TSTP Solution File: HWV046+1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : HWV046+1 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n018.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 02:13:10 EDT 2022
% Result : Theorem 6.65s 4.57s
% Output : Proof 10.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : HWV046+1 : TPTP v8.1.0. Released v5.3.0.
% 0.12/0.12 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Aug 31 22:50:11 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.34 Usage: tptp [options] [-file:]file
% 0.12/0.34 -h, -? prints this message.
% 0.12/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.34 -m, -model generate model.
% 0.12/0.34 -p, -proof generate proof.
% 0.12/0.34 -c, -core generate unsat core of named formulas.
% 0.12/0.34 -st, -statistics display statistics.
% 0.12/0.34 -t:timeout set timeout (in second).
% 0.12/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.34 -<param>:<value> configuration parameter and value.
% 0.12/0.34 -o:<output-file> file to place output in.
% 6.65/4.57 % SZS status Theorem
% 6.65/4.57 % SZS output start Proof
% 6.65/4.57 tff(v193_type, type, (
% 6.65/4.57 v193: $i > $o)).
% 6.65/4.57 tff(constB187_type, type, (
% 6.65/4.57 constB187: $i)).
% 6.65/4.57 tff(tptp_fun_VarCurr_0_type, type, (
% 6.65/4.57 tptp_fun_VarCurr_0: $i)).
% 6.65/4.57 tff(constB83_type, type, (
% 6.65/4.57 constB83: $i)).
% 6.65/4.57 tff(v157_type, type, (
% 6.65/4.57 v157: $i > $o)).
% 6.65/4.57 tff(v206_type, type, (
% 6.65/4.57 v206: $i > $o)).
% 6.65/4.57 tff(v205_type, type, (
% 6.65/4.57 v205: $i > $o)).
% 6.65/4.57 tff(v82_type, type, (
% 6.65/4.57 v82: $i > $o)).
% 6.65/4.57 tff(reachableState_type, type, (
% 6.65/4.57 reachableState: $i > $o)).
% 6.65/4.57 tff(v191_type, type, (
% 6.65/4.57 v191: $i > $o)).
% 6.65/4.57 tff(constB82_type, type, (
% 6.65/4.57 constB82: $i)).
% 6.65/4.57 tff(nextState_type, type, (
% 6.65/4.57 nextState: ( $i * $i ) > $o)).
% 6.65/4.57 tff(v198_type, type, (
% 6.65/4.57 v198: $i > $o)).
% 6.65/4.57 tff(v194_type, type, (
% 6.65/4.57 v194: $i > $o)).
% 6.65/4.57 tff(v200_type, type, (
% 6.65/4.57 v200: $i > $o)).
% 6.65/4.57 tff(v199_type, type, (
% 6.65/4.57 v199: $i > $o)).
% 6.65/4.57 tff(v201_type, type, (
% 6.65/4.57 v201: $i > $o)).
% 6.65/4.57 tff(v197_type, type, (
% 6.65/4.57 v197: $i > $o)).
% 6.65/4.57 tff(v9_type, type, (
% 6.65/4.57 v9: $i > $o)).
% 6.65/4.57 tff(v39_type, type, (
% 6.65/4.57 v39: $i > $o)).
% 6.65/4.57 tff(v1_type, type, (
% 6.65/4.57 v1: $i > $o)).
% 6.65/4.57 tff(v195_type, type, (
% 6.65/4.57 v195: $i > $o)).
% 6.65/4.57 tff(constB81_type, type, (
% 6.65/4.57 constB81: $i)).
% 6.65/4.57 tff(v196_type, type, (
% 6.65/4.57 v196: $i > $o)).
% 6.65/4.57 tff(v26_type, type, (
% 6.65/4.57 v26: $i > $o)).
% 6.65/4.57 tff(v13_type, type, (
% 6.65/4.57 v13: $i > $o)).
% 6.65/4.57 tff(v6_type, type, (
% 6.65/4.57 v6: $i > $o)).
% 6.65/4.57 tff(v21_type, type, (
% 6.65/4.57 v21: $i > $o)).
% 6.65/4.57 tff(v20_type, type, (
% 6.65/4.57 v20: $i > $o)).
% 6.65/4.57 tff(v19_type, type, (
% 6.65/4.57 v19: $i > $o)).
% 6.65/4.57 tff(v22_type, type, (
% 6.65/4.57 v22: $i > $o)).
% 6.65/4.57 tff(v18_type, type, (
% 6.65/4.57 v18: $i > $o)).
% 6.65/4.57 tff(v4_type, type, (
% 6.65/4.57 v4: $i > $o)).
% 6.65/4.57 tff(v161_type, type, (
% 6.65/4.57 v161: $i > $o)).
% 6.65/4.57 tff(v159_type, type, (
% 6.65/4.57 v159: $i > $o)).
% 6.65/4.57 tff(v163_type, type, (
% 6.65/4.57 v163: $i > $o)).
% 6.65/4.57 tff(v170_type, type, (
% 6.65/4.57 v170: $i > $o)).
% 6.65/4.57 tff(v166_type, type, (
% 6.65/4.57 v166: $i > $o)).
% 6.65/4.57 tff(v167_type, type, (
% 6.65/4.57 v167: $i > $o)).
% 6.65/4.57 tff(v145_type, type, (
% 6.65/4.57 v145: $i > $o)).
% 6.65/4.57 tff(v168_type, type, (
% 6.65/4.57 v168: $i > $o)).
% 6.65/4.57 tff(v142_type, type, (
% 6.65/4.57 v142: $i > $o)).
% 6.65/4.57 tff(v169_type, type, (
% 6.65/4.57 v169: $i > $o)).
% 6.65/4.57 tff(v141_type, type, (
% 6.65/4.57 v141: $i > $o)).
% 6.65/4.57 tff(v88_type, type, (
% 6.65/4.57 v88: ( $i * $i ) > $o)).
% 6.65/4.57 tff(bitIndex0_type, type, (
% 6.65/4.57 bitIndex0: $i)).
% 6.65/4.57 tff(bitIndex2_type, type, (
% 6.65/4.57 bitIndex2: $i)).
% 6.65/4.57 tff(bitIndex1_type, type, (
% 6.65/4.57 bitIndex1: $i)).
% 6.65/4.57 tff(v90_type, type, (
% 6.65/4.57 v90: ( $i * $i ) > $o)).
% 6.65/4.57 tff(constB80_type, type, (
% 6.65/4.57 constB80: $i)).
% 6.65/4.57 tff(v100_type, type, (
% 6.65/4.57 v100: $i > $o)).
% 6.65/4.57 tff(v110_type, type, (
% 6.65/4.57 v110: $i > $o)).
% 6.65/4.57 tff(v101_type, type, (
% 6.65/4.57 v101: $i > $o)).
% 6.65/4.57 tff(v102_type, type, (
% 6.65/4.57 v102: $i > $o)).
% 6.65/4.57 tff(v129_type, type, (
% 6.65/4.57 v129: ( $i * $i ) > $o)).
% 6.65/4.57 tff(v127_type, type, (
% 6.65/4.57 v127: ( $i * $i ) > $o)).
% 6.65/4.57 tff(constB79_type, type, (
% 6.65/4.57 constB79: $i)).
% 6.65/4.57 tff(v130_type, type, (
% 6.65/4.57 v130: ( $i * $i ) > $o)).
% 6.65/4.57 tff(v111_type, type, (
% 6.65/4.57 v111: $i > $o)).
% 6.65/4.57 tff(v121_type, type, (
% 6.65/4.57 v121: $i > $o)).
% 6.65/4.57 tff(constB78_type, type, (
% 6.65/4.57 constB78: $i)).
% 6.65/4.57 tff(constB77_type, type, (
% 6.65/4.57 constB77: $i)).
% 6.65/4.57 tff(v120_type, type, (
% 6.65/4.57 v120: $i > $o)).
% 6.65/4.57 tff(constB76_type, type, (
% 6.65/4.57 constB76: $i)).
% 6.65/4.57 tff(constB75_type, type, (
% 6.65/4.57 constB75: $i)).
% 6.65/4.57 tff(constB74_type, type, (
% 6.65/4.57 constB74: $i)).
% 6.65/4.57 tff(constB73_type, type, (
% 6.65/4.57 constB73: $i)).
% 6.65/4.57 tff(v123_type, type, (
% 6.65/4.57 v123: $i > $o)).
% 6.65/4.57 tff(constB72_type, type, (
% 6.65/4.57 constB72: $i)).
% 6.65/4.57 tff(constB71_type, type, (
% 6.65/4.57 constB71: $i)).
% 6.65/4.57 tff(v122_type, type, (
% 6.65/4.57 v122: $i > $o)).
% 6.65/4.57 tff(constB70_type, type, (
% 6.65/4.57 constB70: $i)).
% 6.65/4.57 tff(constB69_type, type, (
% 6.65/4.57 constB69: $i)).
% 6.65/4.57 tff(constB68_type, type, (
% 6.65/4.57 constB68: $i)).
% 6.65/4.57 tff(constB67_type, type, (
% 6.65/4.57 constB67: $i)).
% 6.65/4.57 tff(constB66_type, type, (
% 6.65/4.57 constB66: $i)).
% 6.65/4.57 tff(constB65_type, type, (
% 6.65/4.57 constB65: $i)).
% 6.65/4.57 tff(v119_type, type, (
% 6.65/4.57 v119: $i > $o)).
% 6.65/4.57 tff(constB64_type, type, (
% 6.65/4.57 constB64: $i)).
% 6.65/4.57 tff(constB63_type, type, (
% 6.65/4.57 constB63: $i)).
% 6.65/4.57 tff(constB62_type, type, (
% 6.65/4.57 constB62: $i)).
% 6.65/4.57 tff(constB61_type, type, (
% 6.65/4.57 constB61: $i)).
% 6.65/4.57 tff(constB60_type, type, (
% 6.65/4.57 constB60: $i)).
% 6.65/4.57 tff(constB59_type, type, (
% 6.65/4.57 constB59: $i)).
% 6.65/4.57 tff(constB58_type, type, (
% 6.65/4.57 constB58: $i)).
% 6.65/4.57 tff(constB57_type, type, (
% 6.65/4.57 constB57: $i)).
% 6.65/4.57 tff(constB56_type, type, (
% 6.65/4.57 constB56: $i)).
% 6.65/4.57 tff(constB55_type, type, (
% 6.65/4.57 constB55: $i)).
% 6.65/4.57 tff(constB54_type, type, (
% 6.65/4.57 constB54: $i)).
% 6.65/4.57 tff(constB53_type, type, (
% 6.65/4.57 constB53: $i)).
% 6.65/4.57 tff(constB52_type, type, (
% 6.65/4.57 constB52: $i)).
% 6.65/4.57 tff(constB51_type, type, (
% 6.65/4.57 constB51: $i)).
% 6.65/4.57 tff(constB50_type, type, (
% 6.65/4.57 constB50: $i)).
% 6.65/4.57 tff(constB49_type, type, (
% 6.65/4.57 constB49: $i)).
% 6.65/4.57 tff(constB48_type, type, (
% 6.65/4.57 constB48: $i)).
% 6.65/4.57 tff(constB47_type, type, (
% 6.65/4.57 constB47: $i)).
% 6.65/4.57 tff(constB46_type, type, (
% 6.65/4.57 constB46: $i)).
% 6.65/4.57 tff(constB45_type, type, (
% 6.65/4.57 constB45: $i)).
% 6.65/4.57 tff(constB44_type, type, (
% 6.65/4.57 constB44: $i)).
% 6.65/4.57 tff(constB43_type, type, (
% 6.65/4.57 constB43: $i)).
% 6.65/4.57 tff(constB42_type, type, (
% 6.65/4.57 constB42: $i)).
% 6.65/4.57 tff(constB41_type, type, (
% 6.65/4.57 constB41: $i)).
% 6.65/4.57 tff(constB40_type, type, (
% 6.65/4.57 constB40: $i)).
% 6.65/4.57 tff(constB39_type, type, (
% 6.65/4.57 constB39: $i)).
% 6.65/4.57 tff(constB38_type, type, (
% 6.65/4.57 constB38: $i)).
% 6.65/4.57 tff(constB37_type, type, (
% 6.65/4.57 constB37: $i)).
% 6.65/4.57 tff(constB36_type, type, (
% 6.65/4.57 constB36: $i)).
% 6.65/4.57 tff(constB35_type, type, (
% 6.65/4.57 constB35: $i)).
% 6.65/4.57 tff(constB34_type, type, (
% 6.65/4.57 constB34: $i)).
% 6.65/4.57 tff(constB33_type, type, (
% 6.65/4.57 constB33: $i)).
% 6.65/4.57 tff(constB32_type, type, (
% 6.65/4.57 constB32: $i)).
% 6.65/4.57 tff(constB31_type, type, (
% 6.65/4.57 constB31: $i)).
% 6.65/4.57 tff(constB30_type, type, (
% 6.65/4.57 constB30: $i)).
% 6.65/4.57 tff(constB29_type, type, (
% 6.65/4.57 constB29: $i)).
% 6.65/4.57 tff(constB28_type, type, (
% 6.65/4.57 constB28: $i)).
% 6.65/4.57 tff(constB27_type, type, (
% 6.65/4.57 constB27: $i)).
% 6.65/4.57 tff(constB26_type, type, (
% 6.65/4.57 constB26: $i)).
% 6.65/4.57 tff(constB25_type, type, (
% 6.65/4.57 constB25: $i)).
% 6.65/4.57 tff(constB24_type, type, (
% 6.65/4.57 constB24: $i)).
% 6.65/4.57 tff(constB23_type, type, (
% 6.65/4.57 constB23: $i)).
% 6.65/4.57 tff(constB22_type, type, (
% 6.65/4.57 constB22: $i)).
% 6.65/4.57 tff(constB21_type, type, (
% 6.65/4.57 constB21: $i)).
% 6.65/4.57 tff(constB20_type, type, (
% 6.65/4.57 constB20: $i)).
% 6.65/4.57 tff(constB19_type, type, (
% 6.65/4.57 constB19: $i)).
% 6.65/4.57 tff(constB18_type, type, (
% 6.65/4.57 constB18: $i)).
% 6.65/4.57 tff(constB17_type, type, (
% 6.65/4.57 constB17: $i)).
% 6.65/4.57 tff(constB16_type, type, (
% 6.65/4.57 constB16: $i)).
% 6.65/4.57 tff(constB15_type, type, (
% 6.65/4.57 constB15: $i)).
% 6.65/4.57 tff(constB14_type, type, (
% 6.65/4.57 constB14: $i)).
% 6.65/4.57 tff(constB13_type, type, (
% 6.65/4.57 constB13: $i)).
% 6.65/4.57 tff(constB12_type, type, (
% 6.65/4.57 constB12: $i)).
% 6.65/4.57 tff(constB11_type, type, (
% 6.65/4.57 constB11: $i)).
% 6.65/4.57 tff(constB10_type, type, (
% 6.65/4.57 constB10: $i)).
% 6.65/4.57 tff(constB9_type, type, (
% 6.65/4.57 constB9: $i)).
% 6.65/4.57 tff(constB8_type, type, (
% 6.65/4.57 constB8: $i)).
% 6.65/4.57 tff(constB7_type, type, (
% 6.65/4.57 constB7: $i)).
% 6.65/4.57 tff(constB6_type, type, (
% 6.65/4.57 constB6: $i)).
% 6.65/4.57 tff(constB5_type, type, (
% 6.65/4.57 constB5: $i)).
% 6.65/4.57 tff(constB4_type, type, (
% 6.65/4.57 constB4: $i)).
% 6.65/4.57 tff(constB3_type, type, (
% 6.65/4.57 constB3: $i)).
% 6.65/4.57 tff(constB2_type, type, (
% 6.65/4.57 constB2: $i)).
% 6.65/4.57 tff(constB1_type, type, (
% 6.65/4.57 constB1: $i)).
% 6.65/4.57 tff(constB0_type, type, (
% 6.65/4.57 constB0: $i)).
% 6.65/4.57 tff(v104_type, type, (
% 6.65/4.57 v104: $i > $o)).
% 6.65/4.57 tff(v108_type, type, (
% 6.65/4.57 v108: $i > $o)).
% 6.65/4.57 tff(v112_type, type, (
% 6.65/4.57 v112: $i > $o)).
% 6.65/4.57 tff(v126_type, type, (
% 6.65/4.57 v126: $i > $o)).
% 6.65/4.57 tff(v113_type, type, (
% 6.65/4.57 v113: $i > $o)).
% 6.65/4.57 tff(v125_type, type, (
% 6.65/4.57 v125: $i > $o)).
% 6.65/4.57 tff(v114_type, type, (
% 6.65/4.57 v114: $i > $o)).
% 6.65/4.57 tff(v124_type, type, (
% 6.65/4.57 v124: $i > $o)).
% 6.65/4.57 tff(v115_type, type, (
% 6.65/4.57 v115: $i > $o)).
% 6.65/4.57 tff(v116_type, type, (
% 6.65/4.57 v116: $i > $o)).
% 6.65/4.57 tff(v117_type, type, (
% 6.65/4.57 v117: $i > $o)).
% 6.65/4.57 tff(v118_type, type, (
% 6.65/4.57 v118: $i > $o)).
% 6.65/4.57 tff(v171_type, type, (
% 6.65/4.57 v171: $i > $o)).
% 6.65/4.57 tff(v150_type, type, (
% 6.65/4.57 v150: $i > $o)).
% 6.65/4.57 tff(v151_type, type, (
% 6.65/4.57 v151: $i > $o)).
% 6.65/4.57 tff(constB117_type, type, (
% 6.65/4.57 constB117: $i)).
% 6.65/4.57 tff(constB116_type, type, (
% 6.65/4.57 constB116: $i)).
% 6.65/4.57 tff(constB115_type, type, (
% 6.65/4.57 constB115: $i)).
% 6.65/4.57 tff(v144_type, type, (
% 6.65/4.57 v144: $i > $o)).
% 6.65/4.57 tff(v143_type, type, (
% 6.65/4.57 v143: $i > $o)).
% 6.65/4.57 tff(constB114_type, type, (
% 6.65/4.57 constB114: $i)).
% 6.65/4.57 tff(constB113_type, type, (
% 6.65/4.57 constB113: $i)).
% 6.65/4.57 tff(constB112_type, type, (
% 6.65/4.57 constB112: $i)).
% 6.65/4.57 tff(constB111_type, type, (
% 6.65/4.57 constB111: $i)).
% 6.65/4.57 tff(constB110_type, type, (
% 6.65/4.57 constB110: $i)).
% 6.65/4.57 tff(constB109_type, type, (
% 6.65/4.57 constB109: $i)).
% 6.65/4.57 tff(constB108_type, type, (
% 6.65/4.57 constB108: $i)).
% 6.65/4.57 tff(constB107_type, type, (
% 6.65/4.57 constB107: $i)).
% 6.65/4.57 tff(constB106_type, type, (
% 6.65/4.57 constB106: $i)).
% 6.65/4.57 tff(constB105_type, type, (
% 6.65/4.57 constB105: $i)).
% 6.65/4.57 tff(constB104_type, type, (
% 6.65/4.57 constB104: $i)).
% 6.65/4.57 tff(constB103_type, type, (
% 6.65/4.57 constB103: $i)).
% 6.65/4.57 tff(constB102_type, type, (
% 6.65/4.57 constB102: $i)).
% 6.65/4.57 tff(constB101_type, type, (
% 6.65/4.57 constB101: $i)).
% 6.65/4.57 tff(constB100_type, type, (
% 6.65/4.57 constB100: $i)).
% 6.65/4.57 tff(constB99_type, type, (
% 6.65/4.57 constB99: $i)).
% 6.65/4.57 tff(constB98_type, type, (
% 6.65/4.57 constB98: $i)).
% 6.65/4.57 tff(constB97_type, type, (
% 6.65/4.57 constB97: $i)).
% 6.65/4.57 tff(constB96_type, type, (
% 6.65/4.57 constB96: $i)).
% 6.65/4.57 tff(constB95_type, type, (
% 6.65/4.57 constB95: $i)).
% 6.65/4.57 tff(constB94_type, type, (
% 6.65/4.57 constB94: $i)).
% 6.65/4.57 tff(constB93_type, type, (
% 6.65/4.57 constB93: $i)).
% 6.65/4.57 tff(constB92_type, type, (
% 6.65/4.57 constB92: $i)).
% 6.65/4.57 tff(constB91_type, type, (
% 6.65/4.57 constB91: $i)).
% 6.65/4.57 tff(constB90_type, type, (
% 6.65/4.57 constB90: $i)).
% 6.65/4.57 tff(constB89_type, type, (
% 6.65/4.57 constB89: $i)).
% 6.65/4.57 tff(constB88_type, type, (
% 6.65/4.57 constB88: $i)).
% 6.65/4.57 tff(constB87_type, type, (
% 6.65/4.57 constB87: $i)).
% 6.65/4.57 tff(constB86_type, type, (
% 6.65/4.57 constB86: $i)).
% 6.65/4.57 tff(constB85_type, type, (
% 6.65/4.57 constB85: $i)).
% 6.65/4.57 tff(constB84_type, type, (
% 6.65/4.57 constB84: $i)).
% 6.65/4.57 tff(v86_type, type, (
% 6.65/4.57 v86: $i > $o)).
% 6.65/4.57 tff(v84_type, type, (
% 6.65/4.57 v84: $i > $o)).
% 6.65/4.57 tff(v208_type, type, (
% 6.65/4.57 v208: $i > $o)).
% 6.65/4.57 tff(v207_type, type, (
% 6.65/4.57 v207: $i > $o)).
% 6.65/4.57 tff(v148_type, type, (
% 6.65/4.57 v148: $i > $o)).
% 6.65/4.57 tff(v135_type, type, (
% 6.65/4.57 v135: $i > $o)).
% 6.65/4.57 tff(v136_type, type, (
% 6.65/4.57 v136: $i > $o)).
% 6.65/4.57 tff(v137_type, type, (
% 6.65/4.57 v137: $i > $o)).
% 6.65/4.57 tff(constB197_type, type, (
% 6.65/4.57 constB197: $i)).
% 6.65/4.57 tff(constB196_type, type, (
% 6.65/4.57 constB196: $i)).
% 6.65/4.57 tff(constB195_type, type, (
% 6.65/4.57 constB195: $i)).
% 6.65/4.57 tff(constB194_type, type, (
% 6.65/4.57 constB194: $i)).
% 6.65/4.57 tff(constB193_type, type, (
% 6.65/4.57 constB193: $i)).
% 6.65/4.57 tff(constB192_type, type, (
% 6.65/4.57 constB192: $i)).
% 6.65/4.57 tff(constB191_type, type, (
% 6.65/4.57 constB191: $i)).
% 6.65/4.57 tff(constB190_type, type, (
% 6.65/4.57 constB190: $i)).
% 6.65/4.57 tff(constB189_type, type, (
% 6.65/4.57 constB189: $i)).
% 6.65/4.57 tff(constB188_type, type, (
% 6.65/4.57 constB188: $i)).
% 6.65/4.57 tff(constB186_type, type, (
% 6.65/4.57 constB186: $i)).
% 6.65/4.57 tff(constB185_type, type, (
% 6.65/4.57 constB185: $i)).
% 6.65/4.57 tff(constB184_type, type, (
% 6.65/4.57 constB184: $i)).
% 6.65/4.57 tff(constB183_type, type, (
% 6.65/4.57 constB183: $i)).
% 6.65/4.57 tff(constB182_type, type, (
% 6.65/4.57 constB182: $i)).
% 6.65/4.57 tff(constB181_type, type, (
% 6.65/4.57 constB181: $i)).
% 6.65/4.57 tff(constB180_type, type, (
% 6.65/4.57 constB180: $i)).
% 6.65/4.57 tff(constB179_type, type, (
% 6.65/4.57 constB179: $i)).
% 6.65/4.57 tff(constB178_type, type, (
% 6.65/4.57 constB178: $i)).
% 6.65/4.57 tff(constB177_type, type, (
% 6.65/4.57 constB177: $i)).
% 6.65/4.57 tff(constB176_type, type, (
% 6.65/4.57 constB176: $i)).
% 6.65/4.57 tff(constB175_type, type, (
% 6.65/4.57 constB175: $i)).
% 6.65/4.57 tff(constB174_type, type, (
% 6.65/4.57 constB174: $i)).
% 6.65/4.57 tff(constB173_type, type, (
% 6.65/4.57 constB173: $i)).
% 6.65/4.57 tff(constB172_type, type, (
% 6.65/4.57 constB172: $i)).
% 6.65/4.57 tff(constB171_type, type, (
% 6.65/4.57 constB171: $i)).
% 6.65/4.57 tff(constB170_type, type, (
% 6.65/4.57 constB170: $i)).
% 6.65/4.57 tff(constB169_type, type, (
% 6.65/4.57 constB169: $i)).
% 6.65/4.57 tff(constB168_type, type, (
% 6.65/4.57 constB168: $i)).
% 6.65/4.57 tff(constB167_type, type, (
% 6.65/4.57 constB167: $i)).
% 6.65/4.57 tff(constB166_type, type, (
% 6.65/4.57 constB166: $i)).
% 6.65/4.57 tff(constB165_type, type, (
% 6.65/4.57 constB165: $i)).
% 6.65/4.57 tff(constB164_type, type, (
% 6.65/4.57 constB164: $i)).
% 6.65/4.57 tff(constB163_type, type, (
% 6.65/4.57 constB163: $i)).
% 6.65/4.57 tff(constB162_type, type, (
% 6.65/4.57 constB162: $i)).
% 6.65/4.57 tff(constB161_type, type, (
% 6.65/4.57 constB161: $i)).
% 6.65/4.57 tff(constB160_type, type, (
% 6.65/4.57 constB160: $i)).
% 6.65/4.57 tff(constB159_type, type, (
% 6.65/4.57 constB159: $i)).
% 6.65/4.57 tff(constB158_type, type, (
% 6.65/4.57 constB158: $i)).
% 6.65/4.57 tff(constB157_type, type, (
% 6.65/4.57 constB157: $i)).
% 6.65/4.57 tff(constB156_type, type, (
% 6.65/4.57 constB156: $i)).
% 6.65/4.57 tff(constB155_type, type, (
% 6.65/4.57 constB155: $i)).
% 6.65/4.57 tff(constB154_type, type, (
% 6.65/4.57 constB154: $i)).
% 6.65/4.57 tff(constB153_type, type, (
% 6.65/4.57 constB153: $i)).
% 6.65/4.57 tff(constB152_type, type, (
% 6.65/4.57 constB152: $i)).
% 6.65/4.57 tff(constB151_type, type, (
% 6.65/4.57 constB151: $i)).
% 6.65/4.57 tff(constB150_type, type, (
% 6.65/4.57 constB150: $i)).
% 6.65/4.57 tff(constB149_type, type, (
% 6.65/4.57 constB149: $i)).
% 6.65/4.57 tff(constB148_type, type, (
% 6.65/4.57 constB148: $i)).
% 6.65/4.57 tff(constB147_type, type, (
% 6.65/4.57 constB147: $i)).
% 6.65/4.57 tff(constB146_type, type, (
% 6.65/4.57 constB146: $i)).
% 6.65/4.57 tff(constB145_type, type, (
% 6.65/4.57 constB145: $i)).
% 6.65/4.57 tff(constB144_type, type, (
% 6.65/4.57 constB144: $i)).
% 6.65/4.57 tff(constB143_type, type, (
% 6.65/4.57 constB143: $i)).
% 6.65/4.57 tff(constB142_type, type, (
% 6.65/4.57 constB142: $i)).
% 6.65/4.57 tff(constB141_type, type, (
% 6.65/4.57 constB141: $i)).
% 6.65/4.57 tff(constB140_type, type, (
% 6.65/4.57 constB140: $i)).
% 6.65/4.57 tff(constB139_type, type, (
% 6.65/4.57 constB139: $i)).
% 6.65/4.57 tff(constB138_type, type, (
% 6.65/4.57 constB138: $i)).
% 6.65/4.57 tff(constB137_type, type, (
% 6.65/4.57 constB137: $i)).
% 6.65/4.57 tff(constB136_type, type, (
% 6.65/4.57 constB136: $i)).
% 6.65/4.57 tff(constB135_type, type, (
% 6.65/4.57 constB135: $i)).
% 6.65/4.57 tff(constB134_type, type, (
% 6.65/4.57 constB134: $i)).
% 6.65/4.57 tff(constB133_type, type, (
% 6.65/4.57 constB133: $i)).
% 6.65/4.57 tff(constB132_type, type, (
% 6.65/4.57 constB132: $i)).
% 6.65/4.57 tff(constB131_type, type, (
% 6.65/4.57 constB131: $i)).
% 6.65/4.57 tff(constB130_type, type, (
% 6.65/4.57 constB130: $i)).
% 6.65/4.57 tff(constB129_type, type, (
% 6.65/4.57 constB129: $i)).
% 6.65/4.57 tff(constB128_type, type, (
% 6.65/4.57 constB128: $i)).
% 6.65/4.57 tff(constB127_type, type, (
% 6.65/4.57 constB127: $i)).
% 6.65/4.57 tff(constB126_type, type, (
% 6.65/4.57 constB126: $i)).
% 6.65/4.57 tff(constB125_type, type, (
% 6.65/4.57 constB125: $i)).
% 6.65/4.57 tff(constB124_type, type, (
% 6.65/4.57 constB124: $i)).
% 6.65/4.57 tff(constB123_type, type, (
% 6.65/4.57 constB123: $i)).
% 6.65/4.57 tff(constB122_type, type, (
% 6.65/4.57 constB122: $i)).
% 6.65/4.57 tff(constB121_type, type, (
% 6.65/4.57 constB121: $i)).
% 6.65/4.57 tff(constB120_type, type, (
% 6.65/4.57 constB120: $i)).
% 6.65/4.57 tff(constB119_type, type, (
% 6.65/4.57 constB119: $i)).
% 6.65/4.57 tff(constB118_type, type, (
% 6.65/4.57 constB118: $i)).
% 6.65/4.57 tff(v179_type, type, (
% 6.65/4.57 v179: $i > $o)).
% 6.65/4.57 tff(v180_type, type, (
% 6.65/4.57 v180: $i > $o)).
% 6.65/4.57 tff(v181_type, type, (
% 6.65/4.57 v181: $i > $o)).
% 6.65/4.57 tff(constB199_type, type, (
% 6.65/4.57 constB199: $i)).
% 6.65/4.57 tff(constB198_type, type, (
% 6.65/4.57 constB198: $i)).
% 6.65/4.57 tff(constB200_type, type, (
% 6.65/4.57 constB200: $i)).
% 6.65/4.57 tff(1,assumption,(constB83 = VarCurr!0), introduced(assumption)).
% 6.65/4.57 tff(2,plain,
% 6.65/4.57 (v193(constB83) <=> v193(VarCurr!0)),
% 6.65/4.57 inference(monotonicity,[status(thm)],[1])).
% 6.65/4.57 tff(3,plain,
% 6.65/4.57 (v193(VarCurr!0) <=> v193(constB83)),
% 6.65/4.57 inference(symmetry,[status(thm)],[2])).
% 6.65/4.57 tff(4,plain,
% 6.65/4.57 (^[VarNext: $i] : refl((v157(VarNext) <=> v193(VarNext)) <=> (v157(VarNext) <=> v193(VarNext)))),
% 6.65/4.57 inference(bind,[status(th)],[])).
% 6.65/4.57 tff(5,plain,
% 6.65/4.57 (![VarNext: $i] : (v157(VarNext) <=> v193(VarNext)) <=> ![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))),
% 6.65/4.57 inference(quant_intro,[status(thm)],[4])).
% 6.65/4.57 tff(6,plain,
% 6.65/4.57 (![VarNext: $i] : (v157(VarNext) <=> v193(VarNext)) <=> ![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))),
% 6.65/4.57 inference(rewrite,[status(thm)],[])).
% 6.65/4.57 tff(7,plain,
% 6.65/4.57 (^[VarNext: $i] : rewrite(($true => (v157(VarNext) <=> v193(VarNext))) <=> (v157(VarNext) <=> v193(VarNext)))),
% 6.65/4.57 inference(bind,[status(th)],[])).
% 6.65/4.57 tff(8,plain,
% 6.65/4.57 (![VarNext: $i] : ($true => (v157(VarNext) <=> v193(VarNext))) <=> ![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))),
% 6.65/4.57 inference(quant_intro,[status(thm)],[7])).
% 6.65/4.57 tff(9,axiom,(![VarNext: $i] : ($true => (v157(VarNext) <=> v193(VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch_6')).
% 6.65/4.57 tff(10,plain,
% 6.65/4.57 (![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))),
% 6.65/4.57 inference(modus_ponens,[status(thm)],[9, 8])).
% 6.65/4.57 tff(11,plain,
% 6.65/4.57 (![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))),
% 6.65/4.57 inference(modus_ponens,[status(thm)],[10, 6])).
% 6.65/4.57 tff(12,plain,(
% 6.65/4.57 ![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))),
% 6.65/4.57 inference(skolemize,[status(sab)],[11])).
% 6.65/4.57 tff(13,plain,
% 6.65/4.57 (![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))),
% 6.65/4.57 inference(modus_ponens,[status(thm)],[12, 5])).
% 6.65/4.57 tff(14,plain,
% 6.65/4.57 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(VarCurr!0) <=> v193(VarCurr!0))),
% 6.65/4.57 inference(quant_inst,[status(thm)],[])).
% 6.65/4.57 tff(15,plain,
% 6.65/4.57 (v157(VarCurr!0) <=> v193(VarCurr!0)),
% 6.65/4.57 inference(unit_resolution,[status(thm)],[14, 13])).
% 6.65/4.57 tff(16,plain,
% 6.65/4.57 (^[VarCurr: $i] : refl((v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v157(VarCurr))))) <=> (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v157(VarCurr))))))),
% 6.65/4.57 inference(bind,[status(th)],[])).
% 6.65/4.57 tff(17,plain,
% 6.65/4.57 (![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v157(VarCurr))))) <=> ![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v157(VarCurr)))))),
% 6.65/4.57 inference(quant_intro,[status(thm)],[16])).
% 6.65/4.57 tff(18,plain,
% 6.65/4.57 (^[VarCurr: $i] : rewrite((v205(VarCurr) <=> (v206(VarCurr) & v157(VarCurr))) <=> (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v157(VarCurr))))))),
% 6.65/4.57 inference(bind,[status(th)],[])).
% 6.65/4.57 tff(19,plain,
% 6.65/4.57 (![VarCurr: $i] : (v205(VarCurr) <=> (v206(VarCurr) & v157(VarCurr))) <=> ![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v157(VarCurr)))))),
% 6.65/4.57 inference(quant_intro,[status(thm)],[18])).
% 6.65/4.57 tff(20,plain,
% 6.65/4.57 (![VarCurr: $i] : (v205(VarCurr) <=> (v206(VarCurr) & v157(VarCurr))) <=> ![VarCurr: $i] : (v205(VarCurr) <=> (v206(VarCurr) & v157(VarCurr)))),
% 6.65/4.57 inference(rewrite,[status(thm)],[])).
% 6.65/4.57 tff(21,axiom,(![VarCurr: $i] : (v205(VarCurr) <=> (v206(VarCurr) & v157(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_53')).
% 6.65/4.57 tff(22,plain,
% 6.65/4.57 (![VarCurr: $i] : (v205(VarCurr) <=> (v206(VarCurr) & v157(VarCurr)))),
% 6.65/4.57 inference(modus_ponens,[status(thm)],[21, 20])).
% 6.65/4.57 tff(23,plain,(
% 6.65/4.57 ![VarCurr: $i] : (v205(VarCurr) <=> (v206(VarCurr) & v157(VarCurr)))),
% 6.65/4.57 inference(skolemize,[status(sab)],[22])).
% 6.65/4.57 tff(24,plain,
% 6.65/4.57 (![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v157(VarCurr)))))),
% 6.65/4.57 inference(modus_ponens,[status(thm)],[23, 19])).
% 6.65/4.57 tff(25,plain,
% 6.65/4.57 (![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v157(VarCurr)))))),
% 6.65/4.57 inference(modus_ponens,[status(thm)],[24, 17])).
% 6.65/4.57 tff(26,plain,
% 6.65/4.57 ((~![VarCurr: $i] : (v205(VarCurr) <=> (~((~v206(VarCurr)) | (~v157(VarCurr)))))) | (v205(VarCurr!0) <=> (~((~v206(VarCurr!0)) | (~v157(VarCurr!0)))))),
% 6.65/4.57 inference(quant_inst,[status(thm)],[])).
% 6.65/4.57 tff(27,plain,
% 6.65/4.57 (v205(VarCurr!0) <=> (~((~v206(VarCurr!0)) | (~v157(VarCurr!0))))),
% 6.65/4.57 inference(unit_resolution,[status(thm)],[26, 25])).
% 6.65/4.57 tff(28,plain,
% 6.65/4.57 (^[VarCurr: $i] : refl(((~v82(VarCurr)) <=> v205(VarCurr)) <=> ((~v82(VarCurr)) <=> v205(VarCurr)))),
% 6.65/4.57 inference(bind,[status(th)],[])).
% 6.65/4.57 tff(29,plain,
% 6.65/4.57 (![VarCurr: $i] : ((~v82(VarCurr)) <=> v205(VarCurr)) <=> ![VarCurr: $i] : ((~v82(VarCurr)) <=> v205(VarCurr))),
% 6.65/4.57 inference(quant_intro,[status(thm)],[28])).
% 6.65/4.57 tff(30,plain,
% 6.65/4.57 (![VarCurr: $i] : ((~v82(VarCurr)) <=> v205(VarCurr)) <=> ![VarCurr: $i] : ((~v82(VarCurr)) <=> v205(VarCurr))),
% 6.65/4.57 inference(rewrite,[status(thm)],[])).
% 6.65/4.57 tff(31,axiom,(![VarCurr: $i] : ((~v82(VarCurr)) <=> v205(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeUnaryOperator_18')).
% 6.65/4.57 tff(32,plain,
% 6.65/4.57 (![VarCurr: $i] : ((~v82(VarCurr)) <=> v205(VarCurr))),
% 6.65/4.57 inference(modus_ponens,[status(thm)],[31, 30])).
% 6.65/4.57 tff(33,plain,(
% 6.65/4.57 ![VarCurr: $i] : ((~v82(VarCurr)) <=> v205(VarCurr))),
% 6.65/4.57 inference(skolemize,[status(sab)],[32])).
% 6.65/4.57 tff(34,plain,
% 6.65/4.57 (![VarCurr: $i] : ((~v82(VarCurr)) <=> v205(VarCurr))),
% 6.65/4.57 inference(modus_ponens,[status(thm)],[33, 29])).
% 6.65/4.57 tff(35,plain,
% 6.65/4.57 ((~![VarCurr: $i] : ((~v82(VarCurr)) <=> v205(VarCurr))) | ((~v82(VarCurr!0)) <=> v205(VarCurr!0))),
% 6.65/4.57 inference(quant_inst,[status(thm)],[])).
% 6.65/4.57 tff(36,plain,
% 6.65/4.57 ((~v82(VarCurr!0)) <=> v205(VarCurr!0)),
% 6.65/4.57 inference(unit_resolution,[status(thm)],[35, 34])).
% 6.65/4.57 tff(37,plain,
% 6.65/4.57 ((~![VarCurr: $i] : (v82(VarCurr) | (~reachableState(VarCurr)))) <=> (~![VarCurr: $i] : (v82(VarCurr) | (~reachableState(VarCurr))))),
% 6.65/4.57 inference(rewrite,[status(thm)],[])).
% 6.65/4.57 tff(38,plain,
% 6.65/4.57 ((~![VarCurr: $i] : (reachableState(VarCurr) => v82(VarCurr))) <=> (~![VarCurr: $i] : (v82(VarCurr) | (~reachableState(VarCurr))))),
% 6.65/4.57 inference(rewrite,[status(thm)],[])).
% 6.65/4.57 tff(39,axiom,(~![VarCurr: $i] : (reachableState(VarCurr) => v82(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssertion')).
% 6.65/4.57 tff(40,plain,
% 6.65/4.57 (~![VarCurr: $i] : (v82(VarCurr) | (~reachableState(VarCurr)))),
% 6.65/4.57 inference(modus_ponens,[status(thm)],[39, 38])).
% 6.65/4.57 tff(41,plain,
% 6.65/4.57 (~![VarCurr: $i] : (v82(VarCurr) | (~reachableState(VarCurr)))),
% 6.65/4.57 inference(modus_ponens,[status(thm)],[40, 37])).
% 6.65/4.57 tff(42,plain,
% 6.65/4.57 (~![VarCurr: $i] : (v82(VarCurr) | (~reachableState(VarCurr)))),
% 6.65/4.57 inference(modus_ponens,[status(thm)],[41, 37])).
% 6.65/4.57 tff(43,plain,
% 6.65/4.57 (~![VarCurr: $i] : (v82(VarCurr) | (~reachableState(VarCurr)))),
% 6.65/4.57 inference(modus_ponens,[status(thm)],[42, 37])).
% 6.65/4.57 tff(44,plain,
% 6.65/4.57 (~![VarCurr: $i] : (v82(VarCurr) | (~reachableState(VarCurr)))),
% 6.65/4.57 inference(modus_ponens,[status(thm)],[43, 37])).
% 6.65/4.57 tff(45,plain,
% 6.65/4.57 (~![VarCurr: $i] : (v82(VarCurr) | (~reachableState(VarCurr)))),
% 6.65/4.57 inference(modus_ponens,[status(thm)],[44, 37])).
% 6.65/4.57 tff(46,plain,
% 6.65/4.57 (~![VarCurr: $i] : (v82(VarCurr) | (~reachableState(VarCurr)))),
% 6.65/4.57 inference(modus_ponens,[status(thm)],[45, 37])).
% 6.65/4.57 tff(47,plain,(
% 6.65/4.57 ~(v82(VarCurr!0) | (~reachableState(VarCurr!0)))),
% 6.65/4.57 inference(skolemize,[status(sab)],[46])).
% 6.65/4.57 tff(48,plain,
% 6.65/4.57 (~v82(VarCurr!0)),
% 6.65/4.57 inference(or_elim,[status(thm)],[47])).
% 6.65/4.57 tff(49,plain,
% 6.65/4.57 ((~((~v82(VarCurr!0)) <=> v205(VarCurr!0))) | v82(VarCurr!0) | v205(VarCurr!0)),
% 6.65/4.57 inference(tautology,[status(thm)],[])).
% 6.65/4.57 tff(50,plain,
% 6.65/4.57 ((~((~v82(VarCurr!0)) <=> v205(VarCurr!0))) | v205(VarCurr!0)),
% 6.65/4.57 inference(unit_resolution,[status(thm)],[49, 48])).
% 6.65/4.57 tff(51,plain,
% 6.65/4.57 (v205(VarCurr!0)),
% 6.65/4.57 inference(unit_resolution,[status(thm)],[50, 36])).
% 6.65/4.57 tff(52,plain,
% 6.65/4.57 ((~(v205(VarCurr!0) <=> (~((~v206(VarCurr!0)) | (~v157(VarCurr!0)))))) | (~v205(VarCurr!0)) | (~((~v206(VarCurr!0)) | (~v157(VarCurr!0))))),
% 6.65/4.57 inference(tautology,[status(thm)],[])).
% 6.65/4.57 tff(53,plain,
% 6.65/4.57 ((~(v205(VarCurr!0) <=> (~((~v206(VarCurr!0)) | (~v157(VarCurr!0)))))) | (~((~v206(VarCurr!0)) | (~v157(VarCurr!0))))),
% 6.65/4.57 inference(unit_resolution,[status(thm)],[52, 51])).
% 6.65/4.57 tff(54,plain,
% 6.65/4.57 (~((~v206(VarCurr!0)) | (~v157(VarCurr!0)))),
% 6.65/4.57 inference(unit_resolution,[status(thm)],[53, 27])).
% 6.65/4.57 tff(55,plain,
% 6.65/4.57 (((~v206(VarCurr!0)) | (~v157(VarCurr!0))) | v157(VarCurr!0)),
% 6.65/4.57 inference(tautology,[status(thm)],[])).
% 6.65/4.57 tff(56,plain,
% 6.65/4.57 (v157(VarCurr!0)),
% 6.65/4.57 inference(unit_resolution,[status(thm)],[55, 54])).
% 6.65/4.57 tff(57,plain,
% 6.65/4.57 ((~(v157(VarCurr!0) <=> v193(VarCurr!0))) | (~v157(VarCurr!0)) | v193(VarCurr!0)),
% 6.65/4.57 inference(tautology,[status(thm)],[])).
% 6.65/4.57 tff(58,plain,
% 6.65/4.57 ((~(v157(VarCurr!0) <=> v193(VarCurr!0))) | v193(VarCurr!0)),
% 6.65/4.57 inference(unit_resolution,[status(thm)],[57, 56])).
% 6.65/4.57 tff(59,plain,
% 6.65/4.57 (v193(VarCurr!0)),
% 6.65/4.57 inference(unit_resolution,[status(thm)],[58, 15])).
% 6.65/4.57 tff(60,plain,
% 6.65/4.57 (v193(constB83)),
% 6.65/4.57 inference(modus_ponens,[status(thm)],[59, 3])).
% 6.65/4.57 tff(61,plain,
% 6.65/4.57 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr))))),
% 6.65/4.57 inference(bind,[status(th)],[])).
% 6.65/4.57 tff(62,plain,
% 6.65/4.57 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))),
% 6.65/4.57 inference(quant_intro,[status(thm)],[61])).
% 6.65/4.57 tff(63,plain,
% 6.65/4.57 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))),
% 6.65/4.57 inference(rewrite,[status(thm)],[])).
% 6.65/4.57 tff(64,plain,
% 6.65/4.57 (^[VarNext: $i, VarCurr: $i] : rewrite((nextState(VarCurr, VarNext) => (v193(VarNext) <=> v191(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr))))),
% 6.65/4.57 inference(bind,[status(th)],[])).
% 6.65/4.57 tff(65,plain,
% 6.65/4.57 (![VarNext: $i, VarCurr: $i] : (nextState(VarCurr, VarNext) => (v193(VarNext) <=> v191(VarCurr))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))),
% 6.65/4.57 inference(quant_intro,[status(thm)],[64])).
% 6.65/4.57 tff(66,axiom,(![VarNext: $i, VarCurr: $i] : (nextState(VarCurr, VarNext) => (v193(VarNext) <=> v191(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_12')).
% 6.65/4.57 tff(67,plain,
% 6.65/4.57 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))),
% 6.65/4.57 inference(modus_ponens,[status(thm)],[66, 65])).
% 6.65/4.57 tff(68,plain,
% 6.65/4.57 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))),
% 6.65/4.57 inference(modus_ponens,[status(thm)],[67, 63])).
% 6.65/4.57 tff(69,plain,(
% 6.65/4.57 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))),
% 6.65/4.57 inference(skolemize,[status(sab)],[68])).
% 6.65/4.57 tff(70,plain,
% 6.65/4.57 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))),
% 6.65/4.57 inference(modus_ponens,[status(thm)],[69, 62])).
% 6.65/4.57 tff(71,plain,
% 6.65/4.57 (nextState(constB82, constB83) <=> nextState(constB82, constB83)),
% 6.65/4.57 inference(rewrite,[status(thm)],[])).
% 6.65/4.57 tff(72,axiom,(nextState(constB82, constB83)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_82')).
% 6.65/4.57 tff(73,plain,
% 6.65/4.57 (nextState(constB82, constB83)),
% 6.65/4.57 inference(modus_ponens,[status(thm)],[72, 71])).
% 6.65/4.57 tff(74,plain,
% 6.65/4.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB82, constB83)) | (v193(constB83) <=> v191(constB82)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB82, constB83)) | (v193(constB83) <=> v191(constB82)))),
% 6.65/4.57 inference(rewrite,[status(thm)],[])).
% 6.65/4.57 tff(75,plain,
% 6.65/4.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB82, constB83)) | (v193(constB83) <=> v191(constB82)))),
% 6.65/4.57 inference(quant_inst,[status(thm)],[])).
% 6.65/4.57 tff(76,plain,
% 6.65/4.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB82, constB83)) | (v193(constB83) <=> v191(constB82))),
% 6.65/4.57 inference(modus_ponens,[status(thm)],[75, 74])).
% 6.65/4.57 tff(77,plain,
% 6.65/4.57 (v193(constB83) <=> v191(constB82)),
% 6.65/4.57 inference(unit_resolution,[status(thm)],[76, 73, 70])).
% 6.65/4.57 tff(78,plain,
% 6.65/4.57 (^[VarCurr: $i] : refl((v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr))) <=> (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr))))),
% 6.65/4.57 inference(bind,[status(th)],[])).
% 6.65/4.57 tff(79,plain,
% 6.65/4.57 (![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr))) <=> ![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))),
% 6.65/4.57 inference(quant_intro,[status(thm)],[78])).
% 6.65/4.57 tff(80,plain,
% 6.65/4.57 (![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr))) <=> ![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))),
% 6.65/4.57 inference(rewrite,[status(thm)],[])).
% 6.65/4.57 tff(81,axiom,(![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_50')).
% 6.65/4.57 tff(82,plain,
% 6.65/4.57 (![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))),
% 6.65/4.57 inference(modus_ponens,[status(thm)],[81, 80])).
% 6.65/4.57 tff(83,plain,(
% 6.65/4.57 ![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))),
% 6.65/4.57 inference(skolemize,[status(sab)],[82])).
% 6.65/4.57 tff(84,plain,
% 6.65/4.57 (![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))),
% 6.65/4.57 inference(modus_ponens,[status(thm)],[83, 79])).
% 6.65/4.57 tff(85,plain,
% 6.65/4.57 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB82) <=> (v194(constB82) | v198(constB82)))),
% 6.65/4.57 inference(quant_inst,[status(thm)],[])).
% 6.65/4.57 tff(86,plain,
% 6.65/4.57 (v191(constB82) <=> (v194(constB82) | v198(constB82))),
% 6.65/4.57 inference(unit_resolution,[status(thm)],[85, 84])).
% 6.65/4.57 tff(87,plain,
% 6.65/4.57 (^[VarCurr: $i] : refl((v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr))))) <=> (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr))))))),
% 6.65/4.57 inference(bind,[status(th)],[])).
% 6.65/4.57 tff(88,plain,
% 6.65/4.57 (![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr))))) <=> ![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))),
% 6.65/4.57 inference(quant_intro,[status(thm)],[87])).
% 6.65/4.57 tff(89,plain,
% 6.65/4.57 (^[VarCurr: $i] : rewrite((v198(VarCurr) <=> (v199(VarCurr) & v200(VarCurr))) <=> (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr))))))),
% 6.65/4.57 inference(bind,[status(th)],[])).
% 6.65/4.57 tff(90,plain,
% 6.65/4.57 (![VarCurr: $i] : (v198(VarCurr) <=> (v199(VarCurr) & v200(VarCurr))) <=> ![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))),
% 6.65/4.57 inference(quant_intro,[status(thm)],[89])).
% 6.65/4.57 tff(91,plain,
% 6.65/4.57 (![VarCurr: $i] : (v198(VarCurr) <=> (v199(VarCurr) & v200(VarCurr))) <=> ![VarCurr: $i] : (v198(VarCurr) <=> (v199(VarCurr) & v200(VarCurr)))),
% 6.65/4.57 inference(rewrite,[status(thm)],[])).
% 6.65/4.57 tff(92,axiom,(![VarCurr: $i] : (v198(VarCurr) <=> (v199(VarCurr) & v200(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_49')).
% 6.65/4.57 tff(93,plain,
% 6.65/4.57 (![VarCurr: $i] : (v198(VarCurr) <=> (v199(VarCurr) & v200(VarCurr)))),
% 6.65/4.57 inference(modus_ponens,[status(thm)],[92, 91])).
% 6.65/4.57 tff(94,plain,(
% 6.65/4.57 ![VarCurr: $i] : (v198(VarCurr) <=> (v199(VarCurr) & v200(VarCurr)))),
% 6.65/4.57 inference(skolemize,[status(sab)],[93])).
% 6.65/4.57 tff(95,plain,
% 6.65/4.57 (![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))),
% 6.65/4.57 inference(modus_ponens,[status(thm)],[94, 90])).
% 6.65/4.57 tff(96,plain,
% 6.65/4.57 (![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))),
% 6.65/4.57 inference(modus_ponens,[status(thm)],[95, 88])).
% 6.65/4.57 tff(97,plain,
% 6.65/4.57 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB82) <=> (~((~v199(constB82)) | (~v200(constB82)))))),
% 6.65/4.57 inference(quant_inst,[status(thm)],[])).
% 6.65/4.57 tff(98,plain,
% 6.65/4.57 (v198(constB82) <=> (~((~v199(constB82)) | (~v200(constB82))))),
% 6.65/4.57 inference(unit_resolution,[status(thm)],[97, 96])).
% 6.65/4.57 tff(99,plain,
% 6.65/4.57 (^[VarCurr: $i] : refl((v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr))))) <=> (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr))))))),
% 6.65/4.57 inference(bind,[status(th)],[])).
% 6.65/4.57 tff(100,plain,
% 6.65/4.57 (![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr))))) <=> ![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))),
% 6.65/4.57 inference(quant_intro,[status(thm)],[99])).
% 6.65/4.57 tff(101,plain,
% 6.65/4.57 (^[VarCurr: $i] : rewrite((v200(VarCurr) <=> (v197(VarCurr) & v201(VarCurr))) <=> (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr))))))),
% 6.65/4.57 inference(bind,[status(th)],[])).
% 6.65/4.57 tff(102,plain,
% 6.65/4.57 (![VarCurr: $i] : (v200(VarCurr) <=> (v197(VarCurr) & v201(VarCurr))) <=> ![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))),
% 6.65/4.57 inference(quant_intro,[status(thm)],[101])).
% 6.65/4.57 tff(103,plain,
% 6.65/4.57 (![VarCurr: $i] : (v200(VarCurr) <=> (v197(VarCurr) & v201(VarCurr))) <=> ![VarCurr: $i] : (v200(VarCurr) <=> (v197(VarCurr) & v201(VarCurr)))),
% 6.65/4.57 inference(rewrite,[status(thm)],[])).
% 6.65/4.57 tff(104,axiom,(![VarCurr: $i] : (v200(VarCurr) <=> (v197(VarCurr) & v201(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_48')).
% 6.65/4.57 tff(105,plain,
% 6.65/4.57 (![VarCurr: $i] : (v200(VarCurr) <=> (v197(VarCurr) & v201(VarCurr)))),
% 6.65/4.57 inference(modus_ponens,[status(thm)],[104, 103])).
% 6.65/4.57 tff(106,plain,(
% 6.65/4.57 ![VarCurr: $i] : (v200(VarCurr) <=> (v197(VarCurr) & v201(VarCurr)))),
% 6.65/4.57 inference(skolemize,[status(sab)],[105])).
% 6.65/4.57 tff(107,plain,
% 6.65/4.57 (![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))),
% 6.65/4.57 inference(modus_ponens,[status(thm)],[106, 102])).
% 6.65/4.57 tff(108,plain,
% 6.65/4.57 (![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))),
% 6.65/4.57 inference(modus_ponens,[status(thm)],[107, 100])).
% 6.65/4.57 tff(109,plain,
% 6.65/4.57 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB82) <=> (~((~v197(constB82)) | (~v201(constB82)))))),
% 6.65/4.57 inference(quant_inst,[status(thm)],[])).
% 6.65/4.57 tff(110,plain,
% 6.65/4.57 (v200(constB82) <=> (~((~v197(constB82)) | (~v201(constB82))))),
% 6.65/4.57 inference(unit_resolution,[status(thm)],[109, 108])).
% 6.65/4.57 tff(111,plain,
% 6.65/4.57 (^[VarCurr: $i] : refl((v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr))))) <=> (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr))))))),
% 6.65/4.57 inference(bind,[status(th)],[])).
% 6.65/4.57 tff(112,plain,
% 6.65/4.57 (![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr))))) <=> ![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))),
% 6.65/4.57 inference(quant_intro,[status(thm)],[111])).
% 6.65/4.57 tff(113,plain,
% 6.65/4.57 (^[VarCurr: $i] : rewrite((v197(VarCurr) <=> (v39(VarCurr) & v9(VarCurr))) <=> (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr))))))),
% 6.65/4.57 inference(bind,[status(th)],[])).
% 6.65/4.57 tff(114,plain,
% 6.65/4.57 (![VarCurr: $i] : (v197(VarCurr) <=> (v39(VarCurr) & v9(VarCurr))) <=> ![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))),
% 6.65/4.57 inference(quant_intro,[status(thm)],[113])).
% 6.65/4.57 tff(115,plain,
% 6.65/4.57 (![VarCurr: $i] : (v197(VarCurr) <=> (v39(VarCurr) & v9(VarCurr))) <=> ![VarCurr: $i] : (v197(VarCurr) <=> (v39(VarCurr) & v9(VarCurr)))),
% 6.65/4.57 inference(rewrite,[status(thm)],[])).
% 6.65/4.57 tff(116,axiom,(![VarCurr: $i] : (v197(VarCurr) <=> (v39(VarCurr) & v9(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_44')).
% 6.65/4.57 tff(117,plain,
% 6.65/4.57 (![VarCurr: $i] : (v197(VarCurr) <=> (v39(VarCurr) & v9(VarCurr)))),
% 6.65/4.57 inference(modus_ponens,[status(thm)],[116, 115])).
% 6.65/4.57 tff(118,plain,(
% 6.65/4.57 ![VarCurr: $i] : (v197(VarCurr) <=> (v39(VarCurr) & v9(VarCurr)))),
% 6.65/4.57 inference(skolemize,[status(sab)],[117])).
% 6.65/4.57 tff(119,plain,
% 6.65/4.57 (![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))),
% 6.65/4.57 inference(modus_ponens,[status(thm)],[118, 114])).
% 6.65/4.57 tff(120,plain,
% 6.65/4.57 (![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))),
% 6.65/4.57 inference(modus_ponens,[status(thm)],[119, 112])).
% 6.65/4.57 tff(121,plain,
% 6.65/4.57 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB82) <=> (~((~v39(constB82)) | (~v9(constB82)))))),
% 6.65/4.57 inference(quant_inst,[status(thm)],[])).
% 6.65/4.57 tff(122,plain,
% 6.65/4.57 (v197(constB82) <=> (~((~v39(constB82)) | (~v9(constB82))))),
% 6.65/4.57 inference(unit_resolution,[status(thm)],[121, 120])).
% 6.65/4.57 tff(123,plain,
% 6.65/4.57 (^[VarCurr: $i] : refl(((~v39(VarCurr)) <=> v1(VarCurr)) <=> ((~v39(VarCurr)) <=> v1(VarCurr)))),
% 6.65/4.57 inference(bind,[status(th)],[])).
% 6.65/4.57 tff(124,plain,
% 6.65/4.57 (![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr)) <=> ![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))),
% 6.65/4.57 inference(quant_intro,[status(thm)],[123])).
% 6.65/4.57 tff(125,plain,
% 6.65/4.57 (![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr)) <=> ![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))),
% 6.65/4.57 inference(rewrite,[status(thm)],[])).
% 6.65/4.57 tff(126,axiom,(![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeUnaryOperator_3')).
% 6.65/4.57 tff(127,plain,
% 6.65/4.57 (![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))),
% 6.65/4.57 inference(modus_ponens,[status(thm)],[126, 125])).
% 6.65/4.57 tff(128,plain,(
% 6.65/4.57 ![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))),
% 6.65/4.57 inference(skolemize,[status(sab)],[127])).
% 6.65/4.57 tff(129,plain,
% 6.65/4.57 (![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))),
% 6.65/4.57 inference(modus_ponens,[status(thm)],[128, 124])).
% 6.65/4.57 tff(130,plain,
% 6.65/4.57 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB82)) <=> v1(constB82))),
% 6.65/4.57 inference(quant_inst,[status(thm)],[])).
% 6.65/4.57 tff(131,plain,
% 6.65/4.57 ((~v39(constB82)) <=> v1(constB82)),
% 6.65/4.57 inference(unit_resolution,[status(thm)],[130, 129])).
% 6.65/4.57 tff(132,plain,
% 6.65/4.57 (v1(constB82) <=> v1(constB82)),
% 6.65/4.57 inference(rewrite,[status(thm)],[])).
% 6.65/4.57 tff(133,axiom,(v1(constB82)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_82')).
% 6.65/4.57 tff(134,plain,
% 6.65/4.57 (v1(constB82)),
% 6.65/4.57 inference(modus_ponens,[status(thm)],[133, 132])).
% 6.65/4.57 tff(135,plain,
% 6.65/4.57 ((~((~v39(constB82)) <=> v1(constB82))) | (~v39(constB82)) | (~v1(constB82))),
% 6.65/4.57 inference(tautology,[status(thm)],[])).
% 6.65/4.57 tff(136,plain,
% 6.65/4.57 ((~((~v39(constB82)) <=> v1(constB82))) | (~v39(constB82))),
% 6.65/4.57 inference(unit_resolution,[status(thm)],[135, 134])).
% 6.65/4.57 tff(137,plain,
% 6.65/4.57 (~v39(constB82)),
% 6.65/4.57 inference(unit_resolution,[status(thm)],[136, 131])).
% 6.65/4.57 tff(138,plain,
% 6.65/4.57 (((~v39(constB82)) | (~v9(constB82))) | v39(constB82)),
% 6.65/4.57 inference(tautology,[status(thm)],[])).
% 6.65/4.57 tff(139,plain,
% 6.65/4.57 ((~v39(constB82)) | (~v9(constB82))),
% 6.65/4.57 inference(unit_resolution,[status(thm)],[138, 137])).
% 6.65/4.57 tff(140,plain,
% 6.65/4.57 ((~(v197(constB82) <=> (~((~v39(constB82)) | (~v9(constB82)))))) | (~v197(constB82)) | (~((~v39(constB82)) | (~v9(constB82))))),
% 6.65/4.57 inference(tautology,[status(thm)],[])).
% 6.65/4.57 tff(141,plain,
% 6.65/4.57 ((~(v197(constB82) <=> (~((~v39(constB82)) | (~v9(constB82)))))) | (~v197(constB82))),
% 6.65/4.57 inference(unit_resolution,[status(thm)],[140, 139])).
% 6.65/4.57 tff(142,plain,
% 6.65/4.57 (~v197(constB82)),
% 6.65/4.57 inference(unit_resolution,[status(thm)],[141, 122])).
% 6.65/4.57 tff(143,plain,
% 6.65/4.57 (((~v197(constB82)) | (~v201(constB82))) | v197(constB82)),
% 6.65/4.57 inference(tautology,[status(thm)],[])).
% 6.65/4.57 tff(144,plain,
% 6.65/4.57 ((~v197(constB82)) | (~v201(constB82))),
% 6.65/4.57 inference(unit_resolution,[status(thm)],[143, 142])).
% 6.65/4.57 tff(145,plain,
% 6.65/4.57 ((~(v200(constB82) <=> (~((~v197(constB82)) | (~v201(constB82)))))) | (~v200(constB82)) | (~((~v197(constB82)) | (~v201(constB82))))),
% 6.65/4.57 inference(tautology,[status(thm)],[])).
% 6.65/4.57 tff(146,plain,
% 6.65/4.57 ((~(v200(constB82) <=> (~((~v197(constB82)) | (~v201(constB82)))))) | (~v200(constB82))),
% 6.65/4.57 inference(unit_resolution,[status(thm)],[145, 144])).
% 6.65/4.57 tff(147,plain,
% 6.65/4.57 (~v200(constB82)),
% 6.65/4.57 inference(unit_resolution,[status(thm)],[146, 110])).
% 6.65/4.57 tff(148,plain,
% 6.65/4.57 (((~v199(constB82)) | (~v200(constB82))) | v200(constB82)),
% 6.65/4.57 inference(tautology,[status(thm)],[])).
% 6.65/4.57 tff(149,plain,
% 6.65/4.57 ((~v199(constB82)) | (~v200(constB82))),
% 6.65/4.57 inference(unit_resolution,[status(thm)],[148, 147])).
% 6.65/4.57 tff(150,plain,
% 6.65/4.57 ((~(v198(constB82) <=> (~((~v199(constB82)) | (~v200(constB82)))))) | (~v198(constB82)) | (~((~v199(constB82)) | (~v200(constB82))))),
% 6.65/4.57 inference(tautology,[status(thm)],[])).
% 6.65/4.57 tff(151,plain,
% 6.65/4.57 (~v198(constB82)),
% 6.65/4.57 inference(unit_resolution,[status(thm)],[150, 149, 98])).
% 6.65/4.57 tff(152,plain,
% 6.65/4.57 (^[VarCurr: $i] : refl((v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr))))) <=> (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr))))))),
% 6.65/4.57 inference(bind,[status(th)],[])).
% 6.65/4.57 tff(153,plain,
% 6.65/4.57 (![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr))))) <=> ![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))),
% 6.65/4.57 inference(quant_intro,[status(thm)],[152])).
% 6.65/4.57 tff(154,plain,
% 6.65/4.57 (^[VarCurr: $i] : rewrite((v194(VarCurr) <=> (v195(VarCurr) & v157(VarCurr))) <=> (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr))))))),
% 6.65/4.57 inference(bind,[status(th)],[])).
% 6.65/4.57 tff(155,plain,
% 6.65/4.57 (![VarCurr: $i] : (v194(VarCurr) <=> (v195(VarCurr) & v157(VarCurr))) <=> ![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))),
% 6.65/4.57 inference(quant_intro,[status(thm)],[154])).
% 6.65/4.57 tff(156,plain,
% 6.65/4.57 (![VarCurr: $i] : (v194(VarCurr) <=> (v195(VarCurr) & v157(VarCurr))) <=> ![VarCurr: $i] : (v194(VarCurr) <=> (v195(VarCurr) & v157(VarCurr)))),
% 6.65/4.57 inference(rewrite,[status(thm)],[])).
% 6.65/4.57 tff(157,axiom,(![VarCurr: $i] : (v194(VarCurr) <=> (v195(VarCurr) & v157(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_46')).
% 6.65/4.57 tff(158,plain,
% 6.65/4.57 (![VarCurr: $i] : (v194(VarCurr) <=> (v195(VarCurr) & v157(VarCurr)))),
% 6.65/4.57 inference(modus_ponens,[status(thm)],[157, 156])).
% 6.65/4.57 tff(159,plain,(
% 6.65/4.57 ![VarCurr: $i] : (v194(VarCurr) <=> (v195(VarCurr) & v157(VarCurr)))),
% 6.65/4.57 inference(skolemize,[status(sab)],[158])).
% 6.65/4.57 tff(160,plain,
% 6.65/4.57 (![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))),
% 6.65/4.57 inference(modus_ponens,[status(thm)],[159, 155])).
% 6.65/4.57 tff(161,plain,
% 6.65/4.57 (![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))),
% 6.65/4.57 inference(modus_ponens,[status(thm)],[160, 153])).
% 6.65/4.57 tff(162,plain,
% 6.65/4.57 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB82) <=> (~((~v157(constB82)) | (~v195(constB82)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB82) <=> (~((~v157(constB82)) | (~v195(constB82))))))),
% 6.65/4.57 inference(rewrite,[status(thm)],[])).
% 6.65/4.57 tff(163,plain,
% 6.65/4.57 ((v194(constB82) <=> (~((~v195(constB82)) | (~v157(constB82))))) <=> (v194(constB82) <=> (~((~v157(constB82)) | (~v195(constB82)))))),
% 6.65/4.57 inference(rewrite,[status(thm)],[])).
% 6.65/4.57 tff(164,plain,
% 6.65/4.57 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB82) <=> (~((~v195(constB82)) | (~v157(constB82)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB82) <=> (~((~v157(constB82)) | (~v195(constB82))))))),
% 6.65/4.57 inference(monotonicity,[status(thm)],[163])).
% 6.65/4.57 tff(165,plain,
% 6.65/4.57 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB82) <=> (~((~v195(constB82)) | (~v157(constB82)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB82) <=> (~((~v157(constB82)) | (~v195(constB82))))))),
% 6.65/4.57 inference(transitivity,[status(thm)],[164, 162])).
% 6.65/4.57 tff(166,plain,
% 6.65/4.57 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB82) <=> (~((~v195(constB82)) | (~v157(constB82)))))),
% 6.65/4.57 inference(quant_inst,[status(thm)],[])).
% 6.65/4.58 tff(167,plain,
% 6.65/4.58 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB82) <=> (~((~v157(constB82)) | (~v195(constB82)))))),
% 6.65/4.58 inference(modus_ponens,[status(thm)],[166, 165])).
% 6.65/4.58 tff(168,plain,
% 6.65/4.58 (v194(constB82) <=> (~((~v157(constB82)) | (~v195(constB82))))),
% 6.65/4.58 inference(unit_resolution,[status(thm)],[167, 161])).
% 6.65/4.58 tff(169,plain,
% 6.65/4.58 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB82) <=> v193(constB82))),
% 6.65/4.58 inference(quant_inst,[status(thm)],[])).
% 6.65/4.58 tff(170,plain,
% 6.65/4.58 (v157(constB82) <=> v193(constB82)),
% 6.65/4.58 inference(unit_resolution,[status(thm)],[169, 13])).
% 6.65/4.58 tff(171,plain,
% 6.65/4.58 (nextState(constB81, constB82) <=> nextState(constB81, constB82)),
% 6.65/4.58 inference(rewrite,[status(thm)],[])).
% 6.65/4.58 tff(172,axiom,(nextState(constB81, constB82)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_81')).
% 6.65/4.58 tff(173,plain,
% 6.65/4.58 (nextState(constB81, constB82)),
% 6.65/4.58 inference(modus_ponens,[status(thm)],[172, 171])).
% 6.65/4.58 tff(174,plain,
% 6.65/4.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB81, constB82)) | (v193(constB82) <=> v191(constB81)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB81, constB82)) | (v193(constB82) <=> v191(constB81)))),
% 6.65/4.58 inference(rewrite,[status(thm)],[])).
% 6.65/4.58 tff(175,plain,
% 6.65/4.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB81, constB82)) | (v193(constB82) <=> v191(constB81)))),
% 6.65/4.58 inference(quant_inst,[status(thm)],[])).
% 6.65/4.58 tff(176,plain,
% 6.65/4.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB81, constB82)) | (v193(constB82) <=> v191(constB81))),
% 6.65/4.58 inference(modus_ponens,[status(thm)],[175, 174])).
% 6.65/4.58 tff(177,plain,
% 6.65/4.58 (v193(constB82) <=> v191(constB81)),
% 6.65/4.58 inference(unit_resolution,[status(thm)],[176, 173, 70])).
% 6.65/4.58 tff(178,plain,
% 6.65/4.58 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB81) <=> (v194(constB81) | v198(constB81)))),
% 6.65/4.58 inference(quant_inst,[status(thm)],[])).
% 6.65/4.58 tff(179,plain,
% 6.65/4.58 (v191(constB81) <=> (v194(constB81) | v198(constB81))),
% 6.65/4.58 inference(unit_resolution,[status(thm)],[178, 84])).
% 6.65/4.58 tff(180,plain,
% 6.65/4.58 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB81) <=> (~((~v157(constB81)) | (~v195(constB81)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB81) <=> (~((~v157(constB81)) | (~v195(constB81))))))),
% 6.65/4.58 inference(rewrite,[status(thm)],[])).
% 6.65/4.58 tff(181,plain,
% 6.65/4.58 ((v194(constB81) <=> (~((~v195(constB81)) | (~v157(constB81))))) <=> (v194(constB81) <=> (~((~v157(constB81)) | (~v195(constB81)))))),
% 6.65/4.58 inference(rewrite,[status(thm)],[])).
% 6.65/4.58 tff(182,plain,
% 6.65/4.58 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB81) <=> (~((~v195(constB81)) | (~v157(constB81)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB81) <=> (~((~v157(constB81)) | (~v195(constB81))))))),
% 6.65/4.58 inference(monotonicity,[status(thm)],[181])).
% 6.65/4.58 tff(183,plain,
% 6.65/4.58 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB81) <=> (~((~v195(constB81)) | (~v157(constB81)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB81) <=> (~((~v157(constB81)) | (~v195(constB81))))))),
% 6.65/4.58 inference(transitivity,[status(thm)],[182, 180])).
% 6.65/4.58 tff(184,plain,
% 6.65/4.58 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB81) <=> (~((~v195(constB81)) | (~v157(constB81)))))),
% 6.65/4.58 inference(quant_inst,[status(thm)],[])).
% 6.65/4.58 tff(185,plain,
% 6.65/4.58 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB81) <=> (~((~v157(constB81)) | (~v195(constB81)))))),
% 6.65/4.58 inference(modus_ponens,[status(thm)],[184, 183])).
% 6.65/4.58 tff(186,plain,
% 6.65/4.58 (v194(constB81) <=> (~((~v157(constB81)) | (~v195(constB81))))),
% 6.65/4.58 inference(unit_resolution,[status(thm)],[185, 161])).
% 6.65/4.58 tff(187,plain,
% 6.65/4.58 (^[VarCurr: $i] : refl(((~v195(VarCurr)) <=> v196(VarCurr)) <=> ((~v195(VarCurr)) <=> v196(VarCurr)))),
% 6.65/4.58 inference(bind,[status(th)],[])).
% 6.65/4.58 tff(188,plain,
% 6.65/4.58 (![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr)) <=> ![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))),
% 6.65/4.58 inference(quant_intro,[status(thm)],[187])).
% 6.65/4.58 tff(189,plain,
% 6.65/4.58 (![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr)) <=> ![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))),
% 6.65/4.58 inference(rewrite,[status(thm)],[])).
% 6.65/4.58 tff(190,axiom,(![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeUnaryOperator_15')).
% 6.65/4.58 tff(191,plain,
% 6.65/4.58 (![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))),
% 6.65/4.58 inference(modus_ponens,[status(thm)],[190, 189])).
% 6.65/4.58 tff(192,plain,(
% 6.65/4.58 ![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))),
% 6.65/4.58 inference(skolemize,[status(sab)],[191])).
% 6.65/4.58 tff(193,plain,
% 6.65/4.58 (![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))),
% 6.65/4.58 inference(modus_ponens,[status(thm)],[192, 188])).
% 6.65/4.58 tff(194,plain,
% 6.65/4.58 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB81)) <=> v196(constB81))),
% 6.65/4.58 inference(quant_inst,[status(thm)],[])).
% 6.65/4.58 tff(195,plain,
% 6.65/4.58 ((~v195(constB81)) <=> v196(constB81)),
% 6.65/4.58 inference(unit_resolution,[status(thm)],[194, 193])).
% 6.65/4.58 tff(196,plain,
% 6.65/4.58 (^[VarCurr: $i] : refl((v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr))) <=> (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr))))),
% 6.65/4.58 inference(bind,[status(th)],[])).
% 6.65/4.58 tff(197,plain,
% 6.65/4.58 (![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr))) <=> ![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))),
% 6.65/4.58 inference(quant_intro,[status(thm)],[196])).
% 6.65/4.58 tff(198,plain,
% 6.65/4.58 (![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr))) <=> ![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))),
% 6.65/4.58 inference(rewrite,[status(thm)],[])).
% 6.65/4.58 tff(199,axiom,(![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_45')).
% 6.65/4.58 tff(200,plain,
% 6.65/4.58 (![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))),
% 6.65/4.58 inference(modus_ponens,[status(thm)],[199, 198])).
% 6.65/4.58 tff(201,plain,(
% 6.65/4.58 ![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))),
% 6.65/4.58 inference(skolemize,[status(sab)],[200])).
% 6.65/4.58 tff(202,plain,
% 6.65/4.58 (![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))),
% 6.65/4.58 inference(modus_ponens,[status(thm)],[201, 197])).
% 6.65/4.58 tff(203,plain,
% 6.65/4.58 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB81) <=> (v197(constB81) | v26(constB81)))),
% 6.65/4.58 inference(quant_inst,[status(thm)],[])).
% 6.65/4.58 tff(204,plain,
% 6.65/4.58 (v196(constB81) <=> (v197(constB81) | v26(constB81))),
% 6.65/4.58 inference(unit_resolution,[status(thm)],[203, 202])).
% 6.65/4.58 tff(205,plain,
% 6.65/4.58 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB81) <=> (~((~v39(constB81)) | (~v9(constB81)))))),
% 6.65/4.58 inference(quant_inst,[status(thm)],[])).
% 6.65/4.58 tff(206,plain,
% 6.65/4.58 (v197(constB81) <=> (~((~v39(constB81)) | (~v9(constB81))))),
% 6.65/4.58 inference(unit_resolution,[status(thm)],[205, 120])).
% 6.65/4.58 tff(207,plain,
% 6.65/4.58 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr))))),
% 6.65/4.58 inference(bind,[status(th)],[])).
% 6.65/4.58 tff(208,plain,
% 6.65/4.58 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))),
% 6.65/4.58 inference(quant_intro,[status(thm)],[207])).
% 6.65/4.58 tff(209,plain,
% 6.65/4.58 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))),
% 6.65/4.58 inference(rewrite,[status(thm)],[])).
% 6.65/4.58 tff(210,plain,
% 6.65/4.58 (^[VarNext: $i, VarCurr: $i] : rewrite((nextState(VarCurr, VarNext) => (v13(VarNext) <=> v9(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr))))),
% 6.65/4.58 inference(bind,[status(th)],[])).
% 6.65/4.58 tff(211,plain,
% 6.65/4.58 (![VarNext: $i, VarCurr: $i] : (nextState(VarCurr, VarNext) => (v13(VarNext) <=> v9(VarCurr))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))),
% 6.65/4.58 inference(quant_intro,[status(thm)],[210])).
% 6.65/4.58 tff(212,axiom,(![VarNext: $i, VarCurr: $i] : (nextState(VarCurr, VarNext) => (v13(VarNext) <=> v9(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment')).
% 6.65/4.58 tff(213,plain,
% 6.65/4.58 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))),
% 6.65/4.58 inference(modus_ponens,[status(thm)],[212, 211])).
% 6.65/4.58 tff(214,plain,
% 6.65/4.58 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))),
% 6.65/4.58 inference(modus_ponens,[status(thm)],[213, 209])).
% 6.65/4.58 tff(215,plain,(
% 6.65/4.58 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))),
% 6.65/4.58 inference(skolemize,[status(sab)],[214])).
% 6.65/4.58 tff(216,plain,
% 6.65/4.58 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))),
% 6.65/4.58 inference(modus_ponens,[status(thm)],[215, 208])).
% 6.65/4.58 tff(217,plain,
% 6.65/4.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB81, constB82)) | (v13(constB82) <=> v9(constB81)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB81, constB82)) | (v13(constB82) <=> v9(constB81)))),
% 6.65/4.58 inference(rewrite,[status(thm)],[])).
% 6.65/4.58 tff(218,plain,
% 6.65/4.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB81, constB82)) | (v13(constB82) <=> v9(constB81)))),
% 6.65/4.58 inference(quant_inst,[status(thm)],[])).
% 6.65/4.58 tff(219,plain,
% 6.65/4.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB81, constB82)) | (v13(constB82) <=> v9(constB81))),
% 6.65/4.58 inference(modus_ponens,[status(thm)],[218, 217])).
% 6.65/4.58 tff(220,plain,
% 6.65/4.58 (v13(constB82) <=> v9(constB81)),
% 6.65/4.58 inference(unit_resolution,[status(thm)],[219, 173, 216])).
% 6.65/4.58 tff(221,plain,
% 6.65/4.58 (^[VarNext: $i] : refl((v6(VarNext) <=> v13(VarNext)) <=> (v6(VarNext) <=> v13(VarNext)))),
% 6.65/4.58 inference(bind,[status(th)],[])).
% 6.65/4.58 tff(222,plain,
% 6.65/4.58 (![VarNext: $i] : (v6(VarNext) <=> v13(VarNext)) <=> ![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))),
% 6.65/4.58 inference(quant_intro,[status(thm)],[221])).
% 6.65/4.58 tff(223,plain,
% 6.65/4.58 (![VarNext: $i] : (v6(VarNext) <=> v13(VarNext)) <=> ![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))),
% 6.65/4.58 inference(rewrite,[status(thm)],[])).
% 6.65/4.58 tff(224,plain,
% 6.65/4.58 (^[VarNext: $i] : rewrite(($true => (v6(VarNext) <=> v13(VarNext))) <=> (v6(VarNext) <=> v13(VarNext)))),
% 6.65/4.58 inference(bind,[status(th)],[])).
% 6.65/4.58 tff(225,plain,
% 6.65/4.58 (![VarNext: $i] : ($true => (v6(VarNext) <=> v13(VarNext))) <=> ![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))),
% 6.65/4.58 inference(quant_intro,[status(thm)],[224])).
% 6.65/4.58 tff(226,axiom,(![VarNext: $i] : ($true => (v6(VarNext) <=> v13(VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch')).
% 6.65/4.58 tff(227,plain,
% 6.65/4.58 (![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))),
% 6.65/4.58 inference(modus_ponens,[status(thm)],[226, 225])).
% 6.65/4.58 tff(228,plain,
% 6.65/4.58 (![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))),
% 6.65/4.58 inference(modus_ponens,[status(thm)],[227, 223])).
% 6.65/4.58 tff(229,plain,(
% 6.65/4.58 ![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))),
% 6.65/4.58 inference(skolemize,[status(sab)],[228])).
% 6.65/4.58 tff(230,plain,
% 6.65/4.58 (![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))),
% 6.65/4.58 inference(modus_ponens,[status(thm)],[229, 222])).
% 6.65/4.58 tff(231,plain,
% 6.65/4.58 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB82) <=> v13(constB82))),
% 6.65/4.58 inference(quant_inst,[status(thm)],[])).
% 6.65/4.58 tff(232,plain,
% 6.65/4.58 (v6(constB82) <=> v13(constB82)),
% 6.65/4.58 inference(unit_resolution,[status(thm)],[231, 230])).
% 6.65/4.58 tff(233,plain,
% 6.65/4.58 (^[VarCurr: $i] : refl(((~v21(VarCurr)) <=> v6(VarCurr)) <=> ((~v21(VarCurr)) <=> v6(VarCurr)))),
% 6.65/4.58 inference(bind,[status(th)],[])).
% 6.65/4.58 tff(234,plain,
% 6.65/4.58 (![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr)) <=> ![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))),
% 6.65/4.58 inference(quant_intro,[status(thm)],[233])).
% 6.65/4.58 tff(235,plain,
% 6.65/4.58 (![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr)) <=> ![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))),
% 6.65/4.58 inference(rewrite,[status(thm)],[])).
% 6.65/4.58 tff(236,axiom,(![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeUnaryOperator_1')).
% 6.65/4.58 tff(237,plain,
% 6.65/4.58 (![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))),
% 6.65/4.58 inference(modus_ponens,[status(thm)],[236, 235])).
% 6.65/4.58 tff(238,plain,(
% 6.65/4.58 ![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))),
% 6.65/4.58 inference(skolemize,[status(sab)],[237])).
% 6.65/4.58 tff(239,plain,
% 6.65/4.58 (![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))),
% 6.65/4.58 inference(modus_ponens,[status(thm)],[238, 234])).
% 6.65/4.58 tff(240,plain,
% 6.65/4.58 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB82)) <=> v6(constB82))),
% 6.65/4.58 inference(quant_inst,[status(thm)],[])).
% 6.65/4.58 tff(241,plain,
% 6.65/4.58 ((~v21(constB82)) <=> v6(constB82)),
% 6.65/4.58 inference(unit_resolution,[status(thm)],[240, 239])).
% 6.65/4.58 tff(242,plain,
% 6.65/4.58 (^[VarCurr: $i] : refl((v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr))) <=> (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr))))),
% 6.65/4.58 inference(bind,[status(th)],[])).
% 6.65/4.58 tff(243,plain,
% 6.65/4.58 (![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr))) <=> ![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))),
% 6.65/4.58 inference(quant_intro,[status(thm)],[242])).
% 6.65/4.58 tff(244,plain,
% 6.65/4.58 (![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr))) <=> ![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))),
% 6.65/4.58 inference(rewrite,[status(thm)],[])).
% 6.65/4.58 tff(245,axiom,(![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges')).
% 6.65/4.58 tff(246,plain,
% 6.65/4.58 (![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))),
% 6.65/4.58 inference(modus_ponens,[status(thm)],[245, 244])).
% 6.65/4.58 tff(247,plain,(
% 6.65/4.58 ![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))),
% 6.65/4.58 inference(skolemize,[status(sab)],[246])).
% 6.65/4.58 tff(248,plain,
% 6.65/4.58 (![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))),
% 6.65/4.58 inference(modus_ponens,[status(thm)],[247, 243])).
% 6.65/4.58 tff(249,plain,
% 6.65/4.58 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB82) <=> (v20(constB82) | v21(constB82)))),
% 6.65/4.58 inference(quant_inst,[status(thm)],[])).
% 6.65/4.58 tff(250,plain,
% 6.65/4.58 (v19(constB82) <=> (v20(constB82) | v21(constB82))),
% 6.65/4.58 inference(unit_resolution,[status(thm)],[249, 248])).
% 6.65/4.58 tff(251,plain,
% 6.65/4.58 (^[VarCurr: $i] : refl((v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr))))) <=> (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr))))))),
% 6.65/4.58 inference(bind,[status(th)],[])).
% 6.65/4.58 tff(252,plain,
% 6.65/4.58 (![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr))))) <=> ![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))),
% 6.65/4.58 inference(quant_intro,[status(thm)],[251])).
% 6.65/4.58 tff(253,plain,
% 6.65/4.58 (^[VarCurr: $i] : rewrite((v18(VarCurr) <=> (v19(VarCurr) & v22(VarCurr))) <=> (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr))))))),
% 6.65/4.58 inference(bind,[status(th)],[])).
% 6.65/4.58 tff(254,plain,
% 6.65/4.58 (![VarCurr: $i] : (v18(VarCurr) <=> (v19(VarCurr) & v22(VarCurr))) <=> ![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))),
% 6.65/4.58 inference(quant_intro,[status(thm)],[253])).
% 6.65/4.58 tff(255,plain,
% 6.65/4.58 (![VarCurr: $i] : (v18(VarCurr) <=> (v19(VarCurr) & v22(VarCurr))) <=> ![VarCurr: $i] : (v18(VarCurr) <=> (v19(VarCurr) & v22(VarCurr)))),
% 6.65/4.58 inference(rewrite,[status(thm)],[])).
% 6.65/4.58 tff(256,axiom,(![VarCurr: $i] : (v18(VarCurr) <=> (v19(VarCurr) & v22(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_2')).
% 6.65/4.58 tff(257,plain,
% 6.65/4.58 (![VarCurr: $i] : (v18(VarCurr) <=> (v19(VarCurr) & v22(VarCurr)))),
% 6.65/4.58 inference(modus_ponens,[status(thm)],[256, 255])).
% 6.65/4.58 tff(258,plain,(
% 6.65/4.58 ![VarCurr: $i] : (v18(VarCurr) <=> (v19(VarCurr) & v22(VarCurr)))),
% 6.65/4.58 inference(skolemize,[status(sab)],[257])).
% 6.65/4.58 tff(259,plain,
% 6.65/4.58 (![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))),
% 6.65/4.58 inference(modus_ponens,[status(thm)],[258, 254])).
% 6.65/4.58 tff(260,plain,
% 6.65/4.58 (![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))),
% 6.65/4.58 inference(modus_ponens,[status(thm)],[259, 252])).
% 6.65/4.58 tff(261,plain,
% 6.65/4.58 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB82) <=> (~((~v19(constB82)) | (~v22(constB82)))))),
% 6.65/4.58 inference(quant_inst,[status(thm)],[])).
% 6.65/4.58 tff(262,plain,
% 6.65/4.58 (v18(constB82) <=> (~((~v19(constB82)) | (~v22(constB82))))),
% 6.65/4.58 inference(unit_resolution,[status(thm)],[261, 260])).
% 6.65/4.58 tff(263,plain,
% 6.65/4.58 (^[VarCurr: $i] : refl(((~v4(VarCurr)) <=> v18(VarCurr)) <=> ((~v4(VarCurr)) <=> v18(VarCurr)))),
% 6.65/4.58 inference(bind,[status(th)],[])).
% 6.65/4.58 tff(264,plain,
% 6.65/4.58 (![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr)) <=> ![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))),
% 6.65/4.58 inference(quant_intro,[status(thm)],[263])).
% 6.65/4.58 tff(265,plain,
% 6.65/4.58 (![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr)) <=> ![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))),
% 6.65/4.58 inference(rewrite,[status(thm)],[])).
% 6.65/4.58 tff(266,axiom,(![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeUnaryOperator_2')).
% 6.65/4.58 tff(267,plain,
% 6.65/4.58 (![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))),
% 6.65/4.58 inference(modus_ponens,[status(thm)],[266, 265])).
% 6.65/4.58 tff(268,plain,(
% 6.65/4.58 ![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))),
% 6.65/4.58 inference(skolemize,[status(sab)],[267])).
% 6.65/4.58 tff(269,plain,
% 6.65/4.58 (![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))),
% 6.65/4.58 inference(modus_ponens,[status(thm)],[268, 264])).
% 6.65/4.58 tff(270,plain,
% 6.65/4.58 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB82)) <=> v18(constB82))),
% 6.65/4.58 inference(quant_inst,[status(thm)],[])).
% 6.65/4.58 tff(271,plain,
% 6.65/4.58 ((~v4(constB82)) <=> v18(constB82)),
% 6.65/4.58 inference(unit_resolution,[status(thm)],[270, 269])).
% 6.65/4.58 tff(272,plain,
% 6.65/4.58 (^[VarCurr: $i] : refl(v4(VarCurr) <=> v4(VarCurr))),
% 6.65/4.58 inference(bind,[status(th)],[])).
% 6.65/4.58 tff(273,plain,
% 6.65/4.58 (![VarCurr: $i] : v4(VarCurr) <=> ![VarCurr: $i] : v4(VarCurr)),
% 6.65/4.58 inference(quant_intro,[status(thm)],[272])).
% 6.65/4.58 tff(274,plain,
% 6.65/4.58 (![VarCurr: $i] : v4(VarCurr) <=> ![VarCurr: $i] : v4(VarCurr)),
% 6.65/4.58 inference(rewrite,[status(thm)],[])).
% 6.65/4.58 tff(275,axiom,(![VarCurr: $i] : v4(VarCurr)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addGlobalAssumption')).
% 6.65/4.58 tff(276,plain,
% 6.65/4.58 (![VarCurr: $i] : v4(VarCurr)),
% 6.65/4.58 inference(modus_ponens,[status(thm)],[275, 274])).
% 6.65/4.58 tff(277,plain,(
% 6.65/4.58 ![VarCurr: $i] : v4(VarCurr)),
% 6.65/4.58 inference(skolemize,[status(sab)],[276])).
% 6.65/4.58 tff(278,plain,
% 6.65/4.58 (![VarCurr: $i] : v4(VarCurr)),
% 6.65/4.58 inference(modus_ponens,[status(thm)],[277, 273])).
% 6.65/4.58 tff(279,plain,
% 6.65/4.58 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB82)),
% 6.65/4.58 inference(quant_inst,[status(thm)],[])).
% 6.65/4.58 tff(280,plain,
% 6.65/4.58 (v4(constB82)),
% 6.65/4.58 inference(unit_resolution,[status(thm)],[279, 278])).
% 6.65/4.58 tff(281,plain,
% 6.65/4.58 ((~((~v4(constB82)) <=> v18(constB82))) | (~v4(constB82)) | (~v18(constB82))),
% 6.65/4.58 inference(tautology,[status(thm)],[])).
% 6.65/4.58 tff(282,plain,
% 6.65/4.58 (~v18(constB82)),
% 6.65/4.58 inference(unit_resolution,[status(thm)],[281, 280, 271])).
% 6.65/4.58 tff(283,plain,
% 6.65/4.58 ((~(v18(constB82) <=> (~((~v19(constB82)) | (~v22(constB82)))))) | v18(constB82) | ((~v19(constB82)) | (~v22(constB82)))),
% 6.65/4.58 inference(tautology,[status(thm)],[])).
% 6.65/4.58 tff(284,plain,
% 6.65/4.58 ((~v19(constB82)) | (~v22(constB82))),
% 6.65/4.58 inference(unit_resolution,[status(thm)],[283, 282, 262])).
% 6.65/4.58 tff(285,plain,
% 6.65/4.58 (^[VarCurr: $i] : refl((v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr))) <=> (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr))))),
% 6.65/4.58 inference(bind,[status(th)],[])).
% 6.65/4.58 tff(286,plain,
% 6.65/4.58 (![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr))) <=> ![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))),
% 6.65/4.58 inference(quant_intro,[status(thm)],[285])).
% 6.65/4.58 tff(287,plain,
% 6.65/4.58 (![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr))) <=> ![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))),
% 6.65/4.58 inference(rewrite,[status(thm)],[])).
% 6.65/4.58 tff(288,axiom,(![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_1')).
% 6.65/4.58 tff(289,plain,
% 6.65/4.58 (![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))),
% 6.65/4.58 inference(modus_ponens,[status(thm)],[288, 287])).
% 6.65/4.58 tff(290,plain,(
% 6.65/4.58 ![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))),
% 6.65/4.58 inference(skolemize,[status(sab)],[289])).
% 6.65/4.58 tff(291,plain,
% 6.65/4.58 (![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))),
% 6.65/4.58 inference(modus_ponens,[status(thm)],[290, 286])).
% 6.65/4.58 tff(292,plain,
% 6.65/4.58 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB82) <=> (v1(constB82) | v6(constB82)))),
% 6.65/4.58 inference(quant_inst,[status(thm)],[])).
% 6.65/4.58 tff(293,plain,
% 6.65/4.58 (v22(constB82) <=> (v1(constB82) | v6(constB82))),
% 6.65/4.58 inference(unit_resolution,[status(thm)],[292, 291])).
% 6.65/4.58 tff(294,plain,
% 6.65/4.58 ((v1(constB82) | v6(constB82)) | (~v1(constB82))),
% 6.65/4.58 inference(tautology,[status(thm)],[])).
% 6.65/4.58 tff(295,plain,
% 6.65/4.58 (v1(constB82) | v6(constB82)),
% 6.65/4.58 inference(unit_resolution,[status(thm)],[294, 134])).
% 6.65/4.58 tff(296,plain,
% 6.65/4.58 ((~(v22(constB82) <=> (v1(constB82) | v6(constB82)))) | v22(constB82) | (~(v1(constB82) | v6(constB82)))),
% 6.65/4.58 inference(tautology,[status(thm)],[])).
% 6.65/4.58 tff(297,plain,
% 6.65/4.58 ((~(v22(constB82) <=> (v1(constB82) | v6(constB82)))) | v22(constB82)),
% 6.65/4.58 inference(unit_resolution,[status(thm)],[296, 295])).
% 6.65/4.58 tff(298,plain,
% 6.65/4.58 (v22(constB82)),
% 6.65/4.58 inference(unit_resolution,[status(thm)],[297, 293])).
% 6.65/4.58 tff(299,plain,
% 6.65/4.58 ((~((~v19(constB82)) | (~v22(constB82)))) | (~v19(constB82)) | (~v22(constB82))),
% 6.65/4.58 inference(tautology,[status(thm)],[])).
% 6.65/4.58 tff(300,plain,
% 6.65/4.58 ((~((~v19(constB82)) | (~v22(constB82)))) | (~v19(constB82))),
% 6.65/4.58 inference(unit_resolution,[status(thm)],[299, 298])).
% 6.65/4.58 tff(301,plain,
% 6.65/4.58 (~v19(constB82)),
% 6.65/4.58 inference(unit_resolution,[status(thm)],[300, 284])).
% 6.65/4.58 tff(302,plain,
% 6.65/4.58 ((~(v19(constB82) <=> (v20(constB82) | v21(constB82)))) | v19(constB82) | (~(v20(constB82) | v21(constB82)))),
% 6.65/4.58 inference(tautology,[status(thm)],[])).
% 6.65/4.58 tff(303,plain,
% 6.65/4.58 (~(v20(constB82) | v21(constB82))),
% 6.65/4.58 inference(unit_resolution,[status(thm)],[302, 301, 250])).
% 6.65/4.58 tff(304,plain,
% 6.65/4.58 ((v20(constB82) | v21(constB82)) | (~v21(constB82))),
% 6.65/4.58 inference(tautology,[status(thm)],[])).
% 6.65/4.58 tff(305,plain,
% 6.65/4.58 (~v21(constB82)),
% 6.65/4.58 inference(unit_resolution,[status(thm)],[304, 303])).
% 6.65/4.58 tff(306,plain,
% 6.65/4.58 ((~((~v21(constB82)) <=> v6(constB82))) | v21(constB82) | v6(constB82)),
% 6.65/4.58 inference(tautology,[status(thm)],[])).
% 6.65/4.58 tff(307,plain,
% 6.65/4.58 (v6(constB82)),
% 6.65/4.58 inference(unit_resolution,[status(thm)],[306, 305, 241])).
% 6.65/4.58 tff(308,plain,
% 6.65/4.58 ((~(v6(constB82) <=> v13(constB82))) | (~v6(constB82)) | v13(constB82)),
% 6.65/4.58 inference(tautology,[status(thm)],[])).
% 6.65/4.58 tff(309,plain,
% 6.65/4.58 (v13(constB82)),
% 6.65/4.58 inference(unit_resolution,[status(thm)],[308, 307, 232])).
% 6.65/4.58 tff(310,plain,
% 6.65/4.58 ((~(v13(constB82) <=> v9(constB81))) | (~v13(constB82)) | v9(constB81)),
% 6.65/4.58 inference(tautology,[status(thm)],[])).
% 6.65/4.58 tff(311,plain,
% 6.65/4.58 (v9(constB81)),
% 6.65/4.58 inference(unit_resolution,[status(thm)],[310, 309, 220])).
% 6.65/4.58 tff(312,plain,
% 6.65/4.58 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB81)) <=> v1(constB81))),
% 6.65/4.58 inference(quant_inst,[status(thm)],[])).
% 6.65/4.58 tff(313,plain,
% 6.65/4.58 ((~v39(constB81)) <=> v1(constB81)),
% 6.65/4.58 inference(unit_resolution,[status(thm)],[312, 129])).
% 6.65/4.58 tff(314,plain,
% 6.65/4.58 ((~v1(constB81)) <=> (~v1(constB81))),
% 6.65/4.58 inference(rewrite,[status(thm)],[])).
% 6.65/4.58 tff(315,axiom,(~v1(constB81)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_81')).
% 6.65/4.58 tff(316,plain,
% 6.65/4.58 (~v1(constB81)),
% 6.65/4.58 inference(modus_ponens,[status(thm)],[315, 314])).
% 6.65/4.58 tff(317,plain,
% 6.65/4.58 ((~((~v39(constB81)) <=> v1(constB81))) | v39(constB81) | v1(constB81)),
% 6.65/4.58 inference(tautology,[status(thm)],[])).
% 6.65/4.58 tff(318,plain,
% 6.65/4.58 ((~((~v39(constB81)) <=> v1(constB81))) | v39(constB81)),
% 6.65/4.58 inference(unit_resolution,[status(thm)],[317, 316])).
% 6.65/4.58 tff(319,plain,
% 6.65/4.58 (v39(constB81)),
% 6.65/4.58 inference(unit_resolution,[status(thm)],[318, 313])).
% 6.65/4.58 tff(320,plain,
% 6.65/4.58 ((~((~v39(constB81)) | (~v9(constB81)))) | (~v39(constB81)) | (~v9(constB81))),
% 6.65/4.58 inference(tautology,[status(thm)],[])).
% 6.65/4.58 tff(321,plain,
% 6.65/4.58 ((~((~v39(constB81)) | (~v9(constB81)))) | (~v9(constB81))),
% 6.65/4.58 inference(unit_resolution,[status(thm)],[320, 319])).
% 6.65/4.58 tff(322,plain,
% 6.65/4.58 (~((~v39(constB81)) | (~v9(constB81)))),
% 6.65/4.58 inference(unit_resolution,[status(thm)],[321, 311])).
% 6.65/4.58 tff(323,plain,
% 6.65/4.58 ((~(v197(constB81) <=> (~((~v39(constB81)) | (~v9(constB81)))))) | v197(constB81) | ((~v39(constB81)) | (~v9(constB81)))),
% 6.65/4.58 inference(tautology,[status(thm)],[])).
% 6.65/4.58 tff(324,plain,
% 6.65/4.58 (v197(constB81)),
% 6.65/4.58 inference(unit_resolution,[status(thm)],[323, 322, 206])).
% 6.65/4.58 tff(325,plain,
% 6.65/4.58 ((v197(constB81) | v26(constB81)) | (~v197(constB81))),
% 6.65/4.58 inference(tautology,[status(thm)],[])).
% 6.65/4.58 tff(326,plain,
% 6.65/4.58 (v197(constB81) | v26(constB81)),
% 6.65/4.58 inference(unit_resolution,[status(thm)],[325, 324])).
% 6.65/4.58 tff(327,plain,
% 6.65/4.58 ((~(v196(constB81) <=> (v197(constB81) | v26(constB81)))) | v196(constB81) | (~(v197(constB81) | v26(constB81)))),
% 6.65/4.58 inference(tautology,[status(thm)],[])).
% 6.65/4.58 tff(328,plain,
% 6.65/4.58 (v196(constB81)),
% 6.65/4.58 inference(unit_resolution,[status(thm)],[327, 326, 204])).
% 6.65/4.58 tff(329,plain,
% 6.65/4.58 ((~((~v195(constB81)) <=> v196(constB81))) | (~v195(constB81)) | (~v196(constB81))),
% 6.65/4.58 inference(tautology,[status(thm)],[])).
% 6.65/4.58 tff(330,plain,
% 6.65/4.58 (~v195(constB81)),
% 6.65/4.58 inference(unit_resolution,[status(thm)],[329, 328, 195])).
% 6.65/4.58 tff(331,plain,
% 6.65/4.58 (((~v157(constB81)) | (~v195(constB81))) | v195(constB81)),
% 6.65/4.58 inference(tautology,[status(thm)],[])).
% 6.65/4.58 tff(332,plain,
% 6.65/4.58 ((~v157(constB81)) | (~v195(constB81))),
% 6.65/4.58 inference(unit_resolution,[status(thm)],[331, 330])).
% 6.65/4.58 tff(333,plain,
% 6.65/4.58 ((~(v194(constB81) <=> (~((~v157(constB81)) | (~v195(constB81)))))) | (~v194(constB81)) | (~((~v157(constB81)) | (~v195(constB81))))),
% 6.65/4.58 inference(tautology,[status(thm)],[])).
% 6.65/4.58 tff(334,plain,
% 6.65/4.58 (~v194(constB81)),
% 6.65/4.58 inference(unit_resolution,[status(thm)],[333, 332, 186])).
% 6.65/4.58 tff(335,plain,
% 6.65/4.58 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB81) <=> (~((~v199(constB81)) | (~v200(constB81)))))),
% 6.65/4.58 inference(quant_inst,[status(thm)],[])).
% 6.65/4.58 tff(336,plain,
% 6.65/4.58 (v198(constB81) <=> (~((~v199(constB81)) | (~v200(constB81))))),
% 6.65/4.58 inference(unit_resolution,[status(thm)],[335, 96])).
% 6.65/4.58 tff(337,plain,
% 6.65/4.58 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB81) <=> (~((~v197(constB81)) | (~v201(constB81)))))),
% 6.65/4.58 inference(quant_inst,[status(thm)],[])).
% 6.65/4.58 tff(338,plain,
% 6.65/4.58 (v200(constB81) <=> (~((~v197(constB81)) | (~v201(constB81))))),
% 6.65/4.58 inference(unit_resolution,[status(thm)],[337, 108])).
% 6.65/4.58 tff(339,plain,
% 6.65/4.58 (^[VarCurr: $i] : refl((v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr))))) <=> (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr))))))),
% 6.65/4.58 inference(bind,[status(th)],[])).
% 6.65/4.58 tff(340,plain,
% 6.65/4.58 (![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr))))) <=> ![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))),
% 6.65/4.58 inference(quant_intro,[status(thm)],[339])).
% 6.65/4.58 tff(341,plain,
% 6.65/4.58 (^[VarCurr: $i] : rewrite((v201(VarCurr) <=> (v159(VarCurr) & v161(VarCurr))) <=> (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr))))))),
% 6.65/4.58 inference(bind,[status(th)],[])).
% 6.65/4.58 tff(342,plain,
% 6.65/4.58 (![VarCurr: $i] : (v201(VarCurr) <=> (v159(VarCurr) & v161(VarCurr))) <=> ![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))),
% 6.65/4.58 inference(quant_intro,[status(thm)],[341])).
% 6.65/4.58 tff(343,plain,
% 6.65/4.58 (![VarCurr: $i] : (v201(VarCurr) <=> (v159(VarCurr) & v161(VarCurr))) <=> ![VarCurr: $i] : (v201(VarCurr) <=> (v159(VarCurr) & v161(VarCurr)))),
% 6.65/4.58 inference(rewrite,[status(thm)],[])).
% 6.65/4.58 tff(344,axiom,(![VarCurr: $i] : (v201(VarCurr) <=> (v159(VarCurr) & v161(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_47')).
% 6.65/4.58 tff(345,plain,
% 6.65/4.58 (![VarCurr: $i] : (v201(VarCurr) <=> (v159(VarCurr) & v161(VarCurr)))),
% 6.65/4.58 inference(modus_ponens,[status(thm)],[344, 343])).
% 6.65/4.58 tff(346,plain,(
% 6.65/4.58 ![VarCurr: $i] : (v201(VarCurr) <=> (v159(VarCurr) & v161(VarCurr)))),
% 6.65/4.58 inference(skolemize,[status(sab)],[345])).
% 6.65/4.58 tff(347,plain,
% 6.65/4.58 (![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))),
% 6.65/4.58 inference(modus_ponens,[status(thm)],[346, 342])).
% 6.65/4.58 tff(348,plain,
% 6.65/4.58 (![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))),
% 6.65/4.58 inference(modus_ponens,[status(thm)],[347, 340])).
% 6.65/4.58 tff(349,plain,
% 6.65/4.58 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB81) <=> (~((~v159(constB81)) | (~v161(constB81)))))),
% 6.65/4.58 inference(quant_inst,[status(thm)],[])).
% 6.65/4.58 tff(350,plain,
% 6.65/4.58 (v201(constB81) <=> (~((~v159(constB81)) | (~v161(constB81))))),
% 6.65/4.58 inference(unit_resolution,[status(thm)],[349, 348])).
% 6.65/4.58 tff(351,plain,
% 6.65/4.58 (^[VarCurr: $i] : refl((v161(VarCurr) <=> v163(VarCurr)) <=> (v161(VarCurr) <=> v163(VarCurr)))),
% 6.65/4.58 inference(bind,[status(th)],[])).
% 6.65/4.58 tff(352,plain,
% 6.65/4.58 (![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr)) <=> ![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))),
% 6.65/4.58 inference(quant_intro,[status(thm)],[351])).
% 6.65/4.58 tff(353,plain,
% 6.65/4.58 (![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr)) <=> ![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))),
% 6.65/4.58 inference(rewrite,[status(thm)],[])).
% 6.65/4.58 tff(354,axiom,(![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_10')).
% 6.65/4.58 tff(355,plain,
% 6.65/4.58 (![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))),
% 6.65/4.58 inference(modus_ponens,[status(thm)],[354, 353])).
% 6.65/4.58 tff(356,plain,(
% 6.65/4.58 ![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))),
% 6.65/4.58 inference(skolemize,[status(sab)],[355])).
% 6.65/4.58 tff(357,plain,
% 6.65/4.58 (![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))),
% 6.65/4.58 inference(modus_ponens,[status(thm)],[356, 352])).
% 6.65/4.58 tff(358,plain,
% 6.65/4.58 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB81) <=> v163(constB81))),
% 6.65/4.58 inference(quant_inst,[status(thm)],[])).
% 6.65/4.58 tff(359,plain,
% 6.65/4.58 (v161(constB81) <=> v163(constB81)),
% 6.65/4.58 inference(unit_resolution,[status(thm)],[358, 357])).
% 6.65/4.58 tff(360,plain,
% 6.65/4.58 (^[VarCurr: $i] : refl((v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr))) <=> (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr))))),
% 6.65/4.58 inference(bind,[status(th)],[])).
% 6.65/4.58 tff(361,plain,
% 6.65/4.58 (![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr))) <=> ![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))),
% 6.65/4.58 inference(quant_intro,[status(thm)],[360])).
% 6.65/4.58 tff(362,plain,
% 6.65/4.58 (![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr))) <=> ![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))),
% 6.65/4.58 inference(rewrite,[status(thm)],[])).
% 6.65/4.58 tff(363,plain,
% 6.65/4.58 (^[VarCurr: $i] : rewrite((v166(VarCurr) <=> (v167(VarCurr) | v145(VarCurr))) <=> (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr))))),
% 6.65/4.58 inference(bind,[status(th)],[])).
% 6.65/4.58 tff(364,plain,
% 6.65/4.58 (![VarCurr: $i] : (v166(VarCurr) <=> (v167(VarCurr) | v145(VarCurr))) <=> ![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))),
% 6.65/4.58 inference(quant_intro,[status(thm)],[363])).
% 6.65/4.58 tff(365,axiom,(![VarCurr: $i] : (v166(VarCurr) <=> (v167(VarCurr) | v145(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_39')).
% 6.65/4.58 tff(366,plain,
% 6.65/4.58 (![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))),
% 6.65/4.58 inference(modus_ponens,[status(thm)],[365, 364])).
% 6.65/4.58 tff(367,plain,
% 6.65/4.58 (![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))),
% 6.65/4.58 inference(modus_ponens,[status(thm)],[366, 362])).
% 6.65/4.58 tff(368,plain,(
% 6.65/4.58 ![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))),
% 6.65/4.58 inference(skolemize,[status(sab)],[367])).
% 6.65/4.58 tff(369,plain,
% 6.65/4.58 (![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))),
% 6.65/4.58 inference(modus_ponens,[status(thm)],[368, 361])).
% 6.65/4.58 tff(370,plain,
% 6.65/4.58 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB81) <=> (v145(constB81) | v167(constB81)))),
% 6.65/4.58 inference(quant_inst,[status(thm)],[])).
% 6.65/4.58 tff(371,plain,
% 6.65/4.58 (v166(constB81) <=> (v145(constB81) | v167(constB81))),
% 6.65/4.58 inference(unit_resolution,[status(thm)],[370, 369])).
% 6.65/4.58 tff(372,plain,
% 6.65/4.58 (^[VarCurr: $i] : refl((v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr))) <=> (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr))))),
% 6.65/4.58 inference(bind,[status(th)],[])).
% 6.65/4.58 tff(373,plain,
% 6.65/4.58 (![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr))) <=> ![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))),
% 6.65/4.58 inference(quant_intro,[status(thm)],[372])).
% 6.65/4.58 tff(374,plain,
% 6.65/4.58 (![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr))) <=> ![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))),
% 6.65/4.58 inference(rewrite,[status(thm)],[])).
% 6.65/4.58 tff(375,plain,
% 6.65/4.58 (^[VarCurr: $i] : rewrite((v167(VarCurr) <=> (v168(VarCurr) | v142(VarCurr))) <=> (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr))))),
% 6.65/4.58 inference(bind,[status(th)],[])).
% 6.65/4.58 tff(376,plain,
% 6.65/4.58 (![VarCurr: $i] : (v167(VarCurr) <=> (v168(VarCurr) | v142(VarCurr))) <=> ![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))),
% 6.65/4.58 inference(quant_intro,[status(thm)],[375])).
% 6.65/4.58 tff(377,axiom,(![VarCurr: $i] : (v167(VarCurr) <=> (v168(VarCurr) | v142(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_38')).
% 6.65/4.58 tff(378,plain,
% 6.65/4.58 (![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))),
% 6.65/4.58 inference(modus_ponens,[status(thm)],[377, 376])).
% 6.65/4.58 tff(379,plain,
% 6.65/4.58 (![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))),
% 6.65/4.58 inference(modus_ponens,[status(thm)],[378, 374])).
% 6.65/4.58 tff(380,plain,(
% 6.65/4.58 ![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))),
% 6.65/4.58 inference(skolemize,[status(sab)],[379])).
% 6.65/4.58 tff(381,plain,
% 6.65/4.58 (![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))),
% 6.65/4.58 inference(modus_ponens,[status(thm)],[380, 373])).
% 6.65/4.58 tff(382,plain,
% 6.65/4.58 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB81) <=> (v142(constB81) | v168(constB81)))),
% 6.65/4.58 inference(quant_inst,[status(thm)],[])).
% 6.65/4.58 tff(383,plain,
% 6.65/4.58 (v167(constB81) <=> (v142(constB81) | v168(constB81))),
% 6.65/4.58 inference(unit_resolution,[status(thm)],[382, 381])).
% 6.65/4.58 tff(384,plain,
% 6.65/4.58 (^[VarCurr: $i] : refl((v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr))) <=> (v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr))))),
% 6.65/4.58 inference(bind,[status(th)],[])).
% 6.65/4.58 tff(385,plain,
% 6.65/4.58 (![VarCurr: $i] : (v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr))) <=> ![VarCurr: $i] : (v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr)))),
% 6.65/4.58 inference(quant_intro,[status(thm)],[384])).
% 6.65/4.58 tff(386,plain,
% 6.65/4.58 (![VarCurr: $i] : (v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr))) <=> ![VarCurr: $i] : (v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr)))),
% 6.65/4.58 inference(rewrite,[status(thm)],[])).
% 6.65/4.58 tff(387,plain,
% 6.65/4.58 (^[VarCurr: $i] : rewrite((v168(VarCurr) <=> (v169(VarCurr) | v141(VarCurr))) <=> (v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr))))),
% 6.65/4.58 inference(bind,[status(th)],[])).
% 6.65/4.58 tff(388,plain,
% 6.65/4.58 (![VarCurr: $i] : (v168(VarCurr) <=> (v169(VarCurr) | v141(VarCurr))) <=> ![VarCurr: $i] : (v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr)))),
% 6.65/4.58 inference(quant_intro,[status(thm)],[387])).
% 6.65/4.58 tff(389,axiom,(![VarCurr: $i] : (v168(VarCurr) <=> (v169(VarCurr) | v141(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_37')).
% 6.65/4.58 tff(390,plain,
% 6.65/4.58 (![VarCurr: $i] : (v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr)))),
% 6.65/4.58 inference(modus_ponens,[status(thm)],[389, 388])).
% 6.65/4.58 tff(391,plain,
% 6.65/4.58 (![VarCurr: $i] : (v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr)))),
% 6.65/4.58 inference(modus_ponens,[status(thm)],[390, 386])).
% 6.65/4.58 tff(392,plain,(
% 6.65/4.58 ![VarCurr: $i] : (v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr)))),
% 6.65/4.58 inference(skolemize,[status(sab)],[391])).
% 6.65/4.58 tff(393,plain,
% 6.65/4.58 (![VarCurr: $i] : (v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr)))),
% 6.65/4.58 inference(modus_ponens,[status(thm)],[392, 385])).
% 6.65/4.58 tff(394,plain,
% 6.65/4.58 ((~![VarCurr: $i] : (v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr)))) | (v168(constB81) <=> (v141(constB81) | v169(constB81)))),
% 6.65/4.58 inference(quant_inst,[status(thm)],[])).
% 6.65/4.58 tff(395,plain,
% 6.65/4.58 (v168(constB81) <=> (v141(constB81) | v169(constB81))),
% 6.65/4.58 inference(unit_resolution,[status(thm)],[394, 393])).
% 6.65/4.58 tff(396,plain,
% 6.65/4.58 (^[VarCurr: $i] : refl((v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0))))) <=> (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0))))))),
% 6.65/4.58 inference(bind,[status(th)],[])).
% 6.65/4.58 tff(397,plain,
% 6.65/4.58 (![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0))))) <=> ![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))),
% 6.65/4.58 inference(quant_intro,[status(thm)],[396])).
% 6.65/4.58 tff(398,plain,
% 6.65/4.58 (^[VarCurr: $i] : rewrite((v141(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & v88(VarCurr, bitIndex1) & v88(VarCurr, bitIndex0))) <=> (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0))))))),
% 6.65/4.58 inference(bind,[status(th)],[])).
% 6.65/4.58 tff(399,plain,
% 6.65/4.58 (![VarCurr: $i] : (v141(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & v88(VarCurr, bitIndex1) & v88(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))),
% 6.65/4.58 inference(quant_intro,[status(thm)],[398])).
% 6.65/4.58 tff(400,plain,
% 6.65/4.58 (![VarCurr: $i] : (v141(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & v88(VarCurr, bitIndex1) & v88(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : (v141(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & v88(VarCurr, bitIndex1) & v88(VarCurr, bitIndex0)))),
% 6.65/4.58 inference(rewrite,[status(thm)],[])).
% 6.65/4.58 tff(401,plain,
% 6.65/4.58 (^[VarCurr: $i] : rewrite((v141(VarCurr) <=> (((v88(VarCurr, bitIndex2) <=> $false) & (v88(VarCurr, bitIndex1) <=> $true)) & (v88(VarCurr, bitIndex0) <=> $true))) <=> (v141(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & v88(VarCurr, bitIndex1) & v88(VarCurr, bitIndex0))))),
% 6.65/4.58 inference(bind,[status(th)],[])).
% 6.65/4.58 tff(402,plain,
% 6.65/4.58 (![VarCurr: $i] : (v141(VarCurr) <=> (((v88(VarCurr, bitIndex2) <=> $false) & (v88(VarCurr, bitIndex1) <=> $true)) & (v88(VarCurr, bitIndex0) <=> $true))) <=> ![VarCurr: $i] : (v141(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & v88(VarCurr, bitIndex1) & v88(VarCurr, bitIndex0)))),
% 6.65/4.58 inference(quant_intro,[status(thm)],[401])).
% 6.65/4.58 tff(403,axiom,(![VarCurr: $i] : (v141(VarCurr) <=> (((v88(VarCurr, bitIndex2) <=> $false) & (v88(VarCurr, bitIndex1) <=> $true)) & (v88(VarCurr, bitIndex0) <=> $true)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_11')).
% 6.65/4.58 tff(404,plain,
% 6.65/4.58 (![VarCurr: $i] : (v141(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & v88(VarCurr, bitIndex1) & v88(VarCurr, bitIndex0)))),
% 6.65/4.58 inference(modus_ponens,[status(thm)],[403, 402])).
% 6.65/4.58 tff(405,plain,
% 6.65/4.58 (![VarCurr: $i] : (v141(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & v88(VarCurr, bitIndex1) & v88(VarCurr, bitIndex0)))),
% 6.65/4.58 inference(modus_ponens,[status(thm)],[404, 400])).
% 6.65/4.58 tff(406,plain,(
% 6.65/4.58 ![VarCurr: $i] : (v141(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & v88(VarCurr, bitIndex1) & v88(VarCurr, bitIndex0)))),
% 6.65/4.58 inference(skolemize,[status(sab)],[405])).
% 6.65/4.58 tff(407,plain,
% 6.65/4.58 (![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))),
% 6.65/4.58 inference(modus_ponens,[status(thm)],[406, 399])).
% 6.65/4.58 tff(408,plain,
% 6.65/4.58 (![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))),
% 6.65/4.58 inference(modus_ponens,[status(thm)],[407, 397])).
% 6.65/4.58 tff(409,plain,
% 6.65/4.58 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB81) <=> (~((~v88(constB81, bitIndex1)) | v88(constB81, bitIndex2) | (~v88(constB81, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB81) <=> (~((~v88(constB81, bitIndex1)) | v88(constB81, bitIndex2) | (~v88(constB81, bitIndex0))))))),
% 6.65/4.58 inference(rewrite,[status(thm)],[])).
% 6.65/4.58 tff(410,plain,
% 6.65/4.58 ((v141(constB81) <=> (~(v88(constB81, bitIndex2) | (~v88(constB81, bitIndex1)) | (~v88(constB81, bitIndex0))))) <=> (v141(constB81) <=> (~((~v88(constB81, bitIndex1)) | v88(constB81, bitIndex2) | (~v88(constB81, bitIndex0)))))),
% 6.65/4.58 inference(rewrite,[status(thm)],[])).
% 6.65/4.58 tff(411,plain,
% 6.65/4.58 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB81) <=> (~(v88(constB81, bitIndex2) | (~v88(constB81, bitIndex1)) | (~v88(constB81, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB81) <=> (~((~v88(constB81, bitIndex1)) | v88(constB81, bitIndex2) | (~v88(constB81, bitIndex0))))))),
% 6.65/4.58 inference(monotonicity,[status(thm)],[410])).
% 6.65/4.58 tff(412,plain,
% 6.65/4.58 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB81) <=> (~(v88(constB81, bitIndex2) | (~v88(constB81, bitIndex1)) | (~v88(constB81, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB81) <=> (~((~v88(constB81, bitIndex1)) | v88(constB81, bitIndex2) | (~v88(constB81, bitIndex0))))))),
% 6.65/4.58 inference(transitivity,[status(thm)],[411, 409])).
% 6.65/4.58 tff(413,plain,
% 6.65/4.58 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB81) <=> (~(v88(constB81, bitIndex2) | (~v88(constB81, bitIndex1)) | (~v88(constB81, bitIndex0)))))),
% 6.65/4.58 inference(quant_inst,[status(thm)],[])).
% 6.65/4.58 tff(414,plain,
% 6.65/4.58 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB81) <=> (~((~v88(constB81, bitIndex1)) | v88(constB81, bitIndex2) | (~v88(constB81, bitIndex0)))))),
% 6.65/4.58 inference(modus_ponens,[status(thm)],[413, 412])).
% 6.65/4.58 tff(415,plain,
% 6.65/4.58 (v141(constB81) <=> (~((~v88(constB81, bitIndex1)) | v88(constB81, bitIndex2) | (~v88(constB81, bitIndex0))))),
% 6.65/4.58 inference(unit_resolution,[status(thm)],[414, 408])).
% 6.65/4.58 tff(416,plain,
% 6.65/4.58 (^[VarCurr: $i] : refl((~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0)))) <=> (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))),
% 6.65/4.58 inference(bind,[status(th)],[])).
% 6.65/4.58 tff(417,plain,
% 6.65/4.58 (![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0)))) <=> ![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))),
% 6.65/4.58 inference(quant_intro,[status(thm)],[416])).
% 6.65/4.58 tff(418,plain,
% 6.65/4.58 (^[VarCurr: $i] : rewrite(((v88(VarCurr, bitIndex2) <=> v90(VarCurr, bitIndex2)) & (v88(VarCurr, bitIndex1) <=> v90(VarCurr, bitIndex1)) & (v88(VarCurr, bitIndex0) <=> v90(VarCurr, bitIndex0))) <=> (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))),
% 6.65/4.58 inference(bind,[status(th)],[])).
% 6.65/4.58 tff(419,plain,
% 6.65/4.58 (![VarCurr: $i] : ((v88(VarCurr, bitIndex2) <=> v90(VarCurr, bitIndex2)) & (v88(VarCurr, bitIndex1) <=> v90(VarCurr, bitIndex1)) & (v88(VarCurr, bitIndex0) <=> v90(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))),
% 6.65/4.59 inference(quant_intro,[status(thm)],[418])).
% 6.65/4.59 tff(420,plain,
% 6.65/4.59 (![VarCurr: $i] : ((v88(VarCurr, bitIndex2) <=> v90(VarCurr, bitIndex2)) & (v88(VarCurr, bitIndex1) <=> v90(VarCurr, bitIndex1)) & (v88(VarCurr, bitIndex0) <=> v90(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((v88(VarCurr, bitIndex2) <=> v90(VarCurr, bitIndex2)) & (v88(VarCurr, bitIndex1) <=> v90(VarCurr, bitIndex1)) & (v88(VarCurr, bitIndex0) <=> v90(VarCurr, bitIndex0)))),
% 6.65/4.59 inference(rewrite,[status(thm)],[])).
% 6.65/4.59 tff(421,plain,
% 6.65/4.59 (^[VarCurr: $i] : rewrite((((v88(VarCurr, bitIndex2) <=> v90(VarCurr, bitIndex2)) & (v88(VarCurr, bitIndex1) <=> v90(VarCurr, bitIndex1))) & (v88(VarCurr, bitIndex0) <=> v90(VarCurr, bitIndex0))) <=> ((v88(VarCurr, bitIndex2) <=> v90(VarCurr, bitIndex2)) & (v88(VarCurr, bitIndex1) <=> v90(VarCurr, bitIndex1)) & (v88(VarCurr, bitIndex0) <=> v90(VarCurr, bitIndex0))))),
% 6.65/4.59 inference(bind,[status(th)],[])).
% 6.65/4.59 tff(422,plain,
% 6.65/4.59 (![VarCurr: $i] : (((v88(VarCurr, bitIndex2) <=> v90(VarCurr, bitIndex2)) & (v88(VarCurr, bitIndex1) <=> v90(VarCurr, bitIndex1))) & (v88(VarCurr, bitIndex0) <=> v90(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((v88(VarCurr, bitIndex2) <=> v90(VarCurr, bitIndex2)) & (v88(VarCurr, bitIndex1) <=> v90(VarCurr, bitIndex1)) & (v88(VarCurr, bitIndex0) <=> v90(VarCurr, bitIndex0)))),
% 6.65/4.59 inference(quant_intro,[status(thm)],[421])).
% 6.65/4.59 tff(423,axiom,(![VarCurr: $i] : (((v88(VarCurr, bitIndex2) <=> v90(VarCurr, bitIndex2)) & (v88(VarCurr, bitIndex1) <=> v90(VarCurr, bitIndex1))) & (v88(VarCurr, bitIndex0) <=> v90(VarCurr, bitIndex0)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_8')).
% 6.65/4.59 tff(424,plain,
% 6.65/4.59 (![VarCurr: $i] : ((v88(VarCurr, bitIndex2) <=> v90(VarCurr, bitIndex2)) & (v88(VarCurr, bitIndex1) <=> v90(VarCurr, bitIndex1)) & (v88(VarCurr, bitIndex0) <=> v90(VarCurr, bitIndex0)))),
% 6.65/4.59 inference(modus_ponens,[status(thm)],[423, 422])).
% 6.65/4.59 tff(425,plain,
% 6.65/4.59 (![VarCurr: $i] : ((v88(VarCurr, bitIndex2) <=> v90(VarCurr, bitIndex2)) & (v88(VarCurr, bitIndex1) <=> v90(VarCurr, bitIndex1)) & (v88(VarCurr, bitIndex0) <=> v90(VarCurr, bitIndex0)))),
% 6.65/4.59 inference(modus_ponens,[status(thm)],[424, 420])).
% 6.65/4.59 tff(426,plain,(
% 6.65/4.59 ![VarCurr: $i] : ((v88(VarCurr, bitIndex2) <=> v90(VarCurr, bitIndex2)) & (v88(VarCurr, bitIndex1) <=> v90(VarCurr, bitIndex1)) & (v88(VarCurr, bitIndex0) <=> v90(VarCurr, bitIndex0)))),
% 6.65/4.59 inference(skolemize,[status(sab)],[425])).
% 6.65/4.59 tff(427,plain,
% 6.65/4.59 (![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))),
% 6.65/4.59 inference(modus_ponens,[status(thm)],[426, 419])).
% 6.65/4.59 tff(428,plain,
% 6.65/4.59 (![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))),
% 6.65/4.59 inference(modus_ponens,[status(thm)],[427, 417])).
% 6.65/4.59 tff(429,plain,
% 6.65/4.59 ((~![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))) | (~(((~v88(constB81, bitIndex1)) <=> v90(constB81, bitIndex1)) | ((~v88(constB81, bitIndex2)) <=> v90(constB81, bitIndex2)) | ((~v88(constB81, bitIndex0)) <=> v90(constB81, bitIndex0))))),
% 6.65/4.59 inference(quant_inst,[status(thm)],[])).
% 6.65/4.59 tff(430,plain,
% 6.65/4.59 (~(((~v88(constB81, bitIndex1)) <=> v90(constB81, bitIndex1)) | ((~v88(constB81, bitIndex2)) <=> v90(constB81, bitIndex2)) | ((~v88(constB81, bitIndex0)) <=> v90(constB81, bitIndex0)))),
% 6.65/4.59 inference(unit_resolution,[status(thm)],[429, 428])).
% 6.65/4.59 tff(431,plain,
% 6.65/4.59 ((((~v88(constB81, bitIndex1)) <=> v90(constB81, bitIndex1)) | ((~v88(constB81, bitIndex2)) <=> v90(constB81, bitIndex2)) | ((~v88(constB81, bitIndex0)) <=> v90(constB81, bitIndex0))) | (~((~v88(constB81, bitIndex2)) <=> v90(constB81, bitIndex2)))),
% 6.65/4.59 inference(tautology,[status(thm)],[])).
% 6.65/4.59 tff(432,plain,
% 6.65/4.59 (~((~v88(constB81, bitIndex2)) <=> v90(constB81, bitIndex2))),
% 6.65/4.59 inference(unit_resolution,[status(thm)],[431, 430])).
% 6.65/4.59 tff(433,plain,
% 6.65/4.59 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext)))))) <=> ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext)))))))),
% 6.65/4.59 inference(bind,[status(th)],[])).
% 6.65/4.59 tff(434,plain,
% 6.65/4.59 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext)))))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))),
% 6.65/4.59 inference(quant_intro,[status(thm)],[433])).
% 6.65/4.59 tff(435,plain,
% 6.65/4.59 (^[VarNext: $i, VarCurr: $i] : rewrite(((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (v101(VarNext) & v110(VarNext)))) <=> ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext)))))))),
% 6.65/4.59 inference(bind,[status(th)],[])).
% 6.65/4.59 tff(436,plain,
% 6.65/4.59 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (v101(VarNext) & v110(VarNext)))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))),
% 6.65/4.59 inference(quant_intro,[status(thm)],[435])).
% 6.65/4.59 tff(437,plain,
% 6.65/4.59 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (v101(VarNext) & v110(VarNext)))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (v101(VarNext) & v110(VarNext))))),
% 6.65/4.59 inference(rewrite,[status(thm)],[])).
% 6.65/4.59 tff(438,plain,
% 6.65/4.59 (^[VarNext: $i, VarCurr: $i] : rewrite((nextState(VarCurr, VarNext) => (v100(VarNext) <=> (v101(VarNext) & v110(VarNext)))) <=> ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (v101(VarNext) & v110(VarNext)))))),
% 6.65/4.59 inference(bind,[status(th)],[])).
% 6.65/4.59 tff(439,plain,
% 6.65/4.59 (![VarNext: $i, VarCurr: $i] : (nextState(VarCurr, VarNext) => (v100(VarNext) <=> (v101(VarNext) & v110(VarNext)))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (v101(VarNext) & v110(VarNext))))),
% 6.65/4.59 inference(quant_intro,[status(thm)],[438])).
% 6.65/4.59 tff(440,axiom,(![VarNext: $i, VarCurr: $i] : (nextState(VarCurr, VarNext) => (v100(VarNext) <=> (v101(VarNext) & v110(VarNext))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_27')).
% 6.65/4.59 tff(441,plain,
% 6.65/4.59 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (v101(VarNext) & v110(VarNext))))),
% 6.65/4.59 inference(modus_ponens,[status(thm)],[440, 439])).
% 6.65/4.59 tff(442,plain,
% 6.65/4.59 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (v101(VarNext) & v110(VarNext))))),
% 6.65/4.59 inference(modus_ponens,[status(thm)],[441, 437])).
% 6.65/4.59 tff(443,plain,(
% 6.65/4.59 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (v101(VarNext) & v110(VarNext))))),
% 6.65/4.59 inference(skolemize,[status(sab)],[442])).
% 6.65/4.59 tff(444,plain,
% 6.65/4.59 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))),
% 6.65/4.59 inference(modus_ponens,[status(thm)],[443, 436])).
% 6.65/4.59 tff(445,plain,
% 6.65/4.59 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))),
% 6.65/4.59 inference(modus_ponens,[status(thm)],[444, 434])).
% 6.65/4.59 tff(446,plain,
% 6.65/4.59 (nextState(constB80, constB81) <=> nextState(constB80, constB81)),
% 6.65/4.59 inference(rewrite,[status(thm)],[])).
% 6.65/4.59 tff(447,axiom,(nextState(constB80, constB81)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_80')).
% 6.65/4.59 tff(448,plain,
% 6.65/4.59 (nextState(constB80, constB81)),
% 6.65/4.59 inference(modus_ponens,[status(thm)],[447, 446])).
% 6.65/4.59 tff(449,plain,
% 6.65/4.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB80, constB81)) | (v100(constB81) <=> (~((~v101(constB81)) | (~v110(constB81))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB80, constB81)) | (v100(constB81) <=> (~((~v101(constB81)) | (~v110(constB81))))))),
% 6.65/4.59 inference(rewrite,[status(thm)],[])).
% 6.65/4.59 tff(450,plain,
% 6.65/4.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB80, constB81)) | (v100(constB81) <=> (~((~v101(constB81)) | (~v110(constB81))))))),
% 6.65/4.59 inference(quant_inst,[status(thm)],[])).
% 6.65/4.59 tff(451,plain,
% 6.65/4.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB80, constB81)) | (v100(constB81) <=> (~((~v101(constB81)) | (~v110(constB81)))))),
% 6.65/4.59 inference(modus_ponens,[status(thm)],[450, 449])).
% 6.65/4.59 tff(452,plain,
% 6.65/4.59 (v100(constB81) <=> (~((~v101(constB81)) | (~v110(constB81))))),
% 6.65/4.59 inference(unit_resolution,[status(thm)],[451, 448, 445])).
% 6.65/4.59 tff(453,plain,
% 6.65/4.59 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext)))))) <=> ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext)))))))),
% 6.65/4.59 inference(bind,[status(th)],[])).
% 6.65/4.59 tff(454,plain,
% 6.65/4.59 (![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))))))),
% 6.65/4.59 inference(quant_intro,[status(thm)],[453])).
% 6.65/4.59 tff(455,plain,
% 6.65/4.59 (^[VarNext: $i, VarCurr: $i] : rewrite(((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (v102(VarNext) & v1(VarNext)))) <=> ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext)))))))),
% 6.65/4.59 inference(bind,[status(th)],[])).
% 6.65/4.59 tff(456,plain,
% 6.65/4.59 (![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))))))),
% 6.65/4.59 inference(quant_intro,[status(thm)],[455])).
% 6.65/4.59 tff(457,plain,
% 6.65/4.59 (![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))))),
% 6.65/4.59 inference(rewrite,[status(thm)],[])).
% 6.65/4.59 tff(458,plain,
% 6.65/4.59 (^[VarNext: $i, VarCurr: $i] : rewrite((nextState(VarCurr, VarNext) => (v101(VarNext) <=> (v102(VarNext) & v1(VarNext)))) <=> ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (v102(VarNext) & v1(VarNext)))))),
% 6.65/4.59 inference(bind,[status(th)],[])).
% 6.65/4.59 tff(459,plain,
% 6.65/4.59 (![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))))),
% 6.65/4.59 inference(quant_intro,[status(thm)],[458])).
% 6.65/4.59 tff(460,axiom,(![VarNext: $i, VarCurr: $i] : (nextState(VarCurr, VarNext) => (v101(VarNext) <=> (v102(VarNext) & v1(VarNext))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_18')).
% 6.65/4.59 tff(461,plain,
% 6.65/4.59 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (v102(VarNext) & v1(VarNext))))),
% 6.65/4.59 inference(modus_ponens,[status(thm)],[460, 459])).
% 6.65/4.59 tff(462,plain,
% 6.65/4.59 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (v102(VarNext) & v1(VarNext))))),
% 6.65/4.59 inference(modus_ponens,[status(thm)],[461, 457])).
% 6.65/4.59 tff(463,plain,(
% 6.65/4.59 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (v102(VarNext) & v1(VarNext))))),
% 6.65/4.59 inference(skolemize,[status(sab)],[462])).
% 6.65/4.59 tff(464,plain,
% 6.65/4.59 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))),
% 6.65/4.59 inference(modus_ponens,[status(thm)],[463, 456])).
% 6.65/4.59 tff(465,plain,
% 6.65/4.59 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))),
% 6.65/4.59 inference(modus_ponens,[status(thm)],[464, 454])).
% 6.65/4.59 tff(466,plain,
% 6.65/4.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB80, constB81)) | (v101(constB81) <=> (~((~v1(constB81)) | (~v102(constB81))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB80, constB81)) | (v101(constB81) <=> (~((~v1(constB81)) | (~v102(constB81))))))),
% 6.65/4.59 inference(rewrite,[status(thm)],[])).
% 6.65/4.59 tff(467,plain,
% 6.65/4.59 (((~nextState(constB80, constB81)) | (v101(constB81) <=> (~((~v102(constB81)) | (~v1(constB81)))))) <=> ((~nextState(constB80, constB81)) | (v101(constB81) <=> (~((~v1(constB81)) | (~v102(constB81))))))),
% 6.65/4.59 inference(rewrite,[status(thm)],[])).
% 6.65/4.59 tff(468,plain,
% 6.65/4.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB80, constB81)) | (v101(constB81) <=> (~((~v102(constB81)) | (~v1(constB81))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB80, constB81)) | (v101(constB81) <=> (~((~v1(constB81)) | (~v102(constB81)))))))),
% 6.65/4.59 inference(monotonicity,[status(thm)],[467])).
% 6.65/4.59 tff(469,plain,
% 6.65/4.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB80, constB81)) | (v101(constB81) <=> (~((~v102(constB81)) | (~v1(constB81))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB80, constB81)) | (v101(constB81) <=> (~((~v1(constB81)) | (~v102(constB81))))))),
% 6.65/4.59 inference(transitivity,[status(thm)],[468, 466])).
% 6.65/4.59 tff(470,plain,
% 6.65/4.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB80, constB81)) | (v101(constB81) <=> (~((~v102(constB81)) | (~v1(constB81))))))),
% 6.65/4.59 inference(quant_inst,[status(thm)],[])).
% 6.65/4.59 tff(471,plain,
% 6.65/4.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB80, constB81)) | (v101(constB81) <=> (~((~v1(constB81)) | (~v102(constB81)))))),
% 6.65/4.59 inference(modus_ponens,[status(thm)],[470, 469])).
% 6.65/4.59 tff(472,plain,
% 6.65/4.59 (v101(constB81) <=> (~((~v1(constB81)) | (~v102(constB81))))),
% 6.65/4.59 inference(unit_resolution,[status(thm)],[471, 448, 465])).
% 6.65/4.59 tff(473,plain,
% 6.65/4.59 (((~v1(constB81)) | (~v102(constB81))) | v1(constB81)),
% 6.65/4.59 inference(tautology,[status(thm)],[])).
% 6.65/4.59 tff(474,plain,
% 6.65/4.59 ((~v1(constB81)) | (~v102(constB81))),
% 6.65/4.59 inference(unit_resolution,[status(thm)],[473, 316])).
% 6.65/4.59 tff(475,plain,
% 6.65/4.59 ((~(v101(constB81) <=> (~((~v1(constB81)) | (~v102(constB81)))))) | (~v101(constB81)) | (~((~v1(constB81)) | (~v102(constB81))))),
% 6.65/4.59 inference(tautology,[status(thm)],[])).
% 6.65/4.59 tff(476,plain,
% 6.65/4.59 ((~(v101(constB81) <=> (~((~v1(constB81)) | (~v102(constB81)))))) | (~v101(constB81))),
% 6.65/4.59 inference(unit_resolution,[status(thm)],[475, 474])).
% 6.65/4.59 tff(477,plain,
% 6.65/4.59 (~v101(constB81)),
% 6.65/4.59 inference(unit_resolution,[status(thm)],[476, 472])).
% 6.65/4.59 tff(478,plain,
% 6.65/4.59 (((~v101(constB81)) | (~v110(constB81))) | v101(constB81)),
% 6.65/4.59 inference(tautology,[status(thm)],[])).
% 6.65/4.59 tff(479,plain,
% 6.65/4.59 ((~v101(constB81)) | (~v110(constB81))),
% 6.65/4.59 inference(unit_resolution,[status(thm)],[478, 477])).
% 6.65/4.59 tff(480,plain,
% 6.65/4.59 ((~(v100(constB81) <=> (~((~v101(constB81)) | (~v110(constB81)))))) | (~v100(constB81)) | (~((~v101(constB81)) | (~v110(constB81))))),
% 6.65/4.59 inference(tautology,[status(thm)],[])).
% 6.65/4.59 tff(481,plain,
% 6.65/4.59 (~v100(constB81)),
% 6.65/4.59 inference(unit_resolution,[status(thm)],[480, 479, 452])).
% 6.65/4.59 tff(482,plain,
% 6.65/4.59 (^[VarNext: $i, VarCurr: $i] : refl((v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0))))) <=> (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0))))))),
% 6.65/4.59 inference(bind,[status(th)],[])).
% 6.65/4.59 tff(483,plain,
% 6.65/4.59 (![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0))))) <=> ![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))),
% 6.65/4.59 inference(quant_intro,[status(thm)],[482])).
% 6.65/4.59 tff(484,plain,
% 6.65/4.59 (^[VarNext: $i, VarCurr: $i] : rewrite((v100(VarNext) | (~nextState(VarCurr, VarNext)) | ((v90(VarNext, bitIndex2) <=> v90(VarCurr, bitIndex2)) & (v90(VarNext, bitIndex1) <=> v90(VarCurr, bitIndex1)) & (v90(VarNext, bitIndex0) <=> v90(VarCurr, bitIndex0)))) <=> (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0))))))),
% 6.65/4.59 inference(bind,[status(th)],[])).
% 6.65/4.59 tff(485,plain,
% 6.65/4.59 (![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ((v90(VarNext, bitIndex2) <=> v90(VarCurr, bitIndex2)) & (v90(VarNext, bitIndex1) <=> v90(VarCurr, bitIndex1)) & (v90(VarNext, bitIndex0) <=> v90(VarCurr, bitIndex0)))) <=> ![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))),
% 6.65/4.59 inference(quant_intro,[status(thm)],[484])).
% 6.65/4.59 tff(486,plain,
% 6.65/4.59 (![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ((v90(VarNext, bitIndex2) <=> v90(VarCurr, bitIndex2)) & (v90(VarNext, bitIndex1) <=> v90(VarCurr, bitIndex1)) & (v90(VarNext, bitIndex0) <=> v90(VarCurr, bitIndex0)))) <=> ![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ((v90(VarNext, bitIndex2) <=> v90(VarCurr, bitIndex2)) & (v90(VarNext, bitIndex1) <=> v90(VarCurr, bitIndex1)) & (v90(VarNext, bitIndex0) <=> v90(VarCurr, bitIndex0))))),
% 6.65/4.59 inference(rewrite,[status(thm)],[])).
% 6.65/4.59 tff(487,plain,
% 6.65/4.59 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(trans(monotonicity(rewrite((((v90(VarNext, bitIndex2) <=> v90(VarCurr, bitIndex2)) & (v90(VarNext, bitIndex1) <=> v90(VarCurr, bitIndex1))) & (v90(VarNext, bitIndex0) <=> v90(VarCurr, bitIndex0))) <=> ((v90(VarNext, bitIndex2) <=> v90(VarCurr, bitIndex2)) & (v90(VarNext, bitIndex1) <=> v90(VarCurr, bitIndex1)) & (v90(VarNext, bitIndex0) <=> v90(VarCurr, bitIndex0)))), (((~v100(VarNext)) => (((v90(VarNext, bitIndex2) <=> v90(VarCurr, bitIndex2)) & (v90(VarNext, bitIndex1) <=> v90(VarCurr, bitIndex1))) & (v90(VarNext, bitIndex0) <=> v90(VarCurr, bitIndex0)))) <=> ((~v100(VarNext)) => ((v90(VarNext, bitIndex2) <=> v90(VarCurr, bitIndex2)) & (v90(VarNext, bitIndex1) <=> v90(VarCurr, bitIndex1)) & (v90(VarNext, bitIndex0) <=> v90(VarCurr, bitIndex0)))))), rewrite(((~v100(VarNext)) => ((v90(VarNext, bitIndex2) <=> v90(VarCurr, bitIndex2)) & (v90(VarNext, bitIndex1) <=> v90(VarCurr, bitIndex1)) & (v90(VarNext, bitIndex0) <=> v90(VarCurr, bitIndex0)))) <=> (v100(VarNext) | ((v90(VarNext, bitIndex2) <=> v90(VarCurr, bitIndex2)) & (v90(VarNext, bitIndex1) <=> v90(VarCurr, bitIndex1)) & (v90(VarNext, bitIndex0) <=> v90(VarCurr, bitIndex0))))), (((~v100(VarNext)) => (((v90(VarNext, bitIndex2) <=> v90(VarCurr, bitIndex2)) & (v90(VarNext, bitIndex1) <=> v90(VarCurr, bitIndex1))) & (v90(VarNext, bitIndex0) <=> v90(VarCurr, bitIndex0)))) <=> (v100(VarNext) | ((v90(VarNext, bitIndex2) <=> v90(VarCurr, bitIndex2)) & (v90(VarNext, bitIndex1) <=> v90(VarCurr, bitIndex1)) & (v90(VarNext, bitIndex0) <=> v90(VarCurr, bitIndex0)))))), ((nextState(VarCurr, VarNext) => ((~v100(VarNext)) => (((v90(VarNext, bitIndex2) <=> v90(VarCurr, bitIndex2)) & (v90(VarNext, bitIndex1) <=> v90(VarCurr, bitIndex1))) & (v90(VarNext, bitIndex0) <=> v90(VarCurr, bitIndex0))))) <=> (nextState(VarCurr, VarNext) => (v100(VarNext) | ((v90(VarNext, bitIndex2) <=> v90(VarCurr, bitIndex2)) & (v90(VarNext, bitIndex1) <=> v90(VarCurr, bitIndex1)) & (v90(VarNext, bitIndex0) <=> v90(VarCurr, bitIndex0))))))), rewrite((nextState(VarCurr, VarNext) => (v100(VarNext) | ((v90(VarNext, bitIndex2) <=> v90(VarCurr, bitIndex2)) & (v90(VarNext, bitIndex1) <=> v90(VarCurr, bitIndex1)) & (v90(VarNext, bitIndex0) <=> v90(VarCurr, bitIndex0))))) <=> (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ((v90(VarNext, bitIndex2) <=> v90(VarCurr, bitIndex2)) & (v90(VarNext, bitIndex1) <=> v90(VarCurr, bitIndex1)) & (v90(VarNext, bitIndex0) <=> v90(VarCurr, bitIndex0))))), ((nextState(VarCurr, VarNext) => ((~v100(VarNext)) => (((v90(VarNext, bitIndex2) <=> v90(VarCurr, bitIndex2)) & (v90(VarNext, bitIndex1) <=> v90(VarCurr, bitIndex1))) & (v90(VarNext, bitIndex0) <=> v90(VarCurr, bitIndex0))))) <=> (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ((v90(VarNext, bitIndex2) <=> v90(VarCurr, bitIndex2)) & (v90(VarNext, bitIndex1) <=> v90(VarCurr, bitIndex1)) & (v90(VarNext, bitIndex0) <=> v90(VarCurr, bitIndex0))))))),
% 6.65/4.59 inference(bind,[status(th)],[])).
% 6.65/4.59 tff(488,plain,
% 6.65/4.59 (![VarNext: $i, VarCurr: $i] : (nextState(VarCurr, VarNext) => ((~v100(VarNext)) => (((v90(VarNext, bitIndex2) <=> v90(VarCurr, bitIndex2)) & (v90(VarNext, bitIndex1) <=> v90(VarCurr, bitIndex1))) & (v90(VarNext, bitIndex0) <=> v90(VarCurr, bitIndex0))))) <=> ![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ((v90(VarNext, bitIndex2) <=> v90(VarCurr, bitIndex2)) & (v90(VarNext, bitIndex1) <=> v90(VarCurr, bitIndex1)) & (v90(VarNext, bitIndex0) <=> v90(VarCurr, bitIndex0))))),
% 6.65/4.59 inference(quant_intro,[status(thm)],[487])).
% 6.65/4.59 tff(489,axiom,(![VarNext: $i, VarCurr: $i] : (nextState(VarCurr, VarNext) => ((~v100(VarNext)) => (((v90(VarNext, bitIndex2) <=> v90(VarCurr, bitIndex2)) & (v90(VarNext, bitIndex1) <=> v90(VarCurr, bitIndex1))) & (v90(VarNext, bitIndex0) <=> v90(VarCurr, bitIndex0)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1')).
% 6.65/4.59 tff(490,plain,
% 6.65/4.59 (![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ((v90(VarNext, bitIndex2) <=> v90(VarCurr, bitIndex2)) & (v90(VarNext, bitIndex1) <=> v90(VarCurr, bitIndex1)) & (v90(VarNext, bitIndex0) <=> v90(VarCurr, bitIndex0))))),
% 6.65/4.59 inference(modus_ponens,[status(thm)],[489, 488])).
% 6.65/4.59 tff(491,plain,
% 6.65/4.59 (![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ((v90(VarNext, bitIndex2) <=> v90(VarCurr, bitIndex2)) & (v90(VarNext, bitIndex1) <=> v90(VarCurr, bitIndex1)) & (v90(VarNext, bitIndex0) <=> v90(VarCurr, bitIndex0))))),
% 6.65/4.59 inference(modus_ponens,[status(thm)],[490, 486])).
% 6.65/4.59 tff(492,plain,(
% 6.65/4.59 ![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ((v90(VarNext, bitIndex2) <=> v90(VarCurr, bitIndex2)) & (v90(VarNext, bitIndex1) <=> v90(VarCurr, bitIndex1)) & (v90(VarNext, bitIndex0) <=> v90(VarCurr, bitIndex0))))),
% 6.65/4.59 inference(skolemize,[status(sab)],[491])).
% 6.65/4.59 tff(493,plain,
% 6.65/4.59 (![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))),
% 6.65/4.59 inference(modus_ponens,[status(thm)],[492, 485])).
% 6.65/4.59 tff(494,plain,
% 6.65/4.59 (![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))),
% 6.65/4.59 inference(modus_ponens,[status(thm)],[493, 483])).
% 6.65/4.59 tff(495,plain,
% 6.65/4.59 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB81) | (~nextState(constB80, constB81)) | (~(((~v90(constB81, bitIndex1)) <=> v90(constB80, bitIndex1)) | ((~v90(constB81, bitIndex2)) <=> v90(constB80, bitIndex2)) | ((~v90(constB81, bitIndex0)) <=> v90(constB80, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB81) | (~nextState(constB80, constB81)) | (~(((~v90(constB81, bitIndex1)) <=> v90(constB80, bitIndex1)) | ((~v90(constB81, bitIndex2)) <=> v90(constB80, bitIndex2)) | ((~v90(constB81, bitIndex0)) <=> v90(constB80, bitIndex0)))))),
% 6.65/4.59 inference(rewrite,[status(thm)],[])).
% 6.65/4.59 tff(496,plain,
% 6.65/4.59 ((v100(constB81) | (~nextState(constB80, constB81)) | (~(((~v90(constB81, bitIndex2)) <=> v90(constB80, bitIndex2)) | ((~v90(constB81, bitIndex1)) <=> v90(constB80, bitIndex1)) | ((~v90(constB81, bitIndex0)) <=> v90(constB80, bitIndex0))))) <=> (v100(constB81) | (~nextState(constB80, constB81)) | (~(((~v90(constB81, bitIndex1)) <=> v90(constB80, bitIndex1)) | ((~v90(constB81, bitIndex2)) <=> v90(constB80, bitIndex2)) | ((~v90(constB81, bitIndex0)) <=> v90(constB80, bitIndex0)))))),
% 6.65/4.59 inference(rewrite,[status(thm)],[])).
% 6.65/4.59 tff(497,plain,
% 6.65/4.59 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB81) | (~nextState(constB80, constB81)) | (~(((~v90(constB81, bitIndex2)) <=> v90(constB80, bitIndex2)) | ((~v90(constB81, bitIndex1)) <=> v90(constB80, bitIndex1)) | ((~v90(constB81, bitIndex0)) <=> v90(constB80, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB81) | (~nextState(constB80, constB81)) | (~(((~v90(constB81, bitIndex1)) <=> v90(constB80, bitIndex1)) | ((~v90(constB81, bitIndex2)) <=> v90(constB80, bitIndex2)) | ((~v90(constB81, bitIndex0)) <=> v90(constB80, bitIndex0))))))),
% 6.65/4.59 inference(monotonicity,[status(thm)],[496])).
% 6.65/4.59 tff(498,plain,
% 6.65/4.59 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB81) | (~nextState(constB80, constB81)) | (~(((~v90(constB81, bitIndex2)) <=> v90(constB80, bitIndex2)) | ((~v90(constB81, bitIndex1)) <=> v90(constB80, bitIndex1)) | ((~v90(constB81, bitIndex0)) <=> v90(constB80, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB81) | (~nextState(constB80, constB81)) | (~(((~v90(constB81, bitIndex1)) <=> v90(constB80, bitIndex1)) | ((~v90(constB81, bitIndex2)) <=> v90(constB80, bitIndex2)) | ((~v90(constB81, bitIndex0)) <=> v90(constB80, bitIndex0)))))),
% 6.65/4.59 inference(transitivity,[status(thm)],[497, 495])).
% 6.65/4.59 tff(499,plain,
% 6.65/4.59 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB81) | (~nextState(constB80, constB81)) | (~(((~v90(constB81, bitIndex2)) <=> v90(constB80, bitIndex2)) | ((~v90(constB81, bitIndex1)) <=> v90(constB80, bitIndex1)) | ((~v90(constB81, bitIndex0)) <=> v90(constB80, bitIndex0)))))),
% 6.65/4.59 inference(quant_inst,[status(thm)],[])).
% 6.65/4.59 tff(500,plain,
% 6.65/4.59 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB81) | (~nextState(constB80, constB81)) | (~(((~v90(constB81, bitIndex1)) <=> v90(constB80, bitIndex1)) | ((~v90(constB81, bitIndex2)) <=> v90(constB80, bitIndex2)) | ((~v90(constB81, bitIndex0)) <=> v90(constB80, bitIndex0))))),
% 6.65/4.59 inference(modus_ponens,[status(thm)],[499, 498])).
% 6.65/4.59 tff(501,plain,
% 6.65/4.59 (v100(constB81) | (~(((~v90(constB81, bitIndex1)) <=> v90(constB80, bitIndex1)) | ((~v90(constB81, bitIndex2)) <=> v90(constB80, bitIndex2)) | ((~v90(constB81, bitIndex0)) <=> v90(constB80, bitIndex0))))),
% 6.65/4.59 inference(unit_resolution,[status(thm)],[500, 448, 494])).
% 6.65/4.59 tff(502,plain,
% 6.65/4.59 (~(((~v90(constB81, bitIndex1)) <=> v90(constB80, bitIndex1)) | ((~v90(constB81, bitIndex2)) <=> v90(constB80, bitIndex2)) | ((~v90(constB81, bitIndex0)) <=> v90(constB80, bitIndex0)))),
% 6.65/4.59 inference(unit_resolution,[status(thm)],[501, 481])).
% 6.65/4.59 tff(503,plain,
% 6.65/4.59 ((((~v90(constB81, bitIndex1)) <=> v90(constB80, bitIndex1)) | ((~v90(constB81, bitIndex2)) <=> v90(constB80, bitIndex2)) | ((~v90(constB81, bitIndex0)) <=> v90(constB80, bitIndex0))) | (~((~v90(constB81, bitIndex2)) <=> v90(constB80, bitIndex2)))),
% 6.65/4.59 inference(tautology,[status(thm)],[])).
% 6.65/4.59 tff(504,plain,
% 6.65/4.59 (~((~v90(constB81, bitIndex2)) <=> v90(constB80, bitIndex2))),
% 6.65/4.59 inference(unit_resolution,[status(thm)],[503, 502])).
% 6.65/4.59 tff(505,plain,
% 6.65/4.59 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0))))) <=> ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0))))))),
% 6.65/4.59 inference(bind,[status(th)],[])).
% 6.65/4.59 tff(506,plain,
% 6.65/4.59 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0))))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))),
% 6.65/4.59 inference(quant_intro,[status(thm)],[505])).
% 6.65/4.59 tff(507,plain,
% 6.65/4.59 (^[VarNext: $i, VarCurr: $i] : rewrite(((~nextState(VarCurr, VarNext)) | ((v129(VarNext, bitIndex2) <=> v127(VarCurr, bitIndex2)) & (v129(VarNext, bitIndex1) <=> v127(VarCurr, bitIndex1)) & (v129(VarNext, bitIndex0) <=> v127(VarCurr, bitIndex0)))) <=> ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0))))))),
% 6.65/4.59 inference(bind,[status(th)],[])).
% 6.65/4.59 tff(508,plain,
% 6.65/4.59 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((v129(VarNext, bitIndex2) <=> v127(VarCurr, bitIndex2)) & (v129(VarNext, bitIndex1) <=> v127(VarCurr, bitIndex1)) & (v129(VarNext, bitIndex0) <=> v127(VarCurr, bitIndex0)))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))),
% 6.65/4.59 inference(quant_intro,[status(thm)],[507])).
% 6.65/4.59 tff(509,plain,
% 6.65/4.59 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((v129(VarNext, bitIndex2) <=> v127(VarCurr, bitIndex2)) & (v129(VarNext, bitIndex1) <=> v127(VarCurr, bitIndex1)) & (v129(VarNext, bitIndex0) <=> v127(VarCurr, bitIndex0)))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((v129(VarNext, bitIndex2) <=> v127(VarCurr, bitIndex2)) & (v129(VarNext, bitIndex1) <=> v127(VarCurr, bitIndex1)) & (v129(VarNext, bitIndex0) <=> v127(VarCurr, bitIndex0))))),
% 6.65/4.59 inference(rewrite,[status(thm)],[])).
% 6.65/4.59 tff(510,plain,
% 6.65/4.59 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(rewrite((((v129(VarNext, bitIndex2) <=> v127(VarCurr, bitIndex2)) & (v129(VarNext, bitIndex1) <=> v127(VarCurr, bitIndex1))) & (v129(VarNext, bitIndex0) <=> v127(VarCurr, bitIndex0))) <=> ((v129(VarNext, bitIndex2) <=> v127(VarCurr, bitIndex2)) & (v129(VarNext, bitIndex1) <=> v127(VarCurr, bitIndex1)) & (v129(VarNext, bitIndex0) <=> v127(VarCurr, bitIndex0)))), ((nextState(VarCurr, VarNext) => (((v129(VarNext, bitIndex2) <=> v127(VarCurr, bitIndex2)) & (v129(VarNext, bitIndex1) <=> v127(VarCurr, bitIndex1))) & (v129(VarNext, bitIndex0) <=> v127(VarCurr, bitIndex0)))) <=> (nextState(VarCurr, VarNext) => ((v129(VarNext, bitIndex2) <=> v127(VarCurr, bitIndex2)) & (v129(VarNext, bitIndex1) <=> v127(VarCurr, bitIndex1)) & (v129(VarNext, bitIndex0) <=> v127(VarCurr, bitIndex0)))))), rewrite((nextState(VarCurr, VarNext) => ((v129(VarNext, bitIndex2) <=> v127(VarCurr, bitIndex2)) & (v129(VarNext, bitIndex1) <=> v127(VarCurr, bitIndex1)) & (v129(VarNext, bitIndex0) <=> v127(VarCurr, bitIndex0)))) <=> ((~nextState(VarCurr, VarNext)) | ((v129(VarNext, bitIndex2) <=> v127(VarCurr, bitIndex2)) & (v129(VarNext, bitIndex1) <=> v127(VarCurr, bitIndex1)) & (v129(VarNext, bitIndex0) <=> v127(VarCurr, bitIndex0))))), ((nextState(VarCurr, VarNext) => (((v129(VarNext, bitIndex2) <=> v127(VarCurr, bitIndex2)) & (v129(VarNext, bitIndex1) <=> v127(VarCurr, bitIndex1))) & (v129(VarNext, bitIndex0) <=> v127(VarCurr, bitIndex0)))) <=> ((~nextState(VarCurr, VarNext)) | ((v129(VarNext, bitIndex2) <=> v127(VarCurr, bitIndex2)) & (v129(VarNext, bitIndex1) <=> v127(VarCurr, bitIndex1)) & (v129(VarNext, bitIndex0) <=> v127(VarCurr, bitIndex0))))))),
% 6.65/4.59 inference(bind,[status(th)],[])).
% 6.65/4.59 tff(511,plain,
% 6.65/4.59 (![VarNext: $i, VarCurr: $i] : (nextState(VarCurr, VarNext) => (((v129(VarNext, bitIndex2) <=> v127(VarCurr, bitIndex2)) & (v129(VarNext, bitIndex1) <=> v127(VarCurr, bitIndex1))) & (v129(VarNext, bitIndex0) <=> v127(VarCurr, bitIndex0)))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((v129(VarNext, bitIndex2) <=> v127(VarCurr, bitIndex2)) & (v129(VarNext, bitIndex1) <=> v127(VarCurr, bitIndex1)) & (v129(VarNext, bitIndex0) <=> v127(VarCurr, bitIndex0))))),
% 6.65/4.59 inference(quant_intro,[status(thm)],[510])).
% 6.65/4.59 tff(512,axiom,(![VarNext: $i, VarCurr: $i] : (nextState(VarCurr, VarNext) => (((v129(VarNext, bitIndex2) <=> v127(VarCurr, bitIndex2)) & (v129(VarNext, bitIndex1) <=> v127(VarCurr, bitIndex1))) & (v129(VarNext, bitIndex0) <=> v127(VarCurr, bitIndex0))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_7')).
% 6.65/4.59 tff(513,plain,
% 6.65/4.59 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((v129(VarNext, bitIndex2) <=> v127(VarCurr, bitIndex2)) & (v129(VarNext, bitIndex1) <=> v127(VarCurr, bitIndex1)) & (v129(VarNext, bitIndex0) <=> v127(VarCurr, bitIndex0))))),
% 6.65/4.59 inference(modus_ponens,[status(thm)],[512, 511])).
% 6.65/4.59 tff(514,plain,
% 6.65/4.59 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((v129(VarNext, bitIndex2) <=> v127(VarCurr, bitIndex2)) & (v129(VarNext, bitIndex1) <=> v127(VarCurr, bitIndex1)) & (v129(VarNext, bitIndex0) <=> v127(VarCurr, bitIndex0))))),
% 6.65/4.60 inference(modus_ponens,[status(thm)],[513, 509])).
% 6.65/4.60 tff(515,plain,(
% 6.65/4.60 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((v129(VarNext, bitIndex2) <=> v127(VarCurr, bitIndex2)) & (v129(VarNext, bitIndex1) <=> v127(VarCurr, bitIndex1)) & (v129(VarNext, bitIndex0) <=> v127(VarCurr, bitIndex0))))),
% 6.65/4.60 inference(skolemize,[status(sab)],[514])).
% 6.65/4.60 tff(516,plain,
% 6.65/4.60 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))),
% 6.65/4.60 inference(modus_ponens,[status(thm)],[515, 508])).
% 6.65/4.60 tff(517,plain,
% 6.65/4.60 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))),
% 6.65/4.60 inference(modus_ponens,[status(thm)],[516, 506])).
% 6.65/4.60 tff(518,plain,
% 6.65/4.60 (nextState(constB79, constB80) <=> nextState(constB79, constB80)),
% 6.65/4.60 inference(rewrite,[status(thm)],[])).
% 6.65/4.60 tff(519,axiom,(nextState(constB79, constB80)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_79')).
% 6.65/4.60 tff(520,plain,
% 6.65/4.60 (nextState(constB79, constB80)),
% 6.65/4.60 inference(modus_ponens,[status(thm)],[519, 518])).
% 6.65/4.60 tff(521,plain,
% 6.65/4.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB79, constB80)) | (~(((~v129(constB80, bitIndex2)) <=> v127(constB79, bitIndex2)) | ((~v129(constB80, bitIndex1)) <=> v127(constB79, bitIndex1)) | ((~v129(constB80, bitIndex0)) <=> v127(constB79, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB79, constB80)) | (~(((~v129(constB80, bitIndex2)) <=> v127(constB79, bitIndex2)) | ((~v129(constB80, bitIndex1)) <=> v127(constB79, bitIndex1)) | ((~v129(constB80, bitIndex0)) <=> v127(constB79, bitIndex0)))))),
% 6.65/4.60 inference(rewrite,[status(thm)],[])).
% 6.65/4.60 tff(522,plain,
% 6.65/4.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB79, constB80)) | (~(((~v129(constB80, bitIndex2)) <=> v127(constB79, bitIndex2)) | ((~v129(constB80, bitIndex1)) <=> v127(constB79, bitIndex1)) | ((~v129(constB80, bitIndex0)) <=> v127(constB79, bitIndex0)))))),
% 6.65/4.60 inference(quant_inst,[status(thm)],[])).
% 6.65/4.60 tff(523,plain,
% 6.65/4.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB79, constB80)) | (~(((~v129(constB80, bitIndex2)) <=> v127(constB79, bitIndex2)) | ((~v129(constB80, bitIndex1)) <=> v127(constB79, bitIndex1)) | ((~v129(constB80, bitIndex0)) <=> v127(constB79, bitIndex0))))),
% 6.65/4.60 inference(modus_ponens,[status(thm)],[522, 521])).
% 6.65/4.60 tff(524,plain,
% 6.65/4.60 (~(((~v129(constB80, bitIndex2)) <=> v127(constB79, bitIndex2)) | ((~v129(constB80, bitIndex1)) <=> v127(constB79, bitIndex1)) | ((~v129(constB80, bitIndex0)) <=> v127(constB79, bitIndex0)))),
% 6.65/4.60 inference(unit_resolution,[status(thm)],[523, 520, 517])).
% 6.65/4.60 tff(525,plain,
% 6.65/4.60 ((((~v129(constB80, bitIndex2)) <=> v127(constB79, bitIndex2)) | ((~v129(constB80, bitIndex1)) <=> v127(constB79, bitIndex1)) | ((~v129(constB80, bitIndex0)) <=> v127(constB79, bitIndex0))) | (~((~v129(constB80, bitIndex2)) <=> v127(constB79, bitIndex2)))),
% 6.65/4.60 inference(tautology,[status(thm)],[])).
% 6.65/4.60 tff(526,plain,
% 6.65/4.60 (~((~v129(constB80, bitIndex2)) <=> v127(constB79, bitIndex2))),
% 6.65/4.60 inference(unit_resolution,[status(thm)],[525, 524])).
% 6.65/4.60 tff(527,plain,
% 6.65/4.60 (^[VarCurr: $i] : refl((v111(VarCurr) <=> v26(VarCurr)) <=> (v111(VarCurr) <=> v26(VarCurr)))),
% 6.65/4.60 inference(bind,[status(th)],[])).
% 6.65/4.60 tff(528,plain,
% 6.65/4.60 (![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr)) <=> ![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))),
% 6.65/4.60 inference(quant_intro,[status(thm)],[527])).
% 6.65/4.60 tff(529,plain,
% 6.65/4.60 (![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr)) <=> ![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))),
% 6.65/4.60 inference(rewrite,[status(thm)],[])).
% 6.65/4.60 tff(530,plain,
% 6.65/4.60 (^[VarCurr: $i] : rewrite((v111(VarCurr) <=> (v26(VarCurr) <=> $true)) <=> (v111(VarCurr) <=> v26(VarCurr)))),
% 6.65/4.60 inference(bind,[status(th)],[])).
% 6.65/4.60 tff(531,plain,
% 6.65/4.60 (![VarCurr: $i] : (v111(VarCurr) <=> (v26(VarCurr) <=> $true)) <=> ![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))),
% 6.65/4.60 inference(quant_intro,[status(thm)],[530])).
% 6.65/4.60 tff(532,axiom,(![VarCurr: $i] : (v111(VarCurr) <=> (v26(VarCurr) <=> $true))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_1')).
% 6.65/4.60 tff(533,plain,
% 6.65/4.60 (![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))),
% 6.65/4.60 inference(modus_ponens,[status(thm)],[532, 531])).
% 6.65/4.60 tff(534,plain,
% 6.65/4.60 (![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))),
% 6.65/4.60 inference(modus_ponens,[status(thm)],[533, 529])).
% 6.65/4.60 tff(535,plain,(
% 6.65/4.60 ![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))),
% 6.65/4.60 inference(skolemize,[status(sab)],[534])).
% 6.65/4.60 tff(536,plain,
% 6.65/4.60 (![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))),
% 6.65/4.60 inference(modus_ponens,[status(thm)],[535, 528])).
% 6.65/4.60 tff(537,plain,
% 6.65/4.60 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB79) <=> v26(constB79))),
% 6.65/4.60 inference(quant_inst,[status(thm)],[])).
% 6.65/4.60 tff(538,plain,
% 6.65/4.60 (v111(constB79) <=> v26(constB79)),
% 6.65/4.60 inference(unit_resolution,[status(thm)],[537, 536])).
% 6.65/4.60 tff(539,plain,
% 6.65/4.60 (^[VarCurr: $i] : refl((~v26(VarCurr)) <=> (~v26(VarCurr)))),
% 6.65/4.60 inference(bind,[status(th)],[])).
% 6.65/4.60 tff(540,plain,
% 6.65/4.60 (![VarCurr: $i] : (~v26(VarCurr)) <=> ![VarCurr: $i] : (~v26(VarCurr))),
% 6.65/4.60 inference(quant_intro,[status(thm)],[539])).
% 6.65/4.60 tff(541,plain,
% 6.65/4.60 (![VarCurr: $i] : (~v26(VarCurr)) <=> ![VarCurr: $i] : (~v26(VarCurr))),
% 6.65/4.60 inference(rewrite,[status(thm)],[])).
% 6.65/4.60 tff(542,plain,
% 6.65/4.60 (^[VarCurr: $i] : rewrite((v26(VarCurr) <=> $false) <=> (~v26(VarCurr)))),
% 6.65/4.60 inference(bind,[status(th)],[])).
% 6.65/4.60 tff(543,plain,
% 6.65/4.60 (![VarCurr: $i] : (v26(VarCurr) <=> $false) <=> ![VarCurr: $i] : (~v26(VarCurr))),
% 6.65/4.60 inference(quant_intro,[status(thm)],[542])).
% 6.65/4.60 tff(544,axiom,(![VarCurr: $i] : (v26(VarCurr) <=> $false)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_1')).
% 6.65/4.60 tff(545,plain,
% 6.65/4.60 (![VarCurr: $i] : (~v26(VarCurr))),
% 6.65/4.60 inference(modus_ponens,[status(thm)],[544, 543])).
% 6.65/4.60 tff(546,plain,
% 6.65/4.60 (![VarCurr: $i] : (~v26(VarCurr))),
% 6.65/4.60 inference(modus_ponens,[status(thm)],[545, 541])).
% 6.65/4.60 tff(547,plain,(
% 6.65/4.60 ![VarCurr: $i] : (~v26(VarCurr))),
% 6.65/4.60 inference(skolemize,[status(sab)],[546])).
% 6.65/4.60 tff(548,plain,
% 6.65/4.60 (![VarCurr: $i] : (~v26(VarCurr))),
% 6.65/4.60 inference(modus_ponens,[status(thm)],[547, 540])).
% 6.65/4.60 tff(549,plain,
% 6.65/4.60 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB79))),
% 6.65/4.60 inference(quant_inst,[status(thm)],[])).
% 6.65/4.60 tff(550,plain,
% 6.65/4.60 (~v26(constB79)),
% 6.65/4.60 inference(unit_resolution,[status(thm)],[549, 548])).
% 6.65/4.60 tff(551,plain,
% 6.65/4.60 ((~(v111(constB79) <=> v26(constB79))) | (~v111(constB79)) | v26(constB79)),
% 6.65/4.60 inference(tautology,[status(thm)],[])).
% 6.65/4.60 tff(552,plain,
% 6.65/4.60 ((~(v111(constB79) <=> v26(constB79))) | (~v111(constB79))),
% 6.65/4.60 inference(unit_resolution,[status(thm)],[551, 550])).
% 6.65/4.60 tff(553,plain,
% 6.65/4.60 (~v111(constB79)),
% 6.65/4.60 inference(unit_resolution,[status(thm)],[552, 538])).
% 6.65/4.60 tff(554,plain,
% 6.65/4.60 (^[VarCurr: $i] : refl((v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0))))) <=> (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0))))))),
% 6.65/4.60 inference(bind,[status(th)],[])).
% 6.65/4.60 tff(555,plain,
% 6.65/4.60 (![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0))))) <=> ![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))),
% 6.65/4.60 inference(quant_intro,[status(thm)],[554])).
% 6.65/4.60 tff(556,plain,
% 6.65/4.60 (^[VarCurr: $i] : rewrite((v111(VarCurr) | ((v127(VarCurr, bitIndex2) <=> v130(VarCurr, bitIndex2)) & (v127(VarCurr, bitIndex1) <=> v130(VarCurr, bitIndex1)) & (v127(VarCurr, bitIndex0) <=> v130(VarCurr, bitIndex0)))) <=> (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0))))))),
% 6.65/4.60 inference(bind,[status(th)],[])).
% 6.65/4.60 tff(557,plain,
% 6.65/4.60 (![VarCurr: $i] : (v111(VarCurr) | ((v127(VarCurr, bitIndex2) <=> v130(VarCurr, bitIndex2)) & (v127(VarCurr, bitIndex1) <=> v130(VarCurr, bitIndex1)) & (v127(VarCurr, bitIndex0) <=> v130(VarCurr, bitIndex0)))) <=> ![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))),
% 6.65/4.60 inference(quant_intro,[status(thm)],[556])).
% 6.65/4.60 tff(558,plain,
% 6.65/4.60 (![VarCurr: $i] : (v111(VarCurr) | ((v127(VarCurr, bitIndex2) <=> v130(VarCurr, bitIndex2)) & (v127(VarCurr, bitIndex1) <=> v130(VarCurr, bitIndex1)) & (v127(VarCurr, bitIndex0) <=> v130(VarCurr, bitIndex0)))) <=> ![VarCurr: $i] : (v111(VarCurr) | ((v127(VarCurr, bitIndex2) <=> v130(VarCurr, bitIndex2)) & (v127(VarCurr, bitIndex1) <=> v130(VarCurr, bitIndex1)) & (v127(VarCurr, bitIndex0) <=> v130(VarCurr, bitIndex0))))),
% 6.65/4.60 inference(rewrite,[status(thm)],[])).
% 6.65/4.60 tff(559,plain,
% 6.65/4.60 (^[VarCurr: $i] : trans(monotonicity(rewrite((((v127(VarCurr, bitIndex2) <=> v130(VarCurr, bitIndex2)) & (v127(VarCurr, bitIndex1) <=> v130(VarCurr, bitIndex1))) & (v127(VarCurr, bitIndex0) <=> v130(VarCurr, bitIndex0))) <=> ((v127(VarCurr, bitIndex2) <=> v130(VarCurr, bitIndex2)) & (v127(VarCurr, bitIndex1) <=> v130(VarCurr, bitIndex1)) & (v127(VarCurr, bitIndex0) <=> v130(VarCurr, bitIndex0)))), (((~v111(VarCurr)) => (((v127(VarCurr, bitIndex2) <=> v130(VarCurr, bitIndex2)) & (v127(VarCurr, bitIndex1) <=> v130(VarCurr, bitIndex1))) & (v127(VarCurr, bitIndex0) <=> v130(VarCurr, bitIndex0)))) <=> ((~v111(VarCurr)) => ((v127(VarCurr, bitIndex2) <=> v130(VarCurr, bitIndex2)) & (v127(VarCurr, bitIndex1) <=> v130(VarCurr, bitIndex1)) & (v127(VarCurr, bitIndex0) <=> v130(VarCurr, bitIndex0)))))), rewrite(((~v111(VarCurr)) => ((v127(VarCurr, bitIndex2) <=> v130(VarCurr, bitIndex2)) & (v127(VarCurr, bitIndex1) <=> v130(VarCurr, bitIndex1)) & (v127(VarCurr, bitIndex0) <=> v130(VarCurr, bitIndex0)))) <=> (v111(VarCurr) | ((v127(VarCurr, bitIndex2) <=> v130(VarCurr, bitIndex2)) & (v127(VarCurr, bitIndex1) <=> v130(VarCurr, bitIndex1)) & (v127(VarCurr, bitIndex0) <=> v130(VarCurr, bitIndex0))))), (((~v111(VarCurr)) => (((v127(VarCurr, bitIndex2) <=> v130(VarCurr, bitIndex2)) & (v127(VarCurr, bitIndex1) <=> v130(VarCurr, bitIndex1))) & (v127(VarCurr, bitIndex0) <=> v130(VarCurr, bitIndex0)))) <=> (v111(VarCurr) | ((v127(VarCurr, bitIndex2) <=> v130(VarCurr, bitIndex2)) & (v127(VarCurr, bitIndex1) <=> v130(VarCurr, bitIndex1)) & (v127(VarCurr, bitIndex0) <=> v130(VarCurr, bitIndex0))))))),
% 6.65/4.60 inference(bind,[status(th)],[])).
% 6.65/4.60 tff(560,plain,
% 6.65/4.60 (![VarCurr: $i] : ((~v111(VarCurr)) => (((v127(VarCurr, bitIndex2) <=> v130(VarCurr, bitIndex2)) & (v127(VarCurr, bitIndex1) <=> v130(VarCurr, bitIndex1))) & (v127(VarCurr, bitIndex0) <=> v130(VarCurr, bitIndex0)))) <=> ![VarCurr: $i] : (v111(VarCurr) | ((v127(VarCurr, bitIndex2) <=> v130(VarCurr, bitIndex2)) & (v127(VarCurr, bitIndex1) <=> v130(VarCurr, bitIndex1)) & (v127(VarCurr, bitIndex0) <=> v130(VarCurr, bitIndex0))))),
% 6.65/4.60 inference(quant_intro,[status(thm)],[559])).
% 6.65/4.60 tff(561,axiom,(![VarCurr: $i] : ((~v111(VarCurr)) => (((v127(VarCurr, bitIndex2) <=> v130(VarCurr, bitIndex2)) & (v127(VarCurr, bitIndex1) <=> v130(VarCurr, bitIndex1))) & (v127(VarCurr, bitIndex0) <=> v130(VarCurr, bitIndex0))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1')).
% 6.65/4.60 tff(562,plain,
% 6.65/4.60 (![VarCurr: $i] : (v111(VarCurr) | ((v127(VarCurr, bitIndex2) <=> v130(VarCurr, bitIndex2)) & (v127(VarCurr, bitIndex1) <=> v130(VarCurr, bitIndex1)) & (v127(VarCurr, bitIndex0) <=> v130(VarCurr, bitIndex0))))),
% 6.65/4.60 inference(modus_ponens,[status(thm)],[561, 560])).
% 6.65/4.60 tff(563,plain,
% 6.65/4.60 (![VarCurr: $i] : (v111(VarCurr) | ((v127(VarCurr, bitIndex2) <=> v130(VarCurr, bitIndex2)) & (v127(VarCurr, bitIndex1) <=> v130(VarCurr, bitIndex1)) & (v127(VarCurr, bitIndex0) <=> v130(VarCurr, bitIndex0))))),
% 6.65/4.60 inference(modus_ponens,[status(thm)],[562, 558])).
% 6.65/4.60 tff(564,plain,(
% 6.65/4.60 ![VarCurr: $i] : (v111(VarCurr) | ((v127(VarCurr, bitIndex2) <=> v130(VarCurr, bitIndex2)) & (v127(VarCurr, bitIndex1) <=> v130(VarCurr, bitIndex1)) & (v127(VarCurr, bitIndex0) <=> v130(VarCurr, bitIndex0))))),
% 6.65/4.60 inference(skolemize,[status(sab)],[563])).
% 6.65/4.60 tff(565,plain,
% 6.65/4.60 (![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))),
% 6.65/4.60 inference(modus_ponens,[status(thm)],[564, 557])).
% 6.65/4.60 tff(566,plain,
% 6.65/4.60 (![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))),
% 6.65/4.60 inference(modus_ponens,[status(thm)],[565, 555])).
% 6.65/4.60 tff(567,plain,
% 6.65/4.60 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB79) | (~(((~v127(constB79, bitIndex2)) <=> v130(constB79, bitIndex2)) | ((~v127(constB79, bitIndex1)) <=> v130(constB79, bitIndex1)) | ((~v127(constB79, bitIndex0)) <=> v130(constB79, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB79) | (~(((~v127(constB79, bitIndex2)) <=> v130(constB79, bitIndex2)) | ((~v127(constB79, bitIndex1)) <=> v130(constB79, bitIndex1)) | ((~v127(constB79, bitIndex0)) <=> v130(constB79, bitIndex0)))))),
% 6.65/4.60 inference(rewrite,[status(thm)],[])).
% 6.65/4.60 tff(568,plain,
% 6.65/4.60 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB79) | (~(((~v127(constB79, bitIndex2)) <=> v130(constB79, bitIndex2)) | ((~v127(constB79, bitIndex1)) <=> v130(constB79, bitIndex1)) | ((~v127(constB79, bitIndex0)) <=> v130(constB79, bitIndex0)))))),
% 6.65/4.60 inference(quant_inst,[status(thm)],[])).
% 6.65/4.60 tff(569,plain,
% 6.65/4.60 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB79) | (~(((~v127(constB79, bitIndex2)) <=> v130(constB79, bitIndex2)) | ((~v127(constB79, bitIndex1)) <=> v130(constB79, bitIndex1)) | ((~v127(constB79, bitIndex0)) <=> v130(constB79, bitIndex0))))),
% 6.65/4.60 inference(modus_ponens,[status(thm)],[568, 567])).
% 6.69/4.60 tff(570,plain,
% 6.69/4.60 (v111(constB79) | (~(((~v127(constB79, bitIndex2)) <=> v130(constB79, bitIndex2)) | ((~v127(constB79, bitIndex1)) <=> v130(constB79, bitIndex1)) | ((~v127(constB79, bitIndex0)) <=> v130(constB79, bitIndex0))))),
% 6.69/4.60 inference(unit_resolution,[status(thm)],[569, 566])).
% 6.69/4.60 tff(571,plain,
% 6.69/4.60 (~(((~v127(constB79, bitIndex2)) <=> v130(constB79, bitIndex2)) | ((~v127(constB79, bitIndex1)) <=> v130(constB79, bitIndex1)) | ((~v127(constB79, bitIndex0)) <=> v130(constB79, bitIndex0)))),
% 6.69/4.60 inference(unit_resolution,[status(thm)],[570, 553])).
% 6.69/4.60 tff(572,plain,
% 6.69/4.60 ((((~v127(constB79, bitIndex2)) <=> v130(constB79, bitIndex2)) | ((~v127(constB79, bitIndex1)) <=> v130(constB79, bitIndex1)) | ((~v127(constB79, bitIndex0)) <=> v130(constB79, bitIndex0))) | (~((~v127(constB79, bitIndex2)) <=> v130(constB79, bitIndex2)))),
% 6.69/4.60 inference(tautology,[status(thm)],[])).
% 6.69/4.60 tff(573,plain,
% 6.69/4.60 (~((~v127(constB79, bitIndex2)) <=> v130(constB79, bitIndex2))),
% 6.69/4.60 inference(unit_resolution,[status(thm)],[572, 571])).
% 6.69/4.60 tff(574,plain,
% 6.69/4.60 (^[VarCurr: $i] : refl((v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1))))) <=> (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1))))))),
% 6.69/4.60 inference(bind,[status(th)],[])).
% 6.69/4.60 tff(575,plain,
% 6.69/4.60 (![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1))))) <=> ![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))),
% 6.69/4.60 inference(quant_intro,[status(thm)],[574])).
% 6.69/4.60 tff(576,plain,
% 6.69/4.60 (^[VarCurr: $i] : rewrite((v121(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & v90(VarCurr, bitIndex1) & (~v90(VarCurr, bitIndex0)))) <=> (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1))))))),
% 6.69/4.60 inference(bind,[status(th)],[])).
% 6.69/4.60 tff(577,plain,
% 6.69/4.60 (![VarCurr: $i] : (v121(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & v90(VarCurr, bitIndex1) & (~v90(VarCurr, bitIndex0)))) <=> ![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))),
% 6.69/4.60 inference(quant_intro,[status(thm)],[576])).
% 6.69/4.60 tff(578,plain,
% 6.69/4.60 (![VarCurr: $i] : (v121(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & v90(VarCurr, bitIndex1) & (~v90(VarCurr, bitIndex0)))) <=> ![VarCurr: $i] : (v121(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & v90(VarCurr, bitIndex1) & (~v90(VarCurr, bitIndex0))))),
% 6.69/4.60 inference(rewrite,[status(thm)],[])).
% 6.69/4.60 tff(579,plain,
% 6.69/4.60 (^[VarCurr: $i] : rewrite((v121(VarCurr) <=> (((v90(VarCurr, bitIndex2) <=> $false) & (v90(VarCurr, bitIndex1) <=> $true)) & (v90(VarCurr, bitIndex0) <=> $false))) <=> (v121(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & v90(VarCurr, bitIndex1) & (~v90(VarCurr, bitIndex0)))))),
% 6.69/4.60 inference(bind,[status(th)],[])).
% 6.69/4.60 tff(580,plain,
% 6.69/4.60 (![VarCurr: $i] : (v121(VarCurr) <=> (((v90(VarCurr, bitIndex2) <=> $false) & (v90(VarCurr, bitIndex1) <=> $true)) & (v90(VarCurr, bitIndex0) <=> $false))) <=> ![VarCurr: $i] : (v121(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & v90(VarCurr, bitIndex1) & (~v90(VarCurr, bitIndex0))))),
% 6.69/4.60 inference(quant_intro,[status(thm)],[579])).
% 6.69/4.60 tff(581,axiom,(![VarCurr: $i] : (v121(VarCurr) <=> (((v90(VarCurr, bitIndex2) <=> $false) & (v90(VarCurr, bitIndex1) <=> $true)) & (v90(VarCurr, bitIndex0) <=> $false)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_4')).
% 6.69/4.60 tff(582,plain,
% 6.69/4.60 (![VarCurr: $i] : (v121(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & v90(VarCurr, bitIndex1) & (~v90(VarCurr, bitIndex0))))),
% 6.69/4.60 inference(modus_ponens,[status(thm)],[581, 580])).
% 6.69/4.60 tff(583,plain,
% 6.69/4.60 (![VarCurr: $i] : (v121(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & v90(VarCurr, bitIndex1) & (~v90(VarCurr, bitIndex0))))),
% 6.69/4.60 inference(modus_ponens,[status(thm)],[582, 578])).
% 6.69/4.60 tff(584,plain,(
% 6.69/4.60 ![VarCurr: $i] : (v121(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & v90(VarCurr, bitIndex1) & (~v90(VarCurr, bitIndex0))))),
% 6.69/4.60 inference(skolemize,[status(sab)],[583])).
% 6.69/4.60 tff(585,plain,
% 6.69/4.60 (![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))),
% 6.69/4.60 inference(modus_ponens,[status(thm)],[584, 577])).
% 6.69/4.60 tff(586,plain,
% 6.69/4.60 (![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))),
% 6.69/4.60 inference(modus_ponens,[status(thm)],[585, 575])).
% 6.69/4.60 tff(587,plain,
% 6.69/4.60 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB79) <=> (~(v90(constB79, bitIndex2) | v90(constB79, bitIndex0) | (~v90(constB79, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB79) <=> (~(v90(constB79, bitIndex2) | v90(constB79, bitIndex0) | (~v90(constB79, bitIndex1))))))),
% 6.69/4.60 inference(rewrite,[status(thm)],[])).
% 6.69/4.60 tff(588,plain,
% 6.69/4.60 ((v121(constB79) <=> (~(v90(constB79, bitIndex0) | v90(constB79, bitIndex2) | (~v90(constB79, bitIndex1))))) <=> (v121(constB79) <=> (~(v90(constB79, bitIndex2) | v90(constB79, bitIndex0) | (~v90(constB79, bitIndex1)))))),
% 6.69/4.60 inference(rewrite,[status(thm)],[])).
% 6.69/4.60 tff(589,plain,
% 6.69/4.60 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB79) <=> (~(v90(constB79, bitIndex0) | v90(constB79, bitIndex2) | (~v90(constB79, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB79) <=> (~(v90(constB79, bitIndex2) | v90(constB79, bitIndex0) | (~v90(constB79, bitIndex1))))))),
% 6.69/4.60 inference(monotonicity,[status(thm)],[588])).
% 6.69/4.60 tff(590,plain,
% 6.69/4.60 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB79) <=> (~(v90(constB79, bitIndex0) | v90(constB79, bitIndex2) | (~v90(constB79, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB79) <=> (~(v90(constB79, bitIndex2) | v90(constB79, bitIndex0) | (~v90(constB79, bitIndex1))))))),
% 6.69/4.60 inference(transitivity,[status(thm)],[589, 587])).
% 6.69/4.60 tff(591,plain,
% 6.69/4.60 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB79) <=> (~(v90(constB79, bitIndex0) | v90(constB79, bitIndex2) | (~v90(constB79, bitIndex1)))))),
% 6.69/4.60 inference(quant_inst,[status(thm)],[])).
% 6.69/4.60 tff(592,plain,
% 6.69/4.60 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB79) <=> (~(v90(constB79, bitIndex2) | v90(constB79, bitIndex0) | (~v90(constB79, bitIndex1)))))),
% 6.69/4.60 inference(modus_ponens,[status(thm)],[591, 590])).
% 6.69/4.60 tff(593,plain,
% 6.69/4.60 (v121(constB79) <=> (~(v90(constB79, bitIndex2) | v90(constB79, bitIndex0) | (~v90(constB79, bitIndex1))))),
% 6.69/4.60 inference(unit_resolution,[status(thm)],[592, 586])).
% 6.69/4.60 tff(594,plain,
% 6.69/4.60 (nextState(constB78, constB79) <=> nextState(constB78, constB79)),
% 6.69/4.60 inference(rewrite,[status(thm)],[])).
% 6.69/4.60 tff(595,axiom,(nextState(constB78, constB79)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_78')).
% 6.69/4.60 tff(596,plain,
% 6.69/4.60 (nextState(constB78, constB79)),
% 6.69/4.60 inference(modus_ponens,[status(thm)],[595, 594])).
% 6.69/4.60 tff(597,plain,
% 6.69/4.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB78, constB79)) | (v100(constB79) <=> (~((~v101(constB79)) | (~v110(constB79))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB78, constB79)) | (v100(constB79) <=> (~((~v101(constB79)) | (~v110(constB79))))))),
% 6.69/4.60 inference(rewrite,[status(thm)],[])).
% 6.69/4.60 tff(598,plain,
% 6.69/4.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB78, constB79)) | (v100(constB79) <=> (~((~v101(constB79)) | (~v110(constB79))))))),
% 6.69/4.60 inference(quant_inst,[status(thm)],[])).
% 6.69/4.60 tff(599,plain,
% 6.69/4.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB78, constB79)) | (v100(constB79) <=> (~((~v101(constB79)) | (~v110(constB79)))))),
% 6.69/4.60 inference(modus_ponens,[status(thm)],[598, 597])).
% 6.69/4.60 tff(600,plain,
% 6.69/4.60 (v100(constB79) <=> (~((~v101(constB79)) | (~v110(constB79))))),
% 6.69/4.60 inference(unit_resolution,[status(thm)],[599, 596, 445])).
% 6.69/4.60 tff(601,plain,
% 6.69/4.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB78, constB79)) | (v101(constB79) <=> (~((~v1(constB79)) | (~v102(constB79))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB78, constB79)) | (v101(constB79) <=> (~((~v1(constB79)) | (~v102(constB79))))))),
% 6.69/4.60 inference(rewrite,[status(thm)],[])).
% 6.69/4.60 tff(602,plain,
% 6.69/4.60 (((~nextState(constB78, constB79)) | (v101(constB79) <=> (~((~v102(constB79)) | (~v1(constB79)))))) <=> ((~nextState(constB78, constB79)) | (v101(constB79) <=> (~((~v1(constB79)) | (~v102(constB79))))))),
% 6.69/4.60 inference(rewrite,[status(thm)],[])).
% 6.69/4.60 tff(603,plain,
% 6.69/4.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB78, constB79)) | (v101(constB79) <=> (~((~v102(constB79)) | (~v1(constB79))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB78, constB79)) | (v101(constB79) <=> (~((~v1(constB79)) | (~v102(constB79)))))))),
% 6.69/4.60 inference(monotonicity,[status(thm)],[602])).
% 6.69/4.60 tff(604,plain,
% 6.69/4.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB78, constB79)) | (v101(constB79) <=> (~((~v102(constB79)) | (~v1(constB79))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB78, constB79)) | (v101(constB79) <=> (~((~v1(constB79)) | (~v102(constB79))))))),
% 6.69/4.60 inference(transitivity,[status(thm)],[603, 601])).
% 6.69/4.60 tff(605,plain,
% 6.69/4.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB78, constB79)) | (v101(constB79) <=> (~((~v102(constB79)) | (~v1(constB79))))))),
% 6.69/4.60 inference(quant_inst,[status(thm)],[])).
% 6.69/4.60 tff(606,plain,
% 6.69/4.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB78, constB79)) | (v101(constB79) <=> (~((~v1(constB79)) | (~v102(constB79)))))),
% 6.69/4.60 inference(modus_ponens,[status(thm)],[605, 604])).
% 6.69/4.60 tff(607,plain,
% 6.69/4.60 (v101(constB79) <=> (~((~v1(constB79)) | (~v102(constB79))))),
% 6.69/4.60 inference(unit_resolution,[status(thm)],[606, 596, 465])).
% 6.69/4.60 tff(608,plain,
% 6.69/4.60 ((~v1(constB79)) <=> (~v1(constB79))),
% 6.69/4.60 inference(rewrite,[status(thm)],[])).
% 6.69/4.60 tff(609,axiom,(~v1(constB79)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_79')).
% 6.69/4.60 tff(610,plain,
% 6.69/4.60 (~v1(constB79)),
% 6.69/4.60 inference(modus_ponens,[status(thm)],[609, 608])).
% 6.69/4.60 tff(611,plain,
% 6.69/4.60 (((~v1(constB79)) | (~v102(constB79))) | v1(constB79)),
% 6.69/4.60 inference(tautology,[status(thm)],[])).
% 6.69/4.60 tff(612,plain,
% 6.69/4.60 ((~v1(constB79)) | (~v102(constB79))),
% 6.69/4.60 inference(unit_resolution,[status(thm)],[611, 610])).
% 6.69/4.60 tff(613,plain,
% 6.69/4.60 ((~(v101(constB79) <=> (~((~v1(constB79)) | (~v102(constB79)))))) | (~v101(constB79)) | (~((~v1(constB79)) | (~v102(constB79))))),
% 6.69/4.60 inference(tautology,[status(thm)],[])).
% 6.69/4.60 tff(614,plain,
% 6.69/4.60 ((~(v101(constB79) <=> (~((~v1(constB79)) | (~v102(constB79)))))) | (~v101(constB79))),
% 6.69/4.60 inference(unit_resolution,[status(thm)],[613, 612])).
% 6.69/4.60 tff(615,plain,
% 6.69/4.60 (~v101(constB79)),
% 6.69/4.60 inference(unit_resolution,[status(thm)],[614, 607])).
% 6.69/4.60 tff(616,plain,
% 6.69/4.60 (((~v101(constB79)) | (~v110(constB79))) | v101(constB79)),
% 6.69/4.60 inference(tautology,[status(thm)],[])).
% 6.69/4.60 tff(617,plain,
% 6.69/4.60 ((~v101(constB79)) | (~v110(constB79))),
% 6.69/4.60 inference(unit_resolution,[status(thm)],[616, 615])).
% 6.69/4.60 tff(618,plain,
% 6.69/4.60 ((~(v100(constB79) <=> (~((~v101(constB79)) | (~v110(constB79)))))) | (~v100(constB79)) | (~((~v101(constB79)) | (~v110(constB79))))),
% 6.69/4.60 inference(tautology,[status(thm)],[])).
% 6.69/4.60 tff(619,plain,
% 6.69/4.60 (~v100(constB79)),
% 6.69/4.60 inference(unit_resolution,[status(thm)],[618, 617, 600])).
% 6.69/4.60 tff(620,plain,
% 6.69/4.60 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB79) | (~nextState(constB78, constB79)) | (~(((~v90(constB79, bitIndex1)) <=> v90(constB78, bitIndex1)) | ((~v90(constB79, bitIndex2)) <=> v90(constB78, bitIndex2)) | ((~v90(constB79, bitIndex0)) <=> v90(constB78, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB79) | (~nextState(constB78, constB79)) | (~(((~v90(constB79, bitIndex1)) <=> v90(constB78, bitIndex1)) | ((~v90(constB79, bitIndex2)) <=> v90(constB78, bitIndex2)) | ((~v90(constB79, bitIndex0)) <=> v90(constB78, bitIndex0)))))),
% 6.69/4.60 inference(rewrite,[status(thm)],[])).
% 6.69/4.60 tff(621,plain,
% 6.69/4.60 ((v100(constB79) | (~nextState(constB78, constB79)) | (~(((~v90(constB79, bitIndex2)) <=> v90(constB78, bitIndex2)) | ((~v90(constB79, bitIndex1)) <=> v90(constB78, bitIndex1)) | ((~v90(constB79, bitIndex0)) <=> v90(constB78, bitIndex0))))) <=> (v100(constB79) | (~nextState(constB78, constB79)) | (~(((~v90(constB79, bitIndex1)) <=> v90(constB78, bitIndex1)) | ((~v90(constB79, bitIndex2)) <=> v90(constB78, bitIndex2)) | ((~v90(constB79, bitIndex0)) <=> v90(constB78, bitIndex0)))))),
% 6.69/4.60 inference(rewrite,[status(thm)],[])).
% 6.69/4.60 tff(622,plain,
% 6.69/4.60 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB79) | (~nextState(constB78, constB79)) | (~(((~v90(constB79, bitIndex2)) <=> v90(constB78, bitIndex2)) | ((~v90(constB79, bitIndex1)) <=> v90(constB78, bitIndex1)) | ((~v90(constB79, bitIndex0)) <=> v90(constB78, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB79) | (~nextState(constB78, constB79)) | (~(((~v90(constB79, bitIndex1)) <=> v90(constB78, bitIndex1)) | ((~v90(constB79, bitIndex2)) <=> v90(constB78, bitIndex2)) | ((~v90(constB79, bitIndex0)) <=> v90(constB78, bitIndex0))))))),
% 6.69/4.60 inference(monotonicity,[status(thm)],[621])).
% 6.69/4.60 tff(623,plain,
% 6.69/4.60 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB79) | (~nextState(constB78, constB79)) | (~(((~v90(constB79, bitIndex2)) <=> v90(constB78, bitIndex2)) | ((~v90(constB79, bitIndex1)) <=> v90(constB78, bitIndex1)) | ((~v90(constB79, bitIndex0)) <=> v90(constB78, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB79) | (~nextState(constB78, constB79)) | (~(((~v90(constB79, bitIndex1)) <=> v90(constB78, bitIndex1)) | ((~v90(constB79, bitIndex2)) <=> v90(constB78, bitIndex2)) | ((~v90(constB79, bitIndex0)) <=> v90(constB78, bitIndex0)))))),
% 6.69/4.61 inference(transitivity,[status(thm)],[622, 620])).
% 6.69/4.61 tff(624,plain,
% 6.69/4.61 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB79) | (~nextState(constB78, constB79)) | (~(((~v90(constB79, bitIndex2)) <=> v90(constB78, bitIndex2)) | ((~v90(constB79, bitIndex1)) <=> v90(constB78, bitIndex1)) | ((~v90(constB79, bitIndex0)) <=> v90(constB78, bitIndex0)))))),
% 6.69/4.61 inference(quant_inst,[status(thm)],[])).
% 6.69/4.61 tff(625,plain,
% 6.69/4.61 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB79) | (~nextState(constB78, constB79)) | (~(((~v90(constB79, bitIndex1)) <=> v90(constB78, bitIndex1)) | ((~v90(constB79, bitIndex2)) <=> v90(constB78, bitIndex2)) | ((~v90(constB79, bitIndex0)) <=> v90(constB78, bitIndex0))))),
% 6.69/4.61 inference(modus_ponens,[status(thm)],[624, 623])).
% 6.69/4.61 tff(626,plain,
% 6.69/4.61 (v100(constB79) | (~(((~v90(constB79, bitIndex1)) <=> v90(constB78, bitIndex1)) | ((~v90(constB79, bitIndex2)) <=> v90(constB78, bitIndex2)) | ((~v90(constB79, bitIndex0)) <=> v90(constB78, bitIndex0))))),
% 6.69/4.61 inference(unit_resolution,[status(thm)],[625, 596, 494])).
% 6.69/4.61 tff(627,plain,
% 6.69/4.61 (~(((~v90(constB79, bitIndex1)) <=> v90(constB78, bitIndex1)) | ((~v90(constB79, bitIndex2)) <=> v90(constB78, bitIndex2)) | ((~v90(constB79, bitIndex0)) <=> v90(constB78, bitIndex0)))),
% 6.69/4.61 inference(unit_resolution,[status(thm)],[626, 619])).
% 6.69/4.61 tff(628,plain,
% 6.69/4.61 ((((~v90(constB79, bitIndex1)) <=> v90(constB78, bitIndex1)) | ((~v90(constB79, bitIndex2)) <=> v90(constB78, bitIndex2)) | ((~v90(constB79, bitIndex0)) <=> v90(constB78, bitIndex0))) | (~((~v90(constB79, bitIndex2)) <=> v90(constB78, bitIndex2)))),
% 6.69/4.61 inference(tautology,[status(thm)],[])).
% 6.69/4.61 tff(629,plain,
% 6.69/4.61 (~((~v90(constB79, bitIndex2)) <=> v90(constB78, bitIndex2))),
% 6.69/4.61 inference(unit_resolution,[status(thm)],[628, 627])).
% 6.69/4.61 tff(630,plain,
% 6.69/4.61 (nextState(constB77, constB78) <=> nextState(constB77, constB78)),
% 6.69/4.61 inference(rewrite,[status(thm)],[])).
% 6.69/4.61 tff(631,axiom,(nextState(constB77, constB78)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_77')).
% 6.69/4.61 tff(632,plain,
% 6.69/4.61 (nextState(constB77, constB78)),
% 6.69/4.61 inference(modus_ponens,[status(thm)],[631, 630])).
% 6.69/4.61 tff(633,plain,
% 6.69/4.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB77, constB78)) | (~(((~v129(constB78, bitIndex2)) <=> v127(constB77, bitIndex2)) | ((~v129(constB78, bitIndex1)) <=> v127(constB77, bitIndex1)) | ((~v129(constB78, bitIndex0)) <=> v127(constB77, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB77, constB78)) | (~(((~v129(constB78, bitIndex2)) <=> v127(constB77, bitIndex2)) | ((~v129(constB78, bitIndex1)) <=> v127(constB77, bitIndex1)) | ((~v129(constB78, bitIndex0)) <=> v127(constB77, bitIndex0)))))),
% 6.69/4.61 inference(rewrite,[status(thm)],[])).
% 6.69/4.61 tff(634,plain,
% 6.69/4.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB77, constB78)) | (~(((~v129(constB78, bitIndex2)) <=> v127(constB77, bitIndex2)) | ((~v129(constB78, bitIndex1)) <=> v127(constB77, bitIndex1)) | ((~v129(constB78, bitIndex0)) <=> v127(constB77, bitIndex0)))))),
% 6.69/4.61 inference(quant_inst,[status(thm)],[])).
% 6.69/4.61 tff(635,plain,
% 6.69/4.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB77, constB78)) | (~(((~v129(constB78, bitIndex2)) <=> v127(constB77, bitIndex2)) | ((~v129(constB78, bitIndex1)) <=> v127(constB77, bitIndex1)) | ((~v129(constB78, bitIndex0)) <=> v127(constB77, bitIndex0))))),
% 6.69/4.61 inference(modus_ponens,[status(thm)],[634, 633])).
% 6.69/4.61 tff(636,plain,
% 6.69/4.61 (~(((~v129(constB78, bitIndex2)) <=> v127(constB77, bitIndex2)) | ((~v129(constB78, bitIndex1)) <=> v127(constB77, bitIndex1)) | ((~v129(constB78, bitIndex0)) <=> v127(constB77, bitIndex0)))),
% 6.69/4.61 inference(unit_resolution,[status(thm)],[635, 632, 517])).
% 6.69/4.61 tff(637,plain,
% 6.69/4.61 ((((~v129(constB78, bitIndex2)) <=> v127(constB77, bitIndex2)) | ((~v129(constB78, bitIndex1)) <=> v127(constB77, bitIndex1)) | ((~v129(constB78, bitIndex0)) <=> v127(constB77, bitIndex0))) | (~((~v129(constB78, bitIndex2)) <=> v127(constB77, bitIndex2)))),
% 6.69/4.61 inference(tautology,[status(thm)],[])).
% 6.69/4.61 tff(638,plain,
% 6.69/4.61 (~((~v129(constB78, bitIndex2)) <=> v127(constB77, bitIndex2))),
% 6.69/4.61 inference(unit_resolution,[status(thm)],[637, 636])).
% 6.69/4.61 tff(639,plain,
% 6.69/4.61 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB77) <=> v26(constB77))),
% 6.69/4.61 inference(quant_inst,[status(thm)],[])).
% 6.69/4.61 tff(640,plain,
% 6.69/4.61 (v111(constB77) <=> v26(constB77)),
% 6.69/4.61 inference(unit_resolution,[status(thm)],[639, 536])).
% 6.69/4.61 tff(641,plain,
% 6.69/4.61 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB77))),
% 6.69/4.61 inference(quant_inst,[status(thm)],[])).
% 6.69/4.61 tff(642,plain,
% 6.69/4.61 (~v26(constB77)),
% 6.69/4.61 inference(unit_resolution,[status(thm)],[641, 548])).
% 6.69/4.61 tff(643,plain,
% 6.69/4.61 ((~(v111(constB77) <=> v26(constB77))) | (~v111(constB77)) | v26(constB77)),
% 6.69/4.61 inference(tautology,[status(thm)],[])).
% 6.69/4.61 tff(644,plain,
% 6.69/4.61 ((~(v111(constB77) <=> v26(constB77))) | (~v111(constB77))),
% 6.69/4.61 inference(unit_resolution,[status(thm)],[643, 642])).
% 6.69/4.61 tff(645,plain,
% 6.69/4.61 (~v111(constB77)),
% 6.69/4.61 inference(unit_resolution,[status(thm)],[644, 640])).
% 6.69/4.61 tff(646,plain,
% 6.69/4.61 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB77) | (~(((~v127(constB77, bitIndex2)) <=> v130(constB77, bitIndex2)) | ((~v127(constB77, bitIndex1)) <=> v130(constB77, bitIndex1)) | ((~v127(constB77, bitIndex0)) <=> v130(constB77, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB77) | (~(((~v127(constB77, bitIndex2)) <=> v130(constB77, bitIndex2)) | ((~v127(constB77, bitIndex1)) <=> v130(constB77, bitIndex1)) | ((~v127(constB77, bitIndex0)) <=> v130(constB77, bitIndex0)))))),
% 6.69/4.61 inference(rewrite,[status(thm)],[])).
% 6.69/4.61 tff(647,plain,
% 6.69/4.61 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB77) | (~(((~v127(constB77, bitIndex2)) <=> v130(constB77, bitIndex2)) | ((~v127(constB77, bitIndex1)) <=> v130(constB77, bitIndex1)) | ((~v127(constB77, bitIndex0)) <=> v130(constB77, bitIndex0)))))),
% 6.69/4.61 inference(quant_inst,[status(thm)],[])).
% 6.69/4.61 tff(648,plain,
% 6.69/4.61 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB77) | (~(((~v127(constB77, bitIndex2)) <=> v130(constB77, bitIndex2)) | ((~v127(constB77, bitIndex1)) <=> v130(constB77, bitIndex1)) | ((~v127(constB77, bitIndex0)) <=> v130(constB77, bitIndex0))))),
% 6.69/4.61 inference(modus_ponens,[status(thm)],[647, 646])).
% 6.69/4.61 tff(649,plain,
% 6.69/4.61 (v111(constB77) | (~(((~v127(constB77, bitIndex2)) <=> v130(constB77, bitIndex2)) | ((~v127(constB77, bitIndex1)) <=> v130(constB77, bitIndex1)) | ((~v127(constB77, bitIndex0)) <=> v130(constB77, bitIndex0))))),
% 6.69/4.61 inference(unit_resolution,[status(thm)],[648, 566])).
% 6.69/4.61 tff(650,plain,
% 6.69/4.61 (~(((~v127(constB77, bitIndex2)) <=> v130(constB77, bitIndex2)) | ((~v127(constB77, bitIndex1)) <=> v130(constB77, bitIndex1)) | ((~v127(constB77, bitIndex0)) <=> v130(constB77, bitIndex0)))),
% 6.69/4.61 inference(unit_resolution,[status(thm)],[649, 645])).
% 6.69/4.61 tff(651,plain,
% 6.69/4.61 ((((~v127(constB77, bitIndex2)) <=> v130(constB77, bitIndex2)) | ((~v127(constB77, bitIndex1)) <=> v130(constB77, bitIndex1)) | ((~v127(constB77, bitIndex0)) <=> v130(constB77, bitIndex0))) | (~((~v127(constB77, bitIndex2)) <=> v130(constB77, bitIndex2)))),
% 6.69/4.61 inference(tautology,[status(thm)],[])).
% 6.69/4.61 tff(652,plain,
% 6.69/4.61 (~((~v127(constB77, bitIndex2)) <=> v130(constB77, bitIndex2))),
% 6.69/4.61 inference(unit_resolution,[status(thm)],[651, 650])).
% 6.69/4.61 tff(653,plain,
% 6.69/4.61 (^[VarCurr: $i] : refl((v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0))))) <=> (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0))))))),
% 6.69/4.61 inference(bind,[status(th)],[])).
% 6.69/4.61 tff(654,plain,
% 6.69/4.61 (![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0))))) <=> ![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))),
% 6.69/4.61 inference(quant_intro,[status(thm)],[653])).
% 6.69/4.61 tff(655,plain,
% 6.69/4.61 (^[VarCurr: $i] : rewrite((v120(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & (~v90(VarCurr, bitIndex1)) & v90(VarCurr, bitIndex0))) <=> (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0))))))),
% 6.69/4.61 inference(bind,[status(th)],[])).
% 6.69/4.61 tff(656,plain,
% 6.69/4.61 (![VarCurr: $i] : (v120(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & (~v90(VarCurr, bitIndex1)) & v90(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))),
% 6.69/4.61 inference(quant_intro,[status(thm)],[655])).
% 6.69/4.61 tff(657,plain,
% 6.69/4.61 (![VarCurr: $i] : (v120(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & (~v90(VarCurr, bitIndex1)) & v90(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : (v120(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & (~v90(VarCurr, bitIndex1)) & v90(VarCurr, bitIndex0)))),
% 6.69/4.61 inference(rewrite,[status(thm)],[])).
% 6.69/4.61 tff(658,plain,
% 6.69/4.61 (^[VarCurr: $i] : rewrite((v120(VarCurr) <=> (((v90(VarCurr, bitIndex2) <=> $false) & (v90(VarCurr, bitIndex1) <=> $false)) & (v90(VarCurr, bitIndex0) <=> $true))) <=> (v120(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & (~v90(VarCurr, bitIndex1)) & v90(VarCurr, bitIndex0))))),
% 6.69/4.61 inference(bind,[status(th)],[])).
% 6.69/4.61 tff(659,plain,
% 6.69/4.61 (![VarCurr: $i] : (v120(VarCurr) <=> (((v90(VarCurr, bitIndex2) <=> $false) & (v90(VarCurr, bitIndex1) <=> $false)) & (v90(VarCurr, bitIndex0) <=> $true))) <=> ![VarCurr: $i] : (v120(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & (~v90(VarCurr, bitIndex1)) & v90(VarCurr, bitIndex0)))),
% 6.69/4.61 inference(quant_intro,[status(thm)],[658])).
% 6.69/4.61 tff(660,axiom,(![VarCurr: $i] : (v120(VarCurr) <=> (((v90(VarCurr, bitIndex2) <=> $false) & (v90(VarCurr, bitIndex1) <=> $false)) & (v90(VarCurr, bitIndex0) <=> $true)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_3')).
% 6.69/4.61 tff(661,plain,
% 6.69/4.61 (![VarCurr: $i] : (v120(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & (~v90(VarCurr, bitIndex1)) & v90(VarCurr, bitIndex0)))),
% 6.69/4.61 inference(modus_ponens,[status(thm)],[660, 659])).
% 6.69/4.61 tff(662,plain,
% 6.69/4.61 (![VarCurr: $i] : (v120(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & (~v90(VarCurr, bitIndex1)) & v90(VarCurr, bitIndex0)))),
% 6.69/4.61 inference(modus_ponens,[status(thm)],[661, 657])).
% 6.69/4.61 tff(663,plain,(
% 6.69/4.61 ![VarCurr: $i] : (v120(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & (~v90(VarCurr, bitIndex1)) & v90(VarCurr, bitIndex0)))),
% 6.69/4.61 inference(skolemize,[status(sab)],[662])).
% 6.69/4.61 tff(664,plain,
% 6.69/4.61 (![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))),
% 6.69/4.61 inference(modus_ponens,[status(thm)],[663, 656])).
% 6.69/4.61 tff(665,plain,
% 6.69/4.61 (![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))),
% 6.69/4.61 inference(modus_ponens,[status(thm)],[664, 654])).
% 6.69/4.61 tff(666,plain,
% 6.69/4.61 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB77) <=> (~(v90(constB77, bitIndex1) | v90(constB77, bitIndex2) | (~v90(constB77, bitIndex0)))))),
% 6.69/4.61 inference(quant_inst,[status(thm)],[])).
% 6.69/4.61 tff(667,plain,
% 6.69/4.61 (v120(constB77) <=> (~(v90(constB77, bitIndex1) | v90(constB77, bitIndex2) | (~v90(constB77, bitIndex0))))),
% 6.69/4.61 inference(unit_resolution,[status(thm)],[666, 665])).
% 6.69/4.61 tff(668,plain,
% 6.69/4.61 (nextState(constB76, constB77) <=> nextState(constB76, constB77)),
% 6.69/4.61 inference(rewrite,[status(thm)],[])).
% 6.69/4.61 tff(669,axiom,(nextState(constB76, constB77)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_76')).
% 6.69/4.61 tff(670,plain,
% 6.69/4.61 (nextState(constB76, constB77)),
% 6.69/4.61 inference(modus_ponens,[status(thm)],[669, 668])).
% 6.69/4.61 tff(671,plain,
% 6.69/4.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB76, constB77)) | (v100(constB77) <=> (~((~v101(constB77)) | (~v110(constB77))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB76, constB77)) | (v100(constB77) <=> (~((~v101(constB77)) | (~v110(constB77))))))),
% 6.69/4.61 inference(rewrite,[status(thm)],[])).
% 6.69/4.61 tff(672,plain,
% 6.69/4.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB76, constB77)) | (v100(constB77) <=> (~((~v101(constB77)) | (~v110(constB77))))))),
% 6.69/4.61 inference(quant_inst,[status(thm)],[])).
% 6.69/4.61 tff(673,plain,
% 6.69/4.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB76, constB77)) | (v100(constB77) <=> (~((~v101(constB77)) | (~v110(constB77)))))),
% 6.69/4.61 inference(modus_ponens,[status(thm)],[672, 671])).
% 6.69/4.61 tff(674,plain,
% 6.69/4.61 (v100(constB77) <=> (~((~v101(constB77)) | (~v110(constB77))))),
% 6.69/4.61 inference(unit_resolution,[status(thm)],[673, 670, 445])).
% 6.69/4.61 tff(675,plain,
% 6.69/4.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB76, constB77)) | (v101(constB77) <=> (~((~v1(constB77)) | (~v102(constB77))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB76, constB77)) | (v101(constB77) <=> (~((~v1(constB77)) | (~v102(constB77))))))),
% 6.69/4.61 inference(rewrite,[status(thm)],[])).
% 6.69/4.61 tff(676,plain,
% 6.69/4.61 (((~nextState(constB76, constB77)) | (v101(constB77) <=> (~((~v102(constB77)) | (~v1(constB77)))))) <=> ((~nextState(constB76, constB77)) | (v101(constB77) <=> (~((~v1(constB77)) | (~v102(constB77))))))),
% 6.69/4.61 inference(rewrite,[status(thm)],[])).
% 6.69/4.61 tff(677,plain,
% 6.69/4.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB76, constB77)) | (v101(constB77) <=> (~((~v102(constB77)) | (~v1(constB77))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB76, constB77)) | (v101(constB77) <=> (~((~v1(constB77)) | (~v102(constB77)))))))),
% 6.69/4.61 inference(monotonicity,[status(thm)],[676])).
% 6.69/4.61 tff(678,plain,
% 6.69/4.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB76, constB77)) | (v101(constB77) <=> (~((~v102(constB77)) | (~v1(constB77))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB76, constB77)) | (v101(constB77) <=> (~((~v1(constB77)) | (~v102(constB77))))))),
% 6.69/4.61 inference(transitivity,[status(thm)],[677, 675])).
% 6.69/4.61 tff(679,plain,
% 6.69/4.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB76, constB77)) | (v101(constB77) <=> (~((~v102(constB77)) | (~v1(constB77))))))),
% 6.69/4.61 inference(quant_inst,[status(thm)],[])).
% 6.69/4.61 tff(680,plain,
% 6.69/4.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB76, constB77)) | (v101(constB77) <=> (~((~v1(constB77)) | (~v102(constB77)))))),
% 6.69/4.61 inference(modus_ponens,[status(thm)],[679, 678])).
% 6.69/4.61 tff(681,plain,
% 6.69/4.61 (v101(constB77) <=> (~((~v1(constB77)) | (~v102(constB77))))),
% 6.69/4.61 inference(unit_resolution,[status(thm)],[680, 670, 465])).
% 6.69/4.61 tff(682,plain,
% 6.69/4.61 ((~v1(constB77)) <=> (~v1(constB77))),
% 6.69/4.61 inference(rewrite,[status(thm)],[])).
% 6.69/4.61 tff(683,axiom,(~v1(constB77)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_77')).
% 6.69/4.61 tff(684,plain,
% 6.69/4.61 (~v1(constB77)),
% 6.69/4.61 inference(modus_ponens,[status(thm)],[683, 682])).
% 6.69/4.61 tff(685,plain,
% 6.69/4.61 (((~v1(constB77)) | (~v102(constB77))) | v1(constB77)),
% 6.69/4.61 inference(tautology,[status(thm)],[])).
% 6.69/4.61 tff(686,plain,
% 6.69/4.61 ((~v1(constB77)) | (~v102(constB77))),
% 6.69/4.61 inference(unit_resolution,[status(thm)],[685, 684])).
% 6.69/4.61 tff(687,plain,
% 6.69/4.61 ((~(v101(constB77) <=> (~((~v1(constB77)) | (~v102(constB77)))))) | (~v101(constB77)) | (~((~v1(constB77)) | (~v102(constB77))))),
% 6.69/4.61 inference(tautology,[status(thm)],[])).
% 6.69/4.61 tff(688,plain,
% 6.69/4.61 ((~(v101(constB77) <=> (~((~v1(constB77)) | (~v102(constB77)))))) | (~v101(constB77))),
% 6.69/4.61 inference(unit_resolution,[status(thm)],[687, 686])).
% 6.69/4.61 tff(689,plain,
% 6.69/4.61 (~v101(constB77)),
% 6.69/4.61 inference(unit_resolution,[status(thm)],[688, 681])).
% 6.69/4.61 tff(690,plain,
% 6.69/4.61 (((~v101(constB77)) | (~v110(constB77))) | v101(constB77)),
% 6.69/4.61 inference(tautology,[status(thm)],[])).
% 6.69/4.61 tff(691,plain,
% 6.69/4.61 ((~v101(constB77)) | (~v110(constB77))),
% 6.69/4.61 inference(unit_resolution,[status(thm)],[690, 689])).
% 6.69/4.61 tff(692,plain,
% 6.69/4.61 ((~(v100(constB77) <=> (~((~v101(constB77)) | (~v110(constB77)))))) | (~v100(constB77)) | (~((~v101(constB77)) | (~v110(constB77))))),
% 6.69/4.61 inference(tautology,[status(thm)],[])).
% 6.69/4.61 tff(693,plain,
% 6.69/4.61 (~v100(constB77)),
% 6.69/4.61 inference(unit_resolution,[status(thm)],[692, 691, 674])).
% 6.69/4.61 tff(694,plain,
% 6.69/4.61 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB77) | (~nextState(constB76, constB77)) | (~(((~v90(constB77, bitIndex1)) <=> v90(constB76, bitIndex1)) | ((~v90(constB77, bitIndex2)) <=> v90(constB76, bitIndex2)) | ((~v90(constB77, bitIndex0)) <=> v90(constB76, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB77) | (~nextState(constB76, constB77)) | (~(((~v90(constB77, bitIndex1)) <=> v90(constB76, bitIndex1)) | ((~v90(constB77, bitIndex2)) <=> v90(constB76, bitIndex2)) | ((~v90(constB77, bitIndex0)) <=> v90(constB76, bitIndex0)))))),
% 6.69/4.61 inference(rewrite,[status(thm)],[])).
% 6.69/4.61 tff(695,plain,
% 6.69/4.61 ((v100(constB77) | (~nextState(constB76, constB77)) | (~(((~v90(constB77, bitIndex2)) <=> v90(constB76, bitIndex2)) | ((~v90(constB77, bitIndex1)) <=> v90(constB76, bitIndex1)) | ((~v90(constB77, bitIndex0)) <=> v90(constB76, bitIndex0))))) <=> (v100(constB77) | (~nextState(constB76, constB77)) | (~(((~v90(constB77, bitIndex1)) <=> v90(constB76, bitIndex1)) | ((~v90(constB77, bitIndex2)) <=> v90(constB76, bitIndex2)) | ((~v90(constB77, bitIndex0)) <=> v90(constB76, bitIndex0)))))),
% 6.69/4.61 inference(rewrite,[status(thm)],[])).
% 6.69/4.61 tff(696,plain,
% 6.69/4.61 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB77) | (~nextState(constB76, constB77)) | (~(((~v90(constB77, bitIndex2)) <=> v90(constB76, bitIndex2)) | ((~v90(constB77, bitIndex1)) <=> v90(constB76, bitIndex1)) | ((~v90(constB77, bitIndex0)) <=> v90(constB76, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB77) | (~nextState(constB76, constB77)) | (~(((~v90(constB77, bitIndex1)) <=> v90(constB76, bitIndex1)) | ((~v90(constB77, bitIndex2)) <=> v90(constB76, bitIndex2)) | ((~v90(constB77, bitIndex0)) <=> v90(constB76, bitIndex0))))))),
% 6.69/4.61 inference(monotonicity,[status(thm)],[695])).
% 6.69/4.61 tff(697,plain,
% 6.69/4.61 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB77) | (~nextState(constB76, constB77)) | (~(((~v90(constB77, bitIndex2)) <=> v90(constB76, bitIndex2)) | ((~v90(constB77, bitIndex1)) <=> v90(constB76, bitIndex1)) | ((~v90(constB77, bitIndex0)) <=> v90(constB76, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB77) | (~nextState(constB76, constB77)) | (~(((~v90(constB77, bitIndex1)) <=> v90(constB76, bitIndex1)) | ((~v90(constB77, bitIndex2)) <=> v90(constB76, bitIndex2)) | ((~v90(constB77, bitIndex0)) <=> v90(constB76, bitIndex0)))))),
% 6.69/4.61 inference(transitivity,[status(thm)],[696, 694])).
% 6.69/4.61 tff(698,plain,
% 6.69/4.61 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB77) | (~nextState(constB76, constB77)) | (~(((~v90(constB77, bitIndex2)) <=> v90(constB76, bitIndex2)) | ((~v90(constB77, bitIndex1)) <=> v90(constB76, bitIndex1)) | ((~v90(constB77, bitIndex0)) <=> v90(constB76, bitIndex0)))))),
% 6.69/4.61 inference(quant_inst,[status(thm)],[])).
% 6.69/4.61 tff(699,plain,
% 6.69/4.61 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB77) | (~nextState(constB76, constB77)) | (~(((~v90(constB77, bitIndex1)) <=> v90(constB76, bitIndex1)) | ((~v90(constB77, bitIndex2)) <=> v90(constB76, bitIndex2)) | ((~v90(constB77, bitIndex0)) <=> v90(constB76, bitIndex0))))),
% 6.69/4.61 inference(modus_ponens,[status(thm)],[698, 697])).
% 6.69/4.61 tff(700,plain,
% 6.69/4.61 (v100(constB77) | (~(((~v90(constB77, bitIndex1)) <=> v90(constB76, bitIndex1)) | ((~v90(constB77, bitIndex2)) <=> v90(constB76, bitIndex2)) | ((~v90(constB77, bitIndex0)) <=> v90(constB76, bitIndex0))))),
% 6.69/4.61 inference(unit_resolution,[status(thm)],[699, 670, 494])).
% 6.69/4.61 tff(701,plain,
% 6.69/4.61 (~(((~v90(constB77, bitIndex1)) <=> v90(constB76, bitIndex1)) | ((~v90(constB77, bitIndex2)) <=> v90(constB76, bitIndex2)) | ((~v90(constB77, bitIndex0)) <=> v90(constB76, bitIndex0)))),
% 6.69/4.61 inference(unit_resolution,[status(thm)],[700, 693])).
% 6.69/4.61 tff(702,plain,
% 6.69/4.61 ((((~v90(constB77, bitIndex1)) <=> v90(constB76, bitIndex1)) | ((~v90(constB77, bitIndex2)) <=> v90(constB76, bitIndex2)) | ((~v90(constB77, bitIndex0)) <=> v90(constB76, bitIndex0))) | (~((~v90(constB77, bitIndex2)) <=> v90(constB76, bitIndex2)))),
% 6.69/4.61 inference(tautology,[status(thm)],[])).
% 6.69/4.61 tff(703,plain,
% 6.69/4.61 (~((~v90(constB77, bitIndex2)) <=> v90(constB76, bitIndex2))),
% 6.69/4.61 inference(unit_resolution,[status(thm)],[702, 701])).
% 6.69/4.61 tff(704,plain,
% 6.69/4.61 (nextState(constB75, constB76) <=> nextState(constB75, constB76)),
% 6.69/4.61 inference(rewrite,[status(thm)],[])).
% 6.69/4.61 tff(705,axiom,(nextState(constB75, constB76)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_75')).
% 6.69/4.61 tff(706,plain,
% 6.69/4.61 (nextState(constB75, constB76)),
% 6.69/4.61 inference(modus_ponens,[status(thm)],[705, 704])).
% 6.69/4.61 tff(707,plain,
% 6.69/4.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB75, constB76)) | (~(((~v129(constB76, bitIndex2)) <=> v127(constB75, bitIndex2)) | ((~v129(constB76, bitIndex1)) <=> v127(constB75, bitIndex1)) | ((~v129(constB76, bitIndex0)) <=> v127(constB75, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB75, constB76)) | (~(((~v129(constB76, bitIndex2)) <=> v127(constB75, bitIndex2)) | ((~v129(constB76, bitIndex1)) <=> v127(constB75, bitIndex1)) | ((~v129(constB76, bitIndex0)) <=> v127(constB75, bitIndex0)))))),
% 6.69/4.61 inference(rewrite,[status(thm)],[])).
% 6.69/4.61 tff(708,plain,
% 6.69/4.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB75, constB76)) | (~(((~v129(constB76, bitIndex2)) <=> v127(constB75, bitIndex2)) | ((~v129(constB76, bitIndex1)) <=> v127(constB75, bitIndex1)) | ((~v129(constB76, bitIndex0)) <=> v127(constB75, bitIndex0)))))),
% 6.69/4.61 inference(quant_inst,[status(thm)],[])).
% 6.69/4.61 tff(709,plain,
% 6.69/4.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB75, constB76)) | (~(((~v129(constB76, bitIndex2)) <=> v127(constB75, bitIndex2)) | ((~v129(constB76, bitIndex1)) <=> v127(constB75, bitIndex1)) | ((~v129(constB76, bitIndex0)) <=> v127(constB75, bitIndex0))))),
% 6.69/4.61 inference(modus_ponens,[status(thm)],[708, 707])).
% 6.69/4.61 tff(710,plain,
% 6.69/4.61 (~(((~v129(constB76, bitIndex2)) <=> v127(constB75, bitIndex2)) | ((~v129(constB76, bitIndex1)) <=> v127(constB75, bitIndex1)) | ((~v129(constB76, bitIndex0)) <=> v127(constB75, bitIndex0)))),
% 6.69/4.61 inference(unit_resolution,[status(thm)],[709, 706, 517])).
% 6.69/4.61 tff(711,plain,
% 6.69/4.61 ((((~v129(constB76, bitIndex2)) <=> v127(constB75, bitIndex2)) | ((~v129(constB76, bitIndex1)) <=> v127(constB75, bitIndex1)) | ((~v129(constB76, bitIndex0)) <=> v127(constB75, bitIndex0))) | (~((~v129(constB76, bitIndex2)) <=> v127(constB75, bitIndex2)))),
% 6.69/4.61 inference(tautology,[status(thm)],[])).
% 6.69/4.61 tff(712,plain,
% 6.69/4.61 (~((~v129(constB76, bitIndex2)) <=> v127(constB75, bitIndex2))),
% 6.69/4.61 inference(unit_resolution,[status(thm)],[711, 710])).
% 6.69/4.61 tff(713,plain,
% 6.69/4.62 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB75) <=> v26(constB75))),
% 6.69/4.62 inference(quant_inst,[status(thm)],[])).
% 6.69/4.62 tff(714,plain,
% 6.69/4.62 (v111(constB75) <=> v26(constB75)),
% 6.69/4.62 inference(unit_resolution,[status(thm)],[713, 536])).
% 6.69/4.62 tff(715,plain,
% 6.69/4.62 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB75))),
% 6.69/4.62 inference(quant_inst,[status(thm)],[])).
% 6.69/4.62 tff(716,plain,
% 6.69/4.62 (~v26(constB75)),
% 6.69/4.62 inference(unit_resolution,[status(thm)],[715, 548])).
% 6.69/4.62 tff(717,plain,
% 6.69/4.62 ((~(v111(constB75) <=> v26(constB75))) | (~v111(constB75)) | v26(constB75)),
% 6.69/4.62 inference(tautology,[status(thm)],[])).
% 6.69/4.62 tff(718,plain,
% 6.69/4.62 ((~(v111(constB75) <=> v26(constB75))) | (~v111(constB75))),
% 6.69/4.62 inference(unit_resolution,[status(thm)],[717, 716])).
% 6.69/4.62 tff(719,plain,
% 6.69/4.62 (~v111(constB75)),
% 6.69/4.62 inference(unit_resolution,[status(thm)],[718, 714])).
% 6.69/4.62 tff(720,plain,
% 6.69/4.62 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB75) | (~(((~v127(constB75, bitIndex2)) <=> v130(constB75, bitIndex2)) | ((~v127(constB75, bitIndex1)) <=> v130(constB75, bitIndex1)) | ((~v127(constB75, bitIndex0)) <=> v130(constB75, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB75) | (~(((~v127(constB75, bitIndex2)) <=> v130(constB75, bitIndex2)) | ((~v127(constB75, bitIndex1)) <=> v130(constB75, bitIndex1)) | ((~v127(constB75, bitIndex0)) <=> v130(constB75, bitIndex0)))))),
% 6.69/4.62 inference(rewrite,[status(thm)],[])).
% 6.69/4.62 tff(721,plain,
% 6.69/4.62 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB75) | (~(((~v127(constB75, bitIndex2)) <=> v130(constB75, bitIndex2)) | ((~v127(constB75, bitIndex1)) <=> v130(constB75, bitIndex1)) | ((~v127(constB75, bitIndex0)) <=> v130(constB75, bitIndex0)))))),
% 6.69/4.62 inference(quant_inst,[status(thm)],[])).
% 6.69/4.62 tff(722,plain,
% 6.69/4.62 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB75) | (~(((~v127(constB75, bitIndex2)) <=> v130(constB75, bitIndex2)) | ((~v127(constB75, bitIndex1)) <=> v130(constB75, bitIndex1)) | ((~v127(constB75, bitIndex0)) <=> v130(constB75, bitIndex0))))),
% 6.69/4.62 inference(modus_ponens,[status(thm)],[721, 720])).
% 6.69/4.62 tff(723,plain,
% 6.69/4.62 (v111(constB75) | (~(((~v127(constB75, bitIndex2)) <=> v130(constB75, bitIndex2)) | ((~v127(constB75, bitIndex1)) <=> v130(constB75, bitIndex1)) | ((~v127(constB75, bitIndex0)) <=> v130(constB75, bitIndex0))))),
% 6.69/4.62 inference(unit_resolution,[status(thm)],[722, 566])).
% 6.69/4.62 tff(724,plain,
% 6.69/4.62 (~(((~v127(constB75, bitIndex2)) <=> v130(constB75, bitIndex2)) | ((~v127(constB75, bitIndex1)) <=> v130(constB75, bitIndex1)) | ((~v127(constB75, bitIndex0)) <=> v130(constB75, bitIndex0)))),
% 6.69/4.62 inference(unit_resolution,[status(thm)],[723, 719])).
% 6.69/4.62 tff(725,plain,
% 6.69/4.62 ((((~v127(constB75, bitIndex2)) <=> v130(constB75, bitIndex2)) | ((~v127(constB75, bitIndex1)) <=> v130(constB75, bitIndex1)) | ((~v127(constB75, bitIndex0)) <=> v130(constB75, bitIndex0))) | (~((~v127(constB75, bitIndex2)) <=> v130(constB75, bitIndex2)))),
% 6.69/4.62 inference(tautology,[status(thm)],[])).
% 6.69/4.62 tff(726,plain,
% 6.69/4.62 (~((~v127(constB75, bitIndex2)) <=> v130(constB75, bitIndex2))),
% 6.69/4.62 inference(unit_resolution,[status(thm)],[725, 724])).
% 6.69/4.62 tff(727,plain,
% 6.69/4.62 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB75) <=> (~(v90(constB75, bitIndex1) | v90(constB75, bitIndex2) | (~v90(constB75, bitIndex0)))))),
% 6.69/4.62 inference(quant_inst,[status(thm)],[])).
% 6.69/4.62 tff(728,plain,
% 6.69/4.62 (v120(constB75) <=> (~(v90(constB75, bitIndex1) | v90(constB75, bitIndex2) | (~v90(constB75, bitIndex0))))),
% 6.69/4.62 inference(unit_resolution,[status(thm)],[727, 665])).
% 6.69/4.62 tff(729,plain,
% 6.69/4.62 (nextState(constB74, constB75) <=> nextState(constB74, constB75)),
% 6.69/4.62 inference(rewrite,[status(thm)],[])).
% 6.69/4.62 tff(730,axiom,(nextState(constB74, constB75)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_74')).
% 6.69/4.62 tff(731,plain,
% 6.69/4.62 (nextState(constB74, constB75)),
% 6.69/4.62 inference(modus_ponens,[status(thm)],[730, 729])).
% 6.69/4.62 tff(732,plain,
% 6.69/4.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB74, constB75)) | (v100(constB75) <=> (~((~v101(constB75)) | (~v110(constB75))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB74, constB75)) | (v100(constB75) <=> (~((~v101(constB75)) | (~v110(constB75))))))),
% 6.69/4.62 inference(rewrite,[status(thm)],[])).
% 6.69/4.62 tff(733,plain,
% 6.69/4.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB74, constB75)) | (v100(constB75) <=> (~((~v101(constB75)) | (~v110(constB75))))))),
% 6.69/4.62 inference(quant_inst,[status(thm)],[])).
% 6.69/4.62 tff(734,plain,
% 6.69/4.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB74, constB75)) | (v100(constB75) <=> (~((~v101(constB75)) | (~v110(constB75)))))),
% 6.69/4.62 inference(modus_ponens,[status(thm)],[733, 732])).
% 6.69/4.62 tff(735,plain,
% 6.69/4.62 (v100(constB75) <=> (~((~v101(constB75)) | (~v110(constB75))))),
% 6.69/4.62 inference(unit_resolution,[status(thm)],[734, 731, 445])).
% 6.69/4.62 tff(736,plain,
% 6.69/4.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB74, constB75)) | (v101(constB75) <=> (~((~v1(constB75)) | (~v102(constB75))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB74, constB75)) | (v101(constB75) <=> (~((~v1(constB75)) | (~v102(constB75))))))),
% 6.69/4.62 inference(rewrite,[status(thm)],[])).
% 6.69/4.62 tff(737,plain,
% 6.69/4.62 (((~nextState(constB74, constB75)) | (v101(constB75) <=> (~((~v102(constB75)) | (~v1(constB75)))))) <=> ((~nextState(constB74, constB75)) | (v101(constB75) <=> (~((~v1(constB75)) | (~v102(constB75))))))),
% 6.69/4.62 inference(rewrite,[status(thm)],[])).
% 6.69/4.62 tff(738,plain,
% 6.69/4.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB74, constB75)) | (v101(constB75) <=> (~((~v102(constB75)) | (~v1(constB75))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB74, constB75)) | (v101(constB75) <=> (~((~v1(constB75)) | (~v102(constB75)))))))),
% 6.69/4.62 inference(monotonicity,[status(thm)],[737])).
% 6.69/4.62 tff(739,plain,
% 6.69/4.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB74, constB75)) | (v101(constB75) <=> (~((~v102(constB75)) | (~v1(constB75))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB74, constB75)) | (v101(constB75) <=> (~((~v1(constB75)) | (~v102(constB75))))))),
% 6.69/4.62 inference(transitivity,[status(thm)],[738, 736])).
% 6.69/4.62 tff(740,plain,
% 6.69/4.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB74, constB75)) | (v101(constB75) <=> (~((~v102(constB75)) | (~v1(constB75))))))),
% 6.69/4.62 inference(quant_inst,[status(thm)],[])).
% 6.69/4.62 tff(741,plain,
% 6.69/4.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB74, constB75)) | (v101(constB75) <=> (~((~v1(constB75)) | (~v102(constB75)))))),
% 6.69/4.62 inference(modus_ponens,[status(thm)],[740, 739])).
% 6.69/4.62 tff(742,plain,
% 6.69/4.62 (v101(constB75) <=> (~((~v1(constB75)) | (~v102(constB75))))),
% 6.69/4.62 inference(unit_resolution,[status(thm)],[741, 731, 465])).
% 6.69/4.62 tff(743,plain,
% 6.69/4.62 ((~v1(constB75)) <=> (~v1(constB75))),
% 6.69/4.62 inference(rewrite,[status(thm)],[])).
% 6.69/4.62 tff(744,axiom,(~v1(constB75)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_75')).
% 6.69/4.62 tff(745,plain,
% 6.69/4.62 (~v1(constB75)),
% 6.69/4.62 inference(modus_ponens,[status(thm)],[744, 743])).
% 6.69/4.62 tff(746,plain,
% 6.69/4.62 (((~v1(constB75)) | (~v102(constB75))) | v1(constB75)),
% 6.69/4.62 inference(tautology,[status(thm)],[])).
% 6.69/4.62 tff(747,plain,
% 6.69/4.62 ((~v1(constB75)) | (~v102(constB75))),
% 6.69/4.62 inference(unit_resolution,[status(thm)],[746, 745])).
% 6.69/4.62 tff(748,plain,
% 6.69/4.62 ((~(v101(constB75) <=> (~((~v1(constB75)) | (~v102(constB75)))))) | (~v101(constB75)) | (~((~v1(constB75)) | (~v102(constB75))))),
% 6.69/4.62 inference(tautology,[status(thm)],[])).
% 6.69/4.62 tff(749,plain,
% 6.69/4.62 ((~(v101(constB75) <=> (~((~v1(constB75)) | (~v102(constB75)))))) | (~v101(constB75))),
% 6.69/4.62 inference(unit_resolution,[status(thm)],[748, 747])).
% 6.69/4.62 tff(750,plain,
% 6.69/4.62 (~v101(constB75)),
% 6.69/4.62 inference(unit_resolution,[status(thm)],[749, 742])).
% 6.69/4.62 tff(751,plain,
% 6.69/4.62 (((~v101(constB75)) | (~v110(constB75))) | v101(constB75)),
% 6.69/4.62 inference(tautology,[status(thm)],[])).
% 6.69/4.62 tff(752,plain,
% 6.69/4.62 ((~v101(constB75)) | (~v110(constB75))),
% 6.69/4.62 inference(unit_resolution,[status(thm)],[751, 750])).
% 6.69/4.62 tff(753,plain,
% 6.69/4.62 ((~(v100(constB75) <=> (~((~v101(constB75)) | (~v110(constB75)))))) | (~v100(constB75)) | (~((~v101(constB75)) | (~v110(constB75))))),
% 6.69/4.62 inference(tautology,[status(thm)],[])).
% 6.69/4.62 tff(754,plain,
% 6.69/4.62 (~v100(constB75)),
% 6.69/4.62 inference(unit_resolution,[status(thm)],[753, 752, 735])).
% 6.69/4.62 tff(755,plain,
% 6.69/4.62 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB75) | (~nextState(constB74, constB75)) | (~(((~v90(constB75, bitIndex1)) <=> v90(constB74, bitIndex1)) | ((~v90(constB75, bitIndex2)) <=> v90(constB74, bitIndex2)) | ((~v90(constB75, bitIndex0)) <=> v90(constB74, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB75) | (~nextState(constB74, constB75)) | (~(((~v90(constB75, bitIndex1)) <=> v90(constB74, bitIndex1)) | ((~v90(constB75, bitIndex2)) <=> v90(constB74, bitIndex2)) | ((~v90(constB75, bitIndex0)) <=> v90(constB74, bitIndex0)))))),
% 6.69/4.62 inference(rewrite,[status(thm)],[])).
% 6.69/4.62 tff(756,plain,
% 6.69/4.62 ((v100(constB75) | (~nextState(constB74, constB75)) | (~(((~v90(constB75, bitIndex2)) <=> v90(constB74, bitIndex2)) | ((~v90(constB75, bitIndex1)) <=> v90(constB74, bitIndex1)) | ((~v90(constB75, bitIndex0)) <=> v90(constB74, bitIndex0))))) <=> (v100(constB75) | (~nextState(constB74, constB75)) | (~(((~v90(constB75, bitIndex1)) <=> v90(constB74, bitIndex1)) | ((~v90(constB75, bitIndex2)) <=> v90(constB74, bitIndex2)) | ((~v90(constB75, bitIndex0)) <=> v90(constB74, bitIndex0)))))),
% 6.69/4.62 inference(rewrite,[status(thm)],[])).
% 6.69/4.62 tff(757,plain,
% 6.69/4.62 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB75) | (~nextState(constB74, constB75)) | (~(((~v90(constB75, bitIndex2)) <=> v90(constB74, bitIndex2)) | ((~v90(constB75, bitIndex1)) <=> v90(constB74, bitIndex1)) | ((~v90(constB75, bitIndex0)) <=> v90(constB74, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB75) | (~nextState(constB74, constB75)) | (~(((~v90(constB75, bitIndex1)) <=> v90(constB74, bitIndex1)) | ((~v90(constB75, bitIndex2)) <=> v90(constB74, bitIndex2)) | ((~v90(constB75, bitIndex0)) <=> v90(constB74, bitIndex0))))))),
% 6.69/4.62 inference(monotonicity,[status(thm)],[756])).
% 6.69/4.62 tff(758,plain,
% 6.69/4.62 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB75) | (~nextState(constB74, constB75)) | (~(((~v90(constB75, bitIndex2)) <=> v90(constB74, bitIndex2)) | ((~v90(constB75, bitIndex1)) <=> v90(constB74, bitIndex1)) | ((~v90(constB75, bitIndex0)) <=> v90(constB74, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB75) | (~nextState(constB74, constB75)) | (~(((~v90(constB75, bitIndex1)) <=> v90(constB74, bitIndex1)) | ((~v90(constB75, bitIndex2)) <=> v90(constB74, bitIndex2)) | ((~v90(constB75, bitIndex0)) <=> v90(constB74, bitIndex0)))))),
% 6.69/4.62 inference(transitivity,[status(thm)],[757, 755])).
% 6.69/4.62 tff(759,plain,
% 6.69/4.62 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB75) | (~nextState(constB74, constB75)) | (~(((~v90(constB75, bitIndex2)) <=> v90(constB74, bitIndex2)) | ((~v90(constB75, bitIndex1)) <=> v90(constB74, bitIndex1)) | ((~v90(constB75, bitIndex0)) <=> v90(constB74, bitIndex0)))))),
% 6.69/4.62 inference(quant_inst,[status(thm)],[])).
% 6.69/4.62 tff(760,plain,
% 6.69/4.62 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB75) | (~nextState(constB74, constB75)) | (~(((~v90(constB75, bitIndex1)) <=> v90(constB74, bitIndex1)) | ((~v90(constB75, bitIndex2)) <=> v90(constB74, bitIndex2)) | ((~v90(constB75, bitIndex0)) <=> v90(constB74, bitIndex0))))),
% 6.69/4.62 inference(modus_ponens,[status(thm)],[759, 758])).
% 6.69/4.62 tff(761,plain,
% 6.69/4.62 (v100(constB75) | (~(((~v90(constB75, bitIndex1)) <=> v90(constB74, bitIndex1)) | ((~v90(constB75, bitIndex2)) <=> v90(constB74, bitIndex2)) | ((~v90(constB75, bitIndex0)) <=> v90(constB74, bitIndex0))))),
% 6.69/4.62 inference(unit_resolution,[status(thm)],[760, 731, 494])).
% 6.69/4.62 tff(762,plain,
% 6.69/4.62 (~(((~v90(constB75, bitIndex1)) <=> v90(constB74, bitIndex1)) | ((~v90(constB75, bitIndex2)) <=> v90(constB74, bitIndex2)) | ((~v90(constB75, bitIndex0)) <=> v90(constB74, bitIndex0)))),
% 6.69/4.62 inference(unit_resolution,[status(thm)],[761, 754])).
% 6.69/4.62 tff(763,plain,
% 6.69/4.62 ((((~v90(constB75, bitIndex1)) <=> v90(constB74, bitIndex1)) | ((~v90(constB75, bitIndex2)) <=> v90(constB74, bitIndex2)) | ((~v90(constB75, bitIndex0)) <=> v90(constB74, bitIndex0))) | (~((~v90(constB75, bitIndex0)) <=> v90(constB74, bitIndex0)))),
% 6.69/4.62 inference(tautology,[status(thm)],[])).
% 6.69/4.62 tff(764,plain,
% 6.69/4.62 (~((~v90(constB75, bitIndex0)) <=> v90(constB74, bitIndex0))),
% 6.69/4.62 inference(unit_resolution,[status(thm)],[763, 762])).
% 6.69/4.62 tff(765,plain,
% 6.69/4.62 (nextState(constB73, constB74) <=> nextState(constB73, constB74)),
% 6.69/4.62 inference(rewrite,[status(thm)],[])).
% 6.69/4.62 tff(766,axiom,(nextState(constB73, constB74)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_73')).
% 6.69/4.62 tff(767,plain,
% 6.69/4.62 (nextState(constB73, constB74)),
% 6.69/4.62 inference(modus_ponens,[status(thm)],[766, 765])).
% 6.69/4.62 tff(768,plain,
% 6.69/4.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB73, constB74)) | (~(((~v129(constB74, bitIndex2)) <=> v127(constB73, bitIndex2)) | ((~v129(constB74, bitIndex1)) <=> v127(constB73, bitIndex1)) | ((~v129(constB74, bitIndex0)) <=> v127(constB73, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB73, constB74)) | (~(((~v129(constB74, bitIndex2)) <=> v127(constB73, bitIndex2)) | ((~v129(constB74, bitIndex1)) <=> v127(constB73, bitIndex1)) | ((~v129(constB74, bitIndex0)) <=> v127(constB73, bitIndex0)))))),
% 6.69/4.62 inference(rewrite,[status(thm)],[])).
% 6.69/4.62 tff(769,plain,
% 6.69/4.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB73, constB74)) | (~(((~v129(constB74, bitIndex2)) <=> v127(constB73, bitIndex2)) | ((~v129(constB74, bitIndex1)) <=> v127(constB73, bitIndex1)) | ((~v129(constB74, bitIndex0)) <=> v127(constB73, bitIndex0)))))),
% 6.69/4.62 inference(quant_inst,[status(thm)],[])).
% 6.69/4.62 tff(770,plain,
% 6.69/4.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB73, constB74)) | (~(((~v129(constB74, bitIndex2)) <=> v127(constB73, bitIndex2)) | ((~v129(constB74, bitIndex1)) <=> v127(constB73, bitIndex1)) | ((~v129(constB74, bitIndex0)) <=> v127(constB73, bitIndex0))))),
% 6.69/4.62 inference(modus_ponens,[status(thm)],[769, 768])).
% 6.69/4.62 tff(771,plain,
% 6.69/4.62 (~(((~v129(constB74, bitIndex2)) <=> v127(constB73, bitIndex2)) | ((~v129(constB74, bitIndex1)) <=> v127(constB73, bitIndex1)) | ((~v129(constB74, bitIndex0)) <=> v127(constB73, bitIndex0)))),
% 6.69/4.62 inference(unit_resolution,[status(thm)],[770, 767, 517])).
% 6.69/4.62 tff(772,plain,
% 6.69/4.62 ((((~v129(constB74, bitIndex2)) <=> v127(constB73, bitIndex2)) | ((~v129(constB74, bitIndex1)) <=> v127(constB73, bitIndex1)) | ((~v129(constB74, bitIndex0)) <=> v127(constB73, bitIndex0))) | (~((~v129(constB74, bitIndex0)) <=> v127(constB73, bitIndex0)))),
% 6.69/4.62 inference(tautology,[status(thm)],[])).
% 6.69/4.62 tff(773,plain,
% 6.69/4.62 (~((~v129(constB74, bitIndex0)) <=> v127(constB73, bitIndex0))),
% 6.69/4.62 inference(unit_resolution,[status(thm)],[772, 771])).
% 6.69/4.62 tff(774,plain,
% 6.69/4.62 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB73) <=> v26(constB73))),
% 6.69/4.62 inference(quant_inst,[status(thm)],[])).
% 6.69/4.62 tff(775,plain,
% 6.69/4.62 (v111(constB73) <=> v26(constB73)),
% 6.69/4.62 inference(unit_resolution,[status(thm)],[774, 536])).
% 6.69/4.62 tff(776,plain,
% 6.69/4.62 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB73))),
% 6.69/4.62 inference(quant_inst,[status(thm)],[])).
% 6.69/4.62 tff(777,plain,
% 6.69/4.62 (~v26(constB73)),
% 6.69/4.62 inference(unit_resolution,[status(thm)],[776, 548])).
% 6.69/4.62 tff(778,plain,
% 6.69/4.62 ((~(v111(constB73) <=> v26(constB73))) | (~v111(constB73)) | v26(constB73)),
% 6.69/4.62 inference(tautology,[status(thm)],[])).
% 6.69/4.62 tff(779,plain,
% 6.69/4.62 ((~(v111(constB73) <=> v26(constB73))) | (~v111(constB73))),
% 6.69/4.62 inference(unit_resolution,[status(thm)],[778, 777])).
% 6.69/4.62 tff(780,plain,
% 6.69/4.62 (~v111(constB73)),
% 6.69/4.62 inference(unit_resolution,[status(thm)],[779, 775])).
% 6.69/4.62 tff(781,plain,
% 6.69/4.62 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB73) | (~(((~v127(constB73, bitIndex2)) <=> v130(constB73, bitIndex2)) | ((~v127(constB73, bitIndex1)) <=> v130(constB73, bitIndex1)) | ((~v127(constB73, bitIndex0)) <=> v130(constB73, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB73) | (~(((~v127(constB73, bitIndex2)) <=> v130(constB73, bitIndex2)) | ((~v127(constB73, bitIndex1)) <=> v130(constB73, bitIndex1)) | ((~v127(constB73, bitIndex0)) <=> v130(constB73, bitIndex0)))))),
% 6.69/4.62 inference(rewrite,[status(thm)],[])).
% 6.69/4.62 tff(782,plain,
% 6.69/4.62 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB73) | (~(((~v127(constB73, bitIndex2)) <=> v130(constB73, bitIndex2)) | ((~v127(constB73, bitIndex1)) <=> v130(constB73, bitIndex1)) | ((~v127(constB73, bitIndex0)) <=> v130(constB73, bitIndex0)))))),
% 6.69/4.62 inference(quant_inst,[status(thm)],[])).
% 6.69/4.62 tff(783,plain,
% 6.69/4.62 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB73) | (~(((~v127(constB73, bitIndex2)) <=> v130(constB73, bitIndex2)) | ((~v127(constB73, bitIndex1)) <=> v130(constB73, bitIndex1)) | ((~v127(constB73, bitIndex0)) <=> v130(constB73, bitIndex0))))),
% 6.69/4.62 inference(modus_ponens,[status(thm)],[782, 781])).
% 6.69/4.62 tff(784,plain,
% 6.69/4.62 (v111(constB73) | (~(((~v127(constB73, bitIndex2)) <=> v130(constB73, bitIndex2)) | ((~v127(constB73, bitIndex1)) <=> v130(constB73, bitIndex1)) | ((~v127(constB73, bitIndex0)) <=> v130(constB73, bitIndex0))))),
% 6.69/4.62 inference(unit_resolution,[status(thm)],[783, 566])).
% 6.69/4.62 tff(785,plain,
% 6.69/4.62 (~(((~v127(constB73, bitIndex2)) <=> v130(constB73, bitIndex2)) | ((~v127(constB73, bitIndex1)) <=> v130(constB73, bitIndex1)) | ((~v127(constB73, bitIndex0)) <=> v130(constB73, bitIndex0)))),
% 6.69/4.62 inference(unit_resolution,[status(thm)],[784, 780])).
% 6.69/4.62 tff(786,plain,
% 6.69/4.62 ((((~v127(constB73, bitIndex2)) <=> v130(constB73, bitIndex2)) | ((~v127(constB73, bitIndex1)) <=> v130(constB73, bitIndex1)) | ((~v127(constB73, bitIndex0)) <=> v130(constB73, bitIndex0))) | (~((~v127(constB73, bitIndex0)) <=> v130(constB73, bitIndex0)))),
% 6.69/4.62 inference(tautology,[status(thm)],[])).
% 6.69/4.62 tff(787,plain,
% 6.69/4.62 (~((~v127(constB73, bitIndex0)) <=> v130(constB73, bitIndex0))),
% 6.69/4.62 inference(unit_resolution,[status(thm)],[786, 785])).
% 6.69/4.62 tff(788,plain,
% 6.69/4.62 (^[VarCurr: $i] : refl((v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2))))) <=> (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2))))))),
% 6.69/4.62 inference(bind,[status(th)],[])).
% 6.69/4.62 tff(789,plain,
% 6.69/4.62 (![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2))))) <=> ![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))),
% 6.69/4.62 inference(quant_intro,[status(thm)],[788])).
% 6.69/4.62 tff(790,plain,
% 6.69/4.62 (^[VarCurr: $i] : rewrite((v123(VarCurr) <=> (v90(VarCurr, bitIndex2) & (~v90(VarCurr, bitIndex1)) & (~v90(VarCurr, bitIndex0)))) <=> (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2))))))),
% 6.69/4.62 inference(bind,[status(th)],[])).
% 6.69/4.62 tff(791,plain,
% 6.69/4.62 (![VarCurr: $i] : (v123(VarCurr) <=> (v90(VarCurr, bitIndex2) & (~v90(VarCurr, bitIndex1)) & (~v90(VarCurr, bitIndex0)))) <=> ![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))),
% 6.69/4.62 inference(quant_intro,[status(thm)],[790])).
% 6.69/4.62 tff(792,plain,
% 6.69/4.62 (![VarCurr: $i] : (v123(VarCurr) <=> (v90(VarCurr, bitIndex2) & (~v90(VarCurr, bitIndex1)) & (~v90(VarCurr, bitIndex0)))) <=> ![VarCurr: $i] : (v123(VarCurr) <=> (v90(VarCurr, bitIndex2) & (~v90(VarCurr, bitIndex1)) & (~v90(VarCurr, bitIndex0))))),
% 6.69/4.62 inference(rewrite,[status(thm)],[])).
% 6.69/4.62 tff(793,plain,
% 6.69/4.62 (^[VarCurr: $i] : rewrite((v123(VarCurr) <=> (((v90(VarCurr, bitIndex2) <=> $true) & (v90(VarCurr, bitIndex1) <=> $false)) & (v90(VarCurr, bitIndex0) <=> $false))) <=> (v123(VarCurr) <=> (v90(VarCurr, bitIndex2) & (~v90(VarCurr, bitIndex1)) & (~v90(VarCurr, bitIndex0)))))),
% 6.69/4.62 inference(bind,[status(th)],[])).
% 6.69/4.62 tff(794,plain,
% 6.69/4.62 (![VarCurr: $i] : (v123(VarCurr) <=> (((v90(VarCurr, bitIndex2) <=> $true) & (v90(VarCurr, bitIndex1) <=> $false)) & (v90(VarCurr, bitIndex0) <=> $false))) <=> ![VarCurr: $i] : (v123(VarCurr) <=> (v90(VarCurr, bitIndex2) & (~v90(VarCurr, bitIndex1)) & (~v90(VarCurr, bitIndex0))))),
% 6.69/4.62 inference(quant_intro,[status(thm)],[793])).
% 6.69/4.62 tff(795,axiom,(![VarCurr: $i] : (v123(VarCurr) <=> (((v90(VarCurr, bitIndex2) <=> $true) & (v90(VarCurr, bitIndex1) <=> $false)) & (v90(VarCurr, bitIndex0) <=> $false)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_6')).
% 6.69/4.62 tff(796,plain,
% 6.69/4.62 (![VarCurr: $i] : (v123(VarCurr) <=> (v90(VarCurr, bitIndex2) & (~v90(VarCurr, bitIndex1)) & (~v90(VarCurr, bitIndex0))))),
% 6.69/4.62 inference(modus_ponens,[status(thm)],[795, 794])).
% 6.69/4.62 tff(797,plain,
% 6.69/4.62 (![VarCurr: $i] : (v123(VarCurr) <=> (v90(VarCurr, bitIndex2) & (~v90(VarCurr, bitIndex1)) & (~v90(VarCurr, bitIndex0))))),
% 6.69/4.62 inference(modus_ponens,[status(thm)],[796, 792])).
% 6.69/4.62 tff(798,plain,(
% 6.69/4.62 ![VarCurr: $i] : (v123(VarCurr) <=> (v90(VarCurr, bitIndex2) & (~v90(VarCurr, bitIndex1)) & (~v90(VarCurr, bitIndex0))))),
% 6.69/4.62 inference(skolemize,[status(sab)],[797])).
% 6.69/4.62 tff(799,plain,
% 6.69/4.62 (![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))),
% 6.69/4.62 inference(modus_ponens,[status(thm)],[798, 791])).
% 6.69/4.62 tff(800,plain,
% 6.69/4.62 (![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))),
% 6.69/4.62 inference(modus_ponens,[status(thm)],[799, 789])).
% 6.69/4.62 tff(801,plain,
% 6.69/4.62 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB73) <=> (~(v90(constB73, bitIndex1) | v90(constB73, bitIndex0) | (~v90(constB73, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB73) <=> (~(v90(constB73, bitIndex1) | v90(constB73, bitIndex0) | (~v90(constB73, bitIndex2))))))),
% 6.69/4.62 inference(rewrite,[status(thm)],[])).
% 6.69/4.62 tff(802,plain,
% 6.69/4.62 ((v123(constB73) <=> (~(v90(constB73, bitIndex0) | v90(constB73, bitIndex1) | (~v90(constB73, bitIndex2))))) <=> (v123(constB73) <=> (~(v90(constB73, bitIndex1) | v90(constB73, bitIndex0) | (~v90(constB73, bitIndex2)))))),
% 6.69/4.62 inference(rewrite,[status(thm)],[])).
% 6.69/4.62 tff(803,plain,
% 6.69/4.62 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB73) <=> (~(v90(constB73, bitIndex0) | v90(constB73, bitIndex1) | (~v90(constB73, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB73) <=> (~(v90(constB73, bitIndex1) | v90(constB73, bitIndex0) | (~v90(constB73, bitIndex2))))))),
% 6.69/4.62 inference(monotonicity,[status(thm)],[802])).
% 6.69/4.62 tff(804,plain,
% 6.69/4.62 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB73) <=> (~(v90(constB73, bitIndex0) | v90(constB73, bitIndex1) | (~v90(constB73, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB73) <=> (~(v90(constB73, bitIndex1) | v90(constB73, bitIndex0) | (~v90(constB73, bitIndex2))))))),
% 6.69/4.62 inference(transitivity,[status(thm)],[803, 801])).
% 6.69/4.62 tff(805,plain,
% 6.69/4.62 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB73) <=> (~(v90(constB73, bitIndex0) | v90(constB73, bitIndex1) | (~v90(constB73, bitIndex2)))))),
% 6.69/4.63 inference(quant_inst,[status(thm)],[])).
% 6.69/4.63 tff(806,plain,
% 6.69/4.63 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB73) <=> (~(v90(constB73, bitIndex1) | v90(constB73, bitIndex0) | (~v90(constB73, bitIndex2)))))),
% 6.69/4.63 inference(modus_ponens,[status(thm)],[805, 804])).
% 6.69/4.63 tff(807,plain,
% 6.69/4.63 (v123(constB73) <=> (~(v90(constB73, bitIndex1) | v90(constB73, bitIndex0) | (~v90(constB73, bitIndex2))))),
% 6.69/4.63 inference(unit_resolution,[status(thm)],[806, 800])).
% 6.69/4.63 tff(808,plain,
% 6.69/4.63 (nextState(constB72, constB73) <=> nextState(constB72, constB73)),
% 6.69/4.63 inference(rewrite,[status(thm)],[])).
% 6.69/4.63 tff(809,axiom,(nextState(constB72, constB73)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_72')).
% 6.69/4.63 tff(810,plain,
% 6.69/4.63 (nextState(constB72, constB73)),
% 6.69/4.63 inference(modus_ponens,[status(thm)],[809, 808])).
% 6.69/4.63 tff(811,plain,
% 6.69/4.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB72, constB73)) | (v100(constB73) <=> (~((~v101(constB73)) | (~v110(constB73))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB72, constB73)) | (v100(constB73) <=> (~((~v101(constB73)) | (~v110(constB73))))))),
% 6.69/4.63 inference(rewrite,[status(thm)],[])).
% 6.69/4.63 tff(812,plain,
% 6.69/4.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB72, constB73)) | (v100(constB73) <=> (~((~v101(constB73)) | (~v110(constB73))))))),
% 6.69/4.63 inference(quant_inst,[status(thm)],[])).
% 6.69/4.63 tff(813,plain,
% 6.69/4.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB72, constB73)) | (v100(constB73) <=> (~((~v101(constB73)) | (~v110(constB73)))))),
% 6.69/4.63 inference(modus_ponens,[status(thm)],[812, 811])).
% 6.69/4.63 tff(814,plain,
% 6.69/4.63 (v100(constB73) <=> (~((~v101(constB73)) | (~v110(constB73))))),
% 6.69/4.63 inference(unit_resolution,[status(thm)],[813, 810, 445])).
% 6.69/4.63 tff(815,plain,
% 6.69/4.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB72, constB73)) | (v101(constB73) <=> (~((~v1(constB73)) | (~v102(constB73))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB72, constB73)) | (v101(constB73) <=> (~((~v1(constB73)) | (~v102(constB73))))))),
% 6.69/4.63 inference(rewrite,[status(thm)],[])).
% 6.69/4.63 tff(816,plain,
% 6.69/4.63 (((~nextState(constB72, constB73)) | (v101(constB73) <=> (~((~v102(constB73)) | (~v1(constB73)))))) <=> ((~nextState(constB72, constB73)) | (v101(constB73) <=> (~((~v1(constB73)) | (~v102(constB73))))))),
% 6.69/4.63 inference(rewrite,[status(thm)],[])).
% 6.69/4.63 tff(817,plain,
% 6.69/4.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB72, constB73)) | (v101(constB73) <=> (~((~v102(constB73)) | (~v1(constB73))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB72, constB73)) | (v101(constB73) <=> (~((~v1(constB73)) | (~v102(constB73)))))))),
% 6.69/4.63 inference(monotonicity,[status(thm)],[816])).
% 6.69/4.63 tff(818,plain,
% 6.69/4.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB72, constB73)) | (v101(constB73) <=> (~((~v102(constB73)) | (~v1(constB73))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB72, constB73)) | (v101(constB73) <=> (~((~v1(constB73)) | (~v102(constB73))))))),
% 6.69/4.63 inference(transitivity,[status(thm)],[817, 815])).
% 6.69/4.63 tff(819,plain,
% 6.69/4.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB72, constB73)) | (v101(constB73) <=> (~((~v102(constB73)) | (~v1(constB73))))))),
% 6.69/4.63 inference(quant_inst,[status(thm)],[])).
% 6.69/4.63 tff(820,plain,
% 6.69/4.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB72, constB73)) | (v101(constB73) <=> (~((~v1(constB73)) | (~v102(constB73)))))),
% 6.69/4.63 inference(modus_ponens,[status(thm)],[819, 818])).
% 6.69/4.63 tff(821,plain,
% 6.69/4.63 (v101(constB73) <=> (~((~v1(constB73)) | (~v102(constB73))))),
% 6.69/4.63 inference(unit_resolution,[status(thm)],[820, 810, 465])).
% 6.69/4.63 tff(822,plain,
% 6.69/4.63 ((~v1(constB73)) <=> (~v1(constB73))),
% 6.69/4.63 inference(rewrite,[status(thm)],[])).
% 6.69/4.63 tff(823,axiom,(~v1(constB73)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_73')).
% 6.69/4.63 tff(824,plain,
% 6.69/4.63 (~v1(constB73)),
% 6.69/4.63 inference(modus_ponens,[status(thm)],[823, 822])).
% 6.69/4.63 tff(825,plain,
% 6.69/4.63 (((~v1(constB73)) | (~v102(constB73))) | v1(constB73)),
% 6.69/4.63 inference(tautology,[status(thm)],[])).
% 6.69/4.63 tff(826,plain,
% 6.69/4.63 ((~v1(constB73)) | (~v102(constB73))),
% 6.69/4.63 inference(unit_resolution,[status(thm)],[825, 824])).
% 6.69/4.63 tff(827,plain,
% 6.69/4.63 ((~(v101(constB73) <=> (~((~v1(constB73)) | (~v102(constB73)))))) | (~v101(constB73)) | (~((~v1(constB73)) | (~v102(constB73))))),
% 6.69/4.63 inference(tautology,[status(thm)],[])).
% 6.69/4.63 tff(828,plain,
% 6.69/4.63 ((~(v101(constB73) <=> (~((~v1(constB73)) | (~v102(constB73)))))) | (~v101(constB73))),
% 6.69/4.63 inference(unit_resolution,[status(thm)],[827, 826])).
% 6.69/4.63 tff(829,plain,
% 6.69/4.63 (~v101(constB73)),
% 6.69/4.63 inference(unit_resolution,[status(thm)],[828, 821])).
% 6.69/4.63 tff(830,plain,
% 6.69/4.63 (((~v101(constB73)) | (~v110(constB73))) | v101(constB73)),
% 6.69/4.63 inference(tautology,[status(thm)],[])).
% 6.69/4.63 tff(831,plain,
% 6.69/4.63 ((~v101(constB73)) | (~v110(constB73))),
% 6.69/4.63 inference(unit_resolution,[status(thm)],[830, 829])).
% 6.69/4.63 tff(832,plain,
% 6.69/4.63 ((~(v100(constB73) <=> (~((~v101(constB73)) | (~v110(constB73)))))) | (~v100(constB73)) | (~((~v101(constB73)) | (~v110(constB73))))),
% 6.69/4.63 inference(tautology,[status(thm)],[])).
% 6.69/4.63 tff(833,plain,
% 6.69/4.63 (~v100(constB73)),
% 6.69/4.63 inference(unit_resolution,[status(thm)],[832, 831, 814])).
% 6.69/4.63 tff(834,plain,
% 6.69/4.63 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB73) | (~nextState(constB72, constB73)) | (~(((~v90(constB73, bitIndex1)) <=> v90(constB72, bitIndex1)) | ((~v90(constB73, bitIndex2)) <=> v90(constB72, bitIndex2)) | ((~v90(constB73, bitIndex0)) <=> v90(constB72, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB73) | (~nextState(constB72, constB73)) | (~(((~v90(constB73, bitIndex1)) <=> v90(constB72, bitIndex1)) | ((~v90(constB73, bitIndex2)) <=> v90(constB72, bitIndex2)) | ((~v90(constB73, bitIndex0)) <=> v90(constB72, bitIndex0)))))),
% 6.69/4.63 inference(rewrite,[status(thm)],[])).
% 6.69/4.63 tff(835,plain,
% 6.69/4.63 ((v100(constB73) | (~nextState(constB72, constB73)) | (~(((~v90(constB73, bitIndex2)) <=> v90(constB72, bitIndex2)) | ((~v90(constB73, bitIndex1)) <=> v90(constB72, bitIndex1)) | ((~v90(constB73, bitIndex0)) <=> v90(constB72, bitIndex0))))) <=> (v100(constB73) | (~nextState(constB72, constB73)) | (~(((~v90(constB73, bitIndex1)) <=> v90(constB72, bitIndex1)) | ((~v90(constB73, bitIndex2)) <=> v90(constB72, bitIndex2)) | ((~v90(constB73, bitIndex0)) <=> v90(constB72, bitIndex0)))))),
% 6.69/4.63 inference(rewrite,[status(thm)],[])).
% 6.69/4.63 tff(836,plain,
% 6.69/4.63 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB73) | (~nextState(constB72, constB73)) | (~(((~v90(constB73, bitIndex2)) <=> v90(constB72, bitIndex2)) | ((~v90(constB73, bitIndex1)) <=> v90(constB72, bitIndex1)) | ((~v90(constB73, bitIndex0)) <=> v90(constB72, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB73) | (~nextState(constB72, constB73)) | (~(((~v90(constB73, bitIndex1)) <=> v90(constB72, bitIndex1)) | ((~v90(constB73, bitIndex2)) <=> v90(constB72, bitIndex2)) | ((~v90(constB73, bitIndex0)) <=> v90(constB72, bitIndex0))))))),
% 6.71/4.63 inference(monotonicity,[status(thm)],[835])).
% 6.71/4.63 tff(837,plain,
% 6.71/4.63 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB73) | (~nextState(constB72, constB73)) | (~(((~v90(constB73, bitIndex2)) <=> v90(constB72, bitIndex2)) | ((~v90(constB73, bitIndex1)) <=> v90(constB72, bitIndex1)) | ((~v90(constB73, bitIndex0)) <=> v90(constB72, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB73) | (~nextState(constB72, constB73)) | (~(((~v90(constB73, bitIndex1)) <=> v90(constB72, bitIndex1)) | ((~v90(constB73, bitIndex2)) <=> v90(constB72, bitIndex2)) | ((~v90(constB73, bitIndex0)) <=> v90(constB72, bitIndex0)))))),
% 6.71/4.63 inference(transitivity,[status(thm)],[836, 834])).
% 6.71/4.63 tff(838,plain,
% 6.71/4.63 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB73) | (~nextState(constB72, constB73)) | (~(((~v90(constB73, bitIndex2)) <=> v90(constB72, bitIndex2)) | ((~v90(constB73, bitIndex1)) <=> v90(constB72, bitIndex1)) | ((~v90(constB73, bitIndex0)) <=> v90(constB72, bitIndex0)))))),
% 6.71/4.63 inference(quant_inst,[status(thm)],[])).
% 6.71/4.63 tff(839,plain,
% 6.71/4.63 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB73) | (~nextState(constB72, constB73)) | (~(((~v90(constB73, bitIndex1)) <=> v90(constB72, bitIndex1)) | ((~v90(constB73, bitIndex2)) <=> v90(constB72, bitIndex2)) | ((~v90(constB73, bitIndex0)) <=> v90(constB72, bitIndex0))))),
% 6.71/4.63 inference(modus_ponens,[status(thm)],[838, 837])).
% 6.71/4.63 tff(840,plain,
% 6.71/4.63 (v100(constB73) | (~(((~v90(constB73, bitIndex1)) <=> v90(constB72, bitIndex1)) | ((~v90(constB73, bitIndex2)) <=> v90(constB72, bitIndex2)) | ((~v90(constB73, bitIndex0)) <=> v90(constB72, bitIndex0))))),
% 6.71/4.63 inference(unit_resolution,[status(thm)],[839, 810, 494])).
% 6.71/4.63 tff(841,plain,
% 6.71/4.63 (~(((~v90(constB73, bitIndex1)) <=> v90(constB72, bitIndex1)) | ((~v90(constB73, bitIndex2)) <=> v90(constB72, bitIndex2)) | ((~v90(constB73, bitIndex0)) <=> v90(constB72, bitIndex0)))),
% 6.71/4.63 inference(unit_resolution,[status(thm)],[840, 833])).
% 6.71/4.63 tff(842,plain,
% 6.71/4.63 ((((~v90(constB73, bitIndex1)) <=> v90(constB72, bitIndex1)) | ((~v90(constB73, bitIndex2)) <=> v90(constB72, bitIndex2)) | ((~v90(constB73, bitIndex0)) <=> v90(constB72, bitIndex0))) | (~((~v90(constB73, bitIndex2)) <=> v90(constB72, bitIndex2)))),
% 6.71/4.63 inference(tautology,[status(thm)],[])).
% 6.71/4.63 tff(843,plain,
% 6.71/4.63 (~((~v90(constB73, bitIndex2)) <=> v90(constB72, bitIndex2))),
% 6.71/4.63 inference(unit_resolution,[status(thm)],[842, 841])).
% 6.71/4.63 tff(844,plain,
% 6.71/4.63 (nextState(constB71, constB72) <=> nextState(constB71, constB72)),
% 6.71/4.63 inference(rewrite,[status(thm)],[])).
% 6.71/4.63 tff(845,axiom,(nextState(constB71, constB72)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_71')).
% 6.71/4.63 tff(846,plain,
% 6.71/4.63 (nextState(constB71, constB72)),
% 6.71/4.63 inference(modus_ponens,[status(thm)],[845, 844])).
% 6.71/4.63 tff(847,plain,
% 6.71/4.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB71, constB72)) | (~(((~v129(constB72, bitIndex2)) <=> v127(constB71, bitIndex2)) | ((~v129(constB72, bitIndex1)) <=> v127(constB71, bitIndex1)) | ((~v129(constB72, bitIndex0)) <=> v127(constB71, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB71, constB72)) | (~(((~v129(constB72, bitIndex2)) <=> v127(constB71, bitIndex2)) | ((~v129(constB72, bitIndex1)) <=> v127(constB71, bitIndex1)) | ((~v129(constB72, bitIndex0)) <=> v127(constB71, bitIndex0)))))),
% 6.71/4.63 inference(rewrite,[status(thm)],[])).
% 6.71/4.63 tff(848,plain,
% 6.71/4.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB71, constB72)) | (~(((~v129(constB72, bitIndex2)) <=> v127(constB71, bitIndex2)) | ((~v129(constB72, bitIndex1)) <=> v127(constB71, bitIndex1)) | ((~v129(constB72, bitIndex0)) <=> v127(constB71, bitIndex0)))))),
% 6.71/4.63 inference(quant_inst,[status(thm)],[])).
% 6.71/4.63 tff(849,plain,
% 6.71/4.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB71, constB72)) | (~(((~v129(constB72, bitIndex2)) <=> v127(constB71, bitIndex2)) | ((~v129(constB72, bitIndex1)) <=> v127(constB71, bitIndex1)) | ((~v129(constB72, bitIndex0)) <=> v127(constB71, bitIndex0))))),
% 6.71/4.63 inference(modus_ponens,[status(thm)],[848, 847])).
% 6.71/4.63 tff(850,plain,
% 6.71/4.63 (~(((~v129(constB72, bitIndex2)) <=> v127(constB71, bitIndex2)) | ((~v129(constB72, bitIndex1)) <=> v127(constB71, bitIndex1)) | ((~v129(constB72, bitIndex0)) <=> v127(constB71, bitIndex0)))),
% 6.71/4.63 inference(unit_resolution,[status(thm)],[849, 846, 517])).
% 6.71/4.63 tff(851,plain,
% 6.71/4.63 ((((~v129(constB72, bitIndex2)) <=> v127(constB71, bitIndex2)) | ((~v129(constB72, bitIndex1)) <=> v127(constB71, bitIndex1)) | ((~v129(constB72, bitIndex0)) <=> v127(constB71, bitIndex0))) | (~((~v129(constB72, bitIndex2)) <=> v127(constB71, bitIndex2)))),
% 6.71/4.63 inference(tautology,[status(thm)],[])).
% 6.71/4.63 tff(852,plain,
% 6.71/4.63 (~((~v129(constB72, bitIndex2)) <=> v127(constB71, bitIndex2))),
% 6.71/4.63 inference(unit_resolution,[status(thm)],[851, 850])).
% 6.71/4.63 tff(853,plain,
% 6.71/4.63 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB71) <=> v26(constB71))),
% 6.71/4.63 inference(quant_inst,[status(thm)],[])).
% 6.71/4.63 tff(854,plain,
% 6.71/4.63 (v111(constB71) <=> v26(constB71)),
% 6.71/4.63 inference(unit_resolution,[status(thm)],[853, 536])).
% 6.71/4.63 tff(855,plain,
% 6.71/4.63 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB71))),
% 6.71/4.63 inference(quant_inst,[status(thm)],[])).
% 6.71/4.63 tff(856,plain,
% 6.71/4.63 (~v26(constB71)),
% 6.71/4.63 inference(unit_resolution,[status(thm)],[855, 548])).
% 6.71/4.63 tff(857,plain,
% 6.71/4.63 ((~(v111(constB71) <=> v26(constB71))) | (~v111(constB71)) | v26(constB71)),
% 6.71/4.63 inference(tautology,[status(thm)],[])).
% 6.71/4.63 tff(858,plain,
% 6.71/4.63 ((~(v111(constB71) <=> v26(constB71))) | (~v111(constB71))),
% 6.71/4.63 inference(unit_resolution,[status(thm)],[857, 856])).
% 6.71/4.63 tff(859,plain,
% 6.71/4.63 (~v111(constB71)),
% 6.71/4.63 inference(unit_resolution,[status(thm)],[858, 854])).
% 6.71/4.63 tff(860,plain,
% 6.71/4.63 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB71) | (~(((~v127(constB71, bitIndex2)) <=> v130(constB71, bitIndex2)) | ((~v127(constB71, bitIndex1)) <=> v130(constB71, bitIndex1)) | ((~v127(constB71, bitIndex0)) <=> v130(constB71, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB71) | (~(((~v127(constB71, bitIndex2)) <=> v130(constB71, bitIndex2)) | ((~v127(constB71, bitIndex1)) <=> v130(constB71, bitIndex1)) | ((~v127(constB71, bitIndex0)) <=> v130(constB71, bitIndex0)))))),
% 6.71/4.63 inference(rewrite,[status(thm)],[])).
% 6.71/4.63 tff(861,plain,
% 6.71/4.63 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB71) | (~(((~v127(constB71, bitIndex2)) <=> v130(constB71, bitIndex2)) | ((~v127(constB71, bitIndex1)) <=> v130(constB71, bitIndex1)) | ((~v127(constB71, bitIndex0)) <=> v130(constB71, bitIndex0)))))),
% 6.71/4.63 inference(quant_inst,[status(thm)],[])).
% 6.71/4.63 tff(862,plain,
% 6.71/4.63 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB71) | (~(((~v127(constB71, bitIndex2)) <=> v130(constB71, bitIndex2)) | ((~v127(constB71, bitIndex1)) <=> v130(constB71, bitIndex1)) | ((~v127(constB71, bitIndex0)) <=> v130(constB71, bitIndex0))))),
% 6.71/4.63 inference(modus_ponens,[status(thm)],[861, 860])).
% 6.71/4.63 tff(863,plain,
% 6.71/4.63 (v111(constB71) | (~(((~v127(constB71, bitIndex2)) <=> v130(constB71, bitIndex2)) | ((~v127(constB71, bitIndex1)) <=> v130(constB71, bitIndex1)) | ((~v127(constB71, bitIndex0)) <=> v130(constB71, bitIndex0))))),
% 6.71/4.63 inference(unit_resolution,[status(thm)],[862, 566])).
% 6.71/4.63 tff(864,plain,
% 6.71/4.63 (~(((~v127(constB71, bitIndex2)) <=> v130(constB71, bitIndex2)) | ((~v127(constB71, bitIndex1)) <=> v130(constB71, bitIndex1)) | ((~v127(constB71, bitIndex0)) <=> v130(constB71, bitIndex0)))),
% 6.71/4.63 inference(unit_resolution,[status(thm)],[863, 859])).
% 6.71/4.63 tff(865,plain,
% 6.71/4.63 ((((~v127(constB71, bitIndex2)) <=> v130(constB71, bitIndex2)) | ((~v127(constB71, bitIndex1)) <=> v130(constB71, bitIndex1)) | ((~v127(constB71, bitIndex0)) <=> v130(constB71, bitIndex0))) | (~((~v127(constB71, bitIndex2)) <=> v130(constB71, bitIndex2)))),
% 6.71/4.63 inference(tautology,[status(thm)],[])).
% 6.71/4.63 tff(866,plain,
% 6.71/4.63 (~((~v127(constB71, bitIndex2)) <=> v130(constB71, bitIndex2))),
% 6.71/4.63 inference(unit_resolution,[status(thm)],[865, 864])).
% 6.71/4.63 tff(867,plain,
% 6.71/4.63 (^[VarCurr: $i] : refl((v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1))))) <=> (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1))))))),
% 6.71/4.63 inference(bind,[status(th)],[])).
% 6.71/4.63 tff(868,plain,
% 6.71/4.63 (![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1))))) <=> ![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))),
% 6.71/4.63 inference(quant_intro,[status(thm)],[867])).
% 6.71/4.63 tff(869,plain,
% 6.71/4.63 (^[VarCurr: $i] : rewrite((v122(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & v90(VarCurr, bitIndex1) & v90(VarCurr, bitIndex0))) <=> (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1))))))),
% 6.71/4.63 inference(bind,[status(th)],[])).
% 6.71/4.63 tff(870,plain,
% 6.71/4.63 (![VarCurr: $i] : (v122(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & v90(VarCurr, bitIndex1) & v90(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))),
% 6.71/4.63 inference(quant_intro,[status(thm)],[869])).
% 6.71/4.63 tff(871,plain,
% 6.71/4.63 (![VarCurr: $i] : (v122(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & v90(VarCurr, bitIndex1) & v90(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : (v122(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & v90(VarCurr, bitIndex1) & v90(VarCurr, bitIndex0)))),
% 6.71/4.63 inference(rewrite,[status(thm)],[])).
% 6.71/4.63 tff(872,plain,
% 6.71/4.63 (^[VarCurr: $i] : rewrite((v122(VarCurr) <=> (((v90(VarCurr, bitIndex2) <=> $false) & (v90(VarCurr, bitIndex1) <=> $true)) & (v90(VarCurr, bitIndex0) <=> $true))) <=> (v122(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & v90(VarCurr, bitIndex1) & v90(VarCurr, bitIndex0))))),
% 6.71/4.63 inference(bind,[status(th)],[])).
% 6.71/4.63 tff(873,plain,
% 6.71/4.63 (![VarCurr: $i] : (v122(VarCurr) <=> (((v90(VarCurr, bitIndex2) <=> $false) & (v90(VarCurr, bitIndex1) <=> $true)) & (v90(VarCurr, bitIndex0) <=> $true))) <=> ![VarCurr: $i] : (v122(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & v90(VarCurr, bitIndex1) & v90(VarCurr, bitIndex0)))),
% 6.71/4.63 inference(quant_intro,[status(thm)],[872])).
% 6.71/4.63 tff(874,axiom,(![VarCurr: $i] : (v122(VarCurr) <=> (((v90(VarCurr, bitIndex2) <=> $false) & (v90(VarCurr, bitIndex1) <=> $true)) & (v90(VarCurr, bitIndex0) <=> $true)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_5')).
% 6.71/4.63 tff(875,plain,
% 6.71/4.63 (![VarCurr: $i] : (v122(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & v90(VarCurr, bitIndex1) & v90(VarCurr, bitIndex0)))),
% 6.71/4.63 inference(modus_ponens,[status(thm)],[874, 873])).
% 6.71/4.63 tff(876,plain,
% 6.71/4.63 (![VarCurr: $i] : (v122(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & v90(VarCurr, bitIndex1) & v90(VarCurr, bitIndex0)))),
% 6.71/4.63 inference(modus_ponens,[status(thm)],[875, 871])).
% 6.71/4.63 tff(877,plain,(
% 6.71/4.63 ![VarCurr: $i] : (v122(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & v90(VarCurr, bitIndex1) & v90(VarCurr, bitIndex0)))),
% 6.71/4.63 inference(skolemize,[status(sab)],[876])).
% 6.71/4.63 tff(878,plain,
% 6.71/4.63 (![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))),
% 6.71/4.63 inference(modus_ponens,[status(thm)],[877, 870])).
% 6.71/4.63 tff(879,plain,
% 6.71/4.63 (![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))),
% 6.71/4.63 inference(modus_ponens,[status(thm)],[878, 868])).
% 6.71/4.63 tff(880,plain,
% 6.71/4.63 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB71) <=> (~(v90(constB71, bitIndex2) | (~v90(constB71, bitIndex1)) | (~v90(constB71, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB71) <=> (~(v90(constB71, bitIndex2) | (~v90(constB71, bitIndex1)) | (~v90(constB71, bitIndex0))))))),
% 6.71/4.63 inference(rewrite,[status(thm)],[])).
% 6.71/4.63 tff(881,plain,
% 6.71/4.63 ((v122(constB71) <=> (~(v90(constB71, bitIndex2) | (~v90(constB71, bitIndex0)) | (~v90(constB71, bitIndex1))))) <=> (v122(constB71) <=> (~(v90(constB71, bitIndex2) | (~v90(constB71, bitIndex1)) | (~v90(constB71, bitIndex0)))))),
% 6.71/4.63 inference(rewrite,[status(thm)],[])).
% 6.71/4.63 tff(882,plain,
% 6.71/4.63 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB71) <=> (~(v90(constB71, bitIndex2) | (~v90(constB71, bitIndex0)) | (~v90(constB71, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB71) <=> (~(v90(constB71, bitIndex2) | (~v90(constB71, bitIndex1)) | (~v90(constB71, bitIndex0))))))),
% 6.71/4.63 inference(monotonicity,[status(thm)],[881])).
% 6.71/4.63 tff(883,plain,
% 6.71/4.63 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB71) <=> (~(v90(constB71, bitIndex2) | (~v90(constB71, bitIndex0)) | (~v90(constB71, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB71) <=> (~(v90(constB71, bitIndex2) | (~v90(constB71, bitIndex1)) | (~v90(constB71, bitIndex0))))))),
% 6.71/4.63 inference(transitivity,[status(thm)],[882, 880])).
% 6.71/4.63 tff(884,plain,
% 6.71/4.63 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB71) <=> (~(v90(constB71, bitIndex2) | (~v90(constB71, bitIndex0)) | (~v90(constB71, bitIndex1)))))),
% 6.71/4.63 inference(quant_inst,[status(thm)],[])).
% 6.71/4.63 tff(885,plain,
% 6.71/4.63 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB71) <=> (~(v90(constB71, bitIndex2) | (~v90(constB71, bitIndex1)) | (~v90(constB71, bitIndex0)))))),
% 6.71/4.63 inference(modus_ponens,[status(thm)],[884, 883])).
% 6.71/4.63 tff(886,plain,
% 6.71/4.63 (v122(constB71) <=> (~(v90(constB71, bitIndex2) | (~v90(constB71, bitIndex1)) | (~v90(constB71, bitIndex0))))),
% 6.71/4.63 inference(unit_resolution,[status(thm)],[885, 879])).
% 6.71/4.63 tff(887,plain,
% 6.71/4.63 (nextState(constB70, constB71) <=> nextState(constB70, constB71)),
% 6.71/4.63 inference(rewrite,[status(thm)],[])).
% 6.71/4.63 tff(888,axiom,(nextState(constB70, constB71)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_70')).
% 6.71/4.63 tff(889,plain,
% 6.71/4.63 (nextState(constB70, constB71)),
% 6.71/4.63 inference(modus_ponens,[status(thm)],[888, 887])).
% 6.71/4.63 tff(890,plain,
% 6.71/4.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB70, constB71)) | (v100(constB71) <=> (~((~v101(constB71)) | (~v110(constB71))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB70, constB71)) | (v100(constB71) <=> (~((~v101(constB71)) | (~v110(constB71))))))),
% 6.71/4.63 inference(rewrite,[status(thm)],[])).
% 6.71/4.63 tff(891,plain,
% 6.71/4.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB70, constB71)) | (v100(constB71) <=> (~((~v101(constB71)) | (~v110(constB71))))))),
% 6.71/4.63 inference(quant_inst,[status(thm)],[])).
% 6.71/4.63 tff(892,plain,
% 6.71/4.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB70, constB71)) | (v100(constB71) <=> (~((~v101(constB71)) | (~v110(constB71)))))),
% 6.71/4.63 inference(modus_ponens,[status(thm)],[891, 890])).
% 6.71/4.63 tff(893,plain,
% 6.71/4.63 (v100(constB71) <=> (~((~v101(constB71)) | (~v110(constB71))))),
% 6.71/4.63 inference(unit_resolution,[status(thm)],[892, 889, 445])).
% 6.71/4.63 tff(894,plain,
% 6.71/4.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB70, constB71)) | (v101(constB71) <=> (~((~v1(constB71)) | (~v102(constB71))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB70, constB71)) | (v101(constB71) <=> (~((~v1(constB71)) | (~v102(constB71))))))),
% 6.71/4.63 inference(rewrite,[status(thm)],[])).
% 6.71/4.63 tff(895,plain,
% 6.71/4.63 (((~nextState(constB70, constB71)) | (v101(constB71) <=> (~((~v102(constB71)) | (~v1(constB71)))))) <=> ((~nextState(constB70, constB71)) | (v101(constB71) <=> (~((~v1(constB71)) | (~v102(constB71))))))),
% 6.71/4.63 inference(rewrite,[status(thm)],[])).
% 6.71/4.63 tff(896,plain,
% 6.71/4.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB70, constB71)) | (v101(constB71) <=> (~((~v102(constB71)) | (~v1(constB71))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB70, constB71)) | (v101(constB71) <=> (~((~v1(constB71)) | (~v102(constB71)))))))),
% 6.71/4.64 inference(monotonicity,[status(thm)],[895])).
% 6.71/4.64 tff(897,plain,
% 6.71/4.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB70, constB71)) | (v101(constB71) <=> (~((~v102(constB71)) | (~v1(constB71))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB70, constB71)) | (v101(constB71) <=> (~((~v1(constB71)) | (~v102(constB71))))))),
% 6.71/4.64 inference(transitivity,[status(thm)],[896, 894])).
% 6.71/4.64 tff(898,plain,
% 6.71/4.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB70, constB71)) | (v101(constB71) <=> (~((~v102(constB71)) | (~v1(constB71))))))),
% 6.71/4.64 inference(quant_inst,[status(thm)],[])).
% 6.71/4.64 tff(899,plain,
% 6.71/4.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB70, constB71)) | (v101(constB71) <=> (~((~v1(constB71)) | (~v102(constB71)))))),
% 6.71/4.64 inference(modus_ponens,[status(thm)],[898, 897])).
% 6.71/4.64 tff(900,plain,
% 6.71/4.64 (v101(constB71) <=> (~((~v1(constB71)) | (~v102(constB71))))),
% 6.71/4.64 inference(unit_resolution,[status(thm)],[899, 889, 465])).
% 6.71/4.64 tff(901,plain,
% 6.71/4.64 ((~v1(constB71)) <=> (~v1(constB71))),
% 6.71/4.64 inference(rewrite,[status(thm)],[])).
% 6.71/4.64 tff(902,axiom,(~v1(constB71)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_71')).
% 6.71/4.64 tff(903,plain,
% 6.71/4.64 (~v1(constB71)),
% 6.71/4.64 inference(modus_ponens,[status(thm)],[902, 901])).
% 6.71/4.64 tff(904,plain,
% 6.71/4.64 (((~v1(constB71)) | (~v102(constB71))) | v1(constB71)),
% 6.71/4.64 inference(tautology,[status(thm)],[])).
% 6.71/4.64 tff(905,plain,
% 6.71/4.64 ((~v1(constB71)) | (~v102(constB71))),
% 6.71/4.64 inference(unit_resolution,[status(thm)],[904, 903])).
% 6.71/4.64 tff(906,plain,
% 6.71/4.64 ((~(v101(constB71) <=> (~((~v1(constB71)) | (~v102(constB71)))))) | (~v101(constB71)) | (~((~v1(constB71)) | (~v102(constB71))))),
% 6.71/4.64 inference(tautology,[status(thm)],[])).
% 6.71/4.64 tff(907,plain,
% 6.71/4.64 ((~(v101(constB71) <=> (~((~v1(constB71)) | (~v102(constB71)))))) | (~v101(constB71))),
% 6.71/4.64 inference(unit_resolution,[status(thm)],[906, 905])).
% 6.71/4.64 tff(908,plain,
% 6.71/4.64 (~v101(constB71)),
% 6.71/4.64 inference(unit_resolution,[status(thm)],[907, 900])).
% 6.71/4.64 tff(909,plain,
% 6.71/4.64 (((~v101(constB71)) | (~v110(constB71))) | v101(constB71)),
% 6.71/4.64 inference(tautology,[status(thm)],[])).
% 6.71/4.64 tff(910,plain,
% 6.71/4.64 ((~v101(constB71)) | (~v110(constB71))),
% 6.71/4.64 inference(unit_resolution,[status(thm)],[909, 908])).
% 6.71/4.64 tff(911,plain,
% 6.71/4.64 ((~(v100(constB71) <=> (~((~v101(constB71)) | (~v110(constB71)))))) | (~v100(constB71)) | (~((~v101(constB71)) | (~v110(constB71))))),
% 6.71/4.64 inference(tautology,[status(thm)],[])).
% 6.71/4.64 tff(912,plain,
% 6.71/4.64 (~v100(constB71)),
% 6.71/4.64 inference(unit_resolution,[status(thm)],[911, 910, 893])).
% 6.71/4.64 tff(913,plain,
% 6.71/4.64 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB71) | (~nextState(constB70, constB71)) | (~(((~v90(constB71, bitIndex1)) <=> v90(constB70, bitIndex1)) | ((~v90(constB71, bitIndex2)) <=> v90(constB70, bitIndex2)) | ((~v90(constB71, bitIndex0)) <=> v90(constB70, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB71) | (~nextState(constB70, constB71)) | (~(((~v90(constB71, bitIndex1)) <=> v90(constB70, bitIndex1)) | ((~v90(constB71, bitIndex2)) <=> v90(constB70, bitIndex2)) | ((~v90(constB71, bitIndex0)) <=> v90(constB70, bitIndex0)))))),
% 6.71/4.64 inference(rewrite,[status(thm)],[])).
% 6.71/4.64 tff(914,plain,
% 6.71/4.64 ((v100(constB71) | (~nextState(constB70, constB71)) | (~(((~v90(constB71, bitIndex2)) <=> v90(constB70, bitIndex2)) | ((~v90(constB71, bitIndex1)) <=> v90(constB70, bitIndex1)) | ((~v90(constB71, bitIndex0)) <=> v90(constB70, bitIndex0))))) <=> (v100(constB71) | (~nextState(constB70, constB71)) | (~(((~v90(constB71, bitIndex1)) <=> v90(constB70, bitIndex1)) | ((~v90(constB71, bitIndex2)) <=> v90(constB70, bitIndex2)) | ((~v90(constB71, bitIndex0)) <=> v90(constB70, bitIndex0)))))),
% 6.71/4.64 inference(rewrite,[status(thm)],[])).
% 6.71/4.64 tff(915,plain,
% 6.71/4.64 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB71) | (~nextState(constB70, constB71)) | (~(((~v90(constB71, bitIndex2)) <=> v90(constB70, bitIndex2)) | ((~v90(constB71, bitIndex1)) <=> v90(constB70, bitIndex1)) | ((~v90(constB71, bitIndex0)) <=> v90(constB70, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB71) | (~nextState(constB70, constB71)) | (~(((~v90(constB71, bitIndex1)) <=> v90(constB70, bitIndex1)) | ((~v90(constB71, bitIndex2)) <=> v90(constB70, bitIndex2)) | ((~v90(constB71, bitIndex0)) <=> v90(constB70, bitIndex0))))))),
% 6.71/4.64 inference(monotonicity,[status(thm)],[914])).
% 6.71/4.64 tff(916,plain,
% 6.71/4.64 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB71) | (~nextState(constB70, constB71)) | (~(((~v90(constB71, bitIndex2)) <=> v90(constB70, bitIndex2)) | ((~v90(constB71, bitIndex1)) <=> v90(constB70, bitIndex1)) | ((~v90(constB71, bitIndex0)) <=> v90(constB70, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB71) | (~nextState(constB70, constB71)) | (~(((~v90(constB71, bitIndex1)) <=> v90(constB70, bitIndex1)) | ((~v90(constB71, bitIndex2)) <=> v90(constB70, bitIndex2)) | ((~v90(constB71, bitIndex0)) <=> v90(constB70, bitIndex0)))))),
% 6.71/4.64 inference(transitivity,[status(thm)],[915, 913])).
% 6.71/4.64 tff(917,plain,
% 6.71/4.64 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB71) | (~nextState(constB70, constB71)) | (~(((~v90(constB71, bitIndex2)) <=> v90(constB70, bitIndex2)) | ((~v90(constB71, bitIndex1)) <=> v90(constB70, bitIndex1)) | ((~v90(constB71, bitIndex0)) <=> v90(constB70, bitIndex0)))))),
% 6.71/4.64 inference(quant_inst,[status(thm)],[])).
% 6.71/4.64 tff(918,plain,
% 6.71/4.64 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB71) | (~nextState(constB70, constB71)) | (~(((~v90(constB71, bitIndex1)) <=> v90(constB70, bitIndex1)) | ((~v90(constB71, bitIndex2)) <=> v90(constB70, bitIndex2)) | ((~v90(constB71, bitIndex0)) <=> v90(constB70, bitIndex0))))),
% 6.71/4.64 inference(modus_ponens,[status(thm)],[917, 916])).
% 6.71/4.64 tff(919,plain,
% 6.71/4.64 (v100(constB71) | (~(((~v90(constB71, bitIndex1)) <=> v90(constB70, bitIndex1)) | ((~v90(constB71, bitIndex2)) <=> v90(constB70, bitIndex2)) | ((~v90(constB71, bitIndex0)) <=> v90(constB70, bitIndex0))))),
% 6.71/4.64 inference(unit_resolution,[status(thm)],[918, 889, 494])).
% 6.71/4.64 tff(920,plain,
% 6.71/4.64 (~(((~v90(constB71, bitIndex1)) <=> v90(constB70, bitIndex1)) | ((~v90(constB71, bitIndex2)) <=> v90(constB70, bitIndex2)) | ((~v90(constB71, bitIndex0)) <=> v90(constB70, bitIndex0)))),
% 6.71/4.64 inference(unit_resolution,[status(thm)],[919, 912])).
% 6.71/4.64 tff(921,plain,
% 6.71/4.64 ((((~v90(constB71, bitIndex1)) <=> v90(constB70, bitIndex1)) | ((~v90(constB71, bitIndex2)) <=> v90(constB70, bitIndex2)) | ((~v90(constB71, bitIndex0)) <=> v90(constB70, bitIndex0))) | (~((~v90(constB71, bitIndex2)) <=> v90(constB70, bitIndex2)))),
% 6.71/4.64 inference(tautology,[status(thm)],[])).
% 6.71/4.64 tff(922,plain,
% 6.71/4.64 (~((~v90(constB71, bitIndex2)) <=> v90(constB70, bitIndex2))),
% 6.71/4.64 inference(unit_resolution,[status(thm)],[921, 920])).
% 6.71/4.64 tff(923,plain,
% 6.71/4.64 (nextState(constB69, constB70) <=> nextState(constB69, constB70)),
% 6.71/4.64 inference(rewrite,[status(thm)],[])).
% 6.71/4.64 tff(924,axiom,(nextState(constB69, constB70)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_69')).
% 6.71/4.64 tff(925,plain,
% 6.71/4.64 (nextState(constB69, constB70)),
% 6.71/4.64 inference(modus_ponens,[status(thm)],[924, 923])).
% 6.71/4.64 tff(926,plain,
% 6.71/4.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB69, constB70)) | (~(((~v129(constB70, bitIndex2)) <=> v127(constB69, bitIndex2)) | ((~v129(constB70, bitIndex1)) <=> v127(constB69, bitIndex1)) | ((~v129(constB70, bitIndex0)) <=> v127(constB69, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB69, constB70)) | (~(((~v129(constB70, bitIndex2)) <=> v127(constB69, bitIndex2)) | ((~v129(constB70, bitIndex1)) <=> v127(constB69, bitIndex1)) | ((~v129(constB70, bitIndex0)) <=> v127(constB69, bitIndex0)))))),
% 6.71/4.64 inference(rewrite,[status(thm)],[])).
% 6.71/4.64 tff(927,plain,
% 6.71/4.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB69, constB70)) | (~(((~v129(constB70, bitIndex2)) <=> v127(constB69, bitIndex2)) | ((~v129(constB70, bitIndex1)) <=> v127(constB69, bitIndex1)) | ((~v129(constB70, bitIndex0)) <=> v127(constB69, bitIndex0)))))),
% 6.71/4.64 inference(quant_inst,[status(thm)],[])).
% 6.71/4.64 tff(928,plain,
% 6.71/4.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB69, constB70)) | (~(((~v129(constB70, bitIndex2)) <=> v127(constB69, bitIndex2)) | ((~v129(constB70, bitIndex1)) <=> v127(constB69, bitIndex1)) | ((~v129(constB70, bitIndex0)) <=> v127(constB69, bitIndex0))))),
% 6.71/4.64 inference(modus_ponens,[status(thm)],[927, 926])).
% 6.71/4.64 tff(929,plain,
% 6.71/4.64 (~(((~v129(constB70, bitIndex2)) <=> v127(constB69, bitIndex2)) | ((~v129(constB70, bitIndex1)) <=> v127(constB69, bitIndex1)) | ((~v129(constB70, bitIndex0)) <=> v127(constB69, bitIndex0)))),
% 6.71/4.64 inference(unit_resolution,[status(thm)],[928, 925, 517])).
% 6.71/4.64 tff(930,plain,
% 6.71/4.64 ((((~v129(constB70, bitIndex2)) <=> v127(constB69, bitIndex2)) | ((~v129(constB70, bitIndex1)) <=> v127(constB69, bitIndex1)) | ((~v129(constB70, bitIndex0)) <=> v127(constB69, bitIndex0))) | (~((~v129(constB70, bitIndex2)) <=> v127(constB69, bitIndex2)))),
% 6.71/4.64 inference(tautology,[status(thm)],[])).
% 6.71/4.64 tff(931,plain,
% 6.71/4.64 (~((~v129(constB70, bitIndex2)) <=> v127(constB69, bitIndex2))),
% 6.71/4.64 inference(unit_resolution,[status(thm)],[930, 929])).
% 6.71/4.64 tff(932,plain,
% 6.71/4.64 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB69) <=> v26(constB69))),
% 6.71/4.64 inference(quant_inst,[status(thm)],[])).
% 6.71/4.64 tff(933,plain,
% 6.71/4.64 (v111(constB69) <=> v26(constB69)),
% 6.71/4.64 inference(unit_resolution,[status(thm)],[932, 536])).
% 6.71/4.64 tff(934,plain,
% 6.71/4.64 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB69))),
% 6.71/4.64 inference(quant_inst,[status(thm)],[])).
% 6.71/4.64 tff(935,plain,
% 6.71/4.64 (~v26(constB69)),
% 6.71/4.64 inference(unit_resolution,[status(thm)],[934, 548])).
% 6.71/4.64 tff(936,plain,
% 6.71/4.64 ((~(v111(constB69) <=> v26(constB69))) | (~v111(constB69)) | v26(constB69)),
% 6.71/4.64 inference(tautology,[status(thm)],[])).
% 6.71/4.64 tff(937,plain,
% 6.71/4.64 ((~(v111(constB69) <=> v26(constB69))) | (~v111(constB69))),
% 6.71/4.64 inference(unit_resolution,[status(thm)],[936, 935])).
% 6.71/4.64 tff(938,plain,
% 6.71/4.64 (~v111(constB69)),
% 6.71/4.64 inference(unit_resolution,[status(thm)],[937, 933])).
% 6.71/4.64 tff(939,plain,
% 6.71/4.64 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB69) | (~(((~v127(constB69, bitIndex2)) <=> v130(constB69, bitIndex2)) | ((~v127(constB69, bitIndex1)) <=> v130(constB69, bitIndex1)) | ((~v127(constB69, bitIndex0)) <=> v130(constB69, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB69) | (~(((~v127(constB69, bitIndex2)) <=> v130(constB69, bitIndex2)) | ((~v127(constB69, bitIndex1)) <=> v130(constB69, bitIndex1)) | ((~v127(constB69, bitIndex0)) <=> v130(constB69, bitIndex0)))))),
% 6.71/4.64 inference(rewrite,[status(thm)],[])).
% 6.71/4.64 tff(940,plain,
% 6.71/4.64 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB69) | (~(((~v127(constB69, bitIndex2)) <=> v130(constB69, bitIndex2)) | ((~v127(constB69, bitIndex1)) <=> v130(constB69, bitIndex1)) | ((~v127(constB69, bitIndex0)) <=> v130(constB69, bitIndex0)))))),
% 6.71/4.64 inference(quant_inst,[status(thm)],[])).
% 6.71/4.64 tff(941,plain,
% 6.71/4.64 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB69) | (~(((~v127(constB69, bitIndex2)) <=> v130(constB69, bitIndex2)) | ((~v127(constB69, bitIndex1)) <=> v130(constB69, bitIndex1)) | ((~v127(constB69, bitIndex0)) <=> v130(constB69, bitIndex0))))),
% 6.71/4.64 inference(modus_ponens,[status(thm)],[940, 939])).
% 6.71/4.64 tff(942,plain,
% 6.71/4.64 (v111(constB69) | (~(((~v127(constB69, bitIndex2)) <=> v130(constB69, bitIndex2)) | ((~v127(constB69, bitIndex1)) <=> v130(constB69, bitIndex1)) | ((~v127(constB69, bitIndex0)) <=> v130(constB69, bitIndex0))))),
% 6.71/4.64 inference(unit_resolution,[status(thm)],[941, 566])).
% 6.71/4.64 tff(943,plain,
% 6.71/4.64 (~(((~v127(constB69, bitIndex2)) <=> v130(constB69, bitIndex2)) | ((~v127(constB69, bitIndex1)) <=> v130(constB69, bitIndex1)) | ((~v127(constB69, bitIndex0)) <=> v130(constB69, bitIndex0)))),
% 6.71/4.64 inference(unit_resolution,[status(thm)],[942, 938])).
% 6.71/4.64 tff(944,plain,
% 6.71/4.64 ((((~v127(constB69, bitIndex2)) <=> v130(constB69, bitIndex2)) | ((~v127(constB69, bitIndex1)) <=> v130(constB69, bitIndex1)) | ((~v127(constB69, bitIndex0)) <=> v130(constB69, bitIndex0))) | (~((~v127(constB69, bitIndex2)) <=> v130(constB69, bitIndex2)))),
% 6.71/4.64 inference(tautology,[status(thm)],[])).
% 6.71/4.64 tff(945,plain,
% 6.71/4.64 (~((~v127(constB69, bitIndex2)) <=> v130(constB69, bitIndex2))),
% 6.71/4.64 inference(unit_resolution,[status(thm)],[944, 943])).
% 6.71/4.64 tff(946,plain,
% 6.71/4.64 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB69) <=> (~(v90(constB69, bitIndex2) | v90(constB69, bitIndex0) | (~v90(constB69, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB69) <=> (~(v90(constB69, bitIndex2) | v90(constB69, bitIndex0) | (~v90(constB69, bitIndex1))))))),
% 6.71/4.64 inference(rewrite,[status(thm)],[])).
% 6.71/4.64 tff(947,plain,
% 6.71/4.64 ((v121(constB69) <=> (~(v90(constB69, bitIndex0) | v90(constB69, bitIndex2) | (~v90(constB69, bitIndex1))))) <=> (v121(constB69) <=> (~(v90(constB69, bitIndex2) | v90(constB69, bitIndex0) | (~v90(constB69, bitIndex1)))))),
% 6.71/4.64 inference(rewrite,[status(thm)],[])).
% 6.71/4.64 tff(948,plain,
% 6.71/4.64 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB69) <=> (~(v90(constB69, bitIndex0) | v90(constB69, bitIndex2) | (~v90(constB69, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB69) <=> (~(v90(constB69, bitIndex2) | v90(constB69, bitIndex0) | (~v90(constB69, bitIndex1))))))),
% 6.71/4.64 inference(monotonicity,[status(thm)],[947])).
% 6.71/4.64 tff(949,plain,
% 6.71/4.64 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB69) <=> (~(v90(constB69, bitIndex0) | v90(constB69, bitIndex2) | (~v90(constB69, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB69) <=> (~(v90(constB69, bitIndex2) | v90(constB69, bitIndex0) | (~v90(constB69, bitIndex1))))))),
% 6.71/4.64 inference(transitivity,[status(thm)],[948, 946])).
% 6.71/4.64 tff(950,plain,
% 6.71/4.64 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB69) <=> (~(v90(constB69, bitIndex0) | v90(constB69, bitIndex2) | (~v90(constB69, bitIndex1)))))),
% 6.71/4.64 inference(quant_inst,[status(thm)],[])).
% 6.71/4.64 tff(951,plain,
% 6.71/4.64 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB69) <=> (~(v90(constB69, bitIndex2) | v90(constB69, bitIndex0) | (~v90(constB69, bitIndex1)))))),
% 6.71/4.64 inference(modus_ponens,[status(thm)],[950, 949])).
% 6.71/4.64 tff(952,plain,
% 6.71/4.64 (v121(constB69) <=> (~(v90(constB69, bitIndex2) | v90(constB69, bitIndex0) | (~v90(constB69, bitIndex1))))),
% 6.71/4.64 inference(unit_resolution,[status(thm)],[951, 586])).
% 6.71/4.64 tff(953,plain,
% 6.71/4.64 (nextState(constB68, constB69) <=> nextState(constB68, constB69)),
% 6.71/4.64 inference(rewrite,[status(thm)],[])).
% 6.71/4.64 tff(954,axiom,(nextState(constB68, constB69)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_68')).
% 6.71/4.64 tff(955,plain,
% 6.71/4.64 (nextState(constB68, constB69)),
% 6.71/4.64 inference(modus_ponens,[status(thm)],[954, 953])).
% 6.71/4.64 tff(956,plain,
% 6.71/4.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB68, constB69)) | (v100(constB69) <=> (~((~v101(constB69)) | (~v110(constB69))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB68, constB69)) | (v100(constB69) <=> (~((~v101(constB69)) | (~v110(constB69))))))),
% 6.71/4.64 inference(rewrite,[status(thm)],[])).
% 6.71/4.64 tff(957,plain,
% 6.71/4.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB68, constB69)) | (v100(constB69) <=> (~((~v101(constB69)) | (~v110(constB69))))))),
% 6.71/4.64 inference(quant_inst,[status(thm)],[])).
% 6.71/4.64 tff(958,plain,
% 6.71/4.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB68, constB69)) | (v100(constB69) <=> (~((~v101(constB69)) | (~v110(constB69)))))),
% 6.71/4.64 inference(modus_ponens,[status(thm)],[957, 956])).
% 6.71/4.64 tff(959,plain,
% 6.71/4.64 (v100(constB69) <=> (~((~v101(constB69)) | (~v110(constB69))))),
% 6.71/4.64 inference(unit_resolution,[status(thm)],[958, 955, 445])).
% 6.71/4.64 tff(960,plain,
% 6.71/4.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB68, constB69)) | (v101(constB69) <=> (~((~v1(constB69)) | (~v102(constB69))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB68, constB69)) | (v101(constB69) <=> (~((~v1(constB69)) | (~v102(constB69))))))),
% 6.71/4.64 inference(rewrite,[status(thm)],[])).
% 6.71/4.64 tff(961,plain,
% 6.71/4.64 (((~nextState(constB68, constB69)) | (v101(constB69) <=> (~((~v102(constB69)) | (~v1(constB69)))))) <=> ((~nextState(constB68, constB69)) | (v101(constB69) <=> (~((~v1(constB69)) | (~v102(constB69))))))),
% 6.71/4.64 inference(rewrite,[status(thm)],[])).
% 6.71/4.64 tff(962,plain,
% 6.71/4.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB68, constB69)) | (v101(constB69) <=> (~((~v102(constB69)) | (~v1(constB69))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB68, constB69)) | (v101(constB69) <=> (~((~v1(constB69)) | (~v102(constB69)))))))),
% 6.71/4.64 inference(monotonicity,[status(thm)],[961])).
% 6.71/4.64 tff(963,plain,
% 6.71/4.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB68, constB69)) | (v101(constB69) <=> (~((~v102(constB69)) | (~v1(constB69))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB68, constB69)) | (v101(constB69) <=> (~((~v1(constB69)) | (~v102(constB69))))))),
% 6.71/4.64 inference(transitivity,[status(thm)],[962, 960])).
% 6.71/4.64 tff(964,plain,
% 6.71/4.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB68, constB69)) | (v101(constB69) <=> (~((~v102(constB69)) | (~v1(constB69))))))),
% 6.71/4.64 inference(quant_inst,[status(thm)],[])).
% 6.71/4.64 tff(965,plain,
% 6.71/4.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB68, constB69)) | (v101(constB69) <=> (~((~v1(constB69)) | (~v102(constB69)))))),
% 6.71/4.64 inference(modus_ponens,[status(thm)],[964, 963])).
% 6.71/4.64 tff(966,plain,
% 6.71/4.64 (v101(constB69) <=> (~((~v1(constB69)) | (~v102(constB69))))),
% 6.71/4.64 inference(unit_resolution,[status(thm)],[965, 955, 465])).
% 6.71/4.64 tff(967,plain,
% 6.71/4.64 ((~v1(constB69)) <=> (~v1(constB69))),
% 6.71/4.64 inference(rewrite,[status(thm)],[])).
% 6.71/4.64 tff(968,axiom,(~v1(constB69)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_69')).
% 6.71/4.64 tff(969,plain,
% 6.71/4.64 (~v1(constB69)),
% 6.71/4.64 inference(modus_ponens,[status(thm)],[968, 967])).
% 6.71/4.64 tff(970,plain,
% 6.71/4.64 (((~v1(constB69)) | (~v102(constB69))) | v1(constB69)),
% 6.71/4.64 inference(tautology,[status(thm)],[])).
% 6.71/4.64 tff(971,plain,
% 6.71/4.64 ((~v1(constB69)) | (~v102(constB69))),
% 6.71/4.64 inference(unit_resolution,[status(thm)],[970, 969])).
% 6.71/4.64 tff(972,plain,
% 6.71/4.64 ((~(v101(constB69) <=> (~((~v1(constB69)) | (~v102(constB69)))))) | (~v101(constB69)) | (~((~v1(constB69)) | (~v102(constB69))))),
% 6.71/4.64 inference(tautology,[status(thm)],[])).
% 6.71/4.64 tff(973,plain,
% 6.71/4.64 ((~(v101(constB69) <=> (~((~v1(constB69)) | (~v102(constB69)))))) | (~v101(constB69))),
% 6.71/4.64 inference(unit_resolution,[status(thm)],[972, 971])).
% 6.71/4.64 tff(974,plain,
% 6.71/4.64 (~v101(constB69)),
% 6.71/4.64 inference(unit_resolution,[status(thm)],[973, 966])).
% 6.71/4.64 tff(975,plain,
% 6.71/4.64 (((~v101(constB69)) | (~v110(constB69))) | v101(constB69)),
% 6.71/4.64 inference(tautology,[status(thm)],[])).
% 6.71/4.64 tff(976,plain,
% 6.71/4.64 ((~v101(constB69)) | (~v110(constB69))),
% 6.71/4.64 inference(unit_resolution,[status(thm)],[975, 974])).
% 6.71/4.64 tff(977,plain,
% 6.71/4.64 ((~(v100(constB69) <=> (~((~v101(constB69)) | (~v110(constB69)))))) | (~v100(constB69)) | (~((~v101(constB69)) | (~v110(constB69))))),
% 6.71/4.64 inference(tautology,[status(thm)],[])).
% 6.71/4.64 tff(978,plain,
% 6.71/4.64 (~v100(constB69)),
% 6.71/4.64 inference(unit_resolution,[status(thm)],[977, 976, 959])).
% 6.71/4.64 tff(979,plain,
% 6.71/4.64 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB69) | (~nextState(constB68, constB69)) | (~(((~v90(constB69, bitIndex1)) <=> v90(constB68, bitIndex1)) | ((~v90(constB69, bitIndex2)) <=> v90(constB68, bitIndex2)) | ((~v90(constB69, bitIndex0)) <=> v90(constB68, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB69) | (~nextState(constB68, constB69)) | (~(((~v90(constB69, bitIndex1)) <=> v90(constB68, bitIndex1)) | ((~v90(constB69, bitIndex2)) <=> v90(constB68, bitIndex2)) | ((~v90(constB69, bitIndex0)) <=> v90(constB68, bitIndex0)))))),
% 6.71/4.64 inference(rewrite,[status(thm)],[])).
% 6.71/4.64 tff(980,plain,
% 6.71/4.64 ((v100(constB69) | (~nextState(constB68, constB69)) | (~(((~v90(constB69, bitIndex2)) <=> v90(constB68, bitIndex2)) | ((~v90(constB69, bitIndex1)) <=> v90(constB68, bitIndex1)) | ((~v90(constB69, bitIndex0)) <=> v90(constB68, bitIndex0))))) <=> (v100(constB69) | (~nextState(constB68, constB69)) | (~(((~v90(constB69, bitIndex1)) <=> v90(constB68, bitIndex1)) | ((~v90(constB69, bitIndex2)) <=> v90(constB68, bitIndex2)) | ((~v90(constB69, bitIndex0)) <=> v90(constB68, bitIndex0)))))),
% 6.71/4.64 inference(rewrite,[status(thm)],[])).
% 6.71/4.64 tff(981,plain,
% 6.71/4.64 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB69) | (~nextState(constB68, constB69)) | (~(((~v90(constB69, bitIndex2)) <=> v90(constB68, bitIndex2)) | ((~v90(constB69, bitIndex1)) <=> v90(constB68, bitIndex1)) | ((~v90(constB69, bitIndex0)) <=> v90(constB68, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB69) | (~nextState(constB68, constB69)) | (~(((~v90(constB69, bitIndex1)) <=> v90(constB68, bitIndex1)) | ((~v90(constB69, bitIndex2)) <=> v90(constB68, bitIndex2)) | ((~v90(constB69, bitIndex0)) <=> v90(constB68, bitIndex0))))))),
% 6.71/4.64 inference(monotonicity,[status(thm)],[980])).
% 6.71/4.64 tff(982,plain,
% 6.71/4.64 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB69) | (~nextState(constB68, constB69)) | (~(((~v90(constB69, bitIndex2)) <=> v90(constB68, bitIndex2)) | ((~v90(constB69, bitIndex1)) <=> v90(constB68, bitIndex1)) | ((~v90(constB69, bitIndex0)) <=> v90(constB68, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB69) | (~nextState(constB68, constB69)) | (~(((~v90(constB69, bitIndex1)) <=> v90(constB68, bitIndex1)) | ((~v90(constB69, bitIndex2)) <=> v90(constB68, bitIndex2)) | ((~v90(constB69, bitIndex0)) <=> v90(constB68, bitIndex0)))))),
% 6.71/4.64 inference(transitivity,[status(thm)],[981, 979])).
% 6.71/4.64 tff(983,plain,
% 6.71/4.64 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB69) | (~nextState(constB68, constB69)) | (~(((~v90(constB69, bitIndex2)) <=> v90(constB68, bitIndex2)) | ((~v90(constB69, bitIndex1)) <=> v90(constB68, bitIndex1)) | ((~v90(constB69, bitIndex0)) <=> v90(constB68, bitIndex0)))))),
% 6.71/4.65 inference(quant_inst,[status(thm)],[])).
% 6.71/4.65 tff(984,plain,
% 6.71/4.65 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB69) | (~nextState(constB68, constB69)) | (~(((~v90(constB69, bitIndex1)) <=> v90(constB68, bitIndex1)) | ((~v90(constB69, bitIndex2)) <=> v90(constB68, bitIndex2)) | ((~v90(constB69, bitIndex0)) <=> v90(constB68, bitIndex0))))),
% 6.71/4.65 inference(modus_ponens,[status(thm)],[983, 982])).
% 6.71/4.65 tff(985,plain,
% 6.71/4.65 (v100(constB69) | (~(((~v90(constB69, bitIndex1)) <=> v90(constB68, bitIndex1)) | ((~v90(constB69, bitIndex2)) <=> v90(constB68, bitIndex2)) | ((~v90(constB69, bitIndex0)) <=> v90(constB68, bitIndex0))))),
% 6.71/4.65 inference(unit_resolution,[status(thm)],[984, 955, 494])).
% 6.71/4.65 tff(986,plain,
% 6.71/4.65 (~(((~v90(constB69, bitIndex1)) <=> v90(constB68, bitIndex1)) | ((~v90(constB69, bitIndex2)) <=> v90(constB68, bitIndex2)) | ((~v90(constB69, bitIndex0)) <=> v90(constB68, bitIndex0)))),
% 6.71/4.65 inference(unit_resolution,[status(thm)],[985, 978])).
% 6.71/4.65 tff(987,plain,
% 6.71/4.65 ((((~v90(constB69, bitIndex1)) <=> v90(constB68, bitIndex1)) | ((~v90(constB69, bitIndex2)) <=> v90(constB68, bitIndex2)) | ((~v90(constB69, bitIndex0)) <=> v90(constB68, bitIndex0))) | (~((~v90(constB69, bitIndex2)) <=> v90(constB68, bitIndex2)))),
% 6.71/4.65 inference(tautology,[status(thm)],[])).
% 6.71/4.65 tff(988,plain,
% 6.71/4.65 (~((~v90(constB69, bitIndex2)) <=> v90(constB68, bitIndex2))),
% 6.71/4.65 inference(unit_resolution,[status(thm)],[987, 986])).
% 6.71/4.65 tff(989,plain,
% 6.71/4.65 (nextState(constB67, constB68) <=> nextState(constB67, constB68)),
% 6.71/4.65 inference(rewrite,[status(thm)],[])).
% 6.71/4.65 tff(990,axiom,(nextState(constB67, constB68)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_67')).
% 6.71/4.65 tff(991,plain,
% 6.71/4.65 (nextState(constB67, constB68)),
% 6.71/4.65 inference(modus_ponens,[status(thm)],[990, 989])).
% 6.71/4.65 tff(992,plain,
% 6.71/4.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB67, constB68)) | (~(((~v129(constB68, bitIndex2)) <=> v127(constB67, bitIndex2)) | ((~v129(constB68, bitIndex1)) <=> v127(constB67, bitIndex1)) | ((~v129(constB68, bitIndex0)) <=> v127(constB67, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB67, constB68)) | (~(((~v129(constB68, bitIndex2)) <=> v127(constB67, bitIndex2)) | ((~v129(constB68, bitIndex1)) <=> v127(constB67, bitIndex1)) | ((~v129(constB68, bitIndex0)) <=> v127(constB67, bitIndex0)))))),
% 6.71/4.65 inference(rewrite,[status(thm)],[])).
% 6.71/4.65 tff(993,plain,
% 6.71/4.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB67, constB68)) | (~(((~v129(constB68, bitIndex2)) <=> v127(constB67, bitIndex2)) | ((~v129(constB68, bitIndex1)) <=> v127(constB67, bitIndex1)) | ((~v129(constB68, bitIndex0)) <=> v127(constB67, bitIndex0)))))),
% 6.71/4.65 inference(quant_inst,[status(thm)],[])).
% 6.71/4.65 tff(994,plain,
% 6.71/4.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB67, constB68)) | (~(((~v129(constB68, bitIndex2)) <=> v127(constB67, bitIndex2)) | ((~v129(constB68, bitIndex1)) <=> v127(constB67, bitIndex1)) | ((~v129(constB68, bitIndex0)) <=> v127(constB67, bitIndex0))))),
% 6.71/4.65 inference(modus_ponens,[status(thm)],[993, 992])).
% 6.71/4.65 tff(995,plain,
% 6.71/4.65 (~(((~v129(constB68, bitIndex2)) <=> v127(constB67, bitIndex2)) | ((~v129(constB68, bitIndex1)) <=> v127(constB67, bitIndex1)) | ((~v129(constB68, bitIndex0)) <=> v127(constB67, bitIndex0)))),
% 6.71/4.65 inference(unit_resolution,[status(thm)],[994, 991, 517])).
% 6.71/4.65 tff(996,plain,
% 6.71/4.65 ((((~v129(constB68, bitIndex2)) <=> v127(constB67, bitIndex2)) | ((~v129(constB68, bitIndex1)) <=> v127(constB67, bitIndex1)) | ((~v129(constB68, bitIndex0)) <=> v127(constB67, bitIndex0))) | (~((~v129(constB68, bitIndex2)) <=> v127(constB67, bitIndex2)))),
% 6.71/4.65 inference(tautology,[status(thm)],[])).
% 6.71/4.65 tff(997,plain,
% 6.71/4.65 (~((~v129(constB68, bitIndex2)) <=> v127(constB67, bitIndex2))),
% 6.71/4.65 inference(unit_resolution,[status(thm)],[996, 995])).
% 6.71/4.65 tff(998,plain,
% 6.71/4.65 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB67) <=> v26(constB67))),
% 6.71/4.65 inference(quant_inst,[status(thm)],[])).
% 6.71/4.65 tff(999,plain,
% 6.71/4.65 (v111(constB67) <=> v26(constB67)),
% 6.71/4.65 inference(unit_resolution,[status(thm)],[998, 536])).
% 6.71/4.65 tff(1000,plain,
% 6.71/4.65 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB67))),
% 6.71/4.65 inference(quant_inst,[status(thm)],[])).
% 6.71/4.65 tff(1001,plain,
% 6.71/4.65 (~v26(constB67)),
% 6.71/4.65 inference(unit_resolution,[status(thm)],[1000, 548])).
% 6.71/4.65 tff(1002,plain,
% 6.71/4.65 ((~(v111(constB67) <=> v26(constB67))) | (~v111(constB67)) | v26(constB67)),
% 6.71/4.65 inference(tautology,[status(thm)],[])).
% 6.71/4.65 tff(1003,plain,
% 6.71/4.65 ((~(v111(constB67) <=> v26(constB67))) | (~v111(constB67))),
% 6.71/4.65 inference(unit_resolution,[status(thm)],[1002, 1001])).
% 6.71/4.65 tff(1004,plain,
% 6.71/4.65 (~v111(constB67)),
% 6.71/4.65 inference(unit_resolution,[status(thm)],[1003, 999])).
% 6.71/4.65 tff(1005,plain,
% 6.71/4.65 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB67) | (~(((~v127(constB67, bitIndex2)) <=> v130(constB67, bitIndex2)) | ((~v127(constB67, bitIndex1)) <=> v130(constB67, bitIndex1)) | ((~v127(constB67, bitIndex0)) <=> v130(constB67, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB67) | (~(((~v127(constB67, bitIndex2)) <=> v130(constB67, bitIndex2)) | ((~v127(constB67, bitIndex1)) <=> v130(constB67, bitIndex1)) | ((~v127(constB67, bitIndex0)) <=> v130(constB67, bitIndex0)))))),
% 6.71/4.65 inference(rewrite,[status(thm)],[])).
% 6.71/4.65 tff(1006,plain,
% 6.71/4.65 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB67) | (~(((~v127(constB67, bitIndex2)) <=> v130(constB67, bitIndex2)) | ((~v127(constB67, bitIndex1)) <=> v130(constB67, bitIndex1)) | ((~v127(constB67, bitIndex0)) <=> v130(constB67, bitIndex0)))))),
% 6.71/4.65 inference(quant_inst,[status(thm)],[])).
% 6.71/4.65 tff(1007,plain,
% 6.71/4.65 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB67) | (~(((~v127(constB67, bitIndex2)) <=> v130(constB67, bitIndex2)) | ((~v127(constB67, bitIndex1)) <=> v130(constB67, bitIndex1)) | ((~v127(constB67, bitIndex0)) <=> v130(constB67, bitIndex0))))),
% 6.71/4.65 inference(modus_ponens,[status(thm)],[1006, 1005])).
% 6.71/4.65 tff(1008,plain,
% 6.71/4.65 (v111(constB67) | (~(((~v127(constB67, bitIndex2)) <=> v130(constB67, bitIndex2)) | ((~v127(constB67, bitIndex1)) <=> v130(constB67, bitIndex1)) | ((~v127(constB67, bitIndex0)) <=> v130(constB67, bitIndex0))))),
% 6.71/4.65 inference(unit_resolution,[status(thm)],[1007, 566])).
% 6.71/4.65 tff(1009,plain,
% 6.71/4.65 (~(((~v127(constB67, bitIndex2)) <=> v130(constB67, bitIndex2)) | ((~v127(constB67, bitIndex1)) <=> v130(constB67, bitIndex1)) | ((~v127(constB67, bitIndex0)) <=> v130(constB67, bitIndex0)))),
% 6.71/4.65 inference(unit_resolution,[status(thm)],[1008, 1004])).
% 6.71/4.65 tff(1010,plain,
% 6.71/4.65 ((((~v127(constB67, bitIndex2)) <=> v130(constB67, bitIndex2)) | ((~v127(constB67, bitIndex1)) <=> v130(constB67, bitIndex1)) | ((~v127(constB67, bitIndex0)) <=> v130(constB67, bitIndex0))) | (~((~v127(constB67, bitIndex2)) <=> v130(constB67, bitIndex2)))),
% 6.71/4.65 inference(tautology,[status(thm)],[])).
% 6.71/4.65 tff(1011,plain,
% 6.71/4.65 (~((~v127(constB67, bitIndex2)) <=> v130(constB67, bitIndex2))),
% 6.71/4.65 inference(unit_resolution,[status(thm)],[1010, 1009])).
% 6.71/4.65 tff(1012,plain,
% 6.71/4.65 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB67) <=> (~(v90(constB67, bitIndex1) | v90(constB67, bitIndex2) | (~v90(constB67, bitIndex0)))))),
% 6.71/4.65 inference(quant_inst,[status(thm)],[])).
% 6.71/4.65 tff(1013,plain,
% 6.71/4.65 (v120(constB67) <=> (~(v90(constB67, bitIndex1) | v90(constB67, bitIndex2) | (~v90(constB67, bitIndex0))))),
% 6.71/4.65 inference(unit_resolution,[status(thm)],[1012, 665])).
% 6.71/4.65 tff(1014,plain,
% 6.71/4.65 (nextState(constB66, constB67) <=> nextState(constB66, constB67)),
% 6.71/4.65 inference(rewrite,[status(thm)],[])).
% 6.71/4.65 tff(1015,axiom,(nextState(constB66, constB67)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_66')).
% 6.71/4.65 tff(1016,plain,
% 6.71/4.65 (nextState(constB66, constB67)),
% 6.71/4.65 inference(modus_ponens,[status(thm)],[1015, 1014])).
% 6.71/4.65 tff(1017,plain,
% 6.71/4.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB66, constB67)) | (v100(constB67) <=> (~((~v101(constB67)) | (~v110(constB67))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB66, constB67)) | (v100(constB67) <=> (~((~v101(constB67)) | (~v110(constB67))))))),
% 6.71/4.65 inference(rewrite,[status(thm)],[])).
% 6.71/4.65 tff(1018,plain,
% 6.71/4.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB66, constB67)) | (v100(constB67) <=> (~((~v101(constB67)) | (~v110(constB67))))))),
% 6.71/4.65 inference(quant_inst,[status(thm)],[])).
% 6.71/4.65 tff(1019,plain,
% 6.71/4.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB66, constB67)) | (v100(constB67) <=> (~((~v101(constB67)) | (~v110(constB67)))))),
% 6.71/4.65 inference(modus_ponens,[status(thm)],[1018, 1017])).
% 6.71/4.65 tff(1020,plain,
% 6.71/4.65 (v100(constB67) <=> (~((~v101(constB67)) | (~v110(constB67))))),
% 6.71/4.65 inference(unit_resolution,[status(thm)],[1019, 1016, 445])).
% 6.71/4.65 tff(1021,plain,
% 6.71/4.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB66, constB67)) | (v101(constB67) <=> (~((~v1(constB67)) | (~v102(constB67))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB66, constB67)) | (v101(constB67) <=> (~((~v1(constB67)) | (~v102(constB67))))))),
% 6.71/4.65 inference(rewrite,[status(thm)],[])).
% 6.71/4.65 tff(1022,plain,
% 6.71/4.65 (((~nextState(constB66, constB67)) | (v101(constB67) <=> (~((~v102(constB67)) | (~v1(constB67)))))) <=> ((~nextState(constB66, constB67)) | (v101(constB67) <=> (~((~v1(constB67)) | (~v102(constB67))))))),
% 6.71/4.65 inference(rewrite,[status(thm)],[])).
% 6.71/4.65 tff(1023,plain,
% 6.71/4.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB66, constB67)) | (v101(constB67) <=> (~((~v102(constB67)) | (~v1(constB67))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB66, constB67)) | (v101(constB67) <=> (~((~v1(constB67)) | (~v102(constB67)))))))),
% 6.71/4.65 inference(monotonicity,[status(thm)],[1022])).
% 6.71/4.65 tff(1024,plain,
% 6.71/4.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB66, constB67)) | (v101(constB67) <=> (~((~v102(constB67)) | (~v1(constB67))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB66, constB67)) | (v101(constB67) <=> (~((~v1(constB67)) | (~v102(constB67))))))),
% 6.71/4.65 inference(transitivity,[status(thm)],[1023, 1021])).
% 6.71/4.65 tff(1025,plain,
% 6.71/4.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB66, constB67)) | (v101(constB67) <=> (~((~v102(constB67)) | (~v1(constB67))))))),
% 6.71/4.65 inference(quant_inst,[status(thm)],[])).
% 6.71/4.65 tff(1026,plain,
% 6.71/4.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB66, constB67)) | (v101(constB67) <=> (~((~v1(constB67)) | (~v102(constB67)))))),
% 6.71/4.65 inference(modus_ponens,[status(thm)],[1025, 1024])).
% 6.71/4.65 tff(1027,plain,
% 6.71/4.65 (v101(constB67) <=> (~((~v1(constB67)) | (~v102(constB67))))),
% 6.71/4.65 inference(unit_resolution,[status(thm)],[1026, 1016, 465])).
% 6.71/4.65 tff(1028,plain,
% 6.71/4.65 ((~v1(constB67)) <=> (~v1(constB67))),
% 6.71/4.65 inference(rewrite,[status(thm)],[])).
% 6.71/4.65 tff(1029,axiom,(~v1(constB67)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_67')).
% 6.71/4.65 tff(1030,plain,
% 6.71/4.65 (~v1(constB67)),
% 6.71/4.65 inference(modus_ponens,[status(thm)],[1029, 1028])).
% 6.71/4.65 tff(1031,plain,
% 6.71/4.65 (((~v1(constB67)) | (~v102(constB67))) | v1(constB67)),
% 6.71/4.65 inference(tautology,[status(thm)],[])).
% 6.71/4.65 tff(1032,plain,
% 6.71/4.65 ((~v1(constB67)) | (~v102(constB67))),
% 6.71/4.65 inference(unit_resolution,[status(thm)],[1031, 1030])).
% 6.71/4.65 tff(1033,plain,
% 6.71/4.65 ((~(v101(constB67) <=> (~((~v1(constB67)) | (~v102(constB67)))))) | (~v101(constB67)) | (~((~v1(constB67)) | (~v102(constB67))))),
% 6.71/4.65 inference(tautology,[status(thm)],[])).
% 6.71/4.65 tff(1034,plain,
% 6.71/4.65 ((~(v101(constB67) <=> (~((~v1(constB67)) | (~v102(constB67)))))) | (~v101(constB67))),
% 6.71/4.65 inference(unit_resolution,[status(thm)],[1033, 1032])).
% 6.71/4.65 tff(1035,plain,
% 6.71/4.65 (~v101(constB67)),
% 6.71/4.65 inference(unit_resolution,[status(thm)],[1034, 1027])).
% 6.71/4.65 tff(1036,plain,
% 6.71/4.65 (((~v101(constB67)) | (~v110(constB67))) | v101(constB67)),
% 6.71/4.65 inference(tautology,[status(thm)],[])).
% 6.71/4.65 tff(1037,plain,
% 6.71/4.65 ((~v101(constB67)) | (~v110(constB67))),
% 6.71/4.65 inference(unit_resolution,[status(thm)],[1036, 1035])).
% 6.71/4.65 tff(1038,plain,
% 6.71/4.65 ((~(v100(constB67) <=> (~((~v101(constB67)) | (~v110(constB67)))))) | (~v100(constB67)) | (~((~v101(constB67)) | (~v110(constB67))))),
% 6.71/4.65 inference(tautology,[status(thm)],[])).
% 6.71/4.65 tff(1039,plain,
% 6.71/4.65 (~v100(constB67)),
% 6.71/4.65 inference(unit_resolution,[status(thm)],[1038, 1037, 1020])).
% 6.71/4.65 tff(1040,plain,
% 6.71/4.65 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB67) | (~nextState(constB66, constB67)) | (~(((~v90(constB67, bitIndex1)) <=> v90(constB66, bitIndex1)) | ((~v90(constB67, bitIndex2)) <=> v90(constB66, bitIndex2)) | ((~v90(constB67, bitIndex0)) <=> v90(constB66, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB67) | (~nextState(constB66, constB67)) | (~(((~v90(constB67, bitIndex1)) <=> v90(constB66, bitIndex1)) | ((~v90(constB67, bitIndex2)) <=> v90(constB66, bitIndex2)) | ((~v90(constB67, bitIndex0)) <=> v90(constB66, bitIndex0)))))),
% 6.71/4.65 inference(rewrite,[status(thm)],[])).
% 6.71/4.65 tff(1041,plain,
% 6.71/4.65 ((v100(constB67) | (~nextState(constB66, constB67)) | (~(((~v90(constB67, bitIndex2)) <=> v90(constB66, bitIndex2)) | ((~v90(constB67, bitIndex1)) <=> v90(constB66, bitIndex1)) | ((~v90(constB67, bitIndex0)) <=> v90(constB66, bitIndex0))))) <=> (v100(constB67) | (~nextState(constB66, constB67)) | (~(((~v90(constB67, bitIndex1)) <=> v90(constB66, bitIndex1)) | ((~v90(constB67, bitIndex2)) <=> v90(constB66, bitIndex2)) | ((~v90(constB67, bitIndex0)) <=> v90(constB66, bitIndex0)))))),
% 6.71/4.65 inference(rewrite,[status(thm)],[])).
% 6.71/4.65 tff(1042,plain,
% 6.71/4.65 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB67) | (~nextState(constB66, constB67)) | (~(((~v90(constB67, bitIndex2)) <=> v90(constB66, bitIndex2)) | ((~v90(constB67, bitIndex1)) <=> v90(constB66, bitIndex1)) | ((~v90(constB67, bitIndex0)) <=> v90(constB66, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB67) | (~nextState(constB66, constB67)) | (~(((~v90(constB67, bitIndex1)) <=> v90(constB66, bitIndex1)) | ((~v90(constB67, bitIndex2)) <=> v90(constB66, bitIndex2)) | ((~v90(constB67, bitIndex0)) <=> v90(constB66, bitIndex0))))))),
% 6.71/4.65 inference(monotonicity,[status(thm)],[1041])).
% 6.71/4.65 tff(1043,plain,
% 6.71/4.65 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB67) | (~nextState(constB66, constB67)) | (~(((~v90(constB67, bitIndex2)) <=> v90(constB66, bitIndex2)) | ((~v90(constB67, bitIndex1)) <=> v90(constB66, bitIndex1)) | ((~v90(constB67, bitIndex0)) <=> v90(constB66, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB67) | (~nextState(constB66, constB67)) | (~(((~v90(constB67, bitIndex1)) <=> v90(constB66, bitIndex1)) | ((~v90(constB67, bitIndex2)) <=> v90(constB66, bitIndex2)) | ((~v90(constB67, bitIndex0)) <=> v90(constB66, bitIndex0)))))),
% 6.71/4.65 inference(transitivity,[status(thm)],[1042, 1040])).
% 6.71/4.65 tff(1044,plain,
% 6.71/4.65 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB67) | (~nextState(constB66, constB67)) | (~(((~v90(constB67, bitIndex2)) <=> v90(constB66, bitIndex2)) | ((~v90(constB67, bitIndex1)) <=> v90(constB66, bitIndex1)) | ((~v90(constB67, bitIndex0)) <=> v90(constB66, bitIndex0)))))),
% 6.71/4.65 inference(quant_inst,[status(thm)],[])).
% 6.71/4.65 tff(1045,plain,
% 6.71/4.65 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB67) | (~nextState(constB66, constB67)) | (~(((~v90(constB67, bitIndex1)) <=> v90(constB66, bitIndex1)) | ((~v90(constB67, bitIndex2)) <=> v90(constB66, bitIndex2)) | ((~v90(constB67, bitIndex0)) <=> v90(constB66, bitIndex0))))),
% 6.71/4.65 inference(modus_ponens,[status(thm)],[1044, 1043])).
% 6.71/4.65 tff(1046,plain,
% 6.71/4.65 (v100(constB67) | (~(((~v90(constB67, bitIndex1)) <=> v90(constB66, bitIndex1)) | ((~v90(constB67, bitIndex2)) <=> v90(constB66, bitIndex2)) | ((~v90(constB67, bitIndex0)) <=> v90(constB66, bitIndex0))))),
% 6.71/4.65 inference(unit_resolution,[status(thm)],[1045, 1016, 494])).
% 6.71/4.65 tff(1047,plain,
% 6.71/4.65 (~(((~v90(constB67, bitIndex1)) <=> v90(constB66, bitIndex1)) | ((~v90(constB67, bitIndex2)) <=> v90(constB66, bitIndex2)) | ((~v90(constB67, bitIndex0)) <=> v90(constB66, bitIndex0)))),
% 6.71/4.65 inference(unit_resolution,[status(thm)],[1046, 1039])).
% 6.71/4.65 tff(1048,plain,
% 6.71/4.65 ((((~v90(constB67, bitIndex1)) <=> v90(constB66, bitIndex1)) | ((~v90(constB67, bitIndex2)) <=> v90(constB66, bitIndex2)) | ((~v90(constB67, bitIndex0)) <=> v90(constB66, bitIndex0))) | (~((~v90(constB67, bitIndex2)) <=> v90(constB66, bitIndex2)))),
% 6.71/4.65 inference(tautology,[status(thm)],[])).
% 6.71/4.65 tff(1049,plain,
% 6.71/4.65 (~((~v90(constB67, bitIndex2)) <=> v90(constB66, bitIndex2))),
% 6.71/4.65 inference(unit_resolution,[status(thm)],[1048, 1047])).
% 6.71/4.65 tff(1050,plain,
% 6.71/4.65 (nextState(constB65, constB66) <=> nextState(constB65, constB66)),
% 6.71/4.65 inference(rewrite,[status(thm)],[])).
% 6.71/4.65 tff(1051,axiom,(nextState(constB65, constB66)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_65')).
% 6.71/4.65 tff(1052,plain,
% 6.71/4.65 (nextState(constB65, constB66)),
% 6.71/4.65 inference(modus_ponens,[status(thm)],[1051, 1050])).
% 6.71/4.65 tff(1053,plain,
% 6.71/4.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB65, constB66)) | (~(((~v129(constB66, bitIndex2)) <=> v127(constB65, bitIndex2)) | ((~v129(constB66, bitIndex1)) <=> v127(constB65, bitIndex1)) | ((~v129(constB66, bitIndex0)) <=> v127(constB65, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB65, constB66)) | (~(((~v129(constB66, bitIndex2)) <=> v127(constB65, bitIndex2)) | ((~v129(constB66, bitIndex1)) <=> v127(constB65, bitIndex1)) | ((~v129(constB66, bitIndex0)) <=> v127(constB65, bitIndex0)))))),
% 6.71/4.65 inference(rewrite,[status(thm)],[])).
% 6.71/4.65 tff(1054,plain,
% 6.71/4.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB65, constB66)) | (~(((~v129(constB66, bitIndex2)) <=> v127(constB65, bitIndex2)) | ((~v129(constB66, bitIndex1)) <=> v127(constB65, bitIndex1)) | ((~v129(constB66, bitIndex0)) <=> v127(constB65, bitIndex0)))))),
% 6.71/4.65 inference(quant_inst,[status(thm)],[])).
% 6.71/4.65 tff(1055,plain,
% 6.71/4.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB65, constB66)) | (~(((~v129(constB66, bitIndex2)) <=> v127(constB65, bitIndex2)) | ((~v129(constB66, bitIndex1)) <=> v127(constB65, bitIndex1)) | ((~v129(constB66, bitIndex0)) <=> v127(constB65, bitIndex0))))),
% 6.71/4.65 inference(modus_ponens,[status(thm)],[1054, 1053])).
% 6.71/4.65 tff(1056,plain,
% 6.71/4.65 (~(((~v129(constB66, bitIndex2)) <=> v127(constB65, bitIndex2)) | ((~v129(constB66, bitIndex1)) <=> v127(constB65, bitIndex1)) | ((~v129(constB66, bitIndex0)) <=> v127(constB65, bitIndex0)))),
% 6.71/4.65 inference(unit_resolution,[status(thm)],[1055, 1052, 517])).
% 6.71/4.65 tff(1057,plain,
% 6.71/4.65 ((((~v129(constB66, bitIndex2)) <=> v127(constB65, bitIndex2)) | ((~v129(constB66, bitIndex1)) <=> v127(constB65, bitIndex1)) | ((~v129(constB66, bitIndex0)) <=> v127(constB65, bitIndex0))) | (~((~v129(constB66, bitIndex2)) <=> v127(constB65, bitIndex2)))),
% 6.71/4.65 inference(tautology,[status(thm)],[])).
% 6.71/4.65 tff(1058,plain,
% 6.71/4.65 (~((~v129(constB66, bitIndex2)) <=> v127(constB65, bitIndex2))),
% 6.71/4.65 inference(unit_resolution,[status(thm)],[1057, 1056])).
% 6.71/4.65 tff(1059,plain,
% 6.71/4.65 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB65) <=> v26(constB65))),
% 6.71/4.65 inference(quant_inst,[status(thm)],[])).
% 6.71/4.65 tff(1060,plain,
% 6.71/4.65 (v111(constB65) <=> v26(constB65)),
% 6.71/4.65 inference(unit_resolution,[status(thm)],[1059, 536])).
% 6.71/4.65 tff(1061,plain,
% 6.71/4.65 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB65))),
% 6.71/4.65 inference(quant_inst,[status(thm)],[])).
% 6.71/4.65 tff(1062,plain,
% 6.71/4.65 (~v26(constB65)),
% 6.71/4.65 inference(unit_resolution,[status(thm)],[1061, 548])).
% 6.71/4.65 tff(1063,plain,
% 6.71/4.65 ((~(v111(constB65) <=> v26(constB65))) | (~v111(constB65)) | v26(constB65)),
% 6.71/4.65 inference(tautology,[status(thm)],[])).
% 6.71/4.65 tff(1064,plain,
% 6.71/4.65 ((~(v111(constB65) <=> v26(constB65))) | (~v111(constB65))),
% 6.71/4.65 inference(unit_resolution,[status(thm)],[1063, 1062])).
% 6.71/4.65 tff(1065,plain,
% 6.71/4.65 (~v111(constB65)),
% 6.71/4.65 inference(unit_resolution,[status(thm)],[1064, 1060])).
% 6.71/4.65 tff(1066,plain,
% 6.71/4.65 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB65) | (~(((~v127(constB65, bitIndex2)) <=> v130(constB65, bitIndex2)) | ((~v127(constB65, bitIndex1)) <=> v130(constB65, bitIndex1)) | ((~v127(constB65, bitIndex0)) <=> v130(constB65, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB65) | (~(((~v127(constB65, bitIndex2)) <=> v130(constB65, bitIndex2)) | ((~v127(constB65, bitIndex1)) <=> v130(constB65, bitIndex1)) | ((~v127(constB65, bitIndex0)) <=> v130(constB65, bitIndex0)))))),
% 6.71/4.65 inference(rewrite,[status(thm)],[])).
% 6.71/4.65 tff(1067,plain,
% 6.71/4.65 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB65) | (~(((~v127(constB65, bitIndex2)) <=> v130(constB65, bitIndex2)) | ((~v127(constB65, bitIndex1)) <=> v130(constB65, bitIndex1)) | ((~v127(constB65, bitIndex0)) <=> v130(constB65, bitIndex0)))))),
% 6.71/4.65 inference(quant_inst,[status(thm)],[])).
% 6.71/4.65 tff(1068,plain,
% 6.71/4.65 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB65) | (~(((~v127(constB65, bitIndex2)) <=> v130(constB65, bitIndex2)) | ((~v127(constB65, bitIndex1)) <=> v130(constB65, bitIndex1)) | ((~v127(constB65, bitIndex0)) <=> v130(constB65, bitIndex0))))),
% 6.71/4.65 inference(modus_ponens,[status(thm)],[1067, 1066])).
% 6.71/4.65 tff(1069,plain,
% 6.71/4.65 (v111(constB65) | (~(((~v127(constB65, bitIndex2)) <=> v130(constB65, bitIndex2)) | ((~v127(constB65, bitIndex1)) <=> v130(constB65, bitIndex1)) | ((~v127(constB65, bitIndex0)) <=> v130(constB65, bitIndex0))))),
% 6.71/4.65 inference(unit_resolution,[status(thm)],[1068, 566])).
% 6.71/4.65 tff(1070,plain,
% 6.71/4.65 (~(((~v127(constB65, bitIndex2)) <=> v130(constB65, bitIndex2)) | ((~v127(constB65, bitIndex1)) <=> v130(constB65, bitIndex1)) | ((~v127(constB65, bitIndex0)) <=> v130(constB65, bitIndex0)))),
% 6.71/4.65 inference(unit_resolution,[status(thm)],[1069, 1065])).
% 6.71/4.65 tff(1071,plain,
% 6.71/4.65 ((((~v127(constB65, bitIndex2)) <=> v130(constB65, bitIndex2)) | ((~v127(constB65, bitIndex1)) <=> v130(constB65, bitIndex1)) | ((~v127(constB65, bitIndex0)) <=> v130(constB65, bitIndex0))) | (~((~v127(constB65, bitIndex2)) <=> v130(constB65, bitIndex2)))),
% 6.71/4.65 inference(tautology,[status(thm)],[])).
% 6.71/4.65 tff(1072,plain,
% 6.71/4.65 (~((~v127(constB65, bitIndex2)) <=> v130(constB65, bitIndex2))),
% 6.71/4.65 inference(unit_resolution,[status(thm)],[1071, 1070])).
% 6.71/4.65 tff(1073,plain,
% 6.71/4.65 (^[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)))))),
% 6.71/4.65 inference(bind,[status(th)],[])).
% 6.71/4.65 tff(1074,plain,
% 6.71/4.65 (![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))))),
% 6.71/4.66 inference(quant_intro,[status(thm)],[1073])).
% 6.71/4.66 tff(1075,plain,
% 6.71/4.66 (^[VarCurr: $i] : rewrite((v119(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & (~v90(VarCurr, bitIndex1)) & (~v90(VarCurr, bitIndex0)))) <=> (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2)))))),
% 6.71/4.66 inference(bind,[status(th)],[])).
% 6.71/4.66 tff(1076,plain,
% 6.71/4.66 (![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))))),
% 6.71/4.66 inference(quant_intro,[status(thm)],[1075])).
% 6.71/4.66 tff(1077,plain,
% 6.71/4.66 (![VarCurr: $i] : (v119(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & (~v90(VarCurr, bitIndex1)) & (~v90(VarCurr, bitIndex0)))) <=> ![VarCurr: $i] : (v119(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & (~v90(VarCurr, bitIndex1)) & (~v90(VarCurr, bitIndex0))))),
% 6.71/4.66 inference(rewrite,[status(thm)],[])).
% 6.71/4.66 tff(1078,plain,
% 6.71/4.66 (^[VarCurr: $i] : rewrite((v119(VarCurr) <=> (((v90(VarCurr, bitIndex2) <=> $false) & (v90(VarCurr, bitIndex1) <=> $false)) & (v90(VarCurr, bitIndex0) <=> $false))) <=> (v119(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & (~v90(VarCurr, bitIndex1)) & (~v90(VarCurr, bitIndex0)))))),
% 6.71/4.66 inference(bind,[status(th)],[])).
% 6.71/4.66 tff(1079,plain,
% 6.71/4.66 (![VarCurr: $i] : (v119(VarCurr) <=> (((v90(VarCurr, bitIndex2) <=> $false) & (v90(VarCurr, bitIndex1) <=> $false)) & (v90(VarCurr, bitIndex0) <=> $false))) <=> ![VarCurr: $i] : (v119(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & (~v90(VarCurr, bitIndex1)) & (~v90(VarCurr, bitIndex0))))),
% 6.71/4.66 inference(quant_intro,[status(thm)],[1078])).
% 6.71/4.66 tff(1080,axiom,(![VarCurr: $i] : (v119(VarCurr) <=> (((v90(VarCurr, bitIndex2) <=> $false) & (v90(VarCurr, bitIndex1) <=> $false)) & (v90(VarCurr, bitIndex0) <=> $false)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_2')).
% 6.71/4.66 tff(1081,plain,
% 6.71/4.66 (![VarCurr: $i] : (v119(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & (~v90(VarCurr, bitIndex1)) & (~v90(VarCurr, bitIndex0))))),
% 6.71/4.66 inference(modus_ponens,[status(thm)],[1080, 1079])).
% 6.71/4.66 tff(1082,plain,
% 6.71/4.66 (![VarCurr: $i] : (v119(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & (~v90(VarCurr, bitIndex1)) & (~v90(VarCurr, bitIndex0))))),
% 6.71/4.66 inference(modus_ponens,[status(thm)],[1081, 1077])).
% 6.71/4.66 tff(1083,plain,(
% 6.71/4.66 ![VarCurr: $i] : (v119(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & (~v90(VarCurr, bitIndex1)) & (~v90(VarCurr, bitIndex0))))),
% 6.71/4.66 inference(skolemize,[status(sab)],[1082])).
% 6.71/4.66 tff(1084,plain,
% 6.71/4.66 (![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))),
% 6.71/4.66 inference(modus_ponens,[status(thm)],[1083, 1076])).
% 6.71/4.66 tff(1085,plain,
% 6.71/4.66 (![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))),
% 6.71/4.66 inference(modus_ponens,[status(thm)],[1084, 1074])).
% 6.71/4.66 tff(1086,plain,
% 6.71/4.66 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB65) <=> (~(v90(constB65, bitIndex0) | v90(constB65, bitIndex1) | v90(constB65, bitIndex2))))),
% 6.71/4.66 inference(quant_inst,[status(thm)],[])).
% 6.71/4.66 tff(1087,plain,
% 6.71/4.66 (v119(constB65) <=> (~(v90(constB65, bitIndex0) | v90(constB65, bitIndex1) | v90(constB65, bitIndex2)))),
% 6.71/4.66 inference(unit_resolution,[status(thm)],[1086, 1085])).
% 6.71/4.66 tff(1088,plain,
% 6.71/4.66 (nextState(constB64, constB65) <=> nextState(constB64, constB65)),
% 6.71/4.66 inference(rewrite,[status(thm)],[])).
% 6.71/4.66 tff(1089,axiom,(nextState(constB64, constB65)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_64')).
% 6.71/4.66 tff(1090,plain,
% 6.71/4.66 (nextState(constB64, constB65)),
% 6.71/4.66 inference(modus_ponens,[status(thm)],[1089, 1088])).
% 6.71/4.66 tff(1091,plain,
% 6.71/4.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB64, constB65)) | (v100(constB65) <=> (~((~v101(constB65)) | (~v110(constB65))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB64, constB65)) | (v100(constB65) <=> (~((~v101(constB65)) | (~v110(constB65))))))),
% 6.71/4.66 inference(rewrite,[status(thm)],[])).
% 6.71/4.66 tff(1092,plain,
% 6.71/4.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB64, constB65)) | (v100(constB65) <=> (~((~v101(constB65)) | (~v110(constB65))))))),
% 6.71/4.66 inference(quant_inst,[status(thm)],[])).
% 6.71/4.66 tff(1093,plain,
% 6.71/4.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB64, constB65)) | (v100(constB65) <=> (~((~v101(constB65)) | (~v110(constB65)))))),
% 6.71/4.66 inference(modus_ponens,[status(thm)],[1092, 1091])).
% 6.71/4.66 tff(1094,plain,
% 6.71/4.66 (v100(constB65) <=> (~((~v101(constB65)) | (~v110(constB65))))),
% 6.71/4.66 inference(unit_resolution,[status(thm)],[1093, 1090, 445])).
% 6.71/4.66 tff(1095,plain,
% 6.71/4.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB64, constB65)) | (v101(constB65) <=> (~((~v1(constB65)) | (~v102(constB65))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB64, constB65)) | (v101(constB65) <=> (~((~v1(constB65)) | (~v102(constB65))))))),
% 6.71/4.66 inference(rewrite,[status(thm)],[])).
% 6.71/4.66 tff(1096,plain,
% 6.71/4.66 (((~nextState(constB64, constB65)) | (v101(constB65) <=> (~((~v102(constB65)) | (~v1(constB65)))))) <=> ((~nextState(constB64, constB65)) | (v101(constB65) <=> (~((~v1(constB65)) | (~v102(constB65))))))),
% 6.71/4.66 inference(rewrite,[status(thm)],[])).
% 6.71/4.66 tff(1097,plain,
% 6.71/4.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB64, constB65)) | (v101(constB65) <=> (~((~v102(constB65)) | (~v1(constB65))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB64, constB65)) | (v101(constB65) <=> (~((~v1(constB65)) | (~v102(constB65)))))))),
% 6.71/4.66 inference(monotonicity,[status(thm)],[1096])).
% 6.71/4.66 tff(1098,plain,
% 6.71/4.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB64, constB65)) | (v101(constB65) <=> (~((~v102(constB65)) | (~v1(constB65))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB64, constB65)) | (v101(constB65) <=> (~((~v1(constB65)) | (~v102(constB65))))))),
% 6.71/4.66 inference(transitivity,[status(thm)],[1097, 1095])).
% 6.71/4.66 tff(1099,plain,
% 6.71/4.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB64, constB65)) | (v101(constB65) <=> (~((~v102(constB65)) | (~v1(constB65))))))),
% 6.71/4.66 inference(quant_inst,[status(thm)],[])).
% 6.71/4.66 tff(1100,plain,
% 6.71/4.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB64, constB65)) | (v101(constB65) <=> (~((~v1(constB65)) | (~v102(constB65)))))),
% 6.71/4.66 inference(modus_ponens,[status(thm)],[1099, 1098])).
% 6.71/4.66 tff(1101,plain,
% 6.71/4.66 (v101(constB65) <=> (~((~v1(constB65)) | (~v102(constB65))))),
% 6.71/4.66 inference(unit_resolution,[status(thm)],[1100, 1090, 465])).
% 6.71/4.66 tff(1102,plain,
% 6.71/4.66 ((~v1(constB65)) <=> (~v1(constB65))),
% 6.71/4.66 inference(rewrite,[status(thm)],[])).
% 6.71/4.66 tff(1103,axiom,(~v1(constB65)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_65')).
% 6.71/4.66 tff(1104,plain,
% 6.71/4.66 (~v1(constB65)),
% 6.71/4.66 inference(modus_ponens,[status(thm)],[1103, 1102])).
% 6.71/4.66 tff(1105,plain,
% 6.71/4.66 (((~v1(constB65)) | (~v102(constB65))) | v1(constB65)),
% 6.71/4.66 inference(tautology,[status(thm)],[])).
% 6.71/4.66 tff(1106,plain,
% 6.71/4.66 ((~v1(constB65)) | (~v102(constB65))),
% 6.71/4.66 inference(unit_resolution,[status(thm)],[1105, 1104])).
% 6.71/4.66 tff(1107,plain,
% 6.71/4.66 ((~(v101(constB65) <=> (~((~v1(constB65)) | (~v102(constB65)))))) | (~v101(constB65)) | (~((~v1(constB65)) | (~v102(constB65))))),
% 6.71/4.66 inference(tautology,[status(thm)],[])).
% 6.71/4.66 tff(1108,plain,
% 6.71/4.66 ((~(v101(constB65) <=> (~((~v1(constB65)) | (~v102(constB65)))))) | (~v101(constB65))),
% 6.71/4.66 inference(unit_resolution,[status(thm)],[1107, 1106])).
% 6.71/4.66 tff(1109,plain,
% 6.71/4.66 (~v101(constB65)),
% 6.71/4.66 inference(unit_resolution,[status(thm)],[1108, 1101])).
% 6.71/4.66 tff(1110,plain,
% 6.71/4.66 (((~v101(constB65)) | (~v110(constB65))) | v101(constB65)),
% 6.71/4.66 inference(tautology,[status(thm)],[])).
% 6.71/4.66 tff(1111,plain,
% 6.71/4.66 ((~v101(constB65)) | (~v110(constB65))),
% 6.71/4.66 inference(unit_resolution,[status(thm)],[1110, 1109])).
% 6.71/4.66 tff(1112,plain,
% 6.71/4.66 ((~(v100(constB65) <=> (~((~v101(constB65)) | (~v110(constB65)))))) | (~v100(constB65)) | (~((~v101(constB65)) | (~v110(constB65))))),
% 6.71/4.66 inference(tautology,[status(thm)],[])).
% 6.71/4.66 tff(1113,plain,
% 6.71/4.66 (~v100(constB65)),
% 6.71/4.66 inference(unit_resolution,[status(thm)],[1112, 1111, 1094])).
% 6.71/4.66 tff(1114,plain,
% 6.71/4.66 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB65) | (~nextState(constB64, constB65)) | (~(((~v90(constB65, bitIndex1)) <=> v90(constB64, bitIndex1)) | ((~v90(constB65, bitIndex2)) <=> v90(constB64, bitIndex2)) | ((~v90(constB65, bitIndex0)) <=> v90(constB64, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB65) | (~nextState(constB64, constB65)) | (~(((~v90(constB65, bitIndex1)) <=> v90(constB64, bitIndex1)) | ((~v90(constB65, bitIndex2)) <=> v90(constB64, bitIndex2)) | ((~v90(constB65, bitIndex0)) <=> v90(constB64, bitIndex0)))))),
% 6.71/4.66 inference(rewrite,[status(thm)],[])).
% 6.71/4.66 tff(1115,plain,
% 6.71/4.66 ((v100(constB65) | (~nextState(constB64, constB65)) | (~(((~v90(constB65, bitIndex2)) <=> v90(constB64, bitIndex2)) | ((~v90(constB65, bitIndex1)) <=> v90(constB64, bitIndex1)) | ((~v90(constB65, bitIndex0)) <=> v90(constB64, bitIndex0))))) <=> (v100(constB65) | (~nextState(constB64, constB65)) | (~(((~v90(constB65, bitIndex1)) <=> v90(constB64, bitIndex1)) | ((~v90(constB65, bitIndex2)) <=> v90(constB64, bitIndex2)) | ((~v90(constB65, bitIndex0)) <=> v90(constB64, bitIndex0)))))),
% 6.71/4.66 inference(rewrite,[status(thm)],[])).
% 6.71/4.66 tff(1116,plain,
% 6.71/4.66 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB65) | (~nextState(constB64, constB65)) | (~(((~v90(constB65, bitIndex2)) <=> v90(constB64, bitIndex2)) | ((~v90(constB65, bitIndex1)) <=> v90(constB64, bitIndex1)) | ((~v90(constB65, bitIndex0)) <=> v90(constB64, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB65) | (~nextState(constB64, constB65)) | (~(((~v90(constB65, bitIndex1)) <=> v90(constB64, bitIndex1)) | ((~v90(constB65, bitIndex2)) <=> v90(constB64, bitIndex2)) | ((~v90(constB65, bitIndex0)) <=> v90(constB64, bitIndex0))))))),
% 6.71/4.66 inference(monotonicity,[status(thm)],[1115])).
% 6.71/4.66 tff(1117,plain,
% 6.71/4.66 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB65) | (~nextState(constB64, constB65)) | (~(((~v90(constB65, bitIndex2)) <=> v90(constB64, bitIndex2)) | ((~v90(constB65, bitIndex1)) <=> v90(constB64, bitIndex1)) | ((~v90(constB65, bitIndex0)) <=> v90(constB64, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB65) | (~nextState(constB64, constB65)) | (~(((~v90(constB65, bitIndex1)) <=> v90(constB64, bitIndex1)) | ((~v90(constB65, bitIndex2)) <=> v90(constB64, bitIndex2)) | ((~v90(constB65, bitIndex0)) <=> v90(constB64, bitIndex0)))))),
% 6.71/4.66 inference(transitivity,[status(thm)],[1116, 1114])).
% 6.71/4.66 tff(1118,plain,
% 6.71/4.66 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB65) | (~nextState(constB64, constB65)) | (~(((~v90(constB65, bitIndex2)) <=> v90(constB64, bitIndex2)) | ((~v90(constB65, bitIndex1)) <=> v90(constB64, bitIndex1)) | ((~v90(constB65, bitIndex0)) <=> v90(constB64, bitIndex0)))))),
% 6.71/4.66 inference(quant_inst,[status(thm)],[])).
% 6.71/4.66 tff(1119,plain,
% 6.71/4.66 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB65) | (~nextState(constB64, constB65)) | (~(((~v90(constB65, bitIndex1)) <=> v90(constB64, bitIndex1)) | ((~v90(constB65, bitIndex2)) <=> v90(constB64, bitIndex2)) | ((~v90(constB65, bitIndex0)) <=> v90(constB64, bitIndex0))))),
% 6.71/4.66 inference(modus_ponens,[status(thm)],[1118, 1117])).
% 6.71/4.66 tff(1120,plain,
% 6.71/4.66 (v100(constB65) | (~(((~v90(constB65, bitIndex1)) <=> v90(constB64, bitIndex1)) | ((~v90(constB65, bitIndex2)) <=> v90(constB64, bitIndex2)) | ((~v90(constB65, bitIndex0)) <=> v90(constB64, bitIndex0))))),
% 6.71/4.66 inference(unit_resolution,[status(thm)],[1119, 1090, 494])).
% 6.71/4.66 tff(1121,plain,
% 6.71/4.66 (~(((~v90(constB65, bitIndex1)) <=> v90(constB64, bitIndex1)) | ((~v90(constB65, bitIndex2)) <=> v90(constB64, bitIndex2)) | ((~v90(constB65, bitIndex0)) <=> v90(constB64, bitIndex0)))),
% 6.71/4.66 inference(unit_resolution,[status(thm)],[1120, 1113])).
% 6.71/4.66 tff(1122,plain,
% 6.71/4.66 ((((~v90(constB65, bitIndex1)) <=> v90(constB64, bitIndex1)) | ((~v90(constB65, bitIndex2)) <=> v90(constB64, bitIndex2)) | ((~v90(constB65, bitIndex0)) <=> v90(constB64, bitIndex0))) | (~((~v90(constB65, bitIndex2)) <=> v90(constB64, bitIndex2)))),
% 6.71/4.66 inference(tautology,[status(thm)],[])).
% 6.71/4.66 tff(1123,plain,
% 6.71/4.66 (~((~v90(constB65, bitIndex2)) <=> v90(constB64, bitIndex2))),
% 6.71/4.66 inference(unit_resolution,[status(thm)],[1122, 1121])).
% 6.71/4.66 tff(1124,plain,
% 6.71/4.66 (nextState(constB63, constB64) <=> nextState(constB63, constB64)),
% 6.71/4.66 inference(rewrite,[status(thm)],[])).
% 6.71/4.66 tff(1125,axiom,(nextState(constB63, constB64)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_63')).
% 6.71/4.66 tff(1126,plain,
% 6.71/4.66 (nextState(constB63, constB64)),
% 6.71/4.66 inference(modus_ponens,[status(thm)],[1125, 1124])).
% 6.71/4.66 tff(1127,plain,
% 6.71/4.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB63, constB64)) | (~(((~v129(constB64, bitIndex2)) <=> v127(constB63, bitIndex2)) | ((~v129(constB64, bitIndex1)) <=> v127(constB63, bitIndex1)) | ((~v129(constB64, bitIndex0)) <=> v127(constB63, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB63, constB64)) | (~(((~v129(constB64, bitIndex2)) <=> v127(constB63, bitIndex2)) | ((~v129(constB64, bitIndex1)) <=> v127(constB63, bitIndex1)) | ((~v129(constB64, bitIndex0)) <=> v127(constB63, bitIndex0)))))),
% 6.71/4.66 inference(rewrite,[status(thm)],[])).
% 6.71/4.66 tff(1128,plain,
% 6.71/4.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB63, constB64)) | (~(((~v129(constB64, bitIndex2)) <=> v127(constB63, bitIndex2)) | ((~v129(constB64, bitIndex1)) <=> v127(constB63, bitIndex1)) | ((~v129(constB64, bitIndex0)) <=> v127(constB63, bitIndex0)))))),
% 6.71/4.66 inference(quant_inst,[status(thm)],[])).
% 6.71/4.66 tff(1129,plain,
% 6.71/4.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB63, constB64)) | (~(((~v129(constB64, bitIndex2)) <=> v127(constB63, bitIndex2)) | ((~v129(constB64, bitIndex1)) <=> v127(constB63, bitIndex1)) | ((~v129(constB64, bitIndex0)) <=> v127(constB63, bitIndex0))))),
% 6.71/4.66 inference(modus_ponens,[status(thm)],[1128, 1127])).
% 6.71/4.66 tff(1130,plain,
% 6.71/4.66 (~(((~v129(constB64, bitIndex2)) <=> v127(constB63, bitIndex2)) | ((~v129(constB64, bitIndex1)) <=> v127(constB63, bitIndex1)) | ((~v129(constB64, bitIndex0)) <=> v127(constB63, bitIndex0)))),
% 6.71/4.66 inference(unit_resolution,[status(thm)],[1129, 1126, 517])).
% 6.71/4.66 tff(1131,plain,
% 6.71/4.66 ((((~v129(constB64, bitIndex2)) <=> v127(constB63, bitIndex2)) | ((~v129(constB64, bitIndex1)) <=> v127(constB63, bitIndex1)) | ((~v129(constB64, bitIndex0)) <=> v127(constB63, bitIndex0))) | (~((~v129(constB64, bitIndex2)) <=> v127(constB63, bitIndex2)))),
% 6.71/4.66 inference(tautology,[status(thm)],[])).
% 6.71/4.66 tff(1132,plain,
% 6.71/4.66 (~((~v129(constB64, bitIndex2)) <=> v127(constB63, bitIndex2))),
% 6.71/4.66 inference(unit_resolution,[status(thm)],[1131, 1130])).
% 6.71/4.66 tff(1133,plain,
% 6.71/4.66 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB63) <=> v26(constB63))),
% 6.71/4.66 inference(quant_inst,[status(thm)],[])).
% 6.71/4.66 tff(1134,plain,
% 6.71/4.66 (v111(constB63) <=> v26(constB63)),
% 6.71/4.66 inference(unit_resolution,[status(thm)],[1133, 536])).
% 6.71/4.66 tff(1135,plain,
% 6.71/4.66 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB63))),
% 6.71/4.66 inference(quant_inst,[status(thm)],[])).
% 6.71/4.66 tff(1136,plain,
% 6.71/4.66 (~v26(constB63)),
% 6.71/4.66 inference(unit_resolution,[status(thm)],[1135, 548])).
% 6.71/4.66 tff(1137,plain,
% 6.71/4.66 ((~(v111(constB63) <=> v26(constB63))) | (~v111(constB63)) | v26(constB63)),
% 6.71/4.66 inference(tautology,[status(thm)],[])).
% 6.71/4.66 tff(1138,plain,
% 6.71/4.66 ((~(v111(constB63) <=> v26(constB63))) | (~v111(constB63))),
% 6.71/4.66 inference(unit_resolution,[status(thm)],[1137, 1136])).
% 6.71/4.66 tff(1139,plain,
% 6.71/4.66 (~v111(constB63)),
% 6.71/4.66 inference(unit_resolution,[status(thm)],[1138, 1134])).
% 6.71/4.66 tff(1140,plain,
% 6.71/4.66 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB63) | (~(((~v127(constB63, bitIndex2)) <=> v130(constB63, bitIndex2)) | ((~v127(constB63, bitIndex1)) <=> v130(constB63, bitIndex1)) | ((~v127(constB63, bitIndex0)) <=> v130(constB63, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB63) | (~(((~v127(constB63, bitIndex2)) <=> v130(constB63, bitIndex2)) | ((~v127(constB63, bitIndex1)) <=> v130(constB63, bitIndex1)) | ((~v127(constB63, bitIndex0)) <=> v130(constB63, bitIndex0)))))),
% 6.71/4.66 inference(rewrite,[status(thm)],[])).
% 6.71/4.66 tff(1141,plain,
% 6.71/4.66 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB63) | (~(((~v127(constB63, bitIndex2)) <=> v130(constB63, bitIndex2)) | ((~v127(constB63, bitIndex1)) <=> v130(constB63, bitIndex1)) | ((~v127(constB63, bitIndex0)) <=> v130(constB63, bitIndex0)))))),
% 6.71/4.66 inference(quant_inst,[status(thm)],[])).
% 6.71/4.66 tff(1142,plain,
% 6.71/4.66 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB63) | (~(((~v127(constB63, bitIndex2)) <=> v130(constB63, bitIndex2)) | ((~v127(constB63, bitIndex1)) <=> v130(constB63, bitIndex1)) | ((~v127(constB63, bitIndex0)) <=> v130(constB63, bitIndex0))))),
% 6.71/4.66 inference(modus_ponens,[status(thm)],[1141, 1140])).
% 6.71/4.66 tff(1143,plain,
% 6.71/4.66 (v111(constB63) | (~(((~v127(constB63, bitIndex2)) <=> v130(constB63, bitIndex2)) | ((~v127(constB63, bitIndex1)) <=> v130(constB63, bitIndex1)) | ((~v127(constB63, bitIndex0)) <=> v130(constB63, bitIndex0))))),
% 6.71/4.66 inference(unit_resolution,[status(thm)],[1142, 566])).
% 6.71/4.66 tff(1144,plain,
% 6.71/4.66 (~(((~v127(constB63, bitIndex2)) <=> v130(constB63, bitIndex2)) | ((~v127(constB63, bitIndex1)) <=> v130(constB63, bitIndex1)) | ((~v127(constB63, bitIndex0)) <=> v130(constB63, bitIndex0)))),
% 6.71/4.66 inference(unit_resolution,[status(thm)],[1143, 1139])).
% 6.71/4.66 tff(1145,plain,
% 6.71/4.66 ((((~v127(constB63, bitIndex2)) <=> v130(constB63, bitIndex2)) | ((~v127(constB63, bitIndex1)) <=> v130(constB63, bitIndex1)) | ((~v127(constB63, bitIndex0)) <=> v130(constB63, bitIndex0))) | (~((~v127(constB63, bitIndex2)) <=> v130(constB63, bitIndex2)))),
% 6.71/4.66 inference(tautology,[status(thm)],[])).
% 6.71/4.66 tff(1146,plain,
% 6.71/4.66 (~((~v127(constB63, bitIndex2)) <=> v130(constB63, bitIndex2))),
% 6.71/4.66 inference(unit_resolution,[status(thm)],[1145, 1144])).
% 6.71/4.66 tff(1147,plain,
% 6.71/4.66 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB63) <=> (~(v90(constB63, bitIndex1) | v90(constB63, bitIndex0) | (~v90(constB63, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB63) <=> (~(v90(constB63, bitIndex1) | v90(constB63, bitIndex0) | (~v90(constB63, bitIndex2))))))),
% 6.71/4.66 inference(rewrite,[status(thm)],[])).
% 6.71/4.66 tff(1148,plain,
% 6.71/4.66 ((v123(constB63) <=> (~(v90(constB63, bitIndex0) | v90(constB63, bitIndex1) | (~v90(constB63, bitIndex2))))) <=> (v123(constB63) <=> (~(v90(constB63, bitIndex1) | v90(constB63, bitIndex0) | (~v90(constB63, bitIndex2)))))),
% 6.71/4.66 inference(rewrite,[status(thm)],[])).
% 6.71/4.66 tff(1149,plain,
% 6.71/4.66 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB63) <=> (~(v90(constB63, bitIndex0) | v90(constB63, bitIndex1) | (~v90(constB63, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB63) <=> (~(v90(constB63, bitIndex1) | v90(constB63, bitIndex0) | (~v90(constB63, bitIndex2))))))),
% 6.71/4.66 inference(monotonicity,[status(thm)],[1148])).
% 6.71/4.66 tff(1150,plain,
% 6.71/4.66 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB63) <=> (~(v90(constB63, bitIndex0) | v90(constB63, bitIndex1) | (~v90(constB63, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB63) <=> (~(v90(constB63, bitIndex1) | v90(constB63, bitIndex0) | (~v90(constB63, bitIndex2))))))),
% 6.71/4.66 inference(transitivity,[status(thm)],[1149, 1147])).
% 6.71/4.66 tff(1151,plain,
% 6.71/4.66 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB63) <=> (~(v90(constB63, bitIndex0) | v90(constB63, bitIndex1) | (~v90(constB63, bitIndex2)))))),
% 6.71/4.66 inference(quant_inst,[status(thm)],[])).
% 6.71/4.66 tff(1152,plain,
% 6.71/4.66 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB63) <=> (~(v90(constB63, bitIndex1) | v90(constB63, bitIndex0) | (~v90(constB63, bitIndex2)))))),
% 6.71/4.66 inference(modus_ponens,[status(thm)],[1151, 1150])).
% 6.71/4.66 tff(1153,plain,
% 6.71/4.66 (v123(constB63) <=> (~(v90(constB63, bitIndex1) | v90(constB63, bitIndex0) | (~v90(constB63, bitIndex2))))),
% 6.71/4.66 inference(unit_resolution,[status(thm)],[1152, 800])).
% 6.71/4.66 tff(1154,plain,
% 6.71/4.66 (nextState(constB62, constB63) <=> nextState(constB62, constB63)),
% 6.71/4.66 inference(rewrite,[status(thm)],[])).
% 6.71/4.66 tff(1155,axiom,(nextState(constB62, constB63)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_62')).
% 6.71/4.66 tff(1156,plain,
% 6.71/4.66 (nextState(constB62, constB63)),
% 6.71/4.66 inference(modus_ponens,[status(thm)],[1155, 1154])).
% 6.71/4.66 tff(1157,plain,
% 6.71/4.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB62, constB63)) | (v100(constB63) <=> (~((~v101(constB63)) | (~v110(constB63))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB62, constB63)) | (v100(constB63) <=> (~((~v101(constB63)) | (~v110(constB63))))))),
% 6.71/4.66 inference(rewrite,[status(thm)],[])).
% 6.71/4.66 tff(1158,plain,
% 6.71/4.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB62, constB63)) | (v100(constB63) <=> (~((~v101(constB63)) | (~v110(constB63))))))),
% 6.71/4.66 inference(quant_inst,[status(thm)],[])).
% 6.71/4.66 tff(1159,plain,
% 6.71/4.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB62, constB63)) | (v100(constB63) <=> (~((~v101(constB63)) | (~v110(constB63)))))),
% 6.71/4.66 inference(modus_ponens,[status(thm)],[1158, 1157])).
% 6.71/4.66 tff(1160,plain,
% 6.71/4.66 (v100(constB63) <=> (~((~v101(constB63)) | (~v110(constB63))))),
% 6.71/4.66 inference(unit_resolution,[status(thm)],[1159, 1156, 445])).
% 6.71/4.66 tff(1161,plain,
% 6.71/4.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB62, constB63)) | (v101(constB63) <=> (~((~v1(constB63)) | (~v102(constB63))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB62, constB63)) | (v101(constB63) <=> (~((~v1(constB63)) | (~v102(constB63))))))),
% 6.71/4.66 inference(rewrite,[status(thm)],[])).
% 6.71/4.66 tff(1162,plain,
% 6.71/4.66 (((~nextState(constB62, constB63)) | (v101(constB63) <=> (~((~v102(constB63)) | (~v1(constB63)))))) <=> ((~nextState(constB62, constB63)) | (v101(constB63) <=> (~((~v1(constB63)) | (~v102(constB63))))))),
% 6.71/4.66 inference(rewrite,[status(thm)],[])).
% 6.71/4.66 tff(1163,plain,
% 6.71/4.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB62, constB63)) | (v101(constB63) <=> (~((~v102(constB63)) | (~v1(constB63))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB62, constB63)) | (v101(constB63) <=> (~((~v1(constB63)) | (~v102(constB63)))))))),
% 6.71/4.66 inference(monotonicity,[status(thm)],[1162])).
% 6.71/4.66 tff(1164,plain,
% 6.71/4.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB62, constB63)) | (v101(constB63) <=> (~((~v102(constB63)) | (~v1(constB63))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB62, constB63)) | (v101(constB63) <=> (~((~v1(constB63)) | (~v102(constB63))))))),
% 6.71/4.66 inference(transitivity,[status(thm)],[1163, 1161])).
% 6.71/4.66 tff(1165,plain,
% 6.71/4.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB62, constB63)) | (v101(constB63) <=> (~((~v102(constB63)) | (~v1(constB63))))))),
% 6.71/4.66 inference(quant_inst,[status(thm)],[])).
% 6.71/4.66 tff(1166,plain,
% 6.71/4.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB62, constB63)) | (v101(constB63) <=> (~((~v1(constB63)) | (~v102(constB63)))))),
% 6.71/4.66 inference(modus_ponens,[status(thm)],[1165, 1164])).
% 6.71/4.66 tff(1167,plain,
% 6.71/4.66 (v101(constB63) <=> (~((~v1(constB63)) | (~v102(constB63))))),
% 6.71/4.66 inference(unit_resolution,[status(thm)],[1166, 1156, 465])).
% 6.71/4.66 tff(1168,plain,
% 6.71/4.66 ((~v1(constB63)) <=> (~v1(constB63))),
% 6.71/4.66 inference(rewrite,[status(thm)],[])).
% 6.71/4.66 tff(1169,axiom,(~v1(constB63)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_63')).
% 6.71/4.66 tff(1170,plain,
% 6.71/4.66 (~v1(constB63)),
% 6.71/4.66 inference(modus_ponens,[status(thm)],[1169, 1168])).
% 6.71/4.66 tff(1171,plain,
% 6.71/4.66 (((~v1(constB63)) | (~v102(constB63))) | v1(constB63)),
% 6.71/4.66 inference(tautology,[status(thm)],[])).
% 6.71/4.66 tff(1172,plain,
% 6.71/4.66 ((~v1(constB63)) | (~v102(constB63))),
% 6.71/4.66 inference(unit_resolution,[status(thm)],[1171, 1170])).
% 6.71/4.66 tff(1173,plain,
% 6.71/4.66 ((~(v101(constB63) <=> (~((~v1(constB63)) | (~v102(constB63)))))) | (~v101(constB63)) | (~((~v1(constB63)) | (~v102(constB63))))),
% 6.71/4.66 inference(tautology,[status(thm)],[])).
% 6.71/4.66 tff(1174,plain,
% 6.71/4.66 ((~(v101(constB63) <=> (~((~v1(constB63)) | (~v102(constB63)))))) | (~v101(constB63))),
% 6.71/4.66 inference(unit_resolution,[status(thm)],[1173, 1172])).
% 6.71/4.66 tff(1175,plain,
% 6.71/4.66 (~v101(constB63)),
% 6.71/4.66 inference(unit_resolution,[status(thm)],[1174, 1167])).
% 6.71/4.66 tff(1176,plain,
% 6.71/4.66 (((~v101(constB63)) | (~v110(constB63))) | v101(constB63)),
% 6.71/4.66 inference(tautology,[status(thm)],[])).
% 6.71/4.66 tff(1177,plain,
% 6.71/4.66 ((~v101(constB63)) | (~v110(constB63))),
% 6.71/4.66 inference(unit_resolution,[status(thm)],[1176, 1175])).
% 6.71/4.66 tff(1178,plain,
% 6.71/4.66 ((~(v100(constB63) <=> (~((~v101(constB63)) | (~v110(constB63)))))) | (~v100(constB63)) | (~((~v101(constB63)) | (~v110(constB63))))),
% 6.71/4.66 inference(tautology,[status(thm)],[])).
% 6.71/4.66 tff(1179,plain,
% 6.71/4.66 (~v100(constB63)),
% 6.71/4.66 inference(unit_resolution,[status(thm)],[1178, 1177, 1160])).
% 6.71/4.66 tff(1180,plain,
% 6.71/4.66 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB63) | (~nextState(constB62, constB63)) | (~(((~v90(constB63, bitIndex1)) <=> v90(constB62, bitIndex1)) | ((~v90(constB63, bitIndex2)) <=> v90(constB62, bitIndex2)) | ((~v90(constB63, bitIndex0)) <=> v90(constB62, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB63) | (~nextState(constB62, constB63)) | (~(((~v90(constB63, bitIndex1)) <=> v90(constB62, bitIndex1)) | ((~v90(constB63, bitIndex2)) <=> v90(constB62, bitIndex2)) | ((~v90(constB63, bitIndex0)) <=> v90(constB62, bitIndex0)))))),
% 6.71/4.66 inference(rewrite,[status(thm)],[])).
% 6.71/4.66 tff(1181,plain,
% 6.71/4.66 ((v100(constB63) | (~nextState(constB62, constB63)) | (~(((~v90(constB63, bitIndex2)) <=> v90(constB62, bitIndex2)) | ((~v90(constB63, bitIndex1)) <=> v90(constB62, bitIndex1)) | ((~v90(constB63, bitIndex0)) <=> v90(constB62, bitIndex0))))) <=> (v100(constB63) | (~nextState(constB62, constB63)) | (~(((~v90(constB63, bitIndex1)) <=> v90(constB62, bitIndex1)) | ((~v90(constB63, bitIndex2)) <=> v90(constB62, bitIndex2)) | ((~v90(constB63, bitIndex0)) <=> v90(constB62, bitIndex0)))))),
% 6.71/4.67 inference(rewrite,[status(thm)],[])).
% 6.71/4.67 tff(1182,plain,
% 6.71/4.67 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB63) | (~nextState(constB62, constB63)) | (~(((~v90(constB63, bitIndex2)) <=> v90(constB62, bitIndex2)) | ((~v90(constB63, bitIndex1)) <=> v90(constB62, bitIndex1)) | ((~v90(constB63, bitIndex0)) <=> v90(constB62, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB63) | (~nextState(constB62, constB63)) | (~(((~v90(constB63, bitIndex1)) <=> v90(constB62, bitIndex1)) | ((~v90(constB63, bitIndex2)) <=> v90(constB62, bitIndex2)) | ((~v90(constB63, bitIndex0)) <=> v90(constB62, bitIndex0))))))),
% 6.71/4.67 inference(monotonicity,[status(thm)],[1181])).
% 6.71/4.67 tff(1183,plain,
% 6.71/4.67 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB63) | (~nextState(constB62, constB63)) | (~(((~v90(constB63, bitIndex2)) <=> v90(constB62, bitIndex2)) | ((~v90(constB63, bitIndex1)) <=> v90(constB62, bitIndex1)) | ((~v90(constB63, bitIndex0)) <=> v90(constB62, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB63) | (~nextState(constB62, constB63)) | (~(((~v90(constB63, bitIndex1)) <=> v90(constB62, bitIndex1)) | ((~v90(constB63, bitIndex2)) <=> v90(constB62, bitIndex2)) | ((~v90(constB63, bitIndex0)) <=> v90(constB62, bitIndex0)))))),
% 6.71/4.67 inference(transitivity,[status(thm)],[1182, 1180])).
% 6.71/4.67 tff(1184,plain,
% 6.71/4.67 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB63) | (~nextState(constB62, constB63)) | (~(((~v90(constB63, bitIndex2)) <=> v90(constB62, bitIndex2)) | ((~v90(constB63, bitIndex1)) <=> v90(constB62, bitIndex1)) | ((~v90(constB63, bitIndex0)) <=> v90(constB62, bitIndex0)))))),
% 6.71/4.67 inference(quant_inst,[status(thm)],[])).
% 6.71/4.67 tff(1185,plain,
% 6.71/4.67 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB63) | (~nextState(constB62, constB63)) | (~(((~v90(constB63, bitIndex1)) <=> v90(constB62, bitIndex1)) | ((~v90(constB63, bitIndex2)) <=> v90(constB62, bitIndex2)) | ((~v90(constB63, bitIndex0)) <=> v90(constB62, bitIndex0))))),
% 6.71/4.67 inference(modus_ponens,[status(thm)],[1184, 1183])).
% 6.71/4.67 tff(1186,plain,
% 6.71/4.67 (v100(constB63) | (~(((~v90(constB63, bitIndex1)) <=> v90(constB62, bitIndex1)) | ((~v90(constB63, bitIndex2)) <=> v90(constB62, bitIndex2)) | ((~v90(constB63, bitIndex0)) <=> v90(constB62, bitIndex0))))),
% 6.71/4.67 inference(unit_resolution,[status(thm)],[1185, 1156, 494])).
% 6.71/4.67 tff(1187,plain,
% 6.71/4.67 (~(((~v90(constB63, bitIndex1)) <=> v90(constB62, bitIndex1)) | ((~v90(constB63, bitIndex2)) <=> v90(constB62, bitIndex2)) | ((~v90(constB63, bitIndex0)) <=> v90(constB62, bitIndex0)))),
% 6.71/4.67 inference(unit_resolution,[status(thm)],[1186, 1179])).
% 6.71/4.67 tff(1188,plain,
% 6.71/4.67 ((((~v90(constB63, bitIndex1)) <=> v90(constB62, bitIndex1)) | ((~v90(constB63, bitIndex2)) <=> v90(constB62, bitIndex2)) | ((~v90(constB63, bitIndex0)) <=> v90(constB62, bitIndex0))) | (~((~v90(constB63, bitIndex2)) <=> v90(constB62, bitIndex2)))),
% 6.71/4.67 inference(tautology,[status(thm)],[])).
% 6.71/4.67 tff(1189,plain,
% 6.71/4.67 (~((~v90(constB63, bitIndex2)) <=> v90(constB62, bitIndex2))),
% 6.71/4.67 inference(unit_resolution,[status(thm)],[1188, 1187])).
% 6.71/4.67 tff(1190,plain,
% 6.71/4.67 (nextState(constB61, constB62) <=> nextState(constB61, constB62)),
% 6.71/4.67 inference(rewrite,[status(thm)],[])).
% 6.71/4.67 tff(1191,axiom,(nextState(constB61, constB62)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_61')).
% 6.71/4.67 tff(1192,plain,
% 6.71/4.67 (nextState(constB61, constB62)),
% 6.71/4.67 inference(modus_ponens,[status(thm)],[1191, 1190])).
% 6.71/4.67 tff(1193,plain,
% 6.71/4.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB61, constB62)) | (~(((~v129(constB62, bitIndex2)) <=> v127(constB61, bitIndex2)) | ((~v129(constB62, bitIndex1)) <=> v127(constB61, bitIndex1)) | ((~v129(constB62, bitIndex0)) <=> v127(constB61, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB61, constB62)) | (~(((~v129(constB62, bitIndex2)) <=> v127(constB61, bitIndex2)) | ((~v129(constB62, bitIndex1)) <=> v127(constB61, bitIndex1)) | ((~v129(constB62, bitIndex0)) <=> v127(constB61, bitIndex0)))))),
% 6.71/4.67 inference(rewrite,[status(thm)],[])).
% 6.71/4.67 tff(1194,plain,
% 6.71/4.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB61, constB62)) | (~(((~v129(constB62, bitIndex2)) <=> v127(constB61, bitIndex2)) | ((~v129(constB62, bitIndex1)) <=> v127(constB61, bitIndex1)) | ((~v129(constB62, bitIndex0)) <=> v127(constB61, bitIndex0)))))),
% 6.71/4.67 inference(quant_inst,[status(thm)],[])).
% 6.71/4.67 tff(1195,plain,
% 6.71/4.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB61, constB62)) | (~(((~v129(constB62, bitIndex2)) <=> v127(constB61, bitIndex2)) | ((~v129(constB62, bitIndex1)) <=> v127(constB61, bitIndex1)) | ((~v129(constB62, bitIndex0)) <=> v127(constB61, bitIndex0))))),
% 6.71/4.67 inference(modus_ponens,[status(thm)],[1194, 1193])).
% 6.71/4.67 tff(1196,plain,
% 6.71/4.67 (~(((~v129(constB62, bitIndex2)) <=> v127(constB61, bitIndex2)) | ((~v129(constB62, bitIndex1)) <=> v127(constB61, bitIndex1)) | ((~v129(constB62, bitIndex0)) <=> v127(constB61, bitIndex0)))),
% 6.71/4.67 inference(unit_resolution,[status(thm)],[1195, 1192, 517])).
% 6.71/4.67 tff(1197,plain,
% 6.71/4.67 ((((~v129(constB62, bitIndex2)) <=> v127(constB61, bitIndex2)) | ((~v129(constB62, bitIndex1)) <=> v127(constB61, bitIndex1)) | ((~v129(constB62, bitIndex0)) <=> v127(constB61, bitIndex0))) | (~((~v129(constB62, bitIndex2)) <=> v127(constB61, bitIndex2)))),
% 6.71/4.67 inference(tautology,[status(thm)],[])).
% 6.71/4.67 tff(1198,plain,
% 6.71/4.67 (~((~v129(constB62, bitIndex2)) <=> v127(constB61, bitIndex2))),
% 6.71/4.67 inference(unit_resolution,[status(thm)],[1197, 1196])).
% 6.71/4.67 tff(1199,plain,
% 6.71/4.67 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB61) <=> v26(constB61))),
% 6.71/4.67 inference(quant_inst,[status(thm)],[])).
% 6.71/4.67 tff(1200,plain,
% 6.71/4.67 (v111(constB61) <=> v26(constB61)),
% 6.71/4.67 inference(unit_resolution,[status(thm)],[1199, 536])).
% 6.71/4.67 tff(1201,plain,
% 6.71/4.67 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB61))),
% 6.71/4.67 inference(quant_inst,[status(thm)],[])).
% 6.71/4.67 tff(1202,plain,
% 6.71/4.67 (~v26(constB61)),
% 6.71/4.67 inference(unit_resolution,[status(thm)],[1201, 548])).
% 6.71/4.67 tff(1203,plain,
% 6.71/4.67 ((~(v111(constB61) <=> v26(constB61))) | (~v111(constB61)) | v26(constB61)),
% 6.71/4.67 inference(tautology,[status(thm)],[])).
% 6.71/4.67 tff(1204,plain,
% 6.71/4.67 ((~(v111(constB61) <=> v26(constB61))) | (~v111(constB61))),
% 6.71/4.67 inference(unit_resolution,[status(thm)],[1203, 1202])).
% 6.71/4.67 tff(1205,plain,
% 6.71/4.67 (~v111(constB61)),
% 6.71/4.67 inference(unit_resolution,[status(thm)],[1204, 1200])).
% 6.71/4.67 tff(1206,plain,
% 6.71/4.67 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB61) | (~(((~v127(constB61, bitIndex2)) <=> v130(constB61, bitIndex2)) | ((~v127(constB61, bitIndex1)) <=> v130(constB61, bitIndex1)) | ((~v127(constB61, bitIndex0)) <=> v130(constB61, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB61) | (~(((~v127(constB61, bitIndex2)) <=> v130(constB61, bitIndex2)) | ((~v127(constB61, bitIndex1)) <=> v130(constB61, bitIndex1)) | ((~v127(constB61, bitIndex0)) <=> v130(constB61, bitIndex0)))))),
% 6.71/4.67 inference(rewrite,[status(thm)],[])).
% 6.71/4.67 tff(1207,plain,
% 6.71/4.67 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB61) | (~(((~v127(constB61, bitIndex2)) <=> v130(constB61, bitIndex2)) | ((~v127(constB61, bitIndex1)) <=> v130(constB61, bitIndex1)) | ((~v127(constB61, bitIndex0)) <=> v130(constB61, bitIndex0)))))),
% 6.71/4.67 inference(quant_inst,[status(thm)],[])).
% 6.71/4.67 tff(1208,plain,
% 6.71/4.67 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB61) | (~(((~v127(constB61, bitIndex2)) <=> v130(constB61, bitIndex2)) | ((~v127(constB61, bitIndex1)) <=> v130(constB61, bitIndex1)) | ((~v127(constB61, bitIndex0)) <=> v130(constB61, bitIndex0))))),
% 6.71/4.67 inference(modus_ponens,[status(thm)],[1207, 1206])).
% 6.71/4.67 tff(1209,plain,
% 6.71/4.67 (v111(constB61) | (~(((~v127(constB61, bitIndex2)) <=> v130(constB61, bitIndex2)) | ((~v127(constB61, bitIndex1)) <=> v130(constB61, bitIndex1)) | ((~v127(constB61, bitIndex0)) <=> v130(constB61, bitIndex0))))),
% 6.71/4.67 inference(unit_resolution,[status(thm)],[1208, 566])).
% 6.71/4.67 tff(1210,plain,
% 6.71/4.67 (~(((~v127(constB61, bitIndex2)) <=> v130(constB61, bitIndex2)) | ((~v127(constB61, bitIndex1)) <=> v130(constB61, bitIndex1)) | ((~v127(constB61, bitIndex0)) <=> v130(constB61, bitIndex0)))),
% 6.71/4.67 inference(unit_resolution,[status(thm)],[1209, 1205])).
% 6.71/4.67 tff(1211,plain,
% 6.71/4.67 ((((~v127(constB61, bitIndex2)) <=> v130(constB61, bitIndex2)) | ((~v127(constB61, bitIndex1)) <=> v130(constB61, bitIndex1)) | ((~v127(constB61, bitIndex0)) <=> v130(constB61, bitIndex0))) | (~((~v127(constB61, bitIndex2)) <=> v130(constB61, bitIndex2)))),
% 6.71/4.67 inference(tautology,[status(thm)],[])).
% 6.71/4.67 tff(1212,plain,
% 6.71/4.67 (~((~v127(constB61, bitIndex2)) <=> v130(constB61, bitIndex2))),
% 6.71/4.67 inference(unit_resolution,[status(thm)],[1211, 1210])).
% 6.71/4.67 tff(1213,plain,
% 6.71/4.67 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB61) <=> (~(v90(constB61, bitIndex2) | (~v90(constB61, bitIndex1)) | (~v90(constB61, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB61) <=> (~(v90(constB61, bitIndex2) | (~v90(constB61, bitIndex1)) | (~v90(constB61, bitIndex0))))))),
% 6.71/4.67 inference(rewrite,[status(thm)],[])).
% 6.71/4.67 tff(1214,plain,
% 6.71/4.67 ((v122(constB61) <=> (~(v90(constB61, bitIndex2) | (~v90(constB61, bitIndex0)) | (~v90(constB61, bitIndex1))))) <=> (v122(constB61) <=> (~(v90(constB61, bitIndex2) | (~v90(constB61, bitIndex1)) | (~v90(constB61, bitIndex0)))))),
% 6.71/4.67 inference(rewrite,[status(thm)],[])).
% 6.71/4.67 tff(1215,plain,
% 6.71/4.67 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB61) <=> (~(v90(constB61, bitIndex2) | (~v90(constB61, bitIndex0)) | (~v90(constB61, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB61) <=> (~(v90(constB61, bitIndex2) | (~v90(constB61, bitIndex1)) | (~v90(constB61, bitIndex0))))))),
% 6.71/4.67 inference(monotonicity,[status(thm)],[1214])).
% 6.71/4.67 tff(1216,plain,
% 6.71/4.67 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB61) <=> (~(v90(constB61, bitIndex2) | (~v90(constB61, bitIndex0)) | (~v90(constB61, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB61) <=> (~(v90(constB61, bitIndex2) | (~v90(constB61, bitIndex1)) | (~v90(constB61, bitIndex0))))))),
% 6.71/4.67 inference(transitivity,[status(thm)],[1215, 1213])).
% 6.71/4.67 tff(1217,plain,
% 6.71/4.67 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB61) <=> (~(v90(constB61, bitIndex2) | (~v90(constB61, bitIndex0)) | (~v90(constB61, bitIndex1)))))),
% 6.71/4.67 inference(quant_inst,[status(thm)],[])).
% 6.71/4.67 tff(1218,plain,
% 6.71/4.67 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB61) <=> (~(v90(constB61, bitIndex2) | (~v90(constB61, bitIndex1)) | (~v90(constB61, bitIndex0)))))),
% 6.71/4.67 inference(modus_ponens,[status(thm)],[1217, 1216])).
% 6.71/4.67 tff(1219,plain,
% 6.71/4.67 (v122(constB61) <=> (~(v90(constB61, bitIndex2) | (~v90(constB61, bitIndex1)) | (~v90(constB61, bitIndex0))))),
% 6.71/4.67 inference(unit_resolution,[status(thm)],[1218, 879])).
% 6.71/4.67 tff(1220,plain,
% 6.71/4.67 (nextState(constB60, constB61) <=> nextState(constB60, constB61)),
% 6.71/4.67 inference(rewrite,[status(thm)],[])).
% 6.71/4.67 tff(1221,axiom,(nextState(constB60, constB61)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_60')).
% 6.71/4.67 tff(1222,plain,
% 6.71/4.67 (nextState(constB60, constB61)),
% 6.71/4.67 inference(modus_ponens,[status(thm)],[1221, 1220])).
% 6.71/4.67 tff(1223,plain,
% 6.71/4.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB60, constB61)) | (v100(constB61) <=> (~((~v101(constB61)) | (~v110(constB61))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB60, constB61)) | (v100(constB61) <=> (~((~v101(constB61)) | (~v110(constB61))))))),
% 6.71/4.67 inference(rewrite,[status(thm)],[])).
% 6.71/4.67 tff(1224,plain,
% 6.71/4.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB60, constB61)) | (v100(constB61) <=> (~((~v101(constB61)) | (~v110(constB61))))))),
% 6.71/4.67 inference(quant_inst,[status(thm)],[])).
% 6.71/4.67 tff(1225,plain,
% 6.71/4.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB60, constB61)) | (v100(constB61) <=> (~((~v101(constB61)) | (~v110(constB61)))))),
% 6.71/4.67 inference(modus_ponens,[status(thm)],[1224, 1223])).
% 6.71/4.67 tff(1226,plain,
% 6.71/4.67 (v100(constB61) <=> (~((~v101(constB61)) | (~v110(constB61))))),
% 6.71/4.67 inference(unit_resolution,[status(thm)],[1225, 1222, 445])).
% 6.71/4.67 tff(1227,plain,
% 6.71/4.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB60, constB61)) | (v101(constB61) <=> (~((~v1(constB61)) | (~v102(constB61))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB60, constB61)) | (v101(constB61) <=> (~((~v1(constB61)) | (~v102(constB61))))))),
% 6.71/4.67 inference(rewrite,[status(thm)],[])).
% 6.71/4.67 tff(1228,plain,
% 6.71/4.67 (((~nextState(constB60, constB61)) | (v101(constB61) <=> (~((~v102(constB61)) | (~v1(constB61)))))) <=> ((~nextState(constB60, constB61)) | (v101(constB61) <=> (~((~v1(constB61)) | (~v102(constB61))))))),
% 6.71/4.67 inference(rewrite,[status(thm)],[])).
% 6.71/4.67 tff(1229,plain,
% 6.71/4.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB60, constB61)) | (v101(constB61) <=> (~((~v102(constB61)) | (~v1(constB61))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB60, constB61)) | (v101(constB61) <=> (~((~v1(constB61)) | (~v102(constB61)))))))),
% 6.71/4.67 inference(monotonicity,[status(thm)],[1228])).
% 6.71/4.67 tff(1230,plain,
% 6.71/4.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB60, constB61)) | (v101(constB61) <=> (~((~v102(constB61)) | (~v1(constB61))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB60, constB61)) | (v101(constB61) <=> (~((~v1(constB61)) | (~v102(constB61))))))),
% 6.71/4.67 inference(transitivity,[status(thm)],[1229, 1227])).
% 6.71/4.67 tff(1231,plain,
% 6.71/4.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB60, constB61)) | (v101(constB61) <=> (~((~v102(constB61)) | (~v1(constB61))))))),
% 6.71/4.67 inference(quant_inst,[status(thm)],[])).
% 6.71/4.67 tff(1232,plain,
% 6.71/4.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB60, constB61)) | (v101(constB61) <=> (~((~v1(constB61)) | (~v102(constB61)))))),
% 6.71/4.67 inference(modus_ponens,[status(thm)],[1231, 1230])).
% 6.71/4.67 tff(1233,plain,
% 6.71/4.67 (v101(constB61) <=> (~((~v1(constB61)) | (~v102(constB61))))),
% 6.71/4.67 inference(unit_resolution,[status(thm)],[1232, 1222, 465])).
% 6.71/4.67 tff(1234,plain,
% 6.71/4.67 ((~v1(constB61)) <=> (~v1(constB61))),
% 6.71/4.67 inference(rewrite,[status(thm)],[])).
% 6.71/4.67 tff(1235,axiom,(~v1(constB61)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_61')).
% 6.71/4.67 tff(1236,plain,
% 6.71/4.67 (~v1(constB61)),
% 6.71/4.67 inference(modus_ponens,[status(thm)],[1235, 1234])).
% 6.71/4.67 tff(1237,plain,
% 6.71/4.67 (((~v1(constB61)) | (~v102(constB61))) | v1(constB61)),
% 6.71/4.67 inference(tautology,[status(thm)],[])).
% 6.71/4.67 tff(1238,plain,
% 6.71/4.67 ((~v1(constB61)) | (~v102(constB61))),
% 6.71/4.67 inference(unit_resolution,[status(thm)],[1237, 1236])).
% 6.71/4.67 tff(1239,plain,
% 6.71/4.67 ((~(v101(constB61) <=> (~((~v1(constB61)) | (~v102(constB61)))))) | (~v101(constB61)) | (~((~v1(constB61)) | (~v102(constB61))))),
% 6.71/4.67 inference(tautology,[status(thm)],[])).
% 6.71/4.67 tff(1240,plain,
% 6.71/4.67 ((~(v101(constB61) <=> (~((~v1(constB61)) | (~v102(constB61)))))) | (~v101(constB61))),
% 6.71/4.67 inference(unit_resolution,[status(thm)],[1239, 1238])).
% 6.71/4.67 tff(1241,plain,
% 6.71/4.67 (~v101(constB61)),
% 6.71/4.67 inference(unit_resolution,[status(thm)],[1240, 1233])).
% 6.71/4.67 tff(1242,plain,
% 6.71/4.67 (((~v101(constB61)) | (~v110(constB61))) | v101(constB61)),
% 6.71/4.67 inference(tautology,[status(thm)],[])).
% 6.71/4.67 tff(1243,plain,
% 6.71/4.67 ((~v101(constB61)) | (~v110(constB61))),
% 6.71/4.67 inference(unit_resolution,[status(thm)],[1242, 1241])).
% 6.71/4.67 tff(1244,plain,
% 6.71/4.67 ((~(v100(constB61) <=> (~((~v101(constB61)) | (~v110(constB61)))))) | (~v100(constB61)) | (~((~v101(constB61)) | (~v110(constB61))))),
% 6.71/4.67 inference(tautology,[status(thm)],[])).
% 6.71/4.67 tff(1245,plain,
% 6.71/4.67 (~v100(constB61)),
% 6.71/4.67 inference(unit_resolution,[status(thm)],[1244, 1243, 1226])).
% 6.71/4.67 tff(1246,plain,
% 6.71/4.67 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB61) | (~nextState(constB60, constB61)) | (~(((~v90(constB61, bitIndex1)) <=> v90(constB60, bitIndex1)) | ((~v90(constB61, bitIndex2)) <=> v90(constB60, bitIndex2)) | ((~v90(constB61, bitIndex0)) <=> v90(constB60, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB61) | (~nextState(constB60, constB61)) | (~(((~v90(constB61, bitIndex1)) <=> v90(constB60, bitIndex1)) | ((~v90(constB61, bitIndex2)) <=> v90(constB60, bitIndex2)) | ((~v90(constB61, bitIndex0)) <=> v90(constB60, bitIndex0)))))),
% 6.71/4.67 inference(rewrite,[status(thm)],[])).
% 6.71/4.67 tff(1247,plain,
% 6.71/4.67 ((v100(constB61) | (~nextState(constB60, constB61)) | (~(((~v90(constB61, bitIndex2)) <=> v90(constB60, bitIndex2)) | ((~v90(constB61, bitIndex1)) <=> v90(constB60, bitIndex1)) | ((~v90(constB61, bitIndex0)) <=> v90(constB60, bitIndex0))))) <=> (v100(constB61) | (~nextState(constB60, constB61)) | (~(((~v90(constB61, bitIndex1)) <=> v90(constB60, bitIndex1)) | ((~v90(constB61, bitIndex2)) <=> v90(constB60, bitIndex2)) | ((~v90(constB61, bitIndex0)) <=> v90(constB60, bitIndex0)))))),
% 6.71/4.67 inference(rewrite,[status(thm)],[])).
% 6.71/4.67 tff(1248,plain,
% 6.71/4.67 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB61) | (~nextState(constB60, constB61)) | (~(((~v90(constB61, bitIndex2)) <=> v90(constB60, bitIndex2)) | ((~v90(constB61, bitIndex1)) <=> v90(constB60, bitIndex1)) | ((~v90(constB61, bitIndex0)) <=> v90(constB60, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB61) | (~nextState(constB60, constB61)) | (~(((~v90(constB61, bitIndex1)) <=> v90(constB60, bitIndex1)) | ((~v90(constB61, bitIndex2)) <=> v90(constB60, bitIndex2)) | ((~v90(constB61, bitIndex0)) <=> v90(constB60, bitIndex0))))))),
% 6.71/4.67 inference(monotonicity,[status(thm)],[1247])).
% 6.71/4.67 tff(1249,plain,
% 6.71/4.67 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB61) | (~nextState(constB60, constB61)) | (~(((~v90(constB61, bitIndex2)) <=> v90(constB60, bitIndex2)) | ((~v90(constB61, bitIndex1)) <=> v90(constB60, bitIndex1)) | ((~v90(constB61, bitIndex0)) <=> v90(constB60, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB61) | (~nextState(constB60, constB61)) | (~(((~v90(constB61, bitIndex1)) <=> v90(constB60, bitIndex1)) | ((~v90(constB61, bitIndex2)) <=> v90(constB60, bitIndex2)) | ((~v90(constB61, bitIndex0)) <=> v90(constB60, bitIndex0)))))),
% 6.71/4.67 inference(transitivity,[status(thm)],[1248, 1246])).
% 6.71/4.67 tff(1250,plain,
% 6.71/4.67 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB61) | (~nextState(constB60, constB61)) | (~(((~v90(constB61, bitIndex2)) <=> v90(constB60, bitIndex2)) | ((~v90(constB61, bitIndex1)) <=> v90(constB60, bitIndex1)) | ((~v90(constB61, bitIndex0)) <=> v90(constB60, bitIndex0)))))),
% 6.71/4.67 inference(quant_inst,[status(thm)],[])).
% 6.71/4.68 tff(1251,plain,
% 6.71/4.68 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB61) | (~nextState(constB60, constB61)) | (~(((~v90(constB61, bitIndex1)) <=> v90(constB60, bitIndex1)) | ((~v90(constB61, bitIndex2)) <=> v90(constB60, bitIndex2)) | ((~v90(constB61, bitIndex0)) <=> v90(constB60, bitIndex0))))),
% 6.71/4.68 inference(modus_ponens,[status(thm)],[1250, 1249])).
% 6.71/4.68 tff(1252,plain,
% 6.71/4.68 (v100(constB61) | (~(((~v90(constB61, bitIndex1)) <=> v90(constB60, bitIndex1)) | ((~v90(constB61, bitIndex2)) <=> v90(constB60, bitIndex2)) | ((~v90(constB61, bitIndex0)) <=> v90(constB60, bitIndex0))))),
% 6.71/4.68 inference(unit_resolution,[status(thm)],[1251, 1222, 494])).
% 6.71/4.68 tff(1253,plain,
% 6.71/4.68 (~(((~v90(constB61, bitIndex1)) <=> v90(constB60, bitIndex1)) | ((~v90(constB61, bitIndex2)) <=> v90(constB60, bitIndex2)) | ((~v90(constB61, bitIndex0)) <=> v90(constB60, bitIndex0)))),
% 6.71/4.68 inference(unit_resolution,[status(thm)],[1252, 1245])).
% 6.71/4.68 tff(1254,plain,
% 6.71/4.68 ((((~v90(constB61, bitIndex1)) <=> v90(constB60, bitIndex1)) | ((~v90(constB61, bitIndex2)) <=> v90(constB60, bitIndex2)) | ((~v90(constB61, bitIndex0)) <=> v90(constB60, bitIndex0))) | (~((~v90(constB61, bitIndex2)) <=> v90(constB60, bitIndex2)))),
% 6.71/4.68 inference(tautology,[status(thm)],[])).
% 6.71/4.68 tff(1255,plain,
% 6.71/4.68 (~((~v90(constB61, bitIndex2)) <=> v90(constB60, bitIndex2))),
% 6.71/4.68 inference(unit_resolution,[status(thm)],[1254, 1253])).
% 6.71/4.68 tff(1256,plain,
% 6.71/4.68 (nextState(constB59, constB60) <=> nextState(constB59, constB60)),
% 6.71/4.68 inference(rewrite,[status(thm)],[])).
% 6.71/4.68 tff(1257,axiom,(nextState(constB59, constB60)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_59')).
% 6.71/4.68 tff(1258,plain,
% 6.71/4.68 (nextState(constB59, constB60)),
% 6.71/4.68 inference(modus_ponens,[status(thm)],[1257, 1256])).
% 6.71/4.68 tff(1259,plain,
% 6.71/4.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB59, constB60)) | (~(((~v129(constB60, bitIndex2)) <=> v127(constB59, bitIndex2)) | ((~v129(constB60, bitIndex1)) <=> v127(constB59, bitIndex1)) | ((~v129(constB60, bitIndex0)) <=> v127(constB59, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB59, constB60)) | (~(((~v129(constB60, bitIndex2)) <=> v127(constB59, bitIndex2)) | ((~v129(constB60, bitIndex1)) <=> v127(constB59, bitIndex1)) | ((~v129(constB60, bitIndex0)) <=> v127(constB59, bitIndex0)))))),
% 6.71/4.68 inference(rewrite,[status(thm)],[])).
% 6.71/4.68 tff(1260,plain,
% 6.71/4.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB59, constB60)) | (~(((~v129(constB60, bitIndex2)) <=> v127(constB59, bitIndex2)) | ((~v129(constB60, bitIndex1)) <=> v127(constB59, bitIndex1)) | ((~v129(constB60, bitIndex0)) <=> v127(constB59, bitIndex0)))))),
% 6.71/4.68 inference(quant_inst,[status(thm)],[])).
% 6.71/4.68 tff(1261,plain,
% 6.71/4.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB59, constB60)) | (~(((~v129(constB60, bitIndex2)) <=> v127(constB59, bitIndex2)) | ((~v129(constB60, bitIndex1)) <=> v127(constB59, bitIndex1)) | ((~v129(constB60, bitIndex0)) <=> v127(constB59, bitIndex0))))),
% 6.71/4.68 inference(modus_ponens,[status(thm)],[1260, 1259])).
% 6.71/4.68 tff(1262,plain,
% 6.71/4.68 (~(((~v129(constB60, bitIndex2)) <=> v127(constB59, bitIndex2)) | ((~v129(constB60, bitIndex1)) <=> v127(constB59, bitIndex1)) | ((~v129(constB60, bitIndex0)) <=> v127(constB59, bitIndex0)))),
% 6.71/4.68 inference(unit_resolution,[status(thm)],[1261, 1258, 517])).
% 6.71/4.68 tff(1263,plain,
% 6.71/4.68 ((((~v129(constB60, bitIndex2)) <=> v127(constB59, bitIndex2)) | ((~v129(constB60, bitIndex1)) <=> v127(constB59, bitIndex1)) | ((~v129(constB60, bitIndex0)) <=> v127(constB59, bitIndex0))) | (~((~v129(constB60, bitIndex2)) <=> v127(constB59, bitIndex2)))),
% 6.71/4.68 inference(tautology,[status(thm)],[])).
% 6.71/4.68 tff(1264,plain,
% 6.71/4.68 (~((~v129(constB60, bitIndex2)) <=> v127(constB59, bitIndex2))),
% 6.71/4.68 inference(unit_resolution,[status(thm)],[1263, 1262])).
% 6.71/4.68 tff(1265,plain,
% 6.71/4.68 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB59) <=> v26(constB59))),
% 6.71/4.68 inference(quant_inst,[status(thm)],[])).
% 6.71/4.68 tff(1266,plain,
% 6.71/4.68 (v111(constB59) <=> v26(constB59)),
% 6.71/4.68 inference(unit_resolution,[status(thm)],[1265, 536])).
% 6.71/4.68 tff(1267,plain,
% 6.71/4.68 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB59))),
% 6.71/4.68 inference(quant_inst,[status(thm)],[])).
% 6.71/4.68 tff(1268,plain,
% 6.71/4.68 (~v26(constB59)),
% 6.71/4.68 inference(unit_resolution,[status(thm)],[1267, 548])).
% 6.71/4.68 tff(1269,plain,
% 6.71/4.68 ((~(v111(constB59) <=> v26(constB59))) | (~v111(constB59)) | v26(constB59)),
% 6.71/4.68 inference(tautology,[status(thm)],[])).
% 6.71/4.68 tff(1270,plain,
% 6.71/4.68 ((~(v111(constB59) <=> v26(constB59))) | (~v111(constB59))),
% 6.71/4.68 inference(unit_resolution,[status(thm)],[1269, 1268])).
% 6.71/4.68 tff(1271,plain,
% 6.71/4.68 (~v111(constB59)),
% 6.71/4.68 inference(unit_resolution,[status(thm)],[1270, 1266])).
% 6.71/4.68 tff(1272,plain,
% 6.71/4.68 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB59) | (~(((~v127(constB59, bitIndex2)) <=> v130(constB59, bitIndex2)) | ((~v127(constB59, bitIndex1)) <=> v130(constB59, bitIndex1)) | ((~v127(constB59, bitIndex0)) <=> v130(constB59, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB59) | (~(((~v127(constB59, bitIndex2)) <=> v130(constB59, bitIndex2)) | ((~v127(constB59, bitIndex1)) <=> v130(constB59, bitIndex1)) | ((~v127(constB59, bitIndex0)) <=> v130(constB59, bitIndex0)))))),
% 6.71/4.68 inference(rewrite,[status(thm)],[])).
% 6.71/4.68 tff(1273,plain,
% 6.71/4.68 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB59) | (~(((~v127(constB59, bitIndex2)) <=> v130(constB59, bitIndex2)) | ((~v127(constB59, bitIndex1)) <=> v130(constB59, bitIndex1)) | ((~v127(constB59, bitIndex0)) <=> v130(constB59, bitIndex0)))))),
% 6.71/4.68 inference(quant_inst,[status(thm)],[])).
% 6.71/4.68 tff(1274,plain,
% 6.71/4.68 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB59) | (~(((~v127(constB59, bitIndex2)) <=> v130(constB59, bitIndex2)) | ((~v127(constB59, bitIndex1)) <=> v130(constB59, bitIndex1)) | ((~v127(constB59, bitIndex0)) <=> v130(constB59, bitIndex0))))),
% 6.71/4.68 inference(modus_ponens,[status(thm)],[1273, 1272])).
% 6.71/4.68 tff(1275,plain,
% 6.71/4.68 (v111(constB59) | (~(((~v127(constB59, bitIndex2)) <=> v130(constB59, bitIndex2)) | ((~v127(constB59, bitIndex1)) <=> v130(constB59, bitIndex1)) | ((~v127(constB59, bitIndex0)) <=> v130(constB59, bitIndex0))))),
% 6.71/4.68 inference(unit_resolution,[status(thm)],[1274, 566])).
% 6.71/4.68 tff(1276,plain,
% 6.71/4.68 (~(((~v127(constB59, bitIndex2)) <=> v130(constB59, bitIndex2)) | ((~v127(constB59, bitIndex1)) <=> v130(constB59, bitIndex1)) | ((~v127(constB59, bitIndex0)) <=> v130(constB59, bitIndex0)))),
% 6.71/4.68 inference(unit_resolution,[status(thm)],[1275, 1271])).
% 6.71/4.68 tff(1277,plain,
% 6.71/4.68 ((((~v127(constB59, bitIndex2)) <=> v130(constB59, bitIndex2)) | ((~v127(constB59, bitIndex1)) <=> v130(constB59, bitIndex1)) | ((~v127(constB59, bitIndex0)) <=> v130(constB59, bitIndex0))) | (~((~v127(constB59, bitIndex2)) <=> v130(constB59, bitIndex2)))),
% 6.71/4.68 inference(tautology,[status(thm)],[])).
% 6.71/4.68 tff(1278,plain,
% 6.71/4.68 (~((~v127(constB59, bitIndex2)) <=> v130(constB59, bitIndex2))),
% 6.71/4.68 inference(unit_resolution,[status(thm)],[1277, 1276])).
% 6.71/4.68 tff(1279,plain,
% 6.71/4.68 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB59) <=> (~(v90(constB59, bitIndex2) | v90(constB59, bitIndex0) | (~v90(constB59, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB59) <=> (~(v90(constB59, bitIndex2) | v90(constB59, bitIndex0) | (~v90(constB59, bitIndex1))))))),
% 6.71/4.68 inference(rewrite,[status(thm)],[])).
% 6.71/4.68 tff(1280,plain,
% 6.71/4.68 ((v121(constB59) <=> (~(v90(constB59, bitIndex0) | v90(constB59, bitIndex2) | (~v90(constB59, bitIndex1))))) <=> (v121(constB59) <=> (~(v90(constB59, bitIndex2) | v90(constB59, bitIndex0) | (~v90(constB59, bitIndex1)))))),
% 6.71/4.68 inference(rewrite,[status(thm)],[])).
% 6.71/4.68 tff(1281,plain,
% 6.71/4.68 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB59) <=> (~(v90(constB59, bitIndex0) | v90(constB59, bitIndex2) | (~v90(constB59, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB59) <=> (~(v90(constB59, bitIndex2) | v90(constB59, bitIndex0) | (~v90(constB59, bitIndex1))))))),
% 6.71/4.68 inference(monotonicity,[status(thm)],[1280])).
% 6.71/4.68 tff(1282,plain,
% 6.71/4.68 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB59) <=> (~(v90(constB59, bitIndex0) | v90(constB59, bitIndex2) | (~v90(constB59, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB59) <=> (~(v90(constB59, bitIndex2) | v90(constB59, bitIndex0) | (~v90(constB59, bitIndex1))))))),
% 6.71/4.68 inference(transitivity,[status(thm)],[1281, 1279])).
% 6.71/4.68 tff(1283,plain,
% 6.71/4.68 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB59) <=> (~(v90(constB59, bitIndex0) | v90(constB59, bitIndex2) | (~v90(constB59, bitIndex1)))))),
% 6.71/4.68 inference(quant_inst,[status(thm)],[])).
% 6.71/4.68 tff(1284,plain,
% 6.71/4.68 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB59) <=> (~(v90(constB59, bitIndex2) | v90(constB59, bitIndex0) | (~v90(constB59, bitIndex1)))))),
% 6.71/4.68 inference(modus_ponens,[status(thm)],[1283, 1282])).
% 6.71/4.68 tff(1285,plain,
% 6.71/4.68 (v121(constB59) <=> (~(v90(constB59, bitIndex2) | v90(constB59, bitIndex0) | (~v90(constB59, bitIndex1))))),
% 6.71/4.68 inference(unit_resolution,[status(thm)],[1284, 586])).
% 6.71/4.68 tff(1286,plain,
% 6.71/4.68 (nextState(constB58, constB59) <=> nextState(constB58, constB59)),
% 6.71/4.68 inference(rewrite,[status(thm)],[])).
% 6.71/4.68 tff(1287,axiom,(nextState(constB58, constB59)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_58')).
% 6.71/4.68 tff(1288,plain,
% 6.71/4.68 (nextState(constB58, constB59)),
% 6.71/4.68 inference(modus_ponens,[status(thm)],[1287, 1286])).
% 6.71/4.68 tff(1289,plain,
% 6.71/4.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB58, constB59)) | (v100(constB59) <=> (~((~v101(constB59)) | (~v110(constB59))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB58, constB59)) | (v100(constB59) <=> (~((~v101(constB59)) | (~v110(constB59))))))),
% 6.71/4.68 inference(rewrite,[status(thm)],[])).
% 6.71/4.68 tff(1290,plain,
% 6.71/4.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB58, constB59)) | (v100(constB59) <=> (~((~v101(constB59)) | (~v110(constB59))))))),
% 6.71/4.68 inference(quant_inst,[status(thm)],[])).
% 6.71/4.68 tff(1291,plain,
% 6.71/4.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB58, constB59)) | (v100(constB59) <=> (~((~v101(constB59)) | (~v110(constB59)))))),
% 6.71/4.68 inference(modus_ponens,[status(thm)],[1290, 1289])).
% 6.71/4.68 tff(1292,plain,
% 6.71/4.68 (v100(constB59) <=> (~((~v101(constB59)) | (~v110(constB59))))),
% 6.71/4.68 inference(unit_resolution,[status(thm)],[1291, 1288, 445])).
% 6.71/4.68 tff(1293,plain,
% 6.71/4.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB58, constB59)) | (v101(constB59) <=> (~((~v1(constB59)) | (~v102(constB59))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB58, constB59)) | (v101(constB59) <=> (~((~v1(constB59)) | (~v102(constB59))))))),
% 6.71/4.68 inference(rewrite,[status(thm)],[])).
% 6.71/4.68 tff(1294,plain,
% 6.71/4.68 (((~nextState(constB58, constB59)) | (v101(constB59) <=> (~((~v102(constB59)) | (~v1(constB59)))))) <=> ((~nextState(constB58, constB59)) | (v101(constB59) <=> (~((~v1(constB59)) | (~v102(constB59))))))),
% 6.71/4.68 inference(rewrite,[status(thm)],[])).
% 6.71/4.68 tff(1295,plain,
% 6.71/4.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB58, constB59)) | (v101(constB59) <=> (~((~v102(constB59)) | (~v1(constB59))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB58, constB59)) | (v101(constB59) <=> (~((~v1(constB59)) | (~v102(constB59)))))))),
% 6.71/4.68 inference(monotonicity,[status(thm)],[1294])).
% 6.71/4.68 tff(1296,plain,
% 6.71/4.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB58, constB59)) | (v101(constB59) <=> (~((~v102(constB59)) | (~v1(constB59))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB58, constB59)) | (v101(constB59) <=> (~((~v1(constB59)) | (~v102(constB59))))))),
% 6.71/4.68 inference(transitivity,[status(thm)],[1295, 1293])).
% 6.71/4.68 tff(1297,plain,
% 6.71/4.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB58, constB59)) | (v101(constB59) <=> (~((~v102(constB59)) | (~v1(constB59))))))),
% 6.71/4.68 inference(quant_inst,[status(thm)],[])).
% 6.71/4.68 tff(1298,plain,
% 6.71/4.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB58, constB59)) | (v101(constB59) <=> (~((~v1(constB59)) | (~v102(constB59)))))),
% 6.71/4.68 inference(modus_ponens,[status(thm)],[1297, 1296])).
% 6.71/4.68 tff(1299,plain,
% 6.71/4.68 (v101(constB59) <=> (~((~v1(constB59)) | (~v102(constB59))))),
% 6.71/4.68 inference(unit_resolution,[status(thm)],[1298, 1288, 465])).
% 6.71/4.68 tff(1300,plain,
% 6.71/4.68 ((~v1(constB59)) <=> (~v1(constB59))),
% 6.71/4.68 inference(rewrite,[status(thm)],[])).
% 6.71/4.68 tff(1301,axiom,(~v1(constB59)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_59')).
% 6.71/4.68 tff(1302,plain,
% 6.71/4.68 (~v1(constB59)),
% 6.71/4.68 inference(modus_ponens,[status(thm)],[1301, 1300])).
% 6.71/4.68 tff(1303,plain,
% 6.71/4.68 (((~v1(constB59)) | (~v102(constB59))) | v1(constB59)),
% 6.71/4.68 inference(tautology,[status(thm)],[])).
% 6.71/4.68 tff(1304,plain,
% 6.71/4.68 ((~v1(constB59)) | (~v102(constB59))),
% 6.71/4.68 inference(unit_resolution,[status(thm)],[1303, 1302])).
% 6.71/4.68 tff(1305,plain,
% 6.71/4.68 ((~(v101(constB59) <=> (~((~v1(constB59)) | (~v102(constB59)))))) | (~v101(constB59)) | (~((~v1(constB59)) | (~v102(constB59))))),
% 6.71/4.68 inference(tautology,[status(thm)],[])).
% 6.71/4.68 tff(1306,plain,
% 6.71/4.68 ((~(v101(constB59) <=> (~((~v1(constB59)) | (~v102(constB59)))))) | (~v101(constB59))),
% 6.71/4.68 inference(unit_resolution,[status(thm)],[1305, 1304])).
% 6.71/4.68 tff(1307,plain,
% 6.71/4.68 (~v101(constB59)),
% 6.71/4.68 inference(unit_resolution,[status(thm)],[1306, 1299])).
% 6.71/4.68 tff(1308,plain,
% 6.71/4.68 (((~v101(constB59)) | (~v110(constB59))) | v101(constB59)),
% 6.71/4.68 inference(tautology,[status(thm)],[])).
% 6.71/4.68 tff(1309,plain,
% 6.71/4.68 ((~v101(constB59)) | (~v110(constB59))),
% 6.71/4.68 inference(unit_resolution,[status(thm)],[1308, 1307])).
% 6.71/4.68 tff(1310,plain,
% 6.71/4.68 ((~(v100(constB59) <=> (~((~v101(constB59)) | (~v110(constB59)))))) | (~v100(constB59)) | (~((~v101(constB59)) | (~v110(constB59))))),
% 6.71/4.68 inference(tautology,[status(thm)],[])).
% 6.71/4.68 tff(1311,plain,
% 6.71/4.68 (~v100(constB59)),
% 6.71/4.68 inference(unit_resolution,[status(thm)],[1310, 1309, 1292])).
% 6.71/4.68 tff(1312,plain,
% 6.71/4.68 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB59) | (~nextState(constB58, constB59)) | (~(((~v90(constB59, bitIndex1)) <=> v90(constB58, bitIndex1)) | ((~v90(constB59, bitIndex2)) <=> v90(constB58, bitIndex2)) | ((~v90(constB59, bitIndex0)) <=> v90(constB58, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB59) | (~nextState(constB58, constB59)) | (~(((~v90(constB59, bitIndex1)) <=> v90(constB58, bitIndex1)) | ((~v90(constB59, bitIndex2)) <=> v90(constB58, bitIndex2)) | ((~v90(constB59, bitIndex0)) <=> v90(constB58, bitIndex0)))))),
% 6.71/4.68 inference(rewrite,[status(thm)],[])).
% 6.71/4.68 tff(1313,plain,
% 6.71/4.68 ((v100(constB59) | (~nextState(constB58, constB59)) | (~(((~v90(constB59, bitIndex2)) <=> v90(constB58, bitIndex2)) | ((~v90(constB59, bitIndex1)) <=> v90(constB58, bitIndex1)) | ((~v90(constB59, bitIndex0)) <=> v90(constB58, bitIndex0))))) <=> (v100(constB59) | (~nextState(constB58, constB59)) | (~(((~v90(constB59, bitIndex1)) <=> v90(constB58, bitIndex1)) | ((~v90(constB59, bitIndex2)) <=> v90(constB58, bitIndex2)) | ((~v90(constB59, bitIndex0)) <=> v90(constB58, bitIndex0)))))),
% 6.71/4.68 inference(rewrite,[status(thm)],[])).
% 6.71/4.68 tff(1314,plain,
% 6.71/4.68 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB59) | (~nextState(constB58, constB59)) | (~(((~v90(constB59, bitIndex2)) <=> v90(constB58, bitIndex2)) | ((~v90(constB59, bitIndex1)) <=> v90(constB58, bitIndex1)) | ((~v90(constB59, bitIndex0)) <=> v90(constB58, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB59) | (~nextState(constB58, constB59)) | (~(((~v90(constB59, bitIndex1)) <=> v90(constB58, bitIndex1)) | ((~v90(constB59, bitIndex2)) <=> v90(constB58, bitIndex2)) | ((~v90(constB59, bitIndex0)) <=> v90(constB58, bitIndex0))))))),
% 6.71/4.68 inference(monotonicity,[status(thm)],[1313])).
% 6.71/4.68 tff(1315,plain,
% 6.71/4.68 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB59) | (~nextState(constB58, constB59)) | (~(((~v90(constB59, bitIndex2)) <=> v90(constB58, bitIndex2)) | ((~v90(constB59, bitIndex1)) <=> v90(constB58, bitIndex1)) | ((~v90(constB59, bitIndex0)) <=> v90(constB58, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB59) | (~nextState(constB58, constB59)) | (~(((~v90(constB59, bitIndex1)) <=> v90(constB58, bitIndex1)) | ((~v90(constB59, bitIndex2)) <=> v90(constB58, bitIndex2)) | ((~v90(constB59, bitIndex0)) <=> v90(constB58, bitIndex0)))))),
% 6.71/4.68 inference(transitivity,[status(thm)],[1314, 1312])).
% 6.71/4.68 tff(1316,plain,
% 6.71/4.68 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB59) | (~nextState(constB58, constB59)) | (~(((~v90(constB59, bitIndex2)) <=> v90(constB58, bitIndex2)) | ((~v90(constB59, bitIndex1)) <=> v90(constB58, bitIndex1)) | ((~v90(constB59, bitIndex0)) <=> v90(constB58, bitIndex0)))))),
% 6.71/4.68 inference(quant_inst,[status(thm)],[])).
% 6.71/4.68 tff(1317,plain,
% 6.71/4.68 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB59) | (~nextState(constB58, constB59)) | (~(((~v90(constB59, bitIndex1)) <=> v90(constB58, bitIndex1)) | ((~v90(constB59, bitIndex2)) <=> v90(constB58, bitIndex2)) | ((~v90(constB59, bitIndex0)) <=> v90(constB58, bitIndex0))))),
% 6.71/4.68 inference(modus_ponens,[status(thm)],[1316, 1315])).
% 6.71/4.68 tff(1318,plain,
% 6.71/4.68 (v100(constB59) | (~(((~v90(constB59, bitIndex1)) <=> v90(constB58, bitIndex1)) | ((~v90(constB59, bitIndex2)) <=> v90(constB58, bitIndex2)) | ((~v90(constB59, bitIndex0)) <=> v90(constB58, bitIndex0))))),
% 6.71/4.68 inference(unit_resolution,[status(thm)],[1317, 1288, 494])).
% 6.71/4.68 tff(1319,plain,
% 6.71/4.68 (~(((~v90(constB59, bitIndex1)) <=> v90(constB58, bitIndex1)) | ((~v90(constB59, bitIndex2)) <=> v90(constB58, bitIndex2)) | ((~v90(constB59, bitIndex0)) <=> v90(constB58, bitIndex0)))),
% 6.71/4.68 inference(unit_resolution,[status(thm)],[1318, 1311])).
% 6.71/4.68 tff(1320,plain,
% 6.71/4.68 ((((~v90(constB59, bitIndex1)) <=> v90(constB58, bitIndex1)) | ((~v90(constB59, bitIndex2)) <=> v90(constB58, bitIndex2)) | ((~v90(constB59, bitIndex0)) <=> v90(constB58, bitIndex0))) | (~((~v90(constB59, bitIndex2)) <=> v90(constB58, bitIndex2)))),
% 6.71/4.68 inference(tautology,[status(thm)],[])).
% 6.71/4.68 tff(1321,plain,
% 6.71/4.68 (~((~v90(constB59, bitIndex2)) <=> v90(constB58, bitIndex2))),
% 6.71/4.68 inference(unit_resolution,[status(thm)],[1320, 1319])).
% 6.71/4.68 tff(1322,plain,
% 6.71/4.68 (nextState(constB57, constB58) <=> nextState(constB57, constB58)),
% 6.71/4.68 inference(rewrite,[status(thm)],[])).
% 6.71/4.68 tff(1323,axiom,(nextState(constB57, constB58)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_57')).
% 6.71/4.68 tff(1324,plain,
% 6.71/4.68 (nextState(constB57, constB58)),
% 6.71/4.68 inference(modus_ponens,[status(thm)],[1323, 1322])).
% 6.71/4.68 tff(1325,plain,
% 6.71/4.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB57, constB58)) | (~(((~v129(constB58, bitIndex2)) <=> v127(constB57, bitIndex2)) | ((~v129(constB58, bitIndex1)) <=> v127(constB57, bitIndex1)) | ((~v129(constB58, bitIndex0)) <=> v127(constB57, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB57, constB58)) | (~(((~v129(constB58, bitIndex2)) <=> v127(constB57, bitIndex2)) | ((~v129(constB58, bitIndex1)) <=> v127(constB57, bitIndex1)) | ((~v129(constB58, bitIndex0)) <=> v127(constB57, bitIndex0)))))),
% 6.71/4.68 inference(rewrite,[status(thm)],[])).
% 6.71/4.68 tff(1326,plain,
% 6.71/4.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB57, constB58)) | (~(((~v129(constB58, bitIndex2)) <=> v127(constB57, bitIndex2)) | ((~v129(constB58, bitIndex1)) <=> v127(constB57, bitIndex1)) | ((~v129(constB58, bitIndex0)) <=> v127(constB57, bitIndex0)))))),
% 6.71/4.68 inference(quant_inst,[status(thm)],[])).
% 6.71/4.68 tff(1327,plain,
% 6.71/4.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB57, constB58)) | (~(((~v129(constB58, bitIndex2)) <=> v127(constB57, bitIndex2)) | ((~v129(constB58, bitIndex1)) <=> v127(constB57, bitIndex1)) | ((~v129(constB58, bitIndex0)) <=> v127(constB57, bitIndex0))))),
% 6.71/4.68 inference(modus_ponens,[status(thm)],[1326, 1325])).
% 6.71/4.68 tff(1328,plain,
% 6.71/4.68 (~(((~v129(constB58, bitIndex2)) <=> v127(constB57, bitIndex2)) | ((~v129(constB58, bitIndex1)) <=> v127(constB57, bitIndex1)) | ((~v129(constB58, bitIndex0)) <=> v127(constB57, bitIndex0)))),
% 6.71/4.68 inference(unit_resolution,[status(thm)],[1327, 1324, 517])).
% 6.71/4.68 tff(1329,plain,
% 6.71/4.68 ((((~v129(constB58, bitIndex2)) <=> v127(constB57, bitIndex2)) | ((~v129(constB58, bitIndex1)) <=> v127(constB57, bitIndex1)) | ((~v129(constB58, bitIndex0)) <=> v127(constB57, bitIndex0))) | (~((~v129(constB58, bitIndex2)) <=> v127(constB57, bitIndex2)))),
% 6.71/4.68 inference(tautology,[status(thm)],[])).
% 6.71/4.68 tff(1330,plain,
% 6.71/4.68 (~((~v129(constB58, bitIndex2)) <=> v127(constB57, bitIndex2))),
% 6.71/4.68 inference(unit_resolution,[status(thm)],[1329, 1328])).
% 6.71/4.68 tff(1331,plain,
% 6.71/4.68 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB57) <=> v26(constB57))),
% 6.71/4.68 inference(quant_inst,[status(thm)],[])).
% 6.71/4.68 tff(1332,plain,
% 6.71/4.68 (v111(constB57) <=> v26(constB57)),
% 6.71/4.68 inference(unit_resolution,[status(thm)],[1331, 536])).
% 6.71/4.68 tff(1333,plain,
% 6.71/4.68 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB57))),
% 6.71/4.68 inference(quant_inst,[status(thm)],[])).
% 6.71/4.68 tff(1334,plain,
% 6.71/4.68 (~v26(constB57)),
% 6.71/4.68 inference(unit_resolution,[status(thm)],[1333, 548])).
% 6.71/4.68 tff(1335,plain,
% 6.71/4.68 ((~(v111(constB57) <=> v26(constB57))) | (~v111(constB57)) | v26(constB57)),
% 6.71/4.68 inference(tautology,[status(thm)],[])).
% 6.71/4.68 tff(1336,plain,
% 6.71/4.68 ((~(v111(constB57) <=> v26(constB57))) | (~v111(constB57))),
% 6.71/4.68 inference(unit_resolution,[status(thm)],[1335, 1334])).
% 6.71/4.68 tff(1337,plain,
% 6.71/4.68 (~v111(constB57)),
% 6.71/4.68 inference(unit_resolution,[status(thm)],[1336, 1332])).
% 6.71/4.68 tff(1338,plain,
% 6.71/4.68 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB57) | (~(((~v127(constB57, bitIndex2)) <=> v130(constB57, bitIndex2)) | ((~v127(constB57, bitIndex1)) <=> v130(constB57, bitIndex1)) | ((~v127(constB57, bitIndex0)) <=> v130(constB57, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB57) | (~(((~v127(constB57, bitIndex2)) <=> v130(constB57, bitIndex2)) | ((~v127(constB57, bitIndex1)) <=> v130(constB57, bitIndex1)) | ((~v127(constB57, bitIndex0)) <=> v130(constB57, bitIndex0)))))),
% 6.71/4.68 inference(rewrite,[status(thm)],[])).
% 6.71/4.68 tff(1339,plain,
% 6.71/4.68 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB57) | (~(((~v127(constB57, bitIndex2)) <=> v130(constB57, bitIndex2)) | ((~v127(constB57, bitIndex1)) <=> v130(constB57, bitIndex1)) | ((~v127(constB57, bitIndex0)) <=> v130(constB57, bitIndex0)))))),
% 6.71/4.68 inference(quant_inst,[status(thm)],[])).
% 6.71/4.68 tff(1340,plain,
% 6.71/4.68 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB57) | (~(((~v127(constB57, bitIndex2)) <=> v130(constB57, bitIndex2)) | ((~v127(constB57, bitIndex1)) <=> v130(constB57, bitIndex1)) | ((~v127(constB57, bitIndex0)) <=> v130(constB57, bitIndex0))))),
% 6.71/4.68 inference(modus_ponens,[status(thm)],[1339, 1338])).
% 6.71/4.68 tff(1341,plain,
% 6.71/4.68 (v111(constB57) | (~(((~v127(constB57, bitIndex2)) <=> v130(constB57, bitIndex2)) | ((~v127(constB57, bitIndex1)) <=> v130(constB57, bitIndex1)) | ((~v127(constB57, bitIndex0)) <=> v130(constB57, bitIndex0))))),
% 6.71/4.68 inference(unit_resolution,[status(thm)],[1340, 566])).
% 6.71/4.68 tff(1342,plain,
% 6.71/4.68 (~(((~v127(constB57, bitIndex2)) <=> v130(constB57, bitIndex2)) | ((~v127(constB57, bitIndex1)) <=> v130(constB57, bitIndex1)) | ((~v127(constB57, bitIndex0)) <=> v130(constB57, bitIndex0)))),
% 6.71/4.68 inference(unit_resolution,[status(thm)],[1341, 1337])).
% 6.71/4.68 tff(1343,plain,
% 6.71/4.68 ((((~v127(constB57, bitIndex2)) <=> v130(constB57, bitIndex2)) | ((~v127(constB57, bitIndex1)) <=> v130(constB57, bitIndex1)) | ((~v127(constB57, bitIndex0)) <=> v130(constB57, bitIndex0))) | (~((~v127(constB57, bitIndex2)) <=> v130(constB57, bitIndex2)))),
% 6.71/4.68 inference(tautology,[status(thm)],[])).
% 6.71/4.68 tff(1344,plain,
% 6.71/4.68 (~((~v127(constB57, bitIndex2)) <=> v130(constB57, bitIndex2))),
% 6.71/4.68 inference(unit_resolution,[status(thm)],[1343, 1342])).
% 6.71/4.68 tff(1345,plain,
% 6.71/4.68 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB57) <=> (~(v90(constB57, bitIndex1) | v90(constB57, bitIndex2) | (~v90(constB57, bitIndex0)))))),
% 6.71/4.68 inference(quant_inst,[status(thm)],[])).
% 6.71/4.69 tff(1346,plain,
% 6.71/4.69 (v120(constB57) <=> (~(v90(constB57, bitIndex1) | v90(constB57, bitIndex2) | (~v90(constB57, bitIndex0))))),
% 6.71/4.69 inference(unit_resolution,[status(thm)],[1345, 665])).
% 6.71/4.69 tff(1347,plain,
% 6.71/4.69 (nextState(constB56, constB57) <=> nextState(constB56, constB57)),
% 6.71/4.69 inference(rewrite,[status(thm)],[])).
% 6.71/4.69 tff(1348,axiom,(nextState(constB56, constB57)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_56')).
% 6.71/4.69 tff(1349,plain,
% 6.71/4.69 (nextState(constB56, constB57)),
% 6.71/4.69 inference(modus_ponens,[status(thm)],[1348, 1347])).
% 6.71/4.69 tff(1350,plain,
% 6.71/4.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB56, constB57)) | (v100(constB57) <=> (~((~v101(constB57)) | (~v110(constB57))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB56, constB57)) | (v100(constB57) <=> (~((~v101(constB57)) | (~v110(constB57))))))),
% 6.71/4.69 inference(rewrite,[status(thm)],[])).
% 6.71/4.69 tff(1351,plain,
% 6.71/4.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB56, constB57)) | (v100(constB57) <=> (~((~v101(constB57)) | (~v110(constB57))))))),
% 6.71/4.69 inference(quant_inst,[status(thm)],[])).
% 6.71/4.69 tff(1352,plain,
% 6.71/4.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB56, constB57)) | (v100(constB57) <=> (~((~v101(constB57)) | (~v110(constB57)))))),
% 6.71/4.69 inference(modus_ponens,[status(thm)],[1351, 1350])).
% 6.71/4.69 tff(1353,plain,
% 6.71/4.69 (v100(constB57) <=> (~((~v101(constB57)) | (~v110(constB57))))),
% 6.71/4.69 inference(unit_resolution,[status(thm)],[1352, 1349, 445])).
% 6.71/4.69 tff(1354,plain,
% 6.71/4.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB56, constB57)) | (v101(constB57) <=> (~((~v1(constB57)) | (~v102(constB57))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB56, constB57)) | (v101(constB57) <=> (~((~v1(constB57)) | (~v102(constB57))))))),
% 6.71/4.69 inference(rewrite,[status(thm)],[])).
% 6.71/4.69 tff(1355,plain,
% 6.71/4.69 (((~nextState(constB56, constB57)) | (v101(constB57) <=> (~((~v102(constB57)) | (~v1(constB57)))))) <=> ((~nextState(constB56, constB57)) | (v101(constB57) <=> (~((~v1(constB57)) | (~v102(constB57))))))),
% 6.71/4.69 inference(rewrite,[status(thm)],[])).
% 6.71/4.69 tff(1356,plain,
% 6.71/4.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB56, constB57)) | (v101(constB57) <=> (~((~v102(constB57)) | (~v1(constB57))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB56, constB57)) | (v101(constB57) <=> (~((~v1(constB57)) | (~v102(constB57)))))))),
% 6.71/4.69 inference(monotonicity,[status(thm)],[1355])).
% 6.71/4.69 tff(1357,plain,
% 6.71/4.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB56, constB57)) | (v101(constB57) <=> (~((~v102(constB57)) | (~v1(constB57))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB56, constB57)) | (v101(constB57) <=> (~((~v1(constB57)) | (~v102(constB57))))))),
% 6.71/4.69 inference(transitivity,[status(thm)],[1356, 1354])).
% 6.71/4.69 tff(1358,plain,
% 6.71/4.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB56, constB57)) | (v101(constB57) <=> (~((~v102(constB57)) | (~v1(constB57))))))),
% 6.71/4.69 inference(quant_inst,[status(thm)],[])).
% 6.71/4.69 tff(1359,plain,
% 6.71/4.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB56, constB57)) | (v101(constB57) <=> (~((~v1(constB57)) | (~v102(constB57)))))),
% 6.71/4.69 inference(modus_ponens,[status(thm)],[1358, 1357])).
% 6.71/4.69 tff(1360,plain,
% 6.71/4.69 (v101(constB57) <=> (~((~v1(constB57)) | (~v102(constB57))))),
% 6.71/4.69 inference(unit_resolution,[status(thm)],[1359, 1349, 465])).
% 6.71/4.69 tff(1361,plain,
% 6.71/4.69 ((~v1(constB57)) <=> (~v1(constB57))),
% 6.71/4.69 inference(rewrite,[status(thm)],[])).
% 6.71/4.69 tff(1362,axiom,(~v1(constB57)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_57')).
% 6.71/4.69 tff(1363,plain,
% 6.71/4.69 (~v1(constB57)),
% 6.71/4.69 inference(modus_ponens,[status(thm)],[1362, 1361])).
% 6.71/4.69 tff(1364,plain,
% 6.71/4.69 (((~v1(constB57)) | (~v102(constB57))) | v1(constB57)),
% 6.71/4.69 inference(tautology,[status(thm)],[])).
% 6.71/4.69 tff(1365,plain,
% 6.71/4.69 ((~v1(constB57)) | (~v102(constB57))),
% 6.71/4.69 inference(unit_resolution,[status(thm)],[1364, 1363])).
% 6.71/4.69 tff(1366,plain,
% 6.71/4.69 ((~(v101(constB57) <=> (~((~v1(constB57)) | (~v102(constB57)))))) | (~v101(constB57)) | (~((~v1(constB57)) | (~v102(constB57))))),
% 6.71/4.69 inference(tautology,[status(thm)],[])).
% 6.71/4.69 tff(1367,plain,
% 6.71/4.69 ((~(v101(constB57) <=> (~((~v1(constB57)) | (~v102(constB57)))))) | (~v101(constB57))),
% 6.71/4.69 inference(unit_resolution,[status(thm)],[1366, 1365])).
% 6.71/4.69 tff(1368,plain,
% 6.71/4.69 (~v101(constB57)),
% 6.71/4.69 inference(unit_resolution,[status(thm)],[1367, 1360])).
% 6.71/4.69 tff(1369,plain,
% 6.71/4.69 (((~v101(constB57)) | (~v110(constB57))) | v101(constB57)),
% 6.71/4.69 inference(tautology,[status(thm)],[])).
% 6.71/4.69 tff(1370,plain,
% 6.71/4.69 ((~v101(constB57)) | (~v110(constB57))),
% 6.71/4.69 inference(unit_resolution,[status(thm)],[1369, 1368])).
% 6.71/4.69 tff(1371,plain,
% 6.71/4.69 ((~(v100(constB57) <=> (~((~v101(constB57)) | (~v110(constB57)))))) | (~v100(constB57)) | (~((~v101(constB57)) | (~v110(constB57))))),
% 6.71/4.69 inference(tautology,[status(thm)],[])).
% 6.71/4.69 tff(1372,plain,
% 6.71/4.69 (~v100(constB57)),
% 6.71/4.69 inference(unit_resolution,[status(thm)],[1371, 1370, 1353])).
% 6.71/4.69 tff(1373,plain,
% 6.71/4.69 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB57) | (~nextState(constB56, constB57)) | (~(((~v90(constB57, bitIndex1)) <=> v90(constB56, bitIndex1)) | ((~v90(constB57, bitIndex2)) <=> v90(constB56, bitIndex2)) | ((~v90(constB57, bitIndex0)) <=> v90(constB56, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB57) | (~nextState(constB56, constB57)) | (~(((~v90(constB57, bitIndex1)) <=> v90(constB56, bitIndex1)) | ((~v90(constB57, bitIndex2)) <=> v90(constB56, bitIndex2)) | ((~v90(constB57, bitIndex0)) <=> v90(constB56, bitIndex0)))))),
% 6.71/4.69 inference(rewrite,[status(thm)],[])).
% 6.71/4.69 tff(1374,plain,
% 6.71/4.69 ((v100(constB57) | (~nextState(constB56, constB57)) | (~(((~v90(constB57, bitIndex2)) <=> v90(constB56, bitIndex2)) | ((~v90(constB57, bitIndex1)) <=> v90(constB56, bitIndex1)) | ((~v90(constB57, bitIndex0)) <=> v90(constB56, bitIndex0))))) <=> (v100(constB57) | (~nextState(constB56, constB57)) | (~(((~v90(constB57, bitIndex1)) <=> v90(constB56, bitIndex1)) | ((~v90(constB57, bitIndex2)) <=> v90(constB56, bitIndex2)) | ((~v90(constB57, bitIndex0)) <=> v90(constB56, bitIndex0)))))),
% 6.71/4.69 inference(rewrite,[status(thm)],[])).
% 6.71/4.69 tff(1375,plain,
% 6.71/4.69 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB57) | (~nextState(constB56, constB57)) | (~(((~v90(constB57, bitIndex2)) <=> v90(constB56, bitIndex2)) | ((~v90(constB57, bitIndex1)) <=> v90(constB56, bitIndex1)) | ((~v90(constB57, bitIndex0)) <=> v90(constB56, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB57) | (~nextState(constB56, constB57)) | (~(((~v90(constB57, bitIndex1)) <=> v90(constB56, bitIndex1)) | ((~v90(constB57, bitIndex2)) <=> v90(constB56, bitIndex2)) | ((~v90(constB57, bitIndex0)) <=> v90(constB56, bitIndex0))))))),
% 6.71/4.69 inference(monotonicity,[status(thm)],[1374])).
% 6.71/4.69 tff(1376,plain,
% 6.71/4.69 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB57) | (~nextState(constB56, constB57)) | (~(((~v90(constB57, bitIndex2)) <=> v90(constB56, bitIndex2)) | ((~v90(constB57, bitIndex1)) <=> v90(constB56, bitIndex1)) | ((~v90(constB57, bitIndex0)) <=> v90(constB56, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB57) | (~nextState(constB56, constB57)) | (~(((~v90(constB57, bitIndex1)) <=> v90(constB56, bitIndex1)) | ((~v90(constB57, bitIndex2)) <=> v90(constB56, bitIndex2)) | ((~v90(constB57, bitIndex0)) <=> v90(constB56, bitIndex0)))))),
% 6.71/4.69 inference(transitivity,[status(thm)],[1375, 1373])).
% 6.71/4.69 tff(1377,plain,
% 6.71/4.69 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB57) | (~nextState(constB56, constB57)) | (~(((~v90(constB57, bitIndex2)) <=> v90(constB56, bitIndex2)) | ((~v90(constB57, bitIndex1)) <=> v90(constB56, bitIndex1)) | ((~v90(constB57, bitIndex0)) <=> v90(constB56, bitIndex0)))))),
% 6.71/4.69 inference(quant_inst,[status(thm)],[])).
% 6.71/4.69 tff(1378,plain,
% 6.71/4.69 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB57) | (~nextState(constB56, constB57)) | (~(((~v90(constB57, bitIndex1)) <=> v90(constB56, bitIndex1)) | ((~v90(constB57, bitIndex2)) <=> v90(constB56, bitIndex2)) | ((~v90(constB57, bitIndex0)) <=> v90(constB56, bitIndex0))))),
% 6.71/4.69 inference(modus_ponens,[status(thm)],[1377, 1376])).
% 6.71/4.69 tff(1379,plain,
% 6.71/4.69 (v100(constB57) | (~(((~v90(constB57, bitIndex1)) <=> v90(constB56, bitIndex1)) | ((~v90(constB57, bitIndex2)) <=> v90(constB56, bitIndex2)) | ((~v90(constB57, bitIndex0)) <=> v90(constB56, bitIndex0))))),
% 6.71/4.69 inference(unit_resolution,[status(thm)],[1378, 1349, 494])).
% 6.71/4.69 tff(1380,plain,
% 6.71/4.69 (~(((~v90(constB57, bitIndex1)) <=> v90(constB56, bitIndex1)) | ((~v90(constB57, bitIndex2)) <=> v90(constB56, bitIndex2)) | ((~v90(constB57, bitIndex0)) <=> v90(constB56, bitIndex0)))),
% 6.71/4.69 inference(unit_resolution,[status(thm)],[1379, 1372])).
% 6.71/4.69 tff(1381,plain,
% 6.71/4.69 ((((~v90(constB57, bitIndex1)) <=> v90(constB56, bitIndex1)) | ((~v90(constB57, bitIndex2)) <=> v90(constB56, bitIndex2)) | ((~v90(constB57, bitIndex0)) <=> v90(constB56, bitIndex0))) | (~((~v90(constB57, bitIndex2)) <=> v90(constB56, bitIndex2)))),
% 6.71/4.69 inference(tautology,[status(thm)],[])).
% 6.71/4.69 tff(1382,plain,
% 6.71/4.69 (~((~v90(constB57, bitIndex2)) <=> v90(constB56, bitIndex2))),
% 6.71/4.69 inference(unit_resolution,[status(thm)],[1381, 1380])).
% 6.71/4.69 tff(1383,plain,
% 6.71/4.69 (nextState(constB55, constB56) <=> nextState(constB55, constB56)),
% 6.71/4.69 inference(rewrite,[status(thm)],[])).
% 6.71/4.69 tff(1384,axiom,(nextState(constB55, constB56)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_55')).
% 6.71/4.69 tff(1385,plain,
% 6.71/4.69 (nextState(constB55, constB56)),
% 6.71/4.69 inference(modus_ponens,[status(thm)],[1384, 1383])).
% 6.71/4.69 tff(1386,plain,
% 6.71/4.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB55, constB56)) | (~(((~v129(constB56, bitIndex2)) <=> v127(constB55, bitIndex2)) | ((~v129(constB56, bitIndex1)) <=> v127(constB55, bitIndex1)) | ((~v129(constB56, bitIndex0)) <=> v127(constB55, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB55, constB56)) | (~(((~v129(constB56, bitIndex2)) <=> v127(constB55, bitIndex2)) | ((~v129(constB56, bitIndex1)) <=> v127(constB55, bitIndex1)) | ((~v129(constB56, bitIndex0)) <=> v127(constB55, bitIndex0)))))),
% 6.71/4.69 inference(rewrite,[status(thm)],[])).
% 6.71/4.69 tff(1387,plain,
% 6.71/4.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB55, constB56)) | (~(((~v129(constB56, bitIndex2)) <=> v127(constB55, bitIndex2)) | ((~v129(constB56, bitIndex1)) <=> v127(constB55, bitIndex1)) | ((~v129(constB56, bitIndex0)) <=> v127(constB55, bitIndex0)))))),
% 6.71/4.69 inference(quant_inst,[status(thm)],[])).
% 6.71/4.69 tff(1388,plain,
% 6.71/4.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB55, constB56)) | (~(((~v129(constB56, bitIndex2)) <=> v127(constB55, bitIndex2)) | ((~v129(constB56, bitIndex1)) <=> v127(constB55, bitIndex1)) | ((~v129(constB56, bitIndex0)) <=> v127(constB55, bitIndex0))))),
% 6.71/4.69 inference(modus_ponens,[status(thm)],[1387, 1386])).
% 6.71/4.69 tff(1389,plain,
% 6.71/4.69 (~(((~v129(constB56, bitIndex2)) <=> v127(constB55, bitIndex2)) | ((~v129(constB56, bitIndex1)) <=> v127(constB55, bitIndex1)) | ((~v129(constB56, bitIndex0)) <=> v127(constB55, bitIndex0)))),
% 6.71/4.69 inference(unit_resolution,[status(thm)],[1388, 1385, 517])).
% 6.71/4.69 tff(1390,plain,
% 6.71/4.69 ((((~v129(constB56, bitIndex2)) <=> v127(constB55, bitIndex2)) | ((~v129(constB56, bitIndex1)) <=> v127(constB55, bitIndex1)) | ((~v129(constB56, bitIndex0)) <=> v127(constB55, bitIndex0))) | (~((~v129(constB56, bitIndex2)) <=> v127(constB55, bitIndex2)))),
% 6.71/4.69 inference(tautology,[status(thm)],[])).
% 6.71/4.69 tff(1391,plain,
% 6.71/4.69 (~((~v129(constB56, bitIndex2)) <=> v127(constB55, bitIndex2))),
% 6.71/4.69 inference(unit_resolution,[status(thm)],[1390, 1389])).
% 6.71/4.69 tff(1392,plain,
% 6.71/4.69 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB55) <=> v26(constB55))),
% 6.71/4.69 inference(quant_inst,[status(thm)],[])).
% 6.71/4.69 tff(1393,plain,
% 6.71/4.69 (v111(constB55) <=> v26(constB55)),
% 6.71/4.69 inference(unit_resolution,[status(thm)],[1392, 536])).
% 6.71/4.69 tff(1394,plain,
% 6.71/4.69 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB55))),
% 6.71/4.69 inference(quant_inst,[status(thm)],[])).
% 6.71/4.69 tff(1395,plain,
% 6.71/4.69 (~v26(constB55)),
% 6.71/4.69 inference(unit_resolution,[status(thm)],[1394, 548])).
% 6.71/4.69 tff(1396,plain,
% 6.71/4.69 ((~(v111(constB55) <=> v26(constB55))) | (~v111(constB55)) | v26(constB55)),
% 6.71/4.69 inference(tautology,[status(thm)],[])).
% 6.71/4.69 tff(1397,plain,
% 6.71/4.69 ((~(v111(constB55) <=> v26(constB55))) | (~v111(constB55))),
% 6.71/4.69 inference(unit_resolution,[status(thm)],[1396, 1395])).
% 6.71/4.69 tff(1398,plain,
% 6.71/4.69 (~v111(constB55)),
% 6.71/4.69 inference(unit_resolution,[status(thm)],[1397, 1393])).
% 6.71/4.69 tff(1399,plain,
% 6.71/4.69 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB55) | (~(((~v127(constB55, bitIndex2)) <=> v130(constB55, bitIndex2)) | ((~v127(constB55, bitIndex1)) <=> v130(constB55, bitIndex1)) | ((~v127(constB55, bitIndex0)) <=> v130(constB55, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB55) | (~(((~v127(constB55, bitIndex2)) <=> v130(constB55, bitIndex2)) | ((~v127(constB55, bitIndex1)) <=> v130(constB55, bitIndex1)) | ((~v127(constB55, bitIndex0)) <=> v130(constB55, bitIndex0)))))),
% 6.71/4.69 inference(rewrite,[status(thm)],[])).
% 6.71/4.69 tff(1400,plain,
% 6.71/4.69 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB55) | (~(((~v127(constB55, bitIndex2)) <=> v130(constB55, bitIndex2)) | ((~v127(constB55, bitIndex1)) <=> v130(constB55, bitIndex1)) | ((~v127(constB55, bitIndex0)) <=> v130(constB55, bitIndex0)))))),
% 6.71/4.69 inference(quant_inst,[status(thm)],[])).
% 6.71/4.69 tff(1401,plain,
% 6.71/4.69 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB55) | (~(((~v127(constB55, bitIndex2)) <=> v130(constB55, bitIndex2)) | ((~v127(constB55, bitIndex1)) <=> v130(constB55, bitIndex1)) | ((~v127(constB55, bitIndex0)) <=> v130(constB55, bitIndex0))))),
% 6.71/4.69 inference(modus_ponens,[status(thm)],[1400, 1399])).
% 6.71/4.69 tff(1402,plain,
% 6.71/4.69 (v111(constB55) | (~(((~v127(constB55, bitIndex2)) <=> v130(constB55, bitIndex2)) | ((~v127(constB55, bitIndex1)) <=> v130(constB55, bitIndex1)) | ((~v127(constB55, bitIndex0)) <=> v130(constB55, bitIndex0))))),
% 6.71/4.69 inference(unit_resolution,[status(thm)],[1401, 566])).
% 6.71/4.69 tff(1403,plain,
% 6.71/4.69 (~(((~v127(constB55, bitIndex2)) <=> v130(constB55, bitIndex2)) | ((~v127(constB55, bitIndex1)) <=> v130(constB55, bitIndex1)) | ((~v127(constB55, bitIndex0)) <=> v130(constB55, bitIndex0)))),
% 6.71/4.69 inference(unit_resolution,[status(thm)],[1402, 1398])).
% 6.71/4.69 tff(1404,plain,
% 6.71/4.69 ((((~v127(constB55, bitIndex2)) <=> v130(constB55, bitIndex2)) | ((~v127(constB55, bitIndex1)) <=> v130(constB55, bitIndex1)) | ((~v127(constB55, bitIndex0)) <=> v130(constB55, bitIndex0))) | (~((~v127(constB55, bitIndex2)) <=> v130(constB55, bitIndex2)))),
% 6.71/4.69 inference(tautology,[status(thm)],[])).
% 6.71/4.69 tff(1405,plain,
% 6.71/4.69 (~((~v127(constB55, bitIndex2)) <=> v130(constB55, bitIndex2))),
% 6.71/4.69 inference(unit_resolution,[status(thm)],[1404, 1403])).
% 6.71/4.69 tff(1406,plain,
% 6.71/4.69 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB55) <=> (~(v90(constB55, bitIndex1) | v90(constB55, bitIndex2) | (~v90(constB55, bitIndex0)))))),
% 6.71/4.69 inference(quant_inst,[status(thm)],[])).
% 6.71/4.69 tff(1407,plain,
% 6.71/4.69 (v120(constB55) <=> (~(v90(constB55, bitIndex1) | v90(constB55, bitIndex2) | (~v90(constB55, bitIndex0))))),
% 6.71/4.69 inference(unit_resolution,[status(thm)],[1406, 665])).
% 6.71/4.69 tff(1408,plain,
% 6.71/4.69 (nextState(constB54, constB55) <=> nextState(constB54, constB55)),
% 6.71/4.69 inference(rewrite,[status(thm)],[])).
% 6.71/4.69 tff(1409,axiom,(nextState(constB54, constB55)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_54')).
% 6.71/4.69 tff(1410,plain,
% 6.71/4.69 (nextState(constB54, constB55)),
% 6.71/4.69 inference(modus_ponens,[status(thm)],[1409, 1408])).
% 6.71/4.69 tff(1411,plain,
% 6.71/4.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB54, constB55)) | (v100(constB55) <=> (~((~v101(constB55)) | (~v110(constB55))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB54, constB55)) | (v100(constB55) <=> (~((~v101(constB55)) | (~v110(constB55))))))),
% 6.71/4.69 inference(rewrite,[status(thm)],[])).
% 6.71/4.69 tff(1412,plain,
% 6.71/4.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB54, constB55)) | (v100(constB55) <=> (~((~v101(constB55)) | (~v110(constB55))))))),
% 6.71/4.69 inference(quant_inst,[status(thm)],[])).
% 6.71/4.69 tff(1413,plain,
% 6.71/4.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB54, constB55)) | (v100(constB55) <=> (~((~v101(constB55)) | (~v110(constB55)))))),
% 6.71/4.69 inference(modus_ponens,[status(thm)],[1412, 1411])).
% 6.71/4.69 tff(1414,plain,
% 6.71/4.69 (v100(constB55) <=> (~((~v101(constB55)) | (~v110(constB55))))),
% 6.71/4.69 inference(unit_resolution,[status(thm)],[1413, 1410, 445])).
% 6.71/4.69 tff(1415,plain,
% 6.71/4.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB54, constB55)) | (v101(constB55) <=> (~((~v1(constB55)) | (~v102(constB55))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB54, constB55)) | (v101(constB55) <=> (~((~v1(constB55)) | (~v102(constB55))))))),
% 6.71/4.69 inference(rewrite,[status(thm)],[])).
% 6.71/4.69 tff(1416,plain,
% 6.71/4.69 (((~nextState(constB54, constB55)) | (v101(constB55) <=> (~((~v102(constB55)) | (~v1(constB55)))))) <=> ((~nextState(constB54, constB55)) | (v101(constB55) <=> (~((~v1(constB55)) | (~v102(constB55))))))),
% 6.71/4.69 inference(rewrite,[status(thm)],[])).
% 6.71/4.69 tff(1417,plain,
% 6.71/4.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB54, constB55)) | (v101(constB55) <=> (~((~v102(constB55)) | (~v1(constB55))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB54, constB55)) | (v101(constB55) <=> (~((~v1(constB55)) | (~v102(constB55)))))))),
% 6.71/4.69 inference(monotonicity,[status(thm)],[1416])).
% 6.71/4.69 tff(1418,plain,
% 6.71/4.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB54, constB55)) | (v101(constB55) <=> (~((~v102(constB55)) | (~v1(constB55))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB54, constB55)) | (v101(constB55) <=> (~((~v1(constB55)) | (~v102(constB55))))))),
% 6.71/4.69 inference(transitivity,[status(thm)],[1417, 1415])).
% 6.71/4.69 tff(1419,plain,
% 6.71/4.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB54, constB55)) | (v101(constB55) <=> (~((~v102(constB55)) | (~v1(constB55))))))),
% 6.71/4.69 inference(quant_inst,[status(thm)],[])).
% 6.71/4.69 tff(1420,plain,
% 6.71/4.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB54, constB55)) | (v101(constB55) <=> (~((~v1(constB55)) | (~v102(constB55)))))),
% 6.71/4.69 inference(modus_ponens,[status(thm)],[1419, 1418])).
% 6.71/4.69 tff(1421,plain,
% 6.71/4.69 (v101(constB55) <=> (~((~v1(constB55)) | (~v102(constB55))))),
% 6.71/4.69 inference(unit_resolution,[status(thm)],[1420, 1410, 465])).
% 6.71/4.69 tff(1422,plain,
% 6.71/4.69 ((~v1(constB55)) <=> (~v1(constB55))),
% 6.71/4.69 inference(rewrite,[status(thm)],[])).
% 6.71/4.69 tff(1423,axiom,(~v1(constB55)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_55')).
% 6.71/4.69 tff(1424,plain,
% 6.71/4.69 (~v1(constB55)),
% 6.71/4.69 inference(modus_ponens,[status(thm)],[1423, 1422])).
% 6.71/4.69 tff(1425,plain,
% 6.71/4.69 (((~v1(constB55)) | (~v102(constB55))) | v1(constB55)),
% 6.71/4.69 inference(tautology,[status(thm)],[])).
% 6.71/4.69 tff(1426,plain,
% 6.71/4.69 ((~v1(constB55)) | (~v102(constB55))),
% 6.71/4.69 inference(unit_resolution,[status(thm)],[1425, 1424])).
% 6.71/4.69 tff(1427,plain,
% 6.71/4.69 ((~(v101(constB55) <=> (~((~v1(constB55)) | (~v102(constB55)))))) | (~v101(constB55)) | (~((~v1(constB55)) | (~v102(constB55))))),
% 6.71/4.69 inference(tautology,[status(thm)],[])).
% 6.71/4.69 tff(1428,plain,
% 6.71/4.69 ((~(v101(constB55) <=> (~((~v1(constB55)) | (~v102(constB55)))))) | (~v101(constB55))),
% 6.71/4.69 inference(unit_resolution,[status(thm)],[1427, 1426])).
% 6.71/4.69 tff(1429,plain,
% 6.71/4.69 (~v101(constB55)),
% 6.71/4.69 inference(unit_resolution,[status(thm)],[1428, 1421])).
% 6.71/4.69 tff(1430,plain,
% 6.71/4.69 (((~v101(constB55)) | (~v110(constB55))) | v101(constB55)),
% 6.71/4.69 inference(tautology,[status(thm)],[])).
% 6.71/4.69 tff(1431,plain,
% 6.71/4.69 ((~v101(constB55)) | (~v110(constB55))),
% 6.71/4.69 inference(unit_resolution,[status(thm)],[1430, 1429])).
% 6.71/4.69 tff(1432,plain,
% 6.71/4.69 ((~(v100(constB55) <=> (~((~v101(constB55)) | (~v110(constB55)))))) | (~v100(constB55)) | (~((~v101(constB55)) | (~v110(constB55))))),
% 6.71/4.69 inference(tautology,[status(thm)],[])).
% 6.71/4.69 tff(1433,plain,
% 6.71/4.69 (~v100(constB55)),
% 6.71/4.69 inference(unit_resolution,[status(thm)],[1432, 1431, 1414])).
% 6.71/4.69 tff(1434,plain,
% 6.71/4.69 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB55) | (~nextState(constB54, constB55)) | (~(((~v90(constB55, bitIndex1)) <=> v90(constB54, bitIndex1)) | ((~v90(constB55, bitIndex2)) <=> v90(constB54, bitIndex2)) | ((~v90(constB55, bitIndex0)) <=> v90(constB54, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB55) | (~nextState(constB54, constB55)) | (~(((~v90(constB55, bitIndex1)) <=> v90(constB54, bitIndex1)) | ((~v90(constB55, bitIndex2)) <=> v90(constB54, bitIndex2)) | ((~v90(constB55, bitIndex0)) <=> v90(constB54, bitIndex0)))))),
% 6.71/4.69 inference(rewrite,[status(thm)],[])).
% 6.71/4.69 tff(1435,plain,
% 6.71/4.69 ((v100(constB55) | (~nextState(constB54, constB55)) | (~(((~v90(constB55, bitIndex2)) <=> v90(constB54, bitIndex2)) | ((~v90(constB55, bitIndex1)) <=> v90(constB54, bitIndex1)) | ((~v90(constB55, bitIndex0)) <=> v90(constB54, bitIndex0))))) <=> (v100(constB55) | (~nextState(constB54, constB55)) | (~(((~v90(constB55, bitIndex1)) <=> v90(constB54, bitIndex1)) | ((~v90(constB55, bitIndex2)) <=> v90(constB54, bitIndex2)) | ((~v90(constB55, bitIndex0)) <=> v90(constB54, bitIndex0)))))),
% 6.71/4.69 inference(rewrite,[status(thm)],[])).
% 6.71/4.69 tff(1436,plain,
% 6.71/4.69 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB55) | (~nextState(constB54, constB55)) | (~(((~v90(constB55, bitIndex2)) <=> v90(constB54, bitIndex2)) | ((~v90(constB55, bitIndex1)) <=> v90(constB54, bitIndex1)) | ((~v90(constB55, bitIndex0)) <=> v90(constB54, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB55) | (~nextState(constB54, constB55)) | (~(((~v90(constB55, bitIndex1)) <=> v90(constB54, bitIndex1)) | ((~v90(constB55, bitIndex2)) <=> v90(constB54, bitIndex2)) | ((~v90(constB55, bitIndex0)) <=> v90(constB54, bitIndex0))))))),
% 6.71/4.69 inference(monotonicity,[status(thm)],[1435])).
% 6.71/4.69 tff(1437,plain,
% 6.71/4.69 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB55) | (~nextState(constB54, constB55)) | (~(((~v90(constB55, bitIndex2)) <=> v90(constB54, bitIndex2)) | ((~v90(constB55, bitIndex1)) <=> v90(constB54, bitIndex1)) | ((~v90(constB55, bitIndex0)) <=> v90(constB54, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB55) | (~nextState(constB54, constB55)) | (~(((~v90(constB55, bitIndex1)) <=> v90(constB54, bitIndex1)) | ((~v90(constB55, bitIndex2)) <=> v90(constB54, bitIndex2)) | ((~v90(constB55, bitIndex0)) <=> v90(constB54, bitIndex0)))))),
% 6.71/4.69 inference(transitivity,[status(thm)],[1436, 1434])).
% 6.71/4.69 tff(1438,plain,
% 6.71/4.69 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB55) | (~nextState(constB54, constB55)) | (~(((~v90(constB55, bitIndex2)) <=> v90(constB54, bitIndex2)) | ((~v90(constB55, bitIndex1)) <=> v90(constB54, bitIndex1)) | ((~v90(constB55, bitIndex0)) <=> v90(constB54, bitIndex0)))))),
% 6.71/4.69 inference(quant_inst,[status(thm)],[])).
% 6.71/4.69 tff(1439,plain,
% 6.71/4.69 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB55) | (~nextState(constB54, constB55)) | (~(((~v90(constB55, bitIndex1)) <=> v90(constB54, bitIndex1)) | ((~v90(constB55, bitIndex2)) <=> v90(constB54, bitIndex2)) | ((~v90(constB55, bitIndex0)) <=> v90(constB54, bitIndex0))))),
% 6.71/4.69 inference(modus_ponens,[status(thm)],[1438, 1437])).
% 6.71/4.69 tff(1440,plain,
% 6.71/4.69 (v100(constB55) | (~(((~v90(constB55, bitIndex1)) <=> v90(constB54, bitIndex1)) | ((~v90(constB55, bitIndex2)) <=> v90(constB54, bitIndex2)) | ((~v90(constB55, bitIndex0)) <=> v90(constB54, bitIndex0))))),
% 6.71/4.70 inference(unit_resolution,[status(thm)],[1439, 1410, 494])).
% 6.71/4.70 tff(1441,plain,
% 6.71/4.70 (~(((~v90(constB55, bitIndex1)) <=> v90(constB54, bitIndex1)) | ((~v90(constB55, bitIndex2)) <=> v90(constB54, bitIndex2)) | ((~v90(constB55, bitIndex0)) <=> v90(constB54, bitIndex0)))),
% 6.71/4.70 inference(unit_resolution,[status(thm)],[1440, 1433])).
% 6.71/4.70 tff(1442,plain,
% 6.71/4.70 ((((~v90(constB55, bitIndex1)) <=> v90(constB54, bitIndex1)) | ((~v90(constB55, bitIndex2)) <=> v90(constB54, bitIndex2)) | ((~v90(constB55, bitIndex0)) <=> v90(constB54, bitIndex0))) | (~((~v90(constB55, bitIndex0)) <=> v90(constB54, bitIndex0)))),
% 6.71/4.70 inference(tautology,[status(thm)],[])).
% 6.71/4.70 tff(1443,plain,
% 6.71/4.70 (~((~v90(constB55, bitIndex0)) <=> v90(constB54, bitIndex0))),
% 6.71/4.70 inference(unit_resolution,[status(thm)],[1442, 1441])).
% 6.71/4.70 tff(1444,plain,
% 6.71/4.70 (nextState(constB53, constB54) <=> nextState(constB53, constB54)),
% 6.71/4.70 inference(rewrite,[status(thm)],[])).
% 6.71/4.70 tff(1445,axiom,(nextState(constB53, constB54)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_53')).
% 6.71/4.70 tff(1446,plain,
% 6.71/4.70 (nextState(constB53, constB54)),
% 6.71/4.70 inference(modus_ponens,[status(thm)],[1445, 1444])).
% 6.71/4.70 tff(1447,plain,
% 6.71/4.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB53, constB54)) | (~(((~v129(constB54, bitIndex2)) <=> v127(constB53, bitIndex2)) | ((~v129(constB54, bitIndex1)) <=> v127(constB53, bitIndex1)) | ((~v129(constB54, bitIndex0)) <=> v127(constB53, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB53, constB54)) | (~(((~v129(constB54, bitIndex2)) <=> v127(constB53, bitIndex2)) | ((~v129(constB54, bitIndex1)) <=> v127(constB53, bitIndex1)) | ((~v129(constB54, bitIndex0)) <=> v127(constB53, bitIndex0)))))),
% 6.71/4.70 inference(rewrite,[status(thm)],[])).
% 6.71/4.70 tff(1448,plain,
% 6.71/4.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB53, constB54)) | (~(((~v129(constB54, bitIndex2)) <=> v127(constB53, bitIndex2)) | ((~v129(constB54, bitIndex1)) <=> v127(constB53, bitIndex1)) | ((~v129(constB54, bitIndex0)) <=> v127(constB53, bitIndex0)))))),
% 6.71/4.70 inference(quant_inst,[status(thm)],[])).
% 6.71/4.70 tff(1449,plain,
% 6.71/4.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB53, constB54)) | (~(((~v129(constB54, bitIndex2)) <=> v127(constB53, bitIndex2)) | ((~v129(constB54, bitIndex1)) <=> v127(constB53, bitIndex1)) | ((~v129(constB54, bitIndex0)) <=> v127(constB53, bitIndex0))))),
% 6.71/4.70 inference(modus_ponens,[status(thm)],[1448, 1447])).
% 6.71/4.70 tff(1450,plain,
% 6.71/4.70 (~(((~v129(constB54, bitIndex2)) <=> v127(constB53, bitIndex2)) | ((~v129(constB54, bitIndex1)) <=> v127(constB53, bitIndex1)) | ((~v129(constB54, bitIndex0)) <=> v127(constB53, bitIndex0)))),
% 6.71/4.70 inference(unit_resolution,[status(thm)],[1449, 1446, 517])).
% 6.71/4.70 tff(1451,plain,
% 6.71/4.70 ((((~v129(constB54, bitIndex2)) <=> v127(constB53, bitIndex2)) | ((~v129(constB54, bitIndex1)) <=> v127(constB53, bitIndex1)) | ((~v129(constB54, bitIndex0)) <=> v127(constB53, bitIndex0))) | (~((~v129(constB54, bitIndex0)) <=> v127(constB53, bitIndex0)))),
% 6.71/4.70 inference(tautology,[status(thm)],[])).
% 6.71/4.70 tff(1452,plain,
% 6.71/4.70 (~((~v129(constB54, bitIndex0)) <=> v127(constB53, bitIndex0))),
% 6.71/4.70 inference(unit_resolution,[status(thm)],[1451, 1450])).
% 6.71/4.70 tff(1453,plain,
% 6.71/4.70 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB53) <=> v26(constB53))),
% 6.71/4.70 inference(quant_inst,[status(thm)],[])).
% 6.71/4.70 tff(1454,plain,
% 6.71/4.70 (v111(constB53) <=> v26(constB53)),
% 6.71/4.70 inference(unit_resolution,[status(thm)],[1453, 536])).
% 6.71/4.70 tff(1455,plain,
% 6.71/4.70 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB53))),
% 6.71/4.70 inference(quant_inst,[status(thm)],[])).
% 6.71/4.70 tff(1456,plain,
% 6.71/4.70 (~v26(constB53)),
% 6.71/4.70 inference(unit_resolution,[status(thm)],[1455, 548])).
% 6.71/4.70 tff(1457,plain,
% 6.71/4.70 ((~(v111(constB53) <=> v26(constB53))) | (~v111(constB53)) | v26(constB53)),
% 6.71/4.70 inference(tautology,[status(thm)],[])).
% 6.71/4.70 tff(1458,plain,
% 6.71/4.70 ((~(v111(constB53) <=> v26(constB53))) | (~v111(constB53))),
% 6.71/4.70 inference(unit_resolution,[status(thm)],[1457, 1456])).
% 6.71/4.70 tff(1459,plain,
% 6.71/4.70 (~v111(constB53)),
% 6.71/4.70 inference(unit_resolution,[status(thm)],[1458, 1454])).
% 6.71/4.70 tff(1460,plain,
% 6.71/4.70 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB53) | (~(((~v127(constB53, bitIndex2)) <=> v130(constB53, bitIndex2)) | ((~v127(constB53, bitIndex1)) <=> v130(constB53, bitIndex1)) | ((~v127(constB53, bitIndex0)) <=> v130(constB53, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB53) | (~(((~v127(constB53, bitIndex2)) <=> v130(constB53, bitIndex2)) | ((~v127(constB53, bitIndex1)) <=> v130(constB53, bitIndex1)) | ((~v127(constB53, bitIndex0)) <=> v130(constB53, bitIndex0)))))),
% 6.71/4.70 inference(rewrite,[status(thm)],[])).
% 6.71/4.70 tff(1461,plain,
% 6.71/4.70 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB53) | (~(((~v127(constB53, bitIndex2)) <=> v130(constB53, bitIndex2)) | ((~v127(constB53, bitIndex1)) <=> v130(constB53, bitIndex1)) | ((~v127(constB53, bitIndex0)) <=> v130(constB53, bitIndex0)))))),
% 6.71/4.70 inference(quant_inst,[status(thm)],[])).
% 6.71/4.70 tff(1462,plain,
% 6.71/4.70 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB53) | (~(((~v127(constB53, bitIndex2)) <=> v130(constB53, bitIndex2)) | ((~v127(constB53, bitIndex1)) <=> v130(constB53, bitIndex1)) | ((~v127(constB53, bitIndex0)) <=> v130(constB53, bitIndex0))))),
% 6.71/4.70 inference(modus_ponens,[status(thm)],[1461, 1460])).
% 6.71/4.70 tff(1463,plain,
% 6.71/4.70 (v111(constB53) | (~(((~v127(constB53, bitIndex2)) <=> v130(constB53, bitIndex2)) | ((~v127(constB53, bitIndex1)) <=> v130(constB53, bitIndex1)) | ((~v127(constB53, bitIndex0)) <=> v130(constB53, bitIndex0))))),
% 6.71/4.70 inference(unit_resolution,[status(thm)],[1462, 566])).
% 6.71/4.70 tff(1464,plain,
% 6.71/4.70 (~(((~v127(constB53, bitIndex2)) <=> v130(constB53, bitIndex2)) | ((~v127(constB53, bitIndex1)) <=> v130(constB53, bitIndex1)) | ((~v127(constB53, bitIndex0)) <=> v130(constB53, bitIndex0)))),
% 6.71/4.70 inference(unit_resolution,[status(thm)],[1463, 1459])).
% 6.71/4.70 tff(1465,plain,
% 6.71/4.70 ((((~v127(constB53, bitIndex2)) <=> v130(constB53, bitIndex2)) | ((~v127(constB53, bitIndex1)) <=> v130(constB53, bitIndex1)) | ((~v127(constB53, bitIndex0)) <=> v130(constB53, bitIndex0))) | (~((~v127(constB53, bitIndex0)) <=> v130(constB53, bitIndex0)))),
% 6.71/4.70 inference(tautology,[status(thm)],[])).
% 6.71/4.70 tff(1466,plain,
% 6.71/4.70 (~((~v127(constB53, bitIndex0)) <=> v130(constB53, bitIndex0))),
% 6.71/4.70 inference(unit_resolution,[status(thm)],[1465, 1464])).
% 6.71/4.70 tff(1467,plain,
% 6.71/4.70 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB53) <=> (~(v90(constB53, bitIndex1) | v90(constB53, bitIndex0) | (~v90(constB53, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB53) <=> (~(v90(constB53, bitIndex1) | v90(constB53, bitIndex0) | (~v90(constB53, bitIndex2))))))),
% 6.71/4.70 inference(rewrite,[status(thm)],[])).
% 6.71/4.70 tff(1468,plain,
% 6.71/4.70 ((v123(constB53) <=> (~(v90(constB53, bitIndex0) | v90(constB53, bitIndex1) | (~v90(constB53, bitIndex2))))) <=> (v123(constB53) <=> (~(v90(constB53, bitIndex1) | v90(constB53, bitIndex0) | (~v90(constB53, bitIndex2)))))),
% 6.71/4.70 inference(rewrite,[status(thm)],[])).
% 6.71/4.70 tff(1469,plain,
% 6.71/4.70 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB53) <=> (~(v90(constB53, bitIndex0) | v90(constB53, bitIndex1) | (~v90(constB53, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB53) <=> (~(v90(constB53, bitIndex1) | v90(constB53, bitIndex0) | (~v90(constB53, bitIndex2))))))),
% 6.71/4.70 inference(monotonicity,[status(thm)],[1468])).
% 6.71/4.70 tff(1470,plain,
% 6.71/4.70 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB53) <=> (~(v90(constB53, bitIndex0) | v90(constB53, bitIndex1) | (~v90(constB53, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB53) <=> (~(v90(constB53, bitIndex1) | v90(constB53, bitIndex0) | (~v90(constB53, bitIndex2))))))),
% 6.71/4.70 inference(transitivity,[status(thm)],[1469, 1467])).
% 6.71/4.70 tff(1471,plain,
% 6.71/4.70 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB53) <=> (~(v90(constB53, bitIndex0) | v90(constB53, bitIndex1) | (~v90(constB53, bitIndex2)))))),
% 6.71/4.70 inference(quant_inst,[status(thm)],[])).
% 6.71/4.70 tff(1472,plain,
% 6.71/4.70 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB53) <=> (~(v90(constB53, bitIndex1) | v90(constB53, bitIndex0) | (~v90(constB53, bitIndex2)))))),
% 6.71/4.70 inference(modus_ponens,[status(thm)],[1471, 1470])).
% 6.71/4.70 tff(1473,plain,
% 6.71/4.70 (v123(constB53) <=> (~(v90(constB53, bitIndex1) | v90(constB53, bitIndex0) | (~v90(constB53, bitIndex2))))),
% 6.71/4.70 inference(unit_resolution,[status(thm)],[1472, 800])).
% 6.71/4.70 tff(1474,plain,
% 6.71/4.70 (nextState(constB52, constB53) <=> nextState(constB52, constB53)),
% 6.71/4.70 inference(rewrite,[status(thm)],[])).
% 6.71/4.70 tff(1475,axiom,(nextState(constB52, constB53)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_52')).
% 6.71/4.70 tff(1476,plain,
% 6.71/4.70 (nextState(constB52, constB53)),
% 6.71/4.70 inference(modus_ponens,[status(thm)],[1475, 1474])).
% 6.71/4.70 tff(1477,plain,
% 6.71/4.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB52, constB53)) | (v100(constB53) <=> (~((~v101(constB53)) | (~v110(constB53))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB52, constB53)) | (v100(constB53) <=> (~((~v101(constB53)) | (~v110(constB53))))))),
% 6.71/4.70 inference(rewrite,[status(thm)],[])).
% 6.71/4.70 tff(1478,plain,
% 6.71/4.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB52, constB53)) | (v100(constB53) <=> (~((~v101(constB53)) | (~v110(constB53))))))),
% 6.71/4.70 inference(quant_inst,[status(thm)],[])).
% 6.71/4.70 tff(1479,plain,
% 6.71/4.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB52, constB53)) | (v100(constB53) <=> (~((~v101(constB53)) | (~v110(constB53)))))),
% 6.71/4.70 inference(modus_ponens,[status(thm)],[1478, 1477])).
% 6.71/4.70 tff(1480,plain,
% 6.71/4.70 (v100(constB53) <=> (~((~v101(constB53)) | (~v110(constB53))))),
% 6.71/4.70 inference(unit_resolution,[status(thm)],[1479, 1476, 445])).
% 6.71/4.70 tff(1481,plain,
% 6.71/4.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB52, constB53)) | (v101(constB53) <=> (~((~v1(constB53)) | (~v102(constB53))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB52, constB53)) | (v101(constB53) <=> (~((~v1(constB53)) | (~v102(constB53))))))),
% 6.71/4.70 inference(rewrite,[status(thm)],[])).
% 6.71/4.70 tff(1482,plain,
% 6.71/4.70 (((~nextState(constB52, constB53)) | (v101(constB53) <=> (~((~v102(constB53)) | (~v1(constB53)))))) <=> ((~nextState(constB52, constB53)) | (v101(constB53) <=> (~((~v1(constB53)) | (~v102(constB53))))))),
% 6.71/4.70 inference(rewrite,[status(thm)],[])).
% 6.71/4.70 tff(1483,plain,
% 6.71/4.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB52, constB53)) | (v101(constB53) <=> (~((~v102(constB53)) | (~v1(constB53))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB52, constB53)) | (v101(constB53) <=> (~((~v1(constB53)) | (~v102(constB53)))))))),
% 6.71/4.70 inference(monotonicity,[status(thm)],[1482])).
% 6.71/4.70 tff(1484,plain,
% 6.71/4.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB52, constB53)) | (v101(constB53) <=> (~((~v102(constB53)) | (~v1(constB53))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB52, constB53)) | (v101(constB53) <=> (~((~v1(constB53)) | (~v102(constB53))))))),
% 6.71/4.70 inference(transitivity,[status(thm)],[1483, 1481])).
% 6.71/4.70 tff(1485,plain,
% 6.71/4.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB52, constB53)) | (v101(constB53) <=> (~((~v102(constB53)) | (~v1(constB53))))))),
% 6.71/4.70 inference(quant_inst,[status(thm)],[])).
% 6.71/4.70 tff(1486,plain,
% 6.71/4.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB52, constB53)) | (v101(constB53) <=> (~((~v1(constB53)) | (~v102(constB53)))))),
% 6.71/4.70 inference(modus_ponens,[status(thm)],[1485, 1484])).
% 6.71/4.70 tff(1487,plain,
% 6.71/4.70 (v101(constB53) <=> (~((~v1(constB53)) | (~v102(constB53))))),
% 6.71/4.70 inference(unit_resolution,[status(thm)],[1486, 1476, 465])).
% 6.71/4.70 tff(1488,plain,
% 6.71/4.70 ((~v1(constB53)) <=> (~v1(constB53))),
% 6.71/4.70 inference(rewrite,[status(thm)],[])).
% 6.71/4.70 tff(1489,axiom,(~v1(constB53)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_53')).
% 6.71/4.70 tff(1490,plain,
% 6.71/4.70 (~v1(constB53)),
% 6.71/4.70 inference(modus_ponens,[status(thm)],[1489, 1488])).
% 6.71/4.70 tff(1491,plain,
% 6.71/4.70 (((~v1(constB53)) | (~v102(constB53))) | v1(constB53)),
% 6.71/4.70 inference(tautology,[status(thm)],[])).
% 6.71/4.70 tff(1492,plain,
% 6.71/4.70 ((~v1(constB53)) | (~v102(constB53))),
% 6.71/4.70 inference(unit_resolution,[status(thm)],[1491, 1490])).
% 6.71/4.70 tff(1493,plain,
% 6.71/4.70 ((~(v101(constB53) <=> (~((~v1(constB53)) | (~v102(constB53)))))) | (~v101(constB53)) | (~((~v1(constB53)) | (~v102(constB53))))),
% 6.71/4.70 inference(tautology,[status(thm)],[])).
% 6.71/4.70 tff(1494,plain,
% 6.71/4.70 ((~(v101(constB53) <=> (~((~v1(constB53)) | (~v102(constB53)))))) | (~v101(constB53))),
% 6.71/4.70 inference(unit_resolution,[status(thm)],[1493, 1492])).
% 6.71/4.70 tff(1495,plain,
% 6.71/4.70 (~v101(constB53)),
% 6.71/4.70 inference(unit_resolution,[status(thm)],[1494, 1487])).
% 6.71/4.70 tff(1496,plain,
% 6.71/4.70 (((~v101(constB53)) | (~v110(constB53))) | v101(constB53)),
% 6.71/4.70 inference(tautology,[status(thm)],[])).
% 6.71/4.70 tff(1497,plain,
% 6.71/4.70 ((~v101(constB53)) | (~v110(constB53))),
% 6.71/4.70 inference(unit_resolution,[status(thm)],[1496, 1495])).
% 6.71/4.70 tff(1498,plain,
% 6.71/4.70 ((~(v100(constB53) <=> (~((~v101(constB53)) | (~v110(constB53)))))) | (~v100(constB53)) | (~((~v101(constB53)) | (~v110(constB53))))),
% 6.71/4.70 inference(tautology,[status(thm)],[])).
% 6.71/4.70 tff(1499,plain,
% 6.71/4.70 (~v100(constB53)),
% 6.71/4.70 inference(unit_resolution,[status(thm)],[1498, 1497, 1480])).
% 6.71/4.70 tff(1500,plain,
% 6.71/4.70 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB53) | (~nextState(constB52, constB53)) | (~(((~v90(constB53, bitIndex1)) <=> v90(constB52, bitIndex1)) | ((~v90(constB53, bitIndex2)) <=> v90(constB52, bitIndex2)) | ((~v90(constB53, bitIndex0)) <=> v90(constB52, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB53) | (~nextState(constB52, constB53)) | (~(((~v90(constB53, bitIndex1)) <=> v90(constB52, bitIndex1)) | ((~v90(constB53, bitIndex2)) <=> v90(constB52, bitIndex2)) | ((~v90(constB53, bitIndex0)) <=> v90(constB52, bitIndex0)))))),
% 6.71/4.70 inference(rewrite,[status(thm)],[])).
% 6.71/4.70 tff(1501,plain,
% 6.71/4.70 ((v100(constB53) | (~nextState(constB52, constB53)) | (~(((~v90(constB53, bitIndex2)) <=> v90(constB52, bitIndex2)) | ((~v90(constB53, bitIndex1)) <=> v90(constB52, bitIndex1)) | ((~v90(constB53, bitIndex0)) <=> v90(constB52, bitIndex0))))) <=> (v100(constB53) | (~nextState(constB52, constB53)) | (~(((~v90(constB53, bitIndex1)) <=> v90(constB52, bitIndex1)) | ((~v90(constB53, bitIndex2)) <=> v90(constB52, bitIndex2)) | ((~v90(constB53, bitIndex0)) <=> v90(constB52, bitIndex0)))))),
% 6.71/4.70 inference(rewrite,[status(thm)],[])).
% 6.71/4.70 tff(1502,plain,
% 6.71/4.70 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB53) | (~nextState(constB52, constB53)) | (~(((~v90(constB53, bitIndex2)) <=> v90(constB52, bitIndex2)) | ((~v90(constB53, bitIndex1)) <=> v90(constB52, bitIndex1)) | ((~v90(constB53, bitIndex0)) <=> v90(constB52, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB53) | (~nextState(constB52, constB53)) | (~(((~v90(constB53, bitIndex1)) <=> v90(constB52, bitIndex1)) | ((~v90(constB53, bitIndex2)) <=> v90(constB52, bitIndex2)) | ((~v90(constB53, bitIndex0)) <=> v90(constB52, bitIndex0))))))),
% 6.71/4.70 inference(monotonicity,[status(thm)],[1501])).
% 6.71/4.70 tff(1503,plain,
% 6.71/4.70 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB53) | (~nextState(constB52, constB53)) | (~(((~v90(constB53, bitIndex2)) <=> v90(constB52, bitIndex2)) | ((~v90(constB53, bitIndex1)) <=> v90(constB52, bitIndex1)) | ((~v90(constB53, bitIndex0)) <=> v90(constB52, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB53) | (~nextState(constB52, constB53)) | (~(((~v90(constB53, bitIndex1)) <=> v90(constB52, bitIndex1)) | ((~v90(constB53, bitIndex2)) <=> v90(constB52, bitIndex2)) | ((~v90(constB53, bitIndex0)) <=> v90(constB52, bitIndex0)))))),
% 6.71/4.70 inference(transitivity,[status(thm)],[1502, 1500])).
% 6.71/4.70 tff(1504,plain,
% 6.71/4.70 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB53) | (~nextState(constB52, constB53)) | (~(((~v90(constB53, bitIndex2)) <=> v90(constB52, bitIndex2)) | ((~v90(constB53, bitIndex1)) <=> v90(constB52, bitIndex1)) | ((~v90(constB53, bitIndex0)) <=> v90(constB52, bitIndex0)))))),
% 6.71/4.70 inference(quant_inst,[status(thm)],[])).
% 6.71/4.70 tff(1505,plain,
% 6.71/4.70 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB53) | (~nextState(constB52, constB53)) | (~(((~v90(constB53, bitIndex1)) <=> v90(constB52, bitIndex1)) | ((~v90(constB53, bitIndex2)) <=> v90(constB52, bitIndex2)) | ((~v90(constB53, bitIndex0)) <=> v90(constB52, bitIndex0))))),
% 6.71/4.70 inference(modus_ponens,[status(thm)],[1504, 1503])).
% 6.71/4.70 tff(1506,plain,
% 6.71/4.70 (v100(constB53) | (~(((~v90(constB53, bitIndex1)) <=> v90(constB52, bitIndex1)) | ((~v90(constB53, bitIndex2)) <=> v90(constB52, bitIndex2)) | ((~v90(constB53, bitIndex0)) <=> v90(constB52, bitIndex0))))),
% 6.71/4.70 inference(unit_resolution,[status(thm)],[1505, 1476, 494])).
% 6.71/4.70 tff(1507,plain,
% 6.71/4.70 (~(((~v90(constB53, bitIndex1)) <=> v90(constB52, bitIndex1)) | ((~v90(constB53, bitIndex2)) <=> v90(constB52, bitIndex2)) | ((~v90(constB53, bitIndex0)) <=> v90(constB52, bitIndex0)))),
% 6.71/4.70 inference(unit_resolution,[status(thm)],[1506, 1499])).
% 6.71/4.70 tff(1508,plain,
% 6.71/4.70 ((((~v90(constB53, bitIndex1)) <=> v90(constB52, bitIndex1)) | ((~v90(constB53, bitIndex2)) <=> v90(constB52, bitIndex2)) | ((~v90(constB53, bitIndex0)) <=> v90(constB52, bitIndex0))) | (~((~v90(constB53, bitIndex2)) <=> v90(constB52, bitIndex2)))),
% 6.71/4.70 inference(tautology,[status(thm)],[])).
% 6.71/4.70 tff(1509,plain,
% 6.71/4.70 (~((~v90(constB53, bitIndex2)) <=> v90(constB52, bitIndex2))),
% 6.71/4.70 inference(unit_resolution,[status(thm)],[1508, 1507])).
% 6.71/4.70 tff(1510,plain,
% 6.71/4.70 (nextState(constB51, constB52) <=> nextState(constB51, constB52)),
% 6.71/4.70 inference(rewrite,[status(thm)],[])).
% 6.71/4.70 tff(1511,axiom,(nextState(constB51, constB52)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_51')).
% 6.71/4.70 tff(1512,plain,
% 6.71/4.70 (nextState(constB51, constB52)),
% 6.71/4.70 inference(modus_ponens,[status(thm)],[1511, 1510])).
% 6.71/4.70 tff(1513,plain,
% 6.71/4.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB51, constB52)) | (~(((~v129(constB52, bitIndex2)) <=> v127(constB51, bitIndex2)) | ((~v129(constB52, bitIndex1)) <=> v127(constB51, bitIndex1)) | ((~v129(constB52, bitIndex0)) <=> v127(constB51, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB51, constB52)) | (~(((~v129(constB52, bitIndex2)) <=> v127(constB51, bitIndex2)) | ((~v129(constB52, bitIndex1)) <=> v127(constB51, bitIndex1)) | ((~v129(constB52, bitIndex0)) <=> v127(constB51, bitIndex0)))))),
% 6.71/4.70 inference(rewrite,[status(thm)],[])).
% 6.71/4.70 tff(1514,plain,
% 6.71/4.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB51, constB52)) | (~(((~v129(constB52, bitIndex2)) <=> v127(constB51, bitIndex2)) | ((~v129(constB52, bitIndex1)) <=> v127(constB51, bitIndex1)) | ((~v129(constB52, bitIndex0)) <=> v127(constB51, bitIndex0)))))),
% 6.71/4.70 inference(quant_inst,[status(thm)],[])).
% 6.71/4.70 tff(1515,plain,
% 6.71/4.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB51, constB52)) | (~(((~v129(constB52, bitIndex2)) <=> v127(constB51, bitIndex2)) | ((~v129(constB52, bitIndex1)) <=> v127(constB51, bitIndex1)) | ((~v129(constB52, bitIndex0)) <=> v127(constB51, bitIndex0))))),
% 6.71/4.70 inference(modus_ponens,[status(thm)],[1514, 1513])).
% 6.71/4.70 tff(1516,plain,
% 6.71/4.70 (~(((~v129(constB52, bitIndex2)) <=> v127(constB51, bitIndex2)) | ((~v129(constB52, bitIndex1)) <=> v127(constB51, bitIndex1)) | ((~v129(constB52, bitIndex0)) <=> v127(constB51, bitIndex0)))),
% 6.71/4.70 inference(unit_resolution,[status(thm)],[1515, 1512, 517])).
% 6.71/4.70 tff(1517,plain,
% 6.71/4.70 ((((~v129(constB52, bitIndex2)) <=> v127(constB51, bitIndex2)) | ((~v129(constB52, bitIndex1)) <=> v127(constB51, bitIndex1)) | ((~v129(constB52, bitIndex0)) <=> v127(constB51, bitIndex0))) | (~((~v129(constB52, bitIndex2)) <=> v127(constB51, bitIndex2)))),
% 6.71/4.70 inference(tautology,[status(thm)],[])).
% 6.71/4.70 tff(1518,plain,
% 6.71/4.70 (~((~v129(constB52, bitIndex2)) <=> v127(constB51, bitIndex2))),
% 6.71/4.70 inference(unit_resolution,[status(thm)],[1517, 1516])).
% 6.71/4.70 tff(1519,plain,
% 6.71/4.70 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB51) <=> v26(constB51))),
% 6.71/4.70 inference(quant_inst,[status(thm)],[])).
% 6.71/4.70 tff(1520,plain,
% 6.71/4.70 (v111(constB51) <=> v26(constB51)),
% 6.71/4.70 inference(unit_resolution,[status(thm)],[1519, 536])).
% 6.71/4.70 tff(1521,plain,
% 6.71/4.70 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB51))),
% 6.71/4.70 inference(quant_inst,[status(thm)],[])).
% 6.71/4.70 tff(1522,plain,
% 6.71/4.70 (~v26(constB51)),
% 6.71/4.70 inference(unit_resolution,[status(thm)],[1521, 548])).
% 6.71/4.70 tff(1523,plain,
% 6.71/4.70 ((~(v111(constB51) <=> v26(constB51))) | (~v111(constB51)) | v26(constB51)),
% 6.71/4.70 inference(tautology,[status(thm)],[])).
% 6.71/4.70 tff(1524,plain,
% 6.71/4.70 ((~(v111(constB51) <=> v26(constB51))) | (~v111(constB51))),
% 6.71/4.70 inference(unit_resolution,[status(thm)],[1523, 1522])).
% 6.71/4.70 tff(1525,plain,
% 6.71/4.70 (~v111(constB51)),
% 6.71/4.70 inference(unit_resolution,[status(thm)],[1524, 1520])).
% 6.71/4.70 tff(1526,plain,
% 6.71/4.70 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB51) | (~(((~v127(constB51, bitIndex2)) <=> v130(constB51, bitIndex2)) | ((~v127(constB51, bitIndex1)) <=> v130(constB51, bitIndex1)) | ((~v127(constB51, bitIndex0)) <=> v130(constB51, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB51) | (~(((~v127(constB51, bitIndex2)) <=> v130(constB51, bitIndex2)) | ((~v127(constB51, bitIndex1)) <=> v130(constB51, bitIndex1)) | ((~v127(constB51, bitIndex0)) <=> v130(constB51, bitIndex0)))))),
% 6.71/4.70 inference(rewrite,[status(thm)],[])).
% 6.71/4.70 tff(1527,plain,
% 6.71/4.70 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB51) | (~(((~v127(constB51, bitIndex2)) <=> v130(constB51, bitIndex2)) | ((~v127(constB51, bitIndex1)) <=> v130(constB51, bitIndex1)) | ((~v127(constB51, bitIndex0)) <=> v130(constB51, bitIndex0)))))),
% 6.71/4.70 inference(quant_inst,[status(thm)],[])).
% 6.71/4.70 tff(1528,plain,
% 6.71/4.70 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB51) | (~(((~v127(constB51, bitIndex2)) <=> v130(constB51, bitIndex2)) | ((~v127(constB51, bitIndex1)) <=> v130(constB51, bitIndex1)) | ((~v127(constB51, bitIndex0)) <=> v130(constB51, bitIndex0))))),
% 6.71/4.70 inference(modus_ponens,[status(thm)],[1527, 1526])).
% 6.71/4.70 tff(1529,plain,
% 6.71/4.70 (v111(constB51) | (~(((~v127(constB51, bitIndex2)) <=> v130(constB51, bitIndex2)) | ((~v127(constB51, bitIndex1)) <=> v130(constB51, bitIndex1)) | ((~v127(constB51, bitIndex0)) <=> v130(constB51, bitIndex0))))),
% 6.71/4.71 inference(unit_resolution,[status(thm)],[1528, 566])).
% 6.71/4.71 tff(1530,plain,
% 6.71/4.71 (~(((~v127(constB51, bitIndex2)) <=> v130(constB51, bitIndex2)) | ((~v127(constB51, bitIndex1)) <=> v130(constB51, bitIndex1)) | ((~v127(constB51, bitIndex0)) <=> v130(constB51, bitIndex0)))),
% 6.71/4.71 inference(unit_resolution,[status(thm)],[1529, 1525])).
% 6.71/4.71 tff(1531,plain,
% 6.71/4.71 ((((~v127(constB51, bitIndex2)) <=> v130(constB51, bitIndex2)) | ((~v127(constB51, bitIndex1)) <=> v130(constB51, bitIndex1)) | ((~v127(constB51, bitIndex0)) <=> v130(constB51, bitIndex0))) | (~((~v127(constB51, bitIndex2)) <=> v130(constB51, bitIndex2)))),
% 6.71/4.71 inference(tautology,[status(thm)],[])).
% 6.71/4.71 tff(1532,plain,
% 6.71/4.71 (~((~v127(constB51, bitIndex2)) <=> v130(constB51, bitIndex2))),
% 6.71/4.71 inference(unit_resolution,[status(thm)],[1531, 1530])).
% 6.71/4.71 tff(1533,plain,
% 6.71/4.71 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB51) <=> (~(v90(constB51, bitIndex2) | (~v90(constB51, bitIndex1)) | (~v90(constB51, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB51) <=> (~(v90(constB51, bitIndex2) | (~v90(constB51, bitIndex1)) | (~v90(constB51, bitIndex0))))))),
% 6.71/4.71 inference(rewrite,[status(thm)],[])).
% 6.71/4.71 tff(1534,plain,
% 6.71/4.71 ((v122(constB51) <=> (~(v90(constB51, bitIndex2) | (~v90(constB51, bitIndex0)) | (~v90(constB51, bitIndex1))))) <=> (v122(constB51) <=> (~(v90(constB51, bitIndex2) | (~v90(constB51, bitIndex1)) | (~v90(constB51, bitIndex0)))))),
% 6.71/4.71 inference(rewrite,[status(thm)],[])).
% 6.71/4.71 tff(1535,plain,
% 6.71/4.71 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB51) <=> (~(v90(constB51, bitIndex2) | (~v90(constB51, bitIndex0)) | (~v90(constB51, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB51) <=> (~(v90(constB51, bitIndex2) | (~v90(constB51, bitIndex1)) | (~v90(constB51, bitIndex0))))))),
% 6.71/4.71 inference(monotonicity,[status(thm)],[1534])).
% 6.71/4.71 tff(1536,plain,
% 6.71/4.71 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB51) <=> (~(v90(constB51, bitIndex2) | (~v90(constB51, bitIndex0)) | (~v90(constB51, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB51) <=> (~(v90(constB51, bitIndex2) | (~v90(constB51, bitIndex1)) | (~v90(constB51, bitIndex0))))))),
% 6.71/4.71 inference(transitivity,[status(thm)],[1535, 1533])).
% 6.71/4.71 tff(1537,plain,
% 6.71/4.71 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB51) <=> (~(v90(constB51, bitIndex2) | (~v90(constB51, bitIndex0)) | (~v90(constB51, bitIndex1)))))),
% 6.71/4.71 inference(quant_inst,[status(thm)],[])).
% 6.71/4.71 tff(1538,plain,
% 6.71/4.71 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB51) <=> (~(v90(constB51, bitIndex2) | (~v90(constB51, bitIndex1)) | (~v90(constB51, bitIndex0)))))),
% 6.71/4.71 inference(modus_ponens,[status(thm)],[1537, 1536])).
% 6.71/4.71 tff(1539,plain,
% 6.71/4.71 (v122(constB51) <=> (~(v90(constB51, bitIndex2) | (~v90(constB51, bitIndex1)) | (~v90(constB51, bitIndex0))))),
% 6.71/4.71 inference(unit_resolution,[status(thm)],[1538, 879])).
% 6.71/4.71 tff(1540,plain,
% 6.71/4.71 (nextState(constB50, constB51) <=> nextState(constB50, constB51)),
% 6.71/4.71 inference(rewrite,[status(thm)],[])).
% 6.71/4.71 tff(1541,axiom,(nextState(constB50, constB51)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_50')).
% 6.71/4.71 tff(1542,plain,
% 6.71/4.71 (nextState(constB50, constB51)),
% 6.71/4.71 inference(modus_ponens,[status(thm)],[1541, 1540])).
% 6.71/4.71 tff(1543,plain,
% 6.71/4.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB50, constB51)) | (v100(constB51) <=> (~((~v101(constB51)) | (~v110(constB51))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB50, constB51)) | (v100(constB51) <=> (~((~v101(constB51)) | (~v110(constB51))))))),
% 6.71/4.71 inference(rewrite,[status(thm)],[])).
% 6.71/4.71 tff(1544,plain,
% 6.71/4.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB50, constB51)) | (v100(constB51) <=> (~((~v101(constB51)) | (~v110(constB51))))))),
% 6.71/4.71 inference(quant_inst,[status(thm)],[])).
% 6.71/4.71 tff(1545,plain,
% 6.71/4.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB50, constB51)) | (v100(constB51) <=> (~((~v101(constB51)) | (~v110(constB51)))))),
% 6.71/4.71 inference(modus_ponens,[status(thm)],[1544, 1543])).
% 6.71/4.71 tff(1546,plain,
% 6.71/4.71 (v100(constB51) <=> (~((~v101(constB51)) | (~v110(constB51))))),
% 6.71/4.71 inference(unit_resolution,[status(thm)],[1545, 1542, 445])).
% 6.71/4.71 tff(1547,plain,
% 6.71/4.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB50, constB51)) | (v101(constB51) <=> (~((~v1(constB51)) | (~v102(constB51))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB50, constB51)) | (v101(constB51) <=> (~((~v1(constB51)) | (~v102(constB51))))))),
% 6.71/4.71 inference(rewrite,[status(thm)],[])).
% 6.71/4.71 tff(1548,plain,
% 6.71/4.71 (((~nextState(constB50, constB51)) | (v101(constB51) <=> (~((~v102(constB51)) | (~v1(constB51)))))) <=> ((~nextState(constB50, constB51)) | (v101(constB51) <=> (~((~v1(constB51)) | (~v102(constB51))))))),
% 6.71/4.71 inference(rewrite,[status(thm)],[])).
% 6.71/4.71 tff(1549,plain,
% 6.71/4.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB50, constB51)) | (v101(constB51) <=> (~((~v102(constB51)) | (~v1(constB51))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB50, constB51)) | (v101(constB51) <=> (~((~v1(constB51)) | (~v102(constB51)))))))),
% 6.71/4.71 inference(monotonicity,[status(thm)],[1548])).
% 6.71/4.71 tff(1550,plain,
% 6.71/4.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB50, constB51)) | (v101(constB51) <=> (~((~v102(constB51)) | (~v1(constB51))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB50, constB51)) | (v101(constB51) <=> (~((~v1(constB51)) | (~v102(constB51))))))),
% 6.71/4.71 inference(transitivity,[status(thm)],[1549, 1547])).
% 6.71/4.71 tff(1551,plain,
% 6.71/4.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB50, constB51)) | (v101(constB51) <=> (~((~v102(constB51)) | (~v1(constB51))))))),
% 6.71/4.71 inference(quant_inst,[status(thm)],[])).
% 6.71/4.71 tff(1552,plain,
% 6.71/4.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB50, constB51)) | (v101(constB51) <=> (~((~v1(constB51)) | (~v102(constB51)))))),
% 6.71/4.71 inference(modus_ponens,[status(thm)],[1551, 1550])).
% 6.71/4.71 tff(1553,plain,
% 6.71/4.71 (v101(constB51) <=> (~((~v1(constB51)) | (~v102(constB51))))),
% 6.71/4.71 inference(unit_resolution,[status(thm)],[1552, 1542, 465])).
% 6.71/4.71 tff(1554,plain,
% 6.71/4.71 ((~v1(constB51)) <=> (~v1(constB51))),
% 6.71/4.71 inference(rewrite,[status(thm)],[])).
% 6.71/4.71 tff(1555,axiom,(~v1(constB51)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_51')).
% 6.71/4.71 tff(1556,plain,
% 6.71/4.71 (~v1(constB51)),
% 6.71/4.71 inference(modus_ponens,[status(thm)],[1555, 1554])).
% 6.71/4.71 tff(1557,plain,
% 6.71/4.71 (((~v1(constB51)) | (~v102(constB51))) | v1(constB51)),
% 6.71/4.71 inference(tautology,[status(thm)],[])).
% 6.71/4.71 tff(1558,plain,
% 6.71/4.71 ((~v1(constB51)) | (~v102(constB51))),
% 6.71/4.71 inference(unit_resolution,[status(thm)],[1557, 1556])).
% 6.71/4.71 tff(1559,plain,
% 6.71/4.71 ((~(v101(constB51) <=> (~((~v1(constB51)) | (~v102(constB51)))))) | (~v101(constB51)) | (~((~v1(constB51)) | (~v102(constB51))))),
% 6.71/4.71 inference(tautology,[status(thm)],[])).
% 6.71/4.71 tff(1560,plain,
% 6.71/4.71 ((~(v101(constB51) <=> (~((~v1(constB51)) | (~v102(constB51)))))) | (~v101(constB51))),
% 6.71/4.71 inference(unit_resolution,[status(thm)],[1559, 1558])).
% 6.71/4.71 tff(1561,plain,
% 6.71/4.71 (~v101(constB51)),
% 6.71/4.71 inference(unit_resolution,[status(thm)],[1560, 1553])).
% 6.71/4.71 tff(1562,plain,
% 6.71/4.71 (((~v101(constB51)) | (~v110(constB51))) | v101(constB51)),
% 6.71/4.71 inference(tautology,[status(thm)],[])).
% 6.71/4.71 tff(1563,plain,
% 6.71/4.71 ((~v101(constB51)) | (~v110(constB51))),
% 6.71/4.71 inference(unit_resolution,[status(thm)],[1562, 1561])).
% 6.71/4.71 tff(1564,plain,
% 6.71/4.71 ((~(v100(constB51) <=> (~((~v101(constB51)) | (~v110(constB51)))))) | (~v100(constB51)) | (~((~v101(constB51)) | (~v110(constB51))))),
% 6.71/4.71 inference(tautology,[status(thm)],[])).
% 6.71/4.71 tff(1565,plain,
% 6.71/4.71 (~v100(constB51)),
% 6.71/4.71 inference(unit_resolution,[status(thm)],[1564, 1563, 1546])).
% 6.71/4.71 tff(1566,plain,
% 6.71/4.71 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB51) | (~nextState(constB50, constB51)) | (~(((~v90(constB51, bitIndex1)) <=> v90(constB50, bitIndex1)) | ((~v90(constB51, bitIndex2)) <=> v90(constB50, bitIndex2)) | ((~v90(constB51, bitIndex0)) <=> v90(constB50, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB51) | (~nextState(constB50, constB51)) | (~(((~v90(constB51, bitIndex1)) <=> v90(constB50, bitIndex1)) | ((~v90(constB51, bitIndex2)) <=> v90(constB50, bitIndex2)) | ((~v90(constB51, bitIndex0)) <=> v90(constB50, bitIndex0)))))),
% 6.71/4.71 inference(rewrite,[status(thm)],[])).
% 6.71/4.71 tff(1567,plain,
% 6.71/4.71 ((v100(constB51) | (~nextState(constB50, constB51)) | (~(((~v90(constB51, bitIndex2)) <=> v90(constB50, bitIndex2)) | ((~v90(constB51, bitIndex1)) <=> v90(constB50, bitIndex1)) | ((~v90(constB51, bitIndex0)) <=> v90(constB50, bitIndex0))))) <=> (v100(constB51) | (~nextState(constB50, constB51)) | (~(((~v90(constB51, bitIndex1)) <=> v90(constB50, bitIndex1)) | ((~v90(constB51, bitIndex2)) <=> v90(constB50, bitIndex2)) | ((~v90(constB51, bitIndex0)) <=> v90(constB50, bitIndex0)))))),
% 6.71/4.71 inference(rewrite,[status(thm)],[])).
% 6.71/4.71 tff(1568,plain,
% 6.71/4.71 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB51) | (~nextState(constB50, constB51)) | (~(((~v90(constB51, bitIndex2)) <=> v90(constB50, bitIndex2)) | ((~v90(constB51, bitIndex1)) <=> v90(constB50, bitIndex1)) | ((~v90(constB51, bitIndex0)) <=> v90(constB50, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB51) | (~nextState(constB50, constB51)) | (~(((~v90(constB51, bitIndex1)) <=> v90(constB50, bitIndex1)) | ((~v90(constB51, bitIndex2)) <=> v90(constB50, bitIndex2)) | ((~v90(constB51, bitIndex0)) <=> v90(constB50, bitIndex0))))))),
% 6.71/4.71 inference(monotonicity,[status(thm)],[1567])).
% 6.71/4.71 tff(1569,plain,
% 6.71/4.71 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB51) | (~nextState(constB50, constB51)) | (~(((~v90(constB51, bitIndex2)) <=> v90(constB50, bitIndex2)) | ((~v90(constB51, bitIndex1)) <=> v90(constB50, bitIndex1)) | ((~v90(constB51, bitIndex0)) <=> v90(constB50, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB51) | (~nextState(constB50, constB51)) | (~(((~v90(constB51, bitIndex1)) <=> v90(constB50, bitIndex1)) | ((~v90(constB51, bitIndex2)) <=> v90(constB50, bitIndex2)) | ((~v90(constB51, bitIndex0)) <=> v90(constB50, bitIndex0)))))),
% 6.71/4.71 inference(transitivity,[status(thm)],[1568, 1566])).
% 6.71/4.71 tff(1570,plain,
% 6.71/4.71 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB51) | (~nextState(constB50, constB51)) | (~(((~v90(constB51, bitIndex2)) <=> v90(constB50, bitIndex2)) | ((~v90(constB51, bitIndex1)) <=> v90(constB50, bitIndex1)) | ((~v90(constB51, bitIndex0)) <=> v90(constB50, bitIndex0)))))),
% 6.71/4.71 inference(quant_inst,[status(thm)],[])).
% 6.71/4.71 tff(1571,plain,
% 6.71/4.71 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB51) | (~nextState(constB50, constB51)) | (~(((~v90(constB51, bitIndex1)) <=> v90(constB50, bitIndex1)) | ((~v90(constB51, bitIndex2)) <=> v90(constB50, bitIndex2)) | ((~v90(constB51, bitIndex0)) <=> v90(constB50, bitIndex0))))),
% 6.71/4.71 inference(modus_ponens,[status(thm)],[1570, 1569])).
% 6.71/4.71 tff(1572,plain,
% 6.71/4.71 (v100(constB51) | (~(((~v90(constB51, bitIndex1)) <=> v90(constB50, bitIndex1)) | ((~v90(constB51, bitIndex2)) <=> v90(constB50, bitIndex2)) | ((~v90(constB51, bitIndex0)) <=> v90(constB50, bitIndex0))))),
% 6.71/4.71 inference(unit_resolution,[status(thm)],[1571, 1542, 494])).
% 6.71/4.71 tff(1573,plain,
% 6.71/4.71 (~(((~v90(constB51, bitIndex1)) <=> v90(constB50, bitIndex1)) | ((~v90(constB51, bitIndex2)) <=> v90(constB50, bitIndex2)) | ((~v90(constB51, bitIndex0)) <=> v90(constB50, bitIndex0)))),
% 6.71/4.71 inference(unit_resolution,[status(thm)],[1572, 1565])).
% 6.71/4.71 tff(1574,plain,
% 6.71/4.71 ((((~v90(constB51, bitIndex1)) <=> v90(constB50, bitIndex1)) | ((~v90(constB51, bitIndex2)) <=> v90(constB50, bitIndex2)) | ((~v90(constB51, bitIndex0)) <=> v90(constB50, bitIndex0))) | (~((~v90(constB51, bitIndex2)) <=> v90(constB50, bitIndex2)))),
% 6.71/4.71 inference(tautology,[status(thm)],[])).
% 6.71/4.71 tff(1575,plain,
% 6.71/4.71 (~((~v90(constB51, bitIndex2)) <=> v90(constB50, bitIndex2))),
% 6.71/4.71 inference(unit_resolution,[status(thm)],[1574, 1573])).
% 6.71/4.71 tff(1576,plain,
% 6.71/4.71 (nextState(constB49, constB50) <=> nextState(constB49, constB50)),
% 6.71/4.71 inference(rewrite,[status(thm)],[])).
% 6.71/4.71 tff(1577,axiom,(nextState(constB49, constB50)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_49')).
% 6.71/4.71 tff(1578,plain,
% 6.71/4.71 (nextState(constB49, constB50)),
% 6.71/4.71 inference(modus_ponens,[status(thm)],[1577, 1576])).
% 6.71/4.71 tff(1579,plain,
% 6.71/4.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB49, constB50)) | (~(((~v129(constB50, bitIndex2)) <=> v127(constB49, bitIndex2)) | ((~v129(constB50, bitIndex1)) <=> v127(constB49, bitIndex1)) | ((~v129(constB50, bitIndex0)) <=> v127(constB49, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB49, constB50)) | (~(((~v129(constB50, bitIndex2)) <=> v127(constB49, bitIndex2)) | ((~v129(constB50, bitIndex1)) <=> v127(constB49, bitIndex1)) | ((~v129(constB50, bitIndex0)) <=> v127(constB49, bitIndex0)))))),
% 6.71/4.71 inference(rewrite,[status(thm)],[])).
% 6.71/4.71 tff(1580,plain,
% 6.71/4.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB49, constB50)) | (~(((~v129(constB50, bitIndex2)) <=> v127(constB49, bitIndex2)) | ((~v129(constB50, bitIndex1)) <=> v127(constB49, bitIndex1)) | ((~v129(constB50, bitIndex0)) <=> v127(constB49, bitIndex0)))))),
% 6.71/4.71 inference(quant_inst,[status(thm)],[])).
% 6.71/4.71 tff(1581,plain,
% 6.71/4.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB49, constB50)) | (~(((~v129(constB50, bitIndex2)) <=> v127(constB49, bitIndex2)) | ((~v129(constB50, bitIndex1)) <=> v127(constB49, bitIndex1)) | ((~v129(constB50, bitIndex0)) <=> v127(constB49, bitIndex0))))),
% 6.71/4.71 inference(modus_ponens,[status(thm)],[1580, 1579])).
% 6.71/4.71 tff(1582,plain,
% 6.71/4.71 (~(((~v129(constB50, bitIndex2)) <=> v127(constB49, bitIndex2)) | ((~v129(constB50, bitIndex1)) <=> v127(constB49, bitIndex1)) | ((~v129(constB50, bitIndex0)) <=> v127(constB49, bitIndex0)))),
% 6.71/4.71 inference(unit_resolution,[status(thm)],[1581, 1578, 517])).
% 6.71/4.71 tff(1583,plain,
% 6.71/4.71 ((((~v129(constB50, bitIndex2)) <=> v127(constB49, bitIndex2)) | ((~v129(constB50, bitIndex1)) <=> v127(constB49, bitIndex1)) | ((~v129(constB50, bitIndex0)) <=> v127(constB49, bitIndex0))) | (~((~v129(constB50, bitIndex2)) <=> v127(constB49, bitIndex2)))),
% 6.71/4.71 inference(tautology,[status(thm)],[])).
% 6.71/4.71 tff(1584,plain,
% 6.71/4.71 (~((~v129(constB50, bitIndex2)) <=> v127(constB49, bitIndex2))),
% 6.71/4.71 inference(unit_resolution,[status(thm)],[1583, 1582])).
% 6.71/4.71 tff(1585,plain,
% 6.71/4.71 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB49) <=> v26(constB49))),
% 6.71/4.71 inference(quant_inst,[status(thm)],[])).
% 6.71/4.71 tff(1586,plain,
% 6.71/4.71 (v111(constB49) <=> v26(constB49)),
% 6.71/4.71 inference(unit_resolution,[status(thm)],[1585, 536])).
% 6.71/4.71 tff(1587,plain,
% 6.71/4.71 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB49))),
% 6.71/4.71 inference(quant_inst,[status(thm)],[])).
% 6.71/4.71 tff(1588,plain,
% 6.71/4.71 (~v26(constB49)),
% 6.71/4.71 inference(unit_resolution,[status(thm)],[1587, 548])).
% 6.71/4.71 tff(1589,plain,
% 6.71/4.71 ((~(v111(constB49) <=> v26(constB49))) | (~v111(constB49)) | v26(constB49)),
% 6.71/4.71 inference(tautology,[status(thm)],[])).
% 6.71/4.71 tff(1590,plain,
% 6.71/4.71 ((~(v111(constB49) <=> v26(constB49))) | (~v111(constB49))),
% 6.71/4.71 inference(unit_resolution,[status(thm)],[1589, 1588])).
% 6.71/4.71 tff(1591,plain,
% 6.71/4.71 (~v111(constB49)),
% 6.71/4.71 inference(unit_resolution,[status(thm)],[1590, 1586])).
% 6.71/4.71 tff(1592,plain,
% 6.71/4.71 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB49) | (~(((~v127(constB49, bitIndex2)) <=> v130(constB49, bitIndex2)) | ((~v127(constB49, bitIndex1)) <=> v130(constB49, bitIndex1)) | ((~v127(constB49, bitIndex0)) <=> v130(constB49, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB49) | (~(((~v127(constB49, bitIndex2)) <=> v130(constB49, bitIndex2)) | ((~v127(constB49, bitIndex1)) <=> v130(constB49, bitIndex1)) | ((~v127(constB49, bitIndex0)) <=> v130(constB49, bitIndex0)))))),
% 6.71/4.71 inference(rewrite,[status(thm)],[])).
% 6.71/4.71 tff(1593,plain,
% 6.71/4.71 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB49) | (~(((~v127(constB49, bitIndex2)) <=> v130(constB49, bitIndex2)) | ((~v127(constB49, bitIndex1)) <=> v130(constB49, bitIndex1)) | ((~v127(constB49, bitIndex0)) <=> v130(constB49, bitIndex0)))))),
% 6.71/4.71 inference(quant_inst,[status(thm)],[])).
% 6.71/4.71 tff(1594,plain,
% 6.71/4.71 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB49) | (~(((~v127(constB49, bitIndex2)) <=> v130(constB49, bitIndex2)) | ((~v127(constB49, bitIndex1)) <=> v130(constB49, bitIndex1)) | ((~v127(constB49, bitIndex0)) <=> v130(constB49, bitIndex0))))),
% 6.71/4.71 inference(modus_ponens,[status(thm)],[1593, 1592])).
% 6.71/4.71 tff(1595,plain,
% 6.71/4.71 (v111(constB49) | (~(((~v127(constB49, bitIndex2)) <=> v130(constB49, bitIndex2)) | ((~v127(constB49, bitIndex1)) <=> v130(constB49, bitIndex1)) | ((~v127(constB49, bitIndex0)) <=> v130(constB49, bitIndex0))))),
% 6.71/4.71 inference(unit_resolution,[status(thm)],[1594, 566])).
% 6.71/4.71 tff(1596,plain,
% 6.71/4.71 (~(((~v127(constB49, bitIndex2)) <=> v130(constB49, bitIndex2)) | ((~v127(constB49, bitIndex1)) <=> v130(constB49, bitIndex1)) | ((~v127(constB49, bitIndex0)) <=> v130(constB49, bitIndex0)))),
% 6.71/4.71 inference(unit_resolution,[status(thm)],[1595, 1591])).
% 6.71/4.71 tff(1597,plain,
% 6.71/4.71 ((((~v127(constB49, bitIndex2)) <=> v130(constB49, bitIndex2)) | ((~v127(constB49, bitIndex1)) <=> v130(constB49, bitIndex1)) | ((~v127(constB49, bitIndex0)) <=> v130(constB49, bitIndex0))) | (~((~v127(constB49, bitIndex2)) <=> v130(constB49, bitIndex2)))),
% 6.71/4.71 inference(tautology,[status(thm)],[])).
% 6.71/4.71 tff(1598,plain,
% 6.71/4.71 (~((~v127(constB49, bitIndex2)) <=> v130(constB49, bitIndex2))),
% 6.71/4.71 inference(unit_resolution,[status(thm)],[1597, 1596])).
% 6.71/4.71 tff(1599,plain,
% 6.71/4.71 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB49) <=> (~(v90(constB49, bitIndex2) | v90(constB49, bitIndex0) | (~v90(constB49, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB49) <=> (~(v90(constB49, bitIndex2) | v90(constB49, bitIndex0) | (~v90(constB49, bitIndex1))))))),
% 6.71/4.71 inference(rewrite,[status(thm)],[])).
% 6.71/4.71 tff(1600,plain,
% 6.71/4.71 ((v121(constB49) <=> (~(v90(constB49, bitIndex0) | v90(constB49, bitIndex2) | (~v90(constB49, bitIndex1))))) <=> (v121(constB49) <=> (~(v90(constB49, bitIndex2) | v90(constB49, bitIndex0) | (~v90(constB49, bitIndex1)))))),
% 6.71/4.71 inference(rewrite,[status(thm)],[])).
% 6.71/4.71 tff(1601,plain,
% 6.71/4.71 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB49) <=> (~(v90(constB49, bitIndex0) | v90(constB49, bitIndex2) | (~v90(constB49, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB49) <=> (~(v90(constB49, bitIndex2) | v90(constB49, bitIndex0) | (~v90(constB49, bitIndex1))))))),
% 6.71/4.71 inference(monotonicity,[status(thm)],[1600])).
% 6.71/4.71 tff(1602,plain,
% 6.71/4.71 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB49) <=> (~(v90(constB49, bitIndex0) | v90(constB49, bitIndex2) | (~v90(constB49, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB49) <=> (~(v90(constB49, bitIndex2) | v90(constB49, bitIndex0) | (~v90(constB49, bitIndex1))))))),
% 6.71/4.71 inference(transitivity,[status(thm)],[1601, 1599])).
% 6.71/4.71 tff(1603,plain,
% 6.71/4.71 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB49) <=> (~(v90(constB49, bitIndex0) | v90(constB49, bitIndex2) | (~v90(constB49, bitIndex1)))))),
% 6.71/4.71 inference(quant_inst,[status(thm)],[])).
% 6.71/4.71 tff(1604,plain,
% 6.71/4.71 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB49) <=> (~(v90(constB49, bitIndex2) | v90(constB49, bitIndex0) | (~v90(constB49, bitIndex1)))))),
% 6.71/4.71 inference(modus_ponens,[status(thm)],[1603, 1602])).
% 6.71/4.71 tff(1605,plain,
% 6.71/4.71 (v121(constB49) <=> (~(v90(constB49, bitIndex2) | v90(constB49, bitIndex0) | (~v90(constB49, bitIndex1))))),
% 6.71/4.71 inference(unit_resolution,[status(thm)],[1604, 586])).
% 6.71/4.71 tff(1606,plain,
% 6.71/4.71 (nextState(constB48, constB49) <=> nextState(constB48, constB49)),
% 6.71/4.71 inference(rewrite,[status(thm)],[])).
% 6.71/4.71 tff(1607,axiom,(nextState(constB48, constB49)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_48')).
% 6.71/4.71 tff(1608,plain,
% 6.71/4.71 (nextState(constB48, constB49)),
% 6.71/4.71 inference(modus_ponens,[status(thm)],[1607, 1606])).
% 6.71/4.71 tff(1609,plain,
% 6.71/4.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB48, constB49)) | (v100(constB49) <=> (~((~v101(constB49)) | (~v110(constB49))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB48, constB49)) | (v100(constB49) <=> (~((~v101(constB49)) | (~v110(constB49))))))),
% 6.71/4.71 inference(rewrite,[status(thm)],[])).
% 6.71/4.71 tff(1610,plain,
% 6.71/4.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB48, constB49)) | (v100(constB49) <=> (~((~v101(constB49)) | (~v110(constB49))))))),
% 6.71/4.71 inference(quant_inst,[status(thm)],[])).
% 6.71/4.71 tff(1611,plain,
% 6.71/4.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB48, constB49)) | (v100(constB49) <=> (~((~v101(constB49)) | (~v110(constB49)))))),
% 6.71/4.71 inference(modus_ponens,[status(thm)],[1610, 1609])).
% 6.71/4.71 tff(1612,plain,
% 6.71/4.71 (v100(constB49) <=> (~((~v101(constB49)) | (~v110(constB49))))),
% 6.71/4.71 inference(unit_resolution,[status(thm)],[1611, 1608, 445])).
% 6.71/4.71 tff(1613,plain,
% 6.71/4.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB48, constB49)) | (v101(constB49) <=> (~((~v1(constB49)) | (~v102(constB49))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB48, constB49)) | (v101(constB49) <=> (~((~v1(constB49)) | (~v102(constB49))))))),
% 6.71/4.71 inference(rewrite,[status(thm)],[])).
% 6.71/4.71 tff(1614,plain,
% 6.71/4.71 (((~nextState(constB48, constB49)) | (v101(constB49) <=> (~((~v102(constB49)) | (~v1(constB49)))))) <=> ((~nextState(constB48, constB49)) | (v101(constB49) <=> (~((~v1(constB49)) | (~v102(constB49))))))),
% 6.71/4.71 inference(rewrite,[status(thm)],[])).
% 6.71/4.71 tff(1615,plain,
% 6.71/4.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB48, constB49)) | (v101(constB49) <=> (~((~v102(constB49)) | (~v1(constB49))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB48, constB49)) | (v101(constB49) <=> (~((~v1(constB49)) | (~v102(constB49)))))))),
% 6.71/4.71 inference(monotonicity,[status(thm)],[1614])).
% 6.71/4.71 tff(1616,plain,
% 6.71/4.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB48, constB49)) | (v101(constB49) <=> (~((~v102(constB49)) | (~v1(constB49))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB48, constB49)) | (v101(constB49) <=> (~((~v1(constB49)) | (~v102(constB49))))))),
% 6.71/4.72 inference(transitivity,[status(thm)],[1615, 1613])).
% 6.71/4.72 tff(1617,plain,
% 6.71/4.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB48, constB49)) | (v101(constB49) <=> (~((~v102(constB49)) | (~v1(constB49))))))),
% 6.71/4.72 inference(quant_inst,[status(thm)],[])).
% 6.71/4.72 tff(1618,plain,
% 6.71/4.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB48, constB49)) | (v101(constB49) <=> (~((~v1(constB49)) | (~v102(constB49)))))),
% 6.71/4.72 inference(modus_ponens,[status(thm)],[1617, 1616])).
% 6.71/4.72 tff(1619,plain,
% 6.71/4.72 (v101(constB49) <=> (~((~v1(constB49)) | (~v102(constB49))))),
% 6.71/4.72 inference(unit_resolution,[status(thm)],[1618, 1608, 465])).
% 6.71/4.72 tff(1620,plain,
% 6.71/4.72 ((~v1(constB49)) <=> (~v1(constB49))),
% 6.71/4.72 inference(rewrite,[status(thm)],[])).
% 6.71/4.72 tff(1621,axiom,(~v1(constB49)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_49')).
% 6.71/4.72 tff(1622,plain,
% 6.71/4.72 (~v1(constB49)),
% 6.71/4.72 inference(modus_ponens,[status(thm)],[1621, 1620])).
% 6.71/4.72 tff(1623,plain,
% 6.71/4.72 (((~v1(constB49)) | (~v102(constB49))) | v1(constB49)),
% 6.71/4.72 inference(tautology,[status(thm)],[])).
% 6.71/4.72 tff(1624,plain,
% 6.71/4.72 ((~v1(constB49)) | (~v102(constB49))),
% 6.71/4.72 inference(unit_resolution,[status(thm)],[1623, 1622])).
% 6.71/4.72 tff(1625,plain,
% 6.71/4.72 ((~(v101(constB49) <=> (~((~v1(constB49)) | (~v102(constB49)))))) | (~v101(constB49)) | (~((~v1(constB49)) | (~v102(constB49))))),
% 6.71/4.72 inference(tautology,[status(thm)],[])).
% 6.71/4.72 tff(1626,plain,
% 6.71/4.72 ((~(v101(constB49) <=> (~((~v1(constB49)) | (~v102(constB49)))))) | (~v101(constB49))),
% 6.71/4.72 inference(unit_resolution,[status(thm)],[1625, 1624])).
% 6.71/4.72 tff(1627,plain,
% 6.71/4.72 (~v101(constB49)),
% 6.71/4.72 inference(unit_resolution,[status(thm)],[1626, 1619])).
% 6.71/4.72 tff(1628,plain,
% 6.71/4.72 (((~v101(constB49)) | (~v110(constB49))) | v101(constB49)),
% 6.71/4.72 inference(tautology,[status(thm)],[])).
% 6.71/4.72 tff(1629,plain,
% 6.71/4.72 ((~v101(constB49)) | (~v110(constB49))),
% 6.71/4.72 inference(unit_resolution,[status(thm)],[1628, 1627])).
% 6.71/4.72 tff(1630,plain,
% 6.71/4.72 ((~(v100(constB49) <=> (~((~v101(constB49)) | (~v110(constB49)))))) | (~v100(constB49)) | (~((~v101(constB49)) | (~v110(constB49))))),
% 6.71/4.72 inference(tautology,[status(thm)],[])).
% 6.71/4.72 tff(1631,plain,
% 6.71/4.72 (~v100(constB49)),
% 6.71/4.72 inference(unit_resolution,[status(thm)],[1630, 1629, 1612])).
% 6.71/4.72 tff(1632,plain,
% 6.71/4.72 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB49) | (~nextState(constB48, constB49)) | (~(((~v90(constB49, bitIndex1)) <=> v90(constB48, bitIndex1)) | ((~v90(constB49, bitIndex2)) <=> v90(constB48, bitIndex2)) | ((~v90(constB49, bitIndex0)) <=> v90(constB48, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB49) | (~nextState(constB48, constB49)) | (~(((~v90(constB49, bitIndex1)) <=> v90(constB48, bitIndex1)) | ((~v90(constB49, bitIndex2)) <=> v90(constB48, bitIndex2)) | ((~v90(constB49, bitIndex0)) <=> v90(constB48, bitIndex0)))))),
% 6.71/4.72 inference(rewrite,[status(thm)],[])).
% 6.71/4.72 tff(1633,plain,
% 6.71/4.72 ((v100(constB49) | (~nextState(constB48, constB49)) | (~(((~v90(constB49, bitIndex2)) <=> v90(constB48, bitIndex2)) | ((~v90(constB49, bitIndex1)) <=> v90(constB48, bitIndex1)) | ((~v90(constB49, bitIndex0)) <=> v90(constB48, bitIndex0))))) <=> (v100(constB49) | (~nextState(constB48, constB49)) | (~(((~v90(constB49, bitIndex1)) <=> v90(constB48, bitIndex1)) | ((~v90(constB49, bitIndex2)) <=> v90(constB48, bitIndex2)) | ((~v90(constB49, bitIndex0)) <=> v90(constB48, bitIndex0)))))),
% 6.71/4.72 inference(rewrite,[status(thm)],[])).
% 6.71/4.72 tff(1634,plain,
% 6.71/4.72 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB49) | (~nextState(constB48, constB49)) | (~(((~v90(constB49, bitIndex2)) <=> v90(constB48, bitIndex2)) | ((~v90(constB49, bitIndex1)) <=> v90(constB48, bitIndex1)) | ((~v90(constB49, bitIndex0)) <=> v90(constB48, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB49) | (~nextState(constB48, constB49)) | (~(((~v90(constB49, bitIndex1)) <=> v90(constB48, bitIndex1)) | ((~v90(constB49, bitIndex2)) <=> v90(constB48, bitIndex2)) | ((~v90(constB49, bitIndex0)) <=> v90(constB48, bitIndex0))))))),
% 6.71/4.72 inference(monotonicity,[status(thm)],[1633])).
% 6.71/4.72 tff(1635,plain,
% 6.71/4.72 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB49) | (~nextState(constB48, constB49)) | (~(((~v90(constB49, bitIndex2)) <=> v90(constB48, bitIndex2)) | ((~v90(constB49, bitIndex1)) <=> v90(constB48, bitIndex1)) | ((~v90(constB49, bitIndex0)) <=> v90(constB48, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB49) | (~nextState(constB48, constB49)) | (~(((~v90(constB49, bitIndex1)) <=> v90(constB48, bitIndex1)) | ((~v90(constB49, bitIndex2)) <=> v90(constB48, bitIndex2)) | ((~v90(constB49, bitIndex0)) <=> v90(constB48, bitIndex0)))))),
% 6.71/4.72 inference(transitivity,[status(thm)],[1634, 1632])).
% 6.71/4.72 tff(1636,plain,
% 6.71/4.72 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB49) | (~nextState(constB48, constB49)) | (~(((~v90(constB49, bitIndex2)) <=> v90(constB48, bitIndex2)) | ((~v90(constB49, bitIndex1)) <=> v90(constB48, bitIndex1)) | ((~v90(constB49, bitIndex0)) <=> v90(constB48, bitIndex0)))))),
% 6.71/4.72 inference(quant_inst,[status(thm)],[])).
% 6.71/4.72 tff(1637,plain,
% 6.71/4.72 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB49) | (~nextState(constB48, constB49)) | (~(((~v90(constB49, bitIndex1)) <=> v90(constB48, bitIndex1)) | ((~v90(constB49, bitIndex2)) <=> v90(constB48, bitIndex2)) | ((~v90(constB49, bitIndex0)) <=> v90(constB48, bitIndex0))))),
% 6.71/4.72 inference(modus_ponens,[status(thm)],[1636, 1635])).
% 6.71/4.72 tff(1638,plain,
% 6.71/4.72 (v100(constB49) | (~(((~v90(constB49, bitIndex1)) <=> v90(constB48, bitIndex1)) | ((~v90(constB49, bitIndex2)) <=> v90(constB48, bitIndex2)) | ((~v90(constB49, bitIndex0)) <=> v90(constB48, bitIndex0))))),
% 6.71/4.72 inference(unit_resolution,[status(thm)],[1637, 1608, 494])).
% 6.71/4.72 tff(1639,plain,
% 6.71/4.72 (~(((~v90(constB49, bitIndex1)) <=> v90(constB48, bitIndex1)) | ((~v90(constB49, bitIndex2)) <=> v90(constB48, bitIndex2)) | ((~v90(constB49, bitIndex0)) <=> v90(constB48, bitIndex0)))),
% 6.71/4.72 inference(unit_resolution,[status(thm)],[1638, 1631])).
% 6.71/4.72 tff(1640,plain,
% 6.71/4.72 ((((~v90(constB49, bitIndex1)) <=> v90(constB48, bitIndex1)) | ((~v90(constB49, bitIndex2)) <=> v90(constB48, bitIndex2)) | ((~v90(constB49, bitIndex0)) <=> v90(constB48, bitIndex0))) | (~((~v90(constB49, bitIndex2)) <=> v90(constB48, bitIndex2)))),
% 6.71/4.72 inference(tautology,[status(thm)],[])).
% 6.71/4.72 tff(1641,plain,
% 6.71/4.72 (~((~v90(constB49, bitIndex2)) <=> v90(constB48, bitIndex2))),
% 6.71/4.72 inference(unit_resolution,[status(thm)],[1640, 1639])).
% 6.71/4.72 tff(1642,plain,
% 6.71/4.72 (nextState(constB47, constB48) <=> nextState(constB47, constB48)),
% 6.71/4.72 inference(rewrite,[status(thm)],[])).
% 6.71/4.72 tff(1643,axiom,(nextState(constB47, constB48)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_47')).
% 6.71/4.72 tff(1644,plain,
% 6.71/4.72 (nextState(constB47, constB48)),
% 6.71/4.72 inference(modus_ponens,[status(thm)],[1643, 1642])).
% 6.71/4.72 tff(1645,plain,
% 6.71/4.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB47, constB48)) | (~(((~v129(constB48, bitIndex2)) <=> v127(constB47, bitIndex2)) | ((~v129(constB48, bitIndex1)) <=> v127(constB47, bitIndex1)) | ((~v129(constB48, bitIndex0)) <=> v127(constB47, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB47, constB48)) | (~(((~v129(constB48, bitIndex2)) <=> v127(constB47, bitIndex2)) | ((~v129(constB48, bitIndex1)) <=> v127(constB47, bitIndex1)) | ((~v129(constB48, bitIndex0)) <=> v127(constB47, bitIndex0)))))),
% 6.71/4.72 inference(rewrite,[status(thm)],[])).
% 6.71/4.72 tff(1646,plain,
% 6.71/4.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB47, constB48)) | (~(((~v129(constB48, bitIndex2)) <=> v127(constB47, bitIndex2)) | ((~v129(constB48, bitIndex1)) <=> v127(constB47, bitIndex1)) | ((~v129(constB48, bitIndex0)) <=> v127(constB47, bitIndex0)))))),
% 6.71/4.72 inference(quant_inst,[status(thm)],[])).
% 6.71/4.72 tff(1647,plain,
% 6.71/4.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB47, constB48)) | (~(((~v129(constB48, bitIndex2)) <=> v127(constB47, bitIndex2)) | ((~v129(constB48, bitIndex1)) <=> v127(constB47, bitIndex1)) | ((~v129(constB48, bitIndex0)) <=> v127(constB47, bitIndex0))))),
% 6.71/4.72 inference(modus_ponens,[status(thm)],[1646, 1645])).
% 6.71/4.72 tff(1648,plain,
% 6.71/4.72 (~(((~v129(constB48, bitIndex2)) <=> v127(constB47, bitIndex2)) | ((~v129(constB48, bitIndex1)) <=> v127(constB47, bitIndex1)) | ((~v129(constB48, bitIndex0)) <=> v127(constB47, bitIndex0)))),
% 6.71/4.72 inference(unit_resolution,[status(thm)],[1647, 1644, 517])).
% 6.71/4.72 tff(1649,plain,
% 6.71/4.72 ((((~v129(constB48, bitIndex2)) <=> v127(constB47, bitIndex2)) | ((~v129(constB48, bitIndex1)) <=> v127(constB47, bitIndex1)) | ((~v129(constB48, bitIndex0)) <=> v127(constB47, bitIndex0))) | (~((~v129(constB48, bitIndex2)) <=> v127(constB47, bitIndex2)))),
% 6.71/4.72 inference(tautology,[status(thm)],[])).
% 6.71/4.72 tff(1650,plain,
% 6.71/4.72 (~((~v129(constB48, bitIndex2)) <=> v127(constB47, bitIndex2))),
% 6.71/4.72 inference(unit_resolution,[status(thm)],[1649, 1648])).
% 6.71/4.72 tff(1651,plain,
% 6.71/4.72 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB47) <=> v26(constB47))),
% 6.71/4.72 inference(quant_inst,[status(thm)],[])).
% 6.71/4.72 tff(1652,plain,
% 6.71/4.72 (v111(constB47) <=> v26(constB47)),
% 6.71/4.72 inference(unit_resolution,[status(thm)],[1651, 536])).
% 6.71/4.72 tff(1653,plain,
% 6.71/4.72 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB47))),
% 6.71/4.72 inference(quant_inst,[status(thm)],[])).
% 6.71/4.72 tff(1654,plain,
% 6.71/4.72 (~v26(constB47)),
% 6.71/4.72 inference(unit_resolution,[status(thm)],[1653, 548])).
% 6.71/4.72 tff(1655,plain,
% 6.71/4.72 ((~(v111(constB47) <=> v26(constB47))) | (~v111(constB47)) | v26(constB47)),
% 6.71/4.72 inference(tautology,[status(thm)],[])).
% 6.71/4.72 tff(1656,plain,
% 6.71/4.72 ((~(v111(constB47) <=> v26(constB47))) | (~v111(constB47))),
% 6.71/4.72 inference(unit_resolution,[status(thm)],[1655, 1654])).
% 6.71/4.72 tff(1657,plain,
% 6.71/4.72 (~v111(constB47)),
% 6.71/4.72 inference(unit_resolution,[status(thm)],[1656, 1652])).
% 6.71/4.72 tff(1658,plain,
% 6.71/4.72 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB47) | (~(((~v127(constB47, bitIndex2)) <=> v130(constB47, bitIndex2)) | ((~v127(constB47, bitIndex1)) <=> v130(constB47, bitIndex1)) | ((~v127(constB47, bitIndex0)) <=> v130(constB47, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB47) | (~(((~v127(constB47, bitIndex2)) <=> v130(constB47, bitIndex2)) | ((~v127(constB47, bitIndex1)) <=> v130(constB47, bitIndex1)) | ((~v127(constB47, bitIndex0)) <=> v130(constB47, bitIndex0)))))),
% 6.71/4.72 inference(rewrite,[status(thm)],[])).
% 6.71/4.72 tff(1659,plain,
% 6.71/4.72 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB47) | (~(((~v127(constB47, bitIndex2)) <=> v130(constB47, bitIndex2)) | ((~v127(constB47, bitIndex1)) <=> v130(constB47, bitIndex1)) | ((~v127(constB47, bitIndex0)) <=> v130(constB47, bitIndex0)))))),
% 6.71/4.72 inference(quant_inst,[status(thm)],[])).
% 6.71/4.72 tff(1660,plain,
% 6.71/4.72 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB47) | (~(((~v127(constB47, bitIndex2)) <=> v130(constB47, bitIndex2)) | ((~v127(constB47, bitIndex1)) <=> v130(constB47, bitIndex1)) | ((~v127(constB47, bitIndex0)) <=> v130(constB47, bitIndex0))))),
% 6.71/4.72 inference(modus_ponens,[status(thm)],[1659, 1658])).
% 6.71/4.72 tff(1661,plain,
% 6.71/4.72 (v111(constB47) | (~(((~v127(constB47, bitIndex2)) <=> v130(constB47, bitIndex2)) | ((~v127(constB47, bitIndex1)) <=> v130(constB47, bitIndex1)) | ((~v127(constB47, bitIndex0)) <=> v130(constB47, bitIndex0))))),
% 6.71/4.72 inference(unit_resolution,[status(thm)],[1660, 566])).
% 6.71/4.72 tff(1662,plain,
% 6.71/4.72 (~(((~v127(constB47, bitIndex2)) <=> v130(constB47, bitIndex2)) | ((~v127(constB47, bitIndex1)) <=> v130(constB47, bitIndex1)) | ((~v127(constB47, bitIndex0)) <=> v130(constB47, bitIndex0)))),
% 6.71/4.72 inference(unit_resolution,[status(thm)],[1661, 1657])).
% 6.71/4.72 tff(1663,plain,
% 6.71/4.72 ((((~v127(constB47, bitIndex2)) <=> v130(constB47, bitIndex2)) | ((~v127(constB47, bitIndex1)) <=> v130(constB47, bitIndex1)) | ((~v127(constB47, bitIndex0)) <=> v130(constB47, bitIndex0))) | (~((~v127(constB47, bitIndex2)) <=> v130(constB47, bitIndex2)))),
% 6.71/4.72 inference(tautology,[status(thm)],[])).
% 6.71/4.72 tff(1664,plain,
% 6.71/4.72 (~((~v127(constB47, bitIndex2)) <=> v130(constB47, bitIndex2))),
% 6.71/4.72 inference(unit_resolution,[status(thm)],[1663, 1662])).
% 6.71/4.72 tff(1665,plain,
% 6.71/4.72 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB47) <=> (~(v90(constB47, bitIndex1) | v90(constB47, bitIndex2) | (~v90(constB47, bitIndex0)))))),
% 6.71/4.72 inference(quant_inst,[status(thm)],[])).
% 6.71/4.72 tff(1666,plain,
% 6.71/4.72 (v120(constB47) <=> (~(v90(constB47, bitIndex1) | v90(constB47, bitIndex2) | (~v90(constB47, bitIndex0))))),
% 6.71/4.72 inference(unit_resolution,[status(thm)],[1665, 665])).
% 6.71/4.72 tff(1667,plain,
% 6.71/4.72 (nextState(constB46, constB47) <=> nextState(constB46, constB47)),
% 6.71/4.72 inference(rewrite,[status(thm)],[])).
% 6.71/4.72 tff(1668,axiom,(nextState(constB46, constB47)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_46')).
% 6.71/4.72 tff(1669,plain,
% 6.71/4.72 (nextState(constB46, constB47)),
% 6.71/4.72 inference(modus_ponens,[status(thm)],[1668, 1667])).
% 6.71/4.72 tff(1670,plain,
% 6.71/4.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB46, constB47)) | (v100(constB47) <=> (~((~v101(constB47)) | (~v110(constB47))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB46, constB47)) | (v100(constB47) <=> (~((~v101(constB47)) | (~v110(constB47))))))),
% 6.71/4.72 inference(rewrite,[status(thm)],[])).
% 6.71/4.72 tff(1671,plain,
% 6.71/4.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB46, constB47)) | (v100(constB47) <=> (~((~v101(constB47)) | (~v110(constB47))))))),
% 6.71/4.72 inference(quant_inst,[status(thm)],[])).
% 6.71/4.72 tff(1672,plain,
% 6.71/4.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB46, constB47)) | (v100(constB47) <=> (~((~v101(constB47)) | (~v110(constB47)))))),
% 6.71/4.72 inference(modus_ponens,[status(thm)],[1671, 1670])).
% 6.71/4.72 tff(1673,plain,
% 6.71/4.72 (v100(constB47) <=> (~((~v101(constB47)) | (~v110(constB47))))),
% 6.71/4.72 inference(unit_resolution,[status(thm)],[1672, 1669, 445])).
% 6.71/4.72 tff(1674,plain,
% 6.71/4.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB46, constB47)) | (v101(constB47) <=> (~((~v1(constB47)) | (~v102(constB47))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB46, constB47)) | (v101(constB47) <=> (~((~v1(constB47)) | (~v102(constB47))))))),
% 6.71/4.72 inference(rewrite,[status(thm)],[])).
% 6.71/4.72 tff(1675,plain,
% 6.71/4.72 (((~nextState(constB46, constB47)) | (v101(constB47) <=> (~((~v102(constB47)) | (~v1(constB47)))))) <=> ((~nextState(constB46, constB47)) | (v101(constB47) <=> (~((~v1(constB47)) | (~v102(constB47))))))),
% 6.71/4.72 inference(rewrite,[status(thm)],[])).
% 6.71/4.72 tff(1676,plain,
% 6.71/4.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB46, constB47)) | (v101(constB47) <=> (~((~v102(constB47)) | (~v1(constB47))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB46, constB47)) | (v101(constB47) <=> (~((~v1(constB47)) | (~v102(constB47)))))))),
% 6.71/4.72 inference(monotonicity,[status(thm)],[1675])).
% 6.71/4.72 tff(1677,plain,
% 6.71/4.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB46, constB47)) | (v101(constB47) <=> (~((~v102(constB47)) | (~v1(constB47))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB46, constB47)) | (v101(constB47) <=> (~((~v1(constB47)) | (~v102(constB47))))))),
% 6.71/4.72 inference(transitivity,[status(thm)],[1676, 1674])).
% 6.71/4.72 tff(1678,plain,
% 6.71/4.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB46, constB47)) | (v101(constB47) <=> (~((~v102(constB47)) | (~v1(constB47))))))),
% 6.71/4.72 inference(quant_inst,[status(thm)],[])).
% 6.71/4.72 tff(1679,plain,
% 6.71/4.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB46, constB47)) | (v101(constB47) <=> (~((~v1(constB47)) | (~v102(constB47)))))),
% 6.71/4.72 inference(modus_ponens,[status(thm)],[1678, 1677])).
% 6.71/4.72 tff(1680,plain,
% 6.71/4.72 (v101(constB47) <=> (~((~v1(constB47)) | (~v102(constB47))))),
% 6.71/4.72 inference(unit_resolution,[status(thm)],[1679, 1669, 465])).
% 6.71/4.72 tff(1681,plain,
% 6.71/4.72 ((~v1(constB47)) <=> (~v1(constB47))),
% 6.71/4.72 inference(rewrite,[status(thm)],[])).
% 6.71/4.72 tff(1682,axiom,(~v1(constB47)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_47')).
% 6.71/4.72 tff(1683,plain,
% 6.71/4.72 (~v1(constB47)),
% 6.71/4.72 inference(modus_ponens,[status(thm)],[1682, 1681])).
% 6.71/4.72 tff(1684,plain,
% 6.71/4.72 (((~v1(constB47)) | (~v102(constB47))) | v1(constB47)),
% 6.71/4.72 inference(tautology,[status(thm)],[])).
% 6.71/4.72 tff(1685,plain,
% 6.71/4.72 ((~v1(constB47)) | (~v102(constB47))),
% 6.71/4.72 inference(unit_resolution,[status(thm)],[1684, 1683])).
% 6.71/4.72 tff(1686,plain,
% 6.71/4.72 ((~(v101(constB47) <=> (~((~v1(constB47)) | (~v102(constB47)))))) | (~v101(constB47)) | (~((~v1(constB47)) | (~v102(constB47))))),
% 6.71/4.72 inference(tautology,[status(thm)],[])).
% 6.71/4.72 tff(1687,plain,
% 6.71/4.72 ((~(v101(constB47) <=> (~((~v1(constB47)) | (~v102(constB47)))))) | (~v101(constB47))),
% 6.71/4.72 inference(unit_resolution,[status(thm)],[1686, 1685])).
% 6.71/4.72 tff(1688,plain,
% 6.71/4.72 (~v101(constB47)),
% 6.71/4.72 inference(unit_resolution,[status(thm)],[1687, 1680])).
% 6.71/4.72 tff(1689,plain,
% 6.71/4.72 (((~v101(constB47)) | (~v110(constB47))) | v101(constB47)),
% 6.71/4.72 inference(tautology,[status(thm)],[])).
% 6.71/4.72 tff(1690,plain,
% 6.71/4.72 ((~v101(constB47)) | (~v110(constB47))),
% 6.71/4.72 inference(unit_resolution,[status(thm)],[1689, 1688])).
% 6.71/4.72 tff(1691,plain,
% 6.71/4.72 ((~(v100(constB47) <=> (~((~v101(constB47)) | (~v110(constB47)))))) | (~v100(constB47)) | (~((~v101(constB47)) | (~v110(constB47))))),
% 6.71/4.72 inference(tautology,[status(thm)],[])).
% 6.71/4.72 tff(1692,plain,
% 6.71/4.72 (~v100(constB47)),
% 6.71/4.72 inference(unit_resolution,[status(thm)],[1691, 1690, 1673])).
% 6.71/4.72 tff(1693,plain,
% 6.71/4.72 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB47) | (~nextState(constB46, constB47)) | (~(((~v90(constB47, bitIndex1)) <=> v90(constB46, bitIndex1)) | ((~v90(constB47, bitIndex2)) <=> v90(constB46, bitIndex2)) | ((~v90(constB47, bitIndex0)) <=> v90(constB46, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB47) | (~nextState(constB46, constB47)) | (~(((~v90(constB47, bitIndex1)) <=> v90(constB46, bitIndex1)) | ((~v90(constB47, bitIndex2)) <=> v90(constB46, bitIndex2)) | ((~v90(constB47, bitIndex0)) <=> v90(constB46, bitIndex0)))))),
% 6.71/4.72 inference(rewrite,[status(thm)],[])).
% 6.71/4.72 tff(1694,plain,
% 6.71/4.72 ((v100(constB47) | (~nextState(constB46, constB47)) | (~(((~v90(constB47, bitIndex2)) <=> v90(constB46, bitIndex2)) | ((~v90(constB47, bitIndex1)) <=> v90(constB46, bitIndex1)) | ((~v90(constB47, bitIndex0)) <=> v90(constB46, bitIndex0))))) <=> (v100(constB47) | (~nextState(constB46, constB47)) | (~(((~v90(constB47, bitIndex1)) <=> v90(constB46, bitIndex1)) | ((~v90(constB47, bitIndex2)) <=> v90(constB46, bitIndex2)) | ((~v90(constB47, bitIndex0)) <=> v90(constB46, bitIndex0)))))),
% 6.71/4.72 inference(rewrite,[status(thm)],[])).
% 6.71/4.72 tff(1695,plain,
% 6.71/4.72 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB47) | (~nextState(constB46, constB47)) | (~(((~v90(constB47, bitIndex2)) <=> v90(constB46, bitIndex2)) | ((~v90(constB47, bitIndex1)) <=> v90(constB46, bitIndex1)) | ((~v90(constB47, bitIndex0)) <=> v90(constB46, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB47) | (~nextState(constB46, constB47)) | (~(((~v90(constB47, bitIndex1)) <=> v90(constB46, bitIndex1)) | ((~v90(constB47, bitIndex2)) <=> v90(constB46, bitIndex2)) | ((~v90(constB47, bitIndex0)) <=> v90(constB46, bitIndex0))))))),
% 6.81/4.72 inference(monotonicity,[status(thm)],[1694])).
% 6.81/4.72 tff(1696,plain,
% 6.81/4.72 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB47) | (~nextState(constB46, constB47)) | (~(((~v90(constB47, bitIndex2)) <=> v90(constB46, bitIndex2)) | ((~v90(constB47, bitIndex1)) <=> v90(constB46, bitIndex1)) | ((~v90(constB47, bitIndex0)) <=> v90(constB46, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB47) | (~nextState(constB46, constB47)) | (~(((~v90(constB47, bitIndex1)) <=> v90(constB46, bitIndex1)) | ((~v90(constB47, bitIndex2)) <=> v90(constB46, bitIndex2)) | ((~v90(constB47, bitIndex0)) <=> v90(constB46, bitIndex0)))))),
% 6.81/4.72 inference(transitivity,[status(thm)],[1695, 1693])).
% 6.81/4.72 tff(1697,plain,
% 6.81/4.72 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB47) | (~nextState(constB46, constB47)) | (~(((~v90(constB47, bitIndex2)) <=> v90(constB46, bitIndex2)) | ((~v90(constB47, bitIndex1)) <=> v90(constB46, bitIndex1)) | ((~v90(constB47, bitIndex0)) <=> v90(constB46, bitIndex0)))))),
% 6.81/4.72 inference(quant_inst,[status(thm)],[])).
% 6.81/4.72 tff(1698,plain,
% 6.81/4.72 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB47) | (~nextState(constB46, constB47)) | (~(((~v90(constB47, bitIndex1)) <=> v90(constB46, bitIndex1)) | ((~v90(constB47, bitIndex2)) <=> v90(constB46, bitIndex2)) | ((~v90(constB47, bitIndex0)) <=> v90(constB46, bitIndex0))))),
% 6.81/4.72 inference(modus_ponens,[status(thm)],[1697, 1696])).
% 6.81/4.72 tff(1699,plain,
% 6.81/4.72 (v100(constB47) | (~(((~v90(constB47, bitIndex1)) <=> v90(constB46, bitIndex1)) | ((~v90(constB47, bitIndex2)) <=> v90(constB46, bitIndex2)) | ((~v90(constB47, bitIndex0)) <=> v90(constB46, bitIndex0))))),
% 6.81/4.72 inference(unit_resolution,[status(thm)],[1698, 1669, 494])).
% 6.81/4.72 tff(1700,plain,
% 6.81/4.72 (~(((~v90(constB47, bitIndex1)) <=> v90(constB46, bitIndex1)) | ((~v90(constB47, bitIndex2)) <=> v90(constB46, bitIndex2)) | ((~v90(constB47, bitIndex0)) <=> v90(constB46, bitIndex0)))),
% 6.81/4.72 inference(unit_resolution,[status(thm)],[1699, 1692])).
% 6.81/4.72 tff(1701,plain,
% 6.81/4.72 ((((~v90(constB47, bitIndex1)) <=> v90(constB46, bitIndex1)) | ((~v90(constB47, bitIndex2)) <=> v90(constB46, bitIndex2)) | ((~v90(constB47, bitIndex0)) <=> v90(constB46, bitIndex0))) | (~((~v90(constB47, bitIndex2)) <=> v90(constB46, bitIndex2)))),
% 6.81/4.72 inference(tautology,[status(thm)],[])).
% 6.81/4.72 tff(1702,plain,
% 6.81/4.72 (~((~v90(constB47, bitIndex2)) <=> v90(constB46, bitIndex2))),
% 6.81/4.72 inference(unit_resolution,[status(thm)],[1701, 1700])).
% 6.81/4.72 tff(1703,plain,
% 6.81/4.72 (nextState(constB45, constB46) <=> nextState(constB45, constB46)),
% 6.81/4.72 inference(rewrite,[status(thm)],[])).
% 6.81/4.72 tff(1704,axiom,(nextState(constB45, constB46)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_45')).
% 6.81/4.72 tff(1705,plain,
% 6.81/4.72 (nextState(constB45, constB46)),
% 6.81/4.72 inference(modus_ponens,[status(thm)],[1704, 1703])).
% 6.81/4.72 tff(1706,plain,
% 6.81/4.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB45, constB46)) | (~(((~v129(constB46, bitIndex2)) <=> v127(constB45, bitIndex2)) | ((~v129(constB46, bitIndex1)) <=> v127(constB45, bitIndex1)) | ((~v129(constB46, bitIndex0)) <=> v127(constB45, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB45, constB46)) | (~(((~v129(constB46, bitIndex2)) <=> v127(constB45, bitIndex2)) | ((~v129(constB46, bitIndex1)) <=> v127(constB45, bitIndex1)) | ((~v129(constB46, bitIndex0)) <=> v127(constB45, bitIndex0)))))),
% 6.81/4.73 inference(rewrite,[status(thm)],[])).
% 6.81/4.73 tff(1707,plain,
% 6.81/4.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB45, constB46)) | (~(((~v129(constB46, bitIndex2)) <=> v127(constB45, bitIndex2)) | ((~v129(constB46, bitIndex1)) <=> v127(constB45, bitIndex1)) | ((~v129(constB46, bitIndex0)) <=> v127(constB45, bitIndex0)))))),
% 6.81/4.73 inference(quant_inst,[status(thm)],[])).
% 6.81/4.73 tff(1708,plain,
% 6.81/4.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB45, constB46)) | (~(((~v129(constB46, bitIndex2)) <=> v127(constB45, bitIndex2)) | ((~v129(constB46, bitIndex1)) <=> v127(constB45, bitIndex1)) | ((~v129(constB46, bitIndex0)) <=> v127(constB45, bitIndex0))))),
% 6.81/4.73 inference(modus_ponens,[status(thm)],[1707, 1706])).
% 6.81/4.73 tff(1709,plain,
% 6.81/4.73 (~(((~v129(constB46, bitIndex2)) <=> v127(constB45, bitIndex2)) | ((~v129(constB46, bitIndex1)) <=> v127(constB45, bitIndex1)) | ((~v129(constB46, bitIndex0)) <=> v127(constB45, bitIndex0)))),
% 6.81/4.73 inference(unit_resolution,[status(thm)],[1708, 1705, 517])).
% 6.81/4.73 tff(1710,plain,
% 6.81/4.73 ((((~v129(constB46, bitIndex2)) <=> v127(constB45, bitIndex2)) | ((~v129(constB46, bitIndex1)) <=> v127(constB45, bitIndex1)) | ((~v129(constB46, bitIndex0)) <=> v127(constB45, bitIndex0))) | (~((~v129(constB46, bitIndex2)) <=> v127(constB45, bitIndex2)))),
% 6.81/4.73 inference(tautology,[status(thm)],[])).
% 6.81/4.73 tff(1711,plain,
% 6.81/4.73 (~((~v129(constB46, bitIndex2)) <=> v127(constB45, bitIndex2))),
% 6.81/4.73 inference(unit_resolution,[status(thm)],[1710, 1709])).
% 6.81/4.73 tff(1712,plain,
% 6.81/4.73 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB45) <=> v26(constB45))),
% 6.81/4.73 inference(quant_inst,[status(thm)],[])).
% 6.81/4.73 tff(1713,plain,
% 6.81/4.73 (v111(constB45) <=> v26(constB45)),
% 6.81/4.73 inference(unit_resolution,[status(thm)],[1712, 536])).
% 6.81/4.73 tff(1714,plain,
% 6.81/4.73 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB45))),
% 6.81/4.73 inference(quant_inst,[status(thm)],[])).
% 6.81/4.73 tff(1715,plain,
% 6.81/4.73 (~v26(constB45)),
% 6.81/4.73 inference(unit_resolution,[status(thm)],[1714, 548])).
% 6.81/4.73 tff(1716,plain,
% 6.81/4.73 ((~(v111(constB45) <=> v26(constB45))) | (~v111(constB45)) | v26(constB45)),
% 6.81/4.73 inference(tautology,[status(thm)],[])).
% 6.81/4.73 tff(1717,plain,
% 6.81/4.73 ((~(v111(constB45) <=> v26(constB45))) | (~v111(constB45))),
% 6.81/4.73 inference(unit_resolution,[status(thm)],[1716, 1715])).
% 6.81/4.73 tff(1718,plain,
% 6.81/4.73 (~v111(constB45)),
% 6.81/4.73 inference(unit_resolution,[status(thm)],[1717, 1713])).
% 6.81/4.73 tff(1719,plain,
% 6.81/4.73 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB45) | (~(((~v127(constB45, bitIndex2)) <=> v130(constB45, bitIndex2)) | ((~v127(constB45, bitIndex1)) <=> v130(constB45, bitIndex1)) | ((~v127(constB45, bitIndex0)) <=> v130(constB45, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB45) | (~(((~v127(constB45, bitIndex2)) <=> v130(constB45, bitIndex2)) | ((~v127(constB45, bitIndex1)) <=> v130(constB45, bitIndex1)) | ((~v127(constB45, bitIndex0)) <=> v130(constB45, bitIndex0)))))),
% 6.81/4.73 inference(rewrite,[status(thm)],[])).
% 6.81/4.73 tff(1720,plain,
% 6.81/4.73 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB45) | (~(((~v127(constB45, bitIndex2)) <=> v130(constB45, bitIndex2)) | ((~v127(constB45, bitIndex1)) <=> v130(constB45, bitIndex1)) | ((~v127(constB45, bitIndex0)) <=> v130(constB45, bitIndex0)))))),
% 6.81/4.73 inference(quant_inst,[status(thm)],[])).
% 6.81/4.73 tff(1721,plain,
% 6.81/4.73 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB45) | (~(((~v127(constB45, bitIndex2)) <=> v130(constB45, bitIndex2)) | ((~v127(constB45, bitIndex1)) <=> v130(constB45, bitIndex1)) | ((~v127(constB45, bitIndex0)) <=> v130(constB45, bitIndex0))))),
% 6.81/4.73 inference(modus_ponens,[status(thm)],[1720, 1719])).
% 6.81/4.73 tff(1722,plain,
% 6.81/4.73 (v111(constB45) | (~(((~v127(constB45, bitIndex2)) <=> v130(constB45, bitIndex2)) | ((~v127(constB45, bitIndex1)) <=> v130(constB45, bitIndex1)) | ((~v127(constB45, bitIndex0)) <=> v130(constB45, bitIndex0))))),
% 6.81/4.73 inference(unit_resolution,[status(thm)],[1721, 566])).
% 6.81/4.73 tff(1723,plain,
% 6.81/4.73 (~(((~v127(constB45, bitIndex2)) <=> v130(constB45, bitIndex2)) | ((~v127(constB45, bitIndex1)) <=> v130(constB45, bitIndex1)) | ((~v127(constB45, bitIndex0)) <=> v130(constB45, bitIndex0)))),
% 6.81/4.73 inference(unit_resolution,[status(thm)],[1722, 1718])).
% 6.81/4.73 tff(1724,plain,
% 6.81/4.73 ((((~v127(constB45, bitIndex2)) <=> v130(constB45, bitIndex2)) | ((~v127(constB45, bitIndex1)) <=> v130(constB45, bitIndex1)) | ((~v127(constB45, bitIndex0)) <=> v130(constB45, bitIndex0))) | (~((~v127(constB45, bitIndex2)) <=> v130(constB45, bitIndex2)))),
% 6.81/4.73 inference(tautology,[status(thm)],[])).
% 6.81/4.73 tff(1725,plain,
% 6.81/4.73 (~((~v127(constB45, bitIndex2)) <=> v130(constB45, bitIndex2))),
% 6.81/4.73 inference(unit_resolution,[status(thm)],[1724, 1723])).
% 6.81/4.73 tff(1726,plain,
% 6.81/4.73 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB45) <=> (~(v90(constB45, bitIndex0) | v90(constB45, bitIndex1) | v90(constB45, bitIndex2))))),
% 6.81/4.73 inference(quant_inst,[status(thm)],[])).
% 6.81/4.73 tff(1727,plain,
% 6.81/4.73 (v119(constB45) <=> (~(v90(constB45, bitIndex0) | v90(constB45, bitIndex1) | v90(constB45, bitIndex2)))),
% 6.81/4.73 inference(unit_resolution,[status(thm)],[1726, 1085])).
% 6.81/4.73 tff(1728,plain,
% 6.81/4.73 (nextState(constB44, constB45) <=> nextState(constB44, constB45)),
% 6.81/4.73 inference(rewrite,[status(thm)],[])).
% 6.81/4.73 tff(1729,axiom,(nextState(constB44, constB45)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_44')).
% 6.81/4.73 tff(1730,plain,
% 6.81/4.73 (nextState(constB44, constB45)),
% 6.81/4.73 inference(modus_ponens,[status(thm)],[1729, 1728])).
% 6.81/4.73 tff(1731,plain,
% 6.81/4.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB44, constB45)) | (v100(constB45) <=> (~((~v101(constB45)) | (~v110(constB45))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB44, constB45)) | (v100(constB45) <=> (~((~v101(constB45)) | (~v110(constB45))))))),
% 6.81/4.73 inference(rewrite,[status(thm)],[])).
% 6.81/4.73 tff(1732,plain,
% 6.81/4.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB44, constB45)) | (v100(constB45) <=> (~((~v101(constB45)) | (~v110(constB45))))))),
% 6.81/4.73 inference(quant_inst,[status(thm)],[])).
% 6.81/4.73 tff(1733,plain,
% 6.81/4.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB44, constB45)) | (v100(constB45) <=> (~((~v101(constB45)) | (~v110(constB45)))))),
% 6.81/4.73 inference(modus_ponens,[status(thm)],[1732, 1731])).
% 6.81/4.73 tff(1734,plain,
% 6.81/4.73 (v100(constB45) <=> (~((~v101(constB45)) | (~v110(constB45))))),
% 6.81/4.73 inference(unit_resolution,[status(thm)],[1733, 1730, 445])).
% 6.81/4.73 tff(1735,plain,
% 6.81/4.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB44, constB45)) | (v101(constB45) <=> (~((~v1(constB45)) | (~v102(constB45))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB44, constB45)) | (v101(constB45) <=> (~((~v1(constB45)) | (~v102(constB45))))))),
% 6.81/4.73 inference(rewrite,[status(thm)],[])).
% 6.81/4.73 tff(1736,plain,
% 6.81/4.73 (((~nextState(constB44, constB45)) | (v101(constB45) <=> (~((~v102(constB45)) | (~v1(constB45)))))) <=> ((~nextState(constB44, constB45)) | (v101(constB45) <=> (~((~v1(constB45)) | (~v102(constB45))))))),
% 6.81/4.73 inference(rewrite,[status(thm)],[])).
% 6.81/4.73 tff(1737,plain,
% 6.81/4.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB44, constB45)) | (v101(constB45) <=> (~((~v102(constB45)) | (~v1(constB45))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB44, constB45)) | (v101(constB45) <=> (~((~v1(constB45)) | (~v102(constB45)))))))),
% 6.81/4.73 inference(monotonicity,[status(thm)],[1736])).
% 6.81/4.73 tff(1738,plain,
% 6.81/4.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB44, constB45)) | (v101(constB45) <=> (~((~v102(constB45)) | (~v1(constB45))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB44, constB45)) | (v101(constB45) <=> (~((~v1(constB45)) | (~v102(constB45))))))),
% 6.81/4.73 inference(transitivity,[status(thm)],[1737, 1735])).
% 6.81/4.73 tff(1739,plain,
% 6.81/4.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB44, constB45)) | (v101(constB45) <=> (~((~v102(constB45)) | (~v1(constB45))))))),
% 6.81/4.73 inference(quant_inst,[status(thm)],[])).
% 6.81/4.73 tff(1740,plain,
% 6.81/4.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB44, constB45)) | (v101(constB45) <=> (~((~v1(constB45)) | (~v102(constB45)))))),
% 6.81/4.73 inference(modus_ponens,[status(thm)],[1739, 1738])).
% 6.81/4.73 tff(1741,plain,
% 6.81/4.73 (v101(constB45) <=> (~((~v1(constB45)) | (~v102(constB45))))),
% 6.81/4.73 inference(unit_resolution,[status(thm)],[1740, 1730, 465])).
% 6.81/4.73 tff(1742,plain,
% 6.81/4.73 ((~v1(constB45)) <=> (~v1(constB45))),
% 6.81/4.73 inference(rewrite,[status(thm)],[])).
% 6.81/4.73 tff(1743,axiom,(~v1(constB45)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_45')).
% 6.81/4.73 tff(1744,plain,
% 6.81/4.73 (~v1(constB45)),
% 6.81/4.73 inference(modus_ponens,[status(thm)],[1743, 1742])).
% 6.81/4.73 tff(1745,plain,
% 6.81/4.73 (((~v1(constB45)) | (~v102(constB45))) | v1(constB45)),
% 6.81/4.73 inference(tautology,[status(thm)],[])).
% 6.81/4.73 tff(1746,plain,
% 6.81/4.73 ((~v1(constB45)) | (~v102(constB45))),
% 6.81/4.73 inference(unit_resolution,[status(thm)],[1745, 1744])).
% 6.81/4.73 tff(1747,plain,
% 6.81/4.73 ((~(v101(constB45) <=> (~((~v1(constB45)) | (~v102(constB45)))))) | (~v101(constB45)) | (~((~v1(constB45)) | (~v102(constB45))))),
% 6.81/4.73 inference(tautology,[status(thm)],[])).
% 6.81/4.73 tff(1748,plain,
% 6.81/4.73 ((~(v101(constB45) <=> (~((~v1(constB45)) | (~v102(constB45)))))) | (~v101(constB45))),
% 6.81/4.73 inference(unit_resolution,[status(thm)],[1747, 1746])).
% 6.81/4.73 tff(1749,plain,
% 6.81/4.73 (~v101(constB45)),
% 6.81/4.73 inference(unit_resolution,[status(thm)],[1748, 1741])).
% 6.81/4.73 tff(1750,plain,
% 6.81/4.73 (((~v101(constB45)) | (~v110(constB45))) | v101(constB45)),
% 6.81/4.73 inference(tautology,[status(thm)],[])).
% 6.81/4.73 tff(1751,plain,
% 6.81/4.73 ((~v101(constB45)) | (~v110(constB45))),
% 6.81/4.73 inference(unit_resolution,[status(thm)],[1750, 1749])).
% 6.81/4.73 tff(1752,plain,
% 6.81/4.73 ((~(v100(constB45) <=> (~((~v101(constB45)) | (~v110(constB45)))))) | (~v100(constB45)) | (~((~v101(constB45)) | (~v110(constB45))))),
% 6.81/4.73 inference(tautology,[status(thm)],[])).
% 6.81/4.73 tff(1753,plain,
% 6.81/4.73 (~v100(constB45)),
% 6.81/4.73 inference(unit_resolution,[status(thm)],[1752, 1751, 1734])).
% 6.81/4.73 tff(1754,plain,
% 6.81/4.73 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB45) | (~nextState(constB44, constB45)) | (~(((~v90(constB45, bitIndex1)) <=> v90(constB44, bitIndex1)) | ((~v90(constB45, bitIndex2)) <=> v90(constB44, bitIndex2)) | ((~v90(constB45, bitIndex0)) <=> v90(constB44, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB45) | (~nextState(constB44, constB45)) | (~(((~v90(constB45, bitIndex1)) <=> v90(constB44, bitIndex1)) | ((~v90(constB45, bitIndex2)) <=> v90(constB44, bitIndex2)) | ((~v90(constB45, bitIndex0)) <=> v90(constB44, bitIndex0)))))),
% 6.81/4.73 inference(rewrite,[status(thm)],[])).
% 6.81/4.73 tff(1755,plain,
% 6.81/4.73 ((v100(constB45) | (~nextState(constB44, constB45)) | (~(((~v90(constB45, bitIndex2)) <=> v90(constB44, bitIndex2)) | ((~v90(constB45, bitIndex1)) <=> v90(constB44, bitIndex1)) | ((~v90(constB45, bitIndex0)) <=> v90(constB44, bitIndex0))))) <=> (v100(constB45) | (~nextState(constB44, constB45)) | (~(((~v90(constB45, bitIndex1)) <=> v90(constB44, bitIndex1)) | ((~v90(constB45, bitIndex2)) <=> v90(constB44, bitIndex2)) | ((~v90(constB45, bitIndex0)) <=> v90(constB44, bitIndex0)))))),
% 6.81/4.73 inference(rewrite,[status(thm)],[])).
% 6.81/4.73 tff(1756,plain,
% 6.81/4.73 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB45) | (~nextState(constB44, constB45)) | (~(((~v90(constB45, bitIndex2)) <=> v90(constB44, bitIndex2)) | ((~v90(constB45, bitIndex1)) <=> v90(constB44, bitIndex1)) | ((~v90(constB45, bitIndex0)) <=> v90(constB44, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB45) | (~nextState(constB44, constB45)) | (~(((~v90(constB45, bitIndex1)) <=> v90(constB44, bitIndex1)) | ((~v90(constB45, bitIndex2)) <=> v90(constB44, bitIndex2)) | ((~v90(constB45, bitIndex0)) <=> v90(constB44, bitIndex0))))))),
% 6.81/4.73 inference(monotonicity,[status(thm)],[1755])).
% 6.81/4.73 tff(1757,plain,
% 6.81/4.73 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB45) | (~nextState(constB44, constB45)) | (~(((~v90(constB45, bitIndex2)) <=> v90(constB44, bitIndex2)) | ((~v90(constB45, bitIndex1)) <=> v90(constB44, bitIndex1)) | ((~v90(constB45, bitIndex0)) <=> v90(constB44, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB45) | (~nextState(constB44, constB45)) | (~(((~v90(constB45, bitIndex1)) <=> v90(constB44, bitIndex1)) | ((~v90(constB45, bitIndex2)) <=> v90(constB44, bitIndex2)) | ((~v90(constB45, bitIndex0)) <=> v90(constB44, bitIndex0)))))),
% 6.81/4.73 inference(transitivity,[status(thm)],[1756, 1754])).
% 6.81/4.73 tff(1758,plain,
% 6.81/4.73 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB45) | (~nextState(constB44, constB45)) | (~(((~v90(constB45, bitIndex2)) <=> v90(constB44, bitIndex2)) | ((~v90(constB45, bitIndex1)) <=> v90(constB44, bitIndex1)) | ((~v90(constB45, bitIndex0)) <=> v90(constB44, bitIndex0)))))),
% 6.81/4.73 inference(quant_inst,[status(thm)],[])).
% 6.81/4.73 tff(1759,plain,
% 6.81/4.73 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB45) | (~nextState(constB44, constB45)) | (~(((~v90(constB45, bitIndex1)) <=> v90(constB44, bitIndex1)) | ((~v90(constB45, bitIndex2)) <=> v90(constB44, bitIndex2)) | ((~v90(constB45, bitIndex0)) <=> v90(constB44, bitIndex0))))),
% 6.81/4.73 inference(modus_ponens,[status(thm)],[1758, 1757])).
% 6.81/4.73 tff(1760,plain,
% 6.81/4.73 (v100(constB45) | (~(((~v90(constB45, bitIndex1)) <=> v90(constB44, bitIndex1)) | ((~v90(constB45, bitIndex2)) <=> v90(constB44, bitIndex2)) | ((~v90(constB45, bitIndex0)) <=> v90(constB44, bitIndex0))))),
% 6.81/4.73 inference(unit_resolution,[status(thm)],[1759, 1730, 494])).
% 6.81/4.73 tff(1761,plain,
% 6.81/4.73 (~(((~v90(constB45, bitIndex1)) <=> v90(constB44, bitIndex1)) | ((~v90(constB45, bitIndex2)) <=> v90(constB44, bitIndex2)) | ((~v90(constB45, bitIndex0)) <=> v90(constB44, bitIndex0)))),
% 6.81/4.73 inference(unit_resolution,[status(thm)],[1760, 1753])).
% 6.81/4.73 tff(1762,plain,
% 6.81/4.73 ((((~v90(constB45, bitIndex1)) <=> v90(constB44, bitIndex1)) | ((~v90(constB45, bitIndex2)) <=> v90(constB44, bitIndex2)) | ((~v90(constB45, bitIndex0)) <=> v90(constB44, bitIndex0))) | (~((~v90(constB45, bitIndex2)) <=> v90(constB44, bitIndex2)))),
% 6.81/4.73 inference(tautology,[status(thm)],[])).
% 6.81/4.73 tff(1763,plain,
% 6.81/4.73 (~((~v90(constB45, bitIndex2)) <=> v90(constB44, bitIndex2))),
% 6.81/4.73 inference(unit_resolution,[status(thm)],[1762, 1761])).
% 6.81/4.73 tff(1764,plain,
% 6.81/4.73 (nextState(constB43, constB44) <=> nextState(constB43, constB44)),
% 6.81/4.73 inference(rewrite,[status(thm)],[])).
% 6.81/4.73 tff(1765,axiom,(nextState(constB43, constB44)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_43')).
% 6.81/4.73 tff(1766,plain,
% 6.81/4.73 (nextState(constB43, constB44)),
% 6.81/4.73 inference(modus_ponens,[status(thm)],[1765, 1764])).
% 6.81/4.73 tff(1767,plain,
% 6.81/4.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB43, constB44)) | (~(((~v129(constB44, bitIndex2)) <=> v127(constB43, bitIndex2)) | ((~v129(constB44, bitIndex1)) <=> v127(constB43, bitIndex1)) | ((~v129(constB44, bitIndex0)) <=> v127(constB43, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB43, constB44)) | (~(((~v129(constB44, bitIndex2)) <=> v127(constB43, bitIndex2)) | ((~v129(constB44, bitIndex1)) <=> v127(constB43, bitIndex1)) | ((~v129(constB44, bitIndex0)) <=> v127(constB43, bitIndex0)))))),
% 6.81/4.73 inference(rewrite,[status(thm)],[])).
% 6.81/4.73 tff(1768,plain,
% 6.81/4.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB43, constB44)) | (~(((~v129(constB44, bitIndex2)) <=> v127(constB43, bitIndex2)) | ((~v129(constB44, bitIndex1)) <=> v127(constB43, bitIndex1)) | ((~v129(constB44, bitIndex0)) <=> v127(constB43, bitIndex0)))))),
% 6.81/4.73 inference(quant_inst,[status(thm)],[])).
% 6.81/4.73 tff(1769,plain,
% 6.81/4.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB43, constB44)) | (~(((~v129(constB44, bitIndex2)) <=> v127(constB43, bitIndex2)) | ((~v129(constB44, bitIndex1)) <=> v127(constB43, bitIndex1)) | ((~v129(constB44, bitIndex0)) <=> v127(constB43, bitIndex0))))),
% 6.81/4.73 inference(modus_ponens,[status(thm)],[1768, 1767])).
% 6.81/4.73 tff(1770,plain,
% 6.81/4.73 (~(((~v129(constB44, bitIndex2)) <=> v127(constB43, bitIndex2)) | ((~v129(constB44, bitIndex1)) <=> v127(constB43, bitIndex1)) | ((~v129(constB44, bitIndex0)) <=> v127(constB43, bitIndex0)))),
% 6.81/4.73 inference(unit_resolution,[status(thm)],[1769, 1766, 517])).
% 6.81/4.73 tff(1771,plain,
% 6.81/4.73 ((((~v129(constB44, bitIndex2)) <=> v127(constB43, bitIndex2)) | ((~v129(constB44, bitIndex1)) <=> v127(constB43, bitIndex1)) | ((~v129(constB44, bitIndex0)) <=> v127(constB43, bitIndex0))) | (~((~v129(constB44, bitIndex2)) <=> v127(constB43, bitIndex2)))),
% 6.81/4.73 inference(tautology,[status(thm)],[])).
% 6.81/4.73 tff(1772,plain,
% 6.81/4.73 (~((~v129(constB44, bitIndex2)) <=> v127(constB43, bitIndex2))),
% 6.81/4.73 inference(unit_resolution,[status(thm)],[1771, 1770])).
% 6.81/4.73 tff(1773,plain,
% 6.81/4.73 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB43) <=> v26(constB43))),
% 6.81/4.73 inference(quant_inst,[status(thm)],[])).
% 6.81/4.73 tff(1774,plain,
% 6.81/4.73 (v111(constB43) <=> v26(constB43)),
% 6.81/4.73 inference(unit_resolution,[status(thm)],[1773, 536])).
% 6.81/4.73 tff(1775,plain,
% 6.81/4.73 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB43))),
% 6.81/4.73 inference(quant_inst,[status(thm)],[])).
% 6.81/4.73 tff(1776,plain,
% 6.81/4.73 (~v26(constB43)),
% 6.81/4.73 inference(unit_resolution,[status(thm)],[1775, 548])).
% 6.81/4.73 tff(1777,plain,
% 6.81/4.73 ((~(v111(constB43) <=> v26(constB43))) | (~v111(constB43)) | v26(constB43)),
% 6.81/4.73 inference(tautology,[status(thm)],[])).
% 6.81/4.73 tff(1778,plain,
% 6.81/4.73 ((~(v111(constB43) <=> v26(constB43))) | (~v111(constB43))),
% 6.81/4.73 inference(unit_resolution,[status(thm)],[1777, 1776])).
% 6.81/4.73 tff(1779,plain,
% 6.81/4.73 (~v111(constB43)),
% 6.81/4.73 inference(unit_resolution,[status(thm)],[1778, 1774])).
% 6.81/4.73 tff(1780,plain,
% 6.81/4.73 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB43) | (~(((~v127(constB43, bitIndex2)) <=> v130(constB43, bitIndex2)) | ((~v127(constB43, bitIndex1)) <=> v130(constB43, bitIndex1)) | ((~v127(constB43, bitIndex0)) <=> v130(constB43, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB43) | (~(((~v127(constB43, bitIndex2)) <=> v130(constB43, bitIndex2)) | ((~v127(constB43, bitIndex1)) <=> v130(constB43, bitIndex1)) | ((~v127(constB43, bitIndex0)) <=> v130(constB43, bitIndex0)))))),
% 6.81/4.73 inference(rewrite,[status(thm)],[])).
% 6.81/4.73 tff(1781,plain,
% 6.81/4.73 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB43) | (~(((~v127(constB43, bitIndex2)) <=> v130(constB43, bitIndex2)) | ((~v127(constB43, bitIndex1)) <=> v130(constB43, bitIndex1)) | ((~v127(constB43, bitIndex0)) <=> v130(constB43, bitIndex0)))))),
% 6.81/4.73 inference(quant_inst,[status(thm)],[])).
% 6.81/4.73 tff(1782,plain,
% 6.81/4.73 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB43) | (~(((~v127(constB43, bitIndex2)) <=> v130(constB43, bitIndex2)) | ((~v127(constB43, bitIndex1)) <=> v130(constB43, bitIndex1)) | ((~v127(constB43, bitIndex0)) <=> v130(constB43, bitIndex0))))),
% 6.81/4.73 inference(modus_ponens,[status(thm)],[1781, 1780])).
% 6.81/4.73 tff(1783,plain,
% 6.81/4.73 (v111(constB43) | (~(((~v127(constB43, bitIndex2)) <=> v130(constB43, bitIndex2)) | ((~v127(constB43, bitIndex1)) <=> v130(constB43, bitIndex1)) | ((~v127(constB43, bitIndex0)) <=> v130(constB43, bitIndex0))))),
% 6.81/4.73 inference(unit_resolution,[status(thm)],[1782, 566])).
% 6.81/4.73 tff(1784,plain,
% 6.81/4.73 (~(((~v127(constB43, bitIndex2)) <=> v130(constB43, bitIndex2)) | ((~v127(constB43, bitIndex1)) <=> v130(constB43, bitIndex1)) | ((~v127(constB43, bitIndex0)) <=> v130(constB43, bitIndex0)))),
% 6.81/4.73 inference(unit_resolution,[status(thm)],[1783, 1779])).
% 6.81/4.73 tff(1785,plain,
% 6.81/4.73 ((((~v127(constB43, bitIndex2)) <=> v130(constB43, bitIndex2)) | ((~v127(constB43, bitIndex1)) <=> v130(constB43, bitIndex1)) | ((~v127(constB43, bitIndex0)) <=> v130(constB43, bitIndex0))) | (~((~v127(constB43, bitIndex2)) <=> v130(constB43, bitIndex2)))),
% 6.81/4.73 inference(tautology,[status(thm)],[])).
% 6.81/4.73 tff(1786,plain,
% 6.81/4.73 (~((~v127(constB43, bitIndex2)) <=> v130(constB43, bitIndex2))),
% 6.81/4.73 inference(unit_resolution,[status(thm)],[1785, 1784])).
% 6.81/4.73 tff(1787,plain,
% 6.81/4.73 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB43) <=> (~(v90(constB43, bitIndex1) | v90(constB43, bitIndex0) | (~v90(constB43, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB43) <=> (~(v90(constB43, bitIndex1) | v90(constB43, bitIndex0) | (~v90(constB43, bitIndex2))))))),
% 6.81/4.73 inference(rewrite,[status(thm)],[])).
% 6.81/4.73 tff(1788,plain,
% 6.81/4.73 ((v123(constB43) <=> (~(v90(constB43, bitIndex0) | v90(constB43, bitIndex1) | (~v90(constB43, bitIndex2))))) <=> (v123(constB43) <=> (~(v90(constB43, bitIndex1) | v90(constB43, bitIndex0) | (~v90(constB43, bitIndex2)))))),
% 6.81/4.73 inference(rewrite,[status(thm)],[])).
% 6.81/4.73 tff(1789,plain,
% 6.81/4.73 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB43) <=> (~(v90(constB43, bitIndex0) | v90(constB43, bitIndex1) | (~v90(constB43, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB43) <=> (~(v90(constB43, bitIndex1) | v90(constB43, bitIndex0) | (~v90(constB43, bitIndex2))))))),
% 6.81/4.73 inference(monotonicity,[status(thm)],[1788])).
% 6.81/4.73 tff(1790,plain,
% 6.81/4.73 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB43) <=> (~(v90(constB43, bitIndex0) | v90(constB43, bitIndex1) | (~v90(constB43, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB43) <=> (~(v90(constB43, bitIndex1) | v90(constB43, bitIndex0) | (~v90(constB43, bitIndex2))))))),
% 6.81/4.73 inference(transitivity,[status(thm)],[1789, 1787])).
% 6.81/4.73 tff(1791,plain,
% 6.81/4.73 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB43) <=> (~(v90(constB43, bitIndex0) | v90(constB43, bitIndex1) | (~v90(constB43, bitIndex2)))))),
% 6.81/4.73 inference(quant_inst,[status(thm)],[])).
% 6.81/4.73 tff(1792,plain,
% 6.81/4.73 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB43) <=> (~(v90(constB43, bitIndex1) | v90(constB43, bitIndex0) | (~v90(constB43, bitIndex2)))))),
% 6.81/4.73 inference(modus_ponens,[status(thm)],[1791, 1790])).
% 6.81/4.73 tff(1793,plain,
% 6.81/4.73 (v123(constB43) <=> (~(v90(constB43, bitIndex1) | v90(constB43, bitIndex0) | (~v90(constB43, bitIndex2))))),
% 6.81/4.73 inference(unit_resolution,[status(thm)],[1792, 800])).
% 6.81/4.74 tff(1794,plain,
% 6.81/4.74 (nextState(constB42, constB43) <=> nextState(constB42, constB43)),
% 6.81/4.74 inference(rewrite,[status(thm)],[])).
% 6.81/4.74 tff(1795,axiom,(nextState(constB42, constB43)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_42')).
% 6.81/4.74 tff(1796,plain,
% 6.81/4.74 (nextState(constB42, constB43)),
% 6.81/4.74 inference(modus_ponens,[status(thm)],[1795, 1794])).
% 6.81/4.74 tff(1797,plain,
% 6.81/4.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB42, constB43)) | (v100(constB43) <=> (~((~v101(constB43)) | (~v110(constB43))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB42, constB43)) | (v100(constB43) <=> (~((~v101(constB43)) | (~v110(constB43))))))),
% 6.81/4.74 inference(rewrite,[status(thm)],[])).
% 6.81/4.74 tff(1798,plain,
% 6.81/4.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB42, constB43)) | (v100(constB43) <=> (~((~v101(constB43)) | (~v110(constB43))))))),
% 6.81/4.74 inference(quant_inst,[status(thm)],[])).
% 6.81/4.74 tff(1799,plain,
% 6.81/4.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB42, constB43)) | (v100(constB43) <=> (~((~v101(constB43)) | (~v110(constB43)))))),
% 6.81/4.74 inference(modus_ponens,[status(thm)],[1798, 1797])).
% 6.81/4.74 tff(1800,plain,
% 6.81/4.74 (v100(constB43) <=> (~((~v101(constB43)) | (~v110(constB43))))),
% 6.81/4.74 inference(unit_resolution,[status(thm)],[1799, 1796, 445])).
% 6.81/4.74 tff(1801,plain,
% 6.81/4.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB42, constB43)) | (v101(constB43) <=> (~((~v1(constB43)) | (~v102(constB43))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB42, constB43)) | (v101(constB43) <=> (~((~v1(constB43)) | (~v102(constB43))))))),
% 6.81/4.74 inference(rewrite,[status(thm)],[])).
% 6.81/4.74 tff(1802,plain,
% 6.81/4.74 (((~nextState(constB42, constB43)) | (v101(constB43) <=> (~((~v102(constB43)) | (~v1(constB43)))))) <=> ((~nextState(constB42, constB43)) | (v101(constB43) <=> (~((~v1(constB43)) | (~v102(constB43))))))),
% 6.81/4.74 inference(rewrite,[status(thm)],[])).
% 6.81/4.74 tff(1803,plain,
% 6.81/4.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB42, constB43)) | (v101(constB43) <=> (~((~v102(constB43)) | (~v1(constB43))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB42, constB43)) | (v101(constB43) <=> (~((~v1(constB43)) | (~v102(constB43)))))))),
% 6.81/4.74 inference(monotonicity,[status(thm)],[1802])).
% 6.81/4.74 tff(1804,plain,
% 6.81/4.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB42, constB43)) | (v101(constB43) <=> (~((~v102(constB43)) | (~v1(constB43))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB42, constB43)) | (v101(constB43) <=> (~((~v1(constB43)) | (~v102(constB43))))))),
% 6.81/4.74 inference(transitivity,[status(thm)],[1803, 1801])).
% 6.81/4.74 tff(1805,plain,
% 6.81/4.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB42, constB43)) | (v101(constB43) <=> (~((~v102(constB43)) | (~v1(constB43))))))),
% 6.81/4.74 inference(quant_inst,[status(thm)],[])).
% 6.81/4.74 tff(1806,plain,
% 6.81/4.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB42, constB43)) | (v101(constB43) <=> (~((~v1(constB43)) | (~v102(constB43)))))),
% 6.81/4.74 inference(modus_ponens,[status(thm)],[1805, 1804])).
% 6.81/4.74 tff(1807,plain,
% 6.81/4.74 (v101(constB43) <=> (~((~v1(constB43)) | (~v102(constB43))))),
% 6.81/4.74 inference(unit_resolution,[status(thm)],[1806, 1796, 465])).
% 6.81/4.74 tff(1808,plain,
% 6.81/4.74 ((~v1(constB43)) <=> (~v1(constB43))),
% 6.81/4.74 inference(rewrite,[status(thm)],[])).
% 6.81/4.74 tff(1809,axiom,(~v1(constB43)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_43')).
% 6.81/4.74 tff(1810,plain,
% 6.81/4.74 (~v1(constB43)),
% 6.81/4.74 inference(modus_ponens,[status(thm)],[1809, 1808])).
% 6.81/4.74 tff(1811,plain,
% 6.81/4.74 (((~v1(constB43)) | (~v102(constB43))) | v1(constB43)),
% 6.81/4.74 inference(tautology,[status(thm)],[])).
% 6.81/4.74 tff(1812,plain,
% 6.81/4.74 ((~v1(constB43)) | (~v102(constB43))),
% 6.81/4.74 inference(unit_resolution,[status(thm)],[1811, 1810])).
% 6.81/4.74 tff(1813,plain,
% 6.81/4.74 ((~(v101(constB43) <=> (~((~v1(constB43)) | (~v102(constB43)))))) | (~v101(constB43)) | (~((~v1(constB43)) | (~v102(constB43))))),
% 6.81/4.74 inference(tautology,[status(thm)],[])).
% 6.81/4.74 tff(1814,plain,
% 6.81/4.74 ((~(v101(constB43) <=> (~((~v1(constB43)) | (~v102(constB43)))))) | (~v101(constB43))),
% 6.81/4.74 inference(unit_resolution,[status(thm)],[1813, 1812])).
% 6.81/4.74 tff(1815,plain,
% 6.81/4.74 (~v101(constB43)),
% 6.81/4.74 inference(unit_resolution,[status(thm)],[1814, 1807])).
% 6.81/4.74 tff(1816,plain,
% 6.81/4.74 (((~v101(constB43)) | (~v110(constB43))) | v101(constB43)),
% 6.81/4.74 inference(tautology,[status(thm)],[])).
% 6.81/4.74 tff(1817,plain,
% 6.81/4.74 ((~v101(constB43)) | (~v110(constB43))),
% 6.81/4.74 inference(unit_resolution,[status(thm)],[1816, 1815])).
% 6.81/4.74 tff(1818,plain,
% 6.81/4.74 ((~(v100(constB43) <=> (~((~v101(constB43)) | (~v110(constB43)))))) | (~v100(constB43)) | (~((~v101(constB43)) | (~v110(constB43))))),
% 6.81/4.74 inference(tautology,[status(thm)],[])).
% 6.81/4.74 tff(1819,plain,
% 6.81/4.74 (~v100(constB43)),
% 6.81/4.74 inference(unit_resolution,[status(thm)],[1818, 1817, 1800])).
% 6.81/4.74 tff(1820,plain,
% 6.81/4.74 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB43) | (~nextState(constB42, constB43)) | (~(((~v90(constB43, bitIndex1)) <=> v90(constB42, bitIndex1)) | ((~v90(constB43, bitIndex2)) <=> v90(constB42, bitIndex2)) | ((~v90(constB43, bitIndex0)) <=> v90(constB42, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB43) | (~nextState(constB42, constB43)) | (~(((~v90(constB43, bitIndex1)) <=> v90(constB42, bitIndex1)) | ((~v90(constB43, bitIndex2)) <=> v90(constB42, bitIndex2)) | ((~v90(constB43, bitIndex0)) <=> v90(constB42, bitIndex0)))))),
% 6.81/4.74 inference(rewrite,[status(thm)],[])).
% 6.81/4.74 tff(1821,plain,
% 6.81/4.74 ((v100(constB43) | (~nextState(constB42, constB43)) | (~(((~v90(constB43, bitIndex2)) <=> v90(constB42, bitIndex2)) | ((~v90(constB43, bitIndex1)) <=> v90(constB42, bitIndex1)) | ((~v90(constB43, bitIndex0)) <=> v90(constB42, bitIndex0))))) <=> (v100(constB43) | (~nextState(constB42, constB43)) | (~(((~v90(constB43, bitIndex1)) <=> v90(constB42, bitIndex1)) | ((~v90(constB43, bitIndex2)) <=> v90(constB42, bitIndex2)) | ((~v90(constB43, bitIndex0)) <=> v90(constB42, bitIndex0)))))),
% 6.81/4.74 inference(rewrite,[status(thm)],[])).
% 6.81/4.74 tff(1822,plain,
% 6.81/4.74 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB43) | (~nextState(constB42, constB43)) | (~(((~v90(constB43, bitIndex2)) <=> v90(constB42, bitIndex2)) | ((~v90(constB43, bitIndex1)) <=> v90(constB42, bitIndex1)) | ((~v90(constB43, bitIndex0)) <=> v90(constB42, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB43) | (~nextState(constB42, constB43)) | (~(((~v90(constB43, bitIndex1)) <=> v90(constB42, bitIndex1)) | ((~v90(constB43, bitIndex2)) <=> v90(constB42, bitIndex2)) | ((~v90(constB43, bitIndex0)) <=> v90(constB42, bitIndex0))))))),
% 6.81/4.74 inference(monotonicity,[status(thm)],[1821])).
% 6.81/4.74 tff(1823,plain,
% 6.81/4.74 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB43) | (~nextState(constB42, constB43)) | (~(((~v90(constB43, bitIndex2)) <=> v90(constB42, bitIndex2)) | ((~v90(constB43, bitIndex1)) <=> v90(constB42, bitIndex1)) | ((~v90(constB43, bitIndex0)) <=> v90(constB42, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB43) | (~nextState(constB42, constB43)) | (~(((~v90(constB43, bitIndex1)) <=> v90(constB42, bitIndex1)) | ((~v90(constB43, bitIndex2)) <=> v90(constB42, bitIndex2)) | ((~v90(constB43, bitIndex0)) <=> v90(constB42, bitIndex0)))))),
% 6.81/4.74 inference(transitivity,[status(thm)],[1822, 1820])).
% 6.81/4.74 tff(1824,plain,
% 6.81/4.74 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB43) | (~nextState(constB42, constB43)) | (~(((~v90(constB43, bitIndex2)) <=> v90(constB42, bitIndex2)) | ((~v90(constB43, bitIndex1)) <=> v90(constB42, bitIndex1)) | ((~v90(constB43, bitIndex0)) <=> v90(constB42, bitIndex0)))))),
% 6.81/4.74 inference(quant_inst,[status(thm)],[])).
% 6.81/4.74 tff(1825,plain,
% 6.81/4.74 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB43) | (~nextState(constB42, constB43)) | (~(((~v90(constB43, bitIndex1)) <=> v90(constB42, bitIndex1)) | ((~v90(constB43, bitIndex2)) <=> v90(constB42, bitIndex2)) | ((~v90(constB43, bitIndex0)) <=> v90(constB42, bitIndex0))))),
% 6.81/4.74 inference(modus_ponens,[status(thm)],[1824, 1823])).
% 6.81/4.74 tff(1826,plain,
% 6.81/4.74 (v100(constB43) | (~(((~v90(constB43, bitIndex1)) <=> v90(constB42, bitIndex1)) | ((~v90(constB43, bitIndex2)) <=> v90(constB42, bitIndex2)) | ((~v90(constB43, bitIndex0)) <=> v90(constB42, bitIndex0))))),
% 6.81/4.74 inference(unit_resolution,[status(thm)],[1825, 1796, 494])).
% 6.81/4.74 tff(1827,plain,
% 6.81/4.74 (~(((~v90(constB43, bitIndex1)) <=> v90(constB42, bitIndex1)) | ((~v90(constB43, bitIndex2)) <=> v90(constB42, bitIndex2)) | ((~v90(constB43, bitIndex0)) <=> v90(constB42, bitIndex0)))),
% 6.81/4.74 inference(unit_resolution,[status(thm)],[1826, 1819])).
% 6.81/4.74 tff(1828,plain,
% 6.81/4.74 ((((~v90(constB43, bitIndex1)) <=> v90(constB42, bitIndex1)) | ((~v90(constB43, bitIndex2)) <=> v90(constB42, bitIndex2)) | ((~v90(constB43, bitIndex0)) <=> v90(constB42, bitIndex0))) | (~((~v90(constB43, bitIndex2)) <=> v90(constB42, bitIndex2)))),
% 6.81/4.74 inference(tautology,[status(thm)],[])).
% 6.81/4.74 tff(1829,plain,
% 6.81/4.74 (~((~v90(constB43, bitIndex2)) <=> v90(constB42, bitIndex2))),
% 6.81/4.74 inference(unit_resolution,[status(thm)],[1828, 1827])).
% 6.81/4.74 tff(1830,plain,
% 6.81/4.74 (nextState(constB41, constB42) <=> nextState(constB41, constB42)),
% 6.81/4.74 inference(rewrite,[status(thm)],[])).
% 6.81/4.74 tff(1831,axiom,(nextState(constB41, constB42)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_41')).
% 6.81/4.74 tff(1832,plain,
% 6.81/4.74 (nextState(constB41, constB42)),
% 6.81/4.74 inference(modus_ponens,[status(thm)],[1831, 1830])).
% 6.81/4.74 tff(1833,plain,
% 6.81/4.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB41, constB42)) | (~(((~v129(constB42, bitIndex2)) <=> v127(constB41, bitIndex2)) | ((~v129(constB42, bitIndex1)) <=> v127(constB41, bitIndex1)) | ((~v129(constB42, bitIndex0)) <=> v127(constB41, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB41, constB42)) | (~(((~v129(constB42, bitIndex2)) <=> v127(constB41, bitIndex2)) | ((~v129(constB42, bitIndex1)) <=> v127(constB41, bitIndex1)) | ((~v129(constB42, bitIndex0)) <=> v127(constB41, bitIndex0)))))),
% 6.81/4.74 inference(rewrite,[status(thm)],[])).
% 6.81/4.74 tff(1834,plain,
% 6.81/4.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB41, constB42)) | (~(((~v129(constB42, bitIndex2)) <=> v127(constB41, bitIndex2)) | ((~v129(constB42, bitIndex1)) <=> v127(constB41, bitIndex1)) | ((~v129(constB42, bitIndex0)) <=> v127(constB41, bitIndex0)))))),
% 6.81/4.74 inference(quant_inst,[status(thm)],[])).
% 6.81/4.74 tff(1835,plain,
% 6.81/4.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB41, constB42)) | (~(((~v129(constB42, bitIndex2)) <=> v127(constB41, bitIndex2)) | ((~v129(constB42, bitIndex1)) <=> v127(constB41, bitIndex1)) | ((~v129(constB42, bitIndex0)) <=> v127(constB41, bitIndex0))))),
% 6.81/4.74 inference(modus_ponens,[status(thm)],[1834, 1833])).
% 6.81/4.74 tff(1836,plain,
% 6.81/4.74 (~(((~v129(constB42, bitIndex2)) <=> v127(constB41, bitIndex2)) | ((~v129(constB42, bitIndex1)) <=> v127(constB41, bitIndex1)) | ((~v129(constB42, bitIndex0)) <=> v127(constB41, bitIndex0)))),
% 6.81/4.74 inference(unit_resolution,[status(thm)],[1835, 1832, 517])).
% 6.81/4.74 tff(1837,plain,
% 6.81/4.74 ((((~v129(constB42, bitIndex2)) <=> v127(constB41, bitIndex2)) | ((~v129(constB42, bitIndex1)) <=> v127(constB41, bitIndex1)) | ((~v129(constB42, bitIndex0)) <=> v127(constB41, bitIndex0))) | (~((~v129(constB42, bitIndex2)) <=> v127(constB41, bitIndex2)))),
% 6.81/4.74 inference(tautology,[status(thm)],[])).
% 6.81/4.74 tff(1838,plain,
% 6.81/4.74 (~((~v129(constB42, bitIndex2)) <=> v127(constB41, bitIndex2))),
% 6.81/4.74 inference(unit_resolution,[status(thm)],[1837, 1836])).
% 6.81/4.74 tff(1839,plain,
% 6.81/4.74 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB41) <=> v26(constB41))),
% 6.81/4.74 inference(quant_inst,[status(thm)],[])).
% 6.81/4.74 tff(1840,plain,
% 6.81/4.74 (v111(constB41) <=> v26(constB41)),
% 6.81/4.74 inference(unit_resolution,[status(thm)],[1839, 536])).
% 6.81/4.74 tff(1841,plain,
% 6.81/4.74 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB41))),
% 6.81/4.74 inference(quant_inst,[status(thm)],[])).
% 6.81/4.74 tff(1842,plain,
% 6.81/4.74 (~v26(constB41)),
% 6.81/4.74 inference(unit_resolution,[status(thm)],[1841, 548])).
% 6.81/4.74 tff(1843,plain,
% 6.81/4.74 ((~(v111(constB41) <=> v26(constB41))) | (~v111(constB41)) | v26(constB41)),
% 6.81/4.74 inference(tautology,[status(thm)],[])).
% 6.81/4.74 tff(1844,plain,
% 6.81/4.74 ((~(v111(constB41) <=> v26(constB41))) | (~v111(constB41))),
% 6.81/4.74 inference(unit_resolution,[status(thm)],[1843, 1842])).
% 6.81/4.74 tff(1845,plain,
% 6.81/4.74 (~v111(constB41)),
% 6.81/4.74 inference(unit_resolution,[status(thm)],[1844, 1840])).
% 6.81/4.74 tff(1846,plain,
% 6.81/4.74 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB41) | (~(((~v127(constB41, bitIndex2)) <=> v130(constB41, bitIndex2)) | ((~v127(constB41, bitIndex1)) <=> v130(constB41, bitIndex1)) | ((~v127(constB41, bitIndex0)) <=> v130(constB41, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB41) | (~(((~v127(constB41, bitIndex2)) <=> v130(constB41, bitIndex2)) | ((~v127(constB41, bitIndex1)) <=> v130(constB41, bitIndex1)) | ((~v127(constB41, bitIndex0)) <=> v130(constB41, bitIndex0)))))),
% 6.81/4.74 inference(rewrite,[status(thm)],[])).
% 6.81/4.74 tff(1847,plain,
% 6.81/4.74 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB41) | (~(((~v127(constB41, bitIndex2)) <=> v130(constB41, bitIndex2)) | ((~v127(constB41, bitIndex1)) <=> v130(constB41, bitIndex1)) | ((~v127(constB41, bitIndex0)) <=> v130(constB41, bitIndex0)))))),
% 6.81/4.74 inference(quant_inst,[status(thm)],[])).
% 6.81/4.74 tff(1848,plain,
% 6.81/4.74 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB41) | (~(((~v127(constB41, bitIndex2)) <=> v130(constB41, bitIndex2)) | ((~v127(constB41, bitIndex1)) <=> v130(constB41, bitIndex1)) | ((~v127(constB41, bitIndex0)) <=> v130(constB41, bitIndex0))))),
% 6.81/4.74 inference(modus_ponens,[status(thm)],[1847, 1846])).
% 6.81/4.74 tff(1849,plain,
% 6.81/4.74 (v111(constB41) | (~(((~v127(constB41, bitIndex2)) <=> v130(constB41, bitIndex2)) | ((~v127(constB41, bitIndex1)) <=> v130(constB41, bitIndex1)) | ((~v127(constB41, bitIndex0)) <=> v130(constB41, bitIndex0))))),
% 6.81/4.74 inference(unit_resolution,[status(thm)],[1848, 566])).
% 6.81/4.74 tff(1850,plain,
% 6.81/4.74 (~(((~v127(constB41, bitIndex2)) <=> v130(constB41, bitIndex2)) | ((~v127(constB41, bitIndex1)) <=> v130(constB41, bitIndex1)) | ((~v127(constB41, bitIndex0)) <=> v130(constB41, bitIndex0)))),
% 6.81/4.74 inference(unit_resolution,[status(thm)],[1849, 1845])).
% 6.81/4.74 tff(1851,plain,
% 6.81/4.74 ((((~v127(constB41, bitIndex2)) <=> v130(constB41, bitIndex2)) | ((~v127(constB41, bitIndex1)) <=> v130(constB41, bitIndex1)) | ((~v127(constB41, bitIndex0)) <=> v130(constB41, bitIndex0))) | (~((~v127(constB41, bitIndex2)) <=> v130(constB41, bitIndex2)))),
% 6.81/4.74 inference(tautology,[status(thm)],[])).
% 6.81/4.74 tff(1852,plain,
% 6.81/4.74 (~((~v127(constB41, bitIndex2)) <=> v130(constB41, bitIndex2))),
% 6.81/4.74 inference(unit_resolution,[status(thm)],[1851, 1850])).
% 6.81/4.74 tff(1853,plain,
% 6.81/4.74 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB41) <=> (~(v90(constB41, bitIndex2) | (~v90(constB41, bitIndex1)) | (~v90(constB41, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB41) <=> (~(v90(constB41, bitIndex2) | (~v90(constB41, bitIndex1)) | (~v90(constB41, bitIndex0))))))),
% 6.81/4.74 inference(rewrite,[status(thm)],[])).
% 6.81/4.74 tff(1854,plain,
% 6.81/4.74 ((v122(constB41) <=> (~(v90(constB41, bitIndex2) | (~v90(constB41, bitIndex0)) | (~v90(constB41, bitIndex1))))) <=> (v122(constB41) <=> (~(v90(constB41, bitIndex2) | (~v90(constB41, bitIndex1)) | (~v90(constB41, bitIndex0)))))),
% 6.81/4.74 inference(rewrite,[status(thm)],[])).
% 6.81/4.74 tff(1855,plain,
% 6.81/4.74 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB41) <=> (~(v90(constB41, bitIndex2) | (~v90(constB41, bitIndex0)) | (~v90(constB41, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB41) <=> (~(v90(constB41, bitIndex2) | (~v90(constB41, bitIndex1)) | (~v90(constB41, bitIndex0))))))),
% 6.81/4.74 inference(monotonicity,[status(thm)],[1854])).
% 6.81/4.74 tff(1856,plain,
% 6.81/4.74 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB41) <=> (~(v90(constB41, bitIndex2) | (~v90(constB41, bitIndex0)) | (~v90(constB41, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB41) <=> (~(v90(constB41, bitIndex2) | (~v90(constB41, bitIndex1)) | (~v90(constB41, bitIndex0))))))),
% 6.81/4.74 inference(transitivity,[status(thm)],[1855, 1853])).
% 6.81/4.74 tff(1857,plain,
% 6.81/4.74 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB41) <=> (~(v90(constB41, bitIndex2) | (~v90(constB41, bitIndex0)) | (~v90(constB41, bitIndex1)))))),
% 6.81/4.74 inference(quant_inst,[status(thm)],[])).
% 6.81/4.74 tff(1858,plain,
% 6.81/4.74 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB41) <=> (~(v90(constB41, bitIndex2) | (~v90(constB41, bitIndex1)) | (~v90(constB41, bitIndex0)))))),
% 6.81/4.74 inference(modus_ponens,[status(thm)],[1857, 1856])).
% 6.81/4.74 tff(1859,plain,
% 6.81/4.74 (v122(constB41) <=> (~(v90(constB41, bitIndex2) | (~v90(constB41, bitIndex1)) | (~v90(constB41, bitIndex0))))),
% 6.81/4.74 inference(unit_resolution,[status(thm)],[1858, 879])).
% 6.81/4.74 tff(1860,plain,
% 6.81/4.74 (nextState(constB40, constB41) <=> nextState(constB40, constB41)),
% 6.81/4.74 inference(rewrite,[status(thm)],[])).
% 6.81/4.74 tff(1861,axiom,(nextState(constB40, constB41)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_40')).
% 6.81/4.74 tff(1862,plain,
% 6.81/4.74 (nextState(constB40, constB41)),
% 6.81/4.74 inference(modus_ponens,[status(thm)],[1861, 1860])).
% 6.81/4.74 tff(1863,plain,
% 6.81/4.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB40, constB41)) | (v100(constB41) <=> (~((~v101(constB41)) | (~v110(constB41))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB40, constB41)) | (v100(constB41) <=> (~((~v101(constB41)) | (~v110(constB41))))))),
% 6.81/4.74 inference(rewrite,[status(thm)],[])).
% 6.81/4.74 tff(1864,plain,
% 6.81/4.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB40, constB41)) | (v100(constB41) <=> (~((~v101(constB41)) | (~v110(constB41))))))),
% 6.81/4.74 inference(quant_inst,[status(thm)],[])).
% 6.81/4.74 tff(1865,plain,
% 6.81/4.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB40, constB41)) | (v100(constB41) <=> (~((~v101(constB41)) | (~v110(constB41)))))),
% 6.81/4.74 inference(modus_ponens,[status(thm)],[1864, 1863])).
% 6.81/4.74 tff(1866,plain,
% 6.81/4.74 (v100(constB41) <=> (~((~v101(constB41)) | (~v110(constB41))))),
% 6.81/4.74 inference(unit_resolution,[status(thm)],[1865, 1862, 445])).
% 6.81/4.74 tff(1867,plain,
% 6.81/4.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB40, constB41)) | (v101(constB41) <=> (~((~v1(constB41)) | (~v102(constB41))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB40, constB41)) | (v101(constB41) <=> (~((~v1(constB41)) | (~v102(constB41))))))),
% 6.81/4.74 inference(rewrite,[status(thm)],[])).
% 6.81/4.74 tff(1868,plain,
% 6.81/4.74 (((~nextState(constB40, constB41)) | (v101(constB41) <=> (~((~v102(constB41)) | (~v1(constB41)))))) <=> ((~nextState(constB40, constB41)) | (v101(constB41) <=> (~((~v1(constB41)) | (~v102(constB41))))))),
% 6.81/4.74 inference(rewrite,[status(thm)],[])).
% 6.81/4.74 tff(1869,plain,
% 6.81/4.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB40, constB41)) | (v101(constB41) <=> (~((~v102(constB41)) | (~v1(constB41))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB40, constB41)) | (v101(constB41) <=> (~((~v1(constB41)) | (~v102(constB41)))))))),
% 6.81/4.74 inference(monotonicity,[status(thm)],[1868])).
% 6.81/4.74 tff(1870,plain,
% 6.81/4.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB40, constB41)) | (v101(constB41) <=> (~((~v102(constB41)) | (~v1(constB41))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB40, constB41)) | (v101(constB41) <=> (~((~v1(constB41)) | (~v102(constB41))))))),
% 6.81/4.74 inference(transitivity,[status(thm)],[1869, 1867])).
% 6.81/4.74 tff(1871,plain,
% 6.81/4.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB40, constB41)) | (v101(constB41) <=> (~((~v102(constB41)) | (~v1(constB41))))))),
% 6.81/4.74 inference(quant_inst,[status(thm)],[])).
% 6.81/4.74 tff(1872,plain,
% 6.81/4.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB40, constB41)) | (v101(constB41) <=> (~((~v1(constB41)) | (~v102(constB41)))))),
% 6.81/4.74 inference(modus_ponens,[status(thm)],[1871, 1870])).
% 6.81/4.74 tff(1873,plain,
% 6.81/4.74 (v101(constB41) <=> (~((~v1(constB41)) | (~v102(constB41))))),
% 6.81/4.74 inference(unit_resolution,[status(thm)],[1872, 1862, 465])).
% 6.81/4.74 tff(1874,plain,
% 6.81/4.74 ((~v1(constB41)) <=> (~v1(constB41))),
% 6.81/4.74 inference(rewrite,[status(thm)],[])).
% 6.81/4.74 tff(1875,axiom,(~v1(constB41)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_41')).
% 6.81/4.74 tff(1876,plain,
% 6.81/4.74 (~v1(constB41)),
% 6.81/4.74 inference(modus_ponens,[status(thm)],[1875, 1874])).
% 6.81/4.74 tff(1877,plain,
% 6.81/4.74 (((~v1(constB41)) | (~v102(constB41))) | v1(constB41)),
% 6.81/4.74 inference(tautology,[status(thm)],[])).
% 6.81/4.74 tff(1878,plain,
% 6.81/4.74 ((~v1(constB41)) | (~v102(constB41))),
% 6.81/4.74 inference(unit_resolution,[status(thm)],[1877, 1876])).
% 6.81/4.74 tff(1879,plain,
% 6.81/4.74 ((~(v101(constB41) <=> (~((~v1(constB41)) | (~v102(constB41)))))) | (~v101(constB41)) | (~((~v1(constB41)) | (~v102(constB41))))),
% 6.81/4.74 inference(tautology,[status(thm)],[])).
% 6.81/4.74 tff(1880,plain,
% 6.81/4.74 ((~(v101(constB41) <=> (~((~v1(constB41)) | (~v102(constB41)))))) | (~v101(constB41))),
% 6.81/4.74 inference(unit_resolution,[status(thm)],[1879, 1878])).
% 6.81/4.74 tff(1881,plain,
% 6.81/4.74 (~v101(constB41)),
% 6.81/4.74 inference(unit_resolution,[status(thm)],[1880, 1873])).
% 6.81/4.74 tff(1882,plain,
% 6.81/4.74 (((~v101(constB41)) | (~v110(constB41))) | v101(constB41)),
% 6.81/4.74 inference(tautology,[status(thm)],[])).
% 6.81/4.74 tff(1883,plain,
% 6.81/4.74 ((~v101(constB41)) | (~v110(constB41))),
% 6.81/4.74 inference(unit_resolution,[status(thm)],[1882, 1881])).
% 6.81/4.74 tff(1884,plain,
% 6.81/4.74 ((~(v100(constB41) <=> (~((~v101(constB41)) | (~v110(constB41)))))) | (~v100(constB41)) | (~((~v101(constB41)) | (~v110(constB41))))),
% 6.81/4.74 inference(tautology,[status(thm)],[])).
% 6.81/4.74 tff(1885,plain,
% 6.81/4.74 (~v100(constB41)),
% 6.81/4.74 inference(unit_resolution,[status(thm)],[1884, 1883, 1866])).
% 6.81/4.74 tff(1886,plain,
% 6.81/4.74 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB41) | (~nextState(constB40, constB41)) | (~(((~v90(constB41, bitIndex1)) <=> v90(constB40, bitIndex1)) | ((~v90(constB41, bitIndex2)) <=> v90(constB40, bitIndex2)) | ((~v90(constB41, bitIndex0)) <=> v90(constB40, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB41) | (~nextState(constB40, constB41)) | (~(((~v90(constB41, bitIndex1)) <=> v90(constB40, bitIndex1)) | ((~v90(constB41, bitIndex2)) <=> v90(constB40, bitIndex2)) | ((~v90(constB41, bitIndex0)) <=> v90(constB40, bitIndex0)))))),
% 6.81/4.75 inference(rewrite,[status(thm)],[])).
% 6.81/4.75 tff(1887,plain,
% 6.81/4.75 ((v100(constB41) | (~nextState(constB40, constB41)) | (~(((~v90(constB41, bitIndex2)) <=> v90(constB40, bitIndex2)) | ((~v90(constB41, bitIndex1)) <=> v90(constB40, bitIndex1)) | ((~v90(constB41, bitIndex0)) <=> v90(constB40, bitIndex0))))) <=> (v100(constB41) | (~nextState(constB40, constB41)) | (~(((~v90(constB41, bitIndex1)) <=> v90(constB40, bitIndex1)) | ((~v90(constB41, bitIndex2)) <=> v90(constB40, bitIndex2)) | ((~v90(constB41, bitIndex0)) <=> v90(constB40, bitIndex0)))))),
% 6.81/4.75 inference(rewrite,[status(thm)],[])).
% 6.81/4.75 tff(1888,plain,
% 6.81/4.75 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB41) | (~nextState(constB40, constB41)) | (~(((~v90(constB41, bitIndex2)) <=> v90(constB40, bitIndex2)) | ((~v90(constB41, bitIndex1)) <=> v90(constB40, bitIndex1)) | ((~v90(constB41, bitIndex0)) <=> v90(constB40, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB41) | (~nextState(constB40, constB41)) | (~(((~v90(constB41, bitIndex1)) <=> v90(constB40, bitIndex1)) | ((~v90(constB41, bitIndex2)) <=> v90(constB40, bitIndex2)) | ((~v90(constB41, bitIndex0)) <=> v90(constB40, bitIndex0))))))),
% 6.81/4.75 inference(monotonicity,[status(thm)],[1887])).
% 6.81/4.75 tff(1889,plain,
% 6.81/4.75 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB41) | (~nextState(constB40, constB41)) | (~(((~v90(constB41, bitIndex2)) <=> v90(constB40, bitIndex2)) | ((~v90(constB41, bitIndex1)) <=> v90(constB40, bitIndex1)) | ((~v90(constB41, bitIndex0)) <=> v90(constB40, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB41) | (~nextState(constB40, constB41)) | (~(((~v90(constB41, bitIndex1)) <=> v90(constB40, bitIndex1)) | ((~v90(constB41, bitIndex2)) <=> v90(constB40, bitIndex2)) | ((~v90(constB41, bitIndex0)) <=> v90(constB40, bitIndex0)))))),
% 6.81/4.75 inference(transitivity,[status(thm)],[1888, 1886])).
% 6.81/4.75 tff(1890,plain,
% 6.81/4.75 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB41) | (~nextState(constB40, constB41)) | (~(((~v90(constB41, bitIndex2)) <=> v90(constB40, bitIndex2)) | ((~v90(constB41, bitIndex1)) <=> v90(constB40, bitIndex1)) | ((~v90(constB41, bitIndex0)) <=> v90(constB40, bitIndex0)))))),
% 6.81/4.75 inference(quant_inst,[status(thm)],[])).
% 6.81/4.75 tff(1891,plain,
% 6.81/4.75 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB41) | (~nextState(constB40, constB41)) | (~(((~v90(constB41, bitIndex1)) <=> v90(constB40, bitIndex1)) | ((~v90(constB41, bitIndex2)) <=> v90(constB40, bitIndex2)) | ((~v90(constB41, bitIndex0)) <=> v90(constB40, bitIndex0))))),
% 6.81/4.75 inference(modus_ponens,[status(thm)],[1890, 1889])).
% 6.81/4.75 tff(1892,plain,
% 6.81/4.75 (v100(constB41) | (~(((~v90(constB41, bitIndex1)) <=> v90(constB40, bitIndex1)) | ((~v90(constB41, bitIndex2)) <=> v90(constB40, bitIndex2)) | ((~v90(constB41, bitIndex0)) <=> v90(constB40, bitIndex0))))),
% 6.81/4.75 inference(unit_resolution,[status(thm)],[1891, 1862, 494])).
% 6.81/4.75 tff(1893,plain,
% 6.81/4.75 (~(((~v90(constB41, bitIndex1)) <=> v90(constB40, bitIndex1)) | ((~v90(constB41, bitIndex2)) <=> v90(constB40, bitIndex2)) | ((~v90(constB41, bitIndex0)) <=> v90(constB40, bitIndex0)))),
% 6.81/4.75 inference(unit_resolution,[status(thm)],[1892, 1885])).
% 6.81/4.75 tff(1894,plain,
% 6.81/4.75 ((((~v90(constB41, bitIndex1)) <=> v90(constB40, bitIndex1)) | ((~v90(constB41, bitIndex2)) <=> v90(constB40, bitIndex2)) | ((~v90(constB41, bitIndex0)) <=> v90(constB40, bitIndex0))) | (~((~v90(constB41, bitIndex2)) <=> v90(constB40, bitIndex2)))),
% 6.81/4.75 inference(tautology,[status(thm)],[])).
% 6.81/4.75 tff(1895,plain,
% 6.81/4.75 (~((~v90(constB41, bitIndex2)) <=> v90(constB40, bitIndex2))),
% 6.81/4.75 inference(unit_resolution,[status(thm)],[1894, 1893])).
% 6.81/4.75 tff(1896,plain,
% 6.81/4.75 (nextState(constB39, constB40) <=> nextState(constB39, constB40)),
% 6.81/4.75 inference(rewrite,[status(thm)],[])).
% 6.81/4.75 tff(1897,axiom,(nextState(constB39, constB40)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_39')).
% 6.81/4.75 tff(1898,plain,
% 6.81/4.75 (nextState(constB39, constB40)),
% 6.81/4.75 inference(modus_ponens,[status(thm)],[1897, 1896])).
% 6.81/4.75 tff(1899,plain,
% 6.81/4.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB39, constB40)) | (~(((~v129(constB40, bitIndex2)) <=> v127(constB39, bitIndex2)) | ((~v129(constB40, bitIndex1)) <=> v127(constB39, bitIndex1)) | ((~v129(constB40, bitIndex0)) <=> v127(constB39, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB39, constB40)) | (~(((~v129(constB40, bitIndex2)) <=> v127(constB39, bitIndex2)) | ((~v129(constB40, bitIndex1)) <=> v127(constB39, bitIndex1)) | ((~v129(constB40, bitIndex0)) <=> v127(constB39, bitIndex0)))))),
% 6.81/4.75 inference(rewrite,[status(thm)],[])).
% 6.81/4.75 tff(1900,plain,
% 6.81/4.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB39, constB40)) | (~(((~v129(constB40, bitIndex2)) <=> v127(constB39, bitIndex2)) | ((~v129(constB40, bitIndex1)) <=> v127(constB39, bitIndex1)) | ((~v129(constB40, bitIndex0)) <=> v127(constB39, bitIndex0)))))),
% 6.81/4.75 inference(quant_inst,[status(thm)],[])).
% 6.81/4.75 tff(1901,plain,
% 6.81/4.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB39, constB40)) | (~(((~v129(constB40, bitIndex2)) <=> v127(constB39, bitIndex2)) | ((~v129(constB40, bitIndex1)) <=> v127(constB39, bitIndex1)) | ((~v129(constB40, bitIndex0)) <=> v127(constB39, bitIndex0))))),
% 6.81/4.75 inference(modus_ponens,[status(thm)],[1900, 1899])).
% 6.81/4.75 tff(1902,plain,
% 6.81/4.75 (~(((~v129(constB40, bitIndex2)) <=> v127(constB39, bitIndex2)) | ((~v129(constB40, bitIndex1)) <=> v127(constB39, bitIndex1)) | ((~v129(constB40, bitIndex0)) <=> v127(constB39, bitIndex0)))),
% 6.81/4.75 inference(unit_resolution,[status(thm)],[1901, 1898, 517])).
% 6.81/4.75 tff(1903,plain,
% 6.81/4.75 ((((~v129(constB40, bitIndex2)) <=> v127(constB39, bitIndex2)) | ((~v129(constB40, bitIndex1)) <=> v127(constB39, bitIndex1)) | ((~v129(constB40, bitIndex0)) <=> v127(constB39, bitIndex0))) | (~((~v129(constB40, bitIndex2)) <=> v127(constB39, bitIndex2)))),
% 6.81/4.75 inference(tautology,[status(thm)],[])).
% 6.81/4.75 tff(1904,plain,
% 6.81/4.75 (~((~v129(constB40, bitIndex2)) <=> v127(constB39, bitIndex2))),
% 6.81/4.75 inference(unit_resolution,[status(thm)],[1903, 1902])).
% 6.81/4.75 tff(1905,plain,
% 6.81/4.75 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB39) <=> v26(constB39))),
% 6.81/4.75 inference(quant_inst,[status(thm)],[])).
% 6.81/4.75 tff(1906,plain,
% 6.81/4.75 (v111(constB39) <=> v26(constB39)),
% 6.81/4.75 inference(unit_resolution,[status(thm)],[1905, 536])).
% 6.81/4.75 tff(1907,plain,
% 6.81/4.75 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB39))),
% 6.81/4.75 inference(quant_inst,[status(thm)],[])).
% 6.81/4.75 tff(1908,plain,
% 6.81/4.75 (~v26(constB39)),
% 6.81/4.75 inference(unit_resolution,[status(thm)],[1907, 548])).
% 6.81/4.75 tff(1909,plain,
% 6.81/4.75 ((~(v111(constB39) <=> v26(constB39))) | (~v111(constB39)) | v26(constB39)),
% 6.81/4.75 inference(tautology,[status(thm)],[])).
% 6.81/4.75 tff(1910,plain,
% 6.81/4.75 ((~(v111(constB39) <=> v26(constB39))) | (~v111(constB39))),
% 6.81/4.75 inference(unit_resolution,[status(thm)],[1909, 1908])).
% 6.81/4.75 tff(1911,plain,
% 6.81/4.75 (~v111(constB39)),
% 6.81/4.75 inference(unit_resolution,[status(thm)],[1910, 1906])).
% 6.81/4.75 tff(1912,plain,
% 6.81/4.75 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB39) | (~(((~v127(constB39, bitIndex2)) <=> v130(constB39, bitIndex2)) | ((~v127(constB39, bitIndex1)) <=> v130(constB39, bitIndex1)) | ((~v127(constB39, bitIndex0)) <=> v130(constB39, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB39) | (~(((~v127(constB39, bitIndex2)) <=> v130(constB39, bitIndex2)) | ((~v127(constB39, bitIndex1)) <=> v130(constB39, bitIndex1)) | ((~v127(constB39, bitIndex0)) <=> v130(constB39, bitIndex0)))))),
% 6.81/4.75 inference(rewrite,[status(thm)],[])).
% 6.81/4.75 tff(1913,plain,
% 6.81/4.75 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB39) | (~(((~v127(constB39, bitIndex2)) <=> v130(constB39, bitIndex2)) | ((~v127(constB39, bitIndex1)) <=> v130(constB39, bitIndex1)) | ((~v127(constB39, bitIndex0)) <=> v130(constB39, bitIndex0)))))),
% 6.81/4.75 inference(quant_inst,[status(thm)],[])).
% 6.81/4.75 tff(1914,plain,
% 6.81/4.75 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB39) | (~(((~v127(constB39, bitIndex2)) <=> v130(constB39, bitIndex2)) | ((~v127(constB39, bitIndex1)) <=> v130(constB39, bitIndex1)) | ((~v127(constB39, bitIndex0)) <=> v130(constB39, bitIndex0))))),
% 6.81/4.75 inference(modus_ponens,[status(thm)],[1913, 1912])).
% 6.81/4.75 tff(1915,plain,
% 6.81/4.75 (v111(constB39) | (~(((~v127(constB39, bitIndex2)) <=> v130(constB39, bitIndex2)) | ((~v127(constB39, bitIndex1)) <=> v130(constB39, bitIndex1)) | ((~v127(constB39, bitIndex0)) <=> v130(constB39, bitIndex0))))),
% 6.81/4.75 inference(unit_resolution,[status(thm)],[1914, 566])).
% 6.81/4.75 tff(1916,plain,
% 6.81/4.75 (~(((~v127(constB39, bitIndex2)) <=> v130(constB39, bitIndex2)) | ((~v127(constB39, bitIndex1)) <=> v130(constB39, bitIndex1)) | ((~v127(constB39, bitIndex0)) <=> v130(constB39, bitIndex0)))),
% 6.81/4.75 inference(unit_resolution,[status(thm)],[1915, 1911])).
% 6.81/4.75 tff(1917,plain,
% 6.81/4.75 ((((~v127(constB39, bitIndex2)) <=> v130(constB39, bitIndex2)) | ((~v127(constB39, bitIndex1)) <=> v130(constB39, bitIndex1)) | ((~v127(constB39, bitIndex0)) <=> v130(constB39, bitIndex0))) | (~((~v127(constB39, bitIndex2)) <=> v130(constB39, bitIndex2)))),
% 6.81/4.75 inference(tautology,[status(thm)],[])).
% 6.81/4.75 tff(1918,plain,
% 6.81/4.75 (~((~v127(constB39, bitIndex2)) <=> v130(constB39, bitIndex2))),
% 6.81/4.75 inference(unit_resolution,[status(thm)],[1917, 1916])).
% 6.81/4.75 tff(1919,plain,
% 6.81/4.75 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB39) <=> (~(v90(constB39, bitIndex2) | v90(constB39, bitIndex0) | (~v90(constB39, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB39) <=> (~(v90(constB39, bitIndex2) | v90(constB39, bitIndex0) | (~v90(constB39, bitIndex1))))))),
% 6.81/4.75 inference(rewrite,[status(thm)],[])).
% 6.81/4.75 tff(1920,plain,
% 6.81/4.75 ((v121(constB39) <=> (~(v90(constB39, bitIndex0) | v90(constB39, bitIndex2) | (~v90(constB39, bitIndex1))))) <=> (v121(constB39) <=> (~(v90(constB39, bitIndex2) | v90(constB39, bitIndex0) | (~v90(constB39, bitIndex1)))))),
% 6.81/4.75 inference(rewrite,[status(thm)],[])).
% 6.81/4.75 tff(1921,plain,
% 6.81/4.75 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB39) <=> (~(v90(constB39, bitIndex0) | v90(constB39, bitIndex2) | (~v90(constB39, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB39) <=> (~(v90(constB39, bitIndex2) | v90(constB39, bitIndex0) | (~v90(constB39, bitIndex1))))))),
% 6.81/4.75 inference(monotonicity,[status(thm)],[1920])).
% 6.81/4.75 tff(1922,plain,
% 6.81/4.75 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB39) <=> (~(v90(constB39, bitIndex0) | v90(constB39, bitIndex2) | (~v90(constB39, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB39) <=> (~(v90(constB39, bitIndex2) | v90(constB39, bitIndex0) | (~v90(constB39, bitIndex1))))))),
% 6.81/4.75 inference(transitivity,[status(thm)],[1921, 1919])).
% 6.81/4.75 tff(1923,plain,
% 6.81/4.75 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB39) <=> (~(v90(constB39, bitIndex0) | v90(constB39, bitIndex2) | (~v90(constB39, bitIndex1)))))),
% 6.81/4.75 inference(quant_inst,[status(thm)],[])).
% 6.81/4.75 tff(1924,plain,
% 6.81/4.75 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB39) <=> (~(v90(constB39, bitIndex2) | v90(constB39, bitIndex0) | (~v90(constB39, bitIndex1)))))),
% 6.81/4.75 inference(modus_ponens,[status(thm)],[1923, 1922])).
% 6.81/4.75 tff(1925,plain,
% 6.81/4.75 (v121(constB39) <=> (~(v90(constB39, bitIndex2) | v90(constB39, bitIndex0) | (~v90(constB39, bitIndex1))))),
% 6.81/4.75 inference(unit_resolution,[status(thm)],[1924, 586])).
% 6.81/4.75 tff(1926,plain,
% 6.81/4.75 (nextState(constB38, constB39) <=> nextState(constB38, constB39)),
% 6.81/4.75 inference(rewrite,[status(thm)],[])).
% 6.81/4.75 tff(1927,axiom,(nextState(constB38, constB39)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_38')).
% 6.81/4.75 tff(1928,plain,
% 6.81/4.75 (nextState(constB38, constB39)),
% 6.81/4.75 inference(modus_ponens,[status(thm)],[1927, 1926])).
% 6.81/4.75 tff(1929,plain,
% 6.81/4.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB38, constB39)) | (v100(constB39) <=> (~((~v101(constB39)) | (~v110(constB39))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB38, constB39)) | (v100(constB39) <=> (~((~v101(constB39)) | (~v110(constB39))))))),
% 6.81/4.75 inference(rewrite,[status(thm)],[])).
% 6.81/4.75 tff(1930,plain,
% 6.81/4.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB38, constB39)) | (v100(constB39) <=> (~((~v101(constB39)) | (~v110(constB39))))))),
% 6.81/4.75 inference(quant_inst,[status(thm)],[])).
% 6.81/4.75 tff(1931,plain,
% 6.81/4.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB38, constB39)) | (v100(constB39) <=> (~((~v101(constB39)) | (~v110(constB39)))))),
% 6.81/4.75 inference(modus_ponens,[status(thm)],[1930, 1929])).
% 6.81/4.75 tff(1932,plain,
% 6.81/4.75 (v100(constB39) <=> (~((~v101(constB39)) | (~v110(constB39))))),
% 6.81/4.75 inference(unit_resolution,[status(thm)],[1931, 1928, 445])).
% 6.81/4.75 tff(1933,plain,
% 6.81/4.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB38, constB39)) | (v101(constB39) <=> (~((~v1(constB39)) | (~v102(constB39))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB38, constB39)) | (v101(constB39) <=> (~((~v1(constB39)) | (~v102(constB39))))))),
% 6.81/4.75 inference(rewrite,[status(thm)],[])).
% 6.81/4.75 tff(1934,plain,
% 6.81/4.75 (((~nextState(constB38, constB39)) | (v101(constB39) <=> (~((~v102(constB39)) | (~v1(constB39)))))) <=> ((~nextState(constB38, constB39)) | (v101(constB39) <=> (~((~v1(constB39)) | (~v102(constB39))))))),
% 6.81/4.75 inference(rewrite,[status(thm)],[])).
% 6.81/4.75 tff(1935,plain,
% 6.81/4.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB38, constB39)) | (v101(constB39) <=> (~((~v102(constB39)) | (~v1(constB39))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB38, constB39)) | (v101(constB39) <=> (~((~v1(constB39)) | (~v102(constB39)))))))),
% 6.81/4.75 inference(monotonicity,[status(thm)],[1934])).
% 6.81/4.75 tff(1936,plain,
% 6.81/4.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB38, constB39)) | (v101(constB39) <=> (~((~v102(constB39)) | (~v1(constB39))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB38, constB39)) | (v101(constB39) <=> (~((~v1(constB39)) | (~v102(constB39))))))),
% 6.81/4.75 inference(transitivity,[status(thm)],[1935, 1933])).
% 6.81/4.75 tff(1937,plain,
% 6.81/4.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB38, constB39)) | (v101(constB39) <=> (~((~v102(constB39)) | (~v1(constB39))))))),
% 6.81/4.75 inference(quant_inst,[status(thm)],[])).
% 6.81/4.75 tff(1938,plain,
% 6.81/4.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB38, constB39)) | (v101(constB39) <=> (~((~v1(constB39)) | (~v102(constB39)))))),
% 6.81/4.75 inference(modus_ponens,[status(thm)],[1937, 1936])).
% 6.81/4.75 tff(1939,plain,
% 6.81/4.75 (v101(constB39) <=> (~((~v1(constB39)) | (~v102(constB39))))),
% 6.81/4.75 inference(unit_resolution,[status(thm)],[1938, 1928, 465])).
% 6.81/4.75 tff(1940,plain,
% 6.81/4.75 ((~v1(constB39)) <=> (~v1(constB39))),
% 6.81/4.75 inference(rewrite,[status(thm)],[])).
% 6.81/4.75 tff(1941,axiom,(~v1(constB39)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_39')).
% 6.81/4.75 tff(1942,plain,
% 6.81/4.75 (~v1(constB39)),
% 6.81/4.75 inference(modus_ponens,[status(thm)],[1941, 1940])).
% 6.81/4.75 tff(1943,plain,
% 6.81/4.75 (((~v1(constB39)) | (~v102(constB39))) | v1(constB39)),
% 6.81/4.75 inference(tautology,[status(thm)],[])).
% 6.81/4.75 tff(1944,plain,
% 6.81/4.75 ((~v1(constB39)) | (~v102(constB39))),
% 6.81/4.75 inference(unit_resolution,[status(thm)],[1943, 1942])).
% 6.81/4.75 tff(1945,plain,
% 6.81/4.75 ((~(v101(constB39) <=> (~((~v1(constB39)) | (~v102(constB39)))))) | (~v101(constB39)) | (~((~v1(constB39)) | (~v102(constB39))))),
% 6.81/4.75 inference(tautology,[status(thm)],[])).
% 6.81/4.75 tff(1946,plain,
% 6.81/4.75 ((~(v101(constB39) <=> (~((~v1(constB39)) | (~v102(constB39)))))) | (~v101(constB39))),
% 6.81/4.75 inference(unit_resolution,[status(thm)],[1945, 1944])).
% 6.81/4.75 tff(1947,plain,
% 6.81/4.75 (~v101(constB39)),
% 6.81/4.75 inference(unit_resolution,[status(thm)],[1946, 1939])).
% 6.81/4.75 tff(1948,plain,
% 6.81/4.75 (((~v101(constB39)) | (~v110(constB39))) | v101(constB39)),
% 6.81/4.75 inference(tautology,[status(thm)],[])).
% 6.81/4.75 tff(1949,plain,
% 6.81/4.75 ((~v101(constB39)) | (~v110(constB39))),
% 6.81/4.75 inference(unit_resolution,[status(thm)],[1948, 1947])).
% 6.81/4.75 tff(1950,plain,
% 6.81/4.75 ((~(v100(constB39) <=> (~((~v101(constB39)) | (~v110(constB39)))))) | (~v100(constB39)) | (~((~v101(constB39)) | (~v110(constB39))))),
% 6.81/4.75 inference(tautology,[status(thm)],[])).
% 6.81/4.75 tff(1951,plain,
% 6.81/4.75 (~v100(constB39)),
% 6.81/4.75 inference(unit_resolution,[status(thm)],[1950, 1949, 1932])).
% 6.81/4.75 tff(1952,plain,
% 6.81/4.75 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB39) | (~nextState(constB38, constB39)) | (~(((~v90(constB39, bitIndex1)) <=> v90(constB38, bitIndex1)) | ((~v90(constB39, bitIndex2)) <=> v90(constB38, bitIndex2)) | ((~v90(constB39, bitIndex0)) <=> v90(constB38, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB39) | (~nextState(constB38, constB39)) | (~(((~v90(constB39, bitIndex1)) <=> v90(constB38, bitIndex1)) | ((~v90(constB39, bitIndex2)) <=> v90(constB38, bitIndex2)) | ((~v90(constB39, bitIndex0)) <=> v90(constB38, bitIndex0)))))),
% 6.81/4.75 inference(rewrite,[status(thm)],[])).
% 6.81/4.75 tff(1953,plain,
% 6.81/4.75 ((v100(constB39) | (~nextState(constB38, constB39)) | (~(((~v90(constB39, bitIndex2)) <=> v90(constB38, bitIndex2)) | ((~v90(constB39, bitIndex1)) <=> v90(constB38, bitIndex1)) | ((~v90(constB39, bitIndex0)) <=> v90(constB38, bitIndex0))))) <=> (v100(constB39) | (~nextState(constB38, constB39)) | (~(((~v90(constB39, bitIndex1)) <=> v90(constB38, bitIndex1)) | ((~v90(constB39, bitIndex2)) <=> v90(constB38, bitIndex2)) | ((~v90(constB39, bitIndex0)) <=> v90(constB38, bitIndex0)))))),
% 6.81/4.75 inference(rewrite,[status(thm)],[])).
% 6.81/4.75 tff(1954,plain,
% 6.81/4.75 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB39) | (~nextState(constB38, constB39)) | (~(((~v90(constB39, bitIndex2)) <=> v90(constB38, bitIndex2)) | ((~v90(constB39, bitIndex1)) <=> v90(constB38, bitIndex1)) | ((~v90(constB39, bitIndex0)) <=> v90(constB38, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB39) | (~nextState(constB38, constB39)) | (~(((~v90(constB39, bitIndex1)) <=> v90(constB38, bitIndex1)) | ((~v90(constB39, bitIndex2)) <=> v90(constB38, bitIndex2)) | ((~v90(constB39, bitIndex0)) <=> v90(constB38, bitIndex0))))))),
% 6.81/4.75 inference(monotonicity,[status(thm)],[1953])).
% 6.81/4.75 tff(1955,plain,
% 6.81/4.75 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB39) | (~nextState(constB38, constB39)) | (~(((~v90(constB39, bitIndex2)) <=> v90(constB38, bitIndex2)) | ((~v90(constB39, bitIndex1)) <=> v90(constB38, bitIndex1)) | ((~v90(constB39, bitIndex0)) <=> v90(constB38, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB39) | (~nextState(constB38, constB39)) | (~(((~v90(constB39, bitIndex1)) <=> v90(constB38, bitIndex1)) | ((~v90(constB39, bitIndex2)) <=> v90(constB38, bitIndex2)) | ((~v90(constB39, bitIndex0)) <=> v90(constB38, bitIndex0)))))),
% 6.81/4.75 inference(transitivity,[status(thm)],[1954, 1952])).
% 6.81/4.75 tff(1956,plain,
% 6.81/4.75 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB39) | (~nextState(constB38, constB39)) | (~(((~v90(constB39, bitIndex2)) <=> v90(constB38, bitIndex2)) | ((~v90(constB39, bitIndex1)) <=> v90(constB38, bitIndex1)) | ((~v90(constB39, bitIndex0)) <=> v90(constB38, bitIndex0)))))),
% 6.81/4.75 inference(quant_inst,[status(thm)],[])).
% 6.81/4.75 tff(1957,plain,
% 6.81/4.75 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB39) | (~nextState(constB38, constB39)) | (~(((~v90(constB39, bitIndex1)) <=> v90(constB38, bitIndex1)) | ((~v90(constB39, bitIndex2)) <=> v90(constB38, bitIndex2)) | ((~v90(constB39, bitIndex0)) <=> v90(constB38, bitIndex0))))),
% 6.81/4.75 inference(modus_ponens,[status(thm)],[1956, 1955])).
% 6.81/4.75 tff(1958,plain,
% 6.81/4.75 (v100(constB39) | (~(((~v90(constB39, bitIndex1)) <=> v90(constB38, bitIndex1)) | ((~v90(constB39, bitIndex2)) <=> v90(constB38, bitIndex2)) | ((~v90(constB39, bitIndex0)) <=> v90(constB38, bitIndex0))))),
% 6.81/4.75 inference(unit_resolution,[status(thm)],[1957, 1928, 494])).
% 6.81/4.75 tff(1959,plain,
% 6.81/4.75 (~(((~v90(constB39, bitIndex1)) <=> v90(constB38, bitIndex1)) | ((~v90(constB39, bitIndex2)) <=> v90(constB38, bitIndex2)) | ((~v90(constB39, bitIndex0)) <=> v90(constB38, bitIndex0)))),
% 6.81/4.75 inference(unit_resolution,[status(thm)],[1958, 1951])).
% 6.81/4.75 tff(1960,plain,
% 6.81/4.75 ((((~v90(constB39, bitIndex1)) <=> v90(constB38, bitIndex1)) | ((~v90(constB39, bitIndex2)) <=> v90(constB38, bitIndex2)) | ((~v90(constB39, bitIndex0)) <=> v90(constB38, bitIndex0))) | (~((~v90(constB39, bitIndex2)) <=> v90(constB38, bitIndex2)))),
% 6.81/4.75 inference(tautology,[status(thm)],[])).
% 6.81/4.75 tff(1961,plain,
% 6.81/4.75 (~((~v90(constB39, bitIndex2)) <=> v90(constB38, bitIndex2))),
% 6.81/4.75 inference(unit_resolution,[status(thm)],[1960, 1959])).
% 6.81/4.75 tff(1962,plain,
% 6.81/4.75 (nextState(constB37, constB38) <=> nextState(constB37, constB38)),
% 6.81/4.75 inference(rewrite,[status(thm)],[])).
% 6.81/4.75 tff(1963,axiom,(nextState(constB37, constB38)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_37')).
% 6.81/4.75 tff(1964,plain,
% 6.81/4.75 (nextState(constB37, constB38)),
% 6.81/4.75 inference(modus_ponens,[status(thm)],[1963, 1962])).
% 6.81/4.75 tff(1965,plain,
% 6.81/4.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB37, constB38)) | (~(((~v129(constB38, bitIndex2)) <=> v127(constB37, bitIndex2)) | ((~v129(constB38, bitIndex1)) <=> v127(constB37, bitIndex1)) | ((~v129(constB38, bitIndex0)) <=> v127(constB37, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB37, constB38)) | (~(((~v129(constB38, bitIndex2)) <=> v127(constB37, bitIndex2)) | ((~v129(constB38, bitIndex1)) <=> v127(constB37, bitIndex1)) | ((~v129(constB38, bitIndex0)) <=> v127(constB37, bitIndex0)))))),
% 6.81/4.75 inference(rewrite,[status(thm)],[])).
% 6.81/4.75 tff(1966,plain,
% 6.81/4.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB37, constB38)) | (~(((~v129(constB38, bitIndex2)) <=> v127(constB37, bitIndex2)) | ((~v129(constB38, bitIndex1)) <=> v127(constB37, bitIndex1)) | ((~v129(constB38, bitIndex0)) <=> v127(constB37, bitIndex0)))))),
% 6.81/4.75 inference(quant_inst,[status(thm)],[])).
% 6.81/4.75 tff(1967,plain,
% 6.81/4.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB37, constB38)) | (~(((~v129(constB38, bitIndex2)) <=> v127(constB37, bitIndex2)) | ((~v129(constB38, bitIndex1)) <=> v127(constB37, bitIndex1)) | ((~v129(constB38, bitIndex0)) <=> v127(constB37, bitIndex0))))),
% 6.81/4.76 inference(modus_ponens,[status(thm)],[1966, 1965])).
% 6.81/4.76 tff(1968,plain,
% 6.81/4.76 (~(((~v129(constB38, bitIndex2)) <=> v127(constB37, bitIndex2)) | ((~v129(constB38, bitIndex1)) <=> v127(constB37, bitIndex1)) | ((~v129(constB38, bitIndex0)) <=> v127(constB37, bitIndex0)))),
% 6.81/4.76 inference(unit_resolution,[status(thm)],[1967, 1964, 517])).
% 6.81/4.76 tff(1969,plain,
% 6.81/4.76 ((((~v129(constB38, bitIndex2)) <=> v127(constB37, bitIndex2)) | ((~v129(constB38, bitIndex1)) <=> v127(constB37, bitIndex1)) | ((~v129(constB38, bitIndex0)) <=> v127(constB37, bitIndex0))) | (~((~v129(constB38, bitIndex2)) <=> v127(constB37, bitIndex2)))),
% 6.81/4.76 inference(tautology,[status(thm)],[])).
% 6.81/4.76 tff(1970,plain,
% 6.81/4.76 (~((~v129(constB38, bitIndex2)) <=> v127(constB37, bitIndex2))),
% 6.81/4.76 inference(unit_resolution,[status(thm)],[1969, 1968])).
% 6.81/4.76 tff(1971,plain,
% 6.81/4.76 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB37) <=> v26(constB37))),
% 6.81/4.76 inference(quant_inst,[status(thm)],[])).
% 6.81/4.76 tff(1972,plain,
% 6.81/4.76 (v111(constB37) <=> v26(constB37)),
% 6.81/4.76 inference(unit_resolution,[status(thm)],[1971, 536])).
% 6.81/4.76 tff(1973,plain,
% 6.81/4.76 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB37))),
% 6.81/4.76 inference(quant_inst,[status(thm)],[])).
% 6.81/4.76 tff(1974,plain,
% 6.81/4.76 (~v26(constB37)),
% 6.81/4.76 inference(unit_resolution,[status(thm)],[1973, 548])).
% 6.81/4.76 tff(1975,plain,
% 6.81/4.76 ((~(v111(constB37) <=> v26(constB37))) | (~v111(constB37)) | v26(constB37)),
% 6.81/4.76 inference(tautology,[status(thm)],[])).
% 6.81/4.76 tff(1976,plain,
% 6.81/4.76 ((~(v111(constB37) <=> v26(constB37))) | (~v111(constB37))),
% 6.81/4.76 inference(unit_resolution,[status(thm)],[1975, 1974])).
% 6.81/4.76 tff(1977,plain,
% 6.81/4.76 (~v111(constB37)),
% 6.81/4.76 inference(unit_resolution,[status(thm)],[1976, 1972])).
% 6.81/4.76 tff(1978,plain,
% 6.81/4.76 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB37) | (~(((~v127(constB37, bitIndex2)) <=> v130(constB37, bitIndex2)) | ((~v127(constB37, bitIndex1)) <=> v130(constB37, bitIndex1)) | ((~v127(constB37, bitIndex0)) <=> v130(constB37, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB37) | (~(((~v127(constB37, bitIndex2)) <=> v130(constB37, bitIndex2)) | ((~v127(constB37, bitIndex1)) <=> v130(constB37, bitIndex1)) | ((~v127(constB37, bitIndex0)) <=> v130(constB37, bitIndex0)))))),
% 6.81/4.76 inference(rewrite,[status(thm)],[])).
% 6.81/4.76 tff(1979,plain,
% 6.81/4.76 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB37) | (~(((~v127(constB37, bitIndex2)) <=> v130(constB37, bitIndex2)) | ((~v127(constB37, bitIndex1)) <=> v130(constB37, bitIndex1)) | ((~v127(constB37, bitIndex0)) <=> v130(constB37, bitIndex0)))))),
% 6.81/4.76 inference(quant_inst,[status(thm)],[])).
% 6.81/4.76 tff(1980,plain,
% 6.81/4.76 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB37) | (~(((~v127(constB37, bitIndex2)) <=> v130(constB37, bitIndex2)) | ((~v127(constB37, bitIndex1)) <=> v130(constB37, bitIndex1)) | ((~v127(constB37, bitIndex0)) <=> v130(constB37, bitIndex0))))),
% 6.81/4.76 inference(modus_ponens,[status(thm)],[1979, 1978])).
% 6.81/4.76 tff(1981,plain,
% 6.81/4.76 (v111(constB37) | (~(((~v127(constB37, bitIndex2)) <=> v130(constB37, bitIndex2)) | ((~v127(constB37, bitIndex1)) <=> v130(constB37, bitIndex1)) | ((~v127(constB37, bitIndex0)) <=> v130(constB37, bitIndex0))))),
% 6.81/4.76 inference(unit_resolution,[status(thm)],[1980, 566])).
% 6.81/4.76 tff(1982,plain,
% 6.81/4.76 (~(((~v127(constB37, bitIndex2)) <=> v130(constB37, bitIndex2)) | ((~v127(constB37, bitIndex1)) <=> v130(constB37, bitIndex1)) | ((~v127(constB37, bitIndex0)) <=> v130(constB37, bitIndex0)))),
% 6.81/4.76 inference(unit_resolution,[status(thm)],[1981, 1977])).
% 6.81/4.76 tff(1983,plain,
% 6.81/4.76 ((((~v127(constB37, bitIndex2)) <=> v130(constB37, bitIndex2)) | ((~v127(constB37, bitIndex1)) <=> v130(constB37, bitIndex1)) | ((~v127(constB37, bitIndex0)) <=> v130(constB37, bitIndex0))) | (~((~v127(constB37, bitIndex2)) <=> v130(constB37, bitIndex2)))),
% 6.81/4.76 inference(tautology,[status(thm)],[])).
% 6.81/4.76 tff(1984,plain,
% 6.81/4.76 (~((~v127(constB37, bitIndex2)) <=> v130(constB37, bitIndex2))),
% 6.81/4.76 inference(unit_resolution,[status(thm)],[1983, 1982])).
% 6.81/4.76 tff(1985,plain,
% 6.81/4.76 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB37) <=> (~(v90(constB37, bitIndex1) | v90(constB37, bitIndex2) | (~v90(constB37, bitIndex0)))))),
% 6.81/4.76 inference(quant_inst,[status(thm)],[])).
% 6.81/4.76 tff(1986,plain,
% 6.81/4.76 (v120(constB37) <=> (~(v90(constB37, bitIndex1) | v90(constB37, bitIndex2) | (~v90(constB37, bitIndex0))))),
% 6.81/4.76 inference(unit_resolution,[status(thm)],[1985, 665])).
% 6.81/4.76 tff(1987,plain,
% 6.81/4.76 (nextState(constB36, constB37) <=> nextState(constB36, constB37)),
% 6.81/4.76 inference(rewrite,[status(thm)],[])).
% 6.81/4.76 tff(1988,axiom,(nextState(constB36, constB37)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_36')).
% 6.81/4.76 tff(1989,plain,
% 6.81/4.76 (nextState(constB36, constB37)),
% 6.81/4.76 inference(modus_ponens,[status(thm)],[1988, 1987])).
% 6.81/4.76 tff(1990,plain,
% 6.81/4.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB36, constB37)) | (v100(constB37) <=> (~((~v101(constB37)) | (~v110(constB37))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB36, constB37)) | (v100(constB37) <=> (~((~v101(constB37)) | (~v110(constB37))))))),
% 6.81/4.76 inference(rewrite,[status(thm)],[])).
% 6.81/4.76 tff(1991,plain,
% 6.81/4.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB36, constB37)) | (v100(constB37) <=> (~((~v101(constB37)) | (~v110(constB37))))))),
% 6.81/4.76 inference(quant_inst,[status(thm)],[])).
% 6.81/4.76 tff(1992,plain,
% 6.81/4.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB36, constB37)) | (v100(constB37) <=> (~((~v101(constB37)) | (~v110(constB37)))))),
% 6.81/4.76 inference(modus_ponens,[status(thm)],[1991, 1990])).
% 6.81/4.76 tff(1993,plain,
% 6.81/4.76 (v100(constB37) <=> (~((~v101(constB37)) | (~v110(constB37))))),
% 6.81/4.76 inference(unit_resolution,[status(thm)],[1992, 1989, 445])).
% 6.81/4.76 tff(1994,plain,
% 6.81/4.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB36, constB37)) | (v101(constB37) <=> (~((~v1(constB37)) | (~v102(constB37))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB36, constB37)) | (v101(constB37) <=> (~((~v1(constB37)) | (~v102(constB37))))))),
% 6.81/4.76 inference(rewrite,[status(thm)],[])).
% 6.81/4.76 tff(1995,plain,
% 6.81/4.76 (((~nextState(constB36, constB37)) | (v101(constB37) <=> (~((~v102(constB37)) | (~v1(constB37)))))) <=> ((~nextState(constB36, constB37)) | (v101(constB37) <=> (~((~v1(constB37)) | (~v102(constB37))))))),
% 6.81/4.76 inference(rewrite,[status(thm)],[])).
% 6.81/4.76 tff(1996,plain,
% 6.81/4.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB36, constB37)) | (v101(constB37) <=> (~((~v102(constB37)) | (~v1(constB37))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB36, constB37)) | (v101(constB37) <=> (~((~v1(constB37)) | (~v102(constB37)))))))),
% 6.81/4.76 inference(monotonicity,[status(thm)],[1995])).
% 6.81/4.76 tff(1997,plain,
% 6.81/4.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB36, constB37)) | (v101(constB37) <=> (~((~v102(constB37)) | (~v1(constB37))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB36, constB37)) | (v101(constB37) <=> (~((~v1(constB37)) | (~v102(constB37))))))),
% 6.81/4.76 inference(transitivity,[status(thm)],[1996, 1994])).
% 6.81/4.76 tff(1998,plain,
% 6.81/4.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB36, constB37)) | (v101(constB37) <=> (~((~v102(constB37)) | (~v1(constB37))))))),
% 6.81/4.76 inference(quant_inst,[status(thm)],[])).
% 6.81/4.76 tff(1999,plain,
% 6.81/4.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB36, constB37)) | (v101(constB37) <=> (~((~v1(constB37)) | (~v102(constB37)))))),
% 6.81/4.76 inference(modus_ponens,[status(thm)],[1998, 1997])).
% 6.81/4.76 tff(2000,plain,
% 6.81/4.76 (v101(constB37) <=> (~((~v1(constB37)) | (~v102(constB37))))),
% 6.81/4.76 inference(unit_resolution,[status(thm)],[1999, 1989, 465])).
% 6.81/4.76 tff(2001,plain,
% 6.81/4.76 ((~v1(constB37)) <=> (~v1(constB37))),
% 6.81/4.76 inference(rewrite,[status(thm)],[])).
% 6.81/4.76 tff(2002,axiom,(~v1(constB37)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_37')).
% 6.81/4.76 tff(2003,plain,
% 6.81/4.76 (~v1(constB37)),
% 6.81/4.76 inference(modus_ponens,[status(thm)],[2002, 2001])).
% 6.81/4.76 tff(2004,plain,
% 6.81/4.76 (((~v1(constB37)) | (~v102(constB37))) | v1(constB37)),
% 6.81/4.76 inference(tautology,[status(thm)],[])).
% 6.81/4.76 tff(2005,plain,
% 6.81/4.76 ((~v1(constB37)) | (~v102(constB37))),
% 6.81/4.76 inference(unit_resolution,[status(thm)],[2004, 2003])).
% 6.81/4.76 tff(2006,plain,
% 6.81/4.76 ((~(v101(constB37) <=> (~((~v1(constB37)) | (~v102(constB37)))))) | (~v101(constB37)) | (~((~v1(constB37)) | (~v102(constB37))))),
% 6.81/4.76 inference(tautology,[status(thm)],[])).
% 6.81/4.76 tff(2007,plain,
% 6.81/4.76 ((~(v101(constB37) <=> (~((~v1(constB37)) | (~v102(constB37)))))) | (~v101(constB37))),
% 6.81/4.76 inference(unit_resolution,[status(thm)],[2006, 2005])).
% 6.81/4.76 tff(2008,plain,
% 6.81/4.76 (~v101(constB37)),
% 6.81/4.76 inference(unit_resolution,[status(thm)],[2007, 2000])).
% 6.81/4.76 tff(2009,plain,
% 6.81/4.76 (((~v101(constB37)) | (~v110(constB37))) | v101(constB37)),
% 6.81/4.76 inference(tautology,[status(thm)],[])).
% 6.81/4.76 tff(2010,plain,
% 6.81/4.76 ((~v101(constB37)) | (~v110(constB37))),
% 6.81/4.76 inference(unit_resolution,[status(thm)],[2009, 2008])).
% 6.81/4.76 tff(2011,plain,
% 6.81/4.76 ((~(v100(constB37) <=> (~((~v101(constB37)) | (~v110(constB37)))))) | (~v100(constB37)) | (~((~v101(constB37)) | (~v110(constB37))))),
% 6.81/4.76 inference(tautology,[status(thm)],[])).
% 6.81/4.76 tff(2012,plain,
% 6.81/4.76 (~v100(constB37)),
% 6.81/4.76 inference(unit_resolution,[status(thm)],[2011, 2010, 1993])).
% 6.81/4.76 tff(2013,plain,
% 6.81/4.76 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB37) | (~nextState(constB36, constB37)) | (~(((~v90(constB37, bitIndex1)) <=> v90(constB36, bitIndex1)) | ((~v90(constB37, bitIndex2)) <=> v90(constB36, bitIndex2)) | ((~v90(constB37, bitIndex0)) <=> v90(constB36, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB37) | (~nextState(constB36, constB37)) | (~(((~v90(constB37, bitIndex1)) <=> v90(constB36, bitIndex1)) | ((~v90(constB37, bitIndex2)) <=> v90(constB36, bitIndex2)) | ((~v90(constB37, bitIndex0)) <=> v90(constB36, bitIndex0)))))),
% 6.81/4.76 inference(rewrite,[status(thm)],[])).
% 6.81/4.76 tff(2014,plain,
% 6.81/4.76 ((v100(constB37) | (~nextState(constB36, constB37)) | (~(((~v90(constB37, bitIndex2)) <=> v90(constB36, bitIndex2)) | ((~v90(constB37, bitIndex1)) <=> v90(constB36, bitIndex1)) | ((~v90(constB37, bitIndex0)) <=> v90(constB36, bitIndex0))))) <=> (v100(constB37) | (~nextState(constB36, constB37)) | (~(((~v90(constB37, bitIndex1)) <=> v90(constB36, bitIndex1)) | ((~v90(constB37, bitIndex2)) <=> v90(constB36, bitIndex2)) | ((~v90(constB37, bitIndex0)) <=> v90(constB36, bitIndex0)))))),
% 6.81/4.76 inference(rewrite,[status(thm)],[])).
% 6.81/4.76 tff(2015,plain,
% 6.81/4.76 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB37) | (~nextState(constB36, constB37)) | (~(((~v90(constB37, bitIndex2)) <=> v90(constB36, bitIndex2)) | ((~v90(constB37, bitIndex1)) <=> v90(constB36, bitIndex1)) | ((~v90(constB37, bitIndex0)) <=> v90(constB36, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB37) | (~nextState(constB36, constB37)) | (~(((~v90(constB37, bitIndex1)) <=> v90(constB36, bitIndex1)) | ((~v90(constB37, bitIndex2)) <=> v90(constB36, bitIndex2)) | ((~v90(constB37, bitIndex0)) <=> v90(constB36, bitIndex0))))))),
% 6.81/4.76 inference(monotonicity,[status(thm)],[2014])).
% 6.81/4.76 tff(2016,plain,
% 6.81/4.76 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB37) | (~nextState(constB36, constB37)) | (~(((~v90(constB37, bitIndex2)) <=> v90(constB36, bitIndex2)) | ((~v90(constB37, bitIndex1)) <=> v90(constB36, bitIndex1)) | ((~v90(constB37, bitIndex0)) <=> v90(constB36, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB37) | (~nextState(constB36, constB37)) | (~(((~v90(constB37, bitIndex1)) <=> v90(constB36, bitIndex1)) | ((~v90(constB37, bitIndex2)) <=> v90(constB36, bitIndex2)) | ((~v90(constB37, bitIndex0)) <=> v90(constB36, bitIndex0)))))),
% 6.81/4.76 inference(transitivity,[status(thm)],[2015, 2013])).
% 6.81/4.76 tff(2017,plain,
% 6.81/4.76 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB37) | (~nextState(constB36, constB37)) | (~(((~v90(constB37, bitIndex2)) <=> v90(constB36, bitIndex2)) | ((~v90(constB37, bitIndex1)) <=> v90(constB36, bitIndex1)) | ((~v90(constB37, bitIndex0)) <=> v90(constB36, bitIndex0)))))),
% 6.81/4.76 inference(quant_inst,[status(thm)],[])).
% 6.81/4.76 tff(2018,plain,
% 6.81/4.76 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB37) | (~nextState(constB36, constB37)) | (~(((~v90(constB37, bitIndex1)) <=> v90(constB36, bitIndex1)) | ((~v90(constB37, bitIndex2)) <=> v90(constB36, bitIndex2)) | ((~v90(constB37, bitIndex0)) <=> v90(constB36, bitIndex0))))),
% 6.81/4.76 inference(modus_ponens,[status(thm)],[2017, 2016])).
% 6.81/4.76 tff(2019,plain,
% 6.81/4.76 (v100(constB37) | (~(((~v90(constB37, bitIndex1)) <=> v90(constB36, bitIndex1)) | ((~v90(constB37, bitIndex2)) <=> v90(constB36, bitIndex2)) | ((~v90(constB37, bitIndex0)) <=> v90(constB36, bitIndex0))))),
% 6.81/4.76 inference(unit_resolution,[status(thm)],[2018, 1989, 494])).
% 6.81/4.76 tff(2020,plain,
% 6.81/4.76 (~(((~v90(constB37, bitIndex1)) <=> v90(constB36, bitIndex1)) | ((~v90(constB37, bitIndex2)) <=> v90(constB36, bitIndex2)) | ((~v90(constB37, bitIndex0)) <=> v90(constB36, bitIndex0)))),
% 6.81/4.76 inference(unit_resolution,[status(thm)],[2019, 2012])).
% 6.81/4.76 tff(2021,plain,
% 6.81/4.76 ((((~v90(constB37, bitIndex1)) <=> v90(constB36, bitIndex1)) | ((~v90(constB37, bitIndex2)) <=> v90(constB36, bitIndex2)) | ((~v90(constB37, bitIndex0)) <=> v90(constB36, bitIndex0))) | (~((~v90(constB37, bitIndex2)) <=> v90(constB36, bitIndex2)))),
% 6.81/4.76 inference(tautology,[status(thm)],[])).
% 6.81/4.76 tff(2022,plain,
% 6.81/4.76 (~((~v90(constB37, bitIndex2)) <=> v90(constB36, bitIndex2))),
% 6.81/4.76 inference(unit_resolution,[status(thm)],[2021, 2020])).
% 6.81/4.76 tff(2023,plain,
% 6.81/4.76 (nextState(constB35, constB36) <=> nextState(constB35, constB36)),
% 6.81/4.76 inference(rewrite,[status(thm)],[])).
% 6.81/4.76 tff(2024,axiom,(nextState(constB35, constB36)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_35')).
% 6.81/4.76 tff(2025,plain,
% 6.81/4.76 (nextState(constB35, constB36)),
% 6.81/4.76 inference(modus_ponens,[status(thm)],[2024, 2023])).
% 6.81/4.76 tff(2026,plain,
% 6.81/4.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB35, constB36)) | (~(((~v129(constB36, bitIndex2)) <=> v127(constB35, bitIndex2)) | ((~v129(constB36, bitIndex1)) <=> v127(constB35, bitIndex1)) | ((~v129(constB36, bitIndex0)) <=> v127(constB35, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB35, constB36)) | (~(((~v129(constB36, bitIndex2)) <=> v127(constB35, bitIndex2)) | ((~v129(constB36, bitIndex1)) <=> v127(constB35, bitIndex1)) | ((~v129(constB36, bitIndex0)) <=> v127(constB35, bitIndex0)))))),
% 6.81/4.76 inference(rewrite,[status(thm)],[])).
% 6.81/4.76 tff(2027,plain,
% 6.81/4.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB35, constB36)) | (~(((~v129(constB36, bitIndex2)) <=> v127(constB35, bitIndex2)) | ((~v129(constB36, bitIndex1)) <=> v127(constB35, bitIndex1)) | ((~v129(constB36, bitIndex0)) <=> v127(constB35, bitIndex0)))))),
% 6.81/4.76 inference(quant_inst,[status(thm)],[])).
% 6.81/4.76 tff(2028,plain,
% 6.81/4.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB35, constB36)) | (~(((~v129(constB36, bitIndex2)) <=> v127(constB35, bitIndex2)) | ((~v129(constB36, bitIndex1)) <=> v127(constB35, bitIndex1)) | ((~v129(constB36, bitIndex0)) <=> v127(constB35, bitIndex0))))),
% 6.81/4.76 inference(modus_ponens,[status(thm)],[2027, 2026])).
% 6.81/4.76 tff(2029,plain,
% 6.81/4.76 (~(((~v129(constB36, bitIndex2)) <=> v127(constB35, bitIndex2)) | ((~v129(constB36, bitIndex1)) <=> v127(constB35, bitIndex1)) | ((~v129(constB36, bitIndex0)) <=> v127(constB35, bitIndex0)))),
% 6.81/4.76 inference(unit_resolution,[status(thm)],[2028, 2025, 517])).
% 6.81/4.76 tff(2030,plain,
% 6.81/4.76 ((((~v129(constB36, bitIndex2)) <=> v127(constB35, bitIndex2)) | ((~v129(constB36, bitIndex1)) <=> v127(constB35, bitIndex1)) | ((~v129(constB36, bitIndex0)) <=> v127(constB35, bitIndex0))) | (~((~v129(constB36, bitIndex2)) <=> v127(constB35, bitIndex2)))),
% 6.81/4.76 inference(tautology,[status(thm)],[])).
% 6.81/4.76 tff(2031,plain,
% 6.81/4.76 (~((~v129(constB36, bitIndex2)) <=> v127(constB35, bitIndex2))),
% 6.81/4.76 inference(unit_resolution,[status(thm)],[2030, 2029])).
% 6.81/4.76 tff(2032,plain,
% 6.81/4.76 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB35) <=> v26(constB35))),
% 6.81/4.76 inference(quant_inst,[status(thm)],[])).
% 6.81/4.76 tff(2033,plain,
% 6.81/4.76 (v111(constB35) <=> v26(constB35)),
% 6.81/4.76 inference(unit_resolution,[status(thm)],[2032, 536])).
% 6.81/4.76 tff(2034,plain,
% 6.81/4.76 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB35))),
% 6.81/4.76 inference(quant_inst,[status(thm)],[])).
% 6.81/4.76 tff(2035,plain,
% 6.81/4.76 (~v26(constB35)),
% 6.81/4.76 inference(unit_resolution,[status(thm)],[2034, 548])).
% 6.81/4.76 tff(2036,plain,
% 6.81/4.76 ((~(v111(constB35) <=> v26(constB35))) | (~v111(constB35)) | v26(constB35)),
% 6.81/4.76 inference(tautology,[status(thm)],[])).
% 6.81/4.76 tff(2037,plain,
% 6.81/4.76 ((~(v111(constB35) <=> v26(constB35))) | (~v111(constB35))),
% 6.81/4.76 inference(unit_resolution,[status(thm)],[2036, 2035])).
% 6.81/4.76 tff(2038,plain,
% 6.81/4.76 (~v111(constB35)),
% 6.81/4.76 inference(unit_resolution,[status(thm)],[2037, 2033])).
% 6.81/4.76 tff(2039,plain,
% 6.81/4.76 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB35) | (~(((~v127(constB35, bitIndex2)) <=> v130(constB35, bitIndex2)) | ((~v127(constB35, bitIndex1)) <=> v130(constB35, bitIndex1)) | ((~v127(constB35, bitIndex0)) <=> v130(constB35, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB35) | (~(((~v127(constB35, bitIndex2)) <=> v130(constB35, bitIndex2)) | ((~v127(constB35, bitIndex1)) <=> v130(constB35, bitIndex1)) | ((~v127(constB35, bitIndex0)) <=> v130(constB35, bitIndex0)))))),
% 6.81/4.76 inference(rewrite,[status(thm)],[])).
% 6.81/4.76 tff(2040,plain,
% 6.81/4.76 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB35) | (~(((~v127(constB35, bitIndex2)) <=> v130(constB35, bitIndex2)) | ((~v127(constB35, bitIndex1)) <=> v130(constB35, bitIndex1)) | ((~v127(constB35, bitIndex0)) <=> v130(constB35, bitIndex0)))))),
% 6.81/4.76 inference(quant_inst,[status(thm)],[])).
% 6.81/4.76 tff(2041,plain,
% 6.81/4.76 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB35) | (~(((~v127(constB35, bitIndex2)) <=> v130(constB35, bitIndex2)) | ((~v127(constB35, bitIndex1)) <=> v130(constB35, bitIndex1)) | ((~v127(constB35, bitIndex0)) <=> v130(constB35, bitIndex0))))),
% 6.81/4.76 inference(modus_ponens,[status(thm)],[2040, 2039])).
% 6.81/4.76 tff(2042,plain,
% 6.81/4.76 (v111(constB35) | (~(((~v127(constB35, bitIndex2)) <=> v130(constB35, bitIndex2)) | ((~v127(constB35, bitIndex1)) <=> v130(constB35, bitIndex1)) | ((~v127(constB35, bitIndex0)) <=> v130(constB35, bitIndex0))))),
% 6.81/4.76 inference(unit_resolution,[status(thm)],[2041, 566])).
% 6.81/4.76 tff(2043,plain,
% 6.81/4.76 (~(((~v127(constB35, bitIndex2)) <=> v130(constB35, bitIndex2)) | ((~v127(constB35, bitIndex1)) <=> v130(constB35, bitIndex1)) | ((~v127(constB35, bitIndex0)) <=> v130(constB35, bitIndex0)))),
% 6.81/4.76 inference(unit_resolution,[status(thm)],[2042, 2038])).
% 6.81/4.76 tff(2044,plain,
% 6.81/4.76 ((((~v127(constB35, bitIndex2)) <=> v130(constB35, bitIndex2)) | ((~v127(constB35, bitIndex1)) <=> v130(constB35, bitIndex1)) | ((~v127(constB35, bitIndex0)) <=> v130(constB35, bitIndex0))) | (~((~v127(constB35, bitIndex2)) <=> v130(constB35, bitIndex2)))),
% 6.81/4.76 inference(tautology,[status(thm)],[])).
% 6.81/4.76 tff(2045,plain,
% 6.81/4.76 (~((~v127(constB35, bitIndex2)) <=> v130(constB35, bitIndex2))),
% 6.81/4.76 inference(unit_resolution,[status(thm)],[2044, 2043])).
% 6.81/4.76 tff(2046,plain,
% 6.81/4.76 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB35) <=> (~(v90(constB35, bitIndex1) | v90(constB35, bitIndex2) | (~v90(constB35, bitIndex0)))))),
% 6.81/4.76 inference(quant_inst,[status(thm)],[])).
% 6.81/4.76 tff(2047,plain,
% 6.81/4.76 (v120(constB35) <=> (~(v90(constB35, bitIndex1) | v90(constB35, bitIndex2) | (~v90(constB35, bitIndex0))))),
% 6.81/4.76 inference(unit_resolution,[status(thm)],[2046, 665])).
% 6.81/4.76 tff(2048,plain,
% 6.81/4.76 (nextState(constB34, constB35) <=> nextState(constB34, constB35)),
% 6.81/4.76 inference(rewrite,[status(thm)],[])).
% 6.81/4.76 tff(2049,axiom,(nextState(constB34, constB35)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_34')).
% 6.81/4.76 tff(2050,plain,
% 6.81/4.76 (nextState(constB34, constB35)),
% 6.81/4.76 inference(modus_ponens,[status(thm)],[2049, 2048])).
% 6.81/4.76 tff(2051,plain,
% 6.81/4.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB34, constB35)) | (v100(constB35) <=> (~((~v101(constB35)) | (~v110(constB35))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB34, constB35)) | (v100(constB35) <=> (~((~v101(constB35)) | (~v110(constB35))))))),
% 6.81/4.76 inference(rewrite,[status(thm)],[])).
% 6.81/4.76 tff(2052,plain,
% 6.81/4.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB34, constB35)) | (v100(constB35) <=> (~((~v101(constB35)) | (~v110(constB35))))))),
% 6.81/4.76 inference(quant_inst,[status(thm)],[])).
% 6.81/4.76 tff(2053,plain,
% 6.81/4.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB34, constB35)) | (v100(constB35) <=> (~((~v101(constB35)) | (~v110(constB35)))))),
% 6.81/4.76 inference(modus_ponens,[status(thm)],[2052, 2051])).
% 6.81/4.76 tff(2054,plain,
% 6.81/4.76 (v100(constB35) <=> (~((~v101(constB35)) | (~v110(constB35))))),
% 6.81/4.76 inference(unit_resolution,[status(thm)],[2053, 2050, 445])).
% 6.81/4.76 tff(2055,plain,
% 6.81/4.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB34, constB35)) | (v101(constB35) <=> (~((~v1(constB35)) | (~v102(constB35))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB34, constB35)) | (v101(constB35) <=> (~((~v1(constB35)) | (~v102(constB35))))))),
% 6.81/4.76 inference(rewrite,[status(thm)],[])).
% 6.81/4.76 tff(2056,plain,
% 6.81/4.76 (((~nextState(constB34, constB35)) | (v101(constB35) <=> (~((~v102(constB35)) | (~v1(constB35)))))) <=> ((~nextState(constB34, constB35)) | (v101(constB35) <=> (~((~v1(constB35)) | (~v102(constB35))))))),
% 6.81/4.76 inference(rewrite,[status(thm)],[])).
% 6.81/4.76 tff(2057,plain,
% 6.81/4.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB34, constB35)) | (v101(constB35) <=> (~((~v102(constB35)) | (~v1(constB35))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB34, constB35)) | (v101(constB35) <=> (~((~v1(constB35)) | (~v102(constB35)))))))),
% 6.81/4.76 inference(monotonicity,[status(thm)],[2056])).
% 6.81/4.76 tff(2058,plain,
% 6.81/4.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB34, constB35)) | (v101(constB35) <=> (~((~v102(constB35)) | (~v1(constB35))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB34, constB35)) | (v101(constB35) <=> (~((~v1(constB35)) | (~v102(constB35))))))),
% 6.81/4.76 inference(transitivity,[status(thm)],[2057, 2055])).
% 6.81/4.76 tff(2059,plain,
% 6.81/4.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB34, constB35)) | (v101(constB35) <=> (~((~v102(constB35)) | (~v1(constB35))))))),
% 6.81/4.77 inference(quant_inst,[status(thm)],[])).
% 6.81/4.77 tff(2060,plain,
% 6.81/4.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB34, constB35)) | (v101(constB35) <=> (~((~v1(constB35)) | (~v102(constB35)))))),
% 6.81/4.77 inference(modus_ponens,[status(thm)],[2059, 2058])).
% 6.81/4.77 tff(2061,plain,
% 6.81/4.77 (v101(constB35) <=> (~((~v1(constB35)) | (~v102(constB35))))),
% 6.81/4.77 inference(unit_resolution,[status(thm)],[2060, 2050, 465])).
% 6.81/4.77 tff(2062,plain,
% 6.81/4.77 ((~v1(constB35)) <=> (~v1(constB35))),
% 6.81/4.77 inference(rewrite,[status(thm)],[])).
% 6.81/4.77 tff(2063,axiom,(~v1(constB35)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_35')).
% 6.81/4.77 tff(2064,plain,
% 6.81/4.77 (~v1(constB35)),
% 6.81/4.77 inference(modus_ponens,[status(thm)],[2063, 2062])).
% 6.81/4.77 tff(2065,plain,
% 6.81/4.77 (((~v1(constB35)) | (~v102(constB35))) | v1(constB35)),
% 6.81/4.77 inference(tautology,[status(thm)],[])).
% 6.81/4.77 tff(2066,plain,
% 6.81/4.77 ((~v1(constB35)) | (~v102(constB35))),
% 6.81/4.77 inference(unit_resolution,[status(thm)],[2065, 2064])).
% 6.81/4.77 tff(2067,plain,
% 6.81/4.77 ((~(v101(constB35) <=> (~((~v1(constB35)) | (~v102(constB35)))))) | (~v101(constB35)) | (~((~v1(constB35)) | (~v102(constB35))))),
% 6.81/4.77 inference(tautology,[status(thm)],[])).
% 6.81/4.77 tff(2068,plain,
% 6.81/4.77 ((~(v101(constB35) <=> (~((~v1(constB35)) | (~v102(constB35)))))) | (~v101(constB35))),
% 6.81/4.77 inference(unit_resolution,[status(thm)],[2067, 2066])).
% 6.81/4.77 tff(2069,plain,
% 6.81/4.77 (~v101(constB35)),
% 6.81/4.77 inference(unit_resolution,[status(thm)],[2068, 2061])).
% 6.81/4.77 tff(2070,plain,
% 6.81/4.77 (((~v101(constB35)) | (~v110(constB35))) | v101(constB35)),
% 6.81/4.77 inference(tautology,[status(thm)],[])).
% 6.81/4.77 tff(2071,plain,
% 6.81/4.77 ((~v101(constB35)) | (~v110(constB35))),
% 6.81/4.77 inference(unit_resolution,[status(thm)],[2070, 2069])).
% 6.81/4.77 tff(2072,plain,
% 6.81/4.77 ((~(v100(constB35) <=> (~((~v101(constB35)) | (~v110(constB35)))))) | (~v100(constB35)) | (~((~v101(constB35)) | (~v110(constB35))))),
% 6.81/4.77 inference(tautology,[status(thm)],[])).
% 6.81/4.77 tff(2073,plain,
% 6.81/4.77 (~v100(constB35)),
% 6.81/4.77 inference(unit_resolution,[status(thm)],[2072, 2071, 2054])).
% 6.81/4.77 tff(2074,plain,
% 6.81/4.77 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB35) | (~nextState(constB34, constB35)) | (~(((~v90(constB35, bitIndex1)) <=> v90(constB34, bitIndex1)) | ((~v90(constB35, bitIndex2)) <=> v90(constB34, bitIndex2)) | ((~v90(constB35, bitIndex0)) <=> v90(constB34, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB35) | (~nextState(constB34, constB35)) | (~(((~v90(constB35, bitIndex1)) <=> v90(constB34, bitIndex1)) | ((~v90(constB35, bitIndex2)) <=> v90(constB34, bitIndex2)) | ((~v90(constB35, bitIndex0)) <=> v90(constB34, bitIndex0)))))),
% 6.81/4.77 inference(rewrite,[status(thm)],[])).
% 6.81/4.77 tff(2075,plain,
% 6.81/4.77 ((v100(constB35) | (~nextState(constB34, constB35)) | (~(((~v90(constB35, bitIndex2)) <=> v90(constB34, bitIndex2)) | ((~v90(constB35, bitIndex1)) <=> v90(constB34, bitIndex1)) | ((~v90(constB35, bitIndex0)) <=> v90(constB34, bitIndex0))))) <=> (v100(constB35) | (~nextState(constB34, constB35)) | (~(((~v90(constB35, bitIndex1)) <=> v90(constB34, bitIndex1)) | ((~v90(constB35, bitIndex2)) <=> v90(constB34, bitIndex2)) | ((~v90(constB35, bitIndex0)) <=> v90(constB34, bitIndex0)))))),
% 6.81/4.77 inference(rewrite,[status(thm)],[])).
% 6.81/4.77 tff(2076,plain,
% 6.81/4.77 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB35) | (~nextState(constB34, constB35)) | (~(((~v90(constB35, bitIndex2)) <=> v90(constB34, bitIndex2)) | ((~v90(constB35, bitIndex1)) <=> v90(constB34, bitIndex1)) | ((~v90(constB35, bitIndex0)) <=> v90(constB34, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB35) | (~nextState(constB34, constB35)) | (~(((~v90(constB35, bitIndex1)) <=> v90(constB34, bitIndex1)) | ((~v90(constB35, bitIndex2)) <=> v90(constB34, bitIndex2)) | ((~v90(constB35, bitIndex0)) <=> v90(constB34, bitIndex0))))))),
% 6.81/4.77 inference(monotonicity,[status(thm)],[2075])).
% 6.81/4.77 tff(2077,plain,
% 6.81/4.77 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB35) | (~nextState(constB34, constB35)) | (~(((~v90(constB35, bitIndex2)) <=> v90(constB34, bitIndex2)) | ((~v90(constB35, bitIndex1)) <=> v90(constB34, bitIndex1)) | ((~v90(constB35, bitIndex0)) <=> v90(constB34, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB35) | (~nextState(constB34, constB35)) | (~(((~v90(constB35, bitIndex1)) <=> v90(constB34, bitIndex1)) | ((~v90(constB35, bitIndex2)) <=> v90(constB34, bitIndex2)) | ((~v90(constB35, bitIndex0)) <=> v90(constB34, bitIndex0)))))),
% 6.81/4.77 inference(transitivity,[status(thm)],[2076, 2074])).
% 6.81/4.77 tff(2078,plain,
% 6.81/4.77 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB35) | (~nextState(constB34, constB35)) | (~(((~v90(constB35, bitIndex2)) <=> v90(constB34, bitIndex2)) | ((~v90(constB35, bitIndex1)) <=> v90(constB34, bitIndex1)) | ((~v90(constB35, bitIndex0)) <=> v90(constB34, bitIndex0)))))),
% 6.81/4.77 inference(quant_inst,[status(thm)],[])).
% 6.81/4.77 tff(2079,plain,
% 6.81/4.77 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB35) | (~nextState(constB34, constB35)) | (~(((~v90(constB35, bitIndex1)) <=> v90(constB34, bitIndex1)) | ((~v90(constB35, bitIndex2)) <=> v90(constB34, bitIndex2)) | ((~v90(constB35, bitIndex0)) <=> v90(constB34, bitIndex0))))),
% 6.81/4.77 inference(modus_ponens,[status(thm)],[2078, 2077])).
% 6.81/4.77 tff(2080,plain,
% 6.81/4.77 (v100(constB35) | (~(((~v90(constB35, bitIndex1)) <=> v90(constB34, bitIndex1)) | ((~v90(constB35, bitIndex2)) <=> v90(constB34, bitIndex2)) | ((~v90(constB35, bitIndex0)) <=> v90(constB34, bitIndex0))))),
% 6.81/4.77 inference(unit_resolution,[status(thm)],[2079, 2050, 494])).
% 6.81/4.77 tff(2081,plain,
% 6.81/4.77 (~(((~v90(constB35, bitIndex1)) <=> v90(constB34, bitIndex1)) | ((~v90(constB35, bitIndex2)) <=> v90(constB34, bitIndex2)) | ((~v90(constB35, bitIndex0)) <=> v90(constB34, bitIndex0)))),
% 6.81/4.77 inference(unit_resolution,[status(thm)],[2080, 2073])).
% 6.81/4.77 tff(2082,plain,
% 6.81/4.77 ((((~v90(constB35, bitIndex1)) <=> v90(constB34, bitIndex1)) | ((~v90(constB35, bitIndex2)) <=> v90(constB34, bitIndex2)) | ((~v90(constB35, bitIndex0)) <=> v90(constB34, bitIndex0))) | (~((~v90(constB35, bitIndex0)) <=> v90(constB34, bitIndex0)))),
% 6.81/4.77 inference(tautology,[status(thm)],[])).
% 6.81/4.77 tff(2083,plain,
% 6.81/4.77 (~((~v90(constB35, bitIndex0)) <=> v90(constB34, bitIndex0))),
% 6.81/4.77 inference(unit_resolution,[status(thm)],[2082, 2081])).
% 6.81/4.77 tff(2084,plain,
% 6.81/4.77 (nextState(constB33, constB34) <=> nextState(constB33, constB34)),
% 6.81/4.77 inference(rewrite,[status(thm)],[])).
% 6.81/4.77 tff(2085,axiom,(nextState(constB33, constB34)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_33')).
% 6.81/4.77 tff(2086,plain,
% 6.81/4.77 (nextState(constB33, constB34)),
% 6.81/4.77 inference(modus_ponens,[status(thm)],[2085, 2084])).
% 6.81/4.77 tff(2087,plain,
% 6.81/4.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB33, constB34)) | (~(((~v129(constB34, bitIndex2)) <=> v127(constB33, bitIndex2)) | ((~v129(constB34, bitIndex1)) <=> v127(constB33, bitIndex1)) | ((~v129(constB34, bitIndex0)) <=> v127(constB33, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB33, constB34)) | (~(((~v129(constB34, bitIndex2)) <=> v127(constB33, bitIndex2)) | ((~v129(constB34, bitIndex1)) <=> v127(constB33, bitIndex1)) | ((~v129(constB34, bitIndex0)) <=> v127(constB33, bitIndex0)))))),
% 6.81/4.77 inference(rewrite,[status(thm)],[])).
% 6.81/4.77 tff(2088,plain,
% 6.81/4.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB33, constB34)) | (~(((~v129(constB34, bitIndex2)) <=> v127(constB33, bitIndex2)) | ((~v129(constB34, bitIndex1)) <=> v127(constB33, bitIndex1)) | ((~v129(constB34, bitIndex0)) <=> v127(constB33, bitIndex0)))))),
% 6.81/4.77 inference(quant_inst,[status(thm)],[])).
% 6.81/4.77 tff(2089,plain,
% 6.81/4.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB33, constB34)) | (~(((~v129(constB34, bitIndex2)) <=> v127(constB33, bitIndex2)) | ((~v129(constB34, bitIndex1)) <=> v127(constB33, bitIndex1)) | ((~v129(constB34, bitIndex0)) <=> v127(constB33, bitIndex0))))),
% 6.81/4.77 inference(modus_ponens,[status(thm)],[2088, 2087])).
% 6.81/4.77 tff(2090,plain,
% 6.81/4.77 (~(((~v129(constB34, bitIndex2)) <=> v127(constB33, bitIndex2)) | ((~v129(constB34, bitIndex1)) <=> v127(constB33, bitIndex1)) | ((~v129(constB34, bitIndex0)) <=> v127(constB33, bitIndex0)))),
% 6.81/4.77 inference(unit_resolution,[status(thm)],[2089, 2086, 517])).
% 6.81/4.77 tff(2091,plain,
% 6.81/4.77 ((((~v129(constB34, bitIndex2)) <=> v127(constB33, bitIndex2)) | ((~v129(constB34, bitIndex1)) <=> v127(constB33, bitIndex1)) | ((~v129(constB34, bitIndex0)) <=> v127(constB33, bitIndex0))) | (~((~v129(constB34, bitIndex0)) <=> v127(constB33, bitIndex0)))),
% 6.81/4.77 inference(tautology,[status(thm)],[])).
% 6.81/4.77 tff(2092,plain,
% 6.81/4.77 (~((~v129(constB34, bitIndex0)) <=> v127(constB33, bitIndex0))),
% 6.81/4.77 inference(unit_resolution,[status(thm)],[2091, 2090])).
% 6.81/4.77 tff(2093,plain,
% 6.81/4.77 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB33) <=> v26(constB33))),
% 6.81/4.77 inference(quant_inst,[status(thm)],[])).
% 6.81/4.77 tff(2094,plain,
% 6.81/4.77 (v111(constB33) <=> v26(constB33)),
% 6.81/4.77 inference(unit_resolution,[status(thm)],[2093, 536])).
% 6.81/4.77 tff(2095,plain,
% 6.81/4.77 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB33))),
% 6.81/4.77 inference(quant_inst,[status(thm)],[])).
% 6.81/4.77 tff(2096,plain,
% 6.81/4.77 (~v26(constB33)),
% 6.81/4.77 inference(unit_resolution,[status(thm)],[2095, 548])).
% 6.81/4.77 tff(2097,plain,
% 6.81/4.77 ((~(v111(constB33) <=> v26(constB33))) | (~v111(constB33)) | v26(constB33)),
% 6.81/4.77 inference(tautology,[status(thm)],[])).
% 6.81/4.77 tff(2098,plain,
% 6.81/4.77 ((~(v111(constB33) <=> v26(constB33))) | (~v111(constB33))),
% 6.81/4.77 inference(unit_resolution,[status(thm)],[2097, 2096])).
% 6.81/4.77 tff(2099,plain,
% 6.81/4.77 (~v111(constB33)),
% 6.81/4.77 inference(unit_resolution,[status(thm)],[2098, 2094])).
% 6.81/4.77 tff(2100,plain,
% 6.81/4.77 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB33) | (~(((~v127(constB33, bitIndex2)) <=> v130(constB33, bitIndex2)) | ((~v127(constB33, bitIndex1)) <=> v130(constB33, bitIndex1)) | ((~v127(constB33, bitIndex0)) <=> v130(constB33, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB33) | (~(((~v127(constB33, bitIndex2)) <=> v130(constB33, bitIndex2)) | ((~v127(constB33, bitIndex1)) <=> v130(constB33, bitIndex1)) | ((~v127(constB33, bitIndex0)) <=> v130(constB33, bitIndex0)))))),
% 6.81/4.77 inference(rewrite,[status(thm)],[])).
% 6.81/4.77 tff(2101,plain,
% 6.81/4.77 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB33) | (~(((~v127(constB33, bitIndex2)) <=> v130(constB33, bitIndex2)) | ((~v127(constB33, bitIndex1)) <=> v130(constB33, bitIndex1)) | ((~v127(constB33, bitIndex0)) <=> v130(constB33, bitIndex0)))))),
% 6.81/4.77 inference(quant_inst,[status(thm)],[])).
% 6.81/4.77 tff(2102,plain,
% 6.81/4.77 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB33) | (~(((~v127(constB33, bitIndex2)) <=> v130(constB33, bitIndex2)) | ((~v127(constB33, bitIndex1)) <=> v130(constB33, bitIndex1)) | ((~v127(constB33, bitIndex0)) <=> v130(constB33, bitIndex0))))),
% 6.81/4.77 inference(modus_ponens,[status(thm)],[2101, 2100])).
% 6.81/4.77 tff(2103,plain,
% 6.81/4.77 (v111(constB33) | (~(((~v127(constB33, bitIndex2)) <=> v130(constB33, bitIndex2)) | ((~v127(constB33, bitIndex1)) <=> v130(constB33, bitIndex1)) | ((~v127(constB33, bitIndex0)) <=> v130(constB33, bitIndex0))))),
% 6.81/4.77 inference(unit_resolution,[status(thm)],[2102, 566])).
% 6.81/4.77 tff(2104,plain,
% 6.81/4.77 (~(((~v127(constB33, bitIndex2)) <=> v130(constB33, bitIndex2)) | ((~v127(constB33, bitIndex1)) <=> v130(constB33, bitIndex1)) | ((~v127(constB33, bitIndex0)) <=> v130(constB33, bitIndex0)))),
% 6.81/4.77 inference(unit_resolution,[status(thm)],[2103, 2099])).
% 6.81/4.77 tff(2105,plain,
% 6.81/4.77 ((((~v127(constB33, bitIndex2)) <=> v130(constB33, bitIndex2)) | ((~v127(constB33, bitIndex1)) <=> v130(constB33, bitIndex1)) | ((~v127(constB33, bitIndex0)) <=> v130(constB33, bitIndex0))) | (~((~v127(constB33, bitIndex0)) <=> v130(constB33, bitIndex0)))),
% 6.81/4.77 inference(tautology,[status(thm)],[])).
% 6.81/4.77 tff(2106,plain,
% 6.81/4.77 (~((~v127(constB33, bitIndex0)) <=> v130(constB33, bitIndex0))),
% 6.81/4.77 inference(unit_resolution,[status(thm)],[2105, 2104])).
% 6.81/4.77 tff(2107,plain,
% 6.81/4.77 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB33) <=> (~(v90(constB33, bitIndex1) | v90(constB33, bitIndex0) | (~v90(constB33, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB33) <=> (~(v90(constB33, bitIndex1) | v90(constB33, bitIndex0) | (~v90(constB33, bitIndex2))))))),
% 6.81/4.77 inference(rewrite,[status(thm)],[])).
% 6.81/4.77 tff(2108,plain,
% 6.81/4.77 ((v123(constB33) <=> (~(v90(constB33, bitIndex0) | v90(constB33, bitIndex1) | (~v90(constB33, bitIndex2))))) <=> (v123(constB33) <=> (~(v90(constB33, bitIndex1) | v90(constB33, bitIndex0) | (~v90(constB33, bitIndex2)))))),
% 6.81/4.77 inference(rewrite,[status(thm)],[])).
% 6.81/4.77 tff(2109,plain,
% 6.81/4.77 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB33) <=> (~(v90(constB33, bitIndex0) | v90(constB33, bitIndex1) | (~v90(constB33, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB33) <=> (~(v90(constB33, bitIndex1) | v90(constB33, bitIndex0) | (~v90(constB33, bitIndex2))))))),
% 6.81/4.77 inference(monotonicity,[status(thm)],[2108])).
% 6.81/4.77 tff(2110,plain,
% 6.81/4.77 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB33) <=> (~(v90(constB33, bitIndex0) | v90(constB33, bitIndex1) | (~v90(constB33, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB33) <=> (~(v90(constB33, bitIndex1) | v90(constB33, bitIndex0) | (~v90(constB33, bitIndex2))))))),
% 6.81/4.77 inference(transitivity,[status(thm)],[2109, 2107])).
% 6.81/4.77 tff(2111,plain,
% 6.81/4.77 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB33) <=> (~(v90(constB33, bitIndex0) | v90(constB33, bitIndex1) | (~v90(constB33, bitIndex2)))))),
% 6.81/4.77 inference(quant_inst,[status(thm)],[])).
% 6.81/4.77 tff(2112,plain,
% 6.81/4.77 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB33) <=> (~(v90(constB33, bitIndex1) | v90(constB33, bitIndex0) | (~v90(constB33, bitIndex2)))))),
% 6.81/4.77 inference(modus_ponens,[status(thm)],[2111, 2110])).
% 6.81/4.77 tff(2113,plain,
% 6.81/4.77 (v123(constB33) <=> (~(v90(constB33, bitIndex1) | v90(constB33, bitIndex0) | (~v90(constB33, bitIndex2))))),
% 6.81/4.77 inference(unit_resolution,[status(thm)],[2112, 800])).
% 6.81/4.77 tff(2114,plain,
% 6.81/4.77 (nextState(constB32, constB33) <=> nextState(constB32, constB33)),
% 6.81/4.77 inference(rewrite,[status(thm)],[])).
% 6.81/4.77 tff(2115,axiom,(nextState(constB32, constB33)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_32')).
% 6.81/4.77 tff(2116,plain,
% 6.81/4.77 (nextState(constB32, constB33)),
% 6.81/4.77 inference(modus_ponens,[status(thm)],[2115, 2114])).
% 6.81/4.77 tff(2117,plain,
% 6.81/4.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB32, constB33)) | (v100(constB33) <=> (~((~v101(constB33)) | (~v110(constB33))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB32, constB33)) | (v100(constB33) <=> (~((~v101(constB33)) | (~v110(constB33))))))),
% 6.81/4.77 inference(rewrite,[status(thm)],[])).
% 6.81/4.77 tff(2118,plain,
% 6.81/4.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB32, constB33)) | (v100(constB33) <=> (~((~v101(constB33)) | (~v110(constB33))))))),
% 6.81/4.77 inference(quant_inst,[status(thm)],[])).
% 6.81/4.77 tff(2119,plain,
% 6.81/4.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB32, constB33)) | (v100(constB33) <=> (~((~v101(constB33)) | (~v110(constB33)))))),
% 6.81/4.77 inference(modus_ponens,[status(thm)],[2118, 2117])).
% 6.81/4.77 tff(2120,plain,
% 6.81/4.77 (v100(constB33) <=> (~((~v101(constB33)) | (~v110(constB33))))),
% 6.81/4.77 inference(unit_resolution,[status(thm)],[2119, 2116, 445])).
% 6.81/4.77 tff(2121,plain,
% 6.81/4.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB32, constB33)) | (v101(constB33) <=> (~((~v1(constB33)) | (~v102(constB33))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB32, constB33)) | (v101(constB33) <=> (~((~v1(constB33)) | (~v102(constB33))))))),
% 6.81/4.77 inference(rewrite,[status(thm)],[])).
% 6.81/4.77 tff(2122,plain,
% 6.81/4.77 (((~nextState(constB32, constB33)) | (v101(constB33) <=> (~((~v102(constB33)) | (~v1(constB33)))))) <=> ((~nextState(constB32, constB33)) | (v101(constB33) <=> (~((~v1(constB33)) | (~v102(constB33))))))),
% 6.81/4.77 inference(rewrite,[status(thm)],[])).
% 6.81/4.77 tff(2123,plain,
% 6.81/4.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB32, constB33)) | (v101(constB33) <=> (~((~v102(constB33)) | (~v1(constB33))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB32, constB33)) | (v101(constB33) <=> (~((~v1(constB33)) | (~v102(constB33)))))))),
% 6.81/4.77 inference(monotonicity,[status(thm)],[2122])).
% 6.81/4.77 tff(2124,plain,
% 6.81/4.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB32, constB33)) | (v101(constB33) <=> (~((~v102(constB33)) | (~v1(constB33))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB32, constB33)) | (v101(constB33) <=> (~((~v1(constB33)) | (~v102(constB33))))))),
% 6.81/4.77 inference(transitivity,[status(thm)],[2123, 2121])).
% 6.81/4.77 tff(2125,plain,
% 6.81/4.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB32, constB33)) | (v101(constB33) <=> (~((~v102(constB33)) | (~v1(constB33))))))),
% 6.81/4.77 inference(quant_inst,[status(thm)],[])).
% 6.81/4.77 tff(2126,plain,
% 6.81/4.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB32, constB33)) | (v101(constB33) <=> (~((~v1(constB33)) | (~v102(constB33)))))),
% 6.81/4.77 inference(modus_ponens,[status(thm)],[2125, 2124])).
% 6.81/4.77 tff(2127,plain,
% 6.81/4.77 (v101(constB33) <=> (~((~v1(constB33)) | (~v102(constB33))))),
% 6.81/4.77 inference(unit_resolution,[status(thm)],[2126, 2116, 465])).
% 6.81/4.77 tff(2128,plain,
% 6.81/4.77 ((~v1(constB33)) <=> (~v1(constB33))),
% 6.81/4.77 inference(rewrite,[status(thm)],[])).
% 6.81/4.77 tff(2129,axiom,(~v1(constB33)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_33')).
% 6.81/4.77 tff(2130,plain,
% 6.81/4.77 (~v1(constB33)),
% 6.81/4.77 inference(modus_ponens,[status(thm)],[2129, 2128])).
% 6.81/4.77 tff(2131,plain,
% 6.81/4.77 (((~v1(constB33)) | (~v102(constB33))) | v1(constB33)),
% 6.81/4.77 inference(tautology,[status(thm)],[])).
% 6.81/4.77 tff(2132,plain,
% 6.81/4.77 ((~v1(constB33)) | (~v102(constB33))),
% 6.81/4.77 inference(unit_resolution,[status(thm)],[2131, 2130])).
% 6.81/4.77 tff(2133,plain,
% 6.81/4.77 ((~(v101(constB33) <=> (~((~v1(constB33)) | (~v102(constB33)))))) | (~v101(constB33)) | (~((~v1(constB33)) | (~v102(constB33))))),
% 6.81/4.77 inference(tautology,[status(thm)],[])).
% 6.81/4.77 tff(2134,plain,
% 6.81/4.77 ((~(v101(constB33) <=> (~((~v1(constB33)) | (~v102(constB33)))))) | (~v101(constB33))),
% 6.81/4.77 inference(unit_resolution,[status(thm)],[2133, 2132])).
% 6.81/4.77 tff(2135,plain,
% 6.81/4.77 (~v101(constB33)),
% 6.81/4.77 inference(unit_resolution,[status(thm)],[2134, 2127])).
% 6.81/4.77 tff(2136,plain,
% 6.81/4.77 (((~v101(constB33)) | (~v110(constB33))) | v101(constB33)),
% 6.81/4.77 inference(tautology,[status(thm)],[])).
% 6.81/4.77 tff(2137,plain,
% 6.81/4.77 ((~v101(constB33)) | (~v110(constB33))),
% 6.81/4.77 inference(unit_resolution,[status(thm)],[2136, 2135])).
% 6.81/4.77 tff(2138,plain,
% 6.81/4.77 ((~(v100(constB33) <=> (~((~v101(constB33)) | (~v110(constB33)))))) | (~v100(constB33)) | (~((~v101(constB33)) | (~v110(constB33))))),
% 6.81/4.77 inference(tautology,[status(thm)],[])).
% 6.81/4.77 tff(2139,plain,
% 6.81/4.77 (~v100(constB33)),
% 6.81/4.77 inference(unit_resolution,[status(thm)],[2138, 2137, 2120])).
% 6.81/4.77 tff(2140,plain,
% 6.81/4.77 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB33) | (~nextState(constB32, constB33)) | (~(((~v90(constB33, bitIndex1)) <=> v90(constB32, bitIndex1)) | ((~v90(constB33, bitIndex2)) <=> v90(constB32, bitIndex2)) | ((~v90(constB33, bitIndex0)) <=> v90(constB32, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB33) | (~nextState(constB32, constB33)) | (~(((~v90(constB33, bitIndex1)) <=> v90(constB32, bitIndex1)) | ((~v90(constB33, bitIndex2)) <=> v90(constB32, bitIndex2)) | ((~v90(constB33, bitIndex0)) <=> v90(constB32, bitIndex0)))))),
% 6.81/4.77 inference(rewrite,[status(thm)],[])).
% 6.81/4.77 tff(2141,plain,
% 6.81/4.77 ((v100(constB33) | (~nextState(constB32, constB33)) | (~(((~v90(constB33, bitIndex2)) <=> v90(constB32, bitIndex2)) | ((~v90(constB33, bitIndex1)) <=> v90(constB32, bitIndex1)) | ((~v90(constB33, bitIndex0)) <=> v90(constB32, bitIndex0))))) <=> (v100(constB33) | (~nextState(constB32, constB33)) | (~(((~v90(constB33, bitIndex1)) <=> v90(constB32, bitIndex1)) | ((~v90(constB33, bitIndex2)) <=> v90(constB32, bitIndex2)) | ((~v90(constB33, bitIndex0)) <=> v90(constB32, bitIndex0)))))),
% 6.81/4.77 inference(rewrite,[status(thm)],[])).
% 6.81/4.77 tff(2142,plain,
% 6.81/4.77 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB33) | (~nextState(constB32, constB33)) | (~(((~v90(constB33, bitIndex2)) <=> v90(constB32, bitIndex2)) | ((~v90(constB33, bitIndex1)) <=> v90(constB32, bitIndex1)) | ((~v90(constB33, bitIndex0)) <=> v90(constB32, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB33) | (~nextState(constB32, constB33)) | (~(((~v90(constB33, bitIndex1)) <=> v90(constB32, bitIndex1)) | ((~v90(constB33, bitIndex2)) <=> v90(constB32, bitIndex2)) | ((~v90(constB33, bitIndex0)) <=> v90(constB32, bitIndex0))))))),
% 6.81/4.77 inference(monotonicity,[status(thm)],[2141])).
% 6.81/4.77 tff(2143,plain,
% 6.81/4.77 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB33) | (~nextState(constB32, constB33)) | (~(((~v90(constB33, bitIndex2)) <=> v90(constB32, bitIndex2)) | ((~v90(constB33, bitIndex1)) <=> v90(constB32, bitIndex1)) | ((~v90(constB33, bitIndex0)) <=> v90(constB32, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB33) | (~nextState(constB32, constB33)) | (~(((~v90(constB33, bitIndex1)) <=> v90(constB32, bitIndex1)) | ((~v90(constB33, bitIndex2)) <=> v90(constB32, bitIndex2)) | ((~v90(constB33, bitIndex0)) <=> v90(constB32, bitIndex0)))))),
% 6.81/4.77 inference(transitivity,[status(thm)],[2142, 2140])).
% 6.81/4.77 tff(2144,plain,
% 6.81/4.77 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB33) | (~nextState(constB32, constB33)) | (~(((~v90(constB33, bitIndex2)) <=> v90(constB32, bitIndex2)) | ((~v90(constB33, bitIndex1)) <=> v90(constB32, bitIndex1)) | ((~v90(constB33, bitIndex0)) <=> v90(constB32, bitIndex0)))))),
% 6.81/4.77 inference(quant_inst,[status(thm)],[])).
% 6.81/4.77 tff(2145,plain,
% 6.81/4.77 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB33) | (~nextState(constB32, constB33)) | (~(((~v90(constB33, bitIndex1)) <=> v90(constB32, bitIndex1)) | ((~v90(constB33, bitIndex2)) <=> v90(constB32, bitIndex2)) | ((~v90(constB33, bitIndex0)) <=> v90(constB32, bitIndex0))))),
% 6.81/4.78 inference(modus_ponens,[status(thm)],[2144, 2143])).
% 6.81/4.78 tff(2146,plain,
% 6.81/4.78 (v100(constB33) | (~(((~v90(constB33, bitIndex1)) <=> v90(constB32, bitIndex1)) | ((~v90(constB33, bitIndex2)) <=> v90(constB32, bitIndex2)) | ((~v90(constB33, bitIndex0)) <=> v90(constB32, bitIndex0))))),
% 6.81/4.78 inference(unit_resolution,[status(thm)],[2145, 2116, 494])).
% 6.81/4.78 tff(2147,plain,
% 6.81/4.78 (~(((~v90(constB33, bitIndex1)) <=> v90(constB32, bitIndex1)) | ((~v90(constB33, bitIndex2)) <=> v90(constB32, bitIndex2)) | ((~v90(constB33, bitIndex0)) <=> v90(constB32, bitIndex0)))),
% 6.81/4.78 inference(unit_resolution,[status(thm)],[2146, 2139])).
% 6.81/4.78 tff(2148,plain,
% 6.81/4.78 ((((~v90(constB33, bitIndex1)) <=> v90(constB32, bitIndex1)) | ((~v90(constB33, bitIndex2)) <=> v90(constB32, bitIndex2)) | ((~v90(constB33, bitIndex0)) <=> v90(constB32, bitIndex0))) | (~((~v90(constB33, bitIndex2)) <=> v90(constB32, bitIndex2)))),
% 6.81/4.78 inference(tautology,[status(thm)],[])).
% 6.81/4.78 tff(2149,plain,
% 6.81/4.78 (~((~v90(constB33, bitIndex2)) <=> v90(constB32, bitIndex2))),
% 6.81/4.78 inference(unit_resolution,[status(thm)],[2148, 2147])).
% 6.81/4.78 tff(2150,plain,
% 6.81/4.78 (nextState(constB31, constB32) <=> nextState(constB31, constB32)),
% 6.81/4.78 inference(rewrite,[status(thm)],[])).
% 6.81/4.78 tff(2151,axiom,(nextState(constB31, constB32)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_31')).
% 6.81/4.78 tff(2152,plain,
% 6.81/4.78 (nextState(constB31, constB32)),
% 6.81/4.78 inference(modus_ponens,[status(thm)],[2151, 2150])).
% 6.81/4.78 tff(2153,plain,
% 6.81/4.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB31, constB32)) | (~(((~v129(constB32, bitIndex2)) <=> v127(constB31, bitIndex2)) | ((~v129(constB32, bitIndex1)) <=> v127(constB31, bitIndex1)) | ((~v129(constB32, bitIndex0)) <=> v127(constB31, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB31, constB32)) | (~(((~v129(constB32, bitIndex2)) <=> v127(constB31, bitIndex2)) | ((~v129(constB32, bitIndex1)) <=> v127(constB31, bitIndex1)) | ((~v129(constB32, bitIndex0)) <=> v127(constB31, bitIndex0)))))),
% 6.81/4.78 inference(rewrite,[status(thm)],[])).
% 6.81/4.78 tff(2154,plain,
% 6.81/4.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB31, constB32)) | (~(((~v129(constB32, bitIndex2)) <=> v127(constB31, bitIndex2)) | ((~v129(constB32, bitIndex1)) <=> v127(constB31, bitIndex1)) | ((~v129(constB32, bitIndex0)) <=> v127(constB31, bitIndex0)))))),
% 6.81/4.78 inference(quant_inst,[status(thm)],[])).
% 6.81/4.78 tff(2155,plain,
% 6.81/4.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB31, constB32)) | (~(((~v129(constB32, bitIndex2)) <=> v127(constB31, bitIndex2)) | ((~v129(constB32, bitIndex1)) <=> v127(constB31, bitIndex1)) | ((~v129(constB32, bitIndex0)) <=> v127(constB31, bitIndex0))))),
% 6.81/4.78 inference(modus_ponens,[status(thm)],[2154, 2153])).
% 6.81/4.78 tff(2156,plain,
% 6.81/4.78 (~(((~v129(constB32, bitIndex2)) <=> v127(constB31, bitIndex2)) | ((~v129(constB32, bitIndex1)) <=> v127(constB31, bitIndex1)) | ((~v129(constB32, bitIndex0)) <=> v127(constB31, bitIndex0)))),
% 6.81/4.78 inference(unit_resolution,[status(thm)],[2155, 2152, 517])).
% 6.81/4.78 tff(2157,plain,
% 6.81/4.78 ((((~v129(constB32, bitIndex2)) <=> v127(constB31, bitIndex2)) | ((~v129(constB32, bitIndex1)) <=> v127(constB31, bitIndex1)) | ((~v129(constB32, bitIndex0)) <=> v127(constB31, bitIndex0))) | (~((~v129(constB32, bitIndex2)) <=> v127(constB31, bitIndex2)))),
% 6.81/4.78 inference(tautology,[status(thm)],[])).
% 6.81/4.78 tff(2158,plain,
% 6.81/4.78 (~((~v129(constB32, bitIndex2)) <=> v127(constB31, bitIndex2))),
% 6.81/4.78 inference(unit_resolution,[status(thm)],[2157, 2156])).
% 6.81/4.78 tff(2159,plain,
% 6.81/4.78 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB31) <=> v26(constB31))),
% 6.81/4.78 inference(quant_inst,[status(thm)],[])).
% 6.81/4.78 tff(2160,plain,
% 6.81/4.78 (v111(constB31) <=> v26(constB31)),
% 6.81/4.78 inference(unit_resolution,[status(thm)],[2159, 536])).
% 6.81/4.78 tff(2161,plain,
% 6.81/4.78 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB31))),
% 6.81/4.78 inference(quant_inst,[status(thm)],[])).
% 6.81/4.78 tff(2162,plain,
% 6.81/4.78 (~v26(constB31)),
% 6.81/4.78 inference(unit_resolution,[status(thm)],[2161, 548])).
% 6.81/4.78 tff(2163,plain,
% 6.81/4.78 ((~(v111(constB31) <=> v26(constB31))) | (~v111(constB31)) | v26(constB31)),
% 6.81/4.78 inference(tautology,[status(thm)],[])).
% 6.81/4.78 tff(2164,plain,
% 6.81/4.78 ((~(v111(constB31) <=> v26(constB31))) | (~v111(constB31))),
% 6.81/4.78 inference(unit_resolution,[status(thm)],[2163, 2162])).
% 6.81/4.78 tff(2165,plain,
% 6.81/4.78 (~v111(constB31)),
% 6.81/4.78 inference(unit_resolution,[status(thm)],[2164, 2160])).
% 6.81/4.78 tff(2166,plain,
% 6.81/4.78 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB31) | (~(((~v127(constB31, bitIndex2)) <=> v130(constB31, bitIndex2)) | ((~v127(constB31, bitIndex1)) <=> v130(constB31, bitIndex1)) | ((~v127(constB31, bitIndex0)) <=> v130(constB31, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB31) | (~(((~v127(constB31, bitIndex2)) <=> v130(constB31, bitIndex2)) | ((~v127(constB31, bitIndex1)) <=> v130(constB31, bitIndex1)) | ((~v127(constB31, bitIndex0)) <=> v130(constB31, bitIndex0)))))),
% 6.81/4.78 inference(rewrite,[status(thm)],[])).
% 6.81/4.78 tff(2167,plain,
% 6.81/4.78 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB31) | (~(((~v127(constB31, bitIndex2)) <=> v130(constB31, bitIndex2)) | ((~v127(constB31, bitIndex1)) <=> v130(constB31, bitIndex1)) | ((~v127(constB31, bitIndex0)) <=> v130(constB31, bitIndex0)))))),
% 6.81/4.78 inference(quant_inst,[status(thm)],[])).
% 6.81/4.78 tff(2168,plain,
% 6.81/4.78 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB31) | (~(((~v127(constB31, bitIndex2)) <=> v130(constB31, bitIndex2)) | ((~v127(constB31, bitIndex1)) <=> v130(constB31, bitIndex1)) | ((~v127(constB31, bitIndex0)) <=> v130(constB31, bitIndex0))))),
% 6.81/4.78 inference(modus_ponens,[status(thm)],[2167, 2166])).
% 6.81/4.78 tff(2169,plain,
% 6.81/4.78 (v111(constB31) | (~(((~v127(constB31, bitIndex2)) <=> v130(constB31, bitIndex2)) | ((~v127(constB31, bitIndex1)) <=> v130(constB31, bitIndex1)) | ((~v127(constB31, bitIndex0)) <=> v130(constB31, bitIndex0))))),
% 6.81/4.78 inference(unit_resolution,[status(thm)],[2168, 566])).
% 6.81/4.78 tff(2170,plain,
% 6.81/4.78 (~(((~v127(constB31, bitIndex2)) <=> v130(constB31, bitIndex2)) | ((~v127(constB31, bitIndex1)) <=> v130(constB31, bitIndex1)) | ((~v127(constB31, bitIndex0)) <=> v130(constB31, bitIndex0)))),
% 6.81/4.78 inference(unit_resolution,[status(thm)],[2169, 2165])).
% 6.81/4.78 tff(2171,plain,
% 6.81/4.78 ((((~v127(constB31, bitIndex2)) <=> v130(constB31, bitIndex2)) | ((~v127(constB31, bitIndex1)) <=> v130(constB31, bitIndex1)) | ((~v127(constB31, bitIndex0)) <=> v130(constB31, bitIndex0))) | (~((~v127(constB31, bitIndex2)) <=> v130(constB31, bitIndex2)))),
% 6.81/4.78 inference(tautology,[status(thm)],[])).
% 6.81/4.78 tff(2172,plain,
% 6.81/4.78 (~((~v127(constB31, bitIndex2)) <=> v130(constB31, bitIndex2))),
% 6.81/4.78 inference(unit_resolution,[status(thm)],[2171, 2170])).
% 6.81/4.78 tff(2173,plain,
% 6.81/4.78 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB31) <=> (~(v90(constB31, bitIndex2) | (~v90(constB31, bitIndex1)) | (~v90(constB31, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB31) <=> (~(v90(constB31, bitIndex2) | (~v90(constB31, bitIndex1)) | (~v90(constB31, bitIndex0))))))),
% 6.81/4.78 inference(rewrite,[status(thm)],[])).
% 6.81/4.78 tff(2174,plain,
% 6.81/4.78 ((v122(constB31) <=> (~(v90(constB31, bitIndex2) | (~v90(constB31, bitIndex0)) | (~v90(constB31, bitIndex1))))) <=> (v122(constB31) <=> (~(v90(constB31, bitIndex2) | (~v90(constB31, bitIndex1)) | (~v90(constB31, bitIndex0)))))),
% 6.81/4.78 inference(rewrite,[status(thm)],[])).
% 6.81/4.78 tff(2175,plain,
% 6.81/4.78 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB31) <=> (~(v90(constB31, bitIndex2) | (~v90(constB31, bitIndex0)) | (~v90(constB31, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB31) <=> (~(v90(constB31, bitIndex2) | (~v90(constB31, bitIndex1)) | (~v90(constB31, bitIndex0))))))),
% 6.81/4.78 inference(monotonicity,[status(thm)],[2174])).
% 6.81/4.78 tff(2176,plain,
% 6.81/4.78 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB31) <=> (~(v90(constB31, bitIndex2) | (~v90(constB31, bitIndex0)) | (~v90(constB31, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB31) <=> (~(v90(constB31, bitIndex2) | (~v90(constB31, bitIndex1)) | (~v90(constB31, bitIndex0))))))),
% 6.81/4.78 inference(transitivity,[status(thm)],[2175, 2173])).
% 6.81/4.78 tff(2177,plain,
% 6.81/4.78 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB31) <=> (~(v90(constB31, bitIndex2) | (~v90(constB31, bitIndex0)) | (~v90(constB31, bitIndex1)))))),
% 6.81/4.78 inference(quant_inst,[status(thm)],[])).
% 6.81/4.78 tff(2178,plain,
% 6.81/4.78 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB31) <=> (~(v90(constB31, bitIndex2) | (~v90(constB31, bitIndex1)) | (~v90(constB31, bitIndex0)))))),
% 6.81/4.78 inference(modus_ponens,[status(thm)],[2177, 2176])).
% 6.81/4.78 tff(2179,plain,
% 6.81/4.78 (v122(constB31) <=> (~(v90(constB31, bitIndex2) | (~v90(constB31, bitIndex1)) | (~v90(constB31, bitIndex0))))),
% 6.81/4.78 inference(unit_resolution,[status(thm)],[2178, 879])).
% 6.81/4.78 tff(2180,plain,
% 6.81/4.78 (nextState(constB30, constB31) <=> nextState(constB30, constB31)),
% 6.81/4.78 inference(rewrite,[status(thm)],[])).
% 6.81/4.78 tff(2181,axiom,(nextState(constB30, constB31)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_30')).
% 6.81/4.78 tff(2182,plain,
% 6.81/4.78 (nextState(constB30, constB31)),
% 6.81/4.78 inference(modus_ponens,[status(thm)],[2181, 2180])).
% 6.81/4.78 tff(2183,plain,
% 6.81/4.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB30, constB31)) | (v100(constB31) <=> (~((~v101(constB31)) | (~v110(constB31))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB30, constB31)) | (v100(constB31) <=> (~((~v101(constB31)) | (~v110(constB31))))))),
% 6.81/4.78 inference(rewrite,[status(thm)],[])).
% 6.81/4.78 tff(2184,plain,
% 6.81/4.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB30, constB31)) | (v100(constB31) <=> (~((~v101(constB31)) | (~v110(constB31))))))),
% 6.81/4.78 inference(quant_inst,[status(thm)],[])).
% 6.81/4.78 tff(2185,plain,
% 6.81/4.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB30, constB31)) | (v100(constB31) <=> (~((~v101(constB31)) | (~v110(constB31)))))),
% 6.81/4.78 inference(modus_ponens,[status(thm)],[2184, 2183])).
% 6.81/4.78 tff(2186,plain,
% 6.81/4.78 (v100(constB31) <=> (~((~v101(constB31)) | (~v110(constB31))))),
% 6.81/4.78 inference(unit_resolution,[status(thm)],[2185, 2182, 445])).
% 6.81/4.78 tff(2187,plain,
% 6.81/4.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB30, constB31)) | (v101(constB31) <=> (~((~v1(constB31)) | (~v102(constB31))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB30, constB31)) | (v101(constB31) <=> (~((~v1(constB31)) | (~v102(constB31))))))),
% 6.81/4.78 inference(rewrite,[status(thm)],[])).
% 6.81/4.78 tff(2188,plain,
% 6.81/4.78 (((~nextState(constB30, constB31)) | (v101(constB31) <=> (~((~v102(constB31)) | (~v1(constB31)))))) <=> ((~nextState(constB30, constB31)) | (v101(constB31) <=> (~((~v1(constB31)) | (~v102(constB31))))))),
% 6.81/4.78 inference(rewrite,[status(thm)],[])).
% 6.81/4.78 tff(2189,plain,
% 6.81/4.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB30, constB31)) | (v101(constB31) <=> (~((~v102(constB31)) | (~v1(constB31))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB30, constB31)) | (v101(constB31) <=> (~((~v1(constB31)) | (~v102(constB31)))))))),
% 6.81/4.78 inference(monotonicity,[status(thm)],[2188])).
% 6.81/4.78 tff(2190,plain,
% 6.81/4.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB30, constB31)) | (v101(constB31) <=> (~((~v102(constB31)) | (~v1(constB31))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB30, constB31)) | (v101(constB31) <=> (~((~v1(constB31)) | (~v102(constB31))))))),
% 6.81/4.78 inference(transitivity,[status(thm)],[2189, 2187])).
% 6.81/4.78 tff(2191,plain,
% 6.81/4.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB30, constB31)) | (v101(constB31) <=> (~((~v102(constB31)) | (~v1(constB31))))))),
% 6.81/4.78 inference(quant_inst,[status(thm)],[])).
% 6.81/4.78 tff(2192,plain,
% 6.81/4.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB30, constB31)) | (v101(constB31) <=> (~((~v1(constB31)) | (~v102(constB31)))))),
% 6.81/4.78 inference(modus_ponens,[status(thm)],[2191, 2190])).
% 6.81/4.78 tff(2193,plain,
% 6.81/4.78 (v101(constB31) <=> (~((~v1(constB31)) | (~v102(constB31))))),
% 6.81/4.78 inference(unit_resolution,[status(thm)],[2192, 2182, 465])).
% 6.81/4.78 tff(2194,plain,
% 6.81/4.78 ((~v1(constB31)) <=> (~v1(constB31))),
% 6.81/4.78 inference(rewrite,[status(thm)],[])).
% 6.81/4.78 tff(2195,axiom,(~v1(constB31)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_31')).
% 6.81/4.78 tff(2196,plain,
% 6.81/4.78 (~v1(constB31)),
% 6.81/4.78 inference(modus_ponens,[status(thm)],[2195, 2194])).
% 6.81/4.78 tff(2197,plain,
% 6.81/4.78 (((~v1(constB31)) | (~v102(constB31))) | v1(constB31)),
% 6.81/4.78 inference(tautology,[status(thm)],[])).
% 6.81/4.78 tff(2198,plain,
% 6.81/4.78 ((~v1(constB31)) | (~v102(constB31))),
% 6.81/4.78 inference(unit_resolution,[status(thm)],[2197, 2196])).
% 6.81/4.78 tff(2199,plain,
% 6.81/4.78 ((~(v101(constB31) <=> (~((~v1(constB31)) | (~v102(constB31)))))) | (~v101(constB31)) | (~((~v1(constB31)) | (~v102(constB31))))),
% 6.81/4.78 inference(tautology,[status(thm)],[])).
% 6.81/4.78 tff(2200,plain,
% 6.81/4.78 ((~(v101(constB31) <=> (~((~v1(constB31)) | (~v102(constB31)))))) | (~v101(constB31))),
% 6.81/4.78 inference(unit_resolution,[status(thm)],[2199, 2198])).
% 6.81/4.78 tff(2201,plain,
% 6.81/4.78 (~v101(constB31)),
% 6.81/4.78 inference(unit_resolution,[status(thm)],[2200, 2193])).
% 6.81/4.78 tff(2202,plain,
% 6.81/4.78 (((~v101(constB31)) | (~v110(constB31))) | v101(constB31)),
% 6.81/4.78 inference(tautology,[status(thm)],[])).
% 6.81/4.78 tff(2203,plain,
% 6.81/4.78 ((~v101(constB31)) | (~v110(constB31))),
% 6.81/4.78 inference(unit_resolution,[status(thm)],[2202, 2201])).
% 6.81/4.78 tff(2204,plain,
% 6.81/4.78 ((~(v100(constB31) <=> (~((~v101(constB31)) | (~v110(constB31)))))) | (~v100(constB31)) | (~((~v101(constB31)) | (~v110(constB31))))),
% 6.81/4.78 inference(tautology,[status(thm)],[])).
% 6.81/4.78 tff(2205,plain,
% 6.81/4.78 (~v100(constB31)),
% 6.81/4.78 inference(unit_resolution,[status(thm)],[2204, 2203, 2186])).
% 6.81/4.78 tff(2206,plain,
% 6.81/4.78 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB31) | (~nextState(constB30, constB31)) | (~(((~v90(constB31, bitIndex1)) <=> v90(constB30, bitIndex1)) | ((~v90(constB31, bitIndex2)) <=> v90(constB30, bitIndex2)) | ((~v90(constB31, bitIndex0)) <=> v90(constB30, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB31) | (~nextState(constB30, constB31)) | (~(((~v90(constB31, bitIndex1)) <=> v90(constB30, bitIndex1)) | ((~v90(constB31, bitIndex2)) <=> v90(constB30, bitIndex2)) | ((~v90(constB31, bitIndex0)) <=> v90(constB30, bitIndex0)))))),
% 6.81/4.78 inference(rewrite,[status(thm)],[])).
% 6.81/4.78 tff(2207,plain,
% 6.81/4.78 ((v100(constB31) | (~nextState(constB30, constB31)) | (~(((~v90(constB31, bitIndex2)) <=> v90(constB30, bitIndex2)) | ((~v90(constB31, bitIndex1)) <=> v90(constB30, bitIndex1)) | ((~v90(constB31, bitIndex0)) <=> v90(constB30, bitIndex0))))) <=> (v100(constB31) | (~nextState(constB30, constB31)) | (~(((~v90(constB31, bitIndex1)) <=> v90(constB30, bitIndex1)) | ((~v90(constB31, bitIndex2)) <=> v90(constB30, bitIndex2)) | ((~v90(constB31, bitIndex0)) <=> v90(constB30, bitIndex0)))))),
% 6.81/4.78 inference(rewrite,[status(thm)],[])).
% 6.81/4.78 tff(2208,plain,
% 6.81/4.78 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB31) | (~nextState(constB30, constB31)) | (~(((~v90(constB31, bitIndex2)) <=> v90(constB30, bitIndex2)) | ((~v90(constB31, bitIndex1)) <=> v90(constB30, bitIndex1)) | ((~v90(constB31, bitIndex0)) <=> v90(constB30, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB31) | (~nextState(constB30, constB31)) | (~(((~v90(constB31, bitIndex1)) <=> v90(constB30, bitIndex1)) | ((~v90(constB31, bitIndex2)) <=> v90(constB30, bitIndex2)) | ((~v90(constB31, bitIndex0)) <=> v90(constB30, bitIndex0))))))),
% 6.81/4.78 inference(monotonicity,[status(thm)],[2207])).
% 6.81/4.78 tff(2209,plain,
% 6.81/4.78 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB31) | (~nextState(constB30, constB31)) | (~(((~v90(constB31, bitIndex2)) <=> v90(constB30, bitIndex2)) | ((~v90(constB31, bitIndex1)) <=> v90(constB30, bitIndex1)) | ((~v90(constB31, bitIndex0)) <=> v90(constB30, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB31) | (~nextState(constB30, constB31)) | (~(((~v90(constB31, bitIndex1)) <=> v90(constB30, bitIndex1)) | ((~v90(constB31, bitIndex2)) <=> v90(constB30, bitIndex2)) | ((~v90(constB31, bitIndex0)) <=> v90(constB30, bitIndex0)))))),
% 6.81/4.78 inference(transitivity,[status(thm)],[2208, 2206])).
% 6.81/4.78 tff(2210,plain,
% 6.81/4.78 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB31) | (~nextState(constB30, constB31)) | (~(((~v90(constB31, bitIndex2)) <=> v90(constB30, bitIndex2)) | ((~v90(constB31, bitIndex1)) <=> v90(constB30, bitIndex1)) | ((~v90(constB31, bitIndex0)) <=> v90(constB30, bitIndex0)))))),
% 6.81/4.78 inference(quant_inst,[status(thm)],[])).
% 6.81/4.78 tff(2211,plain,
% 6.81/4.78 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB31) | (~nextState(constB30, constB31)) | (~(((~v90(constB31, bitIndex1)) <=> v90(constB30, bitIndex1)) | ((~v90(constB31, bitIndex2)) <=> v90(constB30, bitIndex2)) | ((~v90(constB31, bitIndex0)) <=> v90(constB30, bitIndex0))))),
% 6.81/4.78 inference(modus_ponens,[status(thm)],[2210, 2209])).
% 6.81/4.78 tff(2212,plain,
% 6.81/4.78 (v100(constB31) | (~(((~v90(constB31, bitIndex1)) <=> v90(constB30, bitIndex1)) | ((~v90(constB31, bitIndex2)) <=> v90(constB30, bitIndex2)) | ((~v90(constB31, bitIndex0)) <=> v90(constB30, bitIndex0))))),
% 6.81/4.78 inference(unit_resolution,[status(thm)],[2211, 2182, 494])).
% 6.81/4.78 tff(2213,plain,
% 6.81/4.78 (~(((~v90(constB31, bitIndex1)) <=> v90(constB30, bitIndex1)) | ((~v90(constB31, bitIndex2)) <=> v90(constB30, bitIndex2)) | ((~v90(constB31, bitIndex0)) <=> v90(constB30, bitIndex0)))),
% 6.81/4.78 inference(unit_resolution,[status(thm)],[2212, 2205])).
% 6.81/4.78 tff(2214,plain,
% 6.81/4.78 ((((~v90(constB31, bitIndex1)) <=> v90(constB30, bitIndex1)) | ((~v90(constB31, bitIndex2)) <=> v90(constB30, bitIndex2)) | ((~v90(constB31, bitIndex0)) <=> v90(constB30, bitIndex0))) | (~((~v90(constB31, bitIndex2)) <=> v90(constB30, bitIndex2)))),
% 6.81/4.78 inference(tautology,[status(thm)],[])).
% 6.81/4.78 tff(2215,plain,
% 6.81/4.78 (~((~v90(constB31, bitIndex2)) <=> v90(constB30, bitIndex2))),
% 6.81/4.78 inference(unit_resolution,[status(thm)],[2214, 2213])).
% 6.81/4.78 tff(2216,plain,
% 6.81/4.78 (nextState(constB29, constB30) <=> nextState(constB29, constB30)),
% 6.81/4.78 inference(rewrite,[status(thm)],[])).
% 6.81/4.78 tff(2217,axiom,(nextState(constB29, constB30)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_29')).
% 6.81/4.78 tff(2218,plain,
% 6.81/4.78 (nextState(constB29, constB30)),
% 6.81/4.78 inference(modus_ponens,[status(thm)],[2217, 2216])).
% 6.81/4.78 tff(2219,plain,
% 6.81/4.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB29, constB30)) | (~(((~v129(constB30, bitIndex2)) <=> v127(constB29, bitIndex2)) | ((~v129(constB30, bitIndex1)) <=> v127(constB29, bitIndex1)) | ((~v129(constB30, bitIndex0)) <=> v127(constB29, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB29, constB30)) | (~(((~v129(constB30, bitIndex2)) <=> v127(constB29, bitIndex2)) | ((~v129(constB30, bitIndex1)) <=> v127(constB29, bitIndex1)) | ((~v129(constB30, bitIndex0)) <=> v127(constB29, bitIndex0)))))),
% 6.81/4.78 inference(rewrite,[status(thm)],[])).
% 6.81/4.78 tff(2220,plain,
% 6.81/4.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB29, constB30)) | (~(((~v129(constB30, bitIndex2)) <=> v127(constB29, bitIndex2)) | ((~v129(constB30, bitIndex1)) <=> v127(constB29, bitIndex1)) | ((~v129(constB30, bitIndex0)) <=> v127(constB29, bitIndex0)))))),
% 6.81/4.78 inference(quant_inst,[status(thm)],[])).
% 6.81/4.78 tff(2221,plain,
% 6.81/4.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB29, constB30)) | (~(((~v129(constB30, bitIndex2)) <=> v127(constB29, bitIndex2)) | ((~v129(constB30, bitIndex1)) <=> v127(constB29, bitIndex1)) | ((~v129(constB30, bitIndex0)) <=> v127(constB29, bitIndex0))))),
% 6.81/4.78 inference(modus_ponens,[status(thm)],[2220, 2219])).
% 6.81/4.78 tff(2222,plain,
% 6.81/4.78 (~(((~v129(constB30, bitIndex2)) <=> v127(constB29, bitIndex2)) | ((~v129(constB30, bitIndex1)) <=> v127(constB29, bitIndex1)) | ((~v129(constB30, bitIndex0)) <=> v127(constB29, bitIndex0)))),
% 6.81/4.78 inference(unit_resolution,[status(thm)],[2221, 2218, 517])).
% 6.81/4.78 tff(2223,plain,
% 6.81/4.78 ((((~v129(constB30, bitIndex2)) <=> v127(constB29, bitIndex2)) | ((~v129(constB30, bitIndex1)) <=> v127(constB29, bitIndex1)) | ((~v129(constB30, bitIndex0)) <=> v127(constB29, bitIndex0))) | (~((~v129(constB30, bitIndex2)) <=> v127(constB29, bitIndex2)))),
% 6.81/4.78 inference(tautology,[status(thm)],[])).
% 6.81/4.78 tff(2224,plain,
% 6.81/4.78 (~((~v129(constB30, bitIndex2)) <=> v127(constB29, bitIndex2))),
% 6.81/4.78 inference(unit_resolution,[status(thm)],[2223, 2222])).
% 6.81/4.78 tff(2225,plain,
% 6.81/4.78 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB29) <=> v26(constB29))),
% 6.81/4.78 inference(quant_inst,[status(thm)],[])).
% 6.81/4.78 tff(2226,plain,
% 6.81/4.78 (v111(constB29) <=> v26(constB29)),
% 6.81/4.78 inference(unit_resolution,[status(thm)],[2225, 536])).
% 6.81/4.78 tff(2227,plain,
% 6.81/4.78 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB29))),
% 6.81/4.78 inference(quant_inst,[status(thm)],[])).
% 6.81/4.78 tff(2228,plain,
% 6.81/4.78 (~v26(constB29)),
% 6.81/4.78 inference(unit_resolution,[status(thm)],[2227, 548])).
% 6.81/4.78 tff(2229,plain,
% 6.81/4.78 ((~(v111(constB29) <=> v26(constB29))) | (~v111(constB29)) | v26(constB29)),
% 6.81/4.78 inference(tautology,[status(thm)],[])).
% 6.81/4.78 tff(2230,plain,
% 6.81/4.78 ((~(v111(constB29) <=> v26(constB29))) | (~v111(constB29))),
% 6.81/4.78 inference(unit_resolution,[status(thm)],[2229, 2228])).
% 6.81/4.78 tff(2231,plain,
% 6.81/4.78 (~v111(constB29)),
% 6.81/4.78 inference(unit_resolution,[status(thm)],[2230, 2226])).
% 6.81/4.78 tff(2232,plain,
% 6.81/4.78 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB29) | (~(((~v127(constB29, bitIndex2)) <=> v130(constB29, bitIndex2)) | ((~v127(constB29, bitIndex1)) <=> v130(constB29, bitIndex1)) | ((~v127(constB29, bitIndex0)) <=> v130(constB29, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB29) | (~(((~v127(constB29, bitIndex2)) <=> v130(constB29, bitIndex2)) | ((~v127(constB29, bitIndex1)) <=> v130(constB29, bitIndex1)) | ((~v127(constB29, bitIndex0)) <=> v130(constB29, bitIndex0)))))),
% 6.81/4.78 inference(rewrite,[status(thm)],[])).
% 6.81/4.78 tff(2233,plain,
% 6.81/4.78 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB29) | (~(((~v127(constB29, bitIndex2)) <=> v130(constB29, bitIndex2)) | ((~v127(constB29, bitIndex1)) <=> v130(constB29, bitIndex1)) | ((~v127(constB29, bitIndex0)) <=> v130(constB29, bitIndex0)))))),
% 6.81/4.78 inference(quant_inst,[status(thm)],[])).
% 6.81/4.78 tff(2234,plain,
% 6.81/4.78 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB29) | (~(((~v127(constB29, bitIndex2)) <=> v130(constB29, bitIndex2)) | ((~v127(constB29, bitIndex1)) <=> v130(constB29, bitIndex1)) | ((~v127(constB29, bitIndex0)) <=> v130(constB29, bitIndex0))))),
% 6.81/4.79 inference(modus_ponens,[status(thm)],[2233, 2232])).
% 6.81/4.79 tff(2235,plain,
% 6.81/4.79 (v111(constB29) | (~(((~v127(constB29, bitIndex2)) <=> v130(constB29, bitIndex2)) | ((~v127(constB29, bitIndex1)) <=> v130(constB29, bitIndex1)) | ((~v127(constB29, bitIndex0)) <=> v130(constB29, bitIndex0))))),
% 6.81/4.79 inference(unit_resolution,[status(thm)],[2234, 566])).
% 6.81/4.79 tff(2236,plain,
% 6.81/4.79 (~(((~v127(constB29, bitIndex2)) <=> v130(constB29, bitIndex2)) | ((~v127(constB29, bitIndex1)) <=> v130(constB29, bitIndex1)) | ((~v127(constB29, bitIndex0)) <=> v130(constB29, bitIndex0)))),
% 6.81/4.79 inference(unit_resolution,[status(thm)],[2235, 2231])).
% 6.81/4.79 tff(2237,plain,
% 6.81/4.79 ((((~v127(constB29, bitIndex2)) <=> v130(constB29, bitIndex2)) | ((~v127(constB29, bitIndex1)) <=> v130(constB29, bitIndex1)) | ((~v127(constB29, bitIndex0)) <=> v130(constB29, bitIndex0))) | (~((~v127(constB29, bitIndex2)) <=> v130(constB29, bitIndex2)))),
% 6.81/4.79 inference(tautology,[status(thm)],[])).
% 6.81/4.79 tff(2238,plain,
% 6.81/4.79 (~((~v127(constB29, bitIndex2)) <=> v130(constB29, bitIndex2))),
% 6.81/4.79 inference(unit_resolution,[status(thm)],[2237, 2236])).
% 6.81/4.79 tff(2239,plain,
% 6.81/4.79 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB29) <=> (~(v90(constB29, bitIndex2) | v90(constB29, bitIndex0) | (~v90(constB29, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB29) <=> (~(v90(constB29, bitIndex2) | v90(constB29, bitIndex0) | (~v90(constB29, bitIndex1))))))),
% 6.81/4.79 inference(rewrite,[status(thm)],[])).
% 6.81/4.79 tff(2240,plain,
% 6.81/4.79 ((v121(constB29) <=> (~(v90(constB29, bitIndex0) | v90(constB29, bitIndex2) | (~v90(constB29, bitIndex1))))) <=> (v121(constB29) <=> (~(v90(constB29, bitIndex2) | v90(constB29, bitIndex0) | (~v90(constB29, bitIndex1)))))),
% 6.81/4.79 inference(rewrite,[status(thm)],[])).
% 6.81/4.79 tff(2241,plain,
% 6.81/4.79 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB29) <=> (~(v90(constB29, bitIndex0) | v90(constB29, bitIndex2) | (~v90(constB29, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB29) <=> (~(v90(constB29, bitIndex2) | v90(constB29, bitIndex0) | (~v90(constB29, bitIndex1))))))),
% 6.81/4.79 inference(monotonicity,[status(thm)],[2240])).
% 6.81/4.79 tff(2242,plain,
% 6.81/4.79 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB29) <=> (~(v90(constB29, bitIndex0) | v90(constB29, bitIndex2) | (~v90(constB29, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB29) <=> (~(v90(constB29, bitIndex2) | v90(constB29, bitIndex0) | (~v90(constB29, bitIndex1))))))),
% 6.81/4.79 inference(transitivity,[status(thm)],[2241, 2239])).
% 6.81/4.79 tff(2243,plain,
% 6.81/4.79 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB29) <=> (~(v90(constB29, bitIndex0) | v90(constB29, bitIndex2) | (~v90(constB29, bitIndex1)))))),
% 6.81/4.79 inference(quant_inst,[status(thm)],[])).
% 6.81/4.79 tff(2244,plain,
% 6.81/4.79 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB29) <=> (~(v90(constB29, bitIndex2) | v90(constB29, bitIndex0) | (~v90(constB29, bitIndex1)))))),
% 6.81/4.79 inference(modus_ponens,[status(thm)],[2243, 2242])).
% 6.81/4.79 tff(2245,plain,
% 6.81/4.79 (v121(constB29) <=> (~(v90(constB29, bitIndex2) | v90(constB29, bitIndex0) | (~v90(constB29, bitIndex1))))),
% 6.81/4.79 inference(unit_resolution,[status(thm)],[2244, 586])).
% 6.81/4.79 tff(2246,plain,
% 6.81/4.79 (nextState(constB28, constB29) <=> nextState(constB28, constB29)),
% 6.81/4.79 inference(rewrite,[status(thm)],[])).
% 6.81/4.79 tff(2247,axiom,(nextState(constB28, constB29)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_28')).
% 6.81/4.79 tff(2248,plain,
% 6.81/4.79 (nextState(constB28, constB29)),
% 6.81/4.79 inference(modus_ponens,[status(thm)],[2247, 2246])).
% 6.81/4.79 tff(2249,plain,
% 6.81/4.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB28, constB29)) | (v100(constB29) <=> (~((~v101(constB29)) | (~v110(constB29))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB28, constB29)) | (v100(constB29) <=> (~((~v101(constB29)) | (~v110(constB29))))))),
% 6.81/4.79 inference(rewrite,[status(thm)],[])).
% 6.81/4.79 tff(2250,plain,
% 6.81/4.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB28, constB29)) | (v100(constB29) <=> (~((~v101(constB29)) | (~v110(constB29))))))),
% 6.81/4.79 inference(quant_inst,[status(thm)],[])).
% 6.81/4.79 tff(2251,plain,
% 6.81/4.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB28, constB29)) | (v100(constB29) <=> (~((~v101(constB29)) | (~v110(constB29)))))),
% 6.81/4.79 inference(modus_ponens,[status(thm)],[2250, 2249])).
% 6.81/4.79 tff(2252,plain,
% 6.81/4.79 (v100(constB29) <=> (~((~v101(constB29)) | (~v110(constB29))))),
% 6.81/4.79 inference(unit_resolution,[status(thm)],[2251, 2248, 445])).
% 6.81/4.79 tff(2253,plain,
% 6.81/4.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB28, constB29)) | (v101(constB29) <=> (~((~v1(constB29)) | (~v102(constB29))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB28, constB29)) | (v101(constB29) <=> (~((~v1(constB29)) | (~v102(constB29))))))),
% 6.81/4.79 inference(rewrite,[status(thm)],[])).
% 6.81/4.79 tff(2254,plain,
% 6.81/4.79 (((~nextState(constB28, constB29)) | (v101(constB29) <=> (~((~v102(constB29)) | (~v1(constB29)))))) <=> ((~nextState(constB28, constB29)) | (v101(constB29) <=> (~((~v1(constB29)) | (~v102(constB29))))))),
% 6.81/4.79 inference(rewrite,[status(thm)],[])).
% 6.81/4.79 tff(2255,plain,
% 6.81/4.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB28, constB29)) | (v101(constB29) <=> (~((~v102(constB29)) | (~v1(constB29))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB28, constB29)) | (v101(constB29) <=> (~((~v1(constB29)) | (~v102(constB29)))))))),
% 6.81/4.79 inference(monotonicity,[status(thm)],[2254])).
% 6.81/4.79 tff(2256,plain,
% 6.81/4.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB28, constB29)) | (v101(constB29) <=> (~((~v102(constB29)) | (~v1(constB29))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB28, constB29)) | (v101(constB29) <=> (~((~v1(constB29)) | (~v102(constB29))))))),
% 6.81/4.79 inference(transitivity,[status(thm)],[2255, 2253])).
% 6.81/4.79 tff(2257,plain,
% 6.81/4.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB28, constB29)) | (v101(constB29) <=> (~((~v102(constB29)) | (~v1(constB29))))))),
% 6.81/4.79 inference(quant_inst,[status(thm)],[])).
% 6.81/4.79 tff(2258,plain,
% 6.81/4.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB28, constB29)) | (v101(constB29) <=> (~((~v1(constB29)) | (~v102(constB29)))))),
% 6.81/4.79 inference(modus_ponens,[status(thm)],[2257, 2256])).
% 6.81/4.79 tff(2259,plain,
% 6.81/4.79 (v101(constB29) <=> (~((~v1(constB29)) | (~v102(constB29))))),
% 6.81/4.79 inference(unit_resolution,[status(thm)],[2258, 2248, 465])).
% 6.81/4.79 tff(2260,plain,
% 6.81/4.79 ((~v1(constB29)) <=> (~v1(constB29))),
% 6.81/4.79 inference(rewrite,[status(thm)],[])).
% 6.81/4.79 tff(2261,axiom,(~v1(constB29)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_29')).
% 6.81/4.79 tff(2262,plain,
% 6.81/4.79 (~v1(constB29)),
% 6.81/4.79 inference(modus_ponens,[status(thm)],[2261, 2260])).
% 6.81/4.79 tff(2263,plain,
% 6.81/4.79 (((~v1(constB29)) | (~v102(constB29))) | v1(constB29)),
% 6.81/4.79 inference(tautology,[status(thm)],[])).
% 6.81/4.79 tff(2264,plain,
% 6.81/4.79 ((~v1(constB29)) | (~v102(constB29))),
% 6.81/4.79 inference(unit_resolution,[status(thm)],[2263, 2262])).
% 6.81/4.79 tff(2265,plain,
% 6.81/4.79 ((~(v101(constB29) <=> (~((~v1(constB29)) | (~v102(constB29)))))) | (~v101(constB29)) | (~((~v1(constB29)) | (~v102(constB29))))),
% 6.81/4.79 inference(tautology,[status(thm)],[])).
% 6.81/4.79 tff(2266,plain,
% 6.81/4.79 ((~(v101(constB29) <=> (~((~v1(constB29)) | (~v102(constB29)))))) | (~v101(constB29))),
% 6.81/4.79 inference(unit_resolution,[status(thm)],[2265, 2264])).
% 6.81/4.79 tff(2267,plain,
% 6.81/4.79 (~v101(constB29)),
% 6.81/4.79 inference(unit_resolution,[status(thm)],[2266, 2259])).
% 6.81/4.79 tff(2268,plain,
% 6.81/4.79 (((~v101(constB29)) | (~v110(constB29))) | v101(constB29)),
% 6.81/4.79 inference(tautology,[status(thm)],[])).
% 6.81/4.79 tff(2269,plain,
% 6.81/4.79 ((~v101(constB29)) | (~v110(constB29))),
% 6.81/4.79 inference(unit_resolution,[status(thm)],[2268, 2267])).
% 6.81/4.79 tff(2270,plain,
% 6.81/4.79 ((~(v100(constB29) <=> (~((~v101(constB29)) | (~v110(constB29)))))) | (~v100(constB29)) | (~((~v101(constB29)) | (~v110(constB29))))),
% 6.81/4.79 inference(tautology,[status(thm)],[])).
% 6.81/4.79 tff(2271,plain,
% 6.81/4.79 (~v100(constB29)),
% 6.81/4.79 inference(unit_resolution,[status(thm)],[2270, 2269, 2252])).
% 6.81/4.79 tff(2272,plain,
% 6.81/4.79 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB29) | (~nextState(constB28, constB29)) | (~(((~v90(constB29, bitIndex1)) <=> v90(constB28, bitIndex1)) | ((~v90(constB29, bitIndex2)) <=> v90(constB28, bitIndex2)) | ((~v90(constB29, bitIndex0)) <=> v90(constB28, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB29) | (~nextState(constB28, constB29)) | (~(((~v90(constB29, bitIndex1)) <=> v90(constB28, bitIndex1)) | ((~v90(constB29, bitIndex2)) <=> v90(constB28, bitIndex2)) | ((~v90(constB29, bitIndex0)) <=> v90(constB28, bitIndex0)))))),
% 6.81/4.79 inference(rewrite,[status(thm)],[])).
% 6.81/4.79 tff(2273,plain,
% 6.81/4.79 ((v100(constB29) | (~nextState(constB28, constB29)) | (~(((~v90(constB29, bitIndex2)) <=> v90(constB28, bitIndex2)) | ((~v90(constB29, bitIndex1)) <=> v90(constB28, bitIndex1)) | ((~v90(constB29, bitIndex0)) <=> v90(constB28, bitIndex0))))) <=> (v100(constB29) | (~nextState(constB28, constB29)) | (~(((~v90(constB29, bitIndex1)) <=> v90(constB28, bitIndex1)) | ((~v90(constB29, bitIndex2)) <=> v90(constB28, bitIndex2)) | ((~v90(constB29, bitIndex0)) <=> v90(constB28, bitIndex0)))))),
% 6.81/4.79 inference(rewrite,[status(thm)],[])).
% 6.81/4.79 tff(2274,plain,
% 6.81/4.79 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB29) | (~nextState(constB28, constB29)) | (~(((~v90(constB29, bitIndex2)) <=> v90(constB28, bitIndex2)) | ((~v90(constB29, bitIndex1)) <=> v90(constB28, bitIndex1)) | ((~v90(constB29, bitIndex0)) <=> v90(constB28, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB29) | (~nextState(constB28, constB29)) | (~(((~v90(constB29, bitIndex1)) <=> v90(constB28, bitIndex1)) | ((~v90(constB29, bitIndex2)) <=> v90(constB28, bitIndex2)) | ((~v90(constB29, bitIndex0)) <=> v90(constB28, bitIndex0))))))),
% 6.81/4.79 inference(monotonicity,[status(thm)],[2273])).
% 6.81/4.79 tff(2275,plain,
% 6.81/4.79 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB29) | (~nextState(constB28, constB29)) | (~(((~v90(constB29, bitIndex2)) <=> v90(constB28, bitIndex2)) | ((~v90(constB29, bitIndex1)) <=> v90(constB28, bitIndex1)) | ((~v90(constB29, bitIndex0)) <=> v90(constB28, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB29) | (~nextState(constB28, constB29)) | (~(((~v90(constB29, bitIndex1)) <=> v90(constB28, bitIndex1)) | ((~v90(constB29, bitIndex2)) <=> v90(constB28, bitIndex2)) | ((~v90(constB29, bitIndex0)) <=> v90(constB28, bitIndex0)))))),
% 6.81/4.79 inference(transitivity,[status(thm)],[2274, 2272])).
% 6.81/4.79 tff(2276,plain,
% 6.81/4.79 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB29) | (~nextState(constB28, constB29)) | (~(((~v90(constB29, bitIndex2)) <=> v90(constB28, bitIndex2)) | ((~v90(constB29, bitIndex1)) <=> v90(constB28, bitIndex1)) | ((~v90(constB29, bitIndex0)) <=> v90(constB28, bitIndex0)))))),
% 6.81/4.79 inference(quant_inst,[status(thm)],[])).
% 6.81/4.79 tff(2277,plain,
% 6.81/4.79 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB29) | (~nextState(constB28, constB29)) | (~(((~v90(constB29, bitIndex1)) <=> v90(constB28, bitIndex1)) | ((~v90(constB29, bitIndex2)) <=> v90(constB28, bitIndex2)) | ((~v90(constB29, bitIndex0)) <=> v90(constB28, bitIndex0))))),
% 6.81/4.79 inference(modus_ponens,[status(thm)],[2276, 2275])).
% 6.81/4.79 tff(2278,plain,
% 6.81/4.79 (v100(constB29) | (~(((~v90(constB29, bitIndex1)) <=> v90(constB28, bitIndex1)) | ((~v90(constB29, bitIndex2)) <=> v90(constB28, bitIndex2)) | ((~v90(constB29, bitIndex0)) <=> v90(constB28, bitIndex0))))),
% 6.81/4.79 inference(unit_resolution,[status(thm)],[2277, 2248, 494])).
% 6.81/4.79 tff(2279,plain,
% 6.81/4.79 (~(((~v90(constB29, bitIndex1)) <=> v90(constB28, bitIndex1)) | ((~v90(constB29, bitIndex2)) <=> v90(constB28, bitIndex2)) | ((~v90(constB29, bitIndex0)) <=> v90(constB28, bitIndex0)))),
% 6.81/4.79 inference(unit_resolution,[status(thm)],[2278, 2271])).
% 6.81/4.79 tff(2280,plain,
% 6.81/4.79 ((((~v90(constB29, bitIndex1)) <=> v90(constB28, bitIndex1)) | ((~v90(constB29, bitIndex2)) <=> v90(constB28, bitIndex2)) | ((~v90(constB29, bitIndex0)) <=> v90(constB28, bitIndex0))) | (~((~v90(constB29, bitIndex2)) <=> v90(constB28, bitIndex2)))),
% 6.81/4.79 inference(tautology,[status(thm)],[])).
% 6.81/4.79 tff(2281,plain,
% 6.81/4.79 (~((~v90(constB29, bitIndex2)) <=> v90(constB28, bitIndex2))),
% 6.81/4.79 inference(unit_resolution,[status(thm)],[2280, 2279])).
% 6.81/4.79 tff(2282,plain,
% 6.81/4.79 (nextState(constB27, constB28) <=> nextState(constB27, constB28)),
% 6.81/4.79 inference(rewrite,[status(thm)],[])).
% 6.81/4.79 tff(2283,axiom,(nextState(constB27, constB28)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_27')).
% 6.81/4.79 tff(2284,plain,
% 6.81/4.79 (nextState(constB27, constB28)),
% 6.81/4.79 inference(modus_ponens,[status(thm)],[2283, 2282])).
% 6.81/4.79 tff(2285,plain,
% 6.81/4.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB27, constB28)) | (~(((~v129(constB28, bitIndex2)) <=> v127(constB27, bitIndex2)) | ((~v129(constB28, bitIndex1)) <=> v127(constB27, bitIndex1)) | ((~v129(constB28, bitIndex0)) <=> v127(constB27, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB27, constB28)) | (~(((~v129(constB28, bitIndex2)) <=> v127(constB27, bitIndex2)) | ((~v129(constB28, bitIndex1)) <=> v127(constB27, bitIndex1)) | ((~v129(constB28, bitIndex0)) <=> v127(constB27, bitIndex0)))))),
% 6.81/4.79 inference(rewrite,[status(thm)],[])).
% 6.81/4.79 tff(2286,plain,
% 6.81/4.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB27, constB28)) | (~(((~v129(constB28, bitIndex2)) <=> v127(constB27, bitIndex2)) | ((~v129(constB28, bitIndex1)) <=> v127(constB27, bitIndex1)) | ((~v129(constB28, bitIndex0)) <=> v127(constB27, bitIndex0)))))),
% 6.81/4.79 inference(quant_inst,[status(thm)],[])).
% 6.81/4.79 tff(2287,plain,
% 6.81/4.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB27, constB28)) | (~(((~v129(constB28, bitIndex2)) <=> v127(constB27, bitIndex2)) | ((~v129(constB28, bitIndex1)) <=> v127(constB27, bitIndex1)) | ((~v129(constB28, bitIndex0)) <=> v127(constB27, bitIndex0))))),
% 6.81/4.79 inference(modus_ponens,[status(thm)],[2286, 2285])).
% 6.81/4.79 tff(2288,plain,
% 6.81/4.79 (~(((~v129(constB28, bitIndex2)) <=> v127(constB27, bitIndex2)) | ((~v129(constB28, bitIndex1)) <=> v127(constB27, bitIndex1)) | ((~v129(constB28, bitIndex0)) <=> v127(constB27, bitIndex0)))),
% 6.81/4.79 inference(unit_resolution,[status(thm)],[2287, 2284, 517])).
% 6.81/4.79 tff(2289,plain,
% 6.81/4.79 ((((~v129(constB28, bitIndex2)) <=> v127(constB27, bitIndex2)) | ((~v129(constB28, bitIndex1)) <=> v127(constB27, bitIndex1)) | ((~v129(constB28, bitIndex0)) <=> v127(constB27, bitIndex0))) | (~((~v129(constB28, bitIndex2)) <=> v127(constB27, bitIndex2)))),
% 6.81/4.79 inference(tautology,[status(thm)],[])).
% 6.81/4.79 tff(2290,plain,
% 6.81/4.79 (~((~v129(constB28, bitIndex2)) <=> v127(constB27, bitIndex2))),
% 6.81/4.79 inference(unit_resolution,[status(thm)],[2289, 2288])).
% 6.81/4.79 tff(2291,plain,
% 6.81/4.79 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB27) <=> v26(constB27))),
% 6.81/4.79 inference(quant_inst,[status(thm)],[])).
% 6.81/4.79 tff(2292,plain,
% 6.81/4.79 (v111(constB27) <=> v26(constB27)),
% 6.81/4.79 inference(unit_resolution,[status(thm)],[2291, 536])).
% 6.81/4.79 tff(2293,plain,
% 6.81/4.79 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB27))),
% 6.81/4.79 inference(quant_inst,[status(thm)],[])).
% 6.81/4.79 tff(2294,plain,
% 6.81/4.79 (~v26(constB27)),
% 6.81/4.79 inference(unit_resolution,[status(thm)],[2293, 548])).
% 6.81/4.79 tff(2295,plain,
% 6.81/4.79 ((~(v111(constB27) <=> v26(constB27))) | (~v111(constB27)) | v26(constB27)),
% 6.81/4.79 inference(tautology,[status(thm)],[])).
% 6.81/4.79 tff(2296,plain,
% 6.81/4.79 ((~(v111(constB27) <=> v26(constB27))) | (~v111(constB27))),
% 6.81/4.79 inference(unit_resolution,[status(thm)],[2295, 2294])).
% 6.81/4.79 tff(2297,plain,
% 6.81/4.79 (~v111(constB27)),
% 6.81/4.79 inference(unit_resolution,[status(thm)],[2296, 2292])).
% 6.81/4.79 tff(2298,plain,
% 6.81/4.79 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB27) | (~(((~v127(constB27, bitIndex2)) <=> v130(constB27, bitIndex2)) | ((~v127(constB27, bitIndex1)) <=> v130(constB27, bitIndex1)) | ((~v127(constB27, bitIndex0)) <=> v130(constB27, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB27) | (~(((~v127(constB27, bitIndex2)) <=> v130(constB27, bitIndex2)) | ((~v127(constB27, bitIndex1)) <=> v130(constB27, bitIndex1)) | ((~v127(constB27, bitIndex0)) <=> v130(constB27, bitIndex0)))))),
% 6.88/4.79 inference(rewrite,[status(thm)],[])).
% 6.88/4.79 tff(2299,plain,
% 6.88/4.79 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB27) | (~(((~v127(constB27, bitIndex2)) <=> v130(constB27, bitIndex2)) | ((~v127(constB27, bitIndex1)) <=> v130(constB27, bitIndex1)) | ((~v127(constB27, bitIndex0)) <=> v130(constB27, bitIndex0)))))),
% 6.88/4.79 inference(quant_inst,[status(thm)],[])).
% 6.88/4.79 tff(2300,plain,
% 6.88/4.79 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB27) | (~(((~v127(constB27, bitIndex2)) <=> v130(constB27, bitIndex2)) | ((~v127(constB27, bitIndex1)) <=> v130(constB27, bitIndex1)) | ((~v127(constB27, bitIndex0)) <=> v130(constB27, bitIndex0))))),
% 6.88/4.79 inference(modus_ponens,[status(thm)],[2299, 2298])).
% 6.88/4.79 tff(2301,plain,
% 6.88/4.79 (v111(constB27) | (~(((~v127(constB27, bitIndex2)) <=> v130(constB27, bitIndex2)) | ((~v127(constB27, bitIndex1)) <=> v130(constB27, bitIndex1)) | ((~v127(constB27, bitIndex0)) <=> v130(constB27, bitIndex0))))),
% 6.88/4.79 inference(unit_resolution,[status(thm)],[2300, 566])).
% 6.88/4.79 tff(2302,plain,
% 6.88/4.79 (~(((~v127(constB27, bitIndex2)) <=> v130(constB27, bitIndex2)) | ((~v127(constB27, bitIndex1)) <=> v130(constB27, bitIndex1)) | ((~v127(constB27, bitIndex0)) <=> v130(constB27, bitIndex0)))),
% 6.88/4.79 inference(unit_resolution,[status(thm)],[2301, 2297])).
% 6.88/4.79 tff(2303,plain,
% 6.88/4.79 ((((~v127(constB27, bitIndex2)) <=> v130(constB27, bitIndex2)) | ((~v127(constB27, bitIndex1)) <=> v130(constB27, bitIndex1)) | ((~v127(constB27, bitIndex0)) <=> v130(constB27, bitIndex0))) | (~((~v127(constB27, bitIndex2)) <=> v130(constB27, bitIndex2)))),
% 6.88/4.79 inference(tautology,[status(thm)],[])).
% 6.88/4.79 tff(2304,plain,
% 6.88/4.79 (~((~v127(constB27, bitIndex2)) <=> v130(constB27, bitIndex2))),
% 6.88/4.79 inference(unit_resolution,[status(thm)],[2303, 2302])).
% 6.88/4.79 tff(2305,plain,
% 6.88/4.79 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB27) <=> (~(v90(constB27, bitIndex1) | v90(constB27, bitIndex2) | (~v90(constB27, bitIndex0)))))),
% 6.88/4.79 inference(quant_inst,[status(thm)],[])).
% 6.88/4.79 tff(2306,plain,
% 6.88/4.79 (v120(constB27) <=> (~(v90(constB27, bitIndex1) | v90(constB27, bitIndex2) | (~v90(constB27, bitIndex0))))),
% 6.88/4.79 inference(unit_resolution,[status(thm)],[2305, 665])).
% 6.88/4.79 tff(2307,plain,
% 6.88/4.79 (nextState(constB26, constB27) <=> nextState(constB26, constB27)),
% 6.88/4.79 inference(rewrite,[status(thm)],[])).
% 6.88/4.79 tff(2308,axiom,(nextState(constB26, constB27)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_26')).
% 6.88/4.79 tff(2309,plain,
% 6.88/4.79 (nextState(constB26, constB27)),
% 6.88/4.79 inference(modus_ponens,[status(thm)],[2308, 2307])).
% 6.88/4.79 tff(2310,plain,
% 6.88/4.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB26, constB27)) | (v100(constB27) <=> (~((~v101(constB27)) | (~v110(constB27))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB26, constB27)) | (v100(constB27) <=> (~((~v101(constB27)) | (~v110(constB27))))))),
% 6.88/4.79 inference(rewrite,[status(thm)],[])).
% 6.88/4.79 tff(2311,plain,
% 6.88/4.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB26, constB27)) | (v100(constB27) <=> (~((~v101(constB27)) | (~v110(constB27))))))),
% 6.88/4.79 inference(quant_inst,[status(thm)],[])).
% 6.88/4.79 tff(2312,plain,
% 6.88/4.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB26, constB27)) | (v100(constB27) <=> (~((~v101(constB27)) | (~v110(constB27)))))),
% 6.88/4.79 inference(modus_ponens,[status(thm)],[2311, 2310])).
% 6.88/4.79 tff(2313,plain,
% 6.88/4.79 (v100(constB27) <=> (~((~v101(constB27)) | (~v110(constB27))))),
% 6.88/4.79 inference(unit_resolution,[status(thm)],[2312, 2309, 445])).
% 6.88/4.79 tff(2314,plain,
% 6.88/4.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB26, constB27)) | (v101(constB27) <=> (~((~v1(constB27)) | (~v102(constB27))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB26, constB27)) | (v101(constB27) <=> (~((~v1(constB27)) | (~v102(constB27))))))),
% 6.88/4.79 inference(rewrite,[status(thm)],[])).
% 6.88/4.79 tff(2315,plain,
% 6.88/4.79 (((~nextState(constB26, constB27)) | (v101(constB27) <=> (~((~v102(constB27)) | (~v1(constB27)))))) <=> ((~nextState(constB26, constB27)) | (v101(constB27) <=> (~((~v1(constB27)) | (~v102(constB27))))))),
% 6.88/4.79 inference(rewrite,[status(thm)],[])).
% 6.88/4.79 tff(2316,plain,
% 6.88/4.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB26, constB27)) | (v101(constB27) <=> (~((~v102(constB27)) | (~v1(constB27))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB26, constB27)) | (v101(constB27) <=> (~((~v1(constB27)) | (~v102(constB27)))))))),
% 6.88/4.79 inference(monotonicity,[status(thm)],[2315])).
% 6.88/4.79 tff(2317,plain,
% 6.88/4.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB26, constB27)) | (v101(constB27) <=> (~((~v102(constB27)) | (~v1(constB27))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB26, constB27)) | (v101(constB27) <=> (~((~v1(constB27)) | (~v102(constB27))))))),
% 6.88/4.79 inference(transitivity,[status(thm)],[2316, 2314])).
% 6.88/4.79 tff(2318,plain,
% 6.88/4.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB26, constB27)) | (v101(constB27) <=> (~((~v102(constB27)) | (~v1(constB27))))))),
% 6.88/4.79 inference(quant_inst,[status(thm)],[])).
% 6.88/4.79 tff(2319,plain,
% 6.88/4.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB26, constB27)) | (v101(constB27) <=> (~((~v1(constB27)) | (~v102(constB27)))))),
% 6.88/4.79 inference(modus_ponens,[status(thm)],[2318, 2317])).
% 6.88/4.79 tff(2320,plain,
% 6.88/4.79 (v101(constB27) <=> (~((~v1(constB27)) | (~v102(constB27))))),
% 6.88/4.79 inference(unit_resolution,[status(thm)],[2319, 2309, 465])).
% 6.88/4.79 tff(2321,plain,
% 6.88/4.79 ((~v1(constB27)) <=> (~v1(constB27))),
% 6.88/4.79 inference(rewrite,[status(thm)],[])).
% 6.88/4.79 tff(2322,axiom,(~v1(constB27)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_27')).
% 6.88/4.79 tff(2323,plain,
% 6.88/4.79 (~v1(constB27)),
% 6.88/4.79 inference(modus_ponens,[status(thm)],[2322, 2321])).
% 6.88/4.79 tff(2324,plain,
% 6.88/4.79 (((~v1(constB27)) | (~v102(constB27))) | v1(constB27)),
% 6.88/4.79 inference(tautology,[status(thm)],[])).
% 6.88/4.79 tff(2325,plain,
% 6.88/4.79 ((~v1(constB27)) | (~v102(constB27))),
% 6.88/4.79 inference(unit_resolution,[status(thm)],[2324, 2323])).
% 6.88/4.79 tff(2326,plain,
% 6.88/4.79 ((~(v101(constB27) <=> (~((~v1(constB27)) | (~v102(constB27)))))) | (~v101(constB27)) | (~((~v1(constB27)) | (~v102(constB27))))),
% 6.88/4.79 inference(tautology,[status(thm)],[])).
% 6.88/4.79 tff(2327,plain,
% 6.88/4.79 ((~(v101(constB27) <=> (~((~v1(constB27)) | (~v102(constB27)))))) | (~v101(constB27))),
% 6.88/4.79 inference(unit_resolution,[status(thm)],[2326, 2325])).
% 6.88/4.79 tff(2328,plain,
% 6.88/4.79 (~v101(constB27)),
% 6.88/4.79 inference(unit_resolution,[status(thm)],[2327, 2320])).
% 6.88/4.79 tff(2329,plain,
% 6.88/4.79 (((~v101(constB27)) | (~v110(constB27))) | v101(constB27)),
% 6.88/4.79 inference(tautology,[status(thm)],[])).
% 6.88/4.79 tff(2330,plain,
% 6.88/4.79 ((~v101(constB27)) | (~v110(constB27))),
% 6.88/4.79 inference(unit_resolution,[status(thm)],[2329, 2328])).
% 6.88/4.79 tff(2331,plain,
% 6.88/4.79 ((~(v100(constB27) <=> (~((~v101(constB27)) | (~v110(constB27)))))) | (~v100(constB27)) | (~((~v101(constB27)) | (~v110(constB27))))),
% 6.88/4.79 inference(tautology,[status(thm)],[])).
% 6.88/4.79 tff(2332,plain,
% 6.88/4.79 (~v100(constB27)),
% 6.88/4.79 inference(unit_resolution,[status(thm)],[2331, 2330, 2313])).
% 6.88/4.79 tff(2333,plain,
% 6.88/4.79 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB27) | (~nextState(constB26, constB27)) | (~(((~v90(constB27, bitIndex1)) <=> v90(constB26, bitIndex1)) | ((~v90(constB27, bitIndex2)) <=> v90(constB26, bitIndex2)) | ((~v90(constB27, bitIndex0)) <=> v90(constB26, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB27) | (~nextState(constB26, constB27)) | (~(((~v90(constB27, bitIndex1)) <=> v90(constB26, bitIndex1)) | ((~v90(constB27, bitIndex2)) <=> v90(constB26, bitIndex2)) | ((~v90(constB27, bitIndex0)) <=> v90(constB26, bitIndex0)))))),
% 6.88/4.80 inference(rewrite,[status(thm)],[])).
% 6.88/4.80 tff(2334,plain,
% 6.88/4.80 ((v100(constB27) | (~nextState(constB26, constB27)) | (~(((~v90(constB27, bitIndex2)) <=> v90(constB26, bitIndex2)) | ((~v90(constB27, bitIndex1)) <=> v90(constB26, bitIndex1)) | ((~v90(constB27, bitIndex0)) <=> v90(constB26, bitIndex0))))) <=> (v100(constB27) | (~nextState(constB26, constB27)) | (~(((~v90(constB27, bitIndex1)) <=> v90(constB26, bitIndex1)) | ((~v90(constB27, bitIndex2)) <=> v90(constB26, bitIndex2)) | ((~v90(constB27, bitIndex0)) <=> v90(constB26, bitIndex0)))))),
% 6.88/4.80 inference(rewrite,[status(thm)],[])).
% 6.88/4.80 tff(2335,plain,
% 6.88/4.80 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB27) | (~nextState(constB26, constB27)) | (~(((~v90(constB27, bitIndex2)) <=> v90(constB26, bitIndex2)) | ((~v90(constB27, bitIndex1)) <=> v90(constB26, bitIndex1)) | ((~v90(constB27, bitIndex0)) <=> v90(constB26, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB27) | (~nextState(constB26, constB27)) | (~(((~v90(constB27, bitIndex1)) <=> v90(constB26, bitIndex1)) | ((~v90(constB27, bitIndex2)) <=> v90(constB26, bitIndex2)) | ((~v90(constB27, bitIndex0)) <=> v90(constB26, bitIndex0))))))),
% 6.88/4.80 inference(monotonicity,[status(thm)],[2334])).
% 6.88/4.80 tff(2336,plain,
% 6.88/4.80 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB27) | (~nextState(constB26, constB27)) | (~(((~v90(constB27, bitIndex2)) <=> v90(constB26, bitIndex2)) | ((~v90(constB27, bitIndex1)) <=> v90(constB26, bitIndex1)) | ((~v90(constB27, bitIndex0)) <=> v90(constB26, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB27) | (~nextState(constB26, constB27)) | (~(((~v90(constB27, bitIndex1)) <=> v90(constB26, bitIndex1)) | ((~v90(constB27, bitIndex2)) <=> v90(constB26, bitIndex2)) | ((~v90(constB27, bitIndex0)) <=> v90(constB26, bitIndex0)))))),
% 6.88/4.80 inference(transitivity,[status(thm)],[2335, 2333])).
% 6.88/4.80 tff(2337,plain,
% 6.88/4.80 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB27) | (~nextState(constB26, constB27)) | (~(((~v90(constB27, bitIndex2)) <=> v90(constB26, bitIndex2)) | ((~v90(constB27, bitIndex1)) <=> v90(constB26, bitIndex1)) | ((~v90(constB27, bitIndex0)) <=> v90(constB26, bitIndex0)))))),
% 6.88/4.80 inference(quant_inst,[status(thm)],[])).
% 6.88/4.80 tff(2338,plain,
% 6.88/4.80 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB27) | (~nextState(constB26, constB27)) | (~(((~v90(constB27, bitIndex1)) <=> v90(constB26, bitIndex1)) | ((~v90(constB27, bitIndex2)) <=> v90(constB26, bitIndex2)) | ((~v90(constB27, bitIndex0)) <=> v90(constB26, bitIndex0))))),
% 6.88/4.80 inference(modus_ponens,[status(thm)],[2337, 2336])).
% 6.88/4.80 tff(2339,plain,
% 6.88/4.80 (v100(constB27) | (~(((~v90(constB27, bitIndex1)) <=> v90(constB26, bitIndex1)) | ((~v90(constB27, bitIndex2)) <=> v90(constB26, bitIndex2)) | ((~v90(constB27, bitIndex0)) <=> v90(constB26, bitIndex0))))),
% 6.88/4.80 inference(unit_resolution,[status(thm)],[2338, 2309, 494])).
% 6.88/4.80 tff(2340,plain,
% 6.88/4.80 (~(((~v90(constB27, bitIndex1)) <=> v90(constB26, bitIndex1)) | ((~v90(constB27, bitIndex2)) <=> v90(constB26, bitIndex2)) | ((~v90(constB27, bitIndex0)) <=> v90(constB26, bitIndex0)))),
% 6.88/4.80 inference(unit_resolution,[status(thm)],[2339, 2332])).
% 6.88/4.80 tff(2341,plain,
% 6.88/4.80 ((((~v90(constB27, bitIndex1)) <=> v90(constB26, bitIndex1)) | ((~v90(constB27, bitIndex2)) <=> v90(constB26, bitIndex2)) | ((~v90(constB27, bitIndex0)) <=> v90(constB26, bitIndex0))) | (~((~v90(constB27, bitIndex2)) <=> v90(constB26, bitIndex2)))),
% 6.88/4.80 inference(tautology,[status(thm)],[])).
% 6.88/4.80 tff(2342,plain,
% 6.88/4.80 (~((~v90(constB27, bitIndex2)) <=> v90(constB26, bitIndex2))),
% 6.88/4.80 inference(unit_resolution,[status(thm)],[2341, 2340])).
% 6.88/4.80 tff(2343,plain,
% 6.88/4.80 (nextState(constB25, constB26) <=> nextState(constB25, constB26)),
% 6.88/4.80 inference(rewrite,[status(thm)],[])).
% 6.88/4.80 tff(2344,axiom,(nextState(constB25, constB26)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_25')).
% 6.88/4.80 tff(2345,plain,
% 6.88/4.80 (nextState(constB25, constB26)),
% 6.88/4.80 inference(modus_ponens,[status(thm)],[2344, 2343])).
% 6.88/4.80 tff(2346,plain,
% 6.88/4.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB25, constB26)) | (~(((~v129(constB26, bitIndex2)) <=> v127(constB25, bitIndex2)) | ((~v129(constB26, bitIndex1)) <=> v127(constB25, bitIndex1)) | ((~v129(constB26, bitIndex0)) <=> v127(constB25, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB25, constB26)) | (~(((~v129(constB26, bitIndex2)) <=> v127(constB25, bitIndex2)) | ((~v129(constB26, bitIndex1)) <=> v127(constB25, bitIndex1)) | ((~v129(constB26, bitIndex0)) <=> v127(constB25, bitIndex0)))))),
% 6.88/4.80 inference(rewrite,[status(thm)],[])).
% 6.88/4.80 tff(2347,plain,
% 6.88/4.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB25, constB26)) | (~(((~v129(constB26, bitIndex2)) <=> v127(constB25, bitIndex2)) | ((~v129(constB26, bitIndex1)) <=> v127(constB25, bitIndex1)) | ((~v129(constB26, bitIndex0)) <=> v127(constB25, bitIndex0)))))),
% 6.88/4.80 inference(quant_inst,[status(thm)],[])).
% 6.88/4.80 tff(2348,plain,
% 6.88/4.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB25, constB26)) | (~(((~v129(constB26, bitIndex2)) <=> v127(constB25, bitIndex2)) | ((~v129(constB26, bitIndex1)) <=> v127(constB25, bitIndex1)) | ((~v129(constB26, bitIndex0)) <=> v127(constB25, bitIndex0))))),
% 6.88/4.80 inference(modus_ponens,[status(thm)],[2347, 2346])).
% 6.88/4.80 tff(2349,plain,
% 6.88/4.80 (~(((~v129(constB26, bitIndex2)) <=> v127(constB25, bitIndex2)) | ((~v129(constB26, bitIndex1)) <=> v127(constB25, bitIndex1)) | ((~v129(constB26, bitIndex0)) <=> v127(constB25, bitIndex0)))),
% 6.88/4.80 inference(unit_resolution,[status(thm)],[2348, 2345, 517])).
% 6.88/4.80 tff(2350,plain,
% 6.88/4.80 ((((~v129(constB26, bitIndex2)) <=> v127(constB25, bitIndex2)) | ((~v129(constB26, bitIndex1)) <=> v127(constB25, bitIndex1)) | ((~v129(constB26, bitIndex0)) <=> v127(constB25, bitIndex0))) | (~((~v129(constB26, bitIndex2)) <=> v127(constB25, bitIndex2)))),
% 6.88/4.80 inference(tautology,[status(thm)],[])).
% 6.88/4.80 tff(2351,plain,
% 6.88/4.80 (~((~v129(constB26, bitIndex2)) <=> v127(constB25, bitIndex2))),
% 6.88/4.80 inference(unit_resolution,[status(thm)],[2350, 2349])).
% 6.88/4.80 tff(2352,plain,
% 6.88/4.80 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB25) <=> v26(constB25))),
% 6.88/4.80 inference(quant_inst,[status(thm)],[])).
% 6.88/4.80 tff(2353,plain,
% 6.88/4.80 (v111(constB25) <=> v26(constB25)),
% 6.88/4.80 inference(unit_resolution,[status(thm)],[2352, 536])).
% 6.88/4.80 tff(2354,plain,
% 6.88/4.80 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB25))),
% 6.88/4.80 inference(quant_inst,[status(thm)],[])).
% 6.88/4.80 tff(2355,plain,
% 6.88/4.80 (~v26(constB25)),
% 6.88/4.80 inference(unit_resolution,[status(thm)],[2354, 548])).
% 6.88/4.80 tff(2356,plain,
% 6.88/4.80 ((~(v111(constB25) <=> v26(constB25))) | (~v111(constB25)) | v26(constB25)),
% 6.88/4.80 inference(tautology,[status(thm)],[])).
% 6.88/4.80 tff(2357,plain,
% 6.88/4.80 ((~(v111(constB25) <=> v26(constB25))) | (~v111(constB25))),
% 6.88/4.80 inference(unit_resolution,[status(thm)],[2356, 2355])).
% 6.88/4.80 tff(2358,plain,
% 6.88/4.80 (~v111(constB25)),
% 6.88/4.80 inference(unit_resolution,[status(thm)],[2357, 2353])).
% 6.88/4.80 tff(2359,plain,
% 6.88/4.80 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB25) | (~(((~v127(constB25, bitIndex2)) <=> v130(constB25, bitIndex2)) | ((~v127(constB25, bitIndex1)) <=> v130(constB25, bitIndex1)) | ((~v127(constB25, bitIndex0)) <=> v130(constB25, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB25) | (~(((~v127(constB25, bitIndex2)) <=> v130(constB25, bitIndex2)) | ((~v127(constB25, bitIndex1)) <=> v130(constB25, bitIndex1)) | ((~v127(constB25, bitIndex0)) <=> v130(constB25, bitIndex0)))))),
% 6.88/4.80 inference(rewrite,[status(thm)],[])).
% 6.88/4.80 tff(2360,plain,
% 6.88/4.80 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB25) | (~(((~v127(constB25, bitIndex2)) <=> v130(constB25, bitIndex2)) | ((~v127(constB25, bitIndex1)) <=> v130(constB25, bitIndex1)) | ((~v127(constB25, bitIndex0)) <=> v130(constB25, bitIndex0)))))),
% 6.88/4.80 inference(quant_inst,[status(thm)],[])).
% 6.88/4.80 tff(2361,plain,
% 6.88/4.80 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB25) | (~(((~v127(constB25, bitIndex2)) <=> v130(constB25, bitIndex2)) | ((~v127(constB25, bitIndex1)) <=> v130(constB25, bitIndex1)) | ((~v127(constB25, bitIndex0)) <=> v130(constB25, bitIndex0))))),
% 6.88/4.80 inference(modus_ponens,[status(thm)],[2360, 2359])).
% 6.88/4.80 tff(2362,plain,
% 6.88/4.80 (v111(constB25) | (~(((~v127(constB25, bitIndex2)) <=> v130(constB25, bitIndex2)) | ((~v127(constB25, bitIndex1)) <=> v130(constB25, bitIndex1)) | ((~v127(constB25, bitIndex0)) <=> v130(constB25, bitIndex0))))),
% 6.88/4.80 inference(unit_resolution,[status(thm)],[2361, 566])).
% 6.88/4.80 tff(2363,plain,
% 6.88/4.80 (~(((~v127(constB25, bitIndex2)) <=> v130(constB25, bitIndex2)) | ((~v127(constB25, bitIndex1)) <=> v130(constB25, bitIndex1)) | ((~v127(constB25, bitIndex0)) <=> v130(constB25, bitIndex0)))),
% 6.88/4.80 inference(unit_resolution,[status(thm)],[2362, 2358])).
% 6.88/4.80 tff(2364,plain,
% 6.88/4.80 ((((~v127(constB25, bitIndex2)) <=> v130(constB25, bitIndex2)) | ((~v127(constB25, bitIndex1)) <=> v130(constB25, bitIndex1)) | ((~v127(constB25, bitIndex0)) <=> v130(constB25, bitIndex0))) | (~((~v127(constB25, bitIndex2)) <=> v130(constB25, bitIndex2)))),
% 6.88/4.80 inference(tautology,[status(thm)],[])).
% 6.88/4.80 tff(2365,plain,
% 6.88/4.80 (~((~v127(constB25, bitIndex2)) <=> v130(constB25, bitIndex2))),
% 6.88/4.80 inference(unit_resolution,[status(thm)],[2364, 2363])).
% 6.88/4.80 tff(2366,plain,
% 6.88/4.80 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB25) <=> (~(v90(constB25, bitIndex0) | v90(constB25, bitIndex1) | v90(constB25, bitIndex2))))),
% 6.88/4.80 inference(quant_inst,[status(thm)],[])).
% 6.88/4.80 tff(2367,plain,
% 6.88/4.80 (v119(constB25) <=> (~(v90(constB25, bitIndex0) | v90(constB25, bitIndex1) | v90(constB25, bitIndex2)))),
% 6.88/4.80 inference(unit_resolution,[status(thm)],[2366, 1085])).
% 6.88/4.80 tff(2368,plain,
% 6.88/4.80 (nextState(constB24, constB25) <=> nextState(constB24, constB25)),
% 6.88/4.80 inference(rewrite,[status(thm)],[])).
% 6.88/4.80 tff(2369,axiom,(nextState(constB24, constB25)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_24')).
% 6.88/4.80 tff(2370,plain,
% 6.88/4.80 (nextState(constB24, constB25)),
% 6.88/4.80 inference(modus_ponens,[status(thm)],[2369, 2368])).
% 6.88/4.80 tff(2371,plain,
% 6.88/4.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB24, constB25)) | (v100(constB25) <=> (~((~v101(constB25)) | (~v110(constB25))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB24, constB25)) | (v100(constB25) <=> (~((~v101(constB25)) | (~v110(constB25))))))),
% 6.88/4.80 inference(rewrite,[status(thm)],[])).
% 6.88/4.80 tff(2372,plain,
% 6.88/4.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB24, constB25)) | (v100(constB25) <=> (~((~v101(constB25)) | (~v110(constB25))))))),
% 6.88/4.80 inference(quant_inst,[status(thm)],[])).
% 6.88/4.80 tff(2373,plain,
% 6.88/4.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB24, constB25)) | (v100(constB25) <=> (~((~v101(constB25)) | (~v110(constB25)))))),
% 6.88/4.80 inference(modus_ponens,[status(thm)],[2372, 2371])).
% 6.88/4.80 tff(2374,plain,
% 6.88/4.80 (v100(constB25) <=> (~((~v101(constB25)) | (~v110(constB25))))),
% 6.88/4.80 inference(unit_resolution,[status(thm)],[2373, 2370, 445])).
% 6.88/4.80 tff(2375,plain,
% 6.88/4.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB24, constB25)) | (v101(constB25) <=> (~((~v1(constB25)) | (~v102(constB25))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB24, constB25)) | (v101(constB25) <=> (~((~v1(constB25)) | (~v102(constB25))))))),
% 6.88/4.80 inference(rewrite,[status(thm)],[])).
% 6.88/4.80 tff(2376,plain,
% 6.88/4.80 (((~nextState(constB24, constB25)) | (v101(constB25) <=> (~((~v102(constB25)) | (~v1(constB25)))))) <=> ((~nextState(constB24, constB25)) | (v101(constB25) <=> (~((~v1(constB25)) | (~v102(constB25))))))),
% 6.88/4.80 inference(rewrite,[status(thm)],[])).
% 6.88/4.80 tff(2377,plain,
% 6.88/4.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB24, constB25)) | (v101(constB25) <=> (~((~v102(constB25)) | (~v1(constB25))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB24, constB25)) | (v101(constB25) <=> (~((~v1(constB25)) | (~v102(constB25)))))))),
% 6.88/4.80 inference(monotonicity,[status(thm)],[2376])).
% 6.88/4.80 tff(2378,plain,
% 6.88/4.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB24, constB25)) | (v101(constB25) <=> (~((~v102(constB25)) | (~v1(constB25))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB24, constB25)) | (v101(constB25) <=> (~((~v1(constB25)) | (~v102(constB25))))))),
% 6.88/4.80 inference(transitivity,[status(thm)],[2377, 2375])).
% 6.88/4.80 tff(2379,plain,
% 6.88/4.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB24, constB25)) | (v101(constB25) <=> (~((~v102(constB25)) | (~v1(constB25))))))),
% 6.88/4.80 inference(quant_inst,[status(thm)],[])).
% 6.88/4.80 tff(2380,plain,
% 6.88/4.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB24, constB25)) | (v101(constB25) <=> (~((~v1(constB25)) | (~v102(constB25)))))),
% 6.88/4.80 inference(modus_ponens,[status(thm)],[2379, 2378])).
% 6.88/4.80 tff(2381,plain,
% 6.88/4.80 (v101(constB25) <=> (~((~v1(constB25)) | (~v102(constB25))))),
% 6.88/4.80 inference(unit_resolution,[status(thm)],[2380, 2370, 465])).
% 6.88/4.80 tff(2382,plain,
% 6.88/4.80 ((~v1(constB25)) <=> (~v1(constB25))),
% 6.88/4.80 inference(rewrite,[status(thm)],[])).
% 6.88/4.80 tff(2383,axiom,(~v1(constB25)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_25')).
% 6.88/4.80 tff(2384,plain,
% 6.88/4.80 (~v1(constB25)),
% 6.88/4.80 inference(modus_ponens,[status(thm)],[2383, 2382])).
% 6.88/4.80 tff(2385,plain,
% 6.88/4.80 (((~v1(constB25)) | (~v102(constB25))) | v1(constB25)),
% 6.88/4.80 inference(tautology,[status(thm)],[])).
% 6.88/4.80 tff(2386,plain,
% 6.88/4.80 ((~v1(constB25)) | (~v102(constB25))),
% 6.88/4.80 inference(unit_resolution,[status(thm)],[2385, 2384])).
% 6.88/4.80 tff(2387,plain,
% 6.88/4.80 ((~(v101(constB25) <=> (~((~v1(constB25)) | (~v102(constB25)))))) | (~v101(constB25)) | (~((~v1(constB25)) | (~v102(constB25))))),
% 6.88/4.80 inference(tautology,[status(thm)],[])).
% 6.88/4.80 tff(2388,plain,
% 6.88/4.80 ((~(v101(constB25) <=> (~((~v1(constB25)) | (~v102(constB25)))))) | (~v101(constB25))),
% 6.88/4.80 inference(unit_resolution,[status(thm)],[2387, 2386])).
% 6.88/4.80 tff(2389,plain,
% 6.88/4.80 (~v101(constB25)),
% 6.88/4.80 inference(unit_resolution,[status(thm)],[2388, 2381])).
% 6.88/4.80 tff(2390,plain,
% 6.88/4.80 (((~v101(constB25)) | (~v110(constB25))) | v101(constB25)),
% 6.88/4.80 inference(tautology,[status(thm)],[])).
% 6.88/4.80 tff(2391,plain,
% 6.88/4.80 ((~v101(constB25)) | (~v110(constB25))),
% 6.88/4.80 inference(unit_resolution,[status(thm)],[2390, 2389])).
% 6.88/4.80 tff(2392,plain,
% 6.88/4.80 ((~(v100(constB25) <=> (~((~v101(constB25)) | (~v110(constB25)))))) | (~v100(constB25)) | (~((~v101(constB25)) | (~v110(constB25))))),
% 6.88/4.80 inference(tautology,[status(thm)],[])).
% 6.88/4.80 tff(2393,plain,
% 6.88/4.80 (~v100(constB25)),
% 6.88/4.80 inference(unit_resolution,[status(thm)],[2392, 2391, 2374])).
% 6.88/4.80 tff(2394,plain,
% 6.88/4.80 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB25) | (~nextState(constB24, constB25)) | (~(((~v90(constB25, bitIndex1)) <=> v90(constB24, bitIndex1)) | ((~v90(constB25, bitIndex2)) <=> v90(constB24, bitIndex2)) | ((~v90(constB25, bitIndex0)) <=> v90(constB24, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB25) | (~nextState(constB24, constB25)) | (~(((~v90(constB25, bitIndex1)) <=> v90(constB24, bitIndex1)) | ((~v90(constB25, bitIndex2)) <=> v90(constB24, bitIndex2)) | ((~v90(constB25, bitIndex0)) <=> v90(constB24, bitIndex0)))))),
% 6.88/4.80 inference(rewrite,[status(thm)],[])).
% 6.88/4.80 tff(2395,plain,
% 6.88/4.80 ((v100(constB25) | (~nextState(constB24, constB25)) | (~(((~v90(constB25, bitIndex2)) <=> v90(constB24, bitIndex2)) | ((~v90(constB25, bitIndex1)) <=> v90(constB24, bitIndex1)) | ((~v90(constB25, bitIndex0)) <=> v90(constB24, bitIndex0))))) <=> (v100(constB25) | (~nextState(constB24, constB25)) | (~(((~v90(constB25, bitIndex1)) <=> v90(constB24, bitIndex1)) | ((~v90(constB25, bitIndex2)) <=> v90(constB24, bitIndex2)) | ((~v90(constB25, bitIndex0)) <=> v90(constB24, bitIndex0)))))),
% 6.88/4.80 inference(rewrite,[status(thm)],[])).
% 6.88/4.80 tff(2396,plain,
% 6.88/4.80 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB25) | (~nextState(constB24, constB25)) | (~(((~v90(constB25, bitIndex2)) <=> v90(constB24, bitIndex2)) | ((~v90(constB25, bitIndex1)) <=> v90(constB24, bitIndex1)) | ((~v90(constB25, bitIndex0)) <=> v90(constB24, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB25) | (~nextState(constB24, constB25)) | (~(((~v90(constB25, bitIndex1)) <=> v90(constB24, bitIndex1)) | ((~v90(constB25, bitIndex2)) <=> v90(constB24, bitIndex2)) | ((~v90(constB25, bitIndex0)) <=> v90(constB24, bitIndex0))))))),
% 6.88/4.80 inference(monotonicity,[status(thm)],[2395])).
% 6.88/4.80 tff(2397,plain,
% 6.88/4.80 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB25) | (~nextState(constB24, constB25)) | (~(((~v90(constB25, bitIndex2)) <=> v90(constB24, bitIndex2)) | ((~v90(constB25, bitIndex1)) <=> v90(constB24, bitIndex1)) | ((~v90(constB25, bitIndex0)) <=> v90(constB24, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB25) | (~nextState(constB24, constB25)) | (~(((~v90(constB25, bitIndex1)) <=> v90(constB24, bitIndex1)) | ((~v90(constB25, bitIndex2)) <=> v90(constB24, bitIndex2)) | ((~v90(constB25, bitIndex0)) <=> v90(constB24, bitIndex0)))))),
% 6.88/4.80 inference(transitivity,[status(thm)],[2396, 2394])).
% 6.88/4.80 tff(2398,plain,
% 6.88/4.80 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB25) | (~nextState(constB24, constB25)) | (~(((~v90(constB25, bitIndex2)) <=> v90(constB24, bitIndex2)) | ((~v90(constB25, bitIndex1)) <=> v90(constB24, bitIndex1)) | ((~v90(constB25, bitIndex0)) <=> v90(constB24, bitIndex0)))))),
% 6.88/4.80 inference(quant_inst,[status(thm)],[])).
% 6.88/4.80 tff(2399,plain,
% 6.88/4.80 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB25) | (~nextState(constB24, constB25)) | (~(((~v90(constB25, bitIndex1)) <=> v90(constB24, bitIndex1)) | ((~v90(constB25, bitIndex2)) <=> v90(constB24, bitIndex2)) | ((~v90(constB25, bitIndex0)) <=> v90(constB24, bitIndex0))))),
% 6.88/4.80 inference(modus_ponens,[status(thm)],[2398, 2397])).
% 6.88/4.80 tff(2400,plain,
% 6.88/4.80 (v100(constB25) | (~(((~v90(constB25, bitIndex1)) <=> v90(constB24, bitIndex1)) | ((~v90(constB25, bitIndex2)) <=> v90(constB24, bitIndex2)) | ((~v90(constB25, bitIndex0)) <=> v90(constB24, bitIndex0))))),
% 6.88/4.80 inference(unit_resolution,[status(thm)],[2399, 2370, 494])).
% 6.88/4.80 tff(2401,plain,
% 6.88/4.80 (~(((~v90(constB25, bitIndex1)) <=> v90(constB24, bitIndex1)) | ((~v90(constB25, bitIndex2)) <=> v90(constB24, bitIndex2)) | ((~v90(constB25, bitIndex0)) <=> v90(constB24, bitIndex0)))),
% 6.88/4.80 inference(unit_resolution,[status(thm)],[2400, 2393])).
% 6.88/4.80 tff(2402,plain,
% 6.88/4.80 ((((~v90(constB25, bitIndex1)) <=> v90(constB24, bitIndex1)) | ((~v90(constB25, bitIndex2)) <=> v90(constB24, bitIndex2)) | ((~v90(constB25, bitIndex0)) <=> v90(constB24, bitIndex0))) | (~((~v90(constB25, bitIndex2)) <=> v90(constB24, bitIndex2)))),
% 6.88/4.80 inference(tautology,[status(thm)],[])).
% 6.88/4.80 tff(2403,plain,
% 6.88/4.80 (~((~v90(constB25, bitIndex2)) <=> v90(constB24, bitIndex2))),
% 6.88/4.80 inference(unit_resolution,[status(thm)],[2402, 2401])).
% 6.88/4.80 tff(2404,plain,
% 6.88/4.80 (nextState(constB23, constB24) <=> nextState(constB23, constB24)),
% 6.88/4.80 inference(rewrite,[status(thm)],[])).
% 6.88/4.80 tff(2405,axiom,(nextState(constB23, constB24)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_23')).
% 6.88/4.80 tff(2406,plain,
% 6.88/4.80 (nextState(constB23, constB24)),
% 6.88/4.80 inference(modus_ponens,[status(thm)],[2405, 2404])).
% 6.88/4.80 tff(2407,plain,
% 6.88/4.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB23, constB24)) | (~(((~v129(constB24, bitIndex2)) <=> v127(constB23, bitIndex2)) | ((~v129(constB24, bitIndex1)) <=> v127(constB23, bitIndex1)) | ((~v129(constB24, bitIndex0)) <=> v127(constB23, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB23, constB24)) | (~(((~v129(constB24, bitIndex2)) <=> v127(constB23, bitIndex2)) | ((~v129(constB24, bitIndex1)) <=> v127(constB23, bitIndex1)) | ((~v129(constB24, bitIndex0)) <=> v127(constB23, bitIndex0)))))),
% 6.88/4.80 inference(rewrite,[status(thm)],[])).
% 6.88/4.80 tff(2408,plain,
% 6.88/4.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB23, constB24)) | (~(((~v129(constB24, bitIndex2)) <=> v127(constB23, bitIndex2)) | ((~v129(constB24, bitIndex1)) <=> v127(constB23, bitIndex1)) | ((~v129(constB24, bitIndex0)) <=> v127(constB23, bitIndex0)))))),
% 6.88/4.80 inference(quant_inst,[status(thm)],[])).
% 6.88/4.80 tff(2409,plain,
% 6.88/4.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB23, constB24)) | (~(((~v129(constB24, bitIndex2)) <=> v127(constB23, bitIndex2)) | ((~v129(constB24, bitIndex1)) <=> v127(constB23, bitIndex1)) | ((~v129(constB24, bitIndex0)) <=> v127(constB23, bitIndex0))))),
% 6.88/4.80 inference(modus_ponens,[status(thm)],[2408, 2407])).
% 6.88/4.80 tff(2410,plain,
% 6.88/4.80 (~(((~v129(constB24, bitIndex2)) <=> v127(constB23, bitIndex2)) | ((~v129(constB24, bitIndex1)) <=> v127(constB23, bitIndex1)) | ((~v129(constB24, bitIndex0)) <=> v127(constB23, bitIndex0)))),
% 6.88/4.80 inference(unit_resolution,[status(thm)],[2409, 2406, 517])).
% 6.88/4.80 tff(2411,plain,
% 6.88/4.80 ((((~v129(constB24, bitIndex2)) <=> v127(constB23, bitIndex2)) | ((~v129(constB24, bitIndex1)) <=> v127(constB23, bitIndex1)) | ((~v129(constB24, bitIndex0)) <=> v127(constB23, bitIndex0))) | (~((~v129(constB24, bitIndex2)) <=> v127(constB23, bitIndex2)))),
% 6.88/4.80 inference(tautology,[status(thm)],[])).
% 6.88/4.80 tff(2412,plain,
% 6.88/4.80 (~((~v129(constB24, bitIndex2)) <=> v127(constB23, bitIndex2))),
% 6.88/4.80 inference(unit_resolution,[status(thm)],[2411, 2410])).
% 6.88/4.80 tff(2413,plain,
% 6.88/4.80 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB23) <=> v26(constB23))),
% 6.88/4.80 inference(quant_inst,[status(thm)],[])).
% 6.88/4.81 tff(2414,plain,
% 6.88/4.81 (v111(constB23) <=> v26(constB23)),
% 6.88/4.81 inference(unit_resolution,[status(thm)],[2413, 536])).
% 6.88/4.81 tff(2415,plain,
% 6.88/4.81 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB23))),
% 6.88/4.81 inference(quant_inst,[status(thm)],[])).
% 6.88/4.81 tff(2416,plain,
% 6.88/4.81 (~v26(constB23)),
% 6.88/4.81 inference(unit_resolution,[status(thm)],[2415, 548])).
% 6.88/4.81 tff(2417,plain,
% 6.88/4.81 ((~(v111(constB23) <=> v26(constB23))) | (~v111(constB23)) | v26(constB23)),
% 6.88/4.81 inference(tautology,[status(thm)],[])).
% 6.88/4.81 tff(2418,plain,
% 6.88/4.81 ((~(v111(constB23) <=> v26(constB23))) | (~v111(constB23))),
% 6.88/4.81 inference(unit_resolution,[status(thm)],[2417, 2416])).
% 6.88/4.81 tff(2419,plain,
% 6.88/4.81 (~v111(constB23)),
% 6.88/4.81 inference(unit_resolution,[status(thm)],[2418, 2414])).
% 6.88/4.81 tff(2420,plain,
% 6.88/4.81 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB23) | (~(((~v127(constB23, bitIndex2)) <=> v130(constB23, bitIndex2)) | ((~v127(constB23, bitIndex1)) <=> v130(constB23, bitIndex1)) | ((~v127(constB23, bitIndex0)) <=> v130(constB23, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB23) | (~(((~v127(constB23, bitIndex2)) <=> v130(constB23, bitIndex2)) | ((~v127(constB23, bitIndex1)) <=> v130(constB23, bitIndex1)) | ((~v127(constB23, bitIndex0)) <=> v130(constB23, bitIndex0)))))),
% 6.88/4.81 inference(rewrite,[status(thm)],[])).
% 6.88/4.81 tff(2421,plain,
% 6.88/4.81 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB23) | (~(((~v127(constB23, bitIndex2)) <=> v130(constB23, bitIndex2)) | ((~v127(constB23, bitIndex1)) <=> v130(constB23, bitIndex1)) | ((~v127(constB23, bitIndex0)) <=> v130(constB23, bitIndex0)))))),
% 6.88/4.81 inference(quant_inst,[status(thm)],[])).
% 6.88/4.81 tff(2422,plain,
% 6.88/4.81 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB23) | (~(((~v127(constB23, bitIndex2)) <=> v130(constB23, bitIndex2)) | ((~v127(constB23, bitIndex1)) <=> v130(constB23, bitIndex1)) | ((~v127(constB23, bitIndex0)) <=> v130(constB23, bitIndex0))))),
% 6.88/4.81 inference(modus_ponens,[status(thm)],[2421, 2420])).
% 6.88/4.81 tff(2423,plain,
% 6.88/4.81 (v111(constB23) | (~(((~v127(constB23, bitIndex2)) <=> v130(constB23, bitIndex2)) | ((~v127(constB23, bitIndex1)) <=> v130(constB23, bitIndex1)) | ((~v127(constB23, bitIndex0)) <=> v130(constB23, bitIndex0))))),
% 6.88/4.81 inference(unit_resolution,[status(thm)],[2422, 566])).
% 6.88/4.81 tff(2424,plain,
% 6.88/4.81 (~(((~v127(constB23, bitIndex2)) <=> v130(constB23, bitIndex2)) | ((~v127(constB23, bitIndex1)) <=> v130(constB23, bitIndex1)) | ((~v127(constB23, bitIndex0)) <=> v130(constB23, bitIndex0)))),
% 6.88/4.81 inference(unit_resolution,[status(thm)],[2423, 2419])).
% 6.88/4.81 tff(2425,plain,
% 6.88/4.81 ((((~v127(constB23, bitIndex2)) <=> v130(constB23, bitIndex2)) | ((~v127(constB23, bitIndex1)) <=> v130(constB23, bitIndex1)) | ((~v127(constB23, bitIndex0)) <=> v130(constB23, bitIndex0))) | (~((~v127(constB23, bitIndex2)) <=> v130(constB23, bitIndex2)))),
% 6.88/4.81 inference(tautology,[status(thm)],[])).
% 6.88/4.81 tff(2426,plain,
% 6.88/4.81 (~((~v127(constB23, bitIndex2)) <=> v130(constB23, bitIndex2))),
% 6.88/4.81 inference(unit_resolution,[status(thm)],[2425, 2424])).
% 6.88/4.81 tff(2427,plain,
% 6.88/4.81 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB23) <=> (~(v90(constB23, bitIndex1) | v90(constB23, bitIndex0) | (~v90(constB23, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB23) <=> (~(v90(constB23, bitIndex1) | v90(constB23, bitIndex0) | (~v90(constB23, bitIndex2))))))),
% 6.88/4.81 inference(rewrite,[status(thm)],[])).
% 6.88/4.81 tff(2428,plain,
% 6.88/4.81 ((v123(constB23) <=> (~(v90(constB23, bitIndex0) | v90(constB23, bitIndex1) | (~v90(constB23, bitIndex2))))) <=> (v123(constB23) <=> (~(v90(constB23, bitIndex1) | v90(constB23, bitIndex0) | (~v90(constB23, bitIndex2)))))),
% 6.88/4.81 inference(rewrite,[status(thm)],[])).
% 6.88/4.81 tff(2429,plain,
% 6.88/4.81 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB23) <=> (~(v90(constB23, bitIndex0) | v90(constB23, bitIndex1) | (~v90(constB23, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB23) <=> (~(v90(constB23, bitIndex1) | v90(constB23, bitIndex0) | (~v90(constB23, bitIndex2))))))),
% 6.88/4.81 inference(monotonicity,[status(thm)],[2428])).
% 6.88/4.81 tff(2430,plain,
% 6.88/4.81 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB23) <=> (~(v90(constB23, bitIndex0) | v90(constB23, bitIndex1) | (~v90(constB23, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB23) <=> (~(v90(constB23, bitIndex1) | v90(constB23, bitIndex0) | (~v90(constB23, bitIndex2))))))),
% 6.88/4.81 inference(transitivity,[status(thm)],[2429, 2427])).
% 6.88/4.81 tff(2431,plain,
% 6.88/4.81 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB23) <=> (~(v90(constB23, bitIndex0) | v90(constB23, bitIndex1) | (~v90(constB23, bitIndex2)))))),
% 6.88/4.81 inference(quant_inst,[status(thm)],[])).
% 6.88/4.81 tff(2432,plain,
% 6.88/4.81 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB23) <=> (~(v90(constB23, bitIndex1) | v90(constB23, bitIndex0) | (~v90(constB23, bitIndex2)))))),
% 6.88/4.81 inference(modus_ponens,[status(thm)],[2431, 2430])).
% 6.88/4.81 tff(2433,plain,
% 6.88/4.81 (v123(constB23) <=> (~(v90(constB23, bitIndex1) | v90(constB23, bitIndex0) | (~v90(constB23, bitIndex2))))),
% 6.88/4.81 inference(unit_resolution,[status(thm)],[2432, 800])).
% 6.88/4.81 tff(2434,plain,
% 6.88/4.81 (nextState(constB22, constB23) <=> nextState(constB22, constB23)),
% 6.88/4.81 inference(rewrite,[status(thm)],[])).
% 6.88/4.81 tff(2435,axiom,(nextState(constB22, constB23)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_22')).
% 6.88/4.81 tff(2436,plain,
% 6.88/4.81 (nextState(constB22, constB23)),
% 6.88/4.81 inference(modus_ponens,[status(thm)],[2435, 2434])).
% 6.88/4.81 tff(2437,plain,
% 6.88/4.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB22, constB23)) | (v100(constB23) <=> (~((~v101(constB23)) | (~v110(constB23))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB22, constB23)) | (v100(constB23) <=> (~((~v101(constB23)) | (~v110(constB23))))))),
% 6.88/4.81 inference(rewrite,[status(thm)],[])).
% 6.88/4.81 tff(2438,plain,
% 6.88/4.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB22, constB23)) | (v100(constB23) <=> (~((~v101(constB23)) | (~v110(constB23))))))),
% 6.88/4.81 inference(quant_inst,[status(thm)],[])).
% 6.88/4.81 tff(2439,plain,
% 6.88/4.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB22, constB23)) | (v100(constB23) <=> (~((~v101(constB23)) | (~v110(constB23)))))),
% 6.88/4.81 inference(modus_ponens,[status(thm)],[2438, 2437])).
% 6.88/4.81 tff(2440,plain,
% 6.88/4.81 (v100(constB23) <=> (~((~v101(constB23)) | (~v110(constB23))))),
% 6.88/4.81 inference(unit_resolution,[status(thm)],[2439, 2436, 445])).
% 6.88/4.81 tff(2441,plain,
% 6.88/4.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB22, constB23)) | (v101(constB23) <=> (~((~v1(constB23)) | (~v102(constB23))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB22, constB23)) | (v101(constB23) <=> (~((~v1(constB23)) | (~v102(constB23))))))),
% 6.88/4.81 inference(rewrite,[status(thm)],[])).
% 6.88/4.81 tff(2442,plain,
% 6.88/4.81 (((~nextState(constB22, constB23)) | (v101(constB23) <=> (~((~v102(constB23)) | (~v1(constB23)))))) <=> ((~nextState(constB22, constB23)) | (v101(constB23) <=> (~((~v1(constB23)) | (~v102(constB23))))))),
% 6.88/4.81 inference(rewrite,[status(thm)],[])).
% 6.88/4.81 tff(2443,plain,
% 6.88/4.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB22, constB23)) | (v101(constB23) <=> (~((~v102(constB23)) | (~v1(constB23))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB22, constB23)) | (v101(constB23) <=> (~((~v1(constB23)) | (~v102(constB23)))))))),
% 6.88/4.81 inference(monotonicity,[status(thm)],[2442])).
% 6.88/4.81 tff(2444,plain,
% 6.88/4.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB22, constB23)) | (v101(constB23) <=> (~((~v102(constB23)) | (~v1(constB23))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB22, constB23)) | (v101(constB23) <=> (~((~v1(constB23)) | (~v102(constB23))))))),
% 6.88/4.81 inference(transitivity,[status(thm)],[2443, 2441])).
% 6.88/4.81 tff(2445,plain,
% 6.88/4.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB22, constB23)) | (v101(constB23) <=> (~((~v102(constB23)) | (~v1(constB23))))))),
% 6.88/4.81 inference(quant_inst,[status(thm)],[])).
% 6.88/4.81 tff(2446,plain,
% 6.88/4.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB22, constB23)) | (v101(constB23) <=> (~((~v1(constB23)) | (~v102(constB23)))))),
% 6.88/4.81 inference(modus_ponens,[status(thm)],[2445, 2444])).
% 6.88/4.81 tff(2447,plain,
% 6.88/4.81 (v101(constB23) <=> (~((~v1(constB23)) | (~v102(constB23))))),
% 6.88/4.81 inference(unit_resolution,[status(thm)],[2446, 2436, 465])).
% 6.88/4.81 tff(2448,plain,
% 6.88/4.81 ((~v1(constB23)) <=> (~v1(constB23))),
% 6.88/4.81 inference(rewrite,[status(thm)],[])).
% 6.88/4.81 tff(2449,axiom,(~v1(constB23)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_23')).
% 6.88/4.81 tff(2450,plain,
% 6.88/4.81 (~v1(constB23)),
% 6.88/4.81 inference(modus_ponens,[status(thm)],[2449, 2448])).
% 6.88/4.81 tff(2451,plain,
% 6.88/4.81 (((~v1(constB23)) | (~v102(constB23))) | v1(constB23)),
% 6.88/4.81 inference(tautology,[status(thm)],[])).
% 6.88/4.81 tff(2452,plain,
% 6.88/4.81 ((~v1(constB23)) | (~v102(constB23))),
% 6.88/4.81 inference(unit_resolution,[status(thm)],[2451, 2450])).
% 6.88/4.81 tff(2453,plain,
% 6.88/4.81 ((~(v101(constB23) <=> (~((~v1(constB23)) | (~v102(constB23)))))) | (~v101(constB23)) | (~((~v1(constB23)) | (~v102(constB23))))),
% 6.88/4.81 inference(tautology,[status(thm)],[])).
% 6.88/4.81 tff(2454,plain,
% 6.88/4.81 ((~(v101(constB23) <=> (~((~v1(constB23)) | (~v102(constB23)))))) | (~v101(constB23))),
% 6.88/4.81 inference(unit_resolution,[status(thm)],[2453, 2452])).
% 6.88/4.81 tff(2455,plain,
% 6.88/4.81 (~v101(constB23)),
% 6.88/4.81 inference(unit_resolution,[status(thm)],[2454, 2447])).
% 6.88/4.81 tff(2456,plain,
% 6.88/4.81 (((~v101(constB23)) | (~v110(constB23))) | v101(constB23)),
% 6.88/4.81 inference(tautology,[status(thm)],[])).
% 6.88/4.81 tff(2457,plain,
% 6.88/4.81 ((~v101(constB23)) | (~v110(constB23))),
% 6.88/4.81 inference(unit_resolution,[status(thm)],[2456, 2455])).
% 6.88/4.81 tff(2458,plain,
% 6.88/4.81 ((~(v100(constB23) <=> (~((~v101(constB23)) | (~v110(constB23)))))) | (~v100(constB23)) | (~((~v101(constB23)) | (~v110(constB23))))),
% 6.88/4.81 inference(tautology,[status(thm)],[])).
% 6.88/4.81 tff(2459,plain,
% 6.88/4.81 (~v100(constB23)),
% 6.88/4.81 inference(unit_resolution,[status(thm)],[2458, 2457, 2440])).
% 6.88/4.81 tff(2460,plain,
% 6.88/4.81 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB23) | (~nextState(constB22, constB23)) | (~(((~v90(constB23, bitIndex1)) <=> v90(constB22, bitIndex1)) | ((~v90(constB23, bitIndex2)) <=> v90(constB22, bitIndex2)) | ((~v90(constB23, bitIndex0)) <=> v90(constB22, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB23) | (~nextState(constB22, constB23)) | (~(((~v90(constB23, bitIndex1)) <=> v90(constB22, bitIndex1)) | ((~v90(constB23, bitIndex2)) <=> v90(constB22, bitIndex2)) | ((~v90(constB23, bitIndex0)) <=> v90(constB22, bitIndex0)))))),
% 6.88/4.81 inference(rewrite,[status(thm)],[])).
% 6.88/4.81 tff(2461,plain,
% 6.88/4.81 ((v100(constB23) | (~nextState(constB22, constB23)) | (~(((~v90(constB23, bitIndex2)) <=> v90(constB22, bitIndex2)) | ((~v90(constB23, bitIndex1)) <=> v90(constB22, bitIndex1)) | ((~v90(constB23, bitIndex0)) <=> v90(constB22, bitIndex0))))) <=> (v100(constB23) | (~nextState(constB22, constB23)) | (~(((~v90(constB23, bitIndex1)) <=> v90(constB22, bitIndex1)) | ((~v90(constB23, bitIndex2)) <=> v90(constB22, bitIndex2)) | ((~v90(constB23, bitIndex0)) <=> v90(constB22, bitIndex0)))))),
% 6.88/4.81 inference(rewrite,[status(thm)],[])).
% 6.88/4.81 tff(2462,plain,
% 6.88/4.81 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB23) | (~nextState(constB22, constB23)) | (~(((~v90(constB23, bitIndex2)) <=> v90(constB22, bitIndex2)) | ((~v90(constB23, bitIndex1)) <=> v90(constB22, bitIndex1)) | ((~v90(constB23, bitIndex0)) <=> v90(constB22, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB23) | (~nextState(constB22, constB23)) | (~(((~v90(constB23, bitIndex1)) <=> v90(constB22, bitIndex1)) | ((~v90(constB23, bitIndex2)) <=> v90(constB22, bitIndex2)) | ((~v90(constB23, bitIndex0)) <=> v90(constB22, bitIndex0))))))),
% 6.88/4.81 inference(monotonicity,[status(thm)],[2461])).
% 6.88/4.81 tff(2463,plain,
% 6.88/4.81 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB23) | (~nextState(constB22, constB23)) | (~(((~v90(constB23, bitIndex2)) <=> v90(constB22, bitIndex2)) | ((~v90(constB23, bitIndex1)) <=> v90(constB22, bitIndex1)) | ((~v90(constB23, bitIndex0)) <=> v90(constB22, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB23) | (~nextState(constB22, constB23)) | (~(((~v90(constB23, bitIndex1)) <=> v90(constB22, bitIndex1)) | ((~v90(constB23, bitIndex2)) <=> v90(constB22, bitIndex2)) | ((~v90(constB23, bitIndex0)) <=> v90(constB22, bitIndex0)))))),
% 6.88/4.81 inference(transitivity,[status(thm)],[2462, 2460])).
% 6.88/4.81 tff(2464,plain,
% 6.88/4.81 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB23) | (~nextState(constB22, constB23)) | (~(((~v90(constB23, bitIndex2)) <=> v90(constB22, bitIndex2)) | ((~v90(constB23, bitIndex1)) <=> v90(constB22, bitIndex1)) | ((~v90(constB23, bitIndex0)) <=> v90(constB22, bitIndex0)))))),
% 6.88/4.81 inference(quant_inst,[status(thm)],[])).
% 6.88/4.81 tff(2465,plain,
% 6.88/4.81 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB23) | (~nextState(constB22, constB23)) | (~(((~v90(constB23, bitIndex1)) <=> v90(constB22, bitIndex1)) | ((~v90(constB23, bitIndex2)) <=> v90(constB22, bitIndex2)) | ((~v90(constB23, bitIndex0)) <=> v90(constB22, bitIndex0))))),
% 6.88/4.81 inference(modus_ponens,[status(thm)],[2464, 2463])).
% 6.88/4.81 tff(2466,plain,
% 6.88/4.81 (v100(constB23) | (~(((~v90(constB23, bitIndex1)) <=> v90(constB22, bitIndex1)) | ((~v90(constB23, bitIndex2)) <=> v90(constB22, bitIndex2)) | ((~v90(constB23, bitIndex0)) <=> v90(constB22, bitIndex0))))),
% 6.88/4.81 inference(unit_resolution,[status(thm)],[2465, 2436, 494])).
% 6.88/4.81 tff(2467,plain,
% 6.88/4.81 (~(((~v90(constB23, bitIndex1)) <=> v90(constB22, bitIndex1)) | ((~v90(constB23, bitIndex2)) <=> v90(constB22, bitIndex2)) | ((~v90(constB23, bitIndex0)) <=> v90(constB22, bitIndex0)))),
% 6.88/4.81 inference(unit_resolution,[status(thm)],[2466, 2459])).
% 6.88/4.81 tff(2468,plain,
% 6.88/4.81 ((((~v90(constB23, bitIndex1)) <=> v90(constB22, bitIndex1)) | ((~v90(constB23, bitIndex2)) <=> v90(constB22, bitIndex2)) | ((~v90(constB23, bitIndex0)) <=> v90(constB22, bitIndex0))) | (~((~v90(constB23, bitIndex2)) <=> v90(constB22, bitIndex2)))),
% 6.88/4.81 inference(tautology,[status(thm)],[])).
% 6.88/4.81 tff(2469,plain,
% 6.88/4.81 (~((~v90(constB23, bitIndex2)) <=> v90(constB22, bitIndex2))),
% 6.88/4.81 inference(unit_resolution,[status(thm)],[2468, 2467])).
% 6.88/4.81 tff(2470,plain,
% 6.88/4.81 (nextState(constB21, constB22) <=> nextState(constB21, constB22)),
% 6.88/4.81 inference(rewrite,[status(thm)],[])).
% 6.88/4.81 tff(2471,axiom,(nextState(constB21, constB22)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_21')).
% 6.88/4.81 tff(2472,plain,
% 6.88/4.81 (nextState(constB21, constB22)),
% 6.88/4.81 inference(modus_ponens,[status(thm)],[2471, 2470])).
% 6.88/4.81 tff(2473,plain,
% 6.88/4.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB21, constB22)) | (~(((~v129(constB22, bitIndex2)) <=> v127(constB21, bitIndex2)) | ((~v129(constB22, bitIndex1)) <=> v127(constB21, bitIndex1)) | ((~v129(constB22, bitIndex0)) <=> v127(constB21, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB21, constB22)) | (~(((~v129(constB22, bitIndex2)) <=> v127(constB21, bitIndex2)) | ((~v129(constB22, bitIndex1)) <=> v127(constB21, bitIndex1)) | ((~v129(constB22, bitIndex0)) <=> v127(constB21, bitIndex0)))))),
% 6.88/4.81 inference(rewrite,[status(thm)],[])).
% 6.88/4.81 tff(2474,plain,
% 6.88/4.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB21, constB22)) | (~(((~v129(constB22, bitIndex2)) <=> v127(constB21, bitIndex2)) | ((~v129(constB22, bitIndex1)) <=> v127(constB21, bitIndex1)) | ((~v129(constB22, bitIndex0)) <=> v127(constB21, bitIndex0)))))),
% 6.88/4.81 inference(quant_inst,[status(thm)],[])).
% 6.88/4.81 tff(2475,plain,
% 6.88/4.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB21, constB22)) | (~(((~v129(constB22, bitIndex2)) <=> v127(constB21, bitIndex2)) | ((~v129(constB22, bitIndex1)) <=> v127(constB21, bitIndex1)) | ((~v129(constB22, bitIndex0)) <=> v127(constB21, bitIndex0))))),
% 6.88/4.81 inference(modus_ponens,[status(thm)],[2474, 2473])).
% 6.88/4.81 tff(2476,plain,
% 6.88/4.81 (~(((~v129(constB22, bitIndex2)) <=> v127(constB21, bitIndex2)) | ((~v129(constB22, bitIndex1)) <=> v127(constB21, bitIndex1)) | ((~v129(constB22, bitIndex0)) <=> v127(constB21, bitIndex0)))),
% 6.88/4.81 inference(unit_resolution,[status(thm)],[2475, 2472, 517])).
% 6.88/4.81 tff(2477,plain,
% 6.88/4.81 ((((~v129(constB22, bitIndex2)) <=> v127(constB21, bitIndex2)) | ((~v129(constB22, bitIndex1)) <=> v127(constB21, bitIndex1)) | ((~v129(constB22, bitIndex0)) <=> v127(constB21, bitIndex0))) | (~((~v129(constB22, bitIndex2)) <=> v127(constB21, bitIndex2)))),
% 6.88/4.81 inference(tautology,[status(thm)],[])).
% 6.88/4.81 tff(2478,plain,
% 6.88/4.81 (~((~v129(constB22, bitIndex2)) <=> v127(constB21, bitIndex2))),
% 6.88/4.81 inference(unit_resolution,[status(thm)],[2477, 2476])).
% 6.88/4.81 tff(2479,plain,
% 6.88/4.81 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB21) <=> v26(constB21))),
% 6.88/4.81 inference(quant_inst,[status(thm)],[])).
% 6.88/4.81 tff(2480,plain,
% 6.88/4.81 (v111(constB21) <=> v26(constB21)),
% 6.88/4.81 inference(unit_resolution,[status(thm)],[2479, 536])).
% 6.88/4.81 tff(2481,plain,
% 6.88/4.81 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB21))),
% 6.88/4.81 inference(quant_inst,[status(thm)],[])).
% 6.88/4.81 tff(2482,plain,
% 6.88/4.81 (~v26(constB21)),
% 6.88/4.81 inference(unit_resolution,[status(thm)],[2481, 548])).
% 6.88/4.81 tff(2483,plain,
% 6.88/4.81 ((~(v111(constB21) <=> v26(constB21))) | (~v111(constB21)) | v26(constB21)),
% 6.88/4.81 inference(tautology,[status(thm)],[])).
% 6.88/4.81 tff(2484,plain,
% 6.88/4.81 ((~(v111(constB21) <=> v26(constB21))) | (~v111(constB21))),
% 6.88/4.81 inference(unit_resolution,[status(thm)],[2483, 2482])).
% 6.88/4.81 tff(2485,plain,
% 6.88/4.81 (~v111(constB21)),
% 6.88/4.81 inference(unit_resolution,[status(thm)],[2484, 2480])).
% 6.88/4.81 tff(2486,plain,
% 6.88/4.81 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB21) | (~(((~v127(constB21, bitIndex2)) <=> v130(constB21, bitIndex2)) | ((~v127(constB21, bitIndex1)) <=> v130(constB21, bitIndex1)) | ((~v127(constB21, bitIndex0)) <=> v130(constB21, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB21) | (~(((~v127(constB21, bitIndex2)) <=> v130(constB21, bitIndex2)) | ((~v127(constB21, bitIndex1)) <=> v130(constB21, bitIndex1)) | ((~v127(constB21, bitIndex0)) <=> v130(constB21, bitIndex0)))))),
% 6.88/4.81 inference(rewrite,[status(thm)],[])).
% 6.88/4.81 tff(2487,plain,
% 6.88/4.81 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB21) | (~(((~v127(constB21, bitIndex2)) <=> v130(constB21, bitIndex2)) | ((~v127(constB21, bitIndex1)) <=> v130(constB21, bitIndex1)) | ((~v127(constB21, bitIndex0)) <=> v130(constB21, bitIndex0)))))),
% 6.88/4.81 inference(quant_inst,[status(thm)],[])).
% 6.88/4.81 tff(2488,plain,
% 6.88/4.81 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB21) | (~(((~v127(constB21, bitIndex2)) <=> v130(constB21, bitIndex2)) | ((~v127(constB21, bitIndex1)) <=> v130(constB21, bitIndex1)) | ((~v127(constB21, bitIndex0)) <=> v130(constB21, bitIndex0))))),
% 6.88/4.81 inference(modus_ponens,[status(thm)],[2487, 2486])).
% 6.88/4.81 tff(2489,plain,
% 6.88/4.81 (v111(constB21) | (~(((~v127(constB21, bitIndex2)) <=> v130(constB21, bitIndex2)) | ((~v127(constB21, bitIndex1)) <=> v130(constB21, bitIndex1)) | ((~v127(constB21, bitIndex0)) <=> v130(constB21, bitIndex0))))),
% 6.88/4.81 inference(unit_resolution,[status(thm)],[2488, 566])).
% 6.88/4.81 tff(2490,plain,
% 6.88/4.81 (~(((~v127(constB21, bitIndex2)) <=> v130(constB21, bitIndex2)) | ((~v127(constB21, bitIndex1)) <=> v130(constB21, bitIndex1)) | ((~v127(constB21, bitIndex0)) <=> v130(constB21, bitIndex0)))),
% 6.88/4.81 inference(unit_resolution,[status(thm)],[2489, 2485])).
% 6.88/4.81 tff(2491,plain,
% 6.88/4.81 ((((~v127(constB21, bitIndex2)) <=> v130(constB21, bitIndex2)) | ((~v127(constB21, bitIndex1)) <=> v130(constB21, bitIndex1)) | ((~v127(constB21, bitIndex0)) <=> v130(constB21, bitIndex0))) | (~((~v127(constB21, bitIndex2)) <=> v130(constB21, bitIndex2)))),
% 6.88/4.81 inference(tautology,[status(thm)],[])).
% 6.88/4.81 tff(2492,plain,
% 6.88/4.81 (~((~v127(constB21, bitIndex2)) <=> v130(constB21, bitIndex2))),
% 6.88/4.81 inference(unit_resolution,[status(thm)],[2491, 2490])).
% 6.88/4.81 tff(2493,plain,
% 6.88/4.81 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB21) <=> (~(v90(constB21, bitIndex2) | (~v90(constB21, bitIndex1)) | (~v90(constB21, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB21) <=> (~(v90(constB21, bitIndex2) | (~v90(constB21, bitIndex1)) | (~v90(constB21, bitIndex0))))))),
% 6.88/4.81 inference(rewrite,[status(thm)],[])).
% 6.88/4.81 tff(2494,plain,
% 6.88/4.81 ((v122(constB21) <=> (~(v90(constB21, bitIndex2) | (~v90(constB21, bitIndex0)) | (~v90(constB21, bitIndex1))))) <=> (v122(constB21) <=> (~(v90(constB21, bitIndex2) | (~v90(constB21, bitIndex1)) | (~v90(constB21, bitIndex0)))))),
% 6.88/4.81 inference(rewrite,[status(thm)],[])).
% 6.88/4.81 tff(2495,plain,
% 6.88/4.81 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB21) <=> (~(v90(constB21, bitIndex2) | (~v90(constB21, bitIndex0)) | (~v90(constB21, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB21) <=> (~(v90(constB21, bitIndex2) | (~v90(constB21, bitIndex1)) | (~v90(constB21, bitIndex0))))))),
% 6.88/4.81 inference(monotonicity,[status(thm)],[2494])).
% 6.88/4.81 tff(2496,plain,
% 6.88/4.81 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB21) <=> (~(v90(constB21, bitIndex2) | (~v90(constB21, bitIndex0)) | (~v90(constB21, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB21) <=> (~(v90(constB21, bitIndex2) | (~v90(constB21, bitIndex1)) | (~v90(constB21, bitIndex0))))))),
% 6.88/4.81 inference(transitivity,[status(thm)],[2495, 2493])).
% 6.88/4.81 tff(2497,plain,
% 6.88/4.81 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB21) <=> (~(v90(constB21, bitIndex2) | (~v90(constB21, bitIndex0)) | (~v90(constB21, bitIndex1)))))),
% 6.88/4.82 inference(quant_inst,[status(thm)],[])).
% 6.88/4.82 tff(2498,plain,
% 6.88/4.82 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB21) <=> (~(v90(constB21, bitIndex2) | (~v90(constB21, bitIndex1)) | (~v90(constB21, bitIndex0)))))),
% 6.88/4.82 inference(modus_ponens,[status(thm)],[2497, 2496])).
% 6.88/4.82 tff(2499,plain,
% 6.88/4.82 (v122(constB21) <=> (~(v90(constB21, bitIndex2) | (~v90(constB21, bitIndex1)) | (~v90(constB21, bitIndex0))))),
% 6.88/4.82 inference(unit_resolution,[status(thm)],[2498, 879])).
% 6.88/4.82 tff(2500,plain,
% 6.88/4.82 (nextState(constB20, constB21) <=> nextState(constB20, constB21)),
% 6.88/4.82 inference(rewrite,[status(thm)],[])).
% 6.88/4.82 tff(2501,axiom,(nextState(constB20, constB21)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_20')).
% 6.88/4.82 tff(2502,plain,
% 6.88/4.82 (nextState(constB20, constB21)),
% 6.88/4.82 inference(modus_ponens,[status(thm)],[2501, 2500])).
% 6.88/4.82 tff(2503,plain,
% 6.88/4.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB20, constB21)) | (v100(constB21) <=> (~((~v101(constB21)) | (~v110(constB21))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB20, constB21)) | (v100(constB21) <=> (~((~v101(constB21)) | (~v110(constB21))))))),
% 6.88/4.82 inference(rewrite,[status(thm)],[])).
% 6.88/4.82 tff(2504,plain,
% 6.88/4.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB20, constB21)) | (v100(constB21) <=> (~((~v101(constB21)) | (~v110(constB21))))))),
% 6.88/4.82 inference(quant_inst,[status(thm)],[])).
% 6.88/4.82 tff(2505,plain,
% 6.88/4.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB20, constB21)) | (v100(constB21) <=> (~((~v101(constB21)) | (~v110(constB21)))))),
% 6.88/4.82 inference(modus_ponens,[status(thm)],[2504, 2503])).
% 6.88/4.82 tff(2506,plain,
% 6.88/4.82 (v100(constB21) <=> (~((~v101(constB21)) | (~v110(constB21))))),
% 6.88/4.82 inference(unit_resolution,[status(thm)],[2505, 2502, 445])).
% 6.88/4.82 tff(2507,plain,
% 6.88/4.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB20, constB21)) | (v101(constB21) <=> (~((~v1(constB21)) | (~v102(constB21))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB20, constB21)) | (v101(constB21) <=> (~((~v1(constB21)) | (~v102(constB21))))))),
% 6.88/4.82 inference(rewrite,[status(thm)],[])).
% 6.88/4.82 tff(2508,plain,
% 6.88/4.82 (((~nextState(constB20, constB21)) | (v101(constB21) <=> (~((~v102(constB21)) | (~v1(constB21)))))) <=> ((~nextState(constB20, constB21)) | (v101(constB21) <=> (~((~v1(constB21)) | (~v102(constB21))))))),
% 6.88/4.82 inference(rewrite,[status(thm)],[])).
% 6.88/4.82 tff(2509,plain,
% 6.88/4.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB20, constB21)) | (v101(constB21) <=> (~((~v102(constB21)) | (~v1(constB21))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB20, constB21)) | (v101(constB21) <=> (~((~v1(constB21)) | (~v102(constB21)))))))),
% 6.88/4.82 inference(monotonicity,[status(thm)],[2508])).
% 6.88/4.82 tff(2510,plain,
% 6.88/4.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB20, constB21)) | (v101(constB21) <=> (~((~v102(constB21)) | (~v1(constB21))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB20, constB21)) | (v101(constB21) <=> (~((~v1(constB21)) | (~v102(constB21))))))),
% 6.88/4.82 inference(transitivity,[status(thm)],[2509, 2507])).
% 6.88/4.82 tff(2511,plain,
% 6.88/4.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB20, constB21)) | (v101(constB21) <=> (~((~v102(constB21)) | (~v1(constB21))))))),
% 6.88/4.82 inference(quant_inst,[status(thm)],[])).
% 6.88/4.82 tff(2512,plain,
% 6.88/4.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB20, constB21)) | (v101(constB21) <=> (~((~v1(constB21)) | (~v102(constB21)))))),
% 6.88/4.82 inference(modus_ponens,[status(thm)],[2511, 2510])).
% 6.88/4.82 tff(2513,plain,
% 6.88/4.82 (v101(constB21) <=> (~((~v1(constB21)) | (~v102(constB21))))),
% 6.88/4.82 inference(unit_resolution,[status(thm)],[2512, 2502, 465])).
% 6.88/4.82 tff(2514,plain,
% 6.88/4.82 ((~v1(constB21)) <=> (~v1(constB21))),
% 6.88/4.82 inference(rewrite,[status(thm)],[])).
% 6.88/4.82 tff(2515,axiom,(~v1(constB21)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_21')).
% 6.88/4.82 tff(2516,plain,
% 6.88/4.82 (~v1(constB21)),
% 6.88/4.82 inference(modus_ponens,[status(thm)],[2515, 2514])).
% 6.88/4.82 tff(2517,plain,
% 6.88/4.82 (((~v1(constB21)) | (~v102(constB21))) | v1(constB21)),
% 6.88/4.82 inference(tautology,[status(thm)],[])).
% 6.88/4.82 tff(2518,plain,
% 6.88/4.82 ((~v1(constB21)) | (~v102(constB21))),
% 6.88/4.82 inference(unit_resolution,[status(thm)],[2517, 2516])).
% 6.88/4.82 tff(2519,plain,
% 6.88/4.82 ((~(v101(constB21) <=> (~((~v1(constB21)) | (~v102(constB21)))))) | (~v101(constB21)) | (~((~v1(constB21)) | (~v102(constB21))))),
% 6.88/4.82 inference(tautology,[status(thm)],[])).
% 6.88/4.82 tff(2520,plain,
% 6.88/4.82 ((~(v101(constB21) <=> (~((~v1(constB21)) | (~v102(constB21)))))) | (~v101(constB21))),
% 6.88/4.82 inference(unit_resolution,[status(thm)],[2519, 2518])).
% 6.88/4.82 tff(2521,plain,
% 6.88/4.82 (~v101(constB21)),
% 6.88/4.82 inference(unit_resolution,[status(thm)],[2520, 2513])).
% 6.88/4.82 tff(2522,plain,
% 6.88/4.82 (((~v101(constB21)) | (~v110(constB21))) | v101(constB21)),
% 6.88/4.82 inference(tautology,[status(thm)],[])).
% 6.88/4.82 tff(2523,plain,
% 6.88/4.82 ((~v101(constB21)) | (~v110(constB21))),
% 6.88/4.82 inference(unit_resolution,[status(thm)],[2522, 2521])).
% 6.88/4.82 tff(2524,plain,
% 6.88/4.82 ((~(v100(constB21) <=> (~((~v101(constB21)) | (~v110(constB21)))))) | (~v100(constB21)) | (~((~v101(constB21)) | (~v110(constB21))))),
% 6.88/4.82 inference(tautology,[status(thm)],[])).
% 6.88/4.82 tff(2525,plain,
% 6.88/4.82 (~v100(constB21)),
% 6.88/4.82 inference(unit_resolution,[status(thm)],[2524, 2523, 2506])).
% 6.88/4.82 tff(2526,plain,
% 6.88/4.82 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB21) | (~nextState(constB20, constB21)) | (~(((~v90(constB21, bitIndex1)) <=> v90(constB20, bitIndex1)) | ((~v90(constB21, bitIndex2)) <=> v90(constB20, bitIndex2)) | ((~v90(constB21, bitIndex0)) <=> v90(constB20, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB21) | (~nextState(constB20, constB21)) | (~(((~v90(constB21, bitIndex1)) <=> v90(constB20, bitIndex1)) | ((~v90(constB21, bitIndex2)) <=> v90(constB20, bitIndex2)) | ((~v90(constB21, bitIndex0)) <=> v90(constB20, bitIndex0)))))),
% 6.88/4.82 inference(rewrite,[status(thm)],[])).
% 6.88/4.82 tff(2527,plain,
% 6.88/4.82 ((v100(constB21) | (~nextState(constB20, constB21)) | (~(((~v90(constB21, bitIndex2)) <=> v90(constB20, bitIndex2)) | ((~v90(constB21, bitIndex1)) <=> v90(constB20, bitIndex1)) | ((~v90(constB21, bitIndex0)) <=> v90(constB20, bitIndex0))))) <=> (v100(constB21) | (~nextState(constB20, constB21)) | (~(((~v90(constB21, bitIndex1)) <=> v90(constB20, bitIndex1)) | ((~v90(constB21, bitIndex2)) <=> v90(constB20, bitIndex2)) | ((~v90(constB21, bitIndex0)) <=> v90(constB20, bitIndex0)))))),
% 6.88/4.82 inference(rewrite,[status(thm)],[])).
% 6.88/4.82 tff(2528,plain,
% 6.88/4.82 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB21) | (~nextState(constB20, constB21)) | (~(((~v90(constB21, bitIndex2)) <=> v90(constB20, bitIndex2)) | ((~v90(constB21, bitIndex1)) <=> v90(constB20, bitIndex1)) | ((~v90(constB21, bitIndex0)) <=> v90(constB20, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB21) | (~nextState(constB20, constB21)) | (~(((~v90(constB21, bitIndex1)) <=> v90(constB20, bitIndex1)) | ((~v90(constB21, bitIndex2)) <=> v90(constB20, bitIndex2)) | ((~v90(constB21, bitIndex0)) <=> v90(constB20, bitIndex0))))))),
% 6.88/4.82 inference(monotonicity,[status(thm)],[2527])).
% 6.88/4.82 tff(2529,plain,
% 6.88/4.82 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB21) | (~nextState(constB20, constB21)) | (~(((~v90(constB21, bitIndex2)) <=> v90(constB20, bitIndex2)) | ((~v90(constB21, bitIndex1)) <=> v90(constB20, bitIndex1)) | ((~v90(constB21, bitIndex0)) <=> v90(constB20, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB21) | (~nextState(constB20, constB21)) | (~(((~v90(constB21, bitIndex1)) <=> v90(constB20, bitIndex1)) | ((~v90(constB21, bitIndex2)) <=> v90(constB20, bitIndex2)) | ((~v90(constB21, bitIndex0)) <=> v90(constB20, bitIndex0)))))),
% 6.88/4.82 inference(transitivity,[status(thm)],[2528, 2526])).
% 6.88/4.82 tff(2530,plain,
% 6.88/4.82 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB21) | (~nextState(constB20, constB21)) | (~(((~v90(constB21, bitIndex2)) <=> v90(constB20, bitIndex2)) | ((~v90(constB21, bitIndex1)) <=> v90(constB20, bitIndex1)) | ((~v90(constB21, bitIndex0)) <=> v90(constB20, bitIndex0)))))),
% 6.88/4.82 inference(quant_inst,[status(thm)],[])).
% 6.88/4.82 tff(2531,plain,
% 6.88/4.82 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB21) | (~nextState(constB20, constB21)) | (~(((~v90(constB21, bitIndex1)) <=> v90(constB20, bitIndex1)) | ((~v90(constB21, bitIndex2)) <=> v90(constB20, bitIndex2)) | ((~v90(constB21, bitIndex0)) <=> v90(constB20, bitIndex0))))),
% 6.88/4.82 inference(modus_ponens,[status(thm)],[2530, 2529])).
% 6.88/4.82 tff(2532,plain,
% 6.88/4.82 (v100(constB21) | (~(((~v90(constB21, bitIndex1)) <=> v90(constB20, bitIndex1)) | ((~v90(constB21, bitIndex2)) <=> v90(constB20, bitIndex2)) | ((~v90(constB21, bitIndex0)) <=> v90(constB20, bitIndex0))))),
% 6.88/4.82 inference(unit_resolution,[status(thm)],[2531, 2502, 494])).
% 6.88/4.82 tff(2533,plain,
% 6.88/4.82 (~(((~v90(constB21, bitIndex1)) <=> v90(constB20, bitIndex1)) | ((~v90(constB21, bitIndex2)) <=> v90(constB20, bitIndex2)) | ((~v90(constB21, bitIndex0)) <=> v90(constB20, bitIndex0)))),
% 6.88/4.82 inference(unit_resolution,[status(thm)],[2532, 2525])).
% 6.88/4.82 tff(2534,plain,
% 6.88/4.82 ((((~v90(constB21, bitIndex1)) <=> v90(constB20, bitIndex1)) | ((~v90(constB21, bitIndex2)) <=> v90(constB20, bitIndex2)) | ((~v90(constB21, bitIndex0)) <=> v90(constB20, bitIndex0))) | (~((~v90(constB21, bitIndex2)) <=> v90(constB20, bitIndex2)))),
% 6.88/4.82 inference(tautology,[status(thm)],[])).
% 6.88/4.82 tff(2535,plain,
% 6.88/4.82 (~((~v90(constB21, bitIndex2)) <=> v90(constB20, bitIndex2))),
% 6.88/4.82 inference(unit_resolution,[status(thm)],[2534, 2533])).
% 6.88/4.82 tff(2536,plain,
% 6.88/4.82 (nextState(constB19, constB20) <=> nextState(constB19, constB20)),
% 6.88/4.82 inference(rewrite,[status(thm)],[])).
% 6.88/4.82 tff(2537,axiom,(nextState(constB19, constB20)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_19')).
% 6.88/4.82 tff(2538,plain,
% 6.88/4.82 (nextState(constB19, constB20)),
% 6.88/4.82 inference(modus_ponens,[status(thm)],[2537, 2536])).
% 6.88/4.82 tff(2539,plain,
% 6.88/4.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB19, constB20)) | (~(((~v129(constB20, bitIndex2)) <=> v127(constB19, bitIndex2)) | ((~v129(constB20, bitIndex1)) <=> v127(constB19, bitIndex1)) | ((~v129(constB20, bitIndex0)) <=> v127(constB19, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB19, constB20)) | (~(((~v129(constB20, bitIndex2)) <=> v127(constB19, bitIndex2)) | ((~v129(constB20, bitIndex1)) <=> v127(constB19, bitIndex1)) | ((~v129(constB20, bitIndex0)) <=> v127(constB19, bitIndex0)))))),
% 6.88/4.82 inference(rewrite,[status(thm)],[])).
% 6.88/4.82 tff(2540,plain,
% 6.88/4.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB19, constB20)) | (~(((~v129(constB20, bitIndex2)) <=> v127(constB19, bitIndex2)) | ((~v129(constB20, bitIndex1)) <=> v127(constB19, bitIndex1)) | ((~v129(constB20, bitIndex0)) <=> v127(constB19, bitIndex0)))))),
% 6.88/4.82 inference(quant_inst,[status(thm)],[])).
% 6.88/4.82 tff(2541,plain,
% 6.88/4.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB19, constB20)) | (~(((~v129(constB20, bitIndex2)) <=> v127(constB19, bitIndex2)) | ((~v129(constB20, bitIndex1)) <=> v127(constB19, bitIndex1)) | ((~v129(constB20, bitIndex0)) <=> v127(constB19, bitIndex0))))),
% 6.88/4.82 inference(modus_ponens,[status(thm)],[2540, 2539])).
% 6.88/4.82 tff(2542,plain,
% 6.88/4.82 (~(((~v129(constB20, bitIndex2)) <=> v127(constB19, bitIndex2)) | ((~v129(constB20, bitIndex1)) <=> v127(constB19, bitIndex1)) | ((~v129(constB20, bitIndex0)) <=> v127(constB19, bitIndex0)))),
% 6.88/4.82 inference(unit_resolution,[status(thm)],[2541, 2538, 517])).
% 6.88/4.82 tff(2543,plain,
% 6.88/4.82 ((((~v129(constB20, bitIndex2)) <=> v127(constB19, bitIndex2)) | ((~v129(constB20, bitIndex1)) <=> v127(constB19, bitIndex1)) | ((~v129(constB20, bitIndex0)) <=> v127(constB19, bitIndex0))) | (~((~v129(constB20, bitIndex2)) <=> v127(constB19, bitIndex2)))),
% 6.88/4.82 inference(tautology,[status(thm)],[])).
% 6.88/4.82 tff(2544,plain,
% 6.88/4.82 (~((~v129(constB20, bitIndex2)) <=> v127(constB19, bitIndex2))),
% 6.88/4.82 inference(unit_resolution,[status(thm)],[2543, 2542])).
% 6.88/4.82 tff(2545,plain,
% 6.88/4.82 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB19) <=> v26(constB19))),
% 6.88/4.82 inference(quant_inst,[status(thm)],[])).
% 6.88/4.82 tff(2546,plain,
% 6.88/4.82 (v111(constB19) <=> v26(constB19)),
% 6.88/4.82 inference(unit_resolution,[status(thm)],[2545, 536])).
% 6.88/4.82 tff(2547,plain,
% 6.88/4.82 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB19))),
% 6.88/4.82 inference(quant_inst,[status(thm)],[])).
% 6.88/4.82 tff(2548,plain,
% 6.88/4.82 (~v26(constB19)),
% 6.88/4.82 inference(unit_resolution,[status(thm)],[2547, 548])).
% 6.88/4.82 tff(2549,plain,
% 6.88/4.82 ((~(v111(constB19) <=> v26(constB19))) | (~v111(constB19)) | v26(constB19)),
% 6.88/4.82 inference(tautology,[status(thm)],[])).
% 6.88/4.82 tff(2550,plain,
% 6.88/4.82 ((~(v111(constB19) <=> v26(constB19))) | (~v111(constB19))),
% 6.88/4.82 inference(unit_resolution,[status(thm)],[2549, 2548])).
% 6.88/4.82 tff(2551,plain,
% 6.88/4.82 (~v111(constB19)),
% 6.88/4.82 inference(unit_resolution,[status(thm)],[2550, 2546])).
% 6.88/4.82 tff(2552,plain,
% 6.88/4.82 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB19) | (~(((~v127(constB19, bitIndex2)) <=> v130(constB19, bitIndex2)) | ((~v127(constB19, bitIndex1)) <=> v130(constB19, bitIndex1)) | ((~v127(constB19, bitIndex0)) <=> v130(constB19, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB19) | (~(((~v127(constB19, bitIndex2)) <=> v130(constB19, bitIndex2)) | ((~v127(constB19, bitIndex1)) <=> v130(constB19, bitIndex1)) | ((~v127(constB19, bitIndex0)) <=> v130(constB19, bitIndex0)))))),
% 6.88/4.82 inference(rewrite,[status(thm)],[])).
% 6.88/4.82 tff(2553,plain,
% 6.88/4.82 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB19) | (~(((~v127(constB19, bitIndex2)) <=> v130(constB19, bitIndex2)) | ((~v127(constB19, bitIndex1)) <=> v130(constB19, bitIndex1)) | ((~v127(constB19, bitIndex0)) <=> v130(constB19, bitIndex0)))))),
% 6.88/4.82 inference(quant_inst,[status(thm)],[])).
% 6.88/4.82 tff(2554,plain,
% 6.88/4.82 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB19) | (~(((~v127(constB19, bitIndex2)) <=> v130(constB19, bitIndex2)) | ((~v127(constB19, bitIndex1)) <=> v130(constB19, bitIndex1)) | ((~v127(constB19, bitIndex0)) <=> v130(constB19, bitIndex0))))),
% 6.88/4.82 inference(modus_ponens,[status(thm)],[2553, 2552])).
% 6.88/4.82 tff(2555,plain,
% 6.88/4.82 (v111(constB19) | (~(((~v127(constB19, bitIndex2)) <=> v130(constB19, bitIndex2)) | ((~v127(constB19, bitIndex1)) <=> v130(constB19, bitIndex1)) | ((~v127(constB19, bitIndex0)) <=> v130(constB19, bitIndex0))))),
% 6.88/4.82 inference(unit_resolution,[status(thm)],[2554, 566])).
% 6.88/4.82 tff(2556,plain,
% 6.88/4.82 (~(((~v127(constB19, bitIndex2)) <=> v130(constB19, bitIndex2)) | ((~v127(constB19, bitIndex1)) <=> v130(constB19, bitIndex1)) | ((~v127(constB19, bitIndex0)) <=> v130(constB19, bitIndex0)))),
% 6.88/4.82 inference(unit_resolution,[status(thm)],[2555, 2551])).
% 6.88/4.82 tff(2557,plain,
% 6.88/4.82 ((((~v127(constB19, bitIndex2)) <=> v130(constB19, bitIndex2)) | ((~v127(constB19, bitIndex1)) <=> v130(constB19, bitIndex1)) | ((~v127(constB19, bitIndex0)) <=> v130(constB19, bitIndex0))) | (~((~v127(constB19, bitIndex2)) <=> v130(constB19, bitIndex2)))),
% 6.88/4.82 inference(tautology,[status(thm)],[])).
% 6.88/4.82 tff(2558,plain,
% 6.88/4.82 (~((~v127(constB19, bitIndex2)) <=> v130(constB19, bitIndex2))),
% 6.88/4.82 inference(unit_resolution,[status(thm)],[2557, 2556])).
% 6.88/4.82 tff(2559,plain,
% 6.88/4.82 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB19) <=> (~(v90(constB19, bitIndex2) | v90(constB19, bitIndex0) | (~v90(constB19, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB19) <=> (~(v90(constB19, bitIndex2) | v90(constB19, bitIndex0) | (~v90(constB19, bitIndex1))))))),
% 6.88/4.82 inference(rewrite,[status(thm)],[])).
% 6.88/4.82 tff(2560,plain,
% 6.88/4.82 ((v121(constB19) <=> (~(v90(constB19, bitIndex0) | v90(constB19, bitIndex2) | (~v90(constB19, bitIndex1))))) <=> (v121(constB19) <=> (~(v90(constB19, bitIndex2) | v90(constB19, bitIndex0) | (~v90(constB19, bitIndex1)))))),
% 6.88/4.82 inference(rewrite,[status(thm)],[])).
% 6.88/4.82 tff(2561,plain,
% 6.88/4.82 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB19) <=> (~(v90(constB19, bitIndex0) | v90(constB19, bitIndex2) | (~v90(constB19, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB19) <=> (~(v90(constB19, bitIndex2) | v90(constB19, bitIndex0) | (~v90(constB19, bitIndex1))))))),
% 6.88/4.82 inference(monotonicity,[status(thm)],[2560])).
% 6.88/4.82 tff(2562,plain,
% 6.88/4.82 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB19) <=> (~(v90(constB19, bitIndex0) | v90(constB19, bitIndex2) | (~v90(constB19, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB19) <=> (~(v90(constB19, bitIndex2) | v90(constB19, bitIndex0) | (~v90(constB19, bitIndex1))))))),
% 6.88/4.82 inference(transitivity,[status(thm)],[2561, 2559])).
% 6.88/4.82 tff(2563,plain,
% 6.88/4.82 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB19) <=> (~(v90(constB19, bitIndex0) | v90(constB19, bitIndex2) | (~v90(constB19, bitIndex1)))))),
% 6.88/4.82 inference(quant_inst,[status(thm)],[])).
% 6.88/4.82 tff(2564,plain,
% 6.88/4.82 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB19) <=> (~(v90(constB19, bitIndex2) | v90(constB19, bitIndex0) | (~v90(constB19, bitIndex1)))))),
% 6.88/4.82 inference(modus_ponens,[status(thm)],[2563, 2562])).
% 6.88/4.82 tff(2565,plain,
% 6.88/4.82 (v121(constB19) <=> (~(v90(constB19, bitIndex2) | v90(constB19, bitIndex0) | (~v90(constB19, bitIndex1))))),
% 6.88/4.82 inference(unit_resolution,[status(thm)],[2564, 586])).
% 6.88/4.82 tff(2566,plain,
% 6.88/4.82 (nextState(constB18, constB19) <=> nextState(constB18, constB19)),
% 6.88/4.82 inference(rewrite,[status(thm)],[])).
% 6.88/4.82 tff(2567,axiom,(nextState(constB18, constB19)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_18')).
% 6.88/4.82 tff(2568,plain,
% 6.88/4.82 (nextState(constB18, constB19)),
% 6.88/4.82 inference(modus_ponens,[status(thm)],[2567, 2566])).
% 6.88/4.82 tff(2569,plain,
% 6.88/4.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB18, constB19)) | (v100(constB19) <=> (~((~v101(constB19)) | (~v110(constB19))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB18, constB19)) | (v100(constB19) <=> (~((~v101(constB19)) | (~v110(constB19))))))),
% 6.88/4.82 inference(rewrite,[status(thm)],[])).
% 6.88/4.82 tff(2570,plain,
% 6.88/4.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB18, constB19)) | (v100(constB19) <=> (~((~v101(constB19)) | (~v110(constB19))))))),
% 6.88/4.82 inference(quant_inst,[status(thm)],[])).
% 6.88/4.82 tff(2571,plain,
% 6.88/4.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB18, constB19)) | (v100(constB19) <=> (~((~v101(constB19)) | (~v110(constB19)))))),
% 6.88/4.82 inference(modus_ponens,[status(thm)],[2570, 2569])).
% 6.88/4.82 tff(2572,plain,
% 6.88/4.82 (v100(constB19) <=> (~((~v101(constB19)) | (~v110(constB19))))),
% 6.88/4.82 inference(unit_resolution,[status(thm)],[2571, 2568, 445])).
% 6.88/4.82 tff(2573,plain,
% 6.88/4.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB18, constB19)) | (v101(constB19) <=> (~((~v1(constB19)) | (~v102(constB19))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB18, constB19)) | (v101(constB19) <=> (~((~v1(constB19)) | (~v102(constB19))))))),
% 6.88/4.82 inference(rewrite,[status(thm)],[])).
% 6.88/4.82 tff(2574,plain,
% 6.88/4.82 (((~nextState(constB18, constB19)) | (v101(constB19) <=> (~((~v102(constB19)) | (~v1(constB19)))))) <=> ((~nextState(constB18, constB19)) | (v101(constB19) <=> (~((~v1(constB19)) | (~v102(constB19))))))),
% 6.88/4.82 inference(rewrite,[status(thm)],[])).
% 6.88/4.82 tff(2575,plain,
% 6.88/4.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB18, constB19)) | (v101(constB19) <=> (~((~v102(constB19)) | (~v1(constB19))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB18, constB19)) | (v101(constB19) <=> (~((~v1(constB19)) | (~v102(constB19)))))))),
% 6.88/4.82 inference(monotonicity,[status(thm)],[2574])).
% 6.88/4.82 tff(2576,plain,
% 6.88/4.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB18, constB19)) | (v101(constB19) <=> (~((~v102(constB19)) | (~v1(constB19))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB18, constB19)) | (v101(constB19) <=> (~((~v1(constB19)) | (~v102(constB19))))))),
% 6.88/4.82 inference(transitivity,[status(thm)],[2575, 2573])).
% 6.88/4.82 tff(2577,plain,
% 6.88/4.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB18, constB19)) | (v101(constB19) <=> (~((~v102(constB19)) | (~v1(constB19))))))),
% 6.88/4.82 inference(quant_inst,[status(thm)],[])).
% 6.88/4.82 tff(2578,plain,
% 6.88/4.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB18, constB19)) | (v101(constB19) <=> (~((~v1(constB19)) | (~v102(constB19)))))),
% 6.88/4.82 inference(modus_ponens,[status(thm)],[2577, 2576])).
% 6.88/4.82 tff(2579,plain,
% 6.88/4.82 (v101(constB19) <=> (~((~v1(constB19)) | (~v102(constB19))))),
% 6.88/4.82 inference(unit_resolution,[status(thm)],[2578, 2568, 465])).
% 6.88/4.82 tff(2580,plain,
% 6.88/4.82 ((~v1(constB19)) <=> (~v1(constB19))),
% 6.88/4.82 inference(rewrite,[status(thm)],[])).
% 6.88/4.82 tff(2581,axiom,(~v1(constB19)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_19')).
% 6.88/4.82 tff(2582,plain,
% 6.88/4.82 (~v1(constB19)),
% 6.88/4.82 inference(modus_ponens,[status(thm)],[2581, 2580])).
% 6.88/4.82 tff(2583,plain,
% 6.88/4.82 (((~v1(constB19)) | (~v102(constB19))) | v1(constB19)),
% 6.88/4.82 inference(tautology,[status(thm)],[])).
% 6.88/4.82 tff(2584,plain,
% 6.88/4.82 ((~v1(constB19)) | (~v102(constB19))),
% 6.88/4.82 inference(unit_resolution,[status(thm)],[2583, 2582])).
% 6.88/4.82 tff(2585,plain,
% 6.88/4.82 ((~(v101(constB19) <=> (~((~v1(constB19)) | (~v102(constB19)))))) | (~v101(constB19)) | (~((~v1(constB19)) | (~v102(constB19))))),
% 6.88/4.82 inference(tautology,[status(thm)],[])).
% 6.88/4.82 tff(2586,plain,
% 6.88/4.82 ((~(v101(constB19) <=> (~((~v1(constB19)) | (~v102(constB19)))))) | (~v101(constB19))),
% 6.88/4.82 inference(unit_resolution,[status(thm)],[2585, 2584])).
% 6.88/4.82 tff(2587,plain,
% 6.88/4.82 (~v101(constB19)),
% 6.88/4.82 inference(unit_resolution,[status(thm)],[2586, 2579])).
% 6.88/4.82 tff(2588,plain,
% 6.88/4.82 (((~v101(constB19)) | (~v110(constB19))) | v101(constB19)),
% 6.88/4.82 inference(tautology,[status(thm)],[])).
% 6.88/4.82 tff(2589,plain,
% 6.88/4.82 ((~v101(constB19)) | (~v110(constB19))),
% 6.88/4.82 inference(unit_resolution,[status(thm)],[2588, 2587])).
% 6.88/4.82 tff(2590,plain,
% 6.88/4.82 ((~(v100(constB19) <=> (~((~v101(constB19)) | (~v110(constB19)))))) | (~v100(constB19)) | (~((~v101(constB19)) | (~v110(constB19))))),
% 6.88/4.82 inference(tautology,[status(thm)],[])).
% 6.88/4.82 tff(2591,plain,
% 6.88/4.82 (~v100(constB19)),
% 6.88/4.82 inference(unit_resolution,[status(thm)],[2590, 2589, 2572])).
% 6.88/4.82 tff(2592,plain,
% 6.88/4.82 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB19) | (~nextState(constB18, constB19)) | (~(((~v90(constB19, bitIndex1)) <=> v90(constB18, bitIndex1)) | ((~v90(constB19, bitIndex2)) <=> v90(constB18, bitIndex2)) | ((~v90(constB19, bitIndex0)) <=> v90(constB18, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB19) | (~nextState(constB18, constB19)) | (~(((~v90(constB19, bitIndex1)) <=> v90(constB18, bitIndex1)) | ((~v90(constB19, bitIndex2)) <=> v90(constB18, bitIndex2)) | ((~v90(constB19, bitIndex0)) <=> v90(constB18, bitIndex0)))))),
% 6.88/4.82 inference(rewrite,[status(thm)],[])).
% 6.88/4.82 tff(2593,plain,
% 6.88/4.82 ((v100(constB19) | (~nextState(constB18, constB19)) | (~(((~v90(constB19, bitIndex2)) <=> v90(constB18, bitIndex2)) | ((~v90(constB19, bitIndex1)) <=> v90(constB18, bitIndex1)) | ((~v90(constB19, bitIndex0)) <=> v90(constB18, bitIndex0))))) <=> (v100(constB19) | (~nextState(constB18, constB19)) | (~(((~v90(constB19, bitIndex1)) <=> v90(constB18, bitIndex1)) | ((~v90(constB19, bitIndex2)) <=> v90(constB18, bitIndex2)) | ((~v90(constB19, bitIndex0)) <=> v90(constB18, bitIndex0)))))),
% 6.88/4.83 inference(rewrite,[status(thm)],[])).
% 6.88/4.83 tff(2594,plain,
% 6.88/4.83 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB19) | (~nextState(constB18, constB19)) | (~(((~v90(constB19, bitIndex2)) <=> v90(constB18, bitIndex2)) | ((~v90(constB19, bitIndex1)) <=> v90(constB18, bitIndex1)) | ((~v90(constB19, bitIndex0)) <=> v90(constB18, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB19) | (~nextState(constB18, constB19)) | (~(((~v90(constB19, bitIndex1)) <=> v90(constB18, bitIndex1)) | ((~v90(constB19, bitIndex2)) <=> v90(constB18, bitIndex2)) | ((~v90(constB19, bitIndex0)) <=> v90(constB18, bitIndex0))))))),
% 6.88/4.83 inference(monotonicity,[status(thm)],[2593])).
% 6.88/4.83 tff(2595,plain,
% 6.88/4.83 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB19) | (~nextState(constB18, constB19)) | (~(((~v90(constB19, bitIndex2)) <=> v90(constB18, bitIndex2)) | ((~v90(constB19, bitIndex1)) <=> v90(constB18, bitIndex1)) | ((~v90(constB19, bitIndex0)) <=> v90(constB18, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB19) | (~nextState(constB18, constB19)) | (~(((~v90(constB19, bitIndex1)) <=> v90(constB18, bitIndex1)) | ((~v90(constB19, bitIndex2)) <=> v90(constB18, bitIndex2)) | ((~v90(constB19, bitIndex0)) <=> v90(constB18, bitIndex0)))))),
% 6.88/4.83 inference(transitivity,[status(thm)],[2594, 2592])).
% 6.88/4.83 tff(2596,plain,
% 6.88/4.83 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB19) | (~nextState(constB18, constB19)) | (~(((~v90(constB19, bitIndex2)) <=> v90(constB18, bitIndex2)) | ((~v90(constB19, bitIndex1)) <=> v90(constB18, bitIndex1)) | ((~v90(constB19, bitIndex0)) <=> v90(constB18, bitIndex0)))))),
% 6.88/4.83 inference(quant_inst,[status(thm)],[])).
% 6.88/4.83 tff(2597,plain,
% 6.88/4.83 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB19) | (~nextState(constB18, constB19)) | (~(((~v90(constB19, bitIndex1)) <=> v90(constB18, bitIndex1)) | ((~v90(constB19, bitIndex2)) <=> v90(constB18, bitIndex2)) | ((~v90(constB19, bitIndex0)) <=> v90(constB18, bitIndex0))))),
% 6.88/4.83 inference(modus_ponens,[status(thm)],[2596, 2595])).
% 6.88/4.83 tff(2598,plain,
% 6.88/4.83 (v100(constB19) | (~(((~v90(constB19, bitIndex1)) <=> v90(constB18, bitIndex1)) | ((~v90(constB19, bitIndex2)) <=> v90(constB18, bitIndex2)) | ((~v90(constB19, bitIndex0)) <=> v90(constB18, bitIndex0))))),
% 6.88/4.83 inference(unit_resolution,[status(thm)],[2597, 2568, 494])).
% 6.88/4.83 tff(2599,plain,
% 6.88/4.83 (~(((~v90(constB19, bitIndex1)) <=> v90(constB18, bitIndex1)) | ((~v90(constB19, bitIndex2)) <=> v90(constB18, bitIndex2)) | ((~v90(constB19, bitIndex0)) <=> v90(constB18, bitIndex0)))),
% 6.88/4.83 inference(unit_resolution,[status(thm)],[2598, 2591])).
% 6.88/4.83 tff(2600,plain,
% 6.88/4.83 ((((~v90(constB19, bitIndex1)) <=> v90(constB18, bitIndex1)) | ((~v90(constB19, bitIndex2)) <=> v90(constB18, bitIndex2)) | ((~v90(constB19, bitIndex0)) <=> v90(constB18, bitIndex0))) | (~((~v90(constB19, bitIndex2)) <=> v90(constB18, bitIndex2)))),
% 6.88/4.83 inference(tautology,[status(thm)],[])).
% 6.88/4.83 tff(2601,plain,
% 6.88/4.83 (~((~v90(constB19, bitIndex2)) <=> v90(constB18, bitIndex2))),
% 6.88/4.83 inference(unit_resolution,[status(thm)],[2600, 2599])).
% 6.88/4.83 tff(2602,plain,
% 6.88/4.83 (nextState(constB17, constB18) <=> nextState(constB17, constB18)),
% 6.88/4.83 inference(rewrite,[status(thm)],[])).
% 6.88/4.83 tff(2603,axiom,(nextState(constB17, constB18)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_17')).
% 6.88/4.83 tff(2604,plain,
% 6.88/4.83 (nextState(constB17, constB18)),
% 6.88/4.83 inference(modus_ponens,[status(thm)],[2603, 2602])).
% 6.88/4.83 tff(2605,plain,
% 6.88/4.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB17, constB18)) | (~(((~v129(constB18, bitIndex2)) <=> v127(constB17, bitIndex2)) | ((~v129(constB18, bitIndex1)) <=> v127(constB17, bitIndex1)) | ((~v129(constB18, bitIndex0)) <=> v127(constB17, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB17, constB18)) | (~(((~v129(constB18, bitIndex2)) <=> v127(constB17, bitIndex2)) | ((~v129(constB18, bitIndex1)) <=> v127(constB17, bitIndex1)) | ((~v129(constB18, bitIndex0)) <=> v127(constB17, bitIndex0)))))),
% 6.88/4.83 inference(rewrite,[status(thm)],[])).
% 6.88/4.83 tff(2606,plain,
% 6.88/4.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB17, constB18)) | (~(((~v129(constB18, bitIndex2)) <=> v127(constB17, bitIndex2)) | ((~v129(constB18, bitIndex1)) <=> v127(constB17, bitIndex1)) | ((~v129(constB18, bitIndex0)) <=> v127(constB17, bitIndex0)))))),
% 6.88/4.83 inference(quant_inst,[status(thm)],[])).
% 6.88/4.83 tff(2607,plain,
% 6.88/4.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB17, constB18)) | (~(((~v129(constB18, bitIndex2)) <=> v127(constB17, bitIndex2)) | ((~v129(constB18, bitIndex1)) <=> v127(constB17, bitIndex1)) | ((~v129(constB18, bitIndex0)) <=> v127(constB17, bitIndex0))))),
% 6.88/4.83 inference(modus_ponens,[status(thm)],[2606, 2605])).
% 6.88/4.83 tff(2608,plain,
% 6.88/4.83 (~(((~v129(constB18, bitIndex2)) <=> v127(constB17, bitIndex2)) | ((~v129(constB18, bitIndex1)) <=> v127(constB17, bitIndex1)) | ((~v129(constB18, bitIndex0)) <=> v127(constB17, bitIndex0)))),
% 6.88/4.83 inference(unit_resolution,[status(thm)],[2607, 2604, 517])).
% 6.88/4.83 tff(2609,plain,
% 6.88/4.83 ((((~v129(constB18, bitIndex2)) <=> v127(constB17, bitIndex2)) | ((~v129(constB18, bitIndex1)) <=> v127(constB17, bitIndex1)) | ((~v129(constB18, bitIndex0)) <=> v127(constB17, bitIndex0))) | (~((~v129(constB18, bitIndex2)) <=> v127(constB17, bitIndex2)))),
% 6.88/4.83 inference(tautology,[status(thm)],[])).
% 6.88/4.83 tff(2610,plain,
% 6.88/4.83 (~((~v129(constB18, bitIndex2)) <=> v127(constB17, bitIndex2))),
% 6.88/4.83 inference(unit_resolution,[status(thm)],[2609, 2608])).
% 6.88/4.83 tff(2611,plain,
% 6.88/4.83 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB17) <=> v26(constB17))),
% 6.88/4.83 inference(quant_inst,[status(thm)],[])).
% 6.88/4.83 tff(2612,plain,
% 6.88/4.83 (v111(constB17) <=> v26(constB17)),
% 6.88/4.83 inference(unit_resolution,[status(thm)],[2611, 536])).
% 6.88/4.83 tff(2613,plain,
% 6.88/4.83 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB17))),
% 6.88/4.83 inference(quant_inst,[status(thm)],[])).
% 6.88/4.83 tff(2614,plain,
% 6.88/4.83 (~v26(constB17)),
% 6.88/4.83 inference(unit_resolution,[status(thm)],[2613, 548])).
% 6.88/4.83 tff(2615,plain,
% 6.88/4.83 ((~(v111(constB17) <=> v26(constB17))) | (~v111(constB17)) | v26(constB17)),
% 6.88/4.83 inference(tautology,[status(thm)],[])).
% 6.88/4.83 tff(2616,plain,
% 6.88/4.83 ((~(v111(constB17) <=> v26(constB17))) | (~v111(constB17))),
% 6.88/4.83 inference(unit_resolution,[status(thm)],[2615, 2614])).
% 6.88/4.83 tff(2617,plain,
% 6.88/4.83 (~v111(constB17)),
% 6.88/4.83 inference(unit_resolution,[status(thm)],[2616, 2612])).
% 6.88/4.83 tff(2618,plain,
% 6.88/4.83 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB17) | (~(((~v127(constB17, bitIndex2)) <=> v130(constB17, bitIndex2)) | ((~v127(constB17, bitIndex1)) <=> v130(constB17, bitIndex1)) | ((~v127(constB17, bitIndex0)) <=> v130(constB17, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB17) | (~(((~v127(constB17, bitIndex2)) <=> v130(constB17, bitIndex2)) | ((~v127(constB17, bitIndex1)) <=> v130(constB17, bitIndex1)) | ((~v127(constB17, bitIndex0)) <=> v130(constB17, bitIndex0)))))),
% 6.88/4.83 inference(rewrite,[status(thm)],[])).
% 6.88/4.83 tff(2619,plain,
% 6.88/4.83 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB17) | (~(((~v127(constB17, bitIndex2)) <=> v130(constB17, bitIndex2)) | ((~v127(constB17, bitIndex1)) <=> v130(constB17, bitIndex1)) | ((~v127(constB17, bitIndex0)) <=> v130(constB17, bitIndex0)))))),
% 6.88/4.83 inference(quant_inst,[status(thm)],[])).
% 6.88/4.83 tff(2620,plain,
% 6.88/4.83 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB17) | (~(((~v127(constB17, bitIndex2)) <=> v130(constB17, bitIndex2)) | ((~v127(constB17, bitIndex1)) <=> v130(constB17, bitIndex1)) | ((~v127(constB17, bitIndex0)) <=> v130(constB17, bitIndex0))))),
% 6.88/4.83 inference(modus_ponens,[status(thm)],[2619, 2618])).
% 6.88/4.83 tff(2621,plain,
% 6.88/4.83 (v111(constB17) | (~(((~v127(constB17, bitIndex2)) <=> v130(constB17, bitIndex2)) | ((~v127(constB17, bitIndex1)) <=> v130(constB17, bitIndex1)) | ((~v127(constB17, bitIndex0)) <=> v130(constB17, bitIndex0))))),
% 6.88/4.83 inference(unit_resolution,[status(thm)],[2620, 566])).
% 6.88/4.83 tff(2622,plain,
% 6.88/4.83 (~(((~v127(constB17, bitIndex2)) <=> v130(constB17, bitIndex2)) | ((~v127(constB17, bitIndex1)) <=> v130(constB17, bitIndex1)) | ((~v127(constB17, bitIndex0)) <=> v130(constB17, bitIndex0)))),
% 6.88/4.83 inference(unit_resolution,[status(thm)],[2621, 2617])).
% 6.88/4.83 tff(2623,plain,
% 6.88/4.83 ((((~v127(constB17, bitIndex2)) <=> v130(constB17, bitIndex2)) | ((~v127(constB17, bitIndex1)) <=> v130(constB17, bitIndex1)) | ((~v127(constB17, bitIndex0)) <=> v130(constB17, bitIndex0))) | (~((~v127(constB17, bitIndex2)) <=> v130(constB17, bitIndex2)))),
% 6.88/4.83 inference(tautology,[status(thm)],[])).
% 6.88/4.83 tff(2624,plain,
% 6.88/4.83 (~((~v127(constB17, bitIndex2)) <=> v130(constB17, bitIndex2))),
% 6.88/4.83 inference(unit_resolution,[status(thm)],[2623, 2622])).
% 6.88/4.83 tff(2625,plain,
% 6.88/4.83 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB17) <=> (~(v90(constB17, bitIndex1) | v90(constB17, bitIndex2) | (~v90(constB17, bitIndex0)))))),
% 6.88/4.83 inference(quant_inst,[status(thm)],[])).
% 6.88/4.83 tff(2626,plain,
% 6.88/4.83 (v120(constB17) <=> (~(v90(constB17, bitIndex1) | v90(constB17, bitIndex2) | (~v90(constB17, bitIndex0))))),
% 6.88/4.83 inference(unit_resolution,[status(thm)],[2625, 665])).
% 6.88/4.83 tff(2627,plain,
% 6.88/4.83 (nextState(constB16, constB17) <=> nextState(constB16, constB17)),
% 6.88/4.83 inference(rewrite,[status(thm)],[])).
% 6.88/4.83 tff(2628,axiom,(nextState(constB16, constB17)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_16')).
% 6.88/4.83 tff(2629,plain,
% 6.88/4.83 (nextState(constB16, constB17)),
% 6.88/4.83 inference(modus_ponens,[status(thm)],[2628, 2627])).
% 6.88/4.83 tff(2630,plain,
% 6.88/4.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB16, constB17)) | (v100(constB17) <=> (~((~v101(constB17)) | (~v110(constB17))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB16, constB17)) | (v100(constB17) <=> (~((~v101(constB17)) | (~v110(constB17))))))),
% 6.88/4.83 inference(rewrite,[status(thm)],[])).
% 6.88/4.83 tff(2631,plain,
% 6.88/4.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB16, constB17)) | (v100(constB17) <=> (~((~v101(constB17)) | (~v110(constB17))))))),
% 6.88/4.83 inference(quant_inst,[status(thm)],[])).
% 6.88/4.83 tff(2632,plain,
% 6.88/4.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB16, constB17)) | (v100(constB17) <=> (~((~v101(constB17)) | (~v110(constB17)))))),
% 6.88/4.83 inference(modus_ponens,[status(thm)],[2631, 2630])).
% 6.88/4.83 tff(2633,plain,
% 6.88/4.83 (v100(constB17) <=> (~((~v101(constB17)) | (~v110(constB17))))),
% 6.88/4.83 inference(unit_resolution,[status(thm)],[2632, 2629, 445])).
% 6.88/4.83 tff(2634,plain,
% 6.88/4.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB16, constB17)) | (v101(constB17) <=> (~((~v1(constB17)) | (~v102(constB17))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB16, constB17)) | (v101(constB17) <=> (~((~v1(constB17)) | (~v102(constB17))))))),
% 6.88/4.83 inference(rewrite,[status(thm)],[])).
% 6.88/4.83 tff(2635,plain,
% 6.88/4.83 (((~nextState(constB16, constB17)) | (v101(constB17) <=> (~((~v102(constB17)) | (~v1(constB17)))))) <=> ((~nextState(constB16, constB17)) | (v101(constB17) <=> (~((~v1(constB17)) | (~v102(constB17))))))),
% 6.88/4.83 inference(rewrite,[status(thm)],[])).
% 6.88/4.83 tff(2636,plain,
% 6.88/4.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB16, constB17)) | (v101(constB17) <=> (~((~v102(constB17)) | (~v1(constB17))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB16, constB17)) | (v101(constB17) <=> (~((~v1(constB17)) | (~v102(constB17)))))))),
% 6.88/4.83 inference(monotonicity,[status(thm)],[2635])).
% 6.88/4.83 tff(2637,plain,
% 6.88/4.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB16, constB17)) | (v101(constB17) <=> (~((~v102(constB17)) | (~v1(constB17))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB16, constB17)) | (v101(constB17) <=> (~((~v1(constB17)) | (~v102(constB17))))))),
% 6.88/4.83 inference(transitivity,[status(thm)],[2636, 2634])).
% 6.88/4.83 tff(2638,plain,
% 6.88/4.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB16, constB17)) | (v101(constB17) <=> (~((~v102(constB17)) | (~v1(constB17))))))),
% 6.88/4.83 inference(quant_inst,[status(thm)],[])).
% 6.88/4.83 tff(2639,plain,
% 6.88/4.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB16, constB17)) | (v101(constB17) <=> (~((~v1(constB17)) | (~v102(constB17)))))),
% 6.88/4.83 inference(modus_ponens,[status(thm)],[2638, 2637])).
% 6.88/4.83 tff(2640,plain,
% 6.88/4.83 (v101(constB17) <=> (~((~v1(constB17)) | (~v102(constB17))))),
% 6.88/4.83 inference(unit_resolution,[status(thm)],[2639, 2629, 465])).
% 6.88/4.83 tff(2641,plain,
% 6.88/4.83 ((~v1(constB17)) <=> (~v1(constB17))),
% 6.88/4.83 inference(rewrite,[status(thm)],[])).
% 6.88/4.83 tff(2642,axiom,(~v1(constB17)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_17')).
% 6.88/4.83 tff(2643,plain,
% 6.88/4.83 (~v1(constB17)),
% 6.88/4.83 inference(modus_ponens,[status(thm)],[2642, 2641])).
% 6.88/4.83 tff(2644,plain,
% 6.88/4.83 (((~v1(constB17)) | (~v102(constB17))) | v1(constB17)),
% 6.88/4.83 inference(tautology,[status(thm)],[])).
% 6.88/4.83 tff(2645,plain,
% 6.88/4.83 ((~v1(constB17)) | (~v102(constB17))),
% 6.88/4.83 inference(unit_resolution,[status(thm)],[2644, 2643])).
% 6.88/4.83 tff(2646,plain,
% 6.88/4.83 ((~(v101(constB17) <=> (~((~v1(constB17)) | (~v102(constB17)))))) | (~v101(constB17)) | (~((~v1(constB17)) | (~v102(constB17))))),
% 6.88/4.83 inference(tautology,[status(thm)],[])).
% 6.88/4.83 tff(2647,plain,
% 6.88/4.83 ((~(v101(constB17) <=> (~((~v1(constB17)) | (~v102(constB17)))))) | (~v101(constB17))),
% 6.88/4.83 inference(unit_resolution,[status(thm)],[2646, 2645])).
% 6.88/4.83 tff(2648,plain,
% 6.88/4.83 (~v101(constB17)),
% 6.88/4.83 inference(unit_resolution,[status(thm)],[2647, 2640])).
% 6.88/4.83 tff(2649,plain,
% 6.88/4.83 (((~v101(constB17)) | (~v110(constB17))) | v101(constB17)),
% 6.88/4.83 inference(tautology,[status(thm)],[])).
% 6.88/4.83 tff(2650,plain,
% 6.88/4.83 ((~v101(constB17)) | (~v110(constB17))),
% 6.88/4.83 inference(unit_resolution,[status(thm)],[2649, 2648])).
% 6.88/4.83 tff(2651,plain,
% 6.88/4.83 ((~(v100(constB17) <=> (~((~v101(constB17)) | (~v110(constB17)))))) | (~v100(constB17)) | (~((~v101(constB17)) | (~v110(constB17))))),
% 6.88/4.83 inference(tautology,[status(thm)],[])).
% 6.88/4.83 tff(2652,plain,
% 6.88/4.83 (~v100(constB17)),
% 6.88/4.83 inference(unit_resolution,[status(thm)],[2651, 2650, 2633])).
% 6.88/4.83 tff(2653,plain,
% 6.88/4.83 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB17) | (~nextState(constB16, constB17)) | (~(((~v90(constB17, bitIndex1)) <=> v90(constB16, bitIndex1)) | ((~v90(constB17, bitIndex2)) <=> v90(constB16, bitIndex2)) | ((~v90(constB17, bitIndex0)) <=> v90(constB16, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB17) | (~nextState(constB16, constB17)) | (~(((~v90(constB17, bitIndex1)) <=> v90(constB16, bitIndex1)) | ((~v90(constB17, bitIndex2)) <=> v90(constB16, bitIndex2)) | ((~v90(constB17, bitIndex0)) <=> v90(constB16, bitIndex0)))))),
% 6.88/4.83 inference(rewrite,[status(thm)],[])).
% 6.88/4.83 tff(2654,plain,
% 6.88/4.83 ((v100(constB17) | (~nextState(constB16, constB17)) | (~(((~v90(constB17, bitIndex2)) <=> v90(constB16, bitIndex2)) | ((~v90(constB17, bitIndex1)) <=> v90(constB16, bitIndex1)) | ((~v90(constB17, bitIndex0)) <=> v90(constB16, bitIndex0))))) <=> (v100(constB17) | (~nextState(constB16, constB17)) | (~(((~v90(constB17, bitIndex1)) <=> v90(constB16, bitIndex1)) | ((~v90(constB17, bitIndex2)) <=> v90(constB16, bitIndex2)) | ((~v90(constB17, bitIndex0)) <=> v90(constB16, bitIndex0)))))),
% 6.88/4.83 inference(rewrite,[status(thm)],[])).
% 6.88/4.83 tff(2655,plain,
% 6.88/4.83 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB17) | (~nextState(constB16, constB17)) | (~(((~v90(constB17, bitIndex2)) <=> v90(constB16, bitIndex2)) | ((~v90(constB17, bitIndex1)) <=> v90(constB16, bitIndex1)) | ((~v90(constB17, bitIndex0)) <=> v90(constB16, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB17) | (~nextState(constB16, constB17)) | (~(((~v90(constB17, bitIndex1)) <=> v90(constB16, bitIndex1)) | ((~v90(constB17, bitIndex2)) <=> v90(constB16, bitIndex2)) | ((~v90(constB17, bitIndex0)) <=> v90(constB16, bitIndex0))))))),
% 6.88/4.83 inference(monotonicity,[status(thm)],[2654])).
% 6.88/4.83 tff(2656,plain,
% 6.88/4.83 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB17) | (~nextState(constB16, constB17)) | (~(((~v90(constB17, bitIndex2)) <=> v90(constB16, bitIndex2)) | ((~v90(constB17, bitIndex1)) <=> v90(constB16, bitIndex1)) | ((~v90(constB17, bitIndex0)) <=> v90(constB16, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB17) | (~nextState(constB16, constB17)) | (~(((~v90(constB17, bitIndex1)) <=> v90(constB16, bitIndex1)) | ((~v90(constB17, bitIndex2)) <=> v90(constB16, bitIndex2)) | ((~v90(constB17, bitIndex0)) <=> v90(constB16, bitIndex0)))))),
% 6.88/4.83 inference(transitivity,[status(thm)],[2655, 2653])).
% 6.88/4.83 tff(2657,plain,
% 6.88/4.83 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB17) | (~nextState(constB16, constB17)) | (~(((~v90(constB17, bitIndex2)) <=> v90(constB16, bitIndex2)) | ((~v90(constB17, bitIndex1)) <=> v90(constB16, bitIndex1)) | ((~v90(constB17, bitIndex0)) <=> v90(constB16, bitIndex0)))))),
% 6.88/4.83 inference(quant_inst,[status(thm)],[])).
% 6.88/4.83 tff(2658,plain,
% 6.88/4.83 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB17) | (~nextState(constB16, constB17)) | (~(((~v90(constB17, bitIndex1)) <=> v90(constB16, bitIndex1)) | ((~v90(constB17, bitIndex2)) <=> v90(constB16, bitIndex2)) | ((~v90(constB17, bitIndex0)) <=> v90(constB16, bitIndex0))))),
% 6.88/4.83 inference(modus_ponens,[status(thm)],[2657, 2656])).
% 6.88/4.83 tff(2659,plain,
% 6.88/4.83 (v100(constB17) | (~(((~v90(constB17, bitIndex1)) <=> v90(constB16, bitIndex1)) | ((~v90(constB17, bitIndex2)) <=> v90(constB16, bitIndex2)) | ((~v90(constB17, bitIndex0)) <=> v90(constB16, bitIndex0))))),
% 6.88/4.83 inference(unit_resolution,[status(thm)],[2658, 2629, 494])).
% 6.88/4.83 tff(2660,plain,
% 6.88/4.83 (~(((~v90(constB17, bitIndex1)) <=> v90(constB16, bitIndex1)) | ((~v90(constB17, bitIndex2)) <=> v90(constB16, bitIndex2)) | ((~v90(constB17, bitIndex0)) <=> v90(constB16, bitIndex0)))),
% 6.88/4.83 inference(unit_resolution,[status(thm)],[2659, 2652])).
% 6.88/4.83 tff(2661,plain,
% 6.88/4.83 ((((~v90(constB17, bitIndex1)) <=> v90(constB16, bitIndex1)) | ((~v90(constB17, bitIndex2)) <=> v90(constB16, bitIndex2)) | ((~v90(constB17, bitIndex0)) <=> v90(constB16, bitIndex0))) | (~((~v90(constB17, bitIndex2)) <=> v90(constB16, bitIndex2)))),
% 6.88/4.83 inference(tautology,[status(thm)],[])).
% 6.88/4.83 tff(2662,plain,
% 6.88/4.83 (~((~v90(constB17, bitIndex2)) <=> v90(constB16, bitIndex2))),
% 6.88/4.83 inference(unit_resolution,[status(thm)],[2661, 2660])).
% 6.88/4.83 tff(2663,plain,
% 6.88/4.83 (nextState(constB15, constB16) <=> nextState(constB15, constB16)),
% 6.88/4.83 inference(rewrite,[status(thm)],[])).
% 6.88/4.83 tff(2664,axiom,(nextState(constB15, constB16)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_15')).
% 6.88/4.83 tff(2665,plain,
% 6.88/4.83 (nextState(constB15, constB16)),
% 6.88/4.83 inference(modus_ponens,[status(thm)],[2664, 2663])).
% 6.88/4.83 tff(2666,plain,
% 6.88/4.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB15, constB16)) | (~(((~v129(constB16, bitIndex2)) <=> v127(constB15, bitIndex2)) | ((~v129(constB16, bitIndex1)) <=> v127(constB15, bitIndex1)) | ((~v129(constB16, bitIndex0)) <=> v127(constB15, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB15, constB16)) | (~(((~v129(constB16, bitIndex2)) <=> v127(constB15, bitIndex2)) | ((~v129(constB16, bitIndex1)) <=> v127(constB15, bitIndex1)) | ((~v129(constB16, bitIndex0)) <=> v127(constB15, bitIndex0)))))),
% 6.88/4.83 inference(rewrite,[status(thm)],[])).
% 6.88/4.83 tff(2667,plain,
% 6.88/4.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB15, constB16)) | (~(((~v129(constB16, bitIndex2)) <=> v127(constB15, bitIndex2)) | ((~v129(constB16, bitIndex1)) <=> v127(constB15, bitIndex1)) | ((~v129(constB16, bitIndex0)) <=> v127(constB15, bitIndex0)))))),
% 6.88/4.83 inference(quant_inst,[status(thm)],[])).
% 6.88/4.83 tff(2668,plain,
% 6.88/4.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB15, constB16)) | (~(((~v129(constB16, bitIndex2)) <=> v127(constB15, bitIndex2)) | ((~v129(constB16, bitIndex1)) <=> v127(constB15, bitIndex1)) | ((~v129(constB16, bitIndex0)) <=> v127(constB15, bitIndex0))))),
% 6.88/4.83 inference(modus_ponens,[status(thm)],[2667, 2666])).
% 6.88/4.83 tff(2669,plain,
% 6.88/4.83 (~(((~v129(constB16, bitIndex2)) <=> v127(constB15, bitIndex2)) | ((~v129(constB16, bitIndex1)) <=> v127(constB15, bitIndex1)) | ((~v129(constB16, bitIndex0)) <=> v127(constB15, bitIndex0)))),
% 6.88/4.83 inference(unit_resolution,[status(thm)],[2668, 2665, 517])).
% 6.88/4.83 tff(2670,plain,
% 6.88/4.83 ((((~v129(constB16, bitIndex2)) <=> v127(constB15, bitIndex2)) | ((~v129(constB16, bitIndex1)) <=> v127(constB15, bitIndex1)) | ((~v129(constB16, bitIndex0)) <=> v127(constB15, bitIndex0))) | (~((~v129(constB16, bitIndex2)) <=> v127(constB15, bitIndex2)))),
% 6.88/4.83 inference(tautology,[status(thm)],[])).
% 6.88/4.83 tff(2671,plain,
% 6.88/4.83 (~((~v129(constB16, bitIndex2)) <=> v127(constB15, bitIndex2))),
% 6.88/4.83 inference(unit_resolution,[status(thm)],[2670, 2669])).
% 6.88/4.83 tff(2672,plain,
% 6.88/4.83 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB15) <=> v26(constB15))),
% 6.88/4.83 inference(quant_inst,[status(thm)],[])).
% 6.88/4.83 tff(2673,plain,
% 6.88/4.83 (v111(constB15) <=> v26(constB15)),
% 6.88/4.83 inference(unit_resolution,[status(thm)],[2672, 536])).
% 6.88/4.83 tff(2674,plain,
% 6.88/4.83 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB15))),
% 6.88/4.83 inference(quant_inst,[status(thm)],[])).
% 6.88/4.83 tff(2675,plain,
% 6.88/4.83 (~v26(constB15)),
% 6.88/4.83 inference(unit_resolution,[status(thm)],[2674, 548])).
% 6.88/4.83 tff(2676,plain,
% 6.88/4.83 ((~(v111(constB15) <=> v26(constB15))) | (~v111(constB15)) | v26(constB15)),
% 6.88/4.83 inference(tautology,[status(thm)],[])).
% 6.88/4.83 tff(2677,plain,
% 6.88/4.83 ((~(v111(constB15) <=> v26(constB15))) | (~v111(constB15))),
% 6.88/4.83 inference(unit_resolution,[status(thm)],[2676, 2675])).
% 6.88/4.83 tff(2678,plain,
% 6.88/4.83 (~v111(constB15)),
% 6.88/4.83 inference(unit_resolution,[status(thm)],[2677, 2673])).
% 6.88/4.83 tff(2679,plain,
% 6.88/4.83 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB15) | (~(((~v127(constB15, bitIndex2)) <=> v130(constB15, bitIndex2)) | ((~v127(constB15, bitIndex1)) <=> v130(constB15, bitIndex1)) | ((~v127(constB15, bitIndex0)) <=> v130(constB15, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB15) | (~(((~v127(constB15, bitIndex2)) <=> v130(constB15, bitIndex2)) | ((~v127(constB15, bitIndex1)) <=> v130(constB15, bitIndex1)) | ((~v127(constB15, bitIndex0)) <=> v130(constB15, bitIndex0)))))),
% 6.88/4.84 inference(rewrite,[status(thm)],[])).
% 6.88/4.84 tff(2680,plain,
% 6.88/4.84 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB15) | (~(((~v127(constB15, bitIndex2)) <=> v130(constB15, bitIndex2)) | ((~v127(constB15, bitIndex1)) <=> v130(constB15, bitIndex1)) | ((~v127(constB15, bitIndex0)) <=> v130(constB15, bitIndex0)))))),
% 6.88/4.84 inference(quant_inst,[status(thm)],[])).
% 6.88/4.84 tff(2681,plain,
% 6.88/4.84 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB15) | (~(((~v127(constB15, bitIndex2)) <=> v130(constB15, bitIndex2)) | ((~v127(constB15, bitIndex1)) <=> v130(constB15, bitIndex1)) | ((~v127(constB15, bitIndex0)) <=> v130(constB15, bitIndex0))))),
% 6.88/4.84 inference(modus_ponens,[status(thm)],[2680, 2679])).
% 6.88/4.84 tff(2682,plain,
% 6.88/4.84 (v111(constB15) | (~(((~v127(constB15, bitIndex2)) <=> v130(constB15, bitIndex2)) | ((~v127(constB15, bitIndex1)) <=> v130(constB15, bitIndex1)) | ((~v127(constB15, bitIndex0)) <=> v130(constB15, bitIndex0))))),
% 6.88/4.84 inference(unit_resolution,[status(thm)],[2681, 566])).
% 6.88/4.84 tff(2683,plain,
% 6.88/4.84 (~(((~v127(constB15, bitIndex2)) <=> v130(constB15, bitIndex2)) | ((~v127(constB15, bitIndex1)) <=> v130(constB15, bitIndex1)) | ((~v127(constB15, bitIndex0)) <=> v130(constB15, bitIndex0)))),
% 6.88/4.84 inference(unit_resolution,[status(thm)],[2682, 2678])).
% 6.88/4.84 tff(2684,plain,
% 6.88/4.84 ((((~v127(constB15, bitIndex2)) <=> v130(constB15, bitIndex2)) | ((~v127(constB15, bitIndex1)) <=> v130(constB15, bitIndex1)) | ((~v127(constB15, bitIndex0)) <=> v130(constB15, bitIndex0))) | (~((~v127(constB15, bitIndex2)) <=> v130(constB15, bitIndex2)))),
% 6.88/4.84 inference(tautology,[status(thm)],[])).
% 6.88/4.84 tff(2685,plain,
% 6.88/4.84 (~((~v127(constB15, bitIndex2)) <=> v130(constB15, bitIndex2))),
% 6.88/4.84 inference(unit_resolution,[status(thm)],[2684, 2683])).
% 6.88/4.84 tff(2686,plain,
% 6.88/4.84 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB15) <=> (~(v90(constB15, bitIndex1) | v90(constB15, bitIndex2) | (~v90(constB15, bitIndex0)))))),
% 6.88/4.84 inference(quant_inst,[status(thm)],[])).
% 6.88/4.84 tff(2687,plain,
% 6.88/4.84 (v120(constB15) <=> (~(v90(constB15, bitIndex1) | v90(constB15, bitIndex2) | (~v90(constB15, bitIndex0))))),
% 6.88/4.84 inference(unit_resolution,[status(thm)],[2686, 665])).
% 6.88/4.84 tff(2688,plain,
% 6.88/4.84 (nextState(constB14, constB15) <=> nextState(constB14, constB15)),
% 6.88/4.84 inference(rewrite,[status(thm)],[])).
% 6.88/4.84 tff(2689,axiom,(nextState(constB14, constB15)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_14')).
% 6.88/4.84 tff(2690,plain,
% 6.88/4.84 (nextState(constB14, constB15)),
% 6.88/4.84 inference(modus_ponens,[status(thm)],[2689, 2688])).
% 6.88/4.84 tff(2691,plain,
% 6.88/4.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB14, constB15)) | (v100(constB15) <=> (~((~v101(constB15)) | (~v110(constB15))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB14, constB15)) | (v100(constB15) <=> (~((~v101(constB15)) | (~v110(constB15))))))),
% 6.88/4.84 inference(rewrite,[status(thm)],[])).
% 6.88/4.84 tff(2692,plain,
% 6.88/4.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB14, constB15)) | (v100(constB15) <=> (~((~v101(constB15)) | (~v110(constB15))))))),
% 6.88/4.84 inference(quant_inst,[status(thm)],[])).
% 6.88/4.84 tff(2693,plain,
% 6.88/4.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB14, constB15)) | (v100(constB15) <=> (~((~v101(constB15)) | (~v110(constB15)))))),
% 6.88/4.84 inference(modus_ponens,[status(thm)],[2692, 2691])).
% 6.88/4.84 tff(2694,plain,
% 6.88/4.84 (v100(constB15) <=> (~((~v101(constB15)) | (~v110(constB15))))),
% 6.88/4.84 inference(unit_resolution,[status(thm)],[2693, 2690, 445])).
% 6.88/4.84 tff(2695,plain,
% 6.88/4.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB14, constB15)) | (v101(constB15) <=> (~((~v1(constB15)) | (~v102(constB15))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB14, constB15)) | (v101(constB15) <=> (~((~v1(constB15)) | (~v102(constB15))))))),
% 6.88/4.84 inference(rewrite,[status(thm)],[])).
% 6.88/4.84 tff(2696,plain,
% 6.88/4.84 (((~nextState(constB14, constB15)) | (v101(constB15) <=> (~((~v102(constB15)) | (~v1(constB15)))))) <=> ((~nextState(constB14, constB15)) | (v101(constB15) <=> (~((~v1(constB15)) | (~v102(constB15))))))),
% 6.88/4.84 inference(rewrite,[status(thm)],[])).
% 6.88/4.84 tff(2697,plain,
% 6.88/4.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB14, constB15)) | (v101(constB15) <=> (~((~v102(constB15)) | (~v1(constB15))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB14, constB15)) | (v101(constB15) <=> (~((~v1(constB15)) | (~v102(constB15)))))))),
% 6.88/4.84 inference(monotonicity,[status(thm)],[2696])).
% 6.88/4.84 tff(2698,plain,
% 6.88/4.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB14, constB15)) | (v101(constB15) <=> (~((~v102(constB15)) | (~v1(constB15))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB14, constB15)) | (v101(constB15) <=> (~((~v1(constB15)) | (~v102(constB15))))))),
% 6.88/4.84 inference(transitivity,[status(thm)],[2697, 2695])).
% 6.88/4.84 tff(2699,plain,
% 6.88/4.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB14, constB15)) | (v101(constB15) <=> (~((~v102(constB15)) | (~v1(constB15))))))),
% 6.88/4.84 inference(quant_inst,[status(thm)],[])).
% 6.88/4.84 tff(2700,plain,
% 6.88/4.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB14, constB15)) | (v101(constB15) <=> (~((~v1(constB15)) | (~v102(constB15)))))),
% 6.88/4.84 inference(modus_ponens,[status(thm)],[2699, 2698])).
% 6.88/4.84 tff(2701,plain,
% 6.88/4.84 (v101(constB15) <=> (~((~v1(constB15)) | (~v102(constB15))))),
% 6.88/4.84 inference(unit_resolution,[status(thm)],[2700, 2690, 465])).
% 6.88/4.84 tff(2702,plain,
% 6.88/4.84 ((~v1(constB15)) <=> (~v1(constB15))),
% 6.88/4.84 inference(rewrite,[status(thm)],[])).
% 6.88/4.84 tff(2703,axiom,(~v1(constB15)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_15')).
% 6.88/4.84 tff(2704,plain,
% 6.88/4.84 (~v1(constB15)),
% 6.88/4.84 inference(modus_ponens,[status(thm)],[2703, 2702])).
% 6.88/4.84 tff(2705,plain,
% 6.88/4.84 (((~v1(constB15)) | (~v102(constB15))) | v1(constB15)),
% 6.88/4.84 inference(tautology,[status(thm)],[])).
% 6.88/4.84 tff(2706,plain,
% 6.88/4.84 ((~v1(constB15)) | (~v102(constB15))),
% 6.88/4.84 inference(unit_resolution,[status(thm)],[2705, 2704])).
% 6.88/4.84 tff(2707,plain,
% 6.88/4.84 ((~(v101(constB15) <=> (~((~v1(constB15)) | (~v102(constB15)))))) | (~v101(constB15)) | (~((~v1(constB15)) | (~v102(constB15))))),
% 6.88/4.84 inference(tautology,[status(thm)],[])).
% 6.88/4.84 tff(2708,plain,
% 6.88/4.84 ((~(v101(constB15) <=> (~((~v1(constB15)) | (~v102(constB15)))))) | (~v101(constB15))),
% 6.88/4.84 inference(unit_resolution,[status(thm)],[2707, 2706])).
% 6.88/4.84 tff(2709,plain,
% 6.88/4.84 (~v101(constB15)),
% 6.88/4.84 inference(unit_resolution,[status(thm)],[2708, 2701])).
% 6.88/4.84 tff(2710,plain,
% 6.88/4.84 (((~v101(constB15)) | (~v110(constB15))) | v101(constB15)),
% 6.88/4.84 inference(tautology,[status(thm)],[])).
% 6.88/4.84 tff(2711,plain,
% 6.88/4.84 ((~v101(constB15)) | (~v110(constB15))),
% 6.88/4.84 inference(unit_resolution,[status(thm)],[2710, 2709])).
% 6.88/4.84 tff(2712,plain,
% 6.88/4.84 ((~(v100(constB15) <=> (~((~v101(constB15)) | (~v110(constB15)))))) | (~v100(constB15)) | (~((~v101(constB15)) | (~v110(constB15))))),
% 6.88/4.84 inference(tautology,[status(thm)],[])).
% 6.88/4.84 tff(2713,plain,
% 6.88/4.84 (~v100(constB15)),
% 6.88/4.84 inference(unit_resolution,[status(thm)],[2712, 2711, 2694])).
% 6.88/4.84 tff(2714,plain,
% 6.88/4.84 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB15) | (~nextState(constB14, constB15)) | (~(((~v90(constB15, bitIndex1)) <=> v90(constB14, bitIndex1)) | ((~v90(constB15, bitIndex2)) <=> v90(constB14, bitIndex2)) | ((~v90(constB15, bitIndex0)) <=> v90(constB14, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB15) | (~nextState(constB14, constB15)) | (~(((~v90(constB15, bitIndex1)) <=> v90(constB14, bitIndex1)) | ((~v90(constB15, bitIndex2)) <=> v90(constB14, bitIndex2)) | ((~v90(constB15, bitIndex0)) <=> v90(constB14, bitIndex0)))))),
% 6.88/4.84 inference(rewrite,[status(thm)],[])).
% 6.88/4.84 tff(2715,plain,
% 6.88/4.84 ((v100(constB15) | (~nextState(constB14, constB15)) | (~(((~v90(constB15, bitIndex2)) <=> v90(constB14, bitIndex2)) | ((~v90(constB15, bitIndex1)) <=> v90(constB14, bitIndex1)) | ((~v90(constB15, bitIndex0)) <=> v90(constB14, bitIndex0))))) <=> (v100(constB15) | (~nextState(constB14, constB15)) | (~(((~v90(constB15, bitIndex1)) <=> v90(constB14, bitIndex1)) | ((~v90(constB15, bitIndex2)) <=> v90(constB14, bitIndex2)) | ((~v90(constB15, bitIndex0)) <=> v90(constB14, bitIndex0)))))),
% 6.88/4.84 inference(rewrite,[status(thm)],[])).
% 6.88/4.84 tff(2716,plain,
% 6.88/4.84 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB15) | (~nextState(constB14, constB15)) | (~(((~v90(constB15, bitIndex2)) <=> v90(constB14, bitIndex2)) | ((~v90(constB15, bitIndex1)) <=> v90(constB14, bitIndex1)) | ((~v90(constB15, bitIndex0)) <=> v90(constB14, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB15) | (~nextState(constB14, constB15)) | (~(((~v90(constB15, bitIndex1)) <=> v90(constB14, bitIndex1)) | ((~v90(constB15, bitIndex2)) <=> v90(constB14, bitIndex2)) | ((~v90(constB15, bitIndex0)) <=> v90(constB14, bitIndex0))))))),
% 6.88/4.84 inference(monotonicity,[status(thm)],[2715])).
% 6.88/4.84 tff(2717,plain,
% 6.88/4.84 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB15) | (~nextState(constB14, constB15)) | (~(((~v90(constB15, bitIndex2)) <=> v90(constB14, bitIndex2)) | ((~v90(constB15, bitIndex1)) <=> v90(constB14, bitIndex1)) | ((~v90(constB15, bitIndex0)) <=> v90(constB14, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB15) | (~nextState(constB14, constB15)) | (~(((~v90(constB15, bitIndex1)) <=> v90(constB14, bitIndex1)) | ((~v90(constB15, bitIndex2)) <=> v90(constB14, bitIndex2)) | ((~v90(constB15, bitIndex0)) <=> v90(constB14, bitIndex0)))))),
% 6.88/4.84 inference(transitivity,[status(thm)],[2716, 2714])).
% 6.88/4.84 tff(2718,plain,
% 6.88/4.84 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB15) | (~nextState(constB14, constB15)) | (~(((~v90(constB15, bitIndex2)) <=> v90(constB14, bitIndex2)) | ((~v90(constB15, bitIndex1)) <=> v90(constB14, bitIndex1)) | ((~v90(constB15, bitIndex0)) <=> v90(constB14, bitIndex0)))))),
% 6.88/4.84 inference(quant_inst,[status(thm)],[])).
% 6.88/4.84 tff(2719,plain,
% 6.88/4.84 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB15) | (~nextState(constB14, constB15)) | (~(((~v90(constB15, bitIndex1)) <=> v90(constB14, bitIndex1)) | ((~v90(constB15, bitIndex2)) <=> v90(constB14, bitIndex2)) | ((~v90(constB15, bitIndex0)) <=> v90(constB14, bitIndex0))))),
% 6.88/4.84 inference(modus_ponens,[status(thm)],[2718, 2717])).
% 6.88/4.84 tff(2720,plain,
% 6.88/4.84 (v100(constB15) | (~(((~v90(constB15, bitIndex1)) <=> v90(constB14, bitIndex1)) | ((~v90(constB15, bitIndex2)) <=> v90(constB14, bitIndex2)) | ((~v90(constB15, bitIndex0)) <=> v90(constB14, bitIndex0))))),
% 6.88/4.84 inference(unit_resolution,[status(thm)],[2719, 2690, 494])).
% 6.88/4.84 tff(2721,plain,
% 6.88/4.84 (~(((~v90(constB15, bitIndex1)) <=> v90(constB14, bitIndex1)) | ((~v90(constB15, bitIndex2)) <=> v90(constB14, bitIndex2)) | ((~v90(constB15, bitIndex0)) <=> v90(constB14, bitIndex0)))),
% 6.88/4.84 inference(unit_resolution,[status(thm)],[2720, 2713])).
% 6.88/4.84 tff(2722,plain,
% 6.88/4.84 ((((~v90(constB15, bitIndex1)) <=> v90(constB14, bitIndex1)) | ((~v90(constB15, bitIndex2)) <=> v90(constB14, bitIndex2)) | ((~v90(constB15, bitIndex0)) <=> v90(constB14, bitIndex0))) | (~((~v90(constB15, bitIndex0)) <=> v90(constB14, bitIndex0)))),
% 6.88/4.84 inference(tautology,[status(thm)],[])).
% 6.88/4.84 tff(2723,plain,
% 6.88/4.84 (~((~v90(constB15, bitIndex0)) <=> v90(constB14, bitIndex0))),
% 6.88/4.84 inference(unit_resolution,[status(thm)],[2722, 2721])).
% 6.88/4.84 tff(2724,plain,
% 6.88/4.84 (nextState(constB13, constB14) <=> nextState(constB13, constB14)),
% 6.88/4.84 inference(rewrite,[status(thm)],[])).
% 6.88/4.84 tff(2725,axiom,(nextState(constB13, constB14)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_13')).
% 6.88/4.84 tff(2726,plain,
% 6.88/4.84 (nextState(constB13, constB14)),
% 6.88/4.84 inference(modus_ponens,[status(thm)],[2725, 2724])).
% 6.88/4.84 tff(2727,plain,
% 6.88/4.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB13, constB14)) | (~(((~v129(constB14, bitIndex2)) <=> v127(constB13, bitIndex2)) | ((~v129(constB14, bitIndex1)) <=> v127(constB13, bitIndex1)) | ((~v129(constB14, bitIndex0)) <=> v127(constB13, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB13, constB14)) | (~(((~v129(constB14, bitIndex2)) <=> v127(constB13, bitIndex2)) | ((~v129(constB14, bitIndex1)) <=> v127(constB13, bitIndex1)) | ((~v129(constB14, bitIndex0)) <=> v127(constB13, bitIndex0)))))),
% 6.88/4.84 inference(rewrite,[status(thm)],[])).
% 6.88/4.84 tff(2728,plain,
% 6.88/4.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB13, constB14)) | (~(((~v129(constB14, bitIndex2)) <=> v127(constB13, bitIndex2)) | ((~v129(constB14, bitIndex1)) <=> v127(constB13, bitIndex1)) | ((~v129(constB14, bitIndex0)) <=> v127(constB13, bitIndex0)))))),
% 6.88/4.84 inference(quant_inst,[status(thm)],[])).
% 6.88/4.84 tff(2729,plain,
% 6.88/4.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB13, constB14)) | (~(((~v129(constB14, bitIndex2)) <=> v127(constB13, bitIndex2)) | ((~v129(constB14, bitIndex1)) <=> v127(constB13, bitIndex1)) | ((~v129(constB14, bitIndex0)) <=> v127(constB13, bitIndex0))))),
% 6.88/4.84 inference(modus_ponens,[status(thm)],[2728, 2727])).
% 6.88/4.84 tff(2730,plain,
% 6.88/4.84 (~(((~v129(constB14, bitIndex2)) <=> v127(constB13, bitIndex2)) | ((~v129(constB14, bitIndex1)) <=> v127(constB13, bitIndex1)) | ((~v129(constB14, bitIndex0)) <=> v127(constB13, bitIndex0)))),
% 6.88/4.84 inference(unit_resolution,[status(thm)],[2729, 2726, 517])).
% 6.88/4.84 tff(2731,plain,
% 6.88/4.84 ((((~v129(constB14, bitIndex2)) <=> v127(constB13, bitIndex2)) | ((~v129(constB14, bitIndex1)) <=> v127(constB13, bitIndex1)) | ((~v129(constB14, bitIndex0)) <=> v127(constB13, bitIndex0))) | (~((~v129(constB14, bitIndex0)) <=> v127(constB13, bitIndex0)))),
% 6.88/4.84 inference(tautology,[status(thm)],[])).
% 6.88/4.84 tff(2732,plain,
% 6.88/4.84 (~((~v129(constB14, bitIndex0)) <=> v127(constB13, bitIndex0))),
% 6.88/4.84 inference(unit_resolution,[status(thm)],[2731, 2730])).
% 6.88/4.84 tff(2733,plain,
% 6.88/4.84 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB13) <=> v26(constB13))),
% 6.88/4.84 inference(quant_inst,[status(thm)],[])).
% 6.88/4.84 tff(2734,plain,
% 6.88/4.84 (v111(constB13) <=> v26(constB13)),
% 6.88/4.84 inference(unit_resolution,[status(thm)],[2733, 536])).
% 6.88/4.84 tff(2735,plain,
% 6.88/4.84 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB13))),
% 6.88/4.84 inference(quant_inst,[status(thm)],[])).
% 6.88/4.84 tff(2736,plain,
% 6.88/4.84 (~v26(constB13)),
% 6.88/4.84 inference(unit_resolution,[status(thm)],[2735, 548])).
% 6.88/4.84 tff(2737,plain,
% 6.88/4.84 ((~(v111(constB13) <=> v26(constB13))) | (~v111(constB13)) | v26(constB13)),
% 6.88/4.84 inference(tautology,[status(thm)],[])).
% 6.88/4.84 tff(2738,plain,
% 6.88/4.84 ((~(v111(constB13) <=> v26(constB13))) | (~v111(constB13))),
% 6.88/4.84 inference(unit_resolution,[status(thm)],[2737, 2736])).
% 6.88/4.84 tff(2739,plain,
% 6.88/4.84 (~v111(constB13)),
% 6.88/4.84 inference(unit_resolution,[status(thm)],[2738, 2734])).
% 6.88/4.84 tff(2740,plain,
% 6.88/4.84 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB13) | (~(((~v127(constB13, bitIndex2)) <=> v130(constB13, bitIndex2)) | ((~v127(constB13, bitIndex1)) <=> v130(constB13, bitIndex1)) | ((~v127(constB13, bitIndex0)) <=> v130(constB13, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB13) | (~(((~v127(constB13, bitIndex2)) <=> v130(constB13, bitIndex2)) | ((~v127(constB13, bitIndex1)) <=> v130(constB13, bitIndex1)) | ((~v127(constB13, bitIndex0)) <=> v130(constB13, bitIndex0)))))),
% 6.88/4.84 inference(rewrite,[status(thm)],[])).
% 6.88/4.84 tff(2741,plain,
% 6.88/4.84 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB13) | (~(((~v127(constB13, bitIndex2)) <=> v130(constB13, bitIndex2)) | ((~v127(constB13, bitIndex1)) <=> v130(constB13, bitIndex1)) | ((~v127(constB13, bitIndex0)) <=> v130(constB13, bitIndex0)))))),
% 6.88/4.84 inference(quant_inst,[status(thm)],[])).
% 6.88/4.84 tff(2742,plain,
% 6.88/4.84 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB13) | (~(((~v127(constB13, bitIndex2)) <=> v130(constB13, bitIndex2)) | ((~v127(constB13, bitIndex1)) <=> v130(constB13, bitIndex1)) | ((~v127(constB13, bitIndex0)) <=> v130(constB13, bitIndex0))))),
% 6.88/4.84 inference(modus_ponens,[status(thm)],[2741, 2740])).
% 6.88/4.84 tff(2743,plain,
% 6.88/4.84 (v111(constB13) | (~(((~v127(constB13, bitIndex2)) <=> v130(constB13, bitIndex2)) | ((~v127(constB13, bitIndex1)) <=> v130(constB13, bitIndex1)) | ((~v127(constB13, bitIndex0)) <=> v130(constB13, bitIndex0))))),
% 6.88/4.84 inference(unit_resolution,[status(thm)],[2742, 566])).
% 6.88/4.84 tff(2744,plain,
% 6.88/4.84 (~(((~v127(constB13, bitIndex2)) <=> v130(constB13, bitIndex2)) | ((~v127(constB13, bitIndex1)) <=> v130(constB13, bitIndex1)) | ((~v127(constB13, bitIndex0)) <=> v130(constB13, bitIndex0)))),
% 6.88/4.84 inference(unit_resolution,[status(thm)],[2743, 2739])).
% 6.88/4.84 tff(2745,plain,
% 6.88/4.84 ((((~v127(constB13, bitIndex2)) <=> v130(constB13, bitIndex2)) | ((~v127(constB13, bitIndex1)) <=> v130(constB13, bitIndex1)) | ((~v127(constB13, bitIndex0)) <=> v130(constB13, bitIndex0))) | (~((~v127(constB13, bitIndex0)) <=> v130(constB13, bitIndex0)))),
% 6.88/4.84 inference(tautology,[status(thm)],[])).
% 6.88/4.84 tff(2746,plain,
% 6.88/4.84 (~((~v127(constB13, bitIndex0)) <=> v130(constB13, bitIndex0))),
% 6.88/4.84 inference(unit_resolution,[status(thm)],[2745, 2744])).
% 6.88/4.84 tff(2747,plain,
% 6.88/4.84 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB13) <=> (~(v90(constB13, bitIndex1) | v90(constB13, bitIndex0) | (~v90(constB13, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB13) <=> (~(v90(constB13, bitIndex1) | v90(constB13, bitIndex0) | (~v90(constB13, bitIndex2))))))),
% 6.88/4.84 inference(rewrite,[status(thm)],[])).
% 6.88/4.84 tff(2748,plain,
% 6.88/4.84 ((v123(constB13) <=> (~(v90(constB13, bitIndex0) | v90(constB13, bitIndex1) | (~v90(constB13, bitIndex2))))) <=> (v123(constB13) <=> (~(v90(constB13, bitIndex1) | v90(constB13, bitIndex0) | (~v90(constB13, bitIndex2)))))),
% 6.88/4.84 inference(rewrite,[status(thm)],[])).
% 6.88/4.84 tff(2749,plain,
% 6.88/4.84 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB13) <=> (~(v90(constB13, bitIndex0) | v90(constB13, bitIndex1) | (~v90(constB13, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB13) <=> (~(v90(constB13, bitIndex1) | v90(constB13, bitIndex0) | (~v90(constB13, bitIndex2))))))),
% 6.88/4.84 inference(monotonicity,[status(thm)],[2748])).
% 6.88/4.84 tff(2750,plain,
% 6.88/4.84 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB13) <=> (~(v90(constB13, bitIndex0) | v90(constB13, bitIndex1) | (~v90(constB13, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB13) <=> (~(v90(constB13, bitIndex1) | v90(constB13, bitIndex0) | (~v90(constB13, bitIndex2))))))),
% 6.88/4.84 inference(transitivity,[status(thm)],[2749, 2747])).
% 6.88/4.84 tff(2751,plain,
% 6.88/4.84 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB13) <=> (~(v90(constB13, bitIndex0) | v90(constB13, bitIndex1) | (~v90(constB13, bitIndex2)))))),
% 6.88/4.84 inference(quant_inst,[status(thm)],[])).
% 6.88/4.84 tff(2752,plain,
% 6.88/4.84 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB13) <=> (~(v90(constB13, bitIndex1) | v90(constB13, bitIndex0) | (~v90(constB13, bitIndex2)))))),
% 6.88/4.84 inference(modus_ponens,[status(thm)],[2751, 2750])).
% 6.88/4.84 tff(2753,plain,
% 6.88/4.84 (v123(constB13) <=> (~(v90(constB13, bitIndex1) | v90(constB13, bitIndex0) | (~v90(constB13, bitIndex2))))),
% 6.88/4.84 inference(unit_resolution,[status(thm)],[2752, 800])).
% 6.88/4.84 tff(2754,plain,
% 6.88/4.84 (nextState(constB12, constB13) <=> nextState(constB12, constB13)),
% 6.88/4.84 inference(rewrite,[status(thm)],[])).
% 6.88/4.84 tff(2755,axiom,(nextState(constB12, constB13)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_12')).
% 6.88/4.84 tff(2756,plain,
% 6.88/4.84 (nextState(constB12, constB13)),
% 6.88/4.84 inference(modus_ponens,[status(thm)],[2755, 2754])).
% 6.88/4.84 tff(2757,plain,
% 6.88/4.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB12, constB13)) | (v100(constB13) <=> (~((~v101(constB13)) | (~v110(constB13))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB12, constB13)) | (v100(constB13) <=> (~((~v101(constB13)) | (~v110(constB13))))))),
% 6.88/4.84 inference(rewrite,[status(thm)],[])).
% 6.88/4.84 tff(2758,plain,
% 6.88/4.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB12, constB13)) | (v100(constB13) <=> (~((~v101(constB13)) | (~v110(constB13))))))),
% 6.88/4.84 inference(quant_inst,[status(thm)],[])).
% 6.88/4.84 tff(2759,plain,
% 6.88/4.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB12, constB13)) | (v100(constB13) <=> (~((~v101(constB13)) | (~v110(constB13)))))),
% 6.88/4.84 inference(modus_ponens,[status(thm)],[2758, 2757])).
% 6.88/4.84 tff(2760,plain,
% 6.88/4.84 (v100(constB13) <=> (~((~v101(constB13)) | (~v110(constB13))))),
% 6.88/4.84 inference(unit_resolution,[status(thm)],[2759, 2756, 445])).
% 6.88/4.84 tff(2761,plain,
% 6.88/4.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB12, constB13)) | (v101(constB13) <=> (~((~v1(constB13)) | (~v102(constB13))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB12, constB13)) | (v101(constB13) <=> (~((~v1(constB13)) | (~v102(constB13))))))),
% 6.88/4.84 inference(rewrite,[status(thm)],[])).
% 6.88/4.84 tff(2762,plain,
% 6.88/4.84 (((~nextState(constB12, constB13)) | (v101(constB13) <=> (~((~v102(constB13)) | (~v1(constB13)))))) <=> ((~nextState(constB12, constB13)) | (v101(constB13) <=> (~((~v1(constB13)) | (~v102(constB13))))))),
% 6.88/4.84 inference(rewrite,[status(thm)],[])).
% 6.88/4.84 tff(2763,plain,
% 6.88/4.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB12, constB13)) | (v101(constB13) <=> (~((~v102(constB13)) | (~v1(constB13))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB12, constB13)) | (v101(constB13) <=> (~((~v1(constB13)) | (~v102(constB13)))))))),
% 6.88/4.84 inference(monotonicity,[status(thm)],[2762])).
% 6.88/4.84 tff(2764,plain,
% 6.88/4.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB12, constB13)) | (v101(constB13) <=> (~((~v102(constB13)) | (~v1(constB13))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB12, constB13)) | (v101(constB13) <=> (~((~v1(constB13)) | (~v102(constB13))))))),
% 6.88/4.84 inference(transitivity,[status(thm)],[2763, 2761])).
% 6.88/4.84 tff(2765,plain,
% 6.88/4.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB12, constB13)) | (v101(constB13) <=> (~((~v102(constB13)) | (~v1(constB13))))))),
% 6.88/4.84 inference(quant_inst,[status(thm)],[])).
% 6.88/4.84 tff(2766,plain,
% 6.88/4.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB12, constB13)) | (v101(constB13) <=> (~((~v1(constB13)) | (~v102(constB13)))))),
% 6.88/4.84 inference(modus_ponens,[status(thm)],[2765, 2764])).
% 6.88/4.84 tff(2767,plain,
% 6.88/4.84 (v101(constB13) <=> (~((~v1(constB13)) | (~v102(constB13))))),
% 6.88/4.84 inference(unit_resolution,[status(thm)],[2766, 2756, 465])).
% 6.88/4.84 tff(2768,plain,
% 6.88/4.84 ((~v1(constB13)) <=> (~v1(constB13))),
% 6.88/4.84 inference(rewrite,[status(thm)],[])).
% 6.88/4.84 tff(2769,axiom,(~v1(constB13)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_13')).
% 6.88/4.84 tff(2770,plain,
% 6.88/4.84 (~v1(constB13)),
% 6.88/4.84 inference(modus_ponens,[status(thm)],[2769, 2768])).
% 6.88/4.84 tff(2771,plain,
% 6.88/4.84 (((~v1(constB13)) | (~v102(constB13))) | v1(constB13)),
% 6.88/4.84 inference(tautology,[status(thm)],[])).
% 6.88/4.84 tff(2772,plain,
% 6.88/4.84 ((~v1(constB13)) | (~v102(constB13))),
% 6.88/4.84 inference(unit_resolution,[status(thm)],[2771, 2770])).
% 6.88/4.84 tff(2773,plain,
% 6.88/4.84 ((~(v101(constB13) <=> (~((~v1(constB13)) | (~v102(constB13)))))) | (~v101(constB13)) | (~((~v1(constB13)) | (~v102(constB13))))),
% 6.88/4.84 inference(tautology,[status(thm)],[])).
% 6.88/4.84 tff(2774,plain,
% 6.88/4.84 ((~(v101(constB13) <=> (~((~v1(constB13)) | (~v102(constB13)))))) | (~v101(constB13))),
% 6.88/4.84 inference(unit_resolution,[status(thm)],[2773, 2772])).
% 6.88/4.84 tff(2775,plain,
% 6.88/4.84 (~v101(constB13)),
% 6.88/4.84 inference(unit_resolution,[status(thm)],[2774, 2767])).
% 6.88/4.84 tff(2776,plain,
% 6.88/4.84 (((~v101(constB13)) | (~v110(constB13))) | v101(constB13)),
% 6.88/4.84 inference(tautology,[status(thm)],[])).
% 6.88/4.84 tff(2777,plain,
% 6.88/4.84 ((~v101(constB13)) | (~v110(constB13))),
% 6.88/4.84 inference(unit_resolution,[status(thm)],[2776, 2775])).
% 6.88/4.84 tff(2778,plain,
% 6.88/4.84 ((~(v100(constB13) <=> (~((~v101(constB13)) | (~v110(constB13)))))) | (~v100(constB13)) | (~((~v101(constB13)) | (~v110(constB13))))),
% 6.88/4.84 inference(tautology,[status(thm)],[])).
% 6.88/4.84 tff(2779,plain,
% 6.88/4.84 (~v100(constB13)),
% 6.88/4.84 inference(unit_resolution,[status(thm)],[2778, 2777, 2760])).
% 6.88/4.84 tff(2780,plain,
% 6.88/4.84 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB13) | (~nextState(constB12, constB13)) | (~(((~v90(constB13, bitIndex1)) <=> v90(constB12, bitIndex1)) | ((~v90(constB13, bitIndex2)) <=> v90(constB12, bitIndex2)) | ((~v90(constB13, bitIndex0)) <=> v90(constB12, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB13) | (~nextState(constB12, constB13)) | (~(((~v90(constB13, bitIndex1)) <=> v90(constB12, bitIndex1)) | ((~v90(constB13, bitIndex2)) <=> v90(constB12, bitIndex2)) | ((~v90(constB13, bitIndex0)) <=> v90(constB12, bitIndex0)))))),
% 6.88/4.84 inference(rewrite,[status(thm)],[])).
% 6.88/4.84 tff(2781,plain,
% 6.88/4.84 ((v100(constB13) | (~nextState(constB12, constB13)) | (~(((~v90(constB13, bitIndex2)) <=> v90(constB12, bitIndex2)) | ((~v90(constB13, bitIndex1)) <=> v90(constB12, bitIndex1)) | ((~v90(constB13, bitIndex0)) <=> v90(constB12, bitIndex0))))) <=> (v100(constB13) | (~nextState(constB12, constB13)) | (~(((~v90(constB13, bitIndex1)) <=> v90(constB12, bitIndex1)) | ((~v90(constB13, bitIndex2)) <=> v90(constB12, bitIndex2)) | ((~v90(constB13, bitIndex0)) <=> v90(constB12, bitIndex0)))))),
% 6.88/4.85 inference(rewrite,[status(thm)],[])).
% 6.88/4.85 tff(2782,plain,
% 6.88/4.85 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB13) | (~nextState(constB12, constB13)) | (~(((~v90(constB13, bitIndex2)) <=> v90(constB12, bitIndex2)) | ((~v90(constB13, bitIndex1)) <=> v90(constB12, bitIndex1)) | ((~v90(constB13, bitIndex0)) <=> v90(constB12, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB13) | (~nextState(constB12, constB13)) | (~(((~v90(constB13, bitIndex1)) <=> v90(constB12, bitIndex1)) | ((~v90(constB13, bitIndex2)) <=> v90(constB12, bitIndex2)) | ((~v90(constB13, bitIndex0)) <=> v90(constB12, bitIndex0))))))),
% 6.88/4.85 inference(monotonicity,[status(thm)],[2781])).
% 6.88/4.85 tff(2783,plain,
% 6.88/4.85 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB13) | (~nextState(constB12, constB13)) | (~(((~v90(constB13, bitIndex2)) <=> v90(constB12, bitIndex2)) | ((~v90(constB13, bitIndex1)) <=> v90(constB12, bitIndex1)) | ((~v90(constB13, bitIndex0)) <=> v90(constB12, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB13) | (~nextState(constB12, constB13)) | (~(((~v90(constB13, bitIndex1)) <=> v90(constB12, bitIndex1)) | ((~v90(constB13, bitIndex2)) <=> v90(constB12, bitIndex2)) | ((~v90(constB13, bitIndex0)) <=> v90(constB12, bitIndex0)))))),
% 6.88/4.85 inference(transitivity,[status(thm)],[2782, 2780])).
% 6.88/4.85 tff(2784,plain,
% 6.88/4.85 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB13) | (~nextState(constB12, constB13)) | (~(((~v90(constB13, bitIndex2)) <=> v90(constB12, bitIndex2)) | ((~v90(constB13, bitIndex1)) <=> v90(constB12, bitIndex1)) | ((~v90(constB13, bitIndex0)) <=> v90(constB12, bitIndex0)))))),
% 6.88/4.85 inference(quant_inst,[status(thm)],[])).
% 6.88/4.85 tff(2785,plain,
% 6.88/4.85 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB13) | (~nextState(constB12, constB13)) | (~(((~v90(constB13, bitIndex1)) <=> v90(constB12, bitIndex1)) | ((~v90(constB13, bitIndex2)) <=> v90(constB12, bitIndex2)) | ((~v90(constB13, bitIndex0)) <=> v90(constB12, bitIndex0))))),
% 6.88/4.85 inference(modus_ponens,[status(thm)],[2784, 2783])).
% 6.88/4.85 tff(2786,plain,
% 6.88/4.85 (v100(constB13) | (~(((~v90(constB13, bitIndex1)) <=> v90(constB12, bitIndex1)) | ((~v90(constB13, bitIndex2)) <=> v90(constB12, bitIndex2)) | ((~v90(constB13, bitIndex0)) <=> v90(constB12, bitIndex0))))),
% 6.88/4.85 inference(unit_resolution,[status(thm)],[2785, 2756, 494])).
% 6.88/4.85 tff(2787,plain,
% 6.88/4.85 (~(((~v90(constB13, bitIndex1)) <=> v90(constB12, bitIndex1)) | ((~v90(constB13, bitIndex2)) <=> v90(constB12, bitIndex2)) | ((~v90(constB13, bitIndex0)) <=> v90(constB12, bitIndex0)))),
% 6.88/4.85 inference(unit_resolution,[status(thm)],[2786, 2779])).
% 6.88/4.85 tff(2788,plain,
% 6.88/4.85 ((((~v90(constB13, bitIndex1)) <=> v90(constB12, bitIndex1)) | ((~v90(constB13, bitIndex2)) <=> v90(constB12, bitIndex2)) | ((~v90(constB13, bitIndex0)) <=> v90(constB12, bitIndex0))) | (~((~v90(constB13, bitIndex2)) <=> v90(constB12, bitIndex2)))),
% 6.88/4.85 inference(tautology,[status(thm)],[])).
% 6.88/4.85 tff(2789,plain,
% 6.88/4.85 (~((~v90(constB13, bitIndex2)) <=> v90(constB12, bitIndex2))),
% 6.88/4.85 inference(unit_resolution,[status(thm)],[2788, 2787])).
% 6.88/4.85 tff(2790,plain,
% 6.88/4.85 (nextState(constB11, constB12) <=> nextState(constB11, constB12)),
% 6.88/4.85 inference(rewrite,[status(thm)],[])).
% 6.88/4.85 tff(2791,axiom,(nextState(constB11, constB12)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_11')).
% 6.88/4.85 tff(2792,plain,
% 6.88/4.85 (nextState(constB11, constB12)),
% 6.88/4.85 inference(modus_ponens,[status(thm)],[2791, 2790])).
% 6.88/4.85 tff(2793,plain,
% 6.88/4.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB11, constB12)) | (~(((~v129(constB12, bitIndex2)) <=> v127(constB11, bitIndex2)) | ((~v129(constB12, bitIndex1)) <=> v127(constB11, bitIndex1)) | ((~v129(constB12, bitIndex0)) <=> v127(constB11, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB11, constB12)) | (~(((~v129(constB12, bitIndex2)) <=> v127(constB11, bitIndex2)) | ((~v129(constB12, bitIndex1)) <=> v127(constB11, bitIndex1)) | ((~v129(constB12, bitIndex0)) <=> v127(constB11, bitIndex0)))))),
% 6.88/4.85 inference(rewrite,[status(thm)],[])).
% 6.88/4.85 tff(2794,plain,
% 6.88/4.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB11, constB12)) | (~(((~v129(constB12, bitIndex2)) <=> v127(constB11, bitIndex2)) | ((~v129(constB12, bitIndex1)) <=> v127(constB11, bitIndex1)) | ((~v129(constB12, bitIndex0)) <=> v127(constB11, bitIndex0)))))),
% 6.88/4.85 inference(quant_inst,[status(thm)],[])).
% 6.88/4.85 tff(2795,plain,
% 6.88/4.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB11, constB12)) | (~(((~v129(constB12, bitIndex2)) <=> v127(constB11, bitIndex2)) | ((~v129(constB12, bitIndex1)) <=> v127(constB11, bitIndex1)) | ((~v129(constB12, bitIndex0)) <=> v127(constB11, bitIndex0))))),
% 6.88/4.85 inference(modus_ponens,[status(thm)],[2794, 2793])).
% 6.88/4.85 tff(2796,plain,
% 6.88/4.85 (~(((~v129(constB12, bitIndex2)) <=> v127(constB11, bitIndex2)) | ((~v129(constB12, bitIndex1)) <=> v127(constB11, bitIndex1)) | ((~v129(constB12, bitIndex0)) <=> v127(constB11, bitIndex0)))),
% 6.88/4.85 inference(unit_resolution,[status(thm)],[2795, 2792, 517])).
% 6.88/4.85 tff(2797,plain,
% 6.88/4.85 ((((~v129(constB12, bitIndex2)) <=> v127(constB11, bitIndex2)) | ((~v129(constB12, bitIndex1)) <=> v127(constB11, bitIndex1)) | ((~v129(constB12, bitIndex0)) <=> v127(constB11, bitIndex0))) | (~((~v129(constB12, bitIndex2)) <=> v127(constB11, bitIndex2)))),
% 6.88/4.85 inference(tautology,[status(thm)],[])).
% 6.88/4.85 tff(2798,plain,
% 6.88/4.85 (~((~v129(constB12, bitIndex2)) <=> v127(constB11, bitIndex2))),
% 6.88/4.85 inference(unit_resolution,[status(thm)],[2797, 2796])).
% 6.88/4.85 tff(2799,plain,
% 6.88/4.85 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB11) <=> v26(constB11))),
% 6.88/4.85 inference(quant_inst,[status(thm)],[])).
% 6.88/4.85 tff(2800,plain,
% 6.88/4.85 (v111(constB11) <=> v26(constB11)),
% 6.88/4.85 inference(unit_resolution,[status(thm)],[2799, 536])).
% 6.88/4.85 tff(2801,plain,
% 6.88/4.85 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB11))),
% 6.88/4.85 inference(quant_inst,[status(thm)],[])).
% 6.88/4.85 tff(2802,plain,
% 6.88/4.85 (~v26(constB11)),
% 6.88/4.85 inference(unit_resolution,[status(thm)],[2801, 548])).
% 6.88/4.85 tff(2803,plain,
% 6.88/4.85 ((~(v111(constB11) <=> v26(constB11))) | (~v111(constB11)) | v26(constB11)),
% 6.88/4.85 inference(tautology,[status(thm)],[])).
% 6.88/4.85 tff(2804,plain,
% 6.88/4.85 ((~(v111(constB11) <=> v26(constB11))) | (~v111(constB11))),
% 6.88/4.85 inference(unit_resolution,[status(thm)],[2803, 2802])).
% 6.88/4.85 tff(2805,plain,
% 6.88/4.85 (~v111(constB11)),
% 6.88/4.85 inference(unit_resolution,[status(thm)],[2804, 2800])).
% 6.88/4.85 tff(2806,plain,
% 6.88/4.85 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB11) | (~(((~v127(constB11, bitIndex2)) <=> v130(constB11, bitIndex2)) | ((~v127(constB11, bitIndex1)) <=> v130(constB11, bitIndex1)) | ((~v127(constB11, bitIndex0)) <=> v130(constB11, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB11) | (~(((~v127(constB11, bitIndex2)) <=> v130(constB11, bitIndex2)) | ((~v127(constB11, bitIndex1)) <=> v130(constB11, bitIndex1)) | ((~v127(constB11, bitIndex0)) <=> v130(constB11, bitIndex0)))))),
% 6.88/4.85 inference(rewrite,[status(thm)],[])).
% 6.88/4.85 tff(2807,plain,
% 6.88/4.85 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB11) | (~(((~v127(constB11, bitIndex2)) <=> v130(constB11, bitIndex2)) | ((~v127(constB11, bitIndex1)) <=> v130(constB11, bitIndex1)) | ((~v127(constB11, bitIndex0)) <=> v130(constB11, bitIndex0)))))),
% 6.88/4.85 inference(quant_inst,[status(thm)],[])).
% 6.88/4.85 tff(2808,plain,
% 6.88/4.85 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB11) | (~(((~v127(constB11, bitIndex2)) <=> v130(constB11, bitIndex2)) | ((~v127(constB11, bitIndex1)) <=> v130(constB11, bitIndex1)) | ((~v127(constB11, bitIndex0)) <=> v130(constB11, bitIndex0))))),
% 6.88/4.85 inference(modus_ponens,[status(thm)],[2807, 2806])).
% 6.88/4.85 tff(2809,plain,
% 6.88/4.85 (v111(constB11) | (~(((~v127(constB11, bitIndex2)) <=> v130(constB11, bitIndex2)) | ((~v127(constB11, bitIndex1)) <=> v130(constB11, bitIndex1)) | ((~v127(constB11, bitIndex0)) <=> v130(constB11, bitIndex0))))),
% 6.88/4.85 inference(unit_resolution,[status(thm)],[2808, 566])).
% 6.88/4.85 tff(2810,plain,
% 6.88/4.85 (~(((~v127(constB11, bitIndex2)) <=> v130(constB11, bitIndex2)) | ((~v127(constB11, bitIndex1)) <=> v130(constB11, bitIndex1)) | ((~v127(constB11, bitIndex0)) <=> v130(constB11, bitIndex0)))),
% 6.88/4.85 inference(unit_resolution,[status(thm)],[2809, 2805])).
% 6.88/4.85 tff(2811,plain,
% 6.88/4.85 ((((~v127(constB11, bitIndex2)) <=> v130(constB11, bitIndex2)) | ((~v127(constB11, bitIndex1)) <=> v130(constB11, bitIndex1)) | ((~v127(constB11, bitIndex0)) <=> v130(constB11, bitIndex0))) | (~((~v127(constB11, bitIndex2)) <=> v130(constB11, bitIndex2)))),
% 6.88/4.85 inference(tautology,[status(thm)],[])).
% 6.88/4.85 tff(2812,plain,
% 6.88/4.85 (~((~v127(constB11, bitIndex2)) <=> v130(constB11, bitIndex2))),
% 6.88/4.85 inference(unit_resolution,[status(thm)],[2811, 2810])).
% 6.88/4.85 tff(2813,plain,
% 6.88/4.85 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB11) <=> (~(v90(constB11, bitIndex2) | (~v90(constB11, bitIndex1)) | (~v90(constB11, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB11) <=> (~(v90(constB11, bitIndex2) | (~v90(constB11, bitIndex1)) | (~v90(constB11, bitIndex0))))))),
% 6.88/4.85 inference(rewrite,[status(thm)],[])).
% 6.88/4.85 tff(2814,plain,
% 6.88/4.85 ((v122(constB11) <=> (~(v90(constB11, bitIndex2) | (~v90(constB11, bitIndex0)) | (~v90(constB11, bitIndex1))))) <=> (v122(constB11) <=> (~(v90(constB11, bitIndex2) | (~v90(constB11, bitIndex1)) | (~v90(constB11, bitIndex0)))))),
% 6.88/4.85 inference(rewrite,[status(thm)],[])).
% 6.88/4.85 tff(2815,plain,
% 6.88/4.85 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB11) <=> (~(v90(constB11, bitIndex2) | (~v90(constB11, bitIndex0)) | (~v90(constB11, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB11) <=> (~(v90(constB11, bitIndex2) | (~v90(constB11, bitIndex1)) | (~v90(constB11, bitIndex0))))))),
% 6.88/4.85 inference(monotonicity,[status(thm)],[2814])).
% 6.88/4.85 tff(2816,plain,
% 6.88/4.85 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB11) <=> (~(v90(constB11, bitIndex2) | (~v90(constB11, bitIndex0)) | (~v90(constB11, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB11) <=> (~(v90(constB11, bitIndex2) | (~v90(constB11, bitIndex1)) | (~v90(constB11, bitIndex0))))))),
% 6.88/4.85 inference(transitivity,[status(thm)],[2815, 2813])).
% 6.88/4.85 tff(2817,plain,
% 6.88/4.85 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB11) <=> (~(v90(constB11, bitIndex2) | (~v90(constB11, bitIndex0)) | (~v90(constB11, bitIndex1)))))),
% 6.88/4.85 inference(quant_inst,[status(thm)],[])).
% 6.88/4.85 tff(2818,plain,
% 6.88/4.85 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB11) <=> (~(v90(constB11, bitIndex2) | (~v90(constB11, bitIndex1)) | (~v90(constB11, bitIndex0)))))),
% 6.88/4.85 inference(modus_ponens,[status(thm)],[2817, 2816])).
% 6.88/4.85 tff(2819,plain,
% 6.88/4.85 (v122(constB11) <=> (~(v90(constB11, bitIndex2) | (~v90(constB11, bitIndex1)) | (~v90(constB11, bitIndex0))))),
% 6.88/4.85 inference(unit_resolution,[status(thm)],[2818, 879])).
% 6.88/4.85 tff(2820,plain,
% 6.88/4.85 (nextState(constB10, constB11) <=> nextState(constB10, constB11)),
% 6.88/4.85 inference(rewrite,[status(thm)],[])).
% 6.88/4.85 tff(2821,axiom,(nextState(constB10, constB11)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_10')).
% 6.88/4.85 tff(2822,plain,
% 6.88/4.85 (nextState(constB10, constB11)),
% 6.88/4.85 inference(modus_ponens,[status(thm)],[2821, 2820])).
% 6.88/4.85 tff(2823,plain,
% 6.88/4.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB10, constB11)) | (v100(constB11) <=> (~((~v101(constB11)) | (~v110(constB11))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB10, constB11)) | (v100(constB11) <=> (~((~v101(constB11)) | (~v110(constB11))))))),
% 6.88/4.85 inference(rewrite,[status(thm)],[])).
% 6.88/4.85 tff(2824,plain,
% 6.88/4.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB10, constB11)) | (v100(constB11) <=> (~((~v101(constB11)) | (~v110(constB11))))))),
% 6.88/4.85 inference(quant_inst,[status(thm)],[])).
% 6.88/4.85 tff(2825,plain,
% 6.88/4.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB10, constB11)) | (v100(constB11) <=> (~((~v101(constB11)) | (~v110(constB11)))))),
% 6.88/4.85 inference(modus_ponens,[status(thm)],[2824, 2823])).
% 6.88/4.85 tff(2826,plain,
% 6.88/4.85 (v100(constB11) <=> (~((~v101(constB11)) | (~v110(constB11))))),
% 6.88/4.85 inference(unit_resolution,[status(thm)],[2825, 2822, 445])).
% 6.88/4.85 tff(2827,plain,
% 6.88/4.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB10, constB11)) | (v101(constB11) <=> (~((~v1(constB11)) | (~v102(constB11))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB10, constB11)) | (v101(constB11) <=> (~((~v1(constB11)) | (~v102(constB11))))))),
% 6.88/4.85 inference(rewrite,[status(thm)],[])).
% 6.88/4.85 tff(2828,plain,
% 6.88/4.85 (((~nextState(constB10, constB11)) | (v101(constB11) <=> (~((~v102(constB11)) | (~v1(constB11)))))) <=> ((~nextState(constB10, constB11)) | (v101(constB11) <=> (~((~v1(constB11)) | (~v102(constB11))))))),
% 6.88/4.85 inference(rewrite,[status(thm)],[])).
% 6.88/4.85 tff(2829,plain,
% 6.88/4.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB10, constB11)) | (v101(constB11) <=> (~((~v102(constB11)) | (~v1(constB11))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB10, constB11)) | (v101(constB11) <=> (~((~v1(constB11)) | (~v102(constB11)))))))),
% 6.88/4.85 inference(monotonicity,[status(thm)],[2828])).
% 6.88/4.85 tff(2830,plain,
% 6.88/4.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB10, constB11)) | (v101(constB11) <=> (~((~v102(constB11)) | (~v1(constB11))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB10, constB11)) | (v101(constB11) <=> (~((~v1(constB11)) | (~v102(constB11))))))),
% 6.88/4.85 inference(transitivity,[status(thm)],[2829, 2827])).
% 6.88/4.85 tff(2831,plain,
% 6.88/4.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB10, constB11)) | (v101(constB11) <=> (~((~v102(constB11)) | (~v1(constB11))))))),
% 6.88/4.85 inference(quant_inst,[status(thm)],[])).
% 6.88/4.85 tff(2832,plain,
% 6.88/4.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB10, constB11)) | (v101(constB11) <=> (~((~v1(constB11)) | (~v102(constB11)))))),
% 6.88/4.85 inference(modus_ponens,[status(thm)],[2831, 2830])).
% 6.88/4.85 tff(2833,plain,
% 6.88/4.85 (v101(constB11) <=> (~((~v1(constB11)) | (~v102(constB11))))),
% 6.88/4.85 inference(unit_resolution,[status(thm)],[2832, 2822, 465])).
% 6.88/4.85 tff(2834,plain,
% 6.88/4.85 ((~v1(constB11)) <=> (~v1(constB11))),
% 6.88/4.85 inference(rewrite,[status(thm)],[])).
% 6.88/4.85 tff(2835,axiom,(~v1(constB11)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_11')).
% 6.88/4.85 tff(2836,plain,
% 6.88/4.85 (~v1(constB11)),
% 6.88/4.85 inference(modus_ponens,[status(thm)],[2835, 2834])).
% 6.88/4.85 tff(2837,plain,
% 6.88/4.85 (((~v1(constB11)) | (~v102(constB11))) | v1(constB11)),
% 6.88/4.85 inference(tautology,[status(thm)],[])).
% 6.88/4.85 tff(2838,plain,
% 6.88/4.85 ((~v1(constB11)) | (~v102(constB11))),
% 6.88/4.85 inference(unit_resolution,[status(thm)],[2837, 2836])).
% 6.88/4.85 tff(2839,plain,
% 6.88/4.85 ((~(v101(constB11) <=> (~((~v1(constB11)) | (~v102(constB11)))))) | (~v101(constB11)) | (~((~v1(constB11)) | (~v102(constB11))))),
% 6.88/4.85 inference(tautology,[status(thm)],[])).
% 6.88/4.85 tff(2840,plain,
% 6.88/4.85 ((~(v101(constB11) <=> (~((~v1(constB11)) | (~v102(constB11)))))) | (~v101(constB11))),
% 6.88/4.85 inference(unit_resolution,[status(thm)],[2839, 2838])).
% 6.88/4.85 tff(2841,plain,
% 6.88/4.85 (~v101(constB11)),
% 6.88/4.85 inference(unit_resolution,[status(thm)],[2840, 2833])).
% 6.88/4.85 tff(2842,plain,
% 6.88/4.85 (((~v101(constB11)) | (~v110(constB11))) | v101(constB11)),
% 6.88/4.85 inference(tautology,[status(thm)],[])).
% 6.88/4.85 tff(2843,plain,
% 6.88/4.85 ((~v101(constB11)) | (~v110(constB11))),
% 6.88/4.85 inference(unit_resolution,[status(thm)],[2842, 2841])).
% 6.88/4.85 tff(2844,plain,
% 6.88/4.85 ((~(v100(constB11) <=> (~((~v101(constB11)) | (~v110(constB11)))))) | (~v100(constB11)) | (~((~v101(constB11)) | (~v110(constB11))))),
% 6.88/4.85 inference(tautology,[status(thm)],[])).
% 6.88/4.85 tff(2845,plain,
% 6.88/4.85 (~v100(constB11)),
% 6.88/4.85 inference(unit_resolution,[status(thm)],[2844, 2843, 2826])).
% 6.88/4.85 tff(2846,plain,
% 6.88/4.85 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB11) | (~nextState(constB10, constB11)) | (~(((~v90(constB11, bitIndex1)) <=> v90(constB10, bitIndex1)) | ((~v90(constB11, bitIndex2)) <=> v90(constB10, bitIndex2)) | ((~v90(constB11, bitIndex0)) <=> v90(constB10, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB11) | (~nextState(constB10, constB11)) | (~(((~v90(constB11, bitIndex1)) <=> v90(constB10, bitIndex1)) | ((~v90(constB11, bitIndex2)) <=> v90(constB10, bitIndex2)) | ((~v90(constB11, bitIndex0)) <=> v90(constB10, bitIndex0)))))),
% 6.88/4.85 inference(rewrite,[status(thm)],[])).
% 6.88/4.85 tff(2847,plain,
% 6.88/4.85 ((v100(constB11) | (~nextState(constB10, constB11)) | (~(((~v90(constB11, bitIndex2)) <=> v90(constB10, bitIndex2)) | ((~v90(constB11, bitIndex1)) <=> v90(constB10, bitIndex1)) | ((~v90(constB11, bitIndex0)) <=> v90(constB10, bitIndex0))))) <=> (v100(constB11) | (~nextState(constB10, constB11)) | (~(((~v90(constB11, bitIndex1)) <=> v90(constB10, bitIndex1)) | ((~v90(constB11, bitIndex2)) <=> v90(constB10, bitIndex2)) | ((~v90(constB11, bitIndex0)) <=> v90(constB10, bitIndex0)))))),
% 6.88/4.85 inference(rewrite,[status(thm)],[])).
% 6.88/4.85 tff(2848,plain,
% 6.88/4.85 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB11) | (~nextState(constB10, constB11)) | (~(((~v90(constB11, bitIndex2)) <=> v90(constB10, bitIndex2)) | ((~v90(constB11, bitIndex1)) <=> v90(constB10, bitIndex1)) | ((~v90(constB11, bitIndex0)) <=> v90(constB10, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB11) | (~nextState(constB10, constB11)) | (~(((~v90(constB11, bitIndex1)) <=> v90(constB10, bitIndex1)) | ((~v90(constB11, bitIndex2)) <=> v90(constB10, bitIndex2)) | ((~v90(constB11, bitIndex0)) <=> v90(constB10, bitIndex0))))))),
% 6.88/4.85 inference(monotonicity,[status(thm)],[2847])).
% 6.88/4.85 tff(2849,plain,
% 6.88/4.85 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB11) | (~nextState(constB10, constB11)) | (~(((~v90(constB11, bitIndex2)) <=> v90(constB10, bitIndex2)) | ((~v90(constB11, bitIndex1)) <=> v90(constB10, bitIndex1)) | ((~v90(constB11, bitIndex0)) <=> v90(constB10, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB11) | (~nextState(constB10, constB11)) | (~(((~v90(constB11, bitIndex1)) <=> v90(constB10, bitIndex1)) | ((~v90(constB11, bitIndex2)) <=> v90(constB10, bitIndex2)) | ((~v90(constB11, bitIndex0)) <=> v90(constB10, bitIndex0)))))),
% 6.88/4.85 inference(transitivity,[status(thm)],[2848, 2846])).
% 6.88/4.85 tff(2850,plain,
% 6.88/4.85 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB11) | (~nextState(constB10, constB11)) | (~(((~v90(constB11, bitIndex2)) <=> v90(constB10, bitIndex2)) | ((~v90(constB11, bitIndex1)) <=> v90(constB10, bitIndex1)) | ((~v90(constB11, bitIndex0)) <=> v90(constB10, bitIndex0)))))),
% 6.88/4.85 inference(quant_inst,[status(thm)],[])).
% 6.88/4.85 tff(2851,plain,
% 6.88/4.85 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB11) | (~nextState(constB10, constB11)) | (~(((~v90(constB11, bitIndex1)) <=> v90(constB10, bitIndex1)) | ((~v90(constB11, bitIndex2)) <=> v90(constB10, bitIndex2)) | ((~v90(constB11, bitIndex0)) <=> v90(constB10, bitIndex0))))),
% 6.88/4.85 inference(modus_ponens,[status(thm)],[2850, 2849])).
% 6.88/4.85 tff(2852,plain,
% 6.88/4.85 (v100(constB11) | (~(((~v90(constB11, bitIndex1)) <=> v90(constB10, bitIndex1)) | ((~v90(constB11, bitIndex2)) <=> v90(constB10, bitIndex2)) | ((~v90(constB11, bitIndex0)) <=> v90(constB10, bitIndex0))))),
% 6.88/4.85 inference(unit_resolution,[status(thm)],[2851, 2822, 494])).
% 6.88/4.85 tff(2853,plain,
% 6.88/4.85 (~(((~v90(constB11, bitIndex1)) <=> v90(constB10, bitIndex1)) | ((~v90(constB11, bitIndex2)) <=> v90(constB10, bitIndex2)) | ((~v90(constB11, bitIndex0)) <=> v90(constB10, bitIndex0)))),
% 6.88/4.85 inference(unit_resolution,[status(thm)],[2852, 2845])).
% 6.88/4.85 tff(2854,plain,
% 6.88/4.85 ((((~v90(constB11, bitIndex1)) <=> v90(constB10, bitIndex1)) | ((~v90(constB11, bitIndex2)) <=> v90(constB10, bitIndex2)) | ((~v90(constB11, bitIndex0)) <=> v90(constB10, bitIndex0))) | (~((~v90(constB11, bitIndex2)) <=> v90(constB10, bitIndex2)))),
% 6.88/4.85 inference(tautology,[status(thm)],[])).
% 6.88/4.85 tff(2855,plain,
% 6.88/4.85 (~((~v90(constB11, bitIndex2)) <=> v90(constB10, bitIndex2))),
% 6.88/4.85 inference(unit_resolution,[status(thm)],[2854, 2853])).
% 6.88/4.85 tff(2856,plain,
% 6.88/4.85 (nextState(constB9, constB10) <=> nextState(constB9, constB10)),
% 6.88/4.85 inference(rewrite,[status(thm)],[])).
% 6.88/4.85 tff(2857,axiom,(nextState(constB9, constB10)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_9')).
% 6.88/4.85 tff(2858,plain,
% 6.88/4.85 (nextState(constB9, constB10)),
% 6.88/4.85 inference(modus_ponens,[status(thm)],[2857, 2856])).
% 6.88/4.85 tff(2859,plain,
% 6.88/4.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB9, constB10)) | (~(((~v129(constB10, bitIndex2)) <=> v127(constB9, bitIndex2)) | ((~v129(constB10, bitIndex1)) <=> v127(constB9, bitIndex1)) | ((~v129(constB10, bitIndex0)) <=> v127(constB9, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB9, constB10)) | (~(((~v129(constB10, bitIndex2)) <=> v127(constB9, bitIndex2)) | ((~v129(constB10, bitIndex1)) <=> v127(constB9, bitIndex1)) | ((~v129(constB10, bitIndex0)) <=> v127(constB9, bitIndex0)))))),
% 6.88/4.85 inference(rewrite,[status(thm)],[])).
% 6.88/4.85 tff(2860,plain,
% 6.88/4.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB9, constB10)) | (~(((~v129(constB10, bitIndex2)) <=> v127(constB9, bitIndex2)) | ((~v129(constB10, bitIndex1)) <=> v127(constB9, bitIndex1)) | ((~v129(constB10, bitIndex0)) <=> v127(constB9, bitIndex0)))))),
% 6.88/4.85 inference(quant_inst,[status(thm)],[])).
% 6.88/4.85 tff(2861,plain,
% 6.88/4.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB9, constB10)) | (~(((~v129(constB10, bitIndex2)) <=> v127(constB9, bitIndex2)) | ((~v129(constB10, bitIndex1)) <=> v127(constB9, bitIndex1)) | ((~v129(constB10, bitIndex0)) <=> v127(constB9, bitIndex0))))),
% 6.88/4.86 inference(modus_ponens,[status(thm)],[2860, 2859])).
% 6.88/4.86 tff(2862,plain,
% 6.88/4.86 (~(((~v129(constB10, bitIndex2)) <=> v127(constB9, bitIndex2)) | ((~v129(constB10, bitIndex1)) <=> v127(constB9, bitIndex1)) | ((~v129(constB10, bitIndex0)) <=> v127(constB9, bitIndex0)))),
% 6.88/4.86 inference(unit_resolution,[status(thm)],[2861, 2858, 517])).
% 6.88/4.86 tff(2863,plain,
% 6.88/4.86 ((((~v129(constB10, bitIndex2)) <=> v127(constB9, bitIndex2)) | ((~v129(constB10, bitIndex1)) <=> v127(constB9, bitIndex1)) | ((~v129(constB10, bitIndex0)) <=> v127(constB9, bitIndex0))) | (~((~v129(constB10, bitIndex2)) <=> v127(constB9, bitIndex2)))),
% 6.88/4.86 inference(tautology,[status(thm)],[])).
% 6.88/4.86 tff(2864,plain,
% 6.88/4.86 (~((~v129(constB10, bitIndex2)) <=> v127(constB9, bitIndex2))),
% 6.88/4.86 inference(unit_resolution,[status(thm)],[2863, 2862])).
% 6.88/4.86 tff(2865,plain,
% 6.88/4.86 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB9) <=> v26(constB9))),
% 6.88/4.86 inference(quant_inst,[status(thm)],[])).
% 6.88/4.86 tff(2866,plain,
% 6.88/4.86 (v111(constB9) <=> v26(constB9)),
% 6.88/4.86 inference(unit_resolution,[status(thm)],[2865, 536])).
% 6.88/4.86 tff(2867,plain,
% 6.88/4.86 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB9))),
% 6.88/4.86 inference(quant_inst,[status(thm)],[])).
% 6.88/4.86 tff(2868,plain,
% 6.88/4.86 (~v26(constB9)),
% 6.88/4.86 inference(unit_resolution,[status(thm)],[2867, 548])).
% 6.88/4.86 tff(2869,plain,
% 6.88/4.86 ((~(v111(constB9) <=> v26(constB9))) | (~v111(constB9)) | v26(constB9)),
% 6.88/4.86 inference(tautology,[status(thm)],[])).
% 6.88/4.86 tff(2870,plain,
% 6.88/4.86 ((~(v111(constB9) <=> v26(constB9))) | (~v111(constB9))),
% 6.88/4.86 inference(unit_resolution,[status(thm)],[2869, 2868])).
% 6.88/4.86 tff(2871,plain,
% 6.88/4.86 (~v111(constB9)),
% 6.88/4.86 inference(unit_resolution,[status(thm)],[2870, 2866])).
% 6.88/4.86 tff(2872,plain,
% 6.88/4.86 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB9) | (~(((~v127(constB9, bitIndex2)) <=> v130(constB9, bitIndex2)) | ((~v127(constB9, bitIndex1)) <=> v130(constB9, bitIndex1)) | ((~v127(constB9, bitIndex0)) <=> v130(constB9, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB9) | (~(((~v127(constB9, bitIndex2)) <=> v130(constB9, bitIndex2)) | ((~v127(constB9, bitIndex1)) <=> v130(constB9, bitIndex1)) | ((~v127(constB9, bitIndex0)) <=> v130(constB9, bitIndex0)))))),
% 6.88/4.86 inference(rewrite,[status(thm)],[])).
% 6.88/4.86 tff(2873,plain,
% 6.88/4.86 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB9) | (~(((~v127(constB9, bitIndex2)) <=> v130(constB9, bitIndex2)) | ((~v127(constB9, bitIndex1)) <=> v130(constB9, bitIndex1)) | ((~v127(constB9, bitIndex0)) <=> v130(constB9, bitIndex0)))))),
% 6.88/4.86 inference(quant_inst,[status(thm)],[])).
% 6.88/4.86 tff(2874,plain,
% 6.88/4.86 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB9) | (~(((~v127(constB9, bitIndex2)) <=> v130(constB9, bitIndex2)) | ((~v127(constB9, bitIndex1)) <=> v130(constB9, bitIndex1)) | ((~v127(constB9, bitIndex0)) <=> v130(constB9, bitIndex0))))),
% 6.88/4.86 inference(modus_ponens,[status(thm)],[2873, 2872])).
% 6.88/4.86 tff(2875,plain,
% 6.88/4.86 (v111(constB9) | (~(((~v127(constB9, bitIndex2)) <=> v130(constB9, bitIndex2)) | ((~v127(constB9, bitIndex1)) <=> v130(constB9, bitIndex1)) | ((~v127(constB9, bitIndex0)) <=> v130(constB9, bitIndex0))))),
% 6.88/4.86 inference(unit_resolution,[status(thm)],[2874, 566])).
% 6.88/4.86 tff(2876,plain,
% 6.88/4.86 (~(((~v127(constB9, bitIndex2)) <=> v130(constB9, bitIndex2)) | ((~v127(constB9, bitIndex1)) <=> v130(constB9, bitIndex1)) | ((~v127(constB9, bitIndex0)) <=> v130(constB9, bitIndex0)))),
% 6.88/4.86 inference(unit_resolution,[status(thm)],[2875, 2871])).
% 6.88/4.86 tff(2877,plain,
% 6.88/4.86 ((((~v127(constB9, bitIndex2)) <=> v130(constB9, bitIndex2)) | ((~v127(constB9, bitIndex1)) <=> v130(constB9, bitIndex1)) | ((~v127(constB9, bitIndex0)) <=> v130(constB9, bitIndex0))) | (~((~v127(constB9, bitIndex2)) <=> v130(constB9, bitIndex2)))),
% 6.88/4.86 inference(tautology,[status(thm)],[])).
% 6.88/4.86 tff(2878,plain,
% 6.88/4.86 (~((~v127(constB9, bitIndex2)) <=> v130(constB9, bitIndex2))),
% 6.88/4.86 inference(unit_resolution,[status(thm)],[2877, 2876])).
% 6.88/4.86 tff(2879,plain,
% 6.88/4.86 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB9) <=> (~(v90(constB9, bitIndex2) | v90(constB9, bitIndex0) | (~v90(constB9, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB9) <=> (~(v90(constB9, bitIndex2) | v90(constB9, bitIndex0) | (~v90(constB9, bitIndex1))))))),
% 6.88/4.86 inference(rewrite,[status(thm)],[])).
% 6.88/4.86 tff(2880,plain,
% 6.88/4.86 ((v121(constB9) <=> (~(v90(constB9, bitIndex0) | v90(constB9, bitIndex2) | (~v90(constB9, bitIndex1))))) <=> (v121(constB9) <=> (~(v90(constB9, bitIndex2) | v90(constB9, bitIndex0) | (~v90(constB9, bitIndex1)))))),
% 6.88/4.86 inference(rewrite,[status(thm)],[])).
% 6.88/4.86 tff(2881,plain,
% 6.88/4.86 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB9) <=> (~(v90(constB9, bitIndex0) | v90(constB9, bitIndex2) | (~v90(constB9, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB9) <=> (~(v90(constB9, bitIndex2) | v90(constB9, bitIndex0) | (~v90(constB9, bitIndex1))))))),
% 6.88/4.86 inference(monotonicity,[status(thm)],[2880])).
% 6.88/4.86 tff(2882,plain,
% 6.88/4.86 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB9) <=> (~(v90(constB9, bitIndex0) | v90(constB9, bitIndex2) | (~v90(constB9, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB9) <=> (~(v90(constB9, bitIndex2) | v90(constB9, bitIndex0) | (~v90(constB9, bitIndex1))))))),
% 6.88/4.86 inference(transitivity,[status(thm)],[2881, 2879])).
% 6.88/4.86 tff(2883,plain,
% 6.88/4.86 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB9) <=> (~(v90(constB9, bitIndex0) | v90(constB9, bitIndex2) | (~v90(constB9, bitIndex1)))))),
% 6.88/4.86 inference(quant_inst,[status(thm)],[])).
% 6.88/4.86 tff(2884,plain,
% 6.88/4.86 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB9) <=> (~(v90(constB9, bitIndex2) | v90(constB9, bitIndex0) | (~v90(constB9, bitIndex1)))))),
% 6.88/4.86 inference(modus_ponens,[status(thm)],[2883, 2882])).
% 6.88/4.86 tff(2885,plain,
% 6.88/4.86 (v121(constB9) <=> (~(v90(constB9, bitIndex2) | v90(constB9, bitIndex0) | (~v90(constB9, bitIndex1))))),
% 6.88/4.86 inference(unit_resolution,[status(thm)],[2884, 586])).
% 6.88/4.86 tff(2886,plain,
% 6.88/4.86 (nextState(constB8, constB9) <=> nextState(constB8, constB9)),
% 6.88/4.86 inference(rewrite,[status(thm)],[])).
% 6.88/4.86 tff(2887,axiom,(nextState(constB8, constB9)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_8')).
% 6.88/4.86 tff(2888,plain,
% 6.88/4.86 (nextState(constB8, constB9)),
% 6.88/4.86 inference(modus_ponens,[status(thm)],[2887, 2886])).
% 6.88/4.86 tff(2889,plain,
% 6.88/4.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB8, constB9)) | (v100(constB9) <=> (~((~v101(constB9)) | (~v110(constB9))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB8, constB9)) | (v100(constB9) <=> (~((~v101(constB9)) | (~v110(constB9))))))),
% 6.88/4.86 inference(rewrite,[status(thm)],[])).
% 6.88/4.86 tff(2890,plain,
% 6.88/4.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB8, constB9)) | (v100(constB9) <=> (~((~v101(constB9)) | (~v110(constB9))))))),
% 6.88/4.86 inference(quant_inst,[status(thm)],[])).
% 6.88/4.86 tff(2891,plain,
% 6.88/4.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB8, constB9)) | (v100(constB9) <=> (~((~v101(constB9)) | (~v110(constB9)))))),
% 6.88/4.86 inference(modus_ponens,[status(thm)],[2890, 2889])).
% 6.88/4.86 tff(2892,plain,
% 6.88/4.86 (v100(constB9) <=> (~((~v101(constB9)) | (~v110(constB9))))),
% 6.88/4.86 inference(unit_resolution,[status(thm)],[2891, 2888, 445])).
% 6.88/4.86 tff(2893,plain,
% 6.88/4.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB8, constB9)) | (v101(constB9) <=> (~((~v1(constB9)) | (~v102(constB9))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB8, constB9)) | (v101(constB9) <=> (~((~v1(constB9)) | (~v102(constB9))))))),
% 6.88/4.86 inference(rewrite,[status(thm)],[])).
% 6.88/4.86 tff(2894,plain,
% 6.88/4.86 (((~nextState(constB8, constB9)) | (v101(constB9) <=> (~((~v102(constB9)) | (~v1(constB9)))))) <=> ((~nextState(constB8, constB9)) | (v101(constB9) <=> (~((~v1(constB9)) | (~v102(constB9))))))),
% 6.88/4.86 inference(rewrite,[status(thm)],[])).
% 6.88/4.86 tff(2895,plain,
% 6.88/4.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB8, constB9)) | (v101(constB9) <=> (~((~v102(constB9)) | (~v1(constB9))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB8, constB9)) | (v101(constB9) <=> (~((~v1(constB9)) | (~v102(constB9)))))))),
% 6.88/4.86 inference(monotonicity,[status(thm)],[2894])).
% 6.88/4.86 tff(2896,plain,
% 6.88/4.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB8, constB9)) | (v101(constB9) <=> (~((~v102(constB9)) | (~v1(constB9))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB8, constB9)) | (v101(constB9) <=> (~((~v1(constB9)) | (~v102(constB9))))))),
% 6.88/4.86 inference(transitivity,[status(thm)],[2895, 2893])).
% 6.88/4.86 tff(2897,plain,
% 6.88/4.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB8, constB9)) | (v101(constB9) <=> (~((~v102(constB9)) | (~v1(constB9))))))),
% 6.88/4.86 inference(quant_inst,[status(thm)],[])).
% 6.88/4.86 tff(2898,plain,
% 6.88/4.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB8, constB9)) | (v101(constB9) <=> (~((~v1(constB9)) | (~v102(constB9)))))),
% 6.88/4.86 inference(modus_ponens,[status(thm)],[2897, 2896])).
% 6.88/4.86 tff(2899,plain,
% 6.88/4.86 (v101(constB9) <=> (~((~v1(constB9)) | (~v102(constB9))))),
% 6.88/4.86 inference(unit_resolution,[status(thm)],[2898, 2888, 465])).
% 6.88/4.86 tff(2900,plain,
% 6.88/4.86 ((~v1(constB9)) <=> (~v1(constB9))),
% 6.88/4.86 inference(rewrite,[status(thm)],[])).
% 6.88/4.86 tff(2901,axiom,(~v1(constB9)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_9')).
% 6.88/4.86 tff(2902,plain,
% 6.88/4.86 (~v1(constB9)),
% 6.88/4.86 inference(modus_ponens,[status(thm)],[2901, 2900])).
% 6.88/4.86 tff(2903,plain,
% 6.88/4.86 (((~v1(constB9)) | (~v102(constB9))) | v1(constB9)),
% 6.88/4.86 inference(tautology,[status(thm)],[])).
% 6.88/4.86 tff(2904,plain,
% 6.88/4.86 ((~v1(constB9)) | (~v102(constB9))),
% 6.88/4.86 inference(unit_resolution,[status(thm)],[2903, 2902])).
% 6.88/4.86 tff(2905,plain,
% 6.88/4.86 ((~(v101(constB9) <=> (~((~v1(constB9)) | (~v102(constB9)))))) | (~v101(constB9)) | (~((~v1(constB9)) | (~v102(constB9))))),
% 6.88/4.86 inference(tautology,[status(thm)],[])).
% 6.88/4.86 tff(2906,plain,
% 6.88/4.86 ((~(v101(constB9) <=> (~((~v1(constB9)) | (~v102(constB9)))))) | (~v101(constB9))),
% 6.88/4.86 inference(unit_resolution,[status(thm)],[2905, 2904])).
% 6.88/4.86 tff(2907,plain,
% 6.88/4.86 (~v101(constB9)),
% 6.88/4.86 inference(unit_resolution,[status(thm)],[2906, 2899])).
% 6.88/4.86 tff(2908,plain,
% 6.88/4.86 (((~v101(constB9)) | (~v110(constB9))) | v101(constB9)),
% 6.88/4.86 inference(tautology,[status(thm)],[])).
% 6.88/4.86 tff(2909,plain,
% 6.88/4.86 ((~v101(constB9)) | (~v110(constB9))),
% 6.88/4.86 inference(unit_resolution,[status(thm)],[2908, 2907])).
% 6.88/4.86 tff(2910,plain,
% 6.88/4.86 ((~(v100(constB9) <=> (~((~v101(constB9)) | (~v110(constB9)))))) | (~v100(constB9)) | (~((~v101(constB9)) | (~v110(constB9))))),
% 6.88/4.86 inference(tautology,[status(thm)],[])).
% 6.88/4.86 tff(2911,plain,
% 6.88/4.86 (~v100(constB9)),
% 6.88/4.86 inference(unit_resolution,[status(thm)],[2910, 2909, 2892])).
% 6.88/4.86 tff(2912,plain,
% 6.88/4.86 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB9) | (~nextState(constB8, constB9)) | (~(((~v90(constB9, bitIndex1)) <=> v90(constB8, bitIndex1)) | ((~v90(constB9, bitIndex2)) <=> v90(constB8, bitIndex2)) | ((~v90(constB9, bitIndex0)) <=> v90(constB8, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB9) | (~nextState(constB8, constB9)) | (~(((~v90(constB9, bitIndex1)) <=> v90(constB8, bitIndex1)) | ((~v90(constB9, bitIndex2)) <=> v90(constB8, bitIndex2)) | ((~v90(constB9, bitIndex0)) <=> v90(constB8, bitIndex0)))))),
% 6.88/4.86 inference(rewrite,[status(thm)],[])).
% 6.88/4.86 tff(2913,plain,
% 6.88/4.86 ((v100(constB9) | (~nextState(constB8, constB9)) | (~(((~v90(constB9, bitIndex2)) <=> v90(constB8, bitIndex2)) | ((~v90(constB9, bitIndex1)) <=> v90(constB8, bitIndex1)) | ((~v90(constB9, bitIndex0)) <=> v90(constB8, bitIndex0))))) <=> (v100(constB9) | (~nextState(constB8, constB9)) | (~(((~v90(constB9, bitIndex1)) <=> v90(constB8, bitIndex1)) | ((~v90(constB9, bitIndex2)) <=> v90(constB8, bitIndex2)) | ((~v90(constB9, bitIndex0)) <=> v90(constB8, bitIndex0)))))),
% 6.88/4.86 inference(rewrite,[status(thm)],[])).
% 6.88/4.86 tff(2914,plain,
% 6.88/4.86 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB9) | (~nextState(constB8, constB9)) | (~(((~v90(constB9, bitIndex2)) <=> v90(constB8, bitIndex2)) | ((~v90(constB9, bitIndex1)) <=> v90(constB8, bitIndex1)) | ((~v90(constB9, bitIndex0)) <=> v90(constB8, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB9) | (~nextState(constB8, constB9)) | (~(((~v90(constB9, bitIndex1)) <=> v90(constB8, bitIndex1)) | ((~v90(constB9, bitIndex2)) <=> v90(constB8, bitIndex2)) | ((~v90(constB9, bitIndex0)) <=> v90(constB8, bitIndex0))))))),
% 6.88/4.86 inference(monotonicity,[status(thm)],[2913])).
% 6.88/4.86 tff(2915,plain,
% 6.88/4.86 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB9) | (~nextState(constB8, constB9)) | (~(((~v90(constB9, bitIndex2)) <=> v90(constB8, bitIndex2)) | ((~v90(constB9, bitIndex1)) <=> v90(constB8, bitIndex1)) | ((~v90(constB9, bitIndex0)) <=> v90(constB8, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB9) | (~nextState(constB8, constB9)) | (~(((~v90(constB9, bitIndex1)) <=> v90(constB8, bitIndex1)) | ((~v90(constB9, bitIndex2)) <=> v90(constB8, bitIndex2)) | ((~v90(constB9, bitIndex0)) <=> v90(constB8, bitIndex0)))))),
% 6.88/4.86 inference(transitivity,[status(thm)],[2914, 2912])).
% 6.88/4.86 tff(2916,plain,
% 6.88/4.86 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB9) | (~nextState(constB8, constB9)) | (~(((~v90(constB9, bitIndex2)) <=> v90(constB8, bitIndex2)) | ((~v90(constB9, bitIndex1)) <=> v90(constB8, bitIndex1)) | ((~v90(constB9, bitIndex0)) <=> v90(constB8, bitIndex0)))))),
% 6.88/4.86 inference(quant_inst,[status(thm)],[])).
% 6.88/4.86 tff(2917,plain,
% 6.88/4.86 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB9) | (~nextState(constB8, constB9)) | (~(((~v90(constB9, bitIndex1)) <=> v90(constB8, bitIndex1)) | ((~v90(constB9, bitIndex2)) <=> v90(constB8, bitIndex2)) | ((~v90(constB9, bitIndex0)) <=> v90(constB8, bitIndex0))))),
% 6.88/4.86 inference(modus_ponens,[status(thm)],[2916, 2915])).
% 6.88/4.86 tff(2918,plain,
% 6.88/4.86 (v100(constB9) | (~(((~v90(constB9, bitIndex1)) <=> v90(constB8, bitIndex1)) | ((~v90(constB9, bitIndex2)) <=> v90(constB8, bitIndex2)) | ((~v90(constB9, bitIndex0)) <=> v90(constB8, bitIndex0))))),
% 6.88/4.86 inference(unit_resolution,[status(thm)],[2917, 2888, 494])).
% 6.88/4.86 tff(2919,plain,
% 6.88/4.86 (~(((~v90(constB9, bitIndex1)) <=> v90(constB8, bitIndex1)) | ((~v90(constB9, bitIndex2)) <=> v90(constB8, bitIndex2)) | ((~v90(constB9, bitIndex0)) <=> v90(constB8, bitIndex0)))),
% 6.88/4.86 inference(unit_resolution,[status(thm)],[2918, 2911])).
% 6.88/4.86 tff(2920,plain,
% 6.88/4.86 ((((~v90(constB9, bitIndex1)) <=> v90(constB8, bitIndex1)) | ((~v90(constB9, bitIndex2)) <=> v90(constB8, bitIndex2)) | ((~v90(constB9, bitIndex0)) <=> v90(constB8, bitIndex0))) | (~((~v90(constB9, bitIndex2)) <=> v90(constB8, bitIndex2)))),
% 6.88/4.86 inference(tautology,[status(thm)],[])).
% 6.88/4.86 tff(2921,plain,
% 6.88/4.86 (~((~v90(constB9, bitIndex2)) <=> v90(constB8, bitIndex2))),
% 6.88/4.86 inference(unit_resolution,[status(thm)],[2920, 2919])).
% 6.88/4.86 tff(2922,plain,
% 6.88/4.86 (nextState(constB7, constB8) <=> nextState(constB7, constB8)),
% 6.88/4.86 inference(rewrite,[status(thm)],[])).
% 6.88/4.86 tff(2923,axiom,(nextState(constB7, constB8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_7')).
% 6.88/4.86 tff(2924,plain,
% 6.88/4.86 (nextState(constB7, constB8)),
% 6.88/4.86 inference(modus_ponens,[status(thm)],[2923, 2922])).
% 6.88/4.86 tff(2925,plain,
% 6.88/4.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB7, constB8)) | (~(((~v129(constB8, bitIndex2)) <=> v127(constB7, bitIndex2)) | ((~v129(constB8, bitIndex1)) <=> v127(constB7, bitIndex1)) | ((~v129(constB8, bitIndex0)) <=> v127(constB7, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB7, constB8)) | (~(((~v129(constB8, bitIndex2)) <=> v127(constB7, bitIndex2)) | ((~v129(constB8, bitIndex1)) <=> v127(constB7, bitIndex1)) | ((~v129(constB8, bitIndex0)) <=> v127(constB7, bitIndex0)))))),
% 6.88/4.86 inference(rewrite,[status(thm)],[])).
% 6.88/4.86 tff(2926,plain,
% 6.88/4.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB7, constB8)) | (~(((~v129(constB8, bitIndex2)) <=> v127(constB7, bitIndex2)) | ((~v129(constB8, bitIndex1)) <=> v127(constB7, bitIndex1)) | ((~v129(constB8, bitIndex0)) <=> v127(constB7, bitIndex0)))))),
% 6.95/4.86 inference(quant_inst,[status(thm)],[])).
% 6.95/4.86 tff(2927,plain,
% 6.95/4.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB7, constB8)) | (~(((~v129(constB8, bitIndex2)) <=> v127(constB7, bitIndex2)) | ((~v129(constB8, bitIndex1)) <=> v127(constB7, bitIndex1)) | ((~v129(constB8, bitIndex0)) <=> v127(constB7, bitIndex0))))),
% 6.95/4.86 inference(modus_ponens,[status(thm)],[2926, 2925])).
% 6.95/4.86 tff(2928,plain,
% 6.95/4.86 (~(((~v129(constB8, bitIndex2)) <=> v127(constB7, bitIndex2)) | ((~v129(constB8, bitIndex1)) <=> v127(constB7, bitIndex1)) | ((~v129(constB8, bitIndex0)) <=> v127(constB7, bitIndex0)))),
% 6.95/4.86 inference(unit_resolution,[status(thm)],[2927, 2924, 517])).
% 6.95/4.86 tff(2929,plain,
% 6.95/4.86 ((((~v129(constB8, bitIndex2)) <=> v127(constB7, bitIndex2)) | ((~v129(constB8, bitIndex1)) <=> v127(constB7, bitIndex1)) | ((~v129(constB8, bitIndex0)) <=> v127(constB7, bitIndex0))) | (~((~v129(constB8, bitIndex2)) <=> v127(constB7, bitIndex2)))),
% 6.95/4.86 inference(tautology,[status(thm)],[])).
% 6.95/4.86 tff(2930,plain,
% 6.95/4.86 (~((~v129(constB8, bitIndex2)) <=> v127(constB7, bitIndex2))),
% 6.95/4.86 inference(unit_resolution,[status(thm)],[2929, 2928])).
% 6.95/4.86 tff(2931,plain,
% 6.95/4.86 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB7) <=> v26(constB7))),
% 6.95/4.86 inference(quant_inst,[status(thm)],[])).
% 6.95/4.86 tff(2932,plain,
% 6.95/4.86 (v111(constB7) <=> v26(constB7)),
% 6.95/4.86 inference(unit_resolution,[status(thm)],[2931, 536])).
% 6.95/4.86 tff(2933,plain,
% 6.95/4.86 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB7))),
% 6.95/4.86 inference(quant_inst,[status(thm)],[])).
% 6.95/4.86 tff(2934,plain,
% 6.95/4.86 (~v26(constB7)),
% 6.95/4.86 inference(unit_resolution,[status(thm)],[2933, 548])).
% 6.95/4.86 tff(2935,plain,
% 6.95/4.86 ((~(v111(constB7) <=> v26(constB7))) | (~v111(constB7)) | v26(constB7)),
% 6.95/4.86 inference(tautology,[status(thm)],[])).
% 6.95/4.86 tff(2936,plain,
% 6.95/4.86 ((~(v111(constB7) <=> v26(constB7))) | (~v111(constB7))),
% 6.95/4.86 inference(unit_resolution,[status(thm)],[2935, 2934])).
% 6.95/4.86 tff(2937,plain,
% 6.95/4.86 (~v111(constB7)),
% 6.95/4.86 inference(unit_resolution,[status(thm)],[2936, 2932])).
% 6.95/4.86 tff(2938,plain,
% 6.95/4.86 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB7) | (~(((~v127(constB7, bitIndex2)) <=> v130(constB7, bitIndex2)) | ((~v127(constB7, bitIndex1)) <=> v130(constB7, bitIndex1)) | ((~v127(constB7, bitIndex0)) <=> v130(constB7, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB7) | (~(((~v127(constB7, bitIndex2)) <=> v130(constB7, bitIndex2)) | ((~v127(constB7, bitIndex1)) <=> v130(constB7, bitIndex1)) | ((~v127(constB7, bitIndex0)) <=> v130(constB7, bitIndex0)))))),
% 6.95/4.86 inference(rewrite,[status(thm)],[])).
% 6.95/4.86 tff(2939,plain,
% 6.95/4.86 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB7) | (~(((~v127(constB7, bitIndex2)) <=> v130(constB7, bitIndex2)) | ((~v127(constB7, bitIndex1)) <=> v130(constB7, bitIndex1)) | ((~v127(constB7, bitIndex0)) <=> v130(constB7, bitIndex0)))))),
% 6.95/4.86 inference(quant_inst,[status(thm)],[])).
% 6.95/4.86 tff(2940,plain,
% 6.95/4.86 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB7) | (~(((~v127(constB7, bitIndex2)) <=> v130(constB7, bitIndex2)) | ((~v127(constB7, bitIndex1)) <=> v130(constB7, bitIndex1)) | ((~v127(constB7, bitIndex0)) <=> v130(constB7, bitIndex0))))),
% 6.95/4.86 inference(modus_ponens,[status(thm)],[2939, 2938])).
% 6.95/4.86 tff(2941,plain,
% 6.95/4.86 (v111(constB7) | (~(((~v127(constB7, bitIndex2)) <=> v130(constB7, bitIndex2)) | ((~v127(constB7, bitIndex1)) <=> v130(constB7, bitIndex1)) | ((~v127(constB7, bitIndex0)) <=> v130(constB7, bitIndex0))))),
% 6.95/4.86 inference(unit_resolution,[status(thm)],[2940, 566])).
% 6.95/4.86 tff(2942,plain,
% 6.95/4.86 (~(((~v127(constB7, bitIndex2)) <=> v130(constB7, bitIndex2)) | ((~v127(constB7, bitIndex1)) <=> v130(constB7, bitIndex1)) | ((~v127(constB7, bitIndex0)) <=> v130(constB7, bitIndex0)))),
% 6.95/4.86 inference(unit_resolution,[status(thm)],[2941, 2937])).
% 6.95/4.86 tff(2943,plain,
% 6.95/4.86 ((((~v127(constB7, bitIndex2)) <=> v130(constB7, bitIndex2)) | ((~v127(constB7, bitIndex1)) <=> v130(constB7, bitIndex1)) | ((~v127(constB7, bitIndex0)) <=> v130(constB7, bitIndex0))) | (~((~v127(constB7, bitIndex2)) <=> v130(constB7, bitIndex2)))),
% 6.95/4.86 inference(tautology,[status(thm)],[])).
% 6.95/4.86 tff(2944,plain,
% 6.95/4.86 (~((~v127(constB7, bitIndex2)) <=> v130(constB7, bitIndex2))),
% 6.95/4.86 inference(unit_resolution,[status(thm)],[2943, 2942])).
% 6.95/4.86 tff(2945,plain,
% 6.95/4.86 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB7) <=> (~(v90(constB7, bitIndex1) | v90(constB7, bitIndex2) | (~v90(constB7, bitIndex0)))))),
% 6.95/4.86 inference(quant_inst,[status(thm)],[])).
% 6.95/4.86 tff(2946,plain,
% 6.95/4.86 (v120(constB7) <=> (~(v90(constB7, bitIndex1) | v90(constB7, bitIndex2) | (~v90(constB7, bitIndex0))))),
% 6.95/4.86 inference(unit_resolution,[status(thm)],[2945, 665])).
% 6.95/4.86 tff(2947,plain,
% 6.95/4.86 (nextState(constB6, constB7) <=> nextState(constB6, constB7)),
% 6.95/4.86 inference(rewrite,[status(thm)],[])).
% 6.95/4.86 tff(2948,axiom,(nextState(constB6, constB7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_6')).
% 6.95/4.86 tff(2949,plain,
% 6.95/4.86 (nextState(constB6, constB7)),
% 6.95/4.86 inference(modus_ponens,[status(thm)],[2948, 2947])).
% 6.95/4.86 tff(2950,plain,
% 6.95/4.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB6, constB7)) | (v100(constB7) <=> (~((~v101(constB7)) | (~v110(constB7))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB6, constB7)) | (v100(constB7) <=> (~((~v101(constB7)) | (~v110(constB7))))))),
% 6.95/4.86 inference(rewrite,[status(thm)],[])).
% 6.95/4.86 tff(2951,plain,
% 6.95/4.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB6, constB7)) | (v100(constB7) <=> (~((~v101(constB7)) | (~v110(constB7))))))),
% 6.95/4.86 inference(quant_inst,[status(thm)],[])).
% 6.95/4.86 tff(2952,plain,
% 6.95/4.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB6, constB7)) | (v100(constB7) <=> (~((~v101(constB7)) | (~v110(constB7)))))),
% 6.95/4.86 inference(modus_ponens,[status(thm)],[2951, 2950])).
% 6.95/4.86 tff(2953,plain,
% 6.95/4.86 (v100(constB7) <=> (~((~v101(constB7)) | (~v110(constB7))))),
% 6.95/4.86 inference(unit_resolution,[status(thm)],[2952, 2949, 445])).
% 6.95/4.86 tff(2954,plain,
% 6.95/4.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB6, constB7)) | (v101(constB7) <=> (~((~v1(constB7)) | (~v102(constB7))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB6, constB7)) | (v101(constB7) <=> (~((~v1(constB7)) | (~v102(constB7))))))),
% 6.95/4.86 inference(rewrite,[status(thm)],[])).
% 6.95/4.87 tff(2955,plain,
% 6.95/4.87 (((~nextState(constB6, constB7)) | (v101(constB7) <=> (~((~v102(constB7)) | (~v1(constB7)))))) <=> ((~nextState(constB6, constB7)) | (v101(constB7) <=> (~((~v1(constB7)) | (~v102(constB7))))))),
% 6.95/4.87 inference(rewrite,[status(thm)],[])).
% 6.95/4.87 tff(2956,plain,
% 6.95/4.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB6, constB7)) | (v101(constB7) <=> (~((~v102(constB7)) | (~v1(constB7))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB6, constB7)) | (v101(constB7) <=> (~((~v1(constB7)) | (~v102(constB7)))))))),
% 6.95/4.87 inference(monotonicity,[status(thm)],[2955])).
% 6.95/4.87 tff(2957,plain,
% 6.95/4.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB6, constB7)) | (v101(constB7) <=> (~((~v102(constB7)) | (~v1(constB7))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB6, constB7)) | (v101(constB7) <=> (~((~v1(constB7)) | (~v102(constB7))))))),
% 6.95/4.87 inference(transitivity,[status(thm)],[2956, 2954])).
% 6.95/4.87 tff(2958,plain,
% 6.95/4.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB6, constB7)) | (v101(constB7) <=> (~((~v102(constB7)) | (~v1(constB7))))))),
% 6.95/4.87 inference(quant_inst,[status(thm)],[])).
% 6.95/4.87 tff(2959,plain,
% 6.95/4.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB6, constB7)) | (v101(constB7) <=> (~((~v1(constB7)) | (~v102(constB7)))))),
% 6.95/4.87 inference(modus_ponens,[status(thm)],[2958, 2957])).
% 6.95/4.87 tff(2960,plain,
% 6.95/4.87 (v101(constB7) <=> (~((~v1(constB7)) | (~v102(constB7))))),
% 6.95/4.87 inference(unit_resolution,[status(thm)],[2959, 2949, 465])).
% 6.95/4.87 tff(2961,plain,
% 6.95/4.87 ((~v1(constB7)) <=> (~v1(constB7))),
% 6.95/4.87 inference(rewrite,[status(thm)],[])).
% 6.95/4.87 tff(2962,axiom,(~v1(constB7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_7')).
% 6.95/4.87 tff(2963,plain,
% 6.95/4.87 (~v1(constB7)),
% 6.95/4.87 inference(modus_ponens,[status(thm)],[2962, 2961])).
% 6.95/4.87 tff(2964,plain,
% 6.95/4.87 (((~v1(constB7)) | (~v102(constB7))) | v1(constB7)),
% 6.95/4.87 inference(tautology,[status(thm)],[])).
% 6.95/4.87 tff(2965,plain,
% 6.95/4.87 ((~v1(constB7)) | (~v102(constB7))),
% 6.95/4.87 inference(unit_resolution,[status(thm)],[2964, 2963])).
% 6.95/4.87 tff(2966,plain,
% 6.95/4.87 ((~(v101(constB7) <=> (~((~v1(constB7)) | (~v102(constB7)))))) | (~v101(constB7)) | (~((~v1(constB7)) | (~v102(constB7))))),
% 6.95/4.87 inference(tautology,[status(thm)],[])).
% 6.95/4.87 tff(2967,plain,
% 6.95/4.87 ((~(v101(constB7) <=> (~((~v1(constB7)) | (~v102(constB7)))))) | (~v101(constB7))),
% 6.95/4.87 inference(unit_resolution,[status(thm)],[2966, 2965])).
% 6.95/4.87 tff(2968,plain,
% 6.95/4.87 (~v101(constB7)),
% 6.95/4.87 inference(unit_resolution,[status(thm)],[2967, 2960])).
% 6.95/4.87 tff(2969,plain,
% 6.95/4.87 (((~v101(constB7)) | (~v110(constB7))) | v101(constB7)),
% 6.95/4.87 inference(tautology,[status(thm)],[])).
% 6.95/4.87 tff(2970,plain,
% 6.95/4.87 ((~v101(constB7)) | (~v110(constB7))),
% 6.95/4.87 inference(unit_resolution,[status(thm)],[2969, 2968])).
% 6.95/4.87 tff(2971,plain,
% 6.95/4.87 ((~(v100(constB7) <=> (~((~v101(constB7)) | (~v110(constB7)))))) | (~v100(constB7)) | (~((~v101(constB7)) | (~v110(constB7))))),
% 6.95/4.87 inference(tautology,[status(thm)],[])).
% 6.95/4.87 tff(2972,plain,
% 6.95/4.87 (~v100(constB7)),
% 6.95/4.87 inference(unit_resolution,[status(thm)],[2971, 2970, 2953])).
% 6.95/4.87 tff(2973,plain,
% 6.95/4.87 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB7) | (~nextState(constB6, constB7)) | (~(((~v90(constB7, bitIndex1)) <=> v90(constB6, bitIndex1)) | ((~v90(constB7, bitIndex2)) <=> v90(constB6, bitIndex2)) | ((~v90(constB7, bitIndex0)) <=> v90(constB6, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB7) | (~nextState(constB6, constB7)) | (~(((~v90(constB7, bitIndex1)) <=> v90(constB6, bitIndex1)) | ((~v90(constB7, bitIndex2)) <=> v90(constB6, bitIndex2)) | ((~v90(constB7, bitIndex0)) <=> v90(constB6, bitIndex0)))))),
% 6.95/4.87 inference(rewrite,[status(thm)],[])).
% 6.95/4.87 tff(2974,plain,
% 6.95/4.87 ((v100(constB7) | (~nextState(constB6, constB7)) | (~(((~v90(constB7, bitIndex2)) <=> v90(constB6, bitIndex2)) | ((~v90(constB7, bitIndex1)) <=> v90(constB6, bitIndex1)) | ((~v90(constB7, bitIndex0)) <=> v90(constB6, bitIndex0))))) <=> (v100(constB7) | (~nextState(constB6, constB7)) | (~(((~v90(constB7, bitIndex1)) <=> v90(constB6, bitIndex1)) | ((~v90(constB7, bitIndex2)) <=> v90(constB6, bitIndex2)) | ((~v90(constB7, bitIndex0)) <=> v90(constB6, bitIndex0)))))),
% 6.95/4.87 inference(rewrite,[status(thm)],[])).
% 6.95/4.87 tff(2975,plain,
% 6.95/4.87 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB7) | (~nextState(constB6, constB7)) | (~(((~v90(constB7, bitIndex2)) <=> v90(constB6, bitIndex2)) | ((~v90(constB7, bitIndex1)) <=> v90(constB6, bitIndex1)) | ((~v90(constB7, bitIndex0)) <=> v90(constB6, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB7) | (~nextState(constB6, constB7)) | (~(((~v90(constB7, bitIndex1)) <=> v90(constB6, bitIndex1)) | ((~v90(constB7, bitIndex2)) <=> v90(constB6, bitIndex2)) | ((~v90(constB7, bitIndex0)) <=> v90(constB6, bitIndex0))))))),
% 6.95/4.87 inference(monotonicity,[status(thm)],[2974])).
% 6.95/4.87 tff(2976,plain,
% 6.95/4.87 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB7) | (~nextState(constB6, constB7)) | (~(((~v90(constB7, bitIndex2)) <=> v90(constB6, bitIndex2)) | ((~v90(constB7, bitIndex1)) <=> v90(constB6, bitIndex1)) | ((~v90(constB7, bitIndex0)) <=> v90(constB6, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB7) | (~nextState(constB6, constB7)) | (~(((~v90(constB7, bitIndex1)) <=> v90(constB6, bitIndex1)) | ((~v90(constB7, bitIndex2)) <=> v90(constB6, bitIndex2)) | ((~v90(constB7, bitIndex0)) <=> v90(constB6, bitIndex0)))))),
% 6.95/4.87 inference(transitivity,[status(thm)],[2975, 2973])).
% 6.95/4.87 tff(2977,plain,
% 6.95/4.87 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB7) | (~nextState(constB6, constB7)) | (~(((~v90(constB7, bitIndex2)) <=> v90(constB6, bitIndex2)) | ((~v90(constB7, bitIndex1)) <=> v90(constB6, bitIndex1)) | ((~v90(constB7, bitIndex0)) <=> v90(constB6, bitIndex0)))))),
% 6.95/4.87 inference(quant_inst,[status(thm)],[])).
% 6.95/4.87 tff(2978,plain,
% 6.95/4.87 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB7) | (~nextState(constB6, constB7)) | (~(((~v90(constB7, bitIndex1)) <=> v90(constB6, bitIndex1)) | ((~v90(constB7, bitIndex2)) <=> v90(constB6, bitIndex2)) | ((~v90(constB7, bitIndex0)) <=> v90(constB6, bitIndex0))))),
% 6.95/4.87 inference(modus_ponens,[status(thm)],[2977, 2976])).
% 6.95/4.87 tff(2979,plain,
% 6.95/4.87 (v100(constB7) | (~(((~v90(constB7, bitIndex1)) <=> v90(constB6, bitIndex1)) | ((~v90(constB7, bitIndex2)) <=> v90(constB6, bitIndex2)) | ((~v90(constB7, bitIndex0)) <=> v90(constB6, bitIndex0))))),
% 6.95/4.87 inference(unit_resolution,[status(thm)],[2978, 2949, 494])).
% 6.95/4.87 tff(2980,plain,
% 6.95/4.87 (~(((~v90(constB7, bitIndex1)) <=> v90(constB6, bitIndex1)) | ((~v90(constB7, bitIndex2)) <=> v90(constB6, bitIndex2)) | ((~v90(constB7, bitIndex0)) <=> v90(constB6, bitIndex0)))),
% 6.95/4.87 inference(unit_resolution,[status(thm)],[2979, 2972])).
% 6.95/4.87 tff(2981,plain,
% 6.95/4.87 ((((~v90(constB7, bitIndex1)) <=> v90(constB6, bitIndex1)) | ((~v90(constB7, bitIndex2)) <=> v90(constB6, bitIndex2)) | ((~v90(constB7, bitIndex0)) <=> v90(constB6, bitIndex0))) | (~((~v90(constB7, bitIndex2)) <=> v90(constB6, bitIndex2)))),
% 6.95/4.87 inference(tautology,[status(thm)],[])).
% 6.95/4.87 tff(2982,plain,
% 6.95/4.87 (~((~v90(constB7, bitIndex2)) <=> v90(constB6, bitIndex2))),
% 6.95/4.87 inference(unit_resolution,[status(thm)],[2981, 2980])).
% 6.95/4.87 tff(2983,plain,
% 6.95/4.87 (nextState(constB5, constB6) <=> nextState(constB5, constB6)),
% 6.95/4.87 inference(rewrite,[status(thm)],[])).
% 6.95/4.87 tff(2984,axiom,(nextState(constB5, constB6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_5')).
% 6.95/4.87 tff(2985,plain,
% 6.95/4.87 (nextState(constB5, constB6)),
% 6.95/4.87 inference(modus_ponens,[status(thm)],[2984, 2983])).
% 6.95/4.87 tff(2986,plain,
% 6.95/4.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB5, constB6)) | (~(((~v129(constB6, bitIndex2)) <=> v127(constB5, bitIndex2)) | ((~v129(constB6, bitIndex1)) <=> v127(constB5, bitIndex1)) | ((~v129(constB6, bitIndex0)) <=> v127(constB5, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB5, constB6)) | (~(((~v129(constB6, bitIndex2)) <=> v127(constB5, bitIndex2)) | ((~v129(constB6, bitIndex1)) <=> v127(constB5, bitIndex1)) | ((~v129(constB6, bitIndex0)) <=> v127(constB5, bitIndex0)))))),
% 6.95/4.87 inference(rewrite,[status(thm)],[])).
% 6.95/4.87 tff(2987,plain,
% 6.95/4.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB5, constB6)) | (~(((~v129(constB6, bitIndex2)) <=> v127(constB5, bitIndex2)) | ((~v129(constB6, bitIndex1)) <=> v127(constB5, bitIndex1)) | ((~v129(constB6, bitIndex0)) <=> v127(constB5, bitIndex0)))))),
% 6.95/4.87 inference(quant_inst,[status(thm)],[])).
% 6.95/4.87 tff(2988,plain,
% 6.95/4.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB5, constB6)) | (~(((~v129(constB6, bitIndex2)) <=> v127(constB5, bitIndex2)) | ((~v129(constB6, bitIndex1)) <=> v127(constB5, bitIndex1)) | ((~v129(constB6, bitIndex0)) <=> v127(constB5, bitIndex0))))),
% 6.95/4.87 inference(modus_ponens,[status(thm)],[2987, 2986])).
% 6.95/4.87 tff(2989,plain,
% 6.95/4.87 (~(((~v129(constB6, bitIndex2)) <=> v127(constB5, bitIndex2)) | ((~v129(constB6, bitIndex1)) <=> v127(constB5, bitIndex1)) | ((~v129(constB6, bitIndex0)) <=> v127(constB5, bitIndex0)))),
% 6.95/4.87 inference(unit_resolution,[status(thm)],[2988, 2985, 517])).
% 6.95/4.87 tff(2990,plain,
% 6.95/4.87 ((((~v129(constB6, bitIndex2)) <=> v127(constB5, bitIndex2)) | ((~v129(constB6, bitIndex1)) <=> v127(constB5, bitIndex1)) | ((~v129(constB6, bitIndex0)) <=> v127(constB5, bitIndex0))) | (~((~v129(constB6, bitIndex2)) <=> v127(constB5, bitIndex2)))),
% 6.95/4.87 inference(tautology,[status(thm)],[])).
% 6.95/4.87 tff(2991,plain,
% 6.95/4.87 (~((~v129(constB6, bitIndex2)) <=> v127(constB5, bitIndex2))),
% 6.95/4.87 inference(unit_resolution,[status(thm)],[2990, 2989])).
% 6.95/4.87 tff(2992,plain,
% 6.95/4.87 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB5) <=> v26(constB5))),
% 6.95/4.87 inference(quant_inst,[status(thm)],[])).
% 6.95/4.87 tff(2993,plain,
% 6.95/4.87 (v111(constB5) <=> v26(constB5)),
% 6.95/4.87 inference(unit_resolution,[status(thm)],[2992, 536])).
% 6.95/4.87 tff(2994,plain,
% 6.95/4.87 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB5))),
% 6.95/4.87 inference(quant_inst,[status(thm)],[])).
% 6.95/4.87 tff(2995,plain,
% 6.95/4.87 (~v26(constB5)),
% 6.95/4.87 inference(unit_resolution,[status(thm)],[2994, 548])).
% 6.95/4.87 tff(2996,plain,
% 6.95/4.87 ((~(v111(constB5) <=> v26(constB5))) | (~v111(constB5)) | v26(constB5)),
% 6.95/4.87 inference(tautology,[status(thm)],[])).
% 6.95/4.87 tff(2997,plain,
% 6.95/4.87 ((~(v111(constB5) <=> v26(constB5))) | (~v111(constB5))),
% 6.95/4.87 inference(unit_resolution,[status(thm)],[2996, 2995])).
% 6.95/4.87 tff(2998,plain,
% 6.95/4.87 (~v111(constB5)),
% 6.95/4.87 inference(unit_resolution,[status(thm)],[2997, 2993])).
% 6.95/4.87 tff(2999,plain,
% 6.95/4.87 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB5) | (~(((~v127(constB5, bitIndex2)) <=> v130(constB5, bitIndex2)) | ((~v127(constB5, bitIndex1)) <=> v130(constB5, bitIndex1)) | ((~v127(constB5, bitIndex0)) <=> v130(constB5, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB5) | (~(((~v127(constB5, bitIndex2)) <=> v130(constB5, bitIndex2)) | ((~v127(constB5, bitIndex1)) <=> v130(constB5, bitIndex1)) | ((~v127(constB5, bitIndex0)) <=> v130(constB5, bitIndex0)))))),
% 6.95/4.87 inference(rewrite,[status(thm)],[])).
% 6.95/4.87 tff(3000,plain,
% 6.95/4.87 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB5) | (~(((~v127(constB5, bitIndex2)) <=> v130(constB5, bitIndex2)) | ((~v127(constB5, bitIndex1)) <=> v130(constB5, bitIndex1)) | ((~v127(constB5, bitIndex0)) <=> v130(constB5, bitIndex0)))))),
% 6.95/4.87 inference(quant_inst,[status(thm)],[])).
% 6.95/4.87 tff(3001,plain,
% 6.95/4.87 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB5) | (~(((~v127(constB5, bitIndex2)) <=> v130(constB5, bitIndex2)) | ((~v127(constB5, bitIndex1)) <=> v130(constB5, bitIndex1)) | ((~v127(constB5, bitIndex0)) <=> v130(constB5, bitIndex0))))),
% 6.95/4.87 inference(modus_ponens,[status(thm)],[3000, 2999])).
% 6.95/4.87 tff(3002,plain,
% 6.95/4.87 (v111(constB5) | (~(((~v127(constB5, bitIndex2)) <=> v130(constB5, bitIndex2)) | ((~v127(constB5, bitIndex1)) <=> v130(constB5, bitIndex1)) | ((~v127(constB5, bitIndex0)) <=> v130(constB5, bitIndex0))))),
% 6.95/4.87 inference(unit_resolution,[status(thm)],[3001, 566])).
% 6.95/4.87 tff(3003,plain,
% 6.95/4.87 (~(((~v127(constB5, bitIndex2)) <=> v130(constB5, bitIndex2)) | ((~v127(constB5, bitIndex1)) <=> v130(constB5, bitIndex1)) | ((~v127(constB5, bitIndex0)) <=> v130(constB5, bitIndex0)))),
% 6.95/4.87 inference(unit_resolution,[status(thm)],[3002, 2998])).
% 6.95/4.87 tff(3004,plain,
% 6.95/4.87 ((((~v127(constB5, bitIndex2)) <=> v130(constB5, bitIndex2)) | ((~v127(constB5, bitIndex1)) <=> v130(constB5, bitIndex1)) | ((~v127(constB5, bitIndex0)) <=> v130(constB5, bitIndex0))) | (~((~v127(constB5, bitIndex2)) <=> v130(constB5, bitIndex2)))),
% 6.95/4.87 inference(tautology,[status(thm)],[])).
% 6.95/4.87 tff(3005,plain,
% 6.95/4.87 (~((~v127(constB5, bitIndex2)) <=> v130(constB5, bitIndex2))),
% 6.95/4.87 inference(unit_resolution,[status(thm)],[3004, 3003])).
% 6.95/4.87 tff(3006,plain,
% 6.95/4.87 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB5) <=> (~(v90(constB5, bitIndex0) | v90(constB5, bitIndex1) | v90(constB5, bitIndex2))))),
% 6.95/4.87 inference(quant_inst,[status(thm)],[])).
% 6.95/4.87 tff(3007,plain,
% 6.95/4.87 (v119(constB5) <=> (~(v90(constB5, bitIndex0) | v90(constB5, bitIndex1) | v90(constB5, bitIndex2)))),
% 6.95/4.87 inference(unit_resolution,[status(thm)],[3006, 1085])).
% 6.95/4.87 tff(3008,plain,
% 6.95/4.87 (nextState(constB4, constB5) <=> nextState(constB4, constB5)),
% 6.95/4.87 inference(rewrite,[status(thm)],[])).
% 6.95/4.87 tff(3009,axiom,(nextState(constB4, constB5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_4')).
% 6.95/4.87 tff(3010,plain,
% 6.95/4.87 (nextState(constB4, constB5)),
% 6.95/4.87 inference(modus_ponens,[status(thm)],[3009, 3008])).
% 6.95/4.87 tff(3011,plain,
% 6.95/4.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB4, constB5)) | (v100(constB5) <=> (~((~v101(constB5)) | (~v110(constB5))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB4, constB5)) | (v100(constB5) <=> (~((~v101(constB5)) | (~v110(constB5))))))),
% 6.95/4.87 inference(rewrite,[status(thm)],[])).
% 6.95/4.87 tff(3012,plain,
% 6.95/4.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB4, constB5)) | (v100(constB5) <=> (~((~v101(constB5)) | (~v110(constB5))))))),
% 6.95/4.87 inference(quant_inst,[status(thm)],[])).
% 6.95/4.87 tff(3013,plain,
% 6.95/4.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB4, constB5)) | (v100(constB5) <=> (~((~v101(constB5)) | (~v110(constB5)))))),
% 6.95/4.87 inference(modus_ponens,[status(thm)],[3012, 3011])).
% 6.95/4.87 tff(3014,plain,
% 6.95/4.87 (v100(constB5) <=> (~((~v101(constB5)) | (~v110(constB5))))),
% 6.95/4.87 inference(unit_resolution,[status(thm)],[3013, 3010, 445])).
% 6.95/4.87 tff(3015,plain,
% 6.95/4.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB4, constB5)) | (v101(constB5) <=> (~((~v1(constB5)) | (~v102(constB5))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB4, constB5)) | (v101(constB5) <=> (~((~v1(constB5)) | (~v102(constB5))))))),
% 6.95/4.87 inference(rewrite,[status(thm)],[])).
% 6.95/4.87 tff(3016,plain,
% 6.95/4.87 (((~nextState(constB4, constB5)) | (v101(constB5) <=> (~((~v102(constB5)) | (~v1(constB5)))))) <=> ((~nextState(constB4, constB5)) | (v101(constB5) <=> (~((~v1(constB5)) | (~v102(constB5))))))),
% 6.95/4.87 inference(rewrite,[status(thm)],[])).
% 6.95/4.87 tff(3017,plain,
% 6.95/4.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB4, constB5)) | (v101(constB5) <=> (~((~v102(constB5)) | (~v1(constB5))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB4, constB5)) | (v101(constB5) <=> (~((~v1(constB5)) | (~v102(constB5)))))))),
% 6.95/4.87 inference(monotonicity,[status(thm)],[3016])).
% 6.95/4.87 tff(3018,plain,
% 6.95/4.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB4, constB5)) | (v101(constB5) <=> (~((~v102(constB5)) | (~v1(constB5))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB4, constB5)) | (v101(constB5) <=> (~((~v1(constB5)) | (~v102(constB5))))))),
% 6.95/4.87 inference(transitivity,[status(thm)],[3017, 3015])).
% 6.95/4.87 tff(3019,plain,
% 6.95/4.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB4, constB5)) | (v101(constB5) <=> (~((~v102(constB5)) | (~v1(constB5))))))),
% 6.95/4.87 inference(quant_inst,[status(thm)],[])).
% 6.95/4.87 tff(3020,plain,
% 6.95/4.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB4, constB5)) | (v101(constB5) <=> (~((~v1(constB5)) | (~v102(constB5)))))),
% 6.95/4.87 inference(modus_ponens,[status(thm)],[3019, 3018])).
% 6.95/4.87 tff(3021,plain,
% 6.95/4.87 (v101(constB5) <=> (~((~v1(constB5)) | (~v102(constB5))))),
% 6.95/4.87 inference(unit_resolution,[status(thm)],[3020, 3010, 465])).
% 6.95/4.87 tff(3022,plain,
% 6.95/4.87 ((~v1(constB5)) <=> (~v1(constB5))),
% 6.95/4.87 inference(rewrite,[status(thm)],[])).
% 6.95/4.87 tff(3023,axiom,(~v1(constB5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_5')).
% 6.95/4.87 tff(3024,plain,
% 6.95/4.87 (~v1(constB5)),
% 6.95/4.87 inference(modus_ponens,[status(thm)],[3023, 3022])).
% 6.95/4.87 tff(3025,plain,
% 6.95/4.87 (((~v1(constB5)) | (~v102(constB5))) | v1(constB5)),
% 6.95/4.87 inference(tautology,[status(thm)],[])).
% 6.95/4.87 tff(3026,plain,
% 6.95/4.87 ((~v1(constB5)) | (~v102(constB5))),
% 6.95/4.87 inference(unit_resolution,[status(thm)],[3025, 3024])).
% 6.95/4.87 tff(3027,plain,
% 6.95/4.87 ((~(v101(constB5) <=> (~((~v1(constB5)) | (~v102(constB5)))))) | (~v101(constB5)) | (~((~v1(constB5)) | (~v102(constB5))))),
% 6.95/4.87 inference(tautology,[status(thm)],[])).
% 6.95/4.87 tff(3028,plain,
% 6.95/4.87 ((~(v101(constB5) <=> (~((~v1(constB5)) | (~v102(constB5)))))) | (~v101(constB5))),
% 6.95/4.87 inference(unit_resolution,[status(thm)],[3027, 3026])).
% 6.95/4.87 tff(3029,plain,
% 6.95/4.87 (~v101(constB5)),
% 6.95/4.87 inference(unit_resolution,[status(thm)],[3028, 3021])).
% 6.95/4.87 tff(3030,plain,
% 6.95/4.87 (((~v101(constB5)) | (~v110(constB5))) | v101(constB5)),
% 6.95/4.87 inference(tautology,[status(thm)],[])).
% 6.95/4.87 tff(3031,plain,
% 6.95/4.87 ((~v101(constB5)) | (~v110(constB5))),
% 6.95/4.87 inference(unit_resolution,[status(thm)],[3030, 3029])).
% 6.95/4.87 tff(3032,plain,
% 6.95/4.87 ((~(v100(constB5) <=> (~((~v101(constB5)) | (~v110(constB5)))))) | (~v100(constB5)) | (~((~v101(constB5)) | (~v110(constB5))))),
% 6.95/4.87 inference(tautology,[status(thm)],[])).
% 6.95/4.87 tff(3033,plain,
% 6.95/4.87 (~v100(constB5)),
% 6.95/4.87 inference(unit_resolution,[status(thm)],[3032, 3031, 3014])).
% 6.95/4.87 tff(3034,plain,
% 6.95/4.87 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB5) | (~nextState(constB4, constB5)) | (~(((~v90(constB5, bitIndex1)) <=> v90(constB4, bitIndex1)) | ((~v90(constB5, bitIndex2)) <=> v90(constB4, bitIndex2)) | ((~v90(constB5, bitIndex0)) <=> v90(constB4, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB5) | (~nextState(constB4, constB5)) | (~(((~v90(constB5, bitIndex1)) <=> v90(constB4, bitIndex1)) | ((~v90(constB5, bitIndex2)) <=> v90(constB4, bitIndex2)) | ((~v90(constB5, bitIndex0)) <=> v90(constB4, bitIndex0)))))),
% 6.95/4.87 inference(rewrite,[status(thm)],[])).
% 6.95/4.87 tff(3035,plain,
% 6.95/4.87 ((v100(constB5) | (~nextState(constB4, constB5)) | (~(((~v90(constB5, bitIndex2)) <=> v90(constB4, bitIndex2)) | ((~v90(constB5, bitIndex1)) <=> v90(constB4, bitIndex1)) | ((~v90(constB5, bitIndex0)) <=> v90(constB4, bitIndex0))))) <=> (v100(constB5) | (~nextState(constB4, constB5)) | (~(((~v90(constB5, bitIndex1)) <=> v90(constB4, bitIndex1)) | ((~v90(constB5, bitIndex2)) <=> v90(constB4, bitIndex2)) | ((~v90(constB5, bitIndex0)) <=> v90(constB4, bitIndex0)))))),
% 6.95/4.87 inference(rewrite,[status(thm)],[])).
% 6.95/4.87 tff(3036,plain,
% 6.95/4.87 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB5) | (~nextState(constB4, constB5)) | (~(((~v90(constB5, bitIndex2)) <=> v90(constB4, bitIndex2)) | ((~v90(constB5, bitIndex1)) <=> v90(constB4, bitIndex1)) | ((~v90(constB5, bitIndex0)) <=> v90(constB4, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB5) | (~nextState(constB4, constB5)) | (~(((~v90(constB5, bitIndex1)) <=> v90(constB4, bitIndex1)) | ((~v90(constB5, bitIndex2)) <=> v90(constB4, bitIndex2)) | ((~v90(constB5, bitIndex0)) <=> v90(constB4, bitIndex0))))))),
% 6.95/4.87 inference(monotonicity,[status(thm)],[3035])).
% 6.95/4.87 tff(3037,plain,
% 6.95/4.87 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB5) | (~nextState(constB4, constB5)) | (~(((~v90(constB5, bitIndex2)) <=> v90(constB4, bitIndex2)) | ((~v90(constB5, bitIndex1)) <=> v90(constB4, bitIndex1)) | ((~v90(constB5, bitIndex0)) <=> v90(constB4, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB5) | (~nextState(constB4, constB5)) | (~(((~v90(constB5, bitIndex1)) <=> v90(constB4, bitIndex1)) | ((~v90(constB5, bitIndex2)) <=> v90(constB4, bitIndex2)) | ((~v90(constB5, bitIndex0)) <=> v90(constB4, bitIndex0)))))),
% 6.95/4.87 inference(transitivity,[status(thm)],[3036, 3034])).
% 6.95/4.87 tff(3038,plain,
% 6.95/4.87 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB5) | (~nextState(constB4, constB5)) | (~(((~v90(constB5, bitIndex2)) <=> v90(constB4, bitIndex2)) | ((~v90(constB5, bitIndex1)) <=> v90(constB4, bitIndex1)) | ((~v90(constB5, bitIndex0)) <=> v90(constB4, bitIndex0)))))),
% 6.95/4.87 inference(quant_inst,[status(thm)],[])).
% 6.95/4.87 tff(3039,plain,
% 6.95/4.87 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB5) | (~nextState(constB4, constB5)) | (~(((~v90(constB5, bitIndex1)) <=> v90(constB4, bitIndex1)) | ((~v90(constB5, bitIndex2)) <=> v90(constB4, bitIndex2)) | ((~v90(constB5, bitIndex0)) <=> v90(constB4, bitIndex0))))),
% 6.95/4.87 inference(modus_ponens,[status(thm)],[3038, 3037])).
% 6.95/4.87 tff(3040,plain,
% 6.95/4.87 (v100(constB5) | (~(((~v90(constB5, bitIndex1)) <=> v90(constB4, bitIndex1)) | ((~v90(constB5, bitIndex2)) <=> v90(constB4, bitIndex2)) | ((~v90(constB5, bitIndex0)) <=> v90(constB4, bitIndex0))))),
% 6.95/4.88 inference(unit_resolution,[status(thm)],[3039, 3010, 494])).
% 6.95/4.88 tff(3041,plain,
% 6.95/4.88 (~(((~v90(constB5, bitIndex1)) <=> v90(constB4, bitIndex1)) | ((~v90(constB5, bitIndex2)) <=> v90(constB4, bitIndex2)) | ((~v90(constB5, bitIndex0)) <=> v90(constB4, bitIndex0)))),
% 6.95/4.88 inference(unit_resolution,[status(thm)],[3040, 3033])).
% 6.95/4.88 tff(3042,plain,
% 6.95/4.88 ((((~v90(constB5, bitIndex1)) <=> v90(constB4, bitIndex1)) | ((~v90(constB5, bitIndex2)) <=> v90(constB4, bitIndex2)) | ((~v90(constB5, bitIndex0)) <=> v90(constB4, bitIndex0))) | (~((~v90(constB5, bitIndex2)) <=> v90(constB4, bitIndex2)))),
% 6.95/4.88 inference(tautology,[status(thm)],[])).
% 6.95/4.88 tff(3043,plain,
% 6.95/4.88 (~((~v90(constB5, bitIndex2)) <=> v90(constB4, bitIndex2))),
% 6.95/4.88 inference(unit_resolution,[status(thm)],[3042, 3041])).
% 6.95/4.88 tff(3044,plain,
% 6.95/4.88 (nextState(constB3, constB4) <=> nextState(constB3, constB4)),
% 6.95/4.88 inference(rewrite,[status(thm)],[])).
% 6.95/4.88 tff(3045,axiom,(nextState(constB3, constB4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_3')).
% 6.95/4.88 tff(3046,plain,
% 6.95/4.88 (nextState(constB3, constB4)),
% 6.95/4.88 inference(modus_ponens,[status(thm)],[3045, 3044])).
% 6.95/4.88 tff(3047,plain,
% 6.95/4.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB3, constB4)) | (~(((~v129(constB4, bitIndex2)) <=> v127(constB3, bitIndex2)) | ((~v129(constB4, bitIndex1)) <=> v127(constB3, bitIndex1)) | ((~v129(constB4, bitIndex0)) <=> v127(constB3, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB3, constB4)) | (~(((~v129(constB4, bitIndex2)) <=> v127(constB3, bitIndex2)) | ((~v129(constB4, bitIndex1)) <=> v127(constB3, bitIndex1)) | ((~v129(constB4, bitIndex0)) <=> v127(constB3, bitIndex0)))))),
% 6.95/4.88 inference(rewrite,[status(thm)],[])).
% 6.95/4.88 tff(3048,plain,
% 6.95/4.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB3, constB4)) | (~(((~v129(constB4, bitIndex2)) <=> v127(constB3, bitIndex2)) | ((~v129(constB4, bitIndex1)) <=> v127(constB3, bitIndex1)) | ((~v129(constB4, bitIndex0)) <=> v127(constB3, bitIndex0)))))),
% 6.95/4.88 inference(quant_inst,[status(thm)],[])).
% 6.95/4.88 tff(3049,plain,
% 6.95/4.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB3, constB4)) | (~(((~v129(constB4, bitIndex2)) <=> v127(constB3, bitIndex2)) | ((~v129(constB4, bitIndex1)) <=> v127(constB3, bitIndex1)) | ((~v129(constB4, bitIndex0)) <=> v127(constB3, bitIndex0))))),
% 6.95/4.88 inference(modus_ponens,[status(thm)],[3048, 3047])).
% 6.95/4.88 tff(3050,plain,
% 6.95/4.88 (~(((~v129(constB4, bitIndex2)) <=> v127(constB3, bitIndex2)) | ((~v129(constB4, bitIndex1)) <=> v127(constB3, bitIndex1)) | ((~v129(constB4, bitIndex0)) <=> v127(constB3, bitIndex0)))),
% 6.95/4.88 inference(unit_resolution,[status(thm)],[3049, 3046, 517])).
% 6.95/4.88 tff(3051,plain,
% 6.95/4.88 ((((~v129(constB4, bitIndex2)) <=> v127(constB3, bitIndex2)) | ((~v129(constB4, bitIndex1)) <=> v127(constB3, bitIndex1)) | ((~v129(constB4, bitIndex0)) <=> v127(constB3, bitIndex0))) | (~((~v129(constB4, bitIndex2)) <=> v127(constB3, bitIndex2)))),
% 6.95/4.88 inference(tautology,[status(thm)],[])).
% 6.95/4.88 tff(3052,plain,
% 6.95/4.88 (~((~v129(constB4, bitIndex2)) <=> v127(constB3, bitIndex2))),
% 6.95/4.88 inference(unit_resolution,[status(thm)],[3051, 3050])).
% 6.95/4.88 tff(3053,plain,
% 6.95/4.88 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB3) <=> v26(constB3))),
% 6.95/4.88 inference(quant_inst,[status(thm)],[])).
% 6.95/4.88 tff(3054,plain,
% 6.95/4.88 (v111(constB3) <=> v26(constB3)),
% 6.95/4.88 inference(unit_resolution,[status(thm)],[3053, 536])).
% 6.95/4.88 tff(3055,plain,
% 6.95/4.88 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB3))),
% 6.95/4.88 inference(quant_inst,[status(thm)],[])).
% 6.95/4.88 tff(3056,plain,
% 6.95/4.88 (~v26(constB3)),
% 6.95/4.88 inference(unit_resolution,[status(thm)],[3055, 548])).
% 6.95/4.88 tff(3057,plain,
% 6.95/4.88 ((~(v111(constB3) <=> v26(constB3))) | (~v111(constB3)) | v26(constB3)),
% 6.95/4.88 inference(tautology,[status(thm)],[])).
% 6.95/4.88 tff(3058,plain,
% 6.95/4.88 ((~(v111(constB3) <=> v26(constB3))) | (~v111(constB3))),
% 6.95/4.88 inference(unit_resolution,[status(thm)],[3057, 3056])).
% 6.95/4.88 tff(3059,plain,
% 6.95/4.88 (~v111(constB3)),
% 6.95/4.88 inference(unit_resolution,[status(thm)],[3058, 3054])).
% 6.95/4.88 tff(3060,plain,
% 6.95/4.88 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB3) | (~(((~v127(constB3, bitIndex2)) <=> v130(constB3, bitIndex2)) | ((~v127(constB3, bitIndex1)) <=> v130(constB3, bitIndex1)) | ((~v127(constB3, bitIndex0)) <=> v130(constB3, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB3) | (~(((~v127(constB3, bitIndex2)) <=> v130(constB3, bitIndex2)) | ((~v127(constB3, bitIndex1)) <=> v130(constB3, bitIndex1)) | ((~v127(constB3, bitIndex0)) <=> v130(constB3, bitIndex0)))))),
% 6.95/4.88 inference(rewrite,[status(thm)],[])).
% 6.95/4.88 tff(3061,plain,
% 6.95/4.88 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB3) | (~(((~v127(constB3, bitIndex2)) <=> v130(constB3, bitIndex2)) | ((~v127(constB3, bitIndex1)) <=> v130(constB3, bitIndex1)) | ((~v127(constB3, bitIndex0)) <=> v130(constB3, bitIndex0)))))),
% 6.95/4.88 inference(quant_inst,[status(thm)],[])).
% 6.95/4.88 tff(3062,plain,
% 6.95/4.88 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB3) | (~(((~v127(constB3, bitIndex2)) <=> v130(constB3, bitIndex2)) | ((~v127(constB3, bitIndex1)) <=> v130(constB3, bitIndex1)) | ((~v127(constB3, bitIndex0)) <=> v130(constB3, bitIndex0))))),
% 6.95/4.88 inference(modus_ponens,[status(thm)],[3061, 3060])).
% 6.95/4.88 tff(3063,plain,
% 6.95/4.88 (v111(constB3) | (~(((~v127(constB3, bitIndex2)) <=> v130(constB3, bitIndex2)) | ((~v127(constB3, bitIndex1)) <=> v130(constB3, bitIndex1)) | ((~v127(constB3, bitIndex0)) <=> v130(constB3, bitIndex0))))),
% 6.95/4.88 inference(unit_resolution,[status(thm)],[3062, 566])).
% 6.95/4.88 tff(3064,plain,
% 6.95/4.88 (~(((~v127(constB3, bitIndex2)) <=> v130(constB3, bitIndex2)) | ((~v127(constB3, bitIndex1)) <=> v130(constB3, bitIndex1)) | ((~v127(constB3, bitIndex0)) <=> v130(constB3, bitIndex0)))),
% 6.95/4.88 inference(unit_resolution,[status(thm)],[3063, 3059])).
% 6.95/4.88 tff(3065,plain,
% 6.95/4.88 ((((~v127(constB3, bitIndex2)) <=> v130(constB3, bitIndex2)) | ((~v127(constB3, bitIndex1)) <=> v130(constB3, bitIndex1)) | ((~v127(constB3, bitIndex0)) <=> v130(constB3, bitIndex0))) | (~((~v127(constB3, bitIndex2)) <=> v130(constB3, bitIndex2)))),
% 6.95/4.88 inference(tautology,[status(thm)],[])).
% 6.95/4.88 tff(3066,plain,
% 6.95/4.88 (~((~v127(constB3, bitIndex2)) <=> v130(constB3, bitIndex2))),
% 6.95/4.88 inference(unit_resolution,[status(thm)],[3065, 3064])).
% 6.95/4.88 tff(3067,plain,
% 6.95/4.88 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB3) <=> (~(v90(constB3, bitIndex1) | v90(constB3, bitIndex0) | (~v90(constB3, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB3) <=> (~(v90(constB3, bitIndex1) | v90(constB3, bitIndex0) | (~v90(constB3, bitIndex2))))))),
% 6.95/4.88 inference(rewrite,[status(thm)],[])).
% 6.95/4.88 tff(3068,plain,
% 6.95/4.88 ((v123(constB3) <=> (~(v90(constB3, bitIndex0) | v90(constB3, bitIndex1) | (~v90(constB3, bitIndex2))))) <=> (v123(constB3) <=> (~(v90(constB3, bitIndex1) | v90(constB3, bitIndex0) | (~v90(constB3, bitIndex2)))))),
% 6.95/4.88 inference(rewrite,[status(thm)],[])).
% 6.95/4.88 tff(3069,plain,
% 6.95/4.88 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB3) <=> (~(v90(constB3, bitIndex0) | v90(constB3, bitIndex1) | (~v90(constB3, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB3) <=> (~(v90(constB3, bitIndex1) | v90(constB3, bitIndex0) | (~v90(constB3, bitIndex2))))))),
% 6.95/4.88 inference(monotonicity,[status(thm)],[3068])).
% 6.95/4.88 tff(3070,plain,
% 6.95/4.88 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB3) <=> (~(v90(constB3, bitIndex0) | v90(constB3, bitIndex1) | (~v90(constB3, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB3) <=> (~(v90(constB3, bitIndex1) | v90(constB3, bitIndex0) | (~v90(constB3, bitIndex2))))))),
% 6.95/4.88 inference(transitivity,[status(thm)],[3069, 3067])).
% 6.95/4.88 tff(3071,plain,
% 6.95/4.88 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB3) <=> (~(v90(constB3, bitIndex0) | v90(constB3, bitIndex1) | (~v90(constB3, bitIndex2)))))),
% 6.95/4.88 inference(quant_inst,[status(thm)],[])).
% 6.95/4.88 tff(3072,plain,
% 6.95/4.88 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB3) <=> (~(v90(constB3, bitIndex1) | v90(constB3, bitIndex0) | (~v90(constB3, bitIndex2)))))),
% 6.95/4.88 inference(modus_ponens,[status(thm)],[3071, 3070])).
% 6.95/4.88 tff(3073,plain,
% 6.95/4.88 (v123(constB3) <=> (~(v90(constB3, bitIndex1) | v90(constB3, bitIndex0) | (~v90(constB3, bitIndex2))))),
% 6.95/4.88 inference(unit_resolution,[status(thm)],[3072, 800])).
% 6.95/4.88 tff(3074,plain,
% 6.95/4.88 (nextState(constB2, constB3) <=> nextState(constB2, constB3)),
% 6.95/4.88 inference(rewrite,[status(thm)],[])).
% 6.95/4.88 tff(3075,axiom,(nextState(constB2, constB3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_2')).
% 6.95/4.88 tff(3076,plain,
% 6.95/4.88 (nextState(constB2, constB3)),
% 6.95/4.88 inference(modus_ponens,[status(thm)],[3075, 3074])).
% 6.95/4.88 tff(3077,plain,
% 6.95/4.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB2, constB3)) | (v100(constB3) <=> (~((~v101(constB3)) | (~v110(constB3))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB2, constB3)) | (v100(constB3) <=> (~((~v101(constB3)) | (~v110(constB3))))))),
% 6.95/4.88 inference(rewrite,[status(thm)],[])).
% 6.95/4.88 tff(3078,plain,
% 6.95/4.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB2, constB3)) | (v100(constB3) <=> (~((~v101(constB3)) | (~v110(constB3))))))),
% 6.95/4.88 inference(quant_inst,[status(thm)],[])).
% 6.95/4.88 tff(3079,plain,
% 6.95/4.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB2, constB3)) | (v100(constB3) <=> (~((~v101(constB3)) | (~v110(constB3)))))),
% 6.95/4.88 inference(modus_ponens,[status(thm)],[3078, 3077])).
% 6.95/4.88 tff(3080,plain,
% 6.95/4.88 (v100(constB3) <=> (~((~v101(constB3)) | (~v110(constB3))))),
% 6.95/4.88 inference(unit_resolution,[status(thm)],[3079, 3076, 445])).
% 6.95/4.88 tff(3081,plain,
% 6.95/4.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB2, constB3)) | (v101(constB3) <=> (~((~v1(constB3)) | (~v102(constB3))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB2, constB3)) | (v101(constB3) <=> (~((~v1(constB3)) | (~v102(constB3))))))),
% 6.95/4.88 inference(rewrite,[status(thm)],[])).
% 6.95/4.88 tff(3082,plain,
% 6.95/4.88 (((~nextState(constB2, constB3)) | (v101(constB3) <=> (~((~v102(constB3)) | (~v1(constB3)))))) <=> ((~nextState(constB2, constB3)) | (v101(constB3) <=> (~((~v1(constB3)) | (~v102(constB3))))))),
% 6.95/4.88 inference(rewrite,[status(thm)],[])).
% 6.95/4.88 tff(3083,plain,
% 6.95/4.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB2, constB3)) | (v101(constB3) <=> (~((~v102(constB3)) | (~v1(constB3))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB2, constB3)) | (v101(constB3) <=> (~((~v1(constB3)) | (~v102(constB3)))))))),
% 6.95/4.88 inference(monotonicity,[status(thm)],[3082])).
% 6.95/4.88 tff(3084,plain,
% 6.95/4.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB2, constB3)) | (v101(constB3) <=> (~((~v102(constB3)) | (~v1(constB3))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB2, constB3)) | (v101(constB3) <=> (~((~v1(constB3)) | (~v102(constB3))))))),
% 6.95/4.88 inference(transitivity,[status(thm)],[3083, 3081])).
% 6.95/4.88 tff(3085,plain,
% 6.95/4.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB2, constB3)) | (v101(constB3) <=> (~((~v102(constB3)) | (~v1(constB3))))))),
% 6.95/4.88 inference(quant_inst,[status(thm)],[])).
% 6.95/4.88 tff(3086,plain,
% 6.95/4.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB2, constB3)) | (v101(constB3) <=> (~((~v1(constB3)) | (~v102(constB3)))))),
% 6.95/4.88 inference(modus_ponens,[status(thm)],[3085, 3084])).
% 6.95/4.88 tff(3087,plain,
% 6.95/4.88 (v101(constB3) <=> (~((~v1(constB3)) | (~v102(constB3))))),
% 6.95/4.88 inference(unit_resolution,[status(thm)],[3086, 3076, 465])).
% 6.95/4.88 tff(3088,plain,
% 6.95/4.88 ((~v1(constB3)) <=> (~v1(constB3))),
% 6.95/4.88 inference(rewrite,[status(thm)],[])).
% 6.95/4.88 tff(3089,axiom,(~v1(constB3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_3')).
% 6.95/4.88 tff(3090,plain,
% 6.95/4.88 (~v1(constB3)),
% 6.95/4.88 inference(modus_ponens,[status(thm)],[3089, 3088])).
% 6.95/4.88 tff(3091,plain,
% 6.95/4.88 (((~v1(constB3)) | (~v102(constB3))) | v1(constB3)),
% 6.95/4.88 inference(tautology,[status(thm)],[])).
% 6.95/4.88 tff(3092,plain,
% 6.95/4.88 ((~v1(constB3)) | (~v102(constB3))),
% 6.95/4.88 inference(unit_resolution,[status(thm)],[3091, 3090])).
% 6.95/4.88 tff(3093,plain,
% 6.95/4.88 ((~(v101(constB3) <=> (~((~v1(constB3)) | (~v102(constB3)))))) | (~v101(constB3)) | (~((~v1(constB3)) | (~v102(constB3))))),
% 6.95/4.88 inference(tautology,[status(thm)],[])).
% 6.95/4.88 tff(3094,plain,
% 6.95/4.88 ((~(v101(constB3) <=> (~((~v1(constB3)) | (~v102(constB3)))))) | (~v101(constB3))),
% 6.95/4.88 inference(unit_resolution,[status(thm)],[3093, 3092])).
% 6.95/4.88 tff(3095,plain,
% 6.95/4.88 (~v101(constB3)),
% 6.95/4.88 inference(unit_resolution,[status(thm)],[3094, 3087])).
% 6.95/4.88 tff(3096,plain,
% 6.95/4.88 (((~v101(constB3)) | (~v110(constB3))) | v101(constB3)),
% 6.95/4.88 inference(tautology,[status(thm)],[])).
% 6.95/4.88 tff(3097,plain,
% 6.95/4.88 ((~v101(constB3)) | (~v110(constB3))),
% 6.95/4.88 inference(unit_resolution,[status(thm)],[3096, 3095])).
% 6.95/4.88 tff(3098,plain,
% 6.95/4.88 ((~(v100(constB3) <=> (~((~v101(constB3)) | (~v110(constB3)))))) | (~v100(constB3)) | (~((~v101(constB3)) | (~v110(constB3))))),
% 6.95/4.88 inference(tautology,[status(thm)],[])).
% 6.95/4.88 tff(3099,plain,
% 6.95/4.88 (~v100(constB3)),
% 6.95/4.88 inference(unit_resolution,[status(thm)],[3098, 3097, 3080])).
% 6.95/4.88 tff(3100,plain,
% 6.95/4.88 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB3) | (~nextState(constB2, constB3)) | (~(((~v90(constB3, bitIndex1)) <=> v90(constB2, bitIndex1)) | ((~v90(constB3, bitIndex2)) <=> v90(constB2, bitIndex2)) | ((~v90(constB3, bitIndex0)) <=> v90(constB2, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB3) | (~nextState(constB2, constB3)) | (~(((~v90(constB3, bitIndex1)) <=> v90(constB2, bitIndex1)) | ((~v90(constB3, bitIndex2)) <=> v90(constB2, bitIndex2)) | ((~v90(constB3, bitIndex0)) <=> v90(constB2, bitIndex0)))))),
% 6.95/4.88 inference(rewrite,[status(thm)],[])).
% 6.95/4.88 tff(3101,plain,
% 6.95/4.88 ((v100(constB3) | (~nextState(constB2, constB3)) | (~(((~v90(constB3, bitIndex2)) <=> v90(constB2, bitIndex2)) | ((~v90(constB3, bitIndex1)) <=> v90(constB2, bitIndex1)) | ((~v90(constB3, bitIndex0)) <=> v90(constB2, bitIndex0))))) <=> (v100(constB3) | (~nextState(constB2, constB3)) | (~(((~v90(constB3, bitIndex1)) <=> v90(constB2, bitIndex1)) | ((~v90(constB3, bitIndex2)) <=> v90(constB2, bitIndex2)) | ((~v90(constB3, bitIndex0)) <=> v90(constB2, bitIndex0)))))),
% 6.95/4.88 inference(rewrite,[status(thm)],[])).
% 6.95/4.88 tff(3102,plain,
% 6.95/4.88 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB3) | (~nextState(constB2, constB3)) | (~(((~v90(constB3, bitIndex2)) <=> v90(constB2, bitIndex2)) | ((~v90(constB3, bitIndex1)) <=> v90(constB2, bitIndex1)) | ((~v90(constB3, bitIndex0)) <=> v90(constB2, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB3) | (~nextState(constB2, constB3)) | (~(((~v90(constB3, bitIndex1)) <=> v90(constB2, bitIndex1)) | ((~v90(constB3, bitIndex2)) <=> v90(constB2, bitIndex2)) | ((~v90(constB3, bitIndex0)) <=> v90(constB2, bitIndex0))))))),
% 6.95/4.88 inference(monotonicity,[status(thm)],[3101])).
% 6.95/4.88 tff(3103,plain,
% 6.95/4.88 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB3) | (~nextState(constB2, constB3)) | (~(((~v90(constB3, bitIndex2)) <=> v90(constB2, bitIndex2)) | ((~v90(constB3, bitIndex1)) <=> v90(constB2, bitIndex1)) | ((~v90(constB3, bitIndex0)) <=> v90(constB2, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB3) | (~nextState(constB2, constB3)) | (~(((~v90(constB3, bitIndex1)) <=> v90(constB2, bitIndex1)) | ((~v90(constB3, bitIndex2)) <=> v90(constB2, bitIndex2)) | ((~v90(constB3, bitIndex0)) <=> v90(constB2, bitIndex0)))))),
% 6.95/4.88 inference(transitivity,[status(thm)],[3102, 3100])).
% 6.95/4.88 tff(3104,plain,
% 6.95/4.88 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB3) | (~nextState(constB2, constB3)) | (~(((~v90(constB3, bitIndex2)) <=> v90(constB2, bitIndex2)) | ((~v90(constB3, bitIndex1)) <=> v90(constB2, bitIndex1)) | ((~v90(constB3, bitIndex0)) <=> v90(constB2, bitIndex0)))))),
% 6.95/4.88 inference(quant_inst,[status(thm)],[])).
% 6.95/4.88 tff(3105,plain,
% 6.95/4.88 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB3) | (~nextState(constB2, constB3)) | (~(((~v90(constB3, bitIndex1)) <=> v90(constB2, bitIndex1)) | ((~v90(constB3, bitIndex2)) <=> v90(constB2, bitIndex2)) | ((~v90(constB3, bitIndex0)) <=> v90(constB2, bitIndex0))))),
% 6.95/4.88 inference(modus_ponens,[status(thm)],[3104, 3103])).
% 6.95/4.88 tff(3106,plain,
% 6.95/4.88 (v100(constB3) | (~(((~v90(constB3, bitIndex1)) <=> v90(constB2, bitIndex1)) | ((~v90(constB3, bitIndex2)) <=> v90(constB2, bitIndex2)) | ((~v90(constB3, bitIndex0)) <=> v90(constB2, bitIndex0))))),
% 6.95/4.88 inference(unit_resolution,[status(thm)],[3105, 3076, 494])).
% 6.95/4.88 tff(3107,plain,
% 6.95/4.88 (~(((~v90(constB3, bitIndex1)) <=> v90(constB2, bitIndex1)) | ((~v90(constB3, bitIndex2)) <=> v90(constB2, bitIndex2)) | ((~v90(constB3, bitIndex0)) <=> v90(constB2, bitIndex0)))),
% 6.95/4.88 inference(unit_resolution,[status(thm)],[3106, 3099])).
% 6.95/4.88 tff(3108,plain,
% 6.95/4.88 ((((~v90(constB3, bitIndex1)) <=> v90(constB2, bitIndex1)) | ((~v90(constB3, bitIndex2)) <=> v90(constB2, bitIndex2)) | ((~v90(constB3, bitIndex0)) <=> v90(constB2, bitIndex0))) | (~((~v90(constB3, bitIndex2)) <=> v90(constB2, bitIndex2)))),
% 6.95/4.88 inference(tautology,[status(thm)],[])).
% 6.95/4.88 tff(3109,plain,
% 6.95/4.88 (~((~v90(constB3, bitIndex2)) <=> v90(constB2, bitIndex2))),
% 6.95/4.88 inference(unit_resolution,[status(thm)],[3108, 3107])).
% 6.95/4.88 tff(3110,plain,
% 6.95/4.88 (nextState(constB1, constB2) <=> nextState(constB1, constB2)),
% 6.95/4.88 inference(rewrite,[status(thm)],[])).
% 6.95/4.88 tff(3111,axiom,(nextState(constB1, constB2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_1')).
% 6.95/4.88 tff(3112,plain,
% 6.95/4.88 (nextState(constB1, constB2)),
% 6.95/4.88 inference(modus_ponens,[status(thm)],[3111, 3110])).
% 6.95/4.88 tff(3113,plain,
% 6.95/4.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB1, constB2)) | (~(((~v129(constB2, bitIndex2)) <=> v127(constB1, bitIndex2)) | ((~v129(constB2, bitIndex1)) <=> v127(constB1, bitIndex1)) | ((~v129(constB2, bitIndex0)) <=> v127(constB1, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB1, constB2)) | (~(((~v129(constB2, bitIndex2)) <=> v127(constB1, bitIndex2)) | ((~v129(constB2, bitIndex1)) <=> v127(constB1, bitIndex1)) | ((~v129(constB2, bitIndex0)) <=> v127(constB1, bitIndex0)))))),
% 6.95/4.88 inference(rewrite,[status(thm)],[])).
% 6.95/4.88 tff(3114,plain,
% 6.95/4.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB1, constB2)) | (~(((~v129(constB2, bitIndex2)) <=> v127(constB1, bitIndex2)) | ((~v129(constB2, bitIndex1)) <=> v127(constB1, bitIndex1)) | ((~v129(constB2, bitIndex0)) <=> v127(constB1, bitIndex0)))))),
% 6.95/4.88 inference(quant_inst,[status(thm)],[])).
% 6.95/4.88 tff(3115,plain,
% 6.95/4.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB1, constB2)) | (~(((~v129(constB2, bitIndex2)) <=> v127(constB1, bitIndex2)) | ((~v129(constB2, bitIndex1)) <=> v127(constB1, bitIndex1)) | ((~v129(constB2, bitIndex0)) <=> v127(constB1, bitIndex0))))),
% 6.95/4.88 inference(modus_ponens,[status(thm)],[3114, 3113])).
% 6.95/4.88 tff(3116,plain,
% 6.95/4.88 (~(((~v129(constB2, bitIndex2)) <=> v127(constB1, bitIndex2)) | ((~v129(constB2, bitIndex1)) <=> v127(constB1, bitIndex1)) | ((~v129(constB2, bitIndex0)) <=> v127(constB1, bitIndex0)))),
% 6.95/4.88 inference(unit_resolution,[status(thm)],[3115, 3112, 517])).
% 6.95/4.88 tff(3117,plain,
% 6.95/4.88 ((((~v129(constB2, bitIndex2)) <=> v127(constB1, bitIndex2)) | ((~v129(constB2, bitIndex1)) <=> v127(constB1, bitIndex1)) | ((~v129(constB2, bitIndex0)) <=> v127(constB1, bitIndex0))) | (~((~v129(constB2, bitIndex2)) <=> v127(constB1, bitIndex2)))),
% 6.95/4.88 inference(tautology,[status(thm)],[])).
% 6.95/4.88 tff(3118,plain,
% 6.95/4.88 (~((~v129(constB2, bitIndex2)) <=> v127(constB1, bitIndex2))),
% 6.95/4.88 inference(unit_resolution,[status(thm)],[3117, 3116])).
% 6.95/4.88 tff(3119,plain,
% 6.95/4.88 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB1) <=> v26(constB1))),
% 6.95/4.88 inference(quant_inst,[status(thm)],[])).
% 6.95/4.89 tff(3120,plain,
% 6.95/4.89 (v111(constB1) <=> v26(constB1)),
% 6.95/4.89 inference(unit_resolution,[status(thm)],[3119, 536])).
% 6.95/4.89 tff(3121,plain,
% 6.95/4.89 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB1))),
% 6.95/4.89 inference(quant_inst,[status(thm)],[])).
% 6.95/4.89 tff(3122,plain,
% 6.95/4.89 (~v26(constB1)),
% 6.95/4.89 inference(unit_resolution,[status(thm)],[3121, 548])).
% 6.95/4.89 tff(3123,plain,
% 6.95/4.89 ((~(v111(constB1) <=> v26(constB1))) | (~v111(constB1)) | v26(constB1)),
% 6.95/4.89 inference(tautology,[status(thm)],[])).
% 6.95/4.89 tff(3124,plain,
% 6.95/4.89 ((~(v111(constB1) <=> v26(constB1))) | (~v111(constB1))),
% 6.95/4.89 inference(unit_resolution,[status(thm)],[3123, 3122])).
% 6.95/4.89 tff(3125,plain,
% 6.95/4.89 (~v111(constB1)),
% 6.95/4.89 inference(unit_resolution,[status(thm)],[3124, 3120])).
% 6.95/4.89 tff(3126,plain,
% 6.95/4.89 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB1) | (~(((~v127(constB1, bitIndex2)) <=> v130(constB1, bitIndex2)) | ((~v127(constB1, bitIndex1)) <=> v130(constB1, bitIndex1)) | ((~v127(constB1, bitIndex0)) <=> v130(constB1, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB1) | (~(((~v127(constB1, bitIndex2)) <=> v130(constB1, bitIndex2)) | ((~v127(constB1, bitIndex1)) <=> v130(constB1, bitIndex1)) | ((~v127(constB1, bitIndex0)) <=> v130(constB1, bitIndex0)))))),
% 6.95/4.89 inference(rewrite,[status(thm)],[])).
% 6.95/4.89 tff(3127,plain,
% 6.95/4.89 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB1) | (~(((~v127(constB1, bitIndex2)) <=> v130(constB1, bitIndex2)) | ((~v127(constB1, bitIndex1)) <=> v130(constB1, bitIndex1)) | ((~v127(constB1, bitIndex0)) <=> v130(constB1, bitIndex0)))))),
% 6.95/4.89 inference(quant_inst,[status(thm)],[])).
% 6.95/4.89 tff(3128,plain,
% 6.95/4.89 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB1) | (~(((~v127(constB1, bitIndex2)) <=> v130(constB1, bitIndex2)) | ((~v127(constB1, bitIndex1)) <=> v130(constB1, bitIndex1)) | ((~v127(constB1, bitIndex0)) <=> v130(constB1, bitIndex0))))),
% 6.95/4.89 inference(modus_ponens,[status(thm)],[3127, 3126])).
% 6.95/4.89 tff(3129,plain,
% 6.95/4.89 (v111(constB1) | (~(((~v127(constB1, bitIndex2)) <=> v130(constB1, bitIndex2)) | ((~v127(constB1, bitIndex1)) <=> v130(constB1, bitIndex1)) | ((~v127(constB1, bitIndex0)) <=> v130(constB1, bitIndex0))))),
% 6.95/4.89 inference(unit_resolution,[status(thm)],[3128, 566])).
% 6.95/4.89 tff(3130,plain,
% 6.95/4.89 (~(((~v127(constB1, bitIndex2)) <=> v130(constB1, bitIndex2)) | ((~v127(constB1, bitIndex1)) <=> v130(constB1, bitIndex1)) | ((~v127(constB1, bitIndex0)) <=> v130(constB1, bitIndex0)))),
% 6.95/4.89 inference(unit_resolution,[status(thm)],[3129, 3125])).
% 6.95/4.89 tff(3131,plain,
% 6.95/4.89 ((((~v127(constB1, bitIndex2)) <=> v130(constB1, bitIndex2)) | ((~v127(constB1, bitIndex1)) <=> v130(constB1, bitIndex1)) | ((~v127(constB1, bitIndex0)) <=> v130(constB1, bitIndex0))) | (~((~v127(constB1, bitIndex2)) <=> v130(constB1, bitIndex2)))),
% 6.95/4.89 inference(tautology,[status(thm)],[])).
% 6.95/4.89 tff(3132,plain,
% 6.95/4.89 (~((~v127(constB1, bitIndex2)) <=> v130(constB1, bitIndex2))),
% 6.95/4.89 inference(unit_resolution,[status(thm)],[3131, 3130])).
% 6.95/4.89 tff(3133,plain,
% 6.95/4.89 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB1) <=> (~(v90(constB1, bitIndex0) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2))))),
% 6.95/4.89 inference(quant_inst,[status(thm)],[])).
% 6.95/4.89 tff(3134,plain,
% 6.95/4.89 (v119(constB1) <=> (~(v90(constB1, bitIndex0) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2)))),
% 6.95/4.89 inference(unit_resolution,[status(thm)],[3133, 1085])).
% 6.95/4.89 tff(3135,plain,
% 6.95/4.89 (nextState(constB0, constB1) <=> nextState(constB0, constB1)),
% 6.95/4.89 inference(rewrite,[status(thm)],[])).
% 6.95/4.89 tff(3136,axiom,(nextState(constB0, constB1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom')).
% 6.95/4.89 tff(3137,plain,
% 6.95/4.89 (nextState(constB0, constB1)),
% 6.95/4.89 inference(modus_ponens,[status(thm)],[3136, 3135])).
% 6.95/4.89 tff(3138,plain,
% 6.95/4.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB0, constB1)) | (v100(constB1) <=> (~((~v101(constB1)) | (~v110(constB1))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB0, constB1)) | (v100(constB1) <=> (~((~v101(constB1)) | (~v110(constB1))))))),
% 6.95/4.89 inference(rewrite,[status(thm)],[])).
% 6.95/4.89 tff(3139,plain,
% 6.95/4.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB0, constB1)) | (v100(constB1) <=> (~((~v101(constB1)) | (~v110(constB1))))))),
% 6.95/4.89 inference(quant_inst,[status(thm)],[])).
% 6.95/4.89 tff(3140,plain,
% 6.95/4.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB0, constB1)) | (v100(constB1) <=> (~((~v101(constB1)) | (~v110(constB1)))))),
% 6.95/4.89 inference(modus_ponens,[status(thm)],[3139, 3138])).
% 6.95/4.89 tff(3141,plain,
% 6.95/4.89 (v100(constB1) <=> (~((~v101(constB1)) | (~v110(constB1))))),
% 6.95/4.89 inference(unit_resolution,[status(thm)],[3140, 3137, 445])).
% 6.95/4.89 tff(3142,plain,
% 6.95/4.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB0, constB1)) | (v101(constB1) <=> (~((~v1(constB1)) | (~v102(constB1))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB0, constB1)) | (v101(constB1) <=> (~((~v1(constB1)) | (~v102(constB1))))))),
% 6.95/4.89 inference(rewrite,[status(thm)],[])).
% 6.95/4.89 tff(3143,plain,
% 6.95/4.89 (((~nextState(constB0, constB1)) | (v101(constB1) <=> (~((~v102(constB1)) | (~v1(constB1)))))) <=> ((~nextState(constB0, constB1)) | (v101(constB1) <=> (~((~v1(constB1)) | (~v102(constB1))))))),
% 6.95/4.89 inference(rewrite,[status(thm)],[])).
% 6.95/4.89 tff(3144,plain,
% 6.95/4.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB0, constB1)) | (v101(constB1) <=> (~((~v102(constB1)) | (~v1(constB1))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB0, constB1)) | (v101(constB1) <=> (~((~v1(constB1)) | (~v102(constB1)))))))),
% 6.95/4.89 inference(monotonicity,[status(thm)],[3143])).
% 6.95/4.89 tff(3145,plain,
% 6.95/4.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB0, constB1)) | (v101(constB1) <=> (~((~v102(constB1)) | (~v1(constB1))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB0, constB1)) | (v101(constB1) <=> (~((~v1(constB1)) | (~v102(constB1))))))),
% 6.95/4.89 inference(transitivity,[status(thm)],[3144, 3142])).
% 6.95/4.89 tff(3146,plain,
% 6.95/4.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB0, constB1)) | (v101(constB1) <=> (~((~v102(constB1)) | (~v1(constB1))))))),
% 6.95/4.89 inference(quant_inst,[status(thm)],[])).
% 6.95/4.89 tff(3147,plain,
% 6.95/4.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB0, constB1)) | (v101(constB1) <=> (~((~v1(constB1)) | (~v102(constB1)))))),
% 6.95/4.89 inference(modus_ponens,[status(thm)],[3146, 3145])).
% 6.95/4.89 tff(3148,plain,
% 6.95/4.89 (v101(constB1) <=> (~((~v1(constB1)) | (~v102(constB1))))),
% 6.95/4.89 inference(unit_resolution,[status(thm)],[3147, 3137, 465])).
% 6.95/4.89 tff(3149,plain,
% 6.95/4.89 ((~v1(constB1)) <=> (~v1(constB1))),
% 6.95/4.89 inference(rewrite,[status(thm)],[])).
% 6.95/4.89 tff(3150,axiom,(~v1(constB1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_1')).
% 6.95/4.89 tff(3151,plain,
% 6.95/4.89 (~v1(constB1)),
% 6.95/4.89 inference(modus_ponens,[status(thm)],[3150, 3149])).
% 6.95/4.89 tff(3152,plain,
% 6.95/4.89 (((~v1(constB1)) | (~v102(constB1))) | v1(constB1)),
% 6.95/4.89 inference(tautology,[status(thm)],[])).
% 6.95/4.89 tff(3153,plain,
% 6.95/4.89 ((~v1(constB1)) | (~v102(constB1))),
% 6.95/4.89 inference(unit_resolution,[status(thm)],[3152, 3151])).
% 6.95/4.89 tff(3154,plain,
% 6.95/4.89 ((~(v101(constB1) <=> (~((~v1(constB1)) | (~v102(constB1)))))) | (~v101(constB1)) | (~((~v1(constB1)) | (~v102(constB1))))),
% 6.95/4.89 inference(tautology,[status(thm)],[])).
% 6.95/4.89 tff(3155,plain,
% 6.95/4.89 ((~(v101(constB1) <=> (~((~v1(constB1)) | (~v102(constB1)))))) | (~v101(constB1))),
% 6.95/4.89 inference(unit_resolution,[status(thm)],[3154, 3153])).
% 6.95/4.89 tff(3156,plain,
% 6.95/4.89 (~v101(constB1)),
% 6.95/4.89 inference(unit_resolution,[status(thm)],[3155, 3148])).
% 6.95/4.89 tff(3157,plain,
% 6.95/4.89 (((~v101(constB1)) | (~v110(constB1))) | v101(constB1)),
% 6.95/4.89 inference(tautology,[status(thm)],[])).
% 6.95/4.89 tff(3158,plain,
% 6.95/4.89 ((~v101(constB1)) | (~v110(constB1))),
% 6.95/4.89 inference(unit_resolution,[status(thm)],[3157, 3156])).
% 6.95/4.89 tff(3159,plain,
% 6.95/4.89 ((~(v100(constB1) <=> (~((~v101(constB1)) | (~v110(constB1)))))) | (~v100(constB1)) | (~((~v101(constB1)) | (~v110(constB1))))),
% 6.95/4.89 inference(tautology,[status(thm)],[])).
% 6.95/4.89 tff(3160,plain,
% 6.95/4.89 (~v100(constB1)),
% 6.95/4.89 inference(unit_resolution,[status(thm)],[3159, 3158, 3141])).
% 6.95/4.89 tff(3161,plain,
% 6.95/4.89 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB1) | (~nextState(constB0, constB1)) | (~(((~v90(constB1, bitIndex0)) <=> v90(constB0, bitIndex0)) | ((~v90(constB1, bitIndex2)) <=> v90(constB0, bitIndex2)) | ((~v90(constB1, bitIndex1)) <=> v90(constB0, bitIndex1)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB1) | (~nextState(constB0, constB1)) | (~(((~v90(constB1, bitIndex0)) <=> v90(constB0, bitIndex0)) | ((~v90(constB1, bitIndex2)) <=> v90(constB0, bitIndex2)) | ((~v90(constB1, bitIndex1)) <=> v90(constB0, bitIndex1)))))),
% 6.95/4.89 inference(rewrite,[status(thm)],[])).
% 6.95/4.89 tff(3162,plain,
% 6.95/4.89 ((v100(constB1) | (~nextState(constB0, constB1)) | (~(((~v90(constB1, bitIndex2)) <=> v90(constB0, bitIndex2)) | ((~v90(constB1, bitIndex1)) <=> v90(constB0, bitIndex1)) | ((~v90(constB1, bitIndex0)) <=> v90(constB0, bitIndex0))))) <=> (v100(constB1) | (~nextState(constB0, constB1)) | (~(((~v90(constB1, bitIndex0)) <=> v90(constB0, bitIndex0)) | ((~v90(constB1, bitIndex2)) <=> v90(constB0, bitIndex2)) | ((~v90(constB1, bitIndex1)) <=> v90(constB0, bitIndex1)))))),
% 6.95/4.89 inference(rewrite,[status(thm)],[])).
% 6.95/4.89 tff(3163,plain,
% 6.95/4.89 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB1) | (~nextState(constB0, constB1)) | (~(((~v90(constB1, bitIndex2)) <=> v90(constB0, bitIndex2)) | ((~v90(constB1, bitIndex1)) <=> v90(constB0, bitIndex1)) | ((~v90(constB1, bitIndex0)) <=> v90(constB0, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB1) | (~nextState(constB0, constB1)) | (~(((~v90(constB1, bitIndex0)) <=> v90(constB0, bitIndex0)) | ((~v90(constB1, bitIndex2)) <=> v90(constB0, bitIndex2)) | ((~v90(constB1, bitIndex1)) <=> v90(constB0, bitIndex1))))))),
% 6.95/4.89 inference(monotonicity,[status(thm)],[3162])).
% 6.95/4.89 tff(3164,plain,
% 6.95/4.89 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB1) | (~nextState(constB0, constB1)) | (~(((~v90(constB1, bitIndex2)) <=> v90(constB0, bitIndex2)) | ((~v90(constB1, bitIndex1)) <=> v90(constB0, bitIndex1)) | ((~v90(constB1, bitIndex0)) <=> v90(constB0, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB1) | (~nextState(constB0, constB1)) | (~(((~v90(constB1, bitIndex0)) <=> v90(constB0, bitIndex0)) | ((~v90(constB1, bitIndex2)) <=> v90(constB0, bitIndex2)) | ((~v90(constB1, bitIndex1)) <=> v90(constB0, bitIndex1)))))),
% 6.95/4.89 inference(transitivity,[status(thm)],[3163, 3161])).
% 6.95/4.89 tff(3165,plain,
% 6.95/4.89 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB1) | (~nextState(constB0, constB1)) | (~(((~v90(constB1, bitIndex2)) <=> v90(constB0, bitIndex2)) | ((~v90(constB1, bitIndex1)) <=> v90(constB0, bitIndex1)) | ((~v90(constB1, bitIndex0)) <=> v90(constB0, bitIndex0)))))),
% 6.95/4.89 inference(quant_inst,[status(thm)],[])).
% 6.95/4.89 tff(3166,plain,
% 6.95/4.89 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB1) | (~nextState(constB0, constB1)) | (~(((~v90(constB1, bitIndex0)) <=> v90(constB0, bitIndex0)) | ((~v90(constB1, bitIndex2)) <=> v90(constB0, bitIndex2)) | ((~v90(constB1, bitIndex1)) <=> v90(constB0, bitIndex1))))),
% 6.95/4.89 inference(modus_ponens,[status(thm)],[3165, 3164])).
% 6.95/4.89 tff(3167,plain,
% 6.95/4.89 (v100(constB1) | (~(((~v90(constB1, bitIndex0)) <=> v90(constB0, bitIndex0)) | ((~v90(constB1, bitIndex2)) <=> v90(constB0, bitIndex2)) | ((~v90(constB1, bitIndex1)) <=> v90(constB0, bitIndex1))))),
% 6.95/4.89 inference(unit_resolution,[status(thm)],[3166, 3137, 494])).
% 6.95/4.89 tff(3168,plain,
% 6.95/4.89 (~(((~v90(constB1, bitIndex0)) <=> v90(constB0, bitIndex0)) | ((~v90(constB1, bitIndex2)) <=> v90(constB0, bitIndex2)) | ((~v90(constB1, bitIndex1)) <=> v90(constB0, bitIndex1)))),
% 6.95/4.89 inference(unit_resolution,[status(thm)],[3167, 3160])).
% 6.95/4.89 tff(3169,plain,
% 6.95/4.89 ((((~v90(constB1, bitIndex0)) <=> v90(constB0, bitIndex0)) | ((~v90(constB1, bitIndex2)) <=> v90(constB0, bitIndex2)) | ((~v90(constB1, bitIndex1)) <=> v90(constB0, bitIndex1))) | (~((~v90(constB1, bitIndex0)) <=> v90(constB0, bitIndex0)))),
% 6.95/4.89 inference(tautology,[status(thm)],[])).
% 6.95/4.89 tff(3170,plain,
% 6.95/4.89 (~((~v90(constB1, bitIndex0)) <=> v90(constB0, bitIndex0))),
% 6.95/4.89 inference(unit_resolution,[status(thm)],[3169, 3168])).
% 6.95/4.89 tff(3171,plain,
% 6.95/4.89 ((~v90(constB0, bitIndex0)) <=> (~v90(constB0, bitIndex0))),
% 6.95/4.89 inference(rewrite,[status(thm)],[])).
% 6.95/4.89 tff(3172,axiom,(~v90(constB0, bitIndex0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignmentInitValue_2')).
% 6.95/4.89 tff(3173,plain,
% 6.95/4.89 (~v90(constB0, bitIndex0)),
% 6.95/4.89 inference(modus_ponens,[status(thm)],[3172, 3171])).
% 6.95/4.89 tff(3174,plain,
% 6.95/4.89 (((~v90(constB1, bitIndex0)) <=> v90(constB0, bitIndex0)) | (~v90(constB1, bitIndex0)) | v90(constB0, bitIndex0)),
% 6.95/4.89 inference(tautology,[status(thm)],[])).
% 6.95/4.89 tff(3175,plain,
% 6.95/4.89 (((~v90(constB1, bitIndex0)) <=> v90(constB0, bitIndex0)) | (~v90(constB1, bitIndex0))),
% 6.95/4.89 inference(unit_resolution,[status(thm)],[3174, 3173])).
% 6.95/4.89 tff(3176,plain,
% 6.95/4.89 (~v90(constB1, bitIndex0)),
% 6.95/4.89 inference(unit_resolution,[status(thm)],[3175, 3170])).
% 6.95/4.89 tff(3177,plain,
% 6.95/4.89 ((((~v90(constB1, bitIndex0)) <=> v90(constB0, bitIndex0)) | ((~v90(constB1, bitIndex2)) <=> v90(constB0, bitIndex2)) | ((~v90(constB1, bitIndex1)) <=> v90(constB0, bitIndex1))) | (~((~v90(constB1, bitIndex2)) <=> v90(constB0, bitIndex2)))),
% 6.95/4.89 inference(tautology,[status(thm)],[])).
% 6.95/4.89 tff(3178,plain,
% 6.95/4.89 (~((~v90(constB1, bitIndex2)) <=> v90(constB0, bitIndex2))),
% 6.95/4.89 inference(unit_resolution,[status(thm)],[3177, 3168])).
% 6.95/4.89 tff(3179,plain,
% 6.95/4.89 ((~v90(constB0, bitIndex2)) <=> (~v90(constB0, bitIndex2))),
% 6.95/4.89 inference(rewrite,[status(thm)],[])).
% 6.95/4.89 tff(3180,axiom,(~v90(constB0, bitIndex2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignmentInitValue_4')).
% 6.95/4.89 tff(3181,plain,
% 6.95/4.89 (~v90(constB0, bitIndex2)),
% 6.95/4.89 inference(modus_ponens,[status(thm)],[3180, 3179])).
% 6.95/4.89 tff(3182,plain,
% 6.95/4.89 (((~v90(constB1, bitIndex2)) <=> v90(constB0, bitIndex2)) | (~v90(constB1, bitIndex2)) | v90(constB0, bitIndex2)),
% 6.95/4.89 inference(tautology,[status(thm)],[])).
% 6.95/4.89 tff(3183,plain,
% 6.95/4.89 (((~v90(constB1, bitIndex2)) <=> v90(constB0, bitIndex2)) | (~v90(constB1, bitIndex2))),
% 6.95/4.89 inference(unit_resolution,[status(thm)],[3182, 3181])).
% 6.95/4.89 tff(3184,plain,
% 6.95/4.89 (~v90(constB1, bitIndex2)),
% 6.95/4.89 inference(unit_resolution,[status(thm)],[3183, 3178])).
% 6.95/4.89 tff(3185,plain,
% 6.95/4.89 ((((~v90(constB1, bitIndex0)) <=> v90(constB0, bitIndex0)) | ((~v90(constB1, bitIndex2)) <=> v90(constB0, bitIndex2)) | ((~v90(constB1, bitIndex1)) <=> v90(constB0, bitIndex1))) | (~((~v90(constB1, bitIndex1)) <=> v90(constB0, bitIndex1)))),
% 6.95/4.89 inference(tautology,[status(thm)],[])).
% 6.95/4.89 tff(3186,plain,
% 6.95/4.89 (~((~v90(constB1, bitIndex1)) <=> v90(constB0, bitIndex1))),
% 6.95/4.89 inference(unit_resolution,[status(thm)],[3185, 3168])).
% 6.95/4.89 tff(3187,plain,
% 6.95/4.89 ((~v90(constB0, bitIndex1)) <=> (~v90(constB0, bitIndex1))),
% 6.95/4.89 inference(rewrite,[status(thm)],[])).
% 6.95/4.89 tff(3188,axiom,(~v90(constB0, bitIndex1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignmentInitValue_3')).
% 6.95/4.89 tff(3189,plain,
% 6.95/4.89 (~v90(constB0, bitIndex1)),
% 6.95/4.89 inference(modus_ponens,[status(thm)],[3188, 3187])).
% 6.95/4.89 tff(3190,plain,
% 6.95/4.89 (((~v90(constB1, bitIndex1)) <=> v90(constB0, bitIndex1)) | (~v90(constB1, bitIndex1)) | v90(constB0, bitIndex1)),
% 6.95/4.89 inference(tautology,[status(thm)],[])).
% 6.95/4.89 tff(3191,plain,
% 6.95/4.89 (((~v90(constB1, bitIndex1)) <=> v90(constB0, bitIndex1)) | (~v90(constB1, bitIndex1))),
% 6.95/4.89 inference(unit_resolution,[status(thm)],[3190, 3189])).
% 6.95/4.89 tff(3192,plain,
% 6.95/4.89 (~v90(constB1, bitIndex1)),
% 6.95/4.89 inference(unit_resolution,[status(thm)],[3191, 3186])).
% 6.95/4.89 tff(3193,plain,
% 6.95/4.89 ((~(v90(constB1, bitIndex0) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2))) | v90(constB1, bitIndex0) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2)),
% 6.95/4.89 inference(tautology,[status(thm)],[])).
% 6.95/4.89 tff(3194,plain,
% 6.95/4.89 (~(v90(constB1, bitIndex0) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2))),
% 6.95/4.89 inference(unit_resolution,[status(thm)],[3193, 3192, 3184, 3176])).
% 6.95/4.89 tff(3195,plain,
% 6.95/4.89 ((~(v119(constB1) <=> (~(v90(constB1, bitIndex0) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2))))) | v119(constB1) | (v90(constB1, bitIndex0) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2))),
% 6.95/4.89 inference(tautology,[status(thm)],[])).
% 6.95/4.89 tff(3196,plain,
% 6.95/4.89 ((~(v119(constB1) <=> (~(v90(constB1, bitIndex0) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2))))) | v119(constB1)),
% 6.95/4.89 inference(unit_resolution,[status(thm)],[3195, 3194])).
% 6.95/4.89 tff(3197,plain,
% 6.95/4.89 (v119(constB1)),
% 6.95/4.89 inference(unit_resolution,[status(thm)],[3196, 3134])).
% 6.95/4.89 tff(3198,plain,
% 6.95/4.89 (^[VarCurr: $i] : refl(((~v119(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2))))) <=> ((~v119(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2))))))),
% 6.95/4.89 inference(bind,[status(th)],[])).
% 6.95/4.89 tff(3199,plain,
% 6.95/4.89 (![VarCurr: $i] : ((~v119(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2))))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))),
% 6.95/4.89 inference(quant_intro,[status(thm)],[3198])).
% 6.95/4.89 tff(3200,plain,
% 6.95/4.89 (^[VarCurr: $i] : rewrite(((~v119(VarCurr)) | (v130(VarCurr, bitIndex2) & (~v130(VarCurr, bitIndex1)) & (~v130(VarCurr, bitIndex0)))) <=> ((~v119(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2))))))),
% 6.95/4.89 inference(bind,[status(th)],[])).
% 6.95/4.89 tff(3201,plain,
% 6.95/4.89 (![VarCurr: $i] : ((~v119(VarCurr)) | (v130(VarCurr, bitIndex2) & (~v130(VarCurr, bitIndex1)) & (~v130(VarCurr, bitIndex0)))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))),
% 6.95/4.89 inference(quant_intro,[status(thm)],[3200])).
% 6.95/4.89 tff(3202,plain,
% 6.95/4.89 (![VarCurr: $i] : ((~v119(VarCurr)) | (v130(VarCurr, bitIndex2) & (~v130(VarCurr, bitIndex1)) & (~v130(VarCurr, bitIndex0)))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | (v130(VarCurr, bitIndex2) & (~v130(VarCurr, bitIndex1)) & (~v130(VarCurr, bitIndex0))))),
% 6.95/4.89 inference(rewrite,[status(thm)],[])).
% 6.95/4.89 tff(3203,plain,
% 6.95/4.89 (^[VarCurr: $i] : trans(monotonicity(trans(monotonicity(rewrite(((v130(VarCurr, bitIndex2) <=> $true) & (v130(VarCurr, bitIndex1) <=> $false)) <=> (v130(VarCurr, bitIndex2) & (~v130(VarCurr, bitIndex1)))), rewrite((v130(VarCurr, bitIndex0) <=> $false) <=> (~v130(VarCurr, bitIndex0))), ((((v130(VarCurr, bitIndex2) <=> $true) & (v130(VarCurr, bitIndex1) <=> $false)) & (v130(VarCurr, bitIndex0) <=> $false)) <=> ((v130(VarCurr, bitIndex2) & (~v130(VarCurr, bitIndex1))) & (~v130(VarCurr, bitIndex0))))), rewrite(((v130(VarCurr, bitIndex2) & (~v130(VarCurr, bitIndex1))) & (~v130(VarCurr, bitIndex0))) <=> (v130(VarCurr, bitIndex2) & (~v130(VarCurr, bitIndex1)) & (~v130(VarCurr, bitIndex0)))), ((((v130(VarCurr, bitIndex2) <=> $true) & (v130(VarCurr, bitIndex1) <=> $false)) & (v130(VarCurr, bitIndex0) <=> $false)) <=> (v130(VarCurr, bitIndex2) & (~v130(VarCurr, bitIndex1)) & (~v130(VarCurr, bitIndex0))))), ((v119(VarCurr) => (((v130(VarCurr, bitIndex2) <=> $true) & (v130(VarCurr, bitIndex1) <=> $false)) & (v130(VarCurr, bitIndex0) <=> $false))) <=> (v119(VarCurr) => (v130(VarCurr, bitIndex2) & (~v130(VarCurr, bitIndex1)) & (~v130(VarCurr, bitIndex0)))))), rewrite((v119(VarCurr) => (v130(VarCurr, bitIndex2) & (~v130(VarCurr, bitIndex1)) & (~v130(VarCurr, bitIndex0)))) <=> ((~v119(VarCurr)) | (v130(VarCurr, bitIndex2) & (~v130(VarCurr, bitIndex1)) & (~v130(VarCurr, bitIndex0))))), ((v119(VarCurr) => (((v130(VarCurr, bitIndex2) <=> $true) & (v130(VarCurr, bitIndex1) <=> $false)) & (v130(VarCurr, bitIndex0) <=> $false))) <=> ((~v119(VarCurr)) | (v130(VarCurr, bitIndex2) & (~v130(VarCurr, bitIndex1)) & (~v130(VarCurr, bitIndex0))))))),
% 6.95/4.89 inference(bind,[status(th)],[])).
% 6.95/4.89 tff(3204,plain,
% 6.95/4.89 (![VarCurr: $i] : (v119(VarCurr) => (((v130(VarCurr, bitIndex2) <=> $true) & (v130(VarCurr, bitIndex1) <=> $false)) & (v130(VarCurr, bitIndex0) <=> $false))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | (v130(VarCurr, bitIndex2) & (~v130(VarCurr, bitIndex1)) & (~v130(VarCurr, bitIndex0))))),
% 6.95/4.89 inference(quant_intro,[status(thm)],[3203])).
% 6.95/4.89 tff(3205,axiom,(![VarCurr: $i] : (v119(VarCurr) => (((v130(VarCurr, bitIndex2) <=> $true) & (v130(VarCurr, bitIndex1) <=> $false)) & (v130(VarCurr, bitIndex0) <=> $false)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0')).
% 6.95/4.89 tff(3206,plain,
% 6.95/4.89 (![VarCurr: $i] : ((~v119(VarCurr)) | (v130(VarCurr, bitIndex2) & (~v130(VarCurr, bitIndex1)) & (~v130(VarCurr, bitIndex0))))),
% 6.95/4.89 inference(modus_ponens,[status(thm)],[3205, 3204])).
% 6.95/4.89 tff(3207,plain,
% 6.95/4.89 (![VarCurr: $i] : ((~v119(VarCurr)) | (v130(VarCurr, bitIndex2) & (~v130(VarCurr, bitIndex1)) & (~v130(VarCurr, bitIndex0))))),
% 6.95/4.89 inference(modus_ponens,[status(thm)],[3206, 3202])).
% 6.95/4.89 tff(3208,plain,(
% 6.95/4.89 ![VarCurr: $i] : ((~v119(VarCurr)) | (v130(VarCurr, bitIndex2) & (~v130(VarCurr, bitIndex1)) & (~v130(VarCurr, bitIndex0))))),
% 6.95/4.89 inference(skolemize,[status(sab)],[3207])).
% 6.95/4.89 tff(3209,plain,
% 6.95/4.89 (![VarCurr: $i] : ((~v119(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))),
% 6.95/4.89 inference(modus_ponens,[status(thm)],[3208, 3201])).
% 6.95/4.89 tff(3210,plain,
% 6.95/4.89 (![VarCurr: $i] : ((~v119(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))),
% 6.95/4.89 inference(modus_ponens,[status(thm)],[3209, 3199])).
% 6.95/4.89 tff(3211,plain,
% 6.95/4.89 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v119(constB1)) | (~(v130(constB1, bitIndex1) | v130(constB1, bitIndex0) | (~v130(constB1, bitIndex2)))))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | (~v119(constB1)) | (~(v130(constB1, bitIndex1) | v130(constB1, bitIndex0) | (~v130(constB1, bitIndex2)))))),
% 6.95/4.89 inference(rewrite,[status(thm)],[])).
% 6.95/4.89 tff(3212,plain,
% 6.95/4.89 (((~v119(constB1)) | (~(v130(constB1, bitIndex0) | v130(constB1, bitIndex1) | (~v130(constB1, bitIndex2))))) <=> ((~v119(constB1)) | (~(v130(constB1, bitIndex1) | v130(constB1, bitIndex0) | (~v130(constB1, bitIndex2)))))),
% 6.95/4.89 inference(rewrite,[status(thm)],[])).
% 6.95/4.89 tff(3213,plain,
% 6.95/4.89 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v119(constB1)) | (~(v130(constB1, bitIndex0) | v130(constB1, bitIndex1) | (~v130(constB1, bitIndex2)))))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v119(constB1)) | (~(v130(constB1, bitIndex1) | v130(constB1, bitIndex0) | (~v130(constB1, bitIndex2))))))),
% 6.95/4.89 inference(monotonicity,[status(thm)],[3212])).
% 6.95/4.89 tff(3214,plain,
% 6.95/4.89 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v119(constB1)) | (~(v130(constB1, bitIndex0) | v130(constB1, bitIndex1) | (~v130(constB1, bitIndex2)))))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | (~v119(constB1)) | (~(v130(constB1, bitIndex1) | v130(constB1, bitIndex0) | (~v130(constB1, bitIndex2)))))),
% 6.95/4.89 inference(transitivity,[status(thm)],[3213, 3211])).
% 6.95/4.89 tff(3215,plain,
% 6.95/4.89 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v119(constB1)) | (~(v130(constB1, bitIndex0) | v130(constB1, bitIndex1) | (~v130(constB1, bitIndex2)))))),
% 6.95/4.89 inference(quant_inst,[status(thm)],[])).
% 6.95/4.89 tff(3216,plain,
% 6.95/4.89 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | (~v119(constB1)) | (~(v130(constB1, bitIndex1) | v130(constB1, bitIndex0) | (~v130(constB1, bitIndex2))))),
% 6.95/4.89 inference(modus_ponens,[status(thm)],[3215, 3214])).
% 6.95/4.89 tff(3217,plain,
% 6.95/4.89 (~(v130(constB1, bitIndex1) | v130(constB1, bitIndex0) | (~v130(constB1, bitIndex2)))),
% 6.95/4.89 inference(unit_resolution,[status(thm)],[3216, 3210, 3197])).
% 6.95/4.89 tff(3218,plain,
% 6.95/4.89 ((v130(constB1, bitIndex1) | v130(constB1, bitIndex0) | (~v130(constB1, bitIndex2))) | v130(constB1, bitIndex2)),
% 6.95/4.89 inference(tautology,[status(thm)],[])).
% 6.95/4.89 tff(3219,plain,
% 6.95/4.89 (v130(constB1, bitIndex2)),
% 6.95/4.89 inference(unit_resolution,[status(thm)],[3218, 3217])).
% 6.95/4.89 tff(3220,plain,
% 6.95/4.89 (((~v127(constB1, bitIndex2)) <=> v130(constB1, bitIndex2)) | v127(constB1, bitIndex2) | (~v130(constB1, bitIndex2))),
% 6.95/4.89 inference(tautology,[status(thm)],[])).
% 6.95/4.89 tff(3221,plain,
% 6.95/4.89 (v127(constB1, bitIndex2)),
% 6.95/4.89 inference(unit_resolution,[status(thm)],[3220, 3219, 3132])).
% 6.95/4.89 tff(3222,plain,
% 6.95/4.89 (((~v129(constB2, bitIndex2)) <=> v127(constB1, bitIndex2)) | v129(constB2, bitIndex2) | (~v127(constB1, bitIndex2))),
% 6.95/4.89 inference(tautology,[status(thm)],[])).
% 6.95/4.89 tff(3223,plain,
% 6.95/4.89 (v129(constB2, bitIndex2)),
% 6.95/4.89 inference(unit_resolution,[status(thm)],[3222, 3221, 3118])).
% 6.95/4.89 tff(3224,plain,
% 6.95/4.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB1, constB2)) | (v100(constB2) <=> (~((~v101(constB2)) | (~v110(constB2))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB1, constB2)) | (v100(constB2) <=> (~((~v101(constB2)) | (~v110(constB2))))))),
% 6.95/4.89 inference(rewrite,[status(thm)],[])).
% 6.95/4.89 tff(3225,plain,
% 6.95/4.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB1, constB2)) | (v100(constB2) <=> (~((~v101(constB2)) | (~v110(constB2))))))),
% 6.95/4.89 inference(quant_inst,[status(thm)],[])).
% 6.95/4.89 tff(3226,plain,
% 6.95/4.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB1, constB2)) | (v100(constB2) <=> (~((~v101(constB2)) | (~v110(constB2)))))),
% 6.95/4.89 inference(modus_ponens,[status(thm)],[3225, 3224])).
% 6.95/4.89 tff(3227,plain,
% 6.95/4.89 (v100(constB2) <=> (~((~v101(constB2)) | (~v110(constB2))))),
% 6.95/4.89 inference(unit_resolution,[status(thm)],[3226, 3112, 445])).
% 6.95/4.89 tff(3228,plain,
% 6.95/4.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB1, constB2)) | (v101(constB2) <=> (~((~v1(constB2)) | (~v102(constB2))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB1, constB2)) | (v101(constB2) <=> (~((~v1(constB2)) | (~v102(constB2))))))),
% 6.95/4.89 inference(rewrite,[status(thm)],[])).
% 6.95/4.89 tff(3229,plain,
% 6.95/4.89 (((~nextState(constB1, constB2)) | (v101(constB2) <=> (~((~v102(constB2)) | (~v1(constB2)))))) <=> ((~nextState(constB1, constB2)) | (v101(constB2) <=> (~((~v1(constB2)) | (~v102(constB2))))))),
% 6.95/4.89 inference(rewrite,[status(thm)],[])).
% 6.95/4.89 tff(3230,plain,
% 6.95/4.89 (((~![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) <=> (~((~v1(constB2)) | (~v102(constB2)))))))),
% 6.95/4.89 inference(monotonicity,[status(thm)],[3229])).
% 6.95/4.89 tff(3231,plain,
% 6.95/4.89 (((~![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) <=> (~((~v1(constB2)) | (~v102(constB2))))))),
% 6.95/4.89 inference(transitivity,[status(thm)],[3230, 3228])).
% 6.95/4.89 tff(3232,plain,
% 6.95/4.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB1, constB2)) | (v101(constB2) <=> (~((~v102(constB2)) | (~v1(constB2))))))),
% 6.95/4.89 inference(quant_inst,[status(thm)],[])).
% 6.95/4.89 tff(3233,plain,
% 6.95/4.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB1, constB2)) | (v101(constB2) <=> (~((~v1(constB2)) | (~v102(constB2)))))),
% 6.95/4.89 inference(modus_ponens,[status(thm)],[3232, 3231])).
% 6.95/4.89 tff(3234,plain,
% 6.95/4.89 (v101(constB2) <=> (~((~v1(constB2)) | (~v102(constB2))))),
% 6.95/4.89 inference(unit_resolution,[status(thm)],[3233, 3112, 465])).
% 6.95/4.89 tff(3235,plain,
% 6.95/4.89 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext))))),
% 6.95/4.89 inference(bind,[status(th)],[])).
% 6.95/4.89 tff(3236,plain,
% 6.95/4.89 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))),
% 6.95/4.90 inference(quant_intro,[status(thm)],[3235])).
% 6.95/4.90 tff(3237,plain,
% 6.95/4.90 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))),
% 6.95/4.90 inference(rewrite,[status(thm)],[])).
% 6.95/4.90 tff(3238,plain,
% 6.95/4.90 (^[VarNext: $i, VarCurr: $i] : rewrite((nextState(VarCurr, VarNext) => ((~v102(VarNext)) <=> v104(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext))))),
% 6.95/4.90 inference(bind,[status(th)],[])).
% 6.95/4.90 tff(3239,plain,
% 6.95/4.90 (![VarNext: $i, VarCurr: $i] : (nextState(VarCurr, VarNext) => ((~v102(VarNext)) <=> v104(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))),
% 6.95/4.90 inference(quant_intro,[status(thm)],[3238])).
% 6.95/4.90 tff(3240,axiom,(![VarNext: $i, VarCurr: $i] : (nextState(VarCurr, VarNext) => ((~v102(VarNext)) <=> v104(VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeUnaryOperator_12')).
% 6.95/4.90 tff(3241,plain,
% 6.95/4.90 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))),
% 6.95/4.90 inference(modus_ponens,[status(thm)],[3240, 3239])).
% 6.95/4.90 tff(3242,plain,
% 6.95/4.90 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))),
% 6.95/4.90 inference(modus_ponens,[status(thm)],[3241, 3237])).
% 6.95/4.90 tff(3243,plain,(
% 6.95/4.90 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))),
% 6.95/4.90 inference(skolemize,[status(sab)],[3242])).
% 6.95/4.90 tff(3244,plain,
% 6.95/4.90 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))),
% 6.95/4.90 inference(modus_ponens,[status(thm)],[3243, 3236])).
% 6.95/4.90 tff(3245,plain,
% 6.95/4.90 (((~![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)))),
% 6.95/4.90 inference(rewrite,[status(thm)],[])).
% 6.95/4.90 tff(3246,plain,
% 6.95/4.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB1, constB2)) | ((~v102(constB2)) <=> v104(constB2)))),
% 6.95/4.90 inference(quant_inst,[status(thm)],[])).
% 6.95/4.90 tff(3247,plain,
% 6.95/4.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB1, constB2)) | ((~v102(constB2)) <=> v104(constB2))),
% 6.95/4.90 inference(modus_ponens,[status(thm)],[3246, 3245])).
% 6.95/4.90 tff(3248,plain,
% 6.95/4.90 ((~v102(constB2)) <=> v104(constB2)),
% 6.95/4.90 inference(unit_resolution,[status(thm)],[3247, 3112, 3244])).
% 6.95/4.90 tff(3249,plain,
% 6.95/4.90 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr))))),
% 6.95/4.90 inference(bind,[status(th)],[])).
% 6.95/4.90 tff(3250,plain,
% 6.95/4.90 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))),
% 6.95/4.90 inference(quant_intro,[status(thm)],[3249])).
% 6.95/4.90 tff(3251,plain,
% 6.95/4.90 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))),
% 6.95/4.90 inference(rewrite,[status(thm)],[])).
% 6.95/4.90 tff(3252,plain,
% 6.95/4.90 (^[VarNext: $i, VarCurr: $i] : rewrite((nextState(VarCurr, VarNext) => (v104(VarNext) <=> v1(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr))))),
% 6.95/4.90 inference(bind,[status(th)],[])).
% 6.95/4.90 tff(3253,plain,
% 6.95/4.90 (![VarNext: $i, VarCurr: $i] : (nextState(VarCurr, VarNext) => (v104(VarNext) <=> v1(VarCurr))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))),
% 6.95/4.90 inference(quant_intro,[status(thm)],[3252])).
% 6.95/4.90 tff(3254,axiom,(![VarNext: $i, VarCurr: $i] : (nextState(VarCurr, VarNext) => (v104(VarNext) <=> v1(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_5')).
% 6.95/4.90 tff(3255,plain,
% 6.95/4.90 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))),
% 6.95/4.90 inference(modus_ponens,[status(thm)],[3254, 3253])).
% 6.95/4.90 tff(3256,plain,
% 6.95/4.90 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))),
% 6.95/4.90 inference(modus_ponens,[status(thm)],[3255, 3251])).
% 6.95/4.90 tff(3257,plain,(
% 6.95/4.90 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))),
% 6.95/4.90 inference(skolemize,[status(sab)],[3256])).
% 6.95/4.90 tff(3258,plain,
% 6.95/4.90 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))),
% 6.95/4.90 inference(modus_ponens,[status(thm)],[3257, 3250])).
% 6.95/4.90 tff(3259,plain,
% 6.95/4.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB1, constB2)) | (v104(constB2) <=> v1(constB1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB1, constB2)) | (v104(constB2) <=> v1(constB1)))),
% 6.95/4.90 inference(rewrite,[status(thm)],[])).
% 6.95/4.90 tff(3260,plain,
% 6.95/4.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB1, constB2)) | (v104(constB2) <=> v1(constB1)))),
% 6.95/4.90 inference(quant_inst,[status(thm)],[])).
% 6.95/4.90 tff(3261,plain,
% 6.95/4.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB1, constB2)) | (v104(constB2) <=> v1(constB1))),
% 6.95/4.90 inference(modus_ponens,[status(thm)],[3260, 3259])).
% 6.95/4.90 tff(3262,plain,
% 6.95/4.90 (v104(constB2) <=> v1(constB1)),
% 6.95/4.90 inference(unit_resolution,[status(thm)],[3261, 3112, 3258])).
% 6.95/4.90 tff(3263,plain,
% 6.95/4.90 ((~(v104(constB2) <=> v1(constB1))) | (~v104(constB2)) | v1(constB1)),
% 6.95/4.90 inference(tautology,[status(thm)],[])).
% 6.95/4.90 tff(3264,plain,
% 6.95/4.90 ((~(v104(constB2) <=> v1(constB1))) | (~v104(constB2))),
% 6.95/4.90 inference(unit_resolution,[status(thm)],[3263, 3151])).
% 6.95/4.90 tff(3265,plain,
% 6.95/4.90 (~v104(constB2)),
% 6.95/4.90 inference(unit_resolution,[status(thm)],[3264, 3262])).
% 6.95/4.90 tff(3266,plain,
% 6.95/4.90 ((~((~v102(constB2)) <=> v104(constB2))) | v102(constB2) | v104(constB2)),
% 6.95/4.90 inference(tautology,[status(thm)],[])).
% 6.95/4.90 tff(3267,plain,
% 6.95/4.90 (v102(constB2)),
% 6.95/4.90 inference(unit_resolution,[status(thm)],[3266, 3265, 3248])).
% 6.95/4.90 tff(3268,plain,
% 6.95/4.90 (v1(constB2) <=> v1(constB2)),
% 6.95/4.90 inference(rewrite,[status(thm)],[])).
% 6.95/4.90 tff(3269,axiom,(v1(constB2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_2')).
% 6.95/4.90 tff(3270,plain,
% 6.95/4.90 (v1(constB2)),
% 6.95/4.90 inference(modus_ponens,[status(thm)],[3269, 3268])).
% 6.95/4.90 tff(3271,plain,
% 6.95/4.90 ((~((~v1(constB2)) | (~v102(constB2)))) | (~v1(constB2)) | (~v102(constB2))),
% 6.95/4.90 inference(tautology,[status(thm)],[])).
% 6.95/4.90 tff(3272,plain,
% 6.95/4.90 ((~((~v1(constB2)) | (~v102(constB2)))) | (~v102(constB2))),
% 6.95/4.90 inference(unit_resolution,[status(thm)],[3271, 3270])).
% 6.95/4.90 tff(3273,plain,
% 6.95/4.90 (~((~v1(constB2)) | (~v102(constB2)))),
% 6.95/4.90 inference(unit_resolution,[status(thm)],[3272, 3267])).
% 6.95/4.90 tff(3274,plain,
% 6.95/4.90 ((~(v101(constB2) <=> (~((~v1(constB2)) | (~v102(constB2)))))) | v101(constB2) | ((~v1(constB2)) | (~v102(constB2)))),
% 6.95/4.90 inference(tautology,[status(thm)],[])).
% 6.95/4.90 tff(3275,plain,
% 6.95/4.90 (v101(constB2)),
% 6.95/4.90 inference(unit_resolution,[status(thm)],[3274, 3273, 3234])).
% 6.95/4.90 tff(3276,plain,
% 6.95/4.90 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr))))),
% 6.95/4.90 inference(bind,[status(th)],[])).
% 6.95/4.90 tff(3277,plain,
% 6.95/4.90 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))),
% 6.95/4.90 inference(quant_intro,[status(thm)],[3276])).
% 6.95/4.90 tff(3278,plain,
% 6.95/4.90 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))),
% 6.95/4.90 inference(rewrite,[status(thm)],[])).
% 6.95/4.90 tff(3279,plain,
% 6.95/4.90 (^[VarNext: $i, VarCurr: $i] : rewrite((nextState(VarCurr, VarNext) => (v110(VarNext) <=> v108(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr))))),
% 6.95/4.90 inference(bind,[status(th)],[])).
% 6.95/4.90 tff(3280,plain,
% 6.95/4.90 (![VarNext: $i, VarCurr: $i] : (nextState(VarCurr, VarNext) => (v110(VarNext) <=> v108(VarCurr))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))),
% 6.95/4.90 inference(quant_intro,[status(thm)],[3279])).
% 6.95/4.90 tff(3281,axiom,(![VarNext: $i, VarCurr: $i] : (nextState(VarCurr, VarNext) => (v110(VarNext) <=> v108(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_6')).
% 6.95/4.90 tff(3282,plain,
% 6.95/4.90 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))),
% 6.95/4.90 inference(modus_ponens,[status(thm)],[3281, 3280])).
% 6.95/4.90 tff(3283,plain,
% 6.95/4.90 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))),
% 6.95/4.90 inference(modus_ponens,[status(thm)],[3282, 3278])).
% 6.95/4.90 tff(3284,plain,(
% 6.95/4.90 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))),
% 6.95/4.90 inference(skolemize,[status(sab)],[3283])).
% 6.95/4.90 tff(3285,plain,
% 6.95/4.90 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))),
% 6.95/4.90 inference(modus_ponens,[status(thm)],[3284, 3277])).
% 6.95/4.90 tff(3286,plain,
% 6.95/4.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB1, constB2)) | (v110(constB2) <=> v108(constB1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB1, constB2)) | (v110(constB2) <=> v108(constB1)))),
% 6.95/4.90 inference(rewrite,[status(thm)],[])).
% 6.95/4.90 tff(3287,plain,
% 6.95/4.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB1, constB2)) | (v110(constB2) <=> v108(constB1)))),
% 6.95/4.90 inference(quant_inst,[status(thm)],[])).
% 6.95/4.90 tff(3288,plain,
% 6.95/4.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB1, constB2)) | (v110(constB2) <=> v108(constB1))),
% 6.95/4.90 inference(modus_ponens,[status(thm)],[3287, 3286])).
% 6.95/4.90 tff(3289,plain,
% 6.95/4.90 (v110(constB2) <=> v108(constB1)),
% 6.95/4.90 inference(unit_resolution,[status(thm)],[3288, 3112, 3285])).
% 6.95/4.90 tff(3290,plain,
% 6.95/4.90 (^[VarCurr: $i] : refl((v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr))) <=> (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr))))),
% 6.95/4.90 inference(bind,[status(th)],[])).
% 6.95/4.90 tff(3291,plain,
% 6.95/4.90 (![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr))) <=> ![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))),
% 6.95/4.90 inference(quant_intro,[status(thm)],[3290])).
% 6.95/4.90 tff(3292,plain,
% 6.95/4.90 (![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr))) <=> ![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))),
% 6.95/4.90 inference(rewrite,[status(thm)],[])).
% 6.95/4.90 tff(3293,axiom,(![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_26')).
% 6.95/4.90 tff(3294,plain,
% 6.95/4.90 (![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))),
% 6.95/4.90 inference(modus_ponens,[status(thm)],[3293, 3292])).
% 6.95/4.90 tff(3295,plain,(
% 6.95/4.90 ![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))),
% 6.95/4.90 inference(skolemize,[status(sab)],[3294])).
% 6.95/4.90 tff(3296,plain,
% 6.95/4.90 (![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))),
% 6.95/4.90 inference(modus_ponens,[status(thm)],[3295, 3291])).
% 6.95/4.90 tff(3297,plain,
% 6.95/4.90 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB1) <=> (v111(constB1) | v112(constB1)))),
% 6.95/4.90 inference(quant_inst,[status(thm)],[])).
% 6.95/4.90 tff(3298,plain,
% 6.95/4.90 (v108(constB1) <=> (v111(constB1) | v112(constB1))),
% 6.95/4.90 inference(unit_resolution,[status(thm)],[3297, 3296])).
% 6.95/4.90 tff(3299,plain,
% 6.95/4.90 (^[VarCurr: $i] : refl((v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr))))) <=> (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr))))))),
% 6.95/4.90 inference(bind,[status(th)],[])).
% 6.95/4.90 tff(3300,plain,
% 6.95/4.90 (![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr))))) <=> ![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))),
% 6.95/4.90 inference(quant_intro,[status(thm)],[3299])).
% 6.95/4.90 tff(3301,plain,
% 6.95/4.90 (^[VarCurr: $i] : rewrite((v112(VarCurr) <=> (v113(VarCurr) & v126(VarCurr))) <=> (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr))))))),
% 6.95/4.90 inference(bind,[status(th)],[])).
% 6.95/4.90 tff(3302,plain,
% 6.95/4.90 (![VarCurr: $i] : (v112(VarCurr) <=> (v113(VarCurr) & v126(VarCurr))) <=> ![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))),
% 6.95/4.90 inference(quant_intro,[status(thm)],[3301])).
% 6.95/4.90 tff(3303,plain,
% 6.95/4.90 (![VarCurr: $i] : (v112(VarCurr) <=> (v113(VarCurr) & v126(VarCurr))) <=> ![VarCurr: $i] : (v112(VarCurr) <=> (v113(VarCurr) & v126(VarCurr)))),
% 6.95/4.90 inference(rewrite,[status(thm)],[])).
% 6.95/4.90 tff(3304,axiom,(![VarCurr: $i] : (v112(VarCurr) <=> (v113(VarCurr) & v126(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_25')).
% 6.95/4.90 tff(3305,plain,
% 6.95/4.90 (![VarCurr: $i] : (v112(VarCurr) <=> (v113(VarCurr) & v126(VarCurr)))),
% 6.95/4.90 inference(modus_ponens,[status(thm)],[3304, 3303])).
% 6.95/4.90 tff(3306,plain,(
% 6.95/4.90 ![VarCurr: $i] : (v112(VarCurr) <=> (v113(VarCurr) & v126(VarCurr)))),
% 6.95/4.90 inference(skolemize,[status(sab)],[3305])).
% 6.95/4.90 tff(3307,plain,
% 6.95/4.90 (![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))),
% 6.95/4.90 inference(modus_ponens,[status(thm)],[3306, 3302])).
% 6.95/4.90 tff(3308,plain,
% 6.95/4.90 (![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))),
% 6.95/4.90 inference(modus_ponens,[status(thm)],[3307, 3300])).
% 6.95/4.90 tff(3309,plain,
% 6.95/4.90 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB1) <=> (~((~v113(constB1)) | (~v126(constB1)))))),
% 6.95/4.90 inference(quant_inst,[status(thm)],[])).
% 6.95/4.90 tff(3310,plain,
% 6.95/4.90 (v112(constB1) <=> (~((~v113(constB1)) | (~v126(constB1))))),
% 6.95/4.90 inference(unit_resolution,[status(thm)],[3309, 3308])).
% 6.95/4.90 tff(3311,plain,
% 6.95/4.90 (^[VarCurr: $i] : refl((v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr))) <=> (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr))))),
% 6.95/4.90 inference(bind,[status(th)],[])).
% 6.95/4.90 tff(3312,plain,
% 6.95/4.90 (![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr))) <=> ![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))),
% 6.95/4.90 inference(quant_intro,[status(thm)],[3311])).
% 6.95/4.90 tff(3313,plain,
% 6.95/4.90 (![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr))) <=> ![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))),
% 6.95/4.90 inference(rewrite,[status(thm)],[])).
% 6.95/4.90 tff(3314,axiom,(![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_24')).
% 6.95/4.90 tff(3315,plain,
% 6.95/4.90 (![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))),
% 6.95/4.90 inference(modus_ponens,[status(thm)],[3314, 3313])).
% 6.95/4.90 tff(3316,plain,(
% 6.95/4.90 ![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))),
% 6.95/4.90 inference(skolemize,[status(sab)],[3315])).
% 6.95/4.90 tff(3317,plain,
% 6.95/4.90 (![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))),
% 6.95/4.90 inference(modus_ponens,[status(thm)],[3316, 3312])).
% 6.95/4.90 tff(3318,plain,
% 6.95/4.90 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB1) <=> (v114(constB1) | v125(constB1)))),
% 6.95/4.90 inference(quant_inst,[status(thm)],[])).
% 6.95/4.90 tff(3319,plain,
% 6.95/4.90 (v113(constB1) <=> (v114(constB1) | v125(constB1))),
% 6.95/4.90 inference(unit_resolution,[status(thm)],[3318, 3317])).
% 6.95/4.90 tff(3320,plain,
% 6.95/4.90 (^[VarCurr: $i] : refl((v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr))) <=> (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr))))),
% 6.95/4.90 inference(bind,[status(th)],[])).
% 6.95/4.90 tff(3321,plain,
% 6.95/4.90 (![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr))) <=> ![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))),
% 6.95/4.90 inference(quant_intro,[status(thm)],[3320])).
% 6.95/4.90 tff(3322,plain,
% 6.95/4.90 (![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr))) <=> ![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))),
% 6.95/4.90 inference(rewrite,[status(thm)],[])).
% 6.95/4.90 tff(3323,axiom,(![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_23')).
% 6.95/4.90 tff(3324,plain,
% 6.95/4.90 (![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))),
% 6.95/4.90 inference(modus_ponens,[status(thm)],[3323, 3322])).
% 6.95/4.90 tff(3325,plain,(
% 6.95/4.90 ![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))),
% 6.95/4.90 inference(skolemize,[status(sab)],[3324])).
% 6.95/4.90 tff(3326,plain,
% 6.95/4.90 (![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))),
% 6.95/4.90 inference(modus_ponens,[status(thm)],[3325, 3321])).
% 6.95/4.90 tff(3327,plain,
% 6.95/4.90 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB1) <=> (v115(constB1) | v124(constB1)))),
% 6.95/4.90 inference(quant_inst,[status(thm)],[])).
% 6.95/4.90 tff(3328,plain,
% 6.95/4.90 (v114(constB1) <=> (v115(constB1) | v124(constB1))),
% 6.95/4.90 inference(unit_resolution,[status(thm)],[3327, 3326])).
% 6.95/4.90 tff(3329,plain,
% 6.95/4.90 (^[VarCurr: $i] : refl((v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr))) <=> (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr))))),
% 6.95/4.90 inference(bind,[status(th)],[])).
% 6.95/4.90 tff(3330,plain,
% 6.95/4.90 (![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr))) <=> ![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))),
% 6.95/4.90 inference(quant_intro,[status(thm)],[3329])).
% 6.95/4.90 tff(3331,plain,
% 6.95/4.90 (![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr))) <=> ![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))),
% 6.95/4.90 inference(rewrite,[status(thm)],[])).
% 6.95/4.90 tff(3332,axiom,(![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_22')).
% 6.95/4.90 tff(3333,plain,
% 6.95/4.90 (![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))),
% 6.95/4.90 inference(modus_ponens,[status(thm)],[3332, 3331])).
% 6.95/4.90 tff(3334,plain,(
% 6.95/4.90 ![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))),
% 6.95/4.90 inference(skolemize,[status(sab)],[3333])).
% 6.95/4.90 tff(3335,plain,
% 6.95/4.90 (![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))),
% 6.95/4.90 inference(modus_ponens,[status(thm)],[3334, 3330])).
% 6.95/4.90 tff(3336,plain,
% 6.95/4.90 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB1) <=> (v116(constB1) | v123(constB1)))),
% 6.95/4.90 inference(quant_inst,[status(thm)],[])).
% 6.95/4.90 tff(3337,plain,
% 6.95/4.90 (v115(constB1) <=> (v116(constB1) | v123(constB1))),
% 6.95/4.90 inference(unit_resolution,[status(thm)],[3336, 3335])).
% 6.95/4.90 tff(3338,plain,
% 6.95/4.90 (^[VarCurr: $i] : refl((v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr))) <=> (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr))))),
% 6.95/4.90 inference(bind,[status(th)],[])).
% 6.95/4.90 tff(3339,plain,
% 6.95/4.90 (![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr))) <=> ![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))),
% 6.95/4.90 inference(quant_intro,[status(thm)],[3338])).
% 6.95/4.90 tff(3340,plain,
% 6.95/4.90 (![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr))) <=> ![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))),
% 6.95/4.90 inference(rewrite,[status(thm)],[])).
% 6.95/4.90 tff(3341,axiom,(![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_21')).
% 6.95/4.90 tff(3342,plain,
% 6.95/4.90 (![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))),
% 6.95/4.90 inference(modus_ponens,[status(thm)],[3341, 3340])).
% 6.95/4.90 tff(3343,plain,(
% 6.95/4.90 ![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))),
% 6.95/4.90 inference(skolemize,[status(sab)],[3342])).
% 6.95/4.90 tff(3344,plain,
% 6.95/4.90 (![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))),
% 6.95/4.90 inference(modus_ponens,[status(thm)],[3343, 3339])).
% 6.95/4.90 tff(3345,plain,
% 6.95/4.90 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB1) <=> (v117(constB1) | v122(constB1)))),
% 6.95/4.90 inference(quant_inst,[status(thm)],[])).
% 6.95/4.90 tff(3346,plain,
% 6.95/4.90 (v116(constB1) <=> (v117(constB1) | v122(constB1))),
% 6.95/4.90 inference(unit_resolution,[status(thm)],[3345, 3344])).
% 6.95/4.90 tff(3347,plain,
% 6.95/4.90 (^[VarCurr: $i] : refl((v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr))) <=> (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr))))),
% 6.95/4.90 inference(bind,[status(th)],[])).
% 6.95/4.90 tff(3348,plain,
% 6.95/4.90 (![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr))) <=> ![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))),
% 6.95/4.90 inference(quant_intro,[status(thm)],[3347])).
% 6.95/4.90 tff(3349,plain,
% 6.95/4.90 (![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr))) <=> ![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))),
% 6.95/4.90 inference(rewrite,[status(thm)],[])).
% 6.95/4.90 tff(3350,axiom,(![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_20')).
% 6.95/4.90 tff(3351,plain,
% 6.95/4.90 (![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))),
% 6.95/4.90 inference(modus_ponens,[status(thm)],[3350, 3349])).
% 6.95/4.90 tff(3352,plain,(
% 6.95/4.90 ![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))),
% 6.95/4.90 inference(skolemize,[status(sab)],[3351])).
% 6.95/4.90 tff(3353,plain,
% 6.95/4.90 (![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))),
% 6.95/4.90 inference(modus_ponens,[status(thm)],[3352, 3348])).
% 6.95/4.90 tff(3354,plain,
% 6.95/4.90 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB1) <=> (v118(constB1) | v121(constB1)))),
% 6.95/4.90 inference(quant_inst,[status(thm)],[])).
% 6.95/4.90 tff(3355,plain,
% 6.95/4.90 (v117(constB1) <=> (v118(constB1) | v121(constB1))),
% 6.95/4.90 inference(unit_resolution,[status(thm)],[3354, 3353])).
% 6.95/4.90 tff(3356,plain,
% 6.95/4.90 (^[VarCurr: $i] : refl((v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr))) <=> (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr))))),
% 6.95/4.90 inference(bind,[status(th)],[])).
% 6.95/4.90 tff(3357,plain,
% 6.95/4.90 (![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr))) <=> ![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))),
% 6.95/4.90 inference(quant_intro,[status(thm)],[3356])).
% 6.95/4.90 tff(3358,plain,
% 6.95/4.90 (![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr))) <=> ![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))),
% 6.95/4.90 inference(rewrite,[status(thm)],[])).
% 6.95/4.90 tff(3359,axiom,(![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_19')).
% 6.95/4.90 tff(3360,plain,
% 6.95/4.90 (![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))),
% 6.95/4.90 inference(modus_ponens,[status(thm)],[3359, 3358])).
% 6.95/4.90 tff(3361,plain,(
% 6.95/4.90 ![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))),
% 6.95/4.90 inference(skolemize,[status(sab)],[3360])).
% 6.95/4.90 tff(3362,plain,
% 6.95/4.90 (![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))),
% 6.95/4.90 inference(modus_ponens,[status(thm)],[3361, 3357])).
% 6.95/4.90 tff(3363,plain,
% 6.95/4.90 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB1) <=> (v119(constB1) | v120(constB1)))),
% 6.95/4.90 inference(quant_inst,[status(thm)],[])).
% 6.95/4.90 tff(3364,plain,
% 6.95/4.90 (v118(constB1) <=> (v119(constB1) | v120(constB1))),
% 6.95/4.90 inference(unit_resolution,[status(thm)],[3363, 3362])).
% 6.95/4.90 tff(3365,plain,
% 6.95/4.90 ((v119(constB1) | v120(constB1)) | (~v119(constB1))),
% 6.95/4.90 inference(tautology,[status(thm)],[])).
% 6.95/4.90 tff(3366,plain,
% 6.95/4.90 (v119(constB1) | v120(constB1)),
% 6.95/4.90 inference(unit_resolution,[status(thm)],[3365, 3197])).
% 6.95/4.90 tff(3367,plain,
% 6.95/4.90 ((~(v118(constB1) <=> (v119(constB1) | v120(constB1)))) | v118(constB1) | (~(v119(constB1) | v120(constB1)))),
% 6.95/4.90 inference(tautology,[status(thm)],[])).
% 6.95/4.90 tff(3368,plain,
% 6.95/4.90 ((~(v118(constB1) <=> (v119(constB1) | v120(constB1)))) | v118(constB1)),
% 6.99/4.90 inference(unit_resolution,[status(thm)],[3367, 3366])).
% 6.99/4.90 tff(3369,plain,
% 6.99/4.90 (v118(constB1)),
% 6.99/4.90 inference(unit_resolution,[status(thm)],[3368, 3364])).
% 6.99/4.90 tff(3370,plain,
% 6.99/4.90 ((v118(constB1) | v121(constB1)) | (~v118(constB1))),
% 6.99/4.90 inference(tautology,[status(thm)],[])).
% 6.99/4.90 tff(3371,plain,
% 6.99/4.90 (v118(constB1) | v121(constB1)),
% 6.99/4.90 inference(unit_resolution,[status(thm)],[3370, 3369])).
% 6.99/4.90 tff(3372,plain,
% 6.99/4.90 ((~(v117(constB1) <=> (v118(constB1) | v121(constB1)))) | v117(constB1) | (~(v118(constB1) | v121(constB1)))),
% 6.99/4.90 inference(tautology,[status(thm)],[])).
% 6.99/4.90 tff(3373,plain,
% 6.99/4.90 (v117(constB1)),
% 6.99/4.90 inference(unit_resolution,[status(thm)],[3372, 3371, 3355])).
% 6.99/4.90 tff(3374,plain,
% 6.99/4.90 ((v117(constB1) | v122(constB1)) | (~v117(constB1))),
% 6.99/4.90 inference(tautology,[status(thm)],[])).
% 6.99/4.90 tff(3375,plain,
% 6.99/4.90 (v117(constB1) | v122(constB1)),
% 6.99/4.90 inference(unit_resolution,[status(thm)],[3374, 3373])).
% 6.99/4.90 tff(3376,plain,
% 6.99/4.90 ((~(v116(constB1) <=> (v117(constB1) | v122(constB1)))) | v116(constB1) | (~(v117(constB1) | v122(constB1)))),
% 6.99/4.90 inference(tautology,[status(thm)],[])).
% 6.99/4.90 tff(3377,plain,
% 6.99/4.90 (v116(constB1)),
% 6.99/4.90 inference(unit_resolution,[status(thm)],[3376, 3375, 3346])).
% 6.99/4.90 tff(3378,plain,
% 6.99/4.90 ((v116(constB1) | v123(constB1)) | (~v116(constB1))),
% 6.99/4.90 inference(tautology,[status(thm)],[])).
% 6.99/4.90 tff(3379,plain,
% 6.99/4.90 (v116(constB1) | v123(constB1)),
% 6.99/4.90 inference(unit_resolution,[status(thm)],[3378, 3377])).
% 6.99/4.90 tff(3380,plain,
% 6.99/4.90 ((~(v115(constB1) <=> (v116(constB1) | v123(constB1)))) | v115(constB1) | (~(v116(constB1) | v123(constB1)))),
% 6.99/4.90 inference(tautology,[status(thm)],[])).
% 6.99/4.90 tff(3381,plain,
% 6.99/4.90 (v115(constB1)),
% 6.99/4.90 inference(unit_resolution,[status(thm)],[3380, 3379, 3337])).
% 6.99/4.90 tff(3382,plain,
% 6.99/4.90 ((v115(constB1) | v124(constB1)) | (~v115(constB1))),
% 6.99/4.90 inference(tautology,[status(thm)],[])).
% 6.99/4.90 tff(3383,plain,
% 6.99/4.90 (v115(constB1) | v124(constB1)),
% 6.99/4.90 inference(unit_resolution,[status(thm)],[3382, 3381])).
% 6.99/4.90 tff(3384,plain,
% 6.99/4.90 ((~(v114(constB1) <=> (v115(constB1) | v124(constB1)))) | v114(constB1) | (~(v115(constB1) | v124(constB1)))),
% 6.99/4.90 inference(tautology,[status(thm)],[])).
% 6.99/4.90 tff(3385,plain,
% 6.99/4.90 (v114(constB1)),
% 6.99/4.90 inference(unit_resolution,[status(thm)],[3384, 3383, 3328])).
% 6.99/4.90 tff(3386,plain,
% 6.99/4.90 ((v114(constB1) | v125(constB1)) | (~v114(constB1))),
% 6.99/4.90 inference(tautology,[status(thm)],[])).
% 6.99/4.90 tff(3387,plain,
% 6.99/4.90 (v114(constB1) | v125(constB1)),
% 6.99/4.90 inference(unit_resolution,[status(thm)],[3386, 3385])).
% 6.99/4.90 tff(3388,plain,
% 6.99/4.90 ((~(v113(constB1) <=> (v114(constB1) | v125(constB1)))) | v113(constB1) | (~(v114(constB1) | v125(constB1)))),
% 6.99/4.90 inference(tautology,[status(thm)],[])).
% 6.99/4.90 tff(3389,plain,
% 6.99/4.90 (v113(constB1)),
% 6.99/4.90 inference(unit_resolution,[status(thm)],[3388, 3387, 3319])).
% 6.99/4.90 tff(3390,plain,
% 6.99/4.90 (^[VarCurr: $i] : refl(((~v126(VarCurr)) <=> v111(VarCurr)) <=> ((~v126(VarCurr)) <=> v111(VarCurr)))),
% 6.99/4.90 inference(bind,[status(th)],[])).
% 6.99/4.90 tff(3391,plain,
% 6.99/4.90 (![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr)) <=> ![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))),
% 6.99/4.90 inference(quant_intro,[status(thm)],[3390])).
% 6.99/4.90 tff(3392,plain,
% 6.99/4.90 (![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr)) <=> ![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))),
% 6.99/4.90 inference(rewrite,[status(thm)],[])).
% 6.99/4.90 tff(3393,axiom,(![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeUnaryOperator_13')).
% 6.99/4.90 tff(3394,plain,
% 6.99/4.90 (![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))),
% 6.99/4.90 inference(modus_ponens,[status(thm)],[3393, 3392])).
% 6.99/4.90 tff(3395,plain,(
% 6.99/4.90 ![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))),
% 6.99/4.90 inference(skolemize,[status(sab)],[3394])).
% 6.99/4.90 tff(3396,plain,
% 6.99/4.90 (![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))),
% 6.99/4.90 inference(modus_ponens,[status(thm)],[3395, 3391])).
% 6.99/4.90 tff(3397,plain,
% 6.99/4.90 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB1)) <=> v111(constB1))),
% 6.99/4.90 inference(quant_inst,[status(thm)],[])).
% 6.99/4.90 tff(3398,plain,
% 6.99/4.90 ((~v126(constB1)) <=> v111(constB1)),
% 6.99/4.90 inference(unit_resolution,[status(thm)],[3397, 3396])).
% 6.99/4.90 tff(3399,plain,
% 6.99/4.90 ((~((~v126(constB1)) <=> v111(constB1))) | v126(constB1) | v111(constB1)),
% 6.99/4.90 inference(tautology,[status(thm)],[])).
% 6.99/4.90 tff(3400,plain,
% 6.99/4.90 ((~((~v126(constB1)) <=> v111(constB1))) | v126(constB1)),
% 6.99/4.90 inference(unit_resolution,[status(thm)],[3399, 3125])).
% 6.99/4.90 tff(3401,plain,
% 6.99/4.90 (v126(constB1)),
% 6.99/4.90 inference(unit_resolution,[status(thm)],[3400, 3398])).
% 6.99/4.90 tff(3402,plain,
% 6.99/4.90 ((~((~v113(constB1)) | (~v126(constB1)))) | (~v113(constB1)) | (~v126(constB1))),
% 6.99/4.90 inference(tautology,[status(thm)],[])).
% 6.99/4.90 tff(3403,plain,
% 6.99/4.90 (~((~v113(constB1)) | (~v126(constB1)))),
% 6.99/4.90 inference(unit_resolution,[status(thm)],[3402, 3401, 3389])).
% 6.99/4.90 tff(3404,plain,
% 6.99/4.90 ((~(v112(constB1) <=> (~((~v113(constB1)) | (~v126(constB1)))))) | v112(constB1) | ((~v113(constB1)) | (~v126(constB1)))),
% 6.99/4.90 inference(tautology,[status(thm)],[])).
% 6.99/4.90 tff(3405,plain,
% 6.99/4.90 ((~(v112(constB1) <=> (~((~v113(constB1)) | (~v126(constB1)))))) | v112(constB1)),
% 6.99/4.90 inference(unit_resolution,[status(thm)],[3404, 3403])).
% 6.99/4.90 tff(3406,plain,
% 6.99/4.90 (v112(constB1)),
% 6.99/4.90 inference(unit_resolution,[status(thm)],[3405, 3310])).
% 6.99/4.90 tff(3407,plain,
% 6.99/4.90 ((v111(constB1) | v112(constB1)) | (~v112(constB1))),
% 6.99/4.90 inference(tautology,[status(thm)],[])).
% 6.99/4.90 tff(3408,plain,
% 6.99/4.90 (v111(constB1) | v112(constB1)),
% 6.99/4.90 inference(unit_resolution,[status(thm)],[3407, 3406])).
% 6.99/4.90 tff(3409,plain,
% 6.99/4.90 ((~(v108(constB1) <=> (v111(constB1) | v112(constB1)))) | v108(constB1) | (~(v111(constB1) | v112(constB1)))),
% 6.99/4.90 inference(tautology,[status(thm)],[])).
% 6.99/4.90 tff(3410,plain,
% 6.99/4.90 (v108(constB1)),
% 6.99/4.90 inference(unit_resolution,[status(thm)],[3409, 3408, 3298])).
% 6.99/4.90 tff(3411,plain,
% 6.99/4.90 ((~(v110(constB2) <=> v108(constB1))) | v110(constB2) | (~v108(constB1))),
% 6.99/4.90 inference(tautology,[status(thm)],[])).
% 6.99/4.90 tff(3412,plain,
% 6.99/4.90 (v110(constB2)),
% 6.99/4.90 inference(unit_resolution,[status(thm)],[3411, 3410, 3289])).
% 6.99/4.90 tff(3413,plain,
% 6.99/4.90 ((~((~v101(constB2)) | (~v110(constB2)))) | (~v101(constB2)) | (~v110(constB2))),
% 6.99/4.90 inference(tautology,[status(thm)],[])).
% 6.99/4.90 tff(3414,plain,
% 6.99/4.90 (~((~v101(constB2)) | (~v110(constB2)))),
% 6.99/4.90 inference(unit_resolution,[status(thm)],[3413, 3412, 3275])).
% 6.99/4.90 tff(3415,plain,
% 6.99/4.90 ((~(v100(constB2) <=> (~((~v101(constB2)) | (~v110(constB2)))))) | v100(constB2) | ((~v101(constB2)) | (~v110(constB2)))),
% 6.99/4.90 inference(tautology,[status(thm)],[])).
% 6.99/4.90 tff(3416,plain,
% 6.99/4.90 (v100(constB2)),
% 6.99/4.90 inference(unit_resolution,[status(thm)],[3415, 3414, 3227])).
% 6.99/4.90 tff(3417,plain,
% 6.99/4.90 (^[VarNext: $i] : refl(((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0))))) <=> ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0))))))),
% 6.99/4.90 inference(bind,[status(th)],[])).
% 6.99/4.90 tff(3418,plain,
% 6.99/4.90 (![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0))))) <=> ![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))),
% 6.99/4.90 inference(quant_intro,[status(thm)],[3417])).
% 6.99/4.90 tff(3419,plain,
% 6.99/4.90 (^[VarNext: $i] : rewrite(((~v100(VarNext)) | ((v90(VarNext, bitIndex2) <=> v129(VarNext, bitIndex2)) & (v90(VarNext, bitIndex1) <=> v129(VarNext, bitIndex1)) & (v90(VarNext, bitIndex0) <=> v129(VarNext, bitIndex0)))) <=> ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0))))))),
% 6.99/4.90 inference(bind,[status(th)],[])).
% 6.99/4.90 tff(3420,plain,
% 6.99/4.90 (![VarNext: $i] : ((~v100(VarNext)) | ((v90(VarNext, bitIndex2) <=> v129(VarNext, bitIndex2)) & (v90(VarNext, bitIndex1) <=> v129(VarNext, bitIndex1)) & (v90(VarNext, bitIndex0) <=> v129(VarNext, bitIndex0)))) <=> ![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))),
% 6.99/4.90 inference(quant_intro,[status(thm)],[3419])).
% 6.99/4.90 tff(3421,plain,
% 6.99/4.90 (![VarNext: $i] : ((~v100(VarNext)) | ((v90(VarNext, bitIndex2) <=> v129(VarNext, bitIndex2)) & (v90(VarNext, bitIndex1) <=> v129(VarNext, bitIndex1)) & (v90(VarNext, bitIndex0) <=> v129(VarNext, bitIndex0)))) <=> ![VarNext: $i] : ((~v100(VarNext)) | ((v90(VarNext, bitIndex2) <=> v129(VarNext, bitIndex2)) & (v90(VarNext, bitIndex1) <=> v129(VarNext, bitIndex1)) & (v90(VarNext, bitIndex0) <=> v129(VarNext, bitIndex0))))),
% 6.99/4.90 inference(rewrite,[status(thm)],[])).
% 6.99/4.90 tff(3422,plain,
% 6.99/4.90 (^[VarNext: $i] : trans(monotonicity(rewrite((((v90(VarNext, bitIndex2) <=> v129(VarNext, bitIndex2)) & (v90(VarNext, bitIndex1) <=> v129(VarNext, bitIndex1))) & (v90(VarNext, bitIndex0) <=> v129(VarNext, bitIndex0))) <=> ((v90(VarNext, bitIndex2) <=> v129(VarNext, bitIndex2)) & (v90(VarNext, bitIndex1) <=> v129(VarNext, bitIndex1)) & (v90(VarNext, bitIndex0) <=> v129(VarNext, bitIndex0)))), ((v100(VarNext) => (((v90(VarNext, bitIndex2) <=> v129(VarNext, bitIndex2)) & (v90(VarNext, bitIndex1) <=> v129(VarNext, bitIndex1))) & (v90(VarNext, bitIndex0) <=> v129(VarNext, bitIndex0)))) <=> (v100(VarNext) => ((v90(VarNext, bitIndex2) <=> v129(VarNext, bitIndex2)) & (v90(VarNext, bitIndex1) <=> v129(VarNext, bitIndex1)) & (v90(VarNext, bitIndex0) <=> v129(VarNext, bitIndex0)))))), rewrite((v100(VarNext) => ((v90(VarNext, bitIndex2) <=> v129(VarNext, bitIndex2)) & (v90(VarNext, bitIndex1) <=> v129(VarNext, bitIndex1)) & (v90(VarNext, bitIndex0) <=> v129(VarNext, bitIndex0)))) <=> ((~v100(VarNext)) | ((v90(VarNext, bitIndex2) <=> v129(VarNext, bitIndex2)) & (v90(VarNext, bitIndex1) <=> v129(VarNext, bitIndex1)) & (v90(VarNext, bitIndex0) <=> v129(VarNext, bitIndex0))))), ((v100(VarNext) => (((v90(VarNext, bitIndex2) <=> v129(VarNext, bitIndex2)) & (v90(VarNext, bitIndex1) <=> v129(VarNext, bitIndex1))) & (v90(VarNext, bitIndex0) <=> v129(VarNext, bitIndex0)))) <=> ((~v100(VarNext)) | ((v90(VarNext, bitIndex2) <=> v129(VarNext, bitIndex2)) & (v90(VarNext, bitIndex1) <=> v129(VarNext, bitIndex1)) & (v90(VarNext, bitIndex0) <=> v129(VarNext, bitIndex0))))))),
% 6.99/4.90 inference(bind,[status(th)],[])).
% 6.99/4.90 tff(3423,plain,
% 6.99/4.90 (![VarNext: $i] : (v100(VarNext) => (((v90(VarNext, bitIndex2) <=> v129(VarNext, bitIndex2)) & (v90(VarNext, bitIndex1) <=> v129(VarNext, bitIndex1))) & (v90(VarNext, bitIndex0) <=> v129(VarNext, bitIndex0)))) <=> ![VarNext: $i] : ((~v100(VarNext)) | ((v90(VarNext, bitIndex2) <=> v129(VarNext, bitIndex2)) & (v90(VarNext, bitIndex1) <=> v129(VarNext, bitIndex1)) & (v90(VarNext, bitIndex0) <=> v129(VarNext, bitIndex0))))),
% 6.99/4.90 inference(quant_intro,[status(thm)],[3422])).
% 6.99/4.90 tff(3424,axiom,(![VarNext: $i] : (v100(VarNext) => (((v90(VarNext, bitIndex2) <=> v129(VarNext, bitIndex2)) & (v90(VarNext, bitIndex1) <=> v129(VarNext, bitIndex1))) & (v90(VarNext, bitIndex0) <=> v129(VarNext, bitIndex0))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0')).
% 6.99/4.90 tff(3425,plain,
% 6.99/4.90 (![VarNext: $i] : ((~v100(VarNext)) | ((v90(VarNext, bitIndex2) <=> v129(VarNext, bitIndex2)) & (v90(VarNext, bitIndex1) <=> v129(VarNext, bitIndex1)) & (v90(VarNext, bitIndex0) <=> v129(VarNext, bitIndex0))))),
% 6.99/4.90 inference(modus_ponens,[status(thm)],[3424, 3423])).
% 6.99/4.90 tff(3426,plain,
% 6.99/4.90 (![VarNext: $i] : ((~v100(VarNext)) | ((v90(VarNext, bitIndex2) <=> v129(VarNext, bitIndex2)) & (v90(VarNext, bitIndex1) <=> v129(VarNext, bitIndex1)) & (v90(VarNext, bitIndex0) <=> v129(VarNext, bitIndex0))))),
% 6.99/4.90 inference(modus_ponens,[status(thm)],[3425, 3421])).
% 6.99/4.90 tff(3427,plain,(
% 6.99/4.90 ![VarNext: $i] : ((~v100(VarNext)) | ((v90(VarNext, bitIndex2) <=> v129(VarNext, bitIndex2)) & (v90(VarNext, bitIndex1) <=> v129(VarNext, bitIndex1)) & (v90(VarNext, bitIndex0) <=> v129(VarNext, bitIndex0))))),
% 6.99/4.90 inference(skolemize,[status(sab)],[3426])).
% 6.99/4.90 tff(3428,plain,
% 6.99/4.90 (![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))),
% 6.99/4.90 inference(modus_ponens,[status(thm)],[3427, 3420])).
% 6.99/4.90 tff(3429,plain,
% 6.99/4.90 (![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))),
% 6.99/4.90 inference(modus_ponens,[status(thm)],[3428, 3418])).
% 6.99/4.90 tff(3430,plain,
% 6.99/4.90 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB2)) | (~(((~v90(constB2, bitIndex0)) <=> v129(constB2, bitIndex0)) | ((~v90(constB2, bitIndex2)) <=> v129(constB2, bitIndex2)) | ((~v90(constB2, bitIndex1)) <=> v129(constB2, bitIndex1)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB2)) | (~(((~v90(constB2, bitIndex0)) <=> v129(constB2, bitIndex0)) | ((~v90(constB2, bitIndex2)) <=> v129(constB2, bitIndex2)) | ((~v90(constB2, bitIndex1)) <=> v129(constB2, bitIndex1)))))),
% 6.99/4.90 inference(rewrite,[status(thm)],[])).
% 6.99/4.90 tff(3431,plain,
% 6.99/4.90 (((~v100(constB2)) | (~(((~v90(constB2, bitIndex2)) <=> v129(constB2, bitIndex2)) | ((~v90(constB2, bitIndex1)) <=> v129(constB2, bitIndex1)) | ((~v90(constB2, bitIndex0)) <=> v129(constB2, bitIndex0))))) <=> ((~v100(constB2)) | (~(((~v90(constB2, bitIndex0)) <=> v129(constB2, bitIndex0)) | ((~v90(constB2, bitIndex2)) <=> v129(constB2, bitIndex2)) | ((~v90(constB2, bitIndex1)) <=> v129(constB2, bitIndex1)))))),
% 6.99/4.90 inference(rewrite,[status(thm)],[])).
% 6.99/4.90 tff(3432,plain,
% 6.99/4.90 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB2)) | (~(((~v90(constB2, bitIndex2)) <=> v129(constB2, bitIndex2)) | ((~v90(constB2, bitIndex1)) <=> v129(constB2, bitIndex1)) | ((~v90(constB2, bitIndex0)) <=> v129(constB2, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB2)) | (~(((~v90(constB2, bitIndex0)) <=> v129(constB2, bitIndex0)) | ((~v90(constB2, bitIndex2)) <=> v129(constB2, bitIndex2)) | ((~v90(constB2, bitIndex1)) <=> v129(constB2, bitIndex1))))))),
% 6.99/4.90 inference(monotonicity,[status(thm)],[3431])).
% 6.99/4.90 tff(3433,plain,
% 6.99/4.90 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB2)) | (~(((~v90(constB2, bitIndex2)) <=> v129(constB2, bitIndex2)) | ((~v90(constB2, bitIndex1)) <=> v129(constB2, bitIndex1)) | ((~v90(constB2, bitIndex0)) <=> v129(constB2, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB2)) | (~(((~v90(constB2, bitIndex0)) <=> v129(constB2, bitIndex0)) | ((~v90(constB2, bitIndex2)) <=> v129(constB2, bitIndex2)) | ((~v90(constB2, bitIndex1)) <=> v129(constB2, bitIndex1)))))),
% 6.99/4.90 inference(transitivity,[status(thm)],[3432, 3430])).
% 6.99/4.90 tff(3434,plain,
% 6.99/4.90 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB2)) | (~(((~v90(constB2, bitIndex2)) <=> v129(constB2, bitIndex2)) | ((~v90(constB2, bitIndex1)) <=> v129(constB2, bitIndex1)) | ((~v90(constB2, bitIndex0)) <=> v129(constB2, bitIndex0)))))),
% 6.99/4.91 inference(quant_inst,[status(thm)],[])).
% 6.99/4.91 tff(3435,plain,
% 6.99/4.91 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB2)) | (~(((~v90(constB2, bitIndex0)) <=> v129(constB2, bitIndex0)) | ((~v90(constB2, bitIndex2)) <=> v129(constB2, bitIndex2)) | ((~v90(constB2, bitIndex1)) <=> v129(constB2, bitIndex1))))),
% 6.99/4.91 inference(modus_ponens,[status(thm)],[3434, 3433])).
% 6.99/4.91 tff(3436,plain,
% 6.99/4.91 ((~v100(constB2)) | (~(((~v90(constB2, bitIndex0)) <=> v129(constB2, bitIndex0)) | ((~v90(constB2, bitIndex2)) <=> v129(constB2, bitIndex2)) | ((~v90(constB2, bitIndex1)) <=> v129(constB2, bitIndex1))))),
% 6.99/4.91 inference(unit_resolution,[status(thm)],[3435, 3429])).
% 6.99/4.91 tff(3437,plain,
% 6.99/4.91 (~(((~v90(constB2, bitIndex0)) <=> v129(constB2, bitIndex0)) | ((~v90(constB2, bitIndex2)) <=> v129(constB2, bitIndex2)) | ((~v90(constB2, bitIndex1)) <=> v129(constB2, bitIndex1)))),
% 6.99/4.91 inference(unit_resolution,[status(thm)],[3436, 3416])).
% 6.99/4.91 tff(3438,plain,
% 6.99/4.91 ((((~v90(constB2, bitIndex0)) <=> v129(constB2, bitIndex0)) | ((~v90(constB2, bitIndex2)) <=> v129(constB2, bitIndex2)) | ((~v90(constB2, bitIndex1)) <=> v129(constB2, bitIndex1))) | (~((~v90(constB2, bitIndex2)) <=> v129(constB2, bitIndex2)))),
% 6.99/4.91 inference(tautology,[status(thm)],[])).
% 6.99/4.91 tff(3439,plain,
% 6.99/4.91 (~((~v90(constB2, bitIndex2)) <=> v129(constB2, bitIndex2))),
% 6.99/4.91 inference(unit_resolution,[status(thm)],[3438, 3437])).
% 6.99/4.91 tff(3440,plain,
% 6.99/4.91 (((~v90(constB2, bitIndex2)) <=> v129(constB2, bitIndex2)) | v90(constB2, bitIndex2) | (~v129(constB2, bitIndex2))),
% 6.99/4.91 inference(tautology,[status(thm)],[])).
% 6.99/4.91 tff(3441,plain,
% 6.99/4.91 (v90(constB2, bitIndex2)),
% 6.99/4.91 inference(unit_resolution,[status(thm)],[3440, 3439, 3223])).
% 6.99/4.91 tff(3442,plain,
% 6.99/4.91 (((~v90(constB3, bitIndex2)) <=> v90(constB2, bitIndex2)) | v90(constB3, bitIndex2) | (~v90(constB2, bitIndex2))),
% 6.99/4.91 inference(tautology,[status(thm)],[])).
% 6.99/4.91 tff(3443,plain,
% 6.99/4.91 (v90(constB3, bitIndex2)),
% 6.99/4.91 inference(unit_resolution,[status(thm)],[3442, 3441, 3109])).
% 6.99/4.91 tff(3444,plain,
% 6.99/4.91 ((((~v90(constB3, bitIndex1)) <=> v90(constB2, bitIndex1)) | ((~v90(constB3, bitIndex2)) <=> v90(constB2, bitIndex2)) | ((~v90(constB3, bitIndex0)) <=> v90(constB2, bitIndex0))) | (~((~v90(constB3, bitIndex0)) <=> v90(constB2, bitIndex0)))),
% 6.99/4.91 inference(tautology,[status(thm)],[])).
% 6.99/4.91 tff(3445,plain,
% 6.99/4.91 (~((~v90(constB3, bitIndex0)) <=> v90(constB2, bitIndex0))),
% 6.99/4.91 inference(unit_resolution,[status(thm)],[3444, 3107])).
% 6.99/4.91 tff(3446,plain,
% 6.99/4.91 ((((~v129(constB2, bitIndex2)) <=> v127(constB1, bitIndex2)) | ((~v129(constB2, bitIndex1)) <=> v127(constB1, bitIndex1)) | ((~v129(constB2, bitIndex0)) <=> v127(constB1, bitIndex0))) | (~((~v129(constB2, bitIndex0)) <=> v127(constB1, bitIndex0)))),
% 6.99/4.91 inference(tautology,[status(thm)],[])).
% 6.99/4.91 tff(3447,plain,
% 6.99/4.91 (~((~v129(constB2, bitIndex0)) <=> v127(constB1, bitIndex0))),
% 6.99/4.91 inference(unit_resolution,[status(thm)],[3446, 3116])).
% 6.99/4.91 tff(3448,plain,
% 6.99/4.91 ((((~v127(constB1, bitIndex2)) <=> v130(constB1, bitIndex2)) | ((~v127(constB1, bitIndex1)) <=> v130(constB1, bitIndex1)) | ((~v127(constB1, bitIndex0)) <=> v130(constB1, bitIndex0))) | (~((~v127(constB1, bitIndex0)) <=> v130(constB1, bitIndex0)))),
% 6.99/4.91 inference(tautology,[status(thm)],[])).
% 6.99/4.91 tff(3449,plain,
% 6.99/4.91 (~((~v127(constB1, bitIndex0)) <=> v130(constB1, bitIndex0))),
% 6.99/4.91 inference(unit_resolution,[status(thm)],[3448, 3130])).
% 6.99/4.91 tff(3450,plain,
% 6.99/4.91 ((v130(constB1, bitIndex1) | v130(constB1, bitIndex0) | (~v130(constB1, bitIndex2))) | (~v130(constB1, bitIndex0))),
% 6.99/4.91 inference(tautology,[status(thm)],[])).
% 6.99/4.91 tff(3451,plain,
% 6.99/4.91 (~v130(constB1, bitIndex0)),
% 6.99/4.91 inference(unit_resolution,[status(thm)],[3450, 3217])).
% 6.99/4.91 tff(3452,plain,
% 6.99/4.91 (((~v127(constB1, bitIndex0)) <=> v130(constB1, bitIndex0)) | (~v127(constB1, bitIndex0)) | v130(constB1, bitIndex0)),
% 6.99/4.91 inference(tautology,[status(thm)],[])).
% 6.99/4.91 tff(3453,plain,
% 6.99/4.91 (~v127(constB1, bitIndex0)),
% 6.99/4.91 inference(unit_resolution,[status(thm)],[3452, 3451, 3449])).
% 6.99/4.91 tff(3454,plain,
% 6.99/4.91 (((~v129(constB2, bitIndex0)) <=> v127(constB1, bitIndex0)) | (~v129(constB2, bitIndex0)) | v127(constB1, bitIndex0)),
% 6.99/4.91 inference(tautology,[status(thm)],[])).
% 6.99/4.91 tff(3455,plain,
% 6.99/4.91 (~v129(constB2, bitIndex0)),
% 6.99/4.91 inference(unit_resolution,[status(thm)],[3454, 3453, 3447])).
% 6.99/4.91 tff(3456,plain,
% 6.99/4.91 ((((~v90(constB2, bitIndex0)) <=> v129(constB2, bitIndex0)) | ((~v90(constB2, bitIndex2)) <=> v129(constB2, bitIndex2)) | ((~v90(constB2, bitIndex1)) <=> v129(constB2, bitIndex1))) | (~((~v90(constB2, bitIndex0)) <=> v129(constB2, bitIndex0)))),
% 6.99/4.91 inference(tautology,[status(thm)],[])).
% 6.99/4.91 tff(3457,plain,
% 6.99/4.91 (~((~v90(constB2, bitIndex0)) <=> v129(constB2, bitIndex0))),
% 6.99/4.91 inference(unit_resolution,[status(thm)],[3456, 3437])).
% 6.99/4.91 tff(3458,plain,
% 6.99/4.91 (((~v90(constB2, bitIndex0)) <=> v129(constB2, bitIndex0)) | (~v90(constB2, bitIndex0)) | v129(constB2, bitIndex0)),
% 6.99/4.91 inference(tautology,[status(thm)],[])).
% 6.99/4.91 tff(3459,plain,
% 6.99/4.91 (~v90(constB2, bitIndex0)),
% 6.99/4.91 inference(unit_resolution,[status(thm)],[3458, 3457, 3455])).
% 6.99/4.91 tff(3460,plain,
% 6.99/4.91 (((~v90(constB3, bitIndex0)) <=> v90(constB2, bitIndex0)) | (~v90(constB3, bitIndex0)) | v90(constB2, bitIndex0)),
% 6.99/4.91 inference(tautology,[status(thm)],[])).
% 6.99/4.91 tff(3461,plain,
% 6.99/4.91 (~v90(constB3, bitIndex0)),
% 6.99/4.91 inference(unit_resolution,[status(thm)],[3460, 3459, 3445])).
% 6.99/4.91 tff(3462,plain,
% 6.99/4.91 ((((~v90(constB3, bitIndex1)) <=> v90(constB2, bitIndex1)) | ((~v90(constB3, bitIndex2)) <=> v90(constB2, bitIndex2)) | ((~v90(constB3, bitIndex0)) <=> v90(constB2, bitIndex0))) | (~((~v90(constB3, bitIndex1)) <=> v90(constB2, bitIndex1)))),
% 6.99/4.91 inference(tautology,[status(thm)],[])).
% 6.99/4.91 tff(3463,plain,
% 6.99/4.91 (~((~v90(constB3, bitIndex1)) <=> v90(constB2, bitIndex1))),
% 6.99/4.91 inference(unit_resolution,[status(thm)],[3462, 3107])).
% 6.99/4.91 tff(3464,plain,
% 6.99/4.91 ((((~v129(constB2, bitIndex2)) <=> v127(constB1, bitIndex2)) | ((~v129(constB2, bitIndex1)) <=> v127(constB1, bitIndex1)) | ((~v129(constB2, bitIndex0)) <=> v127(constB1, bitIndex0))) | (~((~v129(constB2, bitIndex1)) <=> v127(constB1, bitIndex1)))),
% 6.99/4.91 inference(tautology,[status(thm)],[])).
% 6.99/4.91 tff(3465,plain,
% 6.99/4.91 (~((~v129(constB2, bitIndex1)) <=> v127(constB1, bitIndex1))),
% 6.99/4.91 inference(unit_resolution,[status(thm)],[3464, 3116])).
% 6.99/4.91 tff(3466,plain,
% 6.99/4.91 ((((~v127(constB1, bitIndex2)) <=> v130(constB1, bitIndex2)) | ((~v127(constB1, bitIndex1)) <=> v130(constB1, bitIndex1)) | ((~v127(constB1, bitIndex0)) <=> v130(constB1, bitIndex0))) | (~((~v127(constB1, bitIndex1)) <=> v130(constB1, bitIndex1)))),
% 6.99/4.91 inference(tautology,[status(thm)],[])).
% 6.99/4.91 tff(3467,plain,
% 6.99/4.91 (~((~v127(constB1, bitIndex1)) <=> v130(constB1, bitIndex1))),
% 6.99/4.91 inference(unit_resolution,[status(thm)],[3466, 3130])).
% 6.99/4.91 tff(3468,plain,
% 6.99/4.91 ((v130(constB1, bitIndex1) | v130(constB1, bitIndex0) | (~v130(constB1, bitIndex2))) | (~v130(constB1, bitIndex1))),
% 6.99/4.91 inference(tautology,[status(thm)],[])).
% 6.99/4.91 tff(3469,plain,
% 6.99/4.91 (~v130(constB1, bitIndex1)),
% 6.99/4.91 inference(unit_resolution,[status(thm)],[3468, 3217])).
% 6.99/4.91 tff(3470,plain,
% 6.99/4.91 (((~v127(constB1, bitIndex1)) <=> v130(constB1, bitIndex1)) | (~v127(constB1, bitIndex1)) | v130(constB1, bitIndex1)),
% 6.99/4.91 inference(tautology,[status(thm)],[])).
% 6.99/4.91 tff(3471,plain,
% 6.99/4.91 (~v127(constB1, bitIndex1)),
% 6.99/4.91 inference(unit_resolution,[status(thm)],[3470, 3469, 3467])).
% 6.99/4.91 tff(3472,plain,
% 6.99/4.91 (((~v129(constB2, bitIndex1)) <=> v127(constB1, bitIndex1)) | (~v129(constB2, bitIndex1)) | v127(constB1, bitIndex1)),
% 6.99/4.91 inference(tautology,[status(thm)],[])).
% 6.99/4.91 tff(3473,plain,
% 6.99/4.91 (~v129(constB2, bitIndex1)),
% 6.99/4.91 inference(unit_resolution,[status(thm)],[3472, 3471, 3465])).
% 6.99/4.91 tff(3474,plain,
% 6.99/4.91 ((((~v90(constB2, bitIndex0)) <=> v129(constB2, bitIndex0)) | ((~v90(constB2, bitIndex2)) <=> v129(constB2, bitIndex2)) | ((~v90(constB2, bitIndex1)) <=> v129(constB2, bitIndex1))) | (~((~v90(constB2, bitIndex1)) <=> v129(constB2, bitIndex1)))),
% 6.99/4.91 inference(tautology,[status(thm)],[])).
% 6.99/4.91 tff(3475,plain,
% 6.99/4.91 (~((~v90(constB2, bitIndex1)) <=> v129(constB2, bitIndex1))),
% 6.99/4.91 inference(unit_resolution,[status(thm)],[3474, 3437])).
% 6.99/4.91 tff(3476,plain,
% 6.99/4.91 (((~v90(constB2, bitIndex1)) <=> v129(constB2, bitIndex1)) | (~v90(constB2, bitIndex1)) | v129(constB2, bitIndex1)),
% 6.99/4.91 inference(tautology,[status(thm)],[])).
% 6.99/4.91 tff(3477,plain,
% 6.99/4.91 (~v90(constB2, bitIndex1)),
% 6.99/4.91 inference(unit_resolution,[status(thm)],[3476, 3475, 3473])).
% 6.99/4.91 tff(3478,plain,
% 6.99/4.91 (((~v90(constB3, bitIndex1)) <=> v90(constB2, bitIndex1)) | (~v90(constB3, bitIndex1)) | v90(constB2, bitIndex1)),
% 6.99/4.91 inference(tautology,[status(thm)],[])).
% 6.99/4.91 tff(3479,plain,
% 6.99/4.91 (~v90(constB3, bitIndex1)),
% 6.99/4.91 inference(unit_resolution,[status(thm)],[3478, 3477, 3463])).
% 6.99/4.91 tff(3480,plain,
% 6.99/4.91 ((~(v90(constB3, bitIndex1) | v90(constB3, bitIndex0) | (~v90(constB3, bitIndex2)))) | v90(constB3, bitIndex1) | v90(constB3, bitIndex0) | (~v90(constB3, bitIndex2))),
% 6.99/4.91 inference(tautology,[status(thm)],[])).
% 6.99/4.91 tff(3481,plain,
% 6.99/4.91 (~(v90(constB3, bitIndex1) | v90(constB3, bitIndex0) | (~v90(constB3, bitIndex2)))),
% 6.99/4.91 inference(unit_resolution,[status(thm)],[3480, 3479, 3461, 3443])).
% 6.99/4.91 tff(3482,plain,
% 6.99/4.91 ((~(v123(constB3) <=> (~(v90(constB3, bitIndex1) | v90(constB3, bitIndex0) | (~v90(constB3, bitIndex2)))))) | v123(constB3) | (v90(constB3, bitIndex1) | v90(constB3, bitIndex0) | (~v90(constB3, bitIndex2)))),
% 6.99/4.91 inference(tautology,[status(thm)],[])).
% 6.99/4.91 tff(3483,plain,
% 6.99/4.91 (v123(constB3)),
% 6.99/4.91 inference(unit_resolution,[status(thm)],[3482, 3481, 3073])).
% 6.99/4.91 tff(3484,plain,
% 6.99/4.91 (^[VarCurr: $i] : refl(((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1))))) <=> ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1))))))),
% 6.99/4.91 inference(bind,[status(th)],[])).
% 6.99/4.91 tff(3485,plain,
% 6.99/4.91 (![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1))))) <=> ![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))),
% 6.99/4.91 inference(quant_intro,[status(thm)],[3484])).
% 6.99/4.91 tff(3486,plain,
% 6.99/4.91 (^[VarCurr: $i] : rewrite(((~v123(VarCurr)) | (v130(VarCurr, bitIndex2) & v130(VarCurr, bitIndex1) & (~v130(VarCurr, bitIndex0)))) <=> ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1))))))),
% 6.99/4.91 inference(bind,[status(th)],[])).
% 6.99/4.91 tff(3487,plain,
% 6.99/4.91 (![VarCurr: $i] : ((~v123(VarCurr)) | (v130(VarCurr, bitIndex2) & v130(VarCurr, bitIndex1) & (~v130(VarCurr, bitIndex0)))) <=> ![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))),
% 6.99/4.91 inference(quant_intro,[status(thm)],[3486])).
% 6.99/4.91 tff(3488,plain,
% 6.99/4.91 (![VarCurr: $i] : ((~v123(VarCurr)) | (v130(VarCurr, bitIndex2) & v130(VarCurr, bitIndex1) & (~v130(VarCurr, bitIndex0)))) <=> ![VarCurr: $i] : ((~v123(VarCurr)) | (v130(VarCurr, bitIndex2) & v130(VarCurr, bitIndex1) & (~v130(VarCurr, bitIndex0))))),
% 6.99/4.91 inference(rewrite,[status(thm)],[])).
% 6.99/4.91 tff(3489,plain,
% 6.99/4.91 (^[VarCurr: $i] : trans(monotonicity(trans(monotonicity(rewrite(((v130(VarCurr, bitIndex2) <=> $true) & (v130(VarCurr, bitIndex1) <=> $true)) <=> (v130(VarCurr, bitIndex2) & v130(VarCurr, bitIndex1))), rewrite((v130(VarCurr, bitIndex0) <=> $false) <=> (~v130(VarCurr, bitIndex0))), ((((v130(VarCurr, bitIndex2) <=> $true) & (v130(VarCurr, bitIndex1) <=> $true)) & (v130(VarCurr, bitIndex0) <=> $false)) <=> ((v130(VarCurr, bitIndex2) & v130(VarCurr, bitIndex1)) & (~v130(VarCurr, bitIndex0))))), rewrite(((v130(VarCurr, bitIndex2) & v130(VarCurr, bitIndex1)) & (~v130(VarCurr, bitIndex0))) <=> (v130(VarCurr, bitIndex2) & v130(VarCurr, bitIndex1) & (~v130(VarCurr, bitIndex0)))), ((((v130(VarCurr, bitIndex2) <=> $true) & (v130(VarCurr, bitIndex1) <=> $true)) & (v130(VarCurr, bitIndex0) <=> $false)) <=> (v130(VarCurr, bitIndex2) & v130(VarCurr, bitIndex1) & (~v130(VarCurr, bitIndex0))))), ((v123(VarCurr) => (((v130(VarCurr, bitIndex2) <=> $true) & (v130(VarCurr, bitIndex1) <=> $true)) & (v130(VarCurr, bitIndex0) <=> $false))) <=> (v123(VarCurr) => (v130(VarCurr, bitIndex2) & v130(VarCurr, bitIndex1) & (~v130(VarCurr, bitIndex0)))))), rewrite((v123(VarCurr) => (v130(VarCurr, bitIndex2) & v130(VarCurr, bitIndex1) & (~v130(VarCurr, bitIndex0)))) <=> ((~v123(VarCurr)) | (v130(VarCurr, bitIndex2) & v130(VarCurr, bitIndex1) & (~v130(VarCurr, bitIndex0))))), ((v123(VarCurr) => (((v130(VarCurr, bitIndex2) <=> $true) & (v130(VarCurr, bitIndex1) <=> $true)) & (v130(VarCurr, bitIndex0) <=> $false))) <=> ((~v123(VarCurr)) | (v130(VarCurr, bitIndex2) & v130(VarCurr, bitIndex1) & (~v130(VarCurr, bitIndex0))))))),
% 6.99/4.91 inference(bind,[status(th)],[])).
% 6.99/4.91 tff(3490,plain,
% 6.99/4.91 (![VarCurr: $i] : (v123(VarCurr) => (((v130(VarCurr, bitIndex2) <=> $true) & (v130(VarCurr, bitIndex1) <=> $true)) & (v130(VarCurr, bitIndex0) <=> $false))) <=> ![VarCurr: $i] : ((~v123(VarCurr)) | (v130(VarCurr, bitIndex2) & v130(VarCurr, bitIndex1) & (~v130(VarCurr, bitIndex0))))),
% 6.99/4.91 inference(quant_intro,[status(thm)],[3489])).
% 6.99/4.91 tff(3491,axiom,(![VarCurr: $i] : (v123(VarCurr) => (((v130(VarCurr, bitIndex2) <=> $true) & (v130(VarCurr, bitIndex1) <=> $true)) & (v130(VarCurr, bitIndex0) <=> $false)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges4')).
% 6.99/4.91 tff(3492,plain,
% 6.99/4.91 (![VarCurr: $i] : ((~v123(VarCurr)) | (v130(VarCurr, bitIndex2) & v130(VarCurr, bitIndex1) & (~v130(VarCurr, bitIndex0))))),
% 6.99/4.91 inference(modus_ponens,[status(thm)],[3491, 3490])).
% 6.99/4.91 tff(3493,plain,
% 6.99/4.91 (![VarCurr: $i] : ((~v123(VarCurr)) | (v130(VarCurr, bitIndex2) & v130(VarCurr, bitIndex1) & (~v130(VarCurr, bitIndex0))))),
% 6.99/4.91 inference(modus_ponens,[status(thm)],[3492, 3488])).
% 6.99/4.91 tff(3494,plain,(
% 6.99/4.91 ![VarCurr: $i] : ((~v123(VarCurr)) | (v130(VarCurr, bitIndex2) & v130(VarCurr, bitIndex1) & (~v130(VarCurr, bitIndex0))))),
% 6.99/4.91 inference(skolemize,[status(sab)],[3493])).
% 6.99/4.91 tff(3495,plain,
% 6.99/4.91 (![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))),
% 6.99/4.91 inference(modus_ponens,[status(thm)],[3494, 3487])).
% 6.99/4.91 tff(3496,plain,
% 6.99/4.91 (![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))),
% 6.99/4.91 inference(modus_ponens,[status(thm)],[3495, 3485])).
% 6.99/4.91 tff(3497,plain,
% 6.99/4.91 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | ((~v123(constB3)) | (~(v130(constB3, bitIndex0) | (~v130(constB3, bitIndex2)) | (~v130(constB3, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | (~v123(constB3)) | (~(v130(constB3, bitIndex0) | (~v130(constB3, bitIndex2)) | (~v130(constB3, bitIndex1)))))),
% 6.99/4.91 inference(rewrite,[status(thm)],[])).
% 6.99/4.91 tff(3498,plain,
% 6.99/4.91 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | ((~v123(constB3)) | (~(v130(constB3, bitIndex0) | (~v130(constB3, bitIndex2)) | (~v130(constB3, bitIndex1)))))),
% 6.99/4.91 inference(quant_inst,[status(thm)],[])).
% 6.99/4.91 tff(3499,plain,
% 6.99/4.91 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | (~v123(constB3)) | (~(v130(constB3, bitIndex0) | (~v130(constB3, bitIndex2)) | (~v130(constB3, bitIndex1))))),
% 6.99/4.91 inference(modus_ponens,[status(thm)],[3498, 3497])).
% 6.99/4.91 tff(3500,plain,
% 6.99/4.91 ((~v123(constB3)) | (~(v130(constB3, bitIndex0) | (~v130(constB3, bitIndex2)) | (~v130(constB3, bitIndex1))))),
% 6.99/4.91 inference(unit_resolution,[status(thm)],[3499, 3496])).
% 6.99/4.91 tff(3501,plain,
% 6.99/4.91 (~(v130(constB3, bitIndex0) | (~v130(constB3, bitIndex2)) | (~v130(constB3, bitIndex1)))),
% 6.99/4.91 inference(unit_resolution,[status(thm)],[3500, 3483])).
% 6.99/4.91 tff(3502,plain,
% 6.99/4.91 ((v130(constB3, bitIndex0) | (~v130(constB3, bitIndex2)) | (~v130(constB3, bitIndex1))) | v130(constB3, bitIndex2)),
% 6.99/4.91 inference(tautology,[status(thm)],[])).
% 6.99/4.91 tff(3503,plain,
% 6.99/4.91 (v130(constB3, bitIndex2)),
% 6.99/4.91 inference(unit_resolution,[status(thm)],[3502, 3501])).
% 6.99/4.91 tff(3504,plain,
% 6.99/4.91 (((~v127(constB3, bitIndex2)) <=> v130(constB3, bitIndex2)) | v127(constB3, bitIndex2) | (~v130(constB3, bitIndex2))),
% 6.99/4.91 inference(tautology,[status(thm)],[])).
% 6.99/4.91 tff(3505,plain,
% 6.99/4.91 (v127(constB3, bitIndex2)),
% 6.99/4.91 inference(unit_resolution,[status(thm)],[3504, 3503, 3066])).
% 6.99/4.91 tff(3506,plain,
% 6.99/4.91 (((~v129(constB4, bitIndex2)) <=> v127(constB3, bitIndex2)) | v129(constB4, bitIndex2) | (~v127(constB3, bitIndex2))),
% 6.99/4.91 inference(tautology,[status(thm)],[])).
% 6.99/4.91 tff(3507,plain,
% 6.99/4.91 (v129(constB4, bitIndex2)),
% 6.99/4.91 inference(unit_resolution,[status(thm)],[3506, 3505, 3052])).
% 6.99/4.91 tff(3508,plain,
% 6.99/4.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB3, constB4)) | (v100(constB4) <=> (~((~v101(constB4)) | (~v110(constB4))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB3, constB4)) | (v100(constB4) <=> (~((~v101(constB4)) | (~v110(constB4))))))),
% 6.99/4.91 inference(rewrite,[status(thm)],[])).
% 6.99/4.91 tff(3509,plain,
% 6.99/4.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB3, constB4)) | (v100(constB4) <=> (~((~v101(constB4)) | (~v110(constB4))))))),
% 6.99/4.91 inference(quant_inst,[status(thm)],[])).
% 6.99/4.91 tff(3510,plain,
% 6.99/4.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB3, constB4)) | (v100(constB4) <=> (~((~v101(constB4)) | (~v110(constB4)))))),
% 6.99/4.91 inference(modus_ponens,[status(thm)],[3509, 3508])).
% 6.99/4.91 tff(3511,plain,
% 6.99/4.91 (v100(constB4) <=> (~((~v101(constB4)) | (~v110(constB4))))),
% 6.99/4.91 inference(unit_resolution,[status(thm)],[3510, 3046, 445])).
% 6.99/4.91 tff(3512,plain,
% 6.99/4.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB3, constB4)) | (v101(constB4) <=> (~((~v1(constB4)) | (~v102(constB4))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB3, constB4)) | (v101(constB4) <=> (~((~v1(constB4)) | (~v102(constB4))))))),
% 6.99/4.91 inference(rewrite,[status(thm)],[])).
% 6.99/4.91 tff(3513,plain,
% 6.99/4.91 (((~nextState(constB3, constB4)) | (v101(constB4) <=> (~((~v102(constB4)) | (~v1(constB4)))))) <=> ((~nextState(constB3, constB4)) | (v101(constB4) <=> (~((~v1(constB4)) | (~v102(constB4))))))),
% 6.99/4.91 inference(rewrite,[status(thm)],[])).
% 6.99/4.91 tff(3514,plain,
% 6.99/4.91 (((~![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) <=> (~((~v1(constB4)) | (~v102(constB4)))))))),
% 6.99/4.91 inference(monotonicity,[status(thm)],[3513])).
% 6.99/4.91 tff(3515,plain,
% 6.99/4.91 (((~![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) <=> (~((~v1(constB4)) | (~v102(constB4))))))),
% 6.99/4.91 inference(transitivity,[status(thm)],[3514, 3512])).
% 6.99/4.91 tff(3516,plain,
% 6.99/4.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB3, constB4)) | (v101(constB4) <=> (~((~v102(constB4)) | (~v1(constB4))))))),
% 6.99/4.91 inference(quant_inst,[status(thm)],[])).
% 6.99/4.91 tff(3517,plain,
% 6.99/4.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB3, constB4)) | (v101(constB4) <=> (~((~v1(constB4)) | (~v102(constB4)))))),
% 6.99/4.91 inference(modus_ponens,[status(thm)],[3516, 3515])).
% 6.99/4.91 tff(3518,plain,
% 6.99/4.91 (v101(constB4) <=> (~((~v1(constB4)) | (~v102(constB4))))),
% 6.99/4.91 inference(unit_resolution,[status(thm)],[3517, 3046, 465])).
% 6.99/4.91 tff(3519,plain,
% 6.99/4.91 (((~![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)))),
% 6.99/4.91 inference(rewrite,[status(thm)],[])).
% 6.99/4.91 tff(3520,plain,
% 6.99/4.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB3, constB4)) | ((~v102(constB4)) <=> v104(constB4)))),
% 6.99/4.91 inference(quant_inst,[status(thm)],[])).
% 6.99/4.91 tff(3521,plain,
% 6.99/4.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB3, constB4)) | ((~v102(constB4)) <=> v104(constB4))),
% 6.99/4.91 inference(modus_ponens,[status(thm)],[3520, 3519])).
% 6.99/4.91 tff(3522,plain,
% 6.99/4.91 ((~v102(constB4)) <=> v104(constB4)),
% 6.99/4.91 inference(unit_resolution,[status(thm)],[3521, 3046, 3244])).
% 6.99/4.91 tff(3523,plain,
% 6.99/4.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB3, constB4)) | (v104(constB4) <=> v1(constB3)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB3, constB4)) | (v104(constB4) <=> v1(constB3)))),
% 6.99/4.91 inference(rewrite,[status(thm)],[])).
% 6.99/4.91 tff(3524,plain,
% 6.99/4.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB3, constB4)) | (v104(constB4) <=> v1(constB3)))),
% 6.99/4.91 inference(quant_inst,[status(thm)],[])).
% 6.99/4.91 tff(3525,plain,
% 6.99/4.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB3, constB4)) | (v104(constB4) <=> v1(constB3))),
% 6.99/4.91 inference(modus_ponens,[status(thm)],[3524, 3523])).
% 6.99/4.91 tff(3526,plain,
% 6.99/4.91 (v104(constB4) <=> v1(constB3)),
% 6.99/4.91 inference(unit_resolution,[status(thm)],[3525, 3046, 3258])).
% 6.99/4.91 tff(3527,plain,
% 6.99/4.91 ((~(v104(constB4) <=> v1(constB3))) | (~v104(constB4)) | v1(constB3)),
% 6.99/4.91 inference(tautology,[status(thm)],[])).
% 6.99/4.91 tff(3528,plain,
% 6.99/4.91 ((~(v104(constB4) <=> v1(constB3))) | (~v104(constB4))),
% 6.99/4.91 inference(unit_resolution,[status(thm)],[3527, 3090])).
% 6.99/4.91 tff(3529,plain,
% 6.99/4.91 (~v104(constB4)),
% 6.99/4.91 inference(unit_resolution,[status(thm)],[3528, 3526])).
% 6.99/4.91 tff(3530,plain,
% 6.99/4.91 ((~((~v102(constB4)) <=> v104(constB4))) | v102(constB4) | v104(constB4)),
% 6.99/4.91 inference(tautology,[status(thm)],[])).
% 6.99/4.91 tff(3531,plain,
% 6.99/4.91 (v102(constB4)),
% 6.99/4.91 inference(unit_resolution,[status(thm)],[3530, 3529, 3522])).
% 6.99/4.91 tff(3532,plain,
% 6.99/4.91 (v1(constB4) <=> v1(constB4)),
% 6.99/4.91 inference(rewrite,[status(thm)],[])).
% 6.99/4.91 tff(3533,axiom,(v1(constB4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_4')).
% 6.99/4.91 tff(3534,plain,
% 6.99/4.91 (v1(constB4)),
% 6.99/4.91 inference(modus_ponens,[status(thm)],[3533, 3532])).
% 6.99/4.91 tff(3535,plain,
% 6.99/4.91 ((~((~v1(constB4)) | (~v102(constB4)))) | (~v1(constB4)) | (~v102(constB4))),
% 6.99/4.91 inference(tautology,[status(thm)],[])).
% 6.99/4.91 tff(3536,plain,
% 6.99/4.91 ((~((~v1(constB4)) | (~v102(constB4)))) | (~v102(constB4))),
% 6.99/4.91 inference(unit_resolution,[status(thm)],[3535, 3534])).
% 6.99/4.91 tff(3537,plain,
% 6.99/4.91 (~((~v1(constB4)) | (~v102(constB4)))),
% 6.99/4.91 inference(unit_resolution,[status(thm)],[3536, 3531])).
% 6.99/4.91 tff(3538,plain,
% 6.99/4.91 ((~(v101(constB4) <=> (~((~v1(constB4)) | (~v102(constB4)))))) | v101(constB4) | ((~v1(constB4)) | (~v102(constB4)))),
% 6.99/4.91 inference(tautology,[status(thm)],[])).
% 6.99/4.91 tff(3539,plain,
% 6.99/4.91 (v101(constB4)),
% 6.99/4.91 inference(unit_resolution,[status(thm)],[3538, 3537, 3518])).
% 6.99/4.91 tff(3540,plain,
% 6.99/4.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB3, constB4)) | (v110(constB4) <=> v108(constB3)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB3, constB4)) | (v110(constB4) <=> v108(constB3)))),
% 6.99/4.91 inference(rewrite,[status(thm)],[])).
% 6.99/4.91 tff(3541,plain,
% 6.99/4.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB3, constB4)) | (v110(constB4) <=> v108(constB3)))),
% 6.99/4.91 inference(quant_inst,[status(thm)],[])).
% 6.99/4.91 tff(3542,plain,
% 6.99/4.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB3, constB4)) | (v110(constB4) <=> v108(constB3))),
% 6.99/4.91 inference(modus_ponens,[status(thm)],[3541, 3540])).
% 6.99/4.91 tff(3543,plain,
% 6.99/4.91 (v110(constB4) <=> v108(constB3)),
% 6.99/4.91 inference(unit_resolution,[status(thm)],[3542, 3046, 3285])).
% 6.99/4.91 tff(3544,plain,
% 6.99/4.91 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB3) <=> (v111(constB3) | v112(constB3)))),
% 6.99/4.91 inference(quant_inst,[status(thm)],[])).
% 6.99/4.91 tff(3545,plain,
% 6.99/4.91 (v108(constB3) <=> (v111(constB3) | v112(constB3))),
% 6.99/4.91 inference(unit_resolution,[status(thm)],[3544, 3296])).
% 6.99/4.91 tff(3546,plain,
% 6.99/4.91 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB3) <=> (~((~v113(constB3)) | (~v126(constB3)))))),
% 6.99/4.91 inference(quant_inst,[status(thm)],[])).
% 6.99/4.91 tff(3547,plain,
% 6.99/4.91 (v112(constB3) <=> (~((~v113(constB3)) | (~v126(constB3))))),
% 6.99/4.91 inference(unit_resolution,[status(thm)],[3546, 3308])).
% 6.99/4.91 tff(3548,plain,
% 6.99/4.91 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB3) <=> (v114(constB3) | v125(constB3)))),
% 6.99/4.91 inference(quant_inst,[status(thm)],[])).
% 6.99/4.91 tff(3549,plain,
% 6.99/4.91 (v113(constB3) <=> (v114(constB3) | v125(constB3))),
% 6.99/4.91 inference(unit_resolution,[status(thm)],[3548, 3317])).
% 6.99/4.91 tff(3550,plain,
% 6.99/4.91 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB3) <=> (v115(constB3) | v124(constB3)))),
% 6.99/4.91 inference(quant_inst,[status(thm)],[])).
% 6.99/4.91 tff(3551,plain,
% 6.99/4.91 (v114(constB3) <=> (v115(constB3) | v124(constB3))),
% 6.99/4.91 inference(unit_resolution,[status(thm)],[3550, 3326])).
% 6.99/4.91 tff(3552,plain,
% 6.99/4.91 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB3) <=> (v116(constB3) | v123(constB3)))),
% 6.99/4.91 inference(quant_inst,[status(thm)],[])).
% 6.99/4.91 tff(3553,plain,
% 6.99/4.91 (v115(constB3) <=> (v116(constB3) | v123(constB3))),
% 6.99/4.91 inference(unit_resolution,[status(thm)],[3552, 3335])).
% 6.99/4.91 tff(3554,plain,
% 6.99/4.91 ((v116(constB3) | v123(constB3)) | (~v123(constB3))),
% 6.99/4.91 inference(tautology,[status(thm)],[])).
% 6.99/4.91 tff(3555,plain,
% 6.99/4.91 (v116(constB3) | v123(constB3)),
% 6.99/4.91 inference(unit_resolution,[status(thm)],[3554, 3483])).
% 6.99/4.91 tff(3556,plain,
% 6.99/4.91 ((~(v115(constB3) <=> (v116(constB3) | v123(constB3)))) | v115(constB3) | (~(v116(constB3) | v123(constB3)))),
% 6.99/4.91 inference(tautology,[status(thm)],[])).
% 6.99/4.91 tff(3557,plain,
% 6.99/4.91 (v115(constB3)),
% 6.99/4.91 inference(unit_resolution,[status(thm)],[3556, 3555, 3553])).
% 6.99/4.91 tff(3558,plain,
% 6.99/4.91 ((v115(constB3) | v124(constB3)) | (~v115(constB3))),
% 6.99/4.91 inference(tautology,[status(thm)],[])).
% 6.99/4.91 tff(3559,plain,
% 6.99/4.91 (v115(constB3) | v124(constB3)),
% 6.99/4.91 inference(unit_resolution,[status(thm)],[3558, 3557])).
% 6.99/4.91 tff(3560,plain,
% 6.99/4.91 ((~(v114(constB3) <=> (v115(constB3) | v124(constB3)))) | v114(constB3) | (~(v115(constB3) | v124(constB3)))),
% 6.99/4.91 inference(tautology,[status(thm)],[])).
% 6.99/4.91 tff(3561,plain,
% 6.99/4.91 (v114(constB3)),
% 6.99/4.91 inference(unit_resolution,[status(thm)],[3560, 3559, 3551])).
% 6.99/4.91 tff(3562,plain,
% 6.99/4.91 ((v114(constB3) | v125(constB3)) | (~v114(constB3))),
% 6.99/4.91 inference(tautology,[status(thm)],[])).
% 6.99/4.91 tff(3563,plain,
% 6.99/4.91 (v114(constB3) | v125(constB3)),
% 6.99/4.91 inference(unit_resolution,[status(thm)],[3562, 3561])).
% 6.99/4.91 tff(3564,plain,
% 6.99/4.91 ((~(v113(constB3) <=> (v114(constB3) | v125(constB3)))) | v113(constB3) | (~(v114(constB3) | v125(constB3)))),
% 6.99/4.91 inference(tautology,[status(thm)],[])).
% 6.99/4.91 tff(3565,plain,
% 6.99/4.91 (v113(constB3)),
% 6.99/4.91 inference(unit_resolution,[status(thm)],[3564, 3563, 3549])).
% 6.99/4.91 tff(3566,plain,
% 6.99/4.91 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB3)) <=> v111(constB3))),
% 6.99/4.91 inference(quant_inst,[status(thm)],[])).
% 6.99/4.91 tff(3567,plain,
% 6.99/4.91 ((~v126(constB3)) <=> v111(constB3)),
% 6.99/4.91 inference(unit_resolution,[status(thm)],[3566, 3396])).
% 6.99/4.91 tff(3568,plain,
% 6.99/4.91 ((~((~v126(constB3)) <=> v111(constB3))) | v126(constB3) | v111(constB3)),
% 6.99/4.91 inference(tautology,[status(thm)],[])).
% 6.99/4.91 tff(3569,plain,
% 6.99/4.91 ((~((~v126(constB3)) <=> v111(constB3))) | v126(constB3)),
% 6.99/4.91 inference(unit_resolution,[status(thm)],[3568, 3059])).
% 6.99/4.91 tff(3570,plain,
% 6.99/4.91 (v126(constB3)),
% 6.99/4.91 inference(unit_resolution,[status(thm)],[3569, 3567])).
% 6.99/4.91 tff(3571,plain,
% 6.99/4.91 ((~((~v113(constB3)) | (~v126(constB3)))) | (~v113(constB3)) | (~v126(constB3))),
% 6.99/4.91 inference(tautology,[status(thm)],[])).
% 6.99/4.91 tff(3572,plain,
% 6.99/4.91 ((~((~v113(constB3)) | (~v126(constB3)))) | (~v113(constB3))),
% 6.99/4.91 inference(unit_resolution,[status(thm)],[3571, 3570])).
% 6.99/4.91 tff(3573,plain,
% 6.99/4.91 (~((~v113(constB3)) | (~v126(constB3)))),
% 6.99/4.91 inference(unit_resolution,[status(thm)],[3572, 3565])).
% 6.99/4.91 tff(3574,plain,
% 6.99/4.91 ((~(v112(constB3) <=> (~((~v113(constB3)) | (~v126(constB3)))))) | v112(constB3) | ((~v113(constB3)) | (~v126(constB3)))),
% 6.99/4.91 inference(tautology,[status(thm)],[])).
% 6.99/4.91 tff(3575,plain,
% 6.99/4.91 (v112(constB3)),
% 6.99/4.91 inference(unit_resolution,[status(thm)],[3574, 3573, 3547])).
% 6.99/4.91 tff(3576,plain,
% 6.99/4.91 ((v111(constB3) | v112(constB3)) | (~v112(constB3))),
% 6.99/4.91 inference(tautology,[status(thm)],[])).
% 6.99/4.91 tff(3577,plain,
% 6.99/4.91 (v111(constB3) | v112(constB3)),
% 6.99/4.91 inference(unit_resolution,[status(thm)],[3576, 3575])).
% 6.99/4.91 tff(3578,plain,
% 6.99/4.91 ((~(v108(constB3) <=> (v111(constB3) | v112(constB3)))) | v108(constB3) | (~(v111(constB3) | v112(constB3)))),
% 6.99/4.91 inference(tautology,[status(thm)],[])).
% 6.99/4.91 tff(3579,plain,
% 6.99/4.91 (v108(constB3)),
% 6.99/4.91 inference(unit_resolution,[status(thm)],[3578, 3577, 3545])).
% 6.99/4.91 tff(3580,plain,
% 6.99/4.91 ((~(v110(constB4) <=> v108(constB3))) | v110(constB4) | (~v108(constB3))),
% 6.99/4.91 inference(tautology,[status(thm)],[])).
% 6.99/4.91 tff(3581,plain,
% 6.99/4.91 (v110(constB4)),
% 6.99/4.91 inference(unit_resolution,[status(thm)],[3580, 3579, 3543])).
% 6.99/4.91 tff(3582,plain,
% 6.99/4.91 ((~((~v101(constB4)) | (~v110(constB4)))) | (~v101(constB4)) | (~v110(constB4))),
% 6.99/4.91 inference(tautology,[status(thm)],[])).
% 6.99/4.91 tff(3583,plain,
% 6.99/4.91 (~((~v101(constB4)) | (~v110(constB4)))),
% 6.99/4.91 inference(unit_resolution,[status(thm)],[3582, 3581, 3539])).
% 6.99/4.91 tff(3584,plain,
% 6.99/4.91 ((~(v100(constB4) <=> (~((~v101(constB4)) | (~v110(constB4)))))) | v100(constB4) | ((~v101(constB4)) | (~v110(constB4)))),
% 6.99/4.91 inference(tautology,[status(thm)],[])).
% 6.99/4.91 tff(3585,plain,
% 6.99/4.91 (v100(constB4)),
% 6.99/4.91 inference(unit_resolution,[status(thm)],[3584, 3583, 3511])).
% 6.99/4.91 tff(3586,plain,
% 6.99/4.91 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB4)) | (~(((~v90(constB4, bitIndex2)) <=> v129(constB4, bitIndex2)) | ((~v90(constB4, bitIndex1)) <=> v129(constB4, bitIndex1)) | ((~v90(constB4, bitIndex0)) <=> v129(constB4, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB4)) | (~(((~v90(constB4, bitIndex2)) <=> v129(constB4, bitIndex2)) | ((~v90(constB4, bitIndex1)) <=> v129(constB4, bitIndex1)) | ((~v90(constB4, bitIndex0)) <=> v129(constB4, bitIndex0)))))),
% 6.99/4.91 inference(rewrite,[status(thm)],[])).
% 6.99/4.91 tff(3587,plain,
% 6.99/4.91 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB4)) | (~(((~v90(constB4, bitIndex2)) <=> v129(constB4, bitIndex2)) | ((~v90(constB4, bitIndex1)) <=> v129(constB4, bitIndex1)) | ((~v90(constB4, bitIndex0)) <=> v129(constB4, bitIndex0)))))),
% 6.99/4.92 inference(quant_inst,[status(thm)],[])).
% 6.99/4.92 tff(3588,plain,
% 6.99/4.92 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB4)) | (~(((~v90(constB4, bitIndex2)) <=> v129(constB4, bitIndex2)) | ((~v90(constB4, bitIndex1)) <=> v129(constB4, bitIndex1)) | ((~v90(constB4, bitIndex0)) <=> v129(constB4, bitIndex0))))),
% 6.99/4.92 inference(modus_ponens,[status(thm)],[3587, 3586])).
% 6.99/4.92 tff(3589,plain,
% 6.99/4.92 ((~v100(constB4)) | (~(((~v90(constB4, bitIndex2)) <=> v129(constB4, bitIndex2)) | ((~v90(constB4, bitIndex1)) <=> v129(constB4, bitIndex1)) | ((~v90(constB4, bitIndex0)) <=> v129(constB4, bitIndex0))))),
% 6.99/4.92 inference(unit_resolution,[status(thm)],[3588, 3429])).
% 6.99/4.92 tff(3590,plain,
% 6.99/4.92 (~(((~v90(constB4, bitIndex2)) <=> v129(constB4, bitIndex2)) | ((~v90(constB4, bitIndex1)) <=> v129(constB4, bitIndex1)) | ((~v90(constB4, bitIndex0)) <=> v129(constB4, bitIndex0)))),
% 6.99/4.92 inference(unit_resolution,[status(thm)],[3589, 3585])).
% 6.99/4.92 tff(3591,plain,
% 6.99/4.92 ((((~v90(constB4, bitIndex2)) <=> v129(constB4, bitIndex2)) | ((~v90(constB4, bitIndex1)) <=> v129(constB4, bitIndex1)) | ((~v90(constB4, bitIndex0)) <=> v129(constB4, bitIndex0))) | (~((~v90(constB4, bitIndex2)) <=> v129(constB4, bitIndex2)))),
% 6.99/4.92 inference(tautology,[status(thm)],[])).
% 6.99/4.92 tff(3592,plain,
% 6.99/4.92 (~((~v90(constB4, bitIndex2)) <=> v129(constB4, bitIndex2))),
% 6.99/4.92 inference(unit_resolution,[status(thm)],[3591, 3590])).
% 6.99/4.92 tff(3593,plain,
% 6.99/4.92 (((~v90(constB4, bitIndex2)) <=> v129(constB4, bitIndex2)) | v90(constB4, bitIndex2) | (~v129(constB4, bitIndex2))),
% 6.99/4.92 inference(tautology,[status(thm)],[])).
% 6.99/4.92 tff(3594,plain,
% 6.99/4.92 (v90(constB4, bitIndex2)),
% 6.99/4.92 inference(unit_resolution,[status(thm)],[3593, 3592, 3507])).
% 6.99/4.92 tff(3595,plain,
% 6.99/4.92 (((~v90(constB5, bitIndex2)) <=> v90(constB4, bitIndex2)) | v90(constB5, bitIndex2) | (~v90(constB4, bitIndex2))),
% 6.99/4.92 inference(tautology,[status(thm)],[])).
% 6.99/4.92 tff(3596,plain,
% 6.99/4.92 (v90(constB5, bitIndex2)),
% 6.99/4.92 inference(unit_resolution,[status(thm)],[3595, 3594, 3043])).
% 6.99/4.92 tff(3597,plain,
% 6.99/4.92 ((v90(constB5, bitIndex0) | v90(constB5, bitIndex1) | v90(constB5, bitIndex2)) | (~v90(constB5, bitIndex2))),
% 6.99/4.92 inference(tautology,[status(thm)],[])).
% 6.99/4.92 tff(3598,plain,
% 6.99/4.92 (v90(constB5, bitIndex0) | v90(constB5, bitIndex1) | v90(constB5, bitIndex2)),
% 6.99/4.92 inference(unit_resolution,[status(thm)],[3597, 3596])).
% 6.99/4.92 tff(3599,plain,
% 6.99/4.92 ((~(v119(constB5) <=> (~(v90(constB5, bitIndex0) | v90(constB5, bitIndex1) | v90(constB5, bitIndex2))))) | (~v119(constB5)) | (~(v90(constB5, bitIndex0) | v90(constB5, bitIndex1) | v90(constB5, bitIndex2)))),
% 6.99/4.92 inference(tautology,[status(thm)],[])).
% 6.99/4.92 tff(3600,plain,
% 6.99/4.92 (~v119(constB5)),
% 6.99/4.92 inference(unit_resolution,[status(thm)],[3599, 3598, 3007])).
% 6.99/4.92 tff(3601,plain,
% 6.99/4.92 (^[VarCurr: $i] : refl((v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2))))) <=> (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2))))))),
% 6.99/4.92 inference(bind,[status(th)],[])).
% 6.99/4.92 tff(3602,plain,
% 6.99/4.92 (![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2))))) <=> ![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))),
% 6.99/4.92 inference(quant_intro,[status(thm)],[3601])).
% 6.99/4.92 tff(3603,plain,
% 6.99/4.92 (^[VarCurr: $i] : rewrite((v124(VarCurr) <=> (v90(VarCurr, bitIndex2) & (~v90(VarCurr, bitIndex1)) & v90(VarCurr, bitIndex0))) <=> (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2))))))),
% 6.99/4.92 inference(bind,[status(th)],[])).
% 6.99/4.92 tff(3604,plain,
% 6.99/4.92 (![VarCurr: $i] : (v124(VarCurr) <=> (v90(VarCurr, bitIndex2) & (~v90(VarCurr, bitIndex1)) & v90(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))),
% 6.99/4.92 inference(quant_intro,[status(thm)],[3603])).
% 6.99/4.92 tff(3605,plain,
% 6.99/4.92 (![VarCurr: $i] : (v124(VarCurr) <=> (v90(VarCurr, bitIndex2) & (~v90(VarCurr, bitIndex1)) & v90(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : (v124(VarCurr) <=> (v90(VarCurr, bitIndex2) & (~v90(VarCurr, bitIndex1)) & v90(VarCurr, bitIndex0)))),
% 6.99/4.92 inference(rewrite,[status(thm)],[])).
% 6.99/4.92 tff(3606,plain,
% 6.99/4.92 (^[VarCurr: $i] : rewrite((v124(VarCurr) <=> (((v90(VarCurr, bitIndex2) <=> $true) & (v90(VarCurr, bitIndex1) <=> $false)) & (v90(VarCurr, bitIndex0) <=> $true))) <=> (v124(VarCurr) <=> (v90(VarCurr, bitIndex2) & (~v90(VarCurr, bitIndex1)) & v90(VarCurr, bitIndex0))))),
% 6.99/4.92 inference(bind,[status(th)],[])).
% 6.99/4.92 tff(3607,plain,
% 6.99/4.92 (![VarCurr: $i] : (v124(VarCurr) <=> (((v90(VarCurr, bitIndex2) <=> $true) & (v90(VarCurr, bitIndex1) <=> $false)) & (v90(VarCurr, bitIndex0) <=> $true))) <=> ![VarCurr: $i] : (v124(VarCurr) <=> (v90(VarCurr, bitIndex2) & (~v90(VarCurr, bitIndex1)) & v90(VarCurr, bitIndex0)))),
% 6.99/4.92 inference(quant_intro,[status(thm)],[3606])).
% 6.99/4.92 tff(3608,axiom,(![VarCurr: $i] : (v124(VarCurr) <=> (((v90(VarCurr, bitIndex2) <=> $true) & (v90(VarCurr, bitIndex1) <=> $false)) & (v90(VarCurr, bitIndex0) <=> $true)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_7')).
% 6.99/4.92 tff(3609,plain,
% 6.99/4.92 (![VarCurr: $i] : (v124(VarCurr) <=> (v90(VarCurr, bitIndex2) & (~v90(VarCurr, bitIndex1)) & v90(VarCurr, bitIndex0)))),
% 6.99/4.92 inference(modus_ponens,[status(thm)],[3608, 3607])).
% 6.99/4.92 tff(3610,plain,
% 6.99/4.92 (![VarCurr: $i] : (v124(VarCurr) <=> (v90(VarCurr, bitIndex2) & (~v90(VarCurr, bitIndex1)) & v90(VarCurr, bitIndex0)))),
% 6.99/4.92 inference(modus_ponens,[status(thm)],[3609, 3605])).
% 6.99/4.92 tff(3611,plain,(
% 6.99/4.92 ![VarCurr: $i] : (v124(VarCurr) <=> (v90(VarCurr, bitIndex2) & (~v90(VarCurr, bitIndex1)) & v90(VarCurr, bitIndex0)))),
% 6.99/4.92 inference(skolemize,[status(sab)],[3610])).
% 6.99/4.92 tff(3612,plain,
% 6.99/4.92 (![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))),
% 6.99/4.92 inference(modus_ponens,[status(thm)],[3611, 3604])).
% 6.99/4.92 tff(3613,plain,
% 6.99/4.92 (![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))),
% 6.99/4.92 inference(modus_ponens,[status(thm)],[3612, 3602])).
% 6.99/4.92 tff(3614,plain,
% 6.99/4.92 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB5) <=> (~(v90(constB5, bitIndex1) | (~v90(constB5, bitIndex2)) | (~v90(constB5, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB5) <=> (~(v90(constB5, bitIndex1) | (~v90(constB5, bitIndex2)) | (~v90(constB5, bitIndex0))))))),
% 6.99/4.92 inference(rewrite,[status(thm)],[])).
% 6.99/4.92 tff(3615,plain,
% 6.99/4.92 ((v124(constB5) <=> (~(v90(constB5, bitIndex1) | (~v90(constB5, bitIndex0)) | (~v90(constB5, bitIndex2))))) <=> (v124(constB5) <=> (~(v90(constB5, bitIndex1) | (~v90(constB5, bitIndex2)) | (~v90(constB5, bitIndex0)))))),
% 6.99/4.92 inference(rewrite,[status(thm)],[])).
% 6.99/4.92 tff(3616,plain,
% 6.99/4.92 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB5) <=> (~(v90(constB5, bitIndex1) | (~v90(constB5, bitIndex0)) | (~v90(constB5, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB5) <=> (~(v90(constB5, bitIndex1) | (~v90(constB5, bitIndex2)) | (~v90(constB5, bitIndex0))))))),
% 6.99/4.92 inference(monotonicity,[status(thm)],[3615])).
% 6.99/4.92 tff(3617,plain,
% 6.99/4.92 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB5) <=> (~(v90(constB5, bitIndex1) | (~v90(constB5, bitIndex0)) | (~v90(constB5, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB5) <=> (~(v90(constB5, bitIndex1) | (~v90(constB5, bitIndex2)) | (~v90(constB5, bitIndex0))))))),
% 6.99/4.92 inference(transitivity,[status(thm)],[3616, 3614])).
% 6.99/4.92 tff(3618,plain,
% 6.99/4.92 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB5) <=> (~(v90(constB5, bitIndex1) | (~v90(constB5, bitIndex0)) | (~v90(constB5, bitIndex2)))))),
% 6.99/4.92 inference(quant_inst,[status(thm)],[])).
% 6.99/4.92 tff(3619,plain,
% 6.99/4.92 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB5) <=> (~(v90(constB5, bitIndex1) | (~v90(constB5, bitIndex2)) | (~v90(constB5, bitIndex0)))))),
% 6.99/4.92 inference(modus_ponens,[status(thm)],[3618, 3617])).
% 6.99/4.92 tff(3620,plain,
% 6.99/4.92 (v124(constB5) <=> (~(v90(constB5, bitIndex1) | (~v90(constB5, bitIndex2)) | (~v90(constB5, bitIndex0))))),
% 6.99/4.92 inference(unit_resolution,[status(thm)],[3619, 3613])).
% 6.99/4.92 tff(3621,plain,
% 6.99/4.92 ((((~v90(constB5, bitIndex1)) <=> v90(constB4, bitIndex1)) | ((~v90(constB5, bitIndex2)) <=> v90(constB4, bitIndex2)) | ((~v90(constB5, bitIndex0)) <=> v90(constB4, bitIndex0))) | (~((~v90(constB5, bitIndex1)) <=> v90(constB4, bitIndex1)))),
% 6.99/4.92 inference(tautology,[status(thm)],[])).
% 6.99/4.92 tff(3622,plain,
% 6.99/4.92 (~((~v90(constB5, bitIndex1)) <=> v90(constB4, bitIndex1))),
% 6.99/4.92 inference(unit_resolution,[status(thm)],[3621, 3041])).
% 6.99/4.92 tff(3623,plain,
% 6.99/4.92 ((((~v129(constB4, bitIndex2)) <=> v127(constB3, bitIndex2)) | ((~v129(constB4, bitIndex1)) <=> v127(constB3, bitIndex1)) | ((~v129(constB4, bitIndex0)) <=> v127(constB3, bitIndex0))) | (~((~v129(constB4, bitIndex1)) <=> v127(constB3, bitIndex1)))),
% 6.99/4.92 inference(tautology,[status(thm)],[])).
% 6.99/4.92 tff(3624,plain,
% 6.99/4.92 (~((~v129(constB4, bitIndex1)) <=> v127(constB3, bitIndex1))),
% 6.99/4.92 inference(unit_resolution,[status(thm)],[3623, 3050])).
% 6.99/4.92 tff(3625,plain,
% 6.99/4.92 ((((~v127(constB3, bitIndex2)) <=> v130(constB3, bitIndex2)) | ((~v127(constB3, bitIndex1)) <=> v130(constB3, bitIndex1)) | ((~v127(constB3, bitIndex0)) <=> v130(constB3, bitIndex0))) | (~((~v127(constB3, bitIndex1)) <=> v130(constB3, bitIndex1)))),
% 6.99/4.92 inference(tautology,[status(thm)],[])).
% 6.99/4.92 tff(3626,plain,
% 6.99/4.92 (~((~v127(constB3, bitIndex1)) <=> v130(constB3, bitIndex1))),
% 6.99/4.92 inference(unit_resolution,[status(thm)],[3625, 3064])).
% 6.99/4.92 tff(3627,plain,
% 6.99/4.92 ((v130(constB3, bitIndex0) | (~v130(constB3, bitIndex2)) | (~v130(constB3, bitIndex1))) | v130(constB3, bitIndex1)),
% 6.99/4.92 inference(tautology,[status(thm)],[])).
% 6.99/4.92 tff(3628,plain,
% 6.99/4.92 (v130(constB3, bitIndex1)),
% 6.99/4.92 inference(unit_resolution,[status(thm)],[3627, 3501])).
% 6.99/4.92 tff(3629,plain,
% 6.99/4.92 (((~v127(constB3, bitIndex1)) <=> v130(constB3, bitIndex1)) | v127(constB3, bitIndex1) | (~v130(constB3, bitIndex1))),
% 6.99/4.92 inference(tautology,[status(thm)],[])).
% 6.99/4.92 tff(3630,plain,
% 6.99/4.92 (v127(constB3, bitIndex1)),
% 6.99/4.92 inference(unit_resolution,[status(thm)],[3629, 3628, 3626])).
% 6.99/4.92 tff(3631,plain,
% 6.99/4.92 (((~v129(constB4, bitIndex1)) <=> v127(constB3, bitIndex1)) | v129(constB4, bitIndex1) | (~v127(constB3, bitIndex1))),
% 6.99/4.92 inference(tautology,[status(thm)],[])).
% 6.99/4.92 tff(3632,plain,
% 6.99/4.92 (v129(constB4, bitIndex1)),
% 6.99/4.92 inference(unit_resolution,[status(thm)],[3631, 3630, 3624])).
% 6.99/4.92 tff(3633,plain,
% 6.99/4.92 ((((~v90(constB4, bitIndex2)) <=> v129(constB4, bitIndex2)) | ((~v90(constB4, bitIndex1)) <=> v129(constB4, bitIndex1)) | ((~v90(constB4, bitIndex0)) <=> v129(constB4, bitIndex0))) | (~((~v90(constB4, bitIndex1)) <=> v129(constB4, bitIndex1)))),
% 6.99/4.92 inference(tautology,[status(thm)],[])).
% 6.99/4.92 tff(3634,plain,
% 6.99/4.92 (~((~v90(constB4, bitIndex1)) <=> v129(constB4, bitIndex1))),
% 6.99/4.92 inference(unit_resolution,[status(thm)],[3633, 3590])).
% 6.99/4.92 tff(3635,plain,
% 6.99/4.92 (((~v90(constB4, bitIndex1)) <=> v129(constB4, bitIndex1)) | v90(constB4, bitIndex1) | (~v129(constB4, bitIndex1))),
% 6.99/4.92 inference(tautology,[status(thm)],[])).
% 6.99/4.92 tff(3636,plain,
% 6.99/4.92 (v90(constB4, bitIndex1)),
% 6.99/4.92 inference(unit_resolution,[status(thm)],[3635, 3634, 3632])).
% 6.99/4.92 tff(3637,plain,
% 6.99/4.92 (((~v90(constB5, bitIndex1)) <=> v90(constB4, bitIndex1)) | v90(constB5, bitIndex1) | (~v90(constB4, bitIndex1))),
% 6.99/4.92 inference(tautology,[status(thm)],[])).
% 6.99/4.92 tff(3638,plain,
% 6.99/4.92 (v90(constB5, bitIndex1)),
% 6.99/4.92 inference(unit_resolution,[status(thm)],[3637, 3636, 3622])).
% 6.99/4.92 tff(3639,plain,
% 6.99/4.92 ((v90(constB5, bitIndex1) | (~v90(constB5, bitIndex2)) | (~v90(constB5, bitIndex0))) | (~v90(constB5, bitIndex1))),
% 6.99/4.92 inference(tautology,[status(thm)],[])).
% 6.99/4.92 tff(3640,plain,
% 6.99/4.92 (v90(constB5, bitIndex1) | (~v90(constB5, bitIndex2)) | (~v90(constB5, bitIndex0))),
% 6.99/4.92 inference(unit_resolution,[status(thm)],[3639, 3638])).
% 6.99/4.92 tff(3641,plain,
% 6.99/4.92 ((~(v124(constB5) <=> (~(v90(constB5, bitIndex1) | (~v90(constB5, bitIndex2)) | (~v90(constB5, bitIndex0)))))) | (~v124(constB5)) | (~(v90(constB5, bitIndex1) | (~v90(constB5, bitIndex2)) | (~v90(constB5, bitIndex0))))),
% 6.99/4.92 inference(tautology,[status(thm)],[])).
% 6.99/4.92 tff(3642,plain,
% 6.99/4.92 (~v124(constB5)),
% 6.99/4.92 inference(unit_resolution,[status(thm)],[3641, 3640, 3620])).
% 6.99/4.92 tff(3643,plain,
% 6.99/4.92 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB5) <=> (~(v90(constB5, bitIndex1) | v90(constB5, bitIndex0) | (~v90(constB5, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB5) <=> (~(v90(constB5, bitIndex1) | v90(constB5, bitIndex0) | (~v90(constB5, bitIndex2))))))),
% 6.99/4.92 inference(rewrite,[status(thm)],[])).
% 6.99/4.92 tff(3644,plain,
% 6.99/4.92 ((v123(constB5) <=> (~(v90(constB5, bitIndex0) | v90(constB5, bitIndex1) | (~v90(constB5, bitIndex2))))) <=> (v123(constB5) <=> (~(v90(constB5, bitIndex1) | v90(constB5, bitIndex0) | (~v90(constB5, bitIndex2)))))),
% 6.99/4.92 inference(rewrite,[status(thm)],[])).
% 6.99/4.92 tff(3645,plain,
% 6.99/4.92 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB5) <=> (~(v90(constB5, bitIndex0) | v90(constB5, bitIndex1) | (~v90(constB5, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB5) <=> (~(v90(constB5, bitIndex1) | v90(constB5, bitIndex0) | (~v90(constB5, bitIndex2))))))),
% 6.99/4.92 inference(monotonicity,[status(thm)],[3644])).
% 6.99/4.92 tff(3646,plain,
% 6.99/4.92 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB5) <=> (~(v90(constB5, bitIndex0) | v90(constB5, bitIndex1) | (~v90(constB5, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB5) <=> (~(v90(constB5, bitIndex1) | v90(constB5, bitIndex0) | (~v90(constB5, bitIndex2))))))),
% 6.99/4.92 inference(transitivity,[status(thm)],[3645, 3643])).
% 6.99/4.92 tff(3647,plain,
% 6.99/4.92 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB5) <=> (~(v90(constB5, bitIndex0) | v90(constB5, bitIndex1) | (~v90(constB5, bitIndex2)))))),
% 6.99/4.92 inference(quant_inst,[status(thm)],[])).
% 6.99/4.92 tff(3648,plain,
% 6.99/4.92 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB5) <=> (~(v90(constB5, bitIndex1) | v90(constB5, bitIndex0) | (~v90(constB5, bitIndex2)))))),
% 6.99/4.92 inference(modus_ponens,[status(thm)],[3647, 3646])).
% 6.99/4.92 tff(3649,plain,
% 6.99/4.92 (v123(constB5) <=> (~(v90(constB5, bitIndex1) | v90(constB5, bitIndex0) | (~v90(constB5, bitIndex2))))),
% 6.99/4.92 inference(unit_resolution,[status(thm)],[3648, 800])).
% 6.99/4.92 tff(3650,plain,
% 6.99/4.92 ((v90(constB5, bitIndex1) | v90(constB5, bitIndex0) | (~v90(constB5, bitIndex2))) | (~v90(constB5, bitIndex1))),
% 6.99/4.92 inference(tautology,[status(thm)],[])).
% 6.99/4.92 tff(3651,plain,
% 6.99/4.92 (v90(constB5, bitIndex1) | v90(constB5, bitIndex0) | (~v90(constB5, bitIndex2))),
% 6.99/4.92 inference(unit_resolution,[status(thm)],[3650, 3638])).
% 6.99/4.92 tff(3652,plain,
% 6.99/4.92 ((~(v123(constB5) <=> (~(v90(constB5, bitIndex1) | v90(constB5, bitIndex0) | (~v90(constB5, bitIndex2)))))) | (~v123(constB5)) | (~(v90(constB5, bitIndex1) | v90(constB5, bitIndex0) | (~v90(constB5, bitIndex2))))),
% 6.99/4.92 inference(tautology,[status(thm)],[])).
% 6.99/4.92 tff(3653,plain,
% 6.99/4.92 (~v123(constB5)),
% 6.99/4.92 inference(unit_resolution,[status(thm)],[3652, 3651, 3649])).
% 6.99/4.92 tff(3654,plain,
% 6.99/4.92 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB5) <=> (~(v90(constB5, bitIndex2) | (~v90(constB5, bitIndex1)) | (~v90(constB5, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB5) <=> (~(v90(constB5, bitIndex2) | (~v90(constB5, bitIndex1)) | (~v90(constB5, bitIndex0))))))),
% 6.99/4.92 inference(rewrite,[status(thm)],[])).
% 6.99/4.92 tff(3655,plain,
% 6.99/4.92 ((v122(constB5) <=> (~(v90(constB5, bitIndex2) | (~v90(constB5, bitIndex0)) | (~v90(constB5, bitIndex1))))) <=> (v122(constB5) <=> (~(v90(constB5, bitIndex2) | (~v90(constB5, bitIndex1)) | (~v90(constB5, bitIndex0)))))),
% 6.99/4.92 inference(rewrite,[status(thm)],[])).
% 6.99/4.92 tff(3656,plain,
% 6.99/4.92 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB5) <=> (~(v90(constB5, bitIndex2) | (~v90(constB5, bitIndex0)) | (~v90(constB5, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB5) <=> (~(v90(constB5, bitIndex2) | (~v90(constB5, bitIndex1)) | (~v90(constB5, bitIndex0))))))),
% 6.99/4.92 inference(monotonicity,[status(thm)],[3655])).
% 6.99/4.92 tff(3657,plain,
% 6.99/4.92 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB5) <=> (~(v90(constB5, bitIndex2) | (~v90(constB5, bitIndex0)) | (~v90(constB5, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB5) <=> (~(v90(constB5, bitIndex2) | (~v90(constB5, bitIndex1)) | (~v90(constB5, bitIndex0))))))),
% 6.99/4.92 inference(transitivity,[status(thm)],[3656, 3654])).
% 6.99/4.92 tff(3658,plain,
% 6.99/4.92 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB5) <=> (~(v90(constB5, bitIndex2) | (~v90(constB5, bitIndex0)) | (~v90(constB5, bitIndex1)))))),
% 6.99/4.92 inference(quant_inst,[status(thm)],[])).
% 6.99/4.92 tff(3659,plain,
% 6.99/4.92 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB5) <=> (~(v90(constB5, bitIndex2) | (~v90(constB5, bitIndex1)) | (~v90(constB5, bitIndex0)))))),
% 6.99/4.92 inference(modus_ponens,[status(thm)],[3658, 3657])).
% 6.99/4.92 tff(3660,plain,
% 6.99/4.92 (v122(constB5) <=> (~(v90(constB5, bitIndex2) | (~v90(constB5, bitIndex1)) | (~v90(constB5, bitIndex0))))),
% 6.99/4.92 inference(unit_resolution,[status(thm)],[3659, 879])).
% 6.99/4.92 tff(3661,plain,
% 6.99/4.92 ((v90(constB5, bitIndex2) | (~v90(constB5, bitIndex1)) | (~v90(constB5, bitIndex0))) | (~v90(constB5, bitIndex2))),
% 6.99/4.92 inference(tautology,[status(thm)],[])).
% 6.99/4.92 tff(3662,plain,
% 6.99/4.92 (v90(constB5, bitIndex2) | (~v90(constB5, bitIndex1)) | (~v90(constB5, bitIndex0))),
% 6.99/4.92 inference(unit_resolution,[status(thm)],[3661, 3596])).
% 6.99/4.92 tff(3663,plain,
% 6.99/4.92 ((~(v122(constB5) <=> (~(v90(constB5, bitIndex2) | (~v90(constB5, bitIndex1)) | (~v90(constB5, bitIndex0)))))) | (~v122(constB5)) | (~(v90(constB5, bitIndex2) | (~v90(constB5, bitIndex1)) | (~v90(constB5, bitIndex0))))),
% 6.99/4.92 inference(tautology,[status(thm)],[])).
% 6.99/4.92 tff(3664,plain,
% 6.99/4.92 (~v122(constB5)),
% 6.99/4.92 inference(unit_resolution,[status(thm)],[3663, 3662, 3660])).
% 6.99/4.92 tff(3665,plain,
% 6.99/4.92 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB5) <=> (~(v90(constB5, bitIndex2) | v90(constB5, bitIndex0) | (~v90(constB5, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB5) <=> (~(v90(constB5, bitIndex2) | v90(constB5, bitIndex0) | (~v90(constB5, bitIndex1))))))),
% 6.99/4.92 inference(rewrite,[status(thm)],[])).
% 6.99/4.92 tff(3666,plain,
% 6.99/4.92 ((v121(constB5) <=> (~(v90(constB5, bitIndex0) | v90(constB5, bitIndex2) | (~v90(constB5, bitIndex1))))) <=> (v121(constB5) <=> (~(v90(constB5, bitIndex2) | v90(constB5, bitIndex0) | (~v90(constB5, bitIndex1)))))),
% 6.99/4.92 inference(rewrite,[status(thm)],[])).
% 6.99/4.92 tff(3667,plain,
% 6.99/4.92 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB5) <=> (~(v90(constB5, bitIndex0) | v90(constB5, bitIndex2) | (~v90(constB5, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB5) <=> (~(v90(constB5, bitIndex2) | v90(constB5, bitIndex0) | (~v90(constB5, bitIndex1))))))),
% 6.99/4.92 inference(monotonicity,[status(thm)],[3666])).
% 6.99/4.92 tff(3668,plain,
% 6.99/4.92 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB5) <=> (~(v90(constB5, bitIndex0) | v90(constB5, bitIndex2) | (~v90(constB5, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB5) <=> (~(v90(constB5, bitIndex2) | v90(constB5, bitIndex0) | (~v90(constB5, bitIndex1))))))),
% 6.99/4.92 inference(transitivity,[status(thm)],[3667, 3665])).
% 6.99/4.92 tff(3669,plain,
% 6.99/4.92 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB5) <=> (~(v90(constB5, bitIndex0) | v90(constB5, bitIndex2) | (~v90(constB5, bitIndex1)))))),
% 6.99/4.92 inference(quant_inst,[status(thm)],[])).
% 6.99/4.92 tff(3670,plain,
% 6.99/4.92 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB5) <=> (~(v90(constB5, bitIndex2) | v90(constB5, bitIndex0) | (~v90(constB5, bitIndex1)))))),
% 6.99/4.92 inference(modus_ponens,[status(thm)],[3669, 3668])).
% 6.99/4.92 tff(3671,plain,
% 6.99/4.92 (v121(constB5) <=> (~(v90(constB5, bitIndex2) | v90(constB5, bitIndex0) | (~v90(constB5, bitIndex1))))),
% 6.99/4.92 inference(unit_resolution,[status(thm)],[3670, 586])).
% 6.99/4.92 tff(3672,plain,
% 6.99/4.92 ((v90(constB5, bitIndex2) | v90(constB5, bitIndex0) | (~v90(constB5, bitIndex1))) | (~v90(constB5, bitIndex2))),
% 6.99/4.92 inference(tautology,[status(thm)],[])).
% 6.99/4.92 tff(3673,plain,
% 6.99/4.92 (v90(constB5, bitIndex2) | v90(constB5, bitIndex0) | (~v90(constB5, bitIndex1))),
% 6.99/4.92 inference(unit_resolution,[status(thm)],[3672, 3596])).
% 6.99/4.92 tff(3674,plain,
% 6.99/4.92 ((~(v121(constB5) <=> (~(v90(constB5, bitIndex2) | v90(constB5, bitIndex0) | (~v90(constB5, bitIndex1)))))) | (~v121(constB5)) | (~(v90(constB5, bitIndex2) | v90(constB5, bitIndex0) | (~v90(constB5, bitIndex1))))),
% 6.99/4.92 inference(tautology,[status(thm)],[])).
% 6.99/4.92 tff(3675,plain,
% 6.99/4.92 (~v121(constB5)),
% 6.99/4.92 inference(unit_resolution,[status(thm)],[3674, 3673, 3671])).
% 6.99/4.92 tff(3676,plain,
% 6.99/4.92 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB5) <=> (~(v90(constB5, bitIndex1) | v90(constB5, bitIndex2) | (~v90(constB5, bitIndex0)))))),
% 6.99/4.92 inference(quant_inst,[status(thm)],[])).
% 6.99/4.92 tff(3677,plain,
% 6.99/4.92 (v120(constB5) <=> (~(v90(constB5, bitIndex1) | v90(constB5, bitIndex2) | (~v90(constB5, bitIndex0))))),
% 6.99/4.92 inference(unit_resolution,[status(thm)],[3676, 665])).
% 6.99/4.92 tff(3678,plain,
% 6.99/4.92 ((v90(constB5, bitIndex1) | v90(constB5, bitIndex2) | (~v90(constB5, bitIndex0))) | (~v90(constB5, bitIndex2))),
% 6.99/4.92 inference(tautology,[status(thm)],[])).
% 6.99/4.92 tff(3679,plain,
% 6.99/4.92 (v90(constB5, bitIndex1) | v90(constB5, bitIndex2) | (~v90(constB5, bitIndex0))),
% 6.99/4.92 inference(unit_resolution,[status(thm)],[3678, 3596])).
% 6.99/4.92 tff(3680,plain,
% 6.99/4.92 ((~(v120(constB5) <=> (~(v90(constB5, bitIndex1) | v90(constB5, bitIndex2) | (~v90(constB5, bitIndex0)))))) | (~v120(constB5)) | (~(v90(constB5, bitIndex1) | v90(constB5, bitIndex2) | (~v90(constB5, bitIndex0))))),
% 6.99/4.92 inference(tautology,[status(thm)],[])).
% 6.99/4.92 tff(3681,plain,
% 6.99/4.92 (~v120(constB5)),
% 6.99/4.92 inference(unit_resolution,[status(thm)],[3680, 3679, 3677])).
% 6.99/4.92 tff(3682,plain,
% 6.99/4.92 (^[VarCurr: $i] : refl((v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0))))) <=> (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0))))))),
% 6.99/4.92 inference(bind,[status(th)],[])).
% 6.99/4.92 tff(3683,plain,
% 6.99/4.92 (![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0))))) <=> ![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))),
% 6.99/4.92 inference(quant_intro,[status(thm)],[3682])).
% 6.99/4.92 tff(3684,plain,
% 6.99/4.92 (^[VarCurr: $i] : trans(monotonicity(trans(monotonicity(rewrite(((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr)) & (~v123(VarCurr)) & (~v124(VarCurr))) <=> (~(v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr)))), ((~((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr)) & (~v123(VarCurr)) & (~v124(VarCurr)))) <=> (~(~(v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr)))))), rewrite((~(~(v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr)))) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr))), ((~((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr)) & (~v123(VarCurr)) & (~v124(VarCurr)))) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr)))), rewrite(((~v130(VarCurr, bitIndex2)) & (~v130(VarCurr, bitIndex1)) & v130(VarCurr, bitIndex0)) <=> (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0))))), (((~((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr)) & (~v123(VarCurr)) & (~v124(VarCurr)))) | ((~v130(VarCurr, bitIndex2)) & (~v130(VarCurr, bitIndex1)) & v130(VarCurr, bitIndex0))) <=> ((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr)) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0))))))), rewrite(((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr)) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0))))) <=> (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))), (((~((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr)) & (~v123(VarCurr)) & (~v124(VarCurr)))) | ((~v130(VarCurr, bitIndex2)) & (~v130(VarCurr, bitIndex1)) & v130(VarCurr, bitIndex0))) <=> (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))))),
% 6.99/4.92 inference(bind,[status(th)],[])).
% 6.99/4.92 tff(3685,plain,
% 6.99/4.92 (![VarCurr: $i] : ((~((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr)) & (~v123(VarCurr)) & (~v124(VarCurr)))) | ((~v130(VarCurr, bitIndex2)) & (~v130(VarCurr, bitIndex1)) & v130(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))),
% 6.99/4.92 inference(quant_intro,[status(thm)],[3684])).
% 6.99/4.92 tff(3686,plain,
% 6.99/4.92 (![VarCurr: $i] : ((~((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr)) & (~v123(VarCurr)) & (~v124(VarCurr)))) | ((~v130(VarCurr, bitIndex2)) & (~v130(VarCurr, bitIndex1)) & v130(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((~((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr)) & (~v123(VarCurr)) & (~v124(VarCurr)))) | ((~v130(VarCurr, bitIndex2)) & (~v130(VarCurr, bitIndex1)) & v130(VarCurr, bitIndex0)))),
% 6.99/4.92 inference(rewrite,[status(thm)],[])).
% 6.99/4.92 tff(3687,plain,
% 6.99/4.92 (^[VarCurr: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~v119(VarCurr)) & (~v120(VarCurr))) & (~v121(VarCurr))) <=> ((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)))), (((((~v119(VarCurr)) & (~v120(VarCurr))) & (~v121(VarCurr))) & (~v122(VarCurr))) <=> (((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr))) & (~v122(VarCurr))))), rewrite((((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr))) & (~v122(VarCurr))) <=> ((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr)))), (((((~v119(VarCurr)) & (~v120(VarCurr))) & (~v121(VarCurr))) & (~v122(VarCurr))) <=> ((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr))))), ((((((~v119(VarCurr)) & (~v120(VarCurr))) & (~v121(VarCurr))) & (~v122(VarCurr))) & (~v123(VarCurr))) <=> (((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr))) & (~v123(VarCurr))))), rewrite((((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr))) & (~v123(VarCurr))) <=> ((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr)) & (~v123(VarCurr)))), ((((((~v119(VarCurr)) & (~v120(VarCurr))) & (~v121(VarCurr))) & (~v122(VarCurr))) & (~v123(VarCurr))) <=> ((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr)) & (~v123(VarCurr))))), (((((((~v119(VarCurr)) & (~v120(VarCurr))) & (~v121(VarCurr))) & (~v122(VarCurr))) & (~v123(VarCurr))) & (~v124(VarCurr))) <=> (((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr)) & (~v123(VarCurr))) & (~v124(VarCurr))))), rewrite((((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr)) & (~v123(VarCurr))) & (~v124(VarCurr))) <=> ((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr)) & (~v123(VarCurr)) & (~v124(VarCurr)))), (((((((~v119(VarCurr)) & (~v120(VarCurr))) & (~v121(VarCurr))) & (~v122(VarCurr))) & (~v123(VarCurr))) & (~v124(VarCurr))) <=> ((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr)) & (~v123(VarCurr)) & (~v124(VarCurr))))), trans(monotonicity(rewrite(((v130(VarCurr, bitIndex2) <=> $false) & (v130(VarCurr, bitIndex1) <=> $false)) <=> ((~v130(VarCurr, bitIndex2)) & (~v130(VarCurr, bitIndex1)))), rewrite((v130(VarCurr, bitIndex0) <=> $true) <=> v130(VarCurr, bitIndex0)), ((((v130(VarCurr, bitIndex2) <=> $false) & (v130(VarCurr, bitIndex1) <=> $false)) & (v130(VarCurr, bitIndex0) <=> $true)) <=> (((~v130(VarCurr, bitIndex2)) & (~v130(VarCurr, bitIndex1))) & v130(VarCurr, bitIndex0)))), rewrite((((~v130(VarCurr, bitIndex2)) & (~v130(VarCurr, bitIndex1))) & v130(VarCurr, bitIndex0)) <=> ((~v130(VarCurr, bitIndex2)) & (~v130(VarCurr, bitIndex1)) & v130(VarCurr, bitIndex0))), ((((v130(VarCurr, bitIndex2) <=> $false) & (v130(VarCurr, bitIndex1) <=> $false)) & (v130(VarCurr, bitIndex0) <=> $true)) <=> ((~v130(VarCurr, bitIndex2)) & (~v130(VarCurr, bitIndex1)) & v130(VarCurr, bitIndex0)))), ((((((((~v119(VarCurr)) & (~v120(VarCurr))) & (~v121(VarCurr))) & (~v122(VarCurr))) & (~v123(VarCurr))) & (~v124(VarCurr))) => (((v130(VarCurr, bitIndex2) <=> $false) & (v130(VarCurr, bitIndex1) <=> $false)) & (v130(VarCurr, bitIndex0) <=> $true))) <=> (((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr)) & (~v123(VarCurr)) & (~v124(VarCurr))) => ((~v130(VarCurr, bitIndex2)) & (~v130(VarCurr, bitIndex1)) & v130(VarCurr, bitIndex0))))), rewrite((((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr)) & (~v123(VarCurr)) & (~v124(VarCurr))) => ((~v130(VarCurr, bitIndex2)) & (~v130(VarCurr, bitIndex1)) & v130(VarCurr, bitIndex0))) <=> ((~((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr)) & (~v123(VarCurr)) & (~v124(VarCurr)))) | ((~v130(VarCurr, bitIndex2)) & (~v130(VarCurr, bitIndex1)) & v130(VarCurr, bitIndex0)))), ((((((((~v119(VarCurr)) & (~v120(VarCurr))) & (~v121(VarCurr))) & (~v122(VarCurr))) & (~v123(VarCurr))) & (~v124(VarCurr))) => (((v130(VarCurr, bitIndex2) <=> $false) & (v130(VarCurr, bitIndex1) <=> $false)) & (v130(VarCurr, bitIndex0) <=> $true))) <=> ((~((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr)) & (~v123(VarCurr)) & (~v124(VarCurr)))) | ((~v130(VarCurr, bitIndex2)) & (~v130(VarCurr, bitIndex1)) & v130(VarCurr, bitIndex0)))))),
% 6.99/4.93 inference(bind,[status(th)],[])).
% 6.99/4.93 tff(3688,plain,
% 6.99/4.93 (![VarCurr: $i] : (((((((~v119(VarCurr)) & (~v120(VarCurr))) & (~v121(VarCurr))) & (~v122(VarCurr))) & (~v123(VarCurr))) & (~v124(VarCurr))) => (((v130(VarCurr, bitIndex2) <=> $false) & (v130(VarCurr, bitIndex1) <=> $false)) & (v130(VarCurr, bitIndex0) <=> $true))) <=> ![VarCurr: $i] : ((~((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr)) & (~v123(VarCurr)) & (~v124(VarCurr)))) | ((~v130(VarCurr, bitIndex2)) & (~v130(VarCurr, bitIndex1)) & v130(VarCurr, bitIndex0)))),
% 6.99/4.93 inference(quant_intro,[status(thm)],[3687])).
% 6.99/4.93 tff(3689,axiom,(![VarCurr: $i] : (((((((~v119(VarCurr)) & (~v120(VarCurr))) & (~v121(VarCurr))) & (~v122(VarCurr))) & (~v123(VarCurr))) & (~v124(VarCurr))) => (((v130(VarCurr, bitIndex2) <=> $false) & (v130(VarCurr, bitIndex1) <=> $false)) & (v130(VarCurr, bitIndex0) <=> $true)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges6')).
% 6.99/4.93 tff(3690,plain,
% 6.99/4.93 (![VarCurr: $i] : ((~((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr)) & (~v123(VarCurr)) & (~v124(VarCurr)))) | ((~v130(VarCurr, bitIndex2)) & (~v130(VarCurr, bitIndex1)) & v130(VarCurr, bitIndex0)))),
% 6.99/4.93 inference(modus_ponens,[status(thm)],[3689, 3688])).
% 6.99/4.93 tff(3691,plain,
% 6.99/4.93 (![VarCurr: $i] : ((~((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr)) & (~v123(VarCurr)) & (~v124(VarCurr)))) | ((~v130(VarCurr, bitIndex2)) & (~v130(VarCurr, bitIndex1)) & v130(VarCurr, bitIndex0)))),
% 6.99/4.93 inference(modus_ponens,[status(thm)],[3690, 3686])).
% 6.99/4.93 tff(3692,plain,(
% 6.99/4.93 ![VarCurr: $i] : ((~((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr)) & (~v123(VarCurr)) & (~v124(VarCurr)))) | ((~v130(VarCurr, bitIndex2)) & (~v130(VarCurr, bitIndex1)) & v130(VarCurr, bitIndex0)))),
% 6.99/4.93 inference(skolemize,[status(sab)],[3691])).
% 6.99/4.93 tff(3693,plain,
% 6.99/4.93 (![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))),
% 6.99/4.93 inference(modus_ponens,[status(thm)],[3692, 3685])).
% 6.99/4.93 tff(3694,plain,
% 6.99/4.93 (![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))),
% 6.99/4.93 inference(modus_ponens,[status(thm)],[3693, 3683])).
% 6.99/4.93 tff(3695,plain,
% 6.99/4.93 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v119(constB5) | v120(constB5) | v121(constB5) | v122(constB5) | v123(constB5) | v124(constB5) | (~(v130(constB5, bitIndex2) | v130(constB5, bitIndex1) | (~v130(constB5, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | v119(constB5) | v120(constB5) | v121(constB5) | v122(constB5) | v123(constB5) | v124(constB5) | (~(v130(constB5, bitIndex2) | v130(constB5, bitIndex1) | (~v130(constB5, bitIndex0)))))),
% 6.99/4.93 inference(rewrite,[status(thm)],[])).
% 6.99/4.93 tff(3696,plain,
% 6.99/4.93 ((v124(constB5) | v123(constB5) | v122(constB5) | v121(constB5) | v120(constB5) | v119(constB5) | (~(v130(constB5, bitIndex2) | v130(constB5, bitIndex1) | (~v130(constB5, bitIndex0))))) <=> (v119(constB5) | v120(constB5) | v121(constB5) | v122(constB5) | v123(constB5) | v124(constB5) | (~(v130(constB5, bitIndex2) | v130(constB5, bitIndex1) | (~v130(constB5, bitIndex0)))))),
% 6.99/4.93 inference(rewrite,[status(thm)],[])).
% 6.99/4.93 tff(3697,plain,
% 6.99/4.93 ((~(v130(constB5, bitIndex1) | v130(constB5, bitIndex2) | (~v130(constB5, bitIndex0)))) <=> (~(v130(constB5, bitIndex2) | v130(constB5, bitIndex1) | (~v130(constB5, bitIndex0))))),
% 6.99/4.93 inference(rewrite,[status(thm)],[])).
% 6.99/4.93 tff(3698,plain,
% 6.99/4.93 ((v124(constB5) | v123(constB5) | v122(constB5) | v121(constB5) | v120(constB5) | v119(constB5) | (~(v130(constB5, bitIndex1) | v130(constB5, bitIndex2) | (~v130(constB5, bitIndex0))))) <=> (v124(constB5) | v123(constB5) | v122(constB5) | v121(constB5) | v120(constB5) | v119(constB5) | (~(v130(constB5, bitIndex2) | v130(constB5, bitIndex1) | (~v130(constB5, bitIndex0)))))),
% 6.99/4.93 inference(monotonicity,[status(thm)],[3697])).
% 6.99/4.93 tff(3699,plain,
% 6.99/4.93 ((v124(constB5) | v123(constB5) | v122(constB5) | v121(constB5) | v120(constB5) | v119(constB5) | (~(v130(constB5, bitIndex1) | v130(constB5, bitIndex2) | (~v130(constB5, bitIndex0))))) <=> (v119(constB5) | v120(constB5) | v121(constB5) | v122(constB5) | v123(constB5) | v124(constB5) | (~(v130(constB5, bitIndex2) | v130(constB5, bitIndex1) | (~v130(constB5, bitIndex0)))))),
% 6.99/4.93 inference(transitivity,[status(thm)],[3698, 3696])).
% 6.99/4.93 tff(3700,plain,
% 6.99/4.93 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB5) | v123(constB5) | v122(constB5) | v121(constB5) | v120(constB5) | v119(constB5) | (~(v130(constB5, bitIndex1) | v130(constB5, bitIndex2) | (~v130(constB5, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v119(constB5) | v120(constB5) | v121(constB5) | v122(constB5) | v123(constB5) | v124(constB5) | (~(v130(constB5, bitIndex2) | v130(constB5, bitIndex1) | (~v130(constB5, bitIndex0))))))),
% 6.99/4.93 inference(monotonicity,[status(thm)],[3699])).
% 6.99/4.93 tff(3701,plain,
% 6.99/4.93 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB5) | v123(constB5) | v122(constB5) | v121(constB5) | v120(constB5) | v119(constB5) | (~(v130(constB5, bitIndex1) | v130(constB5, bitIndex2) | (~v130(constB5, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | v119(constB5) | v120(constB5) | v121(constB5) | v122(constB5) | v123(constB5) | v124(constB5) | (~(v130(constB5, bitIndex2) | v130(constB5, bitIndex1) | (~v130(constB5, bitIndex0)))))),
% 6.99/4.93 inference(transitivity,[status(thm)],[3700, 3695])).
% 6.99/4.93 tff(3702,plain,
% 6.99/4.93 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB5) | v123(constB5) | v122(constB5) | v121(constB5) | v120(constB5) | v119(constB5) | (~(v130(constB5, bitIndex1) | v130(constB5, bitIndex2) | (~v130(constB5, bitIndex0)))))),
% 6.99/4.93 inference(quant_inst,[status(thm)],[])).
% 6.99/4.93 tff(3703,plain,
% 6.99/4.93 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | v119(constB5) | v120(constB5) | v121(constB5) | v122(constB5) | v123(constB5) | v124(constB5) | (~(v130(constB5, bitIndex2) | v130(constB5, bitIndex1) | (~v130(constB5, bitIndex0))))),
% 7.01/4.93 inference(modus_ponens,[status(thm)],[3702, 3701])).
% 7.01/4.93 tff(3704,plain,
% 7.01/4.93 (v119(constB5) | v120(constB5) | v121(constB5) | v122(constB5) | v123(constB5) | v124(constB5) | (~(v130(constB5, bitIndex2) | v130(constB5, bitIndex1) | (~v130(constB5, bitIndex0))))),
% 7.01/4.93 inference(unit_resolution,[status(thm)],[3703, 3694])).
% 7.01/4.93 tff(3705,plain,
% 7.01/4.93 (~(v130(constB5, bitIndex2) | v130(constB5, bitIndex1) | (~v130(constB5, bitIndex0)))),
% 7.01/4.93 inference(unit_resolution,[status(thm)],[3704, 3681, 3675, 3664, 3653, 3642, 3600])).
% 7.01/4.93 tff(3706,plain,
% 7.01/4.93 ((v130(constB5, bitIndex2) | v130(constB5, bitIndex1) | (~v130(constB5, bitIndex0))) | (~v130(constB5, bitIndex2))),
% 7.01/4.93 inference(tautology,[status(thm)],[])).
% 7.01/4.93 tff(3707,plain,
% 7.01/4.93 (~v130(constB5, bitIndex2)),
% 7.01/4.93 inference(unit_resolution,[status(thm)],[3706, 3705])).
% 7.01/4.93 tff(3708,plain,
% 7.01/4.93 (((~v127(constB5, bitIndex2)) <=> v130(constB5, bitIndex2)) | (~v127(constB5, bitIndex2)) | v130(constB5, bitIndex2)),
% 7.01/4.93 inference(tautology,[status(thm)],[])).
% 7.01/4.93 tff(3709,plain,
% 7.01/4.93 (~v127(constB5, bitIndex2)),
% 7.01/4.93 inference(unit_resolution,[status(thm)],[3708, 3707, 3005])).
% 7.01/4.93 tff(3710,plain,
% 7.01/4.93 (((~v129(constB6, bitIndex2)) <=> v127(constB5, bitIndex2)) | (~v129(constB6, bitIndex2)) | v127(constB5, bitIndex2)),
% 7.01/4.93 inference(tautology,[status(thm)],[])).
% 7.01/4.93 tff(3711,plain,
% 7.01/4.93 (~v129(constB6, bitIndex2)),
% 7.01/4.93 inference(unit_resolution,[status(thm)],[3710, 3709, 2991])).
% 7.01/4.93 tff(3712,plain,
% 7.01/4.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB5, constB6)) | (v100(constB6) <=> (~((~v101(constB6)) | (~v110(constB6))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB5, constB6)) | (v100(constB6) <=> (~((~v101(constB6)) | (~v110(constB6))))))),
% 7.01/4.93 inference(rewrite,[status(thm)],[])).
% 7.01/4.93 tff(3713,plain,
% 7.01/4.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB5, constB6)) | (v100(constB6) <=> (~((~v101(constB6)) | (~v110(constB6))))))),
% 7.01/4.93 inference(quant_inst,[status(thm)],[])).
% 7.01/4.93 tff(3714,plain,
% 7.01/4.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB5, constB6)) | (v100(constB6) <=> (~((~v101(constB6)) | (~v110(constB6)))))),
% 7.01/4.93 inference(modus_ponens,[status(thm)],[3713, 3712])).
% 7.01/4.93 tff(3715,plain,
% 7.01/4.93 (v100(constB6) <=> (~((~v101(constB6)) | (~v110(constB6))))),
% 7.01/4.93 inference(unit_resolution,[status(thm)],[3714, 2985, 445])).
% 7.01/4.93 tff(3716,plain,
% 7.01/4.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB5, constB6)) | (v101(constB6) <=> (~((~v1(constB6)) | (~v102(constB6))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB5, constB6)) | (v101(constB6) <=> (~((~v1(constB6)) | (~v102(constB6))))))),
% 7.01/4.93 inference(rewrite,[status(thm)],[])).
% 7.01/4.93 tff(3717,plain,
% 7.01/4.93 (((~nextState(constB5, constB6)) | (v101(constB6) <=> (~((~v102(constB6)) | (~v1(constB6)))))) <=> ((~nextState(constB5, constB6)) | (v101(constB6) <=> (~((~v1(constB6)) | (~v102(constB6))))))),
% 7.01/4.93 inference(rewrite,[status(thm)],[])).
% 7.01/4.93 tff(3718,plain,
% 7.01/4.93 (((~![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) <=> (~((~v1(constB6)) | (~v102(constB6)))))))),
% 7.01/4.93 inference(monotonicity,[status(thm)],[3717])).
% 7.01/4.93 tff(3719,plain,
% 7.01/4.93 (((~![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) <=> (~((~v1(constB6)) | (~v102(constB6))))))),
% 7.01/4.93 inference(transitivity,[status(thm)],[3718, 3716])).
% 7.01/4.93 tff(3720,plain,
% 7.01/4.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB5, constB6)) | (v101(constB6) <=> (~((~v102(constB6)) | (~v1(constB6))))))),
% 7.01/4.93 inference(quant_inst,[status(thm)],[])).
% 7.01/4.93 tff(3721,plain,
% 7.01/4.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB5, constB6)) | (v101(constB6) <=> (~((~v1(constB6)) | (~v102(constB6)))))),
% 7.01/4.93 inference(modus_ponens,[status(thm)],[3720, 3719])).
% 7.01/4.93 tff(3722,plain,
% 7.01/4.93 (v101(constB6) <=> (~((~v1(constB6)) | (~v102(constB6))))),
% 7.01/4.93 inference(unit_resolution,[status(thm)],[3721, 2985, 465])).
% 7.01/4.93 tff(3723,plain,
% 7.01/4.93 (((~![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)))),
% 7.01/4.93 inference(rewrite,[status(thm)],[])).
% 7.01/4.93 tff(3724,plain,
% 7.01/4.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB5, constB6)) | ((~v102(constB6)) <=> v104(constB6)))),
% 7.01/4.93 inference(quant_inst,[status(thm)],[])).
% 7.01/4.93 tff(3725,plain,
% 7.01/4.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB5, constB6)) | ((~v102(constB6)) <=> v104(constB6))),
% 7.01/4.93 inference(modus_ponens,[status(thm)],[3724, 3723])).
% 7.01/4.93 tff(3726,plain,
% 7.01/4.93 ((~v102(constB6)) <=> v104(constB6)),
% 7.01/4.93 inference(unit_resolution,[status(thm)],[3725, 2985, 3244])).
% 7.01/4.93 tff(3727,plain,
% 7.01/4.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB5, constB6)) | (v104(constB6) <=> v1(constB5)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB5, constB6)) | (v104(constB6) <=> v1(constB5)))),
% 7.01/4.93 inference(rewrite,[status(thm)],[])).
% 7.01/4.93 tff(3728,plain,
% 7.01/4.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB5, constB6)) | (v104(constB6) <=> v1(constB5)))),
% 7.01/4.93 inference(quant_inst,[status(thm)],[])).
% 7.01/4.93 tff(3729,plain,
% 7.01/4.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB5, constB6)) | (v104(constB6) <=> v1(constB5))),
% 7.01/4.93 inference(modus_ponens,[status(thm)],[3728, 3727])).
% 7.01/4.93 tff(3730,plain,
% 7.01/4.93 (v104(constB6) <=> v1(constB5)),
% 7.01/4.93 inference(unit_resolution,[status(thm)],[3729, 2985, 3258])).
% 7.01/4.93 tff(3731,plain,
% 7.01/4.93 ((~(v104(constB6) <=> v1(constB5))) | (~v104(constB6)) | v1(constB5)),
% 7.01/4.93 inference(tautology,[status(thm)],[])).
% 7.01/4.93 tff(3732,plain,
% 7.01/4.93 ((~(v104(constB6) <=> v1(constB5))) | (~v104(constB6))),
% 7.01/4.93 inference(unit_resolution,[status(thm)],[3731, 3024])).
% 7.01/4.93 tff(3733,plain,
% 7.01/4.93 (~v104(constB6)),
% 7.01/4.93 inference(unit_resolution,[status(thm)],[3732, 3730])).
% 7.01/4.93 tff(3734,plain,
% 7.01/4.93 ((~((~v102(constB6)) <=> v104(constB6))) | v102(constB6) | v104(constB6)),
% 7.01/4.93 inference(tautology,[status(thm)],[])).
% 7.01/4.93 tff(3735,plain,
% 7.01/4.93 (v102(constB6)),
% 7.01/4.93 inference(unit_resolution,[status(thm)],[3734, 3733, 3726])).
% 7.01/4.93 tff(3736,plain,
% 7.01/4.93 (v1(constB6) <=> v1(constB6)),
% 7.01/4.93 inference(rewrite,[status(thm)],[])).
% 7.01/4.93 tff(3737,axiom,(v1(constB6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_6')).
% 7.01/4.93 tff(3738,plain,
% 7.01/4.93 (v1(constB6)),
% 7.01/4.93 inference(modus_ponens,[status(thm)],[3737, 3736])).
% 7.01/4.93 tff(3739,plain,
% 7.01/4.93 ((~((~v1(constB6)) | (~v102(constB6)))) | (~v1(constB6)) | (~v102(constB6))),
% 7.01/4.93 inference(tautology,[status(thm)],[])).
% 7.01/4.93 tff(3740,plain,
% 7.01/4.93 ((~((~v1(constB6)) | (~v102(constB6)))) | (~v102(constB6))),
% 7.01/4.93 inference(unit_resolution,[status(thm)],[3739, 3738])).
% 7.01/4.93 tff(3741,plain,
% 7.01/4.93 (~((~v1(constB6)) | (~v102(constB6)))),
% 7.01/4.93 inference(unit_resolution,[status(thm)],[3740, 3735])).
% 7.01/4.93 tff(3742,plain,
% 7.01/4.93 ((~(v101(constB6) <=> (~((~v1(constB6)) | (~v102(constB6)))))) | v101(constB6) | ((~v1(constB6)) | (~v102(constB6)))),
% 7.01/4.93 inference(tautology,[status(thm)],[])).
% 7.01/4.93 tff(3743,plain,
% 7.01/4.93 (v101(constB6)),
% 7.01/4.93 inference(unit_resolution,[status(thm)],[3742, 3741, 3722])).
% 7.01/4.93 tff(3744,plain,
% 7.01/4.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB5, constB6)) | (v110(constB6) <=> v108(constB5)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB5, constB6)) | (v110(constB6) <=> v108(constB5)))),
% 7.01/4.93 inference(rewrite,[status(thm)],[])).
% 7.01/4.93 tff(3745,plain,
% 7.01/4.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB5, constB6)) | (v110(constB6) <=> v108(constB5)))),
% 7.01/4.93 inference(quant_inst,[status(thm)],[])).
% 7.01/4.93 tff(3746,plain,
% 7.01/4.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB5, constB6)) | (v110(constB6) <=> v108(constB5))),
% 7.01/4.93 inference(modus_ponens,[status(thm)],[3745, 3744])).
% 7.01/4.93 tff(3747,plain,
% 7.01/4.93 (v110(constB6) <=> v108(constB5)),
% 7.01/4.93 inference(unit_resolution,[status(thm)],[3746, 2985, 3285])).
% 7.01/4.93 tff(3748,plain,
% 7.01/4.93 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB5) <=> (v111(constB5) | v112(constB5)))),
% 7.01/4.93 inference(quant_inst,[status(thm)],[])).
% 7.01/4.93 tff(3749,plain,
% 7.01/4.93 (v108(constB5) <=> (v111(constB5) | v112(constB5))),
% 7.01/4.93 inference(unit_resolution,[status(thm)],[3748, 3296])).
% 7.01/4.93 tff(3750,plain,
% 7.01/4.93 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB5) <=> (~((~v113(constB5)) | (~v126(constB5)))))),
% 7.01/4.93 inference(quant_inst,[status(thm)],[])).
% 7.01/4.93 tff(3751,plain,
% 7.01/4.93 (v112(constB5) <=> (~((~v113(constB5)) | (~v126(constB5))))),
% 7.01/4.93 inference(unit_resolution,[status(thm)],[3750, 3308])).
% 7.01/4.93 tff(3752,plain,
% 7.01/4.93 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB5) <=> (v114(constB5) | v125(constB5)))),
% 7.01/4.93 inference(quant_inst,[status(thm)],[])).
% 7.01/4.93 tff(3753,plain,
% 7.01/4.93 (v113(constB5) <=> (v114(constB5) | v125(constB5))),
% 7.01/4.93 inference(unit_resolution,[status(thm)],[3752, 3317])).
% 7.01/4.93 tff(3754,plain,
% 7.01/4.93 (^[VarCurr: $i] : refl((v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2))))) <=> (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2))))))),
% 7.01/4.93 inference(bind,[status(th)],[])).
% 7.01/4.93 tff(3755,plain,
% 7.01/4.93 (![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2))))) <=> ![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))),
% 7.01/4.93 inference(quant_intro,[status(thm)],[3754])).
% 7.01/4.93 tff(3756,plain,
% 7.01/4.93 (^[VarCurr: $i] : rewrite((v125(VarCurr) <=> (v90(VarCurr, bitIndex2) & v90(VarCurr, bitIndex1) & (~v90(VarCurr, bitIndex0)))) <=> (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2))))))),
% 7.01/4.93 inference(bind,[status(th)],[])).
% 7.01/4.93 tff(3757,plain,
% 7.01/4.93 (![VarCurr: $i] : (v125(VarCurr) <=> (v90(VarCurr, bitIndex2) & v90(VarCurr, bitIndex1) & (~v90(VarCurr, bitIndex0)))) <=> ![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))),
% 7.01/4.93 inference(quant_intro,[status(thm)],[3756])).
% 7.01/4.93 tff(3758,plain,
% 7.01/4.93 (![VarCurr: $i] : (v125(VarCurr) <=> (v90(VarCurr, bitIndex2) & v90(VarCurr, bitIndex1) & (~v90(VarCurr, bitIndex0)))) <=> ![VarCurr: $i] : (v125(VarCurr) <=> (v90(VarCurr, bitIndex2) & v90(VarCurr, bitIndex1) & (~v90(VarCurr, bitIndex0))))),
% 7.01/4.93 inference(rewrite,[status(thm)],[])).
% 7.01/4.93 tff(3759,plain,
% 7.01/4.93 (^[VarCurr: $i] : rewrite((v125(VarCurr) <=> (((v90(VarCurr, bitIndex2) <=> $true) & (v90(VarCurr, bitIndex1) <=> $true)) & (v90(VarCurr, bitIndex0) <=> $false))) <=> (v125(VarCurr) <=> (v90(VarCurr, bitIndex2) & v90(VarCurr, bitIndex1) & (~v90(VarCurr, bitIndex0)))))),
% 7.01/4.93 inference(bind,[status(th)],[])).
% 7.01/4.93 tff(3760,plain,
% 7.01/4.93 (![VarCurr: $i] : (v125(VarCurr) <=> (((v90(VarCurr, bitIndex2) <=> $true) & (v90(VarCurr, bitIndex1) <=> $true)) & (v90(VarCurr, bitIndex0) <=> $false))) <=> ![VarCurr: $i] : (v125(VarCurr) <=> (v90(VarCurr, bitIndex2) & v90(VarCurr, bitIndex1) & (~v90(VarCurr, bitIndex0))))),
% 7.01/4.93 inference(quant_intro,[status(thm)],[3759])).
% 7.01/4.93 tff(3761,axiom,(![VarCurr: $i] : (v125(VarCurr) <=> (((v90(VarCurr, bitIndex2) <=> $true) & (v90(VarCurr, bitIndex1) <=> $true)) & (v90(VarCurr, bitIndex0) <=> $false)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_8')).
% 7.01/4.93 tff(3762,plain,
% 7.01/4.93 (![VarCurr: $i] : (v125(VarCurr) <=> (v90(VarCurr, bitIndex2) & v90(VarCurr, bitIndex1) & (~v90(VarCurr, bitIndex0))))),
% 7.01/4.93 inference(modus_ponens,[status(thm)],[3761, 3760])).
% 7.01/4.93 tff(3763,plain,
% 7.01/4.93 (![VarCurr: $i] : (v125(VarCurr) <=> (v90(VarCurr, bitIndex2) & v90(VarCurr, bitIndex1) & (~v90(VarCurr, bitIndex0))))),
% 7.01/4.93 inference(modus_ponens,[status(thm)],[3762, 3758])).
% 7.01/4.93 tff(3764,plain,(
% 7.01/4.93 ![VarCurr: $i] : (v125(VarCurr) <=> (v90(VarCurr, bitIndex2) & v90(VarCurr, bitIndex1) & (~v90(VarCurr, bitIndex0))))),
% 7.01/4.93 inference(skolemize,[status(sab)],[3763])).
% 7.01/4.93 tff(3765,plain,
% 7.01/4.93 (![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))),
% 7.01/4.93 inference(modus_ponens,[status(thm)],[3764, 3757])).
% 7.01/4.93 tff(3766,plain,
% 7.01/4.93 (![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))),
% 7.01/4.93 inference(modus_ponens,[status(thm)],[3765, 3755])).
% 7.01/4.93 tff(3767,plain,
% 7.01/4.93 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB5) <=> (~(v90(constB5, bitIndex0) | (~v90(constB5, bitIndex1)) | (~v90(constB5, bitIndex2)))))),
% 7.01/4.93 inference(quant_inst,[status(thm)],[])).
% 7.01/4.93 tff(3768,plain,
% 7.01/4.93 (v125(constB5) <=> (~(v90(constB5, bitIndex0) | (~v90(constB5, bitIndex1)) | (~v90(constB5, bitIndex2))))),
% 7.01/4.93 inference(unit_resolution,[status(thm)],[3767, 3766])).
% 7.01/4.93 tff(3769,plain,
% 7.01/4.93 ((((~v90(constB5, bitIndex1)) <=> v90(constB4, bitIndex1)) | ((~v90(constB5, bitIndex2)) <=> v90(constB4, bitIndex2)) | ((~v90(constB5, bitIndex0)) <=> v90(constB4, bitIndex0))) | (~((~v90(constB5, bitIndex0)) <=> v90(constB4, bitIndex0)))),
% 7.01/4.93 inference(tautology,[status(thm)],[])).
% 7.01/4.93 tff(3770,plain,
% 7.01/4.93 (~((~v90(constB5, bitIndex0)) <=> v90(constB4, bitIndex0))),
% 7.01/4.93 inference(unit_resolution,[status(thm)],[3769, 3041])).
% 7.01/4.93 tff(3771,plain,
% 7.01/4.93 ((((~v129(constB4, bitIndex2)) <=> v127(constB3, bitIndex2)) | ((~v129(constB4, bitIndex1)) <=> v127(constB3, bitIndex1)) | ((~v129(constB4, bitIndex0)) <=> v127(constB3, bitIndex0))) | (~((~v129(constB4, bitIndex0)) <=> v127(constB3, bitIndex0)))),
% 7.01/4.93 inference(tautology,[status(thm)],[])).
% 7.01/4.93 tff(3772,plain,
% 7.01/4.93 (~((~v129(constB4, bitIndex0)) <=> v127(constB3, bitIndex0))),
% 7.01/4.93 inference(unit_resolution,[status(thm)],[3771, 3050])).
% 7.01/4.93 tff(3773,plain,
% 7.01/4.93 ((((~v127(constB3, bitIndex2)) <=> v130(constB3, bitIndex2)) | ((~v127(constB3, bitIndex1)) <=> v130(constB3, bitIndex1)) | ((~v127(constB3, bitIndex0)) <=> v130(constB3, bitIndex0))) | (~((~v127(constB3, bitIndex0)) <=> v130(constB3, bitIndex0)))),
% 7.01/4.93 inference(tautology,[status(thm)],[])).
% 7.01/4.93 tff(3774,plain,
% 7.01/4.93 (~((~v127(constB3, bitIndex0)) <=> v130(constB3, bitIndex0))),
% 7.01/4.93 inference(unit_resolution,[status(thm)],[3773, 3064])).
% 7.01/4.93 tff(3775,plain,
% 7.01/4.93 ((v130(constB3, bitIndex0) | (~v130(constB3, bitIndex2)) | (~v130(constB3, bitIndex1))) | (~v130(constB3, bitIndex0))),
% 7.01/4.93 inference(tautology,[status(thm)],[])).
% 7.01/4.93 tff(3776,plain,
% 7.01/4.93 (~v130(constB3, bitIndex0)),
% 7.01/4.93 inference(unit_resolution,[status(thm)],[3775, 3501])).
% 7.01/4.93 tff(3777,plain,
% 7.01/4.93 (((~v127(constB3, bitIndex0)) <=> v130(constB3, bitIndex0)) | (~v127(constB3, bitIndex0)) | v130(constB3, bitIndex0)),
% 7.01/4.93 inference(tautology,[status(thm)],[])).
% 7.01/4.93 tff(3778,plain,
% 7.01/4.93 (~v127(constB3, bitIndex0)),
% 7.01/4.93 inference(unit_resolution,[status(thm)],[3777, 3776, 3774])).
% 7.01/4.93 tff(3779,plain,
% 7.01/4.93 (((~v129(constB4, bitIndex0)) <=> v127(constB3, bitIndex0)) | (~v129(constB4, bitIndex0)) | v127(constB3, bitIndex0)),
% 7.01/4.93 inference(tautology,[status(thm)],[])).
% 7.01/4.93 tff(3780,plain,
% 7.01/4.93 (~v129(constB4, bitIndex0)),
% 7.01/4.93 inference(unit_resolution,[status(thm)],[3779, 3778, 3772])).
% 7.01/4.93 tff(3781,plain,
% 7.01/4.93 ((((~v90(constB4, bitIndex2)) <=> v129(constB4, bitIndex2)) | ((~v90(constB4, bitIndex1)) <=> v129(constB4, bitIndex1)) | ((~v90(constB4, bitIndex0)) <=> v129(constB4, bitIndex0))) | (~((~v90(constB4, bitIndex0)) <=> v129(constB4, bitIndex0)))),
% 7.01/4.93 inference(tautology,[status(thm)],[])).
% 7.01/4.93 tff(3782,plain,
% 7.01/4.93 (~((~v90(constB4, bitIndex0)) <=> v129(constB4, bitIndex0))),
% 7.01/4.93 inference(unit_resolution,[status(thm)],[3781, 3590])).
% 7.01/4.93 tff(3783,plain,
% 7.01/4.93 (((~v90(constB4, bitIndex0)) <=> v129(constB4, bitIndex0)) | (~v90(constB4, bitIndex0)) | v129(constB4, bitIndex0)),
% 7.01/4.93 inference(tautology,[status(thm)],[])).
% 7.01/4.93 tff(3784,plain,
% 7.01/4.93 (~v90(constB4, bitIndex0)),
% 7.01/4.93 inference(unit_resolution,[status(thm)],[3783, 3782, 3780])).
% 7.01/4.93 tff(3785,plain,
% 7.01/4.93 (((~v90(constB5, bitIndex0)) <=> v90(constB4, bitIndex0)) | (~v90(constB5, bitIndex0)) | v90(constB4, bitIndex0)),
% 7.01/4.93 inference(tautology,[status(thm)],[])).
% 7.01/4.93 tff(3786,plain,
% 7.01/4.93 (~v90(constB5, bitIndex0)),
% 7.01/4.93 inference(unit_resolution,[status(thm)],[3785, 3784, 3770])).
% 7.01/4.93 tff(3787,plain,
% 7.01/4.93 ((~(v90(constB5, bitIndex0) | (~v90(constB5, bitIndex1)) | (~v90(constB5, bitIndex2)))) | v90(constB5, bitIndex0) | (~v90(constB5, bitIndex1)) | (~v90(constB5, bitIndex2))),
% 7.01/4.93 inference(tautology,[status(thm)],[])).
% 7.01/4.93 tff(3788,plain,
% 7.01/4.93 (~(v90(constB5, bitIndex0) | (~v90(constB5, bitIndex1)) | (~v90(constB5, bitIndex2)))),
% 7.01/4.93 inference(unit_resolution,[status(thm)],[3787, 3638, 3786, 3596])).
% 7.01/4.93 tff(3789,plain,
% 7.01/4.93 ((~(v125(constB5) <=> (~(v90(constB5, bitIndex0) | (~v90(constB5, bitIndex1)) | (~v90(constB5, bitIndex2)))))) | v125(constB5) | (v90(constB5, bitIndex0) | (~v90(constB5, bitIndex1)) | (~v90(constB5, bitIndex2)))),
% 7.01/4.93 inference(tautology,[status(thm)],[])).
% 7.01/4.93 tff(3790,plain,
% 7.01/4.93 (v125(constB5)),
% 7.01/4.93 inference(unit_resolution,[status(thm)],[3789, 3788, 3768])).
% 7.01/4.93 tff(3791,plain,
% 7.01/4.93 ((v114(constB5) | v125(constB5)) | (~v125(constB5))),
% 7.01/4.93 inference(tautology,[status(thm)],[])).
% 7.01/4.93 tff(3792,plain,
% 7.01/4.93 (v114(constB5) | v125(constB5)),
% 7.01/4.93 inference(unit_resolution,[status(thm)],[3791, 3790])).
% 7.01/4.93 tff(3793,plain,
% 7.01/4.93 ((~(v113(constB5) <=> (v114(constB5) | v125(constB5)))) | v113(constB5) | (~(v114(constB5) | v125(constB5)))),
% 7.01/4.93 inference(tautology,[status(thm)],[])).
% 7.01/4.93 tff(3794,plain,
% 7.01/4.93 (v113(constB5)),
% 7.01/4.93 inference(unit_resolution,[status(thm)],[3793, 3792, 3753])).
% 7.01/4.93 tff(3795,plain,
% 7.01/4.93 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB5)) <=> v111(constB5))),
% 7.01/4.93 inference(quant_inst,[status(thm)],[])).
% 7.01/4.93 tff(3796,plain,
% 7.01/4.93 ((~v126(constB5)) <=> v111(constB5)),
% 7.01/4.93 inference(unit_resolution,[status(thm)],[3795, 3396])).
% 7.01/4.93 tff(3797,plain,
% 7.01/4.93 ((~((~v126(constB5)) <=> v111(constB5))) | v126(constB5) | v111(constB5)),
% 7.01/4.93 inference(tautology,[status(thm)],[])).
% 7.01/4.93 tff(3798,plain,
% 7.01/4.93 ((~((~v126(constB5)) <=> v111(constB5))) | v126(constB5)),
% 7.01/4.93 inference(unit_resolution,[status(thm)],[3797, 2998])).
% 7.01/4.93 tff(3799,plain,
% 7.01/4.93 (v126(constB5)),
% 7.01/4.93 inference(unit_resolution,[status(thm)],[3798, 3796])).
% 7.01/4.93 tff(3800,plain,
% 7.01/4.93 ((~((~v113(constB5)) | (~v126(constB5)))) | (~v113(constB5)) | (~v126(constB5))),
% 7.01/4.93 inference(tautology,[status(thm)],[])).
% 7.01/4.93 tff(3801,plain,
% 7.01/4.93 ((~((~v113(constB5)) | (~v126(constB5)))) | (~v113(constB5))),
% 7.01/4.93 inference(unit_resolution,[status(thm)],[3800, 3799])).
% 7.01/4.93 tff(3802,plain,
% 7.01/4.93 (~((~v113(constB5)) | (~v126(constB5)))),
% 7.01/4.93 inference(unit_resolution,[status(thm)],[3801, 3794])).
% 7.01/4.93 tff(3803,plain,
% 7.01/4.93 ((~(v112(constB5) <=> (~((~v113(constB5)) | (~v126(constB5)))))) | v112(constB5) | ((~v113(constB5)) | (~v126(constB5)))),
% 7.01/4.93 inference(tautology,[status(thm)],[])).
% 7.01/4.93 tff(3804,plain,
% 7.01/4.93 (v112(constB5)),
% 7.01/4.93 inference(unit_resolution,[status(thm)],[3803, 3802, 3751])).
% 7.01/4.93 tff(3805,plain,
% 7.01/4.93 ((v111(constB5) | v112(constB5)) | (~v112(constB5))),
% 7.01/4.93 inference(tautology,[status(thm)],[])).
% 7.01/4.93 tff(3806,plain,
% 7.01/4.93 (v111(constB5) | v112(constB5)),
% 7.01/4.93 inference(unit_resolution,[status(thm)],[3805, 3804])).
% 7.01/4.93 tff(3807,plain,
% 7.01/4.93 ((~(v108(constB5) <=> (v111(constB5) | v112(constB5)))) | v108(constB5) | (~(v111(constB5) | v112(constB5)))),
% 7.01/4.93 inference(tautology,[status(thm)],[])).
% 7.01/4.93 tff(3808,plain,
% 7.01/4.93 (v108(constB5)),
% 7.01/4.93 inference(unit_resolution,[status(thm)],[3807, 3806, 3749])).
% 7.01/4.93 tff(3809,plain,
% 7.01/4.93 ((~(v110(constB6) <=> v108(constB5))) | v110(constB6) | (~v108(constB5))),
% 7.01/4.93 inference(tautology,[status(thm)],[])).
% 7.01/4.93 tff(3810,plain,
% 7.01/4.93 (v110(constB6)),
% 7.01/4.93 inference(unit_resolution,[status(thm)],[3809, 3808, 3747])).
% 7.01/4.93 tff(3811,plain,
% 7.01/4.93 ((~((~v101(constB6)) | (~v110(constB6)))) | (~v101(constB6)) | (~v110(constB6))),
% 7.01/4.93 inference(tautology,[status(thm)],[])).
% 7.01/4.93 tff(3812,plain,
% 7.01/4.93 (~((~v101(constB6)) | (~v110(constB6)))),
% 7.01/4.93 inference(unit_resolution,[status(thm)],[3811, 3810, 3743])).
% 7.01/4.93 tff(3813,plain,
% 7.01/4.93 ((~(v100(constB6) <=> (~((~v101(constB6)) | (~v110(constB6)))))) | v100(constB6) | ((~v101(constB6)) | (~v110(constB6)))),
% 7.01/4.93 inference(tautology,[status(thm)],[])).
% 7.01/4.93 tff(3814,plain,
% 7.01/4.93 (v100(constB6)),
% 7.01/4.93 inference(unit_resolution,[status(thm)],[3813, 3812, 3715])).
% 7.01/4.93 tff(3815,plain,
% 7.01/4.93 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB6)) | (~(((~v90(constB6, bitIndex0)) <=> v129(constB6, bitIndex0)) | ((~v90(constB6, bitIndex2)) <=> v129(constB6, bitIndex2)) | ((~v90(constB6, bitIndex1)) <=> v129(constB6, bitIndex1)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB6)) | (~(((~v90(constB6, bitIndex0)) <=> v129(constB6, bitIndex0)) | ((~v90(constB6, bitIndex2)) <=> v129(constB6, bitIndex2)) | ((~v90(constB6, bitIndex1)) <=> v129(constB6, bitIndex1)))))),
% 7.01/4.93 inference(rewrite,[status(thm)],[])).
% 7.01/4.93 tff(3816,plain,
% 7.01/4.93 (((~v100(constB6)) | (~(((~v90(constB6, bitIndex2)) <=> v129(constB6, bitIndex2)) | ((~v90(constB6, bitIndex1)) <=> v129(constB6, bitIndex1)) | ((~v90(constB6, bitIndex0)) <=> v129(constB6, bitIndex0))))) <=> ((~v100(constB6)) | (~(((~v90(constB6, bitIndex0)) <=> v129(constB6, bitIndex0)) | ((~v90(constB6, bitIndex2)) <=> v129(constB6, bitIndex2)) | ((~v90(constB6, bitIndex1)) <=> v129(constB6, bitIndex1)))))),
% 7.01/4.93 inference(rewrite,[status(thm)],[])).
% 7.01/4.93 tff(3817,plain,
% 7.01/4.93 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB6)) | (~(((~v90(constB6, bitIndex2)) <=> v129(constB6, bitIndex2)) | ((~v90(constB6, bitIndex1)) <=> v129(constB6, bitIndex1)) | ((~v90(constB6, bitIndex0)) <=> v129(constB6, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB6)) | (~(((~v90(constB6, bitIndex0)) <=> v129(constB6, bitIndex0)) | ((~v90(constB6, bitIndex2)) <=> v129(constB6, bitIndex2)) | ((~v90(constB6, bitIndex1)) <=> v129(constB6, bitIndex1))))))),
% 7.01/4.93 inference(monotonicity,[status(thm)],[3816])).
% 7.01/4.93 tff(3818,plain,
% 7.01/4.94 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB6)) | (~(((~v90(constB6, bitIndex2)) <=> v129(constB6, bitIndex2)) | ((~v90(constB6, bitIndex1)) <=> v129(constB6, bitIndex1)) | ((~v90(constB6, bitIndex0)) <=> v129(constB6, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB6)) | (~(((~v90(constB6, bitIndex0)) <=> v129(constB6, bitIndex0)) | ((~v90(constB6, bitIndex2)) <=> v129(constB6, bitIndex2)) | ((~v90(constB6, bitIndex1)) <=> v129(constB6, bitIndex1)))))),
% 7.01/4.94 inference(transitivity,[status(thm)],[3817, 3815])).
% 7.01/4.94 tff(3819,plain,
% 7.01/4.94 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB6)) | (~(((~v90(constB6, bitIndex2)) <=> v129(constB6, bitIndex2)) | ((~v90(constB6, bitIndex1)) <=> v129(constB6, bitIndex1)) | ((~v90(constB6, bitIndex0)) <=> v129(constB6, bitIndex0)))))),
% 7.01/4.94 inference(quant_inst,[status(thm)],[])).
% 7.01/4.94 tff(3820,plain,
% 7.01/4.94 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB6)) | (~(((~v90(constB6, bitIndex0)) <=> v129(constB6, bitIndex0)) | ((~v90(constB6, bitIndex2)) <=> v129(constB6, bitIndex2)) | ((~v90(constB6, bitIndex1)) <=> v129(constB6, bitIndex1))))),
% 7.01/4.94 inference(modus_ponens,[status(thm)],[3819, 3818])).
% 7.01/4.94 tff(3821,plain,
% 7.01/4.94 ((~v100(constB6)) | (~(((~v90(constB6, bitIndex0)) <=> v129(constB6, bitIndex0)) | ((~v90(constB6, bitIndex2)) <=> v129(constB6, bitIndex2)) | ((~v90(constB6, bitIndex1)) <=> v129(constB6, bitIndex1))))),
% 7.01/4.94 inference(unit_resolution,[status(thm)],[3820, 3429])).
% 7.01/4.94 tff(3822,plain,
% 7.01/4.94 (~(((~v90(constB6, bitIndex0)) <=> v129(constB6, bitIndex0)) | ((~v90(constB6, bitIndex2)) <=> v129(constB6, bitIndex2)) | ((~v90(constB6, bitIndex1)) <=> v129(constB6, bitIndex1)))),
% 7.01/4.94 inference(unit_resolution,[status(thm)],[3821, 3814])).
% 7.01/4.94 tff(3823,plain,
% 7.01/4.94 ((((~v90(constB6, bitIndex0)) <=> v129(constB6, bitIndex0)) | ((~v90(constB6, bitIndex2)) <=> v129(constB6, bitIndex2)) | ((~v90(constB6, bitIndex1)) <=> v129(constB6, bitIndex1))) | (~((~v90(constB6, bitIndex2)) <=> v129(constB6, bitIndex2)))),
% 7.01/4.94 inference(tautology,[status(thm)],[])).
% 7.01/4.94 tff(3824,plain,
% 7.01/4.94 (~((~v90(constB6, bitIndex2)) <=> v129(constB6, bitIndex2))),
% 7.01/4.94 inference(unit_resolution,[status(thm)],[3823, 3822])).
% 7.01/4.94 tff(3825,plain,
% 7.01/4.94 (((~v90(constB6, bitIndex2)) <=> v129(constB6, bitIndex2)) | (~v90(constB6, bitIndex2)) | v129(constB6, bitIndex2)),
% 7.01/4.94 inference(tautology,[status(thm)],[])).
% 7.01/4.94 tff(3826,plain,
% 7.01/4.94 (~v90(constB6, bitIndex2)),
% 7.01/4.94 inference(unit_resolution,[status(thm)],[3825, 3824, 3711])).
% 7.01/4.94 tff(3827,plain,
% 7.01/4.94 (((~v90(constB7, bitIndex2)) <=> v90(constB6, bitIndex2)) | (~v90(constB7, bitIndex2)) | v90(constB6, bitIndex2)),
% 7.01/4.94 inference(tautology,[status(thm)],[])).
% 7.01/4.94 tff(3828,plain,
% 7.01/4.94 (~v90(constB7, bitIndex2)),
% 7.01/4.94 inference(unit_resolution,[status(thm)],[3827, 3826, 2982])).
% 7.01/4.94 tff(3829,plain,
% 7.01/4.94 ((((~v90(constB7, bitIndex1)) <=> v90(constB6, bitIndex1)) | ((~v90(constB7, bitIndex2)) <=> v90(constB6, bitIndex2)) | ((~v90(constB7, bitIndex0)) <=> v90(constB6, bitIndex0))) | (~((~v90(constB7, bitIndex0)) <=> v90(constB6, bitIndex0)))),
% 7.01/4.94 inference(tautology,[status(thm)],[])).
% 7.01/4.94 tff(3830,plain,
% 7.01/4.94 (~((~v90(constB7, bitIndex0)) <=> v90(constB6, bitIndex0))),
% 7.01/4.94 inference(unit_resolution,[status(thm)],[3829, 2980])).
% 7.01/4.94 tff(3831,plain,
% 7.01/4.94 ((((~v129(constB6, bitIndex2)) <=> v127(constB5, bitIndex2)) | ((~v129(constB6, bitIndex1)) <=> v127(constB5, bitIndex1)) | ((~v129(constB6, bitIndex0)) <=> v127(constB5, bitIndex0))) | (~((~v129(constB6, bitIndex0)) <=> v127(constB5, bitIndex0)))),
% 7.01/4.94 inference(tautology,[status(thm)],[])).
% 7.01/4.94 tff(3832,plain,
% 7.01/4.94 (~((~v129(constB6, bitIndex0)) <=> v127(constB5, bitIndex0))),
% 7.01/4.94 inference(unit_resolution,[status(thm)],[3831, 2989])).
% 7.01/4.94 tff(3833,plain,
% 7.01/4.94 ((((~v127(constB5, bitIndex2)) <=> v130(constB5, bitIndex2)) | ((~v127(constB5, bitIndex1)) <=> v130(constB5, bitIndex1)) | ((~v127(constB5, bitIndex0)) <=> v130(constB5, bitIndex0))) | (~((~v127(constB5, bitIndex0)) <=> v130(constB5, bitIndex0)))),
% 7.01/4.94 inference(tautology,[status(thm)],[])).
% 7.01/4.94 tff(3834,plain,
% 7.01/4.94 (~((~v127(constB5, bitIndex0)) <=> v130(constB5, bitIndex0))),
% 7.01/4.94 inference(unit_resolution,[status(thm)],[3833, 3003])).
% 7.01/4.94 tff(3835,plain,
% 7.01/4.94 ((v130(constB5, bitIndex2) | v130(constB5, bitIndex1) | (~v130(constB5, bitIndex0))) | v130(constB5, bitIndex0)),
% 7.01/4.94 inference(tautology,[status(thm)],[])).
% 7.01/4.94 tff(3836,plain,
% 7.01/4.94 (v130(constB5, bitIndex0)),
% 7.01/4.94 inference(unit_resolution,[status(thm)],[3835, 3705])).
% 7.01/4.94 tff(3837,plain,
% 7.01/4.94 (((~v127(constB5, bitIndex0)) <=> v130(constB5, bitIndex0)) | v127(constB5, bitIndex0) | (~v130(constB5, bitIndex0))),
% 7.01/4.94 inference(tautology,[status(thm)],[])).
% 7.01/4.94 tff(3838,plain,
% 7.01/4.94 (v127(constB5, bitIndex0)),
% 7.01/4.94 inference(unit_resolution,[status(thm)],[3837, 3836, 3834])).
% 7.01/4.94 tff(3839,plain,
% 7.01/4.94 (((~v129(constB6, bitIndex0)) <=> v127(constB5, bitIndex0)) | v129(constB6, bitIndex0) | (~v127(constB5, bitIndex0))),
% 7.01/4.94 inference(tautology,[status(thm)],[])).
% 7.01/4.94 tff(3840,plain,
% 7.01/4.94 (v129(constB6, bitIndex0)),
% 7.01/4.94 inference(unit_resolution,[status(thm)],[3839, 3838, 3832])).
% 7.01/4.94 tff(3841,plain,
% 7.01/4.94 ((((~v90(constB6, bitIndex0)) <=> v129(constB6, bitIndex0)) | ((~v90(constB6, bitIndex2)) <=> v129(constB6, bitIndex2)) | ((~v90(constB6, bitIndex1)) <=> v129(constB6, bitIndex1))) | (~((~v90(constB6, bitIndex0)) <=> v129(constB6, bitIndex0)))),
% 7.01/4.94 inference(tautology,[status(thm)],[])).
% 7.01/4.94 tff(3842,plain,
% 7.01/4.94 (~((~v90(constB6, bitIndex0)) <=> v129(constB6, bitIndex0))),
% 7.01/4.94 inference(unit_resolution,[status(thm)],[3841, 3822])).
% 7.01/4.94 tff(3843,plain,
% 7.01/4.94 (((~v90(constB6, bitIndex0)) <=> v129(constB6, bitIndex0)) | v90(constB6, bitIndex0) | (~v129(constB6, bitIndex0))),
% 7.01/4.94 inference(tautology,[status(thm)],[])).
% 7.01/4.94 tff(3844,plain,
% 7.01/4.94 (v90(constB6, bitIndex0)),
% 7.01/4.94 inference(unit_resolution,[status(thm)],[3843, 3842, 3840])).
% 7.01/4.94 tff(3845,plain,
% 7.01/4.94 (((~v90(constB7, bitIndex0)) <=> v90(constB6, bitIndex0)) | v90(constB7, bitIndex0) | (~v90(constB6, bitIndex0))),
% 7.01/4.94 inference(tautology,[status(thm)],[])).
% 7.01/4.94 tff(3846,plain,
% 7.01/4.94 (v90(constB7, bitIndex0)),
% 7.01/4.94 inference(unit_resolution,[status(thm)],[3845, 3844, 3830])).
% 7.01/4.94 tff(3847,plain,
% 7.01/4.94 ((((~v90(constB7, bitIndex1)) <=> v90(constB6, bitIndex1)) | ((~v90(constB7, bitIndex2)) <=> v90(constB6, bitIndex2)) | ((~v90(constB7, bitIndex0)) <=> v90(constB6, bitIndex0))) | (~((~v90(constB7, bitIndex1)) <=> v90(constB6, bitIndex1)))),
% 7.01/4.94 inference(tautology,[status(thm)],[])).
% 7.01/4.94 tff(3848,plain,
% 7.01/4.94 (~((~v90(constB7, bitIndex1)) <=> v90(constB6, bitIndex1))),
% 7.01/4.94 inference(unit_resolution,[status(thm)],[3847, 2980])).
% 7.01/4.94 tff(3849,plain,
% 7.01/4.94 ((((~v129(constB6, bitIndex2)) <=> v127(constB5, bitIndex2)) | ((~v129(constB6, bitIndex1)) <=> v127(constB5, bitIndex1)) | ((~v129(constB6, bitIndex0)) <=> v127(constB5, bitIndex0))) | (~((~v129(constB6, bitIndex1)) <=> v127(constB5, bitIndex1)))),
% 7.01/4.94 inference(tautology,[status(thm)],[])).
% 7.01/4.94 tff(3850,plain,
% 7.01/4.94 (~((~v129(constB6, bitIndex1)) <=> v127(constB5, bitIndex1))),
% 7.01/4.94 inference(unit_resolution,[status(thm)],[3849, 2989])).
% 7.01/4.94 tff(3851,plain,
% 7.01/4.94 ((((~v127(constB5, bitIndex2)) <=> v130(constB5, bitIndex2)) | ((~v127(constB5, bitIndex1)) <=> v130(constB5, bitIndex1)) | ((~v127(constB5, bitIndex0)) <=> v130(constB5, bitIndex0))) | (~((~v127(constB5, bitIndex1)) <=> v130(constB5, bitIndex1)))),
% 7.01/4.94 inference(tautology,[status(thm)],[])).
% 7.01/4.94 tff(3852,plain,
% 7.01/4.94 (~((~v127(constB5, bitIndex1)) <=> v130(constB5, bitIndex1))),
% 7.01/4.94 inference(unit_resolution,[status(thm)],[3851, 3003])).
% 7.01/4.94 tff(3853,plain,
% 7.01/4.94 ((v130(constB5, bitIndex2) | v130(constB5, bitIndex1) | (~v130(constB5, bitIndex0))) | (~v130(constB5, bitIndex1))),
% 7.01/4.94 inference(tautology,[status(thm)],[])).
% 7.01/4.94 tff(3854,plain,
% 7.01/4.94 (~v130(constB5, bitIndex1)),
% 7.01/4.94 inference(unit_resolution,[status(thm)],[3853, 3705])).
% 7.01/4.94 tff(3855,plain,
% 7.01/4.94 (((~v127(constB5, bitIndex1)) <=> v130(constB5, bitIndex1)) | (~v127(constB5, bitIndex1)) | v130(constB5, bitIndex1)),
% 7.01/4.94 inference(tautology,[status(thm)],[])).
% 7.01/4.94 tff(3856,plain,
% 7.01/4.94 (~v127(constB5, bitIndex1)),
% 7.01/4.94 inference(unit_resolution,[status(thm)],[3855, 3854, 3852])).
% 7.01/4.94 tff(3857,plain,
% 7.01/4.94 (((~v129(constB6, bitIndex1)) <=> v127(constB5, bitIndex1)) | (~v129(constB6, bitIndex1)) | v127(constB5, bitIndex1)),
% 7.01/4.94 inference(tautology,[status(thm)],[])).
% 7.01/4.94 tff(3858,plain,
% 7.01/4.94 (~v129(constB6, bitIndex1)),
% 7.01/4.94 inference(unit_resolution,[status(thm)],[3857, 3856, 3850])).
% 7.01/4.94 tff(3859,plain,
% 7.01/4.94 ((((~v90(constB6, bitIndex0)) <=> v129(constB6, bitIndex0)) | ((~v90(constB6, bitIndex2)) <=> v129(constB6, bitIndex2)) | ((~v90(constB6, bitIndex1)) <=> v129(constB6, bitIndex1))) | (~((~v90(constB6, bitIndex1)) <=> v129(constB6, bitIndex1)))),
% 7.01/4.94 inference(tautology,[status(thm)],[])).
% 7.01/4.94 tff(3860,plain,
% 7.01/4.94 (~((~v90(constB6, bitIndex1)) <=> v129(constB6, bitIndex1))),
% 7.01/4.94 inference(unit_resolution,[status(thm)],[3859, 3822])).
% 7.01/4.94 tff(3861,plain,
% 7.01/4.94 (((~v90(constB6, bitIndex1)) <=> v129(constB6, bitIndex1)) | (~v90(constB6, bitIndex1)) | v129(constB6, bitIndex1)),
% 7.01/4.94 inference(tautology,[status(thm)],[])).
% 7.01/4.94 tff(3862,plain,
% 7.01/4.94 (~v90(constB6, bitIndex1)),
% 7.01/4.94 inference(unit_resolution,[status(thm)],[3861, 3860, 3858])).
% 7.01/4.94 tff(3863,plain,
% 7.01/4.94 (((~v90(constB7, bitIndex1)) <=> v90(constB6, bitIndex1)) | (~v90(constB7, bitIndex1)) | v90(constB6, bitIndex1)),
% 7.01/4.94 inference(tautology,[status(thm)],[])).
% 7.01/4.94 tff(3864,plain,
% 7.01/4.94 (~v90(constB7, bitIndex1)),
% 7.01/4.94 inference(unit_resolution,[status(thm)],[3863, 3862, 3848])).
% 7.01/4.94 tff(3865,plain,
% 7.01/4.94 ((~(v90(constB7, bitIndex1) | v90(constB7, bitIndex2) | (~v90(constB7, bitIndex0)))) | v90(constB7, bitIndex1) | v90(constB7, bitIndex2) | (~v90(constB7, bitIndex0))),
% 7.01/4.94 inference(tautology,[status(thm)],[])).
% 7.01/4.94 tff(3866,plain,
% 7.01/4.94 (~(v90(constB7, bitIndex1) | v90(constB7, bitIndex2) | (~v90(constB7, bitIndex0)))),
% 7.01/4.94 inference(unit_resolution,[status(thm)],[3865, 3864, 3846, 3828])).
% 7.01/4.94 tff(3867,plain,
% 7.01/4.94 ((~(v120(constB7) <=> (~(v90(constB7, bitIndex1) | v90(constB7, bitIndex2) | (~v90(constB7, bitIndex0)))))) | v120(constB7) | (v90(constB7, bitIndex1) | v90(constB7, bitIndex2) | (~v90(constB7, bitIndex0)))),
% 7.01/4.94 inference(tautology,[status(thm)],[])).
% 7.01/4.94 tff(3868,plain,
% 7.01/4.94 (v120(constB7)),
% 7.01/4.94 inference(unit_resolution,[status(thm)],[3867, 3866, 2946])).
% 7.01/4.94 tff(3869,plain,
% 7.01/4.94 (^[VarCurr: $i] : refl(((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1))))) <=> ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1))))))),
% 7.01/4.94 inference(bind,[status(th)],[])).
% 7.01/4.94 tff(3870,plain,
% 7.01/4.94 (![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1))))) <=> ![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))),
% 7.01/4.94 inference(quant_intro,[status(thm)],[3869])).
% 7.01/4.94 tff(3871,plain,
% 7.01/4.94 (^[VarCurr: $i] : rewrite(((~v120(VarCurr)) | ((~v130(VarCurr, bitIndex2)) & v130(VarCurr, bitIndex1) & (~v130(VarCurr, bitIndex0)))) <=> ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1))))))),
% 7.01/4.94 inference(bind,[status(th)],[])).
% 7.01/4.94 tff(3872,plain,
% 7.01/4.94 (![VarCurr: $i] : ((~v120(VarCurr)) | ((~v130(VarCurr, bitIndex2)) & v130(VarCurr, bitIndex1) & (~v130(VarCurr, bitIndex0)))) <=> ![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))),
% 7.01/4.94 inference(quant_intro,[status(thm)],[3871])).
% 7.01/4.94 tff(3873,plain,
% 7.01/4.94 (![VarCurr: $i] : ((~v120(VarCurr)) | ((~v130(VarCurr, bitIndex2)) & v130(VarCurr, bitIndex1) & (~v130(VarCurr, bitIndex0)))) <=> ![VarCurr: $i] : ((~v120(VarCurr)) | ((~v130(VarCurr, bitIndex2)) & v130(VarCurr, bitIndex1) & (~v130(VarCurr, bitIndex0))))),
% 7.01/4.94 inference(rewrite,[status(thm)],[])).
% 7.01/4.94 tff(3874,plain,
% 7.01/4.94 (^[VarCurr: $i] : trans(monotonicity(trans(monotonicity(rewrite(((v130(VarCurr, bitIndex2) <=> $false) & (v130(VarCurr, bitIndex1) <=> $true)) <=> ((~v130(VarCurr, bitIndex2)) & v130(VarCurr, bitIndex1))), rewrite((v130(VarCurr, bitIndex0) <=> $false) <=> (~v130(VarCurr, bitIndex0))), ((((v130(VarCurr, bitIndex2) <=> $false) & (v130(VarCurr, bitIndex1) <=> $true)) & (v130(VarCurr, bitIndex0) <=> $false)) <=> (((~v130(VarCurr, bitIndex2)) & v130(VarCurr, bitIndex1)) & (~v130(VarCurr, bitIndex0))))), rewrite((((~v130(VarCurr, bitIndex2)) & v130(VarCurr, bitIndex1)) & (~v130(VarCurr, bitIndex0))) <=> ((~v130(VarCurr, bitIndex2)) & v130(VarCurr, bitIndex1) & (~v130(VarCurr, bitIndex0)))), ((((v130(VarCurr, bitIndex2) <=> $false) & (v130(VarCurr, bitIndex1) <=> $true)) & (v130(VarCurr, bitIndex0) <=> $false)) <=> ((~v130(VarCurr, bitIndex2)) & v130(VarCurr, bitIndex1) & (~v130(VarCurr, bitIndex0))))), ((v120(VarCurr) => (((v130(VarCurr, bitIndex2) <=> $false) & (v130(VarCurr, bitIndex1) <=> $true)) & (v130(VarCurr, bitIndex0) <=> $false))) <=> (v120(VarCurr) => ((~v130(VarCurr, bitIndex2)) & v130(VarCurr, bitIndex1) & (~v130(VarCurr, bitIndex0)))))), rewrite((v120(VarCurr) => ((~v130(VarCurr, bitIndex2)) & v130(VarCurr, bitIndex1) & (~v130(VarCurr, bitIndex0)))) <=> ((~v120(VarCurr)) | ((~v130(VarCurr, bitIndex2)) & v130(VarCurr, bitIndex1) & (~v130(VarCurr, bitIndex0))))), ((v120(VarCurr) => (((v130(VarCurr, bitIndex2) <=> $false) & (v130(VarCurr, bitIndex1) <=> $true)) & (v130(VarCurr, bitIndex0) <=> $false))) <=> ((~v120(VarCurr)) | ((~v130(VarCurr, bitIndex2)) & v130(VarCurr, bitIndex1) & (~v130(VarCurr, bitIndex0))))))),
% 7.01/4.94 inference(bind,[status(th)],[])).
% 7.01/4.94 tff(3875,plain,
% 7.01/4.94 (![VarCurr: $i] : (v120(VarCurr) => (((v130(VarCurr, bitIndex2) <=> $false) & (v130(VarCurr, bitIndex1) <=> $true)) & (v130(VarCurr, bitIndex0) <=> $false))) <=> ![VarCurr: $i] : ((~v120(VarCurr)) | ((~v130(VarCurr, bitIndex2)) & v130(VarCurr, bitIndex1) & (~v130(VarCurr, bitIndex0))))),
% 7.01/4.94 inference(quant_intro,[status(thm)],[3874])).
% 7.01/4.94 tff(3876,axiom,(![VarCurr: $i] : (v120(VarCurr) => (((v130(VarCurr, bitIndex2) <=> $false) & (v130(VarCurr, bitIndex1) <=> $true)) & (v130(VarCurr, bitIndex0) <=> $false)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1')).
% 7.01/4.94 tff(3877,plain,
% 7.01/4.94 (![VarCurr: $i] : ((~v120(VarCurr)) | ((~v130(VarCurr, bitIndex2)) & v130(VarCurr, bitIndex1) & (~v130(VarCurr, bitIndex0))))),
% 7.01/4.94 inference(modus_ponens,[status(thm)],[3876, 3875])).
% 7.01/4.94 tff(3878,plain,
% 7.01/4.94 (![VarCurr: $i] : ((~v120(VarCurr)) | ((~v130(VarCurr, bitIndex2)) & v130(VarCurr, bitIndex1) & (~v130(VarCurr, bitIndex0))))),
% 7.01/4.94 inference(modus_ponens,[status(thm)],[3877, 3873])).
% 7.01/4.94 tff(3879,plain,(
% 7.01/4.94 ![VarCurr: $i] : ((~v120(VarCurr)) | ((~v130(VarCurr, bitIndex2)) & v130(VarCurr, bitIndex1) & (~v130(VarCurr, bitIndex0))))),
% 7.01/4.94 inference(skolemize,[status(sab)],[3878])).
% 7.01/4.94 tff(3880,plain,
% 7.01/4.94 (![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))),
% 7.01/4.94 inference(modus_ponens,[status(thm)],[3879, 3872])).
% 7.01/4.94 tff(3881,plain,
% 7.01/4.94 (![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))),
% 7.01/4.94 inference(modus_ponens,[status(thm)],[3880, 3870])).
% 7.01/4.94 tff(3882,plain,
% 7.01/4.94 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB7)) | (~(v130(constB7, bitIndex2) | v130(constB7, bitIndex0) | (~v130(constB7, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB7)) | (~(v130(constB7, bitIndex2) | v130(constB7, bitIndex0) | (~v130(constB7, bitIndex1)))))),
% 7.01/4.94 inference(rewrite,[status(thm)],[])).
% 7.01/4.94 tff(3883,plain,
% 7.01/4.94 (((~v120(constB7)) | (~(v130(constB7, bitIndex0) | v130(constB7, bitIndex2) | (~v130(constB7, bitIndex1))))) <=> ((~v120(constB7)) | (~(v130(constB7, bitIndex2) | v130(constB7, bitIndex0) | (~v130(constB7, bitIndex1)))))),
% 7.01/4.94 inference(rewrite,[status(thm)],[])).
% 7.01/4.94 tff(3884,plain,
% 7.01/4.94 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB7)) | (~(v130(constB7, bitIndex0) | v130(constB7, bitIndex2) | (~v130(constB7, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB7)) | (~(v130(constB7, bitIndex2) | v130(constB7, bitIndex0) | (~v130(constB7, bitIndex1))))))),
% 7.01/4.94 inference(monotonicity,[status(thm)],[3883])).
% 7.01/4.94 tff(3885,plain,
% 7.01/4.94 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB7)) | (~(v130(constB7, bitIndex0) | v130(constB7, bitIndex2) | (~v130(constB7, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB7)) | (~(v130(constB7, bitIndex2) | v130(constB7, bitIndex0) | (~v130(constB7, bitIndex1)))))),
% 7.01/4.94 inference(transitivity,[status(thm)],[3884, 3882])).
% 7.01/4.94 tff(3886,plain,
% 7.01/4.94 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB7)) | (~(v130(constB7, bitIndex0) | v130(constB7, bitIndex2) | (~v130(constB7, bitIndex1)))))),
% 7.01/4.94 inference(quant_inst,[status(thm)],[])).
% 7.01/4.94 tff(3887,plain,
% 7.01/4.94 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB7)) | (~(v130(constB7, bitIndex2) | v130(constB7, bitIndex0) | (~v130(constB7, bitIndex1))))),
% 7.01/4.94 inference(modus_ponens,[status(thm)],[3886, 3885])).
% 7.01/4.94 tff(3888,plain,
% 7.01/4.94 ((~v120(constB7)) | (~(v130(constB7, bitIndex2) | v130(constB7, bitIndex0) | (~v130(constB7, bitIndex1))))),
% 7.01/4.94 inference(unit_resolution,[status(thm)],[3887, 3881])).
% 7.01/4.94 tff(3889,plain,
% 7.01/4.94 (~(v130(constB7, bitIndex2) | v130(constB7, bitIndex0) | (~v130(constB7, bitIndex1)))),
% 7.01/4.94 inference(unit_resolution,[status(thm)],[3888, 3868])).
% 7.01/4.94 tff(3890,plain,
% 7.01/4.94 ((v130(constB7, bitIndex2) | v130(constB7, bitIndex0) | (~v130(constB7, bitIndex1))) | (~v130(constB7, bitIndex2))),
% 7.01/4.94 inference(tautology,[status(thm)],[])).
% 7.01/4.94 tff(3891,plain,
% 7.01/4.94 (~v130(constB7, bitIndex2)),
% 7.01/4.94 inference(unit_resolution,[status(thm)],[3890, 3889])).
% 7.01/4.94 tff(3892,plain,
% 7.01/4.94 (((~v127(constB7, bitIndex2)) <=> v130(constB7, bitIndex2)) | (~v127(constB7, bitIndex2)) | v130(constB7, bitIndex2)),
% 7.01/4.94 inference(tautology,[status(thm)],[])).
% 7.01/4.94 tff(3893,plain,
% 7.01/4.94 (~v127(constB7, bitIndex2)),
% 7.01/4.94 inference(unit_resolution,[status(thm)],[3892, 3891, 2944])).
% 7.01/4.94 tff(3894,plain,
% 7.01/4.94 (((~v129(constB8, bitIndex2)) <=> v127(constB7, bitIndex2)) | (~v129(constB8, bitIndex2)) | v127(constB7, bitIndex2)),
% 7.01/4.94 inference(tautology,[status(thm)],[])).
% 7.01/4.94 tff(3895,plain,
% 7.01/4.94 (~v129(constB8, bitIndex2)),
% 7.01/4.94 inference(unit_resolution,[status(thm)],[3894, 3893, 2930])).
% 7.01/4.94 tff(3896,plain,
% 7.01/4.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB7, constB8)) | (v100(constB8) <=> (~((~v101(constB8)) | (~v110(constB8))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB7, constB8)) | (v100(constB8) <=> (~((~v101(constB8)) | (~v110(constB8))))))),
% 7.01/4.94 inference(rewrite,[status(thm)],[])).
% 7.01/4.94 tff(3897,plain,
% 7.01/4.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB7, constB8)) | (v100(constB8) <=> (~((~v101(constB8)) | (~v110(constB8))))))),
% 7.01/4.94 inference(quant_inst,[status(thm)],[])).
% 7.01/4.94 tff(3898,plain,
% 7.01/4.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB7, constB8)) | (v100(constB8) <=> (~((~v101(constB8)) | (~v110(constB8)))))),
% 7.01/4.94 inference(modus_ponens,[status(thm)],[3897, 3896])).
% 7.01/4.94 tff(3899,plain,
% 7.01/4.94 (v100(constB8) <=> (~((~v101(constB8)) | (~v110(constB8))))),
% 7.01/4.94 inference(unit_resolution,[status(thm)],[3898, 2924, 445])).
% 7.01/4.94 tff(3900,plain,
% 7.01/4.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB7, constB8)) | (v101(constB8) <=> (~((~v1(constB8)) | (~v102(constB8))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB7, constB8)) | (v101(constB8) <=> (~((~v1(constB8)) | (~v102(constB8))))))),
% 7.01/4.94 inference(rewrite,[status(thm)],[])).
% 7.01/4.94 tff(3901,plain,
% 7.01/4.94 (((~nextState(constB7, constB8)) | (v101(constB8) <=> (~((~v102(constB8)) | (~v1(constB8)))))) <=> ((~nextState(constB7, constB8)) | (v101(constB8) <=> (~((~v1(constB8)) | (~v102(constB8))))))),
% 7.01/4.94 inference(rewrite,[status(thm)],[])).
% 7.01/4.94 tff(3902,plain,
% 7.01/4.94 (((~![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) <=> (~((~v1(constB8)) | (~v102(constB8)))))))),
% 7.01/4.94 inference(monotonicity,[status(thm)],[3901])).
% 7.01/4.94 tff(3903,plain,
% 7.01/4.94 (((~![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) <=> (~((~v1(constB8)) | (~v102(constB8))))))),
% 7.01/4.94 inference(transitivity,[status(thm)],[3902, 3900])).
% 7.01/4.94 tff(3904,plain,
% 7.01/4.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB7, constB8)) | (v101(constB8) <=> (~((~v102(constB8)) | (~v1(constB8))))))),
% 7.01/4.94 inference(quant_inst,[status(thm)],[])).
% 7.01/4.94 tff(3905,plain,
% 7.01/4.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB7, constB8)) | (v101(constB8) <=> (~((~v1(constB8)) | (~v102(constB8)))))),
% 7.01/4.94 inference(modus_ponens,[status(thm)],[3904, 3903])).
% 7.01/4.94 tff(3906,plain,
% 7.01/4.94 (v101(constB8) <=> (~((~v1(constB8)) | (~v102(constB8))))),
% 7.01/4.94 inference(unit_resolution,[status(thm)],[3905, 2924, 465])).
% 7.01/4.94 tff(3907,plain,
% 7.01/4.94 (((~![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)))),
% 7.01/4.94 inference(rewrite,[status(thm)],[])).
% 7.01/4.94 tff(3908,plain,
% 7.01/4.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB7, constB8)) | ((~v102(constB8)) <=> v104(constB8)))),
% 7.01/4.94 inference(quant_inst,[status(thm)],[])).
% 7.01/4.94 tff(3909,plain,
% 7.01/4.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB7, constB8)) | ((~v102(constB8)) <=> v104(constB8))),
% 7.01/4.94 inference(modus_ponens,[status(thm)],[3908, 3907])).
% 7.01/4.94 tff(3910,plain,
% 7.01/4.94 ((~v102(constB8)) <=> v104(constB8)),
% 7.01/4.94 inference(unit_resolution,[status(thm)],[3909, 2924, 3244])).
% 7.01/4.94 tff(3911,plain,
% 7.01/4.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB7, constB8)) | (v104(constB8) <=> v1(constB7)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB7, constB8)) | (v104(constB8) <=> v1(constB7)))),
% 7.01/4.94 inference(rewrite,[status(thm)],[])).
% 7.01/4.94 tff(3912,plain,
% 7.01/4.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB7, constB8)) | (v104(constB8) <=> v1(constB7)))),
% 7.01/4.94 inference(quant_inst,[status(thm)],[])).
% 7.01/4.94 tff(3913,plain,
% 7.01/4.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB7, constB8)) | (v104(constB8) <=> v1(constB7))),
% 7.01/4.94 inference(modus_ponens,[status(thm)],[3912, 3911])).
% 7.01/4.94 tff(3914,plain,
% 7.01/4.94 (v104(constB8) <=> v1(constB7)),
% 7.01/4.94 inference(unit_resolution,[status(thm)],[3913, 2924, 3258])).
% 7.01/4.94 tff(3915,plain,
% 7.01/4.94 ((~(v104(constB8) <=> v1(constB7))) | (~v104(constB8)) | v1(constB7)),
% 7.01/4.94 inference(tautology,[status(thm)],[])).
% 7.01/4.94 tff(3916,plain,
% 7.01/4.94 ((~(v104(constB8) <=> v1(constB7))) | (~v104(constB8))),
% 7.01/4.94 inference(unit_resolution,[status(thm)],[3915, 2963])).
% 7.01/4.94 tff(3917,plain,
% 7.01/4.94 (~v104(constB8)),
% 7.01/4.94 inference(unit_resolution,[status(thm)],[3916, 3914])).
% 7.01/4.94 tff(3918,plain,
% 7.01/4.94 ((~((~v102(constB8)) <=> v104(constB8))) | v102(constB8) | v104(constB8)),
% 7.01/4.94 inference(tautology,[status(thm)],[])).
% 7.01/4.94 tff(3919,plain,
% 7.01/4.94 (v102(constB8)),
% 7.01/4.94 inference(unit_resolution,[status(thm)],[3918, 3917, 3910])).
% 7.01/4.94 tff(3920,plain,
% 7.01/4.94 (v1(constB8) <=> v1(constB8)),
% 7.01/4.94 inference(rewrite,[status(thm)],[])).
% 7.01/4.94 tff(3921,axiom,(v1(constB8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_8')).
% 7.01/4.94 tff(3922,plain,
% 7.01/4.94 (v1(constB8)),
% 7.01/4.94 inference(modus_ponens,[status(thm)],[3921, 3920])).
% 7.01/4.94 tff(3923,plain,
% 7.01/4.94 ((~((~v1(constB8)) | (~v102(constB8)))) | (~v1(constB8)) | (~v102(constB8))),
% 7.01/4.94 inference(tautology,[status(thm)],[])).
% 7.01/4.94 tff(3924,plain,
% 7.01/4.94 ((~((~v1(constB8)) | (~v102(constB8)))) | (~v102(constB8))),
% 7.01/4.94 inference(unit_resolution,[status(thm)],[3923, 3922])).
% 7.01/4.94 tff(3925,plain,
% 7.01/4.94 (~((~v1(constB8)) | (~v102(constB8)))),
% 7.01/4.94 inference(unit_resolution,[status(thm)],[3924, 3919])).
% 7.01/4.94 tff(3926,plain,
% 7.01/4.94 ((~(v101(constB8) <=> (~((~v1(constB8)) | (~v102(constB8)))))) | v101(constB8) | ((~v1(constB8)) | (~v102(constB8)))),
% 7.01/4.94 inference(tautology,[status(thm)],[])).
% 7.01/4.94 tff(3927,plain,
% 7.01/4.94 (v101(constB8)),
% 7.01/4.94 inference(unit_resolution,[status(thm)],[3926, 3925, 3906])).
% 7.01/4.94 tff(3928,plain,
% 7.01/4.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB7, constB8)) | (v110(constB8) <=> v108(constB7)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB7, constB8)) | (v110(constB8) <=> v108(constB7)))),
% 7.01/4.94 inference(rewrite,[status(thm)],[])).
% 7.01/4.94 tff(3929,plain,
% 7.01/4.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB7, constB8)) | (v110(constB8) <=> v108(constB7)))),
% 7.01/4.94 inference(quant_inst,[status(thm)],[])).
% 7.01/4.94 tff(3930,plain,
% 7.01/4.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB7, constB8)) | (v110(constB8) <=> v108(constB7))),
% 7.01/4.94 inference(modus_ponens,[status(thm)],[3929, 3928])).
% 7.01/4.94 tff(3931,plain,
% 7.01/4.94 (v110(constB8) <=> v108(constB7)),
% 7.01/4.94 inference(unit_resolution,[status(thm)],[3930, 2924, 3285])).
% 7.01/4.94 tff(3932,plain,
% 7.01/4.94 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB7) <=> (v111(constB7) | v112(constB7)))),
% 7.01/4.94 inference(quant_inst,[status(thm)],[])).
% 7.01/4.94 tff(3933,plain,
% 7.01/4.94 (v108(constB7) <=> (v111(constB7) | v112(constB7))),
% 7.01/4.94 inference(unit_resolution,[status(thm)],[3932, 3296])).
% 7.01/4.94 tff(3934,plain,
% 7.01/4.94 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB7) <=> (~((~v113(constB7)) | (~v126(constB7)))))),
% 7.01/4.94 inference(quant_inst,[status(thm)],[])).
% 7.01/4.94 tff(3935,plain,
% 7.01/4.94 (v112(constB7) <=> (~((~v113(constB7)) | (~v126(constB7))))),
% 7.01/4.94 inference(unit_resolution,[status(thm)],[3934, 3308])).
% 7.01/4.94 tff(3936,plain,
% 7.01/4.94 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB7) <=> (v114(constB7) | v125(constB7)))),
% 7.01/4.94 inference(quant_inst,[status(thm)],[])).
% 7.01/4.94 tff(3937,plain,
% 7.01/4.94 (v113(constB7) <=> (v114(constB7) | v125(constB7))),
% 7.01/4.94 inference(unit_resolution,[status(thm)],[3936, 3317])).
% 7.01/4.94 tff(3938,plain,
% 7.01/4.94 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB7) <=> (v115(constB7) | v124(constB7)))),
% 7.01/4.94 inference(quant_inst,[status(thm)],[])).
% 7.01/4.94 tff(3939,plain,
% 7.01/4.94 (v114(constB7) <=> (v115(constB7) | v124(constB7))),
% 7.01/4.94 inference(unit_resolution,[status(thm)],[3938, 3326])).
% 7.01/4.94 tff(3940,plain,
% 7.01/4.94 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB7) <=> (v116(constB7) | v123(constB7)))),
% 7.01/4.94 inference(quant_inst,[status(thm)],[])).
% 7.01/4.94 tff(3941,plain,
% 7.01/4.94 (v115(constB7) <=> (v116(constB7) | v123(constB7))),
% 7.01/4.94 inference(unit_resolution,[status(thm)],[3940, 3335])).
% 7.01/4.94 tff(3942,plain,
% 7.01/4.94 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB7) <=> (v117(constB7) | v122(constB7)))),
% 7.01/4.94 inference(quant_inst,[status(thm)],[])).
% 7.01/4.94 tff(3943,plain,
% 7.01/4.94 (v116(constB7) <=> (v117(constB7) | v122(constB7))),
% 7.01/4.94 inference(unit_resolution,[status(thm)],[3942, 3344])).
% 7.01/4.94 tff(3944,plain,
% 7.01/4.94 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB7) <=> (v118(constB7) | v121(constB7)))),
% 7.01/4.94 inference(quant_inst,[status(thm)],[])).
% 7.01/4.94 tff(3945,plain,
% 7.01/4.94 (v117(constB7) <=> (v118(constB7) | v121(constB7))),
% 7.01/4.94 inference(unit_resolution,[status(thm)],[3944, 3353])).
% 7.01/4.94 tff(3946,plain,
% 7.01/4.94 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB7) <=> (v119(constB7) | v120(constB7)))),
% 7.01/4.94 inference(quant_inst,[status(thm)],[])).
% 7.01/4.94 tff(3947,plain,
% 7.01/4.94 (v118(constB7) <=> (v119(constB7) | v120(constB7))),
% 7.01/4.95 inference(unit_resolution,[status(thm)],[3946, 3362])).
% 7.01/4.95 tff(3948,plain,
% 7.01/4.95 ((v119(constB7) | v120(constB7)) | (~v120(constB7))),
% 7.01/4.95 inference(tautology,[status(thm)],[])).
% 7.01/4.95 tff(3949,plain,
% 7.01/4.95 (v119(constB7) | v120(constB7)),
% 7.01/4.95 inference(unit_resolution,[status(thm)],[3948, 3868])).
% 7.01/4.95 tff(3950,plain,
% 7.01/4.95 ((~(v118(constB7) <=> (v119(constB7) | v120(constB7)))) | v118(constB7) | (~(v119(constB7) | v120(constB7)))),
% 7.01/4.95 inference(tautology,[status(thm)],[])).
% 7.01/4.95 tff(3951,plain,
% 7.01/4.95 (v118(constB7)),
% 7.01/4.95 inference(unit_resolution,[status(thm)],[3950, 3949, 3947])).
% 7.01/4.95 tff(3952,plain,
% 7.01/4.95 ((v118(constB7) | v121(constB7)) | (~v118(constB7))),
% 7.01/4.95 inference(tautology,[status(thm)],[])).
% 7.01/4.95 tff(3953,plain,
% 7.01/4.95 (v118(constB7) | v121(constB7)),
% 7.01/4.95 inference(unit_resolution,[status(thm)],[3952, 3951])).
% 7.01/4.95 tff(3954,plain,
% 7.01/4.95 ((~(v117(constB7) <=> (v118(constB7) | v121(constB7)))) | v117(constB7) | (~(v118(constB7) | v121(constB7)))),
% 7.01/4.95 inference(tautology,[status(thm)],[])).
% 7.01/4.95 tff(3955,plain,
% 7.01/4.95 (v117(constB7)),
% 7.01/4.95 inference(unit_resolution,[status(thm)],[3954, 3953, 3945])).
% 7.01/4.95 tff(3956,plain,
% 7.01/4.95 ((v117(constB7) | v122(constB7)) | (~v117(constB7))),
% 7.01/4.95 inference(tautology,[status(thm)],[])).
% 7.01/4.95 tff(3957,plain,
% 7.01/4.95 (v117(constB7) | v122(constB7)),
% 7.01/4.95 inference(unit_resolution,[status(thm)],[3956, 3955])).
% 7.01/4.95 tff(3958,plain,
% 7.01/4.95 ((~(v116(constB7) <=> (v117(constB7) | v122(constB7)))) | v116(constB7) | (~(v117(constB7) | v122(constB7)))),
% 7.01/4.95 inference(tautology,[status(thm)],[])).
% 7.01/4.95 tff(3959,plain,
% 7.01/4.95 (v116(constB7)),
% 7.01/4.95 inference(unit_resolution,[status(thm)],[3958, 3957, 3943])).
% 7.01/4.95 tff(3960,plain,
% 7.01/4.95 ((v116(constB7) | v123(constB7)) | (~v116(constB7))),
% 7.01/4.95 inference(tautology,[status(thm)],[])).
% 7.01/4.95 tff(3961,plain,
% 7.01/4.95 (v116(constB7) | v123(constB7)),
% 7.01/4.95 inference(unit_resolution,[status(thm)],[3960, 3959])).
% 7.01/4.95 tff(3962,plain,
% 7.01/4.95 ((~(v115(constB7) <=> (v116(constB7) | v123(constB7)))) | v115(constB7) | (~(v116(constB7) | v123(constB7)))),
% 7.01/4.95 inference(tautology,[status(thm)],[])).
% 7.01/4.95 tff(3963,plain,
% 7.01/4.95 (v115(constB7)),
% 7.01/4.95 inference(unit_resolution,[status(thm)],[3962, 3961, 3941])).
% 7.01/4.95 tff(3964,plain,
% 7.01/4.95 ((v115(constB7) | v124(constB7)) | (~v115(constB7))),
% 7.01/4.95 inference(tautology,[status(thm)],[])).
% 7.01/4.95 tff(3965,plain,
% 7.01/4.95 (v115(constB7) | v124(constB7)),
% 7.01/4.95 inference(unit_resolution,[status(thm)],[3964, 3963])).
% 7.01/4.95 tff(3966,plain,
% 7.01/4.95 ((~(v114(constB7) <=> (v115(constB7) | v124(constB7)))) | v114(constB7) | (~(v115(constB7) | v124(constB7)))),
% 7.01/4.95 inference(tautology,[status(thm)],[])).
% 7.01/4.95 tff(3967,plain,
% 7.01/4.95 (v114(constB7)),
% 7.01/4.95 inference(unit_resolution,[status(thm)],[3966, 3965, 3939])).
% 7.01/4.95 tff(3968,plain,
% 7.01/4.95 ((v114(constB7) | v125(constB7)) | (~v114(constB7))),
% 7.01/4.95 inference(tautology,[status(thm)],[])).
% 7.01/4.95 tff(3969,plain,
% 7.01/4.95 (v114(constB7) | v125(constB7)),
% 7.01/4.95 inference(unit_resolution,[status(thm)],[3968, 3967])).
% 7.01/4.95 tff(3970,plain,
% 7.01/4.95 ((~(v113(constB7) <=> (v114(constB7) | v125(constB7)))) | v113(constB7) | (~(v114(constB7) | v125(constB7)))),
% 7.01/4.95 inference(tautology,[status(thm)],[])).
% 7.01/4.95 tff(3971,plain,
% 7.01/4.95 (v113(constB7)),
% 7.01/4.95 inference(unit_resolution,[status(thm)],[3970, 3969, 3937])).
% 7.01/4.95 tff(3972,plain,
% 7.01/4.95 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB7)) <=> v111(constB7))),
% 7.01/4.95 inference(quant_inst,[status(thm)],[])).
% 7.01/4.95 tff(3973,plain,
% 7.01/4.95 ((~v126(constB7)) <=> v111(constB7)),
% 7.01/4.95 inference(unit_resolution,[status(thm)],[3972, 3396])).
% 7.01/4.95 tff(3974,plain,
% 7.01/4.95 ((~((~v126(constB7)) <=> v111(constB7))) | v126(constB7) | v111(constB7)),
% 7.01/4.95 inference(tautology,[status(thm)],[])).
% 7.01/4.95 tff(3975,plain,
% 7.01/4.95 ((~((~v126(constB7)) <=> v111(constB7))) | v126(constB7)),
% 7.01/4.95 inference(unit_resolution,[status(thm)],[3974, 2937])).
% 7.01/4.95 tff(3976,plain,
% 7.01/4.95 (v126(constB7)),
% 7.01/4.95 inference(unit_resolution,[status(thm)],[3975, 3973])).
% 7.01/4.95 tff(3977,plain,
% 7.01/4.95 ((~((~v113(constB7)) | (~v126(constB7)))) | (~v113(constB7)) | (~v126(constB7))),
% 7.01/4.95 inference(tautology,[status(thm)],[])).
% 7.01/4.95 tff(3978,plain,
% 7.01/4.95 ((~((~v113(constB7)) | (~v126(constB7)))) | (~v113(constB7))),
% 7.01/4.95 inference(unit_resolution,[status(thm)],[3977, 3976])).
% 7.01/4.95 tff(3979,plain,
% 7.01/4.95 (~((~v113(constB7)) | (~v126(constB7)))),
% 7.01/4.95 inference(unit_resolution,[status(thm)],[3978, 3971])).
% 7.01/4.95 tff(3980,plain,
% 7.01/4.95 ((~(v112(constB7) <=> (~((~v113(constB7)) | (~v126(constB7)))))) | v112(constB7) | ((~v113(constB7)) | (~v126(constB7)))),
% 7.01/4.95 inference(tautology,[status(thm)],[])).
% 7.01/4.95 tff(3981,plain,
% 7.01/4.95 (v112(constB7)),
% 7.01/4.95 inference(unit_resolution,[status(thm)],[3980, 3979, 3935])).
% 7.01/4.95 tff(3982,plain,
% 7.01/4.95 ((v111(constB7) | v112(constB7)) | (~v112(constB7))),
% 7.01/4.95 inference(tautology,[status(thm)],[])).
% 7.01/4.95 tff(3983,plain,
% 7.01/4.95 (v111(constB7) | v112(constB7)),
% 7.01/4.95 inference(unit_resolution,[status(thm)],[3982, 3981])).
% 7.01/4.95 tff(3984,plain,
% 7.01/4.95 ((~(v108(constB7) <=> (v111(constB7) | v112(constB7)))) | v108(constB7) | (~(v111(constB7) | v112(constB7)))),
% 7.01/4.95 inference(tautology,[status(thm)],[])).
% 7.01/4.95 tff(3985,plain,
% 7.01/4.95 (v108(constB7)),
% 7.01/4.95 inference(unit_resolution,[status(thm)],[3984, 3983, 3933])).
% 7.01/4.95 tff(3986,plain,
% 7.01/4.95 ((~(v110(constB8) <=> v108(constB7))) | v110(constB8) | (~v108(constB7))),
% 7.01/4.95 inference(tautology,[status(thm)],[])).
% 7.01/4.95 tff(3987,plain,
% 7.01/4.95 (v110(constB8)),
% 7.01/4.95 inference(unit_resolution,[status(thm)],[3986, 3985, 3931])).
% 7.01/4.95 tff(3988,plain,
% 7.01/4.95 ((~((~v101(constB8)) | (~v110(constB8)))) | (~v101(constB8)) | (~v110(constB8))),
% 7.01/4.95 inference(tautology,[status(thm)],[])).
% 7.01/4.95 tff(3989,plain,
% 7.01/4.95 (~((~v101(constB8)) | (~v110(constB8)))),
% 7.01/4.95 inference(unit_resolution,[status(thm)],[3988, 3987, 3927])).
% 7.01/4.95 tff(3990,plain,
% 7.01/4.95 ((~(v100(constB8) <=> (~((~v101(constB8)) | (~v110(constB8)))))) | v100(constB8) | ((~v101(constB8)) | (~v110(constB8)))),
% 7.01/4.95 inference(tautology,[status(thm)],[])).
% 7.01/4.95 tff(3991,plain,
% 7.01/4.95 (v100(constB8)),
% 7.01/4.95 inference(unit_resolution,[status(thm)],[3990, 3989, 3899])).
% 7.01/4.95 tff(3992,plain,
% 7.01/4.95 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB8)) | (~(((~v90(constB8, bitIndex2)) <=> v129(constB8, bitIndex2)) | ((~v90(constB8, bitIndex1)) <=> v129(constB8, bitIndex1)) | ((~v90(constB8, bitIndex0)) <=> v129(constB8, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB8)) | (~(((~v90(constB8, bitIndex2)) <=> v129(constB8, bitIndex2)) | ((~v90(constB8, bitIndex1)) <=> v129(constB8, bitIndex1)) | ((~v90(constB8, bitIndex0)) <=> v129(constB8, bitIndex0)))))),
% 7.01/4.95 inference(rewrite,[status(thm)],[])).
% 7.01/4.95 tff(3993,plain,
% 7.01/4.95 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB8)) | (~(((~v90(constB8, bitIndex2)) <=> v129(constB8, bitIndex2)) | ((~v90(constB8, bitIndex1)) <=> v129(constB8, bitIndex1)) | ((~v90(constB8, bitIndex0)) <=> v129(constB8, bitIndex0)))))),
% 7.01/4.95 inference(quant_inst,[status(thm)],[])).
% 7.01/4.95 tff(3994,plain,
% 7.01/4.95 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB8)) | (~(((~v90(constB8, bitIndex2)) <=> v129(constB8, bitIndex2)) | ((~v90(constB8, bitIndex1)) <=> v129(constB8, bitIndex1)) | ((~v90(constB8, bitIndex0)) <=> v129(constB8, bitIndex0))))),
% 7.01/4.95 inference(modus_ponens,[status(thm)],[3993, 3992])).
% 7.01/4.95 tff(3995,plain,
% 7.01/4.95 ((~v100(constB8)) | (~(((~v90(constB8, bitIndex2)) <=> v129(constB8, bitIndex2)) | ((~v90(constB8, bitIndex1)) <=> v129(constB8, bitIndex1)) | ((~v90(constB8, bitIndex0)) <=> v129(constB8, bitIndex0))))),
% 7.01/4.95 inference(unit_resolution,[status(thm)],[3994, 3429])).
% 7.01/4.95 tff(3996,plain,
% 7.01/4.95 (~(((~v90(constB8, bitIndex2)) <=> v129(constB8, bitIndex2)) | ((~v90(constB8, bitIndex1)) <=> v129(constB8, bitIndex1)) | ((~v90(constB8, bitIndex0)) <=> v129(constB8, bitIndex0)))),
% 7.01/4.95 inference(unit_resolution,[status(thm)],[3995, 3991])).
% 7.01/4.95 tff(3997,plain,
% 7.01/4.95 ((((~v90(constB8, bitIndex2)) <=> v129(constB8, bitIndex2)) | ((~v90(constB8, bitIndex1)) <=> v129(constB8, bitIndex1)) | ((~v90(constB8, bitIndex0)) <=> v129(constB8, bitIndex0))) | (~((~v90(constB8, bitIndex2)) <=> v129(constB8, bitIndex2)))),
% 7.01/4.95 inference(tautology,[status(thm)],[])).
% 7.01/4.95 tff(3998,plain,
% 7.01/4.95 (~((~v90(constB8, bitIndex2)) <=> v129(constB8, bitIndex2))),
% 7.01/4.95 inference(unit_resolution,[status(thm)],[3997, 3996])).
% 7.01/4.95 tff(3999,plain,
% 7.01/4.95 (((~v90(constB8, bitIndex2)) <=> v129(constB8, bitIndex2)) | (~v90(constB8, bitIndex2)) | v129(constB8, bitIndex2)),
% 7.01/4.95 inference(tautology,[status(thm)],[])).
% 7.01/4.95 tff(4000,plain,
% 7.01/4.95 (~v90(constB8, bitIndex2)),
% 7.01/4.95 inference(unit_resolution,[status(thm)],[3999, 3998, 3895])).
% 7.01/4.95 tff(4001,plain,
% 7.01/4.95 (((~v90(constB9, bitIndex2)) <=> v90(constB8, bitIndex2)) | (~v90(constB9, bitIndex2)) | v90(constB8, bitIndex2)),
% 7.01/4.95 inference(tautology,[status(thm)],[])).
% 7.01/4.95 tff(4002,plain,
% 7.01/4.95 (~v90(constB9, bitIndex2)),
% 7.01/4.95 inference(unit_resolution,[status(thm)],[4001, 4000, 2921])).
% 7.01/4.95 tff(4003,plain,
% 7.01/4.95 ((((~v90(constB9, bitIndex1)) <=> v90(constB8, bitIndex1)) | ((~v90(constB9, bitIndex2)) <=> v90(constB8, bitIndex2)) | ((~v90(constB9, bitIndex0)) <=> v90(constB8, bitIndex0))) | (~((~v90(constB9, bitIndex0)) <=> v90(constB8, bitIndex0)))),
% 7.01/4.95 inference(tautology,[status(thm)],[])).
% 7.01/4.95 tff(4004,plain,
% 7.01/4.95 (~((~v90(constB9, bitIndex0)) <=> v90(constB8, bitIndex0))),
% 7.01/4.95 inference(unit_resolution,[status(thm)],[4003, 2919])).
% 7.01/4.95 tff(4005,plain,
% 7.01/4.95 ((((~v129(constB8, bitIndex2)) <=> v127(constB7, bitIndex2)) | ((~v129(constB8, bitIndex1)) <=> v127(constB7, bitIndex1)) | ((~v129(constB8, bitIndex0)) <=> v127(constB7, bitIndex0))) | (~((~v129(constB8, bitIndex0)) <=> v127(constB7, bitIndex0)))),
% 7.01/4.95 inference(tautology,[status(thm)],[])).
% 7.01/4.95 tff(4006,plain,
% 7.01/4.95 (~((~v129(constB8, bitIndex0)) <=> v127(constB7, bitIndex0))),
% 7.01/4.95 inference(unit_resolution,[status(thm)],[4005, 2928])).
% 7.01/4.95 tff(4007,plain,
% 7.01/4.95 ((((~v127(constB7, bitIndex2)) <=> v130(constB7, bitIndex2)) | ((~v127(constB7, bitIndex1)) <=> v130(constB7, bitIndex1)) | ((~v127(constB7, bitIndex0)) <=> v130(constB7, bitIndex0))) | (~((~v127(constB7, bitIndex0)) <=> v130(constB7, bitIndex0)))),
% 7.01/4.95 inference(tautology,[status(thm)],[])).
% 7.01/4.95 tff(4008,plain,
% 7.01/4.95 (~((~v127(constB7, bitIndex0)) <=> v130(constB7, bitIndex0))),
% 7.01/4.95 inference(unit_resolution,[status(thm)],[4007, 2942])).
% 7.01/4.95 tff(4009,plain,
% 7.01/4.95 ((v130(constB7, bitIndex2) | v130(constB7, bitIndex0) | (~v130(constB7, bitIndex1))) | (~v130(constB7, bitIndex0))),
% 7.01/4.95 inference(tautology,[status(thm)],[])).
% 7.01/4.95 tff(4010,plain,
% 7.01/4.95 (~v130(constB7, bitIndex0)),
% 7.01/4.95 inference(unit_resolution,[status(thm)],[4009, 3889])).
% 7.01/4.95 tff(4011,plain,
% 7.01/4.95 (((~v127(constB7, bitIndex0)) <=> v130(constB7, bitIndex0)) | (~v127(constB7, bitIndex0)) | v130(constB7, bitIndex0)),
% 7.01/4.95 inference(tautology,[status(thm)],[])).
% 7.01/4.95 tff(4012,plain,
% 7.01/4.95 (~v127(constB7, bitIndex0)),
% 7.01/4.95 inference(unit_resolution,[status(thm)],[4011, 4010, 4008])).
% 7.01/4.95 tff(4013,plain,
% 7.01/4.95 (((~v129(constB8, bitIndex0)) <=> v127(constB7, bitIndex0)) | (~v129(constB8, bitIndex0)) | v127(constB7, bitIndex0)),
% 7.01/4.95 inference(tautology,[status(thm)],[])).
% 7.01/4.95 tff(4014,plain,
% 7.01/4.95 (~v129(constB8, bitIndex0)),
% 7.01/4.95 inference(unit_resolution,[status(thm)],[4013, 4012, 4006])).
% 7.01/4.95 tff(4015,plain,
% 7.01/4.95 ((((~v90(constB8, bitIndex2)) <=> v129(constB8, bitIndex2)) | ((~v90(constB8, bitIndex1)) <=> v129(constB8, bitIndex1)) | ((~v90(constB8, bitIndex0)) <=> v129(constB8, bitIndex0))) | (~((~v90(constB8, bitIndex0)) <=> v129(constB8, bitIndex0)))),
% 7.01/4.95 inference(tautology,[status(thm)],[])).
% 7.01/4.95 tff(4016,plain,
% 7.01/4.95 (~((~v90(constB8, bitIndex0)) <=> v129(constB8, bitIndex0))),
% 7.01/4.95 inference(unit_resolution,[status(thm)],[4015, 3996])).
% 7.01/4.95 tff(4017,plain,
% 7.01/4.95 (((~v90(constB8, bitIndex0)) <=> v129(constB8, bitIndex0)) | (~v90(constB8, bitIndex0)) | v129(constB8, bitIndex0)),
% 7.01/4.95 inference(tautology,[status(thm)],[])).
% 7.01/4.95 tff(4018,plain,
% 7.01/4.95 (~v90(constB8, bitIndex0)),
% 7.01/4.95 inference(unit_resolution,[status(thm)],[4017, 4016, 4014])).
% 7.01/4.95 tff(4019,plain,
% 7.01/4.95 (((~v90(constB9, bitIndex0)) <=> v90(constB8, bitIndex0)) | (~v90(constB9, bitIndex0)) | v90(constB8, bitIndex0)),
% 7.01/4.95 inference(tautology,[status(thm)],[])).
% 7.01/4.95 tff(4020,plain,
% 7.01/4.95 (~v90(constB9, bitIndex0)),
% 7.01/4.95 inference(unit_resolution,[status(thm)],[4019, 4018, 4004])).
% 7.01/4.95 tff(4021,plain,
% 7.01/4.95 ((((~v90(constB9, bitIndex1)) <=> v90(constB8, bitIndex1)) | ((~v90(constB9, bitIndex2)) <=> v90(constB8, bitIndex2)) | ((~v90(constB9, bitIndex0)) <=> v90(constB8, bitIndex0))) | (~((~v90(constB9, bitIndex1)) <=> v90(constB8, bitIndex1)))),
% 7.01/4.95 inference(tautology,[status(thm)],[])).
% 7.01/4.95 tff(4022,plain,
% 7.01/4.95 (~((~v90(constB9, bitIndex1)) <=> v90(constB8, bitIndex1))),
% 7.01/4.95 inference(unit_resolution,[status(thm)],[4021, 2919])).
% 7.01/4.95 tff(4023,plain,
% 7.01/4.95 ((((~v129(constB8, bitIndex2)) <=> v127(constB7, bitIndex2)) | ((~v129(constB8, bitIndex1)) <=> v127(constB7, bitIndex1)) | ((~v129(constB8, bitIndex0)) <=> v127(constB7, bitIndex0))) | (~((~v129(constB8, bitIndex1)) <=> v127(constB7, bitIndex1)))),
% 7.01/4.95 inference(tautology,[status(thm)],[])).
% 7.01/4.95 tff(4024,plain,
% 7.01/4.95 (~((~v129(constB8, bitIndex1)) <=> v127(constB7, bitIndex1))),
% 7.01/4.95 inference(unit_resolution,[status(thm)],[4023, 2928])).
% 7.01/4.95 tff(4025,plain,
% 7.01/4.95 ((((~v127(constB7, bitIndex2)) <=> v130(constB7, bitIndex2)) | ((~v127(constB7, bitIndex1)) <=> v130(constB7, bitIndex1)) | ((~v127(constB7, bitIndex0)) <=> v130(constB7, bitIndex0))) | (~((~v127(constB7, bitIndex1)) <=> v130(constB7, bitIndex1)))),
% 7.01/4.95 inference(tautology,[status(thm)],[])).
% 7.01/4.95 tff(4026,plain,
% 7.01/4.95 (~((~v127(constB7, bitIndex1)) <=> v130(constB7, bitIndex1))),
% 7.01/4.95 inference(unit_resolution,[status(thm)],[4025, 2942])).
% 7.01/4.95 tff(4027,plain,
% 7.01/4.95 ((v130(constB7, bitIndex2) | v130(constB7, bitIndex0) | (~v130(constB7, bitIndex1))) | v130(constB7, bitIndex1)),
% 7.01/4.95 inference(tautology,[status(thm)],[])).
% 7.01/4.95 tff(4028,plain,
% 7.01/4.95 (v130(constB7, bitIndex1)),
% 7.01/4.95 inference(unit_resolution,[status(thm)],[4027, 3889])).
% 7.01/4.95 tff(4029,plain,
% 7.01/4.95 (((~v127(constB7, bitIndex1)) <=> v130(constB7, bitIndex1)) | v127(constB7, bitIndex1) | (~v130(constB7, bitIndex1))),
% 7.01/4.95 inference(tautology,[status(thm)],[])).
% 7.01/4.95 tff(4030,plain,
% 7.01/4.95 (v127(constB7, bitIndex1)),
% 7.01/4.95 inference(unit_resolution,[status(thm)],[4029, 4028, 4026])).
% 7.01/4.95 tff(4031,plain,
% 7.01/4.95 (((~v129(constB8, bitIndex1)) <=> v127(constB7, bitIndex1)) | v129(constB8, bitIndex1) | (~v127(constB7, bitIndex1))),
% 7.01/4.95 inference(tautology,[status(thm)],[])).
% 7.01/4.95 tff(4032,plain,
% 7.01/4.95 (v129(constB8, bitIndex1)),
% 7.01/4.95 inference(unit_resolution,[status(thm)],[4031, 4030, 4024])).
% 7.01/4.95 tff(4033,plain,
% 7.01/4.95 ((((~v90(constB8, bitIndex2)) <=> v129(constB8, bitIndex2)) | ((~v90(constB8, bitIndex1)) <=> v129(constB8, bitIndex1)) | ((~v90(constB8, bitIndex0)) <=> v129(constB8, bitIndex0))) | (~((~v90(constB8, bitIndex1)) <=> v129(constB8, bitIndex1)))),
% 7.01/4.95 inference(tautology,[status(thm)],[])).
% 7.01/4.95 tff(4034,plain,
% 7.01/4.95 (~((~v90(constB8, bitIndex1)) <=> v129(constB8, bitIndex1))),
% 7.01/4.95 inference(unit_resolution,[status(thm)],[4033, 3996])).
% 7.01/4.95 tff(4035,plain,
% 7.01/4.95 (((~v90(constB8, bitIndex1)) <=> v129(constB8, bitIndex1)) | v90(constB8, bitIndex1) | (~v129(constB8, bitIndex1))),
% 7.01/4.95 inference(tautology,[status(thm)],[])).
% 7.01/4.95 tff(4036,plain,
% 7.01/4.95 (v90(constB8, bitIndex1)),
% 7.01/4.95 inference(unit_resolution,[status(thm)],[4035, 4034, 4032])).
% 7.01/4.95 tff(4037,plain,
% 7.01/4.95 (((~v90(constB9, bitIndex1)) <=> v90(constB8, bitIndex1)) | v90(constB9, bitIndex1) | (~v90(constB8, bitIndex1))),
% 7.01/4.95 inference(tautology,[status(thm)],[])).
% 7.01/4.95 tff(4038,plain,
% 7.01/4.95 (v90(constB9, bitIndex1)),
% 7.01/4.95 inference(unit_resolution,[status(thm)],[4037, 4036, 4022])).
% 7.01/4.95 tff(4039,plain,
% 7.01/4.95 ((~(v90(constB9, bitIndex2) | v90(constB9, bitIndex0) | (~v90(constB9, bitIndex1)))) | v90(constB9, bitIndex2) | v90(constB9, bitIndex0) | (~v90(constB9, bitIndex1))),
% 7.01/4.95 inference(tautology,[status(thm)],[])).
% 7.01/4.95 tff(4040,plain,
% 7.01/4.95 (~(v90(constB9, bitIndex2) | v90(constB9, bitIndex0) | (~v90(constB9, bitIndex1)))),
% 7.01/4.95 inference(unit_resolution,[status(thm)],[4039, 4038, 4020, 4002])).
% 7.01/4.95 tff(4041,plain,
% 7.01/4.95 ((~(v121(constB9) <=> (~(v90(constB9, bitIndex2) | v90(constB9, bitIndex0) | (~v90(constB9, bitIndex1)))))) | v121(constB9) | (v90(constB9, bitIndex2) | v90(constB9, bitIndex0) | (~v90(constB9, bitIndex1)))),
% 7.01/4.95 inference(tautology,[status(thm)],[])).
% 7.01/4.95 tff(4042,plain,
% 7.01/4.95 (v121(constB9)),
% 7.01/4.95 inference(unit_resolution,[status(thm)],[4041, 4040, 2885])).
% 7.01/4.95 tff(4043,plain,
% 7.01/4.95 (^[VarCurr: $i] : refl(((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0))))) <=> ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0))))))),
% 7.01/4.95 inference(bind,[status(th)],[])).
% 7.01/4.95 tff(4044,plain,
% 7.01/4.95 (![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0))))) <=> ![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))),
% 7.01/4.95 inference(quant_intro,[status(thm)],[4043])).
% 7.01/4.95 tff(4045,plain,
% 7.01/4.95 (^[VarCurr: $i] : rewrite(((~v121(VarCurr)) | ((~v130(VarCurr, bitIndex2)) & v130(VarCurr, bitIndex1) & v130(VarCurr, bitIndex0))) <=> ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0))))))),
% 7.01/4.95 inference(bind,[status(th)],[])).
% 7.01/4.95 tff(4046,plain,
% 7.01/4.95 (![VarCurr: $i] : ((~v121(VarCurr)) | ((~v130(VarCurr, bitIndex2)) & v130(VarCurr, bitIndex1) & v130(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))),
% 7.01/4.95 inference(quant_intro,[status(thm)],[4045])).
% 7.01/4.95 tff(4047,plain,
% 7.01/4.95 (![VarCurr: $i] : ((~v121(VarCurr)) | ((~v130(VarCurr, bitIndex2)) & v130(VarCurr, bitIndex1) & v130(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((~v121(VarCurr)) | ((~v130(VarCurr, bitIndex2)) & v130(VarCurr, bitIndex1) & v130(VarCurr, bitIndex0)))),
% 7.01/4.95 inference(rewrite,[status(thm)],[])).
% 7.01/4.95 tff(4048,plain,
% 7.01/4.95 (^[VarCurr: $i] : trans(monotonicity(trans(monotonicity(rewrite(((v130(VarCurr, bitIndex2) <=> $false) & (v130(VarCurr, bitIndex1) <=> $true)) <=> ((~v130(VarCurr, bitIndex2)) & v130(VarCurr, bitIndex1))), rewrite((v130(VarCurr, bitIndex0) <=> $true) <=> v130(VarCurr, bitIndex0)), ((((v130(VarCurr, bitIndex2) <=> $false) & (v130(VarCurr, bitIndex1) <=> $true)) & (v130(VarCurr, bitIndex0) <=> $true)) <=> (((~v130(VarCurr, bitIndex2)) & v130(VarCurr, bitIndex1)) & v130(VarCurr, bitIndex0)))), rewrite((((~v130(VarCurr, bitIndex2)) & v130(VarCurr, bitIndex1)) & v130(VarCurr, bitIndex0)) <=> ((~v130(VarCurr, bitIndex2)) & v130(VarCurr, bitIndex1) & v130(VarCurr, bitIndex0))), ((((v130(VarCurr, bitIndex2) <=> $false) & (v130(VarCurr, bitIndex1) <=> $true)) & (v130(VarCurr, bitIndex0) <=> $true)) <=> ((~v130(VarCurr, bitIndex2)) & v130(VarCurr, bitIndex1) & v130(VarCurr, bitIndex0)))), ((v121(VarCurr) => (((v130(VarCurr, bitIndex2) <=> $false) & (v130(VarCurr, bitIndex1) <=> $true)) & (v130(VarCurr, bitIndex0) <=> $true))) <=> (v121(VarCurr) => ((~v130(VarCurr, bitIndex2)) & v130(VarCurr, bitIndex1) & v130(VarCurr, bitIndex0))))), rewrite((v121(VarCurr) => ((~v130(VarCurr, bitIndex2)) & v130(VarCurr, bitIndex1) & v130(VarCurr, bitIndex0))) <=> ((~v121(VarCurr)) | ((~v130(VarCurr, bitIndex2)) & v130(VarCurr, bitIndex1) & v130(VarCurr, bitIndex0)))), ((v121(VarCurr) => (((v130(VarCurr, bitIndex2) <=> $false) & (v130(VarCurr, bitIndex1) <=> $true)) & (v130(VarCurr, bitIndex0) <=> $true))) <=> ((~v121(VarCurr)) | ((~v130(VarCurr, bitIndex2)) & v130(VarCurr, bitIndex1) & v130(VarCurr, bitIndex0)))))),
% 7.01/4.95 inference(bind,[status(th)],[])).
% 7.01/4.95 tff(4049,plain,
% 7.01/4.95 (![VarCurr: $i] : (v121(VarCurr) => (((v130(VarCurr, bitIndex2) <=> $false) & (v130(VarCurr, bitIndex1) <=> $true)) & (v130(VarCurr, bitIndex0) <=> $true))) <=> ![VarCurr: $i] : ((~v121(VarCurr)) | ((~v130(VarCurr, bitIndex2)) & v130(VarCurr, bitIndex1) & v130(VarCurr, bitIndex0)))),
% 7.01/4.95 inference(quant_intro,[status(thm)],[4048])).
% 7.01/4.95 tff(4050,axiom,(![VarCurr: $i] : (v121(VarCurr) => (((v130(VarCurr, bitIndex2) <=> $false) & (v130(VarCurr, bitIndex1) <=> $true)) & (v130(VarCurr, bitIndex0) <=> $true)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges2')).
% 7.01/4.95 tff(4051,plain,
% 7.01/4.95 (![VarCurr: $i] : ((~v121(VarCurr)) | ((~v130(VarCurr, bitIndex2)) & v130(VarCurr, bitIndex1) & v130(VarCurr, bitIndex0)))),
% 7.01/4.95 inference(modus_ponens,[status(thm)],[4050, 4049])).
% 7.01/4.95 tff(4052,plain,
% 7.01/4.95 (![VarCurr: $i] : ((~v121(VarCurr)) | ((~v130(VarCurr, bitIndex2)) & v130(VarCurr, bitIndex1) & v130(VarCurr, bitIndex0)))),
% 7.01/4.95 inference(modus_ponens,[status(thm)],[4051, 4047])).
% 7.01/4.95 tff(4053,plain,(
% 7.01/4.95 ![VarCurr: $i] : ((~v121(VarCurr)) | ((~v130(VarCurr, bitIndex2)) & v130(VarCurr, bitIndex1) & v130(VarCurr, bitIndex0)))),
% 7.01/4.95 inference(skolemize,[status(sab)],[4052])).
% 7.01/4.95 tff(4054,plain,
% 7.01/4.95 (![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))),
% 7.01/4.95 inference(modus_ponens,[status(thm)],[4053, 4046])).
% 7.01/4.95 tff(4055,plain,
% 7.01/4.95 (![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))),
% 7.01/4.95 inference(modus_ponens,[status(thm)],[4054, 4044])).
% 7.01/4.95 tff(4056,plain,
% 7.01/4.95 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB9)) | (~(v130(constB9, bitIndex2) | (~v130(constB9, bitIndex1)) | (~v130(constB9, bitIndex0)))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | (~v121(constB9)) | (~(v130(constB9, bitIndex2) | (~v130(constB9, bitIndex1)) | (~v130(constB9, bitIndex0)))))),
% 7.01/4.95 inference(rewrite,[status(thm)],[])).
% 7.01/4.95 tff(4057,plain,
% 7.01/4.95 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB9)) | (~(v130(constB9, bitIndex2) | (~v130(constB9, bitIndex1)) | (~v130(constB9, bitIndex0)))))),
% 7.01/4.95 inference(quant_inst,[status(thm)],[])).
% 7.01/4.95 tff(4058,plain,
% 7.01/4.95 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | (~v121(constB9)) | (~(v130(constB9, bitIndex2) | (~v130(constB9, bitIndex1)) | (~v130(constB9, bitIndex0))))),
% 7.01/4.95 inference(modus_ponens,[status(thm)],[4057, 4056])).
% 7.01/4.95 tff(4059,plain,
% 7.01/4.95 ((~v121(constB9)) | (~(v130(constB9, bitIndex2) | (~v130(constB9, bitIndex1)) | (~v130(constB9, bitIndex0))))),
% 7.01/4.95 inference(unit_resolution,[status(thm)],[4058, 4055])).
% 7.01/4.95 tff(4060,plain,
% 7.01/4.95 (~(v130(constB9, bitIndex2) | (~v130(constB9, bitIndex1)) | (~v130(constB9, bitIndex0)))),
% 7.01/4.95 inference(unit_resolution,[status(thm)],[4059, 4042])).
% 7.01/4.95 tff(4061,plain,
% 7.01/4.95 ((v130(constB9, bitIndex2) | (~v130(constB9, bitIndex1)) | (~v130(constB9, bitIndex0))) | (~v130(constB9, bitIndex2))),
% 7.01/4.95 inference(tautology,[status(thm)],[])).
% 7.01/4.95 tff(4062,plain,
% 7.01/4.95 (~v130(constB9, bitIndex2)),
% 7.01/4.95 inference(unit_resolution,[status(thm)],[4061, 4060])).
% 7.01/4.95 tff(4063,plain,
% 7.01/4.95 (((~v127(constB9, bitIndex2)) <=> v130(constB9, bitIndex2)) | (~v127(constB9, bitIndex2)) | v130(constB9, bitIndex2)),
% 7.01/4.95 inference(tautology,[status(thm)],[])).
% 7.01/4.95 tff(4064,plain,
% 7.01/4.95 (~v127(constB9, bitIndex2)),
% 7.01/4.95 inference(unit_resolution,[status(thm)],[4063, 4062, 2878])).
% 7.01/4.95 tff(4065,plain,
% 7.01/4.95 (((~v129(constB10, bitIndex2)) <=> v127(constB9, bitIndex2)) | (~v129(constB10, bitIndex2)) | v127(constB9, bitIndex2)),
% 7.01/4.95 inference(tautology,[status(thm)],[])).
% 7.01/4.95 tff(4066,plain,
% 7.01/4.95 (~v129(constB10, bitIndex2)),
% 7.01/4.95 inference(unit_resolution,[status(thm)],[4065, 4064, 2864])).
% 7.01/4.95 tff(4067,plain,
% 7.01/4.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB9, constB10)) | (v100(constB10) <=> (~((~v101(constB10)) | (~v110(constB10))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB9, constB10)) | (v100(constB10) <=> (~((~v101(constB10)) | (~v110(constB10))))))),
% 7.01/4.95 inference(rewrite,[status(thm)],[])).
% 7.01/4.95 tff(4068,plain,
% 7.01/4.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB9, constB10)) | (v100(constB10) <=> (~((~v101(constB10)) | (~v110(constB10))))))),
% 7.01/4.95 inference(quant_inst,[status(thm)],[])).
% 7.01/4.95 tff(4069,plain,
% 7.01/4.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB9, constB10)) | (v100(constB10) <=> (~((~v101(constB10)) | (~v110(constB10)))))),
% 7.01/4.95 inference(modus_ponens,[status(thm)],[4068, 4067])).
% 7.01/4.95 tff(4070,plain,
% 7.01/4.95 (v100(constB10) <=> (~((~v101(constB10)) | (~v110(constB10))))),
% 7.01/4.95 inference(unit_resolution,[status(thm)],[4069, 2858, 445])).
% 7.01/4.95 tff(4071,plain,
% 7.01/4.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB9, constB10)) | (v101(constB10) <=> (~((~v1(constB10)) | (~v102(constB10))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB9, constB10)) | (v101(constB10) <=> (~((~v1(constB10)) | (~v102(constB10))))))),
% 7.01/4.95 inference(rewrite,[status(thm)],[])).
% 7.01/4.95 tff(4072,plain,
% 7.01/4.95 (((~nextState(constB9, constB10)) | (v101(constB10) <=> (~((~v102(constB10)) | (~v1(constB10)))))) <=> ((~nextState(constB9, constB10)) | (v101(constB10) <=> (~((~v1(constB10)) | (~v102(constB10))))))),
% 7.01/4.95 inference(rewrite,[status(thm)],[])).
% 7.01/4.95 tff(4073,plain,
% 7.01/4.95 (((~![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) <=> (~((~v1(constB10)) | (~v102(constB10)))))))),
% 7.01/4.95 inference(monotonicity,[status(thm)],[4072])).
% 7.01/4.95 tff(4074,plain,
% 7.01/4.95 (((~![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) <=> (~((~v1(constB10)) | (~v102(constB10))))))),
% 7.01/4.95 inference(transitivity,[status(thm)],[4073, 4071])).
% 7.01/4.95 tff(4075,plain,
% 7.01/4.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB9, constB10)) | (v101(constB10) <=> (~((~v102(constB10)) | (~v1(constB10))))))),
% 7.01/4.95 inference(quant_inst,[status(thm)],[])).
% 7.01/4.95 tff(4076,plain,
% 7.01/4.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB9, constB10)) | (v101(constB10) <=> (~((~v1(constB10)) | (~v102(constB10)))))),
% 7.01/4.95 inference(modus_ponens,[status(thm)],[4075, 4074])).
% 7.01/4.95 tff(4077,plain,
% 7.01/4.95 (v101(constB10) <=> (~((~v1(constB10)) | (~v102(constB10))))),
% 7.01/4.95 inference(unit_resolution,[status(thm)],[4076, 2858, 465])).
% 7.01/4.95 tff(4078,plain,
% 7.01/4.95 (((~![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)))),
% 7.01/4.95 inference(rewrite,[status(thm)],[])).
% 7.01/4.95 tff(4079,plain,
% 7.01/4.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB9, constB10)) | ((~v102(constB10)) <=> v104(constB10)))),
% 7.01/4.95 inference(quant_inst,[status(thm)],[])).
% 7.01/4.95 tff(4080,plain,
% 7.01/4.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB9, constB10)) | ((~v102(constB10)) <=> v104(constB10))),
% 7.01/4.95 inference(modus_ponens,[status(thm)],[4079, 4078])).
% 7.01/4.95 tff(4081,plain,
% 7.01/4.95 ((~v102(constB10)) <=> v104(constB10)),
% 7.01/4.95 inference(unit_resolution,[status(thm)],[4080, 2858, 3244])).
% 7.01/4.95 tff(4082,plain,
% 7.01/4.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB9, constB10)) | (v104(constB10) <=> v1(constB9)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB9, constB10)) | (v104(constB10) <=> v1(constB9)))),
% 7.01/4.95 inference(rewrite,[status(thm)],[])).
% 7.01/4.95 tff(4083,plain,
% 7.01/4.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB9, constB10)) | (v104(constB10) <=> v1(constB9)))),
% 7.01/4.95 inference(quant_inst,[status(thm)],[])).
% 7.01/4.95 tff(4084,plain,
% 7.01/4.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB9, constB10)) | (v104(constB10) <=> v1(constB9))),
% 7.01/4.95 inference(modus_ponens,[status(thm)],[4083, 4082])).
% 7.01/4.95 tff(4085,plain,
% 7.01/4.95 (v104(constB10) <=> v1(constB9)),
% 7.01/4.95 inference(unit_resolution,[status(thm)],[4084, 2858, 3258])).
% 7.01/4.95 tff(4086,plain,
% 7.01/4.95 ((~(v104(constB10) <=> v1(constB9))) | (~v104(constB10)) | v1(constB9)),
% 7.01/4.95 inference(tautology,[status(thm)],[])).
% 7.01/4.95 tff(4087,plain,
% 7.01/4.95 ((~(v104(constB10) <=> v1(constB9))) | (~v104(constB10))),
% 7.01/4.95 inference(unit_resolution,[status(thm)],[4086, 2902])).
% 7.01/4.95 tff(4088,plain,
% 7.01/4.95 (~v104(constB10)),
% 7.01/4.95 inference(unit_resolution,[status(thm)],[4087, 4085])).
% 7.01/4.95 tff(4089,plain,
% 7.01/4.95 ((~((~v102(constB10)) <=> v104(constB10))) | v102(constB10) | v104(constB10)),
% 7.01/4.95 inference(tautology,[status(thm)],[])).
% 7.01/4.95 tff(4090,plain,
% 7.01/4.95 (v102(constB10)),
% 7.01/4.95 inference(unit_resolution,[status(thm)],[4089, 4088, 4081])).
% 7.01/4.95 tff(4091,plain,
% 7.01/4.95 (v1(constB10) <=> v1(constB10)),
% 7.01/4.95 inference(rewrite,[status(thm)],[])).
% 7.01/4.95 tff(4092,axiom,(v1(constB10)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_10')).
% 7.01/4.95 tff(4093,plain,
% 7.01/4.95 (v1(constB10)),
% 7.01/4.95 inference(modus_ponens,[status(thm)],[4092, 4091])).
% 7.01/4.95 tff(4094,plain,
% 7.01/4.95 ((~((~v1(constB10)) | (~v102(constB10)))) | (~v1(constB10)) | (~v102(constB10))),
% 7.01/4.95 inference(tautology,[status(thm)],[])).
% 7.01/4.95 tff(4095,plain,
% 7.01/4.95 ((~((~v1(constB10)) | (~v102(constB10)))) | (~v102(constB10))),
% 7.01/4.95 inference(unit_resolution,[status(thm)],[4094, 4093])).
% 7.01/4.95 tff(4096,plain,
% 7.01/4.95 (~((~v1(constB10)) | (~v102(constB10)))),
% 7.01/4.95 inference(unit_resolution,[status(thm)],[4095, 4090])).
% 7.01/4.95 tff(4097,plain,
% 7.01/4.95 ((~(v101(constB10) <=> (~((~v1(constB10)) | (~v102(constB10)))))) | v101(constB10) | ((~v1(constB10)) | (~v102(constB10)))),
% 7.01/4.95 inference(tautology,[status(thm)],[])).
% 7.01/4.95 tff(4098,plain,
% 7.01/4.95 (v101(constB10)),
% 7.01/4.95 inference(unit_resolution,[status(thm)],[4097, 4096, 4077])).
% 7.01/4.95 tff(4099,plain,
% 7.01/4.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB9, constB10)) | (v110(constB10) <=> v108(constB9)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB9, constB10)) | (v110(constB10) <=> v108(constB9)))),
% 7.01/4.95 inference(rewrite,[status(thm)],[])).
% 7.01/4.95 tff(4100,plain,
% 7.01/4.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB9, constB10)) | (v110(constB10) <=> v108(constB9)))),
% 7.01/4.95 inference(quant_inst,[status(thm)],[])).
% 7.01/4.95 tff(4101,plain,
% 7.01/4.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB9, constB10)) | (v110(constB10) <=> v108(constB9))),
% 7.01/4.95 inference(modus_ponens,[status(thm)],[4100, 4099])).
% 7.01/4.95 tff(4102,plain,
% 7.01/4.95 (v110(constB10) <=> v108(constB9)),
% 7.01/4.95 inference(unit_resolution,[status(thm)],[4101, 2858, 3285])).
% 7.01/4.95 tff(4103,plain,
% 7.01/4.95 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB9) <=> (v111(constB9) | v112(constB9)))),
% 7.01/4.95 inference(quant_inst,[status(thm)],[])).
% 7.01/4.95 tff(4104,plain,
% 7.01/4.95 (v108(constB9) <=> (v111(constB9) | v112(constB9))),
% 7.01/4.95 inference(unit_resolution,[status(thm)],[4103, 3296])).
% 7.01/4.95 tff(4105,plain,
% 7.01/4.95 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB9) <=> (~((~v113(constB9)) | (~v126(constB9)))))),
% 7.01/4.95 inference(quant_inst,[status(thm)],[])).
% 7.01/4.95 tff(4106,plain,
% 7.01/4.95 (v112(constB9) <=> (~((~v113(constB9)) | (~v126(constB9))))),
% 7.01/4.95 inference(unit_resolution,[status(thm)],[4105, 3308])).
% 7.01/4.95 tff(4107,plain,
% 7.01/4.95 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB9) <=> (v114(constB9) | v125(constB9)))),
% 7.01/4.95 inference(quant_inst,[status(thm)],[])).
% 7.01/4.95 tff(4108,plain,
% 7.01/4.95 (v113(constB9) <=> (v114(constB9) | v125(constB9))),
% 7.01/4.95 inference(unit_resolution,[status(thm)],[4107, 3317])).
% 7.01/4.95 tff(4109,plain,
% 7.01/4.95 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB9) <=> (v115(constB9) | v124(constB9)))),
% 7.01/4.95 inference(quant_inst,[status(thm)],[])).
% 7.01/4.95 tff(4110,plain,
% 7.01/4.95 (v114(constB9) <=> (v115(constB9) | v124(constB9))),
% 7.01/4.95 inference(unit_resolution,[status(thm)],[4109, 3326])).
% 7.01/4.95 tff(4111,plain,
% 7.01/4.95 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB9) <=> (v116(constB9) | v123(constB9)))),
% 7.01/4.95 inference(quant_inst,[status(thm)],[])).
% 7.01/4.95 tff(4112,plain,
% 7.01/4.95 (v115(constB9) <=> (v116(constB9) | v123(constB9))),
% 7.01/4.95 inference(unit_resolution,[status(thm)],[4111, 3335])).
% 7.01/4.95 tff(4113,plain,
% 7.01/4.95 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB9) <=> (v117(constB9) | v122(constB9)))),
% 7.01/4.95 inference(quant_inst,[status(thm)],[])).
% 7.01/4.95 tff(4114,plain,
% 7.01/4.95 (v116(constB9) <=> (v117(constB9) | v122(constB9))),
% 7.01/4.95 inference(unit_resolution,[status(thm)],[4113, 3344])).
% 7.01/4.95 tff(4115,plain,
% 7.01/4.95 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB9) <=> (v118(constB9) | v121(constB9)))),
% 7.01/4.96 inference(quant_inst,[status(thm)],[])).
% 7.01/4.96 tff(4116,plain,
% 7.01/4.96 (v117(constB9) <=> (v118(constB9) | v121(constB9))),
% 7.01/4.96 inference(unit_resolution,[status(thm)],[4115, 3353])).
% 7.01/4.96 tff(4117,plain,
% 7.01/4.96 ((v118(constB9) | v121(constB9)) | (~v121(constB9))),
% 7.01/4.96 inference(tautology,[status(thm)],[])).
% 7.01/4.96 tff(4118,plain,
% 7.01/4.96 (v118(constB9) | v121(constB9)),
% 7.01/4.96 inference(unit_resolution,[status(thm)],[4117, 4042])).
% 7.01/4.96 tff(4119,plain,
% 7.01/4.96 ((~(v117(constB9) <=> (v118(constB9) | v121(constB9)))) | v117(constB9) | (~(v118(constB9) | v121(constB9)))),
% 7.01/4.96 inference(tautology,[status(thm)],[])).
% 7.01/4.96 tff(4120,plain,
% 7.01/4.96 (v117(constB9)),
% 7.01/4.96 inference(unit_resolution,[status(thm)],[4119, 4118, 4116])).
% 7.01/4.96 tff(4121,plain,
% 7.01/4.96 ((v117(constB9) | v122(constB9)) | (~v117(constB9))),
% 7.01/4.96 inference(tautology,[status(thm)],[])).
% 7.01/4.96 tff(4122,plain,
% 7.01/4.96 (v117(constB9) | v122(constB9)),
% 7.01/4.96 inference(unit_resolution,[status(thm)],[4121, 4120])).
% 7.01/4.96 tff(4123,plain,
% 7.01/4.96 ((~(v116(constB9) <=> (v117(constB9) | v122(constB9)))) | v116(constB9) | (~(v117(constB9) | v122(constB9)))),
% 7.01/4.96 inference(tautology,[status(thm)],[])).
% 7.01/4.96 tff(4124,plain,
% 7.01/4.96 (v116(constB9)),
% 7.01/4.96 inference(unit_resolution,[status(thm)],[4123, 4122, 4114])).
% 7.01/4.96 tff(4125,plain,
% 7.01/4.96 ((v116(constB9) | v123(constB9)) | (~v116(constB9))),
% 7.01/4.96 inference(tautology,[status(thm)],[])).
% 7.01/4.96 tff(4126,plain,
% 7.01/4.96 (v116(constB9) | v123(constB9)),
% 7.01/4.96 inference(unit_resolution,[status(thm)],[4125, 4124])).
% 7.01/4.96 tff(4127,plain,
% 7.01/4.96 ((~(v115(constB9) <=> (v116(constB9) | v123(constB9)))) | v115(constB9) | (~(v116(constB9) | v123(constB9)))),
% 7.01/4.96 inference(tautology,[status(thm)],[])).
% 7.01/4.96 tff(4128,plain,
% 7.01/4.96 (v115(constB9)),
% 7.01/4.96 inference(unit_resolution,[status(thm)],[4127, 4126, 4112])).
% 7.01/4.96 tff(4129,plain,
% 7.01/4.96 ((v115(constB9) | v124(constB9)) | (~v115(constB9))),
% 7.01/4.96 inference(tautology,[status(thm)],[])).
% 7.01/4.96 tff(4130,plain,
% 7.01/4.96 (v115(constB9) | v124(constB9)),
% 7.01/4.96 inference(unit_resolution,[status(thm)],[4129, 4128])).
% 7.01/4.96 tff(4131,plain,
% 7.01/4.96 ((~(v114(constB9) <=> (v115(constB9) | v124(constB9)))) | v114(constB9) | (~(v115(constB9) | v124(constB9)))),
% 7.01/4.96 inference(tautology,[status(thm)],[])).
% 7.01/4.96 tff(4132,plain,
% 7.01/4.96 (v114(constB9)),
% 7.01/4.96 inference(unit_resolution,[status(thm)],[4131, 4130, 4110])).
% 7.01/4.96 tff(4133,plain,
% 7.01/4.96 ((v114(constB9) | v125(constB9)) | (~v114(constB9))),
% 7.01/4.96 inference(tautology,[status(thm)],[])).
% 7.01/4.96 tff(4134,plain,
% 7.01/4.96 (v114(constB9) | v125(constB9)),
% 7.01/4.96 inference(unit_resolution,[status(thm)],[4133, 4132])).
% 7.01/4.96 tff(4135,plain,
% 7.01/4.96 ((~(v113(constB9) <=> (v114(constB9) | v125(constB9)))) | v113(constB9) | (~(v114(constB9) | v125(constB9)))),
% 7.01/4.96 inference(tautology,[status(thm)],[])).
% 7.01/4.96 tff(4136,plain,
% 7.01/4.96 (v113(constB9)),
% 7.01/4.96 inference(unit_resolution,[status(thm)],[4135, 4134, 4108])).
% 7.01/4.96 tff(4137,plain,
% 7.01/4.96 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB9)) <=> v111(constB9))),
% 7.01/4.96 inference(quant_inst,[status(thm)],[])).
% 7.01/4.96 tff(4138,plain,
% 7.01/4.96 ((~v126(constB9)) <=> v111(constB9)),
% 7.01/4.96 inference(unit_resolution,[status(thm)],[4137, 3396])).
% 7.01/4.96 tff(4139,plain,
% 7.01/4.96 ((~((~v126(constB9)) <=> v111(constB9))) | v126(constB9) | v111(constB9)),
% 7.01/4.96 inference(tautology,[status(thm)],[])).
% 7.01/4.96 tff(4140,plain,
% 7.01/4.96 ((~((~v126(constB9)) <=> v111(constB9))) | v126(constB9)),
% 7.01/4.96 inference(unit_resolution,[status(thm)],[4139, 2871])).
% 7.01/4.96 tff(4141,plain,
% 7.01/4.96 (v126(constB9)),
% 7.01/4.96 inference(unit_resolution,[status(thm)],[4140, 4138])).
% 7.01/4.96 tff(4142,plain,
% 7.01/4.96 ((~((~v113(constB9)) | (~v126(constB9)))) | (~v113(constB9)) | (~v126(constB9))),
% 7.01/4.96 inference(tautology,[status(thm)],[])).
% 7.01/4.96 tff(4143,plain,
% 7.01/4.96 ((~((~v113(constB9)) | (~v126(constB9)))) | (~v113(constB9))),
% 7.01/4.96 inference(unit_resolution,[status(thm)],[4142, 4141])).
% 7.01/4.96 tff(4144,plain,
% 7.01/4.96 (~((~v113(constB9)) | (~v126(constB9)))),
% 7.01/4.96 inference(unit_resolution,[status(thm)],[4143, 4136])).
% 7.01/4.96 tff(4145,plain,
% 7.01/4.96 ((~(v112(constB9) <=> (~((~v113(constB9)) | (~v126(constB9)))))) | v112(constB9) | ((~v113(constB9)) | (~v126(constB9)))),
% 7.01/4.96 inference(tautology,[status(thm)],[])).
% 7.01/4.96 tff(4146,plain,
% 7.01/4.96 (v112(constB9)),
% 7.01/4.96 inference(unit_resolution,[status(thm)],[4145, 4144, 4106])).
% 7.01/4.96 tff(4147,plain,
% 7.01/4.96 ((v111(constB9) | v112(constB9)) | (~v112(constB9))),
% 7.01/4.96 inference(tautology,[status(thm)],[])).
% 7.01/4.96 tff(4148,plain,
% 7.01/4.96 (v111(constB9) | v112(constB9)),
% 7.01/4.96 inference(unit_resolution,[status(thm)],[4147, 4146])).
% 7.01/4.96 tff(4149,plain,
% 7.01/4.96 ((~(v108(constB9) <=> (v111(constB9) | v112(constB9)))) | v108(constB9) | (~(v111(constB9) | v112(constB9)))),
% 7.01/4.96 inference(tautology,[status(thm)],[])).
% 7.01/4.96 tff(4150,plain,
% 7.01/4.96 (v108(constB9)),
% 7.01/4.96 inference(unit_resolution,[status(thm)],[4149, 4148, 4104])).
% 7.01/4.96 tff(4151,plain,
% 7.01/4.96 ((~(v110(constB10) <=> v108(constB9))) | v110(constB10) | (~v108(constB9))),
% 7.01/4.96 inference(tautology,[status(thm)],[])).
% 7.01/4.96 tff(4152,plain,
% 7.01/4.96 (v110(constB10)),
% 7.01/4.96 inference(unit_resolution,[status(thm)],[4151, 4150, 4102])).
% 7.01/4.96 tff(4153,plain,
% 7.01/4.96 ((~((~v101(constB10)) | (~v110(constB10)))) | (~v101(constB10)) | (~v110(constB10))),
% 7.01/4.96 inference(tautology,[status(thm)],[])).
% 7.01/4.96 tff(4154,plain,
% 7.01/4.96 (~((~v101(constB10)) | (~v110(constB10)))),
% 7.01/4.96 inference(unit_resolution,[status(thm)],[4153, 4152, 4098])).
% 7.01/4.96 tff(4155,plain,
% 7.01/4.96 ((~(v100(constB10) <=> (~((~v101(constB10)) | (~v110(constB10)))))) | v100(constB10) | ((~v101(constB10)) | (~v110(constB10)))),
% 7.01/4.96 inference(tautology,[status(thm)],[])).
% 7.01/4.96 tff(4156,plain,
% 7.01/4.96 (v100(constB10)),
% 7.01/4.96 inference(unit_resolution,[status(thm)],[4155, 4154, 4070])).
% 7.01/4.96 tff(4157,plain,
% 7.01/4.96 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB10)) | (~(((~v90(constB10, bitIndex0)) <=> v129(constB10, bitIndex0)) | ((~v90(constB10, bitIndex2)) <=> v129(constB10, bitIndex2)) | ((~v90(constB10, bitIndex1)) <=> v129(constB10, bitIndex1)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB10)) | (~(((~v90(constB10, bitIndex0)) <=> v129(constB10, bitIndex0)) | ((~v90(constB10, bitIndex2)) <=> v129(constB10, bitIndex2)) | ((~v90(constB10, bitIndex1)) <=> v129(constB10, bitIndex1)))))),
% 7.01/4.96 inference(rewrite,[status(thm)],[])).
% 7.01/4.96 tff(4158,plain,
% 7.01/4.96 (((~v100(constB10)) | (~(((~v90(constB10, bitIndex2)) <=> v129(constB10, bitIndex2)) | ((~v90(constB10, bitIndex1)) <=> v129(constB10, bitIndex1)) | ((~v90(constB10, bitIndex0)) <=> v129(constB10, bitIndex0))))) <=> ((~v100(constB10)) | (~(((~v90(constB10, bitIndex0)) <=> v129(constB10, bitIndex0)) | ((~v90(constB10, bitIndex2)) <=> v129(constB10, bitIndex2)) | ((~v90(constB10, bitIndex1)) <=> v129(constB10, bitIndex1)))))),
% 7.01/4.96 inference(rewrite,[status(thm)],[])).
% 7.01/4.96 tff(4159,plain,
% 7.01/4.96 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB10)) | (~(((~v90(constB10, bitIndex2)) <=> v129(constB10, bitIndex2)) | ((~v90(constB10, bitIndex1)) <=> v129(constB10, bitIndex1)) | ((~v90(constB10, bitIndex0)) <=> v129(constB10, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB10)) | (~(((~v90(constB10, bitIndex0)) <=> v129(constB10, bitIndex0)) | ((~v90(constB10, bitIndex2)) <=> v129(constB10, bitIndex2)) | ((~v90(constB10, bitIndex1)) <=> v129(constB10, bitIndex1))))))),
% 7.01/4.96 inference(monotonicity,[status(thm)],[4158])).
% 7.01/4.96 tff(4160,plain,
% 7.01/4.96 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB10)) | (~(((~v90(constB10, bitIndex2)) <=> v129(constB10, bitIndex2)) | ((~v90(constB10, bitIndex1)) <=> v129(constB10, bitIndex1)) | ((~v90(constB10, bitIndex0)) <=> v129(constB10, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB10)) | (~(((~v90(constB10, bitIndex0)) <=> v129(constB10, bitIndex0)) | ((~v90(constB10, bitIndex2)) <=> v129(constB10, bitIndex2)) | ((~v90(constB10, bitIndex1)) <=> v129(constB10, bitIndex1)))))),
% 7.01/4.96 inference(transitivity,[status(thm)],[4159, 4157])).
% 7.01/4.96 tff(4161,plain,
% 7.01/4.96 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB10)) | (~(((~v90(constB10, bitIndex2)) <=> v129(constB10, bitIndex2)) | ((~v90(constB10, bitIndex1)) <=> v129(constB10, bitIndex1)) | ((~v90(constB10, bitIndex0)) <=> v129(constB10, bitIndex0)))))),
% 7.01/4.96 inference(quant_inst,[status(thm)],[])).
% 7.01/4.96 tff(4162,plain,
% 7.01/4.96 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB10)) | (~(((~v90(constB10, bitIndex0)) <=> v129(constB10, bitIndex0)) | ((~v90(constB10, bitIndex2)) <=> v129(constB10, bitIndex2)) | ((~v90(constB10, bitIndex1)) <=> v129(constB10, bitIndex1))))),
% 7.01/4.96 inference(modus_ponens,[status(thm)],[4161, 4160])).
% 7.01/4.96 tff(4163,plain,
% 7.01/4.96 ((~v100(constB10)) | (~(((~v90(constB10, bitIndex0)) <=> v129(constB10, bitIndex0)) | ((~v90(constB10, bitIndex2)) <=> v129(constB10, bitIndex2)) | ((~v90(constB10, bitIndex1)) <=> v129(constB10, bitIndex1))))),
% 7.01/4.96 inference(unit_resolution,[status(thm)],[4162, 3429])).
% 7.01/4.96 tff(4164,plain,
% 7.01/4.96 (~(((~v90(constB10, bitIndex0)) <=> v129(constB10, bitIndex0)) | ((~v90(constB10, bitIndex2)) <=> v129(constB10, bitIndex2)) | ((~v90(constB10, bitIndex1)) <=> v129(constB10, bitIndex1)))),
% 7.01/4.96 inference(unit_resolution,[status(thm)],[4163, 4156])).
% 7.01/4.96 tff(4165,plain,
% 7.01/4.96 ((((~v90(constB10, bitIndex0)) <=> v129(constB10, bitIndex0)) | ((~v90(constB10, bitIndex2)) <=> v129(constB10, bitIndex2)) | ((~v90(constB10, bitIndex1)) <=> v129(constB10, bitIndex1))) | (~((~v90(constB10, bitIndex2)) <=> v129(constB10, bitIndex2)))),
% 7.01/4.96 inference(tautology,[status(thm)],[])).
% 7.01/4.96 tff(4166,plain,
% 7.01/4.96 (~((~v90(constB10, bitIndex2)) <=> v129(constB10, bitIndex2))),
% 7.01/4.96 inference(unit_resolution,[status(thm)],[4165, 4164])).
% 7.01/4.96 tff(4167,plain,
% 7.01/4.96 (((~v90(constB10, bitIndex2)) <=> v129(constB10, bitIndex2)) | (~v90(constB10, bitIndex2)) | v129(constB10, bitIndex2)),
% 7.01/4.96 inference(tautology,[status(thm)],[])).
% 7.01/4.96 tff(4168,plain,
% 7.01/4.96 (~v90(constB10, bitIndex2)),
% 7.01/4.96 inference(unit_resolution,[status(thm)],[4167, 4166, 4066])).
% 7.01/4.96 tff(4169,plain,
% 7.01/4.96 (((~v90(constB11, bitIndex2)) <=> v90(constB10, bitIndex2)) | (~v90(constB11, bitIndex2)) | v90(constB10, bitIndex2)),
% 7.01/4.96 inference(tautology,[status(thm)],[])).
% 7.01/4.96 tff(4170,plain,
% 7.01/4.96 (~v90(constB11, bitIndex2)),
% 7.01/4.96 inference(unit_resolution,[status(thm)],[4169, 4168, 2855])).
% 7.01/4.96 tff(4171,plain,
% 7.01/4.96 ((((~v90(constB11, bitIndex1)) <=> v90(constB10, bitIndex1)) | ((~v90(constB11, bitIndex2)) <=> v90(constB10, bitIndex2)) | ((~v90(constB11, bitIndex0)) <=> v90(constB10, bitIndex0))) | (~((~v90(constB11, bitIndex0)) <=> v90(constB10, bitIndex0)))),
% 7.01/4.96 inference(tautology,[status(thm)],[])).
% 7.01/4.96 tff(4172,plain,
% 7.01/4.96 (~((~v90(constB11, bitIndex0)) <=> v90(constB10, bitIndex0))),
% 7.01/4.96 inference(unit_resolution,[status(thm)],[4171, 2853])).
% 7.01/4.96 tff(4173,plain,
% 7.01/4.96 ((((~v129(constB10, bitIndex2)) <=> v127(constB9, bitIndex2)) | ((~v129(constB10, bitIndex1)) <=> v127(constB9, bitIndex1)) | ((~v129(constB10, bitIndex0)) <=> v127(constB9, bitIndex0))) | (~((~v129(constB10, bitIndex0)) <=> v127(constB9, bitIndex0)))),
% 7.01/4.96 inference(tautology,[status(thm)],[])).
% 7.01/4.96 tff(4174,plain,
% 7.01/4.96 (~((~v129(constB10, bitIndex0)) <=> v127(constB9, bitIndex0))),
% 7.01/4.96 inference(unit_resolution,[status(thm)],[4173, 2862])).
% 7.01/4.96 tff(4175,plain,
% 7.01/4.96 ((((~v127(constB9, bitIndex2)) <=> v130(constB9, bitIndex2)) | ((~v127(constB9, bitIndex1)) <=> v130(constB9, bitIndex1)) | ((~v127(constB9, bitIndex0)) <=> v130(constB9, bitIndex0))) | (~((~v127(constB9, bitIndex0)) <=> v130(constB9, bitIndex0)))),
% 7.01/4.96 inference(tautology,[status(thm)],[])).
% 7.01/4.96 tff(4176,plain,
% 7.01/4.96 (~((~v127(constB9, bitIndex0)) <=> v130(constB9, bitIndex0))),
% 7.01/4.96 inference(unit_resolution,[status(thm)],[4175, 2876])).
% 7.01/4.96 tff(4177,plain,
% 7.01/4.96 ((v130(constB9, bitIndex2) | (~v130(constB9, bitIndex1)) | (~v130(constB9, bitIndex0))) | v130(constB9, bitIndex0)),
% 7.01/4.96 inference(tautology,[status(thm)],[])).
% 7.01/4.96 tff(4178,plain,
% 7.01/4.96 (v130(constB9, bitIndex0)),
% 7.01/4.96 inference(unit_resolution,[status(thm)],[4177, 4060])).
% 7.01/4.96 tff(4179,plain,
% 7.01/4.96 (((~v127(constB9, bitIndex0)) <=> v130(constB9, bitIndex0)) | v127(constB9, bitIndex0) | (~v130(constB9, bitIndex0))),
% 7.01/4.96 inference(tautology,[status(thm)],[])).
% 7.01/4.96 tff(4180,plain,
% 7.01/4.96 (v127(constB9, bitIndex0)),
% 7.01/4.96 inference(unit_resolution,[status(thm)],[4179, 4178, 4176])).
% 7.01/4.96 tff(4181,plain,
% 7.01/4.96 (((~v129(constB10, bitIndex0)) <=> v127(constB9, bitIndex0)) | v129(constB10, bitIndex0) | (~v127(constB9, bitIndex0))),
% 7.01/4.96 inference(tautology,[status(thm)],[])).
% 7.01/4.96 tff(4182,plain,
% 7.01/4.96 (v129(constB10, bitIndex0)),
% 7.01/4.96 inference(unit_resolution,[status(thm)],[4181, 4180, 4174])).
% 7.01/4.96 tff(4183,plain,
% 7.01/4.96 ((((~v90(constB10, bitIndex0)) <=> v129(constB10, bitIndex0)) | ((~v90(constB10, bitIndex2)) <=> v129(constB10, bitIndex2)) | ((~v90(constB10, bitIndex1)) <=> v129(constB10, bitIndex1))) | (~((~v90(constB10, bitIndex0)) <=> v129(constB10, bitIndex0)))),
% 7.01/4.96 inference(tautology,[status(thm)],[])).
% 7.01/4.96 tff(4184,plain,
% 7.01/4.96 (~((~v90(constB10, bitIndex0)) <=> v129(constB10, bitIndex0))),
% 7.01/4.96 inference(unit_resolution,[status(thm)],[4183, 4164])).
% 7.01/4.96 tff(4185,plain,
% 7.01/4.96 (((~v90(constB10, bitIndex0)) <=> v129(constB10, bitIndex0)) | v90(constB10, bitIndex0) | (~v129(constB10, bitIndex0))),
% 7.01/4.96 inference(tautology,[status(thm)],[])).
% 7.01/4.96 tff(4186,plain,
% 7.01/4.96 (v90(constB10, bitIndex0)),
% 7.01/4.96 inference(unit_resolution,[status(thm)],[4185, 4184, 4182])).
% 7.01/4.96 tff(4187,plain,
% 7.01/4.96 (((~v90(constB11, bitIndex0)) <=> v90(constB10, bitIndex0)) | v90(constB11, bitIndex0) | (~v90(constB10, bitIndex0))),
% 7.01/4.96 inference(tautology,[status(thm)],[])).
% 7.01/4.96 tff(4188,plain,
% 7.01/4.96 (v90(constB11, bitIndex0)),
% 7.01/4.96 inference(unit_resolution,[status(thm)],[4187, 4186, 4172])).
% 7.01/4.96 tff(4189,plain,
% 7.01/4.96 ((((~v90(constB11, bitIndex1)) <=> v90(constB10, bitIndex1)) | ((~v90(constB11, bitIndex2)) <=> v90(constB10, bitIndex2)) | ((~v90(constB11, bitIndex0)) <=> v90(constB10, bitIndex0))) | (~((~v90(constB11, bitIndex1)) <=> v90(constB10, bitIndex1)))),
% 7.01/4.96 inference(tautology,[status(thm)],[])).
% 7.01/4.96 tff(4190,plain,
% 7.01/4.96 (~((~v90(constB11, bitIndex1)) <=> v90(constB10, bitIndex1))),
% 7.01/4.96 inference(unit_resolution,[status(thm)],[4189, 2853])).
% 7.01/4.96 tff(4191,plain,
% 7.01/4.96 ((((~v129(constB10, bitIndex2)) <=> v127(constB9, bitIndex2)) | ((~v129(constB10, bitIndex1)) <=> v127(constB9, bitIndex1)) | ((~v129(constB10, bitIndex0)) <=> v127(constB9, bitIndex0))) | (~((~v129(constB10, bitIndex1)) <=> v127(constB9, bitIndex1)))),
% 7.01/4.96 inference(tautology,[status(thm)],[])).
% 7.01/4.96 tff(4192,plain,
% 7.01/4.96 (~((~v129(constB10, bitIndex1)) <=> v127(constB9, bitIndex1))),
% 7.01/4.96 inference(unit_resolution,[status(thm)],[4191, 2862])).
% 7.01/4.96 tff(4193,plain,
% 7.01/4.96 ((((~v127(constB9, bitIndex2)) <=> v130(constB9, bitIndex2)) | ((~v127(constB9, bitIndex1)) <=> v130(constB9, bitIndex1)) | ((~v127(constB9, bitIndex0)) <=> v130(constB9, bitIndex0))) | (~((~v127(constB9, bitIndex1)) <=> v130(constB9, bitIndex1)))),
% 7.01/4.96 inference(tautology,[status(thm)],[])).
% 7.01/4.96 tff(4194,plain,
% 7.01/4.96 (~((~v127(constB9, bitIndex1)) <=> v130(constB9, bitIndex1))),
% 7.01/4.96 inference(unit_resolution,[status(thm)],[4193, 2876])).
% 7.01/4.96 tff(4195,plain,
% 7.01/4.96 ((v130(constB9, bitIndex2) | (~v130(constB9, bitIndex1)) | (~v130(constB9, bitIndex0))) | v130(constB9, bitIndex1)),
% 7.01/4.96 inference(tautology,[status(thm)],[])).
% 7.01/4.96 tff(4196,plain,
% 7.01/4.96 (v130(constB9, bitIndex1)),
% 7.01/4.96 inference(unit_resolution,[status(thm)],[4195, 4060])).
% 7.01/4.96 tff(4197,plain,
% 7.01/4.96 (((~v127(constB9, bitIndex1)) <=> v130(constB9, bitIndex1)) | v127(constB9, bitIndex1) | (~v130(constB9, bitIndex1))),
% 7.01/4.96 inference(tautology,[status(thm)],[])).
% 7.01/4.96 tff(4198,plain,
% 7.01/4.96 (v127(constB9, bitIndex1)),
% 7.01/4.96 inference(unit_resolution,[status(thm)],[4197, 4196, 4194])).
% 7.01/4.96 tff(4199,plain,
% 7.01/4.96 (((~v129(constB10, bitIndex1)) <=> v127(constB9, bitIndex1)) | v129(constB10, bitIndex1) | (~v127(constB9, bitIndex1))),
% 7.01/4.96 inference(tautology,[status(thm)],[])).
% 7.01/4.96 tff(4200,plain,
% 7.01/4.96 (v129(constB10, bitIndex1)),
% 7.01/4.96 inference(unit_resolution,[status(thm)],[4199, 4198, 4192])).
% 7.01/4.96 tff(4201,plain,
% 7.01/4.96 ((((~v90(constB10, bitIndex0)) <=> v129(constB10, bitIndex0)) | ((~v90(constB10, bitIndex2)) <=> v129(constB10, bitIndex2)) | ((~v90(constB10, bitIndex1)) <=> v129(constB10, bitIndex1))) | (~((~v90(constB10, bitIndex1)) <=> v129(constB10, bitIndex1)))),
% 7.01/4.96 inference(tautology,[status(thm)],[])).
% 7.01/4.96 tff(4202,plain,
% 7.01/4.96 (~((~v90(constB10, bitIndex1)) <=> v129(constB10, bitIndex1))),
% 7.01/4.96 inference(unit_resolution,[status(thm)],[4201, 4164])).
% 7.01/4.96 tff(4203,plain,
% 7.01/4.96 (((~v90(constB10, bitIndex1)) <=> v129(constB10, bitIndex1)) | v90(constB10, bitIndex1) | (~v129(constB10, bitIndex1))),
% 7.01/4.96 inference(tautology,[status(thm)],[])).
% 7.01/4.96 tff(4204,plain,
% 7.01/4.96 (v90(constB10, bitIndex1)),
% 7.01/4.96 inference(unit_resolution,[status(thm)],[4203, 4202, 4200])).
% 7.01/4.96 tff(4205,plain,
% 7.01/4.96 (((~v90(constB11, bitIndex1)) <=> v90(constB10, bitIndex1)) | v90(constB11, bitIndex1) | (~v90(constB10, bitIndex1))),
% 7.01/4.96 inference(tautology,[status(thm)],[])).
% 7.01/4.96 tff(4206,plain,
% 7.01/4.96 (v90(constB11, bitIndex1)),
% 7.01/4.96 inference(unit_resolution,[status(thm)],[4205, 4204, 4190])).
% 7.01/4.96 tff(4207,plain,
% 7.01/4.96 ((~(v90(constB11, bitIndex2) | (~v90(constB11, bitIndex1)) | (~v90(constB11, bitIndex0)))) | v90(constB11, bitIndex2) | (~v90(constB11, bitIndex1)) | (~v90(constB11, bitIndex0))),
% 7.01/4.96 inference(tautology,[status(thm)],[])).
% 7.01/4.96 tff(4208,plain,
% 7.01/4.96 (~(v90(constB11, bitIndex2) | (~v90(constB11, bitIndex1)) | (~v90(constB11, bitIndex0)))),
% 7.01/4.96 inference(unit_resolution,[status(thm)],[4207, 4206, 4188, 4170])).
% 7.01/4.96 tff(4209,plain,
% 7.01/4.96 ((~(v122(constB11) <=> (~(v90(constB11, bitIndex2) | (~v90(constB11, bitIndex1)) | (~v90(constB11, bitIndex0)))))) | v122(constB11) | (v90(constB11, bitIndex2) | (~v90(constB11, bitIndex1)) | (~v90(constB11, bitIndex0)))),
% 7.01/4.96 inference(tautology,[status(thm)],[])).
% 7.01/4.96 tff(4210,plain,
% 7.01/4.96 (v122(constB11)),
% 7.01/4.96 inference(unit_resolution,[status(thm)],[4209, 4208, 2819])).
% 7.01/4.96 tff(4211,plain,
% 7.01/4.96 (^[VarCurr: $i] : refl(((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2))))) <=> ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2))))))),
% 7.01/4.96 inference(bind,[status(th)],[])).
% 7.01/4.96 tff(4212,plain,
% 7.01/4.96 (![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2))))) <=> ![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))),
% 7.01/4.96 inference(quant_intro,[status(thm)],[4211])).
% 7.01/4.96 tff(4213,plain,
% 7.01/4.96 (^[VarCurr: $i] : rewrite(((~v122(VarCurr)) | (v130(VarCurr, bitIndex2) & (~v130(VarCurr, bitIndex1)) & (~v130(VarCurr, bitIndex0)))) <=> ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2))))))),
% 7.01/4.96 inference(bind,[status(th)],[])).
% 7.01/4.96 tff(4214,plain,
% 7.01/4.96 (![VarCurr: $i] : ((~v122(VarCurr)) | (v130(VarCurr, bitIndex2) & (~v130(VarCurr, bitIndex1)) & (~v130(VarCurr, bitIndex0)))) <=> ![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))),
% 7.01/4.96 inference(quant_intro,[status(thm)],[4213])).
% 7.01/4.96 tff(4215,plain,
% 7.01/4.96 (![VarCurr: $i] : ((~v122(VarCurr)) | (v130(VarCurr, bitIndex2) & (~v130(VarCurr, bitIndex1)) & (~v130(VarCurr, bitIndex0)))) <=> ![VarCurr: $i] : ((~v122(VarCurr)) | (v130(VarCurr, bitIndex2) & (~v130(VarCurr, bitIndex1)) & (~v130(VarCurr, bitIndex0))))),
% 7.01/4.96 inference(rewrite,[status(thm)],[])).
% 7.01/4.96 tff(4216,plain,
% 7.01/4.96 (^[VarCurr: $i] : trans(monotonicity(trans(monotonicity(rewrite(((v130(VarCurr, bitIndex2) <=> $true) & (v130(VarCurr, bitIndex1) <=> $false)) <=> (v130(VarCurr, bitIndex2) & (~v130(VarCurr, bitIndex1)))), rewrite((v130(VarCurr, bitIndex0) <=> $false) <=> (~v130(VarCurr, bitIndex0))), ((((v130(VarCurr, bitIndex2) <=> $true) & (v130(VarCurr, bitIndex1) <=> $false)) & (v130(VarCurr, bitIndex0) <=> $false)) <=> ((v130(VarCurr, bitIndex2) & (~v130(VarCurr, bitIndex1))) & (~v130(VarCurr, bitIndex0))))), rewrite(((v130(VarCurr, bitIndex2) & (~v130(VarCurr, bitIndex1))) & (~v130(VarCurr, bitIndex0))) <=> (v130(VarCurr, bitIndex2) & (~v130(VarCurr, bitIndex1)) & (~v130(VarCurr, bitIndex0)))), ((((v130(VarCurr, bitIndex2) <=> $true) & (v130(VarCurr, bitIndex1) <=> $false)) & (v130(VarCurr, bitIndex0) <=> $false)) <=> (v130(VarCurr, bitIndex2) & (~v130(VarCurr, bitIndex1)) & (~v130(VarCurr, bitIndex0))))), ((v122(VarCurr) => (((v130(VarCurr, bitIndex2) <=> $true) & (v130(VarCurr, bitIndex1) <=> $false)) & (v130(VarCurr, bitIndex0) <=> $false))) <=> (v122(VarCurr) => (v130(VarCurr, bitIndex2) & (~v130(VarCurr, bitIndex1)) & (~v130(VarCurr, bitIndex0)))))), rewrite((v122(VarCurr) => (v130(VarCurr, bitIndex2) & (~v130(VarCurr, bitIndex1)) & (~v130(VarCurr, bitIndex0)))) <=> ((~v122(VarCurr)) | (v130(VarCurr, bitIndex2) & (~v130(VarCurr, bitIndex1)) & (~v130(VarCurr, bitIndex0))))), ((v122(VarCurr) => (((v130(VarCurr, bitIndex2) <=> $true) & (v130(VarCurr, bitIndex1) <=> $false)) & (v130(VarCurr, bitIndex0) <=> $false))) <=> ((~v122(VarCurr)) | (v130(VarCurr, bitIndex2) & (~v130(VarCurr, bitIndex1)) & (~v130(VarCurr, bitIndex0))))))),
% 7.01/4.96 inference(bind,[status(th)],[])).
% 7.01/4.96 tff(4217,plain,
% 7.01/4.96 (![VarCurr: $i] : (v122(VarCurr) => (((v130(VarCurr, bitIndex2) <=> $true) & (v130(VarCurr, bitIndex1) <=> $false)) & (v130(VarCurr, bitIndex0) <=> $false))) <=> ![VarCurr: $i] : ((~v122(VarCurr)) | (v130(VarCurr, bitIndex2) & (~v130(VarCurr, bitIndex1)) & (~v130(VarCurr, bitIndex0))))),
% 7.01/4.96 inference(quant_intro,[status(thm)],[4216])).
% 7.01/4.96 tff(4218,axiom,(![VarCurr: $i] : (v122(VarCurr) => (((v130(VarCurr, bitIndex2) <=> $true) & (v130(VarCurr, bitIndex1) <=> $false)) & (v130(VarCurr, bitIndex0) <=> $false)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges3')).
% 7.01/4.96 tff(4219,plain,
% 7.01/4.96 (![VarCurr: $i] : ((~v122(VarCurr)) | (v130(VarCurr, bitIndex2) & (~v130(VarCurr, bitIndex1)) & (~v130(VarCurr, bitIndex0))))),
% 7.01/4.96 inference(modus_ponens,[status(thm)],[4218, 4217])).
% 7.01/4.96 tff(4220,plain,
% 7.01/4.96 (![VarCurr: $i] : ((~v122(VarCurr)) | (v130(VarCurr, bitIndex2) & (~v130(VarCurr, bitIndex1)) & (~v130(VarCurr, bitIndex0))))),
% 7.01/4.96 inference(modus_ponens,[status(thm)],[4219, 4215])).
% 7.01/4.96 tff(4221,plain,(
% 7.01/4.96 ![VarCurr: $i] : ((~v122(VarCurr)) | (v130(VarCurr, bitIndex2) & (~v130(VarCurr, bitIndex1)) & (~v130(VarCurr, bitIndex0))))),
% 7.01/4.96 inference(skolemize,[status(sab)],[4220])).
% 7.01/4.96 tff(4222,plain,
% 7.01/4.96 (![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))),
% 7.01/4.96 inference(modus_ponens,[status(thm)],[4221, 4214])).
% 7.01/4.96 tff(4223,plain,
% 7.01/4.96 (![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))),
% 7.01/4.96 inference(modus_ponens,[status(thm)],[4222, 4212])).
% 7.01/4.96 tff(4224,plain,
% 7.01/4.96 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB11)) | (~(v130(constB11, bitIndex1) | v130(constB11, bitIndex0) | (~v130(constB11, bitIndex2)))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | (~v122(constB11)) | (~(v130(constB11, bitIndex1) | v130(constB11, bitIndex0) | (~v130(constB11, bitIndex2)))))),
% 7.01/4.96 inference(rewrite,[status(thm)],[])).
% 7.01/4.96 tff(4225,plain,
% 7.01/4.96 (((~v122(constB11)) | (~(v130(constB11, bitIndex0) | v130(constB11, bitIndex1) | (~v130(constB11, bitIndex2))))) <=> ((~v122(constB11)) | (~(v130(constB11, bitIndex1) | v130(constB11, bitIndex0) | (~v130(constB11, bitIndex2)))))),
% 7.01/4.96 inference(rewrite,[status(thm)],[])).
% 7.01/4.96 tff(4226,plain,
% 7.01/4.96 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB11)) | (~(v130(constB11, bitIndex0) | v130(constB11, bitIndex1) | (~v130(constB11, bitIndex2)))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB11)) | (~(v130(constB11, bitIndex1) | v130(constB11, bitIndex0) | (~v130(constB11, bitIndex2))))))),
% 7.01/4.96 inference(monotonicity,[status(thm)],[4225])).
% 7.01/4.96 tff(4227,plain,
% 7.01/4.96 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB11)) | (~(v130(constB11, bitIndex0) | v130(constB11, bitIndex1) | (~v130(constB11, bitIndex2)))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | (~v122(constB11)) | (~(v130(constB11, bitIndex1) | v130(constB11, bitIndex0) | (~v130(constB11, bitIndex2)))))),
% 7.01/4.96 inference(transitivity,[status(thm)],[4226, 4224])).
% 7.01/4.96 tff(4228,plain,
% 7.01/4.96 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB11)) | (~(v130(constB11, bitIndex0) | v130(constB11, bitIndex1) | (~v130(constB11, bitIndex2)))))),
% 7.01/4.96 inference(quant_inst,[status(thm)],[])).
% 7.01/4.96 tff(4229,plain,
% 7.01/4.96 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | (~v122(constB11)) | (~(v130(constB11, bitIndex1) | v130(constB11, bitIndex0) | (~v130(constB11, bitIndex2))))),
% 7.01/4.96 inference(modus_ponens,[status(thm)],[4228, 4227])).
% 7.01/4.96 tff(4230,plain,
% 7.01/4.96 ((~v122(constB11)) | (~(v130(constB11, bitIndex1) | v130(constB11, bitIndex0) | (~v130(constB11, bitIndex2))))),
% 7.01/4.96 inference(unit_resolution,[status(thm)],[4229, 4223])).
% 7.01/4.96 tff(4231,plain,
% 7.01/4.96 (~(v130(constB11, bitIndex1) | v130(constB11, bitIndex0) | (~v130(constB11, bitIndex2)))),
% 7.01/4.96 inference(unit_resolution,[status(thm)],[4230, 4210])).
% 7.01/4.96 tff(4232,plain,
% 7.01/4.96 ((v130(constB11, bitIndex1) | v130(constB11, bitIndex0) | (~v130(constB11, bitIndex2))) | v130(constB11, bitIndex2)),
% 7.01/4.96 inference(tautology,[status(thm)],[])).
% 7.01/4.96 tff(4233,plain,
% 7.01/4.96 (v130(constB11, bitIndex2)),
% 7.01/4.96 inference(unit_resolution,[status(thm)],[4232, 4231])).
% 7.01/4.96 tff(4234,plain,
% 7.01/4.96 (((~v127(constB11, bitIndex2)) <=> v130(constB11, bitIndex2)) | v127(constB11, bitIndex2) | (~v130(constB11, bitIndex2))),
% 7.01/4.96 inference(tautology,[status(thm)],[])).
% 7.01/4.96 tff(4235,plain,
% 7.01/4.96 (v127(constB11, bitIndex2)),
% 7.01/4.96 inference(unit_resolution,[status(thm)],[4234, 4233, 2812])).
% 7.01/4.96 tff(4236,plain,
% 7.01/4.96 (((~v129(constB12, bitIndex2)) <=> v127(constB11, bitIndex2)) | v129(constB12, bitIndex2) | (~v127(constB11, bitIndex2))),
% 7.01/4.96 inference(tautology,[status(thm)],[])).
% 7.01/4.96 tff(4237,plain,
% 7.01/4.96 (v129(constB12, bitIndex2)),
% 7.01/4.96 inference(unit_resolution,[status(thm)],[4236, 4235, 2798])).
% 7.01/4.96 tff(4238,plain,
% 7.01/4.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB11, constB12)) | (v100(constB12) <=> (~((~v101(constB12)) | (~v110(constB12))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB11, constB12)) | (v100(constB12) <=> (~((~v101(constB12)) | (~v110(constB12))))))),
% 7.01/4.96 inference(rewrite,[status(thm)],[])).
% 7.01/4.96 tff(4239,plain,
% 7.01/4.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB11, constB12)) | (v100(constB12) <=> (~((~v101(constB12)) | (~v110(constB12))))))),
% 7.01/4.96 inference(quant_inst,[status(thm)],[])).
% 7.01/4.96 tff(4240,plain,
% 7.01/4.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB11, constB12)) | (v100(constB12) <=> (~((~v101(constB12)) | (~v110(constB12)))))),
% 7.01/4.97 inference(modus_ponens,[status(thm)],[4239, 4238])).
% 7.01/4.97 tff(4241,plain,
% 7.01/4.97 (v100(constB12) <=> (~((~v101(constB12)) | (~v110(constB12))))),
% 7.01/4.97 inference(unit_resolution,[status(thm)],[4240, 2792, 445])).
% 7.01/4.97 tff(4242,plain,
% 7.01/4.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB11, constB12)) | (v101(constB12) <=> (~((~v1(constB12)) | (~v102(constB12))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB11, constB12)) | (v101(constB12) <=> (~((~v1(constB12)) | (~v102(constB12))))))),
% 7.01/4.97 inference(rewrite,[status(thm)],[])).
% 7.01/4.97 tff(4243,plain,
% 7.01/4.97 (((~nextState(constB11, constB12)) | (v101(constB12) <=> (~((~v102(constB12)) | (~v1(constB12)))))) <=> ((~nextState(constB11, constB12)) | (v101(constB12) <=> (~((~v1(constB12)) | (~v102(constB12))))))),
% 7.01/4.97 inference(rewrite,[status(thm)],[])).
% 7.01/4.97 tff(4244,plain,
% 7.01/4.97 (((~![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) <=> (~((~v1(constB12)) | (~v102(constB12)))))))),
% 7.01/4.97 inference(monotonicity,[status(thm)],[4243])).
% 7.01/4.97 tff(4245,plain,
% 7.01/4.97 (((~![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) <=> (~((~v1(constB12)) | (~v102(constB12))))))),
% 7.01/4.97 inference(transitivity,[status(thm)],[4244, 4242])).
% 7.01/4.97 tff(4246,plain,
% 7.01/4.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB11, constB12)) | (v101(constB12) <=> (~((~v102(constB12)) | (~v1(constB12))))))),
% 7.01/4.97 inference(quant_inst,[status(thm)],[])).
% 7.01/4.97 tff(4247,plain,
% 7.01/4.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB11, constB12)) | (v101(constB12) <=> (~((~v1(constB12)) | (~v102(constB12)))))),
% 7.01/4.97 inference(modus_ponens,[status(thm)],[4246, 4245])).
% 7.01/4.97 tff(4248,plain,
% 7.01/4.97 (v101(constB12) <=> (~((~v1(constB12)) | (~v102(constB12))))),
% 7.01/4.97 inference(unit_resolution,[status(thm)],[4247, 2792, 465])).
% 7.01/4.97 tff(4249,plain,
% 7.01/4.97 (((~![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)))),
% 7.01/4.97 inference(rewrite,[status(thm)],[])).
% 7.01/4.97 tff(4250,plain,
% 7.01/4.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB11, constB12)) | ((~v102(constB12)) <=> v104(constB12)))),
% 7.01/4.97 inference(quant_inst,[status(thm)],[])).
% 7.01/4.97 tff(4251,plain,
% 7.01/4.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB11, constB12)) | ((~v102(constB12)) <=> v104(constB12))),
% 7.01/4.97 inference(modus_ponens,[status(thm)],[4250, 4249])).
% 7.01/4.97 tff(4252,plain,
% 7.01/4.97 ((~v102(constB12)) <=> v104(constB12)),
% 7.01/4.97 inference(unit_resolution,[status(thm)],[4251, 2792, 3244])).
% 7.01/4.97 tff(4253,plain,
% 7.01/4.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB11, constB12)) | (v104(constB12) <=> v1(constB11)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB11, constB12)) | (v104(constB12) <=> v1(constB11)))),
% 7.01/4.97 inference(rewrite,[status(thm)],[])).
% 7.01/4.97 tff(4254,plain,
% 7.01/4.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB11, constB12)) | (v104(constB12) <=> v1(constB11)))),
% 7.01/4.97 inference(quant_inst,[status(thm)],[])).
% 7.01/4.97 tff(4255,plain,
% 7.01/4.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB11, constB12)) | (v104(constB12) <=> v1(constB11))),
% 7.01/4.97 inference(modus_ponens,[status(thm)],[4254, 4253])).
% 7.01/4.97 tff(4256,plain,
% 7.01/4.97 (v104(constB12) <=> v1(constB11)),
% 7.01/4.97 inference(unit_resolution,[status(thm)],[4255, 2792, 3258])).
% 7.01/4.97 tff(4257,plain,
% 7.01/4.97 ((~(v104(constB12) <=> v1(constB11))) | (~v104(constB12)) | v1(constB11)),
% 7.01/4.97 inference(tautology,[status(thm)],[])).
% 7.01/4.97 tff(4258,plain,
% 7.01/4.97 ((~(v104(constB12) <=> v1(constB11))) | (~v104(constB12))),
% 7.01/4.97 inference(unit_resolution,[status(thm)],[4257, 2836])).
% 7.01/4.97 tff(4259,plain,
% 7.01/4.97 (~v104(constB12)),
% 7.01/4.97 inference(unit_resolution,[status(thm)],[4258, 4256])).
% 7.01/4.97 tff(4260,plain,
% 7.01/4.97 ((~((~v102(constB12)) <=> v104(constB12))) | v102(constB12) | v104(constB12)),
% 7.01/4.97 inference(tautology,[status(thm)],[])).
% 7.01/4.97 tff(4261,plain,
% 7.01/4.97 (v102(constB12)),
% 7.01/4.97 inference(unit_resolution,[status(thm)],[4260, 4259, 4252])).
% 7.01/4.97 tff(4262,plain,
% 7.01/4.97 (v1(constB12) <=> v1(constB12)),
% 7.01/4.97 inference(rewrite,[status(thm)],[])).
% 7.01/4.97 tff(4263,axiom,(v1(constB12)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_12')).
% 7.01/4.97 tff(4264,plain,
% 7.01/4.97 (v1(constB12)),
% 7.01/4.97 inference(modus_ponens,[status(thm)],[4263, 4262])).
% 7.01/4.97 tff(4265,plain,
% 7.01/4.97 ((~((~v1(constB12)) | (~v102(constB12)))) | (~v1(constB12)) | (~v102(constB12))),
% 7.01/4.97 inference(tautology,[status(thm)],[])).
% 7.01/4.97 tff(4266,plain,
% 7.01/4.97 ((~((~v1(constB12)) | (~v102(constB12)))) | (~v102(constB12))),
% 7.01/4.97 inference(unit_resolution,[status(thm)],[4265, 4264])).
% 7.01/4.97 tff(4267,plain,
% 7.01/4.97 (~((~v1(constB12)) | (~v102(constB12)))),
% 7.01/4.97 inference(unit_resolution,[status(thm)],[4266, 4261])).
% 7.01/4.97 tff(4268,plain,
% 7.01/4.97 ((~(v101(constB12) <=> (~((~v1(constB12)) | (~v102(constB12)))))) | v101(constB12) | ((~v1(constB12)) | (~v102(constB12)))),
% 7.01/4.97 inference(tautology,[status(thm)],[])).
% 7.01/4.97 tff(4269,plain,
% 7.01/4.97 (v101(constB12)),
% 7.01/4.97 inference(unit_resolution,[status(thm)],[4268, 4267, 4248])).
% 7.01/4.97 tff(4270,plain,
% 7.01/4.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB11, constB12)) | (v110(constB12) <=> v108(constB11)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB11, constB12)) | (v110(constB12) <=> v108(constB11)))),
% 7.01/4.97 inference(rewrite,[status(thm)],[])).
% 7.01/4.97 tff(4271,plain,
% 7.01/4.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB11, constB12)) | (v110(constB12) <=> v108(constB11)))),
% 7.01/4.97 inference(quant_inst,[status(thm)],[])).
% 7.01/4.97 tff(4272,plain,
% 7.01/4.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB11, constB12)) | (v110(constB12) <=> v108(constB11))),
% 7.01/4.97 inference(modus_ponens,[status(thm)],[4271, 4270])).
% 7.01/4.97 tff(4273,plain,
% 7.01/4.97 (v110(constB12) <=> v108(constB11)),
% 7.01/4.97 inference(unit_resolution,[status(thm)],[4272, 2792, 3285])).
% 7.01/4.97 tff(4274,plain,
% 7.01/4.97 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB11) <=> (v111(constB11) | v112(constB11)))),
% 7.01/4.97 inference(quant_inst,[status(thm)],[])).
% 7.01/4.97 tff(4275,plain,
% 7.01/4.97 (v108(constB11) <=> (v111(constB11) | v112(constB11))),
% 7.01/4.97 inference(unit_resolution,[status(thm)],[4274, 3296])).
% 7.01/4.97 tff(4276,plain,
% 7.01/4.97 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB11) <=> (~((~v113(constB11)) | (~v126(constB11)))))),
% 7.01/4.97 inference(quant_inst,[status(thm)],[])).
% 7.01/4.97 tff(4277,plain,
% 7.01/4.97 (v112(constB11) <=> (~((~v113(constB11)) | (~v126(constB11))))),
% 7.01/4.97 inference(unit_resolution,[status(thm)],[4276, 3308])).
% 7.01/4.97 tff(4278,plain,
% 7.01/4.97 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB11) <=> (v114(constB11) | v125(constB11)))),
% 7.01/4.97 inference(quant_inst,[status(thm)],[])).
% 7.01/4.97 tff(4279,plain,
% 7.01/4.97 (v113(constB11) <=> (v114(constB11) | v125(constB11))),
% 7.01/4.97 inference(unit_resolution,[status(thm)],[4278, 3317])).
% 7.01/4.97 tff(4280,plain,
% 7.01/4.97 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB11) <=> (v115(constB11) | v124(constB11)))),
% 7.01/4.97 inference(quant_inst,[status(thm)],[])).
% 7.01/4.97 tff(4281,plain,
% 7.01/4.97 (v114(constB11) <=> (v115(constB11) | v124(constB11))),
% 7.01/4.97 inference(unit_resolution,[status(thm)],[4280, 3326])).
% 7.01/4.97 tff(4282,plain,
% 7.01/4.97 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB11) <=> (v116(constB11) | v123(constB11)))),
% 7.01/4.97 inference(quant_inst,[status(thm)],[])).
% 7.01/4.97 tff(4283,plain,
% 7.01/4.97 (v115(constB11) <=> (v116(constB11) | v123(constB11))),
% 7.01/4.97 inference(unit_resolution,[status(thm)],[4282, 3335])).
% 7.01/4.97 tff(4284,plain,
% 7.01/4.97 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB11) <=> (v117(constB11) | v122(constB11)))),
% 7.01/4.97 inference(quant_inst,[status(thm)],[])).
% 7.01/4.97 tff(4285,plain,
% 7.01/4.97 (v116(constB11) <=> (v117(constB11) | v122(constB11))),
% 7.01/4.97 inference(unit_resolution,[status(thm)],[4284, 3344])).
% 7.01/4.97 tff(4286,plain,
% 7.01/4.97 ((v117(constB11) | v122(constB11)) | (~v122(constB11))),
% 7.01/4.97 inference(tautology,[status(thm)],[])).
% 7.01/4.97 tff(4287,plain,
% 7.01/4.97 (v117(constB11) | v122(constB11)),
% 7.01/4.97 inference(unit_resolution,[status(thm)],[4286, 4210])).
% 7.01/4.97 tff(4288,plain,
% 7.01/4.97 ((~(v116(constB11) <=> (v117(constB11) | v122(constB11)))) | v116(constB11) | (~(v117(constB11) | v122(constB11)))),
% 7.01/4.97 inference(tautology,[status(thm)],[])).
% 7.01/4.97 tff(4289,plain,
% 7.01/4.97 (v116(constB11)),
% 7.01/4.97 inference(unit_resolution,[status(thm)],[4288, 4287, 4285])).
% 7.01/4.97 tff(4290,plain,
% 7.01/4.97 ((v116(constB11) | v123(constB11)) | (~v116(constB11))),
% 7.01/4.97 inference(tautology,[status(thm)],[])).
% 7.01/4.97 tff(4291,plain,
% 7.01/4.97 (v116(constB11) | v123(constB11)),
% 7.01/4.97 inference(unit_resolution,[status(thm)],[4290, 4289])).
% 7.01/4.97 tff(4292,plain,
% 7.01/4.97 ((~(v115(constB11) <=> (v116(constB11) | v123(constB11)))) | v115(constB11) | (~(v116(constB11) | v123(constB11)))),
% 7.01/4.97 inference(tautology,[status(thm)],[])).
% 7.01/4.97 tff(4293,plain,
% 7.01/4.97 (v115(constB11)),
% 7.01/4.97 inference(unit_resolution,[status(thm)],[4292, 4291, 4283])).
% 7.01/4.97 tff(4294,plain,
% 7.01/4.97 ((v115(constB11) | v124(constB11)) | (~v115(constB11))),
% 7.01/4.97 inference(tautology,[status(thm)],[])).
% 7.01/4.97 tff(4295,plain,
% 7.01/4.97 (v115(constB11) | v124(constB11)),
% 7.01/4.97 inference(unit_resolution,[status(thm)],[4294, 4293])).
% 7.01/4.97 tff(4296,plain,
% 7.01/4.97 ((~(v114(constB11) <=> (v115(constB11) | v124(constB11)))) | v114(constB11) | (~(v115(constB11) | v124(constB11)))),
% 7.01/4.97 inference(tautology,[status(thm)],[])).
% 7.01/4.97 tff(4297,plain,
% 7.01/4.97 (v114(constB11)),
% 7.01/4.97 inference(unit_resolution,[status(thm)],[4296, 4295, 4281])).
% 7.01/4.97 tff(4298,plain,
% 7.01/4.97 ((v114(constB11) | v125(constB11)) | (~v114(constB11))),
% 7.01/4.97 inference(tautology,[status(thm)],[])).
% 7.01/4.97 tff(4299,plain,
% 7.01/4.97 (v114(constB11) | v125(constB11)),
% 7.01/4.97 inference(unit_resolution,[status(thm)],[4298, 4297])).
% 7.01/4.97 tff(4300,plain,
% 7.01/4.97 ((~(v113(constB11) <=> (v114(constB11) | v125(constB11)))) | v113(constB11) | (~(v114(constB11) | v125(constB11)))),
% 7.01/4.97 inference(tautology,[status(thm)],[])).
% 7.01/4.97 tff(4301,plain,
% 7.01/4.97 (v113(constB11)),
% 7.01/4.97 inference(unit_resolution,[status(thm)],[4300, 4299, 4279])).
% 7.01/4.97 tff(4302,plain,
% 7.01/4.97 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB11)) <=> v111(constB11))),
% 7.01/4.97 inference(quant_inst,[status(thm)],[])).
% 7.01/4.97 tff(4303,plain,
% 7.01/4.97 ((~v126(constB11)) <=> v111(constB11)),
% 7.01/4.97 inference(unit_resolution,[status(thm)],[4302, 3396])).
% 7.01/4.97 tff(4304,plain,
% 7.01/4.97 ((~((~v126(constB11)) <=> v111(constB11))) | v126(constB11) | v111(constB11)),
% 7.01/4.97 inference(tautology,[status(thm)],[])).
% 7.01/4.97 tff(4305,plain,
% 7.01/4.97 ((~((~v126(constB11)) <=> v111(constB11))) | v126(constB11)),
% 7.01/4.97 inference(unit_resolution,[status(thm)],[4304, 2805])).
% 7.01/4.97 tff(4306,plain,
% 7.01/4.97 (v126(constB11)),
% 7.01/4.97 inference(unit_resolution,[status(thm)],[4305, 4303])).
% 7.01/4.97 tff(4307,plain,
% 7.01/4.97 ((~((~v113(constB11)) | (~v126(constB11)))) | (~v113(constB11)) | (~v126(constB11))),
% 7.01/4.97 inference(tautology,[status(thm)],[])).
% 7.01/4.97 tff(4308,plain,
% 7.01/4.97 ((~((~v113(constB11)) | (~v126(constB11)))) | (~v113(constB11))),
% 7.01/4.97 inference(unit_resolution,[status(thm)],[4307, 4306])).
% 7.01/4.97 tff(4309,plain,
% 7.01/4.97 (~((~v113(constB11)) | (~v126(constB11)))),
% 7.01/4.97 inference(unit_resolution,[status(thm)],[4308, 4301])).
% 7.01/4.97 tff(4310,plain,
% 7.01/4.97 ((~(v112(constB11) <=> (~((~v113(constB11)) | (~v126(constB11)))))) | v112(constB11) | ((~v113(constB11)) | (~v126(constB11)))),
% 7.01/4.97 inference(tautology,[status(thm)],[])).
% 7.01/4.97 tff(4311,plain,
% 7.01/4.97 (v112(constB11)),
% 7.01/4.97 inference(unit_resolution,[status(thm)],[4310, 4309, 4277])).
% 7.01/4.97 tff(4312,plain,
% 7.01/4.97 ((v111(constB11) | v112(constB11)) | (~v112(constB11))),
% 7.01/4.97 inference(tautology,[status(thm)],[])).
% 7.01/4.97 tff(4313,plain,
% 7.01/4.97 (v111(constB11) | v112(constB11)),
% 7.01/4.97 inference(unit_resolution,[status(thm)],[4312, 4311])).
% 7.01/4.97 tff(4314,plain,
% 7.01/4.97 ((~(v108(constB11) <=> (v111(constB11) | v112(constB11)))) | v108(constB11) | (~(v111(constB11) | v112(constB11)))),
% 7.01/4.97 inference(tautology,[status(thm)],[])).
% 7.01/4.97 tff(4315,plain,
% 7.01/4.97 (v108(constB11)),
% 7.01/4.97 inference(unit_resolution,[status(thm)],[4314, 4313, 4275])).
% 7.01/4.97 tff(4316,plain,
% 7.01/4.97 ((~(v110(constB12) <=> v108(constB11))) | v110(constB12) | (~v108(constB11))),
% 7.01/4.97 inference(tautology,[status(thm)],[])).
% 7.01/4.97 tff(4317,plain,
% 7.01/4.97 (v110(constB12)),
% 7.01/4.97 inference(unit_resolution,[status(thm)],[4316, 4315, 4273])).
% 7.01/4.97 tff(4318,plain,
% 7.01/4.97 ((~((~v101(constB12)) | (~v110(constB12)))) | (~v101(constB12)) | (~v110(constB12))),
% 7.01/4.97 inference(tautology,[status(thm)],[])).
% 7.01/4.97 tff(4319,plain,
% 7.01/4.97 (~((~v101(constB12)) | (~v110(constB12)))),
% 7.01/4.97 inference(unit_resolution,[status(thm)],[4318, 4317, 4269])).
% 7.01/4.97 tff(4320,plain,
% 7.01/4.97 ((~(v100(constB12) <=> (~((~v101(constB12)) | (~v110(constB12)))))) | v100(constB12) | ((~v101(constB12)) | (~v110(constB12)))),
% 7.01/4.97 inference(tautology,[status(thm)],[])).
% 7.01/4.97 tff(4321,plain,
% 7.01/4.97 (v100(constB12)),
% 7.01/4.97 inference(unit_resolution,[status(thm)],[4320, 4319, 4241])).
% 7.01/4.97 tff(4322,plain,
% 7.01/4.97 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB12)) | (~(((~v90(constB12, bitIndex2)) <=> v129(constB12, bitIndex2)) | ((~v90(constB12, bitIndex1)) <=> v129(constB12, bitIndex1)) | ((~v90(constB12, bitIndex0)) <=> v129(constB12, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB12)) | (~(((~v90(constB12, bitIndex2)) <=> v129(constB12, bitIndex2)) | ((~v90(constB12, bitIndex1)) <=> v129(constB12, bitIndex1)) | ((~v90(constB12, bitIndex0)) <=> v129(constB12, bitIndex0)))))),
% 7.01/4.97 inference(rewrite,[status(thm)],[])).
% 7.01/4.97 tff(4323,plain,
% 7.01/4.97 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB12)) | (~(((~v90(constB12, bitIndex2)) <=> v129(constB12, bitIndex2)) | ((~v90(constB12, bitIndex1)) <=> v129(constB12, bitIndex1)) | ((~v90(constB12, bitIndex0)) <=> v129(constB12, bitIndex0)))))),
% 7.01/4.97 inference(quant_inst,[status(thm)],[])).
% 7.01/4.97 tff(4324,plain,
% 7.01/4.97 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB12)) | (~(((~v90(constB12, bitIndex2)) <=> v129(constB12, bitIndex2)) | ((~v90(constB12, bitIndex1)) <=> v129(constB12, bitIndex1)) | ((~v90(constB12, bitIndex0)) <=> v129(constB12, bitIndex0))))),
% 7.01/4.97 inference(modus_ponens,[status(thm)],[4323, 4322])).
% 7.01/4.97 tff(4325,plain,
% 7.01/4.97 ((~v100(constB12)) | (~(((~v90(constB12, bitIndex2)) <=> v129(constB12, bitIndex2)) | ((~v90(constB12, bitIndex1)) <=> v129(constB12, bitIndex1)) | ((~v90(constB12, bitIndex0)) <=> v129(constB12, bitIndex0))))),
% 7.01/4.97 inference(unit_resolution,[status(thm)],[4324, 3429])).
% 7.01/4.97 tff(4326,plain,
% 7.01/4.97 (~(((~v90(constB12, bitIndex2)) <=> v129(constB12, bitIndex2)) | ((~v90(constB12, bitIndex1)) <=> v129(constB12, bitIndex1)) | ((~v90(constB12, bitIndex0)) <=> v129(constB12, bitIndex0)))),
% 7.01/4.97 inference(unit_resolution,[status(thm)],[4325, 4321])).
% 7.01/4.97 tff(4327,plain,
% 7.01/4.97 ((((~v90(constB12, bitIndex2)) <=> v129(constB12, bitIndex2)) | ((~v90(constB12, bitIndex1)) <=> v129(constB12, bitIndex1)) | ((~v90(constB12, bitIndex0)) <=> v129(constB12, bitIndex0))) | (~((~v90(constB12, bitIndex2)) <=> v129(constB12, bitIndex2)))),
% 7.01/4.97 inference(tautology,[status(thm)],[])).
% 7.01/4.97 tff(4328,plain,
% 7.01/4.97 (~((~v90(constB12, bitIndex2)) <=> v129(constB12, bitIndex2))),
% 7.01/4.97 inference(unit_resolution,[status(thm)],[4327, 4326])).
% 7.01/4.97 tff(4329,plain,
% 7.01/4.97 (((~v90(constB12, bitIndex2)) <=> v129(constB12, bitIndex2)) | v90(constB12, bitIndex2) | (~v129(constB12, bitIndex2))),
% 7.01/4.97 inference(tautology,[status(thm)],[])).
% 7.01/4.97 tff(4330,plain,
% 7.01/4.97 (v90(constB12, bitIndex2)),
% 7.01/4.97 inference(unit_resolution,[status(thm)],[4329, 4328, 4237])).
% 7.01/4.97 tff(4331,plain,
% 7.01/4.97 (((~v90(constB13, bitIndex2)) <=> v90(constB12, bitIndex2)) | v90(constB13, bitIndex2) | (~v90(constB12, bitIndex2))),
% 7.01/4.97 inference(tautology,[status(thm)],[])).
% 7.01/4.97 tff(4332,plain,
% 7.01/4.97 (v90(constB13, bitIndex2)),
% 7.01/4.97 inference(unit_resolution,[status(thm)],[4331, 4330, 2789])).
% 7.01/4.97 tff(4333,plain,
% 7.01/4.97 ((((~v90(constB13, bitIndex1)) <=> v90(constB12, bitIndex1)) | ((~v90(constB13, bitIndex2)) <=> v90(constB12, bitIndex2)) | ((~v90(constB13, bitIndex0)) <=> v90(constB12, bitIndex0))) | (~((~v90(constB13, bitIndex0)) <=> v90(constB12, bitIndex0)))),
% 7.01/4.97 inference(tautology,[status(thm)],[])).
% 7.01/4.97 tff(4334,plain,
% 7.01/4.97 (~((~v90(constB13, bitIndex0)) <=> v90(constB12, bitIndex0))),
% 7.01/4.97 inference(unit_resolution,[status(thm)],[4333, 2787])).
% 7.01/4.97 tff(4335,plain,
% 7.01/4.97 ((((~v129(constB12, bitIndex2)) <=> v127(constB11, bitIndex2)) | ((~v129(constB12, bitIndex1)) <=> v127(constB11, bitIndex1)) | ((~v129(constB12, bitIndex0)) <=> v127(constB11, bitIndex0))) | (~((~v129(constB12, bitIndex0)) <=> v127(constB11, bitIndex0)))),
% 7.01/4.97 inference(tautology,[status(thm)],[])).
% 7.01/4.97 tff(4336,plain,
% 7.01/4.97 (~((~v129(constB12, bitIndex0)) <=> v127(constB11, bitIndex0))),
% 7.01/4.97 inference(unit_resolution,[status(thm)],[4335, 2796])).
% 7.01/4.97 tff(4337,plain,
% 7.01/4.97 ((((~v127(constB11, bitIndex2)) <=> v130(constB11, bitIndex2)) | ((~v127(constB11, bitIndex1)) <=> v130(constB11, bitIndex1)) | ((~v127(constB11, bitIndex0)) <=> v130(constB11, bitIndex0))) | (~((~v127(constB11, bitIndex0)) <=> v130(constB11, bitIndex0)))),
% 7.01/4.97 inference(tautology,[status(thm)],[])).
% 7.01/4.97 tff(4338,plain,
% 7.01/4.97 (~((~v127(constB11, bitIndex0)) <=> v130(constB11, bitIndex0))),
% 7.01/4.97 inference(unit_resolution,[status(thm)],[4337, 2810])).
% 7.01/4.97 tff(4339,plain,
% 7.01/4.97 ((v130(constB11, bitIndex1) | v130(constB11, bitIndex0) | (~v130(constB11, bitIndex2))) | (~v130(constB11, bitIndex0))),
% 7.01/4.97 inference(tautology,[status(thm)],[])).
% 7.01/4.97 tff(4340,plain,
% 7.01/4.97 (~v130(constB11, bitIndex0)),
% 7.01/4.97 inference(unit_resolution,[status(thm)],[4339, 4231])).
% 7.01/4.97 tff(4341,plain,
% 7.01/4.97 (((~v127(constB11, bitIndex0)) <=> v130(constB11, bitIndex0)) | (~v127(constB11, bitIndex0)) | v130(constB11, bitIndex0)),
% 7.01/4.97 inference(tautology,[status(thm)],[])).
% 7.01/4.97 tff(4342,plain,
% 7.01/4.97 (~v127(constB11, bitIndex0)),
% 7.01/4.97 inference(unit_resolution,[status(thm)],[4341, 4340, 4338])).
% 7.01/4.97 tff(4343,plain,
% 7.01/4.97 (((~v129(constB12, bitIndex0)) <=> v127(constB11, bitIndex0)) | (~v129(constB12, bitIndex0)) | v127(constB11, bitIndex0)),
% 7.01/4.97 inference(tautology,[status(thm)],[])).
% 7.01/4.97 tff(4344,plain,
% 7.01/4.97 (~v129(constB12, bitIndex0)),
% 7.01/4.97 inference(unit_resolution,[status(thm)],[4343, 4342, 4336])).
% 7.01/4.97 tff(4345,plain,
% 7.01/4.97 ((((~v90(constB12, bitIndex2)) <=> v129(constB12, bitIndex2)) | ((~v90(constB12, bitIndex1)) <=> v129(constB12, bitIndex1)) | ((~v90(constB12, bitIndex0)) <=> v129(constB12, bitIndex0))) | (~((~v90(constB12, bitIndex0)) <=> v129(constB12, bitIndex0)))),
% 7.01/4.97 inference(tautology,[status(thm)],[])).
% 7.01/4.97 tff(4346,plain,
% 7.01/4.97 (~((~v90(constB12, bitIndex0)) <=> v129(constB12, bitIndex0))),
% 7.01/4.97 inference(unit_resolution,[status(thm)],[4345, 4326])).
% 7.01/4.97 tff(4347,plain,
% 7.01/4.97 (((~v90(constB12, bitIndex0)) <=> v129(constB12, bitIndex0)) | (~v90(constB12, bitIndex0)) | v129(constB12, bitIndex0)),
% 7.01/4.97 inference(tautology,[status(thm)],[])).
% 7.01/4.97 tff(4348,plain,
% 7.01/4.97 (~v90(constB12, bitIndex0)),
% 7.01/4.97 inference(unit_resolution,[status(thm)],[4347, 4346, 4344])).
% 7.01/4.97 tff(4349,plain,
% 7.01/4.97 (((~v90(constB13, bitIndex0)) <=> v90(constB12, bitIndex0)) | (~v90(constB13, bitIndex0)) | v90(constB12, bitIndex0)),
% 7.01/4.97 inference(tautology,[status(thm)],[])).
% 7.01/4.97 tff(4350,plain,
% 7.01/4.97 (~v90(constB13, bitIndex0)),
% 7.01/4.97 inference(unit_resolution,[status(thm)],[4349, 4348, 4334])).
% 7.01/4.97 tff(4351,plain,
% 7.01/4.97 ((((~v90(constB13, bitIndex1)) <=> v90(constB12, bitIndex1)) | ((~v90(constB13, bitIndex2)) <=> v90(constB12, bitIndex2)) | ((~v90(constB13, bitIndex0)) <=> v90(constB12, bitIndex0))) | (~((~v90(constB13, bitIndex1)) <=> v90(constB12, bitIndex1)))),
% 7.01/4.97 inference(tautology,[status(thm)],[])).
% 7.01/4.97 tff(4352,plain,
% 7.01/4.97 (~((~v90(constB13, bitIndex1)) <=> v90(constB12, bitIndex1))),
% 7.01/4.97 inference(unit_resolution,[status(thm)],[4351, 2787])).
% 7.01/4.97 tff(4353,plain,
% 7.01/4.97 ((((~v129(constB12, bitIndex2)) <=> v127(constB11, bitIndex2)) | ((~v129(constB12, bitIndex1)) <=> v127(constB11, bitIndex1)) | ((~v129(constB12, bitIndex0)) <=> v127(constB11, bitIndex0))) | (~((~v129(constB12, bitIndex1)) <=> v127(constB11, bitIndex1)))),
% 7.01/4.97 inference(tautology,[status(thm)],[])).
% 7.01/4.97 tff(4354,plain,
% 7.01/4.97 (~((~v129(constB12, bitIndex1)) <=> v127(constB11, bitIndex1))),
% 7.01/4.97 inference(unit_resolution,[status(thm)],[4353, 2796])).
% 7.01/4.97 tff(4355,plain,
% 7.01/4.97 ((((~v127(constB11, bitIndex2)) <=> v130(constB11, bitIndex2)) | ((~v127(constB11, bitIndex1)) <=> v130(constB11, bitIndex1)) | ((~v127(constB11, bitIndex0)) <=> v130(constB11, bitIndex0))) | (~((~v127(constB11, bitIndex1)) <=> v130(constB11, bitIndex1)))),
% 7.01/4.97 inference(tautology,[status(thm)],[])).
% 7.01/4.97 tff(4356,plain,
% 7.01/4.97 (~((~v127(constB11, bitIndex1)) <=> v130(constB11, bitIndex1))),
% 7.01/4.97 inference(unit_resolution,[status(thm)],[4355, 2810])).
% 7.01/4.97 tff(4357,plain,
% 7.01/4.97 ((v130(constB11, bitIndex1) | v130(constB11, bitIndex0) | (~v130(constB11, bitIndex2))) | (~v130(constB11, bitIndex1))),
% 7.01/4.97 inference(tautology,[status(thm)],[])).
% 7.01/4.97 tff(4358,plain,
% 7.01/4.97 (~v130(constB11, bitIndex1)),
% 7.01/4.97 inference(unit_resolution,[status(thm)],[4357, 4231])).
% 7.01/4.97 tff(4359,plain,
% 7.01/4.97 (((~v127(constB11, bitIndex1)) <=> v130(constB11, bitIndex1)) | (~v127(constB11, bitIndex1)) | v130(constB11, bitIndex1)),
% 7.01/4.97 inference(tautology,[status(thm)],[])).
% 7.01/4.97 tff(4360,plain,
% 7.01/4.97 (~v127(constB11, bitIndex1)),
% 7.01/4.97 inference(unit_resolution,[status(thm)],[4359, 4358, 4356])).
% 7.01/4.97 tff(4361,plain,
% 7.01/4.97 (((~v129(constB12, bitIndex1)) <=> v127(constB11, bitIndex1)) | (~v129(constB12, bitIndex1)) | v127(constB11, bitIndex1)),
% 7.01/4.97 inference(tautology,[status(thm)],[])).
% 7.01/4.97 tff(4362,plain,
% 7.01/4.97 (~v129(constB12, bitIndex1)),
% 7.01/4.97 inference(unit_resolution,[status(thm)],[4361, 4360, 4354])).
% 7.01/4.97 tff(4363,plain,
% 7.01/4.97 ((((~v90(constB12, bitIndex2)) <=> v129(constB12, bitIndex2)) | ((~v90(constB12, bitIndex1)) <=> v129(constB12, bitIndex1)) | ((~v90(constB12, bitIndex0)) <=> v129(constB12, bitIndex0))) | (~((~v90(constB12, bitIndex1)) <=> v129(constB12, bitIndex1)))),
% 7.01/4.97 inference(tautology,[status(thm)],[])).
% 7.01/4.97 tff(4364,plain,
% 7.01/4.97 (~((~v90(constB12, bitIndex1)) <=> v129(constB12, bitIndex1))),
% 7.01/4.97 inference(unit_resolution,[status(thm)],[4363, 4326])).
% 7.01/4.97 tff(4365,plain,
% 7.01/4.97 (((~v90(constB12, bitIndex1)) <=> v129(constB12, bitIndex1)) | (~v90(constB12, bitIndex1)) | v129(constB12, bitIndex1)),
% 7.01/4.97 inference(tautology,[status(thm)],[])).
% 7.01/4.97 tff(4366,plain,
% 7.01/4.97 (~v90(constB12, bitIndex1)),
% 7.01/4.97 inference(unit_resolution,[status(thm)],[4365, 4364, 4362])).
% 7.01/4.97 tff(4367,plain,
% 7.01/4.97 (((~v90(constB13, bitIndex1)) <=> v90(constB12, bitIndex1)) | (~v90(constB13, bitIndex1)) | v90(constB12, bitIndex1)),
% 7.01/4.97 inference(tautology,[status(thm)],[])).
% 7.01/4.97 tff(4368,plain,
% 7.01/4.97 (~v90(constB13, bitIndex1)),
% 7.01/4.97 inference(unit_resolution,[status(thm)],[4367, 4366, 4352])).
% 7.01/4.97 tff(4369,plain,
% 7.01/4.97 ((~(v90(constB13, bitIndex1) | v90(constB13, bitIndex0) | (~v90(constB13, bitIndex2)))) | v90(constB13, bitIndex1) | v90(constB13, bitIndex0) | (~v90(constB13, bitIndex2))),
% 7.01/4.97 inference(tautology,[status(thm)],[])).
% 7.01/4.97 tff(4370,plain,
% 7.01/4.97 (~(v90(constB13, bitIndex1) | v90(constB13, bitIndex0) | (~v90(constB13, bitIndex2)))),
% 7.01/4.97 inference(unit_resolution,[status(thm)],[4369, 4368, 4350, 4332])).
% 7.01/4.97 tff(4371,plain,
% 7.01/4.97 ((~(v123(constB13) <=> (~(v90(constB13, bitIndex1) | v90(constB13, bitIndex0) | (~v90(constB13, bitIndex2)))))) | v123(constB13) | (v90(constB13, bitIndex1) | v90(constB13, bitIndex0) | (~v90(constB13, bitIndex2)))),
% 7.01/4.97 inference(tautology,[status(thm)],[])).
% 7.01/4.97 tff(4372,plain,
% 7.01/4.97 (v123(constB13)),
% 7.01/4.97 inference(unit_resolution,[status(thm)],[4371, 4370, 2753])).
% 7.01/4.97 tff(4373,plain,
% 7.01/4.97 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | ((~v123(constB13)) | (~(v130(constB13, bitIndex0) | (~v130(constB13, bitIndex2)) | (~v130(constB13, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | (~v123(constB13)) | (~(v130(constB13, bitIndex0) | (~v130(constB13, bitIndex2)) | (~v130(constB13, bitIndex1)))))),
% 7.01/4.97 inference(rewrite,[status(thm)],[])).
% 7.01/4.97 tff(4374,plain,
% 7.01/4.97 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | ((~v123(constB13)) | (~(v130(constB13, bitIndex0) | (~v130(constB13, bitIndex2)) | (~v130(constB13, bitIndex1)))))),
% 7.01/4.97 inference(quant_inst,[status(thm)],[])).
% 7.01/4.97 tff(4375,plain,
% 7.01/4.97 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | (~v123(constB13)) | (~(v130(constB13, bitIndex0) | (~v130(constB13, bitIndex2)) | (~v130(constB13, bitIndex1))))),
% 7.01/4.97 inference(modus_ponens,[status(thm)],[4374, 4373])).
% 7.01/4.97 tff(4376,plain,
% 7.01/4.97 ((~v123(constB13)) | (~(v130(constB13, bitIndex0) | (~v130(constB13, bitIndex2)) | (~v130(constB13, bitIndex1))))),
% 7.01/4.97 inference(unit_resolution,[status(thm)],[4375, 3496])).
% 7.01/4.97 tff(4377,plain,
% 7.01/4.97 (~(v130(constB13, bitIndex0) | (~v130(constB13, bitIndex2)) | (~v130(constB13, bitIndex1)))),
% 7.01/4.97 inference(unit_resolution,[status(thm)],[4376, 4372])).
% 7.01/4.97 tff(4378,plain,
% 7.01/4.97 ((v130(constB13, bitIndex0) | (~v130(constB13, bitIndex2)) | (~v130(constB13, bitIndex1))) | (~v130(constB13, bitIndex0))),
% 7.01/4.97 inference(tautology,[status(thm)],[])).
% 7.01/4.97 tff(4379,plain,
% 7.01/4.97 (~v130(constB13, bitIndex0)),
% 7.01/4.97 inference(unit_resolution,[status(thm)],[4378, 4377])).
% 7.01/4.97 tff(4380,plain,
% 7.01/4.97 (((~v127(constB13, bitIndex0)) <=> v130(constB13, bitIndex0)) | (~v127(constB13, bitIndex0)) | v130(constB13, bitIndex0)),
% 7.01/4.97 inference(tautology,[status(thm)],[])).
% 7.01/4.97 tff(4381,plain,
% 7.01/4.97 (~v127(constB13, bitIndex0)),
% 7.01/4.97 inference(unit_resolution,[status(thm)],[4380, 4379, 2746])).
% 7.01/4.97 tff(4382,plain,
% 7.01/4.97 (((~v129(constB14, bitIndex0)) <=> v127(constB13, bitIndex0)) | (~v129(constB14, bitIndex0)) | v127(constB13, bitIndex0)),
% 7.01/4.97 inference(tautology,[status(thm)],[])).
% 7.01/4.97 tff(4383,plain,
% 7.01/4.97 (~v129(constB14, bitIndex0)),
% 7.01/4.97 inference(unit_resolution,[status(thm)],[4382, 4381, 2732])).
% 7.01/4.97 tff(4384,plain,
% 7.01/4.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB13, constB14)) | (v100(constB14) <=> (~((~v101(constB14)) | (~v110(constB14))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB13, constB14)) | (v100(constB14) <=> (~((~v101(constB14)) | (~v110(constB14))))))),
% 7.01/4.97 inference(rewrite,[status(thm)],[])).
% 7.01/4.97 tff(4385,plain,
% 7.01/4.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB13, constB14)) | (v100(constB14) <=> (~((~v101(constB14)) | (~v110(constB14))))))),
% 7.01/4.97 inference(quant_inst,[status(thm)],[])).
% 7.01/4.97 tff(4386,plain,
% 7.01/4.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB13, constB14)) | (v100(constB14) <=> (~((~v101(constB14)) | (~v110(constB14)))))),
% 7.01/4.97 inference(modus_ponens,[status(thm)],[4385, 4384])).
% 7.01/4.97 tff(4387,plain,
% 7.01/4.97 (v100(constB14) <=> (~((~v101(constB14)) | (~v110(constB14))))),
% 7.01/4.97 inference(unit_resolution,[status(thm)],[4386, 2726, 445])).
% 7.01/4.97 tff(4388,plain,
% 7.01/4.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB13, constB14)) | (v101(constB14) <=> (~((~v1(constB14)) | (~v102(constB14))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB13, constB14)) | (v101(constB14) <=> (~((~v1(constB14)) | (~v102(constB14))))))),
% 7.01/4.97 inference(rewrite,[status(thm)],[])).
% 7.01/4.97 tff(4389,plain,
% 7.01/4.97 (((~nextState(constB13, constB14)) | (v101(constB14) <=> (~((~v102(constB14)) | (~v1(constB14)))))) <=> ((~nextState(constB13, constB14)) | (v101(constB14) <=> (~((~v1(constB14)) | (~v102(constB14))))))),
% 7.01/4.97 inference(rewrite,[status(thm)],[])).
% 7.01/4.97 tff(4390,plain,
% 7.01/4.97 (((~![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) <=> (~((~v1(constB14)) | (~v102(constB14)))))))),
% 7.01/4.97 inference(monotonicity,[status(thm)],[4389])).
% 7.01/4.97 tff(4391,plain,
% 7.01/4.97 (((~![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) <=> (~((~v1(constB14)) | (~v102(constB14))))))),
% 7.01/4.97 inference(transitivity,[status(thm)],[4390, 4388])).
% 7.01/4.97 tff(4392,plain,
% 7.01/4.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB13, constB14)) | (v101(constB14) <=> (~((~v102(constB14)) | (~v1(constB14))))))),
% 7.01/4.97 inference(quant_inst,[status(thm)],[])).
% 7.01/4.97 tff(4393,plain,
% 7.01/4.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB13, constB14)) | (v101(constB14) <=> (~((~v1(constB14)) | (~v102(constB14)))))),
% 7.01/4.97 inference(modus_ponens,[status(thm)],[4392, 4391])).
% 7.01/4.97 tff(4394,plain,
% 7.01/4.97 (v101(constB14) <=> (~((~v1(constB14)) | (~v102(constB14))))),
% 7.01/4.97 inference(unit_resolution,[status(thm)],[4393, 2726, 465])).
% 7.01/4.97 tff(4395,plain,
% 7.01/4.97 (((~![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)))),
% 7.01/4.97 inference(rewrite,[status(thm)],[])).
% 7.01/4.97 tff(4396,plain,
% 7.01/4.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB13, constB14)) | ((~v102(constB14)) <=> v104(constB14)))),
% 7.01/4.97 inference(quant_inst,[status(thm)],[])).
% 7.01/4.98 tff(4397,plain,
% 7.01/4.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB13, constB14)) | ((~v102(constB14)) <=> v104(constB14))),
% 7.01/4.98 inference(modus_ponens,[status(thm)],[4396, 4395])).
% 7.01/4.98 tff(4398,plain,
% 7.01/4.98 ((~v102(constB14)) <=> v104(constB14)),
% 7.01/4.98 inference(unit_resolution,[status(thm)],[4397, 2726, 3244])).
% 7.01/4.98 tff(4399,plain,
% 7.01/4.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB13, constB14)) | (v104(constB14) <=> v1(constB13)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB13, constB14)) | (v104(constB14) <=> v1(constB13)))),
% 7.01/4.98 inference(rewrite,[status(thm)],[])).
% 7.01/4.98 tff(4400,plain,
% 7.01/4.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB13, constB14)) | (v104(constB14) <=> v1(constB13)))),
% 7.01/4.98 inference(quant_inst,[status(thm)],[])).
% 7.01/4.98 tff(4401,plain,
% 7.01/4.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB13, constB14)) | (v104(constB14) <=> v1(constB13))),
% 7.01/4.98 inference(modus_ponens,[status(thm)],[4400, 4399])).
% 7.01/4.98 tff(4402,plain,
% 7.01/4.98 (v104(constB14) <=> v1(constB13)),
% 7.01/4.98 inference(unit_resolution,[status(thm)],[4401, 2726, 3258])).
% 7.01/4.98 tff(4403,plain,
% 7.01/4.98 ((~(v104(constB14) <=> v1(constB13))) | (~v104(constB14)) | v1(constB13)),
% 7.01/4.98 inference(tautology,[status(thm)],[])).
% 7.01/4.98 tff(4404,plain,
% 7.01/4.98 ((~(v104(constB14) <=> v1(constB13))) | (~v104(constB14))),
% 7.01/4.98 inference(unit_resolution,[status(thm)],[4403, 2770])).
% 7.01/4.98 tff(4405,plain,
% 7.01/4.98 (~v104(constB14)),
% 7.01/4.98 inference(unit_resolution,[status(thm)],[4404, 4402])).
% 7.01/4.98 tff(4406,plain,
% 7.01/4.98 ((~((~v102(constB14)) <=> v104(constB14))) | v102(constB14) | v104(constB14)),
% 7.01/4.98 inference(tautology,[status(thm)],[])).
% 7.01/4.98 tff(4407,plain,
% 7.01/4.98 (v102(constB14)),
% 7.01/4.98 inference(unit_resolution,[status(thm)],[4406, 4405, 4398])).
% 7.01/4.98 tff(4408,plain,
% 7.01/4.98 (v1(constB14) <=> v1(constB14)),
% 7.01/4.98 inference(rewrite,[status(thm)],[])).
% 7.01/4.98 tff(4409,axiom,(v1(constB14)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_14')).
% 7.01/4.98 tff(4410,plain,
% 7.01/4.98 (v1(constB14)),
% 7.01/4.98 inference(modus_ponens,[status(thm)],[4409, 4408])).
% 7.01/4.98 tff(4411,plain,
% 7.01/4.98 ((~((~v1(constB14)) | (~v102(constB14)))) | (~v1(constB14)) | (~v102(constB14))),
% 7.01/4.98 inference(tautology,[status(thm)],[])).
% 7.01/4.98 tff(4412,plain,
% 7.01/4.98 ((~((~v1(constB14)) | (~v102(constB14)))) | (~v102(constB14))),
% 7.01/4.98 inference(unit_resolution,[status(thm)],[4411, 4410])).
% 7.01/4.98 tff(4413,plain,
% 7.01/4.98 (~((~v1(constB14)) | (~v102(constB14)))),
% 7.01/4.98 inference(unit_resolution,[status(thm)],[4412, 4407])).
% 7.01/4.98 tff(4414,plain,
% 7.01/4.98 ((~(v101(constB14) <=> (~((~v1(constB14)) | (~v102(constB14)))))) | v101(constB14) | ((~v1(constB14)) | (~v102(constB14)))),
% 7.01/4.98 inference(tautology,[status(thm)],[])).
% 7.01/4.98 tff(4415,plain,
% 7.01/4.98 (v101(constB14)),
% 7.01/4.98 inference(unit_resolution,[status(thm)],[4414, 4413, 4394])).
% 7.01/4.98 tff(4416,plain,
% 7.01/4.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB13, constB14)) | (v110(constB14) <=> v108(constB13)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB13, constB14)) | (v110(constB14) <=> v108(constB13)))),
% 7.01/4.98 inference(rewrite,[status(thm)],[])).
% 7.01/4.98 tff(4417,plain,
% 7.01/4.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB13, constB14)) | (v110(constB14) <=> v108(constB13)))),
% 7.01/4.98 inference(quant_inst,[status(thm)],[])).
% 7.01/4.98 tff(4418,plain,
% 7.01/4.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB13, constB14)) | (v110(constB14) <=> v108(constB13))),
% 7.01/4.98 inference(modus_ponens,[status(thm)],[4417, 4416])).
% 7.01/4.98 tff(4419,plain,
% 7.01/4.98 (v110(constB14) <=> v108(constB13)),
% 7.01/4.98 inference(unit_resolution,[status(thm)],[4418, 2726, 3285])).
% 7.01/4.98 tff(4420,plain,
% 7.01/4.98 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB13) <=> (v111(constB13) | v112(constB13)))),
% 7.01/4.98 inference(quant_inst,[status(thm)],[])).
% 7.01/4.98 tff(4421,plain,
% 7.01/4.98 (v108(constB13) <=> (v111(constB13) | v112(constB13))),
% 7.01/4.98 inference(unit_resolution,[status(thm)],[4420, 3296])).
% 7.01/4.98 tff(4422,plain,
% 7.01/4.98 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB13) <=> (~((~v113(constB13)) | (~v126(constB13)))))),
% 7.01/4.98 inference(quant_inst,[status(thm)],[])).
% 7.01/4.98 tff(4423,plain,
% 7.01/4.98 (v112(constB13) <=> (~((~v113(constB13)) | (~v126(constB13))))),
% 7.01/4.98 inference(unit_resolution,[status(thm)],[4422, 3308])).
% 7.01/4.98 tff(4424,plain,
% 7.01/4.98 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB13) <=> (v114(constB13) | v125(constB13)))),
% 7.01/4.98 inference(quant_inst,[status(thm)],[])).
% 7.01/4.98 tff(4425,plain,
% 7.01/4.98 (v113(constB13) <=> (v114(constB13) | v125(constB13))),
% 7.01/4.98 inference(unit_resolution,[status(thm)],[4424, 3317])).
% 7.01/4.98 tff(4426,plain,
% 7.01/4.98 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB13) <=> (v115(constB13) | v124(constB13)))),
% 7.01/4.98 inference(quant_inst,[status(thm)],[])).
% 7.01/4.98 tff(4427,plain,
% 7.01/4.98 (v114(constB13) <=> (v115(constB13) | v124(constB13))),
% 7.01/4.98 inference(unit_resolution,[status(thm)],[4426, 3326])).
% 7.01/4.98 tff(4428,plain,
% 7.01/4.98 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB13) <=> (v116(constB13) | v123(constB13)))),
% 7.01/4.98 inference(quant_inst,[status(thm)],[])).
% 7.01/4.98 tff(4429,plain,
% 7.01/4.98 (v115(constB13) <=> (v116(constB13) | v123(constB13))),
% 7.01/4.98 inference(unit_resolution,[status(thm)],[4428, 3335])).
% 7.01/4.98 tff(4430,plain,
% 7.01/4.98 ((v116(constB13) | v123(constB13)) | (~v123(constB13))),
% 7.01/4.98 inference(tautology,[status(thm)],[])).
% 7.01/4.98 tff(4431,plain,
% 7.01/4.98 (v116(constB13) | v123(constB13)),
% 7.01/4.98 inference(unit_resolution,[status(thm)],[4430, 4372])).
% 7.01/4.98 tff(4432,plain,
% 7.01/4.98 ((~(v115(constB13) <=> (v116(constB13) | v123(constB13)))) | v115(constB13) | (~(v116(constB13) | v123(constB13)))),
% 7.01/4.98 inference(tautology,[status(thm)],[])).
% 7.01/4.98 tff(4433,plain,
% 7.01/4.98 (v115(constB13)),
% 7.01/4.98 inference(unit_resolution,[status(thm)],[4432, 4431, 4429])).
% 7.01/4.98 tff(4434,plain,
% 7.01/4.98 ((v115(constB13) | v124(constB13)) | (~v115(constB13))),
% 7.01/4.98 inference(tautology,[status(thm)],[])).
% 7.01/4.98 tff(4435,plain,
% 7.01/4.98 (v115(constB13) | v124(constB13)),
% 7.01/4.98 inference(unit_resolution,[status(thm)],[4434, 4433])).
% 7.01/4.98 tff(4436,plain,
% 7.01/4.98 ((~(v114(constB13) <=> (v115(constB13) | v124(constB13)))) | v114(constB13) | (~(v115(constB13) | v124(constB13)))),
% 7.01/4.98 inference(tautology,[status(thm)],[])).
% 7.01/4.98 tff(4437,plain,
% 7.01/4.98 (v114(constB13)),
% 7.01/4.98 inference(unit_resolution,[status(thm)],[4436, 4435, 4427])).
% 7.01/4.98 tff(4438,plain,
% 7.01/4.98 ((v114(constB13) | v125(constB13)) | (~v114(constB13))),
% 7.01/4.98 inference(tautology,[status(thm)],[])).
% 7.01/4.98 tff(4439,plain,
% 7.01/4.98 (v114(constB13) | v125(constB13)),
% 7.01/4.98 inference(unit_resolution,[status(thm)],[4438, 4437])).
% 7.01/4.98 tff(4440,plain,
% 7.01/4.98 ((~(v113(constB13) <=> (v114(constB13) | v125(constB13)))) | v113(constB13) | (~(v114(constB13) | v125(constB13)))),
% 7.01/4.98 inference(tautology,[status(thm)],[])).
% 7.01/4.98 tff(4441,plain,
% 7.01/4.98 (v113(constB13)),
% 7.01/4.98 inference(unit_resolution,[status(thm)],[4440, 4439, 4425])).
% 7.01/4.98 tff(4442,plain,
% 7.01/4.98 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB13)) <=> v111(constB13))),
% 7.01/4.98 inference(quant_inst,[status(thm)],[])).
% 7.01/4.98 tff(4443,plain,
% 7.01/4.98 ((~v126(constB13)) <=> v111(constB13)),
% 7.01/4.98 inference(unit_resolution,[status(thm)],[4442, 3396])).
% 7.01/4.98 tff(4444,plain,
% 7.01/4.98 ((~((~v126(constB13)) <=> v111(constB13))) | v126(constB13) | v111(constB13)),
% 7.01/4.98 inference(tautology,[status(thm)],[])).
% 7.01/4.98 tff(4445,plain,
% 7.01/4.98 ((~((~v126(constB13)) <=> v111(constB13))) | v126(constB13)),
% 7.01/4.98 inference(unit_resolution,[status(thm)],[4444, 2739])).
% 7.01/4.98 tff(4446,plain,
% 7.01/4.98 (v126(constB13)),
% 7.01/4.98 inference(unit_resolution,[status(thm)],[4445, 4443])).
% 7.01/4.98 tff(4447,plain,
% 7.01/4.98 ((~((~v113(constB13)) | (~v126(constB13)))) | (~v113(constB13)) | (~v126(constB13))),
% 7.01/4.98 inference(tautology,[status(thm)],[])).
% 7.01/4.98 tff(4448,plain,
% 7.01/4.98 ((~((~v113(constB13)) | (~v126(constB13)))) | (~v113(constB13))),
% 7.01/4.98 inference(unit_resolution,[status(thm)],[4447, 4446])).
% 7.01/4.98 tff(4449,plain,
% 7.01/4.98 (~((~v113(constB13)) | (~v126(constB13)))),
% 7.01/4.98 inference(unit_resolution,[status(thm)],[4448, 4441])).
% 7.01/4.98 tff(4450,plain,
% 7.01/4.98 ((~(v112(constB13) <=> (~((~v113(constB13)) | (~v126(constB13)))))) | v112(constB13) | ((~v113(constB13)) | (~v126(constB13)))),
% 7.01/4.98 inference(tautology,[status(thm)],[])).
% 7.01/4.98 tff(4451,plain,
% 7.01/4.98 (v112(constB13)),
% 7.01/4.98 inference(unit_resolution,[status(thm)],[4450, 4449, 4423])).
% 7.01/4.98 tff(4452,plain,
% 7.01/4.98 ((v111(constB13) | v112(constB13)) | (~v112(constB13))),
% 7.01/4.98 inference(tautology,[status(thm)],[])).
% 7.01/4.98 tff(4453,plain,
% 7.01/4.98 (v111(constB13) | v112(constB13)),
% 7.01/4.98 inference(unit_resolution,[status(thm)],[4452, 4451])).
% 7.01/4.98 tff(4454,plain,
% 7.01/4.98 ((~(v108(constB13) <=> (v111(constB13) | v112(constB13)))) | v108(constB13) | (~(v111(constB13) | v112(constB13)))),
% 7.01/4.98 inference(tautology,[status(thm)],[])).
% 7.01/4.98 tff(4455,plain,
% 7.01/4.98 (v108(constB13)),
% 7.01/4.98 inference(unit_resolution,[status(thm)],[4454, 4453, 4421])).
% 7.01/4.98 tff(4456,plain,
% 7.01/4.98 ((~(v110(constB14) <=> v108(constB13))) | v110(constB14) | (~v108(constB13))),
% 7.01/4.98 inference(tautology,[status(thm)],[])).
% 7.01/4.98 tff(4457,plain,
% 7.01/4.98 (v110(constB14)),
% 7.01/4.98 inference(unit_resolution,[status(thm)],[4456, 4455, 4419])).
% 7.01/4.98 tff(4458,plain,
% 7.01/4.98 ((~((~v101(constB14)) | (~v110(constB14)))) | (~v101(constB14)) | (~v110(constB14))),
% 7.01/4.98 inference(tautology,[status(thm)],[])).
% 7.01/4.98 tff(4459,plain,
% 7.01/4.98 (~((~v101(constB14)) | (~v110(constB14)))),
% 7.01/4.98 inference(unit_resolution,[status(thm)],[4458, 4457, 4415])).
% 7.01/4.98 tff(4460,plain,
% 7.01/4.98 ((~(v100(constB14) <=> (~((~v101(constB14)) | (~v110(constB14)))))) | v100(constB14) | ((~v101(constB14)) | (~v110(constB14)))),
% 7.01/4.98 inference(tautology,[status(thm)],[])).
% 7.01/4.98 tff(4461,plain,
% 7.01/4.98 (v100(constB14)),
% 7.01/4.98 inference(unit_resolution,[status(thm)],[4460, 4459, 4387])).
% 7.01/4.98 tff(4462,plain,
% 7.01/4.98 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB14)) | (~(((~v90(constB14, bitIndex0)) <=> v129(constB14, bitIndex0)) | ((~v90(constB14, bitIndex2)) <=> v129(constB14, bitIndex2)) | ((~v90(constB14, bitIndex1)) <=> v129(constB14, bitIndex1)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB14)) | (~(((~v90(constB14, bitIndex0)) <=> v129(constB14, bitIndex0)) | ((~v90(constB14, bitIndex2)) <=> v129(constB14, bitIndex2)) | ((~v90(constB14, bitIndex1)) <=> v129(constB14, bitIndex1)))))),
% 7.01/4.98 inference(rewrite,[status(thm)],[])).
% 7.01/4.98 tff(4463,plain,
% 7.01/4.98 (((~v100(constB14)) | (~(((~v90(constB14, bitIndex2)) <=> v129(constB14, bitIndex2)) | ((~v90(constB14, bitIndex1)) <=> v129(constB14, bitIndex1)) | ((~v90(constB14, bitIndex0)) <=> v129(constB14, bitIndex0))))) <=> ((~v100(constB14)) | (~(((~v90(constB14, bitIndex0)) <=> v129(constB14, bitIndex0)) | ((~v90(constB14, bitIndex2)) <=> v129(constB14, bitIndex2)) | ((~v90(constB14, bitIndex1)) <=> v129(constB14, bitIndex1)))))),
% 7.01/4.98 inference(rewrite,[status(thm)],[])).
% 7.01/4.98 tff(4464,plain,
% 7.01/4.98 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB14)) | (~(((~v90(constB14, bitIndex2)) <=> v129(constB14, bitIndex2)) | ((~v90(constB14, bitIndex1)) <=> v129(constB14, bitIndex1)) | ((~v90(constB14, bitIndex0)) <=> v129(constB14, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB14)) | (~(((~v90(constB14, bitIndex0)) <=> v129(constB14, bitIndex0)) | ((~v90(constB14, bitIndex2)) <=> v129(constB14, bitIndex2)) | ((~v90(constB14, bitIndex1)) <=> v129(constB14, bitIndex1))))))),
% 7.01/4.98 inference(monotonicity,[status(thm)],[4463])).
% 7.01/4.98 tff(4465,plain,
% 7.01/4.98 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB14)) | (~(((~v90(constB14, bitIndex2)) <=> v129(constB14, bitIndex2)) | ((~v90(constB14, bitIndex1)) <=> v129(constB14, bitIndex1)) | ((~v90(constB14, bitIndex0)) <=> v129(constB14, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB14)) | (~(((~v90(constB14, bitIndex0)) <=> v129(constB14, bitIndex0)) | ((~v90(constB14, bitIndex2)) <=> v129(constB14, bitIndex2)) | ((~v90(constB14, bitIndex1)) <=> v129(constB14, bitIndex1)))))),
% 7.01/4.98 inference(transitivity,[status(thm)],[4464, 4462])).
% 7.01/4.98 tff(4466,plain,
% 7.01/4.98 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB14)) | (~(((~v90(constB14, bitIndex2)) <=> v129(constB14, bitIndex2)) | ((~v90(constB14, bitIndex1)) <=> v129(constB14, bitIndex1)) | ((~v90(constB14, bitIndex0)) <=> v129(constB14, bitIndex0)))))),
% 7.01/4.98 inference(quant_inst,[status(thm)],[])).
% 7.01/4.98 tff(4467,plain,
% 7.01/4.98 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB14)) | (~(((~v90(constB14, bitIndex0)) <=> v129(constB14, bitIndex0)) | ((~v90(constB14, bitIndex2)) <=> v129(constB14, bitIndex2)) | ((~v90(constB14, bitIndex1)) <=> v129(constB14, bitIndex1))))),
% 7.01/4.98 inference(modus_ponens,[status(thm)],[4466, 4465])).
% 7.01/4.98 tff(4468,plain,
% 7.01/4.98 ((~v100(constB14)) | (~(((~v90(constB14, bitIndex0)) <=> v129(constB14, bitIndex0)) | ((~v90(constB14, bitIndex2)) <=> v129(constB14, bitIndex2)) | ((~v90(constB14, bitIndex1)) <=> v129(constB14, bitIndex1))))),
% 7.01/4.98 inference(unit_resolution,[status(thm)],[4467, 3429])).
% 7.01/4.98 tff(4469,plain,
% 7.01/4.98 (~(((~v90(constB14, bitIndex0)) <=> v129(constB14, bitIndex0)) | ((~v90(constB14, bitIndex2)) <=> v129(constB14, bitIndex2)) | ((~v90(constB14, bitIndex1)) <=> v129(constB14, bitIndex1)))),
% 7.01/4.98 inference(unit_resolution,[status(thm)],[4468, 4461])).
% 7.01/4.98 tff(4470,plain,
% 7.01/4.98 ((((~v90(constB14, bitIndex0)) <=> v129(constB14, bitIndex0)) | ((~v90(constB14, bitIndex2)) <=> v129(constB14, bitIndex2)) | ((~v90(constB14, bitIndex1)) <=> v129(constB14, bitIndex1))) | (~((~v90(constB14, bitIndex0)) <=> v129(constB14, bitIndex0)))),
% 7.01/4.98 inference(tautology,[status(thm)],[])).
% 7.01/4.98 tff(4471,plain,
% 7.01/4.98 (~((~v90(constB14, bitIndex0)) <=> v129(constB14, bitIndex0))),
% 7.01/4.98 inference(unit_resolution,[status(thm)],[4470, 4469])).
% 7.01/4.98 tff(4472,plain,
% 7.01/4.98 (((~v90(constB14, bitIndex0)) <=> v129(constB14, bitIndex0)) | (~v90(constB14, bitIndex0)) | v129(constB14, bitIndex0)),
% 7.01/4.98 inference(tautology,[status(thm)],[])).
% 7.01/4.98 tff(4473,plain,
% 7.01/4.98 (~v90(constB14, bitIndex0)),
% 7.01/4.98 inference(unit_resolution,[status(thm)],[4472, 4471, 4383])).
% 7.01/4.98 tff(4474,plain,
% 7.01/4.98 (((~v90(constB15, bitIndex0)) <=> v90(constB14, bitIndex0)) | (~v90(constB15, bitIndex0)) | v90(constB14, bitIndex0)),
% 7.01/4.98 inference(tautology,[status(thm)],[])).
% 7.01/4.98 tff(4475,plain,
% 7.01/4.98 (~v90(constB15, bitIndex0)),
% 7.01/4.98 inference(unit_resolution,[status(thm)],[4474, 4473, 2723])).
% 7.01/4.98 tff(4476,plain,
% 7.01/4.98 ((v90(constB15, bitIndex1) | v90(constB15, bitIndex2) | (~v90(constB15, bitIndex0))) | v90(constB15, bitIndex0)),
% 7.01/4.98 inference(tautology,[status(thm)],[])).
% 7.01/4.98 tff(4477,plain,
% 7.01/4.98 (v90(constB15, bitIndex1) | v90(constB15, bitIndex2) | (~v90(constB15, bitIndex0))),
% 7.01/4.98 inference(unit_resolution,[status(thm)],[4476, 4475])).
% 7.01/4.98 tff(4478,plain,
% 7.01/4.98 ((~(v120(constB15) <=> (~(v90(constB15, bitIndex1) | v90(constB15, bitIndex2) | (~v90(constB15, bitIndex0)))))) | (~v120(constB15)) | (~(v90(constB15, bitIndex1) | v90(constB15, bitIndex2) | (~v90(constB15, bitIndex0))))),
% 7.01/4.98 inference(tautology,[status(thm)],[])).
% 7.01/4.98 tff(4479,plain,
% 7.01/4.98 (~v120(constB15)),
% 7.01/4.98 inference(unit_resolution,[status(thm)],[4478, 4477, 2687])).
% 7.01/4.98 tff(4480,plain,
% 7.01/4.98 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB15) <=> (~(v90(constB15, bitIndex1) | (~v90(constB15, bitIndex2)) | (~v90(constB15, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB15) <=> (~(v90(constB15, bitIndex1) | (~v90(constB15, bitIndex2)) | (~v90(constB15, bitIndex0))))))),
% 7.01/4.98 inference(rewrite,[status(thm)],[])).
% 7.01/4.98 tff(4481,plain,
% 7.01/4.98 ((v124(constB15) <=> (~(v90(constB15, bitIndex1) | (~v90(constB15, bitIndex0)) | (~v90(constB15, bitIndex2))))) <=> (v124(constB15) <=> (~(v90(constB15, bitIndex1) | (~v90(constB15, bitIndex2)) | (~v90(constB15, bitIndex0)))))),
% 7.01/4.98 inference(rewrite,[status(thm)],[])).
% 7.01/4.98 tff(4482,plain,
% 7.01/4.98 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB15) <=> (~(v90(constB15, bitIndex1) | (~v90(constB15, bitIndex0)) | (~v90(constB15, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB15) <=> (~(v90(constB15, bitIndex1) | (~v90(constB15, bitIndex2)) | (~v90(constB15, bitIndex0))))))),
% 7.01/4.98 inference(monotonicity,[status(thm)],[4481])).
% 7.01/4.98 tff(4483,plain,
% 7.01/4.98 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB15) <=> (~(v90(constB15, bitIndex1) | (~v90(constB15, bitIndex0)) | (~v90(constB15, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB15) <=> (~(v90(constB15, bitIndex1) | (~v90(constB15, bitIndex2)) | (~v90(constB15, bitIndex0))))))),
% 7.01/4.98 inference(transitivity,[status(thm)],[4482, 4480])).
% 7.01/4.98 tff(4484,plain,
% 7.01/4.98 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB15) <=> (~(v90(constB15, bitIndex1) | (~v90(constB15, bitIndex0)) | (~v90(constB15, bitIndex2)))))),
% 7.01/4.98 inference(quant_inst,[status(thm)],[])).
% 7.01/4.98 tff(4485,plain,
% 7.01/4.98 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB15) <=> (~(v90(constB15, bitIndex1) | (~v90(constB15, bitIndex2)) | (~v90(constB15, bitIndex0)))))),
% 7.01/4.98 inference(modus_ponens,[status(thm)],[4484, 4483])).
% 7.01/4.98 tff(4486,plain,
% 7.01/4.98 (v124(constB15) <=> (~(v90(constB15, bitIndex1) | (~v90(constB15, bitIndex2)) | (~v90(constB15, bitIndex0))))),
% 7.01/4.98 inference(unit_resolution,[status(thm)],[4485, 3613])).
% 7.01/4.98 tff(4487,plain,
% 7.01/4.98 ((v90(constB15, bitIndex1) | (~v90(constB15, bitIndex2)) | (~v90(constB15, bitIndex0))) | v90(constB15, bitIndex0)),
% 7.01/4.98 inference(tautology,[status(thm)],[])).
% 7.01/4.98 tff(4488,plain,
% 7.01/4.98 (v90(constB15, bitIndex1) | (~v90(constB15, bitIndex2)) | (~v90(constB15, bitIndex0))),
% 7.01/4.98 inference(unit_resolution,[status(thm)],[4487, 4475])).
% 7.01/4.98 tff(4489,plain,
% 7.01/4.98 ((~(v124(constB15) <=> (~(v90(constB15, bitIndex1) | (~v90(constB15, bitIndex2)) | (~v90(constB15, bitIndex0)))))) | (~v124(constB15)) | (~(v90(constB15, bitIndex1) | (~v90(constB15, bitIndex2)) | (~v90(constB15, bitIndex0))))),
% 7.01/4.98 inference(tautology,[status(thm)],[])).
% 7.01/4.98 tff(4490,plain,
% 7.01/4.98 (~v124(constB15)),
% 7.01/4.98 inference(unit_resolution,[status(thm)],[4489, 4488, 4486])).
% 7.01/4.98 tff(4491,plain,
% 7.01/4.98 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB15) <=> (~(v90(constB15, bitIndex1) | v90(constB15, bitIndex0) | (~v90(constB15, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB15) <=> (~(v90(constB15, bitIndex1) | v90(constB15, bitIndex0) | (~v90(constB15, bitIndex2))))))),
% 7.01/4.98 inference(rewrite,[status(thm)],[])).
% 7.01/4.98 tff(4492,plain,
% 7.01/4.98 ((v123(constB15) <=> (~(v90(constB15, bitIndex0) | v90(constB15, bitIndex1) | (~v90(constB15, bitIndex2))))) <=> (v123(constB15) <=> (~(v90(constB15, bitIndex1) | v90(constB15, bitIndex0) | (~v90(constB15, bitIndex2)))))),
% 7.01/4.98 inference(rewrite,[status(thm)],[])).
% 7.01/4.98 tff(4493,plain,
% 7.01/4.98 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB15) <=> (~(v90(constB15, bitIndex0) | v90(constB15, bitIndex1) | (~v90(constB15, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB15) <=> (~(v90(constB15, bitIndex1) | v90(constB15, bitIndex0) | (~v90(constB15, bitIndex2))))))),
% 7.01/4.98 inference(monotonicity,[status(thm)],[4492])).
% 7.01/4.98 tff(4494,plain,
% 7.01/4.98 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB15) <=> (~(v90(constB15, bitIndex0) | v90(constB15, bitIndex1) | (~v90(constB15, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB15) <=> (~(v90(constB15, bitIndex1) | v90(constB15, bitIndex0) | (~v90(constB15, bitIndex2))))))),
% 7.01/4.98 inference(transitivity,[status(thm)],[4493, 4491])).
% 7.01/4.98 tff(4495,plain,
% 7.01/4.98 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB15) <=> (~(v90(constB15, bitIndex0) | v90(constB15, bitIndex1) | (~v90(constB15, bitIndex2)))))),
% 7.01/4.98 inference(quant_inst,[status(thm)],[])).
% 7.01/4.98 tff(4496,plain,
% 7.01/4.98 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB15) <=> (~(v90(constB15, bitIndex1) | v90(constB15, bitIndex0) | (~v90(constB15, bitIndex2)))))),
% 7.01/4.98 inference(modus_ponens,[status(thm)],[4495, 4494])).
% 7.01/4.98 tff(4497,plain,
% 7.01/4.98 (v123(constB15) <=> (~(v90(constB15, bitIndex1) | v90(constB15, bitIndex0) | (~v90(constB15, bitIndex2))))),
% 7.01/4.98 inference(unit_resolution,[status(thm)],[4496, 800])).
% 7.01/4.98 tff(4498,plain,
% 7.01/4.98 ((((~v90(constB15, bitIndex1)) <=> v90(constB14, bitIndex1)) | ((~v90(constB15, bitIndex2)) <=> v90(constB14, bitIndex2)) | ((~v90(constB15, bitIndex0)) <=> v90(constB14, bitIndex0))) | (~((~v90(constB15, bitIndex1)) <=> v90(constB14, bitIndex1)))),
% 7.01/4.98 inference(tautology,[status(thm)],[])).
% 7.01/4.98 tff(4499,plain,
% 7.01/4.98 (~((~v90(constB15, bitIndex1)) <=> v90(constB14, bitIndex1))),
% 7.01/4.98 inference(unit_resolution,[status(thm)],[4498, 2721])).
% 7.01/4.98 tff(4500,plain,
% 7.01/4.98 ((((~v129(constB14, bitIndex2)) <=> v127(constB13, bitIndex2)) | ((~v129(constB14, bitIndex1)) <=> v127(constB13, bitIndex1)) | ((~v129(constB14, bitIndex0)) <=> v127(constB13, bitIndex0))) | (~((~v129(constB14, bitIndex1)) <=> v127(constB13, bitIndex1)))),
% 7.01/4.98 inference(tautology,[status(thm)],[])).
% 7.01/4.98 tff(4501,plain,
% 7.01/4.98 (~((~v129(constB14, bitIndex1)) <=> v127(constB13, bitIndex1))),
% 7.01/4.98 inference(unit_resolution,[status(thm)],[4500, 2730])).
% 7.01/4.98 tff(4502,plain,
% 7.01/4.98 ((((~v127(constB13, bitIndex2)) <=> v130(constB13, bitIndex2)) | ((~v127(constB13, bitIndex1)) <=> v130(constB13, bitIndex1)) | ((~v127(constB13, bitIndex0)) <=> v130(constB13, bitIndex0))) | (~((~v127(constB13, bitIndex1)) <=> v130(constB13, bitIndex1)))),
% 7.01/4.98 inference(tautology,[status(thm)],[])).
% 7.01/4.98 tff(4503,plain,
% 7.01/4.98 (~((~v127(constB13, bitIndex1)) <=> v130(constB13, bitIndex1))),
% 7.01/4.98 inference(unit_resolution,[status(thm)],[4502, 2744])).
% 7.01/4.98 tff(4504,plain,
% 7.01/4.98 ((v130(constB13, bitIndex0) | (~v130(constB13, bitIndex2)) | (~v130(constB13, bitIndex1))) | v130(constB13, bitIndex1)),
% 7.01/4.98 inference(tautology,[status(thm)],[])).
% 7.01/4.98 tff(4505,plain,
% 7.01/4.98 (v130(constB13, bitIndex1)),
% 7.01/4.98 inference(unit_resolution,[status(thm)],[4504, 4377])).
% 7.01/4.98 tff(4506,plain,
% 7.01/4.98 (((~v127(constB13, bitIndex1)) <=> v130(constB13, bitIndex1)) | v127(constB13, bitIndex1) | (~v130(constB13, bitIndex1))),
% 7.01/4.98 inference(tautology,[status(thm)],[])).
% 7.01/4.98 tff(4507,plain,
% 7.01/4.98 (v127(constB13, bitIndex1)),
% 7.01/4.98 inference(unit_resolution,[status(thm)],[4506, 4505, 4503])).
% 7.01/4.98 tff(4508,plain,
% 7.01/4.98 (((~v129(constB14, bitIndex1)) <=> v127(constB13, bitIndex1)) | v129(constB14, bitIndex1) | (~v127(constB13, bitIndex1))),
% 7.01/4.98 inference(tautology,[status(thm)],[])).
% 7.01/4.98 tff(4509,plain,
% 7.01/4.98 (v129(constB14, bitIndex1)),
% 7.01/4.98 inference(unit_resolution,[status(thm)],[4508, 4507, 4501])).
% 7.01/4.98 tff(4510,plain,
% 7.01/4.98 ((((~v90(constB14, bitIndex0)) <=> v129(constB14, bitIndex0)) | ((~v90(constB14, bitIndex2)) <=> v129(constB14, bitIndex2)) | ((~v90(constB14, bitIndex1)) <=> v129(constB14, bitIndex1))) | (~((~v90(constB14, bitIndex1)) <=> v129(constB14, bitIndex1)))),
% 7.01/4.98 inference(tautology,[status(thm)],[])).
% 7.01/4.98 tff(4511,plain,
% 7.01/4.98 (~((~v90(constB14, bitIndex1)) <=> v129(constB14, bitIndex1))),
% 7.01/4.98 inference(unit_resolution,[status(thm)],[4510, 4469])).
% 7.01/4.98 tff(4512,plain,
% 7.01/4.98 (((~v90(constB14, bitIndex1)) <=> v129(constB14, bitIndex1)) | v90(constB14, bitIndex1) | (~v129(constB14, bitIndex1))),
% 7.01/4.98 inference(tautology,[status(thm)],[])).
% 7.01/4.98 tff(4513,plain,
% 7.01/4.98 (v90(constB14, bitIndex1)),
% 7.01/4.98 inference(unit_resolution,[status(thm)],[4512, 4511, 4509])).
% 7.01/4.98 tff(4514,plain,
% 7.01/4.98 (((~v90(constB15, bitIndex1)) <=> v90(constB14, bitIndex1)) | v90(constB15, bitIndex1) | (~v90(constB14, bitIndex1))),
% 7.01/4.98 inference(tautology,[status(thm)],[])).
% 7.01/4.98 tff(4515,plain,
% 7.01/4.98 (v90(constB15, bitIndex1)),
% 7.01/4.98 inference(unit_resolution,[status(thm)],[4514, 4513, 4499])).
% 7.01/4.98 tff(4516,plain,
% 7.01/4.98 ((v90(constB15, bitIndex1) | v90(constB15, bitIndex0) | (~v90(constB15, bitIndex2))) | (~v90(constB15, bitIndex1))),
% 7.01/4.98 inference(tautology,[status(thm)],[])).
% 7.01/4.98 tff(4517,plain,
% 7.01/4.98 (v90(constB15, bitIndex1) | v90(constB15, bitIndex0) | (~v90(constB15, bitIndex2))),
% 7.01/4.98 inference(unit_resolution,[status(thm)],[4516, 4515])).
% 7.01/4.98 tff(4518,plain,
% 7.01/4.98 ((~(v123(constB15) <=> (~(v90(constB15, bitIndex1) | v90(constB15, bitIndex0) | (~v90(constB15, bitIndex2)))))) | (~v123(constB15)) | (~(v90(constB15, bitIndex1) | v90(constB15, bitIndex0) | (~v90(constB15, bitIndex2))))),
% 7.01/4.98 inference(tautology,[status(thm)],[])).
% 7.01/4.98 tff(4519,plain,
% 7.01/4.98 (~v123(constB15)),
% 7.01/4.98 inference(unit_resolution,[status(thm)],[4518, 4517, 4497])).
% 7.01/4.98 tff(4520,plain,
% 7.01/4.98 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB15) <=> (~(v90(constB15, bitIndex2) | (~v90(constB15, bitIndex1)) | (~v90(constB15, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB15) <=> (~(v90(constB15, bitIndex2) | (~v90(constB15, bitIndex1)) | (~v90(constB15, bitIndex0))))))),
% 7.01/4.98 inference(rewrite,[status(thm)],[])).
% 7.01/4.98 tff(4521,plain,
% 7.01/4.98 ((v122(constB15) <=> (~(v90(constB15, bitIndex2) | (~v90(constB15, bitIndex0)) | (~v90(constB15, bitIndex1))))) <=> (v122(constB15) <=> (~(v90(constB15, bitIndex2) | (~v90(constB15, bitIndex1)) | (~v90(constB15, bitIndex0)))))),
% 7.01/4.98 inference(rewrite,[status(thm)],[])).
% 7.01/4.98 tff(4522,plain,
% 7.01/4.98 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB15) <=> (~(v90(constB15, bitIndex2) | (~v90(constB15, bitIndex0)) | (~v90(constB15, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB15) <=> (~(v90(constB15, bitIndex2) | (~v90(constB15, bitIndex1)) | (~v90(constB15, bitIndex0))))))),
% 7.01/4.98 inference(monotonicity,[status(thm)],[4521])).
% 7.01/4.98 tff(4523,plain,
% 7.01/4.98 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB15) <=> (~(v90(constB15, bitIndex2) | (~v90(constB15, bitIndex0)) | (~v90(constB15, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB15) <=> (~(v90(constB15, bitIndex2) | (~v90(constB15, bitIndex1)) | (~v90(constB15, bitIndex0))))))),
% 7.01/4.99 inference(transitivity,[status(thm)],[4522, 4520])).
% 7.01/4.99 tff(4524,plain,
% 7.01/4.99 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB15) <=> (~(v90(constB15, bitIndex2) | (~v90(constB15, bitIndex0)) | (~v90(constB15, bitIndex1)))))),
% 7.01/4.99 inference(quant_inst,[status(thm)],[])).
% 7.01/4.99 tff(4525,plain,
% 7.01/4.99 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB15) <=> (~(v90(constB15, bitIndex2) | (~v90(constB15, bitIndex1)) | (~v90(constB15, bitIndex0)))))),
% 7.01/4.99 inference(modus_ponens,[status(thm)],[4524, 4523])).
% 7.01/4.99 tff(4526,plain,
% 7.01/4.99 (v122(constB15) <=> (~(v90(constB15, bitIndex2) | (~v90(constB15, bitIndex1)) | (~v90(constB15, bitIndex0))))),
% 7.01/4.99 inference(unit_resolution,[status(thm)],[4525, 879])).
% 7.01/4.99 tff(4527,plain,
% 7.01/4.99 ((v90(constB15, bitIndex2) | (~v90(constB15, bitIndex1)) | (~v90(constB15, bitIndex0))) | v90(constB15, bitIndex0)),
% 7.01/4.99 inference(tautology,[status(thm)],[])).
% 7.01/4.99 tff(4528,plain,
% 7.01/4.99 (v90(constB15, bitIndex2) | (~v90(constB15, bitIndex1)) | (~v90(constB15, bitIndex0))),
% 7.01/4.99 inference(unit_resolution,[status(thm)],[4527, 4475])).
% 7.01/4.99 tff(4529,plain,
% 7.01/4.99 ((~(v122(constB15) <=> (~(v90(constB15, bitIndex2) | (~v90(constB15, bitIndex1)) | (~v90(constB15, bitIndex0)))))) | (~v122(constB15)) | (~(v90(constB15, bitIndex2) | (~v90(constB15, bitIndex1)) | (~v90(constB15, bitIndex0))))),
% 7.01/4.99 inference(tautology,[status(thm)],[])).
% 7.01/4.99 tff(4530,plain,
% 7.01/4.99 (~v122(constB15)),
% 7.01/4.99 inference(unit_resolution,[status(thm)],[4529, 4528, 4526])).
% 7.01/4.99 tff(4531,plain,
% 7.01/4.99 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB15) <=> (~(v90(constB15, bitIndex2) | v90(constB15, bitIndex0) | (~v90(constB15, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB15) <=> (~(v90(constB15, bitIndex2) | v90(constB15, bitIndex0) | (~v90(constB15, bitIndex1))))))),
% 7.01/4.99 inference(rewrite,[status(thm)],[])).
% 7.01/4.99 tff(4532,plain,
% 7.01/4.99 ((v121(constB15) <=> (~(v90(constB15, bitIndex0) | v90(constB15, bitIndex2) | (~v90(constB15, bitIndex1))))) <=> (v121(constB15) <=> (~(v90(constB15, bitIndex2) | v90(constB15, bitIndex0) | (~v90(constB15, bitIndex1)))))),
% 7.01/4.99 inference(rewrite,[status(thm)],[])).
% 7.01/4.99 tff(4533,plain,
% 7.01/4.99 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB15) <=> (~(v90(constB15, bitIndex0) | v90(constB15, bitIndex2) | (~v90(constB15, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB15) <=> (~(v90(constB15, bitIndex2) | v90(constB15, bitIndex0) | (~v90(constB15, bitIndex1))))))),
% 7.01/4.99 inference(monotonicity,[status(thm)],[4532])).
% 7.01/4.99 tff(4534,plain,
% 7.01/4.99 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB15) <=> (~(v90(constB15, bitIndex0) | v90(constB15, bitIndex2) | (~v90(constB15, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB15) <=> (~(v90(constB15, bitIndex2) | v90(constB15, bitIndex0) | (~v90(constB15, bitIndex1))))))),
% 7.01/4.99 inference(transitivity,[status(thm)],[4533, 4531])).
% 7.01/4.99 tff(4535,plain,
% 7.01/4.99 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB15) <=> (~(v90(constB15, bitIndex0) | v90(constB15, bitIndex2) | (~v90(constB15, bitIndex1)))))),
% 7.01/4.99 inference(quant_inst,[status(thm)],[])).
% 7.01/4.99 tff(4536,plain,
% 7.01/4.99 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB15) <=> (~(v90(constB15, bitIndex2) | v90(constB15, bitIndex0) | (~v90(constB15, bitIndex1)))))),
% 7.01/4.99 inference(modus_ponens,[status(thm)],[4535, 4534])).
% 7.01/4.99 tff(4537,plain,
% 7.01/4.99 (v121(constB15) <=> (~(v90(constB15, bitIndex2) | v90(constB15, bitIndex0) | (~v90(constB15, bitIndex1))))),
% 7.01/4.99 inference(unit_resolution,[status(thm)],[4536, 586])).
% 7.01/4.99 tff(4538,plain,
% 7.01/4.99 ((((~v90(constB15, bitIndex1)) <=> v90(constB14, bitIndex1)) | ((~v90(constB15, bitIndex2)) <=> v90(constB14, bitIndex2)) | ((~v90(constB15, bitIndex0)) <=> v90(constB14, bitIndex0))) | (~((~v90(constB15, bitIndex2)) <=> v90(constB14, bitIndex2)))),
% 7.01/4.99 inference(tautology,[status(thm)],[])).
% 7.01/4.99 tff(4539,plain,
% 7.01/4.99 (~((~v90(constB15, bitIndex2)) <=> v90(constB14, bitIndex2))),
% 7.01/4.99 inference(unit_resolution,[status(thm)],[4538, 2721])).
% 7.01/4.99 tff(4540,plain,
% 7.01/4.99 ((((~v129(constB14, bitIndex2)) <=> v127(constB13, bitIndex2)) | ((~v129(constB14, bitIndex1)) <=> v127(constB13, bitIndex1)) | ((~v129(constB14, bitIndex0)) <=> v127(constB13, bitIndex0))) | (~((~v129(constB14, bitIndex2)) <=> v127(constB13, bitIndex2)))),
% 7.01/4.99 inference(tautology,[status(thm)],[])).
% 7.01/4.99 tff(4541,plain,
% 7.01/4.99 (~((~v129(constB14, bitIndex2)) <=> v127(constB13, bitIndex2))),
% 7.01/4.99 inference(unit_resolution,[status(thm)],[4540, 2730])).
% 7.01/4.99 tff(4542,plain,
% 7.01/4.99 ((((~v127(constB13, bitIndex2)) <=> v130(constB13, bitIndex2)) | ((~v127(constB13, bitIndex1)) <=> v130(constB13, bitIndex1)) | ((~v127(constB13, bitIndex0)) <=> v130(constB13, bitIndex0))) | (~((~v127(constB13, bitIndex2)) <=> v130(constB13, bitIndex2)))),
% 7.01/4.99 inference(tautology,[status(thm)],[])).
% 7.01/4.99 tff(4543,plain,
% 7.01/4.99 (~((~v127(constB13, bitIndex2)) <=> v130(constB13, bitIndex2))),
% 7.01/4.99 inference(unit_resolution,[status(thm)],[4542, 2744])).
% 7.01/4.99 tff(4544,plain,
% 7.01/4.99 ((v130(constB13, bitIndex0) | (~v130(constB13, bitIndex2)) | (~v130(constB13, bitIndex1))) | v130(constB13, bitIndex2)),
% 7.01/4.99 inference(tautology,[status(thm)],[])).
% 7.01/4.99 tff(4545,plain,
% 7.01/4.99 (v130(constB13, bitIndex2)),
% 7.01/4.99 inference(unit_resolution,[status(thm)],[4544, 4377])).
% 7.01/4.99 tff(4546,plain,
% 7.01/4.99 (((~v127(constB13, bitIndex2)) <=> v130(constB13, bitIndex2)) | v127(constB13, bitIndex2) | (~v130(constB13, bitIndex2))),
% 7.01/4.99 inference(tautology,[status(thm)],[])).
% 7.01/4.99 tff(4547,plain,
% 7.01/4.99 (v127(constB13, bitIndex2)),
% 7.01/4.99 inference(unit_resolution,[status(thm)],[4546, 4545, 4543])).
% 7.01/4.99 tff(4548,plain,
% 7.01/4.99 (((~v129(constB14, bitIndex2)) <=> v127(constB13, bitIndex2)) | v129(constB14, bitIndex2) | (~v127(constB13, bitIndex2))),
% 7.01/4.99 inference(tautology,[status(thm)],[])).
% 7.01/4.99 tff(4549,plain,
% 7.01/4.99 (v129(constB14, bitIndex2)),
% 7.01/4.99 inference(unit_resolution,[status(thm)],[4548, 4547, 4541])).
% 7.01/4.99 tff(4550,plain,
% 7.01/4.99 ((((~v90(constB14, bitIndex0)) <=> v129(constB14, bitIndex0)) | ((~v90(constB14, bitIndex2)) <=> v129(constB14, bitIndex2)) | ((~v90(constB14, bitIndex1)) <=> v129(constB14, bitIndex1))) | (~((~v90(constB14, bitIndex2)) <=> v129(constB14, bitIndex2)))),
% 7.01/4.99 inference(tautology,[status(thm)],[])).
% 7.01/4.99 tff(4551,plain,
% 7.01/4.99 (~((~v90(constB14, bitIndex2)) <=> v129(constB14, bitIndex2))),
% 7.01/4.99 inference(unit_resolution,[status(thm)],[4550, 4469])).
% 7.01/4.99 tff(4552,plain,
% 7.01/4.99 (((~v90(constB14, bitIndex2)) <=> v129(constB14, bitIndex2)) | v90(constB14, bitIndex2) | (~v129(constB14, bitIndex2))),
% 7.01/4.99 inference(tautology,[status(thm)],[])).
% 7.01/4.99 tff(4553,plain,
% 7.01/4.99 (v90(constB14, bitIndex2)),
% 7.01/4.99 inference(unit_resolution,[status(thm)],[4552, 4551, 4549])).
% 7.01/4.99 tff(4554,plain,
% 7.01/4.99 (((~v90(constB15, bitIndex2)) <=> v90(constB14, bitIndex2)) | v90(constB15, bitIndex2) | (~v90(constB14, bitIndex2))),
% 7.01/4.99 inference(tautology,[status(thm)],[])).
% 7.01/4.99 tff(4555,plain,
% 7.01/4.99 (v90(constB15, bitIndex2)),
% 7.01/4.99 inference(unit_resolution,[status(thm)],[4554, 4553, 4539])).
% 7.01/4.99 tff(4556,plain,
% 7.01/4.99 ((v90(constB15, bitIndex2) | v90(constB15, bitIndex0) | (~v90(constB15, bitIndex1))) | (~v90(constB15, bitIndex2))),
% 7.01/4.99 inference(tautology,[status(thm)],[])).
% 7.01/4.99 tff(4557,plain,
% 7.01/4.99 (v90(constB15, bitIndex2) | v90(constB15, bitIndex0) | (~v90(constB15, bitIndex1))),
% 7.01/4.99 inference(unit_resolution,[status(thm)],[4556, 4555])).
% 7.01/4.99 tff(4558,plain,
% 7.01/4.99 ((~(v121(constB15) <=> (~(v90(constB15, bitIndex2) | v90(constB15, bitIndex0) | (~v90(constB15, bitIndex1)))))) | (~v121(constB15)) | (~(v90(constB15, bitIndex2) | v90(constB15, bitIndex0) | (~v90(constB15, bitIndex1))))),
% 7.01/4.99 inference(tautology,[status(thm)],[])).
% 7.01/4.99 tff(4559,plain,
% 7.01/4.99 (~v121(constB15)),
% 7.01/4.99 inference(unit_resolution,[status(thm)],[4558, 4557, 4537])).
% 7.01/4.99 tff(4560,plain,
% 7.01/4.99 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB15) <=> (~(v90(constB15, bitIndex0) | v90(constB15, bitIndex1) | v90(constB15, bitIndex2))))),
% 7.01/4.99 inference(quant_inst,[status(thm)],[])).
% 7.01/4.99 tff(4561,plain,
% 7.01/4.99 (v119(constB15) <=> (~(v90(constB15, bitIndex0) | v90(constB15, bitIndex1) | v90(constB15, bitIndex2)))),
% 7.01/4.99 inference(unit_resolution,[status(thm)],[4560, 1085])).
% 7.01/4.99 tff(4562,plain,
% 7.01/4.99 ((v90(constB15, bitIndex0) | v90(constB15, bitIndex1) | v90(constB15, bitIndex2)) | (~v90(constB15, bitIndex2))),
% 7.01/4.99 inference(tautology,[status(thm)],[])).
% 7.01/4.99 tff(4563,plain,
% 7.01/4.99 (v90(constB15, bitIndex0) | v90(constB15, bitIndex1) | v90(constB15, bitIndex2)),
% 7.01/4.99 inference(unit_resolution,[status(thm)],[4562, 4555])).
% 7.01/4.99 tff(4564,plain,
% 7.01/4.99 ((~(v119(constB15) <=> (~(v90(constB15, bitIndex0) | v90(constB15, bitIndex1) | v90(constB15, bitIndex2))))) | (~v119(constB15)) | (~(v90(constB15, bitIndex0) | v90(constB15, bitIndex1) | v90(constB15, bitIndex2)))),
% 7.01/4.99 inference(tautology,[status(thm)],[])).
% 7.01/4.99 tff(4565,plain,
% 7.01/4.99 (~v119(constB15)),
% 7.01/4.99 inference(unit_resolution,[status(thm)],[4564, 4563, 4561])).
% 7.01/4.99 tff(4566,plain,
% 7.01/4.99 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v119(constB15) | v120(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15) | (~(v130(constB15, bitIndex2) | v130(constB15, bitIndex1) | (~v130(constB15, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | v119(constB15) | v120(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15) | (~(v130(constB15, bitIndex2) | v130(constB15, bitIndex1) | (~v130(constB15, bitIndex0)))))),
% 7.01/4.99 inference(rewrite,[status(thm)],[])).
% 7.01/4.99 tff(4567,plain,
% 7.01/4.99 ((v124(constB15) | v123(constB15) | v122(constB15) | v121(constB15) | v120(constB15) | v119(constB15) | (~(v130(constB15, bitIndex2) | v130(constB15, bitIndex1) | (~v130(constB15, bitIndex0))))) <=> (v119(constB15) | v120(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15) | (~(v130(constB15, bitIndex2) | v130(constB15, bitIndex1) | (~v130(constB15, bitIndex0)))))),
% 7.01/4.99 inference(rewrite,[status(thm)],[])).
% 7.01/4.99 tff(4568,plain,
% 7.01/4.99 ((~(v130(constB15, bitIndex1) | v130(constB15, bitIndex2) | (~v130(constB15, bitIndex0)))) <=> (~(v130(constB15, bitIndex2) | v130(constB15, bitIndex1) | (~v130(constB15, bitIndex0))))),
% 7.01/4.99 inference(rewrite,[status(thm)],[])).
% 7.01/4.99 tff(4569,plain,
% 7.01/4.99 ((v124(constB15) | v123(constB15) | v122(constB15) | v121(constB15) | v120(constB15) | v119(constB15) | (~(v130(constB15, bitIndex1) | v130(constB15, bitIndex2) | (~v130(constB15, bitIndex0))))) <=> (v124(constB15) | v123(constB15) | v122(constB15) | v121(constB15) | v120(constB15) | v119(constB15) | (~(v130(constB15, bitIndex2) | v130(constB15, bitIndex1) | (~v130(constB15, bitIndex0)))))),
% 7.01/4.99 inference(monotonicity,[status(thm)],[4568])).
% 7.01/4.99 tff(4570,plain,
% 7.01/4.99 ((v124(constB15) | v123(constB15) | v122(constB15) | v121(constB15) | v120(constB15) | v119(constB15) | (~(v130(constB15, bitIndex1) | v130(constB15, bitIndex2) | (~v130(constB15, bitIndex0))))) <=> (v119(constB15) | v120(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15) | (~(v130(constB15, bitIndex2) | v130(constB15, bitIndex1) | (~v130(constB15, bitIndex0)))))),
% 7.01/4.99 inference(transitivity,[status(thm)],[4569, 4567])).
% 7.01/4.99 tff(4571,plain,
% 7.01/4.99 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB15) | v123(constB15) | v122(constB15) | v121(constB15) | v120(constB15) | v119(constB15) | (~(v130(constB15, bitIndex1) | v130(constB15, bitIndex2) | (~v130(constB15, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v119(constB15) | v120(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15) | (~(v130(constB15, bitIndex2) | v130(constB15, bitIndex1) | (~v130(constB15, bitIndex0))))))),
% 7.01/4.99 inference(monotonicity,[status(thm)],[4570])).
% 7.01/4.99 tff(4572,plain,
% 7.01/4.99 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB15) | v123(constB15) | v122(constB15) | v121(constB15) | v120(constB15) | v119(constB15) | (~(v130(constB15, bitIndex1) | v130(constB15, bitIndex2) | (~v130(constB15, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | v119(constB15) | v120(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15) | (~(v130(constB15, bitIndex2) | v130(constB15, bitIndex1) | (~v130(constB15, bitIndex0)))))),
% 7.01/4.99 inference(transitivity,[status(thm)],[4571, 4566])).
% 7.01/4.99 tff(4573,plain,
% 7.01/4.99 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB15) | v123(constB15) | v122(constB15) | v121(constB15) | v120(constB15) | v119(constB15) | (~(v130(constB15, bitIndex1) | v130(constB15, bitIndex2) | (~v130(constB15, bitIndex0)))))),
% 7.01/4.99 inference(quant_inst,[status(thm)],[])).
% 7.01/4.99 tff(4574,plain,
% 7.01/4.99 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | v119(constB15) | v120(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15) | (~(v130(constB15, bitIndex2) | v130(constB15, bitIndex1) | (~v130(constB15, bitIndex0))))),
% 7.01/4.99 inference(modus_ponens,[status(thm)],[4573, 4572])).
% 7.01/4.99 tff(4575,plain,
% 7.01/4.99 (v119(constB15) | v120(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15) | (~(v130(constB15, bitIndex2) | v130(constB15, bitIndex1) | (~v130(constB15, bitIndex0))))),
% 7.01/4.99 inference(unit_resolution,[status(thm)],[4574, 3694])).
% 7.01/4.99 tff(4576,plain,
% 7.01/4.99 (~(v130(constB15, bitIndex2) | v130(constB15, bitIndex1) | (~v130(constB15, bitIndex0)))),
% 7.01/4.99 inference(unit_resolution,[status(thm)],[4575, 4565, 4559, 4530, 4519, 4490, 4479])).
% 7.01/4.99 tff(4577,plain,
% 7.01/4.99 ((v130(constB15, bitIndex2) | v130(constB15, bitIndex1) | (~v130(constB15, bitIndex0))) | (~v130(constB15, bitIndex2))),
% 7.01/4.99 inference(tautology,[status(thm)],[])).
% 7.01/4.99 tff(4578,plain,
% 7.01/4.99 (~v130(constB15, bitIndex2)),
% 7.01/4.99 inference(unit_resolution,[status(thm)],[4577, 4576])).
% 7.01/4.99 tff(4579,plain,
% 7.01/4.99 (((~v127(constB15, bitIndex2)) <=> v130(constB15, bitIndex2)) | (~v127(constB15, bitIndex2)) | v130(constB15, bitIndex2)),
% 7.01/4.99 inference(tautology,[status(thm)],[])).
% 7.01/4.99 tff(4580,plain,
% 7.01/4.99 (~v127(constB15, bitIndex2)),
% 7.01/4.99 inference(unit_resolution,[status(thm)],[4579, 4578, 2685])).
% 7.01/4.99 tff(4581,plain,
% 7.01/4.99 (((~v129(constB16, bitIndex2)) <=> v127(constB15, bitIndex2)) | (~v129(constB16, bitIndex2)) | v127(constB15, bitIndex2)),
% 7.01/4.99 inference(tautology,[status(thm)],[])).
% 7.01/4.99 tff(4582,plain,
% 7.01/4.99 (~v129(constB16, bitIndex2)),
% 7.01/4.99 inference(unit_resolution,[status(thm)],[4581, 4580, 2671])).
% 7.01/4.99 tff(4583,plain,
% 7.01/4.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB15, constB16)) | (v100(constB16) <=> (~((~v101(constB16)) | (~v110(constB16))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB15, constB16)) | (v100(constB16) <=> (~((~v101(constB16)) | (~v110(constB16))))))),
% 7.01/4.99 inference(rewrite,[status(thm)],[])).
% 7.01/4.99 tff(4584,plain,
% 7.01/4.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB15, constB16)) | (v100(constB16) <=> (~((~v101(constB16)) | (~v110(constB16))))))),
% 7.01/4.99 inference(quant_inst,[status(thm)],[])).
% 7.01/4.99 tff(4585,plain,
% 7.01/4.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB15, constB16)) | (v100(constB16) <=> (~((~v101(constB16)) | (~v110(constB16)))))),
% 7.01/4.99 inference(modus_ponens,[status(thm)],[4584, 4583])).
% 7.01/4.99 tff(4586,plain,
% 7.01/4.99 (v100(constB16) <=> (~((~v101(constB16)) | (~v110(constB16))))),
% 7.01/4.99 inference(unit_resolution,[status(thm)],[4585, 2665, 445])).
% 7.01/4.99 tff(4587,plain,
% 7.01/4.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB15, constB16)) | (v101(constB16) <=> (~((~v1(constB16)) | (~v102(constB16))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB15, constB16)) | (v101(constB16) <=> (~((~v1(constB16)) | (~v102(constB16))))))),
% 7.01/4.99 inference(rewrite,[status(thm)],[])).
% 7.01/4.99 tff(4588,plain,
% 7.01/4.99 (((~nextState(constB15, constB16)) | (v101(constB16) <=> (~((~v102(constB16)) | (~v1(constB16)))))) <=> ((~nextState(constB15, constB16)) | (v101(constB16) <=> (~((~v1(constB16)) | (~v102(constB16))))))),
% 7.01/4.99 inference(rewrite,[status(thm)],[])).
% 7.01/4.99 tff(4589,plain,
% 7.01/4.99 (((~![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) <=> (~((~v1(constB16)) | (~v102(constB16)))))))),
% 7.01/4.99 inference(monotonicity,[status(thm)],[4588])).
% 7.01/4.99 tff(4590,plain,
% 7.01/4.99 (((~![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) <=> (~((~v1(constB16)) | (~v102(constB16))))))),
% 7.01/4.99 inference(transitivity,[status(thm)],[4589, 4587])).
% 7.01/4.99 tff(4591,plain,
% 7.01/4.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB15, constB16)) | (v101(constB16) <=> (~((~v102(constB16)) | (~v1(constB16))))))),
% 7.01/4.99 inference(quant_inst,[status(thm)],[])).
% 7.01/4.99 tff(4592,plain,
% 7.01/4.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB15, constB16)) | (v101(constB16) <=> (~((~v1(constB16)) | (~v102(constB16)))))),
% 7.01/4.99 inference(modus_ponens,[status(thm)],[4591, 4590])).
% 7.01/4.99 tff(4593,plain,
% 7.01/4.99 (v101(constB16) <=> (~((~v1(constB16)) | (~v102(constB16))))),
% 7.01/4.99 inference(unit_resolution,[status(thm)],[4592, 2665, 465])).
% 7.01/4.99 tff(4594,plain,
% 7.01/4.99 (((~![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)))),
% 7.01/4.99 inference(rewrite,[status(thm)],[])).
% 7.01/4.99 tff(4595,plain,
% 7.01/4.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB15, constB16)) | ((~v102(constB16)) <=> v104(constB16)))),
% 7.01/4.99 inference(quant_inst,[status(thm)],[])).
% 7.01/4.99 tff(4596,plain,
% 7.01/4.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB15, constB16)) | ((~v102(constB16)) <=> v104(constB16))),
% 7.01/4.99 inference(modus_ponens,[status(thm)],[4595, 4594])).
% 7.01/4.99 tff(4597,plain,
% 7.01/4.99 ((~v102(constB16)) <=> v104(constB16)),
% 7.01/4.99 inference(unit_resolution,[status(thm)],[4596, 2665, 3244])).
% 7.01/4.99 tff(4598,plain,
% 7.01/4.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB15, constB16)) | (v104(constB16) <=> v1(constB15)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB15, constB16)) | (v104(constB16) <=> v1(constB15)))),
% 7.01/4.99 inference(rewrite,[status(thm)],[])).
% 7.01/4.99 tff(4599,plain,
% 7.01/4.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB15, constB16)) | (v104(constB16) <=> v1(constB15)))),
% 7.01/4.99 inference(quant_inst,[status(thm)],[])).
% 7.01/4.99 tff(4600,plain,
% 7.01/4.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB15, constB16)) | (v104(constB16) <=> v1(constB15))),
% 7.01/4.99 inference(modus_ponens,[status(thm)],[4599, 4598])).
% 7.01/4.99 tff(4601,plain,
% 7.01/4.99 (v104(constB16) <=> v1(constB15)),
% 7.01/4.99 inference(unit_resolution,[status(thm)],[4600, 2665, 3258])).
% 7.01/4.99 tff(4602,plain,
% 7.01/4.99 ((~(v104(constB16) <=> v1(constB15))) | (~v104(constB16)) | v1(constB15)),
% 7.01/4.99 inference(tautology,[status(thm)],[])).
% 7.01/4.99 tff(4603,plain,
% 7.01/4.99 ((~(v104(constB16) <=> v1(constB15))) | (~v104(constB16))),
% 7.01/4.99 inference(unit_resolution,[status(thm)],[4602, 2704])).
% 7.01/4.99 tff(4604,plain,
% 7.01/4.99 (~v104(constB16)),
% 7.01/4.99 inference(unit_resolution,[status(thm)],[4603, 4601])).
% 7.01/4.99 tff(4605,plain,
% 7.01/4.99 ((~((~v102(constB16)) <=> v104(constB16))) | v102(constB16) | v104(constB16)),
% 7.01/4.99 inference(tautology,[status(thm)],[])).
% 7.01/4.99 tff(4606,plain,
% 7.01/4.99 (v102(constB16)),
% 7.01/4.99 inference(unit_resolution,[status(thm)],[4605, 4604, 4597])).
% 7.01/4.99 tff(4607,plain,
% 7.01/4.99 (v1(constB16) <=> v1(constB16)),
% 7.01/4.99 inference(rewrite,[status(thm)],[])).
% 7.01/4.99 tff(4608,axiom,(v1(constB16)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_16')).
% 7.01/4.99 tff(4609,plain,
% 7.01/4.99 (v1(constB16)),
% 7.01/4.99 inference(modus_ponens,[status(thm)],[4608, 4607])).
% 7.01/4.99 tff(4610,plain,
% 7.01/4.99 ((~((~v1(constB16)) | (~v102(constB16)))) | (~v1(constB16)) | (~v102(constB16))),
% 7.01/4.99 inference(tautology,[status(thm)],[])).
% 7.01/4.99 tff(4611,plain,
% 7.01/4.99 ((~((~v1(constB16)) | (~v102(constB16)))) | (~v102(constB16))),
% 7.01/4.99 inference(unit_resolution,[status(thm)],[4610, 4609])).
% 7.01/4.99 tff(4612,plain,
% 7.01/4.99 (~((~v1(constB16)) | (~v102(constB16)))),
% 7.01/4.99 inference(unit_resolution,[status(thm)],[4611, 4606])).
% 7.01/4.99 tff(4613,plain,
% 7.01/4.99 ((~(v101(constB16) <=> (~((~v1(constB16)) | (~v102(constB16)))))) | v101(constB16) | ((~v1(constB16)) | (~v102(constB16)))),
% 7.01/4.99 inference(tautology,[status(thm)],[])).
% 7.01/4.99 tff(4614,plain,
% 7.01/4.99 (v101(constB16)),
% 7.01/4.99 inference(unit_resolution,[status(thm)],[4613, 4612, 4593])).
% 7.01/4.99 tff(4615,plain,
% 7.01/4.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB15, constB16)) | (v110(constB16) <=> v108(constB15)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB15, constB16)) | (v110(constB16) <=> v108(constB15)))),
% 7.01/4.99 inference(rewrite,[status(thm)],[])).
% 7.01/4.99 tff(4616,plain,
% 7.01/4.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB15, constB16)) | (v110(constB16) <=> v108(constB15)))),
% 7.01/4.99 inference(quant_inst,[status(thm)],[])).
% 7.01/4.99 tff(4617,plain,
% 7.01/4.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB15, constB16)) | (v110(constB16) <=> v108(constB15))),
% 7.01/4.99 inference(modus_ponens,[status(thm)],[4616, 4615])).
% 7.01/4.99 tff(4618,plain,
% 7.01/4.99 (v110(constB16) <=> v108(constB15)),
% 7.01/4.99 inference(unit_resolution,[status(thm)],[4617, 2665, 3285])).
% 7.01/4.99 tff(4619,plain,
% 7.01/4.99 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB15) <=> (v111(constB15) | v112(constB15)))),
% 7.01/4.99 inference(quant_inst,[status(thm)],[])).
% 7.01/4.99 tff(4620,plain,
% 7.01/4.99 (v108(constB15) <=> (v111(constB15) | v112(constB15))),
% 7.01/4.99 inference(unit_resolution,[status(thm)],[4619, 3296])).
% 7.01/4.99 tff(4621,plain,
% 7.01/4.99 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB15) <=> (~((~v113(constB15)) | (~v126(constB15)))))),
% 7.01/4.99 inference(quant_inst,[status(thm)],[])).
% 7.01/4.99 tff(4622,plain,
% 7.01/4.99 (v112(constB15) <=> (~((~v113(constB15)) | (~v126(constB15))))),
% 7.01/4.99 inference(unit_resolution,[status(thm)],[4621, 3308])).
% 7.01/4.99 tff(4623,plain,
% 7.01/4.99 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB15) <=> (v114(constB15) | v125(constB15)))),
% 7.01/4.99 inference(quant_inst,[status(thm)],[])).
% 7.01/4.99 tff(4624,plain,
% 7.01/4.99 (v113(constB15) <=> (v114(constB15) | v125(constB15))),
% 7.01/4.99 inference(unit_resolution,[status(thm)],[4623, 3317])).
% 7.01/4.99 tff(4625,plain,
% 7.01/4.99 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB15) <=> (~(v90(constB15, bitIndex0) | (~v90(constB15, bitIndex1)) | (~v90(constB15, bitIndex2)))))),
% 7.01/4.99 inference(quant_inst,[status(thm)],[])).
% 7.01/4.99 tff(4626,plain,
% 7.01/4.99 (v125(constB15) <=> (~(v90(constB15, bitIndex0) | (~v90(constB15, bitIndex1)) | (~v90(constB15, bitIndex2))))),
% 7.01/4.99 inference(unit_resolution,[status(thm)],[4625, 3766])).
% 7.01/4.99 tff(4627,plain,
% 7.01/4.99 ((~(v90(constB15, bitIndex0) | (~v90(constB15, bitIndex1)) | (~v90(constB15, bitIndex2)))) | v90(constB15, bitIndex0) | (~v90(constB15, bitIndex1)) | (~v90(constB15, bitIndex2))),
% 7.01/4.99 inference(tautology,[status(thm)],[])).
% 7.01/4.99 tff(4628,plain,
% 7.01/4.99 (~(v90(constB15, bitIndex0) | (~v90(constB15, bitIndex1)) | (~v90(constB15, bitIndex2)))),
% 7.01/4.99 inference(unit_resolution,[status(thm)],[4627, 4515, 4475, 4555])).
% 7.01/4.99 tff(4629,plain,
% 7.01/4.99 ((~(v125(constB15) <=> (~(v90(constB15, bitIndex0) | (~v90(constB15, bitIndex1)) | (~v90(constB15, bitIndex2)))))) | v125(constB15) | (v90(constB15, bitIndex0) | (~v90(constB15, bitIndex1)) | (~v90(constB15, bitIndex2)))),
% 7.01/4.99 inference(tautology,[status(thm)],[])).
% 7.01/4.99 tff(4630,plain,
% 7.01/4.99 (v125(constB15)),
% 7.01/4.99 inference(unit_resolution,[status(thm)],[4629, 4628, 4626])).
% 7.01/4.99 tff(4631,plain,
% 7.01/4.99 ((v114(constB15) | v125(constB15)) | (~v125(constB15))),
% 7.01/4.99 inference(tautology,[status(thm)],[])).
% 7.01/4.99 tff(4632,plain,
% 7.01/4.99 (v114(constB15) | v125(constB15)),
% 7.01/4.99 inference(unit_resolution,[status(thm)],[4631, 4630])).
% 7.01/4.99 tff(4633,plain,
% 7.01/4.99 ((~(v113(constB15) <=> (v114(constB15) | v125(constB15)))) | v113(constB15) | (~(v114(constB15) | v125(constB15)))),
% 7.01/4.99 inference(tautology,[status(thm)],[])).
% 7.01/4.99 tff(4634,plain,
% 7.01/4.99 (v113(constB15)),
% 7.01/4.99 inference(unit_resolution,[status(thm)],[4633, 4632, 4624])).
% 7.01/4.99 tff(4635,plain,
% 7.01/4.99 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB15)) <=> v111(constB15))),
% 7.01/4.99 inference(quant_inst,[status(thm)],[])).
% 7.01/4.99 tff(4636,plain,
% 7.01/4.99 ((~v126(constB15)) <=> v111(constB15)),
% 7.01/4.99 inference(unit_resolution,[status(thm)],[4635, 3396])).
% 7.01/4.99 tff(4637,plain,
% 7.01/4.99 ((~((~v126(constB15)) <=> v111(constB15))) | v126(constB15) | v111(constB15)),
% 7.01/4.99 inference(tautology,[status(thm)],[])).
% 7.01/5.00 tff(4638,plain,
% 7.01/5.00 ((~((~v126(constB15)) <=> v111(constB15))) | v126(constB15)),
% 7.01/5.00 inference(unit_resolution,[status(thm)],[4637, 2678])).
% 7.01/5.00 tff(4639,plain,
% 7.01/5.00 (v126(constB15)),
% 7.01/5.00 inference(unit_resolution,[status(thm)],[4638, 4636])).
% 7.01/5.00 tff(4640,plain,
% 7.01/5.00 ((~((~v113(constB15)) | (~v126(constB15)))) | (~v113(constB15)) | (~v126(constB15))),
% 7.01/5.00 inference(tautology,[status(thm)],[])).
% 7.01/5.00 tff(4641,plain,
% 7.01/5.00 ((~((~v113(constB15)) | (~v126(constB15)))) | (~v113(constB15))),
% 7.01/5.00 inference(unit_resolution,[status(thm)],[4640, 4639])).
% 7.01/5.00 tff(4642,plain,
% 7.01/5.00 (~((~v113(constB15)) | (~v126(constB15)))),
% 7.01/5.00 inference(unit_resolution,[status(thm)],[4641, 4634])).
% 7.01/5.00 tff(4643,plain,
% 7.01/5.00 ((~(v112(constB15) <=> (~((~v113(constB15)) | (~v126(constB15)))))) | v112(constB15) | ((~v113(constB15)) | (~v126(constB15)))),
% 7.01/5.00 inference(tautology,[status(thm)],[])).
% 7.01/5.00 tff(4644,plain,
% 7.01/5.00 (v112(constB15)),
% 7.01/5.00 inference(unit_resolution,[status(thm)],[4643, 4642, 4622])).
% 7.01/5.00 tff(4645,plain,
% 7.01/5.00 ((v111(constB15) | v112(constB15)) | (~v112(constB15))),
% 7.01/5.00 inference(tautology,[status(thm)],[])).
% 7.01/5.00 tff(4646,plain,
% 7.01/5.00 (v111(constB15) | v112(constB15)),
% 7.01/5.00 inference(unit_resolution,[status(thm)],[4645, 4644])).
% 7.01/5.00 tff(4647,plain,
% 7.01/5.00 ((~(v108(constB15) <=> (v111(constB15) | v112(constB15)))) | v108(constB15) | (~(v111(constB15) | v112(constB15)))),
% 7.01/5.00 inference(tautology,[status(thm)],[])).
% 7.01/5.00 tff(4648,plain,
% 7.01/5.00 (v108(constB15)),
% 7.01/5.00 inference(unit_resolution,[status(thm)],[4647, 4646, 4620])).
% 7.01/5.00 tff(4649,plain,
% 7.01/5.00 ((~(v110(constB16) <=> v108(constB15))) | v110(constB16) | (~v108(constB15))),
% 7.01/5.00 inference(tautology,[status(thm)],[])).
% 7.01/5.00 tff(4650,plain,
% 7.01/5.00 (v110(constB16)),
% 7.01/5.00 inference(unit_resolution,[status(thm)],[4649, 4648, 4618])).
% 7.01/5.00 tff(4651,plain,
% 7.01/5.00 ((~((~v101(constB16)) | (~v110(constB16)))) | (~v101(constB16)) | (~v110(constB16))),
% 7.01/5.00 inference(tautology,[status(thm)],[])).
% 7.01/5.00 tff(4652,plain,
% 7.01/5.00 (~((~v101(constB16)) | (~v110(constB16)))),
% 7.01/5.00 inference(unit_resolution,[status(thm)],[4651, 4650, 4614])).
% 7.01/5.00 tff(4653,plain,
% 7.01/5.00 ((~(v100(constB16) <=> (~((~v101(constB16)) | (~v110(constB16)))))) | v100(constB16) | ((~v101(constB16)) | (~v110(constB16)))),
% 7.01/5.00 inference(tautology,[status(thm)],[])).
% 7.01/5.00 tff(4654,plain,
% 7.01/5.00 (v100(constB16)),
% 7.01/5.00 inference(unit_resolution,[status(thm)],[4653, 4652, 4586])).
% 7.01/5.00 tff(4655,plain,
% 7.01/5.00 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB16)) | (~(((~v90(constB16, bitIndex2)) <=> v129(constB16, bitIndex2)) | ((~v90(constB16, bitIndex1)) <=> v129(constB16, bitIndex1)) | ((~v90(constB16, bitIndex0)) <=> v129(constB16, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB16)) | (~(((~v90(constB16, bitIndex2)) <=> v129(constB16, bitIndex2)) | ((~v90(constB16, bitIndex1)) <=> v129(constB16, bitIndex1)) | ((~v90(constB16, bitIndex0)) <=> v129(constB16, bitIndex0)))))),
% 7.01/5.00 inference(rewrite,[status(thm)],[])).
% 7.01/5.00 tff(4656,plain,
% 7.01/5.00 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB16)) | (~(((~v90(constB16, bitIndex2)) <=> v129(constB16, bitIndex2)) | ((~v90(constB16, bitIndex1)) <=> v129(constB16, bitIndex1)) | ((~v90(constB16, bitIndex0)) <=> v129(constB16, bitIndex0)))))),
% 7.01/5.00 inference(quant_inst,[status(thm)],[])).
% 7.01/5.00 tff(4657,plain,
% 7.01/5.00 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB16)) | (~(((~v90(constB16, bitIndex2)) <=> v129(constB16, bitIndex2)) | ((~v90(constB16, bitIndex1)) <=> v129(constB16, bitIndex1)) | ((~v90(constB16, bitIndex0)) <=> v129(constB16, bitIndex0))))),
% 7.01/5.00 inference(modus_ponens,[status(thm)],[4656, 4655])).
% 7.01/5.00 tff(4658,plain,
% 7.01/5.00 ((~v100(constB16)) | (~(((~v90(constB16, bitIndex2)) <=> v129(constB16, bitIndex2)) | ((~v90(constB16, bitIndex1)) <=> v129(constB16, bitIndex1)) | ((~v90(constB16, bitIndex0)) <=> v129(constB16, bitIndex0))))),
% 7.01/5.00 inference(unit_resolution,[status(thm)],[4657, 3429])).
% 7.01/5.00 tff(4659,plain,
% 7.01/5.00 (~(((~v90(constB16, bitIndex2)) <=> v129(constB16, bitIndex2)) | ((~v90(constB16, bitIndex1)) <=> v129(constB16, bitIndex1)) | ((~v90(constB16, bitIndex0)) <=> v129(constB16, bitIndex0)))),
% 7.01/5.00 inference(unit_resolution,[status(thm)],[4658, 4654])).
% 7.01/5.00 tff(4660,plain,
% 7.01/5.00 ((((~v90(constB16, bitIndex2)) <=> v129(constB16, bitIndex2)) | ((~v90(constB16, bitIndex1)) <=> v129(constB16, bitIndex1)) | ((~v90(constB16, bitIndex0)) <=> v129(constB16, bitIndex0))) | (~((~v90(constB16, bitIndex2)) <=> v129(constB16, bitIndex2)))),
% 7.01/5.00 inference(tautology,[status(thm)],[])).
% 7.01/5.00 tff(4661,plain,
% 7.01/5.00 (~((~v90(constB16, bitIndex2)) <=> v129(constB16, bitIndex2))),
% 7.01/5.00 inference(unit_resolution,[status(thm)],[4660, 4659])).
% 7.01/5.00 tff(4662,plain,
% 7.01/5.00 (((~v90(constB16, bitIndex2)) <=> v129(constB16, bitIndex2)) | (~v90(constB16, bitIndex2)) | v129(constB16, bitIndex2)),
% 7.01/5.00 inference(tautology,[status(thm)],[])).
% 7.01/5.00 tff(4663,plain,
% 7.01/5.00 (~v90(constB16, bitIndex2)),
% 7.01/5.00 inference(unit_resolution,[status(thm)],[4662, 4661, 4582])).
% 7.01/5.00 tff(4664,plain,
% 7.01/5.00 (((~v90(constB17, bitIndex2)) <=> v90(constB16, bitIndex2)) | (~v90(constB17, bitIndex2)) | v90(constB16, bitIndex2)),
% 7.01/5.00 inference(tautology,[status(thm)],[])).
% 7.01/5.00 tff(4665,plain,
% 7.01/5.00 (~v90(constB17, bitIndex2)),
% 7.01/5.00 inference(unit_resolution,[status(thm)],[4664, 4663, 2662])).
% 7.01/5.00 tff(4666,plain,
% 7.01/5.00 ((((~v90(constB17, bitIndex1)) <=> v90(constB16, bitIndex1)) | ((~v90(constB17, bitIndex2)) <=> v90(constB16, bitIndex2)) | ((~v90(constB17, bitIndex0)) <=> v90(constB16, bitIndex0))) | (~((~v90(constB17, bitIndex0)) <=> v90(constB16, bitIndex0)))),
% 7.01/5.00 inference(tautology,[status(thm)],[])).
% 7.01/5.00 tff(4667,plain,
% 7.01/5.00 (~((~v90(constB17, bitIndex0)) <=> v90(constB16, bitIndex0))),
% 7.01/5.00 inference(unit_resolution,[status(thm)],[4666, 2660])).
% 7.01/5.00 tff(4668,plain,
% 7.01/5.00 ((((~v129(constB16, bitIndex2)) <=> v127(constB15, bitIndex2)) | ((~v129(constB16, bitIndex1)) <=> v127(constB15, bitIndex1)) | ((~v129(constB16, bitIndex0)) <=> v127(constB15, bitIndex0))) | (~((~v129(constB16, bitIndex0)) <=> v127(constB15, bitIndex0)))),
% 7.01/5.00 inference(tautology,[status(thm)],[])).
% 7.01/5.00 tff(4669,plain,
% 7.01/5.00 (~((~v129(constB16, bitIndex0)) <=> v127(constB15, bitIndex0))),
% 7.01/5.00 inference(unit_resolution,[status(thm)],[4668, 2669])).
% 7.01/5.00 tff(4670,plain,
% 7.01/5.00 ((((~v127(constB15, bitIndex2)) <=> v130(constB15, bitIndex2)) | ((~v127(constB15, bitIndex1)) <=> v130(constB15, bitIndex1)) | ((~v127(constB15, bitIndex0)) <=> v130(constB15, bitIndex0))) | (~((~v127(constB15, bitIndex0)) <=> v130(constB15, bitIndex0)))),
% 7.01/5.00 inference(tautology,[status(thm)],[])).
% 7.01/5.00 tff(4671,plain,
% 7.01/5.00 (~((~v127(constB15, bitIndex0)) <=> v130(constB15, bitIndex0))),
% 7.01/5.00 inference(unit_resolution,[status(thm)],[4670, 2683])).
% 7.01/5.00 tff(4672,plain,
% 7.01/5.00 ((v130(constB15, bitIndex2) | v130(constB15, bitIndex1) | (~v130(constB15, bitIndex0))) | v130(constB15, bitIndex0)),
% 7.01/5.00 inference(tautology,[status(thm)],[])).
% 7.01/5.00 tff(4673,plain,
% 7.01/5.00 (v130(constB15, bitIndex0)),
% 7.01/5.00 inference(unit_resolution,[status(thm)],[4672, 4576])).
% 7.01/5.00 tff(4674,plain,
% 7.01/5.00 (((~v127(constB15, bitIndex0)) <=> v130(constB15, bitIndex0)) | v127(constB15, bitIndex0) | (~v130(constB15, bitIndex0))),
% 7.01/5.00 inference(tautology,[status(thm)],[])).
% 7.01/5.00 tff(4675,plain,
% 7.01/5.00 (v127(constB15, bitIndex0)),
% 7.01/5.00 inference(unit_resolution,[status(thm)],[4674, 4673, 4671])).
% 7.01/5.00 tff(4676,plain,
% 7.01/5.00 (((~v129(constB16, bitIndex0)) <=> v127(constB15, bitIndex0)) | v129(constB16, bitIndex0) | (~v127(constB15, bitIndex0))),
% 7.01/5.00 inference(tautology,[status(thm)],[])).
% 7.01/5.00 tff(4677,plain,
% 7.01/5.00 (v129(constB16, bitIndex0)),
% 7.01/5.00 inference(unit_resolution,[status(thm)],[4676, 4675, 4669])).
% 7.01/5.00 tff(4678,plain,
% 7.01/5.00 ((((~v90(constB16, bitIndex2)) <=> v129(constB16, bitIndex2)) | ((~v90(constB16, bitIndex1)) <=> v129(constB16, bitIndex1)) | ((~v90(constB16, bitIndex0)) <=> v129(constB16, bitIndex0))) | (~((~v90(constB16, bitIndex0)) <=> v129(constB16, bitIndex0)))),
% 7.01/5.00 inference(tautology,[status(thm)],[])).
% 7.01/5.00 tff(4679,plain,
% 7.01/5.00 (~((~v90(constB16, bitIndex0)) <=> v129(constB16, bitIndex0))),
% 7.01/5.00 inference(unit_resolution,[status(thm)],[4678, 4659])).
% 7.01/5.00 tff(4680,plain,
% 7.01/5.00 (((~v90(constB16, bitIndex0)) <=> v129(constB16, bitIndex0)) | v90(constB16, bitIndex0) | (~v129(constB16, bitIndex0))),
% 7.01/5.00 inference(tautology,[status(thm)],[])).
% 7.01/5.00 tff(4681,plain,
% 7.01/5.00 (v90(constB16, bitIndex0)),
% 7.01/5.00 inference(unit_resolution,[status(thm)],[4680, 4679, 4677])).
% 7.01/5.00 tff(4682,plain,
% 7.01/5.00 (((~v90(constB17, bitIndex0)) <=> v90(constB16, bitIndex0)) | v90(constB17, bitIndex0) | (~v90(constB16, bitIndex0))),
% 7.01/5.00 inference(tautology,[status(thm)],[])).
% 7.01/5.00 tff(4683,plain,
% 7.01/5.00 (v90(constB17, bitIndex0)),
% 7.01/5.00 inference(unit_resolution,[status(thm)],[4682, 4681, 4667])).
% 7.01/5.00 tff(4684,plain,
% 7.01/5.00 ((((~v90(constB17, bitIndex1)) <=> v90(constB16, bitIndex1)) | ((~v90(constB17, bitIndex2)) <=> v90(constB16, bitIndex2)) | ((~v90(constB17, bitIndex0)) <=> v90(constB16, bitIndex0))) | (~((~v90(constB17, bitIndex1)) <=> v90(constB16, bitIndex1)))),
% 7.01/5.00 inference(tautology,[status(thm)],[])).
% 7.01/5.00 tff(4685,plain,
% 7.01/5.00 (~((~v90(constB17, bitIndex1)) <=> v90(constB16, bitIndex1))),
% 7.01/5.00 inference(unit_resolution,[status(thm)],[4684, 2660])).
% 7.01/5.00 tff(4686,plain,
% 7.01/5.00 ((((~v129(constB16, bitIndex2)) <=> v127(constB15, bitIndex2)) | ((~v129(constB16, bitIndex1)) <=> v127(constB15, bitIndex1)) | ((~v129(constB16, bitIndex0)) <=> v127(constB15, bitIndex0))) | (~((~v129(constB16, bitIndex1)) <=> v127(constB15, bitIndex1)))),
% 7.01/5.00 inference(tautology,[status(thm)],[])).
% 7.01/5.00 tff(4687,plain,
% 7.01/5.00 (~((~v129(constB16, bitIndex1)) <=> v127(constB15, bitIndex1))),
% 7.01/5.00 inference(unit_resolution,[status(thm)],[4686, 2669])).
% 7.01/5.00 tff(4688,plain,
% 7.01/5.00 ((((~v127(constB15, bitIndex2)) <=> v130(constB15, bitIndex2)) | ((~v127(constB15, bitIndex1)) <=> v130(constB15, bitIndex1)) | ((~v127(constB15, bitIndex0)) <=> v130(constB15, bitIndex0))) | (~((~v127(constB15, bitIndex1)) <=> v130(constB15, bitIndex1)))),
% 7.01/5.00 inference(tautology,[status(thm)],[])).
% 7.01/5.00 tff(4689,plain,
% 7.01/5.00 (~((~v127(constB15, bitIndex1)) <=> v130(constB15, bitIndex1))),
% 7.01/5.00 inference(unit_resolution,[status(thm)],[4688, 2683])).
% 7.01/5.00 tff(4690,plain,
% 7.01/5.00 ((v130(constB15, bitIndex2) | v130(constB15, bitIndex1) | (~v130(constB15, bitIndex0))) | (~v130(constB15, bitIndex1))),
% 7.01/5.00 inference(tautology,[status(thm)],[])).
% 7.01/5.00 tff(4691,plain,
% 7.01/5.00 (~v130(constB15, bitIndex1)),
% 7.01/5.00 inference(unit_resolution,[status(thm)],[4690, 4576])).
% 7.01/5.00 tff(4692,plain,
% 7.01/5.00 (((~v127(constB15, bitIndex1)) <=> v130(constB15, bitIndex1)) | (~v127(constB15, bitIndex1)) | v130(constB15, bitIndex1)),
% 7.01/5.00 inference(tautology,[status(thm)],[])).
% 7.01/5.00 tff(4693,plain,
% 7.01/5.00 (~v127(constB15, bitIndex1)),
% 7.01/5.00 inference(unit_resolution,[status(thm)],[4692, 4691, 4689])).
% 7.01/5.00 tff(4694,plain,
% 7.01/5.00 (((~v129(constB16, bitIndex1)) <=> v127(constB15, bitIndex1)) | (~v129(constB16, bitIndex1)) | v127(constB15, bitIndex1)),
% 7.01/5.00 inference(tautology,[status(thm)],[])).
% 7.01/5.00 tff(4695,plain,
% 7.01/5.00 (~v129(constB16, bitIndex1)),
% 7.01/5.00 inference(unit_resolution,[status(thm)],[4694, 4693, 4687])).
% 7.01/5.00 tff(4696,plain,
% 7.01/5.00 ((((~v90(constB16, bitIndex2)) <=> v129(constB16, bitIndex2)) | ((~v90(constB16, bitIndex1)) <=> v129(constB16, bitIndex1)) | ((~v90(constB16, bitIndex0)) <=> v129(constB16, bitIndex0))) | (~((~v90(constB16, bitIndex1)) <=> v129(constB16, bitIndex1)))),
% 7.01/5.00 inference(tautology,[status(thm)],[])).
% 7.01/5.00 tff(4697,plain,
% 7.01/5.00 (~((~v90(constB16, bitIndex1)) <=> v129(constB16, bitIndex1))),
% 7.01/5.00 inference(unit_resolution,[status(thm)],[4696, 4659])).
% 7.01/5.00 tff(4698,plain,
% 7.01/5.00 (((~v90(constB16, bitIndex1)) <=> v129(constB16, bitIndex1)) | (~v90(constB16, bitIndex1)) | v129(constB16, bitIndex1)),
% 7.01/5.00 inference(tautology,[status(thm)],[])).
% 7.01/5.00 tff(4699,plain,
% 7.01/5.00 (~v90(constB16, bitIndex1)),
% 7.01/5.00 inference(unit_resolution,[status(thm)],[4698, 4697, 4695])).
% 7.01/5.00 tff(4700,plain,
% 7.01/5.00 (((~v90(constB17, bitIndex1)) <=> v90(constB16, bitIndex1)) | (~v90(constB17, bitIndex1)) | v90(constB16, bitIndex1)),
% 7.01/5.00 inference(tautology,[status(thm)],[])).
% 7.01/5.00 tff(4701,plain,
% 7.01/5.00 (~v90(constB17, bitIndex1)),
% 7.01/5.00 inference(unit_resolution,[status(thm)],[4700, 4699, 4685])).
% 7.01/5.00 tff(4702,plain,
% 7.01/5.00 ((~(v90(constB17, bitIndex1) | v90(constB17, bitIndex2) | (~v90(constB17, bitIndex0)))) | v90(constB17, bitIndex1) | v90(constB17, bitIndex2) | (~v90(constB17, bitIndex0))),
% 7.01/5.00 inference(tautology,[status(thm)],[])).
% 7.01/5.00 tff(4703,plain,
% 7.01/5.00 (~(v90(constB17, bitIndex1) | v90(constB17, bitIndex2) | (~v90(constB17, bitIndex0)))),
% 7.01/5.00 inference(unit_resolution,[status(thm)],[4702, 4701, 4683, 4665])).
% 7.01/5.00 tff(4704,plain,
% 7.01/5.00 ((~(v120(constB17) <=> (~(v90(constB17, bitIndex1) | v90(constB17, bitIndex2) | (~v90(constB17, bitIndex0)))))) | v120(constB17) | (v90(constB17, bitIndex1) | v90(constB17, bitIndex2) | (~v90(constB17, bitIndex0)))),
% 7.01/5.00 inference(tautology,[status(thm)],[])).
% 7.01/5.00 tff(4705,plain,
% 7.01/5.00 (v120(constB17)),
% 7.01/5.00 inference(unit_resolution,[status(thm)],[4704, 4703, 2626])).
% 7.01/5.00 tff(4706,plain,
% 7.01/5.00 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB17)) | (~(v130(constB17, bitIndex2) | v130(constB17, bitIndex0) | (~v130(constB17, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB17)) | (~(v130(constB17, bitIndex2) | v130(constB17, bitIndex0) | (~v130(constB17, bitIndex1)))))),
% 7.01/5.00 inference(rewrite,[status(thm)],[])).
% 7.01/5.00 tff(4707,plain,
% 7.01/5.00 (((~v120(constB17)) | (~(v130(constB17, bitIndex0) | v130(constB17, bitIndex2) | (~v130(constB17, bitIndex1))))) <=> ((~v120(constB17)) | (~(v130(constB17, bitIndex2) | v130(constB17, bitIndex0) | (~v130(constB17, bitIndex1)))))),
% 7.01/5.00 inference(rewrite,[status(thm)],[])).
% 7.01/5.00 tff(4708,plain,
% 7.01/5.00 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB17)) | (~(v130(constB17, bitIndex0) | v130(constB17, bitIndex2) | (~v130(constB17, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB17)) | (~(v130(constB17, bitIndex2) | v130(constB17, bitIndex0) | (~v130(constB17, bitIndex1))))))),
% 7.01/5.00 inference(monotonicity,[status(thm)],[4707])).
% 7.01/5.00 tff(4709,plain,
% 7.01/5.00 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB17)) | (~(v130(constB17, bitIndex0) | v130(constB17, bitIndex2) | (~v130(constB17, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB17)) | (~(v130(constB17, bitIndex2) | v130(constB17, bitIndex0) | (~v130(constB17, bitIndex1)))))),
% 7.01/5.00 inference(transitivity,[status(thm)],[4708, 4706])).
% 7.01/5.00 tff(4710,plain,
% 7.01/5.00 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB17)) | (~(v130(constB17, bitIndex0) | v130(constB17, bitIndex2) | (~v130(constB17, bitIndex1)))))),
% 7.01/5.00 inference(quant_inst,[status(thm)],[])).
% 7.01/5.00 tff(4711,plain,
% 7.01/5.00 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB17)) | (~(v130(constB17, bitIndex2) | v130(constB17, bitIndex0) | (~v130(constB17, bitIndex1))))),
% 7.01/5.00 inference(modus_ponens,[status(thm)],[4710, 4709])).
% 7.01/5.00 tff(4712,plain,
% 7.01/5.00 ((~v120(constB17)) | (~(v130(constB17, bitIndex2) | v130(constB17, bitIndex0) | (~v130(constB17, bitIndex1))))),
% 7.01/5.00 inference(unit_resolution,[status(thm)],[4711, 3881])).
% 7.01/5.00 tff(4713,plain,
% 7.01/5.00 (~(v130(constB17, bitIndex2) | v130(constB17, bitIndex0) | (~v130(constB17, bitIndex1)))),
% 7.01/5.00 inference(unit_resolution,[status(thm)],[4712, 4705])).
% 7.01/5.00 tff(4714,plain,
% 7.01/5.00 ((v130(constB17, bitIndex2) | v130(constB17, bitIndex0) | (~v130(constB17, bitIndex1))) | (~v130(constB17, bitIndex2))),
% 7.01/5.00 inference(tautology,[status(thm)],[])).
% 7.01/5.00 tff(4715,plain,
% 7.01/5.00 (~v130(constB17, bitIndex2)),
% 7.01/5.00 inference(unit_resolution,[status(thm)],[4714, 4713])).
% 7.01/5.00 tff(4716,plain,
% 7.01/5.00 (((~v127(constB17, bitIndex2)) <=> v130(constB17, bitIndex2)) | (~v127(constB17, bitIndex2)) | v130(constB17, bitIndex2)),
% 7.01/5.00 inference(tautology,[status(thm)],[])).
% 7.01/5.00 tff(4717,plain,
% 7.01/5.00 (~v127(constB17, bitIndex2)),
% 7.01/5.00 inference(unit_resolution,[status(thm)],[4716, 4715, 2624])).
% 7.01/5.00 tff(4718,plain,
% 7.01/5.00 (((~v129(constB18, bitIndex2)) <=> v127(constB17, bitIndex2)) | (~v129(constB18, bitIndex2)) | v127(constB17, bitIndex2)),
% 7.01/5.00 inference(tautology,[status(thm)],[])).
% 7.01/5.00 tff(4719,plain,
% 7.01/5.00 (~v129(constB18, bitIndex2)),
% 7.01/5.00 inference(unit_resolution,[status(thm)],[4718, 4717, 2610])).
% 7.01/5.00 tff(4720,plain,
% 7.01/5.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB17, constB18)) | (v100(constB18) <=> (~((~v101(constB18)) | (~v110(constB18))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB17, constB18)) | (v100(constB18) <=> (~((~v101(constB18)) | (~v110(constB18))))))),
% 7.01/5.00 inference(rewrite,[status(thm)],[])).
% 7.01/5.00 tff(4721,plain,
% 7.01/5.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB17, constB18)) | (v100(constB18) <=> (~((~v101(constB18)) | (~v110(constB18))))))),
% 7.01/5.00 inference(quant_inst,[status(thm)],[])).
% 7.01/5.00 tff(4722,plain,
% 7.01/5.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB17, constB18)) | (v100(constB18) <=> (~((~v101(constB18)) | (~v110(constB18)))))),
% 7.01/5.00 inference(modus_ponens,[status(thm)],[4721, 4720])).
% 7.01/5.00 tff(4723,plain,
% 7.01/5.00 (v100(constB18) <=> (~((~v101(constB18)) | (~v110(constB18))))),
% 7.01/5.00 inference(unit_resolution,[status(thm)],[4722, 2604, 445])).
% 7.01/5.00 tff(4724,plain,
% 7.01/5.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB17, constB18)) | (v101(constB18) <=> (~((~v1(constB18)) | (~v102(constB18))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB17, constB18)) | (v101(constB18) <=> (~((~v1(constB18)) | (~v102(constB18))))))),
% 7.01/5.00 inference(rewrite,[status(thm)],[])).
% 7.01/5.00 tff(4725,plain,
% 7.01/5.00 (((~nextState(constB17, constB18)) | (v101(constB18) <=> (~((~v102(constB18)) | (~v1(constB18)))))) <=> ((~nextState(constB17, constB18)) | (v101(constB18) <=> (~((~v1(constB18)) | (~v102(constB18))))))),
% 7.01/5.00 inference(rewrite,[status(thm)],[])).
% 7.01/5.00 tff(4726,plain,
% 7.01/5.00 (((~![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) <=> (~((~v1(constB18)) | (~v102(constB18)))))))),
% 7.01/5.00 inference(monotonicity,[status(thm)],[4725])).
% 7.01/5.00 tff(4727,plain,
% 7.01/5.00 (((~![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) <=> (~((~v1(constB18)) | (~v102(constB18))))))),
% 7.01/5.00 inference(transitivity,[status(thm)],[4726, 4724])).
% 7.01/5.00 tff(4728,plain,
% 7.01/5.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB17, constB18)) | (v101(constB18) <=> (~((~v102(constB18)) | (~v1(constB18))))))),
% 7.01/5.00 inference(quant_inst,[status(thm)],[])).
% 7.01/5.00 tff(4729,plain,
% 7.01/5.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB17, constB18)) | (v101(constB18) <=> (~((~v1(constB18)) | (~v102(constB18)))))),
% 7.01/5.00 inference(modus_ponens,[status(thm)],[4728, 4727])).
% 7.01/5.00 tff(4730,plain,
% 7.01/5.00 (v101(constB18) <=> (~((~v1(constB18)) | (~v102(constB18))))),
% 7.01/5.00 inference(unit_resolution,[status(thm)],[4729, 2604, 465])).
% 7.01/5.00 tff(4731,plain,
% 7.01/5.00 (((~![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)))),
% 7.01/5.00 inference(rewrite,[status(thm)],[])).
% 7.01/5.00 tff(4732,plain,
% 7.01/5.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB17, constB18)) | ((~v102(constB18)) <=> v104(constB18)))),
% 7.01/5.00 inference(quant_inst,[status(thm)],[])).
% 7.01/5.00 tff(4733,plain,
% 7.01/5.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB17, constB18)) | ((~v102(constB18)) <=> v104(constB18))),
% 7.01/5.00 inference(modus_ponens,[status(thm)],[4732, 4731])).
% 7.01/5.00 tff(4734,plain,
% 7.01/5.00 ((~v102(constB18)) <=> v104(constB18)),
% 7.01/5.00 inference(unit_resolution,[status(thm)],[4733, 2604, 3244])).
% 7.01/5.00 tff(4735,plain,
% 7.01/5.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB17, constB18)) | (v104(constB18) <=> v1(constB17)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB17, constB18)) | (v104(constB18) <=> v1(constB17)))),
% 7.01/5.00 inference(rewrite,[status(thm)],[])).
% 7.01/5.00 tff(4736,plain,
% 7.01/5.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB17, constB18)) | (v104(constB18) <=> v1(constB17)))),
% 7.01/5.00 inference(quant_inst,[status(thm)],[])).
% 7.01/5.00 tff(4737,plain,
% 7.01/5.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB17, constB18)) | (v104(constB18) <=> v1(constB17))),
% 7.01/5.00 inference(modus_ponens,[status(thm)],[4736, 4735])).
% 7.01/5.00 tff(4738,plain,
% 7.01/5.00 (v104(constB18) <=> v1(constB17)),
% 7.01/5.00 inference(unit_resolution,[status(thm)],[4737, 2604, 3258])).
% 7.01/5.00 tff(4739,plain,
% 7.01/5.00 ((~(v104(constB18) <=> v1(constB17))) | (~v104(constB18)) | v1(constB17)),
% 7.01/5.00 inference(tautology,[status(thm)],[])).
% 7.01/5.00 tff(4740,plain,
% 7.01/5.00 ((~(v104(constB18) <=> v1(constB17))) | (~v104(constB18))),
% 7.01/5.00 inference(unit_resolution,[status(thm)],[4739, 2643])).
% 7.01/5.00 tff(4741,plain,
% 7.01/5.00 (~v104(constB18)),
% 7.01/5.00 inference(unit_resolution,[status(thm)],[4740, 4738])).
% 7.01/5.00 tff(4742,plain,
% 7.01/5.00 ((~((~v102(constB18)) <=> v104(constB18))) | v102(constB18) | v104(constB18)),
% 7.01/5.00 inference(tautology,[status(thm)],[])).
% 7.01/5.00 tff(4743,plain,
% 7.01/5.00 (v102(constB18)),
% 7.01/5.00 inference(unit_resolution,[status(thm)],[4742, 4741, 4734])).
% 7.01/5.00 tff(4744,plain,
% 7.01/5.00 (v1(constB18) <=> v1(constB18)),
% 7.01/5.00 inference(rewrite,[status(thm)],[])).
% 7.01/5.00 tff(4745,axiom,(v1(constB18)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_18')).
% 7.01/5.00 tff(4746,plain,
% 7.01/5.00 (v1(constB18)),
% 7.01/5.00 inference(modus_ponens,[status(thm)],[4745, 4744])).
% 7.01/5.00 tff(4747,plain,
% 7.01/5.00 ((~((~v1(constB18)) | (~v102(constB18)))) | (~v1(constB18)) | (~v102(constB18))),
% 7.01/5.00 inference(tautology,[status(thm)],[])).
% 7.01/5.00 tff(4748,plain,
% 7.01/5.00 ((~((~v1(constB18)) | (~v102(constB18)))) | (~v102(constB18))),
% 7.01/5.00 inference(unit_resolution,[status(thm)],[4747, 4746])).
% 7.01/5.00 tff(4749,plain,
% 7.01/5.00 (~((~v1(constB18)) | (~v102(constB18)))),
% 7.01/5.00 inference(unit_resolution,[status(thm)],[4748, 4743])).
% 7.01/5.00 tff(4750,plain,
% 7.01/5.00 ((~(v101(constB18) <=> (~((~v1(constB18)) | (~v102(constB18)))))) | v101(constB18) | ((~v1(constB18)) | (~v102(constB18)))),
% 7.01/5.00 inference(tautology,[status(thm)],[])).
% 7.01/5.00 tff(4751,plain,
% 7.01/5.00 (v101(constB18)),
% 7.01/5.00 inference(unit_resolution,[status(thm)],[4750, 4749, 4730])).
% 7.01/5.00 tff(4752,plain,
% 7.01/5.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB17, constB18)) | (v110(constB18) <=> v108(constB17)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB17, constB18)) | (v110(constB18) <=> v108(constB17)))),
% 7.01/5.00 inference(rewrite,[status(thm)],[])).
% 7.01/5.00 tff(4753,plain,
% 7.01/5.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB17, constB18)) | (v110(constB18) <=> v108(constB17)))),
% 7.01/5.00 inference(quant_inst,[status(thm)],[])).
% 7.01/5.00 tff(4754,plain,
% 7.01/5.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB17, constB18)) | (v110(constB18) <=> v108(constB17))),
% 7.01/5.00 inference(modus_ponens,[status(thm)],[4753, 4752])).
% 7.01/5.00 tff(4755,plain,
% 7.01/5.00 (v110(constB18) <=> v108(constB17)),
% 7.01/5.00 inference(unit_resolution,[status(thm)],[4754, 2604, 3285])).
% 7.01/5.00 tff(4756,plain,
% 7.01/5.00 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB17) <=> (v111(constB17) | v112(constB17)))),
% 7.01/5.00 inference(quant_inst,[status(thm)],[])).
% 7.01/5.00 tff(4757,plain,
% 7.01/5.00 (v108(constB17) <=> (v111(constB17) | v112(constB17))),
% 7.01/5.00 inference(unit_resolution,[status(thm)],[4756, 3296])).
% 7.01/5.00 tff(4758,plain,
% 7.01/5.00 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB17) <=> (~((~v113(constB17)) | (~v126(constB17)))))),
% 7.01/5.00 inference(quant_inst,[status(thm)],[])).
% 7.01/5.00 tff(4759,plain,
% 7.01/5.00 (v112(constB17) <=> (~((~v113(constB17)) | (~v126(constB17))))),
% 7.01/5.00 inference(unit_resolution,[status(thm)],[4758, 3308])).
% 7.01/5.00 tff(4760,plain,
% 7.01/5.00 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB17) <=> (v114(constB17) | v125(constB17)))),
% 7.01/5.00 inference(quant_inst,[status(thm)],[])).
% 7.01/5.00 tff(4761,plain,
% 7.01/5.00 (v113(constB17) <=> (v114(constB17) | v125(constB17))),
% 7.01/5.00 inference(unit_resolution,[status(thm)],[4760, 3317])).
% 7.01/5.00 tff(4762,plain,
% 7.01/5.00 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB17) <=> (v115(constB17) | v124(constB17)))),
% 7.01/5.00 inference(quant_inst,[status(thm)],[])).
% 7.01/5.00 tff(4763,plain,
% 7.01/5.00 (v114(constB17) <=> (v115(constB17) | v124(constB17))),
% 7.01/5.00 inference(unit_resolution,[status(thm)],[4762, 3326])).
% 7.01/5.00 tff(4764,plain,
% 7.01/5.00 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB17) <=> (v116(constB17) | v123(constB17)))),
% 7.01/5.00 inference(quant_inst,[status(thm)],[])).
% 7.01/5.00 tff(4765,plain,
% 7.01/5.00 (v115(constB17) <=> (v116(constB17) | v123(constB17))),
% 7.01/5.00 inference(unit_resolution,[status(thm)],[4764, 3335])).
% 7.01/5.00 tff(4766,plain,
% 7.01/5.00 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB17) <=> (v117(constB17) | v122(constB17)))),
% 7.01/5.00 inference(quant_inst,[status(thm)],[])).
% 7.01/5.00 tff(4767,plain,
% 7.01/5.00 (v116(constB17) <=> (v117(constB17) | v122(constB17))),
% 7.01/5.00 inference(unit_resolution,[status(thm)],[4766, 3344])).
% 7.01/5.00 tff(4768,plain,
% 7.01/5.00 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB17) <=> (v118(constB17) | v121(constB17)))),
% 7.01/5.00 inference(quant_inst,[status(thm)],[])).
% 7.01/5.00 tff(4769,plain,
% 7.01/5.00 (v117(constB17) <=> (v118(constB17) | v121(constB17))),
% 7.01/5.00 inference(unit_resolution,[status(thm)],[4768, 3353])).
% 7.01/5.00 tff(4770,plain,
% 7.01/5.00 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB17) <=> (v119(constB17) | v120(constB17)))),
% 7.01/5.00 inference(quant_inst,[status(thm)],[])).
% 7.01/5.00 tff(4771,plain,
% 7.01/5.00 (v118(constB17) <=> (v119(constB17) | v120(constB17))),
% 7.01/5.00 inference(unit_resolution,[status(thm)],[4770, 3362])).
% 7.01/5.00 tff(4772,plain,
% 7.01/5.00 ((v119(constB17) | v120(constB17)) | (~v120(constB17))),
% 7.01/5.00 inference(tautology,[status(thm)],[])).
% 7.01/5.00 tff(4773,plain,
% 7.01/5.00 (v119(constB17) | v120(constB17)),
% 7.01/5.00 inference(unit_resolution,[status(thm)],[4772, 4705])).
% 7.01/5.00 tff(4774,plain,
% 7.01/5.00 ((~(v118(constB17) <=> (v119(constB17) | v120(constB17)))) | v118(constB17) | (~(v119(constB17) | v120(constB17)))),
% 7.01/5.00 inference(tautology,[status(thm)],[])).
% 7.01/5.00 tff(4775,plain,
% 7.01/5.00 (v118(constB17)),
% 7.01/5.00 inference(unit_resolution,[status(thm)],[4774, 4773, 4771])).
% 7.01/5.00 tff(4776,plain,
% 7.01/5.00 ((v118(constB17) | v121(constB17)) | (~v118(constB17))),
% 7.01/5.00 inference(tautology,[status(thm)],[])).
% 7.01/5.00 tff(4777,plain,
% 7.01/5.00 (v118(constB17) | v121(constB17)),
% 7.01/5.00 inference(unit_resolution,[status(thm)],[4776, 4775])).
% 7.01/5.00 tff(4778,plain,
% 7.01/5.00 ((~(v117(constB17) <=> (v118(constB17) | v121(constB17)))) | v117(constB17) | (~(v118(constB17) | v121(constB17)))),
% 7.01/5.00 inference(tautology,[status(thm)],[])).
% 7.01/5.00 tff(4779,plain,
% 7.01/5.00 (v117(constB17)),
% 7.01/5.00 inference(unit_resolution,[status(thm)],[4778, 4777, 4769])).
% 7.01/5.00 tff(4780,plain,
% 7.01/5.00 ((v117(constB17) | v122(constB17)) | (~v117(constB17))),
% 7.01/5.00 inference(tautology,[status(thm)],[])).
% 7.01/5.00 tff(4781,plain,
% 7.01/5.00 (v117(constB17) | v122(constB17)),
% 7.01/5.00 inference(unit_resolution,[status(thm)],[4780, 4779])).
% 7.01/5.00 tff(4782,plain,
% 7.01/5.00 ((~(v116(constB17) <=> (v117(constB17) | v122(constB17)))) | v116(constB17) | (~(v117(constB17) | v122(constB17)))),
% 7.01/5.00 inference(tautology,[status(thm)],[])).
% 7.01/5.00 tff(4783,plain,
% 7.01/5.00 (v116(constB17)),
% 7.01/5.00 inference(unit_resolution,[status(thm)],[4782, 4781, 4767])).
% 7.01/5.00 tff(4784,plain,
% 7.01/5.00 ((v116(constB17) | v123(constB17)) | (~v116(constB17))),
% 7.01/5.00 inference(tautology,[status(thm)],[])).
% 7.01/5.00 tff(4785,plain,
% 7.01/5.00 (v116(constB17) | v123(constB17)),
% 7.01/5.00 inference(unit_resolution,[status(thm)],[4784, 4783])).
% 7.01/5.00 tff(4786,plain,
% 7.01/5.00 ((~(v115(constB17) <=> (v116(constB17) | v123(constB17)))) | v115(constB17) | (~(v116(constB17) | v123(constB17)))),
% 7.01/5.00 inference(tautology,[status(thm)],[])).
% 7.01/5.00 tff(4787,plain,
% 7.01/5.00 (v115(constB17)),
% 7.01/5.00 inference(unit_resolution,[status(thm)],[4786, 4785, 4765])).
% 7.01/5.00 tff(4788,plain,
% 7.01/5.00 ((v115(constB17) | v124(constB17)) | (~v115(constB17))),
% 7.01/5.00 inference(tautology,[status(thm)],[])).
% 7.01/5.00 tff(4789,plain,
% 7.01/5.00 (v115(constB17) | v124(constB17)),
% 7.01/5.00 inference(unit_resolution,[status(thm)],[4788, 4787])).
% 7.01/5.00 tff(4790,plain,
% 7.01/5.00 ((~(v114(constB17) <=> (v115(constB17) | v124(constB17)))) | v114(constB17) | (~(v115(constB17) | v124(constB17)))),
% 7.01/5.00 inference(tautology,[status(thm)],[])).
% 7.01/5.00 tff(4791,plain,
% 7.01/5.00 (v114(constB17)),
% 7.01/5.00 inference(unit_resolution,[status(thm)],[4790, 4789, 4763])).
% 7.01/5.00 tff(4792,plain,
% 7.01/5.00 ((v114(constB17) | v125(constB17)) | (~v114(constB17))),
% 7.01/5.00 inference(tautology,[status(thm)],[])).
% 7.01/5.00 tff(4793,plain,
% 7.01/5.00 (v114(constB17) | v125(constB17)),
% 7.01/5.00 inference(unit_resolution,[status(thm)],[4792, 4791])).
% 7.01/5.00 tff(4794,plain,
% 7.01/5.00 ((~(v113(constB17) <=> (v114(constB17) | v125(constB17)))) | v113(constB17) | (~(v114(constB17) | v125(constB17)))),
% 7.01/5.00 inference(tautology,[status(thm)],[])).
% 7.01/5.00 tff(4795,plain,
% 7.01/5.00 (v113(constB17)),
% 7.01/5.00 inference(unit_resolution,[status(thm)],[4794, 4793, 4761])).
% 7.01/5.00 tff(4796,plain,
% 7.01/5.00 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB17)) <=> v111(constB17))),
% 7.01/5.00 inference(quant_inst,[status(thm)],[])).
% 7.01/5.00 tff(4797,plain,
% 7.01/5.00 ((~v126(constB17)) <=> v111(constB17)),
% 7.01/5.00 inference(unit_resolution,[status(thm)],[4796, 3396])).
% 7.01/5.00 tff(4798,plain,
% 7.01/5.00 ((~((~v126(constB17)) <=> v111(constB17))) | v126(constB17) | v111(constB17)),
% 7.01/5.00 inference(tautology,[status(thm)],[])).
% 7.01/5.00 tff(4799,plain,
% 7.01/5.00 ((~((~v126(constB17)) <=> v111(constB17))) | v126(constB17)),
% 7.01/5.00 inference(unit_resolution,[status(thm)],[4798, 2617])).
% 7.01/5.00 tff(4800,plain,
% 7.01/5.00 (v126(constB17)),
% 7.01/5.00 inference(unit_resolution,[status(thm)],[4799, 4797])).
% 7.01/5.00 tff(4801,plain,
% 7.01/5.00 ((~((~v113(constB17)) | (~v126(constB17)))) | (~v113(constB17)) | (~v126(constB17))),
% 7.01/5.00 inference(tautology,[status(thm)],[])).
% 7.01/5.00 tff(4802,plain,
% 7.01/5.00 ((~((~v113(constB17)) | (~v126(constB17)))) | (~v113(constB17))),
% 7.01/5.00 inference(unit_resolution,[status(thm)],[4801, 4800])).
% 7.01/5.00 tff(4803,plain,
% 7.01/5.01 (~((~v113(constB17)) | (~v126(constB17)))),
% 7.01/5.01 inference(unit_resolution,[status(thm)],[4802, 4795])).
% 7.01/5.01 tff(4804,plain,
% 7.01/5.01 ((~(v112(constB17) <=> (~((~v113(constB17)) | (~v126(constB17)))))) | v112(constB17) | ((~v113(constB17)) | (~v126(constB17)))),
% 7.01/5.01 inference(tautology,[status(thm)],[])).
% 7.01/5.01 tff(4805,plain,
% 7.01/5.01 (v112(constB17)),
% 7.01/5.01 inference(unit_resolution,[status(thm)],[4804, 4803, 4759])).
% 7.01/5.01 tff(4806,plain,
% 7.01/5.01 ((v111(constB17) | v112(constB17)) | (~v112(constB17))),
% 7.01/5.01 inference(tautology,[status(thm)],[])).
% 7.01/5.01 tff(4807,plain,
% 7.01/5.01 (v111(constB17) | v112(constB17)),
% 7.01/5.01 inference(unit_resolution,[status(thm)],[4806, 4805])).
% 7.01/5.01 tff(4808,plain,
% 7.01/5.01 ((~(v108(constB17) <=> (v111(constB17) | v112(constB17)))) | v108(constB17) | (~(v111(constB17) | v112(constB17)))),
% 7.01/5.01 inference(tautology,[status(thm)],[])).
% 7.01/5.01 tff(4809,plain,
% 7.01/5.01 (v108(constB17)),
% 7.01/5.01 inference(unit_resolution,[status(thm)],[4808, 4807, 4757])).
% 7.01/5.01 tff(4810,plain,
% 7.01/5.01 ((~(v110(constB18) <=> v108(constB17))) | v110(constB18) | (~v108(constB17))),
% 7.01/5.01 inference(tautology,[status(thm)],[])).
% 7.01/5.01 tff(4811,plain,
% 7.01/5.01 (v110(constB18)),
% 7.01/5.01 inference(unit_resolution,[status(thm)],[4810, 4809, 4755])).
% 7.01/5.01 tff(4812,plain,
% 7.01/5.01 ((~((~v101(constB18)) | (~v110(constB18)))) | (~v101(constB18)) | (~v110(constB18))),
% 7.01/5.01 inference(tautology,[status(thm)],[])).
% 7.01/5.01 tff(4813,plain,
% 7.01/5.01 (~((~v101(constB18)) | (~v110(constB18)))),
% 7.01/5.01 inference(unit_resolution,[status(thm)],[4812, 4811, 4751])).
% 7.01/5.01 tff(4814,plain,
% 7.01/5.01 ((~(v100(constB18) <=> (~((~v101(constB18)) | (~v110(constB18)))))) | v100(constB18) | ((~v101(constB18)) | (~v110(constB18)))),
% 7.01/5.01 inference(tautology,[status(thm)],[])).
% 7.01/5.01 tff(4815,plain,
% 7.01/5.01 (v100(constB18)),
% 7.01/5.01 inference(unit_resolution,[status(thm)],[4814, 4813, 4723])).
% 7.01/5.01 tff(4816,plain,
% 7.01/5.01 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB18)) | (~(((~v90(constB18, bitIndex0)) <=> v129(constB18, bitIndex0)) | ((~v90(constB18, bitIndex2)) <=> v129(constB18, bitIndex2)) | ((~v90(constB18, bitIndex1)) <=> v129(constB18, bitIndex1)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB18)) | (~(((~v90(constB18, bitIndex0)) <=> v129(constB18, bitIndex0)) | ((~v90(constB18, bitIndex2)) <=> v129(constB18, bitIndex2)) | ((~v90(constB18, bitIndex1)) <=> v129(constB18, bitIndex1)))))),
% 7.01/5.01 inference(rewrite,[status(thm)],[])).
% 7.01/5.01 tff(4817,plain,
% 7.01/5.01 (((~v100(constB18)) | (~(((~v90(constB18, bitIndex2)) <=> v129(constB18, bitIndex2)) | ((~v90(constB18, bitIndex1)) <=> v129(constB18, bitIndex1)) | ((~v90(constB18, bitIndex0)) <=> v129(constB18, bitIndex0))))) <=> ((~v100(constB18)) | (~(((~v90(constB18, bitIndex0)) <=> v129(constB18, bitIndex0)) | ((~v90(constB18, bitIndex2)) <=> v129(constB18, bitIndex2)) | ((~v90(constB18, bitIndex1)) <=> v129(constB18, bitIndex1)))))),
% 7.01/5.01 inference(rewrite,[status(thm)],[])).
% 7.01/5.01 tff(4818,plain,
% 7.01/5.01 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB18)) | (~(((~v90(constB18, bitIndex2)) <=> v129(constB18, bitIndex2)) | ((~v90(constB18, bitIndex1)) <=> v129(constB18, bitIndex1)) | ((~v90(constB18, bitIndex0)) <=> v129(constB18, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB18)) | (~(((~v90(constB18, bitIndex0)) <=> v129(constB18, bitIndex0)) | ((~v90(constB18, bitIndex2)) <=> v129(constB18, bitIndex2)) | ((~v90(constB18, bitIndex1)) <=> v129(constB18, bitIndex1))))))),
% 7.01/5.01 inference(monotonicity,[status(thm)],[4817])).
% 7.01/5.01 tff(4819,plain,
% 7.01/5.01 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB18)) | (~(((~v90(constB18, bitIndex2)) <=> v129(constB18, bitIndex2)) | ((~v90(constB18, bitIndex1)) <=> v129(constB18, bitIndex1)) | ((~v90(constB18, bitIndex0)) <=> v129(constB18, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB18)) | (~(((~v90(constB18, bitIndex0)) <=> v129(constB18, bitIndex0)) | ((~v90(constB18, bitIndex2)) <=> v129(constB18, bitIndex2)) | ((~v90(constB18, bitIndex1)) <=> v129(constB18, bitIndex1)))))),
% 7.01/5.01 inference(transitivity,[status(thm)],[4818, 4816])).
% 7.01/5.01 tff(4820,plain,
% 7.01/5.01 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB18)) | (~(((~v90(constB18, bitIndex2)) <=> v129(constB18, bitIndex2)) | ((~v90(constB18, bitIndex1)) <=> v129(constB18, bitIndex1)) | ((~v90(constB18, bitIndex0)) <=> v129(constB18, bitIndex0)))))),
% 7.01/5.01 inference(quant_inst,[status(thm)],[])).
% 7.01/5.01 tff(4821,plain,
% 7.01/5.01 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB18)) | (~(((~v90(constB18, bitIndex0)) <=> v129(constB18, bitIndex0)) | ((~v90(constB18, bitIndex2)) <=> v129(constB18, bitIndex2)) | ((~v90(constB18, bitIndex1)) <=> v129(constB18, bitIndex1))))),
% 7.01/5.01 inference(modus_ponens,[status(thm)],[4820, 4819])).
% 7.01/5.01 tff(4822,plain,
% 7.01/5.01 ((~v100(constB18)) | (~(((~v90(constB18, bitIndex0)) <=> v129(constB18, bitIndex0)) | ((~v90(constB18, bitIndex2)) <=> v129(constB18, bitIndex2)) | ((~v90(constB18, bitIndex1)) <=> v129(constB18, bitIndex1))))),
% 7.01/5.01 inference(unit_resolution,[status(thm)],[4821, 3429])).
% 7.01/5.01 tff(4823,plain,
% 7.01/5.01 (~(((~v90(constB18, bitIndex0)) <=> v129(constB18, bitIndex0)) | ((~v90(constB18, bitIndex2)) <=> v129(constB18, bitIndex2)) | ((~v90(constB18, bitIndex1)) <=> v129(constB18, bitIndex1)))),
% 7.01/5.01 inference(unit_resolution,[status(thm)],[4822, 4815])).
% 7.01/5.01 tff(4824,plain,
% 7.01/5.01 ((((~v90(constB18, bitIndex0)) <=> v129(constB18, bitIndex0)) | ((~v90(constB18, bitIndex2)) <=> v129(constB18, bitIndex2)) | ((~v90(constB18, bitIndex1)) <=> v129(constB18, bitIndex1))) | (~((~v90(constB18, bitIndex2)) <=> v129(constB18, bitIndex2)))),
% 7.01/5.01 inference(tautology,[status(thm)],[])).
% 7.01/5.01 tff(4825,plain,
% 7.01/5.01 (~((~v90(constB18, bitIndex2)) <=> v129(constB18, bitIndex2))),
% 7.01/5.01 inference(unit_resolution,[status(thm)],[4824, 4823])).
% 7.01/5.01 tff(4826,plain,
% 7.01/5.01 (((~v90(constB18, bitIndex2)) <=> v129(constB18, bitIndex2)) | (~v90(constB18, bitIndex2)) | v129(constB18, bitIndex2)),
% 7.01/5.01 inference(tautology,[status(thm)],[])).
% 7.01/5.01 tff(4827,plain,
% 7.01/5.01 (~v90(constB18, bitIndex2)),
% 7.01/5.01 inference(unit_resolution,[status(thm)],[4826, 4825, 4719])).
% 7.01/5.01 tff(4828,plain,
% 7.01/5.01 (((~v90(constB19, bitIndex2)) <=> v90(constB18, bitIndex2)) | (~v90(constB19, bitIndex2)) | v90(constB18, bitIndex2)),
% 7.01/5.01 inference(tautology,[status(thm)],[])).
% 7.01/5.01 tff(4829,plain,
% 7.01/5.01 (~v90(constB19, bitIndex2)),
% 7.01/5.01 inference(unit_resolution,[status(thm)],[4828, 4827, 2601])).
% 7.01/5.01 tff(4830,plain,
% 7.01/5.01 ((((~v90(constB19, bitIndex1)) <=> v90(constB18, bitIndex1)) | ((~v90(constB19, bitIndex2)) <=> v90(constB18, bitIndex2)) | ((~v90(constB19, bitIndex0)) <=> v90(constB18, bitIndex0))) | (~((~v90(constB19, bitIndex0)) <=> v90(constB18, bitIndex0)))),
% 7.01/5.01 inference(tautology,[status(thm)],[])).
% 7.01/5.01 tff(4831,plain,
% 7.01/5.01 (~((~v90(constB19, bitIndex0)) <=> v90(constB18, bitIndex0))),
% 7.01/5.01 inference(unit_resolution,[status(thm)],[4830, 2599])).
% 7.01/5.01 tff(4832,plain,
% 7.01/5.01 ((((~v129(constB18, bitIndex2)) <=> v127(constB17, bitIndex2)) | ((~v129(constB18, bitIndex1)) <=> v127(constB17, bitIndex1)) | ((~v129(constB18, bitIndex0)) <=> v127(constB17, bitIndex0))) | (~((~v129(constB18, bitIndex0)) <=> v127(constB17, bitIndex0)))),
% 7.01/5.01 inference(tautology,[status(thm)],[])).
% 7.01/5.01 tff(4833,plain,
% 7.01/5.01 (~((~v129(constB18, bitIndex0)) <=> v127(constB17, bitIndex0))),
% 7.01/5.01 inference(unit_resolution,[status(thm)],[4832, 2608])).
% 7.01/5.01 tff(4834,plain,
% 7.01/5.01 ((((~v127(constB17, bitIndex2)) <=> v130(constB17, bitIndex2)) | ((~v127(constB17, bitIndex1)) <=> v130(constB17, bitIndex1)) | ((~v127(constB17, bitIndex0)) <=> v130(constB17, bitIndex0))) | (~((~v127(constB17, bitIndex0)) <=> v130(constB17, bitIndex0)))),
% 7.01/5.01 inference(tautology,[status(thm)],[])).
% 7.01/5.01 tff(4835,plain,
% 7.01/5.01 (~((~v127(constB17, bitIndex0)) <=> v130(constB17, bitIndex0))),
% 7.01/5.01 inference(unit_resolution,[status(thm)],[4834, 2622])).
% 7.01/5.01 tff(4836,plain,
% 7.01/5.01 ((v130(constB17, bitIndex2) | v130(constB17, bitIndex0) | (~v130(constB17, bitIndex1))) | (~v130(constB17, bitIndex0))),
% 7.01/5.01 inference(tautology,[status(thm)],[])).
% 7.01/5.01 tff(4837,plain,
% 7.01/5.01 (~v130(constB17, bitIndex0)),
% 7.01/5.01 inference(unit_resolution,[status(thm)],[4836, 4713])).
% 7.01/5.01 tff(4838,plain,
% 7.01/5.01 (((~v127(constB17, bitIndex0)) <=> v130(constB17, bitIndex0)) | (~v127(constB17, bitIndex0)) | v130(constB17, bitIndex0)),
% 7.01/5.01 inference(tautology,[status(thm)],[])).
% 7.01/5.01 tff(4839,plain,
% 7.01/5.01 (~v127(constB17, bitIndex0)),
% 7.01/5.01 inference(unit_resolution,[status(thm)],[4838, 4837, 4835])).
% 7.01/5.01 tff(4840,plain,
% 7.01/5.01 (((~v129(constB18, bitIndex0)) <=> v127(constB17, bitIndex0)) | (~v129(constB18, bitIndex0)) | v127(constB17, bitIndex0)),
% 7.01/5.01 inference(tautology,[status(thm)],[])).
% 7.01/5.01 tff(4841,plain,
% 7.01/5.01 (~v129(constB18, bitIndex0)),
% 7.01/5.01 inference(unit_resolution,[status(thm)],[4840, 4839, 4833])).
% 7.01/5.01 tff(4842,plain,
% 7.01/5.01 ((((~v90(constB18, bitIndex0)) <=> v129(constB18, bitIndex0)) | ((~v90(constB18, bitIndex2)) <=> v129(constB18, bitIndex2)) | ((~v90(constB18, bitIndex1)) <=> v129(constB18, bitIndex1))) | (~((~v90(constB18, bitIndex0)) <=> v129(constB18, bitIndex0)))),
% 7.01/5.01 inference(tautology,[status(thm)],[])).
% 7.01/5.01 tff(4843,plain,
% 7.01/5.01 (~((~v90(constB18, bitIndex0)) <=> v129(constB18, bitIndex0))),
% 7.01/5.01 inference(unit_resolution,[status(thm)],[4842, 4823])).
% 7.01/5.01 tff(4844,plain,
% 7.01/5.01 (((~v90(constB18, bitIndex0)) <=> v129(constB18, bitIndex0)) | (~v90(constB18, bitIndex0)) | v129(constB18, bitIndex0)),
% 7.01/5.01 inference(tautology,[status(thm)],[])).
% 7.01/5.01 tff(4845,plain,
% 7.01/5.01 (~v90(constB18, bitIndex0)),
% 7.01/5.01 inference(unit_resolution,[status(thm)],[4844, 4843, 4841])).
% 7.01/5.01 tff(4846,plain,
% 7.01/5.01 (((~v90(constB19, bitIndex0)) <=> v90(constB18, bitIndex0)) | (~v90(constB19, bitIndex0)) | v90(constB18, bitIndex0)),
% 7.01/5.01 inference(tautology,[status(thm)],[])).
% 7.01/5.01 tff(4847,plain,
% 7.01/5.01 (~v90(constB19, bitIndex0)),
% 7.01/5.01 inference(unit_resolution,[status(thm)],[4846, 4845, 4831])).
% 7.01/5.01 tff(4848,plain,
% 7.01/5.01 ((((~v90(constB19, bitIndex1)) <=> v90(constB18, bitIndex1)) | ((~v90(constB19, bitIndex2)) <=> v90(constB18, bitIndex2)) | ((~v90(constB19, bitIndex0)) <=> v90(constB18, bitIndex0))) | (~((~v90(constB19, bitIndex1)) <=> v90(constB18, bitIndex1)))),
% 7.01/5.01 inference(tautology,[status(thm)],[])).
% 7.01/5.01 tff(4849,plain,
% 7.01/5.01 (~((~v90(constB19, bitIndex1)) <=> v90(constB18, bitIndex1))),
% 7.01/5.01 inference(unit_resolution,[status(thm)],[4848, 2599])).
% 7.01/5.01 tff(4850,plain,
% 7.01/5.01 ((((~v129(constB18, bitIndex2)) <=> v127(constB17, bitIndex2)) | ((~v129(constB18, bitIndex1)) <=> v127(constB17, bitIndex1)) | ((~v129(constB18, bitIndex0)) <=> v127(constB17, bitIndex0))) | (~((~v129(constB18, bitIndex1)) <=> v127(constB17, bitIndex1)))),
% 7.01/5.01 inference(tautology,[status(thm)],[])).
% 7.01/5.01 tff(4851,plain,
% 7.01/5.01 (~((~v129(constB18, bitIndex1)) <=> v127(constB17, bitIndex1))),
% 7.01/5.01 inference(unit_resolution,[status(thm)],[4850, 2608])).
% 7.01/5.01 tff(4852,plain,
% 7.01/5.01 ((((~v127(constB17, bitIndex2)) <=> v130(constB17, bitIndex2)) | ((~v127(constB17, bitIndex1)) <=> v130(constB17, bitIndex1)) | ((~v127(constB17, bitIndex0)) <=> v130(constB17, bitIndex0))) | (~((~v127(constB17, bitIndex1)) <=> v130(constB17, bitIndex1)))),
% 7.01/5.01 inference(tautology,[status(thm)],[])).
% 7.01/5.01 tff(4853,plain,
% 7.01/5.01 (~((~v127(constB17, bitIndex1)) <=> v130(constB17, bitIndex1))),
% 7.01/5.01 inference(unit_resolution,[status(thm)],[4852, 2622])).
% 7.01/5.01 tff(4854,plain,
% 7.01/5.01 ((v130(constB17, bitIndex2) | v130(constB17, bitIndex0) | (~v130(constB17, bitIndex1))) | v130(constB17, bitIndex1)),
% 7.01/5.01 inference(tautology,[status(thm)],[])).
% 7.01/5.01 tff(4855,plain,
% 7.01/5.01 (v130(constB17, bitIndex1)),
% 7.01/5.01 inference(unit_resolution,[status(thm)],[4854, 4713])).
% 7.01/5.01 tff(4856,plain,
% 7.01/5.01 (((~v127(constB17, bitIndex1)) <=> v130(constB17, bitIndex1)) | v127(constB17, bitIndex1) | (~v130(constB17, bitIndex1))),
% 7.01/5.01 inference(tautology,[status(thm)],[])).
% 7.01/5.01 tff(4857,plain,
% 7.01/5.01 (v127(constB17, bitIndex1)),
% 7.01/5.01 inference(unit_resolution,[status(thm)],[4856, 4855, 4853])).
% 7.01/5.01 tff(4858,plain,
% 7.01/5.01 (((~v129(constB18, bitIndex1)) <=> v127(constB17, bitIndex1)) | v129(constB18, bitIndex1) | (~v127(constB17, bitIndex1))),
% 7.01/5.01 inference(tautology,[status(thm)],[])).
% 7.01/5.01 tff(4859,plain,
% 7.01/5.01 (v129(constB18, bitIndex1)),
% 7.01/5.01 inference(unit_resolution,[status(thm)],[4858, 4857, 4851])).
% 7.01/5.01 tff(4860,plain,
% 7.01/5.01 ((((~v90(constB18, bitIndex0)) <=> v129(constB18, bitIndex0)) | ((~v90(constB18, bitIndex2)) <=> v129(constB18, bitIndex2)) | ((~v90(constB18, bitIndex1)) <=> v129(constB18, bitIndex1))) | (~((~v90(constB18, bitIndex1)) <=> v129(constB18, bitIndex1)))),
% 7.01/5.01 inference(tautology,[status(thm)],[])).
% 7.01/5.01 tff(4861,plain,
% 7.01/5.01 (~((~v90(constB18, bitIndex1)) <=> v129(constB18, bitIndex1))),
% 7.01/5.01 inference(unit_resolution,[status(thm)],[4860, 4823])).
% 7.01/5.01 tff(4862,plain,
% 7.01/5.01 (((~v90(constB18, bitIndex1)) <=> v129(constB18, bitIndex1)) | v90(constB18, bitIndex1) | (~v129(constB18, bitIndex1))),
% 7.01/5.01 inference(tautology,[status(thm)],[])).
% 7.01/5.01 tff(4863,plain,
% 7.01/5.01 (v90(constB18, bitIndex1)),
% 7.01/5.01 inference(unit_resolution,[status(thm)],[4862, 4861, 4859])).
% 7.01/5.01 tff(4864,plain,
% 7.01/5.01 (((~v90(constB19, bitIndex1)) <=> v90(constB18, bitIndex1)) | v90(constB19, bitIndex1) | (~v90(constB18, bitIndex1))),
% 7.01/5.01 inference(tautology,[status(thm)],[])).
% 7.01/5.01 tff(4865,plain,
% 7.01/5.01 (v90(constB19, bitIndex1)),
% 7.01/5.01 inference(unit_resolution,[status(thm)],[4864, 4863, 4849])).
% 7.01/5.01 tff(4866,plain,
% 7.01/5.01 ((~(v90(constB19, bitIndex2) | v90(constB19, bitIndex0) | (~v90(constB19, bitIndex1)))) | v90(constB19, bitIndex2) | v90(constB19, bitIndex0) | (~v90(constB19, bitIndex1))),
% 7.01/5.01 inference(tautology,[status(thm)],[])).
% 7.01/5.01 tff(4867,plain,
% 7.01/5.01 (~(v90(constB19, bitIndex2) | v90(constB19, bitIndex0) | (~v90(constB19, bitIndex1)))),
% 7.01/5.01 inference(unit_resolution,[status(thm)],[4866, 4865, 4847, 4829])).
% 7.01/5.01 tff(4868,plain,
% 7.01/5.01 ((~(v121(constB19) <=> (~(v90(constB19, bitIndex2) | v90(constB19, bitIndex0) | (~v90(constB19, bitIndex1)))))) | v121(constB19) | (v90(constB19, bitIndex2) | v90(constB19, bitIndex0) | (~v90(constB19, bitIndex1)))),
% 7.01/5.01 inference(tautology,[status(thm)],[])).
% 7.01/5.01 tff(4869,plain,
% 7.01/5.01 (v121(constB19)),
% 7.01/5.01 inference(unit_resolution,[status(thm)],[4868, 4867, 2565])).
% 7.01/5.01 tff(4870,plain,
% 7.01/5.01 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB19)) | (~(v130(constB19, bitIndex2) | (~v130(constB19, bitIndex1)) | (~v130(constB19, bitIndex0)))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | (~v121(constB19)) | (~(v130(constB19, bitIndex2) | (~v130(constB19, bitIndex1)) | (~v130(constB19, bitIndex0)))))),
% 7.01/5.01 inference(rewrite,[status(thm)],[])).
% 7.01/5.01 tff(4871,plain,
% 7.01/5.01 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB19)) | (~(v130(constB19, bitIndex2) | (~v130(constB19, bitIndex1)) | (~v130(constB19, bitIndex0)))))),
% 7.01/5.01 inference(quant_inst,[status(thm)],[])).
% 7.01/5.01 tff(4872,plain,
% 7.01/5.01 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | (~v121(constB19)) | (~(v130(constB19, bitIndex2) | (~v130(constB19, bitIndex1)) | (~v130(constB19, bitIndex0))))),
% 7.01/5.01 inference(modus_ponens,[status(thm)],[4871, 4870])).
% 7.01/5.01 tff(4873,plain,
% 7.01/5.01 ((~v121(constB19)) | (~(v130(constB19, bitIndex2) | (~v130(constB19, bitIndex1)) | (~v130(constB19, bitIndex0))))),
% 7.01/5.01 inference(unit_resolution,[status(thm)],[4872, 4055])).
% 7.01/5.01 tff(4874,plain,
% 7.01/5.01 (~(v130(constB19, bitIndex2) | (~v130(constB19, bitIndex1)) | (~v130(constB19, bitIndex0)))),
% 7.01/5.01 inference(unit_resolution,[status(thm)],[4873, 4869])).
% 7.01/5.01 tff(4875,plain,
% 7.01/5.01 ((v130(constB19, bitIndex2) | (~v130(constB19, bitIndex1)) | (~v130(constB19, bitIndex0))) | (~v130(constB19, bitIndex2))),
% 7.01/5.01 inference(tautology,[status(thm)],[])).
% 7.01/5.01 tff(4876,plain,
% 7.01/5.01 (~v130(constB19, bitIndex2)),
% 7.01/5.01 inference(unit_resolution,[status(thm)],[4875, 4874])).
% 7.01/5.01 tff(4877,plain,
% 7.01/5.01 (((~v127(constB19, bitIndex2)) <=> v130(constB19, bitIndex2)) | (~v127(constB19, bitIndex2)) | v130(constB19, bitIndex2)),
% 7.01/5.01 inference(tautology,[status(thm)],[])).
% 7.01/5.01 tff(4878,plain,
% 7.01/5.01 (~v127(constB19, bitIndex2)),
% 7.01/5.01 inference(unit_resolution,[status(thm)],[4877, 4876, 2558])).
% 7.01/5.01 tff(4879,plain,
% 7.01/5.01 (((~v129(constB20, bitIndex2)) <=> v127(constB19, bitIndex2)) | (~v129(constB20, bitIndex2)) | v127(constB19, bitIndex2)),
% 7.01/5.01 inference(tautology,[status(thm)],[])).
% 7.01/5.01 tff(4880,plain,
% 7.01/5.01 (~v129(constB20, bitIndex2)),
% 7.01/5.01 inference(unit_resolution,[status(thm)],[4879, 4878, 2544])).
% 7.01/5.01 tff(4881,plain,
% 7.01/5.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB19, constB20)) | (v100(constB20) <=> (~((~v101(constB20)) | (~v110(constB20))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB19, constB20)) | (v100(constB20) <=> (~((~v101(constB20)) | (~v110(constB20))))))),
% 7.01/5.01 inference(rewrite,[status(thm)],[])).
% 7.01/5.01 tff(4882,plain,
% 7.01/5.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB19, constB20)) | (v100(constB20) <=> (~((~v101(constB20)) | (~v110(constB20))))))),
% 7.01/5.01 inference(quant_inst,[status(thm)],[])).
% 7.01/5.01 tff(4883,plain,
% 7.01/5.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB19, constB20)) | (v100(constB20) <=> (~((~v101(constB20)) | (~v110(constB20)))))),
% 7.01/5.01 inference(modus_ponens,[status(thm)],[4882, 4881])).
% 7.01/5.01 tff(4884,plain,
% 7.01/5.01 (v100(constB20) <=> (~((~v101(constB20)) | (~v110(constB20))))),
% 7.01/5.01 inference(unit_resolution,[status(thm)],[4883, 2538, 445])).
% 7.01/5.01 tff(4885,plain,
% 7.01/5.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB19, constB20)) | (v101(constB20) <=> (~((~v1(constB20)) | (~v102(constB20))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB19, constB20)) | (v101(constB20) <=> (~((~v1(constB20)) | (~v102(constB20))))))),
% 7.01/5.01 inference(rewrite,[status(thm)],[])).
% 7.01/5.01 tff(4886,plain,
% 7.01/5.01 (((~nextState(constB19, constB20)) | (v101(constB20) <=> (~((~v102(constB20)) | (~v1(constB20)))))) <=> ((~nextState(constB19, constB20)) | (v101(constB20) <=> (~((~v1(constB20)) | (~v102(constB20))))))),
% 7.01/5.01 inference(rewrite,[status(thm)],[])).
% 7.01/5.01 tff(4887,plain,
% 7.01/5.01 (((~![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) <=> (~((~v1(constB20)) | (~v102(constB20)))))))),
% 7.01/5.01 inference(monotonicity,[status(thm)],[4886])).
% 7.01/5.01 tff(4888,plain,
% 7.01/5.01 (((~![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) <=> (~((~v1(constB20)) | (~v102(constB20))))))),
% 7.01/5.01 inference(transitivity,[status(thm)],[4887, 4885])).
% 7.01/5.01 tff(4889,plain,
% 7.01/5.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB19, constB20)) | (v101(constB20) <=> (~((~v102(constB20)) | (~v1(constB20))))))),
% 7.01/5.01 inference(quant_inst,[status(thm)],[])).
% 7.01/5.01 tff(4890,plain,
% 7.01/5.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB19, constB20)) | (v101(constB20) <=> (~((~v1(constB20)) | (~v102(constB20)))))),
% 7.01/5.01 inference(modus_ponens,[status(thm)],[4889, 4888])).
% 7.01/5.01 tff(4891,plain,
% 7.01/5.01 (v101(constB20) <=> (~((~v1(constB20)) | (~v102(constB20))))),
% 7.01/5.01 inference(unit_resolution,[status(thm)],[4890, 2538, 465])).
% 7.01/5.01 tff(4892,plain,
% 7.01/5.01 (((~![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)))),
% 7.01/5.01 inference(rewrite,[status(thm)],[])).
% 7.01/5.01 tff(4893,plain,
% 7.01/5.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB19, constB20)) | ((~v102(constB20)) <=> v104(constB20)))),
% 7.01/5.01 inference(quant_inst,[status(thm)],[])).
% 7.01/5.01 tff(4894,plain,
% 7.01/5.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB19, constB20)) | ((~v102(constB20)) <=> v104(constB20))),
% 7.01/5.01 inference(modus_ponens,[status(thm)],[4893, 4892])).
% 7.01/5.01 tff(4895,plain,
% 7.01/5.01 ((~v102(constB20)) <=> v104(constB20)),
% 7.01/5.01 inference(unit_resolution,[status(thm)],[4894, 2538, 3244])).
% 7.01/5.01 tff(4896,plain,
% 7.01/5.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB19, constB20)) | (v104(constB20) <=> v1(constB19)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB19, constB20)) | (v104(constB20) <=> v1(constB19)))),
% 7.01/5.01 inference(rewrite,[status(thm)],[])).
% 7.01/5.01 tff(4897,plain,
% 7.01/5.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB19, constB20)) | (v104(constB20) <=> v1(constB19)))),
% 7.01/5.01 inference(quant_inst,[status(thm)],[])).
% 7.01/5.01 tff(4898,plain,
% 7.01/5.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB19, constB20)) | (v104(constB20) <=> v1(constB19))),
% 7.01/5.01 inference(modus_ponens,[status(thm)],[4897, 4896])).
% 7.01/5.01 tff(4899,plain,
% 7.01/5.01 (v104(constB20) <=> v1(constB19)),
% 7.01/5.01 inference(unit_resolution,[status(thm)],[4898, 2538, 3258])).
% 7.01/5.01 tff(4900,plain,
% 7.01/5.01 ((~(v104(constB20) <=> v1(constB19))) | (~v104(constB20)) | v1(constB19)),
% 7.01/5.01 inference(tautology,[status(thm)],[])).
% 7.01/5.01 tff(4901,plain,
% 7.01/5.01 ((~(v104(constB20) <=> v1(constB19))) | (~v104(constB20))),
% 7.01/5.01 inference(unit_resolution,[status(thm)],[4900, 2582])).
% 7.01/5.01 tff(4902,plain,
% 7.01/5.01 (~v104(constB20)),
% 7.01/5.01 inference(unit_resolution,[status(thm)],[4901, 4899])).
% 7.01/5.01 tff(4903,plain,
% 7.01/5.01 ((~((~v102(constB20)) <=> v104(constB20))) | v102(constB20) | v104(constB20)),
% 7.01/5.01 inference(tautology,[status(thm)],[])).
% 7.01/5.01 tff(4904,plain,
% 7.01/5.01 (v102(constB20)),
% 7.01/5.01 inference(unit_resolution,[status(thm)],[4903, 4902, 4895])).
% 7.01/5.01 tff(4905,plain,
% 7.01/5.01 (v1(constB20) <=> v1(constB20)),
% 7.01/5.01 inference(rewrite,[status(thm)],[])).
% 7.01/5.01 tff(4906,axiom,(v1(constB20)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_20')).
% 7.01/5.01 tff(4907,plain,
% 7.01/5.01 (v1(constB20)),
% 7.01/5.01 inference(modus_ponens,[status(thm)],[4906, 4905])).
% 7.01/5.01 tff(4908,plain,
% 7.01/5.01 ((~((~v1(constB20)) | (~v102(constB20)))) | (~v1(constB20)) | (~v102(constB20))),
% 7.01/5.01 inference(tautology,[status(thm)],[])).
% 7.01/5.01 tff(4909,plain,
% 7.01/5.01 ((~((~v1(constB20)) | (~v102(constB20)))) | (~v102(constB20))),
% 7.01/5.01 inference(unit_resolution,[status(thm)],[4908, 4907])).
% 7.01/5.01 tff(4910,plain,
% 7.01/5.01 (~((~v1(constB20)) | (~v102(constB20)))),
% 7.01/5.01 inference(unit_resolution,[status(thm)],[4909, 4904])).
% 7.01/5.01 tff(4911,plain,
% 7.01/5.01 ((~(v101(constB20) <=> (~((~v1(constB20)) | (~v102(constB20)))))) | v101(constB20) | ((~v1(constB20)) | (~v102(constB20)))),
% 7.01/5.01 inference(tautology,[status(thm)],[])).
% 7.01/5.01 tff(4912,plain,
% 7.01/5.01 (v101(constB20)),
% 7.01/5.01 inference(unit_resolution,[status(thm)],[4911, 4910, 4891])).
% 7.01/5.01 tff(4913,plain,
% 7.01/5.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB19, constB20)) | (v110(constB20) <=> v108(constB19)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB19, constB20)) | (v110(constB20) <=> v108(constB19)))),
% 7.01/5.01 inference(rewrite,[status(thm)],[])).
% 7.01/5.01 tff(4914,plain,
% 7.01/5.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB19, constB20)) | (v110(constB20) <=> v108(constB19)))),
% 7.01/5.01 inference(quant_inst,[status(thm)],[])).
% 7.01/5.01 tff(4915,plain,
% 7.01/5.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB19, constB20)) | (v110(constB20) <=> v108(constB19))),
% 7.01/5.01 inference(modus_ponens,[status(thm)],[4914, 4913])).
% 7.01/5.01 tff(4916,plain,
% 7.01/5.01 (v110(constB20) <=> v108(constB19)),
% 7.01/5.01 inference(unit_resolution,[status(thm)],[4915, 2538, 3285])).
% 7.01/5.01 tff(4917,plain,
% 7.01/5.01 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB19) <=> (v111(constB19) | v112(constB19)))),
% 7.01/5.01 inference(quant_inst,[status(thm)],[])).
% 7.01/5.01 tff(4918,plain,
% 7.01/5.01 (v108(constB19) <=> (v111(constB19) | v112(constB19))),
% 7.01/5.01 inference(unit_resolution,[status(thm)],[4917, 3296])).
% 7.01/5.01 tff(4919,plain,
% 7.01/5.01 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB19) <=> (~((~v113(constB19)) | (~v126(constB19)))))),
% 7.01/5.01 inference(quant_inst,[status(thm)],[])).
% 7.01/5.01 tff(4920,plain,
% 7.01/5.01 (v112(constB19) <=> (~((~v113(constB19)) | (~v126(constB19))))),
% 7.01/5.01 inference(unit_resolution,[status(thm)],[4919, 3308])).
% 7.01/5.01 tff(4921,plain,
% 7.01/5.01 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB19) <=> (v114(constB19) | v125(constB19)))),
% 7.01/5.01 inference(quant_inst,[status(thm)],[])).
% 7.01/5.01 tff(4922,plain,
% 7.01/5.01 (v113(constB19) <=> (v114(constB19) | v125(constB19))),
% 7.01/5.01 inference(unit_resolution,[status(thm)],[4921, 3317])).
% 7.01/5.01 tff(4923,plain,
% 7.01/5.01 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB19) <=> (v115(constB19) | v124(constB19)))),
% 7.01/5.01 inference(quant_inst,[status(thm)],[])).
% 7.01/5.01 tff(4924,plain,
% 7.01/5.01 (v114(constB19) <=> (v115(constB19) | v124(constB19))),
% 7.01/5.01 inference(unit_resolution,[status(thm)],[4923, 3326])).
% 7.01/5.01 tff(4925,plain,
% 7.01/5.01 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB19) <=> (v116(constB19) | v123(constB19)))),
% 7.01/5.01 inference(quant_inst,[status(thm)],[])).
% 7.01/5.01 tff(4926,plain,
% 7.01/5.01 (v115(constB19) <=> (v116(constB19) | v123(constB19))),
% 7.01/5.01 inference(unit_resolution,[status(thm)],[4925, 3335])).
% 7.01/5.01 tff(4927,plain,
% 7.01/5.01 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB19) <=> (v117(constB19) | v122(constB19)))),
% 7.01/5.01 inference(quant_inst,[status(thm)],[])).
% 7.01/5.01 tff(4928,plain,
% 7.01/5.01 (v116(constB19) <=> (v117(constB19) | v122(constB19))),
% 7.01/5.01 inference(unit_resolution,[status(thm)],[4927, 3344])).
% 7.01/5.01 tff(4929,plain,
% 7.01/5.01 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB19) <=> (v118(constB19) | v121(constB19)))),
% 7.01/5.01 inference(quant_inst,[status(thm)],[])).
% 7.01/5.01 tff(4930,plain,
% 7.01/5.01 (v117(constB19) <=> (v118(constB19) | v121(constB19))),
% 7.01/5.01 inference(unit_resolution,[status(thm)],[4929, 3353])).
% 7.01/5.01 tff(4931,plain,
% 7.01/5.01 ((v118(constB19) | v121(constB19)) | (~v121(constB19))),
% 7.01/5.01 inference(tautology,[status(thm)],[])).
% 7.01/5.01 tff(4932,plain,
% 7.01/5.01 (v118(constB19) | v121(constB19)),
% 7.01/5.01 inference(unit_resolution,[status(thm)],[4931, 4869])).
% 7.01/5.01 tff(4933,plain,
% 7.01/5.01 ((~(v117(constB19) <=> (v118(constB19) | v121(constB19)))) | v117(constB19) | (~(v118(constB19) | v121(constB19)))),
% 7.01/5.01 inference(tautology,[status(thm)],[])).
% 7.01/5.01 tff(4934,plain,
% 7.01/5.01 (v117(constB19)),
% 7.01/5.01 inference(unit_resolution,[status(thm)],[4933, 4932, 4930])).
% 7.01/5.01 tff(4935,plain,
% 7.01/5.01 ((v117(constB19) | v122(constB19)) | (~v117(constB19))),
% 7.01/5.01 inference(tautology,[status(thm)],[])).
% 7.01/5.01 tff(4936,plain,
% 7.01/5.01 (v117(constB19) | v122(constB19)),
% 7.01/5.01 inference(unit_resolution,[status(thm)],[4935, 4934])).
% 7.01/5.01 tff(4937,plain,
% 7.01/5.01 ((~(v116(constB19) <=> (v117(constB19) | v122(constB19)))) | v116(constB19) | (~(v117(constB19) | v122(constB19)))),
% 7.01/5.01 inference(tautology,[status(thm)],[])).
% 7.01/5.01 tff(4938,plain,
% 7.01/5.01 (v116(constB19)),
% 7.01/5.01 inference(unit_resolution,[status(thm)],[4937, 4936, 4928])).
% 7.01/5.01 tff(4939,plain,
% 7.01/5.01 ((v116(constB19) | v123(constB19)) | (~v116(constB19))),
% 7.01/5.01 inference(tautology,[status(thm)],[])).
% 7.01/5.01 tff(4940,plain,
% 7.01/5.01 (v116(constB19) | v123(constB19)),
% 7.01/5.01 inference(unit_resolution,[status(thm)],[4939, 4938])).
% 7.01/5.01 tff(4941,plain,
% 7.01/5.01 ((~(v115(constB19) <=> (v116(constB19) | v123(constB19)))) | v115(constB19) | (~(v116(constB19) | v123(constB19)))),
% 7.01/5.01 inference(tautology,[status(thm)],[])).
% 7.01/5.01 tff(4942,plain,
% 7.01/5.01 (v115(constB19)),
% 7.01/5.01 inference(unit_resolution,[status(thm)],[4941, 4940, 4926])).
% 7.01/5.01 tff(4943,plain,
% 7.01/5.01 ((v115(constB19) | v124(constB19)) | (~v115(constB19))),
% 7.01/5.01 inference(tautology,[status(thm)],[])).
% 7.01/5.01 tff(4944,plain,
% 7.01/5.01 (v115(constB19) | v124(constB19)),
% 7.01/5.01 inference(unit_resolution,[status(thm)],[4943, 4942])).
% 7.01/5.01 tff(4945,plain,
% 7.01/5.01 ((~(v114(constB19) <=> (v115(constB19) | v124(constB19)))) | v114(constB19) | (~(v115(constB19) | v124(constB19)))),
% 7.01/5.01 inference(tautology,[status(thm)],[])).
% 7.01/5.01 tff(4946,plain,
% 7.01/5.01 (v114(constB19)),
% 7.01/5.01 inference(unit_resolution,[status(thm)],[4945, 4944, 4924])).
% 7.01/5.01 tff(4947,plain,
% 7.01/5.01 ((v114(constB19) | v125(constB19)) | (~v114(constB19))),
% 7.01/5.01 inference(tautology,[status(thm)],[])).
% 7.01/5.01 tff(4948,plain,
% 7.01/5.01 (v114(constB19) | v125(constB19)),
% 7.01/5.01 inference(unit_resolution,[status(thm)],[4947, 4946])).
% 7.01/5.01 tff(4949,plain,
% 7.01/5.01 ((~(v113(constB19) <=> (v114(constB19) | v125(constB19)))) | v113(constB19) | (~(v114(constB19) | v125(constB19)))),
% 7.01/5.01 inference(tautology,[status(thm)],[])).
% 7.01/5.01 tff(4950,plain,
% 7.01/5.01 (v113(constB19)),
% 7.01/5.01 inference(unit_resolution,[status(thm)],[4949, 4948, 4922])).
% 7.01/5.01 tff(4951,plain,
% 7.01/5.01 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB19)) <=> v111(constB19))),
% 7.01/5.01 inference(quant_inst,[status(thm)],[])).
% 7.01/5.01 tff(4952,plain,
% 7.01/5.01 ((~v126(constB19)) <=> v111(constB19)),
% 7.01/5.01 inference(unit_resolution,[status(thm)],[4951, 3396])).
% 7.01/5.01 tff(4953,plain,
% 7.01/5.01 ((~((~v126(constB19)) <=> v111(constB19))) | v126(constB19) | v111(constB19)),
% 7.01/5.01 inference(tautology,[status(thm)],[])).
% 7.01/5.01 tff(4954,plain,
% 7.01/5.01 ((~((~v126(constB19)) <=> v111(constB19))) | v126(constB19)),
% 7.01/5.01 inference(unit_resolution,[status(thm)],[4953, 2551])).
% 7.01/5.01 tff(4955,plain,
% 7.01/5.01 (v126(constB19)),
% 7.01/5.01 inference(unit_resolution,[status(thm)],[4954, 4952])).
% 7.01/5.01 tff(4956,plain,
% 7.01/5.01 ((~((~v113(constB19)) | (~v126(constB19)))) | (~v113(constB19)) | (~v126(constB19))),
% 7.01/5.01 inference(tautology,[status(thm)],[])).
% 7.01/5.01 tff(4957,plain,
% 7.01/5.01 ((~((~v113(constB19)) | (~v126(constB19)))) | (~v113(constB19))),
% 7.01/5.01 inference(unit_resolution,[status(thm)],[4956, 4955])).
% 7.01/5.01 tff(4958,plain,
% 7.01/5.01 (~((~v113(constB19)) | (~v126(constB19)))),
% 7.01/5.01 inference(unit_resolution,[status(thm)],[4957, 4950])).
% 7.01/5.01 tff(4959,plain,
% 7.01/5.01 ((~(v112(constB19) <=> (~((~v113(constB19)) | (~v126(constB19)))))) | v112(constB19) | ((~v113(constB19)) | (~v126(constB19)))),
% 7.01/5.01 inference(tautology,[status(thm)],[])).
% 7.01/5.01 tff(4960,plain,
% 7.01/5.01 (v112(constB19)),
% 7.01/5.01 inference(unit_resolution,[status(thm)],[4959, 4958, 4920])).
% 7.01/5.02 tff(4961,plain,
% 7.01/5.02 ((v111(constB19) | v112(constB19)) | (~v112(constB19))),
% 7.01/5.02 inference(tautology,[status(thm)],[])).
% 7.01/5.02 tff(4962,plain,
% 7.01/5.02 (v111(constB19) | v112(constB19)),
% 7.01/5.02 inference(unit_resolution,[status(thm)],[4961, 4960])).
% 7.01/5.02 tff(4963,plain,
% 7.01/5.02 ((~(v108(constB19) <=> (v111(constB19) | v112(constB19)))) | v108(constB19) | (~(v111(constB19) | v112(constB19)))),
% 7.01/5.02 inference(tautology,[status(thm)],[])).
% 7.01/5.02 tff(4964,plain,
% 7.01/5.02 (v108(constB19)),
% 7.01/5.02 inference(unit_resolution,[status(thm)],[4963, 4962, 4918])).
% 7.01/5.02 tff(4965,plain,
% 7.01/5.02 ((~(v110(constB20) <=> v108(constB19))) | v110(constB20) | (~v108(constB19))),
% 7.01/5.02 inference(tautology,[status(thm)],[])).
% 7.01/5.02 tff(4966,plain,
% 7.01/5.02 (v110(constB20)),
% 7.01/5.02 inference(unit_resolution,[status(thm)],[4965, 4964, 4916])).
% 7.01/5.02 tff(4967,plain,
% 7.01/5.02 ((~((~v101(constB20)) | (~v110(constB20)))) | (~v101(constB20)) | (~v110(constB20))),
% 7.01/5.02 inference(tautology,[status(thm)],[])).
% 7.01/5.02 tff(4968,plain,
% 7.01/5.02 (~((~v101(constB20)) | (~v110(constB20)))),
% 7.01/5.02 inference(unit_resolution,[status(thm)],[4967, 4966, 4912])).
% 7.01/5.02 tff(4969,plain,
% 7.01/5.02 ((~(v100(constB20) <=> (~((~v101(constB20)) | (~v110(constB20)))))) | v100(constB20) | ((~v101(constB20)) | (~v110(constB20)))),
% 7.01/5.02 inference(tautology,[status(thm)],[])).
% 7.01/5.02 tff(4970,plain,
% 7.01/5.02 (v100(constB20)),
% 7.01/5.02 inference(unit_resolution,[status(thm)],[4969, 4968, 4884])).
% 7.01/5.02 tff(4971,plain,
% 7.01/5.02 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB20)) | (~(((~v90(constB20, bitIndex2)) <=> v129(constB20, bitIndex2)) | ((~v90(constB20, bitIndex1)) <=> v129(constB20, bitIndex1)) | ((~v90(constB20, bitIndex0)) <=> v129(constB20, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB20)) | (~(((~v90(constB20, bitIndex2)) <=> v129(constB20, bitIndex2)) | ((~v90(constB20, bitIndex1)) <=> v129(constB20, bitIndex1)) | ((~v90(constB20, bitIndex0)) <=> v129(constB20, bitIndex0)))))),
% 7.01/5.02 inference(rewrite,[status(thm)],[])).
% 7.01/5.02 tff(4972,plain,
% 7.01/5.02 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB20)) | (~(((~v90(constB20, bitIndex2)) <=> v129(constB20, bitIndex2)) | ((~v90(constB20, bitIndex1)) <=> v129(constB20, bitIndex1)) | ((~v90(constB20, bitIndex0)) <=> v129(constB20, bitIndex0)))))),
% 7.01/5.02 inference(quant_inst,[status(thm)],[])).
% 7.01/5.02 tff(4973,plain,
% 7.01/5.02 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB20)) | (~(((~v90(constB20, bitIndex2)) <=> v129(constB20, bitIndex2)) | ((~v90(constB20, bitIndex1)) <=> v129(constB20, bitIndex1)) | ((~v90(constB20, bitIndex0)) <=> v129(constB20, bitIndex0))))),
% 7.01/5.02 inference(modus_ponens,[status(thm)],[4972, 4971])).
% 7.01/5.02 tff(4974,plain,
% 7.01/5.02 ((~v100(constB20)) | (~(((~v90(constB20, bitIndex2)) <=> v129(constB20, bitIndex2)) | ((~v90(constB20, bitIndex1)) <=> v129(constB20, bitIndex1)) | ((~v90(constB20, bitIndex0)) <=> v129(constB20, bitIndex0))))),
% 7.01/5.02 inference(unit_resolution,[status(thm)],[4973, 3429])).
% 7.01/5.02 tff(4975,plain,
% 7.01/5.02 (~(((~v90(constB20, bitIndex2)) <=> v129(constB20, bitIndex2)) | ((~v90(constB20, bitIndex1)) <=> v129(constB20, bitIndex1)) | ((~v90(constB20, bitIndex0)) <=> v129(constB20, bitIndex0)))),
% 7.01/5.02 inference(unit_resolution,[status(thm)],[4974, 4970])).
% 7.01/5.02 tff(4976,plain,
% 7.01/5.02 ((((~v90(constB20, bitIndex2)) <=> v129(constB20, bitIndex2)) | ((~v90(constB20, bitIndex1)) <=> v129(constB20, bitIndex1)) | ((~v90(constB20, bitIndex0)) <=> v129(constB20, bitIndex0))) | (~((~v90(constB20, bitIndex2)) <=> v129(constB20, bitIndex2)))),
% 7.01/5.02 inference(tautology,[status(thm)],[])).
% 7.01/5.02 tff(4977,plain,
% 7.01/5.02 (~((~v90(constB20, bitIndex2)) <=> v129(constB20, bitIndex2))),
% 7.01/5.02 inference(unit_resolution,[status(thm)],[4976, 4975])).
% 7.01/5.02 tff(4978,plain,
% 7.01/5.02 (((~v90(constB20, bitIndex2)) <=> v129(constB20, bitIndex2)) | (~v90(constB20, bitIndex2)) | v129(constB20, bitIndex2)),
% 7.01/5.02 inference(tautology,[status(thm)],[])).
% 7.01/5.02 tff(4979,plain,
% 7.01/5.02 (~v90(constB20, bitIndex2)),
% 7.01/5.02 inference(unit_resolution,[status(thm)],[4978, 4977, 4880])).
% 7.01/5.02 tff(4980,plain,
% 7.01/5.02 (((~v90(constB21, bitIndex2)) <=> v90(constB20, bitIndex2)) | (~v90(constB21, bitIndex2)) | v90(constB20, bitIndex2)),
% 7.01/5.02 inference(tautology,[status(thm)],[])).
% 7.01/5.02 tff(4981,plain,
% 7.01/5.02 (~v90(constB21, bitIndex2)),
% 7.01/5.02 inference(unit_resolution,[status(thm)],[4980, 4979, 2535])).
% 7.01/5.02 tff(4982,plain,
% 7.01/5.02 ((((~v90(constB21, bitIndex1)) <=> v90(constB20, bitIndex1)) | ((~v90(constB21, bitIndex2)) <=> v90(constB20, bitIndex2)) | ((~v90(constB21, bitIndex0)) <=> v90(constB20, bitIndex0))) | (~((~v90(constB21, bitIndex0)) <=> v90(constB20, bitIndex0)))),
% 7.01/5.02 inference(tautology,[status(thm)],[])).
% 7.01/5.02 tff(4983,plain,
% 7.01/5.02 (~((~v90(constB21, bitIndex0)) <=> v90(constB20, bitIndex0))),
% 7.01/5.02 inference(unit_resolution,[status(thm)],[4982, 2533])).
% 7.01/5.02 tff(4984,plain,
% 7.01/5.02 ((((~v129(constB20, bitIndex2)) <=> v127(constB19, bitIndex2)) | ((~v129(constB20, bitIndex1)) <=> v127(constB19, bitIndex1)) | ((~v129(constB20, bitIndex0)) <=> v127(constB19, bitIndex0))) | (~((~v129(constB20, bitIndex0)) <=> v127(constB19, bitIndex0)))),
% 7.01/5.02 inference(tautology,[status(thm)],[])).
% 7.01/5.02 tff(4985,plain,
% 7.01/5.02 (~((~v129(constB20, bitIndex0)) <=> v127(constB19, bitIndex0))),
% 7.01/5.02 inference(unit_resolution,[status(thm)],[4984, 2542])).
% 7.01/5.02 tff(4986,plain,
% 7.01/5.02 ((((~v127(constB19, bitIndex2)) <=> v130(constB19, bitIndex2)) | ((~v127(constB19, bitIndex1)) <=> v130(constB19, bitIndex1)) | ((~v127(constB19, bitIndex0)) <=> v130(constB19, bitIndex0))) | (~((~v127(constB19, bitIndex0)) <=> v130(constB19, bitIndex0)))),
% 7.01/5.02 inference(tautology,[status(thm)],[])).
% 7.01/5.02 tff(4987,plain,
% 7.01/5.02 (~((~v127(constB19, bitIndex0)) <=> v130(constB19, bitIndex0))),
% 7.01/5.02 inference(unit_resolution,[status(thm)],[4986, 2556])).
% 7.01/5.02 tff(4988,plain,
% 7.01/5.02 ((v130(constB19, bitIndex2) | (~v130(constB19, bitIndex1)) | (~v130(constB19, bitIndex0))) | v130(constB19, bitIndex0)),
% 7.01/5.02 inference(tautology,[status(thm)],[])).
% 7.01/5.02 tff(4989,plain,
% 7.01/5.02 (v130(constB19, bitIndex0)),
% 7.01/5.02 inference(unit_resolution,[status(thm)],[4988, 4874])).
% 7.01/5.02 tff(4990,plain,
% 7.01/5.02 (((~v127(constB19, bitIndex0)) <=> v130(constB19, bitIndex0)) | v127(constB19, bitIndex0) | (~v130(constB19, bitIndex0))),
% 7.01/5.02 inference(tautology,[status(thm)],[])).
% 7.01/5.02 tff(4991,plain,
% 7.01/5.02 (v127(constB19, bitIndex0)),
% 7.01/5.02 inference(unit_resolution,[status(thm)],[4990, 4989, 4987])).
% 7.01/5.02 tff(4992,plain,
% 7.01/5.02 (((~v129(constB20, bitIndex0)) <=> v127(constB19, bitIndex0)) | v129(constB20, bitIndex0) | (~v127(constB19, bitIndex0))),
% 7.01/5.02 inference(tautology,[status(thm)],[])).
% 7.01/5.02 tff(4993,plain,
% 7.01/5.02 (v129(constB20, bitIndex0)),
% 7.01/5.02 inference(unit_resolution,[status(thm)],[4992, 4991, 4985])).
% 7.01/5.02 tff(4994,plain,
% 7.01/5.02 ((((~v90(constB20, bitIndex2)) <=> v129(constB20, bitIndex2)) | ((~v90(constB20, bitIndex1)) <=> v129(constB20, bitIndex1)) | ((~v90(constB20, bitIndex0)) <=> v129(constB20, bitIndex0))) | (~((~v90(constB20, bitIndex0)) <=> v129(constB20, bitIndex0)))),
% 7.01/5.02 inference(tautology,[status(thm)],[])).
% 7.01/5.02 tff(4995,plain,
% 7.01/5.02 (~((~v90(constB20, bitIndex0)) <=> v129(constB20, bitIndex0))),
% 7.01/5.02 inference(unit_resolution,[status(thm)],[4994, 4975])).
% 7.01/5.02 tff(4996,plain,
% 7.01/5.02 (((~v90(constB20, bitIndex0)) <=> v129(constB20, bitIndex0)) | v90(constB20, bitIndex0) | (~v129(constB20, bitIndex0))),
% 7.01/5.02 inference(tautology,[status(thm)],[])).
% 7.01/5.02 tff(4997,plain,
% 7.01/5.02 (v90(constB20, bitIndex0)),
% 7.01/5.02 inference(unit_resolution,[status(thm)],[4996, 4995, 4993])).
% 7.01/5.02 tff(4998,plain,
% 7.01/5.02 (((~v90(constB21, bitIndex0)) <=> v90(constB20, bitIndex0)) | v90(constB21, bitIndex0) | (~v90(constB20, bitIndex0))),
% 7.01/5.02 inference(tautology,[status(thm)],[])).
% 7.01/5.02 tff(4999,plain,
% 7.01/5.02 (v90(constB21, bitIndex0)),
% 7.01/5.02 inference(unit_resolution,[status(thm)],[4998, 4997, 4983])).
% 7.01/5.02 tff(5000,plain,
% 7.01/5.02 ((((~v90(constB21, bitIndex1)) <=> v90(constB20, bitIndex1)) | ((~v90(constB21, bitIndex2)) <=> v90(constB20, bitIndex2)) | ((~v90(constB21, bitIndex0)) <=> v90(constB20, bitIndex0))) | (~((~v90(constB21, bitIndex1)) <=> v90(constB20, bitIndex1)))),
% 7.01/5.02 inference(tautology,[status(thm)],[])).
% 7.01/5.02 tff(5001,plain,
% 7.01/5.02 (~((~v90(constB21, bitIndex1)) <=> v90(constB20, bitIndex1))),
% 7.01/5.02 inference(unit_resolution,[status(thm)],[5000, 2533])).
% 7.01/5.02 tff(5002,plain,
% 7.01/5.02 ((((~v129(constB20, bitIndex2)) <=> v127(constB19, bitIndex2)) | ((~v129(constB20, bitIndex1)) <=> v127(constB19, bitIndex1)) | ((~v129(constB20, bitIndex0)) <=> v127(constB19, bitIndex0))) | (~((~v129(constB20, bitIndex1)) <=> v127(constB19, bitIndex1)))),
% 7.01/5.02 inference(tautology,[status(thm)],[])).
% 7.01/5.02 tff(5003,plain,
% 7.01/5.02 (~((~v129(constB20, bitIndex1)) <=> v127(constB19, bitIndex1))),
% 7.01/5.02 inference(unit_resolution,[status(thm)],[5002, 2542])).
% 7.01/5.02 tff(5004,plain,
% 7.01/5.02 ((((~v127(constB19, bitIndex2)) <=> v130(constB19, bitIndex2)) | ((~v127(constB19, bitIndex1)) <=> v130(constB19, bitIndex1)) | ((~v127(constB19, bitIndex0)) <=> v130(constB19, bitIndex0))) | (~((~v127(constB19, bitIndex1)) <=> v130(constB19, bitIndex1)))),
% 7.01/5.02 inference(tautology,[status(thm)],[])).
% 7.01/5.02 tff(5005,plain,
% 7.01/5.02 (~((~v127(constB19, bitIndex1)) <=> v130(constB19, bitIndex1))),
% 7.01/5.02 inference(unit_resolution,[status(thm)],[5004, 2556])).
% 7.01/5.02 tff(5006,plain,
% 7.01/5.02 ((v130(constB19, bitIndex2) | (~v130(constB19, bitIndex1)) | (~v130(constB19, bitIndex0))) | v130(constB19, bitIndex1)),
% 7.01/5.02 inference(tautology,[status(thm)],[])).
% 7.01/5.02 tff(5007,plain,
% 7.01/5.02 (v130(constB19, bitIndex1)),
% 7.01/5.02 inference(unit_resolution,[status(thm)],[5006, 4874])).
% 7.01/5.02 tff(5008,plain,
% 7.01/5.02 (((~v127(constB19, bitIndex1)) <=> v130(constB19, bitIndex1)) | v127(constB19, bitIndex1) | (~v130(constB19, bitIndex1))),
% 7.01/5.02 inference(tautology,[status(thm)],[])).
% 7.01/5.02 tff(5009,plain,
% 7.01/5.02 (v127(constB19, bitIndex1)),
% 7.01/5.02 inference(unit_resolution,[status(thm)],[5008, 5007, 5005])).
% 7.01/5.02 tff(5010,plain,
% 7.01/5.02 (((~v129(constB20, bitIndex1)) <=> v127(constB19, bitIndex1)) | v129(constB20, bitIndex1) | (~v127(constB19, bitIndex1))),
% 7.01/5.02 inference(tautology,[status(thm)],[])).
% 7.01/5.02 tff(5011,plain,
% 7.01/5.02 (v129(constB20, bitIndex1)),
% 7.01/5.02 inference(unit_resolution,[status(thm)],[5010, 5009, 5003])).
% 7.01/5.02 tff(5012,plain,
% 7.01/5.02 ((((~v90(constB20, bitIndex2)) <=> v129(constB20, bitIndex2)) | ((~v90(constB20, bitIndex1)) <=> v129(constB20, bitIndex1)) | ((~v90(constB20, bitIndex0)) <=> v129(constB20, bitIndex0))) | (~((~v90(constB20, bitIndex1)) <=> v129(constB20, bitIndex1)))),
% 7.01/5.02 inference(tautology,[status(thm)],[])).
% 7.01/5.02 tff(5013,plain,
% 7.01/5.02 (~((~v90(constB20, bitIndex1)) <=> v129(constB20, bitIndex1))),
% 7.01/5.02 inference(unit_resolution,[status(thm)],[5012, 4975])).
% 7.01/5.02 tff(5014,plain,
% 7.01/5.02 (((~v90(constB20, bitIndex1)) <=> v129(constB20, bitIndex1)) | v90(constB20, bitIndex1) | (~v129(constB20, bitIndex1))),
% 7.01/5.02 inference(tautology,[status(thm)],[])).
% 7.01/5.02 tff(5015,plain,
% 7.01/5.02 (v90(constB20, bitIndex1)),
% 7.01/5.02 inference(unit_resolution,[status(thm)],[5014, 5013, 5011])).
% 7.01/5.02 tff(5016,plain,
% 7.01/5.02 (((~v90(constB21, bitIndex1)) <=> v90(constB20, bitIndex1)) | v90(constB21, bitIndex1) | (~v90(constB20, bitIndex1))),
% 7.01/5.02 inference(tautology,[status(thm)],[])).
% 7.01/5.02 tff(5017,plain,
% 7.01/5.02 (v90(constB21, bitIndex1)),
% 7.01/5.02 inference(unit_resolution,[status(thm)],[5016, 5015, 5001])).
% 7.01/5.02 tff(5018,plain,
% 7.01/5.02 ((~(v90(constB21, bitIndex2) | (~v90(constB21, bitIndex1)) | (~v90(constB21, bitIndex0)))) | v90(constB21, bitIndex2) | (~v90(constB21, bitIndex1)) | (~v90(constB21, bitIndex0))),
% 7.01/5.02 inference(tautology,[status(thm)],[])).
% 7.01/5.02 tff(5019,plain,
% 7.01/5.02 (~(v90(constB21, bitIndex2) | (~v90(constB21, bitIndex1)) | (~v90(constB21, bitIndex0)))),
% 7.01/5.02 inference(unit_resolution,[status(thm)],[5018, 5017, 4999, 4981])).
% 7.01/5.02 tff(5020,plain,
% 7.01/5.02 ((~(v122(constB21) <=> (~(v90(constB21, bitIndex2) | (~v90(constB21, bitIndex1)) | (~v90(constB21, bitIndex0)))))) | v122(constB21) | (v90(constB21, bitIndex2) | (~v90(constB21, bitIndex1)) | (~v90(constB21, bitIndex0)))),
% 7.01/5.02 inference(tautology,[status(thm)],[])).
% 7.01/5.02 tff(5021,plain,
% 7.01/5.02 (v122(constB21)),
% 7.01/5.02 inference(unit_resolution,[status(thm)],[5020, 5019, 2499])).
% 7.01/5.02 tff(5022,plain,
% 7.01/5.02 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB21)) | (~(v130(constB21, bitIndex1) | v130(constB21, bitIndex0) | (~v130(constB21, bitIndex2)))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | (~v122(constB21)) | (~(v130(constB21, bitIndex1) | v130(constB21, bitIndex0) | (~v130(constB21, bitIndex2)))))),
% 7.01/5.02 inference(rewrite,[status(thm)],[])).
% 7.01/5.02 tff(5023,plain,
% 7.01/5.02 (((~v122(constB21)) | (~(v130(constB21, bitIndex0) | v130(constB21, bitIndex1) | (~v130(constB21, bitIndex2))))) <=> ((~v122(constB21)) | (~(v130(constB21, bitIndex1) | v130(constB21, bitIndex0) | (~v130(constB21, bitIndex2)))))),
% 7.01/5.02 inference(rewrite,[status(thm)],[])).
% 7.01/5.02 tff(5024,plain,
% 7.01/5.02 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB21)) | (~(v130(constB21, bitIndex0) | v130(constB21, bitIndex1) | (~v130(constB21, bitIndex2)))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB21)) | (~(v130(constB21, bitIndex1) | v130(constB21, bitIndex0) | (~v130(constB21, bitIndex2))))))),
% 7.01/5.02 inference(monotonicity,[status(thm)],[5023])).
% 7.01/5.02 tff(5025,plain,
% 7.01/5.02 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB21)) | (~(v130(constB21, bitIndex0) | v130(constB21, bitIndex1) | (~v130(constB21, bitIndex2)))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | (~v122(constB21)) | (~(v130(constB21, bitIndex1) | v130(constB21, bitIndex0) | (~v130(constB21, bitIndex2)))))),
% 7.01/5.02 inference(transitivity,[status(thm)],[5024, 5022])).
% 7.01/5.02 tff(5026,plain,
% 7.01/5.02 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB21)) | (~(v130(constB21, bitIndex0) | v130(constB21, bitIndex1) | (~v130(constB21, bitIndex2)))))),
% 7.01/5.02 inference(quant_inst,[status(thm)],[])).
% 7.01/5.02 tff(5027,plain,
% 7.01/5.02 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | (~v122(constB21)) | (~(v130(constB21, bitIndex1) | v130(constB21, bitIndex0) | (~v130(constB21, bitIndex2))))),
% 7.01/5.02 inference(modus_ponens,[status(thm)],[5026, 5025])).
% 7.01/5.02 tff(5028,plain,
% 7.01/5.02 ((~v122(constB21)) | (~(v130(constB21, bitIndex1) | v130(constB21, bitIndex0) | (~v130(constB21, bitIndex2))))),
% 7.01/5.02 inference(unit_resolution,[status(thm)],[5027, 4223])).
% 7.01/5.02 tff(5029,plain,
% 7.01/5.02 (~(v130(constB21, bitIndex1) | v130(constB21, bitIndex0) | (~v130(constB21, bitIndex2)))),
% 7.01/5.02 inference(unit_resolution,[status(thm)],[5028, 5021])).
% 7.01/5.02 tff(5030,plain,
% 7.01/5.02 ((v130(constB21, bitIndex1) | v130(constB21, bitIndex0) | (~v130(constB21, bitIndex2))) | v130(constB21, bitIndex2)),
% 7.01/5.02 inference(tautology,[status(thm)],[])).
% 7.01/5.02 tff(5031,plain,
% 7.01/5.02 (v130(constB21, bitIndex2)),
% 7.01/5.02 inference(unit_resolution,[status(thm)],[5030, 5029])).
% 7.01/5.02 tff(5032,plain,
% 7.01/5.02 (((~v127(constB21, bitIndex2)) <=> v130(constB21, bitIndex2)) | v127(constB21, bitIndex2) | (~v130(constB21, bitIndex2))),
% 7.01/5.02 inference(tautology,[status(thm)],[])).
% 7.01/5.02 tff(5033,plain,
% 7.01/5.02 (v127(constB21, bitIndex2)),
% 7.01/5.02 inference(unit_resolution,[status(thm)],[5032, 5031, 2492])).
% 7.01/5.02 tff(5034,plain,
% 7.01/5.02 (((~v129(constB22, bitIndex2)) <=> v127(constB21, bitIndex2)) | v129(constB22, bitIndex2) | (~v127(constB21, bitIndex2))),
% 7.01/5.02 inference(tautology,[status(thm)],[])).
% 7.01/5.02 tff(5035,plain,
% 7.01/5.02 (v129(constB22, bitIndex2)),
% 7.01/5.02 inference(unit_resolution,[status(thm)],[5034, 5033, 2478])).
% 7.01/5.02 tff(5036,plain,
% 7.01/5.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB21, constB22)) | (v100(constB22) <=> (~((~v101(constB22)) | (~v110(constB22))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB21, constB22)) | (v100(constB22) <=> (~((~v101(constB22)) | (~v110(constB22))))))),
% 7.01/5.02 inference(rewrite,[status(thm)],[])).
% 7.01/5.02 tff(5037,plain,
% 7.01/5.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB21, constB22)) | (v100(constB22) <=> (~((~v101(constB22)) | (~v110(constB22))))))),
% 7.01/5.02 inference(quant_inst,[status(thm)],[])).
% 7.01/5.02 tff(5038,plain,
% 7.01/5.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB21, constB22)) | (v100(constB22) <=> (~((~v101(constB22)) | (~v110(constB22)))))),
% 7.01/5.02 inference(modus_ponens,[status(thm)],[5037, 5036])).
% 7.01/5.02 tff(5039,plain,
% 7.01/5.02 (v100(constB22) <=> (~((~v101(constB22)) | (~v110(constB22))))),
% 7.01/5.02 inference(unit_resolution,[status(thm)],[5038, 2472, 445])).
% 7.01/5.02 tff(5040,plain,
% 7.01/5.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB21, constB22)) | (v101(constB22) <=> (~((~v1(constB22)) | (~v102(constB22))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB21, constB22)) | (v101(constB22) <=> (~((~v1(constB22)) | (~v102(constB22))))))),
% 7.01/5.02 inference(rewrite,[status(thm)],[])).
% 7.01/5.02 tff(5041,plain,
% 7.01/5.02 (((~nextState(constB21, constB22)) | (v101(constB22) <=> (~((~v102(constB22)) | (~v1(constB22)))))) <=> ((~nextState(constB21, constB22)) | (v101(constB22) <=> (~((~v1(constB22)) | (~v102(constB22))))))),
% 7.01/5.02 inference(rewrite,[status(thm)],[])).
% 7.01/5.02 tff(5042,plain,
% 7.01/5.02 (((~![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) <=> (~((~v1(constB22)) | (~v102(constB22)))))))),
% 7.01/5.02 inference(monotonicity,[status(thm)],[5041])).
% 7.01/5.02 tff(5043,plain,
% 7.01/5.02 (((~![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) <=> (~((~v1(constB22)) | (~v102(constB22))))))),
% 7.01/5.02 inference(transitivity,[status(thm)],[5042, 5040])).
% 7.01/5.02 tff(5044,plain,
% 7.01/5.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB21, constB22)) | (v101(constB22) <=> (~((~v102(constB22)) | (~v1(constB22))))))),
% 7.01/5.02 inference(quant_inst,[status(thm)],[])).
% 7.01/5.02 tff(5045,plain,
% 7.01/5.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB21, constB22)) | (v101(constB22) <=> (~((~v1(constB22)) | (~v102(constB22)))))),
% 7.01/5.02 inference(modus_ponens,[status(thm)],[5044, 5043])).
% 7.01/5.02 tff(5046,plain,
% 7.01/5.02 (v101(constB22) <=> (~((~v1(constB22)) | (~v102(constB22))))),
% 7.01/5.02 inference(unit_resolution,[status(thm)],[5045, 2472, 465])).
% 7.01/5.02 tff(5047,plain,
% 7.01/5.02 (((~![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)))),
% 7.01/5.02 inference(rewrite,[status(thm)],[])).
% 7.01/5.02 tff(5048,plain,
% 7.01/5.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB21, constB22)) | ((~v102(constB22)) <=> v104(constB22)))),
% 7.01/5.02 inference(quant_inst,[status(thm)],[])).
% 7.01/5.02 tff(5049,plain,
% 7.01/5.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB21, constB22)) | ((~v102(constB22)) <=> v104(constB22))),
% 7.01/5.02 inference(modus_ponens,[status(thm)],[5048, 5047])).
% 7.01/5.02 tff(5050,plain,
% 7.01/5.02 ((~v102(constB22)) <=> v104(constB22)),
% 7.01/5.02 inference(unit_resolution,[status(thm)],[5049, 2472, 3244])).
% 7.01/5.02 tff(5051,plain,
% 7.01/5.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB21, constB22)) | (v104(constB22) <=> v1(constB21)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB21, constB22)) | (v104(constB22) <=> v1(constB21)))),
% 7.01/5.02 inference(rewrite,[status(thm)],[])).
% 7.01/5.02 tff(5052,plain,
% 7.01/5.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB21, constB22)) | (v104(constB22) <=> v1(constB21)))),
% 7.01/5.02 inference(quant_inst,[status(thm)],[])).
% 7.01/5.02 tff(5053,plain,
% 7.01/5.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB21, constB22)) | (v104(constB22) <=> v1(constB21))),
% 7.01/5.02 inference(modus_ponens,[status(thm)],[5052, 5051])).
% 7.01/5.02 tff(5054,plain,
% 7.01/5.02 (v104(constB22) <=> v1(constB21)),
% 7.01/5.02 inference(unit_resolution,[status(thm)],[5053, 2472, 3258])).
% 7.01/5.02 tff(5055,plain,
% 7.01/5.02 ((~(v104(constB22) <=> v1(constB21))) | (~v104(constB22)) | v1(constB21)),
% 7.01/5.02 inference(tautology,[status(thm)],[])).
% 7.01/5.02 tff(5056,plain,
% 7.01/5.02 ((~(v104(constB22) <=> v1(constB21))) | (~v104(constB22))),
% 7.01/5.02 inference(unit_resolution,[status(thm)],[5055, 2516])).
% 7.01/5.02 tff(5057,plain,
% 7.01/5.02 (~v104(constB22)),
% 7.01/5.02 inference(unit_resolution,[status(thm)],[5056, 5054])).
% 7.01/5.02 tff(5058,plain,
% 7.01/5.02 ((~((~v102(constB22)) <=> v104(constB22))) | v102(constB22) | v104(constB22)),
% 7.01/5.02 inference(tautology,[status(thm)],[])).
% 7.01/5.02 tff(5059,plain,
% 7.01/5.02 (v102(constB22)),
% 7.01/5.02 inference(unit_resolution,[status(thm)],[5058, 5057, 5050])).
% 7.01/5.02 tff(5060,plain,
% 7.01/5.02 (v1(constB22) <=> v1(constB22)),
% 7.01/5.02 inference(rewrite,[status(thm)],[])).
% 7.01/5.02 tff(5061,axiom,(v1(constB22)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_22')).
% 7.01/5.02 tff(5062,plain,
% 7.01/5.02 (v1(constB22)),
% 7.01/5.02 inference(modus_ponens,[status(thm)],[5061, 5060])).
% 7.01/5.02 tff(5063,plain,
% 7.01/5.02 ((~((~v1(constB22)) | (~v102(constB22)))) | (~v1(constB22)) | (~v102(constB22))),
% 7.01/5.02 inference(tautology,[status(thm)],[])).
% 7.01/5.02 tff(5064,plain,
% 7.01/5.02 ((~((~v1(constB22)) | (~v102(constB22)))) | (~v102(constB22))),
% 7.01/5.02 inference(unit_resolution,[status(thm)],[5063, 5062])).
% 7.01/5.02 tff(5065,plain,
% 7.01/5.02 (~((~v1(constB22)) | (~v102(constB22)))),
% 7.01/5.02 inference(unit_resolution,[status(thm)],[5064, 5059])).
% 7.01/5.02 tff(5066,plain,
% 7.01/5.02 ((~(v101(constB22) <=> (~((~v1(constB22)) | (~v102(constB22)))))) | v101(constB22) | ((~v1(constB22)) | (~v102(constB22)))),
% 7.01/5.02 inference(tautology,[status(thm)],[])).
% 7.01/5.02 tff(5067,plain,
% 7.01/5.02 (v101(constB22)),
% 7.01/5.02 inference(unit_resolution,[status(thm)],[5066, 5065, 5046])).
% 7.01/5.02 tff(5068,plain,
% 7.01/5.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB21, constB22)) | (v110(constB22) <=> v108(constB21)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB21, constB22)) | (v110(constB22) <=> v108(constB21)))),
% 7.01/5.02 inference(rewrite,[status(thm)],[])).
% 7.01/5.02 tff(5069,plain,
% 7.01/5.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB21, constB22)) | (v110(constB22) <=> v108(constB21)))),
% 7.01/5.02 inference(quant_inst,[status(thm)],[])).
% 7.01/5.02 tff(5070,plain,
% 7.01/5.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB21, constB22)) | (v110(constB22) <=> v108(constB21))),
% 7.01/5.02 inference(modus_ponens,[status(thm)],[5069, 5068])).
% 7.01/5.02 tff(5071,plain,
% 7.01/5.02 (v110(constB22) <=> v108(constB21)),
% 7.01/5.02 inference(unit_resolution,[status(thm)],[5070, 2472, 3285])).
% 7.01/5.02 tff(5072,plain,
% 7.01/5.02 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB21) <=> (v111(constB21) | v112(constB21)))),
% 7.01/5.02 inference(quant_inst,[status(thm)],[])).
% 7.01/5.02 tff(5073,plain,
% 7.01/5.02 (v108(constB21) <=> (v111(constB21) | v112(constB21))),
% 7.01/5.02 inference(unit_resolution,[status(thm)],[5072, 3296])).
% 7.01/5.02 tff(5074,plain,
% 7.01/5.02 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB21) <=> (~((~v113(constB21)) | (~v126(constB21)))))),
% 7.01/5.02 inference(quant_inst,[status(thm)],[])).
% 7.01/5.02 tff(5075,plain,
% 7.01/5.02 (v112(constB21) <=> (~((~v113(constB21)) | (~v126(constB21))))),
% 7.01/5.02 inference(unit_resolution,[status(thm)],[5074, 3308])).
% 7.01/5.02 tff(5076,plain,
% 7.01/5.02 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB21) <=> (v114(constB21) | v125(constB21)))),
% 7.01/5.02 inference(quant_inst,[status(thm)],[])).
% 7.01/5.02 tff(5077,plain,
% 7.01/5.02 (v113(constB21) <=> (v114(constB21) | v125(constB21))),
% 7.01/5.02 inference(unit_resolution,[status(thm)],[5076, 3317])).
% 7.01/5.02 tff(5078,plain,
% 7.01/5.02 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB21) <=> (v115(constB21) | v124(constB21)))),
% 7.01/5.02 inference(quant_inst,[status(thm)],[])).
% 7.01/5.02 tff(5079,plain,
% 7.01/5.02 (v114(constB21) <=> (v115(constB21) | v124(constB21))),
% 7.01/5.02 inference(unit_resolution,[status(thm)],[5078, 3326])).
% 7.01/5.02 tff(5080,plain,
% 7.01/5.02 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB21) <=> (v116(constB21) | v123(constB21)))),
% 7.01/5.02 inference(quant_inst,[status(thm)],[])).
% 7.01/5.02 tff(5081,plain,
% 7.01/5.02 (v115(constB21) <=> (v116(constB21) | v123(constB21))),
% 7.01/5.02 inference(unit_resolution,[status(thm)],[5080, 3335])).
% 7.01/5.02 tff(5082,plain,
% 7.01/5.02 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB21) <=> (v117(constB21) | v122(constB21)))),
% 7.01/5.02 inference(quant_inst,[status(thm)],[])).
% 7.01/5.02 tff(5083,plain,
% 7.01/5.02 (v116(constB21) <=> (v117(constB21) | v122(constB21))),
% 7.01/5.02 inference(unit_resolution,[status(thm)],[5082, 3344])).
% 7.01/5.02 tff(5084,plain,
% 7.01/5.02 ((v117(constB21) | v122(constB21)) | (~v122(constB21))),
% 7.01/5.02 inference(tautology,[status(thm)],[])).
% 7.01/5.02 tff(5085,plain,
% 7.01/5.02 (v117(constB21) | v122(constB21)),
% 7.01/5.02 inference(unit_resolution,[status(thm)],[5084, 5021])).
% 7.01/5.02 tff(5086,plain,
% 7.01/5.02 ((~(v116(constB21) <=> (v117(constB21) | v122(constB21)))) | v116(constB21) | (~(v117(constB21) | v122(constB21)))),
% 7.01/5.02 inference(tautology,[status(thm)],[])).
% 7.01/5.02 tff(5087,plain,
% 7.01/5.02 (v116(constB21)),
% 7.01/5.02 inference(unit_resolution,[status(thm)],[5086, 5085, 5083])).
% 7.01/5.02 tff(5088,plain,
% 7.01/5.02 ((v116(constB21) | v123(constB21)) | (~v116(constB21))),
% 7.01/5.02 inference(tautology,[status(thm)],[])).
% 7.01/5.02 tff(5089,plain,
% 7.01/5.02 (v116(constB21) | v123(constB21)),
% 7.01/5.02 inference(unit_resolution,[status(thm)],[5088, 5087])).
% 7.01/5.02 tff(5090,plain,
% 7.01/5.02 ((~(v115(constB21) <=> (v116(constB21) | v123(constB21)))) | v115(constB21) | (~(v116(constB21) | v123(constB21)))),
% 7.01/5.02 inference(tautology,[status(thm)],[])).
% 7.01/5.02 tff(5091,plain,
% 7.01/5.02 (v115(constB21)),
% 7.01/5.02 inference(unit_resolution,[status(thm)],[5090, 5089, 5081])).
% 7.01/5.02 tff(5092,plain,
% 7.01/5.02 ((v115(constB21) | v124(constB21)) | (~v115(constB21))),
% 7.01/5.02 inference(tautology,[status(thm)],[])).
% 7.01/5.02 tff(5093,plain,
% 7.01/5.02 (v115(constB21) | v124(constB21)),
% 7.01/5.02 inference(unit_resolution,[status(thm)],[5092, 5091])).
% 7.01/5.02 tff(5094,plain,
% 7.01/5.02 ((~(v114(constB21) <=> (v115(constB21) | v124(constB21)))) | v114(constB21) | (~(v115(constB21) | v124(constB21)))),
% 7.01/5.02 inference(tautology,[status(thm)],[])).
% 7.01/5.02 tff(5095,plain,
% 7.01/5.02 (v114(constB21)),
% 7.01/5.02 inference(unit_resolution,[status(thm)],[5094, 5093, 5079])).
% 7.01/5.02 tff(5096,plain,
% 7.01/5.02 ((v114(constB21) | v125(constB21)) | (~v114(constB21))),
% 7.01/5.02 inference(tautology,[status(thm)],[])).
% 7.01/5.02 tff(5097,plain,
% 7.01/5.02 (v114(constB21) | v125(constB21)),
% 7.01/5.02 inference(unit_resolution,[status(thm)],[5096, 5095])).
% 7.01/5.02 tff(5098,plain,
% 7.01/5.02 ((~(v113(constB21) <=> (v114(constB21) | v125(constB21)))) | v113(constB21) | (~(v114(constB21) | v125(constB21)))),
% 7.01/5.02 inference(tautology,[status(thm)],[])).
% 7.01/5.02 tff(5099,plain,
% 7.01/5.02 (v113(constB21)),
% 7.01/5.02 inference(unit_resolution,[status(thm)],[5098, 5097, 5077])).
% 7.01/5.02 tff(5100,plain,
% 7.01/5.02 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB21)) <=> v111(constB21))),
% 7.01/5.02 inference(quant_inst,[status(thm)],[])).
% 7.01/5.02 tff(5101,plain,
% 7.01/5.02 ((~v126(constB21)) <=> v111(constB21)),
% 7.01/5.02 inference(unit_resolution,[status(thm)],[5100, 3396])).
% 7.01/5.02 tff(5102,plain,
% 7.01/5.02 ((~((~v126(constB21)) <=> v111(constB21))) | v126(constB21) | v111(constB21)),
% 7.01/5.02 inference(tautology,[status(thm)],[])).
% 7.01/5.02 tff(5103,plain,
% 7.01/5.02 ((~((~v126(constB21)) <=> v111(constB21))) | v126(constB21)),
% 7.01/5.02 inference(unit_resolution,[status(thm)],[5102, 2485])).
% 7.01/5.02 tff(5104,plain,
% 7.01/5.02 (v126(constB21)),
% 7.01/5.02 inference(unit_resolution,[status(thm)],[5103, 5101])).
% 7.01/5.02 tff(5105,plain,
% 7.01/5.02 ((~((~v113(constB21)) | (~v126(constB21)))) | (~v113(constB21)) | (~v126(constB21))),
% 7.01/5.02 inference(tautology,[status(thm)],[])).
% 7.01/5.02 tff(5106,plain,
% 7.01/5.02 ((~((~v113(constB21)) | (~v126(constB21)))) | (~v113(constB21))),
% 7.01/5.02 inference(unit_resolution,[status(thm)],[5105, 5104])).
% 7.01/5.02 tff(5107,plain,
% 7.01/5.02 (~((~v113(constB21)) | (~v126(constB21)))),
% 7.01/5.02 inference(unit_resolution,[status(thm)],[5106, 5099])).
% 7.01/5.02 tff(5108,plain,
% 7.01/5.02 ((~(v112(constB21) <=> (~((~v113(constB21)) | (~v126(constB21)))))) | v112(constB21) | ((~v113(constB21)) | (~v126(constB21)))),
% 7.01/5.02 inference(tautology,[status(thm)],[])).
% 7.01/5.02 tff(5109,plain,
% 7.01/5.02 (v112(constB21)),
% 7.01/5.02 inference(unit_resolution,[status(thm)],[5108, 5107, 5075])).
% 7.01/5.02 tff(5110,plain,
% 7.01/5.02 ((v111(constB21) | v112(constB21)) | (~v112(constB21))),
% 7.01/5.02 inference(tautology,[status(thm)],[])).
% 7.01/5.02 tff(5111,plain,
% 7.01/5.02 (v111(constB21) | v112(constB21)),
% 7.01/5.02 inference(unit_resolution,[status(thm)],[5110, 5109])).
% 7.01/5.02 tff(5112,plain,
% 7.01/5.02 ((~(v108(constB21) <=> (v111(constB21) | v112(constB21)))) | v108(constB21) | (~(v111(constB21) | v112(constB21)))),
% 7.01/5.02 inference(tautology,[status(thm)],[])).
% 7.01/5.02 tff(5113,plain,
% 7.01/5.02 (v108(constB21)),
% 7.01/5.02 inference(unit_resolution,[status(thm)],[5112, 5111, 5073])).
% 7.01/5.02 tff(5114,plain,
% 7.01/5.02 ((~(v110(constB22) <=> v108(constB21))) | v110(constB22) | (~v108(constB21))),
% 7.01/5.02 inference(tautology,[status(thm)],[])).
% 7.01/5.02 tff(5115,plain,
% 7.01/5.02 (v110(constB22)),
% 7.01/5.02 inference(unit_resolution,[status(thm)],[5114, 5113, 5071])).
% 7.01/5.02 tff(5116,plain,
% 7.01/5.02 ((~((~v101(constB22)) | (~v110(constB22)))) | (~v101(constB22)) | (~v110(constB22))),
% 7.01/5.02 inference(tautology,[status(thm)],[])).
% 7.01/5.02 tff(5117,plain,
% 7.01/5.02 (~((~v101(constB22)) | (~v110(constB22)))),
% 7.01/5.02 inference(unit_resolution,[status(thm)],[5116, 5115, 5067])).
% 7.01/5.02 tff(5118,plain,
% 7.01/5.02 ((~(v100(constB22) <=> (~((~v101(constB22)) | (~v110(constB22)))))) | v100(constB22) | ((~v101(constB22)) | (~v110(constB22)))),
% 7.01/5.02 inference(tautology,[status(thm)],[])).
% 7.01/5.02 tff(5119,plain,
% 7.01/5.02 (v100(constB22)),
% 7.01/5.02 inference(unit_resolution,[status(thm)],[5118, 5117, 5039])).
% 7.01/5.02 tff(5120,plain,
% 7.01/5.02 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB22)) | (~(((~v90(constB22, bitIndex0)) <=> v129(constB22, bitIndex0)) | ((~v90(constB22, bitIndex2)) <=> v129(constB22, bitIndex2)) | ((~v90(constB22, bitIndex1)) <=> v129(constB22, bitIndex1)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB22)) | (~(((~v90(constB22, bitIndex0)) <=> v129(constB22, bitIndex0)) | ((~v90(constB22, bitIndex2)) <=> v129(constB22, bitIndex2)) | ((~v90(constB22, bitIndex1)) <=> v129(constB22, bitIndex1)))))),
% 7.11/5.03 inference(rewrite,[status(thm)],[])).
% 7.11/5.03 tff(5121,plain,
% 7.11/5.03 (((~v100(constB22)) | (~(((~v90(constB22, bitIndex2)) <=> v129(constB22, bitIndex2)) | ((~v90(constB22, bitIndex1)) <=> v129(constB22, bitIndex1)) | ((~v90(constB22, bitIndex0)) <=> v129(constB22, bitIndex0))))) <=> ((~v100(constB22)) | (~(((~v90(constB22, bitIndex0)) <=> v129(constB22, bitIndex0)) | ((~v90(constB22, bitIndex2)) <=> v129(constB22, bitIndex2)) | ((~v90(constB22, bitIndex1)) <=> v129(constB22, bitIndex1)))))),
% 7.11/5.03 inference(rewrite,[status(thm)],[])).
% 7.11/5.03 tff(5122,plain,
% 7.11/5.03 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB22)) | (~(((~v90(constB22, bitIndex2)) <=> v129(constB22, bitIndex2)) | ((~v90(constB22, bitIndex1)) <=> v129(constB22, bitIndex1)) | ((~v90(constB22, bitIndex0)) <=> v129(constB22, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB22)) | (~(((~v90(constB22, bitIndex0)) <=> v129(constB22, bitIndex0)) | ((~v90(constB22, bitIndex2)) <=> v129(constB22, bitIndex2)) | ((~v90(constB22, bitIndex1)) <=> v129(constB22, bitIndex1))))))),
% 7.11/5.03 inference(monotonicity,[status(thm)],[5121])).
% 7.11/5.03 tff(5123,plain,
% 7.11/5.03 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB22)) | (~(((~v90(constB22, bitIndex2)) <=> v129(constB22, bitIndex2)) | ((~v90(constB22, bitIndex1)) <=> v129(constB22, bitIndex1)) | ((~v90(constB22, bitIndex0)) <=> v129(constB22, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB22)) | (~(((~v90(constB22, bitIndex0)) <=> v129(constB22, bitIndex0)) | ((~v90(constB22, bitIndex2)) <=> v129(constB22, bitIndex2)) | ((~v90(constB22, bitIndex1)) <=> v129(constB22, bitIndex1)))))),
% 7.11/5.03 inference(transitivity,[status(thm)],[5122, 5120])).
% 7.11/5.03 tff(5124,plain,
% 7.11/5.03 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB22)) | (~(((~v90(constB22, bitIndex2)) <=> v129(constB22, bitIndex2)) | ((~v90(constB22, bitIndex1)) <=> v129(constB22, bitIndex1)) | ((~v90(constB22, bitIndex0)) <=> v129(constB22, bitIndex0)))))),
% 7.11/5.03 inference(quant_inst,[status(thm)],[])).
% 7.11/5.03 tff(5125,plain,
% 7.11/5.03 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB22)) | (~(((~v90(constB22, bitIndex0)) <=> v129(constB22, bitIndex0)) | ((~v90(constB22, bitIndex2)) <=> v129(constB22, bitIndex2)) | ((~v90(constB22, bitIndex1)) <=> v129(constB22, bitIndex1))))),
% 7.11/5.03 inference(modus_ponens,[status(thm)],[5124, 5123])).
% 7.11/5.03 tff(5126,plain,
% 7.11/5.03 ((~v100(constB22)) | (~(((~v90(constB22, bitIndex0)) <=> v129(constB22, bitIndex0)) | ((~v90(constB22, bitIndex2)) <=> v129(constB22, bitIndex2)) | ((~v90(constB22, bitIndex1)) <=> v129(constB22, bitIndex1))))),
% 7.11/5.03 inference(unit_resolution,[status(thm)],[5125, 3429])).
% 7.11/5.03 tff(5127,plain,
% 7.11/5.03 (~(((~v90(constB22, bitIndex0)) <=> v129(constB22, bitIndex0)) | ((~v90(constB22, bitIndex2)) <=> v129(constB22, bitIndex2)) | ((~v90(constB22, bitIndex1)) <=> v129(constB22, bitIndex1)))),
% 7.11/5.03 inference(unit_resolution,[status(thm)],[5126, 5119])).
% 7.11/5.03 tff(5128,plain,
% 7.11/5.03 ((((~v90(constB22, bitIndex0)) <=> v129(constB22, bitIndex0)) | ((~v90(constB22, bitIndex2)) <=> v129(constB22, bitIndex2)) | ((~v90(constB22, bitIndex1)) <=> v129(constB22, bitIndex1))) | (~((~v90(constB22, bitIndex2)) <=> v129(constB22, bitIndex2)))),
% 7.11/5.03 inference(tautology,[status(thm)],[])).
% 7.11/5.03 tff(5129,plain,
% 7.11/5.03 (~((~v90(constB22, bitIndex2)) <=> v129(constB22, bitIndex2))),
% 7.11/5.03 inference(unit_resolution,[status(thm)],[5128, 5127])).
% 7.11/5.03 tff(5130,plain,
% 7.11/5.03 (((~v90(constB22, bitIndex2)) <=> v129(constB22, bitIndex2)) | v90(constB22, bitIndex2) | (~v129(constB22, bitIndex2))),
% 7.11/5.03 inference(tautology,[status(thm)],[])).
% 7.11/5.03 tff(5131,plain,
% 7.11/5.03 (v90(constB22, bitIndex2)),
% 7.11/5.03 inference(unit_resolution,[status(thm)],[5130, 5129, 5035])).
% 7.11/5.03 tff(5132,plain,
% 7.11/5.03 (((~v90(constB23, bitIndex2)) <=> v90(constB22, bitIndex2)) | v90(constB23, bitIndex2) | (~v90(constB22, bitIndex2))),
% 7.11/5.03 inference(tautology,[status(thm)],[])).
% 7.11/5.03 tff(5133,plain,
% 7.11/5.03 (v90(constB23, bitIndex2)),
% 7.11/5.03 inference(unit_resolution,[status(thm)],[5132, 5131, 2469])).
% 7.11/5.03 tff(5134,plain,
% 7.11/5.03 ((((~v90(constB23, bitIndex1)) <=> v90(constB22, bitIndex1)) | ((~v90(constB23, bitIndex2)) <=> v90(constB22, bitIndex2)) | ((~v90(constB23, bitIndex0)) <=> v90(constB22, bitIndex0))) | (~((~v90(constB23, bitIndex0)) <=> v90(constB22, bitIndex0)))),
% 7.11/5.03 inference(tautology,[status(thm)],[])).
% 7.11/5.03 tff(5135,plain,
% 7.11/5.03 (~((~v90(constB23, bitIndex0)) <=> v90(constB22, bitIndex0))),
% 7.11/5.03 inference(unit_resolution,[status(thm)],[5134, 2467])).
% 7.11/5.03 tff(5136,plain,
% 7.11/5.03 ((((~v129(constB22, bitIndex2)) <=> v127(constB21, bitIndex2)) | ((~v129(constB22, bitIndex1)) <=> v127(constB21, bitIndex1)) | ((~v129(constB22, bitIndex0)) <=> v127(constB21, bitIndex0))) | (~((~v129(constB22, bitIndex0)) <=> v127(constB21, bitIndex0)))),
% 7.11/5.03 inference(tautology,[status(thm)],[])).
% 7.11/5.03 tff(5137,plain,
% 7.11/5.03 (~((~v129(constB22, bitIndex0)) <=> v127(constB21, bitIndex0))),
% 7.11/5.03 inference(unit_resolution,[status(thm)],[5136, 2476])).
% 7.11/5.03 tff(5138,plain,
% 7.11/5.03 ((((~v127(constB21, bitIndex2)) <=> v130(constB21, bitIndex2)) | ((~v127(constB21, bitIndex1)) <=> v130(constB21, bitIndex1)) | ((~v127(constB21, bitIndex0)) <=> v130(constB21, bitIndex0))) | (~((~v127(constB21, bitIndex0)) <=> v130(constB21, bitIndex0)))),
% 7.11/5.03 inference(tautology,[status(thm)],[])).
% 7.11/5.03 tff(5139,plain,
% 7.11/5.03 (~((~v127(constB21, bitIndex0)) <=> v130(constB21, bitIndex0))),
% 7.11/5.03 inference(unit_resolution,[status(thm)],[5138, 2490])).
% 7.11/5.03 tff(5140,plain,
% 7.11/5.03 ((v130(constB21, bitIndex1) | v130(constB21, bitIndex0) | (~v130(constB21, bitIndex2))) | (~v130(constB21, bitIndex0))),
% 7.11/5.03 inference(tautology,[status(thm)],[])).
% 7.11/5.03 tff(5141,plain,
% 7.11/5.03 (~v130(constB21, bitIndex0)),
% 7.11/5.03 inference(unit_resolution,[status(thm)],[5140, 5029])).
% 7.11/5.03 tff(5142,plain,
% 7.11/5.03 (((~v127(constB21, bitIndex0)) <=> v130(constB21, bitIndex0)) | (~v127(constB21, bitIndex0)) | v130(constB21, bitIndex0)),
% 7.11/5.03 inference(tautology,[status(thm)],[])).
% 7.11/5.03 tff(5143,plain,
% 7.11/5.03 (~v127(constB21, bitIndex0)),
% 7.11/5.03 inference(unit_resolution,[status(thm)],[5142, 5141, 5139])).
% 7.11/5.03 tff(5144,plain,
% 7.11/5.03 (((~v129(constB22, bitIndex0)) <=> v127(constB21, bitIndex0)) | (~v129(constB22, bitIndex0)) | v127(constB21, bitIndex0)),
% 7.11/5.03 inference(tautology,[status(thm)],[])).
% 7.11/5.03 tff(5145,plain,
% 7.11/5.03 (~v129(constB22, bitIndex0)),
% 7.11/5.03 inference(unit_resolution,[status(thm)],[5144, 5143, 5137])).
% 7.11/5.03 tff(5146,plain,
% 7.11/5.03 ((((~v90(constB22, bitIndex0)) <=> v129(constB22, bitIndex0)) | ((~v90(constB22, bitIndex2)) <=> v129(constB22, bitIndex2)) | ((~v90(constB22, bitIndex1)) <=> v129(constB22, bitIndex1))) | (~((~v90(constB22, bitIndex0)) <=> v129(constB22, bitIndex0)))),
% 7.11/5.03 inference(tautology,[status(thm)],[])).
% 7.11/5.03 tff(5147,plain,
% 7.11/5.03 (~((~v90(constB22, bitIndex0)) <=> v129(constB22, bitIndex0))),
% 7.11/5.03 inference(unit_resolution,[status(thm)],[5146, 5127])).
% 7.11/5.03 tff(5148,plain,
% 7.11/5.03 (((~v90(constB22, bitIndex0)) <=> v129(constB22, bitIndex0)) | (~v90(constB22, bitIndex0)) | v129(constB22, bitIndex0)),
% 7.11/5.03 inference(tautology,[status(thm)],[])).
% 7.11/5.03 tff(5149,plain,
% 7.11/5.03 (~v90(constB22, bitIndex0)),
% 7.11/5.03 inference(unit_resolution,[status(thm)],[5148, 5147, 5145])).
% 7.11/5.03 tff(5150,plain,
% 7.11/5.03 (((~v90(constB23, bitIndex0)) <=> v90(constB22, bitIndex0)) | (~v90(constB23, bitIndex0)) | v90(constB22, bitIndex0)),
% 7.11/5.03 inference(tautology,[status(thm)],[])).
% 7.11/5.03 tff(5151,plain,
% 7.11/5.03 (~v90(constB23, bitIndex0)),
% 7.11/5.03 inference(unit_resolution,[status(thm)],[5150, 5149, 5135])).
% 7.11/5.03 tff(5152,plain,
% 7.11/5.03 ((((~v90(constB23, bitIndex1)) <=> v90(constB22, bitIndex1)) | ((~v90(constB23, bitIndex2)) <=> v90(constB22, bitIndex2)) | ((~v90(constB23, bitIndex0)) <=> v90(constB22, bitIndex0))) | (~((~v90(constB23, bitIndex1)) <=> v90(constB22, bitIndex1)))),
% 7.11/5.03 inference(tautology,[status(thm)],[])).
% 7.11/5.03 tff(5153,plain,
% 7.11/5.03 (~((~v90(constB23, bitIndex1)) <=> v90(constB22, bitIndex1))),
% 7.11/5.03 inference(unit_resolution,[status(thm)],[5152, 2467])).
% 7.11/5.03 tff(5154,plain,
% 7.11/5.03 ((((~v129(constB22, bitIndex2)) <=> v127(constB21, bitIndex2)) | ((~v129(constB22, bitIndex1)) <=> v127(constB21, bitIndex1)) | ((~v129(constB22, bitIndex0)) <=> v127(constB21, bitIndex0))) | (~((~v129(constB22, bitIndex1)) <=> v127(constB21, bitIndex1)))),
% 7.11/5.03 inference(tautology,[status(thm)],[])).
% 7.11/5.03 tff(5155,plain,
% 7.11/5.03 (~((~v129(constB22, bitIndex1)) <=> v127(constB21, bitIndex1))),
% 7.11/5.03 inference(unit_resolution,[status(thm)],[5154, 2476])).
% 7.11/5.03 tff(5156,plain,
% 7.11/5.03 ((((~v127(constB21, bitIndex2)) <=> v130(constB21, bitIndex2)) | ((~v127(constB21, bitIndex1)) <=> v130(constB21, bitIndex1)) | ((~v127(constB21, bitIndex0)) <=> v130(constB21, bitIndex0))) | (~((~v127(constB21, bitIndex1)) <=> v130(constB21, bitIndex1)))),
% 7.11/5.03 inference(tautology,[status(thm)],[])).
% 7.11/5.03 tff(5157,plain,
% 7.11/5.03 (~((~v127(constB21, bitIndex1)) <=> v130(constB21, bitIndex1))),
% 7.11/5.03 inference(unit_resolution,[status(thm)],[5156, 2490])).
% 7.11/5.03 tff(5158,plain,
% 7.11/5.03 ((v130(constB21, bitIndex1) | v130(constB21, bitIndex0) | (~v130(constB21, bitIndex2))) | (~v130(constB21, bitIndex1))),
% 7.11/5.03 inference(tautology,[status(thm)],[])).
% 7.11/5.03 tff(5159,plain,
% 7.11/5.03 (~v130(constB21, bitIndex1)),
% 7.11/5.03 inference(unit_resolution,[status(thm)],[5158, 5029])).
% 7.11/5.03 tff(5160,plain,
% 7.11/5.03 (((~v127(constB21, bitIndex1)) <=> v130(constB21, bitIndex1)) | (~v127(constB21, bitIndex1)) | v130(constB21, bitIndex1)),
% 7.11/5.03 inference(tautology,[status(thm)],[])).
% 7.11/5.03 tff(5161,plain,
% 7.11/5.03 (~v127(constB21, bitIndex1)),
% 7.11/5.03 inference(unit_resolution,[status(thm)],[5160, 5159, 5157])).
% 7.11/5.03 tff(5162,plain,
% 7.11/5.03 (((~v129(constB22, bitIndex1)) <=> v127(constB21, bitIndex1)) | (~v129(constB22, bitIndex1)) | v127(constB21, bitIndex1)),
% 7.11/5.03 inference(tautology,[status(thm)],[])).
% 7.11/5.03 tff(5163,plain,
% 7.11/5.03 (~v129(constB22, bitIndex1)),
% 7.11/5.03 inference(unit_resolution,[status(thm)],[5162, 5161, 5155])).
% 7.11/5.03 tff(5164,plain,
% 7.11/5.03 ((((~v90(constB22, bitIndex0)) <=> v129(constB22, bitIndex0)) | ((~v90(constB22, bitIndex2)) <=> v129(constB22, bitIndex2)) | ((~v90(constB22, bitIndex1)) <=> v129(constB22, bitIndex1))) | (~((~v90(constB22, bitIndex1)) <=> v129(constB22, bitIndex1)))),
% 7.11/5.03 inference(tautology,[status(thm)],[])).
% 7.11/5.03 tff(5165,plain,
% 7.11/5.03 (~((~v90(constB22, bitIndex1)) <=> v129(constB22, bitIndex1))),
% 7.11/5.03 inference(unit_resolution,[status(thm)],[5164, 5127])).
% 7.11/5.03 tff(5166,plain,
% 7.11/5.03 (((~v90(constB22, bitIndex1)) <=> v129(constB22, bitIndex1)) | (~v90(constB22, bitIndex1)) | v129(constB22, bitIndex1)),
% 7.11/5.03 inference(tautology,[status(thm)],[])).
% 7.11/5.03 tff(5167,plain,
% 7.11/5.03 (~v90(constB22, bitIndex1)),
% 7.11/5.03 inference(unit_resolution,[status(thm)],[5166, 5165, 5163])).
% 7.11/5.03 tff(5168,plain,
% 7.11/5.03 (((~v90(constB23, bitIndex1)) <=> v90(constB22, bitIndex1)) | (~v90(constB23, bitIndex1)) | v90(constB22, bitIndex1)),
% 7.11/5.03 inference(tautology,[status(thm)],[])).
% 7.11/5.03 tff(5169,plain,
% 7.11/5.03 (~v90(constB23, bitIndex1)),
% 7.11/5.03 inference(unit_resolution,[status(thm)],[5168, 5167, 5153])).
% 7.11/5.03 tff(5170,plain,
% 7.11/5.03 ((~(v90(constB23, bitIndex1) | v90(constB23, bitIndex0) | (~v90(constB23, bitIndex2)))) | v90(constB23, bitIndex1) | v90(constB23, bitIndex0) | (~v90(constB23, bitIndex2))),
% 7.11/5.03 inference(tautology,[status(thm)],[])).
% 7.11/5.03 tff(5171,plain,
% 7.11/5.03 (~(v90(constB23, bitIndex1) | v90(constB23, bitIndex0) | (~v90(constB23, bitIndex2)))),
% 7.11/5.03 inference(unit_resolution,[status(thm)],[5170, 5169, 5151, 5133])).
% 7.11/5.03 tff(5172,plain,
% 7.11/5.03 ((~(v123(constB23) <=> (~(v90(constB23, bitIndex1) | v90(constB23, bitIndex0) | (~v90(constB23, bitIndex2)))))) | v123(constB23) | (v90(constB23, bitIndex1) | v90(constB23, bitIndex0) | (~v90(constB23, bitIndex2)))),
% 7.11/5.03 inference(tautology,[status(thm)],[])).
% 7.11/5.03 tff(5173,plain,
% 7.11/5.03 (v123(constB23)),
% 7.11/5.03 inference(unit_resolution,[status(thm)],[5172, 5171, 2433])).
% 7.11/5.03 tff(5174,plain,
% 7.11/5.03 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | ((~v123(constB23)) | (~(v130(constB23, bitIndex0) | (~v130(constB23, bitIndex2)) | (~v130(constB23, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | (~v123(constB23)) | (~(v130(constB23, bitIndex0) | (~v130(constB23, bitIndex2)) | (~v130(constB23, bitIndex1)))))),
% 7.11/5.03 inference(rewrite,[status(thm)],[])).
% 7.11/5.03 tff(5175,plain,
% 7.11/5.03 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | ((~v123(constB23)) | (~(v130(constB23, bitIndex0) | (~v130(constB23, bitIndex2)) | (~v130(constB23, bitIndex1)))))),
% 7.11/5.03 inference(quant_inst,[status(thm)],[])).
% 7.11/5.03 tff(5176,plain,
% 7.11/5.03 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | (~v123(constB23)) | (~(v130(constB23, bitIndex0) | (~v130(constB23, bitIndex2)) | (~v130(constB23, bitIndex1))))),
% 7.11/5.03 inference(modus_ponens,[status(thm)],[5175, 5174])).
% 7.11/5.03 tff(5177,plain,
% 7.11/5.03 ((~v123(constB23)) | (~(v130(constB23, bitIndex0) | (~v130(constB23, bitIndex2)) | (~v130(constB23, bitIndex1))))),
% 7.11/5.03 inference(unit_resolution,[status(thm)],[5176, 3496])).
% 7.11/5.03 tff(5178,plain,
% 7.11/5.03 (~(v130(constB23, bitIndex0) | (~v130(constB23, bitIndex2)) | (~v130(constB23, bitIndex1)))),
% 7.11/5.03 inference(unit_resolution,[status(thm)],[5177, 5173])).
% 7.11/5.03 tff(5179,plain,
% 7.11/5.03 ((v130(constB23, bitIndex0) | (~v130(constB23, bitIndex2)) | (~v130(constB23, bitIndex1))) | v130(constB23, bitIndex2)),
% 7.11/5.03 inference(tautology,[status(thm)],[])).
% 7.11/5.03 tff(5180,plain,
% 7.11/5.03 (v130(constB23, bitIndex2)),
% 7.11/5.03 inference(unit_resolution,[status(thm)],[5179, 5178])).
% 7.11/5.03 tff(5181,plain,
% 7.11/5.03 (((~v127(constB23, bitIndex2)) <=> v130(constB23, bitIndex2)) | v127(constB23, bitIndex2) | (~v130(constB23, bitIndex2))),
% 7.11/5.03 inference(tautology,[status(thm)],[])).
% 7.11/5.03 tff(5182,plain,
% 7.11/5.03 (v127(constB23, bitIndex2)),
% 7.11/5.03 inference(unit_resolution,[status(thm)],[5181, 5180, 2426])).
% 7.11/5.03 tff(5183,plain,
% 7.11/5.03 (((~v129(constB24, bitIndex2)) <=> v127(constB23, bitIndex2)) | v129(constB24, bitIndex2) | (~v127(constB23, bitIndex2))),
% 7.11/5.03 inference(tautology,[status(thm)],[])).
% 7.11/5.03 tff(5184,plain,
% 7.11/5.03 (v129(constB24, bitIndex2)),
% 7.11/5.03 inference(unit_resolution,[status(thm)],[5183, 5182, 2412])).
% 7.11/5.03 tff(5185,plain,
% 7.11/5.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB23, constB24)) | (v100(constB24) <=> (~((~v101(constB24)) | (~v110(constB24))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB23, constB24)) | (v100(constB24) <=> (~((~v101(constB24)) | (~v110(constB24))))))),
% 7.11/5.03 inference(rewrite,[status(thm)],[])).
% 7.11/5.03 tff(5186,plain,
% 7.11/5.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB23, constB24)) | (v100(constB24) <=> (~((~v101(constB24)) | (~v110(constB24))))))),
% 7.11/5.03 inference(quant_inst,[status(thm)],[])).
% 7.11/5.03 tff(5187,plain,
% 7.11/5.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB23, constB24)) | (v100(constB24) <=> (~((~v101(constB24)) | (~v110(constB24)))))),
% 7.11/5.03 inference(modus_ponens,[status(thm)],[5186, 5185])).
% 7.11/5.03 tff(5188,plain,
% 7.11/5.03 (v100(constB24) <=> (~((~v101(constB24)) | (~v110(constB24))))),
% 7.11/5.03 inference(unit_resolution,[status(thm)],[5187, 2406, 445])).
% 7.11/5.03 tff(5189,plain,
% 7.11/5.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB23, constB24)) | (v101(constB24) <=> (~((~v1(constB24)) | (~v102(constB24))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB23, constB24)) | (v101(constB24) <=> (~((~v1(constB24)) | (~v102(constB24))))))),
% 7.11/5.03 inference(rewrite,[status(thm)],[])).
% 7.11/5.03 tff(5190,plain,
% 7.11/5.03 (((~nextState(constB23, constB24)) | (v101(constB24) <=> (~((~v102(constB24)) | (~v1(constB24)))))) <=> ((~nextState(constB23, constB24)) | (v101(constB24) <=> (~((~v1(constB24)) | (~v102(constB24))))))),
% 7.11/5.03 inference(rewrite,[status(thm)],[])).
% 7.11/5.03 tff(5191,plain,
% 7.11/5.03 (((~![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) <=> (~((~v1(constB24)) | (~v102(constB24)))))))),
% 7.11/5.03 inference(monotonicity,[status(thm)],[5190])).
% 7.11/5.03 tff(5192,plain,
% 7.11/5.03 (((~![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) <=> (~((~v1(constB24)) | (~v102(constB24))))))),
% 7.11/5.03 inference(transitivity,[status(thm)],[5191, 5189])).
% 7.11/5.03 tff(5193,plain,
% 7.11/5.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB23, constB24)) | (v101(constB24) <=> (~((~v102(constB24)) | (~v1(constB24))))))),
% 7.11/5.03 inference(quant_inst,[status(thm)],[])).
% 7.11/5.03 tff(5194,plain,
% 7.11/5.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB23, constB24)) | (v101(constB24) <=> (~((~v1(constB24)) | (~v102(constB24)))))),
% 7.11/5.03 inference(modus_ponens,[status(thm)],[5193, 5192])).
% 7.11/5.03 tff(5195,plain,
% 7.11/5.03 (v101(constB24) <=> (~((~v1(constB24)) | (~v102(constB24))))),
% 7.11/5.03 inference(unit_resolution,[status(thm)],[5194, 2406, 465])).
% 7.11/5.03 tff(5196,plain,
% 7.11/5.03 (((~![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)))),
% 7.11/5.03 inference(rewrite,[status(thm)],[])).
% 7.11/5.03 tff(5197,plain,
% 7.11/5.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB23, constB24)) | ((~v102(constB24)) <=> v104(constB24)))),
% 7.11/5.03 inference(quant_inst,[status(thm)],[])).
% 7.11/5.03 tff(5198,plain,
% 7.11/5.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB23, constB24)) | ((~v102(constB24)) <=> v104(constB24))),
% 7.11/5.03 inference(modus_ponens,[status(thm)],[5197, 5196])).
% 7.11/5.03 tff(5199,plain,
% 7.11/5.03 ((~v102(constB24)) <=> v104(constB24)),
% 7.11/5.03 inference(unit_resolution,[status(thm)],[5198, 2406, 3244])).
% 7.11/5.03 tff(5200,plain,
% 7.11/5.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB23, constB24)) | (v104(constB24) <=> v1(constB23)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB23, constB24)) | (v104(constB24) <=> v1(constB23)))),
% 7.11/5.03 inference(rewrite,[status(thm)],[])).
% 7.11/5.03 tff(5201,plain,
% 7.11/5.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB23, constB24)) | (v104(constB24) <=> v1(constB23)))),
% 7.11/5.03 inference(quant_inst,[status(thm)],[])).
% 7.11/5.03 tff(5202,plain,
% 7.11/5.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB23, constB24)) | (v104(constB24) <=> v1(constB23))),
% 7.11/5.03 inference(modus_ponens,[status(thm)],[5201, 5200])).
% 7.11/5.03 tff(5203,plain,
% 7.11/5.03 (v104(constB24) <=> v1(constB23)),
% 7.11/5.03 inference(unit_resolution,[status(thm)],[5202, 2406, 3258])).
% 7.11/5.03 tff(5204,plain,
% 7.11/5.03 ((~(v104(constB24) <=> v1(constB23))) | (~v104(constB24)) | v1(constB23)),
% 7.11/5.03 inference(tautology,[status(thm)],[])).
% 7.11/5.03 tff(5205,plain,
% 7.11/5.03 ((~(v104(constB24) <=> v1(constB23))) | (~v104(constB24))),
% 7.11/5.03 inference(unit_resolution,[status(thm)],[5204, 2450])).
% 7.11/5.03 tff(5206,plain,
% 7.11/5.03 (~v104(constB24)),
% 7.11/5.03 inference(unit_resolution,[status(thm)],[5205, 5203])).
% 7.11/5.03 tff(5207,plain,
% 7.11/5.03 ((~((~v102(constB24)) <=> v104(constB24))) | v102(constB24) | v104(constB24)),
% 7.11/5.03 inference(tautology,[status(thm)],[])).
% 7.11/5.03 tff(5208,plain,
% 7.11/5.03 (v102(constB24)),
% 7.11/5.03 inference(unit_resolution,[status(thm)],[5207, 5206, 5199])).
% 7.11/5.03 tff(5209,plain,
% 7.11/5.03 (v1(constB24) <=> v1(constB24)),
% 7.11/5.03 inference(rewrite,[status(thm)],[])).
% 7.11/5.03 tff(5210,axiom,(v1(constB24)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_24')).
% 7.11/5.03 tff(5211,plain,
% 7.11/5.03 (v1(constB24)),
% 7.11/5.03 inference(modus_ponens,[status(thm)],[5210, 5209])).
% 7.11/5.03 tff(5212,plain,
% 7.11/5.03 ((~((~v1(constB24)) | (~v102(constB24)))) | (~v1(constB24)) | (~v102(constB24))),
% 7.11/5.03 inference(tautology,[status(thm)],[])).
% 7.11/5.03 tff(5213,plain,
% 7.11/5.03 ((~((~v1(constB24)) | (~v102(constB24)))) | (~v102(constB24))),
% 7.11/5.03 inference(unit_resolution,[status(thm)],[5212, 5211])).
% 7.11/5.03 tff(5214,plain,
% 7.11/5.03 (~((~v1(constB24)) | (~v102(constB24)))),
% 7.11/5.03 inference(unit_resolution,[status(thm)],[5213, 5208])).
% 7.11/5.03 tff(5215,plain,
% 7.11/5.03 ((~(v101(constB24) <=> (~((~v1(constB24)) | (~v102(constB24)))))) | v101(constB24) | ((~v1(constB24)) | (~v102(constB24)))),
% 7.11/5.03 inference(tautology,[status(thm)],[])).
% 7.11/5.03 tff(5216,plain,
% 7.11/5.03 (v101(constB24)),
% 7.11/5.03 inference(unit_resolution,[status(thm)],[5215, 5214, 5195])).
% 7.11/5.03 tff(5217,plain,
% 7.11/5.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB23, constB24)) | (v110(constB24) <=> v108(constB23)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB23, constB24)) | (v110(constB24) <=> v108(constB23)))),
% 7.11/5.03 inference(rewrite,[status(thm)],[])).
% 7.11/5.03 tff(5218,plain,
% 7.11/5.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB23, constB24)) | (v110(constB24) <=> v108(constB23)))),
% 7.11/5.03 inference(quant_inst,[status(thm)],[])).
% 7.11/5.03 tff(5219,plain,
% 7.11/5.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB23, constB24)) | (v110(constB24) <=> v108(constB23))),
% 7.11/5.03 inference(modus_ponens,[status(thm)],[5218, 5217])).
% 7.11/5.03 tff(5220,plain,
% 7.11/5.03 (v110(constB24) <=> v108(constB23)),
% 7.11/5.03 inference(unit_resolution,[status(thm)],[5219, 2406, 3285])).
% 7.11/5.03 tff(5221,plain,
% 7.11/5.03 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB23) <=> (v111(constB23) | v112(constB23)))),
% 7.11/5.03 inference(quant_inst,[status(thm)],[])).
% 7.11/5.03 tff(5222,plain,
% 7.11/5.03 (v108(constB23) <=> (v111(constB23) | v112(constB23))),
% 7.11/5.03 inference(unit_resolution,[status(thm)],[5221, 3296])).
% 7.11/5.03 tff(5223,plain,
% 7.11/5.03 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB23) <=> (~((~v113(constB23)) | (~v126(constB23)))))),
% 7.11/5.03 inference(quant_inst,[status(thm)],[])).
% 7.11/5.03 tff(5224,plain,
% 7.11/5.03 (v112(constB23) <=> (~((~v113(constB23)) | (~v126(constB23))))),
% 7.11/5.03 inference(unit_resolution,[status(thm)],[5223, 3308])).
% 7.11/5.03 tff(5225,plain,
% 7.11/5.03 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB23) <=> (v114(constB23) | v125(constB23)))),
% 7.11/5.03 inference(quant_inst,[status(thm)],[])).
% 7.11/5.03 tff(5226,plain,
% 7.11/5.03 (v113(constB23) <=> (v114(constB23) | v125(constB23))),
% 7.11/5.03 inference(unit_resolution,[status(thm)],[5225, 3317])).
% 7.11/5.03 tff(5227,plain,
% 7.11/5.03 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB23) <=> (v115(constB23) | v124(constB23)))),
% 7.11/5.03 inference(quant_inst,[status(thm)],[])).
% 7.11/5.03 tff(5228,plain,
% 7.11/5.03 (v114(constB23) <=> (v115(constB23) | v124(constB23))),
% 7.11/5.03 inference(unit_resolution,[status(thm)],[5227, 3326])).
% 7.11/5.03 tff(5229,plain,
% 7.11/5.03 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB23) <=> (v116(constB23) | v123(constB23)))),
% 7.11/5.03 inference(quant_inst,[status(thm)],[])).
% 7.11/5.03 tff(5230,plain,
% 7.11/5.03 (v115(constB23) <=> (v116(constB23) | v123(constB23))),
% 7.11/5.03 inference(unit_resolution,[status(thm)],[5229, 3335])).
% 7.11/5.03 tff(5231,plain,
% 7.11/5.03 ((v116(constB23) | v123(constB23)) | (~v123(constB23))),
% 7.11/5.03 inference(tautology,[status(thm)],[])).
% 7.11/5.03 tff(5232,plain,
% 7.11/5.03 (v116(constB23) | v123(constB23)),
% 7.11/5.03 inference(unit_resolution,[status(thm)],[5231, 5173])).
% 7.11/5.03 tff(5233,plain,
% 7.11/5.03 ((~(v115(constB23) <=> (v116(constB23) | v123(constB23)))) | v115(constB23) | (~(v116(constB23) | v123(constB23)))),
% 7.11/5.03 inference(tautology,[status(thm)],[])).
% 7.11/5.03 tff(5234,plain,
% 7.11/5.03 (v115(constB23)),
% 7.11/5.03 inference(unit_resolution,[status(thm)],[5233, 5232, 5230])).
% 7.11/5.03 tff(5235,plain,
% 7.11/5.03 ((v115(constB23) | v124(constB23)) | (~v115(constB23))),
% 7.11/5.03 inference(tautology,[status(thm)],[])).
% 7.11/5.03 tff(5236,plain,
% 7.11/5.03 (v115(constB23) | v124(constB23)),
% 7.11/5.03 inference(unit_resolution,[status(thm)],[5235, 5234])).
% 7.11/5.03 tff(5237,plain,
% 7.11/5.03 ((~(v114(constB23) <=> (v115(constB23) | v124(constB23)))) | v114(constB23) | (~(v115(constB23) | v124(constB23)))),
% 7.11/5.03 inference(tautology,[status(thm)],[])).
% 7.11/5.03 tff(5238,plain,
% 7.11/5.03 (v114(constB23)),
% 7.11/5.03 inference(unit_resolution,[status(thm)],[5237, 5236, 5228])).
% 7.11/5.03 tff(5239,plain,
% 7.11/5.03 ((v114(constB23) | v125(constB23)) | (~v114(constB23))),
% 7.11/5.03 inference(tautology,[status(thm)],[])).
% 7.11/5.03 tff(5240,plain,
% 7.11/5.03 (v114(constB23) | v125(constB23)),
% 7.11/5.03 inference(unit_resolution,[status(thm)],[5239, 5238])).
% 7.11/5.03 tff(5241,plain,
% 7.11/5.03 ((~(v113(constB23) <=> (v114(constB23) | v125(constB23)))) | v113(constB23) | (~(v114(constB23) | v125(constB23)))),
% 7.11/5.03 inference(tautology,[status(thm)],[])).
% 7.11/5.03 tff(5242,plain,
% 7.11/5.03 (v113(constB23)),
% 7.11/5.03 inference(unit_resolution,[status(thm)],[5241, 5240, 5226])).
% 7.11/5.03 tff(5243,plain,
% 7.11/5.03 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB23)) <=> v111(constB23))),
% 7.11/5.03 inference(quant_inst,[status(thm)],[])).
% 7.11/5.03 tff(5244,plain,
% 7.11/5.03 ((~v126(constB23)) <=> v111(constB23)),
% 7.11/5.03 inference(unit_resolution,[status(thm)],[5243, 3396])).
% 7.11/5.03 tff(5245,plain,
% 7.11/5.03 ((~((~v126(constB23)) <=> v111(constB23))) | v126(constB23) | v111(constB23)),
% 7.11/5.03 inference(tautology,[status(thm)],[])).
% 7.11/5.03 tff(5246,plain,
% 7.11/5.03 ((~((~v126(constB23)) <=> v111(constB23))) | v126(constB23)),
% 7.11/5.03 inference(unit_resolution,[status(thm)],[5245, 2419])).
% 7.11/5.03 tff(5247,plain,
% 7.11/5.03 (v126(constB23)),
% 7.11/5.03 inference(unit_resolution,[status(thm)],[5246, 5244])).
% 7.11/5.03 tff(5248,plain,
% 7.11/5.03 ((~((~v113(constB23)) | (~v126(constB23)))) | (~v113(constB23)) | (~v126(constB23))),
% 7.11/5.03 inference(tautology,[status(thm)],[])).
% 7.11/5.03 tff(5249,plain,
% 7.11/5.03 ((~((~v113(constB23)) | (~v126(constB23)))) | (~v113(constB23))),
% 7.11/5.03 inference(unit_resolution,[status(thm)],[5248, 5247])).
% 7.11/5.03 tff(5250,plain,
% 7.11/5.03 (~((~v113(constB23)) | (~v126(constB23)))),
% 7.11/5.03 inference(unit_resolution,[status(thm)],[5249, 5242])).
% 7.11/5.03 tff(5251,plain,
% 7.11/5.03 ((~(v112(constB23) <=> (~((~v113(constB23)) | (~v126(constB23)))))) | v112(constB23) | ((~v113(constB23)) | (~v126(constB23)))),
% 7.11/5.03 inference(tautology,[status(thm)],[])).
% 7.11/5.03 tff(5252,plain,
% 7.11/5.03 (v112(constB23)),
% 7.11/5.03 inference(unit_resolution,[status(thm)],[5251, 5250, 5224])).
% 7.11/5.03 tff(5253,plain,
% 7.11/5.03 ((v111(constB23) | v112(constB23)) | (~v112(constB23))),
% 7.11/5.03 inference(tautology,[status(thm)],[])).
% 7.11/5.03 tff(5254,plain,
% 7.11/5.03 (v111(constB23) | v112(constB23)),
% 7.11/5.03 inference(unit_resolution,[status(thm)],[5253, 5252])).
% 7.11/5.03 tff(5255,plain,
% 7.11/5.03 ((~(v108(constB23) <=> (v111(constB23) | v112(constB23)))) | v108(constB23) | (~(v111(constB23) | v112(constB23)))),
% 7.11/5.03 inference(tautology,[status(thm)],[])).
% 7.11/5.03 tff(5256,plain,
% 7.11/5.03 (v108(constB23)),
% 7.11/5.03 inference(unit_resolution,[status(thm)],[5255, 5254, 5222])).
% 7.11/5.03 tff(5257,plain,
% 7.11/5.03 ((~(v110(constB24) <=> v108(constB23))) | v110(constB24) | (~v108(constB23))),
% 7.11/5.03 inference(tautology,[status(thm)],[])).
% 7.11/5.03 tff(5258,plain,
% 7.11/5.03 (v110(constB24)),
% 7.11/5.03 inference(unit_resolution,[status(thm)],[5257, 5256, 5220])).
% 7.11/5.03 tff(5259,plain,
% 7.11/5.03 ((~((~v101(constB24)) | (~v110(constB24)))) | (~v101(constB24)) | (~v110(constB24))),
% 7.11/5.03 inference(tautology,[status(thm)],[])).
% 7.11/5.03 tff(5260,plain,
% 7.11/5.03 (~((~v101(constB24)) | (~v110(constB24)))),
% 7.11/5.03 inference(unit_resolution,[status(thm)],[5259, 5258, 5216])).
% 7.11/5.03 tff(5261,plain,
% 7.11/5.03 ((~(v100(constB24) <=> (~((~v101(constB24)) | (~v110(constB24)))))) | v100(constB24) | ((~v101(constB24)) | (~v110(constB24)))),
% 7.11/5.03 inference(tautology,[status(thm)],[])).
% 7.11/5.03 tff(5262,plain,
% 7.11/5.03 (v100(constB24)),
% 7.11/5.03 inference(unit_resolution,[status(thm)],[5261, 5260, 5188])).
% 7.11/5.03 tff(5263,plain,
% 7.11/5.03 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB24)) | (~(((~v90(constB24, bitIndex2)) <=> v129(constB24, bitIndex2)) | ((~v90(constB24, bitIndex1)) <=> v129(constB24, bitIndex1)) | ((~v90(constB24, bitIndex0)) <=> v129(constB24, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB24)) | (~(((~v90(constB24, bitIndex2)) <=> v129(constB24, bitIndex2)) | ((~v90(constB24, bitIndex1)) <=> v129(constB24, bitIndex1)) | ((~v90(constB24, bitIndex0)) <=> v129(constB24, bitIndex0)))))),
% 7.11/5.03 inference(rewrite,[status(thm)],[])).
% 7.11/5.03 tff(5264,plain,
% 7.11/5.03 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB24)) | (~(((~v90(constB24, bitIndex2)) <=> v129(constB24, bitIndex2)) | ((~v90(constB24, bitIndex1)) <=> v129(constB24, bitIndex1)) | ((~v90(constB24, bitIndex0)) <=> v129(constB24, bitIndex0)))))),
% 7.11/5.03 inference(quant_inst,[status(thm)],[])).
% 7.11/5.03 tff(5265,plain,
% 7.11/5.03 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB24)) | (~(((~v90(constB24, bitIndex2)) <=> v129(constB24, bitIndex2)) | ((~v90(constB24, bitIndex1)) <=> v129(constB24, bitIndex1)) | ((~v90(constB24, bitIndex0)) <=> v129(constB24, bitIndex0))))),
% 7.11/5.03 inference(modus_ponens,[status(thm)],[5264, 5263])).
% 7.11/5.03 tff(5266,plain,
% 7.11/5.03 ((~v100(constB24)) | (~(((~v90(constB24, bitIndex2)) <=> v129(constB24, bitIndex2)) | ((~v90(constB24, bitIndex1)) <=> v129(constB24, bitIndex1)) | ((~v90(constB24, bitIndex0)) <=> v129(constB24, bitIndex0))))),
% 7.11/5.03 inference(unit_resolution,[status(thm)],[5265, 3429])).
% 7.11/5.03 tff(5267,plain,
% 7.11/5.03 (~(((~v90(constB24, bitIndex2)) <=> v129(constB24, bitIndex2)) | ((~v90(constB24, bitIndex1)) <=> v129(constB24, bitIndex1)) | ((~v90(constB24, bitIndex0)) <=> v129(constB24, bitIndex0)))),
% 7.11/5.03 inference(unit_resolution,[status(thm)],[5266, 5262])).
% 7.11/5.03 tff(5268,plain,
% 7.11/5.03 ((((~v90(constB24, bitIndex2)) <=> v129(constB24, bitIndex2)) | ((~v90(constB24, bitIndex1)) <=> v129(constB24, bitIndex1)) | ((~v90(constB24, bitIndex0)) <=> v129(constB24, bitIndex0))) | (~((~v90(constB24, bitIndex2)) <=> v129(constB24, bitIndex2)))),
% 7.11/5.03 inference(tautology,[status(thm)],[])).
% 7.11/5.03 tff(5269,plain,
% 7.11/5.03 (~((~v90(constB24, bitIndex2)) <=> v129(constB24, bitIndex2))),
% 7.11/5.03 inference(unit_resolution,[status(thm)],[5268, 5267])).
% 7.11/5.03 tff(5270,plain,
% 7.11/5.04 (((~v90(constB24, bitIndex2)) <=> v129(constB24, bitIndex2)) | v90(constB24, bitIndex2) | (~v129(constB24, bitIndex2))),
% 7.11/5.04 inference(tautology,[status(thm)],[])).
% 7.11/5.04 tff(5271,plain,
% 7.11/5.04 (v90(constB24, bitIndex2)),
% 7.11/5.04 inference(unit_resolution,[status(thm)],[5270, 5269, 5184])).
% 7.11/5.04 tff(5272,plain,
% 7.11/5.04 (((~v90(constB25, bitIndex2)) <=> v90(constB24, bitIndex2)) | v90(constB25, bitIndex2) | (~v90(constB24, bitIndex2))),
% 7.11/5.04 inference(tautology,[status(thm)],[])).
% 7.11/5.04 tff(5273,plain,
% 7.11/5.04 (v90(constB25, bitIndex2)),
% 7.11/5.04 inference(unit_resolution,[status(thm)],[5272, 5271, 2403])).
% 7.11/5.04 tff(5274,plain,
% 7.11/5.04 ((v90(constB25, bitIndex0) | v90(constB25, bitIndex1) | v90(constB25, bitIndex2)) | (~v90(constB25, bitIndex2))),
% 7.11/5.04 inference(tautology,[status(thm)],[])).
% 7.11/5.04 tff(5275,plain,
% 7.11/5.04 (v90(constB25, bitIndex0) | v90(constB25, bitIndex1) | v90(constB25, bitIndex2)),
% 7.11/5.04 inference(unit_resolution,[status(thm)],[5274, 5273])).
% 7.11/5.04 tff(5276,plain,
% 7.11/5.04 ((~(v119(constB25) <=> (~(v90(constB25, bitIndex0) | v90(constB25, bitIndex1) | v90(constB25, bitIndex2))))) | (~v119(constB25)) | (~(v90(constB25, bitIndex0) | v90(constB25, bitIndex1) | v90(constB25, bitIndex2)))),
% 7.11/5.04 inference(tautology,[status(thm)],[])).
% 7.11/5.04 tff(5277,plain,
% 7.11/5.04 (~v119(constB25)),
% 7.11/5.04 inference(unit_resolution,[status(thm)],[5276, 5275, 2367])).
% 7.11/5.04 tff(5278,plain,
% 7.11/5.04 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB25) <=> (~(v90(constB25, bitIndex1) | (~v90(constB25, bitIndex2)) | (~v90(constB25, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB25) <=> (~(v90(constB25, bitIndex1) | (~v90(constB25, bitIndex2)) | (~v90(constB25, bitIndex0))))))),
% 7.11/5.04 inference(rewrite,[status(thm)],[])).
% 7.11/5.04 tff(5279,plain,
% 7.11/5.04 ((v124(constB25) <=> (~(v90(constB25, bitIndex1) | (~v90(constB25, bitIndex0)) | (~v90(constB25, bitIndex2))))) <=> (v124(constB25) <=> (~(v90(constB25, bitIndex1) | (~v90(constB25, bitIndex2)) | (~v90(constB25, bitIndex0)))))),
% 7.11/5.04 inference(rewrite,[status(thm)],[])).
% 7.11/5.04 tff(5280,plain,
% 7.11/5.04 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB25) <=> (~(v90(constB25, bitIndex1) | (~v90(constB25, bitIndex0)) | (~v90(constB25, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB25) <=> (~(v90(constB25, bitIndex1) | (~v90(constB25, bitIndex2)) | (~v90(constB25, bitIndex0))))))),
% 7.11/5.04 inference(monotonicity,[status(thm)],[5279])).
% 7.11/5.04 tff(5281,plain,
% 7.11/5.04 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB25) <=> (~(v90(constB25, bitIndex1) | (~v90(constB25, bitIndex0)) | (~v90(constB25, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB25) <=> (~(v90(constB25, bitIndex1) | (~v90(constB25, bitIndex2)) | (~v90(constB25, bitIndex0))))))),
% 7.11/5.04 inference(transitivity,[status(thm)],[5280, 5278])).
% 7.11/5.04 tff(5282,plain,
% 7.11/5.04 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB25) <=> (~(v90(constB25, bitIndex1) | (~v90(constB25, bitIndex0)) | (~v90(constB25, bitIndex2)))))),
% 7.11/5.04 inference(quant_inst,[status(thm)],[])).
% 7.11/5.04 tff(5283,plain,
% 7.11/5.04 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB25) <=> (~(v90(constB25, bitIndex1) | (~v90(constB25, bitIndex2)) | (~v90(constB25, bitIndex0)))))),
% 7.11/5.04 inference(modus_ponens,[status(thm)],[5282, 5281])).
% 7.11/5.04 tff(5284,plain,
% 7.11/5.04 (v124(constB25) <=> (~(v90(constB25, bitIndex1) | (~v90(constB25, bitIndex2)) | (~v90(constB25, bitIndex0))))),
% 7.11/5.04 inference(unit_resolution,[status(thm)],[5283, 3613])).
% 7.11/5.04 tff(5285,plain,
% 7.11/5.04 ((((~v90(constB25, bitIndex1)) <=> v90(constB24, bitIndex1)) | ((~v90(constB25, bitIndex2)) <=> v90(constB24, bitIndex2)) | ((~v90(constB25, bitIndex0)) <=> v90(constB24, bitIndex0))) | (~((~v90(constB25, bitIndex1)) <=> v90(constB24, bitIndex1)))),
% 7.11/5.04 inference(tautology,[status(thm)],[])).
% 7.11/5.04 tff(5286,plain,
% 7.11/5.04 (~((~v90(constB25, bitIndex1)) <=> v90(constB24, bitIndex1))),
% 7.11/5.04 inference(unit_resolution,[status(thm)],[5285, 2401])).
% 7.11/5.04 tff(5287,plain,
% 7.11/5.04 ((((~v129(constB24, bitIndex2)) <=> v127(constB23, bitIndex2)) | ((~v129(constB24, bitIndex1)) <=> v127(constB23, bitIndex1)) | ((~v129(constB24, bitIndex0)) <=> v127(constB23, bitIndex0))) | (~((~v129(constB24, bitIndex1)) <=> v127(constB23, bitIndex1)))),
% 7.11/5.04 inference(tautology,[status(thm)],[])).
% 7.11/5.04 tff(5288,plain,
% 7.11/5.04 (~((~v129(constB24, bitIndex1)) <=> v127(constB23, bitIndex1))),
% 7.11/5.04 inference(unit_resolution,[status(thm)],[5287, 2410])).
% 7.11/5.04 tff(5289,plain,
% 7.11/5.04 ((((~v127(constB23, bitIndex2)) <=> v130(constB23, bitIndex2)) | ((~v127(constB23, bitIndex1)) <=> v130(constB23, bitIndex1)) | ((~v127(constB23, bitIndex0)) <=> v130(constB23, bitIndex0))) | (~((~v127(constB23, bitIndex1)) <=> v130(constB23, bitIndex1)))),
% 7.11/5.04 inference(tautology,[status(thm)],[])).
% 7.11/5.04 tff(5290,plain,
% 7.11/5.04 (~((~v127(constB23, bitIndex1)) <=> v130(constB23, bitIndex1))),
% 7.11/5.04 inference(unit_resolution,[status(thm)],[5289, 2424])).
% 7.11/5.04 tff(5291,plain,
% 7.11/5.04 ((v130(constB23, bitIndex0) | (~v130(constB23, bitIndex2)) | (~v130(constB23, bitIndex1))) | v130(constB23, bitIndex1)),
% 7.11/5.04 inference(tautology,[status(thm)],[])).
% 7.11/5.04 tff(5292,plain,
% 7.11/5.04 (v130(constB23, bitIndex1)),
% 7.11/5.04 inference(unit_resolution,[status(thm)],[5291, 5178])).
% 7.11/5.04 tff(5293,plain,
% 7.11/5.04 (((~v127(constB23, bitIndex1)) <=> v130(constB23, bitIndex1)) | v127(constB23, bitIndex1) | (~v130(constB23, bitIndex1))),
% 7.11/5.04 inference(tautology,[status(thm)],[])).
% 7.11/5.04 tff(5294,plain,
% 7.11/5.04 (v127(constB23, bitIndex1)),
% 7.11/5.04 inference(unit_resolution,[status(thm)],[5293, 5292, 5290])).
% 7.11/5.04 tff(5295,plain,
% 7.11/5.04 (((~v129(constB24, bitIndex1)) <=> v127(constB23, bitIndex1)) | v129(constB24, bitIndex1) | (~v127(constB23, bitIndex1))),
% 7.11/5.04 inference(tautology,[status(thm)],[])).
% 7.11/5.04 tff(5296,plain,
% 7.11/5.04 (v129(constB24, bitIndex1)),
% 7.11/5.04 inference(unit_resolution,[status(thm)],[5295, 5294, 5288])).
% 7.11/5.04 tff(5297,plain,
% 7.11/5.04 ((((~v90(constB24, bitIndex2)) <=> v129(constB24, bitIndex2)) | ((~v90(constB24, bitIndex1)) <=> v129(constB24, bitIndex1)) | ((~v90(constB24, bitIndex0)) <=> v129(constB24, bitIndex0))) | (~((~v90(constB24, bitIndex1)) <=> v129(constB24, bitIndex1)))),
% 7.11/5.04 inference(tautology,[status(thm)],[])).
% 7.11/5.04 tff(5298,plain,
% 7.11/5.04 (~((~v90(constB24, bitIndex1)) <=> v129(constB24, bitIndex1))),
% 7.11/5.04 inference(unit_resolution,[status(thm)],[5297, 5267])).
% 7.11/5.04 tff(5299,plain,
% 7.11/5.04 (((~v90(constB24, bitIndex1)) <=> v129(constB24, bitIndex1)) | v90(constB24, bitIndex1) | (~v129(constB24, bitIndex1))),
% 7.11/5.04 inference(tautology,[status(thm)],[])).
% 7.11/5.04 tff(5300,plain,
% 7.11/5.04 (v90(constB24, bitIndex1)),
% 7.11/5.04 inference(unit_resolution,[status(thm)],[5299, 5298, 5296])).
% 7.11/5.04 tff(5301,plain,
% 7.11/5.04 (((~v90(constB25, bitIndex1)) <=> v90(constB24, bitIndex1)) | v90(constB25, bitIndex1) | (~v90(constB24, bitIndex1))),
% 7.11/5.04 inference(tautology,[status(thm)],[])).
% 7.11/5.04 tff(5302,plain,
% 7.11/5.04 (v90(constB25, bitIndex1)),
% 7.11/5.04 inference(unit_resolution,[status(thm)],[5301, 5300, 5286])).
% 7.11/5.04 tff(5303,plain,
% 7.11/5.04 ((v90(constB25, bitIndex1) | (~v90(constB25, bitIndex2)) | (~v90(constB25, bitIndex0))) | (~v90(constB25, bitIndex1))),
% 7.11/5.04 inference(tautology,[status(thm)],[])).
% 7.11/5.04 tff(5304,plain,
% 7.11/5.04 (v90(constB25, bitIndex1) | (~v90(constB25, bitIndex2)) | (~v90(constB25, bitIndex0))),
% 7.11/5.04 inference(unit_resolution,[status(thm)],[5303, 5302])).
% 7.11/5.04 tff(5305,plain,
% 7.11/5.04 ((~(v124(constB25) <=> (~(v90(constB25, bitIndex1) | (~v90(constB25, bitIndex2)) | (~v90(constB25, bitIndex0)))))) | (~v124(constB25)) | (~(v90(constB25, bitIndex1) | (~v90(constB25, bitIndex2)) | (~v90(constB25, bitIndex0))))),
% 7.11/5.04 inference(tautology,[status(thm)],[])).
% 7.11/5.04 tff(5306,plain,
% 7.11/5.04 (~v124(constB25)),
% 7.11/5.04 inference(unit_resolution,[status(thm)],[5305, 5304, 5284])).
% 7.11/5.04 tff(5307,plain,
% 7.11/5.04 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB25) <=> (~(v90(constB25, bitIndex1) | v90(constB25, bitIndex0) | (~v90(constB25, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB25) <=> (~(v90(constB25, bitIndex1) | v90(constB25, bitIndex0) | (~v90(constB25, bitIndex2))))))),
% 7.11/5.04 inference(rewrite,[status(thm)],[])).
% 7.11/5.04 tff(5308,plain,
% 7.11/5.04 ((v123(constB25) <=> (~(v90(constB25, bitIndex0) | v90(constB25, bitIndex1) | (~v90(constB25, bitIndex2))))) <=> (v123(constB25) <=> (~(v90(constB25, bitIndex1) | v90(constB25, bitIndex0) | (~v90(constB25, bitIndex2)))))),
% 7.11/5.04 inference(rewrite,[status(thm)],[])).
% 7.11/5.04 tff(5309,plain,
% 7.11/5.04 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB25) <=> (~(v90(constB25, bitIndex0) | v90(constB25, bitIndex1) | (~v90(constB25, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB25) <=> (~(v90(constB25, bitIndex1) | v90(constB25, bitIndex0) | (~v90(constB25, bitIndex2))))))),
% 7.11/5.04 inference(monotonicity,[status(thm)],[5308])).
% 7.11/5.04 tff(5310,plain,
% 7.11/5.04 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB25) <=> (~(v90(constB25, bitIndex0) | v90(constB25, bitIndex1) | (~v90(constB25, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB25) <=> (~(v90(constB25, bitIndex1) | v90(constB25, bitIndex0) | (~v90(constB25, bitIndex2))))))),
% 7.11/5.04 inference(transitivity,[status(thm)],[5309, 5307])).
% 7.11/5.04 tff(5311,plain,
% 7.11/5.04 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB25) <=> (~(v90(constB25, bitIndex0) | v90(constB25, bitIndex1) | (~v90(constB25, bitIndex2)))))),
% 7.11/5.04 inference(quant_inst,[status(thm)],[])).
% 7.11/5.04 tff(5312,plain,
% 7.11/5.04 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB25) <=> (~(v90(constB25, bitIndex1) | v90(constB25, bitIndex0) | (~v90(constB25, bitIndex2)))))),
% 7.11/5.04 inference(modus_ponens,[status(thm)],[5311, 5310])).
% 7.11/5.04 tff(5313,plain,
% 7.11/5.04 (v123(constB25) <=> (~(v90(constB25, bitIndex1) | v90(constB25, bitIndex0) | (~v90(constB25, bitIndex2))))),
% 7.11/5.04 inference(unit_resolution,[status(thm)],[5312, 800])).
% 7.11/5.04 tff(5314,plain,
% 7.11/5.04 ((v90(constB25, bitIndex1) | v90(constB25, bitIndex0) | (~v90(constB25, bitIndex2))) | (~v90(constB25, bitIndex1))),
% 7.11/5.04 inference(tautology,[status(thm)],[])).
% 7.11/5.04 tff(5315,plain,
% 7.11/5.04 (v90(constB25, bitIndex1) | v90(constB25, bitIndex0) | (~v90(constB25, bitIndex2))),
% 7.11/5.04 inference(unit_resolution,[status(thm)],[5314, 5302])).
% 7.11/5.04 tff(5316,plain,
% 7.11/5.04 ((~(v123(constB25) <=> (~(v90(constB25, bitIndex1) | v90(constB25, bitIndex0) | (~v90(constB25, bitIndex2)))))) | (~v123(constB25)) | (~(v90(constB25, bitIndex1) | v90(constB25, bitIndex0) | (~v90(constB25, bitIndex2))))),
% 7.11/5.04 inference(tautology,[status(thm)],[])).
% 7.11/5.04 tff(5317,plain,
% 7.11/5.04 (~v123(constB25)),
% 7.11/5.04 inference(unit_resolution,[status(thm)],[5316, 5315, 5313])).
% 7.11/5.04 tff(5318,plain,
% 7.11/5.04 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB25) <=> (~(v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB25) <=> (~(v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex0))))))),
% 7.11/5.04 inference(rewrite,[status(thm)],[])).
% 7.11/5.04 tff(5319,plain,
% 7.11/5.04 ((v122(constB25) <=> (~(v90(constB25, bitIndex2) | (~v90(constB25, bitIndex0)) | (~v90(constB25, bitIndex1))))) <=> (v122(constB25) <=> (~(v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex0)))))),
% 7.11/5.04 inference(rewrite,[status(thm)],[])).
% 7.11/5.04 tff(5320,plain,
% 7.11/5.04 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB25) <=> (~(v90(constB25, bitIndex2) | (~v90(constB25, bitIndex0)) | (~v90(constB25, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB25) <=> (~(v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex0))))))),
% 7.11/5.04 inference(monotonicity,[status(thm)],[5319])).
% 7.11/5.04 tff(5321,plain,
% 7.11/5.04 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB25) <=> (~(v90(constB25, bitIndex2) | (~v90(constB25, bitIndex0)) | (~v90(constB25, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB25) <=> (~(v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex0))))))),
% 7.11/5.04 inference(transitivity,[status(thm)],[5320, 5318])).
% 7.11/5.04 tff(5322,plain,
% 7.11/5.04 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB25) <=> (~(v90(constB25, bitIndex2) | (~v90(constB25, bitIndex0)) | (~v90(constB25, bitIndex1)))))),
% 7.11/5.04 inference(quant_inst,[status(thm)],[])).
% 7.11/5.04 tff(5323,plain,
% 7.11/5.04 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB25) <=> (~(v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex0)))))),
% 7.11/5.04 inference(modus_ponens,[status(thm)],[5322, 5321])).
% 7.11/5.04 tff(5324,plain,
% 7.11/5.04 (v122(constB25) <=> (~(v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex0))))),
% 7.11/5.04 inference(unit_resolution,[status(thm)],[5323, 879])).
% 7.11/5.04 tff(5325,plain,
% 7.11/5.04 ((v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex0))) | (~v90(constB25, bitIndex2))),
% 7.11/5.04 inference(tautology,[status(thm)],[])).
% 7.11/5.04 tff(5326,plain,
% 7.11/5.04 (v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex0))),
% 7.11/5.04 inference(unit_resolution,[status(thm)],[5325, 5273])).
% 7.11/5.04 tff(5327,plain,
% 7.11/5.04 ((~(v122(constB25) <=> (~(v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex0)))))) | (~v122(constB25)) | (~(v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex0))))),
% 7.11/5.04 inference(tautology,[status(thm)],[])).
% 7.11/5.04 tff(5328,plain,
% 7.11/5.04 (~v122(constB25)),
% 7.11/5.04 inference(unit_resolution,[status(thm)],[5327, 5326, 5324])).
% 7.11/5.04 tff(5329,plain,
% 7.11/5.04 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB25) <=> (~(v90(constB25, bitIndex2) | v90(constB25, bitIndex0) | (~v90(constB25, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB25) <=> (~(v90(constB25, bitIndex2) | v90(constB25, bitIndex0) | (~v90(constB25, bitIndex1))))))),
% 7.11/5.04 inference(rewrite,[status(thm)],[])).
% 7.11/5.04 tff(5330,plain,
% 7.11/5.04 ((v121(constB25) <=> (~(v90(constB25, bitIndex0) | v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1))))) <=> (v121(constB25) <=> (~(v90(constB25, bitIndex2) | v90(constB25, bitIndex0) | (~v90(constB25, bitIndex1)))))),
% 7.11/5.04 inference(rewrite,[status(thm)],[])).
% 7.11/5.04 tff(5331,plain,
% 7.11/5.04 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB25) <=> (~(v90(constB25, bitIndex0) | v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB25) <=> (~(v90(constB25, bitIndex2) | v90(constB25, bitIndex0) | (~v90(constB25, bitIndex1))))))),
% 7.11/5.04 inference(monotonicity,[status(thm)],[5330])).
% 7.11/5.04 tff(5332,plain,
% 7.11/5.04 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB25) <=> (~(v90(constB25, bitIndex0) | v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB25) <=> (~(v90(constB25, bitIndex2) | v90(constB25, bitIndex0) | (~v90(constB25, bitIndex1))))))),
% 7.11/5.04 inference(transitivity,[status(thm)],[5331, 5329])).
% 7.11/5.04 tff(5333,plain,
% 7.11/5.04 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB25) <=> (~(v90(constB25, bitIndex0) | v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1)))))),
% 7.11/5.04 inference(quant_inst,[status(thm)],[])).
% 7.11/5.04 tff(5334,plain,
% 7.11/5.04 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB25) <=> (~(v90(constB25, bitIndex2) | v90(constB25, bitIndex0) | (~v90(constB25, bitIndex1)))))),
% 7.11/5.04 inference(modus_ponens,[status(thm)],[5333, 5332])).
% 7.11/5.04 tff(5335,plain,
% 7.11/5.04 (v121(constB25) <=> (~(v90(constB25, bitIndex2) | v90(constB25, bitIndex0) | (~v90(constB25, bitIndex1))))),
% 7.11/5.04 inference(unit_resolution,[status(thm)],[5334, 586])).
% 7.11/5.04 tff(5336,plain,
% 7.11/5.04 ((v90(constB25, bitIndex2) | v90(constB25, bitIndex0) | (~v90(constB25, bitIndex1))) | (~v90(constB25, bitIndex2))),
% 7.11/5.04 inference(tautology,[status(thm)],[])).
% 7.11/5.04 tff(5337,plain,
% 7.11/5.04 (v90(constB25, bitIndex2) | v90(constB25, bitIndex0) | (~v90(constB25, bitIndex1))),
% 7.11/5.04 inference(unit_resolution,[status(thm)],[5336, 5273])).
% 7.11/5.04 tff(5338,plain,
% 7.11/5.04 ((~(v121(constB25) <=> (~(v90(constB25, bitIndex2) | v90(constB25, bitIndex0) | (~v90(constB25, bitIndex1)))))) | (~v121(constB25)) | (~(v90(constB25, bitIndex2) | v90(constB25, bitIndex0) | (~v90(constB25, bitIndex1))))),
% 7.11/5.04 inference(tautology,[status(thm)],[])).
% 7.11/5.04 tff(5339,plain,
% 7.11/5.04 (~v121(constB25)),
% 7.11/5.04 inference(unit_resolution,[status(thm)],[5338, 5337, 5335])).
% 7.11/5.04 tff(5340,plain,
% 7.11/5.04 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB25) <=> (~(v90(constB25, bitIndex1) | v90(constB25, bitIndex2) | (~v90(constB25, bitIndex0)))))),
% 7.11/5.04 inference(quant_inst,[status(thm)],[])).
% 7.11/5.04 tff(5341,plain,
% 7.11/5.04 (v120(constB25) <=> (~(v90(constB25, bitIndex1) | v90(constB25, bitIndex2) | (~v90(constB25, bitIndex0))))),
% 7.11/5.04 inference(unit_resolution,[status(thm)],[5340, 665])).
% 7.11/5.04 tff(5342,plain,
% 7.11/5.04 ((v90(constB25, bitIndex1) | v90(constB25, bitIndex2) | (~v90(constB25, bitIndex0))) | (~v90(constB25, bitIndex2))),
% 7.11/5.04 inference(tautology,[status(thm)],[])).
% 7.11/5.04 tff(5343,plain,
% 7.11/5.04 (v90(constB25, bitIndex1) | v90(constB25, bitIndex2) | (~v90(constB25, bitIndex0))),
% 7.11/5.04 inference(unit_resolution,[status(thm)],[5342, 5273])).
% 7.11/5.04 tff(5344,plain,
% 7.11/5.04 ((~(v120(constB25) <=> (~(v90(constB25, bitIndex1) | v90(constB25, bitIndex2) | (~v90(constB25, bitIndex0)))))) | (~v120(constB25)) | (~(v90(constB25, bitIndex1) | v90(constB25, bitIndex2) | (~v90(constB25, bitIndex0))))),
% 7.11/5.04 inference(tautology,[status(thm)],[])).
% 7.11/5.04 tff(5345,plain,
% 7.11/5.04 (~v120(constB25)),
% 7.11/5.04 inference(unit_resolution,[status(thm)],[5344, 5343, 5341])).
% 7.11/5.04 tff(5346,plain,
% 7.11/5.04 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~(v130(constB25, bitIndex2) | v130(constB25, bitIndex1) | (~v130(constB25, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~(v130(constB25, bitIndex2) | v130(constB25, bitIndex1) | (~v130(constB25, bitIndex0)))))),
% 7.11/5.04 inference(rewrite,[status(thm)],[])).
% 7.11/5.04 tff(5347,plain,
% 7.11/5.04 ((v124(constB25) | v123(constB25) | v122(constB25) | v121(constB25) | v120(constB25) | v119(constB25) | (~(v130(constB25, bitIndex2) | v130(constB25, bitIndex1) | (~v130(constB25, bitIndex0))))) <=> (v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~(v130(constB25, bitIndex2) | v130(constB25, bitIndex1) | (~v130(constB25, bitIndex0)))))),
% 7.11/5.04 inference(rewrite,[status(thm)],[])).
% 7.11/5.04 tff(5348,plain,
% 7.11/5.04 ((~(v130(constB25, bitIndex1) | v130(constB25, bitIndex2) | (~v130(constB25, bitIndex0)))) <=> (~(v130(constB25, bitIndex2) | v130(constB25, bitIndex1) | (~v130(constB25, bitIndex0))))),
% 7.11/5.04 inference(rewrite,[status(thm)],[])).
% 7.11/5.04 tff(5349,plain,
% 7.11/5.04 ((v124(constB25) | v123(constB25) | v122(constB25) | v121(constB25) | v120(constB25) | v119(constB25) | (~(v130(constB25, bitIndex1) | v130(constB25, bitIndex2) | (~v130(constB25, bitIndex0))))) <=> (v124(constB25) | v123(constB25) | v122(constB25) | v121(constB25) | v120(constB25) | v119(constB25) | (~(v130(constB25, bitIndex2) | v130(constB25, bitIndex1) | (~v130(constB25, bitIndex0)))))),
% 7.11/5.04 inference(monotonicity,[status(thm)],[5348])).
% 7.11/5.04 tff(5350,plain,
% 7.11/5.04 ((v124(constB25) | v123(constB25) | v122(constB25) | v121(constB25) | v120(constB25) | v119(constB25) | (~(v130(constB25, bitIndex1) | v130(constB25, bitIndex2) | (~v130(constB25, bitIndex0))))) <=> (v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~(v130(constB25, bitIndex2) | v130(constB25, bitIndex1) | (~v130(constB25, bitIndex0)))))),
% 7.11/5.04 inference(transitivity,[status(thm)],[5349, 5347])).
% 7.11/5.04 tff(5351,plain,
% 7.11/5.04 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB25) | v123(constB25) | v122(constB25) | v121(constB25) | v120(constB25) | v119(constB25) | (~(v130(constB25, bitIndex1) | v130(constB25, bitIndex2) | (~v130(constB25, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~(v130(constB25, bitIndex2) | v130(constB25, bitIndex1) | (~v130(constB25, bitIndex0))))))),
% 7.11/5.04 inference(monotonicity,[status(thm)],[5350])).
% 7.11/5.04 tff(5352,plain,
% 7.11/5.04 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB25) | v123(constB25) | v122(constB25) | v121(constB25) | v120(constB25) | v119(constB25) | (~(v130(constB25, bitIndex1) | v130(constB25, bitIndex2) | (~v130(constB25, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~(v130(constB25, bitIndex2) | v130(constB25, bitIndex1) | (~v130(constB25, bitIndex0)))))),
% 7.11/5.04 inference(transitivity,[status(thm)],[5351, 5346])).
% 7.11/5.04 tff(5353,plain,
% 7.11/5.04 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB25) | v123(constB25) | v122(constB25) | v121(constB25) | v120(constB25) | v119(constB25) | (~(v130(constB25, bitIndex1) | v130(constB25, bitIndex2) | (~v130(constB25, bitIndex0)))))),
% 7.11/5.04 inference(quant_inst,[status(thm)],[])).
% 7.11/5.04 tff(5354,plain,
% 7.11/5.04 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~(v130(constB25, bitIndex2) | v130(constB25, bitIndex1) | (~v130(constB25, bitIndex0))))),
% 7.11/5.04 inference(modus_ponens,[status(thm)],[5353, 5352])).
% 7.11/5.04 tff(5355,plain,
% 7.11/5.04 (v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~(v130(constB25, bitIndex2) | v130(constB25, bitIndex1) | (~v130(constB25, bitIndex0))))),
% 7.11/5.04 inference(unit_resolution,[status(thm)],[5354, 3694])).
% 7.11/5.04 tff(5356,plain,
% 7.11/5.04 (~(v130(constB25, bitIndex2) | v130(constB25, bitIndex1) | (~v130(constB25, bitIndex0)))),
% 7.11/5.04 inference(unit_resolution,[status(thm)],[5355, 5345, 5339, 5328, 5317, 5306, 5277])).
% 7.11/5.04 tff(5357,plain,
% 7.11/5.04 ((v130(constB25, bitIndex2) | v130(constB25, bitIndex1) | (~v130(constB25, bitIndex0))) | (~v130(constB25, bitIndex2))),
% 7.11/5.04 inference(tautology,[status(thm)],[])).
% 7.11/5.04 tff(5358,plain,
% 7.11/5.04 (~v130(constB25, bitIndex2)),
% 7.11/5.04 inference(unit_resolution,[status(thm)],[5357, 5356])).
% 7.11/5.04 tff(5359,plain,
% 7.11/5.04 (((~v127(constB25, bitIndex2)) <=> v130(constB25, bitIndex2)) | (~v127(constB25, bitIndex2)) | v130(constB25, bitIndex2)),
% 7.11/5.04 inference(tautology,[status(thm)],[])).
% 7.11/5.04 tff(5360,plain,
% 7.11/5.04 (~v127(constB25, bitIndex2)),
% 7.11/5.04 inference(unit_resolution,[status(thm)],[5359, 5358, 2365])).
% 7.11/5.04 tff(5361,plain,
% 7.11/5.04 (((~v129(constB26, bitIndex2)) <=> v127(constB25, bitIndex2)) | (~v129(constB26, bitIndex2)) | v127(constB25, bitIndex2)),
% 7.11/5.04 inference(tautology,[status(thm)],[])).
% 7.11/5.04 tff(5362,plain,
% 7.11/5.04 (~v129(constB26, bitIndex2)),
% 7.11/5.04 inference(unit_resolution,[status(thm)],[5361, 5360, 2351])).
% 7.11/5.04 tff(5363,plain,
% 7.11/5.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB25, constB26)) | (v100(constB26) <=> (~((~v101(constB26)) | (~v110(constB26))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB25, constB26)) | (v100(constB26) <=> (~((~v101(constB26)) | (~v110(constB26))))))),
% 7.11/5.04 inference(rewrite,[status(thm)],[])).
% 7.11/5.04 tff(5364,plain,
% 7.11/5.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB25, constB26)) | (v100(constB26) <=> (~((~v101(constB26)) | (~v110(constB26))))))),
% 7.11/5.04 inference(quant_inst,[status(thm)],[])).
% 7.11/5.04 tff(5365,plain,
% 7.11/5.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB25, constB26)) | (v100(constB26) <=> (~((~v101(constB26)) | (~v110(constB26)))))),
% 7.11/5.04 inference(modus_ponens,[status(thm)],[5364, 5363])).
% 7.11/5.04 tff(5366,plain,
% 7.11/5.04 (v100(constB26) <=> (~((~v101(constB26)) | (~v110(constB26))))),
% 7.11/5.04 inference(unit_resolution,[status(thm)],[5365, 2345, 445])).
% 7.11/5.04 tff(5367,plain,
% 7.11/5.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB25, constB26)) | (v101(constB26) <=> (~((~v1(constB26)) | (~v102(constB26))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB25, constB26)) | (v101(constB26) <=> (~((~v1(constB26)) | (~v102(constB26))))))),
% 7.11/5.04 inference(rewrite,[status(thm)],[])).
% 7.11/5.04 tff(5368,plain,
% 7.11/5.04 (((~nextState(constB25, constB26)) | (v101(constB26) <=> (~((~v102(constB26)) | (~v1(constB26)))))) <=> ((~nextState(constB25, constB26)) | (v101(constB26) <=> (~((~v1(constB26)) | (~v102(constB26))))))),
% 7.11/5.04 inference(rewrite,[status(thm)],[])).
% 7.11/5.04 tff(5369,plain,
% 7.11/5.04 (((~![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) <=> (~((~v1(constB26)) | (~v102(constB26)))))))),
% 7.11/5.05 inference(monotonicity,[status(thm)],[5368])).
% 7.11/5.05 tff(5370,plain,
% 7.11/5.05 (((~![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) <=> (~((~v1(constB26)) | (~v102(constB26))))))),
% 7.11/5.05 inference(transitivity,[status(thm)],[5369, 5367])).
% 7.11/5.05 tff(5371,plain,
% 7.11/5.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB25, constB26)) | (v101(constB26) <=> (~((~v102(constB26)) | (~v1(constB26))))))),
% 7.11/5.05 inference(quant_inst,[status(thm)],[])).
% 7.11/5.05 tff(5372,plain,
% 7.11/5.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB25, constB26)) | (v101(constB26) <=> (~((~v1(constB26)) | (~v102(constB26)))))),
% 7.11/5.05 inference(modus_ponens,[status(thm)],[5371, 5370])).
% 7.11/5.05 tff(5373,plain,
% 7.11/5.05 (v101(constB26) <=> (~((~v1(constB26)) | (~v102(constB26))))),
% 7.11/5.05 inference(unit_resolution,[status(thm)],[5372, 2345, 465])).
% 7.11/5.05 tff(5374,plain,
% 7.11/5.05 (((~![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)))),
% 7.11/5.05 inference(rewrite,[status(thm)],[])).
% 7.11/5.05 tff(5375,plain,
% 7.11/5.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB25, constB26)) | ((~v102(constB26)) <=> v104(constB26)))),
% 7.11/5.05 inference(quant_inst,[status(thm)],[])).
% 7.11/5.05 tff(5376,plain,
% 7.11/5.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB25, constB26)) | ((~v102(constB26)) <=> v104(constB26))),
% 7.11/5.05 inference(modus_ponens,[status(thm)],[5375, 5374])).
% 7.11/5.05 tff(5377,plain,
% 7.11/5.05 ((~v102(constB26)) <=> v104(constB26)),
% 7.11/5.05 inference(unit_resolution,[status(thm)],[5376, 2345, 3244])).
% 7.11/5.05 tff(5378,plain,
% 7.11/5.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB25, constB26)) | (v104(constB26) <=> v1(constB25)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB25, constB26)) | (v104(constB26) <=> v1(constB25)))),
% 7.11/5.05 inference(rewrite,[status(thm)],[])).
% 7.11/5.05 tff(5379,plain,
% 7.11/5.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB25, constB26)) | (v104(constB26) <=> v1(constB25)))),
% 7.11/5.05 inference(quant_inst,[status(thm)],[])).
% 7.11/5.05 tff(5380,plain,
% 7.11/5.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB25, constB26)) | (v104(constB26) <=> v1(constB25))),
% 7.11/5.05 inference(modus_ponens,[status(thm)],[5379, 5378])).
% 7.11/5.05 tff(5381,plain,
% 7.11/5.05 (v104(constB26) <=> v1(constB25)),
% 7.11/5.05 inference(unit_resolution,[status(thm)],[5380, 2345, 3258])).
% 7.11/5.05 tff(5382,plain,
% 7.11/5.05 ((~(v104(constB26) <=> v1(constB25))) | (~v104(constB26)) | v1(constB25)),
% 7.11/5.05 inference(tautology,[status(thm)],[])).
% 7.11/5.05 tff(5383,plain,
% 7.11/5.05 ((~(v104(constB26) <=> v1(constB25))) | (~v104(constB26))),
% 7.11/5.05 inference(unit_resolution,[status(thm)],[5382, 2384])).
% 7.11/5.05 tff(5384,plain,
% 7.11/5.05 (~v104(constB26)),
% 7.11/5.05 inference(unit_resolution,[status(thm)],[5383, 5381])).
% 7.11/5.05 tff(5385,plain,
% 7.11/5.05 ((~((~v102(constB26)) <=> v104(constB26))) | v102(constB26) | v104(constB26)),
% 7.11/5.05 inference(tautology,[status(thm)],[])).
% 7.11/5.05 tff(5386,plain,
% 7.11/5.05 (v102(constB26)),
% 7.11/5.05 inference(unit_resolution,[status(thm)],[5385, 5384, 5377])).
% 7.11/5.05 tff(5387,plain,
% 7.11/5.05 (v1(constB26) <=> v1(constB26)),
% 7.11/5.05 inference(rewrite,[status(thm)],[])).
% 7.11/5.05 tff(5388,axiom,(v1(constB26)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_26')).
% 7.11/5.05 tff(5389,plain,
% 7.11/5.05 (v1(constB26)),
% 7.11/5.05 inference(modus_ponens,[status(thm)],[5388, 5387])).
% 7.11/5.05 tff(5390,plain,
% 7.11/5.05 ((~((~v1(constB26)) | (~v102(constB26)))) | (~v1(constB26)) | (~v102(constB26))),
% 7.11/5.05 inference(tautology,[status(thm)],[])).
% 7.11/5.05 tff(5391,plain,
% 7.11/5.05 ((~((~v1(constB26)) | (~v102(constB26)))) | (~v102(constB26))),
% 7.11/5.05 inference(unit_resolution,[status(thm)],[5390, 5389])).
% 7.11/5.05 tff(5392,plain,
% 7.11/5.05 (~((~v1(constB26)) | (~v102(constB26)))),
% 7.11/5.05 inference(unit_resolution,[status(thm)],[5391, 5386])).
% 7.11/5.05 tff(5393,plain,
% 7.11/5.05 ((~(v101(constB26) <=> (~((~v1(constB26)) | (~v102(constB26)))))) | v101(constB26) | ((~v1(constB26)) | (~v102(constB26)))),
% 7.11/5.05 inference(tautology,[status(thm)],[])).
% 7.11/5.05 tff(5394,plain,
% 7.11/5.05 (v101(constB26)),
% 7.11/5.05 inference(unit_resolution,[status(thm)],[5393, 5392, 5373])).
% 7.11/5.05 tff(5395,plain,
% 7.11/5.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB25, constB26)) | (v110(constB26) <=> v108(constB25)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB25, constB26)) | (v110(constB26) <=> v108(constB25)))),
% 7.11/5.05 inference(rewrite,[status(thm)],[])).
% 7.11/5.05 tff(5396,plain,
% 7.11/5.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB25, constB26)) | (v110(constB26) <=> v108(constB25)))),
% 7.11/5.05 inference(quant_inst,[status(thm)],[])).
% 7.11/5.05 tff(5397,plain,
% 7.11/5.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB25, constB26)) | (v110(constB26) <=> v108(constB25))),
% 7.11/5.05 inference(modus_ponens,[status(thm)],[5396, 5395])).
% 7.11/5.05 tff(5398,plain,
% 7.11/5.05 (v110(constB26) <=> v108(constB25)),
% 7.11/5.05 inference(unit_resolution,[status(thm)],[5397, 2345, 3285])).
% 7.11/5.05 tff(5399,plain,
% 7.11/5.05 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB25) <=> (v111(constB25) | v112(constB25)))),
% 7.11/5.05 inference(quant_inst,[status(thm)],[])).
% 7.11/5.05 tff(5400,plain,
% 7.11/5.05 (v108(constB25) <=> (v111(constB25) | v112(constB25))),
% 7.11/5.05 inference(unit_resolution,[status(thm)],[5399, 3296])).
% 7.11/5.05 tff(5401,plain,
% 7.11/5.05 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB25) <=> (~((~v113(constB25)) | (~v126(constB25)))))),
% 7.11/5.05 inference(quant_inst,[status(thm)],[])).
% 7.11/5.05 tff(5402,plain,
% 7.11/5.05 (v112(constB25) <=> (~((~v113(constB25)) | (~v126(constB25))))),
% 7.11/5.05 inference(unit_resolution,[status(thm)],[5401, 3308])).
% 7.11/5.05 tff(5403,plain,
% 7.11/5.05 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB25) <=> (v114(constB25) | v125(constB25)))),
% 7.11/5.05 inference(quant_inst,[status(thm)],[])).
% 7.11/5.05 tff(5404,plain,
% 7.11/5.05 (v113(constB25) <=> (v114(constB25) | v125(constB25))),
% 7.11/5.05 inference(unit_resolution,[status(thm)],[5403, 3317])).
% 7.11/5.05 tff(5405,plain,
% 7.11/5.05 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB25) <=> (~(v90(constB25, bitIndex0) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex2)))))),
% 7.11/5.05 inference(quant_inst,[status(thm)],[])).
% 7.11/5.05 tff(5406,plain,
% 7.11/5.05 (v125(constB25) <=> (~(v90(constB25, bitIndex0) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex2))))),
% 7.11/5.05 inference(unit_resolution,[status(thm)],[5405, 3766])).
% 7.11/5.05 tff(5407,plain,
% 7.11/5.05 ((((~v90(constB25, bitIndex1)) <=> v90(constB24, bitIndex1)) | ((~v90(constB25, bitIndex2)) <=> v90(constB24, bitIndex2)) | ((~v90(constB25, bitIndex0)) <=> v90(constB24, bitIndex0))) | (~((~v90(constB25, bitIndex0)) <=> v90(constB24, bitIndex0)))),
% 7.11/5.05 inference(tautology,[status(thm)],[])).
% 7.11/5.05 tff(5408,plain,
% 7.11/5.05 (~((~v90(constB25, bitIndex0)) <=> v90(constB24, bitIndex0))),
% 7.11/5.05 inference(unit_resolution,[status(thm)],[5407, 2401])).
% 7.11/5.05 tff(5409,plain,
% 7.11/5.05 ((((~v129(constB24, bitIndex2)) <=> v127(constB23, bitIndex2)) | ((~v129(constB24, bitIndex1)) <=> v127(constB23, bitIndex1)) | ((~v129(constB24, bitIndex0)) <=> v127(constB23, bitIndex0))) | (~((~v129(constB24, bitIndex0)) <=> v127(constB23, bitIndex0)))),
% 7.11/5.05 inference(tautology,[status(thm)],[])).
% 7.11/5.05 tff(5410,plain,
% 7.11/5.05 (~((~v129(constB24, bitIndex0)) <=> v127(constB23, bitIndex0))),
% 7.11/5.05 inference(unit_resolution,[status(thm)],[5409, 2410])).
% 7.11/5.05 tff(5411,plain,
% 7.11/5.05 ((((~v127(constB23, bitIndex2)) <=> v130(constB23, bitIndex2)) | ((~v127(constB23, bitIndex1)) <=> v130(constB23, bitIndex1)) | ((~v127(constB23, bitIndex0)) <=> v130(constB23, bitIndex0))) | (~((~v127(constB23, bitIndex0)) <=> v130(constB23, bitIndex0)))),
% 7.11/5.05 inference(tautology,[status(thm)],[])).
% 7.11/5.05 tff(5412,plain,
% 7.11/5.05 (~((~v127(constB23, bitIndex0)) <=> v130(constB23, bitIndex0))),
% 7.11/5.05 inference(unit_resolution,[status(thm)],[5411, 2424])).
% 7.11/5.05 tff(5413,plain,
% 7.11/5.05 ((v130(constB23, bitIndex0) | (~v130(constB23, bitIndex2)) | (~v130(constB23, bitIndex1))) | (~v130(constB23, bitIndex0))),
% 7.11/5.05 inference(tautology,[status(thm)],[])).
% 7.11/5.05 tff(5414,plain,
% 7.11/5.05 (~v130(constB23, bitIndex0)),
% 7.11/5.05 inference(unit_resolution,[status(thm)],[5413, 5178])).
% 7.11/5.05 tff(5415,plain,
% 7.11/5.05 (((~v127(constB23, bitIndex0)) <=> v130(constB23, bitIndex0)) | (~v127(constB23, bitIndex0)) | v130(constB23, bitIndex0)),
% 7.11/5.05 inference(tautology,[status(thm)],[])).
% 7.11/5.05 tff(5416,plain,
% 7.11/5.05 (~v127(constB23, bitIndex0)),
% 7.11/5.05 inference(unit_resolution,[status(thm)],[5415, 5414, 5412])).
% 7.11/5.05 tff(5417,plain,
% 7.11/5.05 (((~v129(constB24, bitIndex0)) <=> v127(constB23, bitIndex0)) | (~v129(constB24, bitIndex0)) | v127(constB23, bitIndex0)),
% 7.11/5.05 inference(tautology,[status(thm)],[])).
% 7.11/5.05 tff(5418,plain,
% 7.11/5.05 (~v129(constB24, bitIndex0)),
% 7.11/5.05 inference(unit_resolution,[status(thm)],[5417, 5416, 5410])).
% 7.11/5.05 tff(5419,plain,
% 7.11/5.05 ((((~v90(constB24, bitIndex2)) <=> v129(constB24, bitIndex2)) | ((~v90(constB24, bitIndex1)) <=> v129(constB24, bitIndex1)) | ((~v90(constB24, bitIndex0)) <=> v129(constB24, bitIndex0))) | (~((~v90(constB24, bitIndex0)) <=> v129(constB24, bitIndex0)))),
% 7.11/5.05 inference(tautology,[status(thm)],[])).
% 7.11/5.05 tff(5420,plain,
% 7.11/5.05 (~((~v90(constB24, bitIndex0)) <=> v129(constB24, bitIndex0))),
% 7.11/5.05 inference(unit_resolution,[status(thm)],[5419, 5267])).
% 7.11/5.05 tff(5421,plain,
% 7.11/5.05 (((~v90(constB24, bitIndex0)) <=> v129(constB24, bitIndex0)) | (~v90(constB24, bitIndex0)) | v129(constB24, bitIndex0)),
% 7.11/5.05 inference(tautology,[status(thm)],[])).
% 7.11/5.05 tff(5422,plain,
% 7.11/5.05 (~v90(constB24, bitIndex0)),
% 7.11/5.05 inference(unit_resolution,[status(thm)],[5421, 5420, 5418])).
% 7.11/5.05 tff(5423,plain,
% 7.11/5.05 (((~v90(constB25, bitIndex0)) <=> v90(constB24, bitIndex0)) | (~v90(constB25, bitIndex0)) | v90(constB24, bitIndex0)),
% 7.11/5.05 inference(tautology,[status(thm)],[])).
% 7.11/5.05 tff(5424,plain,
% 7.11/5.05 (~v90(constB25, bitIndex0)),
% 7.11/5.05 inference(unit_resolution,[status(thm)],[5423, 5422, 5408])).
% 7.11/5.05 tff(5425,plain,
% 7.11/5.05 ((~(v90(constB25, bitIndex0) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex2)))) | v90(constB25, bitIndex0) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex2))),
% 7.11/5.05 inference(tautology,[status(thm)],[])).
% 7.11/5.05 tff(5426,plain,
% 7.11/5.05 (~(v90(constB25, bitIndex0) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex2)))),
% 7.11/5.05 inference(unit_resolution,[status(thm)],[5425, 5302, 5424, 5273])).
% 7.11/5.05 tff(5427,plain,
% 7.11/5.05 ((~(v125(constB25) <=> (~(v90(constB25, bitIndex0) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex2)))))) | v125(constB25) | (v90(constB25, bitIndex0) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex2)))),
% 7.11/5.05 inference(tautology,[status(thm)],[])).
% 7.11/5.05 tff(5428,plain,
% 7.11/5.05 (v125(constB25)),
% 7.11/5.05 inference(unit_resolution,[status(thm)],[5427, 5426, 5406])).
% 7.11/5.05 tff(5429,plain,
% 7.11/5.05 ((v114(constB25) | v125(constB25)) | (~v125(constB25))),
% 7.11/5.05 inference(tautology,[status(thm)],[])).
% 7.11/5.05 tff(5430,plain,
% 7.11/5.05 (v114(constB25) | v125(constB25)),
% 7.11/5.05 inference(unit_resolution,[status(thm)],[5429, 5428])).
% 7.11/5.05 tff(5431,plain,
% 7.11/5.05 ((~(v113(constB25) <=> (v114(constB25) | v125(constB25)))) | v113(constB25) | (~(v114(constB25) | v125(constB25)))),
% 7.11/5.05 inference(tautology,[status(thm)],[])).
% 7.11/5.05 tff(5432,plain,
% 7.11/5.05 (v113(constB25)),
% 7.11/5.05 inference(unit_resolution,[status(thm)],[5431, 5430, 5404])).
% 7.11/5.05 tff(5433,plain,
% 7.11/5.05 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB25)) <=> v111(constB25))),
% 7.11/5.05 inference(quant_inst,[status(thm)],[])).
% 7.11/5.05 tff(5434,plain,
% 7.11/5.05 ((~v126(constB25)) <=> v111(constB25)),
% 7.11/5.05 inference(unit_resolution,[status(thm)],[5433, 3396])).
% 7.11/5.05 tff(5435,plain,
% 7.11/5.05 ((~((~v126(constB25)) <=> v111(constB25))) | v126(constB25) | v111(constB25)),
% 7.11/5.05 inference(tautology,[status(thm)],[])).
% 7.11/5.05 tff(5436,plain,
% 7.11/5.05 ((~((~v126(constB25)) <=> v111(constB25))) | v126(constB25)),
% 7.11/5.05 inference(unit_resolution,[status(thm)],[5435, 2358])).
% 7.11/5.05 tff(5437,plain,
% 7.11/5.05 (v126(constB25)),
% 7.11/5.05 inference(unit_resolution,[status(thm)],[5436, 5434])).
% 7.11/5.05 tff(5438,plain,
% 7.11/5.05 ((~((~v113(constB25)) | (~v126(constB25)))) | (~v113(constB25)) | (~v126(constB25))),
% 7.11/5.05 inference(tautology,[status(thm)],[])).
% 7.11/5.05 tff(5439,plain,
% 7.11/5.05 ((~((~v113(constB25)) | (~v126(constB25)))) | (~v113(constB25))),
% 7.11/5.05 inference(unit_resolution,[status(thm)],[5438, 5437])).
% 7.11/5.05 tff(5440,plain,
% 7.11/5.05 (~((~v113(constB25)) | (~v126(constB25)))),
% 7.11/5.05 inference(unit_resolution,[status(thm)],[5439, 5432])).
% 7.11/5.05 tff(5441,plain,
% 7.11/5.05 ((~(v112(constB25) <=> (~((~v113(constB25)) | (~v126(constB25)))))) | v112(constB25) | ((~v113(constB25)) | (~v126(constB25)))),
% 7.11/5.05 inference(tautology,[status(thm)],[])).
% 7.11/5.05 tff(5442,plain,
% 7.11/5.05 (v112(constB25)),
% 7.11/5.05 inference(unit_resolution,[status(thm)],[5441, 5440, 5402])).
% 7.11/5.05 tff(5443,plain,
% 7.11/5.05 ((v111(constB25) | v112(constB25)) | (~v112(constB25))),
% 7.11/5.05 inference(tautology,[status(thm)],[])).
% 7.11/5.05 tff(5444,plain,
% 7.11/5.05 (v111(constB25) | v112(constB25)),
% 7.11/5.05 inference(unit_resolution,[status(thm)],[5443, 5442])).
% 7.11/5.05 tff(5445,plain,
% 7.11/5.05 ((~(v108(constB25) <=> (v111(constB25) | v112(constB25)))) | v108(constB25) | (~(v111(constB25) | v112(constB25)))),
% 7.11/5.05 inference(tautology,[status(thm)],[])).
% 7.11/5.05 tff(5446,plain,
% 7.11/5.05 (v108(constB25)),
% 7.11/5.05 inference(unit_resolution,[status(thm)],[5445, 5444, 5400])).
% 7.11/5.05 tff(5447,plain,
% 7.11/5.05 ((~(v110(constB26) <=> v108(constB25))) | v110(constB26) | (~v108(constB25))),
% 7.11/5.05 inference(tautology,[status(thm)],[])).
% 7.11/5.05 tff(5448,plain,
% 7.11/5.05 (v110(constB26)),
% 7.11/5.05 inference(unit_resolution,[status(thm)],[5447, 5446, 5398])).
% 7.11/5.05 tff(5449,plain,
% 7.11/5.05 ((~((~v101(constB26)) | (~v110(constB26)))) | (~v101(constB26)) | (~v110(constB26))),
% 7.11/5.05 inference(tautology,[status(thm)],[])).
% 7.11/5.05 tff(5450,plain,
% 7.11/5.05 (~((~v101(constB26)) | (~v110(constB26)))),
% 7.11/5.05 inference(unit_resolution,[status(thm)],[5449, 5448, 5394])).
% 7.11/5.05 tff(5451,plain,
% 7.11/5.05 ((~(v100(constB26) <=> (~((~v101(constB26)) | (~v110(constB26)))))) | v100(constB26) | ((~v101(constB26)) | (~v110(constB26)))),
% 7.11/5.05 inference(tautology,[status(thm)],[])).
% 7.11/5.05 tff(5452,plain,
% 7.11/5.05 (v100(constB26)),
% 7.11/5.05 inference(unit_resolution,[status(thm)],[5451, 5450, 5366])).
% 7.11/5.05 tff(5453,plain,
% 7.11/5.05 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB26)) | (~(((~v90(constB26, bitIndex0)) <=> v129(constB26, bitIndex0)) | ((~v90(constB26, bitIndex2)) <=> v129(constB26, bitIndex2)) | ((~v90(constB26, bitIndex1)) <=> v129(constB26, bitIndex1)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB26)) | (~(((~v90(constB26, bitIndex0)) <=> v129(constB26, bitIndex0)) | ((~v90(constB26, bitIndex2)) <=> v129(constB26, bitIndex2)) | ((~v90(constB26, bitIndex1)) <=> v129(constB26, bitIndex1)))))),
% 7.11/5.05 inference(rewrite,[status(thm)],[])).
% 7.11/5.05 tff(5454,plain,
% 7.11/5.05 (((~v100(constB26)) | (~(((~v90(constB26, bitIndex2)) <=> v129(constB26, bitIndex2)) | ((~v90(constB26, bitIndex1)) <=> v129(constB26, bitIndex1)) | ((~v90(constB26, bitIndex0)) <=> v129(constB26, bitIndex0))))) <=> ((~v100(constB26)) | (~(((~v90(constB26, bitIndex0)) <=> v129(constB26, bitIndex0)) | ((~v90(constB26, bitIndex2)) <=> v129(constB26, bitIndex2)) | ((~v90(constB26, bitIndex1)) <=> v129(constB26, bitIndex1)))))),
% 7.11/5.05 inference(rewrite,[status(thm)],[])).
% 7.11/5.05 tff(5455,plain,
% 7.11/5.05 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB26)) | (~(((~v90(constB26, bitIndex2)) <=> v129(constB26, bitIndex2)) | ((~v90(constB26, bitIndex1)) <=> v129(constB26, bitIndex1)) | ((~v90(constB26, bitIndex0)) <=> v129(constB26, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB26)) | (~(((~v90(constB26, bitIndex0)) <=> v129(constB26, bitIndex0)) | ((~v90(constB26, bitIndex2)) <=> v129(constB26, bitIndex2)) | ((~v90(constB26, bitIndex1)) <=> v129(constB26, bitIndex1))))))),
% 7.11/5.05 inference(monotonicity,[status(thm)],[5454])).
% 7.11/5.05 tff(5456,plain,
% 7.11/5.05 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB26)) | (~(((~v90(constB26, bitIndex2)) <=> v129(constB26, bitIndex2)) | ((~v90(constB26, bitIndex1)) <=> v129(constB26, bitIndex1)) | ((~v90(constB26, bitIndex0)) <=> v129(constB26, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB26)) | (~(((~v90(constB26, bitIndex0)) <=> v129(constB26, bitIndex0)) | ((~v90(constB26, bitIndex2)) <=> v129(constB26, bitIndex2)) | ((~v90(constB26, bitIndex1)) <=> v129(constB26, bitIndex1)))))),
% 7.11/5.05 inference(transitivity,[status(thm)],[5455, 5453])).
% 7.11/5.05 tff(5457,plain,
% 7.11/5.05 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB26)) | (~(((~v90(constB26, bitIndex2)) <=> v129(constB26, bitIndex2)) | ((~v90(constB26, bitIndex1)) <=> v129(constB26, bitIndex1)) | ((~v90(constB26, bitIndex0)) <=> v129(constB26, bitIndex0)))))),
% 7.11/5.05 inference(quant_inst,[status(thm)],[])).
% 7.11/5.05 tff(5458,plain,
% 7.11/5.05 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB26)) | (~(((~v90(constB26, bitIndex0)) <=> v129(constB26, bitIndex0)) | ((~v90(constB26, bitIndex2)) <=> v129(constB26, bitIndex2)) | ((~v90(constB26, bitIndex1)) <=> v129(constB26, bitIndex1))))),
% 7.11/5.05 inference(modus_ponens,[status(thm)],[5457, 5456])).
% 7.11/5.05 tff(5459,plain,
% 7.11/5.05 ((~v100(constB26)) | (~(((~v90(constB26, bitIndex0)) <=> v129(constB26, bitIndex0)) | ((~v90(constB26, bitIndex2)) <=> v129(constB26, bitIndex2)) | ((~v90(constB26, bitIndex1)) <=> v129(constB26, bitIndex1))))),
% 7.11/5.05 inference(unit_resolution,[status(thm)],[5458, 3429])).
% 7.11/5.05 tff(5460,plain,
% 7.11/5.05 (~(((~v90(constB26, bitIndex0)) <=> v129(constB26, bitIndex0)) | ((~v90(constB26, bitIndex2)) <=> v129(constB26, bitIndex2)) | ((~v90(constB26, bitIndex1)) <=> v129(constB26, bitIndex1)))),
% 7.11/5.05 inference(unit_resolution,[status(thm)],[5459, 5452])).
% 7.11/5.05 tff(5461,plain,
% 7.11/5.05 ((((~v90(constB26, bitIndex0)) <=> v129(constB26, bitIndex0)) | ((~v90(constB26, bitIndex2)) <=> v129(constB26, bitIndex2)) | ((~v90(constB26, bitIndex1)) <=> v129(constB26, bitIndex1))) | (~((~v90(constB26, bitIndex2)) <=> v129(constB26, bitIndex2)))),
% 7.11/5.05 inference(tautology,[status(thm)],[])).
% 7.11/5.05 tff(5462,plain,
% 7.11/5.05 (~((~v90(constB26, bitIndex2)) <=> v129(constB26, bitIndex2))),
% 7.11/5.05 inference(unit_resolution,[status(thm)],[5461, 5460])).
% 7.11/5.05 tff(5463,plain,
% 7.11/5.05 (((~v90(constB26, bitIndex2)) <=> v129(constB26, bitIndex2)) | (~v90(constB26, bitIndex2)) | v129(constB26, bitIndex2)),
% 7.11/5.05 inference(tautology,[status(thm)],[])).
% 7.11/5.05 tff(5464,plain,
% 7.11/5.05 (~v90(constB26, bitIndex2)),
% 7.11/5.05 inference(unit_resolution,[status(thm)],[5463, 5462, 5362])).
% 7.11/5.05 tff(5465,plain,
% 7.11/5.05 (((~v90(constB27, bitIndex2)) <=> v90(constB26, bitIndex2)) | (~v90(constB27, bitIndex2)) | v90(constB26, bitIndex2)),
% 7.11/5.05 inference(tautology,[status(thm)],[])).
% 7.11/5.05 tff(5466,plain,
% 7.11/5.05 (~v90(constB27, bitIndex2)),
% 7.11/5.05 inference(unit_resolution,[status(thm)],[5465, 5464, 2342])).
% 7.11/5.05 tff(5467,plain,
% 7.11/5.05 ((((~v90(constB27, bitIndex1)) <=> v90(constB26, bitIndex1)) | ((~v90(constB27, bitIndex2)) <=> v90(constB26, bitIndex2)) | ((~v90(constB27, bitIndex0)) <=> v90(constB26, bitIndex0))) | (~((~v90(constB27, bitIndex0)) <=> v90(constB26, bitIndex0)))),
% 7.11/5.05 inference(tautology,[status(thm)],[])).
% 7.11/5.05 tff(5468,plain,
% 7.11/5.05 (~((~v90(constB27, bitIndex0)) <=> v90(constB26, bitIndex0))),
% 7.11/5.05 inference(unit_resolution,[status(thm)],[5467, 2340])).
% 7.11/5.05 tff(5469,plain,
% 7.11/5.05 ((((~v129(constB26, bitIndex2)) <=> v127(constB25, bitIndex2)) | ((~v129(constB26, bitIndex1)) <=> v127(constB25, bitIndex1)) | ((~v129(constB26, bitIndex0)) <=> v127(constB25, bitIndex0))) | (~((~v129(constB26, bitIndex0)) <=> v127(constB25, bitIndex0)))),
% 7.11/5.05 inference(tautology,[status(thm)],[])).
% 7.11/5.05 tff(5470,plain,
% 7.11/5.05 (~((~v129(constB26, bitIndex0)) <=> v127(constB25, bitIndex0))),
% 7.11/5.05 inference(unit_resolution,[status(thm)],[5469, 2349])).
% 7.11/5.05 tff(5471,plain,
% 7.11/5.05 ((((~v127(constB25, bitIndex2)) <=> v130(constB25, bitIndex2)) | ((~v127(constB25, bitIndex1)) <=> v130(constB25, bitIndex1)) | ((~v127(constB25, bitIndex0)) <=> v130(constB25, bitIndex0))) | (~((~v127(constB25, bitIndex0)) <=> v130(constB25, bitIndex0)))),
% 7.11/5.05 inference(tautology,[status(thm)],[])).
% 7.11/5.05 tff(5472,plain,
% 7.11/5.05 (~((~v127(constB25, bitIndex0)) <=> v130(constB25, bitIndex0))),
% 7.11/5.05 inference(unit_resolution,[status(thm)],[5471, 2363])).
% 7.11/5.05 tff(5473,plain,
% 7.11/5.05 ((v130(constB25, bitIndex2) | v130(constB25, bitIndex1) | (~v130(constB25, bitIndex0))) | v130(constB25, bitIndex0)),
% 7.11/5.05 inference(tautology,[status(thm)],[])).
% 7.11/5.05 tff(5474,plain,
% 7.11/5.05 (v130(constB25, bitIndex0)),
% 7.11/5.05 inference(unit_resolution,[status(thm)],[5473, 5356])).
% 7.11/5.05 tff(5475,plain,
% 7.11/5.05 (((~v127(constB25, bitIndex0)) <=> v130(constB25, bitIndex0)) | v127(constB25, bitIndex0) | (~v130(constB25, bitIndex0))),
% 7.11/5.05 inference(tautology,[status(thm)],[])).
% 7.11/5.05 tff(5476,plain,
% 7.11/5.05 (v127(constB25, bitIndex0)),
% 7.11/5.05 inference(unit_resolution,[status(thm)],[5475, 5474, 5472])).
% 7.11/5.05 tff(5477,plain,
% 7.11/5.05 (((~v129(constB26, bitIndex0)) <=> v127(constB25, bitIndex0)) | v129(constB26, bitIndex0) | (~v127(constB25, bitIndex0))),
% 7.11/5.05 inference(tautology,[status(thm)],[])).
% 7.11/5.05 tff(5478,plain,
% 7.11/5.05 (v129(constB26, bitIndex0)),
% 7.11/5.05 inference(unit_resolution,[status(thm)],[5477, 5476, 5470])).
% 7.11/5.05 tff(5479,plain,
% 7.11/5.05 ((((~v90(constB26, bitIndex0)) <=> v129(constB26, bitIndex0)) | ((~v90(constB26, bitIndex2)) <=> v129(constB26, bitIndex2)) | ((~v90(constB26, bitIndex1)) <=> v129(constB26, bitIndex1))) | (~((~v90(constB26, bitIndex0)) <=> v129(constB26, bitIndex0)))),
% 7.11/5.05 inference(tautology,[status(thm)],[])).
% 7.11/5.05 tff(5480,plain,
% 7.11/5.05 (~((~v90(constB26, bitIndex0)) <=> v129(constB26, bitIndex0))),
% 7.11/5.05 inference(unit_resolution,[status(thm)],[5479, 5460])).
% 7.11/5.05 tff(5481,plain,
% 7.11/5.05 (((~v90(constB26, bitIndex0)) <=> v129(constB26, bitIndex0)) | v90(constB26, bitIndex0) | (~v129(constB26, bitIndex0))),
% 7.11/5.05 inference(tautology,[status(thm)],[])).
% 7.11/5.05 tff(5482,plain,
% 7.11/5.05 (v90(constB26, bitIndex0)),
% 7.11/5.05 inference(unit_resolution,[status(thm)],[5481, 5480, 5478])).
% 7.11/5.05 tff(5483,plain,
% 7.11/5.05 (((~v90(constB27, bitIndex0)) <=> v90(constB26, bitIndex0)) | v90(constB27, bitIndex0) | (~v90(constB26, bitIndex0))),
% 7.11/5.05 inference(tautology,[status(thm)],[])).
% 7.11/5.05 tff(5484,plain,
% 7.11/5.05 (v90(constB27, bitIndex0)),
% 7.11/5.05 inference(unit_resolution,[status(thm)],[5483, 5482, 5468])).
% 7.11/5.05 tff(5485,plain,
% 7.11/5.05 ((((~v90(constB27, bitIndex1)) <=> v90(constB26, bitIndex1)) | ((~v90(constB27, bitIndex2)) <=> v90(constB26, bitIndex2)) | ((~v90(constB27, bitIndex0)) <=> v90(constB26, bitIndex0))) | (~((~v90(constB27, bitIndex1)) <=> v90(constB26, bitIndex1)))),
% 7.11/5.05 inference(tautology,[status(thm)],[])).
% 7.11/5.05 tff(5486,plain,
% 7.11/5.05 (~((~v90(constB27, bitIndex1)) <=> v90(constB26, bitIndex1))),
% 7.11/5.05 inference(unit_resolution,[status(thm)],[5485, 2340])).
% 7.11/5.05 tff(5487,plain,
% 7.11/5.05 ((((~v129(constB26, bitIndex2)) <=> v127(constB25, bitIndex2)) | ((~v129(constB26, bitIndex1)) <=> v127(constB25, bitIndex1)) | ((~v129(constB26, bitIndex0)) <=> v127(constB25, bitIndex0))) | (~((~v129(constB26, bitIndex1)) <=> v127(constB25, bitIndex1)))),
% 7.11/5.05 inference(tautology,[status(thm)],[])).
% 7.11/5.05 tff(5488,plain,
% 7.11/5.05 (~((~v129(constB26, bitIndex1)) <=> v127(constB25, bitIndex1))),
% 7.11/5.05 inference(unit_resolution,[status(thm)],[5487, 2349])).
% 7.11/5.05 tff(5489,plain,
% 7.11/5.05 ((((~v127(constB25, bitIndex2)) <=> v130(constB25, bitIndex2)) | ((~v127(constB25, bitIndex1)) <=> v130(constB25, bitIndex1)) | ((~v127(constB25, bitIndex0)) <=> v130(constB25, bitIndex0))) | (~((~v127(constB25, bitIndex1)) <=> v130(constB25, bitIndex1)))),
% 7.11/5.05 inference(tautology,[status(thm)],[])).
% 7.11/5.05 tff(5490,plain,
% 7.11/5.05 (~((~v127(constB25, bitIndex1)) <=> v130(constB25, bitIndex1))),
% 7.11/5.05 inference(unit_resolution,[status(thm)],[5489, 2363])).
% 7.11/5.05 tff(5491,plain,
% 7.11/5.05 ((v130(constB25, bitIndex2) | v130(constB25, bitIndex1) | (~v130(constB25, bitIndex0))) | (~v130(constB25, bitIndex1))),
% 7.11/5.05 inference(tautology,[status(thm)],[])).
% 7.11/5.05 tff(5492,plain,
% 7.11/5.05 (~v130(constB25, bitIndex1)),
% 7.11/5.05 inference(unit_resolution,[status(thm)],[5491, 5356])).
% 7.11/5.05 tff(5493,plain,
% 7.11/5.05 (((~v127(constB25, bitIndex1)) <=> v130(constB25, bitIndex1)) | (~v127(constB25, bitIndex1)) | v130(constB25, bitIndex1)),
% 7.11/5.05 inference(tautology,[status(thm)],[])).
% 7.11/5.05 tff(5494,plain,
% 7.11/5.05 (~v127(constB25, bitIndex1)),
% 7.11/5.05 inference(unit_resolution,[status(thm)],[5493, 5492, 5490])).
% 7.11/5.05 tff(5495,plain,
% 7.11/5.05 (((~v129(constB26, bitIndex1)) <=> v127(constB25, bitIndex1)) | (~v129(constB26, bitIndex1)) | v127(constB25, bitIndex1)),
% 7.11/5.05 inference(tautology,[status(thm)],[])).
% 7.11/5.05 tff(5496,plain,
% 7.11/5.05 (~v129(constB26, bitIndex1)),
% 7.11/5.05 inference(unit_resolution,[status(thm)],[5495, 5494, 5488])).
% 7.11/5.05 tff(5497,plain,
% 7.11/5.05 ((((~v90(constB26, bitIndex0)) <=> v129(constB26, bitIndex0)) | ((~v90(constB26, bitIndex2)) <=> v129(constB26, bitIndex2)) | ((~v90(constB26, bitIndex1)) <=> v129(constB26, bitIndex1))) | (~((~v90(constB26, bitIndex1)) <=> v129(constB26, bitIndex1)))),
% 7.11/5.05 inference(tautology,[status(thm)],[])).
% 7.11/5.05 tff(5498,plain,
% 7.11/5.05 (~((~v90(constB26, bitIndex1)) <=> v129(constB26, bitIndex1))),
% 7.11/5.05 inference(unit_resolution,[status(thm)],[5497, 5460])).
% 7.11/5.05 tff(5499,plain,
% 7.11/5.05 (((~v90(constB26, bitIndex1)) <=> v129(constB26, bitIndex1)) | (~v90(constB26, bitIndex1)) | v129(constB26, bitIndex1)),
% 7.11/5.05 inference(tautology,[status(thm)],[])).
% 7.11/5.05 tff(5500,plain,
% 7.11/5.05 (~v90(constB26, bitIndex1)),
% 7.11/5.05 inference(unit_resolution,[status(thm)],[5499, 5498, 5496])).
% 7.11/5.05 tff(5501,plain,
% 7.11/5.05 (((~v90(constB27, bitIndex1)) <=> v90(constB26, bitIndex1)) | (~v90(constB27, bitIndex1)) | v90(constB26, bitIndex1)),
% 7.11/5.05 inference(tautology,[status(thm)],[])).
% 7.11/5.05 tff(5502,plain,
% 7.11/5.05 (~v90(constB27, bitIndex1)),
% 7.11/5.05 inference(unit_resolution,[status(thm)],[5501, 5500, 5486])).
% 7.11/5.05 tff(5503,plain,
% 7.11/5.05 ((~(v90(constB27, bitIndex1) | v90(constB27, bitIndex2) | (~v90(constB27, bitIndex0)))) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2) | (~v90(constB27, bitIndex0))),
% 7.11/5.05 inference(tautology,[status(thm)],[])).
% 7.11/5.05 tff(5504,plain,
% 7.11/5.05 (~(v90(constB27, bitIndex1) | v90(constB27, bitIndex2) | (~v90(constB27, bitIndex0)))),
% 7.11/5.05 inference(unit_resolution,[status(thm)],[5503, 5502, 5484, 5466])).
% 7.11/5.05 tff(5505,plain,
% 7.11/5.05 ((~(v120(constB27) <=> (~(v90(constB27, bitIndex1) | v90(constB27, bitIndex2) | (~v90(constB27, bitIndex0)))))) | v120(constB27) | (v90(constB27, bitIndex1) | v90(constB27, bitIndex2) | (~v90(constB27, bitIndex0)))),
% 7.11/5.06 inference(tautology,[status(thm)],[])).
% 7.11/5.06 tff(5506,plain,
% 7.11/5.06 (v120(constB27)),
% 7.11/5.06 inference(unit_resolution,[status(thm)],[5505, 5504, 2306])).
% 7.11/5.06 tff(5507,plain,
% 7.11/5.06 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB27)) | (~(v130(constB27, bitIndex2) | v130(constB27, bitIndex0) | (~v130(constB27, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB27)) | (~(v130(constB27, bitIndex2) | v130(constB27, bitIndex0) | (~v130(constB27, bitIndex1)))))),
% 7.11/5.06 inference(rewrite,[status(thm)],[])).
% 7.11/5.06 tff(5508,plain,
% 7.11/5.06 (((~v120(constB27)) | (~(v130(constB27, bitIndex0) | v130(constB27, bitIndex2) | (~v130(constB27, bitIndex1))))) <=> ((~v120(constB27)) | (~(v130(constB27, bitIndex2) | v130(constB27, bitIndex0) | (~v130(constB27, bitIndex1)))))),
% 7.11/5.06 inference(rewrite,[status(thm)],[])).
% 7.11/5.06 tff(5509,plain,
% 7.11/5.06 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB27)) | (~(v130(constB27, bitIndex0) | v130(constB27, bitIndex2) | (~v130(constB27, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB27)) | (~(v130(constB27, bitIndex2) | v130(constB27, bitIndex0) | (~v130(constB27, bitIndex1))))))),
% 7.11/5.06 inference(monotonicity,[status(thm)],[5508])).
% 7.11/5.06 tff(5510,plain,
% 7.11/5.06 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB27)) | (~(v130(constB27, bitIndex0) | v130(constB27, bitIndex2) | (~v130(constB27, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB27)) | (~(v130(constB27, bitIndex2) | v130(constB27, bitIndex0) | (~v130(constB27, bitIndex1)))))),
% 7.11/5.06 inference(transitivity,[status(thm)],[5509, 5507])).
% 7.11/5.06 tff(5511,plain,
% 7.11/5.06 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB27)) | (~(v130(constB27, bitIndex0) | v130(constB27, bitIndex2) | (~v130(constB27, bitIndex1)))))),
% 7.11/5.06 inference(quant_inst,[status(thm)],[])).
% 7.11/5.06 tff(5512,plain,
% 7.11/5.06 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB27)) | (~(v130(constB27, bitIndex2) | v130(constB27, bitIndex0) | (~v130(constB27, bitIndex1))))),
% 7.11/5.06 inference(modus_ponens,[status(thm)],[5511, 5510])).
% 7.11/5.06 tff(5513,plain,
% 7.11/5.06 ((~v120(constB27)) | (~(v130(constB27, bitIndex2) | v130(constB27, bitIndex0) | (~v130(constB27, bitIndex1))))),
% 7.11/5.06 inference(unit_resolution,[status(thm)],[5512, 3881])).
% 7.11/5.06 tff(5514,plain,
% 7.11/5.06 (~(v130(constB27, bitIndex2) | v130(constB27, bitIndex0) | (~v130(constB27, bitIndex1)))),
% 7.11/5.06 inference(unit_resolution,[status(thm)],[5513, 5506])).
% 7.11/5.06 tff(5515,plain,
% 7.11/5.06 ((v130(constB27, bitIndex2) | v130(constB27, bitIndex0) | (~v130(constB27, bitIndex1))) | (~v130(constB27, bitIndex2))),
% 7.11/5.06 inference(tautology,[status(thm)],[])).
% 7.11/5.06 tff(5516,plain,
% 7.11/5.06 (~v130(constB27, bitIndex2)),
% 7.11/5.06 inference(unit_resolution,[status(thm)],[5515, 5514])).
% 7.11/5.06 tff(5517,plain,
% 7.11/5.06 (((~v127(constB27, bitIndex2)) <=> v130(constB27, bitIndex2)) | (~v127(constB27, bitIndex2)) | v130(constB27, bitIndex2)),
% 7.11/5.06 inference(tautology,[status(thm)],[])).
% 7.11/5.06 tff(5518,plain,
% 7.11/5.06 (~v127(constB27, bitIndex2)),
% 7.11/5.06 inference(unit_resolution,[status(thm)],[5517, 5516, 2304])).
% 7.11/5.06 tff(5519,plain,
% 7.11/5.06 (((~v129(constB28, bitIndex2)) <=> v127(constB27, bitIndex2)) | (~v129(constB28, bitIndex2)) | v127(constB27, bitIndex2)),
% 7.11/5.06 inference(tautology,[status(thm)],[])).
% 7.11/5.06 tff(5520,plain,
% 7.11/5.06 (~v129(constB28, bitIndex2)),
% 7.11/5.06 inference(unit_resolution,[status(thm)],[5519, 5518, 2290])).
% 7.11/5.06 tff(5521,plain,
% 7.11/5.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB27, constB28)) | (v100(constB28) <=> (~((~v101(constB28)) | (~v110(constB28))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB27, constB28)) | (v100(constB28) <=> (~((~v101(constB28)) | (~v110(constB28))))))),
% 7.11/5.06 inference(rewrite,[status(thm)],[])).
% 7.11/5.06 tff(5522,plain,
% 7.11/5.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB27, constB28)) | (v100(constB28) <=> (~((~v101(constB28)) | (~v110(constB28))))))),
% 7.11/5.06 inference(quant_inst,[status(thm)],[])).
% 7.11/5.06 tff(5523,plain,
% 7.11/5.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB27, constB28)) | (v100(constB28) <=> (~((~v101(constB28)) | (~v110(constB28)))))),
% 7.11/5.06 inference(modus_ponens,[status(thm)],[5522, 5521])).
% 7.11/5.06 tff(5524,plain,
% 7.11/5.06 (v100(constB28) <=> (~((~v101(constB28)) | (~v110(constB28))))),
% 7.11/5.06 inference(unit_resolution,[status(thm)],[5523, 2284, 445])).
% 7.11/5.06 tff(5525,plain,
% 7.11/5.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB27, constB28)) | (v101(constB28) <=> (~((~v1(constB28)) | (~v102(constB28))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB27, constB28)) | (v101(constB28) <=> (~((~v1(constB28)) | (~v102(constB28))))))),
% 7.11/5.06 inference(rewrite,[status(thm)],[])).
% 7.11/5.06 tff(5526,plain,
% 7.11/5.06 (((~nextState(constB27, constB28)) | (v101(constB28) <=> (~((~v102(constB28)) | (~v1(constB28)))))) <=> ((~nextState(constB27, constB28)) | (v101(constB28) <=> (~((~v1(constB28)) | (~v102(constB28))))))),
% 7.11/5.06 inference(rewrite,[status(thm)],[])).
% 7.11/5.06 tff(5527,plain,
% 7.11/5.06 (((~![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) <=> (~((~v1(constB28)) | (~v102(constB28)))))))),
% 7.11/5.06 inference(monotonicity,[status(thm)],[5526])).
% 7.11/5.06 tff(5528,plain,
% 7.11/5.06 (((~![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) <=> (~((~v1(constB28)) | (~v102(constB28))))))),
% 7.11/5.06 inference(transitivity,[status(thm)],[5527, 5525])).
% 7.11/5.06 tff(5529,plain,
% 7.11/5.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB27, constB28)) | (v101(constB28) <=> (~((~v102(constB28)) | (~v1(constB28))))))),
% 7.11/5.06 inference(quant_inst,[status(thm)],[])).
% 7.11/5.06 tff(5530,plain,
% 7.11/5.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB27, constB28)) | (v101(constB28) <=> (~((~v1(constB28)) | (~v102(constB28)))))),
% 7.11/5.06 inference(modus_ponens,[status(thm)],[5529, 5528])).
% 7.11/5.06 tff(5531,plain,
% 7.11/5.06 (v101(constB28) <=> (~((~v1(constB28)) | (~v102(constB28))))),
% 7.11/5.06 inference(unit_resolution,[status(thm)],[5530, 2284, 465])).
% 7.11/5.06 tff(5532,plain,
% 7.11/5.06 (((~![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)))),
% 7.11/5.06 inference(rewrite,[status(thm)],[])).
% 7.11/5.06 tff(5533,plain,
% 7.11/5.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB27, constB28)) | ((~v102(constB28)) <=> v104(constB28)))),
% 7.11/5.06 inference(quant_inst,[status(thm)],[])).
% 7.11/5.06 tff(5534,plain,
% 7.11/5.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB27, constB28)) | ((~v102(constB28)) <=> v104(constB28))),
% 7.11/5.06 inference(modus_ponens,[status(thm)],[5533, 5532])).
% 7.11/5.06 tff(5535,plain,
% 7.11/5.06 ((~v102(constB28)) <=> v104(constB28)),
% 7.11/5.06 inference(unit_resolution,[status(thm)],[5534, 2284, 3244])).
% 7.11/5.06 tff(5536,plain,
% 7.11/5.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB27, constB28)) | (v104(constB28) <=> v1(constB27)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB27, constB28)) | (v104(constB28) <=> v1(constB27)))),
% 7.11/5.06 inference(rewrite,[status(thm)],[])).
% 7.11/5.06 tff(5537,plain,
% 7.11/5.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB27, constB28)) | (v104(constB28) <=> v1(constB27)))),
% 7.11/5.06 inference(quant_inst,[status(thm)],[])).
% 7.11/5.06 tff(5538,plain,
% 7.11/5.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB27, constB28)) | (v104(constB28) <=> v1(constB27))),
% 7.11/5.06 inference(modus_ponens,[status(thm)],[5537, 5536])).
% 7.11/5.06 tff(5539,plain,
% 7.11/5.06 (v104(constB28) <=> v1(constB27)),
% 7.11/5.06 inference(unit_resolution,[status(thm)],[5538, 2284, 3258])).
% 7.11/5.06 tff(5540,plain,
% 7.11/5.06 ((~(v104(constB28) <=> v1(constB27))) | (~v104(constB28)) | v1(constB27)),
% 7.11/5.06 inference(tautology,[status(thm)],[])).
% 7.11/5.06 tff(5541,plain,
% 7.11/5.06 ((~(v104(constB28) <=> v1(constB27))) | (~v104(constB28))),
% 7.11/5.06 inference(unit_resolution,[status(thm)],[5540, 2323])).
% 7.11/5.06 tff(5542,plain,
% 7.11/5.06 (~v104(constB28)),
% 7.11/5.06 inference(unit_resolution,[status(thm)],[5541, 5539])).
% 7.11/5.06 tff(5543,plain,
% 7.11/5.06 ((~((~v102(constB28)) <=> v104(constB28))) | v102(constB28) | v104(constB28)),
% 7.11/5.06 inference(tautology,[status(thm)],[])).
% 7.11/5.06 tff(5544,plain,
% 7.11/5.06 (v102(constB28)),
% 7.11/5.06 inference(unit_resolution,[status(thm)],[5543, 5542, 5535])).
% 7.11/5.06 tff(5545,plain,
% 7.11/5.06 (v1(constB28) <=> v1(constB28)),
% 7.11/5.06 inference(rewrite,[status(thm)],[])).
% 7.11/5.06 tff(5546,axiom,(v1(constB28)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_28')).
% 7.11/5.06 tff(5547,plain,
% 7.11/5.06 (v1(constB28)),
% 7.11/5.06 inference(modus_ponens,[status(thm)],[5546, 5545])).
% 7.11/5.06 tff(5548,plain,
% 7.11/5.06 ((~((~v1(constB28)) | (~v102(constB28)))) | (~v1(constB28)) | (~v102(constB28))),
% 7.11/5.06 inference(tautology,[status(thm)],[])).
% 7.11/5.06 tff(5549,plain,
% 7.11/5.06 ((~((~v1(constB28)) | (~v102(constB28)))) | (~v102(constB28))),
% 7.11/5.06 inference(unit_resolution,[status(thm)],[5548, 5547])).
% 7.11/5.06 tff(5550,plain,
% 7.11/5.06 (~((~v1(constB28)) | (~v102(constB28)))),
% 7.11/5.06 inference(unit_resolution,[status(thm)],[5549, 5544])).
% 7.11/5.06 tff(5551,plain,
% 7.11/5.06 ((~(v101(constB28) <=> (~((~v1(constB28)) | (~v102(constB28)))))) | v101(constB28) | ((~v1(constB28)) | (~v102(constB28)))),
% 7.11/5.06 inference(tautology,[status(thm)],[])).
% 7.11/5.06 tff(5552,plain,
% 7.11/5.06 (v101(constB28)),
% 7.11/5.06 inference(unit_resolution,[status(thm)],[5551, 5550, 5531])).
% 7.11/5.06 tff(5553,plain,
% 7.11/5.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB27, constB28)) | (v110(constB28) <=> v108(constB27)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB27, constB28)) | (v110(constB28) <=> v108(constB27)))),
% 7.11/5.06 inference(rewrite,[status(thm)],[])).
% 7.11/5.06 tff(5554,plain,
% 7.11/5.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB27, constB28)) | (v110(constB28) <=> v108(constB27)))),
% 7.11/5.06 inference(quant_inst,[status(thm)],[])).
% 7.11/5.06 tff(5555,plain,
% 7.11/5.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB27, constB28)) | (v110(constB28) <=> v108(constB27))),
% 7.11/5.06 inference(modus_ponens,[status(thm)],[5554, 5553])).
% 7.11/5.06 tff(5556,plain,
% 7.11/5.06 (v110(constB28) <=> v108(constB27)),
% 7.11/5.06 inference(unit_resolution,[status(thm)],[5555, 2284, 3285])).
% 7.11/5.06 tff(5557,plain,
% 7.11/5.06 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB27) <=> (v111(constB27) | v112(constB27)))),
% 7.11/5.06 inference(quant_inst,[status(thm)],[])).
% 7.11/5.06 tff(5558,plain,
% 7.11/5.06 (v108(constB27) <=> (v111(constB27) | v112(constB27))),
% 7.11/5.06 inference(unit_resolution,[status(thm)],[5557, 3296])).
% 7.11/5.06 tff(5559,plain,
% 7.11/5.06 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB27) <=> (~((~v113(constB27)) | (~v126(constB27)))))),
% 7.11/5.06 inference(quant_inst,[status(thm)],[])).
% 7.11/5.06 tff(5560,plain,
% 7.11/5.06 (v112(constB27) <=> (~((~v113(constB27)) | (~v126(constB27))))),
% 7.11/5.06 inference(unit_resolution,[status(thm)],[5559, 3308])).
% 7.11/5.06 tff(5561,plain,
% 7.11/5.06 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB27) <=> (v114(constB27) | v125(constB27)))),
% 7.11/5.06 inference(quant_inst,[status(thm)],[])).
% 7.11/5.06 tff(5562,plain,
% 7.11/5.06 (v113(constB27) <=> (v114(constB27) | v125(constB27))),
% 7.11/5.06 inference(unit_resolution,[status(thm)],[5561, 3317])).
% 7.11/5.06 tff(5563,plain,
% 7.11/5.06 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB27) <=> (v115(constB27) | v124(constB27)))),
% 7.11/5.06 inference(quant_inst,[status(thm)],[])).
% 7.11/5.06 tff(5564,plain,
% 7.11/5.06 (v114(constB27) <=> (v115(constB27) | v124(constB27))),
% 7.11/5.06 inference(unit_resolution,[status(thm)],[5563, 3326])).
% 7.11/5.06 tff(5565,plain,
% 7.11/5.06 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB27) <=> (v116(constB27) | v123(constB27)))),
% 7.11/5.06 inference(quant_inst,[status(thm)],[])).
% 7.11/5.06 tff(5566,plain,
% 7.11/5.06 (v115(constB27) <=> (v116(constB27) | v123(constB27))),
% 7.11/5.06 inference(unit_resolution,[status(thm)],[5565, 3335])).
% 7.11/5.06 tff(5567,plain,
% 7.11/5.06 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB27) <=> (v117(constB27) | v122(constB27)))),
% 7.11/5.06 inference(quant_inst,[status(thm)],[])).
% 7.11/5.06 tff(5568,plain,
% 7.11/5.06 (v116(constB27) <=> (v117(constB27) | v122(constB27))),
% 7.11/5.06 inference(unit_resolution,[status(thm)],[5567, 3344])).
% 7.11/5.06 tff(5569,plain,
% 7.11/5.06 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB27) <=> (v118(constB27) | v121(constB27)))),
% 7.11/5.06 inference(quant_inst,[status(thm)],[])).
% 7.11/5.06 tff(5570,plain,
% 7.11/5.06 (v117(constB27) <=> (v118(constB27) | v121(constB27))),
% 7.11/5.06 inference(unit_resolution,[status(thm)],[5569, 3353])).
% 7.11/5.06 tff(5571,plain,
% 7.11/5.06 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB27) <=> (v119(constB27) | v120(constB27)))),
% 7.11/5.06 inference(quant_inst,[status(thm)],[])).
% 7.11/5.06 tff(5572,plain,
% 7.11/5.06 (v118(constB27) <=> (v119(constB27) | v120(constB27))),
% 7.11/5.06 inference(unit_resolution,[status(thm)],[5571, 3362])).
% 7.11/5.06 tff(5573,plain,
% 7.11/5.06 ((v119(constB27) | v120(constB27)) | (~v120(constB27))),
% 7.11/5.06 inference(tautology,[status(thm)],[])).
% 7.11/5.06 tff(5574,plain,
% 7.11/5.06 (v119(constB27) | v120(constB27)),
% 7.11/5.06 inference(unit_resolution,[status(thm)],[5573, 5506])).
% 7.11/5.06 tff(5575,plain,
% 7.11/5.06 ((~(v118(constB27) <=> (v119(constB27) | v120(constB27)))) | v118(constB27) | (~(v119(constB27) | v120(constB27)))),
% 7.11/5.06 inference(tautology,[status(thm)],[])).
% 7.11/5.06 tff(5576,plain,
% 7.11/5.06 (v118(constB27)),
% 7.11/5.06 inference(unit_resolution,[status(thm)],[5575, 5574, 5572])).
% 7.11/5.06 tff(5577,plain,
% 7.11/5.06 ((v118(constB27) | v121(constB27)) | (~v118(constB27))),
% 7.11/5.06 inference(tautology,[status(thm)],[])).
% 7.11/5.06 tff(5578,plain,
% 7.11/5.06 (v118(constB27) | v121(constB27)),
% 7.11/5.06 inference(unit_resolution,[status(thm)],[5577, 5576])).
% 7.11/5.06 tff(5579,plain,
% 7.11/5.06 ((~(v117(constB27) <=> (v118(constB27) | v121(constB27)))) | v117(constB27) | (~(v118(constB27) | v121(constB27)))),
% 7.11/5.06 inference(tautology,[status(thm)],[])).
% 7.11/5.06 tff(5580,plain,
% 7.11/5.06 (v117(constB27)),
% 7.11/5.06 inference(unit_resolution,[status(thm)],[5579, 5578, 5570])).
% 7.11/5.06 tff(5581,plain,
% 7.11/5.06 ((v117(constB27) | v122(constB27)) | (~v117(constB27))),
% 7.11/5.06 inference(tautology,[status(thm)],[])).
% 7.11/5.06 tff(5582,plain,
% 7.11/5.06 (v117(constB27) | v122(constB27)),
% 7.11/5.06 inference(unit_resolution,[status(thm)],[5581, 5580])).
% 7.11/5.06 tff(5583,plain,
% 7.11/5.06 ((~(v116(constB27) <=> (v117(constB27) | v122(constB27)))) | v116(constB27) | (~(v117(constB27) | v122(constB27)))),
% 7.11/5.06 inference(tautology,[status(thm)],[])).
% 7.11/5.06 tff(5584,plain,
% 7.11/5.06 (v116(constB27)),
% 7.11/5.06 inference(unit_resolution,[status(thm)],[5583, 5582, 5568])).
% 7.11/5.06 tff(5585,plain,
% 7.11/5.06 ((v116(constB27) | v123(constB27)) | (~v116(constB27))),
% 7.11/5.06 inference(tautology,[status(thm)],[])).
% 7.11/5.06 tff(5586,plain,
% 7.11/5.06 (v116(constB27) | v123(constB27)),
% 7.11/5.06 inference(unit_resolution,[status(thm)],[5585, 5584])).
% 7.11/5.06 tff(5587,plain,
% 7.11/5.06 ((~(v115(constB27) <=> (v116(constB27) | v123(constB27)))) | v115(constB27) | (~(v116(constB27) | v123(constB27)))),
% 7.11/5.06 inference(tautology,[status(thm)],[])).
% 7.11/5.06 tff(5588,plain,
% 7.11/5.06 (v115(constB27)),
% 7.11/5.06 inference(unit_resolution,[status(thm)],[5587, 5586, 5566])).
% 7.11/5.06 tff(5589,plain,
% 7.11/5.06 ((v115(constB27) | v124(constB27)) | (~v115(constB27))),
% 7.11/5.06 inference(tautology,[status(thm)],[])).
% 7.11/5.06 tff(5590,plain,
% 7.11/5.06 (v115(constB27) | v124(constB27)),
% 7.11/5.06 inference(unit_resolution,[status(thm)],[5589, 5588])).
% 7.11/5.06 tff(5591,plain,
% 7.11/5.06 ((~(v114(constB27) <=> (v115(constB27) | v124(constB27)))) | v114(constB27) | (~(v115(constB27) | v124(constB27)))),
% 7.11/5.06 inference(tautology,[status(thm)],[])).
% 7.11/5.06 tff(5592,plain,
% 7.11/5.06 (v114(constB27)),
% 7.11/5.06 inference(unit_resolution,[status(thm)],[5591, 5590, 5564])).
% 7.11/5.06 tff(5593,plain,
% 7.11/5.06 ((v114(constB27) | v125(constB27)) | (~v114(constB27))),
% 7.11/5.06 inference(tautology,[status(thm)],[])).
% 7.11/5.06 tff(5594,plain,
% 7.11/5.06 (v114(constB27) | v125(constB27)),
% 7.11/5.06 inference(unit_resolution,[status(thm)],[5593, 5592])).
% 7.11/5.06 tff(5595,plain,
% 7.11/5.06 ((~(v113(constB27) <=> (v114(constB27) | v125(constB27)))) | v113(constB27) | (~(v114(constB27) | v125(constB27)))),
% 7.11/5.06 inference(tautology,[status(thm)],[])).
% 7.11/5.06 tff(5596,plain,
% 7.11/5.06 (v113(constB27)),
% 7.11/5.06 inference(unit_resolution,[status(thm)],[5595, 5594, 5562])).
% 7.11/5.06 tff(5597,plain,
% 7.11/5.06 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB27)) <=> v111(constB27))),
% 7.11/5.06 inference(quant_inst,[status(thm)],[])).
% 7.11/5.06 tff(5598,plain,
% 7.11/5.06 ((~v126(constB27)) <=> v111(constB27)),
% 7.11/5.06 inference(unit_resolution,[status(thm)],[5597, 3396])).
% 7.11/5.06 tff(5599,plain,
% 7.11/5.06 ((~((~v126(constB27)) <=> v111(constB27))) | v126(constB27) | v111(constB27)),
% 7.11/5.06 inference(tautology,[status(thm)],[])).
% 7.11/5.06 tff(5600,plain,
% 7.11/5.06 ((~((~v126(constB27)) <=> v111(constB27))) | v126(constB27)),
% 7.11/5.06 inference(unit_resolution,[status(thm)],[5599, 2297])).
% 7.11/5.06 tff(5601,plain,
% 7.11/5.06 (v126(constB27)),
% 7.11/5.06 inference(unit_resolution,[status(thm)],[5600, 5598])).
% 7.11/5.06 tff(5602,plain,
% 7.11/5.06 ((~((~v113(constB27)) | (~v126(constB27)))) | (~v113(constB27)) | (~v126(constB27))),
% 7.11/5.06 inference(tautology,[status(thm)],[])).
% 7.11/5.06 tff(5603,plain,
% 7.11/5.06 ((~((~v113(constB27)) | (~v126(constB27)))) | (~v113(constB27))),
% 7.11/5.06 inference(unit_resolution,[status(thm)],[5602, 5601])).
% 7.11/5.06 tff(5604,plain,
% 7.11/5.06 (~((~v113(constB27)) | (~v126(constB27)))),
% 7.11/5.06 inference(unit_resolution,[status(thm)],[5603, 5596])).
% 7.11/5.06 tff(5605,plain,
% 7.11/5.06 ((~(v112(constB27) <=> (~((~v113(constB27)) | (~v126(constB27)))))) | v112(constB27) | ((~v113(constB27)) | (~v126(constB27)))),
% 7.11/5.06 inference(tautology,[status(thm)],[])).
% 7.11/5.06 tff(5606,plain,
% 7.11/5.06 (v112(constB27)),
% 7.11/5.06 inference(unit_resolution,[status(thm)],[5605, 5604, 5560])).
% 7.11/5.06 tff(5607,plain,
% 7.11/5.06 ((v111(constB27) | v112(constB27)) | (~v112(constB27))),
% 7.11/5.06 inference(tautology,[status(thm)],[])).
% 7.11/5.06 tff(5608,plain,
% 7.11/5.06 (v111(constB27) | v112(constB27)),
% 7.11/5.06 inference(unit_resolution,[status(thm)],[5607, 5606])).
% 7.11/5.06 tff(5609,plain,
% 7.11/5.06 ((~(v108(constB27) <=> (v111(constB27) | v112(constB27)))) | v108(constB27) | (~(v111(constB27) | v112(constB27)))),
% 7.11/5.06 inference(tautology,[status(thm)],[])).
% 7.11/5.06 tff(5610,plain,
% 7.11/5.06 (v108(constB27)),
% 7.11/5.06 inference(unit_resolution,[status(thm)],[5609, 5608, 5558])).
% 7.11/5.06 tff(5611,plain,
% 7.11/5.06 ((~(v110(constB28) <=> v108(constB27))) | v110(constB28) | (~v108(constB27))),
% 7.11/5.06 inference(tautology,[status(thm)],[])).
% 7.11/5.06 tff(5612,plain,
% 7.11/5.06 (v110(constB28)),
% 7.11/5.06 inference(unit_resolution,[status(thm)],[5611, 5610, 5556])).
% 7.11/5.06 tff(5613,plain,
% 7.11/5.06 ((~((~v101(constB28)) | (~v110(constB28)))) | (~v101(constB28)) | (~v110(constB28))),
% 7.11/5.06 inference(tautology,[status(thm)],[])).
% 7.11/5.06 tff(5614,plain,
% 7.11/5.06 (~((~v101(constB28)) | (~v110(constB28)))),
% 7.11/5.06 inference(unit_resolution,[status(thm)],[5613, 5612, 5552])).
% 7.11/5.06 tff(5615,plain,
% 7.11/5.06 ((~(v100(constB28) <=> (~((~v101(constB28)) | (~v110(constB28)))))) | v100(constB28) | ((~v101(constB28)) | (~v110(constB28)))),
% 7.11/5.06 inference(tautology,[status(thm)],[])).
% 7.11/5.06 tff(5616,plain,
% 7.11/5.06 (v100(constB28)),
% 7.11/5.06 inference(unit_resolution,[status(thm)],[5615, 5614, 5524])).
% 7.11/5.06 tff(5617,plain,
% 7.11/5.06 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB28)) | (~(((~v90(constB28, bitIndex2)) <=> v129(constB28, bitIndex2)) | ((~v90(constB28, bitIndex1)) <=> v129(constB28, bitIndex1)) | ((~v90(constB28, bitIndex0)) <=> v129(constB28, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB28)) | (~(((~v90(constB28, bitIndex2)) <=> v129(constB28, bitIndex2)) | ((~v90(constB28, bitIndex1)) <=> v129(constB28, bitIndex1)) | ((~v90(constB28, bitIndex0)) <=> v129(constB28, bitIndex0)))))),
% 7.11/5.06 inference(rewrite,[status(thm)],[])).
% 7.11/5.06 tff(5618,plain,
% 7.11/5.06 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB28)) | (~(((~v90(constB28, bitIndex2)) <=> v129(constB28, bitIndex2)) | ((~v90(constB28, bitIndex1)) <=> v129(constB28, bitIndex1)) | ((~v90(constB28, bitIndex0)) <=> v129(constB28, bitIndex0)))))),
% 7.11/5.06 inference(quant_inst,[status(thm)],[])).
% 7.11/5.06 tff(5619,plain,
% 7.11/5.06 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB28)) | (~(((~v90(constB28, bitIndex2)) <=> v129(constB28, bitIndex2)) | ((~v90(constB28, bitIndex1)) <=> v129(constB28, bitIndex1)) | ((~v90(constB28, bitIndex0)) <=> v129(constB28, bitIndex0))))),
% 7.11/5.06 inference(modus_ponens,[status(thm)],[5618, 5617])).
% 7.11/5.06 tff(5620,plain,
% 7.11/5.06 ((~v100(constB28)) | (~(((~v90(constB28, bitIndex2)) <=> v129(constB28, bitIndex2)) | ((~v90(constB28, bitIndex1)) <=> v129(constB28, bitIndex1)) | ((~v90(constB28, bitIndex0)) <=> v129(constB28, bitIndex0))))),
% 7.11/5.06 inference(unit_resolution,[status(thm)],[5619, 3429])).
% 7.11/5.06 tff(5621,plain,
% 7.11/5.06 (~(((~v90(constB28, bitIndex2)) <=> v129(constB28, bitIndex2)) | ((~v90(constB28, bitIndex1)) <=> v129(constB28, bitIndex1)) | ((~v90(constB28, bitIndex0)) <=> v129(constB28, bitIndex0)))),
% 7.11/5.06 inference(unit_resolution,[status(thm)],[5620, 5616])).
% 7.11/5.06 tff(5622,plain,
% 7.11/5.06 ((((~v90(constB28, bitIndex2)) <=> v129(constB28, bitIndex2)) | ((~v90(constB28, bitIndex1)) <=> v129(constB28, bitIndex1)) | ((~v90(constB28, bitIndex0)) <=> v129(constB28, bitIndex0))) | (~((~v90(constB28, bitIndex2)) <=> v129(constB28, bitIndex2)))),
% 7.11/5.06 inference(tautology,[status(thm)],[])).
% 7.11/5.06 tff(5623,plain,
% 7.11/5.06 (~((~v90(constB28, bitIndex2)) <=> v129(constB28, bitIndex2))),
% 7.11/5.06 inference(unit_resolution,[status(thm)],[5622, 5621])).
% 7.11/5.06 tff(5624,plain,
% 7.11/5.06 (((~v90(constB28, bitIndex2)) <=> v129(constB28, bitIndex2)) | (~v90(constB28, bitIndex2)) | v129(constB28, bitIndex2)),
% 7.11/5.06 inference(tautology,[status(thm)],[])).
% 7.11/5.06 tff(5625,plain,
% 7.11/5.06 (~v90(constB28, bitIndex2)),
% 7.11/5.06 inference(unit_resolution,[status(thm)],[5624, 5623, 5520])).
% 7.11/5.06 tff(5626,plain,
% 7.11/5.06 (((~v90(constB29, bitIndex2)) <=> v90(constB28, bitIndex2)) | (~v90(constB29, bitIndex2)) | v90(constB28, bitIndex2)),
% 7.11/5.06 inference(tautology,[status(thm)],[])).
% 7.11/5.06 tff(5627,plain,
% 7.11/5.06 (~v90(constB29, bitIndex2)),
% 7.11/5.06 inference(unit_resolution,[status(thm)],[5626, 5625, 2281])).
% 7.11/5.06 tff(5628,plain,
% 7.11/5.06 ((((~v90(constB29, bitIndex1)) <=> v90(constB28, bitIndex1)) | ((~v90(constB29, bitIndex2)) <=> v90(constB28, bitIndex2)) | ((~v90(constB29, bitIndex0)) <=> v90(constB28, bitIndex0))) | (~((~v90(constB29, bitIndex0)) <=> v90(constB28, bitIndex0)))),
% 7.11/5.06 inference(tautology,[status(thm)],[])).
% 7.11/5.06 tff(5629,plain,
% 7.11/5.06 (~((~v90(constB29, bitIndex0)) <=> v90(constB28, bitIndex0))),
% 7.11/5.06 inference(unit_resolution,[status(thm)],[5628, 2279])).
% 7.11/5.06 tff(5630,plain,
% 7.11/5.06 ((((~v129(constB28, bitIndex2)) <=> v127(constB27, bitIndex2)) | ((~v129(constB28, bitIndex1)) <=> v127(constB27, bitIndex1)) | ((~v129(constB28, bitIndex0)) <=> v127(constB27, bitIndex0))) | (~((~v129(constB28, bitIndex0)) <=> v127(constB27, bitIndex0)))),
% 7.11/5.06 inference(tautology,[status(thm)],[])).
% 7.11/5.06 tff(5631,plain,
% 7.11/5.06 (~((~v129(constB28, bitIndex0)) <=> v127(constB27, bitIndex0))),
% 7.11/5.06 inference(unit_resolution,[status(thm)],[5630, 2288])).
% 7.11/5.06 tff(5632,plain,
% 7.11/5.06 ((((~v127(constB27, bitIndex2)) <=> v130(constB27, bitIndex2)) | ((~v127(constB27, bitIndex1)) <=> v130(constB27, bitIndex1)) | ((~v127(constB27, bitIndex0)) <=> v130(constB27, bitIndex0))) | (~((~v127(constB27, bitIndex0)) <=> v130(constB27, bitIndex0)))),
% 7.11/5.06 inference(tautology,[status(thm)],[])).
% 7.11/5.06 tff(5633,plain,
% 7.11/5.06 (~((~v127(constB27, bitIndex0)) <=> v130(constB27, bitIndex0))),
% 7.11/5.06 inference(unit_resolution,[status(thm)],[5632, 2302])).
% 7.11/5.06 tff(5634,plain,
% 7.11/5.06 ((v130(constB27, bitIndex2) | v130(constB27, bitIndex0) | (~v130(constB27, bitIndex1))) | (~v130(constB27, bitIndex0))),
% 7.11/5.06 inference(tautology,[status(thm)],[])).
% 7.11/5.06 tff(5635,plain,
% 7.11/5.06 (~v130(constB27, bitIndex0)),
% 7.11/5.06 inference(unit_resolution,[status(thm)],[5634, 5514])).
% 7.11/5.06 tff(5636,plain,
% 7.11/5.06 (((~v127(constB27, bitIndex0)) <=> v130(constB27, bitIndex0)) | (~v127(constB27, bitIndex0)) | v130(constB27, bitIndex0)),
% 7.11/5.06 inference(tautology,[status(thm)],[])).
% 7.11/5.06 tff(5637,plain,
% 7.11/5.06 (~v127(constB27, bitIndex0)),
% 7.11/5.06 inference(unit_resolution,[status(thm)],[5636, 5635, 5633])).
% 7.11/5.06 tff(5638,plain,
% 7.11/5.06 (((~v129(constB28, bitIndex0)) <=> v127(constB27, bitIndex0)) | (~v129(constB28, bitIndex0)) | v127(constB27, bitIndex0)),
% 7.11/5.06 inference(tautology,[status(thm)],[])).
% 7.11/5.06 tff(5639,plain,
% 7.11/5.06 (~v129(constB28, bitIndex0)),
% 7.11/5.06 inference(unit_resolution,[status(thm)],[5638, 5637, 5631])).
% 7.11/5.06 tff(5640,plain,
% 7.11/5.06 ((((~v90(constB28, bitIndex2)) <=> v129(constB28, bitIndex2)) | ((~v90(constB28, bitIndex1)) <=> v129(constB28, bitIndex1)) | ((~v90(constB28, bitIndex0)) <=> v129(constB28, bitIndex0))) | (~((~v90(constB28, bitIndex0)) <=> v129(constB28, bitIndex0)))),
% 7.11/5.06 inference(tautology,[status(thm)],[])).
% 7.11/5.06 tff(5641,plain,
% 7.11/5.06 (~((~v90(constB28, bitIndex0)) <=> v129(constB28, bitIndex0))),
% 7.11/5.06 inference(unit_resolution,[status(thm)],[5640, 5621])).
% 7.11/5.06 tff(5642,plain,
% 7.11/5.06 (((~v90(constB28, bitIndex0)) <=> v129(constB28, bitIndex0)) | (~v90(constB28, bitIndex0)) | v129(constB28, bitIndex0)),
% 7.11/5.06 inference(tautology,[status(thm)],[])).
% 7.11/5.06 tff(5643,plain,
% 7.11/5.06 (~v90(constB28, bitIndex0)),
% 7.11/5.06 inference(unit_resolution,[status(thm)],[5642, 5641, 5639])).
% 7.11/5.06 tff(5644,plain,
% 7.11/5.06 (((~v90(constB29, bitIndex0)) <=> v90(constB28, bitIndex0)) | (~v90(constB29, bitIndex0)) | v90(constB28, bitIndex0)),
% 7.11/5.06 inference(tautology,[status(thm)],[])).
% 7.11/5.06 tff(5645,plain,
% 7.11/5.06 (~v90(constB29, bitIndex0)),
% 7.11/5.06 inference(unit_resolution,[status(thm)],[5644, 5643, 5629])).
% 7.11/5.06 tff(5646,plain,
% 7.11/5.06 ((((~v90(constB29, bitIndex1)) <=> v90(constB28, bitIndex1)) | ((~v90(constB29, bitIndex2)) <=> v90(constB28, bitIndex2)) | ((~v90(constB29, bitIndex0)) <=> v90(constB28, bitIndex0))) | (~((~v90(constB29, bitIndex1)) <=> v90(constB28, bitIndex1)))),
% 7.11/5.06 inference(tautology,[status(thm)],[])).
% 7.11/5.06 tff(5647,plain,
% 7.11/5.06 (~((~v90(constB29, bitIndex1)) <=> v90(constB28, bitIndex1))),
% 7.11/5.06 inference(unit_resolution,[status(thm)],[5646, 2279])).
% 7.11/5.06 tff(5648,plain,
% 7.11/5.06 ((((~v129(constB28, bitIndex2)) <=> v127(constB27, bitIndex2)) | ((~v129(constB28, bitIndex1)) <=> v127(constB27, bitIndex1)) | ((~v129(constB28, bitIndex0)) <=> v127(constB27, bitIndex0))) | (~((~v129(constB28, bitIndex1)) <=> v127(constB27, bitIndex1)))),
% 7.11/5.06 inference(tautology,[status(thm)],[])).
% 7.11/5.06 tff(5649,plain,
% 7.11/5.06 (~((~v129(constB28, bitIndex1)) <=> v127(constB27, bitIndex1))),
% 7.11/5.06 inference(unit_resolution,[status(thm)],[5648, 2288])).
% 7.11/5.06 tff(5650,plain,
% 7.11/5.06 ((((~v127(constB27, bitIndex2)) <=> v130(constB27, bitIndex2)) | ((~v127(constB27, bitIndex1)) <=> v130(constB27, bitIndex1)) | ((~v127(constB27, bitIndex0)) <=> v130(constB27, bitIndex0))) | (~((~v127(constB27, bitIndex1)) <=> v130(constB27, bitIndex1)))),
% 7.11/5.06 inference(tautology,[status(thm)],[])).
% 7.11/5.06 tff(5651,plain,
% 7.11/5.06 (~((~v127(constB27, bitIndex1)) <=> v130(constB27, bitIndex1))),
% 7.11/5.06 inference(unit_resolution,[status(thm)],[5650, 2302])).
% 7.11/5.06 tff(5652,plain,
% 7.11/5.06 ((v130(constB27, bitIndex2) | v130(constB27, bitIndex0) | (~v130(constB27, bitIndex1))) | v130(constB27, bitIndex1)),
% 7.11/5.06 inference(tautology,[status(thm)],[])).
% 7.11/5.06 tff(5653,plain,
% 7.11/5.06 (v130(constB27, bitIndex1)),
% 7.11/5.06 inference(unit_resolution,[status(thm)],[5652, 5514])).
% 7.11/5.06 tff(5654,plain,
% 7.11/5.06 (((~v127(constB27, bitIndex1)) <=> v130(constB27, bitIndex1)) | v127(constB27, bitIndex1) | (~v130(constB27, bitIndex1))),
% 7.11/5.06 inference(tautology,[status(thm)],[])).
% 7.11/5.06 tff(5655,plain,
% 7.11/5.06 (v127(constB27, bitIndex1)),
% 7.11/5.06 inference(unit_resolution,[status(thm)],[5654, 5653, 5651])).
% 7.11/5.06 tff(5656,plain,
% 7.11/5.06 (((~v129(constB28, bitIndex1)) <=> v127(constB27, bitIndex1)) | v129(constB28, bitIndex1) | (~v127(constB27, bitIndex1))),
% 7.11/5.06 inference(tautology,[status(thm)],[])).
% 7.11/5.06 tff(5657,plain,
% 7.11/5.06 (v129(constB28, bitIndex1)),
% 7.11/5.06 inference(unit_resolution,[status(thm)],[5656, 5655, 5649])).
% 7.11/5.06 tff(5658,plain,
% 7.11/5.06 ((((~v90(constB28, bitIndex2)) <=> v129(constB28, bitIndex2)) | ((~v90(constB28, bitIndex1)) <=> v129(constB28, bitIndex1)) | ((~v90(constB28, bitIndex0)) <=> v129(constB28, bitIndex0))) | (~((~v90(constB28, bitIndex1)) <=> v129(constB28, bitIndex1)))),
% 7.11/5.06 inference(tautology,[status(thm)],[])).
% 7.11/5.06 tff(5659,plain,
% 7.11/5.06 (~((~v90(constB28, bitIndex1)) <=> v129(constB28, bitIndex1))),
% 7.11/5.06 inference(unit_resolution,[status(thm)],[5658, 5621])).
% 7.11/5.06 tff(5660,plain,
% 7.11/5.06 (((~v90(constB28, bitIndex1)) <=> v129(constB28, bitIndex1)) | v90(constB28, bitIndex1) | (~v129(constB28, bitIndex1))),
% 7.11/5.06 inference(tautology,[status(thm)],[])).
% 7.11/5.06 tff(5661,plain,
% 7.11/5.06 (v90(constB28, bitIndex1)),
% 7.11/5.06 inference(unit_resolution,[status(thm)],[5660, 5659, 5657])).
% 7.11/5.06 tff(5662,plain,
% 7.11/5.06 (((~v90(constB29, bitIndex1)) <=> v90(constB28, bitIndex1)) | v90(constB29, bitIndex1) | (~v90(constB28, bitIndex1))),
% 7.11/5.06 inference(tautology,[status(thm)],[])).
% 7.11/5.06 tff(5663,plain,
% 7.11/5.06 (v90(constB29, bitIndex1)),
% 7.11/5.06 inference(unit_resolution,[status(thm)],[5662, 5661, 5647])).
% 7.11/5.06 tff(5664,plain,
% 7.11/5.06 ((~(v90(constB29, bitIndex2) | v90(constB29, bitIndex0) | (~v90(constB29, bitIndex1)))) | v90(constB29, bitIndex2) | v90(constB29, bitIndex0) | (~v90(constB29, bitIndex1))),
% 7.11/5.06 inference(tautology,[status(thm)],[])).
% 7.11/5.06 tff(5665,plain,
% 7.11/5.06 (~(v90(constB29, bitIndex2) | v90(constB29, bitIndex0) | (~v90(constB29, bitIndex1)))),
% 7.11/5.06 inference(unit_resolution,[status(thm)],[5664, 5663, 5645, 5627])).
% 7.11/5.06 tff(5666,plain,
% 7.11/5.06 ((~(v121(constB29) <=> (~(v90(constB29, bitIndex2) | v90(constB29, bitIndex0) | (~v90(constB29, bitIndex1)))))) | v121(constB29) | (v90(constB29, bitIndex2) | v90(constB29, bitIndex0) | (~v90(constB29, bitIndex1)))),
% 7.11/5.06 inference(tautology,[status(thm)],[])).
% 7.11/5.06 tff(5667,plain,
% 7.11/5.06 (v121(constB29)),
% 7.11/5.06 inference(unit_resolution,[status(thm)],[5666, 5665, 2245])).
% 7.11/5.06 tff(5668,plain,
% 7.11/5.06 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB29)) | (~(v130(constB29, bitIndex2) | (~v130(constB29, bitIndex1)) | (~v130(constB29, bitIndex0)))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | (~v121(constB29)) | (~(v130(constB29, bitIndex2) | (~v130(constB29, bitIndex1)) | (~v130(constB29, bitIndex0)))))),
% 7.11/5.07 inference(rewrite,[status(thm)],[])).
% 7.11/5.07 tff(5669,plain,
% 7.11/5.07 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB29)) | (~(v130(constB29, bitIndex2) | (~v130(constB29, bitIndex1)) | (~v130(constB29, bitIndex0)))))),
% 7.11/5.07 inference(quant_inst,[status(thm)],[])).
% 7.11/5.07 tff(5670,plain,
% 7.11/5.07 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | (~v121(constB29)) | (~(v130(constB29, bitIndex2) | (~v130(constB29, bitIndex1)) | (~v130(constB29, bitIndex0))))),
% 7.11/5.07 inference(modus_ponens,[status(thm)],[5669, 5668])).
% 7.11/5.07 tff(5671,plain,
% 7.11/5.07 ((~v121(constB29)) | (~(v130(constB29, bitIndex2) | (~v130(constB29, bitIndex1)) | (~v130(constB29, bitIndex0))))),
% 7.11/5.07 inference(unit_resolution,[status(thm)],[5670, 4055])).
% 7.11/5.07 tff(5672,plain,
% 7.11/5.07 (~(v130(constB29, bitIndex2) | (~v130(constB29, bitIndex1)) | (~v130(constB29, bitIndex0)))),
% 7.11/5.07 inference(unit_resolution,[status(thm)],[5671, 5667])).
% 7.11/5.07 tff(5673,plain,
% 7.11/5.07 ((v130(constB29, bitIndex2) | (~v130(constB29, bitIndex1)) | (~v130(constB29, bitIndex0))) | (~v130(constB29, bitIndex2))),
% 7.11/5.07 inference(tautology,[status(thm)],[])).
% 7.11/5.07 tff(5674,plain,
% 7.11/5.07 (~v130(constB29, bitIndex2)),
% 7.11/5.07 inference(unit_resolution,[status(thm)],[5673, 5672])).
% 7.11/5.07 tff(5675,plain,
% 7.11/5.07 (((~v127(constB29, bitIndex2)) <=> v130(constB29, bitIndex2)) | (~v127(constB29, bitIndex2)) | v130(constB29, bitIndex2)),
% 7.11/5.07 inference(tautology,[status(thm)],[])).
% 7.11/5.07 tff(5676,plain,
% 7.11/5.07 (~v127(constB29, bitIndex2)),
% 7.11/5.07 inference(unit_resolution,[status(thm)],[5675, 5674, 2238])).
% 7.11/5.07 tff(5677,plain,
% 7.11/5.07 (((~v129(constB30, bitIndex2)) <=> v127(constB29, bitIndex2)) | (~v129(constB30, bitIndex2)) | v127(constB29, bitIndex2)),
% 7.11/5.07 inference(tautology,[status(thm)],[])).
% 7.11/5.07 tff(5678,plain,
% 7.11/5.07 (~v129(constB30, bitIndex2)),
% 7.11/5.07 inference(unit_resolution,[status(thm)],[5677, 5676, 2224])).
% 7.11/5.07 tff(5679,plain,
% 7.11/5.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB29, constB30)) | (v100(constB30) <=> (~((~v101(constB30)) | (~v110(constB30))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB29, constB30)) | (v100(constB30) <=> (~((~v101(constB30)) | (~v110(constB30))))))),
% 7.11/5.07 inference(rewrite,[status(thm)],[])).
% 7.11/5.07 tff(5680,plain,
% 7.11/5.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB29, constB30)) | (v100(constB30) <=> (~((~v101(constB30)) | (~v110(constB30))))))),
% 7.11/5.07 inference(quant_inst,[status(thm)],[])).
% 7.11/5.07 tff(5681,plain,
% 7.11/5.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB29, constB30)) | (v100(constB30) <=> (~((~v101(constB30)) | (~v110(constB30)))))),
% 7.11/5.07 inference(modus_ponens,[status(thm)],[5680, 5679])).
% 7.11/5.07 tff(5682,plain,
% 7.11/5.07 (v100(constB30) <=> (~((~v101(constB30)) | (~v110(constB30))))),
% 7.11/5.07 inference(unit_resolution,[status(thm)],[5681, 2218, 445])).
% 7.11/5.07 tff(5683,plain,
% 7.11/5.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB29, constB30)) | (v101(constB30) <=> (~((~v1(constB30)) | (~v102(constB30))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB29, constB30)) | (v101(constB30) <=> (~((~v1(constB30)) | (~v102(constB30))))))),
% 7.11/5.07 inference(rewrite,[status(thm)],[])).
% 7.11/5.07 tff(5684,plain,
% 7.11/5.07 (((~nextState(constB29, constB30)) | (v101(constB30) <=> (~((~v102(constB30)) | (~v1(constB30)))))) <=> ((~nextState(constB29, constB30)) | (v101(constB30) <=> (~((~v1(constB30)) | (~v102(constB30))))))),
% 7.11/5.07 inference(rewrite,[status(thm)],[])).
% 7.11/5.07 tff(5685,plain,
% 7.11/5.07 (((~![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) <=> (~((~v1(constB30)) | (~v102(constB30)))))))),
% 7.11/5.07 inference(monotonicity,[status(thm)],[5684])).
% 7.11/5.07 tff(5686,plain,
% 7.11/5.07 (((~![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) <=> (~((~v1(constB30)) | (~v102(constB30))))))),
% 7.11/5.07 inference(transitivity,[status(thm)],[5685, 5683])).
% 7.11/5.07 tff(5687,plain,
% 7.11/5.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB29, constB30)) | (v101(constB30) <=> (~((~v102(constB30)) | (~v1(constB30))))))),
% 7.11/5.07 inference(quant_inst,[status(thm)],[])).
% 7.11/5.07 tff(5688,plain,
% 7.11/5.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB29, constB30)) | (v101(constB30) <=> (~((~v1(constB30)) | (~v102(constB30)))))),
% 7.11/5.07 inference(modus_ponens,[status(thm)],[5687, 5686])).
% 7.11/5.07 tff(5689,plain,
% 7.11/5.07 (v101(constB30) <=> (~((~v1(constB30)) | (~v102(constB30))))),
% 7.11/5.07 inference(unit_resolution,[status(thm)],[5688, 2218, 465])).
% 7.11/5.07 tff(5690,plain,
% 7.11/5.07 (((~![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)))),
% 7.11/5.07 inference(rewrite,[status(thm)],[])).
% 7.11/5.07 tff(5691,plain,
% 7.11/5.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB29, constB30)) | ((~v102(constB30)) <=> v104(constB30)))),
% 7.11/5.07 inference(quant_inst,[status(thm)],[])).
% 7.11/5.07 tff(5692,plain,
% 7.11/5.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB29, constB30)) | ((~v102(constB30)) <=> v104(constB30))),
% 7.11/5.07 inference(modus_ponens,[status(thm)],[5691, 5690])).
% 7.11/5.07 tff(5693,plain,
% 7.11/5.07 ((~v102(constB30)) <=> v104(constB30)),
% 7.11/5.07 inference(unit_resolution,[status(thm)],[5692, 2218, 3244])).
% 7.11/5.07 tff(5694,plain,
% 7.11/5.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB29, constB30)) | (v104(constB30) <=> v1(constB29)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB29, constB30)) | (v104(constB30) <=> v1(constB29)))),
% 7.11/5.07 inference(rewrite,[status(thm)],[])).
% 7.11/5.07 tff(5695,plain,
% 7.11/5.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB29, constB30)) | (v104(constB30) <=> v1(constB29)))),
% 7.11/5.07 inference(quant_inst,[status(thm)],[])).
% 7.11/5.07 tff(5696,plain,
% 7.11/5.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB29, constB30)) | (v104(constB30) <=> v1(constB29))),
% 7.11/5.07 inference(modus_ponens,[status(thm)],[5695, 5694])).
% 7.11/5.07 tff(5697,plain,
% 7.11/5.07 (v104(constB30) <=> v1(constB29)),
% 7.11/5.07 inference(unit_resolution,[status(thm)],[5696, 2218, 3258])).
% 7.11/5.07 tff(5698,plain,
% 7.11/5.07 ((~(v104(constB30) <=> v1(constB29))) | (~v104(constB30)) | v1(constB29)),
% 7.11/5.07 inference(tautology,[status(thm)],[])).
% 7.11/5.07 tff(5699,plain,
% 7.11/5.07 ((~(v104(constB30) <=> v1(constB29))) | (~v104(constB30))),
% 7.11/5.07 inference(unit_resolution,[status(thm)],[5698, 2262])).
% 7.11/5.07 tff(5700,plain,
% 7.11/5.07 (~v104(constB30)),
% 7.11/5.07 inference(unit_resolution,[status(thm)],[5699, 5697])).
% 7.11/5.07 tff(5701,plain,
% 7.11/5.07 ((~((~v102(constB30)) <=> v104(constB30))) | v102(constB30) | v104(constB30)),
% 7.11/5.07 inference(tautology,[status(thm)],[])).
% 7.11/5.07 tff(5702,plain,
% 7.11/5.07 (v102(constB30)),
% 7.11/5.07 inference(unit_resolution,[status(thm)],[5701, 5700, 5693])).
% 7.11/5.07 tff(5703,plain,
% 7.11/5.07 (v1(constB30) <=> v1(constB30)),
% 7.11/5.07 inference(rewrite,[status(thm)],[])).
% 7.11/5.07 tff(5704,axiom,(v1(constB30)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_30')).
% 7.11/5.07 tff(5705,plain,
% 7.11/5.07 (v1(constB30)),
% 7.11/5.07 inference(modus_ponens,[status(thm)],[5704, 5703])).
% 7.11/5.07 tff(5706,plain,
% 7.11/5.07 ((~((~v1(constB30)) | (~v102(constB30)))) | (~v1(constB30)) | (~v102(constB30))),
% 7.11/5.07 inference(tautology,[status(thm)],[])).
% 7.11/5.07 tff(5707,plain,
% 7.11/5.07 ((~((~v1(constB30)) | (~v102(constB30)))) | (~v102(constB30))),
% 7.11/5.07 inference(unit_resolution,[status(thm)],[5706, 5705])).
% 7.11/5.07 tff(5708,plain,
% 7.11/5.07 (~((~v1(constB30)) | (~v102(constB30)))),
% 7.11/5.07 inference(unit_resolution,[status(thm)],[5707, 5702])).
% 7.11/5.07 tff(5709,plain,
% 7.11/5.07 ((~(v101(constB30) <=> (~((~v1(constB30)) | (~v102(constB30)))))) | v101(constB30) | ((~v1(constB30)) | (~v102(constB30)))),
% 7.11/5.07 inference(tautology,[status(thm)],[])).
% 7.11/5.07 tff(5710,plain,
% 7.11/5.07 (v101(constB30)),
% 7.11/5.07 inference(unit_resolution,[status(thm)],[5709, 5708, 5689])).
% 7.11/5.07 tff(5711,plain,
% 7.11/5.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB29, constB30)) | (v110(constB30) <=> v108(constB29)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB29, constB30)) | (v110(constB30) <=> v108(constB29)))),
% 7.11/5.07 inference(rewrite,[status(thm)],[])).
% 7.11/5.07 tff(5712,plain,
% 7.11/5.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB29, constB30)) | (v110(constB30) <=> v108(constB29)))),
% 7.11/5.07 inference(quant_inst,[status(thm)],[])).
% 7.11/5.07 tff(5713,plain,
% 7.11/5.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB29, constB30)) | (v110(constB30) <=> v108(constB29))),
% 7.11/5.07 inference(modus_ponens,[status(thm)],[5712, 5711])).
% 7.11/5.07 tff(5714,plain,
% 7.11/5.07 (v110(constB30) <=> v108(constB29)),
% 7.11/5.07 inference(unit_resolution,[status(thm)],[5713, 2218, 3285])).
% 7.11/5.07 tff(5715,plain,
% 7.11/5.07 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB29) <=> (v111(constB29) | v112(constB29)))),
% 7.11/5.07 inference(quant_inst,[status(thm)],[])).
% 7.11/5.07 tff(5716,plain,
% 7.11/5.07 (v108(constB29) <=> (v111(constB29) | v112(constB29))),
% 7.11/5.07 inference(unit_resolution,[status(thm)],[5715, 3296])).
% 7.11/5.07 tff(5717,plain,
% 7.11/5.07 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB29) <=> (~((~v113(constB29)) | (~v126(constB29)))))),
% 7.11/5.07 inference(quant_inst,[status(thm)],[])).
% 7.11/5.07 tff(5718,plain,
% 7.11/5.07 (v112(constB29) <=> (~((~v113(constB29)) | (~v126(constB29))))),
% 7.11/5.07 inference(unit_resolution,[status(thm)],[5717, 3308])).
% 7.11/5.07 tff(5719,plain,
% 7.11/5.07 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB29) <=> (v114(constB29) | v125(constB29)))),
% 7.11/5.07 inference(quant_inst,[status(thm)],[])).
% 7.11/5.07 tff(5720,plain,
% 7.11/5.07 (v113(constB29) <=> (v114(constB29) | v125(constB29))),
% 7.11/5.07 inference(unit_resolution,[status(thm)],[5719, 3317])).
% 7.11/5.07 tff(5721,plain,
% 7.11/5.07 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB29) <=> (v115(constB29) | v124(constB29)))),
% 7.11/5.07 inference(quant_inst,[status(thm)],[])).
% 7.11/5.07 tff(5722,plain,
% 7.11/5.07 (v114(constB29) <=> (v115(constB29) | v124(constB29))),
% 7.11/5.07 inference(unit_resolution,[status(thm)],[5721, 3326])).
% 7.11/5.07 tff(5723,plain,
% 7.11/5.07 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB29) <=> (v116(constB29) | v123(constB29)))),
% 7.11/5.07 inference(quant_inst,[status(thm)],[])).
% 7.11/5.07 tff(5724,plain,
% 7.11/5.07 (v115(constB29) <=> (v116(constB29) | v123(constB29))),
% 7.11/5.07 inference(unit_resolution,[status(thm)],[5723, 3335])).
% 7.11/5.07 tff(5725,plain,
% 7.11/5.07 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB29) <=> (v117(constB29) | v122(constB29)))),
% 7.11/5.07 inference(quant_inst,[status(thm)],[])).
% 7.11/5.07 tff(5726,plain,
% 7.11/5.07 (v116(constB29) <=> (v117(constB29) | v122(constB29))),
% 7.11/5.07 inference(unit_resolution,[status(thm)],[5725, 3344])).
% 7.11/5.07 tff(5727,plain,
% 7.11/5.07 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB29) <=> (v118(constB29) | v121(constB29)))),
% 7.11/5.07 inference(quant_inst,[status(thm)],[])).
% 7.11/5.07 tff(5728,plain,
% 7.11/5.07 (v117(constB29) <=> (v118(constB29) | v121(constB29))),
% 7.11/5.07 inference(unit_resolution,[status(thm)],[5727, 3353])).
% 7.11/5.07 tff(5729,plain,
% 7.11/5.07 ((v118(constB29) | v121(constB29)) | (~v121(constB29))),
% 7.11/5.07 inference(tautology,[status(thm)],[])).
% 7.11/5.07 tff(5730,plain,
% 7.11/5.07 (v118(constB29) | v121(constB29)),
% 7.11/5.07 inference(unit_resolution,[status(thm)],[5729, 5667])).
% 7.11/5.07 tff(5731,plain,
% 7.11/5.07 ((~(v117(constB29) <=> (v118(constB29) | v121(constB29)))) | v117(constB29) | (~(v118(constB29) | v121(constB29)))),
% 7.11/5.07 inference(tautology,[status(thm)],[])).
% 7.11/5.07 tff(5732,plain,
% 7.11/5.07 (v117(constB29)),
% 7.11/5.07 inference(unit_resolution,[status(thm)],[5731, 5730, 5728])).
% 7.11/5.07 tff(5733,plain,
% 7.11/5.07 ((v117(constB29) | v122(constB29)) | (~v117(constB29))),
% 7.11/5.07 inference(tautology,[status(thm)],[])).
% 7.11/5.07 tff(5734,plain,
% 7.11/5.07 (v117(constB29) | v122(constB29)),
% 7.11/5.07 inference(unit_resolution,[status(thm)],[5733, 5732])).
% 7.11/5.07 tff(5735,plain,
% 7.11/5.07 ((~(v116(constB29) <=> (v117(constB29) | v122(constB29)))) | v116(constB29) | (~(v117(constB29) | v122(constB29)))),
% 7.11/5.07 inference(tautology,[status(thm)],[])).
% 7.11/5.07 tff(5736,plain,
% 7.11/5.07 (v116(constB29)),
% 7.11/5.07 inference(unit_resolution,[status(thm)],[5735, 5734, 5726])).
% 7.11/5.07 tff(5737,plain,
% 7.11/5.07 ((v116(constB29) | v123(constB29)) | (~v116(constB29))),
% 7.11/5.07 inference(tautology,[status(thm)],[])).
% 7.11/5.07 tff(5738,plain,
% 7.11/5.07 (v116(constB29) | v123(constB29)),
% 7.11/5.07 inference(unit_resolution,[status(thm)],[5737, 5736])).
% 7.11/5.07 tff(5739,plain,
% 7.11/5.07 ((~(v115(constB29) <=> (v116(constB29) | v123(constB29)))) | v115(constB29) | (~(v116(constB29) | v123(constB29)))),
% 7.11/5.07 inference(tautology,[status(thm)],[])).
% 7.11/5.07 tff(5740,plain,
% 7.11/5.07 (v115(constB29)),
% 7.11/5.07 inference(unit_resolution,[status(thm)],[5739, 5738, 5724])).
% 7.11/5.07 tff(5741,plain,
% 7.11/5.07 ((v115(constB29) | v124(constB29)) | (~v115(constB29))),
% 7.11/5.07 inference(tautology,[status(thm)],[])).
% 7.11/5.07 tff(5742,plain,
% 7.11/5.07 (v115(constB29) | v124(constB29)),
% 7.11/5.07 inference(unit_resolution,[status(thm)],[5741, 5740])).
% 7.11/5.07 tff(5743,plain,
% 7.11/5.07 ((~(v114(constB29) <=> (v115(constB29) | v124(constB29)))) | v114(constB29) | (~(v115(constB29) | v124(constB29)))),
% 7.11/5.07 inference(tautology,[status(thm)],[])).
% 7.11/5.07 tff(5744,plain,
% 7.11/5.07 (v114(constB29)),
% 7.11/5.07 inference(unit_resolution,[status(thm)],[5743, 5742, 5722])).
% 7.11/5.07 tff(5745,plain,
% 7.11/5.07 ((v114(constB29) | v125(constB29)) | (~v114(constB29))),
% 7.11/5.07 inference(tautology,[status(thm)],[])).
% 7.11/5.07 tff(5746,plain,
% 7.11/5.07 (v114(constB29) | v125(constB29)),
% 7.11/5.07 inference(unit_resolution,[status(thm)],[5745, 5744])).
% 7.11/5.07 tff(5747,plain,
% 7.11/5.07 ((~(v113(constB29) <=> (v114(constB29) | v125(constB29)))) | v113(constB29) | (~(v114(constB29) | v125(constB29)))),
% 7.11/5.07 inference(tautology,[status(thm)],[])).
% 7.11/5.07 tff(5748,plain,
% 7.11/5.07 (v113(constB29)),
% 7.11/5.07 inference(unit_resolution,[status(thm)],[5747, 5746, 5720])).
% 7.11/5.07 tff(5749,plain,
% 7.11/5.07 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB29)) <=> v111(constB29))),
% 7.11/5.07 inference(quant_inst,[status(thm)],[])).
% 7.11/5.07 tff(5750,plain,
% 7.11/5.07 ((~v126(constB29)) <=> v111(constB29)),
% 7.11/5.07 inference(unit_resolution,[status(thm)],[5749, 3396])).
% 7.11/5.07 tff(5751,plain,
% 7.11/5.07 ((~((~v126(constB29)) <=> v111(constB29))) | v126(constB29) | v111(constB29)),
% 7.11/5.07 inference(tautology,[status(thm)],[])).
% 7.11/5.07 tff(5752,plain,
% 7.11/5.07 ((~((~v126(constB29)) <=> v111(constB29))) | v126(constB29)),
% 7.11/5.07 inference(unit_resolution,[status(thm)],[5751, 2231])).
% 7.11/5.07 tff(5753,plain,
% 7.11/5.07 (v126(constB29)),
% 7.11/5.07 inference(unit_resolution,[status(thm)],[5752, 5750])).
% 7.11/5.07 tff(5754,plain,
% 7.11/5.07 ((~((~v113(constB29)) | (~v126(constB29)))) | (~v113(constB29)) | (~v126(constB29))),
% 7.11/5.07 inference(tautology,[status(thm)],[])).
% 7.11/5.07 tff(5755,plain,
% 7.11/5.07 ((~((~v113(constB29)) | (~v126(constB29)))) | (~v113(constB29))),
% 7.11/5.07 inference(unit_resolution,[status(thm)],[5754, 5753])).
% 7.11/5.07 tff(5756,plain,
% 7.11/5.07 (~((~v113(constB29)) | (~v126(constB29)))),
% 7.11/5.07 inference(unit_resolution,[status(thm)],[5755, 5748])).
% 7.11/5.07 tff(5757,plain,
% 7.11/5.07 ((~(v112(constB29) <=> (~((~v113(constB29)) | (~v126(constB29)))))) | v112(constB29) | ((~v113(constB29)) | (~v126(constB29)))),
% 7.11/5.07 inference(tautology,[status(thm)],[])).
% 7.11/5.07 tff(5758,plain,
% 7.11/5.07 (v112(constB29)),
% 7.11/5.07 inference(unit_resolution,[status(thm)],[5757, 5756, 5718])).
% 7.11/5.07 tff(5759,plain,
% 7.11/5.07 ((v111(constB29) | v112(constB29)) | (~v112(constB29))),
% 7.11/5.07 inference(tautology,[status(thm)],[])).
% 7.11/5.07 tff(5760,plain,
% 7.11/5.07 (v111(constB29) | v112(constB29)),
% 7.11/5.07 inference(unit_resolution,[status(thm)],[5759, 5758])).
% 7.11/5.07 tff(5761,plain,
% 7.11/5.07 ((~(v108(constB29) <=> (v111(constB29) | v112(constB29)))) | v108(constB29) | (~(v111(constB29) | v112(constB29)))),
% 7.11/5.07 inference(tautology,[status(thm)],[])).
% 7.11/5.07 tff(5762,plain,
% 7.11/5.07 (v108(constB29)),
% 7.11/5.07 inference(unit_resolution,[status(thm)],[5761, 5760, 5716])).
% 7.11/5.07 tff(5763,plain,
% 7.11/5.07 ((~(v110(constB30) <=> v108(constB29))) | v110(constB30) | (~v108(constB29))),
% 7.11/5.07 inference(tautology,[status(thm)],[])).
% 7.11/5.07 tff(5764,plain,
% 7.11/5.07 (v110(constB30)),
% 7.11/5.07 inference(unit_resolution,[status(thm)],[5763, 5762, 5714])).
% 7.11/5.07 tff(5765,plain,
% 7.11/5.07 ((~((~v101(constB30)) | (~v110(constB30)))) | (~v101(constB30)) | (~v110(constB30))),
% 7.11/5.07 inference(tautology,[status(thm)],[])).
% 7.11/5.07 tff(5766,plain,
% 7.11/5.07 (~((~v101(constB30)) | (~v110(constB30)))),
% 7.11/5.07 inference(unit_resolution,[status(thm)],[5765, 5764, 5710])).
% 7.11/5.07 tff(5767,plain,
% 7.11/5.07 ((~(v100(constB30) <=> (~((~v101(constB30)) | (~v110(constB30)))))) | v100(constB30) | ((~v101(constB30)) | (~v110(constB30)))),
% 7.11/5.07 inference(tautology,[status(thm)],[])).
% 7.11/5.07 tff(5768,plain,
% 7.11/5.07 (v100(constB30)),
% 7.11/5.07 inference(unit_resolution,[status(thm)],[5767, 5766, 5682])).
% 7.11/5.07 tff(5769,plain,
% 7.11/5.07 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB30)) | (~(((~v90(constB30, bitIndex0)) <=> v129(constB30, bitIndex0)) | ((~v90(constB30, bitIndex2)) <=> v129(constB30, bitIndex2)) | ((~v90(constB30, bitIndex1)) <=> v129(constB30, bitIndex1)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB30)) | (~(((~v90(constB30, bitIndex0)) <=> v129(constB30, bitIndex0)) | ((~v90(constB30, bitIndex2)) <=> v129(constB30, bitIndex2)) | ((~v90(constB30, bitIndex1)) <=> v129(constB30, bitIndex1)))))),
% 7.11/5.07 inference(rewrite,[status(thm)],[])).
% 7.11/5.07 tff(5770,plain,
% 7.11/5.07 (((~v100(constB30)) | (~(((~v90(constB30, bitIndex2)) <=> v129(constB30, bitIndex2)) | ((~v90(constB30, bitIndex1)) <=> v129(constB30, bitIndex1)) | ((~v90(constB30, bitIndex0)) <=> v129(constB30, bitIndex0))))) <=> ((~v100(constB30)) | (~(((~v90(constB30, bitIndex0)) <=> v129(constB30, bitIndex0)) | ((~v90(constB30, bitIndex2)) <=> v129(constB30, bitIndex2)) | ((~v90(constB30, bitIndex1)) <=> v129(constB30, bitIndex1)))))),
% 7.11/5.07 inference(rewrite,[status(thm)],[])).
% 7.11/5.07 tff(5771,plain,
% 7.11/5.07 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB30)) | (~(((~v90(constB30, bitIndex2)) <=> v129(constB30, bitIndex2)) | ((~v90(constB30, bitIndex1)) <=> v129(constB30, bitIndex1)) | ((~v90(constB30, bitIndex0)) <=> v129(constB30, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB30)) | (~(((~v90(constB30, bitIndex0)) <=> v129(constB30, bitIndex0)) | ((~v90(constB30, bitIndex2)) <=> v129(constB30, bitIndex2)) | ((~v90(constB30, bitIndex1)) <=> v129(constB30, bitIndex1))))))),
% 7.11/5.07 inference(monotonicity,[status(thm)],[5770])).
% 7.11/5.07 tff(5772,plain,
% 7.11/5.07 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB30)) | (~(((~v90(constB30, bitIndex2)) <=> v129(constB30, bitIndex2)) | ((~v90(constB30, bitIndex1)) <=> v129(constB30, bitIndex1)) | ((~v90(constB30, bitIndex0)) <=> v129(constB30, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB30)) | (~(((~v90(constB30, bitIndex0)) <=> v129(constB30, bitIndex0)) | ((~v90(constB30, bitIndex2)) <=> v129(constB30, bitIndex2)) | ((~v90(constB30, bitIndex1)) <=> v129(constB30, bitIndex1)))))),
% 7.11/5.07 inference(transitivity,[status(thm)],[5771, 5769])).
% 7.11/5.07 tff(5773,plain,
% 7.11/5.07 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB30)) | (~(((~v90(constB30, bitIndex2)) <=> v129(constB30, bitIndex2)) | ((~v90(constB30, bitIndex1)) <=> v129(constB30, bitIndex1)) | ((~v90(constB30, bitIndex0)) <=> v129(constB30, bitIndex0)))))),
% 7.11/5.07 inference(quant_inst,[status(thm)],[])).
% 7.11/5.07 tff(5774,plain,
% 7.11/5.07 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB30)) | (~(((~v90(constB30, bitIndex0)) <=> v129(constB30, bitIndex0)) | ((~v90(constB30, bitIndex2)) <=> v129(constB30, bitIndex2)) | ((~v90(constB30, bitIndex1)) <=> v129(constB30, bitIndex1))))),
% 7.11/5.07 inference(modus_ponens,[status(thm)],[5773, 5772])).
% 7.11/5.07 tff(5775,plain,
% 7.11/5.07 ((~v100(constB30)) | (~(((~v90(constB30, bitIndex0)) <=> v129(constB30, bitIndex0)) | ((~v90(constB30, bitIndex2)) <=> v129(constB30, bitIndex2)) | ((~v90(constB30, bitIndex1)) <=> v129(constB30, bitIndex1))))),
% 7.11/5.07 inference(unit_resolution,[status(thm)],[5774, 3429])).
% 7.11/5.07 tff(5776,plain,
% 7.11/5.07 (~(((~v90(constB30, bitIndex0)) <=> v129(constB30, bitIndex0)) | ((~v90(constB30, bitIndex2)) <=> v129(constB30, bitIndex2)) | ((~v90(constB30, bitIndex1)) <=> v129(constB30, bitIndex1)))),
% 7.11/5.07 inference(unit_resolution,[status(thm)],[5775, 5768])).
% 7.11/5.07 tff(5777,plain,
% 7.11/5.07 ((((~v90(constB30, bitIndex0)) <=> v129(constB30, bitIndex0)) | ((~v90(constB30, bitIndex2)) <=> v129(constB30, bitIndex2)) | ((~v90(constB30, bitIndex1)) <=> v129(constB30, bitIndex1))) | (~((~v90(constB30, bitIndex2)) <=> v129(constB30, bitIndex2)))),
% 7.11/5.07 inference(tautology,[status(thm)],[])).
% 7.11/5.07 tff(5778,plain,
% 7.11/5.07 (~((~v90(constB30, bitIndex2)) <=> v129(constB30, bitIndex2))),
% 7.11/5.07 inference(unit_resolution,[status(thm)],[5777, 5776])).
% 7.11/5.07 tff(5779,plain,
% 7.11/5.07 (((~v90(constB30, bitIndex2)) <=> v129(constB30, bitIndex2)) | (~v90(constB30, bitIndex2)) | v129(constB30, bitIndex2)),
% 7.11/5.07 inference(tautology,[status(thm)],[])).
% 7.11/5.07 tff(5780,plain,
% 7.11/5.07 (~v90(constB30, bitIndex2)),
% 7.11/5.07 inference(unit_resolution,[status(thm)],[5779, 5778, 5678])).
% 7.11/5.07 tff(5781,plain,
% 7.11/5.07 (((~v90(constB31, bitIndex2)) <=> v90(constB30, bitIndex2)) | (~v90(constB31, bitIndex2)) | v90(constB30, bitIndex2)),
% 7.11/5.07 inference(tautology,[status(thm)],[])).
% 7.11/5.07 tff(5782,plain,
% 7.11/5.07 (~v90(constB31, bitIndex2)),
% 7.11/5.07 inference(unit_resolution,[status(thm)],[5781, 5780, 2215])).
% 7.11/5.07 tff(5783,plain,
% 7.11/5.07 ((((~v90(constB31, bitIndex1)) <=> v90(constB30, bitIndex1)) | ((~v90(constB31, bitIndex2)) <=> v90(constB30, bitIndex2)) | ((~v90(constB31, bitIndex0)) <=> v90(constB30, bitIndex0))) | (~((~v90(constB31, bitIndex0)) <=> v90(constB30, bitIndex0)))),
% 7.11/5.07 inference(tautology,[status(thm)],[])).
% 7.11/5.07 tff(5784,plain,
% 7.11/5.07 (~((~v90(constB31, bitIndex0)) <=> v90(constB30, bitIndex0))),
% 7.11/5.07 inference(unit_resolution,[status(thm)],[5783, 2213])).
% 7.11/5.07 tff(5785,plain,
% 7.11/5.07 ((((~v129(constB30, bitIndex2)) <=> v127(constB29, bitIndex2)) | ((~v129(constB30, bitIndex1)) <=> v127(constB29, bitIndex1)) | ((~v129(constB30, bitIndex0)) <=> v127(constB29, bitIndex0))) | (~((~v129(constB30, bitIndex0)) <=> v127(constB29, bitIndex0)))),
% 7.11/5.07 inference(tautology,[status(thm)],[])).
% 7.11/5.07 tff(5786,plain,
% 7.11/5.07 (~((~v129(constB30, bitIndex0)) <=> v127(constB29, bitIndex0))),
% 7.11/5.07 inference(unit_resolution,[status(thm)],[5785, 2222])).
% 7.11/5.07 tff(5787,plain,
% 7.11/5.07 ((((~v127(constB29, bitIndex2)) <=> v130(constB29, bitIndex2)) | ((~v127(constB29, bitIndex1)) <=> v130(constB29, bitIndex1)) | ((~v127(constB29, bitIndex0)) <=> v130(constB29, bitIndex0))) | (~((~v127(constB29, bitIndex0)) <=> v130(constB29, bitIndex0)))),
% 7.11/5.07 inference(tautology,[status(thm)],[])).
% 7.11/5.07 tff(5788,plain,
% 7.11/5.07 (~((~v127(constB29, bitIndex0)) <=> v130(constB29, bitIndex0))),
% 7.11/5.07 inference(unit_resolution,[status(thm)],[5787, 2236])).
% 7.11/5.07 tff(5789,plain,
% 7.11/5.07 ((v130(constB29, bitIndex2) | (~v130(constB29, bitIndex1)) | (~v130(constB29, bitIndex0))) | v130(constB29, bitIndex0)),
% 7.11/5.07 inference(tautology,[status(thm)],[])).
% 7.11/5.07 tff(5790,plain,
% 7.11/5.07 (v130(constB29, bitIndex0)),
% 7.11/5.07 inference(unit_resolution,[status(thm)],[5789, 5672])).
% 7.11/5.07 tff(5791,plain,
% 7.11/5.07 (((~v127(constB29, bitIndex0)) <=> v130(constB29, bitIndex0)) | v127(constB29, bitIndex0) | (~v130(constB29, bitIndex0))),
% 7.11/5.07 inference(tautology,[status(thm)],[])).
% 7.11/5.07 tff(5792,plain,
% 7.11/5.07 (v127(constB29, bitIndex0)),
% 7.11/5.07 inference(unit_resolution,[status(thm)],[5791, 5790, 5788])).
% 7.11/5.07 tff(5793,plain,
% 7.11/5.07 (((~v129(constB30, bitIndex0)) <=> v127(constB29, bitIndex0)) | v129(constB30, bitIndex0) | (~v127(constB29, bitIndex0))),
% 7.11/5.07 inference(tautology,[status(thm)],[])).
% 7.11/5.07 tff(5794,plain,
% 7.11/5.07 (v129(constB30, bitIndex0)),
% 7.11/5.07 inference(unit_resolution,[status(thm)],[5793, 5792, 5786])).
% 7.11/5.07 tff(5795,plain,
% 7.11/5.07 ((((~v90(constB30, bitIndex0)) <=> v129(constB30, bitIndex0)) | ((~v90(constB30, bitIndex2)) <=> v129(constB30, bitIndex2)) | ((~v90(constB30, bitIndex1)) <=> v129(constB30, bitIndex1))) | (~((~v90(constB30, bitIndex0)) <=> v129(constB30, bitIndex0)))),
% 7.11/5.07 inference(tautology,[status(thm)],[])).
% 7.11/5.07 tff(5796,plain,
% 7.11/5.07 (~((~v90(constB30, bitIndex0)) <=> v129(constB30, bitIndex0))),
% 7.11/5.07 inference(unit_resolution,[status(thm)],[5795, 5776])).
% 7.11/5.07 tff(5797,plain,
% 7.11/5.07 (((~v90(constB30, bitIndex0)) <=> v129(constB30, bitIndex0)) | v90(constB30, bitIndex0) | (~v129(constB30, bitIndex0))),
% 7.11/5.07 inference(tautology,[status(thm)],[])).
% 7.11/5.07 tff(5798,plain,
% 7.11/5.07 (v90(constB30, bitIndex0)),
% 7.11/5.07 inference(unit_resolution,[status(thm)],[5797, 5796, 5794])).
% 7.11/5.07 tff(5799,plain,
% 7.11/5.07 (((~v90(constB31, bitIndex0)) <=> v90(constB30, bitIndex0)) | v90(constB31, bitIndex0) | (~v90(constB30, bitIndex0))),
% 7.11/5.07 inference(tautology,[status(thm)],[])).
% 7.11/5.07 tff(5800,plain,
% 7.11/5.07 (v90(constB31, bitIndex0)),
% 7.11/5.07 inference(unit_resolution,[status(thm)],[5799, 5798, 5784])).
% 7.11/5.07 tff(5801,plain,
% 7.11/5.07 ((((~v90(constB31, bitIndex1)) <=> v90(constB30, bitIndex1)) | ((~v90(constB31, bitIndex2)) <=> v90(constB30, bitIndex2)) | ((~v90(constB31, bitIndex0)) <=> v90(constB30, bitIndex0))) | (~((~v90(constB31, bitIndex1)) <=> v90(constB30, bitIndex1)))),
% 7.11/5.07 inference(tautology,[status(thm)],[])).
% 7.11/5.07 tff(5802,plain,
% 7.11/5.07 (~((~v90(constB31, bitIndex1)) <=> v90(constB30, bitIndex1))),
% 7.11/5.07 inference(unit_resolution,[status(thm)],[5801, 2213])).
% 7.11/5.07 tff(5803,plain,
% 7.11/5.07 ((((~v129(constB30, bitIndex2)) <=> v127(constB29, bitIndex2)) | ((~v129(constB30, bitIndex1)) <=> v127(constB29, bitIndex1)) | ((~v129(constB30, bitIndex0)) <=> v127(constB29, bitIndex0))) | (~((~v129(constB30, bitIndex1)) <=> v127(constB29, bitIndex1)))),
% 7.11/5.07 inference(tautology,[status(thm)],[])).
% 7.11/5.07 tff(5804,plain,
% 7.11/5.07 (~((~v129(constB30, bitIndex1)) <=> v127(constB29, bitIndex1))),
% 7.11/5.07 inference(unit_resolution,[status(thm)],[5803, 2222])).
% 7.11/5.07 tff(5805,plain,
% 7.11/5.07 ((((~v127(constB29, bitIndex2)) <=> v130(constB29, bitIndex2)) | ((~v127(constB29, bitIndex1)) <=> v130(constB29, bitIndex1)) | ((~v127(constB29, bitIndex0)) <=> v130(constB29, bitIndex0))) | (~((~v127(constB29, bitIndex1)) <=> v130(constB29, bitIndex1)))),
% 7.11/5.07 inference(tautology,[status(thm)],[])).
% 7.11/5.07 tff(5806,plain,
% 7.11/5.07 (~((~v127(constB29, bitIndex1)) <=> v130(constB29, bitIndex1))),
% 7.11/5.07 inference(unit_resolution,[status(thm)],[5805, 2236])).
% 7.11/5.07 tff(5807,plain,
% 7.11/5.07 ((v130(constB29, bitIndex2) | (~v130(constB29, bitIndex1)) | (~v130(constB29, bitIndex0))) | v130(constB29, bitIndex1)),
% 7.11/5.07 inference(tautology,[status(thm)],[])).
% 7.11/5.07 tff(5808,plain,
% 7.11/5.07 (v130(constB29, bitIndex1)),
% 7.11/5.07 inference(unit_resolution,[status(thm)],[5807, 5672])).
% 7.11/5.07 tff(5809,plain,
% 7.11/5.07 (((~v127(constB29, bitIndex1)) <=> v130(constB29, bitIndex1)) | v127(constB29, bitIndex1) | (~v130(constB29, bitIndex1))),
% 7.11/5.07 inference(tautology,[status(thm)],[])).
% 7.11/5.07 tff(5810,plain,
% 7.11/5.07 (v127(constB29, bitIndex1)),
% 7.11/5.07 inference(unit_resolution,[status(thm)],[5809, 5808, 5806])).
% 7.11/5.07 tff(5811,plain,
% 7.11/5.07 (((~v129(constB30, bitIndex1)) <=> v127(constB29, bitIndex1)) | v129(constB30, bitIndex1) | (~v127(constB29, bitIndex1))),
% 7.11/5.07 inference(tautology,[status(thm)],[])).
% 7.11/5.07 tff(5812,plain,
% 7.11/5.07 (v129(constB30, bitIndex1)),
% 7.11/5.07 inference(unit_resolution,[status(thm)],[5811, 5810, 5804])).
% 7.11/5.07 tff(5813,plain,
% 7.11/5.07 ((((~v90(constB30, bitIndex0)) <=> v129(constB30, bitIndex0)) | ((~v90(constB30, bitIndex2)) <=> v129(constB30, bitIndex2)) | ((~v90(constB30, bitIndex1)) <=> v129(constB30, bitIndex1))) | (~((~v90(constB30, bitIndex1)) <=> v129(constB30, bitIndex1)))),
% 7.11/5.07 inference(tautology,[status(thm)],[])).
% 7.11/5.07 tff(5814,plain,
% 7.11/5.07 (~((~v90(constB30, bitIndex1)) <=> v129(constB30, bitIndex1))),
% 7.11/5.07 inference(unit_resolution,[status(thm)],[5813, 5776])).
% 7.11/5.07 tff(5815,plain,
% 7.11/5.07 (((~v90(constB30, bitIndex1)) <=> v129(constB30, bitIndex1)) | v90(constB30, bitIndex1) | (~v129(constB30, bitIndex1))),
% 7.11/5.07 inference(tautology,[status(thm)],[])).
% 7.11/5.07 tff(5816,plain,
% 7.11/5.07 (v90(constB30, bitIndex1)),
% 7.11/5.07 inference(unit_resolution,[status(thm)],[5815, 5814, 5812])).
% 7.11/5.07 tff(5817,plain,
% 7.11/5.07 (((~v90(constB31, bitIndex1)) <=> v90(constB30, bitIndex1)) | v90(constB31, bitIndex1) | (~v90(constB30, bitIndex1))),
% 7.11/5.07 inference(tautology,[status(thm)],[])).
% 7.11/5.07 tff(5818,plain,
% 7.11/5.07 (v90(constB31, bitIndex1)),
% 7.11/5.07 inference(unit_resolution,[status(thm)],[5817, 5816, 5802])).
% 7.11/5.07 tff(5819,plain,
% 7.11/5.07 ((~(v90(constB31, bitIndex2) | (~v90(constB31, bitIndex1)) | (~v90(constB31, bitIndex0)))) | v90(constB31, bitIndex2) | (~v90(constB31, bitIndex1)) | (~v90(constB31, bitIndex0))),
% 7.11/5.07 inference(tautology,[status(thm)],[])).
% 7.11/5.07 tff(5820,plain,
% 7.11/5.07 (~(v90(constB31, bitIndex2) | (~v90(constB31, bitIndex1)) | (~v90(constB31, bitIndex0)))),
% 7.11/5.07 inference(unit_resolution,[status(thm)],[5819, 5818, 5800, 5782])).
% 7.11/5.08 tff(5821,plain,
% 7.11/5.08 ((~(v122(constB31) <=> (~(v90(constB31, bitIndex2) | (~v90(constB31, bitIndex1)) | (~v90(constB31, bitIndex0)))))) | v122(constB31) | (v90(constB31, bitIndex2) | (~v90(constB31, bitIndex1)) | (~v90(constB31, bitIndex0)))),
% 7.11/5.08 inference(tautology,[status(thm)],[])).
% 7.11/5.08 tff(5822,plain,
% 7.11/5.08 (v122(constB31)),
% 7.11/5.08 inference(unit_resolution,[status(thm)],[5821, 5820, 2179])).
% 7.11/5.08 tff(5823,plain,
% 7.11/5.08 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB31)) | (~(v130(constB31, bitIndex1) | v130(constB31, bitIndex0) | (~v130(constB31, bitIndex2)))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | (~v122(constB31)) | (~(v130(constB31, bitIndex1) | v130(constB31, bitIndex0) | (~v130(constB31, bitIndex2)))))),
% 7.11/5.08 inference(rewrite,[status(thm)],[])).
% 7.11/5.08 tff(5824,plain,
% 7.11/5.08 (((~v122(constB31)) | (~(v130(constB31, bitIndex0) | v130(constB31, bitIndex1) | (~v130(constB31, bitIndex2))))) <=> ((~v122(constB31)) | (~(v130(constB31, bitIndex1) | v130(constB31, bitIndex0) | (~v130(constB31, bitIndex2)))))),
% 7.11/5.08 inference(rewrite,[status(thm)],[])).
% 7.11/5.08 tff(5825,plain,
% 7.11/5.08 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB31)) | (~(v130(constB31, bitIndex0) | v130(constB31, bitIndex1) | (~v130(constB31, bitIndex2)))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB31)) | (~(v130(constB31, bitIndex1) | v130(constB31, bitIndex0) | (~v130(constB31, bitIndex2))))))),
% 7.11/5.08 inference(monotonicity,[status(thm)],[5824])).
% 7.11/5.08 tff(5826,plain,
% 7.11/5.08 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB31)) | (~(v130(constB31, bitIndex0) | v130(constB31, bitIndex1) | (~v130(constB31, bitIndex2)))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | (~v122(constB31)) | (~(v130(constB31, bitIndex1) | v130(constB31, bitIndex0) | (~v130(constB31, bitIndex2)))))),
% 7.11/5.08 inference(transitivity,[status(thm)],[5825, 5823])).
% 7.11/5.08 tff(5827,plain,
% 7.11/5.08 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB31)) | (~(v130(constB31, bitIndex0) | v130(constB31, bitIndex1) | (~v130(constB31, bitIndex2)))))),
% 7.11/5.08 inference(quant_inst,[status(thm)],[])).
% 7.11/5.08 tff(5828,plain,
% 7.11/5.08 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | (~v122(constB31)) | (~(v130(constB31, bitIndex1) | v130(constB31, bitIndex0) | (~v130(constB31, bitIndex2))))),
% 7.11/5.08 inference(modus_ponens,[status(thm)],[5827, 5826])).
% 7.11/5.08 tff(5829,plain,
% 7.11/5.08 ((~v122(constB31)) | (~(v130(constB31, bitIndex1) | v130(constB31, bitIndex0) | (~v130(constB31, bitIndex2))))),
% 7.11/5.08 inference(unit_resolution,[status(thm)],[5828, 4223])).
% 7.11/5.08 tff(5830,plain,
% 7.11/5.08 (~(v130(constB31, bitIndex1) | v130(constB31, bitIndex0) | (~v130(constB31, bitIndex2)))),
% 7.11/5.08 inference(unit_resolution,[status(thm)],[5829, 5822])).
% 7.11/5.08 tff(5831,plain,
% 7.11/5.08 ((v130(constB31, bitIndex1) | v130(constB31, bitIndex0) | (~v130(constB31, bitIndex2))) | v130(constB31, bitIndex2)),
% 7.11/5.08 inference(tautology,[status(thm)],[])).
% 7.11/5.08 tff(5832,plain,
% 7.11/5.08 (v130(constB31, bitIndex2)),
% 7.11/5.08 inference(unit_resolution,[status(thm)],[5831, 5830])).
% 7.11/5.08 tff(5833,plain,
% 7.11/5.08 (((~v127(constB31, bitIndex2)) <=> v130(constB31, bitIndex2)) | v127(constB31, bitIndex2) | (~v130(constB31, bitIndex2))),
% 7.11/5.08 inference(tautology,[status(thm)],[])).
% 7.11/5.08 tff(5834,plain,
% 7.11/5.08 (v127(constB31, bitIndex2)),
% 7.11/5.08 inference(unit_resolution,[status(thm)],[5833, 5832, 2172])).
% 7.11/5.08 tff(5835,plain,
% 7.11/5.08 (((~v129(constB32, bitIndex2)) <=> v127(constB31, bitIndex2)) | v129(constB32, bitIndex2) | (~v127(constB31, bitIndex2))),
% 7.11/5.08 inference(tautology,[status(thm)],[])).
% 7.11/5.08 tff(5836,plain,
% 7.11/5.08 (v129(constB32, bitIndex2)),
% 7.11/5.08 inference(unit_resolution,[status(thm)],[5835, 5834, 2158])).
% 7.11/5.08 tff(5837,plain,
% 7.11/5.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB31, constB32)) | (v100(constB32) <=> (~((~v101(constB32)) | (~v110(constB32))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB31, constB32)) | (v100(constB32) <=> (~((~v101(constB32)) | (~v110(constB32))))))),
% 7.11/5.08 inference(rewrite,[status(thm)],[])).
% 7.11/5.08 tff(5838,plain,
% 7.11/5.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB31, constB32)) | (v100(constB32) <=> (~((~v101(constB32)) | (~v110(constB32))))))),
% 7.11/5.08 inference(quant_inst,[status(thm)],[])).
% 7.11/5.08 tff(5839,plain,
% 7.11/5.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB31, constB32)) | (v100(constB32) <=> (~((~v101(constB32)) | (~v110(constB32)))))),
% 7.11/5.08 inference(modus_ponens,[status(thm)],[5838, 5837])).
% 7.11/5.08 tff(5840,plain,
% 7.11/5.08 (v100(constB32) <=> (~((~v101(constB32)) | (~v110(constB32))))),
% 7.11/5.08 inference(unit_resolution,[status(thm)],[5839, 2152, 445])).
% 7.11/5.08 tff(5841,plain,
% 7.11/5.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB31, constB32)) | (v101(constB32) <=> (~((~v1(constB32)) | (~v102(constB32))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB31, constB32)) | (v101(constB32) <=> (~((~v1(constB32)) | (~v102(constB32))))))),
% 7.11/5.08 inference(rewrite,[status(thm)],[])).
% 7.11/5.08 tff(5842,plain,
% 7.11/5.08 (((~nextState(constB31, constB32)) | (v101(constB32) <=> (~((~v102(constB32)) | (~v1(constB32)))))) <=> ((~nextState(constB31, constB32)) | (v101(constB32) <=> (~((~v1(constB32)) | (~v102(constB32))))))),
% 7.11/5.08 inference(rewrite,[status(thm)],[])).
% 7.11/5.08 tff(5843,plain,
% 7.11/5.08 (((~![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) <=> (~((~v1(constB32)) | (~v102(constB32)))))))),
% 7.11/5.08 inference(monotonicity,[status(thm)],[5842])).
% 7.11/5.08 tff(5844,plain,
% 7.11/5.08 (((~![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) <=> (~((~v1(constB32)) | (~v102(constB32))))))),
% 7.11/5.08 inference(transitivity,[status(thm)],[5843, 5841])).
% 7.11/5.08 tff(5845,plain,
% 7.11/5.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB31, constB32)) | (v101(constB32) <=> (~((~v102(constB32)) | (~v1(constB32))))))),
% 7.11/5.08 inference(quant_inst,[status(thm)],[])).
% 7.11/5.08 tff(5846,plain,
% 7.11/5.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB31, constB32)) | (v101(constB32) <=> (~((~v1(constB32)) | (~v102(constB32)))))),
% 7.11/5.08 inference(modus_ponens,[status(thm)],[5845, 5844])).
% 7.11/5.08 tff(5847,plain,
% 7.11/5.08 (v101(constB32) <=> (~((~v1(constB32)) | (~v102(constB32))))),
% 7.11/5.08 inference(unit_resolution,[status(thm)],[5846, 2152, 465])).
% 7.11/5.08 tff(5848,plain,
% 7.11/5.08 (((~![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)))),
% 7.11/5.08 inference(rewrite,[status(thm)],[])).
% 7.11/5.08 tff(5849,plain,
% 7.11/5.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB31, constB32)) | ((~v102(constB32)) <=> v104(constB32)))),
% 7.11/5.08 inference(quant_inst,[status(thm)],[])).
% 7.11/5.08 tff(5850,plain,
% 7.11/5.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB31, constB32)) | ((~v102(constB32)) <=> v104(constB32))),
% 7.11/5.08 inference(modus_ponens,[status(thm)],[5849, 5848])).
% 7.11/5.08 tff(5851,plain,
% 7.11/5.08 ((~v102(constB32)) <=> v104(constB32)),
% 7.11/5.08 inference(unit_resolution,[status(thm)],[5850, 2152, 3244])).
% 7.11/5.08 tff(5852,plain,
% 7.11/5.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB31, constB32)) | (v104(constB32) <=> v1(constB31)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB31, constB32)) | (v104(constB32) <=> v1(constB31)))),
% 7.11/5.08 inference(rewrite,[status(thm)],[])).
% 7.11/5.08 tff(5853,plain,
% 7.11/5.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB31, constB32)) | (v104(constB32) <=> v1(constB31)))),
% 7.11/5.08 inference(quant_inst,[status(thm)],[])).
% 7.11/5.08 tff(5854,plain,
% 7.11/5.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB31, constB32)) | (v104(constB32) <=> v1(constB31))),
% 7.11/5.08 inference(modus_ponens,[status(thm)],[5853, 5852])).
% 7.11/5.08 tff(5855,plain,
% 7.11/5.08 (v104(constB32) <=> v1(constB31)),
% 7.11/5.08 inference(unit_resolution,[status(thm)],[5854, 2152, 3258])).
% 7.11/5.08 tff(5856,plain,
% 7.11/5.08 ((~(v104(constB32) <=> v1(constB31))) | (~v104(constB32)) | v1(constB31)),
% 7.11/5.08 inference(tautology,[status(thm)],[])).
% 7.11/5.08 tff(5857,plain,
% 7.11/5.08 ((~(v104(constB32) <=> v1(constB31))) | (~v104(constB32))),
% 7.11/5.08 inference(unit_resolution,[status(thm)],[5856, 2196])).
% 7.11/5.08 tff(5858,plain,
% 7.11/5.08 (~v104(constB32)),
% 7.11/5.08 inference(unit_resolution,[status(thm)],[5857, 5855])).
% 7.11/5.08 tff(5859,plain,
% 7.11/5.08 ((~((~v102(constB32)) <=> v104(constB32))) | v102(constB32) | v104(constB32)),
% 7.11/5.08 inference(tautology,[status(thm)],[])).
% 7.11/5.08 tff(5860,plain,
% 7.11/5.08 (v102(constB32)),
% 7.11/5.08 inference(unit_resolution,[status(thm)],[5859, 5858, 5851])).
% 7.11/5.08 tff(5861,plain,
% 7.11/5.08 (v1(constB32) <=> v1(constB32)),
% 7.11/5.08 inference(rewrite,[status(thm)],[])).
% 7.11/5.08 tff(5862,axiom,(v1(constB32)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_32')).
% 7.11/5.08 tff(5863,plain,
% 7.11/5.08 (v1(constB32)),
% 7.11/5.08 inference(modus_ponens,[status(thm)],[5862, 5861])).
% 7.11/5.08 tff(5864,plain,
% 7.11/5.08 ((~((~v1(constB32)) | (~v102(constB32)))) | (~v1(constB32)) | (~v102(constB32))),
% 7.11/5.08 inference(tautology,[status(thm)],[])).
% 7.11/5.08 tff(5865,plain,
% 7.11/5.08 ((~((~v1(constB32)) | (~v102(constB32)))) | (~v102(constB32))),
% 7.11/5.08 inference(unit_resolution,[status(thm)],[5864, 5863])).
% 7.11/5.08 tff(5866,plain,
% 7.11/5.08 (~((~v1(constB32)) | (~v102(constB32)))),
% 7.11/5.08 inference(unit_resolution,[status(thm)],[5865, 5860])).
% 7.11/5.08 tff(5867,plain,
% 7.11/5.08 ((~(v101(constB32) <=> (~((~v1(constB32)) | (~v102(constB32)))))) | v101(constB32) | ((~v1(constB32)) | (~v102(constB32)))),
% 7.11/5.08 inference(tautology,[status(thm)],[])).
% 7.11/5.08 tff(5868,plain,
% 7.11/5.08 (v101(constB32)),
% 7.11/5.08 inference(unit_resolution,[status(thm)],[5867, 5866, 5847])).
% 7.11/5.08 tff(5869,plain,
% 7.11/5.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB31, constB32)) | (v110(constB32) <=> v108(constB31)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB31, constB32)) | (v110(constB32) <=> v108(constB31)))),
% 7.11/5.08 inference(rewrite,[status(thm)],[])).
% 7.11/5.08 tff(5870,plain,
% 7.11/5.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB31, constB32)) | (v110(constB32) <=> v108(constB31)))),
% 7.11/5.08 inference(quant_inst,[status(thm)],[])).
% 7.11/5.08 tff(5871,plain,
% 7.11/5.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB31, constB32)) | (v110(constB32) <=> v108(constB31))),
% 7.11/5.08 inference(modus_ponens,[status(thm)],[5870, 5869])).
% 7.11/5.08 tff(5872,plain,
% 7.11/5.08 (v110(constB32) <=> v108(constB31)),
% 7.11/5.08 inference(unit_resolution,[status(thm)],[5871, 2152, 3285])).
% 7.11/5.08 tff(5873,plain,
% 7.11/5.08 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB31) <=> (v111(constB31) | v112(constB31)))),
% 7.11/5.08 inference(quant_inst,[status(thm)],[])).
% 7.11/5.08 tff(5874,plain,
% 7.11/5.08 (v108(constB31) <=> (v111(constB31) | v112(constB31))),
% 7.11/5.08 inference(unit_resolution,[status(thm)],[5873, 3296])).
% 7.11/5.08 tff(5875,plain,
% 7.11/5.08 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB31) <=> (~((~v113(constB31)) | (~v126(constB31)))))),
% 7.11/5.08 inference(quant_inst,[status(thm)],[])).
% 7.11/5.08 tff(5876,plain,
% 7.11/5.08 (v112(constB31) <=> (~((~v113(constB31)) | (~v126(constB31))))),
% 7.11/5.08 inference(unit_resolution,[status(thm)],[5875, 3308])).
% 7.11/5.08 tff(5877,plain,
% 7.11/5.08 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB31) <=> (v114(constB31) | v125(constB31)))),
% 7.11/5.08 inference(quant_inst,[status(thm)],[])).
% 7.11/5.08 tff(5878,plain,
% 7.11/5.08 (v113(constB31) <=> (v114(constB31) | v125(constB31))),
% 7.11/5.08 inference(unit_resolution,[status(thm)],[5877, 3317])).
% 7.11/5.08 tff(5879,plain,
% 7.11/5.08 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB31) <=> (v115(constB31) | v124(constB31)))),
% 7.11/5.08 inference(quant_inst,[status(thm)],[])).
% 7.11/5.08 tff(5880,plain,
% 7.11/5.08 (v114(constB31) <=> (v115(constB31) | v124(constB31))),
% 7.11/5.08 inference(unit_resolution,[status(thm)],[5879, 3326])).
% 7.11/5.08 tff(5881,plain,
% 7.11/5.08 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB31) <=> (v116(constB31) | v123(constB31)))),
% 7.11/5.08 inference(quant_inst,[status(thm)],[])).
% 7.11/5.08 tff(5882,plain,
% 7.11/5.08 (v115(constB31) <=> (v116(constB31) | v123(constB31))),
% 7.11/5.08 inference(unit_resolution,[status(thm)],[5881, 3335])).
% 7.11/5.08 tff(5883,plain,
% 7.11/5.08 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB31) <=> (v117(constB31) | v122(constB31)))),
% 7.11/5.08 inference(quant_inst,[status(thm)],[])).
% 7.11/5.08 tff(5884,plain,
% 7.11/5.08 (v116(constB31) <=> (v117(constB31) | v122(constB31))),
% 7.11/5.08 inference(unit_resolution,[status(thm)],[5883, 3344])).
% 7.11/5.08 tff(5885,plain,
% 7.11/5.08 ((v117(constB31) | v122(constB31)) | (~v122(constB31))),
% 7.11/5.08 inference(tautology,[status(thm)],[])).
% 7.11/5.08 tff(5886,plain,
% 7.11/5.08 (v117(constB31) | v122(constB31)),
% 7.11/5.08 inference(unit_resolution,[status(thm)],[5885, 5822])).
% 7.11/5.08 tff(5887,plain,
% 7.11/5.08 ((~(v116(constB31) <=> (v117(constB31) | v122(constB31)))) | v116(constB31) | (~(v117(constB31) | v122(constB31)))),
% 7.11/5.08 inference(tautology,[status(thm)],[])).
% 7.11/5.08 tff(5888,plain,
% 7.11/5.08 (v116(constB31)),
% 7.11/5.08 inference(unit_resolution,[status(thm)],[5887, 5886, 5884])).
% 7.11/5.08 tff(5889,plain,
% 7.11/5.08 ((v116(constB31) | v123(constB31)) | (~v116(constB31))),
% 7.11/5.08 inference(tautology,[status(thm)],[])).
% 7.11/5.08 tff(5890,plain,
% 7.11/5.08 (v116(constB31) | v123(constB31)),
% 7.11/5.08 inference(unit_resolution,[status(thm)],[5889, 5888])).
% 7.11/5.08 tff(5891,plain,
% 7.11/5.08 ((~(v115(constB31) <=> (v116(constB31) | v123(constB31)))) | v115(constB31) | (~(v116(constB31) | v123(constB31)))),
% 7.11/5.08 inference(tautology,[status(thm)],[])).
% 7.11/5.08 tff(5892,plain,
% 7.11/5.08 (v115(constB31)),
% 7.11/5.08 inference(unit_resolution,[status(thm)],[5891, 5890, 5882])).
% 7.11/5.08 tff(5893,plain,
% 7.11/5.08 ((v115(constB31) | v124(constB31)) | (~v115(constB31))),
% 7.11/5.08 inference(tautology,[status(thm)],[])).
% 7.11/5.08 tff(5894,plain,
% 7.11/5.08 (v115(constB31) | v124(constB31)),
% 7.11/5.08 inference(unit_resolution,[status(thm)],[5893, 5892])).
% 7.11/5.08 tff(5895,plain,
% 7.11/5.08 ((~(v114(constB31) <=> (v115(constB31) | v124(constB31)))) | v114(constB31) | (~(v115(constB31) | v124(constB31)))),
% 7.11/5.08 inference(tautology,[status(thm)],[])).
% 7.11/5.08 tff(5896,plain,
% 7.11/5.08 (v114(constB31)),
% 7.11/5.08 inference(unit_resolution,[status(thm)],[5895, 5894, 5880])).
% 7.11/5.08 tff(5897,plain,
% 7.11/5.08 ((v114(constB31) | v125(constB31)) | (~v114(constB31))),
% 7.11/5.08 inference(tautology,[status(thm)],[])).
% 7.11/5.08 tff(5898,plain,
% 7.11/5.08 (v114(constB31) | v125(constB31)),
% 7.11/5.08 inference(unit_resolution,[status(thm)],[5897, 5896])).
% 7.11/5.08 tff(5899,plain,
% 7.11/5.08 ((~(v113(constB31) <=> (v114(constB31) | v125(constB31)))) | v113(constB31) | (~(v114(constB31) | v125(constB31)))),
% 7.11/5.08 inference(tautology,[status(thm)],[])).
% 7.11/5.08 tff(5900,plain,
% 7.11/5.08 (v113(constB31)),
% 7.11/5.08 inference(unit_resolution,[status(thm)],[5899, 5898, 5878])).
% 7.11/5.08 tff(5901,plain,
% 7.11/5.08 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB31)) <=> v111(constB31))),
% 7.11/5.08 inference(quant_inst,[status(thm)],[])).
% 7.11/5.08 tff(5902,plain,
% 7.11/5.08 ((~v126(constB31)) <=> v111(constB31)),
% 7.11/5.08 inference(unit_resolution,[status(thm)],[5901, 3396])).
% 7.11/5.08 tff(5903,plain,
% 7.11/5.08 ((~((~v126(constB31)) <=> v111(constB31))) | v126(constB31) | v111(constB31)),
% 7.11/5.08 inference(tautology,[status(thm)],[])).
% 7.11/5.08 tff(5904,plain,
% 7.11/5.08 ((~((~v126(constB31)) <=> v111(constB31))) | v126(constB31)),
% 7.11/5.08 inference(unit_resolution,[status(thm)],[5903, 2165])).
% 7.11/5.08 tff(5905,plain,
% 7.11/5.08 (v126(constB31)),
% 7.11/5.08 inference(unit_resolution,[status(thm)],[5904, 5902])).
% 7.11/5.08 tff(5906,plain,
% 7.11/5.08 ((~((~v113(constB31)) | (~v126(constB31)))) | (~v113(constB31)) | (~v126(constB31))),
% 7.11/5.08 inference(tautology,[status(thm)],[])).
% 7.11/5.08 tff(5907,plain,
% 7.11/5.08 ((~((~v113(constB31)) | (~v126(constB31)))) | (~v113(constB31))),
% 7.11/5.08 inference(unit_resolution,[status(thm)],[5906, 5905])).
% 7.11/5.08 tff(5908,plain,
% 7.11/5.08 (~((~v113(constB31)) | (~v126(constB31)))),
% 7.11/5.08 inference(unit_resolution,[status(thm)],[5907, 5900])).
% 7.11/5.08 tff(5909,plain,
% 7.11/5.08 ((~(v112(constB31) <=> (~((~v113(constB31)) | (~v126(constB31)))))) | v112(constB31) | ((~v113(constB31)) | (~v126(constB31)))),
% 7.11/5.08 inference(tautology,[status(thm)],[])).
% 7.11/5.08 tff(5910,plain,
% 7.11/5.08 (v112(constB31)),
% 7.11/5.08 inference(unit_resolution,[status(thm)],[5909, 5908, 5876])).
% 7.11/5.08 tff(5911,plain,
% 7.11/5.08 ((v111(constB31) | v112(constB31)) | (~v112(constB31))),
% 7.11/5.08 inference(tautology,[status(thm)],[])).
% 7.11/5.08 tff(5912,plain,
% 7.11/5.08 (v111(constB31) | v112(constB31)),
% 7.11/5.08 inference(unit_resolution,[status(thm)],[5911, 5910])).
% 7.11/5.08 tff(5913,plain,
% 7.11/5.08 ((~(v108(constB31) <=> (v111(constB31) | v112(constB31)))) | v108(constB31) | (~(v111(constB31) | v112(constB31)))),
% 7.11/5.08 inference(tautology,[status(thm)],[])).
% 7.11/5.08 tff(5914,plain,
% 7.11/5.08 (v108(constB31)),
% 7.11/5.08 inference(unit_resolution,[status(thm)],[5913, 5912, 5874])).
% 7.11/5.08 tff(5915,plain,
% 7.11/5.08 ((~(v110(constB32) <=> v108(constB31))) | v110(constB32) | (~v108(constB31))),
% 7.11/5.08 inference(tautology,[status(thm)],[])).
% 7.11/5.08 tff(5916,plain,
% 7.11/5.08 (v110(constB32)),
% 7.11/5.08 inference(unit_resolution,[status(thm)],[5915, 5914, 5872])).
% 7.11/5.08 tff(5917,plain,
% 7.11/5.08 ((~((~v101(constB32)) | (~v110(constB32)))) | (~v101(constB32)) | (~v110(constB32))),
% 7.11/5.08 inference(tautology,[status(thm)],[])).
% 7.11/5.08 tff(5918,plain,
% 7.11/5.08 (~((~v101(constB32)) | (~v110(constB32)))),
% 7.11/5.08 inference(unit_resolution,[status(thm)],[5917, 5916, 5868])).
% 7.11/5.08 tff(5919,plain,
% 7.11/5.08 ((~(v100(constB32) <=> (~((~v101(constB32)) | (~v110(constB32)))))) | v100(constB32) | ((~v101(constB32)) | (~v110(constB32)))),
% 7.11/5.08 inference(tautology,[status(thm)],[])).
% 7.11/5.08 tff(5920,plain,
% 7.11/5.08 (v100(constB32)),
% 7.11/5.08 inference(unit_resolution,[status(thm)],[5919, 5918, 5840])).
% 7.11/5.08 tff(5921,plain,
% 7.11/5.08 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB32)) | (~(((~v90(constB32, bitIndex2)) <=> v129(constB32, bitIndex2)) | ((~v90(constB32, bitIndex1)) <=> v129(constB32, bitIndex1)) | ((~v90(constB32, bitIndex0)) <=> v129(constB32, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB32)) | (~(((~v90(constB32, bitIndex2)) <=> v129(constB32, bitIndex2)) | ((~v90(constB32, bitIndex1)) <=> v129(constB32, bitIndex1)) | ((~v90(constB32, bitIndex0)) <=> v129(constB32, bitIndex0)))))),
% 7.11/5.08 inference(rewrite,[status(thm)],[])).
% 7.11/5.08 tff(5922,plain,
% 7.11/5.08 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB32)) | (~(((~v90(constB32, bitIndex2)) <=> v129(constB32, bitIndex2)) | ((~v90(constB32, bitIndex1)) <=> v129(constB32, bitIndex1)) | ((~v90(constB32, bitIndex0)) <=> v129(constB32, bitIndex0)))))),
% 7.11/5.08 inference(quant_inst,[status(thm)],[])).
% 7.11/5.08 tff(5923,plain,
% 7.11/5.08 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB32)) | (~(((~v90(constB32, bitIndex2)) <=> v129(constB32, bitIndex2)) | ((~v90(constB32, bitIndex1)) <=> v129(constB32, bitIndex1)) | ((~v90(constB32, bitIndex0)) <=> v129(constB32, bitIndex0))))),
% 7.11/5.08 inference(modus_ponens,[status(thm)],[5922, 5921])).
% 7.11/5.08 tff(5924,plain,
% 7.11/5.08 ((~v100(constB32)) | (~(((~v90(constB32, bitIndex2)) <=> v129(constB32, bitIndex2)) | ((~v90(constB32, bitIndex1)) <=> v129(constB32, bitIndex1)) | ((~v90(constB32, bitIndex0)) <=> v129(constB32, bitIndex0))))),
% 7.11/5.08 inference(unit_resolution,[status(thm)],[5923, 3429])).
% 7.11/5.08 tff(5925,plain,
% 7.11/5.08 (~(((~v90(constB32, bitIndex2)) <=> v129(constB32, bitIndex2)) | ((~v90(constB32, bitIndex1)) <=> v129(constB32, bitIndex1)) | ((~v90(constB32, bitIndex0)) <=> v129(constB32, bitIndex0)))),
% 7.11/5.08 inference(unit_resolution,[status(thm)],[5924, 5920])).
% 7.11/5.08 tff(5926,plain,
% 7.11/5.08 ((((~v90(constB32, bitIndex2)) <=> v129(constB32, bitIndex2)) | ((~v90(constB32, bitIndex1)) <=> v129(constB32, bitIndex1)) | ((~v90(constB32, bitIndex0)) <=> v129(constB32, bitIndex0))) | (~((~v90(constB32, bitIndex2)) <=> v129(constB32, bitIndex2)))),
% 7.11/5.08 inference(tautology,[status(thm)],[])).
% 7.11/5.08 tff(5927,plain,
% 7.11/5.08 (~((~v90(constB32, bitIndex2)) <=> v129(constB32, bitIndex2))),
% 7.11/5.08 inference(unit_resolution,[status(thm)],[5926, 5925])).
% 7.11/5.08 tff(5928,plain,
% 7.11/5.08 (((~v90(constB32, bitIndex2)) <=> v129(constB32, bitIndex2)) | v90(constB32, bitIndex2) | (~v129(constB32, bitIndex2))),
% 7.11/5.08 inference(tautology,[status(thm)],[])).
% 7.11/5.08 tff(5929,plain,
% 7.11/5.08 (v90(constB32, bitIndex2)),
% 7.11/5.08 inference(unit_resolution,[status(thm)],[5928, 5927, 5836])).
% 7.11/5.08 tff(5930,plain,
% 7.11/5.08 (((~v90(constB33, bitIndex2)) <=> v90(constB32, bitIndex2)) | v90(constB33, bitIndex2) | (~v90(constB32, bitIndex2))),
% 7.11/5.08 inference(tautology,[status(thm)],[])).
% 7.11/5.08 tff(5931,plain,
% 7.11/5.08 (v90(constB33, bitIndex2)),
% 7.11/5.08 inference(unit_resolution,[status(thm)],[5930, 5929, 2149])).
% 7.11/5.08 tff(5932,plain,
% 7.11/5.08 ((((~v90(constB33, bitIndex1)) <=> v90(constB32, bitIndex1)) | ((~v90(constB33, bitIndex2)) <=> v90(constB32, bitIndex2)) | ((~v90(constB33, bitIndex0)) <=> v90(constB32, bitIndex0))) | (~((~v90(constB33, bitIndex0)) <=> v90(constB32, bitIndex0)))),
% 7.11/5.08 inference(tautology,[status(thm)],[])).
% 7.11/5.08 tff(5933,plain,
% 7.11/5.08 (~((~v90(constB33, bitIndex0)) <=> v90(constB32, bitIndex0))),
% 7.11/5.08 inference(unit_resolution,[status(thm)],[5932, 2147])).
% 7.11/5.08 tff(5934,plain,
% 7.11/5.08 ((((~v129(constB32, bitIndex2)) <=> v127(constB31, bitIndex2)) | ((~v129(constB32, bitIndex1)) <=> v127(constB31, bitIndex1)) | ((~v129(constB32, bitIndex0)) <=> v127(constB31, bitIndex0))) | (~((~v129(constB32, bitIndex0)) <=> v127(constB31, bitIndex0)))),
% 7.11/5.08 inference(tautology,[status(thm)],[])).
% 7.11/5.08 tff(5935,plain,
% 7.11/5.08 (~((~v129(constB32, bitIndex0)) <=> v127(constB31, bitIndex0))),
% 7.11/5.08 inference(unit_resolution,[status(thm)],[5934, 2156])).
% 7.11/5.08 tff(5936,plain,
% 7.11/5.08 ((((~v127(constB31, bitIndex2)) <=> v130(constB31, bitIndex2)) | ((~v127(constB31, bitIndex1)) <=> v130(constB31, bitIndex1)) | ((~v127(constB31, bitIndex0)) <=> v130(constB31, bitIndex0))) | (~((~v127(constB31, bitIndex0)) <=> v130(constB31, bitIndex0)))),
% 7.11/5.08 inference(tautology,[status(thm)],[])).
% 7.11/5.08 tff(5937,plain,
% 7.11/5.08 (~((~v127(constB31, bitIndex0)) <=> v130(constB31, bitIndex0))),
% 7.11/5.08 inference(unit_resolution,[status(thm)],[5936, 2170])).
% 7.11/5.08 tff(5938,plain,
% 7.11/5.08 ((v130(constB31, bitIndex1) | v130(constB31, bitIndex0) | (~v130(constB31, bitIndex2))) | (~v130(constB31, bitIndex0))),
% 7.11/5.08 inference(tautology,[status(thm)],[])).
% 7.11/5.08 tff(5939,plain,
% 7.11/5.08 (~v130(constB31, bitIndex0)),
% 7.11/5.08 inference(unit_resolution,[status(thm)],[5938, 5830])).
% 7.11/5.08 tff(5940,plain,
% 7.11/5.08 (((~v127(constB31, bitIndex0)) <=> v130(constB31, bitIndex0)) | (~v127(constB31, bitIndex0)) | v130(constB31, bitIndex0)),
% 7.11/5.08 inference(tautology,[status(thm)],[])).
% 7.11/5.08 tff(5941,plain,
% 7.11/5.08 (~v127(constB31, bitIndex0)),
% 7.11/5.08 inference(unit_resolution,[status(thm)],[5940, 5939, 5937])).
% 7.11/5.08 tff(5942,plain,
% 7.11/5.08 (((~v129(constB32, bitIndex0)) <=> v127(constB31, bitIndex0)) | (~v129(constB32, bitIndex0)) | v127(constB31, bitIndex0)),
% 7.11/5.08 inference(tautology,[status(thm)],[])).
% 7.11/5.08 tff(5943,plain,
% 7.11/5.08 (~v129(constB32, bitIndex0)),
% 7.11/5.08 inference(unit_resolution,[status(thm)],[5942, 5941, 5935])).
% 7.11/5.08 tff(5944,plain,
% 7.11/5.08 ((((~v90(constB32, bitIndex2)) <=> v129(constB32, bitIndex2)) | ((~v90(constB32, bitIndex1)) <=> v129(constB32, bitIndex1)) | ((~v90(constB32, bitIndex0)) <=> v129(constB32, bitIndex0))) | (~((~v90(constB32, bitIndex0)) <=> v129(constB32, bitIndex0)))),
% 7.11/5.08 inference(tautology,[status(thm)],[])).
% 7.11/5.08 tff(5945,plain,
% 7.11/5.08 (~((~v90(constB32, bitIndex0)) <=> v129(constB32, bitIndex0))),
% 7.11/5.08 inference(unit_resolution,[status(thm)],[5944, 5925])).
% 7.11/5.08 tff(5946,plain,
% 7.11/5.08 (((~v90(constB32, bitIndex0)) <=> v129(constB32, bitIndex0)) | (~v90(constB32, bitIndex0)) | v129(constB32, bitIndex0)),
% 7.11/5.08 inference(tautology,[status(thm)],[])).
% 7.11/5.08 tff(5947,plain,
% 7.11/5.08 (~v90(constB32, bitIndex0)),
% 7.11/5.08 inference(unit_resolution,[status(thm)],[5946, 5945, 5943])).
% 7.11/5.08 tff(5948,plain,
% 7.11/5.08 (((~v90(constB33, bitIndex0)) <=> v90(constB32, bitIndex0)) | (~v90(constB33, bitIndex0)) | v90(constB32, bitIndex0)),
% 7.11/5.08 inference(tautology,[status(thm)],[])).
% 7.11/5.08 tff(5949,plain,
% 7.11/5.08 (~v90(constB33, bitIndex0)),
% 7.11/5.08 inference(unit_resolution,[status(thm)],[5948, 5947, 5933])).
% 7.11/5.08 tff(5950,plain,
% 7.11/5.08 ((((~v90(constB33, bitIndex1)) <=> v90(constB32, bitIndex1)) | ((~v90(constB33, bitIndex2)) <=> v90(constB32, bitIndex2)) | ((~v90(constB33, bitIndex0)) <=> v90(constB32, bitIndex0))) | (~((~v90(constB33, bitIndex1)) <=> v90(constB32, bitIndex1)))),
% 7.11/5.08 inference(tautology,[status(thm)],[])).
% 7.11/5.08 tff(5951,plain,
% 7.11/5.08 (~((~v90(constB33, bitIndex1)) <=> v90(constB32, bitIndex1))),
% 7.11/5.08 inference(unit_resolution,[status(thm)],[5950, 2147])).
% 7.11/5.08 tff(5952,plain,
% 7.11/5.08 ((((~v129(constB32, bitIndex2)) <=> v127(constB31, bitIndex2)) | ((~v129(constB32, bitIndex1)) <=> v127(constB31, bitIndex1)) | ((~v129(constB32, bitIndex0)) <=> v127(constB31, bitIndex0))) | (~((~v129(constB32, bitIndex1)) <=> v127(constB31, bitIndex1)))),
% 7.11/5.08 inference(tautology,[status(thm)],[])).
% 7.11/5.08 tff(5953,plain,
% 7.11/5.08 (~((~v129(constB32, bitIndex1)) <=> v127(constB31, bitIndex1))),
% 7.11/5.08 inference(unit_resolution,[status(thm)],[5952, 2156])).
% 7.11/5.08 tff(5954,plain,
% 7.11/5.08 ((((~v127(constB31, bitIndex2)) <=> v130(constB31, bitIndex2)) | ((~v127(constB31, bitIndex1)) <=> v130(constB31, bitIndex1)) | ((~v127(constB31, bitIndex0)) <=> v130(constB31, bitIndex0))) | (~((~v127(constB31, bitIndex1)) <=> v130(constB31, bitIndex1)))),
% 7.11/5.08 inference(tautology,[status(thm)],[])).
% 7.11/5.08 tff(5955,plain,
% 7.11/5.08 (~((~v127(constB31, bitIndex1)) <=> v130(constB31, bitIndex1))),
% 7.11/5.08 inference(unit_resolution,[status(thm)],[5954, 2170])).
% 7.11/5.08 tff(5956,plain,
% 7.11/5.08 ((v130(constB31, bitIndex1) | v130(constB31, bitIndex0) | (~v130(constB31, bitIndex2))) | (~v130(constB31, bitIndex1))),
% 7.11/5.08 inference(tautology,[status(thm)],[])).
% 7.11/5.08 tff(5957,plain,
% 7.11/5.08 (~v130(constB31, bitIndex1)),
% 7.11/5.08 inference(unit_resolution,[status(thm)],[5956, 5830])).
% 7.11/5.08 tff(5958,plain,
% 7.11/5.08 (((~v127(constB31, bitIndex1)) <=> v130(constB31, bitIndex1)) | (~v127(constB31, bitIndex1)) | v130(constB31, bitIndex1)),
% 7.11/5.08 inference(tautology,[status(thm)],[])).
% 7.11/5.08 tff(5959,plain,
% 7.11/5.08 (~v127(constB31, bitIndex1)),
% 7.11/5.08 inference(unit_resolution,[status(thm)],[5958, 5957, 5955])).
% 7.11/5.08 tff(5960,plain,
% 7.11/5.08 (((~v129(constB32, bitIndex1)) <=> v127(constB31, bitIndex1)) | (~v129(constB32, bitIndex1)) | v127(constB31, bitIndex1)),
% 7.11/5.08 inference(tautology,[status(thm)],[])).
% 7.11/5.08 tff(5961,plain,
% 7.11/5.08 (~v129(constB32, bitIndex1)),
% 7.11/5.08 inference(unit_resolution,[status(thm)],[5960, 5959, 5953])).
% 7.11/5.08 tff(5962,plain,
% 7.11/5.08 ((((~v90(constB32, bitIndex2)) <=> v129(constB32, bitIndex2)) | ((~v90(constB32, bitIndex1)) <=> v129(constB32, bitIndex1)) | ((~v90(constB32, bitIndex0)) <=> v129(constB32, bitIndex0))) | (~((~v90(constB32, bitIndex1)) <=> v129(constB32, bitIndex1)))),
% 7.11/5.08 inference(tautology,[status(thm)],[])).
% 7.11/5.08 tff(5963,plain,
% 7.11/5.08 (~((~v90(constB32, bitIndex1)) <=> v129(constB32, bitIndex1))),
% 7.11/5.08 inference(unit_resolution,[status(thm)],[5962, 5925])).
% 7.11/5.08 tff(5964,plain,
% 7.11/5.08 (((~v90(constB32, bitIndex1)) <=> v129(constB32, bitIndex1)) | (~v90(constB32, bitIndex1)) | v129(constB32, bitIndex1)),
% 7.11/5.08 inference(tautology,[status(thm)],[])).
% 7.11/5.09 tff(5965,plain,
% 7.11/5.09 (~v90(constB32, bitIndex1)),
% 7.11/5.09 inference(unit_resolution,[status(thm)],[5964, 5963, 5961])).
% 7.11/5.09 tff(5966,plain,
% 7.11/5.09 (((~v90(constB33, bitIndex1)) <=> v90(constB32, bitIndex1)) | (~v90(constB33, bitIndex1)) | v90(constB32, bitIndex1)),
% 7.11/5.09 inference(tautology,[status(thm)],[])).
% 7.11/5.09 tff(5967,plain,
% 7.11/5.09 (~v90(constB33, bitIndex1)),
% 7.11/5.09 inference(unit_resolution,[status(thm)],[5966, 5965, 5951])).
% 7.11/5.09 tff(5968,plain,
% 7.11/5.09 ((~(v90(constB33, bitIndex1) | v90(constB33, bitIndex0) | (~v90(constB33, bitIndex2)))) | v90(constB33, bitIndex1) | v90(constB33, bitIndex0) | (~v90(constB33, bitIndex2))),
% 7.11/5.09 inference(tautology,[status(thm)],[])).
% 7.11/5.09 tff(5969,plain,
% 7.11/5.09 (~(v90(constB33, bitIndex1) | v90(constB33, bitIndex0) | (~v90(constB33, bitIndex2)))),
% 7.11/5.09 inference(unit_resolution,[status(thm)],[5968, 5967, 5949, 5931])).
% 7.11/5.09 tff(5970,plain,
% 7.11/5.09 ((~(v123(constB33) <=> (~(v90(constB33, bitIndex1) | v90(constB33, bitIndex0) | (~v90(constB33, bitIndex2)))))) | v123(constB33) | (v90(constB33, bitIndex1) | v90(constB33, bitIndex0) | (~v90(constB33, bitIndex2)))),
% 7.11/5.09 inference(tautology,[status(thm)],[])).
% 7.11/5.09 tff(5971,plain,
% 7.11/5.09 (v123(constB33)),
% 7.11/5.09 inference(unit_resolution,[status(thm)],[5970, 5969, 2113])).
% 7.11/5.09 tff(5972,plain,
% 7.11/5.09 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | ((~v123(constB33)) | (~(v130(constB33, bitIndex0) | (~v130(constB33, bitIndex2)) | (~v130(constB33, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | (~v123(constB33)) | (~(v130(constB33, bitIndex0) | (~v130(constB33, bitIndex2)) | (~v130(constB33, bitIndex1)))))),
% 7.11/5.09 inference(rewrite,[status(thm)],[])).
% 7.11/5.09 tff(5973,plain,
% 7.11/5.09 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | ((~v123(constB33)) | (~(v130(constB33, bitIndex0) | (~v130(constB33, bitIndex2)) | (~v130(constB33, bitIndex1)))))),
% 7.11/5.09 inference(quant_inst,[status(thm)],[])).
% 7.11/5.09 tff(5974,plain,
% 7.11/5.09 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | (~v123(constB33)) | (~(v130(constB33, bitIndex0) | (~v130(constB33, bitIndex2)) | (~v130(constB33, bitIndex1))))),
% 7.11/5.09 inference(modus_ponens,[status(thm)],[5973, 5972])).
% 7.11/5.09 tff(5975,plain,
% 7.11/5.09 ((~v123(constB33)) | (~(v130(constB33, bitIndex0) | (~v130(constB33, bitIndex2)) | (~v130(constB33, bitIndex1))))),
% 7.11/5.09 inference(unit_resolution,[status(thm)],[5974, 3496])).
% 7.11/5.09 tff(5976,plain,
% 7.11/5.09 (~(v130(constB33, bitIndex0) | (~v130(constB33, bitIndex2)) | (~v130(constB33, bitIndex1)))),
% 7.11/5.09 inference(unit_resolution,[status(thm)],[5975, 5971])).
% 7.11/5.09 tff(5977,plain,
% 7.11/5.09 ((v130(constB33, bitIndex0) | (~v130(constB33, bitIndex2)) | (~v130(constB33, bitIndex1))) | (~v130(constB33, bitIndex0))),
% 7.11/5.09 inference(tautology,[status(thm)],[])).
% 7.11/5.09 tff(5978,plain,
% 7.11/5.09 (~v130(constB33, bitIndex0)),
% 7.11/5.09 inference(unit_resolution,[status(thm)],[5977, 5976])).
% 7.11/5.09 tff(5979,plain,
% 7.11/5.09 (((~v127(constB33, bitIndex0)) <=> v130(constB33, bitIndex0)) | (~v127(constB33, bitIndex0)) | v130(constB33, bitIndex0)),
% 7.11/5.09 inference(tautology,[status(thm)],[])).
% 7.11/5.09 tff(5980,plain,
% 7.11/5.09 (~v127(constB33, bitIndex0)),
% 7.11/5.09 inference(unit_resolution,[status(thm)],[5979, 5978, 2106])).
% 7.11/5.09 tff(5981,plain,
% 7.11/5.09 (((~v129(constB34, bitIndex0)) <=> v127(constB33, bitIndex0)) | (~v129(constB34, bitIndex0)) | v127(constB33, bitIndex0)),
% 7.11/5.09 inference(tautology,[status(thm)],[])).
% 7.11/5.09 tff(5982,plain,
% 7.11/5.09 (~v129(constB34, bitIndex0)),
% 7.11/5.09 inference(unit_resolution,[status(thm)],[5981, 5980, 2092])).
% 7.11/5.09 tff(5983,plain,
% 7.11/5.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB33, constB34)) | (v100(constB34) <=> (~((~v101(constB34)) | (~v110(constB34))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB33, constB34)) | (v100(constB34) <=> (~((~v101(constB34)) | (~v110(constB34))))))),
% 7.11/5.09 inference(rewrite,[status(thm)],[])).
% 7.11/5.09 tff(5984,plain,
% 7.11/5.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB33, constB34)) | (v100(constB34) <=> (~((~v101(constB34)) | (~v110(constB34))))))),
% 7.11/5.09 inference(quant_inst,[status(thm)],[])).
% 7.11/5.09 tff(5985,plain,
% 7.11/5.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB33, constB34)) | (v100(constB34) <=> (~((~v101(constB34)) | (~v110(constB34)))))),
% 7.11/5.09 inference(modus_ponens,[status(thm)],[5984, 5983])).
% 7.11/5.09 tff(5986,plain,
% 7.11/5.09 (v100(constB34) <=> (~((~v101(constB34)) | (~v110(constB34))))),
% 7.11/5.09 inference(unit_resolution,[status(thm)],[5985, 2086, 445])).
% 7.11/5.09 tff(5987,plain,
% 7.11/5.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB33, constB34)) | (v101(constB34) <=> (~((~v1(constB34)) | (~v102(constB34))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB33, constB34)) | (v101(constB34) <=> (~((~v1(constB34)) | (~v102(constB34))))))),
% 7.11/5.09 inference(rewrite,[status(thm)],[])).
% 7.11/5.09 tff(5988,plain,
% 7.11/5.09 (((~nextState(constB33, constB34)) | (v101(constB34) <=> (~((~v102(constB34)) | (~v1(constB34)))))) <=> ((~nextState(constB33, constB34)) | (v101(constB34) <=> (~((~v1(constB34)) | (~v102(constB34))))))),
% 7.11/5.09 inference(rewrite,[status(thm)],[])).
% 7.11/5.09 tff(5989,plain,
% 7.11/5.09 (((~![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) <=> (~((~v1(constB34)) | (~v102(constB34)))))))),
% 7.11/5.09 inference(monotonicity,[status(thm)],[5988])).
% 7.11/5.09 tff(5990,plain,
% 7.11/5.09 (((~![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) <=> (~((~v1(constB34)) | (~v102(constB34))))))),
% 7.11/5.09 inference(transitivity,[status(thm)],[5989, 5987])).
% 7.11/5.09 tff(5991,plain,
% 7.11/5.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB33, constB34)) | (v101(constB34) <=> (~((~v102(constB34)) | (~v1(constB34))))))),
% 7.11/5.09 inference(quant_inst,[status(thm)],[])).
% 7.11/5.09 tff(5992,plain,
% 7.11/5.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB33, constB34)) | (v101(constB34) <=> (~((~v1(constB34)) | (~v102(constB34)))))),
% 7.11/5.09 inference(modus_ponens,[status(thm)],[5991, 5990])).
% 7.11/5.09 tff(5993,plain,
% 7.11/5.09 (v101(constB34) <=> (~((~v1(constB34)) | (~v102(constB34))))),
% 7.11/5.09 inference(unit_resolution,[status(thm)],[5992, 2086, 465])).
% 7.11/5.09 tff(5994,plain,
% 7.11/5.09 (((~![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)))),
% 7.11/5.09 inference(rewrite,[status(thm)],[])).
% 7.11/5.09 tff(5995,plain,
% 7.11/5.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB33, constB34)) | ((~v102(constB34)) <=> v104(constB34)))),
% 7.11/5.09 inference(quant_inst,[status(thm)],[])).
% 7.11/5.09 tff(5996,plain,
% 7.11/5.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB33, constB34)) | ((~v102(constB34)) <=> v104(constB34))),
% 7.11/5.09 inference(modus_ponens,[status(thm)],[5995, 5994])).
% 7.11/5.09 tff(5997,plain,
% 7.11/5.09 ((~v102(constB34)) <=> v104(constB34)),
% 7.11/5.09 inference(unit_resolution,[status(thm)],[5996, 2086, 3244])).
% 7.11/5.09 tff(5998,plain,
% 7.11/5.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB33, constB34)) | (v104(constB34) <=> v1(constB33)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB33, constB34)) | (v104(constB34) <=> v1(constB33)))),
% 7.11/5.09 inference(rewrite,[status(thm)],[])).
% 7.11/5.09 tff(5999,plain,
% 7.11/5.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB33, constB34)) | (v104(constB34) <=> v1(constB33)))),
% 7.11/5.09 inference(quant_inst,[status(thm)],[])).
% 7.11/5.09 tff(6000,plain,
% 7.11/5.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB33, constB34)) | (v104(constB34) <=> v1(constB33))),
% 7.11/5.09 inference(modus_ponens,[status(thm)],[5999, 5998])).
% 7.11/5.09 tff(6001,plain,
% 7.11/5.09 (v104(constB34) <=> v1(constB33)),
% 7.11/5.09 inference(unit_resolution,[status(thm)],[6000, 2086, 3258])).
% 7.11/5.09 tff(6002,plain,
% 7.11/5.09 ((~(v104(constB34) <=> v1(constB33))) | (~v104(constB34)) | v1(constB33)),
% 7.11/5.09 inference(tautology,[status(thm)],[])).
% 7.11/5.09 tff(6003,plain,
% 7.11/5.09 ((~(v104(constB34) <=> v1(constB33))) | (~v104(constB34))),
% 7.11/5.09 inference(unit_resolution,[status(thm)],[6002, 2130])).
% 7.11/5.09 tff(6004,plain,
% 7.11/5.09 (~v104(constB34)),
% 7.11/5.09 inference(unit_resolution,[status(thm)],[6003, 6001])).
% 7.11/5.09 tff(6005,plain,
% 7.11/5.09 ((~((~v102(constB34)) <=> v104(constB34))) | v102(constB34) | v104(constB34)),
% 7.11/5.09 inference(tautology,[status(thm)],[])).
% 7.11/5.09 tff(6006,plain,
% 7.11/5.09 (v102(constB34)),
% 7.11/5.09 inference(unit_resolution,[status(thm)],[6005, 6004, 5997])).
% 7.11/5.09 tff(6007,plain,
% 7.11/5.09 (v1(constB34) <=> v1(constB34)),
% 7.11/5.09 inference(rewrite,[status(thm)],[])).
% 7.11/5.09 tff(6008,axiom,(v1(constB34)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_34')).
% 7.11/5.09 tff(6009,plain,
% 7.11/5.09 (v1(constB34)),
% 7.11/5.09 inference(modus_ponens,[status(thm)],[6008, 6007])).
% 7.11/5.09 tff(6010,plain,
% 7.11/5.09 ((~((~v1(constB34)) | (~v102(constB34)))) | (~v1(constB34)) | (~v102(constB34))),
% 7.11/5.09 inference(tautology,[status(thm)],[])).
% 7.11/5.09 tff(6011,plain,
% 7.11/5.09 ((~((~v1(constB34)) | (~v102(constB34)))) | (~v102(constB34))),
% 7.11/5.09 inference(unit_resolution,[status(thm)],[6010, 6009])).
% 7.11/5.09 tff(6012,plain,
% 7.11/5.09 (~((~v1(constB34)) | (~v102(constB34)))),
% 7.11/5.09 inference(unit_resolution,[status(thm)],[6011, 6006])).
% 7.11/5.09 tff(6013,plain,
% 7.11/5.09 ((~(v101(constB34) <=> (~((~v1(constB34)) | (~v102(constB34)))))) | v101(constB34) | ((~v1(constB34)) | (~v102(constB34)))),
% 7.11/5.09 inference(tautology,[status(thm)],[])).
% 7.11/5.09 tff(6014,plain,
% 7.11/5.09 (v101(constB34)),
% 7.11/5.09 inference(unit_resolution,[status(thm)],[6013, 6012, 5993])).
% 7.11/5.09 tff(6015,plain,
% 7.11/5.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB33, constB34)) | (v110(constB34) <=> v108(constB33)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB33, constB34)) | (v110(constB34) <=> v108(constB33)))),
% 7.11/5.09 inference(rewrite,[status(thm)],[])).
% 7.11/5.09 tff(6016,plain,
% 7.11/5.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB33, constB34)) | (v110(constB34) <=> v108(constB33)))),
% 7.11/5.09 inference(quant_inst,[status(thm)],[])).
% 7.11/5.09 tff(6017,plain,
% 7.11/5.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB33, constB34)) | (v110(constB34) <=> v108(constB33))),
% 7.11/5.09 inference(modus_ponens,[status(thm)],[6016, 6015])).
% 7.11/5.09 tff(6018,plain,
% 7.11/5.09 (v110(constB34) <=> v108(constB33)),
% 7.11/5.09 inference(unit_resolution,[status(thm)],[6017, 2086, 3285])).
% 7.11/5.09 tff(6019,plain,
% 7.11/5.09 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB33) <=> (v111(constB33) | v112(constB33)))),
% 7.11/5.09 inference(quant_inst,[status(thm)],[])).
% 7.11/5.09 tff(6020,plain,
% 7.11/5.09 (v108(constB33) <=> (v111(constB33) | v112(constB33))),
% 7.11/5.09 inference(unit_resolution,[status(thm)],[6019, 3296])).
% 7.11/5.09 tff(6021,plain,
% 7.11/5.09 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB33) <=> (~((~v113(constB33)) | (~v126(constB33)))))),
% 7.11/5.09 inference(quant_inst,[status(thm)],[])).
% 7.11/5.09 tff(6022,plain,
% 7.11/5.09 (v112(constB33) <=> (~((~v113(constB33)) | (~v126(constB33))))),
% 7.11/5.09 inference(unit_resolution,[status(thm)],[6021, 3308])).
% 7.11/5.09 tff(6023,plain,
% 7.11/5.09 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB33) <=> (v114(constB33) | v125(constB33)))),
% 7.11/5.09 inference(quant_inst,[status(thm)],[])).
% 7.11/5.09 tff(6024,plain,
% 7.11/5.09 (v113(constB33) <=> (v114(constB33) | v125(constB33))),
% 7.11/5.09 inference(unit_resolution,[status(thm)],[6023, 3317])).
% 7.11/5.09 tff(6025,plain,
% 7.11/5.09 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB33) <=> (v115(constB33) | v124(constB33)))),
% 7.11/5.09 inference(quant_inst,[status(thm)],[])).
% 7.11/5.09 tff(6026,plain,
% 7.11/5.09 (v114(constB33) <=> (v115(constB33) | v124(constB33))),
% 7.11/5.09 inference(unit_resolution,[status(thm)],[6025, 3326])).
% 7.11/5.09 tff(6027,plain,
% 7.11/5.09 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB33) <=> (v116(constB33) | v123(constB33)))),
% 7.11/5.09 inference(quant_inst,[status(thm)],[])).
% 7.11/5.09 tff(6028,plain,
% 7.11/5.09 (v115(constB33) <=> (v116(constB33) | v123(constB33))),
% 7.11/5.09 inference(unit_resolution,[status(thm)],[6027, 3335])).
% 7.11/5.09 tff(6029,plain,
% 7.11/5.09 ((v116(constB33) | v123(constB33)) | (~v123(constB33))),
% 7.11/5.09 inference(tautology,[status(thm)],[])).
% 7.11/5.09 tff(6030,plain,
% 7.11/5.09 (v116(constB33) | v123(constB33)),
% 7.11/5.09 inference(unit_resolution,[status(thm)],[6029, 5971])).
% 7.11/5.09 tff(6031,plain,
% 7.11/5.09 ((~(v115(constB33) <=> (v116(constB33) | v123(constB33)))) | v115(constB33) | (~(v116(constB33) | v123(constB33)))),
% 7.11/5.09 inference(tautology,[status(thm)],[])).
% 7.11/5.09 tff(6032,plain,
% 7.11/5.09 (v115(constB33)),
% 7.11/5.09 inference(unit_resolution,[status(thm)],[6031, 6030, 6028])).
% 7.11/5.09 tff(6033,plain,
% 7.11/5.09 ((v115(constB33) | v124(constB33)) | (~v115(constB33))),
% 7.11/5.09 inference(tautology,[status(thm)],[])).
% 7.11/5.09 tff(6034,plain,
% 7.11/5.09 (v115(constB33) | v124(constB33)),
% 7.11/5.09 inference(unit_resolution,[status(thm)],[6033, 6032])).
% 7.11/5.09 tff(6035,plain,
% 7.11/5.09 ((~(v114(constB33) <=> (v115(constB33) | v124(constB33)))) | v114(constB33) | (~(v115(constB33) | v124(constB33)))),
% 7.11/5.09 inference(tautology,[status(thm)],[])).
% 7.11/5.09 tff(6036,plain,
% 7.11/5.09 (v114(constB33)),
% 7.11/5.09 inference(unit_resolution,[status(thm)],[6035, 6034, 6026])).
% 7.11/5.09 tff(6037,plain,
% 7.11/5.09 ((v114(constB33) | v125(constB33)) | (~v114(constB33))),
% 7.11/5.09 inference(tautology,[status(thm)],[])).
% 7.11/5.09 tff(6038,plain,
% 7.11/5.09 (v114(constB33) | v125(constB33)),
% 7.11/5.09 inference(unit_resolution,[status(thm)],[6037, 6036])).
% 7.11/5.09 tff(6039,plain,
% 7.11/5.09 ((~(v113(constB33) <=> (v114(constB33) | v125(constB33)))) | v113(constB33) | (~(v114(constB33) | v125(constB33)))),
% 7.11/5.09 inference(tautology,[status(thm)],[])).
% 7.11/5.09 tff(6040,plain,
% 7.11/5.09 (v113(constB33)),
% 7.11/5.09 inference(unit_resolution,[status(thm)],[6039, 6038, 6024])).
% 7.11/5.09 tff(6041,plain,
% 7.11/5.09 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB33)) <=> v111(constB33))),
% 7.11/5.09 inference(quant_inst,[status(thm)],[])).
% 7.11/5.09 tff(6042,plain,
% 7.11/5.09 ((~v126(constB33)) <=> v111(constB33)),
% 7.11/5.09 inference(unit_resolution,[status(thm)],[6041, 3396])).
% 7.11/5.09 tff(6043,plain,
% 7.11/5.09 ((~((~v126(constB33)) <=> v111(constB33))) | v126(constB33) | v111(constB33)),
% 7.11/5.09 inference(tautology,[status(thm)],[])).
% 7.11/5.09 tff(6044,plain,
% 7.11/5.09 ((~((~v126(constB33)) <=> v111(constB33))) | v126(constB33)),
% 7.11/5.09 inference(unit_resolution,[status(thm)],[6043, 2099])).
% 7.11/5.09 tff(6045,plain,
% 7.11/5.09 (v126(constB33)),
% 7.11/5.09 inference(unit_resolution,[status(thm)],[6044, 6042])).
% 7.11/5.09 tff(6046,plain,
% 7.11/5.09 ((~((~v113(constB33)) | (~v126(constB33)))) | (~v113(constB33)) | (~v126(constB33))),
% 7.11/5.09 inference(tautology,[status(thm)],[])).
% 7.11/5.09 tff(6047,plain,
% 7.11/5.09 ((~((~v113(constB33)) | (~v126(constB33)))) | (~v113(constB33))),
% 7.11/5.09 inference(unit_resolution,[status(thm)],[6046, 6045])).
% 7.11/5.09 tff(6048,plain,
% 7.11/5.09 (~((~v113(constB33)) | (~v126(constB33)))),
% 7.11/5.09 inference(unit_resolution,[status(thm)],[6047, 6040])).
% 7.11/5.09 tff(6049,plain,
% 7.11/5.09 ((~(v112(constB33) <=> (~((~v113(constB33)) | (~v126(constB33)))))) | v112(constB33) | ((~v113(constB33)) | (~v126(constB33)))),
% 7.11/5.09 inference(tautology,[status(thm)],[])).
% 7.11/5.09 tff(6050,plain,
% 7.11/5.09 (v112(constB33)),
% 7.11/5.09 inference(unit_resolution,[status(thm)],[6049, 6048, 6022])).
% 7.11/5.09 tff(6051,plain,
% 7.11/5.09 ((v111(constB33) | v112(constB33)) | (~v112(constB33))),
% 7.11/5.09 inference(tautology,[status(thm)],[])).
% 7.11/5.09 tff(6052,plain,
% 7.11/5.09 (v111(constB33) | v112(constB33)),
% 7.11/5.09 inference(unit_resolution,[status(thm)],[6051, 6050])).
% 7.11/5.09 tff(6053,plain,
% 7.11/5.09 ((~(v108(constB33) <=> (v111(constB33) | v112(constB33)))) | v108(constB33) | (~(v111(constB33) | v112(constB33)))),
% 7.11/5.09 inference(tautology,[status(thm)],[])).
% 7.11/5.09 tff(6054,plain,
% 7.11/5.09 (v108(constB33)),
% 7.11/5.09 inference(unit_resolution,[status(thm)],[6053, 6052, 6020])).
% 7.11/5.09 tff(6055,plain,
% 7.11/5.09 ((~(v110(constB34) <=> v108(constB33))) | v110(constB34) | (~v108(constB33))),
% 7.11/5.09 inference(tautology,[status(thm)],[])).
% 7.11/5.09 tff(6056,plain,
% 7.11/5.09 (v110(constB34)),
% 7.11/5.09 inference(unit_resolution,[status(thm)],[6055, 6054, 6018])).
% 7.11/5.09 tff(6057,plain,
% 7.11/5.09 ((~((~v101(constB34)) | (~v110(constB34)))) | (~v101(constB34)) | (~v110(constB34))),
% 7.11/5.09 inference(tautology,[status(thm)],[])).
% 7.11/5.09 tff(6058,plain,
% 7.11/5.09 (~((~v101(constB34)) | (~v110(constB34)))),
% 7.11/5.09 inference(unit_resolution,[status(thm)],[6057, 6056, 6014])).
% 7.11/5.09 tff(6059,plain,
% 7.11/5.09 ((~(v100(constB34) <=> (~((~v101(constB34)) | (~v110(constB34)))))) | v100(constB34) | ((~v101(constB34)) | (~v110(constB34)))),
% 7.11/5.09 inference(tautology,[status(thm)],[])).
% 7.11/5.09 tff(6060,plain,
% 7.11/5.09 (v100(constB34)),
% 7.11/5.09 inference(unit_resolution,[status(thm)],[6059, 6058, 5986])).
% 7.11/5.09 tff(6061,plain,
% 7.11/5.09 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB34)) | (~(((~v90(constB34, bitIndex0)) <=> v129(constB34, bitIndex0)) | ((~v90(constB34, bitIndex2)) <=> v129(constB34, bitIndex2)) | ((~v90(constB34, bitIndex1)) <=> v129(constB34, bitIndex1)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB34)) | (~(((~v90(constB34, bitIndex0)) <=> v129(constB34, bitIndex0)) | ((~v90(constB34, bitIndex2)) <=> v129(constB34, bitIndex2)) | ((~v90(constB34, bitIndex1)) <=> v129(constB34, bitIndex1)))))),
% 7.11/5.09 inference(rewrite,[status(thm)],[])).
% 7.11/5.09 tff(6062,plain,
% 7.11/5.09 (((~v100(constB34)) | (~(((~v90(constB34, bitIndex2)) <=> v129(constB34, bitIndex2)) | ((~v90(constB34, bitIndex1)) <=> v129(constB34, bitIndex1)) | ((~v90(constB34, bitIndex0)) <=> v129(constB34, bitIndex0))))) <=> ((~v100(constB34)) | (~(((~v90(constB34, bitIndex0)) <=> v129(constB34, bitIndex0)) | ((~v90(constB34, bitIndex2)) <=> v129(constB34, bitIndex2)) | ((~v90(constB34, bitIndex1)) <=> v129(constB34, bitIndex1)))))),
% 7.11/5.09 inference(rewrite,[status(thm)],[])).
% 7.11/5.09 tff(6063,plain,
% 7.11/5.09 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB34)) | (~(((~v90(constB34, bitIndex2)) <=> v129(constB34, bitIndex2)) | ((~v90(constB34, bitIndex1)) <=> v129(constB34, bitIndex1)) | ((~v90(constB34, bitIndex0)) <=> v129(constB34, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB34)) | (~(((~v90(constB34, bitIndex0)) <=> v129(constB34, bitIndex0)) | ((~v90(constB34, bitIndex2)) <=> v129(constB34, bitIndex2)) | ((~v90(constB34, bitIndex1)) <=> v129(constB34, bitIndex1))))))),
% 7.11/5.09 inference(monotonicity,[status(thm)],[6062])).
% 7.11/5.09 tff(6064,plain,
% 7.11/5.09 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB34)) | (~(((~v90(constB34, bitIndex2)) <=> v129(constB34, bitIndex2)) | ((~v90(constB34, bitIndex1)) <=> v129(constB34, bitIndex1)) | ((~v90(constB34, bitIndex0)) <=> v129(constB34, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB34)) | (~(((~v90(constB34, bitIndex0)) <=> v129(constB34, bitIndex0)) | ((~v90(constB34, bitIndex2)) <=> v129(constB34, bitIndex2)) | ((~v90(constB34, bitIndex1)) <=> v129(constB34, bitIndex1)))))),
% 7.11/5.09 inference(transitivity,[status(thm)],[6063, 6061])).
% 7.11/5.09 tff(6065,plain,
% 7.11/5.09 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB34)) | (~(((~v90(constB34, bitIndex2)) <=> v129(constB34, bitIndex2)) | ((~v90(constB34, bitIndex1)) <=> v129(constB34, bitIndex1)) | ((~v90(constB34, bitIndex0)) <=> v129(constB34, bitIndex0)))))),
% 7.11/5.09 inference(quant_inst,[status(thm)],[])).
% 7.11/5.09 tff(6066,plain,
% 7.11/5.09 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB34)) | (~(((~v90(constB34, bitIndex0)) <=> v129(constB34, bitIndex0)) | ((~v90(constB34, bitIndex2)) <=> v129(constB34, bitIndex2)) | ((~v90(constB34, bitIndex1)) <=> v129(constB34, bitIndex1))))),
% 7.11/5.09 inference(modus_ponens,[status(thm)],[6065, 6064])).
% 7.11/5.09 tff(6067,plain,
% 7.11/5.09 ((~v100(constB34)) | (~(((~v90(constB34, bitIndex0)) <=> v129(constB34, bitIndex0)) | ((~v90(constB34, bitIndex2)) <=> v129(constB34, bitIndex2)) | ((~v90(constB34, bitIndex1)) <=> v129(constB34, bitIndex1))))),
% 7.11/5.09 inference(unit_resolution,[status(thm)],[6066, 3429])).
% 7.11/5.09 tff(6068,plain,
% 7.11/5.09 (~(((~v90(constB34, bitIndex0)) <=> v129(constB34, bitIndex0)) | ((~v90(constB34, bitIndex2)) <=> v129(constB34, bitIndex2)) | ((~v90(constB34, bitIndex1)) <=> v129(constB34, bitIndex1)))),
% 7.11/5.09 inference(unit_resolution,[status(thm)],[6067, 6060])).
% 7.11/5.09 tff(6069,plain,
% 7.11/5.09 ((((~v90(constB34, bitIndex0)) <=> v129(constB34, bitIndex0)) | ((~v90(constB34, bitIndex2)) <=> v129(constB34, bitIndex2)) | ((~v90(constB34, bitIndex1)) <=> v129(constB34, bitIndex1))) | (~((~v90(constB34, bitIndex0)) <=> v129(constB34, bitIndex0)))),
% 7.11/5.09 inference(tautology,[status(thm)],[])).
% 7.11/5.09 tff(6070,plain,
% 7.11/5.09 (~((~v90(constB34, bitIndex0)) <=> v129(constB34, bitIndex0))),
% 7.11/5.09 inference(unit_resolution,[status(thm)],[6069, 6068])).
% 7.11/5.09 tff(6071,plain,
% 7.11/5.09 (((~v90(constB34, bitIndex0)) <=> v129(constB34, bitIndex0)) | (~v90(constB34, bitIndex0)) | v129(constB34, bitIndex0)),
% 7.11/5.09 inference(tautology,[status(thm)],[])).
% 7.11/5.09 tff(6072,plain,
% 7.11/5.09 (~v90(constB34, bitIndex0)),
% 7.11/5.09 inference(unit_resolution,[status(thm)],[6071, 6070, 5982])).
% 7.11/5.09 tff(6073,plain,
% 7.11/5.09 (((~v90(constB35, bitIndex0)) <=> v90(constB34, bitIndex0)) | (~v90(constB35, bitIndex0)) | v90(constB34, bitIndex0)),
% 7.11/5.09 inference(tautology,[status(thm)],[])).
% 7.11/5.09 tff(6074,plain,
% 7.11/5.09 (~v90(constB35, bitIndex0)),
% 7.11/5.09 inference(unit_resolution,[status(thm)],[6073, 6072, 2083])).
% 7.11/5.09 tff(6075,plain,
% 7.11/5.09 ((v90(constB35, bitIndex1) | v90(constB35, bitIndex2) | (~v90(constB35, bitIndex0))) | v90(constB35, bitIndex0)),
% 7.11/5.09 inference(tautology,[status(thm)],[])).
% 7.11/5.09 tff(6076,plain,
% 7.11/5.09 (v90(constB35, bitIndex1) | v90(constB35, bitIndex2) | (~v90(constB35, bitIndex0))),
% 7.11/5.09 inference(unit_resolution,[status(thm)],[6075, 6074])).
% 7.11/5.09 tff(6077,plain,
% 7.11/5.09 ((~(v120(constB35) <=> (~(v90(constB35, bitIndex1) | v90(constB35, bitIndex2) | (~v90(constB35, bitIndex0)))))) | (~v120(constB35)) | (~(v90(constB35, bitIndex1) | v90(constB35, bitIndex2) | (~v90(constB35, bitIndex0))))),
% 7.11/5.09 inference(tautology,[status(thm)],[])).
% 7.11/5.09 tff(6078,plain,
% 7.11/5.09 (~v120(constB35)),
% 7.11/5.09 inference(unit_resolution,[status(thm)],[6077, 6076, 2047])).
% 7.11/5.09 tff(6079,plain,
% 7.11/5.09 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB35) <=> (~(v90(constB35, bitIndex1) | (~v90(constB35, bitIndex2)) | (~v90(constB35, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB35) <=> (~(v90(constB35, bitIndex1) | (~v90(constB35, bitIndex2)) | (~v90(constB35, bitIndex0))))))),
% 7.11/5.09 inference(rewrite,[status(thm)],[])).
% 7.11/5.09 tff(6080,plain,
% 7.11/5.09 ((v124(constB35) <=> (~(v90(constB35, bitIndex1) | (~v90(constB35, bitIndex0)) | (~v90(constB35, bitIndex2))))) <=> (v124(constB35) <=> (~(v90(constB35, bitIndex1) | (~v90(constB35, bitIndex2)) | (~v90(constB35, bitIndex0)))))),
% 7.11/5.09 inference(rewrite,[status(thm)],[])).
% 7.11/5.09 tff(6081,plain,
% 7.11/5.09 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB35) <=> (~(v90(constB35, bitIndex1) | (~v90(constB35, bitIndex0)) | (~v90(constB35, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB35) <=> (~(v90(constB35, bitIndex1) | (~v90(constB35, bitIndex2)) | (~v90(constB35, bitIndex0))))))),
% 7.11/5.09 inference(monotonicity,[status(thm)],[6080])).
% 7.11/5.09 tff(6082,plain,
% 7.11/5.09 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB35) <=> (~(v90(constB35, bitIndex1) | (~v90(constB35, bitIndex0)) | (~v90(constB35, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB35) <=> (~(v90(constB35, bitIndex1) | (~v90(constB35, bitIndex2)) | (~v90(constB35, bitIndex0))))))),
% 7.11/5.09 inference(transitivity,[status(thm)],[6081, 6079])).
% 7.11/5.09 tff(6083,plain,
% 7.11/5.09 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB35) <=> (~(v90(constB35, bitIndex1) | (~v90(constB35, bitIndex0)) | (~v90(constB35, bitIndex2)))))),
% 7.11/5.09 inference(quant_inst,[status(thm)],[])).
% 7.11/5.09 tff(6084,plain,
% 7.11/5.09 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB35) <=> (~(v90(constB35, bitIndex1) | (~v90(constB35, bitIndex2)) | (~v90(constB35, bitIndex0)))))),
% 7.11/5.09 inference(modus_ponens,[status(thm)],[6083, 6082])).
% 7.11/5.09 tff(6085,plain,
% 7.11/5.09 (v124(constB35) <=> (~(v90(constB35, bitIndex1) | (~v90(constB35, bitIndex2)) | (~v90(constB35, bitIndex0))))),
% 7.11/5.09 inference(unit_resolution,[status(thm)],[6084, 3613])).
% 7.11/5.09 tff(6086,plain,
% 7.11/5.09 ((v90(constB35, bitIndex1) | (~v90(constB35, bitIndex2)) | (~v90(constB35, bitIndex0))) | v90(constB35, bitIndex0)),
% 7.11/5.09 inference(tautology,[status(thm)],[])).
% 7.11/5.09 tff(6087,plain,
% 7.11/5.09 (v90(constB35, bitIndex1) | (~v90(constB35, bitIndex2)) | (~v90(constB35, bitIndex0))),
% 7.11/5.09 inference(unit_resolution,[status(thm)],[6086, 6074])).
% 7.11/5.09 tff(6088,plain,
% 7.11/5.09 ((~(v124(constB35) <=> (~(v90(constB35, bitIndex1) | (~v90(constB35, bitIndex2)) | (~v90(constB35, bitIndex0)))))) | (~v124(constB35)) | (~(v90(constB35, bitIndex1) | (~v90(constB35, bitIndex2)) | (~v90(constB35, bitIndex0))))),
% 7.11/5.09 inference(tautology,[status(thm)],[])).
% 7.11/5.09 tff(6089,plain,
% 7.11/5.09 (~v124(constB35)),
% 7.11/5.09 inference(unit_resolution,[status(thm)],[6088, 6087, 6085])).
% 7.11/5.09 tff(6090,plain,
% 7.11/5.09 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB35) <=> (~(v90(constB35, bitIndex1) | v90(constB35, bitIndex0) | (~v90(constB35, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB35) <=> (~(v90(constB35, bitIndex1) | v90(constB35, bitIndex0) | (~v90(constB35, bitIndex2))))))),
% 7.11/5.09 inference(rewrite,[status(thm)],[])).
% 7.11/5.09 tff(6091,plain,
% 7.11/5.09 ((v123(constB35) <=> (~(v90(constB35, bitIndex0) | v90(constB35, bitIndex1) | (~v90(constB35, bitIndex2))))) <=> (v123(constB35) <=> (~(v90(constB35, bitIndex1) | v90(constB35, bitIndex0) | (~v90(constB35, bitIndex2)))))),
% 7.11/5.09 inference(rewrite,[status(thm)],[])).
% 7.11/5.09 tff(6092,plain,
% 7.11/5.09 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB35) <=> (~(v90(constB35, bitIndex0) | v90(constB35, bitIndex1) | (~v90(constB35, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB35) <=> (~(v90(constB35, bitIndex1) | v90(constB35, bitIndex0) | (~v90(constB35, bitIndex2))))))),
% 7.11/5.09 inference(monotonicity,[status(thm)],[6091])).
% 7.11/5.09 tff(6093,plain,
% 7.11/5.09 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB35) <=> (~(v90(constB35, bitIndex0) | v90(constB35, bitIndex1) | (~v90(constB35, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB35) <=> (~(v90(constB35, bitIndex1) | v90(constB35, bitIndex0) | (~v90(constB35, bitIndex2))))))),
% 7.11/5.09 inference(transitivity,[status(thm)],[6092, 6090])).
% 7.11/5.09 tff(6094,plain,
% 7.11/5.09 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB35) <=> (~(v90(constB35, bitIndex0) | v90(constB35, bitIndex1) | (~v90(constB35, bitIndex2)))))),
% 7.11/5.09 inference(quant_inst,[status(thm)],[])).
% 7.11/5.09 tff(6095,plain,
% 7.11/5.09 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB35) <=> (~(v90(constB35, bitIndex1) | v90(constB35, bitIndex0) | (~v90(constB35, bitIndex2)))))),
% 7.11/5.09 inference(modus_ponens,[status(thm)],[6094, 6093])).
% 7.11/5.09 tff(6096,plain,
% 7.11/5.09 (v123(constB35) <=> (~(v90(constB35, bitIndex1) | v90(constB35, bitIndex0) | (~v90(constB35, bitIndex2))))),
% 7.11/5.09 inference(unit_resolution,[status(thm)],[6095, 800])).
% 7.11/5.09 tff(6097,plain,
% 7.11/5.09 ((((~v90(constB35, bitIndex1)) <=> v90(constB34, bitIndex1)) | ((~v90(constB35, bitIndex2)) <=> v90(constB34, bitIndex2)) | ((~v90(constB35, bitIndex0)) <=> v90(constB34, bitIndex0))) | (~((~v90(constB35, bitIndex1)) <=> v90(constB34, bitIndex1)))),
% 7.11/5.09 inference(tautology,[status(thm)],[])).
% 7.11/5.09 tff(6098,plain,
% 7.11/5.09 (~((~v90(constB35, bitIndex1)) <=> v90(constB34, bitIndex1))),
% 7.11/5.09 inference(unit_resolution,[status(thm)],[6097, 2081])).
% 7.11/5.09 tff(6099,plain,
% 7.11/5.09 ((((~v129(constB34, bitIndex2)) <=> v127(constB33, bitIndex2)) | ((~v129(constB34, bitIndex1)) <=> v127(constB33, bitIndex1)) | ((~v129(constB34, bitIndex0)) <=> v127(constB33, bitIndex0))) | (~((~v129(constB34, bitIndex1)) <=> v127(constB33, bitIndex1)))),
% 7.11/5.09 inference(tautology,[status(thm)],[])).
% 7.11/5.09 tff(6100,plain,
% 7.11/5.09 (~((~v129(constB34, bitIndex1)) <=> v127(constB33, bitIndex1))),
% 7.11/5.09 inference(unit_resolution,[status(thm)],[6099, 2090])).
% 7.11/5.09 tff(6101,plain,
% 7.11/5.09 ((((~v127(constB33, bitIndex2)) <=> v130(constB33, bitIndex2)) | ((~v127(constB33, bitIndex1)) <=> v130(constB33, bitIndex1)) | ((~v127(constB33, bitIndex0)) <=> v130(constB33, bitIndex0))) | (~((~v127(constB33, bitIndex1)) <=> v130(constB33, bitIndex1)))),
% 7.11/5.09 inference(tautology,[status(thm)],[])).
% 7.11/5.09 tff(6102,plain,
% 7.11/5.09 (~((~v127(constB33, bitIndex1)) <=> v130(constB33, bitIndex1))),
% 7.11/5.09 inference(unit_resolution,[status(thm)],[6101, 2104])).
% 7.11/5.10 tff(6103,plain,
% 7.11/5.10 ((v130(constB33, bitIndex0) | (~v130(constB33, bitIndex2)) | (~v130(constB33, bitIndex1))) | v130(constB33, bitIndex1)),
% 7.11/5.10 inference(tautology,[status(thm)],[])).
% 7.11/5.10 tff(6104,plain,
% 7.11/5.10 (v130(constB33, bitIndex1)),
% 7.11/5.10 inference(unit_resolution,[status(thm)],[6103, 5976])).
% 7.11/5.10 tff(6105,plain,
% 7.11/5.10 (((~v127(constB33, bitIndex1)) <=> v130(constB33, bitIndex1)) | v127(constB33, bitIndex1) | (~v130(constB33, bitIndex1))),
% 7.11/5.10 inference(tautology,[status(thm)],[])).
% 7.11/5.10 tff(6106,plain,
% 7.11/5.10 (v127(constB33, bitIndex1)),
% 7.11/5.10 inference(unit_resolution,[status(thm)],[6105, 6104, 6102])).
% 7.11/5.10 tff(6107,plain,
% 7.11/5.10 (((~v129(constB34, bitIndex1)) <=> v127(constB33, bitIndex1)) | v129(constB34, bitIndex1) | (~v127(constB33, bitIndex1))),
% 7.11/5.10 inference(tautology,[status(thm)],[])).
% 7.11/5.10 tff(6108,plain,
% 7.11/5.10 (v129(constB34, bitIndex1)),
% 7.11/5.10 inference(unit_resolution,[status(thm)],[6107, 6106, 6100])).
% 7.11/5.10 tff(6109,plain,
% 7.11/5.10 ((((~v90(constB34, bitIndex0)) <=> v129(constB34, bitIndex0)) | ((~v90(constB34, bitIndex2)) <=> v129(constB34, bitIndex2)) | ((~v90(constB34, bitIndex1)) <=> v129(constB34, bitIndex1))) | (~((~v90(constB34, bitIndex1)) <=> v129(constB34, bitIndex1)))),
% 7.11/5.10 inference(tautology,[status(thm)],[])).
% 7.11/5.10 tff(6110,plain,
% 7.11/5.10 (~((~v90(constB34, bitIndex1)) <=> v129(constB34, bitIndex1))),
% 7.11/5.10 inference(unit_resolution,[status(thm)],[6109, 6068])).
% 7.11/5.10 tff(6111,plain,
% 7.11/5.10 (((~v90(constB34, bitIndex1)) <=> v129(constB34, bitIndex1)) | v90(constB34, bitIndex1) | (~v129(constB34, bitIndex1))),
% 7.11/5.10 inference(tautology,[status(thm)],[])).
% 7.11/5.10 tff(6112,plain,
% 7.11/5.10 (v90(constB34, bitIndex1)),
% 7.11/5.10 inference(unit_resolution,[status(thm)],[6111, 6110, 6108])).
% 7.11/5.10 tff(6113,plain,
% 7.11/5.10 (((~v90(constB35, bitIndex1)) <=> v90(constB34, bitIndex1)) | v90(constB35, bitIndex1) | (~v90(constB34, bitIndex1))),
% 7.11/5.10 inference(tautology,[status(thm)],[])).
% 7.11/5.10 tff(6114,plain,
% 7.11/5.10 (v90(constB35, bitIndex1)),
% 7.11/5.10 inference(unit_resolution,[status(thm)],[6113, 6112, 6098])).
% 7.11/5.10 tff(6115,plain,
% 7.11/5.10 ((v90(constB35, bitIndex1) | v90(constB35, bitIndex0) | (~v90(constB35, bitIndex2))) | (~v90(constB35, bitIndex1))),
% 7.11/5.10 inference(tautology,[status(thm)],[])).
% 7.11/5.10 tff(6116,plain,
% 7.11/5.10 (v90(constB35, bitIndex1) | v90(constB35, bitIndex0) | (~v90(constB35, bitIndex2))),
% 7.11/5.10 inference(unit_resolution,[status(thm)],[6115, 6114])).
% 7.11/5.10 tff(6117,plain,
% 7.11/5.10 ((~(v123(constB35) <=> (~(v90(constB35, bitIndex1) | v90(constB35, bitIndex0) | (~v90(constB35, bitIndex2)))))) | (~v123(constB35)) | (~(v90(constB35, bitIndex1) | v90(constB35, bitIndex0) | (~v90(constB35, bitIndex2))))),
% 7.11/5.10 inference(tautology,[status(thm)],[])).
% 7.11/5.10 tff(6118,plain,
% 7.11/5.10 (~v123(constB35)),
% 7.11/5.10 inference(unit_resolution,[status(thm)],[6117, 6116, 6096])).
% 7.11/5.10 tff(6119,plain,
% 7.11/5.10 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB35) <=> (~(v90(constB35, bitIndex2) | (~v90(constB35, bitIndex1)) | (~v90(constB35, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB35) <=> (~(v90(constB35, bitIndex2) | (~v90(constB35, bitIndex1)) | (~v90(constB35, bitIndex0))))))),
% 7.11/5.10 inference(rewrite,[status(thm)],[])).
% 7.11/5.10 tff(6120,plain,
% 7.11/5.10 ((v122(constB35) <=> (~(v90(constB35, bitIndex2) | (~v90(constB35, bitIndex0)) | (~v90(constB35, bitIndex1))))) <=> (v122(constB35) <=> (~(v90(constB35, bitIndex2) | (~v90(constB35, bitIndex1)) | (~v90(constB35, bitIndex0)))))),
% 7.11/5.10 inference(rewrite,[status(thm)],[])).
% 7.11/5.10 tff(6121,plain,
% 7.11/5.10 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB35) <=> (~(v90(constB35, bitIndex2) | (~v90(constB35, bitIndex0)) | (~v90(constB35, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB35) <=> (~(v90(constB35, bitIndex2) | (~v90(constB35, bitIndex1)) | (~v90(constB35, bitIndex0))))))),
% 7.11/5.10 inference(monotonicity,[status(thm)],[6120])).
% 7.11/5.10 tff(6122,plain,
% 7.11/5.10 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB35) <=> (~(v90(constB35, bitIndex2) | (~v90(constB35, bitIndex0)) | (~v90(constB35, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB35) <=> (~(v90(constB35, bitIndex2) | (~v90(constB35, bitIndex1)) | (~v90(constB35, bitIndex0))))))),
% 7.11/5.10 inference(transitivity,[status(thm)],[6121, 6119])).
% 7.11/5.10 tff(6123,plain,
% 7.11/5.10 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB35) <=> (~(v90(constB35, bitIndex2) | (~v90(constB35, bitIndex0)) | (~v90(constB35, bitIndex1)))))),
% 7.11/5.10 inference(quant_inst,[status(thm)],[])).
% 7.11/5.10 tff(6124,plain,
% 7.11/5.10 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB35) <=> (~(v90(constB35, bitIndex2) | (~v90(constB35, bitIndex1)) | (~v90(constB35, bitIndex0)))))),
% 7.11/5.10 inference(modus_ponens,[status(thm)],[6123, 6122])).
% 7.11/5.10 tff(6125,plain,
% 7.11/5.10 (v122(constB35) <=> (~(v90(constB35, bitIndex2) | (~v90(constB35, bitIndex1)) | (~v90(constB35, bitIndex0))))),
% 7.11/5.10 inference(unit_resolution,[status(thm)],[6124, 879])).
% 7.11/5.10 tff(6126,plain,
% 7.11/5.10 ((v90(constB35, bitIndex2) | (~v90(constB35, bitIndex1)) | (~v90(constB35, bitIndex0))) | v90(constB35, bitIndex0)),
% 7.11/5.10 inference(tautology,[status(thm)],[])).
% 7.11/5.10 tff(6127,plain,
% 7.11/5.10 (v90(constB35, bitIndex2) | (~v90(constB35, bitIndex1)) | (~v90(constB35, bitIndex0))),
% 7.11/5.10 inference(unit_resolution,[status(thm)],[6126, 6074])).
% 7.11/5.10 tff(6128,plain,
% 7.11/5.10 ((~(v122(constB35) <=> (~(v90(constB35, bitIndex2) | (~v90(constB35, bitIndex1)) | (~v90(constB35, bitIndex0)))))) | (~v122(constB35)) | (~(v90(constB35, bitIndex2) | (~v90(constB35, bitIndex1)) | (~v90(constB35, bitIndex0))))),
% 7.11/5.10 inference(tautology,[status(thm)],[])).
% 7.11/5.10 tff(6129,plain,
% 7.11/5.10 (~v122(constB35)),
% 7.11/5.10 inference(unit_resolution,[status(thm)],[6128, 6127, 6125])).
% 7.11/5.10 tff(6130,plain,
% 7.11/5.10 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB35) <=> (~(v90(constB35, bitIndex2) | v90(constB35, bitIndex0) | (~v90(constB35, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB35) <=> (~(v90(constB35, bitIndex2) | v90(constB35, bitIndex0) | (~v90(constB35, bitIndex1))))))),
% 7.11/5.10 inference(rewrite,[status(thm)],[])).
% 7.11/5.10 tff(6131,plain,
% 7.11/5.10 ((v121(constB35) <=> (~(v90(constB35, bitIndex0) | v90(constB35, bitIndex2) | (~v90(constB35, bitIndex1))))) <=> (v121(constB35) <=> (~(v90(constB35, bitIndex2) | v90(constB35, bitIndex0) | (~v90(constB35, bitIndex1)))))),
% 7.11/5.10 inference(rewrite,[status(thm)],[])).
% 7.11/5.10 tff(6132,plain,
% 7.11/5.10 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB35) <=> (~(v90(constB35, bitIndex0) | v90(constB35, bitIndex2) | (~v90(constB35, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB35) <=> (~(v90(constB35, bitIndex2) | v90(constB35, bitIndex0) | (~v90(constB35, bitIndex1))))))),
% 7.11/5.10 inference(monotonicity,[status(thm)],[6131])).
% 7.11/5.10 tff(6133,plain,
% 7.11/5.10 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB35) <=> (~(v90(constB35, bitIndex0) | v90(constB35, bitIndex2) | (~v90(constB35, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB35) <=> (~(v90(constB35, bitIndex2) | v90(constB35, bitIndex0) | (~v90(constB35, bitIndex1))))))),
% 7.11/5.10 inference(transitivity,[status(thm)],[6132, 6130])).
% 7.11/5.10 tff(6134,plain,
% 7.11/5.10 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB35) <=> (~(v90(constB35, bitIndex0) | v90(constB35, bitIndex2) | (~v90(constB35, bitIndex1)))))),
% 7.11/5.10 inference(quant_inst,[status(thm)],[])).
% 7.11/5.10 tff(6135,plain,
% 7.11/5.10 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB35) <=> (~(v90(constB35, bitIndex2) | v90(constB35, bitIndex0) | (~v90(constB35, bitIndex1)))))),
% 7.11/5.10 inference(modus_ponens,[status(thm)],[6134, 6133])).
% 7.11/5.10 tff(6136,plain,
% 7.11/5.10 (v121(constB35) <=> (~(v90(constB35, bitIndex2) | v90(constB35, bitIndex0) | (~v90(constB35, bitIndex1))))),
% 7.11/5.10 inference(unit_resolution,[status(thm)],[6135, 586])).
% 7.11/5.10 tff(6137,plain,
% 7.11/5.10 ((((~v90(constB35, bitIndex1)) <=> v90(constB34, bitIndex1)) | ((~v90(constB35, bitIndex2)) <=> v90(constB34, bitIndex2)) | ((~v90(constB35, bitIndex0)) <=> v90(constB34, bitIndex0))) | (~((~v90(constB35, bitIndex2)) <=> v90(constB34, bitIndex2)))),
% 7.11/5.10 inference(tautology,[status(thm)],[])).
% 7.11/5.10 tff(6138,plain,
% 7.11/5.10 (~((~v90(constB35, bitIndex2)) <=> v90(constB34, bitIndex2))),
% 7.11/5.10 inference(unit_resolution,[status(thm)],[6137, 2081])).
% 7.11/5.10 tff(6139,plain,
% 7.11/5.10 ((((~v129(constB34, bitIndex2)) <=> v127(constB33, bitIndex2)) | ((~v129(constB34, bitIndex1)) <=> v127(constB33, bitIndex1)) | ((~v129(constB34, bitIndex0)) <=> v127(constB33, bitIndex0))) | (~((~v129(constB34, bitIndex2)) <=> v127(constB33, bitIndex2)))),
% 7.11/5.10 inference(tautology,[status(thm)],[])).
% 7.11/5.10 tff(6140,plain,
% 7.11/5.10 (~((~v129(constB34, bitIndex2)) <=> v127(constB33, bitIndex2))),
% 7.11/5.10 inference(unit_resolution,[status(thm)],[6139, 2090])).
% 7.11/5.10 tff(6141,plain,
% 7.11/5.10 ((((~v127(constB33, bitIndex2)) <=> v130(constB33, bitIndex2)) | ((~v127(constB33, bitIndex1)) <=> v130(constB33, bitIndex1)) | ((~v127(constB33, bitIndex0)) <=> v130(constB33, bitIndex0))) | (~((~v127(constB33, bitIndex2)) <=> v130(constB33, bitIndex2)))),
% 7.11/5.10 inference(tautology,[status(thm)],[])).
% 7.11/5.10 tff(6142,plain,
% 7.11/5.10 (~((~v127(constB33, bitIndex2)) <=> v130(constB33, bitIndex2))),
% 7.11/5.10 inference(unit_resolution,[status(thm)],[6141, 2104])).
% 7.11/5.10 tff(6143,plain,
% 7.11/5.10 ((v130(constB33, bitIndex0) | (~v130(constB33, bitIndex2)) | (~v130(constB33, bitIndex1))) | v130(constB33, bitIndex2)),
% 7.11/5.10 inference(tautology,[status(thm)],[])).
% 7.11/5.10 tff(6144,plain,
% 7.11/5.10 (v130(constB33, bitIndex2)),
% 7.11/5.10 inference(unit_resolution,[status(thm)],[6143, 5976])).
% 7.11/5.10 tff(6145,plain,
% 7.11/5.10 (((~v127(constB33, bitIndex2)) <=> v130(constB33, bitIndex2)) | v127(constB33, bitIndex2) | (~v130(constB33, bitIndex2))),
% 7.11/5.10 inference(tautology,[status(thm)],[])).
% 7.11/5.10 tff(6146,plain,
% 7.11/5.10 (v127(constB33, bitIndex2)),
% 7.11/5.10 inference(unit_resolution,[status(thm)],[6145, 6144, 6142])).
% 7.11/5.10 tff(6147,plain,
% 7.11/5.10 (((~v129(constB34, bitIndex2)) <=> v127(constB33, bitIndex2)) | v129(constB34, bitIndex2) | (~v127(constB33, bitIndex2))),
% 7.11/5.10 inference(tautology,[status(thm)],[])).
% 7.11/5.10 tff(6148,plain,
% 7.11/5.10 (v129(constB34, bitIndex2)),
% 7.11/5.10 inference(unit_resolution,[status(thm)],[6147, 6146, 6140])).
% 7.11/5.10 tff(6149,plain,
% 7.11/5.10 ((((~v90(constB34, bitIndex0)) <=> v129(constB34, bitIndex0)) | ((~v90(constB34, bitIndex2)) <=> v129(constB34, bitIndex2)) | ((~v90(constB34, bitIndex1)) <=> v129(constB34, bitIndex1))) | (~((~v90(constB34, bitIndex2)) <=> v129(constB34, bitIndex2)))),
% 7.11/5.10 inference(tautology,[status(thm)],[])).
% 7.11/5.10 tff(6150,plain,
% 7.11/5.10 (~((~v90(constB34, bitIndex2)) <=> v129(constB34, bitIndex2))),
% 7.11/5.10 inference(unit_resolution,[status(thm)],[6149, 6068])).
% 7.11/5.10 tff(6151,plain,
% 7.11/5.10 (((~v90(constB34, bitIndex2)) <=> v129(constB34, bitIndex2)) | v90(constB34, bitIndex2) | (~v129(constB34, bitIndex2))),
% 7.11/5.10 inference(tautology,[status(thm)],[])).
% 7.11/5.10 tff(6152,plain,
% 7.11/5.10 (v90(constB34, bitIndex2)),
% 7.11/5.10 inference(unit_resolution,[status(thm)],[6151, 6150, 6148])).
% 7.11/5.10 tff(6153,plain,
% 7.11/5.10 (((~v90(constB35, bitIndex2)) <=> v90(constB34, bitIndex2)) | v90(constB35, bitIndex2) | (~v90(constB34, bitIndex2))),
% 7.11/5.10 inference(tautology,[status(thm)],[])).
% 7.11/5.10 tff(6154,plain,
% 7.11/5.10 (v90(constB35, bitIndex2)),
% 7.11/5.10 inference(unit_resolution,[status(thm)],[6153, 6152, 6138])).
% 7.11/5.10 tff(6155,plain,
% 7.11/5.10 ((v90(constB35, bitIndex2) | v90(constB35, bitIndex0) | (~v90(constB35, bitIndex1))) | (~v90(constB35, bitIndex2))),
% 7.11/5.10 inference(tautology,[status(thm)],[])).
% 7.11/5.10 tff(6156,plain,
% 7.11/5.10 (v90(constB35, bitIndex2) | v90(constB35, bitIndex0) | (~v90(constB35, bitIndex1))),
% 7.11/5.10 inference(unit_resolution,[status(thm)],[6155, 6154])).
% 7.11/5.10 tff(6157,plain,
% 7.11/5.10 ((~(v121(constB35) <=> (~(v90(constB35, bitIndex2) | v90(constB35, bitIndex0) | (~v90(constB35, bitIndex1)))))) | (~v121(constB35)) | (~(v90(constB35, bitIndex2) | v90(constB35, bitIndex0) | (~v90(constB35, bitIndex1))))),
% 7.11/5.10 inference(tautology,[status(thm)],[])).
% 7.11/5.10 tff(6158,plain,
% 7.11/5.10 (~v121(constB35)),
% 7.11/5.10 inference(unit_resolution,[status(thm)],[6157, 6156, 6136])).
% 7.11/5.10 tff(6159,plain,
% 7.11/5.10 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB35) <=> (~(v90(constB35, bitIndex0) | v90(constB35, bitIndex1) | v90(constB35, bitIndex2))))),
% 7.11/5.10 inference(quant_inst,[status(thm)],[])).
% 7.11/5.10 tff(6160,plain,
% 7.11/5.10 (v119(constB35) <=> (~(v90(constB35, bitIndex0) | v90(constB35, bitIndex1) | v90(constB35, bitIndex2)))),
% 7.11/5.10 inference(unit_resolution,[status(thm)],[6159, 1085])).
% 7.11/5.10 tff(6161,plain,
% 7.11/5.10 ((v90(constB35, bitIndex0) | v90(constB35, bitIndex1) | v90(constB35, bitIndex2)) | (~v90(constB35, bitIndex2))),
% 7.11/5.10 inference(tautology,[status(thm)],[])).
% 7.11/5.10 tff(6162,plain,
% 7.11/5.10 (v90(constB35, bitIndex0) | v90(constB35, bitIndex1) | v90(constB35, bitIndex2)),
% 7.11/5.10 inference(unit_resolution,[status(thm)],[6161, 6154])).
% 7.11/5.10 tff(6163,plain,
% 7.11/5.10 ((~(v119(constB35) <=> (~(v90(constB35, bitIndex0) | v90(constB35, bitIndex1) | v90(constB35, bitIndex2))))) | (~v119(constB35)) | (~(v90(constB35, bitIndex0) | v90(constB35, bitIndex1) | v90(constB35, bitIndex2)))),
% 7.11/5.10 inference(tautology,[status(thm)],[])).
% 7.11/5.10 tff(6164,plain,
% 7.11/5.10 (~v119(constB35)),
% 7.11/5.10 inference(unit_resolution,[status(thm)],[6163, 6162, 6160])).
% 7.11/5.10 tff(6165,plain,
% 7.11/5.10 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v119(constB35) | v120(constB35) | v121(constB35) | v122(constB35) | v123(constB35) | v124(constB35) | (~(v130(constB35, bitIndex2) | v130(constB35, bitIndex1) | (~v130(constB35, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | v119(constB35) | v120(constB35) | v121(constB35) | v122(constB35) | v123(constB35) | v124(constB35) | (~(v130(constB35, bitIndex2) | v130(constB35, bitIndex1) | (~v130(constB35, bitIndex0)))))),
% 7.11/5.10 inference(rewrite,[status(thm)],[])).
% 7.11/5.10 tff(6166,plain,
% 7.11/5.10 ((v124(constB35) | v123(constB35) | v122(constB35) | v121(constB35) | v120(constB35) | v119(constB35) | (~(v130(constB35, bitIndex2) | v130(constB35, bitIndex1) | (~v130(constB35, bitIndex0))))) <=> (v119(constB35) | v120(constB35) | v121(constB35) | v122(constB35) | v123(constB35) | v124(constB35) | (~(v130(constB35, bitIndex2) | v130(constB35, bitIndex1) | (~v130(constB35, bitIndex0)))))),
% 7.11/5.10 inference(rewrite,[status(thm)],[])).
% 7.11/5.10 tff(6167,plain,
% 7.11/5.10 ((~(v130(constB35, bitIndex1) | v130(constB35, bitIndex2) | (~v130(constB35, bitIndex0)))) <=> (~(v130(constB35, bitIndex2) | v130(constB35, bitIndex1) | (~v130(constB35, bitIndex0))))),
% 7.11/5.10 inference(rewrite,[status(thm)],[])).
% 7.11/5.10 tff(6168,plain,
% 7.11/5.10 ((v124(constB35) | v123(constB35) | v122(constB35) | v121(constB35) | v120(constB35) | v119(constB35) | (~(v130(constB35, bitIndex1) | v130(constB35, bitIndex2) | (~v130(constB35, bitIndex0))))) <=> (v124(constB35) | v123(constB35) | v122(constB35) | v121(constB35) | v120(constB35) | v119(constB35) | (~(v130(constB35, bitIndex2) | v130(constB35, bitIndex1) | (~v130(constB35, bitIndex0)))))),
% 7.11/5.10 inference(monotonicity,[status(thm)],[6167])).
% 7.11/5.10 tff(6169,plain,
% 7.11/5.10 ((v124(constB35) | v123(constB35) | v122(constB35) | v121(constB35) | v120(constB35) | v119(constB35) | (~(v130(constB35, bitIndex1) | v130(constB35, bitIndex2) | (~v130(constB35, bitIndex0))))) <=> (v119(constB35) | v120(constB35) | v121(constB35) | v122(constB35) | v123(constB35) | v124(constB35) | (~(v130(constB35, bitIndex2) | v130(constB35, bitIndex1) | (~v130(constB35, bitIndex0)))))),
% 7.11/5.10 inference(transitivity,[status(thm)],[6168, 6166])).
% 7.11/5.10 tff(6170,plain,
% 7.11/5.10 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB35) | v123(constB35) | v122(constB35) | v121(constB35) | v120(constB35) | v119(constB35) | (~(v130(constB35, bitIndex1) | v130(constB35, bitIndex2) | (~v130(constB35, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v119(constB35) | v120(constB35) | v121(constB35) | v122(constB35) | v123(constB35) | v124(constB35) | (~(v130(constB35, bitIndex2) | v130(constB35, bitIndex1) | (~v130(constB35, bitIndex0))))))),
% 7.11/5.10 inference(monotonicity,[status(thm)],[6169])).
% 7.11/5.10 tff(6171,plain,
% 7.11/5.10 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB35) | v123(constB35) | v122(constB35) | v121(constB35) | v120(constB35) | v119(constB35) | (~(v130(constB35, bitIndex1) | v130(constB35, bitIndex2) | (~v130(constB35, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | v119(constB35) | v120(constB35) | v121(constB35) | v122(constB35) | v123(constB35) | v124(constB35) | (~(v130(constB35, bitIndex2) | v130(constB35, bitIndex1) | (~v130(constB35, bitIndex0)))))),
% 7.11/5.10 inference(transitivity,[status(thm)],[6170, 6165])).
% 7.11/5.10 tff(6172,plain,
% 7.11/5.10 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB35) | v123(constB35) | v122(constB35) | v121(constB35) | v120(constB35) | v119(constB35) | (~(v130(constB35, bitIndex1) | v130(constB35, bitIndex2) | (~v130(constB35, bitIndex0)))))),
% 7.11/5.10 inference(quant_inst,[status(thm)],[])).
% 7.11/5.10 tff(6173,plain,
% 7.11/5.10 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | v119(constB35) | v120(constB35) | v121(constB35) | v122(constB35) | v123(constB35) | v124(constB35) | (~(v130(constB35, bitIndex2) | v130(constB35, bitIndex1) | (~v130(constB35, bitIndex0))))),
% 7.11/5.10 inference(modus_ponens,[status(thm)],[6172, 6171])).
% 7.11/5.10 tff(6174,plain,
% 7.11/5.10 (v119(constB35) | v120(constB35) | v121(constB35) | v122(constB35) | v123(constB35) | v124(constB35) | (~(v130(constB35, bitIndex2) | v130(constB35, bitIndex1) | (~v130(constB35, bitIndex0))))),
% 7.11/5.10 inference(unit_resolution,[status(thm)],[6173, 3694])).
% 7.11/5.10 tff(6175,plain,
% 7.11/5.10 (~(v130(constB35, bitIndex2) | v130(constB35, bitIndex1) | (~v130(constB35, bitIndex0)))),
% 7.11/5.10 inference(unit_resolution,[status(thm)],[6174, 6164, 6158, 6129, 6118, 6089, 6078])).
% 7.11/5.10 tff(6176,plain,
% 7.11/5.10 ((v130(constB35, bitIndex2) | v130(constB35, bitIndex1) | (~v130(constB35, bitIndex0))) | (~v130(constB35, bitIndex2))),
% 7.11/5.10 inference(tautology,[status(thm)],[])).
% 7.11/5.10 tff(6177,plain,
% 7.11/5.10 (~v130(constB35, bitIndex2)),
% 7.11/5.10 inference(unit_resolution,[status(thm)],[6176, 6175])).
% 7.11/5.10 tff(6178,plain,
% 7.11/5.10 (((~v127(constB35, bitIndex2)) <=> v130(constB35, bitIndex2)) | (~v127(constB35, bitIndex2)) | v130(constB35, bitIndex2)),
% 7.11/5.10 inference(tautology,[status(thm)],[])).
% 7.11/5.10 tff(6179,plain,
% 7.11/5.10 (~v127(constB35, bitIndex2)),
% 7.11/5.10 inference(unit_resolution,[status(thm)],[6178, 6177, 2045])).
% 7.11/5.10 tff(6180,plain,
% 7.11/5.10 (((~v129(constB36, bitIndex2)) <=> v127(constB35, bitIndex2)) | (~v129(constB36, bitIndex2)) | v127(constB35, bitIndex2)),
% 7.11/5.10 inference(tautology,[status(thm)],[])).
% 7.11/5.10 tff(6181,plain,
% 7.11/5.10 (~v129(constB36, bitIndex2)),
% 7.11/5.10 inference(unit_resolution,[status(thm)],[6180, 6179, 2031])).
% 7.11/5.10 tff(6182,plain,
% 7.11/5.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB35, constB36)) | (v100(constB36) <=> (~((~v101(constB36)) | (~v110(constB36))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB35, constB36)) | (v100(constB36) <=> (~((~v101(constB36)) | (~v110(constB36))))))),
% 7.11/5.10 inference(rewrite,[status(thm)],[])).
% 7.11/5.10 tff(6183,plain,
% 7.11/5.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB35, constB36)) | (v100(constB36) <=> (~((~v101(constB36)) | (~v110(constB36))))))),
% 7.11/5.10 inference(quant_inst,[status(thm)],[])).
% 7.11/5.10 tff(6184,plain,
% 7.11/5.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB35, constB36)) | (v100(constB36) <=> (~((~v101(constB36)) | (~v110(constB36)))))),
% 7.11/5.10 inference(modus_ponens,[status(thm)],[6183, 6182])).
% 7.11/5.10 tff(6185,plain,
% 7.11/5.10 (v100(constB36) <=> (~((~v101(constB36)) | (~v110(constB36))))),
% 7.11/5.10 inference(unit_resolution,[status(thm)],[6184, 2025, 445])).
% 7.11/5.10 tff(6186,plain,
% 7.11/5.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB35, constB36)) | (v101(constB36) <=> (~((~v1(constB36)) | (~v102(constB36))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB35, constB36)) | (v101(constB36) <=> (~((~v1(constB36)) | (~v102(constB36))))))),
% 7.11/5.10 inference(rewrite,[status(thm)],[])).
% 7.11/5.10 tff(6187,plain,
% 7.11/5.10 (((~nextState(constB35, constB36)) | (v101(constB36) <=> (~((~v102(constB36)) | (~v1(constB36)))))) <=> ((~nextState(constB35, constB36)) | (v101(constB36) <=> (~((~v1(constB36)) | (~v102(constB36))))))),
% 7.11/5.10 inference(rewrite,[status(thm)],[])).
% 7.11/5.10 tff(6188,plain,
% 7.11/5.10 (((~![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) <=> (~((~v1(constB36)) | (~v102(constB36)))))))),
% 7.11/5.10 inference(monotonicity,[status(thm)],[6187])).
% 7.11/5.10 tff(6189,plain,
% 7.11/5.10 (((~![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) <=> (~((~v1(constB36)) | (~v102(constB36))))))),
% 7.11/5.10 inference(transitivity,[status(thm)],[6188, 6186])).
% 7.11/5.10 tff(6190,plain,
% 7.11/5.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB35, constB36)) | (v101(constB36) <=> (~((~v102(constB36)) | (~v1(constB36))))))),
% 7.11/5.10 inference(quant_inst,[status(thm)],[])).
% 7.11/5.10 tff(6191,plain,
% 7.11/5.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB35, constB36)) | (v101(constB36) <=> (~((~v1(constB36)) | (~v102(constB36)))))),
% 7.11/5.10 inference(modus_ponens,[status(thm)],[6190, 6189])).
% 7.11/5.10 tff(6192,plain,
% 7.11/5.10 (v101(constB36) <=> (~((~v1(constB36)) | (~v102(constB36))))),
% 7.11/5.10 inference(unit_resolution,[status(thm)],[6191, 2025, 465])).
% 7.11/5.10 tff(6193,plain,
% 7.11/5.10 (((~![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)))),
% 7.11/5.10 inference(rewrite,[status(thm)],[])).
% 7.11/5.10 tff(6194,plain,
% 7.11/5.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB35, constB36)) | ((~v102(constB36)) <=> v104(constB36)))),
% 7.11/5.10 inference(quant_inst,[status(thm)],[])).
% 7.11/5.10 tff(6195,plain,
% 7.11/5.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB35, constB36)) | ((~v102(constB36)) <=> v104(constB36))),
% 7.11/5.10 inference(modus_ponens,[status(thm)],[6194, 6193])).
% 7.11/5.10 tff(6196,plain,
% 7.11/5.10 ((~v102(constB36)) <=> v104(constB36)),
% 7.11/5.10 inference(unit_resolution,[status(thm)],[6195, 2025, 3244])).
% 7.11/5.10 tff(6197,plain,
% 7.11/5.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB35, constB36)) | (v104(constB36) <=> v1(constB35)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB35, constB36)) | (v104(constB36) <=> v1(constB35)))),
% 7.11/5.10 inference(rewrite,[status(thm)],[])).
% 7.11/5.10 tff(6198,plain,
% 7.11/5.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB35, constB36)) | (v104(constB36) <=> v1(constB35)))),
% 7.11/5.10 inference(quant_inst,[status(thm)],[])).
% 7.11/5.10 tff(6199,plain,
% 7.11/5.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB35, constB36)) | (v104(constB36) <=> v1(constB35))),
% 7.11/5.10 inference(modus_ponens,[status(thm)],[6198, 6197])).
% 7.11/5.10 tff(6200,plain,
% 7.11/5.10 (v104(constB36) <=> v1(constB35)),
% 7.11/5.10 inference(unit_resolution,[status(thm)],[6199, 2025, 3258])).
% 7.11/5.10 tff(6201,plain,
% 7.11/5.10 ((~(v104(constB36) <=> v1(constB35))) | (~v104(constB36)) | v1(constB35)),
% 7.11/5.10 inference(tautology,[status(thm)],[])).
% 7.11/5.10 tff(6202,plain,
% 7.11/5.10 ((~(v104(constB36) <=> v1(constB35))) | (~v104(constB36))),
% 7.11/5.10 inference(unit_resolution,[status(thm)],[6201, 2064])).
% 7.11/5.10 tff(6203,plain,
% 7.11/5.10 (~v104(constB36)),
% 7.11/5.10 inference(unit_resolution,[status(thm)],[6202, 6200])).
% 7.11/5.10 tff(6204,plain,
% 7.11/5.10 ((~((~v102(constB36)) <=> v104(constB36))) | v102(constB36) | v104(constB36)),
% 7.11/5.10 inference(tautology,[status(thm)],[])).
% 7.11/5.10 tff(6205,plain,
% 7.11/5.10 (v102(constB36)),
% 7.11/5.10 inference(unit_resolution,[status(thm)],[6204, 6203, 6196])).
% 7.11/5.10 tff(6206,plain,
% 7.11/5.10 (v1(constB36) <=> v1(constB36)),
% 7.11/5.10 inference(rewrite,[status(thm)],[])).
% 7.11/5.10 tff(6207,axiom,(v1(constB36)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_36')).
% 7.11/5.10 tff(6208,plain,
% 7.11/5.10 (v1(constB36)),
% 7.11/5.10 inference(modus_ponens,[status(thm)],[6207, 6206])).
% 7.11/5.10 tff(6209,plain,
% 7.11/5.10 ((~((~v1(constB36)) | (~v102(constB36)))) | (~v1(constB36)) | (~v102(constB36))),
% 7.11/5.10 inference(tautology,[status(thm)],[])).
% 7.11/5.10 tff(6210,plain,
% 7.11/5.10 ((~((~v1(constB36)) | (~v102(constB36)))) | (~v102(constB36))),
% 7.11/5.10 inference(unit_resolution,[status(thm)],[6209, 6208])).
% 7.11/5.10 tff(6211,plain,
% 7.11/5.10 (~((~v1(constB36)) | (~v102(constB36)))),
% 7.11/5.10 inference(unit_resolution,[status(thm)],[6210, 6205])).
% 7.11/5.10 tff(6212,plain,
% 7.11/5.10 ((~(v101(constB36) <=> (~((~v1(constB36)) | (~v102(constB36)))))) | v101(constB36) | ((~v1(constB36)) | (~v102(constB36)))),
% 7.11/5.10 inference(tautology,[status(thm)],[])).
% 7.11/5.10 tff(6213,plain,
% 7.11/5.10 (v101(constB36)),
% 7.11/5.10 inference(unit_resolution,[status(thm)],[6212, 6211, 6192])).
% 7.11/5.10 tff(6214,plain,
% 7.11/5.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB35, constB36)) | (v110(constB36) <=> v108(constB35)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB35, constB36)) | (v110(constB36) <=> v108(constB35)))),
% 7.19/5.11 inference(rewrite,[status(thm)],[])).
% 7.19/5.11 tff(6215,plain,
% 7.19/5.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB35, constB36)) | (v110(constB36) <=> v108(constB35)))),
% 7.19/5.11 inference(quant_inst,[status(thm)],[])).
% 7.19/5.11 tff(6216,plain,
% 7.19/5.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB35, constB36)) | (v110(constB36) <=> v108(constB35))),
% 7.19/5.11 inference(modus_ponens,[status(thm)],[6215, 6214])).
% 7.19/5.11 tff(6217,plain,
% 7.19/5.11 (v110(constB36) <=> v108(constB35)),
% 7.19/5.11 inference(unit_resolution,[status(thm)],[6216, 2025, 3285])).
% 7.19/5.11 tff(6218,plain,
% 7.19/5.11 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB35) <=> (v111(constB35) | v112(constB35)))),
% 7.19/5.11 inference(quant_inst,[status(thm)],[])).
% 7.19/5.11 tff(6219,plain,
% 7.19/5.11 (v108(constB35) <=> (v111(constB35) | v112(constB35))),
% 7.19/5.11 inference(unit_resolution,[status(thm)],[6218, 3296])).
% 7.19/5.11 tff(6220,plain,
% 7.19/5.11 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB35) <=> (~((~v113(constB35)) | (~v126(constB35)))))),
% 7.19/5.11 inference(quant_inst,[status(thm)],[])).
% 7.19/5.11 tff(6221,plain,
% 7.19/5.11 (v112(constB35) <=> (~((~v113(constB35)) | (~v126(constB35))))),
% 7.19/5.11 inference(unit_resolution,[status(thm)],[6220, 3308])).
% 7.19/5.11 tff(6222,plain,
% 7.19/5.11 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB35) <=> (v114(constB35) | v125(constB35)))),
% 7.19/5.11 inference(quant_inst,[status(thm)],[])).
% 7.19/5.11 tff(6223,plain,
% 7.19/5.11 (v113(constB35) <=> (v114(constB35) | v125(constB35))),
% 7.19/5.11 inference(unit_resolution,[status(thm)],[6222, 3317])).
% 7.19/5.11 tff(6224,plain,
% 7.19/5.11 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB35) <=> (~(v90(constB35, bitIndex0) | (~v90(constB35, bitIndex1)) | (~v90(constB35, bitIndex2)))))),
% 7.19/5.11 inference(quant_inst,[status(thm)],[])).
% 7.19/5.11 tff(6225,plain,
% 7.19/5.11 (v125(constB35) <=> (~(v90(constB35, bitIndex0) | (~v90(constB35, bitIndex1)) | (~v90(constB35, bitIndex2))))),
% 7.19/5.11 inference(unit_resolution,[status(thm)],[6224, 3766])).
% 7.19/5.11 tff(6226,plain,
% 7.19/5.11 ((~(v90(constB35, bitIndex0) | (~v90(constB35, bitIndex1)) | (~v90(constB35, bitIndex2)))) | v90(constB35, bitIndex0) | (~v90(constB35, bitIndex1)) | (~v90(constB35, bitIndex2))),
% 7.19/5.11 inference(tautology,[status(thm)],[])).
% 7.19/5.11 tff(6227,plain,
% 7.19/5.11 (~(v90(constB35, bitIndex0) | (~v90(constB35, bitIndex1)) | (~v90(constB35, bitIndex2)))),
% 7.19/5.11 inference(unit_resolution,[status(thm)],[6226, 6114, 6074, 6154])).
% 7.19/5.11 tff(6228,plain,
% 7.19/5.11 ((~(v125(constB35) <=> (~(v90(constB35, bitIndex0) | (~v90(constB35, bitIndex1)) | (~v90(constB35, bitIndex2)))))) | v125(constB35) | (v90(constB35, bitIndex0) | (~v90(constB35, bitIndex1)) | (~v90(constB35, bitIndex2)))),
% 7.19/5.11 inference(tautology,[status(thm)],[])).
% 7.19/5.11 tff(6229,plain,
% 7.19/5.11 (v125(constB35)),
% 7.19/5.11 inference(unit_resolution,[status(thm)],[6228, 6227, 6225])).
% 7.19/5.11 tff(6230,plain,
% 7.19/5.11 ((v114(constB35) | v125(constB35)) | (~v125(constB35))),
% 7.19/5.11 inference(tautology,[status(thm)],[])).
% 7.19/5.11 tff(6231,plain,
% 7.19/5.11 (v114(constB35) | v125(constB35)),
% 7.19/5.11 inference(unit_resolution,[status(thm)],[6230, 6229])).
% 7.19/5.11 tff(6232,plain,
% 7.19/5.11 ((~(v113(constB35) <=> (v114(constB35) | v125(constB35)))) | v113(constB35) | (~(v114(constB35) | v125(constB35)))),
% 7.19/5.11 inference(tautology,[status(thm)],[])).
% 7.19/5.11 tff(6233,plain,
% 7.19/5.11 (v113(constB35)),
% 7.19/5.11 inference(unit_resolution,[status(thm)],[6232, 6231, 6223])).
% 7.19/5.11 tff(6234,plain,
% 7.19/5.11 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB35)) <=> v111(constB35))),
% 7.19/5.11 inference(quant_inst,[status(thm)],[])).
% 7.19/5.11 tff(6235,plain,
% 7.19/5.11 ((~v126(constB35)) <=> v111(constB35)),
% 7.19/5.11 inference(unit_resolution,[status(thm)],[6234, 3396])).
% 7.19/5.11 tff(6236,plain,
% 7.19/5.11 ((~((~v126(constB35)) <=> v111(constB35))) | v126(constB35) | v111(constB35)),
% 7.19/5.11 inference(tautology,[status(thm)],[])).
% 7.19/5.11 tff(6237,plain,
% 7.19/5.11 ((~((~v126(constB35)) <=> v111(constB35))) | v126(constB35)),
% 7.19/5.11 inference(unit_resolution,[status(thm)],[6236, 2038])).
% 7.19/5.11 tff(6238,plain,
% 7.19/5.11 (v126(constB35)),
% 7.19/5.11 inference(unit_resolution,[status(thm)],[6237, 6235])).
% 7.19/5.11 tff(6239,plain,
% 7.19/5.11 ((~((~v113(constB35)) | (~v126(constB35)))) | (~v113(constB35)) | (~v126(constB35))),
% 7.19/5.11 inference(tautology,[status(thm)],[])).
% 7.19/5.11 tff(6240,plain,
% 7.19/5.11 ((~((~v113(constB35)) | (~v126(constB35)))) | (~v113(constB35))),
% 7.19/5.11 inference(unit_resolution,[status(thm)],[6239, 6238])).
% 7.19/5.11 tff(6241,plain,
% 7.19/5.11 (~((~v113(constB35)) | (~v126(constB35)))),
% 7.19/5.11 inference(unit_resolution,[status(thm)],[6240, 6233])).
% 7.19/5.11 tff(6242,plain,
% 7.19/5.11 ((~(v112(constB35) <=> (~((~v113(constB35)) | (~v126(constB35)))))) | v112(constB35) | ((~v113(constB35)) | (~v126(constB35)))),
% 7.19/5.11 inference(tautology,[status(thm)],[])).
% 7.19/5.11 tff(6243,plain,
% 7.19/5.11 (v112(constB35)),
% 7.19/5.11 inference(unit_resolution,[status(thm)],[6242, 6241, 6221])).
% 7.19/5.11 tff(6244,plain,
% 7.19/5.11 ((v111(constB35) | v112(constB35)) | (~v112(constB35))),
% 7.19/5.11 inference(tautology,[status(thm)],[])).
% 7.19/5.11 tff(6245,plain,
% 7.19/5.11 (v111(constB35) | v112(constB35)),
% 7.19/5.11 inference(unit_resolution,[status(thm)],[6244, 6243])).
% 7.19/5.11 tff(6246,plain,
% 7.19/5.11 ((~(v108(constB35) <=> (v111(constB35) | v112(constB35)))) | v108(constB35) | (~(v111(constB35) | v112(constB35)))),
% 7.19/5.11 inference(tautology,[status(thm)],[])).
% 7.19/5.11 tff(6247,plain,
% 7.19/5.11 (v108(constB35)),
% 7.19/5.11 inference(unit_resolution,[status(thm)],[6246, 6245, 6219])).
% 7.19/5.11 tff(6248,plain,
% 7.19/5.11 ((~(v110(constB36) <=> v108(constB35))) | v110(constB36) | (~v108(constB35))),
% 7.19/5.11 inference(tautology,[status(thm)],[])).
% 7.19/5.11 tff(6249,plain,
% 7.19/5.11 (v110(constB36)),
% 7.19/5.11 inference(unit_resolution,[status(thm)],[6248, 6247, 6217])).
% 7.19/5.11 tff(6250,plain,
% 7.19/5.11 ((~((~v101(constB36)) | (~v110(constB36)))) | (~v101(constB36)) | (~v110(constB36))),
% 7.19/5.11 inference(tautology,[status(thm)],[])).
% 7.19/5.11 tff(6251,plain,
% 7.19/5.11 (~((~v101(constB36)) | (~v110(constB36)))),
% 7.19/5.11 inference(unit_resolution,[status(thm)],[6250, 6249, 6213])).
% 7.19/5.11 tff(6252,plain,
% 7.19/5.11 ((~(v100(constB36) <=> (~((~v101(constB36)) | (~v110(constB36)))))) | v100(constB36) | ((~v101(constB36)) | (~v110(constB36)))),
% 7.19/5.11 inference(tautology,[status(thm)],[])).
% 7.19/5.11 tff(6253,plain,
% 7.19/5.11 (v100(constB36)),
% 7.19/5.11 inference(unit_resolution,[status(thm)],[6252, 6251, 6185])).
% 7.19/5.11 tff(6254,plain,
% 7.19/5.11 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB36)) | (~(((~v90(constB36, bitIndex2)) <=> v129(constB36, bitIndex2)) | ((~v90(constB36, bitIndex1)) <=> v129(constB36, bitIndex1)) | ((~v90(constB36, bitIndex0)) <=> v129(constB36, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB36)) | (~(((~v90(constB36, bitIndex2)) <=> v129(constB36, bitIndex2)) | ((~v90(constB36, bitIndex1)) <=> v129(constB36, bitIndex1)) | ((~v90(constB36, bitIndex0)) <=> v129(constB36, bitIndex0)))))),
% 7.19/5.11 inference(rewrite,[status(thm)],[])).
% 7.19/5.11 tff(6255,plain,
% 7.19/5.11 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB36)) | (~(((~v90(constB36, bitIndex2)) <=> v129(constB36, bitIndex2)) | ((~v90(constB36, bitIndex1)) <=> v129(constB36, bitIndex1)) | ((~v90(constB36, bitIndex0)) <=> v129(constB36, bitIndex0)))))),
% 7.19/5.11 inference(quant_inst,[status(thm)],[])).
% 7.19/5.11 tff(6256,plain,
% 7.19/5.11 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB36)) | (~(((~v90(constB36, bitIndex2)) <=> v129(constB36, bitIndex2)) | ((~v90(constB36, bitIndex1)) <=> v129(constB36, bitIndex1)) | ((~v90(constB36, bitIndex0)) <=> v129(constB36, bitIndex0))))),
% 7.19/5.11 inference(modus_ponens,[status(thm)],[6255, 6254])).
% 7.19/5.11 tff(6257,plain,
% 7.19/5.11 ((~v100(constB36)) | (~(((~v90(constB36, bitIndex2)) <=> v129(constB36, bitIndex2)) | ((~v90(constB36, bitIndex1)) <=> v129(constB36, bitIndex1)) | ((~v90(constB36, bitIndex0)) <=> v129(constB36, bitIndex0))))),
% 7.19/5.11 inference(unit_resolution,[status(thm)],[6256, 3429])).
% 7.19/5.11 tff(6258,plain,
% 7.19/5.11 (~(((~v90(constB36, bitIndex2)) <=> v129(constB36, bitIndex2)) | ((~v90(constB36, bitIndex1)) <=> v129(constB36, bitIndex1)) | ((~v90(constB36, bitIndex0)) <=> v129(constB36, bitIndex0)))),
% 7.19/5.11 inference(unit_resolution,[status(thm)],[6257, 6253])).
% 7.19/5.11 tff(6259,plain,
% 7.19/5.11 ((((~v90(constB36, bitIndex2)) <=> v129(constB36, bitIndex2)) | ((~v90(constB36, bitIndex1)) <=> v129(constB36, bitIndex1)) | ((~v90(constB36, bitIndex0)) <=> v129(constB36, bitIndex0))) | (~((~v90(constB36, bitIndex2)) <=> v129(constB36, bitIndex2)))),
% 7.19/5.11 inference(tautology,[status(thm)],[])).
% 7.19/5.11 tff(6260,plain,
% 7.19/5.11 (~((~v90(constB36, bitIndex2)) <=> v129(constB36, bitIndex2))),
% 7.19/5.11 inference(unit_resolution,[status(thm)],[6259, 6258])).
% 7.19/5.11 tff(6261,plain,
% 7.19/5.11 (((~v90(constB36, bitIndex2)) <=> v129(constB36, bitIndex2)) | (~v90(constB36, bitIndex2)) | v129(constB36, bitIndex2)),
% 7.19/5.11 inference(tautology,[status(thm)],[])).
% 7.19/5.11 tff(6262,plain,
% 7.19/5.11 (~v90(constB36, bitIndex2)),
% 7.19/5.11 inference(unit_resolution,[status(thm)],[6261, 6260, 6181])).
% 7.19/5.11 tff(6263,plain,
% 7.19/5.11 (((~v90(constB37, bitIndex2)) <=> v90(constB36, bitIndex2)) | (~v90(constB37, bitIndex2)) | v90(constB36, bitIndex2)),
% 7.19/5.11 inference(tautology,[status(thm)],[])).
% 7.19/5.11 tff(6264,plain,
% 7.19/5.11 (~v90(constB37, bitIndex2)),
% 7.19/5.11 inference(unit_resolution,[status(thm)],[6263, 6262, 2022])).
% 7.19/5.11 tff(6265,plain,
% 7.19/5.11 ((((~v90(constB37, bitIndex1)) <=> v90(constB36, bitIndex1)) | ((~v90(constB37, bitIndex2)) <=> v90(constB36, bitIndex2)) | ((~v90(constB37, bitIndex0)) <=> v90(constB36, bitIndex0))) | (~((~v90(constB37, bitIndex0)) <=> v90(constB36, bitIndex0)))),
% 7.19/5.11 inference(tautology,[status(thm)],[])).
% 7.19/5.11 tff(6266,plain,
% 7.19/5.11 (~((~v90(constB37, bitIndex0)) <=> v90(constB36, bitIndex0))),
% 7.19/5.11 inference(unit_resolution,[status(thm)],[6265, 2020])).
% 7.19/5.11 tff(6267,plain,
% 7.19/5.11 ((((~v129(constB36, bitIndex2)) <=> v127(constB35, bitIndex2)) | ((~v129(constB36, bitIndex1)) <=> v127(constB35, bitIndex1)) | ((~v129(constB36, bitIndex0)) <=> v127(constB35, bitIndex0))) | (~((~v129(constB36, bitIndex0)) <=> v127(constB35, bitIndex0)))),
% 7.19/5.11 inference(tautology,[status(thm)],[])).
% 7.19/5.11 tff(6268,plain,
% 7.19/5.11 (~((~v129(constB36, bitIndex0)) <=> v127(constB35, bitIndex0))),
% 7.19/5.11 inference(unit_resolution,[status(thm)],[6267, 2029])).
% 7.19/5.11 tff(6269,plain,
% 7.19/5.11 ((((~v127(constB35, bitIndex2)) <=> v130(constB35, bitIndex2)) | ((~v127(constB35, bitIndex1)) <=> v130(constB35, bitIndex1)) | ((~v127(constB35, bitIndex0)) <=> v130(constB35, bitIndex0))) | (~((~v127(constB35, bitIndex0)) <=> v130(constB35, bitIndex0)))),
% 7.19/5.11 inference(tautology,[status(thm)],[])).
% 7.19/5.11 tff(6270,plain,
% 7.19/5.11 (~((~v127(constB35, bitIndex0)) <=> v130(constB35, bitIndex0))),
% 7.19/5.11 inference(unit_resolution,[status(thm)],[6269, 2043])).
% 7.19/5.11 tff(6271,plain,
% 7.19/5.11 ((v130(constB35, bitIndex2) | v130(constB35, bitIndex1) | (~v130(constB35, bitIndex0))) | v130(constB35, bitIndex0)),
% 7.19/5.11 inference(tautology,[status(thm)],[])).
% 7.19/5.11 tff(6272,plain,
% 7.19/5.11 (v130(constB35, bitIndex0)),
% 7.19/5.11 inference(unit_resolution,[status(thm)],[6271, 6175])).
% 7.19/5.11 tff(6273,plain,
% 7.19/5.11 (((~v127(constB35, bitIndex0)) <=> v130(constB35, bitIndex0)) | v127(constB35, bitIndex0) | (~v130(constB35, bitIndex0))),
% 7.19/5.11 inference(tautology,[status(thm)],[])).
% 7.19/5.11 tff(6274,plain,
% 7.19/5.11 (v127(constB35, bitIndex0)),
% 7.19/5.11 inference(unit_resolution,[status(thm)],[6273, 6272, 6270])).
% 7.19/5.11 tff(6275,plain,
% 7.19/5.11 (((~v129(constB36, bitIndex0)) <=> v127(constB35, bitIndex0)) | v129(constB36, bitIndex0) | (~v127(constB35, bitIndex0))),
% 7.19/5.11 inference(tautology,[status(thm)],[])).
% 7.19/5.11 tff(6276,plain,
% 7.19/5.11 (v129(constB36, bitIndex0)),
% 7.19/5.11 inference(unit_resolution,[status(thm)],[6275, 6274, 6268])).
% 7.19/5.11 tff(6277,plain,
% 7.19/5.11 ((((~v90(constB36, bitIndex2)) <=> v129(constB36, bitIndex2)) | ((~v90(constB36, bitIndex1)) <=> v129(constB36, bitIndex1)) | ((~v90(constB36, bitIndex0)) <=> v129(constB36, bitIndex0))) | (~((~v90(constB36, bitIndex0)) <=> v129(constB36, bitIndex0)))),
% 7.19/5.11 inference(tautology,[status(thm)],[])).
% 7.19/5.11 tff(6278,plain,
% 7.19/5.11 (~((~v90(constB36, bitIndex0)) <=> v129(constB36, bitIndex0))),
% 7.19/5.11 inference(unit_resolution,[status(thm)],[6277, 6258])).
% 7.19/5.11 tff(6279,plain,
% 7.19/5.11 (((~v90(constB36, bitIndex0)) <=> v129(constB36, bitIndex0)) | v90(constB36, bitIndex0) | (~v129(constB36, bitIndex0))),
% 7.19/5.11 inference(tautology,[status(thm)],[])).
% 7.19/5.11 tff(6280,plain,
% 7.19/5.11 (v90(constB36, bitIndex0)),
% 7.19/5.11 inference(unit_resolution,[status(thm)],[6279, 6278, 6276])).
% 7.19/5.11 tff(6281,plain,
% 7.19/5.11 (((~v90(constB37, bitIndex0)) <=> v90(constB36, bitIndex0)) | v90(constB37, bitIndex0) | (~v90(constB36, bitIndex0))),
% 7.19/5.11 inference(tautology,[status(thm)],[])).
% 7.19/5.11 tff(6282,plain,
% 7.19/5.11 (v90(constB37, bitIndex0)),
% 7.19/5.11 inference(unit_resolution,[status(thm)],[6281, 6280, 6266])).
% 7.19/5.11 tff(6283,plain,
% 7.19/5.11 ((((~v90(constB37, bitIndex1)) <=> v90(constB36, bitIndex1)) | ((~v90(constB37, bitIndex2)) <=> v90(constB36, bitIndex2)) | ((~v90(constB37, bitIndex0)) <=> v90(constB36, bitIndex0))) | (~((~v90(constB37, bitIndex1)) <=> v90(constB36, bitIndex1)))),
% 7.19/5.11 inference(tautology,[status(thm)],[])).
% 7.19/5.11 tff(6284,plain,
% 7.19/5.11 (~((~v90(constB37, bitIndex1)) <=> v90(constB36, bitIndex1))),
% 7.19/5.11 inference(unit_resolution,[status(thm)],[6283, 2020])).
% 7.19/5.11 tff(6285,plain,
% 7.19/5.11 ((((~v129(constB36, bitIndex2)) <=> v127(constB35, bitIndex2)) | ((~v129(constB36, bitIndex1)) <=> v127(constB35, bitIndex1)) | ((~v129(constB36, bitIndex0)) <=> v127(constB35, bitIndex0))) | (~((~v129(constB36, bitIndex1)) <=> v127(constB35, bitIndex1)))),
% 7.19/5.11 inference(tautology,[status(thm)],[])).
% 7.19/5.11 tff(6286,plain,
% 7.19/5.11 (~((~v129(constB36, bitIndex1)) <=> v127(constB35, bitIndex1))),
% 7.19/5.11 inference(unit_resolution,[status(thm)],[6285, 2029])).
% 7.19/5.11 tff(6287,plain,
% 7.19/5.11 ((((~v127(constB35, bitIndex2)) <=> v130(constB35, bitIndex2)) | ((~v127(constB35, bitIndex1)) <=> v130(constB35, bitIndex1)) | ((~v127(constB35, bitIndex0)) <=> v130(constB35, bitIndex0))) | (~((~v127(constB35, bitIndex1)) <=> v130(constB35, bitIndex1)))),
% 7.19/5.11 inference(tautology,[status(thm)],[])).
% 7.19/5.11 tff(6288,plain,
% 7.19/5.11 (~((~v127(constB35, bitIndex1)) <=> v130(constB35, bitIndex1))),
% 7.19/5.11 inference(unit_resolution,[status(thm)],[6287, 2043])).
% 7.19/5.11 tff(6289,plain,
% 7.19/5.11 ((v130(constB35, bitIndex2) | v130(constB35, bitIndex1) | (~v130(constB35, bitIndex0))) | (~v130(constB35, bitIndex1))),
% 7.19/5.11 inference(tautology,[status(thm)],[])).
% 7.19/5.11 tff(6290,plain,
% 7.19/5.11 (~v130(constB35, bitIndex1)),
% 7.19/5.11 inference(unit_resolution,[status(thm)],[6289, 6175])).
% 7.19/5.11 tff(6291,plain,
% 7.19/5.11 (((~v127(constB35, bitIndex1)) <=> v130(constB35, bitIndex1)) | (~v127(constB35, bitIndex1)) | v130(constB35, bitIndex1)),
% 7.19/5.11 inference(tautology,[status(thm)],[])).
% 7.19/5.11 tff(6292,plain,
% 7.19/5.11 (~v127(constB35, bitIndex1)),
% 7.19/5.11 inference(unit_resolution,[status(thm)],[6291, 6290, 6288])).
% 7.19/5.11 tff(6293,plain,
% 7.19/5.11 (((~v129(constB36, bitIndex1)) <=> v127(constB35, bitIndex1)) | (~v129(constB36, bitIndex1)) | v127(constB35, bitIndex1)),
% 7.19/5.11 inference(tautology,[status(thm)],[])).
% 7.19/5.11 tff(6294,plain,
% 7.19/5.11 (~v129(constB36, bitIndex1)),
% 7.19/5.11 inference(unit_resolution,[status(thm)],[6293, 6292, 6286])).
% 7.19/5.11 tff(6295,plain,
% 7.19/5.11 ((((~v90(constB36, bitIndex2)) <=> v129(constB36, bitIndex2)) | ((~v90(constB36, bitIndex1)) <=> v129(constB36, bitIndex1)) | ((~v90(constB36, bitIndex0)) <=> v129(constB36, bitIndex0))) | (~((~v90(constB36, bitIndex1)) <=> v129(constB36, bitIndex1)))),
% 7.19/5.11 inference(tautology,[status(thm)],[])).
% 7.19/5.11 tff(6296,plain,
% 7.19/5.11 (~((~v90(constB36, bitIndex1)) <=> v129(constB36, bitIndex1))),
% 7.19/5.11 inference(unit_resolution,[status(thm)],[6295, 6258])).
% 7.19/5.11 tff(6297,plain,
% 7.19/5.11 (((~v90(constB36, bitIndex1)) <=> v129(constB36, bitIndex1)) | (~v90(constB36, bitIndex1)) | v129(constB36, bitIndex1)),
% 7.19/5.11 inference(tautology,[status(thm)],[])).
% 7.19/5.11 tff(6298,plain,
% 7.19/5.11 (~v90(constB36, bitIndex1)),
% 7.19/5.11 inference(unit_resolution,[status(thm)],[6297, 6296, 6294])).
% 7.19/5.11 tff(6299,plain,
% 7.19/5.11 (((~v90(constB37, bitIndex1)) <=> v90(constB36, bitIndex1)) | (~v90(constB37, bitIndex1)) | v90(constB36, bitIndex1)),
% 7.19/5.11 inference(tautology,[status(thm)],[])).
% 7.19/5.11 tff(6300,plain,
% 7.19/5.11 (~v90(constB37, bitIndex1)),
% 7.19/5.11 inference(unit_resolution,[status(thm)],[6299, 6298, 6284])).
% 7.19/5.11 tff(6301,plain,
% 7.19/5.11 ((~(v90(constB37, bitIndex1) | v90(constB37, bitIndex2) | (~v90(constB37, bitIndex0)))) | v90(constB37, bitIndex1) | v90(constB37, bitIndex2) | (~v90(constB37, bitIndex0))),
% 7.19/5.11 inference(tautology,[status(thm)],[])).
% 7.19/5.11 tff(6302,plain,
% 7.19/5.11 (~(v90(constB37, bitIndex1) | v90(constB37, bitIndex2) | (~v90(constB37, bitIndex0)))),
% 7.19/5.11 inference(unit_resolution,[status(thm)],[6301, 6300, 6282, 6264])).
% 7.19/5.11 tff(6303,plain,
% 7.19/5.11 ((~(v120(constB37) <=> (~(v90(constB37, bitIndex1) | v90(constB37, bitIndex2) | (~v90(constB37, bitIndex0)))))) | v120(constB37) | (v90(constB37, bitIndex1) | v90(constB37, bitIndex2) | (~v90(constB37, bitIndex0)))),
% 7.19/5.11 inference(tautology,[status(thm)],[])).
% 7.19/5.11 tff(6304,plain,
% 7.19/5.11 (v120(constB37)),
% 7.19/5.11 inference(unit_resolution,[status(thm)],[6303, 6302, 1986])).
% 7.19/5.11 tff(6305,plain,
% 7.19/5.11 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB37)) | (~(v130(constB37, bitIndex2) | v130(constB37, bitIndex0) | (~v130(constB37, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB37)) | (~(v130(constB37, bitIndex2) | v130(constB37, bitIndex0) | (~v130(constB37, bitIndex1)))))),
% 7.19/5.11 inference(rewrite,[status(thm)],[])).
% 7.19/5.11 tff(6306,plain,
% 7.19/5.11 (((~v120(constB37)) | (~(v130(constB37, bitIndex0) | v130(constB37, bitIndex2) | (~v130(constB37, bitIndex1))))) <=> ((~v120(constB37)) | (~(v130(constB37, bitIndex2) | v130(constB37, bitIndex0) | (~v130(constB37, bitIndex1)))))),
% 7.19/5.11 inference(rewrite,[status(thm)],[])).
% 7.19/5.11 tff(6307,plain,
% 7.19/5.11 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB37)) | (~(v130(constB37, bitIndex0) | v130(constB37, bitIndex2) | (~v130(constB37, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB37)) | (~(v130(constB37, bitIndex2) | v130(constB37, bitIndex0) | (~v130(constB37, bitIndex1))))))),
% 7.19/5.11 inference(monotonicity,[status(thm)],[6306])).
% 7.19/5.11 tff(6308,plain,
% 7.19/5.11 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB37)) | (~(v130(constB37, bitIndex0) | v130(constB37, bitIndex2) | (~v130(constB37, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB37)) | (~(v130(constB37, bitIndex2) | v130(constB37, bitIndex0) | (~v130(constB37, bitIndex1)))))),
% 7.19/5.11 inference(transitivity,[status(thm)],[6307, 6305])).
% 7.19/5.11 tff(6309,plain,
% 7.19/5.11 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB37)) | (~(v130(constB37, bitIndex0) | v130(constB37, bitIndex2) | (~v130(constB37, bitIndex1)))))),
% 7.19/5.11 inference(quant_inst,[status(thm)],[])).
% 7.19/5.11 tff(6310,plain,
% 7.19/5.11 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB37)) | (~(v130(constB37, bitIndex2) | v130(constB37, bitIndex0) | (~v130(constB37, bitIndex1))))),
% 7.19/5.11 inference(modus_ponens,[status(thm)],[6309, 6308])).
% 7.19/5.11 tff(6311,plain,
% 7.19/5.11 ((~v120(constB37)) | (~(v130(constB37, bitIndex2) | v130(constB37, bitIndex0) | (~v130(constB37, bitIndex1))))),
% 7.19/5.11 inference(unit_resolution,[status(thm)],[6310, 3881])).
% 7.19/5.11 tff(6312,plain,
% 7.19/5.11 (~(v130(constB37, bitIndex2) | v130(constB37, bitIndex0) | (~v130(constB37, bitIndex1)))),
% 7.19/5.11 inference(unit_resolution,[status(thm)],[6311, 6304])).
% 7.19/5.11 tff(6313,plain,
% 7.19/5.11 ((v130(constB37, bitIndex2) | v130(constB37, bitIndex0) | (~v130(constB37, bitIndex1))) | (~v130(constB37, bitIndex2))),
% 7.19/5.11 inference(tautology,[status(thm)],[])).
% 7.19/5.11 tff(6314,plain,
% 7.19/5.11 (~v130(constB37, bitIndex2)),
% 7.19/5.11 inference(unit_resolution,[status(thm)],[6313, 6312])).
% 7.19/5.11 tff(6315,plain,
% 7.19/5.11 (((~v127(constB37, bitIndex2)) <=> v130(constB37, bitIndex2)) | (~v127(constB37, bitIndex2)) | v130(constB37, bitIndex2)),
% 7.19/5.11 inference(tautology,[status(thm)],[])).
% 7.19/5.11 tff(6316,plain,
% 7.19/5.11 (~v127(constB37, bitIndex2)),
% 7.19/5.11 inference(unit_resolution,[status(thm)],[6315, 6314, 1984])).
% 7.19/5.11 tff(6317,plain,
% 7.19/5.11 (((~v129(constB38, bitIndex2)) <=> v127(constB37, bitIndex2)) | (~v129(constB38, bitIndex2)) | v127(constB37, bitIndex2)),
% 7.19/5.11 inference(tautology,[status(thm)],[])).
% 7.19/5.11 tff(6318,plain,
% 7.19/5.11 (~v129(constB38, bitIndex2)),
% 7.19/5.11 inference(unit_resolution,[status(thm)],[6317, 6316, 1970])).
% 7.19/5.11 tff(6319,plain,
% 7.19/5.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB37, constB38)) | (v100(constB38) <=> (~((~v101(constB38)) | (~v110(constB38))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB37, constB38)) | (v100(constB38) <=> (~((~v101(constB38)) | (~v110(constB38))))))),
% 7.19/5.11 inference(rewrite,[status(thm)],[])).
% 7.19/5.11 tff(6320,plain,
% 7.19/5.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB37, constB38)) | (v100(constB38) <=> (~((~v101(constB38)) | (~v110(constB38))))))),
% 7.19/5.11 inference(quant_inst,[status(thm)],[])).
% 7.19/5.11 tff(6321,plain,
% 7.19/5.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB37, constB38)) | (v100(constB38) <=> (~((~v101(constB38)) | (~v110(constB38)))))),
% 7.19/5.11 inference(modus_ponens,[status(thm)],[6320, 6319])).
% 7.19/5.11 tff(6322,plain,
% 7.19/5.11 (v100(constB38) <=> (~((~v101(constB38)) | (~v110(constB38))))),
% 7.19/5.11 inference(unit_resolution,[status(thm)],[6321, 1964, 445])).
% 7.19/5.11 tff(6323,plain,
% 7.19/5.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB37, constB38)) | (v101(constB38) <=> (~((~v1(constB38)) | (~v102(constB38))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB37, constB38)) | (v101(constB38) <=> (~((~v1(constB38)) | (~v102(constB38))))))),
% 7.19/5.11 inference(rewrite,[status(thm)],[])).
% 7.19/5.11 tff(6324,plain,
% 7.19/5.11 (((~nextState(constB37, constB38)) | (v101(constB38) <=> (~((~v102(constB38)) | (~v1(constB38)))))) <=> ((~nextState(constB37, constB38)) | (v101(constB38) <=> (~((~v1(constB38)) | (~v102(constB38))))))),
% 7.19/5.11 inference(rewrite,[status(thm)],[])).
% 7.19/5.11 tff(6325,plain,
% 7.19/5.11 (((~![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) <=> (~((~v1(constB38)) | (~v102(constB38)))))))),
% 7.19/5.11 inference(monotonicity,[status(thm)],[6324])).
% 7.19/5.11 tff(6326,plain,
% 7.19/5.11 (((~![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) <=> (~((~v1(constB38)) | (~v102(constB38))))))),
% 7.19/5.11 inference(transitivity,[status(thm)],[6325, 6323])).
% 7.19/5.11 tff(6327,plain,
% 7.19/5.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB37, constB38)) | (v101(constB38) <=> (~((~v102(constB38)) | (~v1(constB38))))))),
% 7.19/5.11 inference(quant_inst,[status(thm)],[])).
% 7.19/5.11 tff(6328,plain,
% 7.19/5.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB37, constB38)) | (v101(constB38) <=> (~((~v1(constB38)) | (~v102(constB38)))))),
% 7.19/5.11 inference(modus_ponens,[status(thm)],[6327, 6326])).
% 7.19/5.11 tff(6329,plain,
% 7.19/5.11 (v101(constB38) <=> (~((~v1(constB38)) | (~v102(constB38))))),
% 7.19/5.11 inference(unit_resolution,[status(thm)],[6328, 1964, 465])).
% 7.19/5.11 tff(6330,plain,
% 7.19/5.11 (((~![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)))),
% 7.19/5.11 inference(rewrite,[status(thm)],[])).
% 7.19/5.11 tff(6331,plain,
% 7.19/5.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB37, constB38)) | ((~v102(constB38)) <=> v104(constB38)))),
% 7.19/5.11 inference(quant_inst,[status(thm)],[])).
% 7.19/5.11 tff(6332,plain,
% 7.19/5.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB37, constB38)) | ((~v102(constB38)) <=> v104(constB38))),
% 7.19/5.11 inference(modus_ponens,[status(thm)],[6331, 6330])).
% 7.19/5.11 tff(6333,plain,
% 7.19/5.11 ((~v102(constB38)) <=> v104(constB38)),
% 7.19/5.11 inference(unit_resolution,[status(thm)],[6332, 1964, 3244])).
% 7.19/5.11 tff(6334,plain,
% 7.19/5.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB37, constB38)) | (v104(constB38) <=> v1(constB37)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB37, constB38)) | (v104(constB38) <=> v1(constB37)))),
% 7.19/5.11 inference(rewrite,[status(thm)],[])).
% 7.19/5.11 tff(6335,plain,
% 7.19/5.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB37, constB38)) | (v104(constB38) <=> v1(constB37)))),
% 7.19/5.11 inference(quant_inst,[status(thm)],[])).
% 7.19/5.11 tff(6336,plain,
% 7.19/5.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB37, constB38)) | (v104(constB38) <=> v1(constB37))),
% 7.19/5.11 inference(modus_ponens,[status(thm)],[6335, 6334])).
% 7.19/5.11 tff(6337,plain,
% 7.19/5.11 (v104(constB38) <=> v1(constB37)),
% 7.19/5.11 inference(unit_resolution,[status(thm)],[6336, 1964, 3258])).
% 7.19/5.11 tff(6338,plain,
% 7.19/5.11 ((~(v104(constB38) <=> v1(constB37))) | (~v104(constB38)) | v1(constB37)),
% 7.19/5.11 inference(tautology,[status(thm)],[])).
% 7.19/5.11 tff(6339,plain,
% 7.19/5.11 ((~(v104(constB38) <=> v1(constB37))) | (~v104(constB38))),
% 7.19/5.11 inference(unit_resolution,[status(thm)],[6338, 2003])).
% 7.19/5.11 tff(6340,plain,
% 7.19/5.11 (~v104(constB38)),
% 7.19/5.11 inference(unit_resolution,[status(thm)],[6339, 6337])).
% 7.19/5.11 tff(6341,plain,
% 7.19/5.11 ((~((~v102(constB38)) <=> v104(constB38))) | v102(constB38) | v104(constB38)),
% 7.19/5.11 inference(tautology,[status(thm)],[])).
% 7.19/5.11 tff(6342,plain,
% 7.19/5.11 (v102(constB38)),
% 7.19/5.11 inference(unit_resolution,[status(thm)],[6341, 6340, 6333])).
% 7.19/5.11 tff(6343,plain,
% 7.19/5.11 (v1(constB38) <=> v1(constB38)),
% 7.19/5.11 inference(rewrite,[status(thm)],[])).
% 7.19/5.11 tff(6344,axiom,(v1(constB38)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_38')).
% 7.19/5.11 tff(6345,plain,
% 7.19/5.11 (v1(constB38)),
% 7.19/5.11 inference(modus_ponens,[status(thm)],[6344, 6343])).
% 7.19/5.11 tff(6346,plain,
% 7.19/5.11 ((~((~v1(constB38)) | (~v102(constB38)))) | (~v1(constB38)) | (~v102(constB38))),
% 7.19/5.11 inference(tautology,[status(thm)],[])).
% 7.19/5.11 tff(6347,plain,
% 7.19/5.11 ((~((~v1(constB38)) | (~v102(constB38)))) | (~v102(constB38))),
% 7.19/5.12 inference(unit_resolution,[status(thm)],[6346, 6345])).
% 7.19/5.12 tff(6348,plain,
% 7.19/5.12 (~((~v1(constB38)) | (~v102(constB38)))),
% 7.19/5.12 inference(unit_resolution,[status(thm)],[6347, 6342])).
% 7.19/5.12 tff(6349,plain,
% 7.19/5.12 ((~(v101(constB38) <=> (~((~v1(constB38)) | (~v102(constB38)))))) | v101(constB38) | ((~v1(constB38)) | (~v102(constB38)))),
% 7.19/5.12 inference(tautology,[status(thm)],[])).
% 7.19/5.12 tff(6350,plain,
% 7.19/5.12 (v101(constB38)),
% 7.19/5.12 inference(unit_resolution,[status(thm)],[6349, 6348, 6329])).
% 7.19/5.12 tff(6351,plain,
% 7.19/5.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB37, constB38)) | (v110(constB38) <=> v108(constB37)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB37, constB38)) | (v110(constB38) <=> v108(constB37)))),
% 7.19/5.12 inference(rewrite,[status(thm)],[])).
% 7.19/5.12 tff(6352,plain,
% 7.19/5.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB37, constB38)) | (v110(constB38) <=> v108(constB37)))),
% 7.19/5.12 inference(quant_inst,[status(thm)],[])).
% 7.19/5.12 tff(6353,plain,
% 7.19/5.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB37, constB38)) | (v110(constB38) <=> v108(constB37))),
% 7.19/5.12 inference(modus_ponens,[status(thm)],[6352, 6351])).
% 7.19/5.12 tff(6354,plain,
% 7.19/5.12 (v110(constB38) <=> v108(constB37)),
% 7.19/5.12 inference(unit_resolution,[status(thm)],[6353, 1964, 3285])).
% 7.19/5.12 tff(6355,plain,
% 7.19/5.12 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB37) <=> (v111(constB37) | v112(constB37)))),
% 7.19/5.12 inference(quant_inst,[status(thm)],[])).
% 7.19/5.12 tff(6356,plain,
% 7.19/5.12 (v108(constB37) <=> (v111(constB37) | v112(constB37))),
% 7.19/5.12 inference(unit_resolution,[status(thm)],[6355, 3296])).
% 7.19/5.12 tff(6357,plain,
% 7.19/5.12 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB37) <=> (~((~v113(constB37)) | (~v126(constB37)))))),
% 7.19/5.12 inference(quant_inst,[status(thm)],[])).
% 7.19/5.12 tff(6358,plain,
% 7.19/5.12 (v112(constB37) <=> (~((~v113(constB37)) | (~v126(constB37))))),
% 7.19/5.12 inference(unit_resolution,[status(thm)],[6357, 3308])).
% 7.19/5.12 tff(6359,plain,
% 7.19/5.12 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB37) <=> (v114(constB37) | v125(constB37)))),
% 7.19/5.12 inference(quant_inst,[status(thm)],[])).
% 7.19/5.12 tff(6360,plain,
% 7.19/5.12 (v113(constB37) <=> (v114(constB37) | v125(constB37))),
% 7.19/5.12 inference(unit_resolution,[status(thm)],[6359, 3317])).
% 7.19/5.12 tff(6361,plain,
% 7.19/5.12 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB37) <=> (v115(constB37) | v124(constB37)))),
% 7.19/5.12 inference(quant_inst,[status(thm)],[])).
% 7.19/5.12 tff(6362,plain,
% 7.19/5.12 (v114(constB37) <=> (v115(constB37) | v124(constB37))),
% 7.19/5.12 inference(unit_resolution,[status(thm)],[6361, 3326])).
% 7.19/5.12 tff(6363,plain,
% 7.19/5.12 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB37) <=> (v116(constB37) | v123(constB37)))),
% 7.19/5.12 inference(quant_inst,[status(thm)],[])).
% 7.19/5.12 tff(6364,plain,
% 7.19/5.12 (v115(constB37) <=> (v116(constB37) | v123(constB37))),
% 7.19/5.12 inference(unit_resolution,[status(thm)],[6363, 3335])).
% 7.19/5.12 tff(6365,plain,
% 7.19/5.12 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB37) <=> (v117(constB37) | v122(constB37)))),
% 7.19/5.12 inference(quant_inst,[status(thm)],[])).
% 7.19/5.12 tff(6366,plain,
% 7.19/5.12 (v116(constB37) <=> (v117(constB37) | v122(constB37))),
% 7.19/5.12 inference(unit_resolution,[status(thm)],[6365, 3344])).
% 7.19/5.12 tff(6367,plain,
% 7.19/5.12 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB37) <=> (v118(constB37) | v121(constB37)))),
% 7.19/5.12 inference(quant_inst,[status(thm)],[])).
% 7.19/5.12 tff(6368,plain,
% 7.19/5.12 (v117(constB37) <=> (v118(constB37) | v121(constB37))),
% 7.19/5.12 inference(unit_resolution,[status(thm)],[6367, 3353])).
% 7.19/5.12 tff(6369,plain,
% 7.19/5.12 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB37) <=> (v119(constB37) | v120(constB37)))),
% 7.19/5.12 inference(quant_inst,[status(thm)],[])).
% 7.19/5.12 tff(6370,plain,
% 7.19/5.12 (v118(constB37) <=> (v119(constB37) | v120(constB37))),
% 7.19/5.12 inference(unit_resolution,[status(thm)],[6369, 3362])).
% 7.19/5.12 tff(6371,plain,
% 7.19/5.12 ((v119(constB37) | v120(constB37)) | (~v120(constB37))),
% 7.19/5.12 inference(tautology,[status(thm)],[])).
% 7.19/5.12 tff(6372,plain,
% 7.19/5.12 (v119(constB37) | v120(constB37)),
% 7.19/5.12 inference(unit_resolution,[status(thm)],[6371, 6304])).
% 7.19/5.12 tff(6373,plain,
% 7.19/5.12 ((~(v118(constB37) <=> (v119(constB37) | v120(constB37)))) | v118(constB37) | (~(v119(constB37) | v120(constB37)))),
% 7.19/5.12 inference(tautology,[status(thm)],[])).
% 7.19/5.12 tff(6374,plain,
% 7.19/5.12 (v118(constB37)),
% 7.19/5.12 inference(unit_resolution,[status(thm)],[6373, 6372, 6370])).
% 7.19/5.12 tff(6375,plain,
% 7.19/5.12 ((v118(constB37) | v121(constB37)) | (~v118(constB37))),
% 7.19/5.12 inference(tautology,[status(thm)],[])).
% 7.19/5.12 tff(6376,plain,
% 7.19/5.12 (v118(constB37) | v121(constB37)),
% 7.19/5.12 inference(unit_resolution,[status(thm)],[6375, 6374])).
% 7.19/5.12 tff(6377,plain,
% 7.19/5.12 ((~(v117(constB37) <=> (v118(constB37) | v121(constB37)))) | v117(constB37) | (~(v118(constB37) | v121(constB37)))),
% 7.19/5.12 inference(tautology,[status(thm)],[])).
% 7.19/5.12 tff(6378,plain,
% 7.19/5.12 (v117(constB37)),
% 7.19/5.12 inference(unit_resolution,[status(thm)],[6377, 6376, 6368])).
% 7.19/5.12 tff(6379,plain,
% 7.19/5.12 ((v117(constB37) | v122(constB37)) | (~v117(constB37))),
% 7.19/5.12 inference(tautology,[status(thm)],[])).
% 7.19/5.12 tff(6380,plain,
% 7.19/5.12 (v117(constB37) | v122(constB37)),
% 7.19/5.12 inference(unit_resolution,[status(thm)],[6379, 6378])).
% 7.19/5.12 tff(6381,plain,
% 7.19/5.12 ((~(v116(constB37) <=> (v117(constB37) | v122(constB37)))) | v116(constB37) | (~(v117(constB37) | v122(constB37)))),
% 7.19/5.12 inference(tautology,[status(thm)],[])).
% 7.19/5.12 tff(6382,plain,
% 7.19/5.12 (v116(constB37)),
% 7.19/5.12 inference(unit_resolution,[status(thm)],[6381, 6380, 6366])).
% 7.19/5.12 tff(6383,plain,
% 7.19/5.12 ((v116(constB37) | v123(constB37)) | (~v116(constB37))),
% 7.19/5.12 inference(tautology,[status(thm)],[])).
% 7.19/5.12 tff(6384,plain,
% 7.19/5.12 (v116(constB37) | v123(constB37)),
% 7.19/5.12 inference(unit_resolution,[status(thm)],[6383, 6382])).
% 7.19/5.12 tff(6385,plain,
% 7.19/5.12 ((~(v115(constB37) <=> (v116(constB37) | v123(constB37)))) | v115(constB37) | (~(v116(constB37) | v123(constB37)))),
% 7.19/5.12 inference(tautology,[status(thm)],[])).
% 7.19/5.12 tff(6386,plain,
% 7.19/5.12 (v115(constB37)),
% 7.19/5.12 inference(unit_resolution,[status(thm)],[6385, 6384, 6364])).
% 7.19/5.12 tff(6387,plain,
% 7.19/5.12 ((v115(constB37) | v124(constB37)) | (~v115(constB37))),
% 7.19/5.12 inference(tautology,[status(thm)],[])).
% 7.19/5.12 tff(6388,plain,
% 7.19/5.12 (v115(constB37) | v124(constB37)),
% 7.19/5.12 inference(unit_resolution,[status(thm)],[6387, 6386])).
% 7.19/5.12 tff(6389,plain,
% 7.19/5.12 ((~(v114(constB37) <=> (v115(constB37) | v124(constB37)))) | v114(constB37) | (~(v115(constB37) | v124(constB37)))),
% 7.19/5.12 inference(tautology,[status(thm)],[])).
% 7.19/5.12 tff(6390,plain,
% 7.19/5.12 (v114(constB37)),
% 7.19/5.12 inference(unit_resolution,[status(thm)],[6389, 6388, 6362])).
% 7.19/5.12 tff(6391,plain,
% 7.19/5.12 ((v114(constB37) | v125(constB37)) | (~v114(constB37))),
% 7.19/5.12 inference(tautology,[status(thm)],[])).
% 7.19/5.12 tff(6392,plain,
% 7.19/5.12 (v114(constB37) | v125(constB37)),
% 7.19/5.12 inference(unit_resolution,[status(thm)],[6391, 6390])).
% 7.19/5.12 tff(6393,plain,
% 7.19/5.12 ((~(v113(constB37) <=> (v114(constB37) | v125(constB37)))) | v113(constB37) | (~(v114(constB37) | v125(constB37)))),
% 7.19/5.12 inference(tautology,[status(thm)],[])).
% 7.19/5.12 tff(6394,plain,
% 7.19/5.12 (v113(constB37)),
% 7.19/5.12 inference(unit_resolution,[status(thm)],[6393, 6392, 6360])).
% 7.19/5.12 tff(6395,plain,
% 7.19/5.12 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB37)) <=> v111(constB37))),
% 7.19/5.12 inference(quant_inst,[status(thm)],[])).
% 7.19/5.12 tff(6396,plain,
% 7.19/5.12 ((~v126(constB37)) <=> v111(constB37)),
% 7.19/5.12 inference(unit_resolution,[status(thm)],[6395, 3396])).
% 7.19/5.12 tff(6397,plain,
% 7.19/5.12 ((~((~v126(constB37)) <=> v111(constB37))) | v126(constB37) | v111(constB37)),
% 7.19/5.12 inference(tautology,[status(thm)],[])).
% 7.19/5.12 tff(6398,plain,
% 7.19/5.12 ((~((~v126(constB37)) <=> v111(constB37))) | v126(constB37)),
% 7.19/5.12 inference(unit_resolution,[status(thm)],[6397, 1977])).
% 7.19/5.12 tff(6399,plain,
% 7.19/5.12 (v126(constB37)),
% 7.19/5.12 inference(unit_resolution,[status(thm)],[6398, 6396])).
% 7.19/5.12 tff(6400,plain,
% 7.19/5.12 ((~((~v113(constB37)) | (~v126(constB37)))) | (~v113(constB37)) | (~v126(constB37))),
% 7.19/5.12 inference(tautology,[status(thm)],[])).
% 7.19/5.12 tff(6401,plain,
% 7.19/5.12 ((~((~v113(constB37)) | (~v126(constB37)))) | (~v113(constB37))),
% 7.19/5.12 inference(unit_resolution,[status(thm)],[6400, 6399])).
% 7.19/5.12 tff(6402,plain,
% 7.19/5.12 (~((~v113(constB37)) | (~v126(constB37)))),
% 7.19/5.12 inference(unit_resolution,[status(thm)],[6401, 6394])).
% 7.19/5.12 tff(6403,plain,
% 7.19/5.12 ((~(v112(constB37) <=> (~((~v113(constB37)) | (~v126(constB37)))))) | v112(constB37) | ((~v113(constB37)) | (~v126(constB37)))),
% 7.19/5.12 inference(tautology,[status(thm)],[])).
% 7.19/5.12 tff(6404,plain,
% 7.19/5.12 (v112(constB37)),
% 7.19/5.12 inference(unit_resolution,[status(thm)],[6403, 6402, 6358])).
% 7.19/5.12 tff(6405,plain,
% 7.19/5.12 ((v111(constB37) | v112(constB37)) | (~v112(constB37))),
% 7.19/5.12 inference(tautology,[status(thm)],[])).
% 7.19/5.12 tff(6406,plain,
% 7.19/5.12 (v111(constB37) | v112(constB37)),
% 7.19/5.12 inference(unit_resolution,[status(thm)],[6405, 6404])).
% 7.19/5.12 tff(6407,plain,
% 7.19/5.12 ((~(v108(constB37) <=> (v111(constB37) | v112(constB37)))) | v108(constB37) | (~(v111(constB37) | v112(constB37)))),
% 7.19/5.12 inference(tautology,[status(thm)],[])).
% 7.19/5.12 tff(6408,plain,
% 7.19/5.12 (v108(constB37)),
% 7.19/5.12 inference(unit_resolution,[status(thm)],[6407, 6406, 6356])).
% 7.19/5.12 tff(6409,plain,
% 7.19/5.12 ((~(v110(constB38) <=> v108(constB37))) | v110(constB38) | (~v108(constB37))),
% 7.19/5.12 inference(tautology,[status(thm)],[])).
% 7.19/5.12 tff(6410,plain,
% 7.19/5.12 (v110(constB38)),
% 7.19/5.12 inference(unit_resolution,[status(thm)],[6409, 6408, 6354])).
% 7.19/5.12 tff(6411,plain,
% 7.19/5.12 ((~((~v101(constB38)) | (~v110(constB38)))) | (~v101(constB38)) | (~v110(constB38))),
% 7.19/5.12 inference(tautology,[status(thm)],[])).
% 7.19/5.12 tff(6412,plain,
% 7.19/5.12 (~((~v101(constB38)) | (~v110(constB38)))),
% 7.19/5.12 inference(unit_resolution,[status(thm)],[6411, 6410, 6350])).
% 7.19/5.12 tff(6413,plain,
% 7.19/5.12 ((~(v100(constB38) <=> (~((~v101(constB38)) | (~v110(constB38)))))) | v100(constB38) | ((~v101(constB38)) | (~v110(constB38)))),
% 7.19/5.12 inference(tautology,[status(thm)],[])).
% 7.19/5.12 tff(6414,plain,
% 7.19/5.12 (v100(constB38)),
% 7.19/5.12 inference(unit_resolution,[status(thm)],[6413, 6412, 6322])).
% 7.19/5.12 tff(6415,plain,
% 7.19/5.12 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB38)) | (~(((~v90(constB38, bitIndex0)) <=> v129(constB38, bitIndex0)) | ((~v90(constB38, bitIndex2)) <=> v129(constB38, bitIndex2)) | ((~v90(constB38, bitIndex1)) <=> v129(constB38, bitIndex1)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB38)) | (~(((~v90(constB38, bitIndex0)) <=> v129(constB38, bitIndex0)) | ((~v90(constB38, bitIndex2)) <=> v129(constB38, bitIndex2)) | ((~v90(constB38, bitIndex1)) <=> v129(constB38, bitIndex1)))))),
% 7.19/5.12 inference(rewrite,[status(thm)],[])).
% 7.19/5.12 tff(6416,plain,
% 7.19/5.12 (((~v100(constB38)) | (~(((~v90(constB38, bitIndex2)) <=> v129(constB38, bitIndex2)) | ((~v90(constB38, bitIndex1)) <=> v129(constB38, bitIndex1)) | ((~v90(constB38, bitIndex0)) <=> v129(constB38, bitIndex0))))) <=> ((~v100(constB38)) | (~(((~v90(constB38, bitIndex0)) <=> v129(constB38, bitIndex0)) | ((~v90(constB38, bitIndex2)) <=> v129(constB38, bitIndex2)) | ((~v90(constB38, bitIndex1)) <=> v129(constB38, bitIndex1)))))),
% 7.19/5.12 inference(rewrite,[status(thm)],[])).
% 7.19/5.12 tff(6417,plain,
% 7.19/5.12 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB38)) | (~(((~v90(constB38, bitIndex2)) <=> v129(constB38, bitIndex2)) | ((~v90(constB38, bitIndex1)) <=> v129(constB38, bitIndex1)) | ((~v90(constB38, bitIndex0)) <=> v129(constB38, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB38)) | (~(((~v90(constB38, bitIndex0)) <=> v129(constB38, bitIndex0)) | ((~v90(constB38, bitIndex2)) <=> v129(constB38, bitIndex2)) | ((~v90(constB38, bitIndex1)) <=> v129(constB38, bitIndex1))))))),
% 7.19/5.12 inference(monotonicity,[status(thm)],[6416])).
% 7.19/5.12 tff(6418,plain,
% 7.19/5.12 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB38)) | (~(((~v90(constB38, bitIndex2)) <=> v129(constB38, bitIndex2)) | ((~v90(constB38, bitIndex1)) <=> v129(constB38, bitIndex1)) | ((~v90(constB38, bitIndex0)) <=> v129(constB38, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB38)) | (~(((~v90(constB38, bitIndex0)) <=> v129(constB38, bitIndex0)) | ((~v90(constB38, bitIndex2)) <=> v129(constB38, bitIndex2)) | ((~v90(constB38, bitIndex1)) <=> v129(constB38, bitIndex1)))))),
% 7.19/5.12 inference(transitivity,[status(thm)],[6417, 6415])).
% 7.19/5.12 tff(6419,plain,
% 7.19/5.12 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB38)) | (~(((~v90(constB38, bitIndex2)) <=> v129(constB38, bitIndex2)) | ((~v90(constB38, bitIndex1)) <=> v129(constB38, bitIndex1)) | ((~v90(constB38, bitIndex0)) <=> v129(constB38, bitIndex0)))))),
% 7.19/5.12 inference(quant_inst,[status(thm)],[])).
% 7.19/5.12 tff(6420,plain,
% 7.19/5.12 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB38)) | (~(((~v90(constB38, bitIndex0)) <=> v129(constB38, bitIndex0)) | ((~v90(constB38, bitIndex2)) <=> v129(constB38, bitIndex2)) | ((~v90(constB38, bitIndex1)) <=> v129(constB38, bitIndex1))))),
% 7.19/5.12 inference(modus_ponens,[status(thm)],[6419, 6418])).
% 7.19/5.12 tff(6421,plain,
% 7.19/5.12 ((~v100(constB38)) | (~(((~v90(constB38, bitIndex0)) <=> v129(constB38, bitIndex0)) | ((~v90(constB38, bitIndex2)) <=> v129(constB38, bitIndex2)) | ((~v90(constB38, bitIndex1)) <=> v129(constB38, bitIndex1))))),
% 7.19/5.12 inference(unit_resolution,[status(thm)],[6420, 3429])).
% 7.19/5.12 tff(6422,plain,
% 7.19/5.12 (~(((~v90(constB38, bitIndex0)) <=> v129(constB38, bitIndex0)) | ((~v90(constB38, bitIndex2)) <=> v129(constB38, bitIndex2)) | ((~v90(constB38, bitIndex1)) <=> v129(constB38, bitIndex1)))),
% 7.19/5.12 inference(unit_resolution,[status(thm)],[6421, 6414])).
% 7.19/5.12 tff(6423,plain,
% 7.19/5.12 ((((~v90(constB38, bitIndex0)) <=> v129(constB38, bitIndex0)) | ((~v90(constB38, bitIndex2)) <=> v129(constB38, bitIndex2)) | ((~v90(constB38, bitIndex1)) <=> v129(constB38, bitIndex1))) | (~((~v90(constB38, bitIndex2)) <=> v129(constB38, bitIndex2)))),
% 7.19/5.12 inference(tautology,[status(thm)],[])).
% 7.19/5.12 tff(6424,plain,
% 7.19/5.12 (~((~v90(constB38, bitIndex2)) <=> v129(constB38, bitIndex2))),
% 7.19/5.12 inference(unit_resolution,[status(thm)],[6423, 6422])).
% 7.19/5.12 tff(6425,plain,
% 7.19/5.12 (((~v90(constB38, bitIndex2)) <=> v129(constB38, bitIndex2)) | (~v90(constB38, bitIndex2)) | v129(constB38, bitIndex2)),
% 7.19/5.12 inference(tautology,[status(thm)],[])).
% 7.19/5.12 tff(6426,plain,
% 7.19/5.12 (~v90(constB38, bitIndex2)),
% 7.19/5.12 inference(unit_resolution,[status(thm)],[6425, 6424, 6318])).
% 7.19/5.12 tff(6427,plain,
% 7.19/5.12 (((~v90(constB39, bitIndex2)) <=> v90(constB38, bitIndex2)) | (~v90(constB39, bitIndex2)) | v90(constB38, bitIndex2)),
% 7.19/5.12 inference(tautology,[status(thm)],[])).
% 7.19/5.12 tff(6428,plain,
% 7.19/5.12 (~v90(constB39, bitIndex2)),
% 7.19/5.12 inference(unit_resolution,[status(thm)],[6427, 6426, 1961])).
% 7.19/5.12 tff(6429,plain,
% 7.19/5.12 ((((~v90(constB39, bitIndex1)) <=> v90(constB38, bitIndex1)) | ((~v90(constB39, bitIndex2)) <=> v90(constB38, bitIndex2)) | ((~v90(constB39, bitIndex0)) <=> v90(constB38, bitIndex0))) | (~((~v90(constB39, bitIndex0)) <=> v90(constB38, bitIndex0)))),
% 7.19/5.12 inference(tautology,[status(thm)],[])).
% 7.19/5.12 tff(6430,plain,
% 7.19/5.12 (~((~v90(constB39, bitIndex0)) <=> v90(constB38, bitIndex0))),
% 7.19/5.12 inference(unit_resolution,[status(thm)],[6429, 1959])).
% 7.19/5.12 tff(6431,plain,
% 7.19/5.12 ((((~v129(constB38, bitIndex2)) <=> v127(constB37, bitIndex2)) | ((~v129(constB38, bitIndex1)) <=> v127(constB37, bitIndex1)) | ((~v129(constB38, bitIndex0)) <=> v127(constB37, bitIndex0))) | (~((~v129(constB38, bitIndex0)) <=> v127(constB37, bitIndex0)))),
% 7.19/5.12 inference(tautology,[status(thm)],[])).
% 7.19/5.12 tff(6432,plain,
% 7.19/5.12 (~((~v129(constB38, bitIndex0)) <=> v127(constB37, bitIndex0))),
% 7.19/5.12 inference(unit_resolution,[status(thm)],[6431, 1968])).
% 7.19/5.12 tff(6433,plain,
% 7.19/5.12 ((((~v127(constB37, bitIndex2)) <=> v130(constB37, bitIndex2)) | ((~v127(constB37, bitIndex1)) <=> v130(constB37, bitIndex1)) | ((~v127(constB37, bitIndex0)) <=> v130(constB37, bitIndex0))) | (~((~v127(constB37, bitIndex0)) <=> v130(constB37, bitIndex0)))),
% 7.19/5.12 inference(tautology,[status(thm)],[])).
% 7.19/5.12 tff(6434,plain,
% 7.19/5.12 (~((~v127(constB37, bitIndex0)) <=> v130(constB37, bitIndex0))),
% 7.19/5.12 inference(unit_resolution,[status(thm)],[6433, 1982])).
% 7.19/5.12 tff(6435,plain,
% 7.19/5.12 ((v130(constB37, bitIndex2) | v130(constB37, bitIndex0) | (~v130(constB37, bitIndex1))) | (~v130(constB37, bitIndex0))),
% 7.19/5.12 inference(tautology,[status(thm)],[])).
% 7.19/5.12 tff(6436,plain,
% 7.19/5.12 (~v130(constB37, bitIndex0)),
% 7.19/5.12 inference(unit_resolution,[status(thm)],[6435, 6312])).
% 7.19/5.12 tff(6437,plain,
% 7.19/5.12 (((~v127(constB37, bitIndex0)) <=> v130(constB37, bitIndex0)) | (~v127(constB37, bitIndex0)) | v130(constB37, bitIndex0)),
% 7.19/5.12 inference(tautology,[status(thm)],[])).
% 7.19/5.12 tff(6438,plain,
% 7.19/5.12 (~v127(constB37, bitIndex0)),
% 7.19/5.12 inference(unit_resolution,[status(thm)],[6437, 6436, 6434])).
% 7.19/5.12 tff(6439,plain,
% 7.19/5.12 (((~v129(constB38, bitIndex0)) <=> v127(constB37, bitIndex0)) | (~v129(constB38, bitIndex0)) | v127(constB37, bitIndex0)),
% 7.19/5.12 inference(tautology,[status(thm)],[])).
% 7.19/5.12 tff(6440,plain,
% 7.19/5.12 (~v129(constB38, bitIndex0)),
% 7.19/5.12 inference(unit_resolution,[status(thm)],[6439, 6438, 6432])).
% 7.19/5.12 tff(6441,plain,
% 7.19/5.12 ((((~v90(constB38, bitIndex0)) <=> v129(constB38, bitIndex0)) | ((~v90(constB38, bitIndex2)) <=> v129(constB38, bitIndex2)) | ((~v90(constB38, bitIndex1)) <=> v129(constB38, bitIndex1))) | (~((~v90(constB38, bitIndex0)) <=> v129(constB38, bitIndex0)))),
% 7.19/5.12 inference(tautology,[status(thm)],[])).
% 7.19/5.12 tff(6442,plain,
% 7.19/5.12 (~((~v90(constB38, bitIndex0)) <=> v129(constB38, bitIndex0))),
% 7.19/5.12 inference(unit_resolution,[status(thm)],[6441, 6422])).
% 7.19/5.12 tff(6443,plain,
% 7.19/5.12 (((~v90(constB38, bitIndex0)) <=> v129(constB38, bitIndex0)) | (~v90(constB38, bitIndex0)) | v129(constB38, bitIndex0)),
% 7.19/5.12 inference(tautology,[status(thm)],[])).
% 7.19/5.12 tff(6444,plain,
% 7.19/5.12 (~v90(constB38, bitIndex0)),
% 7.19/5.12 inference(unit_resolution,[status(thm)],[6443, 6442, 6440])).
% 7.19/5.12 tff(6445,plain,
% 7.19/5.12 (((~v90(constB39, bitIndex0)) <=> v90(constB38, bitIndex0)) | (~v90(constB39, bitIndex0)) | v90(constB38, bitIndex0)),
% 7.19/5.12 inference(tautology,[status(thm)],[])).
% 7.19/5.12 tff(6446,plain,
% 7.19/5.12 (~v90(constB39, bitIndex0)),
% 7.19/5.12 inference(unit_resolution,[status(thm)],[6445, 6444, 6430])).
% 7.19/5.12 tff(6447,plain,
% 7.19/5.12 ((((~v90(constB39, bitIndex1)) <=> v90(constB38, bitIndex1)) | ((~v90(constB39, bitIndex2)) <=> v90(constB38, bitIndex2)) | ((~v90(constB39, bitIndex0)) <=> v90(constB38, bitIndex0))) | (~((~v90(constB39, bitIndex1)) <=> v90(constB38, bitIndex1)))),
% 7.19/5.12 inference(tautology,[status(thm)],[])).
% 7.19/5.12 tff(6448,plain,
% 7.19/5.12 (~((~v90(constB39, bitIndex1)) <=> v90(constB38, bitIndex1))),
% 7.19/5.12 inference(unit_resolution,[status(thm)],[6447, 1959])).
% 7.19/5.12 tff(6449,plain,
% 7.19/5.12 ((((~v129(constB38, bitIndex2)) <=> v127(constB37, bitIndex2)) | ((~v129(constB38, bitIndex1)) <=> v127(constB37, bitIndex1)) | ((~v129(constB38, bitIndex0)) <=> v127(constB37, bitIndex0))) | (~((~v129(constB38, bitIndex1)) <=> v127(constB37, bitIndex1)))),
% 7.19/5.12 inference(tautology,[status(thm)],[])).
% 7.19/5.12 tff(6450,plain,
% 7.19/5.12 (~((~v129(constB38, bitIndex1)) <=> v127(constB37, bitIndex1))),
% 7.19/5.12 inference(unit_resolution,[status(thm)],[6449, 1968])).
% 7.19/5.12 tff(6451,plain,
% 7.19/5.12 ((((~v127(constB37, bitIndex2)) <=> v130(constB37, bitIndex2)) | ((~v127(constB37, bitIndex1)) <=> v130(constB37, bitIndex1)) | ((~v127(constB37, bitIndex0)) <=> v130(constB37, bitIndex0))) | (~((~v127(constB37, bitIndex1)) <=> v130(constB37, bitIndex1)))),
% 7.19/5.12 inference(tautology,[status(thm)],[])).
% 7.19/5.12 tff(6452,plain,
% 7.19/5.12 (~((~v127(constB37, bitIndex1)) <=> v130(constB37, bitIndex1))),
% 7.19/5.12 inference(unit_resolution,[status(thm)],[6451, 1982])).
% 7.19/5.12 tff(6453,plain,
% 7.19/5.12 ((v130(constB37, bitIndex2) | v130(constB37, bitIndex0) | (~v130(constB37, bitIndex1))) | v130(constB37, bitIndex1)),
% 7.19/5.12 inference(tautology,[status(thm)],[])).
% 7.19/5.12 tff(6454,plain,
% 7.19/5.12 (v130(constB37, bitIndex1)),
% 7.19/5.12 inference(unit_resolution,[status(thm)],[6453, 6312])).
% 7.19/5.12 tff(6455,plain,
% 7.19/5.12 (((~v127(constB37, bitIndex1)) <=> v130(constB37, bitIndex1)) | v127(constB37, bitIndex1) | (~v130(constB37, bitIndex1))),
% 7.19/5.12 inference(tautology,[status(thm)],[])).
% 7.19/5.12 tff(6456,plain,
% 7.19/5.12 (v127(constB37, bitIndex1)),
% 7.19/5.12 inference(unit_resolution,[status(thm)],[6455, 6454, 6452])).
% 7.19/5.12 tff(6457,plain,
% 7.19/5.12 (((~v129(constB38, bitIndex1)) <=> v127(constB37, bitIndex1)) | v129(constB38, bitIndex1) | (~v127(constB37, bitIndex1))),
% 7.19/5.12 inference(tautology,[status(thm)],[])).
% 7.19/5.12 tff(6458,plain,
% 7.19/5.12 (v129(constB38, bitIndex1)),
% 7.19/5.12 inference(unit_resolution,[status(thm)],[6457, 6456, 6450])).
% 7.19/5.12 tff(6459,plain,
% 7.19/5.12 ((((~v90(constB38, bitIndex0)) <=> v129(constB38, bitIndex0)) | ((~v90(constB38, bitIndex2)) <=> v129(constB38, bitIndex2)) | ((~v90(constB38, bitIndex1)) <=> v129(constB38, bitIndex1))) | (~((~v90(constB38, bitIndex1)) <=> v129(constB38, bitIndex1)))),
% 7.19/5.12 inference(tautology,[status(thm)],[])).
% 7.19/5.12 tff(6460,plain,
% 7.19/5.12 (~((~v90(constB38, bitIndex1)) <=> v129(constB38, bitIndex1))),
% 7.19/5.12 inference(unit_resolution,[status(thm)],[6459, 6422])).
% 7.19/5.12 tff(6461,plain,
% 7.19/5.12 (((~v90(constB38, bitIndex1)) <=> v129(constB38, bitIndex1)) | v90(constB38, bitIndex1) | (~v129(constB38, bitIndex1))),
% 7.19/5.12 inference(tautology,[status(thm)],[])).
% 7.19/5.12 tff(6462,plain,
% 7.19/5.12 (v90(constB38, bitIndex1)),
% 7.19/5.12 inference(unit_resolution,[status(thm)],[6461, 6460, 6458])).
% 7.19/5.12 tff(6463,plain,
% 7.19/5.12 (((~v90(constB39, bitIndex1)) <=> v90(constB38, bitIndex1)) | v90(constB39, bitIndex1) | (~v90(constB38, bitIndex1))),
% 7.19/5.12 inference(tautology,[status(thm)],[])).
% 7.19/5.12 tff(6464,plain,
% 7.19/5.12 (v90(constB39, bitIndex1)),
% 7.19/5.12 inference(unit_resolution,[status(thm)],[6463, 6462, 6448])).
% 7.19/5.12 tff(6465,plain,
% 7.19/5.12 ((~(v90(constB39, bitIndex2) | v90(constB39, bitIndex0) | (~v90(constB39, bitIndex1)))) | v90(constB39, bitIndex2) | v90(constB39, bitIndex0) | (~v90(constB39, bitIndex1))),
% 7.19/5.12 inference(tautology,[status(thm)],[])).
% 7.19/5.12 tff(6466,plain,
% 7.19/5.12 (~(v90(constB39, bitIndex2) | v90(constB39, bitIndex0) | (~v90(constB39, bitIndex1)))),
% 7.19/5.12 inference(unit_resolution,[status(thm)],[6465, 6464, 6446, 6428])).
% 7.19/5.12 tff(6467,plain,
% 7.19/5.12 ((~(v121(constB39) <=> (~(v90(constB39, bitIndex2) | v90(constB39, bitIndex0) | (~v90(constB39, bitIndex1)))))) | v121(constB39) | (v90(constB39, bitIndex2) | v90(constB39, bitIndex0) | (~v90(constB39, bitIndex1)))),
% 7.19/5.12 inference(tautology,[status(thm)],[])).
% 7.19/5.12 tff(6468,plain,
% 7.19/5.12 (v121(constB39)),
% 7.19/5.12 inference(unit_resolution,[status(thm)],[6467, 6466, 1925])).
% 7.19/5.12 tff(6469,plain,
% 7.19/5.12 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB39)) | (~(v130(constB39, bitIndex2) | (~v130(constB39, bitIndex1)) | (~v130(constB39, bitIndex0)))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | (~v121(constB39)) | (~(v130(constB39, bitIndex2) | (~v130(constB39, bitIndex1)) | (~v130(constB39, bitIndex0)))))),
% 7.19/5.12 inference(rewrite,[status(thm)],[])).
% 7.19/5.12 tff(6470,plain,
% 7.19/5.12 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB39)) | (~(v130(constB39, bitIndex2) | (~v130(constB39, bitIndex1)) | (~v130(constB39, bitIndex0)))))),
% 7.19/5.12 inference(quant_inst,[status(thm)],[])).
% 7.19/5.12 tff(6471,plain,
% 7.19/5.12 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | (~v121(constB39)) | (~(v130(constB39, bitIndex2) | (~v130(constB39, bitIndex1)) | (~v130(constB39, bitIndex0))))),
% 7.19/5.12 inference(modus_ponens,[status(thm)],[6470, 6469])).
% 7.19/5.12 tff(6472,plain,
% 7.19/5.12 ((~v121(constB39)) | (~(v130(constB39, bitIndex2) | (~v130(constB39, bitIndex1)) | (~v130(constB39, bitIndex0))))),
% 7.19/5.12 inference(unit_resolution,[status(thm)],[6471, 4055])).
% 7.19/5.12 tff(6473,plain,
% 7.19/5.12 (~(v130(constB39, bitIndex2) | (~v130(constB39, bitIndex1)) | (~v130(constB39, bitIndex0)))),
% 7.19/5.12 inference(unit_resolution,[status(thm)],[6472, 6468])).
% 7.19/5.12 tff(6474,plain,
% 7.19/5.12 ((v130(constB39, bitIndex2) | (~v130(constB39, bitIndex1)) | (~v130(constB39, bitIndex0))) | (~v130(constB39, bitIndex2))),
% 7.19/5.12 inference(tautology,[status(thm)],[])).
% 7.19/5.12 tff(6475,plain,
% 7.19/5.12 (~v130(constB39, bitIndex2)),
% 7.19/5.12 inference(unit_resolution,[status(thm)],[6474, 6473])).
% 7.19/5.12 tff(6476,plain,
% 7.19/5.12 (((~v127(constB39, bitIndex2)) <=> v130(constB39, bitIndex2)) | (~v127(constB39, bitIndex2)) | v130(constB39, bitIndex2)),
% 7.19/5.12 inference(tautology,[status(thm)],[])).
% 7.19/5.12 tff(6477,plain,
% 7.19/5.12 (~v127(constB39, bitIndex2)),
% 7.19/5.12 inference(unit_resolution,[status(thm)],[6476, 6475, 1918])).
% 7.19/5.12 tff(6478,plain,
% 7.19/5.12 (((~v129(constB40, bitIndex2)) <=> v127(constB39, bitIndex2)) | (~v129(constB40, bitIndex2)) | v127(constB39, bitIndex2)),
% 7.19/5.12 inference(tautology,[status(thm)],[])).
% 7.19/5.12 tff(6479,plain,
% 7.19/5.12 (~v129(constB40, bitIndex2)),
% 7.19/5.12 inference(unit_resolution,[status(thm)],[6478, 6477, 1904])).
% 7.19/5.12 tff(6480,plain,
% 7.19/5.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB39, constB40)) | (v100(constB40) <=> (~((~v101(constB40)) | (~v110(constB40))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB39, constB40)) | (v100(constB40) <=> (~((~v101(constB40)) | (~v110(constB40))))))),
% 7.19/5.12 inference(rewrite,[status(thm)],[])).
% 7.19/5.12 tff(6481,plain,
% 7.19/5.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB39, constB40)) | (v100(constB40) <=> (~((~v101(constB40)) | (~v110(constB40))))))),
% 7.19/5.12 inference(quant_inst,[status(thm)],[])).
% 7.19/5.12 tff(6482,plain,
% 7.19/5.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB39, constB40)) | (v100(constB40) <=> (~((~v101(constB40)) | (~v110(constB40)))))),
% 7.19/5.12 inference(modus_ponens,[status(thm)],[6481, 6480])).
% 7.19/5.12 tff(6483,plain,
% 7.19/5.12 (v100(constB40) <=> (~((~v101(constB40)) | (~v110(constB40))))),
% 7.19/5.12 inference(unit_resolution,[status(thm)],[6482, 1898, 445])).
% 7.19/5.12 tff(6484,plain,
% 7.19/5.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB39, constB40)) | (v101(constB40) <=> (~((~v1(constB40)) | (~v102(constB40))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB39, constB40)) | (v101(constB40) <=> (~((~v1(constB40)) | (~v102(constB40))))))),
% 7.19/5.12 inference(rewrite,[status(thm)],[])).
% 7.19/5.12 tff(6485,plain,
% 7.19/5.12 (((~nextState(constB39, constB40)) | (v101(constB40) <=> (~((~v102(constB40)) | (~v1(constB40)))))) <=> ((~nextState(constB39, constB40)) | (v101(constB40) <=> (~((~v1(constB40)) | (~v102(constB40))))))),
% 7.19/5.12 inference(rewrite,[status(thm)],[])).
% 7.19/5.12 tff(6486,plain,
% 7.19/5.12 (((~![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) <=> (~((~v1(constB40)) | (~v102(constB40)))))))),
% 7.19/5.12 inference(monotonicity,[status(thm)],[6485])).
% 7.19/5.12 tff(6487,plain,
% 7.19/5.12 (((~![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) <=> (~((~v1(constB40)) | (~v102(constB40))))))),
% 7.19/5.12 inference(transitivity,[status(thm)],[6486, 6484])).
% 7.19/5.12 tff(6488,plain,
% 7.19/5.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB39, constB40)) | (v101(constB40) <=> (~((~v102(constB40)) | (~v1(constB40))))))),
% 7.19/5.12 inference(quant_inst,[status(thm)],[])).
% 7.19/5.12 tff(6489,plain,
% 7.19/5.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB39, constB40)) | (v101(constB40) <=> (~((~v1(constB40)) | (~v102(constB40)))))),
% 7.19/5.12 inference(modus_ponens,[status(thm)],[6488, 6487])).
% 7.19/5.12 tff(6490,plain,
% 7.19/5.12 (v101(constB40) <=> (~((~v1(constB40)) | (~v102(constB40))))),
% 7.19/5.12 inference(unit_resolution,[status(thm)],[6489, 1898, 465])).
% 7.19/5.12 tff(6491,plain,
% 7.19/5.12 (((~![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)))),
% 7.19/5.12 inference(rewrite,[status(thm)],[])).
% 7.19/5.12 tff(6492,plain,
% 7.19/5.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB39, constB40)) | ((~v102(constB40)) <=> v104(constB40)))),
% 7.19/5.12 inference(quant_inst,[status(thm)],[])).
% 7.19/5.12 tff(6493,plain,
% 7.19/5.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB39, constB40)) | ((~v102(constB40)) <=> v104(constB40))),
% 7.19/5.12 inference(modus_ponens,[status(thm)],[6492, 6491])).
% 7.19/5.12 tff(6494,plain,
% 7.19/5.12 ((~v102(constB40)) <=> v104(constB40)),
% 7.19/5.12 inference(unit_resolution,[status(thm)],[6493, 1898, 3244])).
% 7.19/5.12 tff(6495,plain,
% 7.19/5.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB39, constB40)) | (v104(constB40) <=> v1(constB39)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB39, constB40)) | (v104(constB40) <=> v1(constB39)))),
% 7.19/5.12 inference(rewrite,[status(thm)],[])).
% 7.19/5.12 tff(6496,plain,
% 7.19/5.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB39, constB40)) | (v104(constB40) <=> v1(constB39)))),
% 7.19/5.12 inference(quant_inst,[status(thm)],[])).
% 7.19/5.12 tff(6497,plain,
% 7.19/5.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB39, constB40)) | (v104(constB40) <=> v1(constB39))),
% 7.19/5.12 inference(modus_ponens,[status(thm)],[6496, 6495])).
% 7.19/5.12 tff(6498,plain,
% 7.19/5.12 (v104(constB40) <=> v1(constB39)),
% 7.19/5.12 inference(unit_resolution,[status(thm)],[6497, 1898, 3258])).
% 7.19/5.12 tff(6499,plain,
% 7.19/5.12 ((~(v104(constB40) <=> v1(constB39))) | (~v104(constB40)) | v1(constB39)),
% 7.19/5.12 inference(tautology,[status(thm)],[])).
% 7.19/5.12 tff(6500,plain,
% 7.19/5.12 ((~(v104(constB40) <=> v1(constB39))) | (~v104(constB40))),
% 7.19/5.12 inference(unit_resolution,[status(thm)],[6499, 1942])).
% 7.19/5.12 tff(6501,plain,
% 7.19/5.12 (~v104(constB40)),
% 7.19/5.12 inference(unit_resolution,[status(thm)],[6500, 6498])).
% 7.19/5.12 tff(6502,plain,
% 7.19/5.12 ((~((~v102(constB40)) <=> v104(constB40))) | v102(constB40) | v104(constB40)),
% 7.19/5.12 inference(tautology,[status(thm)],[])).
% 7.19/5.12 tff(6503,plain,
% 7.19/5.12 (v102(constB40)),
% 7.19/5.12 inference(unit_resolution,[status(thm)],[6502, 6501, 6494])).
% 7.19/5.12 tff(6504,plain,
% 7.19/5.12 (v1(constB40) <=> v1(constB40)),
% 7.19/5.12 inference(rewrite,[status(thm)],[])).
% 7.19/5.13 tff(6505,axiom,(v1(constB40)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_40')).
% 7.19/5.13 tff(6506,plain,
% 7.19/5.13 (v1(constB40)),
% 7.19/5.13 inference(modus_ponens,[status(thm)],[6505, 6504])).
% 7.19/5.13 tff(6507,plain,
% 7.19/5.13 ((~((~v1(constB40)) | (~v102(constB40)))) | (~v1(constB40)) | (~v102(constB40))),
% 7.19/5.13 inference(tautology,[status(thm)],[])).
% 7.19/5.13 tff(6508,plain,
% 7.19/5.13 ((~((~v1(constB40)) | (~v102(constB40)))) | (~v102(constB40))),
% 7.19/5.13 inference(unit_resolution,[status(thm)],[6507, 6506])).
% 7.19/5.13 tff(6509,plain,
% 7.19/5.13 (~((~v1(constB40)) | (~v102(constB40)))),
% 7.19/5.13 inference(unit_resolution,[status(thm)],[6508, 6503])).
% 7.19/5.13 tff(6510,plain,
% 7.19/5.13 ((~(v101(constB40) <=> (~((~v1(constB40)) | (~v102(constB40)))))) | v101(constB40) | ((~v1(constB40)) | (~v102(constB40)))),
% 7.19/5.13 inference(tautology,[status(thm)],[])).
% 7.19/5.13 tff(6511,plain,
% 7.19/5.13 (v101(constB40)),
% 7.19/5.13 inference(unit_resolution,[status(thm)],[6510, 6509, 6490])).
% 7.19/5.13 tff(6512,plain,
% 7.19/5.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB39, constB40)) | (v110(constB40) <=> v108(constB39)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB39, constB40)) | (v110(constB40) <=> v108(constB39)))),
% 7.19/5.13 inference(rewrite,[status(thm)],[])).
% 7.19/5.13 tff(6513,plain,
% 7.19/5.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB39, constB40)) | (v110(constB40) <=> v108(constB39)))),
% 7.19/5.13 inference(quant_inst,[status(thm)],[])).
% 7.19/5.13 tff(6514,plain,
% 7.19/5.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB39, constB40)) | (v110(constB40) <=> v108(constB39))),
% 7.19/5.13 inference(modus_ponens,[status(thm)],[6513, 6512])).
% 7.19/5.13 tff(6515,plain,
% 7.19/5.13 (v110(constB40) <=> v108(constB39)),
% 7.19/5.13 inference(unit_resolution,[status(thm)],[6514, 1898, 3285])).
% 7.19/5.13 tff(6516,plain,
% 7.19/5.13 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB39) <=> (v111(constB39) | v112(constB39)))),
% 7.19/5.13 inference(quant_inst,[status(thm)],[])).
% 7.19/5.13 tff(6517,plain,
% 7.19/5.13 (v108(constB39) <=> (v111(constB39) | v112(constB39))),
% 7.19/5.13 inference(unit_resolution,[status(thm)],[6516, 3296])).
% 7.19/5.13 tff(6518,plain,
% 7.19/5.13 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB39) <=> (~((~v113(constB39)) | (~v126(constB39)))))),
% 7.19/5.13 inference(quant_inst,[status(thm)],[])).
% 7.19/5.13 tff(6519,plain,
% 7.19/5.13 (v112(constB39) <=> (~((~v113(constB39)) | (~v126(constB39))))),
% 7.19/5.13 inference(unit_resolution,[status(thm)],[6518, 3308])).
% 7.19/5.13 tff(6520,plain,
% 7.19/5.13 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB39) <=> (v114(constB39) | v125(constB39)))),
% 7.19/5.13 inference(quant_inst,[status(thm)],[])).
% 7.19/5.13 tff(6521,plain,
% 7.19/5.13 (v113(constB39) <=> (v114(constB39) | v125(constB39))),
% 7.19/5.13 inference(unit_resolution,[status(thm)],[6520, 3317])).
% 7.19/5.13 tff(6522,plain,
% 7.19/5.13 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB39) <=> (v115(constB39) | v124(constB39)))),
% 7.19/5.13 inference(quant_inst,[status(thm)],[])).
% 7.19/5.13 tff(6523,plain,
% 7.19/5.13 (v114(constB39) <=> (v115(constB39) | v124(constB39))),
% 7.19/5.13 inference(unit_resolution,[status(thm)],[6522, 3326])).
% 7.19/5.13 tff(6524,plain,
% 7.19/5.13 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB39) <=> (v116(constB39) | v123(constB39)))),
% 7.19/5.13 inference(quant_inst,[status(thm)],[])).
% 7.19/5.13 tff(6525,plain,
% 7.19/5.13 (v115(constB39) <=> (v116(constB39) | v123(constB39))),
% 7.19/5.13 inference(unit_resolution,[status(thm)],[6524, 3335])).
% 7.19/5.13 tff(6526,plain,
% 7.19/5.13 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB39) <=> (v117(constB39) | v122(constB39)))),
% 7.19/5.13 inference(quant_inst,[status(thm)],[])).
% 7.19/5.13 tff(6527,plain,
% 7.19/5.13 (v116(constB39) <=> (v117(constB39) | v122(constB39))),
% 7.19/5.13 inference(unit_resolution,[status(thm)],[6526, 3344])).
% 7.19/5.13 tff(6528,plain,
% 7.19/5.13 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB39) <=> (v118(constB39) | v121(constB39)))),
% 7.19/5.13 inference(quant_inst,[status(thm)],[])).
% 7.19/5.13 tff(6529,plain,
% 7.19/5.13 (v117(constB39) <=> (v118(constB39) | v121(constB39))),
% 7.19/5.13 inference(unit_resolution,[status(thm)],[6528, 3353])).
% 7.19/5.13 tff(6530,plain,
% 7.19/5.13 ((v118(constB39) | v121(constB39)) | (~v121(constB39))),
% 7.19/5.13 inference(tautology,[status(thm)],[])).
% 7.19/5.13 tff(6531,plain,
% 7.19/5.13 (v118(constB39) | v121(constB39)),
% 7.19/5.13 inference(unit_resolution,[status(thm)],[6530, 6468])).
% 7.19/5.13 tff(6532,plain,
% 7.19/5.13 ((~(v117(constB39) <=> (v118(constB39) | v121(constB39)))) | v117(constB39) | (~(v118(constB39) | v121(constB39)))),
% 7.19/5.13 inference(tautology,[status(thm)],[])).
% 7.19/5.13 tff(6533,plain,
% 7.19/5.13 (v117(constB39)),
% 7.19/5.13 inference(unit_resolution,[status(thm)],[6532, 6531, 6529])).
% 7.19/5.13 tff(6534,plain,
% 7.19/5.13 ((v117(constB39) | v122(constB39)) | (~v117(constB39))),
% 7.19/5.13 inference(tautology,[status(thm)],[])).
% 7.19/5.13 tff(6535,plain,
% 7.19/5.13 (v117(constB39) | v122(constB39)),
% 7.19/5.13 inference(unit_resolution,[status(thm)],[6534, 6533])).
% 7.19/5.13 tff(6536,plain,
% 7.19/5.13 ((~(v116(constB39) <=> (v117(constB39) | v122(constB39)))) | v116(constB39) | (~(v117(constB39) | v122(constB39)))),
% 7.19/5.13 inference(tautology,[status(thm)],[])).
% 7.19/5.13 tff(6537,plain,
% 7.19/5.13 (v116(constB39)),
% 7.19/5.13 inference(unit_resolution,[status(thm)],[6536, 6535, 6527])).
% 7.19/5.13 tff(6538,plain,
% 7.19/5.13 ((v116(constB39) | v123(constB39)) | (~v116(constB39))),
% 7.19/5.13 inference(tautology,[status(thm)],[])).
% 7.19/5.13 tff(6539,plain,
% 7.19/5.13 (v116(constB39) | v123(constB39)),
% 7.19/5.13 inference(unit_resolution,[status(thm)],[6538, 6537])).
% 7.19/5.13 tff(6540,plain,
% 7.19/5.13 ((~(v115(constB39) <=> (v116(constB39) | v123(constB39)))) | v115(constB39) | (~(v116(constB39) | v123(constB39)))),
% 7.19/5.13 inference(tautology,[status(thm)],[])).
% 7.19/5.13 tff(6541,plain,
% 7.19/5.13 (v115(constB39)),
% 7.19/5.13 inference(unit_resolution,[status(thm)],[6540, 6539, 6525])).
% 7.19/5.13 tff(6542,plain,
% 7.19/5.13 ((v115(constB39) | v124(constB39)) | (~v115(constB39))),
% 7.19/5.13 inference(tautology,[status(thm)],[])).
% 7.19/5.13 tff(6543,plain,
% 7.19/5.13 (v115(constB39) | v124(constB39)),
% 7.19/5.13 inference(unit_resolution,[status(thm)],[6542, 6541])).
% 7.19/5.13 tff(6544,plain,
% 7.19/5.13 ((~(v114(constB39) <=> (v115(constB39) | v124(constB39)))) | v114(constB39) | (~(v115(constB39) | v124(constB39)))),
% 7.19/5.13 inference(tautology,[status(thm)],[])).
% 7.19/5.13 tff(6545,plain,
% 7.19/5.13 (v114(constB39)),
% 7.19/5.13 inference(unit_resolution,[status(thm)],[6544, 6543, 6523])).
% 7.19/5.13 tff(6546,plain,
% 7.19/5.13 ((v114(constB39) | v125(constB39)) | (~v114(constB39))),
% 7.19/5.13 inference(tautology,[status(thm)],[])).
% 7.19/5.13 tff(6547,plain,
% 7.19/5.13 (v114(constB39) | v125(constB39)),
% 7.19/5.13 inference(unit_resolution,[status(thm)],[6546, 6545])).
% 7.19/5.13 tff(6548,plain,
% 7.19/5.13 ((~(v113(constB39) <=> (v114(constB39) | v125(constB39)))) | v113(constB39) | (~(v114(constB39) | v125(constB39)))),
% 7.19/5.13 inference(tautology,[status(thm)],[])).
% 7.19/5.13 tff(6549,plain,
% 7.19/5.13 (v113(constB39)),
% 7.19/5.13 inference(unit_resolution,[status(thm)],[6548, 6547, 6521])).
% 7.19/5.13 tff(6550,plain,
% 7.19/5.13 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB39)) <=> v111(constB39))),
% 7.19/5.13 inference(quant_inst,[status(thm)],[])).
% 7.19/5.13 tff(6551,plain,
% 7.19/5.13 ((~v126(constB39)) <=> v111(constB39)),
% 7.19/5.13 inference(unit_resolution,[status(thm)],[6550, 3396])).
% 7.19/5.13 tff(6552,plain,
% 7.19/5.13 ((~((~v126(constB39)) <=> v111(constB39))) | v126(constB39) | v111(constB39)),
% 7.19/5.13 inference(tautology,[status(thm)],[])).
% 7.19/5.13 tff(6553,plain,
% 7.19/5.13 ((~((~v126(constB39)) <=> v111(constB39))) | v126(constB39)),
% 7.19/5.13 inference(unit_resolution,[status(thm)],[6552, 1911])).
% 7.19/5.13 tff(6554,plain,
% 7.19/5.13 (v126(constB39)),
% 7.19/5.13 inference(unit_resolution,[status(thm)],[6553, 6551])).
% 7.19/5.13 tff(6555,plain,
% 7.19/5.13 ((~((~v113(constB39)) | (~v126(constB39)))) | (~v113(constB39)) | (~v126(constB39))),
% 7.19/5.13 inference(tautology,[status(thm)],[])).
% 7.19/5.13 tff(6556,plain,
% 7.19/5.13 ((~((~v113(constB39)) | (~v126(constB39)))) | (~v113(constB39))),
% 7.19/5.13 inference(unit_resolution,[status(thm)],[6555, 6554])).
% 7.19/5.13 tff(6557,plain,
% 7.19/5.13 (~((~v113(constB39)) | (~v126(constB39)))),
% 7.19/5.13 inference(unit_resolution,[status(thm)],[6556, 6549])).
% 7.19/5.13 tff(6558,plain,
% 7.19/5.13 ((~(v112(constB39) <=> (~((~v113(constB39)) | (~v126(constB39)))))) | v112(constB39) | ((~v113(constB39)) | (~v126(constB39)))),
% 7.19/5.13 inference(tautology,[status(thm)],[])).
% 7.19/5.13 tff(6559,plain,
% 7.19/5.13 (v112(constB39)),
% 7.19/5.13 inference(unit_resolution,[status(thm)],[6558, 6557, 6519])).
% 7.19/5.13 tff(6560,plain,
% 7.19/5.13 ((v111(constB39) | v112(constB39)) | (~v112(constB39))),
% 7.19/5.13 inference(tautology,[status(thm)],[])).
% 7.19/5.13 tff(6561,plain,
% 7.19/5.13 (v111(constB39) | v112(constB39)),
% 7.19/5.13 inference(unit_resolution,[status(thm)],[6560, 6559])).
% 7.19/5.13 tff(6562,plain,
% 7.19/5.13 ((~(v108(constB39) <=> (v111(constB39) | v112(constB39)))) | v108(constB39) | (~(v111(constB39) | v112(constB39)))),
% 7.19/5.13 inference(tautology,[status(thm)],[])).
% 7.19/5.13 tff(6563,plain,
% 7.19/5.13 (v108(constB39)),
% 7.19/5.13 inference(unit_resolution,[status(thm)],[6562, 6561, 6517])).
% 7.19/5.13 tff(6564,plain,
% 7.19/5.13 ((~(v110(constB40) <=> v108(constB39))) | v110(constB40) | (~v108(constB39))),
% 7.19/5.13 inference(tautology,[status(thm)],[])).
% 7.19/5.13 tff(6565,plain,
% 7.19/5.13 (v110(constB40)),
% 7.19/5.13 inference(unit_resolution,[status(thm)],[6564, 6563, 6515])).
% 7.19/5.13 tff(6566,plain,
% 7.19/5.13 ((~((~v101(constB40)) | (~v110(constB40)))) | (~v101(constB40)) | (~v110(constB40))),
% 7.19/5.13 inference(tautology,[status(thm)],[])).
% 7.19/5.13 tff(6567,plain,
% 7.19/5.13 (~((~v101(constB40)) | (~v110(constB40)))),
% 7.19/5.13 inference(unit_resolution,[status(thm)],[6566, 6565, 6511])).
% 7.19/5.13 tff(6568,plain,
% 7.19/5.13 ((~(v100(constB40) <=> (~((~v101(constB40)) | (~v110(constB40)))))) | v100(constB40) | ((~v101(constB40)) | (~v110(constB40)))),
% 7.19/5.13 inference(tautology,[status(thm)],[])).
% 7.19/5.13 tff(6569,plain,
% 7.19/5.13 (v100(constB40)),
% 7.19/5.13 inference(unit_resolution,[status(thm)],[6568, 6567, 6483])).
% 7.19/5.13 tff(6570,plain,
% 7.19/5.13 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB40)) | (~(((~v90(constB40, bitIndex2)) <=> v129(constB40, bitIndex2)) | ((~v90(constB40, bitIndex1)) <=> v129(constB40, bitIndex1)) | ((~v90(constB40, bitIndex0)) <=> v129(constB40, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB40)) | (~(((~v90(constB40, bitIndex2)) <=> v129(constB40, bitIndex2)) | ((~v90(constB40, bitIndex1)) <=> v129(constB40, bitIndex1)) | ((~v90(constB40, bitIndex0)) <=> v129(constB40, bitIndex0)))))),
% 7.19/5.13 inference(rewrite,[status(thm)],[])).
% 7.19/5.13 tff(6571,plain,
% 7.19/5.13 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB40)) | (~(((~v90(constB40, bitIndex2)) <=> v129(constB40, bitIndex2)) | ((~v90(constB40, bitIndex1)) <=> v129(constB40, bitIndex1)) | ((~v90(constB40, bitIndex0)) <=> v129(constB40, bitIndex0)))))),
% 7.19/5.13 inference(quant_inst,[status(thm)],[])).
% 7.19/5.13 tff(6572,plain,
% 7.19/5.13 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB40)) | (~(((~v90(constB40, bitIndex2)) <=> v129(constB40, bitIndex2)) | ((~v90(constB40, bitIndex1)) <=> v129(constB40, bitIndex1)) | ((~v90(constB40, bitIndex0)) <=> v129(constB40, bitIndex0))))),
% 7.19/5.13 inference(modus_ponens,[status(thm)],[6571, 6570])).
% 7.19/5.13 tff(6573,plain,
% 7.19/5.13 ((~v100(constB40)) | (~(((~v90(constB40, bitIndex2)) <=> v129(constB40, bitIndex2)) | ((~v90(constB40, bitIndex1)) <=> v129(constB40, bitIndex1)) | ((~v90(constB40, bitIndex0)) <=> v129(constB40, bitIndex0))))),
% 7.19/5.13 inference(unit_resolution,[status(thm)],[6572, 3429])).
% 7.19/5.13 tff(6574,plain,
% 7.19/5.13 (~(((~v90(constB40, bitIndex2)) <=> v129(constB40, bitIndex2)) | ((~v90(constB40, bitIndex1)) <=> v129(constB40, bitIndex1)) | ((~v90(constB40, bitIndex0)) <=> v129(constB40, bitIndex0)))),
% 7.19/5.13 inference(unit_resolution,[status(thm)],[6573, 6569])).
% 7.19/5.13 tff(6575,plain,
% 7.19/5.13 ((((~v90(constB40, bitIndex2)) <=> v129(constB40, bitIndex2)) | ((~v90(constB40, bitIndex1)) <=> v129(constB40, bitIndex1)) | ((~v90(constB40, bitIndex0)) <=> v129(constB40, bitIndex0))) | (~((~v90(constB40, bitIndex2)) <=> v129(constB40, bitIndex2)))),
% 7.19/5.13 inference(tautology,[status(thm)],[])).
% 7.19/5.13 tff(6576,plain,
% 7.19/5.13 (~((~v90(constB40, bitIndex2)) <=> v129(constB40, bitIndex2))),
% 7.19/5.13 inference(unit_resolution,[status(thm)],[6575, 6574])).
% 7.19/5.13 tff(6577,plain,
% 7.19/5.13 (((~v90(constB40, bitIndex2)) <=> v129(constB40, bitIndex2)) | (~v90(constB40, bitIndex2)) | v129(constB40, bitIndex2)),
% 7.19/5.13 inference(tautology,[status(thm)],[])).
% 7.19/5.13 tff(6578,plain,
% 7.19/5.13 (~v90(constB40, bitIndex2)),
% 7.19/5.13 inference(unit_resolution,[status(thm)],[6577, 6576, 6479])).
% 7.19/5.13 tff(6579,plain,
% 7.19/5.13 (((~v90(constB41, bitIndex2)) <=> v90(constB40, bitIndex2)) | (~v90(constB41, bitIndex2)) | v90(constB40, bitIndex2)),
% 7.19/5.13 inference(tautology,[status(thm)],[])).
% 7.19/5.13 tff(6580,plain,
% 7.19/5.13 (~v90(constB41, bitIndex2)),
% 7.19/5.13 inference(unit_resolution,[status(thm)],[6579, 6578, 1895])).
% 7.19/5.13 tff(6581,plain,
% 7.19/5.13 ((((~v90(constB41, bitIndex1)) <=> v90(constB40, bitIndex1)) | ((~v90(constB41, bitIndex2)) <=> v90(constB40, bitIndex2)) | ((~v90(constB41, bitIndex0)) <=> v90(constB40, bitIndex0))) | (~((~v90(constB41, bitIndex0)) <=> v90(constB40, bitIndex0)))),
% 7.19/5.13 inference(tautology,[status(thm)],[])).
% 7.19/5.13 tff(6582,plain,
% 7.19/5.13 (~((~v90(constB41, bitIndex0)) <=> v90(constB40, bitIndex0))),
% 7.19/5.13 inference(unit_resolution,[status(thm)],[6581, 1893])).
% 7.19/5.13 tff(6583,plain,
% 7.19/5.13 ((((~v129(constB40, bitIndex2)) <=> v127(constB39, bitIndex2)) | ((~v129(constB40, bitIndex1)) <=> v127(constB39, bitIndex1)) | ((~v129(constB40, bitIndex0)) <=> v127(constB39, bitIndex0))) | (~((~v129(constB40, bitIndex0)) <=> v127(constB39, bitIndex0)))),
% 7.19/5.13 inference(tautology,[status(thm)],[])).
% 7.19/5.13 tff(6584,plain,
% 7.19/5.13 (~((~v129(constB40, bitIndex0)) <=> v127(constB39, bitIndex0))),
% 7.19/5.13 inference(unit_resolution,[status(thm)],[6583, 1902])).
% 7.19/5.13 tff(6585,plain,
% 7.19/5.13 ((((~v127(constB39, bitIndex2)) <=> v130(constB39, bitIndex2)) | ((~v127(constB39, bitIndex1)) <=> v130(constB39, bitIndex1)) | ((~v127(constB39, bitIndex0)) <=> v130(constB39, bitIndex0))) | (~((~v127(constB39, bitIndex0)) <=> v130(constB39, bitIndex0)))),
% 7.19/5.13 inference(tautology,[status(thm)],[])).
% 7.19/5.13 tff(6586,plain,
% 7.19/5.13 (~((~v127(constB39, bitIndex0)) <=> v130(constB39, bitIndex0))),
% 7.19/5.13 inference(unit_resolution,[status(thm)],[6585, 1916])).
% 7.19/5.13 tff(6587,plain,
% 7.19/5.13 ((v130(constB39, bitIndex2) | (~v130(constB39, bitIndex1)) | (~v130(constB39, bitIndex0))) | v130(constB39, bitIndex0)),
% 7.19/5.13 inference(tautology,[status(thm)],[])).
% 7.19/5.13 tff(6588,plain,
% 7.19/5.13 (v130(constB39, bitIndex0)),
% 7.19/5.13 inference(unit_resolution,[status(thm)],[6587, 6473])).
% 7.19/5.13 tff(6589,plain,
% 7.19/5.13 (((~v127(constB39, bitIndex0)) <=> v130(constB39, bitIndex0)) | v127(constB39, bitIndex0) | (~v130(constB39, bitIndex0))),
% 7.19/5.13 inference(tautology,[status(thm)],[])).
% 7.19/5.13 tff(6590,plain,
% 7.19/5.13 (v127(constB39, bitIndex0)),
% 7.19/5.13 inference(unit_resolution,[status(thm)],[6589, 6588, 6586])).
% 7.19/5.13 tff(6591,plain,
% 7.19/5.13 (((~v129(constB40, bitIndex0)) <=> v127(constB39, bitIndex0)) | v129(constB40, bitIndex0) | (~v127(constB39, bitIndex0))),
% 7.19/5.13 inference(tautology,[status(thm)],[])).
% 7.19/5.13 tff(6592,plain,
% 7.19/5.13 (v129(constB40, bitIndex0)),
% 7.19/5.13 inference(unit_resolution,[status(thm)],[6591, 6590, 6584])).
% 7.19/5.13 tff(6593,plain,
% 7.19/5.13 ((((~v90(constB40, bitIndex2)) <=> v129(constB40, bitIndex2)) | ((~v90(constB40, bitIndex1)) <=> v129(constB40, bitIndex1)) | ((~v90(constB40, bitIndex0)) <=> v129(constB40, bitIndex0))) | (~((~v90(constB40, bitIndex0)) <=> v129(constB40, bitIndex0)))),
% 7.19/5.13 inference(tautology,[status(thm)],[])).
% 7.19/5.13 tff(6594,plain,
% 7.19/5.13 (~((~v90(constB40, bitIndex0)) <=> v129(constB40, bitIndex0))),
% 7.19/5.13 inference(unit_resolution,[status(thm)],[6593, 6574])).
% 7.19/5.13 tff(6595,plain,
% 7.19/5.13 (((~v90(constB40, bitIndex0)) <=> v129(constB40, bitIndex0)) | v90(constB40, bitIndex0) | (~v129(constB40, bitIndex0))),
% 7.19/5.13 inference(tautology,[status(thm)],[])).
% 7.19/5.13 tff(6596,plain,
% 7.19/5.13 (v90(constB40, bitIndex0)),
% 7.19/5.13 inference(unit_resolution,[status(thm)],[6595, 6594, 6592])).
% 7.19/5.13 tff(6597,plain,
% 7.19/5.13 (((~v90(constB41, bitIndex0)) <=> v90(constB40, bitIndex0)) | v90(constB41, bitIndex0) | (~v90(constB40, bitIndex0))),
% 7.19/5.13 inference(tautology,[status(thm)],[])).
% 7.19/5.13 tff(6598,plain,
% 7.19/5.13 (v90(constB41, bitIndex0)),
% 7.19/5.13 inference(unit_resolution,[status(thm)],[6597, 6596, 6582])).
% 7.19/5.13 tff(6599,plain,
% 7.19/5.13 ((((~v90(constB41, bitIndex1)) <=> v90(constB40, bitIndex1)) | ((~v90(constB41, bitIndex2)) <=> v90(constB40, bitIndex2)) | ((~v90(constB41, bitIndex0)) <=> v90(constB40, bitIndex0))) | (~((~v90(constB41, bitIndex1)) <=> v90(constB40, bitIndex1)))),
% 7.19/5.13 inference(tautology,[status(thm)],[])).
% 7.19/5.13 tff(6600,plain,
% 7.19/5.13 (~((~v90(constB41, bitIndex1)) <=> v90(constB40, bitIndex1))),
% 7.19/5.13 inference(unit_resolution,[status(thm)],[6599, 1893])).
% 7.19/5.13 tff(6601,plain,
% 7.19/5.13 ((((~v129(constB40, bitIndex2)) <=> v127(constB39, bitIndex2)) | ((~v129(constB40, bitIndex1)) <=> v127(constB39, bitIndex1)) | ((~v129(constB40, bitIndex0)) <=> v127(constB39, bitIndex0))) | (~((~v129(constB40, bitIndex1)) <=> v127(constB39, bitIndex1)))),
% 7.19/5.13 inference(tautology,[status(thm)],[])).
% 7.19/5.13 tff(6602,plain,
% 7.19/5.13 (~((~v129(constB40, bitIndex1)) <=> v127(constB39, bitIndex1))),
% 7.19/5.13 inference(unit_resolution,[status(thm)],[6601, 1902])).
% 7.19/5.13 tff(6603,plain,
% 7.19/5.13 ((((~v127(constB39, bitIndex2)) <=> v130(constB39, bitIndex2)) | ((~v127(constB39, bitIndex1)) <=> v130(constB39, bitIndex1)) | ((~v127(constB39, bitIndex0)) <=> v130(constB39, bitIndex0))) | (~((~v127(constB39, bitIndex1)) <=> v130(constB39, bitIndex1)))),
% 7.19/5.13 inference(tautology,[status(thm)],[])).
% 7.19/5.13 tff(6604,plain,
% 7.19/5.13 (~((~v127(constB39, bitIndex1)) <=> v130(constB39, bitIndex1))),
% 7.19/5.13 inference(unit_resolution,[status(thm)],[6603, 1916])).
% 7.19/5.13 tff(6605,plain,
% 7.19/5.13 ((v130(constB39, bitIndex2) | (~v130(constB39, bitIndex1)) | (~v130(constB39, bitIndex0))) | v130(constB39, bitIndex1)),
% 7.19/5.13 inference(tautology,[status(thm)],[])).
% 7.19/5.13 tff(6606,plain,
% 7.19/5.13 (v130(constB39, bitIndex1)),
% 7.19/5.13 inference(unit_resolution,[status(thm)],[6605, 6473])).
% 7.19/5.13 tff(6607,plain,
% 7.19/5.13 (((~v127(constB39, bitIndex1)) <=> v130(constB39, bitIndex1)) | v127(constB39, bitIndex1) | (~v130(constB39, bitIndex1))),
% 7.19/5.13 inference(tautology,[status(thm)],[])).
% 7.19/5.13 tff(6608,plain,
% 7.19/5.13 (v127(constB39, bitIndex1)),
% 7.19/5.13 inference(unit_resolution,[status(thm)],[6607, 6606, 6604])).
% 7.19/5.13 tff(6609,plain,
% 7.19/5.13 (((~v129(constB40, bitIndex1)) <=> v127(constB39, bitIndex1)) | v129(constB40, bitIndex1) | (~v127(constB39, bitIndex1))),
% 7.19/5.13 inference(tautology,[status(thm)],[])).
% 7.19/5.13 tff(6610,plain,
% 7.19/5.13 (v129(constB40, bitIndex1)),
% 7.19/5.13 inference(unit_resolution,[status(thm)],[6609, 6608, 6602])).
% 7.19/5.13 tff(6611,plain,
% 7.19/5.13 ((((~v90(constB40, bitIndex2)) <=> v129(constB40, bitIndex2)) | ((~v90(constB40, bitIndex1)) <=> v129(constB40, bitIndex1)) | ((~v90(constB40, bitIndex0)) <=> v129(constB40, bitIndex0))) | (~((~v90(constB40, bitIndex1)) <=> v129(constB40, bitIndex1)))),
% 7.19/5.13 inference(tautology,[status(thm)],[])).
% 7.19/5.13 tff(6612,plain,
% 7.19/5.13 (~((~v90(constB40, bitIndex1)) <=> v129(constB40, bitIndex1))),
% 7.19/5.13 inference(unit_resolution,[status(thm)],[6611, 6574])).
% 7.19/5.13 tff(6613,plain,
% 7.19/5.13 (((~v90(constB40, bitIndex1)) <=> v129(constB40, bitIndex1)) | v90(constB40, bitIndex1) | (~v129(constB40, bitIndex1))),
% 7.19/5.13 inference(tautology,[status(thm)],[])).
% 7.19/5.13 tff(6614,plain,
% 7.19/5.13 (v90(constB40, bitIndex1)),
% 7.19/5.13 inference(unit_resolution,[status(thm)],[6613, 6612, 6610])).
% 7.19/5.13 tff(6615,plain,
% 7.19/5.13 (((~v90(constB41, bitIndex1)) <=> v90(constB40, bitIndex1)) | v90(constB41, bitIndex1) | (~v90(constB40, bitIndex1))),
% 7.19/5.13 inference(tautology,[status(thm)],[])).
% 7.19/5.13 tff(6616,plain,
% 7.19/5.13 (v90(constB41, bitIndex1)),
% 7.19/5.13 inference(unit_resolution,[status(thm)],[6615, 6614, 6600])).
% 7.19/5.13 tff(6617,plain,
% 7.19/5.13 ((~(v90(constB41, bitIndex2) | (~v90(constB41, bitIndex1)) | (~v90(constB41, bitIndex0)))) | v90(constB41, bitIndex2) | (~v90(constB41, bitIndex1)) | (~v90(constB41, bitIndex0))),
% 7.19/5.13 inference(tautology,[status(thm)],[])).
% 7.19/5.13 tff(6618,plain,
% 7.19/5.13 (~(v90(constB41, bitIndex2) | (~v90(constB41, bitIndex1)) | (~v90(constB41, bitIndex0)))),
% 7.19/5.13 inference(unit_resolution,[status(thm)],[6617, 6616, 6598, 6580])).
% 7.19/5.13 tff(6619,plain,
% 7.19/5.13 ((~(v122(constB41) <=> (~(v90(constB41, bitIndex2) | (~v90(constB41, bitIndex1)) | (~v90(constB41, bitIndex0)))))) | v122(constB41) | (v90(constB41, bitIndex2) | (~v90(constB41, bitIndex1)) | (~v90(constB41, bitIndex0)))),
% 7.19/5.13 inference(tautology,[status(thm)],[])).
% 7.19/5.13 tff(6620,plain,
% 7.19/5.13 (v122(constB41)),
% 7.19/5.13 inference(unit_resolution,[status(thm)],[6619, 6618, 1859])).
% 7.19/5.13 tff(6621,plain,
% 7.19/5.13 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB41)) | (~(v130(constB41, bitIndex1) | v130(constB41, bitIndex0) | (~v130(constB41, bitIndex2)))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | (~v122(constB41)) | (~(v130(constB41, bitIndex1) | v130(constB41, bitIndex0) | (~v130(constB41, bitIndex2)))))),
% 7.19/5.13 inference(rewrite,[status(thm)],[])).
% 7.19/5.13 tff(6622,plain,
% 7.19/5.13 (((~v122(constB41)) | (~(v130(constB41, bitIndex0) | v130(constB41, bitIndex1) | (~v130(constB41, bitIndex2))))) <=> ((~v122(constB41)) | (~(v130(constB41, bitIndex1) | v130(constB41, bitIndex0) | (~v130(constB41, bitIndex2)))))),
% 7.19/5.13 inference(rewrite,[status(thm)],[])).
% 7.19/5.13 tff(6623,plain,
% 7.19/5.13 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB41)) | (~(v130(constB41, bitIndex0) | v130(constB41, bitIndex1) | (~v130(constB41, bitIndex2)))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB41)) | (~(v130(constB41, bitIndex1) | v130(constB41, bitIndex0) | (~v130(constB41, bitIndex2))))))),
% 7.19/5.13 inference(monotonicity,[status(thm)],[6622])).
% 7.19/5.13 tff(6624,plain,
% 7.19/5.13 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB41)) | (~(v130(constB41, bitIndex0) | v130(constB41, bitIndex1) | (~v130(constB41, bitIndex2)))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | (~v122(constB41)) | (~(v130(constB41, bitIndex1) | v130(constB41, bitIndex0) | (~v130(constB41, bitIndex2)))))),
% 7.19/5.13 inference(transitivity,[status(thm)],[6623, 6621])).
% 7.19/5.13 tff(6625,plain,
% 7.19/5.13 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB41)) | (~(v130(constB41, bitIndex0) | v130(constB41, bitIndex1) | (~v130(constB41, bitIndex2)))))),
% 7.19/5.13 inference(quant_inst,[status(thm)],[])).
% 7.19/5.13 tff(6626,plain,
% 7.19/5.13 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | (~v122(constB41)) | (~(v130(constB41, bitIndex1) | v130(constB41, bitIndex0) | (~v130(constB41, bitIndex2))))),
% 7.19/5.13 inference(modus_ponens,[status(thm)],[6625, 6624])).
% 7.19/5.13 tff(6627,plain,
% 7.19/5.13 ((~v122(constB41)) | (~(v130(constB41, bitIndex1) | v130(constB41, bitIndex0) | (~v130(constB41, bitIndex2))))),
% 7.19/5.13 inference(unit_resolution,[status(thm)],[6626, 4223])).
% 7.19/5.13 tff(6628,plain,
% 7.19/5.13 (~(v130(constB41, bitIndex1) | v130(constB41, bitIndex0) | (~v130(constB41, bitIndex2)))),
% 7.19/5.13 inference(unit_resolution,[status(thm)],[6627, 6620])).
% 7.19/5.13 tff(6629,plain,
% 7.19/5.13 ((v130(constB41, bitIndex1) | v130(constB41, bitIndex0) | (~v130(constB41, bitIndex2))) | v130(constB41, bitIndex2)),
% 7.19/5.13 inference(tautology,[status(thm)],[])).
% 7.19/5.13 tff(6630,plain,
% 7.19/5.13 (v130(constB41, bitIndex2)),
% 7.19/5.13 inference(unit_resolution,[status(thm)],[6629, 6628])).
% 7.19/5.13 tff(6631,plain,
% 7.19/5.13 (((~v127(constB41, bitIndex2)) <=> v130(constB41, bitIndex2)) | v127(constB41, bitIndex2) | (~v130(constB41, bitIndex2))),
% 7.19/5.13 inference(tautology,[status(thm)],[])).
% 7.19/5.13 tff(6632,plain,
% 7.19/5.13 (v127(constB41, bitIndex2)),
% 7.19/5.13 inference(unit_resolution,[status(thm)],[6631, 6630, 1852])).
% 7.19/5.13 tff(6633,plain,
% 7.19/5.13 (((~v129(constB42, bitIndex2)) <=> v127(constB41, bitIndex2)) | v129(constB42, bitIndex2) | (~v127(constB41, bitIndex2))),
% 7.19/5.13 inference(tautology,[status(thm)],[])).
% 7.19/5.13 tff(6634,plain,
% 7.19/5.13 (v129(constB42, bitIndex2)),
% 7.19/5.13 inference(unit_resolution,[status(thm)],[6633, 6632, 1838])).
% 7.19/5.13 tff(6635,plain,
% 7.19/5.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB41, constB42)) | (v100(constB42) <=> (~((~v101(constB42)) | (~v110(constB42))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB41, constB42)) | (v100(constB42) <=> (~((~v101(constB42)) | (~v110(constB42))))))),
% 7.19/5.13 inference(rewrite,[status(thm)],[])).
% 7.19/5.13 tff(6636,plain,
% 7.19/5.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB41, constB42)) | (v100(constB42) <=> (~((~v101(constB42)) | (~v110(constB42))))))),
% 7.19/5.13 inference(quant_inst,[status(thm)],[])).
% 7.19/5.13 tff(6637,plain,
% 7.19/5.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB41, constB42)) | (v100(constB42) <=> (~((~v101(constB42)) | (~v110(constB42)))))),
% 7.19/5.13 inference(modus_ponens,[status(thm)],[6636, 6635])).
% 7.19/5.13 tff(6638,plain,
% 7.19/5.13 (v100(constB42) <=> (~((~v101(constB42)) | (~v110(constB42))))),
% 7.19/5.13 inference(unit_resolution,[status(thm)],[6637, 1832, 445])).
% 7.19/5.13 tff(6639,plain,
% 7.19/5.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB41, constB42)) | (v101(constB42) <=> (~((~v1(constB42)) | (~v102(constB42))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB41, constB42)) | (v101(constB42) <=> (~((~v1(constB42)) | (~v102(constB42))))))),
% 7.19/5.13 inference(rewrite,[status(thm)],[])).
% 7.19/5.13 tff(6640,plain,
% 7.19/5.13 (((~nextState(constB41, constB42)) | (v101(constB42) <=> (~((~v102(constB42)) | (~v1(constB42)))))) <=> ((~nextState(constB41, constB42)) | (v101(constB42) <=> (~((~v1(constB42)) | (~v102(constB42))))))),
% 7.19/5.13 inference(rewrite,[status(thm)],[])).
% 7.19/5.13 tff(6641,plain,
% 7.19/5.13 (((~![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) <=> (~((~v1(constB42)) | (~v102(constB42)))))))),
% 7.19/5.13 inference(monotonicity,[status(thm)],[6640])).
% 7.19/5.13 tff(6642,plain,
% 7.19/5.13 (((~![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) <=> (~((~v1(constB42)) | (~v102(constB42))))))),
% 7.19/5.13 inference(transitivity,[status(thm)],[6641, 6639])).
% 7.19/5.13 tff(6643,plain,
% 7.19/5.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB41, constB42)) | (v101(constB42) <=> (~((~v102(constB42)) | (~v1(constB42))))))),
% 7.19/5.13 inference(quant_inst,[status(thm)],[])).
% 7.19/5.13 tff(6644,plain,
% 7.19/5.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB41, constB42)) | (v101(constB42) <=> (~((~v1(constB42)) | (~v102(constB42)))))),
% 7.19/5.13 inference(modus_ponens,[status(thm)],[6643, 6642])).
% 7.19/5.13 tff(6645,plain,
% 7.19/5.13 (v101(constB42) <=> (~((~v1(constB42)) | (~v102(constB42))))),
% 7.19/5.13 inference(unit_resolution,[status(thm)],[6644, 1832, 465])).
% 7.19/5.13 tff(6646,plain,
% 7.19/5.13 (((~![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)))),
% 7.19/5.13 inference(rewrite,[status(thm)],[])).
% 7.19/5.13 tff(6647,plain,
% 7.19/5.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB41, constB42)) | ((~v102(constB42)) <=> v104(constB42)))),
% 7.19/5.13 inference(quant_inst,[status(thm)],[])).
% 7.19/5.13 tff(6648,plain,
% 7.19/5.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB41, constB42)) | ((~v102(constB42)) <=> v104(constB42))),
% 7.19/5.13 inference(modus_ponens,[status(thm)],[6647, 6646])).
% 7.19/5.13 tff(6649,plain,
% 7.19/5.13 ((~v102(constB42)) <=> v104(constB42)),
% 7.19/5.13 inference(unit_resolution,[status(thm)],[6648, 1832, 3244])).
% 7.19/5.13 tff(6650,plain,
% 7.19/5.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB41, constB42)) | (v104(constB42) <=> v1(constB41)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB41, constB42)) | (v104(constB42) <=> v1(constB41)))),
% 7.19/5.13 inference(rewrite,[status(thm)],[])).
% 7.19/5.13 tff(6651,plain,
% 7.19/5.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB41, constB42)) | (v104(constB42) <=> v1(constB41)))),
% 7.19/5.13 inference(quant_inst,[status(thm)],[])).
% 7.19/5.13 tff(6652,plain,
% 7.19/5.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB41, constB42)) | (v104(constB42) <=> v1(constB41))),
% 7.19/5.13 inference(modus_ponens,[status(thm)],[6651, 6650])).
% 7.19/5.13 tff(6653,plain,
% 7.19/5.13 (v104(constB42) <=> v1(constB41)),
% 7.19/5.13 inference(unit_resolution,[status(thm)],[6652, 1832, 3258])).
% 7.19/5.13 tff(6654,plain,
% 7.19/5.13 ((~(v104(constB42) <=> v1(constB41))) | (~v104(constB42)) | v1(constB41)),
% 7.19/5.13 inference(tautology,[status(thm)],[])).
% 7.19/5.13 tff(6655,plain,
% 7.19/5.13 ((~(v104(constB42) <=> v1(constB41))) | (~v104(constB42))),
% 7.19/5.13 inference(unit_resolution,[status(thm)],[6654, 1876])).
% 7.19/5.13 tff(6656,plain,
% 7.19/5.13 (~v104(constB42)),
% 7.19/5.13 inference(unit_resolution,[status(thm)],[6655, 6653])).
% 7.19/5.13 tff(6657,plain,
% 7.19/5.13 ((~((~v102(constB42)) <=> v104(constB42))) | v102(constB42) | v104(constB42)),
% 7.19/5.13 inference(tautology,[status(thm)],[])).
% 7.19/5.13 tff(6658,plain,
% 7.19/5.13 (v102(constB42)),
% 7.19/5.13 inference(unit_resolution,[status(thm)],[6657, 6656, 6649])).
% 7.19/5.13 tff(6659,plain,
% 7.19/5.13 (v1(constB42) <=> v1(constB42)),
% 7.19/5.13 inference(rewrite,[status(thm)],[])).
% 7.19/5.13 tff(6660,axiom,(v1(constB42)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_42')).
% 7.19/5.13 tff(6661,plain,
% 7.19/5.13 (v1(constB42)),
% 7.19/5.13 inference(modus_ponens,[status(thm)],[6660, 6659])).
% 7.19/5.13 tff(6662,plain,
% 7.19/5.13 ((~((~v1(constB42)) | (~v102(constB42)))) | (~v1(constB42)) | (~v102(constB42))),
% 7.19/5.13 inference(tautology,[status(thm)],[])).
% 7.19/5.13 tff(6663,plain,
% 7.19/5.13 ((~((~v1(constB42)) | (~v102(constB42)))) | (~v102(constB42))),
% 7.19/5.13 inference(unit_resolution,[status(thm)],[6662, 6661])).
% 7.19/5.13 tff(6664,plain,
% 7.19/5.13 (~((~v1(constB42)) | (~v102(constB42)))),
% 7.19/5.13 inference(unit_resolution,[status(thm)],[6663, 6658])).
% 7.19/5.13 tff(6665,plain,
% 7.19/5.13 ((~(v101(constB42) <=> (~((~v1(constB42)) | (~v102(constB42)))))) | v101(constB42) | ((~v1(constB42)) | (~v102(constB42)))),
% 7.19/5.13 inference(tautology,[status(thm)],[])).
% 7.19/5.13 tff(6666,plain,
% 7.19/5.13 (v101(constB42)),
% 7.19/5.13 inference(unit_resolution,[status(thm)],[6665, 6664, 6645])).
% 7.19/5.13 tff(6667,plain,
% 7.19/5.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB41, constB42)) | (v110(constB42) <=> v108(constB41)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB41, constB42)) | (v110(constB42) <=> v108(constB41)))),
% 7.19/5.13 inference(rewrite,[status(thm)],[])).
% 7.19/5.13 tff(6668,plain,
% 7.19/5.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB41, constB42)) | (v110(constB42) <=> v108(constB41)))),
% 7.19/5.14 inference(quant_inst,[status(thm)],[])).
% 7.19/5.14 tff(6669,plain,
% 7.19/5.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB41, constB42)) | (v110(constB42) <=> v108(constB41))),
% 7.19/5.14 inference(modus_ponens,[status(thm)],[6668, 6667])).
% 7.19/5.14 tff(6670,plain,
% 7.19/5.14 (v110(constB42) <=> v108(constB41)),
% 7.19/5.14 inference(unit_resolution,[status(thm)],[6669, 1832, 3285])).
% 7.19/5.14 tff(6671,plain,
% 7.19/5.14 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB41) <=> (v111(constB41) | v112(constB41)))),
% 7.19/5.14 inference(quant_inst,[status(thm)],[])).
% 7.19/5.14 tff(6672,plain,
% 7.19/5.14 (v108(constB41) <=> (v111(constB41) | v112(constB41))),
% 7.19/5.14 inference(unit_resolution,[status(thm)],[6671, 3296])).
% 7.19/5.14 tff(6673,plain,
% 7.19/5.14 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB41) <=> (~((~v113(constB41)) | (~v126(constB41)))))),
% 7.19/5.14 inference(quant_inst,[status(thm)],[])).
% 7.19/5.14 tff(6674,plain,
% 7.19/5.14 (v112(constB41) <=> (~((~v113(constB41)) | (~v126(constB41))))),
% 7.19/5.14 inference(unit_resolution,[status(thm)],[6673, 3308])).
% 7.19/5.14 tff(6675,plain,
% 7.19/5.14 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB41) <=> (v114(constB41) | v125(constB41)))),
% 7.19/5.14 inference(quant_inst,[status(thm)],[])).
% 7.19/5.14 tff(6676,plain,
% 7.19/5.14 (v113(constB41) <=> (v114(constB41) | v125(constB41))),
% 7.19/5.14 inference(unit_resolution,[status(thm)],[6675, 3317])).
% 7.19/5.14 tff(6677,plain,
% 7.19/5.14 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB41) <=> (v115(constB41) | v124(constB41)))),
% 7.19/5.14 inference(quant_inst,[status(thm)],[])).
% 7.19/5.14 tff(6678,plain,
% 7.19/5.14 (v114(constB41) <=> (v115(constB41) | v124(constB41))),
% 7.19/5.14 inference(unit_resolution,[status(thm)],[6677, 3326])).
% 7.19/5.14 tff(6679,plain,
% 7.19/5.14 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB41) <=> (v116(constB41) | v123(constB41)))),
% 7.19/5.14 inference(quant_inst,[status(thm)],[])).
% 7.19/5.14 tff(6680,plain,
% 7.19/5.14 (v115(constB41) <=> (v116(constB41) | v123(constB41))),
% 7.19/5.14 inference(unit_resolution,[status(thm)],[6679, 3335])).
% 7.19/5.14 tff(6681,plain,
% 7.19/5.14 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB41) <=> (v117(constB41) | v122(constB41)))),
% 7.19/5.14 inference(quant_inst,[status(thm)],[])).
% 7.19/5.14 tff(6682,plain,
% 7.19/5.14 (v116(constB41) <=> (v117(constB41) | v122(constB41))),
% 7.19/5.14 inference(unit_resolution,[status(thm)],[6681, 3344])).
% 7.19/5.14 tff(6683,plain,
% 7.19/5.14 ((v117(constB41) | v122(constB41)) | (~v122(constB41))),
% 7.19/5.14 inference(tautology,[status(thm)],[])).
% 7.19/5.14 tff(6684,plain,
% 7.19/5.14 (v117(constB41) | v122(constB41)),
% 7.19/5.14 inference(unit_resolution,[status(thm)],[6683, 6620])).
% 7.19/5.14 tff(6685,plain,
% 7.19/5.14 ((~(v116(constB41) <=> (v117(constB41) | v122(constB41)))) | v116(constB41) | (~(v117(constB41) | v122(constB41)))),
% 7.19/5.14 inference(tautology,[status(thm)],[])).
% 7.19/5.14 tff(6686,plain,
% 7.19/5.14 (v116(constB41)),
% 7.19/5.14 inference(unit_resolution,[status(thm)],[6685, 6684, 6682])).
% 7.19/5.14 tff(6687,plain,
% 7.19/5.14 ((v116(constB41) | v123(constB41)) | (~v116(constB41))),
% 7.19/5.14 inference(tautology,[status(thm)],[])).
% 7.19/5.14 tff(6688,plain,
% 7.19/5.14 (v116(constB41) | v123(constB41)),
% 7.19/5.14 inference(unit_resolution,[status(thm)],[6687, 6686])).
% 7.19/5.14 tff(6689,plain,
% 7.19/5.14 ((~(v115(constB41) <=> (v116(constB41) | v123(constB41)))) | v115(constB41) | (~(v116(constB41) | v123(constB41)))),
% 7.19/5.14 inference(tautology,[status(thm)],[])).
% 7.19/5.14 tff(6690,plain,
% 7.19/5.14 (v115(constB41)),
% 7.19/5.14 inference(unit_resolution,[status(thm)],[6689, 6688, 6680])).
% 7.19/5.14 tff(6691,plain,
% 7.19/5.14 ((v115(constB41) | v124(constB41)) | (~v115(constB41))),
% 7.19/5.14 inference(tautology,[status(thm)],[])).
% 7.19/5.14 tff(6692,plain,
% 7.19/5.14 (v115(constB41) | v124(constB41)),
% 7.19/5.14 inference(unit_resolution,[status(thm)],[6691, 6690])).
% 7.19/5.14 tff(6693,plain,
% 7.19/5.14 ((~(v114(constB41) <=> (v115(constB41) | v124(constB41)))) | v114(constB41) | (~(v115(constB41) | v124(constB41)))),
% 7.19/5.14 inference(tautology,[status(thm)],[])).
% 7.19/5.14 tff(6694,plain,
% 7.19/5.14 (v114(constB41)),
% 7.19/5.14 inference(unit_resolution,[status(thm)],[6693, 6692, 6678])).
% 7.19/5.14 tff(6695,plain,
% 7.19/5.14 ((v114(constB41) | v125(constB41)) | (~v114(constB41))),
% 7.19/5.14 inference(tautology,[status(thm)],[])).
% 7.19/5.14 tff(6696,plain,
% 7.19/5.14 (v114(constB41) | v125(constB41)),
% 7.19/5.14 inference(unit_resolution,[status(thm)],[6695, 6694])).
% 7.19/5.14 tff(6697,plain,
% 7.19/5.14 ((~(v113(constB41) <=> (v114(constB41) | v125(constB41)))) | v113(constB41) | (~(v114(constB41) | v125(constB41)))),
% 7.19/5.14 inference(tautology,[status(thm)],[])).
% 7.19/5.14 tff(6698,plain,
% 7.19/5.14 (v113(constB41)),
% 7.19/5.14 inference(unit_resolution,[status(thm)],[6697, 6696, 6676])).
% 7.19/5.14 tff(6699,plain,
% 7.19/5.14 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB41)) <=> v111(constB41))),
% 7.19/5.14 inference(quant_inst,[status(thm)],[])).
% 7.19/5.14 tff(6700,plain,
% 7.19/5.14 ((~v126(constB41)) <=> v111(constB41)),
% 7.19/5.14 inference(unit_resolution,[status(thm)],[6699, 3396])).
% 7.19/5.14 tff(6701,plain,
% 7.19/5.14 ((~((~v126(constB41)) <=> v111(constB41))) | v126(constB41) | v111(constB41)),
% 7.19/5.14 inference(tautology,[status(thm)],[])).
% 7.19/5.14 tff(6702,plain,
% 7.19/5.14 ((~((~v126(constB41)) <=> v111(constB41))) | v126(constB41)),
% 7.19/5.14 inference(unit_resolution,[status(thm)],[6701, 1845])).
% 7.19/5.14 tff(6703,plain,
% 7.19/5.14 (v126(constB41)),
% 7.19/5.14 inference(unit_resolution,[status(thm)],[6702, 6700])).
% 7.19/5.14 tff(6704,plain,
% 7.19/5.14 ((~((~v113(constB41)) | (~v126(constB41)))) | (~v113(constB41)) | (~v126(constB41))),
% 7.19/5.14 inference(tautology,[status(thm)],[])).
% 7.19/5.14 tff(6705,plain,
% 7.19/5.14 ((~((~v113(constB41)) | (~v126(constB41)))) | (~v113(constB41))),
% 7.19/5.14 inference(unit_resolution,[status(thm)],[6704, 6703])).
% 7.19/5.14 tff(6706,plain,
% 7.19/5.14 (~((~v113(constB41)) | (~v126(constB41)))),
% 7.19/5.14 inference(unit_resolution,[status(thm)],[6705, 6698])).
% 7.19/5.14 tff(6707,plain,
% 7.19/5.14 ((~(v112(constB41) <=> (~((~v113(constB41)) | (~v126(constB41)))))) | v112(constB41) | ((~v113(constB41)) | (~v126(constB41)))),
% 7.19/5.14 inference(tautology,[status(thm)],[])).
% 7.19/5.14 tff(6708,plain,
% 7.19/5.14 (v112(constB41)),
% 7.19/5.14 inference(unit_resolution,[status(thm)],[6707, 6706, 6674])).
% 7.19/5.14 tff(6709,plain,
% 7.19/5.14 ((v111(constB41) | v112(constB41)) | (~v112(constB41))),
% 7.19/5.14 inference(tautology,[status(thm)],[])).
% 7.19/5.14 tff(6710,plain,
% 7.19/5.14 (v111(constB41) | v112(constB41)),
% 7.19/5.14 inference(unit_resolution,[status(thm)],[6709, 6708])).
% 7.19/5.14 tff(6711,plain,
% 7.19/5.14 ((~(v108(constB41) <=> (v111(constB41) | v112(constB41)))) | v108(constB41) | (~(v111(constB41) | v112(constB41)))),
% 7.19/5.14 inference(tautology,[status(thm)],[])).
% 7.19/5.14 tff(6712,plain,
% 7.19/5.14 (v108(constB41)),
% 7.19/5.14 inference(unit_resolution,[status(thm)],[6711, 6710, 6672])).
% 7.19/5.14 tff(6713,plain,
% 7.19/5.14 ((~(v110(constB42) <=> v108(constB41))) | v110(constB42) | (~v108(constB41))),
% 7.19/5.14 inference(tautology,[status(thm)],[])).
% 7.19/5.14 tff(6714,plain,
% 7.19/5.14 (v110(constB42)),
% 7.19/5.14 inference(unit_resolution,[status(thm)],[6713, 6712, 6670])).
% 7.19/5.14 tff(6715,plain,
% 7.19/5.14 ((~((~v101(constB42)) | (~v110(constB42)))) | (~v101(constB42)) | (~v110(constB42))),
% 7.19/5.14 inference(tautology,[status(thm)],[])).
% 7.19/5.14 tff(6716,plain,
% 7.19/5.14 (~((~v101(constB42)) | (~v110(constB42)))),
% 7.19/5.14 inference(unit_resolution,[status(thm)],[6715, 6714, 6666])).
% 7.19/5.14 tff(6717,plain,
% 7.19/5.14 ((~(v100(constB42) <=> (~((~v101(constB42)) | (~v110(constB42)))))) | v100(constB42) | ((~v101(constB42)) | (~v110(constB42)))),
% 7.19/5.14 inference(tautology,[status(thm)],[])).
% 7.19/5.14 tff(6718,plain,
% 7.19/5.14 (v100(constB42)),
% 7.19/5.14 inference(unit_resolution,[status(thm)],[6717, 6716, 6638])).
% 7.19/5.14 tff(6719,plain,
% 7.19/5.14 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB42)) | (~(((~v90(constB42, bitIndex0)) <=> v129(constB42, bitIndex0)) | ((~v90(constB42, bitIndex2)) <=> v129(constB42, bitIndex2)) | ((~v90(constB42, bitIndex1)) <=> v129(constB42, bitIndex1)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB42)) | (~(((~v90(constB42, bitIndex0)) <=> v129(constB42, bitIndex0)) | ((~v90(constB42, bitIndex2)) <=> v129(constB42, bitIndex2)) | ((~v90(constB42, bitIndex1)) <=> v129(constB42, bitIndex1)))))),
% 7.19/5.14 inference(rewrite,[status(thm)],[])).
% 7.19/5.14 tff(6720,plain,
% 7.19/5.14 (((~v100(constB42)) | (~(((~v90(constB42, bitIndex2)) <=> v129(constB42, bitIndex2)) | ((~v90(constB42, bitIndex1)) <=> v129(constB42, bitIndex1)) | ((~v90(constB42, bitIndex0)) <=> v129(constB42, bitIndex0))))) <=> ((~v100(constB42)) | (~(((~v90(constB42, bitIndex0)) <=> v129(constB42, bitIndex0)) | ((~v90(constB42, bitIndex2)) <=> v129(constB42, bitIndex2)) | ((~v90(constB42, bitIndex1)) <=> v129(constB42, bitIndex1)))))),
% 7.19/5.14 inference(rewrite,[status(thm)],[])).
% 7.19/5.14 tff(6721,plain,
% 7.19/5.14 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB42)) | (~(((~v90(constB42, bitIndex2)) <=> v129(constB42, bitIndex2)) | ((~v90(constB42, bitIndex1)) <=> v129(constB42, bitIndex1)) | ((~v90(constB42, bitIndex0)) <=> v129(constB42, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB42)) | (~(((~v90(constB42, bitIndex0)) <=> v129(constB42, bitIndex0)) | ((~v90(constB42, bitIndex2)) <=> v129(constB42, bitIndex2)) | ((~v90(constB42, bitIndex1)) <=> v129(constB42, bitIndex1))))))),
% 7.19/5.14 inference(monotonicity,[status(thm)],[6720])).
% 7.19/5.14 tff(6722,plain,
% 7.19/5.14 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB42)) | (~(((~v90(constB42, bitIndex2)) <=> v129(constB42, bitIndex2)) | ((~v90(constB42, bitIndex1)) <=> v129(constB42, bitIndex1)) | ((~v90(constB42, bitIndex0)) <=> v129(constB42, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB42)) | (~(((~v90(constB42, bitIndex0)) <=> v129(constB42, bitIndex0)) | ((~v90(constB42, bitIndex2)) <=> v129(constB42, bitIndex2)) | ((~v90(constB42, bitIndex1)) <=> v129(constB42, bitIndex1)))))),
% 7.19/5.14 inference(transitivity,[status(thm)],[6721, 6719])).
% 7.19/5.14 tff(6723,plain,
% 7.19/5.14 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB42)) | (~(((~v90(constB42, bitIndex2)) <=> v129(constB42, bitIndex2)) | ((~v90(constB42, bitIndex1)) <=> v129(constB42, bitIndex1)) | ((~v90(constB42, bitIndex0)) <=> v129(constB42, bitIndex0)))))),
% 7.19/5.14 inference(quant_inst,[status(thm)],[])).
% 7.19/5.14 tff(6724,plain,
% 7.19/5.14 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB42)) | (~(((~v90(constB42, bitIndex0)) <=> v129(constB42, bitIndex0)) | ((~v90(constB42, bitIndex2)) <=> v129(constB42, bitIndex2)) | ((~v90(constB42, bitIndex1)) <=> v129(constB42, bitIndex1))))),
% 7.19/5.14 inference(modus_ponens,[status(thm)],[6723, 6722])).
% 7.19/5.14 tff(6725,plain,
% 7.19/5.14 ((~v100(constB42)) | (~(((~v90(constB42, bitIndex0)) <=> v129(constB42, bitIndex0)) | ((~v90(constB42, bitIndex2)) <=> v129(constB42, bitIndex2)) | ((~v90(constB42, bitIndex1)) <=> v129(constB42, bitIndex1))))),
% 7.19/5.14 inference(unit_resolution,[status(thm)],[6724, 3429])).
% 7.19/5.14 tff(6726,plain,
% 7.19/5.14 (~(((~v90(constB42, bitIndex0)) <=> v129(constB42, bitIndex0)) | ((~v90(constB42, bitIndex2)) <=> v129(constB42, bitIndex2)) | ((~v90(constB42, bitIndex1)) <=> v129(constB42, bitIndex1)))),
% 7.19/5.14 inference(unit_resolution,[status(thm)],[6725, 6718])).
% 7.19/5.14 tff(6727,plain,
% 7.19/5.14 ((((~v90(constB42, bitIndex0)) <=> v129(constB42, bitIndex0)) | ((~v90(constB42, bitIndex2)) <=> v129(constB42, bitIndex2)) | ((~v90(constB42, bitIndex1)) <=> v129(constB42, bitIndex1))) | (~((~v90(constB42, bitIndex2)) <=> v129(constB42, bitIndex2)))),
% 7.19/5.14 inference(tautology,[status(thm)],[])).
% 7.19/5.14 tff(6728,plain,
% 7.19/5.14 (~((~v90(constB42, bitIndex2)) <=> v129(constB42, bitIndex2))),
% 7.19/5.14 inference(unit_resolution,[status(thm)],[6727, 6726])).
% 7.19/5.14 tff(6729,plain,
% 7.19/5.14 (((~v90(constB42, bitIndex2)) <=> v129(constB42, bitIndex2)) | v90(constB42, bitIndex2) | (~v129(constB42, bitIndex2))),
% 7.19/5.14 inference(tautology,[status(thm)],[])).
% 7.19/5.14 tff(6730,plain,
% 7.19/5.14 (v90(constB42, bitIndex2)),
% 7.19/5.14 inference(unit_resolution,[status(thm)],[6729, 6728, 6634])).
% 7.19/5.14 tff(6731,plain,
% 7.19/5.14 (((~v90(constB43, bitIndex2)) <=> v90(constB42, bitIndex2)) | v90(constB43, bitIndex2) | (~v90(constB42, bitIndex2))),
% 7.19/5.14 inference(tautology,[status(thm)],[])).
% 7.19/5.14 tff(6732,plain,
% 7.19/5.14 (v90(constB43, bitIndex2)),
% 7.19/5.14 inference(unit_resolution,[status(thm)],[6731, 6730, 1829])).
% 7.19/5.14 tff(6733,plain,
% 7.19/5.14 ((((~v90(constB43, bitIndex1)) <=> v90(constB42, bitIndex1)) | ((~v90(constB43, bitIndex2)) <=> v90(constB42, bitIndex2)) | ((~v90(constB43, bitIndex0)) <=> v90(constB42, bitIndex0))) | (~((~v90(constB43, bitIndex0)) <=> v90(constB42, bitIndex0)))),
% 7.19/5.14 inference(tautology,[status(thm)],[])).
% 7.19/5.14 tff(6734,plain,
% 7.19/5.14 (~((~v90(constB43, bitIndex0)) <=> v90(constB42, bitIndex0))),
% 7.19/5.14 inference(unit_resolution,[status(thm)],[6733, 1827])).
% 7.19/5.14 tff(6735,plain,
% 7.19/5.14 ((((~v129(constB42, bitIndex2)) <=> v127(constB41, bitIndex2)) | ((~v129(constB42, bitIndex1)) <=> v127(constB41, bitIndex1)) | ((~v129(constB42, bitIndex0)) <=> v127(constB41, bitIndex0))) | (~((~v129(constB42, bitIndex0)) <=> v127(constB41, bitIndex0)))),
% 7.19/5.14 inference(tautology,[status(thm)],[])).
% 7.19/5.14 tff(6736,plain,
% 7.19/5.14 (~((~v129(constB42, bitIndex0)) <=> v127(constB41, bitIndex0))),
% 7.19/5.14 inference(unit_resolution,[status(thm)],[6735, 1836])).
% 7.19/5.14 tff(6737,plain,
% 7.19/5.14 ((((~v127(constB41, bitIndex2)) <=> v130(constB41, bitIndex2)) | ((~v127(constB41, bitIndex1)) <=> v130(constB41, bitIndex1)) | ((~v127(constB41, bitIndex0)) <=> v130(constB41, bitIndex0))) | (~((~v127(constB41, bitIndex0)) <=> v130(constB41, bitIndex0)))),
% 7.19/5.14 inference(tautology,[status(thm)],[])).
% 7.19/5.14 tff(6738,plain,
% 7.19/5.14 (~((~v127(constB41, bitIndex0)) <=> v130(constB41, bitIndex0))),
% 7.19/5.14 inference(unit_resolution,[status(thm)],[6737, 1850])).
% 7.19/5.14 tff(6739,plain,
% 7.19/5.14 ((v130(constB41, bitIndex1) | v130(constB41, bitIndex0) | (~v130(constB41, bitIndex2))) | (~v130(constB41, bitIndex0))),
% 7.19/5.14 inference(tautology,[status(thm)],[])).
% 7.19/5.14 tff(6740,plain,
% 7.19/5.14 (~v130(constB41, bitIndex0)),
% 7.19/5.14 inference(unit_resolution,[status(thm)],[6739, 6628])).
% 7.19/5.14 tff(6741,plain,
% 7.19/5.14 (((~v127(constB41, bitIndex0)) <=> v130(constB41, bitIndex0)) | (~v127(constB41, bitIndex0)) | v130(constB41, bitIndex0)),
% 7.19/5.14 inference(tautology,[status(thm)],[])).
% 7.19/5.14 tff(6742,plain,
% 7.19/5.14 (~v127(constB41, bitIndex0)),
% 7.19/5.14 inference(unit_resolution,[status(thm)],[6741, 6740, 6738])).
% 7.19/5.14 tff(6743,plain,
% 7.19/5.14 (((~v129(constB42, bitIndex0)) <=> v127(constB41, bitIndex0)) | (~v129(constB42, bitIndex0)) | v127(constB41, bitIndex0)),
% 7.19/5.14 inference(tautology,[status(thm)],[])).
% 7.19/5.14 tff(6744,plain,
% 7.19/5.14 (~v129(constB42, bitIndex0)),
% 7.19/5.14 inference(unit_resolution,[status(thm)],[6743, 6742, 6736])).
% 7.19/5.14 tff(6745,plain,
% 7.19/5.14 ((((~v90(constB42, bitIndex0)) <=> v129(constB42, bitIndex0)) | ((~v90(constB42, bitIndex2)) <=> v129(constB42, bitIndex2)) | ((~v90(constB42, bitIndex1)) <=> v129(constB42, bitIndex1))) | (~((~v90(constB42, bitIndex0)) <=> v129(constB42, bitIndex0)))),
% 7.19/5.14 inference(tautology,[status(thm)],[])).
% 7.19/5.14 tff(6746,plain,
% 7.19/5.14 (~((~v90(constB42, bitIndex0)) <=> v129(constB42, bitIndex0))),
% 7.19/5.14 inference(unit_resolution,[status(thm)],[6745, 6726])).
% 7.19/5.14 tff(6747,plain,
% 7.19/5.14 (((~v90(constB42, bitIndex0)) <=> v129(constB42, bitIndex0)) | (~v90(constB42, bitIndex0)) | v129(constB42, bitIndex0)),
% 7.19/5.14 inference(tautology,[status(thm)],[])).
% 7.19/5.14 tff(6748,plain,
% 7.19/5.14 (~v90(constB42, bitIndex0)),
% 7.19/5.14 inference(unit_resolution,[status(thm)],[6747, 6746, 6744])).
% 7.19/5.14 tff(6749,plain,
% 7.19/5.14 (((~v90(constB43, bitIndex0)) <=> v90(constB42, bitIndex0)) | (~v90(constB43, bitIndex0)) | v90(constB42, bitIndex0)),
% 7.19/5.14 inference(tautology,[status(thm)],[])).
% 7.19/5.14 tff(6750,plain,
% 7.19/5.14 (~v90(constB43, bitIndex0)),
% 7.19/5.14 inference(unit_resolution,[status(thm)],[6749, 6748, 6734])).
% 7.19/5.14 tff(6751,plain,
% 7.19/5.14 ((((~v90(constB43, bitIndex1)) <=> v90(constB42, bitIndex1)) | ((~v90(constB43, bitIndex2)) <=> v90(constB42, bitIndex2)) | ((~v90(constB43, bitIndex0)) <=> v90(constB42, bitIndex0))) | (~((~v90(constB43, bitIndex1)) <=> v90(constB42, bitIndex1)))),
% 7.19/5.14 inference(tautology,[status(thm)],[])).
% 7.19/5.14 tff(6752,plain,
% 7.19/5.14 (~((~v90(constB43, bitIndex1)) <=> v90(constB42, bitIndex1))),
% 7.19/5.14 inference(unit_resolution,[status(thm)],[6751, 1827])).
% 7.19/5.14 tff(6753,plain,
% 7.19/5.14 ((((~v129(constB42, bitIndex2)) <=> v127(constB41, bitIndex2)) | ((~v129(constB42, bitIndex1)) <=> v127(constB41, bitIndex1)) | ((~v129(constB42, bitIndex0)) <=> v127(constB41, bitIndex0))) | (~((~v129(constB42, bitIndex1)) <=> v127(constB41, bitIndex1)))),
% 7.19/5.14 inference(tautology,[status(thm)],[])).
% 7.19/5.14 tff(6754,plain,
% 7.19/5.14 (~((~v129(constB42, bitIndex1)) <=> v127(constB41, bitIndex1))),
% 7.19/5.14 inference(unit_resolution,[status(thm)],[6753, 1836])).
% 7.19/5.14 tff(6755,plain,
% 7.19/5.14 ((((~v127(constB41, bitIndex2)) <=> v130(constB41, bitIndex2)) | ((~v127(constB41, bitIndex1)) <=> v130(constB41, bitIndex1)) | ((~v127(constB41, bitIndex0)) <=> v130(constB41, bitIndex0))) | (~((~v127(constB41, bitIndex1)) <=> v130(constB41, bitIndex1)))),
% 7.19/5.14 inference(tautology,[status(thm)],[])).
% 7.19/5.14 tff(6756,plain,
% 7.19/5.14 (~((~v127(constB41, bitIndex1)) <=> v130(constB41, bitIndex1))),
% 7.19/5.14 inference(unit_resolution,[status(thm)],[6755, 1850])).
% 7.19/5.14 tff(6757,plain,
% 7.19/5.14 ((v130(constB41, bitIndex1) | v130(constB41, bitIndex0) | (~v130(constB41, bitIndex2))) | (~v130(constB41, bitIndex1))),
% 7.19/5.14 inference(tautology,[status(thm)],[])).
% 7.19/5.14 tff(6758,plain,
% 7.19/5.14 (~v130(constB41, bitIndex1)),
% 7.19/5.14 inference(unit_resolution,[status(thm)],[6757, 6628])).
% 7.19/5.14 tff(6759,plain,
% 7.19/5.14 (((~v127(constB41, bitIndex1)) <=> v130(constB41, bitIndex1)) | (~v127(constB41, bitIndex1)) | v130(constB41, bitIndex1)),
% 7.19/5.14 inference(tautology,[status(thm)],[])).
% 7.19/5.14 tff(6760,plain,
% 7.19/5.14 (~v127(constB41, bitIndex1)),
% 7.19/5.14 inference(unit_resolution,[status(thm)],[6759, 6758, 6756])).
% 7.19/5.14 tff(6761,plain,
% 7.19/5.14 (((~v129(constB42, bitIndex1)) <=> v127(constB41, bitIndex1)) | (~v129(constB42, bitIndex1)) | v127(constB41, bitIndex1)),
% 7.19/5.14 inference(tautology,[status(thm)],[])).
% 7.19/5.14 tff(6762,plain,
% 7.19/5.14 (~v129(constB42, bitIndex1)),
% 7.19/5.14 inference(unit_resolution,[status(thm)],[6761, 6760, 6754])).
% 7.19/5.14 tff(6763,plain,
% 7.19/5.14 ((((~v90(constB42, bitIndex0)) <=> v129(constB42, bitIndex0)) | ((~v90(constB42, bitIndex2)) <=> v129(constB42, bitIndex2)) | ((~v90(constB42, bitIndex1)) <=> v129(constB42, bitIndex1))) | (~((~v90(constB42, bitIndex1)) <=> v129(constB42, bitIndex1)))),
% 7.19/5.14 inference(tautology,[status(thm)],[])).
% 7.19/5.14 tff(6764,plain,
% 7.19/5.14 (~((~v90(constB42, bitIndex1)) <=> v129(constB42, bitIndex1))),
% 7.19/5.14 inference(unit_resolution,[status(thm)],[6763, 6726])).
% 7.19/5.14 tff(6765,plain,
% 7.19/5.14 (((~v90(constB42, bitIndex1)) <=> v129(constB42, bitIndex1)) | (~v90(constB42, bitIndex1)) | v129(constB42, bitIndex1)),
% 7.19/5.14 inference(tautology,[status(thm)],[])).
% 7.19/5.14 tff(6766,plain,
% 7.19/5.14 (~v90(constB42, bitIndex1)),
% 7.19/5.14 inference(unit_resolution,[status(thm)],[6765, 6764, 6762])).
% 7.19/5.14 tff(6767,plain,
% 7.19/5.14 (((~v90(constB43, bitIndex1)) <=> v90(constB42, bitIndex1)) | (~v90(constB43, bitIndex1)) | v90(constB42, bitIndex1)),
% 7.19/5.14 inference(tautology,[status(thm)],[])).
% 7.19/5.14 tff(6768,plain,
% 7.19/5.14 (~v90(constB43, bitIndex1)),
% 7.19/5.14 inference(unit_resolution,[status(thm)],[6767, 6766, 6752])).
% 7.19/5.14 tff(6769,plain,
% 7.19/5.14 ((~(v90(constB43, bitIndex1) | v90(constB43, bitIndex0) | (~v90(constB43, bitIndex2)))) | v90(constB43, bitIndex1) | v90(constB43, bitIndex0) | (~v90(constB43, bitIndex2))),
% 7.19/5.14 inference(tautology,[status(thm)],[])).
% 7.19/5.14 tff(6770,plain,
% 7.19/5.14 (~(v90(constB43, bitIndex1) | v90(constB43, bitIndex0) | (~v90(constB43, bitIndex2)))),
% 7.19/5.14 inference(unit_resolution,[status(thm)],[6769, 6768, 6750, 6732])).
% 7.19/5.14 tff(6771,plain,
% 7.19/5.14 ((~(v123(constB43) <=> (~(v90(constB43, bitIndex1) | v90(constB43, bitIndex0) | (~v90(constB43, bitIndex2)))))) | v123(constB43) | (v90(constB43, bitIndex1) | v90(constB43, bitIndex0) | (~v90(constB43, bitIndex2)))),
% 7.19/5.14 inference(tautology,[status(thm)],[])).
% 7.19/5.14 tff(6772,plain,
% 7.19/5.14 (v123(constB43)),
% 7.19/5.14 inference(unit_resolution,[status(thm)],[6771, 6770, 1793])).
% 7.19/5.14 tff(6773,plain,
% 7.19/5.14 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | ((~v123(constB43)) | (~(v130(constB43, bitIndex0) | (~v130(constB43, bitIndex2)) | (~v130(constB43, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | (~v123(constB43)) | (~(v130(constB43, bitIndex0) | (~v130(constB43, bitIndex2)) | (~v130(constB43, bitIndex1)))))),
% 7.19/5.14 inference(rewrite,[status(thm)],[])).
% 7.19/5.14 tff(6774,plain,
% 7.19/5.14 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | ((~v123(constB43)) | (~(v130(constB43, bitIndex0) | (~v130(constB43, bitIndex2)) | (~v130(constB43, bitIndex1)))))),
% 7.19/5.14 inference(quant_inst,[status(thm)],[])).
% 7.19/5.14 tff(6775,plain,
% 7.19/5.14 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | (~v123(constB43)) | (~(v130(constB43, bitIndex0) | (~v130(constB43, bitIndex2)) | (~v130(constB43, bitIndex1))))),
% 7.19/5.14 inference(modus_ponens,[status(thm)],[6774, 6773])).
% 7.19/5.14 tff(6776,plain,
% 7.19/5.14 ((~v123(constB43)) | (~(v130(constB43, bitIndex0) | (~v130(constB43, bitIndex2)) | (~v130(constB43, bitIndex1))))),
% 7.19/5.14 inference(unit_resolution,[status(thm)],[6775, 3496])).
% 7.19/5.14 tff(6777,plain,
% 7.19/5.14 (~(v130(constB43, bitIndex0) | (~v130(constB43, bitIndex2)) | (~v130(constB43, bitIndex1)))),
% 7.19/5.14 inference(unit_resolution,[status(thm)],[6776, 6772])).
% 7.19/5.14 tff(6778,plain,
% 7.19/5.14 ((v130(constB43, bitIndex0) | (~v130(constB43, bitIndex2)) | (~v130(constB43, bitIndex1))) | v130(constB43, bitIndex2)),
% 7.19/5.14 inference(tautology,[status(thm)],[])).
% 7.19/5.14 tff(6779,plain,
% 7.19/5.14 (v130(constB43, bitIndex2)),
% 7.19/5.14 inference(unit_resolution,[status(thm)],[6778, 6777])).
% 7.19/5.14 tff(6780,plain,
% 7.19/5.14 (((~v127(constB43, bitIndex2)) <=> v130(constB43, bitIndex2)) | v127(constB43, bitIndex2) | (~v130(constB43, bitIndex2))),
% 7.19/5.14 inference(tautology,[status(thm)],[])).
% 7.19/5.14 tff(6781,plain,
% 7.19/5.14 (v127(constB43, bitIndex2)),
% 7.19/5.14 inference(unit_resolution,[status(thm)],[6780, 6779, 1786])).
% 7.19/5.14 tff(6782,plain,
% 7.19/5.14 (((~v129(constB44, bitIndex2)) <=> v127(constB43, bitIndex2)) | v129(constB44, bitIndex2) | (~v127(constB43, bitIndex2))),
% 7.19/5.14 inference(tautology,[status(thm)],[])).
% 7.19/5.14 tff(6783,plain,
% 7.19/5.14 (v129(constB44, bitIndex2)),
% 7.19/5.14 inference(unit_resolution,[status(thm)],[6782, 6781, 1772])).
% 7.19/5.14 tff(6784,plain,
% 7.19/5.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB43, constB44)) | (v100(constB44) <=> (~((~v101(constB44)) | (~v110(constB44))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB43, constB44)) | (v100(constB44) <=> (~((~v101(constB44)) | (~v110(constB44))))))),
% 7.19/5.14 inference(rewrite,[status(thm)],[])).
% 7.19/5.14 tff(6785,plain,
% 7.19/5.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB43, constB44)) | (v100(constB44) <=> (~((~v101(constB44)) | (~v110(constB44))))))),
% 7.19/5.14 inference(quant_inst,[status(thm)],[])).
% 7.19/5.14 tff(6786,plain,
% 7.19/5.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB43, constB44)) | (v100(constB44) <=> (~((~v101(constB44)) | (~v110(constB44)))))),
% 7.19/5.14 inference(modus_ponens,[status(thm)],[6785, 6784])).
% 7.19/5.14 tff(6787,plain,
% 7.19/5.14 (v100(constB44) <=> (~((~v101(constB44)) | (~v110(constB44))))),
% 7.19/5.14 inference(unit_resolution,[status(thm)],[6786, 1766, 445])).
% 7.19/5.14 tff(6788,plain,
% 7.19/5.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB43, constB44)) | (v101(constB44) <=> (~((~v1(constB44)) | (~v102(constB44))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB43, constB44)) | (v101(constB44) <=> (~((~v1(constB44)) | (~v102(constB44))))))),
% 7.19/5.14 inference(rewrite,[status(thm)],[])).
% 7.19/5.14 tff(6789,plain,
% 7.19/5.14 (((~nextState(constB43, constB44)) | (v101(constB44) <=> (~((~v102(constB44)) | (~v1(constB44)))))) <=> ((~nextState(constB43, constB44)) | (v101(constB44) <=> (~((~v1(constB44)) | (~v102(constB44))))))),
% 7.19/5.14 inference(rewrite,[status(thm)],[])).
% 7.19/5.14 tff(6790,plain,
% 7.19/5.14 (((~![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) <=> (~((~v1(constB44)) | (~v102(constB44)))))))),
% 7.19/5.14 inference(monotonicity,[status(thm)],[6789])).
% 7.19/5.14 tff(6791,plain,
% 7.19/5.14 (((~![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) <=> (~((~v1(constB44)) | (~v102(constB44))))))),
% 7.19/5.14 inference(transitivity,[status(thm)],[6790, 6788])).
% 7.19/5.14 tff(6792,plain,
% 7.19/5.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB43, constB44)) | (v101(constB44) <=> (~((~v102(constB44)) | (~v1(constB44))))))),
% 7.19/5.14 inference(quant_inst,[status(thm)],[])).
% 7.19/5.14 tff(6793,plain,
% 7.19/5.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB43, constB44)) | (v101(constB44) <=> (~((~v1(constB44)) | (~v102(constB44)))))),
% 7.19/5.14 inference(modus_ponens,[status(thm)],[6792, 6791])).
% 7.19/5.14 tff(6794,plain,
% 7.19/5.14 (v101(constB44) <=> (~((~v1(constB44)) | (~v102(constB44))))),
% 7.19/5.14 inference(unit_resolution,[status(thm)],[6793, 1766, 465])).
% 7.19/5.14 tff(6795,plain,
% 7.19/5.14 (((~![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)))),
% 7.19/5.14 inference(rewrite,[status(thm)],[])).
% 7.19/5.14 tff(6796,plain,
% 7.19/5.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB43, constB44)) | ((~v102(constB44)) <=> v104(constB44)))),
% 7.19/5.14 inference(quant_inst,[status(thm)],[])).
% 7.19/5.14 tff(6797,plain,
% 7.19/5.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB43, constB44)) | ((~v102(constB44)) <=> v104(constB44))),
% 7.19/5.14 inference(modus_ponens,[status(thm)],[6796, 6795])).
% 7.19/5.14 tff(6798,plain,
% 7.19/5.14 ((~v102(constB44)) <=> v104(constB44)),
% 7.19/5.14 inference(unit_resolution,[status(thm)],[6797, 1766, 3244])).
% 7.19/5.14 tff(6799,plain,
% 7.19/5.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB43, constB44)) | (v104(constB44) <=> v1(constB43)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB43, constB44)) | (v104(constB44) <=> v1(constB43)))),
% 7.19/5.14 inference(rewrite,[status(thm)],[])).
% 7.19/5.14 tff(6800,plain,
% 7.19/5.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB43, constB44)) | (v104(constB44) <=> v1(constB43)))),
% 7.19/5.14 inference(quant_inst,[status(thm)],[])).
% 7.19/5.14 tff(6801,plain,
% 7.19/5.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB43, constB44)) | (v104(constB44) <=> v1(constB43))),
% 7.19/5.14 inference(modus_ponens,[status(thm)],[6800, 6799])).
% 7.19/5.14 tff(6802,plain,
% 7.19/5.14 (v104(constB44) <=> v1(constB43)),
% 7.19/5.14 inference(unit_resolution,[status(thm)],[6801, 1766, 3258])).
% 7.19/5.14 tff(6803,plain,
% 7.19/5.14 ((~(v104(constB44) <=> v1(constB43))) | (~v104(constB44)) | v1(constB43)),
% 7.19/5.14 inference(tautology,[status(thm)],[])).
% 7.19/5.14 tff(6804,plain,
% 7.19/5.14 ((~(v104(constB44) <=> v1(constB43))) | (~v104(constB44))),
% 7.19/5.14 inference(unit_resolution,[status(thm)],[6803, 1810])).
% 7.19/5.14 tff(6805,plain,
% 7.19/5.14 (~v104(constB44)),
% 7.19/5.14 inference(unit_resolution,[status(thm)],[6804, 6802])).
% 7.19/5.14 tff(6806,plain,
% 7.19/5.14 ((~((~v102(constB44)) <=> v104(constB44))) | v102(constB44) | v104(constB44)),
% 7.19/5.14 inference(tautology,[status(thm)],[])).
% 7.19/5.14 tff(6807,plain,
% 7.19/5.14 (v102(constB44)),
% 7.19/5.14 inference(unit_resolution,[status(thm)],[6806, 6805, 6798])).
% 7.19/5.14 tff(6808,plain,
% 7.19/5.14 (v1(constB44) <=> v1(constB44)),
% 7.19/5.14 inference(rewrite,[status(thm)],[])).
% 7.19/5.14 tff(6809,axiom,(v1(constB44)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_44')).
% 7.19/5.14 tff(6810,plain,
% 7.19/5.14 (v1(constB44)),
% 7.19/5.14 inference(modus_ponens,[status(thm)],[6809, 6808])).
% 7.19/5.14 tff(6811,plain,
% 7.19/5.14 ((~((~v1(constB44)) | (~v102(constB44)))) | (~v1(constB44)) | (~v102(constB44))),
% 7.19/5.14 inference(tautology,[status(thm)],[])).
% 7.19/5.14 tff(6812,plain,
% 7.19/5.14 ((~((~v1(constB44)) | (~v102(constB44)))) | (~v102(constB44))),
% 7.19/5.14 inference(unit_resolution,[status(thm)],[6811, 6810])).
% 7.19/5.14 tff(6813,plain,
% 7.19/5.14 (~((~v1(constB44)) | (~v102(constB44)))),
% 7.19/5.14 inference(unit_resolution,[status(thm)],[6812, 6807])).
% 7.19/5.14 tff(6814,plain,
% 7.19/5.14 ((~(v101(constB44) <=> (~((~v1(constB44)) | (~v102(constB44)))))) | v101(constB44) | ((~v1(constB44)) | (~v102(constB44)))),
% 7.19/5.14 inference(tautology,[status(thm)],[])).
% 7.19/5.14 tff(6815,plain,
% 7.19/5.14 (v101(constB44)),
% 7.19/5.14 inference(unit_resolution,[status(thm)],[6814, 6813, 6794])).
% 7.19/5.14 tff(6816,plain,
% 7.19/5.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB43, constB44)) | (v110(constB44) <=> v108(constB43)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB43, constB44)) | (v110(constB44) <=> v108(constB43)))),
% 7.19/5.14 inference(rewrite,[status(thm)],[])).
% 7.19/5.14 tff(6817,plain,
% 7.19/5.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB43, constB44)) | (v110(constB44) <=> v108(constB43)))),
% 7.19/5.14 inference(quant_inst,[status(thm)],[])).
% 7.19/5.14 tff(6818,plain,
% 7.19/5.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB43, constB44)) | (v110(constB44) <=> v108(constB43))),
% 7.19/5.14 inference(modus_ponens,[status(thm)],[6817, 6816])).
% 7.19/5.14 tff(6819,plain,
% 7.19/5.14 (v110(constB44) <=> v108(constB43)),
% 7.19/5.14 inference(unit_resolution,[status(thm)],[6818, 1766, 3285])).
% 7.19/5.14 tff(6820,plain,
% 7.19/5.14 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB43) <=> (v111(constB43) | v112(constB43)))),
% 7.19/5.14 inference(quant_inst,[status(thm)],[])).
% 7.19/5.14 tff(6821,plain,
% 7.19/5.14 (v108(constB43) <=> (v111(constB43) | v112(constB43))),
% 7.19/5.14 inference(unit_resolution,[status(thm)],[6820, 3296])).
% 7.19/5.14 tff(6822,plain,
% 7.19/5.14 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB43) <=> (~((~v113(constB43)) | (~v126(constB43)))))),
% 7.19/5.14 inference(quant_inst,[status(thm)],[])).
% 7.19/5.14 tff(6823,plain,
% 7.19/5.14 (v112(constB43) <=> (~((~v113(constB43)) | (~v126(constB43))))),
% 7.19/5.14 inference(unit_resolution,[status(thm)],[6822, 3308])).
% 7.19/5.15 tff(6824,plain,
% 7.19/5.15 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB43) <=> (v114(constB43) | v125(constB43)))),
% 7.19/5.15 inference(quant_inst,[status(thm)],[])).
% 7.19/5.15 tff(6825,plain,
% 7.19/5.15 (v113(constB43) <=> (v114(constB43) | v125(constB43))),
% 7.19/5.15 inference(unit_resolution,[status(thm)],[6824, 3317])).
% 7.19/5.15 tff(6826,plain,
% 7.19/5.15 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB43) <=> (v115(constB43) | v124(constB43)))),
% 7.19/5.15 inference(quant_inst,[status(thm)],[])).
% 7.19/5.15 tff(6827,plain,
% 7.19/5.15 (v114(constB43) <=> (v115(constB43) | v124(constB43))),
% 7.19/5.15 inference(unit_resolution,[status(thm)],[6826, 3326])).
% 7.19/5.15 tff(6828,plain,
% 7.19/5.15 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB43) <=> (v116(constB43) | v123(constB43)))),
% 7.19/5.15 inference(quant_inst,[status(thm)],[])).
% 7.19/5.15 tff(6829,plain,
% 7.19/5.15 (v115(constB43) <=> (v116(constB43) | v123(constB43))),
% 7.19/5.15 inference(unit_resolution,[status(thm)],[6828, 3335])).
% 7.19/5.15 tff(6830,plain,
% 7.19/5.15 ((v116(constB43) | v123(constB43)) | (~v123(constB43))),
% 7.19/5.15 inference(tautology,[status(thm)],[])).
% 7.19/5.15 tff(6831,plain,
% 7.19/5.15 (v116(constB43) | v123(constB43)),
% 7.19/5.15 inference(unit_resolution,[status(thm)],[6830, 6772])).
% 7.19/5.15 tff(6832,plain,
% 7.19/5.15 ((~(v115(constB43) <=> (v116(constB43) | v123(constB43)))) | v115(constB43) | (~(v116(constB43) | v123(constB43)))),
% 7.19/5.15 inference(tautology,[status(thm)],[])).
% 7.19/5.15 tff(6833,plain,
% 7.19/5.15 (v115(constB43)),
% 7.19/5.15 inference(unit_resolution,[status(thm)],[6832, 6831, 6829])).
% 7.19/5.15 tff(6834,plain,
% 7.19/5.15 ((v115(constB43) | v124(constB43)) | (~v115(constB43))),
% 7.19/5.15 inference(tautology,[status(thm)],[])).
% 7.19/5.15 tff(6835,plain,
% 7.19/5.15 (v115(constB43) | v124(constB43)),
% 7.19/5.15 inference(unit_resolution,[status(thm)],[6834, 6833])).
% 7.19/5.15 tff(6836,plain,
% 7.19/5.15 ((~(v114(constB43) <=> (v115(constB43) | v124(constB43)))) | v114(constB43) | (~(v115(constB43) | v124(constB43)))),
% 7.19/5.15 inference(tautology,[status(thm)],[])).
% 7.19/5.15 tff(6837,plain,
% 7.19/5.15 (v114(constB43)),
% 7.19/5.15 inference(unit_resolution,[status(thm)],[6836, 6835, 6827])).
% 7.19/5.15 tff(6838,plain,
% 7.19/5.15 ((v114(constB43) | v125(constB43)) | (~v114(constB43))),
% 7.19/5.15 inference(tautology,[status(thm)],[])).
% 7.19/5.15 tff(6839,plain,
% 7.19/5.15 (v114(constB43) | v125(constB43)),
% 7.19/5.15 inference(unit_resolution,[status(thm)],[6838, 6837])).
% 7.19/5.15 tff(6840,plain,
% 7.19/5.15 ((~(v113(constB43) <=> (v114(constB43) | v125(constB43)))) | v113(constB43) | (~(v114(constB43) | v125(constB43)))),
% 7.19/5.15 inference(tautology,[status(thm)],[])).
% 7.19/5.15 tff(6841,plain,
% 7.19/5.15 (v113(constB43)),
% 7.19/5.15 inference(unit_resolution,[status(thm)],[6840, 6839, 6825])).
% 7.19/5.15 tff(6842,plain,
% 7.19/5.15 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB43)) <=> v111(constB43))),
% 7.19/5.15 inference(quant_inst,[status(thm)],[])).
% 7.19/5.15 tff(6843,plain,
% 7.19/5.15 ((~v126(constB43)) <=> v111(constB43)),
% 7.19/5.15 inference(unit_resolution,[status(thm)],[6842, 3396])).
% 7.19/5.15 tff(6844,plain,
% 7.19/5.15 ((~((~v126(constB43)) <=> v111(constB43))) | v126(constB43) | v111(constB43)),
% 7.19/5.15 inference(tautology,[status(thm)],[])).
% 7.19/5.15 tff(6845,plain,
% 7.19/5.15 ((~((~v126(constB43)) <=> v111(constB43))) | v126(constB43)),
% 7.19/5.15 inference(unit_resolution,[status(thm)],[6844, 1779])).
% 7.19/5.15 tff(6846,plain,
% 7.19/5.15 (v126(constB43)),
% 7.19/5.15 inference(unit_resolution,[status(thm)],[6845, 6843])).
% 7.19/5.15 tff(6847,plain,
% 7.19/5.15 ((~((~v113(constB43)) | (~v126(constB43)))) | (~v113(constB43)) | (~v126(constB43))),
% 7.19/5.15 inference(tautology,[status(thm)],[])).
% 7.19/5.15 tff(6848,plain,
% 7.19/5.15 ((~((~v113(constB43)) | (~v126(constB43)))) | (~v113(constB43))),
% 7.19/5.15 inference(unit_resolution,[status(thm)],[6847, 6846])).
% 7.19/5.15 tff(6849,plain,
% 7.19/5.15 (~((~v113(constB43)) | (~v126(constB43)))),
% 7.19/5.15 inference(unit_resolution,[status(thm)],[6848, 6841])).
% 7.19/5.15 tff(6850,plain,
% 7.19/5.15 ((~(v112(constB43) <=> (~((~v113(constB43)) | (~v126(constB43)))))) | v112(constB43) | ((~v113(constB43)) | (~v126(constB43)))),
% 7.19/5.15 inference(tautology,[status(thm)],[])).
% 7.19/5.15 tff(6851,plain,
% 7.19/5.15 (v112(constB43)),
% 7.19/5.15 inference(unit_resolution,[status(thm)],[6850, 6849, 6823])).
% 7.19/5.15 tff(6852,plain,
% 7.19/5.15 ((v111(constB43) | v112(constB43)) | (~v112(constB43))),
% 7.19/5.15 inference(tautology,[status(thm)],[])).
% 7.19/5.15 tff(6853,plain,
% 7.19/5.15 (v111(constB43) | v112(constB43)),
% 7.19/5.15 inference(unit_resolution,[status(thm)],[6852, 6851])).
% 7.19/5.15 tff(6854,plain,
% 7.19/5.15 ((~(v108(constB43) <=> (v111(constB43) | v112(constB43)))) | v108(constB43) | (~(v111(constB43) | v112(constB43)))),
% 7.19/5.15 inference(tautology,[status(thm)],[])).
% 7.19/5.15 tff(6855,plain,
% 7.19/5.15 (v108(constB43)),
% 7.19/5.15 inference(unit_resolution,[status(thm)],[6854, 6853, 6821])).
% 7.19/5.15 tff(6856,plain,
% 7.19/5.15 ((~(v110(constB44) <=> v108(constB43))) | v110(constB44) | (~v108(constB43))),
% 7.19/5.15 inference(tautology,[status(thm)],[])).
% 7.19/5.15 tff(6857,plain,
% 7.19/5.15 (v110(constB44)),
% 7.19/5.15 inference(unit_resolution,[status(thm)],[6856, 6855, 6819])).
% 7.19/5.15 tff(6858,plain,
% 7.19/5.15 ((~((~v101(constB44)) | (~v110(constB44)))) | (~v101(constB44)) | (~v110(constB44))),
% 7.19/5.15 inference(tautology,[status(thm)],[])).
% 7.19/5.15 tff(6859,plain,
% 7.19/5.15 (~((~v101(constB44)) | (~v110(constB44)))),
% 7.19/5.15 inference(unit_resolution,[status(thm)],[6858, 6857, 6815])).
% 7.19/5.15 tff(6860,plain,
% 7.19/5.15 ((~(v100(constB44) <=> (~((~v101(constB44)) | (~v110(constB44)))))) | v100(constB44) | ((~v101(constB44)) | (~v110(constB44)))),
% 7.19/5.15 inference(tautology,[status(thm)],[])).
% 7.19/5.15 tff(6861,plain,
% 7.19/5.15 (v100(constB44)),
% 7.19/5.15 inference(unit_resolution,[status(thm)],[6860, 6859, 6787])).
% 7.19/5.15 tff(6862,plain,
% 7.19/5.15 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB44)) | (~(((~v90(constB44, bitIndex2)) <=> v129(constB44, bitIndex2)) | ((~v90(constB44, bitIndex1)) <=> v129(constB44, bitIndex1)) | ((~v90(constB44, bitIndex0)) <=> v129(constB44, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB44)) | (~(((~v90(constB44, bitIndex2)) <=> v129(constB44, bitIndex2)) | ((~v90(constB44, bitIndex1)) <=> v129(constB44, bitIndex1)) | ((~v90(constB44, bitIndex0)) <=> v129(constB44, bitIndex0)))))),
% 7.19/5.15 inference(rewrite,[status(thm)],[])).
% 7.19/5.15 tff(6863,plain,
% 7.19/5.15 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB44)) | (~(((~v90(constB44, bitIndex2)) <=> v129(constB44, bitIndex2)) | ((~v90(constB44, bitIndex1)) <=> v129(constB44, bitIndex1)) | ((~v90(constB44, bitIndex0)) <=> v129(constB44, bitIndex0)))))),
% 7.19/5.15 inference(quant_inst,[status(thm)],[])).
% 7.19/5.15 tff(6864,plain,
% 7.19/5.15 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB44)) | (~(((~v90(constB44, bitIndex2)) <=> v129(constB44, bitIndex2)) | ((~v90(constB44, bitIndex1)) <=> v129(constB44, bitIndex1)) | ((~v90(constB44, bitIndex0)) <=> v129(constB44, bitIndex0))))),
% 7.19/5.15 inference(modus_ponens,[status(thm)],[6863, 6862])).
% 7.19/5.15 tff(6865,plain,
% 7.19/5.15 ((~v100(constB44)) | (~(((~v90(constB44, bitIndex2)) <=> v129(constB44, bitIndex2)) | ((~v90(constB44, bitIndex1)) <=> v129(constB44, bitIndex1)) | ((~v90(constB44, bitIndex0)) <=> v129(constB44, bitIndex0))))),
% 7.19/5.15 inference(unit_resolution,[status(thm)],[6864, 3429])).
% 7.19/5.15 tff(6866,plain,
% 7.19/5.15 (~(((~v90(constB44, bitIndex2)) <=> v129(constB44, bitIndex2)) | ((~v90(constB44, bitIndex1)) <=> v129(constB44, bitIndex1)) | ((~v90(constB44, bitIndex0)) <=> v129(constB44, bitIndex0)))),
% 7.19/5.15 inference(unit_resolution,[status(thm)],[6865, 6861])).
% 7.19/5.15 tff(6867,plain,
% 7.19/5.15 ((((~v90(constB44, bitIndex2)) <=> v129(constB44, bitIndex2)) | ((~v90(constB44, bitIndex1)) <=> v129(constB44, bitIndex1)) | ((~v90(constB44, bitIndex0)) <=> v129(constB44, bitIndex0))) | (~((~v90(constB44, bitIndex2)) <=> v129(constB44, bitIndex2)))),
% 7.19/5.15 inference(tautology,[status(thm)],[])).
% 7.19/5.15 tff(6868,plain,
% 7.19/5.15 (~((~v90(constB44, bitIndex2)) <=> v129(constB44, bitIndex2))),
% 7.19/5.15 inference(unit_resolution,[status(thm)],[6867, 6866])).
% 7.19/5.15 tff(6869,plain,
% 7.19/5.15 (((~v90(constB44, bitIndex2)) <=> v129(constB44, bitIndex2)) | v90(constB44, bitIndex2) | (~v129(constB44, bitIndex2))),
% 7.19/5.15 inference(tautology,[status(thm)],[])).
% 7.19/5.15 tff(6870,plain,
% 7.19/5.15 (v90(constB44, bitIndex2)),
% 7.19/5.15 inference(unit_resolution,[status(thm)],[6869, 6868, 6783])).
% 7.19/5.15 tff(6871,plain,
% 7.19/5.15 (((~v90(constB45, bitIndex2)) <=> v90(constB44, bitIndex2)) | v90(constB45, bitIndex2) | (~v90(constB44, bitIndex2))),
% 7.19/5.15 inference(tautology,[status(thm)],[])).
% 7.19/5.15 tff(6872,plain,
% 7.19/5.15 (v90(constB45, bitIndex2)),
% 7.19/5.15 inference(unit_resolution,[status(thm)],[6871, 6870, 1763])).
% 7.19/5.15 tff(6873,plain,
% 7.19/5.15 ((v90(constB45, bitIndex0) | v90(constB45, bitIndex1) | v90(constB45, bitIndex2)) | (~v90(constB45, bitIndex2))),
% 7.19/5.15 inference(tautology,[status(thm)],[])).
% 7.19/5.15 tff(6874,plain,
% 7.19/5.15 (v90(constB45, bitIndex0) | v90(constB45, bitIndex1) | v90(constB45, bitIndex2)),
% 7.19/5.15 inference(unit_resolution,[status(thm)],[6873, 6872])).
% 7.19/5.15 tff(6875,plain,
% 7.19/5.15 ((~(v119(constB45) <=> (~(v90(constB45, bitIndex0) | v90(constB45, bitIndex1) | v90(constB45, bitIndex2))))) | (~v119(constB45)) | (~(v90(constB45, bitIndex0) | v90(constB45, bitIndex1) | v90(constB45, bitIndex2)))),
% 7.19/5.15 inference(tautology,[status(thm)],[])).
% 7.19/5.15 tff(6876,plain,
% 7.19/5.15 (~v119(constB45)),
% 7.19/5.15 inference(unit_resolution,[status(thm)],[6875, 6874, 1727])).
% 7.19/5.15 tff(6877,plain,
% 7.19/5.15 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB45) <=> (~(v90(constB45, bitIndex1) | (~v90(constB45, bitIndex2)) | (~v90(constB45, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB45) <=> (~(v90(constB45, bitIndex1) | (~v90(constB45, bitIndex2)) | (~v90(constB45, bitIndex0))))))),
% 7.19/5.15 inference(rewrite,[status(thm)],[])).
% 7.19/5.15 tff(6878,plain,
% 7.19/5.15 ((v124(constB45) <=> (~(v90(constB45, bitIndex1) | (~v90(constB45, bitIndex0)) | (~v90(constB45, bitIndex2))))) <=> (v124(constB45) <=> (~(v90(constB45, bitIndex1) | (~v90(constB45, bitIndex2)) | (~v90(constB45, bitIndex0)))))),
% 7.19/5.15 inference(rewrite,[status(thm)],[])).
% 7.19/5.15 tff(6879,plain,
% 7.19/5.15 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB45) <=> (~(v90(constB45, bitIndex1) | (~v90(constB45, bitIndex0)) | (~v90(constB45, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB45) <=> (~(v90(constB45, bitIndex1) | (~v90(constB45, bitIndex2)) | (~v90(constB45, bitIndex0))))))),
% 7.19/5.15 inference(monotonicity,[status(thm)],[6878])).
% 7.19/5.15 tff(6880,plain,
% 7.19/5.15 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB45) <=> (~(v90(constB45, bitIndex1) | (~v90(constB45, bitIndex0)) | (~v90(constB45, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB45) <=> (~(v90(constB45, bitIndex1) | (~v90(constB45, bitIndex2)) | (~v90(constB45, bitIndex0))))))),
% 7.19/5.15 inference(transitivity,[status(thm)],[6879, 6877])).
% 7.19/5.15 tff(6881,plain,
% 7.19/5.15 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB45) <=> (~(v90(constB45, bitIndex1) | (~v90(constB45, bitIndex0)) | (~v90(constB45, bitIndex2)))))),
% 7.19/5.15 inference(quant_inst,[status(thm)],[])).
% 7.19/5.15 tff(6882,plain,
% 7.19/5.15 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB45) <=> (~(v90(constB45, bitIndex1) | (~v90(constB45, bitIndex2)) | (~v90(constB45, bitIndex0)))))),
% 7.19/5.15 inference(modus_ponens,[status(thm)],[6881, 6880])).
% 7.19/5.15 tff(6883,plain,
% 7.19/5.15 (v124(constB45) <=> (~(v90(constB45, bitIndex1) | (~v90(constB45, bitIndex2)) | (~v90(constB45, bitIndex0))))),
% 7.19/5.15 inference(unit_resolution,[status(thm)],[6882, 3613])).
% 7.19/5.15 tff(6884,plain,
% 7.19/5.15 ((((~v90(constB45, bitIndex1)) <=> v90(constB44, bitIndex1)) | ((~v90(constB45, bitIndex2)) <=> v90(constB44, bitIndex2)) | ((~v90(constB45, bitIndex0)) <=> v90(constB44, bitIndex0))) | (~((~v90(constB45, bitIndex1)) <=> v90(constB44, bitIndex1)))),
% 7.19/5.15 inference(tautology,[status(thm)],[])).
% 7.19/5.15 tff(6885,plain,
% 7.19/5.15 (~((~v90(constB45, bitIndex1)) <=> v90(constB44, bitIndex1))),
% 7.19/5.15 inference(unit_resolution,[status(thm)],[6884, 1761])).
% 7.19/5.15 tff(6886,plain,
% 7.19/5.15 ((((~v129(constB44, bitIndex2)) <=> v127(constB43, bitIndex2)) | ((~v129(constB44, bitIndex1)) <=> v127(constB43, bitIndex1)) | ((~v129(constB44, bitIndex0)) <=> v127(constB43, bitIndex0))) | (~((~v129(constB44, bitIndex1)) <=> v127(constB43, bitIndex1)))),
% 7.19/5.15 inference(tautology,[status(thm)],[])).
% 7.19/5.15 tff(6887,plain,
% 7.19/5.15 (~((~v129(constB44, bitIndex1)) <=> v127(constB43, bitIndex1))),
% 7.19/5.15 inference(unit_resolution,[status(thm)],[6886, 1770])).
% 7.19/5.15 tff(6888,plain,
% 7.19/5.15 ((((~v127(constB43, bitIndex2)) <=> v130(constB43, bitIndex2)) | ((~v127(constB43, bitIndex1)) <=> v130(constB43, bitIndex1)) | ((~v127(constB43, bitIndex0)) <=> v130(constB43, bitIndex0))) | (~((~v127(constB43, bitIndex1)) <=> v130(constB43, bitIndex1)))),
% 7.19/5.15 inference(tautology,[status(thm)],[])).
% 7.19/5.15 tff(6889,plain,
% 7.19/5.15 (~((~v127(constB43, bitIndex1)) <=> v130(constB43, bitIndex1))),
% 7.19/5.15 inference(unit_resolution,[status(thm)],[6888, 1784])).
% 7.19/5.15 tff(6890,plain,
% 7.19/5.15 ((v130(constB43, bitIndex0) | (~v130(constB43, bitIndex2)) | (~v130(constB43, bitIndex1))) | v130(constB43, bitIndex1)),
% 7.19/5.15 inference(tautology,[status(thm)],[])).
% 7.19/5.15 tff(6891,plain,
% 7.19/5.15 (v130(constB43, bitIndex1)),
% 7.19/5.15 inference(unit_resolution,[status(thm)],[6890, 6777])).
% 7.19/5.15 tff(6892,plain,
% 7.19/5.15 (((~v127(constB43, bitIndex1)) <=> v130(constB43, bitIndex1)) | v127(constB43, bitIndex1) | (~v130(constB43, bitIndex1))),
% 7.19/5.15 inference(tautology,[status(thm)],[])).
% 7.19/5.15 tff(6893,plain,
% 7.19/5.15 (v127(constB43, bitIndex1)),
% 7.19/5.15 inference(unit_resolution,[status(thm)],[6892, 6891, 6889])).
% 7.19/5.15 tff(6894,plain,
% 7.19/5.15 (((~v129(constB44, bitIndex1)) <=> v127(constB43, bitIndex1)) | v129(constB44, bitIndex1) | (~v127(constB43, bitIndex1))),
% 7.19/5.15 inference(tautology,[status(thm)],[])).
% 7.19/5.15 tff(6895,plain,
% 7.19/5.15 (v129(constB44, bitIndex1)),
% 7.19/5.15 inference(unit_resolution,[status(thm)],[6894, 6893, 6887])).
% 7.19/5.15 tff(6896,plain,
% 7.19/5.15 ((((~v90(constB44, bitIndex2)) <=> v129(constB44, bitIndex2)) | ((~v90(constB44, bitIndex1)) <=> v129(constB44, bitIndex1)) | ((~v90(constB44, bitIndex0)) <=> v129(constB44, bitIndex0))) | (~((~v90(constB44, bitIndex1)) <=> v129(constB44, bitIndex1)))),
% 7.19/5.15 inference(tautology,[status(thm)],[])).
% 7.19/5.15 tff(6897,plain,
% 7.19/5.15 (~((~v90(constB44, bitIndex1)) <=> v129(constB44, bitIndex1))),
% 7.19/5.15 inference(unit_resolution,[status(thm)],[6896, 6866])).
% 7.19/5.15 tff(6898,plain,
% 7.19/5.15 (((~v90(constB44, bitIndex1)) <=> v129(constB44, bitIndex1)) | v90(constB44, bitIndex1) | (~v129(constB44, bitIndex1))),
% 7.19/5.15 inference(tautology,[status(thm)],[])).
% 7.19/5.15 tff(6899,plain,
% 7.19/5.15 (v90(constB44, bitIndex1)),
% 7.19/5.15 inference(unit_resolution,[status(thm)],[6898, 6897, 6895])).
% 7.19/5.15 tff(6900,plain,
% 7.19/5.15 (((~v90(constB45, bitIndex1)) <=> v90(constB44, bitIndex1)) | v90(constB45, bitIndex1) | (~v90(constB44, bitIndex1))),
% 7.19/5.15 inference(tautology,[status(thm)],[])).
% 7.19/5.15 tff(6901,plain,
% 7.19/5.15 (v90(constB45, bitIndex1)),
% 7.19/5.15 inference(unit_resolution,[status(thm)],[6900, 6899, 6885])).
% 7.19/5.15 tff(6902,plain,
% 7.19/5.15 ((v90(constB45, bitIndex1) | (~v90(constB45, bitIndex2)) | (~v90(constB45, bitIndex0))) | (~v90(constB45, bitIndex1))),
% 7.19/5.15 inference(tautology,[status(thm)],[])).
% 7.19/5.15 tff(6903,plain,
% 7.19/5.15 (v90(constB45, bitIndex1) | (~v90(constB45, bitIndex2)) | (~v90(constB45, bitIndex0))),
% 7.19/5.15 inference(unit_resolution,[status(thm)],[6902, 6901])).
% 7.19/5.15 tff(6904,plain,
% 7.19/5.15 ((~(v124(constB45) <=> (~(v90(constB45, bitIndex1) | (~v90(constB45, bitIndex2)) | (~v90(constB45, bitIndex0)))))) | (~v124(constB45)) | (~(v90(constB45, bitIndex1) | (~v90(constB45, bitIndex2)) | (~v90(constB45, bitIndex0))))),
% 7.19/5.15 inference(tautology,[status(thm)],[])).
% 7.19/5.15 tff(6905,plain,
% 7.19/5.15 (~v124(constB45)),
% 7.19/5.15 inference(unit_resolution,[status(thm)],[6904, 6903, 6883])).
% 7.19/5.15 tff(6906,plain,
% 7.19/5.15 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB45) <=> (~(v90(constB45, bitIndex1) | v90(constB45, bitIndex0) | (~v90(constB45, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB45) <=> (~(v90(constB45, bitIndex1) | v90(constB45, bitIndex0) | (~v90(constB45, bitIndex2))))))),
% 7.19/5.15 inference(rewrite,[status(thm)],[])).
% 7.19/5.15 tff(6907,plain,
% 7.19/5.15 ((v123(constB45) <=> (~(v90(constB45, bitIndex0) | v90(constB45, bitIndex1) | (~v90(constB45, bitIndex2))))) <=> (v123(constB45) <=> (~(v90(constB45, bitIndex1) | v90(constB45, bitIndex0) | (~v90(constB45, bitIndex2)))))),
% 7.19/5.15 inference(rewrite,[status(thm)],[])).
% 7.19/5.15 tff(6908,plain,
% 7.19/5.15 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB45) <=> (~(v90(constB45, bitIndex0) | v90(constB45, bitIndex1) | (~v90(constB45, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB45) <=> (~(v90(constB45, bitIndex1) | v90(constB45, bitIndex0) | (~v90(constB45, bitIndex2))))))),
% 7.19/5.15 inference(monotonicity,[status(thm)],[6907])).
% 7.19/5.15 tff(6909,plain,
% 7.19/5.15 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB45) <=> (~(v90(constB45, bitIndex0) | v90(constB45, bitIndex1) | (~v90(constB45, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB45) <=> (~(v90(constB45, bitIndex1) | v90(constB45, bitIndex0) | (~v90(constB45, bitIndex2))))))),
% 7.19/5.15 inference(transitivity,[status(thm)],[6908, 6906])).
% 7.19/5.15 tff(6910,plain,
% 7.19/5.15 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB45) <=> (~(v90(constB45, bitIndex0) | v90(constB45, bitIndex1) | (~v90(constB45, bitIndex2)))))),
% 7.19/5.15 inference(quant_inst,[status(thm)],[])).
% 7.19/5.15 tff(6911,plain,
% 7.19/5.15 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB45) <=> (~(v90(constB45, bitIndex1) | v90(constB45, bitIndex0) | (~v90(constB45, bitIndex2)))))),
% 7.19/5.15 inference(modus_ponens,[status(thm)],[6910, 6909])).
% 7.19/5.15 tff(6912,plain,
% 7.19/5.15 (v123(constB45) <=> (~(v90(constB45, bitIndex1) | v90(constB45, bitIndex0) | (~v90(constB45, bitIndex2))))),
% 7.19/5.15 inference(unit_resolution,[status(thm)],[6911, 800])).
% 7.19/5.15 tff(6913,plain,
% 7.19/5.15 ((v90(constB45, bitIndex1) | v90(constB45, bitIndex0) | (~v90(constB45, bitIndex2))) | (~v90(constB45, bitIndex1))),
% 7.19/5.15 inference(tautology,[status(thm)],[])).
% 7.19/5.15 tff(6914,plain,
% 7.19/5.15 (v90(constB45, bitIndex1) | v90(constB45, bitIndex0) | (~v90(constB45, bitIndex2))),
% 7.19/5.15 inference(unit_resolution,[status(thm)],[6913, 6901])).
% 7.19/5.15 tff(6915,plain,
% 7.19/5.15 ((~(v123(constB45) <=> (~(v90(constB45, bitIndex1) | v90(constB45, bitIndex0) | (~v90(constB45, bitIndex2)))))) | (~v123(constB45)) | (~(v90(constB45, bitIndex1) | v90(constB45, bitIndex0) | (~v90(constB45, bitIndex2))))),
% 7.19/5.15 inference(tautology,[status(thm)],[])).
% 7.19/5.15 tff(6916,plain,
% 7.19/5.15 (~v123(constB45)),
% 7.19/5.15 inference(unit_resolution,[status(thm)],[6915, 6914, 6912])).
% 7.19/5.15 tff(6917,plain,
% 7.19/5.15 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB45) <=> (~(v90(constB45, bitIndex2) | (~v90(constB45, bitIndex1)) | (~v90(constB45, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB45) <=> (~(v90(constB45, bitIndex2) | (~v90(constB45, bitIndex1)) | (~v90(constB45, bitIndex0))))))),
% 7.19/5.15 inference(rewrite,[status(thm)],[])).
% 7.19/5.15 tff(6918,plain,
% 7.19/5.15 ((v122(constB45) <=> (~(v90(constB45, bitIndex2) | (~v90(constB45, bitIndex0)) | (~v90(constB45, bitIndex1))))) <=> (v122(constB45) <=> (~(v90(constB45, bitIndex2) | (~v90(constB45, bitIndex1)) | (~v90(constB45, bitIndex0)))))),
% 7.19/5.15 inference(rewrite,[status(thm)],[])).
% 7.19/5.15 tff(6919,plain,
% 7.19/5.15 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB45) <=> (~(v90(constB45, bitIndex2) | (~v90(constB45, bitIndex0)) | (~v90(constB45, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB45) <=> (~(v90(constB45, bitIndex2) | (~v90(constB45, bitIndex1)) | (~v90(constB45, bitIndex0))))))),
% 7.19/5.15 inference(monotonicity,[status(thm)],[6918])).
% 7.19/5.15 tff(6920,plain,
% 7.19/5.15 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB45) <=> (~(v90(constB45, bitIndex2) | (~v90(constB45, bitIndex0)) | (~v90(constB45, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB45) <=> (~(v90(constB45, bitIndex2) | (~v90(constB45, bitIndex1)) | (~v90(constB45, bitIndex0))))))),
% 7.19/5.15 inference(transitivity,[status(thm)],[6919, 6917])).
% 7.19/5.15 tff(6921,plain,
% 7.19/5.15 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB45) <=> (~(v90(constB45, bitIndex2) | (~v90(constB45, bitIndex0)) | (~v90(constB45, bitIndex1)))))),
% 7.19/5.15 inference(quant_inst,[status(thm)],[])).
% 7.19/5.15 tff(6922,plain,
% 7.19/5.15 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB45) <=> (~(v90(constB45, bitIndex2) | (~v90(constB45, bitIndex1)) | (~v90(constB45, bitIndex0)))))),
% 7.19/5.15 inference(modus_ponens,[status(thm)],[6921, 6920])).
% 7.19/5.15 tff(6923,plain,
% 7.19/5.15 (v122(constB45) <=> (~(v90(constB45, bitIndex2) | (~v90(constB45, bitIndex1)) | (~v90(constB45, bitIndex0))))),
% 7.19/5.15 inference(unit_resolution,[status(thm)],[6922, 879])).
% 7.19/5.15 tff(6924,plain,
% 7.19/5.15 ((v90(constB45, bitIndex2) | (~v90(constB45, bitIndex1)) | (~v90(constB45, bitIndex0))) | (~v90(constB45, bitIndex2))),
% 7.19/5.15 inference(tautology,[status(thm)],[])).
% 7.19/5.15 tff(6925,plain,
% 7.19/5.15 (v90(constB45, bitIndex2) | (~v90(constB45, bitIndex1)) | (~v90(constB45, bitIndex0))),
% 7.19/5.15 inference(unit_resolution,[status(thm)],[6924, 6872])).
% 7.19/5.15 tff(6926,plain,
% 7.19/5.15 ((~(v122(constB45) <=> (~(v90(constB45, bitIndex2) | (~v90(constB45, bitIndex1)) | (~v90(constB45, bitIndex0)))))) | (~v122(constB45)) | (~(v90(constB45, bitIndex2) | (~v90(constB45, bitIndex1)) | (~v90(constB45, bitIndex0))))),
% 7.19/5.15 inference(tautology,[status(thm)],[])).
% 7.19/5.15 tff(6927,plain,
% 7.19/5.15 (~v122(constB45)),
% 7.19/5.15 inference(unit_resolution,[status(thm)],[6926, 6925, 6923])).
% 7.19/5.15 tff(6928,plain,
% 7.19/5.15 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB45) <=> (~(v90(constB45, bitIndex2) | v90(constB45, bitIndex0) | (~v90(constB45, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB45) <=> (~(v90(constB45, bitIndex2) | v90(constB45, bitIndex0) | (~v90(constB45, bitIndex1))))))),
% 7.19/5.15 inference(rewrite,[status(thm)],[])).
% 7.19/5.15 tff(6929,plain,
% 7.19/5.15 ((v121(constB45) <=> (~(v90(constB45, bitIndex0) | v90(constB45, bitIndex2) | (~v90(constB45, bitIndex1))))) <=> (v121(constB45) <=> (~(v90(constB45, bitIndex2) | v90(constB45, bitIndex0) | (~v90(constB45, bitIndex1)))))),
% 7.19/5.15 inference(rewrite,[status(thm)],[])).
% 7.19/5.15 tff(6930,plain,
% 7.19/5.15 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB45) <=> (~(v90(constB45, bitIndex0) | v90(constB45, bitIndex2) | (~v90(constB45, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB45) <=> (~(v90(constB45, bitIndex2) | v90(constB45, bitIndex0) | (~v90(constB45, bitIndex1))))))),
% 7.19/5.15 inference(monotonicity,[status(thm)],[6929])).
% 7.19/5.15 tff(6931,plain,
% 7.19/5.15 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB45) <=> (~(v90(constB45, bitIndex0) | v90(constB45, bitIndex2) | (~v90(constB45, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB45) <=> (~(v90(constB45, bitIndex2) | v90(constB45, bitIndex0) | (~v90(constB45, bitIndex1))))))),
% 7.19/5.15 inference(transitivity,[status(thm)],[6930, 6928])).
% 7.19/5.15 tff(6932,plain,
% 7.19/5.15 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB45) <=> (~(v90(constB45, bitIndex0) | v90(constB45, bitIndex2) | (~v90(constB45, bitIndex1)))))),
% 7.19/5.15 inference(quant_inst,[status(thm)],[])).
% 7.19/5.15 tff(6933,plain,
% 7.19/5.15 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB45) <=> (~(v90(constB45, bitIndex2) | v90(constB45, bitIndex0) | (~v90(constB45, bitIndex1)))))),
% 7.19/5.15 inference(modus_ponens,[status(thm)],[6932, 6931])).
% 7.19/5.15 tff(6934,plain,
% 7.19/5.15 (v121(constB45) <=> (~(v90(constB45, bitIndex2) | v90(constB45, bitIndex0) | (~v90(constB45, bitIndex1))))),
% 7.19/5.15 inference(unit_resolution,[status(thm)],[6933, 586])).
% 7.19/5.15 tff(6935,plain,
% 7.19/5.15 ((v90(constB45, bitIndex2) | v90(constB45, bitIndex0) | (~v90(constB45, bitIndex1))) | (~v90(constB45, bitIndex2))),
% 7.19/5.15 inference(tautology,[status(thm)],[])).
% 7.19/5.15 tff(6936,plain,
% 7.19/5.15 (v90(constB45, bitIndex2) | v90(constB45, bitIndex0) | (~v90(constB45, bitIndex1))),
% 7.19/5.15 inference(unit_resolution,[status(thm)],[6935, 6872])).
% 7.19/5.15 tff(6937,plain,
% 7.19/5.15 ((~(v121(constB45) <=> (~(v90(constB45, bitIndex2) | v90(constB45, bitIndex0) | (~v90(constB45, bitIndex1)))))) | (~v121(constB45)) | (~(v90(constB45, bitIndex2) | v90(constB45, bitIndex0) | (~v90(constB45, bitIndex1))))),
% 7.19/5.15 inference(tautology,[status(thm)],[])).
% 7.19/5.15 tff(6938,plain,
% 7.19/5.15 (~v121(constB45)),
% 7.19/5.15 inference(unit_resolution,[status(thm)],[6937, 6936, 6934])).
% 7.19/5.15 tff(6939,plain,
% 7.19/5.15 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB45) <=> (~(v90(constB45, bitIndex1) | v90(constB45, bitIndex2) | (~v90(constB45, bitIndex0)))))),
% 7.19/5.15 inference(quant_inst,[status(thm)],[])).
% 7.19/5.15 tff(6940,plain,
% 7.19/5.15 (v120(constB45) <=> (~(v90(constB45, bitIndex1) | v90(constB45, bitIndex2) | (~v90(constB45, bitIndex0))))),
% 7.19/5.15 inference(unit_resolution,[status(thm)],[6939, 665])).
% 7.19/5.15 tff(6941,plain,
% 7.19/5.15 ((v90(constB45, bitIndex1) | v90(constB45, bitIndex2) | (~v90(constB45, bitIndex0))) | (~v90(constB45, bitIndex2))),
% 7.19/5.15 inference(tautology,[status(thm)],[])).
% 7.19/5.15 tff(6942,plain,
% 7.19/5.15 (v90(constB45, bitIndex1) | v90(constB45, bitIndex2) | (~v90(constB45, bitIndex0))),
% 7.19/5.15 inference(unit_resolution,[status(thm)],[6941, 6872])).
% 7.19/5.15 tff(6943,plain,
% 7.19/5.15 ((~(v120(constB45) <=> (~(v90(constB45, bitIndex1) | v90(constB45, bitIndex2) | (~v90(constB45, bitIndex0)))))) | (~v120(constB45)) | (~(v90(constB45, bitIndex1) | v90(constB45, bitIndex2) | (~v90(constB45, bitIndex0))))),
% 7.19/5.15 inference(tautology,[status(thm)],[])).
% 7.19/5.15 tff(6944,plain,
% 7.19/5.15 (~v120(constB45)),
% 7.19/5.15 inference(unit_resolution,[status(thm)],[6943, 6942, 6940])).
% 7.19/5.15 tff(6945,plain,
% 7.19/5.15 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v119(constB45) | v120(constB45) | v121(constB45) | v122(constB45) | v123(constB45) | v124(constB45) | (~(v130(constB45, bitIndex2) | v130(constB45, bitIndex1) | (~v130(constB45, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | v119(constB45) | v120(constB45) | v121(constB45) | v122(constB45) | v123(constB45) | v124(constB45) | (~(v130(constB45, bitIndex2) | v130(constB45, bitIndex1) | (~v130(constB45, bitIndex0)))))),
% 7.19/5.16 inference(rewrite,[status(thm)],[])).
% 7.19/5.16 tff(6946,plain,
% 7.19/5.16 ((v124(constB45) | v123(constB45) | v122(constB45) | v121(constB45) | v120(constB45) | v119(constB45) | (~(v130(constB45, bitIndex2) | v130(constB45, bitIndex1) | (~v130(constB45, bitIndex0))))) <=> (v119(constB45) | v120(constB45) | v121(constB45) | v122(constB45) | v123(constB45) | v124(constB45) | (~(v130(constB45, bitIndex2) | v130(constB45, bitIndex1) | (~v130(constB45, bitIndex0)))))),
% 7.19/5.16 inference(rewrite,[status(thm)],[])).
% 7.19/5.16 tff(6947,plain,
% 7.19/5.16 ((~(v130(constB45, bitIndex1) | v130(constB45, bitIndex2) | (~v130(constB45, bitIndex0)))) <=> (~(v130(constB45, bitIndex2) | v130(constB45, bitIndex1) | (~v130(constB45, bitIndex0))))),
% 7.19/5.16 inference(rewrite,[status(thm)],[])).
% 7.19/5.16 tff(6948,plain,
% 7.19/5.16 ((v124(constB45) | v123(constB45) | v122(constB45) | v121(constB45) | v120(constB45) | v119(constB45) | (~(v130(constB45, bitIndex1) | v130(constB45, bitIndex2) | (~v130(constB45, bitIndex0))))) <=> (v124(constB45) | v123(constB45) | v122(constB45) | v121(constB45) | v120(constB45) | v119(constB45) | (~(v130(constB45, bitIndex2) | v130(constB45, bitIndex1) | (~v130(constB45, bitIndex0)))))),
% 7.19/5.16 inference(monotonicity,[status(thm)],[6947])).
% 7.19/5.16 tff(6949,plain,
% 7.19/5.16 ((v124(constB45) | v123(constB45) | v122(constB45) | v121(constB45) | v120(constB45) | v119(constB45) | (~(v130(constB45, bitIndex1) | v130(constB45, bitIndex2) | (~v130(constB45, bitIndex0))))) <=> (v119(constB45) | v120(constB45) | v121(constB45) | v122(constB45) | v123(constB45) | v124(constB45) | (~(v130(constB45, bitIndex2) | v130(constB45, bitIndex1) | (~v130(constB45, bitIndex0)))))),
% 7.19/5.16 inference(transitivity,[status(thm)],[6948, 6946])).
% 7.19/5.16 tff(6950,plain,
% 7.19/5.16 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB45) | v123(constB45) | v122(constB45) | v121(constB45) | v120(constB45) | v119(constB45) | (~(v130(constB45, bitIndex1) | v130(constB45, bitIndex2) | (~v130(constB45, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v119(constB45) | v120(constB45) | v121(constB45) | v122(constB45) | v123(constB45) | v124(constB45) | (~(v130(constB45, bitIndex2) | v130(constB45, bitIndex1) | (~v130(constB45, bitIndex0))))))),
% 7.19/5.16 inference(monotonicity,[status(thm)],[6949])).
% 7.19/5.16 tff(6951,plain,
% 7.19/5.16 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB45) | v123(constB45) | v122(constB45) | v121(constB45) | v120(constB45) | v119(constB45) | (~(v130(constB45, bitIndex1) | v130(constB45, bitIndex2) | (~v130(constB45, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | v119(constB45) | v120(constB45) | v121(constB45) | v122(constB45) | v123(constB45) | v124(constB45) | (~(v130(constB45, bitIndex2) | v130(constB45, bitIndex1) | (~v130(constB45, bitIndex0)))))),
% 7.19/5.16 inference(transitivity,[status(thm)],[6950, 6945])).
% 7.19/5.16 tff(6952,plain,
% 7.19/5.16 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB45) | v123(constB45) | v122(constB45) | v121(constB45) | v120(constB45) | v119(constB45) | (~(v130(constB45, bitIndex1) | v130(constB45, bitIndex2) | (~v130(constB45, bitIndex0)))))),
% 7.19/5.16 inference(quant_inst,[status(thm)],[])).
% 7.19/5.16 tff(6953,plain,
% 7.19/5.16 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | v119(constB45) | v120(constB45) | v121(constB45) | v122(constB45) | v123(constB45) | v124(constB45) | (~(v130(constB45, bitIndex2) | v130(constB45, bitIndex1) | (~v130(constB45, bitIndex0))))),
% 7.19/5.16 inference(modus_ponens,[status(thm)],[6952, 6951])).
% 7.19/5.16 tff(6954,plain,
% 7.19/5.16 (v119(constB45) | v120(constB45) | v121(constB45) | v122(constB45) | v123(constB45) | v124(constB45) | (~(v130(constB45, bitIndex2) | v130(constB45, bitIndex1) | (~v130(constB45, bitIndex0))))),
% 7.19/5.16 inference(unit_resolution,[status(thm)],[6953, 3694])).
% 7.19/5.16 tff(6955,plain,
% 7.19/5.16 (~(v130(constB45, bitIndex2) | v130(constB45, bitIndex1) | (~v130(constB45, bitIndex0)))),
% 7.19/5.16 inference(unit_resolution,[status(thm)],[6954, 6944, 6938, 6927, 6916, 6905, 6876])).
% 7.19/5.16 tff(6956,plain,
% 7.19/5.16 ((v130(constB45, bitIndex2) | v130(constB45, bitIndex1) | (~v130(constB45, bitIndex0))) | (~v130(constB45, bitIndex2))),
% 7.19/5.16 inference(tautology,[status(thm)],[])).
% 7.19/5.16 tff(6957,plain,
% 7.19/5.16 (~v130(constB45, bitIndex2)),
% 7.19/5.16 inference(unit_resolution,[status(thm)],[6956, 6955])).
% 7.19/5.16 tff(6958,plain,
% 7.19/5.16 (((~v127(constB45, bitIndex2)) <=> v130(constB45, bitIndex2)) | (~v127(constB45, bitIndex2)) | v130(constB45, bitIndex2)),
% 7.19/5.16 inference(tautology,[status(thm)],[])).
% 7.19/5.16 tff(6959,plain,
% 7.19/5.16 (~v127(constB45, bitIndex2)),
% 7.19/5.16 inference(unit_resolution,[status(thm)],[6958, 6957, 1725])).
% 7.19/5.16 tff(6960,plain,
% 7.19/5.16 (((~v129(constB46, bitIndex2)) <=> v127(constB45, bitIndex2)) | (~v129(constB46, bitIndex2)) | v127(constB45, bitIndex2)),
% 7.19/5.16 inference(tautology,[status(thm)],[])).
% 7.19/5.16 tff(6961,plain,
% 7.19/5.16 (~v129(constB46, bitIndex2)),
% 7.19/5.16 inference(unit_resolution,[status(thm)],[6960, 6959, 1711])).
% 7.19/5.16 tff(6962,plain,
% 7.19/5.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB45, constB46)) | (v100(constB46) <=> (~((~v101(constB46)) | (~v110(constB46))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB45, constB46)) | (v100(constB46) <=> (~((~v101(constB46)) | (~v110(constB46))))))),
% 7.19/5.16 inference(rewrite,[status(thm)],[])).
% 7.19/5.16 tff(6963,plain,
% 7.19/5.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB45, constB46)) | (v100(constB46) <=> (~((~v101(constB46)) | (~v110(constB46))))))),
% 7.19/5.16 inference(quant_inst,[status(thm)],[])).
% 7.19/5.16 tff(6964,plain,
% 7.19/5.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB45, constB46)) | (v100(constB46) <=> (~((~v101(constB46)) | (~v110(constB46)))))),
% 7.19/5.16 inference(modus_ponens,[status(thm)],[6963, 6962])).
% 7.19/5.16 tff(6965,plain,
% 7.19/5.16 (v100(constB46) <=> (~((~v101(constB46)) | (~v110(constB46))))),
% 7.19/5.16 inference(unit_resolution,[status(thm)],[6964, 1705, 445])).
% 7.19/5.16 tff(6966,plain,
% 7.19/5.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB45, constB46)) | (v101(constB46) <=> (~((~v1(constB46)) | (~v102(constB46))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB45, constB46)) | (v101(constB46) <=> (~((~v1(constB46)) | (~v102(constB46))))))),
% 7.19/5.16 inference(rewrite,[status(thm)],[])).
% 7.19/5.16 tff(6967,plain,
% 7.19/5.16 (((~nextState(constB45, constB46)) | (v101(constB46) <=> (~((~v102(constB46)) | (~v1(constB46)))))) <=> ((~nextState(constB45, constB46)) | (v101(constB46) <=> (~((~v1(constB46)) | (~v102(constB46))))))),
% 7.19/5.16 inference(rewrite,[status(thm)],[])).
% 7.19/5.16 tff(6968,plain,
% 7.19/5.16 (((~![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) <=> (~((~v1(constB46)) | (~v102(constB46)))))))),
% 7.19/5.16 inference(monotonicity,[status(thm)],[6967])).
% 7.19/5.16 tff(6969,plain,
% 7.19/5.16 (((~![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) <=> (~((~v1(constB46)) | (~v102(constB46))))))),
% 7.19/5.16 inference(transitivity,[status(thm)],[6968, 6966])).
% 7.19/5.16 tff(6970,plain,
% 7.19/5.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB45, constB46)) | (v101(constB46) <=> (~((~v102(constB46)) | (~v1(constB46))))))),
% 7.19/5.16 inference(quant_inst,[status(thm)],[])).
% 7.19/5.16 tff(6971,plain,
% 7.19/5.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB45, constB46)) | (v101(constB46) <=> (~((~v1(constB46)) | (~v102(constB46)))))),
% 7.19/5.16 inference(modus_ponens,[status(thm)],[6970, 6969])).
% 7.19/5.16 tff(6972,plain,
% 7.19/5.16 (v101(constB46) <=> (~((~v1(constB46)) | (~v102(constB46))))),
% 7.19/5.16 inference(unit_resolution,[status(thm)],[6971, 1705, 465])).
% 7.19/5.16 tff(6973,plain,
% 7.19/5.16 (((~![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)))),
% 7.19/5.16 inference(rewrite,[status(thm)],[])).
% 7.19/5.16 tff(6974,plain,
% 7.19/5.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB45, constB46)) | ((~v102(constB46)) <=> v104(constB46)))),
% 7.19/5.16 inference(quant_inst,[status(thm)],[])).
% 7.19/5.16 tff(6975,plain,
% 7.19/5.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB45, constB46)) | ((~v102(constB46)) <=> v104(constB46))),
% 7.19/5.16 inference(modus_ponens,[status(thm)],[6974, 6973])).
% 7.19/5.16 tff(6976,plain,
% 7.19/5.16 ((~v102(constB46)) <=> v104(constB46)),
% 7.19/5.16 inference(unit_resolution,[status(thm)],[6975, 1705, 3244])).
% 7.19/5.16 tff(6977,plain,
% 7.19/5.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB45, constB46)) | (v104(constB46) <=> v1(constB45)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB45, constB46)) | (v104(constB46) <=> v1(constB45)))),
% 7.19/5.16 inference(rewrite,[status(thm)],[])).
% 7.19/5.16 tff(6978,plain,
% 7.19/5.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB45, constB46)) | (v104(constB46) <=> v1(constB45)))),
% 7.19/5.16 inference(quant_inst,[status(thm)],[])).
% 7.19/5.16 tff(6979,plain,
% 7.19/5.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB45, constB46)) | (v104(constB46) <=> v1(constB45))),
% 7.19/5.16 inference(modus_ponens,[status(thm)],[6978, 6977])).
% 7.19/5.16 tff(6980,plain,
% 7.19/5.16 (v104(constB46) <=> v1(constB45)),
% 7.19/5.16 inference(unit_resolution,[status(thm)],[6979, 1705, 3258])).
% 7.19/5.16 tff(6981,plain,
% 7.19/5.16 ((~(v104(constB46) <=> v1(constB45))) | (~v104(constB46)) | v1(constB45)),
% 7.19/5.16 inference(tautology,[status(thm)],[])).
% 7.19/5.16 tff(6982,plain,
% 7.19/5.16 ((~(v104(constB46) <=> v1(constB45))) | (~v104(constB46))),
% 7.19/5.16 inference(unit_resolution,[status(thm)],[6981, 1744])).
% 7.19/5.16 tff(6983,plain,
% 7.19/5.16 (~v104(constB46)),
% 7.19/5.16 inference(unit_resolution,[status(thm)],[6982, 6980])).
% 7.19/5.16 tff(6984,plain,
% 7.19/5.16 ((~((~v102(constB46)) <=> v104(constB46))) | v102(constB46) | v104(constB46)),
% 7.19/5.16 inference(tautology,[status(thm)],[])).
% 7.19/5.16 tff(6985,plain,
% 7.19/5.16 (v102(constB46)),
% 7.19/5.16 inference(unit_resolution,[status(thm)],[6984, 6983, 6976])).
% 7.19/5.16 tff(6986,plain,
% 7.19/5.16 (v1(constB46) <=> v1(constB46)),
% 7.19/5.16 inference(rewrite,[status(thm)],[])).
% 7.19/5.16 tff(6987,axiom,(v1(constB46)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_46')).
% 7.19/5.16 tff(6988,plain,
% 7.19/5.16 (v1(constB46)),
% 7.19/5.16 inference(modus_ponens,[status(thm)],[6987, 6986])).
% 7.19/5.16 tff(6989,plain,
% 7.19/5.16 ((~((~v1(constB46)) | (~v102(constB46)))) | (~v1(constB46)) | (~v102(constB46))),
% 7.19/5.16 inference(tautology,[status(thm)],[])).
% 7.19/5.16 tff(6990,plain,
% 7.19/5.16 ((~((~v1(constB46)) | (~v102(constB46)))) | (~v102(constB46))),
% 7.19/5.16 inference(unit_resolution,[status(thm)],[6989, 6988])).
% 7.19/5.16 tff(6991,plain,
% 7.19/5.16 (~((~v1(constB46)) | (~v102(constB46)))),
% 7.19/5.16 inference(unit_resolution,[status(thm)],[6990, 6985])).
% 7.19/5.16 tff(6992,plain,
% 7.19/5.16 ((~(v101(constB46) <=> (~((~v1(constB46)) | (~v102(constB46)))))) | v101(constB46) | ((~v1(constB46)) | (~v102(constB46)))),
% 7.19/5.16 inference(tautology,[status(thm)],[])).
% 7.19/5.16 tff(6993,plain,
% 7.19/5.16 (v101(constB46)),
% 7.19/5.16 inference(unit_resolution,[status(thm)],[6992, 6991, 6972])).
% 7.19/5.16 tff(6994,plain,
% 7.19/5.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB45, constB46)) | (v110(constB46) <=> v108(constB45)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB45, constB46)) | (v110(constB46) <=> v108(constB45)))),
% 7.19/5.16 inference(rewrite,[status(thm)],[])).
% 7.19/5.16 tff(6995,plain,
% 7.19/5.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB45, constB46)) | (v110(constB46) <=> v108(constB45)))),
% 7.19/5.16 inference(quant_inst,[status(thm)],[])).
% 7.19/5.16 tff(6996,plain,
% 7.19/5.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB45, constB46)) | (v110(constB46) <=> v108(constB45))),
% 7.19/5.16 inference(modus_ponens,[status(thm)],[6995, 6994])).
% 7.19/5.16 tff(6997,plain,
% 7.19/5.16 (v110(constB46) <=> v108(constB45)),
% 7.19/5.16 inference(unit_resolution,[status(thm)],[6996, 1705, 3285])).
% 7.19/5.16 tff(6998,plain,
% 7.19/5.16 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB45) <=> (v111(constB45) | v112(constB45)))),
% 7.19/5.16 inference(quant_inst,[status(thm)],[])).
% 7.19/5.16 tff(6999,plain,
% 7.19/5.16 (v108(constB45) <=> (v111(constB45) | v112(constB45))),
% 7.19/5.16 inference(unit_resolution,[status(thm)],[6998, 3296])).
% 7.19/5.16 tff(7000,plain,
% 7.19/5.16 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB45) <=> (~((~v113(constB45)) | (~v126(constB45)))))),
% 7.19/5.16 inference(quant_inst,[status(thm)],[])).
% 7.19/5.16 tff(7001,plain,
% 7.19/5.16 (v112(constB45) <=> (~((~v113(constB45)) | (~v126(constB45))))),
% 7.19/5.16 inference(unit_resolution,[status(thm)],[7000, 3308])).
% 7.19/5.16 tff(7002,plain,
% 7.19/5.16 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB45) <=> (v114(constB45) | v125(constB45)))),
% 7.19/5.16 inference(quant_inst,[status(thm)],[])).
% 7.19/5.16 tff(7003,plain,
% 7.19/5.16 (v113(constB45) <=> (v114(constB45) | v125(constB45))),
% 7.19/5.16 inference(unit_resolution,[status(thm)],[7002, 3317])).
% 7.19/5.16 tff(7004,plain,
% 7.19/5.16 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB45) <=> (~(v90(constB45, bitIndex0) | (~v90(constB45, bitIndex1)) | (~v90(constB45, bitIndex2)))))),
% 7.19/5.16 inference(quant_inst,[status(thm)],[])).
% 7.19/5.16 tff(7005,plain,
% 7.19/5.16 (v125(constB45) <=> (~(v90(constB45, bitIndex0) | (~v90(constB45, bitIndex1)) | (~v90(constB45, bitIndex2))))),
% 7.19/5.16 inference(unit_resolution,[status(thm)],[7004, 3766])).
% 7.19/5.16 tff(7006,plain,
% 7.19/5.16 ((((~v90(constB45, bitIndex1)) <=> v90(constB44, bitIndex1)) | ((~v90(constB45, bitIndex2)) <=> v90(constB44, bitIndex2)) | ((~v90(constB45, bitIndex0)) <=> v90(constB44, bitIndex0))) | (~((~v90(constB45, bitIndex0)) <=> v90(constB44, bitIndex0)))),
% 7.19/5.16 inference(tautology,[status(thm)],[])).
% 7.19/5.16 tff(7007,plain,
% 7.19/5.16 (~((~v90(constB45, bitIndex0)) <=> v90(constB44, bitIndex0))),
% 7.19/5.16 inference(unit_resolution,[status(thm)],[7006, 1761])).
% 7.19/5.16 tff(7008,plain,
% 7.19/5.16 ((((~v129(constB44, bitIndex2)) <=> v127(constB43, bitIndex2)) | ((~v129(constB44, bitIndex1)) <=> v127(constB43, bitIndex1)) | ((~v129(constB44, bitIndex0)) <=> v127(constB43, bitIndex0))) | (~((~v129(constB44, bitIndex0)) <=> v127(constB43, bitIndex0)))),
% 7.19/5.16 inference(tautology,[status(thm)],[])).
% 7.19/5.16 tff(7009,plain,
% 7.19/5.16 (~((~v129(constB44, bitIndex0)) <=> v127(constB43, bitIndex0))),
% 7.19/5.16 inference(unit_resolution,[status(thm)],[7008, 1770])).
% 7.19/5.16 tff(7010,plain,
% 7.19/5.16 ((((~v127(constB43, bitIndex2)) <=> v130(constB43, bitIndex2)) | ((~v127(constB43, bitIndex1)) <=> v130(constB43, bitIndex1)) | ((~v127(constB43, bitIndex0)) <=> v130(constB43, bitIndex0))) | (~((~v127(constB43, bitIndex0)) <=> v130(constB43, bitIndex0)))),
% 7.19/5.16 inference(tautology,[status(thm)],[])).
% 7.19/5.16 tff(7011,plain,
% 7.19/5.16 (~((~v127(constB43, bitIndex0)) <=> v130(constB43, bitIndex0))),
% 7.19/5.16 inference(unit_resolution,[status(thm)],[7010, 1784])).
% 7.19/5.16 tff(7012,plain,
% 7.19/5.16 ((v130(constB43, bitIndex0) | (~v130(constB43, bitIndex2)) | (~v130(constB43, bitIndex1))) | (~v130(constB43, bitIndex0))),
% 7.19/5.16 inference(tautology,[status(thm)],[])).
% 7.19/5.16 tff(7013,plain,
% 7.19/5.16 (~v130(constB43, bitIndex0)),
% 7.19/5.16 inference(unit_resolution,[status(thm)],[7012, 6777])).
% 7.19/5.16 tff(7014,plain,
% 7.19/5.16 (((~v127(constB43, bitIndex0)) <=> v130(constB43, bitIndex0)) | (~v127(constB43, bitIndex0)) | v130(constB43, bitIndex0)),
% 7.19/5.16 inference(tautology,[status(thm)],[])).
% 7.19/5.16 tff(7015,plain,
% 7.19/5.16 (~v127(constB43, bitIndex0)),
% 7.19/5.16 inference(unit_resolution,[status(thm)],[7014, 7013, 7011])).
% 7.19/5.16 tff(7016,plain,
% 7.19/5.16 (((~v129(constB44, bitIndex0)) <=> v127(constB43, bitIndex0)) | (~v129(constB44, bitIndex0)) | v127(constB43, bitIndex0)),
% 7.19/5.16 inference(tautology,[status(thm)],[])).
% 7.19/5.16 tff(7017,plain,
% 7.19/5.16 (~v129(constB44, bitIndex0)),
% 7.19/5.16 inference(unit_resolution,[status(thm)],[7016, 7015, 7009])).
% 7.19/5.16 tff(7018,plain,
% 7.19/5.16 ((((~v90(constB44, bitIndex2)) <=> v129(constB44, bitIndex2)) | ((~v90(constB44, bitIndex1)) <=> v129(constB44, bitIndex1)) | ((~v90(constB44, bitIndex0)) <=> v129(constB44, bitIndex0))) | (~((~v90(constB44, bitIndex0)) <=> v129(constB44, bitIndex0)))),
% 7.19/5.16 inference(tautology,[status(thm)],[])).
% 7.19/5.16 tff(7019,plain,
% 7.19/5.16 (~((~v90(constB44, bitIndex0)) <=> v129(constB44, bitIndex0))),
% 7.19/5.16 inference(unit_resolution,[status(thm)],[7018, 6866])).
% 7.19/5.16 tff(7020,plain,
% 7.19/5.16 (((~v90(constB44, bitIndex0)) <=> v129(constB44, bitIndex0)) | (~v90(constB44, bitIndex0)) | v129(constB44, bitIndex0)),
% 7.19/5.16 inference(tautology,[status(thm)],[])).
% 7.19/5.16 tff(7021,plain,
% 7.19/5.16 (~v90(constB44, bitIndex0)),
% 7.19/5.16 inference(unit_resolution,[status(thm)],[7020, 7019, 7017])).
% 7.19/5.16 tff(7022,plain,
% 7.19/5.16 (((~v90(constB45, bitIndex0)) <=> v90(constB44, bitIndex0)) | (~v90(constB45, bitIndex0)) | v90(constB44, bitIndex0)),
% 7.19/5.16 inference(tautology,[status(thm)],[])).
% 7.19/5.16 tff(7023,plain,
% 7.19/5.16 (~v90(constB45, bitIndex0)),
% 7.19/5.16 inference(unit_resolution,[status(thm)],[7022, 7021, 7007])).
% 7.19/5.16 tff(7024,plain,
% 7.19/5.16 ((~(v90(constB45, bitIndex0) | (~v90(constB45, bitIndex1)) | (~v90(constB45, bitIndex2)))) | v90(constB45, bitIndex0) | (~v90(constB45, bitIndex1)) | (~v90(constB45, bitIndex2))),
% 7.19/5.16 inference(tautology,[status(thm)],[])).
% 7.19/5.16 tff(7025,plain,
% 7.19/5.16 (~(v90(constB45, bitIndex0) | (~v90(constB45, bitIndex1)) | (~v90(constB45, bitIndex2)))),
% 7.19/5.16 inference(unit_resolution,[status(thm)],[7024, 6901, 7023, 6872])).
% 7.19/5.16 tff(7026,plain,
% 7.19/5.16 ((~(v125(constB45) <=> (~(v90(constB45, bitIndex0) | (~v90(constB45, bitIndex1)) | (~v90(constB45, bitIndex2)))))) | v125(constB45) | (v90(constB45, bitIndex0) | (~v90(constB45, bitIndex1)) | (~v90(constB45, bitIndex2)))),
% 7.19/5.16 inference(tautology,[status(thm)],[])).
% 7.19/5.16 tff(7027,plain,
% 7.19/5.16 (v125(constB45)),
% 7.19/5.16 inference(unit_resolution,[status(thm)],[7026, 7025, 7005])).
% 7.19/5.16 tff(7028,plain,
% 7.19/5.16 ((v114(constB45) | v125(constB45)) | (~v125(constB45))),
% 7.19/5.16 inference(tautology,[status(thm)],[])).
% 7.19/5.16 tff(7029,plain,
% 7.19/5.16 (v114(constB45) | v125(constB45)),
% 7.19/5.16 inference(unit_resolution,[status(thm)],[7028, 7027])).
% 7.19/5.16 tff(7030,plain,
% 7.19/5.16 ((~(v113(constB45) <=> (v114(constB45) | v125(constB45)))) | v113(constB45) | (~(v114(constB45) | v125(constB45)))),
% 7.19/5.16 inference(tautology,[status(thm)],[])).
% 7.19/5.16 tff(7031,plain,
% 7.19/5.16 (v113(constB45)),
% 7.19/5.16 inference(unit_resolution,[status(thm)],[7030, 7029, 7003])).
% 7.19/5.16 tff(7032,plain,
% 7.19/5.16 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB45)) <=> v111(constB45))),
% 7.19/5.16 inference(quant_inst,[status(thm)],[])).
% 7.19/5.16 tff(7033,plain,
% 7.19/5.16 ((~v126(constB45)) <=> v111(constB45)),
% 7.19/5.16 inference(unit_resolution,[status(thm)],[7032, 3396])).
% 7.19/5.16 tff(7034,plain,
% 7.19/5.16 ((~((~v126(constB45)) <=> v111(constB45))) | v126(constB45) | v111(constB45)),
% 7.19/5.16 inference(tautology,[status(thm)],[])).
% 7.19/5.16 tff(7035,plain,
% 7.19/5.16 ((~((~v126(constB45)) <=> v111(constB45))) | v126(constB45)),
% 7.19/5.16 inference(unit_resolution,[status(thm)],[7034, 1718])).
% 7.19/5.16 tff(7036,plain,
% 7.19/5.16 (v126(constB45)),
% 7.19/5.16 inference(unit_resolution,[status(thm)],[7035, 7033])).
% 7.19/5.16 tff(7037,plain,
% 7.19/5.16 ((~((~v113(constB45)) | (~v126(constB45)))) | (~v113(constB45)) | (~v126(constB45))),
% 7.19/5.16 inference(tautology,[status(thm)],[])).
% 7.19/5.16 tff(7038,plain,
% 7.19/5.16 ((~((~v113(constB45)) | (~v126(constB45)))) | (~v113(constB45))),
% 7.19/5.16 inference(unit_resolution,[status(thm)],[7037, 7036])).
% 7.19/5.16 tff(7039,plain,
% 7.19/5.16 (~((~v113(constB45)) | (~v126(constB45)))),
% 7.19/5.16 inference(unit_resolution,[status(thm)],[7038, 7031])).
% 7.19/5.16 tff(7040,plain,
% 7.19/5.16 ((~(v112(constB45) <=> (~((~v113(constB45)) | (~v126(constB45)))))) | v112(constB45) | ((~v113(constB45)) | (~v126(constB45)))),
% 7.19/5.16 inference(tautology,[status(thm)],[])).
% 7.19/5.16 tff(7041,plain,
% 7.19/5.16 (v112(constB45)),
% 7.19/5.16 inference(unit_resolution,[status(thm)],[7040, 7039, 7001])).
% 7.19/5.16 tff(7042,plain,
% 7.19/5.16 ((v111(constB45) | v112(constB45)) | (~v112(constB45))),
% 7.19/5.16 inference(tautology,[status(thm)],[])).
% 7.19/5.16 tff(7043,plain,
% 7.19/5.16 (v111(constB45) | v112(constB45)),
% 7.19/5.16 inference(unit_resolution,[status(thm)],[7042, 7041])).
% 7.19/5.16 tff(7044,plain,
% 7.19/5.16 ((~(v108(constB45) <=> (v111(constB45) | v112(constB45)))) | v108(constB45) | (~(v111(constB45) | v112(constB45)))),
% 7.19/5.16 inference(tautology,[status(thm)],[])).
% 7.19/5.16 tff(7045,plain,
% 7.19/5.16 (v108(constB45)),
% 7.19/5.16 inference(unit_resolution,[status(thm)],[7044, 7043, 6999])).
% 7.19/5.16 tff(7046,plain,
% 7.19/5.16 ((~(v110(constB46) <=> v108(constB45))) | v110(constB46) | (~v108(constB45))),
% 7.19/5.16 inference(tautology,[status(thm)],[])).
% 7.19/5.16 tff(7047,plain,
% 7.19/5.16 (v110(constB46)),
% 7.19/5.16 inference(unit_resolution,[status(thm)],[7046, 7045, 6997])).
% 7.19/5.16 tff(7048,plain,
% 7.19/5.16 ((~((~v101(constB46)) | (~v110(constB46)))) | (~v101(constB46)) | (~v110(constB46))),
% 7.19/5.16 inference(tautology,[status(thm)],[])).
% 7.19/5.16 tff(7049,plain,
% 7.19/5.16 (~((~v101(constB46)) | (~v110(constB46)))),
% 7.19/5.16 inference(unit_resolution,[status(thm)],[7048, 7047, 6993])).
% 7.19/5.16 tff(7050,plain,
% 7.19/5.16 ((~(v100(constB46) <=> (~((~v101(constB46)) | (~v110(constB46)))))) | v100(constB46) | ((~v101(constB46)) | (~v110(constB46)))),
% 7.19/5.16 inference(tautology,[status(thm)],[])).
% 7.19/5.16 tff(7051,plain,
% 7.19/5.16 (v100(constB46)),
% 7.19/5.16 inference(unit_resolution,[status(thm)],[7050, 7049, 6965])).
% 7.19/5.16 tff(7052,plain,
% 7.19/5.16 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB46)) | (~(((~v90(constB46, bitIndex0)) <=> v129(constB46, bitIndex0)) | ((~v90(constB46, bitIndex2)) <=> v129(constB46, bitIndex2)) | ((~v90(constB46, bitIndex1)) <=> v129(constB46, bitIndex1)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB46)) | (~(((~v90(constB46, bitIndex0)) <=> v129(constB46, bitIndex0)) | ((~v90(constB46, bitIndex2)) <=> v129(constB46, bitIndex2)) | ((~v90(constB46, bitIndex1)) <=> v129(constB46, bitIndex1)))))),
% 7.19/5.16 inference(rewrite,[status(thm)],[])).
% 7.19/5.16 tff(7053,plain,
% 7.19/5.16 (((~v100(constB46)) | (~(((~v90(constB46, bitIndex2)) <=> v129(constB46, bitIndex2)) | ((~v90(constB46, bitIndex1)) <=> v129(constB46, bitIndex1)) | ((~v90(constB46, bitIndex0)) <=> v129(constB46, bitIndex0))))) <=> ((~v100(constB46)) | (~(((~v90(constB46, bitIndex0)) <=> v129(constB46, bitIndex0)) | ((~v90(constB46, bitIndex2)) <=> v129(constB46, bitIndex2)) | ((~v90(constB46, bitIndex1)) <=> v129(constB46, bitIndex1)))))),
% 7.19/5.16 inference(rewrite,[status(thm)],[])).
% 7.19/5.16 tff(7054,plain,
% 7.19/5.16 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB46)) | (~(((~v90(constB46, bitIndex2)) <=> v129(constB46, bitIndex2)) | ((~v90(constB46, bitIndex1)) <=> v129(constB46, bitIndex1)) | ((~v90(constB46, bitIndex0)) <=> v129(constB46, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB46)) | (~(((~v90(constB46, bitIndex0)) <=> v129(constB46, bitIndex0)) | ((~v90(constB46, bitIndex2)) <=> v129(constB46, bitIndex2)) | ((~v90(constB46, bitIndex1)) <=> v129(constB46, bitIndex1))))))),
% 7.19/5.16 inference(monotonicity,[status(thm)],[7053])).
% 7.19/5.16 tff(7055,plain,
% 7.19/5.16 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB46)) | (~(((~v90(constB46, bitIndex2)) <=> v129(constB46, bitIndex2)) | ((~v90(constB46, bitIndex1)) <=> v129(constB46, bitIndex1)) | ((~v90(constB46, bitIndex0)) <=> v129(constB46, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB46)) | (~(((~v90(constB46, bitIndex0)) <=> v129(constB46, bitIndex0)) | ((~v90(constB46, bitIndex2)) <=> v129(constB46, bitIndex2)) | ((~v90(constB46, bitIndex1)) <=> v129(constB46, bitIndex1)))))),
% 7.19/5.16 inference(transitivity,[status(thm)],[7054, 7052])).
% 7.19/5.16 tff(7056,plain,
% 7.19/5.16 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB46)) | (~(((~v90(constB46, bitIndex2)) <=> v129(constB46, bitIndex2)) | ((~v90(constB46, bitIndex1)) <=> v129(constB46, bitIndex1)) | ((~v90(constB46, bitIndex0)) <=> v129(constB46, bitIndex0)))))),
% 7.19/5.16 inference(quant_inst,[status(thm)],[])).
% 7.19/5.16 tff(7057,plain,
% 7.19/5.16 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB46)) | (~(((~v90(constB46, bitIndex0)) <=> v129(constB46, bitIndex0)) | ((~v90(constB46, bitIndex2)) <=> v129(constB46, bitIndex2)) | ((~v90(constB46, bitIndex1)) <=> v129(constB46, bitIndex1))))),
% 7.19/5.16 inference(modus_ponens,[status(thm)],[7056, 7055])).
% 7.19/5.16 tff(7058,plain,
% 7.19/5.16 ((~v100(constB46)) | (~(((~v90(constB46, bitIndex0)) <=> v129(constB46, bitIndex0)) | ((~v90(constB46, bitIndex2)) <=> v129(constB46, bitIndex2)) | ((~v90(constB46, bitIndex1)) <=> v129(constB46, bitIndex1))))),
% 7.19/5.16 inference(unit_resolution,[status(thm)],[7057, 3429])).
% 7.19/5.16 tff(7059,plain,
% 7.19/5.16 (~(((~v90(constB46, bitIndex0)) <=> v129(constB46, bitIndex0)) | ((~v90(constB46, bitIndex2)) <=> v129(constB46, bitIndex2)) | ((~v90(constB46, bitIndex1)) <=> v129(constB46, bitIndex1)))),
% 7.19/5.16 inference(unit_resolution,[status(thm)],[7058, 7051])).
% 7.19/5.16 tff(7060,plain,
% 7.19/5.16 ((((~v90(constB46, bitIndex0)) <=> v129(constB46, bitIndex0)) | ((~v90(constB46, bitIndex2)) <=> v129(constB46, bitIndex2)) | ((~v90(constB46, bitIndex1)) <=> v129(constB46, bitIndex1))) | (~((~v90(constB46, bitIndex2)) <=> v129(constB46, bitIndex2)))),
% 7.19/5.16 inference(tautology,[status(thm)],[])).
% 7.19/5.16 tff(7061,plain,
% 7.19/5.16 (~((~v90(constB46, bitIndex2)) <=> v129(constB46, bitIndex2))),
% 7.19/5.16 inference(unit_resolution,[status(thm)],[7060, 7059])).
% 7.19/5.16 tff(7062,plain,
% 7.19/5.16 (((~v90(constB46, bitIndex2)) <=> v129(constB46, bitIndex2)) | (~v90(constB46, bitIndex2)) | v129(constB46, bitIndex2)),
% 7.19/5.16 inference(tautology,[status(thm)],[])).
% 7.19/5.16 tff(7063,plain,
% 7.19/5.16 (~v90(constB46, bitIndex2)),
% 7.19/5.16 inference(unit_resolution,[status(thm)],[7062, 7061, 6961])).
% 7.19/5.16 tff(7064,plain,
% 7.19/5.16 (((~v90(constB47, bitIndex2)) <=> v90(constB46, bitIndex2)) | (~v90(constB47, bitIndex2)) | v90(constB46, bitIndex2)),
% 7.19/5.16 inference(tautology,[status(thm)],[])).
% 7.19/5.17 tff(7065,plain,
% 7.19/5.17 (~v90(constB47, bitIndex2)),
% 7.19/5.17 inference(unit_resolution,[status(thm)],[7064, 7063, 1702])).
% 7.19/5.17 tff(7066,plain,
% 7.19/5.17 ((((~v90(constB47, bitIndex1)) <=> v90(constB46, bitIndex1)) | ((~v90(constB47, bitIndex2)) <=> v90(constB46, bitIndex2)) | ((~v90(constB47, bitIndex0)) <=> v90(constB46, bitIndex0))) | (~((~v90(constB47, bitIndex0)) <=> v90(constB46, bitIndex0)))),
% 7.19/5.17 inference(tautology,[status(thm)],[])).
% 7.19/5.17 tff(7067,plain,
% 7.19/5.17 (~((~v90(constB47, bitIndex0)) <=> v90(constB46, bitIndex0))),
% 7.19/5.17 inference(unit_resolution,[status(thm)],[7066, 1700])).
% 7.19/5.17 tff(7068,plain,
% 7.19/5.17 ((((~v129(constB46, bitIndex2)) <=> v127(constB45, bitIndex2)) | ((~v129(constB46, bitIndex1)) <=> v127(constB45, bitIndex1)) | ((~v129(constB46, bitIndex0)) <=> v127(constB45, bitIndex0))) | (~((~v129(constB46, bitIndex0)) <=> v127(constB45, bitIndex0)))),
% 7.19/5.17 inference(tautology,[status(thm)],[])).
% 7.19/5.17 tff(7069,plain,
% 7.19/5.17 (~((~v129(constB46, bitIndex0)) <=> v127(constB45, bitIndex0))),
% 7.19/5.17 inference(unit_resolution,[status(thm)],[7068, 1709])).
% 7.19/5.17 tff(7070,plain,
% 7.19/5.17 ((((~v127(constB45, bitIndex2)) <=> v130(constB45, bitIndex2)) | ((~v127(constB45, bitIndex1)) <=> v130(constB45, bitIndex1)) | ((~v127(constB45, bitIndex0)) <=> v130(constB45, bitIndex0))) | (~((~v127(constB45, bitIndex0)) <=> v130(constB45, bitIndex0)))),
% 7.19/5.17 inference(tautology,[status(thm)],[])).
% 7.19/5.17 tff(7071,plain,
% 7.19/5.17 (~((~v127(constB45, bitIndex0)) <=> v130(constB45, bitIndex0))),
% 7.19/5.17 inference(unit_resolution,[status(thm)],[7070, 1723])).
% 7.19/5.17 tff(7072,plain,
% 7.19/5.17 ((v130(constB45, bitIndex2) | v130(constB45, bitIndex1) | (~v130(constB45, bitIndex0))) | v130(constB45, bitIndex0)),
% 7.19/5.17 inference(tautology,[status(thm)],[])).
% 7.19/5.17 tff(7073,plain,
% 7.19/5.17 (v130(constB45, bitIndex0)),
% 7.19/5.17 inference(unit_resolution,[status(thm)],[7072, 6955])).
% 7.19/5.17 tff(7074,plain,
% 7.19/5.17 (((~v127(constB45, bitIndex0)) <=> v130(constB45, bitIndex0)) | v127(constB45, bitIndex0) | (~v130(constB45, bitIndex0))),
% 7.19/5.17 inference(tautology,[status(thm)],[])).
% 7.19/5.17 tff(7075,plain,
% 7.19/5.17 (v127(constB45, bitIndex0)),
% 7.19/5.17 inference(unit_resolution,[status(thm)],[7074, 7073, 7071])).
% 7.19/5.17 tff(7076,plain,
% 7.19/5.17 (((~v129(constB46, bitIndex0)) <=> v127(constB45, bitIndex0)) | v129(constB46, bitIndex0) | (~v127(constB45, bitIndex0))),
% 7.19/5.17 inference(tautology,[status(thm)],[])).
% 7.19/5.17 tff(7077,plain,
% 7.19/5.17 (v129(constB46, bitIndex0)),
% 7.19/5.17 inference(unit_resolution,[status(thm)],[7076, 7075, 7069])).
% 7.19/5.17 tff(7078,plain,
% 7.19/5.17 ((((~v90(constB46, bitIndex0)) <=> v129(constB46, bitIndex0)) | ((~v90(constB46, bitIndex2)) <=> v129(constB46, bitIndex2)) | ((~v90(constB46, bitIndex1)) <=> v129(constB46, bitIndex1))) | (~((~v90(constB46, bitIndex0)) <=> v129(constB46, bitIndex0)))),
% 7.19/5.17 inference(tautology,[status(thm)],[])).
% 7.19/5.17 tff(7079,plain,
% 7.19/5.17 (~((~v90(constB46, bitIndex0)) <=> v129(constB46, bitIndex0))),
% 7.19/5.17 inference(unit_resolution,[status(thm)],[7078, 7059])).
% 7.19/5.17 tff(7080,plain,
% 7.19/5.17 (((~v90(constB46, bitIndex0)) <=> v129(constB46, bitIndex0)) | v90(constB46, bitIndex0) | (~v129(constB46, bitIndex0))),
% 7.19/5.17 inference(tautology,[status(thm)],[])).
% 7.19/5.17 tff(7081,plain,
% 7.19/5.17 (v90(constB46, bitIndex0)),
% 7.19/5.17 inference(unit_resolution,[status(thm)],[7080, 7079, 7077])).
% 7.19/5.17 tff(7082,plain,
% 7.19/5.17 (((~v90(constB47, bitIndex0)) <=> v90(constB46, bitIndex0)) | v90(constB47, bitIndex0) | (~v90(constB46, bitIndex0))),
% 7.19/5.17 inference(tautology,[status(thm)],[])).
% 7.19/5.17 tff(7083,plain,
% 7.19/5.17 (v90(constB47, bitIndex0)),
% 7.19/5.17 inference(unit_resolution,[status(thm)],[7082, 7081, 7067])).
% 7.19/5.17 tff(7084,plain,
% 7.19/5.17 ((((~v90(constB47, bitIndex1)) <=> v90(constB46, bitIndex1)) | ((~v90(constB47, bitIndex2)) <=> v90(constB46, bitIndex2)) | ((~v90(constB47, bitIndex0)) <=> v90(constB46, bitIndex0))) | (~((~v90(constB47, bitIndex1)) <=> v90(constB46, bitIndex1)))),
% 7.19/5.17 inference(tautology,[status(thm)],[])).
% 7.19/5.17 tff(7085,plain,
% 7.19/5.17 (~((~v90(constB47, bitIndex1)) <=> v90(constB46, bitIndex1))),
% 7.19/5.17 inference(unit_resolution,[status(thm)],[7084, 1700])).
% 7.19/5.17 tff(7086,plain,
% 7.19/5.17 ((((~v129(constB46, bitIndex2)) <=> v127(constB45, bitIndex2)) | ((~v129(constB46, bitIndex1)) <=> v127(constB45, bitIndex1)) | ((~v129(constB46, bitIndex0)) <=> v127(constB45, bitIndex0))) | (~((~v129(constB46, bitIndex1)) <=> v127(constB45, bitIndex1)))),
% 7.19/5.17 inference(tautology,[status(thm)],[])).
% 7.19/5.17 tff(7087,plain,
% 7.19/5.17 (~((~v129(constB46, bitIndex1)) <=> v127(constB45, bitIndex1))),
% 7.19/5.17 inference(unit_resolution,[status(thm)],[7086, 1709])).
% 7.19/5.17 tff(7088,plain,
% 7.19/5.17 ((((~v127(constB45, bitIndex2)) <=> v130(constB45, bitIndex2)) | ((~v127(constB45, bitIndex1)) <=> v130(constB45, bitIndex1)) | ((~v127(constB45, bitIndex0)) <=> v130(constB45, bitIndex0))) | (~((~v127(constB45, bitIndex1)) <=> v130(constB45, bitIndex1)))),
% 7.19/5.17 inference(tautology,[status(thm)],[])).
% 7.19/5.17 tff(7089,plain,
% 7.19/5.17 (~((~v127(constB45, bitIndex1)) <=> v130(constB45, bitIndex1))),
% 7.19/5.17 inference(unit_resolution,[status(thm)],[7088, 1723])).
% 7.19/5.17 tff(7090,plain,
% 7.19/5.17 ((v130(constB45, bitIndex2) | v130(constB45, bitIndex1) | (~v130(constB45, bitIndex0))) | (~v130(constB45, bitIndex1))),
% 7.19/5.17 inference(tautology,[status(thm)],[])).
% 7.19/5.17 tff(7091,plain,
% 7.19/5.17 (~v130(constB45, bitIndex1)),
% 7.19/5.17 inference(unit_resolution,[status(thm)],[7090, 6955])).
% 7.19/5.17 tff(7092,plain,
% 7.19/5.17 (((~v127(constB45, bitIndex1)) <=> v130(constB45, bitIndex1)) | (~v127(constB45, bitIndex1)) | v130(constB45, bitIndex1)),
% 7.19/5.17 inference(tautology,[status(thm)],[])).
% 7.19/5.17 tff(7093,plain,
% 7.19/5.17 (~v127(constB45, bitIndex1)),
% 7.19/5.17 inference(unit_resolution,[status(thm)],[7092, 7091, 7089])).
% 7.19/5.17 tff(7094,plain,
% 7.19/5.17 (((~v129(constB46, bitIndex1)) <=> v127(constB45, bitIndex1)) | (~v129(constB46, bitIndex1)) | v127(constB45, bitIndex1)),
% 7.19/5.17 inference(tautology,[status(thm)],[])).
% 7.19/5.17 tff(7095,plain,
% 7.19/5.17 (~v129(constB46, bitIndex1)),
% 7.19/5.17 inference(unit_resolution,[status(thm)],[7094, 7093, 7087])).
% 7.19/5.17 tff(7096,plain,
% 7.19/5.17 ((((~v90(constB46, bitIndex0)) <=> v129(constB46, bitIndex0)) | ((~v90(constB46, bitIndex2)) <=> v129(constB46, bitIndex2)) | ((~v90(constB46, bitIndex1)) <=> v129(constB46, bitIndex1))) | (~((~v90(constB46, bitIndex1)) <=> v129(constB46, bitIndex1)))),
% 7.19/5.17 inference(tautology,[status(thm)],[])).
% 7.19/5.17 tff(7097,plain,
% 7.19/5.17 (~((~v90(constB46, bitIndex1)) <=> v129(constB46, bitIndex1))),
% 7.19/5.17 inference(unit_resolution,[status(thm)],[7096, 7059])).
% 7.19/5.17 tff(7098,plain,
% 7.19/5.17 (((~v90(constB46, bitIndex1)) <=> v129(constB46, bitIndex1)) | (~v90(constB46, bitIndex1)) | v129(constB46, bitIndex1)),
% 7.19/5.17 inference(tautology,[status(thm)],[])).
% 7.19/5.17 tff(7099,plain,
% 7.19/5.17 (~v90(constB46, bitIndex1)),
% 7.19/5.17 inference(unit_resolution,[status(thm)],[7098, 7097, 7095])).
% 7.19/5.17 tff(7100,plain,
% 7.19/5.17 (((~v90(constB47, bitIndex1)) <=> v90(constB46, bitIndex1)) | (~v90(constB47, bitIndex1)) | v90(constB46, bitIndex1)),
% 7.19/5.17 inference(tautology,[status(thm)],[])).
% 7.19/5.17 tff(7101,plain,
% 7.19/5.17 (~v90(constB47, bitIndex1)),
% 7.19/5.17 inference(unit_resolution,[status(thm)],[7100, 7099, 7085])).
% 7.19/5.17 tff(7102,plain,
% 7.19/5.17 ((~(v90(constB47, bitIndex1) | v90(constB47, bitIndex2) | (~v90(constB47, bitIndex0)))) | v90(constB47, bitIndex1) | v90(constB47, bitIndex2) | (~v90(constB47, bitIndex0))),
% 7.19/5.17 inference(tautology,[status(thm)],[])).
% 7.19/5.17 tff(7103,plain,
% 7.19/5.17 (~(v90(constB47, bitIndex1) | v90(constB47, bitIndex2) | (~v90(constB47, bitIndex0)))),
% 7.19/5.17 inference(unit_resolution,[status(thm)],[7102, 7101, 7083, 7065])).
% 7.19/5.17 tff(7104,plain,
% 7.19/5.17 ((~(v120(constB47) <=> (~(v90(constB47, bitIndex1) | v90(constB47, bitIndex2) | (~v90(constB47, bitIndex0)))))) | v120(constB47) | (v90(constB47, bitIndex1) | v90(constB47, bitIndex2) | (~v90(constB47, bitIndex0)))),
% 7.19/5.17 inference(tautology,[status(thm)],[])).
% 7.19/5.17 tff(7105,plain,
% 7.19/5.17 (v120(constB47)),
% 7.19/5.17 inference(unit_resolution,[status(thm)],[7104, 7103, 1666])).
% 7.19/5.17 tff(7106,plain,
% 7.19/5.17 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB47)) | (~(v130(constB47, bitIndex2) | v130(constB47, bitIndex0) | (~v130(constB47, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB47)) | (~(v130(constB47, bitIndex2) | v130(constB47, bitIndex0) | (~v130(constB47, bitIndex1)))))),
% 7.19/5.17 inference(rewrite,[status(thm)],[])).
% 7.19/5.17 tff(7107,plain,
% 7.19/5.17 (((~v120(constB47)) | (~(v130(constB47, bitIndex0) | v130(constB47, bitIndex2) | (~v130(constB47, bitIndex1))))) <=> ((~v120(constB47)) | (~(v130(constB47, bitIndex2) | v130(constB47, bitIndex0) | (~v130(constB47, bitIndex1)))))),
% 7.19/5.17 inference(rewrite,[status(thm)],[])).
% 7.19/5.17 tff(7108,plain,
% 7.19/5.17 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB47)) | (~(v130(constB47, bitIndex0) | v130(constB47, bitIndex2) | (~v130(constB47, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB47)) | (~(v130(constB47, bitIndex2) | v130(constB47, bitIndex0) | (~v130(constB47, bitIndex1))))))),
% 7.19/5.17 inference(monotonicity,[status(thm)],[7107])).
% 7.19/5.17 tff(7109,plain,
% 7.19/5.17 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB47)) | (~(v130(constB47, bitIndex0) | v130(constB47, bitIndex2) | (~v130(constB47, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB47)) | (~(v130(constB47, bitIndex2) | v130(constB47, bitIndex0) | (~v130(constB47, bitIndex1)))))),
% 7.19/5.17 inference(transitivity,[status(thm)],[7108, 7106])).
% 7.19/5.17 tff(7110,plain,
% 7.19/5.17 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB47)) | (~(v130(constB47, bitIndex0) | v130(constB47, bitIndex2) | (~v130(constB47, bitIndex1)))))),
% 7.19/5.17 inference(quant_inst,[status(thm)],[])).
% 7.19/5.17 tff(7111,plain,
% 7.19/5.17 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB47)) | (~(v130(constB47, bitIndex2) | v130(constB47, bitIndex0) | (~v130(constB47, bitIndex1))))),
% 7.19/5.17 inference(modus_ponens,[status(thm)],[7110, 7109])).
% 7.19/5.17 tff(7112,plain,
% 7.19/5.17 ((~v120(constB47)) | (~(v130(constB47, bitIndex2) | v130(constB47, bitIndex0) | (~v130(constB47, bitIndex1))))),
% 7.19/5.17 inference(unit_resolution,[status(thm)],[7111, 3881])).
% 7.19/5.17 tff(7113,plain,
% 7.19/5.17 (~(v130(constB47, bitIndex2) | v130(constB47, bitIndex0) | (~v130(constB47, bitIndex1)))),
% 7.19/5.17 inference(unit_resolution,[status(thm)],[7112, 7105])).
% 7.19/5.17 tff(7114,plain,
% 7.19/5.17 ((v130(constB47, bitIndex2) | v130(constB47, bitIndex0) | (~v130(constB47, bitIndex1))) | (~v130(constB47, bitIndex2))),
% 7.19/5.17 inference(tautology,[status(thm)],[])).
% 7.19/5.17 tff(7115,plain,
% 7.19/5.17 (~v130(constB47, bitIndex2)),
% 7.19/5.17 inference(unit_resolution,[status(thm)],[7114, 7113])).
% 7.19/5.17 tff(7116,plain,
% 7.19/5.17 (((~v127(constB47, bitIndex2)) <=> v130(constB47, bitIndex2)) | (~v127(constB47, bitIndex2)) | v130(constB47, bitIndex2)),
% 7.19/5.17 inference(tautology,[status(thm)],[])).
% 7.19/5.17 tff(7117,plain,
% 7.19/5.17 (~v127(constB47, bitIndex2)),
% 7.19/5.17 inference(unit_resolution,[status(thm)],[7116, 7115, 1664])).
% 7.19/5.17 tff(7118,plain,
% 7.19/5.17 (((~v129(constB48, bitIndex2)) <=> v127(constB47, bitIndex2)) | (~v129(constB48, bitIndex2)) | v127(constB47, bitIndex2)),
% 7.19/5.17 inference(tautology,[status(thm)],[])).
% 7.19/5.17 tff(7119,plain,
% 7.19/5.17 (~v129(constB48, bitIndex2)),
% 7.19/5.17 inference(unit_resolution,[status(thm)],[7118, 7117, 1650])).
% 7.19/5.17 tff(7120,plain,
% 7.19/5.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB47, constB48)) | (v100(constB48) <=> (~((~v101(constB48)) | (~v110(constB48))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB47, constB48)) | (v100(constB48) <=> (~((~v101(constB48)) | (~v110(constB48))))))),
% 7.19/5.17 inference(rewrite,[status(thm)],[])).
% 7.19/5.17 tff(7121,plain,
% 7.19/5.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB47, constB48)) | (v100(constB48) <=> (~((~v101(constB48)) | (~v110(constB48))))))),
% 7.19/5.17 inference(quant_inst,[status(thm)],[])).
% 7.19/5.17 tff(7122,plain,
% 7.19/5.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB47, constB48)) | (v100(constB48) <=> (~((~v101(constB48)) | (~v110(constB48)))))),
% 7.19/5.17 inference(modus_ponens,[status(thm)],[7121, 7120])).
% 7.19/5.17 tff(7123,plain,
% 7.19/5.17 (v100(constB48) <=> (~((~v101(constB48)) | (~v110(constB48))))),
% 7.19/5.17 inference(unit_resolution,[status(thm)],[7122, 1644, 445])).
% 7.19/5.17 tff(7124,plain,
% 7.19/5.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB47, constB48)) | (v101(constB48) <=> (~((~v1(constB48)) | (~v102(constB48))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB47, constB48)) | (v101(constB48) <=> (~((~v1(constB48)) | (~v102(constB48))))))),
% 7.19/5.17 inference(rewrite,[status(thm)],[])).
% 7.19/5.17 tff(7125,plain,
% 7.19/5.17 (((~nextState(constB47, constB48)) | (v101(constB48) <=> (~((~v102(constB48)) | (~v1(constB48)))))) <=> ((~nextState(constB47, constB48)) | (v101(constB48) <=> (~((~v1(constB48)) | (~v102(constB48))))))),
% 7.19/5.17 inference(rewrite,[status(thm)],[])).
% 7.19/5.17 tff(7126,plain,
% 7.19/5.17 (((~![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) <=> (~((~v1(constB48)) | (~v102(constB48)))))))),
% 7.19/5.17 inference(monotonicity,[status(thm)],[7125])).
% 7.19/5.17 tff(7127,plain,
% 7.19/5.17 (((~![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) <=> (~((~v1(constB48)) | (~v102(constB48))))))),
% 7.19/5.17 inference(transitivity,[status(thm)],[7126, 7124])).
% 7.19/5.17 tff(7128,plain,
% 7.19/5.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB47, constB48)) | (v101(constB48) <=> (~((~v102(constB48)) | (~v1(constB48))))))),
% 7.19/5.17 inference(quant_inst,[status(thm)],[])).
% 7.19/5.17 tff(7129,plain,
% 7.19/5.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB47, constB48)) | (v101(constB48) <=> (~((~v1(constB48)) | (~v102(constB48)))))),
% 7.19/5.17 inference(modus_ponens,[status(thm)],[7128, 7127])).
% 7.19/5.17 tff(7130,plain,
% 7.19/5.17 (v101(constB48) <=> (~((~v1(constB48)) | (~v102(constB48))))),
% 7.19/5.17 inference(unit_resolution,[status(thm)],[7129, 1644, 465])).
% 7.19/5.17 tff(7131,plain,
% 7.19/5.17 (((~![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)))),
% 7.19/5.17 inference(rewrite,[status(thm)],[])).
% 7.19/5.17 tff(7132,plain,
% 7.19/5.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB47, constB48)) | ((~v102(constB48)) <=> v104(constB48)))),
% 7.19/5.17 inference(quant_inst,[status(thm)],[])).
% 7.19/5.17 tff(7133,plain,
% 7.19/5.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB47, constB48)) | ((~v102(constB48)) <=> v104(constB48))),
% 7.19/5.17 inference(modus_ponens,[status(thm)],[7132, 7131])).
% 7.19/5.17 tff(7134,plain,
% 7.19/5.17 ((~v102(constB48)) <=> v104(constB48)),
% 7.19/5.17 inference(unit_resolution,[status(thm)],[7133, 1644, 3244])).
% 7.19/5.17 tff(7135,plain,
% 7.19/5.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB47, constB48)) | (v104(constB48) <=> v1(constB47)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB47, constB48)) | (v104(constB48) <=> v1(constB47)))),
% 7.19/5.17 inference(rewrite,[status(thm)],[])).
% 7.19/5.17 tff(7136,plain,
% 7.19/5.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB47, constB48)) | (v104(constB48) <=> v1(constB47)))),
% 7.19/5.17 inference(quant_inst,[status(thm)],[])).
% 7.19/5.17 tff(7137,plain,
% 7.19/5.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB47, constB48)) | (v104(constB48) <=> v1(constB47))),
% 7.19/5.17 inference(modus_ponens,[status(thm)],[7136, 7135])).
% 7.19/5.17 tff(7138,plain,
% 7.19/5.17 (v104(constB48) <=> v1(constB47)),
% 7.19/5.17 inference(unit_resolution,[status(thm)],[7137, 1644, 3258])).
% 7.19/5.17 tff(7139,plain,
% 7.19/5.17 ((~(v104(constB48) <=> v1(constB47))) | (~v104(constB48)) | v1(constB47)),
% 7.19/5.17 inference(tautology,[status(thm)],[])).
% 7.19/5.17 tff(7140,plain,
% 7.19/5.17 ((~(v104(constB48) <=> v1(constB47))) | (~v104(constB48))),
% 7.19/5.17 inference(unit_resolution,[status(thm)],[7139, 1683])).
% 7.19/5.17 tff(7141,plain,
% 7.19/5.17 (~v104(constB48)),
% 7.19/5.17 inference(unit_resolution,[status(thm)],[7140, 7138])).
% 7.19/5.17 tff(7142,plain,
% 7.19/5.17 ((~((~v102(constB48)) <=> v104(constB48))) | v102(constB48) | v104(constB48)),
% 7.19/5.17 inference(tautology,[status(thm)],[])).
% 7.19/5.17 tff(7143,plain,
% 7.19/5.17 (v102(constB48)),
% 7.19/5.17 inference(unit_resolution,[status(thm)],[7142, 7141, 7134])).
% 7.19/5.17 tff(7144,plain,
% 7.19/5.17 (v1(constB48) <=> v1(constB48)),
% 7.19/5.17 inference(rewrite,[status(thm)],[])).
% 7.19/5.17 tff(7145,axiom,(v1(constB48)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_48')).
% 7.19/5.17 tff(7146,plain,
% 7.19/5.17 (v1(constB48)),
% 7.19/5.17 inference(modus_ponens,[status(thm)],[7145, 7144])).
% 7.19/5.17 tff(7147,plain,
% 7.19/5.17 ((~((~v1(constB48)) | (~v102(constB48)))) | (~v1(constB48)) | (~v102(constB48))),
% 7.19/5.17 inference(tautology,[status(thm)],[])).
% 7.19/5.17 tff(7148,plain,
% 7.19/5.17 ((~((~v1(constB48)) | (~v102(constB48)))) | (~v102(constB48))),
% 7.19/5.17 inference(unit_resolution,[status(thm)],[7147, 7146])).
% 7.19/5.17 tff(7149,plain,
% 7.19/5.17 (~((~v1(constB48)) | (~v102(constB48)))),
% 7.19/5.17 inference(unit_resolution,[status(thm)],[7148, 7143])).
% 7.19/5.17 tff(7150,plain,
% 7.19/5.17 ((~(v101(constB48) <=> (~((~v1(constB48)) | (~v102(constB48)))))) | v101(constB48) | ((~v1(constB48)) | (~v102(constB48)))),
% 7.19/5.17 inference(tautology,[status(thm)],[])).
% 7.19/5.17 tff(7151,plain,
% 7.19/5.17 (v101(constB48)),
% 7.19/5.17 inference(unit_resolution,[status(thm)],[7150, 7149, 7130])).
% 7.19/5.17 tff(7152,plain,
% 7.19/5.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB47, constB48)) | (v110(constB48) <=> v108(constB47)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB47, constB48)) | (v110(constB48) <=> v108(constB47)))),
% 7.19/5.17 inference(rewrite,[status(thm)],[])).
% 7.19/5.17 tff(7153,plain,
% 7.19/5.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB47, constB48)) | (v110(constB48) <=> v108(constB47)))),
% 7.19/5.17 inference(quant_inst,[status(thm)],[])).
% 7.19/5.17 tff(7154,plain,
% 7.19/5.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB47, constB48)) | (v110(constB48) <=> v108(constB47))),
% 7.19/5.17 inference(modus_ponens,[status(thm)],[7153, 7152])).
% 7.19/5.17 tff(7155,plain,
% 7.19/5.17 (v110(constB48) <=> v108(constB47)),
% 7.19/5.17 inference(unit_resolution,[status(thm)],[7154, 1644, 3285])).
% 7.19/5.17 tff(7156,plain,
% 7.19/5.17 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB47) <=> (v111(constB47) | v112(constB47)))),
% 7.19/5.17 inference(quant_inst,[status(thm)],[])).
% 7.19/5.17 tff(7157,plain,
% 7.19/5.17 (v108(constB47) <=> (v111(constB47) | v112(constB47))),
% 7.19/5.17 inference(unit_resolution,[status(thm)],[7156, 3296])).
% 7.19/5.17 tff(7158,plain,
% 7.19/5.17 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB47) <=> (~((~v113(constB47)) | (~v126(constB47)))))),
% 7.19/5.17 inference(quant_inst,[status(thm)],[])).
% 7.19/5.17 tff(7159,plain,
% 7.19/5.17 (v112(constB47) <=> (~((~v113(constB47)) | (~v126(constB47))))),
% 7.19/5.17 inference(unit_resolution,[status(thm)],[7158, 3308])).
% 7.19/5.17 tff(7160,plain,
% 7.19/5.17 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB47) <=> (v114(constB47) | v125(constB47)))),
% 7.19/5.17 inference(quant_inst,[status(thm)],[])).
% 7.19/5.17 tff(7161,plain,
% 7.19/5.17 (v113(constB47) <=> (v114(constB47) | v125(constB47))),
% 7.19/5.17 inference(unit_resolution,[status(thm)],[7160, 3317])).
% 7.19/5.17 tff(7162,plain,
% 7.19/5.17 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB47) <=> (v115(constB47) | v124(constB47)))),
% 7.19/5.17 inference(quant_inst,[status(thm)],[])).
% 7.19/5.17 tff(7163,plain,
% 7.19/5.17 (v114(constB47) <=> (v115(constB47) | v124(constB47))),
% 7.19/5.17 inference(unit_resolution,[status(thm)],[7162, 3326])).
% 7.19/5.17 tff(7164,plain,
% 7.19/5.17 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB47) <=> (v116(constB47) | v123(constB47)))),
% 7.19/5.17 inference(quant_inst,[status(thm)],[])).
% 7.19/5.17 tff(7165,plain,
% 7.19/5.17 (v115(constB47) <=> (v116(constB47) | v123(constB47))),
% 7.19/5.17 inference(unit_resolution,[status(thm)],[7164, 3335])).
% 7.19/5.17 tff(7166,plain,
% 7.19/5.17 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB47) <=> (v117(constB47) | v122(constB47)))),
% 7.19/5.17 inference(quant_inst,[status(thm)],[])).
% 7.19/5.17 tff(7167,plain,
% 7.19/5.17 (v116(constB47) <=> (v117(constB47) | v122(constB47))),
% 7.19/5.17 inference(unit_resolution,[status(thm)],[7166, 3344])).
% 7.19/5.17 tff(7168,plain,
% 7.19/5.17 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB47) <=> (v118(constB47) | v121(constB47)))),
% 7.19/5.17 inference(quant_inst,[status(thm)],[])).
% 7.19/5.17 tff(7169,plain,
% 7.19/5.17 (v117(constB47) <=> (v118(constB47) | v121(constB47))),
% 7.19/5.17 inference(unit_resolution,[status(thm)],[7168, 3353])).
% 7.19/5.17 tff(7170,plain,
% 7.19/5.17 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB47) <=> (v119(constB47) | v120(constB47)))),
% 7.19/5.17 inference(quant_inst,[status(thm)],[])).
% 7.19/5.17 tff(7171,plain,
% 7.19/5.17 (v118(constB47) <=> (v119(constB47) | v120(constB47))),
% 7.19/5.17 inference(unit_resolution,[status(thm)],[7170, 3362])).
% 7.19/5.17 tff(7172,plain,
% 7.19/5.17 ((v119(constB47) | v120(constB47)) | (~v120(constB47))),
% 7.19/5.17 inference(tautology,[status(thm)],[])).
% 7.19/5.17 tff(7173,plain,
% 7.19/5.17 (v119(constB47) | v120(constB47)),
% 7.19/5.17 inference(unit_resolution,[status(thm)],[7172, 7105])).
% 7.19/5.17 tff(7174,plain,
% 7.19/5.17 ((~(v118(constB47) <=> (v119(constB47) | v120(constB47)))) | v118(constB47) | (~(v119(constB47) | v120(constB47)))),
% 7.19/5.17 inference(tautology,[status(thm)],[])).
% 7.19/5.17 tff(7175,plain,
% 7.19/5.17 (v118(constB47)),
% 7.19/5.17 inference(unit_resolution,[status(thm)],[7174, 7173, 7171])).
% 7.19/5.17 tff(7176,plain,
% 7.19/5.17 ((v118(constB47) | v121(constB47)) | (~v118(constB47))),
% 7.19/5.17 inference(tautology,[status(thm)],[])).
% 7.19/5.17 tff(7177,plain,
% 7.19/5.17 (v118(constB47) | v121(constB47)),
% 7.19/5.17 inference(unit_resolution,[status(thm)],[7176, 7175])).
% 7.19/5.17 tff(7178,plain,
% 7.19/5.17 ((~(v117(constB47) <=> (v118(constB47) | v121(constB47)))) | v117(constB47) | (~(v118(constB47) | v121(constB47)))),
% 7.19/5.17 inference(tautology,[status(thm)],[])).
% 7.19/5.17 tff(7179,plain,
% 7.19/5.17 (v117(constB47)),
% 7.19/5.17 inference(unit_resolution,[status(thm)],[7178, 7177, 7169])).
% 7.19/5.17 tff(7180,plain,
% 7.19/5.17 ((v117(constB47) | v122(constB47)) | (~v117(constB47))),
% 7.19/5.17 inference(tautology,[status(thm)],[])).
% 7.19/5.17 tff(7181,plain,
% 7.19/5.17 (v117(constB47) | v122(constB47)),
% 7.19/5.17 inference(unit_resolution,[status(thm)],[7180, 7179])).
% 7.19/5.17 tff(7182,plain,
% 7.19/5.17 ((~(v116(constB47) <=> (v117(constB47) | v122(constB47)))) | v116(constB47) | (~(v117(constB47) | v122(constB47)))),
% 7.19/5.17 inference(tautology,[status(thm)],[])).
% 7.19/5.17 tff(7183,plain,
% 7.19/5.17 (v116(constB47)),
% 7.19/5.17 inference(unit_resolution,[status(thm)],[7182, 7181, 7167])).
% 7.19/5.17 tff(7184,plain,
% 7.19/5.17 ((v116(constB47) | v123(constB47)) | (~v116(constB47))),
% 7.19/5.17 inference(tautology,[status(thm)],[])).
% 7.19/5.17 tff(7185,plain,
% 7.19/5.17 (v116(constB47) | v123(constB47)),
% 7.19/5.17 inference(unit_resolution,[status(thm)],[7184, 7183])).
% 7.19/5.17 tff(7186,plain,
% 7.19/5.17 ((~(v115(constB47) <=> (v116(constB47) | v123(constB47)))) | v115(constB47) | (~(v116(constB47) | v123(constB47)))),
% 7.19/5.17 inference(tautology,[status(thm)],[])).
% 7.19/5.17 tff(7187,plain,
% 7.19/5.17 (v115(constB47)),
% 7.19/5.17 inference(unit_resolution,[status(thm)],[7186, 7185, 7165])).
% 7.19/5.17 tff(7188,plain,
% 7.19/5.17 ((v115(constB47) | v124(constB47)) | (~v115(constB47))),
% 7.19/5.17 inference(tautology,[status(thm)],[])).
% 7.19/5.17 tff(7189,plain,
% 7.19/5.17 (v115(constB47) | v124(constB47)),
% 7.19/5.17 inference(unit_resolution,[status(thm)],[7188, 7187])).
% 7.19/5.17 tff(7190,plain,
% 7.19/5.17 ((~(v114(constB47) <=> (v115(constB47) | v124(constB47)))) | v114(constB47) | (~(v115(constB47) | v124(constB47)))),
% 7.19/5.17 inference(tautology,[status(thm)],[])).
% 7.19/5.17 tff(7191,plain,
% 7.19/5.17 (v114(constB47)),
% 7.19/5.17 inference(unit_resolution,[status(thm)],[7190, 7189, 7163])).
% 7.19/5.17 tff(7192,plain,
% 7.19/5.17 ((v114(constB47) | v125(constB47)) | (~v114(constB47))),
% 7.19/5.17 inference(tautology,[status(thm)],[])).
% 7.19/5.17 tff(7193,plain,
% 7.19/5.17 (v114(constB47) | v125(constB47)),
% 7.19/5.17 inference(unit_resolution,[status(thm)],[7192, 7191])).
% 7.19/5.17 tff(7194,plain,
% 7.19/5.17 ((~(v113(constB47) <=> (v114(constB47) | v125(constB47)))) | v113(constB47) | (~(v114(constB47) | v125(constB47)))),
% 7.19/5.17 inference(tautology,[status(thm)],[])).
% 7.19/5.17 tff(7195,plain,
% 7.19/5.17 (v113(constB47)),
% 7.19/5.17 inference(unit_resolution,[status(thm)],[7194, 7193, 7161])).
% 7.19/5.17 tff(7196,plain,
% 7.19/5.17 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB47)) <=> v111(constB47))),
% 7.19/5.17 inference(quant_inst,[status(thm)],[])).
% 7.19/5.17 tff(7197,plain,
% 7.19/5.17 ((~v126(constB47)) <=> v111(constB47)),
% 7.19/5.17 inference(unit_resolution,[status(thm)],[7196, 3396])).
% 7.19/5.17 tff(7198,plain,
% 7.19/5.17 ((~((~v126(constB47)) <=> v111(constB47))) | v126(constB47) | v111(constB47)),
% 7.19/5.17 inference(tautology,[status(thm)],[])).
% 7.19/5.17 tff(7199,plain,
% 7.19/5.17 ((~((~v126(constB47)) <=> v111(constB47))) | v126(constB47)),
% 7.19/5.17 inference(unit_resolution,[status(thm)],[7198, 1657])).
% 7.19/5.17 tff(7200,plain,
% 7.19/5.17 (v126(constB47)),
% 7.19/5.17 inference(unit_resolution,[status(thm)],[7199, 7197])).
% 7.19/5.17 tff(7201,plain,
% 7.19/5.17 ((~((~v113(constB47)) | (~v126(constB47)))) | (~v113(constB47)) | (~v126(constB47))),
% 7.19/5.17 inference(tautology,[status(thm)],[])).
% 7.19/5.17 tff(7202,plain,
% 7.19/5.17 ((~((~v113(constB47)) | (~v126(constB47)))) | (~v113(constB47))),
% 7.19/5.17 inference(unit_resolution,[status(thm)],[7201, 7200])).
% 7.19/5.17 tff(7203,plain,
% 7.19/5.17 (~((~v113(constB47)) | (~v126(constB47)))),
% 7.19/5.17 inference(unit_resolution,[status(thm)],[7202, 7195])).
% 7.19/5.17 tff(7204,plain,
% 7.19/5.17 ((~(v112(constB47) <=> (~((~v113(constB47)) | (~v126(constB47)))))) | v112(constB47) | ((~v113(constB47)) | (~v126(constB47)))),
% 7.19/5.17 inference(tautology,[status(thm)],[])).
% 7.19/5.17 tff(7205,plain,
% 7.19/5.17 (v112(constB47)),
% 7.19/5.17 inference(unit_resolution,[status(thm)],[7204, 7203, 7159])).
% 7.19/5.17 tff(7206,plain,
% 7.19/5.17 ((v111(constB47) | v112(constB47)) | (~v112(constB47))),
% 7.19/5.17 inference(tautology,[status(thm)],[])).
% 7.19/5.17 tff(7207,plain,
% 7.19/5.17 (v111(constB47) | v112(constB47)),
% 7.19/5.17 inference(unit_resolution,[status(thm)],[7206, 7205])).
% 7.19/5.17 tff(7208,plain,
% 7.19/5.17 ((~(v108(constB47) <=> (v111(constB47) | v112(constB47)))) | v108(constB47) | (~(v111(constB47) | v112(constB47)))),
% 7.19/5.17 inference(tautology,[status(thm)],[])).
% 7.19/5.17 tff(7209,plain,
% 7.19/5.17 (v108(constB47)),
% 7.19/5.17 inference(unit_resolution,[status(thm)],[7208, 7207, 7157])).
% 7.19/5.17 tff(7210,plain,
% 7.19/5.17 ((~(v110(constB48) <=> v108(constB47))) | v110(constB48) | (~v108(constB47))),
% 7.19/5.17 inference(tautology,[status(thm)],[])).
% 7.19/5.17 tff(7211,plain,
% 7.19/5.17 (v110(constB48)),
% 7.19/5.17 inference(unit_resolution,[status(thm)],[7210, 7209, 7155])).
% 7.19/5.17 tff(7212,plain,
% 7.19/5.17 ((~((~v101(constB48)) | (~v110(constB48)))) | (~v101(constB48)) | (~v110(constB48))),
% 7.19/5.17 inference(tautology,[status(thm)],[])).
% 7.19/5.17 tff(7213,plain,
% 7.19/5.17 (~((~v101(constB48)) | (~v110(constB48)))),
% 7.19/5.17 inference(unit_resolution,[status(thm)],[7212, 7211, 7151])).
% 7.19/5.17 tff(7214,plain,
% 7.19/5.17 ((~(v100(constB48) <=> (~((~v101(constB48)) | (~v110(constB48)))))) | v100(constB48) | ((~v101(constB48)) | (~v110(constB48)))),
% 7.19/5.17 inference(tautology,[status(thm)],[])).
% 7.19/5.17 tff(7215,plain,
% 7.19/5.17 (v100(constB48)),
% 7.19/5.17 inference(unit_resolution,[status(thm)],[7214, 7213, 7123])).
% 7.19/5.17 tff(7216,plain,
% 7.19/5.17 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB48)) | (~(((~v90(constB48, bitIndex2)) <=> v129(constB48, bitIndex2)) | ((~v90(constB48, bitIndex1)) <=> v129(constB48, bitIndex1)) | ((~v90(constB48, bitIndex0)) <=> v129(constB48, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB48)) | (~(((~v90(constB48, bitIndex2)) <=> v129(constB48, bitIndex2)) | ((~v90(constB48, bitIndex1)) <=> v129(constB48, bitIndex1)) | ((~v90(constB48, bitIndex0)) <=> v129(constB48, bitIndex0)))))),
% 7.19/5.17 inference(rewrite,[status(thm)],[])).
% 7.19/5.17 tff(7217,plain,
% 7.19/5.17 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB48)) | (~(((~v90(constB48, bitIndex2)) <=> v129(constB48, bitIndex2)) | ((~v90(constB48, bitIndex1)) <=> v129(constB48, bitIndex1)) | ((~v90(constB48, bitIndex0)) <=> v129(constB48, bitIndex0)))))),
% 7.19/5.17 inference(quant_inst,[status(thm)],[])).
% 7.19/5.17 tff(7218,plain,
% 7.19/5.17 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB48)) | (~(((~v90(constB48, bitIndex2)) <=> v129(constB48, bitIndex2)) | ((~v90(constB48, bitIndex1)) <=> v129(constB48, bitIndex1)) | ((~v90(constB48, bitIndex0)) <=> v129(constB48, bitIndex0))))),
% 7.19/5.17 inference(modus_ponens,[status(thm)],[7217, 7216])).
% 7.19/5.17 tff(7219,plain,
% 7.19/5.17 ((~v100(constB48)) | (~(((~v90(constB48, bitIndex2)) <=> v129(constB48, bitIndex2)) | ((~v90(constB48, bitIndex1)) <=> v129(constB48, bitIndex1)) | ((~v90(constB48, bitIndex0)) <=> v129(constB48, bitIndex0))))),
% 7.19/5.17 inference(unit_resolution,[status(thm)],[7218, 3429])).
% 7.19/5.17 tff(7220,plain,
% 7.19/5.17 (~(((~v90(constB48, bitIndex2)) <=> v129(constB48, bitIndex2)) | ((~v90(constB48, bitIndex1)) <=> v129(constB48, bitIndex1)) | ((~v90(constB48, bitIndex0)) <=> v129(constB48, bitIndex0)))),
% 7.19/5.17 inference(unit_resolution,[status(thm)],[7219, 7215])).
% 7.19/5.17 tff(7221,plain,
% 7.19/5.17 ((((~v90(constB48, bitIndex2)) <=> v129(constB48, bitIndex2)) | ((~v90(constB48, bitIndex1)) <=> v129(constB48, bitIndex1)) | ((~v90(constB48, bitIndex0)) <=> v129(constB48, bitIndex0))) | (~((~v90(constB48, bitIndex2)) <=> v129(constB48, bitIndex2)))),
% 7.19/5.17 inference(tautology,[status(thm)],[])).
% 7.19/5.17 tff(7222,plain,
% 7.19/5.17 (~((~v90(constB48, bitIndex2)) <=> v129(constB48, bitIndex2))),
% 7.19/5.17 inference(unit_resolution,[status(thm)],[7221, 7220])).
% 7.19/5.17 tff(7223,plain,
% 7.19/5.17 (((~v90(constB48, bitIndex2)) <=> v129(constB48, bitIndex2)) | (~v90(constB48, bitIndex2)) | v129(constB48, bitIndex2)),
% 7.19/5.17 inference(tautology,[status(thm)],[])).
% 7.19/5.17 tff(7224,plain,
% 7.19/5.17 (~v90(constB48, bitIndex2)),
% 7.19/5.17 inference(unit_resolution,[status(thm)],[7223, 7222, 7119])).
% 7.19/5.17 tff(7225,plain,
% 7.19/5.17 (((~v90(constB49, bitIndex2)) <=> v90(constB48, bitIndex2)) | (~v90(constB49, bitIndex2)) | v90(constB48, bitIndex2)),
% 7.19/5.17 inference(tautology,[status(thm)],[])).
% 7.19/5.17 tff(7226,plain,
% 7.19/5.17 (~v90(constB49, bitIndex2)),
% 7.19/5.17 inference(unit_resolution,[status(thm)],[7225, 7224, 1641])).
% 7.19/5.17 tff(7227,plain,
% 7.19/5.17 ((((~v90(constB49, bitIndex1)) <=> v90(constB48, bitIndex1)) | ((~v90(constB49, bitIndex2)) <=> v90(constB48, bitIndex2)) | ((~v90(constB49, bitIndex0)) <=> v90(constB48, bitIndex0))) | (~((~v90(constB49, bitIndex0)) <=> v90(constB48, bitIndex0)))),
% 7.19/5.17 inference(tautology,[status(thm)],[])).
% 7.19/5.17 tff(7228,plain,
% 7.19/5.17 (~((~v90(constB49, bitIndex0)) <=> v90(constB48, bitIndex0))),
% 7.19/5.17 inference(unit_resolution,[status(thm)],[7227, 1639])).
% 7.19/5.18 tff(7229,plain,
% 7.19/5.18 ((((~v129(constB48, bitIndex2)) <=> v127(constB47, bitIndex2)) | ((~v129(constB48, bitIndex1)) <=> v127(constB47, bitIndex1)) | ((~v129(constB48, bitIndex0)) <=> v127(constB47, bitIndex0))) | (~((~v129(constB48, bitIndex0)) <=> v127(constB47, bitIndex0)))),
% 7.19/5.18 inference(tautology,[status(thm)],[])).
% 7.19/5.18 tff(7230,plain,
% 7.19/5.18 (~((~v129(constB48, bitIndex0)) <=> v127(constB47, bitIndex0))),
% 7.19/5.18 inference(unit_resolution,[status(thm)],[7229, 1648])).
% 7.19/5.18 tff(7231,plain,
% 7.19/5.18 ((((~v127(constB47, bitIndex2)) <=> v130(constB47, bitIndex2)) | ((~v127(constB47, bitIndex1)) <=> v130(constB47, bitIndex1)) | ((~v127(constB47, bitIndex0)) <=> v130(constB47, bitIndex0))) | (~((~v127(constB47, bitIndex0)) <=> v130(constB47, bitIndex0)))),
% 7.19/5.18 inference(tautology,[status(thm)],[])).
% 7.19/5.18 tff(7232,plain,
% 7.19/5.18 (~((~v127(constB47, bitIndex0)) <=> v130(constB47, bitIndex0))),
% 7.19/5.18 inference(unit_resolution,[status(thm)],[7231, 1662])).
% 7.19/5.18 tff(7233,plain,
% 7.19/5.18 ((v130(constB47, bitIndex2) | v130(constB47, bitIndex0) | (~v130(constB47, bitIndex1))) | (~v130(constB47, bitIndex0))),
% 7.19/5.18 inference(tautology,[status(thm)],[])).
% 7.19/5.18 tff(7234,plain,
% 7.19/5.18 (~v130(constB47, bitIndex0)),
% 7.19/5.18 inference(unit_resolution,[status(thm)],[7233, 7113])).
% 7.19/5.18 tff(7235,plain,
% 7.19/5.18 (((~v127(constB47, bitIndex0)) <=> v130(constB47, bitIndex0)) | (~v127(constB47, bitIndex0)) | v130(constB47, bitIndex0)),
% 7.19/5.18 inference(tautology,[status(thm)],[])).
% 7.19/5.18 tff(7236,plain,
% 7.19/5.18 (~v127(constB47, bitIndex0)),
% 7.19/5.18 inference(unit_resolution,[status(thm)],[7235, 7234, 7232])).
% 7.19/5.18 tff(7237,plain,
% 7.19/5.18 (((~v129(constB48, bitIndex0)) <=> v127(constB47, bitIndex0)) | (~v129(constB48, bitIndex0)) | v127(constB47, bitIndex0)),
% 7.19/5.18 inference(tautology,[status(thm)],[])).
% 7.19/5.18 tff(7238,plain,
% 7.19/5.18 (~v129(constB48, bitIndex0)),
% 7.19/5.18 inference(unit_resolution,[status(thm)],[7237, 7236, 7230])).
% 7.19/5.18 tff(7239,plain,
% 7.19/5.18 ((((~v90(constB48, bitIndex2)) <=> v129(constB48, bitIndex2)) | ((~v90(constB48, bitIndex1)) <=> v129(constB48, bitIndex1)) | ((~v90(constB48, bitIndex0)) <=> v129(constB48, bitIndex0))) | (~((~v90(constB48, bitIndex0)) <=> v129(constB48, bitIndex0)))),
% 7.19/5.18 inference(tautology,[status(thm)],[])).
% 7.19/5.18 tff(7240,plain,
% 7.19/5.18 (~((~v90(constB48, bitIndex0)) <=> v129(constB48, bitIndex0))),
% 7.19/5.18 inference(unit_resolution,[status(thm)],[7239, 7220])).
% 7.19/5.18 tff(7241,plain,
% 7.19/5.18 (((~v90(constB48, bitIndex0)) <=> v129(constB48, bitIndex0)) | (~v90(constB48, bitIndex0)) | v129(constB48, bitIndex0)),
% 7.19/5.18 inference(tautology,[status(thm)],[])).
% 7.19/5.18 tff(7242,plain,
% 7.19/5.18 (~v90(constB48, bitIndex0)),
% 7.19/5.18 inference(unit_resolution,[status(thm)],[7241, 7240, 7238])).
% 7.19/5.18 tff(7243,plain,
% 7.19/5.18 (((~v90(constB49, bitIndex0)) <=> v90(constB48, bitIndex0)) | (~v90(constB49, bitIndex0)) | v90(constB48, bitIndex0)),
% 7.19/5.18 inference(tautology,[status(thm)],[])).
% 7.19/5.18 tff(7244,plain,
% 7.19/5.18 (~v90(constB49, bitIndex0)),
% 7.19/5.18 inference(unit_resolution,[status(thm)],[7243, 7242, 7228])).
% 7.19/5.18 tff(7245,plain,
% 7.19/5.18 ((((~v90(constB49, bitIndex1)) <=> v90(constB48, bitIndex1)) | ((~v90(constB49, bitIndex2)) <=> v90(constB48, bitIndex2)) | ((~v90(constB49, bitIndex0)) <=> v90(constB48, bitIndex0))) | (~((~v90(constB49, bitIndex1)) <=> v90(constB48, bitIndex1)))),
% 7.19/5.18 inference(tautology,[status(thm)],[])).
% 7.19/5.18 tff(7246,plain,
% 7.19/5.18 (~((~v90(constB49, bitIndex1)) <=> v90(constB48, bitIndex1))),
% 7.19/5.18 inference(unit_resolution,[status(thm)],[7245, 1639])).
% 7.19/5.18 tff(7247,plain,
% 7.19/5.18 ((((~v129(constB48, bitIndex2)) <=> v127(constB47, bitIndex2)) | ((~v129(constB48, bitIndex1)) <=> v127(constB47, bitIndex1)) | ((~v129(constB48, bitIndex0)) <=> v127(constB47, bitIndex0))) | (~((~v129(constB48, bitIndex1)) <=> v127(constB47, bitIndex1)))),
% 7.19/5.18 inference(tautology,[status(thm)],[])).
% 7.19/5.18 tff(7248,plain,
% 7.19/5.18 (~((~v129(constB48, bitIndex1)) <=> v127(constB47, bitIndex1))),
% 7.19/5.18 inference(unit_resolution,[status(thm)],[7247, 1648])).
% 7.19/5.18 tff(7249,plain,
% 7.19/5.18 ((((~v127(constB47, bitIndex2)) <=> v130(constB47, bitIndex2)) | ((~v127(constB47, bitIndex1)) <=> v130(constB47, bitIndex1)) | ((~v127(constB47, bitIndex0)) <=> v130(constB47, bitIndex0))) | (~((~v127(constB47, bitIndex1)) <=> v130(constB47, bitIndex1)))),
% 7.19/5.18 inference(tautology,[status(thm)],[])).
% 7.19/5.18 tff(7250,plain,
% 7.19/5.18 (~((~v127(constB47, bitIndex1)) <=> v130(constB47, bitIndex1))),
% 7.19/5.18 inference(unit_resolution,[status(thm)],[7249, 1662])).
% 7.19/5.18 tff(7251,plain,
% 7.19/5.18 ((v130(constB47, bitIndex2) | v130(constB47, bitIndex0) | (~v130(constB47, bitIndex1))) | v130(constB47, bitIndex1)),
% 7.19/5.18 inference(tautology,[status(thm)],[])).
% 7.19/5.18 tff(7252,plain,
% 7.19/5.18 (v130(constB47, bitIndex1)),
% 7.19/5.18 inference(unit_resolution,[status(thm)],[7251, 7113])).
% 7.19/5.18 tff(7253,plain,
% 7.19/5.18 (((~v127(constB47, bitIndex1)) <=> v130(constB47, bitIndex1)) | v127(constB47, bitIndex1) | (~v130(constB47, bitIndex1))),
% 7.19/5.18 inference(tautology,[status(thm)],[])).
% 7.19/5.18 tff(7254,plain,
% 7.19/5.18 (v127(constB47, bitIndex1)),
% 7.19/5.18 inference(unit_resolution,[status(thm)],[7253, 7252, 7250])).
% 7.19/5.18 tff(7255,plain,
% 7.19/5.18 (((~v129(constB48, bitIndex1)) <=> v127(constB47, bitIndex1)) | v129(constB48, bitIndex1) | (~v127(constB47, bitIndex1))),
% 7.19/5.18 inference(tautology,[status(thm)],[])).
% 7.19/5.18 tff(7256,plain,
% 7.19/5.18 (v129(constB48, bitIndex1)),
% 7.19/5.18 inference(unit_resolution,[status(thm)],[7255, 7254, 7248])).
% 7.19/5.18 tff(7257,plain,
% 7.19/5.18 ((((~v90(constB48, bitIndex2)) <=> v129(constB48, bitIndex2)) | ((~v90(constB48, bitIndex1)) <=> v129(constB48, bitIndex1)) | ((~v90(constB48, bitIndex0)) <=> v129(constB48, bitIndex0))) | (~((~v90(constB48, bitIndex1)) <=> v129(constB48, bitIndex1)))),
% 7.19/5.18 inference(tautology,[status(thm)],[])).
% 7.19/5.18 tff(7258,plain,
% 7.19/5.18 (~((~v90(constB48, bitIndex1)) <=> v129(constB48, bitIndex1))),
% 7.19/5.18 inference(unit_resolution,[status(thm)],[7257, 7220])).
% 7.19/5.18 tff(7259,plain,
% 7.19/5.18 (((~v90(constB48, bitIndex1)) <=> v129(constB48, bitIndex1)) | v90(constB48, bitIndex1) | (~v129(constB48, bitIndex1))),
% 7.19/5.18 inference(tautology,[status(thm)],[])).
% 7.19/5.18 tff(7260,plain,
% 7.19/5.18 (v90(constB48, bitIndex1)),
% 7.19/5.18 inference(unit_resolution,[status(thm)],[7259, 7258, 7256])).
% 7.19/5.18 tff(7261,plain,
% 7.19/5.18 (((~v90(constB49, bitIndex1)) <=> v90(constB48, bitIndex1)) | v90(constB49, bitIndex1) | (~v90(constB48, bitIndex1))),
% 7.19/5.18 inference(tautology,[status(thm)],[])).
% 7.19/5.18 tff(7262,plain,
% 7.19/5.18 (v90(constB49, bitIndex1)),
% 7.19/5.18 inference(unit_resolution,[status(thm)],[7261, 7260, 7246])).
% 7.19/5.18 tff(7263,plain,
% 7.19/5.18 ((~(v90(constB49, bitIndex2) | v90(constB49, bitIndex0) | (~v90(constB49, bitIndex1)))) | v90(constB49, bitIndex2) | v90(constB49, bitIndex0) | (~v90(constB49, bitIndex1))),
% 7.19/5.18 inference(tautology,[status(thm)],[])).
% 7.19/5.18 tff(7264,plain,
% 7.19/5.18 (~(v90(constB49, bitIndex2) | v90(constB49, bitIndex0) | (~v90(constB49, bitIndex1)))),
% 7.19/5.18 inference(unit_resolution,[status(thm)],[7263, 7262, 7244, 7226])).
% 7.19/5.18 tff(7265,plain,
% 7.19/5.18 ((~(v121(constB49) <=> (~(v90(constB49, bitIndex2) | v90(constB49, bitIndex0) | (~v90(constB49, bitIndex1)))))) | v121(constB49) | (v90(constB49, bitIndex2) | v90(constB49, bitIndex0) | (~v90(constB49, bitIndex1)))),
% 7.19/5.18 inference(tautology,[status(thm)],[])).
% 7.19/5.18 tff(7266,plain,
% 7.19/5.18 (v121(constB49)),
% 7.19/5.18 inference(unit_resolution,[status(thm)],[7265, 7264, 1605])).
% 7.19/5.18 tff(7267,plain,
% 7.19/5.18 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB49)) | (~(v130(constB49, bitIndex2) | (~v130(constB49, bitIndex1)) | (~v130(constB49, bitIndex0)))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | (~v121(constB49)) | (~(v130(constB49, bitIndex2) | (~v130(constB49, bitIndex1)) | (~v130(constB49, bitIndex0)))))),
% 7.26/5.18 inference(rewrite,[status(thm)],[])).
% 7.26/5.18 tff(7268,plain,
% 7.26/5.18 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB49)) | (~(v130(constB49, bitIndex2) | (~v130(constB49, bitIndex1)) | (~v130(constB49, bitIndex0)))))),
% 7.26/5.18 inference(quant_inst,[status(thm)],[])).
% 7.26/5.18 tff(7269,plain,
% 7.26/5.18 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | (~v121(constB49)) | (~(v130(constB49, bitIndex2) | (~v130(constB49, bitIndex1)) | (~v130(constB49, bitIndex0))))),
% 7.26/5.18 inference(modus_ponens,[status(thm)],[7268, 7267])).
% 7.26/5.18 tff(7270,plain,
% 7.26/5.18 ((~v121(constB49)) | (~(v130(constB49, bitIndex2) | (~v130(constB49, bitIndex1)) | (~v130(constB49, bitIndex0))))),
% 7.26/5.18 inference(unit_resolution,[status(thm)],[7269, 4055])).
% 7.26/5.18 tff(7271,plain,
% 7.26/5.18 (~(v130(constB49, bitIndex2) | (~v130(constB49, bitIndex1)) | (~v130(constB49, bitIndex0)))),
% 7.26/5.18 inference(unit_resolution,[status(thm)],[7270, 7266])).
% 7.26/5.18 tff(7272,plain,
% 7.26/5.18 ((v130(constB49, bitIndex2) | (~v130(constB49, bitIndex1)) | (~v130(constB49, bitIndex0))) | (~v130(constB49, bitIndex2))),
% 7.26/5.18 inference(tautology,[status(thm)],[])).
% 7.26/5.18 tff(7273,plain,
% 7.26/5.18 (~v130(constB49, bitIndex2)),
% 7.26/5.18 inference(unit_resolution,[status(thm)],[7272, 7271])).
% 7.26/5.18 tff(7274,plain,
% 7.26/5.18 (((~v127(constB49, bitIndex2)) <=> v130(constB49, bitIndex2)) | (~v127(constB49, bitIndex2)) | v130(constB49, bitIndex2)),
% 7.26/5.18 inference(tautology,[status(thm)],[])).
% 7.26/5.18 tff(7275,plain,
% 7.26/5.18 (~v127(constB49, bitIndex2)),
% 7.26/5.18 inference(unit_resolution,[status(thm)],[7274, 7273, 1598])).
% 7.26/5.18 tff(7276,plain,
% 7.26/5.18 (((~v129(constB50, bitIndex2)) <=> v127(constB49, bitIndex2)) | (~v129(constB50, bitIndex2)) | v127(constB49, bitIndex2)),
% 7.26/5.18 inference(tautology,[status(thm)],[])).
% 7.26/5.18 tff(7277,plain,
% 7.26/5.18 (~v129(constB50, bitIndex2)),
% 7.26/5.18 inference(unit_resolution,[status(thm)],[7276, 7275, 1584])).
% 7.26/5.18 tff(7278,plain,
% 7.26/5.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB49, constB50)) | (v100(constB50) <=> (~((~v101(constB50)) | (~v110(constB50))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB49, constB50)) | (v100(constB50) <=> (~((~v101(constB50)) | (~v110(constB50))))))),
% 7.26/5.18 inference(rewrite,[status(thm)],[])).
% 7.26/5.18 tff(7279,plain,
% 7.26/5.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB49, constB50)) | (v100(constB50) <=> (~((~v101(constB50)) | (~v110(constB50))))))),
% 7.26/5.18 inference(quant_inst,[status(thm)],[])).
% 7.26/5.18 tff(7280,plain,
% 7.26/5.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB49, constB50)) | (v100(constB50) <=> (~((~v101(constB50)) | (~v110(constB50)))))),
% 7.26/5.18 inference(modus_ponens,[status(thm)],[7279, 7278])).
% 7.26/5.18 tff(7281,plain,
% 7.26/5.18 (v100(constB50) <=> (~((~v101(constB50)) | (~v110(constB50))))),
% 7.26/5.18 inference(unit_resolution,[status(thm)],[7280, 1578, 445])).
% 7.26/5.18 tff(7282,plain,
% 7.26/5.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB49, constB50)) | (v101(constB50) <=> (~((~v1(constB50)) | (~v102(constB50))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB49, constB50)) | (v101(constB50) <=> (~((~v1(constB50)) | (~v102(constB50))))))),
% 7.26/5.18 inference(rewrite,[status(thm)],[])).
% 7.26/5.18 tff(7283,plain,
% 7.26/5.18 (((~nextState(constB49, constB50)) | (v101(constB50) <=> (~((~v102(constB50)) | (~v1(constB50)))))) <=> ((~nextState(constB49, constB50)) | (v101(constB50) <=> (~((~v1(constB50)) | (~v102(constB50))))))),
% 7.26/5.18 inference(rewrite,[status(thm)],[])).
% 7.26/5.18 tff(7284,plain,
% 7.26/5.18 (((~![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) <=> (~((~v1(constB50)) | (~v102(constB50)))))))),
% 7.26/5.18 inference(monotonicity,[status(thm)],[7283])).
% 7.26/5.18 tff(7285,plain,
% 7.26/5.18 (((~![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) <=> (~((~v1(constB50)) | (~v102(constB50))))))),
% 7.26/5.18 inference(transitivity,[status(thm)],[7284, 7282])).
% 7.26/5.18 tff(7286,plain,
% 7.26/5.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB49, constB50)) | (v101(constB50) <=> (~((~v102(constB50)) | (~v1(constB50))))))),
% 7.26/5.18 inference(quant_inst,[status(thm)],[])).
% 7.26/5.18 tff(7287,plain,
% 7.26/5.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB49, constB50)) | (v101(constB50) <=> (~((~v1(constB50)) | (~v102(constB50)))))),
% 7.26/5.18 inference(modus_ponens,[status(thm)],[7286, 7285])).
% 7.26/5.18 tff(7288,plain,
% 7.26/5.18 (v101(constB50) <=> (~((~v1(constB50)) | (~v102(constB50))))),
% 7.26/5.18 inference(unit_resolution,[status(thm)],[7287, 1578, 465])).
% 7.26/5.18 tff(7289,plain,
% 7.26/5.18 (((~![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)))),
% 7.26/5.18 inference(rewrite,[status(thm)],[])).
% 7.26/5.18 tff(7290,plain,
% 7.26/5.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB49, constB50)) | ((~v102(constB50)) <=> v104(constB50)))),
% 7.26/5.18 inference(quant_inst,[status(thm)],[])).
% 7.26/5.18 tff(7291,plain,
% 7.26/5.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB49, constB50)) | ((~v102(constB50)) <=> v104(constB50))),
% 7.26/5.18 inference(modus_ponens,[status(thm)],[7290, 7289])).
% 7.26/5.18 tff(7292,plain,
% 7.26/5.18 ((~v102(constB50)) <=> v104(constB50)),
% 7.26/5.18 inference(unit_resolution,[status(thm)],[7291, 1578, 3244])).
% 7.26/5.18 tff(7293,plain,
% 7.26/5.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB49, constB50)) | (v104(constB50) <=> v1(constB49)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB49, constB50)) | (v104(constB50) <=> v1(constB49)))),
% 7.26/5.18 inference(rewrite,[status(thm)],[])).
% 7.26/5.18 tff(7294,plain,
% 7.26/5.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB49, constB50)) | (v104(constB50) <=> v1(constB49)))),
% 7.26/5.18 inference(quant_inst,[status(thm)],[])).
% 7.26/5.18 tff(7295,plain,
% 7.26/5.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB49, constB50)) | (v104(constB50) <=> v1(constB49))),
% 7.26/5.18 inference(modus_ponens,[status(thm)],[7294, 7293])).
% 7.26/5.18 tff(7296,plain,
% 7.26/5.18 (v104(constB50) <=> v1(constB49)),
% 7.26/5.18 inference(unit_resolution,[status(thm)],[7295, 1578, 3258])).
% 7.26/5.18 tff(7297,plain,
% 7.26/5.18 ((~(v104(constB50) <=> v1(constB49))) | (~v104(constB50)) | v1(constB49)),
% 7.26/5.18 inference(tautology,[status(thm)],[])).
% 7.26/5.18 tff(7298,plain,
% 7.26/5.18 ((~(v104(constB50) <=> v1(constB49))) | (~v104(constB50))),
% 7.26/5.18 inference(unit_resolution,[status(thm)],[7297, 1622])).
% 7.26/5.18 tff(7299,plain,
% 7.26/5.18 (~v104(constB50)),
% 7.26/5.18 inference(unit_resolution,[status(thm)],[7298, 7296])).
% 7.26/5.18 tff(7300,plain,
% 7.26/5.18 ((~((~v102(constB50)) <=> v104(constB50))) | v102(constB50) | v104(constB50)),
% 7.26/5.18 inference(tautology,[status(thm)],[])).
% 7.26/5.18 tff(7301,plain,
% 7.26/5.18 (v102(constB50)),
% 7.26/5.18 inference(unit_resolution,[status(thm)],[7300, 7299, 7292])).
% 7.26/5.18 tff(7302,plain,
% 7.26/5.18 (v1(constB50) <=> v1(constB50)),
% 7.26/5.18 inference(rewrite,[status(thm)],[])).
% 7.26/5.18 tff(7303,axiom,(v1(constB50)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_50')).
% 7.26/5.18 tff(7304,plain,
% 7.26/5.18 (v1(constB50)),
% 7.26/5.18 inference(modus_ponens,[status(thm)],[7303, 7302])).
% 7.26/5.18 tff(7305,plain,
% 7.26/5.18 ((~((~v1(constB50)) | (~v102(constB50)))) | (~v1(constB50)) | (~v102(constB50))),
% 7.26/5.18 inference(tautology,[status(thm)],[])).
% 7.26/5.18 tff(7306,plain,
% 7.26/5.18 ((~((~v1(constB50)) | (~v102(constB50)))) | (~v102(constB50))),
% 7.26/5.18 inference(unit_resolution,[status(thm)],[7305, 7304])).
% 7.26/5.18 tff(7307,plain,
% 7.26/5.18 (~((~v1(constB50)) | (~v102(constB50)))),
% 7.26/5.18 inference(unit_resolution,[status(thm)],[7306, 7301])).
% 7.26/5.18 tff(7308,plain,
% 7.26/5.18 ((~(v101(constB50) <=> (~((~v1(constB50)) | (~v102(constB50)))))) | v101(constB50) | ((~v1(constB50)) | (~v102(constB50)))),
% 7.26/5.18 inference(tautology,[status(thm)],[])).
% 7.26/5.18 tff(7309,plain,
% 7.26/5.18 (v101(constB50)),
% 7.26/5.18 inference(unit_resolution,[status(thm)],[7308, 7307, 7288])).
% 7.26/5.18 tff(7310,plain,
% 7.26/5.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB49, constB50)) | (v110(constB50) <=> v108(constB49)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB49, constB50)) | (v110(constB50) <=> v108(constB49)))),
% 7.26/5.18 inference(rewrite,[status(thm)],[])).
% 7.26/5.18 tff(7311,plain,
% 7.26/5.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB49, constB50)) | (v110(constB50) <=> v108(constB49)))),
% 7.26/5.18 inference(quant_inst,[status(thm)],[])).
% 7.26/5.18 tff(7312,plain,
% 7.26/5.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB49, constB50)) | (v110(constB50) <=> v108(constB49))),
% 7.26/5.18 inference(modus_ponens,[status(thm)],[7311, 7310])).
% 7.26/5.18 tff(7313,plain,
% 7.26/5.18 (v110(constB50) <=> v108(constB49)),
% 7.26/5.18 inference(unit_resolution,[status(thm)],[7312, 1578, 3285])).
% 7.26/5.18 tff(7314,plain,
% 7.26/5.18 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB49) <=> (v111(constB49) | v112(constB49)))),
% 7.26/5.18 inference(quant_inst,[status(thm)],[])).
% 7.26/5.18 tff(7315,plain,
% 7.26/5.18 (v108(constB49) <=> (v111(constB49) | v112(constB49))),
% 7.26/5.18 inference(unit_resolution,[status(thm)],[7314, 3296])).
% 7.26/5.18 tff(7316,plain,
% 7.26/5.18 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB49) <=> (~((~v113(constB49)) | (~v126(constB49)))))),
% 7.26/5.18 inference(quant_inst,[status(thm)],[])).
% 7.26/5.18 tff(7317,plain,
% 7.26/5.18 (v112(constB49) <=> (~((~v113(constB49)) | (~v126(constB49))))),
% 7.26/5.18 inference(unit_resolution,[status(thm)],[7316, 3308])).
% 7.26/5.18 tff(7318,plain,
% 7.26/5.18 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB49) <=> (v114(constB49) | v125(constB49)))),
% 7.26/5.18 inference(quant_inst,[status(thm)],[])).
% 7.26/5.18 tff(7319,plain,
% 7.26/5.18 (v113(constB49) <=> (v114(constB49) | v125(constB49))),
% 7.26/5.18 inference(unit_resolution,[status(thm)],[7318, 3317])).
% 7.26/5.18 tff(7320,plain,
% 7.26/5.18 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB49) <=> (v115(constB49) | v124(constB49)))),
% 7.26/5.18 inference(quant_inst,[status(thm)],[])).
% 7.26/5.18 tff(7321,plain,
% 7.26/5.18 (v114(constB49) <=> (v115(constB49) | v124(constB49))),
% 7.26/5.18 inference(unit_resolution,[status(thm)],[7320, 3326])).
% 7.26/5.18 tff(7322,plain,
% 7.26/5.18 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB49) <=> (v116(constB49) | v123(constB49)))),
% 7.26/5.18 inference(quant_inst,[status(thm)],[])).
% 7.26/5.18 tff(7323,plain,
% 7.26/5.18 (v115(constB49) <=> (v116(constB49) | v123(constB49))),
% 7.26/5.18 inference(unit_resolution,[status(thm)],[7322, 3335])).
% 7.26/5.18 tff(7324,plain,
% 7.26/5.18 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB49) <=> (v117(constB49) | v122(constB49)))),
% 7.26/5.18 inference(quant_inst,[status(thm)],[])).
% 7.26/5.18 tff(7325,plain,
% 7.26/5.18 (v116(constB49) <=> (v117(constB49) | v122(constB49))),
% 7.26/5.18 inference(unit_resolution,[status(thm)],[7324, 3344])).
% 7.26/5.18 tff(7326,plain,
% 7.26/5.18 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB49) <=> (v118(constB49) | v121(constB49)))),
% 7.26/5.18 inference(quant_inst,[status(thm)],[])).
% 7.26/5.18 tff(7327,plain,
% 7.26/5.18 (v117(constB49) <=> (v118(constB49) | v121(constB49))),
% 7.26/5.18 inference(unit_resolution,[status(thm)],[7326, 3353])).
% 7.26/5.18 tff(7328,plain,
% 7.26/5.18 ((v118(constB49) | v121(constB49)) | (~v121(constB49))),
% 7.26/5.18 inference(tautology,[status(thm)],[])).
% 7.26/5.18 tff(7329,plain,
% 7.26/5.18 (v118(constB49) | v121(constB49)),
% 7.26/5.18 inference(unit_resolution,[status(thm)],[7328, 7266])).
% 7.26/5.18 tff(7330,plain,
% 7.26/5.18 ((~(v117(constB49) <=> (v118(constB49) | v121(constB49)))) | v117(constB49) | (~(v118(constB49) | v121(constB49)))),
% 7.26/5.18 inference(tautology,[status(thm)],[])).
% 7.26/5.18 tff(7331,plain,
% 7.26/5.18 (v117(constB49)),
% 7.26/5.18 inference(unit_resolution,[status(thm)],[7330, 7329, 7327])).
% 7.26/5.18 tff(7332,plain,
% 7.26/5.18 ((v117(constB49) | v122(constB49)) | (~v117(constB49))),
% 7.26/5.18 inference(tautology,[status(thm)],[])).
% 7.26/5.18 tff(7333,plain,
% 7.26/5.18 (v117(constB49) | v122(constB49)),
% 7.26/5.18 inference(unit_resolution,[status(thm)],[7332, 7331])).
% 7.26/5.18 tff(7334,plain,
% 7.26/5.18 ((~(v116(constB49) <=> (v117(constB49) | v122(constB49)))) | v116(constB49) | (~(v117(constB49) | v122(constB49)))),
% 7.26/5.18 inference(tautology,[status(thm)],[])).
% 7.26/5.18 tff(7335,plain,
% 7.26/5.18 (v116(constB49)),
% 7.26/5.18 inference(unit_resolution,[status(thm)],[7334, 7333, 7325])).
% 7.26/5.18 tff(7336,plain,
% 7.26/5.18 ((v116(constB49) | v123(constB49)) | (~v116(constB49))),
% 7.26/5.18 inference(tautology,[status(thm)],[])).
% 7.26/5.18 tff(7337,plain,
% 7.26/5.18 (v116(constB49) | v123(constB49)),
% 7.26/5.18 inference(unit_resolution,[status(thm)],[7336, 7335])).
% 7.26/5.18 tff(7338,plain,
% 7.26/5.18 ((~(v115(constB49) <=> (v116(constB49) | v123(constB49)))) | v115(constB49) | (~(v116(constB49) | v123(constB49)))),
% 7.26/5.18 inference(tautology,[status(thm)],[])).
% 7.26/5.18 tff(7339,plain,
% 7.26/5.18 (v115(constB49)),
% 7.26/5.18 inference(unit_resolution,[status(thm)],[7338, 7337, 7323])).
% 7.26/5.18 tff(7340,plain,
% 7.26/5.18 ((v115(constB49) | v124(constB49)) | (~v115(constB49))),
% 7.26/5.18 inference(tautology,[status(thm)],[])).
% 7.26/5.18 tff(7341,plain,
% 7.26/5.18 (v115(constB49) | v124(constB49)),
% 7.26/5.18 inference(unit_resolution,[status(thm)],[7340, 7339])).
% 7.26/5.18 tff(7342,plain,
% 7.26/5.18 ((~(v114(constB49) <=> (v115(constB49) | v124(constB49)))) | v114(constB49) | (~(v115(constB49) | v124(constB49)))),
% 7.26/5.18 inference(tautology,[status(thm)],[])).
% 7.26/5.18 tff(7343,plain,
% 7.26/5.18 (v114(constB49)),
% 7.26/5.18 inference(unit_resolution,[status(thm)],[7342, 7341, 7321])).
% 7.26/5.18 tff(7344,plain,
% 7.26/5.18 ((v114(constB49) | v125(constB49)) | (~v114(constB49))),
% 7.26/5.18 inference(tautology,[status(thm)],[])).
% 7.26/5.18 tff(7345,plain,
% 7.26/5.18 (v114(constB49) | v125(constB49)),
% 7.26/5.18 inference(unit_resolution,[status(thm)],[7344, 7343])).
% 7.26/5.18 tff(7346,plain,
% 7.26/5.18 ((~(v113(constB49) <=> (v114(constB49) | v125(constB49)))) | v113(constB49) | (~(v114(constB49) | v125(constB49)))),
% 7.26/5.18 inference(tautology,[status(thm)],[])).
% 7.26/5.18 tff(7347,plain,
% 7.26/5.18 (v113(constB49)),
% 7.26/5.18 inference(unit_resolution,[status(thm)],[7346, 7345, 7319])).
% 7.26/5.18 tff(7348,plain,
% 7.26/5.18 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB49)) <=> v111(constB49))),
% 7.26/5.18 inference(quant_inst,[status(thm)],[])).
% 7.26/5.18 tff(7349,plain,
% 7.26/5.18 ((~v126(constB49)) <=> v111(constB49)),
% 7.26/5.18 inference(unit_resolution,[status(thm)],[7348, 3396])).
% 7.26/5.18 tff(7350,plain,
% 7.26/5.18 ((~((~v126(constB49)) <=> v111(constB49))) | v126(constB49) | v111(constB49)),
% 7.27/5.18 inference(tautology,[status(thm)],[])).
% 7.27/5.18 tff(7351,plain,
% 7.27/5.18 ((~((~v126(constB49)) <=> v111(constB49))) | v126(constB49)),
% 7.27/5.18 inference(unit_resolution,[status(thm)],[7350, 1591])).
% 7.27/5.18 tff(7352,plain,
% 7.27/5.18 (v126(constB49)),
% 7.27/5.18 inference(unit_resolution,[status(thm)],[7351, 7349])).
% 7.27/5.18 tff(7353,plain,
% 7.27/5.18 ((~((~v113(constB49)) | (~v126(constB49)))) | (~v113(constB49)) | (~v126(constB49))),
% 7.27/5.18 inference(tautology,[status(thm)],[])).
% 7.27/5.18 tff(7354,plain,
% 7.27/5.18 ((~((~v113(constB49)) | (~v126(constB49)))) | (~v113(constB49))),
% 7.27/5.18 inference(unit_resolution,[status(thm)],[7353, 7352])).
% 7.27/5.18 tff(7355,plain,
% 7.27/5.18 (~((~v113(constB49)) | (~v126(constB49)))),
% 7.27/5.18 inference(unit_resolution,[status(thm)],[7354, 7347])).
% 7.27/5.18 tff(7356,plain,
% 7.27/5.18 ((~(v112(constB49) <=> (~((~v113(constB49)) | (~v126(constB49)))))) | v112(constB49) | ((~v113(constB49)) | (~v126(constB49)))),
% 7.27/5.18 inference(tautology,[status(thm)],[])).
% 7.27/5.18 tff(7357,plain,
% 7.27/5.18 (v112(constB49)),
% 7.27/5.18 inference(unit_resolution,[status(thm)],[7356, 7355, 7317])).
% 7.27/5.18 tff(7358,plain,
% 7.27/5.18 ((v111(constB49) | v112(constB49)) | (~v112(constB49))),
% 7.27/5.18 inference(tautology,[status(thm)],[])).
% 7.27/5.18 tff(7359,plain,
% 7.27/5.18 (v111(constB49) | v112(constB49)),
% 7.27/5.18 inference(unit_resolution,[status(thm)],[7358, 7357])).
% 7.27/5.18 tff(7360,plain,
% 7.27/5.18 ((~(v108(constB49) <=> (v111(constB49) | v112(constB49)))) | v108(constB49) | (~(v111(constB49) | v112(constB49)))),
% 7.27/5.18 inference(tautology,[status(thm)],[])).
% 7.27/5.18 tff(7361,plain,
% 7.27/5.18 (v108(constB49)),
% 7.27/5.18 inference(unit_resolution,[status(thm)],[7360, 7359, 7315])).
% 7.27/5.18 tff(7362,plain,
% 7.27/5.18 ((~(v110(constB50) <=> v108(constB49))) | v110(constB50) | (~v108(constB49))),
% 7.27/5.18 inference(tautology,[status(thm)],[])).
% 7.27/5.18 tff(7363,plain,
% 7.27/5.18 (v110(constB50)),
% 7.27/5.18 inference(unit_resolution,[status(thm)],[7362, 7361, 7313])).
% 7.27/5.18 tff(7364,plain,
% 7.27/5.18 ((~((~v101(constB50)) | (~v110(constB50)))) | (~v101(constB50)) | (~v110(constB50))),
% 7.27/5.18 inference(tautology,[status(thm)],[])).
% 7.27/5.18 tff(7365,plain,
% 7.27/5.18 (~((~v101(constB50)) | (~v110(constB50)))),
% 7.27/5.18 inference(unit_resolution,[status(thm)],[7364, 7363, 7309])).
% 7.27/5.18 tff(7366,plain,
% 7.27/5.18 ((~(v100(constB50) <=> (~((~v101(constB50)) | (~v110(constB50)))))) | v100(constB50) | ((~v101(constB50)) | (~v110(constB50)))),
% 7.27/5.18 inference(tautology,[status(thm)],[])).
% 7.27/5.18 tff(7367,plain,
% 7.27/5.18 (v100(constB50)),
% 7.27/5.18 inference(unit_resolution,[status(thm)],[7366, 7365, 7281])).
% 7.27/5.18 tff(7368,plain,
% 7.27/5.18 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB50)) | (~(((~v90(constB50, bitIndex0)) <=> v129(constB50, bitIndex0)) | ((~v90(constB50, bitIndex2)) <=> v129(constB50, bitIndex2)) | ((~v90(constB50, bitIndex1)) <=> v129(constB50, bitIndex1)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB50)) | (~(((~v90(constB50, bitIndex0)) <=> v129(constB50, bitIndex0)) | ((~v90(constB50, bitIndex2)) <=> v129(constB50, bitIndex2)) | ((~v90(constB50, bitIndex1)) <=> v129(constB50, bitIndex1)))))),
% 7.27/5.18 inference(rewrite,[status(thm)],[])).
% 7.27/5.18 tff(7369,plain,
% 7.27/5.18 (((~v100(constB50)) | (~(((~v90(constB50, bitIndex2)) <=> v129(constB50, bitIndex2)) | ((~v90(constB50, bitIndex1)) <=> v129(constB50, bitIndex1)) | ((~v90(constB50, bitIndex0)) <=> v129(constB50, bitIndex0))))) <=> ((~v100(constB50)) | (~(((~v90(constB50, bitIndex0)) <=> v129(constB50, bitIndex0)) | ((~v90(constB50, bitIndex2)) <=> v129(constB50, bitIndex2)) | ((~v90(constB50, bitIndex1)) <=> v129(constB50, bitIndex1)))))),
% 7.27/5.18 inference(rewrite,[status(thm)],[])).
% 7.27/5.18 tff(7370,plain,
% 7.27/5.18 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB50)) | (~(((~v90(constB50, bitIndex2)) <=> v129(constB50, bitIndex2)) | ((~v90(constB50, bitIndex1)) <=> v129(constB50, bitIndex1)) | ((~v90(constB50, bitIndex0)) <=> v129(constB50, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB50)) | (~(((~v90(constB50, bitIndex0)) <=> v129(constB50, bitIndex0)) | ((~v90(constB50, bitIndex2)) <=> v129(constB50, bitIndex2)) | ((~v90(constB50, bitIndex1)) <=> v129(constB50, bitIndex1))))))),
% 7.27/5.18 inference(monotonicity,[status(thm)],[7369])).
% 7.27/5.18 tff(7371,plain,
% 7.27/5.18 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB50)) | (~(((~v90(constB50, bitIndex2)) <=> v129(constB50, bitIndex2)) | ((~v90(constB50, bitIndex1)) <=> v129(constB50, bitIndex1)) | ((~v90(constB50, bitIndex0)) <=> v129(constB50, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB50)) | (~(((~v90(constB50, bitIndex0)) <=> v129(constB50, bitIndex0)) | ((~v90(constB50, bitIndex2)) <=> v129(constB50, bitIndex2)) | ((~v90(constB50, bitIndex1)) <=> v129(constB50, bitIndex1)))))),
% 7.27/5.18 inference(transitivity,[status(thm)],[7370, 7368])).
% 7.27/5.18 tff(7372,plain,
% 7.27/5.18 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB50)) | (~(((~v90(constB50, bitIndex2)) <=> v129(constB50, bitIndex2)) | ((~v90(constB50, bitIndex1)) <=> v129(constB50, bitIndex1)) | ((~v90(constB50, bitIndex0)) <=> v129(constB50, bitIndex0)))))),
% 7.27/5.18 inference(quant_inst,[status(thm)],[])).
% 7.27/5.18 tff(7373,plain,
% 7.27/5.18 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB50)) | (~(((~v90(constB50, bitIndex0)) <=> v129(constB50, bitIndex0)) | ((~v90(constB50, bitIndex2)) <=> v129(constB50, bitIndex2)) | ((~v90(constB50, bitIndex1)) <=> v129(constB50, bitIndex1))))),
% 7.27/5.18 inference(modus_ponens,[status(thm)],[7372, 7371])).
% 7.27/5.18 tff(7374,plain,
% 7.27/5.18 ((~v100(constB50)) | (~(((~v90(constB50, bitIndex0)) <=> v129(constB50, bitIndex0)) | ((~v90(constB50, bitIndex2)) <=> v129(constB50, bitIndex2)) | ((~v90(constB50, bitIndex1)) <=> v129(constB50, bitIndex1))))),
% 7.27/5.18 inference(unit_resolution,[status(thm)],[7373, 3429])).
% 7.27/5.18 tff(7375,plain,
% 7.27/5.18 (~(((~v90(constB50, bitIndex0)) <=> v129(constB50, bitIndex0)) | ((~v90(constB50, bitIndex2)) <=> v129(constB50, bitIndex2)) | ((~v90(constB50, bitIndex1)) <=> v129(constB50, bitIndex1)))),
% 7.27/5.18 inference(unit_resolution,[status(thm)],[7374, 7367])).
% 7.27/5.18 tff(7376,plain,
% 7.27/5.18 ((((~v90(constB50, bitIndex0)) <=> v129(constB50, bitIndex0)) | ((~v90(constB50, bitIndex2)) <=> v129(constB50, bitIndex2)) | ((~v90(constB50, bitIndex1)) <=> v129(constB50, bitIndex1))) | (~((~v90(constB50, bitIndex2)) <=> v129(constB50, bitIndex2)))),
% 7.27/5.18 inference(tautology,[status(thm)],[])).
% 7.27/5.18 tff(7377,plain,
% 7.27/5.18 (~((~v90(constB50, bitIndex2)) <=> v129(constB50, bitIndex2))),
% 7.27/5.18 inference(unit_resolution,[status(thm)],[7376, 7375])).
% 7.27/5.18 tff(7378,plain,
% 7.27/5.18 (((~v90(constB50, bitIndex2)) <=> v129(constB50, bitIndex2)) | (~v90(constB50, bitIndex2)) | v129(constB50, bitIndex2)),
% 7.27/5.18 inference(tautology,[status(thm)],[])).
% 7.27/5.18 tff(7379,plain,
% 7.27/5.18 (~v90(constB50, bitIndex2)),
% 7.27/5.18 inference(unit_resolution,[status(thm)],[7378, 7377, 7277])).
% 7.27/5.18 tff(7380,plain,
% 7.27/5.18 (((~v90(constB51, bitIndex2)) <=> v90(constB50, bitIndex2)) | (~v90(constB51, bitIndex2)) | v90(constB50, bitIndex2)),
% 7.27/5.19 inference(tautology,[status(thm)],[])).
% 7.27/5.19 tff(7381,plain,
% 7.27/5.19 (~v90(constB51, bitIndex2)),
% 7.27/5.19 inference(unit_resolution,[status(thm)],[7380, 7379, 1575])).
% 7.27/5.19 tff(7382,plain,
% 7.27/5.19 ((((~v90(constB51, bitIndex1)) <=> v90(constB50, bitIndex1)) | ((~v90(constB51, bitIndex2)) <=> v90(constB50, bitIndex2)) | ((~v90(constB51, bitIndex0)) <=> v90(constB50, bitIndex0))) | (~((~v90(constB51, bitIndex0)) <=> v90(constB50, bitIndex0)))),
% 7.27/5.19 inference(tautology,[status(thm)],[])).
% 7.27/5.19 tff(7383,plain,
% 7.27/5.19 (~((~v90(constB51, bitIndex0)) <=> v90(constB50, bitIndex0))),
% 7.27/5.19 inference(unit_resolution,[status(thm)],[7382, 1573])).
% 7.27/5.19 tff(7384,plain,
% 7.27/5.19 ((((~v129(constB50, bitIndex2)) <=> v127(constB49, bitIndex2)) | ((~v129(constB50, bitIndex1)) <=> v127(constB49, bitIndex1)) | ((~v129(constB50, bitIndex0)) <=> v127(constB49, bitIndex0))) | (~((~v129(constB50, bitIndex0)) <=> v127(constB49, bitIndex0)))),
% 7.27/5.19 inference(tautology,[status(thm)],[])).
% 7.27/5.19 tff(7385,plain,
% 7.27/5.19 (~((~v129(constB50, bitIndex0)) <=> v127(constB49, bitIndex0))),
% 7.27/5.19 inference(unit_resolution,[status(thm)],[7384, 1582])).
% 7.27/5.19 tff(7386,plain,
% 7.27/5.19 ((((~v127(constB49, bitIndex2)) <=> v130(constB49, bitIndex2)) | ((~v127(constB49, bitIndex1)) <=> v130(constB49, bitIndex1)) | ((~v127(constB49, bitIndex0)) <=> v130(constB49, bitIndex0))) | (~((~v127(constB49, bitIndex0)) <=> v130(constB49, bitIndex0)))),
% 7.27/5.19 inference(tautology,[status(thm)],[])).
% 7.27/5.19 tff(7387,plain,
% 7.27/5.19 (~((~v127(constB49, bitIndex0)) <=> v130(constB49, bitIndex0))),
% 7.27/5.19 inference(unit_resolution,[status(thm)],[7386, 1596])).
% 7.27/5.19 tff(7388,plain,
% 7.27/5.19 ((v130(constB49, bitIndex2) | (~v130(constB49, bitIndex1)) | (~v130(constB49, bitIndex0))) | v130(constB49, bitIndex0)),
% 7.27/5.19 inference(tautology,[status(thm)],[])).
% 7.27/5.19 tff(7389,plain,
% 7.27/5.19 (v130(constB49, bitIndex0)),
% 7.27/5.19 inference(unit_resolution,[status(thm)],[7388, 7271])).
% 7.27/5.19 tff(7390,plain,
% 7.27/5.19 (((~v127(constB49, bitIndex0)) <=> v130(constB49, bitIndex0)) | v127(constB49, bitIndex0) | (~v130(constB49, bitIndex0))),
% 7.27/5.19 inference(tautology,[status(thm)],[])).
% 7.27/5.19 tff(7391,plain,
% 7.27/5.19 (v127(constB49, bitIndex0)),
% 7.27/5.19 inference(unit_resolution,[status(thm)],[7390, 7389, 7387])).
% 7.27/5.19 tff(7392,plain,
% 7.27/5.19 (((~v129(constB50, bitIndex0)) <=> v127(constB49, bitIndex0)) | v129(constB50, bitIndex0) | (~v127(constB49, bitIndex0))),
% 7.27/5.19 inference(tautology,[status(thm)],[])).
% 7.27/5.19 tff(7393,plain,
% 7.27/5.19 (v129(constB50, bitIndex0)),
% 7.27/5.19 inference(unit_resolution,[status(thm)],[7392, 7391, 7385])).
% 7.27/5.19 tff(7394,plain,
% 7.27/5.19 ((((~v90(constB50, bitIndex0)) <=> v129(constB50, bitIndex0)) | ((~v90(constB50, bitIndex2)) <=> v129(constB50, bitIndex2)) | ((~v90(constB50, bitIndex1)) <=> v129(constB50, bitIndex1))) | (~((~v90(constB50, bitIndex0)) <=> v129(constB50, bitIndex0)))),
% 7.27/5.19 inference(tautology,[status(thm)],[])).
% 7.27/5.19 tff(7395,plain,
% 7.27/5.19 (~((~v90(constB50, bitIndex0)) <=> v129(constB50, bitIndex0))),
% 7.27/5.19 inference(unit_resolution,[status(thm)],[7394, 7375])).
% 7.27/5.19 tff(7396,plain,
% 7.27/5.19 (((~v90(constB50, bitIndex0)) <=> v129(constB50, bitIndex0)) | v90(constB50, bitIndex0) | (~v129(constB50, bitIndex0))),
% 7.27/5.19 inference(tautology,[status(thm)],[])).
% 7.27/5.19 tff(7397,plain,
% 7.27/5.19 (v90(constB50, bitIndex0)),
% 7.27/5.19 inference(unit_resolution,[status(thm)],[7396, 7395, 7393])).
% 7.27/5.19 tff(7398,plain,
% 7.27/5.19 (((~v90(constB51, bitIndex0)) <=> v90(constB50, bitIndex0)) | v90(constB51, bitIndex0) | (~v90(constB50, bitIndex0))),
% 7.27/5.19 inference(tautology,[status(thm)],[])).
% 7.27/5.19 tff(7399,plain,
% 7.27/5.19 (v90(constB51, bitIndex0)),
% 7.27/5.19 inference(unit_resolution,[status(thm)],[7398, 7397, 7383])).
% 7.27/5.19 tff(7400,plain,
% 7.27/5.19 ((((~v90(constB51, bitIndex1)) <=> v90(constB50, bitIndex1)) | ((~v90(constB51, bitIndex2)) <=> v90(constB50, bitIndex2)) | ((~v90(constB51, bitIndex0)) <=> v90(constB50, bitIndex0))) | (~((~v90(constB51, bitIndex1)) <=> v90(constB50, bitIndex1)))),
% 7.27/5.19 inference(tautology,[status(thm)],[])).
% 7.27/5.19 tff(7401,plain,
% 7.27/5.19 (~((~v90(constB51, bitIndex1)) <=> v90(constB50, bitIndex1))),
% 7.27/5.19 inference(unit_resolution,[status(thm)],[7400, 1573])).
% 7.27/5.19 tff(7402,plain,
% 7.27/5.19 ((((~v129(constB50, bitIndex2)) <=> v127(constB49, bitIndex2)) | ((~v129(constB50, bitIndex1)) <=> v127(constB49, bitIndex1)) | ((~v129(constB50, bitIndex0)) <=> v127(constB49, bitIndex0))) | (~((~v129(constB50, bitIndex1)) <=> v127(constB49, bitIndex1)))),
% 7.27/5.19 inference(tautology,[status(thm)],[])).
% 7.27/5.19 tff(7403,plain,
% 7.27/5.19 (~((~v129(constB50, bitIndex1)) <=> v127(constB49, bitIndex1))),
% 7.27/5.19 inference(unit_resolution,[status(thm)],[7402, 1582])).
% 7.27/5.19 tff(7404,plain,
% 7.27/5.19 ((((~v127(constB49, bitIndex2)) <=> v130(constB49, bitIndex2)) | ((~v127(constB49, bitIndex1)) <=> v130(constB49, bitIndex1)) | ((~v127(constB49, bitIndex0)) <=> v130(constB49, bitIndex0))) | (~((~v127(constB49, bitIndex1)) <=> v130(constB49, bitIndex1)))),
% 7.27/5.19 inference(tautology,[status(thm)],[])).
% 7.27/5.19 tff(7405,plain,
% 7.27/5.19 (~((~v127(constB49, bitIndex1)) <=> v130(constB49, bitIndex1))),
% 7.27/5.19 inference(unit_resolution,[status(thm)],[7404, 1596])).
% 7.27/5.19 tff(7406,plain,
% 7.27/5.19 ((v130(constB49, bitIndex2) | (~v130(constB49, bitIndex1)) | (~v130(constB49, bitIndex0))) | v130(constB49, bitIndex1)),
% 7.27/5.19 inference(tautology,[status(thm)],[])).
% 7.27/5.19 tff(7407,plain,
% 7.27/5.19 (v130(constB49, bitIndex1)),
% 7.27/5.19 inference(unit_resolution,[status(thm)],[7406, 7271])).
% 7.27/5.19 tff(7408,plain,
% 7.27/5.19 (((~v127(constB49, bitIndex1)) <=> v130(constB49, bitIndex1)) | v127(constB49, bitIndex1) | (~v130(constB49, bitIndex1))),
% 7.27/5.19 inference(tautology,[status(thm)],[])).
% 7.27/5.19 tff(7409,plain,
% 7.27/5.19 (v127(constB49, bitIndex1)),
% 7.27/5.19 inference(unit_resolution,[status(thm)],[7408, 7407, 7405])).
% 7.27/5.19 tff(7410,plain,
% 7.27/5.19 (((~v129(constB50, bitIndex1)) <=> v127(constB49, bitIndex1)) | v129(constB50, bitIndex1) | (~v127(constB49, bitIndex1))),
% 7.27/5.19 inference(tautology,[status(thm)],[])).
% 7.27/5.19 tff(7411,plain,
% 7.27/5.19 (v129(constB50, bitIndex1)),
% 7.27/5.19 inference(unit_resolution,[status(thm)],[7410, 7409, 7403])).
% 7.27/5.19 tff(7412,plain,
% 7.27/5.19 ((((~v90(constB50, bitIndex0)) <=> v129(constB50, bitIndex0)) | ((~v90(constB50, bitIndex2)) <=> v129(constB50, bitIndex2)) | ((~v90(constB50, bitIndex1)) <=> v129(constB50, bitIndex1))) | (~((~v90(constB50, bitIndex1)) <=> v129(constB50, bitIndex1)))),
% 7.27/5.19 inference(tautology,[status(thm)],[])).
% 7.27/5.19 tff(7413,plain,
% 7.27/5.19 (~((~v90(constB50, bitIndex1)) <=> v129(constB50, bitIndex1))),
% 7.27/5.19 inference(unit_resolution,[status(thm)],[7412, 7375])).
% 7.27/5.19 tff(7414,plain,
% 7.27/5.19 (((~v90(constB50, bitIndex1)) <=> v129(constB50, bitIndex1)) | v90(constB50, bitIndex1) | (~v129(constB50, bitIndex1))),
% 7.27/5.19 inference(tautology,[status(thm)],[])).
% 7.27/5.19 tff(7415,plain,
% 7.27/5.19 (v90(constB50, bitIndex1)),
% 7.27/5.19 inference(unit_resolution,[status(thm)],[7414, 7413, 7411])).
% 7.27/5.19 tff(7416,plain,
% 7.27/5.19 (((~v90(constB51, bitIndex1)) <=> v90(constB50, bitIndex1)) | v90(constB51, bitIndex1) | (~v90(constB50, bitIndex1))),
% 7.27/5.19 inference(tautology,[status(thm)],[])).
% 7.27/5.19 tff(7417,plain,
% 7.27/5.19 (v90(constB51, bitIndex1)),
% 7.27/5.19 inference(unit_resolution,[status(thm)],[7416, 7415, 7401])).
% 7.27/5.19 tff(7418,plain,
% 7.27/5.19 ((~(v90(constB51, bitIndex2) | (~v90(constB51, bitIndex1)) | (~v90(constB51, bitIndex0)))) | v90(constB51, bitIndex2) | (~v90(constB51, bitIndex1)) | (~v90(constB51, bitIndex0))),
% 7.27/5.19 inference(tautology,[status(thm)],[])).
% 7.27/5.19 tff(7419,plain,
% 7.27/5.19 (~(v90(constB51, bitIndex2) | (~v90(constB51, bitIndex1)) | (~v90(constB51, bitIndex0)))),
% 7.27/5.19 inference(unit_resolution,[status(thm)],[7418, 7417, 7399, 7381])).
% 7.27/5.19 tff(7420,plain,
% 7.27/5.19 ((~(v122(constB51) <=> (~(v90(constB51, bitIndex2) | (~v90(constB51, bitIndex1)) | (~v90(constB51, bitIndex0)))))) | v122(constB51) | (v90(constB51, bitIndex2) | (~v90(constB51, bitIndex1)) | (~v90(constB51, bitIndex0)))),
% 7.27/5.19 inference(tautology,[status(thm)],[])).
% 7.27/5.19 tff(7421,plain,
% 7.27/5.19 (v122(constB51)),
% 7.27/5.19 inference(unit_resolution,[status(thm)],[7420, 7419, 1539])).
% 7.27/5.19 tff(7422,plain,
% 7.27/5.19 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB51)) | (~(v130(constB51, bitIndex1) | v130(constB51, bitIndex0) | (~v130(constB51, bitIndex2)))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | (~v122(constB51)) | (~(v130(constB51, bitIndex1) | v130(constB51, bitIndex0) | (~v130(constB51, bitIndex2)))))),
% 7.27/5.19 inference(rewrite,[status(thm)],[])).
% 7.27/5.19 tff(7423,plain,
% 7.27/5.19 (((~v122(constB51)) | (~(v130(constB51, bitIndex0) | v130(constB51, bitIndex1) | (~v130(constB51, bitIndex2))))) <=> ((~v122(constB51)) | (~(v130(constB51, bitIndex1) | v130(constB51, bitIndex0) | (~v130(constB51, bitIndex2)))))),
% 7.27/5.19 inference(rewrite,[status(thm)],[])).
% 7.27/5.19 tff(7424,plain,
% 7.27/5.19 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB51)) | (~(v130(constB51, bitIndex0) | v130(constB51, bitIndex1) | (~v130(constB51, bitIndex2)))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB51)) | (~(v130(constB51, bitIndex1) | v130(constB51, bitIndex0) | (~v130(constB51, bitIndex2))))))),
% 7.27/5.19 inference(monotonicity,[status(thm)],[7423])).
% 7.27/5.19 tff(7425,plain,
% 7.27/5.19 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB51)) | (~(v130(constB51, bitIndex0) | v130(constB51, bitIndex1) | (~v130(constB51, bitIndex2)))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | (~v122(constB51)) | (~(v130(constB51, bitIndex1) | v130(constB51, bitIndex0) | (~v130(constB51, bitIndex2)))))),
% 7.27/5.19 inference(transitivity,[status(thm)],[7424, 7422])).
% 7.27/5.19 tff(7426,plain,
% 7.27/5.19 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB51)) | (~(v130(constB51, bitIndex0) | v130(constB51, bitIndex1) | (~v130(constB51, bitIndex2)))))),
% 7.27/5.19 inference(quant_inst,[status(thm)],[])).
% 7.27/5.19 tff(7427,plain,
% 7.27/5.19 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | (~v122(constB51)) | (~(v130(constB51, bitIndex1) | v130(constB51, bitIndex0) | (~v130(constB51, bitIndex2))))),
% 7.27/5.19 inference(modus_ponens,[status(thm)],[7426, 7425])).
% 7.27/5.19 tff(7428,plain,
% 7.27/5.19 ((~v122(constB51)) | (~(v130(constB51, bitIndex1) | v130(constB51, bitIndex0) | (~v130(constB51, bitIndex2))))),
% 7.27/5.19 inference(unit_resolution,[status(thm)],[7427, 4223])).
% 7.27/5.19 tff(7429,plain,
% 7.27/5.19 (~(v130(constB51, bitIndex1) | v130(constB51, bitIndex0) | (~v130(constB51, bitIndex2)))),
% 7.27/5.19 inference(unit_resolution,[status(thm)],[7428, 7421])).
% 7.27/5.19 tff(7430,plain,
% 7.27/5.19 ((v130(constB51, bitIndex1) | v130(constB51, bitIndex0) | (~v130(constB51, bitIndex2))) | v130(constB51, bitIndex2)),
% 7.27/5.19 inference(tautology,[status(thm)],[])).
% 7.27/5.19 tff(7431,plain,
% 7.27/5.19 (v130(constB51, bitIndex2)),
% 7.27/5.19 inference(unit_resolution,[status(thm)],[7430, 7429])).
% 7.27/5.19 tff(7432,plain,
% 7.27/5.19 (((~v127(constB51, bitIndex2)) <=> v130(constB51, bitIndex2)) | v127(constB51, bitIndex2) | (~v130(constB51, bitIndex2))),
% 7.27/5.19 inference(tautology,[status(thm)],[])).
% 7.27/5.19 tff(7433,plain,
% 7.27/5.19 (v127(constB51, bitIndex2)),
% 7.27/5.19 inference(unit_resolution,[status(thm)],[7432, 7431, 1532])).
% 7.27/5.19 tff(7434,plain,
% 7.27/5.19 (((~v129(constB52, bitIndex2)) <=> v127(constB51, bitIndex2)) | v129(constB52, bitIndex2) | (~v127(constB51, bitIndex2))),
% 7.27/5.19 inference(tautology,[status(thm)],[])).
% 7.27/5.19 tff(7435,plain,
% 7.27/5.19 (v129(constB52, bitIndex2)),
% 7.27/5.19 inference(unit_resolution,[status(thm)],[7434, 7433, 1518])).
% 7.27/5.19 tff(7436,plain,
% 7.27/5.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB51, constB52)) | (v100(constB52) <=> (~((~v101(constB52)) | (~v110(constB52))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB51, constB52)) | (v100(constB52) <=> (~((~v101(constB52)) | (~v110(constB52))))))),
% 7.27/5.19 inference(rewrite,[status(thm)],[])).
% 7.27/5.19 tff(7437,plain,
% 7.27/5.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB51, constB52)) | (v100(constB52) <=> (~((~v101(constB52)) | (~v110(constB52))))))),
% 7.27/5.19 inference(quant_inst,[status(thm)],[])).
% 7.27/5.19 tff(7438,plain,
% 7.27/5.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB51, constB52)) | (v100(constB52) <=> (~((~v101(constB52)) | (~v110(constB52)))))),
% 7.27/5.19 inference(modus_ponens,[status(thm)],[7437, 7436])).
% 7.27/5.19 tff(7439,plain,
% 7.27/5.19 (v100(constB52) <=> (~((~v101(constB52)) | (~v110(constB52))))),
% 7.27/5.19 inference(unit_resolution,[status(thm)],[7438, 1512, 445])).
% 7.27/5.19 tff(7440,plain,
% 7.27/5.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB51, constB52)) | (v101(constB52) <=> (~((~v1(constB52)) | (~v102(constB52))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB51, constB52)) | (v101(constB52) <=> (~((~v1(constB52)) | (~v102(constB52))))))),
% 7.27/5.19 inference(rewrite,[status(thm)],[])).
% 7.27/5.19 tff(7441,plain,
% 7.27/5.19 (((~nextState(constB51, constB52)) | (v101(constB52) <=> (~((~v102(constB52)) | (~v1(constB52)))))) <=> ((~nextState(constB51, constB52)) | (v101(constB52) <=> (~((~v1(constB52)) | (~v102(constB52))))))),
% 7.27/5.19 inference(rewrite,[status(thm)],[])).
% 7.27/5.19 tff(7442,plain,
% 7.27/5.19 (((~![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) <=> (~((~v1(constB52)) | (~v102(constB52)))))))),
% 7.27/5.19 inference(monotonicity,[status(thm)],[7441])).
% 7.27/5.19 tff(7443,plain,
% 7.27/5.19 (((~![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) <=> (~((~v1(constB52)) | (~v102(constB52))))))),
% 7.27/5.19 inference(transitivity,[status(thm)],[7442, 7440])).
% 7.27/5.19 tff(7444,plain,
% 7.27/5.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB51, constB52)) | (v101(constB52) <=> (~((~v102(constB52)) | (~v1(constB52))))))),
% 7.27/5.19 inference(quant_inst,[status(thm)],[])).
% 7.27/5.19 tff(7445,plain,
% 7.27/5.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB51, constB52)) | (v101(constB52) <=> (~((~v1(constB52)) | (~v102(constB52)))))),
% 7.27/5.19 inference(modus_ponens,[status(thm)],[7444, 7443])).
% 7.27/5.19 tff(7446,plain,
% 7.27/5.19 (v101(constB52) <=> (~((~v1(constB52)) | (~v102(constB52))))),
% 7.27/5.19 inference(unit_resolution,[status(thm)],[7445, 1512, 465])).
% 7.27/5.19 tff(7447,plain,
% 7.27/5.19 (((~![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)))),
% 7.27/5.19 inference(rewrite,[status(thm)],[])).
% 7.27/5.19 tff(7448,plain,
% 7.27/5.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB51, constB52)) | ((~v102(constB52)) <=> v104(constB52)))),
% 7.27/5.19 inference(quant_inst,[status(thm)],[])).
% 7.27/5.19 tff(7449,plain,
% 7.27/5.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB51, constB52)) | ((~v102(constB52)) <=> v104(constB52))),
% 7.27/5.19 inference(modus_ponens,[status(thm)],[7448, 7447])).
% 7.27/5.19 tff(7450,plain,
% 7.27/5.19 ((~v102(constB52)) <=> v104(constB52)),
% 7.27/5.19 inference(unit_resolution,[status(thm)],[7449, 1512, 3244])).
% 7.27/5.19 tff(7451,plain,
% 7.27/5.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB51, constB52)) | (v104(constB52) <=> v1(constB51)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB51, constB52)) | (v104(constB52) <=> v1(constB51)))),
% 7.27/5.19 inference(rewrite,[status(thm)],[])).
% 7.27/5.19 tff(7452,plain,
% 7.27/5.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB51, constB52)) | (v104(constB52) <=> v1(constB51)))),
% 7.27/5.19 inference(quant_inst,[status(thm)],[])).
% 7.27/5.19 tff(7453,plain,
% 7.27/5.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB51, constB52)) | (v104(constB52) <=> v1(constB51))),
% 7.27/5.19 inference(modus_ponens,[status(thm)],[7452, 7451])).
% 7.27/5.19 tff(7454,plain,
% 7.27/5.19 (v104(constB52) <=> v1(constB51)),
% 7.27/5.19 inference(unit_resolution,[status(thm)],[7453, 1512, 3258])).
% 7.27/5.19 tff(7455,plain,
% 7.27/5.19 ((~(v104(constB52) <=> v1(constB51))) | (~v104(constB52)) | v1(constB51)),
% 7.27/5.19 inference(tautology,[status(thm)],[])).
% 7.27/5.19 tff(7456,plain,
% 7.27/5.19 ((~(v104(constB52) <=> v1(constB51))) | (~v104(constB52))),
% 7.27/5.19 inference(unit_resolution,[status(thm)],[7455, 1556])).
% 7.27/5.19 tff(7457,plain,
% 7.27/5.19 (~v104(constB52)),
% 7.27/5.19 inference(unit_resolution,[status(thm)],[7456, 7454])).
% 7.27/5.19 tff(7458,plain,
% 7.27/5.19 ((~((~v102(constB52)) <=> v104(constB52))) | v102(constB52) | v104(constB52)),
% 7.27/5.19 inference(tautology,[status(thm)],[])).
% 7.27/5.19 tff(7459,plain,
% 7.27/5.19 (v102(constB52)),
% 7.27/5.19 inference(unit_resolution,[status(thm)],[7458, 7457, 7450])).
% 7.27/5.19 tff(7460,plain,
% 7.27/5.19 (v1(constB52) <=> v1(constB52)),
% 7.27/5.19 inference(rewrite,[status(thm)],[])).
% 7.27/5.19 tff(7461,axiom,(v1(constB52)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_52')).
% 7.27/5.19 tff(7462,plain,
% 7.27/5.19 (v1(constB52)),
% 7.27/5.19 inference(modus_ponens,[status(thm)],[7461, 7460])).
% 7.27/5.19 tff(7463,plain,
% 7.27/5.19 ((~((~v1(constB52)) | (~v102(constB52)))) | (~v1(constB52)) | (~v102(constB52))),
% 7.27/5.19 inference(tautology,[status(thm)],[])).
% 7.27/5.19 tff(7464,plain,
% 7.27/5.19 ((~((~v1(constB52)) | (~v102(constB52)))) | (~v102(constB52))),
% 7.27/5.19 inference(unit_resolution,[status(thm)],[7463, 7462])).
% 7.27/5.19 tff(7465,plain,
% 7.27/5.19 (~((~v1(constB52)) | (~v102(constB52)))),
% 7.27/5.19 inference(unit_resolution,[status(thm)],[7464, 7459])).
% 7.27/5.19 tff(7466,plain,
% 7.27/5.19 ((~(v101(constB52) <=> (~((~v1(constB52)) | (~v102(constB52)))))) | v101(constB52) | ((~v1(constB52)) | (~v102(constB52)))),
% 7.27/5.19 inference(tautology,[status(thm)],[])).
% 7.27/5.19 tff(7467,plain,
% 7.27/5.19 (v101(constB52)),
% 7.27/5.19 inference(unit_resolution,[status(thm)],[7466, 7465, 7446])).
% 7.27/5.19 tff(7468,plain,
% 7.27/5.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB51, constB52)) | (v110(constB52) <=> v108(constB51)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB51, constB52)) | (v110(constB52) <=> v108(constB51)))),
% 7.27/5.19 inference(rewrite,[status(thm)],[])).
% 7.27/5.19 tff(7469,plain,
% 7.27/5.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB51, constB52)) | (v110(constB52) <=> v108(constB51)))),
% 7.27/5.19 inference(quant_inst,[status(thm)],[])).
% 7.27/5.19 tff(7470,plain,
% 7.27/5.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB51, constB52)) | (v110(constB52) <=> v108(constB51))),
% 7.27/5.19 inference(modus_ponens,[status(thm)],[7469, 7468])).
% 7.27/5.19 tff(7471,plain,
% 7.27/5.19 (v110(constB52) <=> v108(constB51)),
% 7.27/5.19 inference(unit_resolution,[status(thm)],[7470, 1512, 3285])).
% 7.27/5.19 tff(7472,plain,
% 7.27/5.19 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB51) <=> (v111(constB51) | v112(constB51)))),
% 7.27/5.19 inference(quant_inst,[status(thm)],[])).
% 7.27/5.19 tff(7473,plain,
% 7.27/5.19 (v108(constB51) <=> (v111(constB51) | v112(constB51))),
% 7.27/5.19 inference(unit_resolution,[status(thm)],[7472, 3296])).
% 7.27/5.19 tff(7474,plain,
% 7.27/5.19 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB51) <=> (~((~v113(constB51)) | (~v126(constB51)))))),
% 7.27/5.19 inference(quant_inst,[status(thm)],[])).
% 7.27/5.19 tff(7475,plain,
% 7.27/5.19 (v112(constB51) <=> (~((~v113(constB51)) | (~v126(constB51))))),
% 7.27/5.19 inference(unit_resolution,[status(thm)],[7474, 3308])).
% 7.27/5.19 tff(7476,plain,
% 7.27/5.19 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB51) <=> (v114(constB51) | v125(constB51)))),
% 7.27/5.19 inference(quant_inst,[status(thm)],[])).
% 7.27/5.19 tff(7477,plain,
% 7.27/5.19 (v113(constB51) <=> (v114(constB51) | v125(constB51))),
% 7.27/5.19 inference(unit_resolution,[status(thm)],[7476, 3317])).
% 7.27/5.19 tff(7478,plain,
% 7.27/5.19 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB51) <=> (v115(constB51) | v124(constB51)))),
% 7.27/5.19 inference(quant_inst,[status(thm)],[])).
% 7.27/5.19 tff(7479,plain,
% 7.27/5.19 (v114(constB51) <=> (v115(constB51) | v124(constB51))),
% 7.27/5.19 inference(unit_resolution,[status(thm)],[7478, 3326])).
% 7.27/5.19 tff(7480,plain,
% 7.27/5.19 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB51) <=> (v116(constB51) | v123(constB51)))),
% 7.27/5.19 inference(quant_inst,[status(thm)],[])).
% 7.27/5.19 tff(7481,plain,
% 7.27/5.19 (v115(constB51) <=> (v116(constB51) | v123(constB51))),
% 7.27/5.19 inference(unit_resolution,[status(thm)],[7480, 3335])).
% 7.27/5.19 tff(7482,plain,
% 7.27/5.19 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB51) <=> (v117(constB51) | v122(constB51)))),
% 7.27/5.19 inference(quant_inst,[status(thm)],[])).
% 7.27/5.19 tff(7483,plain,
% 7.27/5.19 (v116(constB51) <=> (v117(constB51) | v122(constB51))),
% 7.27/5.19 inference(unit_resolution,[status(thm)],[7482, 3344])).
% 7.27/5.19 tff(7484,plain,
% 7.27/5.19 ((v117(constB51) | v122(constB51)) | (~v122(constB51))),
% 7.27/5.19 inference(tautology,[status(thm)],[])).
% 7.27/5.19 tff(7485,plain,
% 7.27/5.19 (v117(constB51) | v122(constB51)),
% 7.27/5.19 inference(unit_resolution,[status(thm)],[7484, 7421])).
% 7.27/5.19 tff(7486,plain,
% 7.27/5.19 ((~(v116(constB51) <=> (v117(constB51) | v122(constB51)))) | v116(constB51) | (~(v117(constB51) | v122(constB51)))),
% 7.27/5.19 inference(tautology,[status(thm)],[])).
% 7.27/5.19 tff(7487,plain,
% 7.27/5.19 (v116(constB51)),
% 7.27/5.19 inference(unit_resolution,[status(thm)],[7486, 7485, 7483])).
% 7.27/5.19 tff(7488,plain,
% 7.27/5.19 ((v116(constB51) | v123(constB51)) | (~v116(constB51))),
% 7.27/5.19 inference(tautology,[status(thm)],[])).
% 7.27/5.19 tff(7489,plain,
% 7.27/5.19 (v116(constB51) | v123(constB51)),
% 7.27/5.19 inference(unit_resolution,[status(thm)],[7488, 7487])).
% 7.27/5.19 tff(7490,plain,
% 7.27/5.19 ((~(v115(constB51) <=> (v116(constB51) | v123(constB51)))) | v115(constB51) | (~(v116(constB51) | v123(constB51)))),
% 7.27/5.19 inference(tautology,[status(thm)],[])).
% 7.27/5.19 tff(7491,plain,
% 7.27/5.19 (v115(constB51)),
% 7.27/5.19 inference(unit_resolution,[status(thm)],[7490, 7489, 7481])).
% 7.27/5.19 tff(7492,plain,
% 7.27/5.19 ((v115(constB51) | v124(constB51)) | (~v115(constB51))),
% 7.27/5.19 inference(tautology,[status(thm)],[])).
% 7.27/5.19 tff(7493,plain,
% 7.27/5.19 (v115(constB51) | v124(constB51)),
% 7.27/5.19 inference(unit_resolution,[status(thm)],[7492, 7491])).
% 7.27/5.19 tff(7494,plain,
% 7.27/5.19 ((~(v114(constB51) <=> (v115(constB51) | v124(constB51)))) | v114(constB51) | (~(v115(constB51) | v124(constB51)))),
% 7.27/5.19 inference(tautology,[status(thm)],[])).
% 7.27/5.19 tff(7495,plain,
% 7.27/5.19 (v114(constB51)),
% 7.27/5.19 inference(unit_resolution,[status(thm)],[7494, 7493, 7479])).
% 7.27/5.19 tff(7496,plain,
% 7.27/5.19 ((v114(constB51) | v125(constB51)) | (~v114(constB51))),
% 7.27/5.19 inference(tautology,[status(thm)],[])).
% 7.27/5.19 tff(7497,plain,
% 7.27/5.19 (v114(constB51) | v125(constB51)),
% 7.27/5.19 inference(unit_resolution,[status(thm)],[7496, 7495])).
% 7.27/5.19 tff(7498,plain,
% 7.27/5.19 ((~(v113(constB51) <=> (v114(constB51) | v125(constB51)))) | v113(constB51) | (~(v114(constB51) | v125(constB51)))),
% 7.27/5.19 inference(tautology,[status(thm)],[])).
% 7.27/5.19 tff(7499,plain,
% 7.27/5.19 (v113(constB51)),
% 7.27/5.19 inference(unit_resolution,[status(thm)],[7498, 7497, 7477])).
% 7.27/5.19 tff(7500,plain,
% 7.27/5.19 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB51)) <=> v111(constB51))),
% 7.27/5.19 inference(quant_inst,[status(thm)],[])).
% 7.27/5.19 tff(7501,plain,
% 7.27/5.19 ((~v126(constB51)) <=> v111(constB51)),
% 7.27/5.19 inference(unit_resolution,[status(thm)],[7500, 3396])).
% 7.27/5.19 tff(7502,plain,
% 7.27/5.19 ((~((~v126(constB51)) <=> v111(constB51))) | v126(constB51) | v111(constB51)),
% 7.27/5.19 inference(tautology,[status(thm)],[])).
% 7.27/5.19 tff(7503,plain,
% 7.27/5.19 ((~((~v126(constB51)) <=> v111(constB51))) | v126(constB51)),
% 7.27/5.19 inference(unit_resolution,[status(thm)],[7502, 1525])).
% 7.27/5.19 tff(7504,plain,
% 7.27/5.19 (v126(constB51)),
% 7.27/5.19 inference(unit_resolution,[status(thm)],[7503, 7501])).
% 7.27/5.19 tff(7505,plain,
% 7.27/5.19 ((~((~v113(constB51)) | (~v126(constB51)))) | (~v113(constB51)) | (~v126(constB51))),
% 7.27/5.19 inference(tautology,[status(thm)],[])).
% 7.27/5.19 tff(7506,plain,
% 7.27/5.19 ((~((~v113(constB51)) | (~v126(constB51)))) | (~v113(constB51))),
% 7.27/5.19 inference(unit_resolution,[status(thm)],[7505, 7504])).
% 7.27/5.19 tff(7507,plain,
% 7.27/5.19 (~((~v113(constB51)) | (~v126(constB51)))),
% 7.27/5.19 inference(unit_resolution,[status(thm)],[7506, 7499])).
% 7.27/5.19 tff(7508,plain,
% 7.27/5.19 ((~(v112(constB51) <=> (~((~v113(constB51)) | (~v126(constB51)))))) | v112(constB51) | ((~v113(constB51)) | (~v126(constB51)))),
% 7.27/5.19 inference(tautology,[status(thm)],[])).
% 7.27/5.19 tff(7509,plain,
% 7.27/5.19 (v112(constB51)),
% 7.27/5.19 inference(unit_resolution,[status(thm)],[7508, 7507, 7475])).
% 7.27/5.19 tff(7510,plain,
% 7.27/5.19 ((v111(constB51) | v112(constB51)) | (~v112(constB51))),
% 7.27/5.19 inference(tautology,[status(thm)],[])).
% 7.27/5.19 tff(7511,plain,
% 7.27/5.19 (v111(constB51) | v112(constB51)),
% 7.27/5.19 inference(unit_resolution,[status(thm)],[7510, 7509])).
% 7.27/5.19 tff(7512,plain,
% 7.27/5.19 ((~(v108(constB51) <=> (v111(constB51) | v112(constB51)))) | v108(constB51) | (~(v111(constB51) | v112(constB51)))),
% 7.27/5.19 inference(tautology,[status(thm)],[])).
% 7.27/5.19 tff(7513,plain,
% 7.27/5.19 (v108(constB51)),
% 7.27/5.19 inference(unit_resolution,[status(thm)],[7512, 7511, 7473])).
% 7.27/5.19 tff(7514,plain,
% 7.27/5.19 ((~(v110(constB52) <=> v108(constB51))) | v110(constB52) | (~v108(constB51))),
% 7.27/5.19 inference(tautology,[status(thm)],[])).
% 7.27/5.19 tff(7515,plain,
% 7.27/5.19 (v110(constB52)),
% 7.27/5.19 inference(unit_resolution,[status(thm)],[7514, 7513, 7471])).
% 7.27/5.19 tff(7516,plain,
% 7.27/5.19 ((~((~v101(constB52)) | (~v110(constB52)))) | (~v101(constB52)) | (~v110(constB52))),
% 7.27/5.19 inference(tautology,[status(thm)],[])).
% 7.27/5.19 tff(7517,plain,
% 7.27/5.19 (~((~v101(constB52)) | (~v110(constB52)))),
% 7.27/5.19 inference(unit_resolution,[status(thm)],[7516, 7515, 7467])).
% 7.27/5.19 tff(7518,plain,
% 7.27/5.19 ((~(v100(constB52) <=> (~((~v101(constB52)) | (~v110(constB52)))))) | v100(constB52) | ((~v101(constB52)) | (~v110(constB52)))),
% 7.27/5.19 inference(tautology,[status(thm)],[])).
% 7.27/5.19 tff(7519,plain,
% 7.27/5.19 (v100(constB52)),
% 7.27/5.19 inference(unit_resolution,[status(thm)],[7518, 7517, 7439])).
% 7.27/5.19 tff(7520,plain,
% 7.27/5.19 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB52)) | (~(((~v90(constB52, bitIndex2)) <=> v129(constB52, bitIndex2)) | ((~v90(constB52, bitIndex1)) <=> v129(constB52, bitIndex1)) | ((~v90(constB52, bitIndex0)) <=> v129(constB52, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB52)) | (~(((~v90(constB52, bitIndex2)) <=> v129(constB52, bitIndex2)) | ((~v90(constB52, bitIndex1)) <=> v129(constB52, bitIndex1)) | ((~v90(constB52, bitIndex0)) <=> v129(constB52, bitIndex0)))))),
% 7.27/5.19 inference(rewrite,[status(thm)],[])).
% 7.27/5.19 tff(7521,plain,
% 7.27/5.19 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB52)) | (~(((~v90(constB52, bitIndex2)) <=> v129(constB52, bitIndex2)) | ((~v90(constB52, bitIndex1)) <=> v129(constB52, bitIndex1)) | ((~v90(constB52, bitIndex0)) <=> v129(constB52, bitIndex0)))))),
% 7.27/5.19 inference(quant_inst,[status(thm)],[])).
% 7.27/5.19 tff(7522,plain,
% 7.27/5.19 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB52)) | (~(((~v90(constB52, bitIndex2)) <=> v129(constB52, bitIndex2)) | ((~v90(constB52, bitIndex1)) <=> v129(constB52, bitIndex1)) | ((~v90(constB52, bitIndex0)) <=> v129(constB52, bitIndex0))))),
% 7.27/5.19 inference(modus_ponens,[status(thm)],[7521, 7520])).
% 7.27/5.19 tff(7523,plain,
% 7.27/5.19 ((~v100(constB52)) | (~(((~v90(constB52, bitIndex2)) <=> v129(constB52, bitIndex2)) | ((~v90(constB52, bitIndex1)) <=> v129(constB52, bitIndex1)) | ((~v90(constB52, bitIndex0)) <=> v129(constB52, bitIndex0))))),
% 7.27/5.19 inference(unit_resolution,[status(thm)],[7522, 3429])).
% 7.27/5.19 tff(7524,plain,
% 7.27/5.19 (~(((~v90(constB52, bitIndex2)) <=> v129(constB52, bitIndex2)) | ((~v90(constB52, bitIndex1)) <=> v129(constB52, bitIndex1)) | ((~v90(constB52, bitIndex0)) <=> v129(constB52, bitIndex0)))),
% 7.27/5.19 inference(unit_resolution,[status(thm)],[7523, 7519])).
% 7.27/5.19 tff(7525,plain,
% 7.27/5.19 ((((~v90(constB52, bitIndex2)) <=> v129(constB52, bitIndex2)) | ((~v90(constB52, bitIndex1)) <=> v129(constB52, bitIndex1)) | ((~v90(constB52, bitIndex0)) <=> v129(constB52, bitIndex0))) | (~((~v90(constB52, bitIndex2)) <=> v129(constB52, bitIndex2)))),
% 7.27/5.19 inference(tautology,[status(thm)],[])).
% 7.27/5.19 tff(7526,plain,
% 7.27/5.19 (~((~v90(constB52, bitIndex2)) <=> v129(constB52, bitIndex2))),
% 7.27/5.19 inference(unit_resolution,[status(thm)],[7525, 7524])).
% 7.27/5.19 tff(7527,plain,
% 7.27/5.19 (((~v90(constB52, bitIndex2)) <=> v129(constB52, bitIndex2)) | v90(constB52, bitIndex2) | (~v129(constB52, bitIndex2))),
% 7.27/5.19 inference(tautology,[status(thm)],[])).
% 7.27/5.19 tff(7528,plain,
% 7.27/5.19 (v90(constB52, bitIndex2)),
% 7.27/5.19 inference(unit_resolution,[status(thm)],[7527, 7526, 7435])).
% 7.27/5.19 tff(7529,plain,
% 7.27/5.19 (((~v90(constB53, bitIndex2)) <=> v90(constB52, bitIndex2)) | v90(constB53, bitIndex2) | (~v90(constB52, bitIndex2))),
% 7.27/5.19 inference(tautology,[status(thm)],[])).
% 7.27/5.19 tff(7530,plain,
% 7.27/5.19 (v90(constB53, bitIndex2)),
% 7.27/5.19 inference(unit_resolution,[status(thm)],[7529, 7528, 1509])).
% 7.27/5.19 tff(7531,plain,
% 7.27/5.19 ((((~v90(constB53, bitIndex1)) <=> v90(constB52, bitIndex1)) | ((~v90(constB53, bitIndex2)) <=> v90(constB52, bitIndex2)) | ((~v90(constB53, bitIndex0)) <=> v90(constB52, bitIndex0))) | (~((~v90(constB53, bitIndex0)) <=> v90(constB52, bitIndex0)))),
% 7.27/5.19 inference(tautology,[status(thm)],[])).
% 7.27/5.19 tff(7532,plain,
% 7.27/5.19 (~((~v90(constB53, bitIndex0)) <=> v90(constB52, bitIndex0))),
% 7.27/5.19 inference(unit_resolution,[status(thm)],[7531, 1507])).
% 7.27/5.19 tff(7533,plain,
% 7.27/5.19 ((((~v129(constB52, bitIndex2)) <=> v127(constB51, bitIndex2)) | ((~v129(constB52, bitIndex1)) <=> v127(constB51, bitIndex1)) | ((~v129(constB52, bitIndex0)) <=> v127(constB51, bitIndex0))) | (~((~v129(constB52, bitIndex0)) <=> v127(constB51, bitIndex0)))),
% 7.27/5.19 inference(tautology,[status(thm)],[])).
% 7.27/5.19 tff(7534,plain,
% 7.27/5.19 (~((~v129(constB52, bitIndex0)) <=> v127(constB51, bitIndex0))),
% 7.27/5.19 inference(unit_resolution,[status(thm)],[7533, 1516])).
% 7.27/5.19 tff(7535,plain,
% 7.27/5.19 ((((~v127(constB51, bitIndex2)) <=> v130(constB51, bitIndex2)) | ((~v127(constB51, bitIndex1)) <=> v130(constB51, bitIndex1)) | ((~v127(constB51, bitIndex0)) <=> v130(constB51, bitIndex0))) | (~((~v127(constB51, bitIndex0)) <=> v130(constB51, bitIndex0)))),
% 7.27/5.19 inference(tautology,[status(thm)],[])).
% 7.27/5.19 tff(7536,plain,
% 7.27/5.19 (~((~v127(constB51, bitIndex0)) <=> v130(constB51, bitIndex0))),
% 7.27/5.19 inference(unit_resolution,[status(thm)],[7535, 1530])).
% 7.27/5.19 tff(7537,plain,
% 7.27/5.19 ((v130(constB51, bitIndex1) | v130(constB51, bitIndex0) | (~v130(constB51, bitIndex2))) | (~v130(constB51, bitIndex0))),
% 7.27/5.19 inference(tautology,[status(thm)],[])).
% 7.27/5.19 tff(7538,plain,
% 7.27/5.19 (~v130(constB51, bitIndex0)),
% 7.27/5.19 inference(unit_resolution,[status(thm)],[7537, 7429])).
% 7.27/5.19 tff(7539,plain,
% 7.27/5.19 (((~v127(constB51, bitIndex0)) <=> v130(constB51, bitIndex0)) | (~v127(constB51, bitIndex0)) | v130(constB51, bitIndex0)),
% 7.27/5.19 inference(tautology,[status(thm)],[])).
% 7.27/5.19 tff(7540,plain,
% 7.27/5.19 (~v127(constB51, bitIndex0)),
% 7.27/5.19 inference(unit_resolution,[status(thm)],[7539, 7538, 7536])).
% 7.27/5.19 tff(7541,plain,
% 7.27/5.19 (((~v129(constB52, bitIndex0)) <=> v127(constB51, bitIndex0)) | (~v129(constB52, bitIndex0)) | v127(constB51, bitIndex0)),
% 7.27/5.20 inference(tautology,[status(thm)],[])).
% 7.27/5.20 tff(7542,plain,
% 7.27/5.20 (~v129(constB52, bitIndex0)),
% 7.27/5.20 inference(unit_resolution,[status(thm)],[7541, 7540, 7534])).
% 7.27/5.20 tff(7543,plain,
% 7.27/5.20 ((((~v90(constB52, bitIndex2)) <=> v129(constB52, bitIndex2)) | ((~v90(constB52, bitIndex1)) <=> v129(constB52, bitIndex1)) | ((~v90(constB52, bitIndex0)) <=> v129(constB52, bitIndex0))) | (~((~v90(constB52, bitIndex0)) <=> v129(constB52, bitIndex0)))),
% 7.27/5.20 inference(tautology,[status(thm)],[])).
% 7.27/5.20 tff(7544,plain,
% 7.27/5.20 (~((~v90(constB52, bitIndex0)) <=> v129(constB52, bitIndex0))),
% 7.27/5.20 inference(unit_resolution,[status(thm)],[7543, 7524])).
% 7.27/5.20 tff(7545,plain,
% 7.27/5.20 (((~v90(constB52, bitIndex0)) <=> v129(constB52, bitIndex0)) | (~v90(constB52, bitIndex0)) | v129(constB52, bitIndex0)),
% 7.27/5.20 inference(tautology,[status(thm)],[])).
% 7.27/5.20 tff(7546,plain,
% 7.27/5.20 (~v90(constB52, bitIndex0)),
% 7.27/5.20 inference(unit_resolution,[status(thm)],[7545, 7544, 7542])).
% 7.27/5.20 tff(7547,plain,
% 7.27/5.20 (((~v90(constB53, bitIndex0)) <=> v90(constB52, bitIndex0)) | (~v90(constB53, bitIndex0)) | v90(constB52, bitIndex0)),
% 7.27/5.20 inference(tautology,[status(thm)],[])).
% 7.27/5.20 tff(7548,plain,
% 7.27/5.20 (~v90(constB53, bitIndex0)),
% 7.27/5.20 inference(unit_resolution,[status(thm)],[7547, 7546, 7532])).
% 7.27/5.20 tff(7549,plain,
% 7.27/5.20 ((((~v90(constB53, bitIndex1)) <=> v90(constB52, bitIndex1)) | ((~v90(constB53, bitIndex2)) <=> v90(constB52, bitIndex2)) | ((~v90(constB53, bitIndex0)) <=> v90(constB52, bitIndex0))) | (~((~v90(constB53, bitIndex1)) <=> v90(constB52, bitIndex1)))),
% 7.27/5.20 inference(tautology,[status(thm)],[])).
% 7.27/5.20 tff(7550,plain,
% 7.27/5.20 (~((~v90(constB53, bitIndex1)) <=> v90(constB52, bitIndex1))),
% 7.27/5.20 inference(unit_resolution,[status(thm)],[7549, 1507])).
% 7.27/5.20 tff(7551,plain,
% 7.27/5.20 ((((~v129(constB52, bitIndex2)) <=> v127(constB51, bitIndex2)) | ((~v129(constB52, bitIndex1)) <=> v127(constB51, bitIndex1)) | ((~v129(constB52, bitIndex0)) <=> v127(constB51, bitIndex0))) | (~((~v129(constB52, bitIndex1)) <=> v127(constB51, bitIndex1)))),
% 7.27/5.20 inference(tautology,[status(thm)],[])).
% 7.27/5.20 tff(7552,plain,
% 7.27/5.20 (~((~v129(constB52, bitIndex1)) <=> v127(constB51, bitIndex1))),
% 7.27/5.20 inference(unit_resolution,[status(thm)],[7551, 1516])).
% 7.27/5.20 tff(7553,plain,
% 7.27/5.20 ((((~v127(constB51, bitIndex2)) <=> v130(constB51, bitIndex2)) | ((~v127(constB51, bitIndex1)) <=> v130(constB51, bitIndex1)) | ((~v127(constB51, bitIndex0)) <=> v130(constB51, bitIndex0))) | (~((~v127(constB51, bitIndex1)) <=> v130(constB51, bitIndex1)))),
% 7.27/5.20 inference(tautology,[status(thm)],[])).
% 7.27/5.20 tff(7554,plain,
% 7.27/5.20 (~((~v127(constB51, bitIndex1)) <=> v130(constB51, bitIndex1))),
% 7.27/5.20 inference(unit_resolution,[status(thm)],[7553, 1530])).
% 7.27/5.20 tff(7555,plain,
% 7.27/5.20 ((v130(constB51, bitIndex1) | v130(constB51, bitIndex0) | (~v130(constB51, bitIndex2))) | (~v130(constB51, bitIndex1))),
% 7.27/5.20 inference(tautology,[status(thm)],[])).
% 7.27/5.20 tff(7556,plain,
% 7.27/5.20 (~v130(constB51, bitIndex1)),
% 7.27/5.20 inference(unit_resolution,[status(thm)],[7555, 7429])).
% 7.27/5.20 tff(7557,plain,
% 7.27/5.20 (((~v127(constB51, bitIndex1)) <=> v130(constB51, bitIndex1)) | (~v127(constB51, bitIndex1)) | v130(constB51, bitIndex1)),
% 7.27/5.20 inference(tautology,[status(thm)],[])).
% 7.27/5.20 tff(7558,plain,
% 7.27/5.20 (~v127(constB51, bitIndex1)),
% 7.27/5.20 inference(unit_resolution,[status(thm)],[7557, 7556, 7554])).
% 7.27/5.20 tff(7559,plain,
% 7.27/5.20 (((~v129(constB52, bitIndex1)) <=> v127(constB51, bitIndex1)) | (~v129(constB52, bitIndex1)) | v127(constB51, bitIndex1)),
% 7.27/5.20 inference(tautology,[status(thm)],[])).
% 7.27/5.20 tff(7560,plain,
% 7.27/5.20 (~v129(constB52, bitIndex1)),
% 7.27/5.20 inference(unit_resolution,[status(thm)],[7559, 7558, 7552])).
% 7.27/5.20 tff(7561,plain,
% 7.27/5.20 ((((~v90(constB52, bitIndex2)) <=> v129(constB52, bitIndex2)) | ((~v90(constB52, bitIndex1)) <=> v129(constB52, bitIndex1)) | ((~v90(constB52, bitIndex0)) <=> v129(constB52, bitIndex0))) | (~((~v90(constB52, bitIndex1)) <=> v129(constB52, bitIndex1)))),
% 7.27/5.20 inference(tautology,[status(thm)],[])).
% 7.27/5.20 tff(7562,plain,
% 7.27/5.20 (~((~v90(constB52, bitIndex1)) <=> v129(constB52, bitIndex1))),
% 7.27/5.20 inference(unit_resolution,[status(thm)],[7561, 7524])).
% 7.27/5.20 tff(7563,plain,
% 7.27/5.20 (((~v90(constB52, bitIndex1)) <=> v129(constB52, bitIndex1)) | (~v90(constB52, bitIndex1)) | v129(constB52, bitIndex1)),
% 7.27/5.20 inference(tautology,[status(thm)],[])).
% 7.27/5.20 tff(7564,plain,
% 7.27/5.20 (~v90(constB52, bitIndex1)),
% 7.27/5.20 inference(unit_resolution,[status(thm)],[7563, 7562, 7560])).
% 7.27/5.20 tff(7565,plain,
% 7.27/5.20 (((~v90(constB53, bitIndex1)) <=> v90(constB52, bitIndex1)) | (~v90(constB53, bitIndex1)) | v90(constB52, bitIndex1)),
% 7.27/5.20 inference(tautology,[status(thm)],[])).
% 7.27/5.20 tff(7566,plain,
% 7.27/5.20 (~v90(constB53, bitIndex1)),
% 7.27/5.20 inference(unit_resolution,[status(thm)],[7565, 7564, 7550])).
% 7.27/5.20 tff(7567,plain,
% 7.27/5.20 ((~(v90(constB53, bitIndex1) | v90(constB53, bitIndex0) | (~v90(constB53, bitIndex2)))) | v90(constB53, bitIndex1) | v90(constB53, bitIndex0) | (~v90(constB53, bitIndex2))),
% 7.27/5.20 inference(tautology,[status(thm)],[])).
% 7.27/5.20 tff(7568,plain,
% 7.27/5.20 (~(v90(constB53, bitIndex1) | v90(constB53, bitIndex0) | (~v90(constB53, bitIndex2)))),
% 7.27/5.20 inference(unit_resolution,[status(thm)],[7567, 7566, 7548, 7530])).
% 7.27/5.20 tff(7569,plain,
% 7.27/5.20 ((~(v123(constB53) <=> (~(v90(constB53, bitIndex1) | v90(constB53, bitIndex0) | (~v90(constB53, bitIndex2)))))) | v123(constB53) | (v90(constB53, bitIndex1) | v90(constB53, bitIndex0) | (~v90(constB53, bitIndex2)))),
% 7.27/5.20 inference(tautology,[status(thm)],[])).
% 7.27/5.20 tff(7570,plain,
% 7.27/5.20 (v123(constB53)),
% 7.27/5.20 inference(unit_resolution,[status(thm)],[7569, 7568, 1473])).
% 7.27/5.20 tff(7571,plain,
% 7.27/5.20 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | ((~v123(constB53)) | (~(v130(constB53, bitIndex0) | (~v130(constB53, bitIndex2)) | (~v130(constB53, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | (~v123(constB53)) | (~(v130(constB53, bitIndex0) | (~v130(constB53, bitIndex2)) | (~v130(constB53, bitIndex1)))))),
% 7.27/5.20 inference(rewrite,[status(thm)],[])).
% 7.27/5.20 tff(7572,plain,
% 7.27/5.20 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | ((~v123(constB53)) | (~(v130(constB53, bitIndex0) | (~v130(constB53, bitIndex2)) | (~v130(constB53, bitIndex1)))))),
% 7.27/5.20 inference(quant_inst,[status(thm)],[])).
% 7.27/5.20 tff(7573,plain,
% 7.27/5.20 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | (~v123(constB53)) | (~(v130(constB53, bitIndex0) | (~v130(constB53, bitIndex2)) | (~v130(constB53, bitIndex1))))),
% 7.27/5.20 inference(modus_ponens,[status(thm)],[7572, 7571])).
% 7.27/5.20 tff(7574,plain,
% 7.27/5.20 ((~v123(constB53)) | (~(v130(constB53, bitIndex0) | (~v130(constB53, bitIndex2)) | (~v130(constB53, bitIndex1))))),
% 7.27/5.20 inference(unit_resolution,[status(thm)],[7573, 3496])).
% 7.27/5.20 tff(7575,plain,
% 7.27/5.20 (~(v130(constB53, bitIndex0) | (~v130(constB53, bitIndex2)) | (~v130(constB53, bitIndex1)))),
% 7.27/5.20 inference(unit_resolution,[status(thm)],[7574, 7570])).
% 7.27/5.20 tff(7576,plain,
% 7.27/5.20 ((v130(constB53, bitIndex0) | (~v130(constB53, bitIndex2)) | (~v130(constB53, bitIndex1))) | (~v130(constB53, bitIndex0))),
% 7.27/5.20 inference(tautology,[status(thm)],[])).
% 7.27/5.20 tff(7577,plain,
% 7.27/5.20 (~v130(constB53, bitIndex0)),
% 7.27/5.20 inference(unit_resolution,[status(thm)],[7576, 7575])).
% 7.27/5.20 tff(7578,plain,
% 7.27/5.20 (((~v127(constB53, bitIndex0)) <=> v130(constB53, bitIndex0)) | (~v127(constB53, bitIndex0)) | v130(constB53, bitIndex0)),
% 7.27/5.20 inference(tautology,[status(thm)],[])).
% 7.27/5.20 tff(7579,plain,
% 7.27/5.20 (~v127(constB53, bitIndex0)),
% 7.27/5.20 inference(unit_resolution,[status(thm)],[7578, 7577, 1466])).
% 7.27/5.20 tff(7580,plain,
% 7.27/5.20 (((~v129(constB54, bitIndex0)) <=> v127(constB53, bitIndex0)) | (~v129(constB54, bitIndex0)) | v127(constB53, bitIndex0)),
% 7.27/5.20 inference(tautology,[status(thm)],[])).
% 7.27/5.20 tff(7581,plain,
% 7.27/5.20 (~v129(constB54, bitIndex0)),
% 7.27/5.20 inference(unit_resolution,[status(thm)],[7580, 7579, 1452])).
% 7.27/5.20 tff(7582,plain,
% 7.27/5.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB53, constB54)) | (v100(constB54) <=> (~((~v101(constB54)) | (~v110(constB54))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB53, constB54)) | (v100(constB54) <=> (~((~v101(constB54)) | (~v110(constB54))))))),
% 7.27/5.20 inference(rewrite,[status(thm)],[])).
% 7.27/5.20 tff(7583,plain,
% 7.27/5.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB53, constB54)) | (v100(constB54) <=> (~((~v101(constB54)) | (~v110(constB54))))))),
% 7.27/5.20 inference(quant_inst,[status(thm)],[])).
% 7.27/5.20 tff(7584,plain,
% 7.27/5.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB53, constB54)) | (v100(constB54) <=> (~((~v101(constB54)) | (~v110(constB54)))))),
% 7.27/5.20 inference(modus_ponens,[status(thm)],[7583, 7582])).
% 7.27/5.20 tff(7585,plain,
% 7.27/5.20 (v100(constB54) <=> (~((~v101(constB54)) | (~v110(constB54))))),
% 7.27/5.20 inference(unit_resolution,[status(thm)],[7584, 1446, 445])).
% 7.27/5.20 tff(7586,plain,
% 7.27/5.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB53, constB54)) | (v101(constB54) <=> (~((~v1(constB54)) | (~v102(constB54))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB53, constB54)) | (v101(constB54) <=> (~((~v1(constB54)) | (~v102(constB54))))))),
% 7.27/5.20 inference(rewrite,[status(thm)],[])).
% 7.27/5.20 tff(7587,plain,
% 7.27/5.20 (((~nextState(constB53, constB54)) | (v101(constB54) <=> (~((~v102(constB54)) | (~v1(constB54)))))) <=> ((~nextState(constB53, constB54)) | (v101(constB54) <=> (~((~v1(constB54)) | (~v102(constB54))))))),
% 7.27/5.20 inference(rewrite,[status(thm)],[])).
% 7.27/5.20 tff(7588,plain,
% 7.27/5.20 (((~![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) <=> (~((~v1(constB54)) | (~v102(constB54)))))))),
% 7.27/5.20 inference(monotonicity,[status(thm)],[7587])).
% 7.27/5.20 tff(7589,plain,
% 7.27/5.20 (((~![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) <=> (~((~v1(constB54)) | (~v102(constB54))))))),
% 7.27/5.20 inference(transitivity,[status(thm)],[7588, 7586])).
% 7.27/5.20 tff(7590,plain,
% 7.27/5.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB53, constB54)) | (v101(constB54) <=> (~((~v102(constB54)) | (~v1(constB54))))))),
% 7.27/5.20 inference(quant_inst,[status(thm)],[])).
% 7.27/5.20 tff(7591,plain,
% 7.27/5.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB53, constB54)) | (v101(constB54) <=> (~((~v1(constB54)) | (~v102(constB54)))))),
% 7.27/5.20 inference(modus_ponens,[status(thm)],[7590, 7589])).
% 7.27/5.20 tff(7592,plain,
% 7.27/5.20 (v101(constB54) <=> (~((~v1(constB54)) | (~v102(constB54))))),
% 7.27/5.20 inference(unit_resolution,[status(thm)],[7591, 1446, 465])).
% 7.27/5.20 tff(7593,plain,
% 7.27/5.20 (((~![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)))),
% 7.27/5.20 inference(rewrite,[status(thm)],[])).
% 7.27/5.20 tff(7594,plain,
% 7.27/5.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB53, constB54)) | ((~v102(constB54)) <=> v104(constB54)))),
% 7.27/5.20 inference(quant_inst,[status(thm)],[])).
% 7.27/5.20 tff(7595,plain,
% 7.27/5.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB53, constB54)) | ((~v102(constB54)) <=> v104(constB54))),
% 7.27/5.20 inference(modus_ponens,[status(thm)],[7594, 7593])).
% 7.27/5.20 tff(7596,plain,
% 7.27/5.20 ((~v102(constB54)) <=> v104(constB54)),
% 7.27/5.20 inference(unit_resolution,[status(thm)],[7595, 1446, 3244])).
% 7.27/5.20 tff(7597,plain,
% 7.27/5.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB53, constB54)) | (v104(constB54) <=> v1(constB53)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB53, constB54)) | (v104(constB54) <=> v1(constB53)))),
% 7.27/5.20 inference(rewrite,[status(thm)],[])).
% 7.27/5.20 tff(7598,plain,
% 7.27/5.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB53, constB54)) | (v104(constB54) <=> v1(constB53)))),
% 7.27/5.20 inference(quant_inst,[status(thm)],[])).
% 7.27/5.20 tff(7599,plain,
% 7.27/5.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB53, constB54)) | (v104(constB54) <=> v1(constB53))),
% 7.27/5.20 inference(modus_ponens,[status(thm)],[7598, 7597])).
% 7.27/5.20 tff(7600,plain,
% 7.27/5.20 (v104(constB54) <=> v1(constB53)),
% 7.27/5.20 inference(unit_resolution,[status(thm)],[7599, 1446, 3258])).
% 7.27/5.20 tff(7601,plain,
% 7.27/5.20 ((~(v104(constB54) <=> v1(constB53))) | (~v104(constB54)) | v1(constB53)),
% 7.27/5.20 inference(tautology,[status(thm)],[])).
% 7.27/5.20 tff(7602,plain,
% 7.27/5.20 ((~(v104(constB54) <=> v1(constB53))) | (~v104(constB54))),
% 7.27/5.20 inference(unit_resolution,[status(thm)],[7601, 1490])).
% 7.27/5.20 tff(7603,plain,
% 7.27/5.20 (~v104(constB54)),
% 7.27/5.20 inference(unit_resolution,[status(thm)],[7602, 7600])).
% 7.27/5.20 tff(7604,plain,
% 7.27/5.20 ((~((~v102(constB54)) <=> v104(constB54))) | v102(constB54) | v104(constB54)),
% 7.27/5.20 inference(tautology,[status(thm)],[])).
% 7.27/5.20 tff(7605,plain,
% 7.27/5.20 (v102(constB54)),
% 7.27/5.20 inference(unit_resolution,[status(thm)],[7604, 7603, 7596])).
% 7.27/5.20 tff(7606,plain,
% 7.27/5.20 (v1(constB54) <=> v1(constB54)),
% 7.27/5.20 inference(rewrite,[status(thm)],[])).
% 7.27/5.20 tff(7607,axiom,(v1(constB54)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_54')).
% 7.27/5.20 tff(7608,plain,
% 7.27/5.20 (v1(constB54)),
% 7.27/5.20 inference(modus_ponens,[status(thm)],[7607, 7606])).
% 7.27/5.20 tff(7609,plain,
% 7.27/5.20 ((~((~v1(constB54)) | (~v102(constB54)))) | (~v1(constB54)) | (~v102(constB54))),
% 7.27/5.20 inference(tautology,[status(thm)],[])).
% 7.27/5.20 tff(7610,plain,
% 7.27/5.20 ((~((~v1(constB54)) | (~v102(constB54)))) | (~v102(constB54))),
% 7.27/5.20 inference(unit_resolution,[status(thm)],[7609, 7608])).
% 7.27/5.20 tff(7611,plain,
% 7.27/5.20 (~((~v1(constB54)) | (~v102(constB54)))),
% 7.27/5.20 inference(unit_resolution,[status(thm)],[7610, 7605])).
% 7.27/5.20 tff(7612,plain,
% 7.27/5.20 ((~(v101(constB54) <=> (~((~v1(constB54)) | (~v102(constB54)))))) | v101(constB54) | ((~v1(constB54)) | (~v102(constB54)))),
% 7.27/5.20 inference(tautology,[status(thm)],[])).
% 7.27/5.20 tff(7613,plain,
% 7.27/5.20 (v101(constB54)),
% 7.27/5.20 inference(unit_resolution,[status(thm)],[7612, 7611, 7592])).
% 7.27/5.20 tff(7614,plain,
% 7.27/5.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB53, constB54)) | (v110(constB54) <=> v108(constB53)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB53, constB54)) | (v110(constB54) <=> v108(constB53)))),
% 7.27/5.20 inference(rewrite,[status(thm)],[])).
% 7.27/5.20 tff(7615,plain,
% 7.27/5.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB53, constB54)) | (v110(constB54) <=> v108(constB53)))),
% 7.27/5.20 inference(quant_inst,[status(thm)],[])).
% 7.27/5.20 tff(7616,plain,
% 7.27/5.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB53, constB54)) | (v110(constB54) <=> v108(constB53))),
% 7.29/5.20 inference(modus_ponens,[status(thm)],[7615, 7614])).
% 7.29/5.20 tff(7617,plain,
% 7.29/5.20 (v110(constB54) <=> v108(constB53)),
% 7.29/5.20 inference(unit_resolution,[status(thm)],[7616, 1446, 3285])).
% 7.29/5.20 tff(7618,plain,
% 7.29/5.20 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB53) <=> (v111(constB53) | v112(constB53)))),
% 7.29/5.20 inference(quant_inst,[status(thm)],[])).
% 7.29/5.20 tff(7619,plain,
% 7.29/5.20 (v108(constB53) <=> (v111(constB53) | v112(constB53))),
% 7.29/5.20 inference(unit_resolution,[status(thm)],[7618, 3296])).
% 7.29/5.20 tff(7620,plain,
% 7.29/5.20 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB53) <=> (~((~v113(constB53)) | (~v126(constB53)))))),
% 7.29/5.20 inference(quant_inst,[status(thm)],[])).
% 7.29/5.20 tff(7621,plain,
% 7.29/5.20 (v112(constB53) <=> (~((~v113(constB53)) | (~v126(constB53))))),
% 7.29/5.20 inference(unit_resolution,[status(thm)],[7620, 3308])).
% 7.29/5.20 tff(7622,plain,
% 7.29/5.20 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB53) <=> (v114(constB53) | v125(constB53)))),
% 7.29/5.20 inference(quant_inst,[status(thm)],[])).
% 7.29/5.20 tff(7623,plain,
% 7.29/5.20 (v113(constB53) <=> (v114(constB53) | v125(constB53))),
% 7.29/5.20 inference(unit_resolution,[status(thm)],[7622, 3317])).
% 7.29/5.20 tff(7624,plain,
% 7.29/5.20 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB53) <=> (v115(constB53) | v124(constB53)))),
% 7.29/5.20 inference(quant_inst,[status(thm)],[])).
% 7.29/5.20 tff(7625,plain,
% 7.29/5.20 (v114(constB53) <=> (v115(constB53) | v124(constB53))),
% 7.29/5.20 inference(unit_resolution,[status(thm)],[7624, 3326])).
% 7.29/5.20 tff(7626,plain,
% 7.29/5.20 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB53) <=> (v116(constB53) | v123(constB53)))),
% 7.29/5.20 inference(quant_inst,[status(thm)],[])).
% 7.29/5.20 tff(7627,plain,
% 7.29/5.20 (v115(constB53) <=> (v116(constB53) | v123(constB53))),
% 7.29/5.20 inference(unit_resolution,[status(thm)],[7626, 3335])).
% 7.29/5.20 tff(7628,plain,
% 7.29/5.20 ((v116(constB53) | v123(constB53)) | (~v123(constB53))),
% 7.29/5.20 inference(tautology,[status(thm)],[])).
% 7.29/5.20 tff(7629,plain,
% 7.29/5.20 (v116(constB53) | v123(constB53)),
% 7.29/5.20 inference(unit_resolution,[status(thm)],[7628, 7570])).
% 7.29/5.20 tff(7630,plain,
% 7.29/5.20 ((~(v115(constB53) <=> (v116(constB53) | v123(constB53)))) | v115(constB53) | (~(v116(constB53) | v123(constB53)))),
% 7.29/5.20 inference(tautology,[status(thm)],[])).
% 7.29/5.20 tff(7631,plain,
% 7.29/5.20 (v115(constB53)),
% 7.29/5.20 inference(unit_resolution,[status(thm)],[7630, 7629, 7627])).
% 7.29/5.20 tff(7632,plain,
% 7.29/5.20 ((v115(constB53) | v124(constB53)) | (~v115(constB53))),
% 7.29/5.20 inference(tautology,[status(thm)],[])).
% 7.29/5.20 tff(7633,plain,
% 7.29/5.20 (v115(constB53) | v124(constB53)),
% 7.29/5.20 inference(unit_resolution,[status(thm)],[7632, 7631])).
% 7.29/5.20 tff(7634,plain,
% 7.29/5.20 ((~(v114(constB53) <=> (v115(constB53) | v124(constB53)))) | v114(constB53) | (~(v115(constB53) | v124(constB53)))),
% 7.29/5.20 inference(tautology,[status(thm)],[])).
% 7.29/5.20 tff(7635,plain,
% 7.29/5.20 (v114(constB53)),
% 7.29/5.20 inference(unit_resolution,[status(thm)],[7634, 7633, 7625])).
% 7.29/5.20 tff(7636,plain,
% 7.29/5.20 ((v114(constB53) | v125(constB53)) | (~v114(constB53))),
% 7.29/5.20 inference(tautology,[status(thm)],[])).
% 7.29/5.20 tff(7637,plain,
% 7.29/5.20 (v114(constB53) | v125(constB53)),
% 7.29/5.20 inference(unit_resolution,[status(thm)],[7636, 7635])).
% 7.29/5.20 tff(7638,plain,
% 7.29/5.20 ((~(v113(constB53) <=> (v114(constB53) | v125(constB53)))) | v113(constB53) | (~(v114(constB53) | v125(constB53)))),
% 7.29/5.20 inference(tautology,[status(thm)],[])).
% 7.29/5.20 tff(7639,plain,
% 7.29/5.20 (v113(constB53)),
% 7.29/5.20 inference(unit_resolution,[status(thm)],[7638, 7637, 7623])).
% 7.29/5.20 tff(7640,plain,
% 7.29/5.20 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB53)) <=> v111(constB53))),
% 7.29/5.20 inference(quant_inst,[status(thm)],[])).
% 7.29/5.20 tff(7641,plain,
% 7.29/5.20 ((~v126(constB53)) <=> v111(constB53)),
% 7.29/5.20 inference(unit_resolution,[status(thm)],[7640, 3396])).
% 7.29/5.20 tff(7642,plain,
% 7.29/5.20 ((~((~v126(constB53)) <=> v111(constB53))) | v126(constB53) | v111(constB53)),
% 7.29/5.20 inference(tautology,[status(thm)],[])).
% 7.29/5.20 tff(7643,plain,
% 7.29/5.20 ((~((~v126(constB53)) <=> v111(constB53))) | v126(constB53)),
% 7.29/5.20 inference(unit_resolution,[status(thm)],[7642, 1459])).
% 7.29/5.20 tff(7644,plain,
% 7.29/5.20 (v126(constB53)),
% 7.29/5.20 inference(unit_resolution,[status(thm)],[7643, 7641])).
% 7.29/5.20 tff(7645,plain,
% 7.29/5.20 ((~((~v113(constB53)) | (~v126(constB53)))) | (~v113(constB53)) | (~v126(constB53))),
% 7.29/5.20 inference(tautology,[status(thm)],[])).
% 7.29/5.20 tff(7646,plain,
% 7.29/5.20 ((~((~v113(constB53)) | (~v126(constB53)))) | (~v113(constB53))),
% 7.29/5.20 inference(unit_resolution,[status(thm)],[7645, 7644])).
% 7.29/5.20 tff(7647,plain,
% 7.29/5.20 (~((~v113(constB53)) | (~v126(constB53)))),
% 7.29/5.20 inference(unit_resolution,[status(thm)],[7646, 7639])).
% 7.29/5.20 tff(7648,plain,
% 7.29/5.20 ((~(v112(constB53) <=> (~((~v113(constB53)) | (~v126(constB53)))))) | v112(constB53) | ((~v113(constB53)) | (~v126(constB53)))),
% 7.29/5.20 inference(tautology,[status(thm)],[])).
% 7.29/5.20 tff(7649,plain,
% 7.29/5.20 (v112(constB53)),
% 7.29/5.20 inference(unit_resolution,[status(thm)],[7648, 7647, 7621])).
% 7.29/5.20 tff(7650,plain,
% 7.29/5.20 ((v111(constB53) | v112(constB53)) | (~v112(constB53))),
% 7.29/5.20 inference(tautology,[status(thm)],[])).
% 7.29/5.20 tff(7651,plain,
% 7.29/5.20 (v111(constB53) | v112(constB53)),
% 7.29/5.20 inference(unit_resolution,[status(thm)],[7650, 7649])).
% 7.29/5.20 tff(7652,plain,
% 7.29/5.20 ((~(v108(constB53) <=> (v111(constB53) | v112(constB53)))) | v108(constB53) | (~(v111(constB53) | v112(constB53)))),
% 7.29/5.20 inference(tautology,[status(thm)],[])).
% 7.29/5.20 tff(7653,plain,
% 7.29/5.20 (v108(constB53)),
% 7.29/5.20 inference(unit_resolution,[status(thm)],[7652, 7651, 7619])).
% 7.29/5.20 tff(7654,plain,
% 7.29/5.20 ((~(v110(constB54) <=> v108(constB53))) | v110(constB54) | (~v108(constB53))),
% 7.29/5.20 inference(tautology,[status(thm)],[])).
% 7.29/5.20 tff(7655,plain,
% 7.29/5.20 (v110(constB54)),
% 7.29/5.20 inference(unit_resolution,[status(thm)],[7654, 7653, 7617])).
% 7.29/5.20 tff(7656,plain,
% 7.29/5.20 ((~((~v101(constB54)) | (~v110(constB54)))) | (~v101(constB54)) | (~v110(constB54))),
% 7.29/5.20 inference(tautology,[status(thm)],[])).
% 7.29/5.20 tff(7657,plain,
% 7.29/5.20 (~((~v101(constB54)) | (~v110(constB54)))),
% 7.29/5.20 inference(unit_resolution,[status(thm)],[7656, 7655, 7613])).
% 7.29/5.20 tff(7658,plain,
% 7.29/5.20 ((~(v100(constB54) <=> (~((~v101(constB54)) | (~v110(constB54)))))) | v100(constB54) | ((~v101(constB54)) | (~v110(constB54)))),
% 7.29/5.20 inference(tautology,[status(thm)],[])).
% 7.29/5.20 tff(7659,plain,
% 7.29/5.20 (v100(constB54)),
% 7.29/5.20 inference(unit_resolution,[status(thm)],[7658, 7657, 7585])).
% 7.29/5.20 tff(7660,plain,
% 7.29/5.20 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB54)) | (~(((~v90(constB54, bitIndex0)) <=> v129(constB54, bitIndex0)) | ((~v90(constB54, bitIndex2)) <=> v129(constB54, bitIndex2)) | ((~v90(constB54, bitIndex1)) <=> v129(constB54, bitIndex1)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB54)) | (~(((~v90(constB54, bitIndex0)) <=> v129(constB54, bitIndex0)) | ((~v90(constB54, bitIndex2)) <=> v129(constB54, bitIndex2)) | ((~v90(constB54, bitIndex1)) <=> v129(constB54, bitIndex1)))))),
% 7.29/5.20 inference(rewrite,[status(thm)],[])).
% 7.29/5.20 tff(7661,plain,
% 7.29/5.20 (((~v100(constB54)) | (~(((~v90(constB54, bitIndex2)) <=> v129(constB54, bitIndex2)) | ((~v90(constB54, bitIndex1)) <=> v129(constB54, bitIndex1)) | ((~v90(constB54, bitIndex0)) <=> v129(constB54, bitIndex0))))) <=> ((~v100(constB54)) | (~(((~v90(constB54, bitIndex0)) <=> v129(constB54, bitIndex0)) | ((~v90(constB54, bitIndex2)) <=> v129(constB54, bitIndex2)) | ((~v90(constB54, bitIndex1)) <=> v129(constB54, bitIndex1)))))),
% 7.29/5.20 inference(rewrite,[status(thm)],[])).
% 7.29/5.20 tff(7662,plain,
% 7.29/5.20 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB54)) | (~(((~v90(constB54, bitIndex2)) <=> v129(constB54, bitIndex2)) | ((~v90(constB54, bitIndex1)) <=> v129(constB54, bitIndex1)) | ((~v90(constB54, bitIndex0)) <=> v129(constB54, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB54)) | (~(((~v90(constB54, bitIndex0)) <=> v129(constB54, bitIndex0)) | ((~v90(constB54, bitIndex2)) <=> v129(constB54, bitIndex2)) | ((~v90(constB54, bitIndex1)) <=> v129(constB54, bitIndex1))))))),
% 7.29/5.20 inference(monotonicity,[status(thm)],[7661])).
% 7.29/5.20 tff(7663,plain,
% 7.29/5.20 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB54)) | (~(((~v90(constB54, bitIndex2)) <=> v129(constB54, bitIndex2)) | ((~v90(constB54, bitIndex1)) <=> v129(constB54, bitIndex1)) | ((~v90(constB54, bitIndex0)) <=> v129(constB54, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB54)) | (~(((~v90(constB54, bitIndex0)) <=> v129(constB54, bitIndex0)) | ((~v90(constB54, bitIndex2)) <=> v129(constB54, bitIndex2)) | ((~v90(constB54, bitIndex1)) <=> v129(constB54, bitIndex1)))))),
% 7.29/5.20 inference(transitivity,[status(thm)],[7662, 7660])).
% 7.29/5.20 tff(7664,plain,
% 7.29/5.20 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB54)) | (~(((~v90(constB54, bitIndex2)) <=> v129(constB54, bitIndex2)) | ((~v90(constB54, bitIndex1)) <=> v129(constB54, bitIndex1)) | ((~v90(constB54, bitIndex0)) <=> v129(constB54, bitIndex0)))))),
% 7.29/5.20 inference(quant_inst,[status(thm)],[])).
% 7.29/5.20 tff(7665,plain,
% 7.29/5.20 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB54)) | (~(((~v90(constB54, bitIndex0)) <=> v129(constB54, bitIndex0)) | ((~v90(constB54, bitIndex2)) <=> v129(constB54, bitIndex2)) | ((~v90(constB54, bitIndex1)) <=> v129(constB54, bitIndex1))))),
% 7.29/5.20 inference(modus_ponens,[status(thm)],[7664, 7663])).
% 7.29/5.20 tff(7666,plain,
% 7.29/5.20 ((~v100(constB54)) | (~(((~v90(constB54, bitIndex0)) <=> v129(constB54, bitIndex0)) | ((~v90(constB54, bitIndex2)) <=> v129(constB54, bitIndex2)) | ((~v90(constB54, bitIndex1)) <=> v129(constB54, bitIndex1))))),
% 7.29/5.20 inference(unit_resolution,[status(thm)],[7665, 3429])).
% 7.29/5.20 tff(7667,plain,
% 7.29/5.20 (~(((~v90(constB54, bitIndex0)) <=> v129(constB54, bitIndex0)) | ((~v90(constB54, bitIndex2)) <=> v129(constB54, bitIndex2)) | ((~v90(constB54, bitIndex1)) <=> v129(constB54, bitIndex1)))),
% 7.29/5.20 inference(unit_resolution,[status(thm)],[7666, 7659])).
% 7.29/5.20 tff(7668,plain,
% 7.29/5.20 ((((~v90(constB54, bitIndex0)) <=> v129(constB54, bitIndex0)) | ((~v90(constB54, bitIndex2)) <=> v129(constB54, bitIndex2)) | ((~v90(constB54, bitIndex1)) <=> v129(constB54, bitIndex1))) | (~((~v90(constB54, bitIndex0)) <=> v129(constB54, bitIndex0)))),
% 7.29/5.20 inference(tautology,[status(thm)],[])).
% 7.29/5.20 tff(7669,plain,
% 7.29/5.20 (~((~v90(constB54, bitIndex0)) <=> v129(constB54, bitIndex0))),
% 7.29/5.20 inference(unit_resolution,[status(thm)],[7668, 7667])).
% 7.29/5.20 tff(7670,plain,
% 7.29/5.20 (((~v90(constB54, bitIndex0)) <=> v129(constB54, bitIndex0)) | (~v90(constB54, bitIndex0)) | v129(constB54, bitIndex0)),
% 7.29/5.20 inference(tautology,[status(thm)],[])).
% 7.29/5.20 tff(7671,plain,
% 7.29/5.20 (~v90(constB54, bitIndex0)),
% 7.29/5.20 inference(unit_resolution,[status(thm)],[7670, 7669, 7581])).
% 7.29/5.20 tff(7672,plain,
% 7.29/5.20 (((~v90(constB55, bitIndex0)) <=> v90(constB54, bitIndex0)) | (~v90(constB55, bitIndex0)) | v90(constB54, bitIndex0)),
% 7.29/5.20 inference(tautology,[status(thm)],[])).
% 7.29/5.20 tff(7673,plain,
% 7.29/5.20 (~v90(constB55, bitIndex0)),
% 7.29/5.20 inference(unit_resolution,[status(thm)],[7672, 7671, 1443])).
% 7.29/5.20 tff(7674,plain,
% 7.29/5.20 ((v90(constB55, bitIndex1) | v90(constB55, bitIndex2) | (~v90(constB55, bitIndex0))) | v90(constB55, bitIndex0)),
% 7.29/5.20 inference(tautology,[status(thm)],[])).
% 7.29/5.20 tff(7675,plain,
% 7.29/5.20 (v90(constB55, bitIndex1) | v90(constB55, bitIndex2) | (~v90(constB55, bitIndex0))),
% 7.29/5.20 inference(unit_resolution,[status(thm)],[7674, 7673])).
% 7.29/5.20 tff(7676,plain,
% 7.29/5.20 ((~(v120(constB55) <=> (~(v90(constB55, bitIndex1) | v90(constB55, bitIndex2) | (~v90(constB55, bitIndex0)))))) | (~v120(constB55)) | (~(v90(constB55, bitIndex1) | v90(constB55, bitIndex2) | (~v90(constB55, bitIndex0))))),
% 7.29/5.20 inference(tautology,[status(thm)],[])).
% 7.29/5.20 tff(7677,plain,
% 7.29/5.20 (~v120(constB55)),
% 7.29/5.20 inference(unit_resolution,[status(thm)],[7676, 7675, 1407])).
% 7.29/5.20 tff(7678,plain,
% 7.29/5.20 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB55) <=> (~(v90(constB55, bitIndex1) | (~v90(constB55, bitIndex2)) | (~v90(constB55, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB55) <=> (~(v90(constB55, bitIndex1) | (~v90(constB55, bitIndex2)) | (~v90(constB55, bitIndex0))))))),
% 7.29/5.21 inference(rewrite,[status(thm)],[])).
% 7.29/5.21 tff(7679,plain,
% 7.29/5.21 ((v124(constB55) <=> (~(v90(constB55, bitIndex1) | (~v90(constB55, bitIndex0)) | (~v90(constB55, bitIndex2))))) <=> (v124(constB55) <=> (~(v90(constB55, bitIndex1) | (~v90(constB55, bitIndex2)) | (~v90(constB55, bitIndex0)))))),
% 7.29/5.21 inference(rewrite,[status(thm)],[])).
% 7.29/5.21 tff(7680,plain,
% 7.29/5.21 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB55) <=> (~(v90(constB55, bitIndex1) | (~v90(constB55, bitIndex0)) | (~v90(constB55, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB55) <=> (~(v90(constB55, bitIndex1) | (~v90(constB55, bitIndex2)) | (~v90(constB55, bitIndex0))))))),
% 7.29/5.21 inference(monotonicity,[status(thm)],[7679])).
% 7.29/5.21 tff(7681,plain,
% 7.29/5.21 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB55) <=> (~(v90(constB55, bitIndex1) | (~v90(constB55, bitIndex0)) | (~v90(constB55, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB55) <=> (~(v90(constB55, bitIndex1) | (~v90(constB55, bitIndex2)) | (~v90(constB55, bitIndex0))))))),
% 7.29/5.21 inference(transitivity,[status(thm)],[7680, 7678])).
% 7.29/5.21 tff(7682,plain,
% 7.29/5.21 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB55) <=> (~(v90(constB55, bitIndex1) | (~v90(constB55, bitIndex0)) | (~v90(constB55, bitIndex2)))))),
% 7.29/5.21 inference(quant_inst,[status(thm)],[])).
% 7.29/5.21 tff(7683,plain,
% 7.29/5.21 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB55) <=> (~(v90(constB55, bitIndex1) | (~v90(constB55, bitIndex2)) | (~v90(constB55, bitIndex0)))))),
% 7.29/5.21 inference(modus_ponens,[status(thm)],[7682, 7681])).
% 7.29/5.21 tff(7684,plain,
% 7.29/5.21 (v124(constB55) <=> (~(v90(constB55, bitIndex1) | (~v90(constB55, bitIndex2)) | (~v90(constB55, bitIndex0))))),
% 7.29/5.21 inference(unit_resolution,[status(thm)],[7683, 3613])).
% 7.29/5.21 tff(7685,plain,
% 7.29/5.21 ((v90(constB55, bitIndex1) | (~v90(constB55, bitIndex2)) | (~v90(constB55, bitIndex0))) | v90(constB55, bitIndex0)),
% 7.29/5.21 inference(tautology,[status(thm)],[])).
% 7.29/5.21 tff(7686,plain,
% 7.29/5.21 (v90(constB55, bitIndex1) | (~v90(constB55, bitIndex2)) | (~v90(constB55, bitIndex0))),
% 7.29/5.21 inference(unit_resolution,[status(thm)],[7685, 7673])).
% 7.29/5.21 tff(7687,plain,
% 7.29/5.21 ((~(v124(constB55) <=> (~(v90(constB55, bitIndex1) | (~v90(constB55, bitIndex2)) | (~v90(constB55, bitIndex0)))))) | (~v124(constB55)) | (~(v90(constB55, bitIndex1) | (~v90(constB55, bitIndex2)) | (~v90(constB55, bitIndex0))))),
% 7.29/5.21 inference(tautology,[status(thm)],[])).
% 7.29/5.21 tff(7688,plain,
% 7.29/5.21 (~v124(constB55)),
% 7.29/5.21 inference(unit_resolution,[status(thm)],[7687, 7686, 7684])).
% 7.29/5.21 tff(7689,plain,
% 7.29/5.21 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB55) <=> (~(v90(constB55, bitIndex1) | v90(constB55, bitIndex0) | (~v90(constB55, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB55) <=> (~(v90(constB55, bitIndex1) | v90(constB55, bitIndex0) | (~v90(constB55, bitIndex2))))))),
% 7.29/5.21 inference(rewrite,[status(thm)],[])).
% 7.29/5.21 tff(7690,plain,
% 7.29/5.21 ((v123(constB55) <=> (~(v90(constB55, bitIndex0) | v90(constB55, bitIndex1) | (~v90(constB55, bitIndex2))))) <=> (v123(constB55) <=> (~(v90(constB55, bitIndex1) | v90(constB55, bitIndex0) | (~v90(constB55, bitIndex2)))))),
% 7.29/5.21 inference(rewrite,[status(thm)],[])).
% 7.29/5.21 tff(7691,plain,
% 7.29/5.21 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB55) <=> (~(v90(constB55, bitIndex0) | v90(constB55, bitIndex1) | (~v90(constB55, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB55) <=> (~(v90(constB55, bitIndex1) | v90(constB55, bitIndex0) | (~v90(constB55, bitIndex2))))))),
% 7.29/5.21 inference(monotonicity,[status(thm)],[7690])).
% 7.29/5.21 tff(7692,plain,
% 7.29/5.21 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB55) <=> (~(v90(constB55, bitIndex0) | v90(constB55, bitIndex1) | (~v90(constB55, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB55) <=> (~(v90(constB55, bitIndex1) | v90(constB55, bitIndex0) | (~v90(constB55, bitIndex2))))))),
% 7.29/5.21 inference(transitivity,[status(thm)],[7691, 7689])).
% 7.29/5.21 tff(7693,plain,
% 7.29/5.21 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB55) <=> (~(v90(constB55, bitIndex0) | v90(constB55, bitIndex1) | (~v90(constB55, bitIndex2)))))),
% 7.29/5.21 inference(quant_inst,[status(thm)],[])).
% 7.29/5.21 tff(7694,plain,
% 7.29/5.21 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB55) <=> (~(v90(constB55, bitIndex1) | v90(constB55, bitIndex0) | (~v90(constB55, bitIndex2)))))),
% 7.29/5.21 inference(modus_ponens,[status(thm)],[7693, 7692])).
% 7.29/5.21 tff(7695,plain,
% 7.29/5.21 (v123(constB55) <=> (~(v90(constB55, bitIndex1) | v90(constB55, bitIndex0) | (~v90(constB55, bitIndex2))))),
% 7.29/5.21 inference(unit_resolution,[status(thm)],[7694, 800])).
% 7.29/5.21 tff(7696,plain,
% 7.29/5.21 ((((~v90(constB55, bitIndex1)) <=> v90(constB54, bitIndex1)) | ((~v90(constB55, bitIndex2)) <=> v90(constB54, bitIndex2)) | ((~v90(constB55, bitIndex0)) <=> v90(constB54, bitIndex0))) | (~((~v90(constB55, bitIndex1)) <=> v90(constB54, bitIndex1)))),
% 7.29/5.21 inference(tautology,[status(thm)],[])).
% 7.29/5.21 tff(7697,plain,
% 7.29/5.21 (~((~v90(constB55, bitIndex1)) <=> v90(constB54, bitIndex1))),
% 7.29/5.21 inference(unit_resolution,[status(thm)],[7696, 1441])).
% 7.29/5.21 tff(7698,plain,
% 7.29/5.21 ((((~v129(constB54, bitIndex2)) <=> v127(constB53, bitIndex2)) | ((~v129(constB54, bitIndex1)) <=> v127(constB53, bitIndex1)) | ((~v129(constB54, bitIndex0)) <=> v127(constB53, bitIndex0))) | (~((~v129(constB54, bitIndex1)) <=> v127(constB53, bitIndex1)))),
% 7.29/5.21 inference(tautology,[status(thm)],[])).
% 7.29/5.21 tff(7699,plain,
% 7.29/5.21 (~((~v129(constB54, bitIndex1)) <=> v127(constB53, bitIndex1))),
% 7.29/5.21 inference(unit_resolution,[status(thm)],[7698, 1450])).
% 7.29/5.21 tff(7700,plain,
% 7.29/5.21 ((((~v127(constB53, bitIndex2)) <=> v130(constB53, bitIndex2)) | ((~v127(constB53, bitIndex1)) <=> v130(constB53, bitIndex1)) | ((~v127(constB53, bitIndex0)) <=> v130(constB53, bitIndex0))) | (~((~v127(constB53, bitIndex1)) <=> v130(constB53, bitIndex1)))),
% 7.29/5.21 inference(tautology,[status(thm)],[])).
% 7.29/5.21 tff(7701,plain,
% 7.29/5.21 (~((~v127(constB53, bitIndex1)) <=> v130(constB53, bitIndex1))),
% 7.29/5.21 inference(unit_resolution,[status(thm)],[7700, 1464])).
% 7.29/5.21 tff(7702,plain,
% 7.29/5.21 ((v130(constB53, bitIndex0) | (~v130(constB53, bitIndex2)) | (~v130(constB53, bitIndex1))) | v130(constB53, bitIndex1)),
% 7.29/5.21 inference(tautology,[status(thm)],[])).
% 7.29/5.21 tff(7703,plain,
% 7.29/5.21 (v130(constB53, bitIndex1)),
% 7.29/5.21 inference(unit_resolution,[status(thm)],[7702, 7575])).
% 7.29/5.21 tff(7704,plain,
% 7.29/5.21 (((~v127(constB53, bitIndex1)) <=> v130(constB53, bitIndex1)) | v127(constB53, bitIndex1) | (~v130(constB53, bitIndex1))),
% 7.29/5.21 inference(tautology,[status(thm)],[])).
% 7.29/5.21 tff(7705,plain,
% 7.29/5.21 (v127(constB53, bitIndex1)),
% 7.29/5.21 inference(unit_resolution,[status(thm)],[7704, 7703, 7701])).
% 7.29/5.21 tff(7706,plain,
% 7.29/5.21 (((~v129(constB54, bitIndex1)) <=> v127(constB53, bitIndex1)) | v129(constB54, bitIndex1) | (~v127(constB53, bitIndex1))),
% 7.29/5.21 inference(tautology,[status(thm)],[])).
% 7.29/5.21 tff(7707,plain,
% 7.29/5.21 (v129(constB54, bitIndex1)),
% 7.29/5.21 inference(unit_resolution,[status(thm)],[7706, 7705, 7699])).
% 7.29/5.21 tff(7708,plain,
% 7.29/5.21 ((((~v90(constB54, bitIndex0)) <=> v129(constB54, bitIndex0)) | ((~v90(constB54, bitIndex2)) <=> v129(constB54, bitIndex2)) | ((~v90(constB54, bitIndex1)) <=> v129(constB54, bitIndex1))) | (~((~v90(constB54, bitIndex1)) <=> v129(constB54, bitIndex1)))),
% 7.29/5.21 inference(tautology,[status(thm)],[])).
% 7.29/5.21 tff(7709,plain,
% 7.29/5.21 (~((~v90(constB54, bitIndex1)) <=> v129(constB54, bitIndex1))),
% 7.29/5.21 inference(unit_resolution,[status(thm)],[7708, 7667])).
% 7.29/5.21 tff(7710,plain,
% 7.29/5.21 (((~v90(constB54, bitIndex1)) <=> v129(constB54, bitIndex1)) | v90(constB54, bitIndex1) | (~v129(constB54, bitIndex1))),
% 7.29/5.21 inference(tautology,[status(thm)],[])).
% 7.29/5.21 tff(7711,plain,
% 7.29/5.21 (v90(constB54, bitIndex1)),
% 7.29/5.21 inference(unit_resolution,[status(thm)],[7710, 7709, 7707])).
% 7.29/5.21 tff(7712,plain,
% 7.29/5.21 (((~v90(constB55, bitIndex1)) <=> v90(constB54, bitIndex1)) | v90(constB55, bitIndex1) | (~v90(constB54, bitIndex1))),
% 7.29/5.21 inference(tautology,[status(thm)],[])).
% 7.29/5.21 tff(7713,plain,
% 7.29/5.21 (v90(constB55, bitIndex1)),
% 7.29/5.21 inference(unit_resolution,[status(thm)],[7712, 7711, 7697])).
% 7.29/5.21 tff(7714,plain,
% 7.29/5.21 ((v90(constB55, bitIndex1) | v90(constB55, bitIndex0) | (~v90(constB55, bitIndex2))) | (~v90(constB55, bitIndex1))),
% 7.29/5.21 inference(tautology,[status(thm)],[])).
% 7.29/5.21 tff(7715,plain,
% 7.29/5.21 (v90(constB55, bitIndex1) | v90(constB55, bitIndex0) | (~v90(constB55, bitIndex2))),
% 7.29/5.21 inference(unit_resolution,[status(thm)],[7714, 7713])).
% 7.29/5.21 tff(7716,plain,
% 7.29/5.21 ((~(v123(constB55) <=> (~(v90(constB55, bitIndex1) | v90(constB55, bitIndex0) | (~v90(constB55, bitIndex2)))))) | (~v123(constB55)) | (~(v90(constB55, bitIndex1) | v90(constB55, bitIndex0) | (~v90(constB55, bitIndex2))))),
% 7.29/5.21 inference(tautology,[status(thm)],[])).
% 7.29/5.21 tff(7717,plain,
% 7.29/5.21 (~v123(constB55)),
% 7.29/5.21 inference(unit_resolution,[status(thm)],[7716, 7715, 7695])).
% 7.29/5.21 tff(7718,plain,
% 7.29/5.21 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB55) <=> (~(v90(constB55, bitIndex2) | (~v90(constB55, bitIndex1)) | (~v90(constB55, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB55) <=> (~(v90(constB55, bitIndex2) | (~v90(constB55, bitIndex1)) | (~v90(constB55, bitIndex0))))))),
% 7.29/5.21 inference(rewrite,[status(thm)],[])).
% 7.29/5.21 tff(7719,plain,
% 7.29/5.21 ((v122(constB55) <=> (~(v90(constB55, bitIndex2) | (~v90(constB55, bitIndex0)) | (~v90(constB55, bitIndex1))))) <=> (v122(constB55) <=> (~(v90(constB55, bitIndex2) | (~v90(constB55, bitIndex1)) | (~v90(constB55, bitIndex0)))))),
% 7.29/5.21 inference(rewrite,[status(thm)],[])).
% 7.29/5.21 tff(7720,plain,
% 7.29/5.21 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB55) <=> (~(v90(constB55, bitIndex2) | (~v90(constB55, bitIndex0)) | (~v90(constB55, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB55) <=> (~(v90(constB55, bitIndex2) | (~v90(constB55, bitIndex1)) | (~v90(constB55, bitIndex0))))))),
% 7.29/5.21 inference(monotonicity,[status(thm)],[7719])).
% 7.29/5.21 tff(7721,plain,
% 7.29/5.21 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB55) <=> (~(v90(constB55, bitIndex2) | (~v90(constB55, bitIndex0)) | (~v90(constB55, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB55) <=> (~(v90(constB55, bitIndex2) | (~v90(constB55, bitIndex1)) | (~v90(constB55, bitIndex0))))))),
% 7.29/5.21 inference(transitivity,[status(thm)],[7720, 7718])).
% 7.29/5.21 tff(7722,plain,
% 7.29/5.21 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB55) <=> (~(v90(constB55, bitIndex2) | (~v90(constB55, bitIndex0)) | (~v90(constB55, bitIndex1)))))),
% 7.29/5.21 inference(quant_inst,[status(thm)],[])).
% 7.29/5.21 tff(7723,plain,
% 7.29/5.21 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB55) <=> (~(v90(constB55, bitIndex2) | (~v90(constB55, bitIndex1)) | (~v90(constB55, bitIndex0)))))),
% 7.29/5.21 inference(modus_ponens,[status(thm)],[7722, 7721])).
% 7.29/5.21 tff(7724,plain,
% 7.29/5.21 (v122(constB55) <=> (~(v90(constB55, bitIndex2) | (~v90(constB55, bitIndex1)) | (~v90(constB55, bitIndex0))))),
% 7.29/5.21 inference(unit_resolution,[status(thm)],[7723, 879])).
% 7.29/5.21 tff(7725,plain,
% 7.29/5.21 ((v90(constB55, bitIndex2) | (~v90(constB55, bitIndex1)) | (~v90(constB55, bitIndex0))) | v90(constB55, bitIndex0)),
% 7.29/5.21 inference(tautology,[status(thm)],[])).
% 7.29/5.21 tff(7726,plain,
% 7.29/5.21 (v90(constB55, bitIndex2) | (~v90(constB55, bitIndex1)) | (~v90(constB55, bitIndex0))),
% 7.29/5.21 inference(unit_resolution,[status(thm)],[7725, 7673])).
% 7.29/5.21 tff(7727,plain,
% 7.29/5.21 ((~(v122(constB55) <=> (~(v90(constB55, bitIndex2) | (~v90(constB55, bitIndex1)) | (~v90(constB55, bitIndex0)))))) | (~v122(constB55)) | (~(v90(constB55, bitIndex2) | (~v90(constB55, bitIndex1)) | (~v90(constB55, bitIndex0))))),
% 7.29/5.21 inference(tautology,[status(thm)],[])).
% 7.29/5.21 tff(7728,plain,
% 7.29/5.21 (~v122(constB55)),
% 7.29/5.21 inference(unit_resolution,[status(thm)],[7727, 7726, 7724])).
% 7.29/5.21 tff(7729,plain,
% 7.29/5.21 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB55) <=> (~(v90(constB55, bitIndex2) | v90(constB55, bitIndex0) | (~v90(constB55, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB55) <=> (~(v90(constB55, bitIndex2) | v90(constB55, bitIndex0) | (~v90(constB55, bitIndex1))))))),
% 7.29/5.21 inference(rewrite,[status(thm)],[])).
% 7.29/5.21 tff(7730,plain,
% 7.29/5.21 ((v121(constB55) <=> (~(v90(constB55, bitIndex0) | v90(constB55, bitIndex2) | (~v90(constB55, bitIndex1))))) <=> (v121(constB55) <=> (~(v90(constB55, bitIndex2) | v90(constB55, bitIndex0) | (~v90(constB55, bitIndex1)))))),
% 7.29/5.21 inference(rewrite,[status(thm)],[])).
% 7.29/5.21 tff(7731,plain,
% 7.29/5.21 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB55) <=> (~(v90(constB55, bitIndex0) | v90(constB55, bitIndex2) | (~v90(constB55, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB55) <=> (~(v90(constB55, bitIndex2) | v90(constB55, bitIndex0) | (~v90(constB55, bitIndex1))))))),
% 7.29/5.21 inference(monotonicity,[status(thm)],[7730])).
% 7.29/5.21 tff(7732,plain,
% 7.29/5.21 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB55) <=> (~(v90(constB55, bitIndex0) | v90(constB55, bitIndex2) | (~v90(constB55, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB55) <=> (~(v90(constB55, bitIndex2) | v90(constB55, bitIndex0) | (~v90(constB55, bitIndex1))))))),
% 7.29/5.21 inference(transitivity,[status(thm)],[7731, 7729])).
% 7.29/5.21 tff(7733,plain,
% 7.29/5.21 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB55) <=> (~(v90(constB55, bitIndex0) | v90(constB55, bitIndex2) | (~v90(constB55, bitIndex1)))))),
% 7.29/5.21 inference(quant_inst,[status(thm)],[])).
% 7.29/5.21 tff(7734,plain,
% 7.29/5.21 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB55) <=> (~(v90(constB55, bitIndex2) | v90(constB55, bitIndex0) | (~v90(constB55, bitIndex1)))))),
% 7.29/5.21 inference(modus_ponens,[status(thm)],[7733, 7732])).
% 7.29/5.21 tff(7735,plain,
% 7.29/5.21 (v121(constB55) <=> (~(v90(constB55, bitIndex2) | v90(constB55, bitIndex0) | (~v90(constB55, bitIndex1))))),
% 7.29/5.21 inference(unit_resolution,[status(thm)],[7734, 586])).
% 7.29/5.21 tff(7736,plain,
% 7.29/5.21 ((((~v90(constB55, bitIndex1)) <=> v90(constB54, bitIndex1)) | ((~v90(constB55, bitIndex2)) <=> v90(constB54, bitIndex2)) | ((~v90(constB55, bitIndex0)) <=> v90(constB54, bitIndex0))) | (~((~v90(constB55, bitIndex2)) <=> v90(constB54, bitIndex2)))),
% 7.29/5.21 inference(tautology,[status(thm)],[])).
% 7.29/5.21 tff(7737,plain,
% 7.29/5.21 (~((~v90(constB55, bitIndex2)) <=> v90(constB54, bitIndex2))),
% 7.29/5.21 inference(unit_resolution,[status(thm)],[7736, 1441])).
% 7.29/5.21 tff(7738,plain,
% 7.29/5.21 ((((~v129(constB54, bitIndex2)) <=> v127(constB53, bitIndex2)) | ((~v129(constB54, bitIndex1)) <=> v127(constB53, bitIndex1)) | ((~v129(constB54, bitIndex0)) <=> v127(constB53, bitIndex0))) | (~((~v129(constB54, bitIndex2)) <=> v127(constB53, bitIndex2)))),
% 7.29/5.21 inference(tautology,[status(thm)],[])).
% 7.29/5.21 tff(7739,plain,
% 7.29/5.21 (~((~v129(constB54, bitIndex2)) <=> v127(constB53, bitIndex2))),
% 7.29/5.21 inference(unit_resolution,[status(thm)],[7738, 1450])).
% 7.29/5.21 tff(7740,plain,
% 7.29/5.21 ((((~v127(constB53, bitIndex2)) <=> v130(constB53, bitIndex2)) | ((~v127(constB53, bitIndex1)) <=> v130(constB53, bitIndex1)) | ((~v127(constB53, bitIndex0)) <=> v130(constB53, bitIndex0))) | (~((~v127(constB53, bitIndex2)) <=> v130(constB53, bitIndex2)))),
% 7.29/5.21 inference(tautology,[status(thm)],[])).
% 7.29/5.21 tff(7741,plain,
% 7.29/5.21 (~((~v127(constB53, bitIndex2)) <=> v130(constB53, bitIndex2))),
% 7.29/5.21 inference(unit_resolution,[status(thm)],[7740, 1464])).
% 7.29/5.21 tff(7742,plain,
% 7.29/5.21 ((v130(constB53, bitIndex0) | (~v130(constB53, bitIndex2)) | (~v130(constB53, bitIndex1))) | v130(constB53, bitIndex2)),
% 7.29/5.21 inference(tautology,[status(thm)],[])).
% 7.29/5.21 tff(7743,plain,
% 7.29/5.21 (v130(constB53, bitIndex2)),
% 7.29/5.21 inference(unit_resolution,[status(thm)],[7742, 7575])).
% 7.29/5.21 tff(7744,plain,
% 7.29/5.21 (((~v127(constB53, bitIndex2)) <=> v130(constB53, bitIndex2)) | v127(constB53, bitIndex2) | (~v130(constB53, bitIndex2))),
% 7.29/5.21 inference(tautology,[status(thm)],[])).
% 7.29/5.21 tff(7745,plain,
% 7.29/5.21 (v127(constB53, bitIndex2)),
% 7.29/5.21 inference(unit_resolution,[status(thm)],[7744, 7743, 7741])).
% 7.29/5.21 tff(7746,plain,
% 7.29/5.21 (((~v129(constB54, bitIndex2)) <=> v127(constB53, bitIndex2)) | v129(constB54, bitIndex2) | (~v127(constB53, bitIndex2))),
% 7.29/5.21 inference(tautology,[status(thm)],[])).
% 7.29/5.21 tff(7747,plain,
% 7.29/5.21 (v129(constB54, bitIndex2)),
% 7.29/5.21 inference(unit_resolution,[status(thm)],[7746, 7745, 7739])).
% 7.29/5.21 tff(7748,plain,
% 7.29/5.21 ((((~v90(constB54, bitIndex0)) <=> v129(constB54, bitIndex0)) | ((~v90(constB54, bitIndex2)) <=> v129(constB54, bitIndex2)) | ((~v90(constB54, bitIndex1)) <=> v129(constB54, bitIndex1))) | (~((~v90(constB54, bitIndex2)) <=> v129(constB54, bitIndex2)))),
% 7.29/5.21 inference(tautology,[status(thm)],[])).
% 7.29/5.21 tff(7749,plain,
% 7.29/5.21 (~((~v90(constB54, bitIndex2)) <=> v129(constB54, bitIndex2))),
% 7.29/5.21 inference(unit_resolution,[status(thm)],[7748, 7667])).
% 7.29/5.21 tff(7750,plain,
% 7.29/5.21 (((~v90(constB54, bitIndex2)) <=> v129(constB54, bitIndex2)) | v90(constB54, bitIndex2) | (~v129(constB54, bitIndex2))),
% 7.29/5.21 inference(tautology,[status(thm)],[])).
% 7.29/5.21 tff(7751,plain,
% 7.29/5.21 (v90(constB54, bitIndex2)),
% 7.29/5.21 inference(unit_resolution,[status(thm)],[7750, 7749, 7747])).
% 7.29/5.21 tff(7752,plain,
% 7.29/5.21 (((~v90(constB55, bitIndex2)) <=> v90(constB54, bitIndex2)) | v90(constB55, bitIndex2) | (~v90(constB54, bitIndex2))),
% 7.29/5.21 inference(tautology,[status(thm)],[])).
% 7.29/5.21 tff(7753,plain,
% 7.29/5.21 (v90(constB55, bitIndex2)),
% 7.29/5.21 inference(unit_resolution,[status(thm)],[7752, 7751, 7737])).
% 7.29/5.21 tff(7754,plain,
% 7.29/5.21 ((v90(constB55, bitIndex2) | v90(constB55, bitIndex0) | (~v90(constB55, bitIndex1))) | (~v90(constB55, bitIndex2))),
% 7.29/5.21 inference(tautology,[status(thm)],[])).
% 7.29/5.21 tff(7755,plain,
% 7.29/5.21 (v90(constB55, bitIndex2) | v90(constB55, bitIndex0) | (~v90(constB55, bitIndex1))),
% 7.29/5.21 inference(unit_resolution,[status(thm)],[7754, 7753])).
% 7.29/5.21 tff(7756,plain,
% 7.29/5.21 ((~(v121(constB55) <=> (~(v90(constB55, bitIndex2) | v90(constB55, bitIndex0) | (~v90(constB55, bitIndex1)))))) | (~v121(constB55)) | (~(v90(constB55, bitIndex2) | v90(constB55, bitIndex0) | (~v90(constB55, bitIndex1))))),
% 7.29/5.21 inference(tautology,[status(thm)],[])).
% 7.29/5.21 tff(7757,plain,
% 7.29/5.21 (~v121(constB55)),
% 7.29/5.21 inference(unit_resolution,[status(thm)],[7756, 7755, 7735])).
% 7.29/5.21 tff(7758,plain,
% 7.29/5.21 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB55) <=> (~(v90(constB55, bitIndex0) | v90(constB55, bitIndex1) | v90(constB55, bitIndex2))))),
% 7.29/5.21 inference(quant_inst,[status(thm)],[])).
% 7.29/5.21 tff(7759,plain,
% 7.29/5.21 (v119(constB55) <=> (~(v90(constB55, bitIndex0) | v90(constB55, bitIndex1) | v90(constB55, bitIndex2)))),
% 7.29/5.21 inference(unit_resolution,[status(thm)],[7758, 1085])).
% 7.29/5.21 tff(7760,plain,
% 7.29/5.21 ((v90(constB55, bitIndex0) | v90(constB55, bitIndex1) | v90(constB55, bitIndex2)) | (~v90(constB55, bitIndex2))),
% 7.29/5.21 inference(tautology,[status(thm)],[])).
% 7.29/5.21 tff(7761,plain,
% 7.29/5.21 (v90(constB55, bitIndex0) | v90(constB55, bitIndex1) | v90(constB55, bitIndex2)),
% 7.29/5.21 inference(unit_resolution,[status(thm)],[7760, 7753])).
% 7.29/5.21 tff(7762,plain,
% 7.29/5.21 ((~(v119(constB55) <=> (~(v90(constB55, bitIndex0) | v90(constB55, bitIndex1) | v90(constB55, bitIndex2))))) | (~v119(constB55)) | (~(v90(constB55, bitIndex0) | v90(constB55, bitIndex1) | v90(constB55, bitIndex2)))),
% 7.29/5.21 inference(tautology,[status(thm)],[])).
% 7.29/5.21 tff(7763,plain,
% 7.29/5.21 (~v119(constB55)),
% 7.29/5.21 inference(unit_resolution,[status(thm)],[7762, 7761, 7759])).
% 7.29/5.21 tff(7764,plain,
% 7.29/5.21 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v119(constB55) | v120(constB55) | v121(constB55) | v122(constB55) | v123(constB55) | v124(constB55) | (~(v130(constB55, bitIndex2) | v130(constB55, bitIndex1) | (~v130(constB55, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | v119(constB55) | v120(constB55) | v121(constB55) | v122(constB55) | v123(constB55) | v124(constB55) | (~(v130(constB55, bitIndex2) | v130(constB55, bitIndex1) | (~v130(constB55, bitIndex0)))))),
% 7.29/5.21 inference(rewrite,[status(thm)],[])).
% 7.29/5.21 tff(7765,plain,
% 7.29/5.21 ((v124(constB55) | v123(constB55) | v122(constB55) | v121(constB55) | v120(constB55) | v119(constB55) | (~(v130(constB55, bitIndex2) | v130(constB55, bitIndex1) | (~v130(constB55, bitIndex0))))) <=> (v119(constB55) | v120(constB55) | v121(constB55) | v122(constB55) | v123(constB55) | v124(constB55) | (~(v130(constB55, bitIndex2) | v130(constB55, bitIndex1) | (~v130(constB55, bitIndex0)))))),
% 7.29/5.21 inference(rewrite,[status(thm)],[])).
% 7.29/5.21 tff(7766,plain,
% 7.29/5.21 ((~(v130(constB55, bitIndex1) | v130(constB55, bitIndex2) | (~v130(constB55, bitIndex0)))) <=> (~(v130(constB55, bitIndex2) | v130(constB55, bitIndex1) | (~v130(constB55, bitIndex0))))),
% 7.29/5.21 inference(rewrite,[status(thm)],[])).
% 7.29/5.21 tff(7767,plain,
% 7.29/5.21 ((v124(constB55) | v123(constB55) | v122(constB55) | v121(constB55) | v120(constB55) | v119(constB55) | (~(v130(constB55, bitIndex1) | v130(constB55, bitIndex2) | (~v130(constB55, bitIndex0))))) <=> (v124(constB55) | v123(constB55) | v122(constB55) | v121(constB55) | v120(constB55) | v119(constB55) | (~(v130(constB55, bitIndex2) | v130(constB55, bitIndex1) | (~v130(constB55, bitIndex0)))))),
% 7.30/5.21 inference(monotonicity,[status(thm)],[7766])).
% 7.30/5.21 tff(7768,plain,
% 7.30/5.21 ((v124(constB55) | v123(constB55) | v122(constB55) | v121(constB55) | v120(constB55) | v119(constB55) | (~(v130(constB55, bitIndex1) | v130(constB55, bitIndex2) | (~v130(constB55, bitIndex0))))) <=> (v119(constB55) | v120(constB55) | v121(constB55) | v122(constB55) | v123(constB55) | v124(constB55) | (~(v130(constB55, bitIndex2) | v130(constB55, bitIndex1) | (~v130(constB55, bitIndex0)))))),
% 7.30/5.21 inference(transitivity,[status(thm)],[7767, 7765])).
% 7.30/5.21 tff(7769,plain,
% 7.30/5.21 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB55) | v123(constB55) | v122(constB55) | v121(constB55) | v120(constB55) | v119(constB55) | (~(v130(constB55, bitIndex1) | v130(constB55, bitIndex2) | (~v130(constB55, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v119(constB55) | v120(constB55) | v121(constB55) | v122(constB55) | v123(constB55) | v124(constB55) | (~(v130(constB55, bitIndex2) | v130(constB55, bitIndex1) | (~v130(constB55, bitIndex0))))))),
% 7.30/5.21 inference(monotonicity,[status(thm)],[7768])).
% 7.30/5.21 tff(7770,plain,
% 7.30/5.21 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB55) | v123(constB55) | v122(constB55) | v121(constB55) | v120(constB55) | v119(constB55) | (~(v130(constB55, bitIndex1) | v130(constB55, bitIndex2) | (~v130(constB55, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | v119(constB55) | v120(constB55) | v121(constB55) | v122(constB55) | v123(constB55) | v124(constB55) | (~(v130(constB55, bitIndex2) | v130(constB55, bitIndex1) | (~v130(constB55, bitIndex0)))))),
% 7.30/5.21 inference(transitivity,[status(thm)],[7769, 7764])).
% 7.30/5.21 tff(7771,plain,
% 7.30/5.21 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB55) | v123(constB55) | v122(constB55) | v121(constB55) | v120(constB55) | v119(constB55) | (~(v130(constB55, bitIndex1) | v130(constB55, bitIndex2) | (~v130(constB55, bitIndex0)))))),
% 7.30/5.21 inference(quant_inst,[status(thm)],[])).
% 7.30/5.21 tff(7772,plain,
% 7.30/5.21 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | v119(constB55) | v120(constB55) | v121(constB55) | v122(constB55) | v123(constB55) | v124(constB55) | (~(v130(constB55, bitIndex2) | v130(constB55, bitIndex1) | (~v130(constB55, bitIndex0))))),
% 7.30/5.21 inference(modus_ponens,[status(thm)],[7771, 7770])).
% 7.30/5.21 tff(7773,plain,
% 7.30/5.21 (v119(constB55) | v120(constB55) | v121(constB55) | v122(constB55) | v123(constB55) | v124(constB55) | (~(v130(constB55, bitIndex2) | v130(constB55, bitIndex1) | (~v130(constB55, bitIndex0))))),
% 7.30/5.21 inference(unit_resolution,[status(thm)],[7772, 3694])).
% 7.30/5.21 tff(7774,plain,
% 7.30/5.21 (~(v130(constB55, bitIndex2) | v130(constB55, bitIndex1) | (~v130(constB55, bitIndex0)))),
% 7.30/5.21 inference(unit_resolution,[status(thm)],[7773, 7763, 7757, 7728, 7717, 7688, 7677])).
% 7.30/5.21 tff(7775,plain,
% 7.30/5.21 ((v130(constB55, bitIndex2) | v130(constB55, bitIndex1) | (~v130(constB55, bitIndex0))) | (~v130(constB55, bitIndex2))),
% 7.30/5.21 inference(tautology,[status(thm)],[])).
% 7.30/5.21 tff(7776,plain,
% 7.30/5.21 (~v130(constB55, bitIndex2)),
% 7.30/5.21 inference(unit_resolution,[status(thm)],[7775, 7774])).
% 7.30/5.21 tff(7777,plain,
% 7.30/5.21 (((~v127(constB55, bitIndex2)) <=> v130(constB55, bitIndex2)) | (~v127(constB55, bitIndex2)) | v130(constB55, bitIndex2)),
% 7.30/5.22 inference(tautology,[status(thm)],[])).
% 7.30/5.22 tff(7778,plain,
% 7.30/5.22 (~v127(constB55, bitIndex2)),
% 7.30/5.22 inference(unit_resolution,[status(thm)],[7777, 7776, 1405])).
% 7.30/5.22 tff(7779,plain,
% 7.30/5.22 (((~v129(constB56, bitIndex2)) <=> v127(constB55, bitIndex2)) | (~v129(constB56, bitIndex2)) | v127(constB55, bitIndex2)),
% 7.30/5.22 inference(tautology,[status(thm)],[])).
% 7.30/5.22 tff(7780,plain,
% 7.30/5.22 (~v129(constB56, bitIndex2)),
% 7.30/5.22 inference(unit_resolution,[status(thm)],[7779, 7778, 1391])).
% 7.30/5.22 tff(7781,plain,
% 7.30/5.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB55, constB56)) | (v100(constB56) <=> (~((~v101(constB56)) | (~v110(constB56))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB55, constB56)) | (v100(constB56) <=> (~((~v101(constB56)) | (~v110(constB56))))))),
% 7.30/5.22 inference(rewrite,[status(thm)],[])).
% 7.30/5.22 tff(7782,plain,
% 7.30/5.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB55, constB56)) | (v100(constB56) <=> (~((~v101(constB56)) | (~v110(constB56))))))),
% 7.30/5.22 inference(quant_inst,[status(thm)],[])).
% 7.30/5.22 tff(7783,plain,
% 7.30/5.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB55, constB56)) | (v100(constB56) <=> (~((~v101(constB56)) | (~v110(constB56)))))),
% 7.30/5.22 inference(modus_ponens,[status(thm)],[7782, 7781])).
% 7.30/5.22 tff(7784,plain,
% 7.30/5.22 (v100(constB56) <=> (~((~v101(constB56)) | (~v110(constB56))))),
% 7.30/5.22 inference(unit_resolution,[status(thm)],[7783, 1385, 445])).
% 7.30/5.22 tff(7785,plain,
% 7.30/5.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB55, constB56)) | (v101(constB56) <=> (~((~v1(constB56)) | (~v102(constB56))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB55, constB56)) | (v101(constB56) <=> (~((~v1(constB56)) | (~v102(constB56))))))),
% 7.30/5.22 inference(rewrite,[status(thm)],[])).
% 7.30/5.22 tff(7786,plain,
% 7.30/5.22 (((~nextState(constB55, constB56)) | (v101(constB56) <=> (~((~v102(constB56)) | (~v1(constB56)))))) <=> ((~nextState(constB55, constB56)) | (v101(constB56) <=> (~((~v1(constB56)) | (~v102(constB56))))))),
% 7.30/5.22 inference(rewrite,[status(thm)],[])).
% 7.30/5.22 tff(7787,plain,
% 7.30/5.22 (((~![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) <=> (~((~v1(constB56)) | (~v102(constB56)))))))),
% 7.30/5.22 inference(monotonicity,[status(thm)],[7786])).
% 7.30/5.22 tff(7788,plain,
% 7.30/5.22 (((~![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) <=> (~((~v1(constB56)) | (~v102(constB56))))))),
% 7.30/5.22 inference(transitivity,[status(thm)],[7787, 7785])).
% 7.30/5.22 tff(7789,plain,
% 7.30/5.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB55, constB56)) | (v101(constB56) <=> (~((~v102(constB56)) | (~v1(constB56))))))),
% 7.30/5.22 inference(quant_inst,[status(thm)],[])).
% 7.30/5.22 tff(7790,plain,
% 7.30/5.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB55, constB56)) | (v101(constB56) <=> (~((~v1(constB56)) | (~v102(constB56)))))),
% 7.30/5.22 inference(modus_ponens,[status(thm)],[7789, 7788])).
% 7.30/5.22 tff(7791,plain,
% 7.30/5.22 (v101(constB56) <=> (~((~v1(constB56)) | (~v102(constB56))))),
% 7.30/5.22 inference(unit_resolution,[status(thm)],[7790, 1385, 465])).
% 7.30/5.22 tff(7792,plain,
% 7.30/5.22 (((~![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)))),
% 7.30/5.22 inference(rewrite,[status(thm)],[])).
% 7.30/5.22 tff(7793,plain,
% 7.30/5.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB55, constB56)) | ((~v102(constB56)) <=> v104(constB56)))),
% 7.30/5.22 inference(quant_inst,[status(thm)],[])).
% 7.30/5.22 tff(7794,plain,
% 7.30/5.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB55, constB56)) | ((~v102(constB56)) <=> v104(constB56))),
% 7.30/5.22 inference(modus_ponens,[status(thm)],[7793, 7792])).
% 7.30/5.22 tff(7795,plain,
% 7.30/5.22 ((~v102(constB56)) <=> v104(constB56)),
% 7.30/5.22 inference(unit_resolution,[status(thm)],[7794, 1385, 3244])).
% 7.30/5.22 tff(7796,plain,
% 7.30/5.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB55, constB56)) | (v104(constB56) <=> v1(constB55)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB55, constB56)) | (v104(constB56) <=> v1(constB55)))),
% 7.30/5.22 inference(rewrite,[status(thm)],[])).
% 7.30/5.22 tff(7797,plain,
% 7.30/5.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB55, constB56)) | (v104(constB56) <=> v1(constB55)))),
% 7.30/5.22 inference(quant_inst,[status(thm)],[])).
% 7.30/5.22 tff(7798,plain,
% 7.30/5.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB55, constB56)) | (v104(constB56) <=> v1(constB55))),
% 7.30/5.22 inference(modus_ponens,[status(thm)],[7797, 7796])).
% 7.30/5.22 tff(7799,plain,
% 7.30/5.22 (v104(constB56) <=> v1(constB55)),
% 7.30/5.22 inference(unit_resolution,[status(thm)],[7798, 1385, 3258])).
% 7.30/5.22 tff(7800,plain,
% 7.30/5.22 ((~(v104(constB56) <=> v1(constB55))) | (~v104(constB56)) | v1(constB55)),
% 7.30/5.22 inference(tautology,[status(thm)],[])).
% 7.30/5.22 tff(7801,plain,
% 7.30/5.22 ((~(v104(constB56) <=> v1(constB55))) | (~v104(constB56))),
% 7.30/5.22 inference(unit_resolution,[status(thm)],[7800, 1424])).
% 7.30/5.22 tff(7802,plain,
% 7.30/5.22 (~v104(constB56)),
% 7.30/5.22 inference(unit_resolution,[status(thm)],[7801, 7799])).
% 7.30/5.22 tff(7803,plain,
% 7.30/5.22 ((~((~v102(constB56)) <=> v104(constB56))) | v102(constB56) | v104(constB56)),
% 7.30/5.22 inference(tautology,[status(thm)],[])).
% 7.30/5.22 tff(7804,plain,
% 7.30/5.22 (v102(constB56)),
% 7.30/5.22 inference(unit_resolution,[status(thm)],[7803, 7802, 7795])).
% 7.30/5.22 tff(7805,plain,
% 7.30/5.22 (v1(constB56) <=> v1(constB56)),
% 7.30/5.22 inference(rewrite,[status(thm)],[])).
% 7.30/5.22 tff(7806,axiom,(v1(constB56)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_56')).
% 7.30/5.22 tff(7807,plain,
% 7.30/5.22 (v1(constB56)),
% 7.30/5.22 inference(modus_ponens,[status(thm)],[7806, 7805])).
% 7.30/5.22 tff(7808,plain,
% 7.30/5.22 ((~((~v1(constB56)) | (~v102(constB56)))) | (~v1(constB56)) | (~v102(constB56))),
% 7.30/5.22 inference(tautology,[status(thm)],[])).
% 7.30/5.22 tff(7809,plain,
% 7.30/5.22 ((~((~v1(constB56)) | (~v102(constB56)))) | (~v102(constB56))),
% 7.30/5.22 inference(unit_resolution,[status(thm)],[7808, 7807])).
% 7.30/5.22 tff(7810,plain,
% 7.30/5.22 (~((~v1(constB56)) | (~v102(constB56)))),
% 7.30/5.22 inference(unit_resolution,[status(thm)],[7809, 7804])).
% 7.30/5.22 tff(7811,plain,
% 7.30/5.22 ((~(v101(constB56) <=> (~((~v1(constB56)) | (~v102(constB56)))))) | v101(constB56) | ((~v1(constB56)) | (~v102(constB56)))),
% 7.30/5.22 inference(tautology,[status(thm)],[])).
% 7.30/5.22 tff(7812,plain,
% 7.30/5.22 (v101(constB56)),
% 7.30/5.22 inference(unit_resolution,[status(thm)],[7811, 7810, 7791])).
% 7.30/5.22 tff(7813,plain,
% 7.30/5.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB55, constB56)) | (v110(constB56) <=> v108(constB55)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB55, constB56)) | (v110(constB56) <=> v108(constB55)))),
% 7.30/5.22 inference(rewrite,[status(thm)],[])).
% 7.30/5.22 tff(7814,plain,
% 7.30/5.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB55, constB56)) | (v110(constB56) <=> v108(constB55)))),
% 7.30/5.22 inference(quant_inst,[status(thm)],[])).
% 7.30/5.22 tff(7815,plain,
% 7.30/5.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB55, constB56)) | (v110(constB56) <=> v108(constB55))),
% 7.30/5.22 inference(modus_ponens,[status(thm)],[7814, 7813])).
% 7.30/5.22 tff(7816,plain,
% 7.30/5.22 (v110(constB56) <=> v108(constB55)),
% 7.30/5.22 inference(unit_resolution,[status(thm)],[7815, 1385, 3285])).
% 7.30/5.22 tff(7817,plain,
% 7.30/5.22 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB55) <=> (v111(constB55) | v112(constB55)))),
% 7.30/5.22 inference(quant_inst,[status(thm)],[])).
% 7.30/5.22 tff(7818,plain,
% 7.30/5.22 (v108(constB55) <=> (v111(constB55) | v112(constB55))),
% 7.30/5.22 inference(unit_resolution,[status(thm)],[7817, 3296])).
% 7.30/5.22 tff(7819,plain,
% 7.30/5.22 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB55) <=> (~((~v113(constB55)) | (~v126(constB55)))))),
% 7.30/5.22 inference(quant_inst,[status(thm)],[])).
% 7.30/5.22 tff(7820,plain,
% 7.30/5.22 (v112(constB55) <=> (~((~v113(constB55)) | (~v126(constB55))))),
% 7.30/5.22 inference(unit_resolution,[status(thm)],[7819, 3308])).
% 7.30/5.22 tff(7821,plain,
% 7.30/5.22 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB55) <=> (v114(constB55) | v125(constB55)))),
% 7.30/5.22 inference(quant_inst,[status(thm)],[])).
% 7.30/5.22 tff(7822,plain,
% 7.30/5.22 (v113(constB55) <=> (v114(constB55) | v125(constB55))),
% 7.30/5.22 inference(unit_resolution,[status(thm)],[7821, 3317])).
% 7.30/5.22 tff(7823,plain,
% 7.30/5.22 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB55) <=> (~(v90(constB55, bitIndex0) | (~v90(constB55, bitIndex1)) | (~v90(constB55, bitIndex2)))))),
% 7.30/5.22 inference(quant_inst,[status(thm)],[])).
% 7.30/5.22 tff(7824,plain,
% 7.30/5.22 (v125(constB55) <=> (~(v90(constB55, bitIndex0) | (~v90(constB55, bitIndex1)) | (~v90(constB55, bitIndex2))))),
% 7.30/5.22 inference(unit_resolution,[status(thm)],[7823, 3766])).
% 7.30/5.22 tff(7825,plain,
% 7.30/5.22 ((~(v90(constB55, bitIndex0) | (~v90(constB55, bitIndex1)) | (~v90(constB55, bitIndex2)))) | v90(constB55, bitIndex0) | (~v90(constB55, bitIndex1)) | (~v90(constB55, bitIndex2))),
% 7.30/5.22 inference(tautology,[status(thm)],[])).
% 7.30/5.22 tff(7826,plain,
% 7.30/5.22 (~(v90(constB55, bitIndex0) | (~v90(constB55, bitIndex1)) | (~v90(constB55, bitIndex2)))),
% 7.30/5.22 inference(unit_resolution,[status(thm)],[7825, 7713, 7673, 7753])).
% 7.30/5.22 tff(7827,plain,
% 7.30/5.22 ((~(v125(constB55) <=> (~(v90(constB55, bitIndex0) | (~v90(constB55, bitIndex1)) | (~v90(constB55, bitIndex2)))))) | v125(constB55) | (v90(constB55, bitIndex0) | (~v90(constB55, bitIndex1)) | (~v90(constB55, bitIndex2)))),
% 7.30/5.22 inference(tautology,[status(thm)],[])).
% 7.30/5.22 tff(7828,plain,
% 7.30/5.22 (v125(constB55)),
% 7.30/5.22 inference(unit_resolution,[status(thm)],[7827, 7826, 7824])).
% 7.30/5.22 tff(7829,plain,
% 7.30/5.22 ((v114(constB55) | v125(constB55)) | (~v125(constB55))),
% 7.30/5.22 inference(tautology,[status(thm)],[])).
% 7.30/5.22 tff(7830,plain,
% 7.30/5.22 (v114(constB55) | v125(constB55)),
% 7.30/5.22 inference(unit_resolution,[status(thm)],[7829, 7828])).
% 7.30/5.22 tff(7831,plain,
% 7.30/5.22 ((~(v113(constB55) <=> (v114(constB55) | v125(constB55)))) | v113(constB55) | (~(v114(constB55) | v125(constB55)))),
% 7.30/5.22 inference(tautology,[status(thm)],[])).
% 7.30/5.22 tff(7832,plain,
% 7.30/5.22 (v113(constB55)),
% 7.30/5.22 inference(unit_resolution,[status(thm)],[7831, 7830, 7822])).
% 7.30/5.22 tff(7833,plain,
% 7.30/5.22 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB55)) <=> v111(constB55))),
% 7.30/5.22 inference(quant_inst,[status(thm)],[])).
% 7.30/5.22 tff(7834,plain,
% 7.30/5.22 ((~v126(constB55)) <=> v111(constB55)),
% 7.30/5.22 inference(unit_resolution,[status(thm)],[7833, 3396])).
% 7.30/5.22 tff(7835,plain,
% 7.30/5.22 ((~((~v126(constB55)) <=> v111(constB55))) | v126(constB55) | v111(constB55)),
% 7.30/5.22 inference(tautology,[status(thm)],[])).
% 7.30/5.22 tff(7836,plain,
% 7.30/5.22 ((~((~v126(constB55)) <=> v111(constB55))) | v126(constB55)),
% 7.30/5.22 inference(unit_resolution,[status(thm)],[7835, 1398])).
% 7.30/5.22 tff(7837,plain,
% 7.30/5.22 (v126(constB55)),
% 7.30/5.22 inference(unit_resolution,[status(thm)],[7836, 7834])).
% 7.30/5.22 tff(7838,plain,
% 7.30/5.22 ((~((~v113(constB55)) | (~v126(constB55)))) | (~v113(constB55)) | (~v126(constB55))),
% 7.30/5.22 inference(tautology,[status(thm)],[])).
% 7.30/5.22 tff(7839,plain,
% 7.30/5.22 ((~((~v113(constB55)) | (~v126(constB55)))) | (~v113(constB55))),
% 7.30/5.22 inference(unit_resolution,[status(thm)],[7838, 7837])).
% 7.30/5.22 tff(7840,plain,
% 7.30/5.22 (~((~v113(constB55)) | (~v126(constB55)))),
% 7.30/5.22 inference(unit_resolution,[status(thm)],[7839, 7832])).
% 7.30/5.22 tff(7841,plain,
% 7.30/5.22 ((~(v112(constB55) <=> (~((~v113(constB55)) | (~v126(constB55)))))) | v112(constB55) | ((~v113(constB55)) | (~v126(constB55)))),
% 7.30/5.22 inference(tautology,[status(thm)],[])).
% 7.30/5.22 tff(7842,plain,
% 7.30/5.22 (v112(constB55)),
% 7.30/5.22 inference(unit_resolution,[status(thm)],[7841, 7840, 7820])).
% 7.30/5.22 tff(7843,plain,
% 7.30/5.22 ((v111(constB55) | v112(constB55)) | (~v112(constB55))),
% 7.30/5.22 inference(tautology,[status(thm)],[])).
% 7.30/5.22 tff(7844,plain,
% 7.30/5.22 (v111(constB55) | v112(constB55)),
% 7.30/5.22 inference(unit_resolution,[status(thm)],[7843, 7842])).
% 7.30/5.22 tff(7845,plain,
% 7.30/5.22 ((~(v108(constB55) <=> (v111(constB55) | v112(constB55)))) | v108(constB55) | (~(v111(constB55) | v112(constB55)))),
% 7.30/5.22 inference(tautology,[status(thm)],[])).
% 7.30/5.22 tff(7846,plain,
% 7.30/5.22 (v108(constB55)),
% 7.30/5.22 inference(unit_resolution,[status(thm)],[7845, 7844, 7818])).
% 7.30/5.22 tff(7847,plain,
% 7.30/5.22 ((~(v110(constB56) <=> v108(constB55))) | v110(constB56) | (~v108(constB55))),
% 7.30/5.22 inference(tautology,[status(thm)],[])).
% 7.30/5.22 tff(7848,plain,
% 7.30/5.22 (v110(constB56)),
% 7.30/5.22 inference(unit_resolution,[status(thm)],[7847, 7846, 7816])).
% 7.30/5.22 tff(7849,plain,
% 7.30/5.22 ((~((~v101(constB56)) | (~v110(constB56)))) | (~v101(constB56)) | (~v110(constB56))),
% 7.30/5.22 inference(tautology,[status(thm)],[])).
% 7.30/5.22 tff(7850,plain,
% 7.30/5.22 (~((~v101(constB56)) | (~v110(constB56)))),
% 7.30/5.22 inference(unit_resolution,[status(thm)],[7849, 7848, 7812])).
% 7.30/5.22 tff(7851,plain,
% 7.30/5.22 ((~(v100(constB56) <=> (~((~v101(constB56)) | (~v110(constB56)))))) | v100(constB56) | ((~v101(constB56)) | (~v110(constB56)))),
% 7.30/5.22 inference(tautology,[status(thm)],[])).
% 7.30/5.22 tff(7852,plain,
% 7.30/5.22 (v100(constB56)),
% 7.30/5.22 inference(unit_resolution,[status(thm)],[7851, 7850, 7784])).
% 7.30/5.22 tff(7853,plain,
% 7.30/5.22 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB56)) | (~(((~v90(constB56, bitIndex2)) <=> v129(constB56, bitIndex2)) | ((~v90(constB56, bitIndex1)) <=> v129(constB56, bitIndex1)) | ((~v90(constB56, bitIndex0)) <=> v129(constB56, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB56)) | (~(((~v90(constB56, bitIndex2)) <=> v129(constB56, bitIndex2)) | ((~v90(constB56, bitIndex1)) <=> v129(constB56, bitIndex1)) | ((~v90(constB56, bitIndex0)) <=> v129(constB56, bitIndex0)))))),
% 7.30/5.22 inference(rewrite,[status(thm)],[])).
% 7.30/5.22 tff(7854,plain,
% 7.30/5.22 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB56)) | (~(((~v90(constB56, bitIndex2)) <=> v129(constB56, bitIndex2)) | ((~v90(constB56, bitIndex1)) <=> v129(constB56, bitIndex1)) | ((~v90(constB56, bitIndex0)) <=> v129(constB56, bitIndex0)))))),
% 7.30/5.22 inference(quant_inst,[status(thm)],[])).
% 7.30/5.22 tff(7855,plain,
% 7.30/5.22 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB56)) | (~(((~v90(constB56, bitIndex2)) <=> v129(constB56, bitIndex2)) | ((~v90(constB56, bitIndex1)) <=> v129(constB56, bitIndex1)) | ((~v90(constB56, bitIndex0)) <=> v129(constB56, bitIndex0))))),
% 7.30/5.22 inference(modus_ponens,[status(thm)],[7854, 7853])).
% 7.30/5.22 tff(7856,plain,
% 7.30/5.22 ((~v100(constB56)) | (~(((~v90(constB56, bitIndex2)) <=> v129(constB56, bitIndex2)) | ((~v90(constB56, bitIndex1)) <=> v129(constB56, bitIndex1)) | ((~v90(constB56, bitIndex0)) <=> v129(constB56, bitIndex0))))),
% 7.30/5.22 inference(unit_resolution,[status(thm)],[7855, 3429])).
% 7.30/5.22 tff(7857,plain,
% 7.30/5.22 (~(((~v90(constB56, bitIndex2)) <=> v129(constB56, bitIndex2)) | ((~v90(constB56, bitIndex1)) <=> v129(constB56, bitIndex1)) | ((~v90(constB56, bitIndex0)) <=> v129(constB56, bitIndex0)))),
% 7.30/5.22 inference(unit_resolution,[status(thm)],[7856, 7852])).
% 7.30/5.22 tff(7858,plain,
% 7.30/5.22 ((((~v90(constB56, bitIndex2)) <=> v129(constB56, bitIndex2)) | ((~v90(constB56, bitIndex1)) <=> v129(constB56, bitIndex1)) | ((~v90(constB56, bitIndex0)) <=> v129(constB56, bitIndex0))) | (~((~v90(constB56, bitIndex2)) <=> v129(constB56, bitIndex2)))),
% 7.30/5.22 inference(tautology,[status(thm)],[])).
% 7.30/5.22 tff(7859,plain,
% 7.30/5.22 (~((~v90(constB56, bitIndex2)) <=> v129(constB56, bitIndex2))),
% 7.30/5.22 inference(unit_resolution,[status(thm)],[7858, 7857])).
% 7.30/5.22 tff(7860,plain,
% 7.30/5.22 (((~v90(constB56, bitIndex2)) <=> v129(constB56, bitIndex2)) | (~v90(constB56, bitIndex2)) | v129(constB56, bitIndex2)),
% 7.30/5.22 inference(tautology,[status(thm)],[])).
% 7.30/5.22 tff(7861,plain,
% 7.30/5.22 (~v90(constB56, bitIndex2)),
% 7.30/5.22 inference(unit_resolution,[status(thm)],[7860, 7859, 7780])).
% 7.30/5.22 tff(7862,plain,
% 7.30/5.22 (((~v90(constB57, bitIndex2)) <=> v90(constB56, bitIndex2)) | (~v90(constB57, bitIndex2)) | v90(constB56, bitIndex2)),
% 7.30/5.22 inference(tautology,[status(thm)],[])).
% 7.30/5.22 tff(7863,plain,
% 7.30/5.22 (~v90(constB57, bitIndex2)),
% 7.30/5.22 inference(unit_resolution,[status(thm)],[7862, 7861, 1382])).
% 7.30/5.22 tff(7864,plain,
% 7.30/5.22 ((((~v90(constB57, bitIndex1)) <=> v90(constB56, bitIndex1)) | ((~v90(constB57, bitIndex2)) <=> v90(constB56, bitIndex2)) | ((~v90(constB57, bitIndex0)) <=> v90(constB56, bitIndex0))) | (~((~v90(constB57, bitIndex0)) <=> v90(constB56, bitIndex0)))),
% 7.30/5.22 inference(tautology,[status(thm)],[])).
% 7.30/5.22 tff(7865,plain,
% 7.30/5.22 (~((~v90(constB57, bitIndex0)) <=> v90(constB56, bitIndex0))),
% 7.30/5.22 inference(unit_resolution,[status(thm)],[7864, 1380])).
% 7.30/5.22 tff(7866,plain,
% 7.30/5.22 ((((~v129(constB56, bitIndex2)) <=> v127(constB55, bitIndex2)) | ((~v129(constB56, bitIndex1)) <=> v127(constB55, bitIndex1)) | ((~v129(constB56, bitIndex0)) <=> v127(constB55, bitIndex0))) | (~((~v129(constB56, bitIndex0)) <=> v127(constB55, bitIndex0)))),
% 7.30/5.22 inference(tautology,[status(thm)],[])).
% 7.30/5.22 tff(7867,plain,
% 7.30/5.22 (~((~v129(constB56, bitIndex0)) <=> v127(constB55, bitIndex0))),
% 7.30/5.22 inference(unit_resolution,[status(thm)],[7866, 1389])).
% 7.30/5.22 tff(7868,plain,
% 7.30/5.22 ((((~v127(constB55, bitIndex2)) <=> v130(constB55, bitIndex2)) | ((~v127(constB55, bitIndex1)) <=> v130(constB55, bitIndex1)) | ((~v127(constB55, bitIndex0)) <=> v130(constB55, bitIndex0))) | (~((~v127(constB55, bitIndex0)) <=> v130(constB55, bitIndex0)))),
% 7.30/5.22 inference(tautology,[status(thm)],[])).
% 7.30/5.22 tff(7869,plain,
% 7.30/5.22 (~((~v127(constB55, bitIndex0)) <=> v130(constB55, bitIndex0))),
% 7.30/5.22 inference(unit_resolution,[status(thm)],[7868, 1403])).
% 7.30/5.22 tff(7870,plain,
% 7.30/5.22 ((v130(constB55, bitIndex2) | v130(constB55, bitIndex1) | (~v130(constB55, bitIndex0))) | v130(constB55, bitIndex0)),
% 7.30/5.22 inference(tautology,[status(thm)],[])).
% 7.30/5.22 tff(7871,plain,
% 7.30/5.22 (v130(constB55, bitIndex0)),
% 7.30/5.22 inference(unit_resolution,[status(thm)],[7870, 7774])).
% 7.30/5.22 tff(7872,plain,
% 7.30/5.22 (((~v127(constB55, bitIndex0)) <=> v130(constB55, bitIndex0)) | v127(constB55, bitIndex0) | (~v130(constB55, bitIndex0))),
% 7.30/5.22 inference(tautology,[status(thm)],[])).
% 7.30/5.22 tff(7873,plain,
% 7.30/5.22 (v127(constB55, bitIndex0)),
% 7.30/5.22 inference(unit_resolution,[status(thm)],[7872, 7871, 7869])).
% 7.30/5.22 tff(7874,plain,
% 7.30/5.22 (((~v129(constB56, bitIndex0)) <=> v127(constB55, bitIndex0)) | v129(constB56, bitIndex0) | (~v127(constB55, bitIndex0))),
% 7.30/5.22 inference(tautology,[status(thm)],[])).
% 7.30/5.22 tff(7875,plain,
% 7.30/5.22 (v129(constB56, bitIndex0)),
% 7.30/5.22 inference(unit_resolution,[status(thm)],[7874, 7873, 7867])).
% 7.30/5.22 tff(7876,plain,
% 7.30/5.22 ((((~v90(constB56, bitIndex2)) <=> v129(constB56, bitIndex2)) | ((~v90(constB56, bitIndex1)) <=> v129(constB56, bitIndex1)) | ((~v90(constB56, bitIndex0)) <=> v129(constB56, bitIndex0))) | (~((~v90(constB56, bitIndex0)) <=> v129(constB56, bitIndex0)))),
% 7.30/5.22 inference(tautology,[status(thm)],[])).
% 7.30/5.22 tff(7877,plain,
% 7.30/5.22 (~((~v90(constB56, bitIndex0)) <=> v129(constB56, bitIndex0))),
% 7.30/5.22 inference(unit_resolution,[status(thm)],[7876, 7857])).
% 7.30/5.22 tff(7878,plain,
% 7.30/5.22 (((~v90(constB56, bitIndex0)) <=> v129(constB56, bitIndex0)) | v90(constB56, bitIndex0) | (~v129(constB56, bitIndex0))),
% 7.30/5.22 inference(tautology,[status(thm)],[])).
% 7.30/5.22 tff(7879,plain,
% 7.30/5.22 (v90(constB56, bitIndex0)),
% 7.30/5.22 inference(unit_resolution,[status(thm)],[7878, 7877, 7875])).
% 7.30/5.22 tff(7880,plain,
% 7.30/5.22 (((~v90(constB57, bitIndex0)) <=> v90(constB56, bitIndex0)) | v90(constB57, bitIndex0) | (~v90(constB56, bitIndex0))),
% 7.30/5.22 inference(tautology,[status(thm)],[])).
% 7.30/5.22 tff(7881,plain,
% 7.30/5.22 (v90(constB57, bitIndex0)),
% 7.30/5.22 inference(unit_resolution,[status(thm)],[7880, 7879, 7865])).
% 7.30/5.22 tff(7882,plain,
% 7.30/5.22 ((((~v90(constB57, bitIndex1)) <=> v90(constB56, bitIndex1)) | ((~v90(constB57, bitIndex2)) <=> v90(constB56, bitIndex2)) | ((~v90(constB57, bitIndex0)) <=> v90(constB56, bitIndex0))) | (~((~v90(constB57, bitIndex1)) <=> v90(constB56, bitIndex1)))),
% 7.30/5.22 inference(tautology,[status(thm)],[])).
% 7.30/5.22 tff(7883,plain,
% 7.30/5.22 (~((~v90(constB57, bitIndex1)) <=> v90(constB56, bitIndex1))),
% 7.30/5.22 inference(unit_resolution,[status(thm)],[7882, 1380])).
% 7.30/5.22 tff(7884,plain,
% 7.30/5.22 ((((~v129(constB56, bitIndex2)) <=> v127(constB55, bitIndex2)) | ((~v129(constB56, bitIndex1)) <=> v127(constB55, bitIndex1)) | ((~v129(constB56, bitIndex0)) <=> v127(constB55, bitIndex0))) | (~((~v129(constB56, bitIndex1)) <=> v127(constB55, bitIndex1)))),
% 7.30/5.22 inference(tautology,[status(thm)],[])).
% 7.30/5.22 tff(7885,plain,
% 7.30/5.22 (~((~v129(constB56, bitIndex1)) <=> v127(constB55, bitIndex1))),
% 7.30/5.22 inference(unit_resolution,[status(thm)],[7884, 1389])).
% 7.30/5.22 tff(7886,plain,
% 7.30/5.22 ((((~v127(constB55, bitIndex2)) <=> v130(constB55, bitIndex2)) | ((~v127(constB55, bitIndex1)) <=> v130(constB55, bitIndex1)) | ((~v127(constB55, bitIndex0)) <=> v130(constB55, bitIndex0))) | (~((~v127(constB55, bitIndex1)) <=> v130(constB55, bitIndex1)))),
% 7.30/5.22 inference(tautology,[status(thm)],[])).
% 7.30/5.22 tff(7887,plain,
% 7.30/5.22 (~((~v127(constB55, bitIndex1)) <=> v130(constB55, bitIndex1))),
% 7.30/5.22 inference(unit_resolution,[status(thm)],[7886, 1403])).
% 7.30/5.22 tff(7888,plain,
% 7.30/5.22 ((v130(constB55, bitIndex2) | v130(constB55, bitIndex1) | (~v130(constB55, bitIndex0))) | (~v130(constB55, bitIndex1))),
% 7.30/5.22 inference(tautology,[status(thm)],[])).
% 7.30/5.22 tff(7889,plain,
% 7.30/5.22 (~v130(constB55, bitIndex1)),
% 7.30/5.22 inference(unit_resolution,[status(thm)],[7888, 7774])).
% 7.30/5.22 tff(7890,plain,
% 7.30/5.22 (((~v127(constB55, bitIndex1)) <=> v130(constB55, bitIndex1)) | (~v127(constB55, bitIndex1)) | v130(constB55, bitIndex1)),
% 7.30/5.22 inference(tautology,[status(thm)],[])).
% 7.30/5.22 tff(7891,plain,
% 7.30/5.22 (~v127(constB55, bitIndex1)),
% 7.30/5.22 inference(unit_resolution,[status(thm)],[7890, 7889, 7887])).
% 7.30/5.22 tff(7892,plain,
% 7.30/5.22 (((~v129(constB56, bitIndex1)) <=> v127(constB55, bitIndex1)) | (~v129(constB56, bitIndex1)) | v127(constB55, bitIndex1)),
% 7.30/5.22 inference(tautology,[status(thm)],[])).
% 7.30/5.22 tff(7893,plain,
% 7.30/5.22 (~v129(constB56, bitIndex1)),
% 7.30/5.22 inference(unit_resolution,[status(thm)],[7892, 7891, 7885])).
% 7.30/5.22 tff(7894,plain,
% 7.30/5.22 ((((~v90(constB56, bitIndex2)) <=> v129(constB56, bitIndex2)) | ((~v90(constB56, bitIndex1)) <=> v129(constB56, bitIndex1)) | ((~v90(constB56, bitIndex0)) <=> v129(constB56, bitIndex0))) | (~((~v90(constB56, bitIndex1)) <=> v129(constB56, bitIndex1)))),
% 7.30/5.22 inference(tautology,[status(thm)],[])).
% 7.30/5.22 tff(7895,plain,
% 7.30/5.22 (~((~v90(constB56, bitIndex1)) <=> v129(constB56, bitIndex1))),
% 7.30/5.22 inference(unit_resolution,[status(thm)],[7894, 7857])).
% 7.30/5.22 tff(7896,plain,
% 7.30/5.22 (((~v90(constB56, bitIndex1)) <=> v129(constB56, bitIndex1)) | (~v90(constB56, bitIndex1)) | v129(constB56, bitIndex1)),
% 7.30/5.22 inference(tautology,[status(thm)],[])).
% 7.30/5.22 tff(7897,plain,
% 7.30/5.22 (~v90(constB56, bitIndex1)),
% 7.30/5.22 inference(unit_resolution,[status(thm)],[7896, 7895, 7893])).
% 7.30/5.22 tff(7898,plain,
% 7.30/5.22 (((~v90(constB57, bitIndex1)) <=> v90(constB56, bitIndex1)) | (~v90(constB57, bitIndex1)) | v90(constB56, bitIndex1)),
% 7.30/5.22 inference(tautology,[status(thm)],[])).
% 7.30/5.22 tff(7899,plain,
% 7.30/5.22 (~v90(constB57, bitIndex1)),
% 7.30/5.22 inference(unit_resolution,[status(thm)],[7898, 7897, 7883])).
% 7.30/5.22 tff(7900,plain,
% 7.30/5.22 ((~(v90(constB57, bitIndex1) | v90(constB57, bitIndex2) | (~v90(constB57, bitIndex0)))) | v90(constB57, bitIndex1) | v90(constB57, bitIndex2) | (~v90(constB57, bitIndex0))),
% 7.30/5.22 inference(tautology,[status(thm)],[])).
% 7.30/5.22 tff(7901,plain,
% 7.30/5.22 (~(v90(constB57, bitIndex1) | v90(constB57, bitIndex2) | (~v90(constB57, bitIndex0)))),
% 7.30/5.22 inference(unit_resolution,[status(thm)],[7900, 7899, 7881, 7863])).
% 7.30/5.22 tff(7902,plain,
% 7.30/5.22 ((~(v120(constB57) <=> (~(v90(constB57, bitIndex1) | v90(constB57, bitIndex2) | (~v90(constB57, bitIndex0)))))) | v120(constB57) | (v90(constB57, bitIndex1) | v90(constB57, bitIndex2) | (~v90(constB57, bitIndex0)))),
% 7.30/5.22 inference(tautology,[status(thm)],[])).
% 7.30/5.22 tff(7903,plain,
% 7.30/5.22 (v120(constB57)),
% 7.30/5.22 inference(unit_resolution,[status(thm)],[7902, 7901, 1346])).
% 7.30/5.22 tff(7904,plain,
% 7.30/5.22 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB57)) | (~(v130(constB57, bitIndex2) | v130(constB57, bitIndex0) | (~v130(constB57, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB57)) | (~(v130(constB57, bitIndex2) | v130(constB57, bitIndex0) | (~v130(constB57, bitIndex1)))))),
% 7.30/5.22 inference(rewrite,[status(thm)],[])).
% 7.30/5.22 tff(7905,plain,
% 7.30/5.22 (((~v120(constB57)) | (~(v130(constB57, bitIndex0) | v130(constB57, bitIndex2) | (~v130(constB57, bitIndex1))))) <=> ((~v120(constB57)) | (~(v130(constB57, bitIndex2) | v130(constB57, bitIndex0) | (~v130(constB57, bitIndex1)))))),
% 7.30/5.22 inference(rewrite,[status(thm)],[])).
% 7.30/5.22 tff(7906,plain,
% 7.30/5.22 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB57)) | (~(v130(constB57, bitIndex0) | v130(constB57, bitIndex2) | (~v130(constB57, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB57)) | (~(v130(constB57, bitIndex2) | v130(constB57, bitIndex0) | (~v130(constB57, bitIndex1))))))),
% 7.30/5.22 inference(monotonicity,[status(thm)],[7905])).
% 7.30/5.22 tff(7907,plain,
% 7.30/5.22 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB57)) | (~(v130(constB57, bitIndex0) | v130(constB57, bitIndex2) | (~v130(constB57, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB57)) | (~(v130(constB57, bitIndex2) | v130(constB57, bitIndex0) | (~v130(constB57, bitIndex1)))))),
% 7.30/5.22 inference(transitivity,[status(thm)],[7906, 7904])).
% 7.30/5.22 tff(7908,plain,
% 7.30/5.22 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB57)) | (~(v130(constB57, bitIndex0) | v130(constB57, bitIndex2) | (~v130(constB57, bitIndex1)))))),
% 7.30/5.22 inference(quant_inst,[status(thm)],[])).
% 7.30/5.22 tff(7909,plain,
% 7.30/5.22 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB57)) | (~(v130(constB57, bitIndex2) | v130(constB57, bitIndex0) | (~v130(constB57, bitIndex1))))),
% 7.30/5.22 inference(modus_ponens,[status(thm)],[7908, 7907])).
% 7.30/5.22 tff(7910,plain,
% 7.30/5.22 ((~v120(constB57)) | (~(v130(constB57, bitIndex2) | v130(constB57, bitIndex0) | (~v130(constB57, bitIndex1))))),
% 7.30/5.22 inference(unit_resolution,[status(thm)],[7909, 3881])).
% 7.30/5.22 tff(7911,plain,
% 7.30/5.22 (~(v130(constB57, bitIndex2) | v130(constB57, bitIndex0) | (~v130(constB57, bitIndex1)))),
% 7.30/5.22 inference(unit_resolution,[status(thm)],[7910, 7903])).
% 7.30/5.22 tff(7912,plain,
% 7.30/5.22 ((v130(constB57, bitIndex2) | v130(constB57, bitIndex0) | (~v130(constB57, bitIndex1))) | (~v130(constB57, bitIndex2))),
% 7.30/5.22 inference(tautology,[status(thm)],[])).
% 7.30/5.22 tff(7913,plain,
% 7.30/5.22 (~v130(constB57, bitIndex2)),
% 7.30/5.22 inference(unit_resolution,[status(thm)],[7912, 7911])).
% 7.30/5.22 tff(7914,plain,
% 7.30/5.22 (((~v127(constB57, bitIndex2)) <=> v130(constB57, bitIndex2)) | (~v127(constB57, bitIndex2)) | v130(constB57, bitIndex2)),
% 7.30/5.22 inference(tautology,[status(thm)],[])).
% 7.30/5.22 tff(7915,plain,
% 7.30/5.22 (~v127(constB57, bitIndex2)),
% 7.30/5.22 inference(unit_resolution,[status(thm)],[7914, 7913, 1344])).
% 7.30/5.22 tff(7916,plain,
% 7.30/5.22 (((~v129(constB58, bitIndex2)) <=> v127(constB57, bitIndex2)) | (~v129(constB58, bitIndex2)) | v127(constB57, bitIndex2)),
% 7.30/5.22 inference(tautology,[status(thm)],[])).
% 7.30/5.22 tff(7917,plain,
% 7.30/5.22 (~v129(constB58, bitIndex2)),
% 7.30/5.22 inference(unit_resolution,[status(thm)],[7916, 7915, 1330])).
% 7.30/5.22 tff(7918,plain,
% 7.30/5.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB57, constB58)) | (v100(constB58) <=> (~((~v101(constB58)) | (~v110(constB58))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB57, constB58)) | (v100(constB58) <=> (~((~v101(constB58)) | (~v110(constB58))))))),
% 7.30/5.22 inference(rewrite,[status(thm)],[])).
% 7.30/5.22 tff(7919,plain,
% 7.30/5.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB57, constB58)) | (v100(constB58) <=> (~((~v101(constB58)) | (~v110(constB58))))))),
% 7.30/5.22 inference(quant_inst,[status(thm)],[])).
% 7.30/5.22 tff(7920,plain,
% 7.30/5.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB57, constB58)) | (v100(constB58) <=> (~((~v101(constB58)) | (~v110(constB58)))))),
% 7.30/5.22 inference(modus_ponens,[status(thm)],[7919, 7918])).
% 7.30/5.22 tff(7921,plain,
% 7.30/5.22 (v100(constB58) <=> (~((~v101(constB58)) | (~v110(constB58))))),
% 7.30/5.22 inference(unit_resolution,[status(thm)],[7920, 1324, 445])).
% 7.30/5.22 tff(7922,plain,
% 7.30/5.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB57, constB58)) | (v101(constB58) <=> (~((~v1(constB58)) | (~v102(constB58))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB57, constB58)) | (v101(constB58) <=> (~((~v1(constB58)) | (~v102(constB58))))))),
% 7.30/5.22 inference(rewrite,[status(thm)],[])).
% 7.30/5.22 tff(7923,plain,
% 7.30/5.22 (((~nextState(constB57, constB58)) | (v101(constB58) <=> (~((~v102(constB58)) | (~v1(constB58)))))) <=> ((~nextState(constB57, constB58)) | (v101(constB58) <=> (~((~v1(constB58)) | (~v102(constB58))))))),
% 7.30/5.22 inference(rewrite,[status(thm)],[])).
% 7.30/5.22 tff(7924,plain,
% 7.30/5.22 (((~![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) <=> (~((~v1(constB58)) | (~v102(constB58)))))))),
% 7.30/5.22 inference(monotonicity,[status(thm)],[7923])).
% 7.30/5.22 tff(7925,plain,
% 7.30/5.22 (((~![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) <=> (~((~v1(constB58)) | (~v102(constB58))))))),
% 7.30/5.23 inference(transitivity,[status(thm)],[7924, 7922])).
% 7.30/5.23 tff(7926,plain,
% 7.30/5.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB57, constB58)) | (v101(constB58) <=> (~((~v102(constB58)) | (~v1(constB58))))))),
% 7.30/5.23 inference(quant_inst,[status(thm)],[])).
% 7.30/5.23 tff(7927,plain,
% 7.30/5.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB57, constB58)) | (v101(constB58) <=> (~((~v1(constB58)) | (~v102(constB58)))))),
% 7.30/5.23 inference(modus_ponens,[status(thm)],[7926, 7925])).
% 7.30/5.23 tff(7928,plain,
% 7.30/5.23 (v101(constB58) <=> (~((~v1(constB58)) | (~v102(constB58))))),
% 7.30/5.23 inference(unit_resolution,[status(thm)],[7927, 1324, 465])).
% 7.30/5.23 tff(7929,plain,
% 7.30/5.23 (((~![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)))),
% 7.30/5.23 inference(rewrite,[status(thm)],[])).
% 7.30/5.23 tff(7930,plain,
% 7.30/5.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB57, constB58)) | ((~v102(constB58)) <=> v104(constB58)))),
% 7.30/5.23 inference(quant_inst,[status(thm)],[])).
% 7.30/5.23 tff(7931,plain,
% 7.30/5.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB57, constB58)) | ((~v102(constB58)) <=> v104(constB58))),
% 7.30/5.23 inference(modus_ponens,[status(thm)],[7930, 7929])).
% 7.30/5.23 tff(7932,plain,
% 7.30/5.23 ((~v102(constB58)) <=> v104(constB58)),
% 7.30/5.23 inference(unit_resolution,[status(thm)],[7931, 1324, 3244])).
% 7.30/5.23 tff(7933,plain,
% 7.30/5.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB57, constB58)) | (v104(constB58) <=> v1(constB57)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB57, constB58)) | (v104(constB58) <=> v1(constB57)))),
% 7.30/5.23 inference(rewrite,[status(thm)],[])).
% 7.30/5.23 tff(7934,plain,
% 7.30/5.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB57, constB58)) | (v104(constB58) <=> v1(constB57)))),
% 7.30/5.23 inference(quant_inst,[status(thm)],[])).
% 7.30/5.23 tff(7935,plain,
% 7.30/5.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB57, constB58)) | (v104(constB58) <=> v1(constB57))),
% 7.30/5.23 inference(modus_ponens,[status(thm)],[7934, 7933])).
% 7.30/5.23 tff(7936,plain,
% 7.30/5.23 (v104(constB58) <=> v1(constB57)),
% 7.30/5.23 inference(unit_resolution,[status(thm)],[7935, 1324, 3258])).
% 7.30/5.23 tff(7937,plain,
% 7.30/5.23 ((~(v104(constB58) <=> v1(constB57))) | (~v104(constB58)) | v1(constB57)),
% 7.30/5.23 inference(tautology,[status(thm)],[])).
% 7.30/5.23 tff(7938,plain,
% 7.30/5.23 ((~(v104(constB58) <=> v1(constB57))) | (~v104(constB58))),
% 7.30/5.23 inference(unit_resolution,[status(thm)],[7937, 1363])).
% 7.30/5.23 tff(7939,plain,
% 7.30/5.23 (~v104(constB58)),
% 7.30/5.23 inference(unit_resolution,[status(thm)],[7938, 7936])).
% 7.30/5.23 tff(7940,plain,
% 7.30/5.23 ((~((~v102(constB58)) <=> v104(constB58))) | v102(constB58) | v104(constB58)),
% 7.30/5.23 inference(tautology,[status(thm)],[])).
% 7.30/5.23 tff(7941,plain,
% 7.30/5.23 (v102(constB58)),
% 7.30/5.23 inference(unit_resolution,[status(thm)],[7940, 7939, 7932])).
% 7.30/5.23 tff(7942,plain,
% 7.30/5.23 (v1(constB58) <=> v1(constB58)),
% 7.30/5.23 inference(rewrite,[status(thm)],[])).
% 7.30/5.23 tff(7943,axiom,(v1(constB58)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_58')).
% 7.30/5.23 tff(7944,plain,
% 7.30/5.23 (v1(constB58)),
% 7.30/5.23 inference(modus_ponens,[status(thm)],[7943, 7942])).
% 7.30/5.23 tff(7945,plain,
% 7.30/5.23 ((~((~v1(constB58)) | (~v102(constB58)))) | (~v1(constB58)) | (~v102(constB58))),
% 7.30/5.23 inference(tautology,[status(thm)],[])).
% 7.30/5.23 tff(7946,plain,
% 7.30/5.23 ((~((~v1(constB58)) | (~v102(constB58)))) | (~v102(constB58))),
% 7.30/5.23 inference(unit_resolution,[status(thm)],[7945, 7944])).
% 7.30/5.23 tff(7947,plain,
% 7.30/5.23 (~((~v1(constB58)) | (~v102(constB58)))),
% 7.30/5.23 inference(unit_resolution,[status(thm)],[7946, 7941])).
% 7.30/5.23 tff(7948,plain,
% 7.30/5.23 ((~(v101(constB58) <=> (~((~v1(constB58)) | (~v102(constB58)))))) | v101(constB58) | ((~v1(constB58)) | (~v102(constB58)))),
% 7.30/5.23 inference(tautology,[status(thm)],[])).
% 7.30/5.23 tff(7949,plain,
% 7.30/5.23 (v101(constB58)),
% 7.30/5.23 inference(unit_resolution,[status(thm)],[7948, 7947, 7928])).
% 7.30/5.23 tff(7950,plain,
% 7.30/5.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB57, constB58)) | (v110(constB58) <=> v108(constB57)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB57, constB58)) | (v110(constB58) <=> v108(constB57)))),
% 7.30/5.23 inference(rewrite,[status(thm)],[])).
% 7.30/5.23 tff(7951,plain,
% 7.30/5.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB57, constB58)) | (v110(constB58) <=> v108(constB57)))),
% 7.30/5.23 inference(quant_inst,[status(thm)],[])).
% 7.30/5.23 tff(7952,plain,
% 7.30/5.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB57, constB58)) | (v110(constB58) <=> v108(constB57))),
% 7.30/5.23 inference(modus_ponens,[status(thm)],[7951, 7950])).
% 7.30/5.23 tff(7953,plain,
% 7.30/5.23 (v110(constB58) <=> v108(constB57)),
% 7.30/5.23 inference(unit_resolution,[status(thm)],[7952, 1324, 3285])).
% 7.30/5.23 tff(7954,plain,
% 7.30/5.23 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB57) <=> (v111(constB57) | v112(constB57)))),
% 7.30/5.23 inference(quant_inst,[status(thm)],[])).
% 7.30/5.23 tff(7955,plain,
% 7.30/5.23 (v108(constB57) <=> (v111(constB57) | v112(constB57))),
% 7.30/5.23 inference(unit_resolution,[status(thm)],[7954, 3296])).
% 7.30/5.23 tff(7956,plain,
% 7.30/5.23 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB57) <=> (~((~v113(constB57)) | (~v126(constB57)))))),
% 7.30/5.23 inference(quant_inst,[status(thm)],[])).
% 7.30/5.23 tff(7957,plain,
% 7.30/5.23 (v112(constB57) <=> (~((~v113(constB57)) | (~v126(constB57))))),
% 7.30/5.23 inference(unit_resolution,[status(thm)],[7956, 3308])).
% 7.30/5.23 tff(7958,plain,
% 7.30/5.23 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB57) <=> (v114(constB57) | v125(constB57)))),
% 7.30/5.23 inference(quant_inst,[status(thm)],[])).
% 7.30/5.23 tff(7959,plain,
% 7.30/5.23 (v113(constB57) <=> (v114(constB57) | v125(constB57))),
% 7.30/5.23 inference(unit_resolution,[status(thm)],[7958, 3317])).
% 7.30/5.23 tff(7960,plain,
% 7.30/5.23 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB57) <=> (v115(constB57) | v124(constB57)))),
% 7.30/5.23 inference(quant_inst,[status(thm)],[])).
% 7.30/5.23 tff(7961,plain,
% 7.30/5.23 (v114(constB57) <=> (v115(constB57) | v124(constB57))),
% 7.30/5.23 inference(unit_resolution,[status(thm)],[7960, 3326])).
% 7.30/5.23 tff(7962,plain,
% 7.30/5.23 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB57) <=> (v116(constB57) | v123(constB57)))),
% 7.30/5.23 inference(quant_inst,[status(thm)],[])).
% 7.30/5.23 tff(7963,plain,
% 7.30/5.23 (v115(constB57) <=> (v116(constB57) | v123(constB57))),
% 7.30/5.23 inference(unit_resolution,[status(thm)],[7962, 3335])).
% 7.30/5.23 tff(7964,plain,
% 7.30/5.23 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB57) <=> (v117(constB57) | v122(constB57)))),
% 7.30/5.23 inference(quant_inst,[status(thm)],[])).
% 7.30/5.23 tff(7965,plain,
% 7.30/5.23 (v116(constB57) <=> (v117(constB57) | v122(constB57))),
% 7.30/5.23 inference(unit_resolution,[status(thm)],[7964, 3344])).
% 7.30/5.23 tff(7966,plain,
% 7.30/5.23 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB57) <=> (v118(constB57) | v121(constB57)))),
% 7.30/5.23 inference(quant_inst,[status(thm)],[])).
% 7.30/5.23 tff(7967,plain,
% 7.30/5.23 (v117(constB57) <=> (v118(constB57) | v121(constB57))),
% 7.30/5.23 inference(unit_resolution,[status(thm)],[7966, 3353])).
% 7.30/5.23 tff(7968,plain,
% 7.30/5.23 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB57) <=> (v119(constB57) | v120(constB57)))),
% 7.30/5.23 inference(quant_inst,[status(thm)],[])).
% 7.30/5.23 tff(7969,plain,
% 7.30/5.23 (v118(constB57) <=> (v119(constB57) | v120(constB57))),
% 7.30/5.23 inference(unit_resolution,[status(thm)],[7968, 3362])).
% 7.30/5.23 tff(7970,plain,
% 7.30/5.23 ((v119(constB57) | v120(constB57)) | (~v120(constB57))),
% 7.30/5.23 inference(tautology,[status(thm)],[])).
% 7.30/5.23 tff(7971,plain,
% 7.30/5.23 (v119(constB57) | v120(constB57)),
% 7.30/5.23 inference(unit_resolution,[status(thm)],[7970, 7903])).
% 7.30/5.23 tff(7972,plain,
% 7.30/5.23 ((~(v118(constB57) <=> (v119(constB57) | v120(constB57)))) | v118(constB57) | (~(v119(constB57) | v120(constB57)))),
% 7.30/5.23 inference(tautology,[status(thm)],[])).
% 7.30/5.23 tff(7973,plain,
% 7.30/5.23 (v118(constB57)),
% 7.30/5.23 inference(unit_resolution,[status(thm)],[7972, 7971, 7969])).
% 7.30/5.23 tff(7974,plain,
% 7.30/5.23 ((v118(constB57) | v121(constB57)) | (~v118(constB57))),
% 7.30/5.23 inference(tautology,[status(thm)],[])).
% 7.30/5.23 tff(7975,plain,
% 7.30/5.23 (v118(constB57) | v121(constB57)),
% 7.30/5.23 inference(unit_resolution,[status(thm)],[7974, 7973])).
% 7.30/5.23 tff(7976,plain,
% 7.30/5.23 ((~(v117(constB57) <=> (v118(constB57) | v121(constB57)))) | v117(constB57) | (~(v118(constB57) | v121(constB57)))),
% 7.30/5.23 inference(tautology,[status(thm)],[])).
% 7.30/5.23 tff(7977,plain,
% 7.30/5.23 (v117(constB57)),
% 7.30/5.23 inference(unit_resolution,[status(thm)],[7976, 7975, 7967])).
% 7.30/5.23 tff(7978,plain,
% 7.30/5.23 ((v117(constB57) | v122(constB57)) | (~v117(constB57))),
% 7.30/5.23 inference(tautology,[status(thm)],[])).
% 7.30/5.23 tff(7979,plain,
% 7.30/5.23 (v117(constB57) | v122(constB57)),
% 7.30/5.23 inference(unit_resolution,[status(thm)],[7978, 7977])).
% 7.30/5.23 tff(7980,plain,
% 7.30/5.23 ((~(v116(constB57) <=> (v117(constB57) | v122(constB57)))) | v116(constB57) | (~(v117(constB57) | v122(constB57)))),
% 7.30/5.23 inference(tautology,[status(thm)],[])).
% 7.30/5.23 tff(7981,plain,
% 7.30/5.23 (v116(constB57)),
% 7.30/5.23 inference(unit_resolution,[status(thm)],[7980, 7979, 7965])).
% 7.30/5.23 tff(7982,plain,
% 7.30/5.23 ((v116(constB57) | v123(constB57)) | (~v116(constB57))),
% 7.30/5.23 inference(tautology,[status(thm)],[])).
% 7.30/5.23 tff(7983,plain,
% 7.30/5.23 (v116(constB57) | v123(constB57)),
% 7.30/5.23 inference(unit_resolution,[status(thm)],[7982, 7981])).
% 7.30/5.23 tff(7984,plain,
% 7.30/5.23 ((~(v115(constB57) <=> (v116(constB57) | v123(constB57)))) | v115(constB57) | (~(v116(constB57) | v123(constB57)))),
% 7.30/5.23 inference(tautology,[status(thm)],[])).
% 7.30/5.23 tff(7985,plain,
% 7.30/5.23 (v115(constB57)),
% 7.30/5.23 inference(unit_resolution,[status(thm)],[7984, 7983, 7963])).
% 7.30/5.23 tff(7986,plain,
% 7.30/5.23 ((v115(constB57) | v124(constB57)) | (~v115(constB57))),
% 7.30/5.23 inference(tautology,[status(thm)],[])).
% 7.30/5.23 tff(7987,plain,
% 7.30/5.23 (v115(constB57) | v124(constB57)),
% 7.30/5.23 inference(unit_resolution,[status(thm)],[7986, 7985])).
% 7.30/5.23 tff(7988,plain,
% 7.30/5.23 ((~(v114(constB57) <=> (v115(constB57) | v124(constB57)))) | v114(constB57) | (~(v115(constB57) | v124(constB57)))),
% 7.30/5.23 inference(tautology,[status(thm)],[])).
% 7.30/5.23 tff(7989,plain,
% 7.30/5.23 (v114(constB57)),
% 7.30/5.23 inference(unit_resolution,[status(thm)],[7988, 7987, 7961])).
% 7.30/5.23 tff(7990,plain,
% 7.30/5.23 ((v114(constB57) | v125(constB57)) | (~v114(constB57))),
% 7.30/5.23 inference(tautology,[status(thm)],[])).
% 7.30/5.23 tff(7991,plain,
% 7.30/5.23 (v114(constB57) | v125(constB57)),
% 7.30/5.23 inference(unit_resolution,[status(thm)],[7990, 7989])).
% 7.30/5.23 tff(7992,plain,
% 7.30/5.23 ((~(v113(constB57) <=> (v114(constB57) | v125(constB57)))) | v113(constB57) | (~(v114(constB57) | v125(constB57)))),
% 7.30/5.23 inference(tautology,[status(thm)],[])).
% 7.30/5.23 tff(7993,plain,
% 7.30/5.23 (v113(constB57)),
% 7.30/5.23 inference(unit_resolution,[status(thm)],[7992, 7991, 7959])).
% 7.30/5.23 tff(7994,plain,
% 7.30/5.23 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB57)) <=> v111(constB57))),
% 7.30/5.23 inference(quant_inst,[status(thm)],[])).
% 7.30/5.23 tff(7995,plain,
% 7.30/5.23 ((~v126(constB57)) <=> v111(constB57)),
% 7.30/5.23 inference(unit_resolution,[status(thm)],[7994, 3396])).
% 7.30/5.23 tff(7996,plain,
% 7.30/5.23 ((~((~v126(constB57)) <=> v111(constB57))) | v126(constB57) | v111(constB57)),
% 7.30/5.23 inference(tautology,[status(thm)],[])).
% 7.30/5.23 tff(7997,plain,
% 7.30/5.23 ((~((~v126(constB57)) <=> v111(constB57))) | v126(constB57)),
% 7.30/5.23 inference(unit_resolution,[status(thm)],[7996, 1337])).
% 7.30/5.23 tff(7998,plain,
% 7.30/5.23 (v126(constB57)),
% 7.30/5.23 inference(unit_resolution,[status(thm)],[7997, 7995])).
% 7.30/5.23 tff(7999,plain,
% 7.30/5.23 ((~((~v113(constB57)) | (~v126(constB57)))) | (~v113(constB57)) | (~v126(constB57))),
% 7.30/5.23 inference(tautology,[status(thm)],[])).
% 7.30/5.23 tff(8000,plain,
% 7.30/5.23 ((~((~v113(constB57)) | (~v126(constB57)))) | (~v113(constB57))),
% 7.30/5.23 inference(unit_resolution,[status(thm)],[7999, 7998])).
% 7.30/5.23 tff(8001,plain,
% 7.30/5.23 (~((~v113(constB57)) | (~v126(constB57)))),
% 7.30/5.23 inference(unit_resolution,[status(thm)],[8000, 7993])).
% 7.30/5.23 tff(8002,plain,
% 7.30/5.23 ((~(v112(constB57) <=> (~((~v113(constB57)) | (~v126(constB57)))))) | v112(constB57) | ((~v113(constB57)) | (~v126(constB57)))),
% 7.30/5.23 inference(tautology,[status(thm)],[])).
% 7.30/5.23 tff(8003,plain,
% 7.30/5.23 (v112(constB57)),
% 7.30/5.23 inference(unit_resolution,[status(thm)],[8002, 8001, 7957])).
% 7.30/5.23 tff(8004,plain,
% 7.30/5.23 ((v111(constB57) | v112(constB57)) | (~v112(constB57))),
% 7.30/5.23 inference(tautology,[status(thm)],[])).
% 7.30/5.23 tff(8005,plain,
% 7.30/5.23 (v111(constB57) | v112(constB57)),
% 7.30/5.23 inference(unit_resolution,[status(thm)],[8004, 8003])).
% 7.30/5.23 tff(8006,plain,
% 7.30/5.23 ((~(v108(constB57) <=> (v111(constB57) | v112(constB57)))) | v108(constB57) | (~(v111(constB57) | v112(constB57)))),
% 7.30/5.23 inference(tautology,[status(thm)],[])).
% 7.30/5.23 tff(8007,plain,
% 7.30/5.23 (v108(constB57)),
% 7.30/5.23 inference(unit_resolution,[status(thm)],[8006, 8005, 7955])).
% 7.30/5.23 tff(8008,plain,
% 7.30/5.23 ((~(v110(constB58) <=> v108(constB57))) | v110(constB58) | (~v108(constB57))),
% 7.30/5.23 inference(tautology,[status(thm)],[])).
% 7.30/5.23 tff(8009,plain,
% 7.30/5.23 (v110(constB58)),
% 7.30/5.23 inference(unit_resolution,[status(thm)],[8008, 8007, 7953])).
% 7.30/5.23 tff(8010,plain,
% 7.30/5.23 ((~((~v101(constB58)) | (~v110(constB58)))) | (~v101(constB58)) | (~v110(constB58))),
% 7.30/5.23 inference(tautology,[status(thm)],[])).
% 7.30/5.23 tff(8011,plain,
% 7.30/5.23 (~((~v101(constB58)) | (~v110(constB58)))),
% 7.30/5.23 inference(unit_resolution,[status(thm)],[8010, 8009, 7949])).
% 7.30/5.23 tff(8012,plain,
% 7.30/5.23 ((~(v100(constB58) <=> (~((~v101(constB58)) | (~v110(constB58)))))) | v100(constB58) | ((~v101(constB58)) | (~v110(constB58)))),
% 7.30/5.23 inference(tautology,[status(thm)],[])).
% 7.30/5.23 tff(8013,plain,
% 7.30/5.23 (v100(constB58)),
% 7.30/5.23 inference(unit_resolution,[status(thm)],[8012, 8011, 7921])).
% 7.30/5.23 tff(8014,plain,
% 7.30/5.23 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB58)) | (~(((~v90(constB58, bitIndex0)) <=> v129(constB58, bitIndex0)) | ((~v90(constB58, bitIndex2)) <=> v129(constB58, bitIndex2)) | ((~v90(constB58, bitIndex1)) <=> v129(constB58, bitIndex1)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB58)) | (~(((~v90(constB58, bitIndex0)) <=> v129(constB58, bitIndex0)) | ((~v90(constB58, bitIndex2)) <=> v129(constB58, bitIndex2)) | ((~v90(constB58, bitIndex1)) <=> v129(constB58, bitIndex1)))))),
% 7.30/5.23 inference(rewrite,[status(thm)],[])).
% 7.30/5.23 tff(8015,plain,
% 7.30/5.23 (((~v100(constB58)) | (~(((~v90(constB58, bitIndex2)) <=> v129(constB58, bitIndex2)) | ((~v90(constB58, bitIndex1)) <=> v129(constB58, bitIndex1)) | ((~v90(constB58, bitIndex0)) <=> v129(constB58, bitIndex0))))) <=> ((~v100(constB58)) | (~(((~v90(constB58, bitIndex0)) <=> v129(constB58, bitIndex0)) | ((~v90(constB58, bitIndex2)) <=> v129(constB58, bitIndex2)) | ((~v90(constB58, bitIndex1)) <=> v129(constB58, bitIndex1)))))),
% 7.30/5.23 inference(rewrite,[status(thm)],[])).
% 7.30/5.23 tff(8016,plain,
% 7.30/5.23 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB58)) | (~(((~v90(constB58, bitIndex2)) <=> v129(constB58, bitIndex2)) | ((~v90(constB58, bitIndex1)) <=> v129(constB58, bitIndex1)) | ((~v90(constB58, bitIndex0)) <=> v129(constB58, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB58)) | (~(((~v90(constB58, bitIndex0)) <=> v129(constB58, bitIndex0)) | ((~v90(constB58, bitIndex2)) <=> v129(constB58, bitIndex2)) | ((~v90(constB58, bitIndex1)) <=> v129(constB58, bitIndex1))))))),
% 7.30/5.23 inference(monotonicity,[status(thm)],[8015])).
% 7.30/5.23 tff(8017,plain,
% 7.30/5.23 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB58)) | (~(((~v90(constB58, bitIndex2)) <=> v129(constB58, bitIndex2)) | ((~v90(constB58, bitIndex1)) <=> v129(constB58, bitIndex1)) | ((~v90(constB58, bitIndex0)) <=> v129(constB58, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB58)) | (~(((~v90(constB58, bitIndex0)) <=> v129(constB58, bitIndex0)) | ((~v90(constB58, bitIndex2)) <=> v129(constB58, bitIndex2)) | ((~v90(constB58, bitIndex1)) <=> v129(constB58, bitIndex1)))))),
% 7.30/5.23 inference(transitivity,[status(thm)],[8016, 8014])).
% 7.30/5.23 tff(8018,plain,
% 7.30/5.23 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB58)) | (~(((~v90(constB58, bitIndex2)) <=> v129(constB58, bitIndex2)) | ((~v90(constB58, bitIndex1)) <=> v129(constB58, bitIndex1)) | ((~v90(constB58, bitIndex0)) <=> v129(constB58, bitIndex0)))))),
% 7.30/5.23 inference(quant_inst,[status(thm)],[])).
% 7.30/5.23 tff(8019,plain,
% 7.30/5.23 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB58)) | (~(((~v90(constB58, bitIndex0)) <=> v129(constB58, bitIndex0)) | ((~v90(constB58, bitIndex2)) <=> v129(constB58, bitIndex2)) | ((~v90(constB58, bitIndex1)) <=> v129(constB58, bitIndex1))))),
% 7.30/5.23 inference(modus_ponens,[status(thm)],[8018, 8017])).
% 7.30/5.23 tff(8020,plain,
% 7.30/5.23 ((~v100(constB58)) | (~(((~v90(constB58, bitIndex0)) <=> v129(constB58, bitIndex0)) | ((~v90(constB58, bitIndex2)) <=> v129(constB58, bitIndex2)) | ((~v90(constB58, bitIndex1)) <=> v129(constB58, bitIndex1))))),
% 7.30/5.23 inference(unit_resolution,[status(thm)],[8019, 3429])).
% 7.30/5.23 tff(8021,plain,
% 7.30/5.23 (~(((~v90(constB58, bitIndex0)) <=> v129(constB58, bitIndex0)) | ((~v90(constB58, bitIndex2)) <=> v129(constB58, bitIndex2)) | ((~v90(constB58, bitIndex1)) <=> v129(constB58, bitIndex1)))),
% 7.30/5.23 inference(unit_resolution,[status(thm)],[8020, 8013])).
% 7.30/5.23 tff(8022,plain,
% 7.30/5.23 ((((~v90(constB58, bitIndex0)) <=> v129(constB58, bitIndex0)) | ((~v90(constB58, bitIndex2)) <=> v129(constB58, bitIndex2)) | ((~v90(constB58, bitIndex1)) <=> v129(constB58, bitIndex1))) | (~((~v90(constB58, bitIndex2)) <=> v129(constB58, bitIndex2)))),
% 7.30/5.23 inference(tautology,[status(thm)],[])).
% 7.30/5.23 tff(8023,plain,
% 7.30/5.23 (~((~v90(constB58, bitIndex2)) <=> v129(constB58, bitIndex2))),
% 7.30/5.23 inference(unit_resolution,[status(thm)],[8022, 8021])).
% 7.30/5.23 tff(8024,plain,
% 7.30/5.23 (((~v90(constB58, bitIndex2)) <=> v129(constB58, bitIndex2)) | (~v90(constB58, bitIndex2)) | v129(constB58, bitIndex2)),
% 7.30/5.23 inference(tautology,[status(thm)],[])).
% 7.30/5.23 tff(8025,plain,
% 7.30/5.23 (~v90(constB58, bitIndex2)),
% 7.30/5.23 inference(unit_resolution,[status(thm)],[8024, 8023, 7917])).
% 7.30/5.23 tff(8026,plain,
% 7.30/5.23 (((~v90(constB59, bitIndex2)) <=> v90(constB58, bitIndex2)) | (~v90(constB59, bitIndex2)) | v90(constB58, bitIndex2)),
% 7.30/5.23 inference(tautology,[status(thm)],[])).
% 7.30/5.23 tff(8027,plain,
% 7.30/5.23 (~v90(constB59, bitIndex2)),
% 7.30/5.23 inference(unit_resolution,[status(thm)],[8026, 8025, 1321])).
% 7.30/5.23 tff(8028,plain,
% 7.30/5.23 ((((~v90(constB59, bitIndex1)) <=> v90(constB58, bitIndex1)) | ((~v90(constB59, bitIndex2)) <=> v90(constB58, bitIndex2)) | ((~v90(constB59, bitIndex0)) <=> v90(constB58, bitIndex0))) | (~((~v90(constB59, bitIndex0)) <=> v90(constB58, bitIndex0)))),
% 7.30/5.23 inference(tautology,[status(thm)],[])).
% 7.30/5.23 tff(8029,plain,
% 7.30/5.23 (~((~v90(constB59, bitIndex0)) <=> v90(constB58, bitIndex0))),
% 7.30/5.23 inference(unit_resolution,[status(thm)],[8028, 1319])).
% 7.30/5.23 tff(8030,plain,
% 7.30/5.23 ((((~v129(constB58, bitIndex2)) <=> v127(constB57, bitIndex2)) | ((~v129(constB58, bitIndex1)) <=> v127(constB57, bitIndex1)) | ((~v129(constB58, bitIndex0)) <=> v127(constB57, bitIndex0))) | (~((~v129(constB58, bitIndex0)) <=> v127(constB57, bitIndex0)))),
% 7.30/5.23 inference(tautology,[status(thm)],[])).
% 7.30/5.23 tff(8031,plain,
% 7.30/5.23 (~((~v129(constB58, bitIndex0)) <=> v127(constB57, bitIndex0))),
% 7.30/5.23 inference(unit_resolution,[status(thm)],[8030, 1328])).
% 7.30/5.23 tff(8032,plain,
% 7.30/5.23 ((((~v127(constB57, bitIndex2)) <=> v130(constB57, bitIndex2)) | ((~v127(constB57, bitIndex1)) <=> v130(constB57, bitIndex1)) | ((~v127(constB57, bitIndex0)) <=> v130(constB57, bitIndex0))) | (~((~v127(constB57, bitIndex0)) <=> v130(constB57, bitIndex0)))),
% 7.30/5.23 inference(tautology,[status(thm)],[])).
% 7.30/5.23 tff(8033,plain,
% 7.30/5.23 (~((~v127(constB57, bitIndex0)) <=> v130(constB57, bitIndex0))),
% 7.30/5.23 inference(unit_resolution,[status(thm)],[8032, 1342])).
% 7.30/5.23 tff(8034,plain,
% 7.30/5.23 ((v130(constB57, bitIndex2) | v130(constB57, bitIndex0) | (~v130(constB57, bitIndex1))) | (~v130(constB57, bitIndex0))),
% 7.30/5.23 inference(tautology,[status(thm)],[])).
% 7.30/5.23 tff(8035,plain,
% 7.30/5.23 (~v130(constB57, bitIndex0)),
% 7.30/5.23 inference(unit_resolution,[status(thm)],[8034, 7911])).
% 7.30/5.23 tff(8036,plain,
% 7.30/5.23 (((~v127(constB57, bitIndex0)) <=> v130(constB57, bitIndex0)) | (~v127(constB57, bitIndex0)) | v130(constB57, bitIndex0)),
% 7.30/5.23 inference(tautology,[status(thm)],[])).
% 7.30/5.23 tff(8037,plain,
% 7.30/5.23 (~v127(constB57, bitIndex0)),
% 7.30/5.23 inference(unit_resolution,[status(thm)],[8036, 8035, 8033])).
% 7.30/5.23 tff(8038,plain,
% 7.30/5.23 (((~v129(constB58, bitIndex0)) <=> v127(constB57, bitIndex0)) | (~v129(constB58, bitIndex0)) | v127(constB57, bitIndex0)),
% 7.30/5.23 inference(tautology,[status(thm)],[])).
% 7.30/5.23 tff(8039,plain,
% 7.30/5.23 (~v129(constB58, bitIndex0)),
% 7.30/5.23 inference(unit_resolution,[status(thm)],[8038, 8037, 8031])).
% 7.30/5.23 tff(8040,plain,
% 7.30/5.23 ((((~v90(constB58, bitIndex0)) <=> v129(constB58, bitIndex0)) | ((~v90(constB58, bitIndex2)) <=> v129(constB58, bitIndex2)) | ((~v90(constB58, bitIndex1)) <=> v129(constB58, bitIndex1))) | (~((~v90(constB58, bitIndex0)) <=> v129(constB58, bitIndex0)))),
% 7.30/5.23 inference(tautology,[status(thm)],[])).
% 7.30/5.23 tff(8041,plain,
% 7.30/5.23 (~((~v90(constB58, bitIndex0)) <=> v129(constB58, bitIndex0))),
% 7.30/5.23 inference(unit_resolution,[status(thm)],[8040, 8021])).
% 7.30/5.23 tff(8042,plain,
% 7.30/5.23 (((~v90(constB58, bitIndex0)) <=> v129(constB58, bitIndex0)) | (~v90(constB58, bitIndex0)) | v129(constB58, bitIndex0)),
% 7.30/5.23 inference(tautology,[status(thm)],[])).
% 7.30/5.23 tff(8043,plain,
% 7.30/5.23 (~v90(constB58, bitIndex0)),
% 7.30/5.23 inference(unit_resolution,[status(thm)],[8042, 8041, 8039])).
% 7.30/5.23 tff(8044,plain,
% 7.30/5.23 (((~v90(constB59, bitIndex0)) <=> v90(constB58, bitIndex0)) | (~v90(constB59, bitIndex0)) | v90(constB58, bitIndex0)),
% 7.30/5.23 inference(tautology,[status(thm)],[])).
% 7.30/5.23 tff(8045,plain,
% 7.30/5.23 (~v90(constB59, bitIndex0)),
% 7.30/5.23 inference(unit_resolution,[status(thm)],[8044, 8043, 8029])).
% 7.30/5.23 tff(8046,plain,
% 7.30/5.23 ((((~v90(constB59, bitIndex1)) <=> v90(constB58, bitIndex1)) | ((~v90(constB59, bitIndex2)) <=> v90(constB58, bitIndex2)) | ((~v90(constB59, bitIndex0)) <=> v90(constB58, bitIndex0))) | (~((~v90(constB59, bitIndex1)) <=> v90(constB58, bitIndex1)))),
% 7.30/5.23 inference(tautology,[status(thm)],[])).
% 7.30/5.23 tff(8047,plain,
% 7.30/5.23 (~((~v90(constB59, bitIndex1)) <=> v90(constB58, bitIndex1))),
% 7.30/5.23 inference(unit_resolution,[status(thm)],[8046, 1319])).
% 7.30/5.23 tff(8048,plain,
% 7.30/5.23 ((((~v129(constB58, bitIndex2)) <=> v127(constB57, bitIndex2)) | ((~v129(constB58, bitIndex1)) <=> v127(constB57, bitIndex1)) | ((~v129(constB58, bitIndex0)) <=> v127(constB57, bitIndex0))) | (~((~v129(constB58, bitIndex1)) <=> v127(constB57, bitIndex1)))),
% 7.30/5.23 inference(tautology,[status(thm)],[])).
% 7.30/5.23 tff(8049,plain,
% 7.30/5.23 (~((~v129(constB58, bitIndex1)) <=> v127(constB57, bitIndex1))),
% 7.30/5.23 inference(unit_resolution,[status(thm)],[8048, 1328])).
% 7.30/5.23 tff(8050,plain,
% 7.30/5.23 ((((~v127(constB57, bitIndex2)) <=> v130(constB57, bitIndex2)) | ((~v127(constB57, bitIndex1)) <=> v130(constB57, bitIndex1)) | ((~v127(constB57, bitIndex0)) <=> v130(constB57, bitIndex0))) | (~((~v127(constB57, bitIndex1)) <=> v130(constB57, bitIndex1)))),
% 7.30/5.23 inference(tautology,[status(thm)],[])).
% 7.30/5.23 tff(8051,plain,
% 7.30/5.23 (~((~v127(constB57, bitIndex1)) <=> v130(constB57, bitIndex1))),
% 7.30/5.23 inference(unit_resolution,[status(thm)],[8050, 1342])).
% 7.30/5.23 tff(8052,plain,
% 7.30/5.23 ((v130(constB57, bitIndex2) | v130(constB57, bitIndex0) | (~v130(constB57, bitIndex1))) | v130(constB57, bitIndex1)),
% 7.30/5.23 inference(tautology,[status(thm)],[])).
% 7.30/5.23 tff(8053,plain,
% 7.30/5.23 (v130(constB57, bitIndex1)),
% 7.30/5.23 inference(unit_resolution,[status(thm)],[8052, 7911])).
% 7.30/5.23 tff(8054,plain,
% 7.30/5.23 (((~v127(constB57, bitIndex1)) <=> v130(constB57, bitIndex1)) | v127(constB57, bitIndex1) | (~v130(constB57, bitIndex1))),
% 7.30/5.23 inference(tautology,[status(thm)],[])).
% 7.30/5.23 tff(8055,plain,
% 7.30/5.23 (v127(constB57, bitIndex1)),
% 7.30/5.23 inference(unit_resolution,[status(thm)],[8054, 8053, 8051])).
% 7.30/5.23 tff(8056,plain,
% 7.30/5.23 (((~v129(constB58, bitIndex1)) <=> v127(constB57, bitIndex1)) | v129(constB58, bitIndex1) | (~v127(constB57, bitIndex1))),
% 7.30/5.23 inference(tautology,[status(thm)],[])).
% 7.30/5.23 tff(8057,plain,
% 7.30/5.23 (v129(constB58, bitIndex1)),
% 7.30/5.23 inference(unit_resolution,[status(thm)],[8056, 8055, 8049])).
% 7.30/5.23 tff(8058,plain,
% 7.30/5.23 ((((~v90(constB58, bitIndex0)) <=> v129(constB58, bitIndex0)) | ((~v90(constB58, bitIndex2)) <=> v129(constB58, bitIndex2)) | ((~v90(constB58, bitIndex1)) <=> v129(constB58, bitIndex1))) | (~((~v90(constB58, bitIndex1)) <=> v129(constB58, bitIndex1)))),
% 7.30/5.23 inference(tautology,[status(thm)],[])).
% 7.30/5.23 tff(8059,plain,
% 7.30/5.23 (~((~v90(constB58, bitIndex1)) <=> v129(constB58, bitIndex1))),
% 7.30/5.23 inference(unit_resolution,[status(thm)],[8058, 8021])).
% 7.30/5.23 tff(8060,plain,
% 7.30/5.23 (((~v90(constB58, bitIndex1)) <=> v129(constB58, bitIndex1)) | v90(constB58, bitIndex1) | (~v129(constB58, bitIndex1))),
% 7.30/5.23 inference(tautology,[status(thm)],[])).
% 7.30/5.23 tff(8061,plain,
% 7.30/5.23 (v90(constB58, bitIndex1)),
% 7.30/5.23 inference(unit_resolution,[status(thm)],[8060, 8059, 8057])).
% 7.30/5.23 tff(8062,plain,
% 7.30/5.23 (((~v90(constB59, bitIndex1)) <=> v90(constB58, bitIndex1)) | v90(constB59, bitIndex1) | (~v90(constB58, bitIndex1))),
% 7.30/5.23 inference(tautology,[status(thm)],[])).
% 7.30/5.23 tff(8063,plain,
% 7.30/5.23 (v90(constB59, bitIndex1)),
% 7.30/5.23 inference(unit_resolution,[status(thm)],[8062, 8061, 8047])).
% 7.30/5.23 tff(8064,plain,
% 7.30/5.23 ((~(v90(constB59, bitIndex2) | v90(constB59, bitIndex0) | (~v90(constB59, bitIndex1)))) | v90(constB59, bitIndex2) | v90(constB59, bitIndex0) | (~v90(constB59, bitIndex1))),
% 7.30/5.23 inference(tautology,[status(thm)],[])).
% 7.30/5.23 tff(8065,plain,
% 7.30/5.23 (~(v90(constB59, bitIndex2) | v90(constB59, bitIndex0) | (~v90(constB59, bitIndex1)))),
% 7.30/5.23 inference(unit_resolution,[status(thm)],[8064, 8063, 8045, 8027])).
% 7.30/5.23 tff(8066,plain,
% 7.30/5.23 ((~(v121(constB59) <=> (~(v90(constB59, bitIndex2) | v90(constB59, bitIndex0) | (~v90(constB59, bitIndex1)))))) | v121(constB59) | (v90(constB59, bitIndex2) | v90(constB59, bitIndex0) | (~v90(constB59, bitIndex1)))),
% 7.30/5.23 inference(tautology,[status(thm)],[])).
% 7.30/5.23 tff(8067,plain,
% 7.30/5.23 (v121(constB59)),
% 7.30/5.23 inference(unit_resolution,[status(thm)],[8066, 8065, 1285])).
% 7.30/5.23 tff(8068,plain,
% 7.30/5.23 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB59)) | (~(v130(constB59, bitIndex2) | (~v130(constB59, bitIndex1)) | (~v130(constB59, bitIndex0)))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | (~v121(constB59)) | (~(v130(constB59, bitIndex2) | (~v130(constB59, bitIndex1)) | (~v130(constB59, bitIndex0)))))),
% 7.30/5.23 inference(rewrite,[status(thm)],[])).
% 7.30/5.23 tff(8069,plain,
% 7.30/5.23 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB59)) | (~(v130(constB59, bitIndex2) | (~v130(constB59, bitIndex1)) | (~v130(constB59, bitIndex0)))))),
% 7.30/5.23 inference(quant_inst,[status(thm)],[])).
% 7.30/5.23 tff(8070,plain,
% 7.30/5.24 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | (~v121(constB59)) | (~(v130(constB59, bitIndex2) | (~v130(constB59, bitIndex1)) | (~v130(constB59, bitIndex0))))),
% 7.30/5.24 inference(modus_ponens,[status(thm)],[8069, 8068])).
% 7.30/5.24 tff(8071,plain,
% 7.30/5.24 ((~v121(constB59)) | (~(v130(constB59, bitIndex2) | (~v130(constB59, bitIndex1)) | (~v130(constB59, bitIndex0))))),
% 7.30/5.24 inference(unit_resolution,[status(thm)],[8070, 4055])).
% 7.30/5.24 tff(8072,plain,
% 7.30/5.24 (~(v130(constB59, bitIndex2) | (~v130(constB59, bitIndex1)) | (~v130(constB59, bitIndex0)))),
% 7.30/5.24 inference(unit_resolution,[status(thm)],[8071, 8067])).
% 7.30/5.24 tff(8073,plain,
% 7.30/5.24 ((v130(constB59, bitIndex2) | (~v130(constB59, bitIndex1)) | (~v130(constB59, bitIndex0))) | (~v130(constB59, bitIndex2))),
% 7.30/5.24 inference(tautology,[status(thm)],[])).
% 7.30/5.24 tff(8074,plain,
% 7.30/5.24 (~v130(constB59, bitIndex2)),
% 7.30/5.24 inference(unit_resolution,[status(thm)],[8073, 8072])).
% 7.30/5.24 tff(8075,plain,
% 7.30/5.24 (((~v127(constB59, bitIndex2)) <=> v130(constB59, bitIndex2)) | (~v127(constB59, bitIndex2)) | v130(constB59, bitIndex2)),
% 7.30/5.24 inference(tautology,[status(thm)],[])).
% 7.30/5.24 tff(8076,plain,
% 7.30/5.24 (~v127(constB59, bitIndex2)),
% 7.30/5.24 inference(unit_resolution,[status(thm)],[8075, 8074, 1278])).
% 7.30/5.24 tff(8077,plain,
% 7.30/5.24 (((~v129(constB60, bitIndex2)) <=> v127(constB59, bitIndex2)) | (~v129(constB60, bitIndex2)) | v127(constB59, bitIndex2)),
% 7.30/5.24 inference(tautology,[status(thm)],[])).
% 7.30/5.24 tff(8078,plain,
% 7.30/5.24 (~v129(constB60, bitIndex2)),
% 7.30/5.24 inference(unit_resolution,[status(thm)],[8077, 8076, 1264])).
% 7.30/5.24 tff(8079,plain,
% 7.30/5.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB59, constB60)) | (v100(constB60) <=> (~((~v101(constB60)) | (~v110(constB60))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB59, constB60)) | (v100(constB60) <=> (~((~v101(constB60)) | (~v110(constB60))))))),
% 7.30/5.24 inference(rewrite,[status(thm)],[])).
% 7.30/5.24 tff(8080,plain,
% 7.30/5.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB59, constB60)) | (v100(constB60) <=> (~((~v101(constB60)) | (~v110(constB60))))))),
% 7.30/5.24 inference(quant_inst,[status(thm)],[])).
% 7.30/5.24 tff(8081,plain,
% 7.30/5.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB59, constB60)) | (v100(constB60) <=> (~((~v101(constB60)) | (~v110(constB60)))))),
% 7.30/5.24 inference(modus_ponens,[status(thm)],[8080, 8079])).
% 7.30/5.24 tff(8082,plain,
% 7.30/5.24 (v100(constB60) <=> (~((~v101(constB60)) | (~v110(constB60))))),
% 7.30/5.24 inference(unit_resolution,[status(thm)],[8081, 1258, 445])).
% 7.30/5.24 tff(8083,plain,
% 7.30/5.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB59, constB60)) | (v101(constB60) <=> (~((~v1(constB60)) | (~v102(constB60))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB59, constB60)) | (v101(constB60) <=> (~((~v1(constB60)) | (~v102(constB60))))))),
% 7.30/5.24 inference(rewrite,[status(thm)],[])).
% 7.30/5.24 tff(8084,plain,
% 7.30/5.24 (((~nextState(constB59, constB60)) | (v101(constB60) <=> (~((~v102(constB60)) | (~v1(constB60)))))) <=> ((~nextState(constB59, constB60)) | (v101(constB60) <=> (~((~v1(constB60)) | (~v102(constB60))))))),
% 7.30/5.24 inference(rewrite,[status(thm)],[])).
% 7.30/5.24 tff(8085,plain,
% 7.30/5.24 (((~![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) <=> (~((~v1(constB60)) | (~v102(constB60)))))))),
% 7.30/5.24 inference(monotonicity,[status(thm)],[8084])).
% 7.30/5.24 tff(8086,plain,
% 7.30/5.24 (((~![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) <=> (~((~v1(constB60)) | (~v102(constB60))))))),
% 7.30/5.24 inference(transitivity,[status(thm)],[8085, 8083])).
% 7.30/5.24 tff(8087,plain,
% 7.30/5.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB59, constB60)) | (v101(constB60) <=> (~((~v102(constB60)) | (~v1(constB60))))))),
% 7.30/5.24 inference(quant_inst,[status(thm)],[])).
% 7.30/5.24 tff(8088,plain,
% 7.30/5.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB59, constB60)) | (v101(constB60) <=> (~((~v1(constB60)) | (~v102(constB60)))))),
% 7.30/5.24 inference(modus_ponens,[status(thm)],[8087, 8086])).
% 7.30/5.24 tff(8089,plain,
% 7.30/5.24 (v101(constB60) <=> (~((~v1(constB60)) | (~v102(constB60))))),
% 7.30/5.24 inference(unit_resolution,[status(thm)],[8088, 1258, 465])).
% 7.30/5.24 tff(8090,plain,
% 7.30/5.24 (((~![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)))),
% 7.30/5.24 inference(rewrite,[status(thm)],[])).
% 7.30/5.24 tff(8091,plain,
% 7.30/5.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB59, constB60)) | ((~v102(constB60)) <=> v104(constB60)))),
% 7.30/5.24 inference(quant_inst,[status(thm)],[])).
% 7.30/5.24 tff(8092,plain,
% 7.30/5.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB59, constB60)) | ((~v102(constB60)) <=> v104(constB60))),
% 7.30/5.24 inference(modus_ponens,[status(thm)],[8091, 8090])).
% 7.30/5.24 tff(8093,plain,
% 7.30/5.24 ((~v102(constB60)) <=> v104(constB60)),
% 7.30/5.24 inference(unit_resolution,[status(thm)],[8092, 1258, 3244])).
% 7.30/5.24 tff(8094,plain,
% 7.30/5.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB59, constB60)) | (v104(constB60) <=> v1(constB59)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB59, constB60)) | (v104(constB60) <=> v1(constB59)))),
% 7.30/5.24 inference(rewrite,[status(thm)],[])).
% 7.30/5.24 tff(8095,plain,
% 7.30/5.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB59, constB60)) | (v104(constB60) <=> v1(constB59)))),
% 7.30/5.24 inference(quant_inst,[status(thm)],[])).
% 7.30/5.24 tff(8096,plain,
% 7.30/5.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB59, constB60)) | (v104(constB60) <=> v1(constB59))),
% 7.30/5.24 inference(modus_ponens,[status(thm)],[8095, 8094])).
% 7.30/5.24 tff(8097,plain,
% 7.30/5.24 (v104(constB60) <=> v1(constB59)),
% 7.30/5.24 inference(unit_resolution,[status(thm)],[8096, 1258, 3258])).
% 7.30/5.24 tff(8098,plain,
% 7.30/5.24 ((~(v104(constB60) <=> v1(constB59))) | (~v104(constB60)) | v1(constB59)),
% 7.30/5.24 inference(tautology,[status(thm)],[])).
% 7.30/5.24 tff(8099,plain,
% 7.30/5.24 ((~(v104(constB60) <=> v1(constB59))) | (~v104(constB60))),
% 7.30/5.24 inference(unit_resolution,[status(thm)],[8098, 1302])).
% 7.30/5.24 tff(8100,plain,
% 7.30/5.24 (~v104(constB60)),
% 7.30/5.24 inference(unit_resolution,[status(thm)],[8099, 8097])).
% 7.30/5.24 tff(8101,plain,
% 7.30/5.24 ((~((~v102(constB60)) <=> v104(constB60))) | v102(constB60) | v104(constB60)),
% 7.30/5.24 inference(tautology,[status(thm)],[])).
% 7.30/5.24 tff(8102,plain,
% 7.30/5.24 (v102(constB60)),
% 7.30/5.24 inference(unit_resolution,[status(thm)],[8101, 8100, 8093])).
% 7.30/5.24 tff(8103,plain,
% 7.30/5.24 (v1(constB60) <=> v1(constB60)),
% 7.30/5.24 inference(rewrite,[status(thm)],[])).
% 7.30/5.24 tff(8104,axiom,(v1(constB60)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_60')).
% 7.30/5.24 tff(8105,plain,
% 7.30/5.24 (v1(constB60)),
% 7.30/5.24 inference(modus_ponens,[status(thm)],[8104, 8103])).
% 7.30/5.24 tff(8106,plain,
% 7.30/5.24 ((~((~v1(constB60)) | (~v102(constB60)))) | (~v1(constB60)) | (~v102(constB60))),
% 7.30/5.24 inference(tautology,[status(thm)],[])).
% 7.30/5.24 tff(8107,plain,
% 7.30/5.24 ((~((~v1(constB60)) | (~v102(constB60)))) | (~v102(constB60))),
% 7.30/5.24 inference(unit_resolution,[status(thm)],[8106, 8105])).
% 7.30/5.24 tff(8108,plain,
% 7.30/5.24 (~((~v1(constB60)) | (~v102(constB60)))),
% 7.30/5.24 inference(unit_resolution,[status(thm)],[8107, 8102])).
% 7.30/5.24 tff(8109,plain,
% 7.30/5.24 ((~(v101(constB60) <=> (~((~v1(constB60)) | (~v102(constB60)))))) | v101(constB60) | ((~v1(constB60)) | (~v102(constB60)))),
% 7.30/5.24 inference(tautology,[status(thm)],[])).
% 7.30/5.24 tff(8110,plain,
% 7.30/5.24 (v101(constB60)),
% 7.30/5.24 inference(unit_resolution,[status(thm)],[8109, 8108, 8089])).
% 7.30/5.24 tff(8111,plain,
% 7.30/5.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB59, constB60)) | (v110(constB60) <=> v108(constB59)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB59, constB60)) | (v110(constB60) <=> v108(constB59)))),
% 7.30/5.24 inference(rewrite,[status(thm)],[])).
% 7.30/5.24 tff(8112,plain,
% 7.30/5.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB59, constB60)) | (v110(constB60) <=> v108(constB59)))),
% 7.30/5.24 inference(quant_inst,[status(thm)],[])).
% 7.30/5.24 tff(8113,plain,
% 7.30/5.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB59, constB60)) | (v110(constB60) <=> v108(constB59))),
% 7.30/5.24 inference(modus_ponens,[status(thm)],[8112, 8111])).
% 7.30/5.24 tff(8114,plain,
% 7.30/5.24 (v110(constB60) <=> v108(constB59)),
% 7.30/5.24 inference(unit_resolution,[status(thm)],[8113, 1258, 3285])).
% 7.30/5.24 tff(8115,plain,
% 7.30/5.24 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB59) <=> (v111(constB59) | v112(constB59)))),
% 7.30/5.24 inference(quant_inst,[status(thm)],[])).
% 7.30/5.24 tff(8116,plain,
% 7.30/5.24 (v108(constB59) <=> (v111(constB59) | v112(constB59))),
% 7.30/5.24 inference(unit_resolution,[status(thm)],[8115, 3296])).
% 7.30/5.24 tff(8117,plain,
% 7.30/5.24 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB59) <=> (~((~v113(constB59)) | (~v126(constB59)))))),
% 7.30/5.24 inference(quant_inst,[status(thm)],[])).
% 7.30/5.24 tff(8118,plain,
% 7.30/5.24 (v112(constB59) <=> (~((~v113(constB59)) | (~v126(constB59))))),
% 7.30/5.24 inference(unit_resolution,[status(thm)],[8117, 3308])).
% 7.30/5.24 tff(8119,plain,
% 7.30/5.24 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB59) <=> (v114(constB59) | v125(constB59)))),
% 7.30/5.24 inference(quant_inst,[status(thm)],[])).
% 7.30/5.24 tff(8120,plain,
% 7.30/5.24 (v113(constB59) <=> (v114(constB59) | v125(constB59))),
% 7.30/5.24 inference(unit_resolution,[status(thm)],[8119, 3317])).
% 7.30/5.24 tff(8121,plain,
% 7.30/5.24 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB59) <=> (v115(constB59) | v124(constB59)))),
% 7.30/5.24 inference(quant_inst,[status(thm)],[])).
% 7.30/5.24 tff(8122,plain,
% 7.30/5.24 (v114(constB59) <=> (v115(constB59) | v124(constB59))),
% 7.30/5.24 inference(unit_resolution,[status(thm)],[8121, 3326])).
% 7.30/5.24 tff(8123,plain,
% 7.30/5.24 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB59) <=> (v116(constB59) | v123(constB59)))),
% 7.30/5.24 inference(quant_inst,[status(thm)],[])).
% 7.30/5.24 tff(8124,plain,
% 7.30/5.24 (v115(constB59) <=> (v116(constB59) | v123(constB59))),
% 7.30/5.24 inference(unit_resolution,[status(thm)],[8123, 3335])).
% 7.30/5.24 tff(8125,plain,
% 7.30/5.24 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB59) <=> (v117(constB59) | v122(constB59)))),
% 7.30/5.24 inference(quant_inst,[status(thm)],[])).
% 7.30/5.24 tff(8126,plain,
% 7.30/5.24 (v116(constB59) <=> (v117(constB59) | v122(constB59))),
% 7.30/5.24 inference(unit_resolution,[status(thm)],[8125, 3344])).
% 7.30/5.24 tff(8127,plain,
% 7.30/5.24 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB59) <=> (v118(constB59) | v121(constB59)))),
% 7.30/5.24 inference(quant_inst,[status(thm)],[])).
% 7.30/5.24 tff(8128,plain,
% 7.30/5.24 (v117(constB59) <=> (v118(constB59) | v121(constB59))),
% 7.30/5.24 inference(unit_resolution,[status(thm)],[8127, 3353])).
% 7.30/5.24 tff(8129,plain,
% 7.30/5.24 ((v118(constB59) | v121(constB59)) | (~v121(constB59))),
% 7.30/5.24 inference(tautology,[status(thm)],[])).
% 7.30/5.24 tff(8130,plain,
% 7.30/5.24 (v118(constB59) | v121(constB59)),
% 7.30/5.24 inference(unit_resolution,[status(thm)],[8129, 8067])).
% 7.30/5.24 tff(8131,plain,
% 7.30/5.24 ((~(v117(constB59) <=> (v118(constB59) | v121(constB59)))) | v117(constB59) | (~(v118(constB59) | v121(constB59)))),
% 7.30/5.24 inference(tautology,[status(thm)],[])).
% 7.30/5.24 tff(8132,plain,
% 7.30/5.24 (v117(constB59)),
% 7.30/5.24 inference(unit_resolution,[status(thm)],[8131, 8130, 8128])).
% 7.30/5.24 tff(8133,plain,
% 7.30/5.24 ((v117(constB59) | v122(constB59)) | (~v117(constB59))),
% 7.30/5.24 inference(tautology,[status(thm)],[])).
% 7.30/5.24 tff(8134,plain,
% 7.30/5.24 (v117(constB59) | v122(constB59)),
% 7.30/5.24 inference(unit_resolution,[status(thm)],[8133, 8132])).
% 7.30/5.24 tff(8135,plain,
% 7.30/5.24 ((~(v116(constB59) <=> (v117(constB59) | v122(constB59)))) | v116(constB59) | (~(v117(constB59) | v122(constB59)))),
% 7.30/5.24 inference(tautology,[status(thm)],[])).
% 7.30/5.24 tff(8136,plain,
% 7.30/5.24 (v116(constB59)),
% 7.30/5.24 inference(unit_resolution,[status(thm)],[8135, 8134, 8126])).
% 7.30/5.24 tff(8137,plain,
% 7.30/5.24 ((v116(constB59) | v123(constB59)) | (~v116(constB59))),
% 7.30/5.24 inference(tautology,[status(thm)],[])).
% 7.30/5.24 tff(8138,plain,
% 7.30/5.24 (v116(constB59) | v123(constB59)),
% 7.30/5.24 inference(unit_resolution,[status(thm)],[8137, 8136])).
% 7.30/5.24 tff(8139,plain,
% 7.30/5.24 ((~(v115(constB59) <=> (v116(constB59) | v123(constB59)))) | v115(constB59) | (~(v116(constB59) | v123(constB59)))),
% 7.30/5.24 inference(tautology,[status(thm)],[])).
% 7.30/5.24 tff(8140,plain,
% 7.30/5.24 (v115(constB59)),
% 7.30/5.24 inference(unit_resolution,[status(thm)],[8139, 8138, 8124])).
% 7.30/5.24 tff(8141,plain,
% 7.30/5.24 ((v115(constB59) | v124(constB59)) | (~v115(constB59))),
% 7.30/5.24 inference(tautology,[status(thm)],[])).
% 7.30/5.24 tff(8142,plain,
% 7.30/5.24 (v115(constB59) | v124(constB59)),
% 7.30/5.24 inference(unit_resolution,[status(thm)],[8141, 8140])).
% 7.30/5.24 tff(8143,plain,
% 7.30/5.24 ((~(v114(constB59) <=> (v115(constB59) | v124(constB59)))) | v114(constB59) | (~(v115(constB59) | v124(constB59)))),
% 7.30/5.24 inference(tautology,[status(thm)],[])).
% 7.30/5.24 tff(8144,plain,
% 7.30/5.24 (v114(constB59)),
% 7.30/5.24 inference(unit_resolution,[status(thm)],[8143, 8142, 8122])).
% 7.30/5.24 tff(8145,plain,
% 7.30/5.24 ((v114(constB59) | v125(constB59)) | (~v114(constB59))),
% 7.30/5.24 inference(tautology,[status(thm)],[])).
% 7.30/5.24 tff(8146,plain,
% 7.30/5.24 (v114(constB59) | v125(constB59)),
% 7.30/5.24 inference(unit_resolution,[status(thm)],[8145, 8144])).
% 7.30/5.24 tff(8147,plain,
% 7.30/5.24 ((~(v113(constB59) <=> (v114(constB59) | v125(constB59)))) | v113(constB59) | (~(v114(constB59) | v125(constB59)))),
% 7.30/5.24 inference(tautology,[status(thm)],[])).
% 7.30/5.24 tff(8148,plain,
% 7.30/5.24 (v113(constB59)),
% 7.30/5.24 inference(unit_resolution,[status(thm)],[8147, 8146, 8120])).
% 7.30/5.24 tff(8149,plain,
% 7.30/5.24 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB59)) <=> v111(constB59))),
% 7.30/5.24 inference(quant_inst,[status(thm)],[])).
% 7.30/5.24 tff(8150,plain,
% 7.30/5.24 ((~v126(constB59)) <=> v111(constB59)),
% 7.30/5.24 inference(unit_resolution,[status(thm)],[8149, 3396])).
% 7.30/5.24 tff(8151,plain,
% 7.30/5.24 ((~((~v126(constB59)) <=> v111(constB59))) | v126(constB59) | v111(constB59)),
% 7.30/5.24 inference(tautology,[status(thm)],[])).
% 7.30/5.24 tff(8152,plain,
% 7.30/5.24 ((~((~v126(constB59)) <=> v111(constB59))) | v126(constB59)),
% 7.30/5.24 inference(unit_resolution,[status(thm)],[8151, 1271])).
% 7.30/5.24 tff(8153,plain,
% 7.30/5.24 (v126(constB59)),
% 7.30/5.24 inference(unit_resolution,[status(thm)],[8152, 8150])).
% 7.30/5.24 tff(8154,plain,
% 7.30/5.24 ((~((~v113(constB59)) | (~v126(constB59)))) | (~v113(constB59)) | (~v126(constB59))),
% 7.30/5.24 inference(tautology,[status(thm)],[])).
% 7.30/5.24 tff(8155,plain,
% 7.30/5.24 ((~((~v113(constB59)) | (~v126(constB59)))) | (~v113(constB59))),
% 7.30/5.24 inference(unit_resolution,[status(thm)],[8154, 8153])).
% 7.30/5.24 tff(8156,plain,
% 7.30/5.24 (~((~v113(constB59)) | (~v126(constB59)))),
% 7.30/5.24 inference(unit_resolution,[status(thm)],[8155, 8148])).
% 7.30/5.24 tff(8157,plain,
% 7.30/5.24 ((~(v112(constB59) <=> (~((~v113(constB59)) | (~v126(constB59)))))) | v112(constB59) | ((~v113(constB59)) | (~v126(constB59)))),
% 7.30/5.24 inference(tautology,[status(thm)],[])).
% 7.30/5.24 tff(8158,plain,
% 7.30/5.24 (v112(constB59)),
% 7.30/5.24 inference(unit_resolution,[status(thm)],[8157, 8156, 8118])).
% 7.30/5.24 tff(8159,plain,
% 7.30/5.24 ((v111(constB59) | v112(constB59)) | (~v112(constB59))),
% 7.30/5.24 inference(tautology,[status(thm)],[])).
% 7.30/5.24 tff(8160,plain,
% 7.30/5.24 (v111(constB59) | v112(constB59)),
% 7.30/5.24 inference(unit_resolution,[status(thm)],[8159, 8158])).
% 7.30/5.24 tff(8161,plain,
% 7.30/5.24 ((~(v108(constB59) <=> (v111(constB59) | v112(constB59)))) | v108(constB59) | (~(v111(constB59) | v112(constB59)))),
% 7.30/5.24 inference(tautology,[status(thm)],[])).
% 7.30/5.24 tff(8162,plain,
% 7.30/5.24 (v108(constB59)),
% 7.30/5.24 inference(unit_resolution,[status(thm)],[8161, 8160, 8116])).
% 7.30/5.24 tff(8163,plain,
% 7.30/5.24 ((~(v110(constB60) <=> v108(constB59))) | v110(constB60) | (~v108(constB59))),
% 7.30/5.24 inference(tautology,[status(thm)],[])).
% 7.30/5.24 tff(8164,plain,
% 7.30/5.24 (v110(constB60)),
% 7.30/5.24 inference(unit_resolution,[status(thm)],[8163, 8162, 8114])).
% 7.30/5.24 tff(8165,plain,
% 7.30/5.24 ((~((~v101(constB60)) | (~v110(constB60)))) | (~v101(constB60)) | (~v110(constB60))),
% 7.30/5.24 inference(tautology,[status(thm)],[])).
% 7.30/5.24 tff(8166,plain,
% 7.30/5.24 (~((~v101(constB60)) | (~v110(constB60)))),
% 7.30/5.24 inference(unit_resolution,[status(thm)],[8165, 8164, 8110])).
% 7.30/5.24 tff(8167,plain,
% 7.30/5.24 ((~(v100(constB60) <=> (~((~v101(constB60)) | (~v110(constB60)))))) | v100(constB60) | ((~v101(constB60)) | (~v110(constB60)))),
% 7.30/5.24 inference(tautology,[status(thm)],[])).
% 7.30/5.24 tff(8168,plain,
% 7.30/5.24 (v100(constB60)),
% 7.30/5.24 inference(unit_resolution,[status(thm)],[8167, 8166, 8082])).
% 7.30/5.24 tff(8169,plain,
% 7.30/5.24 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB60)) | (~(((~v90(constB60, bitIndex2)) <=> v129(constB60, bitIndex2)) | ((~v90(constB60, bitIndex1)) <=> v129(constB60, bitIndex1)) | ((~v90(constB60, bitIndex0)) <=> v129(constB60, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB60)) | (~(((~v90(constB60, bitIndex2)) <=> v129(constB60, bitIndex2)) | ((~v90(constB60, bitIndex1)) <=> v129(constB60, bitIndex1)) | ((~v90(constB60, bitIndex0)) <=> v129(constB60, bitIndex0)))))),
% 7.30/5.24 inference(rewrite,[status(thm)],[])).
% 7.30/5.24 tff(8170,plain,
% 7.30/5.24 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB60)) | (~(((~v90(constB60, bitIndex2)) <=> v129(constB60, bitIndex2)) | ((~v90(constB60, bitIndex1)) <=> v129(constB60, bitIndex1)) | ((~v90(constB60, bitIndex0)) <=> v129(constB60, bitIndex0)))))),
% 7.30/5.24 inference(quant_inst,[status(thm)],[])).
% 7.30/5.24 tff(8171,plain,
% 7.30/5.24 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB60)) | (~(((~v90(constB60, bitIndex2)) <=> v129(constB60, bitIndex2)) | ((~v90(constB60, bitIndex1)) <=> v129(constB60, bitIndex1)) | ((~v90(constB60, bitIndex0)) <=> v129(constB60, bitIndex0))))),
% 7.30/5.24 inference(modus_ponens,[status(thm)],[8170, 8169])).
% 7.30/5.24 tff(8172,plain,
% 7.30/5.24 ((~v100(constB60)) | (~(((~v90(constB60, bitIndex2)) <=> v129(constB60, bitIndex2)) | ((~v90(constB60, bitIndex1)) <=> v129(constB60, bitIndex1)) | ((~v90(constB60, bitIndex0)) <=> v129(constB60, bitIndex0))))),
% 7.30/5.24 inference(unit_resolution,[status(thm)],[8171, 3429])).
% 7.30/5.24 tff(8173,plain,
% 7.30/5.24 (~(((~v90(constB60, bitIndex2)) <=> v129(constB60, bitIndex2)) | ((~v90(constB60, bitIndex1)) <=> v129(constB60, bitIndex1)) | ((~v90(constB60, bitIndex0)) <=> v129(constB60, bitIndex0)))),
% 7.30/5.24 inference(unit_resolution,[status(thm)],[8172, 8168])).
% 7.30/5.24 tff(8174,plain,
% 7.30/5.24 ((((~v90(constB60, bitIndex2)) <=> v129(constB60, bitIndex2)) | ((~v90(constB60, bitIndex1)) <=> v129(constB60, bitIndex1)) | ((~v90(constB60, bitIndex0)) <=> v129(constB60, bitIndex0))) | (~((~v90(constB60, bitIndex2)) <=> v129(constB60, bitIndex2)))),
% 7.30/5.24 inference(tautology,[status(thm)],[])).
% 7.30/5.24 tff(8175,plain,
% 7.30/5.24 (~((~v90(constB60, bitIndex2)) <=> v129(constB60, bitIndex2))),
% 7.30/5.24 inference(unit_resolution,[status(thm)],[8174, 8173])).
% 7.30/5.24 tff(8176,plain,
% 7.30/5.24 (((~v90(constB60, bitIndex2)) <=> v129(constB60, bitIndex2)) | (~v90(constB60, bitIndex2)) | v129(constB60, bitIndex2)),
% 7.30/5.24 inference(tautology,[status(thm)],[])).
% 7.30/5.24 tff(8177,plain,
% 7.30/5.24 (~v90(constB60, bitIndex2)),
% 7.30/5.24 inference(unit_resolution,[status(thm)],[8176, 8175, 8078])).
% 7.30/5.24 tff(8178,plain,
% 7.30/5.24 (((~v90(constB61, bitIndex2)) <=> v90(constB60, bitIndex2)) | (~v90(constB61, bitIndex2)) | v90(constB60, bitIndex2)),
% 7.30/5.24 inference(tautology,[status(thm)],[])).
% 7.30/5.24 tff(8179,plain,
% 7.30/5.24 (~v90(constB61, bitIndex2)),
% 7.30/5.24 inference(unit_resolution,[status(thm)],[8178, 8177, 1255])).
% 7.30/5.24 tff(8180,plain,
% 7.30/5.24 ((((~v90(constB61, bitIndex1)) <=> v90(constB60, bitIndex1)) | ((~v90(constB61, bitIndex2)) <=> v90(constB60, bitIndex2)) | ((~v90(constB61, bitIndex0)) <=> v90(constB60, bitIndex0))) | (~((~v90(constB61, bitIndex0)) <=> v90(constB60, bitIndex0)))),
% 7.30/5.24 inference(tautology,[status(thm)],[])).
% 7.30/5.24 tff(8181,plain,
% 7.30/5.24 (~((~v90(constB61, bitIndex0)) <=> v90(constB60, bitIndex0))),
% 7.30/5.24 inference(unit_resolution,[status(thm)],[8180, 1253])).
% 7.30/5.24 tff(8182,plain,
% 7.30/5.24 ((((~v129(constB60, bitIndex2)) <=> v127(constB59, bitIndex2)) | ((~v129(constB60, bitIndex1)) <=> v127(constB59, bitIndex1)) | ((~v129(constB60, bitIndex0)) <=> v127(constB59, bitIndex0))) | (~((~v129(constB60, bitIndex0)) <=> v127(constB59, bitIndex0)))),
% 7.30/5.24 inference(tautology,[status(thm)],[])).
% 7.30/5.24 tff(8183,plain,
% 7.30/5.24 (~((~v129(constB60, bitIndex0)) <=> v127(constB59, bitIndex0))),
% 7.30/5.24 inference(unit_resolution,[status(thm)],[8182, 1262])).
% 7.30/5.24 tff(8184,plain,
% 7.30/5.24 ((((~v127(constB59, bitIndex2)) <=> v130(constB59, bitIndex2)) | ((~v127(constB59, bitIndex1)) <=> v130(constB59, bitIndex1)) | ((~v127(constB59, bitIndex0)) <=> v130(constB59, bitIndex0))) | (~((~v127(constB59, bitIndex0)) <=> v130(constB59, bitIndex0)))),
% 7.30/5.24 inference(tautology,[status(thm)],[])).
% 7.30/5.24 tff(8185,plain,
% 7.30/5.24 (~((~v127(constB59, bitIndex0)) <=> v130(constB59, bitIndex0))),
% 7.30/5.24 inference(unit_resolution,[status(thm)],[8184, 1276])).
% 7.30/5.24 tff(8186,plain,
% 7.30/5.24 ((v130(constB59, bitIndex2) | (~v130(constB59, bitIndex1)) | (~v130(constB59, bitIndex0))) | v130(constB59, bitIndex0)),
% 7.30/5.24 inference(tautology,[status(thm)],[])).
% 7.30/5.24 tff(8187,plain,
% 7.30/5.24 (v130(constB59, bitIndex0)),
% 7.30/5.24 inference(unit_resolution,[status(thm)],[8186, 8072])).
% 7.30/5.24 tff(8188,plain,
% 7.30/5.24 (((~v127(constB59, bitIndex0)) <=> v130(constB59, bitIndex0)) | v127(constB59, bitIndex0) | (~v130(constB59, bitIndex0))),
% 7.30/5.24 inference(tautology,[status(thm)],[])).
% 7.30/5.24 tff(8189,plain,
% 7.30/5.24 (v127(constB59, bitIndex0)),
% 7.30/5.24 inference(unit_resolution,[status(thm)],[8188, 8187, 8185])).
% 7.30/5.24 tff(8190,plain,
% 7.30/5.24 (((~v129(constB60, bitIndex0)) <=> v127(constB59, bitIndex0)) | v129(constB60, bitIndex0) | (~v127(constB59, bitIndex0))),
% 7.30/5.24 inference(tautology,[status(thm)],[])).
% 7.30/5.24 tff(8191,plain,
% 7.30/5.24 (v129(constB60, bitIndex0)),
% 7.30/5.24 inference(unit_resolution,[status(thm)],[8190, 8189, 8183])).
% 7.30/5.24 tff(8192,plain,
% 7.30/5.24 ((((~v90(constB60, bitIndex2)) <=> v129(constB60, bitIndex2)) | ((~v90(constB60, bitIndex1)) <=> v129(constB60, bitIndex1)) | ((~v90(constB60, bitIndex0)) <=> v129(constB60, bitIndex0))) | (~((~v90(constB60, bitIndex0)) <=> v129(constB60, bitIndex0)))),
% 7.30/5.24 inference(tautology,[status(thm)],[])).
% 7.30/5.24 tff(8193,plain,
% 7.30/5.24 (~((~v90(constB60, bitIndex0)) <=> v129(constB60, bitIndex0))),
% 7.30/5.24 inference(unit_resolution,[status(thm)],[8192, 8173])).
% 7.30/5.24 tff(8194,plain,
% 7.30/5.24 (((~v90(constB60, bitIndex0)) <=> v129(constB60, bitIndex0)) | v90(constB60, bitIndex0) | (~v129(constB60, bitIndex0))),
% 7.30/5.24 inference(tautology,[status(thm)],[])).
% 7.30/5.24 tff(8195,plain,
% 7.30/5.24 (v90(constB60, bitIndex0)),
% 7.30/5.24 inference(unit_resolution,[status(thm)],[8194, 8193, 8191])).
% 7.30/5.24 tff(8196,plain,
% 7.30/5.24 (((~v90(constB61, bitIndex0)) <=> v90(constB60, bitIndex0)) | v90(constB61, bitIndex0) | (~v90(constB60, bitIndex0))),
% 7.30/5.24 inference(tautology,[status(thm)],[])).
% 7.30/5.24 tff(8197,plain,
% 7.30/5.24 (v90(constB61, bitIndex0)),
% 7.30/5.24 inference(unit_resolution,[status(thm)],[8196, 8195, 8181])).
% 7.30/5.24 tff(8198,plain,
% 7.30/5.24 ((((~v90(constB61, bitIndex1)) <=> v90(constB60, bitIndex1)) | ((~v90(constB61, bitIndex2)) <=> v90(constB60, bitIndex2)) | ((~v90(constB61, bitIndex0)) <=> v90(constB60, bitIndex0))) | (~((~v90(constB61, bitIndex1)) <=> v90(constB60, bitIndex1)))),
% 7.30/5.24 inference(tautology,[status(thm)],[])).
% 7.30/5.24 tff(8199,plain,
% 7.30/5.24 (~((~v90(constB61, bitIndex1)) <=> v90(constB60, bitIndex1))),
% 7.30/5.24 inference(unit_resolution,[status(thm)],[8198, 1253])).
% 7.30/5.24 tff(8200,plain,
% 7.30/5.24 ((((~v129(constB60, bitIndex2)) <=> v127(constB59, bitIndex2)) | ((~v129(constB60, bitIndex1)) <=> v127(constB59, bitIndex1)) | ((~v129(constB60, bitIndex0)) <=> v127(constB59, bitIndex0))) | (~((~v129(constB60, bitIndex1)) <=> v127(constB59, bitIndex1)))),
% 7.30/5.24 inference(tautology,[status(thm)],[])).
% 7.30/5.24 tff(8201,plain,
% 7.30/5.24 (~((~v129(constB60, bitIndex1)) <=> v127(constB59, bitIndex1))),
% 7.30/5.24 inference(unit_resolution,[status(thm)],[8200, 1262])).
% 7.30/5.24 tff(8202,plain,
% 7.30/5.24 ((((~v127(constB59, bitIndex2)) <=> v130(constB59, bitIndex2)) | ((~v127(constB59, bitIndex1)) <=> v130(constB59, bitIndex1)) | ((~v127(constB59, bitIndex0)) <=> v130(constB59, bitIndex0))) | (~((~v127(constB59, bitIndex1)) <=> v130(constB59, bitIndex1)))),
% 7.30/5.24 inference(tautology,[status(thm)],[])).
% 7.30/5.24 tff(8203,plain,
% 7.30/5.24 (~((~v127(constB59, bitIndex1)) <=> v130(constB59, bitIndex1))),
% 7.30/5.24 inference(unit_resolution,[status(thm)],[8202, 1276])).
% 7.30/5.24 tff(8204,plain,
% 7.30/5.24 ((v130(constB59, bitIndex2) | (~v130(constB59, bitIndex1)) | (~v130(constB59, bitIndex0))) | v130(constB59, bitIndex1)),
% 7.30/5.24 inference(tautology,[status(thm)],[])).
% 7.30/5.24 tff(8205,plain,
% 7.30/5.24 (v130(constB59, bitIndex1)),
% 7.30/5.24 inference(unit_resolution,[status(thm)],[8204, 8072])).
% 7.30/5.24 tff(8206,plain,
% 7.30/5.24 (((~v127(constB59, bitIndex1)) <=> v130(constB59, bitIndex1)) | v127(constB59, bitIndex1) | (~v130(constB59, bitIndex1))),
% 7.30/5.24 inference(tautology,[status(thm)],[])).
% 7.30/5.24 tff(8207,plain,
% 7.30/5.24 (v127(constB59, bitIndex1)),
% 7.30/5.24 inference(unit_resolution,[status(thm)],[8206, 8205, 8203])).
% 7.30/5.24 tff(8208,plain,
% 7.30/5.24 (((~v129(constB60, bitIndex1)) <=> v127(constB59, bitIndex1)) | v129(constB60, bitIndex1) | (~v127(constB59, bitIndex1))),
% 7.30/5.24 inference(tautology,[status(thm)],[])).
% 7.30/5.24 tff(8209,plain,
% 7.30/5.24 (v129(constB60, bitIndex1)),
% 7.30/5.24 inference(unit_resolution,[status(thm)],[8208, 8207, 8201])).
% 7.30/5.24 tff(8210,plain,
% 7.30/5.24 ((((~v90(constB60, bitIndex2)) <=> v129(constB60, bitIndex2)) | ((~v90(constB60, bitIndex1)) <=> v129(constB60, bitIndex1)) | ((~v90(constB60, bitIndex0)) <=> v129(constB60, bitIndex0))) | (~((~v90(constB60, bitIndex1)) <=> v129(constB60, bitIndex1)))),
% 7.30/5.24 inference(tautology,[status(thm)],[])).
% 7.30/5.24 tff(8211,plain,
% 7.30/5.24 (~((~v90(constB60, bitIndex1)) <=> v129(constB60, bitIndex1))),
% 7.30/5.24 inference(unit_resolution,[status(thm)],[8210, 8173])).
% 7.30/5.24 tff(8212,plain,
% 7.30/5.24 (((~v90(constB60, bitIndex1)) <=> v129(constB60, bitIndex1)) | v90(constB60, bitIndex1) | (~v129(constB60, bitIndex1))),
% 7.30/5.24 inference(tautology,[status(thm)],[])).
% 7.30/5.24 tff(8213,plain,
% 7.30/5.24 (v90(constB60, bitIndex1)),
% 7.30/5.24 inference(unit_resolution,[status(thm)],[8212, 8211, 8209])).
% 7.30/5.24 tff(8214,plain,
% 7.30/5.24 (((~v90(constB61, bitIndex1)) <=> v90(constB60, bitIndex1)) | v90(constB61, bitIndex1) | (~v90(constB60, bitIndex1))),
% 7.30/5.24 inference(tautology,[status(thm)],[])).
% 7.30/5.24 tff(8215,plain,
% 7.30/5.24 (v90(constB61, bitIndex1)),
% 7.30/5.24 inference(unit_resolution,[status(thm)],[8214, 8213, 8199])).
% 7.30/5.24 tff(8216,plain,
% 7.30/5.24 ((~(v90(constB61, bitIndex2) | (~v90(constB61, bitIndex1)) | (~v90(constB61, bitIndex0)))) | v90(constB61, bitIndex2) | (~v90(constB61, bitIndex1)) | (~v90(constB61, bitIndex0))),
% 7.30/5.24 inference(tautology,[status(thm)],[])).
% 7.30/5.24 tff(8217,plain,
% 7.30/5.24 (~(v90(constB61, bitIndex2) | (~v90(constB61, bitIndex1)) | (~v90(constB61, bitIndex0)))),
% 7.30/5.24 inference(unit_resolution,[status(thm)],[8216, 8215, 8197, 8179])).
% 7.30/5.24 tff(8218,plain,
% 7.30/5.24 ((~(v122(constB61) <=> (~(v90(constB61, bitIndex2) | (~v90(constB61, bitIndex1)) | (~v90(constB61, bitIndex0)))))) | v122(constB61) | (v90(constB61, bitIndex2) | (~v90(constB61, bitIndex1)) | (~v90(constB61, bitIndex0)))),
% 7.30/5.24 inference(tautology,[status(thm)],[])).
% 7.30/5.24 tff(8219,plain,
% 7.30/5.24 (v122(constB61)),
% 7.30/5.24 inference(unit_resolution,[status(thm)],[8218, 8217, 1219])).
% 7.30/5.24 tff(8220,plain,
% 7.30/5.24 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB61)) | (~(v130(constB61, bitIndex1) | v130(constB61, bitIndex0) | (~v130(constB61, bitIndex2)))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | (~v122(constB61)) | (~(v130(constB61, bitIndex1) | v130(constB61, bitIndex0) | (~v130(constB61, bitIndex2)))))),
% 7.30/5.24 inference(rewrite,[status(thm)],[])).
% 7.30/5.24 tff(8221,plain,
% 7.30/5.24 (((~v122(constB61)) | (~(v130(constB61, bitIndex0) | v130(constB61, bitIndex1) | (~v130(constB61, bitIndex2))))) <=> ((~v122(constB61)) | (~(v130(constB61, bitIndex1) | v130(constB61, bitIndex0) | (~v130(constB61, bitIndex2)))))),
% 7.30/5.24 inference(rewrite,[status(thm)],[])).
% 7.30/5.24 tff(8222,plain,
% 7.30/5.24 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB61)) | (~(v130(constB61, bitIndex0) | v130(constB61, bitIndex1) | (~v130(constB61, bitIndex2)))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB61)) | (~(v130(constB61, bitIndex1) | v130(constB61, bitIndex0) | (~v130(constB61, bitIndex2))))))),
% 7.30/5.24 inference(monotonicity,[status(thm)],[8221])).
% 7.30/5.24 tff(8223,plain,
% 7.30/5.24 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB61)) | (~(v130(constB61, bitIndex0) | v130(constB61, bitIndex1) | (~v130(constB61, bitIndex2)))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | (~v122(constB61)) | (~(v130(constB61, bitIndex1) | v130(constB61, bitIndex0) | (~v130(constB61, bitIndex2)))))),
% 7.30/5.24 inference(transitivity,[status(thm)],[8222, 8220])).
% 7.30/5.24 tff(8224,plain,
% 7.30/5.24 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB61)) | (~(v130(constB61, bitIndex0) | v130(constB61, bitIndex1) | (~v130(constB61, bitIndex2)))))),
% 7.30/5.24 inference(quant_inst,[status(thm)],[])).
% 7.30/5.24 tff(8225,plain,
% 7.30/5.24 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | (~v122(constB61)) | (~(v130(constB61, bitIndex1) | v130(constB61, bitIndex0) | (~v130(constB61, bitIndex2))))),
% 7.30/5.24 inference(modus_ponens,[status(thm)],[8224, 8223])).
% 7.30/5.24 tff(8226,plain,
% 7.30/5.24 ((~v122(constB61)) | (~(v130(constB61, bitIndex1) | v130(constB61, bitIndex0) | (~v130(constB61, bitIndex2))))),
% 7.30/5.24 inference(unit_resolution,[status(thm)],[8225, 4223])).
% 7.30/5.24 tff(8227,plain,
% 7.30/5.24 (~(v130(constB61, bitIndex1) | v130(constB61, bitIndex0) | (~v130(constB61, bitIndex2)))),
% 7.30/5.24 inference(unit_resolution,[status(thm)],[8226, 8219])).
% 7.30/5.24 tff(8228,plain,
% 7.30/5.24 ((v130(constB61, bitIndex1) | v130(constB61, bitIndex0) | (~v130(constB61, bitIndex2))) | v130(constB61, bitIndex2)),
% 7.30/5.24 inference(tautology,[status(thm)],[])).
% 7.30/5.24 tff(8229,plain,
% 7.30/5.24 (v130(constB61, bitIndex2)),
% 7.30/5.24 inference(unit_resolution,[status(thm)],[8228, 8227])).
% 7.30/5.24 tff(8230,plain,
% 7.30/5.24 (((~v127(constB61, bitIndex2)) <=> v130(constB61, bitIndex2)) | v127(constB61, bitIndex2) | (~v130(constB61, bitIndex2))),
% 7.30/5.24 inference(tautology,[status(thm)],[])).
% 7.30/5.24 tff(8231,plain,
% 7.30/5.24 (v127(constB61, bitIndex2)),
% 7.30/5.24 inference(unit_resolution,[status(thm)],[8230, 8229, 1212])).
% 7.30/5.24 tff(8232,plain,
% 7.30/5.24 (((~v129(constB62, bitIndex2)) <=> v127(constB61, bitIndex2)) | v129(constB62, bitIndex2) | (~v127(constB61, bitIndex2))),
% 7.30/5.25 inference(tautology,[status(thm)],[])).
% 7.30/5.25 tff(8233,plain,
% 7.30/5.25 (v129(constB62, bitIndex2)),
% 7.30/5.25 inference(unit_resolution,[status(thm)],[8232, 8231, 1198])).
% 7.30/5.25 tff(8234,plain,
% 7.30/5.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB61, constB62)) | (v100(constB62) <=> (~((~v101(constB62)) | (~v110(constB62))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB61, constB62)) | (v100(constB62) <=> (~((~v101(constB62)) | (~v110(constB62))))))),
% 7.30/5.25 inference(rewrite,[status(thm)],[])).
% 7.30/5.25 tff(8235,plain,
% 7.30/5.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB61, constB62)) | (v100(constB62) <=> (~((~v101(constB62)) | (~v110(constB62))))))),
% 7.30/5.25 inference(quant_inst,[status(thm)],[])).
% 7.30/5.25 tff(8236,plain,
% 7.30/5.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB61, constB62)) | (v100(constB62) <=> (~((~v101(constB62)) | (~v110(constB62)))))),
% 7.30/5.25 inference(modus_ponens,[status(thm)],[8235, 8234])).
% 7.30/5.25 tff(8237,plain,
% 7.30/5.25 (v100(constB62) <=> (~((~v101(constB62)) | (~v110(constB62))))),
% 7.30/5.25 inference(unit_resolution,[status(thm)],[8236, 1192, 445])).
% 7.30/5.25 tff(8238,plain,
% 7.30/5.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB61, constB62)) | (v101(constB62) <=> (~((~v1(constB62)) | (~v102(constB62))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB61, constB62)) | (v101(constB62) <=> (~((~v1(constB62)) | (~v102(constB62))))))),
% 7.30/5.25 inference(rewrite,[status(thm)],[])).
% 7.30/5.25 tff(8239,plain,
% 7.30/5.25 (((~nextState(constB61, constB62)) | (v101(constB62) <=> (~((~v102(constB62)) | (~v1(constB62)))))) <=> ((~nextState(constB61, constB62)) | (v101(constB62) <=> (~((~v1(constB62)) | (~v102(constB62))))))),
% 7.30/5.25 inference(rewrite,[status(thm)],[])).
% 7.30/5.25 tff(8240,plain,
% 7.30/5.25 (((~![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) <=> (~((~v1(constB62)) | (~v102(constB62)))))))),
% 7.30/5.25 inference(monotonicity,[status(thm)],[8239])).
% 7.30/5.25 tff(8241,plain,
% 7.30/5.25 (((~![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) <=> (~((~v1(constB62)) | (~v102(constB62))))))),
% 7.30/5.25 inference(transitivity,[status(thm)],[8240, 8238])).
% 7.30/5.25 tff(8242,plain,
% 7.30/5.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB61, constB62)) | (v101(constB62) <=> (~((~v102(constB62)) | (~v1(constB62))))))),
% 7.30/5.25 inference(quant_inst,[status(thm)],[])).
% 7.30/5.25 tff(8243,plain,
% 7.30/5.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB61, constB62)) | (v101(constB62) <=> (~((~v1(constB62)) | (~v102(constB62)))))),
% 7.30/5.25 inference(modus_ponens,[status(thm)],[8242, 8241])).
% 7.30/5.25 tff(8244,plain,
% 7.30/5.25 (v101(constB62) <=> (~((~v1(constB62)) | (~v102(constB62))))),
% 7.30/5.25 inference(unit_resolution,[status(thm)],[8243, 1192, 465])).
% 7.30/5.25 tff(8245,plain,
% 7.30/5.25 (((~![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)))),
% 7.30/5.25 inference(rewrite,[status(thm)],[])).
% 7.30/5.25 tff(8246,plain,
% 7.30/5.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB61, constB62)) | ((~v102(constB62)) <=> v104(constB62)))),
% 7.30/5.25 inference(quant_inst,[status(thm)],[])).
% 7.30/5.25 tff(8247,plain,
% 7.30/5.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB61, constB62)) | ((~v102(constB62)) <=> v104(constB62))),
% 7.30/5.25 inference(modus_ponens,[status(thm)],[8246, 8245])).
% 7.30/5.25 tff(8248,plain,
% 7.30/5.25 ((~v102(constB62)) <=> v104(constB62)),
% 7.30/5.25 inference(unit_resolution,[status(thm)],[8247, 1192, 3244])).
% 7.30/5.25 tff(8249,plain,
% 7.30/5.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB61, constB62)) | (v104(constB62) <=> v1(constB61)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB61, constB62)) | (v104(constB62) <=> v1(constB61)))),
% 7.30/5.25 inference(rewrite,[status(thm)],[])).
% 7.30/5.25 tff(8250,plain,
% 7.30/5.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB61, constB62)) | (v104(constB62) <=> v1(constB61)))),
% 7.30/5.25 inference(quant_inst,[status(thm)],[])).
% 7.30/5.25 tff(8251,plain,
% 7.30/5.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB61, constB62)) | (v104(constB62) <=> v1(constB61))),
% 7.30/5.25 inference(modus_ponens,[status(thm)],[8250, 8249])).
% 7.30/5.25 tff(8252,plain,
% 7.30/5.25 (v104(constB62) <=> v1(constB61)),
% 7.30/5.25 inference(unit_resolution,[status(thm)],[8251, 1192, 3258])).
% 7.30/5.25 tff(8253,plain,
% 7.30/5.25 ((~(v104(constB62) <=> v1(constB61))) | (~v104(constB62)) | v1(constB61)),
% 7.30/5.25 inference(tautology,[status(thm)],[])).
% 7.30/5.25 tff(8254,plain,
% 7.30/5.25 ((~(v104(constB62) <=> v1(constB61))) | (~v104(constB62))),
% 7.30/5.25 inference(unit_resolution,[status(thm)],[8253, 1236])).
% 7.30/5.25 tff(8255,plain,
% 7.30/5.25 (~v104(constB62)),
% 7.30/5.25 inference(unit_resolution,[status(thm)],[8254, 8252])).
% 7.30/5.25 tff(8256,plain,
% 7.30/5.25 ((~((~v102(constB62)) <=> v104(constB62))) | v102(constB62) | v104(constB62)),
% 7.30/5.25 inference(tautology,[status(thm)],[])).
% 7.30/5.25 tff(8257,plain,
% 7.30/5.25 (v102(constB62)),
% 7.30/5.25 inference(unit_resolution,[status(thm)],[8256, 8255, 8248])).
% 7.30/5.25 tff(8258,plain,
% 7.30/5.25 (v1(constB62) <=> v1(constB62)),
% 7.30/5.25 inference(rewrite,[status(thm)],[])).
% 7.30/5.25 tff(8259,axiom,(v1(constB62)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_62')).
% 7.30/5.25 tff(8260,plain,
% 7.30/5.25 (v1(constB62)),
% 7.30/5.25 inference(modus_ponens,[status(thm)],[8259, 8258])).
% 7.30/5.25 tff(8261,plain,
% 7.30/5.25 ((~((~v1(constB62)) | (~v102(constB62)))) | (~v1(constB62)) | (~v102(constB62))),
% 7.30/5.25 inference(tautology,[status(thm)],[])).
% 7.30/5.25 tff(8262,plain,
% 7.30/5.25 ((~((~v1(constB62)) | (~v102(constB62)))) | (~v102(constB62))),
% 7.30/5.25 inference(unit_resolution,[status(thm)],[8261, 8260])).
% 7.30/5.25 tff(8263,plain,
% 7.30/5.25 (~((~v1(constB62)) | (~v102(constB62)))),
% 7.30/5.25 inference(unit_resolution,[status(thm)],[8262, 8257])).
% 7.30/5.25 tff(8264,plain,
% 7.30/5.25 ((~(v101(constB62) <=> (~((~v1(constB62)) | (~v102(constB62)))))) | v101(constB62) | ((~v1(constB62)) | (~v102(constB62)))),
% 7.30/5.25 inference(tautology,[status(thm)],[])).
% 7.30/5.25 tff(8265,plain,
% 7.30/5.25 (v101(constB62)),
% 7.30/5.25 inference(unit_resolution,[status(thm)],[8264, 8263, 8244])).
% 7.30/5.25 tff(8266,plain,
% 7.30/5.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB61, constB62)) | (v110(constB62) <=> v108(constB61)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB61, constB62)) | (v110(constB62) <=> v108(constB61)))),
% 7.30/5.25 inference(rewrite,[status(thm)],[])).
% 7.30/5.25 tff(8267,plain,
% 7.30/5.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB61, constB62)) | (v110(constB62) <=> v108(constB61)))),
% 7.30/5.25 inference(quant_inst,[status(thm)],[])).
% 7.30/5.25 tff(8268,plain,
% 7.30/5.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB61, constB62)) | (v110(constB62) <=> v108(constB61))),
% 7.30/5.25 inference(modus_ponens,[status(thm)],[8267, 8266])).
% 7.30/5.25 tff(8269,plain,
% 7.30/5.25 (v110(constB62) <=> v108(constB61)),
% 7.30/5.25 inference(unit_resolution,[status(thm)],[8268, 1192, 3285])).
% 7.30/5.25 tff(8270,plain,
% 7.30/5.25 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB61) <=> (v111(constB61) | v112(constB61)))),
% 7.30/5.25 inference(quant_inst,[status(thm)],[])).
% 7.30/5.25 tff(8271,plain,
% 7.30/5.25 (v108(constB61) <=> (v111(constB61) | v112(constB61))),
% 7.30/5.25 inference(unit_resolution,[status(thm)],[8270, 3296])).
% 7.30/5.25 tff(8272,plain,
% 7.30/5.25 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB61) <=> (~((~v113(constB61)) | (~v126(constB61)))))),
% 7.30/5.25 inference(quant_inst,[status(thm)],[])).
% 7.30/5.25 tff(8273,plain,
% 7.30/5.25 (v112(constB61) <=> (~((~v113(constB61)) | (~v126(constB61))))),
% 7.30/5.25 inference(unit_resolution,[status(thm)],[8272, 3308])).
% 7.30/5.25 tff(8274,plain,
% 7.30/5.25 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB61) <=> (v114(constB61) | v125(constB61)))),
% 7.30/5.25 inference(quant_inst,[status(thm)],[])).
% 7.30/5.25 tff(8275,plain,
% 7.30/5.25 (v113(constB61) <=> (v114(constB61) | v125(constB61))),
% 7.30/5.25 inference(unit_resolution,[status(thm)],[8274, 3317])).
% 7.30/5.25 tff(8276,plain,
% 7.30/5.25 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB61) <=> (v115(constB61) | v124(constB61)))),
% 7.30/5.25 inference(quant_inst,[status(thm)],[])).
% 7.30/5.25 tff(8277,plain,
% 7.30/5.25 (v114(constB61) <=> (v115(constB61) | v124(constB61))),
% 7.30/5.25 inference(unit_resolution,[status(thm)],[8276, 3326])).
% 7.30/5.25 tff(8278,plain,
% 7.30/5.25 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB61) <=> (v116(constB61) | v123(constB61)))),
% 7.30/5.25 inference(quant_inst,[status(thm)],[])).
% 7.30/5.25 tff(8279,plain,
% 7.30/5.25 (v115(constB61) <=> (v116(constB61) | v123(constB61))),
% 7.30/5.25 inference(unit_resolution,[status(thm)],[8278, 3335])).
% 7.30/5.25 tff(8280,plain,
% 7.30/5.25 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB61) <=> (v117(constB61) | v122(constB61)))),
% 7.30/5.25 inference(quant_inst,[status(thm)],[])).
% 7.30/5.25 tff(8281,plain,
% 7.30/5.25 (v116(constB61) <=> (v117(constB61) | v122(constB61))),
% 7.30/5.25 inference(unit_resolution,[status(thm)],[8280, 3344])).
% 7.30/5.25 tff(8282,plain,
% 7.30/5.25 ((v117(constB61) | v122(constB61)) | (~v122(constB61))),
% 7.30/5.25 inference(tautology,[status(thm)],[])).
% 7.30/5.25 tff(8283,plain,
% 7.30/5.25 (v117(constB61) | v122(constB61)),
% 7.30/5.25 inference(unit_resolution,[status(thm)],[8282, 8219])).
% 7.30/5.25 tff(8284,plain,
% 7.30/5.25 ((~(v116(constB61) <=> (v117(constB61) | v122(constB61)))) | v116(constB61) | (~(v117(constB61) | v122(constB61)))),
% 7.30/5.25 inference(tautology,[status(thm)],[])).
% 7.30/5.25 tff(8285,plain,
% 7.30/5.25 (v116(constB61)),
% 7.30/5.25 inference(unit_resolution,[status(thm)],[8284, 8283, 8281])).
% 7.30/5.25 tff(8286,plain,
% 7.30/5.25 ((v116(constB61) | v123(constB61)) | (~v116(constB61))),
% 7.30/5.25 inference(tautology,[status(thm)],[])).
% 7.30/5.25 tff(8287,plain,
% 7.30/5.25 (v116(constB61) | v123(constB61)),
% 7.30/5.25 inference(unit_resolution,[status(thm)],[8286, 8285])).
% 7.30/5.25 tff(8288,plain,
% 7.30/5.25 ((~(v115(constB61) <=> (v116(constB61) | v123(constB61)))) | v115(constB61) | (~(v116(constB61) | v123(constB61)))),
% 7.30/5.25 inference(tautology,[status(thm)],[])).
% 7.30/5.25 tff(8289,plain,
% 7.30/5.25 (v115(constB61)),
% 7.30/5.25 inference(unit_resolution,[status(thm)],[8288, 8287, 8279])).
% 7.30/5.25 tff(8290,plain,
% 7.30/5.25 ((v115(constB61) | v124(constB61)) | (~v115(constB61))),
% 7.30/5.25 inference(tautology,[status(thm)],[])).
% 7.30/5.25 tff(8291,plain,
% 7.30/5.25 (v115(constB61) | v124(constB61)),
% 7.30/5.25 inference(unit_resolution,[status(thm)],[8290, 8289])).
% 7.30/5.25 tff(8292,plain,
% 7.30/5.25 ((~(v114(constB61) <=> (v115(constB61) | v124(constB61)))) | v114(constB61) | (~(v115(constB61) | v124(constB61)))),
% 7.30/5.25 inference(tautology,[status(thm)],[])).
% 7.30/5.25 tff(8293,plain,
% 7.30/5.25 (v114(constB61)),
% 7.30/5.25 inference(unit_resolution,[status(thm)],[8292, 8291, 8277])).
% 7.30/5.25 tff(8294,plain,
% 7.30/5.25 ((v114(constB61) | v125(constB61)) | (~v114(constB61))),
% 7.30/5.25 inference(tautology,[status(thm)],[])).
% 7.30/5.25 tff(8295,plain,
% 7.30/5.25 (v114(constB61) | v125(constB61)),
% 7.30/5.25 inference(unit_resolution,[status(thm)],[8294, 8293])).
% 7.30/5.25 tff(8296,plain,
% 7.30/5.25 ((~(v113(constB61) <=> (v114(constB61) | v125(constB61)))) | v113(constB61) | (~(v114(constB61) | v125(constB61)))),
% 7.30/5.25 inference(tautology,[status(thm)],[])).
% 7.30/5.25 tff(8297,plain,
% 7.30/5.25 (v113(constB61)),
% 7.30/5.25 inference(unit_resolution,[status(thm)],[8296, 8295, 8275])).
% 7.30/5.25 tff(8298,plain,
% 7.30/5.25 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB61)) <=> v111(constB61))),
% 7.30/5.25 inference(quant_inst,[status(thm)],[])).
% 7.30/5.25 tff(8299,plain,
% 7.30/5.25 ((~v126(constB61)) <=> v111(constB61)),
% 7.30/5.25 inference(unit_resolution,[status(thm)],[8298, 3396])).
% 7.30/5.25 tff(8300,plain,
% 7.30/5.25 ((~((~v126(constB61)) <=> v111(constB61))) | v126(constB61) | v111(constB61)),
% 7.30/5.25 inference(tautology,[status(thm)],[])).
% 7.30/5.25 tff(8301,plain,
% 7.30/5.25 ((~((~v126(constB61)) <=> v111(constB61))) | v126(constB61)),
% 7.30/5.25 inference(unit_resolution,[status(thm)],[8300, 1205])).
% 7.30/5.25 tff(8302,plain,
% 7.30/5.25 (v126(constB61)),
% 7.30/5.25 inference(unit_resolution,[status(thm)],[8301, 8299])).
% 7.30/5.25 tff(8303,plain,
% 7.30/5.25 ((~((~v113(constB61)) | (~v126(constB61)))) | (~v113(constB61)) | (~v126(constB61))),
% 7.30/5.25 inference(tautology,[status(thm)],[])).
% 7.30/5.25 tff(8304,plain,
% 7.30/5.25 ((~((~v113(constB61)) | (~v126(constB61)))) | (~v113(constB61))),
% 7.30/5.25 inference(unit_resolution,[status(thm)],[8303, 8302])).
% 7.30/5.25 tff(8305,plain,
% 7.30/5.25 (~((~v113(constB61)) | (~v126(constB61)))),
% 7.30/5.25 inference(unit_resolution,[status(thm)],[8304, 8297])).
% 7.30/5.25 tff(8306,plain,
% 7.30/5.25 ((~(v112(constB61) <=> (~((~v113(constB61)) | (~v126(constB61)))))) | v112(constB61) | ((~v113(constB61)) | (~v126(constB61)))),
% 7.30/5.25 inference(tautology,[status(thm)],[])).
% 7.30/5.25 tff(8307,plain,
% 7.30/5.25 (v112(constB61)),
% 7.30/5.25 inference(unit_resolution,[status(thm)],[8306, 8305, 8273])).
% 7.30/5.25 tff(8308,plain,
% 7.30/5.25 ((v111(constB61) | v112(constB61)) | (~v112(constB61))),
% 7.30/5.25 inference(tautology,[status(thm)],[])).
% 7.30/5.25 tff(8309,plain,
% 7.30/5.25 (v111(constB61) | v112(constB61)),
% 7.30/5.25 inference(unit_resolution,[status(thm)],[8308, 8307])).
% 7.30/5.25 tff(8310,plain,
% 7.30/5.25 ((~(v108(constB61) <=> (v111(constB61) | v112(constB61)))) | v108(constB61) | (~(v111(constB61) | v112(constB61)))),
% 7.30/5.25 inference(tautology,[status(thm)],[])).
% 7.30/5.25 tff(8311,plain,
% 7.30/5.25 (v108(constB61)),
% 7.30/5.25 inference(unit_resolution,[status(thm)],[8310, 8309, 8271])).
% 7.30/5.25 tff(8312,plain,
% 7.30/5.25 ((~(v110(constB62) <=> v108(constB61))) | v110(constB62) | (~v108(constB61))),
% 7.30/5.25 inference(tautology,[status(thm)],[])).
% 7.30/5.25 tff(8313,plain,
% 7.30/5.25 (v110(constB62)),
% 7.30/5.25 inference(unit_resolution,[status(thm)],[8312, 8311, 8269])).
% 7.30/5.25 tff(8314,plain,
% 7.30/5.25 ((~((~v101(constB62)) | (~v110(constB62)))) | (~v101(constB62)) | (~v110(constB62))),
% 7.30/5.25 inference(tautology,[status(thm)],[])).
% 7.30/5.25 tff(8315,plain,
% 7.30/5.25 (~((~v101(constB62)) | (~v110(constB62)))),
% 7.30/5.25 inference(unit_resolution,[status(thm)],[8314, 8313, 8265])).
% 7.30/5.25 tff(8316,plain,
% 7.30/5.25 ((~(v100(constB62) <=> (~((~v101(constB62)) | (~v110(constB62)))))) | v100(constB62) | ((~v101(constB62)) | (~v110(constB62)))),
% 7.30/5.25 inference(tautology,[status(thm)],[])).
% 7.30/5.25 tff(8317,plain,
% 7.30/5.25 (v100(constB62)),
% 7.30/5.25 inference(unit_resolution,[status(thm)],[8316, 8315, 8237])).
% 7.30/5.25 tff(8318,plain,
% 7.30/5.25 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB62)) | (~(((~v90(constB62, bitIndex0)) <=> v129(constB62, bitIndex0)) | ((~v90(constB62, bitIndex2)) <=> v129(constB62, bitIndex2)) | ((~v90(constB62, bitIndex1)) <=> v129(constB62, bitIndex1)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB62)) | (~(((~v90(constB62, bitIndex0)) <=> v129(constB62, bitIndex0)) | ((~v90(constB62, bitIndex2)) <=> v129(constB62, bitIndex2)) | ((~v90(constB62, bitIndex1)) <=> v129(constB62, bitIndex1)))))),
% 7.30/5.25 inference(rewrite,[status(thm)],[])).
% 7.30/5.25 tff(8319,plain,
% 7.30/5.25 (((~v100(constB62)) | (~(((~v90(constB62, bitIndex2)) <=> v129(constB62, bitIndex2)) | ((~v90(constB62, bitIndex1)) <=> v129(constB62, bitIndex1)) | ((~v90(constB62, bitIndex0)) <=> v129(constB62, bitIndex0))))) <=> ((~v100(constB62)) | (~(((~v90(constB62, bitIndex0)) <=> v129(constB62, bitIndex0)) | ((~v90(constB62, bitIndex2)) <=> v129(constB62, bitIndex2)) | ((~v90(constB62, bitIndex1)) <=> v129(constB62, bitIndex1)))))),
% 7.30/5.25 inference(rewrite,[status(thm)],[])).
% 7.30/5.25 tff(8320,plain,
% 7.30/5.25 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB62)) | (~(((~v90(constB62, bitIndex2)) <=> v129(constB62, bitIndex2)) | ((~v90(constB62, bitIndex1)) <=> v129(constB62, bitIndex1)) | ((~v90(constB62, bitIndex0)) <=> v129(constB62, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB62)) | (~(((~v90(constB62, bitIndex0)) <=> v129(constB62, bitIndex0)) | ((~v90(constB62, bitIndex2)) <=> v129(constB62, bitIndex2)) | ((~v90(constB62, bitIndex1)) <=> v129(constB62, bitIndex1))))))),
% 7.30/5.25 inference(monotonicity,[status(thm)],[8319])).
% 7.30/5.25 tff(8321,plain,
% 7.30/5.25 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB62)) | (~(((~v90(constB62, bitIndex2)) <=> v129(constB62, bitIndex2)) | ((~v90(constB62, bitIndex1)) <=> v129(constB62, bitIndex1)) | ((~v90(constB62, bitIndex0)) <=> v129(constB62, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB62)) | (~(((~v90(constB62, bitIndex0)) <=> v129(constB62, bitIndex0)) | ((~v90(constB62, bitIndex2)) <=> v129(constB62, bitIndex2)) | ((~v90(constB62, bitIndex1)) <=> v129(constB62, bitIndex1)))))),
% 7.30/5.25 inference(transitivity,[status(thm)],[8320, 8318])).
% 7.30/5.25 tff(8322,plain,
% 7.30/5.25 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB62)) | (~(((~v90(constB62, bitIndex2)) <=> v129(constB62, bitIndex2)) | ((~v90(constB62, bitIndex1)) <=> v129(constB62, bitIndex1)) | ((~v90(constB62, bitIndex0)) <=> v129(constB62, bitIndex0)))))),
% 7.30/5.25 inference(quant_inst,[status(thm)],[])).
% 7.30/5.25 tff(8323,plain,
% 7.30/5.25 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB62)) | (~(((~v90(constB62, bitIndex0)) <=> v129(constB62, bitIndex0)) | ((~v90(constB62, bitIndex2)) <=> v129(constB62, bitIndex2)) | ((~v90(constB62, bitIndex1)) <=> v129(constB62, bitIndex1))))),
% 7.30/5.25 inference(modus_ponens,[status(thm)],[8322, 8321])).
% 7.30/5.25 tff(8324,plain,
% 7.30/5.25 ((~v100(constB62)) | (~(((~v90(constB62, bitIndex0)) <=> v129(constB62, bitIndex0)) | ((~v90(constB62, bitIndex2)) <=> v129(constB62, bitIndex2)) | ((~v90(constB62, bitIndex1)) <=> v129(constB62, bitIndex1))))),
% 7.30/5.25 inference(unit_resolution,[status(thm)],[8323, 3429])).
% 7.30/5.25 tff(8325,plain,
% 7.30/5.25 (~(((~v90(constB62, bitIndex0)) <=> v129(constB62, bitIndex0)) | ((~v90(constB62, bitIndex2)) <=> v129(constB62, bitIndex2)) | ((~v90(constB62, bitIndex1)) <=> v129(constB62, bitIndex1)))),
% 7.30/5.25 inference(unit_resolution,[status(thm)],[8324, 8317])).
% 7.30/5.25 tff(8326,plain,
% 7.30/5.25 ((((~v90(constB62, bitIndex0)) <=> v129(constB62, bitIndex0)) | ((~v90(constB62, bitIndex2)) <=> v129(constB62, bitIndex2)) | ((~v90(constB62, bitIndex1)) <=> v129(constB62, bitIndex1))) | (~((~v90(constB62, bitIndex2)) <=> v129(constB62, bitIndex2)))),
% 7.30/5.25 inference(tautology,[status(thm)],[])).
% 7.30/5.25 tff(8327,plain,
% 7.30/5.25 (~((~v90(constB62, bitIndex2)) <=> v129(constB62, bitIndex2))),
% 7.30/5.25 inference(unit_resolution,[status(thm)],[8326, 8325])).
% 7.30/5.25 tff(8328,plain,
% 7.30/5.25 (((~v90(constB62, bitIndex2)) <=> v129(constB62, bitIndex2)) | v90(constB62, bitIndex2) | (~v129(constB62, bitIndex2))),
% 7.30/5.25 inference(tautology,[status(thm)],[])).
% 7.30/5.25 tff(8329,plain,
% 7.30/5.25 (v90(constB62, bitIndex2)),
% 7.30/5.25 inference(unit_resolution,[status(thm)],[8328, 8327, 8233])).
% 7.30/5.25 tff(8330,plain,
% 7.30/5.25 (((~v90(constB63, bitIndex2)) <=> v90(constB62, bitIndex2)) | v90(constB63, bitIndex2) | (~v90(constB62, bitIndex2))),
% 7.30/5.25 inference(tautology,[status(thm)],[])).
% 7.30/5.25 tff(8331,plain,
% 7.30/5.25 (v90(constB63, bitIndex2)),
% 7.30/5.25 inference(unit_resolution,[status(thm)],[8330, 8329, 1189])).
% 7.30/5.25 tff(8332,plain,
% 7.30/5.25 ((((~v90(constB63, bitIndex1)) <=> v90(constB62, bitIndex1)) | ((~v90(constB63, bitIndex2)) <=> v90(constB62, bitIndex2)) | ((~v90(constB63, bitIndex0)) <=> v90(constB62, bitIndex0))) | (~((~v90(constB63, bitIndex0)) <=> v90(constB62, bitIndex0)))),
% 7.30/5.25 inference(tautology,[status(thm)],[])).
% 7.30/5.25 tff(8333,plain,
% 7.30/5.25 (~((~v90(constB63, bitIndex0)) <=> v90(constB62, bitIndex0))),
% 7.30/5.25 inference(unit_resolution,[status(thm)],[8332, 1187])).
% 7.30/5.25 tff(8334,plain,
% 7.30/5.25 ((((~v129(constB62, bitIndex2)) <=> v127(constB61, bitIndex2)) | ((~v129(constB62, bitIndex1)) <=> v127(constB61, bitIndex1)) | ((~v129(constB62, bitIndex0)) <=> v127(constB61, bitIndex0))) | (~((~v129(constB62, bitIndex0)) <=> v127(constB61, bitIndex0)))),
% 7.30/5.25 inference(tautology,[status(thm)],[])).
% 7.30/5.25 tff(8335,plain,
% 7.30/5.25 (~((~v129(constB62, bitIndex0)) <=> v127(constB61, bitIndex0))),
% 7.30/5.25 inference(unit_resolution,[status(thm)],[8334, 1196])).
% 7.30/5.25 tff(8336,plain,
% 7.30/5.25 ((((~v127(constB61, bitIndex2)) <=> v130(constB61, bitIndex2)) | ((~v127(constB61, bitIndex1)) <=> v130(constB61, bitIndex1)) | ((~v127(constB61, bitIndex0)) <=> v130(constB61, bitIndex0))) | (~((~v127(constB61, bitIndex0)) <=> v130(constB61, bitIndex0)))),
% 7.30/5.25 inference(tautology,[status(thm)],[])).
% 7.30/5.25 tff(8337,plain,
% 7.30/5.25 (~((~v127(constB61, bitIndex0)) <=> v130(constB61, bitIndex0))),
% 7.30/5.25 inference(unit_resolution,[status(thm)],[8336, 1210])).
% 7.30/5.25 tff(8338,plain,
% 7.30/5.25 ((v130(constB61, bitIndex1) | v130(constB61, bitIndex0) | (~v130(constB61, bitIndex2))) | (~v130(constB61, bitIndex0))),
% 7.30/5.25 inference(tautology,[status(thm)],[])).
% 7.30/5.25 tff(8339,plain,
% 7.30/5.25 (~v130(constB61, bitIndex0)),
% 7.30/5.25 inference(unit_resolution,[status(thm)],[8338, 8227])).
% 7.30/5.25 tff(8340,plain,
% 7.30/5.25 (((~v127(constB61, bitIndex0)) <=> v130(constB61, bitIndex0)) | (~v127(constB61, bitIndex0)) | v130(constB61, bitIndex0)),
% 7.30/5.25 inference(tautology,[status(thm)],[])).
% 7.30/5.25 tff(8341,plain,
% 7.30/5.25 (~v127(constB61, bitIndex0)),
% 7.30/5.25 inference(unit_resolution,[status(thm)],[8340, 8339, 8337])).
% 7.30/5.25 tff(8342,plain,
% 7.30/5.25 (((~v129(constB62, bitIndex0)) <=> v127(constB61, bitIndex0)) | (~v129(constB62, bitIndex0)) | v127(constB61, bitIndex0)),
% 7.30/5.25 inference(tautology,[status(thm)],[])).
% 7.30/5.25 tff(8343,plain,
% 7.30/5.25 (~v129(constB62, bitIndex0)),
% 7.30/5.25 inference(unit_resolution,[status(thm)],[8342, 8341, 8335])).
% 7.30/5.25 tff(8344,plain,
% 7.30/5.25 ((((~v90(constB62, bitIndex0)) <=> v129(constB62, bitIndex0)) | ((~v90(constB62, bitIndex2)) <=> v129(constB62, bitIndex2)) | ((~v90(constB62, bitIndex1)) <=> v129(constB62, bitIndex1))) | (~((~v90(constB62, bitIndex0)) <=> v129(constB62, bitIndex0)))),
% 7.30/5.25 inference(tautology,[status(thm)],[])).
% 7.30/5.25 tff(8345,plain,
% 7.30/5.25 (~((~v90(constB62, bitIndex0)) <=> v129(constB62, bitIndex0))),
% 7.30/5.25 inference(unit_resolution,[status(thm)],[8344, 8325])).
% 7.30/5.25 tff(8346,plain,
% 7.30/5.25 (((~v90(constB62, bitIndex0)) <=> v129(constB62, bitIndex0)) | (~v90(constB62, bitIndex0)) | v129(constB62, bitIndex0)),
% 7.30/5.25 inference(tautology,[status(thm)],[])).
% 7.30/5.25 tff(8347,plain,
% 7.30/5.25 (~v90(constB62, bitIndex0)),
% 7.30/5.25 inference(unit_resolution,[status(thm)],[8346, 8345, 8343])).
% 7.30/5.25 tff(8348,plain,
% 7.30/5.25 (((~v90(constB63, bitIndex0)) <=> v90(constB62, bitIndex0)) | (~v90(constB63, bitIndex0)) | v90(constB62, bitIndex0)),
% 7.30/5.25 inference(tautology,[status(thm)],[])).
% 7.30/5.25 tff(8349,plain,
% 7.30/5.25 (~v90(constB63, bitIndex0)),
% 7.30/5.25 inference(unit_resolution,[status(thm)],[8348, 8347, 8333])).
% 7.30/5.25 tff(8350,plain,
% 7.30/5.25 ((((~v90(constB63, bitIndex1)) <=> v90(constB62, bitIndex1)) | ((~v90(constB63, bitIndex2)) <=> v90(constB62, bitIndex2)) | ((~v90(constB63, bitIndex0)) <=> v90(constB62, bitIndex0))) | (~((~v90(constB63, bitIndex1)) <=> v90(constB62, bitIndex1)))),
% 7.30/5.25 inference(tautology,[status(thm)],[])).
% 7.30/5.25 tff(8351,plain,
% 7.30/5.25 (~((~v90(constB63, bitIndex1)) <=> v90(constB62, bitIndex1))),
% 7.30/5.25 inference(unit_resolution,[status(thm)],[8350, 1187])).
% 7.30/5.25 tff(8352,plain,
% 7.30/5.25 ((((~v129(constB62, bitIndex2)) <=> v127(constB61, bitIndex2)) | ((~v129(constB62, bitIndex1)) <=> v127(constB61, bitIndex1)) | ((~v129(constB62, bitIndex0)) <=> v127(constB61, bitIndex0))) | (~((~v129(constB62, bitIndex1)) <=> v127(constB61, bitIndex1)))),
% 7.30/5.25 inference(tautology,[status(thm)],[])).
% 7.30/5.25 tff(8353,plain,
% 7.30/5.25 (~((~v129(constB62, bitIndex1)) <=> v127(constB61, bitIndex1))),
% 7.30/5.25 inference(unit_resolution,[status(thm)],[8352, 1196])).
% 7.30/5.25 tff(8354,plain,
% 7.30/5.25 ((((~v127(constB61, bitIndex2)) <=> v130(constB61, bitIndex2)) | ((~v127(constB61, bitIndex1)) <=> v130(constB61, bitIndex1)) | ((~v127(constB61, bitIndex0)) <=> v130(constB61, bitIndex0))) | (~((~v127(constB61, bitIndex1)) <=> v130(constB61, bitIndex1)))),
% 7.30/5.25 inference(tautology,[status(thm)],[])).
% 7.30/5.25 tff(8355,plain,
% 7.30/5.25 (~((~v127(constB61, bitIndex1)) <=> v130(constB61, bitIndex1))),
% 7.30/5.25 inference(unit_resolution,[status(thm)],[8354, 1210])).
% 7.30/5.25 tff(8356,plain,
% 7.30/5.25 ((v130(constB61, bitIndex1) | v130(constB61, bitIndex0) | (~v130(constB61, bitIndex2))) | (~v130(constB61, bitIndex1))),
% 7.30/5.25 inference(tautology,[status(thm)],[])).
% 7.30/5.25 tff(8357,plain,
% 7.30/5.25 (~v130(constB61, bitIndex1)),
% 7.30/5.25 inference(unit_resolution,[status(thm)],[8356, 8227])).
% 7.30/5.25 tff(8358,plain,
% 7.30/5.25 (((~v127(constB61, bitIndex1)) <=> v130(constB61, bitIndex1)) | (~v127(constB61, bitIndex1)) | v130(constB61, bitIndex1)),
% 7.30/5.25 inference(tautology,[status(thm)],[])).
% 7.30/5.25 tff(8359,plain,
% 7.30/5.25 (~v127(constB61, bitIndex1)),
% 7.30/5.25 inference(unit_resolution,[status(thm)],[8358, 8357, 8355])).
% 7.30/5.25 tff(8360,plain,
% 7.30/5.25 (((~v129(constB62, bitIndex1)) <=> v127(constB61, bitIndex1)) | (~v129(constB62, bitIndex1)) | v127(constB61, bitIndex1)),
% 7.30/5.25 inference(tautology,[status(thm)],[])).
% 7.30/5.25 tff(8361,plain,
% 7.30/5.25 (~v129(constB62, bitIndex1)),
% 7.30/5.25 inference(unit_resolution,[status(thm)],[8360, 8359, 8353])).
% 7.30/5.25 tff(8362,plain,
% 7.30/5.25 ((((~v90(constB62, bitIndex0)) <=> v129(constB62, bitIndex0)) | ((~v90(constB62, bitIndex2)) <=> v129(constB62, bitIndex2)) | ((~v90(constB62, bitIndex1)) <=> v129(constB62, bitIndex1))) | (~((~v90(constB62, bitIndex1)) <=> v129(constB62, bitIndex1)))),
% 7.30/5.25 inference(tautology,[status(thm)],[])).
% 7.30/5.25 tff(8363,plain,
% 7.30/5.25 (~((~v90(constB62, bitIndex1)) <=> v129(constB62, bitIndex1))),
% 7.30/5.25 inference(unit_resolution,[status(thm)],[8362, 8325])).
% 7.30/5.25 tff(8364,plain,
% 7.30/5.25 (((~v90(constB62, bitIndex1)) <=> v129(constB62, bitIndex1)) | (~v90(constB62, bitIndex1)) | v129(constB62, bitIndex1)),
% 7.30/5.25 inference(tautology,[status(thm)],[])).
% 7.30/5.25 tff(8365,plain,
% 7.30/5.25 (~v90(constB62, bitIndex1)),
% 7.30/5.25 inference(unit_resolution,[status(thm)],[8364, 8363, 8361])).
% 7.30/5.25 tff(8366,plain,
% 7.30/5.25 (((~v90(constB63, bitIndex1)) <=> v90(constB62, bitIndex1)) | (~v90(constB63, bitIndex1)) | v90(constB62, bitIndex1)),
% 7.30/5.25 inference(tautology,[status(thm)],[])).
% 7.30/5.25 tff(8367,plain,
% 7.30/5.25 (~v90(constB63, bitIndex1)),
% 7.30/5.25 inference(unit_resolution,[status(thm)],[8366, 8365, 8351])).
% 7.30/5.25 tff(8368,plain,
% 7.30/5.25 ((~(v90(constB63, bitIndex1) | v90(constB63, bitIndex0) | (~v90(constB63, bitIndex2)))) | v90(constB63, bitIndex1) | v90(constB63, bitIndex0) | (~v90(constB63, bitIndex2))),
% 7.30/5.25 inference(tautology,[status(thm)],[])).
% 7.30/5.25 tff(8369,plain,
% 7.30/5.25 (~(v90(constB63, bitIndex1) | v90(constB63, bitIndex0) | (~v90(constB63, bitIndex2)))),
% 7.30/5.25 inference(unit_resolution,[status(thm)],[8368, 8367, 8349, 8331])).
% 7.30/5.25 tff(8370,plain,
% 7.30/5.25 ((~(v123(constB63) <=> (~(v90(constB63, bitIndex1) | v90(constB63, bitIndex0) | (~v90(constB63, bitIndex2)))))) | v123(constB63) | (v90(constB63, bitIndex1) | v90(constB63, bitIndex0) | (~v90(constB63, bitIndex2)))),
% 7.30/5.25 inference(tautology,[status(thm)],[])).
% 7.30/5.25 tff(8371,plain,
% 7.30/5.25 (v123(constB63)),
% 7.30/5.25 inference(unit_resolution,[status(thm)],[8370, 8369, 1153])).
% 7.30/5.25 tff(8372,plain,
% 7.30/5.25 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | ((~v123(constB63)) | (~(v130(constB63, bitIndex0) | (~v130(constB63, bitIndex2)) | (~v130(constB63, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | (~v123(constB63)) | (~(v130(constB63, bitIndex0) | (~v130(constB63, bitIndex2)) | (~v130(constB63, bitIndex1)))))),
% 7.30/5.25 inference(rewrite,[status(thm)],[])).
% 7.30/5.25 tff(8373,plain,
% 7.30/5.25 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | ((~v123(constB63)) | (~(v130(constB63, bitIndex0) | (~v130(constB63, bitIndex2)) | (~v130(constB63, bitIndex1)))))),
% 7.30/5.25 inference(quant_inst,[status(thm)],[])).
% 7.30/5.25 tff(8374,plain,
% 7.30/5.25 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | (~v123(constB63)) | (~(v130(constB63, bitIndex0) | (~v130(constB63, bitIndex2)) | (~v130(constB63, bitIndex1))))),
% 7.30/5.25 inference(modus_ponens,[status(thm)],[8373, 8372])).
% 7.30/5.25 tff(8375,plain,
% 7.30/5.25 ((~v123(constB63)) | (~(v130(constB63, bitIndex0) | (~v130(constB63, bitIndex2)) | (~v130(constB63, bitIndex1))))),
% 7.30/5.25 inference(unit_resolution,[status(thm)],[8374, 3496])).
% 7.30/5.25 tff(8376,plain,
% 7.30/5.25 (~(v130(constB63, bitIndex0) | (~v130(constB63, bitIndex2)) | (~v130(constB63, bitIndex1)))),
% 7.30/5.25 inference(unit_resolution,[status(thm)],[8375, 8371])).
% 7.30/5.25 tff(8377,plain,
% 7.30/5.25 ((v130(constB63, bitIndex0) | (~v130(constB63, bitIndex2)) | (~v130(constB63, bitIndex1))) | v130(constB63, bitIndex2)),
% 7.30/5.25 inference(tautology,[status(thm)],[])).
% 7.30/5.25 tff(8378,plain,
% 7.30/5.25 (v130(constB63, bitIndex2)),
% 7.30/5.25 inference(unit_resolution,[status(thm)],[8377, 8376])).
% 7.30/5.25 tff(8379,plain,
% 7.30/5.25 (((~v127(constB63, bitIndex2)) <=> v130(constB63, bitIndex2)) | v127(constB63, bitIndex2) | (~v130(constB63, bitIndex2))),
% 7.30/5.25 inference(tautology,[status(thm)],[])).
% 7.30/5.25 tff(8380,plain,
% 7.30/5.25 (v127(constB63, bitIndex2)),
% 7.30/5.25 inference(unit_resolution,[status(thm)],[8379, 8378, 1146])).
% 7.30/5.25 tff(8381,plain,
% 7.30/5.25 (((~v129(constB64, bitIndex2)) <=> v127(constB63, bitIndex2)) | v129(constB64, bitIndex2) | (~v127(constB63, bitIndex2))),
% 7.30/5.25 inference(tautology,[status(thm)],[])).
% 7.30/5.25 tff(8382,plain,
% 7.30/5.25 (v129(constB64, bitIndex2)),
% 7.30/5.25 inference(unit_resolution,[status(thm)],[8381, 8380, 1132])).
% 7.30/5.25 tff(8383,plain,
% 7.30/5.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB63, constB64)) | (v100(constB64) <=> (~((~v101(constB64)) | (~v110(constB64))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB63, constB64)) | (v100(constB64) <=> (~((~v101(constB64)) | (~v110(constB64))))))),
% 7.30/5.25 inference(rewrite,[status(thm)],[])).
% 7.30/5.25 tff(8384,plain,
% 7.30/5.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB63, constB64)) | (v100(constB64) <=> (~((~v101(constB64)) | (~v110(constB64))))))),
% 7.30/5.25 inference(quant_inst,[status(thm)],[])).
% 7.30/5.25 tff(8385,plain,
% 7.30/5.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB63, constB64)) | (v100(constB64) <=> (~((~v101(constB64)) | (~v110(constB64)))))),
% 7.30/5.26 inference(modus_ponens,[status(thm)],[8384, 8383])).
% 7.30/5.26 tff(8386,plain,
% 7.30/5.26 (v100(constB64) <=> (~((~v101(constB64)) | (~v110(constB64))))),
% 7.30/5.26 inference(unit_resolution,[status(thm)],[8385, 1126, 445])).
% 7.30/5.26 tff(8387,plain,
% 7.30/5.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB63, constB64)) | (v101(constB64) <=> (~((~v1(constB64)) | (~v102(constB64))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB63, constB64)) | (v101(constB64) <=> (~((~v1(constB64)) | (~v102(constB64))))))),
% 7.30/5.26 inference(rewrite,[status(thm)],[])).
% 7.30/5.26 tff(8388,plain,
% 7.30/5.26 (((~nextState(constB63, constB64)) | (v101(constB64) <=> (~((~v102(constB64)) | (~v1(constB64)))))) <=> ((~nextState(constB63, constB64)) | (v101(constB64) <=> (~((~v1(constB64)) | (~v102(constB64))))))),
% 7.30/5.26 inference(rewrite,[status(thm)],[])).
% 7.30/5.26 tff(8389,plain,
% 7.30/5.26 (((~![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) <=> (~((~v1(constB64)) | (~v102(constB64)))))))),
% 7.30/5.26 inference(monotonicity,[status(thm)],[8388])).
% 7.30/5.26 tff(8390,plain,
% 7.30/5.26 (((~![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) <=> (~((~v1(constB64)) | (~v102(constB64))))))),
% 7.30/5.26 inference(transitivity,[status(thm)],[8389, 8387])).
% 7.30/5.26 tff(8391,plain,
% 7.30/5.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB63, constB64)) | (v101(constB64) <=> (~((~v102(constB64)) | (~v1(constB64))))))),
% 7.30/5.26 inference(quant_inst,[status(thm)],[])).
% 7.30/5.26 tff(8392,plain,
% 7.30/5.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB63, constB64)) | (v101(constB64) <=> (~((~v1(constB64)) | (~v102(constB64)))))),
% 7.30/5.26 inference(modus_ponens,[status(thm)],[8391, 8390])).
% 7.30/5.26 tff(8393,plain,
% 7.30/5.26 (v101(constB64) <=> (~((~v1(constB64)) | (~v102(constB64))))),
% 7.30/5.26 inference(unit_resolution,[status(thm)],[8392, 1126, 465])).
% 7.30/5.26 tff(8394,plain,
% 7.30/5.26 (((~![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)))),
% 7.30/5.26 inference(rewrite,[status(thm)],[])).
% 7.30/5.26 tff(8395,plain,
% 7.30/5.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB63, constB64)) | ((~v102(constB64)) <=> v104(constB64)))),
% 7.30/5.26 inference(quant_inst,[status(thm)],[])).
% 7.30/5.26 tff(8396,plain,
% 7.30/5.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB63, constB64)) | ((~v102(constB64)) <=> v104(constB64))),
% 7.30/5.26 inference(modus_ponens,[status(thm)],[8395, 8394])).
% 7.30/5.26 tff(8397,plain,
% 7.30/5.26 ((~v102(constB64)) <=> v104(constB64)),
% 7.30/5.26 inference(unit_resolution,[status(thm)],[8396, 1126, 3244])).
% 7.30/5.26 tff(8398,plain,
% 7.30/5.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB63, constB64)) | (v104(constB64) <=> v1(constB63)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB63, constB64)) | (v104(constB64) <=> v1(constB63)))),
% 7.30/5.26 inference(rewrite,[status(thm)],[])).
% 7.30/5.26 tff(8399,plain,
% 7.30/5.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB63, constB64)) | (v104(constB64) <=> v1(constB63)))),
% 7.30/5.26 inference(quant_inst,[status(thm)],[])).
% 7.30/5.26 tff(8400,plain,
% 7.30/5.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB63, constB64)) | (v104(constB64) <=> v1(constB63))),
% 7.30/5.26 inference(modus_ponens,[status(thm)],[8399, 8398])).
% 7.30/5.26 tff(8401,plain,
% 7.30/5.26 (v104(constB64) <=> v1(constB63)),
% 7.30/5.26 inference(unit_resolution,[status(thm)],[8400, 1126, 3258])).
% 7.30/5.26 tff(8402,plain,
% 7.30/5.26 ((~(v104(constB64) <=> v1(constB63))) | (~v104(constB64)) | v1(constB63)),
% 7.30/5.26 inference(tautology,[status(thm)],[])).
% 7.30/5.26 tff(8403,plain,
% 7.30/5.26 ((~(v104(constB64) <=> v1(constB63))) | (~v104(constB64))),
% 7.30/5.26 inference(unit_resolution,[status(thm)],[8402, 1170])).
% 7.30/5.26 tff(8404,plain,
% 7.30/5.26 (~v104(constB64)),
% 7.30/5.26 inference(unit_resolution,[status(thm)],[8403, 8401])).
% 7.30/5.26 tff(8405,plain,
% 7.30/5.26 ((~((~v102(constB64)) <=> v104(constB64))) | v102(constB64) | v104(constB64)),
% 7.30/5.26 inference(tautology,[status(thm)],[])).
% 7.30/5.26 tff(8406,plain,
% 7.30/5.26 (v102(constB64)),
% 7.30/5.26 inference(unit_resolution,[status(thm)],[8405, 8404, 8397])).
% 7.30/5.26 tff(8407,plain,
% 7.30/5.26 (v1(constB64) <=> v1(constB64)),
% 7.30/5.26 inference(rewrite,[status(thm)],[])).
% 7.30/5.26 tff(8408,axiom,(v1(constB64)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_64')).
% 7.30/5.26 tff(8409,plain,
% 7.30/5.26 (v1(constB64)),
% 7.30/5.26 inference(modus_ponens,[status(thm)],[8408, 8407])).
% 7.30/5.26 tff(8410,plain,
% 7.30/5.26 ((~((~v1(constB64)) | (~v102(constB64)))) | (~v1(constB64)) | (~v102(constB64))),
% 7.30/5.26 inference(tautology,[status(thm)],[])).
% 7.30/5.26 tff(8411,plain,
% 7.30/5.26 ((~((~v1(constB64)) | (~v102(constB64)))) | (~v102(constB64))),
% 7.30/5.26 inference(unit_resolution,[status(thm)],[8410, 8409])).
% 7.30/5.26 tff(8412,plain,
% 7.30/5.26 (~((~v1(constB64)) | (~v102(constB64)))),
% 7.30/5.26 inference(unit_resolution,[status(thm)],[8411, 8406])).
% 7.30/5.26 tff(8413,plain,
% 7.30/5.26 ((~(v101(constB64) <=> (~((~v1(constB64)) | (~v102(constB64)))))) | v101(constB64) | ((~v1(constB64)) | (~v102(constB64)))),
% 7.30/5.26 inference(tautology,[status(thm)],[])).
% 7.30/5.26 tff(8414,plain,
% 7.30/5.26 (v101(constB64)),
% 7.30/5.26 inference(unit_resolution,[status(thm)],[8413, 8412, 8393])).
% 7.30/5.26 tff(8415,plain,
% 7.30/5.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB63, constB64)) | (v110(constB64) <=> v108(constB63)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB63, constB64)) | (v110(constB64) <=> v108(constB63)))),
% 7.30/5.26 inference(rewrite,[status(thm)],[])).
% 7.30/5.26 tff(8416,plain,
% 7.30/5.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB63, constB64)) | (v110(constB64) <=> v108(constB63)))),
% 7.30/5.26 inference(quant_inst,[status(thm)],[])).
% 7.30/5.26 tff(8417,plain,
% 7.30/5.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB63, constB64)) | (v110(constB64) <=> v108(constB63))),
% 7.30/5.26 inference(modus_ponens,[status(thm)],[8416, 8415])).
% 7.30/5.26 tff(8418,plain,
% 7.30/5.26 (v110(constB64) <=> v108(constB63)),
% 7.30/5.26 inference(unit_resolution,[status(thm)],[8417, 1126, 3285])).
% 7.30/5.26 tff(8419,plain,
% 7.30/5.26 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB63) <=> (v111(constB63) | v112(constB63)))),
% 7.30/5.26 inference(quant_inst,[status(thm)],[])).
% 7.30/5.26 tff(8420,plain,
% 7.30/5.26 (v108(constB63) <=> (v111(constB63) | v112(constB63))),
% 7.30/5.26 inference(unit_resolution,[status(thm)],[8419, 3296])).
% 7.30/5.26 tff(8421,plain,
% 7.30/5.26 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB63) <=> (~((~v113(constB63)) | (~v126(constB63)))))),
% 7.30/5.26 inference(quant_inst,[status(thm)],[])).
% 7.30/5.26 tff(8422,plain,
% 7.30/5.26 (v112(constB63) <=> (~((~v113(constB63)) | (~v126(constB63))))),
% 7.30/5.26 inference(unit_resolution,[status(thm)],[8421, 3308])).
% 7.30/5.26 tff(8423,plain,
% 7.30/5.26 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB63) <=> (v114(constB63) | v125(constB63)))),
% 7.30/5.26 inference(quant_inst,[status(thm)],[])).
% 7.30/5.26 tff(8424,plain,
% 7.30/5.26 (v113(constB63) <=> (v114(constB63) | v125(constB63))),
% 7.30/5.26 inference(unit_resolution,[status(thm)],[8423, 3317])).
% 7.30/5.26 tff(8425,plain,
% 7.30/5.26 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB63) <=> (v115(constB63) | v124(constB63)))),
% 7.30/5.26 inference(quant_inst,[status(thm)],[])).
% 7.30/5.26 tff(8426,plain,
% 7.30/5.26 (v114(constB63) <=> (v115(constB63) | v124(constB63))),
% 7.30/5.26 inference(unit_resolution,[status(thm)],[8425, 3326])).
% 7.30/5.26 tff(8427,plain,
% 7.30/5.26 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB63) <=> (v116(constB63) | v123(constB63)))),
% 7.30/5.26 inference(quant_inst,[status(thm)],[])).
% 7.30/5.26 tff(8428,plain,
% 7.30/5.26 (v115(constB63) <=> (v116(constB63) | v123(constB63))),
% 7.30/5.26 inference(unit_resolution,[status(thm)],[8427, 3335])).
% 7.30/5.26 tff(8429,plain,
% 7.30/5.26 ((v116(constB63) | v123(constB63)) | (~v123(constB63))),
% 7.30/5.26 inference(tautology,[status(thm)],[])).
% 7.30/5.26 tff(8430,plain,
% 7.30/5.26 (v116(constB63) | v123(constB63)),
% 7.30/5.26 inference(unit_resolution,[status(thm)],[8429, 8371])).
% 7.30/5.26 tff(8431,plain,
% 7.30/5.26 ((~(v115(constB63) <=> (v116(constB63) | v123(constB63)))) | v115(constB63) | (~(v116(constB63) | v123(constB63)))),
% 7.30/5.26 inference(tautology,[status(thm)],[])).
% 7.30/5.26 tff(8432,plain,
% 7.30/5.26 (v115(constB63)),
% 7.30/5.26 inference(unit_resolution,[status(thm)],[8431, 8430, 8428])).
% 7.30/5.26 tff(8433,plain,
% 7.30/5.26 ((v115(constB63) | v124(constB63)) | (~v115(constB63))),
% 7.30/5.26 inference(tautology,[status(thm)],[])).
% 7.30/5.26 tff(8434,plain,
% 7.30/5.26 (v115(constB63) | v124(constB63)),
% 7.30/5.26 inference(unit_resolution,[status(thm)],[8433, 8432])).
% 7.30/5.26 tff(8435,plain,
% 7.30/5.26 ((~(v114(constB63) <=> (v115(constB63) | v124(constB63)))) | v114(constB63) | (~(v115(constB63) | v124(constB63)))),
% 7.30/5.26 inference(tautology,[status(thm)],[])).
% 7.30/5.26 tff(8436,plain,
% 7.30/5.26 (v114(constB63)),
% 7.30/5.26 inference(unit_resolution,[status(thm)],[8435, 8434, 8426])).
% 7.30/5.26 tff(8437,plain,
% 7.30/5.26 ((v114(constB63) | v125(constB63)) | (~v114(constB63))),
% 7.30/5.26 inference(tautology,[status(thm)],[])).
% 7.30/5.26 tff(8438,plain,
% 7.30/5.26 (v114(constB63) | v125(constB63)),
% 7.30/5.26 inference(unit_resolution,[status(thm)],[8437, 8436])).
% 7.30/5.26 tff(8439,plain,
% 7.30/5.26 ((~(v113(constB63) <=> (v114(constB63) | v125(constB63)))) | v113(constB63) | (~(v114(constB63) | v125(constB63)))),
% 7.30/5.26 inference(tautology,[status(thm)],[])).
% 7.30/5.26 tff(8440,plain,
% 7.30/5.26 (v113(constB63)),
% 7.30/5.26 inference(unit_resolution,[status(thm)],[8439, 8438, 8424])).
% 7.30/5.26 tff(8441,plain,
% 7.30/5.26 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB63)) <=> v111(constB63))),
% 7.30/5.26 inference(quant_inst,[status(thm)],[])).
% 7.30/5.26 tff(8442,plain,
% 7.30/5.26 ((~v126(constB63)) <=> v111(constB63)),
% 7.30/5.26 inference(unit_resolution,[status(thm)],[8441, 3396])).
% 7.30/5.26 tff(8443,plain,
% 7.30/5.26 ((~((~v126(constB63)) <=> v111(constB63))) | v126(constB63) | v111(constB63)),
% 7.30/5.26 inference(tautology,[status(thm)],[])).
% 7.30/5.26 tff(8444,plain,
% 7.30/5.26 ((~((~v126(constB63)) <=> v111(constB63))) | v126(constB63)),
% 7.30/5.26 inference(unit_resolution,[status(thm)],[8443, 1139])).
% 7.30/5.26 tff(8445,plain,
% 7.30/5.26 (v126(constB63)),
% 7.30/5.26 inference(unit_resolution,[status(thm)],[8444, 8442])).
% 7.30/5.26 tff(8446,plain,
% 7.30/5.26 ((~((~v113(constB63)) | (~v126(constB63)))) | (~v113(constB63)) | (~v126(constB63))),
% 7.30/5.26 inference(tautology,[status(thm)],[])).
% 7.30/5.26 tff(8447,plain,
% 7.30/5.26 ((~((~v113(constB63)) | (~v126(constB63)))) | (~v113(constB63))),
% 7.30/5.26 inference(unit_resolution,[status(thm)],[8446, 8445])).
% 7.30/5.26 tff(8448,plain,
% 7.30/5.26 (~((~v113(constB63)) | (~v126(constB63)))),
% 7.30/5.26 inference(unit_resolution,[status(thm)],[8447, 8440])).
% 7.30/5.26 tff(8449,plain,
% 7.30/5.26 ((~(v112(constB63) <=> (~((~v113(constB63)) | (~v126(constB63)))))) | v112(constB63) | ((~v113(constB63)) | (~v126(constB63)))),
% 7.30/5.26 inference(tautology,[status(thm)],[])).
% 7.30/5.26 tff(8450,plain,
% 7.30/5.26 (v112(constB63)),
% 7.30/5.26 inference(unit_resolution,[status(thm)],[8449, 8448, 8422])).
% 7.30/5.26 tff(8451,plain,
% 7.30/5.26 ((v111(constB63) | v112(constB63)) | (~v112(constB63))),
% 7.30/5.26 inference(tautology,[status(thm)],[])).
% 7.30/5.26 tff(8452,plain,
% 7.30/5.26 (v111(constB63) | v112(constB63)),
% 7.30/5.26 inference(unit_resolution,[status(thm)],[8451, 8450])).
% 7.30/5.26 tff(8453,plain,
% 7.30/5.26 ((~(v108(constB63) <=> (v111(constB63) | v112(constB63)))) | v108(constB63) | (~(v111(constB63) | v112(constB63)))),
% 7.30/5.26 inference(tautology,[status(thm)],[])).
% 7.30/5.26 tff(8454,plain,
% 7.30/5.26 (v108(constB63)),
% 7.30/5.26 inference(unit_resolution,[status(thm)],[8453, 8452, 8420])).
% 7.30/5.26 tff(8455,plain,
% 7.30/5.26 ((~(v110(constB64) <=> v108(constB63))) | v110(constB64) | (~v108(constB63))),
% 7.30/5.26 inference(tautology,[status(thm)],[])).
% 7.30/5.26 tff(8456,plain,
% 7.30/5.26 (v110(constB64)),
% 7.30/5.26 inference(unit_resolution,[status(thm)],[8455, 8454, 8418])).
% 7.30/5.26 tff(8457,plain,
% 7.30/5.26 ((~((~v101(constB64)) | (~v110(constB64)))) | (~v101(constB64)) | (~v110(constB64))),
% 7.30/5.26 inference(tautology,[status(thm)],[])).
% 7.30/5.26 tff(8458,plain,
% 7.30/5.26 (~((~v101(constB64)) | (~v110(constB64)))),
% 7.30/5.26 inference(unit_resolution,[status(thm)],[8457, 8456, 8414])).
% 7.30/5.26 tff(8459,plain,
% 7.30/5.26 ((~(v100(constB64) <=> (~((~v101(constB64)) | (~v110(constB64)))))) | v100(constB64) | ((~v101(constB64)) | (~v110(constB64)))),
% 7.30/5.26 inference(tautology,[status(thm)],[])).
% 7.30/5.26 tff(8460,plain,
% 7.30/5.26 (v100(constB64)),
% 7.30/5.26 inference(unit_resolution,[status(thm)],[8459, 8458, 8386])).
% 7.30/5.26 tff(8461,plain,
% 7.30/5.26 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB64)) | (~(((~v90(constB64, bitIndex2)) <=> v129(constB64, bitIndex2)) | ((~v90(constB64, bitIndex1)) <=> v129(constB64, bitIndex1)) | ((~v90(constB64, bitIndex0)) <=> v129(constB64, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB64)) | (~(((~v90(constB64, bitIndex2)) <=> v129(constB64, bitIndex2)) | ((~v90(constB64, bitIndex1)) <=> v129(constB64, bitIndex1)) | ((~v90(constB64, bitIndex0)) <=> v129(constB64, bitIndex0)))))),
% 7.30/5.26 inference(rewrite,[status(thm)],[])).
% 7.30/5.26 tff(8462,plain,
% 7.30/5.26 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB64)) | (~(((~v90(constB64, bitIndex2)) <=> v129(constB64, bitIndex2)) | ((~v90(constB64, bitIndex1)) <=> v129(constB64, bitIndex1)) | ((~v90(constB64, bitIndex0)) <=> v129(constB64, bitIndex0)))))),
% 7.30/5.26 inference(quant_inst,[status(thm)],[])).
% 7.30/5.26 tff(8463,plain,
% 7.30/5.26 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB64)) | (~(((~v90(constB64, bitIndex2)) <=> v129(constB64, bitIndex2)) | ((~v90(constB64, bitIndex1)) <=> v129(constB64, bitIndex1)) | ((~v90(constB64, bitIndex0)) <=> v129(constB64, bitIndex0))))),
% 7.30/5.26 inference(modus_ponens,[status(thm)],[8462, 8461])).
% 7.30/5.26 tff(8464,plain,
% 7.30/5.26 ((~v100(constB64)) | (~(((~v90(constB64, bitIndex2)) <=> v129(constB64, bitIndex2)) | ((~v90(constB64, bitIndex1)) <=> v129(constB64, bitIndex1)) | ((~v90(constB64, bitIndex0)) <=> v129(constB64, bitIndex0))))),
% 7.30/5.26 inference(unit_resolution,[status(thm)],[8463, 3429])).
% 7.30/5.26 tff(8465,plain,
% 7.30/5.26 (~(((~v90(constB64, bitIndex2)) <=> v129(constB64, bitIndex2)) | ((~v90(constB64, bitIndex1)) <=> v129(constB64, bitIndex1)) | ((~v90(constB64, bitIndex0)) <=> v129(constB64, bitIndex0)))),
% 7.30/5.26 inference(unit_resolution,[status(thm)],[8464, 8460])).
% 7.30/5.26 tff(8466,plain,
% 7.30/5.26 ((((~v90(constB64, bitIndex2)) <=> v129(constB64, bitIndex2)) | ((~v90(constB64, bitIndex1)) <=> v129(constB64, bitIndex1)) | ((~v90(constB64, bitIndex0)) <=> v129(constB64, bitIndex0))) | (~((~v90(constB64, bitIndex2)) <=> v129(constB64, bitIndex2)))),
% 7.30/5.26 inference(tautology,[status(thm)],[])).
% 7.30/5.26 tff(8467,plain,
% 7.30/5.26 (~((~v90(constB64, bitIndex2)) <=> v129(constB64, bitIndex2))),
% 7.30/5.26 inference(unit_resolution,[status(thm)],[8466, 8465])).
% 7.30/5.26 tff(8468,plain,
% 7.30/5.26 (((~v90(constB64, bitIndex2)) <=> v129(constB64, bitIndex2)) | v90(constB64, bitIndex2) | (~v129(constB64, bitIndex2))),
% 7.30/5.26 inference(tautology,[status(thm)],[])).
% 7.30/5.26 tff(8469,plain,
% 7.30/5.26 (v90(constB64, bitIndex2)),
% 7.30/5.26 inference(unit_resolution,[status(thm)],[8468, 8467, 8382])).
% 7.30/5.26 tff(8470,plain,
% 7.30/5.26 (((~v90(constB65, bitIndex2)) <=> v90(constB64, bitIndex2)) | v90(constB65, bitIndex2) | (~v90(constB64, bitIndex2))),
% 7.30/5.26 inference(tautology,[status(thm)],[])).
% 7.30/5.26 tff(8471,plain,
% 7.30/5.26 (v90(constB65, bitIndex2)),
% 7.30/5.26 inference(unit_resolution,[status(thm)],[8470, 8469, 1123])).
% 7.30/5.26 tff(8472,plain,
% 7.30/5.26 ((v90(constB65, bitIndex0) | v90(constB65, bitIndex1) | v90(constB65, bitIndex2)) | (~v90(constB65, bitIndex2))),
% 7.30/5.26 inference(tautology,[status(thm)],[])).
% 7.30/5.26 tff(8473,plain,
% 7.30/5.26 (v90(constB65, bitIndex0) | v90(constB65, bitIndex1) | v90(constB65, bitIndex2)),
% 7.30/5.26 inference(unit_resolution,[status(thm)],[8472, 8471])).
% 7.30/5.26 tff(8474,plain,
% 7.30/5.26 ((~(v119(constB65) <=> (~(v90(constB65, bitIndex0) | v90(constB65, bitIndex1) | v90(constB65, bitIndex2))))) | (~v119(constB65)) | (~(v90(constB65, bitIndex0) | v90(constB65, bitIndex1) | v90(constB65, bitIndex2)))),
% 7.30/5.26 inference(tautology,[status(thm)],[])).
% 7.30/5.26 tff(8475,plain,
% 7.30/5.26 (~v119(constB65)),
% 7.30/5.26 inference(unit_resolution,[status(thm)],[8474, 8473, 1087])).
% 7.30/5.26 tff(8476,plain,
% 7.30/5.26 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB65) <=> (~(v90(constB65, bitIndex1) | (~v90(constB65, bitIndex2)) | (~v90(constB65, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB65) <=> (~(v90(constB65, bitIndex1) | (~v90(constB65, bitIndex2)) | (~v90(constB65, bitIndex0))))))),
% 7.30/5.26 inference(rewrite,[status(thm)],[])).
% 7.30/5.26 tff(8477,plain,
% 7.30/5.26 ((v124(constB65) <=> (~(v90(constB65, bitIndex1) | (~v90(constB65, bitIndex0)) | (~v90(constB65, bitIndex2))))) <=> (v124(constB65) <=> (~(v90(constB65, bitIndex1) | (~v90(constB65, bitIndex2)) | (~v90(constB65, bitIndex0)))))),
% 7.30/5.26 inference(rewrite,[status(thm)],[])).
% 7.30/5.26 tff(8478,plain,
% 7.30/5.26 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB65) <=> (~(v90(constB65, bitIndex1) | (~v90(constB65, bitIndex0)) | (~v90(constB65, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB65) <=> (~(v90(constB65, bitIndex1) | (~v90(constB65, bitIndex2)) | (~v90(constB65, bitIndex0))))))),
% 7.30/5.26 inference(monotonicity,[status(thm)],[8477])).
% 7.30/5.26 tff(8479,plain,
% 7.30/5.26 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB65) <=> (~(v90(constB65, bitIndex1) | (~v90(constB65, bitIndex0)) | (~v90(constB65, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB65) <=> (~(v90(constB65, bitIndex1) | (~v90(constB65, bitIndex2)) | (~v90(constB65, bitIndex0))))))),
% 7.30/5.26 inference(transitivity,[status(thm)],[8478, 8476])).
% 7.30/5.26 tff(8480,plain,
% 7.30/5.26 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB65) <=> (~(v90(constB65, bitIndex1) | (~v90(constB65, bitIndex0)) | (~v90(constB65, bitIndex2)))))),
% 7.30/5.26 inference(quant_inst,[status(thm)],[])).
% 7.30/5.26 tff(8481,plain,
% 7.30/5.26 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB65) <=> (~(v90(constB65, bitIndex1) | (~v90(constB65, bitIndex2)) | (~v90(constB65, bitIndex0)))))),
% 7.30/5.26 inference(modus_ponens,[status(thm)],[8480, 8479])).
% 7.30/5.26 tff(8482,plain,
% 7.30/5.26 (v124(constB65) <=> (~(v90(constB65, bitIndex1) | (~v90(constB65, bitIndex2)) | (~v90(constB65, bitIndex0))))),
% 7.30/5.26 inference(unit_resolution,[status(thm)],[8481, 3613])).
% 7.30/5.26 tff(8483,plain,
% 7.30/5.26 ((((~v90(constB65, bitIndex1)) <=> v90(constB64, bitIndex1)) | ((~v90(constB65, bitIndex2)) <=> v90(constB64, bitIndex2)) | ((~v90(constB65, bitIndex0)) <=> v90(constB64, bitIndex0))) | (~((~v90(constB65, bitIndex1)) <=> v90(constB64, bitIndex1)))),
% 7.30/5.26 inference(tautology,[status(thm)],[])).
% 7.30/5.26 tff(8484,plain,
% 7.30/5.26 (~((~v90(constB65, bitIndex1)) <=> v90(constB64, bitIndex1))),
% 7.30/5.26 inference(unit_resolution,[status(thm)],[8483, 1121])).
% 7.30/5.26 tff(8485,plain,
% 7.30/5.26 ((((~v129(constB64, bitIndex2)) <=> v127(constB63, bitIndex2)) | ((~v129(constB64, bitIndex1)) <=> v127(constB63, bitIndex1)) | ((~v129(constB64, bitIndex0)) <=> v127(constB63, bitIndex0))) | (~((~v129(constB64, bitIndex1)) <=> v127(constB63, bitIndex1)))),
% 7.30/5.26 inference(tautology,[status(thm)],[])).
% 7.30/5.26 tff(8486,plain,
% 7.30/5.26 (~((~v129(constB64, bitIndex1)) <=> v127(constB63, bitIndex1))),
% 7.30/5.26 inference(unit_resolution,[status(thm)],[8485, 1130])).
% 7.30/5.26 tff(8487,plain,
% 7.30/5.26 ((((~v127(constB63, bitIndex2)) <=> v130(constB63, bitIndex2)) | ((~v127(constB63, bitIndex1)) <=> v130(constB63, bitIndex1)) | ((~v127(constB63, bitIndex0)) <=> v130(constB63, bitIndex0))) | (~((~v127(constB63, bitIndex1)) <=> v130(constB63, bitIndex1)))),
% 7.30/5.26 inference(tautology,[status(thm)],[])).
% 7.30/5.26 tff(8488,plain,
% 7.30/5.26 (~((~v127(constB63, bitIndex1)) <=> v130(constB63, bitIndex1))),
% 7.30/5.26 inference(unit_resolution,[status(thm)],[8487, 1144])).
% 7.30/5.26 tff(8489,plain,
% 7.30/5.26 ((v130(constB63, bitIndex0) | (~v130(constB63, bitIndex2)) | (~v130(constB63, bitIndex1))) | v130(constB63, bitIndex1)),
% 7.30/5.26 inference(tautology,[status(thm)],[])).
% 7.30/5.26 tff(8490,plain,
% 7.30/5.26 (v130(constB63, bitIndex1)),
% 7.30/5.26 inference(unit_resolution,[status(thm)],[8489, 8376])).
% 7.30/5.26 tff(8491,plain,
% 7.30/5.26 (((~v127(constB63, bitIndex1)) <=> v130(constB63, bitIndex1)) | v127(constB63, bitIndex1) | (~v130(constB63, bitIndex1))),
% 7.30/5.26 inference(tautology,[status(thm)],[])).
% 7.30/5.26 tff(8492,plain,
% 7.30/5.26 (v127(constB63, bitIndex1)),
% 7.30/5.26 inference(unit_resolution,[status(thm)],[8491, 8490, 8488])).
% 7.30/5.26 tff(8493,plain,
% 7.30/5.26 (((~v129(constB64, bitIndex1)) <=> v127(constB63, bitIndex1)) | v129(constB64, bitIndex1) | (~v127(constB63, bitIndex1))),
% 7.30/5.26 inference(tautology,[status(thm)],[])).
% 7.30/5.26 tff(8494,plain,
% 7.30/5.26 (v129(constB64, bitIndex1)),
% 7.30/5.26 inference(unit_resolution,[status(thm)],[8493, 8492, 8486])).
% 7.30/5.26 tff(8495,plain,
% 7.30/5.26 ((((~v90(constB64, bitIndex2)) <=> v129(constB64, bitIndex2)) | ((~v90(constB64, bitIndex1)) <=> v129(constB64, bitIndex1)) | ((~v90(constB64, bitIndex0)) <=> v129(constB64, bitIndex0))) | (~((~v90(constB64, bitIndex1)) <=> v129(constB64, bitIndex1)))),
% 7.30/5.26 inference(tautology,[status(thm)],[])).
% 7.30/5.26 tff(8496,plain,
% 7.30/5.26 (~((~v90(constB64, bitIndex1)) <=> v129(constB64, bitIndex1))),
% 7.30/5.26 inference(unit_resolution,[status(thm)],[8495, 8465])).
% 7.30/5.26 tff(8497,plain,
% 7.30/5.26 (((~v90(constB64, bitIndex1)) <=> v129(constB64, bitIndex1)) | v90(constB64, bitIndex1) | (~v129(constB64, bitIndex1))),
% 7.30/5.26 inference(tautology,[status(thm)],[])).
% 7.30/5.26 tff(8498,plain,
% 7.30/5.26 (v90(constB64, bitIndex1)),
% 7.30/5.26 inference(unit_resolution,[status(thm)],[8497, 8496, 8494])).
% 7.30/5.26 tff(8499,plain,
% 7.30/5.26 (((~v90(constB65, bitIndex1)) <=> v90(constB64, bitIndex1)) | v90(constB65, bitIndex1) | (~v90(constB64, bitIndex1))),
% 7.30/5.26 inference(tautology,[status(thm)],[])).
% 7.30/5.26 tff(8500,plain,
% 7.30/5.26 (v90(constB65, bitIndex1)),
% 7.30/5.26 inference(unit_resolution,[status(thm)],[8499, 8498, 8484])).
% 7.30/5.26 tff(8501,plain,
% 7.30/5.26 ((v90(constB65, bitIndex1) | (~v90(constB65, bitIndex2)) | (~v90(constB65, bitIndex0))) | (~v90(constB65, bitIndex1))),
% 7.30/5.26 inference(tautology,[status(thm)],[])).
% 7.30/5.26 tff(8502,plain,
% 7.30/5.26 (v90(constB65, bitIndex1) | (~v90(constB65, bitIndex2)) | (~v90(constB65, bitIndex0))),
% 7.30/5.26 inference(unit_resolution,[status(thm)],[8501, 8500])).
% 7.30/5.26 tff(8503,plain,
% 7.30/5.26 ((~(v124(constB65) <=> (~(v90(constB65, bitIndex1) | (~v90(constB65, bitIndex2)) | (~v90(constB65, bitIndex0)))))) | (~v124(constB65)) | (~(v90(constB65, bitIndex1) | (~v90(constB65, bitIndex2)) | (~v90(constB65, bitIndex0))))),
% 7.30/5.26 inference(tautology,[status(thm)],[])).
% 7.30/5.26 tff(8504,plain,
% 7.30/5.26 (~v124(constB65)),
% 7.30/5.26 inference(unit_resolution,[status(thm)],[8503, 8502, 8482])).
% 7.30/5.26 tff(8505,plain,
% 7.30/5.26 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB65) <=> (~(v90(constB65, bitIndex1) | v90(constB65, bitIndex0) | (~v90(constB65, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB65) <=> (~(v90(constB65, bitIndex1) | v90(constB65, bitIndex0) | (~v90(constB65, bitIndex2))))))),
% 7.30/5.26 inference(rewrite,[status(thm)],[])).
% 7.30/5.26 tff(8506,plain,
% 7.30/5.26 ((v123(constB65) <=> (~(v90(constB65, bitIndex0) | v90(constB65, bitIndex1) | (~v90(constB65, bitIndex2))))) <=> (v123(constB65) <=> (~(v90(constB65, bitIndex1) | v90(constB65, bitIndex0) | (~v90(constB65, bitIndex2)))))),
% 7.30/5.26 inference(rewrite,[status(thm)],[])).
% 7.30/5.26 tff(8507,plain,
% 7.30/5.26 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB65) <=> (~(v90(constB65, bitIndex0) | v90(constB65, bitIndex1) | (~v90(constB65, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB65) <=> (~(v90(constB65, bitIndex1) | v90(constB65, bitIndex0) | (~v90(constB65, bitIndex2))))))),
% 7.30/5.26 inference(monotonicity,[status(thm)],[8506])).
% 7.30/5.26 tff(8508,plain,
% 7.30/5.26 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB65) <=> (~(v90(constB65, bitIndex0) | v90(constB65, bitIndex1) | (~v90(constB65, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB65) <=> (~(v90(constB65, bitIndex1) | v90(constB65, bitIndex0) | (~v90(constB65, bitIndex2))))))),
% 7.30/5.26 inference(transitivity,[status(thm)],[8507, 8505])).
% 7.30/5.26 tff(8509,plain,
% 7.30/5.26 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB65) <=> (~(v90(constB65, bitIndex0) | v90(constB65, bitIndex1) | (~v90(constB65, bitIndex2)))))),
% 7.30/5.26 inference(quant_inst,[status(thm)],[])).
% 7.30/5.26 tff(8510,plain,
% 7.30/5.26 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB65) <=> (~(v90(constB65, bitIndex1) | v90(constB65, bitIndex0) | (~v90(constB65, bitIndex2)))))),
% 7.30/5.26 inference(modus_ponens,[status(thm)],[8509, 8508])).
% 7.30/5.26 tff(8511,plain,
% 7.30/5.26 (v123(constB65) <=> (~(v90(constB65, bitIndex1) | v90(constB65, bitIndex0) | (~v90(constB65, bitIndex2))))),
% 7.30/5.26 inference(unit_resolution,[status(thm)],[8510, 800])).
% 7.30/5.26 tff(8512,plain,
% 7.30/5.26 ((v90(constB65, bitIndex1) | v90(constB65, bitIndex0) | (~v90(constB65, bitIndex2))) | (~v90(constB65, bitIndex1))),
% 7.30/5.26 inference(tautology,[status(thm)],[])).
% 7.30/5.26 tff(8513,plain,
% 7.30/5.26 (v90(constB65, bitIndex1) | v90(constB65, bitIndex0) | (~v90(constB65, bitIndex2))),
% 7.30/5.26 inference(unit_resolution,[status(thm)],[8512, 8500])).
% 7.30/5.26 tff(8514,plain,
% 7.30/5.26 ((~(v123(constB65) <=> (~(v90(constB65, bitIndex1) | v90(constB65, bitIndex0) | (~v90(constB65, bitIndex2)))))) | (~v123(constB65)) | (~(v90(constB65, bitIndex1) | v90(constB65, bitIndex0) | (~v90(constB65, bitIndex2))))),
% 7.30/5.26 inference(tautology,[status(thm)],[])).
% 7.30/5.26 tff(8515,plain,
% 7.30/5.26 (~v123(constB65)),
% 7.30/5.26 inference(unit_resolution,[status(thm)],[8514, 8513, 8511])).
% 7.30/5.26 tff(8516,plain,
% 7.30/5.26 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB65) <=> (~(v90(constB65, bitIndex2) | (~v90(constB65, bitIndex1)) | (~v90(constB65, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB65) <=> (~(v90(constB65, bitIndex2) | (~v90(constB65, bitIndex1)) | (~v90(constB65, bitIndex0))))))),
% 7.30/5.27 inference(rewrite,[status(thm)],[])).
% 7.30/5.27 tff(8517,plain,
% 7.30/5.27 ((v122(constB65) <=> (~(v90(constB65, bitIndex2) | (~v90(constB65, bitIndex0)) | (~v90(constB65, bitIndex1))))) <=> (v122(constB65) <=> (~(v90(constB65, bitIndex2) | (~v90(constB65, bitIndex1)) | (~v90(constB65, bitIndex0)))))),
% 7.30/5.27 inference(rewrite,[status(thm)],[])).
% 7.30/5.27 tff(8518,plain,
% 7.30/5.27 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB65) <=> (~(v90(constB65, bitIndex2) | (~v90(constB65, bitIndex0)) | (~v90(constB65, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB65) <=> (~(v90(constB65, bitIndex2) | (~v90(constB65, bitIndex1)) | (~v90(constB65, bitIndex0))))))),
% 7.30/5.27 inference(monotonicity,[status(thm)],[8517])).
% 7.30/5.27 tff(8519,plain,
% 7.30/5.27 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB65) <=> (~(v90(constB65, bitIndex2) | (~v90(constB65, bitIndex0)) | (~v90(constB65, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB65) <=> (~(v90(constB65, bitIndex2) | (~v90(constB65, bitIndex1)) | (~v90(constB65, bitIndex0))))))),
% 7.30/5.27 inference(transitivity,[status(thm)],[8518, 8516])).
% 7.30/5.27 tff(8520,plain,
% 7.30/5.27 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB65) <=> (~(v90(constB65, bitIndex2) | (~v90(constB65, bitIndex0)) | (~v90(constB65, bitIndex1)))))),
% 7.30/5.27 inference(quant_inst,[status(thm)],[])).
% 7.30/5.27 tff(8521,plain,
% 7.30/5.27 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB65) <=> (~(v90(constB65, bitIndex2) | (~v90(constB65, bitIndex1)) | (~v90(constB65, bitIndex0)))))),
% 7.30/5.27 inference(modus_ponens,[status(thm)],[8520, 8519])).
% 7.30/5.27 tff(8522,plain,
% 7.30/5.27 (v122(constB65) <=> (~(v90(constB65, bitIndex2) | (~v90(constB65, bitIndex1)) | (~v90(constB65, bitIndex0))))),
% 7.30/5.27 inference(unit_resolution,[status(thm)],[8521, 879])).
% 7.30/5.27 tff(8523,plain,
% 7.30/5.27 ((v90(constB65, bitIndex2) | (~v90(constB65, bitIndex1)) | (~v90(constB65, bitIndex0))) | (~v90(constB65, bitIndex2))),
% 7.30/5.27 inference(tautology,[status(thm)],[])).
% 7.30/5.27 tff(8524,plain,
% 7.30/5.27 (v90(constB65, bitIndex2) | (~v90(constB65, bitIndex1)) | (~v90(constB65, bitIndex0))),
% 7.30/5.27 inference(unit_resolution,[status(thm)],[8523, 8471])).
% 7.30/5.27 tff(8525,plain,
% 7.30/5.27 ((~(v122(constB65) <=> (~(v90(constB65, bitIndex2) | (~v90(constB65, bitIndex1)) | (~v90(constB65, bitIndex0)))))) | (~v122(constB65)) | (~(v90(constB65, bitIndex2) | (~v90(constB65, bitIndex1)) | (~v90(constB65, bitIndex0))))),
% 7.30/5.27 inference(tautology,[status(thm)],[])).
% 7.30/5.27 tff(8526,plain,
% 7.30/5.27 (~v122(constB65)),
% 7.30/5.27 inference(unit_resolution,[status(thm)],[8525, 8524, 8522])).
% 7.30/5.27 tff(8527,plain,
% 7.30/5.27 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB65) <=> (~(v90(constB65, bitIndex2) | v90(constB65, bitIndex0) | (~v90(constB65, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB65) <=> (~(v90(constB65, bitIndex2) | v90(constB65, bitIndex0) | (~v90(constB65, bitIndex1))))))),
% 7.30/5.27 inference(rewrite,[status(thm)],[])).
% 7.30/5.27 tff(8528,plain,
% 7.30/5.27 ((v121(constB65) <=> (~(v90(constB65, bitIndex0) | v90(constB65, bitIndex2) | (~v90(constB65, bitIndex1))))) <=> (v121(constB65) <=> (~(v90(constB65, bitIndex2) | v90(constB65, bitIndex0) | (~v90(constB65, bitIndex1)))))),
% 7.30/5.27 inference(rewrite,[status(thm)],[])).
% 7.30/5.27 tff(8529,plain,
% 7.30/5.27 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB65) <=> (~(v90(constB65, bitIndex0) | v90(constB65, bitIndex2) | (~v90(constB65, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB65) <=> (~(v90(constB65, bitIndex2) | v90(constB65, bitIndex0) | (~v90(constB65, bitIndex1))))))),
% 7.30/5.27 inference(monotonicity,[status(thm)],[8528])).
% 7.30/5.27 tff(8530,plain,
% 7.30/5.27 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB65) <=> (~(v90(constB65, bitIndex0) | v90(constB65, bitIndex2) | (~v90(constB65, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB65) <=> (~(v90(constB65, bitIndex2) | v90(constB65, bitIndex0) | (~v90(constB65, bitIndex1))))))),
% 7.30/5.27 inference(transitivity,[status(thm)],[8529, 8527])).
% 7.30/5.27 tff(8531,plain,
% 7.30/5.27 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB65) <=> (~(v90(constB65, bitIndex0) | v90(constB65, bitIndex2) | (~v90(constB65, bitIndex1)))))),
% 7.30/5.27 inference(quant_inst,[status(thm)],[])).
% 7.30/5.27 tff(8532,plain,
% 7.30/5.27 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB65) <=> (~(v90(constB65, bitIndex2) | v90(constB65, bitIndex0) | (~v90(constB65, bitIndex1)))))),
% 7.30/5.27 inference(modus_ponens,[status(thm)],[8531, 8530])).
% 7.30/5.27 tff(8533,plain,
% 7.30/5.27 (v121(constB65) <=> (~(v90(constB65, bitIndex2) | v90(constB65, bitIndex0) | (~v90(constB65, bitIndex1))))),
% 7.30/5.27 inference(unit_resolution,[status(thm)],[8532, 586])).
% 7.30/5.27 tff(8534,plain,
% 7.30/5.27 ((v90(constB65, bitIndex2) | v90(constB65, bitIndex0) | (~v90(constB65, bitIndex1))) | (~v90(constB65, bitIndex2))),
% 7.30/5.27 inference(tautology,[status(thm)],[])).
% 7.30/5.27 tff(8535,plain,
% 7.30/5.27 (v90(constB65, bitIndex2) | v90(constB65, bitIndex0) | (~v90(constB65, bitIndex1))),
% 7.30/5.27 inference(unit_resolution,[status(thm)],[8534, 8471])).
% 7.30/5.27 tff(8536,plain,
% 7.30/5.27 ((~(v121(constB65) <=> (~(v90(constB65, bitIndex2) | v90(constB65, bitIndex0) | (~v90(constB65, bitIndex1)))))) | (~v121(constB65)) | (~(v90(constB65, bitIndex2) | v90(constB65, bitIndex0) | (~v90(constB65, bitIndex1))))),
% 7.30/5.27 inference(tautology,[status(thm)],[])).
% 7.30/5.27 tff(8537,plain,
% 7.30/5.27 (~v121(constB65)),
% 7.30/5.27 inference(unit_resolution,[status(thm)],[8536, 8535, 8533])).
% 7.30/5.27 tff(8538,plain,
% 7.30/5.27 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB65) <=> (~(v90(constB65, bitIndex1) | v90(constB65, bitIndex2) | (~v90(constB65, bitIndex0)))))),
% 7.30/5.27 inference(quant_inst,[status(thm)],[])).
% 7.30/5.27 tff(8539,plain,
% 7.30/5.27 (v120(constB65) <=> (~(v90(constB65, bitIndex1) | v90(constB65, bitIndex2) | (~v90(constB65, bitIndex0))))),
% 7.30/5.27 inference(unit_resolution,[status(thm)],[8538, 665])).
% 7.30/5.27 tff(8540,plain,
% 7.30/5.27 ((v90(constB65, bitIndex1) | v90(constB65, bitIndex2) | (~v90(constB65, bitIndex0))) | (~v90(constB65, bitIndex2))),
% 7.30/5.27 inference(tautology,[status(thm)],[])).
% 7.30/5.27 tff(8541,plain,
% 7.30/5.27 (v90(constB65, bitIndex1) | v90(constB65, bitIndex2) | (~v90(constB65, bitIndex0))),
% 7.30/5.27 inference(unit_resolution,[status(thm)],[8540, 8471])).
% 7.30/5.27 tff(8542,plain,
% 7.30/5.27 ((~(v120(constB65) <=> (~(v90(constB65, bitIndex1) | v90(constB65, bitIndex2) | (~v90(constB65, bitIndex0)))))) | (~v120(constB65)) | (~(v90(constB65, bitIndex1) | v90(constB65, bitIndex2) | (~v90(constB65, bitIndex0))))),
% 7.30/5.27 inference(tautology,[status(thm)],[])).
% 7.30/5.27 tff(8543,plain,
% 7.30/5.27 (~v120(constB65)),
% 7.30/5.27 inference(unit_resolution,[status(thm)],[8542, 8541, 8539])).
% 7.30/5.27 tff(8544,plain,
% 7.30/5.27 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v119(constB65) | v120(constB65) | v121(constB65) | v122(constB65) | v123(constB65) | v124(constB65) | (~(v130(constB65, bitIndex2) | v130(constB65, bitIndex1) | (~v130(constB65, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | v119(constB65) | v120(constB65) | v121(constB65) | v122(constB65) | v123(constB65) | v124(constB65) | (~(v130(constB65, bitIndex2) | v130(constB65, bitIndex1) | (~v130(constB65, bitIndex0)))))),
% 7.30/5.27 inference(rewrite,[status(thm)],[])).
% 7.30/5.27 tff(8545,plain,
% 7.30/5.27 ((v124(constB65) | v123(constB65) | v122(constB65) | v121(constB65) | v120(constB65) | v119(constB65) | (~(v130(constB65, bitIndex2) | v130(constB65, bitIndex1) | (~v130(constB65, bitIndex0))))) <=> (v119(constB65) | v120(constB65) | v121(constB65) | v122(constB65) | v123(constB65) | v124(constB65) | (~(v130(constB65, bitIndex2) | v130(constB65, bitIndex1) | (~v130(constB65, bitIndex0)))))),
% 7.30/5.27 inference(rewrite,[status(thm)],[])).
% 7.30/5.27 tff(8546,plain,
% 7.30/5.27 ((~(v130(constB65, bitIndex1) | v130(constB65, bitIndex2) | (~v130(constB65, bitIndex0)))) <=> (~(v130(constB65, bitIndex2) | v130(constB65, bitIndex1) | (~v130(constB65, bitIndex0))))),
% 7.30/5.27 inference(rewrite,[status(thm)],[])).
% 7.30/5.27 tff(8547,plain,
% 7.30/5.27 ((v124(constB65) | v123(constB65) | v122(constB65) | v121(constB65) | v120(constB65) | v119(constB65) | (~(v130(constB65, bitIndex1) | v130(constB65, bitIndex2) | (~v130(constB65, bitIndex0))))) <=> (v124(constB65) | v123(constB65) | v122(constB65) | v121(constB65) | v120(constB65) | v119(constB65) | (~(v130(constB65, bitIndex2) | v130(constB65, bitIndex1) | (~v130(constB65, bitIndex0)))))),
% 7.30/5.27 inference(monotonicity,[status(thm)],[8546])).
% 7.30/5.27 tff(8548,plain,
% 7.30/5.27 ((v124(constB65) | v123(constB65) | v122(constB65) | v121(constB65) | v120(constB65) | v119(constB65) | (~(v130(constB65, bitIndex1) | v130(constB65, bitIndex2) | (~v130(constB65, bitIndex0))))) <=> (v119(constB65) | v120(constB65) | v121(constB65) | v122(constB65) | v123(constB65) | v124(constB65) | (~(v130(constB65, bitIndex2) | v130(constB65, bitIndex1) | (~v130(constB65, bitIndex0)))))),
% 7.30/5.27 inference(transitivity,[status(thm)],[8547, 8545])).
% 7.30/5.27 tff(8549,plain,
% 7.30/5.27 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB65) | v123(constB65) | v122(constB65) | v121(constB65) | v120(constB65) | v119(constB65) | (~(v130(constB65, bitIndex1) | v130(constB65, bitIndex2) | (~v130(constB65, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v119(constB65) | v120(constB65) | v121(constB65) | v122(constB65) | v123(constB65) | v124(constB65) | (~(v130(constB65, bitIndex2) | v130(constB65, bitIndex1) | (~v130(constB65, bitIndex0))))))),
% 7.30/5.27 inference(monotonicity,[status(thm)],[8548])).
% 7.30/5.27 tff(8550,plain,
% 7.30/5.27 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB65) | v123(constB65) | v122(constB65) | v121(constB65) | v120(constB65) | v119(constB65) | (~(v130(constB65, bitIndex1) | v130(constB65, bitIndex2) | (~v130(constB65, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | v119(constB65) | v120(constB65) | v121(constB65) | v122(constB65) | v123(constB65) | v124(constB65) | (~(v130(constB65, bitIndex2) | v130(constB65, bitIndex1) | (~v130(constB65, bitIndex0)))))),
% 7.30/5.27 inference(transitivity,[status(thm)],[8549, 8544])).
% 7.30/5.27 tff(8551,plain,
% 7.30/5.27 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB65) | v123(constB65) | v122(constB65) | v121(constB65) | v120(constB65) | v119(constB65) | (~(v130(constB65, bitIndex1) | v130(constB65, bitIndex2) | (~v130(constB65, bitIndex0)))))),
% 7.30/5.27 inference(quant_inst,[status(thm)],[])).
% 7.30/5.27 tff(8552,plain,
% 7.30/5.27 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | v119(constB65) | v120(constB65) | v121(constB65) | v122(constB65) | v123(constB65) | v124(constB65) | (~(v130(constB65, bitIndex2) | v130(constB65, bitIndex1) | (~v130(constB65, bitIndex0))))),
% 7.30/5.27 inference(modus_ponens,[status(thm)],[8551, 8550])).
% 7.30/5.27 tff(8553,plain,
% 7.30/5.27 (v119(constB65) | v120(constB65) | v121(constB65) | v122(constB65) | v123(constB65) | v124(constB65) | (~(v130(constB65, bitIndex2) | v130(constB65, bitIndex1) | (~v130(constB65, bitIndex0))))),
% 7.30/5.27 inference(unit_resolution,[status(thm)],[8552, 3694])).
% 7.30/5.27 tff(8554,plain,
% 7.30/5.27 (~(v130(constB65, bitIndex2) | v130(constB65, bitIndex1) | (~v130(constB65, bitIndex0)))),
% 7.30/5.27 inference(unit_resolution,[status(thm)],[8553, 8543, 8537, 8526, 8515, 8504, 8475])).
% 7.30/5.27 tff(8555,plain,
% 7.30/5.27 ((v130(constB65, bitIndex2) | v130(constB65, bitIndex1) | (~v130(constB65, bitIndex0))) | (~v130(constB65, bitIndex2))),
% 7.30/5.27 inference(tautology,[status(thm)],[])).
% 7.30/5.27 tff(8556,plain,
% 7.30/5.27 (~v130(constB65, bitIndex2)),
% 7.30/5.27 inference(unit_resolution,[status(thm)],[8555, 8554])).
% 7.30/5.27 tff(8557,plain,
% 7.30/5.27 (((~v127(constB65, bitIndex2)) <=> v130(constB65, bitIndex2)) | (~v127(constB65, bitIndex2)) | v130(constB65, bitIndex2)),
% 7.30/5.27 inference(tautology,[status(thm)],[])).
% 7.30/5.27 tff(8558,plain,
% 7.30/5.27 (~v127(constB65, bitIndex2)),
% 7.30/5.27 inference(unit_resolution,[status(thm)],[8557, 8556, 1072])).
% 7.30/5.27 tff(8559,plain,
% 7.30/5.27 (((~v129(constB66, bitIndex2)) <=> v127(constB65, bitIndex2)) | (~v129(constB66, bitIndex2)) | v127(constB65, bitIndex2)),
% 7.30/5.27 inference(tautology,[status(thm)],[])).
% 7.30/5.27 tff(8560,plain,
% 7.30/5.27 (~v129(constB66, bitIndex2)),
% 7.30/5.27 inference(unit_resolution,[status(thm)],[8559, 8558, 1058])).
% 7.30/5.27 tff(8561,plain,
% 7.30/5.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB65, constB66)) | (v100(constB66) <=> (~((~v101(constB66)) | (~v110(constB66))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB65, constB66)) | (v100(constB66) <=> (~((~v101(constB66)) | (~v110(constB66))))))),
% 7.30/5.27 inference(rewrite,[status(thm)],[])).
% 7.30/5.27 tff(8562,plain,
% 7.30/5.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB65, constB66)) | (v100(constB66) <=> (~((~v101(constB66)) | (~v110(constB66))))))),
% 7.30/5.27 inference(quant_inst,[status(thm)],[])).
% 7.30/5.27 tff(8563,plain,
% 7.30/5.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB65, constB66)) | (v100(constB66) <=> (~((~v101(constB66)) | (~v110(constB66)))))),
% 7.30/5.27 inference(modus_ponens,[status(thm)],[8562, 8561])).
% 7.30/5.27 tff(8564,plain,
% 7.30/5.27 (v100(constB66) <=> (~((~v101(constB66)) | (~v110(constB66))))),
% 7.30/5.27 inference(unit_resolution,[status(thm)],[8563, 1052, 445])).
% 7.30/5.27 tff(8565,plain,
% 7.30/5.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB65, constB66)) | (v101(constB66) <=> (~((~v1(constB66)) | (~v102(constB66))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB65, constB66)) | (v101(constB66) <=> (~((~v1(constB66)) | (~v102(constB66))))))),
% 7.30/5.27 inference(rewrite,[status(thm)],[])).
% 7.30/5.27 tff(8566,plain,
% 7.30/5.27 (((~nextState(constB65, constB66)) | (v101(constB66) <=> (~((~v102(constB66)) | (~v1(constB66)))))) <=> ((~nextState(constB65, constB66)) | (v101(constB66) <=> (~((~v1(constB66)) | (~v102(constB66))))))),
% 7.30/5.27 inference(rewrite,[status(thm)],[])).
% 7.30/5.27 tff(8567,plain,
% 7.30/5.27 (((~![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) <=> (~((~v1(constB66)) | (~v102(constB66)))))))),
% 7.30/5.27 inference(monotonicity,[status(thm)],[8566])).
% 7.30/5.27 tff(8568,plain,
% 7.30/5.27 (((~![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) <=> (~((~v1(constB66)) | (~v102(constB66))))))),
% 7.30/5.27 inference(transitivity,[status(thm)],[8567, 8565])).
% 7.30/5.27 tff(8569,plain,
% 7.30/5.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB65, constB66)) | (v101(constB66) <=> (~((~v102(constB66)) | (~v1(constB66))))))),
% 7.30/5.27 inference(quant_inst,[status(thm)],[])).
% 7.30/5.27 tff(8570,plain,
% 7.30/5.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB65, constB66)) | (v101(constB66) <=> (~((~v1(constB66)) | (~v102(constB66)))))),
% 7.30/5.27 inference(modus_ponens,[status(thm)],[8569, 8568])).
% 7.30/5.27 tff(8571,plain,
% 7.30/5.27 (v101(constB66) <=> (~((~v1(constB66)) | (~v102(constB66))))),
% 7.30/5.27 inference(unit_resolution,[status(thm)],[8570, 1052, 465])).
% 7.30/5.27 tff(8572,plain,
% 7.30/5.27 (((~![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)))),
% 7.30/5.27 inference(rewrite,[status(thm)],[])).
% 7.30/5.27 tff(8573,plain,
% 7.30/5.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB65, constB66)) | ((~v102(constB66)) <=> v104(constB66)))),
% 7.30/5.27 inference(quant_inst,[status(thm)],[])).
% 7.30/5.27 tff(8574,plain,
% 7.30/5.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB65, constB66)) | ((~v102(constB66)) <=> v104(constB66))),
% 7.30/5.27 inference(modus_ponens,[status(thm)],[8573, 8572])).
% 7.30/5.27 tff(8575,plain,
% 7.30/5.27 ((~v102(constB66)) <=> v104(constB66)),
% 7.30/5.27 inference(unit_resolution,[status(thm)],[8574, 1052, 3244])).
% 7.30/5.27 tff(8576,plain,
% 7.30/5.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB65, constB66)) | (v104(constB66) <=> v1(constB65)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB65, constB66)) | (v104(constB66) <=> v1(constB65)))),
% 7.30/5.27 inference(rewrite,[status(thm)],[])).
% 7.30/5.27 tff(8577,plain,
% 7.30/5.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB65, constB66)) | (v104(constB66) <=> v1(constB65)))),
% 7.30/5.27 inference(quant_inst,[status(thm)],[])).
% 7.30/5.27 tff(8578,plain,
% 7.30/5.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB65, constB66)) | (v104(constB66) <=> v1(constB65))),
% 7.30/5.27 inference(modus_ponens,[status(thm)],[8577, 8576])).
% 7.30/5.27 tff(8579,plain,
% 7.30/5.27 (v104(constB66) <=> v1(constB65)),
% 7.30/5.27 inference(unit_resolution,[status(thm)],[8578, 1052, 3258])).
% 7.30/5.27 tff(8580,plain,
% 7.30/5.27 ((~(v104(constB66) <=> v1(constB65))) | (~v104(constB66)) | v1(constB65)),
% 7.30/5.27 inference(tautology,[status(thm)],[])).
% 7.30/5.27 tff(8581,plain,
% 7.30/5.27 ((~(v104(constB66) <=> v1(constB65))) | (~v104(constB66))),
% 7.30/5.27 inference(unit_resolution,[status(thm)],[8580, 1104])).
% 7.30/5.27 tff(8582,plain,
% 7.30/5.27 (~v104(constB66)),
% 7.30/5.27 inference(unit_resolution,[status(thm)],[8581, 8579])).
% 7.30/5.27 tff(8583,plain,
% 7.30/5.27 ((~((~v102(constB66)) <=> v104(constB66))) | v102(constB66) | v104(constB66)),
% 7.30/5.27 inference(tautology,[status(thm)],[])).
% 7.30/5.27 tff(8584,plain,
% 7.30/5.27 (v102(constB66)),
% 7.30/5.27 inference(unit_resolution,[status(thm)],[8583, 8582, 8575])).
% 7.30/5.27 tff(8585,plain,
% 7.30/5.27 (v1(constB66) <=> v1(constB66)),
% 7.30/5.27 inference(rewrite,[status(thm)],[])).
% 7.30/5.27 tff(8586,axiom,(v1(constB66)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_66')).
% 7.30/5.27 tff(8587,plain,
% 7.30/5.27 (v1(constB66)),
% 7.30/5.27 inference(modus_ponens,[status(thm)],[8586, 8585])).
% 7.30/5.27 tff(8588,plain,
% 7.30/5.27 ((~((~v1(constB66)) | (~v102(constB66)))) | (~v1(constB66)) | (~v102(constB66))),
% 7.30/5.27 inference(tautology,[status(thm)],[])).
% 7.30/5.27 tff(8589,plain,
% 7.30/5.27 ((~((~v1(constB66)) | (~v102(constB66)))) | (~v102(constB66))),
% 7.30/5.27 inference(unit_resolution,[status(thm)],[8588, 8587])).
% 7.30/5.27 tff(8590,plain,
% 7.30/5.27 (~((~v1(constB66)) | (~v102(constB66)))),
% 7.30/5.27 inference(unit_resolution,[status(thm)],[8589, 8584])).
% 7.30/5.27 tff(8591,plain,
% 7.30/5.27 ((~(v101(constB66) <=> (~((~v1(constB66)) | (~v102(constB66)))))) | v101(constB66) | ((~v1(constB66)) | (~v102(constB66)))),
% 7.30/5.27 inference(tautology,[status(thm)],[])).
% 7.30/5.27 tff(8592,plain,
% 7.30/5.27 (v101(constB66)),
% 7.30/5.27 inference(unit_resolution,[status(thm)],[8591, 8590, 8571])).
% 7.30/5.27 tff(8593,plain,
% 7.30/5.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB65, constB66)) | (v110(constB66) <=> v108(constB65)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB65, constB66)) | (v110(constB66) <=> v108(constB65)))),
% 7.30/5.27 inference(rewrite,[status(thm)],[])).
% 7.30/5.27 tff(8594,plain,
% 7.30/5.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB65, constB66)) | (v110(constB66) <=> v108(constB65)))),
% 7.30/5.27 inference(quant_inst,[status(thm)],[])).
% 7.30/5.27 tff(8595,plain,
% 7.30/5.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB65, constB66)) | (v110(constB66) <=> v108(constB65))),
% 7.30/5.27 inference(modus_ponens,[status(thm)],[8594, 8593])).
% 7.30/5.27 tff(8596,plain,
% 7.30/5.27 (v110(constB66) <=> v108(constB65)),
% 7.30/5.27 inference(unit_resolution,[status(thm)],[8595, 1052, 3285])).
% 7.30/5.27 tff(8597,plain,
% 7.30/5.27 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB65) <=> (v111(constB65) | v112(constB65)))),
% 7.30/5.27 inference(quant_inst,[status(thm)],[])).
% 7.30/5.27 tff(8598,plain,
% 7.30/5.27 (v108(constB65) <=> (v111(constB65) | v112(constB65))),
% 7.30/5.27 inference(unit_resolution,[status(thm)],[8597, 3296])).
% 7.30/5.27 tff(8599,plain,
% 7.30/5.27 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB65) <=> (~((~v113(constB65)) | (~v126(constB65)))))),
% 7.30/5.27 inference(quant_inst,[status(thm)],[])).
% 7.30/5.27 tff(8600,plain,
% 7.30/5.27 (v112(constB65) <=> (~((~v113(constB65)) | (~v126(constB65))))),
% 7.30/5.27 inference(unit_resolution,[status(thm)],[8599, 3308])).
% 7.30/5.27 tff(8601,plain,
% 7.30/5.27 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB65) <=> (v114(constB65) | v125(constB65)))),
% 7.30/5.27 inference(quant_inst,[status(thm)],[])).
% 7.30/5.27 tff(8602,plain,
% 7.30/5.27 (v113(constB65) <=> (v114(constB65) | v125(constB65))),
% 7.30/5.27 inference(unit_resolution,[status(thm)],[8601, 3317])).
% 7.30/5.27 tff(8603,plain,
% 7.30/5.27 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB65) <=> (~(v90(constB65, bitIndex0) | (~v90(constB65, bitIndex1)) | (~v90(constB65, bitIndex2)))))),
% 7.30/5.27 inference(quant_inst,[status(thm)],[])).
% 7.30/5.27 tff(8604,plain,
% 7.30/5.27 (v125(constB65) <=> (~(v90(constB65, bitIndex0) | (~v90(constB65, bitIndex1)) | (~v90(constB65, bitIndex2))))),
% 7.30/5.27 inference(unit_resolution,[status(thm)],[8603, 3766])).
% 7.30/5.27 tff(8605,plain,
% 7.30/5.27 ((((~v90(constB65, bitIndex1)) <=> v90(constB64, bitIndex1)) | ((~v90(constB65, bitIndex2)) <=> v90(constB64, bitIndex2)) | ((~v90(constB65, bitIndex0)) <=> v90(constB64, bitIndex0))) | (~((~v90(constB65, bitIndex0)) <=> v90(constB64, bitIndex0)))),
% 7.30/5.27 inference(tautology,[status(thm)],[])).
% 7.30/5.27 tff(8606,plain,
% 7.30/5.27 (~((~v90(constB65, bitIndex0)) <=> v90(constB64, bitIndex0))),
% 7.30/5.27 inference(unit_resolution,[status(thm)],[8605, 1121])).
% 7.30/5.27 tff(8607,plain,
% 7.30/5.27 ((((~v129(constB64, bitIndex2)) <=> v127(constB63, bitIndex2)) | ((~v129(constB64, bitIndex1)) <=> v127(constB63, bitIndex1)) | ((~v129(constB64, bitIndex0)) <=> v127(constB63, bitIndex0))) | (~((~v129(constB64, bitIndex0)) <=> v127(constB63, bitIndex0)))),
% 7.30/5.27 inference(tautology,[status(thm)],[])).
% 7.30/5.27 tff(8608,plain,
% 7.30/5.27 (~((~v129(constB64, bitIndex0)) <=> v127(constB63, bitIndex0))),
% 7.30/5.27 inference(unit_resolution,[status(thm)],[8607, 1130])).
% 7.30/5.27 tff(8609,plain,
% 7.30/5.27 ((((~v127(constB63, bitIndex2)) <=> v130(constB63, bitIndex2)) | ((~v127(constB63, bitIndex1)) <=> v130(constB63, bitIndex1)) | ((~v127(constB63, bitIndex0)) <=> v130(constB63, bitIndex0))) | (~((~v127(constB63, bitIndex0)) <=> v130(constB63, bitIndex0)))),
% 7.30/5.27 inference(tautology,[status(thm)],[])).
% 7.30/5.27 tff(8610,plain,
% 7.30/5.27 (~((~v127(constB63, bitIndex0)) <=> v130(constB63, bitIndex0))),
% 7.30/5.27 inference(unit_resolution,[status(thm)],[8609, 1144])).
% 7.30/5.27 tff(8611,plain,
% 7.30/5.27 ((v130(constB63, bitIndex0) | (~v130(constB63, bitIndex2)) | (~v130(constB63, bitIndex1))) | (~v130(constB63, bitIndex0))),
% 7.30/5.27 inference(tautology,[status(thm)],[])).
% 7.30/5.27 tff(8612,plain,
% 7.30/5.27 (~v130(constB63, bitIndex0)),
% 7.30/5.27 inference(unit_resolution,[status(thm)],[8611, 8376])).
% 7.30/5.27 tff(8613,plain,
% 7.30/5.27 (((~v127(constB63, bitIndex0)) <=> v130(constB63, bitIndex0)) | (~v127(constB63, bitIndex0)) | v130(constB63, bitIndex0)),
% 7.30/5.27 inference(tautology,[status(thm)],[])).
% 7.30/5.27 tff(8614,plain,
% 7.30/5.27 (~v127(constB63, bitIndex0)),
% 7.30/5.27 inference(unit_resolution,[status(thm)],[8613, 8612, 8610])).
% 7.30/5.27 tff(8615,plain,
% 7.30/5.27 (((~v129(constB64, bitIndex0)) <=> v127(constB63, bitIndex0)) | (~v129(constB64, bitIndex0)) | v127(constB63, bitIndex0)),
% 7.30/5.27 inference(tautology,[status(thm)],[])).
% 7.30/5.27 tff(8616,plain,
% 7.30/5.27 (~v129(constB64, bitIndex0)),
% 7.30/5.27 inference(unit_resolution,[status(thm)],[8615, 8614, 8608])).
% 7.30/5.27 tff(8617,plain,
% 7.30/5.27 ((((~v90(constB64, bitIndex2)) <=> v129(constB64, bitIndex2)) | ((~v90(constB64, bitIndex1)) <=> v129(constB64, bitIndex1)) | ((~v90(constB64, bitIndex0)) <=> v129(constB64, bitIndex0))) | (~((~v90(constB64, bitIndex0)) <=> v129(constB64, bitIndex0)))),
% 7.30/5.27 inference(tautology,[status(thm)],[])).
% 7.30/5.27 tff(8618,plain,
% 7.30/5.27 (~((~v90(constB64, bitIndex0)) <=> v129(constB64, bitIndex0))),
% 7.30/5.27 inference(unit_resolution,[status(thm)],[8617, 8465])).
% 7.30/5.27 tff(8619,plain,
% 7.30/5.27 (((~v90(constB64, bitIndex0)) <=> v129(constB64, bitIndex0)) | (~v90(constB64, bitIndex0)) | v129(constB64, bitIndex0)),
% 7.30/5.27 inference(tautology,[status(thm)],[])).
% 7.30/5.27 tff(8620,plain,
% 7.30/5.27 (~v90(constB64, bitIndex0)),
% 7.30/5.27 inference(unit_resolution,[status(thm)],[8619, 8618, 8616])).
% 7.30/5.27 tff(8621,plain,
% 7.30/5.27 (((~v90(constB65, bitIndex0)) <=> v90(constB64, bitIndex0)) | (~v90(constB65, bitIndex0)) | v90(constB64, bitIndex0)),
% 7.30/5.27 inference(tautology,[status(thm)],[])).
% 7.30/5.27 tff(8622,plain,
% 7.30/5.27 (~v90(constB65, bitIndex0)),
% 7.30/5.27 inference(unit_resolution,[status(thm)],[8621, 8620, 8606])).
% 7.30/5.27 tff(8623,plain,
% 7.30/5.27 ((~(v90(constB65, bitIndex0) | (~v90(constB65, bitIndex1)) | (~v90(constB65, bitIndex2)))) | v90(constB65, bitIndex0) | (~v90(constB65, bitIndex1)) | (~v90(constB65, bitIndex2))),
% 7.30/5.27 inference(tautology,[status(thm)],[])).
% 7.30/5.27 tff(8624,plain,
% 7.30/5.27 (~(v90(constB65, bitIndex0) | (~v90(constB65, bitIndex1)) | (~v90(constB65, bitIndex2)))),
% 7.30/5.27 inference(unit_resolution,[status(thm)],[8623, 8500, 8622, 8471])).
% 7.30/5.27 tff(8625,plain,
% 7.30/5.27 ((~(v125(constB65) <=> (~(v90(constB65, bitIndex0) | (~v90(constB65, bitIndex1)) | (~v90(constB65, bitIndex2)))))) | v125(constB65) | (v90(constB65, bitIndex0) | (~v90(constB65, bitIndex1)) | (~v90(constB65, bitIndex2)))),
% 7.30/5.27 inference(tautology,[status(thm)],[])).
% 7.30/5.27 tff(8626,plain,
% 7.30/5.27 (v125(constB65)),
% 7.30/5.27 inference(unit_resolution,[status(thm)],[8625, 8624, 8604])).
% 7.30/5.27 tff(8627,plain,
% 7.30/5.27 ((v114(constB65) | v125(constB65)) | (~v125(constB65))),
% 7.30/5.27 inference(tautology,[status(thm)],[])).
% 7.30/5.27 tff(8628,plain,
% 7.30/5.27 (v114(constB65) | v125(constB65)),
% 7.30/5.27 inference(unit_resolution,[status(thm)],[8627, 8626])).
% 7.30/5.27 tff(8629,plain,
% 7.30/5.27 ((~(v113(constB65) <=> (v114(constB65) | v125(constB65)))) | v113(constB65) | (~(v114(constB65) | v125(constB65)))),
% 7.30/5.27 inference(tautology,[status(thm)],[])).
% 7.30/5.27 tff(8630,plain,
% 7.30/5.27 (v113(constB65)),
% 7.30/5.27 inference(unit_resolution,[status(thm)],[8629, 8628, 8602])).
% 7.30/5.27 tff(8631,plain,
% 7.30/5.27 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB65)) <=> v111(constB65))),
% 7.30/5.27 inference(quant_inst,[status(thm)],[])).
% 7.30/5.27 tff(8632,plain,
% 7.30/5.27 ((~v126(constB65)) <=> v111(constB65)),
% 7.30/5.27 inference(unit_resolution,[status(thm)],[8631, 3396])).
% 7.30/5.27 tff(8633,plain,
% 7.30/5.27 ((~((~v126(constB65)) <=> v111(constB65))) | v126(constB65) | v111(constB65)),
% 7.30/5.27 inference(tautology,[status(thm)],[])).
% 7.30/5.27 tff(8634,plain,
% 7.30/5.27 ((~((~v126(constB65)) <=> v111(constB65))) | v126(constB65)),
% 7.30/5.27 inference(unit_resolution,[status(thm)],[8633, 1065])).
% 7.30/5.27 tff(8635,plain,
% 7.30/5.27 (v126(constB65)),
% 7.30/5.27 inference(unit_resolution,[status(thm)],[8634, 8632])).
% 7.30/5.27 tff(8636,plain,
% 7.30/5.27 ((~((~v113(constB65)) | (~v126(constB65)))) | (~v113(constB65)) | (~v126(constB65))),
% 7.30/5.27 inference(tautology,[status(thm)],[])).
% 7.30/5.27 tff(8637,plain,
% 7.30/5.27 ((~((~v113(constB65)) | (~v126(constB65)))) | (~v113(constB65))),
% 7.30/5.27 inference(unit_resolution,[status(thm)],[8636, 8635])).
% 7.30/5.27 tff(8638,plain,
% 7.30/5.27 (~((~v113(constB65)) | (~v126(constB65)))),
% 7.30/5.27 inference(unit_resolution,[status(thm)],[8637, 8630])).
% 7.30/5.27 tff(8639,plain,
% 7.30/5.27 ((~(v112(constB65) <=> (~((~v113(constB65)) | (~v126(constB65)))))) | v112(constB65) | ((~v113(constB65)) | (~v126(constB65)))),
% 7.30/5.27 inference(tautology,[status(thm)],[])).
% 7.30/5.27 tff(8640,plain,
% 7.30/5.27 (v112(constB65)),
% 7.30/5.27 inference(unit_resolution,[status(thm)],[8639, 8638, 8600])).
% 7.30/5.27 tff(8641,plain,
% 7.30/5.27 ((v111(constB65) | v112(constB65)) | (~v112(constB65))),
% 7.30/5.27 inference(tautology,[status(thm)],[])).
% 7.30/5.27 tff(8642,plain,
% 7.30/5.27 (v111(constB65) | v112(constB65)),
% 7.30/5.27 inference(unit_resolution,[status(thm)],[8641, 8640])).
% 7.30/5.27 tff(8643,plain,
% 7.30/5.27 ((~(v108(constB65) <=> (v111(constB65) | v112(constB65)))) | v108(constB65) | (~(v111(constB65) | v112(constB65)))),
% 7.30/5.27 inference(tautology,[status(thm)],[])).
% 7.30/5.27 tff(8644,plain,
% 7.30/5.27 (v108(constB65)),
% 7.30/5.27 inference(unit_resolution,[status(thm)],[8643, 8642, 8598])).
% 7.30/5.27 tff(8645,plain,
% 7.30/5.27 ((~(v110(constB66) <=> v108(constB65))) | v110(constB66) | (~v108(constB65))),
% 7.30/5.27 inference(tautology,[status(thm)],[])).
% 7.30/5.27 tff(8646,plain,
% 7.30/5.27 (v110(constB66)),
% 7.30/5.27 inference(unit_resolution,[status(thm)],[8645, 8644, 8596])).
% 7.30/5.27 tff(8647,plain,
% 7.30/5.27 ((~((~v101(constB66)) | (~v110(constB66)))) | (~v101(constB66)) | (~v110(constB66))),
% 7.30/5.27 inference(tautology,[status(thm)],[])).
% 7.30/5.27 tff(8648,plain,
% 7.30/5.27 (~((~v101(constB66)) | (~v110(constB66)))),
% 7.30/5.27 inference(unit_resolution,[status(thm)],[8647, 8646, 8592])).
% 7.30/5.27 tff(8649,plain,
% 7.30/5.27 ((~(v100(constB66) <=> (~((~v101(constB66)) | (~v110(constB66)))))) | v100(constB66) | ((~v101(constB66)) | (~v110(constB66)))),
% 7.30/5.27 inference(tautology,[status(thm)],[])).
% 7.30/5.27 tff(8650,plain,
% 7.30/5.27 (v100(constB66)),
% 7.30/5.27 inference(unit_resolution,[status(thm)],[8649, 8648, 8564])).
% 7.30/5.27 tff(8651,plain,
% 7.30/5.27 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB66)) | (~(((~v90(constB66, bitIndex0)) <=> v129(constB66, bitIndex0)) | ((~v90(constB66, bitIndex2)) <=> v129(constB66, bitIndex2)) | ((~v90(constB66, bitIndex1)) <=> v129(constB66, bitIndex1)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB66)) | (~(((~v90(constB66, bitIndex0)) <=> v129(constB66, bitIndex0)) | ((~v90(constB66, bitIndex2)) <=> v129(constB66, bitIndex2)) | ((~v90(constB66, bitIndex1)) <=> v129(constB66, bitIndex1)))))),
% 7.30/5.28 inference(rewrite,[status(thm)],[])).
% 7.30/5.28 tff(8652,plain,
% 7.30/5.28 (((~v100(constB66)) | (~(((~v90(constB66, bitIndex2)) <=> v129(constB66, bitIndex2)) | ((~v90(constB66, bitIndex1)) <=> v129(constB66, bitIndex1)) | ((~v90(constB66, bitIndex0)) <=> v129(constB66, bitIndex0))))) <=> ((~v100(constB66)) | (~(((~v90(constB66, bitIndex0)) <=> v129(constB66, bitIndex0)) | ((~v90(constB66, bitIndex2)) <=> v129(constB66, bitIndex2)) | ((~v90(constB66, bitIndex1)) <=> v129(constB66, bitIndex1)))))),
% 7.30/5.28 inference(rewrite,[status(thm)],[])).
% 7.30/5.28 tff(8653,plain,
% 7.30/5.28 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB66)) | (~(((~v90(constB66, bitIndex2)) <=> v129(constB66, bitIndex2)) | ((~v90(constB66, bitIndex1)) <=> v129(constB66, bitIndex1)) | ((~v90(constB66, bitIndex0)) <=> v129(constB66, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB66)) | (~(((~v90(constB66, bitIndex0)) <=> v129(constB66, bitIndex0)) | ((~v90(constB66, bitIndex2)) <=> v129(constB66, bitIndex2)) | ((~v90(constB66, bitIndex1)) <=> v129(constB66, bitIndex1))))))),
% 7.30/5.28 inference(monotonicity,[status(thm)],[8652])).
% 7.30/5.28 tff(8654,plain,
% 7.30/5.28 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB66)) | (~(((~v90(constB66, bitIndex2)) <=> v129(constB66, bitIndex2)) | ((~v90(constB66, bitIndex1)) <=> v129(constB66, bitIndex1)) | ((~v90(constB66, bitIndex0)) <=> v129(constB66, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB66)) | (~(((~v90(constB66, bitIndex0)) <=> v129(constB66, bitIndex0)) | ((~v90(constB66, bitIndex2)) <=> v129(constB66, bitIndex2)) | ((~v90(constB66, bitIndex1)) <=> v129(constB66, bitIndex1)))))),
% 7.30/5.28 inference(transitivity,[status(thm)],[8653, 8651])).
% 7.30/5.28 tff(8655,plain,
% 7.30/5.28 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB66)) | (~(((~v90(constB66, bitIndex2)) <=> v129(constB66, bitIndex2)) | ((~v90(constB66, bitIndex1)) <=> v129(constB66, bitIndex1)) | ((~v90(constB66, bitIndex0)) <=> v129(constB66, bitIndex0)))))),
% 7.30/5.28 inference(quant_inst,[status(thm)],[])).
% 7.30/5.28 tff(8656,plain,
% 7.30/5.28 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB66)) | (~(((~v90(constB66, bitIndex0)) <=> v129(constB66, bitIndex0)) | ((~v90(constB66, bitIndex2)) <=> v129(constB66, bitIndex2)) | ((~v90(constB66, bitIndex1)) <=> v129(constB66, bitIndex1))))),
% 7.30/5.28 inference(modus_ponens,[status(thm)],[8655, 8654])).
% 7.30/5.28 tff(8657,plain,
% 7.30/5.28 ((~v100(constB66)) | (~(((~v90(constB66, bitIndex0)) <=> v129(constB66, bitIndex0)) | ((~v90(constB66, bitIndex2)) <=> v129(constB66, bitIndex2)) | ((~v90(constB66, bitIndex1)) <=> v129(constB66, bitIndex1))))),
% 7.30/5.28 inference(unit_resolution,[status(thm)],[8656, 3429])).
% 7.30/5.28 tff(8658,plain,
% 7.30/5.28 (~(((~v90(constB66, bitIndex0)) <=> v129(constB66, bitIndex0)) | ((~v90(constB66, bitIndex2)) <=> v129(constB66, bitIndex2)) | ((~v90(constB66, bitIndex1)) <=> v129(constB66, bitIndex1)))),
% 7.30/5.28 inference(unit_resolution,[status(thm)],[8657, 8650])).
% 7.30/5.28 tff(8659,plain,
% 7.30/5.28 ((((~v90(constB66, bitIndex0)) <=> v129(constB66, bitIndex0)) | ((~v90(constB66, bitIndex2)) <=> v129(constB66, bitIndex2)) | ((~v90(constB66, bitIndex1)) <=> v129(constB66, bitIndex1))) | (~((~v90(constB66, bitIndex2)) <=> v129(constB66, bitIndex2)))),
% 7.30/5.28 inference(tautology,[status(thm)],[])).
% 7.30/5.28 tff(8660,plain,
% 7.30/5.28 (~((~v90(constB66, bitIndex2)) <=> v129(constB66, bitIndex2))),
% 7.30/5.28 inference(unit_resolution,[status(thm)],[8659, 8658])).
% 7.30/5.28 tff(8661,plain,
% 7.30/5.28 (((~v90(constB66, bitIndex2)) <=> v129(constB66, bitIndex2)) | (~v90(constB66, bitIndex2)) | v129(constB66, bitIndex2)),
% 7.30/5.28 inference(tautology,[status(thm)],[])).
% 7.30/5.28 tff(8662,plain,
% 7.30/5.28 (~v90(constB66, bitIndex2)),
% 7.30/5.28 inference(unit_resolution,[status(thm)],[8661, 8660, 8560])).
% 7.30/5.28 tff(8663,plain,
% 7.30/5.28 (((~v90(constB67, bitIndex2)) <=> v90(constB66, bitIndex2)) | (~v90(constB67, bitIndex2)) | v90(constB66, bitIndex2)),
% 7.30/5.28 inference(tautology,[status(thm)],[])).
% 7.30/5.28 tff(8664,plain,
% 7.30/5.28 (~v90(constB67, bitIndex2)),
% 7.30/5.28 inference(unit_resolution,[status(thm)],[8663, 8662, 1049])).
% 7.30/5.28 tff(8665,plain,
% 7.30/5.28 ((((~v90(constB67, bitIndex1)) <=> v90(constB66, bitIndex1)) | ((~v90(constB67, bitIndex2)) <=> v90(constB66, bitIndex2)) | ((~v90(constB67, bitIndex0)) <=> v90(constB66, bitIndex0))) | (~((~v90(constB67, bitIndex0)) <=> v90(constB66, bitIndex0)))),
% 7.30/5.28 inference(tautology,[status(thm)],[])).
% 7.30/5.28 tff(8666,plain,
% 7.30/5.28 (~((~v90(constB67, bitIndex0)) <=> v90(constB66, bitIndex0))),
% 7.30/5.28 inference(unit_resolution,[status(thm)],[8665, 1047])).
% 7.30/5.28 tff(8667,plain,
% 7.30/5.28 ((((~v129(constB66, bitIndex2)) <=> v127(constB65, bitIndex2)) | ((~v129(constB66, bitIndex1)) <=> v127(constB65, bitIndex1)) | ((~v129(constB66, bitIndex0)) <=> v127(constB65, bitIndex0))) | (~((~v129(constB66, bitIndex0)) <=> v127(constB65, bitIndex0)))),
% 7.30/5.28 inference(tautology,[status(thm)],[])).
% 7.30/5.28 tff(8668,plain,
% 7.30/5.28 (~((~v129(constB66, bitIndex0)) <=> v127(constB65, bitIndex0))),
% 7.30/5.28 inference(unit_resolution,[status(thm)],[8667, 1056])).
% 7.30/5.28 tff(8669,plain,
% 7.30/5.28 ((((~v127(constB65, bitIndex2)) <=> v130(constB65, bitIndex2)) | ((~v127(constB65, bitIndex1)) <=> v130(constB65, bitIndex1)) | ((~v127(constB65, bitIndex0)) <=> v130(constB65, bitIndex0))) | (~((~v127(constB65, bitIndex0)) <=> v130(constB65, bitIndex0)))),
% 7.30/5.28 inference(tautology,[status(thm)],[])).
% 7.30/5.28 tff(8670,plain,
% 7.30/5.28 (~((~v127(constB65, bitIndex0)) <=> v130(constB65, bitIndex0))),
% 7.30/5.28 inference(unit_resolution,[status(thm)],[8669, 1070])).
% 7.30/5.28 tff(8671,plain,
% 7.30/5.28 ((v130(constB65, bitIndex2) | v130(constB65, bitIndex1) | (~v130(constB65, bitIndex0))) | v130(constB65, bitIndex0)),
% 7.30/5.28 inference(tautology,[status(thm)],[])).
% 7.30/5.28 tff(8672,plain,
% 7.30/5.28 (v130(constB65, bitIndex0)),
% 7.30/5.28 inference(unit_resolution,[status(thm)],[8671, 8554])).
% 7.30/5.28 tff(8673,plain,
% 7.30/5.28 (((~v127(constB65, bitIndex0)) <=> v130(constB65, bitIndex0)) | v127(constB65, bitIndex0) | (~v130(constB65, bitIndex0))),
% 7.30/5.28 inference(tautology,[status(thm)],[])).
% 7.30/5.28 tff(8674,plain,
% 7.30/5.28 (v127(constB65, bitIndex0)),
% 7.30/5.28 inference(unit_resolution,[status(thm)],[8673, 8672, 8670])).
% 7.30/5.28 tff(8675,plain,
% 7.30/5.28 (((~v129(constB66, bitIndex0)) <=> v127(constB65, bitIndex0)) | v129(constB66, bitIndex0) | (~v127(constB65, bitIndex0))),
% 7.30/5.28 inference(tautology,[status(thm)],[])).
% 7.30/5.28 tff(8676,plain,
% 7.30/5.28 (v129(constB66, bitIndex0)),
% 7.30/5.28 inference(unit_resolution,[status(thm)],[8675, 8674, 8668])).
% 7.30/5.28 tff(8677,plain,
% 7.30/5.28 ((((~v90(constB66, bitIndex0)) <=> v129(constB66, bitIndex0)) | ((~v90(constB66, bitIndex2)) <=> v129(constB66, bitIndex2)) | ((~v90(constB66, bitIndex1)) <=> v129(constB66, bitIndex1))) | (~((~v90(constB66, bitIndex0)) <=> v129(constB66, bitIndex0)))),
% 7.30/5.28 inference(tautology,[status(thm)],[])).
% 7.30/5.28 tff(8678,plain,
% 7.30/5.28 (~((~v90(constB66, bitIndex0)) <=> v129(constB66, bitIndex0))),
% 7.30/5.28 inference(unit_resolution,[status(thm)],[8677, 8658])).
% 7.30/5.28 tff(8679,plain,
% 7.30/5.28 (((~v90(constB66, bitIndex0)) <=> v129(constB66, bitIndex0)) | v90(constB66, bitIndex0) | (~v129(constB66, bitIndex0))),
% 7.30/5.28 inference(tautology,[status(thm)],[])).
% 7.30/5.28 tff(8680,plain,
% 7.30/5.28 (v90(constB66, bitIndex0)),
% 7.30/5.28 inference(unit_resolution,[status(thm)],[8679, 8678, 8676])).
% 7.30/5.28 tff(8681,plain,
% 7.30/5.28 (((~v90(constB67, bitIndex0)) <=> v90(constB66, bitIndex0)) | v90(constB67, bitIndex0) | (~v90(constB66, bitIndex0))),
% 7.30/5.28 inference(tautology,[status(thm)],[])).
% 7.30/5.28 tff(8682,plain,
% 7.30/5.28 (v90(constB67, bitIndex0)),
% 7.30/5.28 inference(unit_resolution,[status(thm)],[8681, 8680, 8666])).
% 7.30/5.28 tff(8683,plain,
% 7.30/5.28 ((((~v90(constB67, bitIndex1)) <=> v90(constB66, bitIndex1)) | ((~v90(constB67, bitIndex2)) <=> v90(constB66, bitIndex2)) | ((~v90(constB67, bitIndex0)) <=> v90(constB66, bitIndex0))) | (~((~v90(constB67, bitIndex1)) <=> v90(constB66, bitIndex1)))),
% 7.30/5.28 inference(tautology,[status(thm)],[])).
% 7.30/5.28 tff(8684,plain,
% 7.30/5.28 (~((~v90(constB67, bitIndex1)) <=> v90(constB66, bitIndex1))),
% 7.30/5.28 inference(unit_resolution,[status(thm)],[8683, 1047])).
% 7.30/5.28 tff(8685,plain,
% 7.30/5.28 ((((~v129(constB66, bitIndex2)) <=> v127(constB65, bitIndex2)) | ((~v129(constB66, bitIndex1)) <=> v127(constB65, bitIndex1)) | ((~v129(constB66, bitIndex0)) <=> v127(constB65, bitIndex0))) | (~((~v129(constB66, bitIndex1)) <=> v127(constB65, bitIndex1)))),
% 7.30/5.28 inference(tautology,[status(thm)],[])).
% 7.30/5.28 tff(8686,plain,
% 7.30/5.28 (~((~v129(constB66, bitIndex1)) <=> v127(constB65, bitIndex1))),
% 7.30/5.28 inference(unit_resolution,[status(thm)],[8685, 1056])).
% 7.30/5.28 tff(8687,plain,
% 7.30/5.28 ((((~v127(constB65, bitIndex2)) <=> v130(constB65, bitIndex2)) | ((~v127(constB65, bitIndex1)) <=> v130(constB65, bitIndex1)) | ((~v127(constB65, bitIndex0)) <=> v130(constB65, bitIndex0))) | (~((~v127(constB65, bitIndex1)) <=> v130(constB65, bitIndex1)))),
% 7.30/5.28 inference(tautology,[status(thm)],[])).
% 7.30/5.28 tff(8688,plain,
% 7.30/5.28 (~((~v127(constB65, bitIndex1)) <=> v130(constB65, bitIndex1))),
% 7.30/5.28 inference(unit_resolution,[status(thm)],[8687, 1070])).
% 7.30/5.28 tff(8689,plain,
% 7.30/5.28 ((v130(constB65, bitIndex2) | v130(constB65, bitIndex1) | (~v130(constB65, bitIndex0))) | (~v130(constB65, bitIndex1))),
% 7.30/5.28 inference(tautology,[status(thm)],[])).
% 7.30/5.28 tff(8690,plain,
% 7.30/5.28 (~v130(constB65, bitIndex1)),
% 7.30/5.28 inference(unit_resolution,[status(thm)],[8689, 8554])).
% 7.30/5.28 tff(8691,plain,
% 7.30/5.28 (((~v127(constB65, bitIndex1)) <=> v130(constB65, bitIndex1)) | (~v127(constB65, bitIndex1)) | v130(constB65, bitIndex1)),
% 7.30/5.28 inference(tautology,[status(thm)],[])).
% 7.30/5.28 tff(8692,plain,
% 7.30/5.28 (~v127(constB65, bitIndex1)),
% 7.30/5.28 inference(unit_resolution,[status(thm)],[8691, 8690, 8688])).
% 7.30/5.28 tff(8693,plain,
% 7.30/5.28 (((~v129(constB66, bitIndex1)) <=> v127(constB65, bitIndex1)) | (~v129(constB66, bitIndex1)) | v127(constB65, bitIndex1)),
% 7.30/5.28 inference(tautology,[status(thm)],[])).
% 7.30/5.28 tff(8694,plain,
% 7.30/5.28 (~v129(constB66, bitIndex1)),
% 7.30/5.28 inference(unit_resolution,[status(thm)],[8693, 8692, 8686])).
% 7.30/5.28 tff(8695,plain,
% 7.30/5.28 ((((~v90(constB66, bitIndex0)) <=> v129(constB66, bitIndex0)) | ((~v90(constB66, bitIndex2)) <=> v129(constB66, bitIndex2)) | ((~v90(constB66, bitIndex1)) <=> v129(constB66, bitIndex1))) | (~((~v90(constB66, bitIndex1)) <=> v129(constB66, bitIndex1)))),
% 7.30/5.28 inference(tautology,[status(thm)],[])).
% 7.30/5.28 tff(8696,plain,
% 7.30/5.28 (~((~v90(constB66, bitIndex1)) <=> v129(constB66, bitIndex1))),
% 7.30/5.28 inference(unit_resolution,[status(thm)],[8695, 8658])).
% 7.30/5.28 tff(8697,plain,
% 7.30/5.28 (((~v90(constB66, bitIndex1)) <=> v129(constB66, bitIndex1)) | (~v90(constB66, bitIndex1)) | v129(constB66, bitIndex1)),
% 7.30/5.28 inference(tautology,[status(thm)],[])).
% 7.30/5.28 tff(8698,plain,
% 7.30/5.28 (~v90(constB66, bitIndex1)),
% 7.30/5.28 inference(unit_resolution,[status(thm)],[8697, 8696, 8694])).
% 7.30/5.28 tff(8699,plain,
% 7.30/5.28 (((~v90(constB67, bitIndex1)) <=> v90(constB66, bitIndex1)) | (~v90(constB67, bitIndex1)) | v90(constB66, bitIndex1)),
% 7.30/5.28 inference(tautology,[status(thm)],[])).
% 7.30/5.28 tff(8700,plain,
% 7.30/5.28 (~v90(constB67, bitIndex1)),
% 7.30/5.28 inference(unit_resolution,[status(thm)],[8699, 8698, 8684])).
% 7.30/5.28 tff(8701,plain,
% 7.30/5.28 ((~(v90(constB67, bitIndex1) | v90(constB67, bitIndex2) | (~v90(constB67, bitIndex0)))) | v90(constB67, bitIndex1) | v90(constB67, bitIndex2) | (~v90(constB67, bitIndex0))),
% 7.30/5.28 inference(tautology,[status(thm)],[])).
% 7.30/5.28 tff(8702,plain,
% 7.30/5.28 (~(v90(constB67, bitIndex1) | v90(constB67, bitIndex2) | (~v90(constB67, bitIndex0)))),
% 7.30/5.28 inference(unit_resolution,[status(thm)],[8701, 8700, 8682, 8664])).
% 7.30/5.28 tff(8703,plain,
% 7.30/5.28 ((~(v120(constB67) <=> (~(v90(constB67, bitIndex1) | v90(constB67, bitIndex2) | (~v90(constB67, bitIndex0)))))) | v120(constB67) | (v90(constB67, bitIndex1) | v90(constB67, bitIndex2) | (~v90(constB67, bitIndex0)))),
% 7.30/5.28 inference(tautology,[status(thm)],[])).
% 7.30/5.28 tff(8704,plain,
% 7.30/5.28 (v120(constB67)),
% 7.30/5.28 inference(unit_resolution,[status(thm)],[8703, 8702, 1013])).
% 7.30/5.28 tff(8705,plain,
% 7.30/5.28 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB67)) | (~(v130(constB67, bitIndex2) | v130(constB67, bitIndex0) | (~v130(constB67, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB67)) | (~(v130(constB67, bitIndex2) | v130(constB67, bitIndex0) | (~v130(constB67, bitIndex1)))))),
% 7.30/5.28 inference(rewrite,[status(thm)],[])).
% 7.30/5.28 tff(8706,plain,
% 7.30/5.28 (((~v120(constB67)) | (~(v130(constB67, bitIndex0) | v130(constB67, bitIndex2) | (~v130(constB67, bitIndex1))))) <=> ((~v120(constB67)) | (~(v130(constB67, bitIndex2) | v130(constB67, bitIndex0) | (~v130(constB67, bitIndex1)))))),
% 7.30/5.28 inference(rewrite,[status(thm)],[])).
% 7.30/5.28 tff(8707,plain,
% 7.30/5.28 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB67)) | (~(v130(constB67, bitIndex0) | v130(constB67, bitIndex2) | (~v130(constB67, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB67)) | (~(v130(constB67, bitIndex2) | v130(constB67, bitIndex0) | (~v130(constB67, bitIndex1))))))),
% 7.30/5.28 inference(monotonicity,[status(thm)],[8706])).
% 7.30/5.28 tff(8708,plain,
% 7.30/5.28 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB67)) | (~(v130(constB67, bitIndex0) | v130(constB67, bitIndex2) | (~v130(constB67, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB67)) | (~(v130(constB67, bitIndex2) | v130(constB67, bitIndex0) | (~v130(constB67, bitIndex1)))))),
% 7.30/5.28 inference(transitivity,[status(thm)],[8707, 8705])).
% 7.30/5.28 tff(8709,plain,
% 7.30/5.28 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB67)) | (~(v130(constB67, bitIndex0) | v130(constB67, bitIndex2) | (~v130(constB67, bitIndex1)))))),
% 7.30/5.28 inference(quant_inst,[status(thm)],[])).
% 7.30/5.28 tff(8710,plain,
% 7.30/5.28 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB67)) | (~(v130(constB67, bitIndex2) | v130(constB67, bitIndex0) | (~v130(constB67, bitIndex1))))),
% 7.30/5.28 inference(modus_ponens,[status(thm)],[8709, 8708])).
% 7.30/5.28 tff(8711,plain,
% 7.30/5.28 ((~v120(constB67)) | (~(v130(constB67, bitIndex2) | v130(constB67, bitIndex0) | (~v130(constB67, bitIndex1))))),
% 7.30/5.28 inference(unit_resolution,[status(thm)],[8710, 3881])).
% 7.30/5.28 tff(8712,plain,
% 7.30/5.28 (~(v130(constB67, bitIndex2) | v130(constB67, bitIndex0) | (~v130(constB67, bitIndex1)))),
% 7.30/5.28 inference(unit_resolution,[status(thm)],[8711, 8704])).
% 7.30/5.28 tff(8713,plain,
% 7.30/5.28 ((v130(constB67, bitIndex2) | v130(constB67, bitIndex0) | (~v130(constB67, bitIndex1))) | (~v130(constB67, bitIndex2))),
% 7.30/5.28 inference(tautology,[status(thm)],[])).
% 7.30/5.28 tff(8714,plain,
% 7.30/5.28 (~v130(constB67, bitIndex2)),
% 7.30/5.28 inference(unit_resolution,[status(thm)],[8713, 8712])).
% 7.30/5.28 tff(8715,plain,
% 7.30/5.28 (((~v127(constB67, bitIndex2)) <=> v130(constB67, bitIndex2)) | (~v127(constB67, bitIndex2)) | v130(constB67, bitIndex2)),
% 7.30/5.28 inference(tautology,[status(thm)],[])).
% 7.30/5.28 tff(8716,plain,
% 7.30/5.28 (~v127(constB67, bitIndex2)),
% 7.30/5.28 inference(unit_resolution,[status(thm)],[8715, 8714, 1011])).
% 7.30/5.28 tff(8717,plain,
% 7.30/5.28 (((~v129(constB68, bitIndex2)) <=> v127(constB67, bitIndex2)) | (~v129(constB68, bitIndex2)) | v127(constB67, bitIndex2)),
% 7.30/5.28 inference(tautology,[status(thm)],[])).
% 7.30/5.28 tff(8718,plain,
% 7.30/5.28 (~v129(constB68, bitIndex2)),
% 7.30/5.28 inference(unit_resolution,[status(thm)],[8717, 8716, 997])).
% 7.30/5.28 tff(8719,plain,
% 7.30/5.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB67, constB68)) | (v100(constB68) <=> (~((~v101(constB68)) | (~v110(constB68))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB67, constB68)) | (v100(constB68) <=> (~((~v101(constB68)) | (~v110(constB68))))))),
% 7.30/5.28 inference(rewrite,[status(thm)],[])).
% 7.30/5.28 tff(8720,plain,
% 7.30/5.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB67, constB68)) | (v100(constB68) <=> (~((~v101(constB68)) | (~v110(constB68))))))),
% 7.30/5.28 inference(quant_inst,[status(thm)],[])).
% 7.30/5.28 tff(8721,plain,
% 7.30/5.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB67, constB68)) | (v100(constB68) <=> (~((~v101(constB68)) | (~v110(constB68)))))),
% 7.30/5.28 inference(modus_ponens,[status(thm)],[8720, 8719])).
% 7.30/5.28 tff(8722,plain,
% 7.30/5.28 (v100(constB68) <=> (~((~v101(constB68)) | (~v110(constB68))))),
% 7.30/5.28 inference(unit_resolution,[status(thm)],[8721, 991, 445])).
% 7.30/5.28 tff(8723,plain,
% 7.30/5.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB67, constB68)) | (v101(constB68) <=> (~((~v1(constB68)) | (~v102(constB68))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB67, constB68)) | (v101(constB68) <=> (~((~v1(constB68)) | (~v102(constB68))))))),
% 7.30/5.28 inference(rewrite,[status(thm)],[])).
% 7.30/5.28 tff(8724,plain,
% 7.30/5.28 (((~nextState(constB67, constB68)) | (v101(constB68) <=> (~((~v102(constB68)) | (~v1(constB68)))))) <=> ((~nextState(constB67, constB68)) | (v101(constB68) <=> (~((~v1(constB68)) | (~v102(constB68))))))),
% 7.30/5.28 inference(rewrite,[status(thm)],[])).
% 7.30/5.28 tff(8725,plain,
% 7.30/5.28 (((~![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) <=> (~((~v1(constB68)) | (~v102(constB68)))))))),
% 7.30/5.28 inference(monotonicity,[status(thm)],[8724])).
% 7.30/5.28 tff(8726,plain,
% 7.30/5.28 (((~![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) <=> (~((~v1(constB68)) | (~v102(constB68))))))),
% 7.30/5.28 inference(transitivity,[status(thm)],[8725, 8723])).
% 7.30/5.28 tff(8727,plain,
% 7.30/5.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB67, constB68)) | (v101(constB68) <=> (~((~v102(constB68)) | (~v1(constB68))))))),
% 7.30/5.28 inference(quant_inst,[status(thm)],[])).
% 7.30/5.28 tff(8728,plain,
% 7.30/5.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB67, constB68)) | (v101(constB68) <=> (~((~v1(constB68)) | (~v102(constB68)))))),
% 7.30/5.28 inference(modus_ponens,[status(thm)],[8727, 8726])).
% 7.30/5.28 tff(8729,plain,
% 7.30/5.28 (v101(constB68) <=> (~((~v1(constB68)) | (~v102(constB68))))),
% 7.30/5.28 inference(unit_resolution,[status(thm)],[8728, 991, 465])).
% 7.30/5.28 tff(8730,plain,
% 7.30/5.28 (((~![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)))),
% 7.30/5.28 inference(rewrite,[status(thm)],[])).
% 7.30/5.28 tff(8731,plain,
% 7.30/5.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB67, constB68)) | ((~v102(constB68)) <=> v104(constB68)))),
% 7.30/5.28 inference(quant_inst,[status(thm)],[])).
% 7.30/5.28 tff(8732,plain,
% 7.30/5.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB67, constB68)) | ((~v102(constB68)) <=> v104(constB68))),
% 7.30/5.28 inference(modus_ponens,[status(thm)],[8731, 8730])).
% 7.30/5.28 tff(8733,plain,
% 7.30/5.28 ((~v102(constB68)) <=> v104(constB68)),
% 7.30/5.28 inference(unit_resolution,[status(thm)],[8732, 991, 3244])).
% 7.30/5.28 tff(8734,plain,
% 7.30/5.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB67, constB68)) | (v104(constB68) <=> v1(constB67)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB67, constB68)) | (v104(constB68) <=> v1(constB67)))),
% 7.30/5.28 inference(rewrite,[status(thm)],[])).
% 7.30/5.28 tff(8735,plain,
% 7.30/5.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB67, constB68)) | (v104(constB68) <=> v1(constB67)))),
% 7.30/5.28 inference(quant_inst,[status(thm)],[])).
% 7.30/5.28 tff(8736,plain,
% 7.30/5.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB67, constB68)) | (v104(constB68) <=> v1(constB67))),
% 7.30/5.28 inference(modus_ponens,[status(thm)],[8735, 8734])).
% 7.30/5.28 tff(8737,plain,
% 7.30/5.28 (v104(constB68) <=> v1(constB67)),
% 7.30/5.28 inference(unit_resolution,[status(thm)],[8736, 991, 3258])).
% 7.30/5.28 tff(8738,plain,
% 7.30/5.28 ((~(v104(constB68) <=> v1(constB67))) | (~v104(constB68)) | v1(constB67)),
% 7.30/5.28 inference(tautology,[status(thm)],[])).
% 7.30/5.28 tff(8739,plain,
% 7.30/5.28 ((~(v104(constB68) <=> v1(constB67))) | (~v104(constB68))),
% 7.30/5.28 inference(unit_resolution,[status(thm)],[8738, 1030])).
% 7.30/5.28 tff(8740,plain,
% 7.30/5.28 (~v104(constB68)),
% 7.30/5.28 inference(unit_resolution,[status(thm)],[8739, 8737])).
% 7.30/5.28 tff(8741,plain,
% 7.30/5.28 ((~((~v102(constB68)) <=> v104(constB68))) | v102(constB68) | v104(constB68)),
% 7.30/5.28 inference(tautology,[status(thm)],[])).
% 7.30/5.28 tff(8742,plain,
% 7.30/5.28 (v102(constB68)),
% 7.30/5.28 inference(unit_resolution,[status(thm)],[8741, 8740, 8733])).
% 7.30/5.28 tff(8743,plain,
% 7.30/5.28 (v1(constB68) <=> v1(constB68)),
% 7.30/5.28 inference(rewrite,[status(thm)],[])).
% 7.30/5.28 tff(8744,axiom,(v1(constB68)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_68')).
% 7.30/5.28 tff(8745,plain,
% 7.30/5.28 (v1(constB68)),
% 7.30/5.28 inference(modus_ponens,[status(thm)],[8744, 8743])).
% 7.30/5.28 tff(8746,plain,
% 7.30/5.28 ((~((~v1(constB68)) | (~v102(constB68)))) | (~v1(constB68)) | (~v102(constB68))),
% 7.30/5.28 inference(tautology,[status(thm)],[])).
% 7.30/5.28 tff(8747,plain,
% 7.30/5.28 ((~((~v1(constB68)) | (~v102(constB68)))) | (~v102(constB68))),
% 7.30/5.28 inference(unit_resolution,[status(thm)],[8746, 8745])).
% 7.30/5.28 tff(8748,plain,
% 7.30/5.28 (~((~v1(constB68)) | (~v102(constB68)))),
% 7.30/5.28 inference(unit_resolution,[status(thm)],[8747, 8742])).
% 7.30/5.28 tff(8749,plain,
% 7.30/5.28 ((~(v101(constB68) <=> (~((~v1(constB68)) | (~v102(constB68)))))) | v101(constB68) | ((~v1(constB68)) | (~v102(constB68)))),
% 7.30/5.28 inference(tautology,[status(thm)],[])).
% 7.30/5.28 tff(8750,plain,
% 7.30/5.28 (v101(constB68)),
% 7.30/5.28 inference(unit_resolution,[status(thm)],[8749, 8748, 8729])).
% 7.30/5.28 tff(8751,plain,
% 7.30/5.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB67, constB68)) | (v110(constB68) <=> v108(constB67)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB67, constB68)) | (v110(constB68) <=> v108(constB67)))),
% 7.30/5.28 inference(rewrite,[status(thm)],[])).
% 7.30/5.28 tff(8752,plain,
% 7.30/5.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB67, constB68)) | (v110(constB68) <=> v108(constB67)))),
% 7.30/5.28 inference(quant_inst,[status(thm)],[])).
% 7.30/5.28 tff(8753,plain,
% 7.30/5.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB67, constB68)) | (v110(constB68) <=> v108(constB67))),
% 7.30/5.28 inference(modus_ponens,[status(thm)],[8752, 8751])).
% 7.30/5.28 tff(8754,plain,
% 7.30/5.28 (v110(constB68) <=> v108(constB67)),
% 7.30/5.28 inference(unit_resolution,[status(thm)],[8753, 991, 3285])).
% 7.30/5.28 tff(8755,plain,
% 7.30/5.28 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB67) <=> (v111(constB67) | v112(constB67)))),
% 7.30/5.28 inference(quant_inst,[status(thm)],[])).
% 7.30/5.28 tff(8756,plain,
% 7.30/5.28 (v108(constB67) <=> (v111(constB67) | v112(constB67))),
% 7.30/5.28 inference(unit_resolution,[status(thm)],[8755, 3296])).
% 7.30/5.28 tff(8757,plain,
% 7.30/5.28 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB67) <=> (~((~v113(constB67)) | (~v126(constB67)))))),
% 7.30/5.28 inference(quant_inst,[status(thm)],[])).
% 7.30/5.28 tff(8758,plain,
% 7.30/5.28 (v112(constB67) <=> (~((~v113(constB67)) | (~v126(constB67))))),
% 7.30/5.28 inference(unit_resolution,[status(thm)],[8757, 3308])).
% 7.30/5.28 tff(8759,plain,
% 7.30/5.28 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB67) <=> (v114(constB67) | v125(constB67)))),
% 7.30/5.28 inference(quant_inst,[status(thm)],[])).
% 7.30/5.28 tff(8760,plain,
% 7.30/5.28 (v113(constB67) <=> (v114(constB67) | v125(constB67))),
% 7.30/5.28 inference(unit_resolution,[status(thm)],[8759, 3317])).
% 7.30/5.28 tff(8761,plain,
% 7.30/5.28 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB67) <=> (v115(constB67) | v124(constB67)))),
% 7.30/5.28 inference(quant_inst,[status(thm)],[])).
% 7.30/5.28 tff(8762,plain,
% 7.30/5.28 (v114(constB67) <=> (v115(constB67) | v124(constB67))),
% 7.30/5.28 inference(unit_resolution,[status(thm)],[8761, 3326])).
% 7.30/5.28 tff(8763,plain,
% 7.30/5.28 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB67) <=> (v116(constB67) | v123(constB67)))),
% 7.30/5.28 inference(quant_inst,[status(thm)],[])).
% 7.30/5.28 tff(8764,plain,
% 7.30/5.28 (v115(constB67) <=> (v116(constB67) | v123(constB67))),
% 7.30/5.28 inference(unit_resolution,[status(thm)],[8763, 3335])).
% 7.30/5.28 tff(8765,plain,
% 7.30/5.28 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB67) <=> (v117(constB67) | v122(constB67)))),
% 7.30/5.28 inference(quant_inst,[status(thm)],[])).
% 7.30/5.28 tff(8766,plain,
% 7.30/5.28 (v116(constB67) <=> (v117(constB67) | v122(constB67))),
% 7.30/5.28 inference(unit_resolution,[status(thm)],[8765, 3344])).
% 7.30/5.28 tff(8767,plain,
% 7.30/5.28 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB67) <=> (v118(constB67) | v121(constB67)))),
% 7.30/5.28 inference(quant_inst,[status(thm)],[])).
% 7.30/5.28 tff(8768,plain,
% 7.30/5.28 (v117(constB67) <=> (v118(constB67) | v121(constB67))),
% 7.30/5.28 inference(unit_resolution,[status(thm)],[8767, 3353])).
% 7.30/5.28 tff(8769,plain,
% 7.30/5.28 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB67) <=> (v119(constB67) | v120(constB67)))),
% 7.30/5.28 inference(quant_inst,[status(thm)],[])).
% 7.30/5.28 tff(8770,plain,
% 7.30/5.28 (v118(constB67) <=> (v119(constB67) | v120(constB67))),
% 7.30/5.28 inference(unit_resolution,[status(thm)],[8769, 3362])).
% 7.30/5.28 tff(8771,plain,
% 7.30/5.28 ((v119(constB67) | v120(constB67)) | (~v120(constB67))),
% 7.30/5.28 inference(tautology,[status(thm)],[])).
% 7.30/5.28 tff(8772,plain,
% 7.30/5.28 (v119(constB67) | v120(constB67)),
% 7.30/5.28 inference(unit_resolution,[status(thm)],[8771, 8704])).
% 7.30/5.28 tff(8773,plain,
% 7.30/5.28 ((~(v118(constB67) <=> (v119(constB67) | v120(constB67)))) | v118(constB67) | (~(v119(constB67) | v120(constB67)))),
% 7.30/5.28 inference(tautology,[status(thm)],[])).
% 7.30/5.28 tff(8774,plain,
% 7.30/5.28 (v118(constB67)),
% 7.30/5.28 inference(unit_resolution,[status(thm)],[8773, 8772, 8770])).
% 7.30/5.28 tff(8775,plain,
% 7.30/5.28 ((v118(constB67) | v121(constB67)) | (~v118(constB67))),
% 7.30/5.28 inference(tautology,[status(thm)],[])).
% 7.30/5.28 tff(8776,plain,
% 7.30/5.28 (v118(constB67) | v121(constB67)),
% 7.30/5.28 inference(unit_resolution,[status(thm)],[8775, 8774])).
% 7.30/5.28 tff(8777,plain,
% 7.30/5.28 ((~(v117(constB67) <=> (v118(constB67) | v121(constB67)))) | v117(constB67) | (~(v118(constB67) | v121(constB67)))),
% 7.30/5.28 inference(tautology,[status(thm)],[])).
% 7.30/5.28 tff(8778,plain,
% 7.30/5.28 (v117(constB67)),
% 7.30/5.28 inference(unit_resolution,[status(thm)],[8777, 8776, 8768])).
% 7.30/5.28 tff(8779,plain,
% 7.30/5.28 ((v117(constB67) | v122(constB67)) | (~v117(constB67))),
% 7.30/5.28 inference(tautology,[status(thm)],[])).
% 7.30/5.28 tff(8780,plain,
% 7.30/5.28 (v117(constB67) | v122(constB67)),
% 7.30/5.28 inference(unit_resolution,[status(thm)],[8779, 8778])).
% 7.30/5.28 tff(8781,plain,
% 7.30/5.28 ((~(v116(constB67) <=> (v117(constB67) | v122(constB67)))) | v116(constB67) | (~(v117(constB67) | v122(constB67)))),
% 7.30/5.28 inference(tautology,[status(thm)],[])).
% 7.30/5.28 tff(8782,plain,
% 7.30/5.28 (v116(constB67)),
% 7.30/5.28 inference(unit_resolution,[status(thm)],[8781, 8780, 8766])).
% 7.30/5.28 tff(8783,plain,
% 7.30/5.29 ((v116(constB67) | v123(constB67)) | (~v116(constB67))),
% 7.30/5.29 inference(tautology,[status(thm)],[])).
% 7.30/5.29 tff(8784,plain,
% 7.30/5.29 (v116(constB67) | v123(constB67)),
% 7.30/5.29 inference(unit_resolution,[status(thm)],[8783, 8782])).
% 7.30/5.29 tff(8785,plain,
% 7.30/5.29 ((~(v115(constB67) <=> (v116(constB67) | v123(constB67)))) | v115(constB67) | (~(v116(constB67) | v123(constB67)))),
% 7.30/5.29 inference(tautology,[status(thm)],[])).
% 7.30/5.29 tff(8786,plain,
% 7.30/5.29 (v115(constB67)),
% 7.30/5.29 inference(unit_resolution,[status(thm)],[8785, 8784, 8764])).
% 7.30/5.29 tff(8787,plain,
% 7.30/5.29 ((v115(constB67) | v124(constB67)) | (~v115(constB67))),
% 7.30/5.29 inference(tautology,[status(thm)],[])).
% 7.30/5.29 tff(8788,plain,
% 7.30/5.29 (v115(constB67) | v124(constB67)),
% 7.30/5.29 inference(unit_resolution,[status(thm)],[8787, 8786])).
% 7.30/5.29 tff(8789,plain,
% 7.30/5.29 ((~(v114(constB67) <=> (v115(constB67) | v124(constB67)))) | v114(constB67) | (~(v115(constB67) | v124(constB67)))),
% 7.30/5.29 inference(tautology,[status(thm)],[])).
% 7.30/5.29 tff(8790,plain,
% 7.30/5.29 (v114(constB67)),
% 7.30/5.29 inference(unit_resolution,[status(thm)],[8789, 8788, 8762])).
% 7.30/5.29 tff(8791,plain,
% 7.30/5.29 ((v114(constB67) | v125(constB67)) | (~v114(constB67))),
% 7.30/5.29 inference(tautology,[status(thm)],[])).
% 7.30/5.29 tff(8792,plain,
% 7.30/5.29 (v114(constB67) | v125(constB67)),
% 7.30/5.29 inference(unit_resolution,[status(thm)],[8791, 8790])).
% 7.30/5.29 tff(8793,plain,
% 7.30/5.29 ((~(v113(constB67) <=> (v114(constB67) | v125(constB67)))) | v113(constB67) | (~(v114(constB67) | v125(constB67)))),
% 7.30/5.29 inference(tautology,[status(thm)],[])).
% 7.30/5.29 tff(8794,plain,
% 7.30/5.29 (v113(constB67)),
% 7.30/5.29 inference(unit_resolution,[status(thm)],[8793, 8792, 8760])).
% 7.30/5.29 tff(8795,plain,
% 7.30/5.29 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB67)) <=> v111(constB67))),
% 7.30/5.29 inference(quant_inst,[status(thm)],[])).
% 7.30/5.29 tff(8796,plain,
% 7.30/5.29 ((~v126(constB67)) <=> v111(constB67)),
% 7.30/5.29 inference(unit_resolution,[status(thm)],[8795, 3396])).
% 7.30/5.29 tff(8797,plain,
% 7.30/5.29 ((~((~v126(constB67)) <=> v111(constB67))) | v126(constB67) | v111(constB67)),
% 7.30/5.29 inference(tautology,[status(thm)],[])).
% 7.30/5.29 tff(8798,plain,
% 7.30/5.29 ((~((~v126(constB67)) <=> v111(constB67))) | v126(constB67)),
% 7.30/5.29 inference(unit_resolution,[status(thm)],[8797, 1004])).
% 7.30/5.29 tff(8799,plain,
% 7.30/5.29 (v126(constB67)),
% 7.30/5.29 inference(unit_resolution,[status(thm)],[8798, 8796])).
% 7.30/5.29 tff(8800,plain,
% 7.30/5.29 ((~((~v113(constB67)) | (~v126(constB67)))) | (~v113(constB67)) | (~v126(constB67))),
% 7.30/5.29 inference(tautology,[status(thm)],[])).
% 7.30/5.29 tff(8801,plain,
% 7.30/5.29 ((~((~v113(constB67)) | (~v126(constB67)))) | (~v113(constB67))),
% 7.30/5.29 inference(unit_resolution,[status(thm)],[8800, 8799])).
% 7.30/5.29 tff(8802,plain,
% 7.30/5.29 (~((~v113(constB67)) | (~v126(constB67)))),
% 7.30/5.29 inference(unit_resolution,[status(thm)],[8801, 8794])).
% 7.30/5.29 tff(8803,plain,
% 7.30/5.29 ((~(v112(constB67) <=> (~((~v113(constB67)) | (~v126(constB67)))))) | v112(constB67) | ((~v113(constB67)) | (~v126(constB67)))),
% 7.30/5.29 inference(tautology,[status(thm)],[])).
% 7.30/5.29 tff(8804,plain,
% 7.30/5.29 (v112(constB67)),
% 7.30/5.29 inference(unit_resolution,[status(thm)],[8803, 8802, 8758])).
% 7.30/5.29 tff(8805,plain,
% 7.30/5.29 ((v111(constB67) | v112(constB67)) | (~v112(constB67))),
% 7.30/5.29 inference(tautology,[status(thm)],[])).
% 7.30/5.29 tff(8806,plain,
% 7.30/5.29 (v111(constB67) | v112(constB67)),
% 7.30/5.29 inference(unit_resolution,[status(thm)],[8805, 8804])).
% 7.30/5.29 tff(8807,plain,
% 7.30/5.29 ((~(v108(constB67) <=> (v111(constB67) | v112(constB67)))) | v108(constB67) | (~(v111(constB67) | v112(constB67)))),
% 7.30/5.29 inference(tautology,[status(thm)],[])).
% 7.30/5.29 tff(8808,plain,
% 7.30/5.29 (v108(constB67)),
% 7.30/5.29 inference(unit_resolution,[status(thm)],[8807, 8806, 8756])).
% 7.30/5.29 tff(8809,plain,
% 7.30/5.29 ((~(v110(constB68) <=> v108(constB67))) | v110(constB68) | (~v108(constB67))),
% 7.30/5.29 inference(tautology,[status(thm)],[])).
% 7.30/5.29 tff(8810,plain,
% 7.30/5.29 (v110(constB68)),
% 7.30/5.29 inference(unit_resolution,[status(thm)],[8809, 8808, 8754])).
% 7.30/5.29 tff(8811,plain,
% 7.30/5.29 ((~((~v101(constB68)) | (~v110(constB68)))) | (~v101(constB68)) | (~v110(constB68))),
% 7.30/5.29 inference(tautology,[status(thm)],[])).
% 7.30/5.29 tff(8812,plain,
% 7.30/5.29 (~((~v101(constB68)) | (~v110(constB68)))),
% 7.30/5.29 inference(unit_resolution,[status(thm)],[8811, 8810, 8750])).
% 7.30/5.29 tff(8813,plain,
% 7.30/5.29 ((~(v100(constB68) <=> (~((~v101(constB68)) | (~v110(constB68)))))) | v100(constB68) | ((~v101(constB68)) | (~v110(constB68)))),
% 7.30/5.29 inference(tautology,[status(thm)],[])).
% 7.30/5.29 tff(8814,plain,
% 7.30/5.29 (v100(constB68)),
% 7.30/5.29 inference(unit_resolution,[status(thm)],[8813, 8812, 8722])).
% 7.30/5.29 tff(8815,plain,
% 7.30/5.29 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB68)) | (~(((~v90(constB68, bitIndex2)) <=> v129(constB68, bitIndex2)) | ((~v90(constB68, bitIndex1)) <=> v129(constB68, bitIndex1)) | ((~v90(constB68, bitIndex0)) <=> v129(constB68, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB68)) | (~(((~v90(constB68, bitIndex2)) <=> v129(constB68, bitIndex2)) | ((~v90(constB68, bitIndex1)) <=> v129(constB68, bitIndex1)) | ((~v90(constB68, bitIndex0)) <=> v129(constB68, bitIndex0)))))),
% 7.30/5.29 inference(rewrite,[status(thm)],[])).
% 7.30/5.29 tff(8816,plain,
% 7.30/5.29 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB68)) | (~(((~v90(constB68, bitIndex2)) <=> v129(constB68, bitIndex2)) | ((~v90(constB68, bitIndex1)) <=> v129(constB68, bitIndex1)) | ((~v90(constB68, bitIndex0)) <=> v129(constB68, bitIndex0)))))),
% 7.30/5.29 inference(quant_inst,[status(thm)],[])).
% 7.30/5.29 tff(8817,plain,
% 7.30/5.29 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB68)) | (~(((~v90(constB68, bitIndex2)) <=> v129(constB68, bitIndex2)) | ((~v90(constB68, bitIndex1)) <=> v129(constB68, bitIndex1)) | ((~v90(constB68, bitIndex0)) <=> v129(constB68, bitIndex0))))),
% 7.30/5.29 inference(modus_ponens,[status(thm)],[8816, 8815])).
% 7.30/5.29 tff(8818,plain,
% 7.30/5.29 ((~v100(constB68)) | (~(((~v90(constB68, bitIndex2)) <=> v129(constB68, bitIndex2)) | ((~v90(constB68, bitIndex1)) <=> v129(constB68, bitIndex1)) | ((~v90(constB68, bitIndex0)) <=> v129(constB68, bitIndex0))))),
% 7.30/5.29 inference(unit_resolution,[status(thm)],[8817, 3429])).
% 7.30/5.29 tff(8819,plain,
% 7.30/5.29 (~(((~v90(constB68, bitIndex2)) <=> v129(constB68, bitIndex2)) | ((~v90(constB68, bitIndex1)) <=> v129(constB68, bitIndex1)) | ((~v90(constB68, bitIndex0)) <=> v129(constB68, bitIndex0)))),
% 7.30/5.29 inference(unit_resolution,[status(thm)],[8818, 8814])).
% 7.30/5.29 tff(8820,plain,
% 7.30/5.29 ((((~v90(constB68, bitIndex2)) <=> v129(constB68, bitIndex2)) | ((~v90(constB68, bitIndex1)) <=> v129(constB68, bitIndex1)) | ((~v90(constB68, bitIndex0)) <=> v129(constB68, bitIndex0))) | (~((~v90(constB68, bitIndex2)) <=> v129(constB68, bitIndex2)))),
% 7.30/5.29 inference(tautology,[status(thm)],[])).
% 7.30/5.29 tff(8821,plain,
% 7.30/5.29 (~((~v90(constB68, bitIndex2)) <=> v129(constB68, bitIndex2))),
% 7.30/5.29 inference(unit_resolution,[status(thm)],[8820, 8819])).
% 7.30/5.29 tff(8822,plain,
% 7.30/5.29 (((~v90(constB68, bitIndex2)) <=> v129(constB68, bitIndex2)) | (~v90(constB68, bitIndex2)) | v129(constB68, bitIndex2)),
% 7.30/5.29 inference(tautology,[status(thm)],[])).
% 7.30/5.29 tff(8823,plain,
% 7.30/5.29 (~v90(constB68, bitIndex2)),
% 7.30/5.29 inference(unit_resolution,[status(thm)],[8822, 8821, 8718])).
% 7.30/5.29 tff(8824,plain,
% 7.30/5.29 (((~v90(constB69, bitIndex2)) <=> v90(constB68, bitIndex2)) | (~v90(constB69, bitIndex2)) | v90(constB68, bitIndex2)),
% 7.30/5.29 inference(tautology,[status(thm)],[])).
% 7.30/5.29 tff(8825,plain,
% 7.30/5.29 (~v90(constB69, bitIndex2)),
% 7.30/5.29 inference(unit_resolution,[status(thm)],[8824, 8823, 988])).
% 7.30/5.29 tff(8826,plain,
% 7.30/5.29 ((((~v90(constB69, bitIndex1)) <=> v90(constB68, bitIndex1)) | ((~v90(constB69, bitIndex2)) <=> v90(constB68, bitIndex2)) | ((~v90(constB69, bitIndex0)) <=> v90(constB68, bitIndex0))) | (~((~v90(constB69, bitIndex0)) <=> v90(constB68, bitIndex0)))),
% 7.30/5.29 inference(tautology,[status(thm)],[])).
% 7.30/5.29 tff(8827,plain,
% 7.30/5.29 (~((~v90(constB69, bitIndex0)) <=> v90(constB68, bitIndex0))),
% 7.30/5.29 inference(unit_resolution,[status(thm)],[8826, 986])).
% 7.30/5.29 tff(8828,plain,
% 7.30/5.29 ((((~v129(constB68, bitIndex2)) <=> v127(constB67, bitIndex2)) | ((~v129(constB68, bitIndex1)) <=> v127(constB67, bitIndex1)) | ((~v129(constB68, bitIndex0)) <=> v127(constB67, bitIndex0))) | (~((~v129(constB68, bitIndex0)) <=> v127(constB67, bitIndex0)))),
% 7.30/5.29 inference(tautology,[status(thm)],[])).
% 7.30/5.29 tff(8829,plain,
% 7.30/5.29 (~((~v129(constB68, bitIndex0)) <=> v127(constB67, bitIndex0))),
% 7.30/5.29 inference(unit_resolution,[status(thm)],[8828, 995])).
% 7.30/5.29 tff(8830,plain,
% 7.30/5.29 ((((~v127(constB67, bitIndex2)) <=> v130(constB67, bitIndex2)) | ((~v127(constB67, bitIndex1)) <=> v130(constB67, bitIndex1)) | ((~v127(constB67, bitIndex0)) <=> v130(constB67, bitIndex0))) | (~((~v127(constB67, bitIndex0)) <=> v130(constB67, bitIndex0)))),
% 7.30/5.29 inference(tautology,[status(thm)],[])).
% 7.30/5.29 tff(8831,plain,
% 7.30/5.29 (~((~v127(constB67, bitIndex0)) <=> v130(constB67, bitIndex0))),
% 7.30/5.29 inference(unit_resolution,[status(thm)],[8830, 1009])).
% 7.30/5.29 tff(8832,plain,
% 7.30/5.29 ((v130(constB67, bitIndex2) | v130(constB67, bitIndex0) | (~v130(constB67, bitIndex1))) | (~v130(constB67, bitIndex0))),
% 7.30/5.29 inference(tautology,[status(thm)],[])).
% 7.30/5.29 tff(8833,plain,
% 7.30/5.29 (~v130(constB67, bitIndex0)),
% 7.30/5.29 inference(unit_resolution,[status(thm)],[8832, 8712])).
% 7.30/5.29 tff(8834,plain,
% 7.30/5.29 (((~v127(constB67, bitIndex0)) <=> v130(constB67, bitIndex0)) | (~v127(constB67, bitIndex0)) | v130(constB67, bitIndex0)),
% 7.30/5.29 inference(tautology,[status(thm)],[])).
% 7.30/5.29 tff(8835,plain,
% 7.30/5.29 (~v127(constB67, bitIndex0)),
% 7.30/5.29 inference(unit_resolution,[status(thm)],[8834, 8833, 8831])).
% 7.30/5.29 tff(8836,plain,
% 7.30/5.29 (((~v129(constB68, bitIndex0)) <=> v127(constB67, bitIndex0)) | (~v129(constB68, bitIndex0)) | v127(constB67, bitIndex0)),
% 7.30/5.29 inference(tautology,[status(thm)],[])).
% 7.30/5.29 tff(8837,plain,
% 7.30/5.29 (~v129(constB68, bitIndex0)),
% 7.30/5.29 inference(unit_resolution,[status(thm)],[8836, 8835, 8829])).
% 7.30/5.29 tff(8838,plain,
% 7.30/5.29 ((((~v90(constB68, bitIndex2)) <=> v129(constB68, bitIndex2)) | ((~v90(constB68, bitIndex1)) <=> v129(constB68, bitIndex1)) | ((~v90(constB68, bitIndex0)) <=> v129(constB68, bitIndex0))) | (~((~v90(constB68, bitIndex0)) <=> v129(constB68, bitIndex0)))),
% 7.30/5.29 inference(tautology,[status(thm)],[])).
% 7.30/5.29 tff(8839,plain,
% 7.30/5.29 (~((~v90(constB68, bitIndex0)) <=> v129(constB68, bitIndex0))),
% 7.30/5.29 inference(unit_resolution,[status(thm)],[8838, 8819])).
% 7.30/5.29 tff(8840,plain,
% 7.30/5.29 (((~v90(constB68, bitIndex0)) <=> v129(constB68, bitIndex0)) | (~v90(constB68, bitIndex0)) | v129(constB68, bitIndex0)),
% 7.30/5.29 inference(tautology,[status(thm)],[])).
% 7.30/5.29 tff(8841,plain,
% 7.30/5.29 (~v90(constB68, bitIndex0)),
% 7.30/5.29 inference(unit_resolution,[status(thm)],[8840, 8839, 8837])).
% 7.30/5.29 tff(8842,plain,
% 7.30/5.29 (((~v90(constB69, bitIndex0)) <=> v90(constB68, bitIndex0)) | (~v90(constB69, bitIndex0)) | v90(constB68, bitIndex0)),
% 7.30/5.29 inference(tautology,[status(thm)],[])).
% 7.30/5.29 tff(8843,plain,
% 7.30/5.29 (~v90(constB69, bitIndex0)),
% 7.30/5.29 inference(unit_resolution,[status(thm)],[8842, 8841, 8827])).
% 7.30/5.29 tff(8844,plain,
% 7.30/5.29 ((((~v90(constB69, bitIndex1)) <=> v90(constB68, bitIndex1)) | ((~v90(constB69, bitIndex2)) <=> v90(constB68, bitIndex2)) | ((~v90(constB69, bitIndex0)) <=> v90(constB68, bitIndex0))) | (~((~v90(constB69, bitIndex1)) <=> v90(constB68, bitIndex1)))),
% 7.30/5.29 inference(tautology,[status(thm)],[])).
% 7.30/5.29 tff(8845,plain,
% 7.30/5.29 (~((~v90(constB69, bitIndex1)) <=> v90(constB68, bitIndex1))),
% 7.30/5.29 inference(unit_resolution,[status(thm)],[8844, 986])).
% 7.30/5.29 tff(8846,plain,
% 7.30/5.29 ((((~v129(constB68, bitIndex2)) <=> v127(constB67, bitIndex2)) | ((~v129(constB68, bitIndex1)) <=> v127(constB67, bitIndex1)) | ((~v129(constB68, bitIndex0)) <=> v127(constB67, bitIndex0))) | (~((~v129(constB68, bitIndex1)) <=> v127(constB67, bitIndex1)))),
% 7.30/5.29 inference(tautology,[status(thm)],[])).
% 7.30/5.29 tff(8847,plain,
% 7.30/5.29 (~((~v129(constB68, bitIndex1)) <=> v127(constB67, bitIndex1))),
% 7.30/5.29 inference(unit_resolution,[status(thm)],[8846, 995])).
% 7.30/5.29 tff(8848,plain,
% 7.30/5.29 ((((~v127(constB67, bitIndex2)) <=> v130(constB67, bitIndex2)) | ((~v127(constB67, bitIndex1)) <=> v130(constB67, bitIndex1)) | ((~v127(constB67, bitIndex0)) <=> v130(constB67, bitIndex0))) | (~((~v127(constB67, bitIndex1)) <=> v130(constB67, bitIndex1)))),
% 7.30/5.29 inference(tautology,[status(thm)],[])).
% 7.30/5.29 tff(8849,plain,
% 7.30/5.29 (~((~v127(constB67, bitIndex1)) <=> v130(constB67, bitIndex1))),
% 7.30/5.29 inference(unit_resolution,[status(thm)],[8848, 1009])).
% 7.30/5.29 tff(8850,plain,
% 7.30/5.29 ((v130(constB67, bitIndex2) | v130(constB67, bitIndex0) | (~v130(constB67, bitIndex1))) | v130(constB67, bitIndex1)),
% 7.30/5.29 inference(tautology,[status(thm)],[])).
% 7.30/5.29 tff(8851,plain,
% 7.30/5.29 (v130(constB67, bitIndex1)),
% 7.30/5.29 inference(unit_resolution,[status(thm)],[8850, 8712])).
% 7.30/5.29 tff(8852,plain,
% 7.30/5.29 (((~v127(constB67, bitIndex1)) <=> v130(constB67, bitIndex1)) | v127(constB67, bitIndex1) | (~v130(constB67, bitIndex1))),
% 7.30/5.29 inference(tautology,[status(thm)],[])).
% 7.30/5.29 tff(8853,plain,
% 7.30/5.29 (v127(constB67, bitIndex1)),
% 7.30/5.29 inference(unit_resolution,[status(thm)],[8852, 8851, 8849])).
% 7.30/5.29 tff(8854,plain,
% 7.30/5.29 (((~v129(constB68, bitIndex1)) <=> v127(constB67, bitIndex1)) | v129(constB68, bitIndex1) | (~v127(constB67, bitIndex1))),
% 7.30/5.29 inference(tautology,[status(thm)],[])).
% 7.30/5.29 tff(8855,plain,
% 7.30/5.29 (v129(constB68, bitIndex1)),
% 7.30/5.29 inference(unit_resolution,[status(thm)],[8854, 8853, 8847])).
% 7.30/5.29 tff(8856,plain,
% 7.30/5.29 ((((~v90(constB68, bitIndex2)) <=> v129(constB68, bitIndex2)) | ((~v90(constB68, bitIndex1)) <=> v129(constB68, bitIndex1)) | ((~v90(constB68, bitIndex0)) <=> v129(constB68, bitIndex0))) | (~((~v90(constB68, bitIndex1)) <=> v129(constB68, bitIndex1)))),
% 7.30/5.29 inference(tautology,[status(thm)],[])).
% 7.30/5.29 tff(8857,plain,
% 7.30/5.29 (~((~v90(constB68, bitIndex1)) <=> v129(constB68, bitIndex1))),
% 7.30/5.29 inference(unit_resolution,[status(thm)],[8856, 8819])).
% 7.30/5.29 tff(8858,plain,
% 7.30/5.29 (((~v90(constB68, bitIndex1)) <=> v129(constB68, bitIndex1)) | v90(constB68, bitIndex1) | (~v129(constB68, bitIndex1))),
% 7.30/5.29 inference(tautology,[status(thm)],[])).
% 7.30/5.29 tff(8859,plain,
% 7.30/5.29 (v90(constB68, bitIndex1)),
% 7.30/5.29 inference(unit_resolution,[status(thm)],[8858, 8857, 8855])).
% 7.30/5.29 tff(8860,plain,
% 7.30/5.29 (((~v90(constB69, bitIndex1)) <=> v90(constB68, bitIndex1)) | v90(constB69, bitIndex1) | (~v90(constB68, bitIndex1))),
% 7.30/5.29 inference(tautology,[status(thm)],[])).
% 7.30/5.29 tff(8861,plain,
% 7.30/5.29 (v90(constB69, bitIndex1)),
% 7.30/5.29 inference(unit_resolution,[status(thm)],[8860, 8859, 8845])).
% 7.30/5.29 tff(8862,plain,
% 7.30/5.29 ((~(v90(constB69, bitIndex2) | v90(constB69, bitIndex0) | (~v90(constB69, bitIndex1)))) | v90(constB69, bitIndex2) | v90(constB69, bitIndex0) | (~v90(constB69, bitIndex1))),
% 7.30/5.29 inference(tautology,[status(thm)],[])).
% 7.30/5.29 tff(8863,plain,
% 7.30/5.29 (~(v90(constB69, bitIndex2) | v90(constB69, bitIndex0) | (~v90(constB69, bitIndex1)))),
% 7.30/5.29 inference(unit_resolution,[status(thm)],[8862, 8861, 8843, 8825])).
% 7.30/5.29 tff(8864,plain,
% 7.30/5.29 ((~(v121(constB69) <=> (~(v90(constB69, bitIndex2) | v90(constB69, bitIndex0) | (~v90(constB69, bitIndex1)))))) | v121(constB69) | (v90(constB69, bitIndex2) | v90(constB69, bitIndex0) | (~v90(constB69, bitIndex1)))),
% 7.30/5.29 inference(tautology,[status(thm)],[])).
% 7.30/5.29 tff(8865,plain,
% 7.30/5.29 (v121(constB69)),
% 7.30/5.29 inference(unit_resolution,[status(thm)],[8864, 8863, 952])).
% 7.30/5.29 tff(8866,plain,
% 7.30/5.29 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB69)) | (~(v130(constB69, bitIndex2) | (~v130(constB69, bitIndex1)) | (~v130(constB69, bitIndex0)))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | (~v121(constB69)) | (~(v130(constB69, bitIndex2) | (~v130(constB69, bitIndex1)) | (~v130(constB69, bitIndex0)))))),
% 7.30/5.29 inference(rewrite,[status(thm)],[])).
% 7.30/5.29 tff(8867,plain,
% 7.30/5.29 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB69)) | (~(v130(constB69, bitIndex2) | (~v130(constB69, bitIndex1)) | (~v130(constB69, bitIndex0)))))),
% 7.30/5.29 inference(quant_inst,[status(thm)],[])).
% 7.30/5.29 tff(8868,plain,
% 7.30/5.29 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | (~v121(constB69)) | (~(v130(constB69, bitIndex2) | (~v130(constB69, bitIndex1)) | (~v130(constB69, bitIndex0))))),
% 7.30/5.29 inference(modus_ponens,[status(thm)],[8867, 8866])).
% 7.30/5.29 tff(8869,plain,
% 7.30/5.29 ((~v121(constB69)) | (~(v130(constB69, bitIndex2) | (~v130(constB69, bitIndex1)) | (~v130(constB69, bitIndex0))))),
% 7.30/5.29 inference(unit_resolution,[status(thm)],[8868, 4055])).
% 7.30/5.29 tff(8870,plain,
% 7.30/5.29 (~(v130(constB69, bitIndex2) | (~v130(constB69, bitIndex1)) | (~v130(constB69, bitIndex0)))),
% 7.30/5.29 inference(unit_resolution,[status(thm)],[8869, 8865])).
% 7.30/5.29 tff(8871,plain,
% 7.30/5.29 ((v130(constB69, bitIndex2) | (~v130(constB69, bitIndex1)) | (~v130(constB69, bitIndex0))) | (~v130(constB69, bitIndex2))),
% 7.30/5.29 inference(tautology,[status(thm)],[])).
% 7.30/5.29 tff(8872,plain,
% 7.30/5.29 (~v130(constB69, bitIndex2)),
% 7.30/5.29 inference(unit_resolution,[status(thm)],[8871, 8870])).
% 7.30/5.29 tff(8873,plain,
% 7.30/5.29 (((~v127(constB69, bitIndex2)) <=> v130(constB69, bitIndex2)) | (~v127(constB69, bitIndex2)) | v130(constB69, bitIndex2)),
% 7.30/5.29 inference(tautology,[status(thm)],[])).
% 7.30/5.29 tff(8874,plain,
% 7.30/5.29 (~v127(constB69, bitIndex2)),
% 7.30/5.29 inference(unit_resolution,[status(thm)],[8873, 8872, 945])).
% 7.30/5.29 tff(8875,plain,
% 7.30/5.29 (((~v129(constB70, bitIndex2)) <=> v127(constB69, bitIndex2)) | (~v129(constB70, bitIndex2)) | v127(constB69, bitIndex2)),
% 7.30/5.29 inference(tautology,[status(thm)],[])).
% 7.30/5.29 tff(8876,plain,
% 7.30/5.29 (~v129(constB70, bitIndex2)),
% 7.30/5.29 inference(unit_resolution,[status(thm)],[8875, 8874, 931])).
% 7.30/5.29 tff(8877,plain,
% 7.30/5.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB69, constB70)) | (v100(constB70) <=> (~((~v101(constB70)) | (~v110(constB70))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB69, constB70)) | (v100(constB70) <=> (~((~v101(constB70)) | (~v110(constB70))))))),
% 7.30/5.29 inference(rewrite,[status(thm)],[])).
% 7.30/5.29 tff(8878,plain,
% 7.30/5.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB69, constB70)) | (v100(constB70) <=> (~((~v101(constB70)) | (~v110(constB70))))))),
% 7.30/5.29 inference(quant_inst,[status(thm)],[])).
% 7.30/5.29 tff(8879,plain,
% 7.30/5.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB69, constB70)) | (v100(constB70) <=> (~((~v101(constB70)) | (~v110(constB70)))))),
% 7.30/5.29 inference(modus_ponens,[status(thm)],[8878, 8877])).
% 7.30/5.29 tff(8880,plain,
% 7.30/5.29 (v100(constB70) <=> (~((~v101(constB70)) | (~v110(constB70))))),
% 7.30/5.29 inference(unit_resolution,[status(thm)],[8879, 925, 445])).
% 7.30/5.29 tff(8881,plain,
% 7.30/5.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB69, constB70)) | (v101(constB70) <=> (~((~v1(constB70)) | (~v102(constB70))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB69, constB70)) | (v101(constB70) <=> (~((~v1(constB70)) | (~v102(constB70))))))),
% 7.30/5.29 inference(rewrite,[status(thm)],[])).
% 7.30/5.29 tff(8882,plain,
% 7.30/5.29 (((~nextState(constB69, constB70)) | (v101(constB70) <=> (~((~v102(constB70)) | (~v1(constB70)))))) <=> ((~nextState(constB69, constB70)) | (v101(constB70) <=> (~((~v1(constB70)) | (~v102(constB70))))))),
% 7.30/5.29 inference(rewrite,[status(thm)],[])).
% 7.30/5.29 tff(8883,plain,
% 7.30/5.29 (((~![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) <=> (~((~v1(constB70)) | (~v102(constB70)))))))),
% 7.30/5.29 inference(monotonicity,[status(thm)],[8882])).
% 7.30/5.29 tff(8884,plain,
% 7.30/5.29 (((~![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) <=> (~((~v1(constB70)) | (~v102(constB70))))))),
% 7.30/5.29 inference(transitivity,[status(thm)],[8883, 8881])).
% 7.30/5.29 tff(8885,plain,
% 7.30/5.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB69, constB70)) | (v101(constB70) <=> (~((~v102(constB70)) | (~v1(constB70))))))),
% 7.30/5.29 inference(quant_inst,[status(thm)],[])).
% 7.30/5.29 tff(8886,plain,
% 7.30/5.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB69, constB70)) | (v101(constB70) <=> (~((~v1(constB70)) | (~v102(constB70)))))),
% 7.30/5.29 inference(modus_ponens,[status(thm)],[8885, 8884])).
% 7.30/5.29 tff(8887,plain,
% 7.30/5.29 (v101(constB70) <=> (~((~v1(constB70)) | (~v102(constB70))))),
% 7.30/5.29 inference(unit_resolution,[status(thm)],[8886, 925, 465])).
% 7.30/5.29 tff(8888,plain,
% 7.30/5.29 (((~![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)))),
% 7.30/5.29 inference(rewrite,[status(thm)],[])).
% 7.30/5.29 tff(8889,plain,
% 7.30/5.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB69, constB70)) | ((~v102(constB70)) <=> v104(constB70)))),
% 7.30/5.29 inference(quant_inst,[status(thm)],[])).
% 7.30/5.29 tff(8890,plain,
% 7.30/5.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB69, constB70)) | ((~v102(constB70)) <=> v104(constB70))),
% 7.30/5.29 inference(modus_ponens,[status(thm)],[8889, 8888])).
% 7.30/5.29 tff(8891,plain,
% 7.30/5.29 ((~v102(constB70)) <=> v104(constB70)),
% 7.30/5.29 inference(unit_resolution,[status(thm)],[8890, 925, 3244])).
% 7.30/5.29 tff(8892,plain,
% 7.30/5.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB69, constB70)) | (v104(constB70) <=> v1(constB69)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB69, constB70)) | (v104(constB70) <=> v1(constB69)))),
% 7.30/5.29 inference(rewrite,[status(thm)],[])).
% 7.30/5.29 tff(8893,plain,
% 7.30/5.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB69, constB70)) | (v104(constB70) <=> v1(constB69)))),
% 7.30/5.29 inference(quant_inst,[status(thm)],[])).
% 7.30/5.29 tff(8894,plain,
% 7.30/5.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB69, constB70)) | (v104(constB70) <=> v1(constB69))),
% 7.30/5.29 inference(modus_ponens,[status(thm)],[8893, 8892])).
% 7.30/5.29 tff(8895,plain,
% 7.30/5.29 (v104(constB70) <=> v1(constB69)),
% 7.30/5.29 inference(unit_resolution,[status(thm)],[8894, 925, 3258])).
% 7.30/5.29 tff(8896,plain,
% 7.30/5.29 ((~(v104(constB70) <=> v1(constB69))) | (~v104(constB70)) | v1(constB69)),
% 7.30/5.29 inference(tautology,[status(thm)],[])).
% 7.30/5.29 tff(8897,plain,
% 7.30/5.29 ((~(v104(constB70) <=> v1(constB69))) | (~v104(constB70))),
% 7.30/5.29 inference(unit_resolution,[status(thm)],[8896, 969])).
% 7.30/5.29 tff(8898,plain,
% 7.30/5.29 (~v104(constB70)),
% 7.30/5.29 inference(unit_resolution,[status(thm)],[8897, 8895])).
% 7.30/5.29 tff(8899,plain,
% 7.30/5.29 ((~((~v102(constB70)) <=> v104(constB70))) | v102(constB70) | v104(constB70)),
% 7.30/5.29 inference(tautology,[status(thm)],[])).
% 7.30/5.29 tff(8900,plain,
% 7.30/5.29 (v102(constB70)),
% 7.30/5.29 inference(unit_resolution,[status(thm)],[8899, 8898, 8891])).
% 7.30/5.29 tff(8901,plain,
% 7.30/5.29 (v1(constB70) <=> v1(constB70)),
% 7.30/5.29 inference(rewrite,[status(thm)],[])).
% 7.30/5.29 tff(8902,axiom,(v1(constB70)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_70')).
% 7.30/5.29 tff(8903,plain,
% 7.30/5.29 (v1(constB70)),
% 7.30/5.29 inference(modus_ponens,[status(thm)],[8902, 8901])).
% 7.30/5.29 tff(8904,plain,
% 7.30/5.29 ((~((~v1(constB70)) | (~v102(constB70)))) | (~v1(constB70)) | (~v102(constB70))),
% 7.30/5.29 inference(tautology,[status(thm)],[])).
% 7.30/5.29 tff(8905,plain,
% 7.30/5.29 ((~((~v1(constB70)) | (~v102(constB70)))) | (~v102(constB70))),
% 7.30/5.29 inference(unit_resolution,[status(thm)],[8904, 8903])).
% 7.30/5.29 tff(8906,plain,
% 7.30/5.29 (~((~v1(constB70)) | (~v102(constB70)))),
% 7.30/5.29 inference(unit_resolution,[status(thm)],[8905, 8900])).
% 7.30/5.29 tff(8907,plain,
% 7.30/5.29 ((~(v101(constB70) <=> (~((~v1(constB70)) | (~v102(constB70)))))) | v101(constB70) | ((~v1(constB70)) | (~v102(constB70)))),
% 7.30/5.29 inference(tautology,[status(thm)],[])).
% 7.30/5.29 tff(8908,plain,
% 7.30/5.29 (v101(constB70)),
% 7.30/5.29 inference(unit_resolution,[status(thm)],[8907, 8906, 8887])).
% 7.30/5.29 tff(8909,plain,
% 7.30/5.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB69, constB70)) | (v110(constB70) <=> v108(constB69)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB69, constB70)) | (v110(constB70) <=> v108(constB69)))),
% 7.30/5.29 inference(rewrite,[status(thm)],[])).
% 7.30/5.29 tff(8910,plain,
% 7.30/5.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB69, constB70)) | (v110(constB70) <=> v108(constB69)))),
% 7.30/5.29 inference(quant_inst,[status(thm)],[])).
% 7.30/5.29 tff(8911,plain,
% 7.30/5.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB69, constB70)) | (v110(constB70) <=> v108(constB69))),
% 7.30/5.29 inference(modus_ponens,[status(thm)],[8910, 8909])).
% 7.30/5.29 tff(8912,plain,
% 7.30/5.29 (v110(constB70) <=> v108(constB69)),
% 7.30/5.29 inference(unit_resolution,[status(thm)],[8911, 925, 3285])).
% 7.30/5.29 tff(8913,plain,
% 7.30/5.29 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB69) <=> (v111(constB69) | v112(constB69)))),
% 7.30/5.29 inference(quant_inst,[status(thm)],[])).
% 7.30/5.29 tff(8914,plain,
% 7.30/5.29 (v108(constB69) <=> (v111(constB69) | v112(constB69))),
% 7.30/5.29 inference(unit_resolution,[status(thm)],[8913, 3296])).
% 7.30/5.29 tff(8915,plain,
% 7.30/5.29 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB69) <=> (~((~v113(constB69)) | (~v126(constB69)))))),
% 7.30/5.29 inference(quant_inst,[status(thm)],[])).
% 7.30/5.29 tff(8916,plain,
% 7.30/5.29 (v112(constB69) <=> (~((~v113(constB69)) | (~v126(constB69))))),
% 7.30/5.29 inference(unit_resolution,[status(thm)],[8915, 3308])).
% 7.30/5.29 tff(8917,plain,
% 7.30/5.29 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB69) <=> (v114(constB69) | v125(constB69)))),
% 7.30/5.29 inference(quant_inst,[status(thm)],[])).
% 7.30/5.29 tff(8918,plain,
% 7.30/5.29 (v113(constB69) <=> (v114(constB69) | v125(constB69))),
% 7.30/5.29 inference(unit_resolution,[status(thm)],[8917, 3317])).
% 7.30/5.29 tff(8919,plain,
% 7.30/5.29 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB69) <=> (v115(constB69) | v124(constB69)))),
% 7.30/5.29 inference(quant_inst,[status(thm)],[])).
% 7.30/5.29 tff(8920,plain,
% 7.30/5.29 (v114(constB69) <=> (v115(constB69) | v124(constB69))),
% 7.30/5.29 inference(unit_resolution,[status(thm)],[8919, 3326])).
% 7.30/5.29 tff(8921,plain,
% 7.30/5.29 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB69) <=> (v116(constB69) | v123(constB69)))),
% 7.30/5.29 inference(quant_inst,[status(thm)],[])).
% 7.30/5.29 tff(8922,plain,
% 7.30/5.29 (v115(constB69) <=> (v116(constB69) | v123(constB69))),
% 7.30/5.29 inference(unit_resolution,[status(thm)],[8921, 3335])).
% 7.30/5.29 tff(8923,plain,
% 7.30/5.29 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB69) <=> (v117(constB69) | v122(constB69)))),
% 7.30/5.29 inference(quant_inst,[status(thm)],[])).
% 7.30/5.29 tff(8924,plain,
% 7.30/5.29 (v116(constB69) <=> (v117(constB69) | v122(constB69))),
% 7.30/5.29 inference(unit_resolution,[status(thm)],[8923, 3344])).
% 7.30/5.29 tff(8925,plain,
% 7.30/5.29 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB69) <=> (v118(constB69) | v121(constB69)))),
% 7.30/5.29 inference(quant_inst,[status(thm)],[])).
% 7.30/5.29 tff(8926,plain,
% 7.30/5.29 (v117(constB69) <=> (v118(constB69) | v121(constB69))),
% 7.30/5.29 inference(unit_resolution,[status(thm)],[8925, 3353])).
% 7.30/5.29 tff(8927,plain,
% 7.30/5.29 ((v118(constB69) | v121(constB69)) | (~v121(constB69))),
% 7.30/5.29 inference(tautology,[status(thm)],[])).
% 7.30/5.29 tff(8928,plain,
% 7.30/5.29 (v118(constB69) | v121(constB69)),
% 7.30/5.29 inference(unit_resolution,[status(thm)],[8927, 8865])).
% 7.30/5.29 tff(8929,plain,
% 7.30/5.29 ((~(v117(constB69) <=> (v118(constB69) | v121(constB69)))) | v117(constB69) | (~(v118(constB69) | v121(constB69)))),
% 7.30/5.29 inference(tautology,[status(thm)],[])).
% 7.30/5.29 tff(8930,plain,
% 7.30/5.29 (v117(constB69)),
% 7.30/5.29 inference(unit_resolution,[status(thm)],[8929, 8928, 8926])).
% 7.30/5.29 tff(8931,plain,
% 7.30/5.29 ((v117(constB69) | v122(constB69)) | (~v117(constB69))),
% 7.30/5.29 inference(tautology,[status(thm)],[])).
% 7.30/5.29 tff(8932,plain,
% 7.30/5.29 (v117(constB69) | v122(constB69)),
% 7.30/5.29 inference(unit_resolution,[status(thm)],[8931, 8930])).
% 7.30/5.29 tff(8933,plain,
% 7.30/5.29 ((~(v116(constB69) <=> (v117(constB69) | v122(constB69)))) | v116(constB69) | (~(v117(constB69) | v122(constB69)))),
% 7.30/5.29 inference(tautology,[status(thm)],[])).
% 7.30/5.29 tff(8934,plain,
% 7.30/5.29 (v116(constB69)),
% 7.30/5.29 inference(unit_resolution,[status(thm)],[8933, 8932, 8924])).
% 7.30/5.29 tff(8935,plain,
% 7.30/5.29 ((v116(constB69) | v123(constB69)) | (~v116(constB69))),
% 7.30/5.29 inference(tautology,[status(thm)],[])).
% 7.30/5.29 tff(8936,plain,
% 7.30/5.29 (v116(constB69) | v123(constB69)),
% 7.30/5.29 inference(unit_resolution,[status(thm)],[8935, 8934])).
% 7.30/5.29 tff(8937,plain,
% 7.30/5.29 ((~(v115(constB69) <=> (v116(constB69) | v123(constB69)))) | v115(constB69) | (~(v116(constB69) | v123(constB69)))),
% 7.30/5.29 inference(tautology,[status(thm)],[])).
% 7.30/5.29 tff(8938,plain,
% 7.30/5.29 (v115(constB69)),
% 7.30/5.29 inference(unit_resolution,[status(thm)],[8937, 8936, 8922])).
% 7.30/5.29 tff(8939,plain,
% 7.30/5.29 ((v115(constB69) | v124(constB69)) | (~v115(constB69))),
% 7.30/5.29 inference(tautology,[status(thm)],[])).
% 7.30/5.29 tff(8940,plain,
% 7.30/5.29 (v115(constB69) | v124(constB69)),
% 7.30/5.29 inference(unit_resolution,[status(thm)],[8939, 8938])).
% 7.30/5.29 tff(8941,plain,
% 7.30/5.29 ((~(v114(constB69) <=> (v115(constB69) | v124(constB69)))) | v114(constB69) | (~(v115(constB69) | v124(constB69)))),
% 7.30/5.29 inference(tautology,[status(thm)],[])).
% 7.30/5.29 tff(8942,plain,
% 7.30/5.29 (v114(constB69)),
% 7.30/5.29 inference(unit_resolution,[status(thm)],[8941, 8940, 8920])).
% 7.30/5.29 tff(8943,plain,
% 7.30/5.29 ((v114(constB69) | v125(constB69)) | (~v114(constB69))),
% 7.30/5.29 inference(tautology,[status(thm)],[])).
% 7.30/5.29 tff(8944,plain,
% 7.30/5.29 (v114(constB69) | v125(constB69)),
% 7.30/5.29 inference(unit_resolution,[status(thm)],[8943, 8942])).
% 7.30/5.29 tff(8945,plain,
% 7.30/5.29 ((~(v113(constB69) <=> (v114(constB69) | v125(constB69)))) | v113(constB69) | (~(v114(constB69) | v125(constB69)))),
% 7.30/5.29 inference(tautology,[status(thm)],[])).
% 7.30/5.29 tff(8946,plain,
% 7.30/5.29 (v113(constB69)),
% 7.30/5.29 inference(unit_resolution,[status(thm)],[8945, 8944, 8918])).
% 7.30/5.29 tff(8947,plain,
% 7.30/5.29 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB69)) <=> v111(constB69))),
% 7.30/5.29 inference(quant_inst,[status(thm)],[])).
% 7.30/5.29 tff(8948,plain,
% 7.30/5.29 ((~v126(constB69)) <=> v111(constB69)),
% 7.30/5.29 inference(unit_resolution,[status(thm)],[8947, 3396])).
% 7.30/5.30 tff(8949,plain,
% 7.30/5.30 ((~((~v126(constB69)) <=> v111(constB69))) | v126(constB69) | v111(constB69)),
% 7.30/5.30 inference(tautology,[status(thm)],[])).
% 7.30/5.30 tff(8950,plain,
% 7.30/5.30 ((~((~v126(constB69)) <=> v111(constB69))) | v126(constB69)),
% 7.30/5.30 inference(unit_resolution,[status(thm)],[8949, 938])).
% 7.30/5.30 tff(8951,plain,
% 7.30/5.30 (v126(constB69)),
% 7.30/5.30 inference(unit_resolution,[status(thm)],[8950, 8948])).
% 7.30/5.30 tff(8952,plain,
% 7.30/5.30 ((~((~v113(constB69)) | (~v126(constB69)))) | (~v113(constB69)) | (~v126(constB69))),
% 7.30/5.30 inference(tautology,[status(thm)],[])).
% 7.30/5.30 tff(8953,plain,
% 7.30/5.30 ((~((~v113(constB69)) | (~v126(constB69)))) | (~v113(constB69))),
% 7.30/5.30 inference(unit_resolution,[status(thm)],[8952, 8951])).
% 7.30/5.30 tff(8954,plain,
% 7.30/5.30 (~((~v113(constB69)) | (~v126(constB69)))),
% 7.30/5.30 inference(unit_resolution,[status(thm)],[8953, 8946])).
% 7.30/5.30 tff(8955,plain,
% 7.30/5.30 ((~(v112(constB69) <=> (~((~v113(constB69)) | (~v126(constB69)))))) | v112(constB69) | ((~v113(constB69)) | (~v126(constB69)))),
% 7.30/5.30 inference(tautology,[status(thm)],[])).
% 7.30/5.30 tff(8956,plain,
% 7.30/5.30 (v112(constB69)),
% 7.30/5.30 inference(unit_resolution,[status(thm)],[8955, 8954, 8916])).
% 7.30/5.30 tff(8957,plain,
% 7.30/5.30 ((v111(constB69) | v112(constB69)) | (~v112(constB69))),
% 7.30/5.30 inference(tautology,[status(thm)],[])).
% 7.30/5.30 tff(8958,plain,
% 7.30/5.30 (v111(constB69) | v112(constB69)),
% 7.30/5.30 inference(unit_resolution,[status(thm)],[8957, 8956])).
% 7.30/5.30 tff(8959,plain,
% 7.30/5.30 ((~(v108(constB69) <=> (v111(constB69) | v112(constB69)))) | v108(constB69) | (~(v111(constB69) | v112(constB69)))),
% 7.30/5.30 inference(tautology,[status(thm)],[])).
% 7.30/5.30 tff(8960,plain,
% 7.30/5.30 (v108(constB69)),
% 7.30/5.30 inference(unit_resolution,[status(thm)],[8959, 8958, 8914])).
% 7.30/5.30 tff(8961,plain,
% 7.30/5.30 ((~(v110(constB70) <=> v108(constB69))) | v110(constB70) | (~v108(constB69))),
% 7.30/5.30 inference(tautology,[status(thm)],[])).
% 7.30/5.30 tff(8962,plain,
% 7.30/5.30 (v110(constB70)),
% 7.30/5.30 inference(unit_resolution,[status(thm)],[8961, 8960, 8912])).
% 7.30/5.30 tff(8963,plain,
% 7.30/5.30 ((~((~v101(constB70)) | (~v110(constB70)))) | (~v101(constB70)) | (~v110(constB70))),
% 7.30/5.30 inference(tautology,[status(thm)],[])).
% 7.30/5.30 tff(8964,plain,
% 7.30/5.30 (~((~v101(constB70)) | (~v110(constB70)))),
% 7.30/5.30 inference(unit_resolution,[status(thm)],[8963, 8962, 8908])).
% 7.30/5.30 tff(8965,plain,
% 7.30/5.30 ((~(v100(constB70) <=> (~((~v101(constB70)) | (~v110(constB70)))))) | v100(constB70) | ((~v101(constB70)) | (~v110(constB70)))),
% 7.30/5.30 inference(tautology,[status(thm)],[])).
% 7.30/5.30 tff(8966,plain,
% 7.30/5.30 (v100(constB70)),
% 7.30/5.30 inference(unit_resolution,[status(thm)],[8965, 8964, 8880])).
% 7.30/5.30 tff(8967,plain,
% 7.30/5.30 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB70)) | (~(((~v90(constB70, bitIndex0)) <=> v129(constB70, bitIndex0)) | ((~v90(constB70, bitIndex2)) <=> v129(constB70, bitIndex2)) | ((~v90(constB70, bitIndex1)) <=> v129(constB70, bitIndex1)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB70)) | (~(((~v90(constB70, bitIndex0)) <=> v129(constB70, bitIndex0)) | ((~v90(constB70, bitIndex2)) <=> v129(constB70, bitIndex2)) | ((~v90(constB70, bitIndex1)) <=> v129(constB70, bitIndex1)))))),
% 7.30/5.30 inference(rewrite,[status(thm)],[])).
% 7.30/5.30 tff(8968,plain,
% 7.30/5.30 (((~v100(constB70)) | (~(((~v90(constB70, bitIndex2)) <=> v129(constB70, bitIndex2)) | ((~v90(constB70, bitIndex1)) <=> v129(constB70, bitIndex1)) | ((~v90(constB70, bitIndex0)) <=> v129(constB70, bitIndex0))))) <=> ((~v100(constB70)) | (~(((~v90(constB70, bitIndex0)) <=> v129(constB70, bitIndex0)) | ((~v90(constB70, bitIndex2)) <=> v129(constB70, bitIndex2)) | ((~v90(constB70, bitIndex1)) <=> v129(constB70, bitIndex1)))))),
% 7.30/5.30 inference(rewrite,[status(thm)],[])).
% 7.30/5.30 tff(8969,plain,
% 7.30/5.30 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB70)) | (~(((~v90(constB70, bitIndex2)) <=> v129(constB70, bitIndex2)) | ((~v90(constB70, bitIndex1)) <=> v129(constB70, bitIndex1)) | ((~v90(constB70, bitIndex0)) <=> v129(constB70, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB70)) | (~(((~v90(constB70, bitIndex0)) <=> v129(constB70, bitIndex0)) | ((~v90(constB70, bitIndex2)) <=> v129(constB70, bitIndex2)) | ((~v90(constB70, bitIndex1)) <=> v129(constB70, bitIndex1))))))),
% 7.30/5.30 inference(monotonicity,[status(thm)],[8968])).
% 7.30/5.30 tff(8970,plain,
% 7.30/5.30 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB70)) | (~(((~v90(constB70, bitIndex2)) <=> v129(constB70, bitIndex2)) | ((~v90(constB70, bitIndex1)) <=> v129(constB70, bitIndex1)) | ((~v90(constB70, bitIndex0)) <=> v129(constB70, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB70)) | (~(((~v90(constB70, bitIndex0)) <=> v129(constB70, bitIndex0)) | ((~v90(constB70, bitIndex2)) <=> v129(constB70, bitIndex2)) | ((~v90(constB70, bitIndex1)) <=> v129(constB70, bitIndex1)))))),
% 7.30/5.30 inference(transitivity,[status(thm)],[8969, 8967])).
% 7.30/5.30 tff(8971,plain,
% 7.30/5.30 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB70)) | (~(((~v90(constB70, bitIndex2)) <=> v129(constB70, bitIndex2)) | ((~v90(constB70, bitIndex1)) <=> v129(constB70, bitIndex1)) | ((~v90(constB70, bitIndex0)) <=> v129(constB70, bitIndex0)))))),
% 7.30/5.30 inference(quant_inst,[status(thm)],[])).
% 7.30/5.30 tff(8972,plain,
% 7.30/5.30 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB70)) | (~(((~v90(constB70, bitIndex0)) <=> v129(constB70, bitIndex0)) | ((~v90(constB70, bitIndex2)) <=> v129(constB70, bitIndex2)) | ((~v90(constB70, bitIndex1)) <=> v129(constB70, bitIndex1))))),
% 7.30/5.30 inference(modus_ponens,[status(thm)],[8971, 8970])).
% 7.30/5.30 tff(8973,plain,
% 7.30/5.30 ((~v100(constB70)) | (~(((~v90(constB70, bitIndex0)) <=> v129(constB70, bitIndex0)) | ((~v90(constB70, bitIndex2)) <=> v129(constB70, bitIndex2)) | ((~v90(constB70, bitIndex1)) <=> v129(constB70, bitIndex1))))),
% 7.30/5.30 inference(unit_resolution,[status(thm)],[8972, 3429])).
% 7.30/5.30 tff(8974,plain,
% 7.30/5.30 (~(((~v90(constB70, bitIndex0)) <=> v129(constB70, bitIndex0)) | ((~v90(constB70, bitIndex2)) <=> v129(constB70, bitIndex2)) | ((~v90(constB70, bitIndex1)) <=> v129(constB70, bitIndex1)))),
% 7.30/5.30 inference(unit_resolution,[status(thm)],[8973, 8966])).
% 7.30/5.30 tff(8975,plain,
% 7.30/5.30 ((((~v90(constB70, bitIndex0)) <=> v129(constB70, bitIndex0)) | ((~v90(constB70, bitIndex2)) <=> v129(constB70, bitIndex2)) | ((~v90(constB70, bitIndex1)) <=> v129(constB70, bitIndex1))) | (~((~v90(constB70, bitIndex2)) <=> v129(constB70, bitIndex2)))),
% 7.30/5.30 inference(tautology,[status(thm)],[])).
% 7.30/5.30 tff(8976,plain,
% 7.30/5.30 (~((~v90(constB70, bitIndex2)) <=> v129(constB70, bitIndex2))),
% 7.30/5.30 inference(unit_resolution,[status(thm)],[8975, 8974])).
% 7.30/5.30 tff(8977,plain,
% 7.30/5.30 (((~v90(constB70, bitIndex2)) <=> v129(constB70, bitIndex2)) | (~v90(constB70, bitIndex2)) | v129(constB70, bitIndex2)),
% 7.30/5.30 inference(tautology,[status(thm)],[])).
% 7.30/5.30 tff(8978,plain,
% 7.30/5.30 (~v90(constB70, bitIndex2)),
% 7.30/5.30 inference(unit_resolution,[status(thm)],[8977, 8976, 8876])).
% 7.30/5.30 tff(8979,plain,
% 7.30/5.30 (((~v90(constB71, bitIndex2)) <=> v90(constB70, bitIndex2)) | (~v90(constB71, bitIndex2)) | v90(constB70, bitIndex2)),
% 7.30/5.30 inference(tautology,[status(thm)],[])).
% 7.30/5.30 tff(8980,plain,
% 7.30/5.30 (~v90(constB71, bitIndex2)),
% 7.30/5.30 inference(unit_resolution,[status(thm)],[8979, 8978, 922])).
% 7.30/5.30 tff(8981,plain,
% 7.30/5.30 ((((~v90(constB71, bitIndex1)) <=> v90(constB70, bitIndex1)) | ((~v90(constB71, bitIndex2)) <=> v90(constB70, bitIndex2)) | ((~v90(constB71, bitIndex0)) <=> v90(constB70, bitIndex0))) | (~((~v90(constB71, bitIndex0)) <=> v90(constB70, bitIndex0)))),
% 7.30/5.30 inference(tautology,[status(thm)],[])).
% 7.30/5.30 tff(8982,plain,
% 7.30/5.30 (~((~v90(constB71, bitIndex0)) <=> v90(constB70, bitIndex0))),
% 7.30/5.30 inference(unit_resolution,[status(thm)],[8981, 920])).
% 7.30/5.30 tff(8983,plain,
% 7.30/5.30 ((((~v129(constB70, bitIndex2)) <=> v127(constB69, bitIndex2)) | ((~v129(constB70, bitIndex1)) <=> v127(constB69, bitIndex1)) | ((~v129(constB70, bitIndex0)) <=> v127(constB69, bitIndex0))) | (~((~v129(constB70, bitIndex0)) <=> v127(constB69, bitIndex0)))),
% 7.30/5.30 inference(tautology,[status(thm)],[])).
% 7.30/5.30 tff(8984,plain,
% 7.30/5.30 (~((~v129(constB70, bitIndex0)) <=> v127(constB69, bitIndex0))),
% 7.30/5.30 inference(unit_resolution,[status(thm)],[8983, 929])).
% 7.30/5.30 tff(8985,plain,
% 7.30/5.30 ((((~v127(constB69, bitIndex2)) <=> v130(constB69, bitIndex2)) | ((~v127(constB69, bitIndex1)) <=> v130(constB69, bitIndex1)) | ((~v127(constB69, bitIndex0)) <=> v130(constB69, bitIndex0))) | (~((~v127(constB69, bitIndex0)) <=> v130(constB69, bitIndex0)))),
% 7.30/5.30 inference(tautology,[status(thm)],[])).
% 7.30/5.30 tff(8986,plain,
% 7.30/5.30 (~((~v127(constB69, bitIndex0)) <=> v130(constB69, bitIndex0))),
% 7.30/5.30 inference(unit_resolution,[status(thm)],[8985, 943])).
% 7.30/5.30 tff(8987,plain,
% 7.30/5.30 ((v130(constB69, bitIndex2) | (~v130(constB69, bitIndex1)) | (~v130(constB69, bitIndex0))) | v130(constB69, bitIndex0)),
% 7.30/5.30 inference(tautology,[status(thm)],[])).
% 7.30/5.30 tff(8988,plain,
% 7.30/5.30 (v130(constB69, bitIndex0)),
% 7.30/5.30 inference(unit_resolution,[status(thm)],[8987, 8870])).
% 7.30/5.30 tff(8989,plain,
% 7.30/5.30 (((~v127(constB69, bitIndex0)) <=> v130(constB69, bitIndex0)) | v127(constB69, bitIndex0) | (~v130(constB69, bitIndex0))),
% 7.30/5.30 inference(tautology,[status(thm)],[])).
% 7.30/5.30 tff(8990,plain,
% 7.30/5.30 (v127(constB69, bitIndex0)),
% 7.30/5.30 inference(unit_resolution,[status(thm)],[8989, 8988, 8986])).
% 7.30/5.30 tff(8991,plain,
% 7.30/5.30 (((~v129(constB70, bitIndex0)) <=> v127(constB69, bitIndex0)) | v129(constB70, bitIndex0) | (~v127(constB69, bitIndex0))),
% 7.30/5.30 inference(tautology,[status(thm)],[])).
% 7.30/5.30 tff(8992,plain,
% 7.30/5.30 (v129(constB70, bitIndex0)),
% 7.30/5.30 inference(unit_resolution,[status(thm)],[8991, 8990, 8984])).
% 7.30/5.30 tff(8993,plain,
% 7.30/5.30 ((((~v90(constB70, bitIndex0)) <=> v129(constB70, bitIndex0)) | ((~v90(constB70, bitIndex2)) <=> v129(constB70, bitIndex2)) | ((~v90(constB70, bitIndex1)) <=> v129(constB70, bitIndex1))) | (~((~v90(constB70, bitIndex0)) <=> v129(constB70, bitIndex0)))),
% 7.30/5.30 inference(tautology,[status(thm)],[])).
% 7.30/5.30 tff(8994,plain,
% 7.30/5.30 (~((~v90(constB70, bitIndex0)) <=> v129(constB70, bitIndex0))),
% 7.30/5.30 inference(unit_resolution,[status(thm)],[8993, 8974])).
% 7.30/5.30 tff(8995,plain,
% 7.30/5.30 (((~v90(constB70, bitIndex0)) <=> v129(constB70, bitIndex0)) | v90(constB70, bitIndex0) | (~v129(constB70, bitIndex0))),
% 7.30/5.30 inference(tautology,[status(thm)],[])).
% 7.30/5.30 tff(8996,plain,
% 7.30/5.30 (v90(constB70, bitIndex0)),
% 7.30/5.30 inference(unit_resolution,[status(thm)],[8995, 8994, 8992])).
% 7.30/5.30 tff(8997,plain,
% 7.30/5.30 (((~v90(constB71, bitIndex0)) <=> v90(constB70, bitIndex0)) | v90(constB71, bitIndex0) | (~v90(constB70, bitIndex0))),
% 7.30/5.30 inference(tautology,[status(thm)],[])).
% 7.30/5.30 tff(8998,plain,
% 7.30/5.30 (v90(constB71, bitIndex0)),
% 7.30/5.30 inference(unit_resolution,[status(thm)],[8997, 8996, 8982])).
% 7.30/5.30 tff(8999,plain,
% 7.30/5.30 ((((~v90(constB71, bitIndex1)) <=> v90(constB70, bitIndex1)) | ((~v90(constB71, bitIndex2)) <=> v90(constB70, bitIndex2)) | ((~v90(constB71, bitIndex0)) <=> v90(constB70, bitIndex0))) | (~((~v90(constB71, bitIndex1)) <=> v90(constB70, bitIndex1)))),
% 7.30/5.30 inference(tautology,[status(thm)],[])).
% 7.30/5.30 tff(9000,plain,
% 7.30/5.30 (~((~v90(constB71, bitIndex1)) <=> v90(constB70, bitIndex1))),
% 7.30/5.30 inference(unit_resolution,[status(thm)],[8999, 920])).
% 7.30/5.30 tff(9001,plain,
% 7.30/5.30 ((((~v129(constB70, bitIndex2)) <=> v127(constB69, bitIndex2)) | ((~v129(constB70, bitIndex1)) <=> v127(constB69, bitIndex1)) | ((~v129(constB70, bitIndex0)) <=> v127(constB69, bitIndex0))) | (~((~v129(constB70, bitIndex1)) <=> v127(constB69, bitIndex1)))),
% 7.30/5.30 inference(tautology,[status(thm)],[])).
% 7.30/5.30 tff(9002,plain,
% 7.30/5.30 (~((~v129(constB70, bitIndex1)) <=> v127(constB69, bitIndex1))),
% 7.30/5.30 inference(unit_resolution,[status(thm)],[9001, 929])).
% 7.30/5.30 tff(9003,plain,
% 7.30/5.30 ((((~v127(constB69, bitIndex2)) <=> v130(constB69, bitIndex2)) | ((~v127(constB69, bitIndex1)) <=> v130(constB69, bitIndex1)) | ((~v127(constB69, bitIndex0)) <=> v130(constB69, bitIndex0))) | (~((~v127(constB69, bitIndex1)) <=> v130(constB69, bitIndex1)))),
% 7.30/5.30 inference(tautology,[status(thm)],[])).
% 7.30/5.30 tff(9004,plain,
% 7.30/5.30 (~((~v127(constB69, bitIndex1)) <=> v130(constB69, bitIndex1))),
% 7.30/5.30 inference(unit_resolution,[status(thm)],[9003, 943])).
% 7.30/5.30 tff(9005,plain,
% 7.30/5.30 ((v130(constB69, bitIndex2) | (~v130(constB69, bitIndex1)) | (~v130(constB69, bitIndex0))) | v130(constB69, bitIndex1)),
% 7.30/5.30 inference(tautology,[status(thm)],[])).
% 7.30/5.30 tff(9006,plain,
% 7.30/5.30 (v130(constB69, bitIndex1)),
% 7.30/5.30 inference(unit_resolution,[status(thm)],[9005, 8870])).
% 7.30/5.30 tff(9007,plain,
% 7.30/5.30 (((~v127(constB69, bitIndex1)) <=> v130(constB69, bitIndex1)) | v127(constB69, bitIndex1) | (~v130(constB69, bitIndex1))),
% 7.30/5.30 inference(tautology,[status(thm)],[])).
% 7.30/5.30 tff(9008,plain,
% 7.30/5.30 (v127(constB69, bitIndex1)),
% 7.30/5.30 inference(unit_resolution,[status(thm)],[9007, 9006, 9004])).
% 7.30/5.30 tff(9009,plain,
% 7.30/5.30 (((~v129(constB70, bitIndex1)) <=> v127(constB69, bitIndex1)) | v129(constB70, bitIndex1) | (~v127(constB69, bitIndex1))),
% 7.30/5.30 inference(tautology,[status(thm)],[])).
% 7.30/5.30 tff(9010,plain,
% 7.30/5.30 (v129(constB70, bitIndex1)),
% 7.30/5.30 inference(unit_resolution,[status(thm)],[9009, 9008, 9002])).
% 7.30/5.30 tff(9011,plain,
% 7.30/5.30 ((((~v90(constB70, bitIndex0)) <=> v129(constB70, bitIndex0)) | ((~v90(constB70, bitIndex2)) <=> v129(constB70, bitIndex2)) | ((~v90(constB70, bitIndex1)) <=> v129(constB70, bitIndex1))) | (~((~v90(constB70, bitIndex1)) <=> v129(constB70, bitIndex1)))),
% 7.30/5.30 inference(tautology,[status(thm)],[])).
% 7.30/5.30 tff(9012,plain,
% 7.30/5.30 (~((~v90(constB70, bitIndex1)) <=> v129(constB70, bitIndex1))),
% 7.30/5.30 inference(unit_resolution,[status(thm)],[9011, 8974])).
% 7.30/5.30 tff(9013,plain,
% 7.30/5.30 (((~v90(constB70, bitIndex1)) <=> v129(constB70, bitIndex1)) | v90(constB70, bitIndex1) | (~v129(constB70, bitIndex1))),
% 7.30/5.30 inference(tautology,[status(thm)],[])).
% 7.30/5.30 tff(9014,plain,
% 7.30/5.30 (v90(constB70, bitIndex1)),
% 7.30/5.30 inference(unit_resolution,[status(thm)],[9013, 9012, 9010])).
% 7.30/5.30 tff(9015,plain,
% 7.30/5.30 (((~v90(constB71, bitIndex1)) <=> v90(constB70, bitIndex1)) | v90(constB71, bitIndex1) | (~v90(constB70, bitIndex1))),
% 7.30/5.30 inference(tautology,[status(thm)],[])).
% 7.30/5.30 tff(9016,plain,
% 7.30/5.30 (v90(constB71, bitIndex1)),
% 7.30/5.30 inference(unit_resolution,[status(thm)],[9015, 9014, 9000])).
% 7.30/5.30 tff(9017,plain,
% 7.30/5.30 ((~(v90(constB71, bitIndex2) | (~v90(constB71, bitIndex1)) | (~v90(constB71, bitIndex0)))) | v90(constB71, bitIndex2) | (~v90(constB71, bitIndex1)) | (~v90(constB71, bitIndex0))),
% 7.30/5.30 inference(tautology,[status(thm)],[])).
% 7.30/5.30 tff(9018,plain,
% 7.30/5.30 (~(v90(constB71, bitIndex2) | (~v90(constB71, bitIndex1)) | (~v90(constB71, bitIndex0)))),
% 7.30/5.30 inference(unit_resolution,[status(thm)],[9017, 9016, 8998, 8980])).
% 7.30/5.30 tff(9019,plain,
% 7.30/5.30 ((~(v122(constB71) <=> (~(v90(constB71, bitIndex2) | (~v90(constB71, bitIndex1)) | (~v90(constB71, bitIndex0)))))) | v122(constB71) | (v90(constB71, bitIndex2) | (~v90(constB71, bitIndex1)) | (~v90(constB71, bitIndex0)))),
% 7.30/5.30 inference(tautology,[status(thm)],[])).
% 7.30/5.30 tff(9020,plain,
% 7.30/5.30 (v122(constB71)),
% 7.30/5.30 inference(unit_resolution,[status(thm)],[9019, 9018, 886])).
% 7.30/5.30 tff(9021,plain,
% 7.30/5.30 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB71)) | (~(v130(constB71, bitIndex1) | v130(constB71, bitIndex0) | (~v130(constB71, bitIndex2)))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | (~v122(constB71)) | (~(v130(constB71, bitIndex1) | v130(constB71, bitIndex0) | (~v130(constB71, bitIndex2)))))),
% 7.30/5.30 inference(rewrite,[status(thm)],[])).
% 7.30/5.30 tff(9022,plain,
% 7.30/5.30 (((~v122(constB71)) | (~(v130(constB71, bitIndex0) | v130(constB71, bitIndex1) | (~v130(constB71, bitIndex2))))) <=> ((~v122(constB71)) | (~(v130(constB71, bitIndex1) | v130(constB71, bitIndex0) | (~v130(constB71, bitIndex2)))))),
% 7.30/5.30 inference(rewrite,[status(thm)],[])).
% 7.30/5.30 tff(9023,plain,
% 7.30/5.30 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB71)) | (~(v130(constB71, bitIndex0) | v130(constB71, bitIndex1) | (~v130(constB71, bitIndex2)))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB71)) | (~(v130(constB71, bitIndex1) | v130(constB71, bitIndex0) | (~v130(constB71, bitIndex2))))))),
% 7.30/5.30 inference(monotonicity,[status(thm)],[9022])).
% 7.30/5.30 tff(9024,plain,
% 7.30/5.30 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB71)) | (~(v130(constB71, bitIndex0) | v130(constB71, bitIndex1) | (~v130(constB71, bitIndex2)))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | (~v122(constB71)) | (~(v130(constB71, bitIndex1) | v130(constB71, bitIndex0) | (~v130(constB71, bitIndex2)))))),
% 7.30/5.30 inference(transitivity,[status(thm)],[9023, 9021])).
% 7.30/5.30 tff(9025,plain,
% 7.30/5.30 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB71)) | (~(v130(constB71, bitIndex0) | v130(constB71, bitIndex1) | (~v130(constB71, bitIndex2)))))),
% 7.30/5.30 inference(quant_inst,[status(thm)],[])).
% 7.30/5.30 tff(9026,plain,
% 7.30/5.30 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | (~v122(constB71)) | (~(v130(constB71, bitIndex1) | v130(constB71, bitIndex0) | (~v130(constB71, bitIndex2))))),
% 7.30/5.30 inference(modus_ponens,[status(thm)],[9025, 9024])).
% 7.30/5.30 tff(9027,plain,
% 7.30/5.30 ((~v122(constB71)) | (~(v130(constB71, bitIndex1) | v130(constB71, bitIndex0) | (~v130(constB71, bitIndex2))))),
% 7.30/5.30 inference(unit_resolution,[status(thm)],[9026, 4223])).
% 7.30/5.30 tff(9028,plain,
% 7.30/5.30 (~(v130(constB71, bitIndex1) | v130(constB71, bitIndex0) | (~v130(constB71, bitIndex2)))),
% 7.30/5.30 inference(unit_resolution,[status(thm)],[9027, 9020])).
% 7.30/5.30 tff(9029,plain,
% 7.30/5.30 ((v130(constB71, bitIndex1) | v130(constB71, bitIndex0) | (~v130(constB71, bitIndex2))) | v130(constB71, bitIndex2)),
% 7.30/5.30 inference(tautology,[status(thm)],[])).
% 7.30/5.30 tff(9030,plain,
% 7.30/5.30 (v130(constB71, bitIndex2)),
% 7.30/5.30 inference(unit_resolution,[status(thm)],[9029, 9028])).
% 7.30/5.30 tff(9031,plain,
% 7.30/5.30 (((~v127(constB71, bitIndex2)) <=> v130(constB71, bitIndex2)) | v127(constB71, bitIndex2) | (~v130(constB71, bitIndex2))),
% 7.30/5.30 inference(tautology,[status(thm)],[])).
% 7.30/5.30 tff(9032,plain,
% 7.30/5.30 (v127(constB71, bitIndex2)),
% 7.30/5.30 inference(unit_resolution,[status(thm)],[9031, 9030, 866])).
% 7.30/5.30 tff(9033,plain,
% 7.30/5.30 (((~v129(constB72, bitIndex2)) <=> v127(constB71, bitIndex2)) | v129(constB72, bitIndex2) | (~v127(constB71, bitIndex2))),
% 7.30/5.30 inference(tautology,[status(thm)],[])).
% 7.30/5.30 tff(9034,plain,
% 7.30/5.30 (v129(constB72, bitIndex2)),
% 7.30/5.30 inference(unit_resolution,[status(thm)],[9033, 9032, 852])).
% 7.30/5.30 tff(9035,plain,
% 7.30/5.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB71, constB72)) | (v100(constB72) <=> (~((~v101(constB72)) | (~v110(constB72))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB71, constB72)) | (v100(constB72) <=> (~((~v101(constB72)) | (~v110(constB72))))))),
% 7.30/5.30 inference(rewrite,[status(thm)],[])).
% 7.30/5.30 tff(9036,plain,
% 7.30/5.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB71, constB72)) | (v100(constB72) <=> (~((~v101(constB72)) | (~v110(constB72))))))),
% 7.30/5.30 inference(quant_inst,[status(thm)],[])).
% 7.30/5.30 tff(9037,plain,
% 7.30/5.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB71, constB72)) | (v100(constB72) <=> (~((~v101(constB72)) | (~v110(constB72)))))),
% 7.30/5.30 inference(modus_ponens,[status(thm)],[9036, 9035])).
% 7.30/5.30 tff(9038,plain,
% 7.30/5.30 (v100(constB72) <=> (~((~v101(constB72)) | (~v110(constB72))))),
% 7.30/5.30 inference(unit_resolution,[status(thm)],[9037, 846, 445])).
% 7.30/5.30 tff(9039,plain,
% 7.30/5.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB71, constB72)) | (v101(constB72) <=> (~((~v1(constB72)) | (~v102(constB72))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB71, constB72)) | (v101(constB72) <=> (~((~v1(constB72)) | (~v102(constB72))))))),
% 7.30/5.30 inference(rewrite,[status(thm)],[])).
% 7.30/5.30 tff(9040,plain,
% 7.30/5.30 (((~nextState(constB71, constB72)) | (v101(constB72) <=> (~((~v102(constB72)) | (~v1(constB72)))))) <=> ((~nextState(constB71, constB72)) | (v101(constB72) <=> (~((~v1(constB72)) | (~v102(constB72))))))),
% 7.30/5.30 inference(rewrite,[status(thm)],[])).
% 7.30/5.30 tff(9041,plain,
% 7.30/5.30 (((~![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) <=> (~((~v1(constB72)) | (~v102(constB72)))))))),
% 7.30/5.30 inference(monotonicity,[status(thm)],[9040])).
% 7.30/5.30 tff(9042,plain,
% 7.30/5.30 (((~![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) <=> (~((~v1(constB72)) | (~v102(constB72))))))),
% 7.30/5.30 inference(transitivity,[status(thm)],[9041, 9039])).
% 7.30/5.30 tff(9043,plain,
% 7.30/5.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB71, constB72)) | (v101(constB72) <=> (~((~v102(constB72)) | (~v1(constB72))))))),
% 7.30/5.30 inference(quant_inst,[status(thm)],[])).
% 7.30/5.30 tff(9044,plain,
% 7.30/5.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB71, constB72)) | (v101(constB72) <=> (~((~v1(constB72)) | (~v102(constB72)))))),
% 7.30/5.30 inference(modus_ponens,[status(thm)],[9043, 9042])).
% 7.30/5.30 tff(9045,plain,
% 7.30/5.30 (v101(constB72) <=> (~((~v1(constB72)) | (~v102(constB72))))),
% 7.30/5.30 inference(unit_resolution,[status(thm)],[9044, 846, 465])).
% 7.30/5.30 tff(9046,plain,
% 7.30/5.30 (((~![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)))),
% 7.30/5.30 inference(rewrite,[status(thm)],[])).
% 7.30/5.30 tff(9047,plain,
% 7.30/5.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB71, constB72)) | ((~v102(constB72)) <=> v104(constB72)))),
% 7.30/5.30 inference(quant_inst,[status(thm)],[])).
% 7.30/5.30 tff(9048,plain,
% 7.30/5.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB71, constB72)) | ((~v102(constB72)) <=> v104(constB72))),
% 7.30/5.30 inference(modus_ponens,[status(thm)],[9047, 9046])).
% 7.30/5.30 tff(9049,plain,
% 7.30/5.30 ((~v102(constB72)) <=> v104(constB72)),
% 7.30/5.30 inference(unit_resolution,[status(thm)],[9048, 846, 3244])).
% 7.30/5.30 tff(9050,plain,
% 7.30/5.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB71, constB72)) | (v104(constB72) <=> v1(constB71)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB71, constB72)) | (v104(constB72) <=> v1(constB71)))),
% 7.30/5.30 inference(rewrite,[status(thm)],[])).
% 7.30/5.30 tff(9051,plain,
% 7.30/5.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB71, constB72)) | (v104(constB72) <=> v1(constB71)))),
% 7.30/5.30 inference(quant_inst,[status(thm)],[])).
% 7.30/5.30 tff(9052,plain,
% 7.30/5.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB71, constB72)) | (v104(constB72) <=> v1(constB71))),
% 7.30/5.30 inference(modus_ponens,[status(thm)],[9051, 9050])).
% 7.30/5.30 tff(9053,plain,
% 7.30/5.30 (v104(constB72) <=> v1(constB71)),
% 7.30/5.30 inference(unit_resolution,[status(thm)],[9052, 846, 3258])).
% 7.30/5.30 tff(9054,plain,
% 7.30/5.30 ((~(v104(constB72) <=> v1(constB71))) | (~v104(constB72)) | v1(constB71)),
% 7.30/5.30 inference(tautology,[status(thm)],[])).
% 7.30/5.30 tff(9055,plain,
% 7.30/5.30 ((~(v104(constB72) <=> v1(constB71))) | (~v104(constB72))),
% 7.30/5.30 inference(unit_resolution,[status(thm)],[9054, 903])).
% 7.30/5.30 tff(9056,plain,
% 7.30/5.30 (~v104(constB72)),
% 7.30/5.30 inference(unit_resolution,[status(thm)],[9055, 9053])).
% 7.30/5.30 tff(9057,plain,
% 7.30/5.30 ((~((~v102(constB72)) <=> v104(constB72))) | v102(constB72) | v104(constB72)),
% 7.30/5.30 inference(tautology,[status(thm)],[])).
% 7.30/5.30 tff(9058,plain,
% 7.30/5.30 (v102(constB72)),
% 7.30/5.30 inference(unit_resolution,[status(thm)],[9057, 9056, 9049])).
% 7.30/5.30 tff(9059,plain,
% 7.30/5.30 (v1(constB72) <=> v1(constB72)),
% 7.30/5.30 inference(rewrite,[status(thm)],[])).
% 7.30/5.30 tff(9060,axiom,(v1(constB72)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_72')).
% 7.30/5.30 tff(9061,plain,
% 7.30/5.30 (v1(constB72)),
% 7.30/5.30 inference(modus_ponens,[status(thm)],[9060, 9059])).
% 7.30/5.30 tff(9062,plain,
% 7.30/5.30 ((~((~v1(constB72)) | (~v102(constB72)))) | (~v1(constB72)) | (~v102(constB72))),
% 7.30/5.30 inference(tautology,[status(thm)],[])).
% 7.30/5.30 tff(9063,plain,
% 7.30/5.30 ((~((~v1(constB72)) | (~v102(constB72)))) | (~v102(constB72))),
% 7.30/5.30 inference(unit_resolution,[status(thm)],[9062, 9061])).
% 7.30/5.30 tff(9064,plain,
% 7.30/5.30 (~((~v1(constB72)) | (~v102(constB72)))),
% 7.30/5.30 inference(unit_resolution,[status(thm)],[9063, 9058])).
% 7.30/5.30 tff(9065,plain,
% 7.30/5.30 ((~(v101(constB72) <=> (~((~v1(constB72)) | (~v102(constB72)))))) | v101(constB72) | ((~v1(constB72)) | (~v102(constB72)))),
% 7.30/5.30 inference(tautology,[status(thm)],[])).
% 7.30/5.30 tff(9066,plain,
% 7.30/5.30 (v101(constB72)),
% 7.30/5.30 inference(unit_resolution,[status(thm)],[9065, 9064, 9045])).
% 7.30/5.30 tff(9067,plain,
% 7.30/5.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB71, constB72)) | (v110(constB72) <=> v108(constB71)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB71, constB72)) | (v110(constB72) <=> v108(constB71)))),
% 7.30/5.30 inference(rewrite,[status(thm)],[])).
% 7.30/5.30 tff(9068,plain,
% 7.30/5.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB71, constB72)) | (v110(constB72) <=> v108(constB71)))),
% 7.30/5.30 inference(quant_inst,[status(thm)],[])).
% 7.30/5.30 tff(9069,plain,
% 7.30/5.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB71, constB72)) | (v110(constB72) <=> v108(constB71))),
% 7.30/5.30 inference(modus_ponens,[status(thm)],[9068, 9067])).
% 7.30/5.30 tff(9070,plain,
% 7.30/5.30 (v110(constB72) <=> v108(constB71)),
% 7.30/5.30 inference(unit_resolution,[status(thm)],[9069, 846, 3285])).
% 7.30/5.30 tff(9071,plain,
% 7.30/5.30 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB71) <=> (v111(constB71) | v112(constB71)))),
% 7.30/5.30 inference(quant_inst,[status(thm)],[])).
% 7.30/5.30 tff(9072,plain,
% 7.30/5.30 (v108(constB71) <=> (v111(constB71) | v112(constB71))),
% 7.30/5.30 inference(unit_resolution,[status(thm)],[9071, 3296])).
% 7.30/5.30 tff(9073,plain,
% 7.30/5.30 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB71) <=> (~((~v113(constB71)) | (~v126(constB71)))))),
% 7.30/5.30 inference(quant_inst,[status(thm)],[])).
% 7.30/5.30 tff(9074,plain,
% 7.30/5.30 (v112(constB71) <=> (~((~v113(constB71)) | (~v126(constB71))))),
% 7.30/5.30 inference(unit_resolution,[status(thm)],[9073, 3308])).
% 7.30/5.30 tff(9075,plain,
% 7.30/5.30 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB71) <=> (v114(constB71) | v125(constB71)))),
% 7.30/5.30 inference(quant_inst,[status(thm)],[])).
% 7.30/5.30 tff(9076,plain,
% 7.30/5.30 (v113(constB71) <=> (v114(constB71) | v125(constB71))),
% 7.30/5.30 inference(unit_resolution,[status(thm)],[9075, 3317])).
% 7.30/5.30 tff(9077,plain,
% 7.30/5.30 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB71) <=> (v115(constB71) | v124(constB71)))),
% 7.30/5.30 inference(quant_inst,[status(thm)],[])).
% 7.30/5.30 tff(9078,plain,
% 7.30/5.30 (v114(constB71) <=> (v115(constB71) | v124(constB71))),
% 7.30/5.30 inference(unit_resolution,[status(thm)],[9077, 3326])).
% 7.30/5.30 tff(9079,plain,
% 7.30/5.30 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB71) <=> (v116(constB71) | v123(constB71)))),
% 7.30/5.30 inference(quant_inst,[status(thm)],[])).
% 7.30/5.30 tff(9080,plain,
% 7.30/5.30 (v115(constB71) <=> (v116(constB71) | v123(constB71))),
% 7.30/5.30 inference(unit_resolution,[status(thm)],[9079, 3335])).
% 7.30/5.30 tff(9081,plain,
% 7.30/5.30 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB71) <=> (v117(constB71) | v122(constB71)))),
% 7.30/5.30 inference(quant_inst,[status(thm)],[])).
% 7.30/5.30 tff(9082,plain,
% 7.30/5.30 (v116(constB71) <=> (v117(constB71) | v122(constB71))),
% 7.30/5.30 inference(unit_resolution,[status(thm)],[9081, 3344])).
% 7.30/5.30 tff(9083,plain,
% 7.30/5.30 ((v117(constB71) | v122(constB71)) | (~v122(constB71))),
% 7.30/5.30 inference(tautology,[status(thm)],[])).
% 7.30/5.30 tff(9084,plain,
% 7.30/5.30 (v117(constB71) | v122(constB71)),
% 7.30/5.30 inference(unit_resolution,[status(thm)],[9083, 9020])).
% 7.30/5.30 tff(9085,plain,
% 7.30/5.30 ((~(v116(constB71) <=> (v117(constB71) | v122(constB71)))) | v116(constB71) | (~(v117(constB71) | v122(constB71)))),
% 7.30/5.30 inference(tautology,[status(thm)],[])).
% 7.30/5.30 tff(9086,plain,
% 7.30/5.30 (v116(constB71)),
% 7.30/5.30 inference(unit_resolution,[status(thm)],[9085, 9084, 9082])).
% 7.30/5.30 tff(9087,plain,
% 7.30/5.30 ((v116(constB71) | v123(constB71)) | (~v116(constB71))),
% 7.30/5.30 inference(tautology,[status(thm)],[])).
% 7.30/5.30 tff(9088,plain,
% 7.30/5.30 (v116(constB71) | v123(constB71)),
% 7.30/5.30 inference(unit_resolution,[status(thm)],[9087, 9086])).
% 7.30/5.30 tff(9089,plain,
% 7.30/5.30 ((~(v115(constB71) <=> (v116(constB71) | v123(constB71)))) | v115(constB71) | (~(v116(constB71) | v123(constB71)))),
% 7.30/5.30 inference(tautology,[status(thm)],[])).
% 7.30/5.30 tff(9090,plain,
% 7.30/5.30 (v115(constB71)),
% 7.30/5.30 inference(unit_resolution,[status(thm)],[9089, 9088, 9080])).
% 7.30/5.30 tff(9091,plain,
% 7.30/5.30 ((v115(constB71) | v124(constB71)) | (~v115(constB71))),
% 7.30/5.30 inference(tautology,[status(thm)],[])).
% 7.30/5.30 tff(9092,plain,
% 7.30/5.30 (v115(constB71) | v124(constB71)),
% 7.30/5.30 inference(unit_resolution,[status(thm)],[9091, 9090])).
% 7.30/5.30 tff(9093,plain,
% 7.30/5.30 ((~(v114(constB71) <=> (v115(constB71) | v124(constB71)))) | v114(constB71) | (~(v115(constB71) | v124(constB71)))),
% 7.30/5.30 inference(tautology,[status(thm)],[])).
% 7.30/5.30 tff(9094,plain,
% 7.30/5.30 (v114(constB71)),
% 7.30/5.30 inference(unit_resolution,[status(thm)],[9093, 9092, 9078])).
% 7.30/5.30 tff(9095,plain,
% 7.30/5.30 ((v114(constB71) | v125(constB71)) | (~v114(constB71))),
% 7.30/5.30 inference(tautology,[status(thm)],[])).
% 7.30/5.30 tff(9096,plain,
% 7.30/5.30 (v114(constB71) | v125(constB71)),
% 7.30/5.30 inference(unit_resolution,[status(thm)],[9095, 9094])).
% 7.30/5.30 tff(9097,plain,
% 7.30/5.30 ((~(v113(constB71) <=> (v114(constB71) | v125(constB71)))) | v113(constB71) | (~(v114(constB71) | v125(constB71)))),
% 7.30/5.30 inference(tautology,[status(thm)],[])).
% 7.30/5.30 tff(9098,plain,
% 7.30/5.30 (v113(constB71)),
% 7.30/5.30 inference(unit_resolution,[status(thm)],[9097, 9096, 9076])).
% 7.30/5.30 tff(9099,plain,
% 7.30/5.30 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB71)) <=> v111(constB71))),
% 7.30/5.31 inference(quant_inst,[status(thm)],[])).
% 7.30/5.31 tff(9100,plain,
% 7.30/5.31 ((~v126(constB71)) <=> v111(constB71)),
% 7.30/5.31 inference(unit_resolution,[status(thm)],[9099, 3396])).
% 7.30/5.31 tff(9101,plain,
% 7.30/5.31 ((~((~v126(constB71)) <=> v111(constB71))) | v126(constB71) | v111(constB71)),
% 7.30/5.31 inference(tautology,[status(thm)],[])).
% 7.30/5.31 tff(9102,plain,
% 7.30/5.31 ((~((~v126(constB71)) <=> v111(constB71))) | v126(constB71)),
% 7.30/5.31 inference(unit_resolution,[status(thm)],[9101, 859])).
% 7.30/5.31 tff(9103,plain,
% 7.30/5.31 (v126(constB71)),
% 7.30/5.31 inference(unit_resolution,[status(thm)],[9102, 9100])).
% 7.30/5.31 tff(9104,plain,
% 7.30/5.31 ((~((~v113(constB71)) | (~v126(constB71)))) | (~v113(constB71)) | (~v126(constB71))),
% 7.30/5.31 inference(tautology,[status(thm)],[])).
% 7.30/5.31 tff(9105,plain,
% 7.30/5.31 ((~((~v113(constB71)) | (~v126(constB71)))) | (~v113(constB71))),
% 7.30/5.31 inference(unit_resolution,[status(thm)],[9104, 9103])).
% 7.30/5.31 tff(9106,plain,
% 7.30/5.31 (~((~v113(constB71)) | (~v126(constB71)))),
% 7.30/5.31 inference(unit_resolution,[status(thm)],[9105, 9098])).
% 7.30/5.31 tff(9107,plain,
% 7.30/5.31 ((~(v112(constB71) <=> (~((~v113(constB71)) | (~v126(constB71)))))) | v112(constB71) | ((~v113(constB71)) | (~v126(constB71)))),
% 7.30/5.31 inference(tautology,[status(thm)],[])).
% 7.30/5.31 tff(9108,plain,
% 7.30/5.31 (v112(constB71)),
% 7.30/5.31 inference(unit_resolution,[status(thm)],[9107, 9106, 9074])).
% 7.30/5.31 tff(9109,plain,
% 7.30/5.31 ((v111(constB71) | v112(constB71)) | (~v112(constB71))),
% 7.30/5.31 inference(tautology,[status(thm)],[])).
% 7.30/5.31 tff(9110,plain,
% 7.30/5.31 (v111(constB71) | v112(constB71)),
% 7.30/5.31 inference(unit_resolution,[status(thm)],[9109, 9108])).
% 7.30/5.31 tff(9111,plain,
% 7.30/5.31 ((~(v108(constB71) <=> (v111(constB71) | v112(constB71)))) | v108(constB71) | (~(v111(constB71) | v112(constB71)))),
% 7.30/5.31 inference(tautology,[status(thm)],[])).
% 7.30/5.31 tff(9112,plain,
% 7.30/5.31 (v108(constB71)),
% 7.30/5.31 inference(unit_resolution,[status(thm)],[9111, 9110, 9072])).
% 7.30/5.31 tff(9113,plain,
% 7.30/5.31 ((~(v110(constB72) <=> v108(constB71))) | v110(constB72) | (~v108(constB71))),
% 7.30/5.31 inference(tautology,[status(thm)],[])).
% 7.30/5.31 tff(9114,plain,
% 7.30/5.31 (v110(constB72)),
% 7.30/5.31 inference(unit_resolution,[status(thm)],[9113, 9112, 9070])).
% 7.30/5.31 tff(9115,plain,
% 7.30/5.31 ((~((~v101(constB72)) | (~v110(constB72)))) | (~v101(constB72)) | (~v110(constB72))),
% 7.30/5.31 inference(tautology,[status(thm)],[])).
% 7.30/5.31 tff(9116,plain,
% 7.30/5.31 (~((~v101(constB72)) | (~v110(constB72)))),
% 7.30/5.31 inference(unit_resolution,[status(thm)],[9115, 9114, 9066])).
% 7.30/5.31 tff(9117,plain,
% 7.30/5.31 ((~(v100(constB72) <=> (~((~v101(constB72)) | (~v110(constB72)))))) | v100(constB72) | ((~v101(constB72)) | (~v110(constB72)))),
% 7.30/5.31 inference(tautology,[status(thm)],[])).
% 7.30/5.31 tff(9118,plain,
% 7.30/5.31 (v100(constB72)),
% 7.30/5.31 inference(unit_resolution,[status(thm)],[9117, 9116, 9038])).
% 7.30/5.31 tff(9119,plain,
% 7.30/5.31 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB72)) | (~(((~v90(constB72, bitIndex2)) <=> v129(constB72, bitIndex2)) | ((~v90(constB72, bitIndex1)) <=> v129(constB72, bitIndex1)) | ((~v90(constB72, bitIndex0)) <=> v129(constB72, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB72)) | (~(((~v90(constB72, bitIndex2)) <=> v129(constB72, bitIndex2)) | ((~v90(constB72, bitIndex1)) <=> v129(constB72, bitIndex1)) | ((~v90(constB72, bitIndex0)) <=> v129(constB72, bitIndex0)))))),
% 7.30/5.31 inference(rewrite,[status(thm)],[])).
% 7.30/5.31 tff(9120,plain,
% 7.30/5.31 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB72)) | (~(((~v90(constB72, bitIndex2)) <=> v129(constB72, bitIndex2)) | ((~v90(constB72, bitIndex1)) <=> v129(constB72, bitIndex1)) | ((~v90(constB72, bitIndex0)) <=> v129(constB72, bitIndex0)))))),
% 7.30/5.31 inference(quant_inst,[status(thm)],[])).
% 7.30/5.31 tff(9121,plain,
% 7.30/5.31 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB72)) | (~(((~v90(constB72, bitIndex2)) <=> v129(constB72, bitIndex2)) | ((~v90(constB72, bitIndex1)) <=> v129(constB72, bitIndex1)) | ((~v90(constB72, bitIndex0)) <=> v129(constB72, bitIndex0))))),
% 7.30/5.31 inference(modus_ponens,[status(thm)],[9120, 9119])).
% 7.30/5.31 tff(9122,plain,
% 7.30/5.31 ((~v100(constB72)) | (~(((~v90(constB72, bitIndex2)) <=> v129(constB72, bitIndex2)) | ((~v90(constB72, bitIndex1)) <=> v129(constB72, bitIndex1)) | ((~v90(constB72, bitIndex0)) <=> v129(constB72, bitIndex0))))),
% 7.30/5.31 inference(unit_resolution,[status(thm)],[9121, 3429])).
% 7.30/5.31 tff(9123,plain,
% 7.30/5.31 (~(((~v90(constB72, bitIndex2)) <=> v129(constB72, bitIndex2)) | ((~v90(constB72, bitIndex1)) <=> v129(constB72, bitIndex1)) | ((~v90(constB72, bitIndex0)) <=> v129(constB72, bitIndex0)))),
% 7.30/5.31 inference(unit_resolution,[status(thm)],[9122, 9118])).
% 7.30/5.31 tff(9124,plain,
% 7.30/5.31 ((((~v90(constB72, bitIndex2)) <=> v129(constB72, bitIndex2)) | ((~v90(constB72, bitIndex1)) <=> v129(constB72, bitIndex1)) | ((~v90(constB72, bitIndex0)) <=> v129(constB72, bitIndex0))) | (~((~v90(constB72, bitIndex2)) <=> v129(constB72, bitIndex2)))),
% 7.30/5.31 inference(tautology,[status(thm)],[])).
% 7.30/5.31 tff(9125,plain,
% 7.30/5.31 (~((~v90(constB72, bitIndex2)) <=> v129(constB72, bitIndex2))),
% 7.30/5.31 inference(unit_resolution,[status(thm)],[9124, 9123])).
% 7.30/5.31 tff(9126,plain,
% 7.30/5.31 (((~v90(constB72, bitIndex2)) <=> v129(constB72, bitIndex2)) | v90(constB72, bitIndex2) | (~v129(constB72, bitIndex2))),
% 7.30/5.31 inference(tautology,[status(thm)],[])).
% 7.30/5.31 tff(9127,plain,
% 7.30/5.31 (v90(constB72, bitIndex2)),
% 7.30/5.31 inference(unit_resolution,[status(thm)],[9126, 9125, 9034])).
% 7.30/5.31 tff(9128,plain,
% 7.30/5.31 (((~v90(constB73, bitIndex2)) <=> v90(constB72, bitIndex2)) | v90(constB73, bitIndex2) | (~v90(constB72, bitIndex2))),
% 7.30/5.31 inference(tautology,[status(thm)],[])).
% 7.30/5.31 tff(9129,plain,
% 7.30/5.31 (v90(constB73, bitIndex2)),
% 7.30/5.31 inference(unit_resolution,[status(thm)],[9128, 9127, 843])).
% 7.30/5.31 tff(9130,plain,
% 7.30/5.31 ((((~v90(constB73, bitIndex1)) <=> v90(constB72, bitIndex1)) | ((~v90(constB73, bitIndex2)) <=> v90(constB72, bitIndex2)) | ((~v90(constB73, bitIndex0)) <=> v90(constB72, bitIndex0))) | (~((~v90(constB73, bitIndex0)) <=> v90(constB72, bitIndex0)))),
% 7.30/5.31 inference(tautology,[status(thm)],[])).
% 7.30/5.31 tff(9131,plain,
% 7.30/5.31 (~((~v90(constB73, bitIndex0)) <=> v90(constB72, bitIndex0))),
% 7.30/5.31 inference(unit_resolution,[status(thm)],[9130, 841])).
% 7.30/5.31 tff(9132,plain,
% 7.30/5.31 ((((~v129(constB72, bitIndex2)) <=> v127(constB71, bitIndex2)) | ((~v129(constB72, bitIndex1)) <=> v127(constB71, bitIndex1)) | ((~v129(constB72, bitIndex0)) <=> v127(constB71, bitIndex0))) | (~((~v129(constB72, bitIndex0)) <=> v127(constB71, bitIndex0)))),
% 7.30/5.31 inference(tautology,[status(thm)],[])).
% 7.30/5.31 tff(9133,plain,
% 7.30/5.31 (~((~v129(constB72, bitIndex0)) <=> v127(constB71, bitIndex0))),
% 7.30/5.31 inference(unit_resolution,[status(thm)],[9132, 850])).
% 7.30/5.31 tff(9134,plain,
% 7.30/5.31 ((((~v127(constB71, bitIndex2)) <=> v130(constB71, bitIndex2)) | ((~v127(constB71, bitIndex1)) <=> v130(constB71, bitIndex1)) | ((~v127(constB71, bitIndex0)) <=> v130(constB71, bitIndex0))) | (~((~v127(constB71, bitIndex0)) <=> v130(constB71, bitIndex0)))),
% 7.30/5.31 inference(tautology,[status(thm)],[])).
% 7.30/5.31 tff(9135,plain,
% 7.30/5.31 (~((~v127(constB71, bitIndex0)) <=> v130(constB71, bitIndex0))),
% 7.30/5.31 inference(unit_resolution,[status(thm)],[9134, 864])).
% 7.30/5.31 tff(9136,plain,
% 7.30/5.31 ((v130(constB71, bitIndex1) | v130(constB71, bitIndex0) | (~v130(constB71, bitIndex2))) | (~v130(constB71, bitIndex0))),
% 7.30/5.31 inference(tautology,[status(thm)],[])).
% 7.30/5.31 tff(9137,plain,
% 7.30/5.31 (~v130(constB71, bitIndex0)),
% 7.30/5.31 inference(unit_resolution,[status(thm)],[9136, 9028])).
% 7.30/5.31 tff(9138,plain,
% 7.30/5.31 (((~v127(constB71, bitIndex0)) <=> v130(constB71, bitIndex0)) | (~v127(constB71, bitIndex0)) | v130(constB71, bitIndex0)),
% 7.30/5.31 inference(tautology,[status(thm)],[])).
% 7.30/5.31 tff(9139,plain,
% 7.30/5.31 (~v127(constB71, bitIndex0)),
% 7.30/5.31 inference(unit_resolution,[status(thm)],[9138, 9137, 9135])).
% 7.30/5.31 tff(9140,plain,
% 7.30/5.31 (((~v129(constB72, bitIndex0)) <=> v127(constB71, bitIndex0)) | (~v129(constB72, bitIndex0)) | v127(constB71, bitIndex0)),
% 7.30/5.31 inference(tautology,[status(thm)],[])).
% 7.30/5.31 tff(9141,plain,
% 7.30/5.31 (~v129(constB72, bitIndex0)),
% 7.30/5.31 inference(unit_resolution,[status(thm)],[9140, 9139, 9133])).
% 7.30/5.31 tff(9142,plain,
% 7.30/5.31 ((((~v90(constB72, bitIndex2)) <=> v129(constB72, bitIndex2)) | ((~v90(constB72, bitIndex1)) <=> v129(constB72, bitIndex1)) | ((~v90(constB72, bitIndex0)) <=> v129(constB72, bitIndex0))) | (~((~v90(constB72, bitIndex0)) <=> v129(constB72, bitIndex0)))),
% 7.30/5.31 inference(tautology,[status(thm)],[])).
% 7.30/5.31 tff(9143,plain,
% 7.30/5.31 (~((~v90(constB72, bitIndex0)) <=> v129(constB72, bitIndex0))),
% 7.30/5.31 inference(unit_resolution,[status(thm)],[9142, 9123])).
% 7.30/5.31 tff(9144,plain,
% 7.30/5.31 (((~v90(constB72, bitIndex0)) <=> v129(constB72, bitIndex0)) | (~v90(constB72, bitIndex0)) | v129(constB72, bitIndex0)),
% 7.30/5.31 inference(tautology,[status(thm)],[])).
% 7.30/5.31 tff(9145,plain,
% 7.30/5.31 (~v90(constB72, bitIndex0)),
% 7.30/5.31 inference(unit_resolution,[status(thm)],[9144, 9143, 9141])).
% 7.30/5.31 tff(9146,plain,
% 7.30/5.31 (((~v90(constB73, bitIndex0)) <=> v90(constB72, bitIndex0)) | (~v90(constB73, bitIndex0)) | v90(constB72, bitIndex0)),
% 7.30/5.31 inference(tautology,[status(thm)],[])).
% 7.30/5.31 tff(9147,plain,
% 7.30/5.31 (~v90(constB73, bitIndex0)),
% 7.30/5.31 inference(unit_resolution,[status(thm)],[9146, 9145, 9131])).
% 7.30/5.31 tff(9148,plain,
% 7.30/5.31 ((((~v90(constB73, bitIndex1)) <=> v90(constB72, bitIndex1)) | ((~v90(constB73, bitIndex2)) <=> v90(constB72, bitIndex2)) | ((~v90(constB73, bitIndex0)) <=> v90(constB72, bitIndex0))) | (~((~v90(constB73, bitIndex1)) <=> v90(constB72, bitIndex1)))),
% 7.30/5.31 inference(tautology,[status(thm)],[])).
% 7.30/5.31 tff(9149,plain,
% 7.30/5.31 (~((~v90(constB73, bitIndex1)) <=> v90(constB72, bitIndex1))),
% 7.30/5.31 inference(unit_resolution,[status(thm)],[9148, 841])).
% 7.30/5.31 tff(9150,plain,
% 7.30/5.31 ((((~v129(constB72, bitIndex2)) <=> v127(constB71, bitIndex2)) | ((~v129(constB72, bitIndex1)) <=> v127(constB71, bitIndex1)) | ((~v129(constB72, bitIndex0)) <=> v127(constB71, bitIndex0))) | (~((~v129(constB72, bitIndex1)) <=> v127(constB71, bitIndex1)))),
% 7.30/5.31 inference(tautology,[status(thm)],[])).
% 7.30/5.31 tff(9151,plain,
% 7.30/5.31 (~((~v129(constB72, bitIndex1)) <=> v127(constB71, bitIndex1))),
% 7.30/5.31 inference(unit_resolution,[status(thm)],[9150, 850])).
% 7.30/5.31 tff(9152,plain,
% 7.30/5.31 ((((~v127(constB71, bitIndex2)) <=> v130(constB71, bitIndex2)) | ((~v127(constB71, bitIndex1)) <=> v130(constB71, bitIndex1)) | ((~v127(constB71, bitIndex0)) <=> v130(constB71, bitIndex0))) | (~((~v127(constB71, bitIndex1)) <=> v130(constB71, bitIndex1)))),
% 7.30/5.31 inference(tautology,[status(thm)],[])).
% 7.30/5.31 tff(9153,plain,
% 7.30/5.31 (~((~v127(constB71, bitIndex1)) <=> v130(constB71, bitIndex1))),
% 7.30/5.31 inference(unit_resolution,[status(thm)],[9152, 864])).
% 7.30/5.31 tff(9154,plain,
% 7.30/5.31 ((v130(constB71, bitIndex1) | v130(constB71, bitIndex0) | (~v130(constB71, bitIndex2))) | (~v130(constB71, bitIndex1))),
% 7.30/5.31 inference(tautology,[status(thm)],[])).
% 7.30/5.31 tff(9155,plain,
% 7.30/5.31 (~v130(constB71, bitIndex1)),
% 7.30/5.31 inference(unit_resolution,[status(thm)],[9154, 9028])).
% 7.30/5.31 tff(9156,plain,
% 7.30/5.31 (((~v127(constB71, bitIndex1)) <=> v130(constB71, bitIndex1)) | (~v127(constB71, bitIndex1)) | v130(constB71, bitIndex1)),
% 7.30/5.31 inference(tautology,[status(thm)],[])).
% 7.30/5.31 tff(9157,plain,
% 7.30/5.31 (~v127(constB71, bitIndex1)),
% 7.30/5.31 inference(unit_resolution,[status(thm)],[9156, 9155, 9153])).
% 7.30/5.31 tff(9158,plain,
% 7.30/5.31 (((~v129(constB72, bitIndex1)) <=> v127(constB71, bitIndex1)) | (~v129(constB72, bitIndex1)) | v127(constB71, bitIndex1)),
% 7.30/5.31 inference(tautology,[status(thm)],[])).
% 7.30/5.31 tff(9159,plain,
% 7.30/5.31 (~v129(constB72, bitIndex1)),
% 7.30/5.31 inference(unit_resolution,[status(thm)],[9158, 9157, 9151])).
% 7.30/5.31 tff(9160,plain,
% 7.30/5.31 ((((~v90(constB72, bitIndex2)) <=> v129(constB72, bitIndex2)) | ((~v90(constB72, bitIndex1)) <=> v129(constB72, bitIndex1)) | ((~v90(constB72, bitIndex0)) <=> v129(constB72, bitIndex0))) | (~((~v90(constB72, bitIndex1)) <=> v129(constB72, bitIndex1)))),
% 7.30/5.31 inference(tautology,[status(thm)],[])).
% 7.30/5.31 tff(9161,plain,
% 7.30/5.31 (~((~v90(constB72, bitIndex1)) <=> v129(constB72, bitIndex1))),
% 7.30/5.31 inference(unit_resolution,[status(thm)],[9160, 9123])).
% 7.40/5.31 tff(9162,plain,
% 7.40/5.31 (((~v90(constB72, bitIndex1)) <=> v129(constB72, bitIndex1)) | (~v90(constB72, bitIndex1)) | v129(constB72, bitIndex1)),
% 7.40/5.31 inference(tautology,[status(thm)],[])).
% 7.40/5.31 tff(9163,plain,
% 7.40/5.31 (~v90(constB72, bitIndex1)),
% 7.40/5.31 inference(unit_resolution,[status(thm)],[9162, 9161, 9159])).
% 7.40/5.31 tff(9164,plain,
% 7.40/5.31 (((~v90(constB73, bitIndex1)) <=> v90(constB72, bitIndex1)) | (~v90(constB73, bitIndex1)) | v90(constB72, bitIndex1)),
% 7.40/5.31 inference(tautology,[status(thm)],[])).
% 7.40/5.31 tff(9165,plain,
% 7.40/5.31 (~v90(constB73, bitIndex1)),
% 7.40/5.31 inference(unit_resolution,[status(thm)],[9164, 9163, 9149])).
% 7.40/5.31 tff(9166,plain,
% 7.40/5.31 ((~(v90(constB73, bitIndex1) | v90(constB73, bitIndex0) | (~v90(constB73, bitIndex2)))) | v90(constB73, bitIndex1) | v90(constB73, bitIndex0) | (~v90(constB73, bitIndex2))),
% 7.40/5.31 inference(tautology,[status(thm)],[])).
% 7.40/5.31 tff(9167,plain,
% 7.40/5.31 (~(v90(constB73, bitIndex1) | v90(constB73, bitIndex0) | (~v90(constB73, bitIndex2)))),
% 7.40/5.31 inference(unit_resolution,[status(thm)],[9166, 9165, 9147, 9129])).
% 7.40/5.31 tff(9168,plain,
% 7.40/5.31 ((~(v123(constB73) <=> (~(v90(constB73, bitIndex1) | v90(constB73, bitIndex0) | (~v90(constB73, bitIndex2)))))) | v123(constB73) | (v90(constB73, bitIndex1) | v90(constB73, bitIndex0) | (~v90(constB73, bitIndex2)))),
% 7.40/5.31 inference(tautology,[status(thm)],[])).
% 7.40/5.31 tff(9169,plain,
% 7.40/5.31 (v123(constB73)),
% 7.40/5.31 inference(unit_resolution,[status(thm)],[9168, 9167, 807])).
% 7.40/5.31 tff(9170,plain,
% 7.40/5.31 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | ((~v123(constB73)) | (~(v130(constB73, bitIndex0) | (~v130(constB73, bitIndex2)) | (~v130(constB73, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | (~v123(constB73)) | (~(v130(constB73, bitIndex0) | (~v130(constB73, bitIndex2)) | (~v130(constB73, bitIndex1)))))),
% 7.40/5.31 inference(rewrite,[status(thm)],[])).
% 7.40/5.31 tff(9171,plain,
% 7.40/5.31 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | ((~v123(constB73)) | (~(v130(constB73, bitIndex0) | (~v130(constB73, bitIndex2)) | (~v130(constB73, bitIndex1)))))),
% 7.40/5.31 inference(quant_inst,[status(thm)],[])).
% 7.40/5.31 tff(9172,plain,
% 7.40/5.31 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | (~v123(constB73)) | (~(v130(constB73, bitIndex0) | (~v130(constB73, bitIndex2)) | (~v130(constB73, bitIndex1))))),
% 7.40/5.31 inference(modus_ponens,[status(thm)],[9171, 9170])).
% 7.40/5.31 tff(9173,plain,
% 7.40/5.31 ((~v123(constB73)) | (~(v130(constB73, bitIndex0) | (~v130(constB73, bitIndex2)) | (~v130(constB73, bitIndex1))))),
% 7.40/5.31 inference(unit_resolution,[status(thm)],[9172, 3496])).
% 7.40/5.31 tff(9174,plain,
% 7.40/5.31 (~(v130(constB73, bitIndex0) | (~v130(constB73, bitIndex2)) | (~v130(constB73, bitIndex1)))),
% 7.40/5.31 inference(unit_resolution,[status(thm)],[9173, 9169])).
% 7.40/5.31 tff(9175,plain,
% 7.40/5.31 ((v130(constB73, bitIndex0) | (~v130(constB73, bitIndex2)) | (~v130(constB73, bitIndex1))) | (~v130(constB73, bitIndex0))),
% 7.40/5.31 inference(tautology,[status(thm)],[])).
% 7.40/5.31 tff(9176,plain,
% 7.40/5.31 (~v130(constB73, bitIndex0)),
% 7.40/5.31 inference(unit_resolution,[status(thm)],[9175, 9174])).
% 7.40/5.31 tff(9177,plain,
% 7.40/5.31 (((~v127(constB73, bitIndex0)) <=> v130(constB73, bitIndex0)) | (~v127(constB73, bitIndex0)) | v130(constB73, bitIndex0)),
% 7.40/5.31 inference(tautology,[status(thm)],[])).
% 7.40/5.31 tff(9178,plain,
% 7.40/5.31 (~v127(constB73, bitIndex0)),
% 7.40/5.31 inference(unit_resolution,[status(thm)],[9177, 9176, 787])).
% 7.40/5.31 tff(9179,plain,
% 7.40/5.31 (((~v129(constB74, bitIndex0)) <=> v127(constB73, bitIndex0)) | (~v129(constB74, bitIndex0)) | v127(constB73, bitIndex0)),
% 7.40/5.31 inference(tautology,[status(thm)],[])).
% 7.40/5.31 tff(9180,plain,
% 7.40/5.31 (~v129(constB74, bitIndex0)),
% 7.40/5.31 inference(unit_resolution,[status(thm)],[9179, 9178, 773])).
% 7.40/5.31 tff(9181,plain,
% 7.40/5.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB73, constB74)) | (v100(constB74) <=> (~((~v101(constB74)) | (~v110(constB74))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB73, constB74)) | (v100(constB74) <=> (~((~v101(constB74)) | (~v110(constB74))))))),
% 7.40/5.31 inference(rewrite,[status(thm)],[])).
% 7.40/5.31 tff(9182,plain,
% 7.40/5.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB73, constB74)) | (v100(constB74) <=> (~((~v101(constB74)) | (~v110(constB74))))))),
% 7.40/5.31 inference(quant_inst,[status(thm)],[])).
% 7.40/5.31 tff(9183,plain,
% 7.40/5.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB73, constB74)) | (v100(constB74) <=> (~((~v101(constB74)) | (~v110(constB74)))))),
% 7.40/5.31 inference(modus_ponens,[status(thm)],[9182, 9181])).
% 7.40/5.31 tff(9184,plain,
% 7.40/5.31 (v100(constB74) <=> (~((~v101(constB74)) | (~v110(constB74))))),
% 7.40/5.31 inference(unit_resolution,[status(thm)],[9183, 767, 445])).
% 7.40/5.31 tff(9185,plain,
% 7.40/5.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB73, constB74)) | (v101(constB74) <=> (~((~v1(constB74)) | (~v102(constB74))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB73, constB74)) | (v101(constB74) <=> (~((~v1(constB74)) | (~v102(constB74))))))),
% 7.40/5.31 inference(rewrite,[status(thm)],[])).
% 7.40/5.31 tff(9186,plain,
% 7.40/5.31 (((~nextState(constB73, constB74)) | (v101(constB74) <=> (~((~v102(constB74)) | (~v1(constB74)))))) <=> ((~nextState(constB73, constB74)) | (v101(constB74) <=> (~((~v1(constB74)) | (~v102(constB74))))))),
% 7.40/5.31 inference(rewrite,[status(thm)],[])).
% 7.40/5.31 tff(9187,plain,
% 7.40/5.31 (((~![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) <=> (~((~v1(constB74)) | (~v102(constB74)))))))),
% 7.40/5.31 inference(monotonicity,[status(thm)],[9186])).
% 7.40/5.31 tff(9188,plain,
% 7.40/5.31 (((~![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) <=> (~((~v1(constB74)) | (~v102(constB74))))))),
% 7.40/5.31 inference(transitivity,[status(thm)],[9187, 9185])).
% 7.40/5.31 tff(9189,plain,
% 7.40/5.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB73, constB74)) | (v101(constB74) <=> (~((~v102(constB74)) | (~v1(constB74))))))),
% 7.40/5.31 inference(quant_inst,[status(thm)],[])).
% 7.40/5.31 tff(9190,plain,
% 7.40/5.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB73, constB74)) | (v101(constB74) <=> (~((~v1(constB74)) | (~v102(constB74)))))),
% 7.40/5.31 inference(modus_ponens,[status(thm)],[9189, 9188])).
% 7.40/5.31 tff(9191,plain,
% 7.40/5.31 (v101(constB74) <=> (~((~v1(constB74)) | (~v102(constB74))))),
% 7.40/5.31 inference(unit_resolution,[status(thm)],[9190, 767, 465])).
% 7.40/5.31 tff(9192,plain,
% 7.40/5.31 (((~![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)))),
% 7.40/5.31 inference(rewrite,[status(thm)],[])).
% 7.40/5.31 tff(9193,plain,
% 7.40/5.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB73, constB74)) | ((~v102(constB74)) <=> v104(constB74)))),
% 7.40/5.31 inference(quant_inst,[status(thm)],[])).
% 7.40/5.31 tff(9194,plain,
% 7.40/5.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB73, constB74)) | ((~v102(constB74)) <=> v104(constB74))),
% 7.40/5.31 inference(modus_ponens,[status(thm)],[9193, 9192])).
% 7.40/5.31 tff(9195,plain,
% 7.40/5.31 ((~v102(constB74)) <=> v104(constB74)),
% 7.40/5.31 inference(unit_resolution,[status(thm)],[9194, 767, 3244])).
% 7.40/5.31 tff(9196,plain,
% 7.40/5.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB73, constB74)) | (v104(constB74) <=> v1(constB73)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB73, constB74)) | (v104(constB74) <=> v1(constB73)))),
% 7.40/5.31 inference(rewrite,[status(thm)],[])).
% 7.40/5.31 tff(9197,plain,
% 7.40/5.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB73, constB74)) | (v104(constB74) <=> v1(constB73)))),
% 7.40/5.31 inference(quant_inst,[status(thm)],[])).
% 7.40/5.31 tff(9198,plain,
% 7.40/5.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB73, constB74)) | (v104(constB74) <=> v1(constB73))),
% 7.40/5.31 inference(modus_ponens,[status(thm)],[9197, 9196])).
% 7.40/5.31 tff(9199,plain,
% 7.40/5.31 (v104(constB74) <=> v1(constB73)),
% 7.40/5.31 inference(unit_resolution,[status(thm)],[9198, 767, 3258])).
% 7.40/5.31 tff(9200,plain,
% 7.40/5.31 ((~(v104(constB74) <=> v1(constB73))) | (~v104(constB74)) | v1(constB73)),
% 7.40/5.31 inference(tautology,[status(thm)],[])).
% 7.40/5.31 tff(9201,plain,
% 7.40/5.31 ((~(v104(constB74) <=> v1(constB73))) | (~v104(constB74))),
% 7.40/5.31 inference(unit_resolution,[status(thm)],[9200, 824])).
% 7.40/5.31 tff(9202,plain,
% 7.40/5.31 (~v104(constB74)),
% 7.40/5.31 inference(unit_resolution,[status(thm)],[9201, 9199])).
% 7.40/5.31 tff(9203,plain,
% 7.40/5.31 ((~((~v102(constB74)) <=> v104(constB74))) | v102(constB74) | v104(constB74)),
% 7.40/5.31 inference(tautology,[status(thm)],[])).
% 7.40/5.31 tff(9204,plain,
% 7.40/5.31 (v102(constB74)),
% 7.40/5.31 inference(unit_resolution,[status(thm)],[9203, 9202, 9195])).
% 7.40/5.31 tff(9205,plain,
% 7.40/5.31 (v1(constB74) <=> v1(constB74)),
% 7.40/5.31 inference(rewrite,[status(thm)],[])).
% 7.40/5.31 tff(9206,axiom,(v1(constB74)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_74')).
% 7.40/5.31 tff(9207,plain,
% 7.40/5.31 (v1(constB74)),
% 7.40/5.31 inference(modus_ponens,[status(thm)],[9206, 9205])).
% 7.40/5.31 tff(9208,plain,
% 7.40/5.31 ((~((~v1(constB74)) | (~v102(constB74)))) | (~v1(constB74)) | (~v102(constB74))),
% 7.40/5.31 inference(tautology,[status(thm)],[])).
% 7.40/5.31 tff(9209,plain,
% 7.40/5.31 ((~((~v1(constB74)) | (~v102(constB74)))) | (~v102(constB74))),
% 7.40/5.31 inference(unit_resolution,[status(thm)],[9208, 9207])).
% 7.40/5.31 tff(9210,plain,
% 7.40/5.31 (~((~v1(constB74)) | (~v102(constB74)))),
% 7.40/5.31 inference(unit_resolution,[status(thm)],[9209, 9204])).
% 7.40/5.31 tff(9211,plain,
% 7.40/5.31 ((~(v101(constB74) <=> (~((~v1(constB74)) | (~v102(constB74)))))) | v101(constB74) | ((~v1(constB74)) | (~v102(constB74)))),
% 7.40/5.31 inference(tautology,[status(thm)],[])).
% 7.40/5.31 tff(9212,plain,
% 7.40/5.31 (v101(constB74)),
% 7.40/5.31 inference(unit_resolution,[status(thm)],[9211, 9210, 9191])).
% 7.40/5.31 tff(9213,plain,
% 7.40/5.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB73, constB74)) | (v110(constB74) <=> v108(constB73)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB73, constB74)) | (v110(constB74) <=> v108(constB73)))),
% 7.40/5.31 inference(rewrite,[status(thm)],[])).
% 7.40/5.31 tff(9214,plain,
% 7.40/5.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB73, constB74)) | (v110(constB74) <=> v108(constB73)))),
% 7.40/5.31 inference(quant_inst,[status(thm)],[])).
% 7.40/5.31 tff(9215,plain,
% 7.40/5.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB73, constB74)) | (v110(constB74) <=> v108(constB73))),
% 7.40/5.31 inference(modus_ponens,[status(thm)],[9214, 9213])).
% 7.40/5.31 tff(9216,plain,
% 7.40/5.31 (v110(constB74) <=> v108(constB73)),
% 7.40/5.31 inference(unit_resolution,[status(thm)],[9215, 767, 3285])).
% 7.40/5.31 tff(9217,plain,
% 7.40/5.31 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB73) <=> (v111(constB73) | v112(constB73)))),
% 7.40/5.31 inference(quant_inst,[status(thm)],[])).
% 7.40/5.31 tff(9218,plain,
% 7.40/5.31 (v108(constB73) <=> (v111(constB73) | v112(constB73))),
% 7.40/5.31 inference(unit_resolution,[status(thm)],[9217, 3296])).
% 7.40/5.31 tff(9219,plain,
% 7.40/5.31 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB73) <=> (~((~v113(constB73)) | (~v126(constB73)))))),
% 7.40/5.31 inference(quant_inst,[status(thm)],[])).
% 7.40/5.31 tff(9220,plain,
% 7.40/5.31 (v112(constB73) <=> (~((~v113(constB73)) | (~v126(constB73))))),
% 7.40/5.31 inference(unit_resolution,[status(thm)],[9219, 3308])).
% 7.40/5.31 tff(9221,plain,
% 7.40/5.31 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB73) <=> (v114(constB73) | v125(constB73)))),
% 7.40/5.31 inference(quant_inst,[status(thm)],[])).
% 7.40/5.31 tff(9222,plain,
% 7.40/5.31 (v113(constB73) <=> (v114(constB73) | v125(constB73))),
% 7.40/5.31 inference(unit_resolution,[status(thm)],[9221, 3317])).
% 7.40/5.31 tff(9223,plain,
% 7.40/5.31 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB73) <=> (v115(constB73) | v124(constB73)))),
% 7.40/5.31 inference(quant_inst,[status(thm)],[])).
% 7.40/5.31 tff(9224,plain,
% 7.40/5.31 (v114(constB73) <=> (v115(constB73) | v124(constB73))),
% 7.40/5.31 inference(unit_resolution,[status(thm)],[9223, 3326])).
% 7.40/5.31 tff(9225,plain,
% 7.40/5.31 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB73) <=> (v116(constB73) | v123(constB73)))),
% 7.40/5.31 inference(quant_inst,[status(thm)],[])).
% 7.40/5.31 tff(9226,plain,
% 7.40/5.31 (v115(constB73) <=> (v116(constB73) | v123(constB73))),
% 7.40/5.31 inference(unit_resolution,[status(thm)],[9225, 3335])).
% 7.40/5.31 tff(9227,plain,
% 7.40/5.31 ((v116(constB73) | v123(constB73)) | (~v123(constB73))),
% 7.40/5.31 inference(tautology,[status(thm)],[])).
% 7.40/5.31 tff(9228,plain,
% 7.40/5.31 (v116(constB73) | v123(constB73)),
% 7.40/5.31 inference(unit_resolution,[status(thm)],[9227, 9169])).
% 7.40/5.31 tff(9229,plain,
% 7.40/5.31 ((~(v115(constB73) <=> (v116(constB73) | v123(constB73)))) | v115(constB73) | (~(v116(constB73) | v123(constB73)))),
% 7.40/5.31 inference(tautology,[status(thm)],[])).
% 7.40/5.31 tff(9230,plain,
% 7.40/5.31 (v115(constB73)),
% 7.40/5.31 inference(unit_resolution,[status(thm)],[9229, 9228, 9226])).
% 7.40/5.31 tff(9231,plain,
% 7.40/5.31 ((v115(constB73) | v124(constB73)) | (~v115(constB73))),
% 7.40/5.31 inference(tautology,[status(thm)],[])).
% 7.40/5.31 tff(9232,plain,
% 7.40/5.31 (v115(constB73) | v124(constB73)),
% 7.40/5.31 inference(unit_resolution,[status(thm)],[9231, 9230])).
% 7.40/5.31 tff(9233,plain,
% 7.40/5.31 ((~(v114(constB73) <=> (v115(constB73) | v124(constB73)))) | v114(constB73) | (~(v115(constB73) | v124(constB73)))),
% 7.40/5.31 inference(tautology,[status(thm)],[])).
% 7.40/5.31 tff(9234,plain,
% 7.40/5.31 (v114(constB73)),
% 7.40/5.31 inference(unit_resolution,[status(thm)],[9233, 9232, 9224])).
% 7.40/5.31 tff(9235,plain,
% 7.40/5.31 ((v114(constB73) | v125(constB73)) | (~v114(constB73))),
% 7.40/5.31 inference(tautology,[status(thm)],[])).
% 7.40/5.31 tff(9236,plain,
% 7.40/5.31 (v114(constB73) | v125(constB73)),
% 7.40/5.31 inference(unit_resolution,[status(thm)],[9235, 9234])).
% 7.40/5.31 tff(9237,plain,
% 7.40/5.31 ((~(v113(constB73) <=> (v114(constB73) | v125(constB73)))) | v113(constB73) | (~(v114(constB73) | v125(constB73)))),
% 7.40/5.31 inference(tautology,[status(thm)],[])).
% 7.40/5.31 tff(9238,plain,
% 7.40/5.31 (v113(constB73)),
% 7.40/5.31 inference(unit_resolution,[status(thm)],[9237, 9236, 9222])).
% 7.40/5.31 tff(9239,plain,
% 7.40/5.31 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB73)) <=> v111(constB73))),
% 7.40/5.31 inference(quant_inst,[status(thm)],[])).
% 7.40/5.31 tff(9240,plain,
% 7.40/5.31 ((~v126(constB73)) <=> v111(constB73)),
% 7.40/5.31 inference(unit_resolution,[status(thm)],[9239, 3396])).
% 7.40/5.31 tff(9241,plain,
% 7.40/5.31 ((~((~v126(constB73)) <=> v111(constB73))) | v126(constB73) | v111(constB73)),
% 7.40/5.31 inference(tautology,[status(thm)],[])).
% 7.40/5.31 tff(9242,plain,
% 7.40/5.31 ((~((~v126(constB73)) <=> v111(constB73))) | v126(constB73)),
% 7.40/5.31 inference(unit_resolution,[status(thm)],[9241, 780])).
% 7.40/5.31 tff(9243,plain,
% 7.40/5.31 (v126(constB73)),
% 7.40/5.31 inference(unit_resolution,[status(thm)],[9242, 9240])).
% 7.40/5.31 tff(9244,plain,
% 7.40/5.31 ((~((~v113(constB73)) | (~v126(constB73)))) | (~v113(constB73)) | (~v126(constB73))),
% 7.40/5.31 inference(tautology,[status(thm)],[])).
% 7.40/5.31 tff(9245,plain,
% 7.40/5.31 ((~((~v113(constB73)) | (~v126(constB73)))) | (~v113(constB73))),
% 7.40/5.31 inference(unit_resolution,[status(thm)],[9244, 9243])).
% 7.40/5.31 tff(9246,plain,
% 7.40/5.31 (~((~v113(constB73)) | (~v126(constB73)))),
% 7.40/5.31 inference(unit_resolution,[status(thm)],[9245, 9238])).
% 7.40/5.31 tff(9247,plain,
% 7.40/5.31 ((~(v112(constB73) <=> (~((~v113(constB73)) | (~v126(constB73)))))) | v112(constB73) | ((~v113(constB73)) | (~v126(constB73)))),
% 7.40/5.31 inference(tautology,[status(thm)],[])).
% 7.40/5.31 tff(9248,plain,
% 7.40/5.31 (v112(constB73)),
% 7.40/5.31 inference(unit_resolution,[status(thm)],[9247, 9246, 9220])).
% 7.40/5.31 tff(9249,plain,
% 7.40/5.31 ((v111(constB73) | v112(constB73)) | (~v112(constB73))),
% 7.40/5.31 inference(tautology,[status(thm)],[])).
% 7.40/5.31 tff(9250,plain,
% 7.40/5.31 (v111(constB73) | v112(constB73)),
% 7.40/5.31 inference(unit_resolution,[status(thm)],[9249, 9248])).
% 7.40/5.31 tff(9251,plain,
% 7.40/5.31 ((~(v108(constB73) <=> (v111(constB73) | v112(constB73)))) | v108(constB73) | (~(v111(constB73) | v112(constB73)))),
% 7.40/5.31 inference(tautology,[status(thm)],[])).
% 7.40/5.31 tff(9252,plain,
% 7.40/5.31 (v108(constB73)),
% 7.40/5.31 inference(unit_resolution,[status(thm)],[9251, 9250, 9218])).
% 7.40/5.31 tff(9253,plain,
% 7.40/5.31 ((~(v110(constB74) <=> v108(constB73))) | v110(constB74) | (~v108(constB73))),
% 7.40/5.31 inference(tautology,[status(thm)],[])).
% 7.40/5.31 tff(9254,plain,
% 7.40/5.31 (v110(constB74)),
% 7.40/5.31 inference(unit_resolution,[status(thm)],[9253, 9252, 9216])).
% 7.40/5.31 tff(9255,plain,
% 7.40/5.31 ((~((~v101(constB74)) | (~v110(constB74)))) | (~v101(constB74)) | (~v110(constB74))),
% 7.40/5.31 inference(tautology,[status(thm)],[])).
% 7.40/5.31 tff(9256,plain,
% 7.40/5.31 (~((~v101(constB74)) | (~v110(constB74)))),
% 7.40/5.31 inference(unit_resolution,[status(thm)],[9255, 9254, 9212])).
% 7.40/5.31 tff(9257,plain,
% 7.40/5.31 ((~(v100(constB74) <=> (~((~v101(constB74)) | (~v110(constB74)))))) | v100(constB74) | ((~v101(constB74)) | (~v110(constB74)))),
% 7.40/5.31 inference(tautology,[status(thm)],[])).
% 7.40/5.31 tff(9258,plain,
% 7.40/5.31 (v100(constB74)),
% 7.40/5.31 inference(unit_resolution,[status(thm)],[9257, 9256, 9184])).
% 7.40/5.31 tff(9259,plain,
% 7.40/5.31 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB74)) | (~(((~v90(constB74, bitIndex0)) <=> v129(constB74, bitIndex0)) | ((~v90(constB74, bitIndex2)) <=> v129(constB74, bitIndex2)) | ((~v90(constB74, bitIndex1)) <=> v129(constB74, bitIndex1)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB74)) | (~(((~v90(constB74, bitIndex0)) <=> v129(constB74, bitIndex0)) | ((~v90(constB74, bitIndex2)) <=> v129(constB74, bitIndex2)) | ((~v90(constB74, bitIndex1)) <=> v129(constB74, bitIndex1)))))),
% 7.40/5.31 inference(rewrite,[status(thm)],[])).
% 7.40/5.31 tff(9260,plain,
% 7.40/5.31 (((~v100(constB74)) | (~(((~v90(constB74, bitIndex2)) <=> v129(constB74, bitIndex2)) | ((~v90(constB74, bitIndex1)) <=> v129(constB74, bitIndex1)) | ((~v90(constB74, bitIndex0)) <=> v129(constB74, bitIndex0))))) <=> ((~v100(constB74)) | (~(((~v90(constB74, bitIndex0)) <=> v129(constB74, bitIndex0)) | ((~v90(constB74, bitIndex2)) <=> v129(constB74, bitIndex2)) | ((~v90(constB74, bitIndex1)) <=> v129(constB74, bitIndex1)))))),
% 7.40/5.31 inference(rewrite,[status(thm)],[])).
% 7.40/5.31 tff(9261,plain,
% 7.40/5.31 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB74)) | (~(((~v90(constB74, bitIndex2)) <=> v129(constB74, bitIndex2)) | ((~v90(constB74, bitIndex1)) <=> v129(constB74, bitIndex1)) | ((~v90(constB74, bitIndex0)) <=> v129(constB74, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB74)) | (~(((~v90(constB74, bitIndex0)) <=> v129(constB74, bitIndex0)) | ((~v90(constB74, bitIndex2)) <=> v129(constB74, bitIndex2)) | ((~v90(constB74, bitIndex1)) <=> v129(constB74, bitIndex1))))))),
% 7.40/5.32 inference(monotonicity,[status(thm)],[9260])).
% 7.40/5.32 tff(9262,plain,
% 7.40/5.32 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB74)) | (~(((~v90(constB74, bitIndex2)) <=> v129(constB74, bitIndex2)) | ((~v90(constB74, bitIndex1)) <=> v129(constB74, bitIndex1)) | ((~v90(constB74, bitIndex0)) <=> v129(constB74, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB74)) | (~(((~v90(constB74, bitIndex0)) <=> v129(constB74, bitIndex0)) | ((~v90(constB74, bitIndex2)) <=> v129(constB74, bitIndex2)) | ((~v90(constB74, bitIndex1)) <=> v129(constB74, bitIndex1)))))),
% 7.40/5.32 inference(transitivity,[status(thm)],[9261, 9259])).
% 7.40/5.32 tff(9263,plain,
% 7.40/5.32 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB74)) | (~(((~v90(constB74, bitIndex2)) <=> v129(constB74, bitIndex2)) | ((~v90(constB74, bitIndex1)) <=> v129(constB74, bitIndex1)) | ((~v90(constB74, bitIndex0)) <=> v129(constB74, bitIndex0)))))),
% 7.40/5.32 inference(quant_inst,[status(thm)],[])).
% 7.40/5.32 tff(9264,plain,
% 7.40/5.32 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB74)) | (~(((~v90(constB74, bitIndex0)) <=> v129(constB74, bitIndex0)) | ((~v90(constB74, bitIndex2)) <=> v129(constB74, bitIndex2)) | ((~v90(constB74, bitIndex1)) <=> v129(constB74, bitIndex1))))),
% 7.40/5.32 inference(modus_ponens,[status(thm)],[9263, 9262])).
% 7.40/5.32 tff(9265,plain,
% 7.40/5.32 ((~v100(constB74)) | (~(((~v90(constB74, bitIndex0)) <=> v129(constB74, bitIndex0)) | ((~v90(constB74, bitIndex2)) <=> v129(constB74, bitIndex2)) | ((~v90(constB74, bitIndex1)) <=> v129(constB74, bitIndex1))))),
% 7.40/5.32 inference(unit_resolution,[status(thm)],[9264, 3429])).
% 7.40/5.32 tff(9266,plain,
% 7.40/5.32 (~(((~v90(constB74, bitIndex0)) <=> v129(constB74, bitIndex0)) | ((~v90(constB74, bitIndex2)) <=> v129(constB74, bitIndex2)) | ((~v90(constB74, bitIndex1)) <=> v129(constB74, bitIndex1)))),
% 7.40/5.32 inference(unit_resolution,[status(thm)],[9265, 9258])).
% 7.40/5.32 tff(9267,plain,
% 7.40/5.32 ((((~v90(constB74, bitIndex0)) <=> v129(constB74, bitIndex0)) | ((~v90(constB74, bitIndex2)) <=> v129(constB74, bitIndex2)) | ((~v90(constB74, bitIndex1)) <=> v129(constB74, bitIndex1))) | (~((~v90(constB74, bitIndex0)) <=> v129(constB74, bitIndex0)))),
% 7.40/5.32 inference(tautology,[status(thm)],[])).
% 7.40/5.32 tff(9268,plain,
% 7.40/5.32 (~((~v90(constB74, bitIndex0)) <=> v129(constB74, bitIndex0))),
% 7.40/5.32 inference(unit_resolution,[status(thm)],[9267, 9266])).
% 7.40/5.32 tff(9269,plain,
% 7.40/5.32 (((~v90(constB74, bitIndex0)) <=> v129(constB74, bitIndex0)) | (~v90(constB74, bitIndex0)) | v129(constB74, bitIndex0)),
% 7.40/5.32 inference(tautology,[status(thm)],[])).
% 7.40/5.32 tff(9270,plain,
% 7.40/5.32 (~v90(constB74, bitIndex0)),
% 7.40/5.32 inference(unit_resolution,[status(thm)],[9269, 9268, 9180])).
% 7.40/5.32 tff(9271,plain,
% 7.40/5.32 (((~v90(constB75, bitIndex0)) <=> v90(constB74, bitIndex0)) | (~v90(constB75, bitIndex0)) | v90(constB74, bitIndex0)),
% 7.40/5.32 inference(tautology,[status(thm)],[])).
% 7.40/5.32 tff(9272,plain,
% 7.40/5.32 (~v90(constB75, bitIndex0)),
% 7.40/5.32 inference(unit_resolution,[status(thm)],[9271, 9270, 764])).
% 7.40/5.32 tff(9273,plain,
% 7.40/5.32 ((v90(constB75, bitIndex1) | v90(constB75, bitIndex2) | (~v90(constB75, bitIndex0))) | v90(constB75, bitIndex0)),
% 7.40/5.32 inference(tautology,[status(thm)],[])).
% 7.40/5.32 tff(9274,plain,
% 7.40/5.32 (v90(constB75, bitIndex1) | v90(constB75, bitIndex2) | (~v90(constB75, bitIndex0))),
% 7.40/5.32 inference(unit_resolution,[status(thm)],[9273, 9272])).
% 7.40/5.32 tff(9275,plain,
% 7.40/5.32 ((~(v120(constB75) <=> (~(v90(constB75, bitIndex1) | v90(constB75, bitIndex2) | (~v90(constB75, bitIndex0)))))) | (~v120(constB75)) | (~(v90(constB75, bitIndex1) | v90(constB75, bitIndex2) | (~v90(constB75, bitIndex0))))),
% 7.40/5.32 inference(tautology,[status(thm)],[])).
% 7.40/5.32 tff(9276,plain,
% 7.40/5.32 (~v120(constB75)),
% 7.40/5.32 inference(unit_resolution,[status(thm)],[9275, 9274, 728])).
% 7.40/5.32 tff(9277,plain,
% 7.40/5.32 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB75) <=> (~(v90(constB75, bitIndex1) | (~v90(constB75, bitIndex2)) | (~v90(constB75, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB75) <=> (~(v90(constB75, bitIndex1) | (~v90(constB75, bitIndex2)) | (~v90(constB75, bitIndex0))))))),
% 7.40/5.32 inference(rewrite,[status(thm)],[])).
% 7.40/5.32 tff(9278,plain,
% 7.40/5.32 ((v124(constB75) <=> (~(v90(constB75, bitIndex1) | (~v90(constB75, bitIndex0)) | (~v90(constB75, bitIndex2))))) <=> (v124(constB75) <=> (~(v90(constB75, bitIndex1) | (~v90(constB75, bitIndex2)) | (~v90(constB75, bitIndex0)))))),
% 7.40/5.32 inference(rewrite,[status(thm)],[])).
% 7.40/5.32 tff(9279,plain,
% 7.40/5.32 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB75) <=> (~(v90(constB75, bitIndex1) | (~v90(constB75, bitIndex0)) | (~v90(constB75, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB75) <=> (~(v90(constB75, bitIndex1) | (~v90(constB75, bitIndex2)) | (~v90(constB75, bitIndex0))))))),
% 7.40/5.32 inference(monotonicity,[status(thm)],[9278])).
% 7.40/5.32 tff(9280,plain,
% 7.40/5.32 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB75) <=> (~(v90(constB75, bitIndex1) | (~v90(constB75, bitIndex0)) | (~v90(constB75, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB75) <=> (~(v90(constB75, bitIndex1) | (~v90(constB75, bitIndex2)) | (~v90(constB75, bitIndex0))))))),
% 7.40/5.32 inference(transitivity,[status(thm)],[9279, 9277])).
% 7.40/5.32 tff(9281,plain,
% 7.40/5.32 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB75) <=> (~(v90(constB75, bitIndex1) | (~v90(constB75, bitIndex0)) | (~v90(constB75, bitIndex2)))))),
% 7.40/5.32 inference(quant_inst,[status(thm)],[])).
% 7.40/5.32 tff(9282,plain,
% 7.40/5.32 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB75) <=> (~(v90(constB75, bitIndex1) | (~v90(constB75, bitIndex2)) | (~v90(constB75, bitIndex0)))))),
% 7.40/5.32 inference(modus_ponens,[status(thm)],[9281, 9280])).
% 7.40/5.32 tff(9283,plain,
% 7.40/5.32 (v124(constB75) <=> (~(v90(constB75, bitIndex1) | (~v90(constB75, bitIndex2)) | (~v90(constB75, bitIndex0))))),
% 7.40/5.32 inference(unit_resolution,[status(thm)],[9282, 3613])).
% 7.40/5.32 tff(9284,plain,
% 7.40/5.32 ((v90(constB75, bitIndex1) | (~v90(constB75, bitIndex2)) | (~v90(constB75, bitIndex0))) | v90(constB75, bitIndex0)),
% 7.40/5.32 inference(tautology,[status(thm)],[])).
% 7.40/5.32 tff(9285,plain,
% 7.40/5.32 (v90(constB75, bitIndex1) | (~v90(constB75, bitIndex2)) | (~v90(constB75, bitIndex0))),
% 7.40/5.32 inference(unit_resolution,[status(thm)],[9284, 9272])).
% 7.40/5.32 tff(9286,plain,
% 7.40/5.32 ((~(v124(constB75) <=> (~(v90(constB75, bitIndex1) | (~v90(constB75, bitIndex2)) | (~v90(constB75, bitIndex0)))))) | (~v124(constB75)) | (~(v90(constB75, bitIndex1) | (~v90(constB75, bitIndex2)) | (~v90(constB75, bitIndex0))))),
% 7.40/5.32 inference(tautology,[status(thm)],[])).
% 7.40/5.32 tff(9287,plain,
% 7.40/5.32 (~v124(constB75)),
% 7.40/5.32 inference(unit_resolution,[status(thm)],[9286, 9285, 9283])).
% 7.40/5.32 tff(9288,plain,
% 7.40/5.32 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB75) <=> (~(v90(constB75, bitIndex1) | v90(constB75, bitIndex0) | (~v90(constB75, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB75) <=> (~(v90(constB75, bitIndex1) | v90(constB75, bitIndex0) | (~v90(constB75, bitIndex2))))))),
% 7.40/5.32 inference(rewrite,[status(thm)],[])).
% 7.40/5.32 tff(9289,plain,
% 7.40/5.32 ((v123(constB75) <=> (~(v90(constB75, bitIndex0) | v90(constB75, bitIndex1) | (~v90(constB75, bitIndex2))))) <=> (v123(constB75) <=> (~(v90(constB75, bitIndex1) | v90(constB75, bitIndex0) | (~v90(constB75, bitIndex2)))))),
% 7.40/5.32 inference(rewrite,[status(thm)],[])).
% 7.40/5.32 tff(9290,plain,
% 7.40/5.32 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB75) <=> (~(v90(constB75, bitIndex0) | v90(constB75, bitIndex1) | (~v90(constB75, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB75) <=> (~(v90(constB75, bitIndex1) | v90(constB75, bitIndex0) | (~v90(constB75, bitIndex2))))))),
% 7.40/5.32 inference(monotonicity,[status(thm)],[9289])).
% 7.40/5.32 tff(9291,plain,
% 7.40/5.32 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB75) <=> (~(v90(constB75, bitIndex0) | v90(constB75, bitIndex1) | (~v90(constB75, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB75) <=> (~(v90(constB75, bitIndex1) | v90(constB75, bitIndex0) | (~v90(constB75, bitIndex2))))))),
% 7.40/5.32 inference(transitivity,[status(thm)],[9290, 9288])).
% 7.40/5.32 tff(9292,plain,
% 7.40/5.32 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB75) <=> (~(v90(constB75, bitIndex0) | v90(constB75, bitIndex1) | (~v90(constB75, bitIndex2)))))),
% 7.40/5.32 inference(quant_inst,[status(thm)],[])).
% 7.40/5.32 tff(9293,plain,
% 7.40/5.32 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB75) <=> (~(v90(constB75, bitIndex1) | v90(constB75, bitIndex0) | (~v90(constB75, bitIndex2)))))),
% 7.40/5.32 inference(modus_ponens,[status(thm)],[9292, 9291])).
% 7.40/5.32 tff(9294,plain,
% 7.40/5.32 (v123(constB75) <=> (~(v90(constB75, bitIndex1) | v90(constB75, bitIndex0) | (~v90(constB75, bitIndex2))))),
% 7.40/5.32 inference(unit_resolution,[status(thm)],[9293, 800])).
% 7.40/5.32 tff(9295,plain,
% 7.40/5.32 ((((~v90(constB75, bitIndex1)) <=> v90(constB74, bitIndex1)) | ((~v90(constB75, bitIndex2)) <=> v90(constB74, bitIndex2)) | ((~v90(constB75, bitIndex0)) <=> v90(constB74, bitIndex0))) | (~((~v90(constB75, bitIndex1)) <=> v90(constB74, bitIndex1)))),
% 7.40/5.32 inference(tautology,[status(thm)],[])).
% 7.40/5.32 tff(9296,plain,
% 7.40/5.32 (~((~v90(constB75, bitIndex1)) <=> v90(constB74, bitIndex1))),
% 7.40/5.32 inference(unit_resolution,[status(thm)],[9295, 762])).
% 7.40/5.32 tff(9297,plain,
% 7.40/5.32 ((((~v129(constB74, bitIndex2)) <=> v127(constB73, bitIndex2)) | ((~v129(constB74, bitIndex1)) <=> v127(constB73, bitIndex1)) | ((~v129(constB74, bitIndex0)) <=> v127(constB73, bitIndex0))) | (~((~v129(constB74, bitIndex1)) <=> v127(constB73, bitIndex1)))),
% 7.40/5.32 inference(tautology,[status(thm)],[])).
% 7.40/5.32 tff(9298,plain,
% 7.40/5.32 (~((~v129(constB74, bitIndex1)) <=> v127(constB73, bitIndex1))),
% 7.40/5.32 inference(unit_resolution,[status(thm)],[9297, 771])).
% 7.40/5.32 tff(9299,plain,
% 7.40/5.32 ((((~v127(constB73, bitIndex2)) <=> v130(constB73, bitIndex2)) | ((~v127(constB73, bitIndex1)) <=> v130(constB73, bitIndex1)) | ((~v127(constB73, bitIndex0)) <=> v130(constB73, bitIndex0))) | (~((~v127(constB73, bitIndex1)) <=> v130(constB73, bitIndex1)))),
% 7.40/5.32 inference(tautology,[status(thm)],[])).
% 7.40/5.32 tff(9300,plain,
% 7.40/5.32 (~((~v127(constB73, bitIndex1)) <=> v130(constB73, bitIndex1))),
% 7.40/5.32 inference(unit_resolution,[status(thm)],[9299, 785])).
% 7.40/5.32 tff(9301,plain,
% 7.40/5.32 ((v130(constB73, bitIndex0) | (~v130(constB73, bitIndex2)) | (~v130(constB73, bitIndex1))) | v130(constB73, bitIndex1)),
% 7.40/5.32 inference(tautology,[status(thm)],[])).
% 7.40/5.32 tff(9302,plain,
% 7.40/5.32 (v130(constB73, bitIndex1)),
% 7.40/5.32 inference(unit_resolution,[status(thm)],[9301, 9174])).
% 7.40/5.32 tff(9303,plain,
% 7.40/5.32 (((~v127(constB73, bitIndex1)) <=> v130(constB73, bitIndex1)) | v127(constB73, bitIndex1) | (~v130(constB73, bitIndex1))),
% 7.40/5.32 inference(tautology,[status(thm)],[])).
% 7.40/5.32 tff(9304,plain,
% 7.40/5.32 (v127(constB73, bitIndex1)),
% 7.40/5.32 inference(unit_resolution,[status(thm)],[9303, 9302, 9300])).
% 7.40/5.32 tff(9305,plain,
% 7.40/5.32 (((~v129(constB74, bitIndex1)) <=> v127(constB73, bitIndex1)) | v129(constB74, bitIndex1) | (~v127(constB73, bitIndex1))),
% 7.40/5.32 inference(tautology,[status(thm)],[])).
% 7.40/5.32 tff(9306,plain,
% 7.40/5.32 (v129(constB74, bitIndex1)),
% 7.40/5.32 inference(unit_resolution,[status(thm)],[9305, 9304, 9298])).
% 7.40/5.32 tff(9307,plain,
% 7.40/5.32 ((((~v90(constB74, bitIndex0)) <=> v129(constB74, bitIndex0)) | ((~v90(constB74, bitIndex2)) <=> v129(constB74, bitIndex2)) | ((~v90(constB74, bitIndex1)) <=> v129(constB74, bitIndex1))) | (~((~v90(constB74, bitIndex1)) <=> v129(constB74, bitIndex1)))),
% 7.40/5.32 inference(tautology,[status(thm)],[])).
% 7.40/5.32 tff(9308,plain,
% 7.40/5.32 (~((~v90(constB74, bitIndex1)) <=> v129(constB74, bitIndex1))),
% 7.40/5.32 inference(unit_resolution,[status(thm)],[9307, 9266])).
% 7.40/5.32 tff(9309,plain,
% 7.40/5.32 (((~v90(constB74, bitIndex1)) <=> v129(constB74, bitIndex1)) | v90(constB74, bitIndex1) | (~v129(constB74, bitIndex1))),
% 7.40/5.32 inference(tautology,[status(thm)],[])).
% 7.40/5.32 tff(9310,plain,
% 7.40/5.32 (v90(constB74, bitIndex1)),
% 7.40/5.32 inference(unit_resolution,[status(thm)],[9309, 9308, 9306])).
% 7.40/5.32 tff(9311,plain,
% 7.40/5.32 (((~v90(constB75, bitIndex1)) <=> v90(constB74, bitIndex1)) | v90(constB75, bitIndex1) | (~v90(constB74, bitIndex1))),
% 7.40/5.32 inference(tautology,[status(thm)],[])).
% 7.40/5.32 tff(9312,plain,
% 7.40/5.32 (v90(constB75, bitIndex1)),
% 7.40/5.32 inference(unit_resolution,[status(thm)],[9311, 9310, 9296])).
% 7.40/5.32 tff(9313,plain,
% 7.40/5.32 ((v90(constB75, bitIndex1) | v90(constB75, bitIndex0) | (~v90(constB75, bitIndex2))) | (~v90(constB75, bitIndex1))),
% 7.40/5.32 inference(tautology,[status(thm)],[])).
% 7.40/5.32 tff(9314,plain,
% 7.40/5.32 (v90(constB75, bitIndex1) | v90(constB75, bitIndex0) | (~v90(constB75, bitIndex2))),
% 7.40/5.32 inference(unit_resolution,[status(thm)],[9313, 9312])).
% 7.40/5.32 tff(9315,plain,
% 7.40/5.32 ((~(v123(constB75) <=> (~(v90(constB75, bitIndex1) | v90(constB75, bitIndex0) | (~v90(constB75, bitIndex2)))))) | (~v123(constB75)) | (~(v90(constB75, bitIndex1) | v90(constB75, bitIndex0) | (~v90(constB75, bitIndex2))))),
% 7.40/5.32 inference(tautology,[status(thm)],[])).
% 7.40/5.32 tff(9316,plain,
% 7.40/5.32 (~v123(constB75)),
% 7.40/5.32 inference(unit_resolution,[status(thm)],[9315, 9314, 9294])).
% 7.40/5.32 tff(9317,plain,
% 7.40/5.32 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB75) <=> (~(v90(constB75, bitIndex2) | (~v90(constB75, bitIndex1)) | (~v90(constB75, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB75) <=> (~(v90(constB75, bitIndex2) | (~v90(constB75, bitIndex1)) | (~v90(constB75, bitIndex0))))))),
% 7.40/5.32 inference(rewrite,[status(thm)],[])).
% 7.40/5.32 tff(9318,plain,
% 7.40/5.32 ((v122(constB75) <=> (~(v90(constB75, bitIndex2) | (~v90(constB75, bitIndex0)) | (~v90(constB75, bitIndex1))))) <=> (v122(constB75) <=> (~(v90(constB75, bitIndex2) | (~v90(constB75, bitIndex1)) | (~v90(constB75, bitIndex0)))))),
% 7.40/5.32 inference(rewrite,[status(thm)],[])).
% 7.40/5.32 tff(9319,plain,
% 7.40/5.32 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB75) <=> (~(v90(constB75, bitIndex2) | (~v90(constB75, bitIndex0)) | (~v90(constB75, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB75) <=> (~(v90(constB75, bitIndex2) | (~v90(constB75, bitIndex1)) | (~v90(constB75, bitIndex0))))))),
% 7.40/5.32 inference(monotonicity,[status(thm)],[9318])).
% 7.40/5.32 tff(9320,plain,
% 7.40/5.32 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB75) <=> (~(v90(constB75, bitIndex2) | (~v90(constB75, bitIndex0)) | (~v90(constB75, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB75) <=> (~(v90(constB75, bitIndex2) | (~v90(constB75, bitIndex1)) | (~v90(constB75, bitIndex0))))))),
% 7.40/5.32 inference(transitivity,[status(thm)],[9319, 9317])).
% 7.40/5.32 tff(9321,plain,
% 7.40/5.32 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB75) <=> (~(v90(constB75, bitIndex2) | (~v90(constB75, bitIndex0)) | (~v90(constB75, bitIndex1)))))),
% 7.40/5.32 inference(quant_inst,[status(thm)],[])).
% 7.40/5.32 tff(9322,plain,
% 7.40/5.32 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB75) <=> (~(v90(constB75, bitIndex2) | (~v90(constB75, bitIndex1)) | (~v90(constB75, bitIndex0)))))),
% 7.40/5.32 inference(modus_ponens,[status(thm)],[9321, 9320])).
% 7.40/5.32 tff(9323,plain,
% 7.40/5.32 (v122(constB75) <=> (~(v90(constB75, bitIndex2) | (~v90(constB75, bitIndex1)) | (~v90(constB75, bitIndex0))))),
% 7.40/5.32 inference(unit_resolution,[status(thm)],[9322, 879])).
% 7.40/5.32 tff(9324,plain,
% 7.40/5.32 ((v90(constB75, bitIndex2) | (~v90(constB75, bitIndex1)) | (~v90(constB75, bitIndex0))) | v90(constB75, bitIndex0)),
% 7.40/5.32 inference(tautology,[status(thm)],[])).
% 7.40/5.32 tff(9325,plain,
% 7.40/5.32 (v90(constB75, bitIndex2) | (~v90(constB75, bitIndex1)) | (~v90(constB75, bitIndex0))),
% 7.40/5.32 inference(unit_resolution,[status(thm)],[9324, 9272])).
% 7.40/5.32 tff(9326,plain,
% 7.40/5.32 ((~(v122(constB75) <=> (~(v90(constB75, bitIndex2) | (~v90(constB75, bitIndex1)) | (~v90(constB75, bitIndex0)))))) | (~v122(constB75)) | (~(v90(constB75, bitIndex2) | (~v90(constB75, bitIndex1)) | (~v90(constB75, bitIndex0))))),
% 7.40/5.32 inference(tautology,[status(thm)],[])).
% 7.40/5.32 tff(9327,plain,
% 7.40/5.32 (~v122(constB75)),
% 7.40/5.32 inference(unit_resolution,[status(thm)],[9326, 9325, 9323])).
% 7.40/5.32 tff(9328,plain,
% 7.40/5.32 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB75) <=> (~(v90(constB75, bitIndex2) | v90(constB75, bitIndex0) | (~v90(constB75, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB75) <=> (~(v90(constB75, bitIndex2) | v90(constB75, bitIndex0) | (~v90(constB75, bitIndex1))))))),
% 7.40/5.32 inference(rewrite,[status(thm)],[])).
% 7.40/5.32 tff(9329,plain,
% 7.40/5.32 ((v121(constB75) <=> (~(v90(constB75, bitIndex0) | v90(constB75, bitIndex2) | (~v90(constB75, bitIndex1))))) <=> (v121(constB75) <=> (~(v90(constB75, bitIndex2) | v90(constB75, bitIndex0) | (~v90(constB75, bitIndex1)))))),
% 7.40/5.32 inference(rewrite,[status(thm)],[])).
% 7.40/5.32 tff(9330,plain,
% 7.40/5.32 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB75) <=> (~(v90(constB75, bitIndex0) | v90(constB75, bitIndex2) | (~v90(constB75, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB75) <=> (~(v90(constB75, bitIndex2) | v90(constB75, bitIndex0) | (~v90(constB75, bitIndex1))))))),
% 7.40/5.32 inference(monotonicity,[status(thm)],[9329])).
% 7.40/5.32 tff(9331,plain,
% 7.40/5.32 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB75) <=> (~(v90(constB75, bitIndex0) | v90(constB75, bitIndex2) | (~v90(constB75, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB75) <=> (~(v90(constB75, bitIndex2) | v90(constB75, bitIndex0) | (~v90(constB75, bitIndex1))))))),
% 7.40/5.32 inference(transitivity,[status(thm)],[9330, 9328])).
% 7.40/5.32 tff(9332,plain,
% 7.40/5.32 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB75) <=> (~(v90(constB75, bitIndex0) | v90(constB75, bitIndex2) | (~v90(constB75, bitIndex1)))))),
% 7.40/5.32 inference(quant_inst,[status(thm)],[])).
% 7.40/5.32 tff(9333,plain,
% 7.40/5.32 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB75) <=> (~(v90(constB75, bitIndex2) | v90(constB75, bitIndex0) | (~v90(constB75, bitIndex1)))))),
% 7.40/5.32 inference(modus_ponens,[status(thm)],[9332, 9331])).
% 7.40/5.32 tff(9334,plain,
% 7.40/5.32 (v121(constB75) <=> (~(v90(constB75, bitIndex2) | v90(constB75, bitIndex0) | (~v90(constB75, bitIndex1))))),
% 7.40/5.32 inference(unit_resolution,[status(thm)],[9333, 586])).
% 7.40/5.32 tff(9335,plain,
% 7.40/5.32 ((((~v90(constB75, bitIndex1)) <=> v90(constB74, bitIndex1)) | ((~v90(constB75, bitIndex2)) <=> v90(constB74, bitIndex2)) | ((~v90(constB75, bitIndex0)) <=> v90(constB74, bitIndex0))) | (~((~v90(constB75, bitIndex2)) <=> v90(constB74, bitIndex2)))),
% 7.40/5.32 inference(tautology,[status(thm)],[])).
% 7.40/5.32 tff(9336,plain,
% 7.40/5.32 (~((~v90(constB75, bitIndex2)) <=> v90(constB74, bitIndex2))),
% 7.40/5.32 inference(unit_resolution,[status(thm)],[9335, 762])).
% 7.40/5.32 tff(9337,plain,
% 7.40/5.32 ((((~v129(constB74, bitIndex2)) <=> v127(constB73, bitIndex2)) | ((~v129(constB74, bitIndex1)) <=> v127(constB73, bitIndex1)) | ((~v129(constB74, bitIndex0)) <=> v127(constB73, bitIndex0))) | (~((~v129(constB74, bitIndex2)) <=> v127(constB73, bitIndex2)))),
% 7.40/5.32 inference(tautology,[status(thm)],[])).
% 7.40/5.32 tff(9338,plain,
% 7.40/5.32 (~((~v129(constB74, bitIndex2)) <=> v127(constB73, bitIndex2))),
% 7.40/5.32 inference(unit_resolution,[status(thm)],[9337, 771])).
% 7.40/5.32 tff(9339,plain,
% 7.40/5.32 ((((~v127(constB73, bitIndex2)) <=> v130(constB73, bitIndex2)) | ((~v127(constB73, bitIndex1)) <=> v130(constB73, bitIndex1)) | ((~v127(constB73, bitIndex0)) <=> v130(constB73, bitIndex0))) | (~((~v127(constB73, bitIndex2)) <=> v130(constB73, bitIndex2)))),
% 7.40/5.32 inference(tautology,[status(thm)],[])).
% 7.40/5.32 tff(9340,plain,
% 7.40/5.32 (~((~v127(constB73, bitIndex2)) <=> v130(constB73, bitIndex2))),
% 7.40/5.32 inference(unit_resolution,[status(thm)],[9339, 785])).
% 7.40/5.32 tff(9341,plain,
% 7.40/5.32 ((v130(constB73, bitIndex0) | (~v130(constB73, bitIndex2)) | (~v130(constB73, bitIndex1))) | v130(constB73, bitIndex2)),
% 7.40/5.32 inference(tautology,[status(thm)],[])).
% 7.40/5.32 tff(9342,plain,
% 7.40/5.32 (v130(constB73, bitIndex2)),
% 7.40/5.32 inference(unit_resolution,[status(thm)],[9341, 9174])).
% 7.40/5.32 tff(9343,plain,
% 7.40/5.32 (((~v127(constB73, bitIndex2)) <=> v130(constB73, bitIndex2)) | v127(constB73, bitIndex2) | (~v130(constB73, bitIndex2))),
% 7.40/5.32 inference(tautology,[status(thm)],[])).
% 7.40/5.32 tff(9344,plain,
% 7.40/5.32 (v127(constB73, bitIndex2)),
% 7.40/5.32 inference(unit_resolution,[status(thm)],[9343, 9342, 9340])).
% 7.40/5.32 tff(9345,plain,
% 7.40/5.32 (((~v129(constB74, bitIndex2)) <=> v127(constB73, bitIndex2)) | v129(constB74, bitIndex2) | (~v127(constB73, bitIndex2))),
% 7.40/5.32 inference(tautology,[status(thm)],[])).
% 7.40/5.32 tff(9346,plain,
% 7.40/5.32 (v129(constB74, bitIndex2)),
% 7.40/5.32 inference(unit_resolution,[status(thm)],[9345, 9344, 9338])).
% 7.40/5.32 tff(9347,plain,
% 7.40/5.32 ((((~v90(constB74, bitIndex0)) <=> v129(constB74, bitIndex0)) | ((~v90(constB74, bitIndex2)) <=> v129(constB74, bitIndex2)) | ((~v90(constB74, bitIndex1)) <=> v129(constB74, bitIndex1))) | (~((~v90(constB74, bitIndex2)) <=> v129(constB74, bitIndex2)))),
% 7.40/5.32 inference(tautology,[status(thm)],[])).
% 7.40/5.32 tff(9348,plain,
% 7.40/5.32 (~((~v90(constB74, bitIndex2)) <=> v129(constB74, bitIndex2))),
% 7.40/5.32 inference(unit_resolution,[status(thm)],[9347, 9266])).
% 7.40/5.32 tff(9349,plain,
% 7.40/5.32 (((~v90(constB74, bitIndex2)) <=> v129(constB74, bitIndex2)) | v90(constB74, bitIndex2) | (~v129(constB74, bitIndex2))),
% 7.40/5.32 inference(tautology,[status(thm)],[])).
% 7.40/5.32 tff(9350,plain,
% 7.40/5.32 (v90(constB74, bitIndex2)),
% 7.40/5.32 inference(unit_resolution,[status(thm)],[9349, 9348, 9346])).
% 7.40/5.32 tff(9351,plain,
% 7.40/5.32 (((~v90(constB75, bitIndex2)) <=> v90(constB74, bitIndex2)) | v90(constB75, bitIndex2) | (~v90(constB74, bitIndex2))),
% 7.40/5.33 inference(tautology,[status(thm)],[])).
% 7.40/5.33 tff(9352,plain,
% 7.40/5.33 (v90(constB75, bitIndex2)),
% 7.40/5.33 inference(unit_resolution,[status(thm)],[9351, 9350, 9336])).
% 7.40/5.33 tff(9353,plain,
% 7.40/5.33 ((v90(constB75, bitIndex2) | v90(constB75, bitIndex0) | (~v90(constB75, bitIndex1))) | (~v90(constB75, bitIndex2))),
% 7.40/5.33 inference(tautology,[status(thm)],[])).
% 7.40/5.33 tff(9354,plain,
% 7.40/5.33 (v90(constB75, bitIndex2) | v90(constB75, bitIndex0) | (~v90(constB75, bitIndex1))),
% 7.40/5.33 inference(unit_resolution,[status(thm)],[9353, 9352])).
% 7.40/5.33 tff(9355,plain,
% 7.40/5.33 ((~(v121(constB75) <=> (~(v90(constB75, bitIndex2) | v90(constB75, bitIndex0) | (~v90(constB75, bitIndex1)))))) | (~v121(constB75)) | (~(v90(constB75, bitIndex2) | v90(constB75, bitIndex0) | (~v90(constB75, bitIndex1))))),
% 7.40/5.33 inference(tautology,[status(thm)],[])).
% 7.40/5.33 tff(9356,plain,
% 7.40/5.33 (~v121(constB75)),
% 7.40/5.33 inference(unit_resolution,[status(thm)],[9355, 9354, 9334])).
% 7.40/5.33 tff(9357,plain,
% 7.40/5.33 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB75) <=> (~(v90(constB75, bitIndex0) | v90(constB75, bitIndex1) | v90(constB75, bitIndex2))))),
% 7.40/5.33 inference(quant_inst,[status(thm)],[])).
% 7.40/5.33 tff(9358,plain,
% 7.40/5.33 (v119(constB75) <=> (~(v90(constB75, bitIndex0) | v90(constB75, bitIndex1) | v90(constB75, bitIndex2)))),
% 7.40/5.33 inference(unit_resolution,[status(thm)],[9357, 1085])).
% 7.40/5.33 tff(9359,plain,
% 7.40/5.33 ((v90(constB75, bitIndex0) | v90(constB75, bitIndex1) | v90(constB75, bitIndex2)) | (~v90(constB75, bitIndex2))),
% 7.40/5.33 inference(tautology,[status(thm)],[])).
% 7.40/5.33 tff(9360,plain,
% 7.40/5.33 (v90(constB75, bitIndex0) | v90(constB75, bitIndex1) | v90(constB75, bitIndex2)),
% 7.40/5.33 inference(unit_resolution,[status(thm)],[9359, 9352])).
% 7.40/5.33 tff(9361,plain,
% 7.40/5.33 ((~(v119(constB75) <=> (~(v90(constB75, bitIndex0) | v90(constB75, bitIndex1) | v90(constB75, bitIndex2))))) | (~v119(constB75)) | (~(v90(constB75, bitIndex0) | v90(constB75, bitIndex1) | v90(constB75, bitIndex2)))),
% 7.40/5.33 inference(tautology,[status(thm)],[])).
% 7.40/5.33 tff(9362,plain,
% 7.40/5.33 (~v119(constB75)),
% 7.40/5.33 inference(unit_resolution,[status(thm)],[9361, 9360, 9358])).
% 7.40/5.33 tff(9363,plain,
% 7.40/5.33 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v119(constB75) | v120(constB75) | v121(constB75) | v122(constB75) | v123(constB75) | v124(constB75) | (~(v130(constB75, bitIndex2) | v130(constB75, bitIndex1) | (~v130(constB75, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | v119(constB75) | v120(constB75) | v121(constB75) | v122(constB75) | v123(constB75) | v124(constB75) | (~(v130(constB75, bitIndex2) | v130(constB75, bitIndex1) | (~v130(constB75, bitIndex0)))))),
% 7.40/5.33 inference(rewrite,[status(thm)],[])).
% 7.40/5.33 tff(9364,plain,
% 7.40/5.33 ((v124(constB75) | v123(constB75) | v122(constB75) | v121(constB75) | v120(constB75) | v119(constB75) | (~(v130(constB75, bitIndex2) | v130(constB75, bitIndex1) | (~v130(constB75, bitIndex0))))) <=> (v119(constB75) | v120(constB75) | v121(constB75) | v122(constB75) | v123(constB75) | v124(constB75) | (~(v130(constB75, bitIndex2) | v130(constB75, bitIndex1) | (~v130(constB75, bitIndex0)))))),
% 7.40/5.33 inference(rewrite,[status(thm)],[])).
% 7.40/5.33 tff(9365,plain,
% 7.40/5.33 ((~(v130(constB75, bitIndex1) | v130(constB75, bitIndex2) | (~v130(constB75, bitIndex0)))) <=> (~(v130(constB75, bitIndex2) | v130(constB75, bitIndex1) | (~v130(constB75, bitIndex0))))),
% 7.40/5.33 inference(rewrite,[status(thm)],[])).
% 7.40/5.33 tff(9366,plain,
% 7.40/5.33 ((v124(constB75) | v123(constB75) | v122(constB75) | v121(constB75) | v120(constB75) | v119(constB75) | (~(v130(constB75, bitIndex1) | v130(constB75, bitIndex2) | (~v130(constB75, bitIndex0))))) <=> (v124(constB75) | v123(constB75) | v122(constB75) | v121(constB75) | v120(constB75) | v119(constB75) | (~(v130(constB75, bitIndex2) | v130(constB75, bitIndex1) | (~v130(constB75, bitIndex0)))))),
% 7.40/5.33 inference(monotonicity,[status(thm)],[9365])).
% 7.40/5.33 tff(9367,plain,
% 7.40/5.33 ((v124(constB75) | v123(constB75) | v122(constB75) | v121(constB75) | v120(constB75) | v119(constB75) | (~(v130(constB75, bitIndex1) | v130(constB75, bitIndex2) | (~v130(constB75, bitIndex0))))) <=> (v119(constB75) | v120(constB75) | v121(constB75) | v122(constB75) | v123(constB75) | v124(constB75) | (~(v130(constB75, bitIndex2) | v130(constB75, bitIndex1) | (~v130(constB75, bitIndex0)))))),
% 7.40/5.33 inference(transitivity,[status(thm)],[9366, 9364])).
% 7.40/5.33 tff(9368,plain,
% 7.40/5.33 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB75) | v123(constB75) | v122(constB75) | v121(constB75) | v120(constB75) | v119(constB75) | (~(v130(constB75, bitIndex1) | v130(constB75, bitIndex2) | (~v130(constB75, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v119(constB75) | v120(constB75) | v121(constB75) | v122(constB75) | v123(constB75) | v124(constB75) | (~(v130(constB75, bitIndex2) | v130(constB75, bitIndex1) | (~v130(constB75, bitIndex0))))))),
% 7.40/5.33 inference(monotonicity,[status(thm)],[9367])).
% 7.40/5.33 tff(9369,plain,
% 7.40/5.33 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB75) | v123(constB75) | v122(constB75) | v121(constB75) | v120(constB75) | v119(constB75) | (~(v130(constB75, bitIndex1) | v130(constB75, bitIndex2) | (~v130(constB75, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | v119(constB75) | v120(constB75) | v121(constB75) | v122(constB75) | v123(constB75) | v124(constB75) | (~(v130(constB75, bitIndex2) | v130(constB75, bitIndex1) | (~v130(constB75, bitIndex0)))))),
% 7.40/5.33 inference(transitivity,[status(thm)],[9368, 9363])).
% 7.40/5.33 tff(9370,plain,
% 7.40/5.33 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB75) | v123(constB75) | v122(constB75) | v121(constB75) | v120(constB75) | v119(constB75) | (~(v130(constB75, bitIndex1) | v130(constB75, bitIndex2) | (~v130(constB75, bitIndex0)))))),
% 7.40/5.33 inference(quant_inst,[status(thm)],[])).
% 7.40/5.33 tff(9371,plain,
% 7.40/5.33 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | v119(constB75) | v120(constB75) | v121(constB75) | v122(constB75) | v123(constB75) | v124(constB75) | (~(v130(constB75, bitIndex2) | v130(constB75, bitIndex1) | (~v130(constB75, bitIndex0))))),
% 7.40/5.33 inference(modus_ponens,[status(thm)],[9370, 9369])).
% 7.40/5.33 tff(9372,plain,
% 7.40/5.33 (v119(constB75) | v120(constB75) | v121(constB75) | v122(constB75) | v123(constB75) | v124(constB75) | (~(v130(constB75, bitIndex2) | v130(constB75, bitIndex1) | (~v130(constB75, bitIndex0))))),
% 7.40/5.33 inference(unit_resolution,[status(thm)],[9371, 3694])).
% 7.40/5.33 tff(9373,plain,
% 7.40/5.33 (~(v130(constB75, bitIndex2) | v130(constB75, bitIndex1) | (~v130(constB75, bitIndex0)))),
% 7.40/5.33 inference(unit_resolution,[status(thm)],[9372, 9362, 9356, 9327, 9316, 9287, 9276])).
% 7.40/5.33 tff(9374,plain,
% 7.40/5.33 ((v130(constB75, bitIndex2) | v130(constB75, bitIndex1) | (~v130(constB75, bitIndex0))) | (~v130(constB75, bitIndex2))),
% 7.40/5.33 inference(tautology,[status(thm)],[])).
% 7.40/5.33 tff(9375,plain,
% 7.40/5.33 (~v130(constB75, bitIndex2)),
% 7.40/5.33 inference(unit_resolution,[status(thm)],[9374, 9373])).
% 7.40/5.33 tff(9376,plain,
% 7.40/5.33 (((~v127(constB75, bitIndex2)) <=> v130(constB75, bitIndex2)) | (~v127(constB75, bitIndex2)) | v130(constB75, bitIndex2)),
% 7.40/5.33 inference(tautology,[status(thm)],[])).
% 7.40/5.33 tff(9377,plain,
% 7.40/5.33 (~v127(constB75, bitIndex2)),
% 7.40/5.33 inference(unit_resolution,[status(thm)],[9376, 9375, 726])).
% 7.40/5.33 tff(9378,plain,
% 7.40/5.33 (((~v129(constB76, bitIndex2)) <=> v127(constB75, bitIndex2)) | (~v129(constB76, bitIndex2)) | v127(constB75, bitIndex2)),
% 7.40/5.33 inference(tautology,[status(thm)],[])).
% 7.40/5.33 tff(9379,plain,
% 7.40/5.33 (~v129(constB76, bitIndex2)),
% 7.40/5.33 inference(unit_resolution,[status(thm)],[9378, 9377, 712])).
% 7.40/5.33 tff(9380,plain,
% 7.40/5.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB75, constB76)) | (v100(constB76) <=> (~((~v101(constB76)) | (~v110(constB76))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB75, constB76)) | (v100(constB76) <=> (~((~v101(constB76)) | (~v110(constB76))))))),
% 7.40/5.33 inference(rewrite,[status(thm)],[])).
% 7.40/5.33 tff(9381,plain,
% 7.40/5.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB75, constB76)) | (v100(constB76) <=> (~((~v101(constB76)) | (~v110(constB76))))))),
% 7.40/5.33 inference(quant_inst,[status(thm)],[])).
% 7.40/5.33 tff(9382,plain,
% 7.40/5.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB75, constB76)) | (v100(constB76) <=> (~((~v101(constB76)) | (~v110(constB76)))))),
% 7.40/5.33 inference(modus_ponens,[status(thm)],[9381, 9380])).
% 7.40/5.33 tff(9383,plain,
% 7.40/5.33 (v100(constB76) <=> (~((~v101(constB76)) | (~v110(constB76))))),
% 7.40/5.33 inference(unit_resolution,[status(thm)],[9382, 706, 445])).
% 7.40/5.33 tff(9384,plain,
% 7.40/5.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB75, constB76)) | (v101(constB76) <=> (~((~v1(constB76)) | (~v102(constB76))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB75, constB76)) | (v101(constB76) <=> (~((~v1(constB76)) | (~v102(constB76))))))),
% 7.40/5.33 inference(rewrite,[status(thm)],[])).
% 7.40/5.33 tff(9385,plain,
% 7.40/5.33 (((~nextState(constB75, constB76)) | (v101(constB76) <=> (~((~v102(constB76)) | (~v1(constB76)))))) <=> ((~nextState(constB75, constB76)) | (v101(constB76) <=> (~((~v1(constB76)) | (~v102(constB76))))))),
% 7.40/5.33 inference(rewrite,[status(thm)],[])).
% 7.40/5.33 tff(9386,plain,
% 7.40/5.33 (((~![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) <=> (~((~v1(constB76)) | (~v102(constB76)))))))),
% 7.40/5.33 inference(monotonicity,[status(thm)],[9385])).
% 7.40/5.33 tff(9387,plain,
% 7.40/5.33 (((~![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) <=> (~((~v1(constB76)) | (~v102(constB76))))))),
% 7.40/5.33 inference(transitivity,[status(thm)],[9386, 9384])).
% 7.40/5.33 tff(9388,plain,
% 7.40/5.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB75, constB76)) | (v101(constB76) <=> (~((~v102(constB76)) | (~v1(constB76))))))),
% 7.40/5.33 inference(quant_inst,[status(thm)],[])).
% 7.40/5.33 tff(9389,plain,
% 7.40/5.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB75, constB76)) | (v101(constB76) <=> (~((~v1(constB76)) | (~v102(constB76)))))),
% 7.40/5.33 inference(modus_ponens,[status(thm)],[9388, 9387])).
% 7.40/5.33 tff(9390,plain,
% 7.40/5.33 (v101(constB76) <=> (~((~v1(constB76)) | (~v102(constB76))))),
% 7.40/5.33 inference(unit_resolution,[status(thm)],[9389, 706, 465])).
% 7.40/5.33 tff(9391,plain,
% 7.40/5.33 (((~![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)))),
% 7.40/5.33 inference(rewrite,[status(thm)],[])).
% 7.40/5.33 tff(9392,plain,
% 7.40/5.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB75, constB76)) | ((~v102(constB76)) <=> v104(constB76)))),
% 7.40/5.33 inference(quant_inst,[status(thm)],[])).
% 7.40/5.33 tff(9393,plain,
% 7.40/5.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB75, constB76)) | ((~v102(constB76)) <=> v104(constB76))),
% 7.40/5.33 inference(modus_ponens,[status(thm)],[9392, 9391])).
% 7.40/5.33 tff(9394,plain,
% 7.40/5.33 ((~v102(constB76)) <=> v104(constB76)),
% 7.40/5.33 inference(unit_resolution,[status(thm)],[9393, 706, 3244])).
% 7.40/5.33 tff(9395,plain,
% 7.40/5.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB75, constB76)) | (v104(constB76) <=> v1(constB75)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB75, constB76)) | (v104(constB76) <=> v1(constB75)))),
% 7.40/5.33 inference(rewrite,[status(thm)],[])).
% 7.40/5.33 tff(9396,plain,
% 7.40/5.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB75, constB76)) | (v104(constB76) <=> v1(constB75)))),
% 7.40/5.33 inference(quant_inst,[status(thm)],[])).
% 7.40/5.33 tff(9397,plain,
% 7.40/5.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB75, constB76)) | (v104(constB76) <=> v1(constB75))),
% 7.40/5.33 inference(modus_ponens,[status(thm)],[9396, 9395])).
% 7.40/5.33 tff(9398,plain,
% 7.40/5.33 (v104(constB76) <=> v1(constB75)),
% 7.40/5.33 inference(unit_resolution,[status(thm)],[9397, 706, 3258])).
% 7.40/5.33 tff(9399,plain,
% 7.40/5.33 ((~(v104(constB76) <=> v1(constB75))) | (~v104(constB76)) | v1(constB75)),
% 7.40/5.33 inference(tautology,[status(thm)],[])).
% 7.40/5.33 tff(9400,plain,
% 7.40/5.33 ((~(v104(constB76) <=> v1(constB75))) | (~v104(constB76))),
% 7.40/5.33 inference(unit_resolution,[status(thm)],[9399, 745])).
% 7.40/5.33 tff(9401,plain,
% 7.40/5.33 (~v104(constB76)),
% 7.40/5.33 inference(unit_resolution,[status(thm)],[9400, 9398])).
% 7.40/5.33 tff(9402,plain,
% 7.40/5.33 ((~((~v102(constB76)) <=> v104(constB76))) | v102(constB76) | v104(constB76)),
% 7.40/5.33 inference(tautology,[status(thm)],[])).
% 7.40/5.33 tff(9403,plain,
% 7.40/5.33 (v102(constB76)),
% 7.40/5.33 inference(unit_resolution,[status(thm)],[9402, 9401, 9394])).
% 7.40/5.33 tff(9404,plain,
% 7.40/5.33 (v1(constB76) <=> v1(constB76)),
% 7.40/5.33 inference(rewrite,[status(thm)],[])).
% 7.40/5.33 tff(9405,axiom,(v1(constB76)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_76')).
% 7.40/5.33 tff(9406,plain,
% 7.40/5.33 (v1(constB76)),
% 7.40/5.33 inference(modus_ponens,[status(thm)],[9405, 9404])).
% 7.40/5.33 tff(9407,plain,
% 7.40/5.33 ((~((~v1(constB76)) | (~v102(constB76)))) | (~v1(constB76)) | (~v102(constB76))),
% 7.40/5.33 inference(tautology,[status(thm)],[])).
% 7.40/5.33 tff(9408,plain,
% 7.40/5.33 ((~((~v1(constB76)) | (~v102(constB76)))) | (~v102(constB76))),
% 7.40/5.33 inference(unit_resolution,[status(thm)],[9407, 9406])).
% 7.40/5.33 tff(9409,plain,
% 7.40/5.33 (~((~v1(constB76)) | (~v102(constB76)))),
% 7.40/5.33 inference(unit_resolution,[status(thm)],[9408, 9403])).
% 7.40/5.33 tff(9410,plain,
% 7.40/5.33 ((~(v101(constB76) <=> (~((~v1(constB76)) | (~v102(constB76)))))) | v101(constB76) | ((~v1(constB76)) | (~v102(constB76)))),
% 7.40/5.33 inference(tautology,[status(thm)],[])).
% 7.40/5.33 tff(9411,plain,
% 7.40/5.33 (v101(constB76)),
% 7.40/5.33 inference(unit_resolution,[status(thm)],[9410, 9409, 9390])).
% 7.40/5.33 tff(9412,plain,
% 7.40/5.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB75, constB76)) | (v110(constB76) <=> v108(constB75)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB75, constB76)) | (v110(constB76) <=> v108(constB75)))),
% 7.40/5.33 inference(rewrite,[status(thm)],[])).
% 7.40/5.33 tff(9413,plain,
% 7.40/5.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB75, constB76)) | (v110(constB76) <=> v108(constB75)))),
% 7.40/5.33 inference(quant_inst,[status(thm)],[])).
% 7.40/5.33 tff(9414,plain,
% 7.40/5.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB75, constB76)) | (v110(constB76) <=> v108(constB75))),
% 7.40/5.33 inference(modus_ponens,[status(thm)],[9413, 9412])).
% 7.40/5.33 tff(9415,plain,
% 7.40/5.33 (v110(constB76) <=> v108(constB75)),
% 7.40/5.33 inference(unit_resolution,[status(thm)],[9414, 706, 3285])).
% 7.40/5.33 tff(9416,plain,
% 7.40/5.33 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB75) <=> (v111(constB75) | v112(constB75)))),
% 7.40/5.33 inference(quant_inst,[status(thm)],[])).
% 7.40/5.33 tff(9417,plain,
% 7.40/5.33 (v108(constB75) <=> (v111(constB75) | v112(constB75))),
% 7.40/5.33 inference(unit_resolution,[status(thm)],[9416, 3296])).
% 7.40/5.33 tff(9418,plain,
% 7.40/5.33 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB75) <=> (~((~v113(constB75)) | (~v126(constB75)))))),
% 7.40/5.33 inference(quant_inst,[status(thm)],[])).
% 7.40/5.33 tff(9419,plain,
% 7.40/5.33 (v112(constB75) <=> (~((~v113(constB75)) | (~v126(constB75))))),
% 7.40/5.33 inference(unit_resolution,[status(thm)],[9418, 3308])).
% 7.40/5.33 tff(9420,plain,
% 7.40/5.33 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB75) <=> (v114(constB75) | v125(constB75)))),
% 7.40/5.33 inference(quant_inst,[status(thm)],[])).
% 7.40/5.33 tff(9421,plain,
% 7.40/5.33 (v113(constB75) <=> (v114(constB75) | v125(constB75))),
% 7.40/5.33 inference(unit_resolution,[status(thm)],[9420, 3317])).
% 7.40/5.33 tff(9422,plain,
% 7.40/5.33 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB75) <=> (~(v90(constB75, bitIndex0) | (~v90(constB75, bitIndex1)) | (~v90(constB75, bitIndex2)))))),
% 7.40/5.33 inference(quant_inst,[status(thm)],[])).
% 7.40/5.33 tff(9423,plain,
% 7.40/5.33 (v125(constB75) <=> (~(v90(constB75, bitIndex0) | (~v90(constB75, bitIndex1)) | (~v90(constB75, bitIndex2))))),
% 7.40/5.33 inference(unit_resolution,[status(thm)],[9422, 3766])).
% 7.40/5.33 tff(9424,plain,
% 7.40/5.33 ((~(v90(constB75, bitIndex0) | (~v90(constB75, bitIndex1)) | (~v90(constB75, bitIndex2)))) | v90(constB75, bitIndex0) | (~v90(constB75, bitIndex1)) | (~v90(constB75, bitIndex2))),
% 7.40/5.33 inference(tautology,[status(thm)],[])).
% 7.40/5.33 tff(9425,plain,
% 7.40/5.33 (~(v90(constB75, bitIndex0) | (~v90(constB75, bitIndex1)) | (~v90(constB75, bitIndex2)))),
% 7.40/5.33 inference(unit_resolution,[status(thm)],[9424, 9312, 9272, 9352])).
% 7.40/5.33 tff(9426,plain,
% 7.40/5.33 ((~(v125(constB75) <=> (~(v90(constB75, bitIndex0) | (~v90(constB75, bitIndex1)) | (~v90(constB75, bitIndex2)))))) | v125(constB75) | (v90(constB75, bitIndex0) | (~v90(constB75, bitIndex1)) | (~v90(constB75, bitIndex2)))),
% 7.40/5.33 inference(tautology,[status(thm)],[])).
% 7.40/5.33 tff(9427,plain,
% 7.40/5.33 (v125(constB75)),
% 7.40/5.33 inference(unit_resolution,[status(thm)],[9426, 9425, 9423])).
% 7.40/5.33 tff(9428,plain,
% 7.40/5.33 ((v114(constB75) | v125(constB75)) | (~v125(constB75))),
% 7.40/5.33 inference(tautology,[status(thm)],[])).
% 7.40/5.33 tff(9429,plain,
% 7.40/5.33 (v114(constB75) | v125(constB75)),
% 7.40/5.33 inference(unit_resolution,[status(thm)],[9428, 9427])).
% 7.40/5.33 tff(9430,plain,
% 7.40/5.33 ((~(v113(constB75) <=> (v114(constB75) | v125(constB75)))) | v113(constB75) | (~(v114(constB75) | v125(constB75)))),
% 7.40/5.33 inference(tautology,[status(thm)],[])).
% 7.40/5.33 tff(9431,plain,
% 7.40/5.33 (v113(constB75)),
% 7.40/5.33 inference(unit_resolution,[status(thm)],[9430, 9429, 9421])).
% 7.40/5.33 tff(9432,plain,
% 7.40/5.33 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB75)) <=> v111(constB75))),
% 7.40/5.33 inference(quant_inst,[status(thm)],[])).
% 7.40/5.33 tff(9433,plain,
% 7.40/5.33 ((~v126(constB75)) <=> v111(constB75)),
% 7.40/5.33 inference(unit_resolution,[status(thm)],[9432, 3396])).
% 7.40/5.33 tff(9434,plain,
% 7.40/5.33 ((~((~v126(constB75)) <=> v111(constB75))) | v126(constB75) | v111(constB75)),
% 7.40/5.33 inference(tautology,[status(thm)],[])).
% 7.40/5.33 tff(9435,plain,
% 7.40/5.33 ((~((~v126(constB75)) <=> v111(constB75))) | v126(constB75)),
% 7.40/5.33 inference(unit_resolution,[status(thm)],[9434, 719])).
% 7.40/5.33 tff(9436,plain,
% 7.40/5.33 (v126(constB75)),
% 7.40/5.33 inference(unit_resolution,[status(thm)],[9435, 9433])).
% 7.40/5.33 tff(9437,plain,
% 7.40/5.33 ((~((~v113(constB75)) | (~v126(constB75)))) | (~v113(constB75)) | (~v126(constB75))),
% 7.40/5.33 inference(tautology,[status(thm)],[])).
% 7.40/5.33 tff(9438,plain,
% 7.40/5.33 ((~((~v113(constB75)) | (~v126(constB75)))) | (~v113(constB75))),
% 7.40/5.33 inference(unit_resolution,[status(thm)],[9437, 9436])).
% 7.40/5.33 tff(9439,plain,
% 7.40/5.33 (~((~v113(constB75)) | (~v126(constB75)))),
% 7.40/5.33 inference(unit_resolution,[status(thm)],[9438, 9431])).
% 7.40/5.33 tff(9440,plain,
% 7.40/5.33 ((~(v112(constB75) <=> (~((~v113(constB75)) | (~v126(constB75)))))) | v112(constB75) | ((~v113(constB75)) | (~v126(constB75)))),
% 7.40/5.33 inference(tautology,[status(thm)],[])).
% 7.40/5.33 tff(9441,plain,
% 7.40/5.33 (v112(constB75)),
% 7.40/5.33 inference(unit_resolution,[status(thm)],[9440, 9439, 9419])).
% 7.40/5.33 tff(9442,plain,
% 7.40/5.33 ((v111(constB75) | v112(constB75)) | (~v112(constB75))),
% 7.40/5.33 inference(tautology,[status(thm)],[])).
% 7.40/5.33 tff(9443,plain,
% 7.40/5.33 (v111(constB75) | v112(constB75)),
% 7.40/5.33 inference(unit_resolution,[status(thm)],[9442, 9441])).
% 7.40/5.33 tff(9444,plain,
% 7.40/5.33 ((~(v108(constB75) <=> (v111(constB75) | v112(constB75)))) | v108(constB75) | (~(v111(constB75) | v112(constB75)))),
% 7.40/5.33 inference(tautology,[status(thm)],[])).
% 7.40/5.33 tff(9445,plain,
% 7.40/5.33 (v108(constB75)),
% 7.40/5.33 inference(unit_resolution,[status(thm)],[9444, 9443, 9417])).
% 7.40/5.33 tff(9446,plain,
% 7.40/5.33 ((~(v110(constB76) <=> v108(constB75))) | v110(constB76) | (~v108(constB75))),
% 7.40/5.33 inference(tautology,[status(thm)],[])).
% 7.40/5.33 tff(9447,plain,
% 7.40/5.33 (v110(constB76)),
% 7.40/5.33 inference(unit_resolution,[status(thm)],[9446, 9445, 9415])).
% 7.40/5.33 tff(9448,plain,
% 7.40/5.33 ((~((~v101(constB76)) | (~v110(constB76)))) | (~v101(constB76)) | (~v110(constB76))),
% 7.40/5.33 inference(tautology,[status(thm)],[])).
% 7.40/5.33 tff(9449,plain,
% 7.40/5.33 (~((~v101(constB76)) | (~v110(constB76)))),
% 7.40/5.33 inference(unit_resolution,[status(thm)],[9448, 9447, 9411])).
% 7.40/5.33 tff(9450,plain,
% 7.40/5.33 ((~(v100(constB76) <=> (~((~v101(constB76)) | (~v110(constB76)))))) | v100(constB76) | ((~v101(constB76)) | (~v110(constB76)))),
% 7.40/5.33 inference(tautology,[status(thm)],[])).
% 7.40/5.33 tff(9451,plain,
% 7.40/5.33 (v100(constB76)),
% 7.40/5.33 inference(unit_resolution,[status(thm)],[9450, 9449, 9383])).
% 7.40/5.33 tff(9452,plain,
% 7.40/5.33 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB76)) | (~(((~v90(constB76, bitIndex2)) <=> v129(constB76, bitIndex2)) | ((~v90(constB76, bitIndex1)) <=> v129(constB76, bitIndex1)) | ((~v90(constB76, bitIndex0)) <=> v129(constB76, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB76)) | (~(((~v90(constB76, bitIndex2)) <=> v129(constB76, bitIndex2)) | ((~v90(constB76, bitIndex1)) <=> v129(constB76, bitIndex1)) | ((~v90(constB76, bitIndex0)) <=> v129(constB76, bitIndex0)))))),
% 7.40/5.33 inference(rewrite,[status(thm)],[])).
% 7.40/5.33 tff(9453,plain,
% 7.40/5.33 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB76)) | (~(((~v90(constB76, bitIndex2)) <=> v129(constB76, bitIndex2)) | ((~v90(constB76, bitIndex1)) <=> v129(constB76, bitIndex1)) | ((~v90(constB76, bitIndex0)) <=> v129(constB76, bitIndex0)))))),
% 7.40/5.33 inference(quant_inst,[status(thm)],[])).
% 7.40/5.33 tff(9454,plain,
% 7.40/5.33 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB76)) | (~(((~v90(constB76, bitIndex2)) <=> v129(constB76, bitIndex2)) | ((~v90(constB76, bitIndex1)) <=> v129(constB76, bitIndex1)) | ((~v90(constB76, bitIndex0)) <=> v129(constB76, bitIndex0))))),
% 7.40/5.33 inference(modus_ponens,[status(thm)],[9453, 9452])).
% 7.40/5.33 tff(9455,plain,
% 7.40/5.33 ((~v100(constB76)) | (~(((~v90(constB76, bitIndex2)) <=> v129(constB76, bitIndex2)) | ((~v90(constB76, bitIndex1)) <=> v129(constB76, bitIndex1)) | ((~v90(constB76, bitIndex0)) <=> v129(constB76, bitIndex0))))),
% 7.40/5.33 inference(unit_resolution,[status(thm)],[9454, 3429])).
% 7.40/5.33 tff(9456,plain,
% 7.40/5.33 (~(((~v90(constB76, bitIndex2)) <=> v129(constB76, bitIndex2)) | ((~v90(constB76, bitIndex1)) <=> v129(constB76, bitIndex1)) | ((~v90(constB76, bitIndex0)) <=> v129(constB76, bitIndex0)))),
% 7.40/5.33 inference(unit_resolution,[status(thm)],[9455, 9451])).
% 7.40/5.33 tff(9457,plain,
% 7.40/5.33 ((((~v90(constB76, bitIndex2)) <=> v129(constB76, bitIndex2)) | ((~v90(constB76, bitIndex1)) <=> v129(constB76, bitIndex1)) | ((~v90(constB76, bitIndex0)) <=> v129(constB76, bitIndex0))) | (~((~v90(constB76, bitIndex2)) <=> v129(constB76, bitIndex2)))),
% 7.40/5.33 inference(tautology,[status(thm)],[])).
% 7.40/5.33 tff(9458,plain,
% 7.40/5.33 (~((~v90(constB76, bitIndex2)) <=> v129(constB76, bitIndex2))),
% 7.40/5.33 inference(unit_resolution,[status(thm)],[9457, 9456])).
% 7.40/5.33 tff(9459,plain,
% 7.40/5.33 (((~v90(constB76, bitIndex2)) <=> v129(constB76, bitIndex2)) | (~v90(constB76, bitIndex2)) | v129(constB76, bitIndex2)),
% 7.40/5.33 inference(tautology,[status(thm)],[])).
% 7.40/5.33 tff(9460,plain,
% 7.40/5.33 (~v90(constB76, bitIndex2)),
% 7.40/5.33 inference(unit_resolution,[status(thm)],[9459, 9458, 9379])).
% 7.40/5.33 tff(9461,plain,
% 7.40/5.33 (((~v90(constB77, bitIndex2)) <=> v90(constB76, bitIndex2)) | (~v90(constB77, bitIndex2)) | v90(constB76, bitIndex2)),
% 7.40/5.33 inference(tautology,[status(thm)],[])).
% 7.40/5.33 tff(9462,plain,
% 7.40/5.33 (~v90(constB77, bitIndex2)),
% 7.40/5.33 inference(unit_resolution,[status(thm)],[9461, 9460, 703])).
% 7.40/5.33 tff(9463,plain,
% 7.40/5.33 ((((~v90(constB77, bitIndex1)) <=> v90(constB76, bitIndex1)) | ((~v90(constB77, bitIndex2)) <=> v90(constB76, bitIndex2)) | ((~v90(constB77, bitIndex0)) <=> v90(constB76, bitIndex0))) | (~((~v90(constB77, bitIndex0)) <=> v90(constB76, bitIndex0)))),
% 7.40/5.33 inference(tautology,[status(thm)],[])).
% 7.40/5.33 tff(9464,plain,
% 7.40/5.33 (~((~v90(constB77, bitIndex0)) <=> v90(constB76, bitIndex0))),
% 7.40/5.33 inference(unit_resolution,[status(thm)],[9463, 701])).
% 7.40/5.33 tff(9465,plain,
% 7.40/5.33 ((((~v129(constB76, bitIndex2)) <=> v127(constB75, bitIndex2)) | ((~v129(constB76, bitIndex1)) <=> v127(constB75, bitIndex1)) | ((~v129(constB76, bitIndex0)) <=> v127(constB75, bitIndex0))) | (~((~v129(constB76, bitIndex0)) <=> v127(constB75, bitIndex0)))),
% 7.40/5.33 inference(tautology,[status(thm)],[])).
% 7.40/5.33 tff(9466,plain,
% 7.40/5.33 (~((~v129(constB76, bitIndex0)) <=> v127(constB75, bitIndex0))),
% 7.40/5.33 inference(unit_resolution,[status(thm)],[9465, 710])).
% 7.40/5.33 tff(9467,plain,
% 7.40/5.33 ((((~v127(constB75, bitIndex2)) <=> v130(constB75, bitIndex2)) | ((~v127(constB75, bitIndex1)) <=> v130(constB75, bitIndex1)) | ((~v127(constB75, bitIndex0)) <=> v130(constB75, bitIndex0))) | (~((~v127(constB75, bitIndex0)) <=> v130(constB75, bitIndex0)))),
% 7.40/5.33 inference(tautology,[status(thm)],[])).
% 7.40/5.33 tff(9468,plain,
% 7.40/5.33 (~((~v127(constB75, bitIndex0)) <=> v130(constB75, bitIndex0))),
% 7.40/5.33 inference(unit_resolution,[status(thm)],[9467, 724])).
% 7.40/5.33 tff(9469,plain,
% 7.40/5.33 ((v130(constB75, bitIndex2) | v130(constB75, bitIndex1) | (~v130(constB75, bitIndex0))) | v130(constB75, bitIndex0)),
% 7.40/5.33 inference(tautology,[status(thm)],[])).
% 7.40/5.33 tff(9470,plain,
% 7.40/5.33 (v130(constB75, bitIndex0)),
% 7.40/5.33 inference(unit_resolution,[status(thm)],[9469, 9373])).
% 7.40/5.33 tff(9471,plain,
% 7.40/5.33 (((~v127(constB75, bitIndex0)) <=> v130(constB75, bitIndex0)) | v127(constB75, bitIndex0) | (~v130(constB75, bitIndex0))),
% 7.40/5.33 inference(tautology,[status(thm)],[])).
% 7.40/5.33 tff(9472,plain,
% 7.40/5.33 (v127(constB75, bitIndex0)),
% 7.40/5.33 inference(unit_resolution,[status(thm)],[9471, 9470, 9468])).
% 7.40/5.33 tff(9473,plain,
% 7.40/5.33 (((~v129(constB76, bitIndex0)) <=> v127(constB75, bitIndex0)) | v129(constB76, bitIndex0) | (~v127(constB75, bitIndex0))),
% 7.40/5.33 inference(tautology,[status(thm)],[])).
% 7.40/5.33 tff(9474,plain,
% 7.40/5.33 (v129(constB76, bitIndex0)),
% 7.40/5.33 inference(unit_resolution,[status(thm)],[9473, 9472, 9466])).
% 7.40/5.33 tff(9475,plain,
% 7.40/5.33 ((((~v90(constB76, bitIndex2)) <=> v129(constB76, bitIndex2)) | ((~v90(constB76, bitIndex1)) <=> v129(constB76, bitIndex1)) | ((~v90(constB76, bitIndex0)) <=> v129(constB76, bitIndex0))) | (~((~v90(constB76, bitIndex0)) <=> v129(constB76, bitIndex0)))),
% 7.40/5.33 inference(tautology,[status(thm)],[])).
% 7.40/5.33 tff(9476,plain,
% 7.40/5.33 (~((~v90(constB76, bitIndex0)) <=> v129(constB76, bitIndex0))),
% 7.40/5.33 inference(unit_resolution,[status(thm)],[9475, 9456])).
% 7.40/5.33 tff(9477,plain,
% 7.40/5.33 (((~v90(constB76, bitIndex0)) <=> v129(constB76, bitIndex0)) | v90(constB76, bitIndex0) | (~v129(constB76, bitIndex0))),
% 7.40/5.33 inference(tautology,[status(thm)],[])).
% 7.40/5.33 tff(9478,plain,
% 7.40/5.33 (v90(constB76, bitIndex0)),
% 7.40/5.33 inference(unit_resolution,[status(thm)],[9477, 9476, 9474])).
% 7.40/5.33 tff(9479,plain,
% 7.40/5.33 (((~v90(constB77, bitIndex0)) <=> v90(constB76, bitIndex0)) | v90(constB77, bitIndex0) | (~v90(constB76, bitIndex0))),
% 7.40/5.33 inference(tautology,[status(thm)],[])).
% 7.40/5.33 tff(9480,plain,
% 7.40/5.33 (v90(constB77, bitIndex0)),
% 7.40/5.33 inference(unit_resolution,[status(thm)],[9479, 9478, 9464])).
% 7.40/5.33 tff(9481,plain,
% 7.40/5.33 ((((~v90(constB77, bitIndex1)) <=> v90(constB76, bitIndex1)) | ((~v90(constB77, bitIndex2)) <=> v90(constB76, bitIndex2)) | ((~v90(constB77, bitIndex0)) <=> v90(constB76, bitIndex0))) | (~((~v90(constB77, bitIndex1)) <=> v90(constB76, bitIndex1)))),
% 7.40/5.33 inference(tautology,[status(thm)],[])).
% 7.40/5.33 tff(9482,plain,
% 7.40/5.33 (~((~v90(constB77, bitIndex1)) <=> v90(constB76, bitIndex1))),
% 7.40/5.33 inference(unit_resolution,[status(thm)],[9481, 701])).
% 7.40/5.33 tff(9483,plain,
% 7.40/5.33 ((((~v129(constB76, bitIndex2)) <=> v127(constB75, bitIndex2)) | ((~v129(constB76, bitIndex1)) <=> v127(constB75, bitIndex1)) | ((~v129(constB76, bitIndex0)) <=> v127(constB75, bitIndex0))) | (~((~v129(constB76, bitIndex1)) <=> v127(constB75, bitIndex1)))),
% 7.40/5.33 inference(tautology,[status(thm)],[])).
% 7.40/5.33 tff(9484,plain,
% 7.40/5.33 (~((~v129(constB76, bitIndex1)) <=> v127(constB75, bitIndex1))),
% 7.40/5.33 inference(unit_resolution,[status(thm)],[9483, 710])).
% 7.40/5.33 tff(9485,plain,
% 7.40/5.33 ((((~v127(constB75, bitIndex2)) <=> v130(constB75, bitIndex2)) | ((~v127(constB75, bitIndex1)) <=> v130(constB75, bitIndex1)) | ((~v127(constB75, bitIndex0)) <=> v130(constB75, bitIndex0))) | (~((~v127(constB75, bitIndex1)) <=> v130(constB75, bitIndex1)))),
% 7.40/5.33 inference(tautology,[status(thm)],[])).
% 7.40/5.33 tff(9486,plain,
% 7.40/5.33 (~((~v127(constB75, bitIndex1)) <=> v130(constB75, bitIndex1))),
% 7.40/5.33 inference(unit_resolution,[status(thm)],[9485, 724])).
% 7.40/5.33 tff(9487,plain,
% 7.40/5.33 ((v130(constB75, bitIndex2) | v130(constB75, bitIndex1) | (~v130(constB75, bitIndex0))) | (~v130(constB75, bitIndex1))),
% 7.40/5.33 inference(tautology,[status(thm)],[])).
% 7.40/5.33 tff(9488,plain,
% 7.40/5.33 (~v130(constB75, bitIndex1)),
% 7.40/5.33 inference(unit_resolution,[status(thm)],[9487, 9373])).
% 7.40/5.33 tff(9489,plain,
% 7.40/5.33 (((~v127(constB75, bitIndex1)) <=> v130(constB75, bitIndex1)) | (~v127(constB75, bitIndex1)) | v130(constB75, bitIndex1)),
% 7.40/5.33 inference(tautology,[status(thm)],[])).
% 7.40/5.33 tff(9490,plain,
% 7.40/5.33 (~v127(constB75, bitIndex1)),
% 7.40/5.33 inference(unit_resolution,[status(thm)],[9489, 9488, 9486])).
% 7.40/5.33 tff(9491,plain,
% 7.40/5.33 (((~v129(constB76, bitIndex1)) <=> v127(constB75, bitIndex1)) | (~v129(constB76, bitIndex1)) | v127(constB75, bitIndex1)),
% 7.40/5.33 inference(tautology,[status(thm)],[])).
% 7.40/5.33 tff(9492,plain,
% 7.40/5.33 (~v129(constB76, bitIndex1)),
% 7.40/5.33 inference(unit_resolution,[status(thm)],[9491, 9490, 9484])).
% 7.40/5.33 tff(9493,plain,
% 7.40/5.33 ((((~v90(constB76, bitIndex2)) <=> v129(constB76, bitIndex2)) | ((~v90(constB76, bitIndex1)) <=> v129(constB76, bitIndex1)) | ((~v90(constB76, bitIndex0)) <=> v129(constB76, bitIndex0))) | (~((~v90(constB76, bitIndex1)) <=> v129(constB76, bitIndex1)))),
% 7.40/5.33 inference(tautology,[status(thm)],[])).
% 7.40/5.33 tff(9494,plain,
% 7.40/5.33 (~((~v90(constB76, bitIndex1)) <=> v129(constB76, bitIndex1))),
% 7.40/5.33 inference(unit_resolution,[status(thm)],[9493, 9456])).
% 7.40/5.33 tff(9495,plain,
% 7.40/5.34 (((~v90(constB76, bitIndex1)) <=> v129(constB76, bitIndex1)) | (~v90(constB76, bitIndex1)) | v129(constB76, bitIndex1)),
% 7.40/5.34 inference(tautology,[status(thm)],[])).
% 7.40/5.34 tff(9496,plain,
% 7.40/5.34 (~v90(constB76, bitIndex1)),
% 7.40/5.34 inference(unit_resolution,[status(thm)],[9495, 9494, 9492])).
% 7.40/5.34 tff(9497,plain,
% 7.40/5.34 (((~v90(constB77, bitIndex1)) <=> v90(constB76, bitIndex1)) | (~v90(constB77, bitIndex1)) | v90(constB76, bitIndex1)),
% 7.40/5.34 inference(tautology,[status(thm)],[])).
% 7.40/5.34 tff(9498,plain,
% 7.40/5.34 (~v90(constB77, bitIndex1)),
% 7.40/5.34 inference(unit_resolution,[status(thm)],[9497, 9496, 9482])).
% 7.40/5.34 tff(9499,plain,
% 7.40/5.34 ((~(v90(constB77, bitIndex1) | v90(constB77, bitIndex2) | (~v90(constB77, bitIndex0)))) | v90(constB77, bitIndex1) | v90(constB77, bitIndex2) | (~v90(constB77, bitIndex0))),
% 7.40/5.34 inference(tautology,[status(thm)],[])).
% 7.40/5.34 tff(9500,plain,
% 7.40/5.34 (~(v90(constB77, bitIndex1) | v90(constB77, bitIndex2) | (~v90(constB77, bitIndex0)))),
% 7.40/5.34 inference(unit_resolution,[status(thm)],[9499, 9498, 9480, 9462])).
% 7.40/5.34 tff(9501,plain,
% 7.40/5.34 ((~(v120(constB77) <=> (~(v90(constB77, bitIndex1) | v90(constB77, bitIndex2) | (~v90(constB77, bitIndex0)))))) | v120(constB77) | (v90(constB77, bitIndex1) | v90(constB77, bitIndex2) | (~v90(constB77, bitIndex0)))),
% 7.40/5.34 inference(tautology,[status(thm)],[])).
% 7.40/5.34 tff(9502,plain,
% 7.40/5.34 (v120(constB77)),
% 7.40/5.34 inference(unit_resolution,[status(thm)],[9501, 9500, 667])).
% 7.40/5.34 tff(9503,plain,
% 7.40/5.34 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB77)) | (~(v130(constB77, bitIndex2) | v130(constB77, bitIndex0) | (~v130(constB77, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB77)) | (~(v130(constB77, bitIndex2) | v130(constB77, bitIndex0) | (~v130(constB77, bitIndex1)))))),
% 7.40/5.34 inference(rewrite,[status(thm)],[])).
% 7.40/5.34 tff(9504,plain,
% 7.40/5.34 (((~v120(constB77)) | (~(v130(constB77, bitIndex0) | v130(constB77, bitIndex2) | (~v130(constB77, bitIndex1))))) <=> ((~v120(constB77)) | (~(v130(constB77, bitIndex2) | v130(constB77, bitIndex0) | (~v130(constB77, bitIndex1)))))),
% 7.40/5.34 inference(rewrite,[status(thm)],[])).
% 7.40/5.34 tff(9505,plain,
% 7.40/5.34 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB77)) | (~(v130(constB77, bitIndex0) | v130(constB77, bitIndex2) | (~v130(constB77, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB77)) | (~(v130(constB77, bitIndex2) | v130(constB77, bitIndex0) | (~v130(constB77, bitIndex1))))))),
% 7.40/5.34 inference(monotonicity,[status(thm)],[9504])).
% 7.40/5.34 tff(9506,plain,
% 7.40/5.34 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB77)) | (~(v130(constB77, bitIndex0) | v130(constB77, bitIndex2) | (~v130(constB77, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB77)) | (~(v130(constB77, bitIndex2) | v130(constB77, bitIndex0) | (~v130(constB77, bitIndex1)))))),
% 7.40/5.34 inference(transitivity,[status(thm)],[9505, 9503])).
% 7.40/5.34 tff(9507,plain,
% 7.40/5.34 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB77)) | (~(v130(constB77, bitIndex0) | v130(constB77, bitIndex2) | (~v130(constB77, bitIndex1)))))),
% 7.40/5.34 inference(quant_inst,[status(thm)],[])).
% 7.40/5.34 tff(9508,plain,
% 7.40/5.34 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB77)) | (~(v130(constB77, bitIndex2) | v130(constB77, bitIndex0) | (~v130(constB77, bitIndex1))))),
% 7.40/5.34 inference(modus_ponens,[status(thm)],[9507, 9506])).
% 7.40/5.34 tff(9509,plain,
% 7.40/5.34 ((~v120(constB77)) | (~(v130(constB77, bitIndex2) | v130(constB77, bitIndex0) | (~v130(constB77, bitIndex1))))),
% 7.40/5.34 inference(unit_resolution,[status(thm)],[9508, 3881])).
% 7.40/5.34 tff(9510,plain,
% 7.40/5.34 (~(v130(constB77, bitIndex2) | v130(constB77, bitIndex0) | (~v130(constB77, bitIndex1)))),
% 7.40/5.34 inference(unit_resolution,[status(thm)],[9509, 9502])).
% 7.40/5.34 tff(9511,plain,
% 7.40/5.34 ((v130(constB77, bitIndex2) | v130(constB77, bitIndex0) | (~v130(constB77, bitIndex1))) | (~v130(constB77, bitIndex2))),
% 7.40/5.34 inference(tautology,[status(thm)],[])).
% 7.40/5.34 tff(9512,plain,
% 7.40/5.34 (~v130(constB77, bitIndex2)),
% 7.40/5.34 inference(unit_resolution,[status(thm)],[9511, 9510])).
% 7.40/5.34 tff(9513,plain,
% 7.40/5.34 (((~v127(constB77, bitIndex2)) <=> v130(constB77, bitIndex2)) | (~v127(constB77, bitIndex2)) | v130(constB77, bitIndex2)),
% 7.40/5.34 inference(tautology,[status(thm)],[])).
% 7.40/5.34 tff(9514,plain,
% 7.40/5.34 (~v127(constB77, bitIndex2)),
% 7.40/5.34 inference(unit_resolution,[status(thm)],[9513, 9512, 652])).
% 7.40/5.34 tff(9515,plain,
% 7.40/5.34 (((~v129(constB78, bitIndex2)) <=> v127(constB77, bitIndex2)) | (~v129(constB78, bitIndex2)) | v127(constB77, bitIndex2)),
% 7.40/5.34 inference(tautology,[status(thm)],[])).
% 7.40/5.34 tff(9516,plain,
% 7.40/5.34 (~v129(constB78, bitIndex2)),
% 7.40/5.34 inference(unit_resolution,[status(thm)],[9515, 9514, 638])).
% 7.40/5.34 tff(9517,plain,
% 7.40/5.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB77, constB78)) | (v100(constB78) <=> (~((~v101(constB78)) | (~v110(constB78))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB77, constB78)) | (v100(constB78) <=> (~((~v101(constB78)) | (~v110(constB78))))))),
% 7.40/5.34 inference(rewrite,[status(thm)],[])).
% 7.40/5.34 tff(9518,plain,
% 7.40/5.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB77, constB78)) | (v100(constB78) <=> (~((~v101(constB78)) | (~v110(constB78))))))),
% 7.40/5.34 inference(quant_inst,[status(thm)],[])).
% 7.40/5.34 tff(9519,plain,
% 7.40/5.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB77, constB78)) | (v100(constB78) <=> (~((~v101(constB78)) | (~v110(constB78)))))),
% 7.40/5.34 inference(modus_ponens,[status(thm)],[9518, 9517])).
% 7.40/5.34 tff(9520,plain,
% 7.40/5.34 (v100(constB78) <=> (~((~v101(constB78)) | (~v110(constB78))))),
% 7.40/5.34 inference(unit_resolution,[status(thm)],[9519, 632, 445])).
% 7.40/5.34 tff(9521,plain,
% 7.40/5.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB77, constB78)) | (v101(constB78) <=> (~((~v1(constB78)) | (~v102(constB78))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB77, constB78)) | (v101(constB78) <=> (~((~v1(constB78)) | (~v102(constB78))))))),
% 7.40/5.34 inference(rewrite,[status(thm)],[])).
% 7.40/5.34 tff(9522,plain,
% 7.40/5.34 (((~nextState(constB77, constB78)) | (v101(constB78) <=> (~((~v102(constB78)) | (~v1(constB78)))))) <=> ((~nextState(constB77, constB78)) | (v101(constB78) <=> (~((~v1(constB78)) | (~v102(constB78))))))),
% 7.40/5.34 inference(rewrite,[status(thm)],[])).
% 7.40/5.34 tff(9523,plain,
% 7.40/5.34 (((~![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) <=> (~((~v1(constB78)) | (~v102(constB78)))))))),
% 7.40/5.34 inference(monotonicity,[status(thm)],[9522])).
% 7.40/5.34 tff(9524,plain,
% 7.40/5.34 (((~![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) <=> (~((~v1(constB78)) | (~v102(constB78))))))),
% 7.40/5.34 inference(transitivity,[status(thm)],[9523, 9521])).
% 7.40/5.34 tff(9525,plain,
% 7.40/5.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB77, constB78)) | (v101(constB78) <=> (~((~v102(constB78)) | (~v1(constB78))))))),
% 7.40/5.34 inference(quant_inst,[status(thm)],[])).
% 7.40/5.34 tff(9526,plain,
% 7.40/5.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB77, constB78)) | (v101(constB78) <=> (~((~v1(constB78)) | (~v102(constB78)))))),
% 7.40/5.34 inference(modus_ponens,[status(thm)],[9525, 9524])).
% 7.40/5.34 tff(9527,plain,
% 7.40/5.34 (v101(constB78) <=> (~((~v1(constB78)) | (~v102(constB78))))),
% 7.40/5.34 inference(unit_resolution,[status(thm)],[9526, 632, 465])).
% 7.40/5.34 tff(9528,plain,
% 7.40/5.34 (((~![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)))),
% 7.40/5.34 inference(rewrite,[status(thm)],[])).
% 7.40/5.34 tff(9529,plain,
% 7.40/5.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB77, constB78)) | ((~v102(constB78)) <=> v104(constB78)))),
% 7.40/5.34 inference(quant_inst,[status(thm)],[])).
% 7.40/5.34 tff(9530,plain,
% 7.40/5.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB77, constB78)) | ((~v102(constB78)) <=> v104(constB78))),
% 7.40/5.34 inference(modus_ponens,[status(thm)],[9529, 9528])).
% 7.40/5.34 tff(9531,plain,
% 7.40/5.34 ((~v102(constB78)) <=> v104(constB78)),
% 7.40/5.34 inference(unit_resolution,[status(thm)],[9530, 632, 3244])).
% 7.40/5.34 tff(9532,plain,
% 7.40/5.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB77, constB78)) | (v104(constB78) <=> v1(constB77)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB77, constB78)) | (v104(constB78) <=> v1(constB77)))),
% 7.40/5.34 inference(rewrite,[status(thm)],[])).
% 7.40/5.34 tff(9533,plain,
% 7.40/5.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB77, constB78)) | (v104(constB78) <=> v1(constB77)))),
% 7.40/5.34 inference(quant_inst,[status(thm)],[])).
% 7.40/5.34 tff(9534,plain,
% 7.40/5.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB77, constB78)) | (v104(constB78) <=> v1(constB77))),
% 7.40/5.34 inference(modus_ponens,[status(thm)],[9533, 9532])).
% 7.40/5.34 tff(9535,plain,
% 7.40/5.34 (v104(constB78) <=> v1(constB77)),
% 7.40/5.34 inference(unit_resolution,[status(thm)],[9534, 632, 3258])).
% 7.40/5.34 tff(9536,plain,
% 7.40/5.34 ((~(v104(constB78) <=> v1(constB77))) | (~v104(constB78)) | v1(constB77)),
% 7.40/5.34 inference(tautology,[status(thm)],[])).
% 7.40/5.34 tff(9537,plain,
% 7.40/5.34 ((~(v104(constB78) <=> v1(constB77))) | (~v104(constB78))),
% 7.40/5.34 inference(unit_resolution,[status(thm)],[9536, 684])).
% 7.40/5.34 tff(9538,plain,
% 7.40/5.34 (~v104(constB78)),
% 7.40/5.34 inference(unit_resolution,[status(thm)],[9537, 9535])).
% 7.40/5.34 tff(9539,plain,
% 7.40/5.34 ((~((~v102(constB78)) <=> v104(constB78))) | v102(constB78) | v104(constB78)),
% 7.40/5.34 inference(tautology,[status(thm)],[])).
% 7.40/5.34 tff(9540,plain,
% 7.40/5.34 (v102(constB78)),
% 7.40/5.34 inference(unit_resolution,[status(thm)],[9539, 9538, 9531])).
% 7.40/5.34 tff(9541,plain,
% 7.40/5.34 (v1(constB78) <=> v1(constB78)),
% 7.40/5.34 inference(rewrite,[status(thm)],[])).
% 7.40/5.34 tff(9542,axiom,(v1(constB78)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_78')).
% 7.40/5.34 tff(9543,plain,
% 7.40/5.34 (v1(constB78)),
% 7.40/5.34 inference(modus_ponens,[status(thm)],[9542, 9541])).
% 7.40/5.34 tff(9544,plain,
% 7.40/5.34 ((~((~v1(constB78)) | (~v102(constB78)))) | (~v1(constB78)) | (~v102(constB78))),
% 7.40/5.34 inference(tautology,[status(thm)],[])).
% 7.40/5.34 tff(9545,plain,
% 7.40/5.34 ((~((~v1(constB78)) | (~v102(constB78)))) | (~v102(constB78))),
% 7.40/5.34 inference(unit_resolution,[status(thm)],[9544, 9543])).
% 7.40/5.34 tff(9546,plain,
% 7.40/5.34 (~((~v1(constB78)) | (~v102(constB78)))),
% 7.40/5.34 inference(unit_resolution,[status(thm)],[9545, 9540])).
% 7.40/5.34 tff(9547,plain,
% 7.40/5.34 ((~(v101(constB78) <=> (~((~v1(constB78)) | (~v102(constB78)))))) | v101(constB78) | ((~v1(constB78)) | (~v102(constB78)))),
% 7.40/5.34 inference(tautology,[status(thm)],[])).
% 7.40/5.34 tff(9548,plain,
% 7.40/5.34 (v101(constB78)),
% 7.40/5.34 inference(unit_resolution,[status(thm)],[9547, 9546, 9527])).
% 7.40/5.34 tff(9549,plain,
% 7.40/5.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB77, constB78)) | (v110(constB78) <=> v108(constB77)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB77, constB78)) | (v110(constB78) <=> v108(constB77)))),
% 7.40/5.34 inference(rewrite,[status(thm)],[])).
% 7.40/5.34 tff(9550,plain,
% 7.40/5.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB77, constB78)) | (v110(constB78) <=> v108(constB77)))),
% 7.40/5.34 inference(quant_inst,[status(thm)],[])).
% 7.40/5.34 tff(9551,plain,
% 7.40/5.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB77, constB78)) | (v110(constB78) <=> v108(constB77))),
% 7.40/5.34 inference(modus_ponens,[status(thm)],[9550, 9549])).
% 7.40/5.34 tff(9552,plain,
% 7.40/5.34 (v110(constB78) <=> v108(constB77)),
% 7.40/5.34 inference(unit_resolution,[status(thm)],[9551, 632, 3285])).
% 7.40/5.34 tff(9553,plain,
% 7.40/5.34 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB77) <=> (v111(constB77) | v112(constB77)))),
% 7.40/5.34 inference(quant_inst,[status(thm)],[])).
% 7.40/5.34 tff(9554,plain,
% 7.40/5.34 (v108(constB77) <=> (v111(constB77) | v112(constB77))),
% 7.40/5.34 inference(unit_resolution,[status(thm)],[9553, 3296])).
% 7.40/5.34 tff(9555,plain,
% 7.40/5.34 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB77) <=> (~((~v113(constB77)) | (~v126(constB77)))))),
% 7.40/5.34 inference(quant_inst,[status(thm)],[])).
% 7.40/5.34 tff(9556,plain,
% 7.40/5.34 (v112(constB77) <=> (~((~v113(constB77)) | (~v126(constB77))))),
% 7.40/5.34 inference(unit_resolution,[status(thm)],[9555, 3308])).
% 7.40/5.34 tff(9557,plain,
% 7.40/5.34 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB77) <=> (v114(constB77) | v125(constB77)))),
% 7.40/5.34 inference(quant_inst,[status(thm)],[])).
% 7.40/5.34 tff(9558,plain,
% 7.40/5.34 (v113(constB77) <=> (v114(constB77) | v125(constB77))),
% 7.40/5.34 inference(unit_resolution,[status(thm)],[9557, 3317])).
% 7.40/5.34 tff(9559,plain,
% 7.40/5.34 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB77) <=> (v115(constB77) | v124(constB77)))),
% 7.40/5.34 inference(quant_inst,[status(thm)],[])).
% 7.40/5.34 tff(9560,plain,
% 7.40/5.34 (v114(constB77) <=> (v115(constB77) | v124(constB77))),
% 7.40/5.34 inference(unit_resolution,[status(thm)],[9559, 3326])).
% 7.40/5.34 tff(9561,plain,
% 7.40/5.34 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB77) <=> (v116(constB77) | v123(constB77)))),
% 7.40/5.34 inference(quant_inst,[status(thm)],[])).
% 7.40/5.34 tff(9562,plain,
% 7.40/5.34 (v115(constB77) <=> (v116(constB77) | v123(constB77))),
% 7.40/5.34 inference(unit_resolution,[status(thm)],[9561, 3335])).
% 7.40/5.34 tff(9563,plain,
% 7.40/5.34 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB77) <=> (v117(constB77) | v122(constB77)))),
% 7.40/5.34 inference(quant_inst,[status(thm)],[])).
% 7.40/5.34 tff(9564,plain,
% 7.40/5.34 (v116(constB77) <=> (v117(constB77) | v122(constB77))),
% 7.40/5.34 inference(unit_resolution,[status(thm)],[9563, 3344])).
% 7.40/5.34 tff(9565,plain,
% 7.40/5.34 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB77) <=> (v118(constB77) | v121(constB77)))),
% 7.40/5.34 inference(quant_inst,[status(thm)],[])).
% 7.40/5.34 tff(9566,plain,
% 7.40/5.34 (v117(constB77) <=> (v118(constB77) | v121(constB77))),
% 7.40/5.34 inference(unit_resolution,[status(thm)],[9565, 3353])).
% 7.40/5.34 tff(9567,plain,
% 7.40/5.34 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB77) <=> (v119(constB77) | v120(constB77)))),
% 7.40/5.34 inference(quant_inst,[status(thm)],[])).
% 7.40/5.34 tff(9568,plain,
% 7.40/5.34 (v118(constB77) <=> (v119(constB77) | v120(constB77))),
% 7.40/5.34 inference(unit_resolution,[status(thm)],[9567, 3362])).
% 7.40/5.34 tff(9569,plain,
% 7.40/5.34 ((v119(constB77) | v120(constB77)) | (~v120(constB77))),
% 7.40/5.34 inference(tautology,[status(thm)],[])).
% 7.40/5.34 tff(9570,plain,
% 7.40/5.34 (v119(constB77) | v120(constB77)),
% 7.40/5.34 inference(unit_resolution,[status(thm)],[9569, 9502])).
% 7.40/5.34 tff(9571,plain,
% 7.40/5.34 ((~(v118(constB77) <=> (v119(constB77) | v120(constB77)))) | v118(constB77) | (~(v119(constB77) | v120(constB77)))),
% 7.40/5.34 inference(tautology,[status(thm)],[])).
% 7.40/5.34 tff(9572,plain,
% 7.40/5.34 (v118(constB77)),
% 7.40/5.34 inference(unit_resolution,[status(thm)],[9571, 9570, 9568])).
% 7.40/5.34 tff(9573,plain,
% 7.40/5.34 ((v118(constB77) | v121(constB77)) | (~v118(constB77))),
% 7.40/5.34 inference(tautology,[status(thm)],[])).
% 7.40/5.34 tff(9574,plain,
% 7.40/5.34 (v118(constB77) | v121(constB77)),
% 7.40/5.34 inference(unit_resolution,[status(thm)],[9573, 9572])).
% 7.40/5.34 tff(9575,plain,
% 7.40/5.34 ((~(v117(constB77) <=> (v118(constB77) | v121(constB77)))) | v117(constB77) | (~(v118(constB77) | v121(constB77)))),
% 7.40/5.34 inference(tautology,[status(thm)],[])).
% 7.40/5.34 tff(9576,plain,
% 7.40/5.34 (v117(constB77)),
% 7.40/5.34 inference(unit_resolution,[status(thm)],[9575, 9574, 9566])).
% 7.40/5.34 tff(9577,plain,
% 7.40/5.34 ((v117(constB77) | v122(constB77)) | (~v117(constB77))),
% 7.40/5.34 inference(tautology,[status(thm)],[])).
% 7.40/5.34 tff(9578,plain,
% 7.40/5.34 (v117(constB77) | v122(constB77)),
% 7.40/5.34 inference(unit_resolution,[status(thm)],[9577, 9576])).
% 7.40/5.34 tff(9579,plain,
% 7.40/5.34 ((~(v116(constB77) <=> (v117(constB77) | v122(constB77)))) | v116(constB77) | (~(v117(constB77) | v122(constB77)))),
% 7.40/5.34 inference(tautology,[status(thm)],[])).
% 7.40/5.34 tff(9580,plain,
% 7.40/5.34 (v116(constB77)),
% 7.40/5.34 inference(unit_resolution,[status(thm)],[9579, 9578, 9564])).
% 7.40/5.34 tff(9581,plain,
% 7.40/5.34 ((v116(constB77) | v123(constB77)) | (~v116(constB77))),
% 7.40/5.34 inference(tautology,[status(thm)],[])).
% 7.40/5.34 tff(9582,plain,
% 7.40/5.34 (v116(constB77) | v123(constB77)),
% 7.40/5.34 inference(unit_resolution,[status(thm)],[9581, 9580])).
% 7.40/5.34 tff(9583,plain,
% 7.40/5.34 ((~(v115(constB77) <=> (v116(constB77) | v123(constB77)))) | v115(constB77) | (~(v116(constB77) | v123(constB77)))),
% 7.40/5.34 inference(tautology,[status(thm)],[])).
% 7.40/5.34 tff(9584,plain,
% 7.40/5.34 (v115(constB77)),
% 7.40/5.34 inference(unit_resolution,[status(thm)],[9583, 9582, 9562])).
% 7.40/5.34 tff(9585,plain,
% 7.40/5.34 ((v115(constB77) | v124(constB77)) | (~v115(constB77))),
% 7.40/5.34 inference(tautology,[status(thm)],[])).
% 7.40/5.34 tff(9586,plain,
% 7.40/5.34 (v115(constB77) | v124(constB77)),
% 7.40/5.34 inference(unit_resolution,[status(thm)],[9585, 9584])).
% 7.40/5.34 tff(9587,plain,
% 7.40/5.34 ((~(v114(constB77) <=> (v115(constB77) | v124(constB77)))) | v114(constB77) | (~(v115(constB77) | v124(constB77)))),
% 7.40/5.34 inference(tautology,[status(thm)],[])).
% 7.40/5.34 tff(9588,plain,
% 7.40/5.34 (v114(constB77)),
% 7.40/5.34 inference(unit_resolution,[status(thm)],[9587, 9586, 9560])).
% 7.40/5.34 tff(9589,plain,
% 7.40/5.34 ((v114(constB77) | v125(constB77)) | (~v114(constB77))),
% 7.40/5.34 inference(tautology,[status(thm)],[])).
% 7.40/5.34 tff(9590,plain,
% 7.40/5.34 (v114(constB77) | v125(constB77)),
% 7.40/5.34 inference(unit_resolution,[status(thm)],[9589, 9588])).
% 7.40/5.34 tff(9591,plain,
% 7.40/5.34 ((~(v113(constB77) <=> (v114(constB77) | v125(constB77)))) | v113(constB77) | (~(v114(constB77) | v125(constB77)))),
% 7.40/5.34 inference(tautology,[status(thm)],[])).
% 7.40/5.34 tff(9592,plain,
% 7.40/5.34 (v113(constB77)),
% 7.40/5.34 inference(unit_resolution,[status(thm)],[9591, 9590, 9558])).
% 7.40/5.34 tff(9593,plain,
% 7.40/5.34 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB77)) <=> v111(constB77))),
% 7.40/5.34 inference(quant_inst,[status(thm)],[])).
% 7.40/5.34 tff(9594,plain,
% 7.40/5.34 ((~v126(constB77)) <=> v111(constB77)),
% 7.40/5.34 inference(unit_resolution,[status(thm)],[9593, 3396])).
% 7.40/5.34 tff(9595,plain,
% 7.40/5.34 ((~((~v126(constB77)) <=> v111(constB77))) | v126(constB77) | v111(constB77)),
% 7.40/5.34 inference(tautology,[status(thm)],[])).
% 7.40/5.34 tff(9596,plain,
% 7.40/5.34 ((~((~v126(constB77)) <=> v111(constB77))) | v126(constB77)),
% 7.40/5.34 inference(unit_resolution,[status(thm)],[9595, 645])).
% 7.40/5.34 tff(9597,plain,
% 7.40/5.34 (v126(constB77)),
% 7.40/5.34 inference(unit_resolution,[status(thm)],[9596, 9594])).
% 7.40/5.34 tff(9598,plain,
% 7.40/5.34 ((~((~v113(constB77)) | (~v126(constB77)))) | (~v113(constB77)) | (~v126(constB77))),
% 7.40/5.34 inference(tautology,[status(thm)],[])).
% 7.40/5.34 tff(9599,plain,
% 7.40/5.34 ((~((~v113(constB77)) | (~v126(constB77)))) | (~v113(constB77))),
% 7.40/5.34 inference(unit_resolution,[status(thm)],[9598, 9597])).
% 7.40/5.34 tff(9600,plain,
% 7.40/5.34 (~((~v113(constB77)) | (~v126(constB77)))),
% 7.40/5.34 inference(unit_resolution,[status(thm)],[9599, 9592])).
% 7.40/5.34 tff(9601,plain,
% 7.40/5.34 ((~(v112(constB77) <=> (~((~v113(constB77)) | (~v126(constB77)))))) | v112(constB77) | ((~v113(constB77)) | (~v126(constB77)))),
% 7.40/5.34 inference(tautology,[status(thm)],[])).
% 7.40/5.34 tff(9602,plain,
% 7.40/5.34 (v112(constB77)),
% 7.40/5.34 inference(unit_resolution,[status(thm)],[9601, 9600, 9556])).
% 7.40/5.34 tff(9603,plain,
% 7.40/5.34 ((v111(constB77) | v112(constB77)) | (~v112(constB77))),
% 7.40/5.34 inference(tautology,[status(thm)],[])).
% 7.40/5.34 tff(9604,plain,
% 7.40/5.34 (v111(constB77) | v112(constB77)),
% 7.40/5.34 inference(unit_resolution,[status(thm)],[9603, 9602])).
% 7.40/5.34 tff(9605,plain,
% 7.40/5.34 ((~(v108(constB77) <=> (v111(constB77) | v112(constB77)))) | v108(constB77) | (~(v111(constB77) | v112(constB77)))),
% 7.40/5.34 inference(tautology,[status(thm)],[])).
% 7.40/5.34 tff(9606,plain,
% 7.40/5.34 (v108(constB77)),
% 7.40/5.34 inference(unit_resolution,[status(thm)],[9605, 9604, 9554])).
% 7.40/5.34 tff(9607,plain,
% 7.40/5.34 ((~(v110(constB78) <=> v108(constB77))) | v110(constB78) | (~v108(constB77))),
% 7.40/5.34 inference(tautology,[status(thm)],[])).
% 7.40/5.34 tff(9608,plain,
% 7.40/5.34 (v110(constB78)),
% 7.40/5.34 inference(unit_resolution,[status(thm)],[9607, 9606, 9552])).
% 7.40/5.34 tff(9609,plain,
% 7.40/5.34 ((~((~v101(constB78)) | (~v110(constB78)))) | (~v101(constB78)) | (~v110(constB78))),
% 7.40/5.34 inference(tautology,[status(thm)],[])).
% 7.40/5.34 tff(9610,plain,
% 7.40/5.34 (~((~v101(constB78)) | (~v110(constB78)))),
% 7.40/5.34 inference(unit_resolution,[status(thm)],[9609, 9608, 9548])).
% 7.40/5.34 tff(9611,plain,
% 7.40/5.34 ((~(v100(constB78) <=> (~((~v101(constB78)) | (~v110(constB78)))))) | v100(constB78) | ((~v101(constB78)) | (~v110(constB78)))),
% 7.40/5.34 inference(tautology,[status(thm)],[])).
% 7.40/5.34 tff(9612,plain,
% 7.40/5.34 (v100(constB78)),
% 7.40/5.34 inference(unit_resolution,[status(thm)],[9611, 9610, 9520])).
% 7.40/5.34 tff(9613,plain,
% 7.40/5.34 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB78)) | (~(((~v90(constB78, bitIndex0)) <=> v129(constB78, bitIndex0)) | ((~v90(constB78, bitIndex2)) <=> v129(constB78, bitIndex2)) | ((~v90(constB78, bitIndex1)) <=> v129(constB78, bitIndex1)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB78)) | (~(((~v90(constB78, bitIndex0)) <=> v129(constB78, bitIndex0)) | ((~v90(constB78, bitIndex2)) <=> v129(constB78, bitIndex2)) | ((~v90(constB78, bitIndex1)) <=> v129(constB78, bitIndex1)))))),
% 7.40/5.34 inference(rewrite,[status(thm)],[])).
% 7.40/5.34 tff(9614,plain,
% 7.40/5.34 (((~v100(constB78)) | (~(((~v90(constB78, bitIndex2)) <=> v129(constB78, bitIndex2)) | ((~v90(constB78, bitIndex1)) <=> v129(constB78, bitIndex1)) | ((~v90(constB78, bitIndex0)) <=> v129(constB78, bitIndex0))))) <=> ((~v100(constB78)) | (~(((~v90(constB78, bitIndex0)) <=> v129(constB78, bitIndex0)) | ((~v90(constB78, bitIndex2)) <=> v129(constB78, bitIndex2)) | ((~v90(constB78, bitIndex1)) <=> v129(constB78, bitIndex1)))))),
% 7.40/5.34 inference(rewrite,[status(thm)],[])).
% 7.40/5.34 tff(9615,plain,
% 7.40/5.34 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB78)) | (~(((~v90(constB78, bitIndex2)) <=> v129(constB78, bitIndex2)) | ((~v90(constB78, bitIndex1)) <=> v129(constB78, bitIndex1)) | ((~v90(constB78, bitIndex0)) <=> v129(constB78, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB78)) | (~(((~v90(constB78, bitIndex0)) <=> v129(constB78, bitIndex0)) | ((~v90(constB78, bitIndex2)) <=> v129(constB78, bitIndex2)) | ((~v90(constB78, bitIndex1)) <=> v129(constB78, bitIndex1))))))),
% 7.40/5.34 inference(monotonicity,[status(thm)],[9614])).
% 7.40/5.34 tff(9616,plain,
% 7.40/5.34 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB78)) | (~(((~v90(constB78, bitIndex2)) <=> v129(constB78, bitIndex2)) | ((~v90(constB78, bitIndex1)) <=> v129(constB78, bitIndex1)) | ((~v90(constB78, bitIndex0)) <=> v129(constB78, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB78)) | (~(((~v90(constB78, bitIndex0)) <=> v129(constB78, bitIndex0)) | ((~v90(constB78, bitIndex2)) <=> v129(constB78, bitIndex2)) | ((~v90(constB78, bitIndex1)) <=> v129(constB78, bitIndex1)))))),
% 7.40/5.34 inference(transitivity,[status(thm)],[9615, 9613])).
% 7.40/5.34 tff(9617,plain,
% 7.40/5.34 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB78)) | (~(((~v90(constB78, bitIndex2)) <=> v129(constB78, bitIndex2)) | ((~v90(constB78, bitIndex1)) <=> v129(constB78, bitIndex1)) | ((~v90(constB78, bitIndex0)) <=> v129(constB78, bitIndex0)))))),
% 7.40/5.34 inference(quant_inst,[status(thm)],[])).
% 7.40/5.34 tff(9618,plain,
% 7.40/5.34 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB78)) | (~(((~v90(constB78, bitIndex0)) <=> v129(constB78, bitIndex0)) | ((~v90(constB78, bitIndex2)) <=> v129(constB78, bitIndex2)) | ((~v90(constB78, bitIndex1)) <=> v129(constB78, bitIndex1))))),
% 7.40/5.34 inference(modus_ponens,[status(thm)],[9617, 9616])).
% 7.40/5.34 tff(9619,plain,
% 7.40/5.34 ((~v100(constB78)) | (~(((~v90(constB78, bitIndex0)) <=> v129(constB78, bitIndex0)) | ((~v90(constB78, bitIndex2)) <=> v129(constB78, bitIndex2)) | ((~v90(constB78, bitIndex1)) <=> v129(constB78, bitIndex1))))),
% 7.40/5.34 inference(unit_resolution,[status(thm)],[9618, 3429])).
% 7.40/5.34 tff(9620,plain,
% 7.40/5.34 (~(((~v90(constB78, bitIndex0)) <=> v129(constB78, bitIndex0)) | ((~v90(constB78, bitIndex2)) <=> v129(constB78, bitIndex2)) | ((~v90(constB78, bitIndex1)) <=> v129(constB78, bitIndex1)))),
% 7.40/5.34 inference(unit_resolution,[status(thm)],[9619, 9612])).
% 7.40/5.34 tff(9621,plain,
% 7.40/5.34 ((((~v90(constB78, bitIndex0)) <=> v129(constB78, bitIndex0)) | ((~v90(constB78, bitIndex2)) <=> v129(constB78, bitIndex2)) | ((~v90(constB78, bitIndex1)) <=> v129(constB78, bitIndex1))) | (~((~v90(constB78, bitIndex2)) <=> v129(constB78, bitIndex2)))),
% 7.40/5.34 inference(tautology,[status(thm)],[])).
% 7.40/5.34 tff(9622,plain,
% 7.40/5.34 (~((~v90(constB78, bitIndex2)) <=> v129(constB78, bitIndex2))),
% 7.40/5.34 inference(unit_resolution,[status(thm)],[9621, 9620])).
% 7.40/5.34 tff(9623,plain,
% 7.40/5.34 (((~v90(constB78, bitIndex2)) <=> v129(constB78, bitIndex2)) | (~v90(constB78, bitIndex2)) | v129(constB78, bitIndex2)),
% 7.40/5.34 inference(tautology,[status(thm)],[])).
% 7.40/5.34 tff(9624,plain,
% 7.40/5.34 (~v90(constB78, bitIndex2)),
% 7.40/5.34 inference(unit_resolution,[status(thm)],[9623, 9622, 9516])).
% 7.40/5.34 tff(9625,plain,
% 7.40/5.34 (((~v90(constB79, bitIndex2)) <=> v90(constB78, bitIndex2)) | (~v90(constB79, bitIndex2)) | v90(constB78, bitIndex2)),
% 7.40/5.34 inference(tautology,[status(thm)],[])).
% 7.40/5.34 tff(9626,plain,
% 7.40/5.34 (~v90(constB79, bitIndex2)),
% 7.40/5.34 inference(unit_resolution,[status(thm)],[9625, 9624, 629])).
% 7.40/5.34 tff(9627,plain,
% 7.40/5.34 ((((~v90(constB79, bitIndex1)) <=> v90(constB78, bitIndex1)) | ((~v90(constB79, bitIndex2)) <=> v90(constB78, bitIndex2)) | ((~v90(constB79, bitIndex0)) <=> v90(constB78, bitIndex0))) | (~((~v90(constB79, bitIndex0)) <=> v90(constB78, bitIndex0)))),
% 7.40/5.34 inference(tautology,[status(thm)],[])).
% 7.40/5.34 tff(9628,plain,
% 7.40/5.34 (~((~v90(constB79, bitIndex0)) <=> v90(constB78, bitIndex0))),
% 7.40/5.34 inference(unit_resolution,[status(thm)],[9627, 627])).
% 7.40/5.34 tff(9629,plain,
% 7.40/5.34 ((((~v129(constB78, bitIndex2)) <=> v127(constB77, bitIndex2)) | ((~v129(constB78, bitIndex1)) <=> v127(constB77, bitIndex1)) | ((~v129(constB78, bitIndex0)) <=> v127(constB77, bitIndex0))) | (~((~v129(constB78, bitIndex0)) <=> v127(constB77, bitIndex0)))),
% 7.40/5.34 inference(tautology,[status(thm)],[])).
% 7.40/5.34 tff(9630,plain,
% 7.40/5.34 (~((~v129(constB78, bitIndex0)) <=> v127(constB77, bitIndex0))),
% 7.40/5.34 inference(unit_resolution,[status(thm)],[9629, 636])).
% 7.40/5.34 tff(9631,plain,
% 7.40/5.34 ((((~v127(constB77, bitIndex2)) <=> v130(constB77, bitIndex2)) | ((~v127(constB77, bitIndex1)) <=> v130(constB77, bitIndex1)) | ((~v127(constB77, bitIndex0)) <=> v130(constB77, bitIndex0))) | (~((~v127(constB77, bitIndex0)) <=> v130(constB77, bitIndex0)))),
% 7.40/5.34 inference(tautology,[status(thm)],[])).
% 7.40/5.34 tff(9632,plain,
% 7.40/5.34 (~((~v127(constB77, bitIndex0)) <=> v130(constB77, bitIndex0))),
% 7.40/5.34 inference(unit_resolution,[status(thm)],[9631, 650])).
% 7.40/5.34 tff(9633,plain,
% 7.40/5.34 ((v130(constB77, bitIndex2) | v130(constB77, bitIndex0) | (~v130(constB77, bitIndex1))) | (~v130(constB77, bitIndex0))),
% 7.40/5.34 inference(tautology,[status(thm)],[])).
% 7.40/5.34 tff(9634,plain,
% 7.40/5.34 (~v130(constB77, bitIndex0)),
% 7.40/5.34 inference(unit_resolution,[status(thm)],[9633, 9510])).
% 7.40/5.34 tff(9635,plain,
% 7.40/5.34 (((~v127(constB77, bitIndex0)) <=> v130(constB77, bitIndex0)) | (~v127(constB77, bitIndex0)) | v130(constB77, bitIndex0)),
% 7.40/5.34 inference(tautology,[status(thm)],[])).
% 7.40/5.34 tff(9636,plain,
% 7.40/5.34 (~v127(constB77, bitIndex0)),
% 7.40/5.34 inference(unit_resolution,[status(thm)],[9635, 9634, 9632])).
% 7.40/5.34 tff(9637,plain,
% 7.40/5.34 (((~v129(constB78, bitIndex0)) <=> v127(constB77, bitIndex0)) | (~v129(constB78, bitIndex0)) | v127(constB77, bitIndex0)),
% 7.40/5.34 inference(tautology,[status(thm)],[])).
% 7.40/5.34 tff(9638,plain,
% 7.40/5.34 (~v129(constB78, bitIndex0)),
% 7.40/5.34 inference(unit_resolution,[status(thm)],[9637, 9636, 9630])).
% 7.40/5.34 tff(9639,plain,
% 7.40/5.34 ((((~v90(constB78, bitIndex0)) <=> v129(constB78, bitIndex0)) | ((~v90(constB78, bitIndex2)) <=> v129(constB78, bitIndex2)) | ((~v90(constB78, bitIndex1)) <=> v129(constB78, bitIndex1))) | (~((~v90(constB78, bitIndex0)) <=> v129(constB78, bitIndex0)))),
% 7.40/5.34 inference(tautology,[status(thm)],[])).
% 7.40/5.34 tff(9640,plain,
% 7.40/5.34 (~((~v90(constB78, bitIndex0)) <=> v129(constB78, bitIndex0))),
% 7.40/5.34 inference(unit_resolution,[status(thm)],[9639, 9620])).
% 7.40/5.34 tff(9641,plain,
% 7.40/5.34 (((~v90(constB78, bitIndex0)) <=> v129(constB78, bitIndex0)) | (~v90(constB78, bitIndex0)) | v129(constB78, bitIndex0)),
% 7.40/5.34 inference(tautology,[status(thm)],[])).
% 7.40/5.34 tff(9642,plain,
% 7.40/5.34 (~v90(constB78, bitIndex0)),
% 7.40/5.34 inference(unit_resolution,[status(thm)],[9641, 9640, 9638])).
% 7.40/5.34 tff(9643,plain,
% 7.40/5.34 (((~v90(constB79, bitIndex0)) <=> v90(constB78, bitIndex0)) | (~v90(constB79, bitIndex0)) | v90(constB78, bitIndex0)),
% 7.40/5.34 inference(tautology,[status(thm)],[])).
% 7.40/5.34 tff(9644,plain,
% 7.40/5.34 (~v90(constB79, bitIndex0)),
% 7.40/5.34 inference(unit_resolution,[status(thm)],[9643, 9642, 9628])).
% 7.40/5.34 tff(9645,plain,
% 7.40/5.34 ((((~v90(constB79, bitIndex1)) <=> v90(constB78, bitIndex1)) | ((~v90(constB79, bitIndex2)) <=> v90(constB78, bitIndex2)) | ((~v90(constB79, bitIndex0)) <=> v90(constB78, bitIndex0))) | (~((~v90(constB79, bitIndex1)) <=> v90(constB78, bitIndex1)))),
% 7.40/5.34 inference(tautology,[status(thm)],[])).
% 7.40/5.34 tff(9646,plain,
% 7.40/5.34 (~((~v90(constB79, bitIndex1)) <=> v90(constB78, bitIndex1))),
% 7.40/5.34 inference(unit_resolution,[status(thm)],[9645, 627])).
% 7.40/5.34 tff(9647,plain,
% 7.40/5.34 ((((~v129(constB78, bitIndex2)) <=> v127(constB77, bitIndex2)) | ((~v129(constB78, bitIndex1)) <=> v127(constB77, bitIndex1)) | ((~v129(constB78, bitIndex0)) <=> v127(constB77, bitIndex0))) | (~((~v129(constB78, bitIndex1)) <=> v127(constB77, bitIndex1)))),
% 7.40/5.34 inference(tautology,[status(thm)],[])).
% 7.40/5.34 tff(9648,plain,
% 7.40/5.34 (~((~v129(constB78, bitIndex1)) <=> v127(constB77, bitIndex1))),
% 7.40/5.34 inference(unit_resolution,[status(thm)],[9647, 636])).
% 7.40/5.35 tff(9649,plain,
% 7.40/5.35 ((((~v127(constB77, bitIndex2)) <=> v130(constB77, bitIndex2)) | ((~v127(constB77, bitIndex1)) <=> v130(constB77, bitIndex1)) | ((~v127(constB77, bitIndex0)) <=> v130(constB77, bitIndex0))) | (~((~v127(constB77, bitIndex1)) <=> v130(constB77, bitIndex1)))),
% 7.40/5.35 inference(tautology,[status(thm)],[])).
% 7.40/5.35 tff(9650,plain,
% 7.40/5.35 (~((~v127(constB77, bitIndex1)) <=> v130(constB77, bitIndex1))),
% 7.40/5.35 inference(unit_resolution,[status(thm)],[9649, 650])).
% 7.40/5.35 tff(9651,plain,
% 7.40/5.35 ((v130(constB77, bitIndex2) | v130(constB77, bitIndex0) | (~v130(constB77, bitIndex1))) | v130(constB77, bitIndex1)),
% 7.40/5.35 inference(tautology,[status(thm)],[])).
% 7.40/5.35 tff(9652,plain,
% 7.40/5.35 (v130(constB77, bitIndex1)),
% 7.40/5.35 inference(unit_resolution,[status(thm)],[9651, 9510])).
% 7.40/5.35 tff(9653,plain,
% 7.40/5.35 (((~v127(constB77, bitIndex1)) <=> v130(constB77, bitIndex1)) | v127(constB77, bitIndex1) | (~v130(constB77, bitIndex1))),
% 7.40/5.35 inference(tautology,[status(thm)],[])).
% 7.40/5.35 tff(9654,plain,
% 7.40/5.35 (v127(constB77, bitIndex1)),
% 7.40/5.35 inference(unit_resolution,[status(thm)],[9653, 9652, 9650])).
% 7.40/5.35 tff(9655,plain,
% 7.40/5.35 (((~v129(constB78, bitIndex1)) <=> v127(constB77, bitIndex1)) | v129(constB78, bitIndex1) | (~v127(constB77, bitIndex1))),
% 7.40/5.35 inference(tautology,[status(thm)],[])).
% 7.40/5.35 tff(9656,plain,
% 7.40/5.35 (v129(constB78, bitIndex1)),
% 7.40/5.35 inference(unit_resolution,[status(thm)],[9655, 9654, 9648])).
% 7.40/5.35 tff(9657,plain,
% 7.40/5.35 ((((~v90(constB78, bitIndex0)) <=> v129(constB78, bitIndex0)) | ((~v90(constB78, bitIndex2)) <=> v129(constB78, bitIndex2)) | ((~v90(constB78, bitIndex1)) <=> v129(constB78, bitIndex1))) | (~((~v90(constB78, bitIndex1)) <=> v129(constB78, bitIndex1)))),
% 7.40/5.35 inference(tautology,[status(thm)],[])).
% 7.40/5.35 tff(9658,plain,
% 7.40/5.35 (~((~v90(constB78, bitIndex1)) <=> v129(constB78, bitIndex1))),
% 7.40/5.35 inference(unit_resolution,[status(thm)],[9657, 9620])).
% 7.40/5.35 tff(9659,plain,
% 7.40/5.35 (((~v90(constB78, bitIndex1)) <=> v129(constB78, bitIndex1)) | v90(constB78, bitIndex1) | (~v129(constB78, bitIndex1))),
% 7.40/5.35 inference(tautology,[status(thm)],[])).
% 7.40/5.35 tff(9660,plain,
% 7.40/5.35 (v90(constB78, bitIndex1)),
% 7.40/5.35 inference(unit_resolution,[status(thm)],[9659, 9658, 9656])).
% 7.40/5.35 tff(9661,plain,
% 7.40/5.35 (((~v90(constB79, bitIndex1)) <=> v90(constB78, bitIndex1)) | v90(constB79, bitIndex1) | (~v90(constB78, bitIndex1))),
% 7.40/5.35 inference(tautology,[status(thm)],[])).
% 7.40/5.35 tff(9662,plain,
% 7.40/5.35 (v90(constB79, bitIndex1)),
% 7.40/5.35 inference(unit_resolution,[status(thm)],[9661, 9660, 9646])).
% 7.40/5.35 tff(9663,plain,
% 7.40/5.35 ((~(v90(constB79, bitIndex2) | v90(constB79, bitIndex0) | (~v90(constB79, bitIndex1)))) | v90(constB79, bitIndex2) | v90(constB79, bitIndex0) | (~v90(constB79, bitIndex1))),
% 7.40/5.35 inference(tautology,[status(thm)],[])).
% 7.40/5.35 tff(9664,plain,
% 7.40/5.35 (~(v90(constB79, bitIndex2) | v90(constB79, bitIndex0) | (~v90(constB79, bitIndex1)))),
% 7.40/5.35 inference(unit_resolution,[status(thm)],[9663, 9662, 9644, 9626])).
% 7.40/5.35 tff(9665,plain,
% 7.40/5.35 ((~(v121(constB79) <=> (~(v90(constB79, bitIndex2) | v90(constB79, bitIndex0) | (~v90(constB79, bitIndex1)))))) | v121(constB79) | (v90(constB79, bitIndex2) | v90(constB79, bitIndex0) | (~v90(constB79, bitIndex1)))),
% 7.40/5.35 inference(tautology,[status(thm)],[])).
% 7.40/5.35 tff(9666,plain,
% 7.40/5.35 (v121(constB79)),
% 7.40/5.35 inference(unit_resolution,[status(thm)],[9665, 9664, 593])).
% 7.40/5.35 tff(9667,plain,
% 7.40/5.35 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB79)) | (~(v130(constB79, bitIndex2) | (~v130(constB79, bitIndex1)) | (~v130(constB79, bitIndex0)))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | (~v121(constB79)) | (~(v130(constB79, bitIndex2) | (~v130(constB79, bitIndex1)) | (~v130(constB79, bitIndex0)))))),
% 7.40/5.35 inference(rewrite,[status(thm)],[])).
% 7.40/5.35 tff(9668,plain,
% 7.40/5.35 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB79)) | (~(v130(constB79, bitIndex2) | (~v130(constB79, bitIndex1)) | (~v130(constB79, bitIndex0)))))),
% 7.40/5.35 inference(quant_inst,[status(thm)],[])).
% 7.40/5.35 tff(9669,plain,
% 7.40/5.35 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | (~v121(constB79)) | (~(v130(constB79, bitIndex2) | (~v130(constB79, bitIndex1)) | (~v130(constB79, bitIndex0))))),
% 7.40/5.35 inference(modus_ponens,[status(thm)],[9668, 9667])).
% 7.40/5.35 tff(9670,plain,
% 7.40/5.35 ((~v121(constB79)) | (~(v130(constB79, bitIndex2) | (~v130(constB79, bitIndex1)) | (~v130(constB79, bitIndex0))))),
% 7.40/5.35 inference(unit_resolution,[status(thm)],[9669, 4055])).
% 7.40/5.35 tff(9671,plain,
% 7.40/5.35 (~(v130(constB79, bitIndex2) | (~v130(constB79, bitIndex1)) | (~v130(constB79, bitIndex0)))),
% 7.40/5.35 inference(unit_resolution,[status(thm)],[9670, 9666])).
% 7.40/5.35 tff(9672,plain,
% 7.40/5.35 ((v130(constB79, bitIndex2) | (~v130(constB79, bitIndex1)) | (~v130(constB79, bitIndex0))) | (~v130(constB79, bitIndex2))),
% 7.40/5.35 inference(tautology,[status(thm)],[])).
% 7.40/5.35 tff(9673,plain,
% 7.40/5.35 (~v130(constB79, bitIndex2)),
% 7.40/5.35 inference(unit_resolution,[status(thm)],[9672, 9671])).
% 7.40/5.35 tff(9674,plain,
% 7.40/5.35 (((~v127(constB79, bitIndex2)) <=> v130(constB79, bitIndex2)) | (~v127(constB79, bitIndex2)) | v130(constB79, bitIndex2)),
% 7.40/5.35 inference(tautology,[status(thm)],[])).
% 7.40/5.35 tff(9675,plain,
% 7.40/5.35 (~v127(constB79, bitIndex2)),
% 7.40/5.35 inference(unit_resolution,[status(thm)],[9674, 9673, 573])).
% 7.40/5.35 tff(9676,plain,
% 7.40/5.35 (((~v129(constB80, bitIndex2)) <=> v127(constB79, bitIndex2)) | (~v129(constB80, bitIndex2)) | v127(constB79, bitIndex2)),
% 7.40/5.35 inference(tautology,[status(thm)],[])).
% 7.40/5.35 tff(9677,plain,
% 7.40/5.35 (~v129(constB80, bitIndex2)),
% 7.40/5.35 inference(unit_resolution,[status(thm)],[9676, 9675, 526])).
% 7.40/5.35 tff(9678,plain,
% 7.40/5.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB79, constB80)) | (v100(constB80) <=> (~((~v101(constB80)) | (~v110(constB80))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB79, constB80)) | (v100(constB80) <=> (~((~v101(constB80)) | (~v110(constB80))))))),
% 7.40/5.35 inference(rewrite,[status(thm)],[])).
% 7.40/5.35 tff(9679,plain,
% 7.40/5.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB79, constB80)) | (v100(constB80) <=> (~((~v101(constB80)) | (~v110(constB80))))))),
% 7.40/5.35 inference(quant_inst,[status(thm)],[])).
% 7.40/5.35 tff(9680,plain,
% 7.40/5.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB79, constB80)) | (v100(constB80) <=> (~((~v101(constB80)) | (~v110(constB80)))))),
% 7.40/5.35 inference(modus_ponens,[status(thm)],[9679, 9678])).
% 7.40/5.35 tff(9681,plain,
% 7.40/5.35 (v100(constB80) <=> (~((~v101(constB80)) | (~v110(constB80))))),
% 7.40/5.35 inference(unit_resolution,[status(thm)],[9680, 520, 445])).
% 7.40/5.35 tff(9682,plain,
% 7.40/5.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB79, constB80)) | (v101(constB80) <=> (~((~v1(constB80)) | (~v102(constB80))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB79, constB80)) | (v101(constB80) <=> (~((~v1(constB80)) | (~v102(constB80))))))),
% 7.40/5.35 inference(rewrite,[status(thm)],[])).
% 7.40/5.35 tff(9683,plain,
% 7.40/5.35 (((~nextState(constB79, constB80)) | (v101(constB80) <=> (~((~v102(constB80)) | (~v1(constB80)))))) <=> ((~nextState(constB79, constB80)) | (v101(constB80) <=> (~((~v1(constB80)) | (~v102(constB80))))))),
% 7.40/5.35 inference(rewrite,[status(thm)],[])).
% 7.40/5.35 tff(9684,plain,
% 7.40/5.35 (((~![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) <=> (~((~v1(constB80)) | (~v102(constB80)))))))),
% 7.40/5.35 inference(monotonicity,[status(thm)],[9683])).
% 7.40/5.35 tff(9685,plain,
% 7.40/5.35 (((~![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) <=> (~((~v1(constB80)) | (~v102(constB80))))))),
% 7.40/5.35 inference(transitivity,[status(thm)],[9684, 9682])).
% 7.40/5.35 tff(9686,plain,
% 7.40/5.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB79, constB80)) | (v101(constB80) <=> (~((~v102(constB80)) | (~v1(constB80))))))),
% 7.40/5.35 inference(quant_inst,[status(thm)],[])).
% 7.40/5.35 tff(9687,plain,
% 7.40/5.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB79, constB80)) | (v101(constB80) <=> (~((~v1(constB80)) | (~v102(constB80)))))),
% 7.40/5.35 inference(modus_ponens,[status(thm)],[9686, 9685])).
% 7.40/5.35 tff(9688,plain,
% 7.40/5.35 (v101(constB80) <=> (~((~v1(constB80)) | (~v102(constB80))))),
% 7.40/5.35 inference(unit_resolution,[status(thm)],[9687, 520, 465])).
% 7.40/5.35 tff(9689,plain,
% 7.40/5.35 (((~![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)))),
% 7.40/5.35 inference(rewrite,[status(thm)],[])).
% 7.40/5.35 tff(9690,plain,
% 7.40/5.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB79, constB80)) | ((~v102(constB80)) <=> v104(constB80)))),
% 7.40/5.35 inference(quant_inst,[status(thm)],[])).
% 7.40/5.35 tff(9691,plain,
% 7.40/5.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB79, constB80)) | ((~v102(constB80)) <=> v104(constB80))),
% 7.40/5.35 inference(modus_ponens,[status(thm)],[9690, 9689])).
% 7.40/5.35 tff(9692,plain,
% 7.40/5.35 ((~v102(constB80)) <=> v104(constB80)),
% 7.40/5.35 inference(unit_resolution,[status(thm)],[9691, 520, 3244])).
% 7.40/5.35 tff(9693,plain,
% 7.40/5.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB79, constB80)) | (v104(constB80) <=> v1(constB79)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB79, constB80)) | (v104(constB80) <=> v1(constB79)))),
% 7.40/5.35 inference(rewrite,[status(thm)],[])).
% 7.40/5.35 tff(9694,plain,
% 7.40/5.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB79, constB80)) | (v104(constB80) <=> v1(constB79)))),
% 7.40/5.35 inference(quant_inst,[status(thm)],[])).
% 7.40/5.35 tff(9695,plain,
% 7.40/5.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB79, constB80)) | (v104(constB80) <=> v1(constB79))),
% 7.40/5.35 inference(modus_ponens,[status(thm)],[9694, 9693])).
% 7.40/5.35 tff(9696,plain,
% 7.40/5.35 (v104(constB80) <=> v1(constB79)),
% 7.40/5.35 inference(unit_resolution,[status(thm)],[9695, 520, 3258])).
% 7.40/5.35 tff(9697,plain,
% 7.40/5.35 ((~(v104(constB80) <=> v1(constB79))) | (~v104(constB80)) | v1(constB79)),
% 7.40/5.35 inference(tautology,[status(thm)],[])).
% 7.40/5.35 tff(9698,plain,
% 7.40/5.35 ((~(v104(constB80) <=> v1(constB79))) | (~v104(constB80))),
% 7.40/5.35 inference(unit_resolution,[status(thm)],[9697, 610])).
% 7.40/5.35 tff(9699,plain,
% 7.40/5.35 (~v104(constB80)),
% 7.40/5.35 inference(unit_resolution,[status(thm)],[9698, 9696])).
% 7.40/5.35 tff(9700,plain,
% 7.40/5.35 ((~((~v102(constB80)) <=> v104(constB80))) | v102(constB80) | v104(constB80)),
% 7.40/5.35 inference(tautology,[status(thm)],[])).
% 7.40/5.35 tff(9701,plain,
% 7.40/5.35 (v102(constB80)),
% 7.40/5.35 inference(unit_resolution,[status(thm)],[9700, 9699, 9692])).
% 7.40/5.35 tff(9702,plain,
% 7.40/5.35 (v1(constB80) <=> v1(constB80)),
% 7.40/5.35 inference(rewrite,[status(thm)],[])).
% 7.40/5.35 tff(9703,axiom,(v1(constB80)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_80')).
% 7.40/5.35 tff(9704,plain,
% 7.40/5.35 (v1(constB80)),
% 7.40/5.35 inference(modus_ponens,[status(thm)],[9703, 9702])).
% 7.40/5.35 tff(9705,plain,
% 7.40/5.35 ((~((~v1(constB80)) | (~v102(constB80)))) | (~v1(constB80)) | (~v102(constB80))),
% 7.40/5.35 inference(tautology,[status(thm)],[])).
% 7.40/5.35 tff(9706,plain,
% 7.40/5.35 ((~((~v1(constB80)) | (~v102(constB80)))) | (~v102(constB80))),
% 7.40/5.35 inference(unit_resolution,[status(thm)],[9705, 9704])).
% 7.40/5.35 tff(9707,plain,
% 7.40/5.35 (~((~v1(constB80)) | (~v102(constB80)))),
% 7.40/5.35 inference(unit_resolution,[status(thm)],[9706, 9701])).
% 7.40/5.35 tff(9708,plain,
% 7.40/5.35 ((~(v101(constB80) <=> (~((~v1(constB80)) | (~v102(constB80)))))) | v101(constB80) | ((~v1(constB80)) | (~v102(constB80)))),
% 7.40/5.35 inference(tautology,[status(thm)],[])).
% 7.40/5.35 tff(9709,plain,
% 7.40/5.35 (v101(constB80)),
% 7.40/5.35 inference(unit_resolution,[status(thm)],[9708, 9707, 9688])).
% 7.40/5.35 tff(9710,plain,
% 7.40/5.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB79, constB80)) | (v110(constB80) <=> v108(constB79)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB79, constB80)) | (v110(constB80) <=> v108(constB79)))),
% 7.40/5.35 inference(rewrite,[status(thm)],[])).
% 7.40/5.35 tff(9711,plain,
% 7.40/5.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB79, constB80)) | (v110(constB80) <=> v108(constB79)))),
% 7.40/5.35 inference(quant_inst,[status(thm)],[])).
% 7.40/5.35 tff(9712,plain,
% 7.40/5.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB79, constB80)) | (v110(constB80) <=> v108(constB79))),
% 7.40/5.35 inference(modus_ponens,[status(thm)],[9711, 9710])).
% 7.40/5.35 tff(9713,plain,
% 7.40/5.35 (v110(constB80) <=> v108(constB79)),
% 7.40/5.35 inference(unit_resolution,[status(thm)],[9712, 520, 3285])).
% 7.40/5.35 tff(9714,plain,
% 7.40/5.35 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB79) <=> (v111(constB79) | v112(constB79)))),
% 7.40/5.35 inference(quant_inst,[status(thm)],[])).
% 7.40/5.35 tff(9715,plain,
% 7.40/5.35 (v108(constB79) <=> (v111(constB79) | v112(constB79))),
% 7.40/5.35 inference(unit_resolution,[status(thm)],[9714, 3296])).
% 7.40/5.35 tff(9716,plain,
% 7.40/5.35 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB79) <=> (~((~v113(constB79)) | (~v126(constB79)))))),
% 7.40/5.35 inference(quant_inst,[status(thm)],[])).
% 7.40/5.35 tff(9717,plain,
% 7.40/5.35 (v112(constB79) <=> (~((~v113(constB79)) | (~v126(constB79))))),
% 7.40/5.35 inference(unit_resolution,[status(thm)],[9716, 3308])).
% 7.40/5.35 tff(9718,plain,
% 7.40/5.35 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB79) <=> (v114(constB79) | v125(constB79)))),
% 7.40/5.35 inference(quant_inst,[status(thm)],[])).
% 7.40/5.35 tff(9719,plain,
% 7.40/5.35 (v113(constB79) <=> (v114(constB79) | v125(constB79))),
% 7.40/5.35 inference(unit_resolution,[status(thm)],[9718, 3317])).
% 7.40/5.35 tff(9720,plain,
% 7.40/5.35 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB79) <=> (v115(constB79) | v124(constB79)))),
% 7.40/5.35 inference(quant_inst,[status(thm)],[])).
% 7.40/5.35 tff(9721,plain,
% 7.40/5.35 (v114(constB79) <=> (v115(constB79) | v124(constB79))),
% 7.40/5.35 inference(unit_resolution,[status(thm)],[9720, 3326])).
% 7.40/5.35 tff(9722,plain,
% 7.40/5.35 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB79) <=> (v116(constB79) | v123(constB79)))),
% 7.40/5.35 inference(quant_inst,[status(thm)],[])).
% 7.40/5.35 tff(9723,plain,
% 7.40/5.35 (v115(constB79) <=> (v116(constB79) | v123(constB79))),
% 7.40/5.35 inference(unit_resolution,[status(thm)],[9722, 3335])).
% 7.40/5.35 tff(9724,plain,
% 7.40/5.35 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB79) <=> (v117(constB79) | v122(constB79)))),
% 7.40/5.35 inference(quant_inst,[status(thm)],[])).
% 7.40/5.35 tff(9725,plain,
% 7.40/5.35 (v116(constB79) <=> (v117(constB79) | v122(constB79))),
% 7.40/5.35 inference(unit_resolution,[status(thm)],[9724, 3344])).
% 7.40/5.35 tff(9726,plain,
% 7.40/5.35 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB79) <=> (v118(constB79) | v121(constB79)))),
% 7.40/5.35 inference(quant_inst,[status(thm)],[])).
% 7.40/5.35 tff(9727,plain,
% 7.40/5.35 (v117(constB79) <=> (v118(constB79) | v121(constB79))),
% 7.40/5.35 inference(unit_resolution,[status(thm)],[9726, 3353])).
% 7.40/5.35 tff(9728,plain,
% 7.40/5.35 ((v118(constB79) | v121(constB79)) | (~v121(constB79))),
% 7.40/5.35 inference(tautology,[status(thm)],[])).
% 7.40/5.35 tff(9729,plain,
% 7.40/5.35 (v118(constB79) | v121(constB79)),
% 7.40/5.35 inference(unit_resolution,[status(thm)],[9728, 9666])).
% 7.40/5.35 tff(9730,plain,
% 7.40/5.35 ((~(v117(constB79) <=> (v118(constB79) | v121(constB79)))) | v117(constB79) | (~(v118(constB79) | v121(constB79)))),
% 7.40/5.35 inference(tautology,[status(thm)],[])).
% 7.40/5.35 tff(9731,plain,
% 7.40/5.35 (v117(constB79)),
% 7.40/5.35 inference(unit_resolution,[status(thm)],[9730, 9729, 9727])).
% 7.40/5.35 tff(9732,plain,
% 7.40/5.35 ((v117(constB79) | v122(constB79)) | (~v117(constB79))),
% 7.40/5.35 inference(tautology,[status(thm)],[])).
% 7.40/5.35 tff(9733,plain,
% 7.40/5.35 (v117(constB79) | v122(constB79)),
% 7.40/5.35 inference(unit_resolution,[status(thm)],[9732, 9731])).
% 7.40/5.35 tff(9734,plain,
% 7.40/5.35 ((~(v116(constB79) <=> (v117(constB79) | v122(constB79)))) | v116(constB79) | (~(v117(constB79) | v122(constB79)))),
% 7.40/5.35 inference(tautology,[status(thm)],[])).
% 7.40/5.35 tff(9735,plain,
% 7.40/5.35 (v116(constB79)),
% 7.40/5.35 inference(unit_resolution,[status(thm)],[9734, 9733, 9725])).
% 7.40/5.35 tff(9736,plain,
% 7.40/5.35 ((v116(constB79) | v123(constB79)) | (~v116(constB79))),
% 7.40/5.35 inference(tautology,[status(thm)],[])).
% 7.40/5.35 tff(9737,plain,
% 7.40/5.35 (v116(constB79) | v123(constB79)),
% 7.40/5.35 inference(unit_resolution,[status(thm)],[9736, 9735])).
% 7.40/5.35 tff(9738,plain,
% 7.40/5.35 ((~(v115(constB79) <=> (v116(constB79) | v123(constB79)))) | v115(constB79) | (~(v116(constB79) | v123(constB79)))),
% 7.40/5.35 inference(tautology,[status(thm)],[])).
% 7.40/5.35 tff(9739,plain,
% 7.40/5.35 (v115(constB79)),
% 7.40/5.35 inference(unit_resolution,[status(thm)],[9738, 9737, 9723])).
% 7.40/5.35 tff(9740,plain,
% 7.40/5.35 ((v115(constB79) | v124(constB79)) | (~v115(constB79))),
% 7.40/5.35 inference(tautology,[status(thm)],[])).
% 7.40/5.35 tff(9741,plain,
% 7.40/5.35 (v115(constB79) | v124(constB79)),
% 7.40/5.35 inference(unit_resolution,[status(thm)],[9740, 9739])).
% 7.40/5.35 tff(9742,plain,
% 7.40/5.35 ((~(v114(constB79) <=> (v115(constB79) | v124(constB79)))) | v114(constB79) | (~(v115(constB79) | v124(constB79)))),
% 7.40/5.35 inference(tautology,[status(thm)],[])).
% 7.40/5.35 tff(9743,plain,
% 7.40/5.35 (v114(constB79)),
% 7.40/5.35 inference(unit_resolution,[status(thm)],[9742, 9741, 9721])).
% 7.40/5.35 tff(9744,plain,
% 7.40/5.35 ((v114(constB79) | v125(constB79)) | (~v114(constB79))),
% 7.40/5.35 inference(tautology,[status(thm)],[])).
% 7.40/5.35 tff(9745,plain,
% 7.40/5.35 (v114(constB79) | v125(constB79)),
% 7.40/5.35 inference(unit_resolution,[status(thm)],[9744, 9743])).
% 7.40/5.35 tff(9746,plain,
% 7.40/5.35 ((~(v113(constB79) <=> (v114(constB79) | v125(constB79)))) | v113(constB79) | (~(v114(constB79) | v125(constB79)))),
% 7.40/5.35 inference(tautology,[status(thm)],[])).
% 7.40/5.35 tff(9747,plain,
% 7.40/5.35 (v113(constB79)),
% 7.40/5.35 inference(unit_resolution,[status(thm)],[9746, 9745, 9719])).
% 7.40/5.35 tff(9748,plain,
% 7.40/5.35 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB79)) <=> v111(constB79))),
% 7.40/5.35 inference(quant_inst,[status(thm)],[])).
% 7.40/5.35 tff(9749,plain,
% 7.40/5.35 ((~v126(constB79)) <=> v111(constB79)),
% 7.40/5.35 inference(unit_resolution,[status(thm)],[9748, 3396])).
% 7.40/5.35 tff(9750,plain,
% 7.40/5.35 ((~((~v126(constB79)) <=> v111(constB79))) | v126(constB79) | v111(constB79)),
% 7.40/5.35 inference(tautology,[status(thm)],[])).
% 7.40/5.35 tff(9751,plain,
% 7.40/5.35 ((~((~v126(constB79)) <=> v111(constB79))) | v126(constB79)),
% 7.40/5.35 inference(unit_resolution,[status(thm)],[9750, 553])).
% 7.40/5.35 tff(9752,plain,
% 7.40/5.35 (v126(constB79)),
% 7.40/5.35 inference(unit_resolution,[status(thm)],[9751, 9749])).
% 7.40/5.35 tff(9753,plain,
% 7.40/5.35 ((~((~v113(constB79)) | (~v126(constB79)))) | (~v113(constB79)) | (~v126(constB79))),
% 7.40/5.35 inference(tautology,[status(thm)],[])).
% 7.40/5.35 tff(9754,plain,
% 7.40/5.35 ((~((~v113(constB79)) | (~v126(constB79)))) | (~v113(constB79))),
% 7.40/5.35 inference(unit_resolution,[status(thm)],[9753, 9752])).
% 7.40/5.35 tff(9755,plain,
% 7.40/5.35 (~((~v113(constB79)) | (~v126(constB79)))),
% 7.40/5.35 inference(unit_resolution,[status(thm)],[9754, 9747])).
% 7.40/5.35 tff(9756,plain,
% 7.40/5.35 ((~(v112(constB79) <=> (~((~v113(constB79)) | (~v126(constB79)))))) | v112(constB79) | ((~v113(constB79)) | (~v126(constB79)))),
% 7.40/5.35 inference(tautology,[status(thm)],[])).
% 7.40/5.35 tff(9757,plain,
% 7.40/5.35 (v112(constB79)),
% 7.40/5.35 inference(unit_resolution,[status(thm)],[9756, 9755, 9717])).
% 7.40/5.35 tff(9758,plain,
% 7.40/5.35 ((v111(constB79) | v112(constB79)) | (~v112(constB79))),
% 7.40/5.35 inference(tautology,[status(thm)],[])).
% 7.40/5.35 tff(9759,plain,
% 7.40/5.35 (v111(constB79) | v112(constB79)),
% 7.40/5.35 inference(unit_resolution,[status(thm)],[9758, 9757])).
% 7.40/5.35 tff(9760,plain,
% 7.40/5.35 ((~(v108(constB79) <=> (v111(constB79) | v112(constB79)))) | v108(constB79) | (~(v111(constB79) | v112(constB79)))),
% 7.40/5.35 inference(tautology,[status(thm)],[])).
% 7.40/5.35 tff(9761,plain,
% 7.40/5.35 (v108(constB79)),
% 7.40/5.35 inference(unit_resolution,[status(thm)],[9760, 9759, 9715])).
% 7.40/5.35 tff(9762,plain,
% 7.40/5.35 ((~(v110(constB80) <=> v108(constB79))) | v110(constB80) | (~v108(constB79))),
% 7.40/5.35 inference(tautology,[status(thm)],[])).
% 7.40/5.35 tff(9763,plain,
% 7.40/5.35 (v110(constB80)),
% 7.40/5.35 inference(unit_resolution,[status(thm)],[9762, 9761, 9713])).
% 7.40/5.35 tff(9764,plain,
% 7.40/5.35 ((~((~v101(constB80)) | (~v110(constB80)))) | (~v101(constB80)) | (~v110(constB80))),
% 7.40/5.35 inference(tautology,[status(thm)],[])).
% 7.40/5.35 tff(9765,plain,
% 7.40/5.35 (~((~v101(constB80)) | (~v110(constB80)))),
% 7.40/5.35 inference(unit_resolution,[status(thm)],[9764, 9763, 9709])).
% 7.40/5.35 tff(9766,plain,
% 7.40/5.35 ((~(v100(constB80) <=> (~((~v101(constB80)) | (~v110(constB80)))))) | v100(constB80) | ((~v101(constB80)) | (~v110(constB80)))),
% 7.40/5.35 inference(tautology,[status(thm)],[])).
% 7.40/5.35 tff(9767,plain,
% 7.40/5.35 (v100(constB80)),
% 7.40/5.35 inference(unit_resolution,[status(thm)],[9766, 9765, 9681])).
% 7.40/5.35 tff(9768,plain,
% 7.40/5.35 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB80)) | (~(((~v90(constB80, bitIndex2)) <=> v129(constB80, bitIndex2)) | ((~v90(constB80, bitIndex1)) <=> v129(constB80, bitIndex1)) | ((~v90(constB80, bitIndex0)) <=> v129(constB80, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB80)) | (~(((~v90(constB80, bitIndex2)) <=> v129(constB80, bitIndex2)) | ((~v90(constB80, bitIndex1)) <=> v129(constB80, bitIndex1)) | ((~v90(constB80, bitIndex0)) <=> v129(constB80, bitIndex0)))))),
% 7.40/5.35 inference(rewrite,[status(thm)],[])).
% 7.40/5.35 tff(9769,plain,
% 7.40/5.35 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB80)) | (~(((~v90(constB80, bitIndex2)) <=> v129(constB80, bitIndex2)) | ((~v90(constB80, bitIndex1)) <=> v129(constB80, bitIndex1)) | ((~v90(constB80, bitIndex0)) <=> v129(constB80, bitIndex0)))))),
% 7.40/5.35 inference(quant_inst,[status(thm)],[])).
% 7.40/5.35 tff(9770,plain,
% 7.40/5.35 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB80)) | (~(((~v90(constB80, bitIndex2)) <=> v129(constB80, bitIndex2)) | ((~v90(constB80, bitIndex1)) <=> v129(constB80, bitIndex1)) | ((~v90(constB80, bitIndex0)) <=> v129(constB80, bitIndex0))))),
% 7.40/5.35 inference(modus_ponens,[status(thm)],[9769, 9768])).
% 7.40/5.35 tff(9771,plain,
% 7.40/5.35 ((~v100(constB80)) | (~(((~v90(constB80, bitIndex2)) <=> v129(constB80, bitIndex2)) | ((~v90(constB80, bitIndex1)) <=> v129(constB80, bitIndex1)) | ((~v90(constB80, bitIndex0)) <=> v129(constB80, bitIndex0))))),
% 7.40/5.35 inference(unit_resolution,[status(thm)],[9770, 3429])).
% 7.40/5.35 tff(9772,plain,
% 7.40/5.35 (~(((~v90(constB80, bitIndex2)) <=> v129(constB80, bitIndex2)) | ((~v90(constB80, bitIndex1)) <=> v129(constB80, bitIndex1)) | ((~v90(constB80, bitIndex0)) <=> v129(constB80, bitIndex0)))),
% 7.40/5.35 inference(unit_resolution,[status(thm)],[9771, 9767])).
% 7.40/5.35 tff(9773,plain,
% 7.40/5.35 ((((~v90(constB80, bitIndex2)) <=> v129(constB80, bitIndex2)) | ((~v90(constB80, bitIndex1)) <=> v129(constB80, bitIndex1)) | ((~v90(constB80, bitIndex0)) <=> v129(constB80, bitIndex0))) | (~((~v90(constB80, bitIndex2)) <=> v129(constB80, bitIndex2)))),
% 7.40/5.35 inference(tautology,[status(thm)],[])).
% 7.40/5.35 tff(9774,plain,
% 7.40/5.35 (~((~v90(constB80, bitIndex2)) <=> v129(constB80, bitIndex2))),
% 7.40/5.35 inference(unit_resolution,[status(thm)],[9773, 9772])).
% 7.40/5.35 tff(9775,plain,
% 7.40/5.35 (((~v90(constB80, bitIndex2)) <=> v129(constB80, bitIndex2)) | (~v90(constB80, bitIndex2)) | v129(constB80, bitIndex2)),
% 7.40/5.35 inference(tautology,[status(thm)],[])).
% 7.40/5.35 tff(9776,plain,
% 7.40/5.35 (~v90(constB80, bitIndex2)),
% 7.40/5.35 inference(unit_resolution,[status(thm)],[9775, 9774, 9677])).
% 7.40/5.35 tff(9777,plain,
% 7.40/5.35 (((~v90(constB81, bitIndex2)) <=> v90(constB80, bitIndex2)) | (~v90(constB81, bitIndex2)) | v90(constB80, bitIndex2)),
% 7.40/5.35 inference(tautology,[status(thm)],[])).
% 7.40/5.35 tff(9778,plain,
% 7.40/5.35 (~v90(constB81, bitIndex2)),
% 7.40/5.35 inference(unit_resolution,[status(thm)],[9777, 9776, 504])).
% 7.40/5.35 tff(9779,plain,
% 7.40/5.35 (((~v88(constB81, bitIndex2)) <=> v90(constB81, bitIndex2)) | (~v88(constB81, bitIndex2)) | v90(constB81, bitIndex2)),
% 7.40/5.35 inference(tautology,[status(thm)],[])).
% 7.40/5.35 tff(9780,plain,
% 7.40/5.35 (~v88(constB81, bitIndex2)),
% 7.40/5.35 inference(unit_resolution,[status(thm)],[9779, 9778, 432])).
% 7.40/5.35 tff(9781,plain,
% 7.40/5.35 ((((~v88(constB81, bitIndex1)) <=> v90(constB81, bitIndex1)) | ((~v88(constB81, bitIndex2)) <=> v90(constB81, bitIndex2)) | ((~v88(constB81, bitIndex0)) <=> v90(constB81, bitIndex0))) | (~((~v88(constB81, bitIndex0)) <=> v90(constB81, bitIndex0)))),
% 7.40/5.35 inference(tautology,[status(thm)],[])).
% 7.40/5.35 tff(9782,plain,
% 7.40/5.35 (~((~v88(constB81, bitIndex0)) <=> v90(constB81, bitIndex0))),
% 7.40/5.35 inference(unit_resolution,[status(thm)],[9781, 430])).
% 7.40/5.35 tff(9783,plain,
% 7.40/5.35 ((((~v90(constB81, bitIndex1)) <=> v90(constB80, bitIndex1)) | ((~v90(constB81, bitIndex2)) <=> v90(constB80, bitIndex2)) | ((~v90(constB81, bitIndex0)) <=> v90(constB80, bitIndex0))) | (~((~v90(constB81, bitIndex0)) <=> v90(constB80, bitIndex0)))),
% 7.40/5.35 inference(tautology,[status(thm)],[])).
% 7.40/5.35 tff(9784,plain,
% 7.40/5.35 (~((~v90(constB81, bitIndex0)) <=> v90(constB80, bitIndex0))),
% 7.40/5.35 inference(unit_resolution,[status(thm)],[9783, 502])).
% 7.40/5.35 tff(9785,plain,
% 7.40/5.35 ((((~v129(constB80, bitIndex2)) <=> v127(constB79, bitIndex2)) | ((~v129(constB80, bitIndex1)) <=> v127(constB79, bitIndex1)) | ((~v129(constB80, bitIndex0)) <=> v127(constB79, bitIndex0))) | (~((~v129(constB80, bitIndex0)) <=> v127(constB79, bitIndex0)))),
% 7.40/5.35 inference(tautology,[status(thm)],[])).
% 7.40/5.35 tff(9786,plain,
% 7.40/5.35 (~((~v129(constB80, bitIndex0)) <=> v127(constB79, bitIndex0))),
% 7.40/5.35 inference(unit_resolution,[status(thm)],[9785, 524])).
% 7.40/5.35 tff(9787,plain,
% 7.40/5.35 ((((~v127(constB79, bitIndex2)) <=> v130(constB79, bitIndex2)) | ((~v127(constB79, bitIndex1)) <=> v130(constB79, bitIndex1)) | ((~v127(constB79, bitIndex0)) <=> v130(constB79, bitIndex0))) | (~((~v127(constB79, bitIndex0)) <=> v130(constB79, bitIndex0)))),
% 7.40/5.35 inference(tautology,[status(thm)],[])).
% 7.40/5.35 tff(9788,plain,
% 7.40/5.35 (~((~v127(constB79, bitIndex0)) <=> v130(constB79, bitIndex0))),
% 7.40/5.35 inference(unit_resolution,[status(thm)],[9787, 571])).
% 7.40/5.35 tff(9789,plain,
% 7.40/5.35 ((v130(constB79, bitIndex2) | (~v130(constB79, bitIndex1)) | (~v130(constB79, bitIndex0))) | v130(constB79, bitIndex0)),
% 7.40/5.35 inference(tautology,[status(thm)],[])).
% 7.40/5.35 tff(9790,plain,
% 7.40/5.35 (v130(constB79, bitIndex0)),
% 7.40/5.35 inference(unit_resolution,[status(thm)],[9789, 9671])).
% 7.40/5.35 tff(9791,plain,
% 7.40/5.35 (((~v127(constB79, bitIndex0)) <=> v130(constB79, bitIndex0)) | v127(constB79, bitIndex0) | (~v130(constB79, bitIndex0))),
% 7.40/5.35 inference(tautology,[status(thm)],[])).
% 7.40/5.35 tff(9792,plain,
% 7.40/5.35 (v127(constB79, bitIndex0)),
% 7.40/5.35 inference(unit_resolution,[status(thm)],[9791, 9790, 9788])).
% 7.40/5.35 tff(9793,plain,
% 7.40/5.35 (((~v129(constB80, bitIndex0)) <=> v127(constB79, bitIndex0)) | v129(constB80, bitIndex0) | (~v127(constB79, bitIndex0))),
% 7.40/5.35 inference(tautology,[status(thm)],[])).
% 7.40/5.35 tff(9794,plain,
% 7.40/5.35 (v129(constB80, bitIndex0)),
% 7.40/5.35 inference(unit_resolution,[status(thm)],[9793, 9792, 9786])).
% 7.40/5.35 tff(9795,plain,
% 7.40/5.35 ((((~v90(constB80, bitIndex2)) <=> v129(constB80, bitIndex2)) | ((~v90(constB80, bitIndex1)) <=> v129(constB80, bitIndex1)) | ((~v90(constB80, bitIndex0)) <=> v129(constB80, bitIndex0))) | (~((~v90(constB80, bitIndex0)) <=> v129(constB80, bitIndex0)))),
% 7.40/5.35 inference(tautology,[status(thm)],[])).
% 7.40/5.35 tff(9796,plain,
% 7.40/5.35 (~((~v90(constB80, bitIndex0)) <=> v129(constB80, bitIndex0))),
% 7.40/5.35 inference(unit_resolution,[status(thm)],[9795, 9772])).
% 7.40/5.35 tff(9797,plain,
% 7.40/5.35 (((~v90(constB80, bitIndex0)) <=> v129(constB80, bitIndex0)) | v90(constB80, bitIndex0) | (~v129(constB80, bitIndex0))),
% 7.40/5.35 inference(tautology,[status(thm)],[])).
% 7.40/5.35 tff(9798,plain,
% 7.40/5.35 (v90(constB80, bitIndex0)),
% 7.40/5.35 inference(unit_resolution,[status(thm)],[9797, 9796, 9794])).
% 7.40/5.35 tff(9799,plain,
% 7.40/5.35 (((~v90(constB81, bitIndex0)) <=> v90(constB80, bitIndex0)) | v90(constB81, bitIndex0) | (~v90(constB80, bitIndex0))),
% 7.40/5.35 inference(tautology,[status(thm)],[])).
% 7.40/5.35 tff(9800,plain,
% 7.40/5.35 (v90(constB81, bitIndex0)),
% 7.40/5.35 inference(unit_resolution,[status(thm)],[9799, 9798, 9784])).
% 7.40/5.35 tff(9801,plain,
% 7.40/5.35 (((~v88(constB81, bitIndex0)) <=> v90(constB81, bitIndex0)) | v88(constB81, bitIndex0) | (~v90(constB81, bitIndex0))),
% 7.40/5.35 inference(tautology,[status(thm)],[])).
% 7.40/5.35 tff(9802,plain,
% 7.40/5.35 (v88(constB81, bitIndex0)),
% 7.40/5.35 inference(unit_resolution,[status(thm)],[9801, 9800, 9782])).
% 7.40/5.35 tff(9803,plain,
% 7.40/5.35 ((((~v88(constB81, bitIndex1)) <=> v90(constB81, bitIndex1)) | ((~v88(constB81, bitIndex2)) <=> v90(constB81, bitIndex2)) | ((~v88(constB81, bitIndex0)) <=> v90(constB81, bitIndex0))) | (~((~v88(constB81, bitIndex1)) <=> v90(constB81, bitIndex1)))),
% 7.40/5.35 inference(tautology,[status(thm)],[])).
% 7.40/5.35 tff(9804,plain,
% 7.40/5.35 (~((~v88(constB81, bitIndex1)) <=> v90(constB81, bitIndex1))),
% 7.40/5.35 inference(unit_resolution,[status(thm)],[9803, 430])).
% 7.40/5.35 tff(9805,plain,
% 7.40/5.35 ((((~v90(constB81, bitIndex1)) <=> v90(constB80, bitIndex1)) | ((~v90(constB81, bitIndex2)) <=> v90(constB80, bitIndex2)) | ((~v90(constB81, bitIndex0)) <=> v90(constB80, bitIndex0))) | (~((~v90(constB81, bitIndex1)) <=> v90(constB80, bitIndex1)))),
% 7.40/5.35 inference(tautology,[status(thm)],[])).
% 7.40/5.35 tff(9806,plain,
% 7.40/5.35 (~((~v90(constB81, bitIndex1)) <=> v90(constB80, bitIndex1))),
% 7.40/5.35 inference(unit_resolution,[status(thm)],[9805, 502])).
% 7.40/5.35 tff(9807,plain,
% 7.40/5.35 ((((~v129(constB80, bitIndex2)) <=> v127(constB79, bitIndex2)) | ((~v129(constB80, bitIndex1)) <=> v127(constB79, bitIndex1)) | ((~v129(constB80, bitIndex0)) <=> v127(constB79, bitIndex0))) | (~((~v129(constB80, bitIndex1)) <=> v127(constB79, bitIndex1)))),
% 7.40/5.35 inference(tautology,[status(thm)],[])).
% 7.40/5.35 tff(9808,plain,
% 7.40/5.35 (~((~v129(constB80, bitIndex1)) <=> v127(constB79, bitIndex1))),
% 7.40/5.35 inference(unit_resolution,[status(thm)],[9807, 524])).
% 7.40/5.35 tff(9809,plain,
% 7.40/5.35 ((((~v127(constB79, bitIndex2)) <=> v130(constB79, bitIndex2)) | ((~v127(constB79, bitIndex1)) <=> v130(constB79, bitIndex1)) | ((~v127(constB79, bitIndex0)) <=> v130(constB79, bitIndex0))) | (~((~v127(constB79, bitIndex1)) <=> v130(constB79, bitIndex1)))),
% 7.40/5.35 inference(tautology,[status(thm)],[])).
% 7.40/5.35 tff(9810,plain,
% 7.40/5.35 (~((~v127(constB79, bitIndex1)) <=> v130(constB79, bitIndex1))),
% 7.40/5.35 inference(unit_resolution,[status(thm)],[9809, 571])).
% 7.40/5.35 tff(9811,plain,
% 7.40/5.35 ((v130(constB79, bitIndex2) | (~v130(constB79, bitIndex1)) | (~v130(constB79, bitIndex0))) | v130(constB79, bitIndex1)),
% 7.40/5.35 inference(tautology,[status(thm)],[])).
% 7.40/5.35 tff(9812,plain,
% 7.40/5.35 (v130(constB79, bitIndex1)),
% 7.40/5.35 inference(unit_resolution,[status(thm)],[9811, 9671])).
% 7.40/5.35 tff(9813,plain,
% 7.40/5.35 (((~v127(constB79, bitIndex1)) <=> v130(constB79, bitIndex1)) | v127(constB79, bitIndex1) | (~v130(constB79, bitIndex1))),
% 7.40/5.35 inference(tautology,[status(thm)],[])).
% 7.40/5.35 tff(9814,plain,
% 7.40/5.35 (v127(constB79, bitIndex1)),
% 7.40/5.35 inference(unit_resolution,[status(thm)],[9813, 9812, 9810])).
% 7.40/5.35 tff(9815,plain,
% 7.40/5.35 (((~v129(constB80, bitIndex1)) <=> v127(constB79, bitIndex1)) | v129(constB80, bitIndex1) | (~v127(constB79, bitIndex1))),
% 7.40/5.35 inference(tautology,[status(thm)],[])).
% 7.40/5.35 tff(9816,plain,
% 7.40/5.35 (v129(constB80, bitIndex1)),
% 7.40/5.35 inference(unit_resolution,[status(thm)],[9815, 9814, 9808])).
% 7.40/5.36 tff(9817,plain,
% 7.40/5.36 ((((~v90(constB80, bitIndex2)) <=> v129(constB80, bitIndex2)) | ((~v90(constB80, bitIndex1)) <=> v129(constB80, bitIndex1)) | ((~v90(constB80, bitIndex0)) <=> v129(constB80, bitIndex0))) | (~((~v90(constB80, bitIndex1)) <=> v129(constB80, bitIndex1)))),
% 7.40/5.36 inference(tautology,[status(thm)],[])).
% 7.40/5.36 tff(9818,plain,
% 7.40/5.36 (~((~v90(constB80, bitIndex1)) <=> v129(constB80, bitIndex1))),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[9817, 9772])).
% 7.40/5.36 tff(9819,plain,
% 7.40/5.36 (((~v90(constB80, bitIndex1)) <=> v129(constB80, bitIndex1)) | v90(constB80, bitIndex1) | (~v129(constB80, bitIndex1))),
% 7.40/5.36 inference(tautology,[status(thm)],[])).
% 7.40/5.36 tff(9820,plain,
% 7.40/5.36 (v90(constB80, bitIndex1)),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[9819, 9818, 9816])).
% 7.40/5.36 tff(9821,plain,
% 7.40/5.36 (((~v90(constB81, bitIndex1)) <=> v90(constB80, bitIndex1)) | v90(constB81, bitIndex1) | (~v90(constB80, bitIndex1))),
% 7.40/5.36 inference(tautology,[status(thm)],[])).
% 7.40/5.36 tff(9822,plain,
% 7.40/5.36 (v90(constB81, bitIndex1)),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[9821, 9820, 9806])).
% 7.40/5.36 tff(9823,plain,
% 7.40/5.36 (((~v88(constB81, bitIndex1)) <=> v90(constB81, bitIndex1)) | v88(constB81, bitIndex1) | (~v90(constB81, bitIndex1))),
% 7.40/5.36 inference(tautology,[status(thm)],[])).
% 7.40/5.36 tff(9824,plain,
% 7.40/5.36 (v88(constB81, bitIndex1)),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[9823, 9822, 9804])).
% 7.40/5.36 tff(9825,plain,
% 7.40/5.36 ((~((~v88(constB81, bitIndex1)) | v88(constB81, bitIndex2) | (~v88(constB81, bitIndex0)))) | (~v88(constB81, bitIndex1)) | v88(constB81, bitIndex2) | (~v88(constB81, bitIndex0))),
% 7.40/5.36 inference(tautology,[status(thm)],[])).
% 7.40/5.36 tff(9826,plain,
% 7.40/5.36 (~((~v88(constB81, bitIndex1)) | v88(constB81, bitIndex2) | (~v88(constB81, bitIndex0)))),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[9825, 9824, 9802, 9780])).
% 7.40/5.36 tff(9827,plain,
% 7.40/5.36 ((~(v141(constB81) <=> (~((~v88(constB81, bitIndex1)) | v88(constB81, bitIndex2) | (~v88(constB81, bitIndex0)))))) | v141(constB81) | ((~v88(constB81, bitIndex1)) | v88(constB81, bitIndex2) | (~v88(constB81, bitIndex0)))),
% 7.40/5.36 inference(tautology,[status(thm)],[])).
% 7.40/5.36 tff(9828,plain,
% 7.40/5.36 (v141(constB81)),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[9827, 9826, 415])).
% 7.40/5.36 tff(9829,plain,
% 7.40/5.36 ((v141(constB81) | v169(constB81)) | (~v141(constB81))),
% 7.40/5.36 inference(tautology,[status(thm)],[])).
% 7.40/5.36 tff(9830,plain,
% 7.40/5.36 (v141(constB81) | v169(constB81)),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[9829, 9828])).
% 7.40/5.36 tff(9831,plain,
% 7.40/5.36 ((~(v168(constB81) <=> (v141(constB81) | v169(constB81)))) | v168(constB81) | (~(v141(constB81) | v169(constB81)))),
% 7.40/5.36 inference(tautology,[status(thm)],[])).
% 7.40/5.36 tff(9832,plain,
% 7.40/5.36 (v168(constB81)),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[9831, 9830, 395])).
% 7.40/5.36 tff(9833,plain,
% 7.40/5.36 ((v142(constB81) | v168(constB81)) | (~v168(constB81))),
% 7.40/5.36 inference(tautology,[status(thm)],[])).
% 7.40/5.36 tff(9834,plain,
% 7.40/5.36 (v142(constB81) | v168(constB81)),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[9833, 9832])).
% 7.40/5.36 tff(9835,plain,
% 7.40/5.36 ((~(v167(constB81) <=> (v142(constB81) | v168(constB81)))) | v167(constB81) | (~(v142(constB81) | v168(constB81)))),
% 7.40/5.36 inference(tautology,[status(thm)],[])).
% 7.40/5.36 tff(9836,plain,
% 7.40/5.36 ((~(v167(constB81) <=> (v142(constB81) | v168(constB81)))) | v167(constB81)),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[9835, 9834])).
% 7.40/5.36 tff(9837,plain,
% 7.40/5.36 (v167(constB81)),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[9836, 383])).
% 7.40/5.36 tff(9838,plain,
% 7.40/5.36 ((v145(constB81) | v167(constB81)) | (~v167(constB81))),
% 7.40/5.36 inference(tautology,[status(thm)],[])).
% 7.40/5.36 tff(9839,plain,
% 7.40/5.36 (v145(constB81) | v167(constB81)),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[9838, 9837])).
% 7.40/5.36 tff(9840,plain,
% 7.40/5.36 ((~(v166(constB81) <=> (v145(constB81) | v167(constB81)))) | v166(constB81) | (~(v145(constB81) | v167(constB81)))),
% 7.40/5.36 inference(tautology,[status(thm)],[])).
% 7.40/5.36 tff(9841,plain,
% 7.40/5.36 (v166(constB81)),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[9840, 9839, 371])).
% 7.40/5.36 tff(9842,plain,
% 7.40/5.36 (^[VarNext: $i] : refl(((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext))) <=> ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext))))),
% 7.40/5.36 inference(bind,[status(th)],[])).
% 7.40/5.36 tff(9843,plain,
% 7.40/5.36 (![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext))) <=> ![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))),
% 7.40/5.36 inference(quant_intro,[status(thm)],[9842])).
% 7.40/5.36 tff(9844,plain,
% 7.40/5.36 (![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext))) <=> ![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))),
% 7.40/5.36 inference(rewrite,[status(thm)],[])).
% 7.40/5.36 tff(9845,plain,
% 7.40/5.36 (^[VarNext: $i] : rewrite((v166(VarNext) => (v163(VarNext) <=> v170(VarNext))) <=> ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext))))),
% 7.40/5.36 inference(bind,[status(th)],[])).
% 7.40/5.36 tff(9846,plain,
% 7.40/5.36 (![VarNext: $i] : (v166(VarNext) => (v163(VarNext) <=> v170(VarNext))) <=> ![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))),
% 7.40/5.36 inference(quant_intro,[status(thm)],[9845])).
% 7.40/5.36 tff(9847,axiom,(![VarNext: $i] : (v166(VarNext) => (v163(VarNext) <=> v170(VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch_5')).
% 7.40/5.36 tff(9848,plain,
% 7.40/5.36 (![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))),
% 7.40/5.36 inference(modus_ponens,[status(thm)],[9847, 9846])).
% 7.40/5.36 tff(9849,plain,
% 7.40/5.36 (![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))),
% 7.40/5.36 inference(modus_ponens,[status(thm)],[9848, 9844])).
% 7.40/5.36 tff(9850,plain,(
% 7.40/5.36 ![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))),
% 7.40/5.36 inference(skolemize,[status(sab)],[9849])).
% 7.40/5.36 tff(9851,plain,
% 7.40/5.36 (![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))),
% 7.40/5.36 inference(modus_ponens,[status(thm)],[9850, 9843])).
% 7.40/5.36 tff(9852,plain,
% 7.40/5.36 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB81)) | (v163(constB81) <=> v170(constB81)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB81)) | (v163(constB81) <=> v170(constB81)))),
% 7.40/5.36 inference(rewrite,[status(thm)],[])).
% 7.40/5.36 tff(9853,plain,
% 7.40/5.36 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB81)) | (v163(constB81) <=> v170(constB81)))),
% 7.40/5.36 inference(quant_inst,[status(thm)],[])).
% 7.40/5.36 tff(9854,plain,
% 7.40/5.36 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB81)) | (v163(constB81) <=> v170(constB81))),
% 7.40/5.36 inference(modus_ponens,[status(thm)],[9853, 9852])).
% 7.40/5.36 tff(9855,plain,
% 7.40/5.36 ((~v166(constB81)) | (v163(constB81) <=> v170(constB81))),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[9854, 9851])).
% 7.40/5.36 tff(9856,plain,
% 7.40/5.36 (v163(constB81) <=> v170(constB81)),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[9855, 9841])).
% 7.40/5.36 tff(9857,plain,
% 7.40/5.36 (^[VarCurr: $i] : refl((v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr))) <=> (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr))))),
% 7.40/5.36 inference(bind,[status(th)],[])).
% 7.40/5.36 tff(9858,plain,
% 7.40/5.36 (![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr))) <=> ![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))),
% 7.40/5.36 inference(quant_intro,[status(thm)],[9857])).
% 7.40/5.36 tff(9859,plain,
% 7.40/5.36 (![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr))) <=> ![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))),
% 7.40/5.36 inference(rewrite,[status(thm)],[])).
% 7.40/5.36 tff(9860,plain,
% 7.40/5.36 (^[VarCurr: $i] : rewrite((v171(VarCurr) <=> (v150(VarCurr) | v142(VarCurr))) <=> (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr))))),
% 7.40/5.36 inference(bind,[status(th)],[])).
% 7.40/5.36 tff(9861,plain,
% 7.40/5.36 (![VarCurr: $i] : (v171(VarCurr) <=> (v150(VarCurr) | v142(VarCurr))) <=> ![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))),
% 7.40/5.36 inference(quant_intro,[status(thm)],[9860])).
% 7.40/5.36 tff(9862,axiom,(![VarCurr: $i] : (v171(VarCurr) <=> (v150(VarCurr) | v142(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_41')).
% 7.40/5.36 tff(9863,plain,
% 7.40/5.36 (![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))),
% 7.40/5.36 inference(modus_ponens,[status(thm)],[9862, 9861])).
% 7.40/5.36 tff(9864,plain,
% 7.40/5.36 (![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))),
% 7.40/5.36 inference(modus_ponens,[status(thm)],[9863, 9859])).
% 7.40/5.36 tff(9865,plain,(
% 7.40/5.36 ![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))),
% 7.40/5.36 inference(skolemize,[status(sab)],[9864])).
% 7.40/5.36 tff(9866,plain,
% 7.40/5.36 (![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))),
% 7.40/5.36 inference(modus_ponens,[status(thm)],[9865, 9858])).
% 7.40/5.36 tff(9867,plain,
% 7.40/5.36 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB81) <=> (v142(constB81) | v150(constB81)))),
% 7.40/5.36 inference(quant_inst,[status(thm)],[])).
% 7.40/5.36 tff(9868,plain,
% 7.40/5.36 (v171(constB81) <=> (v142(constB81) | v150(constB81))),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[9867, 9866])).
% 7.40/5.36 tff(9869,plain,
% 7.40/5.36 (^[VarCurr: $i] : refl((v150(VarCurr) <=> (v141(VarCurr) | v151(VarCurr))) <=> (v150(VarCurr) <=> (v141(VarCurr) | v151(VarCurr))))),
% 7.40/5.36 inference(bind,[status(th)],[])).
% 7.40/5.36 tff(9870,plain,
% 7.40/5.36 (![VarCurr: $i] : (v150(VarCurr) <=> (v141(VarCurr) | v151(VarCurr))) <=> ![VarCurr: $i] : (v150(VarCurr) <=> (v141(VarCurr) | v151(VarCurr)))),
% 7.40/5.36 inference(quant_intro,[status(thm)],[9869])).
% 7.40/5.36 tff(9871,plain,
% 7.40/5.36 (![VarCurr: $i] : (v150(VarCurr) <=> (v141(VarCurr) | v151(VarCurr))) <=> ![VarCurr: $i] : (v150(VarCurr) <=> (v141(VarCurr) | v151(VarCurr)))),
% 7.40/5.36 inference(rewrite,[status(thm)],[])).
% 7.40/5.36 tff(9872,plain,
% 7.40/5.36 (^[VarCurr: $i] : rewrite((v150(VarCurr) <=> (v151(VarCurr) | v141(VarCurr))) <=> (v150(VarCurr) <=> (v141(VarCurr) | v151(VarCurr))))),
% 7.40/5.36 inference(bind,[status(th)],[])).
% 7.40/5.36 tff(9873,plain,
% 7.40/5.36 (![VarCurr: $i] : (v150(VarCurr) <=> (v151(VarCurr) | v141(VarCurr))) <=> ![VarCurr: $i] : (v150(VarCurr) <=> (v141(VarCurr) | v151(VarCurr)))),
% 7.40/5.36 inference(quant_intro,[status(thm)],[9872])).
% 7.40/5.36 tff(9874,axiom,(![VarCurr: $i] : (v150(VarCurr) <=> (v151(VarCurr) | v141(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_40')).
% 7.40/5.36 tff(9875,plain,
% 7.40/5.36 (![VarCurr: $i] : (v150(VarCurr) <=> (v141(VarCurr) | v151(VarCurr)))),
% 7.40/5.36 inference(modus_ponens,[status(thm)],[9874, 9873])).
% 7.40/5.36 tff(9876,plain,
% 7.40/5.36 (![VarCurr: $i] : (v150(VarCurr) <=> (v141(VarCurr) | v151(VarCurr)))),
% 7.40/5.36 inference(modus_ponens,[status(thm)],[9875, 9871])).
% 7.40/5.36 tff(9877,plain,(
% 7.40/5.36 ![VarCurr: $i] : (v150(VarCurr) <=> (v141(VarCurr) | v151(VarCurr)))),
% 7.40/5.36 inference(skolemize,[status(sab)],[9876])).
% 7.40/5.36 tff(9878,plain,
% 7.40/5.36 (![VarCurr: $i] : (v150(VarCurr) <=> (v141(VarCurr) | v151(VarCurr)))),
% 7.40/5.36 inference(modus_ponens,[status(thm)],[9877, 9870])).
% 7.40/5.36 tff(9879,plain,
% 7.40/5.36 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v141(VarCurr) | v151(VarCurr)))) | (v150(constB81) <=> (v141(constB81) | v151(constB81)))),
% 7.40/5.36 inference(quant_inst,[status(thm)],[])).
% 7.40/5.36 tff(9880,plain,
% 7.40/5.36 (v150(constB81) <=> (v141(constB81) | v151(constB81))),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[9879, 9878])).
% 7.40/5.36 tff(9881,plain,
% 7.40/5.36 ((v141(constB81) | v151(constB81)) | (~v141(constB81))),
% 7.40/5.36 inference(tautology,[status(thm)],[])).
% 7.40/5.36 tff(9882,plain,
% 7.40/5.36 (v141(constB81) | v151(constB81)),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[9881, 9828])).
% 7.40/5.36 tff(9883,plain,
% 7.40/5.36 ((~(v150(constB81) <=> (v141(constB81) | v151(constB81)))) | v150(constB81) | (~(v141(constB81) | v151(constB81)))),
% 7.40/5.36 inference(tautology,[status(thm)],[])).
% 7.40/5.36 tff(9884,plain,
% 7.40/5.36 (v150(constB81)),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[9883, 9882, 9880])).
% 7.40/5.36 tff(9885,plain,
% 7.40/5.36 ((v142(constB81) | v150(constB81)) | (~v150(constB81))),
% 7.40/5.36 inference(tautology,[status(thm)],[])).
% 7.40/5.36 tff(9886,plain,
% 7.40/5.36 (v142(constB81) | v150(constB81)),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[9885, 9884])).
% 7.40/5.36 tff(9887,plain,
% 7.40/5.36 ((~(v171(constB81) <=> (v142(constB81) | v150(constB81)))) | v171(constB81) | (~(v142(constB81) | v150(constB81)))),
% 7.40/5.36 inference(tautology,[status(thm)],[])).
% 7.40/5.36 tff(9888,plain,
% 7.40/5.36 ((~(v171(constB81) <=> (v142(constB81) | v150(constB81)))) | v171(constB81)),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[9887, 9886])).
% 7.40/5.36 tff(9889,plain,
% 7.40/5.36 (v171(constB81)),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[9888, 9868])).
% 7.40/5.36 tff(9890,plain,
% 7.40/5.36 (^[VarCurr: $i] : refl(((~v171(VarCurr)) | (~v170(VarCurr))) <=> ((~v171(VarCurr)) | (~v170(VarCurr))))),
% 7.40/5.36 inference(bind,[status(th)],[])).
% 7.40/5.36 tff(9891,plain,
% 7.40/5.36 (![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr))) <=> ![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))),
% 7.40/5.36 inference(quant_intro,[status(thm)],[9890])).
% 7.40/5.36 tff(9892,plain,
% 7.40/5.36 (![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr))) <=> ![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))),
% 7.40/5.36 inference(rewrite,[status(thm)],[])).
% 7.40/5.36 tff(9893,plain,
% 7.40/5.36 (^[VarCurr: $i] : trans(monotonicity(rewrite((v170(VarCurr) <=> $false) <=> (~v170(VarCurr))), ((v171(VarCurr) => (v170(VarCurr) <=> $false)) <=> (v171(VarCurr) => (~v170(VarCurr))))), rewrite((v171(VarCurr) => (~v170(VarCurr))) <=> ((~v171(VarCurr)) | (~v170(VarCurr)))), ((v171(VarCurr) => (v170(VarCurr) <=> $false)) <=> ((~v171(VarCurr)) | (~v170(VarCurr)))))),
% 7.40/5.36 inference(bind,[status(th)],[])).
% 7.40/5.36 tff(9894,plain,
% 7.40/5.36 (![VarCurr: $i] : (v171(VarCurr) => (v170(VarCurr) <=> $false)) <=> ![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))),
% 7.40/5.36 inference(quant_intro,[status(thm)],[9893])).
% 7.40/5.36 tff(9895,axiom,(![VarCurr: $i] : (v171(VarCurr) => (v170(VarCurr) <=> $false))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_3')).
% 7.40/5.36 tff(9896,plain,
% 7.40/5.36 (![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))),
% 7.40/5.36 inference(modus_ponens,[status(thm)],[9895, 9894])).
% 7.40/5.36 tff(9897,plain,
% 7.40/5.36 (![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))),
% 7.40/5.36 inference(modus_ponens,[status(thm)],[9896, 9892])).
% 7.40/5.36 tff(9898,plain,(
% 7.40/5.36 ![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))),
% 7.40/5.36 inference(skolemize,[status(sab)],[9897])).
% 7.40/5.36 tff(9899,plain,
% 7.40/5.36 (![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))),
% 7.40/5.36 inference(modus_ponens,[status(thm)],[9898, 9891])).
% 7.40/5.36 tff(9900,plain,
% 7.40/5.36 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB81)) | (~v171(constB81)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB81)) | (~v171(constB81)))),
% 7.40/5.36 inference(rewrite,[status(thm)],[])).
% 7.40/5.36 tff(9901,plain,
% 7.40/5.36 (((~v171(constB81)) | (~v170(constB81))) <=> ((~v170(constB81)) | (~v171(constB81)))),
% 7.40/5.36 inference(rewrite,[status(thm)],[])).
% 7.40/5.36 tff(9902,plain,
% 7.40/5.36 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB81)) | (~v170(constB81)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB81)) | (~v171(constB81))))),
% 7.40/5.36 inference(monotonicity,[status(thm)],[9901])).
% 7.40/5.36 tff(9903,plain,
% 7.40/5.36 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB81)) | (~v170(constB81)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB81)) | (~v171(constB81)))),
% 7.40/5.36 inference(transitivity,[status(thm)],[9902, 9900])).
% 7.40/5.36 tff(9904,plain,
% 7.40/5.36 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB81)) | (~v170(constB81)))),
% 7.40/5.36 inference(quant_inst,[status(thm)],[])).
% 7.40/5.36 tff(9905,plain,
% 7.40/5.36 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB81)) | (~v171(constB81))),
% 7.40/5.36 inference(modus_ponens,[status(thm)],[9904, 9903])).
% 7.40/5.36 tff(9906,plain,
% 7.40/5.36 (~v170(constB81)),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[9905, 9899, 9889])).
% 7.40/5.36 tff(9907,plain,
% 7.40/5.36 ((~(v163(constB81) <=> v170(constB81))) | (~v163(constB81)) | v170(constB81)),
% 7.40/5.36 inference(tautology,[status(thm)],[])).
% 7.40/5.36 tff(9908,plain,
% 7.40/5.36 (~v163(constB81)),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[9907, 9906, 9856])).
% 7.40/5.36 tff(9909,plain,
% 7.40/5.36 ((~(v161(constB81) <=> v163(constB81))) | (~v161(constB81)) | v163(constB81)),
% 7.40/5.36 inference(tautology,[status(thm)],[])).
% 7.40/5.36 tff(9910,plain,
% 7.40/5.36 (~v161(constB81)),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[9909, 9908, 359])).
% 7.40/5.36 tff(9911,plain,
% 7.40/5.36 (((~v159(constB81)) | (~v161(constB81))) | v161(constB81)),
% 7.40/5.36 inference(tautology,[status(thm)],[])).
% 7.40/5.36 tff(9912,plain,
% 7.40/5.36 ((~v159(constB81)) | (~v161(constB81))),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[9911, 9910])).
% 7.40/5.36 tff(9913,plain,
% 7.40/5.36 ((~(v201(constB81) <=> (~((~v159(constB81)) | (~v161(constB81)))))) | (~v201(constB81)) | (~((~v159(constB81)) | (~v161(constB81))))),
% 7.40/5.36 inference(tautology,[status(thm)],[])).
% 7.40/5.36 tff(9914,plain,
% 7.40/5.36 (~v201(constB81)),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[9913, 9912, 350])).
% 7.40/5.36 tff(9915,plain,
% 7.40/5.36 (((~v197(constB81)) | (~v201(constB81))) | v201(constB81)),
% 7.40/5.36 inference(tautology,[status(thm)],[])).
% 7.40/5.36 tff(9916,plain,
% 7.40/5.36 ((~v197(constB81)) | (~v201(constB81))),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[9915, 9914])).
% 7.40/5.36 tff(9917,plain,
% 7.40/5.36 ((~(v200(constB81) <=> (~((~v197(constB81)) | (~v201(constB81)))))) | (~v200(constB81)) | (~((~v197(constB81)) | (~v201(constB81))))),
% 7.40/5.36 inference(tautology,[status(thm)],[])).
% 7.40/5.36 tff(9918,plain,
% 7.40/5.36 (~v200(constB81)),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[9917, 9916, 338])).
% 7.40/5.36 tff(9919,plain,
% 7.40/5.36 (((~v199(constB81)) | (~v200(constB81))) | v200(constB81)),
% 7.40/5.36 inference(tautology,[status(thm)],[])).
% 7.40/5.36 tff(9920,plain,
% 7.40/5.36 ((~v199(constB81)) | (~v200(constB81))),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[9919, 9918])).
% 7.40/5.36 tff(9921,plain,
% 7.40/5.36 ((~(v198(constB81) <=> (~((~v199(constB81)) | (~v200(constB81)))))) | (~v198(constB81)) | (~((~v199(constB81)) | (~v200(constB81))))),
% 7.40/5.36 inference(tautology,[status(thm)],[])).
% 7.40/5.36 tff(9922,plain,
% 7.40/5.36 (~v198(constB81)),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[9921, 9920, 336])).
% 7.40/5.36 tff(9923,plain,
% 7.40/5.36 ((~(v194(constB81) | v198(constB81))) | v194(constB81) | v198(constB81)),
% 7.40/5.36 inference(tautology,[status(thm)],[])).
% 7.40/5.36 tff(9924,plain,
% 7.40/5.36 (~(v194(constB81) | v198(constB81))),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[9923, 9922, 334])).
% 7.40/5.36 tff(9925,plain,
% 7.40/5.36 ((~(v191(constB81) <=> (v194(constB81) | v198(constB81)))) | (~v191(constB81)) | (v194(constB81) | v198(constB81))),
% 7.40/5.36 inference(tautology,[status(thm)],[])).
% 7.40/5.36 tff(9926,plain,
% 7.40/5.36 (~v191(constB81)),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[9925, 9924, 179])).
% 7.40/5.36 tff(9927,plain,
% 7.40/5.36 ((~(v193(constB82) <=> v191(constB81))) | (~v193(constB82)) | v191(constB81)),
% 7.40/5.36 inference(tautology,[status(thm)],[])).
% 7.40/5.36 tff(9928,plain,
% 7.40/5.36 (~v193(constB82)),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[9927, 9926, 177])).
% 7.40/5.36 tff(9929,plain,
% 7.40/5.36 ((~(v157(constB82) <=> v193(constB82))) | (~v157(constB82)) | v193(constB82)),
% 7.40/5.36 inference(tautology,[status(thm)],[])).
% 7.40/5.36 tff(9930,plain,
% 7.40/5.36 (~v157(constB82)),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[9929, 9928, 170])).
% 7.40/5.36 tff(9931,plain,
% 7.40/5.36 (((~v157(constB82)) | (~v195(constB82))) | v157(constB82)),
% 7.40/5.36 inference(tautology,[status(thm)],[])).
% 7.40/5.36 tff(9932,plain,
% 7.40/5.36 ((~v157(constB82)) | (~v195(constB82))),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[9931, 9930])).
% 7.40/5.36 tff(9933,plain,
% 7.40/5.36 ((~(v194(constB82) <=> (~((~v157(constB82)) | (~v195(constB82)))))) | (~v194(constB82)) | (~((~v157(constB82)) | (~v195(constB82))))),
% 7.40/5.36 inference(tautology,[status(thm)],[])).
% 7.40/5.36 tff(9934,plain,
% 7.40/5.36 (~v194(constB82)),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[9933, 9932, 168])).
% 7.40/5.36 tff(9935,plain,
% 7.40/5.36 ((~(v194(constB82) | v198(constB82))) | v194(constB82) | v198(constB82)),
% 7.40/5.36 inference(tautology,[status(thm)],[])).
% 7.40/5.36 tff(9936,plain,
% 7.40/5.36 (~(v194(constB82) | v198(constB82))),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[9935, 9934, 151])).
% 7.40/5.36 tff(9937,plain,
% 7.40/5.36 ((~(v191(constB82) <=> (v194(constB82) | v198(constB82)))) | (~v191(constB82)) | (v194(constB82) | v198(constB82))),
% 7.40/5.36 inference(tautology,[status(thm)],[])).
% 7.40/5.36 tff(9938,plain,
% 7.40/5.36 (~v191(constB82)),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[9937, 9936, 86])).
% 7.40/5.36 tff(9939,plain,
% 7.40/5.36 ((~(v193(constB83) <=> v191(constB82))) | (~v193(constB83)) | v191(constB82)),
% 7.40/5.36 inference(tautology,[status(thm)],[])).
% 7.40/5.36 tff(9940,plain,
% 7.40/5.36 (~v193(constB83)),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[9939, 9938, 77])).
% 7.40/5.36 tff(9941,plain,
% 7.40/5.36 ($false),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[9940, 60])).
% 7.40/5.36 tff(9942,plain,(~(constB83 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.40/5.36 tff(9943,assumption,(constB13 = VarCurr!0), introduced(assumption)).
% 7.40/5.36 tff(9944,plain,
% 7.40/5.36 (v193(constB13) <=> v193(VarCurr!0)),
% 7.40/5.36 inference(monotonicity,[status(thm)],[9943])).
% 7.40/5.36 tff(9945,plain,
% 7.40/5.36 (v193(VarCurr!0) <=> v193(constB13)),
% 7.40/5.36 inference(symmetry,[status(thm)],[9944])).
% 7.40/5.36 tff(9946,plain,
% 7.40/5.36 (v193(constB13)),
% 7.40/5.36 inference(modus_ponens,[status(thm)],[59, 9945])).
% 7.40/5.36 tff(9947,plain,
% 7.40/5.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB12, constB13)) | (v193(constB13) <=> v191(constB12)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB12, constB13)) | (v193(constB13) <=> v191(constB12)))),
% 7.40/5.36 inference(rewrite,[status(thm)],[])).
% 7.40/5.36 tff(9948,plain,
% 7.40/5.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB12, constB13)) | (v193(constB13) <=> v191(constB12)))),
% 7.40/5.36 inference(quant_inst,[status(thm)],[])).
% 7.40/5.36 tff(9949,plain,
% 7.40/5.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB12, constB13)) | (v193(constB13) <=> v191(constB12))),
% 7.40/5.36 inference(modus_ponens,[status(thm)],[9948, 9947])).
% 7.40/5.36 tff(9950,plain,
% 7.40/5.36 (v193(constB13) <=> v191(constB12)),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[9949, 2756, 70])).
% 7.40/5.36 tff(9951,plain,
% 7.40/5.36 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB12) <=> (v194(constB12) | v198(constB12)))),
% 7.40/5.36 inference(quant_inst,[status(thm)],[])).
% 7.40/5.36 tff(9952,plain,
% 7.40/5.36 (v191(constB12) <=> (v194(constB12) | v198(constB12))),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[9951, 84])).
% 7.40/5.36 tff(9953,plain,
% 7.40/5.36 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB12) <=> (~((~v199(constB12)) | (~v200(constB12)))))),
% 7.40/5.36 inference(quant_inst,[status(thm)],[])).
% 7.40/5.36 tff(9954,plain,
% 7.40/5.36 (v198(constB12) <=> (~((~v199(constB12)) | (~v200(constB12))))),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[9953, 96])).
% 7.40/5.36 tff(9955,plain,
% 7.40/5.36 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB12) <=> (~((~v197(constB12)) | (~v201(constB12)))))),
% 7.40/5.36 inference(quant_inst,[status(thm)],[])).
% 7.40/5.36 tff(9956,plain,
% 7.40/5.36 (v200(constB12) <=> (~((~v197(constB12)) | (~v201(constB12))))),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[9955, 108])).
% 7.40/5.36 tff(9957,plain,
% 7.40/5.36 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB12) <=> (~((~v39(constB12)) | (~v9(constB12)))))),
% 7.40/5.36 inference(quant_inst,[status(thm)],[])).
% 7.40/5.36 tff(9958,plain,
% 7.40/5.36 (v197(constB12) <=> (~((~v39(constB12)) | (~v9(constB12))))),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[9957, 120])).
% 7.40/5.36 tff(9959,plain,
% 7.40/5.36 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB12)) <=> v1(constB12))),
% 7.40/5.36 inference(quant_inst,[status(thm)],[])).
% 7.40/5.36 tff(9960,plain,
% 7.40/5.36 ((~v39(constB12)) <=> v1(constB12)),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[9959, 129])).
% 7.40/5.36 tff(9961,plain,
% 7.40/5.36 ((~((~v39(constB12)) <=> v1(constB12))) | (~v39(constB12)) | (~v1(constB12))),
% 7.40/5.36 inference(tautology,[status(thm)],[])).
% 7.40/5.36 tff(9962,plain,
% 7.40/5.36 ((~((~v39(constB12)) <=> v1(constB12))) | (~v39(constB12))),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[9961, 4264])).
% 7.40/5.36 tff(9963,plain,
% 7.40/5.36 (~v39(constB12)),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[9962, 9960])).
% 7.40/5.36 tff(9964,plain,
% 7.40/5.36 (((~v39(constB12)) | (~v9(constB12))) | v39(constB12)),
% 7.40/5.36 inference(tautology,[status(thm)],[])).
% 7.40/5.36 tff(9965,plain,
% 7.40/5.36 ((~v39(constB12)) | (~v9(constB12))),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[9964, 9963])).
% 7.40/5.36 tff(9966,plain,
% 7.40/5.36 ((~(v197(constB12) <=> (~((~v39(constB12)) | (~v9(constB12)))))) | (~v197(constB12)) | (~((~v39(constB12)) | (~v9(constB12))))),
% 7.40/5.36 inference(tautology,[status(thm)],[])).
% 7.40/5.36 tff(9967,plain,
% 7.40/5.36 ((~(v197(constB12) <=> (~((~v39(constB12)) | (~v9(constB12)))))) | (~v197(constB12))),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[9966, 9965])).
% 7.40/5.36 tff(9968,plain,
% 7.40/5.36 (~v197(constB12)),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[9967, 9958])).
% 7.40/5.36 tff(9969,plain,
% 7.40/5.36 (((~v197(constB12)) | (~v201(constB12))) | v197(constB12)),
% 7.40/5.36 inference(tautology,[status(thm)],[])).
% 7.40/5.36 tff(9970,plain,
% 7.40/5.36 ((~v197(constB12)) | (~v201(constB12))),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[9969, 9968])).
% 7.40/5.36 tff(9971,plain,
% 7.40/5.36 ((~(v200(constB12) <=> (~((~v197(constB12)) | (~v201(constB12)))))) | (~v200(constB12)) | (~((~v197(constB12)) | (~v201(constB12))))),
% 7.40/5.36 inference(tautology,[status(thm)],[])).
% 7.40/5.36 tff(9972,plain,
% 7.40/5.36 ((~(v200(constB12) <=> (~((~v197(constB12)) | (~v201(constB12)))))) | (~v200(constB12))),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[9971, 9970])).
% 7.40/5.36 tff(9973,plain,
% 7.40/5.36 (~v200(constB12)),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[9972, 9956])).
% 7.40/5.36 tff(9974,plain,
% 7.40/5.36 (((~v199(constB12)) | (~v200(constB12))) | v200(constB12)),
% 7.40/5.36 inference(tautology,[status(thm)],[])).
% 7.40/5.36 tff(9975,plain,
% 7.40/5.36 ((~v199(constB12)) | (~v200(constB12))),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[9974, 9973])).
% 7.40/5.36 tff(9976,plain,
% 7.40/5.36 ((~(v198(constB12) <=> (~((~v199(constB12)) | (~v200(constB12)))))) | (~v198(constB12)) | (~((~v199(constB12)) | (~v200(constB12))))),
% 7.40/5.36 inference(tautology,[status(thm)],[])).
% 7.40/5.36 tff(9977,plain,
% 7.40/5.36 (~v198(constB12)),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[9976, 9975, 9954])).
% 7.40/5.36 tff(9978,plain,
% 7.40/5.36 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB12) <=> (~((~v157(constB12)) | (~v195(constB12)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB12) <=> (~((~v157(constB12)) | (~v195(constB12))))))),
% 7.40/5.36 inference(rewrite,[status(thm)],[])).
% 7.40/5.36 tff(9979,plain,
% 7.40/5.36 ((v194(constB12) <=> (~((~v195(constB12)) | (~v157(constB12))))) <=> (v194(constB12) <=> (~((~v157(constB12)) | (~v195(constB12)))))),
% 7.40/5.36 inference(rewrite,[status(thm)],[])).
% 7.40/5.36 tff(9980,plain,
% 7.40/5.36 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB12) <=> (~((~v195(constB12)) | (~v157(constB12)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB12) <=> (~((~v157(constB12)) | (~v195(constB12))))))),
% 7.40/5.36 inference(monotonicity,[status(thm)],[9979])).
% 7.40/5.36 tff(9981,plain,
% 7.40/5.36 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB12) <=> (~((~v195(constB12)) | (~v157(constB12)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB12) <=> (~((~v157(constB12)) | (~v195(constB12))))))),
% 7.40/5.36 inference(transitivity,[status(thm)],[9980, 9978])).
% 7.40/5.36 tff(9982,plain,
% 7.40/5.36 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB12) <=> (~((~v195(constB12)) | (~v157(constB12)))))),
% 7.40/5.36 inference(quant_inst,[status(thm)],[])).
% 7.40/5.36 tff(9983,plain,
% 7.40/5.36 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB12) <=> (~((~v157(constB12)) | (~v195(constB12)))))),
% 7.40/5.36 inference(modus_ponens,[status(thm)],[9982, 9981])).
% 7.40/5.36 tff(9984,plain,
% 7.40/5.36 (v194(constB12) <=> (~((~v157(constB12)) | (~v195(constB12))))),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[9983, 161])).
% 7.40/5.36 tff(9985,plain,
% 7.40/5.36 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB12) <=> v193(constB12))),
% 7.40/5.36 inference(quant_inst,[status(thm)],[])).
% 7.40/5.36 tff(9986,plain,
% 7.40/5.36 (v157(constB12) <=> v193(constB12)),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[9985, 13])).
% 7.40/5.36 tff(9987,plain,
% 7.40/5.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB11, constB12)) | (v193(constB12) <=> v191(constB11)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB11, constB12)) | (v193(constB12) <=> v191(constB11)))),
% 7.40/5.36 inference(rewrite,[status(thm)],[])).
% 7.40/5.36 tff(9988,plain,
% 7.40/5.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB11, constB12)) | (v193(constB12) <=> v191(constB11)))),
% 7.40/5.36 inference(quant_inst,[status(thm)],[])).
% 7.40/5.36 tff(9989,plain,
% 7.40/5.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB11, constB12)) | (v193(constB12) <=> v191(constB11))),
% 7.40/5.36 inference(modus_ponens,[status(thm)],[9988, 9987])).
% 7.40/5.36 tff(9990,plain,
% 7.40/5.36 (v193(constB12) <=> v191(constB11)),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[9989, 2792, 70])).
% 7.40/5.36 tff(9991,plain,
% 7.40/5.36 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB11) <=> (v194(constB11) | v198(constB11)))),
% 7.40/5.36 inference(quant_inst,[status(thm)],[])).
% 7.40/5.36 tff(9992,plain,
% 7.40/5.36 (v191(constB11) <=> (v194(constB11) | v198(constB11))),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[9991, 84])).
% 7.40/5.36 tff(9993,plain,
% 7.40/5.36 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB11) <=> (~((~v157(constB11)) | (~v195(constB11)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB11) <=> (~((~v157(constB11)) | (~v195(constB11))))))),
% 7.40/5.36 inference(rewrite,[status(thm)],[])).
% 7.40/5.36 tff(9994,plain,
% 7.40/5.36 ((v194(constB11) <=> (~((~v195(constB11)) | (~v157(constB11))))) <=> (v194(constB11) <=> (~((~v157(constB11)) | (~v195(constB11)))))),
% 7.40/5.36 inference(rewrite,[status(thm)],[])).
% 7.40/5.36 tff(9995,plain,
% 7.40/5.36 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB11) <=> (~((~v195(constB11)) | (~v157(constB11)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB11) <=> (~((~v157(constB11)) | (~v195(constB11))))))),
% 7.40/5.36 inference(monotonicity,[status(thm)],[9994])).
% 7.40/5.36 tff(9996,plain,
% 7.40/5.36 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB11) <=> (~((~v195(constB11)) | (~v157(constB11)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB11) <=> (~((~v157(constB11)) | (~v195(constB11))))))),
% 7.40/5.36 inference(transitivity,[status(thm)],[9995, 9993])).
% 7.40/5.36 tff(9997,plain,
% 7.40/5.36 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB11) <=> (~((~v195(constB11)) | (~v157(constB11)))))),
% 7.40/5.36 inference(quant_inst,[status(thm)],[])).
% 7.40/5.36 tff(9998,plain,
% 7.40/5.36 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB11) <=> (~((~v157(constB11)) | (~v195(constB11)))))),
% 7.40/5.36 inference(modus_ponens,[status(thm)],[9997, 9996])).
% 7.40/5.36 tff(9999,plain,
% 7.40/5.36 (v194(constB11) <=> (~((~v157(constB11)) | (~v195(constB11))))),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[9998, 161])).
% 7.40/5.36 tff(10000,plain,
% 7.40/5.36 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB11)) <=> v196(constB11))),
% 7.40/5.36 inference(quant_inst,[status(thm)],[])).
% 7.40/5.36 tff(10001,plain,
% 7.40/5.36 ((~v195(constB11)) <=> v196(constB11)),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[10000, 193])).
% 7.40/5.36 tff(10002,plain,
% 7.40/5.36 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB11) <=> (v197(constB11) | v26(constB11)))),
% 7.40/5.36 inference(quant_inst,[status(thm)],[])).
% 7.40/5.36 tff(10003,plain,
% 7.40/5.36 (v196(constB11) <=> (v197(constB11) | v26(constB11))),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[10002, 202])).
% 7.40/5.36 tff(10004,plain,
% 7.40/5.36 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB11) <=> (~((~v39(constB11)) | (~v9(constB11)))))),
% 7.40/5.36 inference(quant_inst,[status(thm)],[])).
% 7.40/5.36 tff(10005,plain,
% 7.40/5.36 (v197(constB11) <=> (~((~v39(constB11)) | (~v9(constB11))))),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[10004, 120])).
% 7.40/5.36 tff(10006,plain,
% 7.40/5.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB11, constB12)) | (v13(constB12) <=> v9(constB11)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB11, constB12)) | (v13(constB12) <=> v9(constB11)))),
% 7.40/5.36 inference(rewrite,[status(thm)],[])).
% 7.40/5.36 tff(10007,plain,
% 7.40/5.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB11, constB12)) | (v13(constB12) <=> v9(constB11)))),
% 7.40/5.36 inference(quant_inst,[status(thm)],[])).
% 7.40/5.36 tff(10008,plain,
% 7.40/5.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB11, constB12)) | (v13(constB12) <=> v9(constB11))),
% 7.40/5.36 inference(modus_ponens,[status(thm)],[10007, 10006])).
% 7.40/5.36 tff(10009,plain,
% 7.40/5.36 (v13(constB12) <=> v9(constB11)),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[10008, 2792, 216])).
% 7.40/5.36 tff(10010,plain,
% 7.40/5.36 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB12) <=> v13(constB12))),
% 7.40/5.36 inference(quant_inst,[status(thm)],[])).
% 7.40/5.36 tff(10011,plain,
% 7.40/5.36 (v6(constB12) <=> v13(constB12)),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[10010, 230])).
% 7.40/5.36 tff(10012,plain,
% 7.40/5.36 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB12)) <=> v6(constB12))),
% 7.40/5.36 inference(quant_inst,[status(thm)],[])).
% 7.40/5.36 tff(10013,plain,
% 7.40/5.36 ((~v21(constB12)) <=> v6(constB12)),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[10012, 239])).
% 7.40/5.36 tff(10014,plain,
% 7.40/5.36 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB12) <=> (v20(constB12) | v21(constB12)))),
% 7.40/5.36 inference(quant_inst,[status(thm)],[])).
% 7.40/5.36 tff(10015,plain,
% 7.40/5.36 (v19(constB12) <=> (v20(constB12) | v21(constB12))),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[10014, 248])).
% 7.40/5.36 tff(10016,plain,
% 7.40/5.36 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB12) <=> (~((~v19(constB12)) | (~v22(constB12)))))),
% 7.40/5.36 inference(quant_inst,[status(thm)],[])).
% 7.40/5.36 tff(10017,plain,
% 7.40/5.36 (v18(constB12) <=> (~((~v19(constB12)) | (~v22(constB12))))),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[10016, 260])).
% 7.40/5.36 tff(10018,plain,
% 7.40/5.36 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB12)) <=> v18(constB12))),
% 7.40/5.36 inference(quant_inst,[status(thm)],[])).
% 7.40/5.36 tff(10019,plain,
% 7.40/5.36 ((~v4(constB12)) <=> v18(constB12)),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[10018, 269])).
% 7.40/5.36 tff(10020,plain,
% 7.40/5.36 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB12)),
% 7.40/5.36 inference(quant_inst,[status(thm)],[])).
% 7.40/5.36 tff(10021,plain,
% 7.40/5.36 (v4(constB12)),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[10020, 278])).
% 7.40/5.36 tff(10022,plain,
% 7.40/5.36 ((~((~v4(constB12)) <=> v18(constB12))) | (~v4(constB12)) | (~v18(constB12))),
% 7.40/5.36 inference(tautology,[status(thm)],[])).
% 7.40/5.36 tff(10023,plain,
% 7.40/5.36 (~v18(constB12)),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[10022, 10021, 10019])).
% 7.40/5.36 tff(10024,plain,
% 7.40/5.36 ((~(v18(constB12) <=> (~((~v19(constB12)) | (~v22(constB12)))))) | v18(constB12) | ((~v19(constB12)) | (~v22(constB12)))),
% 7.40/5.36 inference(tautology,[status(thm)],[])).
% 7.40/5.36 tff(10025,plain,
% 7.40/5.36 ((~v19(constB12)) | (~v22(constB12))),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[10024, 10023, 10017])).
% 7.40/5.36 tff(10026,plain,
% 7.40/5.36 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB12) <=> (v1(constB12) | v6(constB12)))),
% 7.40/5.36 inference(quant_inst,[status(thm)],[])).
% 7.40/5.36 tff(10027,plain,
% 7.40/5.36 (v22(constB12) <=> (v1(constB12) | v6(constB12))),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[10026, 291])).
% 7.40/5.36 tff(10028,plain,
% 7.40/5.36 ((v1(constB12) | v6(constB12)) | (~v1(constB12))),
% 7.40/5.36 inference(tautology,[status(thm)],[])).
% 7.40/5.36 tff(10029,plain,
% 7.40/5.36 (v1(constB12) | v6(constB12)),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[10028, 4264])).
% 7.40/5.36 tff(10030,plain,
% 7.40/5.36 ((~(v22(constB12) <=> (v1(constB12) | v6(constB12)))) | v22(constB12) | (~(v1(constB12) | v6(constB12)))),
% 7.40/5.36 inference(tautology,[status(thm)],[])).
% 7.40/5.36 tff(10031,plain,
% 7.40/5.36 ((~(v22(constB12) <=> (v1(constB12) | v6(constB12)))) | v22(constB12)),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[10030, 10029])).
% 7.40/5.36 tff(10032,plain,
% 7.40/5.36 (v22(constB12)),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[10031, 10027])).
% 7.40/5.36 tff(10033,plain,
% 7.40/5.36 ((~((~v19(constB12)) | (~v22(constB12)))) | (~v19(constB12)) | (~v22(constB12))),
% 7.40/5.36 inference(tautology,[status(thm)],[])).
% 7.40/5.36 tff(10034,plain,
% 7.40/5.36 ((~((~v19(constB12)) | (~v22(constB12)))) | (~v19(constB12))),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[10033, 10032])).
% 7.40/5.36 tff(10035,plain,
% 7.40/5.36 (~v19(constB12)),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[10034, 10025])).
% 7.40/5.36 tff(10036,plain,
% 7.40/5.36 ((~(v19(constB12) <=> (v20(constB12) | v21(constB12)))) | v19(constB12) | (~(v20(constB12) | v21(constB12)))),
% 7.40/5.36 inference(tautology,[status(thm)],[])).
% 7.40/5.36 tff(10037,plain,
% 7.40/5.36 (~(v20(constB12) | v21(constB12))),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[10036, 10035, 10015])).
% 7.40/5.36 tff(10038,plain,
% 7.40/5.36 ((v20(constB12) | v21(constB12)) | (~v21(constB12))),
% 7.40/5.36 inference(tautology,[status(thm)],[])).
% 7.40/5.36 tff(10039,plain,
% 7.40/5.36 (~v21(constB12)),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[10038, 10037])).
% 7.40/5.36 tff(10040,plain,
% 7.40/5.36 ((~((~v21(constB12)) <=> v6(constB12))) | v21(constB12) | v6(constB12)),
% 7.40/5.36 inference(tautology,[status(thm)],[])).
% 7.40/5.36 tff(10041,plain,
% 7.40/5.36 (v6(constB12)),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[10040, 10039, 10013])).
% 7.40/5.36 tff(10042,plain,
% 7.40/5.36 ((~(v6(constB12) <=> v13(constB12))) | (~v6(constB12)) | v13(constB12)),
% 7.40/5.36 inference(tautology,[status(thm)],[])).
% 7.40/5.36 tff(10043,plain,
% 7.40/5.36 (v13(constB12)),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[10042, 10041, 10011])).
% 7.40/5.36 tff(10044,plain,
% 7.40/5.36 ((~(v13(constB12) <=> v9(constB11))) | (~v13(constB12)) | v9(constB11)),
% 7.40/5.36 inference(tautology,[status(thm)],[])).
% 7.40/5.36 tff(10045,plain,
% 7.40/5.36 (v9(constB11)),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[10044, 10043, 10009])).
% 7.40/5.36 tff(10046,plain,
% 7.40/5.36 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB11)) <=> v1(constB11))),
% 7.40/5.36 inference(quant_inst,[status(thm)],[])).
% 7.40/5.36 tff(10047,plain,
% 7.40/5.36 ((~v39(constB11)) <=> v1(constB11)),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[10046, 129])).
% 7.40/5.36 tff(10048,plain,
% 7.40/5.36 ((~((~v39(constB11)) <=> v1(constB11))) | v39(constB11) | v1(constB11)),
% 7.40/5.36 inference(tautology,[status(thm)],[])).
% 7.40/5.36 tff(10049,plain,
% 7.40/5.36 ((~((~v39(constB11)) <=> v1(constB11))) | v39(constB11)),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[10048, 2836])).
% 7.40/5.36 tff(10050,plain,
% 7.40/5.36 (v39(constB11)),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[10049, 10047])).
% 7.40/5.36 tff(10051,plain,
% 7.40/5.36 ((~((~v39(constB11)) | (~v9(constB11)))) | (~v39(constB11)) | (~v9(constB11))),
% 7.40/5.36 inference(tautology,[status(thm)],[])).
% 7.40/5.36 tff(10052,plain,
% 7.40/5.36 ((~((~v39(constB11)) | (~v9(constB11)))) | (~v9(constB11))),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[10051, 10050])).
% 7.40/5.36 tff(10053,plain,
% 7.40/5.36 (~((~v39(constB11)) | (~v9(constB11)))),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[10052, 10045])).
% 7.40/5.36 tff(10054,plain,
% 7.40/5.36 ((~(v197(constB11) <=> (~((~v39(constB11)) | (~v9(constB11)))))) | v197(constB11) | ((~v39(constB11)) | (~v9(constB11)))),
% 7.40/5.36 inference(tautology,[status(thm)],[])).
% 7.40/5.36 tff(10055,plain,
% 7.40/5.36 (v197(constB11)),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[10054, 10053, 10005])).
% 7.40/5.36 tff(10056,plain,
% 7.40/5.36 ((v197(constB11) | v26(constB11)) | (~v197(constB11))),
% 7.40/5.36 inference(tautology,[status(thm)],[])).
% 7.40/5.36 tff(10057,plain,
% 7.40/5.36 (v197(constB11) | v26(constB11)),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[10056, 10055])).
% 7.40/5.36 tff(10058,plain,
% 7.40/5.36 ((~(v196(constB11) <=> (v197(constB11) | v26(constB11)))) | v196(constB11) | (~(v197(constB11) | v26(constB11)))),
% 7.40/5.36 inference(tautology,[status(thm)],[])).
% 7.40/5.36 tff(10059,plain,
% 7.40/5.36 (v196(constB11)),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[10058, 10057, 10003])).
% 7.40/5.36 tff(10060,plain,
% 7.40/5.36 ((~((~v195(constB11)) <=> v196(constB11))) | (~v195(constB11)) | (~v196(constB11))),
% 7.40/5.36 inference(tautology,[status(thm)],[])).
% 7.40/5.36 tff(10061,plain,
% 7.40/5.36 (~v195(constB11)),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[10060, 10059, 10001])).
% 7.40/5.36 tff(10062,plain,
% 7.40/5.36 (((~v157(constB11)) | (~v195(constB11))) | v195(constB11)),
% 7.40/5.36 inference(tautology,[status(thm)],[])).
% 7.40/5.36 tff(10063,plain,
% 7.40/5.36 ((~v157(constB11)) | (~v195(constB11))),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[10062, 10061])).
% 7.40/5.36 tff(10064,plain,
% 7.40/5.36 ((~(v194(constB11) <=> (~((~v157(constB11)) | (~v195(constB11)))))) | (~v194(constB11)) | (~((~v157(constB11)) | (~v195(constB11))))),
% 7.40/5.36 inference(tautology,[status(thm)],[])).
% 7.40/5.36 tff(10065,plain,
% 7.40/5.36 (~v194(constB11)),
% 7.40/5.36 inference(unit_resolution,[status(thm)],[10064, 10063, 9999])).
% 7.40/5.36 tff(10066,plain,
% 7.40/5.36 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB11) <=> (~((~v199(constB11)) | (~v200(constB11)))))),
% 7.40/5.36 inference(quant_inst,[status(thm)],[])).
% 7.40/5.37 tff(10067,plain,
% 7.40/5.37 (v198(constB11) <=> (~((~v199(constB11)) | (~v200(constB11))))),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10066, 96])).
% 7.40/5.37 tff(10068,plain,
% 7.40/5.37 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB11) <=> (~((~v197(constB11)) | (~v201(constB11)))))),
% 7.40/5.37 inference(quant_inst,[status(thm)],[])).
% 7.40/5.37 tff(10069,plain,
% 7.40/5.37 (v200(constB11) <=> (~((~v197(constB11)) | (~v201(constB11))))),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10068, 108])).
% 7.40/5.37 tff(10070,plain,
% 7.40/5.37 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB11) <=> (~((~v159(constB11)) | (~v161(constB11)))))),
% 7.40/5.37 inference(quant_inst,[status(thm)],[])).
% 7.40/5.37 tff(10071,plain,
% 7.40/5.37 (v201(constB11) <=> (~((~v159(constB11)) | (~v161(constB11))))),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10070, 348])).
% 7.40/5.37 tff(10072,plain,
% 7.40/5.37 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB11) <=> v163(constB11))),
% 7.40/5.37 inference(quant_inst,[status(thm)],[])).
% 7.40/5.37 tff(10073,plain,
% 7.40/5.37 (v161(constB11) <=> v163(constB11)),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10072, 357])).
% 7.40/5.37 tff(10074,plain,
% 7.40/5.37 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB11) <=> (v145(constB11) | v167(constB11)))),
% 7.40/5.37 inference(quant_inst,[status(thm)],[])).
% 7.40/5.37 tff(10075,plain,
% 7.40/5.37 (v166(constB11) <=> (v145(constB11) | v167(constB11))),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10074, 369])).
% 7.40/5.37 tff(10076,plain,
% 7.40/5.37 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB11) <=> (v142(constB11) | v168(constB11)))),
% 7.40/5.37 inference(quant_inst,[status(thm)],[])).
% 7.40/5.37 tff(10077,plain,
% 7.40/5.37 (v167(constB11) <=> (v142(constB11) | v168(constB11))),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10076, 381])).
% 7.40/5.37 tff(10078,plain,
% 7.40/5.37 ((~![VarCurr: $i] : (v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr)))) | (v168(constB11) <=> (v141(constB11) | v169(constB11)))),
% 7.40/5.37 inference(quant_inst,[status(thm)],[])).
% 7.40/5.37 tff(10079,plain,
% 7.40/5.37 (v168(constB11) <=> (v141(constB11) | v169(constB11))),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10078, 393])).
% 7.40/5.37 tff(10080,plain,
% 7.40/5.37 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB11) <=> (~((~v88(constB11, bitIndex1)) | v88(constB11, bitIndex2) | (~v88(constB11, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB11) <=> (~((~v88(constB11, bitIndex1)) | v88(constB11, bitIndex2) | (~v88(constB11, bitIndex0))))))),
% 7.40/5.37 inference(rewrite,[status(thm)],[])).
% 7.40/5.37 tff(10081,plain,
% 7.40/5.37 ((v141(constB11) <=> (~(v88(constB11, bitIndex2) | (~v88(constB11, bitIndex1)) | (~v88(constB11, bitIndex0))))) <=> (v141(constB11) <=> (~((~v88(constB11, bitIndex1)) | v88(constB11, bitIndex2) | (~v88(constB11, bitIndex0)))))),
% 7.40/5.37 inference(rewrite,[status(thm)],[])).
% 7.40/5.37 tff(10082,plain,
% 7.40/5.37 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB11) <=> (~(v88(constB11, bitIndex2) | (~v88(constB11, bitIndex1)) | (~v88(constB11, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB11) <=> (~((~v88(constB11, bitIndex1)) | v88(constB11, bitIndex2) | (~v88(constB11, bitIndex0))))))),
% 7.40/5.37 inference(monotonicity,[status(thm)],[10081])).
% 7.40/5.37 tff(10083,plain,
% 7.40/5.37 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB11) <=> (~(v88(constB11, bitIndex2) | (~v88(constB11, bitIndex1)) | (~v88(constB11, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB11) <=> (~((~v88(constB11, bitIndex1)) | v88(constB11, bitIndex2) | (~v88(constB11, bitIndex0))))))),
% 7.40/5.37 inference(transitivity,[status(thm)],[10082, 10080])).
% 7.40/5.37 tff(10084,plain,
% 7.40/5.37 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB11) <=> (~(v88(constB11, bitIndex2) | (~v88(constB11, bitIndex1)) | (~v88(constB11, bitIndex0)))))),
% 7.40/5.37 inference(quant_inst,[status(thm)],[])).
% 7.40/5.37 tff(10085,plain,
% 7.40/5.37 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB11) <=> (~((~v88(constB11, bitIndex1)) | v88(constB11, bitIndex2) | (~v88(constB11, bitIndex0)))))),
% 7.40/5.37 inference(modus_ponens,[status(thm)],[10084, 10083])).
% 7.40/5.37 tff(10086,plain,
% 7.40/5.37 (v141(constB11) <=> (~((~v88(constB11, bitIndex1)) | v88(constB11, bitIndex2) | (~v88(constB11, bitIndex0))))),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10085, 408])).
% 7.40/5.37 tff(10087,plain,
% 7.40/5.37 ((~![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))) | (~(((~v88(constB11, bitIndex1)) <=> v90(constB11, bitIndex1)) | ((~v88(constB11, bitIndex2)) <=> v90(constB11, bitIndex2)) | ((~v88(constB11, bitIndex0)) <=> v90(constB11, bitIndex0))))),
% 7.40/5.37 inference(quant_inst,[status(thm)],[])).
% 7.40/5.37 tff(10088,plain,
% 7.40/5.37 (~(((~v88(constB11, bitIndex1)) <=> v90(constB11, bitIndex1)) | ((~v88(constB11, bitIndex2)) <=> v90(constB11, bitIndex2)) | ((~v88(constB11, bitIndex0)) <=> v90(constB11, bitIndex0)))),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10087, 428])).
% 7.40/5.37 tff(10089,plain,
% 7.40/5.37 ((((~v88(constB11, bitIndex1)) <=> v90(constB11, bitIndex1)) | ((~v88(constB11, bitIndex2)) <=> v90(constB11, bitIndex2)) | ((~v88(constB11, bitIndex0)) <=> v90(constB11, bitIndex0))) | (~((~v88(constB11, bitIndex2)) <=> v90(constB11, bitIndex2)))),
% 7.40/5.37 inference(tautology,[status(thm)],[])).
% 7.40/5.37 tff(10090,plain,
% 7.40/5.37 (~((~v88(constB11, bitIndex2)) <=> v90(constB11, bitIndex2))),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10089, 10088])).
% 7.40/5.37 tff(10091,plain,
% 7.40/5.37 (((~v88(constB11, bitIndex2)) <=> v90(constB11, bitIndex2)) | (~v88(constB11, bitIndex2)) | v90(constB11, bitIndex2)),
% 7.40/5.37 inference(tautology,[status(thm)],[])).
% 7.40/5.37 tff(10092,plain,
% 7.40/5.37 (~v88(constB11, bitIndex2)),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10091, 4170, 10090])).
% 7.40/5.37 tff(10093,plain,
% 7.40/5.37 ((((~v88(constB11, bitIndex1)) <=> v90(constB11, bitIndex1)) | ((~v88(constB11, bitIndex2)) <=> v90(constB11, bitIndex2)) | ((~v88(constB11, bitIndex0)) <=> v90(constB11, bitIndex0))) | (~((~v88(constB11, bitIndex0)) <=> v90(constB11, bitIndex0)))),
% 7.40/5.37 inference(tautology,[status(thm)],[])).
% 7.40/5.37 tff(10094,plain,
% 7.40/5.37 (~((~v88(constB11, bitIndex0)) <=> v90(constB11, bitIndex0))),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10093, 10088])).
% 7.40/5.37 tff(10095,plain,
% 7.40/5.37 (((~v88(constB11, bitIndex0)) <=> v90(constB11, bitIndex0)) | v88(constB11, bitIndex0) | (~v90(constB11, bitIndex0))),
% 7.40/5.37 inference(tautology,[status(thm)],[])).
% 7.40/5.37 tff(10096,plain,
% 7.40/5.37 (v88(constB11, bitIndex0)),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10095, 4188, 10094])).
% 7.40/5.37 tff(10097,plain,
% 7.40/5.37 ((((~v88(constB11, bitIndex1)) <=> v90(constB11, bitIndex1)) | ((~v88(constB11, bitIndex2)) <=> v90(constB11, bitIndex2)) | ((~v88(constB11, bitIndex0)) <=> v90(constB11, bitIndex0))) | (~((~v88(constB11, bitIndex1)) <=> v90(constB11, bitIndex1)))),
% 7.40/5.37 inference(tautology,[status(thm)],[])).
% 7.40/5.37 tff(10098,plain,
% 7.40/5.37 (~((~v88(constB11, bitIndex1)) <=> v90(constB11, bitIndex1))),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10097, 10088])).
% 7.40/5.37 tff(10099,plain,
% 7.40/5.37 (((~v88(constB11, bitIndex1)) <=> v90(constB11, bitIndex1)) | v88(constB11, bitIndex1) | (~v90(constB11, bitIndex1))),
% 7.40/5.37 inference(tautology,[status(thm)],[])).
% 7.40/5.37 tff(10100,plain,
% 7.40/5.37 (v88(constB11, bitIndex1)),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10099, 4206, 10098])).
% 7.40/5.37 tff(10101,plain,
% 7.40/5.37 ((~((~v88(constB11, bitIndex1)) | v88(constB11, bitIndex2) | (~v88(constB11, bitIndex0)))) | (~v88(constB11, bitIndex1)) | v88(constB11, bitIndex2) | (~v88(constB11, bitIndex0))),
% 7.40/5.37 inference(tautology,[status(thm)],[])).
% 7.40/5.37 tff(10102,plain,
% 7.40/5.37 (~((~v88(constB11, bitIndex1)) | v88(constB11, bitIndex2) | (~v88(constB11, bitIndex0)))),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10101, 10100, 10096, 10092])).
% 7.40/5.37 tff(10103,plain,
% 7.40/5.37 ((~(v141(constB11) <=> (~((~v88(constB11, bitIndex1)) | v88(constB11, bitIndex2) | (~v88(constB11, bitIndex0)))))) | v141(constB11) | ((~v88(constB11, bitIndex1)) | v88(constB11, bitIndex2) | (~v88(constB11, bitIndex0)))),
% 7.40/5.37 inference(tautology,[status(thm)],[])).
% 7.40/5.37 tff(10104,plain,
% 7.40/5.37 (v141(constB11)),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10103, 10102, 10086])).
% 7.40/5.37 tff(10105,plain,
% 7.40/5.37 ((v141(constB11) | v169(constB11)) | (~v141(constB11))),
% 7.40/5.37 inference(tautology,[status(thm)],[])).
% 7.40/5.37 tff(10106,plain,
% 7.40/5.37 (v141(constB11) | v169(constB11)),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10105, 10104])).
% 7.40/5.37 tff(10107,plain,
% 7.40/5.37 ((~(v168(constB11) <=> (v141(constB11) | v169(constB11)))) | v168(constB11) | (~(v141(constB11) | v169(constB11)))),
% 7.40/5.37 inference(tautology,[status(thm)],[])).
% 7.40/5.37 tff(10108,plain,
% 7.40/5.37 (v168(constB11)),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10107, 10106, 10079])).
% 7.40/5.37 tff(10109,plain,
% 7.40/5.37 ((v142(constB11) | v168(constB11)) | (~v168(constB11))),
% 7.40/5.37 inference(tautology,[status(thm)],[])).
% 7.40/5.37 tff(10110,plain,
% 7.40/5.37 (v142(constB11) | v168(constB11)),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10109, 10108])).
% 7.40/5.37 tff(10111,plain,
% 7.40/5.37 ((~(v167(constB11) <=> (v142(constB11) | v168(constB11)))) | v167(constB11) | (~(v142(constB11) | v168(constB11)))),
% 7.40/5.37 inference(tautology,[status(thm)],[])).
% 7.40/5.37 tff(10112,plain,
% 7.40/5.37 ((~(v167(constB11) <=> (v142(constB11) | v168(constB11)))) | v167(constB11)),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10111, 10110])).
% 7.40/5.37 tff(10113,plain,
% 7.40/5.37 (v167(constB11)),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10112, 10077])).
% 7.40/5.37 tff(10114,plain,
% 7.40/5.37 ((v145(constB11) | v167(constB11)) | (~v167(constB11))),
% 7.40/5.37 inference(tautology,[status(thm)],[])).
% 7.40/5.37 tff(10115,plain,
% 7.40/5.37 (v145(constB11) | v167(constB11)),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10114, 10113])).
% 7.40/5.37 tff(10116,plain,
% 7.40/5.37 ((~(v166(constB11) <=> (v145(constB11) | v167(constB11)))) | v166(constB11) | (~(v145(constB11) | v167(constB11)))),
% 7.40/5.37 inference(tautology,[status(thm)],[])).
% 7.40/5.37 tff(10117,plain,
% 7.40/5.37 (v166(constB11)),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10116, 10115, 10075])).
% 7.40/5.37 tff(10118,plain,
% 7.40/5.37 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB11)) | (v163(constB11) <=> v170(constB11)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB11)) | (v163(constB11) <=> v170(constB11)))),
% 7.40/5.37 inference(rewrite,[status(thm)],[])).
% 7.40/5.37 tff(10119,plain,
% 7.40/5.37 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB11)) | (v163(constB11) <=> v170(constB11)))),
% 7.40/5.37 inference(quant_inst,[status(thm)],[])).
% 7.40/5.37 tff(10120,plain,
% 7.40/5.37 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB11)) | (v163(constB11) <=> v170(constB11))),
% 7.40/5.37 inference(modus_ponens,[status(thm)],[10119, 10118])).
% 7.40/5.37 tff(10121,plain,
% 7.40/5.37 ((~v166(constB11)) | (v163(constB11) <=> v170(constB11))),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10120, 9851])).
% 7.40/5.37 tff(10122,plain,
% 7.40/5.37 (v163(constB11) <=> v170(constB11)),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10121, 10117])).
% 7.40/5.37 tff(10123,plain,
% 7.40/5.37 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB11) <=> (v142(constB11) | v150(constB11)))),
% 7.40/5.37 inference(quant_inst,[status(thm)],[])).
% 7.40/5.37 tff(10124,plain,
% 7.40/5.37 (v171(constB11) <=> (v142(constB11) | v150(constB11))),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10123, 9866])).
% 7.40/5.37 tff(10125,plain,
% 7.40/5.37 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v141(VarCurr) | v151(VarCurr)))) | (v150(constB11) <=> (v141(constB11) | v151(constB11)))),
% 7.40/5.37 inference(quant_inst,[status(thm)],[])).
% 7.40/5.37 tff(10126,plain,
% 7.40/5.37 (v150(constB11) <=> (v141(constB11) | v151(constB11))),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10125, 9878])).
% 7.40/5.37 tff(10127,plain,
% 7.40/5.37 ((v141(constB11) | v151(constB11)) | (~v141(constB11))),
% 7.40/5.37 inference(tautology,[status(thm)],[])).
% 7.40/5.37 tff(10128,plain,
% 7.40/5.37 (v141(constB11) | v151(constB11)),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10127, 10104])).
% 7.40/5.37 tff(10129,plain,
% 7.40/5.37 ((~(v150(constB11) <=> (v141(constB11) | v151(constB11)))) | v150(constB11) | (~(v141(constB11) | v151(constB11)))),
% 7.40/5.37 inference(tautology,[status(thm)],[])).
% 7.40/5.37 tff(10130,plain,
% 7.40/5.37 (v150(constB11)),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10129, 10128, 10126])).
% 7.40/5.37 tff(10131,plain,
% 7.40/5.37 ((v142(constB11) | v150(constB11)) | (~v150(constB11))),
% 7.40/5.37 inference(tautology,[status(thm)],[])).
% 7.40/5.37 tff(10132,plain,
% 7.40/5.37 (v142(constB11) | v150(constB11)),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10131, 10130])).
% 7.40/5.37 tff(10133,plain,
% 7.40/5.37 ((~(v171(constB11) <=> (v142(constB11) | v150(constB11)))) | v171(constB11) | (~(v142(constB11) | v150(constB11)))),
% 7.40/5.37 inference(tautology,[status(thm)],[])).
% 7.40/5.37 tff(10134,plain,
% 7.40/5.37 ((~(v171(constB11) <=> (v142(constB11) | v150(constB11)))) | v171(constB11)),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10133, 10132])).
% 7.40/5.37 tff(10135,plain,
% 7.40/5.37 (v171(constB11)),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10134, 10124])).
% 7.40/5.37 tff(10136,plain,
% 7.40/5.37 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB11)) | (~v171(constB11)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB11)) | (~v171(constB11)))),
% 7.40/5.37 inference(rewrite,[status(thm)],[])).
% 7.40/5.37 tff(10137,plain,
% 7.40/5.37 (((~v171(constB11)) | (~v170(constB11))) <=> ((~v170(constB11)) | (~v171(constB11)))),
% 7.40/5.37 inference(rewrite,[status(thm)],[])).
% 7.40/5.37 tff(10138,plain,
% 7.40/5.37 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB11)) | (~v170(constB11)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB11)) | (~v171(constB11))))),
% 7.40/5.37 inference(monotonicity,[status(thm)],[10137])).
% 7.40/5.37 tff(10139,plain,
% 7.40/5.37 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB11)) | (~v170(constB11)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB11)) | (~v171(constB11)))),
% 7.40/5.37 inference(transitivity,[status(thm)],[10138, 10136])).
% 7.40/5.37 tff(10140,plain,
% 7.40/5.37 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB11)) | (~v170(constB11)))),
% 7.40/5.37 inference(quant_inst,[status(thm)],[])).
% 7.40/5.37 tff(10141,plain,
% 7.40/5.37 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB11)) | (~v171(constB11))),
% 7.40/5.37 inference(modus_ponens,[status(thm)],[10140, 10139])).
% 7.40/5.37 tff(10142,plain,
% 7.40/5.37 (~v170(constB11)),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10141, 9899, 10135])).
% 7.40/5.37 tff(10143,plain,
% 7.40/5.37 ((~(v163(constB11) <=> v170(constB11))) | (~v163(constB11)) | v170(constB11)),
% 7.40/5.37 inference(tautology,[status(thm)],[])).
% 7.40/5.37 tff(10144,plain,
% 7.40/5.37 (~v163(constB11)),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10143, 10142, 10122])).
% 7.40/5.37 tff(10145,plain,
% 7.40/5.37 ((~(v161(constB11) <=> v163(constB11))) | (~v161(constB11)) | v163(constB11)),
% 7.40/5.37 inference(tautology,[status(thm)],[])).
% 7.40/5.37 tff(10146,plain,
% 7.40/5.37 (~v161(constB11)),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10145, 10144, 10073])).
% 7.40/5.37 tff(10147,plain,
% 7.40/5.37 (((~v159(constB11)) | (~v161(constB11))) | v161(constB11)),
% 7.40/5.37 inference(tautology,[status(thm)],[])).
% 7.40/5.37 tff(10148,plain,
% 7.40/5.37 ((~v159(constB11)) | (~v161(constB11))),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10147, 10146])).
% 7.40/5.37 tff(10149,plain,
% 7.40/5.37 ((~(v201(constB11) <=> (~((~v159(constB11)) | (~v161(constB11)))))) | (~v201(constB11)) | (~((~v159(constB11)) | (~v161(constB11))))),
% 7.40/5.37 inference(tautology,[status(thm)],[])).
% 7.40/5.37 tff(10150,plain,
% 7.40/5.37 (~v201(constB11)),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10149, 10148, 10071])).
% 7.40/5.37 tff(10151,plain,
% 7.40/5.37 (((~v197(constB11)) | (~v201(constB11))) | v201(constB11)),
% 7.40/5.37 inference(tautology,[status(thm)],[])).
% 7.40/5.37 tff(10152,plain,
% 7.40/5.37 ((~v197(constB11)) | (~v201(constB11))),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10151, 10150])).
% 7.40/5.37 tff(10153,plain,
% 7.40/5.37 ((~(v200(constB11) <=> (~((~v197(constB11)) | (~v201(constB11)))))) | (~v200(constB11)) | (~((~v197(constB11)) | (~v201(constB11))))),
% 7.40/5.37 inference(tautology,[status(thm)],[])).
% 7.40/5.37 tff(10154,plain,
% 7.40/5.37 (~v200(constB11)),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10153, 10152, 10069])).
% 7.40/5.37 tff(10155,plain,
% 7.40/5.37 (((~v199(constB11)) | (~v200(constB11))) | v200(constB11)),
% 7.40/5.37 inference(tautology,[status(thm)],[])).
% 7.40/5.37 tff(10156,plain,
% 7.40/5.37 ((~v199(constB11)) | (~v200(constB11))),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10155, 10154])).
% 7.40/5.37 tff(10157,plain,
% 7.40/5.37 ((~(v198(constB11) <=> (~((~v199(constB11)) | (~v200(constB11)))))) | (~v198(constB11)) | (~((~v199(constB11)) | (~v200(constB11))))),
% 7.40/5.37 inference(tautology,[status(thm)],[])).
% 7.40/5.37 tff(10158,plain,
% 7.40/5.37 (~v198(constB11)),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10157, 10156, 10067])).
% 7.40/5.37 tff(10159,plain,
% 7.40/5.37 ((~(v194(constB11) | v198(constB11))) | v194(constB11) | v198(constB11)),
% 7.40/5.37 inference(tautology,[status(thm)],[])).
% 7.40/5.37 tff(10160,plain,
% 7.40/5.37 (~(v194(constB11) | v198(constB11))),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10159, 10158, 10065])).
% 7.40/5.37 tff(10161,plain,
% 7.40/5.37 ((~(v191(constB11) <=> (v194(constB11) | v198(constB11)))) | (~v191(constB11)) | (v194(constB11) | v198(constB11))),
% 7.40/5.37 inference(tautology,[status(thm)],[])).
% 7.40/5.37 tff(10162,plain,
% 7.40/5.37 (~v191(constB11)),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10161, 10160, 9992])).
% 7.40/5.37 tff(10163,plain,
% 7.40/5.37 ((~(v193(constB12) <=> v191(constB11))) | (~v193(constB12)) | v191(constB11)),
% 7.40/5.37 inference(tautology,[status(thm)],[])).
% 7.40/5.37 tff(10164,plain,
% 7.40/5.37 (~v193(constB12)),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10163, 10162, 9990])).
% 7.40/5.37 tff(10165,plain,
% 7.40/5.37 ((~(v157(constB12) <=> v193(constB12))) | (~v157(constB12)) | v193(constB12)),
% 7.40/5.37 inference(tautology,[status(thm)],[])).
% 7.40/5.37 tff(10166,plain,
% 7.40/5.37 (~v157(constB12)),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10165, 10164, 9986])).
% 7.40/5.37 tff(10167,plain,
% 7.40/5.37 (((~v157(constB12)) | (~v195(constB12))) | v157(constB12)),
% 7.40/5.37 inference(tautology,[status(thm)],[])).
% 7.40/5.37 tff(10168,plain,
% 7.40/5.37 ((~v157(constB12)) | (~v195(constB12))),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10167, 10166])).
% 7.40/5.37 tff(10169,plain,
% 7.40/5.37 ((~(v194(constB12) <=> (~((~v157(constB12)) | (~v195(constB12)))))) | (~v194(constB12)) | (~((~v157(constB12)) | (~v195(constB12))))),
% 7.40/5.37 inference(tautology,[status(thm)],[])).
% 7.40/5.37 tff(10170,plain,
% 7.40/5.37 (~v194(constB12)),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10169, 10168, 9984])).
% 7.40/5.37 tff(10171,plain,
% 7.40/5.37 ((~(v194(constB12) | v198(constB12))) | v194(constB12) | v198(constB12)),
% 7.40/5.37 inference(tautology,[status(thm)],[])).
% 7.40/5.37 tff(10172,plain,
% 7.40/5.37 (~(v194(constB12) | v198(constB12))),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10171, 10170, 9977])).
% 7.40/5.37 tff(10173,plain,
% 7.40/5.37 ((~(v191(constB12) <=> (v194(constB12) | v198(constB12)))) | (~v191(constB12)) | (v194(constB12) | v198(constB12))),
% 7.40/5.37 inference(tautology,[status(thm)],[])).
% 7.40/5.37 tff(10174,plain,
% 7.40/5.37 (~v191(constB12)),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10173, 10172, 9952])).
% 7.40/5.37 tff(10175,plain,
% 7.40/5.37 ((~(v193(constB13) <=> v191(constB12))) | (~v193(constB13)) | v191(constB12)),
% 7.40/5.37 inference(tautology,[status(thm)],[])).
% 7.40/5.37 tff(10176,plain,
% 7.40/5.37 (~v193(constB13)),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10175, 10174, 9950])).
% 7.40/5.37 tff(10177,plain,
% 7.40/5.37 ($false),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10176, 9946])).
% 7.40/5.37 tff(10178,plain,(~(constB13 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.40/5.37 tff(10179,assumption,(constB117 = VarCurr!0), introduced(assumption)).
% 7.40/5.37 tff(10180,plain,
% 7.40/5.37 (v193(constB117) <=> v193(VarCurr!0)),
% 7.40/5.37 inference(monotonicity,[status(thm)],[10179])).
% 7.40/5.37 tff(10181,plain,
% 7.40/5.37 (v193(VarCurr!0) <=> v193(constB117)),
% 7.40/5.37 inference(symmetry,[status(thm)],[10180])).
% 7.40/5.37 tff(10182,plain,
% 7.40/5.37 (v193(constB117)),
% 7.40/5.37 inference(modus_ponens,[status(thm)],[59, 10181])).
% 7.40/5.37 tff(10183,plain,
% 7.40/5.37 (nextState(constB116, constB117) <=> nextState(constB116, constB117)),
% 7.40/5.37 inference(rewrite,[status(thm)],[])).
% 7.40/5.37 tff(10184,axiom,(nextState(constB116, constB117)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_116')).
% 7.40/5.37 tff(10185,plain,
% 7.40/5.37 (nextState(constB116, constB117)),
% 7.40/5.37 inference(modus_ponens,[status(thm)],[10184, 10183])).
% 7.40/5.37 tff(10186,plain,
% 7.40/5.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB116, constB117)) | (v193(constB117) <=> v191(constB116)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB116, constB117)) | (v193(constB117) <=> v191(constB116)))),
% 7.40/5.37 inference(rewrite,[status(thm)],[])).
% 7.40/5.37 tff(10187,plain,
% 7.40/5.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB116, constB117)) | (v193(constB117) <=> v191(constB116)))),
% 7.40/5.37 inference(quant_inst,[status(thm)],[])).
% 7.40/5.37 tff(10188,plain,
% 7.40/5.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB116, constB117)) | (v193(constB117) <=> v191(constB116))),
% 7.40/5.37 inference(modus_ponens,[status(thm)],[10187, 10186])).
% 7.40/5.37 tff(10189,plain,
% 7.40/5.37 (v193(constB117) <=> v191(constB116)),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10188, 10185, 70])).
% 7.40/5.37 tff(10190,plain,
% 7.40/5.37 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB116) <=> (v194(constB116) | v198(constB116)))),
% 7.40/5.37 inference(quant_inst,[status(thm)],[])).
% 7.40/5.37 tff(10191,plain,
% 7.40/5.37 (v191(constB116) <=> (v194(constB116) | v198(constB116))),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10190, 84])).
% 7.40/5.37 tff(10192,plain,
% 7.40/5.37 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB116) <=> (~((~v199(constB116)) | (~v200(constB116)))))),
% 7.40/5.37 inference(quant_inst,[status(thm)],[])).
% 7.40/5.37 tff(10193,plain,
% 7.40/5.37 (v198(constB116) <=> (~((~v199(constB116)) | (~v200(constB116))))),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10192, 96])).
% 7.40/5.37 tff(10194,plain,
% 7.40/5.37 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB116) <=> (~((~v197(constB116)) | (~v201(constB116)))))),
% 7.40/5.37 inference(quant_inst,[status(thm)],[])).
% 7.40/5.37 tff(10195,plain,
% 7.40/5.37 (v200(constB116) <=> (~((~v197(constB116)) | (~v201(constB116))))),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10194, 108])).
% 7.40/5.37 tff(10196,plain,
% 7.40/5.37 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB116) <=> (~((~v39(constB116)) | (~v9(constB116)))))),
% 7.40/5.37 inference(quant_inst,[status(thm)],[])).
% 7.40/5.37 tff(10197,plain,
% 7.40/5.37 (v197(constB116) <=> (~((~v39(constB116)) | (~v9(constB116))))),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10196, 120])).
% 7.40/5.37 tff(10198,plain,
% 7.40/5.37 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB116)) <=> v1(constB116))),
% 7.40/5.37 inference(quant_inst,[status(thm)],[])).
% 7.40/5.37 tff(10199,plain,
% 7.40/5.37 ((~v39(constB116)) <=> v1(constB116)),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10198, 129])).
% 7.40/5.37 tff(10200,plain,
% 7.40/5.37 (v1(constB116) <=> v1(constB116)),
% 7.40/5.37 inference(rewrite,[status(thm)],[])).
% 7.40/5.37 tff(10201,axiom,(v1(constB116)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_116')).
% 7.40/5.37 tff(10202,plain,
% 7.40/5.37 (v1(constB116)),
% 7.40/5.37 inference(modus_ponens,[status(thm)],[10201, 10200])).
% 7.40/5.37 tff(10203,plain,
% 7.40/5.37 ((~((~v39(constB116)) <=> v1(constB116))) | (~v39(constB116)) | (~v1(constB116))),
% 7.40/5.37 inference(tautology,[status(thm)],[])).
% 7.40/5.37 tff(10204,plain,
% 7.40/5.37 ((~((~v39(constB116)) <=> v1(constB116))) | (~v39(constB116))),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10203, 10202])).
% 7.40/5.37 tff(10205,plain,
% 7.40/5.37 (~v39(constB116)),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10204, 10199])).
% 7.40/5.37 tff(10206,plain,
% 7.40/5.37 (((~v39(constB116)) | (~v9(constB116))) | v39(constB116)),
% 7.40/5.37 inference(tautology,[status(thm)],[])).
% 7.40/5.37 tff(10207,plain,
% 7.40/5.37 ((~v39(constB116)) | (~v9(constB116))),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10206, 10205])).
% 7.40/5.37 tff(10208,plain,
% 7.40/5.37 ((~(v197(constB116) <=> (~((~v39(constB116)) | (~v9(constB116)))))) | (~v197(constB116)) | (~((~v39(constB116)) | (~v9(constB116))))),
% 7.40/5.37 inference(tautology,[status(thm)],[])).
% 7.40/5.37 tff(10209,plain,
% 7.40/5.37 ((~(v197(constB116) <=> (~((~v39(constB116)) | (~v9(constB116)))))) | (~v197(constB116))),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10208, 10207])).
% 7.40/5.37 tff(10210,plain,
% 7.40/5.37 (~v197(constB116)),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10209, 10197])).
% 7.40/5.37 tff(10211,plain,
% 7.40/5.37 (((~v197(constB116)) | (~v201(constB116))) | v197(constB116)),
% 7.40/5.37 inference(tautology,[status(thm)],[])).
% 7.40/5.37 tff(10212,plain,
% 7.40/5.37 ((~v197(constB116)) | (~v201(constB116))),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10211, 10210])).
% 7.40/5.37 tff(10213,plain,
% 7.40/5.37 ((~(v200(constB116) <=> (~((~v197(constB116)) | (~v201(constB116)))))) | (~v200(constB116)) | (~((~v197(constB116)) | (~v201(constB116))))),
% 7.40/5.37 inference(tautology,[status(thm)],[])).
% 7.40/5.37 tff(10214,plain,
% 7.40/5.37 ((~(v200(constB116) <=> (~((~v197(constB116)) | (~v201(constB116)))))) | (~v200(constB116))),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10213, 10212])).
% 7.40/5.37 tff(10215,plain,
% 7.40/5.37 (~v200(constB116)),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10214, 10195])).
% 7.40/5.37 tff(10216,plain,
% 7.40/5.37 (((~v199(constB116)) | (~v200(constB116))) | v200(constB116)),
% 7.40/5.37 inference(tautology,[status(thm)],[])).
% 7.40/5.37 tff(10217,plain,
% 7.40/5.37 ((~v199(constB116)) | (~v200(constB116))),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10216, 10215])).
% 7.40/5.37 tff(10218,plain,
% 7.40/5.37 ((~(v198(constB116) <=> (~((~v199(constB116)) | (~v200(constB116)))))) | (~v198(constB116)) | (~((~v199(constB116)) | (~v200(constB116))))),
% 7.40/5.37 inference(tautology,[status(thm)],[])).
% 7.40/5.37 tff(10219,plain,
% 7.40/5.37 (~v198(constB116)),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10218, 10217, 10193])).
% 7.40/5.37 tff(10220,plain,
% 7.40/5.37 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB116) <=> (~((~v157(constB116)) | (~v195(constB116)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB116) <=> (~((~v157(constB116)) | (~v195(constB116))))))),
% 7.40/5.37 inference(rewrite,[status(thm)],[])).
% 7.40/5.37 tff(10221,plain,
% 7.40/5.37 ((v194(constB116) <=> (~((~v195(constB116)) | (~v157(constB116))))) <=> (v194(constB116) <=> (~((~v157(constB116)) | (~v195(constB116)))))),
% 7.40/5.37 inference(rewrite,[status(thm)],[])).
% 7.40/5.37 tff(10222,plain,
% 7.40/5.37 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB116) <=> (~((~v195(constB116)) | (~v157(constB116)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB116) <=> (~((~v157(constB116)) | (~v195(constB116))))))),
% 7.40/5.37 inference(monotonicity,[status(thm)],[10221])).
% 7.40/5.37 tff(10223,plain,
% 7.40/5.37 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB116) <=> (~((~v195(constB116)) | (~v157(constB116)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB116) <=> (~((~v157(constB116)) | (~v195(constB116))))))),
% 7.40/5.37 inference(transitivity,[status(thm)],[10222, 10220])).
% 7.40/5.37 tff(10224,plain,
% 7.40/5.37 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB116) <=> (~((~v195(constB116)) | (~v157(constB116)))))),
% 7.40/5.37 inference(quant_inst,[status(thm)],[])).
% 7.40/5.37 tff(10225,plain,
% 7.40/5.37 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB116) <=> (~((~v157(constB116)) | (~v195(constB116)))))),
% 7.40/5.37 inference(modus_ponens,[status(thm)],[10224, 10223])).
% 7.40/5.37 tff(10226,plain,
% 7.40/5.37 (v194(constB116) <=> (~((~v157(constB116)) | (~v195(constB116))))),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10225, 161])).
% 7.40/5.37 tff(10227,plain,
% 7.40/5.37 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB116) <=> v193(constB116))),
% 7.40/5.37 inference(quant_inst,[status(thm)],[])).
% 7.40/5.37 tff(10228,plain,
% 7.40/5.37 (v157(constB116) <=> v193(constB116)),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10227, 13])).
% 7.40/5.37 tff(10229,plain,
% 7.40/5.37 (nextState(constB115, constB116) <=> nextState(constB115, constB116)),
% 7.40/5.37 inference(rewrite,[status(thm)],[])).
% 7.40/5.37 tff(10230,axiom,(nextState(constB115, constB116)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_115')).
% 7.40/5.37 tff(10231,plain,
% 7.40/5.37 (nextState(constB115, constB116)),
% 7.40/5.37 inference(modus_ponens,[status(thm)],[10230, 10229])).
% 7.40/5.37 tff(10232,plain,
% 7.40/5.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB115, constB116)) | (v193(constB116) <=> v191(constB115)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB115, constB116)) | (v193(constB116) <=> v191(constB115)))),
% 7.40/5.37 inference(rewrite,[status(thm)],[])).
% 7.40/5.37 tff(10233,plain,
% 7.40/5.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB115, constB116)) | (v193(constB116) <=> v191(constB115)))),
% 7.40/5.37 inference(quant_inst,[status(thm)],[])).
% 7.40/5.37 tff(10234,plain,
% 7.40/5.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB115, constB116)) | (v193(constB116) <=> v191(constB115))),
% 7.40/5.37 inference(modus_ponens,[status(thm)],[10233, 10232])).
% 7.40/5.37 tff(10235,plain,
% 7.40/5.37 (v193(constB116) <=> v191(constB115)),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10234, 10231, 70])).
% 7.40/5.37 tff(10236,plain,
% 7.40/5.37 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB115) <=> (v194(constB115) | v198(constB115)))),
% 7.40/5.37 inference(quant_inst,[status(thm)],[])).
% 7.40/5.37 tff(10237,plain,
% 7.40/5.37 (v191(constB115) <=> (v194(constB115) | v198(constB115))),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10236, 84])).
% 7.40/5.37 tff(10238,plain,
% 7.40/5.37 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB115) <=> (~((~v157(constB115)) | (~v195(constB115)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB115) <=> (~((~v157(constB115)) | (~v195(constB115))))))),
% 7.40/5.37 inference(rewrite,[status(thm)],[])).
% 7.40/5.37 tff(10239,plain,
% 7.40/5.37 ((v194(constB115) <=> (~((~v195(constB115)) | (~v157(constB115))))) <=> (v194(constB115) <=> (~((~v157(constB115)) | (~v195(constB115)))))),
% 7.40/5.37 inference(rewrite,[status(thm)],[])).
% 7.40/5.37 tff(10240,plain,
% 7.40/5.37 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB115) <=> (~((~v195(constB115)) | (~v157(constB115)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB115) <=> (~((~v157(constB115)) | (~v195(constB115))))))),
% 7.40/5.37 inference(monotonicity,[status(thm)],[10239])).
% 7.40/5.37 tff(10241,plain,
% 7.40/5.37 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB115) <=> (~((~v195(constB115)) | (~v157(constB115)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB115) <=> (~((~v157(constB115)) | (~v195(constB115))))))),
% 7.40/5.37 inference(transitivity,[status(thm)],[10240, 10238])).
% 7.40/5.37 tff(10242,plain,
% 7.40/5.37 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB115) <=> (~((~v195(constB115)) | (~v157(constB115)))))),
% 7.40/5.37 inference(quant_inst,[status(thm)],[])).
% 7.40/5.37 tff(10243,plain,
% 7.40/5.37 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB115) <=> (~((~v157(constB115)) | (~v195(constB115)))))),
% 7.40/5.37 inference(modus_ponens,[status(thm)],[10242, 10241])).
% 7.40/5.37 tff(10244,plain,
% 7.40/5.37 (v194(constB115) <=> (~((~v157(constB115)) | (~v195(constB115))))),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10243, 161])).
% 7.40/5.37 tff(10245,plain,
% 7.40/5.37 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB115)) <=> v196(constB115))),
% 7.40/5.37 inference(quant_inst,[status(thm)],[])).
% 7.40/5.37 tff(10246,plain,
% 7.40/5.37 ((~v195(constB115)) <=> v196(constB115)),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10245, 193])).
% 7.40/5.37 tff(10247,plain,
% 7.40/5.37 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB115) <=> (v197(constB115) | v26(constB115)))),
% 7.40/5.37 inference(quant_inst,[status(thm)],[])).
% 7.40/5.37 tff(10248,plain,
% 7.40/5.37 (v196(constB115) <=> (v197(constB115) | v26(constB115))),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10247, 202])).
% 7.40/5.37 tff(10249,plain,
% 7.40/5.37 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB115) <=> (~((~v39(constB115)) | (~v9(constB115)))))),
% 7.40/5.37 inference(quant_inst,[status(thm)],[])).
% 7.40/5.37 tff(10250,plain,
% 7.40/5.37 (v197(constB115) <=> (~((~v39(constB115)) | (~v9(constB115))))),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10249, 120])).
% 7.40/5.37 tff(10251,plain,
% 7.40/5.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB115, constB116)) | (v13(constB116) <=> v9(constB115)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB115, constB116)) | (v13(constB116) <=> v9(constB115)))),
% 7.40/5.37 inference(rewrite,[status(thm)],[])).
% 7.40/5.37 tff(10252,plain,
% 7.40/5.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB115, constB116)) | (v13(constB116) <=> v9(constB115)))),
% 7.40/5.37 inference(quant_inst,[status(thm)],[])).
% 7.40/5.37 tff(10253,plain,
% 7.40/5.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB115, constB116)) | (v13(constB116) <=> v9(constB115))),
% 7.40/5.37 inference(modus_ponens,[status(thm)],[10252, 10251])).
% 7.40/5.37 tff(10254,plain,
% 7.40/5.37 (v13(constB116) <=> v9(constB115)),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10253, 10231, 216])).
% 7.40/5.37 tff(10255,plain,
% 7.40/5.37 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB116) <=> v13(constB116))),
% 7.40/5.37 inference(quant_inst,[status(thm)],[])).
% 7.40/5.37 tff(10256,plain,
% 7.40/5.37 (v6(constB116) <=> v13(constB116)),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10255, 230])).
% 7.40/5.37 tff(10257,plain,
% 7.40/5.37 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB116)) <=> v6(constB116))),
% 7.40/5.37 inference(quant_inst,[status(thm)],[])).
% 7.40/5.37 tff(10258,plain,
% 7.40/5.37 ((~v21(constB116)) <=> v6(constB116)),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10257, 239])).
% 7.40/5.37 tff(10259,plain,
% 7.40/5.37 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB116) <=> (v20(constB116) | v21(constB116)))),
% 7.40/5.37 inference(quant_inst,[status(thm)],[])).
% 7.40/5.37 tff(10260,plain,
% 7.40/5.37 (v19(constB116) <=> (v20(constB116) | v21(constB116))),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10259, 248])).
% 7.40/5.37 tff(10261,plain,
% 7.40/5.37 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB116) <=> (~((~v19(constB116)) | (~v22(constB116)))))),
% 7.40/5.37 inference(quant_inst,[status(thm)],[])).
% 7.40/5.37 tff(10262,plain,
% 7.40/5.37 (v18(constB116) <=> (~((~v19(constB116)) | (~v22(constB116))))),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10261, 260])).
% 7.40/5.37 tff(10263,plain,
% 7.40/5.37 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB116)) <=> v18(constB116))),
% 7.40/5.37 inference(quant_inst,[status(thm)],[])).
% 7.40/5.37 tff(10264,plain,
% 7.40/5.37 ((~v4(constB116)) <=> v18(constB116)),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10263, 269])).
% 7.40/5.37 tff(10265,plain,
% 7.40/5.37 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB116)),
% 7.40/5.37 inference(quant_inst,[status(thm)],[])).
% 7.40/5.37 tff(10266,plain,
% 7.40/5.37 (v4(constB116)),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10265, 278])).
% 7.40/5.37 tff(10267,plain,
% 7.40/5.37 ((~((~v4(constB116)) <=> v18(constB116))) | (~v4(constB116)) | (~v18(constB116))),
% 7.40/5.37 inference(tautology,[status(thm)],[])).
% 7.40/5.37 tff(10268,plain,
% 7.40/5.37 (~v18(constB116)),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10267, 10266, 10264])).
% 7.40/5.37 tff(10269,plain,
% 7.40/5.37 ((~(v18(constB116) <=> (~((~v19(constB116)) | (~v22(constB116)))))) | v18(constB116) | ((~v19(constB116)) | (~v22(constB116)))),
% 7.40/5.37 inference(tautology,[status(thm)],[])).
% 7.40/5.37 tff(10270,plain,
% 7.40/5.37 ((~v19(constB116)) | (~v22(constB116))),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10269, 10268, 10262])).
% 7.40/5.37 tff(10271,plain,
% 7.40/5.37 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB116) <=> (v1(constB116) | v6(constB116)))),
% 7.40/5.37 inference(quant_inst,[status(thm)],[])).
% 7.40/5.37 tff(10272,plain,
% 7.40/5.37 (v22(constB116) <=> (v1(constB116) | v6(constB116))),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10271, 291])).
% 7.40/5.37 tff(10273,plain,
% 7.40/5.37 ((v1(constB116) | v6(constB116)) | (~v1(constB116))),
% 7.40/5.37 inference(tautology,[status(thm)],[])).
% 7.40/5.37 tff(10274,plain,
% 7.40/5.37 (v1(constB116) | v6(constB116)),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10273, 10202])).
% 7.40/5.37 tff(10275,plain,
% 7.40/5.37 ((~(v22(constB116) <=> (v1(constB116) | v6(constB116)))) | v22(constB116) | (~(v1(constB116) | v6(constB116)))),
% 7.40/5.37 inference(tautology,[status(thm)],[])).
% 7.40/5.37 tff(10276,plain,
% 7.40/5.37 ((~(v22(constB116) <=> (v1(constB116) | v6(constB116)))) | v22(constB116)),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10275, 10274])).
% 7.40/5.37 tff(10277,plain,
% 7.40/5.37 (v22(constB116)),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10276, 10272])).
% 7.40/5.37 tff(10278,plain,
% 7.40/5.37 ((~((~v19(constB116)) | (~v22(constB116)))) | (~v19(constB116)) | (~v22(constB116))),
% 7.40/5.37 inference(tautology,[status(thm)],[])).
% 7.40/5.37 tff(10279,plain,
% 7.40/5.37 ((~((~v19(constB116)) | (~v22(constB116)))) | (~v19(constB116))),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10278, 10277])).
% 7.40/5.37 tff(10280,plain,
% 7.40/5.37 (~v19(constB116)),
% 7.40/5.37 inference(unit_resolution,[status(thm)],[10279, 10270])).
% 7.40/5.37 tff(10281,plain,
% 7.40/5.37 ((~(v19(constB116) <=> (v20(constB116) | v21(constB116)))) | v19(constB116) | (~(v20(constB116) | v21(constB116)))),
% 7.40/5.37 inference(tautology,[status(thm)],[])).
% 7.40/5.38 tff(10282,plain,
% 7.40/5.38 (~(v20(constB116) | v21(constB116))),
% 7.40/5.38 inference(unit_resolution,[status(thm)],[10281, 10280, 10260])).
% 7.40/5.38 tff(10283,plain,
% 7.40/5.38 ((v20(constB116) | v21(constB116)) | (~v21(constB116))),
% 7.40/5.38 inference(tautology,[status(thm)],[])).
% 7.40/5.38 tff(10284,plain,
% 7.40/5.38 (~v21(constB116)),
% 7.40/5.38 inference(unit_resolution,[status(thm)],[10283, 10282])).
% 7.40/5.38 tff(10285,plain,
% 7.40/5.38 ((~((~v21(constB116)) <=> v6(constB116))) | v21(constB116) | v6(constB116)),
% 7.40/5.38 inference(tautology,[status(thm)],[])).
% 7.40/5.38 tff(10286,plain,
% 7.40/5.38 (v6(constB116)),
% 7.40/5.38 inference(unit_resolution,[status(thm)],[10285, 10284, 10258])).
% 7.40/5.38 tff(10287,plain,
% 7.40/5.38 ((~(v6(constB116) <=> v13(constB116))) | (~v6(constB116)) | v13(constB116)),
% 7.40/5.38 inference(tautology,[status(thm)],[])).
% 7.40/5.38 tff(10288,plain,
% 7.40/5.38 (v13(constB116)),
% 7.40/5.38 inference(unit_resolution,[status(thm)],[10287, 10286, 10256])).
% 7.40/5.38 tff(10289,plain,
% 7.40/5.38 ((~(v13(constB116) <=> v9(constB115))) | (~v13(constB116)) | v9(constB115)),
% 7.40/5.38 inference(tautology,[status(thm)],[])).
% 7.40/5.38 tff(10290,plain,
% 7.40/5.38 (v9(constB115)),
% 7.40/5.38 inference(unit_resolution,[status(thm)],[10289, 10288, 10254])).
% 7.40/5.38 tff(10291,plain,
% 7.40/5.38 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB115)) <=> v1(constB115))),
% 7.40/5.38 inference(quant_inst,[status(thm)],[])).
% 7.40/5.38 tff(10292,plain,
% 7.40/5.38 ((~v39(constB115)) <=> v1(constB115)),
% 7.40/5.38 inference(unit_resolution,[status(thm)],[10291, 129])).
% 7.40/5.38 tff(10293,plain,
% 7.40/5.38 ((~v1(constB115)) <=> (~v1(constB115))),
% 7.40/5.38 inference(rewrite,[status(thm)],[])).
% 7.40/5.38 tff(10294,axiom,(~v1(constB115)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_115')).
% 7.40/5.38 tff(10295,plain,
% 7.40/5.38 (~v1(constB115)),
% 7.40/5.38 inference(modus_ponens,[status(thm)],[10294, 10293])).
% 7.40/5.38 tff(10296,plain,
% 7.40/5.38 ((~((~v39(constB115)) <=> v1(constB115))) | v39(constB115) | v1(constB115)),
% 7.40/5.38 inference(tautology,[status(thm)],[])).
% 7.40/5.38 tff(10297,plain,
% 7.40/5.38 ((~((~v39(constB115)) <=> v1(constB115))) | v39(constB115)),
% 7.40/5.38 inference(unit_resolution,[status(thm)],[10296, 10295])).
% 7.40/5.38 tff(10298,plain,
% 7.40/5.38 (v39(constB115)),
% 7.40/5.38 inference(unit_resolution,[status(thm)],[10297, 10292])).
% 7.40/5.38 tff(10299,plain,
% 7.40/5.38 ((~((~v39(constB115)) | (~v9(constB115)))) | (~v39(constB115)) | (~v9(constB115))),
% 7.40/5.38 inference(tautology,[status(thm)],[])).
% 7.40/5.38 tff(10300,plain,
% 7.40/5.38 ((~((~v39(constB115)) | (~v9(constB115)))) | (~v9(constB115))),
% 7.40/5.38 inference(unit_resolution,[status(thm)],[10299, 10298])).
% 7.40/5.38 tff(10301,plain,
% 7.40/5.38 (~((~v39(constB115)) | (~v9(constB115)))),
% 7.40/5.38 inference(unit_resolution,[status(thm)],[10300, 10290])).
% 7.40/5.38 tff(10302,plain,
% 7.40/5.38 ((~(v197(constB115) <=> (~((~v39(constB115)) | (~v9(constB115)))))) | v197(constB115) | ((~v39(constB115)) | (~v9(constB115)))),
% 7.40/5.38 inference(tautology,[status(thm)],[])).
% 7.40/5.38 tff(10303,plain,
% 7.40/5.38 (v197(constB115)),
% 7.40/5.38 inference(unit_resolution,[status(thm)],[10302, 10301, 10250])).
% 7.40/5.38 tff(10304,plain,
% 7.40/5.38 ((v197(constB115) | v26(constB115)) | (~v197(constB115))),
% 7.40/5.38 inference(tautology,[status(thm)],[])).
% 7.40/5.38 tff(10305,plain,
% 7.40/5.38 (v197(constB115) | v26(constB115)),
% 7.40/5.38 inference(unit_resolution,[status(thm)],[10304, 10303])).
% 7.40/5.38 tff(10306,plain,
% 7.40/5.38 ((~(v196(constB115) <=> (v197(constB115) | v26(constB115)))) | v196(constB115) | (~(v197(constB115) | v26(constB115)))),
% 7.40/5.38 inference(tautology,[status(thm)],[])).
% 7.40/5.38 tff(10307,plain,
% 7.40/5.38 (v196(constB115)),
% 7.40/5.38 inference(unit_resolution,[status(thm)],[10306, 10305, 10248])).
% 7.40/5.38 tff(10308,plain,
% 7.40/5.38 ((~((~v195(constB115)) <=> v196(constB115))) | (~v195(constB115)) | (~v196(constB115))),
% 7.40/5.38 inference(tautology,[status(thm)],[])).
% 7.40/5.38 tff(10309,plain,
% 7.40/5.38 (~v195(constB115)),
% 7.40/5.38 inference(unit_resolution,[status(thm)],[10308, 10307, 10246])).
% 7.40/5.38 tff(10310,plain,
% 7.40/5.38 (((~v157(constB115)) | (~v195(constB115))) | v195(constB115)),
% 7.40/5.38 inference(tautology,[status(thm)],[])).
% 7.40/5.38 tff(10311,plain,
% 7.40/5.38 ((~v157(constB115)) | (~v195(constB115))),
% 7.40/5.38 inference(unit_resolution,[status(thm)],[10310, 10309])).
% 7.40/5.38 tff(10312,plain,
% 7.40/5.38 ((~(v194(constB115) <=> (~((~v157(constB115)) | (~v195(constB115)))))) | (~v194(constB115)) | (~((~v157(constB115)) | (~v195(constB115))))),
% 7.40/5.38 inference(tautology,[status(thm)],[])).
% 7.40/5.38 tff(10313,plain,
% 7.40/5.38 (~v194(constB115)),
% 7.40/5.38 inference(unit_resolution,[status(thm)],[10312, 10311, 10244])).
% 7.40/5.38 tff(10314,plain,
% 7.40/5.38 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB115) <=> (~((~v199(constB115)) | (~v200(constB115)))))),
% 7.40/5.38 inference(quant_inst,[status(thm)],[])).
% 7.40/5.38 tff(10315,plain,
% 7.40/5.38 (v198(constB115) <=> (~((~v199(constB115)) | (~v200(constB115))))),
% 7.40/5.38 inference(unit_resolution,[status(thm)],[10314, 96])).
% 7.40/5.38 tff(10316,plain,
% 7.40/5.38 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB115) <=> (~((~v197(constB115)) | (~v201(constB115)))))),
% 7.40/5.38 inference(quant_inst,[status(thm)],[])).
% 7.40/5.38 tff(10317,plain,
% 7.40/5.38 (v200(constB115) <=> (~((~v197(constB115)) | (~v201(constB115))))),
% 7.40/5.38 inference(unit_resolution,[status(thm)],[10316, 108])).
% 7.40/5.38 tff(10318,plain,
% 7.40/5.38 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB115) <=> (~((~v159(constB115)) | (~v161(constB115)))))),
% 7.40/5.38 inference(quant_inst,[status(thm)],[])).
% 7.40/5.38 tff(10319,plain,
% 7.40/5.38 (v201(constB115) <=> (~((~v159(constB115)) | (~v161(constB115))))),
% 7.40/5.38 inference(unit_resolution,[status(thm)],[10318, 348])).
% 7.40/5.38 tff(10320,plain,
% 7.40/5.38 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB115) <=> v163(constB115))),
% 7.40/5.38 inference(quant_inst,[status(thm)],[])).
% 7.40/5.38 tff(10321,plain,
% 7.40/5.38 (v161(constB115) <=> v163(constB115)),
% 7.40/5.38 inference(unit_resolution,[status(thm)],[10320, 357])).
% 7.40/5.38 tff(10322,plain,
% 7.40/5.38 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB115) <=> (v145(constB115) | v167(constB115)))),
% 7.40/5.38 inference(quant_inst,[status(thm)],[])).
% 7.40/5.38 tff(10323,plain,
% 7.40/5.38 (v166(constB115) <=> (v145(constB115) | v167(constB115))),
% 7.40/5.38 inference(unit_resolution,[status(thm)],[10322, 369])).
% 7.40/5.38 tff(10324,plain,
% 7.40/5.38 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB115) <=> (v142(constB115) | v168(constB115)))),
% 7.40/5.38 inference(quant_inst,[status(thm)],[])).
% 7.40/5.38 tff(10325,plain,
% 7.40/5.38 (v167(constB115) <=> (v142(constB115) | v168(constB115))),
% 7.40/5.38 inference(unit_resolution,[status(thm)],[10324, 381])).
% 7.40/5.38 tff(10326,plain,
% 7.40/5.38 (^[VarCurr: $i] : refl((v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr))) <=> (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr))))),
% 7.40/5.38 inference(bind,[status(th)],[])).
% 7.40/5.38 tff(10327,plain,
% 7.40/5.38 (![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr))) <=> ![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))),
% 7.40/5.38 inference(quant_intro,[status(thm)],[10326])).
% 7.40/5.38 tff(10328,plain,
% 7.40/5.38 (![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr))) <=> ![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))),
% 7.40/5.38 inference(rewrite,[status(thm)],[])).
% 7.40/5.38 tff(10329,axiom,(![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_30')).
% 7.40/5.38 tff(10330,plain,
% 7.40/5.38 (![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))),
% 7.40/5.38 inference(modus_ponens,[status(thm)],[10329, 10328])).
% 7.40/5.38 tff(10331,plain,(
% 7.40/5.38 ![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))),
% 7.40/5.38 inference(skolemize,[status(sab)],[10330])).
% 7.40/5.38 tff(10332,plain,
% 7.40/5.38 (![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))),
% 7.40/5.38 inference(modus_ponens,[status(thm)],[10331, 10327])).
% 7.40/5.38 tff(10333,plain,
% 7.40/5.38 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB115) <=> (v143(constB115) | v144(constB115)))),
% 7.40/5.38 inference(quant_inst,[status(thm)],[])).
% 7.40/5.38 tff(10334,plain,
% 7.40/5.38 (v142(constB115) <=> (v143(constB115) | v144(constB115))),
% 7.40/5.38 inference(unit_resolution,[status(thm)],[10333, 10332])).
% 7.40/5.38 tff(10335,plain,
% 7.40/5.38 (^[VarCurr: $i] : refl((v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2))))) <=> (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2))))))),
% 7.40/5.38 inference(bind,[status(th)],[])).
% 7.40/5.38 tff(10336,plain,
% 7.40/5.38 (![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2))))) <=> ![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))),
% 7.40/5.38 inference(quant_intro,[status(thm)],[10335])).
% 7.40/5.38 tff(10337,plain,
% 7.40/5.38 (^[VarCurr: $i] : rewrite((v144(VarCurr) <=> (v88(VarCurr, bitIndex2) & v88(VarCurr, bitIndex1) & (~v88(VarCurr, bitIndex0)))) <=> (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2))))))),
% 7.40/5.38 inference(bind,[status(th)],[])).
% 7.40/5.38 tff(10338,plain,
% 7.40/5.38 (![VarCurr: $i] : (v144(VarCurr) <=> (v88(VarCurr, bitIndex2) & v88(VarCurr, bitIndex1) & (~v88(VarCurr, bitIndex0)))) <=> ![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))),
% 7.40/5.38 inference(quant_intro,[status(thm)],[10337])).
% 7.40/5.38 tff(10339,plain,
% 7.40/5.38 (![VarCurr: $i] : (v144(VarCurr) <=> (v88(VarCurr, bitIndex2) & v88(VarCurr, bitIndex1) & (~v88(VarCurr, bitIndex0)))) <=> ![VarCurr: $i] : (v144(VarCurr) <=> (v88(VarCurr, bitIndex2) & v88(VarCurr, bitIndex1) & (~v88(VarCurr, bitIndex0))))),
% 7.40/5.38 inference(rewrite,[status(thm)],[])).
% 7.40/5.38 tff(10340,plain,
% 7.40/5.38 (^[VarCurr: $i] : rewrite((v144(VarCurr) <=> (((v88(VarCurr, bitIndex2) <=> $true) & (v88(VarCurr, bitIndex1) <=> $true)) & (v88(VarCurr, bitIndex0) <=> $false))) <=> (v144(VarCurr) <=> (v88(VarCurr, bitIndex2) & v88(VarCurr, bitIndex1) & (~v88(VarCurr, bitIndex0)))))),
% 7.40/5.38 inference(bind,[status(th)],[])).
% 7.40/5.38 tff(10341,plain,
% 7.40/5.38 (![VarCurr: $i] : (v144(VarCurr) <=> (((v88(VarCurr, bitIndex2) <=> $true) & (v88(VarCurr, bitIndex1) <=> $true)) & (v88(VarCurr, bitIndex0) <=> $false))) <=> ![VarCurr: $i] : (v144(VarCurr) <=> (v88(VarCurr, bitIndex2) & v88(VarCurr, bitIndex1) & (~v88(VarCurr, bitIndex0))))),
% 7.40/5.38 inference(quant_intro,[status(thm)],[10340])).
% 7.40/5.38 tff(10342,axiom,(![VarCurr: $i] : (v144(VarCurr) <=> (((v88(VarCurr, bitIndex2) <=> $true) & (v88(VarCurr, bitIndex1) <=> $true)) & (v88(VarCurr, bitIndex0) <=> $false)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_13')).
% 7.40/5.38 tff(10343,plain,
% 7.40/5.38 (![VarCurr: $i] : (v144(VarCurr) <=> (v88(VarCurr, bitIndex2) & v88(VarCurr, bitIndex1) & (~v88(VarCurr, bitIndex0))))),
% 7.40/5.38 inference(modus_ponens,[status(thm)],[10342, 10341])).
% 7.40/5.38 tff(10344,plain,
% 7.40/5.38 (![VarCurr: $i] : (v144(VarCurr) <=> (v88(VarCurr, bitIndex2) & v88(VarCurr, bitIndex1) & (~v88(VarCurr, bitIndex0))))),
% 7.40/5.38 inference(modus_ponens,[status(thm)],[10343, 10339])).
% 7.40/5.38 tff(10345,plain,(
% 7.40/5.38 ![VarCurr: $i] : (v144(VarCurr) <=> (v88(VarCurr, bitIndex2) & v88(VarCurr, bitIndex1) & (~v88(VarCurr, bitIndex0))))),
% 7.40/5.38 inference(skolemize,[status(sab)],[10344])).
% 7.40/5.38 tff(10346,plain,
% 7.40/5.38 (![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))),
% 7.40/5.38 inference(modus_ponens,[status(thm)],[10345, 10338])).
% 7.40/5.38 tff(10347,plain,
% 7.40/5.38 (![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))),
% 7.40/5.38 inference(modus_ponens,[status(thm)],[10346, 10336])).
% 7.40/5.38 tff(10348,plain,
% 7.40/5.38 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB115) <=> (~((~v88(constB115, bitIndex1)) | (~v88(constB115, bitIndex2)) | v88(constB115, bitIndex0))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB115) <=> (~((~v88(constB115, bitIndex1)) | (~v88(constB115, bitIndex2)) | v88(constB115, bitIndex0)))))),
% 7.40/5.38 inference(rewrite,[status(thm)],[])).
% 7.40/5.38 tff(10349,plain,
% 7.40/5.38 ((v144(constB115) <=> (~(v88(constB115, bitIndex0) | (~v88(constB115, bitIndex1)) | (~v88(constB115, bitIndex2))))) <=> (v144(constB115) <=> (~((~v88(constB115, bitIndex1)) | (~v88(constB115, bitIndex2)) | v88(constB115, bitIndex0))))),
% 7.40/5.38 inference(rewrite,[status(thm)],[])).
% 7.40/5.38 tff(10350,plain,
% 7.40/5.38 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB115) <=> (~(v88(constB115, bitIndex0) | (~v88(constB115, bitIndex1)) | (~v88(constB115, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB115) <=> (~((~v88(constB115, bitIndex1)) | (~v88(constB115, bitIndex2)) | v88(constB115, bitIndex0)))))),
% 7.40/5.38 inference(monotonicity,[status(thm)],[10349])).
% 7.40/5.38 tff(10351,plain,
% 7.40/5.38 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB115) <=> (~(v88(constB115, bitIndex0) | (~v88(constB115, bitIndex1)) | (~v88(constB115, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB115) <=> (~((~v88(constB115, bitIndex1)) | (~v88(constB115, bitIndex2)) | v88(constB115, bitIndex0)))))),
% 7.40/5.38 inference(transitivity,[status(thm)],[10350, 10348])).
% 7.40/5.38 tff(10352,plain,
% 7.40/5.38 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB115) <=> (~(v88(constB115, bitIndex0) | (~v88(constB115, bitIndex1)) | (~v88(constB115, bitIndex2)))))),
% 7.40/5.38 inference(quant_inst,[status(thm)],[])).
% 7.40/5.38 tff(10353,plain,
% 7.40/5.38 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB115) <=> (~((~v88(constB115, bitIndex1)) | (~v88(constB115, bitIndex2)) | v88(constB115, bitIndex0))))),
% 7.40/5.38 inference(modus_ponens,[status(thm)],[10352, 10351])).
% 7.40/5.38 tff(10354,plain,
% 7.40/5.38 (v144(constB115) <=> (~((~v88(constB115, bitIndex1)) | (~v88(constB115, bitIndex2)) | v88(constB115, bitIndex0)))),
% 7.40/5.38 inference(unit_resolution,[status(thm)],[10353, 10347])).
% 7.40/5.38 tff(10355,plain,
% 7.40/5.38 ((~![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))) | (~(((~v88(constB115, bitIndex1)) <=> v90(constB115, bitIndex1)) | ((~v88(constB115, bitIndex2)) <=> v90(constB115, bitIndex2)) | ((~v88(constB115, bitIndex0)) <=> v90(constB115, bitIndex0))))),
% 7.40/5.38 inference(quant_inst,[status(thm)],[])).
% 7.40/5.38 tff(10356,plain,
% 7.40/5.38 (~(((~v88(constB115, bitIndex1)) <=> v90(constB115, bitIndex1)) | ((~v88(constB115, bitIndex2)) <=> v90(constB115, bitIndex2)) | ((~v88(constB115, bitIndex0)) <=> v90(constB115, bitIndex0)))),
% 7.40/5.38 inference(unit_resolution,[status(thm)],[10355, 428])).
% 7.40/5.38 tff(10357,plain,
% 7.40/5.38 ((((~v88(constB115, bitIndex1)) <=> v90(constB115, bitIndex1)) | ((~v88(constB115, bitIndex2)) <=> v90(constB115, bitIndex2)) | ((~v88(constB115, bitIndex0)) <=> v90(constB115, bitIndex0))) | (~((~v88(constB115, bitIndex2)) <=> v90(constB115, bitIndex2)))),
% 7.40/5.38 inference(tautology,[status(thm)],[])).
% 7.40/5.38 tff(10358,plain,
% 7.40/5.38 (~((~v88(constB115, bitIndex2)) <=> v90(constB115, bitIndex2))),
% 7.40/5.38 inference(unit_resolution,[status(thm)],[10357, 10356])).
% 7.40/5.38 tff(10359,plain,
% 7.40/5.38 (nextState(constB114, constB115) <=> nextState(constB114, constB115)),
% 7.40/5.38 inference(rewrite,[status(thm)],[])).
% 7.40/5.38 tff(10360,axiom,(nextState(constB114, constB115)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_114')).
% 7.40/5.38 tff(10361,plain,
% 7.40/5.38 (nextState(constB114, constB115)),
% 7.40/5.38 inference(modus_ponens,[status(thm)],[10360, 10359])).
% 7.40/5.38 tff(10362,plain,
% 7.40/5.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB114, constB115)) | (v100(constB115) <=> (~((~v101(constB115)) | (~v110(constB115))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB114, constB115)) | (v100(constB115) <=> (~((~v101(constB115)) | (~v110(constB115))))))),
% 7.40/5.38 inference(rewrite,[status(thm)],[])).
% 7.40/5.38 tff(10363,plain,
% 7.40/5.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB114, constB115)) | (v100(constB115) <=> (~((~v101(constB115)) | (~v110(constB115))))))),
% 7.40/5.38 inference(quant_inst,[status(thm)],[])).
% 7.40/5.38 tff(10364,plain,
% 7.40/5.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB114, constB115)) | (v100(constB115) <=> (~((~v101(constB115)) | (~v110(constB115)))))),
% 7.40/5.38 inference(modus_ponens,[status(thm)],[10363, 10362])).
% 7.40/5.38 tff(10365,plain,
% 7.40/5.38 (v100(constB115) <=> (~((~v101(constB115)) | (~v110(constB115))))),
% 7.40/5.38 inference(unit_resolution,[status(thm)],[10364, 10361, 445])).
% 7.40/5.38 tff(10366,plain,
% 7.40/5.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB114, constB115)) | (v101(constB115) <=> (~((~v1(constB115)) | (~v102(constB115))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB114, constB115)) | (v101(constB115) <=> (~((~v1(constB115)) | (~v102(constB115))))))),
% 7.40/5.38 inference(rewrite,[status(thm)],[])).
% 7.40/5.38 tff(10367,plain,
% 7.40/5.38 (((~nextState(constB114, constB115)) | (v101(constB115) <=> (~((~v102(constB115)) | (~v1(constB115)))))) <=> ((~nextState(constB114, constB115)) | (v101(constB115) <=> (~((~v1(constB115)) | (~v102(constB115))))))),
% 7.40/5.38 inference(rewrite,[status(thm)],[])).
% 7.40/5.38 tff(10368,plain,
% 7.40/5.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB114, constB115)) | (v101(constB115) <=> (~((~v102(constB115)) | (~v1(constB115))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB114, constB115)) | (v101(constB115) <=> (~((~v1(constB115)) | (~v102(constB115)))))))),
% 7.40/5.38 inference(monotonicity,[status(thm)],[10367])).
% 7.40/5.38 tff(10369,plain,
% 7.40/5.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB114, constB115)) | (v101(constB115) <=> (~((~v102(constB115)) | (~v1(constB115))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB114, constB115)) | (v101(constB115) <=> (~((~v1(constB115)) | (~v102(constB115))))))),
% 7.40/5.38 inference(transitivity,[status(thm)],[10368, 10366])).
% 7.40/5.38 tff(10370,plain,
% 7.40/5.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB114, constB115)) | (v101(constB115) <=> (~((~v102(constB115)) | (~v1(constB115))))))),
% 7.40/5.38 inference(quant_inst,[status(thm)],[])).
% 7.40/5.38 tff(10371,plain,
% 7.40/5.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB114, constB115)) | (v101(constB115) <=> (~((~v1(constB115)) | (~v102(constB115)))))),
% 7.40/5.38 inference(modus_ponens,[status(thm)],[10370, 10369])).
% 7.40/5.38 tff(10372,plain,
% 7.40/5.38 (v101(constB115) <=> (~((~v1(constB115)) | (~v102(constB115))))),
% 7.40/5.38 inference(unit_resolution,[status(thm)],[10371, 10361, 465])).
% 7.40/5.38 tff(10373,plain,
% 7.40/5.38 (((~v1(constB115)) | (~v102(constB115))) | v1(constB115)),
% 7.40/5.38 inference(tautology,[status(thm)],[])).
% 7.40/5.38 tff(10374,plain,
% 7.40/5.38 ((~v1(constB115)) | (~v102(constB115))),
% 7.40/5.38 inference(unit_resolution,[status(thm)],[10373, 10295])).
% 7.40/5.38 tff(10375,plain,
% 7.40/5.38 ((~(v101(constB115) <=> (~((~v1(constB115)) | (~v102(constB115)))))) | (~v101(constB115)) | (~((~v1(constB115)) | (~v102(constB115))))),
% 7.40/5.38 inference(tautology,[status(thm)],[])).
% 7.40/5.38 tff(10376,plain,
% 7.40/5.38 ((~(v101(constB115) <=> (~((~v1(constB115)) | (~v102(constB115)))))) | (~v101(constB115))),
% 7.40/5.38 inference(unit_resolution,[status(thm)],[10375, 10374])).
% 7.40/5.38 tff(10377,plain,
% 7.40/5.38 (~v101(constB115)),
% 7.40/5.38 inference(unit_resolution,[status(thm)],[10376, 10372])).
% 7.40/5.38 tff(10378,plain,
% 7.40/5.38 (((~v101(constB115)) | (~v110(constB115))) | v101(constB115)),
% 7.40/5.38 inference(tautology,[status(thm)],[])).
% 7.40/5.38 tff(10379,plain,
% 7.40/5.38 ((~v101(constB115)) | (~v110(constB115))),
% 7.40/5.38 inference(unit_resolution,[status(thm)],[10378, 10377])).
% 7.40/5.38 tff(10380,plain,
% 7.40/5.38 ((~(v100(constB115) <=> (~((~v101(constB115)) | (~v110(constB115)))))) | (~v100(constB115)) | (~((~v101(constB115)) | (~v110(constB115))))),
% 7.40/5.38 inference(tautology,[status(thm)],[])).
% 7.40/5.38 tff(10381,plain,
% 7.40/5.38 (~v100(constB115)),
% 7.40/5.38 inference(unit_resolution,[status(thm)],[10380, 10379, 10365])).
% 7.40/5.38 tff(10382,plain,
% 7.40/5.38 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB115) | (~nextState(constB114, constB115)) | (~(((~v90(constB115, bitIndex1)) <=> v90(constB114, bitIndex1)) | ((~v90(constB115, bitIndex2)) <=> v90(constB114, bitIndex2)) | ((~v90(constB115, bitIndex0)) <=> v90(constB114, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB115) | (~nextState(constB114, constB115)) | (~(((~v90(constB115, bitIndex1)) <=> v90(constB114, bitIndex1)) | ((~v90(constB115, bitIndex2)) <=> v90(constB114, bitIndex2)) | ((~v90(constB115, bitIndex0)) <=> v90(constB114, bitIndex0)))))),
% 7.40/5.38 inference(rewrite,[status(thm)],[])).
% 7.40/5.38 tff(10383,plain,
% 7.40/5.38 ((v100(constB115) | (~nextState(constB114, constB115)) | (~(((~v90(constB115, bitIndex2)) <=> v90(constB114, bitIndex2)) | ((~v90(constB115, bitIndex1)) <=> v90(constB114, bitIndex1)) | ((~v90(constB115, bitIndex0)) <=> v90(constB114, bitIndex0))))) <=> (v100(constB115) | (~nextState(constB114, constB115)) | (~(((~v90(constB115, bitIndex1)) <=> v90(constB114, bitIndex1)) | ((~v90(constB115, bitIndex2)) <=> v90(constB114, bitIndex2)) | ((~v90(constB115, bitIndex0)) <=> v90(constB114, bitIndex0)))))),
% 7.40/5.38 inference(rewrite,[status(thm)],[])).
% 7.40/5.38 tff(10384,plain,
% 7.40/5.38 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB115) | (~nextState(constB114, constB115)) | (~(((~v90(constB115, bitIndex2)) <=> v90(constB114, bitIndex2)) | ((~v90(constB115, bitIndex1)) <=> v90(constB114, bitIndex1)) | ((~v90(constB115, bitIndex0)) <=> v90(constB114, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB115) | (~nextState(constB114, constB115)) | (~(((~v90(constB115, bitIndex1)) <=> v90(constB114, bitIndex1)) | ((~v90(constB115, bitIndex2)) <=> v90(constB114, bitIndex2)) | ((~v90(constB115, bitIndex0)) <=> v90(constB114, bitIndex0))))))),
% 7.40/5.38 inference(monotonicity,[status(thm)],[10383])).
% 7.40/5.38 tff(10385,plain,
% 7.40/5.38 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB115) | (~nextState(constB114, constB115)) | (~(((~v90(constB115, bitIndex2)) <=> v90(constB114, bitIndex2)) | ((~v90(constB115, bitIndex1)) <=> v90(constB114, bitIndex1)) | ((~v90(constB115, bitIndex0)) <=> v90(constB114, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB115) | (~nextState(constB114, constB115)) | (~(((~v90(constB115, bitIndex1)) <=> v90(constB114, bitIndex1)) | ((~v90(constB115, bitIndex2)) <=> v90(constB114, bitIndex2)) | ((~v90(constB115, bitIndex0)) <=> v90(constB114, bitIndex0)))))),
% 7.40/5.38 inference(transitivity,[status(thm)],[10384, 10382])).
% 7.40/5.38 tff(10386,plain,
% 7.40/5.38 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB115) | (~nextState(constB114, constB115)) | (~(((~v90(constB115, bitIndex2)) <=> v90(constB114, bitIndex2)) | ((~v90(constB115, bitIndex1)) <=> v90(constB114, bitIndex1)) | ((~v90(constB115, bitIndex0)) <=> v90(constB114, bitIndex0)))))),
% 7.40/5.38 inference(quant_inst,[status(thm)],[])).
% 7.40/5.38 tff(10387,plain,
% 7.40/5.38 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB115) | (~nextState(constB114, constB115)) | (~(((~v90(constB115, bitIndex1)) <=> v90(constB114, bitIndex1)) | ((~v90(constB115, bitIndex2)) <=> v90(constB114, bitIndex2)) | ((~v90(constB115, bitIndex0)) <=> v90(constB114, bitIndex0))))),
% 7.40/5.38 inference(modus_ponens,[status(thm)],[10386, 10385])).
% 7.40/5.38 tff(10388,plain,
% 7.40/5.38 (v100(constB115) | (~(((~v90(constB115, bitIndex1)) <=> v90(constB114, bitIndex1)) | ((~v90(constB115, bitIndex2)) <=> v90(constB114, bitIndex2)) | ((~v90(constB115, bitIndex0)) <=> v90(constB114, bitIndex0))))),
% 7.40/5.38 inference(unit_resolution,[status(thm)],[10387, 10361, 494])).
% 7.40/5.38 tff(10389,plain,
% 7.40/5.38 (~(((~v90(constB115, bitIndex1)) <=> v90(constB114, bitIndex1)) | ((~v90(constB115, bitIndex2)) <=> v90(constB114, bitIndex2)) | ((~v90(constB115, bitIndex0)) <=> v90(constB114, bitIndex0)))),
% 7.40/5.38 inference(unit_resolution,[status(thm)],[10388, 10381])).
% 7.40/5.38 tff(10390,plain,
% 7.40/5.38 ((((~v90(constB115, bitIndex1)) <=> v90(constB114, bitIndex1)) | ((~v90(constB115, bitIndex2)) <=> v90(constB114, bitIndex2)) | ((~v90(constB115, bitIndex0)) <=> v90(constB114, bitIndex0))) | (~((~v90(constB115, bitIndex2)) <=> v90(constB114, bitIndex2)))),
% 7.40/5.38 inference(tautology,[status(thm)],[])).
% 7.40/5.38 tff(10391,plain,
% 7.40/5.38 (~((~v90(constB115, bitIndex2)) <=> v90(constB114, bitIndex2))),
% 7.40/5.38 inference(unit_resolution,[status(thm)],[10390, 10389])).
% 7.40/5.38 tff(10392,plain,
% 7.40/5.38 (nextState(constB113, constB114) <=> nextState(constB113, constB114)),
% 7.40/5.38 inference(rewrite,[status(thm)],[])).
% 7.40/5.38 tff(10393,axiom,(nextState(constB113, constB114)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_113')).
% 7.40/5.38 tff(10394,plain,
% 7.40/5.38 (nextState(constB113, constB114)),
% 7.40/5.38 inference(modus_ponens,[status(thm)],[10393, 10392])).
% 7.40/5.38 tff(10395,plain,
% 7.40/5.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB113, constB114)) | (~(((~v129(constB114, bitIndex2)) <=> v127(constB113, bitIndex2)) | ((~v129(constB114, bitIndex1)) <=> v127(constB113, bitIndex1)) | ((~v129(constB114, bitIndex0)) <=> v127(constB113, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB113, constB114)) | (~(((~v129(constB114, bitIndex2)) <=> v127(constB113, bitIndex2)) | ((~v129(constB114, bitIndex1)) <=> v127(constB113, bitIndex1)) | ((~v129(constB114, bitIndex0)) <=> v127(constB113, bitIndex0)))))),
% 7.40/5.38 inference(rewrite,[status(thm)],[])).
% 7.40/5.38 tff(10396,plain,
% 7.40/5.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB113, constB114)) | (~(((~v129(constB114, bitIndex2)) <=> v127(constB113, bitIndex2)) | ((~v129(constB114, bitIndex1)) <=> v127(constB113, bitIndex1)) | ((~v129(constB114, bitIndex0)) <=> v127(constB113, bitIndex0)))))),
% 7.40/5.38 inference(quant_inst,[status(thm)],[])).
% 7.40/5.38 tff(10397,plain,
% 7.40/5.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB113, constB114)) | (~(((~v129(constB114, bitIndex2)) <=> v127(constB113, bitIndex2)) | ((~v129(constB114, bitIndex1)) <=> v127(constB113, bitIndex1)) | ((~v129(constB114, bitIndex0)) <=> v127(constB113, bitIndex0))))),
% 7.40/5.38 inference(modus_ponens,[status(thm)],[10396, 10395])).
% 7.40/5.38 tff(10398,plain,
% 7.40/5.38 (~(((~v129(constB114, bitIndex2)) <=> v127(constB113, bitIndex2)) | ((~v129(constB114, bitIndex1)) <=> v127(constB113, bitIndex1)) | ((~v129(constB114, bitIndex0)) <=> v127(constB113, bitIndex0)))),
% 7.40/5.38 inference(unit_resolution,[status(thm)],[10397, 10394, 517])).
% 7.40/5.38 tff(10399,plain,
% 7.40/5.38 ((((~v129(constB114, bitIndex2)) <=> v127(constB113, bitIndex2)) | ((~v129(constB114, bitIndex1)) <=> v127(constB113, bitIndex1)) | ((~v129(constB114, bitIndex0)) <=> v127(constB113, bitIndex0))) | (~((~v129(constB114, bitIndex2)) <=> v127(constB113, bitIndex2)))),
% 7.40/5.38 inference(tautology,[status(thm)],[])).
% 7.40/5.38 tff(10400,plain,
% 7.40/5.38 (~((~v129(constB114, bitIndex2)) <=> v127(constB113, bitIndex2))),
% 7.40/5.38 inference(unit_resolution,[status(thm)],[10399, 10398])).
% 7.40/5.38 tff(10401,plain,
% 7.40/5.38 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB113) <=> v26(constB113))),
% 7.40/5.38 inference(quant_inst,[status(thm)],[])).
% 7.40/5.38 tff(10402,plain,
% 7.40/5.38 (v111(constB113) <=> v26(constB113)),
% 7.40/5.38 inference(unit_resolution,[status(thm)],[10401, 536])).
% 7.40/5.38 tff(10403,plain,
% 7.40/5.38 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB113))),
% 7.40/5.38 inference(quant_inst,[status(thm)],[])).
% 7.40/5.38 tff(10404,plain,
% 7.40/5.38 (~v26(constB113)),
% 7.40/5.38 inference(unit_resolution,[status(thm)],[10403, 548])).
% 7.40/5.38 tff(10405,plain,
% 7.40/5.38 ((~(v111(constB113) <=> v26(constB113))) | (~v111(constB113)) | v26(constB113)),
% 7.40/5.38 inference(tautology,[status(thm)],[])).
% 7.40/5.38 tff(10406,plain,
% 7.40/5.38 ((~(v111(constB113) <=> v26(constB113))) | (~v111(constB113))),
% 7.40/5.38 inference(unit_resolution,[status(thm)],[10405, 10404])).
% 7.40/5.38 tff(10407,plain,
% 7.40/5.38 (~v111(constB113)),
% 7.40/5.38 inference(unit_resolution,[status(thm)],[10406, 10402])).
% 7.40/5.38 tff(10408,plain,
% 7.40/5.38 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB113) | (~(((~v127(constB113, bitIndex2)) <=> v130(constB113, bitIndex2)) | ((~v127(constB113, bitIndex1)) <=> v130(constB113, bitIndex1)) | ((~v127(constB113, bitIndex0)) <=> v130(constB113, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB113) | (~(((~v127(constB113, bitIndex2)) <=> v130(constB113, bitIndex2)) | ((~v127(constB113, bitIndex1)) <=> v130(constB113, bitIndex1)) | ((~v127(constB113, bitIndex0)) <=> v130(constB113, bitIndex0)))))),
% 7.40/5.39 inference(rewrite,[status(thm)],[])).
% 7.40/5.39 tff(10409,plain,
% 7.40/5.39 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB113) | (~(((~v127(constB113, bitIndex2)) <=> v130(constB113, bitIndex2)) | ((~v127(constB113, bitIndex1)) <=> v130(constB113, bitIndex1)) | ((~v127(constB113, bitIndex0)) <=> v130(constB113, bitIndex0)))))),
% 7.40/5.39 inference(quant_inst,[status(thm)],[])).
% 7.40/5.39 tff(10410,plain,
% 7.40/5.39 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB113) | (~(((~v127(constB113, bitIndex2)) <=> v130(constB113, bitIndex2)) | ((~v127(constB113, bitIndex1)) <=> v130(constB113, bitIndex1)) | ((~v127(constB113, bitIndex0)) <=> v130(constB113, bitIndex0))))),
% 7.40/5.39 inference(modus_ponens,[status(thm)],[10409, 10408])).
% 7.40/5.39 tff(10411,plain,
% 7.40/5.39 (v111(constB113) | (~(((~v127(constB113, bitIndex2)) <=> v130(constB113, bitIndex2)) | ((~v127(constB113, bitIndex1)) <=> v130(constB113, bitIndex1)) | ((~v127(constB113, bitIndex0)) <=> v130(constB113, bitIndex0))))),
% 7.40/5.39 inference(unit_resolution,[status(thm)],[10410, 566])).
% 7.40/5.39 tff(10412,plain,
% 7.40/5.39 (~(((~v127(constB113, bitIndex2)) <=> v130(constB113, bitIndex2)) | ((~v127(constB113, bitIndex1)) <=> v130(constB113, bitIndex1)) | ((~v127(constB113, bitIndex0)) <=> v130(constB113, bitIndex0)))),
% 7.40/5.39 inference(unit_resolution,[status(thm)],[10411, 10407])).
% 7.40/5.39 tff(10413,plain,
% 7.40/5.39 ((((~v127(constB113, bitIndex2)) <=> v130(constB113, bitIndex2)) | ((~v127(constB113, bitIndex1)) <=> v130(constB113, bitIndex1)) | ((~v127(constB113, bitIndex0)) <=> v130(constB113, bitIndex0))) | (~((~v127(constB113, bitIndex2)) <=> v130(constB113, bitIndex2)))),
% 7.40/5.39 inference(tautology,[status(thm)],[])).
% 7.40/5.39 tff(10414,plain,
% 7.40/5.39 (~((~v127(constB113, bitIndex2)) <=> v130(constB113, bitIndex2))),
% 7.40/5.39 inference(unit_resolution,[status(thm)],[10413, 10412])).
% 7.40/5.39 tff(10415,plain,
% 7.40/5.39 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB113) <=> (~(v90(constB113, bitIndex1) | v90(constB113, bitIndex0) | (~v90(constB113, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB113) <=> (~(v90(constB113, bitIndex1) | v90(constB113, bitIndex0) | (~v90(constB113, bitIndex2))))))),
% 7.40/5.39 inference(rewrite,[status(thm)],[])).
% 7.40/5.39 tff(10416,plain,
% 7.40/5.39 ((v123(constB113) <=> (~(v90(constB113, bitIndex0) | v90(constB113, bitIndex1) | (~v90(constB113, bitIndex2))))) <=> (v123(constB113) <=> (~(v90(constB113, bitIndex1) | v90(constB113, bitIndex0) | (~v90(constB113, bitIndex2)))))),
% 7.40/5.39 inference(rewrite,[status(thm)],[])).
% 7.40/5.39 tff(10417,plain,
% 7.40/5.39 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB113) <=> (~(v90(constB113, bitIndex0) | v90(constB113, bitIndex1) | (~v90(constB113, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB113) <=> (~(v90(constB113, bitIndex1) | v90(constB113, bitIndex0) | (~v90(constB113, bitIndex2))))))),
% 7.40/5.39 inference(monotonicity,[status(thm)],[10416])).
% 7.40/5.39 tff(10418,plain,
% 7.40/5.39 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB113) <=> (~(v90(constB113, bitIndex0) | v90(constB113, bitIndex1) | (~v90(constB113, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB113) <=> (~(v90(constB113, bitIndex1) | v90(constB113, bitIndex0) | (~v90(constB113, bitIndex2))))))),
% 7.40/5.39 inference(transitivity,[status(thm)],[10417, 10415])).
% 7.40/5.39 tff(10419,plain,
% 7.40/5.39 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB113) <=> (~(v90(constB113, bitIndex0) | v90(constB113, bitIndex1) | (~v90(constB113, bitIndex2)))))),
% 7.40/5.39 inference(quant_inst,[status(thm)],[])).
% 7.40/5.39 tff(10420,plain,
% 7.40/5.39 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB113) <=> (~(v90(constB113, bitIndex1) | v90(constB113, bitIndex0) | (~v90(constB113, bitIndex2)))))),
% 7.40/5.39 inference(modus_ponens,[status(thm)],[10419, 10418])).
% 7.40/5.39 tff(10421,plain,
% 7.40/5.39 (v123(constB113) <=> (~(v90(constB113, bitIndex1) | v90(constB113, bitIndex0) | (~v90(constB113, bitIndex2))))),
% 7.40/5.39 inference(unit_resolution,[status(thm)],[10420, 800])).
% 7.40/5.39 tff(10422,plain,
% 7.40/5.39 (nextState(constB112, constB113) <=> nextState(constB112, constB113)),
% 7.40/5.39 inference(rewrite,[status(thm)],[])).
% 7.40/5.39 tff(10423,axiom,(nextState(constB112, constB113)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_112')).
% 7.40/5.39 tff(10424,plain,
% 7.40/5.39 (nextState(constB112, constB113)),
% 7.40/5.39 inference(modus_ponens,[status(thm)],[10423, 10422])).
% 7.40/5.39 tff(10425,plain,
% 7.40/5.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB112, constB113)) | (v100(constB113) <=> (~((~v101(constB113)) | (~v110(constB113))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB112, constB113)) | (v100(constB113) <=> (~((~v101(constB113)) | (~v110(constB113))))))),
% 7.40/5.39 inference(rewrite,[status(thm)],[])).
% 7.40/5.39 tff(10426,plain,
% 7.40/5.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB112, constB113)) | (v100(constB113) <=> (~((~v101(constB113)) | (~v110(constB113))))))),
% 7.40/5.39 inference(quant_inst,[status(thm)],[])).
% 7.40/5.39 tff(10427,plain,
% 7.40/5.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB112, constB113)) | (v100(constB113) <=> (~((~v101(constB113)) | (~v110(constB113)))))),
% 7.40/5.39 inference(modus_ponens,[status(thm)],[10426, 10425])).
% 7.40/5.39 tff(10428,plain,
% 7.40/5.39 (v100(constB113) <=> (~((~v101(constB113)) | (~v110(constB113))))),
% 7.40/5.39 inference(unit_resolution,[status(thm)],[10427, 10424, 445])).
% 7.40/5.39 tff(10429,plain,
% 7.40/5.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB112, constB113)) | (v101(constB113) <=> (~((~v1(constB113)) | (~v102(constB113))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB112, constB113)) | (v101(constB113) <=> (~((~v1(constB113)) | (~v102(constB113))))))),
% 7.40/5.39 inference(rewrite,[status(thm)],[])).
% 7.40/5.39 tff(10430,plain,
% 7.40/5.39 (((~nextState(constB112, constB113)) | (v101(constB113) <=> (~((~v102(constB113)) | (~v1(constB113)))))) <=> ((~nextState(constB112, constB113)) | (v101(constB113) <=> (~((~v1(constB113)) | (~v102(constB113))))))),
% 7.40/5.39 inference(rewrite,[status(thm)],[])).
% 7.40/5.39 tff(10431,plain,
% 7.40/5.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB112, constB113)) | (v101(constB113) <=> (~((~v102(constB113)) | (~v1(constB113))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB112, constB113)) | (v101(constB113) <=> (~((~v1(constB113)) | (~v102(constB113)))))))),
% 7.40/5.39 inference(monotonicity,[status(thm)],[10430])).
% 7.40/5.39 tff(10432,plain,
% 7.40/5.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB112, constB113)) | (v101(constB113) <=> (~((~v102(constB113)) | (~v1(constB113))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB112, constB113)) | (v101(constB113) <=> (~((~v1(constB113)) | (~v102(constB113))))))),
% 7.40/5.39 inference(transitivity,[status(thm)],[10431, 10429])).
% 7.40/5.39 tff(10433,plain,
% 7.40/5.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB112, constB113)) | (v101(constB113) <=> (~((~v102(constB113)) | (~v1(constB113))))))),
% 7.40/5.39 inference(quant_inst,[status(thm)],[])).
% 7.40/5.39 tff(10434,plain,
% 7.40/5.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB112, constB113)) | (v101(constB113) <=> (~((~v1(constB113)) | (~v102(constB113)))))),
% 7.40/5.39 inference(modus_ponens,[status(thm)],[10433, 10432])).
% 7.40/5.39 tff(10435,plain,
% 7.40/5.39 (v101(constB113) <=> (~((~v1(constB113)) | (~v102(constB113))))),
% 7.40/5.39 inference(unit_resolution,[status(thm)],[10434, 10424, 465])).
% 7.40/5.39 tff(10436,plain,
% 7.40/5.39 ((~v1(constB113)) <=> (~v1(constB113))),
% 7.40/5.39 inference(rewrite,[status(thm)],[])).
% 7.40/5.39 tff(10437,axiom,(~v1(constB113)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_113')).
% 7.40/5.39 tff(10438,plain,
% 7.40/5.39 (~v1(constB113)),
% 7.40/5.39 inference(modus_ponens,[status(thm)],[10437, 10436])).
% 7.40/5.39 tff(10439,plain,
% 7.40/5.39 (((~v1(constB113)) | (~v102(constB113))) | v1(constB113)),
% 7.40/5.39 inference(tautology,[status(thm)],[])).
% 7.40/5.39 tff(10440,plain,
% 7.40/5.39 ((~v1(constB113)) | (~v102(constB113))),
% 7.40/5.39 inference(unit_resolution,[status(thm)],[10439, 10438])).
% 7.40/5.39 tff(10441,plain,
% 7.40/5.39 ((~(v101(constB113) <=> (~((~v1(constB113)) | (~v102(constB113)))))) | (~v101(constB113)) | (~((~v1(constB113)) | (~v102(constB113))))),
% 7.40/5.39 inference(tautology,[status(thm)],[])).
% 7.40/5.39 tff(10442,plain,
% 7.40/5.39 ((~(v101(constB113) <=> (~((~v1(constB113)) | (~v102(constB113)))))) | (~v101(constB113))),
% 7.40/5.39 inference(unit_resolution,[status(thm)],[10441, 10440])).
% 7.40/5.39 tff(10443,plain,
% 7.40/5.39 (~v101(constB113)),
% 7.40/5.39 inference(unit_resolution,[status(thm)],[10442, 10435])).
% 7.40/5.39 tff(10444,plain,
% 7.40/5.39 (((~v101(constB113)) | (~v110(constB113))) | v101(constB113)),
% 7.40/5.39 inference(tautology,[status(thm)],[])).
% 7.40/5.39 tff(10445,plain,
% 7.40/5.39 ((~v101(constB113)) | (~v110(constB113))),
% 7.40/5.39 inference(unit_resolution,[status(thm)],[10444, 10443])).
% 7.40/5.39 tff(10446,plain,
% 7.40/5.39 ((~(v100(constB113) <=> (~((~v101(constB113)) | (~v110(constB113)))))) | (~v100(constB113)) | (~((~v101(constB113)) | (~v110(constB113))))),
% 7.40/5.39 inference(tautology,[status(thm)],[])).
% 7.40/5.39 tff(10447,plain,
% 7.40/5.39 (~v100(constB113)),
% 7.40/5.39 inference(unit_resolution,[status(thm)],[10446, 10445, 10428])).
% 7.40/5.39 tff(10448,plain,
% 7.40/5.39 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB113) | (~nextState(constB112, constB113)) | (~(((~v90(constB113, bitIndex1)) <=> v90(constB112, bitIndex1)) | ((~v90(constB113, bitIndex2)) <=> v90(constB112, bitIndex2)) | ((~v90(constB113, bitIndex0)) <=> v90(constB112, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB113) | (~nextState(constB112, constB113)) | (~(((~v90(constB113, bitIndex1)) <=> v90(constB112, bitIndex1)) | ((~v90(constB113, bitIndex2)) <=> v90(constB112, bitIndex2)) | ((~v90(constB113, bitIndex0)) <=> v90(constB112, bitIndex0)))))),
% 7.40/5.39 inference(rewrite,[status(thm)],[])).
% 7.40/5.39 tff(10449,plain,
% 7.40/5.39 ((v100(constB113) | (~nextState(constB112, constB113)) | (~(((~v90(constB113, bitIndex2)) <=> v90(constB112, bitIndex2)) | ((~v90(constB113, bitIndex1)) <=> v90(constB112, bitIndex1)) | ((~v90(constB113, bitIndex0)) <=> v90(constB112, bitIndex0))))) <=> (v100(constB113) | (~nextState(constB112, constB113)) | (~(((~v90(constB113, bitIndex1)) <=> v90(constB112, bitIndex1)) | ((~v90(constB113, bitIndex2)) <=> v90(constB112, bitIndex2)) | ((~v90(constB113, bitIndex0)) <=> v90(constB112, bitIndex0)))))),
% 7.40/5.39 inference(rewrite,[status(thm)],[])).
% 7.40/5.39 tff(10450,plain,
% 7.40/5.39 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB113) | (~nextState(constB112, constB113)) | (~(((~v90(constB113, bitIndex2)) <=> v90(constB112, bitIndex2)) | ((~v90(constB113, bitIndex1)) <=> v90(constB112, bitIndex1)) | ((~v90(constB113, bitIndex0)) <=> v90(constB112, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB113) | (~nextState(constB112, constB113)) | (~(((~v90(constB113, bitIndex1)) <=> v90(constB112, bitIndex1)) | ((~v90(constB113, bitIndex2)) <=> v90(constB112, bitIndex2)) | ((~v90(constB113, bitIndex0)) <=> v90(constB112, bitIndex0))))))),
% 7.40/5.39 inference(monotonicity,[status(thm)],[10449])).
% 7.40/5.39 tff(10451,plain,
% 7.40/5.39 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB113) | (~nextState(constB112, constB113)) | (~(((~v90(constB113, bitIndex2)) <=> v90(constB112, bitIndex2)) | ((~v90(constB113, bitIndex1)) <=> v90(constB112, bitIndex1)) | ((~v90(constB113, bitIndex0)) <=> v90(constB112, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB113) | (~nextState(constB112, constB113)) | (~(((~v90(constB113, bitIndex1)) <=> v90(constB112, bitIndex1)) | ((~v90(constB113, bitIndex2)) <=> v90(constB112, bitIndex2)) | ((~v90(constB113, bitIndex0)) <=> v90(constB112, bitIndex0)))))),
% 7.40/5.39 inference(transitivity,[status(thm)],[10450, 10448])).
% 7.40/5.39 tff(10452,plain,
% 7.40/5.39 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB113) | (~nextState(constB112, constB113)) | (~(((~v90(constB113, bitIndex2)) <=> v90(constB112, bitIndex2)) | ((~v90(constB113, bitIndex1)) <=> v90(constB112, bitIndex1)) | ((~v90(constB113, bitIndex0)) <=> v90(constB112, bitIndex0)))))),
% 7.40/5.39 inference(quant_inst,[status(thm)],[])).
% 7.40/5.39 tff(10453,plain,
% 7.40/5.39 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB113) | (~nextState(constB112, constB113)) | (~(((~v90(constB113, bitIndex1)) <=> v90(constB112, bitIndex1)) | ((~v90(constB113, bitIndex2)) <=> v90(constB112, bitIndex2)) | ((~v90(constB113, bitIndex0)) <=> v90(constB112, bitIndex0))))),
% 7.40/5.39 inference(modus_ponens,[status(thm)],[10452, 10451])).
% 7.40/5.39 tff(10454,plain,
% 7.40/5.39 (v100(constB113) | (~(((~v90(constB113, bitIndex1)) <=> v90(constB112, bitIndex1)) | ((~v90(constB113, bitIndex2)) <=> v90(constB112, bitIndex2)) | ((~v90(constB113, bitIndex0)) <=> v90(constB112, bitIndex0))))),
% 7.40/5.39 inference(unit_resolution,[status(thm)],[10453, 10424, 494])).
% 7.40/5.39 tff(10455,plain,
% 7.40/5.39 (~(((~v90(constB113, bitIndex1)) <=> v90(constB112, bitIndex1)) | ((~v90(constB113, bitIndex2)) <=> v90(constB112, bitIndex2)) | ((~v90(constB113, bitIndex0)) <=> v90(constB112, bitIndex0)))),
% 7.40/5.39 inference(unit_resolution,[status(thm)],[10454, 10447])).
% 7.40/5.39 tff(10456,plain,
% 7.40/5.39 ((((~v90(constB113, bitIndex1)) <=> v90(constB112, bitIndex1)) | ((~v90(constB113, bitIndex2)) <=> v90(constB112, bitIndex2)) | ((~v90(constB113, bitIndex0)) <=> v90(constB112, bitIndex0))) | (~((~v90(constB113, bitIndex2)) <=> v90(constB112, bitIndex2)))),
% 7.40/5.39 inference(tautology,[status(thm)],[])).
% 7.40/5.39 tff(10457,plain,
% 7.40/5.39 (~((~v90(constB113, bitIndex2)) <=> v90(constB112, bitIndex2))),
% 7.40/5.39 inference(unit_resolution,[status(thm)],[10456, 10455])).
% 7.40/5.39 tff(10458,plain,
% 7.40/5.39 (nextState(constB111, constB112) <=> nextState(constB111, constB112)),
% 7.40/5.39 inference(rewrite,[status(thm)],[])).
% 7.40/5.39 tff(10459,axiom,(nextState(constB111, constB112)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_111')).
% 7.40/5.39 tff(10460,plain,
% 7.40/5.39 (nextState(constB111, constB112)),
% 7.40/5.39 inference(modus_ponens,[status(thm)],[10459, 10458])).
% 7.40/5.39 tff(10461,plain,
% 7.40/5.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB111, constB112)) | (~(((~v129(constB112, bitIndex2)) <=> v127(constB111, bitIndex2)) | ((~v129(constB112, bitIndex1)) <=> v127(constB111, bitIndex1)) | ((~v129(constB112, bitIndex0)) <=> v127(constB111, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB111, constB112)) | (~(((~v129(constB112, bitIndex2)) <=> v127(constB111, bitIndex2)) | ((~v129(constB112, bitIndex1)) <=> v127(constB111, bitIndex1)) | ((~v129(constB112, bitIndex0)) <=> v127(constB111, bitIndex0)))))),
% 7.40/5.39 inference(rewrite,[status(thm)],[])).
% 7.40/5.39 tff(10462,plain,
% 7.40/5.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB111, constB112)) | (~(((~v129(constB112, bitIndex2)) <=> v127(constB111, bitIndex2)) | ((~v129(constB112, bitIndex1)) <=> v127(constB111, bitIndex1)) | ((~v129(constB112, bitIndex0)) <=> v127(constB111, bitIndex0)))))),
% 7.40/5.39 inference(quant_inst,[status(thm)],[])).
% 7.40/5.39 tff(10463,plain,
% 7.40/5.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB111, constB112)) | (~(((~v129(constB112, bitIndex2)) <=> v127(constB111, bitIndex2)) | ((~v129(constB112, bitIndex1)) <=> v127(constB111, bitIndex1)) | ((~v129(constB112, bitIndex0)) <=> v127(constB111, bitIndex0))))),
% 7.40/5.39 inference(modus_ponens,[status(thm)],[10462, 10461])).
% 7.40/5.39 tff(10464,plain,
% 7.40/5.39 (~(((~v129(constB112, bitIndex2)) <=> v127(constB111, bitIndex2)) | ((~v129(constB112, bitIndex1)) <=> v127(constB111, bitIndex1)) | ((~v129(constB112, bitIndex0)) <=> v127(constB111, bitIndex0)))),
% 7.48/5.39 inference(unit_resolution,[status(thm)],[10463, 10460, 517])).
% 7.48/5.39 tff(10465,plain,
% 7.48/5.39 ((((~v129(constB112, bitIndex2)) <=> v127(constB111, bitIndex2)) | ((~v129(constB112, bitIndex1)) <=> v127(constB111, bitIndex1)) | ((~v129(constB112, bitIndex0)) <=> v127(constB111, bitIndex0))) | (~((~v129(constB112, bitIndex2)) <=> v127(constB111, bitIndex2)))),
% 7.48/5.39 inference(tautology,[status(thm)],[])).
% 7.48/5.39 tff(10466,plain,
% 7.48/5.39 (~((~v129(constB112, bitIndex2)) <=> v127(constB111, bitIndex2))),
% 7.48/5.39 inference(unit_resolution,[status(thm)],[10465, 10464])).
% 7.48/5.39 tff(10467,plain,
% 7.48/5.39 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB111) <=> v26(constB111))),
% 7.48/5.39 inference(quant_inst,[status(thm)],[])).
% 7.48/5.39 tff(10468,plain,
% 7.48/5.39 (v111(constB111) <=> v26(constB111)),
% 7.48/5.39 inference(unit_resolution,[status(thm)],[10467, 536])).
% 7.48/5.39 tff(10469,plain,
% 7.48/5.39 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB111))),
% 7.48/5.39 inference(quant_inst,[status(thm)],[])).
% 7.48/5.39 tff(10470,plain,
% 7.48/5.39 (~v26(constB111)),
% 7.48/5.39 inference(unit_resolution,[status(thm)],[10469, 548])).
% 7.48/5.39 tff(10471,plain,
% 7.48/5.39 ((~(v111(constB111) <=> v26(constB111))) | (~v111(constB111)) | v26(constB111)),
% 7.48/5.39 inference(tautology,[status(thm)],[])).
% 7.48/5.39 tff(10472,plain,
% 7.48/5.39 ((~(v111(constB111) <=> v26(constB111))) | (~v111(constB111))),
% 7.48/5.39 inference(unit_resolution,[status(thm)],[10471, 10470])).
% 7.48/5.39 tff(10473,plain,
% 7.48/5.39 (~v111(constB111)),
% 7.48/5.39 inference(unit_resolution,[status(thm)],[10472, 10468])).
% 7.48/5.39 tff(10474,plain,
% 7.48/5.39 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB111) | (~(((~v127(constB111, bitIndex2)) <=> v130(constB111, bitIndex2)) | ((~v127(constB111, bitIndex1)) <=> v130(constB111, bitIndex1)) | ((~v127(constB111, bitIndex0)) <=> v130(constB111, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB111) | (~(((~v127(constB111, bitIndex2)) <=> v130(constB111, bitIndex2)) | ((~v127(constB111, bitIndex1)) <=> v130(constB111, bitIndex1)) | ((~v127(constB111, bitIndex0)) <=> v130(constB111, bitIndex0)))))),
% 7.48/5.39 inference(rewrite,[status(thm)],[])).
% 7.48/5.39 tff(10475,plain,
% 7.48/5.39 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB111) | (~(((~v127(constB111, bitIndex2)) <=> v130(constB111, bitIndex2)) | ((~v127(constB111, bitIndex1)) <=> v130(constB111, bitIndex1)) | ((~v127(constB111, bitIndex0)) <=> v130(constB111, bitIndex0)))))),
% 7.48/5.39 inference(quant_inst,[status(thm)],[])).
% 7.48/5.39 tff(10476,plain,
% 7.48/5.39 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB111) | (~(((~v127(constB111, bitIndex2)) <=> v130(constB111, bitIndex2)) | ((~v127(constB111, bitIndex1)) <=> v130(constB111, bitIndex1)) | ((~v127(constB111, bitIndex0)) <=> v130(constB111, bitIndex0))))),
% 7.48/5.39 inference(modus_ponens,[status(thm)],[10475, 10474])).
% 7.48/5.39 tff(10477,plain,
% 7.48/5.39 (v111(constB111) | (~(((~v127(constB111, bitIndex2)) <=> v130(constB111, bitIndex2)) | ((~v127(constB111, bitIndex1)) <=> v130(constB111, bitIndex1)) | ((~v127(constB111, bitIndex0)) <=> v130(constB111, bitIndex0))))),
% 7.48/5.39 inference(unit_resolution,[status(thm)],[10476, 566])).
% 7.48/5.39 tff(10478,plain,
% 7.48/5.39 (~(((~v127(constB111, bitIndex2)) <=> v130(constB111, bitIndex2)) | ((~v127(constB111, bitIndex1)) <=> v130(constB111, bitIndex1)) | ((~v127(constB111, bitIndex0)) <=> v130(constB111, bitIndex0)))),
% 7.48/5.39 inference(unit_resolution,[status(thm)],[10477, 10473])).
% 7.48/5.39 tff(10479,plain,
% 7.48/5.39 ((((~v127(constB111, bitIndex2)) <=> v130(constB111, bitIndex2)) | ((~v127(constB111, bitIndex1)) <=> v130(constB111, bitIndex1)) | ((~v127(constB111, bitIndex0)) <=> v130(constB111, bitIndex0))) | (~((~v127(constB111, bitIndex2)) <=> v130(constB111, bitIndex2)))),
% 7.48/5.39 inference(tautology,[status(thm)],[])).
% 7.48/5.39 tff(10480,plain,
% 7.48/5.39 (~((~v127(constB111, bitIndex2)) <=> v130(constB111, bitIndex2))),
% 7.48/5.39 inference(unit_resolution,[status(thm)],[10479, 10478])).
% 7.48/5.39 tff(10481,plain,
% 7.48/5.39 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB111) <=> (~(v90(constB111, bitIndex2) | (~v90(constB111, bitIndex1)) | (~v90(constB111, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB111) <=> (~(v90(constB111, bitIndex2) | (~v90(constB111, bitIndex1)) | (~v90(constB111, bitIndex0))))))),
% 7.48/5.39 inference(rewrite,[status(thm)],[])).
% 7.48/5.39 tff(10482,plain,
% 7.48/5.39 ((v122(constB111) <=> (~(v90(constB111, bitIndex2) | (~v90(constB111, bitIndex0)) | (~v90(constB111, bitIndex1))))) <=> (v122(constB111) <=> (~(v90(constB111, bitIndex2) | (~v90(constB111, bitIndex1)) | (~v90(constB111, bitIndex0)))))),
% 7.48/5.39 inference(rewrite,[status(thm)],[])).
% 7.48/5.39 tff(10483,plain,
% 7.48/5.39 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB111) <=> (~(v90(constB111, bitIndex2) | (~v90(constB111, bitIndex0)) | (~v90(constB111, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB111) <=> (~(v90(constB111, bitIndex2) | (~v90(constB111, bitIndex1)) | (~v90(constB111, bitIndex0))))))),
% 7.48/5.39 inference(monotonicity,[status(thm)],[10482])).
% 7.48/5.39 tff(10484,plain,
% 7.48/5.39 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB111) <=> (~(v90(constB111, bitIndex2) | (~v90(constB111, bitIndex0)) | (~v90(constB111, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB111) <=> (~(v90(constB111, bitIndex2) | (~v90(constB111, bitIndex1)) | (~v90(constB111, bitIndex0))))))),
% 7.48/5.39 inference(transitivity,[status(thm)],[10483, 10481])).
% 7.48/5.39 tff(10485,plain,
% 7.48/5.39 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB111) <=> (~(v90(constB111, bitIndex2) | (~v90(constB111, bitIndex0)) | (~v90(constB111, bitIndex1)))))),
% 7.48/5.39 inference(quant_inst,[status(thm)],[])).
% 7.48/5.39 tff(10486,plain,
% 7.48/5.39 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB111) <=> (~(v90(constB111, bitIndex2) | (~v90(constB111, bitIndex1)) | (~v90(constB111, bitIndex0)))))),
% 7.48/5.39 inference(modus_ponens,[status(thm)],[10485, 10484])).
% 7.48/5.39 tff(10487,plain,
% 7.48/5.39 (v122(constB111) <=> (~(v90(constB111, bitIndex2) | (~v90(constB111, bitIndex1)) | (~v90(constB111, bitIndex0))))),
% 7.48/5.39 inference(unit_resolution,[status(thm)],[10486, 879])).
% 7.48/5.39 tff(10488,plain,
% 7.48/5.39 (nextState(constB110, constB111) <=> nextState(constB110, constB111)),
% 7.48/5.39 inference(rewrite,[status(thm)],[])).
% 7.48/5.39 tff(10489,axiom,(nextState(constB110, constB111)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_110')).
% 7.48/5.39 tff(10490,plain,
% 7.48/5.39 (nextState(constB110, constB111)),
% 7.48/5.39 inference(modus_ponens,[status(thm)],[10489, 10488])).
% 7.48/5.39 tff(10491,plain,
% 7.48/5.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB110, constB111)) | (v100(constB111) <=> (~((~v101(constB111)) | (~v110(constB111))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB110, constB111)) | (v100(constB111) <=> (~((~v101(constB111)) | (~v110(constB111))))))),
% 7.48/5.39 inference(rewrite,[status(thm)],[])).
% 7.48/5.39 tff(10492,plain,
% 7.48/5.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB110, constB111)) | (v100(constB111) <=> (~((~v101(constB111)) | (~v110(constB111))))))),
% 7.48/5.39 inference(quant_inst,[status(thm)],[])).
% 7.48/5.39 tff(10493,plain,
% 7.48/5.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB110, constB111)) | (v100(constB111) <=> (~((~v101(constB111)) | (~v110(constB111)))))),
% 7.48/5.39 inference(modus_ponens,[status(thm)],[10492, 10491])).
% 7.48/5.39 tff(10494,plain,
% 7.48/5.39 (v100(constB111) <=> (~((~v101(constB111)) | (~v110(constB111))))),
% 7.48/5.39 inference(unit_resolution,[status(thm)],[10493, 10490, 445])).
% 7.48/5.39 tff(10495,plain,
% 7.48/5.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB110, constB111)) | (v101(constB111) <=> (~((~v1(constB111)) | (~v102(constB111))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB110, constB111)) | (v101(constB111) <=> (~((~v1(constB111)) | (~v102(constB111))))))),
% 7.48/5.39 inference(rewrite,[status(thm)],[])).
% 7.48/5.39 tff(10496,plain,
% 7.48/5.39 (((~nextState(constB110, constB111)) | (v101(constB111) <=> (~((~v102(constB111)) | (~v1(constB111)))))) <=> ((~nextState(constB110, constB111)) | (v101(constB111) <=> (~((~v1(constB111)) | (~v102(constB111))))))),
% 7.48/5.39 inference(rewrite,[status(thm)],[])).
% 7.48/5.39 tff(10497,plain,
% 7.48/5.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB110, constB111)) | (v101(constB111) <=> (~((~v102(constB111)) | (~v1(constB111))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB110, constB111)) | (v101(constB111) <=> (~((~v1(constB111)) | (~v102(constB111)))))))),
% 7.48/5.39 inference(monotonicity,[status(thm)],[10496])).
% 7.48/5.39 tff(10498,plain,
% 7.48/5.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB110, constB111)) | (v101(constB111) <=> (~((~v102(constB111)) | (~v1(constB111))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB110, constB111)) | (v101(constB111) <=> (~((~v1(constB111)) | (~v102(constB111))))))),
% 7.48/5.39 inference(transitivity,[status(thm)],[10497, 10495])).
% 7.48/5.39 tff(10499,plain,
% 7.48/5.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB110, constB111)) | (v101(constB111) <=> (~((~v102(constB111)) | (~v1(constB111))))))),
% 7.48/5.39 inference(quant_inst,[status(thm)],[])).
% 7.48/5.39 tff(10500,plain,
% 7.48/5.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB110, constB111)) | (v101(constB111) <=> (~((~v1(constB111)) | (~v102(constB111)))))),
% 7.48/5.39 inference(modus_ponens,[status(thm)],[10499, 10498])).
% 7.48/5.39 tff(10501,plain,
% 7.48/5.39 (v101(constB111) <=> (~((~v1(constB111)) | (~v102(constB111))))),
% 7.48/5.39 inference(unit_resolution,[status(thm)],[10500, 10490, 465])).
% 7.48/5.39 tff(10502,plain,
% 7.48/5.39 ((~v1(constB111)) <=> (~v1(constB111))),
% 7.48/5.39 inference(rewrite,[status(thm)],[])).
% 7.48/5.39 tff(10503,axiom,(~v1(constB111)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_111')).
% 7.48/5.39 tff(10504,plain,
% 7.48/5.39 (~v1(constB111)),
% 7.48/5.39 inference(modus_ponens,[status(thm)],[10503, 10502])).
% 7.48/5.39 tff(10505,plain,
% 7.48/5.39 (((~v1(constB111)) | (~v102(constB111))) | v1(constB111)),
% 7.48/5.39 inference(tautology,[status(thm)],[])).
% 7.48/5.39 tff(10506,plain,
% 7.48/5.39 ((~v1(constB111)) | (~v102(constB111))),
% 7.48/5.40 inference(unit_resolution,[status(thm)],[10505, 10504])).
% 7.48/5.40 tff(10507,plain,
% 7.48/5.40 ((~(v101(constB111) <=> (~((~v1(constB111)) | (~v102(constB111)))))) | (~v101(constB111)) | (~((~v1(constB111)) | (~v102(constB111))))),
% 7.48/5.40 inference(tautology,[status(thm)],[])).
% 7.48/5.40 tff(10508,plain,
% 7.48/5.40 ((~(v101(constB111) <=> (~((~v1(constB111)) | (~v102(constB111)))))) | (~v101(constB111))),
% 7.48/5.40 inference(unit_resolution,[status(thm)],[10507, 10506])).
% 7.48/5.40 tff(10509,plain,
% 7.48/5.40 (~v101(constB111)),
% 7.48/5.40 inference(unit_resolution,[status(thm)],[10508, 10501])).
% 7.48/5.40 tff(10510,plain,
% 7.48/5.40 (((~v101(constB111)) | (~v110(constB111))) | v101(constB111)),
% 7.48/5.40 inference(tautology,[status(thm)],[])).
% 7.48/5.40 tff(10511,plain,
% 7.48/5.40 ((~v101(constB111)) | (~v110(constB111))),
% 7.48/5.40 inference(unit_resolution,[status(thm)],[10510, 10509])).
% 7.48/5.40 tff(10512,plain,
% 7.48/5.40 ((~(v100(constB111) <=> (~((~v101(constB111)) | (~v110(constB111)))))) | (~v100(constB111)) | (~((~v101(constB111)) | (~v110(constB111))))),
% 7.48/5.40 inference(tautology,[status(thm)],[])).
% 7.48/5.40 tff(10513,plain,
% 7.48/5.40 (~v100(constB111)),
% 7.48/5.40 inference(unit_resolution,[status(thm)],[10512, 10511, 10494])).
% 7.48/5.40 tff(10514,plain,
% 7.48/5.40 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB111) | (~nextState(constB110, constB111)) | (~(((~v90(constB111, bitIndex1)) <=> v90(constB110, bitIndex1)) | ((~v90(constB111, bitIndex2)) <=> v90(constB110, bitIndex2)) | ((~v90(constB111, bitIndex0)) <=> v90(constB110, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB111) | (~nextState(constB110, constB111)) | (~(((~v90(constB111, bitIndex1)) <=> v90(constB110, bitIndex1)) | ((~v90(constB111, bitIndex2)) <=> v90(constB110, bitIndex2)) | ((~v90(constB111, bitIndex0)) <=> v90(constB110, bitIndex0)))))),
% 7.48/5.40 inference(rewrite,[status(thm)],[])).
% 7.48/5.40 tff(10515,plain,
% 7.48/5.40 ((v100(constB111) | (~nextState(constB110, constB111)) | (~(((~v90(constB111, bitIndex2)) <=> v90(constB110, bitIndex2)) | ((~v90(constB111, bitIndex1)) <=> v90(constB110, bitIndex1)) | ((~v90(constB111, bitIndex0)) <=> v90(constB110, bitIndex0))))) <=> (v100(constB111) | (~nextState(constB110, constB111)) | (~(((~v90(constB111, bitIndex1)) <=> v90(constB110, bitIndex1)) | ((~v90(constB111, bitIndex2)) <=> v90(constB110, bitIndex2)) | ((~v90(constB111, bitIndex0)) <=> v90(constB110, bitIndex0)))))),
% 7.48/5.40 inference(rewrite,[status(thm)],[])).
% 7.48/5.40 tff(10516,plain,
% 7.48/5.40 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB111) | (~nextState(constB110, constB111)) | (~(((~v90(constB111, bitIndex2)) <=> v90(constB110, bitIndex2)) | ((~v90(constB111, bitIndex1)) <=> v90(constB110, bitIndex1)) | ((~v90(constB111, bitIndex0)) <=> v90(constB110, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB111) | (~nextState(constB110, constB111)) | (~(((~v90(constB111, bitIndex1)) <=> v90(constB110, bitIndex1)) | ((~v90(constB111, bitIndex2)) <=> v90(constB110, bitIndex2)) | ((~v90(constB111, bitIndex0)) <=> v90(constB110, bitIndex0))))))),
% 7.48/5.40 inference(monotonicity,[status(thm)],[10515])).
% 7.48/5.40 tff(10517,plain,
% 7.48/5.40 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB111) | (~nextState(constB110, constB111)) | (~(((~v90(constB111, bitIndex2)) <=> v90(constB110, bitIndex2)) | ((~v90(constB111, bitIndex1)) <=> v90(constB110, bitIndex1)) | ((~v90(constB111, bitIndex0)) <=> v90(constB110, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB111) | (~nextState(constB110, constB111)) | (~(((~v90(constB111, bitIndex1)) <=> v90(constB110, bitIndex1)) | ((~v90(constB111, bitIndex2)) <=> v90(constB110, bitIndex2)) | ((~v90(constB111, bitIndex0)) <=> v90(constB110, bitIndex0)))))),
% 7.48/5.40 inference(transitivity,[status(thm)],[10516, 10514])).
% 7.48/5.40 tff(10518,plain,
% 7.48/5.40 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB111) | (~nextState(constB110, constB111)) | (~(((~v90(constB111, bitIndex2)) <=> v90(constB110, bitIndex2)) | ((~v90(constB111, bitIndex1)) <=> v90(constB110, bitIndex1)) | ((~v90(constB111, bitIndex0)) <=> v90(constB110, bitIndex0)))))),
% 7.48/5.40 inference(quant_inst,[status(thm)],[])).
% 7.48/5.40 tff(10519,plain,
% 7.48/5.40 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB111) | (~nextState(constB110, constB111)) | (~(((~v90(constB111, bitIndex1)) <=> v90(constB110, bitIndex1)) | ((~v90(constB111, bitIndex2)) <=> v90(constB110, bitIndex2)) | ((~v90(constB111, bitIndex0)) <=> v90(constB110, bitIndex0))))),
% 7.48/5.40 inference(modus_ponens,[status(thm)],[10518, 10517])).
% 7.48/5.40 tff(10520,plain,
% 7.48/5.40 (v100(constB111) | (~(((~v90(constB111, bitIndex1)) <=> v90(constB110, bitIndex1)) | ((~v90(constB111, bitIndex2)) <=> v90(constB110, bitIndex2)) | ((~v90(constB111, bitIndex0)) <=> v90(constB110, bitIndex0))))),
% 7.48/5.40 inference(unit_resolution,[status(thm)],[10519, 10490, 494])).
% 7.48/5.40 tff(10521,plain,
% 7.48/5.40 (~(((~v90(constB111, bitIndex1)) <=> v90(constB110, bitIndex1)) | ((~v90(constB111, bitIndex2)) <=> v90(constB110, bitIndex2)) | ((~v90(constB111, bitIndex0)) <=> v90(constB110, bitIndex0)))),
% 7.48/5.40 inference(unit_resolution,[status(thm)],[10520, 10513])).
% 7.48/5.40 tff(10522,plain,
% 7.48/5.40 ((((~v90(constB111, bitIndex1)) <=> v90(constB110, bitIndex1)) | ((~v90(constB111, bitIndex2)) <=> v90(constB110, bitIndex2)) | ((~v90(constB111, bitIndex0)) <=> v90(constB110, bitIndex0))) | (~((~v90(constB111, bitIndex2)) <=> v90(constB110, bitIndex2)))),
% 7.48/5.40 inference(tautology,[status(thm)],[])).
% 7.48/5.40 tff(10523,plain,
% 7.48/5.40 (~((~v90(constB111, bitIndex2)) <=> v90(constB110, bitIndex2))),
% 7.48/5.40 inference(unit_resolution,[status(thm)],[10522, 10521])).
% 7.48/5.40 tff(10524,plain,
% 7.48/5.40 (nextState(constB109, constB110) <=> nextState(constB109, constB110)),
% 7.48/5.40 inference(rewrite,[status(thm)],[])).
% 7.48/5.40 tff(10525,axiom,(nextState(constB109, constB110)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_109')).
% 7.48/5.40 tff(10526,plain,
% 7.48/5.40 (nextState(constB109, constB110)),
% 7.48/5.40 inference(modus_ponens,[status(thm)],[10525, 10524])).
% 7.48/5.40 tff(10527,plain,
% 7.48/5.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB109, constB110)) | (~(((~v129(constB110, bitIndex2)) <=> v127(constB109, bitIndex2)) | ((~v129(constB110, bitIndex1)) <=> v127(constB109, bitIndex1)) | ((~v129(constB110, bitIndex0)) <=> v127(constB109, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB109, constB110)) | (~(((~v129(constB110, bitIndex2)) <=> v127(constB109, bitIndex2)) | ((~v129(constB110, bitIndex1)) <=> v127(constB109, bitIndex1)) | ((~v129(constB110, bitIndex0)) <=> v127(constB109, bitIndex0)))))),
% 7.48/5.40 inference(rewrite,[status(thm)],[])).
% 7.48/5.40 tff(10528,plain,
% 7.48/5.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB109, constB110)) | (~(((~v129(constB110, bitIndex2)) <=> v127(constB109, bitIndex2)) | ((~v129(constB110, bitIndex1)) <=> v127(constB109, bitIndex1)) | ((~v129(constB110, bitIndex0)) <=> v127(constB109, bitIndex0)))))),
% 7.48/5.40 inference(quant_inst,[status(thm)],[])).
% 7.48/5.40 tff(10529,plain,
% 7.48/5.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB109, constB110)) | (~(((~v129(constB110, bitIndex2)) <=> v127(constB109, bitIndex2)) | ((~v129(constB110, bitIndex1)) <=> v127(constB109, bitIndex1)) | ((~v129(constB110, bitIndex0)) <=> v127(constB109, bitIndex0))))),
% 7.48/5.40 inference(modus_ponens,[status(thm)],[10528, 10527])).
% 7.48/5.40 tff(10530,plain,
% 7.48/5.40 (~(((~v129(constB110, bitIndex2)) <=> v127(constB109, bitIndex2)) | ((~v129(constB110, bitIndex1)) <=> v127(constB109, bitIndex1)) | ((~v129(constB110, bitIndex0)) <=> v127(constB109, bitIndex0)))),
% 7.48/5.40 inference(unit_resolution,[status(thm)],[10529, 10526, 517])).
% 7.48/5.40 tff(10531,plain,
% 7.48/5.40 ((((~v129(constB110, bitIndex2)) <=> v127(constB109, bitIndex2)) | ((~v129(constB110, bitIndex1)) <=> v127(constB109, bitIndex1)) | ((~v129(constB110, bitIndex0)) <=> v127(constB109, bitIndex0))) | (~((~v129(constB110, bitIndex2)) <=> v127(constB109, bitIndex2)))),
% 7.48/5.40 inference(tautology,[status(thm)],[])).
% 7.48/5.40 tff(10532,plain,
% 7.48/5.40 (~((~v129(constB110, bitIndex2)) <=> v127(constB109, bitIndex2))),
% 7.48/5.40 inference(unit_resolution,[status(thm)],[10531, 10530])).
% 7.48/5.40 tff(10533,plain,
% 7.48/5.40 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB109) <=> v26(constB109))),
% 7.48/5.40 inference(quant_inst,[status(thm)],[])).
% 7.48/5.40 tff(10534,plain,
% 7.48/5.40 (v111(constB109) <=> v26(constB109)),
% 7.48/5.40 inference(unit_resolution,[status(thm)],[10533, 536])).
% 7.48/5.40 tff(10535,plain,
% 7.48/5.40 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB109))),
% 7.48/5.40 inference(quant_inst,[status(thm)],[])).
% 7.48/5.40 tff(10536,plain,
% 7.48/5.40 (~v26(constB109)),
% 7.48/5.40 inference(unit_resolution,[status(thm)],[10535, 548])).
% 7.48/5.40 tff(10537,plain,
% 7.48/5.40 ((~(v111(constB109) <=> v26(constB109))) | (~v111(constB109)) | v26(constB109)),
% 7.48/5.40 inference(tautology,[status(thm)],[])).
% 7.48/5.40 tff(10538,plain,
% 7.48/5.40 ((~(v111(constB109) <=> v26(constB109))) | (~v111(constB109))),
% 7.48/5.40 inference(unit_resolution,[status(thm)],[10537, 10536])).
% 7.48/5.40 tff(10539,plain,
% 7.48/5.40 (~v111(constB109)),
% 7.48/5.40 inference(unit_resolution,[status(thm)],[10538, 10534])).
% 7.48/5.40 tff(10540,plain,
% 7.48/5.40 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB109) | (~(((~v127(constB109, bitIndex2)) <=> v130(constB109, bitIndex2)) | ((~v127(constB109, bitIndex1)) <=> v130(constB109, bitIndex1)) | ((~v127(constB109, bitIndex0)) <=> v130(constB109, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB109) | (~(((~v127(constB109, bitIndex2)) <=> v130(constB109, bitIndex2)) | ((~v127(constB109, bitIndex1)) <=> v130(constB109, bitIndex1)) | ((~v127(constB109, bitIndex0)) <=> v130(constB109, bitIndex0)))))),
% 7.48/5.40 inference(rewrite,[status(thm)],[])).
% 7.48/5.40 tff(10541,plain,
% 7.48/5.40 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB109) | (~(((~v127(constB109, bitIndex2)) <=> v130(constB109, bitIndex2)) | ((~v127(constB109, bitIndex1)) <=> v130(constB109, bitIndex1)) | ((~v127(constB109, bitIndex0)) <=> v130(constB109, bitIndex0)))))),
% 7.48/5.40 inference(quant_inst,[status(thm)],[])).
% 7.48/5.40 tff(10542,plain,
% 7.48/5.40 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB109) | (~(((~v127(constB109, bitIndex2)) <=> v130(constB109, bitIndex2)) | ((~v127(constB109, bitIndex1)) <=> v130(constB109, bitIndex1)) | ((~v127(constB109, bitIndex0)) <=> v130(constB109, bitIndex0))))),
% 7.48/5.40 inference(modus_ponens,[status(thm)],[10541, 10540])).
% 7.48/5.40 tff(10543,plain,
% 7.48/5.40 (v111(constB109) | (~(((~v127(constB109, bitIndex2)) <=> v130(constB109, bitIndex2)) | ((~v127(constB109, bitIndex1)) <=> v130(constB109, bitIndex1)) | ((~v127(constB109, bitIndex0)) <=> v130(constB109, bitIndex0))))),
% 7.48/5.40 inference(unit_resolution,[status(thm)],[10542, 566])).
% 7.48/5.40 tff(10544,plain,
% 7.48/5.40 (~(((~v127(constB109, bitIndex2)) <=> v130(constB109, bitIndex2)) | ((~v127(constB109, bitIndex1)) <=> v130(constB109, bitIndex1)) | ((~v127(constB109, bitIndex0)) <=> v130(constB109, bitIndex0)))),
% 7.48/5.40 inference(unit_resolution,[status(thm)],[10543, 10539])).
% 7.48/5.40 tff(10545,plain,
% 7.48/5.40 ((((~v127(constB109, bitIndex2)) <=> v130(constB109, bitIndex2)) | ((~v127(constB109, bitIndex1)) <=> v130(constB109, bitIndex1)) | ((~v127(constB109, bitIndex0)) <=> v130(constB109, bitIndex0))) | (~((~v127(constB109, bitIndex2)) <=> v130(constB109, bitIndex2)))),
% 7.48/5.40 inference(tautology,[status(thm)],[])).
% 7.48/5.40 tff(10546,plain,
% 7.48/5.40 (~((~v127(constB109, bitIndex2)) <=> v130(constB109, bitIndex2))),
% 7.48/5.40 inference(unit_resolution,[status(thm)],[10545, 10544])).
% 7.48/5.40 tff(10547,plain,
% 7.48/5.40 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB109) <=> (~(v90(constB109, bitIndex2) | v90(constB109, bitIndex0) | (~v90(constB109, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB109) <=> (~(v90(constB109, bitIndex2) | v90(constB109, bitIndex0) | (~v90(constB109, bitIndex1))))))),
% 7.48/5.40 inference(rewrite,[status(thm)],[])).
% 7.48/5.40 tff(10548,plain,
% 7.48/5.40 ((v121(constB109) <=> (~(v90(constB109, bitIndex0) | v90(constB109, bitIndex2) | (~v90(constB109, bitIndex1))))) <=> (v121(constB109) <=> (~(v90(constB109, bitIndex2) | v90(constB109, bitIndex0) | (~v90(constB109, bitIndex1)))))),
% 7.48/5.40 inference(rewrite,[status(thm)],[])).
% 7.48/5.40 tff(10549,plain,
% 7.48/5.40 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB109) <=> (~(v90(constB109, bitIndex0) | v90(constB109, bitIndex2) | (~v90(constB109, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB109) <=> (~(v90(constB109, bitIndex2) | v90(constB109, bitIndex0) | (~v90(constB109, bitIndex1))))))),
% 7.48/5.40 inference(monotonicity,[status(thm)],[10548])).
% 7.48/5.40 tff(10550,plain,
% 7.48/5.40 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB109) <=> (~(v90(constB109, bitIndex0) | v90(constB109, bitIndex2) | (~v90(constB109, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB109) <=> (~(v90(constB109, bitIndex2) | v90(constB109, bitIndex0) | (~v90(constB109, bitIndex1))))))),
% 7.48/5.40 inference(transitivity,[status(thm)],[10549, 10547])).
% 7.48/5.40 tff(10551,plain,
% 7.48/5.40 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB109) <=> (~(v90(constB109, bitIndex0) | v90(constB109, bitIndex2) | (~v90(constB109, bitIndex1)))))),
% 7.48/5.40 inference(quant_inst,[status(thm)],[])).
% 7.48/5.40 tff(10552,plain,
% 7.48/5.40 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB109) <=> (~(v90(constB109, bitIndex2) | v90(constB109, bitIndex0) | (~v90(constB109, bitIndex1)))))),
% 7.48/5.40 inference(modus_ponens,[status(thm)],[10551, 10550])).
% 7.48/5.40 tff(10553,plain,
% 7.48/5.40 (v121(constB109) <=> (~(v90(constB109, bitIndex2) | v90(constB109, bitIndex0) | (~v90(constB109, bitIndex1))))),
% 7.48/5.40 inference(unit_resolution,[status(thm)],[10552, 586])).
% 7.48/5.40 tff(10554,plain,
% 7.48/5.40 (nextState(constB108, constB109) <=> nextState(constB108, constB109)),
% 7.48/5.40 inference(rewrite,[status(thm)],[])).
% 7.48/5.40 tff(10555,axiom,(nextState(constB108, constB109)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_108')).
% 7.48/5.40 tff(10556,plain,
% 7.48/5.40 (nextState(constB108, constB109)),
% 7.48/5.40 inference(modus_ponens,[status(thm)],[10555, 10554])).
% 7.48/5.40 tff(10557,plain,
% 7.48/5.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB108, constB109)) | (v100(constB109) <=> (~((~v101(constB109)) | (~v110(constB109))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB108, constB109)) | (v100(constB109) <=> (~((~v101(constB109)) | (~v110(constB109))))))),
% 7.48/5.40 inference(rewrite,[status(thm)],[])).
% 7.48/5.40 tff(10558,plain,
% 7.48/5.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB108, constB109)) | (v100(constB109) <=> (~((~v101(constB109)) | (~v110(constB109))))))),
% 7.48/5.40 inference(quant_inst,[status(thm)],[])).
% 7.48/5.40 tff(10559,plain,
% 7.48/5.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB108, constB109)) | (v100(constB109) <=> (~((~v101(constB109)) | (~v110(constB109)))))),
% 7.48/5.40 inference(modus_ponens,[status(thm)],[10558, 10557])).
% 7.48/5.40 tff(10560,plain,
% 7.48/5.40 (v100(constB109) <=> (~((~v101(constB109)) | (~v110(constB109))))),
% 7.48/5.40 inference(unit_resolution,[status(thm)],[10559, 10556, 445])).
% 7.48/5.40 tff(10561,plain,
% 7.48/5.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB108, constB109)) | (v101(constB109) <=> (~((~v1(constB109)) | (~v102(constB109))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB108, constB109)) | (v101(constB109) <=> (~((~v1(constB109)) | (~v102(constB109))))))),
% 7.48/5.40 inference(rewrite,[status(thm)],[])).
% 7.48/5.40 tff(10562,plain,
% 7.48/5.40 (((~nextState(constB108, constB109)) | (v101(constB109) <=> (~((~v102(constB109)) | (~v1(constB109)))))) <=> ((~nextState(constB108, constB109)) | (v101(constB109) <=> (~((~v1(constB109)) | (~v102(constB109))))))),
% 7.48/5.40 inference(rewrite,[status(thm)],[])).
% 7.48/5.40 tff(10563,plain,
% 7.48/5.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB108, constB109)) | (v101(constB109) <=> (~((~v102(constB109)) | (~v1(constB109))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB108, constB109)) | (v101(constB109) <=> (~((~v1(constB109)) | (~v102(constB109)))))))),
% 7.48/5.40 inference(monotonicity,[status(thm)],[10562])).
% 7.48/5.40 tff(10564,plain,
% 7.48/5.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB108, constB109)) | (v101(constB109) <=> (~((~v102(constB109)) | (~v1(constB109))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB108, constB109)) | (v101(constB109) <=> (~((~v1(constB109)) | (~v102(constB109))))))),
% 7.48/5.40 inference(transitivity,[status(thm)],[10563, 10561])).
% 7.48/5.40 tff(10565,plain,
% 7.48/5.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB108, constB109)) | (v101(constB109) <=> (~((~v102(constB109)) | (~v1(constB109))))))),
% 7.48/5.40 inference(quant_inst,[status(thm)],[])).
% 7.48/5.40 tff(10566,plain,
% 7.48/5.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB108, constB109)) | (v101(constB109) <=> (~((~v1(constB109)) | (~v102(constB109)))))),
% 7.48/5.40 inference(modus_ponens,[status(thm)],[10565, 10564])).
% 7.48/5.40 tff(10567,plain,
% 7.48/5.40 (v101(constB109) <=> (~((~v1(constB109)) | (~v102(constB109))))),
% 7.48/5.40 inference(unit_resolution,[status(thm)],[10566, 10556, 465])).
% 7.48/5.40 tff(10568,plain,
% 7.48/5.40 ((~v1(constB109)) <=> (~v1(constB109))),
% 7.48/5.40 inference(rewrite,[status(thm)],[])).
% 7.48/5.40 tff(10569,axiom,(~v1(constB109)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_109')).
% 7.48/5.40 tff(10570,plain,
% 7.48/5.40 (~v1(constB109)),
% 7.48/5.40 inference(modus_ponens,[status(thm)],[10569, 10568])).
% 7.48/5.40 tff(10571,plain,
% 7.48/5.40 (((~v1(constB109)) | (~v102(constB109))) | v1(constB109)),
% 7.48/5.40 inference(tautology,[status(thm)],[])).
% 7.48/5.40 tff(10572,plain,
% 7.48/5.40 ((~v1(constB109)) | (~v102(constB109))),
% 7.48/5.40 inference(unit_resolution,[status(thm)],[10571, 10570])).
% 7.48/5.40 tff(10573,plain,
% 7.48/5.40 ((~(v101(constB109) <=> (~((~v1(constB109)) | (~v102(constB109)))))) | (~v101(constB109)) | (~((~v1(constB109)) | (~v102(constB109))))),
% 7.48/5.40 inference(tautology,[status(thm)],[])).
% 7.48/5.40 tff(10574,plain,
% 7.48/5.40 ((~(v101(constB109) <=> (~((~v1(constB109)) | (~v102(constB109)))))) | (~v101(constB109))),
% 7.48/5.40 inference(unit_resolution,[status(thm)],[10573, 10572])).
% 7.48/5.40 tff(10575,plain,
% 7.48/5.40 (~v101(constB109)),
% 7.48/5.40 inference(unit_resolution,[status(thm)],[10574, 10567])).
% 7.48/5.40 tff(10576,plain,
% 7.48/5.40 (((~v101(constB109)) | (~v110(constB109))) | v101(constB109)),
% 7.48/5.40 inference(tautology,[status(thm)],[])).
% 7.48/5.40 tff(10577,plain,
% 7.48/5.40 ((~v101(constB109)) | (~v110(constB109))),
% 7.48/5.40 inference(unit_resolution,[status(thm)],[10576, 10575])).
% 7.48/5.40 tff(10578,plain,
% 7.48/5.40 ((~(v100(constB109) <=> (~((~v101(constB109)) | (~v110(constB109)))))) | (~v100(constB109)) | (~((~v101(constB109)) | (~v110(constB109))))),
% 7.48/5.40 inference(tautology,[status(thm)],[])).
% 7.48/5.40 tff(10579,plain,
% 7.48/5.40 (~v100(constB109)),
% 7.48/5.40 inference(unit_resolution,[status(thm)],[10578, 10577, 10560])).
% 7.48/5.40 tff(10580,plain,
% 7.48/5.40 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB109) | (~nextState(constB108, constB109)) | (~(((~v90(constB109, bitIndex1)) <=> v90(constB108, bitIndex1)) | ((~v90(constB109, bitIndex2)) <=> v90(constB108, bitIndex2)) | ((~v90(constB109, bitIndex0)) <=> v90(constB108, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB109) | (~nextState(constB108, constB109)) | (~(((~v90(constB109, bitIndex1)) <=> v90(constB108, bitIndex1)) | ((~v90(constB109, bitIndex2)) <=> v90(constB108, bitIndex2)) | ((~v90(constB109, bitIndex0)) <=> v90(constB108, bitIndex0)))))),
% 7.48/5.40 inference(rewrite,[status(thm)],[])).
% 7.48/5.40 tff(10581,plain,
% 7.48/5.40 ((v100(constB109) | (~nextState(constB108, constB109)) | (~(((~v90(constB109, bitIndex2)) <=> v90(constB108, bitIndex2)) | ((~v90(constB109, bitIndex1)) <=> v90(constB108, bitIndex1)) | ((~v90(constB109, bitIndex0)) <=> v90(constB108, bitIndex0))))) <=> (v100(constB109) | (~nextState(constB108, constB109)) | (~(((~v90(constB109, bitIndex1)) <=> v90(constB108, bitIndex1)) | ((~v90(constB109, bitIndex2)) <=> v90(constB108, bitIndex2)) | ((~v90(constB109, bitIndex0)) <=> v90(constB108, bitIndex0)))))),
% 7.48/5.41 inference(rewrite,[status(thm)],[])).
% 7.48/5.41 tff(10582,plain,
% 7.48/5.41 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB109) | (~nextState(constB108, constB109)) | (~(((~v90(constB109, bitIndex2)) <=> v90(constB108, bitIndex2)) | ((~v90(constB109, bitIndex1)) <=> v90(constB108, bitIndex1)) | ((~v90(constB109, bitIndex0)) <=> v90(constB108, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB109) | (~nextState(constB108, constB109)) | (~(((~v90(constB109, bitIndex1)) <=> v90(constB108, bitIndex1)) | ((~v90(constB109, bitIndex2)) <=> v90(constB108, bitIndex2)) | ((~v90(constB109, bitIndex0)) <=> v90(constB108, bitIndex0))))))),
% 7.48/5.41 inference(monotonicity,[status(thm)],[10581])).
% 7.48/5.41 tff(10583,plain,
% 7.48/5.41 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB109) | (~nextState(constB108, constB109)) | (~(((~v90(constB109, bitIndex2)) <=> v90(constB108, bitIndex2)) | ((~v90(constB109, bitIndex1)) <=> v90(constB108, bitIndex1)) | ((~v90(constB109, bitIndex0)) <=> v90(constB108, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB109) | (~nextState(constB108, constB109)) | (~(((~v90(constB109, bitIndex1)) <=> v90(constB108, bitIndex1)) | ((~v90(constB109, bitIndex2)) <=> v90(constB108, bitIndex2)) | ((~v90(constB109, bitIndex0)) <=> v90(constB108, bitIndex0)))))),
% 7.48/5.41 inference(transitivity,[status(thm)],[10582, 10580])).
% 7.48/5.41 tff(10584,plain,
% 7.48/5.41 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB109) | (~nextState(constB108, constB109)) | (~(((~v90(constB109, bitIndex2)) <=> v90(constB108, bitIndex2)) | ((~v90(constB109, bitIndex1)) <=> v90(constB108, bitIndex1)) | ((~v90(constB109, bitIndex0)) <=> v90(constB108, bitIndex0)))))),
% 7.48/5.41 inference(quant_inst,[status(thm)],[])).
% 7.48/5.41 tff(10585,plain,
% 7.48/5.41 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB109) | (~nextState(constB108, constB109)) | (~(((~v90(constB109, bitIndex1)) <=> v90(constB108, bitIndex1)) | ((~v90(constB109, bitIndex2)) <=> v90(constB108, bitIndex2)) | ((~v90(constB109, bitIndex0)) <=> v90(constB108, bitIndex0))))),
% 7.48/5.41 inference(modus_ponens,[status(thm)],[10584, 10583])).
% 7.48/5.41 tff(10586,plain,
% 7.48/5.41 (v100(constB109) | (~(((~v90(constB109, bitIndex1)) <=> v90(constB108, bitIndex1)) | ((~v90(constB109, bitIndex2)) <=> v90(constB108, bitIndex2)) | ((~v90(constB109, bitIndex0)) <=> v90(constB108, bitIndex0))))),
% 7.48/5.41 inference(unit_resolution,[status(thm)],[10585, 10556, 494])).
% 7.48/5.41 tff(10587,plain,
% 7.48/5.41 (~(((~v90(constB109, bitIndex1)) <=> v90(constB108, bitIndex1)) | ((~v90(constB109, bitIndex2)) <=> v90(constB108, bitIndex2)) | ((~v90(constB109, bitIndex0)) <=> v90(constB108, bitIndex0)))),
% 7.48/5.41 inference(unit_resolution,[status(thm)],[10586, 10579])).
% 7.48/5.41 tff(10588,plain,
% 7.48/5.41 ((((~v90(constB109, bitIndex1)) <=> v90(constB108, bitIndex1)) | ((~v90(constB109, bitIndex2)) <=> v90(constB108, bitIndex2)) | ((~v90(constB109, bitIndex0)) <=> v90(constB108, bitIndex0))) | (~((~v90(constB109, bitIndex2)) <=> v90(constB108, bitIndex2)))),
% 7.48/5.41 inference(tautology,[status(thm)],[])).
% 7.48/5.41 tff(10589,plain,
% 7.48/5.41 (~((~v90(constB109, bitIndex2)) <=> v90(constB108, bitIndex2))),
% 7.48/5.41 inference(unit_resolution,[status(thm)],[10588, 10587])).
% 7.48/5.41 tff(10590,plain,
% 7.48/5.41 (nextState(constB107, constB108) <=> nextState(constB107, constB108)),
% 7.48/5.41 inference(rewrite,[status(thm)],[])).
% 7.48/5.41 tff(10591,axiom,(nextState(constB107, constB108)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_107')).
% 7.48/5.41 tff(10592,plain,
% 7.48/5.41 (nextState(constB107, constB108)),
% 7.48/5.41 inference(modus_ponens,[status(thm)],[10591, 10590])).
% 7.48/5.41 tff(10593,plain,
% 7.48/5.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB107, constB108)) | (~(((~v129(constB108, bitIndex2)) <=> v127(constB107, bitIndex2)) | ((~v129(constB108, bitIndex1)) <=> v127(constB107, bitIndex1)) | ((~v129(constB108, bitIndex0)) <=> v127(constB107, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB107, constB108)) | (~(((~v129(constB108, bitIndex2)) <=> v127(constB107, bitIndex2)) | ((~v129(constB108, bitIndex1)) <=> v127(constB107, bitIndex1)) | ((~v129(constB108, bitIndex0)) <=> v127(constB107, bitIndex0)))))),
% 7.48/5.41 inference(rewrite,[status(thm)],[])).
% 7.48/5.41 tff(10594,plain,
% 7.48/5.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB107, constB108)) | (~(((~v129(constB108, bitIndex2)) <=> v127(constB107, bitIndex2)) | ((~v129(constB108, bitIndex1)) <=> v127(constB107, bitIndex1)) | ((~v129(constB108, bitIndex0)) <=> v127(constB107, bitIndex0)))))),
% 7.48/5.41 inference(quant_inst,[status(thm)],[])).
% 7.48/5.41 tff(10595,plain,
% 7.48/5.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB107, constB108)) | (~(((~v129(constB108, bitIndex2)) <=> v127(constB107, bitIndex2)) | ((~v129(constB108, bitIndex1)) <=> v127(constB107, bitIndex1)) | ((~v129(constB108, bitIndex0)) <=> v127(constB107, bitIndex0))))),
% 7.48/5.41 inference(modus_ponens,[status(thm)],[10594, 10593])).
% 7.48/5.41 tff(10596,plain,
% 7.48/5.41 (~(((~v129(constB108, bitIndex2)) <=> v127(constB107, bitIndex2)) | ((~v129(constB108, bitIndex1)) <=> v127(constB107, bitIndex1)) | ((~v129(constB108, bitIndex0)) <=> v127(constB107, bitIndex0)))),
% 7.48/5.41 inference(unit_resolution,[status(thm)],[10595, 10592, 517])).
% 7.48/5.41 tff(10597,plain,
% 7.48/5.41 ((((~v129(constB108, bitIndex2)) <=> v127(constB107, bitIndex2)) | ((~v129(constB108, bitIndex1)) <=> v127(constB107, bitIndex1)) | ((~v129(constB108, bitIndex0)) <=> v127(constB107, bitIndex0))) | (~((~v129(constB108, bitIndex2)) <=> v127(constB107, bitIndex2)))),
% 7.48/5.41 inference(tautology,[status(thm)],[])).
% 7.48/5.41 tff(10598,plain,
% 7.48/5.41 (~((~v129(constB108, bitIndex2)) <=> v127(constB107, bitIndex2))),
% 7.48/5.41 inference(unit_resolution,[status(thm)],[10597, 10596])).
% 7.48/5.41 tff(10599,plain,
% 7.48/5.41 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB107) <=> v26(constB107))),
% 7.48/5.41 inference(quant_inst,[status(thm)],[])).
% 7.48/5.41 tff(10600,plain,
% 7.48/5.41 (v111(constB107) <=> v26(constB107)),
% 7.48/5.41 inference(unit_resolution,[status(thm)],[10599, 536])).
% 7.48/5.41 tff(10601,plain,
% 7.48/5.41 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB107))),
% 7.48/5.41 inference(quant_inst,[status(thm)],[])).
% 7.48/5.41 tff(10602,plain,
% 7.48/5.41 (~v26(constB107)),
% 7.48/5.41 inference(unit_resolution,[status(thm)],[10601, 548])).
% 7.48/5.41 tff(10603,plain,
% 7.48/5.41 ((~(v111(constB107) <=> v26(constB107))) | (~v111(constB107)) | v26(constB107)),
% 7.48/5.41 inference(tautology,[status(thm)],[])).
% 7.48/5.41 tff(10604,plain,
% 7.48/5.41 ((~(v111(constB107) <=> v26(constB107))) | (~v111(constB107))),
% 7.48/5.41 inference(unit_resolution,[status(thm)],[10603, 10602])).
% 7.48/5.41 tff(10605,plain,
% 7.48/5.41 (~v111(constB107)),
% 7.48/5.41 inference(unit_resolution,[status(thm)],[10604, 10600])).
% 7.48/5.41 tff(10606,plain,
% 7.48/5.41 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB107) | (~(((~v127(constB107, bitIndex2)) <=> v130(constB107, bitIndex2)) | ((~v127(constB107, bitIndex1)) <=> v130(constB107, bitIndex1)) | ((~v127(constB107, bitIndex0)) <=> v130(constB107, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB107) | (~(((~v127(constB107, bitIndex2)) <=> v130(constB107, bitIndex2)) | ((~v127(constB107, bitIndex1)) <=> v130(constB107, bitIndex1)) | ((~v127(constB107, bitIndex0)) <=> v130(constB107, bitIndex0)))))),
% 7.48/5.41 inference(rewrite,[status(thm)],[])).
% 7.48/5.41 tff(10607,plain,
% 7.48/5.41 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB107) | (~(((~v127(constB107, bitIndex2)) <=> v130(constB107, bitIndex2)) | ((~v127(constB107, bitIndex1)) <=> v130(constB107, bitIndex1)) | ((~v127(constB107, bitIndex0)) <=> v130(constB107, bitIndex0)))))),
% 7.48/5.41 inference(quant_inst,[status(thm)],[])).
% 7.48/5.41 tff(10608,plain,
% 7.48/5.41 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB107) | (~(((~v127(constB107, bitIndex2)) <=> v130(constB107, bitIndex2)) | ((~v127(constB107, bitIndex1)) <=> v130(constB107, bitIndex1)) | ((~v127(constB107, bitIndex0)) <=> v130(constB107, bitIndex0))))),
% 7.48/5.41 inference(modus_ponens,[status(thm)],[10607, 10606])).
% 7.48/5.41 tff(10609,plain,
% 7.48/5.41 (v111(constB107) | (~(((~v127(constB107, bitIndex2)) <=> v130(constB107, bitIndex2)) | ((~v127(constB107, bitIndex1)) <=> v130(constB107, bitIndex1)) | ((~v127(constB107, bitIndex0)) <=> v130(constB107, bitIndex0))))),
% 7.48/5.41 inference(unit_resolution,[status(thm)],[10608, 566])).
% 7.48/5.41 tff(10610,plain,
% 7.48/5.41 (~(((~v127(constB107, bitIndex2)) <=> v130(constB107, bitIndex2)) | ((~v127(constB107, bitIndex1)) <=> v130(constB107, bitIndex1)) | ((~v127(constB107, bitIndex0)) <=> v130(constB107, bitIndex0)))),
% 7.48/5.41 inference(unit_resolution,[status(thm)],[10609, 10605])).
% 7.48/5.41 tff(10611,plain,
% 7.48/5.41 ((((~v127(constB107, bitIndex2)) <=> v130(constB107, bitIndex2)) | ((~v127(constB107, bitIndex1)) <=> v130(constB107, bitIndex1)) | ((~v127(constB107, bitIndex0)) <=> v130(constB107, bitIndex0))) | (~((~v127(constB107, bitIndex2)) <=> v130(constB107, bitIndex2)))),
% 7.48/5.41 inference(tautology,[status(thm)],[])).
% 7.48/5.41 tff(10612,plain,
% 7.48/5.41 (~((~v127(constB107, bitIndex2)) <=> v130(constB107, bitIndex2))),
% 7.48/5.41 inference(unit_resolution,[status(thm)],[10611, 10610])).
% 7.48/5.41 tff(10613,plain,
% 7.48/5.41 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB107) <=> (~(v90(constB107, bitIndex1) | v90(constB107, bitIndex2) | (~v90(constB107, bitIndex0)))))),
% 7.48/5.41 inference(quant_inst,[status(thm)],[])).
% 7.48/5.41 tff(10614,plain,
% 7.48/5.41 (v120(constB107) <=> (~(v90(constB107, bitIndex1) | v90(constB107, bitIndex2) | (~v90(constB107, bitIndex0))))),
% 7.48/5.41 inference(unit_resolution,[status(thm)],[10613, 665])).
% 7.48/5.41 tff(10615,plain,
% 7.48/5.41 (nextState(constB106, constB107) <=> nextState(constB106, constB107)),
% 7.48/5.41 inference(rewrite,[status(thm)],[])).
% 7.48/5.41 tff(10616,axiom,(nextState(constB106, constB107)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_106')).
% 7.48/5.41 tff(10617,plain,
% 7.48/5.41 (nextState(constB106, constB107)),
% 7.48/5.41 inference(modus_ponens,[status(thm)],[10616, 10615])).
% 7.48/5.41 tff(10618,plain,
% 7.48/5.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB106, constB107)) | (v100(constB107) <=> (~((~v101(constB107)) | (~v110(constB107))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB106, constB107)) | (v100(constB107) <=> (~((~v101(constB107)) | (~v110(constB107))))))),
% 7.48/5.41 inference(rewrite,[status(thm)],[])).
% 7.48/5.41 tff(10619,plain,
% 7.48/5.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB106, constB107)) | (v100(constB107) <=> (~((~v101(constB107)) | (~v110(constB107))))))),
% 7.48/5.41 inference(quant_inst,[status(thm)],[])).
% 7.48/5.41 tff(10620,plain,
% 7.48/5.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB106, constB107)) | (v100(constB107) <=> (~((~v101(constB107)) | (~v110(constB107)))))),
% 7.48/5.41 inference(modus_ponens,[status(thm)],[10619, 10618])).
% 7.48/5.41 tff(10621,plain,
% 7.48/5.41 (v100(constB107) <=> (~((~v101(constB107)) | (~v110(constB107))))),
% 7.48/5.41 inference(unit_resolution,[status(thm)],[10620, 10617, 445])).
% 7.48/5.41 tff(10622,plain,
% 7.48/5.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB106, constB107)) | (v101(constB107) <=> (~((~v1(constB107)) | (~v102(constB107))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB106, constB107)) | (v101(constB107) <=> (~((~v1(constB107)) | (~v102(constB107))))))),
% 7.48/5.41 inference(rewrite,[status(thm)],[])).
% 7.48/5.41 tff(10623,plain,
% 7.48/5.41 (((~nextState(constB106, constB107)) | (v101(constB107) <=> (~((~v102(constB107)) | (~v1(constB107)))))) <=> ((~nextState(constB106, constB107)) | (v101(constB107) <=> (~((~v1(constB107)) | (~v102(constB107))))))),
% 7.48/5.41 inference(rewrite,[status(thm)],[])).
% 7.48/5.41 tff(10624,plain,
% 7.48/5.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB106, constB107)) | (v101(constB107) <=> (~((~v102(constB107)) | (~v1(constB107))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB106, constB107)) | (v101(constB107) <=> (~((~v1(constB107)) | (~v102(constB107)))))))),
% 7.48/5.41 inference(monotonicity,[status(thm)],[10623])).
% 7.48/5.41 tff(10625,plain,
% 7.48/5.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB106, constB107)) | (v101(constB107) <=> (~((~v102(constB107)) | (~v1(constB107))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB106, constB107)) | (v101(constB107) <=> (~((~v1(constB107)) | (~v102(constB107))))))),
% 7.48/5.41 inference(transitivity,[status(thm)],[10624, 10622])).
% 7.48/5.41 tff(10626,plain,
% 7.48/5.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB106, constB107)) | (v101(constB107) <=> (~((~v102(constB107)) | (~v1(constB107))))))),
% 7.48/5.41 inference(quant_inst,[status(thm)],[])).
% 7.48/5.41 tff(10627,plain,
% 7.48/5.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB106, constB107)) | (v101(constB107) <=> (~((~v1(constB107)) | (~v102(constB107)))))),
% 7.48/5.41 inference(modus_ponens,[status(thm)],[10626, 10625])).
% 7.48/5.41 tff(10628,plain,
% 7.48/5.41 (v101(constB107) <=> (~((~v1(constB107)) | (~v102(constB107))))),
% 7.48/5.41 inference(unit_resolution,[status(thm)],[10627, 10617, 465])).
% 7.48/5.41 tff(10629,plain,
% 7.48/5.41 ((~v1(constB107)) <=> (~v1(constB107))),
% 7.48/5.41 inference(rewrite,[status(thm)],[])).
% 7.48/5.41 tff(10630,axiom,(~v1(constB107)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_107')).
% 7.48/5.41 tff(10631,plain,
% 7.48/5.41 (~v1(constB107)),
% 7.48/5.41 inference(modus_ponens,[status(thm)],[10630, 10629])).
% 7.48/5.41 tff(10632,plain,
% 7.48/5.41 (((~v1(constB107)) | (~v102(constB107))) | v1(constB107)),
% 7.48/5.41 inference(tautology,[status(thm)],[])).
% 7.48/5.41 tff(10633,plain,
% 7.48/5.41 ((~v1(constB107)) | (~v102(constB107))),
% 7.48/5.41 inference(unit_resolution,[status(thm)],[10632, 10631])).
% 7.48/5.41 tff(10634,plain,
% 7.48/5.41 ((~(v101(constB107) <=> (~((~v1(constB107)) | (~v102(constB107)))))) | (~v101(constB107)) | (~((~v1(constB107)) | (~v102(constB107))))),
% 7.48/5.41 inference(tautology,[status(thm)],[])).
% 7.48/5.41 tff(10635,plain,
% 7.48/5.41 ((~(v101(constB107) <=> (~((~v1(constB107)) | (~v102(constB107)))))) | (~v101(constB107))),
% 7.48/5.41 inference(unit_resolution,[status(thm)],[10634, 10633])).
% 7.48/5.41 tff(10636,plain,
% 7.48/5.41 (~v101(constB107)),
% 7.48/5.41 inference(unit_resolution,[status(thm)],[10635, 10628])).
% 7.48/5.41 tff(10637,plain,
% 7.48/5.41 (((~v101(constB107)) | (~v110(constB107))) | v101(constB107)),
% 7.48/5.41 inference(tautology,[status(thm)],[])).
% 7.48/5.41 tff(10638,plain,
% 7.48/5.41 ((~v101(constB107)) | (~v110(constB107))),
% 7.48/5.41 inference(unit_resolution,[status(thm)],[10637, 10636])).
% 7.48/5.41 tff(10639,plain,
% 7.48/5.41 ((~(v100(constB107) <=> (~((~v101(constB107)) | (~v110(constB107)))))) | (~v100(constB107)) | (~((~v101(constB107)) | (~v110(constB107))))),
% 7.48/5.41 inference(tautology,[status(thm)],[])).
% 7.48/5.41 tff(10640,plain,
% 7.48/5.41 (~v100(constB107)),
% 7.48/5.41 inference(unit_resolution,[status(thm)],[10639, 10638, 10621])).
% 7.48/5.41 tff(10641,plain,
% 7.48/5.41 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB107) | (~nextState(constB106, constB107)) | (~(((~v90(constB107, bitIndex1)) <=> v90(constB106, bitIndex1)) | ((~v90(constB107, bitIndex2)) <=> v90(constB106, bitIndex2)) | ((~v90(constB107, bitIndex0)) <=> v90(constB106, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB107) | (~nextState(constB106, constB107)) | (~(((~v90(constB107, bitIndex1)) <=> v90(constB106, bitIndex1)) | ((~v90(constB107, bitIndex2)) <=> v90(constB106, bitIndex2)) | ((~v90(constB107, bitIndex0)) <=> v90(constB106, bitIndex0)))))),
% 7.48/5.41 inference(rewrite,[status(thm)],[])).
% 7.48/5.41 tff(10642,plain,
% 7.48/5.41 ((v100(constB107) | (~nextState(constB106, constB107)) | (~(((~v90(constB107, bitIndex2)) <=> v90(constB106, bitIndex2)) | ((~v90(constB107, bitIndex1)) <=> v90(constB106, bitIndex1)) | ((~v90(constB107, bitIndex0)) <=> v90(constB106, bitIndex0))))) <=> (v100(constB107) | (~nextState(constB106, constB107)) | (~(((~v90(constB107, bitIndex1)) <=> v90(constB106, bitIndex1)) | ((~v90(constB107, bitIndex2)) <=> v90(constB106, bitIndex2)) | ((~v90(constB107, bitIndex0)) <=> v90(constB106, bitIndex0)))))),
% 7.48/5.41 inference(rewrite,[status(thm)],[])).
% 7.48/5.41 tff(10643,plain,
% 7.48/5.41 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB107) | (~nextState(constB106, constB107)) | (~(((~v90(constB107, bitIndex2)) <=> v90(constB106, bitIndex2)) | ((~v90(constB107, bitIndex1)) <=> v90(constB106, bitIndex1)) | ((~v90(constB107, bitIndex0)) <=> v90(constB106, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB107) | (~nextState(constB106, constB107)) | (~(((~v90(constB107, bitIndex1)) <=> v90(constB106, bitIndex1)) | ((~v90(constB107, bitIndex2)) <=> v90(constB106, bitIndex2)) | ((~v90(constB107, bitIndex0)) <=> v90(constB106, bitIndex0))))))),
% 7.48/5.41 inference(monotonicity,[status(thm)],[10642])).
% 7.48/5.41 tff(10644,plain,
% 7.48/5.41 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB107) | (~nextState(constB106, constB107)) | (~(((~v90(constB107, bitIndex2)) <=> v90(constB106, bitIndex2)) | ((~v90(constB107, bitIndex1)) <=> v90(constB106, bitIndex1)) | ((~v90(constB107, bitIndex0)) <=> v90(constB106, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB107) | (~nextState(constB106, constB107)) | (~(((~v90(constB107, bitIndex1)) <=> v90(constB106, bitIndex1)) | ((~v90(constB107, bitIndex2)) <=> v90(constB106, bitIndex2)) | ((~v90(constB107, bitIndex0)) <=> v90(constB106, bitIndex0)))))),
% 7.48/5.41 inference(transitivity,[status(thm)],[10643, 10641])).
% 7.48/5.41 tff(10645,plain,
% 7.48/5.41 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB107) | (~nextState(constB106, constB107)) | (~(((~v90(constB107, bitIndex2)) <=> v90(constB106, bitIndex2)) | ((~v90(constB107, bitIndex1)) <=> v90(constB106, bitIndex1)) | ((~v90(constB107, bitIndex0)) <=> v90(constB106, bitIndex0)))))),
% 7.48/5.41 inference(quant_inst,[status(thm)],[])).
% 7.48/5.41 tff(10646,plain,
% 7.48/5.41 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB107) | (~nextState(constB106, constB107)) | (~(((~v90(constB107, bitIndex1)) <=> v90(constB106, bitIndex1)) | ((~v90(constB107, bitIndex2)) <=> v90(constB106, bitIndex2)) | ((~v90(constB107, bitIndex0)) <=> v90(constB106, bitIndex0))))),
% 7.48/5.41 inference(modus_ponens,[status(thm)],[10645, 10644])).
% 7.48/5.41 tff(10647,plain,
% 7.48/5.41 (v100(constB107) | (~(((~v90(constB107, bitIndex1)) <=> v90(constB106, bitIndex1)) | ((~v90(constB107, bitIndex2)) <=> v90(constB106, bitIndex2)) | ((~v90(constB107, bitIndex0)) <=> v90(constB106, bitIndex0))))),
% 7.48/5.41 inference(unit_resolution,[status(thm)],[10646, 10617, 494])).
% 7.48/5.41 tff(10648,plain,
% 7.48/5.41 (~(((~v90(constB107, bitIndex1)) <=> v90(constB106, bitIndex1)) | ((~v90(constB107, bitIndex2)) <=> v90(constB106, bitIndex2)) | ((~v90(constB107, bitIndex0)) <=> v90(constB106, bitIndex0)))),
% 7.48/5.41 inference(unit_resolution,[status(thm)],[10647, 10640])).
% 7.48/5.41 tff(10649,plain,
% 7.48/5.41 ((((~v90(constB107, bitIndex1)) <=> v90(constB106, bitIndex1)) | ((~v90(constB107, bitIndex2)) <=> v90(constB106, bitIndex2)) | ((~v90(constB107, bitIndex0)) <=> v90(constB106, bitIndex0))) | (~((~v90(constB107, bitIndex2)) <=> v90(constB106, bitIndex2)))),
% 7.48/5.41 inference(tautology,[status(thm)],[])).
% 7.48/5.41 tff(10650,plain,
% 7.48/5.41 (~((~v90(constB107, bitIndex2)) <=> v90(constB106, bitIndex2))),
% 7.48/5.41 inference(unit_resolution,[status(thm)],[10649, 10648])).
% 7.48/5.41 tff(10651,plain,
% 7.48/5.41 (nextState(constB105, constB106) <=> nextState(constB105, constB106)),
% 7.48/5.41 inference(rewrite,[status(thm)],[])).
% 7.48/5.41 tff(10652,axiom,(nextState(constB105, constB106)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_105')).
% 7.48/5.41 tff(10653,plain,
% 7.48/5.41 (nextState(constB105, constB106)),
% 7.48/5.41 inference(modus_ponens,[status(thm)],[10652, 10651])).
% 7.48/5.41 tff(10654,plain,
% 7.48/5.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB105, constB106)) | (~(((~v129(constB106, bitIndex2)) <=> v127(constB105, bitIndex2)) | ((~v129(constB106, bitIndex1)) <=> v127(constB105, bitIndex1)) | ((~v129(constB106, bitIndex0)) <=> v127(constB105, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB105, constB106)) | (~(((~v129(constB106, bitIndex2)) <=> v127(constB105, bitIndex2)) | ((~v129(constB106, bitIndex1)) <=> v127(constB105, bitIndex1)) | ((~v129(constB106, bitIndex0)) <=> v127(constB105, bitIndex0)))))),
% 7.48/5.41 inference(rewrite,[status(thm)],[])).
% 7.48/5.41 tff(10655,plain,
% 7.48/5.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB105, constB106)) | (~(((~v129(constB106, bitIndex2)) <=> v127(constB105, bitIndex2)) | ((~v129(constB106, bitIndex1)) <=> v127(constB105, bitIndex1)) | ((~v129(constB106, bitIndex0)) <=> v127(constB105, bitIndex0)))))),
% 7.48/5.41 inference(quant_inst,[status(thm)],[])).
% 7.48/5.41 tff(10656,plain,
% 7.48/5.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB105, constB106)) | (~(((~v129(constB106, bitIndex2)) <=> v127(constB105, bitIndex2)) | ((~v129(constB106, bitIndex1)) <=> v127(constB105, bitIndex1)) | ((~v129(constB106, bitIndex0)) <=> v127(constB105, bitIndex0))))),
% 7.48/5.41 inference(modus_ponens,[status(thm)],[10655, 10654])).
% 7.48/5.41 tff(10657,plain,
% 7.48/5.41 (~(((~v129(constB106, bitIndex2)) <=> v127(constB105, bitIndex2)) | ((~v129(constB106, bitIndex1)) <=> v127(constB105, bitIndex1)) | ((~v129(constB106, bitIndex0)) <=> v127(constB105, bitIndex0)))),
% 7.48/5.41 inference(unit_resolution,[status(thm)],[10656, 10653, 517])).
% 7.48/5.41 tff(10658,plain,
% 7.48/5.41 ((((~v129(constB106, bitIndex2)) <=> v127(constB105, bitIndex2)) | ((~v129(constB106, bitIndex1)) <=> v127(constB105, bitIndex1)) | ((~v129(constB106, bitIndex0)) <=> v127(constB105, bitIndex0))) | (~((~v129(constB106, bitIndex2)) <=> v127(constB105, bitIndex2)))),
% 7.48/5.41 inference(tautology,[status(thm)],[])).
% 7.48/5.41 tff(10659,plain,
% 7.48/5.41 (~((~v129(constB106, bitIndex2)) <=> v127(constB105, bitIndex2))),
% 7.48/5.41 inference(unit_resolution,[status(thm)],[10658, 10657])).
% 7.48/5.41 tff(10660,plain,
% 7.48/5.41 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB105) <=> v26(constB105))),
% 7.48/5.41 inference(quant_inst,[status(thm)],[])).
% 7.48/5.41 tff(10661,plain,
% 7.48/5.41 (v111(constB105) <=> v26(constB105)),
% 7.48/5.41 inference(unit_resolution,[status(thm)],[10660, 536])).
% 7.48/5.41 tff(10662,plain,
% 7.48/5.41 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB105))),
% 7.48/5.41 inference(quant_inst,[status(thm)],[])).
% 7.48/5.41 tff(10663,plain,
% 7.48/5.41 (~v26(constB105)),
% 7.48/5.41 inference(unit_resolution,[status(thm)],[10662, 548])).
% 7.48/5.41 tff(10664,plain,
% 7.48/5.41 ((~(v111(constB105) <=> v26(constB105))) | (~v111(constB105)) | v26(constB105)),
% 7.48/5.41 inference(tautology,[status(thm)],[])).
% 7.48/5.41 tff(10665,plain,
% 7.48/5.41 ((~(v111(constB105) <=> v26(constB105))) | (~v111(constB105))),
% 7.48/5.41 inference(unit_resolution,[status(thm)],[10664, 10663])).
% 7.48/5.41 tff(10666,plain,
% 7.48/5.41 (~v111(constB105)),
% 7.48/5.41 inference(unit_resolution,[status(thm)],[10665, 10661])).
% 7.48/5.41 tff(10667,plain,
% 7.48/5.41 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB105) | (~(((~v127(constB105, bitIndex2)) <=> v130(constB105, bitIndex2)) | ((~v127(constB105, bitIndex1)) <=> v130(constB105, bitIndex1)) | ((~v127(constB105, bitIndex0)) <=> v130(constB105, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB105) | (~(((~v127(constB105, bitIndex2)) <=> v130(constB105, bitIndex2)) | ((~v127(constB105, bitIndex1)) <=> v130(constB105, bitIndex1)) | ((~v127(constB105, bitIndex0)) <=> v130(constB105, bitIndex0)))))),
% 7.48/5.41 inference(rewrite,[status(thm)],[])).
% 7.48/5.41 tff(10668,plain,
% 7.48/5.41 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB105) | (~(((~v127(constB105, bitIndex2)) <=> v130(constB105, bitIndex2)) | ((~v127(constB105, bitIndex1)) <=> v130(constB105, bitIndex1)) | ((~v127(constB105, bitIndex0)) <=> v130(constB105, bitIndex0)))))),
% 7.48/5.41 inference(quant_inst,[status(thm)],[])).
% 7.48/5.41 tff(10669,plain,
% 7.48/5.41 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB105) | (~(((~v127(constB105, bitIndex2)) <=> v130(constB105, bitIndex2)) | ((~v127(constB105, bitIndex1)) <=> v130(constB105, bitIndex1)) | ((~v127(constB105, bitIndex0)) <=> v130(constB105, bitIndex0))))),
% 7.48/5.41 inference(modus_ponens,[status(thm)],[10668, 10667])).
% 7.48/5.41 tff(10670,plain,
% 7.48/5.41 (v111(constB105) | (~(((~v127(constB105, bitIndex2)) <=> v130(constB105, bitIndex2)) | ((~v127(constB105, bitIndex1)) <=> v130(constB105, bitIndex1)) | ((~v127(constB105, bitIndex0)) <=> v130(constB105, bitIndex0))))),
% 7.48/5.41 inference(unit_resolution,[status(thm)],[10669, 566])).
% 7.48/5.41 tff(10671,plain,
% 7.48/5.41 (~(((~v127(constB105, bitIndex2)) <=> v130(constB105, bitIndex2)) | ((~v127(constB105, bitIndex1)) <=> v130(constB105, bitIndex1)) | ((~v127(constB105, bitIndex0)) <=> v130(constB105, bitIndex0)))),
% 7.48/5.41 inference(unit_resolution,[status(thm)],[10670, 10666])).
% 7.48/5.41 tff(10672,plain,
% 7.48/5.41 ((((~v127(constB105, bitIndex2)) <=> v130(constB105, bitIndex2)) | ((~v127(constB105, bitIndex1)) <=> v130(constB105, bitIndex1)) | ((~v127(constB105, bitIndex0)) <=> v130(constB105, bitIndex0))) | (~((~v127(constB105, bitIndex2)) <=> v130(constB105, bitIndex2)))),
% 7.48/5.41 inference(tautology,[status(thm)],[])).
% 7.48/5.41 tff(10673,plain,
% 7.48/5.41 (~((~v127(constB105, bitIndex2)) <=> v130(constB105, bitIndex2))),
% 7.48/5.41 inference(unit_resolution,[status(thm)],[10672, 10671])).
% 7.48/5.41 tff(10674,plain,
% 7.48/5.41 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB105) <=> (~(v90(constB105, bitIndex0) | v90(constB105, bitIndex1) | v90(constB105, bitIndex2))))),
% 7.48/5.41 inference(quant_inst,[status(thm)],[])).
% 7.48/5.41 tff(10675,plain,
% 7.48/5.41 (v119(constB105) <=> (~(v90(constB105, bitIndex0) | v90(constB105, bitIndex1) | v90(constB105, bitIndex2)))),
% 7.48/5.41 inference(unit_resolution,[status(thm)],[10674, 1085])).
% 7.48/5.41 tff(10676,plain,
% 7.48/5.41 (nextState(constB104, constB105) <=> nextState(constB104, constB105)),
% 7.48/5.41 inference(rewrite,[status(thm)],[])).
% 7.48/5.42 tff(10677,axiom,(nextState(constB104, constB105)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_104')).
% 7.48/5.42 tff(10678,plain,
% 7.48/5.42 (nextState(constB104, constB105)),
% 7.48/5.42 inference(modus_ponens,[status(thm)],[10677, 10676])).
% 7.48/5.42 tff(10679,plain,
% 7.48/5.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB104, constB105)) | (v100(constB105) <=> (~((~v101(constB105)) | (~v110(constB105))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB104, constB105)) | (v100(constB105) <=> (~((~v101(constB105)) | (~v110(constB105))))))),
% 7.48/5.42 inference(rewrite,[status(thm)],[])).
% 7.48/5.42 tff(10680,plain,
% 7.48/5.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB104, constB105)) | (v100(constB105) <=> (~((~v101(constB105)) | (~v110(constB105))))))),
% 7.48/5.42 inference(quant_inst,[status(thm)],[])).
% 7.48/5.42 tff(10681,plain,
% 7.48/5.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB104, constB105)) | (v100(constB105) <=> (~((~v101(constB105)) | (~v110(constB105)))))),
% 7.48/5.42 inference(modus_ponens,[status(thm)],[10680, 10679])).
% 7.48/5.42 tff(10682,plain,
% 7.48/5.42 (v100(constB105) <=> (~((~v101(constB105)) | (~v110(constB105))))),
% 7.48/5.42 inference(unit_resolution,[status(thm)],[10681, 10678, 445])).
% 7.48/5.42 tff(10683,plain,
% 7.48/5.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB104, constB105)) | (v101(constB105) <=> (~((~v1(constB105)) | (~v102(constB105))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB104, constB105)) | (v101(constB105) <=> (~((~v1(constB105)) | (~v102(constB105))))))),
% 7.48/5.42 inference(rewrite,[status(thm)],[])).
% 7.48/5.42 tff(10684,plain,
% 7.48/5.42 (((~nextState(constB104, constB105)) | (v101(constB105) <=> (~((~v102(constB105)) | (~v1(constB105)))))) <=> ((~nextState(constB104, constB105)) | (v101(constB105) <=> (~((~v1(constB105)) | (~v102(constB105))))))),
% 7.48/5.42 inference(rewrite,[status(thm)],[])).
% 7.48/5.42 tff(10685,plain,
% 7.48/5.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB104, constB105)) | (v101(constB105) <=> (~((~v102(constB105)) | (~v1(constB105))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB104, constB105)) | (v101(constB105) <=> (~((~v1(constB105)) | (~v102(constB105)))))))),
% 7.48/5.42 inference(monotonicity,[status(thm)],[10684])).
% 7.48/5.42 tff(10686,plain,
% 7.48/5.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB104, constB105)) | (v101(constB105) <=> (~((~v102(constB105)) | (~v1(constB105))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB104, constB105)) | (v101(constB105) <=> (~((~v1(constB105)) | (~v102(constB105))))))),
% 7.48/5.42 inference(transitivity,[status(thm)],[10685, 10683])).
% 7.48/5.42 tff(10687,plain,
% 7.48/5.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB104, constB105)) | (v101(constB105) <=> (~((~v102(constB105)) | (~v1(constB105))))))),
% 7.48/5.42 inference(quant_inst,[status(thm)],[])).
% 7.48/5.42 tff(10688,plain,
% 7.48/5.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB104, constB105)) | (v101(constB105) <=> (~((~v1(constB105)) | (~v102(constB105)))))),
% 7.48/5.42 inference(modus_ponens,[status(thm)],[10687, 10686])).
% 7.48/5.42 tff(10689,plain,
% 7.48/5.42 (v101(constB105) <=> (~((~v1(constB105)) | (~v102(constB105))))),
% 7.48/5.42 inference(unit_resolution,[status(thm)],[10688, 10678, 465])).
% 7.48/5.42 tff(10690,plain,
% 7.48/5.42 ((~v1(constB105)) <=> (~v1(constB105))),
% 7.48/5.42 inference(rewrite,[status(thm)],[])).
% 7.48/5.42 tff(10691,axiom,(~v1(constB105)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_105')).
% 7.48/5.42 tff(10692,plain,
% 7.48/5.42 (~v1(constB105)),
% 7.48/5.42 inference(modus_ponens,[status(thm)],[10691, 10690])).
% 7.48/5.42 tff(10693,plain,
% 7.48/5.42 (((~v1(constB105)) | (~v102(constB105))) | v1(constB105)),
% 7.48/5.42 inference(tautology,[status(thm)],[])).
% 7.48/5.42 tff(10694,plain,
% 7.48/5.42 ((~v1(constB105)) | (~v102(constB105))),
% 7.48/5.42 inference(unit_resolution,[status(thm)],[10693, 10692])).
% 7.48/5.42 tff(10695,plain,
% 7.48/5.42 ((~(v101(constB105) <=> (~((~v1(constB105)) | (~v102(constB105)))))) | (~v101(constB105)) | (~((~v1(constB105)) | (~v102(constB105))))),
% 7.48/5.42 inference(tautology,[status(thm)],[])).
% 7.48/5.42 tff(10696,plain,
% 7.48/5.42 ((~(v101(constB105) <=> (~((~v1(constB105)) | (~v102(constB105)))))) | (~v101(constB105))),
% 7.48/5.42 inference(unit_resolution,[status(thm)],[10695, 10694])).
% 7.48/5.42 tff(10697,plain,
% 7.48/5.42 (~v101(constB105)),
% 7.48/5.42 inference(unit_resolution,[status(thm)],[10696, 10689])).
% 7.48/5.42 tff(10698,plain,
% 7.48/5.42 (((~v101(constB105)) | (~v110(constB105))) | v101(constB105)),
% 7.48/5.42 inference(tautology,[status(thm)],[])).
% 7.48/5.42 tff(10699,plain,
% 7.48/5.42 ((~v101(constB105)) | (~v110(constB105))),
% 7.48/5.42 inference(unit_resolution,[status(thm)],[10698, 10697])).
% 7.48/5.42 tff(10700,plain,
% 7.48/5.42 ((~(v100(constB105) <=> (~((~v101(constB105)) | (~v110(constB105)))))) | (~v100(constB105)) | (~((~v101(constB105)) | (~v110(constB105))))),
% 7.48/5.42 inference(tautology,[status(thm)],[])).
% 7.48/5.42 tff(10701,plain,
% 7.48/5.42 (~v100(constB105)),
% 7.48/5.42 inference(unit_resolution,[status(thm)],[10700, 10699, 10682])).
% 7.48/5.42 tff(10702,plain,
% 7.48/5.42 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB105) | (~nextState(constB104, constB105)) | (~(((~v90(constB105, bitIndex1)) <=> v90(constB104, bitIndex1)) | ((~v90(constB105, bitIndex2)) <=> v90(constB104, bitIndex2)) | ((~v90(constB105, bitIndex0)) <=> v90(constB104, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB105) | (~nextState(constB104, constB105)) | (~(((~v90(constB105, bitIndex1)) <=> v90(constB104, bitIndex1)) | ((~v90(constB105, bitIndex2)) <=> v90(constB104, bitIndex2)) | ((~v90(constB105, bitIndex0)) <=> v90(constB104, bitIndex0)))))),
% 7.48/5.42 inference(rewrite,[status(thm)],[])).
% 7.48/5.42 tff(10703,plain,
% 7.48/5.42 ((v100(constB105) | (~nextState(constB104, constB105)) | (~(((~v90(constB105, bitIndex2)) <=> v90(constB104, bitIndex2)) | ((~v90(constB105, bitIndex1)) <=> v90(constB104, bitIndex1)) | ((~v90(constB105, bitIndex0)) <=> v90(constB104, bitIndex0))))) <=> (v100(constB105) | (~nextState(constB104, constB105)) | (~(((~v90(constB105, bitIndex1)) <=> v90(constB104, bitIndex1)) | ((~v90(constB105, bitIndex2)) <=> v90(constB104, bitIndex2)) | ((~v90(constB105, bitIndex0)) <=> v90(constB104, bitIndex0)))))),
% 7.48/5.42 inference(rewrite,[status(thm)],[])).
% 7.48/5.42 tff(10704,plain,
% 7.48/5.42 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB105) | (~nextState(constB104, constB105)) | (~(((~v90(constB105, bitIndex2)) <=> v90(constB104, bitIndex2)) | ((~v90(constB105, bitIndex1)) <=> v90(constB104, bitIndex1)) | ((~v90(constB105, bitIndex0)) <=> v90(constB104, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB105) | (~nextState(constB104, constB105)) | (~(((~v90(constB105, bitIndex1)) <=> v90(constB104, bitIndex1)) | ((~v90(constB105, bitIndex2)) <=> v90(constB104, bitIndex2)) | ((~v90(constB105, bitIndex0)) <=> v90(constB104, bitIndex0))))))),
% 7.48/5.42 inference(monotonicity,[status(thm)],[10703])).
% 7.48/5.42 tff(10705,plain,
% 7.48/5.42 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB105) | (~nextState(constB104, constB105)) | (~(((~v90(constB105, bitIndex2)) <=> v90(constB104, bitIndex2)) | ((~v90(constB105, bitIndex1)) <=> v90(constB104, bitIndex1)) | ((~v90(constB105, bitIndex0)) <=> v90(constB104, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB105) | (~nextState(constB104, constB105)) | (~(((~v90(constB105, bitIndex1)) <=> v90(constB104, bitIndex1)) | ((~v90(constB105, bitIndex2)) <=> v90(constB104, bitIndex2)) | ((~v90(constB105, bitIndex0)) <=> v90(constB104, bitIndex0)))))),
% 7.48/5.42 inference(transitivity,[status(thm)],[10704, 10702])).
% 7.48/5.42 tff(10706,plain,
% 7.48/5.42 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB105) | (~nextState(constB104, constB105)) | (~(((~v90(constB105, bitIndex2)) <=> v90(constB104, bitIndex2)) | ((~v90(constB105, bitIndex1)) <=> v90(constB104, bitIndex1)) | ((~v90(constB105, bitIndex0)) <=> v90(constB104, bitIndex0)))))),
% 7.48/5.42 inference(quant_inst,[status(thm)],[])).
% 7.48/5.42 tff(10707,plain,
% 7.48/5.42 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB105) | (~nextState(constB104, constB105)) | (~(((~v90(constB105, bitIndex1)) <=> v90(constB104, bitIndex1)) | ((~v90(constB105, bitIndex2)) <=> v90(constB104, bitIndex2)) | ((~v90(constB105, bitIndex0)) <=> v90(constB104, bitIndex0))))),
% 7.48/5.42 inference(modus_ponens,[status(thm)],[10706, 10705])).
% 7.48/5.42 tff(10708,plain,
% 7.48/5.42 (v100(constB105) | (~(((~v90(constB105, bitIndex1)) <=> v90(constB104, bitIndex1)) | ((~v90(constB105, bitIndex2)) <=> v90(constB104, bitIndex2)) | ((~v90(constB105, bitIndex0)) <=> v90(constB104, bitIndex0))))),
% 7.48/5.42 inference(unit_resolution,[status(thm)],[10707, 10678, 494])).
% 7.48/5.42 tff(10709,plain,
% 7.48/5.42 (~(((~v90(constB105, bitIndex1)) <=> v90(constB104, bitIndex1)) | ((~v90(constB105, bitIndex2)) <=> v90(constB104, bitIndex2)) | ((~v90(constB105, bitIndex0)) <=> v90(constB104, bitIndex0)))),
% 7.48/5.42 inference(unit_resolution,[status(thm)],[10708, 10701])).
% 7.48/5.42 tff(10710,plain,
% 7.48/5.42 ((((~v90(constB105, bitIndex1)) <=> v90(constB104, bitIndex1)) | ((~v90(constB105, bitIndex2)) <=> v90(constB104, bitIndex2)) | ((~v90(constB105, bitIndex0)) <=> v90(constB104, bitIndex0))) | (~((~v90(constB105, bitIndex2)) <=> v90(constB104, bitIndex2)))),
% 7.48/5.42 inference(tautology,[status(thm)],[])).
% 7.48/5.42 tff(10711,plain,
% 7.48/5.42 (~((~v90(constB105, bitIndex2)) <=> v90(constB104, bitIndex2))),
% 7.48/5.42 inference(unit_resolution,[status(thm)],[10710, 10709])).
% 7.48/5.42 tff(10712,plain,
% 7.48/5.42 (nextState(constB103, constB104) <=> nextState(constB103, constB104)),
% 7.48/5.42 inference(rewrite,[status(thm)],[])).
% 7.48/5.42 tff(10713,axiom,(nextState(constB103, constB104)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_103')).
% 7.48/5.42 tff(10714,plain,
% 7.48/5.42 (nextState(constB103, constB104)),
% 7.48/5.42 inference(modus_ponens,[status(thm)],[10713, 10712])).
% 7.48/5.42 tff(10715,plain,
% 7.48/5.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB103, constB104)) | (~(((~v129(constB104, bitIndex2)) <=> v127(constB103, bitIndex2)) | ((~v129(constB104, bitIndex1)) <=> v127(constB103, bitIndex1)) | ((~v129(constB104, bitIndex0)) <=> v127(constB103, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB103, constB104)) | (~(((~v129(constB104, bitIndex2)) <=> v127(constB103, bitIndex2)) | ((~v129(constB104, bitIndex1)) <=> v127(constB103, bitIndex1)) | ((~v129(constB104, bitIndex0)) <=> v127(constB103, bitIndex0)))))),
% 7.48/5.42 inference(rewrite,[status(thm)],[])).
% 7.48/5.42 tff(10716,plain,
% 7.48/5.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB103, constB104)) | (~(((~v129(constB104, bitIndex2)) <=> v127(constB103, bitIndex2)) | ((~v129(constB104, bitIndex1)) <=> v127(constB103, bitIndex1)) | ((~v129(constB104, bitIndex0)) <=> v127(constB103, bitIndex0)))))),
% 7.48/5.42 inference(quant_inst,[status(thm)],[])).
% 7.48/5.42 tff(10717,plain,
% 7.48/5.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB103, constB104)) | (~(((~v129(constB104, bitIndex2)) <=> v127(constB103, bitIndex2)) | ((~v129(constB104, bitIndex1)) <=> v127(constB103, bitIndex1)) | ((~v129(constB104, bitIndex0)) <=> v127(constB103, bitIndex0))))),
% 7.48/5.42 inference(modus_ponens,[status(thm)],[10716, 10715])).
% 7.48/5.42 tff(10718,plain,
% 7.48/5.42 (~(((~v129(constB104, bitIndex2)) <=> v127(constB103, bitIndex2)) | ((~v129(constB104, bitIndex1)) <=> v127(constB103, bitIndex1)) | ((~v129(constB104, bitIndex0)) <=> v127(constB103, bitIndex0)))),
% 7.48/5.42 inference(unit_resolution,[status(thm)],[10717, 10714, 517])).
% 7.48/5.42 tff(10719,plain,
% 7.48/5.42 ((((~v129(constB104, bitIndex2)) <=> v127(constB103, bitIndex2)) | ((~v129(constB104, bitIndex1)) <=> v127(constB103, bitIndex1)) | ((~v129(constB104, bitIndex0)) <=> v127(constB103, bitIndex0))) | (~((~v129(constB104, bitIndex2)) <=> v127(constB103, bitIndex2)))),
% 7.48/5.42 inference(tautology,[status(thm)],[])).
% 7.48/5.42 tff(10720,plain,
% 7.48/5.42 (~((~v129(constB104, bitIndex2)) <=> v127(constB103, bitIndex2))),
% 7.48/5.42 inference(unit_resolution,[status(thm)],[10719, 10718])).
% 7.48/5.42 tff(10721,plain,
% 7.48/5.42 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB103) <=> v26(constB103))),
% 7.48/5.42 inference(quant_inst,[status(thm)],[])).
% 7.48/5.42 tff(10722,plain,
% 7.48/5.42 (v111(constB103) <=> v26(constB103)),
% 7.48/5.42 inference(unit_resolution,[status(thm)],[10721, 536])).
% 7.48/5.42 tff(10723,plain,
% 7.48/5.42 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB103))),
% 7.48/5.42 inference(quant_inst,[status(thm)],[])).
% 7.48/5.42 tff(10724,plain,
% 7.48/5.42 (~v26(constB103)),
% 7.48/5.42 inference(unit_resolution,[status(thm)],[10723, 548])).
% 7.48/5.42 tff(10725,plain,
% 7.48/5.42 ((~(v111(constB103) <=> v26(constB103))) | (~v111(constB103)) | v26(constB103)),
% 7.48/5.42 inference(tautology,[status(thm)],[])).
% 7.48/5.42 tff(10726,plain,
% 7.48/5.42 ((~(v111(constB103) <=> v26(constB103))) | (~v111(constB103))),
% 7.48/5.42 inference(unit_resolution,[status(thm)],[10725, 10724])).
% 7.48/5.42 tff(10727,plain,
% 7.48/5.42 (~v111(constB103)),
% 7.48/5.42 inference(unit_resolution,[status(thm)],[10726, 10722])).
% 7.48/5.42 tff(10728,plain,
% 7.48/5.42 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB103) | (~(((~v127(constB103, bitIndex2)) <=> v130(constB103, bitIndex2)) | ((~v127(constB103, bitIndex1)) <=> v130(constB103, bitIndex1)) | ((~v127(constB103, bitIndex0)) <=> v130(constB103, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB103) | (~(((~v127(constB103, bitIndex2)) <=> v130(constB103, bitIndex2)) | ((~v127(constB103, bitIndex1)) <=> v130(constB103, bitIndex1)) | ((~v127(constB103, bitIndex0)) <=> v130(constB103, bitIndex0)))))),
% 7.48/5.42 inference(rewrite,[status(thm)],[])).
% 7.48/5.42 tff(10729,plain,
% 7.48/5.42 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB103) | (~(((~v127(constB103, bitIndex2)) <=> v130(constB103, bitIndex2)) | ((~v127(constB103, bitIndex1)) <=> v130(constB103, bitIndex1)) | ((~v127(constB103, bitIndex0)) <=> v130(constB103, bitIndex0)))))),
% 7.48/5.42 inference(quant_inst,[status(thm)],[])).
% 7.48/5.42 tff(10730,plain,
% 7.48/5.42 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB103) | (~(((~v127(constB103, bitIndex2)) <=> v130(constB103, bitIndex2)) | ((~v127(constB103, bitIndex1)) <=> v130(constB103, bitIndex1)) | ((~v127(constB103, bitIndex0)) <=> v130(constB103, bitIndex0))))),
% 7.48/5.42 inference(modus_ponens,[status(thm)],[10729, 10728])).
% 7.48/5.42 tff(10731,plain,
% 7.48/5.42 (v111(constB103) | (~(((~v127(constB103, bitIndex2)) <=> v130(constB103, bitIndex2)) | ((~v127(constB103, bitIndex1)) <=> v130(constB103, bitIndex1)) | ((~v127(constB103, bitIndex0)) <=> v130(constB103, bitIndex0))))),
% 7.48/5.42 inference(unit_resolution,[status(thm)],[10730, 566])).
% 7.48/5.42 tff(10732,plain,
% 7.48/5.42 (~(((~v127(constB103, bitIndex2)) <=> v130(constB103, bitIndex2)) | ((~v127(constB103, bitIndex1)) <=> v130(constB103, bitIndex1)) | ((~v127(constB103, bitIndex0)) <=> v130(constB103, bitIndex0)))),
% 7.48/5.42 inference(unit_resolution,[status(thm)],[10731, 10727])).
% 7.48/5.42 tff(10733,plain,
% 7.48/5.42 ((((~v127(constB103, bitIndex2)) <=> v130(constB103, bitIndex2)) | ((~v127(constB103, bitIndex1)) <=> v130(constB103, bitIndex1)) | ((~v127(constB103, bitIndex0)) <=> v130(constB103, bitIndex0))) | (~((~v127(constB103, bitIndex2)) <=> v130(constB103, bitIndex2)))),
% 7.48/5.42 inference(tautology,[status(thm)],[])).
% 7.48/5.42 tff(10734,plain,
% 7.48/5.42 (~((~v127(constB103, bitIndex2)) <=> v130(constB103, bitIndex2))),
% 7.48/5.42 inference(unit_resolution,[status(thm)],[10733, 10732])).
% 7.48/5.42 tff(10735,plain,
% 7.48/5.42 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB103) <=> (~(v90(constB103, bitIndex1) | v90(constB103, bitIndex0) | (~v90(constB103, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB103) <=> (~(v90(constB103, bitIndex1) | v90(constB103, bitIndex0) | (~v90(constB103, bitIndex2))))))),
% 7.48/5.42 inference(rewrite,[status(thm)],[])).
% 7.48/5.42 tff(10736,plain,
% 7.48/5.42 ((v123(constB103) <=> (~(v90(constB103, bitIndex0) | v90(constB103, bitIndex1) | (~v90(constB103, bitIndex2))))) <=> (v123(constB103) <=> (~(v90(constB103, bitIndex1) | v90(constB103, bitIndex0) | (~v90(constB103, bitIndex2)))))),
% 7.48/5.42 inference(rewrite,[status(thm)],[])).
% 7.48/5.42 tff(10737,plain,
% 7.48/5.42 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB103) <=> (~(v90(constB103, bitIndex0) | v90(constB103, bitIndex1) | (~v90(constB103, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB103) <=> (~(v90(constB103, bitIndex1) | v90(constB103, bitIndex0) | (~v90(constB103, bitIndex2))))))),
% 7.48/5.42 inference(monotonicity,[status(thm)],[10736])).
% 7.48/5.42 tff(10738,plain,
% 7.48/5.42 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB103) <=> (~(v90(constB103, bitIndex0) | v90(constB103, bitIndex1) | (~v90(constB103, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB103) <=> (~(v90(constB103, bitIndex1) | v90(constB103, bitIndex0) | (~v90(constB103, bitIndex2))))))),
% 7.48/5.42 inference(transitivity,[status(thm)],[10737, 10735])).
% 7.48/5.42 tff(10739,plain,
% 7.48/5.42 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB103) <=> (~(v90(constB103, bitIndex0) | v90(constB103, bitIndex1) | (~v90(constB103, bitIndex2)))))),
% 7.48/5.42 inference(quant_inst,[status(thm)],[])).
% 7.48/5.42 tff(10740,plain,
% 7.48/5.42 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB103) <=> (~(v90(constB103, bitIndex1) | v90(constB103, bitIndex0) | (~v90(constB103, bitIndex2)))))),
% 7.48/5.42 inference(modus_ponens,[status(thm)],[10739, 10738])).
% 7.48/5.42 tff(10741,plain,
% 7.48/5.42 (v123(constB103) <=> (~(v90(constB103, bitIndex1) | v90(constB103, bitIndex0) | (~v90(constB103, bitIndex2))))),
% 7.48/5.42 inference(unit_resolution,[status(thm)],[10740, 800])).
% 7.48/5.42 tff(10742,plain,
% 7.48/5.42 (nextState(constB102, constB103) <=> nextState(constB102, constB103)),
% 7.48/5.42 inference(rewrite,[status(thm)],[])).
% 7.48/5.42 tff(10743,axiom,(nextState(constB102, constB103)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_102')).
% 7.48/5.42 tff(10744,plain,
% 7.48/5.42 (nextState(constB102, constB103)),
% 7.48/5.42 inference(modus_ponens,[status(thm)],[10743, 10742])).
% 7.48/5.42 tff(10745,plain,
% 7.48/5.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB102, constB103)) | (v100(constB103) <=> (~((~v101(constB103)) | (~v110(constB103))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB102, constB103)) | (v100(constB103) <=> (~((~v101(constB103)) | (~v110(constB103))))))),
% 7.48/5.42 inference(rewrite,[status(thm)],[])).
% 7.48/5.42 tff(10746,plain,
% 7.48/5.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB102, constB103)) | (v100(constB103) <=> (~((~v101(constB103)) | (~v110(constB103))))))),
% 7.48/5.42 inference(quant_inst,[status(thm)],[])).
% 7.48/5.42 tff(10747,plain,
% 7.48/5.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB102, constB103)) | (v100(constB103) <=> (~((~v101(constB103)) | (~v110(constB103)))))),
% 7.48/5.42 inference(modus_ponens,[status(thm)],[10746, 10745])).
% 7.48/5.42 tff(10748,plain,
% 7.48/5.42 (v100(constB103) <=> (~((~v101(constB103)) | (~v110(constB103))))),
% 7.48/5.42 inference(unit_resolution,[status(thm)],[10747, 10744, 445])).
% 7.48/5.42 tff(10749,plain,
% 7.48/5.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB102, constB103)) | (v101(constB103) <=> (~((~v1(constB103)) | (~v102(constB103))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB102, constB103)) | (v101(constB103) <=> (~((~v1(constB103)) | (~v102(constB103))))))),
% 7.48/5.42 inference(rewrite,[status(thm)],[])).
% 7.48/5.42 tff(10750,plain,
% 7.48/5.42 (((~nextState(constB102, constB103)) | (v101(constB103) <=> (~((~v102(constB103)) | (~v1(constB103)))))) <=> ((~nextState(constB102, constB103)) | (v101(constB103) <=> (~((~v1(constB103)) | (~v102(constB103))))))),
% 7.48/5.42 inference(rewrite,[status(thm)],[])).
% 7.48/5.42 tff(10751,plain,
% 7.48/5.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB102, constB103)) | (v101(constB103) <=> (~((~v102(constB103)) | (~v1(constB103))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB102, constB103)) | (v101(constB103) <=> (~((~v1(constB103)) | (~v102(constB103)))))))),
% 7.48/5.42 inference(monotonicity,[status(thm)],[10750])).
% 7.48/5.42 tff(10752,plain,
% 7.48/5.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB102, constB103)) | (v101(constB103) <=> (~((~v102(constB103)) | (~v1(constB103))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB102, constB103)) | (v101(constB103) <=> (~((~v1(constB103)) | (~v102(constB103))))))),
% 7.48/5.42 inference(transitivity,[status(thm)],[10751, 10749])).
% 7.48/5.42 tff(10753,plain,
% 7.48/5.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB102, constB103)) | (v101(constB103) <=> (~((~v102(constB103)) | (~v1(constB103))))))),
% 7.48/5.42 inference(quant_inst,[status(thm)],[])).
% 7.48/5.42 tff(10754,plain,
% 7.48/5.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB102, constB103)) | (v101(constB103) <=> (~((~v1(constB103)) | (~v102(constB103)))))),
% 7.48/5.42 inference(modus_ponens,[status(thm)],[10753, 10752])).
% 7.48/5.42 tff(10755,plain,
% 7.48/5.42 (v101(constB103) <=> (~((~v1(constB103)) | (~v102(constB103))))),
% 7.48/5.42 inference(unit_resolution,[status(thm)],[10754, 10744, 465])).
% 7.48/5.42 tff(10756,plain,
% 7.48/5.42 ((~v1(constB103)) <=> (~v1(constB103))),
% 7.48/5.42 inference(rewrite,[status(thm)],[])).
% 7.48/5.42 tff(10757,axiom,(~v1(constB103)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_103')).
% 7.48/5.42 tff(10758,plain,
% 7.48/5.42 (~v1(constB103)),
% 7.48/5.42 inference(modus_ponens,[status(thm)],[10757, 10756])).
% 7.48/5.42 tff(10759,plain,
% 7.48/5.42 (((~v1(constB103)) | (~v102(constB103))) | v1(constB103)),
% 7.48/5.42 inference(tautology,[status(thm)],[])).
% 7.48/5.42 tff(10760,plain,
% 7.48/5.42 ((~v1(constB103)) | (~v102(constB103))),
% 7.48/5.42 inference(unit_resolution,[status(thm)],[10759, 10758])).
% 7.48/5.42 tff(10761,plain,
% 7.48/5.42 ((~(v101(constB103) <=> (~((~v1(constB103)) | (~v102(constB103)))))) | (~v101(constB103)) | (~((~v1(constB103)) | (~v102(constB103))))),
% 7.48/5.42 inference(tautology,[status(thm)],[])).
% 7.48/5.42 tff(10762,plain,
% 7.48/5.42 ((~(v101(constB103) <=> (~((~v1(constB103)) | (~v102(constB103)))))) | (~v101(constB103))),
% 7.48/5.42 inference(unit_resolution,[status(thm)],[10761, 10760])).
% 7.48/5.42 tff(10763,plain,
% 7.48/5.42 (~v101(constB103)),
% 7.48/5.42 inference(unit_resolution,[status(thm)],[10762, 10755])).
% 7.48/5.42 tff(10764,plain,
% 7.48/5.42 (((~v101(constB103)) | (~v110(constB103))) | v101(constB103)),
% 7.48/5.42 inference(tautology,[status(thm)],[])).
% 7.48/5.42 tff(10765,plain,
% 7.48/5.42 ((~v101(constB103)) | (~v110(constB103))),
% 7.48/5.42 inference(unit_resolution,[status(thm)],[10764, 10763])).
% 7.48/5.42 tff(10766,plain,
% 7.48/5.42 ((~(v100(constB103) <=> (~((~v101(constB103)) | (~v110(constB103)))))) | (~v100(constB103)) | (~((~v101(constB103)) | (~v110(constB103))))),
% 7.48/5.42 inference(tautology,[status(thm)],[])).
% 7.48/5.42 tff(10767,plain,
% 7.48/5.42 (~v100(constB103)),
% 7.48/5.42 inference(unit_resolution,[status(thm)],[10766, 10765, 10748])).
% 7.48/5.42 tff(10768,plain,
% 7.48/5.42 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB103) | (~nextState(constB102, constB103)) | (~(((~v90(constB103, bitIndex1)) <=> v90(constB102, bitIndex1)) | ((~v90(constB103, bitIndex2)) <=> v90(constB102, bitIndex2)) | ((~v90(constB103, bitIndex0)) <=> v90(constB102, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB103) | (~nextState(constB102, constB103)) | (~(((~v90(constB103, bitIndex1)) <=> v90(constB102, bitIndex1)) | ((~v90(constB103, bitIndex2)) <=> v90(constB102, bitIndex2)) | ((~v90(constB103, bitIndex0)) <=> v90(constB102, bitIndex0)))))),
% 7.48/5.43 inference(rewrite,[status(thm)],[])).
% 7.48/5.43 tff(10769,plain,
% 7.48/5.43 ((v100(constB103) | (~nextState(constB102, constB103)) | (~(((~v90(constB103, bitIndex2)) <=> v90(constB102, bitIndex2)) | ((~v90(constB103, bitIndex1)) <=> v90(constB102, bitIndex1)) | ((~v90(constB103, bitIndex0)) <=> v90(constB102, bitIndex0))))) <=> (v100(constB103) | (~nextState(constB102, constB103)) | (~(((~v90(constB103, bitIndex1)) <=> v90(constB102, bitIndex1)) | ((~v90(constB103, bitIndex2)) <=> v90(constB102, bitIndex2)) | ((~v90(constB103, bitIndex0)) <=> v90(constB102, bitIndex0)))))),
% 7.48/5.43 inference(rewrite,[status(thm)],[])).
% 7.48/5.43 tff(10770,plain,
% 7.48/5.43 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB103) | (~nextState(constB102, constB103)) | (~(((~v90(constB103, bitIndex2)) <=> v90(constB102, bitIndex2)) | ((~v90(constB103, bitIndex1)) <=> v90(constB102, bitIndex1)) | ((~v90(constB103, bitIndex0)) <=> v90(constB102, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB103) | (~nextState(constB102, constB103)) | (~(((~v90(constB103, bitIndex1)) <=> v90(constB102, bitIndex1)) | ((~v90(constB103, bitIndex2)) <=> v90(constB102, bitIndex2)) | ((~v90(constB103, bitIndex0)) <=> v90(constB102, bitIndex0))))))),
% 7.48/5.43 inference(monotonicity,[status(thm)],[10769])).
% 7.48/5.43 tff(10771,plain,
% 7.48/5.43 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB103) | (~nextState(constB102, constB103)) | (~(((~v90(constB103, bitIndex2)) <=> v90(constB102, bitIndex2)) | ((~v90(constB103, bitIndex1)) <=> v90(constB102, bitIndex1)) | ((~v90(constB103, bitIndex0)) <=> v90(constB102, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB103) | (~nextState(constB102, constB103)) | (~(((~v90(constB103, bitIndex1)) <=> v90(constB102, bitIndex1)) | ((~v90(constB103, bitIndex2)) <=> v90(constB102, bitIndex2)) | ((~v90(constB103, bitIndex0)) <=> v90(constB102, bitIndex0)))))),
% 7.48/5.43 inference(transitivity,[status(thm)],[10770, 10768])).
% 7.48/5.43 tff(10772,plain,
% 7.48/5.43 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB103) | (~nextState(constB102, constB103)) | (~(((~v90(constB103, bitIndex2)) <=> v90(constB102, bitIndex2)) | ((~v90(constB103, bitIndex1)) <=> v90(constB102, bitIndex1)) | ((~v90(constB103, bitIndex0)) <=> v90(constB102, bitIndex0)))))),
% 7.48/5.43 inference(quant_inst,[status(thm)],[])).
% 7.48/5.43 tff(10773,plain,
% 7.48/5.43 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB103) | (~nextState(constB102, constB103)) | (~(((~v90(constB103, bitIndex1)) <=> v90(constB102, bitIndex1)) | ((~v90(constB103, bitIndex2)) <=> v90(constB102, bitIndex2)) | ((~v90(constB103, bitIndex0)) <=> v90(constB102, bitIndex0))))),
% 7.48/5.43 inference(modus_ponens,[status(thm)],[10772, 10771])).
% 7.48/5.43 tff(10774,plain,
% 7.48/5.43 (v100(constB103) | (~(((~v90(constB103, bitIndex1)) <=> v90(constB102, bitIndex1)) | ((~v90(constB103, bitIndex2)) <=> v90(constB102, bitIndex2)) | ((~v90(constB103, bitIndex0)) <=> v90(constB102, bitIndex0))))),
% 7.48/5.43 inference(unit_resolution,[status(thm)],[10773, 10744, 494])).
% 7.48/5.43 tff(10775,plain,
% 7.48/5.43 (~(((~v90(constB103, bitIndex1)) <=> v90(constB102, bitIndex1)) | ((~v90(constB103, bitIndex2)) <=> v90(constB102, bitIndex2)) | ((~v90(constB103, bitIndex0)) <=> v90(constB102, bitIndex0)))),
% 7.48/5.43 inference(unit_resolution,[status(thm)],[10774, 10767])).
% 7.48/5.43 tff(10776,plain,
% 7.48/5.43 ((((~v90(constB103, bitIndex1)) <=> v90(constB102, bitIndex1)) | ((~v90(constB103, bitIndex2)) <=> v90(constB102, bitIndex2)) | ((~v90(constB103, bitIndex0)) <=> v90(constB102, bitIndex0))) | (~((~v90(constB103, bitIndex2)) <=> v90(constB102, bitIndex2)))),
% 7.48/5.43 inference(tautology,[status(thm)],[])).
% 7.48/5.43 tff(10777,plain,
% 7.48/5.43 (~((~v90(constB103, bitIndex2)) <=> v90(constB102, bitIndex2))),
% 7.48/5.43 inference(unit_resolution,[status(thm)],[10776, 10775])).
% 7.48/5.43 tff(10778,plain,
% 7.48/5.43 (nextState(constB101, constB102) <=> nextState(constB101, constB102)),
% 7.48/5.43 inference(rewrite,[status(thm)],[])).
% 7.48/5.43 tff(10779,axiom,(nextState(constB101, constB102)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_101')).
% 7.48/5.43 tff(10780,plain,
% 7.48/5.43 (nextState(constB101, constB102)),
% 7.48/5.43 inference(modus_ponens,[status(thm)],[10779, 10778])).
% 7.48/5.43 tff(10781,plain,
% 7.48/5.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB101, constB102)) | (~(((~v129(constB102, bitIndex2)) <=> v127(constB101, bitIndex2)) | ((~v129(constB102, bitIndex1)) <=> v127(constB101, bitIndex1)) | ((~v129(constB102, bitIndex0)) <=> v127(constB101, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB101, constB102)) | (~(((~v129(constB102, bitIndex2)) <=> v127(constB101, bitIndex2)) | ((~v129(constB102, bitIndex1)) <=> v127(constB101, bitIndex1)) | ((~v129(constB102, bitIndex0)) <=> v127(constB101, bitIndex0)))))),
% 7.48/5.43 inference(rewrite,[status(thm)],[])).
% 7.48/5.43 tff(10782,plain,
% 7.48/5.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB101, constB102)) | (~(((~v129(constB102, bitIndex2)) <=> v127(constB101, bitIndex2)) | ((~v129(constB102, bitIndex1)) <=> v127(constB101, bitIndex1)) | ((~v129(constB102, bitIndex0)) <=> v127(constB101, bitIndex0)))))),
% 7.48/5.43 inference(quant_inst,[status(thm)],[])).
% 7.48/5.43 tff(10783,plain,
% 7.48/5.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB101, constB102)) | (~(((~v129(constB102, bitIndex2)) <=> v127(constB101, bitIndex2)) | ((~v129(constB102, bitIndex1)) <=> v127(constB101, bitIndex1)) | ((~v129(constB102, bitIndex0)) <=> v127(constB101, bitIndex0))))),
% 7.48/5.43 inference(modus_ponens,[status(thm)],[10782, 10781])).
% 7.48/5.43 tff(10784,plain,
% 7.48/5.43 (~(((~v129(constB102, bitIndex2)) <=> v127(constB101, bitIndex2)) | ((~v129(constB102, bitIndex1)) <=> v127(constB101, bitIndex1)) | ((~v129(constB102, bitIndex0)) <=> v127(constB101, bitIndex0)))),
% 7.48/5.43 inference(unit_resolution,[status(thm)],[10783, 10780, 517])).
% 7.48/5.43 tff(10785,plain,
% 7.48/5.43 ((((~v129(constB102, bitIndex2)) <=> v127(constB101, bitIndex2)) | ((~v129(constB102, bitIndex1)) <=> v127(constB101, bitIndex1)) | ((~v129(constB102, bitIndex0)) <=> v127(constB101, bitIndex0))) | (~((~v129(constB102, bitIndex2)) <=> v127(constB101, bitIndex2)))),
% 7.48/5.43 inference(tautology,[status(thm)],[])).
% 7.48/5.43 tff(10786,plain,
% 7.48/5.43 (~((~v129(constB102, bitIndex2)) <=> v127(constB101, bitIndex2))),
% 7.48/5.43 inference(unit_resolution,[status(thm)],[10785, 10784])).
% 7.48/5.43 tff(10787,plain,
% 7.48/5.43 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB101) <=> v26(constB101))),
% 7.48/5.43 inference(quant_inst,[status(thm)],[])).
% 7.48/5.43 tff(10788,plain,
% 7.48/5.43 (v111(constB101) <=> v26(constB101)),
% 7.48/5.43 inference(unit_resolution,[status(thm)],[10787, 536])).
% 7.48/5.43 tff(10789,plain,
% 7.48/5.43 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB101))),
% 7.48/5.43 inference(quant_inst,[status(thm)],[])).
% 7.48/5.43 tff(10790,plain,
% 7.48/5.43 (~v26(constB101)),
% 7.48/5.43 inference(unit_resolution,[status(thm)],[10789, 548])).
% 7.48/5.43 tff(10791,plain,
% 7.48/5.43 ((~(v111(constB101) <=> v26(constB101))) | (~v111(constB101)) | v26(constB101)),
% 7.48/5.43 inference(tautology,[status(thm)],[])).
% 7.48/5.43 tff(10792,plain,
% 7.48/5.43 ((~(v111(constB101) <=> v26(constB101))) | (~v111(constB101))),
% 7.48/5.43 inference(unit_resolution,[status(thm)],[10791, 10790])).
% 7.48/5.43 tff(10793,plain,
% 7.48/5.43 (~v111(constB101)),
% 7.48/5.43 inference(unit_resolution,[status(thm)],[10792, 10788])).
% 7.48/5.43 tff(10794,plain,
% 7.48/5.43 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB101) | (~(((~v127(constB101, bitIndex2)) <=> v130(constB101, bitIndex2)) | ((~v127(constB101, bitIndex1)) <=> v130(constB101, bitIndex1)) | ((~v127(constB101, bitIndex0)) <=> v130(constB101, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB101) | (~(((~v127(constB101, bitIndex2)) <=> v130(constB101, bitIndex2)) | ((~v127(constB101, bitIndex1)) <=> v130(constB101, bitIndex1)) | ((~v127(constB101, bitIndex0)) <=> v130(constB101, bitIndex0)))))),
% 7.48/5.43 inference(rewrite,[status(thm)],[])).
% 7.48/5.43 tff(10795,plain,
% 7.48/5.43 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB101) | (~(((~v127(constB101, bitIndex2)) <=> v130(constB101, bitIndex2)) | ((~v127(constB101, bitIndex1)) <=> v130(constB101, bitIndex1)) | ((~v127(constB101, bitIndex0)) <=> v130(constB101, bitIndex0)))))),
% 7.48/5.43 inference(quant_inst,[status(thm)],[])).
% 7.48/5.43 tff(10796,plain,
% 7.48/5.43 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB101) | (~(((~v127(constB101, bitIndex2)) <=> v130(constB101, bitIndex2)) | ((~v127(constB101, bitIndex1)) <=> v130(constB101, bitIndex1)) | ((~v127(constB101, bitIndex0)) <=> v130(constB101, bitIndex0))))),
% 7.48/5.43 inference(modus_ponens,[status(thm)],[10795, 10794])).
% 7.48/5.43 tff(10797,plain,
% 7.48/5.43 (v111(constB101) | (~(((~v127(constB101, bitIndex2)) <=> v130(constB101, bitIndex2)) | ((~v127(constB101, bitIndex1)) <=> v130(constB101, bitIndex1)) | ((~v127(constB101, bitIndex0)) <=> v130(constB101, bitIndex0))))),
% 7.48/5.43 inference(unit_resolution,[status(thm)],[10796, 566])).
% 7.48/5.43 tff(10798,plain,
% 7.48/5.43 (~(((~v127(constB101, bitIndex2)) <=> v130(constB101, bitIndex2)) | ((~v127(constB101, bitIndex1)) <=> v130(constB101, bitIndex1)) | ((~v127(constB101, bitIndex0)) <=> v130(constB101, bitIndex0)))),
% 7.48/5.43 inference(unit_resolution,[status(thm)],[10797, 10793])).
% 7.48/5.43 tff(10799,plain,
% 7.48/5.43 ((((~v127(constB101, bitIndex2)) <=> v130(constB101, bitIndex2)) | ((~v127(constB101, bitIndex1)) <=> v130(constB101, bitIndex1)) | ((~v127(constB101, bitIndex0)) <=> v130(constB101, bitIndex0))) | (~((~v127(constB101, bitIndex2)) <=> v130(constB101, bitIndex2)))),
% 7.48/5.43 inference(tautology,[status(thm)],[])).
% 7.48/5.43 tff(10800,plain,
% 7.48/5.43 (~((~v127(constB101, bitIndex2)) <=> v130(constB101, bitIndex2))),
% 7.48/5.43 inference(unit_resolution,[status(thm)],[10799, 10798])).
% 7.48/5.43 tff(10801,plain,
% 7.48/5.43 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB101) <=> (~(v90(constB101, bitIndex2) | (~v90(constB101, bitIndex1)) | (~v90(constB101, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB101) <=> (~(v90(constB101, bitIndex2) | (~v90(constB101, bitIndex1)) | (~v90(constB101, bitIndex0))))))),
% 7.48/5.43 inference(rewrite,[status(thm)],[])).
% 7.48/5.43 tff(10802,plain,
% 7.48/5.43 ((v122(constB101) <=> (~(v90(constB101, bitIndex2) | (~v90(constB101, bitIndex0)) | (~v90(constB101, bitIndex1))))) <=> (v122(constB101) <=> (~(v90(constB101, bitIndex2) | (~v90(constB101, bitIndex1)) | (~v90(constB101, bitIndex0)))))),
% 7.48/5.43 inference(rewrite,[status(thm)],[])).
% 7.48/5.43 tff(10803,plain,
% 7.48/5.43 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB101) <=> (~(v90(constB101, bitIndex2) | (~v90(constB101, bitIndex0)) | (~v90(constB101, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB101) <=> (~(v90(constB101, bitIndex2) | (~v90(constB101, bitIndex1)) | (~v90(constB101, bitIndex0))))))),
% 7.48/5.43 inference(monotonicity,[status(thm)],[10802])).
% 7.48/5.43 tff(10804,plain,
% 7.48/5.43 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB101) <=> (~(v90(constB101, bitIndex2) | (~v90(constB101, bitIndex0)) | (~v90(constB101, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB101) <=> (~(v90(constB101, bitIndex2) | (~v90(constB101, bitIndex1)) | (~v90(constB101, bitIndex0))))))),
% 7.48/5.43 inference(transitivity,[status(thm)],[10803, 10801])).
% 7.48/5.43 tff(10805,plain,
% 7.48/5.43 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB101) <=> (~(v90(constB101, bitIndex2) | (~v90(constB101, bitIndex0)) | (~v90(constB101, bitIndex1)))))),
% 7.48/5.43 inference(quant_inst,[status(thm)],[])).
% 7.48/5.43 tff(10806,plain,
% 7.48/5.43 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB101) <=> (~(v90(constB101, bitIndex2) | (~v90(constB101, bitIndex1)) | (~v90(constB101, bitIndex0)))))),
% 7.48/5.43 inference(modus_ponens,[status(thm)],[10805, 10804])).
% 7.48/5.43 tff(10807,plain,
% 7.48/5.43 (v122(constB101) <=> (~(v90(constB101, bitIndex2) | (~v90(constB101, bitIndex1)) | (~v90(constB101, bitIndex0))))),
% 7.48/5.43 inference(unit_resolution,[status(thm)],[10806, 879])).
% 7.48/5.43 tff(10808,plain,
% 7.48/5.43 (nextState(constB100, constB101) <=> nextState(constB100, constB101)),
% 7.48/5.43 inference(rewrite,[status(thm)],[])).
% 7.48/5.43 tff(10809,axiom,(nextState(constB100, constB101)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_100')).
% 7.48/5.43 tff(10810,plain,
% 7.48/5.43 (nextState(constB100, constB101)),
% 7.48/5.43 inference(modus_ponens,[status(thm)],[10809, 10808])).
% 7.48/5.43 tff(10811,plain,
% 7.48/5.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB100, constB101)) | (v100(constB101) <=> (~((~v101(constB101)) | (~v110(constB101))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB100, constB101)) | (v100(constB101) <=> (~((~v101(constB101)) | (~v110(constB101))))))),
% 7.48/5.43 inference(rewrite,[status(thm)],[])).
% 7.48/5.43 tff(10812,plain,
% 7.48/5.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB100, constB101)) | (v100(constB101) <=> (~((~v101(constB101)) | (~v110(constB101))))))),
% 7.48/5.43 inference(quant_inst,[status(thm)],[])).
% 7.48/5.43 tff(10813,plain,
% 7.48/5.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB100, constB101)) | (v100(constB101) <=> (~((~v101(constB101)) | (~v110(constB101)))))),
% 7.48/5.43 inference(modus_ponens,[status(thm)],[10812, 10811])).
% 7.48/5.43 tff(10814,plain,
% 7.48/5.43 (v100(constB101) <=> (~((~v101(constB101)) | (~v110(constB101))))),
% 7.48/5.43 inference(unit_resolution,[status(thm)],[10813, 10810, 445])).
% 7.48/5.43 tff(10815,plain,
% 7.48/5.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB100, constB101)) | (v101(constB101) <=> (~((~v1(constB101)) | (~v102(constB101))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB100, constB101)) | (v101(constB101) <=> (~((~v1(constB101)) | (~v102(constB101))))))),
% 7.48/5.43 inference(rewrite,[status(thm)],[])).
% 7.48/5.43 tff(10816,plain,
% 7.48/5.43 (((~nextState(constB100, constB101)) | (v101(constB101) <=> (~((~v102(constB101)) | (~v1(constB101)))))) <=> ((~nextState(constB100, constB101)) | (v101(constB101) <=> (~((~v1(constB101)) | (~v102(constB101))))))),
% 7.48/5.43 inference(rewrite,[status(thm)],[])).
% 7.48/5.43 tff(10817,plain,
% 7.48/5.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB100, constB101)) | (v101(constB101) <=> (~((~v102(constB101)) | (~v1(constB101))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB100, constB101)) | (v101(constB101) <=> (~((~v1(constB101)) | (~v102(constB101)))))))),
% 7.48/5.43 inference(monotonicity,[status(thm)],[10816])).
% 7.48/5.43 tff(10818,plain,
% 7.48/5.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB100, constB101)) | (v101(constB101) <=> (~((~v102(constB101)) | (~v1(constB101))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB100, constB101)) | (v101(constB101) <=> (~((~v1(constB101)) | (~v102(constB101))))))),
% 7.48/5.43 inference(transitivity,[status(thm)],[10817, 10815])).
% 7.48/5.43 tff(10819,plain,
% 7.48/5.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB100, constB101)) | (v101(constB101) <=> (~((~v102(constB101)) | (~v1(constB101))))))),
% 7.48/5.43 inference(quant_inst,[status(thm)],[])).
% 7.48/5.43 tff(10820,plain,
% 7.48/5.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB100, constB101)) | (v101(constB101) <=> (~((~v1(constB101)) | (~v102(constB101)))))),
% 7.48/5.43 inference(modus_ponens,[status(thm)],[10819, 10818])).
% 7.48/5.43 tff(10821,plain,
% 7.48/5.43 (v101(constB101) <=> (~((~v1(constB101)) | (~v102(constB101))))),
% 7.48/5.43 inference(unit_resolution,[status(thm)],[10820, 10810, 465])).
% 7.48/5.43 tff(10822,plain,
% 7.48/5.43 ((~v1(constB101)) <=> (~v1(constB101))),
% 7.48/5.43 inference(rewrite,[status(thm)],[])).
% 7.48/5.43 tff(10823,axiom,(~v1(constB101)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_101')).
% 7.48/5.43 tff(10824,plain,
% 7.48/5.43 (~v1(constB101)),
% 7.48/5.43 inference(modus_ponens,[status(thm)],[10823, 10822])).
% 7.48/5.43 tff(10825,plain,
% 7.48/5.43 (((~v1(constB101)) | (~v102(constB101))) | v1(constB101)),
% 7.48/5.43 inference(tautology,[status(thm)],[])).
% 7.48/5.43 tff(10826,plain,
% 7.48/5.43 ((~v1(constB101)) | (~v102(constB101))),
% 7.48/5.43 inference(unit_resolution,[status(thm)],[10825, 10824])).
% 7.48/5.43 tff(10827,plain,
% 7.48/5.43 ((~(v101(constB101) <=> (~((~v1(constB101)) | (~v102(constB101)))))) | (~v101(constB101)) | (~((~v1(constB101)) | (~v102(constB101))))),
% 7.48/5.43 inference(tautology,[status(thm)],[])).
% 7.48/5.43 tff(10828,plain,
% 7.48/5.43 ((~(v101(constB101) <=> (~((~v1(constB101)) | (~v102(constB101)))))) | (~v101(constB101))),
% 7.48/5.43 inference(unit_resolution,[status(thm)],[10827, 10826])).
% 7.48/5.43 tff(10829,plain,
% 7.48/5.43 (~v101(constB101)),
% 7.48/5.43 inference(unit_resolution,[status(thm)],[10828, 10821])).
% 7.48/5.43 tff(10830,plain,
% 7.48/5.43 (((~v101(constB101)) | (~v110(constB101))) | v101(constB101)),
% 7.48/5.43 inference(tautology,[status(thm)],[])).
% 7.48/5.43 tff(10831,plain,
% 7.48/5.43 ((~v101(constB101)) | (~v110(constB101))),
% 7.48/5.43 inference(unit_resolution,[status(thm)],[10830, 10829])).
% 7.48/5.43 tff(10832,plain,
% 7.48/5.43 ((~(v100(constB101) <=> (~((~v101(constB101)) | (~v110(constB101)))))) | (~v100(constB101)) | (~((~v101(constB101)) | (~v110(constB101))))),
% 7.48/5.43 inference(tautology,[status(thm)],[])).
% 7.48/5.43 tff(10833,plain,
% 7.48/5.43 (~v100(constB101)),
% 7.48/5.43 inference(unit_resolution,[status(thm)],[10832, 10831, 10814])).
% 7.48/5.43 tff(10834,plain,
% 7.48/5.43 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB101) | (~nextState(constB100, constB101)) | (~(((~v90(constB101, bitIndex1)) <=> v90(constB100, bitIndex1)) | ((~v90(constB101, bitIndex2)) <=> v90(constB100, bitIndex2)) | ((~v90(constB101, bitIndex0)) <=> v90(constB100, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB101) | (~nextState(constB100, constB101)) | (~(((~v90(constB101, bitIndex1)) <=> v90(constB100, bitIndex1)) | ((~v90(constB101, bitIndex2)) <=> v90(constB100, bitIndex2)) | ((~v90(constB101, bitIndex0)) <=> v90(constB100, bitIndex0)))))),
% 7.48/5.43 inference(rewrite,[status(thm)],[])).
% 7.48/5.43 tff(10835,plain,
% 7.48/5.43 ((v100(constB101) | (~nextState(constB100, constB101)) | (~(((~v90(constB101, bitIndex2)) <=> v90(constB100, bitIndex2)) | ((~v90(constB101, bitIndex1)) <=> v90(constB100, bitIndex1)) | ((~v90(constB101, bitIndex0)) <=> v90(constB100, bitIndex0))))) <=> (v100(constB101) | (~nextState(constB100, constB101)) | (~(((~v90(constB101, bitIndex1)) <=> v90(constB100, bitIndex1)) | ((~v90(constB101, bitIndex2)) <=> v90(constB100, bitIndex2)) | ((~v90(constB101, bitIndex0)) <=> v90(constB100, bitIndex0)))))),
% 7.48/5.43 inference(rewrite,[status(thm)],[])).
% 7.48/5.43 tff(10836,plain,
% 7.48/5.43 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB101) | (~nextState(constB100, constB101)) | (~(((~v90(constB101, bitIndex2)) <=> v90(constB100, bitIndex2)) | ((~v90(constB101, bitIndex1)) <=> v90(constB100, bitIndex1)) | ((~v90(constB101, bitIndex0)) <=> v90(constB100, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB101) | (~nextState(constB100, constB101)) | (~(((~v90(constB101, bitIndex1)) <=> v90(constB100, bitIndex1)) | ((~v90(constB101, bitIndex2)) <=> v90(constB100, bitIndex2)) | ((~v90(constB101, bitIndex0)) <=> v90(constB100, bitIndex0))))))),
% 7.48/5.43 inference(monotonicity,[status(thm)],[10835])).
% 7.48/5.43 tff(10837,plain,
% 7.48/5.43 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB101) | (~nextState(constB100, constB101)) | (~(((~v90(constB101, bitIndex2)) <=> v90(constB100, bitIndex2)) | ((~v90(constB101, bitIndex1)) <=> v90(constB100, bitIndex1)) | ((~v90(constB101, bitIndex0)) <=> v90(constB100, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB101) | (~nextState(constB100, constB101)) | (~(((~v90(constB101, bitIndex1)) <=> v90(constB100, bitIndex1)) | ((~v90(constB101, bitIndex2)) <=> v90(constB100, bitIndex2)) | ((~v90(constB101, bitIndex0)) <=> v90(constB100, bitIndex0)))))),
% 7.48/5.43 inference(transitivity,[status(thm)],[10836, 10834])).
% 7.48/5.43 tff(10838,plain,
% 7.48/5.43 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB101) | (~nextState(constB100, constB101)) | (~(((~v90(constB101, bitIndex2)) <=> v90(constB100, bitIndex2)) | ((~v90(constB101, bitIndex1)) <=> v90(constB100, bitIndex1)) | ((~v90(constB101, bitIndex0)) <=> v90(constB100, bitIndex0)))))),
% 7.48/5.43 inference(quant_inst,[status(thm)],[])).
% 7.48/5.43 tff(10839,plain,
% 7.48/5.43 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB101) | (~nextState(constB100, constB101)) | (~(((~v90(constB101, bitIndex1)) <=> v90(constB100, bitIndex1)) | ((~v90(constB101, bitIndex2)) <=> v90(constB100, bitIndex2)) | ((~v90(constB101, bitIndex0)) <=> v90(constB100, bitIndex0))))),
% 7.48/5.43 inference(modus_ponens,[status(thm)],[10838, 10837])).
% 7.48/5.43 tff(10840,plain,
% 7.48/5.43 (v100(constB101) | (~(((~v90(constB101, bitIndex1)) <=> v90(constB100, bitIndex1)) | ((~v90(constB101, bitIndex2)) <=> v90(constB100, bitIndex2)) | ((~v90(constB101, bitIndex0)) <=> v90(constB100, bitIndex0))))),
% 7.48/5.43 inference(unit_resolution,[status(thm)],[10839, 10810, 494])).
% 7.48/5.43 tff(10841,plain,
% 7.48/5.43 (~(((~v90(constB101, bitIndex1)) <=> v90(constB100, bitIndex1)) | ((~v90(constB101, bitIndex2)) <=> v90(constB100, bitIndex2)) | ((~v90(constB101, bitIndex0)) <=> v90(constB100, bitIndex0)))),
% 7.48/5.43 inference(unit_resolution,[status(thm)],[10840, 10833])).
% 7.48/5.43 tff(10842,plain,
% 7.48/5.43 ((((~v90(constB101, bitIndex1)) <=> v90(constB100, bitIndex1)) | ((~v90(constB101, bitIndex2)) <=> v90(constB100, bitIndex2)) | ((~v90(constB101, bitIndex0)) <=> v90(constB100, bitIndex0))) | (~((~v90(constB101, bitIndex2)) <=> v90(constB100, bitIndex2)))),
% 7.48/5.43 inference(tautology,[status(thm)],[])).
% 7.48/5.43 tff(10843,plain,
% 7.48/5.43 (~((~v90(constB101, bitIndex2)) <=> v90(constB100, bitIndex2))),
% 7.48/5.43 inference(unit_resolution,[status(thm)],[10842, 10841])).
% 7.48/5.43 tff(10844,plain,
% 7.48/5.43 (nextState(constB99, constB100) <=> nextState(constB99, constB100)),
% 7.48/5.43 inference(rewrite,[status(thm)],[])).
% 7.48/5.43 tff(10845,axiom,(nextState(constB99, constB100)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_99')).
% 7.48/5.43 tff(10846,plain,
% 7.48/5.43 (nextState(constB99, constB100)),
% 7.48/5.43 inference(modus_ponens,[status(thm)],[10845, 10844])).
% 7.48/5.43 tff(10847,plain,
% 7.48/5.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB99, constB100)) | (~(((~v129(constB100, bitIndex2)) <=> v127(constB99, bitIndex2)) | ((~v129(constB100, bitIndex1)) <=> v127(constB99, bitIndex1)) | ((~v129(constB100, bitIndex0)) <=> v127(constB99, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB99, constB100)) | (~(((~v129(constB100, bitIndex2)) <=> v127(constB99, bitIndex2)) | ((~v129(constB100, bitIndex1)) <=> v127(constB99, bitIndex1)) | ((~v129(constB100, bitIndex0)) <=> v127(constB99, bitIndex0)))))),
% 7.48/5.44 inference(rewrite,[status(thm)],[])).
% 7.48/5.44 tff(10848,plain,
% 7.48/5.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB99, constB100)) | (~(((~v129(constB100, bitIndex2)) <=> v127(constB99, bitIndex2)) | ((~v129(constB100, bitIndex1)) <=> v127(constB99, bitIndex1)) | ((~v129(constB100, bitIndex0)) <=> v127(constB99, bitIndex0)))))),
% 7.48/5.44 inference(quant_inst,[status(thm)],[])).
% 7.48/5.44 tff(10849,plain,
% 7.48/5.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB99, constB100)) | (~(((~v129(constB100, bitIndex2)) <=> v127(constB99, bitIndex2)) | ((~v129(constB100, bitIndex1)) <=> v127(constB99, bitIndex1)) | ((~v129(constB100, bitIndex0)) <=> v127(constB99, bitIndex0))))),
% 7.48/5.44 inference(modus_ponens,[status(thm)],[10848, 10847])).
% 7.48/5.44 tff(10850,plain,
% 7.48/5.44 (~(((~v129(constB100, bitIndex2)) <=> v127(constB99, bitIndex2)) | ((~v129(constB100, bitIndex1)) <=> v127(constB99, bitIndex1)) | ((~v129(constB100, bitIndex0)) <=> v127(constB99, bitIndex0)))),
% 7.48/5.44 inference(unit_resolution,[status(thm)],[10849, 10846, 517])).
% 7.48/5.44 tff(10851,plain,
% 7.48/5.44 ((((~v129(constB100, bitIndex2)) <=> v127(constB99, bitIndex2)) | ((~v129(constB100, bitIndex1)) <=> v127(constB99, bitIndex1)) | ((~v129(constB100, bitIndex0)) <=> v127(constB99, bitIndex0))) | (~((~v129(constB100, bitIndex2)) <=> v127(constB99, bitIndex2)))),
% 7.48/5.44 inference(tautology,[status(thm)],[])).
% 7.48/5.44 tff(10852,plain,
% 7.48/5.44 (~((~v129(constB100, bitIndex2)) <=> v127(constB99, bitIndex2))),
% 7.48/5.44 inference(unit_resolution,[status(thm)],[10851, 10850])).
% 7.48/5.44 tff(10853,plain,
% 7.48/5.44 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB99) <=> v26(constB99))),
% 7.48/5.44 inference(quant_inst,[status(thm)],[])).
% 7.48/5.44 tff(10854,plain,
% 7.48/5.44 (v111(constB99) <=> v26(constB99)),
% 7.48/5.44 inference(unit_resolution,[status(thm)],[10853, 536])).
% 7.48/5.44 tff(10855,plain,
% 7.48/5.44 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB99))),
% 7.48/5.44 inference(quant_inst,[status(thm)],[])).
% 7.48/5.44 tff(10856,plain,
% 7.48/5.44 (~v26(constB99)),
% 7.48/5.44 inference(unit_resolution,[status(thm)],[10855, 548])).
% 7.48/5.44 tff(10857,plain,
% 7.48/5.44 ((~(v111(constB99) <=> v26(constB99))) | (~v111(constB99)) | v26(constB99)),
% 7.48/5.44 inference(tautology,[status(thm)],[])).
% 7.48/5.44 tff(10858,plain,
% 7.48/5.44 ((~(v111(constB99) <=> v26(constB99))) | (~v111(constB99))),
% 7.48/5.44 inference(unit_resolution,[status(thm)],[10857, 10856])).
% 7.48/5.44 tff(10859,plain,
% 7.48/5.44 (~v111(constB99)),
% 7.48/5.44 inference(unit_resolution,[status(thm)],[10858, 10854])).
% 7.48/5.44 tff(10860,plain,
% 7.48/5.44 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB99) | (~(((~v127(constB99, bitIndex2)) <=> v130(constB99, bitIndex2)) | ((~v127(constB99, bitIndex1)) <=> v130(constB99, bitIndex1)) | ((~v127(constB99, bitIndex0)) <=> v130(constB99, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB99) | (~(((~v127(constB99, bitIndex2)) <=> v130(constB99, bitIndex2)) | ((~v127(constB99, bitIndex1)) <=> v130(constB99, bitIndex1)) | ((~v127(constB99, bitIndex0)) <=> v130(constB99, bitIndex0)))))),
% 7.48/5.44 inference(rewrite,[status(thm)],[])).
% 7.48/5.44 tff(10861,plain,
% 7.48/5.44 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB99) | (~(((~v127(constB99, bitIndex2)) <=> v130(constB99, bitIndex2)) | ((~v127(constB99, bitIndex1)) <=> v130(constB99, bitIndex1)) | ((~v127(constB99, bitIndex0)) <=> v130(constB99, bitIndex0)))))),
% 7.48/5.44 inference(quant_inst,[status(thm)],[])).
% 7.48/5.44 tff(10862,plain,
% 7.48/5.44 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB99) | (~(((~v127(constB99, bitIndex2)) <=> v130(constB99, bitIndex2)) | ((~v127(constB99, bitIndex1)) <=> v130(constB99, bitIndex1)) | ((~v127(constB99, bitIndex0)) <=> v130(constB99, bitIndex0))))),
% 7.48/5.44 inference(modus_ponens,[status(thm)],[10861, 10860])).
% 7.48/5.44 tff(10863,plain,
% 7.48/5.44 (v111(constB99) | (~(((~v127(constB99, bitIndex2)) <=> v130(constB99, bitIndex2)) | ((~v127(constB99, bitIndex1)) <=> v130(constB99, bitIndex1)) | ((~v127(constB99, bitIndex0)) <=> v130(constB99, bitIndex0))))),
% 7.48/5.44 inference(unit_resolution,[status(thm)],[10862, 566])).
% 7.48/5.44 tff(10864,plain,
% 7.48/5.44 (~(((~v127(constB99, bitIndex2)) <=> v130(constB99, bitIndex2)) | ((~v127(constB99, bitIndex1)) <=> v130(constB99, bitIndex1)) | ((~v127(constB99, bitIndex0)) <=> v130(constB99, bitIndex0)))),
% 7.48/5.44 inference(unit_resolution,[status(thm)],[10863, 10859])).
% 7.48/5.44 tff(10865,plain,
% 7.48/5.44 ((((~v127(constB99, bitIndex2)) <=> v130(constB99, bitIndex2)) | ((~v127(constB99, bitIndex1)) <=> v130(constB99, bitIndex1)) | ((~v127(constB99, bitIndex0)) <=> v130(constB99, bitIndex0))) | (~((~v127(constB99, bitIndex2)) <=> v130(constB99, bitIndex2)))),
% 7.48/5.44 inference(tautology,[status(thm)],[])).
% 7.48/5.44 tff(10866,plain,
% 7.48/5.44 (~((~v127(constB99, bitIndex2)) <=> v130(constB99, bitIndex2))),
% 7.48/5.44 inference(unit_resolution,[status(thm)],[10865, 10864])).
% 7.48/5.44 tff(10867,plain,
% 7.48/5.44 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB99) <=> (~(v90(constB99, bitIndex2) | v90(constB99, bitIndex0) | (~v90(constB99, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB99) <=> (~(v90(constB99, bitIndex2) | v90(constB99, bitIndex0) | (~v90(constB99, bitIndex1))))))),
% 7.48/5.44 inference(rewrite,[status(thm)],[])).
% 7.48/5.44 tff(10868,plain,
% 7.48/5.44 ((v121(constB99) <=> (~(v90(constB99, bitIndex0) | v90(constB99, bitIndex2) | (~v90(constB99, bitIndex1))))) <=> (v121(constB99) <=> (~(v90(constB99, bitIndex2) | v90(constB99, bitIndex0) | (~v90(constB99, bitIndex1)))))),
% 7.48/5.44 inference(rewrite,[status(thm)],[])).
% 7.48/5.44 tff(10869,plain,
% 7.48/5.44 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB99) <=> (~(v90(constB99, bitIndex0) | v90(constB99, bitIndex2) | (~v90(constB99, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB99) <=> (~(v90(constB99, bitIndex2) | v90(constB99, bitIndex0) | (~v90(constB99, bitIndex1))))))),
% 7.48/5.44 inference(monotonicity,[status(thm)],[10868])).
% 7.48/5.44 tff(10870,plain,
% 7.48/5.44 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB99) <=> (~(v90(constB99, bitIndex0) | v90(constB99, bitIndex2) | (~v90(constB99, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB99) <=> (~(v90(constB99, bitIndex2) | v90(constB99, bitIndex0) | (~v90(constB99, bitIndex1))))))),
% 7.48/5.44 inference(transitivity,[status(thm)],[10869, 10867])).
% 7.48/5.44 tff(10871,plain,
% 7.48/5.44 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB99) <=> (~(v90(constB99, bitIndex0) | v90(constB99, bitIndex2) | (~v90(constB99, bitIndex1)))))),
% 7.48/5.44 inference(quant_inst,[status(thm)],[])).
% 7.48/5.44 tff(10872,plain,
% 7.48/5.44 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB99) <=> (~(v90(constB99, bitIndex2) | v90(constB99, bitIndex0) | (~v90(constB99, bitIndex1)))))),
% 7.48/5.44 inference(modus_ponens,[status(thm)],[10871, 10870])).
% 7.48/5.44 tff(10873,plain,
% 7.48/5.44 (v121(constB99) <=> (~(v90(constB99, bitIndex2) | v90(constB99, bitIndex0) | (~v90(constB99, bitIndex1))))),
% 7.48/5.44 inference(unit_resolution,[status(thm)],[10872, 586])).
% 7.48/5.44 tff(10874,plain,
% 7.48/5.44 (nextState(constB98, constB99) <=> nextState(constB98, constB99)),
% 7.48/5.44 inference(rewrite,[status(thm)],[])).
% 7.48/5.44 tff(10875,axiom,(nextState(constB98, constB99)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_98')).
% 7.48/5.44 tff(10876,plain,
% 7.48/5.44 (nextState(constB98, constB99)),
% 7.48/5.44 inference(modus_ponens,[status(thm)],[10875, 10874])).
% 7.48/5.44 tff(10877,plain,
% 7.48/5.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB98, constB99)) | (v100(constB99) <=> (~((~v101(constB99)) | (~v110(constB99))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB98, constB99)) | (v100(constB99) <=> (~((~v101(constB99)) | (~v110(constB99))))))),
% 7.48/5.44 inference(rewrite,[status(thm)],[])).
% 7.48/5.44 tff(10878,plain,
% 7.48/5.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB98, constB99)) | (v100(constB99) <=> (~((~v101(constB99)) | (~v110(constB99))))))),
% 7.48/5.44 inference(quant_inst,[status(thm)],[])).
% 7.48/5.44 tff(10879,plain,
% 7.48/5.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB98, constB99)) | (v100(constB99) <=> (~((~v101(constB99)) | (~v110(constB99)))))),
% 7.48/5.44 inference(modus_ponens,[status(thm)],[10878, 10877])).
% 7.48/5.44 tff(10880,plain,
% 7.48/5.44 (v100(constB99) <=> (~((~v101(constB99)) | (~v110(constB99))))),
% 7.48/5.44 inference(unit_resolution,[status(thm)],[10879, 10876, 445])).
% 7.48/5.44 tff(10881,plain,
% 7.48/5.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB98, constB99)) | (v101(constB99) <=> (~((~v1(constB99)) | (~v102(constB99))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB98, constB99)) | (v101(constB99) <=> (~((~v1(constB99)) | (~v102(constB99))))))),
% 7.48/5.44 inference(rewrite,[status(thm)],[])).
% 7.48/5.44 tff(10882,plain,
% 7.48/5.44 (((~nextState(constB98, constB99)) | (v101(constB99) <=> (~((~v102(constB99)) | (~v1(constB99)))))) <=> ((~nextState(constB98, constB99)) | (v101(constB99) <=> (~((~v1(constB99)) | (~v102(constB99))))))),
% 7.48/5.44 inference(rewrite,[status(thm)],[])).
% 7.48/5.44 tff(10883,plain,
% 7.48/5.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB98, constB99)) | (v101(constB99) <=> (~((~v102(constB99)) | (~v1(constB99))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB98, constB99)) | (v101(constB99) <=> (~((~v1(constB99)) | (~v102(constB99)))))))),
% 7.48/5.44 inference(monotonicity,[status(thm)],[10882])).
% 7.48/5.44 tff(10884,plain,
% 7.48/5.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB98, constB99)) | (v101(constB99) <=> (~((~v102(constB99)) | (~v1(constB99))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB98, constB99)) | (v101(constB99) <=> (~((~v1(constB99)) | (~v102(constB99))))))),
% 7.48/5.44 inference(transitivity,[status(thm)],[10883, 10881])).
% 7.48/5.44 tff(10885,plain,
% 7.48/5.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB98, constB99)) | (v101(constB99) <=> (~((~v102(constB99)) | (~v1(constB99))))))),
% 7.48/5.44 inference(quant_inst,[status(thm)],[])).
% 7.48/5.44 tff(10886,plain,
% 7.48/5.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB98, constB99)) | (v101(constB99) <=> (~((~v1(constB99)) | (~v102(constB99)))))),
% 7.48/5.44 inference(modus_ponens,[status(thm)],[10885, 10884])).
% 7.48/5.44 tff(10887,plain,
% 7.48/5.44 (v101(constB99) <=> (~((~v1(constB99)) | (~v102(constB99))))),
% 7.48/5.44 inference(unit_resolution,[status(thm)],[10886, 10876, 465])).
% 7.48/5.44 tff(10888,plain,
% 7.48/5.44 ((~v1(constB99)) <=> (~v1(constB99))),
% 7.48/5.44 inference(rewrite,[status(thm)],[])).
% 7.48/5.44 tff(10889,axiom,(~v1(constB99)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_99')).
% 7.48/5.44 tff(10890,plain,
% 7.48/5.44 (~v1(constB99)),
% 7.48/5.44 inference(modus_ponens,[status(thm)],[10889, 10888])).
% 7.48/5.44 tff(10891,plain,
% 7.48/5.44 (((~v1(constB99)) | (~v102(constB99))) | v1(constB99)),
% 7.48/5.44 inference(tautology,[status(thm)],[])).
% 7.48/5.44 tff(10892,plain,
% 7.48/5.44 ((~v1(constB99)) | (~v102(constB99))),
% 7.48/5.44 inference(unit_resolution,[status(thm)],[10891, 10890])).
% 7.48/5.44 tff(10893,plain,
% 7.48/5.44 ((~(v101(constB99) <=> (~((~v1(constB99)) | (~v102(constB99)))))) | (~v101(constB99)) | (~((~v1(constB99)) | (~v102(constB99))))),
% 7.48/5.44 inference(tautology,[status(thm)],[])).
% 7.48/5.44 tff(10894,plain,
% 7.48/5.44 ((~(v101(constB99) <=> (~((~v1(constB99)) | (~v102(constB99)))))) | (~v101(constB99))),
% 7.48/5.44 inference(unit_resolution,[status(thm)],[10893, 10892])).
% 7.48/5.44 tff(10895,plain,
% 7.48/5.44 (~v101(constB99)),
% 7.48/5.44 inference(unit_resolution,[status(thm)],[10894, 10887])).
% 7.48/5.44 tff(10896,plain,
% 7.48/5.44 (((~v101(constB99)) | (~v110(constB99))) | v101(constB99)),
% 7.48/5.44 inference(tautology,[status(thm)],[])).
% 7.48/5.44 tff(10897,plain,
% 7.48/5.44 ((~v101(constB99)) | (~v110(constB99))),
% 7.48/5.44 inference(unit_resolution,[status(thm)],[10896, 10895])).
% 7.48/5.44 tff(10898,plain,
% 7.48/5.44 ((~(v100(constB99) <=> (~((~v101(constB99)) | (~v110(constB99)))))) | (~v100(constB99)) | (~((~v101(constB99)) | (~v110(constB99))))),
% 7.48/5.44 inference(tautology,[status(thm)],[])).
% 7.48/5.44 tff(10899,plain,
% 7.48/5.44 (~v100(constB99)),
% 7.48/5.44 inference(unit_resolution,[status(thm)],[10898, 10897, 10880])).
% 7.48/5.44 tff(10900,plain,
% 7.48/5.44 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB99) | (~nextState(constB98, constB99)) | (~(((~v90(constB99, bitIndex1)) <=> v90(constB98, bitIndex1)) | ((~v90(constB99, bitIndex2)) <=> v90(constB98, bitIndex2)) | ((~v90(constB99, bitIndex0)) <=> v90(constB98, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB99) | (~nextState(constB98, constB99)) | (~(((~v90(constB99, bitIndex1)) <=> v90(constB98, bitIndex1)) | ((~v90(constB99, bitIndex2)) <=> v90(constB98, bitIndex2)) | ((~v90(constB99, bitIndex0)) <=> v90(constB98, bitIndex0)))))),
% 7.48/5.44 inference(rewrite,[status(thm)],[])).
% 7.48/5.44 tff(10901,plain,
% 7.48/5.44 ((v100(constB99) | (~nextState(constB98, constB99)) | (~(((~v90(constB99, bitIndex2)) <=> v90(constB98, bitIndex2)) | ((~v90(constB99, bitIndex1)) <=> v90(constB98, bitIndex1)) | ((~v90(constB99, bitIndex0)) <=> v90(constB98, bitIndex0))))) <=> (v100(constB99) | (~nextState(constB98, constB99)) | (~(((~v90(constB99, bitIndex1)) <=> v90(constB98, bitIndex1)) | ((~v90(constB99, bitIndex2)) <=> v90(constB98, bitIndex2)) | ((~v90(constB99, bitIndex0)) <=> v90(constB98, bitIndex0)))))),
% 7.48/5.44 inference(rewrite,[status(thm)],[])).
% 7.48/5.44 tff(10902,plain,
% 7.48/5.44 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB99) | (~nextState(constB98, constB99)) | (~(((~v90(constB99, bitIndex2)) <=> v90(constB98, bitIndex2)) | ((~v90(constB99, bitIndex1)) <=> v90(constB98, bitIndex1)) | ((~v90(constB99, bitIndex0)) <=> v90(constB98, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB99) | (~nextState(constB98, constB99)) | (~(((~v90(constB99, bitIndex1)) <=> v90(constB98, bitIndex1)) | ((~v90(constB99, bitIndex2)) <=> v90(constB98, bitIndex2)) | ((~v90(constB99, bitIndex0)) <=> v90(constB98, bitIndex0))))))),
% 7.48/5.44 inference(monotonicity,[status(thm)],[10901])).
% 7.48/5.44 tff(10903,plain,
% 7.48/5.44 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB99) | (~nextState(constB98, constB99)) | (~(((~v90(constB99, bitIndex2)) <=> v90(constB98, bitIndex2)) | ((~v90(constB99, bitIndex1)) <=> v90(constB98, bitIndex1)) | ((~v90(constB99, bitIndex0)) <=> v90(constB98, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB99) | (~nextState(constB98, constB99)) | (~(((~v90(constB99, bitIndex1)) <=> v90(constB98, bitIndex1)) | ((~v90(constB99, bitIndex2)) <=> v90(constB98, bitIndex2)) | ((~v90(constB99, bitIndex0)) <=> v90(constB98, bitIndex0)))))),
% 7.48/5.44 inference(transitivity,[status(thm)],[10902, 10900])).
% 7.48/5.44 tff(10904,plain,
% 7.48/5.44 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB99) | (~nextState(constB98, constB99)) | (~(((~v90(constB99, bitIndex2)) <=> v90(constB98, bitIndex2)) | ((~v90(constB99, bitIndex1)) <=> v90(constB98, bitIndex1)) | ((~v90(constB99, bitIndex0)) <=> v90(constB98, bitIndex0)))))),
% 7.48/5.44 inference(quant_inst,[status(thm)],[])).
% 7.48/5.44 tff(10905,plain,
% 7.48/5.44 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB99) | (~nextState(constB98, constB99)) | (~(((~v90(constB99, bitIndex1)) <=> v90(constB98, bitIndex1)) | ((~v90(constB99, bitIndex2)) <=> v90(constB98, bitIndex2)) | ((~v90(constB99, bitIndex0)) <=> v90(constB98, bitIndex0))))),
% 7.48/5.44 inference(modus_ponens,[status(thm)],[10904, 10903])).
% 7.48/5.44 tff(10906,plain,
% 7.48/5.44 (v100(constB99) | (~(((~v90(constB99, bitIndex1)) <=> v90(constB98, bitIndex1)) | ((~v90(constB99, bitIndex2)) <=> v90(constB98, bitIndex2)) | ((~v90(constB99, bitIndex0)) <=> v90(constB98, bitIndex0))))),
% 7.48/5.44 inference(unit_resolution,[status(thm)],[10905, 10876, 494])).
% 7.48/5.44 tff(10907,plain,
% 7.48/5.44 (~(((~v90(constB99, bitIndex1)) <=> v90(constB98, bitIndex1)) | ((~v90(constB99, bitIndex2)) <=> v90(constB98, bitIndex2)) | ((~v90(constB99, bitIndex0)) <=> v90(constB98, bitIndex0)))),
% 7.48/5.44 inference(unit_resolution,[status(thm)],[10906, 10899])).
% 7.48/5.44 tff(10908,plain,
% 7.48/5.44 ((((~v90(constB99, bitIndex1)) <=> v90(constB98, bitIndex1)) | ((~v90(constB99, bitIndex2)) <=> v90(constB98, bitIndex2)) | ((~v90(constB99, bitIndex0)) <=> v90(constB98, bitIndex0))) | (~((~v90(constB99, bitIndex2)) <=> v90(constB98, bitIndex2)))),
% 7.48/5.44 inference(tautology,[status(thm)],[])).
% 7.48/5.44 tff(10909,plain,
% 7.48/5.44 (~((~v90(constB99, bitIndex2)) <=> v90(constB98, bitIndex2))),
% 7.48/5.44 inference(unit_resolution,[status(thm)],[10908, 10907])).
% 7.48/5.44 tff(10910,plain,
% 7.48/5.44 (nextState(constB97, constB98) <=> nextState(constB97, constB98)),
% 7.48/5.44 inference(rewrite,[status(thm)],[])).
% 7.48/5.44 tff(10911,axiom,(nextState(constB97, constB98)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_97')).
% 7.48/5.44 tff(10912,plain,
% 7.48/5.44 (nextState(constB97, constB98)),
% 7.48/5.44 inference(modus_ponens,[status(thm)],[10911, 10910])).
% 7.48/5.44 tff(10913,plain,
% 7.48/5.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB97, constB98)) | (~(((~v129(constB98, bitIndex2)) <=> v127(constB97, bitIndex2)) | ((~v129(constB98, bitIndex1)) <=> v127(constB97, bitIndex1)) | ((~v129(constB98, bitIndex0)) <=> v127(constB97, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB97, constB98)) | (~(((~v129(constB98, bitIndex2)) <=> v127(constB97, bitIndex2)) | ((~v129(constB98, bitIndex1)) <=> v127(constB97, bitIndex1)) | ((~v129(constB98, bitIndex0)) <=> v127(constB97, bitIndex0)))))),
% 7.48/5.44 inference(rewrite,[status(thm)],[])).
% 7.48/5.44 tff(10914,plain,
% 7.48/5.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB97, constB98)) | (~(((~v129(constB98, bitIndex2)) <=> v127(constB97, bitIndex2)) | ((~v129(constB98, bitIndex1)) <=> v127(constB97, bitIndex1)) | ((~v129(constB98, bitIndex0)) <=> v127(constB97, bitIndex0)))))),
% 7.48/5.44 inference(quant_inst,[status(thm)],[])).
% 7.48/5.44 tff(10915,plain,
% 7.48/5.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB97, constB98)) | (~(((~v129(constB98, bitIndex2)) <=> v127(constB97, bitIndex2)) | ((~v129(constB98, bitIndex1)) <=> v127(constB97, bitIndex1)) | ((~v129(constB98, bitIndex0)) <=> v127(constB97, bitIndex0))))),
% 7.48/5.44 inference(modus_ponens,[status(thm)],[10914, 10913])).
% 7.48/5.44 tff(10916,plain,
% 7.48/5.44 (~(((~v129(constB98, bitIndex2)) <=> v127(constB97, bitIndex2)) | ((~v129(constB98, bitIndex1)) <=> v127(constB97, bitIndex1)) | ((~v129(constB98, bitIndex0)) <=> v127(constB97, bitIndex0)))),
% 7.48/5.44 inference(unit_resolution,[status(thm)],[10915, 10912, 517])).
% 7.48/5.44 tff(10917,plain,
% 7.48/5.44 ((((~v129(constB98, bitIndex2)) <=> v127(constB97, bitIndex2)) | ((~v129(constB98, bitIndex1)) <=> v127(constB97, bitIndex1)) | ((~v129(constB98, bitIndex0)) <=> v127(constB97, bitIndex0))) | (~((~v129(constB98, bitIndex2)) <=> v127(constB97, bitIndex2)))),
% 7.48/5.44 inference(tautology,[status(thm)],[])).
% 7.48/5.44 tff(10918,plain,
% 7.48/5.44 (~((~v129(constB98, bitIndex2)) <=> v127(constB97, bitIndex2))),
% 7.48/5.44 inference(unit_resolution,[status(thm)],[10917, 10916])).
% 7.48/5.44 tff(10919,plain,
% 7.48/5.44 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB97) <=> v26(constB97))),
% 7.48/5.44 inference(quant_inst,[status(thm)],[])).
% 7.48/5.44 tff(10920,plain,
% 7.48/5.44 (v111(constB97) <=> v26(constB97)),
% 7.48/5.44 inference(unit_resolution,[status(thm)],[10919, 536])).
% 7.48/5.44 tff(10921,plain,
% 7.48/5.44 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB97))),
% 7.48/5.44 inference(quant_inst,[status(thm)],[])).
% 7.48/5.44 tff(10922,plain,
% 7.48/5.44 (~v26(constB97)),
% 7.48/5.44 inference(unit_resolution,[status(thm)],[10921, 548])).
% 7.48/5.44 tff(10923,plain,
% 7.48/5.44 ((~(v111(constB97) <=> v26(constB97))) | (~v111(constB97)) | v26(constB97)),
% 7.48/5.44 inference(tautology,[status(thm)],[])).
% 7.48/5.44 tff(10924,plain,
% 7.48/5.44 ((~(v111(constB97) <=> v26(constB97))) | (~v111(constB97))),
% 7.48/5.44 inference(unit_resolution,[status(thm)],[10923, 10922])).
% 7.48/5.44 tff(10925,plain,
% 7.48/5.44 (~v111(constB97)),
% 7.48/5.44 inference(unit_resolution,[status(thm)],[10924, 10920])).
% 7.48/5.44 tff(10926,plain,
% 7.48/5.44 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB97) | (~(((~v127(constB97, bitIndex2)) <=> v130(constB97, bitIndex2)) | ((~v127(constB97, bitIndex1)) <=> v130(constB97, bitIndex1)) | ((~v127(constB97, bitIndex0)) <=> v130(constB97, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB97) | (~(((~v127(constB97, bitIndex2)) <=> v130(constB97, bitIndex2)) | ((~v127(constB97, bitIndex1)) <=> v130(constB97, bitIndex1)) | ((~v127(constB97, bitIndex0)) <=> v130(constB97, bitIndex0)))))),
% 7.48/5.44 inference(rewrite,[status(thm)],[])).
% 7.48/5.44 tff(10927,plain,
% 7.48/5.44 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB97) | (~(((~v127(constB97, bitIndex2)) <=> v130(constB97, bitIndex2)) | ((~v127(constB97, bitIndex1)) <=> v130(constB97, bitIndex1)) | ((~v127(constB97, bitIndex0)) <=> v130(constB97, bitIndex0)))))),
% 7.48/5.44 inference(quant_inst,[status(thm)],[])).
% 7.48/5.44 tff(10928,plain,
% 7.48/5.44 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB97) | (~(((~v127(constB97, bitIndex2)) <=> v130(constB97, bitIndex2)) | ((~v127(constB97, bitIndex1)) <=> v130(constB97, bitIndex1)) | ((~v127(constB97, bitIndex0)) <=> v130(constB97, bitIndex0))))),
% 7.48/5.44 inference(modus_ponens,[status(thm)],[10927, 10926])).
% 7.48/5.44 tff(10929,plain,
% 7.48/5.44 (v111(constB97) | (~(((~v127(constB97, bitIndex2)) <=> v130(constB97, bitIndex2)) | ((~v127(constB97, bitIndex1)) <=> v130(constB97, bitIndex1)) | ((~v127(constB97, bitIndex0)) <=> v130(constB97, bitIndex0))))),
% 7.48/5.44 inference(unit_resolution,[status(thm)],[10928, 566])).
% 7.48/5.44 tff(10930,plain,
% 7.48/5.44 (~(((~v127(constB97, bitIndex2)) <=> v130(constB97, bitIndex2)) | ((~v127(constB97, bitIndex1)) <=> v130(constB97, bitIndex1)) | ((~v127(constB97, bitIndex0)) <=> v130(constB97, bitIndex0)))),
% 7.48/5.44 inference(unit_resolution,[status(thm)],[10929, 10925])).
% 7.48/5.44 tff(10931,plain,
% 7.48/5.44 ((((~v127(constB97, bitIndex2)) <=> v130(constB97, bitIndex2)) | ((~v127(constB97, bitIndex1)) <=> v130(constB97, bitIndex1)) | ((~v127(constB97, bitIndex0)) <=> v130(constB97, bitIndex0))) | (~((~v127(constB97, bitIndex2)) <=> v130(constB97, bitIndex2)))),
% 7.48/5.44 inference(tautology,[status(thm)],[])).
% 7.48/5.44 tff(10932,plain,
% 7.48/5.44 (~((~v127(constB97, bitIndex2)) <=> v130(constB97, bitIndex2))),
% 7.48/5.44 inference(unit_resolution,[status(thm)],[10931, 10930])).
% 7.48/5.44 tff(10933,plain,
% 7.48/5.44 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB97) <=> (~(v90(constB97, bitIndex1) | v90(constB97, bitIndex2) | (~v90(constB97, bitIndex0)))))),
% 7.48/5.44 inference(quant_inst,[status(thm)],[])).
% 7.48/5.44 tff(10934,plain,
% 7.48/5.44 (v120(constB97) <=> (~(v90(constB97, bitIndex1) | v90(constB97, bitIndex2) | (~v90(constB97, bitIndex0))))),
% 7.48/5.45 inference(unit_resolution,[status(thm)],[10933, 665])).
% 7.48/5.45 tff(10935,plain,
% 7.48/5.45 (nextState(constB96, constB97) <=> nextState(constB96, constB97)),
% 7.48/5.45 inference(rewrite,[status(thm)],[])).
% 7.48/5.45 tff(10936,axiom,(nextState(constB96, constB97)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_96')).
% 7.48/5.45 tff(10937,plain,
% 7.48/5.45 (nextState(constB96, constB97)),
% 7.48/5.45 inference(modus_ponens,[status(thm)],[10936, 10935])).
% 7.48/5.45 tff(10938,plain,
% 7.48/5.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB96, constB97)) | (v100(constB97) <=> (~((~v101(constB97)) | (~v110(constB97))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB96, constB97)) | (v100(constB97) <=> (~((~v101(constB97)) | (~v110(constB97))))))),
% 7.48/5.45 inference(rewrite,[status(thm)],[])).
% 7.48/5.45 tff(10939,plain,
% 7.48/5.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB96, constB97)) | (v100(constB97) <=> (~((~v101(constB97)) | (~v110(constB97))))))),
% 7.48/5.45 inference(quant_inst,[status(thm)],[])).
% 7.48/5.45 tff(10940,plain,
% 7.48/5.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB96, constB97)) | (v100(constB97) <=> (~((~v101(constB97)) | (~v110(constB97)))))),
% 7.48/5.45 inference(modus_ponens,[status(thm)],[10939, 10938])).
% 7.48/5.45 tff(10941,plain,
% 7.48/5.45 (v100(constB97) <=> (~((~v101(constB97)) | (~v110(constB97))))),
% 7.48/5.45 inference(unit_resolution,[status(thm)],[10940, 10937, 445])).
% 7.48/5.45 tff(10942,plain,
% 7.48/5.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB96, constB97)) | (v101(constB97) <=> (~((~v1(constB97)) | (~v102(constB97))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB96, constB97)) | (v101(constB97) <=> (~((~v1(constB97)) | (~v102(constB97))))))),
% 7.48/5.45 inference(rewrite,[status(thm)],[])).
% 7.48/5.45 tff(10943,plain,
% 7.48/5.45 (((~nextState(constB96, constB97)) | (v101(constB97) <=> (~((~v102(constB97)) | (~v1(constB97)))))) <=> ((~nextState(constB96, constB97)) | (v101(constB97) <=> (~((~v1(constB97)) | (~v102(constB97))))))),
% 7.48/5.45 inference(rewrite,[status(thm)],[])).
% 7.48/5.45 tff(10944,plain,
% 7.48/5.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB96, constB97)) | (v101(constB97) <=> (~((~v102(constB97)) | (~v1(constB97))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB96, constB97)) | (v101(constB97) <=> (~((~v1(constB97)) | (~v102(constB97)))))))),
% 7.48/5.45 inference(monotonicity,[status(thm)],[10943])).
% 7.48/5.45 tff(10945,plain,
% 7.48/5.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB96, constB97)) | (v101(constB97) <=> (~((~v102(constB97)) | (~v1(constB97))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB96, constB97)) | (v101(constB97) <=> (~((~v1(constB97)) | (~v102(constB97))))))),
% 7.48/5.45 inference(transitivity,[status(thm)],[10944, 10942])).
% 7.48/5.45 tff(10946,plain,
% 7.48/5.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB96, constB97)) | (v101(constB97) <=> (~((~v102(constB97)) | (~v1(constB97))))))),
% 7.48/5.45 inference(quant_inst,[status(thm)],[])).
% 7.48/5.45 tff(10947,plain,
% 7.48/5.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB96, constB97)) | (v101(constB97) <=> (~((~v1(constB97)) | (~v102(constB97)))))),
% 7.48/5.45 inference(modus_ponens,[status(thm)],[10946, 10945])).
% 7.48/5.45 tff(10948,plain,
% 7.48/5.45 (v101(constB97) <=> (~((~v1(constB97)) | (~v102(constB97))))),
% 7.48/5.45 inference(unit_resolution,[status(thm)],[10947, 10937, 465])).
% 7.48/5.45 tff(10949,plain,
% 7.48/5.45 ((~v1(constB97)) <=> (~v1(constB97))),
% 7.48/5.45 inference(rewrite,[status(thm)],[])).
% 7.48/5.45 tff(10950,axiom,(~v1(constB97)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_97')).
% 7.48/5.45 tff(10951,plain,
% 7.48/5.45 (~v1(constB97)),
% 7.48/5.45 inference(modus_ponens,[status(thm)],[10950, 10949])).
% 7.48/5.45 tff(10952,plain,
% 7.48/5.45 (((~v1(constB97)) | (~v102(constB97))) | v1(constB97)),
% 7.48/5.45 inference(tautology,[status(thm)],[])).
% 7.48/5.45 tff(10953,plain,
% 7.48/5.45 ((~v1(constB97)) | (~v102(constB97))),
% 7.48/5.45 inference(unit_resolution,[status(thm)],[10952, 10951])).
% 7.48/5.45 tff(10954,plain,
% 7.48/5.45 ((~(v101(constB97) <=> (~((~v1(constB97)) | (~v102(constB97)))))) | (~v101(constB97)) | (~((~v1(constB97)) | (~v102(constB97))))),
% 7.48/5.45 inference(tautology,[status(thm)],[])).
% 7.48/5.45 tff(10955,plain,
% 7.48/5.45 ((~(v101(constB97) <=> (~((~v1(constB97)) | (~v102(constB97)))))) | (~v101(constB97))),
% 7.48/5.45 inference(unit_resolution,[status(thm)],[10954, 10953])).
% 7.48/5.45 tff(10956,plain,
% 7.48/5.45 (~v101(constB97)),
% 7.48/5.45 inference(unit_resolution,[status(thm)],[10955, 10948])).
% 7.48/5.45 tff(10957,plain,
% 7.48/5.45 (((~v101(constB97)) | (~v110(constB97))) | v101(constB97)),
% 7.48/5.45 inference(tautology,[status(thm)],[])).
% 7.48/5.45 tff(10958,plain,
% 7.48/5.45 ((~v101(constB97)) | (~v110(constB97))),
% 7.48/5.45 inference(unit_resolution,[status(thm)],[10957, 10956])).
% 7.48/5.45 tff(10959,plain,
% 7.48/5.45 ((~(v100(constB97) <=> (~((~v101(constB97)) | (~v110(constB97)))))) | (~v100(constB97)) | (~((~v101(constB97)) | (~v110(constB97))))),
% 7.48/5.45 inference(tautology,[status(thm)],[])).
% 7.48/5.45 tff(10960,plain,
% 7.48/5.45 (~v100(constB97)),
% 7.48/5.45 inference(unit_resolution,[status(thm)],[10959, 10958, 10941])).
% 7.48/5.45 tff(10961,plain,
% 7.48/5.45 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB97) | (~nextState(constB96, constB97)) | (~(((~v90(constB97, bitIndex1)) <=> v90(constB96, bitIndex1)) | ((~v90(constB97, bitIndex2)) <=> v90(constB96, bitIndex2)) | ((~v90(constB97, bitIndex0)) <=> v90(constB96, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB97) | (~nextState(constB96, constB97)) | (~(((~v90(constB97, bitIndex1)) <=> v90(constB96, bitIndex1)) | ((~v90(constB97, bitIndex2)) <=> v90(constB96, bitIndex2)) | ((~v90(constB97, bitIndex0)) <=> v90(constB96, bitIndex0)))))),
% 7.48/5.45 inference(rewrite,[status(thm)],[])).
% 7.48/5.45 tff(10962,plain,
% 7.48/5.45 ((v100(constB97) | (~nextState(constB96, constB97)) | (~(((~v90(constB97, bitIndex2)) <=> v90(constB96, bitIndex2)) | ((~v90(constB97, bitIndex1)) <=> v90(constB96, bitIndex1)) | ((~v90(constB97, bitIndex0)) <=> v90(constB96, bitIndex0))))) <=> (v100(constB97) | (~nextState(constB96, constB97)) | (~(((~v90(constB97, bitIndex1)) <=> v90(constB96, bitIndex1)) | ((~v90(constB97, bitIndex2)) <=> v90(constB96, bitIndex2)) | ((~v90(constB97, bitIndex0)) <=> v90(constB96, bitIndex0)))))),
% 7.48/5.45 inference(rewrite,[status(thm)],[])).
% 7.48/5.45 tff(10963,plain,
% 7.48/5.45 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB97) | (~nextState(constB96, constB97)) | (~(((~v90(constB97, bitIndex2)) <=> v90(constB96, bitIndex2)) | ((~v90(constB97, bitIndex1)) <=> v90(constB96, bitIndex1)) | ((~v90(constB97, bitIndex0)) <=> v90(constB96, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB97) | (~nextState(constB96, constB97)) | (~(((~v90(constB97, bitIndex1)) <=> v90(constB96, bitIndex1)) | ((~v90(constB97, bitIndex2)) <=> v90(constB96, bitIndex2)) | ((~v90(constB97, bitIndex0)) <=> v90(constB96, bitIndex0))))))),
% 7.48/5.45 inference(monotonicity,[status(thm)],[10962])).
% 7.48/5.45 tff(10964,plain,
% 7.48/5.45 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB97) | (~nextState(constB96, constB97)) | (~(((~v90(constB97, bitIndex2)) <=> v90(constB96, bitIndex2)) | ((~v90(constB97, bitIndex1)) <=> v90(constB96, bitIndex1)) | ((~v90(constB97, bitIndex0)) <=> v90(constB96, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB97) | (~nextState(constB96, constB97)) | (~(((~v90(constB97, bitIndex1)) <=> v90(constB96, bitIndex1)) | ((~v90(constB97, bitIndex2)) <=> v90(constB96, bitIndex2)) | ((~v90(constB97, bitIndex0)) <=> v90(constB96, bitIndex0)))))),
% 7.48/5.45 inference(transitivity,[status(thm)],[10963, 10961])).
% 7.48/5.45 tff(10965,plain,
% 7.48/5.45 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB97) | (~nextState(constB96, constB97)) | (~(((~v90(constB97, bitIndex2)) <=> v90(constB96, bitIndex2)) | ((~v90(constB97, bitIndex1)) <=> v90(constB96, bitIndex1)) | ((~v90(constB97, bitIndex0)) <=> v90(constB96, bitIndex0)))))),
% 7.48/5.45 inference(quant_inst,[status(thm)],[])).
% 7.48/5.45 tff(10966,plain,
% 7.48/5.45 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB97) | (~nextState(constB96, constB97)) | (~(((~v90(constB97, bitIndex1)) <=> v90(constB96, bitIndex1)) | ((~v90(constB97, bitIndex2)) <=> v90(constB96, bitIndex2)) | ((~v90(constB97, bitIndex0)) <=> v90(constB96, bitIndex0))))),
% 7.48/5.45 inference(modus_ponens,[status(thm)],[10965, 10964])).
% 7.48/5.45 tff(10967,plain,
% 7.48/5.45 (v100(constB97) | (~(((~v90(constB97, bitIndex1)) <=> v90(constB96, bitIndex1)) | ((~v90(constB97, bitIndex2)) <=> v90(constB96, bitIndex2)) | ((~v90(constB97, bitIndex0)) <=> v90(constB96, bitIndex0))))),
% 7.48/5.45 inference(unit_resolution,[status(thm)],[10966, 10937, 494])).
% 7.48/5.45 tff(10968,plain,
% 7.48/5.45 (~(((~v90(constB97, bitIndex1)) <=> v90(constB96, bitIndex1)) | ((~v90(constB97, bitIndex2)) <=> v90(constB96, bitIndex2)) | ((~v90(constB97, bitIndex0)) <=> v90(constB96, bitIndex0)))),
% 7.48/5.45 inference(unit_resolution,[status(thm)],[10967, 10960])).
% 7.48/5.45 tff(10969,plain,
% 7.48/5.45 ((((~v90(constB97, bitIndex1)) <=> v90(constB96, bitIndex1)) | ((~v90(constB97, bitIndex2)) <=> v90(constB96, bitIndex2)) | ((~v90(constB97, bitIndex0)) <=> v90(constB96, bitIndex0))) | (~((~v90(constB97, bitIndex2)) <=> v90(constB96, bitIndex2)))),
% 7.48/5.45 inference(tautology,[status(thm)],[])).
% 7.48/5.45 tff(10970,plain,
% 7.48/5.45 (~((~v90(constB97, bitIndex2)) <=> v90(constB96, bitIndex2))),
% 7.48/5.45 inference(unit_resolution,[status(thm)],[10969, 10968])).
% 7.48/5.45 tff(10971,plain,
% 7.48/5.45 (nextState(constB95, constB96) <=> nextState(constB95, constB96)),
% 7.48/5.45 inference(rewrite,[status(thm)],[])).
% 7.48/5.45 tff(10972,axiom,(nextState(constB95, constB96)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_95')).
% 7.48/5.45 tff(10973,plain,
% 7.48/5.45 (nextState(constB95, constB96)),
% 7.48/5.45 inference(modus_ponens,[status(thm)],[10972, 10971])).
% 7.48/5.45 tff(10974,plain,
% 7.48/5.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB95, constB96)) | (~(((~v129(constB96, bitIndex2)) <=> v127(constB95, bitIndex2)) | ((~v129(constB96, bitIndex1)) <=> v127(constB95, bitIndex1)) | ((~v129(constB96, bitIndex0)) <=> v127(constB95, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB95, constB96)) | (~(((~v129(constB96, bitIndex2)) <=> v127(constB95, bitIndex2)) | ((~v129(constB96, bitIndex1)) <=> v127(constB95, bitIndex1)) | ((~v129(constB96, bitIndex0)) <=> v127(constB95, bitIndex0)))))),
% 7.48/5.45 inference(rewrite,[status(thm)],[])).
% 7.48/5.45 tff(10975,plain,
% 7.48/5.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB95, constB96)) | (~(((~v129(constB96, bitIndex2)) <=> v127(constB95, bitIndex2)) | ((~v129(constB96, bitIndex1)) <=> v127(constB95, bitIndex1)) | ((~v129(constB96, bitIndex0)) <=> v127(constB95, bitIndex0)))))),
% 7.48/5.45 inference(quant_inst,[status(thm)],[])).
% 7.48/5.45 tff(10976,plain,
% 7.48/5.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB95, constB96)) | (~(((~v129(constB96, bitIndex2)) <=> v127(constB95, bitIndex2)) | ((~v129(constB96, bitIndex1)) <=> v127(constB95, bitIndex1)) | ((~v129(constB96, bitIndex0)) <=> v127(constB95, bitIndex0))))),
% 7.48/5.45 inference(modus_ponens,[status(thm)],[10975, 10974])).
% 7.48/5.45 tff(10977,plain,
% 7.48/5.45 (~(((~v129(constB96, bitIndex2)) <=> v127(constB95, bitIndex2)) | ((~v129(constB96, bitIndex1)) <=> v127(constB95, bitIndex1)) | ((~v129(constB96, bitIndex0)) <=> v127(constB95, bitIndex0)))),
% 7.48/5.45 inference(unit_resolution,[status(thm)],[10976, 10973, 517])).
% 7.48/5.45 tff(10978,plain,
% 7.48/5.45 ((((~v129(constB96, bitIndex2)) <=> v127(constB95, bitIndex2)) | ((~v129(constB96, bitIndex1)) <=> v127(constB95, bitIndex1)) | ((~v129(constB96, bitIndex0)) <=> v127(constB95, bitIndex0))) | (~((~v129(constB96, bitIndex2)) <=> v127(constB95, bitIndex2)))),
% 7.48/5.45 inference(tautology,[status(thm)],[])).
% 7.48/5.45 tff(10979,plain,
% 7.48/5.45 (~((~v129(constB96, bitIndex2)) <=> v127(constB95, bitIndex2))),
% 7.48/5.45 inference(unit_resolution,[status(thm)],[10978, 10977])).
% 7.48/5.45 tff(10980,plain,
% 7.48/5.45 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB95) <=> v26(constB95))),
% 7.48/5.45 inference(quant_inst,[status(thm)],[])).
% 7.48/5.45 tff(10981,plain,
% 7.48/5.45 (v111(constB95) <=> v26(constB95)),
% 7.48/5.45 inference(unit_resolution,[status(thm)],[10980, 536])).
% 7.48/5.45 tff(10982,plain,
% 7.48/5.45 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB95))),
% 7.48/5.45 inference(quant_inst,[status(thm)],[])).
% 7.48/5.45 tff(10983,plain,
% 7.48/5.45 (~v26(constB95)),
% 7.48/5.45 inference(unit_resolution,[status(thm)],[10982, 548])).
% 7.48/5.45 tff(10984,plain,
% 7.48/5.45 ((~(v111(constB95) <=> v26(constB95))) | (~v111(constB95)) | v26(constB95)),
% 7.48/5.45 inference(tautology,[status(thm)],[])).
% 7.48/5.45 tff(10985,plain,
% 7.48/5.45 ((~(v111(constB95) <=> v26(constB95))) | (~v111(constB95))),
% 7.48/5.45 inference(unit_resolution,[status(thm)],[10984, 10983])).
% 7.48/5.45 tff(10986,plain,
% 7.48/5.45 (~v111(constB95)),
% 7.48/5.45 inference(unit_resolution,[status(thm)],[10985, 10981])).
% 7.48/5.45 tff(10987,plain,
% 7.48/5.45 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB95) | (~(((~v127(constB95, bitIndex2)) <=> v130(constB95, bitIndex2)) | ((~v127(constB95, bitIndex1)) <=> v130(constB95, bitIndex1)) | ((~v127(constB95, bitIndex0)) <=> v130(constB95, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB95) | (~(((~v127(constB95, bitIndex2)) <=> v130(constB95, bitIndex2)) | ((~v127(constB95, bitIndex1)) <=> v130(constB95, bitIndex1)) | ((~v127(constB95, bitIndex0)) <=> v130(constB95, bitIndex0)))))),
% 7.48/5.45 inference(rewrite,[status(thm)],[])).
% 7.48/5.45 tff(10988,plain,
% 7.48/5.45 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB95) | (~(((~v127(constB95, bitIndex2)) <=> v130(constB95, bitIndex2)) | ((~v127(constB95, bitIndex1)) <=> v130(constB95, bitIndex1)) | ((~v127(constB95, bitIndex0)) <=> v130(constB95, bitIndex0)))))),
% 7.48/5.45 inference(quant_inst,[status(thm)],[])).
% 7.48/5.45 tff(10989,plain,
% 7.48/5.45 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB95) | (~(((~v127(constB95, bitIndex2)) <=> v130(constB95, bitIndex2)) | ((~v127(constB95, bitIndex1)) <=> v130(constB95, bitIndex1)) | ((~v127(constB95, bitIndex0)) <=> v130(constB95, bitIndex0))))),
% 7.48/5.45 inference(modus_ponens,[status(thm)],[10988, 10987])).
% 7.48/5.45 tff(10990,plain,
% 7.48/5.45 (v111(constB95) | (~(((~v127(constB95, bitIndex2)) <=> v130(constB95, bitIndex2)) | ((~v127(constB95, bitIndex1)) <=> v130(constB95, bitIndex1)) | ((~v127(constB95, bitIndex0)) <=> v130(constB95, bitIndex0))))),
% 7.48/5.45 inference(unit_resolution,[status(thm)],[10989, 566])).
% 7.48/5.45 tff(10991,plain,
% 7.48/5.45 (~(((~v127(constB95, bitIndex2)) <=> v130(constB95, bitIndex2)) | ((~v127(constB95, bitIndex1)) <=> v130(constB95, bitIndex1)) | ((~v127(constB95, bitIndex0)) <=> v130(constB95, bitIndex0)))),
% 7.48/5.45 inference(unit_resolution,[status(thm)],[10990, 10986])).
% 7.48/5.45 tff(10992,plain,
% 7.48/5.45 ((((~v127(constB95, bitIndex2)) <=> v130(constB95, bitIndex2)) | ((~v127(constB95, bitIndex1)) <=> v130(constB95, bitIndex1)) | ((~v127(constB95, bitIndex0)) <=> v130(constB95, bitIndex0))) | (~((~v127(constB95, bitIndex2)) <=> v130(constB95, bitIndex2)))),
% 7.48/5.45 inference(tautology,[status(thm)],[])).
% 7.48/5.45 tff(10993,plain,
% 7.48/5.45 (~((~v127(constB95, bitIndex2)) <=> v130(constB95, bitIndex2))),
% 7.48/5.45 inference(unit_resolution,[status(thm)],[10992, 10991])).
% 7.48/5.45 tff(10994,plain,
% 7.48/5.45 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB95) <=> (~(v90(constB95, bitIndex1) | v90(constB95, bitIndex2) | (~v90(constB95, bitIndex0)))))),
% 7.48/5.45 inference(quant_inst,[status(thm)],[])).
% 7.48/5.45 tff(10995,plain,
% 7.48/5.45 (v120(constB95) <=> (~(v90(constB95, bitIndex1) | v90(constB95, bitIndex2) | (~v90(constB95, bitIndex0))))),
% 7.48/5.45 inference(unit_resolution,[status(thm)],[10994, 665])).
% 7.48/5.45 tff(10996,plain,
% 7.48/5.45 (nextState(constB94, constB95) <=> nextState(constB94, constB95)),
% 7.48/5.45 inference(rewrite,[status(thm)],[])).
% 7.48/5.45 tff(10997,axiom,(nextState(constB94, constB95)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_94')).
% 7.48/5.45 tff(10998,plain,
% 7.48/5.45 (nextState(constB94, constB95)),
% 7.48/5.45 inference(modus_ponens,[status(thm)],[10997, 10996])).
% 7.48/5.45 tff(10999,plain,
% 7.48/5.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB94, constB95)) | (v100(constB95) <=> (~((~v101(constB95)) | (~v110(constB95))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB94, constB95)) | (v100(constB95) <=> (~((~v101(constB95)) | (~v110(constB95))))))),
% 7.48/5.45 inference(rewrite,[status(thm)],[])).
% 7.48/5.45 tff(11000,plain,
% 7.48/5.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB94, constB95)) | (v100(constB95) <=> (~((~v101(constB95)) | (~v110(constB95))))))),
% 7.48/5.45 inference(quant_inst,[status(thm)],[])).
% 7.48/5.45 tff(11001,plain,
% 7.48/5.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB94, constB95)) | (v100(constB95) <=> (~((~v101(constB95)) | (~v110(constB95)))))),
% 7.48/5.45 inference(modus_ponens,[status(thm)],[11000, 10999])).
% 7.48/5.45 tff(11002,plain,
% 7.48/5.45 (v100(constB95) <=> (~((~v101(constB95)) | (~v110(constB95))))),
% 7.48/5.45 inference(unit_resolution,[status(thm)],[11001, 10998, 445])).
% 7.48/5.45 tff(11003,plain,
% 7.48/5.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB94, constB95)) | (v101(constB95) <=> (~((~v1(constB95)) | (~v102(constB95))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB94, constB95)) | (v101(constB95) <=> (~((~v1(constB95)) | (~v102(constB95))))))),
% 7.48/5.45 inference(rewrite,[status(thm)],[])).
% 7.48/5.45 tff(11004,plain,
% 7.48/5.45 (((~nextState(constB94, constB95)) | (v101(constB95) <=> (~((~v102(constB95)) | (~v1(constB95)))))) <=> ((~nextState(constB94, constB95)) | (v101(constB95) <=> (~((~v1(constB95)) | (~v102(constB95))))))),
% 7.48/5.45 inference(rewrite,[status(thm)],[])).
% 7.48/5.45 tff(11005,plain,
% 7.48/5.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB94, constB95)) | (v101(constB95) <=> (~((~v102(constB95)) | (~v1(constB95))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB94, constB95)) | (v101(constB95) <=> (~((~v1(constB95)) | (~v102(constB95)))))))),
% 7.48/5.45 inference(monotonicity,[status(thm)],[11004])).
% 7.48/5.45 tff(11006,plain,
% 7.48/5.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB94, constB95)) | (v101(constB95) <=> (~((~v102(constB95)) | (~v1(constB95))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB94, constB95)) | (v101(constB95) <=> (~((~v1(constB95)) | (~v102(constB95))))))),
% 7.48/5.45 inference(transitivity,[status(thm)],[11005, 11003])).
% 7.48/5.45 tff(11007,plain,
% 7.48/5.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB94, constB95)) | (v101(constB95) <=> (~((~v102(constB95)) | (~v1(constB95))))))),
% 7.48/5.45 inference(quant_inst,[status(thm)],[])).
% 7.48/5.45 tff(11008,plain,
% 7.48/5.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB94, constB95)) | (v101(constB95) <=> (~((~v1(constB95)) | (~v102(constB95)))))),
% 7.48/5.45 inference(modus_ponens,[status(thm)],[11007, 11006])).
% 7.48/5.45 tff(11009,plain,
% 7.48/5.45 (v101(constB95) <=> (~((~v1(constB95)) | (~v102(constB95))))),
% 7.48/5.45 inference(unit_resolution,[status(thm)],[11008, 10998, 465])).
% 7.48/5.45 tff(11010,plain,
% 7.48/5.45 ((~v1(constB95)) <=> (~v1(constB95))),
% 7.48/5.45 inference(rewrite,[status(thm)],[])).
% 7.48/5.45 tff(11011,axiom,(~v1(constB95)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_95')).
% 7.48/5.45 tff(11012,plain,
% 7.48/5.45 (~v1(constB95)),
% 7.48/5.45 inference(modus_ponens,[status(thm)],[11011, 11010])).
% 7.48/5.45 tff(11013,plain,
% 7.48/5.45 (((~v1(constB95)) | (~v102(constB95))) | v1(constB95)),
% 7.48/5.45 inference(tautology,[status(thm)],[])).
% 7.48/5.45 tff(11014,plain,
% 7.48/5.45 ((~v1(constB95)) | (~v102(constB95))),
% 7.48/5.45 inference(unit_resolution,[status(thm)],[11013, 11012])).
% 7.48/5.45 tff(11015,plain,
% 7.48/5.45 ((~(v101(constB95) <=> (~((~v1(constB95)) | (~v102(constB95)))))) | (~v101(constB95)) | (~((~v1(constB95)) | (~v102(constB95))))),
% 7.48/5.45 inference(tautology,[status(thm)],[])).
% 7.48/5.45 tff(11016,plain,
% 7.48/5.45 ((~(v101(constB95) <=> (~((~v1(constB95)) | (~v102(constB95)))))) | (~v101(constB95))),
% 7.48/5.45 inference(unit_resolution,[status(thm)],[11015, 11014])).
% 7.48/5.45 tff(11017,plain,
% 7.48/5.45 (~v101(constB95)),
% 7.48/5.45 inference(unit_resolution,[status(thm)],[11016, 11009])).
% 7.48/5.45 tff(11018,plain,
% 7.48/5.45 (((~v101(constB95)) | (~v110(constB95))) | v101(constB95)),
% 7.48/5.45 inference(tautology,[status(thm)],[])).
% 7.48/5.45 tff(11019,plain,
% 7.48/5.45 ((~v101(constB95)) | (~v110(constB95))),
% 7.48/5.45 inference(unit_resolution,[status(thm)],[11018, 11017])).
% 7.48/5.45 tff(11020,plain,
% 7.48/5.45 ((~(v100(constB95) <=> (~((~v101(constB95)) | (~v110(constB95)))))) | (~v100(constB95)) | (~((~v101(constB95)) | (~v110(constB95))))),
% 7.48/5.45 inference(tautology,[status(thm)],[])).
% 7.48/5.45 tff(11021,plain,
% 7.48/5.45 (~v100(constB95)),
% 7.48/5.45 inference(unit_resolution,[status(thm)],[11020, 11019, 11002])).
% 7.48/5.45 tff(11022,plain,
% 7.48/5.45 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB95) | (~nextState(constB94, constB95)) | (~(((~v90(constB95, bitIndex1)) <=> v90(constB94, bitIndex1)) | ((~v90(constB95, bitIndex2)) <=> v90(constB94, bitIndex2)) | ((~v90(constB95, bitIndex0)) <=> v90(constB94, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB95) | (~nextState(constB94, constB95)) | (~(((~v90(constB95, bitIndex1)) <=> v90(constB94, bitIndex1)) | ((~v90(constB95, bitIndex2)) <=> v90(constB94, bitIndex2)) | ((~v90(constB95, bitIndex0)) <=> v90(constB94, bitIndex0)))))),
% 7.48/5.45 inference(rewrite,[status(thm)],[])).
% 7.48/5.45 tff(11023,plain,
% 7.48/5.45 ((v100(constB95) | (~nextState(constB94, constB95)) | (~(((~v90(constB95, bitIndex2)) <=> v90(constB94, bitIndex2)) | ((~v90(constB95, bitIndex1)) <=> v90(constB94, bitIndex1)) | ((~v90(constB95, bitIndex0)) <=> v90(constB94, bitIndex0))))) <=> (v100(constB95) | (~nextState(constB94, constB95)) | (~(((~v90(constB95, bitIndex1)) <=> v90(constB94, bitIndex1)) | ((~v90(constB95, bitIndex2)) <=> v90(constB94, bitIndex2)) | ((~v90(constB95, bitIndex0)) <=> v90(constB94, bitIndex0)))))),
% 7.48/5.45 inference(rewrite,[status(thm)],[])).
% 7.48/5.45 tff(11024,plain,
% 7.48/5.45 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB95) | (~nextState(constB94, constB95)) | (~(((~v90(constB95, bitIndex2)) <=> v90(constB94, bitIndex2)) | ((~v90(constB95, bitIndex1)) <=> v90(constB94, bitIndex1)) | ((~v90(constB95, bitIndex0)) <=> v90(constB94, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB95) | (~nextState(constB94, constB95)) | (~(((~v90(constB95, bitIndex1)) <=> v90(constB94, bitIndex1)) | ((~v90(constB95, bitIndex2)) <=> v90(constB94, bitIndex2)) | ((~v90(constB95, bitIndex0)) <=> v90(constB94, bitIndex0))))))),
% 7.48/5.45 inference(monotonicity,[status(thm)],[11023])).
% 7.48/5.45 tff(11025,plain,
% 7.48/5.45 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB95) | (~nextState(constB94, constB95)) | (~(((~v90(constB95, bitIndex2)) <=> v90(constB94, bitIndex2)) | ((~v90(constB95, bitIndex1)) <=> v90(constB94, bitIndex1)) | ((~v90(constB95, bitIndex0)) <=> v90(constB94, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB95) | (~nextState(constB94, constB95)) | (~(((~v90(constB95, bitIndex1)) <=> v90(constB94, bitIndex1)) | ((~v90(constB95, bitIndex2)) <=> v90(constB94, bitIndex2)) | ((~v90(constB95, bitIndex0)) <=> v90(constB94, bitIndex0)))))),
% 7.48/5.46 inference(transitivity,[status(thm)],[11024, 11022])).
% 7.48/5.46 tff(11026,plain,
% 7.48/5.46 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB95) | (~nextState(constB94, constB95)) | (~(((~v90(constB95, bitIndex2)) <=> v90(constB94, bitIndex2)) | ((~v90(constB95, bitIndex1)) <=> v90(constB94, bitIndex1)) | ((~v90(constB95, bitIndex0)) <=> v90(constB94, bitIndex0)))))),
% 7.48/5.46 inference(quant_inst,[status(thm)],[])).
% 7.48/5.46 tff(11027,plain,
% 7.48/5.46 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB95) | (~nextState(constB94, constB95)) | (~(((~v90(constB95, bitIndex1)) <=> v90(constB94, bitIndex1)) | ((~v90(constB95, bitIndex2)) <=> v90(constB94, bitIndex2)) | ((~v90(constB95, bitIndex0)) <=> v90(constB94, bitIndex0))))),
% 7.48/5.46 inference(modus_ponens,[status(thm)],[11026, 11025])).
% 7.48/5.46 tff(11028,plain,
% 7.48/5.46 (v100(constB95) | (~(((~v90(constB95, bitIndex1)) <=> v90(constB94, bitIndex1)) | ((~v90(constB95, bitIndex2)) <=> v90(constB94, bitIndex2)) | ((~v90(constB95, bitIndex0)) <=> v90(constB94, bitIndex0))))),
% 7.48/5.46 inference(unit_resolution,[status(thm)],[11027, 10998, 494])).
% 7.48/5.46 tff(11029,plain,
% 7.48/5.46 (~(((~v90(constB95, bitIndex1)) <=> v90(constB94, bitIndex1)) | ((~v90(constB95, bitIndex2)) <=> v90(constB94, bitIndex2)) | ((~v90(constB95, bitIndex0)) <=> v90(constB94, bitIndex0)))),
% 7.48/5.46 inference(unit_resolution,[status(thm)],[11028, 11021])).
% 7.48/5.46 tff(11030,plain,
% 7.48/5.46 ((((~v90(constB95, bitIndex1)) <=> v90(constB94, bitIndex1)) | ((~v90(constB95, bitIndex2)) <=> v90(constB94, bitIndex2)) | ((~v90(constB95, bitIndex0)) <=> v90(constB94, bitIndex0))) | (~((~v90(constB95, bitIndex0)) <=> v90(constB94, bitIndex0)))),
% 7.48/5.46 inference(tautology,[status(thm)],[])).
% 7.48/5.46 tff(11031,plain,
% 7.48/5.46 (~((~v90(constB95, bitIndex0)) <=> v90(constB94, bitIndex0))),
% 7.48/5.46 inference(unit_resolution,[status(thm)],[11030, 11029])).
% 7.48/5.46 tff(11032,plain,
% 7.48/5.46 (nextState(constB93, constB94) <=> nextState(constB93, constB94)),
% 7.48/5.46 inference(rewrite,[status(thm)],[])).
% 7.48/5.46 tff(11033,axiom,(nextState(constB93, constB94)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_93')).
% 7.48/5.46 tff(11034,plain,
% 7.48/5.46 (nextState(constB93, constB94)),
% 7.48/5.46 inference(modus_ponens,[status(thm)],[11033, 11032])).
% 7.48/5.46 tff(11035,plain,
% 7.48/5.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB93, constB94)) | (~(((~v129(constB94, bitIndex2)) <=> v127(constB93, bitIndex2)) | ((~v129(constB94, bitIndex1)) <=> v127(constB93, bitIndex1)) | ((~v129(constB94, bitIndex0)) <=> v127(constB93, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB93, constB94)) | (~(((~v129(constB94, bitIndex2)) <=> v127(constB93, bitIndex2)) | ((~v129(constB94, bitIndex1)) <=> v127(constB93, bitIndex1)) | ((~v129(constB94, bitIndex0)) <=> v127(constB93, bitIndex0)))))),
% 7.48/5.46 inference(rewrite,[status(thm)],[])).
% 7.48/5.46 tff(11036,plain,
% 7.48/5.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB93, constB94)) | (~(((~v129(constB94, bitIndex2)) <=> v127(constB93, bitIndex2)) | ((~v129(constB94, bitIndex1)) <=> v127(constB93, bitIndex1)) | ((~v129(constB94, bitIndex0)) <=> v127(constB93, bitIndex0)))))),
% 7.48/5.46 inference(quant_inst,[status(thm)],[])).
% 7.48/5.46 tff(11037,plain,
% 7.48/5.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB93, constB94)) | (~(((~v129(constB94, bitIndex2)) <=> v127(constB93, bitIndex2)) | ((~v129(constB94, bitIndex1)) <=> v127(constB93, bitIndex1)) | ((~v129(constB94, bitIndex0)) <=> v127(constB93, bitIndex0))))),
% 7.48/5.46 inference(modus_ponens,[status(thm)],[11036, 11035])).
% 7.48/5.46 tff(11038,plain,
% 7.48/5.46 (~(((~v129(constB94, bitIndex2)) <=> v127(constB93, bitIndex2)) | ((~v129(constB94, bitIndex1)) <=> v127(constB93, bitIndex1)) | ((~v129(constB94, bitIndex0)) <=> v127(constB93, bitIndex0)))),
% 7.48/5.46 inference(unit_resolution,[status(thm)],[11037, 11034, 517])).
% 7.48/5.46 tff(11039,plain,
% 7.48/5.46 ((((~v129(constB94, bitIndex2)) <=> v127(constB93, bitIndex2)) | ((~v129(constB94, bitIndex1)) <=> v127(constB93, bitIndex1)) | ((~v129(constB94, bitIndex0)) <=> v127(constB93, bitIndex0))) | (~((~v129(constB94, bitIndex0)) <=> v127(constB93, bitIndex0)))),
% 7.48/5.46 inference(tautology,[status(thm)],[])).
% 7.48/5.46 tff(11040,plain,
% 7.48/5.46 (~((~v129(constB94, bitIndex0)) <=> v127(constB93, bitIndex0))),
% 7.48/5.46 inference(unit_resolution,[status(thm)],[11039, 11038])).
% 7.48/5.46 tff(11041,plain,
% 7.48/5.46 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB93) <=> v26(constB93))),
% 7.48/5.46 inference(quant_inst,[status(thm)],[])).
% 7.48/5.46 tff(11042,plain,
% 7.48/5.46 (v111(constB93) <=> v26(constB93)),
% 7.48/5.46 inference(unit_resolution,[status(thm)],[11041, 536])).
% 7.48/5.46 tff(11043,plain,
% 7.48/5.46 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB93))),
% 7.48/5.46 inference(quant_inst,[status(thm)],[])).
% 7.48/5.46 tff(11044,plain,
% 7.48/5.46 (~v26(constB93)),
% 7.48/5.46 inference(unit_resolution,[status(thm)],[11043, 548])).
% 7.48/5.46 tff(11045,plain,
% 7.48/5.46 ((~(v111(constB93) <=> v26(constB93))) | (~v111(constB93)) | v26(constB93)),
% 7.48/5.46 inference(tautology,[status(thm)],[])).
% 7.48/5.46 tff(11046,plain,
% 7.48/5.46 ((~(v111(constB93) <=> v26(constB93))) | (~v111(constB93))),
% 7.48/5.46 inference(unit_resolution,[status(thm)],[11045, 11044])).
% 7.48/5.46 tff(11047,plain,
% 7.48/5.46 (~v111(constB93)),
% 7.48/5.46 inference(unit_resolution,[status(thm)],[11046, 11042])).
% 7.48/5.46 tff(11048,plain,
% 7.48/5.46 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB93) | (~(((~v127(constB93, bitIndex2)) <=> v130(constB93, bitIndex2)) | ((~v127(constB93, bitIndex1)) <=> v130(constB93, bitIndex1)) | ((~v127(constB93, bitIndex0)) <=> v130(constB93, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB93) | (~(((~v127(constB93, bitIndex2)) <=> v130(constB93, bitIndex2)) | ((~v127(constB93, bitIndex1)) <=> v130(constB93, bitIndex1)) | ((~v127(constB93, bitIndex0)) <=> v130(constB93, bitIndex0)))))),
% 7.48/5.46 inference(rewrite,[status(thm)],[])).
% 7.48/5.46 tff(11049,plain,
% 7.48/5.46 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB93) | (~(((~v127(constB93, bitIndex2)) <=> v130(constB93, bitIndex2)) | ((~v127(constB93, bitIndex1)) <=> v130(constB93, bitIndex1)) | ((~v127(constB93, bitIndex0)) <=> v130(constB93, bitIndex0)))))),
% 7.48/5.46 inference(quant_inst,[status(thm)],[])).
% 7.48/5.46 tff(11050,plain,
% 7.48/5.46 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB93) | (~(((~v127(constB93, bitIndex2)) <=> v130(constB93, bitIndex2)) | ((~v127(constB93, bitIndex1)) <=> v130(constB93, bitIndex1)) | ((~v127(constB93, bitIndex0)) <=> v130(constB93, bitIndex0))))),
% 7.48/5.46 inference(modus_ponens,[status(thm)],[11049, 11048])).
% 7.48/5.46 tff(11051,plain,
% 7.48/5.46 (v111(constB93) | (~(((~v127(constB93, bitIndex2)) <=> v130(constB93, bitIndex2)) | ((~v127(constB93, bitIndex1)) <=> v130(constB93, bitIndex1)) | ((~v127(constB93, bitIndex0)) <=> v130(constB93, bitIndex0))))),
% 7.48/5.46 inference(unit_resolution,[status(thm)],[11050, 566])).
% 7.48/5.46 tff(11052,plain,
% 7.48/5.46 (~(((~v127(constB93, bitIndex2)) <=> v130(constB93, bitIndex2)) | ((~v127(constB93, bitIndex1)) <=> v130(constB93, bitIndex1)) | ((~v127(constB93, bitIndex0)) <=> v130(constB93, bitIndex0)))),
% 7.48/5.46 inference(unit_resolution,[status(thm)],[11051, 11047])).
% 7.48/5.46 tff(11053,plain,
% 7.48/5.46 ((((~v127(constB93, bitIndex2)) <=> v130(constB93, bitIndex2)) | ((~v127(constB93, bitIndex1)) <=> v130(constB93, bitIndex1)) | ((~v127(constB93, bitIndex0)) <=> v130(constB93, bitIndex0))) | (~((~v127(constB93, bitIndex0)) <=> v130(constB93, bitIndex0)))),
% 7.48/5.46 inference(tautology,[status(thm)],[])).
% 7.48/5.46 tff(11054,plain,
% 7.48/5.46 (~((~v127(constB93, bitIndex0)) <=> v130(constB93, bitIndex0))),
% 7.48/5.46 inference(unit_resolution,[status(thm)],[11053, 11052])).
% 7.48/5.46 tff(11055,plain,
% 7.48/5.46 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB93) <=> (~(v90(constB93, bitIndex1) | v90(constB93, bitIndex0) | (~v90(constB93, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB93) <=> (~(v90(constB93, bitIndex1) | v90(constB93, bitIndex0) | (~v90(constB93, bitIndex2))))))),
% 7.48/5.46 inference(rewrite,[status(thm)],[])).
% 7.48/5.46 tff(11056,plain,
% 7.48/5.46 ((v123(constB93) <=> (~(v90(constB93, bitIndex0) | v90(constB93, bitIndex1) | (~v90(constB93, bitIndex2))))) <=> (v123(constB93) <=> (~(v90(constB93, bitIndex1) | v90(constB93, bitIndex0) | (~v90(constB93, bitIndex2)))))),
% 7.48/5.46 inference(rewrite,[status(thm)],[])).
% 7.48/5.46 tff(11057,plain,
% 7.48/5.46 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB93) <=> (~(v90(constB93, bitIndex0) | v90(constB93, bitIndex1) | (~v90(constB93, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB93) <=> (~(v90(constB93, bitIndex1) | v90(constB93, bitIndex0) | (~v90(constB93, bitIndex2))))))),
% 7.48/5.46 inference(monotonicity,[status(thm)],[11056])).
% 7.48/5.46 tff(11058,plain,
% 7.48/5.46 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB93) <=> (~(v90(constB93, bitIndex0) | v90(constB93, bitIndex1) | (~v90(constB93, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB93) <=> (~(v90(constB93, bitIndex1) | v90(constB93, bitIndex0) | (~v90(constB93, bitIndex2))))))),
% 7.48/5.46 inference(transitivity,[status(thm)],[11057, 11055])).
% 7.48/5.46 tff(11059,plain,
% 7.48/5.46 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB93) <=> (~(v90(constB93, bitIndex0) | v90(constB93, bitIndex1) | (~v90(constB93, bitIndex2)))))),
% 7.48/5.46 inference(quant_inst,[status(thm)],[])).
% 7.48/5.46 tff(11060,plain,
% 7.48/5.46 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB93) <=> (~(v90(constB93, bitIndex1) | v90(constB93, bitIndex0) | (~v90(constB93, bitIndex2)))))),
% 7.48/5.46 inference(modus_ponens,[status(thm)],[11059, 11058])).
% 7.48/5.46 tff(11061,plain,
% 7.48/5.46 (v123(constB93) <=> (~(v90(constB93, bitIndex1) | v90(constB93, bitIndex0) | (~v90(constB93, bitIndex2))))),
% 7.48/5.46 inference(unit_resolution,[status(thm)],[11060, 800])).
% 7.48/5.46 tff(11062,plain,
% 7.48/5.46 (nextState(constB92, constB93) <=> nextState(constB92, constB93)),
% 7.48/5.46 inference(rewrite,[status(thm)],[])).
% 7.48/5.46 tff(11063,axiom,(nextState(constB92, constB93)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_92')).
% 7.48/5.46 tff(11064,plain,
% 7.48/5.46 (nextState(constB92, constB93)),
% 7.48/5.46 inference(modus_ponens,[status(thm)],[11063, 11062])).
% 7.48/5.46 tff(11065,plain,
% 7.48/5.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB92, constB93)) | (v100(constB93) <=> (~((~v101(constB93)) | (~v110(constB93))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB92, constB93)) | (v100(constB93) <=> (~((~v101(constB93)) | (~v110(constB93))))))),
% 7.48/5.46 inference(rewrite,[status(thm)],[])).
% 7.48/5.46 tff(11066,plain,
% 7.48/5.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB92, constB93)) | (v100(constB93) <=> (~((~v101(constB93)) | (~v110(constB93))))))),
% 7.48/5.46 inference(quant_inst,[status(thm)],[])).
% 7.48/5.46 tff(11067,plain,
% 7.48/5.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB92, constB93)) | (v100(constB93) <=> (~((~v101(constB93)) | (~v110(constB93)))))),
% 7.48/5.46 inference(modus_ponens,[status(thm)],[11066, 11065])).
% 7.48/5.46 tff(11068,plain,
% 7.48/5.46 (v100(constB93) <=> (~((~v101(constB93)) | (~v110(constB93))))),
% 7.48/5.46 inference(unit_resolution,[status(thm)],[11067, 11064, 445])).
% 7.48/5.46 tff(11069,plain,
% 7.48/5.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB92, constB93)) | (v101(constB93) <=> (~((~v1(constB93)) | (~v102(constB93))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB92, constB93)) | (v101(constB93) <=> (~((~v1(constB93)) | (~v102(constB93))))))),
% 7.48/5.46 inference(rewrite,[status(thm)],[])).
% 7.48/5.46 tff(11070,plain,
% 7.48/5.46 (((~nextState(constB92, constB93)) | (v101(constB93) <=> (~((~v102(constB93)) | (~v1(constB93)))))) <=> ((~nextState(constB92, constB93)) | (v101(constB93) <=> (~((~v1(constB93)) | (~v102(constB93))))))),
% 7.48/5.46 inference(rewrite,[status(thm)],[])).
% 7.48/5.46 tff(11071,plain,
% 7.48/5.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB92, constB93)) | (v101(constB93) <=> (~((~v102(constB93)) | (~v1(constB93))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB92, constB93)) | (v101(constB93) <=> (~((~v1(constB93)) | (~v102(constB93)))))))),
% 7.48/5.46 inference(monotonicity,[status(thm)],[11070])).
% 7.48/5.46 tff(11072,plain,
% 7.48/5.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB92, constB93)) | (v101(constB93) <=> (~((~v102(constB93)) | (~v1(constB93))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB92, constB93)) | (v101(constB93) <=> (~((~v1(constB93)) | (~v102(constB93))))))),
% 7.48/5.46 inference(transitivity,[status(thm)],[11071, 11069])).
% 7.48/5.46 tff(11073,plain,
% 7.48/5.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB92, constB93)) | (v101(constB93) <=> (~((~v102(constB93)) | (~v1(constB93))))))),
% 7.48/5.46 inference(quant_inst,[status(thm)],[])).
% 7.48/5.46 tff(11074,plain,
% 7.48/5.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB92, constB93)) | (v101(constB93) <=> (~((~v1(constB93)) | (~v102(constB93)))))),
% 7.48/5.46 inference(modus_ponens,[status(thm)],[11073, 11072])).
% 7.48/5.46 tff(11075,plain,
% 7.48/5.46 (v101(constB93) <=> (~((~v1(constB93)) | (~v102(constB93))))),
% 7.48/5.46 inference(unit_resolution,[status(thm)],[11074, 11064, 465])).
% 7.48/5.46 tff(11076,plain,
% 7.48/5.46 ((~v1(constB93)) <=> (~v1(constB93))),
% 7.48/5.46 inference(rewrite,[status(thm)],[])).
% 7.48/5.46 tff(11077,axiom,(~v1(constB93)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_93')).
% 7.48/5.46 tff(11078,plain,
% 7.48/5.46 (~v1(constB93)),
% 7.48/5.46 inference(modus_ponens,[status(thm)],[11077, 11076])).
% 7.48/5.46 tff(11079,plain,
% 7.48/5.46 (((~v1(constB93)) | (~v102(constB93))) | v1(constB93)),
% 7.48/5.46 inference(tautology,[status(thm)],[])).
% 7.48/5.46 tff(11080,plain,
% 7.48/5.46 ((~v1(constB93)) | (~v102(constB93))),
% 7.48/5.46 inference(unit_resolution,[status(thm)],[11079, 11078])).
% 7.48/5.46 tff(11081,plain,
% 7.48/5.46 ((~(v101(constB93) <=> (~((~v1(constB93)) | (~v102(constB93)))))) | (~v101(constB93)) | (~((~v1(constB93)) | (~v102(constB93))))),
% 7.48/5.46 inference(tautology,[status(thm)],[])).
% 7.48/5.46 tff(11082,plain,
% 7.48/5.46 ((~(v101(constB93) <=> (~((~v1(constB93)) | (~v102(constB93)))))) | (~v101(constB93))),
% 7.48/5.46 inference(unit_resolution,[status(thm)],[11081, 11080])).
% 7.48/5.46 tff(11083,plain,
% 7.48/5.46 (~v101(constB93)),
% 7.48/5.46 inference(unit_resolution,[status(thm)],[11082, 11075])).
% 7.48/5.46 tff(11084,plain,
% 7.48/5.46 (((~v101(constB93)) | (~v110(constB93))) | v101(constB93)),
% 7.48/5.46 inference(tautology,[status(thm)],[])).
% 7.48/5.46 tff(11085,plain,
% 7.48/5.46 ((~v101(constB93)) | (~v110(constB93))),
% 7.48/5.46 inference(unit_resolution,[status(thm)],[11084, 11083])).
% 7.48/5.46 tff(11086,plain,
% 7.48/5.46 ((~(v100(constB93) <=> (~((~v101(constB93)) | (~v110(constB93)))))) | (~v100(constB93)) | (~((~v101(constB93)) | (~v110(constB93))))),
% 7.48/5.46 inference(tautology,[status(thm)],[])).
% 7.48/5.46 tff(11087,plain,
% 7.48/5.46 (~v100(constB93)),
% 7.48/5.46 inference(unit_resolution,[status(thm)],[11086, 11085, 11068])).
% 7.48/5.46 tff(11088,plain,
% 7.48/5.46 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB93) | (~nextState(constB92, constB93)) | (~(((~v90(constB93, bitIndex1)) <=> v90(constB92, bitIndex1)) | ((~v90(constB93, bitIndex2)) <=> v90(constB92, bitIndex2)) | ((~v90(constB93, bitIndex0)) <=> v90(constB92, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB93) | (~nextState(constB92, constB93)) | (~(((~v90(constB93, bitIndex1)) <=> v90(constB92, bitIndex1)) | ((~v90(constB93, bitIndex2)) <=> v90(constB92, bitIndex2)) | ((~v90(constB93, bitIndex0)) <=> v90(constB92, bitIndex0)))))),
% 7.48/5.46 inference(rewrite,[status(thm)],[])).
% 7.48/5.46 tff(11089,plain,
% 7.48/5.46 ((v100(constB93) | (~nextState(constB92, constB93)) | (~(((~v90(constB93, bitIndex2)) <=> v90(constB92, bitIndex2)) | ((~v90(constB93, bitIndex1)) <=> v90(constB92, bitIndex1)) | ((~v90(constB93, bitIndex0)) <=> v90(constB92, bitIndex0))))) <=> (v100(constB93) | (~nextState(constB92, constB93)) | (~(((~v90(constB93, bitIndex1)) <=> v90(constB92, bitIndex1)) | ((~v90(constB93, bitIndex2)) <=> v90(constB92, bitIndex2)) | ((~v90(constB93, bitIndex0)) <=> v90(constB92, bitIndex0)))))),
% 7.48/5.46 inference(rewrite,[status(thm)],[])).
% 7.48/5.46 tff(11090,plain,
% 7.48/5.46 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB93) | (~nextState(constB92, constB93)) | (~(((~v90(constB93, bitIndex2)) <=> v90(constB92, bitIndex2)) | ((~v90(constB93, bitIndex1)) <=> v90(constB92, bitIndex1)) | ((~v90(constB93, bitIndex0)) <=> v90(constB92, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB93) | (~nextState(constB92, constB93)) | (~(((~v90(constB93, bitIndex1)) <=> v90(constB92, bitIndex1)) | ((~v90(constB93, bitIndex2)) <=> v90(constB92, bitIndex2)) | ((~v90(constB93, bitIndex0)) <=> v90(constB92, bitIndex0))))))),
% 7.48/5.46 inference(monotonicity,[status(thm)],[11089])).
% 7.48/5.46 tff(11091,plain,
% 7.48/5.46 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB93) | (~nextState(constB92, constB93)) | (~(((~v90(constB93, bitIndex2)) <=> v90(constB92, bitIndex2)) | ((~v90(constB93, bitIndex1)) <=> v90(constB92, bitIndex1)) | ((~v90(constB93, bitIndex0)) <=> v90(constB92, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB93) | (~nextState(constB92, constB93)) | (~(((~v90(constB93, bitIndex1)) <=> v90(constB92, bitIndex1)) | ((~v90(constB93, bitIndex2)) <=> v90(constB92, bitIndex2)) | ((~v90(constB93, bitIndex0)) <=> v90(constB92, bitIndex0)))))),
% 7.48/5.46 inference(transitivity,[status(thm)],[11090, 11088])).
% 7.48/5.46 tff(11092,plain,
% 7.48/5.46 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB93) | (~nextState(constB92, constB93)) | (~(((~v90(constB93, bitIndex2)) <=> v90(constB92, bitIndex2)) | ((~v90(constB93, bitIndex1)) <=> v90(constB92, bitIndex1)) | ((~v90(constB93, bitIndex0)) <=> v90(constB92, bitIndex0)))))),
% 7.48/5.46 inference(quant_inst,[status(thm)],[])).
% 7.48/5.46 tff(11093,plain,
% 7.48/5.46 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB93) | (~nextState(constB92, constB93)) | (~(((~v90(constB93, bitIndex1)) <=> v90(constB92, bitIndex1)) | ((~v90(constB93, bitIndex2)) <=> v90(constB92, bitIndex2)) | ((~v90(constB93, bitIndex0)) <=> v90(constB92, bitIndex0))))),
% 7.48/5.46 inference(modus_ponens,[status(thm)],[11092, 11091])).
% 7.48/5.46 tff(11094,plain,
% 7.48/5.46 (v100(constB93) | (~(((~v90(constB93, bitIndex1)) <=> v90(constB92, bitIndex1)) | ((~v90(constB93, bitIndex2)) <=> v90(constB92, bitIndex2)) | ((~v90(constB93, bitIndex0)) <=> v90(constB92, bitIndex0))))),
% 7.48/5.46 inference(unit_resolution,[status(thm)],[11093, 11064, 494])).
% 7.48/5.46 tff(11095,plain,
% 7.48/5.46 (~(((~v90(constB93, bitIndex1)) <=> v90(constB92, bitIndex1)) | ((~v90(constB93, bitIndex2)) <=> v90(constB92, bitIndex2)) | ((~v90(constB93, bitIndex0)) <=> v90(constB92, bitIndex0)))),
% 7.48/5.46 inference(unit_resolution,[status(thm)],[11094, 11087])).
% 7.48/5.46 tff(11096,plain,
% 7.48/5.46 ((((~v90(constB93, bitIndex1)) <=> v90(constB92, bitIndex1)) | ((~v90(constB93, bitIndex2)) <=> v90(constB92, bitIndex2)) | ((~v90(constB93, bitIndex0)) <=> v90(constB92, bitIndex0))) | (~((~v90(constB93, bitIndex2)) <=> v90(constB92, bitIndex2)))),
% 7.48/5.46 inference(tautology,[status(thm)],[])).
% 7.48/5.46 tff(11097,plain,
% 7.48/5.46 (~((~v90(constB93, bitIndex2)) <=> v90(constB92, bitIndex2))),
% 7.48/5.46 inference(unit_resolution,[status(thm)],[11096, 11095])).
% 7.48/5.46 tff(11098,plain,
% 7.48/5.46 (nextState(constB91, constB92) <=> nextState(constB91, constB92)),
% 7.48/5.46 inference(rewrite,[status(thm)],[])).
% 7.48/5.46 tff(11099,axiom,(nextState(constB91, constB92)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_91')).
% 7.48/5.46 tff(11100,plain,
% 7.48/5.46 (nextState(constB91, constB92)),
% 7.48/5.46 inference(modus_ponens,[status(thm)],[11099, 11098])).
% 7.48/5.46 tff(11101,plain,
% 7.48/5.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB91, constB92)) | (~(((~v129(constB92, bitIndex2)) <=> v127(constB91, bitIndex2)) | ((~v129(constB92, bitIndex1)) <=> v127(constB91, bitIndex1)) | ((~v129(constB92, bitIndex0)) <=> v127(constB91, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB91, constB92)) | (~(((~v129(constB92, bitIndex2)) <=> v127(constB91, bitIndex2)) | ((~v129(constB92, bitIndex1)) <=> v127(constB91, bitIndex1)) | ((~v129(constB92, bitIndex0)) <=> v127(constB91, bitIndex0)))))),
% 7.48/5.46 inference(rewrite,[status(thm)],[])).
% 7.48/5.46 tff(11102,plain,
% 7.48/5.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB91, constB92)) | (~(((~v129(constB92, bitIndex2)) <=> v127(constB91, bitIndex2)) | ((~v129(constB92, bitIndex1)) <=> v127(constB91, bitIndex1)) | ((~v129(constB92, bitIndex0)) <=> v127(constB91, bitIndex0)))))),
% 7.48/5.46 inference(quant_inst,[status(thm)],[])).
% 7.48/5.46 tff(11103,plain,
% 7.48/5.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB91, constB92)) | (~(((~v129(constB92, bitIndex2)) <=> v127(constB91, bitIndex2)) | ((~v129(constB92, bitIndex1)) <=> v127(constB91, bitIndex1)) | ((~v129(constB92, bitIndex0)) <=> v127(constB91, bitIndex0))))),
% 7.48/5.46 inference(modus_ponens,[status(thm)],[11102, 11101])).
% 7.48/5.46 tff(11104,plain,
% 7.48/5.46 (~(((~v129(constB92, bitIndex2)) <=> v127(constB91, bitIndex2)) | ((~v129(constB92, bitIndex1)) <=> v127(constB91, bitIndex1)) | ((~v129(constB92, bitIndex0)) <=> v127(constB91, bitIndex0)))),
% 7.48/5.46 inference(unit_resolution,[status(thm)],[11103, 11100, 517])).
% 7.48/5.46 tff(11105,plain,
% 7.48/5.46 ((((~v129(constB92, bitIndex2)) <=> v127(constB91, bitIndex2)) | ((~v129(constB92, bitIndex1)) <=> v127(constB91, bitIndex1)) | ((~v129(constB92, bitIndex0)) <=> v127(constB91, bitIndex0))) | (~((~v129(constB92, bitIndex2)) <=> v127(constB91, bitIndex2)))),
% 7.48/5.46 inference(tautology,[status(thm)],[])).
% 7.48/5.46 tff(11106,plain,
% 7.48/5.46 (~((~v129(constB92, bitIndex2)) <=> v127(constB91, bitIndex2))),
% 7.48/5.46 inference(unit_resolution,[status(thm)],[11105, 11104])).
% 7.48/5.46 tff(11107,plain,
% 7.48/5.46 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB91) <=> v26(constB91))),
% 7.48/5.46 inference(quant_inst,[status(thm)],[])).
% 7.48/5.46 tff(11108,plain,
% 7.48/5.46 (v111(constB91) <=> v26(constB91)),
% 7.48/5.46 inference(unit_resolution,[status(thm)],[11107, 536])).
% 7.48/5.46 tff(11109,plain,
% 7.48/5.46 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB91))),
% 7.48/5.46 inference(quant_inst,[status(thm)],[])).
% 7.48/5.46 tff(11110,plain,
% 7.48/5.46 (~v26(constB91)),
% 7.48/5.46 inference(unit_resolution,[status(thm)],[11109, 548])).
% 7.48/5.46 tff(11111,plain,
% 7.48/5.46 ((~(v111(constB91) <=> v26(constB91))) | (~v111(constB91)) | v26(constB91)),
% 7.48/5.46 inference(tautology,[status(thm)],[])).
% 7.48/5.46 tff(11112,plain,
% 7.48/5.46 ((~(v111(constB91) <=> v26(constB91))) | (~v111(constB91))),
% 7.48/5.47 inference(unit_resolution,[status(thm)],[11111, 11110])).
% 7.48/5.47 tff(11113,plain,
% 7.48/5.47 (~v111(constB91)),
% 7.48/5.47 inference(unit_resolution,[status(thm)],[11112, 11108])).
% 7.48/5.47 tff(11114,plain,
% 7.48/5.47 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB91) | (~(((~v127(constB91, bitIndex2)) <=> v130(constB91, bitIndex2)) | ((~v127(constB91, bitIndex1)) <=> v130(constB91, bitIndex1)) | ((~v127(constB91, bitIndex0)) <=> v130(constB91, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB91) | (~(((~v127(constB91, bitIndex2)) <=> v130(constB91, bitIndex2)) | ((~v127(constB91, bitIndex1)) <=> v130(constB91, bitIndex1)) | ((~v127(constB91, bitIndex0)) <=> v130(constB91, bitIndex0)))))),
% 7.48/5.47 inference(rewrite,[status(thm)],[])).
% 7.48/5.47 tff(11115,plain,
% 7.48/5.47 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB91) | (~(((~v127(constB91, bitIndex2)) <=> v130(constB91, bitIndex2)) | ((~v127(constB91, bitIndex1)) <=> v130(constB91, bitIndex1)) | ((~v127(constB91, bitIndex0)) <=> v130(constB91, bitIndex0)))))),
% 7.48/5.47 inference(quant_inst,[status(thm)],[])).
% 7.48/5.47 tff(11116,plain,
% 7.48/5.47 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB91) | (~(((~v127(constB91, bitIndex2)) <=> v130(constB91, bitIndex2)) | ((~v127(constB91, bitIndex1)) <=> v130(constB91, bitIndex1)) | ((~v127(constB91, bitIndex0)) <=> v130(constB91, bitIndex0))))),
% 7.48/5.47 inference(modus_ponens,[status(thm)],[11115, 11114])).
% 7.48/5.47 tff(11117,plain,
% 7.48/5.47 (v111(constB91) | (~(((~v127(constB91, bitIndex2)) <=> v130(constB91, bitIndex2)) | ((~v127(constB91, bitIndex1)) <=> v130(constB91, bitIndex1)) | ((~v127(constB91, bitIndex0)) <=> v130(constB91, bitIndex0))))),
% 7.48/5.47 inference(unit_resolution,[status(thm)],[11116, 566])).
% 7.48/5.47 tff(11118,plain,
% 7.48/5.47 (~(((~v127(constB91, bitIndex2)) <=> v130(constB91, bitIndex2)) | ((~v127(constB91, bitIndex1)) <=> v130(constB91, bitIndex1)) | ((~v127(constB91, bitIndex0)) <=> v130(constB91, bitIndex0)))),
% 7.48/5.47 inference(unit_resolution,[status(thm)],[11117, 11113])).
% 7.48/5.47 tff(11119,plain,
% 7.48/5.47 ((((~v127(constB91, bitIndex2)) <=> v130(constB91, bitIndex2)) | ((~v127(constB91, bitIndex1)) <=> v130(constB91, bitIndex1)) | ((~v127(constB91, bitIndex0)) <=> v130(constB91, bitIndex0))) | (~((~v127(constB91, bitIndex2)) <=> v130(constB91, bitIndex2)))),
% 7.48/5.47 inference(tautology,[status(thm)],[])).
% 7.48/5.47 tff(11120,plain,
% 7.48/5.47 (~((~v127(constB91, bitIndex2)) <=> v130(constB91, bitIndex2))),
% 7.48/5.47 inference(unit_resolution,[status(thm)],[11119, 11118])).
% 7.48/5.47 tff(11121,plain,
% 7.48/5.47 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB91) <=> (~(v90(constB91, bitIndex2) | (~v90(constB91, bitIndex1)) | (~v90(constB91, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB91) <=> (~(v90(constB91, bitIndex2) | (~v90(constB91, bitIndex1)) | (~v90(constB91, bitIndex0))))))),
% 7.48/5.47 inference(rewrite,[status(thm)],[])).
% 7.48/5.47 tff(11122,plain,
% 7.48/5.47 ((v122(constB91) <=> (~(v90(constB91, bitIndex2) | (~v90(constB91, bitIndex0)) | (~v90(constB91, bitIndex1))))) <=> (v122(constB91) <=> (~(v90(constB91, bitIndex2) | (~v90(constB91, bitIndex1)) | (~v90(constB91, bitIndex0)))))),
% 7.48/5.47 inference(rewrite,[status(thm)],[])).
% 7.48/5.47 tff(11123,plain,
% 7.48/5.47 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB91) <=> (~(v90(constB91, bitIndex2) | (~v90(constB91, bitIndex0)) | (~v90(constB91, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB91) <=> (~(v90(constB91, bitIndex2) | (~v90(constB91, bitIndex1)) | (~v90(constB91, bitIndex0))))))),
% 7.48/5.47 inference(monotonicity,[status(thm)],[11122])).
% 7.48/5.47 tff(11124,plain,
% 7.48/5.47 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB91) <=> (~(v90(constB91, bitIndex2) | (~v90(constB91, bitIndex0)) | (~v90(constB91, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB91) <=> (~(v90(constB91, bitIndex2) | (~v90(constB91, bitIndex1)) | (~v90(constB91, bitIndex0))))))),
% 7.48/5.47 inference(transitivity,[status(thm)],[11123, 11121])).
% 7.48/5.47 tff(11125,plain,
% 7.48/5.47 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB91) <=> (~(v90(constB91, bitIndex2) | (~v90(constB91, bitIndex0)) | (~v90(constB91, bitIndex1)))))),
% 7.48/5.47 inference(quant_inst,[status(thm)],[])).
% 7.48/5.47 tff(11126,plain,
% 7.48/5.47 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB91) <=> (~(v90(constB91, bitIndex2) | (~v90(constB91, bitIndex1)) | (~v90(constB91, bitIndex0)))))),
% 7.48/5.47 inference(modus_ponens,[status(thm)],[11125, 11124])).
% 7.48/5.47 tff(11127,plain,
% 7.48/5.47 (v122(constB91) <=> (~(v90(constB91, bitIndex2) | (~v90(constB91, bitIndex1)) | (~v90(constB91, bitIndex0))))),
% 7.48/5.47 inference(unit_resolution,[status(thm)],[11126, 879])).
% 7.48/5.47 tff(11128,plain,
% 7.48/5.47 (nextState(constB90, constB91) <=> nextState(constB90, constB91)),
% 7.48/5.47 inference(rewrite,[status(thm)],[])).
% 7.48/5.47 tff(11129,axiom,(nextState(constB90, constB91)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_90')).
% 7.48/5.47 tff(11130,plain,
% 7.48/5.47 (nextState(constB90, constB91)),
% 7.48/5.47 inference(modus_ponens,[status(thm)],[11129, 11128])).
% 7.48/5.47 tff(11131,plain,
% 7.48/5.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB90, constB91)) | (v100(constB91) <=> (~((~v101(constB91)) | (~v110(constB91))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB90, constB91)) | (v100(constB91) <=> (~((~v101(constB91)) | (~v110(constB91))))))),
% 7.48/5.47 inference(rewrite,[status(thm)],[])).
% 7.48/5.47 tff(11132,plain,
% 7.48/5.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB90, constB91)) | (v100(constB91) <=> (~((~v101(constB91)) | (~v110(constB91))))))),
% 7.48/5.47 inference(quant_inst,[status(thm)],[])).
% 7.48/5.47 tff(11133,plain,
% 7.48/5.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB90, constB91)) | (v100(constB91) <=> (~((~v101(constB91)) | (~v110(constB91)))))),
% 7.48/5.47 inference(modus_ponens,[status(thm)],[11132, 11131])).
% 7.48/5.47 tff(11134,plain,
% 7.48/5.47 (v100(constB91) <=> (~((~v101(constB91)) | (~v110(constB91))))),
% 7.48/5.47 inference(unit_resolution,[status(thm)],[11133, 11130, 445])).
% 7.48/5.47 tff(11135,plain,
% 7.48/5.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB90, constB91)) | (v101(constB91) <=> (~((~v1(constB91)) | (~v102(constB91))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB90, constB91)) | (v101(constB91) <=> (~((~v1(constB91)) | (~v102(constB91))))))),
% 7.48/5.47 inference(rewrite,[status(thm)],[])).
% 7.48/5.47 tff(11136,plain,
% 7.48/5.47 (((~nextState(constB90, constB91)) | (v101(constB91) <=> (~((~v102(constB91)) | (~v1(constB91)))))) <=> ((~nextState(constB90, constB91)) | (v101(constB91) <=> (~((~v1(constB91)) | (~v102(constB91))))))),
% 7.48/5.47 inference(rewrite,[status(thm)],[])).
% 7.48/5.47 tff(11137,plain,
% 7.48/5.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB90, constB91)) | (v101(constB91) <=> (~((~v102(constB91)) | (~v1(constB91))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB90, constB91)) | (v101(constB91) <=> (~((~v1(constB91)) | (~v102(constB91)))))))),
% 7.48/5.47 inference(monotonicity,[status(thm)],[11136])).
% 7.48/5.47 tff(11138,plain,
% 7.48/5.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB90, constB91)) | (v101(constB91) <=> (~((~v102(constB91)) | (~v1(constB91))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB90, constB91)) | (v101(constB91) <=> (~((~v1(constB91)) | (~v102(constB91))))))),
% 7.48/5.47 inference(transitivity,[status(thm)],[11137, 11135])).
% 7.48/5.47 tff(11139,plain,
% 7.48/5.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB90, constB91)) | (v101(constB91) <=> (~((~v102(constB91)) | (~v1(constB91))))))),
% 7.48/5.47 inference(quant_inst,[status(thm)],[])).
% 7.48/5.47 tff(11140,plain,
% 7.48/5.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB90, constB91)) | (v101(constB91) <=> (~((~v1(constB91)) | (~v102(constB91)))))),
% 7.48/5.47 inference(modus_ponens,[status(thm)],[11139, 11138])).
% 7.48/5.47 tff(11141,plain,
% 7.48/5.47 (v101(constB91) <=> (~((~v1(constB91)) | (~v102(constB91))))),
% 7.48/5.47 inference(unit_resolution,[status(thm)],[11140, 11130, 465])).
% 7.48/5.47 tff(11142,plain,
% 7.48/5.47 ((~v1(constB91)) <=> (~v1(constB91))),
% 7.48/5.47 inference(rewrite,[status(thm)],[])).
% 7.48/5.47 tff(11143,axiom,(~v1(constB91)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_91')).
% 7.48/5.47 tff(11144,plain,
% 7.48/5.47 (~v1(constB91)),
% 7.48/5.47 inference(modus_ponens,[status(thm)],[11143, 11142])).
% 7.48/5.47 tff(11145,plain,
% 7.48/5.47 (((~v1(constB91)) | (~v102(constB91))) | v1(constB91)),
% 7.48/5.47 inference(tautology,[status(thm)],[])).
% 7.48/5.47 tff(11146,plain,
% 7.48/5.47 ((~v1(constB91)) | (~v102(constB91))),
% 7.48/5.47 inference(unit_resolution,[status(thm)],[11145, 11144])).
% 7.48/5.47 tff(11147,plain,
% 7.48/5.47 ((~(v101(constB91) <=> (~((~v1(constB91)) | (~v102(constB91)))))) | (~v101(constB91)) | (~((~v1(constB91)) | (~v102(constB91))))),
% 7.48/5.47 inference(tautology,[status(thm)],[])).
% 7.48/5.47 tff(11148,plain,
% 7.48/5.47 ((~(v101(constB91) <=> (~((~v1(constB91)) | (~v102(constB91)))))) | (~v101(constB91))),
% 7.48/5.47 inference(unit_resolution,[status(thm)],[11147, 11146])).
% 7.48/5.47 tff(11149,plain,
% 7.48/5.47 (~v101(constB91)),
% 7.48/5.47 inference(unit_resolution,[status(thm)],[11148, 11141])).
% 7.48/5.47 tff(11150,plain,
% 7.48/5.47 (((~v101(constB91)) | (~v110(constB91))) | v101(constB91)),
% 7.48/5.47 inference(tautology,[status(thm)],[])).
% 7.48/5.47 tff(11151,plain,
% 7.48/5.47 ((~v101(constB91)) | (~v110(constB91))),
% 7.48/5.47 inference(unit_resolution,[status(thm)],[11150, 11149])).
% 7.48/5.47 tff(11152,plain,
% 7.48/5.47 ((~(v100(constB91) <=> (~((~v101(constB91)) | (~v110(constB91)))))) | (~v100(constB91)) | (~((~v101(constB91)) | (~v110(constB91))))),
% 7.48/5.47 inference(tautology,[status(thm)],[])).
% 7.48/5.47 tff(11153,plain,
% 7.48/5.47 (~v100(constB91)),
% 7.48/5.47 inference(unit_resolution,[status(thm)],[11152, 11151, 11134])).
% 7.48/5.47 tff(11154,plain,
% 7.48/5.47 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB91) | (~nextState(constB90, constB91)) | (~(((~v90(constB91, bitIndex1)) <=> v90(constB90, bitIndex1)) | ((~v90(constB91, bitIndex2)) <=> v90(constB90, bitIndex2)) | ((~v90(constB91, bitIndex0)) <=> v90(constB90, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB91) | (~nextState(constB90, constB91)) | (~(((~v90(constB91, bitIndex1)) <=> v90(constB90, bitIndex1)) | ((~v90(constB91, bitIndex2)) <=> v90(constB90, bitIndex2)) | ((~v90(constB91, bitIndex0)) <=> v90(constB90, bitIndex0)))))),
% 7.48/5.47 inference(rewrite,[status(thm)],[])).
% 7.48/5.47 tff(11155,plain,
% 7.48/5.47 ((v100(constB91) | (~nextState(constB90, constB91)) | (~(((~v90(constB91, bitIndex2)) <=> v90(constB90, bitIndex2)) | ((~v90(constB91, bitIndex1)) <=> v90(constB90, bitIndex1)) | ((~v90(constB91, bitIndex0)) <=> v90(constB90, bitIndex0))))) <=> (v100(constB91) | (~nextState(constB90, constB91)) | (~(((~v90(constB91, bitIndex1)) <=> v90(constB90, bitIndex1)) | ((~v90(constB91, bitIndex2)) <=> v90(constB90, bitIndex2)) | ((~v90(constB91, bitIndex0)) <=> v90(constB90, bitIndex0)))))),
% 7.48/5.47 inference(rewrite,[status(thm)],[])).
% 7.48/5.47 tff(11156,plain,
% 7.48/5.47 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB91) | (~nextState(constB90, constB91)) | (~(((~v90(constB91, bitIndex2)) <=> v90(constB90, bitIndex2)) | ((~v90(constB91, bitIndex1)) <=> v90(constB90, bitIndex1)) | ((~v90(constB91, bitIndex0)) <=> v90(constB90, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB91) | (~nextState(constB90, constB91)) | (~(((~v90(constB91, bitIndex1)) <=> v90(constB90, bitIndex1)) | ((~v90(constB91, bitIndex2)) <=> v90(constB90, bitIndex2)) | ((~v90(constB91, bitIndex0)) <=> v90(constB90, bitIndex0))))))),
% 7.48/5.47 inference(monotonicity,[status(thm)],[11155])).
% 7.48/5.47 tff(11157,plain,
% 7.48/5.47 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB91) | (~nextState(constB90, constB91)) | (~(((~v90(constB91, bitIndex2)) <=> v90(constB90, bitIndex2)) | ((~v90(constB91, bitIndex1)) <=> v90(constB90, bitIndex1)) | ((~v90(constB91, bitIndex0)) <=> v90(constB90, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB91) | (~nextState(constB90, constB91)) | (~(((~v90(constB91, bitIndex1)) <=> v90(constB90, bitIndex1)) | ((~v90(constB91, bitIndex2)) <=> v90(constB90, bitIndex2)) | ((~v90(constB91, bitIndex0)) <=> v90(constB90, bitIndex0)))))),
% 7.48/5.47 inference(transitivity,[status(thm)],[11156, 11154])).
% 7.48/5.47 tff(11158,plain,
% 7.48/5.47 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB91) | (~nextState(constB90, constB91)) | (~(((~v90(constB91, bitIndex2)) <=> v90(constB90, bitIndex2)) | ((~v90(constB91, bitIndex1)) <=> v90(constB90, bitIndex1)) | ((~v90(constB91, bitIndex0)) <=> v90(constB90, bitIndex0)))))),
% 7.48/5.47 inference(quant_inst,[status(thm)],[])).
% 7.48/5.47 tff(11159,plain,
% 7.48/5.47 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB91) | (~nextState(constB90, constB91)) | (~(((~v90(constB91, bitIndex1)) <=> v90(constB90, bitIndex1)) | ((~v90(constB91, bitIndex2)) <=> v90(constB90, bitIndex2)) | ((~v90(constB91, bitIndex0)) <=> v90(constB90, bitIndex0))))),
% 7.48/5.47 inference(modus_ponens,[status(thm)],[11158, 11157])).
% 7.48/5.47 tff(11160,plain,
% 7.48/5.47 (v100(constB91) | (~(((~v90(constB91, bitIndex1)) <=> v90(constB90, bitIndex1)) | ((~v90(constB91, bitIndex2)) <=> v90(constB90, bitIndex2)) | ((~v90(constB91, bitIndex0)) <=> v90(constB90, bitIndex0))))),
% 7.48/5.47 inference(unit_resolution,[status(thm)],[11159, 11130, 494])).
% 7.48/5.47 tff(11161,plain,
% 7.48/5.47 (~(((~v90(constB91, bitIndex1)) <=> v90(constB90, bitIndex1)) | ((~v90(constB91, bitIndex2)) <=> v90(constB90, bitIndex2)) | ((~v90(constB91, bitIndex0)) <=> v90(constB90, bitIndex0)))),
% 7.48/5.47 inference(unit_resolution,[status(thm)],[11160, 11153])).
% 7.48/5.47 tff(11162,plain,
% 7.48/5.47 ((((~v90(constB91, bitIndex1)) <=> v90(constB90, bitIndex1)) | ((~v90(constB91, bitIndex2)) <=> v90(constB90, bitIndex2)) | ((~v90(constB91, bitIndex0)) <=> v90(constB90, bitIndex0))) | (~((~v90(constB91, bitIndex2)) <=> v90(constB90, bitIndex2)))),
% 7.48/5.47 inference(tautology,[status(thm)],[])).
% 7.48/5.47 tff(11163,plain,
% 7.48/5.47 (~((~v90(constB91, bitIndex2)) <=> v90(constB90, bitIndex2))),
% 7.48/5.47 inference(unit_resolution,[status(thm)],[11162, 11161])).
% 7.48/5.47 tff(11164,plain,
% 7.48/5.47 (nextState(constB89, constB90) <=> nextState(constB89, constB90)),
% 7.48/5.47 inference(rewrite,[status(thm)],[])).
% 7.48/5.47 tff(11165,axiom,(nextState(constB89, constB90)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_89')).
% 7.48/5.47 tff(11166,plain,
% 7.48/5.47 (nextState(constB89, constB90)),
% 7.48/5.47 inference(modus_ponens,[status(thm)],[11165, 11164])).
% 7.48/5.47 tff(11167,plain,
% 7.48/5.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB89, constB90)) | (~(((~v129(constB90, bitIndex2)) <=> v127(constB89, bitIndex2)) | ((~v129(constB90, bitIndex1)) <=> v127(constB89, bitIndex1)) | ((~v129(constB90, bitIndex0)) <=> v127(constB89, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB89, constB90)) | (~(((~v129(constB90, bitIndex2)) <=> v127(constB89, bitIndex2)) | ((~v129(constB90, bitIndex1)) <=> v127(constB89, bitIndex1)) | ((~v129(constB90, bitIndex0)) <=> v127(constB89, bitIndex0)))))),
% 7.48/5.47 inference(rewrite,[status(thm)],[])).
% 7.48/5.47 tff(11168,plain,
% 7.48/5.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB89, constB90)) | (~(((~v129(constB90, bitIndex2)) <=> v127(constB89, bitIndex2)) | ((~v129(constB90, bitIndex1)) <=> v127(constB89, bitIndex1)) | ((~v129(constB90, bitIndex0)) <=> v127(constB89, bitIndex0)))))),
% 7.48/5.47 inference(quant_inst,[status(thm)],[])).
% 7.48/5.47 tff(11169,plain,
% 7.48/5.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB89, constB90)) | (~(((~v129(constB90, bitIndex2)) <=> v127(constB89, bitIndex2)) | ((~v129(constB90, bitIndex1)) <=> v127(constB89, bitIndex1)) | ((~v129(constB90, bitIndex0)) <=> v127(constB89, bitIndex0))))),
% 7.48/5.47 inference(modus_ponens,[status(thm)],[11168, 11167])).
% 7.48/5.47 tff(11170,plain,
% 7.48/5.47 (~(((~v129(constB90, bitIndex2)) <=> v127(constB89, bitIndex2)) | ((~v129(constB90, bitIndex1)) <=> v127(constB89, bitIndex1)) | ((~v129(constB90, bitIndex0)) <=> v127(constB89, bitIndex0)))),
% 7.48/5.47 inference(unit_resolution,[status(thm)],[11169, 11166, 517])).
% 7.48/5.47 tff(11171,plain,
% 7.48/5.47 ((((~v129(constB90, bitIndex2)) <=> v127(constB89, bitIndex2)) | ((~v129(constB90, bitIndex1)) <=> v127(constB89, bitIndex1)) | ((~v129(constB90, bitIndex0)) <=> v127(constB89, bitIndex0))) | (~((~v129(constB90, bitIndex2)) <=> v127(constB89, bitIndex2)))),
% 7.48/5.47 inference(tautology,[status(thm)],[])).
% 7.48/5.47 tff(11172,plain,
% 7.48/5.47 (~((~v129(constB90, bitIndex2)) <=> v127(constB89, bitIndex2))),
% 7.48/5.47 inference(unit_resolution,[status(thm)],[11171, 11170])).
% 7.48/5.47 tff(11173,plain,
% 7.48/5.47 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB89) <=> v26(constB89))),
% 7.48/5.47 inference(quant_inst,[status(thm)],[])).
% 7.48/5.47 tff(11174,plain,
% 7.48/5.47 (v111(constB89) <=> v26(constB89)),
% 7.48/5.47 inference(unit_resolution,[status(thm)],[11173, 536])).
% 7.48/5.47 tff(11175,plain,
% 7.48/5.47 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB89))),
% 7.48/5.47 inference(quant_inst,[status(thm)],[])).
% 7.48/5.47 tff(11176,plain,
% 7.48/5.47 (~v26(constB89)),
% 7.48/5.47 inference(unit_resolution,[status(thm)],[11175, 548])).
% 7.48/5.47 tff(11177,plain,
% 7.48/5.47 ((~(v111(constB89) <=> v26(constB89))) | (~v111(constB89)) | v26(constB89)),
% 7.48/5.47 inference(tautology,[status(thm)],[])).
% 7.48/5.47 tff(11178,plain,
% 7.48/5.47 ((~(v111(constB89) <=> v26(constB89))) | (~v111(constB89))),
% 7.48/5.47 inference(unit_resolution,[status(thm)],[11177, 11176])).
% 7.48/5.47 tff(11179,plain,
% 7.48/5.47 (~v111(constB89)),
% 7.48/5.47 inference(unit_resolution,[status(thm)],[11178, 11174])).
% 7.48/5.47 tff(11180,plain,
% 7.48/5.47 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB89) | (~(((~v127(constB89, bitIndex2)) <=> v130(constB89, bitIndex2)) | ((~v127(constB89, bitIndex1)) <=> v130(constB89, bitIndex1)) | ((~v127(constB89, bitIndex0)) <=> v130(constB89, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB89) | (~(((~v127(constB89, bitIndex2)) <=> v130(constB89, bitIndex2)) | ((~v127(constB89, bitIndex1)) <=> v130(constB89, bitIndex1)) | ((~v127(constB89, bitIndex0)) <=> v130(constB89, bitIndex0)))))),
% 7.48/5.47 inference(rewrite,[status(thm)],[])).
% 7.48/5.47 tff(11181,plain,
% 7.48/5.47 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB89) | (~(((~v127(constB89, bitIndex2)) <=> v130(constB89, bitIndex2)) | ((~v127(constB89, bitIndex1)) <=> v130(constB89, bitIndex1)) | ((~v127(constB89, bitIndex0)) <=> v130(constB89, bitIndex0)))))),
% 7.48/5.47 inference(quant_inst,[status(thm)],[])).
% 7.48/5.47 tff(11182,plain,
% 7.48/5.47 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB89) | (~(((~v127(constB89, bitIndex2)) <=> v130(constB89, bitIndex2)) | ((~v127(constB89, bitIndex1)) <=> v130(constB89, bitIndex1)) | ((~v127(constB89, bitIndex0)) <=> v130(constB89, bitIndex0))))),
% 7.48/5.47 inference(modus_ponens,[status(thm)],[11181, 11180])).
% 7.48/5.47 tff(11183,plain,
% 7.48/5.47 (v111(constB89) | (~(((~v127(constB89, bitIndex2)) <=> v130(constB89, bitIndex2)) | ((~v127(constB89, bitIndex1)) <=> v130(constB89, bitIndex1)) | ((~v127(constB89, bitIndex0)) <=> v130(constB89, bitIndex0))))),
% 7.48/5.47 inference(unit_resolution,[status(thm)],[11182, 566])).
% 7.48/5.47 tff(11184,plain,
% 7.48/5.47 (~(((~v127(constB89, bitIndex2)) <=> v130(constB89, bitIndex2)) | ((~v127(constB89, bitIndex1)) <=> v130(constB89, bitIndex1)) | ((~v127(constB89, bitIndex0)) <=> v130(constB89, bitIndex0)))),
% 7.48/5.47 inference(unit_resolution,[status(thm)],[11183, 11179])).
% 7.48/5.47 tff(11185,plain,
% 7.48/5.47 ((((~v127(constB89, bitIndex2)) <=> v130(constB89, bitIndex2)) | ((~v127(constB89, bitIndex1)) <=> v130(constB89, bitIndex1)) | ((~v127(constB89, bitIndex0)) <=> v130(constB89, bitIndex0))) | (~((~v127(constB89, bitIndex2)) <=> v130(constB89, bitIndex2)))),
% 7.48/5.47 inference(tautology,[status(thm)],[])).
% 7.48/5.47 tff(11186,plain,
% 7.48/5.47 (~((~v127(constB89, bitIndex2)) <=> v130(constB89, bitIndex2))),
% 7.48/5.47 inference(unit_resolution,[status(thm)],[11185, 11184])).
% 7.48/5.47 tff(11187,plain,
% 7.48/5.47 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB89) <=> (~(v90(constB89, bitIndex2) | v90(constB89, bitIndex0) | (~v90(constB89, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB89) <=> (~(v90(constB89, bitIndex2) | v90(constB89, bitIndex0) | (~v90(constB89, bitIndex1))))))),
% 7.48/5.47 inference(rewrite,[status(thm)],[])).
% 7.48/5.47 tff(11188,plain,
% 7.48/5.47 ((v121(constB89) <=> (~(v90(constB89, bitIndex0) | v90(constB89, bitIndex2) | (~v90(constB89, bitIndex1))))) <=> (v121(constB89) <=> (~(v90(constB89, bitIndex2) | v90(constB89, bitIndex0) | (~v90(constB89, bitIndex1)))))),
% 7.48/5.47 inference(rewrite,[status(thm)],[])).
% 7.48/5.47 tff(11189,plain,
% 7.48/5.47 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB89) <=> (~(v90(constB89, bitIndex0) | v90(constB89, bitIndex2) | (~v90(constB89, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB89) <=> (~(v90(constB89, bitIndex2) | v90(constB89, bitIndex0) | (~v90(constB89, bitIndex1))))))),
% 7.48/5.47 inference(monotonicity,[status(thm)],[11188])).
% 7.48/5.47 tff(11190,plain,
% 7.48/5.47 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB89) <=> (~(v90(constB89, bitIndex0) | v90(constB89, bitIndex2) | (~v90(constB89, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB89) <=> (~(v90(constB89, bitIndex2) | v90(constB89, bitIndex0) | (~v90(constB89, bitIndex1))))))),
% 7.48/5.47 inference(transitivity,[status(thm)],[11189, 11187])).
% 7.48/5.47 tff(11191,plain,
% 7.48/5.47 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB89) <=> (~(v90(constB89, bitIndex0) | v90(constB89, bitIndex2) | (~v90(constB89, bitIndex1)))))),
% 7.48/5.47 inference(quant_inst,[status(thm)],[])).
% 7.48/5.47 tff(11192,plain,
% 7.48/5.47 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB89) <=> (~(v90(constB89, bitIndex2) | v90(constB89, bitIndex0) | (~v90(constB89, bitIndex1)))))),
% 7.48/5.47 inference(modus_ponens,[status(thm)],[11191, 11190])).
% 7.48/5.47 tff(11193,plain,
% 7.48/5.47 (v121(constB89) <=> (~(v90(constB89, bitIndex2) | v90(constB89, bitIndex0) | (~v90(constB89, bitIndex1))))),
% 7.48/5.47 inference(unit_resolution,[status(thm)],[11192, 586])).
% 7.48/5.47 tff(11194,plain,
% 7.48/5.47 (nextState(constB88, constB89) <=> nextState(constB88, constB89)),
% 7.48/5.47 inference(rewrite,[status(thm)],[])).
% 7.48/5.47 tff(11195,axiom,(nextState(constB88, constB89)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_88')).
% 7.48/5.47 tff(11196,plain,
% 7.48/5.47 (nextState(constB88, constB89)),
% 7.48/5.47 inference(modus_ponens,[status(thm)],[11195, 11194])).
% 7.48/5.47 tff(11197,plain,
% 7.48/5.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB88, constB89)) | (v100(constB89) <=> (~((~v101(constB89)) | (~v110(constB89))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB88, constB89)) | (v100(constB89) <=> (~((~v101(constB89)) | (~v110(constB89))))))),
% 7.48/5.47 inference(rewrite,[status(thm)],[])).
% 7.48/5.47 tff(11198,plain,
% 7.48/5.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB88, constB89)) | (v100(constB89) <=> (~((~v101(constB89)) | (~v110(constB89))))))),
% 7.48/5.47 inference(quant_inst,[status(thm)],[])).
% 7.48/5.47 tff(11199,plain,
% 7.48/5.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB88, constB89)) | (v100(constB89) <=> (~((~v101(constB89)) | (~v110(constB89)))))),
% 7.48/5.47 inference(modus_ponens,[status(thm)],[11198, 11197])).
% 7.48/5.47 tff(11200,plain,
% 7.48/5.47 (v100(constB89) <=> (~((~v101(constB89)) | (~v110(constB89))))),
% 7.48/5.47 inference(unit_resolution,[status(thm)],[11199, 11196, 445])).
% 7.48/5.47 tff(11201,plain,
% 7.48/5.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB88, constB89)) | (v101(constB89) <=> (~((~v1(constB89)) | (~v102(constB89))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB88, constB89)) | (v101(constB89) <=> (~((~v1(constB89)) | (~v102(constB89))))))),
% 7.48/5.47 inference(rewrite,[status(thm)],[])).
% 7.48/5.47 tff(11202,plain,
% 7.48/5.47 (((~nextState(constB88, constB89)) | (v101(constB89) <=> (~((~v102(constB89)) | (~v1(constB89)))))) <=> ((~nextState(constB88, constB89)) | (v101(constB89) <=> (~((~v1(constB89)) | (~v102(constB89))))))),
% 7.48/5.47 inference(rewrite,[status(thm)],[])).
% 7.48/5.47 tff(11203,plain,
% 7.48/5.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB88, constB89)) | (v101(constB89) <=> (~((~v102(constB89)) | (~v1(constB89))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB88, constB89)) | (v101(constB89) <=> (~((~v1(constB89)) | (~v102(constB89)))))))),
% 7.48/5.47 inference(monotonicity,[status(thm)],[11202])).
% 7.48/5.47 tff(11204,plain,
% 7.48/5.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB88, constB89)) | (v101(constB89) <=> (~((~v102(constB89)) | (~v1(constB89))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB88, constB89)) | (v101(constB89) <=> (~((~v1(constB89)) | (~v102(constB89))))))),
% 7.48/5.47 inference(transitivity,[status(thm)],[11203, 11201])).
% 7.48/5.47 tff(11205,plain,
% 7.48/5.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB88, constB89)) | (v101(constB89) <=> (~((~v102(constB89)) | (~v1(constB89))))))),
% 7.48/5.47 inference(quant_inst,[status(thm)],[])).
% 7.48/5.47 tff(11206,plain,
% 7.48/5.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB88, constB89)) | (v101(constB89) <=> (~((~v1(constB89)) | (~v102(constB89)))))),
% 7.48/5.47 inference(modus_ponens,[status(thm)],[11205, 11204])).
% 7.48/5.47 tff(11207,plain,
% 7.48/5.47 (v101(constB89) <=> (~((~v1(constB89)) | (~v102(constB89))))),
% 7.48/5.47 inference(unit_resolution,[status(thm)],[11206, 11196, 465])).
% 7.48/5.47 tff(11208,plain,
% 7.48/5.47 ((~v1(constB89)) <=> (~v1(constB89))),
% 7.48/5.47 inference(rewrite,[status(thm)],[])).
% 7.48/5.47 tff(11209,axiom,(~v1(constB89)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_89')).
% 7.48/5.47 tff(11210,plain,
% 7.48/5.47 (~v1(constB89)),
% 7.48/5.47 inference(modus_ponens,[status(thm)],[11209, 11208])).
% 7.48/5.47 tff(11211,plain,
% 7.48/5.47 (((~v1(constB89)) | (~v102(constB89))) | v1(constB89)),
% 7.48/5.47 inference(tautology,[status(thm)],[])).
% 7.48/5.47 tff(11212,plain,
% 7.48/5.47 ((~v1(constB89)) | (~v102(constB89))),
% 7.48/5.47 inference(unit_resolution,[status(thm)],[11211, 11210])).
% 7.48/5.47 tff(11213,plain,
% 7.48/5.47 ((~(v101(constB89) <=> (~((~v1(constB89)) | (~v102(constB89)))))) | (~v101(constB89)) | (~((~v1(constB89)) | (~v102(constB89))))),
% 7.48/5.48 inference(tautology,[status(thm)],[])).
% 7.48/5.48 tff(11214,plain,
% 7.48/5.48 ((~(v101(constB89) <=> (~((~v1(constB89)) | (~v102(constB89)))))) | (~v101(constB89))),
% 7.48/5.48 inference(unit_resolution,[status(thm)],[11213, 11212])).
% 7.48/5.48 tff(11215,plain,
% 7.48/5.48 (~v101(constB89)),
% 7.48/5.48 inference(unit_resolution,[status(thm)],[11214, 11207])).
% 7.48/5.48 tff(11216,plain,
% 7.48/5.48 (((~v101(constB89)) | (~v110(constB89))) | v101(constB89)),
% 7.48/5.48 inference(tautology,[status(thm)],[])).
% 7.48/5.48 tff(11217,plain,
% 7.48/5.48 ((~v101(constB89)) | (~v110(constB89))),
% 7.48/5.48 inference(unit_resolution,[status(thm)],[11216, 11215])).
% 7.48/5.48 tff(11218,plain,
% 7.48/5.48 ((~(v100(constB89) <=> (~((~v101(constB89)) | (~v110(constB89)))))) | (~v100(constB89)) | (~((~v101(constB89)) | (~v110(constB89))))),
% 7.48/5.48 inference(tautology,[status(thm)],[])).
% 7.48/5.48 tff(11219,plain,
% 7.48/5.48 (~v100(constB89)),
% 7.48/5.48 inference(unit_resolution,[status(thm)],[11218, 11217, 11200])).
% 7.48/5.48 tff(11220,plain,
% 7.48/5.48 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB89) | (~nextState(constB88, constB89)) | (~(((~v90(constB89, bitIndex1)) <=> v90(constB88, bitIndex1)) | ((~v90(constB89, bitIndex2)) <=> v90(constB88, bitIndex2)) | ((~v90(constB89, bitIndex0)) <=> v90(constB88, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB89) | (~nextState(constB88, constB89)) | (~(((~v90(constB89, bitIndex1)) <=> v90(constB88, bitIndex1)) | ((~v90(constB89, bitIndex2)) <=> v90(constB88, bitIndex2)) | ((~v90(constB89, bitIndex0)) <=> v90(constB88, bitIndex0)))))),
% 7.48/5.48 inference(rewrite,[status(thm)],[])).
% 7.48/5.48 tff(11221,plain,
% 7.48/5.48 ((v100(constB89) | (~nextState(constB88, constB89)) | (~(((~v90(constB89, bitIndex2)) <=> v90(constB88, bitIndex2)) | ((~v90(constB89, bitIndex1)) <=> v90(constB88, bitIndex1)) | ((~v90(constB89, bitIndex0)) <=> v90(constB88, bitIndex0))))) <=> (v100(constB89) | (~nextState(constB88, constB89)) | (~(((~v90(constB89, bitIndex1)) <=> v90(constB88, bitIndex1)) | ((~v90(constB89, bitIndex2)) <=> v90(constB88, bitIndex2)) | ((~v90(constB89, bitIndex0)) <=> v90(constB88, bitIndex0)))))),
% 7.48/5.48 inference(rewrite,[status(thm)],[])).
% 7.48/5.48 tff(11222,plain,
% 7.48/5.48 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB89) | (~nextState(constB88, constB89)) | (~(((~v90(constB89, bitIndex2)) <=> v90(constB88, bitIndex2)) | ((~v90(constB89, bitIndex1)) <=> v90(constB88, bitIndex1)) | ((~v90(constB89, bitIndex0)) <=> v90(constB88, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB89) | (~nextState(constB88, constB89)) | (~(((~v90(constB89, bitIndex1)) <=> v90(constB88, bitIndex1)) | ((~v90(constB89, bitIndex2)) <=> v90(constB88, bitIndex2)) | ((~v90(constB89, bitIndex0)) <=> v90(constB88, bitIndex0))))))),
% 7.48/5.48 inference(monotonicity,[status(thm)],[11221])).
% 7.48/5.48 tff(11223,plain,
% 7.48/5.48 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB89) | (~nextState(constB88, constB89)) | (~(((~v90(constB89, bitIndex2)) <=> v90(constB88, bitIndex2)) | ((~v90(constB89, bitIndex1)) <=> v90(constB88, bitIndex1)) | ((~v90(constB89, bitIndex0)) <=> v90(constB88, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB89) | (~nextState(constB88, constB89)) | (~(((~v90(constB89, bitIndex1)) <=> v90(constB88, bitIndex1)) | ((~v90(constB89, bitIndex2)) <=> v90(constB88, bitIndex2)) | ((~v90(constB89, bitIndex0)) <=> v90(constB88, bitIndex0)))))),
% 7.56/5.48 inference(transitivity,[status(thm)],[11222, 11220])).
% 7.56/5.48 tff(11224,plain,
% 7.56/5.48 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB89) | (~nextState(constB88, constB89)) | (~(((~v90(constB89, bitIndex2)) <=> v90(constB88, bitIndex2)) | ((~v90(constB89, bitIndex1)) <=> v90(constB88, bitIndex1)) | ((~v90(constB89, bitIndex0)) <=> v90(constB88, bitIndex0)))))),
% 7.56/5.48 inference(quant_inst,[status(thm)],[])).
% 7.56/5.48 tff(11225,plain,
% 7.56/5.48 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB89) | (~nextState(constB88, constB89)) | (~(((~v90(constB89, bitIndex1)) <=> v90(constB88, bitIndex1)) | ((~v90(constB89, bitIndex2)) <=> v90(constB88, bitIndex2)) | ((~v90(constB89, bitIndex0)) <=> v90(constB88, bitIndex0))))),
% 7.56/5.48 inference(modus_ponens,[status(thm)],[11224, 11223])).
% 7.56/5.48 tff(11226,plain,
% 7.56/5.48 (v100(constB89) | (~(((~v90(constB89, bitIndex1)) <=> v90(constB88, bitIndex1)) | ((~v90(constB89, bitIndex2)) <=> v90(constB88, bitIndex2)) | ((~v90(constB89, bitIndex0)) <=> v90(constB88, bitIndex0))))),
% 7.56/5.48 inference(unit_resolution,[status(thm)],[11225, 11196, 494])).
% 7.56/5.48 tff(11227,plain,
% 7.56/5.48 (~(((~v90(constB89, bitIndex1)) <=> v90(constB88, bitIndex1)) | ((~v90(constB89, bitIndex2)) <=> v90(constB88, bitIndex2)) | ((~v90(constB89, bitIndex0)) <=> v90(constB88, bitIndex0)))),
% 7.56/5.48 inference(unit_resolution,[status(thm)],[11226, 11219])).
% 7.56/5.48 tff(11228,plain,
% 7.56/5.48 ((((~v90(constB89, bitIndex1)) <=> v90(constB88, bitIndex1)) | ((~v90(constB89, bitIndex2)) <=> v90(constB88, bitIndex2)) | ((~v90(constB89, bitIndex0)) <=> v90(constB88, bitIndex0))) | (~((~v90(constB89, bitIndex2)) <=> v90(constB88, bitIndex2)))),
% 7.56/5.48 inference(tautology,[status(thm)],[])).
% 7.56/5.48 tff(11229,plain,
% 7.56/5.48 (~((~v90(constB89, bitIndex2)) <=> v90(constB88, bitIndex2))),
% 7.56/5.48 inference(unit_resolution,[status(thm)],[11228, 11227])).
% 7.56/5.48 tff(11230,plain,
% 7.56/5.48 (nextState(constB87, constB88) <=> nextState(constB87, constB88)),
% 7.56/5.48 inference(rewrite,[status(thm)],[])).
% 7.56/5.48 tff(11231,axiom,(nextState(constB87, constB88)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_87')).
% 7.56/5.48 tff(11232,plain,
% 7.56/5.48 (nextState(constB87, constB88)),
% 7.56/5.48 inference(modus_ponens,[status(thm)],[11231, 11230])).
% 7.56/5.48 tff(11233,plain,
% 7.56/5.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB87, constB88)) | (~(((~v129(constB88, bitIndex2)) <=> v127(constB87, bitIndex2)) | ((~v129(constB88, bitIndex1)) <=> v127(constB87, bitIndex1)) | ((~v129(constB88, bitIndex0)) <=> v127(constB87, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB87, constB88)) | (~(((~v129(constB88, bitIndex2)) <=> v127(constB87, bitIndex2)) | ((~v129(constB88, bitIndex1)) <=> v127(constB87, bitIndex1)) | ((~v129(constB88, bitIndex0)) <=> v127(constB87, bitIndex0)))))),
% 7.56/5.48 inference(rewrite,[status(thm)],[])).
% 7.56/5.48 tff(11234,plain,
% 7.56/5.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB87, constB88)) | (~(((~v129(constB88, bitIndex2)) <=> v127(constB87, bitIndex2)) | ((~v129(constB88, bitIndex1)) <=> v127(constB87, bitIndex1)) | ((~v129(constB88, bitIndex0)) <=> v127(constB87, bitIndex0)))))),
% 7.56/5.48 inference(quant_inst,[status(thm)],[])).
% 7.56/5.48 tff(11235,plain,
% 7.56/5.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB87, constB88)) | (~(((~v129(constB88, bitIndex2)) <=> v127(constB87, bitIndex2)) | ((~v129(constB88, bitIndex1)) <=> v127(constB87, bitIndex1)) | ((~v129(constB88, bitIndex0)) <=> v127(constB87, bitIndex0))))),
% 7.56/5.48 inference(modus_ponens,[status(thm)],[11234, 11233])).
% 7.56/5.48 tff(11236,plain,
% 7.56/5.48 (~(((~v129(constB88, bitIndex2)) <=> v127(constB87, bitIndex2)) | ((~v129(constB88, bitIndex1)) <=> v127(constB87, bitIndex1)) | ((~v129(constB88, bitIndex0)) <=> v127(constB87, bitIndex0)))),
% 7.56/5.48 inference(unit_resolution,[status(thm)],[11235, 11232, 517])).
% 7.56/5.48 tff(11237,plain,
% 7.56/5.48 ((((~v129(constB88, bitIndex2)) <=> v127(constB87, bitIndex2)) | ((~v129(constB88, bitIndex1)) <=> v127(constB87, bitIndex1)) | ((~v129(constB88, bitIndex0)) <=> v127(constB87, bitIndex0))) | (~((~v129(constB88, bitIndex2)) <=> v127(constB87, bitIndex2)))),
% 7.56/5.48 inference(tautology,[status(thm)],[])).
% 7.56/5.48 tff(11238,plain,
% 7.56/5.48 (~((~v129(constB88, bitIndex2)) <=> v127(constB87, bitIndex2))),
% 7.56/5.48 inference(unit_resolution,[status(thm)],[11237, 11236])).
% 7.56/5.48 tff(11239,plain,
% 7.56/5.48 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB87) <=> v26(constB87))),
% 7.56/5.48 inference(quant_inst,[status(thm)],[])).
% 7.56/5.48 tff(11240,plain,
% 7.56/5.48 (v111(constB87) <=> v26(constB87)),
% 7.56/5.48 inference(unit_resolution,[status(thm)],[11239, 536])).
% 7.56/5.48 tff(11241,plain,
% 7.56/5.48 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB87))),
% 7.56/5.48 inference(quant_inst,[status(thm)],[])).
% 7.56/5.48 tff(11242,plain,
% 7.56/5.48 (~v26(constB87)),
% 7.56/5.48 inference(unit_resolution,[status(thm)],[11241, 548])).
% 7.56/5.48 tff(11243,plain,
% 7.56/5.48 ((~(v111(constB87) <=> v26(constB87))) | (~v111(constB87)) | v26(constB87)),
% 7.56/5.48 inference(tautology,[status(thm)],[])).
% 7.56/5.48 tff(11244,plain,
% 7.56/5.48 ((~(v111(constB87) <=> v26(constB87))) | (~v111(constB87))),
% 7.56/5.48 inference(unit_resolution,[status(thm)],[11243, 11242])).
% 7.56/5.48 tff(11245,plain,
% 7.56/5.48 (~v111(constB87)),
% 7.56/5.48 inference(unit_resolution,[status(thm)],[11244, 11240])).
% 7.56/5.48 tff(11246,plain,
% 7.56/5.48 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB87) | (~(((~v127(constB87, bitIndex2)) <=> v130(constB87, bitIndex2)) | ((~v127(constB87, bitIndex1)) <=> v130(constB87, bitIndex1)) | ((~v127(constB87, bitIndex0)) <=> v130(constB87, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB87) | (~(((~v127(constB87, bitIndex2)) <=> v130(constB87, bitIndex2)) | ((~v127(constB87, bitIndex1)) <=> v130(constB87, bitIndex1)) | ((~v127(constB87, bitIndex0)) <=> v130(constB87, bitIndex0)))))),
% 7.56/5.48 inference(rewrite,[status(thm)],[])).
% 7.56/5.48 tff(11247,plain,
% 7.56/5.48 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB87) | (~(((~v127(constB87, bitIndex2)) <=> v130(constB87, bitIndex2)) | ((~v127(constB87, bitIndex1)) <=> v130(constB87, bitIndex1)) | ((~v127(constB87, bitIndex0)) <=> v130(constB87, bitIndex0)))))),
% 7.56/5.48 inference(quant_inst,[status(thm)],[])).
% 7.56/5.48 tff(11248,plain,
% 7.56/5.48 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB87) | (~(((~v127(constB87, bitIndex2)) <=> v130(constB87, bitIndex2)) | ((~v127(constB87, bitIndex1)) <=> v130(constB87, bitIndex1)) | ((~v127(constB87, bitIndex0)) <=> v130(constB87, bitIndex0))))),
% 7.56/5.48 inference(modus_ponens,[status(thm)],[11247, 11246])).
% 7.56/5.48 tff(11249,plain,
% 7.56/5.48 (v111(constB87) | (~(((~v127(constB87, bitIndex2)) <=> v130(constB87, bitIndex2)) | ((~v127(constB87, bitIndex1)) <=> v130(constB87, bitIndex1)) | ((~v127(constB87, bitIndex0)) <=> v130(constB87, bitIndex0))))),
% 7.56/5.48 inference(unit_resolution,[status(thm)],[11248, 566])).
% 7.56/5.48 tff(11250,plain,
% 7.56/5.48 (~(((~v127(constB87, bitIndex2)) <=> v130(constB87, bitIndex2)) | ((~v127(constB87, bitIndex1)) <=> v130(constB87, bitIndex1)) | ((~v127(constB87, bitIndex0)) <=> v130(constB87, bitIndex0)))),
% 7.56/5.48 inference(unit_resolution,[status(thm)],[11249, 11245])).
% 7.56/5.48 tff(11251,plain,
% 7.56/5.48 ((((~v127(constB87, bitIndex2)) <=> v130(constB87, bitIndex2)) | ((~v127(constB87, bitIndex1)) <=> v130(constB87, bitIndex1)) | ((~v127(constB87, bitIndex0)) <=> v130(constB87, bitIndex0))) | (~((~v127(constB87, bitIndex2)) <=> v130(constB87, bitIndex2)))),
% 7.56/5.48 inference(tautology,[status(thm)],[])).
% 7.56/5.48 tff(11252,plain,
% 7.56/5.48 (~((~v127(constB87, bitIndex2)) <=> v130(constB87, bitIndex2))),
% 7.56/5.48 inference(unit_resolution,[status(thm)],[11251, 11250])).
% 7.56/5.48 tff(11253,plain,
% 7.56/5.48 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB87) <=> (~(v90(constB87, bitIndex1) | v90(constB87, bitIndex2) | (~v90(constB87, bitIndex0)))))),
% 7.56/5.48 inference(quant_inst,[status(thm)],[])).
% 7.56/5.48 tff(11254,plain,
% 7.56/5.48 (v120(constB87) <=> (~(v90(constB87, bitIndex1) | v90(constB87, bitIndex2) | (~v90(constB87, bitIndex0))))),
% 7.56/5.48 inference(unit_resolution,[status(thm)],[11253, 665])).
% 7.56/5.48 tff(11255,plain,
% 7.56/5.48 (nextState(constB86, constB87) <=> nextState(constB86, constB87)),
% 7.56/5.48 inference(rewrite,[status(thm)],[])).
% 7.56/5.48 tff(11256,axiom,(nextState(constB86, constB87)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_86')).
% 7.56/5.48 tff(11257,plain,
% 7.56/5.48 (nextState(constB86, constB87)),
% 7.56/5.48 inference(modus_ponens,[status(thm)],[11256, 11255])).
% 7.56/5.48 tff(11258,plain,
% 7.56/5.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB86, constB87)) | (v100(constB87) <=> (~((~v101(constB87)) | (~v110(constB87))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB86, constB87)) | (v100(constB87) <=> (~((~v101(constB87)) | (~v110(constB87))))))),
% 7.56/5.48 inference(rewrite,[status(thm)],[])).
% 7.56/5.48 tff(11259,plain,
% 7.56/5.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB86, constB87)) | (v100(constB87) <=> (~((~v101(constB87)) | (~v110(constB87))))))),
% 7.56/5.48 inference(quant_inst,[status(thm)],[])).
% 7.56/5.48 tff(11260,plain,
% 7.56/5.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB86, constB87)) | (v100(constB87) <=> (~((~v101(constB87)) | (~v110(constB87)))))),
% 7.56/5.48 inference(modus_ponens,[status(thm)],[11259, 11258])).
% 7.56/5.48 tff(11261,plain,
% 7.56/5.48 (v100(constB87) <=> (~((~v101(constB87)) | (~v110(constB87))))),
% 7.56/5.48 inference(unit_resolution,[status(thm)],[11260, 11257, 445])).
% 7.56/5.48 tff(11262,plain,
% 7.56/5.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB86, constB87)) | (v101(constB87) <=> (~((~v1(constB87)) | (~v102(constB87))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB86, constB87)) | (v101(constB87) <=> (~((~v1(constB87)) | (~v102(constB87))))))),
% 7.57/5.48 inference(rewrite,[status(thm)],[])).
% 7.57/5.48 tff(11263,plain,
% 7.57/5.48 (((~nextState(constB86, constB87)) | (v101(constB87) <=> (~((~v102(constB87)) | (~v1(constB87)))))) <=> ((~nextState(constB86, constB87)) | (v101(constB87) <=> (~((~v1(constB87)) | (~v102(constB87))))))),
% 7.57/5.48 inference(rewrite,[status(thm)],[])).
% 7.57/5.48 tff(11264,plain,
% 7.57/5.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB86, constB87)) | (v101(constB87) <=> (~((~v102(constB87)) | (~v1(constB87))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB86, constB87)) | (v101(constB87) <=> (~((~v1(constB87)) | (~v102(constB87)))))))),
% 7.57/5.48 inference(monotonicity,[status(thm)],[11263])).
% 7.57/5.48 tff(11265,plain,
% 7.57/5.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB86, constB87)) | (v101(constB87) <=> (~((~v102(constB87)) | (~v1(constB87))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB86, constB87)) | (v101(constB87) <=> (~((~v1(constB87)) | (~v102(constB87))))))),
% 7.57/5.48 inference(transitivity,[status(thm)],[11264, 11262])).
% 7.57/5.48 tff(11266,plain,
% 7.57/5.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB86, constB87)) | (v101(constB87) <=> (~((~v102(constB87)) | (~v1(constB87))))))),
% 7.57/5.48 inference(quant_inst,[status(thm)],[])).
% 7.57/5.48 tff(11267,plain,
% 7.57/5.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB86, constB87)) | (v101(constB87) <=> (~((~v1(constB87)) | (~v102(constB87)))))),
% 7.57/5.48 inference(modus_ponens,[status(thm)],[11266, 11265])).
% 7.57/5.48 tff(11268,plain,
% 7.57/5.48 (v101(constB87) <=> (~((~v1(constB87)) | (~v102(constB87))))),
% 7.57/5.48 inference(unit_resolution,[status(thm)],[11267, 11257, 465])).
% 7.57/5.48 tff(11269,plain,
% 7.57/5.48 ((~v1(constB87)) <=> (~v1(constB87))),
% 7.57/5.48 inference(rewrite,[status(thm)],[])).
% 7.57/5.48 tff(11270,axiom,(~v1(constB87)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_87')).
% 7.57/5.48 tff(11271,plain,
% 7.57/5.48 (~v1(constB87)),
% 7.57/5.48 inference(modus_ponens,[status(thm)],[11270, 11269])).
% 7.57/5.48 tff(11272,plain,
% 7.57/5.48 (((~v1(constB87)) | (~v102(constB87))) | v1(constB87)),
% 7.57/5.48 inference(tautology,[status(thm)],[])).
% 7.57/5.48 tff(11273,plain,
% 7.57/5.48 ((~v1(constB87)) | (~v102(constB87))),
% 7.57/5.48 inference(unit_resolution,[status(thm)],[11272, 11271])).
% 7.57/5.48 tff(11274,plain,
% 7.57/5.48 ((~(v101(constB87) <=> (~((~v1(constB87)) | (~v102(constB87)))))) | (~v101(constB87)) | (~((~v1(constB87)) | (~v102(constB87))))),
% 7.57/5.48 inference(tautology,[status(thm)],[])).
% 7.57/5.48 tff(11275,plain,
% 7.57/5.48 ((~(v101(constB87) <=> (~((~v1(constB87)) | (~v102(constB87)))))) | (~v101(constB87))),
% 7.57/5.48 inference(unit_resolution,[status(thm)],[11274, 11273])).
% 7.57/5.48 tff(11276,plain,
% 7.57/5.48 (~v101(constB87)),
% 7.57/5.48 inference(unit_resolution,[status(thm)],[11275, 11268])).
% 7.57/5.48 tff(11277,plain,
% 7.57/5.48 (((~v101(constB87)) | (~v110(constB87))) | v101(constB87)),
% 7.57/5.48 inference(tautology,[status(thm)],[])).
% 7.57/5.48 tff(11278,plain,
% 7.57/5.48 ((~v101(constB87)) | (~v110(constB87))),
% 7.57/5.48 inference(unit_resolution,[status(thm)],[11277, 11276])).
% 7.57/5.48 tff(11279,plain,
% 7.57/5.48 ((~(v100(constB87) <=> (~((~v101(constB87)) | (~v110(constB87)))))) | (~v100(constB87)) | (~((~v101(constB87)) | (~v110(constB87))))),
% 7.57/5.48 inference(tautology,[status(thm)],[])).
% 7.57/5.48 tff(11280,plain,
% 7.57/5.48 (~v100(constB87)),
% 7.57/5.48 inference(unit_resolution,[status(thm)],[11279, 11278, 11261])).
% 7.57/5.48 tff(11281,plain,
% 7.57/5.48 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB87) | (~nextState(constB86, constB87)) | (~(((~v90(constB87, bitIndex1)) <=> v90(constB86, bitIndex1)) | ((~v90(constB87, bitIndex2)) <=> v90(constB86, bitIndex2)) | ((~v90(constB87, bitIndex0)) <=> v90(constB86, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB87) | (~nextState(constB86, constB87)) | (~(((~v90(constB87, bitIndex1)) <=> v90(constB86, bitIndex1)) | ((~v90(constB87, bitIndex2)) <=> v90(constB86, bitIndex2)) | ((~v90(constB87, bitIndex0)) <=> v90(constB86, bitIndex0)))))),
% 7.57/5.48 inference(rewrite,[status(thm)],[])).
% 7.57/5.48 tff(11282,plain,
% 7.57/5.48 ((v100(constB87) | (~nextState(constB86, constB87)) | (~(((~v90(constB87, bitIndex2)) <=> v90(constB86, bitIndex2)) | ((~v90(constB87, bitIndex1)) <=> v90(constB86, bitIndex1)) | ((~v90(constB87, bitIndex0)) <=> v90(constB86, bitIndex0))))) <=> (v100(constB87) | (~nextState(constB86, constB87)) | (~(((~v90(constB87, bitIndex1)) <=> v90(constB86, bitIndex1)) | ((~v90(constB87, bitIndex2)) <=> v90(constB86, bitIndex2)) | ((~v90(constB87, bitIndex0)) <=> v90(constB86, bitIndex0)))))),
% 7.57/5.48 inference(rewrite,[status(thm)],[])).
% 7.57/5.48 tff(11283,plain,
% 7.57/5.48 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB87) | (~nextState(constB86, constB87)) | (~(((~v90(constB87, bitIndex2)) <=> v90(constB86, bitIndex2)) | ((~v90(constB87, bitIndex1)) <=> v90(constB86, bitIndex1)) | ((~v90(constB87, bitIndex0)) <=> v90(constB86, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB87) | (~nextState(constB86, constB87)) | (~(((~v90(constB87, bitIndex1)) <=> v90(constB86, bitIndex1)) | ((~v90(constB87, bitIndex2)) <=> v90(constB86, bitIndex2)) | ((~v90(constB87, bitIndex0)) <=> v90(constB86, bitIndex0))))))),
% 7.57/5.48 inference(monotonicity,[status(thm)],[11282])).
% 7.57/5.48 tff(11284,plain,
% 7.57/5.48 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB87) | (~nextState(constB86, constB87)) | (~(((~v90(constB87, bitIndex2)) <=> v90(constB86, bitIndex2)) | ((~v90(constB87, bitIndex1)) <=> v90(constB86, bitIndex1)) | ((~v90(constB87, bitIndex0)) <=> v90(constB86, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB87) | (~nextState(constB86, constB87)) | (~(((~v90(constB87, bitIndex1)) <=> v90(constB86, bitIndex1)) | ((~v90(constB87, bitIndex2)) <=> v90(constB86, bitIndex2)) | ((~v90(constB87, bitIndex0)) <=> v90(constB86, bitIndex0)))))),
% 7.57/5.48 inference(transitivity,[status(thm)],[11283, 11281])).
% 7.57/5.48 tff(11285,plain,
% 7.57/5.48 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB87) | (~nextState(constB86, constB87)) | (~(((~v90(constB87, bitIndex2)) <=> v90(constB86, bitIndex2)) | ((~v90(constB87, bitIndex1)) <=> v90(constB86, bitIndex1)) | ((~v90(constB87, bitIndex0)) <=> v90(constB86, bitIndex0)))))),
% 7.57/5.48 inference(quant_inst,[status(thm)],[])).
% 7.57/5.48 tff(11286,plain,
% 7.57/5.48 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB87) | (~nextState(constB86, constB87)) | (~(((~v90(constB87, bitIndex1)) <=> v90(constB86, bitIndex1)) | ((~v90(constB87, bitIndex2)) <=> v90(constB86, bitIndex2)) | ((~v90(constB87, bitIndex0)) <=> v90(constB86, bitIndex0))))),
% 7.57/5.48 inference(modus_ponens,[status(thm)],[11285, 11284])).
% 7.57/5.48 tff(11287,plain,
% 7.57/5.48 (v100(constB87) | (~(((~v90(constB87, bitIndex1)) <=> v90(constB86, bitIndex1)) | ((~v90(constB87, bitIndex2)) <=> v90(constB86, bitIndex2)) | ((~v90(constB87, bitIndex0)) <=> v90(constB86, bitIndex0))))),
% 7.57/5.49 inference(unit_resolution,[status(thm)],[11286, 11257, 494])).
% 7.57/5.49 tff(11288,plain,
% 7.57/5.49 (~(((~v90(constB87, bitIndex1)) <=> v90(constB86, bitIndex1)) | ((~v90(constB87, bitIndex2)) <=> v90(constB86, bitIndex2)) | ((~v90(constB87, bitIndex0)) <=> v90(constB86, bitIndex0)))),
% 7.57/5.49 inference(unit_resolution,[status(thm)],[11287, 11280])).
% 7.57/5.49 tff(11289,plain,
% 7.57/5.49 ((((~v90(constB87, bitIndex1)) <=> v90(constB86, bitIndex1)) | ((~v90(constB87, bitIndex2)) <=> v90(constB86, bitIndex2)) | ((~v90(constB87, bitIndex0)) <=> v90(constB86, bitIndex0))) | (~((~v90(constB87, bitIndex2)) <=> v90(constB86, bitIndex2)))),
% 7.57/5.49 inference(tautology,[status(thm)],[])).
% 7.57/5.49 tff(11290,plain,
% 7.57/5.49 (~((~v90(constB87, bitIndex2)) <=> v90(constB86, bitIndex2))),
% 7.57/5.49 inference(unit_resolution,[status(thm)],[11289, 11288])).
% 7.57/5.49 tff(11291,plain,
% 7.57/5.49 (nextState(constB85, constB86) <=> nextState(constB85, constB86)),
% 7.57/5.49 inference(rewrite,[status(thm)],[])).
% 7.57/5.49 tff(11292,axiom,(nextState(constB85, constB86)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_85')).
% 7.57/5.49 tff(11293,plain,
% 7.57/5.49 (nextState(constB85, constB86)),
% 7.57/5.49 inference(modus_ponens,[status(thm)],[11292, 11291])).
% 7.57/5.49 tff(11294,plain,
% 7.57/5.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB85, constB86)) | (~(((~v129(constB86, bitIndex2)) <=> v127(constB85, bitIndex2)) | ((~v129(constB86, bitIndex1)) <=> v127(constB85, bitIndex1)) | ((~v129(constB86, bitIndex0)) <=> v127(constB85, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB85, constB86)) | (~(((~v129(constB86, bitIndex2)) <=> v127(constB85, bitIndex2)) | ((~v129(constB86, bitIndex1)) <=> v127(constB85, bitIndex1)) | ((~v129(constB86, bitIndex0)) <=> v127(constB85, bitIndex0)))))),
% 7.57/5.49 inference(rewrite,[status(thm)],[])).
% 7.57/5.49 tff(11295,plain,
% 7.57/5.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB85, constB86)) | (~(((~v129(constB86, bitIndex2)) <=> v127(constB85, bitIndex2)) | ((~v129(constB86, bitIndex1)) <=> v127(constB85, bitIndex1)) | ((~v129(constB86, bitIndex0)) <=> v127(constB85, bitIndex0)))))),
% 7.57/5.49 inference(quant_inst,[status(thm)],[])).
% 7.57/5.49 tff(11296,plain,
% 7.57/5.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB85, constB86)) | (~(((~v129(constB86, bitIndex2)) <=> v127(constB85, bitIndex2)) | ((~v129(constB86, bitIndex1)) <=> v127(constB85, bitIndex1)) | ((~v129(constB86, bitIndex0)) <=> v127(constB85, bitIndex0))))),
% 7.57/5.49 inference(modus_ponens,[status(thm)],[11295, 11294])).
% 7.57/5.49 tff(11297,plain,
% 7.57/5.49 (~(((~v129(constB86, bitIndex2)) <=> v127(constB85, bitIndex2)) | ((~v129(constB86, bitIndex1)) <=> v127(constB85, bitIndex1)) | ((~v129(constB86, bitIndex0)) <=> v127(constB85, bitIndex0)))),
% 7.57/5.49 inference(unit_resolution,[status(thm)],[11296, 11293, 517])).
% 7.57/5.49 tff(11298,plain,
% 7.57/5.49 ((((~v129(constB86, bitIndex2)) <=> v127(constB85, bitIndex2)) | ((~v129(constB86, bitIndex1)) <=> v127(constB85, bitIndex1)) | ((~v129(constB86, bitIndex0)) <=> v127(constB85, bitIndex0))) | (~((~v129(constB86, bitIndex2)) <=> v127(constB85, bitIndex2)))),
% 7.57/5.49 inference(tautology,[status(thm)],[])).
% 7.57/5.49 tff(11299,plain,
% 7.57/5.49 (~((~v129(constB86, bitIndex2)) <=> v127(constB85, bitIndex2))),
% 7.57/5.49 inference(unit_resolution,[status(thm)],[11298, 11297])).
% 7.57/5.49 tff(11300,plain,
% 7.57/5.49 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB85) <=> v26(constB85))),
% 7.57/5.49 inference(quant_inst,[status(thm)],[])).
% 7.57/5.49 tff(11301,plain,
% 7.57/5.49 (v111(constB85) <=> v26(constB85)),
% 7.57/5.49 inference(unit_resolution,[status(thm)],[11300, 536])).
% 7.57/5.49 tff(11302,plain,
% 7.57/5.49 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB85))),
% 7.57/5.49 inference(quant_inst,[status(thm)],[])).
% 7.57/5.49 tff(11303,plain,
% 7.57/5.49 (~v26(constB85)),
% 7.57/5.49 inference(unit_resolution,[status(thm)],[11302, 548])).
% 7.57/5.49 tff(11304,plain,
% 7.57/5.49 ((~(v111(constB85) <=> v26(constB85))) | (~v111(constB85)) | v26(constB85)),
% 7.57/5.49 inference(tautology,[status(thm)],[])).
% 7.57/5.49 tff(11305,plain,
% 7.57/5.49 ((~(v111(constB85) <=> v26(constB85))) | (~v111(constB85))),
% 7.57/5.49 inference(unit_resolution,[status(thm)],[11304, 11303])).
% 7.57/5.49 tff(11306,plain,
% 7.57/5.49 (~v111(constB85)),
% 7.57/5.49 inference(unit_resolution,[status(thm)],[11305, 11301])).
% 7.57/5.49 tff(11307,plain,
% 7.57/5.49 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB85) | (~(((~v127(constB85, bitIndex2)) <=> v130(constB85, bitIndex2)) | ((~v127(constB85, bitIndex1)) <=> v130(constB85, bitIndex1)) | ((~v127(constB85, bitIndex0)) <=> v130(constB85, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB85) | (~(((~v127(constB85, bitIndex2)) <=> v130(constB85, bitIndex2)) | ((~v127(constB85, bitIndex1)) <=> v130(constB85, bitIndex1)) | ((~v127(constB85, bitIndex0)) <=> v130(constB85, bitIndex0)))))),
% 7.57/5.49 inference(rewrite,[status(thm)],[])).
% 7.57/5.49 tff(11308,plain,
% 7.57/5.49 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB85) | (~(((~v127(constB85, bitIndex2)) <=> v130(constB85, bitIndex2)) | ((~v127(constB85, bitIndex1)) <=> v130(constB85, bitIndex1)) | ((~v127(constB85, bitIndex0)) <=> v130(constB85, bitIndex0)))))),
% 7.57/5.49 inference(quant_inst,[status(thm)],[])).
% 7.57/5.49 tff(11309,plain,
% 7.57/5.49 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB85) | (~(((~v127(constB85, bitIndex2)) <=> v130(constB85, bitIndex2)) | ((~v127(constB85, bitIndex1)) <=> v130(constB85, bitIndex1)) | ((~v127(constB85, bitIndex0)) <=> v130(constB85, bitIndex0))))),
% 7.57/5.49 inference(modus_ponens,[status(thm)],[11308, 11307])).
% 7.57/5.49 tff(11310,plain,
% 7.57/5.49 (v111(constB85) | (~(((~v127(constB85, bitIndex2)) <=> v130(constB85, bitIndex2)) | ((~v127(constB85, bitIndex1)) <=> v130(constB85, bitIndex1)) | ((~v127(constB85, bitIndex0)) <=> v130(constB85, bitIndex0))))),
% 7.57/5.49 inference(unit_resolution,[status(thm)],[11309, 566])).
% 7.57/5.49 tff(11311,plain,
% 7.57/5.49 (~(((~v127(constB85, bitIndex2)) <=> v130(constB85, bitIndex2)) | ((~v127(constB85, bitIndex1)) <=> v130(constB85, bitIndex1)) | ((~v127(constB85, bitIndex0)) <=> v130(constB85, bitIndex0)))),
% 7.57/5.49 inference(unit_resolution,[status(thm)],[11310, 11306])).
% 7.57/5.49 tff(11312,plain,
% 7.57/5.49 ((((~v127(constB85, bitIndex2)) <=> v130(constB85, bitIndex2)) | ((~v127(constB85, bitIndex1)) <=> v130(constB85, bitIndex1)) | ((~v127(constB85, bitIndex0)) <=> v130(constB85, bitIndex0))) | (~((~v127(constB85, bitIndex2)) <=> v130(constB85, bitIndex2)))),
% 7.57/5.49 inference(tautology,[status(thm)],[])).
% 7.57/5.49 tff(11313,plain,
% 7.57/5.49 (~((~v127(constB85, bitIndex2)) <=> v130(constB85, bitIndex2))),
% 7.57/5.49 inference(unit_resolution,[status(thm)],[11312, 11311])).
% 7.57/5.49 tff(11314,plain,
% 7.57/5.49 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB85) <=> (~(v90(constB85, bitIndex0) | v90(constB85, bitIndex1) | v90(constB85, bitIndex2))))),
% 7.57/5.49 inference(quant_inst,[status(thm)],[])).
% 7.57/5.49 tff(11315,plain,
% 7.57/5.49 (v119(constB85) <=> (~(v90(constB85, bitIndex0) | v90(constB85, bitIndex1) | v90(constB85, bitIndex2)))),
% 7.57/5.49 inference(unit_resolution,[status(thm)],[11314, 1085])).
% 7.57/5.49 tff(11316,plain,
% 7.57/5.49 (nextState(constB84, constB85) <=> nextState(constB84, constB85)),
% 7.57/5.49 inference(rewrite,[status(thm)],[])).
% 7.57/5.49 tff(11317,axiom,(nextState(constB84, constB85)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_84')).
% 7.57/5.49 tff(11318,plain,
% 7.57/5.49 (nextState(constB84, constB85)),
% 7.57/5.49 inference(modus_ponens,[status(thm)],[11317, 11316])).
% 7.57/5.49 tff(11319,plain,
% 7.57/5.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB84, constB85)) | (v100(constB85) <=> (~((~v101(constB85)) | (~v110(constB85))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB84, constB85)) | (v100(constB85) <=> (~((~v101(constB85)) | (~v110(constB85))))))),
% 7.57/5.49 inference(rewrite,[status(thm)],[])).
% 7.57/5.49 tff(11320,plain,
% 7.57/5.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB84, constB85)) | (v100(constB85) <=> (~((~v101(constB85)) | (~v110(constB85))))))),
% 7.57/5.49 inference(quant_inst,[status(thm)],[])).
% 7.57/5.49 tff(11321,plain,
% 7.57/5.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB84, constB85)) | (v100(constB85) <=> (~((~v101(constB85)) | (~v110(constB85)))))),
% 7.57/5.49 inference(modus_ponens,[status(thm)],[11320, 11319])).
% 7.57/5.49 tff(11322,plain,
% 7.57/5.49 (v100(constB85) <=> (~((~v101(constB85)) | (~v110(constB85))))),
% 7.57/5.49 inference(unit_resolution,[status(thm)],[11321, 11318, 445])).
% 7.57/5.49 tff(11323,plain,
% 7.57/5.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB84, constB85)) | (v101(constB85) <=> (~((~v1(constB85)) | (~v102(constB85))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB84, constB85)) | (v101(constB85) <=> (~((~v1(constB85)) | (~v102(constB85))))))),
% 7.57/5.49 inference(rewrite,[status(thm)],[])).
% 7.57/5.49 tff(11324,plain,
% 7.57/5.49 (((~nextState(constB84, constB85)) | (v101(constB85) <=> (~((~v102(constB85)) | (~v1(constB85)))))) <=> ((~nextState(constB84, constB85)) | (v101(constB85) <=> (~((~v1(constB85)) | (~v102(constB85))))))),
% 7.57/5.49 inference(rewrite,[status(thm)],[])).
% 7.57/5.49 tff(11325,plain,
% 7.57/5.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB84, constB85)) | (v101(constB85) <=> (~((~v102(constB85)) | (~v1(constB85))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB84, constB85)) | (v101(constB85) <=> (~((~v1(constB85)) | (~v102(constB85)))))))),
% 7.57/5.49 inference(monotonicity,[status(thm)],[11324])).
% 7.57/5.49 tff(11326,plain,
% 7.57/5.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB84, constB85)) | (v101(constB85) <=> (~((~v102(constB85)) | (~v1(constB85))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB84, constB85)) | (v101(constB85) <=> (~((~v1(constB85)) | (~v102(constB85))))))),
% 7.57/5.49 inference(transitivity,[status(thm)],[11325, 11323])).
% 7.57/5.49 tff(11327,plain,
% 7.57/5.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB84, constB85)) | (v101(constB85) <=> (~((~v102(constB85)) | (~v1(constB85))))))),
% 7.57/5.49 inference(quant_inst,[status(thm)],[])).
% 7.57/5.49 tff(11328,plain,
% 7.57/5.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB84, constB85)) | (v101(constB85) <=> (~((~v1(constB85)) | (~v102(constB85)))))),
% 7.57/5.49 inference(modus_ponens,[status(thm)],[11327, 11326])).
% 7.57/5.49 tff(11329,plain,
% 7.57/5.49 (v101(constB85) <=> (~((~v1(constB85)) | (~v102(constB85))))),
% 7.57/5.49 inference(unit_resolution,[status(thm)],[11328, 11318, 465])).
% 7.57/5.49 tff(11330,plain,
% 7.57/5.49 ((~v1(constB85)) <=> (~v1(constB85))),
% 7.57/5.49 inference(rewrite,[status(thm)],[])).
% 7.57/5.49 tff(11331,axiom,(~v1(constB85)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_85')).
% 7.57/5.49 tff(11332,plain,
% 7.57/5.49 (~v1(constB85)),
% 7.57/5.49 inference(modus_ponens,[status(thm)],[11331, 11330])).
% 7.57/5.49 tff(11333,plain,
% 7.57/5.49 (((~v1(constB85)) | (~v102(constB85))) | v1(constB85)),
% 7.57/5.49 inference(tautology,[status(thm)],[])).
% 7.57/5.49 tff(11334,plain,
% 7.57/5.49 ((~v1(constB85)) | (~v102(constB85))),
% 7.57/5.49 inference(unit_resolution,[status(thm)],[11333, 11332])).
% 7.57/5.49 tff(11335,plain,
% 7.57/5.49 ((~(v101(constB85) <=> (~((~v1(constB85)) | (~v102(constB85)))))) | (~v101(constB85)) | (~((~v1(constB85)) | (~v102(constB85))))),
% 7.57/5.49 inference(tautology,[status(thm)],[])).
% 7.57/5.49 tff(11336,plain,
% 7.57/5.49 ((~(v101(constB85) <=> (~((~v1(constB85)) | (~v102(constB85)))))) | (~v101(constB85))),
% 7.57/5.49 inference(unit_resolution,[status(thm)],[11335, 11334])).
% 7.57/5.49 tff(11337,plain,
% 7.57/5.49 (~v101(constB85)),
% 7.57/5.49 inference(unit_resolution,[status(thm)],[11336, 11329])).
% 7.57/5.49 tff(11338,plain,
% 7.57/5.49 (((~v101(constB85)) | (~v110(constB85))) | v101(constB85)),
% 7.57/5.49 inference(tautology,[status(thm)],[])).
% 7.57/5.49 tff(11339,plain,
% 7.57/5.49 ((~v101(constB85)) | (~v110(constB85))),
% 7.57/5.49 inference(unit_resolution,[status(thm)],[11338, 11337])).
% 7.57/5.49 tff(11340,plain,
% 7.57/5.49 ((~(v100(constB85) <=> (~((~v101(constB85)) | (~v110(constB85)))))) | (~v100(constB85)) | (~((~v101(constB85)) | (~v110(constB85))))),
% 7.57/5.49 inference(tautology,[status(thm)],[])).
% 7.57/5.49 tff(11341,plain,
% 7.57/5.49 (~v100(constB85)),
% 7.57/5.49 inference(unit_resolution,[status(thm)],[11340, 11339, 11322])).
% 7.57/5.49 tff(11342,plain,
% 7.57/5.49 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB85) | (~nextState(constB84, constB85)) | (~(((~v90(constB85, bitIndex1)) <=> v90(constB84, bitIndex1)) | ((~v90(constB85, bitIndex2)) <=> v90(constB84, bitIndex2)) | ((~v90(constB85, bitIndex0)) <=> v90(constB84, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB85) | (~nextState(constB84, constB85)) | (~(((~v90(constB85, bitIndex1)) <=> v90(constB84, bitIndex1)) | ((~v90(constB85, bitIndex2)) <=> v90(constB84, bitIndex2)) | ((~v90(constB85, bitIndex0)) <=> v90(constB84, bitIndex0)))))),
% 7.57/5.49 inference(rewrite,[status(thm)],[])).
% 7.57/5.49 tff(11343,plain,
% 7.57/5.49 ((v100(constB85) | (~nextState(constB84, constB85)) | (~(((~v90(constB85, bitIndex2)) <=> v90(constB84, bitIndex2)) | ((~v90(constB85, bitIndex1)) <=> v90(constB84, bitIndex1)) | ((~v90(constB85, bitIndex0)) <=> v90(constB84, bitIndex0))))) <=> (v100(constB85) | (~nextState(constB84, constB85)) | (~(((~v90(constB85, bitIndex1)) <=> v90(constB84, bitIndex1)) | ((~v90(constB85, bitIndex2)) <=> v90(constB84, bitIndex2)) | ((~v90(constB85, bitIndex0)) <=> v90(constB84, bitIndex0)))))),
% 7.57/5.49 inference(rewrite,[status(thm)],[])).
% 7.57/5.49 tff(11344,plain,
% 7.57/5.49 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB85) | (~nextState(constB84, constB85)) | (~(((~v90(constB85, bitIndex2)) <=> v90(constB84, bitIndex2)) | ((~v90(constB85, bitIndex1)) <=> v90(constB84, bitIndex1)) | ((~v90(constB85, bitIndex0)) <=> v90(constB84, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB85) | (~nextState(constB84, constB85)) | (~(((~v90(constB85, bitIndex1)) <=> v90(constB84, bitIndex1)) | ((~v90(constB85, bitIndex2)) <=> v90(constB84, bitIndex2)) | ((~v90(constB85, bitIndex0)) <=> v90(constB84, bitIndex0))))))),
% 7.57/5.49 inference(monotonicity,[status(thm)],[11343])).
% 7.57/5.49 tff(11345,plain,
% 7.57/5.49 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB85) | (~nextState(constB84, constB85)) | (~(((~v90(constB85, bitIndex2)) <=> v90(constB84, bitIndex2)) | ((~v90(constB85, bitIndex1)) <=> v90(constB84, bitIndex1)) | ((~v90(constB85, bitIndex0)) <=> v90(constB84, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB85) | (~nextState(constB84, constB85)) | (~(((~v90(constB85, bitIndex1)) <=> v90(constB84, bitIndex1)) | ((~v90(constB85, bitIndex2)) <=> v90(constB84, bitIndex2)) | ((~v90(constB85, bitIndex0)) <=> v90(constB84, bitIndex0)))))),
% 7.57/5.49 inference(transitivity,[status(thm)],[11344, 11342])).
% 7.57/5.49 tff(11346,plain,
% 7.57/5.49 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB85) | (~nextState(constB84, constB85)) | (~(((~v90(constB85, bitIndex2)) <=> v90(constB84, bitIndex2)) | ((~v90(constB85, bitIndex1)) <=> v90(constB84, bitIndex1)) | ((~v90(constB85, bitIndex0)) <=> v90(constB84, bitIndex0)))))),
% 7.57/5.49 inference(quant_inst,[status(thm)],[])).
% 7.57/5.49 tff(11347,plain,
% 7.57/5.49 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB85) | (~nextState(constB84, constB85)) | (~(((~v90(constB85, bitIndex1)) <=> v90(constB84, bitIndex1)) | ((~v90(constB85, bitIndex2)) <=> v90(constB84, bitIndex2)) | ((~v90(constB85, bitIndex0)) <=> v90(constB84, bitIndex0))))),
% 7.57/5.49 inference(modus_ponens,[status(thm)],[11346, 11345])).
% 7.57/5.49 tff(11348,plain,
% 7.57/5.49 (v100(constB85) | (~(((~v90(constB85, bitIndex1)) <=> v90(constB84, bitIndex1)) | ((~v90(constB85, bitIndex2)) <=> v90(constB84, bitIndex2)) | ((~v90(constB85, bitIndex0)) <=> v90(constB84, bitIndex0))))),
% 7.57/5.49 inference(unit_resolution,[status(thm)],[11347, 11318, 494])).
% 7.57/5.49 tff(11349,plain,
% 7.57/5.49 (~(((~v90(constB85, bitIndex1)) <=> v90(constB84, bitIndex1)) | ((~v90(constB85, bitIndex2)) <=> v90(constB84, bitIndex2)) | ((~v90(constB85, bitIndex0)) <=> v90(constB84, bitIndex0)))),
% 7.57/5.49 inference(unit_resolution,[status(thm)],[11348, 11341])).
% 7.57/5.49 tff(11350,plain,
% 7.57/5.49 ((((~v90(constB85, bitIndex1)) <=> v90(constB84, bitIndex1)) | ((~v90(constB85, bitIndex2)) <=> v90(constB84, bitIndex2)) | ((~v90(constB85, bitIndex0)) <=> v90(constB84, bitIndex0))) | (~((~v90(constB85, bitIndex2)) <=> v90(constB84, bitIndex2)))),
% 7.57/5.49 inference(tautology,[status(thm)],[])).
% 7.57/5.49 tff(11351,plain,
% 7.57/5.49 (~((~v90(constB85, bitIndex2)) <=> v90(constB84, bitIndex2))),
% 7.57/5.49 inference(unit_resolution,[status(thm)],[11350, 11349])).
% 7.57/5.49 tff(11352,plain,
% 7.57/5.49 (nextState(constB83, constB84) <=> nextState(constB83, constB84)),
% 7.57/5.49 inference(rewrite,[status(thm)],[])).
% 7.57/5.49 tff(11353,axiom,(nextState(constB83, constB84)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_83')).
% 7.57/5.49 tff(11354,plain,
% 7.57/5.49 (nextState(constB83, constB84)),
% 7.57/5.49 inference(modus_ponens,[status(thm)],[11353, 11352])).
% 7.57/5.49 tff(11355,plain,
% 7.57/5.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB83, constB84)) | (~(((~v129(constB84, bitIndex2)) <=> v127(constB83, bitIndex2)) | ((~v129(constB84, bitIndex1)) <=> v127(constB83, bitIndex1)) | ((~v129(constB84, bitIndex0)) <=> v127(constB83, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB83, constB84)) | (~(((~v129(constB84, bitIndex2)) <=> v127(constB83, bitIndex2)) | ((~v129(constB84, bitIndex1)) <=> v127(constB83, bitIndex1)) | ((~v129(constB84, bitIndex0)) <=> v127(constB83, bitIndex0)))))),
% 7.57/5.49 inference(rewrite,[status(thm)],[])).
% 7.57/5.49 tff(11356,plain,
% 7.57/5.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB83, constB84)) | (~(((~v129(constB84, bitIndex2)) <=> v127(constB83, bitIndex2)) | ((~v129(constB84, bitIndex1)) <=> v127(constB83, bitIndex1)) | ((~v129(constB84, bitIndex0)) <=> v127(constB83, bitIndex0)))))),
% 7.57/5.49 inference(quant_inst,[status(thm)],[])).
% 7.57/5.49 tff(11357,plain,
% 7.57/5.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB83, constB84)) | (~(((~v129(constB84, bitIndex2)) <=> v127(constB83, bitIndex2)) | ((~v129(constB84, bitIndex1)) <=> v127(constB83, bitIndex1)) | ((~v129(constB84, bitIndex0)) <=> v127(constB83, bitIndex0))))),
% 7.57/5.49 inference(modus_ponens,[status(thm)],[11356, 11355])).
% 7.57/5.49 tff(11358,plain,
% 7.57/5.49 (~(((~v129(constB84, bitIndex2)) <=> v127(constB83, bitIndex2)) | ((~v129(constB84, bitIndex1)) <=> v127(constB83, bitIndex1)) | ((~v129(constB84, bitIndex0)) <=> v127(constB83, bitIndex0)))),
% 7.57/5.49 inference(unit_resolution,[status(thm)],[11357, 11354, 517])).
% 7.57/5.49 tff(11359,plain,
% 7.57/5.49 ((((~v129(constB84, bitIndex2)) <=> v127(constB83, bitIndex2)) | ((~v129(constB84, bitIndex1)) <=> v127(constB83, bitIndex1)) | ((~v129(constB84, bitIndex0)) <=> v127(constB83, bitIndex0))) | (~((~v129(constB84, bitIndex2)) <=> v127(constB83, bitIndex2)))),
% 7.57/5.49 inference(tautology,[status(thm)],[])).
% 7.57/5.49 tff(11360,plain,
% 7.57/5.49 (~((~v129(constB84, bitIndex2)) <=> v127(constB83, bitIndex2))),
% 7.57/5.49 inference(unit_resolution,[status(thm)],[11359, 11358])).
% 7.57/5.49 tff(11361,plain,
% 7.57/5.49 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB83) <=> v26(constB83))),
% 7.57/5.49 inference(quant_inst,[status(thm)],[])).
% 7.57/5.49 tff(11362,plain,
% 7.57/5.49 (v111(constB83) <=> v26(constB83)),
% 7.57/5.49 inference(unit_resolution,[status(thm)],[11361, 536])).
% 7.57/5.49 tff(11363,plain,
% 7.57/5.49 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB83))),
% 7.57/5.49 inference(quant_inst,[status(thm)],[])).
% 7.57/5.49 tff(11364,plain,
% 7.57/5.49 (~v26(constB83)),
% 7.57/5.49 inference(unit_resolution,[status(thm)],[11363, 548])).
% 7.57/5.49 tff(11365,plain,
% 7.57/5.49 ((~(v111(constB83) <=> v26(constB83))) | (~v111(constB83)) | v26(constB83)),
% 7.57/5.49 inference(tautology,[status(thm)],[])).
% 7.57/5.49 tff(11366,plain,
% 7.57/5.49 ((~(v111(constB83) <=> v26(constB83))) | (~v111(constB83))),
% 7.57/5.49 inference(unit_resolution,[status(thm)],[11365, 11364])).
% 7.57/5.49 tff(11367,plain,
% 7.57/5.49 (~v111(constB83)),
% 7.57/5.49 inference(unit_resolution,[status(thm)],[11366, 11362])).
% 7.57/5.49 tff(11368,plain,
% 7.57/5.49 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB83) | (~(((~v127(constB83, bitIndex2)) <=> v130(constB83, bitIndex2)) | ((~v127(constB83, bitIndex1)) <=> v130(constB83, bitIndex1)) | ((~v127(constB83, bitIndex0)) <=> v130(constB83, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB83) | (~(((~v127(constB83, bitIndex2)) <=> v130(constB83, bitIndex2)) | ((~v127(constB83, bitIndex1)) <=> v130(constB83, bitIndex1)) | ((~v127(constB83, bitIndex0)) <=> v130(constB83, bitIndex0)))))),
% 7.57/5.49 inference(rewrite,[status(thm)],[])).
% 7.57/5.49 tff(11369,plain,
% 7.57/5.49 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB83) | (~(((~v127(constB83, bitIndex2)) <=> v130(constB83, bitIndex2)) | ((~v127(constB83, bitIndex1)) <=> v130(constB83, bitIndex1)) | ((~v127(constB83, bitIndex0)) <=> v130(constB83, bitIndex0)))))),
% 7.57/5.49 inference(quant_inst,[status(thm)],[])).
% 7.57/5.49 tff(11370,plain,
% 7.57/5.49 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB83) | (~(((~v127(constB83, bitIndex2)) <=> v130(constB83, bitIndex2)) | ((~v127(constB83, bitIndex1)) <=> v130(constB83, bitIndex1)) | ((~v127(constB83, bitIndex0)) <=> v130(constB83, bitIndex0))))),
% 7.57/5.49 inference(modus_ponens,[status(thm)],[11369, 11368])).
% 7.57/5.49 tff(11371,plain,
% 7.57/5.49 (v111(constB83) | (~(((~v127(constB83, bitIndex2)) <=> v130(constB83, bitIndex2)) | ((~v127(constB83, bitIndex1)) <=> v130(constB83, bitIndex1)) | ((~v127(constB83, bitIndex0)) <=> v130(constB83, bitIndex0))))),
% 7.57/5.49 inference(unit_resolution,[status(thm)],[11370, 566])).
% 7.57/5.49 tff(11372,plain,
% 7.57/5.49 (~(((~v127(constB83, bitIndex2)) <=> v130(constB83, bitIndex2)) | ((~v127(constB83, bitIndex1)) <=> v130(constB83, bitIndex1)) | ((~v127(constB83, bitIndex0)) <=> v130(constB83, bitIndex0)))),
% 7.57/5.49 inference(unit_resolution,[status(thm)],[11371, 11367])).
% 7.57/5.49 tff(11373,plain,
% 7.57/5.49 ((((~v127(constB83, bitIndex2)) <=> v130(constB83, bitIndex2)) | ((~v127(constB83, bitIndex1)) <=> v130(constB83, bitIndex1)) | ((~v127(constB83, bitIndex0)) <=> v130(constB83, bitIndex0))) | (~((~v127(constB83, bitIndex2)) <=> v130(constB83, bitIndex2)))),
% 7.57/5.49 inference(tautology,[status(thm)],[])).
% 7.57/5.49 tff(11374,plain,
% 7.57/5.49 (~((~v127(constB83, bitIndex2)) <=> v130(constB83, bitIndex2))),
% 7.57/5.49 inference(unit_resolution,[status(thm)],[11373, 11372])).
% 7.57/5.49 tff(11375,plain,
% 7.57/5.49 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB83) <=> (~(v90(constB83, bitIndex1) | v90(constB83, bitIndex0) | (~v90(constB83, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB83) <=> (~(v90(constB83, bitIndex1) | v90(constB83, bitIndex0) | (~v90(constB83, bitIndex2))))))),
% 7.57/5.49 inference(rewrite,[status(thm)],[])).
% 7.57/5.49 tff(11376,plain,
% 7.57/5.49 ((v123(constB83) <=> (~(v90(constB83, bitIndex0) | v90(constB83, bitIndex1) | (~v90(constB83, bitIndex2))))) <=> (v123(constB83) <=> (~(v90(constB83, bitIndex1) | v90(constB83, bitIndex0) | (~v90(constB83, bitIndex2)))))),
% 7.57/5.49 inference(rewrite,[status(thm)],[])).
% 7.57/5.49 tff(11377,plain,
% 7.57/5.49 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB83) <=> (~(v90(constB83, bitIndex0) | v90(constB83, bitIndex1) | (~v90(constB83, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB83) <=> (~(v90(constB83, bitIndex1) | v90(constB83, bitIndex0) | (~v90(constB83, bitIndex2))))))),
% 7.57/5.50 inference(monotonicity,[status(thm)],[11376])).
% 7.57/5.50 tff(11378,plain,
% 7.57/5.50 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB83) <=> (~(v90(constB83, bitIndex0) | v90(constB83, bitIndex1) | (~v90(constB83, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB83) <=> (~(v90(constB83, bitIndex1) | v90(constB83, bitIndex0) | (~v90(constB83, bitIndex2))))))),
% 7.57/5.50 inference(transitivity,[status(thm)],[11377, 11375])).
% 7.57/5.50 tff(11379,plain,
% 7.57/5.50 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB83) <=> (~(v90(constB83, bitIndex0) | v90(constB83, bitIndex1) | (~v90(constB83, bitIndex2)))))),
% 7.57/5.50 inference(quant_inst,[status(thm)],[])).
% 7.57/5.50 tff(11380,plain,
% 7.57/5.50 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB83) <=> (~(v90(constB83, bitIndex1) | v90(constB83, bitIndex0) | (~v90(constB83, bitIndex2)))))),
% 7.57/5.50 inference(modus_ponens,[status(thm)],[11379, 11378])).
% 7.57/5.50 tff(11381,plain,
% 7.57/5.50 (v123(constB83) <=> (~(v90(constB83, bitIndex1) | v90(constB83, bitIndex0) | (~v90(constB83, bitIndex2))))),
% 7.57/5.50 inference(unit_resolution,[status(thm)],[11380, 800])).
% 7.57/5.50 tff(11382,plain,
% 7.57/5.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB82, constB83)) | (v100(constB83) <=> (~((~v101(constB83)) | (~v110(constB83))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB82, constB83)) | (v100(constB83) <=> (~((~v101(constB83)) | (~v110(constB83))))))),
% 7.57/5.50 inference(rewrite,[status(thm)],[])).
% 7.57/5.50 tff(11383,plain,
% 7.57/5.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB82, constB83)) | (v100(constB83) <=> (~((~v101(constB83)) | (~v110(constB83))))))),
% 7.57/5.50 inference(quant_inst,[status(thm)],[])).
% 7.57/5.50 tff(11384,plain,
% 7.57/5.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB82, constB83)) | (v100(constB83) <=> (~((~v101(constB83)) | (~v110(constB83)))))),
% 7.57/5.50 inference(modus_ponens,[status(thm)],[11383, 11382])).
% 7.57/5.50 tff(11385,plain,
% 7.57/5.50 (v100(constB83) <=> (~((~v101(constB83)) | (~v110(constB83))))),
% 7.57/5.50 inference(unit_resolution,[status(thm)],[11384, 73, 445])).
% 7.57/5.50 tff(11386,plain,
% 7.57/5.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB82, constB83)) | (v101(constB83) <=> (~((~v1(constB83)) | (~v102(constB83))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB82, constB83)) | (v101(constB83) <=> (~((~v1(constB83)) | (~v102(constB83))))))),
% 7.57/5.50 inference(rewrite,[status(thm)],[])).
% 7.57/5.50 tff(11387,plain,
% 7.57/5.50 (((~nextState(constB82, constB83)) | (v101(constB83) <=> (~((~v102(constB83)) | (~v1(constB83)))))) <=> ((~nextState(constB82, constB83)) | (v101(constB83) <=> (~((~v1(constB83)) | (~v102(constB83))))))),
% 7.57/5.50 inference(rewrite,[status(thm)],[])).
% 7.57/5.50 tff(11388,plain,
% 7.57/5.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB82, constB83)) | (v101(constB83) <=> (~((~v102(constB83)) | (~v1(constB83))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB82, constB83)) | (v101(constB83) <=> (~((~v1(constB83)) | (~v102(constB83)))))))),
% 7.57/5.50 inference(monotonicity,[status(thm)],[11387])).
% 7.57/5.50 tff(11389,plain,
% 7.57/5.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB82, constB83)) | (v101(constB83) <=> (~((~v102(constB83)) | (~v1(constB83))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB82, constB83)) | (v101(constB83) <=> (~((~v1(constB83)) | (~v102(constB83))))))),
% 7.57/5.50 inference(transitivity,[status(thm)],[11388, 11386])).
% 7.57/5.50 tff(11390,plain,
% 7.57/5.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB82, constB83)) | (v101(constB83) <=> (~((~v102(constB83)) | (~v1(constB83))))))),
% 7.57/5.50 inference(quant_inst,[status(thm)],[])).
% 7.57/5.50 tff(11391,plain,
% 7.57/5.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB82, constB83)) | (v101(constB83) <=> (~((~v1(constB83)) | (~v102(constB83)))))),
% 7.57/5.50 inference(modus_ponens,[status(thm)],[11390, 11389])).
% 7.57/5.50 tff(11392,plain,
% 7.57/5.50 (v101(constB83) <=> (~((~v1(constB83)) | (~v102(constB83))))),
% 7.57/5.50 inference(unit_resolution,[status(thm)],[11391, 73, 465])).
% 7.57/5.50 tff(11393,plain,
% 7.57/5.50 ((~v1(constB83)) <=> (~v1(constB83))),
% 7.57/5.50 inference(rewrite,[status(thm)],[])).
% 7.57/5.50 tff(11394,axiom,(~v1(constB83)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_83')).
% 7.57/5.50 tff(11395,plain,
% 7.57/5.50 (~v1(constB83)),
% 7.57/5.50 inference(modus_ponens,[status(thm)],[11394, 11393])).
% 7.57/5.50 tff(11396,plain,
% 7.57/5.50 (((~v1(constB83)) | (~v102(constB83))) | v1(constB83)),
% 7.57/5.50 inference(tautology,[status(thm)],[])).
% 7.57/5.50 tff(11397,plain,
% 7.57/5.50 ((~v1(constB83)) | (~v102(constB83))),
% 7.57/5.50 inference(unit_resolution,[status(thm)],[11396, 11395])).
% 7.57/5.50 tff(11398,plain,
% 7.57/5.50 ((~(v101(constB83) <=> (~((~v1(constB83)) | (~v102(constB83)))))) | (~v101(constB83)) | (~((~v1(constB83)) | (~v102(constB83))))),
% 7.57/5.50 inference(tautology,[status(thm)],[])).
% 7.57/5.50 tff(11399,plain,
% 7.57/5.50 ((~(v101(constB83) <=> (~((~v1(constB83)) | (~v102(constB83)))))) | (~v101(constB83))),
% 7.57/5.50 inference(unit_resolution,[status(thm)],[11398, 11397])).
% 7.57/5.50 tff(11400,plain,
% 7.57/5.50 (~v101(constB83)),
% 7.57/5.50 inference(unit_resolution,[status(thm)],[11399, 11392])).
% 7.57/5.50 tff(11401,plain,
% 7.57/5.50 (((~v101(constB83)) | (~v110(constB83))) | v101(constB83)),
% 7.57/5.50 inference(tautology,[status(thm)],[])).
% 7.57/5.50 tff(11402,plain,
% 7.57/5.50 ((~v101(constB83)) | (~v110(constB83))),
% 7.57/5.50 inference(unit_resolution,[status(thm)],[11401, 11400])).
% 7.57/5.50 tff(11403,plain,
% 7.57/5.50 ((~(v100(constB83) <=> (~((~v101(constB83)) | (~v110(constB83)))))) | (~v100(constB83)) | (~((~v101(constB83)) | (~v110(constB83))))),
% 7.57/5.50 inference(tautology,[status(thm)],[])).
% 7.57/5.50 tff(11404,plain,
% 7.57/5.50 (~v100(constB83)),
% 7.57/5.50 inference(unit_resolution,[status(thm)],[11403, 11402, 11385])).
% 7.57/5.50 tff(11405,plain,
% 7.57/5.50 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB83) | (~nextState(constB82, constB83)) | (~(((~v90(constB83, bitIndex1)) <=> v90(constB82, bitIndex1)) | ((~v90(constB83, bitIndex2)) <=> v90(constB82, bitIndex2)) | ((~v90(constB83, bitIndex0)) <=> v90(constB82, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB83) | (~nextState(constB82, constB83)) | (~(((~v90(constB83, bitIndex1)) <=> v90(constB82, bitIndex1)) | ((~v90(constB83, bitIndex2)) <=> v90(constB82, bitIndex2)) | ((~v90(constB83, bitIndex0)) <=> v90(constB82, bitIndex0)))))),
% 7.57/5.50 inference(rewrite,[status(thm)],[])).
% 7.57/5.50 tff(11406,plain,
% 7.57/5.50 ((v100(constB83) | (~nextState(constB82, constB83)) | (~(((~v90(constB83, bitIndex2)) <=> v90(constB82, bitIndex2)) | ((~v90(constB83, bitIndex1)) <=> v90(constB82, bitIndex1)) | ((~v90(constB83, bitIndex0)) <=> v90(constB82, bitIndex0))))) <=> (v100(constB83) | (~nextState(constB82, constB83)) | (~(((~v90(constB83, bitIndex1)) <=> v90(constB82, bitIndex1)) | ((~v90(constB83, bitIndex2)) <=> v90(constB82, bitIndex2)) | ((~v90(constB83, bitIndex0)) <=> v90(constB82, bitIndex0)))))),
% 7.57/5.50 inference(rewrite,[status(thm)],[])).
% 7.57/5.50 tff(11407,plain,
% 7.57/5.50 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB83) | (~nextState(constB82, constB83)) | (~(((~v90(constB83, bitIndex2)) <=> v90(constB82, bitIndex2)) | ((~v90(constB83, bitIndex1)) <=> v90(constB82, bitIndex1)) | ((~v90(constB83, bitIndex0)) <=> v90(constB82, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB83) | (~nextState(constB82, constB83)) | (~(((~v90(constB83, bitIndex1)) <=> v90(constB82, bitIndex1)) | ((~v90(constB83, bitIndex2)) <=> v90(constB82, bitIndex2)) | ((~v90(constB83, bitIndex0)) <=> v90(constB82, bitIndex0))))))),
% 7.57/5.50 inference(monotonicity,[status(thm)],[11406])).
% 7.57/5.50 tff(11408,plain,
% 7.57/5.50 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB83) | (~nextState(constB82, constB83)) | (~(((~v90(constB83, bitIndex2)) <=> v90(constB82, bitIndex2)) | ((~v90(constB83, bitIndex1)) <=> v90(constB82, bitIndex1)) | ((~v90(constB83, bitIndex0)) <=> v90(constB82, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB83) | (~nextState(constB82, constB83)) | (~(((~v90(constB83, bitIndex1)) <=> v90(constB82, bitIndex1)) | ((~v90(constB83, bitIndex2)) <=> v90(constB82, bitIndex2)) | ((~v90(constB83, bitIndex0)) <=> v90(constB82, bitIndex0)))))),
% 7.57/5.50 inference(transitivity,[status(thm)],[11407, 11405])).
% 7.57/5.50 tff(11409,plain,
% 7.57/5.50 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB83) | (~nextState(constB82, constB83)) | (~(((~v90(constB83, bitIndex2)) <=> v90(constB82, bitIndex2)) | ((~v90(constB83, bitIndex1)) <=> v90(constB82, bitIndex1)) | ((~v90(constB83, bitIndex0)) <=> v90(constB82, bitIndex0)))))),
% 7.57/5.50 inference(quant_inst,[status(thm)],[])).
% 7.57/5.50 tff(11410,plain,
% 7.57/5.50 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB83) | (~nextState(constB82, constB83)) | (~(((~v90(constB83, bitIndex1)) <=> v90(constB82, bitIndex1)) | ((~v90(constB83, bitIndex2)) <=> v90(constB82, bitIndex2)) | ((~v90(constB83, bitIndex0)) <=> v90(constB82, bitIndex0))))),
% 7.57/5.50 inference(modus_ponens,[status(thm)],[11409, 11408])).
% 7.57/5.50 tff(11411,plain,
% 7.57/5.50 (v100(constB83) | (~(((~v90(constB83, bitIndex1)) <=> v90(constB82, bitIndex1)) | ((~v90(constB83, bitIndex2)) <=> v90(constB82, bitIndex2)) | ((~v90(constB83, bitIndex0)) <=> v90(constB82, bitIndex0))))),
% 7.57/5.50 inference(unit_resolution,[status(thm)],[11410, 73, 494])).
% 7.57/5.50 tff(11412,plain,
% 7.57/5.50 (~(((~v90(constB83, bitIndex1)) <=> v90(constB82, bitIndex1)) | ((~v90(constB83, bitIndex2)) <=> v90(constB82, bitIndex2)) | ((~v90(constB83, bitIndex0)) <=> v90(constB82, bitIndex0)))),
% 7.57/5.50 inference(unit_resolution,[status(thm)],[11411, 11404])).
% 7.57/5.50 tff(11413,plain,
% 7.57/5.50 ((((~v90(constB83, bitIndex1)) <=> v90(constB82, bitIndex1)) | ((~v90(constB83, bitIndex2)) <=> v90(constB82, bitIndex2)) | ((~v90(constB83, bitIndex0)) <=> v90(constB82, bitIndex0))) | (~((~v90(constB83, bitIndex2)) <=> v90(constB82, bitIndex2)))),
% 7.57/5.50 inference(tautology,[status(thm)],[])).
% 7.57/5.50 tff(11414,plain,
% 7.57/5.50 (~((~v90(constB83, bitIndex2)) <=> v90(constB82, bitIndex2))),
% 7.57/5.50 inference(unit_resolution,[status(thm)],[11413, 11412])).
% 7.57/5.50 tff(11415,plain,
% 7.57/5.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB81, constB82)) | (~(((~v129(constB82, bitIndex2)) <=> v127(constB81, bitIndex2)) | ((~v129(constB82, bitIndex1)) <=> v127(constB81, bitIndex1)) | ((~v129(constB82, bitIndex0)) <=> v127(constB81, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB81, constB82)) | (~(((~v129(constB82, bitIndex2)) <=> v127(constB81, bitIndex2)) | ((~v129(constB82, bitIndex1)) <=> v127(constB81, bitIndex1)) | ((~v129(constB82, bitIndex0)) <=> v127(constB81, bitIndex0)))))),
% 7.57/5.50 inference(rewrite,[status(thm)],[])).
% 7.57/5.50 tff(11416,plain,
% 7.57/5.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB81, constB82)) | (~(((~v129(constB82, bitIndex2)) <=> v127(constB81, bitIndex2)) | ((~v129(constB82, bitIndex1)) <=> v127(constB81, bitIndex1)) | ((~v129(constB82, bitIndex0)) <=> v127(constB81, bitIndex0)))))),
% 7.57/5.50 inference(quant_inst,[status(thm)],[])).
% 7.57/5.50 tff(11417,plain,
% 7.57/5.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB81, constB82)) | (~(((~v129(constB82, bitIndex2)) <=> v127(constB81, bitIndex2)) | ((~v129(constB82, bitIndex1)) <=> v127(constB81, bitIndex1)) | ((~v129(constB82, bitIndex0)) <=> v127(constB81, bitIndex0))))),
% 7.59/5.50 inference(modus_ponens,[status(thm)],[11416, 11415])).
% 7.59/5.50 tff(11418,plain,
% 7.59/5.50 (~(((~v129(constB82, bitIndex2)) <=> v127(constB81, bitIndex2)) | ((~v129(constB82, bitIndex1)) <=> v127(constB81, bitIndex1)) | ((~v129(constB82, bitIndex0)) <=> v127(constB81, bitIndex0)))),
% 7.59/5.50 inference(unit_resolution,[status(thm)],[11417, 173, 517])).
% 7.59/5.50 tff(11419,plain,
% 7.59/5.50 ((((~v129(constB82, bitIndex2)) <=> v127(constB81, bitIndex2)) | ((~v129(constB82, bitIndex1)) <=> v127(constB81, bitIndex1)) | ((~v129(constB82, bitIndex0)) <=> v127(constB81, bitIndex0))) | (~((~v129(constB82, bitIndex2)) <=> v127(constB81, bitIndex2)))),
% 7.59/5.50 inference(tautology,[status(thm)],[])).
% 7.59/5.50 tff(11420,plain,
% 7.59/5.50 (~((~v129(constB82, bitIndex2)) <=> v127(constB81, bitIndex2))),
% 7.59/5.50 inference(unit_resolution,[status(thm)],[11419, 11418])).
% 7.59/5.50 tff(11421,plain,
% 7.59/5.50 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB81) <=> v26(constB81))),
% 7.59/5.50 inference(quant_inst,[status(thm)],[])).
% 7.59/5.50 tff(11422,plain,
% 7.59/5.50 (v111(constB81) <=> v26(constB81)),
% 7.59/5.50 inference(unit_resolution,[status(thm)],[11421, 536])).
% 7.59/5.50 tff(11423,plain,
% 7.59/5.50 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB81))),
% 7.59/5.50 inference(quant_inst,[status(thm)],[])).
% 7.59/5.50 tff(11424,plain,
% 7.59/5.50 (~v26(constB81)),
% 7.59/5.50 inference(unit_resolution,[status(thm)],[11423, 548])).
% 7.59/5.50 tff(11425,plain,
% 7.59/5.50 ((~(v111(constB81) <=> v26(constB81))) | (~v111(constB81)) | v26(constB81)),
% 7.59/5.50 inference(tautology,[status(thm)],[])).
% 7.59/5.50 tff(11426,plain,
% 7.59/5.50 ((~(v111(constB81) <=> v26(constB81))) | (~v111(constB81))),
% 7.59/5.50 inference(unit_resolution,[status(thm)],[11425, 11424])).
% 7.59/5.50 tff(11427,plain,
% 7.59/5.50 (~v111(constB81)),
% 7.59/5.50 inference(unit_resolution,[status(thm)],[11426, 11422])).
% 7.59/5.50 tff(11428,plain,
% 7.59/5.50 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB81) | (~(((~v127(constB81, bitIndex2)) <=> v130(constB81, bitIndex2)) | ((~v127(constB81, bitIndex1)) <=> v130(constB81, bitIndex1)) | ((~v127(constB81, bitIndex0)) <=> v130(constB81, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB81) | (~(((~v127(constB81, bitIndex2)) <=> v130(constB81, bitIndex2)) | ((~v127(constB81, bitIndex1)) <=> v130(constB81, bitIndex1)) | ((~v127(constB81, bitIndex0)) <=> v130(constB81, bitIndex0)))))),
% 7.59/5.50 inference(rewrite,[status(thm)],[])).
% 7.59/5.50 tff(11429,plain,
% 7.59/5.50 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB81) | (~(((~v127(constB81, bitIndex2)) <=> v130(constB81, bitIndex2)) | ((~v127(constB81, bitIndex1)) <=> v130(constB81, bitIndex1)) | ((~v127(constB81, bitIndex0)) <=> v130(constB81, bitIndex0)))))),
% 7.59/5.50 inference(quant_inst,[status(thm)],[])).
% 7.59/5.50 tff(11430,plain,
% 7.59/5.50 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB81) | (~(((~v127(constB81, bitIndex2)) <=> v130(constB81, bitIndex2)) | ((~v127(constB81, bitIndex1)) <=> v130(constB81, bitIndex1)) | ((~v127(constB81, bitIndex0)) <=> v130(constB81, bitIndex0))))),
% 7.59/5.50 inference(modus_ponens,[status(thm)],[11429, 11428])).
% 7.59/5.50 tff(11431,plain,
% 7.59/5.50 (v111(constB81) | (~(((~v127(constB81, bitIndex2)) <=> v130(constB81, bitIndex2)) | ((~v127(constB81, bitIndex1)) <=> v130(constB81, bitIndex1)) | ((~v127(constB81, bitIndex0)) <=> v130(constB81, bitIndex0))))),
% 7.59/5.50 inference(unit_resolution,[status(thm)],[11430, 566])).
% 7.59/5.50 tff(11432,plain,
% 7.59/5.50 (~(((~v127(constB81, bitIndex2)) <=> v130(constB81, bitIndex2)) | ((~v127(constB81, bitIndex1)) <=> v130(constB81, bitIndex1)) | ((~v127(constB81, bitIndex0)) <=> v130(constB81, bitIndex0)))),
% 7.59/5.50 inference(unit_resolution,[status(thm)],[11431, 11427])).
% 7.59/5.50 tff(11433,plain,
% 7.59/5.50 ((((~v127(constB81, bitIndex2)) <=> v130(constB81, bitIndex2)) | ((~v127(constB81, bitIndex1)) <=> v130(constB81, bitIndex1)) | ((~v127(constB81, bitIndex0)) <=> v130(constB81, bitIndex0))) | (~((~v127(constB81, bitIndex2)) <=> v130(constB81, bitIndex2)))),
% 7.59/5.50 inference(tautology,[status(thm)],[])).
% 7.59/5.50 tff(11434,plain,
% 7.59/5.50 (~((~v127(constB81, bitIndex2)) <=> v130(constB81, bitIndex2))),
% 7.59/5.50 inference(unit_resolution,[status(thm)],[11433, 11432])).
% 7.59/5.50 tff(11435,plain,
% 7.59/5.50 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB81) <=> (~(v90(constB81, bitIndex2) | (~v90(constB81, bitIndex1)) | (~v90(constB81, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB81) <=> (~(v90(constB81, bitIndex2) | (~v90(constB81, bitIndex1)) | (~v90(constB81, bitIndex0))))))),
% 7.59/5.50 inference(rewrite,[status(thm)],[])).
% 7.59/5.50 tff(11436,plain,
% 7.59/5.50 ((v122(constB81) <=> (~(v90(constB81, bitIndex2) | (~v90(constB81, bitIndex0)) | (~v90(constB81, bitIndex1))))) <=> (v122(constB81) <=> (~(v90(constB81, bitIndex2) | (~v90(constB81, bitIndex1)) | (~v90(constB81, bitIndex0)))))),
% 7.59/5.50 inference(rewrite,[status(thm)],[])).
% 7.59/5.50 tff(11437,plain,
% 7.59/5.50 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB81) <=> (~(v90(constB81, bitIndex2) | (~v90(constB81, bitIndex0)) | (~v90(constB81, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB81) <=> (~(v90(constB81, bitIndex2) | (~v90(constB81, bitIndex1)) | (~v90(constB81, bitIndex0))))))),
% 7.59/5.50 inference(monotonicity,[status(thm)],[11436])).
% 7.59/5.50 tff(11438,plain,
% 7.59/5.50 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB81) <=> (~(v90(constB81, bitIndex2) | (~v90(constB81, bitIndex0)) | (~v90(constB81, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB81) <=> (~(v90(constB81, bitIndex2) | (~v90(constB81, bitIndex1)) | (~v90(constB81, bitIndex0))))))),
% 7.59/5.50 inference(transitivity,[status(thm)],[11437, 11435])).
% 7.59/5.50 tff(11439,plain,
% 7.59/5.50 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB81) <=> (~(v90(constB81, bitIndex2) | (~v90(constB81, bitIndex0)) | (~v90(constB81, bitIndex1)))))),
% 7.59/5.50 inference(quant_inst,[status(thm)],[])).
% 7.59/5.50 tff(11440,plain,
% 7.59/5.50 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB81) <=> (~(v90(constB81, bitIndex2) | (~v90(constB81, bitIndex1)) | (~v90(constB81, bitIndex0)))))),
% 7.59/5.50 inference(modus_ponens,[status(thm)],[11439, 11438])).
% 7.59/5.50 tff(11441,plain,
% 7.59/5.50 (v122(constB81) <=> (~(v90(constB81, bitIndex2) | (~v90(constB81, bitIndex1)) | (~v90(constB81, bitIndex0))))),
% 7.59/5.50 inference(unit_resolution,[status(thm)],[11440, 879])).
% 7.59/5.50 tff(11442,plain,
% 7.59/5.50 ((~(v90(constB81, bitIndex2) | (~v90(constB81, bitIndex1)) | (~v90(constB81, bitIndex0)))) | v90(constB81, bitIndex2) | (~v90(constB81, bitIndex1)) | (~v90(constB81, bitIndex0))),
% 7.59/5.50 inference(tautology,[status(thm)],[])).
% 7.59/5.50 tff(11443,plain,
% 7.59/5.50 (~(v90(constB81, bitIndex2) | (~v90(constB81, bitIndex1)) | (~v90(constB81, bitIndex0)))),
% 7.59/5.50 inference(unit_resolution,[status(thm)],[11442, 9822, 9800, 9778])).
% 7.59/5.50 tff(11444,plain,
% 7.59/5.50 ((~(v122(constB81) <=> (~(v90(constB81, bitIndex2) | (~v90(constB81, bitIndex1)) | (~v90(constB81, bitIndex0)))))) | v122(constB81) | (v90(constB81, bitIndex2) | (~v90(constB81, bitIndex1)) | (~v90(constB81, bitIndex0)))),
% 7.59/5.50 inference(tautology,[status(thm)],[])).
% 7.59/5.50 tff(11445,plain,
% 7.59/5.50 (v122(constB81)),
% 7.59/5.50 inference(unit_resolution,[status(thm)],[11444, 11443, 11441])).
% 7.59/5.50 tff(11446,plain,
% 7.59/5.50 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB81)) | (~(v130(constB81, bitIndex1) | v130(constB81, bitIndex0) | (~v130(constB81, bitIndex2)))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | (~v122(constB81)) | (~(v130(constB81, bitIndex1) | v130(constB81, bitIndex0) | (~v130(constB81, bitIndex2)))))),
% 7.59/5.50 inference(rewrite,[status(thm)],[])).
% 7.59/5.50 tff(11447,plain,
% 7.59/5.50 (((~v122(constB81)) | (~(v130(constB81, bitIndex0) | v130(constB81, bitIndex1) | (~v130(constB81, bitIndex2))))) <=> ((~v122(constB81)) | (~(v130(constB81, bitIndex1) | v130(constB81, bitIndex0) | (~v130(constB81, bitIndex2)))))),
% 7.59/5.50 inference(rewrite,[status(thm)],[])).
% 7.59/5.50 tff(11448,plain,
% 7.59/5.50 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB81)) | (~(v130(constB81, bitIndex0) | v130(constB81, bitIndex1) | (~v130(constB81, bitIndex2)))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB81)) | (~(v130(constB81, bitIndex1) | v130(constB81, bitIndex0) | (~v130(constB81, bitIndex2))))))),
% 7.59/5.50 inference(monotonicity,[status(thm)],[11447])).
% 7.59/5.50 tff(11449,plain,
% 7.59/5.50 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB81)) | (~(v130(constB81, bitIndex0) | v130(constB81, bitIndex1) | (~v130(constB81, bitIndex2)))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | (~v122(constB81)) | (~(v130(constB81, bitIndex1) | v130(constB81, bitIndex0) | (~v130(constB81, bitIndex2)))))),
% 7.59/5.50 inference(transitivity,[status(thm)],[11448, 11446])).
% 7.59/5.50 tff(11450,plain,
% 7.59/5.50 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB81)) | (~(v130(constB81, bitIndex0) | v130(constB81, bitIndex1) | (~v130(constB81, bitIndex2)))))),
% 7.59/5.50 inference(quant_inst,[status(thm)],[])).
% 7.59/5.50 tff(11451,plain,
% 7.59/5.50 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | (~v122(constB81)) | (~(v130(constB81, bitIndex1) | v130(constB81, bitIndex0) | (~v130(constB81, bitIndex2))))),
% 7.59/5.50 inference(modus_ponens,[status(thm)],[11450, 11449])).
% 7.59/5.50 tff(11452,plain,
% 7.59/5.50 ((~v122(constB81)) | (~(v130(constB81, bitIndex1) | v130(constB81, bitIndex0) | (~v130(constB81, bitIndex2))))),
% 7.59/5.50 inference(unit_resolution,[status(thm)],[11451, 4223])).
% 7.59/5.50 tff(11453,plain,
% 7.59/5.50 (~(v130(constB81, bitIndex1) | v130(constB81, bitIndex0) | (~v130(constB81, bitIndex2)))),
% 7.59/5.50 inference(unit_resolution,[status(thm)],[11452, 11445])).
% 7.59/5.50 tff(11454,plain,
% 7.59/5.50 ((v130(constB81, bitIndex1) | v130(constB81, bitIndex0) | (~v130(constB81, bitIndex2))) | v130(constB81, bitIndex2)),
% 7.59/5.50 inference(tautology,[status(thm)],[])).
% 7.59/5.50 tff(11455,plain,
% 7.59/5.50 (v130(constB81, bitIndex2)),
% 7.59/5.50 inference(unit_resolution,[status(thm)],[11454, 11453])).
% 7.59/5.50 tff(11456,plain,
% 7.59/5.50 (((~v127(constB81, bitIndex2)) <=> v130(constB81, bitIndex2)) | v127(constB81, bitIndex2) | (~v130(constB81, bitIndex2))),
% 7.59/5.50 inference(tautology,[status(thm)],[])).
% 7.59/5.50 tff(11457,plain,
% 7.59/5.50 (v127(constB81, bitIndex2)),
% 7.59/5.50 inference(unit_resolution,[status(thm)],[11456, 11455, 11434])).
% 7.59/5.50 tff(11458,plain,
% 7.59/5.50 (((~v129(constB82, bitIndex2)) <=> v127(constB81, bitIndex2)) | v129(constB82, bitIndex2) | (~v127(constB81, bitIndex2))),
% 7.59/5.50 inference(tautology,[status(thm)],[])).
% 7.59/5.50 tff(11459,plain,
% 7.59/5.50 (v129(constB82, bitIndex2)),
% 7.59/5.50 inference(unit_resolution,[status(thm)],[11458, 11457, 11420])).
% 7.59/5.50 tff(11460,plain,
% 7.59/5.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB81, constB82)) | (v100(constB82) <=> (~((~v101(constB82)) | (~v110(constB82))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB81, constB82)) | (v100(constB82) <=> (~((~v101(constB82)) | (~v110(constB82))))))),
% 7.59/5.50 inference(rewrite,[status(thm)],[])).
% 7.59/5.50 tff(11461,plain,
% 7.59/5.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB81, constB82)) | (v100(constB82) <=> (~((~v101(constB82)) | (~v110(constB82))))))),
% 7.59/5.50 inference(quant_inst,[status(thm)],[])).
% 7.59/5.50 tff(11462,plain,
% 7.59/5.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB81, constB82)) | (v100(constB82) <=> (~((~v101(constB82)) | (~v110(constB82)))))),
% 7.59/5.50 inference(modus_ponens,[status(thm)],[11461, 11460])).
% 7.59/5.50 tff(11463,plain,
% 7.59/5.50 (v100(constB82) <=> (~((~v101(constB82)) | (~v110(constB82))))),
% 7.59/5.50 inference(unit_resolution,[status(thm)],[11462, 173, 445])).
% 7.59/5.50 tff(11464,plain,
% 7.59/5.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB81, constB82)) | (v101(constB82) <=> (~((~v1(constB82)) | (~v102(constB82))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB81, constB82)) | (v101(constB82) <=> (~((~v1(constB82)) | (~v102(constB82))))))),
% 7.59/5.50 inference(rewrite,[status(thm)],[])).
% 7.59/5.50 tff(11465,plain,
% 7.59/5.50 (((~nextState(constB81, constB82)) | (v101(constB82) <=> (~((~v102(constB82)) | (~v1(constB82)))))) <=> ((~nextState(constB81, constB82)) | (v101(constB82) <=> (~((~v1(constB82)) | (~v102(constB82))))))),
% 7.59/5.50 inference(rewrite,[status(thm)],[])).
% 7.59/5.50 tff(11466,plain,
% 7.59/5.50 (((~![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) <=> (~((~v1(constB82)) | (~v102(constB82)))))))),
% 7.59/5.50 inference(monotonicity,[status(thm)],[11465])).
% 7.59/5.50 tff(11467,plain,
% 7.59/5.50 (((~![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) <=> (~((~v1(constB82)) | (~v102(constB82))))))),
% 7.59/5.50 inference(transitivity,[status(thm)],[11466, 11464])).
% 7.59/5.50 tff(11468,plain,
% 7.59/5.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB81, constB82)) | (v101(constB82) <=> (~((~v102(constB82)) | (~v1(constB82))))))),
% 7.59/5.50 inference(quant_inst,[status(thm)],[])).
% 7.59/5.50 tff(11469,plain,
% 7.59/5.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB81, constB82)) | (v101(constB82) <=> (~((~v1(constB82)) | (~v102(constB82)))))),
% 7.59/5.50 inference(modus_ponens,[status(thm)],[11468, 11467])).
% 7.59/5.50 tff(11470,plain,
% 7.59/5.50 (v101(constB82) <=> (~((~v1(constB82)) | (~v102(constB82))))),
% 7.59/5.50 inference(unit_resolution,[status(thm)],[11469, 173, 465])).
% 7.59/5.50 tff(11471,plain,
% 7.59/5.50 (((~![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)))),
% 7.59/5.51 inference(rewrite,[status(thm)],[])).
% 7.59/5.51 tff(11472,plain,
% 7.59/5.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB81, constB82)) | ((~v102(constB82)) <=> v104(constB82)))),
% 7.59/5.51 inference(quant_inst,[status(thm)],[])).
% 7.59/5.51 tff(11473,plain,
% 7.59/5.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB81, constB82)) | ((~v102(constB82)) <=> v104(constB82))),
% 7.59/5.51 inference(modus_ponens,[status(thm)],[11472, 11471])).
% 7.59/5.51 tff(11474,plain,
% 7.59/5.51 ((~v102(constB82)) <=> v104(constB82)),
% 7.59/5.51 inference(unit_resolution,[status(thm)],[11473, 173, 3244])).
% 7.59/5.51 tff(11475,plain,
% 7.59/5.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB81, constB82)) | (v104(constB82) <=> v1(constB81)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB81, constB82)) | (v104(constB82) <=> v1(constB81)))),
% 7.59/5.51 inference(rewrite,[status(thm)],[])).
% 7.59/5.51 tff(11476,plain,
% 7.59/5.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB81, constB82)) | (v104(constB82) <=> v1(constB81)))),
% 7.59/5.51 inference(quant_inst,[status(thm)],[])).
% 7.59/5.51 tff(11477,plain,
% 7.59/5.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB81, constB82)) | (v104(constB82) <=> v1(constB81))),
% 7.59/5.51 inference(modus_ponens,[status(thm)],[11476, 11475])).
% 7.59/5.51 tff(11478,plain,
% 7.59/5.51 (v104(constB82) <=> v1(constB81)),
% 7.59/5.51 inference(unit_resolution,[status(thm)],[11477, 173, 3258])).
% 7.59/5.51 tff(11479,plain,
% 7.59/5.51 ((~(v104(constB82) <=> v1(constB81))) | (~v104(constB82)) | v1(constB81)),
% 7.59/5.51 inference(tautology,[status(thm)],[])).
% 7.59/5.51 tff(11480,plain,
% 7.59/5.51 ((~(v104(constB82) <=> v1(constB81))) | (~v104(constB82))),
% 7.59/5.51 inference(unit_resolution,[status(thm)],[11479, 316])).
% 7.59/5.51 tff(11481,plain,
% 7.59/5.51 (~v104(constB82)),
% 7.59/5.51 inference(unit_resolution,[status(thm)],[11480, 11478])).
% 7.59/5.51 tff(11482,plain,
% 7.59/5.51 ((~((~v102(constB82)) <=> v104(constB82))) | v102(constB82) | v104(constB82)),
% 7.59/5.51 inference(tautology,[status(thm)],[])).
% 7.59/5.51 tff(11483,plain,
% 7.59/5.51 (v102(constB82)),
% 7.59/5.51 inference(unit_resolution,[status(thm)],[11482, 11481, 11474])).
% 7.59/5.51 tff(11484,plain,
% 7.59/5.51 ((~((~v1(constB82)) | (~v102(constB82)))) | (~v1(constB82)) | (~v102(constB82))),
% 7.59/5.51 inference(tautology,[status(thm)],[])).
% 7.59/5.51 tff(11485,plain,
% 7.59/5.51 ((~((~v1(constB82)) | (~v102(constB82)))) | (~v102(constB82))),
% 7.59/5.51 inference(unit_resolution,[status(thm)],[11484, 134])).
% 7.59/5.51 tff(11486,plain,
% 7.59/5.51 (~((~v1(constB82)) | (~v102(constB82)))),
% 7.59/5.51 inference(unit_resolution,[status(thm)],[11485, 11483])).
% 7.59/5.51 tff(11487,plain,
% 7.59/5.51 ((~(v101(constB82) <=> (~((~v1(constB82)) | (~v102(constB82)))))) | v101(constB82) | ((~v1(constB82)) | (~v102(constB82)))),
% 7.59/5.51 inference(tautology,[status(thm)],[])).
% 7.59/5.51 tff(11488,plain,
% 7.59/5.51 (v101(constB82)),
% 7.59/5.51 inference(unit_resolution,[status(thm)],[11487, 11486, 11470])).
% 7.59/5.51 tff(11489,plain,
% 7.59/5.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB81, constB82)) | (v110(constB82) <=> v108(constB81)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB81, constB82)) | (v110(constB82) <=> v108(constB81)))),
% 7.59/5.51 inference(rewrite,[status(thm)],[])).
% 7.59/5.51 tff(11490,plain,
% 7.59/5.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB81, constB82)) | (v110(constB82) <=> v108(constB81)))),
% 7.59/5.51 inference(quant_inst,[status(thm)],[])).
% 7.59/5.51 tff(11491,plain,
% 7.59/5.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB81, constB82)) | (v110(constB82) <=> v108(constB81))),
% 7.59/5.51 inference(modus_ponens,[status(thm)],[11490, 11489])).
% 7.59/5.51 tff(11492,plain,
% 7.59/5.51 (v110(constB82) <=> v108(constB81)),
% 7.59/5.51 inference(unit_resolution,[status(thm)],[11491, 173, 3285])).
% 7.59/5.51 tff(11493,plain,
% 7.59/5.51 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB81) <=> (v111(constB81) | v112(constB81)))),
% 7.59/5.51 inference(quant_inst,[status(thm)],[])).
% 7.59/5.51 tff(11494,plain,
% 7.59/5.51 (v108(constB81) <=> (v111(constB81) | v112(constB81))),
% 7.59/5.51 inference(unit_resolution,[status(thm)],[11493, 3296])).
% 7.59/5.51 tff(11495,plain,
% 7.59/5.51 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB81) <=> (~((~v113(constB81)) | (~v126(constB81)))))),
% 7.59/5.51 inference(quant_inst,[status(thm)],[])).
% 7.59/5.51 tff(11496,plain,
% 7.59/5.51 (v112(constB81) <=> (~((~v113(constB81)) | (~v126(constB81))))),
% 7.59/5.51 inference(unit_resolution,[status(thm)],[11495, 3308])).
% 7.59/5.51 tff(11497,plain,
% 7.59/5.51 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB81) <=> (v114(constB81) | v125(constB81)))),
% 7.59/5.51 inference(quant_inst,[status(thm)],[])).
% 7.59/5.51 tff(11498,plain,
% 7.59/5.51 (v113(constB81) <=> (v114(constB81) | v125(constB81))),
% 7.59/5.51 inference(unit_resolution,[status(thm)],[11497, 3317])).
% 7.59/5.51 tff(11499,plain,
% 7.59/5.51 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB81) <=> (v115(constB81) | v124(constB81)))),
% 7.59/5.51 inference(quant_inst,[status(thm)],[])).
% 7.59/5.51 tff(11500,plain,
% 7.59/5.51 (v114(constB81) <=> (v115(constB81) | v124(constB81))),
% 7.59/5.51 inference(unit_resolution,[status(thm)],[11499, 3326])).
% 7.59/5.51 tff(11501,plain,
% 7.59/5.51 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB81) <=> (v116(constB81) | v123(constB81)))),
% 7.59/5.51 inference(quant_inst,[status(thm)],[])).
% 7.59/5.51 tff(11502,plain,
% 7.59/5.51 (v115(constB81) <=> (v116(constB81) | v123(constB81))),
% 7.59/5.51 inference(unit_resolution,[status(thm)],[11501, 3335])).
% 7.59/5.51 tff(11503,plain,
% 7.59/5.51 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB81) <=> (v117(constB81) | v122(constB81)))),
% 7.59/5.51 inference(quant_inst,[status(thm)],[])).
% 7.59/5.51 tff(11504,plain,
% 7.59/5.51 (v116(constB81) <=> (v117(constB81) | v122(constB81))),
% 7.59/5.51 inference(unit_resolution,[status(thm)],[11503, 3344])).
% 7.59/5.51 tff(11505,plain,
% 7.59/5.51 ((v117(constB81) | v122(constB81)) | (~v122(constB81))),
% 7.59/5.51 inference(tautology,[status(thm)],[])).
% 7.59/5.51 tff(11506,plain,
% 7.59/5.51 (v117(constB81) | v122(constB81)),
% 7.59/5.51 inference(unit_resolution,[status(thm)],[11505, 11445])).
% 7.59/5.51 tff(11507,plain,
% 7.59/5.51 ((~(v116(constB81) <=> (v117(constB81) | v122(constB81)))) | v116(constB81) | (~(v117(constB81) | v122(constB81)))),
% 7.59/5.51 inference(tautology,[status(thm)],[])).
% 7.59/5.51 tff(11508,plain,
% 7.59/5.51 (v116(constB81)),
% 7.59/5.51 inference(unit_resolution,[status(thm)],[11507, 11506, 11504])).
% 7.59/5.51 tff(11509,plain,
% 7.59/5.51 ((v116(constB81) | v123(constB81)) | (~v116(constB81))),
% 7.59/5.51 inference(tautology,[status(thm)],[])).
% 7.59/5.51 tff(11510,plain,
% 7.59/5.51 (v116(constB81) | v123(constB81)),
% 7.59/5.51 inference(unit_resolution,[status(thm)],[11509, 11508])).
% 7.59/5.51 tff(11511,plain,
% 7.59/5.51 ((~(v115(constB81) <=> (v116(constB81) | v123(constB81)))) | v115(constB81) | (~(v116(constB81) | v123(constB81)))),
% 7.59/5.51 inference(tautology,[status(thm)],[])).
% 7.59/5.51 tff(11512,plain,
% 7.59/5.51 (v115(constB81)),
% 7.59/5.51 inference(unit_resolution,[status(thm)],[11511, 11510, 11502])).
% 7.59/5.51 tff(11513,plain,
% 7.59/5.51 ((v115(constB81) | v124(constB81)) | (~v115(constB81))),
% 7.59/5.51 inference(tautology,[status(thm)],[])).
% 7.59/5.51 tff(11514,plain,
% 7.59/5.51 (v115(constB81) | v124(constB81)),
% 7.59/5.51 inference(unit_resolution,[status(thm)],[11513, 11512])).
% 7.59/5.51 tff(11515,plain,
% 7.59/5.51 ((~(v114(constB81) <=> (v115(constB81) | v124(constB81)))) | v114(constB81) | (~(v115(constB81) | v124(constB81)))),
% 7.59/5.51 inference(tautology,[status(thm)],[])).
% 7.59/5.51 tff(11516,plain,
% 7.59/5.51 (v114(constB81)),
% 7.59/5.51 inference(unit_resolution,[status(thm)],[11515, 11514, 11500])).
% 7.59/5.51 tff(11517,plain,
% 7.59/5.51 ((v114(constB81) | v125(constB81)) | (~v114(constB81))),
% 7.59/5.51 inference(tautology,[status(thm)],[])).
% 7.59/5.51 tff(11518,plain,
% 7.59/5.51 (v114(constB81) | v125(constB81)),
% 7.59/5.51 inference(unit_resolution,[status(thm)],[11517, 11516])).
% 7.59/5.51 tff(11519,plain,
% 7.59/5.51 ((~(v113(constB81) <=> (v114(constB81) | v125(constB81)))) | v113(constB81) | (~(v114(constB81) | v125(constB81)))),
% 7.59/5.51 inference(tautology,[status(thm)],[])).
% 7.59/5.51 tff(11520,plain,
% 7.59/5.51 (v113(constB81)),
% 7.59/5.51 inference(unit_resolution,[status(thm)],[11519, 11518, 11498])).
% 7.59/5.51 tff(11521,plain,
% 7.59/5.51 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB81)) <=> v111(constB81))),
% 7.59/5.51 inference(quant_inst,[status(thm)],[])).
% 7.59/5.51 tff(11522,plain,
% 7.59/5.51 ((~v126(constB81)) <=> v111(constB81)),
% 7.59/5.51 inference(unit_resolution,[status(thm)],[11521, 3396])).
% 7.59/5.51 tff(11523,plain,
% 7.59/5.51 ((~((~v126(constB81)) <=> v111(constB81))) | v126(constB81) | v111(constB81)),
% 7.59/5.51 inference(tautology,[status(thm)],[])).
% 7.59/5.51 tff(11524,plain,
% 7.59/5.51 ((~((~v126(constB81)) <=> v111(constB81))) | v126(constB81)),
% 7.59/5.51 inference(unit_resolution,[status(thm)],[11523, 11427])).
% 7.59/5.51 tff(11525,plain,
% 7.59/5.51 (v126(constB81)),
% 7.59/5.51 inference(unit_resolution,[status(thm)],[11524, 11522])).
% 7.59/5.51 tff(11526,plain,
% 7.59/5.51 ((~((~v113(constB81)) | (~v126(constB81)))) | (~v113(constB81)) | (~v126(constB81))),
% 7.59/5.51 inference(tautology,[status(thm)],[])).
% 7.59/5.51 tff(11527,plain,
% 7.59/5.51 ((~((~v113(constB81)) | (~v126(constB81)))) | (~v113(constB81))),
% 7.59/5.51 inference(unit_resolution,[status(thm)],[11526, 11525])).
% 7.59/5.51 tff(11528,plain,
% 7.59/5.51 (~((~v113(constB81)) | (~v126(constB81)))),
% 7.59/5.51 inference(unit_resolution,[status(thm)],[11527, 11520])).
% 7.59/5.51 tff(11529,plain,
% 7.59/5.51 ((~(v112(constB81) <=> (~((~v113(constB81)) | (~v126(constB81)))))) | v112(constB81) | ((~v113(constB81)) | (~v126(constB81)))),
% 7.59/5.51 inference(tautology,[status(thm)],[])).
% 7.59/5.51 tff(11530,plain,
% 7.59/5.51 (v112(constB81)),
% 7.59/5.51 inference(unit_resolution,[status(thm)],[11529, 11528, 11496])).
% 7.59/5.51 tff(11531,plain,
% 7.59/5.51 ((v111(constB81) | v112(constB81)) | (~v112(constB81))),
% 7.59/5.51 inference(tautology,[status(thm)],[])).
% 7.59/5.51 tff(11532,plain,
% 7.59/5.51 (v111(constB81) | v112(constB81)),
% 7.59/5.51 inference(unit_resolution,[status(thm)],[11531, 11530])).
% 7.59/5.51 tff(11533,plain,
% 7.59/5.51 ((~(v108(constB81) <=> (v111(constB81) | v112(constB81)))) | v108(constB81) | (~(v111(constB81) | v112(constB81)))),
% 7.59/5.51 inference(tautology,[status(thm)],[])).
% 7.59/5.51 tff(11534,plain,
% 7.59/5.51 (v108(constB81)),
% 7.59/5.51 inference(unit_resolution,[status(thm)],[11533, 11532, 11494])).
% 7.59/5.51 tff(11535,plain,
% 7.59/5.51 ((~(v110(constB82) <=> v108(constB81))) | v110(constB82) | (~v108(constB81))),
% 7.59/5.51 inference(tautology,[status(thm)],[])).
% 7.59/5.51 tff(11536,plain,
% 7.59/5.51 (v110(constB82)),
% 7.59/5.51 inference(unit_resolution,[status(thm)],[11535, 11534, 11492])).
% 7.59/5.51 tff(11537,plain,
% 7.59/5.51 ((~((~v101(constB82)) | (~v110(constB82)))) | (~v101(constB82)) | (~v110(constB82))),
% 7.59/5.51 inference(tautology,[status(thm)],[])).
% 7.59/5.51 tff(11538,plain,
% 7.59/5.51 (~((~v101(constB82)) | (~v110(constB82)))),
% 7.59/5.51 inference(unit_resolution,[status(thm)],[11537, 11536, 11488])).
% 7.59/5.51 tff(11539,plain,
% 7.59/5.51 ((~(v100(constB82) <=> (~((~v101(constB82)) | (~v110(constB82)))))) | v100(constB82) | ((~v101(constB82)) | (~v110(constB82)))),
% 7.59/5.51 inference(tautology,[status(thm)],[])).
% 7.59/5.51 tff(11540,plain,
% 7.59/5.51 (v100(constB82)),
% 7.59/5.51 inference(unit_resolution,[status(thm)],[11539, 11538, 11463])).
% 7.59/5.51 tff(11541,plain,
% 7.59/5.51 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB82)) | (~(((~v90(constB82, bitIndex0)) <=> v129(constB82, bitIndex0)) | ((~v90(constB82, bitIndex2)) <=> v129(constB82, bitIndex2)) | ((~v90(constB82, bitIndex1)) <=> v129(constB82, bitIndex1)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB82)) | (~(((~v90(constB82, bitIndex0)) <=> v129(constB82, bitIndex0)) | ((~v90(constB82, bitIndex2)) <=> v129(constB82, bitIndex2)) | ((~v90(constB82, bitIndex1)) <=> v129(constB82, bitIndex1)))))),
% 7.59/5.51 inference(rewrite,[status(thm)],[])).
% 7.59/5.51 tff(11542,plain,
% 7.59/5.51 (((~v100(constB82)) | (~(((~v90(constB82, bitIndex2)) <=> v129(constB82, bitIndex2)) | ((~v90(constB82, bitIndex1)) <=> v129(constB82, bitIndex1)) | ((~v90(constB82, bitIndex0)) <=> v129(constB82, bitIndex0))))) <=> ((~v100(constB82)) | (~(((~v90(constB82, bitIndex0)) <=> v129(constB82, bitIndex0)) | ((~v90(constB82, bitIndex2)) <=> v129(constB82, bitIndex2)) | ((~v90(constB82, bitIndex1)) <=> v129(constB82, bitIndex1)))))),
% 7.59/5.51 inference(rewrite,[status(thm)],[])).
% 7.59/5.51 tff(11543,plain,
% 7.59/5.51 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB82)) | (~(((~v90(constB82, bitIndex2)) <=> v129(constB82, bitIndex2)) | ((~v90(constB82, bitIndex1)) <=> v129(constB82, bitIndex1)) | ((~v90(constB82, bitIndex0)) <=> v129(constB82, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB82)) | (~(((~v90(constB82, bitIndex0)) <=> v129(constB82, bitIndex0)) | ((~v90(constB82, bitIndex2)) <=> v129(constB82, bitIndex2)) | ((~v90(constB82, bitIndex1)) <=> v129(constB82, bitIndex1))))))),
% 7.59/5.51 inference(monotonicity,[status(thm)],[11542])).
% 7.59/5.51 tff(11544,plain,
% 7.59/5.51 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB82)) | (~(((~v90(constB82, bitIndex2)) <=> v129(constB82, bitIndex2)) | ((~v90(constB82, bitIndex1)) <=> v129(constB82, bitIndex1)) | ((~v90(constB82, bitIndex0)) <=> v129(constB82, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB82)) | (~(((~v90(constB82, bitIndex0)) <=> v129(constB82, bitIndex0)) | ((~v90(constB82, bitIndex2)) <=> v129(constB82, bitIndex2)) | ((~v90(constB82, bitIndex1)) <=> v129(constB82, bitIndex1)))))),
% 7.59/5.51 inference(transitivity,[status(thm)],[11543, 11541])).
% 7.59/5.51 tff(11545,plain,
% 7.59/5.51 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB82)) | (~(((~v90(constB82, bitIndex2)) <=> v129(constB82, bitIndex2)) | ((~v90(constB82, bitIndex1)) <=> v129(constB82, bitIndex1)) | ((~v90(constB82, bitIndex0)) <=> v129(constB82, bitIndex0)))))),
% 7.59/5.51 inference(quant_inst,[status(thm)],[])).
% 7.59/5.51 tff(11546,plain,
% 7.59/5.51 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB82)) | (~(((~v90(constB82, bitIndex0)) <=> v129(constB82, bitIndex0)) | ((~v90(constB82, bitIndex2)) <=> v129(constB82, bitIndex2)) | ((~v90(constB82, bitIndex1)) <=> v129(constB82, bitIndex1))))),
% 7.59/5.51 inference(modus_ponens,[status(thm)],[11545, 11544])).
% 7.59/5.51 tff(11547,plain,
% 7.59/5.51 ((~v100(constB82)) | (~(((~v90(constB82, bitIndex0)) <=> v129(constB82, bitIndex0)) | ((~v90(constB82, bitIndex2)) <=> v129(constB82, bitIndex2)) | ((~v90(constB82, bitIndex1)) <=> v129(constB82, bitIndex1))))),
% 7.59/5.51 inference(unit_resolution,[status(thm)],[11546, 3429])).
% 7.59/5.51 tff(11548,plain,
% 7.59/5.51 (~(((~v90(constB82, bitIndex0)) <=> v129(constB82, bitIndex0)) | ((~v90(constB82, bitIndex2)) <=> v129(constB82, bitIndex2)) | ((~v90(constB82, bitIndex1)) <=> v129(constB82, bitIndex1)))),
% 7.59/5.51 inference(unit_resolution,[status(thm)],[11547, 11540])).
% 7.59/5.51 tff(11549,plain,
% 7.59/5.51 ((((~v90(constB82, bitIndex0)) <=> v129(constB82, bitIndex0)) | ((~v90(constB82, bitIndex2)) <=> v129(constB82, bitIndex2)) | ((~v90(constB82, bitIndex1)) <=> v129(constB82, bitIndex1))) | (~((~v90(constB82, bitIndex2)) <=> v129(constB82, bitIndex2)))),
% 7.59/5.51 inference(tautology,[status(thm)],[])).
% 7.59/5.51 tff(11550,plain,
% 7.59/5.51 (~((~v90(constB82, bitIndex2)) <=> v129(constB82, bitIndex2))),
% 7.59/5.51 inference(unit_resolution,[status(thm)],[11549, 11548])).
% 7.59/5.51 tff(11551,plain,
% 7.59/5.51 (((~v90(constB82, bitIndex2)) <=> v129(constB82, bitIndex2)) | v90(constB82, bitIndex2) | (~v129(constB82, bitIndex2))),
% 7.59/5.51 inference(tautology,[status(thm)],[])).
% 7.59/5.51 tff(11552,plain,
% 7.59/5.51 (v90(constB82, bitIndex2)),
% 7.59/5.51 inference(unit_resolution,[status(thm)],[11551, 11550, 11459])).
% 7.59/5.51 tff(11553,plain,
% 7.59/5.51 (((~v90(constB83, bitIndex2)) <=> v90(constB82, bitIndex2)) | v90(constB83, bitIndex2) | (~v90(constB82, bitIndex2))),
% 7.59/5.51 inference(tautology,[status(thm)],[])).
% 7.59/5.51 tff(11554,plain,
% 7.59/5.51 (v90(constB83, bitIndex2)),
% 7.59/5.51 inference(unit_resolution,[status(thm)],[11553, 11552, 11414])).
% 7.59/5.51 tff(11555,plain,
% 7.59/5.51 ((((~v90(constB83, bitIndex1)) <=> v90(constB82, bitIndex1)) | ((~v90(constB83, bitIndex2)) <=> v90(constB82, bitIndex2)) | ((~v90(constB83, bitIndex0)) <=> v90(constB82, bitIndex0))) | (~((~v90(constB83, bitIndex0)) <=> v90(constB82, bitIndex0)))),
% 7.59/5.51 inference(tautology,[status(thm)],[])).
% 7.59/5.51 tff(11556,plain,
% 7.59/5.51 (~((~v90(constB83, bitIndex0)) <=> v90(constB82, bitIndex0))),
% 7.59/5.51 inference(unit_resolution,[status(thm)],[11555, 11412])).
% 7.59/5.51 tff(11557,plain,
% 7.59/5.51 ((((~v129(constB82, bitIndex2)) <=> v127(constB81, bitIndex2)) | ((~v129(constB82, bitIndex1)) <=> v127(constB81, bitIndex1)) | ((~v129(constB82, bitIndex0)) <=> v127(constB81, bitIndex0))) | (~((~v129(constB82, bitIndex0)) <=> v127(constB81, bitIndex0)))),
% 7.59/5.51 inference(tautology,[status(thm)],[])).
% 7.59/5.51 tff(11558,plain,
% 7.59/5.51 (~((~v129(constB82, bitIndex0)) <=> v127(constB81, bitIndex0))),
% 7.59/5.51 inference(unit_resolution,[status(thm)],[11557, 11418])).
% 7.59/5.51 tff(11559,plain,
% 7.59/5.51 ((((~v127(constB81, bitIndex2)) <=> v130(constB81, bitIndex2)) | ((~v127(constB81, bitIndex1)) <=> v130(constB81, bitIndex1)) | ((~v127(constB81, bitIndex0)) <=> v130(constB81, bitIndex0))) | (~((~v127(constB81, bitIndex0)) <=> v130(constB81, bitIndex0)))),
% 7.59/5.51 inference(tautology,[status(thm)],[])).
% 7.59/5.51 tff(11560,plain,
% 7.59/5.51 (~((~v127(constB81, bitIndex0)) <=> v130(constB81, bitIndex0))),
% 7.59/5.51 inference(unit_resolution,[status(thm)],[11559, 11432])).
% 7.59/5.51 tff(11561,plain,
% 7.59/5.51 ((v130(constB81, bitIndex1) | v130(constB81, bitIndex0) | (~v130(constB81, bitIndex2))) | (~v130(constB81, bitIndex0))),
% 7.59/5.51 inference(tautology,[status(thm)],[])).
% 7.59/5.51 tff(11562,plain,
% 7.59/5.51 (~v130(constB81, bitIndex0)),
% 7.59/5.51 inference(unit_resolution,[status(thm)],[11561, 11453])).
% 7.59/5.51 tff(11563,plain,
% 7.59/5.51 (((~v127(constB81, bitIndex0)) <=> v130(constB81, bitIndex0)) | (~v127(constB81, bitIndex0)) | v130(constB81, bitIndex0)),
% 7.59/5.51 inference(tautology,[status(thm)],[])).
% 7.59/5.51 tff(11564,plain,
% 7.59/5.51 (~v127(constB81, bitIndex0)),
% 7.59/5.51 inference(unit_resolution,[status(thm)],[11563, 11562, 11560])).
% 7.59/5.51 tff(11565,plain,
% 7.59/5.51 (((~v129(constB82, bitIndex0)) <=> v127(constB81, bitIndex0)) | (~v129(constB82, bitIndex0)) | v127(constB81, bitIndex0)),
% 7.59/5.51 inference(tautology,[status(thm)],[])).
% 7.59/5.51 tff(11566,plain,
% 7.59/5.51 (~v129(constB82, bitIndex0)),
% 7.59/5.51 inference(unit_resolution,[status(thm)],[11565, 11564, 11558])).
% 7.59/5.51 tff(11567,plain,
% 7.59/5.51 ((((~v90(constB82, bitIndex0)) <=> v129(constB82, bitIndex0)) | ((~v90(constB82, bitIndex2)) <=> v129(constB82, bitIndex2)) | ((~v90(constB82, bitIndex1)) <=> v129(constB82, bitIndex1))) | (~((~v90(constB82, bitIndex0)) <=> v129(constB82, bitIndex0)))),
% 7.59/5.51 inference(tautology,[status(thm)],[])).
% 7.59/5.51 tff(11568,plain,
% 7.59/5.51 (~((~v90(constB82, bitIndex0)) <=> v129(constB82, bitIndex0))),
% 7.59/5.51 inference(unit_resolution,[status(thm)],[11567, 11548])).
% 7.59/5.51 tff(11569,plain,
% 7.59/5.51 (((~v90(constB82, bitIndex0)) <=> v129(constB82, bitIndex0)) | (~v90(constB82, bitIndex0)) | v129(constB82, bitIndex0)),
% 7.59/5.51 inference(tautology,[status(thm)],[])).
% 7.59/5.51 tff(11570,plain,
% 7.59/5.51 (~v90(constB82, bitIndex0)),
% 7.59/5.51 inference(unit_resolution,[status(thm)],[11569, 11568, 11566])).
% 7.59/5.51 tff(11571,plain,
% 7.59/5.51 (((~v90(constB83, bitIndex0)) <=> v90(constB82, bitIndex0)) | (~v90(constB83, bitIndex0)) | v90(constB82, bitIndex0)),
% 7.59/5.51 inference(tautology,[status(thm)],[])).
% 7.59/5.51 tff(11572,plain,
% 7.59/5.51 (~v90(constB83, bitIndex0)),
% 7.59/5.51 inference(unit_resolution,[status(thm)],[11571, 11570, 11556])).
% 7.59/5.51 tff(11573,plain,
% 7.59/5.51 ((((~v90(constB83, bitIndex1)) <=> v90(constB82, bitIndex1)) | ((~v90(constB83, bitIndex2)) <=> v90(constB82, bitIndex2)) | ((~v90(constB83, bitIndex0)) <=> v90(constB82, bitIndex0))) | (~((~v90(constB83, bitIndex1)) <=> v90(constB82, bitIndex1)))),
% 7.59/5.51 inference(tautology,[status(thm)],[])).
% 7.59/5.51 tff(11574,plain,
% 7.59/5.51 (~((~v90(constB83, bitIndex1)) <=> v90(constB82, bitIndex1))),
% 7.59/5.51 inference(unit_resolution,[status(thm)],[11573, 11412])).
% 7.59/5.51 tff(11575,plain,
% 7.59/5.51 ((((~v129(constB82, bitIndex2)) <=> v127(constB81, bitIndex2)) | ((~v129(constB82, bitIndex1)) <=> v127(constB81, bitIndex1)) | ((~v129(constB82, bitIndex0)) <=> v127(constB81, bitIndex0))) | (~((~v129(constB82, bitIndex1)) <=> v127(constB81, bitIndex1)))),
% 7.59/5.51 inference(tautology,[status(thm)],[])).
% 7.59/5.51 tff(11576,plain,
% 7.59/5.51 (~((~v129(constB82, bitIndex1)) <=> v127(constB81, bitIndex1))),
% 7.59/5.51 inference(unit_resolution,[status(thm)],[11575, 11418])).
% 7.59/5.51 tff(11577,plain,
% 7.59/5.51 ((((~v127(constB81, bitIndex2)) <=> v130(constB81, bitIndex2)) | ((~v127(constB81, bitIndex1)) <=> v130(constB81, bitIndex1)) | ((~v127(constB81, bitIndex0)) <=> v130(constB81, bitIndex0))) | (~((~v127(constB81, bitIndex1)) <=> v130(constB81, bitIndex1)))),
% 7.59/5.51 inference(tautology,[status(thm)],[])).
% 7.59/5.51 tff(11578,plain,
% 7.59/5.51 (~((~v127(constB81, bitIndex1)) <=> v130(constB81, bitIndex1))),
% 7.59/5.51 inference(unit_resolution,[status(thm)],[11577, 11432])).
% 7.59/5.51 tff(11579,plain,
% 7.59/5.51 ((v130(constB81, bitIndex1) | v130(constB81, bitIndex0) | (~v130(constB81, bitIndex2))) | (~v130(constB81, bitIndex1))),
% 7.59/5.51 inference(tautology,[status(thm)],[])).
% 7.59/5.51 tff(11580,plain,
% 7.59/5.51 (~v130(constB81, bitIndex1)),
% 7.59/5.51 inference(unit_resolution,[status(thm)],[11579, 11453])).
% 7.59/5.51 tff(11581,plain,
% 7.59/5.51 (((~v127(constB81, bitIndex1)) <=> v130(constB81, bitIndex1)) | (~v127(constB81, bitIndex1)) | v130(constB81, bitIndex1)),
% 7.59/5.51 inference(tautology,[status(thm)],[])).
% 7.59/5.51 tff(11582,plain,
% 7.59/5.51 (~v127(constB81, bitIndex1)),
% 7.59/5.51 inference(unit_resolution,[status(thm)],[11581, 11580, 11578])).
% 7.59/5.51 tff(11583,plain,
% 7.59/5.51 (((~v129(constB82, bitIndex1)) <=> v127(constB81, bitIndex1)) | (~v129(constB82, bitIndex1)) | v127(constB81, bitIndex1)),
% 7.59/5.51 inference(tautology,[status(thm)],[])).
% 7.59/5.51 tff(11584,plain,
% 7.59/5.51 (~v129(constB82, bitIndex1)),
% 7.59/5.51 inference(unit_resolution,[status(thm)],[11583, 11582, 11576])).
% 7.59/5.51 tff(11585,plain,
% 7.59/5.51 ((((~v90(constB82, bitIndex0)) <=> v129(constB82, bitIndex0)) | ((~v90(constB82, bitIndex2)) <=> v129(constB82, bitIndex2)) | ((~v90(constB82, bitIndex1)) <=> v129(constB82, bitIndex1))) | (~((~v90(constB82, bitIndex1)) <=> v129(constB82, bitIndex1)))),
% 7.59/5.51 inference(tautology,[status(thm)],[])).
% 7.59/5.51 tff(11586,plain,
% 7.59/5.51 (~((~v90(constB82, bitIndex1)) <=> v129(constB82, bitIndex1))),
% 7.59/5.51 inference(unit_resolution,[status(thm)],[11585, 11548])).
% 7.59/5.51 tff(11587,plain,
% 7.59/5.51 (((~v90(constB82, bitIndex1)) <=> v129(constB82, bitIndex1)) | (~v90(constB82, bitIndex1)) | v129(constB82, bitIndex1)),
% 7.59/5.51 inference(tautology,[status(thm)],[])).
% 7.59/5.51 tff(11588,plain,
% 7.59/5.51 (~v90(constB82, bitIndex1)),
% 7.59/5.51 inference(unit_resolution,[status(thm)],[11587, 11586, 11584])).
% 7.59/5.51 tff(11589,plain,
% 7.59/5.51 (((~v90(constB83, bitIndex1)) <=> v90(constB82, bitIndex1)) | (~v90(constB83, bitIndex1)) | v90(constB82, bitIndex1)),
% 7.59/5.51 inference(tautology,[status(thm)],[])).
% 7.59/5.51 tff(11590,plain,
% 7.59/5.51 (~v90(constB83, bitIndex1)),
% 7.59/5.51 inference(unit_resolution,[status(thm)],[11589, 11588, 11574])).
% 7.59/5.51 tff(11591,plain,
% 7.59/5.51 ((~(v90(constB83, bitIndex1) | v90(constB83, bitIndex0) | (~v90(constB83, bitIndex2)))) | v90(constB83, bitIndex1) | v90(constB83, bitIndex0) | (~v90(constB83, bitIndex2))),
% 7.59/5.51 inference(tautology,[status(thm)],[])).
% 7.59/5.51 tff(11592,plain,
% 7.59/5.51 (~(v90(constB83, bitIndex1) | v90(constB83, bitIndex0) | (~v90(constB83, bitIndex2)))),
% 7.59/5.51 inference(unit_resolution,[status(thm)],[11591, 11590, 11572, 11554])).
% 7.59/5.51 tff(11593,plain,
% 7.60/5.51 ((~(v123(constB83) <=> (~(v90(constB83, bitIndex1) | v90(constB83, bitIndex0) | (~v90(constB83, bitIndex2)))))) | v123(constB83) | (v90(constB83, bitIndex1) | v90(constB83, bitIndex0) | (~v90(constB83, bitIndex2)))),
% 7.60/5.51 inference(tautology,[status(thm)],[])).
% 7.60/5.51 tff(11594,plain,
% 7.60/5.51 (v123(constB83)),
% 7.60/5.51 inference(unit_resolution,[status(thm)],[11593, 11592, 11381])).
% 7.60/5.51 tff(11595,plain,
% 7.60/5.51 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | ((~v123(constB83)) | (~(v130(constB83, bitIndex0) | (~v130(constB83, bitIndex2)) | (~v130(constB83, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | (~v123(constB83)) | (~(v130(constB83, bitIndex0) | (~v130(constB83, bitIndex2)) | (~v130(constB83, bitIndex1)))))),
% 7.60/5.51 inference(rewrite,[status(thm)],[])).
% 7.60/5.51 tff(11596,plain,
% 7.60/5.51 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | ((~v123(constB83)) | (~(v130(constB83, bitIndex0) | (~v130(constB83, bitIndex2)) | (~v130(constB83, bitIndex1)))))),
% 7.60/5.51 inference(quant_inst,[status(thm)],[])).
% 7.60/5.51 tff(11597,plain,
% 7.60/5.51 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | (~v123(constB83)) | (~(v130(constB83, bitIndex0) | (~v130(constB83, bitIndex2)) | (~v130(constB83, bitIndex1))))),
% 7.60/5.51 inference(modus_ponens,[status(thm)],[11596, 11595])).
% 7.60/5.51 tff(11598,plain,
% 7.60/5.51 ((~v123(constB83)) | (~(v130(constB83, bitIndex0) | (~v130(constB83, bitIndex2)) | (~v130(constB83, bitIndex1))))),
% 7.60/5.51 inference(unit_resolution,[status(thm)],[11597, 3496])).
% 7.60/5.51 tff(11599,plain,
% 7.60/5.51 (~(v130(constB83, bitIndex0) | (~v130(constB83, bitIndex2)) | (~v130(constB83, bitIndex1)))),
% 7.60/5.51 inference(unit_resolution,[status(thm)],[11598, 11594])).
% 7.60/5.51 tff(11600,plain,
% 7.60/5.51 ((v130(constB83, bitIndex0) | (~v130(constB83, bitIndex2)) | (~v130(constB83, bitIndex1))) | v130(constB83, bitIndex2)),
% 7.60/5.51 inference(tautology,[status(thm)],[])).
% 7.60/5.51 tff(11601,plain,
% 7.60/5.51 (v130(constB83, bitIndex2)),
% 7.60/5.51 inference(unit_resolution,[status(thm)],[11600, 11599])).
% 7.60/5.51 tff(11602,plain,
% 7.60/5.51 (((~v127(constB83, bitIndex2)) <=> v130(constB83, bitIndex2)) | v127(constB83, bitIndex2) | (~v130(constB83, bitIndex2))),
% 7.60/5.51 inference(tautology,[status(thm)],[])).
% 7.60/5.51 tff(11603,plain,
% 7.60/5.51 (v127(constB83, bitIndex2)),
% 7.60/5.51 inference(unit_resolution,[status(thm)],[11602, 11601, 11374])).
% 7.60/5.51 tff(11604,plain,
% 7.60/5.51 (((~v129(constB84, bitIndex2)) <=> v127(constB83, bitIndex2)) | v129(constB84, bitIndex2) | (~v127(constB83, bitIndex2))),
% 7.60/5.51 inference(tautology,[status(thm)],[])).
% 7.60/5.51 tff(11605,plain,
% 7.60/5.51 (v129(constB84, bitIndex2)),
% 7.60/5.51 inference(unit_resolution,[status(thm)],[11604, 11603, 11360])).
% 7.60/5.51 tff(11606,plain,
% 7.60/5.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB83, constB84)) | (v100(constB84) <=> (~((~v101(constB84)) | (~v110(constB84))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB83, constB84)) | (v100(constB84) <=> (~((~v101(constB84)) | (~v110(constB84))))))),
% 7.60/5.51 inference(rewrite,[status(thm)],[])).
% 7.60/5.51 tff(11607,plain,
% 7.60/5.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB83, constB84)) | (v100(constB84) <=> (~((~v101(constB84)) | (~v110(constB84))))))),
% 7.60/5.51 inference(quant_inst,[status(thm)],[])).
% 7.60/5.51 tff(11608,plain,
% 7.60/5.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB83, constB84)) | (v100(constB84) <=> (~((~v101(constB84)) | (~v110(constB84)))))),
% 7.60/5.51 inference(modus_ponens,[status(thm)],[11607, 11606])).
% 7.60/5.51 tff(11609,plain,
% 7.60/5.51 (v100(constB84) <=> (~((~v101(constB84)) | (~v110(constB84))))),
% 7.60/5.52 inference(unit_resolution,[status(thm)],[11608, 11354, 445])).
% 7.60/5.52 tff(11610,plain,
% 7.60/5.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB83, constB84)) | (v101(constB84) <=> (~((~v1(constB84)) | (~v102(constB84))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB83, constB84)) | (v101(constB84) <=> (~((~v1(constB84)) | (~v102(constB84))))))),
% 7.60/5.52 inference(rewrite,[status(thm)],[])).
% 7.60/5.52 tff(11611,plain,
% 7.60/5.52 (((~nextState(constB83, constB84)) | (v101(constB84) <=> (~((~v102(constB84)) | (~v1(constB84)))))) <=> ((~nextState(constB83, constB84)) | (v101(constB84) <=> (~((~v1(constB84)) | (~v102(constB84))))))),
% 7.60/5.52 inference(rewrite,[status(thm)],[])).
% 7.60/5.52 tff(11612,plain,
% 7.60/5.52 (((~![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) <=> (~((~v1(constB84)) | (~v102(constB84)))))))),
% 7.60/5.52 inference(monotonicity,[status(thm)],[11611])).
% 7.60/5.52 tff(11613,plain,
% 7.60/5.52 (((~![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) <=> (~((~v1(constB84)) | (~v102(constB84))))))),
% 7.60/5.52 inference(transitivity,[status(thm)],[11612, 11610])).
% 7.60/5.52 tff(11614,plain,
% 7.60/5.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB83, constB84)) | (v101(constB84) <=> (~((~v102(constB84)) | (~v1(constB84))))))),
% 7.60/5.52 inference(quant_inst,[status(thm)],[])).
% 7.60/5.52 tff(11615,plain,
% 7.60/5.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB83, constB84)) | (v101(constB84) <=> (~((~v1(constB84)) | (~v102(constB84)))))),
% 7.60/5.52 inference(modus_ponens,[status(thm)],[11614, 11613])).
% 7.60/5.52 tff(11616,plain,
% 7.60/5.52 (v101(constB84) <=> (~((~v1(constB84)) | (~v102(constB84))))),
% 7.60/5.52 inference(unit_resolution,[status(thm)],[11615, 11354, 465])).
% 7.60/5.52 tff(11617,plain,
% 7.60/5.52 (((~![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)))),
% 7.60/5.52 inference(rewrite,[status(thm)],[])).
% 7.60/5.52 tff(11618,plain,
% 7.60/5.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB83, constB84)) | ((~v102(constB84)) <=> v104(constB84)))),
% 7.60/5.52 inference(quant_inst,[status(thm)],[])).
% 7.60/5.52 tff(11619,plain,
% 7.60/5.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB83, constB84)) | ((~v102(constB84)) <=> v104(constB84))),
% 7.60/5.52 inference(modus_ponens,[status(thm)],[11618, 11617])).
% 7.60/5.52 tff(11620,plain,
% 7.60/5.52 ((~v102(constB84)) <=> v104(constB84)),
% 7.60/5.52 inference(unit_resolution,[status(thm)],[11619, 11354, 3244])).
% 7.60/5.52 tff(11621,plain,
% 7.60/5.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB83, constB84)) | (v104(constB84) <=> v1(constB83)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB83, constB84)) | (v104(constB84) <=> v1(constB83)))),
% 7.60/5.52 inference(rewrite,[status(thm)],[])).
% 7.60/5.52 tff(11622,plain,
% 7.60/5.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB83, constB84)) | (v104(constB84) <=> v1(constB83)))),
% 7.60/5.52 inference(quant_inst,[status(thm)],[])).
% 7.60/5.52 tff(11623,plain,
% 7.60/5.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB83, constB84)) | (v104(constB84) <=> v1(constB83))),
% 7.60/5.52 inference(modus_ponens,[status(thm)],[11622, 11621])).
% 7.60/5.52 tff(11624,plain,
% 7.60/5.52 (v104(constB84) <=> v1(constB83)),
% 7.60/5.52 inference(unit_resolution,[status(thm)],[11623, 11354, 3258])).
% 7.60/5.52 tff(11625,plain,
% 7.60/5.52 ((~(v104(constB84) <=> v1(constB83))) | (~v104(constB84)) | v1(constB83)),
% 7.60/5.52 inference(tautology,[status(thm)],[])).
% 7.60/5.52 tff(11626,plain,
% 7.60/5.52 ((~(v104(constB84) <=> v1(constB83))) | (~v104(constB84))),
% 7.60/5.52 inference(unit_resolution,[status(thm)],[11625, 11395])).
% 7.60/5.52 tff(11627,plain,
% 7.60/5.52 (~v104(constB84)),
% 7.60/5.52 inference(unit_resolution,[status(thm)],[11626, 11624])).
% 7.60/5.52 tff(11628,plain,
% 7.60/5.52 ((~((~v102(constB84)) <=> v104(constB84))) | v102(constB84) | v104(constB84)),
% 7.60/5.52 inference(tautology,[status(thm)],[])).
% 7.60/5.52 tff(11629,plain,
% 7.60/5.52 (v102(constB84)),
% 7.60/5.52 inference(unit_resolution,[status(thm)],[11628, 11627, 11620])).
% 7.60/5.52 tff(11630,plain,
% 7.60/5.52 (v1(constB84) <=> v1(constB84)),
% 7.60/5.52 inference(rewrite,[status(thm)],[])).
% 7.60/5.52 tff(11631,axiom,(v1(constB84)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_84')).
% 7.60/5.52 tff(11632,plain,
% 7.60/5.52 (v1(constB84)),
% 7.60/5.52 inference(modus_ponens,[status(thm)],[11631, 11630])).
% 7.60/5.52 tff(11633,plain,
% 7.60/5.52 ((~((~v1(constB84)) | (~v102(constB84)))) | (~v1(constB84)) | (~v102(constB84))),
% 7.60/5.52 inference(tautology,[status(thm)],[])).
% 7.60/5.52 tff(11634,plain,
% 7.60/5.52 ((~((~v1(constB84)) | (~v102(constB84)))) | (~v102(constB84))),
% 7.60/5.52 inference(unit_resolution,[status(thm)],[11633, 11632])).
% 7.60/5.52 tff(11635,plain,
% 7.60/5.52 (~((~v1(constB84)) | (~v102(constB84)))),
% 7.60/5.52 inference(unit_resolution,[status(thm)],[11634, 11629])).
% 7.60/5.52 tff(11636,plain,
% 7.60/5.52 ((~(v101(constB84) <=> (~((~v1(constB84)) | (~v102(constB84)))))) | v101(constB84) | ((~v1(constB84)) | (~v102(constB84)))),
% 7.60/5.52 inference(tautology,[status(thm)],[])).
% 7.60/5.52 tff(11637,plain,
% 7.60/5.52 (v101(constB84)),
% 7.60/5.52 inference(unit_resolution,[status(thm)],[11636, 11635, 11616])).
% 7.60/5.52 tff(11638,plain,
% 7.60/5.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB83, constB84)) | (v110(constB84) <=> v108(constB83)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB83, constB84)) | (v110(constB84) <=> v108(constB83)))),
% 7.60/5.52 inference(rewrite,[status(thm)],[])).
% 7.60/5.52 tff(11639,plain,
% 7.60/5.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB83, constB84)) | (v110(constB84) <=> v108(constB83)))),
% 7.60/5.52 inference(quant_inst,[status(thm)],[])).
% 7.60/5.52 tff(11640,plain,
% 7.60/5.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB83, constB84)) | (v110(constB84) <=> v108(constB83))),
% 7.60/5.52 inference(modus_ponens,[status(thm)],[11639, 11638])).
% 7.60/5.52 tff(11641,plain,
% 7.60/5.52 (v110(constB84) <=> v108(constB83)),
% 7.60/5.52 inference(unit_resolution,[status(thm)],[11640, 11354, 3285])).
% 7.60/5.52 tff(11642,plain,
% 7.60/5.52 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB83) <=> (v111(constB83) | v112(constB83)))),
% 7.60/5.52 inference(quant_inst,[status(thm)],[])).
% 7.60/5.52 tff(11643,plain,
% 7.60/5.52 (v108(constB83) <=> (v111(constB83) | v112(constB83))),
% 7.60/5.52 inference(unit_resolution,[status(thm)],[11642, 3296])).
% 7.60/5.52 tff(11644,plain,
% 7.60/5.52 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB83) <=> (~((~v113(constB83)) | (~v126(constB83)))))),
% 7.60/5.52 inference(quant_inst,[status(thm)],[])).
% 7.60/5.52 tff(11645,plain,
% 7.60/5.52 (v112(constB83) <=> (~((~v113(constB83)) | (~v126(constB83))))),
% 7.60/5.52 inference(unit_resolution,[status(thm)],[11644, 3308])).
% 7.60/5.52 tff(11646,plain,
% 7.60/5.52 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB83) <=> (v114(constB83) | v125(constB83)))),
% 7.60/5.52 inference(quant_inst,[status(thm)],[])).
% 7.60/5.52 tff(11647,plain,
% 7.60/5.52 (v113(constB83) <=> (v114(constB83) | v125(constB83))),
% 7.60/5.52 inference(unit_resolution,[status(thm)],[11646, 3317])).
% 7.60/5.52 tff(11648,plain,
% 7.60/5.52 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB83) <=> (v115(constB83) | v124(constB83)))),
% 7.60/5.52 inference(quant_inst,[status(thm)],[])).
% 7.60/5.52 tff(11649,plain,
% 7.60/5.52 (v114(constB83) <=> (v115(constB83) | v124(constB83))),
% 7.60/5.52 inference(unit_resolution,[status(thm)],[11648, 3326])).
% 7.60/5.52 tff(11650,plain,
% 7.60/5.52 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB83) <=> (v116(constB83) | v123(constB83)))),
% 7.60/5.52 inference(quant_inst,[status(thm)],[])).
% 7.60/5.52 tff(11651,plain,
% 7.60/5.52 (v115(constB83) <=> (v116(constB83) | v123(constB83))),
% 7.60/5.52 inference(unit_resolution,[status(thm)],[11650, 3335])).
% 7.60/5.52 tff(11652,plain,
% 7.60/5.52 ((v116(constB83) | v123(constB83)) | (~v123(constB83))),
% 7.60/5.52 inference(tautology,[status(thm)],[])).
% 7.60/5.52 tff(11653,plain,
% 7.60/5.52 (v116(constB83) | v123(constB83)),
% 7.60/5.52 inference(unit_resolution,[status(thm)],[11652, 11594])).
% 7.60/5.52 tff(11654,plain,
% 7.60/5.52 ((~(v115(constB83) <=> (v116(constB83) | v123(constB83)))) | v115(constB83) | (~(v116(constB83) | v123(constB83)))),
% 7.60/5.52 inference(tautology,[status(thm)],[])).
% 7.60/5.52 tff(11655,plain,
% 7.60/5.52 (v115(constB83)),
% 7.60/5.52 inference(unit_resolution,[status(thm)],[11654, 11653, 11651])).
% 7.60/5.52 tff(11656,plain,
% 7.60/5.52 ((v115(constB83) | v124(constB83)) | (~v115(constB83))),
% 7.60/5.52 inference(tautology,[status(thm)],[])).
% 7.60/5.52 tff(11657,plain,
% 7.60/5.52 (v115(constB83) | v124(constB83)),
% 7.60/5.52 inference(unit_resolution,[status(thm)],[11656, 11655])).
% 7.60/5.52 tff(11658,plain,
% 7.60/5.52 ((~(v114(constB83) <=> (v115(constB83) | v124(constB83)))) | v114(constB83) | (~(v115(constB83) | v124(constB83)))),
% 7.60/5.52 inference(tautology,[status(thm)],[])).
% 7.60/5.52 tff(11659,plain,
% 7.60/5.52 (v114(constB83)),
% 7.60/5.52 inference(unit_resolution,[status(thm)],[11658, 11657, 11649])).
% 7.60/5.52 tff(11660,plain,
% 7.60/5.52 ((v114(constB83) | v125(constB83)) | (~v114(constB83))),
% 7.60/5.52 inference(tautology,[status(thm)],[])).
% 7.60/5.52 tff(11661,plain,
% 7.60/5.52 (v114(constB83) | v125(constB83)),
% 7.60/5.52 inference(unit_resolution,[status(thm)],[11660, 11659])).
% 7.60/5.52 tff(11662,plain,
% 7.60/5.52 ((~(v113(constB83) <=> (v114(constB83) | v125(constB83)))) | v113(constB83) | (~(v114(constB83) | v125(constB83)))),
% 7.60/5.52 inference(tautology,[status(thm)],[])).
% 7.60/5.52 tff(11663,plain,
% 7.60/5.52 (v113(constB83)),
% 7.60/5.52 inference(unit_resolution,[status(thm)],[11662, 11661, 11647])).
% 7.60/5.52 tff(11664,plain,
% 7.60/5.52 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB83)) <=> v111(constB83))),
% 7.60/5.52 inference(quant_inst,[status(thm)],[])).
% 7.60/5.52 tff(11665,plain,
% 7.60/5.52 ((~v126(constB83)) <=> v111(constB83)),
% 7.60/5.52 inference(unit_resolution,[status(thm)],[11664, 3396])).
% 7.60/5.52 tff(11666,plain,
% 7.60/5.52 ((~((~v126(constB83)) <=> v111(constB83))) | v126(constB83) | v111(constB83)),
% 7.60/5.52 inference(tautology,[status(thm)],[])).
% 7.60/5.52 tff(11667,plain,
% 7.60/5.52 ((~((~v126(constB83)) <=> v111(constB83))) | v126(constB83)),
% 7.60/5.52 inference(unit_resolution,[status(thm)],[11666, 11367])).
% 7.60/5.52 tff(11668,plain,
% 7.60/5.52 (v126(constB83)),
% 7.60/5.52 inference(unit_resolution,[status(thm)],[11667, 11665])).
% 7.60/5.52 tff(11669,plain,
% 7.60/5.52 ((~((~v113(constB83)) | (~v126(constB83)))) | (~v113(constB83)) | (~v126(constB83))),
% 7.60/5.52 inference(tautology,[status(thm)],[])).
% 7.60/5.52 tff(11670,plain,
% 7.60/5.52 ((~((~v113(constB83)) | (~v126(constB83)))) | (~v113(constB83))),
% 7.60/5.52 inference(unit_resolution,[status(thm)],[11669, 11668])).
% 7.60/5.52 tff(11671,plain,
% 7.60/5.52 (~((~v113(constB83)) | (~v126(constB83)))),
% 7.60/5.52 inference(unit_resolution,[status(thm)],[11670, 11663])).
% 7.60/5.52 tff(11672,plain,
% 7.60/5.52 ((~(v112(constB83) <=> (~((~v113(constB83)) | (~v126(constB83)))))) | v112(constB83) | ((~v113(constB83)) | (~v126(constB83)))),
% 7.60/5.52 inference(tautology,[status(thm)],[])).
% 7.60/5.52 tff(11673,plain,
% 7.60/5.52 (v112(constB83)),
% 7.60/5.52 inference(unit_resolution,[status(thm)],[11672, 11671, 11645])).
% 7.60/5.52 tff(11674,plain,
% 7.60/5.52 ((v111(constB83) | v112(constB83)) | (~v112(constB83))),
% 7.60/5.52 inference(tautology,[status(thm)],[])).
% 7.60/5.52 tff(11675,plain,
% 7.60/5.52 (v111(constB83) | v112(constB83)),
% 7.60/5.52 inference(unit_resolution,[status(thm)],[11674, 11673])).
% 7.60/5.52 tff(11676,plain,
% 7.60/5.52 ((~(v108(constB83) <=> (v111(constB83) | v112(constB83)))) | v108(constB83) | (~(v111(constB83) | v112(constB83)))),
% 7.60/5.52 inference(tautology,[status(thm)],[])).
% 7.60/5.52 tff(11677,plain,
% 7.60/5.52 (v108(constB83)),
% 7.60/5.52 inference(unit_resolution,[status(thm)],[11676, 11675, 11643])).
% 7.60/5.52 tff(11678,plain,
% 7.60/5.52 ((~(v110(constB84) <=> v108(constB83))) | v110(constB84) | (~v108(constB83))),
% 7.60/5.52 inference(tautology,[status(thm)],[])).
% 7.60/5.52 tff(11679,plain,
% 7.60/5.52 (v110(constB84)),
% 7.60/5.52 inference(unit_resolution,[status(thm)],[11678, 11677, 11641])).
% 7.60/5.52 tff(11680,plain,
% 7.60/5.52 ((~((~v101(constB84)) | (~v110(constB84)))) | (~v101(constB84)) | (~v110(constB84))),
% 7.60/5.52 inference(tautology,[status(thm)],[])).
% 7.60/5.52 tff(11681,plain,
% 7.60/5.52 (~((~v101(constB84)) | (~v110(constB84)))),
% 7.60/5.52 inference(unit_resolution,[status(thm)],[11680, 11679, 11637])).
% 7.60/5.52 tff(11682,plain,
% 7.60/5.52 ((~(v100(constB84) <=> (~((~v101(constB84)) | (~v110(constB84)))))) | v100(constB84) | ((~v101(constB84)) | (~v110(constB84)))),
% 7.60/5.52 inference(tautology,[status(thm)],[])).
% 7.60/5.52 tff(11683,plain,
% 7.60/5.52 (v100(constB84)),
% 7.60/5.52 inference(unit_resolution,[status(thm)],[11682, 11681, 11609])).
% 7.60/5.52 tff(11684,plain,
% 7.60/5.52 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB84)) | (~(((~v90(constB84, bitIndex2)) <=> v129(constB84, bitIndex2)) | ((~v90(constB84, bitIndex1)) <=> v129(constB84, bitIndex1)) | ((~v90(constB84, bitIndex0)) <=> v129(constB84, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB84)) | (~(((~v90(constB84, bitIndex2)) <=> v129(constB84, bitIndex2)) | ((~v90(constB84, bitIndex1)) <=> v129(constB84, bitIndex1)) | ((~v90(constB84, bitIndex0)) <=> v129(constB84, bitIndex0)))))),
% 7.60/5.52 inference(rewrite,[status(thm)],[])).
% 7.60/5.52 tff(11685,plain,
% 7.60/5.52 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB84)) | (~(((~v90(constB84, bitIndex2)) <=> v129(constB84, bitIndex2)) | ((~v90(constB84, bitIndex1)) <=> v129(constB84, bitIndex1)) | ((~v90(constB84, bitIndex0)) <=> v129(constB84, bitIndex0)))))),
% 7.60/5.52 inference(quant_inst,[status(thm)],[])).
% 7.60/5.52 tff(11686,plain,
% 7.60/5.52 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB84)) | (~(((~v90(constB84, bitIndex2)) <=> v129(constB84, bitIndex2)) | ((~v90(constB84, bitIndex1)) <=> v129(constB84, bitIndex1)) | ((~v90(constB84, bitIndex0)) <=> v129(constB84, bitIndex0))))),
% 7.60/5.52 inference(modus_ponens,[status(thm)],[11685, 11684])).
% 7.60/5.52 tff(11687,plain,
% 7.60/5.52 ((~v100(constB84)) | (~(((~v90(constB84, bitIndex2)) <=> v129(constB84, bitIndex2)) | ((~v90(constB84, bitIndex1)) <=> v129(constB84, bitIndex1)) | ((~v90(constB84, bitIndex0)) <=> v129(constB84, bitIndex0))))),
% 7.60/5.52 inference(unit_resolution,[status(thm)],[11686, 3429])).
% 7.60/5.52 tff(11688,plain,
% 7.60/5.52 (~(((~v90(constB84, bitIndex2)) <=> v129(constB84, bitIndex2)) | ((~v90(constB84, bitIndex1)) <=> v129(constB84, bitIndex1)) | ((~v90(constB84, bitIndex0)) <=> v129(constB84, bitIndex0)))),
% 7.60/5.52 inference(unit_resolution,[status(thm)],[11687, 11683])).
% 7.60/5.52 tff(11689,plain,
% 7.60/5.52 ((((~v90(constB84, bitIndex2)) <=> v129(constB84, bitIndex2)) | ((~v90(constB84, bitIndex1)) <=> v129(constB84, bitIndex1)) | ((~v90(constB84, bitIndex0)) <=> v129(constB84, bitIndex0))) | (~((~v90(constB84, bitIndex2)) <=> v129(constB84, bitIndex2)))),
% 7.60/5.52 inference(tautology,[status(thm)],[])).
% 7.60/5.52 tff(11690,plain,
% 7.60/5.52 (~((~v90(constB84, bitIndex2)) <=> v129(constB84, bitIndex2))),
% 7.60/5.52 inference(unit_resolution,[status(thm)],[11689, 11688])).
% 7.60/5.52 tff(11691,plain,
% 7.60/5.52 (((~v90(constB84, bitIndex2)) <=> v129(constB84, bitIndex2)) | v90(constB84, bitIndex2) | (~v129(constB84, bitIndex2))),
% 7.60/5.52 inference(tautology,[status(thm)],[])).
% 7.60/5.52 tff(11692,plain,
% 7.60/5.52 (v90(constB84, bitIndex2)),
% 7.60/5.52 inference(unit_resolution,[status(thm)],[11691, 11690, 11605])).
% 7.60/5.52 tff(11693,plain,
% 7.60/5.52 (((~v90(constB85, bitIndex2)) <=> v90(constB84, bitIndex2)) | v90(constB85, bitIndex2) | (~v90(constB84, bitIndex2))),
% 7.60/5.52 inference(tautology,[status(thm)],[])).
% 7.60/5.52 tff(11694,plain,
% 7.60/5.52 (v90(constB85, bitIndex2)),
% 7.60/5.52 inference(unit_resolution,[status(thm)],[11693, 11692, 11351])).
% 7.60/5.52 tff(11695,plain,
% 7.60/5.52 ((v90(constB85, bitIndex0) | v90(constB85, bitIndex1) | v90(constB85, bitIndex2)) | (~v90(constB85, bitIndex2))),
% 7.60/5.52 inference(tautology,[status(thm)],[])).
% 7.60/5.52 tff(11696,plain,
% 7.60/5.52 (v90(constB85, bitIndex0) | v90(constB85, bitIndex1) | v90(constB85, bitIndex2)),
% 7.60/5.52 inference(unit_resolution,[status(thm)],[11695, 11694])).
% 7.60/5.52 tff(11697,plain,
% 7.60/5.52 ((~(v119(constB85) <=> (~(v90(constB85, bitIndex0) | v90(constB85, bitIndex1) | v90(constB85, bitIndex2))))) | (~v119(constB85)) | (~(v90(constB85, bitIndex0) | v90(constB85, bitIndex1) | v90(constB85, bitIndex2)))),
% 7.60/5.52 inference(tautology,[status(thm)],[])).
% 7.60/5.52 tff(11698,plain,
% 7.60/5.52 (~v119(constB85)),
% 7.60/5.52 inference(unit_resolution,[status(thm)],[11697, 11696, 11315])).
% 7.60/5.52 tff(11699,plain,
% 7.60/5.52 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB85) <=> (~(v90(constB85, bitIndex1) | (~v90(constB85, bitIndex2)) | (~v90(constB85, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB85) <=> (~(v90(constB85, bitIndex1) | (~v90(constB85, bitIndex2)) | (~v90(constB85, bitIndex0))))))),
% 7.60/5.52 inference(rewrite,[status(thm)],[])).
% 7.60/5.52 tff(11700,plain,
% 7.60/5.52 ((v124(constB85) <=> (~(v90(constB85, bitIndex1) | (~v90(constB85, bitIndex0)) | (~v90(constB85, bitIndex2))))) <=> (v124(constB85) <=> (~(v90(constB85, bitIndex1) | (~v90(constB85, bitIndex2)) | (~v90(constB85, bitIndex0)))))),
% 7.60/5.52 inference(rewrite,[status(thm)],[])).
% 7.60/5.52 tff(11701,plain,
% 7.60/5.52 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB85) <=> (~(v90(constB85, bitIndex1) | (~v90(constB85, bitIndex0)) | (~v90(constB85, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB85) <=> (~(v90(constB85, bitIndex1) | (~v90(constB85, bitIndex2)) | (~v90(constB85, bitIndex0))))))),
% 7.60/5.52 inference(monotonicity,[status(thm)],[11700])).
% 7.60/5.52 tff(11702,plain,
% 7.60/5.52 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB85) <=> (~(v90(constB85, bitIndex1) | (~v90(constB85, bitIndex0)) | (~v90(constB85, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB85) <=> (~(v90(constB85, bitIndex1) | (~v90(constB85, bitIndex2)) | (~v90(constB85, bitIndex0))))))),
% 7.60/5.52 inference(transitivity,[status(thm)],[11701, 11699])).
% 7.60/5.52 tff(11703,plain,
% 7.60/5.52 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB85) <=> (~(v90(constB85, bitIndex1) | (~v90(constB85, bitIndex0)) | (~v90(constB85, bitIndex2)))))),
% 7.60/5.52 inference(quant_inst,[status(thm)],[])).
% 7.60/5.52 tff(11704,plain,
% 7.60/5.52 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB85) <=> (~(v90(constB85, bitIndex1) | (~v90(constB85, bitIndex2)) | (~v90(constB85, bitIndex0)))))),
% 7.60/5.52 inference(modus_ponens,[status(thm)],[11703, 11702])).
% 7.60/5.52 tff(11705,plain,
% 7.60/5.52 (v124(constB85) <=> (~(v90(constB85, bitIndex1) | (~v90(constB85, bitIndex2)) | (~v90(constB85, bitIndex0))))),
% 7.60/5.52 inference(unit_resolution,[status(thm)],[11704, 3613])).
% 7.60/5.52 tff(11706,plain,
% 7.60/5.52 ((((~v90(constB85, bitIndex1)) <=> v90(constB84, bitIndex1)) | ((~v90(constB85, bitIndex2)) <=> v90(constB84, bitIndex2)) | ((~v90(constB85, bitIndex0)) <=> v90(constB84, bitIndex0))) | (~((~v90(constB85, bitIndex1)) <=> v90(constB84, bitIndex1)))),
% 7.60/5.52 inference(tautology,[status(thm)],[])).
% 7.60/5.52 tff(11707,plain,
% 7.60/5.52 (~((~v90(constB85, bitIndex1)) <=> v90(constB84, bitIndex1))),
% 7.60/5.52 inference(unit_resolution,[status(thm)],[11706, 11349])).
% 7.60/5.52 tff(11708,plain,
% 7.60/5.52 ((((~v129(constB84, bitIndex2)) <=> v127(constB83, bitIndex2)) | ((~v129(constB84, bitIndex1)) <=> v127(constB83, bitIndex1)) | ((~v129(constB84, bitIndex0)) <=> v127(constB83, bitIndex0))) | (~((~v129(constB84, bitIndex1)) <=> v127(constB83, bitIndex1)))),
% 7.60/5.52 inference(tautology,[status(thm)],[])).
% 7.60/5.52 tff(11709,plain,
% 7.60/5.52 (~((~v129(constB84, bitIndex1)) <=> v127(constB83, bitIndex1))),
% 7.60/5.52 inference(unit_resolution,[status(thm)],[11708, 11358])).
% 7.60/5.52 tff(11710,plain,
% 7.60/5.52 ((((~v127(constB83, bitIndex2)) <=> v130(constB83, bitIndex2)) | ((~v127(constB83, bitIndex1)) <=> v130(constB83, bitIndex1)) | ((~v127(constB83, bitIndex0)) <=> v130(constB83, bitIndex0))) | (~((~v127(constB83, bitIndex1)) <=> v130(constB83, bitIndex1)))),
% 7.60/5.52 inference(tautology,[status(thm)],[])).
% 7.60/5.52 tff(11711,plain,
% 7.60/5.52 (~((~v127(constB83, bitIndex1)) <=> v130(constB83, bitIndex1))),
% 7.60/5.52 inference(unit_resolution,[status(thm)],[11710, 11372])).
% 7.60/5.52 tff(11712,plain,
% 7.60/5.52 ((v130(constB83, bitIndex0) | (~v130(constB83, bitIndex2)) | (~v130(constB83, bitIndex1))) | v130(constB83, bitIndex1)),
% 7.60/5.52 inference(tautology,[status(thm)],[])).
% 7.60/5.52 tff(11713,plain,
% 7.60/5.52 (v130(constB83, bitIndex1)),
% 7.60/5.52 inference(unit_resolution,[status(thm)],[11712, 11599])).
% 7.60/5.52 tff(11714,plain,
% 7.60/5.52 (((~v127(constB83, bitIndex1)) <=> v130(constB83, bitIndex1)) | v127(constB83, bitIndex1) | (~v130(constB83, bitIndex1))),
% 7.60/5.52 inference(tautology,[status(thm)],[])).
% 7.60/5.52 tff(11715,plain,
% 7.60/5.52 (v127(constB83, bitIndex1)),
% 7.60/5.52 inference(unit_resolution,[status(thm)],[11714, 11713, 11711])).
% 7.60/5.52 tff(11716,plain,
% 7.60/5.52 (((~v129(constB84, bitIndex1)) <=> v127(constB83, bitIndex1)) | v129(constB84, bitIndex1) | (~v127(constB83, bitIndex1))),
% 7.60/5.52 inference(tautology,[status(thm)],[])).
% 7.60/5.52 tff(11717,plain,
% 7.60/5.52 (v129(constB84, bitIndex1)),
% 7.60/5.52 inference(unit_resolution,[status(thm)],[11716, 11715, 11709])).
% 7.60/5.52 tff(11718,plain,
% 7.60/5.52 ((((~v90(constB84, bitIndex2)) <=> v129(constB84, bitIndex2)) | ((~v90(constB84, bitIndex1)) <=> v129(constB84, bitIndex1)) | ((~v90(constB84, bitIndex0)) <=> v129(constB84, bitIndex0))) | (~((~v90(constB84, bitIndex1)) <=> v129(constB84, bitIndex1)))),
% 7.60/5.52 inference(tautology,[status(thm)],[])).
% 7.60/5.52 tff(11719,plain,
% 7.60/5.52 (~((~v90(constB84, bitIndex1)) <=> v129(constB84, bitIndex1))),
% 7.60/5.52 inference(unit_resolution,[status(thm)],[11718, 11688])).
% 7.60/5.52 tff(11720,plain,
% 7.60/5.52 (((~v90(constB84, bitIndex1)) <=> v129(constB84, bitIndex1)) | v90(constB84, bitIndex1) | (~v129(constB84, bitIndex1))),
% 7.60/5.52 inference(tautology,[status(thm)],[])).
% 7.60/5.52 tff(11721,plain,
% 7.60/5.52 (v90(constB84, bitIndex1)),
% 7.60/5.52 inference(unit_resolution,[status(thm)],[11720, 11719, 11717])).
% 7.60/5.52 tff(11722,plain,
% 7.60/5.52 (((~v90(constB85, bitIndex1)) <=> v90(constB84, bitIndex1)) | v90(constB85, bitIndex1) | (~v90(constB84, bitIndex1))),
% 7.60/5.52 inference(tautology,[status(thm)],[])).
% 7.60/5.52 tff(11723,plain,
% 7.60/5.52 (v90(constB85, bitIndex1)),
% 7.60/5.52 inference(unit_resolution,[status(thm)],[11722, 11721, 11707])).
% 7.60/5.52 tff(11724,plain,
% 7.60/5.52 ((v90(constB85, bitIndex1) | (~v90(constB85, bitIndex2)) | (~v90(constB85, bitIndex0))) | (~v90(constB85, bitIndex1))),
% 7.60/5.52 inference(tautology,[status(thm)],[])).
% 7.60/5.52 tff(11725,plain,
% 7.60/5.52 (v90(constB85, bitIndex1) | (~v90(constB85, bitIndex2)) | (~v90(constB85, bitIndex0))),
% 7.60/5.52 inference(unit_resolution,[status(thm)],[11724, 11723])).
% 7.60/5.52 tff(11726,plain,
% 7.60/5.52 ((~(v124(constB85) <=> (~(v90(constB85, bitIndex1) | (~v90(constB85, bitIndex2)) | (~v90(constB85, bitIndex0)))))) | (~v124(constB85)) | (~(v90(constB85, bitIndex1) | (~v90(constB85, bitIndex2)) | (~v90(constB85, bitIndex0))))),
% 7.60/5.52 inference(tautology,[status(thm)],[])).
% 7.60/5.52 tff(11727,plain,
% 7.60/5.52 (~v124(constB85)),
% 7.60/5.52 inference(unit_resolution,[status(thm)],[11726, 11725, 11705])).
% 7.60/5.52 tff(11728,plain,
% 7.60/5.52 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB85) <=> (~(v90(constB85, bitIndex1) | v90(constB85, bitIndex0) | (~v90(constB85, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB85) <=> (~(v90(constB85, bitIndex1) | v90(constB85, bitIndex0) | (~v90(constB85, bitIndex2))))))),
% 7.60/5.52 inference(rewrite,[status(thm)],[])).
% 7.60/5.52 tff(11729,plain,
% 7.60/5.52 ((v123(constB85) <=> (~(v90(constB85, bitIndex0) | v90(constB85, bitIndex1) | (~v90(constB85, bitIndex2))))) <=> (v123(constB85) <=> (~(v90(constB85, bitIndex1) | v90(constB85, bitIndex0) | (~v90(constB85, bitIndex2)))))),
% 7.60/5.52 inference(rewrite,[status(thm)],[])).
% 7.60/5.52 tff(11730,plain,
% 7.60/5.52 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB85) <=> (~(v90(constB85, bitIndex0) | v90(constB85, bitIndex1) | (~v90(constB85, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB85) <=> (~(v90(constB85, bitIndex1) | v90(constB85, bitIndex0) | (~v90(constB85, bitIndex2))))))),
% 7.60/5.52 inference(monotonicity,[status(thm)],[11729])).
% 7.60/5.52 tff(11731,plain,
% 7.60/5.52 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB85) <=> (~(v90(constB85, bitIndex0) | v90(constB85, bitIndex1) | (~v90(constB85, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB85) <=> (~(v90(constB85, bitIndex1) | v90(constB85, bitIndex0) | (~v90(constB85, bitIndex2))))))),
% 7.60/5.52 inference(transitivity,[status(thm)],[11730, 11728])).
% 7.60/5.52 tff(11732,plain,
% 7.60/5.52 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB85) <=> (~(v90(constB85, bitIndex0) | v90(constB85, bitIndex1) | (~v90(constB85, bitIndex2)))))),
% 7.60/5.52 inference(quant_inst,[status(thm)],[])).
% 7.60/5.52 tff(11733,plain,
% 7.60/5.52 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB85) <=> (~(v90(constB85, bitIndex1) | v90(constB85, bitIndex0) | (~v90(constB85, bitIndex2)))))),
% 7.60/5.52 inference(modus_ponens,[status(thm)],[11732, 11731])).
% 7.60/5.52 tff(11734,plain,
% 7.60/5.52 (v123(constB85) <=> (~(v90(constB85, bitIndex1) | v90(constB85, bitIndex0) | (~v90(constB85, bitIndex2))))),
% 7.60/5.52 inference(unit_resolution,[status(thm)],[11733, 800])).
% 7.60/5.52 tff(11735,plain,
% 7.60/5.52 ((v90(constB85, bitIndex1) | v90(constB85, bitIndex0) | (~v90(constB85, bitIndex2))) | (~v90(constB85, bitIndex1))),
% 7.60/5.52 inference(tautology,[status(thm)],[])).
% 7.60/5.52 tff(11736,plain,
% 7.60/5.52 (v90(constB85, bitIndex1) | v90(constB85, bitIndex0) | (~v90(constB85, bitIndex2))),
% 7.60/5.52 inference(unit_resolution,[status(thm)],[11735, 11723])).
% 7.60/5.52 tff(11737,plain,
% 7.60/5.52 ((~(v123(constB85) <=> (~(v90(constB85, bitIndex1) | v90(constB85, bitIndex0) | (~v90(constB85, bitIndex2)))))) | (~v123(constB85)) | (~(v90(constB85, bitIndex1) | v90(constB85, bitIndex0) | (~v90(constB85, bitIndex2))))),
% 7.60/5.52 inference(tautology,[status(thm)],[])).
% 7.60/5.52 tff(11738,plain,
% 7.60/5.52 (~v123(constB85)),
% 7.60/5.52 inference(unit_resolution,[status(thm)],[11737, 11736, 11734])).
% 7.60/5.52 tff(11739,plain,
% 7.60/5.52 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB85) <=> (~(v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB85) <=> (~(v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex0))))))),
% 7.60/5.53 inference(rewrite,[status(thm)],[])).
% 7.60/5.53 tff(11740,plain,
% 7.60/5.53 ((v122(constB85) <=> (~(v90(constB85, bitIndex2) | (~v90(constB85, bitIndex0)) | (~v90(constB85, bitIndex1))))) <=> (v122(constB85) <=> (~(v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex0)))))),
% 7.60/5.53 inference(rewrite,[status(thm)],[])).
% 7.60/5.53 tff(11741,plain,
% 7.60/5.53 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB85) <=> (~(v90(constB85, bitIndex2) | (~v90(constB85, bitIndex0)) | (~v90(constB85, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB85) <=> (~(v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex0))))))),
% 7.60/5.53 inference(monotonicity,[status(thm)],[11740])).
% 7.60/5.53 tff(11742,plain,
% 7.60/5.53 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB85) <=> (~(v90(constB85, bitIndex2) | (~v90(constB85, bitIndex0)) | (~v90(constB85, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB85) <=> (~(v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex0))))))),
% 7.60/5.53 inference(transitivity,[status(thm)],[11741, 11739])).
% 7.60/5.53 tff(11743,plain,
% 7.60/5.53 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB85) <=> (~(v90(constB85, bitIndex2) | (~v90(constB85, bitIndex0)) | (~v90(constB85, bitIndex1)))))),
% 7.60/5.53 inference(quant_inst,[status(thm)],[])).
% 7.60/5.53 tff(11744,plain,
% 7.60/5.53 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB85) <=> (~(v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex0)))))),
% 7.60/5.53 inference(modus_ponens,[status(thm)],[11743, 11742])).
% 7.60/5.53 tff(11745,plain,
% 7.60/5.53 (v122(constB85) <=> (~(v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex0))))),
% 7.60/5.53 inference(unit_resolution,[status(thm)],[11744, 879])).
% 7.60/5.53 tff(11746,plain,
% 7.60/5.53 ((v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex0))) | (~v90(constB85, bitIndex2))),
% 7.60/5.53 inference(tautology,[status(thm)],[])).
% 7.60/5.53 tff(11747,plain,
% 7.60/5.53 (v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex0))),
% 7.60/5.53 inference(unit_resolution,[status(thm)],[11746, 11694])).
% 7.60/5.53 tff(11748,plain,
% 7.60/5.53 ((~(v122(constB85) <=> (~(v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex0)))))) | (~v122(constB85)) | (~(v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex0))))),
% 7.60/5.53 inference(tautology,[status(thm)],[])).
% 7.60/5.53 tff(11749,plain,
% 7.60/5.53 (~v122(constB85)),
% 7.60/5.53 inference(unit_resolution,[status(thm)],[11748, 11747, 11745])).
% 7.60/5.53 tff(11750,plain,
% 7.60/5.53 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB85) <=> (~(v90(constB85, bitIndex2) | v90(constB85, bitIndex0) | (~v90(constB85, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB85) <=> (~(v90(constB85, bitIndex2) | v90(constB85, bitIndex0) | (~v90(constB85, bitIndex1))))))),
% 7.60/5.53 inference(rewrite,[status(thm)],[])).
% 7.60/5.53 tff(11751,plain,
% 7.60/5.53 ((v121(constB85) <=> (~(v90(constB85, bitIndex0) | v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1))))) <=> (v121(constB85) <=> (~(v90(constB85, bitIndex2) | v90(constB85, bitIndex0) | (~v90(constB85, bitIndex1)))))),
% 7.60/5.53 inference(rewrite,[status(thm)],[])).
% 7.60/5.53 tff(11752,plain,
% 7.60/5.53 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB85) <=> (~(v90(constB85, bitIndex0) | v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB85) <=> (~(v90(constB85, bitIndex2) | v90(constB85, bitIndex0) | (~v90(constB85, bitIndex1))))))),
% 7.60/5.53 inference(monotonicity,[status(thm)],[11751])).
% 7.60/5.53 tff(11753,plain,
% 7.60/5.53 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB85) <=> (~(v90(constB85, bitIndex0) | v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB85) <=> (~(v90(constB85, bitIndex2) | v90(constB85, bitIndex0) | (~v90(constB85, bitIndex1))))))),
% 7.60/5.53 inference(transitivity,[status(thm)],[11752, 11750])).
% 7.60/5.53 tff(11754,plain,
% 7.60/5.53 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB85) <=> (~(v90(constB85, bitIndex0) | v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1)))))),
% 7.60/5.53 inference(quant_inst,[status(thm)],[])).
% 7.60/5.53 tff(11755,plain,
% 7.60/5.53 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB85) <=> (~(v90(constB85, bitIndex2) | v90(constB85, bitIndex0) | (~v90(constB85, bitIndex1)))))),
% 7.60/5.53 inference(modus_ponens,[status(thm)],[11754, 11753])).
% 7.60/5.53 tff(11756,plain,
% 7.60/5.53 (v121(constB85) <=> (~(v90(constB85, bitIndex2) | v90(constB85, bitIndex0) | (~v90(constB85, bitIndex1))))),
% 7.60/5.53 inference(unit_resolution,[status(thm)],[11755, 586])).
% 7.60/5.53 tff(11757,plain,
% 7.60/5.53 ((v90(constB85, bitIndex2) | v90(constB85, bitIndex0) | (~v90(constB85, bitIndex1))) | (~v90(constB85, bitIndex2))),
% 7.60/5.53 inference(tautology,[status(thm)],[])).
% 7.60/5.53 tff(11758,plain,
% 7.60/5.53 (v90(constB85, bitIndex2) | v90(constB85, bitIndex0) | (~v90(constB85, bitIndex1))),
% 7.60/5.53 inference(unit_resolution,[status(thm)],[11757, 11694])).
% 7.60/5.53 tff(11759,plain,
% 7.60/5.53 ((~(v121(constB85) <=> (~(v90(constB85, bitIndex2) | v90(constB85, bitIndex0) | (~v90(constB85, bitIndex1)))))) | (~v121(constB85)) | (~(v90(constB85, bitIndex2) | v90(constB85, bitIndex0) | (~v90(constB85, bitIndex1))))),
% 7.60/5.53 inference(tautology,[status(thm)],[])).
% 7.60/5.53 tff(11760,plain,
% 7.60/5.53 (~v121(constB85)),
% 7.60/5.53 inference(unit_resolution,[status(thm)],[11759, 11758, 11756])).
% 7.60/5.53 tff(11761,plain,
% 7.60/5.53 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB85) <=> (~(v90(constB85, bitIndex1) | v90(constB85, bitIndex2) | (~v90(constB85, bitIndex0)))))),
% 7.60/5.53 inference(quant_inst,[status(thm)],[])).
% 7.60/5.53 tff(11762,plain,
% 7.60/5.53 (v120(constB85) <=> (~(v90(constB85, bitIndex1) | v90(constB85, bitIndex2) | (~v90(constB85, bitIndex0))))),
% 7.60/5.53 inference(unit_resolution,[status(thm)],[11761, 665])).
% 7.60/5.53 tff(11763,plain,
% 7.60/5.53 ((v90(constB85, bitIndex1) | v90(constB85, bitIndex2) | (~v90(constB85, bitIndex0))) | (~v90(constB85, bitIndex2))),
% 7.60/5.53 inference(tautology,[status(thm)],[])).
% 7.60/5.53 tff(11764,plain,
% 7.60/5.53 (v90(constB85, bitIndex1) | v90(constB85, bitIndex2) | (~v90(constB85, bitIndex0))),
% 7.60/5.53 inference(unit_resolution,[status(thm)],[11763, 11694])).
% 7.60/5.53 tff(11765,plain,
% 7.60/5.53 ((~(v120(constB85) <=> (~(v90(constB85, bitIndex1) | v90(constB85, bitIndex2) | (~v90(constB85, bitIndex0)))))) | (~v120(constB85)) | (~(v90(constB85, bitIndex1) | v90(constB85, bitIndex2) | (~v90(constB85, bitIndex0))))),
% 7.60/5.53 inference(tautology,[status(thm)],[])).
% 7.60/5.53 tff(11766,plain,
% 7.60/5.53 (~v120(constB85)),
% 7.60/5.53 inference(unit_resolution,[status(thm)],[11765, 11764, 11762])).
% 7.60/5.53 tff(11767,plain,
% 7.60/5.53 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~(v130(constB85, bitIndex2) | v130(constB85, bitIndex1) | (~v130(constB85, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~(v130(constB85, bitIndex2) | v130(constB85, bitIndex1) | (~v130(constB85, bitIndex0)))))),
% 7.60/5.53 inference(rewrite,[status(thm)],[])).
% 7.60/5.53 tff(11768,plain,
% 7.60/5.53 ((v124(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v120(constB85) | v119(constB85) | (~(v130(constB85, bitIndex2) | v130(constB85, bitIndex1) | (~v130(constB85, bitIndex0))))) <=> (v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~(v130(constB85, bitIndex2) | v130(constB85, bitIndex1) | (~v130(constB85, bitIndex0)))))),
% 7.60/5.53 inference(rewrite,[status(thm)],[])).
% 7.60/5.53 tff(11769,plain,
% 7.60/5.53 ((~(v130(constB85, bitIndex1) | v130(constB85, bitIndex2) | (~v130(constB85, bitIndex0)))) <=> (~(v130(constB85, bitIndex2) | v130(constB85, bitIndex1) | (~v130(constB85, bitIndex0))))),
% 7.60/5.53 inference(rewrite,[status(thm)],[])).
% 7.60/5.53 tff(11770,plain,
% 7.60/5.53 ((v124(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v120(constB85) | v119(constB85) | (~(v130(constB85, bitIndex1) | v130(constB85, bitIndex2) | (~v130(constB85, bitIndex0))))) <=> (v124(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v120(constB85) | v119(constB85) | (~(v130(constB85, bitIndex2) | v130(constB85, bitIndex1) | (~v130(constB85, bitIndex0)))))),
% 7.60/5.53 inference(monotonicity,[status(thm)],[11769])).
% 7.60/5.53 tff(11771,plain,
% 7.60/5.53 ((v124(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v120(constB85) | v119(constB85) | (~(v130(constB85, bitIndex1) | v130(constB85, bitIndex2) | (~v130(constB85, bitIndex0))))) <=> (v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~(v130(constB85, bitIndex2) | v130(constB85, bitIndex1) | (~v130(constB85, bitIndex0)))))),
% 7.60/5.53 inference(transitivity,[status(thm)],[11770, 11768])).
% 7.60/5.53 tff(11772,plain,
% 7.60/5.53 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v120(constB85) | v119(constB85) | (~(v130(constB85, bitIndex1) | v130(constB85, bitIndex2) | (~v130(constB85, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~(v130(constB85, bitIndex2) | v130(constB85, bitIndex1) | (~v130(constB85, bitIndex0))))))),
% 7.60/5.53 inference(monotonicity,[status(thm)],[11771])).
% 7.60/5.53 tff(11773,plain,
% 7.60/5.53 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v120(constB85) | v119(constB85) | (~(v130(constB85, bitIndex1) | v130(constB85, bitIndex2) | (~v130(constB85, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~(v130(constB85, bitIndex2) | v130(constB85, bitIndex1) | (~v130(constB85, bitIndex0)))))),
% 7.60/5.53 inference(transitivity,[status(thm)],[11772, 11767])).
% 7.60/5.53 tff(11774,plain,
% 7.60/5.53 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB85) | v123(constB85) | v122(constB85) | v121(constB85) | v120(constB85) | v119(constB85) | (~(v130(constB85, bitIndex1) | v130(constB85, bitIndex2) | (~v130(constB85, bitIndex0)))))),
% 7.60/5.53 inference(quant_inst,[status(thm)],[])).
% 7.60/5.53 tff(11775,plain,
% 7.60/5.53 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~(v130(constB85, bitIndex2) | v130(constB85, bitIndex1) | (~v130(constB85, bitIndex0))))),
% 7.60/5.53 inference(modus_ponens,[status(thm)],[11774, 11773])).
% 7.60/5.53 tff(11776,plain,
% 7.60/5.53 (v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~(v130(constB85, bitIndex2) | v130(constB85, bitIndex1) | (~v130(constB85, bitIndex0))))),
% 7.60/5.53 inference(unit_resolution,[status(thm)],[11775, 3694])).
% 7.60/5.53 tff(11777,plain,
% 7.60/5.53 (~(v130(constB85, bitIndex2) | v130(constB85, bitIndex1) | (~v130(constB85, bitIndex0)))),
% 7.60/5.53 inference(unit_resolution,[status(thm)],[11776, 11766, 11760, 11749, 11738, 11727, 11698])).
% 7.60/5.53 tff(11778,plain,
% 7.60/5.53 ((v130(constB85, bitIndex2) | v130(constB85, bitIndex1) | (~v130(constB85, bitIndex0))) | (~v130(constB85, bitIndex2))),
% 7.60/5.53 inference(tautology,[status(thm)],[])).
% 7.60/5.53 tff(11779,plain,
% 7.60/5.53 (~v130(constB85, bitIndex2)),
% 7.60/5.53 inference(unit_resolution,[status(thm)],[11778, 11777])).
% 7.60/5.53 tff(11780,plain,
% 7.60/5.53 (((~v127(constB85, bitIndex2)) <=> v130(constB85, bitIndex2)) | (~v127(constB85, bitIndex2)) | v130(constB85, bitIndex2)),
% 7.60/5.53 inference(tautology,[status(thm)],[])).
% 7.60/5.53 tff(11781,plain,
% 7.60/5.53 (~v127(constB85, bitIndex2)),
% 7.60/5.53 inference(unit_resolution,[status(thm)],[11780, 11779, 11313])).
% 7.60/5.53 tff(11782,plain,
% 7.60/5.53 (((~v129(constB86, bitIndex2)) <=> v127(constB85, bitIndex2)) | (~v129(constB86, bitIndex2)) | v127(constB85, bitIndex2)),
% 7.60/5.53 inference(tautology,[status(thm)],[])).
% 7.60/5.53 tff(11783,plain,
% 7.60/5.53 (~v129(constB86, bitIndex2)),
% 7.60/5.53 inference(unit_resolution,[status(thm)],[11782, 11781, 11299])).
% 7.60/5.53 tff(11784,plain,
% 7.60/5.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB85, constB86)) | (v100(constB86) <=> (~((~v101(constB86)) | (~v110(constB86))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB85, constB86)) | (v100(constB86) <=> (~((~v101(constB86)) | (~v110(constB86))))))),
% 7.60/5.53 inference(rewrite,[status(thm)],[])).
% 7.60/5.53 tff(11785,plain,
% 7.60/5.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB85, constB86)) | (v100(constB86) <=> (~((~v101(constB86)) | (~v110(constB86))))))),
% 7.60/5.53 inference(quant_inst,[status(thm)],[])).
% 7.60/5.53 tff(11786,plain,
% 7.60/5.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB85, constB86)) | (v100(constB86) <=> (~((~v101(constB86)) | (~v110(constB86)))))),
% 7.60/5.53 inference(modus_ponens,[status(thm)],[11785, 11784])).
% 7.60/5.53 tff(11787,plain,
% 7.60/5.53 (v100(constB86) <=> (~((~v101(constB86)) | (~v110(constB86))))),
% 7.60/5.53 inference(unit_resolution,[status(thm)],[11786, 11293, 445])).
% 7.60/5.53 tff(11788,plain,
% 7.60/5.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB85, constB86)) | (v101(constB86) <=> (~((~v1(constB86)) | (~v102(constB86))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB85, constB86)) | (v101(constB86) <=> (~((~v1(constB86)) | (~v102(constB86))))))),
% 7.60/5.53 inference(rewrite,[status(thm)],[])).
% 7.60/5.53 tff(11789,plain,
% 7.60/5.53 (((~nextState(constB85, constB86)) | (v101(constB86) <=> (~((~v102(constB86)) | (~v1(constB86)))))) <=> ((~nextState(constB85, constB86)) | (v101(constB86) <=> (~((~v1(constB86)) | (~v102(constB86))))))),
% 7.60/5.53 inference(rewrite,[status(thm)],[])).
% 7.60/5.53 tff(11790,plain,
% 7.60/5.53 (((~![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) <=> (~((~v1(constB86)) | (~v102(constB86)))))))),
% 7.60/5.53 inference(monotonicity,[status(thm)],[11789])).
% 7.60/5.53 tff(11791,plain,
% 7.60/5.53 (((~![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) <=> (~((~v1(constB86)) | (~v102(constB86))))))),
% 7.60/5.53 inference(transitivity,[status(thm)],[11790, 11788])).
% 7.60/5.53 tff(11792,plain,
% 7.60/5.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB85, constB86)) | (v101(constB86) <=> (~((~v102(constB86)) | (~v1(constB86))))))),
% 7.60/5.53 inference(quant_inst,[status(thm)],[])).
% 7.60/5.53 tff(11793,plain,
% 7.60/5.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB85, constB86)) | (v101(constB86) <=> (~((~v1(constB86)) | (~v102(constB86)))))),
% 7.60/5.53 inference(modus_ponens,[status(thm)],[11792, 11791])).
% 7.60/5.53 tff(11794,plain,
% 7.60/5.53 (v101(constB86) <=> (~((~v1(constB86)) | (~v102(constB86))))),
% 7.60/5.53 inference(unit_resolution,[status(thm)],[11793, 11293, 465])).
% 7.60/5.53 tff(11795,plain,
% 7.60/5.53 (((~![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)))),
% 7.60/5.53 inference(rewrite,[status(thm)],[])).
% 7.60/5.53 tff(11796,plain,
% 7.60/5.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB85, constB86)) | ((~v102(constB86)) <=> v104(constB86)))),
% 7.60/5.53 inference(quant_inst,[status(thm)],[])).
% 7.60/5.53 tff(11797,plain,
% 7.60/5.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB85, constB86)) | ((~v102(constB86)) <=> v104(constB86))),
% 7.60/5.53 inference(modus_ponens,[status(thm)],[11796, 11795])).
% 7.60/5.53 tff(11798,plain,
% 7.60/5.53 ((~v102(constB86)) <=> v104(constB86)),
% 7.60/5.53 inference(unit_resolution,[status(thm)],[11797, 11293, 3244])).
% 7.60/5.53 tff(11799,plain,
% 7.60/5.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB85, constB86)) | (v104(constB86) <=> v1(constB85)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB85, constB86)) | (v104(constB86) <=> v1(constB85)))),
% 7.60/5.53 inference(rewrite,[status(thm)],[])).
% 7.60/5.53 tff(11800,plain,
% 7.60/5.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB85, constB86)) | (v104(constB86) <=> v1(constB85)))),
% 7.60/5.53 inference(quant_inst,[status(thm)],[])).
% 7.60/5.53 tff(11801,plain,
% 7.60/5.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB85, constB86)) | (v104(constB86) <=> v1(constB85))),
% 7.60/5.53 inference(modus_ponens,[status(thm)],[11800, 11799])).
% 7.60/5.53 tff(11802,plain,
% 7.60/5.53 (v104(constB86) <=> v1(constB85)),
% 7.60/5.53 inference(unit_resolution,[status(thm)],[11801, 11293, 3258])).
% 7.60/5.53 tff(11803,plain,
% 7.60/5.53 ((~(v104(constB86) <=> v1(constB85))) | (~v104(constB86)) | v1(constB85)),
% 7.60/5.53 inference(tautology,[status(thm)],[])).
% 7.60/5.53 tff(11804,plain,
% 7.60/5.53 ((~(v104(constB86) <=> v1(constB85))) | (~v104(constB86))),
% 7.60/5.53 inference(unit_resolution,[status(thm)],[11803, 11332])).
% 7.60/5.53 tff(11805,plain,
% 7.60/5.53 (~v104(constB86)),
% 7.60/5.53 inference(unit_resolution,[status(thm)],[11804, 11802])).
% 7.60/5.53 tff(11806,plain,
% 7.60/5.53 ((~((~v102(constB86)) <=> v104(constB86))) | v102(constB86) | v104(constB86)),
% 7.60/5.53 inference(tautology,[status(thm)],[])).
% 7.60/5.53 tff(11807,plain,
% 7.60/5.53 (v102(constB86)),
% 7.60/5.53 inference(unit_resolution,[status(thm)],[11806, 11805, 11798])).
% 7.60/5.53 tff(11808,plain,
% 7.60/5.53 (v1(constB86) <=> v1(constB86)),
% 7.60/5.53 inference(rewrite,[status(thm)],[])).
% 7.60/5.53 tff(11809,axiom,(v1(constB86)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_86')).
% 7.60/5.53 tff(11810,plain,
% 7.60/5.53 (v1(constB86)),
% 7.60/5.53 inference(modus_ponens,[status(thm)],[11809, 11808])).
% 7.60/5.53 tff(11811,plain,
% 7.60/5.53 ((~((~v1(constB86)) | (~v102(constB86)))) | (~v1(constB86)) | (~v102(constB86))),
% 7.60/5.53 inference(tautology,[status(thm)],[])).
% 7.60/5.53 tff(11812,plain,
% 7.60/5.53 ((~((~v1(constB86)) | (~v102(constB86)))) | (~v102(constB86))),
% 7.60/5.53 inference(unit_resolution,[status(thm)],[11811, 11810])).
% 7.60/5.53 tff(11813,plain,
% 7.60/5.53 (~((~v1(constB86)) | (~v102(constB86)))),
% 7.60/5.53 inference(unit_resolution,[status(thm)],[11812, 11807])).
% 7.60/5.53 tff(11814,plain,
% 7.60/5.53 ((~(v101(constB86) <=> (~((~v1(constB86)) | (~v102(constB86)))))) | v101(constB86) | ((~v1(constB86)) | (~v102(constB86)))),
% 7.60/5.53 inference(tautology,[status(thm)],[])).
% 7.60/5.53 tff(11815,plain,
% 7.60/5.53 (v101(constB86)),
% 7.60/5.53 inference(unit_resolution,[status(thm)],[11814, 11813, 11794])).
% 7.60/5.53 tff(11816,plain,
% 7.60/5.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB85, constB86)) | (v110(constB86) <=> v108(constB85)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB85, constB86)) | (v110(constB86) <=> v108(constB85)))),
% 7.60/5.53 inference(rewrite,[status(thm)],[])).
% 7.60/5.53 tff(11817,plain,
% 7.60/5.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB85, constB86)) | (v110(constB86) <=> v108(constB85)))),
% 7.60/5.53 inference(quant_inst,[status(thm)],[])).
% 7.60/5.53 tff(11818,plain,
% 7.60/5.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB85, constB86)) | (v110(constB86) <=> v108(constB85))),
% 7.60/5.53 inference(modus_ponens,[status(thm)],[11817, 11816])).
% 7.60/5.53 tff(11819,plain,
% 7.60/5.53 (v110(constB86) <=> v108(constB85)),
% 7.60/5.53 inference(unit_resolution,[status(thm)],[11818, 11293, 3285])).
% 7.60/5.53 tff(11820,plain,
% 7.60/5.53 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB85) <=> (v111(constB85) | v112(constB85)))),
% 7.60/5.53 inference(quant_inst,[status(thm)],[])).
% 7.60/5.53 tff(11821,plain,
% 7.60/5.53 (v108(constB85) <=> (v111(constB85) | v112(constB85))),
% 7.60/5.53 inference(unit_resolution,[status(thm)],[11820, 3296])).
% 7.60/5.53 tff(11822,plain,
% 7.60/5.53 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB85) <=> (~((~v113(constB85)) | (~v126(constB85)))))),
% 7.60/5.53 inference(quant_inst,[status(thm)],[])).
% 7.60/5.53 tff(11823,plain,
% 7.60/5.53 (v112(constB85) <=> (~((~v113(constB85)) | (~v126(constB85))))),
% 7.60/5.53 inference(unit_resolution,[status(thm)],[11822, 3308])).
% 7.60/5.53 tff(11824,plain,
% 7.60/5.53 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB85) <=> (v114(constB85) | v125(constB85)))),
% 7.60/5.53 inference(quant_inst,[status(thm)],[])).
% 7.60/5.53 tff(11825,plain,
% 7.60/5.53 (v113(constB85) <=> (v114(constB85) | v125(constB85))),
% 7.60/5.53 inference(unit_resolution,[status(thm)],[11824, 3317])).
% 7.60/5.53 tff(11826,plain,
% 7.60/5.53 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB85) <=> (~(v90(constB85, bitIndex0) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex2)))))),
% 7.60/5.53 inference(quant_inst,[status(thm)],[])).
% 7.60/5.53 tff(11827,plain,
% 7.60/5.53 (v125(constB85) <=> (~(v90(constB85, bitIndex0) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex2))))),
% 7.60/5.53 inference(unit_resolution,[status(thm)],[11826, 3766])).
% 7.60/5.53 tff(11828,plain,
% 7.60/5.53 ((((~v90(constB85, bitIndex1)) <=> v90(constB84, bitIndex1)) | ((~v90(constB85, bitIndex2)) <=> v90(constB84, bitIndex2)) | ((~v90(constB85, bitIndex0)) <=> v90(constB84, bitIndex0))) | (~((~v90(constB85, bitIndex0)) <=> v90(constB84, bitIndex0)))),
% 7.60/5.53 inference(tautology,[status(thm)],[])).
% 7.60/5.53 tff(11829,plain,
% 7.60/5.53 (~((~v90(constB85, bitIndex0)) <=> v90(constB84, bitIndex0))),
% 7.60/5.53 inference(unit_resolution,[status(thm)],[11828, 11349])).
% 7.60/5.53 tff(11830,plain,
% 7.60/5.53 ((((~v129(constB84, bitIndex2)) <=> v127(constB83, bitIndex2)) | ((~v129(constB84, bitIndex1)) <=> v127(constB83, bitIndex1)) | ((~v129(constB84, bitIndex0)) <=> v127(constB83, bitIndex0))) | (~((~v129(constB84, bitIndex0)) <=> v127(constB83, bitIndex0)))),
% 7.60/5.53 inference(tautology,[status(thm)],[])).
% 7.60/5.53 tff(11831,plain,
% 7.60/5.53 (~((~v129(constB84, bitIndex0)) <=> v127(constB83, bitIndex0))),
% 7.60/5.53 inference(unit_resolution,[status(thm)],[11830, 11358])).
% 7.60/5.53 tff(11832,plain,
% 7.60/5.53 ((((~v127(constB83, bitIndex2)) <=> v130(constB83, bitIndex2)) | ((~v127(constB83, bitIndex1)) <=> v130(constB83, bitIndex1)) | ((~v127(constB83, bitIndex0)) <=> v130(constB83, bitIndex0))) | (~((~v127(constB83, bitIndex0)) <=> v130(constB83, bitIndex0)))),
% 7.60/5.53 inference(tautology,[status(thm)],[])).
% 7.60/5.53 tff(11833,plain,
% 7.60/5.53 (~((~v127(constB83, bitIndex0)) <=> v130(constB83, bitIndex0))),
% 7.60/5.53 inference(unit_resolution,[status(thm)],[11832, 11372])).
% 7.60/5.53 tff(11834,plain,
% 7.60/5.53 ((v130(constB83, bitIndex0) | (~v130(constB83, bitIndex2)) | (~v130(constB83, bitIndex1))) | (~v130(constB83, bitIndex0))),
% 7.60/5.53 inference(tautology,[status(thm)],[])).
% 7.60/5.53 tff(11835,plain,
% 7.60/5.53 (~v130(constB83, bitIndex0)),
% 7.60/5.53 inference(unit_resolution,[status(thm)],[11834, 11599])).
% 7.60/5.53 tff(11836,plain,
% 7.60/5.53 (((~v127(constB83, bitIndex0)) <=> v130(constB83, bitIndex0)) | (~v127(constB83, bitIndex0)) | v130(constB83, bitIndex0)),
% 7.60/5.53 inference(tautology,[status(thm)],[])).
% 7.60/5.53 tff(11837,plain,
% 7.60/5.53 (~v127(constB83, bitIndex0)),
% 7.60/5.53 inference(unit_resolution,[status(thm)],[11836, 11835, 11833])).
% 7.60/5.53 tff(11838,plain,
% 7.60/5.53 (((~v129(constB84, bitIndex0)) <=> v127(constB83, bitIndex0)) | (~v129(constB84, bitIndex0)) | v127(constB83, bitIndex0)),
% 7.60/5.53 inference(tautology,[status(thm)],[])).
% 7.60/5.53 tff(11839,plain,
% 7.60/5.53 (~v129(constB84, bitIndex0)),
% 7.60/5.53 inference(unit_resolution,[status(thm)],[11838, 11837, 11831])).
% 7.60/5.53 tff(11840,plain,
% 7.60/5.53 ((((~v90(constB84, bitIndex2)) <=> v129(constB84, bitIndex2)) | ((~v90(constB84, bitIndex1)) <=> v129(constB84, bitIndex1)) | ((~v90(constB84, bitIndex0)) <=> v129(constB84, bitIndex0))) | (~((~v90(constB84, bitIndex0)) <=> v129(constB84, bitIndex0)))),
% 7.60/5.53 inference(tautology,[status(thm)],[])).
% 7.60/5.53 tff(11841,plain,
% 7.60/5.53 (~((~v90(constB84, bitIndex0)) <=> v129(constB84, bitIndex0))),
% 7.60/5.53 inference(unit_resolution,[status(thm)],[11840, 11688])).
% 7.60/5.53 tff(11842,plain,
% 7.60/5.53 (((~v90(constB84, bitIndex0)) <=> v129(constB84, bitIndex0)) | (~v90(constB84, bitIndex0)) | v129(constB84, bitIndex0)),
% 7.60/5.53 inference(tautology,[status(thm)],[])).
% 7.60/5.53 tff(11843,plain,
% 7.60/5.53 (~v90(constB84, bitIndex0)),
% 7.60/5.53 inference(unit_resolution,[status(thm)],[11842, 11841, 11839])).
% 7.60/5.53 tff(11844,plain,
% 7.60/5.53 (((~v90(constB85, bitIndex0)) <=> v90(constB84, bitIndex0)) | (~v90(constB85, bitIndex0)) | v90(constB84, bitIndex0)),
% 7.60/5.53 inference(tautology,[status(thm)],[])).
% 7.60/5.53 tff(11845,plain,
% 7.60/5.53 (~v90(constB85, bitIndex0)),
% 7.60/5.53 inference(unit_resolution,[status(thm)],[11844, 11843, 11829])).
% 7.60/5.53 tff(11846,plain,
% 7.60/5.53 ((~(v90(constB85, bitIndex0) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex2)))) | v90(constB85, bitIndex0) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex2))),
% 7.60/5.53 inference(tautology,[status(thm)],[])).
% 7.60/5.53 tff(11847,plain,
% 7.60/5.53 (~(v90(constB85, bitIndex0) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex2)))),
% 7.60/5.53 inference(unit_resolution,[status(thm)],[11846, 11723, 11845, 11694])).
% 7.60/5.53 tff(11848,plain,
% 7.60/5.53 ((~(v125(constB85) <=> (~(v90(constB85, bitIndex0) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex2)))))) | v125(constB85) | (v90(constB85, bitIndex0) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex2)))),
% 7.60/5.53 inference(tautology,[status(thm)],[])).
% 7.60/5.53 tff(11849,plain,
% 7.60/5.53 (v125(constB85)),
% 7.60/5.53 inference(unit_resolution,[status(thm)],[11848, 11847, 11827])).
% 7.60/5.53 tff(11850,plain,
% 7.60/5.53 ((v114(constB85) | v125(constB85)) | (~v125(constB85))),
% 7.60/5.53 inference(tautology,[status(thm)],[])).
% 7.60/5.53 tff(11851,plain,
% 7.60/5.53 (v114(constB85) | v125(constB85)),
% 7.60/5.53 inference(unit_resolution,[status(thm)],[11850, 11849])).
% 7.60/5.53 tff(11852,plain,
% 7.60/5.53 ((~(v113(constB85) <=> (v114(constB85) | v125(constB85)))) | v113(constB85) | (~(v114(constB85) | v125(constB85)))),
% 7.60/5.53 inference(tautology,[status(thm)],[])).
% 7.60/5.53 tff(11853,plain,
% 7.60/5.53 (v113(constB85)),
% 7.60/5.53 inference(unit_resolution,[status(thm)],[11852, 11851, 11825])).
% 7.60/5.53 tff(11854,plain,
% 7.60/5.53 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB85)) <=> v111(constB85))),
% 7.60/5.53 inference(quant_inst,[status(thm)],[])).
% 7.60/5.53 tff(11855,plain,
% 7.60/5.53 ((~v126(constB85)) <=> v111(constB85)),
% 7.60/5.53 inference(unit_resolution,[status(thm)],[11854, 3396])).
% 7.60/5.53 tff(11856,plain,
% 7.60/5.53 ((~((~v126(constB85)) <=> v111(constB85))) | v126(constB85) | v111(constB85)),
% 7.60/5.53 inference(tautology,[status(thm)],[])).
% 7.60/5.53 tff(11857,plain,
% 7.60/5.53 ((~((~v126(constB85)) <=> v111(constB85))) | v126(constB85)),
% 7.60/5.53 inference(unit_resolution,[status(thm)],[11856, 11306])).
% 7.60/5.53 tff(11858,plain,
% 7.60/5.53 (v126(constB85)),
% 7.60/5.53 inference(unit_resolution,[status(thm)],[11857, 11855])).
% 7.60/5.53 tff(11859,plain,
% 7.60/5.53 ((~((~v113(constB85)) | (~v126(constB85)))) | (~v113(constB85)) | (~v126(constB85))),
% 7.60/5.53 inference(tautology,[status(thm)],[])).
% 7.60/5.53 tff(11860,plain,
% 7.60/5.53 ((~((~v113(constB85)) | (~v126(constB85)))) | (~v113(constB85))),
% 7.60/5.53 inference(unit_resolution,[status(thm)],[11859, 11858])).
% 7.60/5.53 tff(11861,plain,
% 7.60/5.53 (~((~v113(constB85)) | (~v126(constB85)))),
% 7.60/5.53 inference(unit_resolution,[status(thm)],[11860, 11853])).
% 7.60/5.53 tff(11862,plain,
% 7.60/5.53 ((~(v112(constB85) <=> (~((~v113(constB85)) | (~v126(constB85)))))) | v112(constB85) | ((~v113(constB85)) | (~v126(constB85)))),
% 7.60/5.53 inference(tautology,[status(thm)],[])).
% 7.60/5.53 tff(11863,plain,
% 7.60/5.53 (v112(constB85)),
% 7.60/5.53 inference(unit_resolution,[status(thm)],[11862, 11861, 11823])).
% 7.60/5.53 tff(11864,plain,
% 7.60/5.53 ((v111(constB85) | v112(constB85)) | (~v112(constB85))),
% 7.60/5.53 inference(tautology,[status(thm)],[])).
% 7.60/5.53 tff(11865,plain,
% 7.60/5.53 (v111(constB85) | v112(constB85)),
% 7.60/5.53 inference(unit_resolution,[status(thm)],[11864, 11863])).
% 7.60/5.53 tff(11866,plain,
% 7.60/5.53 ((~(v108(constB85) <=> (v111(constB85) | v112(constB85)))) | v108(constB85) | (~(v111(constB85) | v112(constB85)))),
% 7.60/5.53 inference(tautology,[status(thm)],[])).
% 7.60/5.53 tff(11867,plain,
% 7.60/5.53 (v108(constB85)),
% 7.60/5.53 inference(unit_resolution,[status(thm)],[11866, 11865, 11821])).
% 7.60/5.53 tff(11868,plain,
% 7.60/5.53 ((~(v110(constB86) <=> v108(constB85))) | v110(constB86) | (~v108(constB85))),
% 7.60/5.53 inference(tautology,[status(thm)],[])).
% 7.60/5.53 tff(11869,plain,
% 7.60/5.53 (v110(constB86)),
% 7.60/5.53 inference(unit_resolution,[status(thm)],[11868, 11867, 11819])).
% 7.60/5.53 tff(11870,plain,
% 7.60/5.53 ((~((~v101(constB86)) | (~v110(constB86)))) | (~v101(constB86)) | (~v110(constB86))),
% 7.60/5.53 inference(tautology,[status(thm)],[])).
% 7.60/5.53 tff(11871,plain,
% 7.60/5.53 (~((~v101(constB86)) | (~v110(constB86)))),
% 7.60/5.53 inference(unit_resolution,[status(thm)],[11870, 11869, 11815])).
% 7.60/5.53 tff(11872,plain,
% 7.60/5.53 ((~(v100(constB86) <=> (~((~v101(constB86)) | (~v110(constB86)))))) | v100(constB86) | ((~v101(constB86)) | (~v110(constB86)))),
% 7.60/5.53 inference(tautology,[status(thm)],[])).
% 7.60/5.53 tff(11873,plain,
% 7.60/5.53 (v100(constB86)),
% 7.60/5.53 inference(unit_resolution,[status(thm)],[11872, 11871, 11787])).
% 7.60/5.53 tff(11874,plain,
% 7.60/5.53 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB86)) | (~(((~v90(constB86, bitIndex0)) <=> v129(constB86, bitIndex0)) | ((~v90(constB86, bitIndex2)) <=> v129(constB86, bitIndex2)) | ((~v90(constB86, bitIndex1)) <=> v129(constB86, bitIndex1)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB86)) | (~(((~v90(constB86, bitIndex0)) <=> v129(constB86, bitIndex0)) | ((~v90(constB86, bitIndex2)) <=> v129(constB86, bitIndex2)) | ((~v90(constB86, bitIndex1)) <=> v129(constB86, bitIndex1)))))),
% 7.60/5.54 inference(rewrite,[status(thm)],[])).
% 7.60/5.54 tff(11875,plain,
% 7.60/5.54 (((~v100(constB86)) | (~(((~v90(constB86, bitIndex2)) <=> v129(constB86, bitIndex2)) | ((~v90(constB86, bitIndex1)) <=> v129(constB86, bitIndex1)) | ((~v90(constB86, bitIndex0)) <=> v129(constB86, bitIndex0))))) <=> ((~v100(constB86)) | (~(((~v90(constB86, bitIndex0)) <=> v129(constB86, bitIndex0)) | ((~v90(constB86, bitIndex2)) <=> v129(constB86, bitIndex2)) | ((~v90(constB86, bitIndex1)) <=> v129(constB86, bitIndex1)))))),
% 7.60/5.54 inference(rewrite,[status(thm)],[])).
% 7.60/5.54 tff(11876,plain,
% 7.60/5.54 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB86)) | (~(((~v90(constB86, bitIndex2)) <=> v129(constB86, bitIndex2)) | ((~v90(constB86, bitIndex1)) <=> v129(constB86, bitIndex1)) | ((~v90(constB86, bitIndex0)) <=> v129(constB86, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB86)) | (~(((~v90(constB86, bitIndex0)) <=> v129(constB86, bitIndex0)) | ((~v90(constB86, bitIndex2)) <=> v129(constB86, bitIndex2)) | ((~v90(constB86, bitIndex1)) <=> v129(constB86, bitIndex1))))))),
% 7.60/5.54 inference(monotonicity,[status(thm)],[11875])).
% 7.60/5.54 tff(11877,plain,
% 7.60/5.54 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB86)) | (~(((~v90(constB86, bitIndex2)) <=> v129(constB86, bitIndex2)) | ((~v90(constB86, bitIndex1)) <=> v129(constB86, bitIndex1)) | ((~v90(constB86, bitIndex0)) <=> v129(constB86, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB86)) | (~(((~v90(constB86, bitIndex0)) <=> v129(constB86, bitIndex0)) | ((~v90(constB86, bitIndex2)) <=> v129(constB86, bitIndex2)) | ((~v90(constB86, bitIndex1)) <=> v129(constB86, bitIndex1)))))),
% 7.60/5.54 inference(transitivity,[status(thm)],[11876, 11874])).
% 7.60/5.54 tff(11878,plain,
% 7.60/5.54 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB86)) | (~(((~v90(constB86, bitIndex2)) <=> v129(constB86, bitIndex2)) | ((~v90(constB86, bitIndex1)) <=> v129(constB86, bitIndex1)) | ((~v90(constB86, bitIndex0)) <=> v129(constB86, bitIndex0)))))),
% 7.60/5.54 inference(quant_inst,[status(thm)],[])).
% 7.60/5.54 tff(11879,plain,
% 7.60/5.54 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB86)) | (~(((~v90(constB86, bitIndex0)) <=> v129(constB86, bitIndex0)) | ((~v90(constB86, bitIndex2)) <=> v129(constB86, bitIndex2)) | ((~v90(constB86, bitIndex1)) <=> v129(constB86, bitIndex1))))),
% 7.60/5.54 inference(modus_ponens,[status(thm)],[11878, 11877])).
% 7.60/5.54 tff(11880,plain,
% 7.60/5.54 ((~v100(constB86)) | (~(((~v90(constB86, bitIndex0)) <=> v129(constB86, bitIndex0)) | ((~v90(constB86, bitIndex2)) <=> v129(constB86, bitIndex2)) | ((~v90(constB86, bitIndex1)) <=> v129(constB86, bitIndex1))))),
% 7.60/5.54 inference(unit_resolution,[status(thm)],[11879, 3429])).
% 7.60/5.54 tff(11881,plain,
% 7.60/5.54 (~(((~v90(constB86, bitIndex0)) <=> v129(constB86, bitIndex0)) | ((~v90(constB86, bitIndex2)) <=> v129(constB86, bitIndex2)) | ((~v90(constB86, bitIndex1)) <=> v129(constB86, bitIndex1)))),
% 7.60/5.54 inference(unit_resolution,[status(thm)],[11880, 11873])).
% 7.60/5.54 tff(11882,plain,
% 7.60/5.54 ((((~v90(constB86, bitIndex0)) <=> v129(constB86, bitIndex0)) | ((~v90(constB86, bitIndex2)) <=> v129(constB86, bitIndex2)) | ((~v90(constB86, bitIndex1)) <=> v129(constB86, bitIndex1))) | (~((~v90(constB86, bitIndex2)) <=> v129(constB86, bitIndex2)))),
% 7.60/5.54 inference(tautology,[status(thm)],[])).
% 7.60/5.54 tff(11883,plain,
% 7.60/5.54 (~((~v90(constB86, bitIndex2)) <=> v129(constB86, bitIndex2))),
% 7.60/5.54 inference(unit_resolution,[status(thm)],[11882, 11881])).
% 7.60/5.54 tff(11884,plain,
% 7.60/5.54 (((~v90(constB86, bitIndex2)) <=> v129(constB86, bitIndex2)) | (~v90(constB86, bitIndex2)) | v129(constB86, bitIndex2)),
% 7.60/5.54 inference(tautology,[status(thm)],[])).
% 7.60/5.54 tff(11885,plain,
% 7.60/5.54 (~v90(constB86, bitIndex2)),
% 7.60/5.54 inference(unit_resolution,[status(thm)],[11884, 11883, 11783])).
% 7.60/5.54 tff(11886,plain,
% 7.60/5.54 (((~v90(constB87, bitIndex2)) <=> v90(constB86, bitIndex2)) | (~v90(constB87, bitIndex2)) | v90(constB86, bitIndex2)),
% 7.60/5.54 inference(tautology,[status(thm)],[])).
% 7.60/5.54 tff(11887,plain,
% 7.60/5.54 (~v90(constB87, bitIndex2)),
% 7.60/5.54 inference(unit_resolution,[status(thm)],[11886, 11885, 11290])).
% 7.60/5.54 tff(11888,plain,
% 7.60/5.54 ((((~v90(constB87, bitIndex1)) <=> v90(constB86, bitIndex1)) | ((~v90(constB87, bitIndex2)) <=> v90(constB86, bitIndex2)) | ((~v90(constB87, bitIndex0)) <=> v90(constB86, bitIndex0))) | (~((~v90(constB87, bitIndex0)) <=> v90(constB86, bitIndex0)))),
% 7.60/5.54 inference(tautology,[status(thm)],[])).
% 7.60/5.54 tff(11889,plain,
% 7.60/5.54 (~((~v90(constB87, bitIndex0)) <=> v90(constB86, bitIndex0))),
% 7.60/5.54 inference(unit_resolution,[status(thm)],[11888, 11288])).
% 7.60/5.54 tff(11890,plain,
% 7.60/5.54 ((((~v129(constB86, bitIndex2)) <=> v127(constB85, bitIndex2)) | ((~v129(constB86, bitIndex1)) <=> v127(constB85, bitIndex1)) | ((~v129(constB86, bitIndex0)) <=> v127(constB85, bitIndex0))) | (~((~v129(constB86, bitIndex0)) <=> v127(constB85, bitIndex0)))),
% 7.60/5.54 inference(tautology,[status(thm)],[])).
% 7.60/5.54 tff(11891,plain,
% 7.60/5.54 (~((~v129(constB86, bitIndex0)) <=> v127(constB85, bitIndex0))),
% 7.60/5.54 inference(unit_resolution,[status(thm)],[11890, 11297])).
% 7.60/5.54 tff(11892,plain,
% 7.60/5.54 ((((~v127(constB85, bitIndex2)) <=> v130(constB85, bitIndex2)) | ((~v127(constB85, bitIndex1)) <=> v130(constB85, bitIndex1)) | ((~v127(constB85, bitIndex0)) <=> v130(constB85, bitIndex0))) | (~((~v127(constB85, bitIndex0)) <=> v130(constB85, bitIndex0)))),
% 7.60/5.54 inference(tautology,[status(thm)],[])).
% 7.60/5.54 tff(11893,plain,
% 7.60/5.54 (~((~v127(constB85, bitIndex0)) <=> v130(constB85, bitIndex0))),
% 7.60/5.54 inference(unit_resolution,[status(thm)],[11892, 11311])).
% 7.60/5.54 tff(11894,plain,
% 7.60/5.54 ((v130(constB85, bitIndex2) | v130(constB85, bitIndex1) | (~v130(constB85, bitIndex0))) | v130(constB85, bitIndex0)),
% 7.60/5.54 inference(tautology,[status(thm)],[])).
% 7.60/5.54 tff(11895,plain,
% 7.60/5.54 (v130(constB85, bitIndex0)),
% 7.60/5.54 inference(unit_resolution,[status(thm)],[11894, 11777])).
% 7.60/5.54 tff(11896,plain,
% 7.60/5.54 (((~v127(constB85, bitIndex0)) <=> v130(constB85, bitIndex0)) | v127(constB85, bitIndex0) | (~v130(constB85, bitIndex0))),
% 7.60/5.54 inference(tautology,[status(thm)],[])).
% 7.60/5.54 tff(11897,plain,
% 7.60/5.54 (v127(constB85, bitIndex0)),
% 7.60/5.54 inference(unit_resolution,[status(thm)],[11896, 11895, 11893])).
% 7.60/5.54 tff(11898,plain,
% 7.60/5.54 (((~v129(constB86, bitIndex0)) <=> v127(constB85, bitIndex0)) | v129(constB86, bitIndex0) | (~v127(constB85, bitIndex0))),
% 7.60/5.54 inference(tautology,[status(thm)],[])).
% 7.60/5.54 tff(11899,plain,
% 7.60/5.54 (v129(constB86, bitIndex0)),
% 7.60/5.54 inference(unit_resolution,[status(thm)],[11898, 11897, 11891])).
% 7.60/5.54 tff(11900,plain,
% 7.60/5.54 ((((~v90(constB86, bitIndex0)) <=> v129(constB86, bitIndex0)) | ((~v90(constB86, bitIndex2)) <=> v129(constB86, bitIndex2)) | ((~v90(constB86, bitIndex1)) <=> v129(constB86, bitIndex1))) | (~((~v90(constB86, bitIndex0)) <=> v129(constB86, bitIndex0)))),
% 7.60/5.54 inference(tautology,[status(thm)],[])).
% 7.60/5.54 tff(11901,plain,
% 7.60/5.54 (~((~v90(constB86, bitIndex0)) <=> v129(constB86, bitIndex0))),
% 7.60/5.54 inference(unit_resolution,[status(thm)],[11900, 11881])).
% 7.60/5.54 tff(11902,plain,
% 7.60/5.54 (((~v90(constB86, bitIndex0)) <=> v129(constB86, bitIndex0)) | v90(constB86, bitIndex0) | (~v129(constB86, bitIndex0))),
% 7.60/5.54 inference(tautology,[status(thm)],[])).
% 7.60/5.54 tff(11903,plain,
% 7.60/5.54 (v90(constB86, bitIndex0)),
% 7.60/5.54 inference(unit_resolution,[status(thm)],[11902, 11901, 11899])).
% 7.60/5.54 tff(11904,plain,
% 7.60/5.54 (((~v90(constB87, bitIndex0)) <=> v90(constB86, bitIndex0)) | v90(constB87, bitIndex0) | (~v90(constB86, bitIndex0))),
% 7.60/5.54 inference(tautology,[status(thm)],[])).
% 7.60/5.54 tff(11905,plain,
% 7.60/5.54 (v90(constB87, bitIndex0)),
% 7.60/5.54 inference(unit_resolution,[status(thm)],[11904, 11903, 11889])).
% 7.60/5.54 tff(11906,plain,
% 7.60/5.54 ((((~v90(constB87, bitIndex1)) <=> v90(constB86, bitIndex1)) | ((~v90(constB87, bitIndex2)) <=> v90(constB86, bitIndex2)) | ((~v90(constB87, bitIndex0)) <=> v90(constB86, bitIndex0))) | (~((~v90(constB87, bitIndex1)) <=> v90(constB86, bitIndex1)))),
% 7.60/5.54 inference(tautology,[status(thm)],[])).
% 7.60/5.54 tff(11907,plain,
% 7.60/5.54 (~((~v90(constB87, bitIndex1)) <=> v90(constB86, bitIndex1))),
% 7.60/5.54 inference(unit_resolution,[status(thm)],[11906, 11288])).
% 7.60/5.54 tff(11908,plain,
% 7.60/5.54 ((((~v129(constB86, bitIndex2)) <=> v127(constB85, bitIndex2)) | ((~v129(constB86, bitIndex1)) <=> v127(constB85, bitIndex1)) | ((~v129(constB86, bitIndex0)) <=> v127(constB85, bitIndex0))) | (~((~v129(constB86, bitIndex1)) <=> v127(constB85, bitIndex1)))),
% 7.60/5.54 inference(tautology,[status(thm)],[])).
% 7.60/5.54 tff(11909,plain,
% 7.60/5.54 (~((~v129(constB86, bitIndex1)) <=> v127(constB85, bitIndex1))),
% 7.60/5.54 inference(unit_resolution,[status(thm)],[11908, 11297])).
% 7.60/5.54 tff(11910,plain,
% 7.60/5.54 ((((~v127(constB85, bitIndex2)) <=> v130(constB85, bitIndex2)) | ((~v127(constB85, bitIndex1)) <=> v130(constB85, bitIndex1)) | ((~v127(constB85, bitIndex0)) <=> v130(constB85, bitIndex0))) | (~((~v127(constB85, bitIndex1)) <=> v130(constB85, bitIndex1)))),
% 7.60/5.54 inference(tautology,[status(thm)],[])).
% 7.60/5.54 tff(11911,plain,
% 7.60/5.54 (~((~v127(constB85, bitIndex1)) <=> v130(constB85, bitIndex1))),
% 7.60/5.54 inference(unit_resolution,[status(thm)],[11910, 11311])).
% 7.60/5.54 tff(11912,plain,
% 7.60/5.54 ((v130(constB85, bitIndex2) | v130(constB85, bitIndex1) | (~v130(constB85, bitIndex0))) | (~v130(constB85, bitIndex1))),
% 7.60/5.54 inference(tautology,[status(thm)],[])).
% 7.60/5.54 tff(11913,plain,
% 7.60/5.54 (~v130(constB85, bitIndex1)),
% 7.60/5.54 inference(unit_resolution,[status(thm)],[11912, 11777])).
% 7.60/5.54 tff(11914,plain,
% 7.60/5.54 (((~v127(constB85, bitIndex1)) <=> v130(constB85, bitIndex1)) | (~v127(constB85, bitIndex1)) | v130(constB85, bitIndex1)),
% 7.60/5.54 inference(tautology,[status(thm)],[])).
% 7.60/5.54 tff(11915,plain,
% 7.60/5.54 (~v127(constB85, bitIndex1)),
% 7.60/5.54 inference(unit_resolution,[status(thm)],[11914, 11913, 11911])).
% 7.60/5.54 tff(11916,plain,
% 7.60/5.54 (((~v129(constB86, bitIndex1)) <=> v127(constB85, bitIndex1)) | (~v129(constB86, bitIndex1)) | v127(constB85, bitIndex1)),
% 7.60/5.54 inference(tautology,[status(thm)],[])).
% 7.60/5.54 tff(11917,plain,
% 7.60/5.54 (~v129(constB86, bitIndex1)),
% 7.60/5.54 inference(unit_resolution,[status(thm)],[11916, 11915, 11909])).
% 7.60/5.54 tff(11918,plain,
% 7.60/5.54 ((((~v90(constB86, bitIndex0)) <=> v129(constB86, bitIndex0)) | ((~v90(constB86, bitIndex2)) <=> v129(constB86, bitIndex2)) | ((~v90(constB86, bitIndex1)) <=> v129(constB86, bitIndex1))) | (~((~v90(constB86, bitIndex1)) <=> v129(constB86, bitIndex1)))),
% 7.60/5.54 inference(tautology,[status(thm)],[])).
% 7.60/5.54 tff(11919,plain,
% 7.60/5.54 (~((~v90(constB86, bitIndex1)) <=> v129(constB86, bitIndex1))),
% 7.60/5.54 inference(unit_resolution,[status(thm)],[11918, 11881])).
% 7.60/5.54 tff(11920,plain,
% 7.60/5.54 (((~v90(constB86, bitIndex1)) <=> v129(constB86, bitIndex1)) | (~v90(constB86, bitIndex1)) | v129(constB86, bitIndex1)),
% 7.60/5.54 inference(tautology,[status(thm)],[])).
% 7.60/5.54 tff(11921,plain,
% 7.60/5.54 (~v90(constB86, bitIndex1)),
% 7.60/5.54 inference(unit_resolution,[status(thm)],[11920, 11919, 11917])).
% 7.60/5.54 tff(11922,plain,
% 7.60/5.54 (((~v90(constB87, bitIndex1)) <=> v90(constB86, bitIndex1)) | (~v90(constB87, bitIndex1)) | v90(constB86, bitIndex1)),
% 7.60/5.54 inference(tautology,[status(thm)],[])).
% 7.60/5.54 tff(11923,plain,
% 7.60/5.54 (~v90(constB87, bitIndex1)),
% 7.60/5.54 inference(unit_resolution,[status(thm)],[11922, 11921, 11907])).
% 7.60/5.54 tff(11924,plain,
% 7.60/5.54 ((~(v90(constB87, bitIndex1) | v90(constB87, bitIndex2) | (~v90(constB87, bitIndex0)))) | v90(constB87, bitIndex1) | v90(constB87, bitIndex2) | (~v90(constB87, bitIndex0))),
% 7.60/5.54 inference(tautology,[status(thm)],[])).
% 7.60/5.54 tff(11925,plain,
% 7.60/5.54 (~(v90(constB87, bitIndex1) | v90(constB87, bitIndex2) | (~v90(constB87, bitIndex0)))),
% 7.60/5.54 inference(unit_resolution,[status(thm)],[11924, 11923, 11905, 11887])).
% 7.60/5.54 tff(11926,plain,
% 7.60/5.54 ((~(v120(constB87) <=> (~(v90(constB87, bitIndex1) | v90(constB87, bitIndex2) | (~v90(constB87, bitIndex0)))))) | v120(constB87) | (v90(constB87, bitIndex1) | v90(constB87, bitIndex2) | (~v90(constB87, bitIndex0)))),
% 7.60/5.54 inference(tautology,[status(thm)],[])).
% 7.60/5.54 tff(11927,plain,
% 7.60/5.54 (v120(constB87)),
% 7.60/5.54 inference(unit_resolution,[status(thm)],[11926, 11925, 11254])).
% 7.60/5.54 tff(11928,plain,
% 7.60/5.54 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB87)) | (~(v130(constB87, bitIndex2) | v130(constB87, bitIndex0) | (~v130(constB87, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB87)) | (~(v130(constB87, bitIndex2) | v130(constB87, bitIndex0) | (~v130(constB87, bitIndex1)))))),
% 7.60/5.54 inference(rewrite,[status(thm)],[])).
% 7.60/5.54 tff(11929,plain,
% 7.60/5.54 (((~v120(constB87)) | (~(v130(constB87, bitIndex0) | v130(constB87, bitIndex2) | (~v130(constB87, bitIndex1))))) <=> ((~v120(constB87)) | (~(v130(constB87, bitIndex2) | v130(constB87, bitIndex0) | (~v130(constB87, bitIndex1)))))),
% 7.60/5.54 inference(rewrite,[status(thm)],[])).
% 7.60/5.54 tff(11930,plain,
% 7.60/5.54 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB87)) | (~(v130(constB87, bitIndex0) | v130(constB87, bitIndex2) | (~v130(constB87, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB87)) | (~(v130(constB87, bitIndex2) | v130(constB87, bitIndex0) | (~v130(constB87, bitIndex1))))))),
% 7.60/5.54 inference(monotonicity,[status(thm)],[11929])).
% 7.60/5.54 tff(11931,plain,
% 7.60/5.54 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB87)) | (~(v130(constB87, bitIndex0) | v130(constB87, bitIndex2) | (~v130(constB87, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB87)) | (~(v130(constB87, bitIndex2) | v130(constB87, bitIndex0) | (~v130(constB87, bitIndex1)))))),
% 7.60/5.54 inference(transitivity,[status(thm)],[11930, 11928])).
% 7.60/5.54 tff(11932,plain,
% 7.60/5.54 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB87)) | (~(v130(constB87, bitIndex0) | v130(constB87, bitIndex2) | (~v130(constB87, bitIndex1)))))),
% 7.60/5.54 inference(quant_inst,[status(thm)],[])).
% 7.60/5.54 tff(11933,plain,
% 7.60/5.54 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB87)) | (~(v130(constB87, bitIndex2) | v130(constB87, bitIndex0) | (~v130(constB87, bitIndex1))))),
% 7.60/5.54 inference(modus_ponens,[status(thm)],[11932, 11931])).
% 7.60/5.54 tff(11934,plain,
% 7.60/5.54 ((~v120(constB87)) | (~(v130(constB87, bitIndex2) | v130(constB87, bitIndex0) | (~v130(constB87, bitIndex1))))),
% 7.60/5.54 inference(unit_resolution,[status(thm)],[11933, 3881])).
% 7.60/5.54 tff(11935,plain,
% 7.60/5.54 (~(v130(constB87, bitIndex2) | v130(constB87, bitIndex0) | (~v130(constB87, bitIndex1)))),
% 7.60/5.54 inference(unit_resolution,[status(thm)],[11934, 11927])).
% 7.60/5.54 tff(11936,plain,
% 7.60/5.54 ((v130(constB87, bitIndex2) | v130(constB87, bitIndex0) | (~v130(constB87, bitIndex1))) | (~v130(constB87, bitIndex2))),
% 7.60/5.54 inference(tautology,[status(thm)],[])).
% 7.60/5.54 tff(11937,plain,
% 7.60/5.54 (~v130(constB87, bitIndex2)),
% 7.60/5.54 inference(unit_resolution,[status(thm)],[11936, 11935])).
% 7.60/5.54 tff(11938,plain,
% 7.60/5.54 (((~v127(constB87, bitIndex2)) <=> v130(constB87, bitIndex2)) | (~v127(constB87, bitIndex2)) | v130(constB87, bitIndex2)),
% 7.60/5.54 inference(tautology,[status(thm)],[])).
% 7.60/5.54 tff(11939,plain,
% 7.60/5.54 (~v127(constB87, bitIndex2)),
% 7.60/5.54 inference(unit_resolution,[status(thm)],[11938, 11937, 11252])).
% 7.60/5.54 tff(11940,plain,
% 7.60/5.54 (((~v129(constB88, bitIndex2)) <=> v127(constB87, bitIndex2)) | (~v129(constB88, bitIndex2)) | v127(constB87, bitIndex2)),
% 7.60/5.54 inference(tautology,[status(thm)],[])).
% 7.60/5.54 tff(11941,plain,
% 7.60/5.54 (~v129(constB88, bitIndex2)),
% 7.60/5.54 inference(unit_resolution,[status(thm)],[11940, 11939, 11238])).
% 7.60/5.54 tff(11942,plain,
% 7.60/5.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB87, constB88)) | (v100(constB88) <=> (~((~v101(constB88)) | (~v110(constB88))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB87, constB88)) | (v100(constB88) <=> (~((~v101(constB88)) | (~v110(constB88))))))),
% 7.60/5.54 inference(rewrite,[status(thm)],[])).
% 7.60/5.54 tff(11943,plain,
% 7.60/5.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB87, constB88)) | (v100(constB88) <=> (~((~v101(constB88)) | (~v110(constB88))))))),
% 7.60/5.54 inference(quant_inst,[status(thm)],[])).
% 7.60/5.54 tff(11944,plain,
% 7.60/5.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB87, constB88)) | (v100(constB88) <=> (~((~v101(constB88)) | (~v110(constB88)))))),
% 7.60/5.54 inference(modus_ponens,[status(thm)],[11943, 11942])).
% 7.60/5.54 tff(11945,plain,
% 7.60/5.54 (v100(constB88) <=> (~((~v101(constB88)) | (~v110(constB88))))),
% 7.60/5.54 inference(unit_resolution,[status(thm)],[11944, 11232, 445])).
% 7.60/5.54 tff(11946,plain,
% 7.60/5.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB87, constB88)) | (v101(constB88) <=> (~((~v1(constB88)) | (~v102(constB88))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB87, constB88)) | (v101(constB88) <=> (~((~v1(constB88)) | (~v102(constB88))))))),
% 7.60/5.54 inference(rewrite,[status(thm)],[])).
% 7.60/5.54 tff(11947,plain,
% 7.60/5.54 (((~nextState(constB87, constB88)) | (v101(constB88) <=> (~((~v102(constB88)) | (~v1(constB88)))))) <=> ((~nextState(constB87, constB88)) | (v101(constB88) <=> (~((~v1(constB88)) | (~v102(constB88))))))),
% 7.60/5.54 inference(rewrite,[status(thm)],[])).
% 7.60/5.54 tff(11948,plain,
% 7.60/5.54 (((~![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) <=> (~((~v1(constB88)) | (~v102(constB88)))))))),
% 7.60/5.54 inference(monotonicity,[status(thm)],[11947])).
% 7.60/5.54 tff(11949,plain,
% 7.60/5.54 (((~![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) <=> (~((~v1(constB88)) | (~v102(constB88))))))),
% 7.60/5.54 inference(transitivity,[status(thm)],[11948, 11946])).
% 7.60/5.54 tff(11950,plain,
% 7.60/5.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB87, constB88)) | (v101(constB88) <=> (~((~v102(constB88)) | (~v1(constB88))))))),
% 7.60/5.54 inference(quant_inst,[status(thm)],[])).
% 7.60/5.54 tff(11951,plain,
% 7.60/5.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB87, constB88)) | (v101(constB88) <=> (~((~v1(constB88)) | (~v102(constB88)))))),
% 7.60/5.54 inference(modus_ponens,[status(thm)],[11950, 11949])).
% 7.60/5.54 tff(11952,plain,
% 7.60/5.54 (v101(constB88) <=> (~((~v1(constB88)) | (~v102(constB88))))),
% 7.60/5.54 inference(unit_resolution,[status(thm)],[11951, 11232, 465])).
% 7.60/5.54 tff(11953,plain,
% 7.60/5.54 (((~![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)))),
% 7.60/5.54 inference(rewrite,[status(thm)],[])).
% 7.60/5.54 tff(11954,plain,
% 7.60/5.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB87, constB88)) | ((~v102(constB88)) <=> v104(constB88)))),
% 7.60/5.54 inference(quant_inst,[status(thm)],[])).
% 7.60/5.54 tff(11955,plain,
% 7.60/5.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB87, constB88)) | ((~v102(constB88)) <=> v104(constB88))),
% 7.60/5.54 inference(modus_ponens,[status(thm)],[11954, 11953])).
% 7.60/5.54 tff(11956,plain,
% 7.60/5.54 ((~v102(constB88)) <=> v104(constB88)),
% 7.60/5.54 inference(unit_resolution,[status(thm)],[11955, 11232, 3244])).
% 7.60/5.54 tff(11957,plain,
% 7.60/5.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB87, constB88)) | (v104(constB88) <=> v1(constB87)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB87, constB88)) | (v104(constB88) <=> v1(constB87)))),
% 7.60/5.54 inference(rewrite,[status(thm)],[])).
% 7.60/5.54 tff(11958,plain,
% 7.60/5.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB87, constB88)) | (v104(constB88) <=> v1(constB87)))),
% 7.60/5.54 inference(quant_inst,[status(thm)],[])).
% 7.60/5.54 tff(11959,plain,
% 7.60/5.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB87, constB88)) | (v104(constB88) <=> v1(constB87))),
% 7.60/5.54 inference(modus_ponens,[status(thm)],[11958, 11957])).
% 7.60/5.54 tff(11960,plain,
% 7.60/5.54 (v104(constB88) <=> v1(constB87)),
% 7.60/5.54 inference(unit_resolution,[status(thm)],[11959, 11232, 3258])).
% 7.60/5.54 tff(11961,plain,
% 7.60/5.54 ((~(v104(constB88) <=> v1(constB87))) | (~v104(constB88)) | v1(constB87)),
% 7.60/5.54 inference(tautology,[status(thm)],[])).
% 7.60/5.54 tff(11962,plain,
% 7.60/5.54 ((~(v104(constB88) <=> v1(constB87))) | (~v104(constB88))),
% 7.60/5.54 inference(unit_resolution,[status(thm)],[11961, 11271])).
% 7.60/5.54 tff(11963,plain,
% 7.60/5.54 (~v104(constB88)),
% 7.60/5.54 inference(unit_resolution,[status(thm)],[11962, 11960])).
% 7.60/5.54 tff(11964,plain,
% 7.60/5.54 ((~((~v102(constB88)) <=> v104(constB88))) | v102(constB88) | v104(constB88)),
% 7.60/5.54 inference(tautology,[status(thm)],[])).
% 7.60/5.54 tff(11965,plain,
% 7.60/5.54 (v102(constB88)),
% 7.60/5.54 inference(unit_resolution,[status(thm)],[11964, 11963, 11956])).
% 7.60/5.54 tff(11966,plain,
% 7.60/5.54 (v1(constB88) <=> v1(constB88)),
% 7.60/5.54 inference(rewrite,[status(thm)],[])).
% 7.60/5.54 tff(11967,axiom,(v1(constB88)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_88')).
% 7.60/5.54 tff(11968,plain,
% 7.60/5.54 (v1(constB88)),
% 7.60/5.54 inference(modus_ponens,[status(thm)],[11967, 11966])).
% 7.60/5.54 tff(11969,plain,
% 7.60/5.54 ((~((~v1(constB88)) | (~v102(constB88)))) | (~v1(constB88)) | (~v102(constB88))),
% 7.60/5.54 inference(tautology,[status(thm)],[])).
% 7.60/5.54 tff(11970,plain,
% 7.60/5.54 ((~((~v1(constB88)) | (~v102(constB88)))) | (~v102(constB88))),
% 7.60/5.54 inference(unit_resolution,[status(thm)],[11969, 11968])).
% 7.60/5.54 tff(11971,plain,
% 7.60/5.54 (~((~v1(constB88)) | (~v102(constB88)))),
% 7.60/5.54 inference(unit_resolution,[status(thm)],[11970, 11965])).
% 7.60/5.54 tff(11972,plain,
% 7.60/5.54 ((~(v101(constB88) <=> (~((~v1(constB88)) | (~v102(constB88)))))) | v101(constB88) | ((~v1(constB88)) | (~v102(constB88)))),
% 7.60/5.54 inference(tautology,[status(thm)],[])).
% 7.60/5.54 tff(11973,plain,
% 7.60/5.54 (v101(constB88)),
% 7.60/5.54 inference(unit_resolution,[status(thm)],[11972, 11971, 11952])).
% 7.60/5.54 tff(11974,plain,
% 7.60/5.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB87, constB88)) | (v110(constB88) <=> v108(constB87)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB87, constB88)) | (v110(constB88) <=> v108(constB87)))),
% 7.60/5.54 inference(rewrite,[status(thm)],[])).
% 7.60/5.54 tff(11975,plain,
% 7.60/5.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB87, constB88)) | (v110(constB88) <=> v108(constB87)))),
% 7.60/5.54 inference(quant_inst,[status(thm)],[])).
% 7.60/5.54 tff(11976,plain,
% 7.60/5.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB87, constB88)) | (v110(constB88) <=> v108(constB87))),
% 7.60/5.54 inference(modus_ponens,[status(thm)],[11975, 11974])).
% 7.60/5.54 tff(11977,plain,
% 7.60/5.54 (v110(constB88) <=> v108(constB87)),
% 7.60/5.54 inference(unit_resolution,[status(thm)],[11976, 11232, 3285])).
% 7.60/5.54 tff(11978,plain,
% 7.60/5.54 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB87) <=> (v111(constB87) | v112(constB87)))),
% 7.60/5.54 inference(quant_inst,[status(thm)],[])).
% 7.60/5.54 tff(11979,plain,
% 7.60/5.54 (v108(constB87) <=> (v111(constB87) | v112(constB87))),
% 7.60/5.54 inference(unit_resolution,[status(thm)],[11978, 3296])).
% 7.60/5.54 tff(11980,plain,
% 7.60/5.54 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB87) <=> (~((~v113(constB87)) | (~v126(constB87)))))),
% 7.60/5.54 inference(quant_inst,[status(thm)],[])).
% 7.60/5.54 tff(11981,plain,
% 7.60/5.54 (v112(constB87) <=> (~((~v113(constB87)) | (~v126(constB87))))),
% 7.60/5.54 inference(unit_resolution,[status(thm)],[11980, 3308])).
% 7.60/5.54 tff(11982,plain,
% 7.60/5.54 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB87) <=> (v114(constB87) | v125(constB87)))),
% 7.60/5.54 inference(quant_inst,[status(thm)],[])).
% 7.60/5.54 tff(11983,plain,
% 7.60/5.54 (v113(constB87) <=> (v114(constB87) | v125(constB87))),
% 7.60/5.54 inference(unit_resolution,[status(thm)],[11982, 3317])).
% 7.60/5.54 tff(11984,plain,
% 7.60/5.54 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB87) <=> (v115(constB87) | v124(constB87)))),
% 7.60/5.54 inference(quant_inst,[status(thm)],[])).
% 7.60/5.54 tff(11985,plain,
% 7.60/5.54 (v114(constB87) <=> (v115(constB87) | v124(constB87))),
% 7.60/5.54 inference(unit_resolution,[status(thm)],[11984, 3326])).
% 7.60/5.54 tff(11986,plain,
% 7.60/5.54 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB87) <=> (v116(constB87) | v123(constB87)))),
% 7.60/5.54 inference(quant_inst,[status(thm)],[])).
% 7.60/5.54 tff(11987,plain,
% 7.60/5.54 (v115(constB87) <=> (v116(constB87) | v123(constB87))),
% 7.60/5.54 inference(unit_resolution,[status(thm)],[11986, 3335])).
% 7.60/5.54 tff(11988,plain,
% 7.60/5.54 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB87) <=> (v117(constB87) | v122(constB87)))),
% 7.60/5.54 inference(quant_inst,[status(thm)],[])).
% 7.60/5.54 tff(11989,plain,
% 7.60/5.54 (v116(constB87) <=> (v117(constB87) | v122(constB87))),
% 7.60/5.54 inference(unit_resolution,[status(thm)],[11988, 3344])).
% 7.60/5.54 tff(11990,plain,
% 7.60/5.54 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB87) <=> (v118(constB87) | v121(constB87)))),
% 7.60/5.54 inference(quant_inst,[status(thm)],[])).
% 7.60/5.54 tff(11991,plain,
% 7.60/5.54 (v117(constB87) <=> (v118(constB87) | v121(constB87))),
% 7.60/5.54 inference(unit_resolution,[status(thm)],[11990, 3353])).
% 7.60/5.54 tff(11992,plain,
% 7.60/5.54 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB87) <=> (v119(constB87) | v120(constB87)))),
% 7.60/5.54 inference(quant_inst,[status(thm)],[])).
% 7.60/5.54 tff(11993,plain,
% 7.60/5.54 (v118(constB87) <=> (v119(constB87) | v120(constB87))),
% 7.60/5.54 inference(unit_resolution,[status(thm)],[11992, 3362])).
% 7.60/5.54 tff(11994,plain,
% 7.60/5.54 ((v119(constB87) | v120(constB87)) | (~v120(constB87))),
% 7.60/5.54 inference(tautology,[status(thm)],[])).
% 7.60/5.54 tff(11995,plain,
% 7.60/5.54 (v119(constB87) | v120(constB87)),
% 7.60/5.54 inference(unit_resolution,[status(thm)],[11994, 11927])).
% 7.60/5.54 tff(11996,plain,
% 7.60/5.54 ((~(v118(constB87) <=> (v119(constB87) | v120(constB87)))) | v118(constB87) | (~(v119(constB87) | v120(constB87)))),
% 7.60/5.54 inference(tautology,[status(thm)],[])).
% 7.60/5.54 tff(11997,plain,
% 7.60/5.54 (v118(constB87)),
% 7.60/5.54 inference(unit_resolution,[status(thm)],[11996, 11995, 11993])).
% 7.60/5.54 tff(11998,plain,
% 7.60/5.54 ((v118(constB87) | v121(constB87)) | (~v118(constB87))),
% 7.60/5.54 inference(tautology,[status(thm)],[])).
% 7.60/5.54 tff(11999,plain,
% 7.60/5.54 (v118(constB87) | v121(constB87)),
% 7.60/5.54 inference(unit_resolution,[status(thm)],[11998, 11997])).
% 7.60/5.54 tff(12000,plain,
% 7.60/5.54 ((~(v117(constB87) <=> (v118(constB87) | v121(constB87)))) | v117(constB87) | (~(v118(constB87) | v121(constB87)))),
% 7.60/5.54 inference(tautology,[status(thm)],[])).
% 7.60/5.54 tff(12001,plain,
% 7.60/5.54 (v117(constB87)),
% 7.60/5.54 inference(unit_resolution,[status(thm)],[12000, 11999, 11991])).
% 7.60/5.54 tff(12002,plain,
% 7.60/5.54 ((v117(constB87) | v122(constB87)) | (~v117(constB87))),
% 7.60/5.54 inference(tautology,[status(thm)],[])).
% 7.60/5.54 tff(12003,plain,
% 7.60/5.54 (v117(constB87) | v122(constB87)),
% 7.60/5.54 inference(unit_resolution,[status(thm)],[12002, 12001])).
% 7.60/5.54 tff(12004,plain,
% 7.60/5.54 ((~(v116(constB87) <=> (v117(constB87) | v122(constB87)))) | v116(constB87) | (~(v117(constB87) | v122(constB87)))),
% 7.60/5.54 inference(tautology,[status(thm)],[])).
% 7.60/5.54 tff(12005,plain,
% 7.60/5.54 (v116(constB87)),
% 7.60/5.54 inference(unit_resolution,[status(thm)],[12004, 12003, 11989])).
% 7.60/5.54 tff(12006,plain,
% 7.60/5.54 ((v116(constB87) | v123(constB87)) | (~v116(constB87))),
% 7.60/5.54 inference(tautology,[status(thm)],[])).
% 7.60/5.54 tff(12007,plain,
% 7.60/5.54 (v116(constB87) | v123(constB87)),
% 7.60/5.54 inference(unit_resolution,[status(thm)],[12006, 12005])).
% 7.60/5.54 tff(12008,plain,
% 7.60/5.54 ((~(v115(constB87) <=> (v116(constB87) | v123(constB87)))) | v115(constB87) | (~(v116(constB87) | v123(constB87)))),
% 7.60/5.54 inference(tautology,[status(thm)],[])).
% 7.60/5.54 tff(12009,plain,
% 7.60/5.54 (v115(constB87)),
% 7.60/5.54 inference(unit_resolution,[status(thm)],[12008, 12007, 11987])).
% 7.60/5.54 tff(12010,plain,
% 7.60/5.54 ((v115(constB87) | v124(constB87)) | (~v115(constB87))),
% 7.60/5.54 inference(tautology,[status(thm)],[])).
% 7.60/5.54 tff(12011,plain,
% 7.60/5.54 (v115(constB87) | v124(constB87)),
% 7.60/5.54 inference(unit_resolution,[status(thm)],[12010, 12009])).
% 7.60/5.54 tff(12012,plain,
% 7.60/5.54 ((~(v114(constB87) <=> (v115(constB87) | v124(constB87)))) | v114(constB87) | (~(v115(constB87) | v124(constB87)))),
% 7.60/5.54 inference(tautology,[status(thm)],[])).
% 7.60/5.54 tff(12013,plain,
% 7.60/5.54 (v114(constB87)),
% 7.60/5.54 inference(unit_resolution,[status(thm)],[12012, 12011, 11985])).
% 7.60/5.54 tff(12014,plain,
% 7.60/5.54 ((v114(constB87) | v125(constB87)) | (~v114(constB87))),
% 7.60/5.54 inference(tautology,[status(thm)],[])).
% 7.60/5.54 tff(12015,plain,
% 7.60/5.54 (v114(constB87) | v125(constB87)),
% 7.60/5.54 inference(unit_resolution,[status(thm)],[12014, 12013])).
% 7.60/5.54 tff(12016,plain,
% 7.60/5.54 ((~(v113(constB87) <=> (v114(constB87) | v125(constB87)))) | v113(constB87) | (~(v114(constB87) | v125(constB87)))),
% 7.60/5.54 inference(tautology,[status(thm)],[])).
% 7.60/5.54 tff(12017,plain,
% 7.60/5.54 (v113(constB87)),
% 7.60/5.54 inference(unit_resolution,[status(thm)],[12016, 12015, 11983])).
% 7.60/5.54 tff(12018,plain,
% 7.60/5.54 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB87)) <=> v111(constB87))),
% 7.60/5.54 inference(quant_inst,[status(thm)],[])).
% 7.60/5.54 tff(12019,plain,
% 7.60/5.54 ((~v126(constB87)) <=> v111(constB87)),
% 7.60/5.54 inference(unit_resolution,[status(thm)],[12018, 3396])).
% 7.60/5.54 tff(12020,plain,
% 7.60/5.54 ((~((~v126(constB87)) <=> v111(constB87))) | v126(constB87) | v111(constB87)),
% 7.60/5.54 inference(tautology,[status(thm)],[])).
% 7.60/5.54 tff(12021,plain,
% 7.60/5.54 ((~((~v126(constB87)) <=> v111(constB87))) | v126(constB87)),
% 7.60/5.54 inference(unit_resolution,[status(thm)],[12020, 11245])).
% 7.60/5.54 tff(12022,plain,
% 7.60/5.54 (v126(constB87)),
% 7.60/5.54 inference(unit_resolution,[status(thm)],[12021, 12019])).
% 7.60/5.54 tff(12023,plain,
% 7.60/5.54 ((~((~v113(constB87)) | (~v126(constB87)))) | (~v113(constB87)) | (~v126(constB87))),
% 7.60/5.54 inference(tautology,[status(thm)],[])).
% 7.60/5.55 tff(12024,plain,
% 7.60/5.55 ((~((~v113(constB87)) | (~v126(constB87)))) | (~v113(constB87))),
% 7.60/5.55 inference(unit_resolution,[status(thm)],[12023, 12022])).
% 7.60/5.55 tff(12025,plain,
% 7.60/5.55 (~((~v113(constB87)) | (~v126(constB87)))),
% 7.60/5.55 inference(unit_resolution,[status(thm)],[12024, 12017])).
% 7.60/5.55 tff(12026,plain,
% 7.60/5.55 ((~(v112(constB87) <=> (~((~v113(constB87)) | (~v126(constB87)))))) | v112(constB87) | ((~v113(constB87)) | (~v126(constB87)))),
% 7.60/5.55 inference(tautology,[status(thm)],[])).
% 7.60/5.55 tff(12027,plain,
% 7.60/5.55 (v112(constB87)),
% 7.60/5.55 inference(unit_resolution,[status(thm)],[12026, 12025, 11981])).
% 7.60/5.55 tff(12028,plain,
% 7.60/5.55 ((v111(constB87) | v112(constB87)) | (~v112(constB87))),
% 7.60/5.55 inference(tautology,[status(thm)],[])).
% 7.60/5.55 tff(12029,plain,
% 7.60/5.55 (v111(constB87) | v112(constB87)),
% 7.60/5.55 inference(unit_resolution,[status(thm)],[12028, 12027])).
% 7.60/5.55 tff(12030,plain,
% 7.60/5.55 ((~(v108(constB87) <=> (v111(constB87) | v112(constB87)))) | v108(constB87) | (~(v111(constB87) | v112(constB87)))),
% 7.60/5.55 inference(tautology,[status(thm)],[])).
% 7.60/5.55 tff(12031,plain,
% 7.60/5.55 (v108(constB87)),
% 7.60/5.55 inference(unit_resolution,[status(thm)],[12030, 12029, 11979])).
% 7.60/5.55 tff(12032,plain,
% 7.60/5.55 ((~(v110(constB88) <=> v108(constB87))) | v110(constB88) | (~v108(constB87))),
% 7.60/5.55 inference(tautology,[status(thm)],[])).
% 7.60/5.55 tff(12033,plain,
% 7.60/5.55 (v110(constB88)),
% 7.60/5.55 inference(unit_resolution,[status(thm)],[12032, 12031, 11977])).
% 7.60/5.55 tff(12034,plain,
% 7.60/5.55 ((~((~v101(constB88)) | (~v110(constB88)))) | (~v101(constB88)) | (~v110(constB88))),
% 7.60/5.55 inference(tautology,[status(thm)],[])).
% 7.60/5.55 tff(12035,plain,
% 7.60/5.55 (~((~v101(constB88)) | (~v110(constB88)))),
% 7.60/5.55 inference(unit_resolution,[status(thm)],[12034, 12033, 11973])).
% 7.60/5.55 tff(12036,plain,
% 7.60/5.55 ((~(v100(constB88) <=> (~((~v101(constB88)) | (~v110(constB88)))))) | v100(constB88) | ((~v101(constB88)) | (~v110(constB88)))),
% 7.60/5.55 inference(tautology,[status(thm)],[])).
% 7.60/5.55 tff(12037,plain,
% 7.60/5.55 (v100(constB88)),
% 7.60/5.55 inference(unit_resolution,[status(thm)],[12036, 12035, 11945])).
% 7.60/5.55 tff(12038,plain,
% 7.60/5.55 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB88)) | (~(((~v90(constB88, bitIndex2)) <=> v129(constB88, bitIndex2)) | ((~v90(constB88, bitIndex1)) <=> v129(constB88, bitIndex1)) | ((~v90(constB88, bitIndex0)) <=> v129(constB88, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB88)) | (~(((~v90(constB88, bitIndex2)) <=> v129(constB88, bitIndex2)) | ((~v90(constB88, bitIndex1)) <=> v129(constB88, bitIndex1)) | ((~v90(constB88, bitIndex0)) <=> v129(constB88, bitIndex0)))))),
% 7.60/5.55 inference(rewrite,[status(thm)],[])).
% 7.60/5.55 tff(12039,plain,
% 7.60/5.55 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB88)) | (~(((~v90(constB88, bitIndex2)) <=> v129(constB88, bitIndex2)) | ((~v90(constB88, bitIndex1)) <=> v129(constB88, bitIndex1)) | ((~v90(constB88, bitIndex0)) <=> v129(constB88, bitIndex0)))))),
% 7.60/5.55 inference(quant_inst,[status(thm)],[])).
% 7.60/5.55 tff(12040,plain,
% 7.60/5.55 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB88)) | (~(((~v90(constB88, bitIndex2)) <=> v129(constB88, bitIndex2)) | ((~v90(constB88, bitIndex1)) <=> v129(constB88, bitIndex1)) | ((~v90(constB88, bitIndex0)) <=> v129(constB88, bitIndex0))))),
% 7.60/5.55 inference(modus_ponens,[status(thm)],[12039, 12038])).
% 7.60/5.55 tff(12041,plain,
% 7.60/5.55 ((~v100(constB88)) | (~(((~v90(constB88, bitIndex2)) <=> v129(constB88, bitIndex2)) | ((~v90(constB88, bitIndex1)) <=> v129(constB88, bitIndex1)) | ((~v90(constB88, bitIndex0)) <=> v129(constB88, bitIndex0))))),
% 7.60/5.55 inference(unit_resolution,[status(thm)],[12040, 3429])).
% 7.60/5.55 tff(12042,plain,
% 7.60/5.55 (~(((~v90(constB88, bitIndex2)) <=> v129(constB88, bitIndex2)) | ((~v90(constB88, bitIndex1)) <=> v129(constB88, bitIndex1)) | ((~v90(constB88, bitIndex0)) <=> v129(constB88, bitIndex0)))),
% 7.60/5.55 inference(unit_resolution,[status(thm)],[12041, 12037])).
% 7.60/5.55 tff(12043,plain,
% 7.60/5.55 ((((~v90(constB88, bitIndex2)) <=> v129(constB88, bitIndex2)) | ((~v90(constB88, bitIndex1)) <=> v129(constB88, bitIndex1)) | ((~v90(constB88, bitIndex0)) <=> v129(constB88, bitIndex0))) | (~((~v90(constB88, bitIndex2)) <=> v129(constB88, bitIndex2)))),
% 7.60/5.55 inference(tautology,[status(thm)],[])).
% 7.60/5.55 tff(12044,plain,
% 7.60/5.55 (~((~v90(constB88, bitIndex2)) <=> v129(constB88, bitIndex2))),
% 7.60/5.55 inference(unit_resolution,[status(thm)],[12043, 12042])).
% 7.60/5.55 tff(12045,plain,
% 7.60/5.55 (((~v90(constB88, bitIndex2)) <=> v129(constB88, bitIndex2)) | (~v90(constB88, bitIndex2)) | v129(constB88, bitIndex2)),
% 7.60/5.55 inference(tautology,[status(thm)],[])).
% 7.60/5.55 tff(12046,plain,
% 7.60/5.55 (~v90(constB88, bitIndex2)),
% 7.60/5.55 inference(unit_resolution,[status(thm)],[12045, 12044, 11941])).
% 7.60/5.55 tff(12047,plain,
% 7.60/5.55 (((~v90(constB89, bitIndex2)) <=> v90(constB88, bitIndex2)) | (~v90(constB89, bitIndex2)) | v90(constB88, bitIndex2)),
% 7.60/5.55 inference(tautology,[status(thm)],[])).
% 7.60/5.55 tff(12048,plain,
% 7.60/5.55 (~v90(constB89, bitIndex2)),
% 7.60/5.55 inference(unit_resolution,[status(thm)],[12047, 12046, 11229])).
% 7.60/5.55 tff(12049,plain,
% 7.60/5.55 ((((~v90(constB89, bitIndex1)) <=> v90(constB88, bitIndex1)) | ((~v90(constB89, bitIndex2)) <=> v90(constB88, bitIndex2)) | ((~v90(constB89, bitIndex0)) <=> v90(constB88, bitIndex0))) | (~((~v90(constB89, bitIndex0)) <=> v90(constB88, bitIndex0)))),
% 7.60/5.55 inference(tautology,[status(thm)],[])).
% 7.60/5.55 tff(12050,plain,
% 7.60/5.55 (~((~v90(constB89, bitIndex0)) <=> v90(constB88, bitIndex0))),
% 7.60/5.55 inference(unit_resolution,[status(thm)],[12049, 11227])).
% 7.60/5.55 tff(12051,plain,
% 7.60/5.55 ((((~v129(constB88, bitIndex2)) <=> v127(constB87, bitIndex2)) | ((~v129(constB88, bitIndex1)) <=> v127(constB87, bitIndex1)) | ((~v129(constB88, bitIndex0)) <=> v127(constB87, bitIndex0))) | (~((~v129(constB88, bitIndex0)) <=> v127(constB87, bitIndex0)))),
% 7.60/5.55 inference(tautology,[status(thm)],[])).
% 7.60/5.55 tff(12052,plain,
% 7.60/5.55 (~((~v129(constB88, bitIndex0)) <=> v127(constB87, bitIndex0))),
% 7.60/5.55 inference(unit_resolution,[status(thm)],[12051, 11236])).
% 7.60/5.55 tff(12053,plain,
% 7.60/5.55 ((((~v127(constB87, bitIndex2)) <=> v130(constB87, bitIndex2)) | ((~v127(constB87, bitIndex1)) <=> v130(constB87, bitIndex1)) | ((~v127(constB87, bitIndex0)) <=> v130(constB87, bitIndex0))) | (~((~v127(constB87, bitIndex0)) <=> v130(constB87, bitIndex0)))),
% 7.60/5.55 inference(tautology,[status(thm)],[])).
% 7.60/5.55 tff(12054,plain,
% 7.60/5.55 (~((~v127(constB87, bitIndex0)) <=> v130(constB87, bitIndex0))),
% 7.60/5.55 inference(unit_resolution,[status(thm)],[12053, 11250])).
% 7.60/5.55 tff(12055,plain,
% 7.60/5.55 ((v130(constB87, bitIndex2) | v130(constB87, bitIndex0) | (~v130(constB87, bitIndex1))) | (~v130(constB87, bitIndex0))),
% 7.60/5.55 inference(tautology,[status(thm)],[])).
% 7.60/5.55 tff(12056,plain,
% 7.60/5.55 (~v130(constB87, bitIndex0)),
% 7.60/5.55 inference(unit_resolution,[status(thm)],[12055, 11935])).
% 7.60/5.55 tff(12057,plain,
% 7.60/5.55 (((~v127(constB87, bitIndex0)) <=> v130(constB87, bitIndex0)) | (~v127(constB87, bitIndex0)) | v130(constB87, bitIndex0)),
% 7.60/5.55 inference(tautology,[status(thm)],[])).
% 7.60/5.55 tff(12058,plain,
% 7.60/5.55 (~v127(constB87, bitIndex0)),
% 7.60/5.55 inference(unit_resolution,[status(thm)],[12057, 12056, 12054])).
% 7.60/5.55 tff(12059,plain,
% 7.60/5.55 (((~v129(constB88, bitIndex0)) <=> v127(constB87, bitIndex0)) | (~v129(constB88, bitIndex0)) | v127(constB87, bitIndex0)),
% 7.60/5.55 inference(tautology,[status(thm)],[])).
% 7.60/5.55 tff(12060,plain,
% 7.60/5.55 (~v129(constB88, bitIndex0)),
% 7.60/5.55 inference(unit_resolution,[status(thm)],[12059, 12058, 12052])).
% 7.60/5.55 tff(12061,plain,
% 7.60/5.55 ((((~v90(constB88, bitIndex2)) <=> v129(constB88, bitIndex2)) | ((~v90(constB88, bitIndex1)) <=> v129(constB88, bitIndex1)) | ((~v90(constB88, bitIndex0)) <=> v129(constB88, bitIndex0))) | (~((~v90(constB88, bitIndex0)) <=> v129(constB88, bitIndex0)))),
% 7.60/5.55 inference(tautology,[status(thm)],[])).
% 7.60/5.55 tff(12062,plain,
% 7.60/5.55 (~((~v90(constB88, bitIndex0)) <=> v129(constB88, bitIndex0))),
% 7.60/5.55 inference(unit_resolution,[status(thm)],[12061, 12042])).
% 7.60/5.55 tff(12063,plain,
% 7.60/5.55 (((~v90(constB88, bitIndex0)) <=> v129(constB88, bitIndex0)) | (~v90(constB88, bitIndex0)) | v129(constB88, bitIndex0)),
% 7.60/5.55 inference(tautology,[status(thm)],[])).
% 7.60/5.55 tff(12064,plain,
% 7.60/5.55 (~v90(constB88, bitIndex0)),
% 7.60/5.55 inference(unit_resolution,[status(thm)],[12063, 12062, 12060])).
% 7.60/5.55 tff(12065,plain,
% 7.60/5.55 (((~v90(constB89, bitIndex0)) <=> v90(constB88, bitIndex0)) | (~v90(constB89, bitIndex0)) | v90(constB88, bitIndex0)),
% 7.60/5.55 inference(tautology,[status(thm)],[])).
% 7.60/5.55 tff(12066,plain,
% 7.60/5.55 (~v90(constB89, bitIndex0)),
% 7.60/5.55 inference(unit_resolution,[status(thm)],[12065, 12064, 12050])).
% 7.60/5.55 tff(12067,plain,
% 7.60/5.55 ((((~v90(constB89, bitIndex1)) <=> v90(constB88, bitIndex1)) | ((~v90(constB89, bitIndex2)) <=> v90(constB88, bitIndex2)) | ((~v90(constB89, bitIndex0)) <=> v90(constB88, bitIndex0))) | (~((~v90(constB89, bitIndex1)) <=> v90(constB88, bitIndex1)))),
% 7.60/5.55 inference(tautology,[status(thm)],[])).
% 7.60/5.55 tff(12068,plain,
% 7.60/5.55 (~((~v90(constB89, bitIndex1)) <=> v90(constB88, bitIndex1))),
% 7.60/5.55 inference(unit_resolution,[status(thm)],[12067, 11227])).
% 7.60/5.55 tff(12069,plain,
% 7.60/5.55 ((((~v129(constB88, bitIndex2)) <=> v127(constB87, bitIndex2)) | ((~v129(constB88, bitIndex1)) <=> v127(constB87, bitIndex1)) | ((~v129(constB88, bitIndex0)) <=> v127(constB87, bitIndex0))) | (~((~v129(constB88, bitIndex1)) <=> v127(constB87, bitIndex1)))),
% 7.60/5.55 inference(tautology,[status(thm)],[])).
% 7.60/5.55 tff(12070,plain,
% 7.60/5.55 (~((~v129(constB88, bitIndex1)) <=> v127(constB87, bitIndex1))),
% 7.60/5.55 inference(unit_resolution,[status(thm)],[12069, 11236])).
% 7.60/5.55 tff(12071,plain,
% 7.60/5.55 ((((~v127(constB87, bitIndex2)) <=> v130(constB87, bitIndex2)) | ((~v127(constB87, bitIndex1)) <=> v130(constB87, bitIndex1)) | ((~v127(constB87, bitIndex0)) <=> v130(constB87, bitIndex0))) | (~((~v127(constB87, bitIndex1)) <=> v130(constB87, bitIndex1)))),
% 7.60/5.55 inference(tautology,[status(thm)],[])).
% 7.60/5.55 tff(12072,plain,
% 7.60/5.55 (~((~v127(constB87, bitIndex1)) <=> v130(constB87, bitIndex1))),
% 7.60/5.55 inference(unit_resolution,[status(thm)],[12071, 11250])).
% 7.60/5.55 tff(12073,plain,
% 7.60/5.55 ((v130(constB87, bitIndex2) | v130(constB87, bitIndex0) | (~v130(constB87, bitIndex1))) | v130(constB87, bitIndex1)),
% 7.60/5.55 inference(tautology,[status(thm)],[])).
% 7.60/5.55 tff(12074,plain,
% 7.60/5.55 (v130(constB87, bitIndex1)),
% 7.60/5.55 inference(unit_resolution,[status(thm)],[12073, 11935])).
% 7.60/5.55 tff(12075,plain,
% 7.60/5.55 (((~v127(constB87, bitIndex1)) <=> v130(constB87, bitIndex1)) | v127(constB87, bitIndex1) | (~v130(constB87, bitIndex1))),
% 7.60/5.55 inference(tautology,[status(thm)],[])).
% 7.60/5.55 tff(12076,plain,
% 7.60/5.55 (v127(constB87, bitIndex1)),
% 7.60/5.55 inference(unit_resolution,[status(thm)],[12075, 12074, 12072])).
% 7.60/5.55 tff(12077,plain,
% 7.60/5.55 (((~v129(constB88, bitIndex1)) <=> v127(constB87, bitIndex1)) | v129(constB88, bitIndex1) | (~v127(constB87, bitIndex1))),
% 7.60/5.55 inference(tautology,[status(thm)],[])).
% 7.60/5.55 tff(12078,plain,
% 7.60/5.55 (v129(constB88, bitIndex1)),
% 7.60/5.55 inference(unit_resolution,[status(thm)],[12077, 12076, 12070])).
% 7.60/5.55 tff(12079,plain,
% 7.60/5.55 ((((~v90(constB88, bitIndex2)) <=> v129(constB88, bitIndex2)) | ((~v90(constB88, bitIndex1)) <=> v129(constB88, bitIndex1)) | ((~v90(constB88, bitIndex0)) <=> v129(constB88, bitIndex0))) | (~((~v90(constB88, bitIndex1)) <=> v129(constB88, bitIndex1)))),
% 7.60/5.55 inference(tautology,[status(thm)],[])).
% 7.60/5.55 tff(12080,plain,
% 7.60/5.55 (~((~v90(constB88, bitIndex1)) <=> v129(constB88, bitIndex1))),
% 7.60/5.55 inference(unit_resolution,[status(thm)],[12079, 12042])).
% 7.60/5.55 tff(12081,plain,
% 7.60/5.55 (((~v90(constB88, bitIndex1)) <=> v129(constB88, bitIndex1)) | v90(constB88, bitIndex1) | (~v129(constB88, bitIndex1))),
% 7.60/5.55 inference(tautology,[status(thm)],[])).
% 7.60/5.55 tff(12082,plain,
% 7.60/5.55 (v90(constB88, bitIndex1)),
% 7.60/5.55 inference(unit_resolution,[status(thm)],[12081, 12080, 12078])).
% 7.60/5.55 tff(12083,plain,
% 7.60/5.55 (((~v90(constB89, bitIndex1)) <=> v90(constB88, bitIndex1)) | v90(constB89, bitIndex1) | (~v90(constB88, bitIndex1))),
% 7.60/5.55 inference(tautology,[status(thm)],[])).
% 7.60/5.55 tff(12084,plain,
% 7.60/5.55 (v90(constB89, bitIndex1)),
% 7.60/5.55 inference(unit_resolution,[status(thm)],[12083, 12082, 12068])).
% 7.60/5.55 tff(12085,plain,
% 7.60/5.55 ((~(v90(constB89, bitIndex2) | v90(constB89, bitIndex0) | (~v90(constB89, bitIndex1)))) | v90(constB89, bitIndex2) | v90(constB89, bitIndex0) | (~v90(constB89, bitIndex1))),
% 7.60/5.55 inference(tautology,[status(thm)],[])).
% 7.60/5.55 tff(12086,plain,
% 7.60/5.55 (~(v90(constB89, bitIndex2) | v90(constB89, bitIndex0) | (~v90(constB89, bitIndex1)))),
% 7.60/5.55 inference(unit_resolution,[status(thm)],[12085, 12084, 12066, 12048])).
% 7.60/5.55 tff(12087,plain,
% 7.60/5.55 ((~(v121(constB89) <=> (~(v90(constB89, bitIndex2) | v90(constB89, bitIndex0) | (~v90(constB89, bitIndex1)))))) | v121(constB89) | (v90(constB89, bitIndex2) | v90(constB89, bitIndex0) | (~v90(constB89, bitIndex1)))),
% 7.60/5.55 inference(tautology,[status(thm)],[])).
% 7.60/5.55 tff(12088,plain,
% 7.60/5.55 (v121(constB89)),
% 7.60/5.55 inference(unit_resolution,[status(thm)],[12087, 12086, 11193])).
% 7.60/5.55 tff(12089,plain,
% 7.60/5.55 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB89)) | (~(v130(constB89, bitIndex2) | (~v130(constB89, bitIndex1)) | (~v130(constB89, bitIndex0)))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | (~v121(constB89)) | (~(v130(constB89, bitIndex2) | (~v130(constB89, bitIndex1)) | (~v130(constB89, bitIndex0)))))),
% 7.60/5.55 inference(rewrite,[status(thm)],[])).
% 7.60/5.55 tff(12090,plain,
% 7.60/5.55 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB89)) | (~(v130(constB89, bitIndex2) | (~v130(constB89, bitIndex1)) | (~v130(constB89, bitIndex0)))))),
% 7.60/5.55 inference(quant_inst,[status(thm)],[])).
% 7.60/5.55 tff(12091,plain,
% 7.60/5.55 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | (~v121(constB89)) | (~(v130(constB89, bitIndex2) | (~v130(constB89, bitIndex1)) | (~v130(constB89, bitIndex0))))),
% 7.60/5.55 inference(modus_ponens,[status(thm)],[12090, 12089])).
% 7.60/5.55 tff(12092,plain,
% 7.60/5.55 ((~v121(constB89)) | (~(v130(constB89, bitIndex2) | (~v130(constB89, bitIndex1)) | (~v130(constB89, bitIndex0))))),
% 7.60/5.55 inference(unit_resolution,[status(thm)],[12091, 4055])).
% 7.60/5.55 tff(12093,plain,
% 7.60/5.55 (~(v130(constB89, bitIndex2) | (~v130(constB89, bitIndex1)) | (~v130(constB89, bitIndex0)))),
% 7.60/5.55 inference(unit_resolution,[status(thm)],[12092, 12088])).
% 7.60/5.55 tff(12094,plain,
% 7.60/5.55 ((v130(constB89, bitIndex2) | (~v130(constB89, bitIndex1)) | (~v130(constB89, bitIndex0))) | (~v130(constB89, bitIndex2))),
% 7.60/5.55 inference(tautology,[status(thm)],[])).
% 7.60/5.55 tff(12095,plain,
% 7.60/5.55 (~v130(constB89, bitIndex2)),
% 7.60/5.55 inference(unit_resolution,[status(thm)],[12094, 12093])).
% 7.60/5.55 tff(12096,plain,
% 7.60/5.55 (((~v127(constB89, bitIndex2)) <=> v130(constB89, bitIndex2)) | (~v127(constB89, bitIndex2)) | v130(constB89, bitIndex2)),
% 7.60/5.55 inference(tautology,[status(thm)],[])).
% 7.60/5.55 tff(12097,plain,
% 7.60/5.55 (~v127(constB89, bitIndex2)),
% 7.60/5.55 inference(unit_resolution,[status(thm)],[12096, 12095, 11186])).
% 7.60/5.55 tff(12098,plain,
% 7.60/5.55 (((~v129(constB90, bitIndex2)) <=> v127(constB89, bitIndex2)) | (~v129(constB90, bitIndex2)) | v127(constB89, bitIndex2)),
% 7.60/5.55 inference(tautology,[status(thm)],[])).
% 7.60/5.55 tff(12099,plain,
% 7.60/5.55 (~v129(constB90, bitIndex2)),
% 7.60/5.55 inference(unit_resolution,[status(thm)],[12098, 12097, 11172])).
% 7.60/5.55 tff(12100,plain,
% 7.60/5.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB89, constB90)) | (v100(constB90) <=> (~((~v101(constB90)) | (~v110(constB90))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB89, constB90)) | (v100(constB90) <=> (~((~v101(constB90)) | (~v110(constB90))))))),
% 7.60/5.55 inference(rewrite,[status(thm)],[])).
% 7.60/5.55 tff(12101,plain,
% 7.60/5.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB89, constB90)) | (v100(constB90) <=> (~((~v101(constB90)) | (~v110(constB90))))))),
% 7.60/5.55 inference(quant_inst,[status(thm)],[])).
% 7.60/5.55 tff(12102,plain,
% 7.60/5.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB89, constB90)) | (v100(constB90) <=> (~((~v101(constB90)) | (~v110(constB90)))))),
% 7.60/5.55 inference(modus_ponens,[status(thm)],[12101, 12100])).
% 7.60/5.55 tff(12103,plain,
% 7.60/5.55 (v100(constB90) <=> (~((~v101(constB90)) | (~v110(constB90))))),
% 7.60/5.55 inference(unit_resolution,[status(thm)],[12102, 11166, 445])).
% 7.60/5.55 tff(12104,plain,
% 7.60/5.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB89, constB90)) | (v101(constB90) <=> (~((~v1(constB90)) | (~v102(constB90))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB89, constB90)) | (v101(constB90) <=> (~((~v1(constB90)) | (~v102(constB90))))))),
% 7.60/5.55 inference(rewrite,[status(thm)],[])).
% 7.60/5.55 tff(12105,plain,
% 7.60/5.55 (((~nextState(constB89, constB90)) | (v101(constB90) <=> (~((~v102(constB90)) | (~v1(constB90)))))) <=> ((~nextState(constB89, constB90)) | (v101(constB90) <=> (~((~v1(constB90)) | (~v102(constB90))))))),
% 7.60/5.55 inference(rewrite,[status(thm)],[])).
% 7.60/5.55 tff(12106,plain,
% 7.60/5.55 (((~![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) <=> (~((~v1(constB90)) | (~v102(constB90)))))))),
% 7.60/5.55 inference(monotonicity,[status(thm)],[12105])).
% 7.60/5.55 tff(12107,plain,
% 7.60/5.55 (((~![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) <=> (~((~v1(constB90)) | (~v102(constB90))))))),
% 7.60/5.55 inference(transitivity,[status(thm)],[12106, 12104])).
% 7.60/5.55 tff(12108,plain,
% 7.60/5.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB89, constB90)) | (v101(constB90) <=> (~((~v102(constB90)) | (~v1(constB90))))))),
% 7.60/5.55 inference(quant_inst,[status(thm)],[])).
% 7.60/5.55 tff(12109,plain,
% 7.60/5.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB89, constB90)) | (v101(constB90) <=> (~((~v1(constB90)) | (~v102(constB90)))))),
% 7.60/5.55 inference(modus_ponens,[status(thm)],[12108, 12107])).
% 7.60/5.55 tff(12110,plain,
% 7.60/5.55 (v101(constB90) <=> (~((~v1(constB90)) | (~v102(constB90))))),
% 7.60/5.55 inference(unit_resolution,[status(thm)],[12109, 11166, 465])).
% 7.60/5.55 tff(12111,plain,
% 7.60/5.55 (((~![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)))),
% 7.60/5.55 inference(rewrite,[status(thm)],[])).
% 7.60/5.55 tff(12112,plain,
% 7.60/5.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB89, constB90)) | ((~v102(constB90)) <=> v104(constB90)))),
% 7.60/5.55 inference(quant_inst,[status(thm)],[])).
% 7.60/5.55 tff(12113,plain,
% 7.60/5.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB89, constB90)) | ((~v102(constB90)) <=> v104(constB90))),
% 7.60/5.55 inference(modus_ponens,[status(thm)],[12112, 12111])).
% 7.60/5.55 tff(12114,plain,
% 7.60/5.55 ((~v102(constB90)) <=> v104(constB90)),
% 7.60/5.55 inference(unit_resolution,[status(thm)],[12113, 11166, 3244])).
% 7.60/5.55 tff(12115,plain,
% 7.60/5.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB89, constB90)) | (v104(constB90) <=> v1(constB89)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB89, constB90)) | (v104(constB90) <=> v1(constB89)))),
% 7.60/5.55 inference(rewrite,[status(thm)],[])).
% 7.60/5.55 tff(12116,plain,
% 7.60/5.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB89, constB90)) | (v104(constB90) <=> v1(constB89)))),
% 7.60/5.55 inference(quant_inst,[status(thm)],[])).
% 7.60/5.55 tff(12117,plain,
% 7.60/5.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB89, constB90)) | (v104(constB90) <=> v1(constB89))),
% 7.60/5.55 inference(modus_ponens,[status(thm)],[12116, 12115])).
% 7.60/5.55 tff(12118,plain,
% 7.60/5.55 (v104(constB90) <=> v1(constB89)),
% 7.60/5.55 inference(unit_resolution,[status(thm)],[12117, 11166, 3258])).
% 7.60/5.55 tff(12119,plain,
% 7.60/5.55 ((~(v104(constB90) <=> v1(constB89))) | (~v104(constB90)) | v1(constB89)),
% 7.60/5.55 inference(tautology,[status(thm)],[])).
% 7.60/5.55 tff(12120,plain,
% 7.60/5.55 ((~(v104(constB90) <=> v1(constB89))) | (~v104(constB90))),
% 7.60/5.55 inference(unit_resolution,[status(thm)],[12119, 11210])).
% 7.60/5.55 tff(12121,plain,
% 7.60/5.55 (~v104(constB90)),
% 7.60/5.55 inference(unit_resolution,[status(thm)],[12120, 12118])).
% 7.60/5.55 tff(12122,plain,
% 7.60/5.55 ((~((~v102(constB90)) <=> v104(constB90))) | v102(constB90) | v104(constB90)),
% 7.60/5.55 inference(tautology,[status(thm)],[])).
% 7.60/5.55 tff(12123,plain,
% 7.60/5.55 (v102(constB90)),
% 7.60/5.55 inference(unit_resolution,[status(thm)],[12122, 12121, 12114])).
% 7.60/5.55 tff(12124,plain,
% 7.60/5.55 (v1(constB90) <=> v1(constB90)),
% 7.60/5.55 inference(rewrite,[status(thm)],[])).
% 7.60/5.55 tff(12125,axiom,(v1(constB90)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_90')).
% 7.60/5.55 tff(12126,plain,
% 7.60/5.55 (v1(constB90)),
% 7.60/5.55 inference(modus_ponens,[status(thm)],[12125, 12124])).
% 7.60/5.55 tff(12127,plain,
% 7.60/5.55 ((~((~v1(constB90)) | (~v102(constB90)))) | (~v1(constB90)) | (~v102(constB90))),
% 7.60/5.55 inference(tautology,[status(thm)],[])).
% 7.60/5.55 tff(12128,plain,
% 7.60/5.55 ((~((~v1(constB90)) | (~v102(constB90)))) | (~v102(constB90))),
% 7.60/5.55 inference(unit_resolution,[status(thm)],[12127, 12126])).
% 7.60/5.55 tff(12129,plain,
% 7.60/5.55 (~((~v1(constB90)) | (~v102(constB90)))),
% 7.60/5.55 inference(unit_resolution,[status(thm)],[12128, 12123])).
% 7.60/5.55 tff(12130,plain,
% 7.60/5.55 ((~(v101(constB90) <=> (~((~v1(constB90)) | (~v102(constB90)))))) | v101(constB90) | ((~v1(constB90)) | (~v102(constB90)))),
% 7.60/5.55 inference(tautology,[status(thm)],[])).
% 7.60/5.55 tff(12131,plain,
% 7.60/5.55 (v101(constB90)),
% 7.60/5.55 inference(unit_resolution,[status(thm)],[12130, 12129, 12110])).
% 7.60/5.55 tff(12132,plain,
% 7.60/5.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB89, constB90)) | (v110(constB90) <=> v108(constB89)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB89, constB90)) | (v110(constB90) <=> v108(constB89)))),
% 7.60/5.55 inference(rewrite,[status(thm)],[])).
% 7.60/5.55 tff(12133,plain,
% 7.60/5.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB89, constB90)) | (v110(constB90) <=> v108(constB89)))),
% 7.60/5.55 inference(quant_inst,[status(thm)],[])).
% 7.60/5.55 tff(12134,plain,
% 7.60/5.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB89, constB90)) | (v110(constB90) <=> v108(constB89))),
% 7.60/5.55 inference(modus_ponens,[status(thm)],[12133, 12132])).
% 7.60/5.55 tff(12135,plain,
% 7.60/5.55 (v110(constB90) <=> v108(constB89)),
% 7.60/5.55 inference(unit_resolution,[status(thm)],[12134, 11166, 3285])).
% 7.60/5.55 tff(12136,plain,
% 7.60/5.55 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB89) <=> (v111(constB89) | v112(constB89)))),
% 7.60/5.55 inference(quant_inst,[status(thm)],[])).
% 7.60/5.55 tff(12137,plain,
% 7.60/5.55 (v108(constB89) <=> (v111(constB89) | v112(constB89))),
% 7.60/5.55 inference(unit_resolution,[status(thm)],[12136, 3296])).
% 7.60/5.55 tff(12138,plain,
% 7.60/5.55 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB89) <=> (~((~v113(constB89)) | (~v126(constB89)))))),
% 7.60/5.55 inference(quant_inst,[status(thm)],[])).
% 7.60/5.55 tff(12139,plain,
% 7.60/5.55 (v112(constB89) <=> (~((~v113(constB89)) | (~v126(constB89))))),
% 7.60/5.55 inference(unit_resolution,[status(thm)],[12138, 3308])).
% 7.60/5.55 tff(12140,plain,
% 7.60/5.55 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB89) <=> (v114(constB89) | v125(constB89)))),
% 7.60/5.55 inference(quant_inst,[status(thm)],[])).
% 7.60/5.55 tff(12141,plain,
% 7.60/5.55 (v113(constB89) <=> (v114(constB89) | v125(constB89))),
% 7.60/5.55 inference(unit_resolution,[status(thm)],[12140, 3317])).
% 7.60/5.55 tff(12142,plain,
% 7.60/5.55 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB89) <=> (v115(constB89) | v124(constB89)))),
% 7.60/5.55 inference(quant_inst,[status(thm)],[])).
% 7.60/5.55 tff(12143,plain,
% 7.60/5.55 (v114(constB89) <=> (v115(constB89) | v124(constB89))),
% 7.60/5.55 inference(unit_resolution,[status(thm)],[12142, 3326])).
% 7.60/5.55 tff(12144,plain,
% 7.60/5.55 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB89) <=> (v116(constB89) | v123(constB89)))),
% 7.60/5.55 inference(quant_inst,[status(thm)],[])).
% 7.60/5.55 tff(12145,plain,
% 7.60/5.55 (v115(constB89) <=> (v116(constB89) | v123(constB89))),
% 7.60/5.55 inference(unit_resolution,[status(thm)],[12144, 3335])).
% 7.60/5.55 tff(12146,plain,
% 7.60/5.55 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB89) <=> (v117(constB89) | v122(constB89)))),
% 7.60/5.55 inference(quant_inst,[status(thm)],[])).
% 7.60/5.55 tff(12147,plain,
% 7.60/5.55 (v116(constB89) <=> (v117(constB89) | v122(constB89))),
% 7.60/5.55 inference(unit_resolution,[status(thm)],[12146, 3344])).
% 7.60/5.55 tff(12148,plain,
% 7.60/5.55 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB89) <=> (v118(constB89) | v121(constB89)))),
% 7.60/5.55 inference(quant_inst,[status(thm)],[])).
% 7.60/5.55 tff(12149,plain,
% 7.60/5.55 (v117(constB89) <=> (v118(constB89) | v121(constB89))),
% 7.60/5.55 inference(unit_resolution,[status(thm)],[12148, 3353])).
% 7.60/5.55 tff(12150,plain,
% 7.60/5.55 ((v118(constB89) | v121(constB89)) | (~v121(constB89))),
% 7.60/5.55 inference(tautology,[status(thm)],[])).
% 7.60/5.55 tff(12151,plain,
% 7.60/5.55 (v118(constB89) | v121(constB89)),
% 7.60/5.55 inference(unit_resolution,[status(thm)],[12150, 12088])).
% 7.60/5.55 tff(12152,plain,
% 7.60/5.55 ((~(v117(constB89) <=> (v118(constB89) | v121(constB89)))) | v117(constB89) | (~(v118(constB89) | v121(constB89)))),
% 7.60/5.55 inference(tautology,[status(thm)],[])).
% 7.60/5.55 tff(12153,plain,
% 7.60/5.55 (v117(constB89)),
% 7.60/5.55 inference(unit_resolution,[status(thm)],[12152, 12151, 12149])).
% 7.60/5.55 tff(12154,plain,
% 7.60/5.55 ((v117(constB89) | v122(constB89)) | (~v117(constB89))),
% 7.60/5.55 inference(tautology,[status(thm)],[])).
% 7.60/5.55 tff(12155,plain,
% 7.60/5.55 (v117(constB89) | v122(constB89)),
% 7.60/5.55 inference(unit_resolution,[status(thm)],[12154, 12153])).
% 7.60/5.55 tff(12156,plain,
% 7.60/5.55 ((~(v116(constB89) <=> (v117(constB89) | v122(constB89)))) | v116(constB89) | (~(v117(constB89) | v122(constB89)))),
% 7.60/5.55 inference(tautology,[status(thm)],[])).
% 7.60/5.55 tff(12157,plain,
% 7.60/5.55 (v116(constB89)),
% 7.60/5.55 inference(unit_resolution,[status(thm)],[12156, 12155, 12147])).
% 7.60/5.55 tff(12158,plain,
% 7.60/5.55 ((v116(constB89) | v123(constB89)) | (~v116(constB89))),
% 7.60/5.55 inference(tautology,[status(thm)],[])).
% 7.60/5.55 tff(12159,plain,
% 7.60/5.55 (v116(constB89) | v123(constB89)),
% 7.60/5.55 inference(unit_resolution,[status(thm)],[12158, 12157])).
% 7.60/5.55 tff(12160,plain,
% 7.60/5.55 ((~(v115(constB89) <=> (v116(constB89) | v123(constB89)))) | v115(constB89) | (~(v116(constB89) | v123(constB89)))),
% 7.60/5.55 inference(tautology,[status(thm)],[])).
% 7.60/5.55 tff(12161,plain,
% 7.60/5.55 (v115(constB89)),
% 7.60/5.55 inference(unit_resolution,[status(thm)],[12160, 12159, 12145])).
% 7.60/5.55 tff(12162,plain,
% 7.60/5.55 ((v115(constB89) | v124(constB89)) | (~v115(constB89))),
% 7.60/5.55 inference(tautology,[status(thm)],[])).
% 7.60/5.55 tff(12163,plain,
% 7.60/5.55 (v115(constB89) | v124(constB89)),
% 7.60/5.55 inference(unit_resolution,[status(thm)],[12162, 12161])).
% 7.60/5.55 tff(12164,plain,
% 7.60/5.55 ((~(v114(constB89) <=> (v115(constB89) | v124(constB89)))) | v114(constB89) | (~(v115(constB89) | v124(constB89)))),
% 7.60/5.55 inference(tautology,[status(thm)],[])).
% 7.60/5.55 tff(12165,plain,
% 7.60/5.55 (v114(constB89)),
% 7.60/5.55 inference(unit_resolution,[status(thm)],[12164, 12163, 12143])).
% 7.60/5.55 tff(12166,plain,
% 7.60/5.55 ((v114(constB89) | v125(constB89)) | (~v114(constB89))),
% 7.60/5.55 inference(tautology,[status(thm)],[])).
% 7.60/5.55 tff(12167,plain,
% 7.60/5.55 (v114(constB89) | v125(constB89)),
% 7.60/5.55 inference(unit_resolution,[status(thm)],[12166, 12165])).
% 7.60/5.55 tff(12168,plain,
% 7.60/5.55 ((~(v113(constB89) <=> (v114(constB89) | v125(constB89)))) | v113(constB89) | (~(v114(constB89) | v125(constB89)))),
% 7.60/5.55 inference(tautology,[status(thm)],[])).
% 7.60/5.55 tff(12169,plain,
% 7.60/5.55 (v113(constB89)),
% 7.60/5.55 inference(unit_resolution,[status(thm)],[12168, 12167, 12141])).
% 7.60/5.55 tff(12170,plain,
% 7.60/5.55 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB89)) <=> v111(constB89))),
% 7.60/5.55 inference(quant_inst,[status(thm)],[])).
% 7.60/5.55 tff(12171,plain,
% 7.60/5.55 ((~v126(constB89)) <=> v111(constB89)),
% 7.60/5.55 inference(unit_resolution,[status(thm)],[12170, 3396])).
% 7.60/5.55 tff(12172,plain,
% 7.60/5.55 ((~((~v126(constB89)) <=> v111(constB89))) | v126(constB89) | v111(constB89)),
% 7.60/5.55 inference(tautology,[status(thm)],[])).
% 7.60/5.55 tff(12173,plain,
% 7.60/5.55 ((~((~v126(constB89)) <=> v111(constB89))) | v126(constB89)),
% 7.60/5.55 inference(unit_resolution,[status(thm)],[12172, 11179])).
% 7.60/5.55 tff(12174,plain,
% 7.60/5.55 (v126(constB89)),
% 7.60/5.55 inference(unit_resolution,[status(thm)],[12173, 12171])).
% 7.60/5.55 tff(12175,plain,
% 7.60/5.55 ((~((~v113(constB89)) | (~v126(constB89)))) | (~v113(constB89)) | (~v126(constB89))),
% 7.60/5.55 inference(tautology,[status(thm)],[])).
% 7.60/5.55 tff(12176,plain,
% 7.60/5.55 ((~((~v113(constB89)) | (~v126(constB89)))) | (~v113(constB89))),
% 7.60/5.55 inference(unit_resolution,[status(thm)],[12175, 12174])).
% 7.60/5.55 tff(12177,plain,
% 7.60/5.55 (~((~v113(constB89)) | (~v126(constB89)))),
% 7.60/5.55 inference(unit_resolution,[status(thm)],[12176, 12169])).
% 7.60/5.55 tff(12178,plain,
% 7.60/5.55 ((~(v112(constB89) <=> (~((~v113(constB89)) | (~v126(constB89)))))) | v112(constB89) | ((~v113(constB89)) | (~v126(constB89)))),
% 7.60/5.55 inference(tautology,[status(thm)],[])).
% 7.60/5.55 tff(12179,plain,
% 7.60/5.55 (v112(constB89)),
% 7.60/5.55 inference(unit_resolution,[status(thm)],[12178, 12177, 12139])).
% 7.60/5.55 tff(12180,plain,
% 7.60/5.55 ((v111(constB89) | v112(constB89)) | (~v112(constB89))),
% 7.60/5.55 inference(tautology,[status(thm)],[])).
% 7.60/5.55 tff(12181,plain,
% 7.60/5.55 (v111(constB89) | v112(constB89)),
% 7.60/5.55 inference(unit_resolution,[status(thm)],[12180, 12179])).
% 7.60/5.55 tff(12182,plain,
% 7.60/5.55 ((~(v108(constB89) <=> (v111(constB89) | v112(constB89)))) | v108(constB89) | (~(v111(constB89) | v112(constB89)))),
% 7.60/5.55 inference(tautology,[status(thm)],[])).
% 7.60/5.55 tff(12183,plain,
% 7.60/5.55 (v108(constB89)),
% 7.60/5.55 inference(unit_resolution,[status(thm)],[12182, 12181, 12137])).
% 7.60/5.55 tff(12184,plain,
% 7.60/5.55 ((~(v110(constB90) <=> v108(constB89))) | v110(constB90) | (~v108(constB89))),
% 7.60/5.55 inference(tautology,[status(thm)],[])).
% 7.60/5.55 tff(12185,plain,
% 7.60/5.55 (v110(constB90)),
% 7.60/5.55 inference(unit_resolution,[status(thm)],[12184, 12183, 12135])).
% 7.60/5.55 tff(12186,plain,
% 7.60/5.55 ((~((~v101(constB90)) | (~v110(constB90)))) | (~v101(constB90)) | (~v110(constB90))),
% 7.60/5.55 inference(tautology,[status(thm)],[])).
% 7.60/5.55 tff(12187,plain,
% 7.60/5.55 (~((~v101(constB90)) | (~v110(constB90)))),
% 7.60/5.55 inference(unit_resolution,[status(thm)],[12186, 12185, 12131])).
% 7.60/5.55 tff(12188,plain,
% 7.60/5.55 ((~(v100(constB90) <=> (~((~v101(constB90)) | (~v110(constB90)))))) | v100(constB90) | ((~v101(constB90)) | (~v110(constB90)))),
% 7.60/5.55 inference(tautology,[status(thm)],[])).
% 7.60/5.55 tff(12189,plain,
% 7.60/5.55 (v100(constB90)),
% 7.60/5.55 inference(unit_resolution,[status(thm)],[12188, 12187, 12103])).
% 7.60/5.55 tff(12190,plain,
% 7.60/5.55 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB90)) | (~(((~v90(constB90, bitIndex0)) <=> v129(constB90, bitIndex0)) | ((~v90(constB90, bitIndex2)) <=> v129(constB90, bitIndex2)) | ((~v90(constB90, bitIndex1)) <=> v129(constB90, bitIndex1)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB90)) | (~(((~v90(constB90, bitIndex0)) <=> v129(constB90, bitIndex0)) | ((~v90(constB90, bitIndex2)) <=> v129(constB90, bitIndex2)) | ((~v90(constB90, bitIndex1)) <=> v129(constB90, bitIndex1)))))),
% 7.60/5.56 inference(rewrite,[status(thm)],[])).
% 7.60/5.56 tff(12191,plain,
% 7.60/5.56 (((~v100(constB90)) | (~(((~v90(constB90, bitIndex2)) <=> v129(constB90, bitIndex2)) | ((~v90(constB90, bitIndex1)) <=> v129(constB90, bitIndex1)) | ((~v90(constB90, bitIndex0)) <=> v129(constB90, bitIndex0))))) <=> ((~v100(constB90)) | (~(((~v90(constB90, bitIndex0)) <=> v129(constB90, bitIndex0)) | ((~v90(constB90, bitIndex2)) <=> v129(constB90, bitIndex2)) | ((~v90(constB90, bitIndex1)) <=> v129(constB90, bitIndex1)))))),
% 7.60/5.56 inference(rewrite,[status(thm)],[])).
% 7.60/5.56 tff(12192,plain,
% 7.60/5.56 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB90)) | (~(((~v90(constB90, bitIndex2)) <=> v129(constB90, bitIndex2)) | ((~v90(constB90, bitIndex1)) <=> v129(constB90, bitIndex1)) | ((~v90(constB90, bitIndex0)) <=> v129(constB90, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB90)) | (~(((~v90(constB90, bitIndex0)) <=> v129(constB90, bitIndex0)) | ((~v90(constB90, bitIndex2)) <=> v129(constB90, bitIndex2)) | ((~v90(constB90, bitIndex1)) <=> v129(constB90, bitIndex1))))))),
% 7.60/5.56 inference(monotonicity,[status(thm)],[12191])).
% 7.60/5.56 tff(12193,plain,
% 7.60/5.56 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB90)) | (~(((~v90(constB90, bitIndex2)) <=> v129(constB90, bitIndex2)) | ((~v90(constB90, bitIndex1)) <=> v129(constB90, bitIndex1)) | ((~v90(constB90, bitIndex0)) <=> v129(constB90, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB90)) | (~(((~v90(constB90, bitIndex0)) <=> v129(constB90, bitIndex0)) | ((~v90(constB90, bitIndex2)) <=> v129(constB90, bitIndex2)) | ((~v90(constB90, bitIndex1)) <=> v129(constB90, bitIndex1)))))),
% 7.60/5.56 inference(transitivity,[status(thm)],[12192, 12190])).
% 7.60/5.56 tff(12194,plain,
% 7.60/5.56 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB90)) | (~(((~v90(constB90, bitIndex2)) <=> v129(constB90, bitIndex2)) | ((~v90(constB90, bitIndex1)) <=> v129(constB90, bitIndex1)) | ((~v90(constB90, bitIndex0)) <=> v129(constB90, bitIndex0)))))),
% 7.60/5.56 inference(quant_inst,[status(thm)],[])).
% 7.60/5.56 tff(12195,plain,
% 7.60/5.56 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB90)) | (~(((~v90(constB90, bitIndex0)) <=> v129(constB90, bitIndex0)) | ((~v90(constB90, bitIndex2)) <=> v129(constB90, bitIndex2)) | ((~v90(constB90, bitIndex1)) <=> v129(constB90, bitIndex1))))),
% 7.60/5.56 inference(modus_ponens,[status(thm)],[12194, 12193])).
% 7.60/5.56 tff(12196,plain,
% 7.60/5.56 ((~v100(constB90)) | (~(((~v90(constB90, bitIndex0)) <=> v129(constB90, bitIndex0)) | ((~v90(constB90, bitIndex2)) <=> v129(constB90, bitIndex2)) | ((~v90(constB90, bitIndex1)) <=> v129(constB90, bitIndex1))))),
% 7.60/5.56 inference(unit_resolution,[status(thm)],[12195, 3429])).
% 7.60/5.56 tff(12197,plain,
% 7.60/5.56 (~(((~v90(constB90, bitIndex0)) <=> v129(constB90, bitIndex0)) | ((~v90(constB90, bitIndex2)) <=> v129(constB90, bitIndex2)) | ((~v90(constB90, bitIndex1)) <=> v129(constB90, bitIndex1)))),
% 7.60/5.56 inference(unit_resolution,[status(thm)],[12196, 12189])).
% 7.60/5.56 tff(12198,plain,
% 7.60/5.56 ((((~v90(constB90, bitIndex0)) <=> v129(constB90, bitIndex0)) | ((~v90(constB90, bitIndex2)) <=> v129(constB90, bitIndex2)) | ((~v90(constB90, bitIndex1)) <=> v129(constB90, bitIndex1))) | (~((~v90(constB90, bitIndex2)) <=> v129(constB90, bitIndex2)))),
% 7.60/5.56 inference(tautology,[status(thm)],[])).
% 7.60/5.56 tff(12199,plain,
% 7.60/5.56 (~((~v90(constB90, bitIndex2)) <=> v129(constB90, bitIndex2))),
% 7.60/5.56 inference(unit_resolution,[status(thm)],[12198, 12197])).
% 7.60/5.56 tff(12200,plain,
% 7.60/5.56 (((~v90(constB90, bitIndex2)) <=> v129(constB90, bitIndex2)) | (~v90(constB90, bitIndex2)) | v129(constB90, bitIndex2)),
% 7.60/5.56 inference(tautology,[status(thm)],[])).
% 7.60/5.56 tff(12201,plain,
% 7.60/5.56 (~v90(constB90, bitIndex2)),
% 7.60/5.56 inference(unit_resolution,[status(thm)],[12200, 12199, 12099])).
% 7.60/5.56 tff(12202,plain,
% 7.60/5.56 (((~v90(constB91, bitIndex2)) <=> v90(constB90, bitIndex2)) | (~v90(constB91, bitIndex2)) | v90(constB90, bitIndex2)),
% 7.60/5.56 inference(tautology,[status(thm)],[])).
% 7.60/5.56 tff(12203,plain,
% 7.60/5.56 (~v90(constB91, bitIndex2)),
% 7.60/5.56 inference(unit_resolution,[status(thm)],[12202, 12201, 11163])).
% 7.60/5.56 tff(12204,plain,
% 7.60/5.56 ((((~v90(constB91, bitIndex1)) <=> v90(constB90, bitIndex1)) | ((~v90(constB91, bitIndex2)) <=> v90(constB90, bitIndex2)) | ((~v90(constB91, bitIndex0)) <=> v90(constB90, bitIndex0))) | (~((~v90(constB91, bitIndex0)) <=> v90(constB90, bitIndex0)))),
% 7.60/5.56 inference(tautology,[status(thm)],[])).
% 7.60/5.56 tff(12205,plain,
% 7.60/5.56 (~((~v90(constB91, bitIndex0)) <=> v90(constB90, bitIndex0))),
% 7.60/5.56 inference(unit_resolution,[status(thm)],[12204, 11161])).
% 7.60/5.56 tff(12206,plain,
% 7.60/5.56 ((((~v129(constB90, bitIndex2)) <=> v127(constB89, bitIndex2)) | ((~v129(constB90, bitIndex1)) <=> v127(constB89, bitIndex1)) | ((~v129(constB90, bitIndex0)) <=> v127(constB89, bitIndex0))) | (~((~v129(constB90, bitIndex0)) <=> v127(constB89, bitIndex0)))),
% 7.60/5.56 inference(tautology,[status(thm)],[])).
% 7.60/5.56 tff(12207,plain,
% 7.60/5.56 (~((~v129(constB90, bitIndex0)) <=> v127(constB89, bitIndex0))),
% 7.60/5.56 inference(unit_resolution,[status(thm)],[12206, 11170])).
% 7.60/5.56 tff(12208,plain,
% 7.60/5.56 ((((~v127(constB89, bitIndex2)) <=> v130(constB89, bitIndex2)) | ((~v127(constB89, bitIndex1)) <=> v130(constB89, bitIndex1)) | ((~v127(constB89, bitIndex0)) <=> v130(constB89, bitIndex0))) | (~((~v127(constB89, bitIndex0)) <=> v130(constB89, bitIndex0)))),
% 7.60/5.56 inference(tautology,[status(thm)],[])).
% 7.60/5.56 tff(12209,plain,
% 7.60/5.56 (~((~v127(constB89, bitIndex0)) <=> v130(constB89, bitIndex0))),
% 7.60/5.56 inference(unit_resolution,[status(thm)],[12208, 11184])).
% 7.60/5.56 tff(12210,plain,
% 7.60/5.56 ((v130(constB89, bitIndex2) | (~v130(constB89, bitIndex1)) | (~v130(constB89, bitIndex0))) | v130(constB89, bitIndex0)),
% 7.60/5.56 inference(tautology,[status(thm)],[])).
% 7.60/5.56 tff(12211,plain,
% 7.60/5.56 (v130(constB89, bitIndex0)),
% 7.60/5.56 inference(unit_resolution,[status(thm)],[12210, 12093])).
% 7.60/5.56 tff(12212,plain,
% 7.60/5.56 (((~v127(constB89, bitIndex0)) <=> v130(constB89, bitIndex0)) | v127(constB89, bitIndex0) | (~v130(constB89, bitIndex0))),
% 7.60/5.56 inference(tautology,[status(thm)],[])).
% 7.60/5.56 tff(12213,plain,
% 7.60/5.56 (v127(constB89, bitIndex0)),
% 7.60/5.56 inference(unit_resolution,[status(thm)],[12212, 12211, 12209])).
% 7.60/5.56 tff(12214,plain,
% 7.60/5.56 (((~v129(constB90, bitIndex0)) <=> v127(constB89, bitIndex0)) | v129(constB90, bitIndex0) | (~v127(constB89, bitIndex0))),
% 7.60/5.56 inference(tautology,[status(thm)],[])).
% 7.60/5.56 tff(12215,plain,
% 7.60/5.56 (v129(constB90, bitIndex0)),
% 7.60/5.56 inference(unit_resolution,[status(thm)],[12214, 12213, 12207])).
% 7.60/5.56 tff(12216,plain,
% 7.60/5.56 ((((~v90(constB90, bitIndex0)) <=> v129(constB90, bitIndex0)) | ((~v90(constB90, bitIndex2)) <=> v129(constB90, bitIndex2)) | ((~v90(constB90, bitIndex1)) <=> v129(constB90, bitIndex1))) | (~((~v90(constB90, bitIndex0)) <=> v129(constB90, bitIndex0)))),
% 7.60/5.56 inference(tautology,[status(thm)],[])).
% 7.60/5.56 tff(12217,plain,
% 7.60/5.56 (~((~v90(constB90, bitIndex0)) <=> v129(constB90, bitIndex0))),
% 7.60/5.56 inference(unit_resolution,[status(thm)],[12216, 12197])).
% 7.60/5.56 tff(12218,plain,
% 7.60/5.56 (((~v90(constB90, bitIndex0)) <=> v129(constB90, bitIndex0)) | v90(constB90, bitIndex0) | (~v129(constB90, bitIndex0))),
% 7.60/5.56 inference(tautology,[status(thm)],[])).
% 7.60/5.56 tff(12219,plain,
% 7.60/5.56 (v90(constB90, bitIndex0)),
% 7.60/5.56 inference(unit_resolution,[status(thm)],[12218, 12217, 12215])).
% 7.60/5.56 tff(12220,plain,
% 7.60/5.56 (((~v90(constB91, bitIndex0)) <=> v90(constB90, bitIndex0)) | v90(constB91, bitIndex0) | (~v90(constB90, bitIndex0))),
% 7.60/5.56 inference(tautology,[status(thm)],[])).
% 7.60/5.56 tff(12221,plain,
% 7.60/5.56 (v90(constB91, bitIndex0)),
% 7.60/5.56 inference(unit_resolution,[status(thm)],[12220, 12219, 12205])).
% 7.60/5.56 tff(12222,plain,
% 7.60/5.56 ((((~v90(constB91, bitIndex1)) <=> v90(constB90, bitIndex1)) | ((~v90(constB91, bitIndex2)) <=> v90(constB90, bitIndex2)) | ((~v90(constB91, bitIndex0)) <=> v90(constB90, bitIndex0))) | (~((~v90(constB91, bitIndex1)) <=> v90(constB90, bitIndex1)))),
% 7.60/5.56 inference(tautology,[status(thm)],[])).
% 7.60/5.56 tff(12223,plain,
% 7.60/5.56 (~((~v90(constB91, bitIndex1)) <=> v90(constB90, bitIndex1))),
% 7.60/5.56 inference(unit_resolution,[status(thm)],[12222, 11161])).
% 7.60/5.56 tff(12224,plain,
% 7.60/5.56 ((((~v129(constB90, bitIndex2)) <=> v127(constB89, bitIndex2)) | ((~v129(constB90, bitIndex1)) <=> v127(constB89, bitIndex1)) | ((~v129(constB90, bitIndex0)) <=> v127(constB89, bitIndex0))) | (~((~v129(constB90, bitIndex1)) <=> v127(constB89, bitIndex1)))),
% 7.60/5.56 inference(tautology,[status(thm)],[])).
% 7.60/5.56 tff(12225,plain,
% 7.60/5.56 (~((~v129(constB90, bitIndex1)) <=> v127(constB89, bitIndex1))),
% 7.60/5.56 inference(unit_resolution,[status(thm)],[12224, 11170])).
% 7.60/5.56 tff(12226,plain,
% 7.60/5.56 ((((~v127(constB89, bitIndex2)) <=> v130(constB89, bitIndex2)) | ((~v127(constB89, bitIndex1)) <=> v130(constB89, bitIndex1)) | ((~v127(constB89, bitIndex0)) <=> v130(constB89, bitIndex0))) | (~((~v127(constB89, bitIndex1)) <=> v130(constB89, bitIndex1)))),
% 7.60/5.56 inference(tautology,[status(thm)],[])).
% 7.60/5.56 tff(12227,plain,
% 7.60/5.56 (~((~v127(constB89, bitIndex1)) <=> v130(constB89, bitIndex1))),
% 7.60/5.56 inference(unit_resolution,[status(thm)],[12226, 11184])).
% 7.60/5.56 tff(12228,plain,
% 7.60/5.56 ((v130(constB89, bitIndex2) | (~v130(constB89, bitIndex1)) | (~v130(constB89, bitIndex0))) | v130(constB89, bitIndex1)),
% 7.60/5.56 inference(tautology,[status(thm)],[])).
% 7.60/5.56 tff(12229,plain,
% 7.60/5.56 (v130(constB89, bitIndex1)),
% 7.60/5.56 inference(unit_resolution,[status(thm)],[12228, 12093])).
% 7.60/5.56 tff(12230,plain,
% 7.60/5.56 (((~v127(constB89, bitIndex1)) <=> v130(constB89, bitIndex1)) | v127(constB89, bitIndex1) | (~v130(constB89, bitIndex1))),
% 7.60/5.56 inference(tautology,[status(thm)],[])).
% 7.60/5.56 tff(12231,plain,
% 7.60/5.56 (v127(constB89, bitIndex1)),
% 7.60/5.56 inference(unit_resolution,[status(thm)],[12230, 12229, 12227])).
% 7.60/5.56 tff(12232,plain,
% 7.60/5.56 (((~v129(constB90, bitIndex1)) <=> v127(constB89, bitIndex1)) | v129(constB90, bitIndex1) | (~v127(constB89, bitIndex1))),
% 7.60/5.56 inference(tautology,[status(thm)],[])).
% 7.60/5.56 tff(12233,plain,
% 7.60/5.56 (v129(constB90, bitIndex1)),
% 7.60/5.56 inference(unit_resolution,[status(thm)],[12232, 12231, 12225])).
% 7.60/5.56 tff(12234,plain,
% 7.60/5.56 ((((~v90(constB90, bitIndex0)) <=> v129(constB90, bitIndex0)) | ((~v90(constB90, bitIndex2)) <=> v129(constB90, bitIndex2)) | ((~v90(constB90, bitIndex1)) <=> v129(constB90, bitIndex1))) | (~((~v90(constB90, bitIndex1)) <=> v129(constB90, bitIndex1)))),
% 7.60/5.56 inference(tautology,[status(thm)],[])).
% 7.60/5.56 tff(12235,plain,
% 7.60/5.56 (~((~v90(constB90, bitIndex1)) <=> v129(constB90, bitIndex1))),
% 7.60/5.56 inference(unit_resolution,[status(thm)],[12234, 12197])).
% 7.60/5.56 tff(12236,plain,
% 7.60/5.56 (((~v90(constB90, bitIndex1)) <=> v129(constB90, bitIndex1)) | v90(constB90, bitIndex1) | (~v129(constB90, bitIndex1))),
% 7.60/5.56 inference(tautology,[status(thm)],[])).
% 7.60/5.56 tff(12237,plain,
% 7.60/5.56 (v90(constB90, bitIndex1)),
% 7.60/5.56 inference(unit_resolution,[status(thm)],[12236, 12235, 12233])).
% 7.60/5.56 tff(12238,plain,
% 7.60/5.56 (((~v90(constB91, bitIndex1)) <=> v90(constB90, bitIndex1)) | v90(constB91, bitIndex1) | (~v90(constB90, bitIndex1))),
% 7.60/5.56 inference(tautology,[status(thm)],[])).
% 7.60/5.56 tff(12239,plain,
% 7.60/5.56 (v90(constB91, bitIndex1)),
% 7.60/5.56 inference(unit_resolution,[status(thm)],[12238, 12237, 12223])).
% 7.60/5.56 tff(12240,plain,
% 7.60/5.56 ((~(v90(constB91, bitIndex2) | (~v90(constB91, bitIndex1)) | (~v90(constB91, bitIndex0)))) | v90(constB91, bitIndex2) | (~v90(constB91, bitIndex1)) | (~v90(constB91, bitIndex0))),
% 7.60/5.56 inference(tautology,[status(thm)],[])).
% 7.60/5.56 tff(12241,plain,
% 7.60/5.56 (~(v90(constB91, bitIndex2) | (~v90(constB91, bitIndex1)) | (~v90(constB91, bitIndex0)))),
% 7.60/5.56 inference(unit_resolution,[status(thm)],[12240, 12239, 12221, 12203])).
% 7.60/5.56 tff(12242,plain,
% 7.60/5.56 ((~(v122(constB91) <=> (~(v90(constB91, bitIndex2) | (~v90(constB91, bitIndex1)) | (~v90(constB91, bitIndex0)))))) | v122(constB91) | (v90(constB91, bitIndex2) | (~v90(constB91, bitIndex1)) | (~v90(constB91, bitIndex0)))),
% 7.60/5.56 inference(tautology,[status(thm)],[])).
% 7.60/5.56 tff(12243,plain,
% 7.60/5.56 (v122(constB91)),
% 7.60/5.56 inference(unit_resolution,[status(thm)],[12242, 12241, 11127])).
% 7.60/5.56 tff(12244,plain,
% 7.60/5.56 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB91)) | (~(v130(constB91, bitIndex1) | v130(constB91, bitIndex0) | (~v130(constB91, bitIndex2)))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | (~v122(constB91)) | (~(v130(constB91, bitIndex1) | v130(constB91, bitIndex0) | (~v130(constB91, bitIndex2)))))),
% 7.60/5.56 inference(rewrite,[status(thm)],[])).
% 7.60/5.56 tff(12245,plain,
% 7.60/5.56 (((~v122(constB91)) | (~(v130(constB91, bitIndex0) | v130(constB91, bitIndex1) | (~v130(constB91, bitIndex2))))) <=> ((~v122(constB91)) | (~(v130(constB91, bitIndex1) | v130(constB91, bitIndex0) | (~v130(constB91, bitIndex2)))))),
% 7.60/5.56 inference(rewrite,[status(thm)],[])).
% 7.60/5.56 tff(12246,plain,
% 7.60/5.56 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB91)) | (~(v130(constB91, bitIndex0) | v130(constB91, bitIndex1) | (~v130(constB91, bitIndex2)))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB91)) | (~(v130(constB91, bitIndex1) | v130(constB91, bitIndex0) | (~v130(constB91, bitIndex2))))))),
% 7.60/5.56 inference(monotonicity,[status(thm)],[12245])).
% 7.60/5.56 tff(12247,plain,
% 7.60/5.56 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB91)) | (~(v130(constB91, bitIndex0) | v130(constB91, bitIndex1) | (~v130(constB91, bitIndex2)))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | (~v122(constB91)) | (~(v130(constB91, bitIndex1) | v130(constB91, bitIndex0) | (~v130(constB91, bitIndex2)))))),
% 7.60/5.56 inference(transitivity,[status(thm)],[12246, 12244])).
% 7.60/5.56 tff(12248,plain,
% 7.60/5.56 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB91)) | (~(v130(constB91, bitIndex0) | v130(constB91, bitIndex1) | (~v130(constB91, bitIndex2)))))),
% 7.60/5.56 inference(quant_inst,[status(thm)],[])).
% 7.60/5.56 tff(12249,plain,
% 7.60/5.56 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | (~v122(constB91)) | (~(v130(constB91, bitIndex1) | v130(constB91, bitIndex0) | (~v130(constB91, bitIndex2))))),
% 7.60/5.56 inference(modus_ponens,[status(thm)],[12248, 12247])).
% 7.60/5.56 tff(12250,plain,
% 7.60/5.56 ((~v122(constB91)) | (~(v130(constB91, bitIndex1) | v130(constB91, bitIndex0) | (~v130(constB91, bitIndex2))))),
% 7.60/5.56 inference(unit_resolution,[status(thm)],[12249, 4223])).
% 7.60/5.56 tff(12251,plain,
% 7.60/5.56 (~(v130(constB91, bitIndex1) | v130(constB91, bitIndex0) | (~v130(constB91, bitIndex2)))),
% 7.60/5.56 inference(unit_resolution,[status(thm)],[12250, 12243])).
% 7.60/5.56 tff(12252,plain,
% 7.60/5.56 ((v130(constB91, bitIndex1) | v130(constB91, bitIndex0) | (~v130(constB91, bitIndex2))) | v130(constB91, bitIndex2)),
% 7.60/5.56 inference(tautology,[status(thm)],[])).
% 7.60/5.56 tff(12253,plain,
% 7.60/5.56 (v130(constB91, bitIndex2)),
% 7.60/5.56 inference(unit_resolution,[status(thm)],[12252, 12251])).
% 7.60/5.56 tff(12254,plain,
% 7.60/5.56 (((~v127(constB91, bitIndex2)) <=> v130(constB91, bitIndex2)) | v127(constB91, bitIndex2) | (~v130(constB91, bitIndex2))),
% 7.60/5.56 inference(tautology,[status(thm)],[])).
% 7.60/5.56 tff(12255,plain,
% 7.60/5.56 (v127(constB91, bitIndex2)),
% 7.60/5.56 inference(unit_resolution,[status(thm)],[12254, 12253, 11120])).
% 7.60/5.56 tff(12256,plain,
% 7.60/5.56 (((~v129(constB92, bitIndex2)) <=> v127(constB91, bitIndex2)) | v129(constB92, bitIndex2) | (~v127(constB91, bitIndex2))),
% 7.60/5.56 inference(tautology,[status(thm)],[])).
% 7.60/5.56 tff(12257,plain,
% 7.60/5.56 (v129(constB92, bitIndex2)),
% 7.60/5.56 inference(unit_resolution,[status(thm)],[12256, 12255, 11106])).
% 7.60/5.56 tff(12258,plain,
% 7.60/5.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB91, constB92)) | (v100(constB92) <=> (~((~v101(constB92)) | (~v110(constB92))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB91, constB92)) | (v100(constB92) <=> (~((~v101(constB92)) | (~v110(constB92))))))),
% 7.60/5.56 inference(rewrite,[status(thm)],[])).
% 7.60/5.56 tff(12259,plain,
% 7.60/5.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB91, constB92)) | (v100(constB92) <=> (~((~v101(constB92)) | (~v110(constB92))))))),
% 7.60/5.56 inference(quant_inst,[status(thm)],[])).
% 7.60/5.56 tff(12260,plain,
% 7.60/5.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB91, constB92)) | (v100(constB92) <=> (~((~v101(constB92)) | (~v110(constB92)))))),
% 7.60/5.56 inference(modus_ponens,[status(thm)],[12259, 12258])).
% 7.60/5.56 tff(12261,plain,
% 7.60/5.56 (v100(constB92) <=> (~((~v101(constB92)) | (~v110(constB92))))),
% 7.60/5.56 inference(unit_resolution,[status(thm)],[12260, 11100, 445])).
% 7.60/5.56 tff(12262,plain,
% 7.60/5.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB91, constB92)) | (v101(constB92) <=> (~((~v1(constB92)) | (~v102(constB92))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB91, constB92)) | (v101(constB92) <=> (~((~v1(constB92)) | (~v102(constB92))))))),
% 7.60/5.56 inference(rewrite,[status(thm)],[])).
% 7.60/5.56 tff(12263,plain,
% 7.60/5.56 (((~nextState(constB91, constB92)) | (v101(constB92) <=> (~((~v102(constB92)) | (~v1(constB92)))))) <=> ((~nextState(constB91, constB92)) | (v101(constB92) <=> (~((~v1(constB92)) | (~v102(constB92))))))),
% 7.60/5.56 inference(rewrite,[status(thm)],[])).
% 7.60/5.56 tff(12264,plain,
% 7.60/5.56 (((~![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) <=> (~((~v1(constB92)) | (~v102(constB92)))))))),
% 7.60/5.56 inference(monotonicity,[status(thm)],[12263])).
% 7.60/5.56 tff(12265,plain,
% 7.60/5.56 (((~![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) <=> (~((~v1(constB92)) | (~v102(constB92))))))),
% 7.60/5.56 inference(transitivity,[status(thm)],[12264, 12262])).
% 7.60/5.56 tff(12266,plain,
% 7.60/5.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB91, constB92)) | (v101(constB92) <=> (~((~v102(constB92)) | (~v1(constB92))))))),
% 7.60/5.56 inference(quant_inst,[status(thm)],[])).
% 7.60/5.56 tff(12267,plain,
% 7.60/5.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB91, constB92)) | (v101(constB92) <=> (~((~v1(constB92)) | (~v102(constB92)))))),
% 7.60/5.56 inference(modus_ponens,[status(thm)],[12266, 12265])).
% 7.60/5.56 tff(12268,plain,
% 7.60/5.56 (v101(constB92) <=> (~((~v1(constB92)) | (~v102(constB92))))),
% 7.60/5.56 inference(unit_resolution,[status(thm)],[12267, 11100, 465])).
% 7.60/5.56 tff(12269,plain,
% 7.60/5.56 (((~![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)))),
% 7.60/5.56 inference(rewrite,[status(thm)],[])).
% 7.60/5.56 tff(12270,plain,
% 7.60/5.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB91, constB92)) | ((~v102(constB92)) <=> v104(constB92)))),
% 7.60/5.56 inference(quant_inst,[status(thm)],[])).
% 7.60/5.56 tff(12271,plain,
% 7.60/5.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB91, constB92)) | ((~v102(constB92)) <=> v104(constB92))),
% 7.60/5.56 inference(modus_ponens,[status(thm)],[12270, 12269])).
% 7.60/5.56 tff(12272,plain,
% 7.60/5.56 ((~v102(constB92)) <=> v104(constB92)),
% 7.60/5.56 inference(unit_resolution,[status(thm)],[12271, 11100, 3244])).
% 7.60/5.56 tff(12273,plain,
% 7.60/5.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB91, constB92)) | (v104(constB92) <=> v1(constB91)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB91, constB92)) | (v104(constB92) <=> v1(constB91)))),
% 7.60/5.56 inference(rewrite,[status(thm)],[])).
% 7.60/5.56 tff(12274,plain,
% 7.60/5.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB91, constB92)) | (v104(constB92) <=> v1(constB91)))),
% 7.60/5.56 inference(quant_inst,[status(thm)],[])).
% 7.60/5.56 tff(12275,plain,
% 7.60/5.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB91, constB92)) | (v104(constB92) <=> v1(constB91))),
% 7.60/5.56 inference(modus_ponens,[status(thm)],[12274, 12273])).
% 7.60/5.56 tff(12276,plain,
% 7.60/5.56 (v104(constB92) <=> v1(constB91)),
% 7.60/5.56 inference(unit_resolution,[status(thm)],[12275, 11100, 3258])).
% 7.60/5.56 tff(12277,plain,
% 7.60/5.56 ((~(v104(constB92) <=> v1(constB91))) | (~v104(constB92)) | v1(constB91)),
% 7.60/5.56 inference(tautology,[status(thm)],[])).
% 7.60/5.56 tff(12278,plain,
% 7.60/5.56 ((~(v104(constB92) <=> v1(constB91))) | (~v104(constB92))),
% 7.60/5.56 inference(unit_resolution,[status(thm)],[12277, 11144])).
% 7.60/5.56 tff(12279,plain,
% 7.60/5.56 (~v104(constB92)),
% 7.60/5.56 inference(unit_resolution,[status(thm)],[12278, 12276])).
% 7.60/5.56 tff(12280,plain,
% 7.60/5.56 ((~((~v102(constB92)) <=> v104(constB92))) | v102(constB92) | v104(constB92)),
% 7.60/5.56 inference(tautology,[status(thm)],[])).
% 7.60/5.56 tff(12281,plain,
% 7.60/5.56 (v102(constB92)),
% 7.60/5.56 inference(unit_resolution,[status(thm)],[12280, 12279, 12272])).
% 7.60/5.56 tff(12282,plain,
% 7.60/5.56 (v1(constB92) <=> v1(constB92)),
% 7.60/5.56 inference(rewrite,[status(thm)],[])).
% 7.60/5.56 tff(12283,axiom,(v1(constB92)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_92')).
% 7.60/5.56 tff(12284,plain,
% 7.60/5.56 (v1(constB92)),
% 7.60/5.56 inference(modus_ponens,[status(thm)],[12283, 12282])).
% 7.60/5.56 tff(12285,plain,
% 7.60/5.56 ((~((~v1(constB92)) | (~v102(constB92)))) | (~v1(constB92)) | (~v102(constB92))),
% 7.60/5.56 inference(tautology,[status(thm)],[])).
% 7.60/5.56 tff(12286,plain,
% 7.60/5.56 ((~((~v1(constB92)) | (~v102(constB92)))) | (~v102(constB92))),
% 7.60/5.56 inference(unit_resolution,[status(thm)],[12285, 12284])).
% 7.60/5.56 tff(12287,plain,
% 7.60/5.56 (~((~v1(constB92)) | (~v102(constB92)))),
% 7.60/5.56 inference(unit_resolution,[status(thm)],[12286, 12281])).
% 7.60/5.56 tff(12288,plain,
% 7.60/5.56 ((~(v101(constB92) <=> (~((~v1(constB92)) | (~v102(constB92)))))) | v101(constB92) | ((~v1(constB92)) | (~v102(constB92)))),
% 7.60/5.56 inference(tautology,[status(thm)],[])).
% 7.60/5.56 tff(12289,plain,
% 7.60/5.56 (v101(constB92)),
% 7.60/5.56 inference(unit_resolution,[status(thm)],[12288, 12287, 12268])).
% 7.60/5.56 tff(12290,plain,
% 7.60/5.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB91, constB92)) | (v110(constB92) <=> v108(constB91)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB91, constB92)) | (v110(constB92) <=> v108(constB91)))),
% 7.60/5.56 inference(rewrite,[status(thm)],[])).
% 7.60/5.56 tff(12291,plain,
% 7.60/5.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB91, constB92)) | (v110(constB92) <=> v108(constB91)))),
% 7.60/5.56 inference(quant_inst,[status(thm)],[])).
% 7.60/5.56 tff(12292,plain,
% 7.60/5.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB91, constB92)) | (v110(constB92) <=> v108(constB91))),
% 7.60/5.56 inference(modus_ponens,[status(thm)],[12291, 12290])).
% 7.60/5.56 tff(12293,plain,
% 7.60/5.56 (v110(constB92) <=> v108(constB91)),
% 7.60/5.56 inference(unit_resolution,[status(thm)],[12292, 11100, 3285])).
% 7.60/5.56 tff(12294,plain,
% 7.60/5.56 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB91) <=> (v111(constB91) | v112(constB91)))),
% 7.60/5.56 inference(quant_inst,[status(thm)],[])).
% 7.60/5.56 tff(12295,plain,
% 7.60/5.56 (v108(constB91) <=> (v111(constB91) | v112(constB91))),
% 7.60/5.56 inference(unit_resolution,[status(thm)],[12294, 3296])).
% 7.60/5.56 tff(12296,plain,
% 7.60/5.56 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB91) <=> (~((~v113(constB91)) | (~v126(constB91)))))),
% 7.60/5.56 inference(quant_inst,[status(thm)],[])).
% 7.60/5.56 tff(12297,plain,
% 7.60/5.56 (v112(constB91) <=> (~((~v113(constB91)) | (~v126(constB91))))),
% 7.60/5.56 inference(unit_resolution,[status(thm)],[12296, 3308])).
% 7.60/5.56 tff(12298,plain,
% 7.60/5.56 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB91) <=> (v114(constB91) | v125(constB91)))),
% 7.60/5.56 inference(quant_inst,[status(thm)],[])).
% 7.60/5.56 tff(12299,plain,
% 7.60/5.56 (v113(constB91) <=> (v114(constB91) | v125(constB91))),
% 7.60/5.56 inference(unit_resolution,[status(thm)],[12298, 3317])).
% 7.60/5.56 tff(12300,plain,
% 7.60/5.56 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB91) <=> (v115(constB91) | v124(constB91)))),
% 7.60/5.56 inference(quant_inst,[status(thm)],[])).
% 7.60/5.56 tff(12301,plain,
% 7.60/5.56 (v114(constB91) <=> (v115(constB91) | v124(constB91))),
% 7.60/5.56 inference(unit_resolution,[status(thm)],[12300, 3326])).
% 7.60/5.56 tff(12302,plain,
% 7.60/5.56 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB91) <=> (v116(constB91) | v123(constB91)))),
% 7.60/5.56 inference(quant_inst,[status(thm)],[])).
% 7.60/5.56 tff(12303,plain,
% 7.60/5.56 (v115(constB91) <=> (v116(constB91) | v123(constB91))),
% 7.60/5.56 inference(unit_resolution,[status(thm)],[12302, 3335])).
% 7.60/5.56 tff(12304,plain,
% 7.60/5.56 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB91) <=> (v117(constB91) | v122(constB91)))),
% 7.60/5.56 inference(quant_inst,[status(thm)],[])).
% 7.60/5.56 tff(12305,plain,
% 7.60/5.56 (v116(constB91) <=> (v117(constB91) | v122(constB91))),
% 7.60/5.56 inference(unit_resolution,[status(thm)],[12304, 3344])).
% 7.60/5.56 tff(12306,plain,
% 7.60/5.56 ((v117(constB91) | v122(constB91)) | (~v122(constB91))),
% 7.60/5.56 inference(tautology,[status(thm)],[])).
% 7.60/5.56 tff(12307,plain,
% 7.60/5.56 (v117(constB91) | v122(constB91)),
% 7.60/5.56 inference(unit_resolution,[status(thm)],[12306, 12243])).
% 7.60/5.56 tff(12308,plain,
% 7.60/5.56 ((~(v116(constB91) <=> (v117(constB91) | v122(constB91)))) | v116(constB91) | (~(v117(constB91) | v122(constB91)))),
% 7.60/5.56 inference(tautology,[status(thm)],[])).
% 7.60/5.56 tff(12309,plain,
% 7.60/5.56 (v116(constB91)),
% 7.60/5.56 inference(unit_resolution,[status(thm)],[12308, 12307, 12305])).
% 7.60/5.56 tff(12310,plain,
% 7.60/5.56 ((v116(constB91) | v123(constB91)) | (~v116(constB91))),
% 7.60/5.56 inference(tautology,[status(thm)],[])).
% 7.60/5.56 tff(12311,plain,
% 7.60/5.56 (v116(constB91) | v123(constB91)),
% 7.60/5.56 inference(unit_resolution,[status(thm)],[12310, 12309])).
% 7.60/5.56 tff(12312,plain,
% 7.60/5.56 ((~(v115(constB91) <=> (v116(constB91) | v123(constB91)))) | v115(constB91) | (~(v116(constB91) | v123(constB91)))),
% 7.60/5.56 inference(tautology,[status(thm)],[])).
% 7.60/5.56 tff(12313,plain,
% 7.60/5.56 (v115(constB91)),
% 7.60/5.56 inference(unit_resolution,[status(thm)],[12312, 12311, 12303])).
% 7.60/5.56 tff(12314,plain,
% 7.60/5.56 ((v115(constB91) | v124(constB91)) | (~v115(constB91))),
% 7.60/5.56 inference(tautology,[status(thm)],[])).
% 7.60/5.56 tff(12315,plain,
% 7.60/5.56 (v115(constB91) | v124(constB91)),
% 7.60/5.56 inference(unit_resolution,[status(thm)],[12314, 12313])).
% 7.60/5.56 tff(12316,plain,
% 7.60/5.56 ((~(v114(constB91) <=> (v115(constB91) | v124(constB91)))) | v114(constB91) | (~(v115(constB91) | v124(constB91)))),
% 7.60/5.56 inference(tautology,[status(thm)],[])).
% 7.60/5.56 tff(12317,plain,
% 7.60/5.56 (v114(constB91)),
% 7.60/5.56 inference(unit_resolution,[status(thm)],[12316, 12315, 12301])).
% 7.60/5.56 tff(12318,plain,
% 7.60/5.56 ((v114(constB91) | v125(constB91)) | (~v114(constB91))),
% 7.60/5.56 inference(tautology,[status(thm)],[])).
% 7.60/5.56 tff(12319,plain,
% 7.60/5.56 (v114(constB91) | v125(constB91)),
% 7.60/5.56 inference(unit_resolution,[status(thm)],[12318, 12317])).
% 7.60/5.56 tff(12320,plain,
% 7.60/5.56 ((~(v113(constB91) <=> (v114(constB91) | v125(constB91)))) | v113(constB91) | (~(v114(constB91) | v125(constB91)))),
% 7.60/5.56 inference(tautology,[status(thm)],[])).
% 7.60/5.56 tff(12321,plain,
% 7.60/5.56 (v113(constB91)),
% 7.60/5.56 inference(unit_resolution,[status(thm)],[12320, 12319, 12299])).
% 7.60/5.56 tff(12322,plain,
% 7.60/5.56 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB91)) <=> v111(constB91))),
% 7.60/5.56 inference(quant_inst,[status(thm)],[])).
% 7.60/5.56 tff(12323,plain,
% 7.60/5.56 ((~v126(constB91)) <=> v111(constB91)),
% 7.60/5.56 inference(unit_resolution,[status(thm)],[12322, 3396])).
% 7.60/5.56 tff(12324,plain,
% 7.60/5.56 ((~((~v126(constB91)) <=> v111(constB91))) | v126(constB91) | v111(constB91)),
% 7.60/5.56 inference(tautology,[status(thm)],[])).
% 7.60/5.56 tff(12325,plain,
% 7.60/5.56 ((~((~v126(constB91)) <=> v111(constB91))) | v126(constB91)),
% 7.60/5.56 inference(unit_resolution,[status(thm)],[12324, 11113])).
% 7.60/5.56 tff(12326,plain,
% 7.60/5.56 (v126(constB91)),
% 7.60/5.56 inference(unit_resolution,[status(thm)],[12325, 12323])).
% 7.60/5.56 tff(12327,plain,
% 7.60/5.56 ((~((~v113(constB91)) | (~v126(constB91)))) | (~v113(constB91)) | (~v126(constB91))),
% 7.60/5.56 inference(tautology,[status(thm)],[])).
% 7.60/5.56 tff(12328,plain,
% 7.60/5.56 ((~((~v113(constB91)) | (~v126(constB91)))) | (~v113(constB91))),
% 7.60/5.56 inference(unit_resolution,[status(thm)],[12327, 12326])).
% 7.60/5.56 tff(12329,plain,
% 7.60/5.56 (~((~v113(constB91)) | (~v126(constB91)))),
% 7.60/5.56 inference(unit_resolution,[status(thm)],[12328, 12321])).
% 7.60/5.56 tff(12330,plain,
% 7.60/5.56 ((~(v112(constB91) <=> (~((~v113(constB91)) | (~v126(constB91)))))) | v112(constB91) | ((~v113(constB91)) | (~v126(constB91)))),
% 7.60/5.56 inference(tautology,[status(thm)],[])).
% 7.60/5.56 tff(12331,plain,
% 7.60/5.56 (v112(constB91)),
% 7.60/5.56 inference(unit_resolution,[status(thm)],[12330, 12329, 12297])).
% 7.60/5.56 tff(12332,plain,
% 7.60/5.56 ((v111(constB91) | v112(constB91)) | (~v112(constB91))),
% 7.60/5.56 inference(tautology,[status(thm)],[])).
% 7.60/5.56 tff(12333,plain,
% 7.60/5.56 (v111(constB91) | v112(constB91)),
% 7.60/5.56 inference(unit_resolution,[status(thm)],[12332, 12331])).
% 7.60/5.56 tff(12334,plain,
% 7.60/5.56 ((~(v108(constB91) <=> (v111(constB91) | v112(constB91)))) | v108(constB91) | (~(v111(constB91) | v112(constB91)))),
% 7.60/5.56 inference(tautology,[status(thm)],[])).
% 7.60/5.56 tff(12335,plain,
% 7.60/5.56 (v108(constB91)),
% 7.60/5.56 inference(unit_resolution,[status(thm)],[12334, 12333, 12295])).
% 7.60/5.56 tff(12336,plain,
% 7.60/5.56 ((~(v110(constB92) <=> v108(constB91))) | v110(constB92) | (~v108(constB91))),
% 7.60/5.56 inference(tautology,[status(thm)],[])).
% 7.60/5.56 tff(12337,plain,
% 7.60/5.56 (v110(constB92)),
% 7.60/5.56 inference(unit_resolution,[status(thm)],[12336, 12335, 12293])).
% 7.60/5.56 tff(12338,plain,
% 7.60/5.56 ((~((~v101(constB92)) | (~v110(constB92)))) | (~v101(constB92)) | (~v110(constB92))),
% 7.60/5.56 inference(tautology,[status(thm)],[])).
% 7.60/5.56 tff(12339,plain,
% 7.60/5.56 (~((~v101(constB92)) | (~v110(constB92)))),
% 7.60/5.56 inference(unit_resolution,[status(thm)],[12338, 12337, 12289])).
% 7.60/5.56 tff(12340,plain,
% 7.60/5.56 ((~(v100(constB92) <=> (~((~v101(constB92)) | (~v110(constB92)))))) | v100(constB92) | ((~v101(constB92)) | (~v110(constB92)))),
% 7.60/5.56 inference(tautology,[status(thm)],[])).
% 7.60/5.56 tff(12341,plain,
% 7.60/5.56 (v100(constB92)),
% 7.60/5.56 inference(unit_resolution,[status(thm)],[12340, 12339, 12261])).
% 7.60/5.56 tff(12342,plain,
% 7.60/5.57 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB92)) | (~(((~v90(constB92, bitIndex2)) <=> v129(constB92, bitIndex2)) | ((~v90(constB92, bitIndex1)) <=> v129(constB92, bitIndex1)) | ((~v90(constB92, bitIndex0)) <=> v129(constB92, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB92)) | (~(((~v90(constB92, bitIndex2)) <=> v129(constB92, bitIndex2)) | ((~v90(constB92, bitIndex1)) <=> v129(constB92, bitIndex1)) | ((~v90(constB92, bitIndex0)) <=> v129(constB92, bitIndex0)))))),
% 7.60/5.57 inference(rewrite,[status(thm)],[])).
% 7.60/5.57 tff(12343,plain,
% 7.60/5.57 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB92)) | (~(((~v90(constB92, bitIndex2)) <=> v129(constB92, bitIndex2)) | ((~v90(constB92, bitIndex1)) <=> v129(constB92, bitIndex1)) | ((~v90(constB92, bitIndex0)) <=> v129(constB92, bitIndex0)))))),
% 7.60/5.57 inference(quant_inst,[status(thm)],[])).
% 7.60/5.57 tff(12344,plain,
% 7.60/5.57 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB92)) | (~(((~v90(constB92, bitIndex2)) <=> v129(constB92, bitIndex2)) | ((~v90(constB92, bitIndex1)) <=> v129(constB92, bitIndex1)) | ((~v90(constB92, bitIndex0)) <=> v129(constB92, bitIndex0))))),
% 7.60/5.57 inference(modus_ponens,[status(thm)],[12343, 12342])).
% 7.60/5.57 tff(12345,plain,
% 7.60/5.57 ((~v100(constB92)) | (~(((~v90(constB92, bitIndex2)) <=> v129(constB92, bitIndex2)) | ((~v90(constB92, bitIndex1)) <=> v129(constB92, bitIndex1)) | ((~v90(constB92, bitIndex0)) <=> v129(constB92, bitIndex0))))),
% 7.60/5.57 inference(unit_resolution,[status(thm)],[12344, 3429])).
% 7.60/5.57 tff(12346,plain,
% 7.60/5.57 (~(((~v90(constB92, bitIndex2)) <=> v129(constB92, bitIndex2)) | ((~v90(constB92, bitIndex1)) <=> v129(constB92, bitIndex1)) | ((~v90(constB92, bitIndex0)) <=> v129(constB92, bitIndex0)))),
% 7.60/5.57 inference(unit_resolution,[status(thm)],[12345, 12341])).
% 7.60/5.57 tff(12347,plain,
% 7.60/5.57 ((((~v90(constB92, bitIndex2)) <=> v129(constB92, bitIndex2)) | ((~v90(constB92, bitIndex1)) <=> v129(constB92, bitIndex1)) | ((~v90(constB92, bitIndex0)) <=> v129(constB92, bitIndex0))) | (~((~v90(constB92, bitIndex2)) <=> v129(constB92, bitIndex2)))),
% 7.60/5.57 inference(tautology,[status(thm)],[])).
% 7.60/5.57 tff(12348,plain,
% 7.60/5.57 (~((~v90(constB92, bitIndex2)) <=> v129(constB92, bitIndex2))),
% 7.60/5.57 inference(unit_resolution,[status(thm)],[12347, 12346])).
% 7.60/5.57 tff(12349,plain,
% 7.60/5.57 (((~v90(constB92, bitIndex2)) <=> v129(constB92, bitIndex2)) | v90(constB92, bitIndex2) | (~v129(constB92, bitIndex2))),
% 7.60/5.57 inference(tautology,[status(thm)],[])).
% 7.60/5.57 tff(12350,plain,
% 7.60/5.57 (v90(constB92, bitIndex2)),
% 7.60/5.57 inference(unit_resolution,[status(thm)],[12349, 12348, 12257])).
% 7.60/5.57 tff(12351,plain,
% 7.60/5.57 (((~v90(constB93, bitIndex2)) <=> v90(constB92, bitIndex2)) | v90(constB93, bitIndex2) | (~v90(constB92, bitIndex2))),
% 7.60/5.57 inference(tautology,[status(thm)],[])).
% 7.60/5.57 tff(12352,plain,
% 7.60/5.57 (v90(constB93, bitIndex2)),
% 7.60/5.57 inference(unit_resolution,[status(thm)],[12351, 12350, 11097])).
% 7.60/5.57 tff(12353,plain,
% 7.60/5.57 ((((~v90(constB93, bitIndex1)) <=> v90(constB92, bitIndex1)) | ((~v90(constB93, bitIndex2)) <=> v90(constB92, bitIndex2)) | ((~v90(constB93, bitIndex0)) <=> v90(constB92, bitIndex0))) | (~((~v90(constB93, bitIndex0)) <=> v90(constB92, bitIndex0)))),
% 7.60/5.57 inference(tautology,[status(thm)],[])).
% 7.60/5.57 tff(12354,plain,
% 7.60/5.57 (~((~v90(constB93, bitIndex0)) <=> v90(constB92, bitIndex0))),
% 7.60/5.57 inference(unit_resolution,[status(thm)],[12353, 11095])).
% 7.60/5.57 tff(12355,plain,
% 7.60/5.57 ((((~v129(constB92, bitIndex2)) <=> v127(constB91, bitIndex2)) | ((~v129(constB92, bitIndex1)) <=> v127(constB91, bitIndex1)) | ((~v129(constB92, bitIndex0)) <=> v127(constB91, bitIndex0))) | (~((~v129(constB92, bitIndex0)) <=> v127(constB91, bitIndex0)))),
% 7.60/5.57 inference(tautology,[status(thm)],[])).
% 7.60/5.57 tff(12356,plain,
% 7.60/5.57 (~((~v129(constB92, bitIndex0)) <=> v127(constB91, bitIndex0))),
% 7.60/5.57 inference(unit_resolution,[status(thm)],[12355, 11104])).
% 7.60/5.57 tff(12357,plain,
% 7.60/5.57 ((((~v127(constB91, bitIndex2)) <=> v130(constB91, bitIndex2)) | ((~v127(constB91, bitIndex1)) <=> v130(constB91, bitIndex1)) | ((~v127(constB91, bitIndex0)) <=> v130(constB91, bitIndex0))) | (~((~v127(constB91, bitIndex0)) <=> v130(constB91, bitIndex0)))),
% 7.60/5.57 inference(tautology,[status(thm)],[])).
% 7.60/5.57 tff(12358,plain,
% 7.60/5.57 (~((~v127(constB91, bitIndex0)) <=> v130(constB91, bitIndex0))),
% 7.60/5.57 inference(unit_resolution,[status(thm)],[12357, 11118])).
% 7.60/5.57 tff(12359,plain,
% 7.60/5.57 ((v130(constB91, bitIndex1) | v130(constB91, bitIndex0) | (~v130(constB91, bitIndex2))) | (~v130(constB91, bitIndex0))),
% 7.60/5.57 inference(tautology,[status(thm)],[])).
% 7.60/5.57 tff(12360,plain,
% 7.60/5.57 (~v130(constB91, bitIndex0)),
% 7.60/5.57 inference(unit_resolution,[status(thm)],[12359, 12251])).
% 7.60/5.57 tff(12361,plain,
% 7.60/5.57 (((~v127(constB91, bitIndex0)) <=> v130(constB91, bitIndex0)) | (~v127(constB91, bitIndex0)) | v130(constB91, bitIndex0)),
% 7.60/5.57 inference(tautology,[status(thm)],[])).
% 7.60/5.57 tff(12362,plain,
% 7.60/5.57 (~v127(constB91, bitIndex0)),
% 7.60/5.57 inference(unit_resolution,[status(thm)],[12361, 12360, 12358])).
% 7.60/5.57 tff(12363,plain,
% 7.60/5.57 (((~v129(constB92, bitIndex0)) <=> v127(constB91, bitIndex0)) | (~v129(constB92, bitIndex0)) | v127(constB91, bitIndex0)),
% 7.60/5.57 inference(tautology,[status(thm)],[])).
% 7.60/5.57 tff(12364,plain,
% 7.60/5.57 (~v129(constB92, bitIndex0)),
% 7.60/5.57 inference(unit_resolution,[status(thm)],[12363, 12362, 12356])).
% 7.60/5.57 tff(12365,plain,
% 7.60/5.57 ((((~v90(constB92, bitIndex2)) <=> v129(constB92, bitIndex2)) | ((~v90(constB92, bitIndex1)) <=> v129(constB92, bitIndex1)) | ((~v90(constB92, bitIndex0)) <=> v129(constB92, bitIndex0))) | (~((~v90(constB92, bitIndex0)) <=> v129(constB92, bitIndex0)))),
% 7.60/5.57 inference(tautology,[status(thm)],[])).
% 7.60/5.57 tff(12366,plain,
% 7.60/5.57 (~((~v90(constB92, bitIndex0)) <=> v129(constB92, bitIndex0))),
% 7.60/5.57 inference(unit_resolution,[status(thm)],[12365, 12346])).
% 7.60/5.57 tff(12367,plain,
% 7.60/5.57 (((~v90(constB92, bitIndex0)) <=> v129(constB92, bitIndex0)) | (~v90(constB92, bitIndex0)) | v129(constB92, bitIndex0)),
% 7.60/5.57 inference(tautology,[status(thm)],[])).
% 7.60/5.57 tff(12368,plain,
% 7.60/5.57 (~v90(constB92, bitIndex0)),
% 7.60/5.57 inference(unit_resolution,[status(thm)],[12367, 12366, 12364])).
% 7.60/5.57 tff(12369,plain,
% 7.60/5.57 (((~v90(constB93, bitIndex0)) <=> v90(constB92, bitIndex0)) | (~v90(constB93, bitIndex0)) | v90(constB92, bitIndex0)),
% 7.60/5.57 inference(tautology,[status(thm)],[])).
% 7.60/5.57 tff(12370,plain,
% 7.60/5.57 (~v90(constB93, bitIndex0)),
% 7.60/5.57 inference(unit_resolution,[status(thm)],[12369, 12368, 12354])).
% 7.60/5.57 tff(12371,plain,
% 7.60/5.57 ((((~v90(constB93, bitIndex1)) <=> v90(constB92, bitIndex1)) | ((~v90(constB93, bitIndex2)) <=> v90(constB92, bitIndex2)) | ((~v90(constB93, bitIndex0)) <=> v90(constB92, bitIndex0))) | (~((~v90(constB93, bitIndex1)) <=> v90(constB92, bitIndex1)))),
% 7.60/5.57 inference(tautology,[status(thm)],[])).
% 7.60/5.57 tff(12372,plain,
% 7.60/5.57 (~((~v90(constB93, bitIndex1)) <=> v90(constB92, bitIndex1))),
% 7.60/5.57 inference(unit_resolution,[status(thm)],[12371, 11095])).
% 7.60/5.57 tff(12373,plain,
% 7.60/5.57 ((((~v129(constB92, bitIndex2)) <=> v127(constB91, bitIndex2)) | ((~v129(constB92, bitIndex1)) <=> v127(constB91, bitIndex1)) | ((~v129(constB92, bitIndex0)) <=> v127(constB91, bitIndex0))) | (~((~v129(constB92, bitIndex1)) <=> v127(constB91, bitIndex1)))),
% 7.60/5.57 inference(tautology,[status(thm)],[])).
% 7.60/5.57 tff(12374,plain,
% 7.60/5.57 (~((~v129(constB92, bitIndex1)) <=> v127(constB91, bitIndex1))),
% 7.60/5.57 inference(unit_resolution,[status(thm)],[12373, 11104])).
% 7.60/5.57 tff(12375,plain,
% 7.60/5.57 ((((~v127(constB91, bitIndex2)) <=> v130(constB91, bitIndex2)) | ((~v127(constB91, bitIndex1)) <=> v130(constB91, bitIndex1)) | ((~v127(constB91, bitIndex0)) <=> v130(constB91, bitIndex0))) | (~((~v127(constB91, bitIndex1)) <=> v130(constB91, bitIndex1)))),
% 7.60/5.57 inference(tautology,[status(thm)],[])).
% 7.60/5.57 tff(12376,plain,
% 7.60/5.57 (~((~v127(constB91, bitIndex1)) <=> v130(constB91, bitIndex1))),
% 7.60/5.57 inference(unit_resolution,[status(thm)],[12375, 11118])).
% 7.60/5.57 tff(12377,plain,
% 7.60/5.57 ((v130(constB91, bitIndex1) | v130(constB91, bitIndex0) | (~v130(constB91, bitIndex2))) | (~v130(constB91, bitIndex1))),
% 7.60/5.57 inference(tautology,[status(thm)],[])).
% 7.60/5.57 tff(12378,plain,
% 7.60/5.57 (~v130(constB91, bitIndex1)),
% 7.60/5.57 inference(unit_resolution,[status(thm)],[12377, 12251])).
% 7.60/5.57 tff(12379,plain,
% 7.60/5.57 (((~v127(constB91, bitIndex1)) <=> v130(constB91, bitIndex1)) | (~v127(constB91, bitIndex1)) | v130(constB91, bitIndex1)),
% 7.60/5.57 inference(tautology,[status(thm)],[])).
% 7.60/5.57 tff(12380,plain,
% 7.60/5.57 (~v127(constB91, bitIndex1)),
% 7.60/5.57 inference(unit_resolution,[status(thm)],[12379, 12378, 12376])).
% 7.60/5.57 tff(12381,plain,
% 7.60/5.57 (((~v129(constB92, bitIndex1)) <=> v127(constB91, bitIndex1)) | (~v129(constB92, bitIndex1)) | v127(constB91, bitIndex1)),
% 7.60/5.57 inference(tautology,[status(thm)],[])).
% 7.60/5.57 tff(12382,plain,
% 7.60/5.57 (~v129(constB92, bitIndex1)),
% 7.60/5.57 inference(unit_resolution,[status(thm)],[12381, 12380, 12374])).
% 7.60/5.57 tff(12383,plain,
% 7.60/5.57 ((((~v90(constB92, bitIndex2)) <=> v129(constB92, bitIndex2)) | ((~v90(constB92, bitIndex1)) <=> v129(constB92, bitIndex1)) | ((~v90(constB92, bitIndex0)) <=> v129(constB92, bitIndex0))) | (~((~v90(constB92, bitIndex1)) <=> v129(constB92, bitIndex1)))),
% 7.60/5.57 inference(tautology,[status(thm)],[])).
% 7.60/5.57 tff(12384,plain,
% 7.60/5.57 (~((~v90(constB92, bitIndex1)) <=> v129(constB92, bitIndex1))),
% 7.60/5.57 inference(unit_resolution,[status(thm)],[12383, 12346])).
% 7.60/5.57 tff(12385,plain,
% 7.60/5.57 (((~v90(constB92, bitIndex1)) <=> v129(constB92, bitIndex1)) | (~v90(constB92, bitIndex1)) | v129(constB92, bitIndex1)),
% 7.60/5.57 inference(tautology,[status(thm)],[])).
% 7.60/5.57 tff(12386,plain,
% 7.60/5.57 (~v90(constB92, bitIndex1)),
% 7.60/5.57 inference(unit_resolution,[status(thm)],[12385, 12384, 12382])).
% 7.60/5.57 tff(12387,plain,
% 7.60/5.57 (((~v90(constB93, bitIndex1)) <=> v90(constB92, bitIndex1)) | (~v90(constB93, bitIndex1)) | v90(constB92, bitIndex1)),
% 7.60/5.57 inference(tautology,[status(thm)],[])).
% 7.60/5.57 tff(12388,plain,
% 7.60/5.57 (~v90(constB93, bitIndex1)),
% 7.60/5.57 inference(unit_resolution,[status(thm)],[12387, 12386, 12372])).
% 7.60/5.57 tff(12389,plain,
% 7.60/5.57 ((~(v90(constB93, bitIndex1) | v90(constB93, bitIndex0) | (~v90(constB93, bitIndex2)))) | v90(constB93, bitIndex1) | v90(constB93, bitIndex0) | (~v90(constB93, bitIndex2))),
% 7.60/5.57 inference(tautology,[status(thm)],[])).
% 7.60/5.57 tff(12390,plain,
% 7.60/5.57 (~(v90(constB93, bitIndex1) | v90(constB93, bitIndex0) | (~v90(constB93, bitIndex2)))),
% 7.60/5.57 inference(unit_resolution,[status(thm)],[12389, 12388, 12370, 12352])).
% 7.60/5.57 tff(12391,plain,
% 7.60/5.57 ((~(v123(constB93) <=> (~(v90(constB93, bitIndex1) | v90(constB93, bitIndex0) | (~v90(constB93, bitIndex2)))))) | v123(constB93) | (v90(constB93, bitIndex1) | v90(constB93, bitIndex0) | (~v90(constB93, bitIndex2)))),
% 7.60/5.57 inference(tautology,[status(thm)],[])).
% 7.60/5.57 tff(12392,plain,
% 7.60/5.57 (v123(constB93)),
% 7.60/5.57 inference(unit_resolution,[status(thm)],[12391, 12390, 11061])).
% 7.60/5.57 tff(12393,plain,
% 7.60/5.57 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | ((~v123(constB93)) | (~(v130(constB93, bitIndex0) | (~v130(constB93, bitIndex2)) | (~v130(constB93, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | (~v123(constB93)) | (~(v130(constB93, bitIndex0) | (~v130(constB93, bitIndex2)) | (~v130(constB93, bitIndex1)))))),
% 7.60/5.57 inference(rewrite,[status(thm)],[])).
% 7.60/5.57 tff(12394,plain,
% 7.60/5.57 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | ((~v123(constB93)) | (~(v130(constB93, bitIndex0) | (~v130(constB93, bitIndex2)) | (~v130(constB93, bitIndex1)))))),
% 7.60/5.57 inference(quant_inst,[status(thm)],[])).
% 7.60/5.57 tff(12395,plain,
% 7.60/5.57 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | (~v123(constB93)) | (~(v130(constB93, bitIndex0) | (~v130(constB93, bitIndex2)) | (~v130(constB93, bitIndex1))))),
% 7.60/5.57 inference(modus_ponens,[status(thm)],[12394, 12393])).
% 7.60/5.57 tff(12396,plain,
% 7.60/5.57 ((~v123(constB93)) | (~(v130(constB93, bitIndex0) | (~v130(constB93, bitIndex2)) | (~v130(constB93, bitIndex1))))),
% 7.60/5.57 inference(unit_resolution,[status(thm)],[12395, 3496])).
% 7.60/5.57 tff(12397,plain,
% 7.60/5.57 (~(v130(constB93, bitIndex0) | (~v130(constB93, bitIndex2)) | (~v130(constB93, bitIndex1)))),
% 7.60/5.57 inference(unit_resolution,[status(thm)],[12396, 12392])).
% 7.60/5.57 tff(12398,plain,
% 7.60/5.57 ((v130(constB93, bitIndex0) | (~v130(constB93, bitIndex2)) | (~v130(constB93, bitIndex1))) | (~v130(constB93, bitIndex0))),
% 7.60/5.57 inference(tautology,[status(thm)],[])).
% 7.60/5.57 tff(12399,plain,
% 7.60/5.57 (~v130(constB93, bitIndex0)),
% 7.60/5.57 inference(unit_resolution,[status(thm)],[12398, 12397])).
% 7.60/5.57 tff(12400,plain,
% 7.60/5.57 (((~v127(constB93, bitIndex0)) <=> v130(constB93, bitIndex0)) | (~v127(constB93, bitIndex0)) | v130(constB93, bitIndex0)),
% 7.60/5.57 inference(tautology,[status(thm)],[])).
% 7.60/5.57 tff(12401,plain,
% 7.60/5.57 (~v127(constB93, bitIndex0)),
% 7.60/5.57 inference(unit_resolution,[status(thm)],[12400, 12399, 11054])).
% 7.60/5.57 tff(12402,plain,
% 7.60/5.57 (((~v129(constB94, bitIndex0)) <=> v127(constB93, bitIndex0)) | (~v129(constB94, bitIndex0)) | v127(constB93, bitIndex0)),
% 7.60/5.57 inference(tautology,[status(thm)],[])).
% 7.60/5.57 tff(12403,plain,
% 7.60/5.57 (~v129(constB94, bitIndex0)),
% 7.60/5.57 inference(unit_resolution,[status(thm)],[12402, 12401, 11040])).
% 7.60/5.57 tff(12404,plain,
% 7.60/5.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB93, constB94)) | (v100(constB94) <=> (~((~v101(constB94)) | (~v110(constB94))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB93, constB94)) | (v100(constB94) <=> (~((~v101(constB94)) | (~v110(constB94))))))),
% 7.60/5.57 inference(rewrite,[status(thm)],[])).
% 7.60/5.57 tff(12405,plain,
% 7.60/5.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB93, constB94)) | (v100(constB94) <=> (~((~v101(constB94)) | (~v110(constB94))))))),
% 7.60/5.57 inference(quant_inst,[status(thm)],[])).
% 7.60/5.57 tff(12406,plain,
% 7.60/5.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB93, constB94)) | (v100(constB94) <=> (~((~v101(constB94)) | (~v110(constB94)))))),
% 7.60/5.57 inference(modus_ponens,[status(thm)],[12405, 12404])).
% 7.60/5.57 tff(12407,plain,
% 7.60/5.57 (v100(constB94) <=> (~((~v101(constB94)) | (~v110(constB94))))),
% 7.60/5.57 inference(unit_resolution,[status(thm)],[12406, 11034, 445])).
% 7.60/5.57 tff(12408,plain,
% 7.60/5.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB93, constB94)) | (v101(constB94) <=> (~((~v1(constB94)) | (~v102(constB94))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB93, constB94)) | (v101(constB94) <=> (~((~v1(constB94)) | (~v102(constB94))))))),
% 7.60/5.57 inference(rewrite,[status(thm)],[])).
% 7.60/5.57 tff(12409,plain,
% 7.60/5.57 (((~nextState(constB93, constB94)) | (v101(constB94) <=> (~((~v102(constB94)) | (~v1(constB94)))))) <=> ((~nextState(constB93, constB94)) | (v101(constB94) <=> (~((~v1(constB94)) | (~v102(constB94))))))),
% 7.60/5.57 inference(rewrite,[status(thm)],[])).
% 7.60/5.57 tff(12410,plain,
% 7.60/5.57 (((~![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) <=> (~((~v1(constB94)) | (~v102(constB94)))))))),
% 7.60/5.57 inference(monotonicity,[status(thm)],[12409])).
% 7.60/5.57 tff(12411,plain,
% 7.60/5.57 (((~![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) <=> (~((~v1(constB94)) | (~v102(constB94))))))),
% 7.60/5.57 inference(transitivity,[status(thm)],[12410, 12408])).
% 7.60/5.57 tff(12412,plain,
% 7.60/5.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB93, constB94)) | (v101(constB94) <=> (~((~v102(constB94)) | (~v1(constB94))))))),
% 7.60/5.57 inference(quant_inst,[status(thm)],[])).
% 7.60/5.57 tff(12413,plain,
% 7.60/5.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB93, constB94)) | (v101(constB94) <=> (~((~v1(constB94)) | (~v102(constB94)))))),
% 7.60/5.57 inference(modus_ponens,[status(thm)],[12412, 12411])).
% 7.60/5.57 tff(12414,plain,
% 7.60/5.57 (v101(constB94) <=> (~((~v1(constB94)) | (~v102(constB94))))),
% 7.60/5.57 inference(unit_resolution,[status(thm)],[12413, 11034, 465])).
% 7.60/5.57 tff(12415,plain,
% 7.60/5.57 (((~![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)))),
% 7.60/5.57 inference(rewrite,[status(thm)],[])).
% 7.60/5.57 tff(12416,plain,
% 7.60/5.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB93, constB94)) | ((~v102(constB94)) <=> v104(constB94)))),
% 7.60/5.57 inference(quant_inst,[status(thm)],[])).
% 7.60/5.57 tff(12417,plain,
% 7.60/5.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB93, constB94)) | ((~v102(constB94)) <=> v104(constB94))),
% 7.60/5.57 inference(modus_ponens,[status(thm)],[12416, 12415])).
% 7.60/5.57 tff(12418,plain,
% 7.60/5.57 ((~v102(constB94)) <=> v104(constB94)),
% 7.60/5.57 inference(unit_resolution,[status(thm)],[12417, 11034, 3244])).
% 7.60/5.57 tff(12419,plain,
% 7.60/5.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB93, constB94)) | (v104(constB94) <=> v1(constB93)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB93, constB94)) | (v104(constB94) <=> v1(constB93)))),
% 7.60/5.57 inference(rewrite,[status(thm)],[])).
% 7.60/5.57 tff(12420,plain,
% 7.60/5.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB93, constB94)) | (v104(constB94) <=> v1(constB93)))),
% 7.60/5.57 inference(quant_inst,[status(thm)],[])).
% 7.60/5.57 tff(12421,plain,
% 7.60/5.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB93, constB94)) | (v104(constB94) <=> v1(constB93))),
% 7.60/5.57 inference(modus_ponens,[status(thm)],[12420, 12419])).
% 7.60/5.57 tff(12422,plain,
% 7.60/5.57 (v104(constB94) <=> v1(constB93)),
% 7.60/5.57 inference(unit_resolution,[status(thm)],[12421, 11034, 3258])).
% 7.60/5.57 tff(12423,plain,
% 7.60/5.57 ((~(v104(constB94) <=> v1(constB93))) | (~v104(constB94)) | v1(constB93)),
% 7.60/5.57 inference(tautology,[status(thm)],[])).
% 7.60/5.57 tff(12424,plain,
% 7.60/5.57 ((~(v104(constB94) <=> v1(constB93))) | (~v104(constB94))),
% 7.60/5.57 inference(unit_resolution,[status(thm)],[12423, 11078])).
% 7.60/5.57 tff(12425,plain,
% 7.60/5.57 (~v104(constB94)),
% 7.60/5.57 inference(unit_resolution,[status(thm)],[12424, 12422])).
% 7.60/5.57 tff(12426,plain,
% 7.60/5.57 ((~((~v102(constB94)) <=> v104(constB94))) | v102(constB94) | v104(constB94)),
% 7.60/5.57 inference(tautology,[status(thm)],[])).
% 7.60/5.57 tff(12427,plain,
% 7.60/5.57 (v102(constB94)),
% 7.60/5.57 inference(unit_resolution,[status(thm)],[12426, 12425, 12418])).
% 7.60/5.57 tff(12428,plain,
% 7.60/5.57 (v1(constB94) <=> v1(constB94)),
% 7.60/5.57 inference(rewrite,[status(thm)],[])).
% 7.60/5.57 tff(12429,axiom,(v1(constB94)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_94')).
% 7.60/5.57 tff(12430,plain,
% 7.60/5.57 (v1(constB94)),
% 7.60/5.57 inference(modus_ponens,[status(thm)],[12429, 12428])).
% 7.60/5.57 tff(12431,plain,
% 7.60/5.57 ((~((~v1(constB94)) | (~v102(constB94)))) | (~v1(constB94)) | (~v102(constB94))),
% 7.60/5.57 inference(tautology,[status(thm)],[])).
% 7.60/5.57 tff(12432,plain,
% 7.60/5.57 ((~((~v1(constB94)) | (~v102(constB94)))) | (~v102(constB94))),
% 7.60/5.57 inference(unit_resolution,[status(thm)],[12431, 12430])).
% 7.60/5.57 tff(12433,plain,
% 7.60/5.57 (~((~v1(constB94)) | (~v102(constB94)))),
% 7.60/5.57 inference(unit_resolution,[status(thm)],[12432, 12427])).
% 7.60/5.57 tff(12434,plain,
% 7.60/5.57 ((~(v101(constB94) <=> (~((~v1(constB94)) | (~v102(constB94)))))) | v101(constB94) | ((~v1(constB94)) | (~v102(constB94)))),
% 7.60/5.57 inference(tautology,[status(thm)],[])).
% 7.60/5.57 tff(12435,plain,
% 7.60/5.57 (v101(constB94)),
% 7.60/5.57 inference(unit_resolution,[status(thm)],[12434, 12433, 12414])).
% 7.60/5.57 tff(12436,plain,
% 7.60/5.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB93, constB94)) | (v110(constB94) <=> v108(constB93)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB93, constB94)) | (v110(constB94) <=> v108(constB93)))),
% 7.60/5.57 inference(rewrite,[status(thm)],[])).
% 7.60/5.57 tff(12437,plain,
% 7.60/5.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB93, constB94)) | (v110(constB94) <=> v108(constB93)))),
% 7.60/5.57 inference(quant_inst,[status(thm)],[])).
% 7.60/5.57 tff(12438,plain,
% 7.60/5.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB93, constB94)) | (v110(constB94) <=> v108(constB93))),
% 7.60/5.57 inference(modus_ponens,[status(thm)],[12437, 12436])).
% 7.60/5.57 tff(12439,plain,
% 7.60/5.57 (v110(constB94) <=> v108(constB93)),
% 7.60/5.57 inference(unit_resolution,[status(thm)],[12438, 11034, 3285])).
% 7.60/5.57 tff(12440,plain,
% 7.60/5.57 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB93) <=> (v111(constB93) | v112(constB93)))),
% 7.60/5.57 inference(quant_inst,[status(thm)],[])).
% 7.60/5.57 tff(12441,plain,
% 7.60/5.57 (v108(constB93) <=> (v111(constB93) | v112(constB93))),
% 7.60/5.57 inference(unit_resolution,[status(thm)],[12440, 3296])).
% 7.60/5.57 tff(12442,plain,
% 7.60/5.57 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB93) <=> (~((~v113(constB93)) | (~v126(constB93)))))),
% 7.60/5.57 inference(quant_inst,[status(thm)],[])).
% 7.60/5.57 tff(12443,plain,
% 7.60/5.57 (v112(constB93) <=> (~((~v113(constB93)) | (~v126(constB93))))),
% 7.60/5.57 inference(unit_resolution,[status(thm)],[12442, 3308])).
% 7.60/5.57 tff(12444,plain,
% 7.60/5.57 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB93) <=> (v114(constB93) | v125(constB93)))),
% 7.60/5.57 inference(quant_inst,[status(thm)],[])).
% 7.60/5.57 tff(12445,plain,
% 7.60/5.57 (v113(constB93) <=> (v114(constB93) | v125(constB93))),
% 7.60/5.57 inference(unit_resolution,[status(thm)],[12444, 3317])).
% 7.60/5.57 tff(12446,plain,
% 7.60/5.57 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB93) <=> (v115(constB93) | v124(constB93)))),
% 7.60/5.57 inference(quant_inst,[status(thm)],[])).
% 7.60/5.57 tff(12447,plain,
% 7.60/5.57 (v114(constB93) <=> (v115(constB93) | v124(constB93))),
% 7.60/5.57 inference(unit_resolution,[status(thm)],[12446, 3326])).
% 7.60/5.57 tff(12448,plain,
% 7.60/5.57 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB93) <=> (v116(constB93) | v123(constB93)))),
% 7.60/5.57 inference(quant_inst,[status(thm)],[])).
% 7.60/5.57 tff(12449,plain,
% 7.60/5.57 (v115(constB93) <=> (v116(constB93) | v123(constB93))),
% 7.60/5.57 inference(unit_resolution,[status(thm)],[12448, 3335])).
% 7.60/5.57 tff(12450,plain,
% 7.60/5.57 ((v116(constB93) | v123(constB93)) | (~v123(constB93))),
% 7.60/5.57 inference(tautology,[status(thm)],[])).
% 7.60/5.57 tff(12451,plain,
% 7.60/5.57 (v116(constB93) | v123(constB93)),
% 7.60/5.57 inference(unit_resolution,[status(thm)],[12450, 12392])).
% 7.60/5.57 tff(12452,plain,
% 7.60/5.57 ((~(v115(constB93) <=> (v116(constB93) | v123(constB93)))) | v115(constB93) | (~(v116(constB93) | v123(constB93)))),
% 7.60/5.57 inference(tautology,[status(thm)],[])).
% 7.60/5.57 tff(12453,plain,
% 7.60/5.57 (v115(constB93)),
% 7.60/5.57 inference(unit_resolution,[status(thm)],[12452, 12451, 12449])).
% 7.60/5.57 tff(12454,plain,
% 7.60/5.57 ((v115(constB93) | v124(constB93)) | (~v115(constB93))),
% 7.60/5.57 inference(tautology,[status(thm)],[])).
% 7.60/5.57 tff(12455,plain,
% 7.60/5.57 (v115(constB93) | v124(constB93)),
% 7.60/5.57 inference(unit_resolution,[status(thm)],[12454, 12453])).
% 7.60/5.57 tff(12456,plain,
% 7.60/5.57 ((~(v114(constB93) <=> (v115(constB93) | v124(constB93)))) | v114(constB93) | (~(v115(constB93) | v124(constB93)))),
% 7.60/5.57 inference(tautology,[status(thm)],[])).
% 7.60/5.57 tff(12457,plain,
% 7.60/5.57 (v114(constB93)),
% 7.60/5.57 inference(unit_resolution,[status(thm)],[12456, 12455, 12447])).
% 7.60/5.57 tff(12458,plain,
% 7.60/5.57 ((v114(constB93) | v125(constB93)) | (~v114(constB93))),
% 7.60/5.57 inference(tautology,[status(thm)],[])).
% 7.60/5.57 tff(12459,plain,
% 7.60/5.57 (v114(constB93) | v125(constB93)),
% 7.60/5.57 inference(unit_resolution,[status(thm)],[12458, 12457])).
% 7.60/5.57 tff(12460,plain,
% 7.60/5.57 ((~(v113(constB93) <=> (v114(constB93) | v125(constB93)))) | v113(constB93) | (~(v114(constB93) | v125(constB93)))),
% 7.60/5.57 inference(tautology,[status(thm)],[])).
% 7.60/5.57 tff(12461,plain,
% 7.60/5.57 (v113(constB93)),
% 7.60/5.57 inference(unit_resolution,[status(thm)],[12460, 12459, 12445])).
% 7.60/5.57 tff(12462,plain,
% 7.60/5.57 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB93)) <=> v111(constB93))),
% 7.60/5.57 inference(quant_inst,[status(thm)],[])).
% 7.60/5.57 tff(12463,plain,
% 7.60/5.57 ((~v126(constB93)) <=> v111(constB93)),
% 7.60/5.57 inference(unit_resolution,[status(thm)],[12462, 3396])).
% 7.60/5.57 tff(12464,plain,
% 7.60/5.57 ((~((~v126(constB93)) <=> v111(constB93))) | v126(constB93) | v111(constB93)),
% 7.60/5.57 inference(tautology,[status(thm)],[])).
% 7.60/5.57 tff(12465,plain,
% 7.60/5.57 ((~((~v126(constB93)) <=> v111(constB93))) | v126(constB93)),
% 7.60/5.57 inference(unit_resolution,[status(thm)],[12464, 11047])).
% 7.60/5.57 tff(12466,plain,
% 7.60/5.57 (v126(constB93)),
% 7.60/5.57 inference(unit_resolution,[status(thm)],[12465, 12463])).
% 7.60/5.57 tff(12467,plain,
% 7.60/5.57 ((~((~v113(constB93)) | (~v126(constB93)))) | (~v113(constB93)) | (~v126(constB93))),
% 7.60/5.57 inference(tautology,[status(thm)],[])).
% 7.60/5.57 tff(12468,plain,
% 7.60/5.57 ((~((~v113(constB93)) | (~v126(constB93)))) | (~v113(constB93))),
% 7.60/5.57 inference(unit_resolution,[status(thm)],[12467, 12466])).
% 7.60/5.57 tff(12469,plain,
% 7.60/5.57 (~((~v113(constB93)) | (~v126(constB93)))),
% 7.60/5.57 inference(unit_resolution,[status(thm)],[12468, 12461])).
% 7.60/5.57 tff(12470,plain,
% 7.60/5.57 ((~(v112(constB93) <=> (~((~v113(constB93)) | (~v126(constB93)))))) | v112(constB93) | ((~v113(constB93)) | (~v126(constB93)))),
% 7.60/5.57 inference(tautology,[status(thm)],[])).
% 7.60/5.57 tff(12471,plain,
% 7.60/5.57 (v112(constB93)),
% 7.60/5.57 inference(unit_resolution,[status(thm)],[12470, 12469, 12443])).
% 7.60/5.57 tff(12472,plain,
% 7.60/5.57 ((v111(constB93) | v112(constB93)) | (~v112(constB93))),
% 7.60/5.57 inference(tautology,[status(thm)],[])).
% 7.60/5.57 tff(12473,plain,
% 7.60/5.57 (v111(constB93) | v112(constB93)),
% 7.60/5.57 inference(unit_resolution,[status(thm)],[12472, 12471])).
% 7.60/5.57 tff(12474,plain,
% 7.60/5.57 ((~(v108(constB93) <=> (v111(constB93) | v112(constB93)))) | v108(constB93) | (~(v111(constB93) | v112(constB93)))),
% 7.60/5.57 inference(tautology,[status(thm)],[])).
% 7.60/5.57 tff(12475,plain,
% 7.60/5.57 (v108(constB93)),
% 7.60/5.57 inference(unit_resolution,[status(thm)],[12474, 12473, 12441])).
% 7.60/5.57 tff(12476,plain,
% 7.60/5.57 ((~(v110(constB94) <=> v108(constB93))) | v110(constB94) | (~v108(constB93))),
% 7.60/5.57 inference(tautology,[status(thm)],[])).
% 7.60/5.57 tff(12477,plain,
% 7.60/5.57 (v110(constB94)),
% 7.60/5.57 inference(unit_resolution,[status(thm)],[12476, 12475, 12439])).
% 7.60/5.57 tff(12478,plain,
% 7.60/5.57 ((~((~v101(constB94)) | (~v110(constB94)))) | (~v101(constB94)) | (~v110(constB94))),
% 7.60/5.57 inference(tautology,[status(thm)],[])).
% 7.60/5.57 tff(12479,plain,
% 7.60/5.57 (~((~v101(constB94)) | (~v110(constB94)))),
% 7.60/5.57 inference(unit_resolution,[status(thm)],[12478, 12477, 12435])).
% 7.60/5.57 tff(12480,plain,
% 7.60/5.57 ((~(v100(constB94) <=> (~((~v101(constB94)) | (~v110(constB94)))))) | v100(constB94) | ((~v101(constB94)) | (~v110(constB94)))),
% 7.60/5.57 inference(tautology,[status(thm)],[])).
% 7.60/5.57 tff(12481,plain,
% 7.60/5.57 (v100(constB94)),
% 7.60/5.57 inference(unit_resolution,[status(thm)],[12480, 12479, 12407])).
% 7.60/5.57 tff(12482,plain,
% 7.60/5.57 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB94)) | (~(((~v90(constB94, bitIndex0)) <=> v129(constB94, bitIndex0)) | ((~v90(constB94, bitIndex2)) <=> v129(constB94, bitIndex2)) | ((~v90(constB94, bitIndex1)) <=> v129(constB94, bitIndex1)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB94)) | (~(((~v90(constB94, bitIndex0)) <=> v129(constB94, bitIndex0)) | ((~v90(constB94, bitIndex2)) <=> v129(constB94, bitIndex2)) | ((~v90(constB94, bitIndex1)) <=> v129(constB94, bitIndex1)))))),
% 7.60/5.58 inference(rewrite,[status(thm)],[])).
% 7.60/5.58 tff(12483,plain,
% 7.60/5.58 (((~v100(constB94)) | (~(((~v90(constB94, bitIndex2)) <=> v129(constB94, bitIndex2)) | ((~v90(constB94, bitIndex1)) <=> v129(constB94, bitIndex1)) | ((~v90(constB94, bitIndex0)) <=> v129(constB94, bitIndex0))))) <=> ((~v100(constB94)) | (~(((~v90(constB94, bitIndex0)) <=> v129(constB94, bitIndex0)) | ((~v90(constB94, bitIndex2)) <=> v129(constB94, bitIndex2)) | ((~v90(constB94, bitIndex1)) <=> v129(constB94, bitIndex1)))))),
% 7.60/5.58 inference(rewrite,[status(thm)],[])).
% 7.60/5.58 tff(12484,plain,
% 7.60/5.58 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB94)) | (~(((~v90(constB94, bitIndex2)) <=> v129(constB94, bitIndex2)) | ((~v90(constB94, bitIndex1)) <=> v129(constB94, bitIndex1)) | ((~v90(constB94, bitIndex0)) <=> v129(constB94, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB94)) | (~(((~v90(constB94, bitIndex0)) <=> v129(constB94, bitIndex0)) | ((~v90(constB94, bitIndex2)) <=> v129(constB94, bitIndex2)) | ((~v90(constB94, bitIndex1)) <=> v129(constB94, bitIndex1))))))),
% 7.60/5.58 inference(monotonicity,[status(thm)],[12483])).
% 7.60/5.58 tff(12485,plain,
% 7.60/5.58 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB94)) | (~(((~v90(constB94, bitIndex2)) <=> v129(constB94, bitIndex2)) | ((~v90(constB94, bitIndex1)) <=> v129(constB94, bitIndex1)) | ((~v90(constB94, bitIndex0)) <=> v129(constB94, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB94)) | (~(((~v90(constB94, bitIndex0)) <=> v129(constB94, bitIndex0)) | ((~v90(constB94, bitIndex2)) <=> v129(constB94, bitIndex2)) | ((~v90(constB94, bitIndex1)) <=> v129(constB94, bitIndex1)))))),
% 7.60/5.58 inference(transitivity,[status(thm)],[12484, 12482])).
% 7.60/5.58 tff(12486,plain,
% 7.60/5.58 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB94)) | (~(((~v90(constB94, bitIndex2)) <=> v129(constB94, bitIndex2)) | ((~v90(constB94, bitIndex1)) <=> v129(constB94, bitIndex1)) | ((~v90(constB94, bitIndex0)) <=> v129(constB94, bitIndex0)))))),
% 7.60/5.58 inference(quant_inst,[status(thm)],[])).
% 7.60/5.58 tff(12487,plain,
% 7.60/5.58 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB94)) | (~(((~v90(constB94, bitIndex0)) <=> v129(constB94, bitIndex0)) | ((~v90(constB94, bitIndex2)) <=> v129(constB94, bitIndex2)) | ((~v90(constB94, bitIndex1)) <=> v129(constB94, bitIndex1))))),
% 7.60/5.58 inference(modus_ponens,[status(thm)],[12486, 12485])).
% 7.60/5.58 tff(12488,plain,
% 7.60/5.58 ((~v100(constB94)) | (~(((~v90(constB94, bitIndex0)) <=> v129(constB94, bitIndex0)) | ((~v90(constB94, bitIndex2)) <=> v129(constB94, bitIndex2)) | ((~v90(constB94, bitIndex1)) <=> v129(constB94, bitIndex1))))),
% 7.60/5.58 inference(unit_resolution,[status(thm)],[12487, 3429])).
% 7.60/5.58 tff(12489,plain,
% 7.60/5.58 (~(((~v90(constB94, bitIndex0)) <=> v129(constB94, bitIndex0)) | ((~v90(constB94, bitIndex2)) <=> v129(constB94, bitIndex2)) | ((~v90(constB94, bitIndex1)) <=> v129(constB94, bitIndex1)))),
% 7.60/5.58 inference(unit_resolution,[status(thm)],[12488, 12481])).
% 7.60/5.58 tff(12490,plain,
% 7.60/5.58 ((((~v90(constB94, bitIndex0)) <=> v129(constB94, bitIndex0)) | ((~v90(constB94, bitIndex2)) <=> v129(constB94, bitIndex2)) | ((~v90(constB94, bitIndex1)) <=> v129(constB94, bitIndex1))) | (~((~v90(constB94, bitIndex0)) <=> v129(constB94, bitIndex0)))),
% 7.60/5.58 inference(tautology,[status(thm)],[])).
% 7.60/5.58 tff(12491,plain,
% 7.60/5.58 (~((~v90(constB94, bitIndex0)) <=> v129(constB94, bitIndex0))),
% 7.60/5.58 inference(unit_resolution,[status(thm)],[12490, 12489])).
% 7.60/5.58 tff(12492,plain,
% 7.60/5.58 (((~v90(constB94, bitIndex0)) <=> v129(constB94, bitIndex0)) | (~v90(constB94, bitIndex0)) | v129(constB94, bitIndex0)),
% 7.60/5.58 inference(tautology,[status(thm)],[])).
% 7.60/5.58 tff(12493,plain,
% 7.60/5.58 (~v90(constB94, bitIndex0)),
% 7.60/5.58 inference(unit_resolution,[status(thm)],[12492, 12491, 12403])).
% 7.60/5.58 tff(12494,plain,
% 7.60/5.58 (((~v90(constB95, bitIndex0)) <=> v90(constB94, bitIndex0)) | (~v90(constB95, bitIndex0)) | v90(constB94, bitIndex0)),
% 7.60/5.58 inference(tautology,[status(thm)],[])).
% 7.60/5.58 tff(12495,plain,
% 7.60/5.58 (~v90(constB95, bitIndex0)),
% 7.60/5.58 inference(unit_resolution,[status(thm)],[12494, 12493, 11031])).
% 7.60/5.58 tff(12496,plain,
% 7.60/5.58 ((v90(constB95, bitIndex1) | v90(constB95, bitIndex2) | (~v90(constB95, bitIndex0))) | v90(constB95, bitIndex0)),
% 7.60/5.58 inference(tautology,[status(thm)],[])).
% 7.60/5.58 tff(12497,plain,
% 7.60/5.58 (v90(constB95, bitIndex1) | v90(constB95, bitIndex2) | (~v90(constB95, bitIndex0))),
% 7.60/5.58 inference(unit_resolution,[status(thm)],[12496, 12495])).
% 7.60/5.58 tff(12498,plain,
% 7.60/5.58 ((~(v120(constB95) <=> (~(v90(constB95, bitIndex1) | v90(constB95, bitIndex2) | (~v90(constB95, bitIndex0)))))) | (~v120(constB95)) | (~(v90(constB95, bitIndex1) | v90(constB95, bitIndex2) | (~v90(constB95, bitIndex0))))),
% 7.60/5.58 inference(tautology,[status(thm)],[])).
% 7.60/5.58 tff(12499,plain,
% 7.60/5.58 (~v120(constB95)),
% 7.60/5.58 inference(unit_resolution,[status(thm)],[12498, 12497, 10995])).
% 7.60/5.58 tff(12500,plain,
% 7.60/5.58 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB95) <=> (~(v90(constB95, bitIndex1) | (~v90(constB95, bitIndex2)) | (~v90(constB95, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB95) <=> (~(v90(constB95, bitIndex1) | (~v90(constB95, bitIndex2)) | (~v90(constB95, bitIndex0))))))),
% 7.60/5.58 inference(rewrite,[status(thm)],[])).
% 7.60/5.58 tff(12501,plain,
% 7.60/5.58 ((v124(constB95) <=> (~(v90(constB95, bitIndex1) | (~v90(constB95, bitIndex0)) | (~v90(constB95, bitIndex2))))) <=> (v124(constB95) <=> (~(v90(constB95, bitIndex1) | (~v90(constB95, bitIndex2)) | (~v90(constB95, bitIndex0)))))),
% 7.60/5.58 inference(rewrite,[status(thm)],[])).
% 7.60/5.58 tff(12502,plain,
% 7.60/5.58 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB95) <=> (~(v90(constB95, bitIndex1) | (~v90(constB95, bitIndex0)) | (~v90(constB95, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB95) <=> (~(v90(constB95, bitIndex1) | (~v90(constB95, bitIndex2)) | (~v90(constB95, bitIndex0))))))),
% 7.60/5.58 inference(monotonicity,[status(thm)],[12501])).
% 7.60/5.58 tff(12503,plain,
% 7.60/5.58 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB95) <=> (~(v90(constB95, bitIndex1) | (~v90(constB95, bitIndex0)) | (~v90(constB95, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB95) <=> (~(v90(constB95, bitIndex1) | (~v90(constB95, bitIndex2)) | (~v90(constB95, bitIndex0))))))),
% 7.60/5.58 inference(transitivity,[status(thm)],[12502, 12500])).
% 7.60/5.58 tff(12504,plain,
% 7.60/5.58 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB95) <=> (~(v90(constB95, bitIndex1) | (~v90(constB95, bitIndex0)) | (~v90(constB95, bitIndex2)))))),
% 7.60/5.58 inference(quant_inst,[status(thm)],[])).
% 7.60/5.58 tff(12505,plain,
% 7.60/5.58 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB95) <=> (~(v90(constB95, bitIndex1) | (~v90(constB95, bitIndex2)) | (~v90(constB95, bitIndex0)))))),
% 7.60/5.58 inference(modus_ponens,[status(thm)],[12504, 12503])).
% 7.60/5.58 tff(12506,plain,
% 7.60/5.58 (v124(constB95) <=> (~(v90(constB95, bitIndex1) | (~v90(constB95, bitIndex2)) | (~v90(constB95, bitIndex0))))),
% 7.60/5.58 inference(unit_resolution,[status(thm)],[12505, 3613])).
% 7.60/5.58 tff(12507,plain,
% 7.60/5.58 ((v90(constB95, bitIndex1) | (~v90(constB95, bitIndex2)) | (~v90(constB95, bitIndex0))) | v90(constB95, bitIndex0)),
% 7.60/5.58 inference(tautology,[status(thm)],[])).
% 7.60/5.58 tff(12508,plain,
% 7.60/5.58 (v90(constB95, bitIndex1) | (~v90(constB95, bitIndex2)) | (~v90(constB95, bitIndex0))),
% 7.60/5.58 inference(unit_resolution,[status(thm)],[12507, 12495])).
% 7.60/5.58 tff(12509,plain,
% 7.60/5.58 ((~(v124(constB95) <=> (~(v90(constB95, bitIndex1) | (~v90(constB95, bitIndex2)) | (~v90(constB95, bitIndex0)))))) | (~v124(constB95)) | (~(v90(constB95, bitIndex1) | (~v90(constB95, bitIndex2)) | (~v90(constB95, bitIndex0))))),
% 7.60/5.58 inference(tautology,[status(thm)],[])).
% 7.60/5.58 tff(12510,plain,
% 7.60/5.58 (~v124(constB95)),
% 7.60/5.58 inference(unit_resolution,[status(thm)],[12509, 12508, 12506])).
% 7.60/5.58 tff(12511,plain,
% 7.60/5.58 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB95) <=> (~(v90(constB95, bitIndex1) | v90(constB95, bitIndex0) | (~v90(constB95, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB95) <=> (~(v90(constB95, bitIndex1) | v90(constB95, bitIndex0) | (~v90(constB95, bitIndex2))))))),
% 7.60/5.58 inference(rewrite,[status(thm)],[])).
% 7.60/5.58 tff(12512,plain,
% 7.60/5.58 ((v123(constB95) <=> (~(v90(constB95, bitIndex0) | v90(constB95, bitIndex1) | (~v90(constB95, bitIndex2))))) <=> (v123(constB95) <=> (~(v90(constB95, bitIndex1) | v90(constB95, bitIndex0) | (~v90(constB95, bitIndex2)))))),
% 7.60/5.58 inference(rewrite,[status(thm)],[])).
% 7.60/5.58 tff(12513,plain,
% 7.60/5.58 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB95) <=> (~(v90(constB95, bitIndex0) | v90(constB95, bitIndex1) | (~v90(constB95, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB95) <=> (~(v90(constB95, bitIndex1) | v90(constB95, bitIndex0) | (~v90(constB95, bitIndex2))))))),
% 7.60/5.58 inference(monotonicity,[status(thm)],[12512])).
% 7.60/5.58 tff(12514,plain,
% 7.60/5.58 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB95) <=> (~(v90(constB95, bitIndex0) | v90(constB95, bitIndex1) | (~v90(constB95, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB95) <=> (~(v90(constB95, bitIndex1) | v90(constB95, bitIndex0) | (~v90(constB95, bitIndex2))))))),
% 7.60/5.58 inference(transitivity,[status(thm)],[12513, 12511])).
% 7.60/5.58 tff(12515,plain,
% 7.60/5.58 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB95) <=> (~(v90(constB95, bitIndex0) | v90(constB95, bitIndex1) | (~v90(constB95, bitIndex2)))))),
% 7.60/5.58 inference(quant_inst,[status(thm)],[])).
% 7.60/5.58 tff(12516,plain,
% 7.60/5.58 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB95) <=> (~(v90(constB95, bitIndex1) | v90(constB95, bitIndex0) | (~v90(constB95, bitIndex2)))))),
% 7.60/5.58 inference(modus_ponens,[status(thm)],[12515, 12514])).
% 7.60/5.58 tff(12517,plain,
% 7.60/5.58 (v123(constB95) <=> (~(v90(constB95, bitIndex1) | v90(constB95, bitIndex0) | (~v90(constB95, bitIndex2))))),
% 7.60/5.58 inference(unit_resolution,[status(thm)],[12516, 800])).
% 7.60/5.58 tff(12518,plain,
% 7.60/5.58 ((((~v90(constB95, bitIndex1)) <=> v90(constB94, bitIndex1)) | ((~v90(constB95, bitIndex2)) <=> v90(constB94, bitIndex2)) | ((~v90(constB95, bitIndex0)) <=> v90(constB94, bitIndex0))) | (~((~v90(constB95, bitIndex1)) <=> v90(constB94, bitIndex1)))),
% 7.60/5.58 inference(tautology,[status(thm)],[])).
% 7.60/5.58 tff(12519,plain,
% 7.60/5.58 (~((~v90(constB95, bitIndex1)) <=> v90(constB94, bitIndex1))),
% 7.60/5.58 inference(unit_resolution,[status(thm)],[12518, 11029])).
% 7.60/5.58 tff(12520,plain,
% 7.60/5.58 ((((~v129(constB94, bitIndex2)) <=> v127(constB93, bitIndex2)) | ((~v129(constB94, bitIndex1)) <=> v127(constB93, bitIndex1)) | ((~v129(constB94, bitIndex0)) <=> v127(constB93, bitIndex0))) | (~((~v129(constB94, bitIndex1)) <=> v127(constB93, bitIndex1)))),
% 7.60/5.58 inference(tautology,[status(thm)],[])).
% 7.60/5.58 tff(12521,plain,
% 7.60/5.58 (~((~v129(constB94, bitIndex1)) <=> v127(constB93, bitIndex1))),
% 7.60/5.58 inference(unit_resolution,[status(thm)],[12520, 11038])).
% 7.60/5.58 tff(12522,plain,
% 7.60/5.58 ((((~v127(constB93, bitIndex2)) <=> v130(constB93, bitIndex2)) | ((~v127(constB93, bitIndex1)) <=> v130(constB93, bitIndex1)) | ((~v127(constB93, bitIndex0)) <=> v130(constB93, bitIndex0))) | (~((~v127(constB93, bitIndex1)) <=> v130(constB93, bitIndex1)))),
% 7.60/5.58 inference(tautology,[status(thm)],[])).
% 7.60/5.58 tff(12523,plain,
% 7.60/5.58 (~((~v127(constB93, bitIndex1)) <=> v130(constB93, bitIndex1))),
% 7.60/5.58 inference(unit_resolution,[status(thm)],[12522, 11052])).
% 7.60/5.58 tff(12524,plain,
% 7.60/5.58 ((v130(constB93, bitIndex0) | (~v130(constB93, bitIndex2)) | (~v130(constB93, bitIndex1))) | v130(constB93, bitIndex1)),
% 7.60/5.58 inference(tautology,[status(thm)],[])).
% 7.60/5.58 tff(12525,plain,
% 7.60/5.58 (v130(constB93, bitIndex1)),
% 7.60/5.58 inference(unit_resolution,[status(thm)],[12524, 12397])).
% 7.60/5.58 tff(12526,plain,
% 7.60/5.58 (((~v127(constB93, bitIndex1)) <=> v130(constB93, bitIndex1)) | v127(constB93, bitIndex1) | (~v130(constB93, bitIndex1))),
% 7.60/5.58 inference(tautology,[status(thm)],[])).
% 7.60/5.58 tff(12527,plain,
% 7.60/5.58 (v127(constB93, bitIndex1)),
% 7.60/5.58 inference(unit_resolution,[status(thm)],[12526, 12525, 12523])).
% 7.60/5.58 tff(12528,plain,
% 7.60/5.58 (((~v129(constB94, bitIndex1)) <=> v127(constB93, bitIndex1)) | v129(constB94, bitIndex1) | (~v127(constB93, bitIndex1))),
% 7.60/5.58 inference(tautology,[status(thm)],[])).
% 7.60/5.58 tff(12529,plain,
% 7.60/5.58 (v129(constB94, bitIndex1)),
% 7.60/5.58 inference(unit_resolution,[status(thm)],[12528, 12527, 12521])).
% 7.60/5.58 tff(12530,plain,
% 7.60/5.58 ((((~v90(constB94, bitIndex0)) <=> v129(constB94, bitIndex0)) | ((~v90(constB94, bitIndex2)) <=> v129(constB94, bitIndex2)) | ((~v90(constB94, bitIndex1)) <=> v129(constB94, bitIndex1))) | (~((~v90(constB94, bitIndex1)) <=> v129(constB94, bitIndex1)))),
% 7.60/5.58 inference(tautology,[status(thm)],[])).
% 7.60/5.58 tff(12531,plain,
% 7.60/5.58 (~((~v90(constB94, bitIndex1)) <=> v129(constB94, bitIndex1))),
% 7.60/5.58 inference(unit_resolution,[status(thm)],[12530, 12489])).
% 7.60/5.58 tff(12532,plain,
% 7.60/5.58 (((~v90(constB94, bitIndex1)) <=> v129(constB94, bitIndex1)) | v90(constB94, bitIndex1) | (~v129(constB94, bitIndex1))),
% 7.60/5.58 inference(tautology,[status(thm)],[])).
% 7.60/5.58 tff(12533,plain,
% 7.60/5.58 (v90(constB94, bitIndex1)),
% 7.60/5.58 inference(unit_resolution,[status(thm)],[12532, 12531, 12529])).
% 7.60/5.58 tff(12534,plain,
% 7.60/5.58 (((~v90(constB95, bitIndex1)) <=> v90(constB94, bitIndex1)) | v90(constB95, bitIndex1) | (~v90(constB94, bitIndex1))),
% 7.60/5.58 inference(tautology,[status(thm)],[])).
% 7.60/5.58 tff(12535,plain,
% 7.60/5.58 (v90(constB95, bitIndex1)),
% 7.60/5.58 inference(unit_resolution,[status(thm)],[12534, 12533, 12519])).
% 7.60/5.58 tff(12536,plain,
% 7.60/5.58 ((v90(constB95, bitIndex1) | v90(constB95, bitIndex0) | (~v90(constB95, bitIndex2))) | (~v90(constB95, bitIndex1))),
% 7.60/5.58 inference(tautology,[status(thm)],[])).
% 7.60/5.58 tff(12537,plain,
% 7.60/5.58 (v90(constB95, bitIndex1) | v90(constB95, bitIndex0) | (~v90(constB95, bitIndex2))),
% 7.60/5.58 inference(unit_resolution,[status(thm)],[12536, 12535])).
% 7.60/5.58 tff(12538,plain,
% 7.60/5.58 ((~(v123(constB95) <=> (~(v90(constB95, bitIndex1) | v90(constB95, bitIndex0) | (~v90(constB95, bitIndex2)))))) | (~v123(constB95)) | (~(v90(constB95, bitIndex1) | v90(constB95, bitIndex0) | (~v90(constB95, bitIndex2))))),
% 7.60/5.58 inference(tautology,[status(thm)],[])).
% 7.60/5.58 tff(12539,plain,
% 7.60/5.58 (~v123(constB95)),
% 7.60/5.58 inference(unit_resolution,[status(thm)],[12538, 12537, 12517])).
% 7.60/5.58 tff(12540,plain,
% 7.60/5.58 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB95) <=> (~(v90(constB95, bitIndex2) | (~v90(constB95, bitIndex1)) | (~v90(constB95, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB95) <=> (~(v90(constB95, bitIndex2) | (~v90(constB95, bitIndex1)) | (~v90(constB95, bitIndex0))))))),
% 7.60/5.58 inference(rewrite,[status(thm)],[])).
% 7.60/5.58 tff(12541,plain,
% 7.60/5.58 ((v122(constB95) <=> (~(v90(constB95, bitIndex2) | (~v90(constB95, bitIndex0)) | (~v90(constB95, bitIndex1))))) <=> (v122(constB95) <=> (~(v90(constB95, bitIndex2) | (~v90(constB95, bitIndex1)) | (~v90(constB95, bitIndex0)))))),
% 7.60/5.58 inference(rewrite,[status(thm)],[])).
% 7.60/5.58 tff(12542,plain,
% 7.60/5.58 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB95) <=> (~(v90(constB95, bitIndex2) | (~v90(constB95, bitIndex0)) | (~v90(constB95, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB95) <=> (~(v90(constB95, bitIndex2) | (~v90(constB95, bitIndex1)) | (~v90(constB95, bitIndex0))))))),
% 7.60/5.58 inference(monotonicity,[status(thm)],[12541])).
% 7.60/5.58 tff(12543,plain,
% 7.60/5.58 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB95) <=> (~(v90(constB95, bitIndex2) | (~v90(constB95, bitIndex0)) | (~v90(constB95, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB95) <=> (~(v90(constB95, bitIndex2) | (~v90(constB95, bitIndex1)) | (~v90(constB95, bitIndex0))))))),
% 7.60/5.58 inference(transitivity,[status(thm)],[12542, 12540])).
% 7.60/5.58 tff(12544,plain,
% 7.60/5.58 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB95) <=> (~(v90(constB95, bitIndex2) | (~v90(constB95, bitIndex0)) | (~v90(constB95, bitIndex1)))))),
% 7.60/5.58 inference(quant_inst,[status(thm)],[])).
% 7.60/5.58 tff(12545,plain,
% 7.60/5.58 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB95) <=> (~(v90(constB95, bitIndex2) | (~v90(constB95, bitIndex1)) | (~v90(constB95, bitIndex0)))))),
% 7.60/5.58 inference(modus_ponens,[status(thm)],[12544, 12543])).
% 7.60/5.58 tff(12546,plain,
% 7.60/5.58 (v122(constB95) <=> (~(v90(constB95, bitIndex2) | (~v90(constB95, bitIndex1)) | (~v90(constB95, bitIndex0))))),
% 7.60/5.58 inference(unit_resolution,[status(thm)],[12545, 879])).
% 7.60/5.58 tff(12547,plain,
% 7.60/5.58 ((v90(constB95, bitIndex2) | (~v90(constB95, bitIndex1)) | (~v90(constB95, bitIndex0))) | v90(constB95, bitIndex0)),
% 7.60/5.58 inference(tautology,[status(thm)],[])).
% 7.60/5.58 tff(12548,plain,
% 7.60/5.58 (v90(constB95, bitIndex2) | (~v90(constB95, bitIndex1)) | (~v90(constB95, bitIndex0))),
% 7.60/5.58 inference(unit_resolution,[status(thm)],[12547, 12495])).
% 7.60/5.58 tff(12549,plain,
% 7.60/5.58 ((~(v122(constB95) <=> (~(v90(constB95, bitIndex2) | (~v90(constB95, bitIndex1)) | (~v90(constB95, bitIndex0)))))) | (~v122(constB95)) | (~(v90(constB95, bitIndex2) | (~v90(constB95, bitIndex1)) | (~v90(constB95, bitIndex0))))),
% 7.60/5.58 inference(tautology,[status(thm)],[])).
% 7.60/5.58 tff(12550,plain,
% 7.60/5.58 (~v122(constB95)),
% 7.60/5.58 inference(unit_resolution,[status(thm)],[12549, 12548, 12546])).
% 7.60/5.58 tff(12551,plain,
% 7.60/5.58 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB95) <=> (~(v90(constB95, bitIndex2) | v90(constB95, bitIndex0) | (~v90(constB95, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB95) <=> (~(v90(constB95, bitIndex2) | v90(constB95, bitIndex0) | (~v90(constB95, bitIndex1))))))),
% 7.60/5.58 inference(rewrite,[status(thm)],[])).
% 7.60/5.58 tff(12552,plain,
% 7.60/5.58 ((v121(constB95) <=> (~(v90(constB95, bitIndex0) | v90(constB95, bitIndex2) | (~v90(constB95, bitIndex1))))) <=> (v121(constB95) <=> (~(v90(constB95, bitIndex2) | v90(constB95, bitIndex0) | (~v90(constB95, bitIndex1)))))),
% 7.60/5.58 inference(rewrite,[status(thm)],[])).
% 7.60/5.58 tff(12553,plain,
% 7.60/5.58 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB95) <=> (~(v90(constB95, bitIndex0) | v90(constB95, bitIndex2) | (~v90(constB95, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB95) <=> (~(v90(constB95, bitIndex2) | v90(constB95, bitIndex0) | (~v90(constB95, bitIndex1))))))),
% 7.60/5.58 inference(monotonicity,[status(thm)],[12552])).
% 7.60/5.58 tff(12554,plain,
% 7.60/5.58 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB95) <=> (~(v90(constB95, bitIndex0) | v90(constB95, bitIndex2) | (~v90(constB95, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB95) <=> (~(v90(constB95, bitIndex2) | v90(constB95, bitIndex0) | (~v90(constB95, bitIndex1))))))),
% 7.60/5.58 inference(transitivity,[status(thm)],[12553, 12551])).
% 7.60/5.58 tff(12555,plain,
% 7.60/5.58 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB95) <=> (~(v90(constB95, bitIndex0) | v90(constB95, bitIndex2) | (~v90(constB95, bitIndex1)))))),
% 7.60/5.58 inference(quant_inst,[status(thm)],[])).
% 7.60/5.58 tff(12556,plain,
% 7.60/5.58 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB95) <=> (~(v90(constB95, bitIndex2) | v90(constB95, bitIndex0) | (~v90(constB95, bitIndex1)))))),
% 7.60/5.58 inference(modus_ponens,[status(thm)],[12555, 12554])).
% 7.60/5.58 tff(12557,plain,
% 7.60/5.58 (v121(constB95) <=> (~(v90(constB95, bitIndex2) | v90(constB95, bitIndex0) | (~v90(constB95, bitIndex1))))),
% 7.60/5.58 inference(unit_resolution,[status(thm)],[12556, 586])).
% 7.60/5.58 tff(12558,plain,
% 7.60/5.58 ((((~v90(constB95, bitIndex1)) <=> v90(constB94, bitIndex1)) | ((~v90(constB95, bitIndex2)) <=> v90(constB94, bitIndex2)) | ((~v90(constB95, bitIndex0)) <=> v90(constB94, bitIndex0))) | (~((~v90(constB95, bitIndex2)) <=> v90(constB94, bitIndex2)))),
% 7.60/5.58 inference(tautology,[status(thm)],[])).
% 7.60/5.58 tff(12559,plain,
% 7.60/5.58 (~((~v90(constB95, bitIndex2)) <=> v90(constB94, bitIndex2))),
% 7.60/5.58 inference(unit_resolution,[status(thm)],[12558, 11029])).
% 7.60/5.58 tff(12560,plain,
% 7.60/5.58 ((((~v129(constB94, bitIndex2)) <=> v127(constB93, bitIndex2)) | ((~v129(constB94, bitIndex1)) <=> v127(constB93, bitIndex1)) | ((~v129(constB94, bitIndex0)) <=> v127(constB93, bitIndex0))) | (~((~v129(constB94, bitIndex2)) <=> v127(constB93, bitIndex2)))),
% 7.60/5.58 inference(tautology,[status(thm)],[])).
% 7.60/5.58 tff(12561,plain,
% 7.60/5.58 (~((~v129(constB94, bitIndex2)) <=> v127(constB93, bitIndex2))),
% 7.60/5.58 inference(unit_resolution,[status(thm)],[12560, 11038])).
% 7.60/5.58 tff(12562,plain,
% 7.60/5.58 ((((~v127(constB93, bitIndex2)) <=> v130(constB93, bitIndex2)) | ((~v127(constB93, bitIndex1)) <=> v130(constB93, bitIndex1)) | ((~v127(constB93, bitIndex0)) <=> v130(constB93, bitIndex0))) | (~((~v127(constB93, bitIndex2)) <=> v130(constB93, bitIndex2)))),
% 7.60/5.58 inference(tautology,[status(thm)],[])).
% 7.60/5.58 tff(12563,plain,
% 7.60/5.58 (~((~v127(constB93, bitIndex2)) <=> v130(constB93, bitIndex2))),
% 7.60/5.58 inference(unit_resolution,[status(thm)],[12562, 11052])).
% 7.60/5.58 tff(12564,plain,
% 7.60/5.58 ((v130(constB93, bitIndex0) | (~v130(constB93, bitIndex2)) | (~v130(constB93, bitIndex1))) | v130(constB93, bitIndex2)),
% 7.60/5.58 inference(tautology,[status(thm)],[])).
% 7.60/5.58 tff(12565,plain,
% 7.60/5.58 (v130(constB93, bitIndex2)),
% 7.60/5.58 inference(unit_resolution,[status(thm)],[12564, 12397])).
% 7.60/5.58 tff(12566,plain,
% 7.60/5.58 (((~v127(constB93, bitIndex2)) <=> v130(constB93, bitIndex2)) | v127(constB93, bitIndex2) | (~v130(constB93, bitIndex2))),
% 7.60/5.58 inference(tautology,[status(thm)],[])).
% 7.60/5.58 tff(12567,plain,
% 7.60/5.58 (v127(constB93, bitIndex2)),
% 7.60/5.58 inference(unit_resolution,[status(thm)],[12566, 12565, 12563])).
% 7.60/5.58 tff(12568,plain,
% 7.60/5.58 (((~v129(constB94, bitIndex2)) <=> v127(constB93, bitIndex2)) | v129(constB94, bitIndex2) | (~v127(constB93, bitIndex2))),
% 7.60/5.58 inference(tautology,[status(thm)],[])).
% 7.60/5.58 tff(12569,plain,
% 7.60/5.58 (v129(constB94, bitIndex2)),
% 7.60/5.58 inference(unit_resolution,[status(thm)],[12568, 12567, 12561])).
% 7.60/5.58 tff(12570,plain,
% 7.60/5.58 ((((~v90(constB94, bitIndex0)) <=> v129(constB94, bitIndex0)) | ((~v90(constB94, bitIndex2)) <=> v129(constB94, bitIndex2)) | ((~v90(constB94, bitIndex1)) <=> v129(constB94, bitIndex1))) | (~((~v90(constB94, bitIndex2)) <=> v129(constB94, bitIndex2)))),
% 7.60/5.58 inference(tautology,[status(thm)],[])).
% 7.60/5.58 tff(12571,plain,
% 7.60/5.58 (~((~v90(constB94, bitIndex2)) <=> v129(constB94, bitIndex2))),
% 7.60/5.58 inference(unit_resolution,[status(thm)],[12570, 12489])).
% 7.60/5.58 tff(12572,plain,
% 7.60/5.58 (((~v90(constB94, bitIndex2)) <=> v129(constB94, bitIndex2)) | v90(constB94, bitIndex2) | (~v129(constB94, bitIndex2))),
% 7.60/5.58 inference(tautology,[status(thm)],[])).
% 7.60/5.58 tff(12573,plain,
% 7.60/5.58 (v90(constB94, bitIndex2)),
% 7.60/5.58 inference(unit_resolution,[status(thm)],[12572, 12571, 12569])).
% 7.60/5.58 tff(12574,plain,
% 7.60/5.58 (((~v90(constB95, bitIndex2)) <=> v90(constB94, bitIndex2)) | v90(constB95, bitIndex2) | (~v90(constB94, bitIndex2))),
% 7.60/5.58 inference(tautology,[status(thm)],[])).
% 7.60/5.58 tff(12575,plain,
% 7.60/5.58 (v90(constB95, bitIndex2)),
% 7.60/5.58 inference(unit_resolution,[status(thm)],[12574, 12573, 12559])).
% 7.60/5.58 tff(12576,plain,
% 7.60/5.58 ((v90(constB95, bitIndex2) | v90(constB95, bitIndex0) | (~v90(constB95, bitIndex1))) | (~v90(constB95, bitIndex2))),
% 7.60/5.58 inference(tautology,[status(thm)],[])).
% 7.60/5.58 tff(12577,plain,
% 7.60/5.58 (v90(constB95, bitIndex2) | v90(constB95, bitIndex0) | (~v90(constB95, bitIndex1))),
% 7.60/5.58 inference(unit_resolution,[status(thm)],[12576, 12575])).
% 7.60/5.58 tff(12578,plain,
% 7.60/5.58 ((~(v121(constB95) <=> (~(v90(constB95, bitIndex2) | v90(constB95, bitIndex0) | (~v90(constB95, bitIndex1)))))) | (~v121(constB95)) | (~(v90(constB95, bitIndex2) | v90(constB95, bitIndex0) | (~v90(constB95, bitIndex1))))),
% 7.60/5.58 inference(tautology,[status(thm)],[])).
% 7.60/5.58 tff(12579,plain,
% 7.60/5.58 (~v121(constB95)),
% 7.60/5.58 inference(unit_resolution,[status(thm)],[12578, 12577, 12557])).
% 7.60/5.58 tff(12580,plain,
% 7.60/5.58 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB95) <=> (~(v90(constB95, bitIndex0) | v90(constB95, bitIndex1) | v90(constB95, bitIndex2))))),
% 7.60/5.58 inference(quant_inst,[status(thm)],[])).
% 7.60/5.58 tff(12581,plain,
% 7.60/5.58 (v119(constB95) <=> (~(v90(constB95, bitIndex0) | v90(constB95, bitIndex1) | v90(constB95, bitIndex2)))),
% 7.60/5.58 inference(unit_resolution,[status(thm)],[12580, 1085])).
% 7.60/5.58 tff(12582,plain,
% 7.60/5.58 ((v90(constB95, bitIndex0) | v90(constB95, bitIndex1) | v90(constB95, bitIndex2)) | (~v90(constB95, bitIndex2))),
% 7.60/5.58 inference(tautology,[status(thm)],[])).
% 7.60/5.58 tff(12583,plain,
% 7.60/5.58 (v90(constB95, bitIndex0) | v90(constB95, bitIndex1) | v90(constB95, bitIndex2)),
% 7.60/5.58 inference(unit_resolution,[status(thm)],[12582, 12575])).
% 7.60/5.58 tff(12584,plain,
% 7.60/5.58 ((~(v119(constB95) <=> (~(v90(constB95, bitIndex0) | v90(constB95, bitIndex1) | v90(constB95, bitIndex2))))) | (~v119(constB95)) | (~(v90(constB95, bitIndex0) | v90(constB95, bitIndex1) | v90(constB95, bitIndex2)))),
% 7.60/5.58 inference(tautology,[status(thm)],[])).
% 7.60/5.58 tff(12585,plain,
% 7.60/5.58 (~v119(constB95)),
% 7.60/5.59 inference(unit_resolution,[status(thm)],[12584, 12583, 12581])).
% 7.60/5.59 tff(12586,plain,
% 7.60/5.59 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v119(constB95) | v120(constB95) | v121(constB95) | v122(constB95) | v123(constB95) | v124(constB95) | (~(v130(constB95, bitIndex2) | v130(constB95, bitIndex1) | (~v130(constB95, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | v119(constB95) | v120(constB95) | v121(constB95) | v122(constB95) | v123(constB95) | v124(constB95) | (~(v130(constB95, bitIndex2) | v130(constB95, bitIndex1) | (~v130(constB95, bitIndex0)))))),
% 7.60/5.59 inference(rewrite,[status(thm)],[])).
% 7.60/5.59 tff(12587,plain,
% 7.60/5.59 ((v124(constB95) | v123(constB95) | v122(constB95) | v121(constB95) | v120(constB95) | v119(constB95) | (~(v130(constB95, bitIndex2) | v130(constB95, bitIndex1) | (~v130(constB95, bitIndex0))))) <=> (v119(constB95) | v120(constB95) | v121(constB95) | v122(constB95) | v123(constB95) | v124(constB95) | (~(v130(constB95, bitIndex2) | v130(constB95, bitIndex1) | (~v130(constB95, bitIndex0)))))),
% 7.60/5.59 inference(rewrite,[status(thm)],[])).
% 7.60/5.59 tff(12588,plain,
% 7.60/5.59 ((~(v130(constB95, bitIndex1) | v130(constB95, bitIndex2) | (~v130(constB95, bitIndex0)))) <=> (~(v130(constB95, bitIndex2) | v130(constB95, bitIndex1) | (~v130(constB95, bitIndex0))))),
% 7.60/5.59 inference(rewrite,[status(thm)],[])).
% 7.60/5.59 tff(12589,plain,
% 7.60/5.59 ((v124(constB95) | v123(constB95) | v122(constB95) | v121(constB95) | v120(constB95) | v119(constB95) | (~(v130(constB95, bitIndex1) | v130(constB95, bitIndex2) | (~v130(constB95, bitIndex0))))) <=> (v124(constB95) | v123(constB95) | v122(constB95) | v121(constB95) | v120(constB95) | v119(constB95) | (~(v130(constB95, bitIndex2) | v130(constB95, bitIndex1) | (~v130(constB95, bitIndex0)))))),
% 7.60/5.59 inference(monotonicity,[status(thm)],[12588])).
% 7.60/5.59 tff(12590,plain,
% 7.60/5.59 ((v124(constB95) | v123(constB95) | v122(constB95) | v121(constB95) | v120(constB95) | v119(constB95) | (~(v130(constB95, bitIndex1) | v130(constB95, bitIndex2) | (~v130(constB95, bitIndex0))))) <=> (v119(constB95) | v120(constB95) | v121(constB95) | v122(constB95) | v123(constB95) | v124(constB95) | (~(v130(constB95, bitIndex2) | v130(constB95, bitIndex1) | (~v130(constB95, bitIndex0)))))),
% 7.60/5.59 inference(transitivity,[status(thm)],[12589, 12587])).
% 7.60/5.59 tff(12591,plain,
% 7.60/5.59 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB95) | v123(constB95) | v122(constB95) | v121(constB95) | v120(constB95) | v119(constB95) | (~(v130(constB95, bitIndex1) | v130(constB95, bitIndex2) | (~v130(constB95, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v119(constB95) | v120(constB95) | v121(constB95) | v122(constB95) | v123(constB95) | v124(constB95) | (~(v130(constB95, bitIndex2) | v130(constB95, bitIndex1) | (~v130(constB95, bitIndex0))))))),
% 7.60/5.59 inference(monotonicity,[status(thm)],[12590])).
% 7.60/5.59 tff(12592,plain,
% 7.60/5.59 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB95) | v123(constB95) | v122(constB95) | v121(constB95) | v120(constB95) | v119(constB95) | (~(v130(constB95, bitIndex1) | v130(constB95, bitIndex2) | (~v130(constB95, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | v119(constB95) | v120(constB95) | v121(constB95) | v122(constB95) | v123(constB95) | v124(constB95) | (~(v130(constB95, bitIndex2) | v130(constB95, bitIndex1) | (~v130(constB95, bitIndex0)))))),
% 7.60/5.59 inference(transitivity,[status(thm)],[12591, 12586])).
% 7.60/5.59 tff(12593,plain,
% 7.60/5.59 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB95) | v123(constB95) | v122(constB95) | v121(constB95) | v120(constB95) | v119(constB95) | (~(v130(constB95, bitIndex1) | v130(constB95, bitIndex2) | (~v130(constB95, bitIndex0)))))),
% 7.60/5.59 inference(quant_inst,[status(thm)],[])).
% 7.60/5.59 tff(12594,plain,
% 7.60/5.59 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | v119(constB95) | v120(constB95) | v121(constB95) | v122(constB95) | v123(constB95) | v124(constB95) | (~(v130(constB95, bitIndex2) | v130(constB95, bitIndex1) | (~v130(constB95, bitIndex0))))),
% 7.60/5.59 inference(modus_ponens,[status(thm)],[12593, 12592])).
% 7.60/5.59 tff(12595,plain,
% 7.60/5.59 (v119(constB95) | v120(constB95) | v121(constB95) | v122(constB95) | v123(constB95) | v124(constB95) | (~(v130(constB95, bitIndex2) | v130(constB95, bitIndex1) | (~v130(constB95, bitIndex0))))),
% 7.60/5.59 inference(unit_resolution,[status(thm)],[12594, 3694])).
% 7.60/5.59 tff(12596,plain,
% 7.60/5.59 (~(v130(constB95, bitIndex2) | v130(constB95, bitIndex1) | (~v130(constB95, bitIndex0)))),
% 7.60/5.59 inference(unit_resolution,[status(thm)],[12595, 12585, 12579, 12550, 12539, 12510, 12499])).
% 7.60/5.59 tff(12597,plain,
% 7.60/5.59 ((v130(constB95, bitIndex2) | v130(constB95, bitIndex1) | (~v130(constB95, bitIndex0))) | (~v130(constB95, bitIndex2))),
% 7.60/5.59 inference(tautology,[status(thm)],[])).
% 7.60/5.59 tff(12598,plain,
% 7.60/5.59 (~v130(constB95, bitIndex2)),
% 7.60/5.59 inference(unit_resolution,[status(thm)],[12597, 12596])).
% 7.60/5.59 tff(12599,plain,
% 7.60/5.59 (((~v127(constB95, bitIndex2)) <=> v130(constB95, bitIndex2)) | (~v127(constB95, bitIndex2)) | v130(constB95, bitIndex2)),
% 7.60/5.59 inference(tautology,[status(thm)],[])).
% 7.60/5.59 tff(12600,plain,
% 7.60/5.59 (~v127(constB95, bitIndex2)),
% 7.60/5.59 inference(unit_resolution,[status(thm)],[12599, 12598, 10993])).
% 7.60/5.59 tff(12601,plain,
% 7.60/5.59 (((~v129(constB96, bitIndex2)) <=> v127(constB95, bitIndex2)) | (~v129(constB96, bitIndex2)) | v127(constB95, bitIndex2)),
% 7.60/5.59 inference(tautology,[status(thm)],[])).
% 7.60/5.59 tff(12602,plain,
% 7.60/5.59 (~v129(constB96, bitIndex2)),
% 7.60/5.59 inference(unit_resolution,[status(thm)],[12601, 12600, 10979])).
% 7.60/5.59 tff(12603,plain,
% 7.60/5.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB95, constB96)) | (v100(constB96) <=> (~((~v101(constB96)) | (~v110(constB96))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB95, constB96)) | (v100(constB96) <=> (~((~v101(constB96)) | (~v110(constB96))))))),
% 7.60/5.59 inference(rewrite,[status(thm)],[])).
% 7.60/5.59 tff(12604,plain,
% 7.60/5.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB95, constB96)) | (v100(constB96) <=> (~((~v101(constB96)) | (~v110(constB96))))))),
% 7.60/5.59 inference(quant_inst,[status(thm)],[])).
% 7.60/5.59 tff(12605,plain,
% 7.60/5.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB95, constB96)) | (v100(constB96) <=> (~((~v101(constB96)) | (~v110(constB96)))))),
% 7.60/5.59 inference(modus_ponens,[status(thm)],[12604, 12603])).
% 7.60/5.59 tff(12606,plain,
% 7.60/5.59 (v100(constB96) <=> (~((~v101(constB96)) | (~v110(constB96))))),
% 7.60/5.59 inference(unit_resolution,[status(thm)],[12605, 10973, 445])).
% 7.60/5.59 tff(12607,plain,
% 7.60/5.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB95, constB96)) | (v101(constB96) <=> (~((~v1(constB96)) | (~v102(constB96))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB95, constB96)) | (v101(constB96) <=> (~((~v1(constB96)) | (~v102(constB96))))))),
% 7.60/5.59 inference(rewrite,[status(thm)],[])).
% 7.60/5.59 tff(12608,plain,
% 7.60/5.59 (((~nextState(constB95, constB96)) | (v101(constB96) <=> (~((~v102(constB96)) | (~v1(constB96)))))) <=> ((~nextState(constB95, constB96)) | (v101(constB96) <=> (~((~v1(constB96)) | (~v102(constB96))))))),
% 7.60/5.59 inference(rewrite,[status(thm)],[])).
% 7.60/5.59 tff(12609,plain,
% 7.60/5.59 (((~![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) <=> (~((~v1(constB96)) | (~v102(constB96)))))))),
% 7.60/5.59 inference(monotonicity,[status(thm)],[12608])).
% 7.60/5.59 tff(12610,plain,
% 7.60/5.59 (((~![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) <=> (~((~v1(constB96)) | (~v102(constB96))))))),
% 7.60/5.59 inference(transitivity,[status(thm)],[12609, 12607])).
% 7.60/5.59 tff(12611,plain,
% 7.60/5.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB95, constB96)) | (v101(constB96) <=> (~((~v102(constB96)) | (~v1(constB96))))))),
% 7.60/5.59 inference(quant_inst,[status(thm)],[])).
% 7.60/5.59 tff(12612,plain,
% 7.60/5.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB95, constB96)) | (v101(constB96) <=> (~((~v1(constB96)) | (~v102(constB96)))))),
% 7.60/5.59 inference(modus_ponens,[status(thm)],[12611, 12610])).
% 7.60/5.59 tff(12613,plain,
% 7.60/5.59 (v101(constB96) <=> (~((~v1(constB96)) | (~v102(constB96))))),
% 7.60/5.59 inference(unit_resolution,[status(thm)],[12612, 10973, 465])).
% 7.60/5.59 tff(12614,plain,
% 7.60/5.59 (((~![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)))),
% 7.60/5.59 inference(rewrite,[status(thm)],[])).
% 7.60/5.59 tff(12615,plain,
% 7.60/5.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB95, constB96)) | ((~v102(constB96)) <=> v104(constB96)))),
% 7.60/5.59 inference(quant_inst,[status(thm)],[])).
% 7.60/5.59 tff(12616,plain,
% 7.60/5.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB95, constB96)) | ((~v102(constB96)) <=> v104(constB96))),
% 7.60/5.59 inference(modus_ponens,[status(thm)],[12615, 12614])).
% 7.60/5.59 tff(12617,plain,
% 7.60/5.59 ((~v102(constB96)) <=> v104(constB96)),
% 7.60/5.59 inference(unit_resolution,[status(thm)],[12616, 10973, 3244])).
% 7.60/5.59 tff(12618,plain,
% 7.60/5.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB95, constB96)) | (v104(constB96) <=> v1(constB95)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB95, constB96)) | (v104(constB96) <=> v1(constB95)))),
% 7.60/5.59 inference(rewrite,[status(thm)],[])).
% 7.60/5.59 tff(12619,plain,
% 7.60/5.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB95, constB96)) | (v104(constB96) <=> v1(constB95)))),
% 7.60/5.59 inference(quant_inst,[status(thm)],[])).
% 7.60/5.59 tff(12620,plain,
% 7.60/5.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB95, constB96)) | (v104(constB96) <=> v1(constB95))),
% 7.60/5.59 inference(modus_ponens,[status(thm)],[12619, 12618])).
% 7.60/5.59 tff(12621,plain,
% 7.60/5.59 (v104(constB96) <=> v1(constB95)),
% 7.60/5.59 inference(unit_resolution,[status(thm)],[12620, 10973, 3258])).
% 7.60/5.59 tff(12622,plain,
% 7.60/5.59 ((~(v104(constB96) <=> v1(constB95))) | (~v104(constB96)) | v1(constB95)),
% 7.60/5.59 inference(tautology,[status(thm)],[])).
% 7.60/5.59 tff(12623,plain,
% 7.60/5.59 ((~(v104(constB96) <=> v1(constB95))) | (~v104(constB96))),
% 7.60/5.59 inference(unit_resolution,[status(thm)],[12622, 11012])).
% 7.60/5.59 tff(12624,plain,
% 7.60/5.59 (~v104(constB96)),
% 7.60/5.59 inference(unit_resolution,[status(thm)],[12623, 12621])).
% 7.60/5.59 tff(12625,plain,
% 7.60/5.59 ((~((~v102(constB96)) <=> v104(constB96))) | v102(constB96) | v104(constB96)),
% 7.60/5.59 inference(tautology,[status(thm)],[])).
% 7.60/5.59 tff(12626,plain,
% 7.60/5.59 (v102(constB96)),
% 7.60/5.59 inference(unit_resolution,[status(thm)],[12625, 12624, 12617])).
% 7.60/5.59 tff(12627,plain,
% 7.60/5.59 (v1(constB96) <=> v1(constB96)),
% 7.60/5.59 inference(rewrite,[status(thm)],[])).
% 7.60/5.59 tff(12628,axiom,(v1(constB96)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_96')).
% 7.60/5.59 tff(12629,plain,
% 7.60/5.59 (v1(constB96)),
% 7.60/5.59 inference(modus_ponens,[status(thm)],[12628, 12627])).
% 7.60/5.59 tff(12630,plain,
% 7.60/5.59 ((~((~v1(constB96)) | (~v102(constB96)))) | (~v1(constB96)) | (~v102(constB96))),
% 7.60/5.59 inference(tautology,[status(thm)],[])).
% 7.60/5.59 tff(12631,plain,
% 7.60/5.59 ((~((~v1(constB96)) | (~v102(constB96)))) | (~v102(constB96))),
% 7.60/5.59 inference(unit_resolution,[status(thm)],[12630, 12629])).
% 7.60/5.59 tff(12632,plain,
% 7.60/5.59 (~((~v1(constB96)) | (~v102(constB96)))),
% 7.60/5.59 inference(unit_resolution,[status(thm)],[12631, 12626])).
% 7.60/5.59 tff(12633,plain,
% 7.60/5.59 ((~(v101(constB96) <=> (~((~v1(constB96)) | (~v102(constB96)))))) | v101(constB96) | ((~v1(constB96)) | (~v102(constB96)))),
% 7.60/5.59 inference(tautology,[status(thm)],[])).
% 7.60/5.59 tff(12634,plain,
% 7.60/5.59 (v101(constB96)),
% 7.60/5.59 inference(unit_resolution,[status(thm)],[12633, 12632, 12613])).
% 7.60/5.59 tff(12635,plain,
% 7.60/5.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB95, constB96)) | (v110(constB96) <=> v108(constB95)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB95, constB96)) | (v110(constB96) <=> v108(constB95)))),
% 7.60/5.59 inference(rewrite,[status(thm)],[])).
% 7.60/5.59 tff(12636,plain,
% 7.60/5.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB95, constB96)) | (v110(constB96) <=> v108(constB95)))),
% 7.60/5.59 inference(quant_inst,[status(thm)],[])).
% 7.60/5.59 tff(12637,plain,
% 7.60/5.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB95, constB96)) | (v110(constB96) <=> v108(constB95))),
% 7.60/5.59 inference(modus_ponens,[status(thm)],[12636, 12635])).
% 7.60/5.59 tff(12638,plain,
% 7.60/5.59 (v110(constB96) <=> v108(constB95)),
% 7.60/5.59 inference(unit_resolution,[status(thm)],[12637, 10973, 3285])).
% 7.60/5.59 tff(12639,plain,
% 7.60/5.59 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB95) <=> (v111(constB95) | v112(constB95)))),
% 7.60/5.59 inference(quant_inst,[status(thm)],[])).
% 7.60/5.59 tff(12640,plain,
% 7.60/5.59 (v108(constB95) <=> (v111(constB95) | v112(constB95))),
% 7.60/5.59 inference(unit_resolution,[status(thm)],[12639, 3296])).
% 7.60/5.59 tff(12641,plain,
% 7.60/5.59 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB95) <=> (~((~v113(constB95)) | (~v126(constB95)))))),
% 7.60/5.59 inference(quant_inst,[status(thm)],[])).
% 7.60/5.59 tff(12642,plain,
% 7.60/5.59 (v112(constB95) <=> (~((~v113(constB95)) | (~v126(constB95))))),
% 7.60/5.59 inference(unit_resolution,[status(thm)],[12641, 3308])).
% 7.60/5.59 tff(12643,plain,
% 7.60/5.59 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB95) <=> (v114(constB95) | v125(constB95)))),
% 7.60/5.59 inference(quant_inst,[status(thm)],[])).
% 7.60/5.59 tff(12644,plain,
% 7.60/5.59 (v113(constB95) <=> (v114(constB95) | v125(constB95))),
% 7.60/5.59 inference(unit_resolution,[status(thm)],[12643, 3317])).
% 7.60/5.59 tff(12645,plain,
% 7.60/5.59 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB95) <=> (~(v90(constB95, bitIndex0) | (~v90(constB95, bitIndex1)) | (~v90(constB95, bitIndex2)))))),
% 7.60/5.59 inference(quant_inst,[status(thm)],[])).
% 7.60/5.59 tff(12646,plain,
% 7.60/5.59 (v125(constB95) <=> (~(v90(constB95, bitIndex0) | (~v90(constB95, bitIndex1)) | (~v90(constB95, bitIndex2))))),
% 7.60/5.59 inference(unit_resolution,[status(thm)],[12645, 3766])).
% 7.60/5.59 tff(12647,plain,
% 7.60/5.59 ((~(v90(constB95, bitIndex0) | (~v90(constB95, bitIndex1)) | (~v90(constB95, bitIndex2)))) | v90(constB95, bitIndex0) | (~v90(constB95, bitIndex1)) | (~v90(constB95, bitIndex2))),
% 7.60/5.59 inference(tautology,[status(thm)],[])).
% 7.60/5.59 tff(12648,plain,
% 7.60/5.59 (~(v90(constB95, bitIndex0) | (~v90(constB95, bitIndex1)) | (~v90(constB95, bitIndex2)))),
% 7.60/5.59 inference(unit_resolution,[status(thm)],[12647, 12535, 12495, 12575])).
% 7.60/5.59 tff(12649,plain,
% 7.60/5.59 ((~(v125(constB95) <=> (~(v90(constB95, bitIndex0) | (~v90(constB95, bitIndex1)) | (~v90(constB95, bitIndex2)))))) | v125(constB95) | (v90(constB95, bitIndex0) | (~v90(constB95, bitIndex1)) | (~v90(constB95, bitIndex2)))),
% 7.60/5.59 inference(tautology,[status(thm)],[])).
% 7.60/5.59 tff(12650,plain,
% 7.60/5.59 (v125(constB95)),
% 7.60/5.59 inference(unit_resolution,[status(thm)],[12649, 12648, 12646])).
% 7.60/5.59 tff(12651,plain,
% 7.60/5.59 ((v114(constB95) | v125(constB95)) | (~v125(constB95))),
% 7.60/5.59 inference(tautology,[status(thm)],[])).
% 7.60/5.59 tff(12652,plain,
% 7.60/5.59 (v114(constB95) | v125(constB95)),
% 7.60/5.59 inference(unit_resolution,[status(thm)],[12651, 12650])).
% 7.60/5.59 tff(12653,plain,
% 7.60/5.59 ((~(v113(constB95) <=> (v114(constB95) | v125(constB95)))) | v113(constB95) | (~(v114(constB95) | v125(constB95)))),
% 7.60/5.59 inference(tautology,[status(thm)],[])).
% 7.60/5.59 tff(12654,plain,
% 7.60/5.59 (v113(constB95)),
% 7.60/5.59 inference(unit_resolution,[status(thm)],[12653, 12652, 12644])).
% 7.60/5.59 tff(12655,plain,
% 7.60/5.59 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB95)) <=> v111(constB95))),
% 7.60/5.59 inference(quant_inst,[status(thm)],[])).
% 7.60/5.59 tff(12656,plain,
% 7.60/5.59 ((~v126(constB95)) <=> v111(constB95)),
% 7.60/5.59 inference(unit_resolution,[status(thm)],[12655, 3396])).
% 7.60/5.59 tff(12657,plain,
% 7.60/5.59 ((~((~v126(constB95)) <=> v111(constB95))) | v126(constB95) | v111(constB95)),
% 7.60/5.59 inference(tautology,[status(thm)],[])).
% 7.60/5.59 tff(12658,plain,
% 7.60/5.59 ((~((~v126(constB95)) <=> v111(constB95))) | v126(constB95)),
% 7.60/5.59 inference(unit_resolution,[status(thm)],[12657, 10986])).
% 7.60/5.59 tff(12659,plain,
% 7.60/5.59 (v126(constB95)),
% 7.60/5.59 inference(unit_resolution,[status(thm)],[12658, 12656])).
% 7.60/5.59 tff(12660,plain,
% 7.60/5.59 ((~((~v113(constB95)) | (~v126(constB95)))) | (~v113(constB95)) | (~v126(constB95))),
% 7.60/5.59 inference(tautology,[status(thm)],[])).
% 7.60/5.59 tff(12661,plain,
% 7.60/5.59 ((~((~v113(constB95)) | (~v126(constB95)))) | (~v113(constB95))),
% 7.60/5.59 inference(unit_resolution,[status(thm)],[12660, 12659])).
% 7.60/5.59 tff(12662,plain,
% 7.60/5.59 (~((~v113(constB95)) | (~v126(constB95)))),
% 7.60/5.59 inference(unit_resolution,[status(thm)],[12661, 12654])).
% 7.60/5.59 tff(12663,plain,
% 7.60/5.59 ((~(v112(constB95) <=> (~((~v113(constB95)) | (~v126(constB95)))))) | v112(constB95) | ((~v113(constB95)) | (~v126(constB95)))),
% 7.60/5.59 inference(tautology,[status(thm)],[])).
% 7.60/5.59 tff(12664,plain,
% 7.60/5.59 (v112(constB95)),
% 7.60/5.59 inference(unit_resolution,[status(thm)],[12663, 12662, 12642])).
% 7.60/5.59 tff(12665,plain,
% 7.60/5.59 ((v111(constB95) | v112(constB95)) | (~v112(constB95))),
% 7.60/5.59 inference(tautology,[status(thm)],[])).
% 7.60/5.59 tff(12666,plain,
% 7.60/5.59 (v111(constB95) | v112(constB95)),
% 7.60/5.59 inference(unit_resolution,[status(thm)],[12665, 12664])).
% 7.60/5.59 tff(12667,plain,
% 7.60/5.59 ((~(v108(constB95) <=> (v111(constB95) | v112(constB95)))) | v108(constB95) | (~(v111(constB95) | v112(constB95)))),
% 7.60/5.59 inference(tautology,[status(thm)],[])).
% 7.60/5.59 tff(12668,plain,
% 7.60/5.59 (v108(constB95)),
% 7.60/5.59 inference(unit_resolution,[status(thm)],[12667, 12666, 12640])).
% 7.60/5.59 tff(12669,plain,
% 7.60/5.59 ((~(v110(constB96) <=> v108(constB95))) | v110(constB96) | (~v108(constB95))),
% 7.60/5.59 inference(tautology,[status(thm)],[])).
% 7.60/5.59 tff(12670,plain,
% 7.60/5.59 (v110(constB96)),
% 7.60/5.59 inference(unit_resolution,[status(thm)],[12669, 12668, 12638])).
% 7.60/5.59 tff(12671,plain,
% 7.60/5.59 ((~((~v101(constB96)) | (~v110(constB96)))) | (~v101(constB96)) | (~v110(constB96))),
% 7.60/5.59 inference(tautology,[status(thm)],[])).
% 7.60/5.59 tff(12672,plain,
% 7.60/5.59 (~((~v101(constB96)) | (~v110(constB96)))),
% 7.60/5.59 inference(unit_resolution,[status(thm)],[12671, 12670, 12634])).
% 7.60/5.59 tff(12673,plain,
% 7.60/5.59 ((~(v100(constB96) <=> (~((~v101(constB96)) | (~v110(constB96)))))) | v100(constB96) | ((~v101(constB96)) | (~v110(constB96)))),
% 7.60/5.59 inference(tautology,[status(thm)],[])).
% 7.60/5.59 tff(12674,plain,
% 7.60/5.59 (v100(constB96)),
% 7.60/5.59 inference(unit_resolution,[status(thm)],[12673, 12672, 12606])).
% 7.60/5.59 tff(12675,plain,
% 7.60/5.59 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB96)) | (~(((~v90(constB96, bitIndex2)) <=> v129(constB96, bitIndex2)) | ((~v90(constB96, bitIndex1)) <=> v129(constB96, bitIndex1)) | ((~v90(constB96, bitIndex0)) <=> v129(constB96, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB96)) | (~(((~v90(constB96, bitIndex2)) <=> v129(constB96, bitIndex2)) | ((~v90(constB96, bitIndex1)) <=> v129(constB96, bitIndex1)) | ((~v90(constB96, bitIndex0)) <=> v129(constB96, bitIndex0)))))),
% 7.60/5.59 inference(rewrite,[status(thm)],[])).
% 7.60/5.59 tff(12676,plain,
% 7.60/5.59 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB96)) | (~(((~v90(constB96, bitIndex2)) <=> v129(constB96, bitIndex2)) | ((~v90(constB96, bitIndex1)) <=> v129(constB96, bitIndex1)) | ((~v90(constB96, bitIndex0)) <=> v129(constB96, bitIndex0)))))),
% 7.60/5.59 inference(quant_inst,[status(thm)],[])).
% 7.60/5.59 tff(12677,plain,
% 7.60/5.59 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB96)) | (~(((~v90(constB96, bitIndex2)) <=> v129(constB96, bitIndex2)) | ((~v90(constB96, bitIndex1)) <=> v129(constB96, bitIndex1)) | ((~v90(constB96, bitIndex0)) <=> v129(constB96, bitIndex0))))),
% 7.60/5.59 inference(modus_ponens,[status(thm)],[12676, 12675])).
% 7.60/5.59 tff(12678,plain,
% 7.60/5.59 ((~v100(constB96)) | (~(((~v90(constB96, bitIndex2)) <=> v129(constB96, bitIndex2)) | ((~v90(constB96, bitIndex1)) <=> v129(constB96, bitIndex1)) | ((~v90(constB96, bitIndex0)) <=> v129(constB96, bitIndex0))))),
% 7.60/5.59 inference(unit_resolution,[status(thm)],[12677, 3429])).
% 7.60/5.59 tff(12679,plain,
% 7.60/5.59 (~(((~v90(constB96, bitIndex2)) <=> v129(constB96, bitIndex2)) | ((~v90(constB96, bitIndex1)) <=> v129(constB96, bitIndex1)) | ((~v90(constB96, bitIndex0)) <=> v129(constB96, bitIndex0)))),
% 7.60/5.59 inference(unit_resolution,[status(thm)],[12678, 12674])).
% 7.60/5.59 tff(12680,plain,
% 7.60/5.59 ((((~v90(constB96, bitIndex2)) <=> v129(constB96, bitIndex2)) | ((~v90(constB96, bitIndex1)) <=> v129(constB96, bitIndex1)) | ((~v90(constB96, bitIndex0)) <=> v129(constB96, bitIndex0))) | (~((~v90(constB96, bitIndex2)) <=> v129(constB96, bitIndex2)))),
% 7.60/5.59 inference(tautology,[status(thm)],[])).
% 7.60/5.59 tff(12681,plain,
% 7.60/5.59 (~((~v90(constB96, bitIndex2)) <=> v129(constB96, bitIndex2))),
% 7.60/5.59 inference(unit_resolution,[status(thm)],[12680, 12679])).
% 7.60/5.59 tff(12682,plain,
% 7.60/5.59 (((~v90(constB96, bitIndex2)) <=> v129(constB96, bitIndex2)) | (~v90(constB96, bitIndex2)) | v129(constB96, bitIndex2)),
% 7.60/5.59 inference(tautology,[status(thm)],[])).
% 7.60/5.59 tff(12683,plain,
% 7.60/5.59 (~v90(constB96, bitIndex2)),
% 7.60/5.59 inference(unit_resolution,[status(thm)],[12682, 12681, 12602])).
% 7.60/5.59 tff(12684,plain,
% 7.60/5.59 (((~v90(constB97, bitIndex2)) <=> v90(constB96, bitIndex2)) | (~v90(constB97, bitIndex2)) | v90(constB96, bitIndex2)),
% 7.60/5.59 inference(tautology,[status(thm)],[])).
% 7.60/5.59 tff(12685,plain,
% 7.60/5.59 (~v90(constB97, bitIndex2)),
% 7.60/5.59 inference(unit_resolution,[status(thm)],[12684, 12683, 10970])).
% 7.60/5.59 tff(12686,plain,
% 7.60/5.59 ((((~v90(constB97, bitIndex1)) <=> v90(constB96, bitIndex1)) | ((~v90(constB97, bitIndex2)) <=> v90(constB96, bitIndex2)) | ((~v90(constB97, bitIndex0)) <=> v90(constB96, bitIndex0))) | (~((~v90(constB97, bitIndex0)) <=> v90(constB96, bitIndex0)))),
% 7.60/5.59 inference(tautology,[status(thm)],[])).
% 7.60/5.59 tff(12687,plain,
% 7.60/5.59 (~((~v90(constB97, bitIndex0)) <=> v90(constB96, bitIndex0))),
% 7.60/5.59 inference(unit_resolution,[status(thm)],[12686, 10968])).
% 7.60/5.59 tff(12688,plain,
% 7.60/5.59 ((((~v129(constB96, bitIndex2)) <=> v127(constB95, bitIndex2)) | ((~v129(constB96, bitIndex1)) <=> v127(constB95, bitIndex1)) | ((~v129(constB96, bitIndex0)) <=> v127(constB95, bitIndex0))) | (~((~v129(constB96, bitIndex0)) <=> v127(constB95, bitIndex0)))),
% 7.60/5.59 inference(tautology,[status(thm)],[])).
% 7.60/5.59 tff(12689,plain,
% 7.60/5.59 (~((~v129(constB96, bitIndex0)) <=> v127(constB95, bitIndex0))),
% 7.60/5.59 inference(unit_resolution,[status(thm)],[12688, 10977])).
% 7.60/5.59 tff(12690,plain,
% 7.60/5.59 ((((~v127(constB95, bitIndex2)) <=> v130(constB95, bitIndex2)) | ((~v127(constB95, bitIndex1)) <=> v130(constB95, bitIndex1)) | ((~v127(constB95, bitIndex0)) <=> v130(constB95, bitIndex0))) | (~((~v127(constB95, bitIndex0)) <=> v130(constB95, bitIndex0)))),
% 7.60/5.59 inference(tautology,[status(thm)],[])).
% 7.60/5.59 tff(12691,plain,
% 7.60/5.59 (~((~v127(constB95, bitIndex0)) <=> v130(constB95, bitIndex0))),
% 7.60/5.59 inference(unit_resolution,[status(thm)],[12690, 10991])).
% 7.60/5.59 tff(12692,plain,
% 7.60/5.59 ((v130(constB95, bitIndex2) | v130(constB95, bitIndex1) | (~v130(constB95, bitIndex0))) | v130(constB95, bitIndex0)),
% 7.60/5.59 inference(tautology,[status(thm)],[])).
% 7.60/5.59 tff(12693,plain,
% 7.60/5.59 (v130(constB95, bitIndex0)),
% 7.60/5.59 inference(unit_resolution,[status(thm)],[12692, 12596])).
% 7.60/5.59 tff(12694,plain,
% 7.60/5.59 (((~v127(constB95, bitIndex0)) <=> v130(constB95, bitIndex0)) | v127(constB95, bitIndex0) | (~v130(constB95, bitIndex0))),
% 7.60/5.59 inference(tautology,[status(thm)],[])).
% 7.60/5.59 tff(12695,plain,
% 7.60/5.59 (v127(constB95, bitIndex0)),
% 7.60/5.59 inference(unit_resolution,[status(thm)],[12694, 12693, 12691])).
% 7.60/5.59 tff(12696,plain,
% 7.60/5.59 (((~v129(constB96, bitIndex0)) <=> v127(constB95, bitIndex0)) | v129(constB96, bitIndex0) | (~v127(constB95, bitIndex0))),
% 7.60/5.59 inference(tautology,[status(thm)],[])).
% 7.60/5.59 tff(12697,plain,
% 7.60/5.59 (v129(constB96, bitIndex0)),
% 7.60/5.59 inference(unit_resolution,[status(thm)],[12696, 12695, 12689])).
% 7.60/5.59 tff(12698,plain,
% 7.60/5.59 ((((~v90(constB96, bitIndex2)) <=> v129(constB96, bitIndex2)) | ((~v90(constB96, bitIndex1)) <=> v129(constB96, bitIndex1)) | ((~v90(constB96, bitIndex0)) <=> v129(constB96, bitIndex0))) | (~((~v90(constB96, bitIndex0)) <=> v129(constB96, bitIndex0)))),
% 7.60/5.59 inference(tautology,[status(thm)],[])).
% 7.60/5.59 tff(12699,plain,
% 7.60/5.59 (~((~v90(constB96, bitIndex0)) <=> v129(constB96, bitIndex0))),
% 7.60/5.59 inference(unit_resolution,[status(thm)],[12698, 12679])).
% 7.60/5.59 tff(12700,plain,
% 7.60/5.59 (((~v90(constB96, bitIndex0)) <=> v129(constB96, bitIndex0)) | v90(constB96, bitIndex0) | (~v129(constB96, bitIndex0))),
% 7.60/5.59 inference(tautology,[status(thm)],[])).
% 7.60/5.59 tff(12701,plain,
% 7.60/5.59 (v90(constB96, bitIndex0)),
% 7.60/5.59 inference(unit_resolution,[status(thm)],[12700, 12699, 12697])).
% 7.60/5.59 tff(12702,plain,
% 7.60/5.59 (((~v90(constB97, bitIndex0)) <=> v90(constB96, bitIndex0)) | v90(constB97, bitIndex0) | (~v90(constB96, bitIndex0))),
% 7.60/5.59 inference(tautology,[status(thm)],[])).
% 7.60/5.59 tff(12703,plain,
% 7.60/5.59 (v90(constB97, bitIndex0)),
% 7.60/5.59 inference(unit_resolution,[status(thm)],[12702, 12701, 12687])).
% 7.60/5.59 tff(12704,plain,
% 7.60/5.59 ((((~v90(constB97, bitIndex1)) <=> v90(constB96, bitIndex1)) | ((~v90(constB97, bitIndex2)) <=> v90(constB96, bitIndex2)) | ((~v90(constB97, bitIndex0)) <=> v90(constB96, bitIndex0))) | (~((~v90(constB97, bitIndex1)) <=> v90(constB96, bitIndex1)))),
% 7.60/5.59 inference(tautology,[status(thm)],[])).
% 7.60/5.59 tff(12705,plain,
% 7.60/5.59 (~((~v90(constB97, bitIndex1)) <=> v90(constB96, bitIndex1))),
% 7.60/5.59 inference(unit_resolution,[status(thm)],[12704, 10968])).
% 7.60/5.59 tff(12706,plain,
% 7.60/5.59 ((((~v129(constB96, bitIndex2)) <=> v127(constB95, bitIndex2)) | ((~v129(constB96, bitIndex1)) <=> v127(constB95, bitIndex1)) | ((~v129(constB96, bitIndex0)) <=> v127(constB95, bitIndex0))) | (~((~v129(constB96, bitIndex1)) <=> v127(constB95, bitIndex1)))),
% 7.60/5.60 inference(tautology,[status(thm)],[])).
% 7.60/5.60 tff(12707,plain,
% 7.60/5.60 (~((~v129(constB96, bitIndex1)) <=> v127(constB95, bitIndex1))),
% 7.60/5.60 inference(unit_resolution,[status(thm)],[12706, 10977])).
% 7.60/5.60 tff(12708,plain,
% 7.60/5.60 ((((~v127(constB95, bitIndex2)) <=> v130(constB95, bitIndex2)) | ((~v127(constB95, bitIndex1)) <=> v130(constB95, bitIndex1)) | ((~v127(constB95, bitIndex0)) <=> v130(constB95, bitIndex0))) | (~((~v127(constB95, bitIndex1)) <=> v130(constB95, bitIndex1)))),
% 7.60/5.60 inference(tautology,[status(thm)],[])).
% 7.60/5.60 tff(12709,plain,
% 7.60/5.60 (~((~v127(constB95, bitIndex1)) <=> v130(constB95, bitIndex1))),
% 7.60/5.60 inference(unit_resolution,[status(thm)],[12708, 10991])).
% 7.60/5.60 tff(12710,plain,
% 7.60/5.60 ((v130(constB95, bitIndex2) | v130(constB95, bitIndex1) | (~v130(constB95, bitIndex0))) | (~v130(constB95, bitIndex1))),
% 7.60/5.60 inference(tautology,[status(thm)],[])).
% 7.60/5.60 tff(12711,plain,
% 7.60/5.60 (~v130(constB95, bitIndex1)),
% 7.60/5.60 inference(unit_resolution,[status(thm)],[12710, 12596])).
% 7.60/5.60 tff(12712,plain,
% 7.60/5.60 (((~v127(constB95, bitIndex1)) <=> v130(constB95, bitIndex1)) | (~v127(constB95, bitIndex1)) | v130(constB95, bitIndex1)),
% 7.60/5.60 inference(tautology,[status(thm)],[])).
% 7.60/5.60 tff(12713,plain,
% 7.60/5.60 (~v127(constB95, bitIndex1)),
% 7.60/5.60 inference(unit_resolution,[status(thm)],[12712, 12711, 12709])).
% 7.60/5.60 tff(12714,plain,
% 7.60/5.60 (((~v129(constB96, bitIndex1)) <=> v127(constB95, bitIndex1)) | (~v129(constB96, bitIndex1)) | v127(constB95, bitIndex1)),
% 7.60/5.60 inference(tautology,[status(thm)],[])).
% 7.60/5.60 tff(12715,plain,
% 7.60/5.60 (~v129(constB96, bitIndex1)),
% 7.60/5.60 inference(unit_resolution,[status(thm)],[12714, 12713, 12707])).
% 7.60/5.60 tff(12716,plain,
% 7.60/5.60 ((((~v90(constB96, bitIndex2)) <=> v129(constB96, bitIndex2)) | ((~v90(constB96, bitIndex1)) <=> v129(constB96, bitIndex1)) | ((~v90(constB96, bitIndex0)) <=> v129(constB96, bitIndex0))) | (~((~v90(constB96, bitIndex1)) <=> v129(constB96, bitIndex1)))),
% 7.60/5.60 inference(tautology,[status(thm)],[])).
% 7.60/5.60 tff(12717,plain,
% 7.60/5.60 (~((~v90(constB96, bitIndex1)) <=> v129(constB96, bitIndex1))),
% 7.60/5.60 inference(unit_resolution,[status(thm)],[12716, 12679])).
% 7.60/5.60 tff(12718,plain,
% 7.60/5.60 (((~v90(constB96, bitIndex1)) <=> v129(constB96, bitIndex1)) | (~v90(constB96, bitIndex1)) | v129(constB96, bitIndex1)),
% 7.60/5.60 inference(tautology,[status(thm)],[])).
% 7.60/5.60 tff(12719,plain,
% 7.60/5.60 (~v90(constB96, bitIndex1)),
% 7.60/5.60 inference(unit_resolution,[status(thm)],[12718, 12717, 12715])).
% 7.60/5.60 tff(12720,plain,
% 7.60/5.60 (((~v90(constB97, bitIndex1)) <=> v90(constB96, bitIndex1)) | (~v90(constB97, bitIndex1)) | v90(constB96, bitIndex1)),
% 7.60/5.60 inference(tautology,[status(thm)],[])).
% 7.60/5.60 tff(12721,plain,
% 7.60/5.60 (~v90(constB97, bitIndex1)),
% 7.60/5.60 inference(unit_resolution,[status(thm)],[12720, 12719, 12705])).
% 7.60/5.60 tff(12722,plain,
% 7.60/5.60 ((~(v90(constB97, bitIndex1) | v90(constB97, bitIndex2) | (~v90(constB97, bitIndex0)))) | v90(constB97, bitIndex1) | v90(constB97, bitIndex2) | (~v90(constB97, bitIndex0))),
% 7.60/5.60 inference(tautology,[status(thm)],[])).
% 7.60/5.60 tff(12723,plain,
% 7.60/5.60 (~(v90(constB97, bitIndex1) | v90(constB97, bitIndex2) | (~v90(constB97, bitIndex0)))),
% 7.60/5.60 inference(unit_resolution,[status(thm)],[12722, 12721, 12703, 12685])).
% 7.60/5.60 tff(12724,plain,
% 7.60/5.60 ((~(v120(constB97) <=> (~(v90(constB97, bitIndex1) | v90(constB97, bitIndex2) | (~v90(constB97, bitIndex0)))))) | v120(constB97) | (v90(constB97, bitIndex1) | v90(constB97, bitIndex2) | (~v90(constB97, bitIndex0)))),
% 7.60/5.60 inference(tautology,[status(thm)],[])).
% 7.60/5.60 tff(12725,plain,
% 7.60/5.60 (v120(constB97)),
% 7.60/5.60 inference(unit_resolution,[status(thm)],[12724, 12723, 10934])).
% 7.60/5.60 tff(12726,plain,
% 7.60/5.60 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB97)) | (~(v130(constB97, bitIndex2) | v130(constB97, bitIndex0) | (~v130(constB97, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB97)) | (~(v130(constB97, bitIndex2) | v130(constB97, bitIndex0) | (~v130(constB97, bitIndex1)))))),
% 7.60/5.60 inference(rewrite,[status(thm)],[])).
% 7.60/5.60 tff(12727,plain,
% 7.60/5.60 (((~v120(constB97)) | (~(v130(constB97, bitIndex0) | v130(constB97, bitIndex2) | (~v130(constB97, bitIndex1))))) <=> ((~v120(constB97)) | (~(v130(constB97, bitIndex2) | v130(constB97, bitIndex0) | (~v130(constB97, bitIndex1)))))),
% 7.60/5.60 inference(rewrite,[status(thm)],[])).
% 7.60/5.60 tff(12728,plain,
% 7.60/5.60 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB97)) | (~(v130(constB97, bitIndex0) | v130(constB97, bitIndex2) | (~v130(constB97, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB97)) | (~(v130(constB97, bitIndex2) | v130(constB97, bitIndex0) | (~v130(constB97, bitIndex1))))))),
% 7.60/5.60 inference(monotonicity,[status(thm)],[12727])).
% 7.60/5.60 tff(12729,plain,
% 7.60/5.60 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB97)) | (~(v130(constB97, bitIndex0) | v130(constB97, bitIndex2) | (~v130(constB97, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB97)) | (~(v130(constB97, bitIndex2) | v130(constB97, bitIndex0) | (~v130(constB97, bitIndex1)))))),
% 7.60/5.60 inference(transitivity,[status(thm)],[12728, 12726])).
% 7.60/5.60 tff(12730,plain,
% 7.60/5.60 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB97)) | (~(v130(constB97, bitIndex0) | v130(constB97, bitIndex2) | (~v130(constB97, bitIndex1)))))),
% 7.60/5.60 inference(quant_inst,[status(thm)],[])).
% 7.60/5.60 tff(12731,plain,
% 7.60/5.60 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB97)) | (~(v130(constB97, bitIndex2) | v130(constB97, bitIndex0) | (~v130(constB97, bitIndex1))))),
% 7.60/5.60 inference(modus_ponens,[status(thm)],[12730, 12729])).
% 7.60/5.60 tff(12732,plain,
% 7.60/5.60 ((~v120(constB97)) | (~(v130(constB97, bitIndex2) | v130(constB97, bitIndex0) | (~v130(constB97, bitIndex1))))),
% 7.60/5.60 inference(unit_resolution,[status(thm)],[12731, 3881])).
% 7.60/5.60 tff(12733,plain,
% 7.60/5.60 (~(v130(constB97, bitIndex2) | v130(constB97, bitIndex0) | (~v130(constB97, bitIndex1)))),
% 7.60/5.60 inference(unit_resolution,[status(thm)],[12732, 12725])).
% 7.60/5.60 tff(12734,plain,
% 7.60/5.60 ((v130(constB97, bitIndex2) | v130(constB97, bitIndex0) | (~v130(constB97, bitIndex1))) | (~v130(constB97, bitIndex2))),
% 7.60/5.60 inference(tautology,[status(thm)],[])).
% 7.60/5.60 tff(12735,plain,
% 7.60/5.60 (~v130(constB97, bitIndex2)),
% 7.60/5.60 inference(unit_resolution,[status(thm)],[12734, 12733])).
% 7.60/5.60 tff(12736,plain,
% 7.60/5.60 (((~v127(constB97, bitIndex2)) <=> v130(constB97, bitIndex2)) | (~v127(constB97, bitIndex2)) | v130(constB97, bitIndex2)),
% 7.60/5.60 inference(tautology,[status(thm)],[])).
% 7.60/5.60 tff(12737,plain,
% 7.60/5.60 (~v127(constB97, bitIndex2)),
% 7.60/5.60 inference(unit_resolution,[status(thm)],[12736, 12735, 10932])).
% 7.60/5.60 tff(12738,plain,
% 7.60/5.60 (((~v129(constB98, bitIndex2)) <=> v127(constB97, bitIndex2)) | (~v129(constB98, bitIndex2)) | v127(constB97, bitIndex2)),
% 7.60/5.60 inference(tautology,[status(thm)],[])).
% 7.60/5.60 tff(12739,plain,
% 7.60/5.60 (~v129(constB98, bitIndex2)),
% 7.60/5.60 inference(unit_resolution,[status(thm)],[12738, 12737, 10918])).
% 7.60/5.60 tff(12740,plain,
% 7.60/5.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB97, constB98)) | (v100(constB98) <=> (~((~v101(constB98)) | (~v110(constB98))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB97, constB98)) | (v100(constB98) <=> (~((~v101(constB98)) | (~v110(constB98))))))),
% 7.60/5.60 inference(rewrite,[status(thm)],[])).
% 7.60/5.60 tff(12741,plain,
% 7.60/5.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB97, constB98)) | (v100(constB98) <=> (~((~v101(constB98)) | (~v110(constB98))))))),
% 7.60/5.60 inference(quant_inst,[status(thm)],[])).
% 7.60/5.60 tff(12742,plain,
% 7.60/5.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB97, constB98)) | (v100(constB98) <=> (~((~v101(constB98)) | (~v110(constB98)))))),
% 7.60/5.60 inference(modus_ponens,[status(thm)],[12741, 12740])).
% 7.60/5.60 tff(12743,plain,
% 7.60/5.60 (v100(constB98) <=> (~((~v101(constB98)) | (~v110(constB98))))),
% 7.60/5.60 inference(unit_resolution,[status(thm)],[12742, 10912, 445])).
% 7.60/5.60 tff(12744,plain,
% 7.60/5.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB97, constB98)) | (v101(constB98) <=> (~((~v1(constB98)) | (~v102(constB98))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB97, constB98)) | (v101(constB98) <=> (~((~v1(constB98)) | (~v102(constB98))))))),
% 7.60/5.60 inference(rewrite,[status(thm)],[])).
% 7.60/5.60 tff(12745,plain,
% 7.60/5.60 (((~nextState(constB97, constB98)) | (v101(constB98) <=> (~((~v102(constB98)) | (~v1(constB98)))))) <=> ((~nextState(constB97, constB98)) | (v101(constB98) <=> (~((~v1(constB98)) | (~v102(constB98))))))),
% 7.60/5.60 inference(rewrite,[status(thm)],[])).
% 7.60/5.60 tff(12746,plain,
% 7.60/5.60 (((~![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) <=> (~((~v1(constB98)) | (~v102(constB98)))))))),
% 7.60/5.60 inference(monotonicity,[status(thm)],[12745])).
% 7.60/5.60 tff(12747,plain,
% 7.60/5.60 (((~![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) <=> (~((~v1(constB98)) | (~v102(constB98))))))),
% 7.60/5.60 inference(transitivity,[status(thm)],[12746, 12744])).
% 7.60/5.60 tff(12748,plain,
% 7.60/5.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB97, constB98)) | (v101(constB98) <=> (~((~v102(constB98)) | (~v1(constB98))))))),
% 7.60/5.60 inference(quant_inst,[status(thm)],[])).
% 7.60/5.60 tff(12749,plain,
% 7.60/5.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB97, constB98)) | (v101(constB98) <=> (~((~v1(constB98)) | (~v102(constB98)))))),
% 7.60/5.60 inference(modus_ponens,[status(thm)],[12748, 12747])).
% 7.60/5.60 tff(12750,plain,
% 7.60/5.60 (v101(constB98) <=> (~((~v1(constB98)) | (~v102(constB98))))),
% 7.60/5.60 inference(unit_resolution,[status(thm)],[12749, 10912, 465])).
% 7.60/5.60 tff(12751,plain,
% 7.60/5.60 (((~![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)))),
% 7.60/5.60 inference(rewrite,[status(thm)],[])).
% 7.60/5.60 tff(12752,plain,
% 7.60/5.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB97, constB98)) | ((~v102(constB98)) <=> v104(constB98)))),
% 7.60/5.60 inference(quant_inst,[status(thm)],[])).
% 7.60/5.60 tff(12753,plain,
% 7.60/5.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB97, constB98)) | ((~v102(constB98)) <=> v104(constB98))),
% 7.60/5.60 inference(modus_ponens,[status(thm)],[12752, 12751])).
% 7.60/5.60 tff(12754,plain,
% 7.60/5.60 ((~v102(constB98)) <=> v104(constB98)),
% 7.60/5.60 inference(unit_resolution,[status(thm)],[12753, 10912, 3244])).
% 7.60/5.60 tff(12755,plain,
% 7.60/5.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB97, constB98)) | (v104(constB98) <=> v1(constB97)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB97, constB98)) | (v104(constB98) <=> v1(constB97)))),
% 7.60/5.60 inference(rewrite,[status(thm)],[])).
% 7.60/5.60 tff(12756,plain,
% 7.60/5.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB97, constB98)) | (v104(constB98) <=> v1(constB97)))),
% 7.60/5.60 inference(quant_inst,[status(thm)],[])).
% 7.60/5.60 tff(12757,plain,
% 7.60/5.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB97, constB98)) | (v104(constB98) <=> v1(constB97))),
% 7.60/5.60 inference(modus_ponens,[status(thm)],[12756, 12755])).
% 7.60/5.60 tff(12758,plain,
% 7.60/5.60 (v104(constB98) <=> v1(constB97)),
% 7.60/5.60 inference(unit_resolution,[status(thm)],[12757, 10912, 3258])).
% 7.60/5.60 tff(12759,plain,
% 7.60/5.60 ((~(v104(constB98) <=> v1(constB97))) | (~v104(constB98)) | v1(constB97)),
% 7.60/5.60 inference(tautology,[status(thm)],[])).
% 7.60/5.60 tff(12760,plain,
% 7.60/5.60 ((~(v104(constB98) <=> v1(constB97))) | (~v104(constB98))),
% 7.60/5.60 inference(unit_resolution,[status(thm)],[12759, 10951])).
% 7.60/5.60 tff(12761,plain,
% 7.60/5.60 (~v104(constB98)),
% 7.60/5.60 inference(unit_resolution,[status(thm)],[12760, 12758])).
% 7.60/5.60 tff(12762,plain,
% 7.60/5.60 ((~((~v102(constB98)) <=> v104(constB98))) | v102(constB98) | v104(constB98)),
% 7.60/5.60 inference(tautology,[status(thm)],[])).
% 7.60/5.60 tff(12763,plain,
% 7.60/5.60 (v102(constB98)),
% 7.60/5.60 inference(unit_resolution,[status(thm)],[12762, 12761, 12754])).
% 7.60/5.60 tff(12764,plain,
% 7.60/5.60 (v1(constB98) <=> v1(constB98)),
% 7.60/5.60 inference(rewrite,[status(thm)],[])).
% 7.60/5.60 tff(12765,axiom,(v1(constB98)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_98')).
% 7.60/5.60 tff(12766,plain,
% 7.60/5.60 (v1(constB98)),
% 7.60/5.60 inference(modus_ponens,[status(thm)],[12765, 12764])).
% 7.60/5.60 tff(12767,plain,
% 7.60/5.60 ((~((~v1(constB98)) | (~v102(constB98)))) | (~v1(constB98)) | (~v102(constB98))),
% 7.60/5.60 inference(tautology,[status(thm)],[])).
% 7.60/5.60 tff(12768,plain,
% 7.60/5.60 ((~((~v1(constB98)) | (~v102(constB98)))) | (~v102(constB98))),
% 7.60/5.60 inference(unit_resolution,[status(thm)],[12767, 12766])).
% 7.60/5.60 tff(12769,plain,
% 7.60/5.60 (~((~v1(constB98)) | (~v102(constB98)))),
% 7.60/5.60 inference(unit_resolution,[status(thm)],[12768, 12763])).
% 7.60/5.60 tff(12770,plain,
% 7.60/5.60 ((~(v101(constB98) <=> (~((~v1(constB98)) | (~v102(constB98)))))) | v101(constB98) | ((~v1(constB98)) | (~v102(constB98)))),
% 7.60/5.60 inference(tautology,[status(thm)],[])).
% 7.60/5.60 tff(12771,plain,
% 7.60/5.60 (v101(constB98)),
% 7.60/5.60 inference(unit_resolution,[status(thm)],[12770, 12769, 12750])).
% 7.60/5.60 tff(12772,plain,
% 7.60/5.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB97, constB98)) | (v110(constB98) <=> v108(constB97)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB97, constB98)) | (v110(constB98) <=> v108(constB97)))),
% 7.60/5.60 inference(rewrite,[status(thm)],[])).
% 7.60/5.60 tff(12773,plain,
% 7.60/5.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB97, constB98)) | (v110(constB98) <=> v108(constB97)))),
% 7.60/5.60 inference(quant_inst,[status(thm)],[])).
% 7.60/5.60 tff(12774,plain,
% 7.60/5.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB97, constB98)) | (v110(constB98) <=> v108(constB97))),
% 7.60/5.60 inference(modus_ponens,[status(thm)],[12773, 12772])).
% 7.60/5.60 tff(12775,plain,
% 7.60/5.60 (v110(constB98) <=> v108(constB97)),
% 7.60/5.60 inference(unit_resolution,[status(thm)],[12774, 10912, 3285])).
% 7.60/5.60 tff(12776,plain,
% 7.60/5.60 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB97) <=> (v111(constB97) | v112(constB97)))),
% 7.60/5.60 inference(quant_inst,[status(thm)],[])).
% 7.60/5.60 tff(12777,plain,
% 7.60/5.60 (v108(constB97) <=> (v111(constB97) | v112(constB97))),
% 7.60/5.60 inference(unit_resolution,[status(thm)],[12776, 3296])).
% 7.60/5.60 tff(12778,plain,
% 7.60/5.60 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB97) <=> (~((~v113(constB97)) | (~v126(constB97)))))),
% 7.60/5.60 inference(quant_inst,[status(thm)],[])).
% 7.60/5.60 tff(12779,plain,
% 7.60/5.60 (v112(constB97) <=> (~((~v113(constB97)) | (~v126(constB97))))),
% 7.60/5.60 inference(unit_resolution,[status(thm)],[12778, 3308])).
% 7.60/5.60 tff(12780,plain,
% 7.60/5.60 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB97) <=> (v114(constB97) | v125(constB97)))),
% 7.60/5.60 inference(quant_inst,[status(thm)],[])).
% 7.60/5.60 tff(12781,plain,
% 7.60/5.60 (v113(constB97) <=> (v114(constB97) | v125(constB97))),
% 7.60/5.60 inference(unit_resolution,[status(thm)],[12780, 3317])).
% 7.60/5.60 tff(12782,plain,
% 7.60/5.60 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB97) <=> (v115(constB97) | v124(constB97)))),
% 7.60/5.60 inference(quant_inst,[status(thm)],[])).
% 7.60/5.60 tff(12783,plain,
% 7.60/5.60 (v114(constB97) <=> (v115(constB97) | v124(constB97))),
% 7.60/5.60 inference(unit_resolution,[status(thm)],[12782, 3326])).
% 7.60/5.60 tff(12784,plain,
% 7.60/5.60 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB97) <=> (v116(constB97) | v123(constB97)))),
% 7.60/5.60 inference(quant_inst,[status(thm)],[])).
% 7.60/5.60 tff(12785,plain,
% 7.60/5.60 (v115(constB97) <=> (v116(constB97) | v123(constB97))),
% 7.60/5.60 inference(unit_resolution,[status(thm)],[12784, 3335])).
% 7.60/5.60 tff(12786,plain,
% 7.60/5.60 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB97) <=> (v117(constB97) | v122(constB97)))),
% 7.60/5.60 inference(quant_inst,[status(thm)],[])).
% 7.60/5.60 tff(12787,plain,
% 7.60/5.60 (v116(constB97) <=> (v117(constB97) | v122(constB97))),
% 7.60/5.60 inference(unit_resolution,[status(thm)],[12786, 3344])).
% 7.60/5.60 tff(12788,plain,
% 7.60/5.60 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB97) <=> (v118(constB97) | v121(constB97)))),
% 7.60/5.60 inference(quant_inst,[status(thm)],[])).
% 7.60/5.60 tff(12789,plain,
% 7.60/5.60 (v117(constB97) <=> (v118(constB97) | v121(constB97))),
% 7.60/5.60 inference(unit_resolution,[status(thm)],[12788, 3353])).
% 7.60/5.60 tff(12790,plain,
% 7.60/5.60 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB97) <=> (v119(constB97) | v120(constB97)))),
% 7.60/5.60 inference(quant_inst,[status(thm)],[])).
% 7.60/5.60 tff(12791,plain,
% 7.60/5.60 (v118(constB97) <=> (v119(constB97) | v120(constB97))),
% 7.60/5.60 inference(unit_resolution,[status(thm)],[12790, 3362])).
% 7.60/5.60 tff(12792,plain,
% 7.60/5.60 ((v119(constB97) | v120(constB97)) | (~v120(constB97))),
% 7.60/5.60 inference(tautology,[status(thm)],[])).
% 7.60/5.60 tff(12793,plain,
% 7.60/5.60 (v119(constB97) | v120(constB97)),
% 7.60/5.60 inference(unit_resolution,[status(thm)],[12792, 12725])).
% 7.60/5.60 tff(12794,plain,
% 7.60/5.60 ((~(v118(constB97) <=> (v119(constB97) | v120(constB97)))) | v118(constB97) | (~(v119(constB97) | v120(constB97)))),
% 7.60/5.60 inference(tautology,[status(thm)],[])).
% 7.60/5.60 tff(12795,plain,
% 7.60/5.60 (v118(constB97)),
% 7.60/5.60 inference(unit_resolution,[status(thm)],[12794, 12793, 12791])).
% 7.60/5.60 tff(12796,plain,
% 7.60/5.60 ((v118(constB97) | v121(constB97)) | (~v118(constB97))),
% 7.60/5.60 inference(tautology,[status(thm)],[])).
% 7.60/5.60 tff(12797,plain,
% 7.60/5.60 (v118(constB97) | v121(constB97)),
% 7.60/5.60 inference(unit_resolution,[status(thm)],[12796, 12795])).
% 7.60/5.60 tff(12798,plain,
% 7.60/5.60 ((~(v117(constB97) <=> (v118(constB97) | v121(constB97)))) | v117(constB97) | (~(v118(constB97) | v121(constB97)))),
% 7.60/5.60 inference(tautology,[status(thm)],[])).
% 7.60/5.60 tff(12799,plain,
% 7.60/5.60 (v117(constB97)),
% 7.60/5.60 inference(unit_resolution,[status(thm)],[12798, 12797, 12789])).
% 7.60/5.60 tff(12800,plain,
% 7.60/5.60 ((v117(constB97) | v122(constB97)) | (~v117(constB97))),
% 7.60/5.60 inference(tautology,[status(thm)],[])).
% 7.60/5.60 tff(12801,plain,
% 7.60/5.60 (v117(constB97) | v122(constB97)),
% 7.60/5.60 inference(unit_resolution,[status(thm)],[12800, 12799])).
% 7.60/5.60 tff(12802,plain,
% 7.60/5.60 ((~(v116(constB97) <=> (v117(constB97) | v122(constB97)))) | v116(constB97) | (~(v117(constB97) | v122(constB97)))),
% 7.60/5.60 inference(tautology,[status(thm)],[])).
% 7.60/5.60 tff(12803,plain,
% 7.60/5.60 (v116(constB97)),
% 7.60/5.60 inference(unit_resolution,[status(thm)],[12802, 12801, 12787])).
% 7.60/5.60 tff(12804,plain,
% 7.60/5.60 ((v116(constB97) | v123(constB97)) | (~v116(constB97))),
% 7.60/5.60 inference(tautology,[status(thm)],[])).
% 7.60/5.60 tff(12805,plain,
% 7.60/5.60 (v116(constB97) | v123(constB97)),
% 7.60/5.60 inference(unit_resolution,[status(thm)],[12804, 12803])).
% 7.60/5.60 tff(12806,plain,
% 7.60/5.60 ((~(v115(constB97) <=> (v116(constB97) | v123(constB97)))) | v115(constB97) | (~(v116(constB97) | v123(constB97)))),
% 7.60/5.60 inference(tautology,[status(thm)],[])).
% 7.60/5.60 tff(12807,plain,
% 7.60/5.60 (v115(constB97)),
% 7.60/5.60 inference(unit_resolution,[status(thm)],[12806, 12805, 12785])).
% 7.60/5.60 tff(12808,plain,
% 7.60/5.60 ((v115(constB97) | v124(constB97)) | (~v115(constB97))),
% 7.60/5.60 inference(tautology,[status(thm)],[])).
% 7.60/5.60 tff(12809,plain,
% 7.60/5.60 (v115(constB97) | v124(constB97)),
% 7.60/5.60 inference(unit_resolution,[status(thm)],[12808, 12807])).
% 7.60/5.60 tff(12810,plain,
% 7.60/5.60 ((~(v114(constB97) <=> (v115(constB97) | v124(constB97)))) | v114(constB97) | (~(v115(constB97) | v124(constB97)))),
% 7.60/5.60 inference(tautology,[status(thm)],[])).
% 7.60/5.60 tff(12811,plain,
% 7.60/5.60 (v114(constB97)),
% 7.60/5.60 inference(unit_resolution,[status(thm)],[12810, 12809, 12783])).
% 7.60/5.60 tff(12812,plain,
% 7.60/5.60 ((v114(constB97) | v125(constB97)) | (~v114(constB97))),
% 7.60/5.60 inference(tautology,[status(thm)],[])).
% 7.60/5.60 tff(12813,plain,
% 7.60/5.60 (v114(constB97) | v125(constB97)),
% 7.60/5.60 inference(unit_resolution,[status(thm)],[12812, 12811])).
% 7.60/5.60 tff(12814,plain,
% 7.60/5.60 ((~(v113(constB97) <=> (v114(constB97) | v125(constB97)))) | v113(constB97) | (~(v114(constB97) | v125(constB97)))),
% 7.60/5.60 inference(tautology,[status(thm)],[])).
% 7.60/5.60 tff(12815,plain,
% 7.60/5.60 (v113(constB97)),
% 7.60/5.60 inference(unit_resolution,[status(thm)],[12814, 12813, 12781])).
% 7.60/5.60 tff(12816,plain,
% 7.60/5.60 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB97)) <=> v111(constB97))),
% 7.60/5.60 inference(quant_inst,[status(thm)],[])).
% 7.60/5.60 tff(12817,plain,
% 7.60/5.60 ((~v126(constB97)) <=> v111(constB97)),
% 7.60/5.60 inference(unit_resolution,[status(thm)],[12816, 3396])).
% 7.60/5.60 tff(12818,plain,
% 7.60/5.60 ((~((~v126(constB97)) <=> v111(constB97))) | v126(constB97) | v111(constB97)),
% 7.60/5.60 inference(tautology,[status(thm)],[])).
% 7.60/5.60 tff(12819,plain,
% 7.60/5.60 ((~((~v126(constB97)) <=> v111(constB97))) | v126(constB97)),
% 7.60/5.60 inference(unit_resolution,[status(thm)],[12818, 10925])).
% 7.60/5.60 tff(12820,plain,
% 7.60/5.60 (v126(constB97)),
% 7.60/5.60 inference(unit_resolution,[status(thm)],[12819, 12817])).
% 7.60/5.60 tff(12821,plain,
% 7.60/5.60 ((~((~v113(constB97)) | (~v126(constB97)))) | (~v113(constB97)) | (~v126(constB97))),
% 7.60/5.60 inference(tautology,[status(thm)],[])).
% 7.60/5.60 tff(12822,plain,
% 7.60/5.60 ((~((~v113(constB97)) | (~v126(constB97)))) | (~v113(constB97))),
% 7.60/5.60 inference(unit_resolution,[status(thm)],[12821, 12820])).
% 7.60/5.60 tff(12823,plain,
% 7.60/5.60 (~((~v113(constB97)) | (~v126(constB97)))),
% 7.60/5.60 inference(unit_resolution,[status(thm)],[12822, 12815])).
% 7.60/5.60 tff(12824,plain,
% 7.60/5.60 ((~(v112(constB97) <=> (~((~v113(constB97)) | (~v126(constB97)))))) | v112(constB97) | ((~v113(constB97)) | (~v126(constB97)))),
% 7.60/5.60 inference(tautology,[status(thm)],[])).
% 7.60/5.60 tff(12825,plain,
% 7.60/5.60 (v112(constB97)),
% 7.60/5.60 inference(unit_resolution,[status(thm)],[12824, 12823, 12779])).
% 7.60/5.60 tff(12826,plain,
% 7.60/5.60 ((v111(constB97) | v112(constB97)) | (~v112(constB97))),
% 7.60/5.60 inference(tautology,[status(thm)],[])).
% 7.60/5.60 tff(12827,plain,
% 7.60/5.60 (v111(constB97) | v112(constB97)),
% 7.60/5.60 inference(unit_resolution,[status(thm)],[12826, 12825])).
% 7.60/5.60 tff(12828,plain,
% 7.60/5.60 ((~(v108(constB97) <=> (v111(constB97) | v112(constB97)))) | v108(constB97) | (~(v111(constB97) | v112(constB97)))),
% 7.60/5.60 inference(tautology,[status(thm)],[])).
% 7.60/5.60 tff(12829,plain,
% 7.60/5.60 (v108(constB97)),
% 7.60/5.60 inference(unit_resolution,[status(thm)],[12828, 12827, 12777])).
% 7.60/5.60 tff(12830,plain,
% 7.60/5.60 ((~(v110(constB98) <=> v108(constB97))) | v110(constB98) | (~v108(constB97))),
% 7.60/5.60 inference(tautology,[status(thm)],[])).
% 7.60/5.60 tff(12831,plain,
% 7.60/5.60 (v110(constB98)),
% 7.60/5.60 inference(unit_resolution,[status(thm)],[12830, 12829, 12775])).
% 7.60/5.60 tff(12832,plain,
% 7.60/5.60 ((~((~v101(constB98)) | (~v110(constB98)))) | (~v101(constB98)) | (~v110(constB98))),
% 7.60/5.60 inference(tautology,[status(thm)],[])).
% 7.60/5.60 tff(12833,plain,
% 7.60/5.60 (~((~v101(constB98)) | (~v110(constB98)))),
% 7.60/5.60 inference(unit_resolution,[status(thm)],[12832, 12831, 12771])).
% 7.60/5.60 tff(12834,plain,
% 7.60/5.60 ((~(v100(constB98) <=> (~((~v101(constB98)) | (~v110(constB98)))))) | v100(constB98) | ((~v101(constB98)) | (~v110(constB98)))),
% 7.60/5.60 inference(tautology,[status(thm)],[])).
% 7.60/5.60 tff(12835,plain,
% 7.60/5.60 (v100(constB98)),
% 7.60/5.60 inference(unit_resolution,[status(thm)],[12834, 12833, 12743])).
% 7.60/5.60 tff(12836,plain,
% 7.60/5.60 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB98)) | (~(((~v90(constB98, bitIndex0)) <=> v129(constB98, bitIndex0)) | ((~v90(constB98, bitIndex2)) <=> v129(constB98, bitIndex2)) | ((~v90(constB98, bitIndex1)) <=> v129(constB98, bitIndex1)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB98)) | (~(((~v90(constB98, bitIndex0)) <=> v129(constB98, bitIndex0)) | ((~v90(constB98, bitIndex2)) <=> v129(constB98, bitIndex2)) | ((~v90(constB98, bitIndex1)) <=> v129(constB98, bitIndex1)))))),
% 7.60/5.60 inference(rewrite,[status(thm)],[])).
% 7.60/5.60 tff(12837,plain,
% 7.60/5.60 (((~v100(constB98)) | (~(((~v90(constB98, bitIndex2)) <=> v129(constB98, bitIndex2)) | ((~v90(constB98, bitIndex1)) <=> v129(constB98, bitIndex1)) | ((~v90(constB98, bitIndex0)) <=> v129(constB98, bitIndex0))))) <=> ((~v100(constB98)) | (~(((~v90(constB98, bitIndex0)) <=> v129(constB98, bitIndex0)) | ((~v90(constB98, bitIndex2)) <=> v129(constB98, bitIndex2)) | ((~v90(constB98, bitIndex1)) <=> v129(constB98, bitIndex1)))))),
% 7.60/5.60 inference(rewrite,[status(thm)],[])).
% 7.60/5.60 tff(12838,plain,
% 7.60/5.60 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB98)) | (~(((~v90(constB98, bitIndex2)) <=> v129(constB98, bitIndex2)) | ((~v90(constB98, bitIndex1)) <=> v129(constB98, bitIndex1)) | ((~v90(constB98, bitIndex0)) <=> v129(constB98, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB98)) | (~(((~v90(constB98, bitIndex0)) <=> v129(constB98, bitIndex0)) | ((~v90(constB98, bitIndex2)) <=> v129(constB98, bitIndex2)) | ((~v90(constB98, bitIndex1)) <=> v129(constB98, bitIndex1))))))),
% 7.60/5.60 inference(monotonicity,[status(thm)],[12837])).
% 7.60/5.60 tff(12839,plain,
% 7.60/5.60 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB98)) | (~(((~v90(constB98, bitIndex2)) <=> v129(constB98, bitIndex2)) | ((~v90(constB98, bitIndex1)) <=> v129(constB98, bitIndex1)) | ((~v90(constB98, bitIndex0)) <=> v129(constB98, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB98)) | (~(((~v90(constB98, bitIndex0)) <=> v129(constB98, bitIndex0)) | ((~v90(constB98, bitIndex2)) <=> v129(constB98, bitIndex2)) | ((~v90(constB98, bitIndex1)) <=> v129(constB98, bitIndex1)))))),
% 7.60/5.60 inference(transitivity,[status(thm)],[12838, 12836])).
% 7.60/5.60 tff(12840,plain,
% 7.60/5.60 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB98)) | (~(((~v90(constB98, bitIndex2)) <=> v129(constB98, bitIndex2)) | ((~v90(constB98, bitIndex1)) <=> v129(constB98, bitIndex1)) | ((~v90(constB98, bitIndex0)) <=> v129(constB98, bitIndex0)))))),
% 7.60/5.60 inference(quant_inst,[status(thm)],[])).
% 7.60/5.60 tff(12841,plain,
% 7.60/5.60 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB98)) | (~(((~v90(constB98, bitIndex0)) <=> v129(constB98, bitIndex0)) | ((~v90(constB98, bitIndex2)) <=> v129(constB98, bitIndex2)) | ((~v90(constB98, bitIndex1)) <=> v129(constB98, bitIndex1))))),
% 7.60/5.60 inference(modus_ponens,[status(thm)],[12840, 12839])).
% 7.60/5.60 tff(12842,plain,
% 7.60/5.60 ((~v100(constB98)) | (~(((~v90(constB98, bitIndex0)) <=> v129(constB98, bitIndex0)) | ((~v90(constB98, bitIndex2)) <=> v129(constB98, bitIndex2)) | ((~v90(constB98, bitIndex1)) <=> v129(constB98, bitIndex1))))),
% 7.60/5.60 inference(unit_resolution,[status(thm)],[12841, 3429])).
% 7.60/5.60 tff(12843,plain,
% 7.60/5.60 (~(((~v90(constB98, bitIndex0)) <=> v129(constB98, bitIndex0)) | ((~v90(constB98, bitIndex2)) <=> v129(constB98, bitIndex2)) | ((~v90(constB98, bitIndex1)) <=> v129(constB98, bitIndex1)))),
% 7.60/5.60 inference(unit_resolution,[status(thm)],[12842, 12835])).
% 7.60/5.60 tff(12844,plain,
% 7.60/5.60 ((((~v90(constB98, bitIndex0)) <=> v129(constB98, bitIndex0)) | ((~v90(constB98, bitIndex2)) <=> v129(constB98, bitIndex2)) | ((~v90(constB98, bitIndex1)) <=> v129(constB98, bitIndex1))) | (~((~v90(constB98, bitIndex2)) <=> v129(constB98, bitIndex2)))),
% 7.60/5.60 inference(tautology,[status(thm)],[])).
% 7.60/5.60 tff(12845,plain,
% 7.60/5.60 (~((~v90(constB98, bitIndex2)) <=> v129(constB98, bitIndex2))),
% 7.60/5.60 inference(unit_resolution,[status(thm)],[12844, 12843])).
% 7.60/5.60 tff(12846,plain,
% 7.60/5.60 (((~v90(constB98, bitIndex2)) <=> v129(constB98, bitIndex2)) | (~v90(constB98, bitIndex2)) | v129(constB98, bitIndex2)),
% 7.60/5.60 inference(tautology,[status(thm)],[])).
% 7.60/5.60 tff(12847,plain,
% 7.60/5.60 (~v90(constB98, bitIndex2)),
% 7.60/5.60 inference(unit_resolution,[status(thm)],[12846, 12845, 12739])).
% 7.60/5.60 tff(12848,plain,
% 7.60/5.60 (((~v90(constB99, bitIndex2)) <=> v90(constB98, bitIndex2)) | (~v90(constB99, bitIndex2)) | v90(constB98, bitIndex2)),
% 7.60/5.60 inference(tautology,[status(thm)],[])).
% 7.60/5.60 tff(12849,plain,
% 7.60/5.60 (~v90(constB99, bitIndex2)),
% 7.60/5.60 inference(unit_resolution,[status(thm)],[12848, 12847, 10909])).
% 7.60/5.60 tff(12850,plain,
% 7.60/5.60 ((((~v90(constB99, bitIndex1)) <=> v90(constB98, bitIndex1)) | ((~v90(constB99, bitIndex2)) <=> v90(constB98, bitIndex2)) | ((~v90(constB99, bitIndex0)) <=> v90(constB98, bitIndex0))) | (~((~v90(constB99, bitIndex0)) <=> v90(constB98, bitIndex0)))),
% 7.60/5.60 inference(tautology,[status(thm)],[])).
% 7.60/5.60 tff(12851,plain,
% 7.60/5.60 (~((~v90(constB99, bitIndex0)) <=> v90(constB98, bitIndex0))),
% 7.60/5.60 inference(unit_resolution,[status(thm)],[12850, 10907])).
% 7.60/5.60 tff(12852,plain,
% 7.60/5.60 ((((~v129(constB98, bitIndex2)) <=> v127(constB97, bitIndex2)) | ((~v129(constB98, bitIndex1)) <=> v127(constB97, bitIndex1)) | ((~v129(constB98, bitIndex0)) <=> v127(constB97, bitIndex0))) | (~((~v129(constB98, bitIndex0)) <=> v127(constB97, bitIndex0)))),
% 7.60/5.60 inference(tautology,[status(thm)],[])).
% 7.60/5.60 tff(12853,plain,
% 7.60/5.60 (~((~v129(constB98, bitIndex0)) <=> v127(constB97, bitIndex0))),
% 7.60/5.60 inference(unit_resolution,[status(thm)],[12852, 10916])).
% 7.60/5.60 tff(12854,plain,
% 7.60/5.60 ((((~v127(constB97, bitIndex2)) <=> v130(constB97, bitIndex2)) | ((~v127(constB97, bitIndex1)) <=> v130(constB97, bitIndex1)) | ((~v127(constB97, bitIndex0)) <=> v130(constB97, bitIndex0))) | (~((~v127(constB97, bitIndex0)) <=> v130(constB97, bitIndex0)))),
% 7.60/5.60 inference(tautology,[status(thm)],[])).
% 7.60/5.60 tff(12855,plain,
% 7.60/5.60 (~((~v127(constB97, bitIndex0)) <=> v130(constB97, bitIndex0))),
% 7.60/5.60 inference(unit_resolution,[status(thm)],[12854, 10930])).
% 7.60/5.60 tff(12856,plain,
% 7.60/5.60 ((v130(constB97, bitIndex2) | v130(constB97, bitIndex0) | (~v130(constB97, bitIndex1))) | (~v130(constB97, bitIndex0))),
% 7.60/5.60 inference(tautology,[status(thm)],[])).
% 7.60/5.60 tff(12857,plain,
% 7.60/5.60 (~v130(constB97, bitIndex0)),
% 7.60/5.60 inference(unit_resolution,[status(thm)],[12856, 12733])).
% 7.60/5.61 tff(12858,plain,
% 7.60/5.61 (((~v127(constB97, bitIndex0)) <=> v130(constB97, bitIndex0)) | (~v127(constB97, bitIndex0)) | v130(constB97, bitIndex0)),
% 7.60/5.61 inference(tautology,[status(thm)],[])).
% 7.60/5.61 tff(12859,plain,
% 7.60/5.61 (~v127(constB97, bitIndex0)),
% 7.60/5.61 inference(unit_resolution,[status(thm)],[12858, 12857, 12855])).
% 7.60/5.61 tff(12860,plain,
% 7.60/5.61 (((~v129(constB98, bitIndex0)) <=> v127(constB97, bitIndex0)) | (~v129(constB98, bitIndex0)) | v127(constB97, bitIndex0)),
% 7.60/5.61 inference(tautology,[status(thm)],[])).
% 7.60/5.61 tff(12861,plain,
% 7.60/5.61 (~v129(constB98, bitIndex0)),
% 7.60/5.61 inference(unit_resolution,[status(thm)],[12860, 12859, 12853])).
% 7.60/5.61 tff(12862,plain,
% 7.60/5.61 ((((~v90(constB98, bitIndex0)) <=> v129(constB98, bitIndex0)) | ((~v90(constB98, bitIndex2)) <=> v129(constB98, bitIndex2)) | ((~v90(constB98, bitIndex1)) <=> v129(constB98, bitIndex1))) | (~((~v90(constB98, bitIndex0)) <=> v129(constB98, bitIndex0)))),
% 7.60/5.61 inference(tautology,[status(thm)],[])).
% 7.60/5.61 tff(12863,plain,
% 7.60/5.61 (~((~v90(constB98, bitIndex0)) <=> v129(constB98, bitIndex0))),
% 7.60/5.61 inference(unit_resolution,[status(thm)],[12862, 12843])).
% 7.60/5.61 tff(12864,plain,
% 7.60/5.61 (((~v90(constB98, bitIndex0)) <=> v129(constB98, bitIndex0)) | (~v90(constB98, bitIndex0)) | v129(constB98, bitIndex0)),
% 7.60/5.61 inference(tautology,[status(thm)],[])).
% 7.60/5.61 tff(12865,plain,
% 7.60/5.61 (~v90(constB98, bitIndex0)),
% 7.60/5.61 inference(unit_resolution,[status(thm)],[12864, 12863, 12861])).
% 7.60/5.61 tff(12866,plain,
% 7.60/5.61 (((~v90(constB99, bitIndex0)) <=> v90(constB98, bitIndex0)) | (~v90(constB99, bitIndex0)) | v90(constB98, bitIndex0)),
% 7.60/5.61 inference(tautology,[status(thm)],[])).
% 7.60/5.61 tff(12867,plain,
% 7.60/5.61 (~v90(constB99, bitIndex0)),
% 7.60/5.61 inference(unit_resolution,[status(thm)],[12866, 12865, 12851])).
% 7.60/5.61 tff(12868,plain,
% 7.60/5.61 ((((~v90(constB99, bitIndex1)) <=> v90(constB98, bitIndex1)) | ((~v90(constB99, bitIndex2)) <=> v90(constB98, bitIndex2)) | ((~v90(constB99, bitIndex0)) <=> v90(constB98, bitIndex0))) | (~((~v90(constB99, bitIndex1)) <=> v90(constB98, bitIndex1)))),
% 7.60/5.61 inference(tautology,[status(thm)],[])).
% 7.60/5.61 tff(12869,plain,
% 7.60/5.61 (~((~v90(constB99, bitIndex1)) <=> v90(constB98, bitIndex1))),
% 7.60/5.61 inference(unit_resolution,[status(thm)],[12868, 10907])).
% 7.60/5.61 tff(12870,plain,
% 7.60/5.61 ((((~v129(constB98, bitIndex2)) <=> v127(constB97, bitIndex2)) | ((~v129(constB98, bitIndex1)) <=> v127(constB97, bitIndex1)) | ((~v129(constB98, bitIndex0)) <=> v127(constB97, bitIndex0))) | (~((~v129(constB98, bitIndex1)) <=> v127(constB97, bitIndex1)))),
% 7.60/5.61 inference(tautology,[status(thm)],[])).
% 7.60/5.61 tff(12871,plain,
% 7.60/5.61 (~((~v129(constB98, bitIndex1)) <=> v127(constB97, bitIndex1))),
% 7.60/5.61 inference(unit_resolution,[status(thm)],[12870, 10916])).
% 7.60/5.61 tff(12872,plain,
% 7.60/5.61 ((((~v127(constB97, bitIndex2)) <=> v130(constB97, bitIndex2)) | ((~v127(constB97, bitIndex1)) <=> v130(constB97, bitIndex1)) | ((~v127(constB97, bitIndex0)) <=> v130(constB97, bitIndex0))) | (~((~v127(constB97, bitIndex1)) <=> v130(constB97, bitIndex1)))),
% 7.60/5.61 inference(tautology,[status(thm)],[])).
% 7.60/5.61 tff(12873,plain,
% 7.60/5.61 (~((~v127(constB97, bitIndex1)) <=> v130(constB97, bitIndex1))),
% 7.60/5.61 inference(unit_resolution,[status(thm)],[12872, 10930])).
% 7.60/5.61 tff(12874,plain,
% 7.60/5.61 ((v130(constB97, bitIndex2) | v130(constB97, bitIndex0) | (~v130(constB97, bitIndex1))) | v130(constB97, bitIndex1)),
% 7.60/5.61 inference(tautology,[status(thm)],[])).
% 7.60/5.61 tff(12875,plain,
% 7.60/5.61 (v130(constB97, bitIndex1)),
% 7.60/5.61 inference(unit_resolution,[status(thm)],[12874, 12733])).
% 7.60/5.61 tff(12876,plain,
% 7.60/5.61 (((~v127(constB97, bitIndex1)) <=> v130(constB97, bitIndex1)) | v127(constB97, bitIndex1) | (~v130(constB97, bitIndex1))),
% 7.60/5.61 inference(tautology,[status(thm)],[])).
% 7.60/5.61 tff(12877,plain,
% 7.60/5.61 (v127(constB97, bitIndex1)),
% 7.60/5.61 inference(unit_resolution,[status(thm)],[12876, 12875, 12873])).
% 7.60/5.61 tff(12878,plain,
% 7.60/5.61 (((~v129(constB98, bitIndex1)) <=> v127(constB97, bitIndex1)) | v129(constB98, bitIndex1) | (~v127(constB97, bitIndex1))),
% 7.60/5.61 inference(tautology,[status(thm)],[])).
% 7.60/5.61 tff(12879,plain,
% 7.60/5.61 (v129(constB98, bitIndex1)),
% 7.60/5.61 inference(unit_resolution,[status(thm)],[12878, 12877, 12871])).
% 7.60/5.61 tff(12880,plain,
% 7.60/5.61 ((((~v90(constB98, bitIndex0)) <=> v129(constB98, bitIndex0)) | ((~v90(constB98, bitIndex2)) <=> v129(constB98, bitIndex2)) | ((~v90(constB98, bitIndex1)) <=> v129(constB98, bitIndex1))) | (~((~v90(constB98, bitIndex1)) <=> v129(constB98, bitIndex1)))),
% 7.60/5.61 inference(tautology,[status(thm)],[])).
% 7.60/5.61 tff(12881,plain,
% 7.60/5.61 (~((~v90(constB98, bitIndex1)) <=> v129(constB98, bitIndex1))),
% 7.60/5.61 inference(unit_resolution,[status(thm)],[12880, 12843])).
% 7.60/5.61 tff(12882,plain,
% 7.60/5.61 (((~v90(constB98, bitIndex1)) <=> v129(constB98, bitIndex1)) | v90(constB98, bitIndex1) | (~v129(constB98, bitIndex1))),
% 7.60/5.61 inference(tautology,[status(thm)],[])).
% 7.60/5.61 tff(12883,plain,
% 7.60/5.61 (v90(constB98, bitIndex1)),
% 7.60/5.61 inference(unit_resolution,[status(thm)],[12882, 12881, 12879])).
% 7.60/5.61 tff(12884,plain,
% 7.60/5.61 (((~v90(constB99, bitIndex1)) <=> v90(constB98, bitIndex1)) | v90(constB99, bitIndex1) | (~v90(constB98, bitIndex1))),
% 7.60/5.61 inference(tautology,[status(thm)],[])).
% 7.60/5.61 tff(12885,plain,
% 7.60/5.61 (v90(constB99, bitIndex1)),
% 7.60/5.61 inference(unit_resolution,[status(thm)],[12884, 12883, 12869])).
% 7.60/5.61 tff(12886,plain,
% 7.60/5.61 ((~(v90(constB99, bitIndex2) | v90(constB99, bitIndex0) | (~v90(constB99, bitIndex1)))) | v90(constB99, bitIndex2) | v90(constB99, bitIndex0) | (~v90(constB99, bitIndex1))),
% 7.60/5.61 inference(tautology,[status(thm)],[])).
% 7.60/5.61 tff(12887,plain,
% 7.60/5.61 (~(v90(constB99, bitIndex2) | v90(constB99, bitIndex0) | (~v90(constB99, bitIndex1)))),
% 7.60/5.61 inference(unit_resolution,[status(thm)],[12886, 12885, 12867, 12849])).
% 7.60/5.61 tff(12888,plain,
% 7.60/5.61 ((~(v121(constB99) <=> (~(v90(constB99, bitIndex2) | v90(constB99, bitIndex0) | (~v90(constB99, bitIndex1)))))) | v121(constB99) | (v90(constB99, bitIndex2) | v90(constB99, bitIndex0) | (~v90(constB99, bitIndex1)))),
% 7.60/5.61 inference(tautology,[status(thm)],[])).
% 7.60/5.61 tff(12889,plain,
% 7.60/5.61 (v121(constB99)),
% 7.60/5.61 inference(unit_resolution,[status(thm)],[12888, 12887, 10873])).
% 7.60/5.61 tff(12890,plain,
% 7.60/5.61 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB99)) | (~(v130(constB99, bitIndex2) | (~v130(constB99, bitIndex1)) | (~v130(constB99, bitIndex0)))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | (~v121(constB99)) | (~(v130(constB99, bitIndex2) | (~v130(constB99, bitIndex1)) | (~v130(constB99, bitIndex0)))))),
% 7.60/5.61 inference(rewrite,[status(thm)],[])).
% 7.60/5.61 tff(12891,plain,
% 7.60/5.61 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB99)) | (~(v130(constB99, bitIndex2) | (~v130(constB99, bitIndex1)) | (~v130(constB99, bitIndex0)))))),
% 7.60/5.61 inference(quant_inst,[status(thm)],[])).
% 7.60/5.61 tff(12892,plain,
% 7.60/5.61 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | (~v121(constB99)) | (~(v130(constB99, bitIndex2) | (~v130(constB99, bitIndex1)) | (~v130(constB99, bitIndex0))))),
% 7.60/5.61 inference(modus_ponens,[status(thm)],[12891, 12890])).
% 7.60/5.61 tff(12893,plain,
% 7.60/5.61 ((~v121(constB99)) | (~(v130(constB99, bitIndex2) | (~v130(constB99, bitIndex1)) | (~v130(constB99, bitIndex0))))),
% 7.60/5.61 inference(unit_resolution,[status(thm)],[12892, 4055])).
% 7.60/5.61 tff(12894,plain,
% 7.60/5.61 (~(v130(constB99, bitIndex2) | (~v130(constB99, bitIndex1)) | (~v130(constB99, bitIndex0)))),
% 7.60/5.61 inference(unit_resolution,[status(thm)],[12893, 12889])).
% 7.60/5.61 tff(12895,plain,
% 7.60/5.61 ((v130(constB99, bitIndex2) | (~v130(constB99, bitIndex1)) | (~v130(constB99, bitIndex0))) | (~v130(constB99, bitIndex2))),
% 7.60/5.61 inference(tautology,[status(thm)],[])).
% 7.60/5.61 tff(12896,plain,
% 7.60/5.61 (~v130(constB99, bitIndex2)),
% 7.60/5.61 inference(unit_resolution,[status(thm)],[12895, 12894])).
% 7.60/5.61 tff(12897,plain,
% 7.60/5.61 (((~v127(constB99, bitIndex2)) <=> v130(constB99, bitIndex2)) | (~v127(constB99, bitIndex2)) | v130(constB99, bitIndex2)),
% 7.60/5.61 inference(tautology,[status(thm)],[])).
% 7.60/5.61 tff(12898,plain,
% 7.60/5.61 (~v127(constB99, bitIndex2)),
% 7.60/5.61 inference(unit_resolution,[status(thm)],[12897, 12896, 10866])).
% 7.60/5.61 tff(12899,plain,
% 7.60/5.61 (((~v129(constB100, bitIndex2)) <=> v127(constB99, bitIndex2)) | (~v129(constB100, bitIndex2)) | v127(constB99, bitIndex2)),
% 7.60/5.61 inference(tautology,[status(thm)],[])).
% 7.60/5.61 tff(12900,plain,
% 7.60/5.61 (~v129(constB100, bitIndex2)),
% 7.60/5.61 inference(unit_resolution,[status(thm)],[12899, 12898, 10852])).
% 7.60/5.61 tff(12901,plain,
% 7.60/5.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB99, constB100)) | (v100(constB100) <=> (~((~v101(constB100)) | (~v110(constB100))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB99, constB100)) | (v100(constB100) <=> (~((~v101(constB100)) | (~v110(constB100))))))),
% 7.60/5.61 inference(rewrite,[status(thm)],[])).
% 7.60/5.61 tff(12902,plain,
% 7.60/5.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB99, constB100)) | (v100(constB100) <=> (~((~v101(constB100)) | (~v110(constB100))))))),
% 7.60/5.61 inference(quant_inst,[status(thm)],[])).
% 7.60/5.61 tff(12903,plain,
% 7.60/5.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB99, constB100)) | (v100(constB100) <=> (~((~v101(constB100)) | (~v110(constB100)))))),
% 7.60/5.61 inference(modus_ponens,[status(thm)],[12902, 12901])).
% 7.60/5.61 tff(12904,plain,
% 7.60/5.61 (v100(constB100) <=> (~((~v101(constB100)) | (~v110(constB100))))),
% 7.60/5.61 inference(unit_resolution,[status(thm)],[12903, 10846, 445])).
% 7.60/5.61 tff(12905,plain,
% 7.60/5.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB99, constB100)) | (v101(constB100) <=> (~((~v1(constB100)) | (~v102(constB100))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB99, constB100)) | (v101(constB100) <=> (~((~v1(constB100)) | (~v102(constB100))))))),
% 7.60/5.61 inference(rewrite,[status(thm)],[])).
% 7.60/5.61 tff(12906,plain,
% 7.60/5.61 (((~nextState(constB99, constB100)) | (v101(constB100) <=> (~((~v102(constB100)) | (~v1(constB100)))))) <=> ((~nextState(constB99, constB100)) | (v101(constB100) <=> (~((~v1(constB100)) | (~v102(constB100))))))),
% 7.60/5.61 inference(rewrite,[status(thm)],[])).
% 7.60/5.61 tff(12907,plain,
% 7.60/5.61 (((~![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) <=> (~((~v1(constB100)) | (~v102(constB100)))))))),
% 7.60/5.61 inference(monotonicity,[status(thm)],[12906])).
% 7.60/5.61 tff(12908,plain,
% 7.60/5.61 (((~![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) <=> (~((~v1(constB100)) | (~v102(constB100))))))),
% 7.60/5.61 inference(transitivity,[status(thm)],[12907, 12905])).
% 7.60/5.61 tff(12909,plain,
% 7.60/5.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB99, constB100)) | (v101(constB100) <=> (~((~v102(constB100)) | (~v1(constB100))))))),
% 7.60/5.61 inference(quant_inst,[status(thm)],[])).
% 7.60/5.61 tff(12910,plain,
% 7.60/5.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB99, constB100)) | (v101(constB100) <=> (~((~v1(constB100)) | (~v102(constB100)))))),
% 7.60/5.61 inference(modus_ponens,[status(thm)],[12909, 12908])).
% 7.60/5.61 tff(12911,plain,
% 7.60/5.61 (v101(constB100) <=> (~((~v1(constB100)) | (~v102(constB100))))),
% 7.60/5.61 inference(unit_resolution,[status(thm)],[12910, 10846, 465])).
% 7.60/5.61 tff(12912,plain,
% 7.60/5.61 (((~![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)))),
% 7.60/5.61 inference(rewrite,[status(thm)],[])).
% 7.60/5.61 tff(12913,plain,
% 7.60/5.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB99, constB100)) | ((~v102(constB100)) <=> v104(constB100)))),
% 7.60/5.61 inference(quant_inst,[status(thm)],[])).
% 7.60/5.61 tff(12914,plain,
% 7.60/5.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB99, constB100)) | ((~v102(constB100)) <=> v104(constB100))),
% 7.60/5.61 inference(modus_ponens,[status(thm)],[12913, 12912])).
% 7.60/5.61 tff(12915,plain,
% 7.60/5.61 ((~v102(constB100)) <=> v104(constB100)),
% 7.60/5.61 inference(unit_resolution,[status(thm)],[12914, 10846, 3244])).
% 7.60/5.61 tff(12916,plain,
% 7.60/5.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB99, constB100)) | (v104(constB100) <=> v1(constB99)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB99, constB100)) | (v104(constB100) <=> v1(constB99)))),
% 7.60/5.61 inference(rewrite,[status(thm)],[])).
% 7.60/5.61 tff(12917,plain,
% 7.60/5.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB99, constB100)) | (v104(constB100) <=> v1(constB99)))),
% 7.60/5.61 inference(quant_inst,[status(thm)],[])).
% 7.60/5.61 tff(12918,plain,
% 7.60/5.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB99, constB100)) | (v104(constB100) <=> v1(constB99))),
% 7.60/5.61 inference(modus_ponens,[status(thm)],[12917, 12916])).
% 7.60/5.61 tff(12919,plain,
% 7.60/5.61 (v104(constB100) <=> v1(constB99)),
% 7.60/5.61 inference(unit_resolution,[status(thm)],[12918, 10846, 3258])).
% 7.60/5.61 tff(12920,plain,
% 7.60/5.61 ((~(v104(constB100) <=> v1(constB99))) | (~v104(constB100)) | v1(constB99)),
% 7.60/5.61 inference(tautology,[status(thm)],[])).
% 7.60/5.61 tff(12921,plain,
% 7.60/5.61 ((~(v104(constB100) <=> v1(constB99))) | (~v104(constB100))),
% 7.60/5.61 inference(unit_resolution,[status(thm)],[12920, 10890])).
% 7.60/5.61 tff(12922,plain,
% 7.60/5.61 (~v104(constB100)),
% 7.60/5.61 inference(unit_resolution,[status(thm)],[12921, 12919])).
% 7.60/5.61 tff(12923,plain,
% 7.60/5.61 ((~((~v102(constB100)) <=> v104(constB100))) | v102(constB100) | v104(constB100)),
% 7.60/5.61 inference(tautology,[status(thm)],[])).
% 7.60/5.61 tff(12924,plain,
% 7.60/5.61 (v102(constB100)),
% 7.60/5.61 inference(unit_resolution,[status(thm)],[12923, 12922, 12915])).
% 7.60/5.61 tff(12925,plain,
% 7.60/5.61 (v1(constB100) <=> v1(constB100)),
% 7.60/5.61 inference(rewrite,[status(thm)],[])).
% 7.60/5.61 tff(12926,axiom,(v1(constB100)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_100')).
% 7.60/5.61 tff(12927,plain,
% 7.60/5.61 (v1(constB100)),
% 7.60/5.61 inference(modus_ponens,[status(thm)],[12926, 12925])).
% 7.60/5.61 tff(12928,plain,
% 7.60/5.61 ((~((~v1(constB100)) | (~v102(constB100)))) | (~v1(constB100)) | (~v102(constB100))),
% 7.60/5.61 inference(tautology,[status(thm)],[])).
% 7.60/5.61 tff(12929,plain,
% 7.60/5.61 ((~((~v1(constB100)) | (~v102(constB100)))) | (~v102(constB100))),
% 7.60/5.61 inference(unit_resolution,[status(thm)],[12928, 12927])).
% 7.60/5.61 tff(12930,plain,
% 7.60/5.61 (~((~v1(constB100)) | (~v102(constB100)))),
% 7.60/5.61 inference(unit_resolution,[status(thm)],[12929, 12924])).
% 7.60/5.61 tff(12931,plain,
% 7.60/5.61 ((~(v101(constB100) <=> (~((~v1(constB100)) | (~v102(constB100)))))) | v101(constB100) | ((~v1(constB100)) | (~v102(constB100)))),
% 7.60/5.61 inference(tautology,[status(thm)],[])).
% 7.60/5.61 tff(12932,plain,
% 7.60/5.61 (v101(constB100)),
% 7.60/5.61 inference(unit_resolution,[status(thm)],[12931, 12930, 12911])).
% 7.60/5.61 tff(12933,plain,
% 7.60/5.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB99, constB100)) | (v110(constB100) <=> v108(constB99)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB99, constB100)) | (v110(constB100) <=> v108(constB99)))),
% 7.60/5.61 inference(rewrite,[status(thm)],[])).
% 7.60/5.61 tff(12934,plain,
% 7.60/5.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB99, constB100)) | (v110(constB100) <=> v108(constB99)))),
% 7.60/5.61 inference(quant_inst,[status(thm)],[])).
% 7.60/5.61 tff(12935,plain,
% 7.60/5.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB99, constB100)) | (v110(constB100) <=> v108(constB99))),
% 7.60/5.61 inference(modus_ponens,[status(thm)],[12934, 12933])).
% 7.60/5.61 tff(12936,plain,
% 7.60/5.61 (v110(constB100) <=> v108(constB99)),
% 7.60/5.61 inference(unit_resolution,[status(thm)],[12935, 10846, 3285])).
% 7.60/5.61 tff(12937,plain,
% 7.60/5.61 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB99) <=> (v111(constB99) | v112(constB99)))),
% 7.60/5.61 inference(quant_inst,[status(thm)],[])).
% 7.60/5.61 tff(12938,plain,
% 7.60/5.61 (v108(constB99) <=> (v111(constB99) | v112(constB99))),
% 7.60/5.61 inference(unit_resolution,[status(thm)],[12937, 3296])).
% 7.60/5.61 tff(12939,plain,
% 7.60/5.61 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB99) <=> (~((~v113(constB99)) | (~v126(constB99)))))),
% 7.60/5.61 inference(quant_inst,[status(thm)],[])).
% 7.60/5.61 tff(12940,plain,
% 7.60/5.61 (v112(constB99) <=> (~((~v113(constB99)) | (~v126(constB99))))),
% 7.60/5.61 inference(unit_resolution,[status(thm)],[12939, 3308])).
% 7.60/5.61 tff(12941,plain,
% 7.60/5.61 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB99) <=> (v114(constB99) | v125(constB99)))),
% 7.60/5.61 inference(quant_inst,[status(thm)],[])).
% 7.60/5.61 tff(12942,plain,
% 7.60/5.61 (v113(constB99) <=> (v114(constB99) | v125(constB99))),
% 7.60/5.61 inference(unit_resolution,[status(thm)],[12941, 3317])).
% 7.60/5.61 tff(12943,plain,
% 7.60/5.61 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB99) <=> (v115(constB99) | v124(constB99)))),
% 7.60/5.61 inference(quant_inst,[status(thm)],[])).
% 7.60/5.61 tff(12944,plain,
% 7.60/5.61 (v114(constB99) <=> (v115(constB99) | v124(constB99))),
% 7.60/5.61 inference(unit_resolution,[status(thm)],[12943, 3326])).
% 7.60/5.61 tff(12945,plain,
% 7.60/5.61 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB99) <=> (v116(constB99) | v123(constB99)))),
% 7.60/5.61 inference(quant_inst,[status(thm)],[])).
% 7.60/5.61 tff(12946,plain,
% 7.60/5.61 (v115(constB99) <=> (v116(constB99) | v123(constB99))),
% 7.60/5.61 inference(unit_resolution,[status(thm)],[12945, 3335])).
% 7.60/5.61 tff(12947,plain,
% 7.60/5.61 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB99) <=> (v117(constB99) | v122(constB99)))),
% 7.60/5.61 inference(quant_inst,[status(thm)],[])).
% 7.60/5.61 tff(12948,plain,
% 7.60/5.61 (v116(constB99) <=> (v117(constB99) | v122(constB99))),
% 7.60/5.61 inference(unit_resolution,[status(thm)],[12947, 3344])).
% 7.60/5.61 tff(12949,plain,
% 7.60/5.61 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB99) <=> (v118(constB99) | v121(constB99)))),
% 7.60/5.61 inference(quant_inst,[status(thm)],[])).
% 7.60/5.61 tff(12950,plain,
% 7.60/5.61 (v117(constB99) <=> (v118(constB99) | v121(constB99))),
% 7.60/5.61 inference(unit_resolution,[status(thm)],[12949, 3353])).
% 7.60/5.61 tff(12951,plain,
% 7.60/5.61 ((v118(constB99) | v121(constB99)) | (~v121(constB99))),
% 7.60/5.61 inference(tautology,[status(thm)],[])).
% 7.60/5.61 tff(12952,plain,
% 7.60/5.61 (v118(constB99) | v121(constB99)),
% 7.60/5.61 inference(unit_resolution,[status(thm)],[12951, 12889])).
% 7.60/5.61 tff(12953,plain,
% 7.60/5.61 ((~(v117(constB99) <=> (v118(constB99) | v121(constB99)))) | v117(constB99) | (~(v118(constB99) | v121(constB99)))),
% 7.60/5.61 inference(tautology,[status(thm)],[])).
% 7.60/5.61 tff(12954,plain,
% 7.60/5.61 (v117(constB99)),
% 7.60/5.61 inference(unit_resolution,[status(thm)],[12953, 12952, 12950])).
% 7.60/5.61 tff(12955,plain,
% 7.60/5.61 ((v117(constB99) | v122(constB99)) | (~v117(constB99))),
% 7.60/5.61 inference(tautology,[status(thm)],[])).
% 7.60/5.61 tff(12956,plain,
% 7.60/5.61 (v117(constB99) | v122(constB99)),
% 7.60/5.61 inference(unit_resolution,[status(thm)],[12955, 12954])).
% 7.60/5.61 tff(12957,plain,
% 7.60/5.61 ((~(v116(constB99) <=> (v117(constB99) | v122(constB99)))) | v116(constB99) | (~(v117(constB99) | v122(constB99)))),
% 7.60/5.61 inference(tautology,[status(thm)],[])).
% 7.60/5.61 tff(12958,plain,
% 7.60/5.61 (v116(constB99)),
% 7.60/5.61 inference(unit_resolution,[status(thm)],[12957, 12956, 12948])).
% 7.60/5.61 tff(12959,plain,
% 7.60/5.61 ((v116(constB99) | v123(constB99)) | (~v116(constB99))),
% 7.60/5.61 inference(tautology,[status(thm)],[])).
% 7.60/5.61 tff(12960,plain,
% 7.60/5.61 (v116(constB99) | v123(constB99)),
% 7.60/5.61 inference(unit_resolution,[status(thm)],[12959, 12958])).
% 7.60/5.61 tff(12961,plain,
% 7.60/5.61 ((~(v115(constB99) <=> (v116(constB99) | v123(constB99)))) | v115(constB99) | (~(v116(constB99) | v123(constB99)))),
% 7.60/5.61 inference(tautology,[status(thm)],[])).
% 7.60/5.61 tff(12962,plain,
% 7.60/5.61 (v115(constB99)),
% 7.60/5.61 inference(unit_resolution,[status(thm)],[12961, 12960, 12946])).
% 7.60/5.61 tff(12963,plain,
% 7.60/5.61 ((v115(constB99) | v124(constB99)) | (~v115(constB99))),
% 7.60/5.61 inference(tautology,[status(thm)],[])).
% 7.60/5.61 tff(12964,plain,
% 7.60/5.61 (v115(constB99) | v124(constB99)),
% 7.60/5.61 inference(unit_resolution,[status(thm)],[12963, 12962])).
% 7.60/5.61 tff(12965,plain,
% 7.60/5.61 ((~(v114(constB99) <=> (v115(constB99) | v124(constB99)))) | v114(constB99) | (~(v115(constB99) | v124(constB99)))),
% 7.60/5.61 inference(tautology,[status(thm)],[])).
% 7.60/5.61 tff(12966,plain,
% 7.60/5.61 (v114(constB99)),
% 7.60/5.61 inference(unit_resolution,[status(thm)],[12965, 12964, 12944])).
% 7.60/5.61 tff(12967,plain,
% 7.60/5.61 ((v114(constB99) | v125(constB99)) | (~v114(constB99))),
% 7.60/5.61 inference(tautology,[status(thm)],[])).
% 7.60/5.61 tff(12968,plain,
% 7.60/5.61 (v114(constB99) | v125(constB99)),
% 7.60/5.61 inference(unit_resolution,[status(thm)],[12967, 12966])).
% 7.60/5.61 tff(12969,plain,
% 7.60/5.61 ((~(v113(constB99) <=> (v114(constB99) | v125(constB99)))) | v113(constB99) | (~(v114(constB99) | v125(constB99)))),
% 7.60/5.61 inference(tautology,[status(thm)],[])).
% 7.60/5.61 tff(12970,plain,
% 7.60/5.61 (v113(constB99)),
% 7.60/5.61 inference(unit_resolution,[status(thm)],[12969, 12968, 12942])).
% 7.60/5.61 tff(12971,plain,
% 7.60/5.61 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB99)) <=> v111(constB99))),
% 7.60/5.61 inference(quant_inst,[status(thm)],[])).
% 7.60/5.61 tff(12972,plain,
% 7.60/5.61 ((~v126(constB99)) <=> v111(constB99)),
% 7.60/5.61 inference(unit_resolution,[status(thm)],[12971, 3396])).
% 7.60/5.61 tff(12973,plain,
% 7.60/5.61 ((~((~v126(constB99)) <=> v111(constB99))) | v126(constB99) | v111(constB99)),
% 7.60/5.61 inference(tautology,[status(thm)],[])).
% 7.60/5.61 tff(12974,plain,
% 7.60/5.61 ((~((~v126(constB99)) <=> v111(constB99))) | v126(constB99)),
% 7.60/5.61 inference(unit_resolution,[status(thm)],[12973, 10859])).
% 7.60/5.61 tff(12975,plain,
% 7.60/5.61 (v126(constB99)),
% 7.60/5.61 inference(unit_resolution,[status(thm)],[12974, 12972])).
% 7.60/5.61 tff(12976,plain,
% 7.60/5.61 ((~((~v113(constB99)) | (~v126(constB99)))) | (~v113(constB99)) | (~v126(constB99))),
% 7.60/5.61 inference(tautology,[status(thm)],[])).
% 7.60/5.61 tff(12977,plain,
% 7.60/5.61 ((~((~v113(constB99)) | (~v126(constB99)))) | (~v113(constB99))),
% 7.60/5.61 inference(unit_resolution,[status(thm)],[12976, 12975])).
% 7.60/5.61 tff(12978,plain,
% 7.60/5.61 (~((~v113(constB99)) | (~v126(constB99)))),
% 7.60/5.61 inference(unit_resolution,[status(thm)],[12977, 12970])).
% 7.60/5.61 tff(12979,plain,
% 7.60/5.61 ((~(v112(constB99) <=> (~((~v113(constB99)) | (~v126(constB99)))))) | v112(constB99) | ((~v113(constB99)) | (~v126(constB99)))),
% 7.60/5.61 inference(tautology,[status(thm)],[])).
% 7.60/5.61 tff(12980,plain,
% 7.60/5.61 (v112(constB99)),
% 7.60/5.61 inference(unit_resolution,[status(thm)],[12979, 12978, 12940])).
% 7.60/5.61 tff(12981,plain,
% 7.60/5.61 ((v111(constB99) | v112(constB99)) | (~v112(constB99))),
% 7.60/5.61 inference(tautology,[status(thm)],[])).
% 7.60/5.61 tff(12982,plain,
% 7.60/5.61 (v111(constB99) | v112(constB99)),
% 7.60/5.61 inference(unit_resolution,[status(thm)],[12981, 12980])).
% 7.60/5.61 tff(12983,plain,
% 7.60/5.61 ((~(v108(constB99) <=> (v111(constB99) | v112(constB99)))) | v108(constB99) | (~(v111(constB99) | v112(constB99)))),
% 7.60/5.61 inference(tautology,[status(thm)],[])).
% 7.60/5.61 tff(12984,plain,
% 7.60/5.61 (v108(constB99)),
% 7.60/5.61 inference(unit_resolution,[status(thm)],[12983, 12982, 12938])).
% 7.60/5.61 tff(12985,plain,
% 7.60/5.61 ((~(v110(constB100) <=> v108(constB99))) | v110(constB100) | (~v108(constB99))),
% 7.60/5.61 inference(tautology,[status(thm)],[])).
% 7.60/5.61 tff(12986,plain,
% 7.60/5.61 (v110(constB100)),
% 7.60/5.61 inference(unit_resolution,[status(thm)],[12985, 12984, 12936])).
% 7.60/5.61 tff(12987,plain,
% 7.60/5.61 ((~((~v101(constB100)) | (~v110(constB100)))) | (~v101(constB100)) | (~v110(constB100))),
% 7.60/5.61 inference(tautology,[status(thm)],[])).
% 7.60/5.61 tff(12988,plain,
% 7.60/5.61 (~((~v101(constB100)) | (~v110(constB100)))),
% 7.60/5.61 inference(unit_resolution,[status(thm)],[12987, 12986, 12932])).
% 7.60/5.61 tff(12989,plain,
% 7.60/5.61 ((~(v100(constB100) <=> (~((~v101(constB100)) | (~v110(constB100)))))) | v100(constB100) | ((~v101(constB100)) | (~v110(constB100)))),
% 7.60/5.61 inference(tautology,[status(thm)],[])).
% 7.60/5.61 tff(12990,plain,
% 7.60/5.61 (v100(constB100)),
% 7.60/5.61 inference(unit_resolution,[status(thm)],[12989, 12988, 12904])).
% 7.60/5.61 tff(12991,plain,
% 7.60/5.61 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB100)) | (~(((~v90(constB100, bitIndex2)) <=> v129(constB100, bitIndex2)) | ((~v90(constB100, bitIndex1)) <=> v129(constB100, bitIndex1)) | ((~v90(constB100, bitIndex0)) <=> v129(constB100, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB100)) | (~(((~v90(constB100, bitIndex2)) <=> v129(constB100, bitIndex2)) | ((~v90(constB100, bitIndex1)) <=> v129(constB100, bitIndex1)) | ((~v90(constB100, bitIndex0)) <=> v129(constB100, bitIndex0)))))),
% 7.60/5.61 inference(rewrite,[status(thm)],[])).
% 7.60/5.61 tff(12992,plain,
% 7.60/5.61 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB100)) | (~(((~v90(constB100, bitIndex2)) <=> v129(constB100, bitIndex2)) | ((~v90(constB100, bitIndex1)) <=> v129(constB100, bitIndex1)) | ((~v90(constB100, bitIndex0)) <=> v129(constB100, bitIndex0)))))),
% 7.60/5.61 inference(quant_inst,[status(thm)],[])).
% 7.60/5.61 tff(12993,plain,
% 7.60/5.61 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB100)) | (~(((~v90(constB100, bitIndex2)) <=> v129(constB100, bitIndex2)) | ((~v90(constB100, bitIndex1)) <=> v129(constB100, bitIndex1)) | ((~v90(constB100, bitIndex0)) <=> v129(constB100, bitIndex0))))),
% 7.60/5.61 inference(modus_ponens,[status(thm)],[12992, 12991])).
% 7.60/5.61 tff(12994,plain,
% 7.60/5.61 ((~v100(constB100)) | (~(((~v90(constB100, bitIndex2)) <=> v129(constB100, bitIndex2)) | ((~v90(constB100, bitIndex1)) <=> v129(constB100, bitIndex1)) | ((~v90(constB100, bitIndex0)) <=> v129(constB100, bitIndex0))))),
% 7.60/5.61 inference(unit_resolution,[status(thm)],[12993, 3429])).
% 7.60/5.61 tff(12995,plain,
% 7.60/5.61 (~(((~v90(constB100, bitIndex2)) <=> v129(constB100, bitIndex2)) | ((~v90(constB100, bitIndex1)) <=> v129(constB100, bitIndex1)) | ((~v90(constB100, bitIndex0)) <=> v129(constB100, bitIndex0)))),
% 7.60/5.61 inference(unit_resolution,[status(thm)],[12994, 12990])).
% 7.60/5.61 tff(12996,plain,
% 7.60/5.61 ((((~v90(constB100, bitIndex2)) <=> v129(constB100, bitIndex2)) | ((~v90(constB100, bitIndex1)) <=> v129(constB100, bitIndex1)) | ((~v90(constB100, bitIndex0)) <=> v129(constB100, bitIndex0))) | (~((~v90(constB100, bitIndex2)) <=> v129(constB100, bitIndex2)))),
% 7.60/5.61 inference(tautology,[status(thm)],[])).
% 7.60/5.61 tff(12997,plain,
% 7.60/5.61 (~((~v90(constB100, bitIndex2)) <=> v129(constB100, bitIndex2))),
% 7.60/5.61 inference(unit_resolution,[status(thm)],[12996, 12995])).
% 7.60/5.61 tff(12998,plain,
% 7.60/5.61 (((~v90(constB100, bitIndex2)) <=> v129(constB100, bitIndex2)) | (~v90(constB100, bitIndex2)) | v129(constB100, bitIndex2)),
% 7.60/5.61 inference(tautology,[status(thm)],[])).
% 7.60/5.61 tff(12999,plain,
% 7.60/5.61 (~v90(constB100, bitIndex2)),
% 7.60/5.61 inference(unit_resolution,[status(thm)],[12998, 12997, 12900])).
% 7.60/5.61 tff(13000,plain,
% 7.60/5.61 (((~v90(constB101, bitIndex2)) <=> v90(constB100, bitIndex2)) | (~v90(constB101, bitIndex2)) | v90(constB100, bitIndex2)),
% 7.60/5.61 inference(tautology,[status(thm)],[])).
% 7.60/5.61 tff(13001,plain,
% 7.60/5.61 (~v90(constB101, bitIndex2)),
% 7.60/5.61 inference(unit_resolution,[status(thm)],[13000, 12999, 10843])).
% 7.60/5.61 tff(13002,plain,
% 7.60/5.61 ((((~v90(constB101, bitIndex1)) <=> v90(constB100, bitIndex1)) | ((~v90(constB101, bitIndex2)) <=> v90(constB100, bitIndex2)) | ((~v90(constB101, bitIndex0)) <=> v90(constB100, bitIndex0))) | (~((~v90(constB101, bitIndex0)) <=> v90(constB100, bitIndex0)))),
% 7.60/5.61 inference(tautology,[status(thm)],[])).
% 7.60/5.61 tff(13003,plain,
% 7.60/5.61 (~((~v90(constB101, bitIndex0)) <=> v90(constB100, bitIndex0))),
% 7.60/5.61 inference(unit_resolution,[status(thm)],[13002, 10841])).
% 7.60/5.61 tff(13004,plain,
% 7.60/5.61 ((((~v129(constB100, bitIndex2)) <=> v127(constB99, bitIndex2)) | ((~v129(constB100, bitIndex1)) <=> v127(constB99, bitIndex1)) | ((~v129(constB100, bitIndex0)) <=> v127(constB99, bitIndex0))) | (~((~v129(constB100, bitIndex0)) <=> v127(constB99, bitIndex0)))),
% 7.60/5.61 inference(tautology,[status(thm)],[])).
% 7.60/5.61 tff(13005,plain,
% 7.60/5.61 (~((~v129(constB100, bitIndex0)) <=> v127(constB99, bitIndex0))),
% 7.60/5.61 inference(unit_resolution,[status(thm)],[13004, 10850])).
% 7.60/5.61 tff(13006,plain,
% 7.60/5.61 ((((~v127(constB99, bitIndex2)) <=> v130(constB99, bitIndex2)) | ((~v127(constB99, bitIndex1)) <=> v130(constB99, bitIndex1)) | ((~v127(constB99, bitIndex0)) <=> v130(constB99, bitIndex0))) | (~((~v127(constB99, bitIndex0)) <=> v130(constB99, bitIndex0)))),
% 7.60/5.61 inference(tautology,[status(thm)],[])).
% 7.60/5.61 tff(13007,plain,
% 7.60/5.61 (~((~v127(constB99, bitIndex0)) <=> v130(constB99, bitIndex0))),
% 7.60/5.61 inference(unit_resolution,[status(thm)],[13006, 10864])).
% 7.60/5.61 tff(13008,plain,
% 7.60/5.61 ((v130(constB99, bitIndex2) | (~v130(constB99, bitIndex1)) | (~v130(constB99, bitIndex0))) | v130(constB99, bitIndex0)),
% 7.60/5.61 inference(tautology,[status(thm)],[])).
% 7.60/5.61 tff(13009,plain,
% 7.60/5.61 (v130(constB99, bitIndex0)),
% 7.60/5.61 inference(unit_resolution,[status(thm)],[13008, 12894])).
% 7.60/5.61 tff(13010,plain,
% 7.60/5.61 (((~v127(constB99, bitIndex0)) <=> v130(constB99, bitIndex0)) | v127(constB99, bitIndex0) | (~v130(constB99, bitIndex0))),
% 7.60/5.61 inference(tautology,[status(thm)],[])).
% 7.60/5.61 tff(13011,plain,
% 7.60/5.61 (v127(constB99, bitIndex0)),
% 7.60/5.61 inference(unit_resolution,[status(thm)],[13010, 13009, 13007])).
% 7.60/5.61 tff(13012,plain,
% 7.60/5.61 (((~v129(constB100, bitIndex0)) <=> v127(constB99, bitIndex0)) | v129(constB100, bitIndex0) | (~v127(constB99, bitIndex0))),
% 7.60/5.61 inference(tautology,[status(thm)],[])).
% 7.60/5.61 tff(13013,plain,
% 7.60/5.61 (v129(constB100, bitIndex0)),
% 7.60/5.61 inference(unit_resolution,[status(thm)],[13012, 13011, 13005])).
% 7.60/5.61 tff(13014,plain,
% 7.60/5.61 ((((~v90(constB100, bitIndex2)) <=> v129(constB100, bitIndex2)) | ((~v90(constB100, bitIndex1)) <=> v129(constB100, bitIndex1)) | ((~v90(constB100, bitIndex0)) <=> v129(constB100, bitIndex0))) | (~((~v90(constB100, bitIndex0)) <=> v129(constB100, bitIndex0)))),
% 7.60/5.61 inference(tautology,[status(thm)],[])).
% 7.60/5.61 tff(13015,plain,
% 7.60/5.61 (~((~v90(constB100, bitIndex0)) <=> v129(constB100, bitIndex0))),
% 7.60/5.61 inference(unit_resolution,[status(thm)],[13014, 12995])).
% 7.60/5.61 tff(13016,plain,
% 7.60/5.61 (((~v90(constB100, bitIndex0)) <=> v129(constB100, bitIndex0)) | v90(constB100, bitIndex0) | (~v129(constB100, bitIndex0))),
% 7.60/5.61 inference(tautology,[status(thm)],[])).
% 7.60/5.61 tff(13017,plain,
% 7.60/5.61 (v90(constB100, bitIndex0)),
% 7.60/5.61 inference(unit_resolution,[status(thm)],[13016, 13015, 13013])).
% 7.60/5.61 tff(13018,plain,
% 7.60/5.61 (((~v90(constB101, bitIndex0)) <=> v90(constB100, bitIndex0)) | v90(constB101, bitIndex0) | (~v90(constB100, bitIndex0))),
% 7.60/5.61 inference(tautology,[status(thm)],[])).
% 7.60/5.61 tff(13019,plain,
% 7.60/5.61 (v90(constB101, bitIndex0)),
% 7.60/5.61 inference(unit_resolution,[status(thm)],[13018, 13017, 13003])).
% 7.60/5.61 tff(13020,plain,
% 7.60/5.61 ((((~v90(constB101, bitIndex1)) <=> v90(constB100, bitIndex1)) | ((~v90(constB101, bitIndex2)) <=> v90(constB100, bitIndex2)) | ((~v90(constB101, bitIndex0)) <=> v90(constB100, bitIndex0))) | (~((~v90(constB101, bitIndex1)) <=> v90(constB100, bitIndex1)))),
% 7.60/5.61 inference(tautology,[status(thm)],[])).
% 7.60/5.61 tff(13021,plain,
% 7.60/5.61 (~((~v90(constB101, bitIndex1)) <=> v90(constB100, bitIndex1))),
% 7.60/5.61 inference(unit_resolution,[status(thm)],[13020, 10841])).
% 7.60/5.61 tff(13022,plain,
% 7.60/5.61 ((((~v129(constB100, bitIndex2)) <=> v127(constB99, bitIndex2)) | ((~v129(constB100, bitIndex1)) <=> v127(constB99, bitIndex1)) | ((~v129(constB100, bitIndex0)) <=> v127(constB99, bitIndex0))) | (~((~v129(constB100, bitIndex1)) <=> v127(constB99, bitIndex1)))),
% 7.60/5.62 inference(tautology,[status(thm)],[])).
% 7.60/5.62 tff(13023,plain,
% 7.60/5.62 (~((~v129(constB100, bitIndex1)) <=> v127(constB99, bitIndex1))),
% 7.60/5.62 inference(unit_resolution,[status(thm)],[13022, 10850])).
% 7.60/5.62 tff(13024,plain,
% 7.60/5.62 ((((~v127(constB99, bitIndex2)) <=> v130(constB99, bitIndex2)) | ((~v127(constB99, bitIndex1)) <=> v130(constB99, bitIndex1)) | ((~v127(constB99, bitIndex0)) <=> v130(constB99, bitIndex0))) | (~((~v127(constB99, bitIndex1)) <=> v130(constB99, bitIndex1)))),
% 7.60/5.62 inference(tautology,[status(thm)],[])).
% 7.60/5.62 tff(13025,plain,
% 7.60/5.62 (~((~v127(constB99, bitIndex1)) <=> v130(constB99, bitIndex1))),
% 7.60/5.62 inference(unit_resolution,[status(thm)],[13024, 10864])).
% 7.60/5.62 tff(13026,plain,
% 7.60/5.62 ((v130(constB99, bitIndex2) | (~v130(constB99, bitIndex1)) | (~v130(constB99, bitIndex0))) | v130(constB99, bitIndex1)),
% 7.60/5.62 inference(tautology,[status(thm)],[])).
% 7.60/5.62 tff(13027,plain,
% 7.60/5.62 (v130(constB99, bitIndex1)),
% 7.60/5.62 inference(unit_resolution,[status(thm)],[13026, 12894])).
% 7.60/5.62 tff(13028,plain,
% 7.60/5.62 (((~v127(constB99, bitIndex1)) <=> v130(constB99, bitIndex1)) | v127(constB99, bitIndex1) | (~v130(constB99, bitIndex1))),
% 7.60/5.62 inference(tautology,[status(thm)],[])).
% 7.60/5.62 tff(13029,plain,
% 7.60/5.62 (v127(constB99, bitIndex1)),
% 7.60/5.62 inference(unit_resolution,[status(thm)],[13028, 13027, 13025])).
% 7.60/5.62 tff(13030,plain,
% 7.60/5.62 (((~v129(constB100, bitIndex1)) <=> v127(constB99, bitIndex1)) | v129(constB100, bitIndex1) | (~v127(constB99, bitIndex1))),
% 7.60/5.62 inference(tautology,[status(thm)],[])).
% 7.60/5.62 tff(13031,plain,
% 7.60/5.62 (v129(constB100, bitIndex1)),
% 7.60/5.62 inference(unit_resolution,[status(thm)],[13030, 13029, 13023])).
% 7.60/5.62 tff(13032,plain,
% 7.60/5.62 ((((~v90(constB100, bitIndex2)) <=> v129(constB100, bitIndex2)) | ((~v90(constB100, bitIndex1)) <=> v129(constB100, bitIndex1)) | ((~v90(constB100, bitIndex0)) <=> v129(constB100, bitIndex0))) | (~((~v90(constB100, bitIndex1)) <=> v129(constB100, bitIndex1)))),
% 7.60/5.62 inference(tautology,[status(thm)],[])).
% 7.60/5.62 tff(13033,plain,
% 7.60/5.62 (~((~v90(constB100, bitIndex1)) <=> v129(constB100, bitIndex1))),
% 7.60/5.62 inference(unit_resolution,[status(thm)],[13032, 12995])).
% 7.60/5.62 tff(13034,plain,
% 7.60/5.62 (((~v90(constB100, bitIndex1)) <=> v129(constB100, bitIndex1)) | v90(constB100, bitIndex1) | (~v129(constB100, bitIndex1))),
% 7.60/5.62 inference(tautology,[status(thm)],[])).
% 7.60/5.62 tff(13035,plain,
% 7.60/5.62 (v90(constB100, bitIndex1)),
% 7.60/5.62 inference(unit_resolution,[status(thm)],[13034, 13033, 13031])).
% 7.60/5.62 tff(13036,plain,
% 7.60/5.62 (((~v90(constB101, bitIndex1)) <=> v90(constB100, bitIndex1)) | v90(constB101, bitIndex1) | (~v90(constB100, bitIndex1))),
% 7.60/5.62 inference(tautology,[status(thm)],[])).
% 7.60/5.62 tff(13037,plain,
% 7.60/5.62 (v90(constB101, bitIndex1)),
% 7.60/5.62 inference(unit_resolution,[status(thm)],[13036, 13035, 13021])).
% 7.60/5.62 tff(13038,plain,
% 7.60/5.62 ((~(v90(constB101, bitIndex2) | (~v90(constB101, bitIndex1)) | (~v90(constB101, bitIndex0)))) | v90(constB101, bitIndex2) | (~v90(constB101, bitIndex1)) | (~v90(constB101, bitIndex0))),
% 7.60/5.62 inference(tautology,[status(thm)],[])).
% 7.60/5.62 tff(13039,plain,
% 7.60/5.62 (~(v90(constB101, bitIndex2) | (~v90(constB101, bitIndex1)) | (~v90(constB101, bitIndex0)))),
% 7.60/5.62 inference(unit_resolution,[status(thm)],[13038, 13037, 13019, 13001])).
% 7.60/5.62 tff(13040,plain,
% 7.60/5.62 ((~(v122(constB101) <=> (~(v90(constB101, bitIndex2) | (~v90(constB101, bitIndex1)) | (~v90(constB101, bitIndex0)))))) | v122(constB101) | (v90(constB101, bitIndex2) | (~v90(constB101, bitIndex1)) | (~v90(constB101, bitIndex0)))),
% 7.60/5.62 inference(tautology,[status(thm)],[])).
% 7.60/5.62 tff(13041,plain,
% 7.60/5.62 (v122(constB101)),
% 7.60/5.62 inference(unit_resolution,[status(thm)],[13040, 13039, 10807])).
% 7.60/5.62 tff(13042,plain,
% 7.60/5.62 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB101)) | (~(v130(constB101, bitIndex1) | v130(constB101, bitIndex0) | (~v130(constB101, bitIndex2)))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | (~v122(constB101)) | (~(v130(constB101, bitIndex1) | v130(constB101, bitIndex0) | (~v130(constB101, bitIndex2)))))),
% 7.60/5.62 inference(rewrite,[status(thm)],[])).
% 7.60/5.62 tff(13043,plain,
% 7.60/5.62 (((~v122(constB101)) | (~(v130(constB101, bitIndex0) | v130(constB101, bitIndex1) | (~v130(constB101, bitIndex2))))) <=> ((~v122(constB101)) | (~(v130(constB101, bitIndex1) | v130(constB101, bitIndex0) | (~v130(constB101, bitIndex2)))))),
% 7.60/5.62 inference(rewrite,[status(thm)],[])).
% 7.60/5.62 tff(13044,plain,
% 7.60/5.62 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB101)) | (~(v130(constB101, bitIndex0) | v130(constB101, bitIndex1) | (~v130(constB101, bitIndex2)))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB101)) | (~(v130(constB101, bitIndex1) | v130(constB101, bitIndex0) | (~v130(constB101, bitIndex2))))))),
% 7.60/5.62 inference(monotonicity,[status(thm)],[13043])).
% 7.60/5.62 tff(13045,plain,
% 7.60/5.62 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB101)) | (~(v130(constB101, bitIndex0) | v130(constB101, bitIndex1) | (~v130(constB101, bitIndex2)))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | (~v122(constB101)) | (~(v130(constB101, bitIndex1) | v130(constB101, bitIndex0) | (~v130(constB101, bitIndex2)))))),
% 7.60/5.62 inference(transitivity,[status(thm)],[13044, 13042])).
% 7.60/5.62 tff(13046,plain,
% 7.60/5.62 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB101)) | (~(v130(constB101, bitIndex0) | v130(constB101, bitIndex1) | (~v130(constB101, bitIndex2)))))),
% 7.60/5.62 inference(quant_inst,[status(thm)],[])).
% 7.60/5.62 tff(13047,plain,
% 7.60/5.62 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | (~v122(constB101)) | (~(v130(constB101, bitIndex1) | v130(constB101, bitIndex0) | (~v130(constB101, bitIndex2))))),
% 7.60/5.62 inference(modus_ponens,[status(thm)],[13046, 13045])).
% 7.60/5.62 tff(13048,plain,
% 7.60/5.62 ((~v122(constB101)) | (~(v130(constB101, bitIndex1) | v130(constB101, bitIndex0) | (~v130(constB101, bitIndex2))))),
% 7.60/5.62 inference(unit_resolution,[status(thm)],[13047, 4223])).
% 7.60/5.62 tff(13049,plain,
% 7.60/5.62 (~(v130(constB101, bitIndex1) | v130(constB101, bitIndex0) | (~v130(constB101, bitIndex2)))),
% 7.60/5.62 inference(unit_resolution,[status(thm)],[13048, 13041])).
% 7.60/5.62 tff(13050,plain,
% 7.60/5.62 ((v130(constB101, bitIndex1) | v130(constB101, bitIndex0) | (~v130(constB101, bitIndex2))) | v130(constB101, bitIndex2)),
% 7.60/5.62 inference(tautology,[status(thm)],[])).
% 7.60/5.62 tff(13051,plain,
% 7.60/5.62 (v130(constB101, bitIndex2)),
% 7.60/5.62 inference(unit_resolution,[status(thm)],[13050, 13049])).
% 7.60/5.62 tff(13052,plain,
% 7.60/5.62 (((~v127(constB101, bitIndex2)) <=> v130(constB101, bitIndex2)) | v127(constB101, bitIndex2) | (~v130(constB101, bitIndex2))),
% 7.60/5.62 inference(tautology,[status(thm)],[])).
% 7.60/5.62 tff(13053,plain,
% 7.60/5.62 (v127(constB101, bitIndex2)),
% 7.60/5.62 inference(unit_resolution,[status(thm)],[13052, 13051, 10800])).
% 7.60/5.62 tff(13054,plain,
% 7.60/5.62 (((~v129(constB102, bitIndex2)) <=> v127(constB101, bitIndex2)) | v129(constB102, bitIndex2) | (~v127(constB101, bitIndex2))),
% 7.60/5.62 inference(tautology,[status(thm)],[])).
% 7.60/5.62 tff(13055,plain,
% 7.60/5.62 (v129(constB102, bitIndex2)),
% 7.60/5.62 inference(unit_resolution,[status(thm)],[13054, 13053, 10786])).
% 7.60/5.62 tff(13056,plain,
% 7.60/5.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB101, constB102)) | (v100(constB102) <=> (~((~v101(constB102)) | (~v110(constB102))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB101, constB102)) | (v100(constB102) <=> (~((~v101(constB102)) | (~v110(constB102))))))),
% 7.60/5.62 inference(rewrite,[status(thm)],[])).
% 7.60/5.62 tff(13057,plain,
% 7.60/5.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB101, constB102)) | (v100(constB102) <=> (~((~v101(constB102)) | (~v110(constB102))))))),
% 7.60/5.62 inference(quant_inst,[status(thm)],[])).
% 7.60/5.62 tff(13058,plain,
% 7.60/5.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB101, constB102)) | (v100(constB102) <=> (~((~v101(constB102)) | (~v110(constB102)))))),
% 7.60/5.62 inference(modus_ponens,[status(thm)],[13057, 13056])).
% 7.60/5.62 tff(13059,plain,
% 7.60/5.62 (v100(constB102) <=> (~((~v101(constB102)) | (~v110(constB102))))),
% 7.60/5.62 inference(unit_resolution,[status(thm)],[13058, 10780, 445])).
% 7.60/5.62 tff(13060,plain,
% 7.60/5.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB101, constB102)) | (v101(constB102) <=> (~((~v1(constB102)) | (~v102(constB102))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB101, constB102)) | (v101(constB102) <=> (~((~v1(constB102)) | (~v102(constB102))))))),
% 7.60/5.62 inference(rewrite,[status(thm)],[])).
% 7.60/5.62 tff(13061,plain,
% 7.60/5.62 (((~nextState(constB101, constB102)) | (v101(constB102) <=> (~((~v102(constB102)) | (~v1(constB102)))))) <=> ((~nextState(constB101, constB102)) | (v101(constB102) <=> (~((~v1(constB102)) | (~v102(constB102))))))),
% 7.60/5.62 inference(rewrite,[status(thm)],[])).
% 7.60/5.62 tff(13062,plain,
% 7.60/5.62 (((~![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) <=> (~((~v1(constB102)) | (~v102(constB102)))))))),
% 7.60/5.62 inference(monotonicity,[status(thm)],[13061])).
% 7.60/5.62 tff(13063,plain,
% 7.60/5.62 (((~![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) <=> (~((~v1(constB102)) | (~v102(constB102))))))),
% 7.60/5.62 inference(transitivity,[status(thm)],[13062, 13060])).
% 7.60/5.62 tff(13064,plain,
% 7.60/5.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB101, constB102)) | (v101(constB102) <=> (~((~v102(constB102)) | (~v1(constB102))))))),
% 7.60/5.62 inference(quant_inst,[status(thm)],[])).
% 7.60/5.62 tff(13065,plain,
% 7.60/5.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB101, constB102)) | (v101(constB102) <=> (~((~v1(constB102)) | (~v102(constB102)))))),
% 7.60/5.62 inference(modus_ponens,[status(thm)],[13064, 13063])).
% 7.60/5.62 tff(13066,plain,
% 7.60/5.62 (v101(constB102) <=> (~((~v1(constB102)) | (~v102(constB102))))),
% 7.60/5.62 inference(unit_resolution,[status(thm)],[13065, 10780, 465])).
% 7.60/5.62 tff(13067,plain,
% 7.60/5.62 (((~![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)))),
% 7.60/5.62 inference(rewrite,[status(thm)],[])).
% 7.60/5.62 tff(13068,plain,
% 7.60/5.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB101, constB102)) | ((~v102(constB102)) <=> v104(constB102)))),
% 7.60/5.62 inference(quant_inst,[status(thm)],[])).
% 7.60/5.62 tff(13069,plain,
% 7.60/5.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB101, constB102)) | ((~v102(constB102)) <=> v104(constB102))),
% 7.60/5.62 inference(modus_ponens,[status(thm)],[13068, 13067])).
% 7.60/5.62 tff(13070,plain,
% 7.60/5.62 ((~v102(constB102)) <=> v104(constB102)),
% 7.60/5.62 inference(unit_resolution,[status(thm)],[13069, 10780, 3244])).
% 7.60/5.62 tff(13071,plain,
% 7.60/5.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB101, constB102)) | (v104(constB102) <=> v1(constB101)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB101, constB102)) | (v104(constB102) <=> v1(constB101)))),
% 7.60/5.62 inference(rewrite,[status(thm)],[])).
% 7.60/5.62 tff(13072,plain,
% 7.60/5.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB101, constB102)) | (v104(constB102) <=> v1(constB101)))),
% 7.60/5.62 inference(quant_inst,[status(thm)],[])).
% 7.60/5.62 tff(13073,plain,
% 7.60/5.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB101, constB102)) | (v104(constB102) <=> v1(constB101))),
% 7.60/5.62 inference(modus_ponens,[status(thm)],[13072, 13071])).
% 7.60/5.62 tff(13074,plain,
% 7.60/5.62 (v104(constB102) <=> v1(constB101)),
% 7.60/5.62 inference(unit_resolution,[status(thm)],[13073, 10780, 3258])).
% 7.60/5.62 tff(13075,plain,
% 7.60/5.62 ((~(v104(constB102) <=> v1(constB101))) | (~v104(constB102)) | v1(constB101)),
% 7.60/5.62 inference(tautology,[status(thm)],[])).
% 7.60/5.62 tff(13076,plain,
% 7.60/5.62 ((~(v104(constB102) <=> v1(constB101))) | (~v104(constB102))),
% 7.60/5.62 inference(unit_resolution,[status(thm)],[13075, 10824])).
% 7.60/5.62 tff(13077,plain,
% 7.60/5.62 (~v104(constB102)),
% 7.60/5.62 inference(unit_resolution,[status(thm)],[13076, 13074])).
% 7.60/5.62 tff(13078,plain,
% 7.60/5.62 ((~((~v102(constB102)) <=> v104(constB102))) | v102(constB102) | v104(constB102)),
% 7.60/5.62 inference(tautology,[status(thm)],[])).
% 7.60/5.62 tff(13079,plain,
% 7.60/5.62 (v102(constB102)),
% 7.60/5.62 inference(unit_resolution,[status(thm)],[13078, 13077, 13070])).
% 7.60/5.62 tff(13080,plain,
% 7.60/5.62 (v1(constB102) <=> v1(constB102)),
% 7.60/5.62 inference(rewrite,[status(thm)],[])).
% 7.60/5.62 tff(13081,axiom,(v1(constB102)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_102')).
% 7.60/5.62 tff(13082,plain,
% 7.60/5.62 (v1(constB102)),
% 7.60/5.62 inference(modus_ponens,[status(thm)],[13081, 13080])).
% 7.60/5.62 tff(13083,plain,
% 7.60/5.62 ((~((~v1(constB102)) | (~v102(constB102)))) | (~v1(constB102)) | (~v102(constB102))),
% 7.60/5.62 inference(tautology,[status(thm)],[])).
% 7.60/5.62 tff(13084,plain,
% 7.60/5.62 ((~((~v1(constB102)) | (~v102(constB102)))) | (~v102(constB102))),
% 7.60/5.62 inference(unit_resolution,[status(thm)],[13083, 13082])).
% 7.60/5.62 tff(13085,plain,
% 7.60/5.62 (~((~v1(constB102)) | (~v102(constB102)))),
% 7.60/5.62 inference(unit_resolution,[status(thm)],[13084, 13079])).
% 7.60/5.62 tff(13086,plain,
% 7.60/5.62 ((~(v101(constB102) <=> (~((~v1(constB102)) | (~v102(constB102)))))) | v101(constB102) | ((~v1(constB102)) | (~v102(constB102)))),
% 7.60/5.62 inference(tautology,[status(thm)],[])).
% 7.60/5.62 tff(13087,plain,
% 7.60/5.62 (v101(constB102)),
% 7.60/5.62 inference(unit_resolution,[status(thm)],[13086, 13085, 13066])).
% 7.60/5.62 tff(13088,plain,
% 7.60/5.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB101, constB102)) | (v110(constB102) <=> v108(constB101)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB101, constB102)) | (v110(constB102) <=> v108(constB101)))),
% 7.60/5.62 inference(rewrite,[status(thm)],[])).
% 7.60/5.62 tff(13089,plain,
% 7.60/5.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB101, constB102)) | (v110(constB102) <=> v108(constB101)))),
% 7.60/5.62 inference(quant_inst,[status(thm)],[])).
% 7.60/5.62 tff(13090,plain,
% 7.60/5.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB101, constB102)) | (v110(constB102) <=> v108(constB101))),
% 7.60/5.62 inference(modus_ponens,[status(thm)],[13089, 13088])).
% 7.60/5.62 tff(13091,plain,
% 7.60/5.62 (v110(constB102) <=> v108(constB101)),
% 7.60/5.62 inference(unit_resolution,[status(thm)],[13090, 10780, 3285])).
% 7.60/5.62 tff(13092,plain,
% 7.60/5.62 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB101) <=> (v111(constB101) | v112(constB101)))),
% 7.60/5.62 inference(quant_inst,[status(thm)],[])).
% 7.60/5.62 tff(13093,plain,
% 7.60/5.62 (v108(constB101) <=> (v111(constB101) | v112(constB101))),
% 7.60/5.62 inference(unit_resolution,[status(thm)],[13092, 3296])).
% 7.60/5.62 tff(13094,plain,
% 7.60/5.62 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB101) <=> (~((~v113(constB101)) | (~v126(constB101)))))),
% 7.60/5.62 inference(quant_inst,[status(thm)],[])).
% 7.60/5.62 tff(13095,plain,
% 7.60/5.62 (v112(constB101) <=> (~((~v113(constB101)) | (~v126(constB101))))),
% 7.60/5.62 inference(unit_resolution,[status(thm)],[13094, 3308])).
% 7.60/5.62 tff(13096,plain,
% 7.60/5.62 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB101) <=> (v114(constB101) | v125(constB101)))),
% 7.60/5.62 inference(quant_inst,[status(thm)],[])).
% 7.60/5.62 tff(13097,plain,
% 7.60/5.62 (v113(constB101) <=> (v114(constB101) | v125(constB101))),
% 7.60/5.62 inference(unit_resolution,[status(thm)],[13096, 3317])).
% 7.60/5.62 tff(13098,plain,
% 7.60/5.62 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB101) <=> (v115(constB101) | v124(constB101)))),
% 7.60/5.62 inference(quant_inst,[status(thm)],[])).
% 7.60/5.62 tff(13099,plain,
% 7.60/5.62 (v114(constB101) <=> (v115(constB101) | v124(constB101))),
% 7.60/5.62 inference(unit_resolution,[status(thm)],[13098, 3326])).
% 7.60/5.62 tff(13100,plain,
% 7.60/5.62 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB101) <=> (v116(constB101) | v123(constB101)))),
% 7.60/5.62 inference(quant_inst,[status(thm)],[])).
% 7.60/5.62 tff(13101,plain,
% 7.60/5.62 (v115(constB101) <=> (v116(constB101) | v123(constB101))),
% 7.60/5.62 inference(unit_resolution,[status(thm)],[13100, 3335])).
% 7.60/5.62 tff(13102,plain,
% 7.60/5.62 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB101) <=> (v117(constB101) | v122(constB101)))),
% 7.60/5.62 inference(quant_inst,[status(thm)],[])).
% 7.60/5.62 tff(13103,plain,
% 7.60/5.62 (v116(constB101) <=> (v117(constB101) | v122(constB101))),
% 7.60/5.62 inference(unit_resolution,[status(thm)],[13102, 3344])).
% 7.60/5.62 tff(13104,plain,
% 7.60/5.62 ((v117(constB101) | v122(constB101)) | (~v122(constB101))),
% 7.60/5.62 inference(tautology,[status(thm)],[])).
% 7.60/5.62 tff(13105,plain,
% 7.60/5.62 (v117(constB101) | v122(constB101)),
% 7.60/5.62 inference(unit_resolution,[status(thm)],[13104, 13041])).
% 7.60/5.62 tff(13106,plain,
% 7.60/5.62 ((~(v116(constB101) <=> (v117(constB101) | v122(constB101)))) | v116(constB101) | (~(v117(constB101) | v122(constB101)))),
% 7.60/5.62 inference(tautology,[status(thm)],[])).
% 7.60/5.62 tff(13107,plain,
% 7.60/5.62 (v116(constB101)),
% 7.60/5.62 inference(unit_resolution,[status(thm)],[13106, 13105, 13103])).
% 7.60/5.62 tff(13108,plain,
% 7.60/5.62 ((v116(constB101) | v123(constB101)) | (~v116(constB101))),
% 7.60/5.62 inference(tautology,[status(thm)],[])).
% 7.60/5.62 tff(13109,plain,
% 7.60/5.62 (v116(constB101) | v123(constB101)),
% 7.60/5.62 inference(unit_resolution,[status(thm)],[13108, 13107])).
% 7.60/5.62 tff(13110,plain,
% 7.60/5.62 ((~(v115(constB101) <=> (v116(constB101) | v123(constB101)))) | v115(constB101) | (~(v116(constB101) | v123(constB101)))),
% 7.60/5.62 inference(tautology,[status(thm)],[])).
% 7.60/5.62 tff(13111,plain,
% 7.60/5.62 (v115(constB101)),
% 7.60/5.62 inference(unit_resolution,[status(thm)],[13110, 13109, 13101])).
% 7.60/5.62 tff(13112,plain,
% 7.60/5.62 ((v115(constB101) | v124(constB101)) | (~v115(constB101))),
% 7.60/5.62 inference(tautology,[status(thm)],[])).
% 7.60/5.62 tff(13113,plain,
% 7.60/5.62 (v115(constB101) | v124(constB101)),
% 7.60/5.62 inference(unit_resolution,[status(thm)],[13112, 13111])).
% 7.60/5.62 tff(13114,plain,
% 7.60/5.62 ((~(v114(constB101) <=> (v115(constB101) | v124(constB101)))) | v114(constB101) | (~(v115(constB101) | v124(constB101)))),
% 7.60/5.62 inference(tautology,[status(thm)],[])).
% 7.60/5.62 tff(13115,plain,
% 7.60/5.62 (v114(constB101)),
% 7.60/5.62 inference(unit_resolution,[status(thm)],[13114, 13113, 13099])).
% 7.60/5.62 tff(13116,plain,
% 7.60/5.62 ((v114(constB101) | v125(constB101)) | (~v114(constB101))),
% 7.60/5.62 inference(tautology,[status(thm)],[])).
% 7.60/5.62 tff(13117,plain,
% 7.60/5.62 (v114(constB101) | v125(constB101)),
% 7.60/5.62 inference(unit_resolution,[status(thm)],[13116, 13115])).
% 7.60/5.62 tff(13118,plain,
% 7.60/5.62 ((~(v113(constB101) <=> (v114(constB101) | v125(constB101)))) | v113(constB101) | (~(v114(constB101) | v125(constB101)))),
% 7.60/5.62 inference(tautology,[status(thm)],[])).
% 7.60/5.62 tff(13119,plain,
% 7.60/5.62 (v113(constB101)),
% 7.60/5.62 inference(unit_resolution,[status(thm)],[13118, 13117, 13097])).
% 7.60/5.62 tff(13120,plain,
% 7.60/5.62 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB101)) <=> v111(constB101))),
% 7.60/5.62 inference(quant_inst,[status(thm)],[])).
% 7.60/5.62 tff(13121,plain,
% 7.60/5.62 ((~v126(constB101)) <=> v111(constB101)),
% 7.60/5.62 inference(unit_resolution,[status(thm)],[13120, 3396])).
% 7.60/5.62 tff(13122,plain,
% 7.60/5.62 ((~((~v126(constB101)) <=> v111(constB101))) | v126(constB101) | v111(constB101)),
% 7.60/5.62 inference(tautology,[status(thm)],[])).
% 7.60/5.62 tff(13123,plain,
% 7.60/5.62 ((~((~v126(constB101)) <=> v111(constB101))) | v126(constB101)),
% 7.60/5.62 inference(unit_resolution,[status(thm)],[13122, 10793])).
% 7.60/5.62 tff(13124,plain,
% 7.60/5.62 (v126(constB101)),
% 7.60/5.62 inference(unit_resolution,[status(thm)],[13123, 13121])).
% 7.60/5.62 tff(13125,plain,
% 7.60/5.62 ((~((~v113(constB101)) | (~v126(constB101)))) | (~v113(constB101)) | (~v126(constB101))),
% 7.60/5.62 inference(tautology,[status(thm)],[])).
% 7.60/5.62 tff(13126,plain,
% 7.60/5.62 ((~((~v113(constB101)) | (~v126(constB101)))) | (~v113(constB101))),
% 7.60/5.62 inference(unit_resolution,[status(thm)],[13125, 13124])).
% 7.60/5.62 tff(13127,plain,
% 7.60/5.62 (~((~v113(constB101)) | (~v126(constB101)))),
% 7.60/5.62 inference(unit_resolution,[status(thm)],[13126, 13119])).
% 7.60/5.62 tff(13128,plain,
% 7.60/5.62 ((~(v112(constB101) <=> (~((~v113(constB101)) | (~v126(constB101)))))) | v112(constB101) | ((~v113(constB101)) | (~v126(constB101)))),
% 7.60/5.62 inference(tautology,[status(thm)],[])).
% 7.60/5.62 tff(13129,plain,
% 7.60/5.62 (v112(constB101)),
% 7.60/5.62 inference(unit_resolution,[status(thm)],[13128, 13127, 13095])).
% 7.60/5.62 tff(13130,plain,
% 7.60/5.62 ((v111(constB101) | v112(constB101)) | (~v112(constB101))),
% 7.60/5.62 inference(tautology,[status(thm)],[])).
% 7.60/5.62 tff(13131,plain,
% 7.60/5.62 (v111(constB101) | v112(constB101)),
% 7.60/5.62 inference(unit_resolution,[status(thm)],[13130, 13129])).
% 7.60/5.62 tff(13132,plain,
% 7.60/5.62 ((~(v108(constB101) <=> (v111(constB101) | v112(constB101)))) | v108(constB101) | (~(v111(constB101) | v112(constB101)))),
% 7.60/5.62 inference(tautology,[status(thm)],[])).
% 7.60/5.62 tff(13133,plain,
% 7.60/5.62 (v108(constB101)),
% 7.60/5.62 inference(unit_resolution,[status(thm)],[13132, 13131, 13093])).
% 7.60/5.62 tff(13134,plain,
% 7.60/5.62 ((~(v110(constB102) <=> v108(constB101))) | v110(constB102) | (~v108(constB101))),
% 7.60/5.62 inference(tautology,[status(thm)],[])).
% 7.60/5.62 tff(13135,plain,
% 7.60/5.62 (v110(constB102)),
% 7.60/5.62 inference(unit_resolution,[status(thm)],[13134, 13133, 13091])).
% 7.60/5.62 tff(13136,plain,
% 7.60/5.62 ((~((~v101(constB102)) | (~v110(constB102)))) | (~v101(constB102)) | (~v110(constB102))),
% 7.60/5.62 inference(tautology,[status(thm)],[])).
% 7.60/5.62 tff(13137,plain,
% 7.60/5.62 (~((~v101(constB102)) | (~v110(constB102)))),
% 7.60/5.62 inference(unit_resolution,[status(thm)],[13136, 13135, 13087])).
% 7.60/5.62 tff(13138,plain,
% 7.60/5.62 ((~(v100(constB102) <=> (~((~v101(constB102)) | (~v110(constB102)))))) | v100(constB102) | ((~v101(constB102)) | (~v110(constB102)))),
% 7.60/5.62 inference(tautology,[status(thm)],[])).
% 7.60/5.62 tff(13139,plain,
% 7.60/5.62 (v100(constB102)),
% 7.60/5.62 inference(unit_resolution,[status(thm)],[13138, 13137, 13059])).
% 7.60/5.62 tff(13140,plain,
% 7.60/5.62 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB102)) | (~(((~v90(constB102, bitIndex0)) <=> v129(constB102, bitIndex0)) | ((~v90(constB102, bitIndex2)) <=> v129(constB102, bitIndex2)) | ((~v90(constB102, bitIndex1)) <=> v129(constB102, bitIndex1)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB102)) | (~(((~v90(constB102, bitIndex0)) <=> v129(constB102, bitIndex0)) | ((~v90(constB102, bitIndex2)) <=> v129(constB102, bitIndex2)) | ((~v90(constB102, bitIndex1)) <=> v129(constB102, bitIndex1)))))),
% 7.60/5.62 inference(rewrite,[status(thm)],[])).
% 7.60/5.62 tff(13141,plain,
% 7.60/5.62 (((~v100(constB102)) | (~(((~v90(constB102, bitIndex2)) <=> v129(constB102, bitIndex2)) | ((~v90(constB102, bitIndex1)) <=> v129(constB102, bitIndex1)) | ((~v90(constB102, bitIndex0)) <=> v129(constB102, bitIndex0))))) <=> ((~v100(constB102)) | (~(((~v90(constB102, bitIndex0)) <=> v129(constB102, bitIndex0)) | ((~v90(constB102, bitIndex2)) <=> v129(constB102, bitIndex2)) | ((~v90(constB102, bitIndex1)) <=> v129(constB102, bitIndex1)))))),
% 7.60/5.62 inference(rewrite,[status(thm)],[])).
% 7.60/5.62 tff(13142,plain,
% 7.60/5.62 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB102)) | (~(((~v90(constB102, bitIndex2)) <=> v129(constB102, bitIndex2)) | ((~v90(constB102, bitIndex1)) <=> v129(constB102, bitIndex1)) | ((~v90(constB102, bitIndex0)) <=> v129(constB102, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB102)) | (~(((~v90(constB102, bitIndex0)) <=> v129(constB102, bitIndex0)) | ((~v90(constB102, bitIndex2)) <=> v129(constB102, bitIndex2)) | ((~v90(constB102, bitIndex1)) <=> v129(constB102, bitIndex1))))))),
% 7.60/5.62 inference(monotonicity,[status(thm)],[13141])).
% 7.60/5.62 tff(13143,plain,
% 7.60/5.62 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB102)) | (~(((~v90(constB102, bitIndex2)) <=> v129(constB102, bitIndex2)) | ((~v90(constB102, bitIndex1)) <=> v129(constB102, bitIndex1)) | ((~v90(constB102, bitIndex0)) <=> v129(constB102, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB102)) | (~(((~v90(constB102, bitIndex0)) <=> v129(constB102, bitIndex0)) | ((~v90(constB102, bitIndex2)) <=> v129(constB102, bitIndex2)) | ((~v90(constB102, bitIndex1)) <=> v129(constB102, bitIndex1)))))),
% 7.60/5.62 inference(transitivity,[status(thm)],[13142, 13140])).
% 7.60/5.62 tff(13144,plain,
% 7.60/5.62 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB102)) | (~(((~v90(constB102, bitIndex2)) <=> v129(constB102, bitIndex2)) | ((~v90(constB102, bitIndex1)) <=> v129(constB102, bitIndex1)) | ((~v90(constB102, bitIndex0)) <=> v129(constB102, bitIndex0)))))),
% 7.60/5.62 inference(quant_inst,[status(thm)],[])).
% 7.60/5.62 tff(13145,plain,
% 7.60/5.62 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB102)) | (~(((~v90(constB102, bitIndex0)) <=> v129(constB102, bitIndex0)) | ((~v90(constB102, bitIndex2)) <=> v129(constB102, bitIndex2)) | ((~v90(constB102, bitIndex1)) <=> v129(constB102, bitIndex1))))),
% 7.60/5.62 inference(modus_ponens,[status(thm)],[13144, 13143])).
% 7.60/5.62 tff(13146,plain,
% 7.60/5.62 ((~v100(constB102)) | (~(((~v90(constB102, bitIndex0)) <=> v129(constB102, bitIndex0)) | ((~v90(constB102, bitIndex2)) <=> v129(constB102, bitIndex2)) | ((~v90(constB102, bitIndex1)) <=> v129(constB102, bitIndex1))))),
% 7.60/5.62 inference(unit_resolution,[status(thm)],[13145, 3429])).
% 7.60/5.62 tff(13147,plain,
% 7.60/5.62 (~(((~v90(constB102, bitIndex0)) <=> v129(constB102, bitIndex0)) | ((~v90(constB102, bitIndex2)) <=> v129(constB102, bitIndex2)) | ((~v90(constB102, bitIndex1)) <=> v129(constB102, bitIndex1)))),
% 7.71/5.62 inference(unit_resolution,[status(thm)],[13146, 13139])).
% 7.71/5.62 tff(13148,plain,
% 7.71/5.62 ((((~v90(constB102, bitIndex0)) <=> v129(constB102, bitIndex0)) | ((~v90(constB102, bitIndex2)) <=> v129(constB102, bitIndex2)) | ((~v90(constB102, bitIndex1)) <=> v129(constB102, bitIndex1))) | (~((~v90(constB102, bitIndex2)) <=> v129(constB102, bitIndex2)))),
% 7.71/5.62 inference(tautology,[status(thm)],[])).
% 7.71/5.62 tff(13149,plain,
% 7.71/5.62 (~((~v90(constB102, bitIndex2)) <=> v129(constB102, bitIndex2))),
% 7.71/5.62 inference(unit_resolution,[status(thm)],[13148, 13147])).
% 7.71/5.62 tff(13150,plain,
% 7.71/5.62 (((~v90(constB102, bitIndex2)) <=> v129(constB102, bitIndex2)) | v90(constB102, bitIndex2) | (~v129(constB102, bitIndex2))),
% 7.71/5.62 inference(tautology,[status(thm)],[])).
% 7.71/5.62 tff(13151,plain,
% 7.71/5.62 (v90(constB102, bitIndex2)),
% 7.71/5.62 inference(unit_resolution,[status(thm)],[13150, 13149, 13055])).
% 7.71/5.62 tff(13152,plain,
% 7.71/5.62 (((~v90(constB103, bitIndex2)) <=> v90(constB102, bitIndex2)) | v90(constB103, bitIndex2) | (~v90(constB102, bitIndex2))),
% 7.71/5.62 inference(tautology,[status(thm)],[])).
% 7.71/5.62 tff(13153,plain,
% 7.71/5.62 (v90(constB103, bitIndex2)),
% 7.71/5.62 inference(unit_resolution,[status(thm)],[13152, 13151, 10777])).
% 7.71/5.62 tff(13154,plain,
% 7.71/5.62 ((((~v90(constB103, bitIndex1)) <=> v90(constB102, bitIndex1)) | ((~v90(constB103, bitIndex2)) <=> v90(constB102, bitIndex2)) | ((~v90(constB103, bitIndex0)) <=> v90(constB102, bitIndex0))) | (~((~v90(constB103, bitIndex0)) <=> v90(constB102, bitIndex0)))),
% 7.71/5.62 inference(tautology,[status(thm)],[])).
% 7.71/5.62 tff(13155,plain,
% 7.71/5.62 (~((~v90(constB103, bitIndex0)) <=> v90(constB102, bitIndex0))),
% 7.71/5.62 inference(unit_resolution,[status(thm)],[13154, 10775])).
% 7.71/5.62 tff(13156,plain,
% 7.71/5.62 ((((~v129(constB102, bitIndex2)) <=> v127(constB101, bitIndex2)) | ((~v129(constB102, bitIndex1)) <=> v127(constB101, bitIndex1)) | ((~v129(constB102, bitIndex0)) <=> v127(constB101, bitIndex0))) | (~((~v129(constB102, bitIndex0)) <=> v127(constB101, bitIndex0)))),
% 7.71/5.62 inference(tautology,[status(thm)],[])).
% 7.71/5.62 tff(13157,plain,
% 7.71/5.62 (~((~v129(constB102, bitIndex0)) <=> v127(constB101, bitIndex0))),
% 7.71/5.63 inference(unit_resolution,[status(thm)],[13156, 10784])).
% 7.71/5.63 tff(13158,plain,
% 7.71/5.63 ((((~v127(constB101, bitIndex2)) <=> v130(constB101, bitIndex2)) | ((~v127(constB101, bitIndex1)) <=> v130(constB101, bitIndex1)) | ((~v127(constB101, bitIndex0)) <=> v130(constB101, bitIndex0))) | (~((~v127(constB101, bitIndex0)) <=> v130(constB101, bitIndex0)))),
% 7.71/5.63 inference(tautology,[status(thm)],[])).
% 7.71/5.63 tff(13159,plain,
% 7.71/5.63 (~((~v127(constB101, bitIndex0)) <=> v130(constB101, bitIndex0))),
% 7.71/5.63 inference(unit_resolution,[status(thm)],[13158, 10798])).
% 7.71/5.63 tff(13160,plain,
% 7.71/5.63 ((v130(constB101, bitIndex1) | v130(constB101, bitIndex0) | (~v130(constB101, bitIndex2))) | (~v130(constB101, bitIndex0))),
% 7.71/5.63 inference(tautology,[status(thm)],[])).
% 7.71/5.63 tff(13161,plain,
% 7.71/5.63 (~v130(constB101, bitIndex0)),
% 7.71/5.63 inference(unit_resolution,[status(thm)],[13160, 13049])).
% 7.71/5.63 tff(13162,plain,
% 7.71/5.63 (((~v127(constB101, bitIndex0)) <=> v130(constB101, bitIndex0)) | (~v127(constB101, bitIndex0)) | v130(constB101, bitIndex0)),
% 7.71/5.63 inference(tautology,[status(thm)],[])).
% 7.71/5.63 tff(13163,plain,
% 7.71/5.63 (~v127(constB101, bitIndex0)),
% 7.71/5.63 inference(unit_resolution,[status(thm)],[13162, 13161, 13159])).
% 7.71/5.63 tff(13164,plain,
% 7.71/5.63 (((~v129(constB102, bitIndex0)) <=> v127(constB101, bitIndex0)) | (~v129(constB102, bitIndex0)) | v127(constB101, bitIndex0)),
% 7.71/5.63 inference(tautology,[status(thm)],[])).
% 7.71/5.63 tff(13165,plain,
% 7.71/5.63 (~v129(constB102, bitIndex0)),
% 7.71/5.63 inference(unit_resolution,[status(thm)],[13164, 13163, 13157])).
% 7.71/5.63 tff(13166,plain,
% 7.71/5.63 ((((~v90(constB102, bitIndex0)) <=> v129(constB102, bitIndex0)) | ((~v90(constB102, bitIndex2)) <=> v129(constB102, bitIndex2)) | ((~v90(constB102, bitIndex1)) <=> v129(constB102, bitIndex1))) | (~((~v90(constB102, bitIndex0)) <=> v129(constB102, bitIndex0)))),
% 7.71/5.63 inference(tautology,[status(thm)],[])).
% 7.71/5.63 tff(13167,plain,
% 7.71/5.63 (~((~v90(constB102, bitIndex0)) <=> v129(constB102, bitIndex0))),
% 7.71/5.63 inference(unit_resolution,[status(thm)],[13166, 13147])).
% 7.71/5.63 tff(13168,plain,
% 7.71/5.63 (((~v90(constB102, bitIndex0)) <=> v129(constB102, bitIndex0)) | (~v90(constB102, bitIndex0)) | v129(constB102, bitIndex0)),
% 7.71/5.63 inference(tautology,[status(thm)],[])).
% 7.71/5.63 tff(13169,plain,
% 7.71/5.63 (~v90(constB102, bitIndex0)),
% 7.71/5.63 inference(unit_resolution,[status(thm)],[13168, 13167, 13165])).
% 7.71/5.63 tff(13170,plain,
% 7.71/5.63 (((~v90(constB103, bitIndex0)) <=> v90(constB102, bitIndex0)) | (~v90(constB103, bitIndex0)) | v90(constB102, bitIndex0)),
% 7.71/5.63 inference(tautology,[status(thm)],[])).
% 7.71/5.63 tff(13171,plain,
% 7.71/5.63 (~v90(constB103, bitIndex0)),
% 7.71/5.63 inference(unit_resolution,[status(thm)],[13170, 13169, 13155])).
% 7.71/5.63 tff(13172,plain,
% 7.71/5.63 ((((~v90(constB103, bitIndex1)) <=> v90(constB102, bitIndex1)) | ((~v90(constB103, bitIndex2)) <=> v90(constB102, bitIndex2)) | ((~v90(constB103, bitIndex0)) <=> v90(constB102, bitIndex0))) | (~((~v90(constB103, bitIndex1)) <=> v90(constB102, bitIndex1)))),
% 7.71/5.63 inference(tautology,[status(thm)],[])).
% 7.71/5.63 tff(13173,plain,
% 7.71/5.63 (~((~v90(constB103, bitIndex1)) <=> v90(constB102, bitIndex1))),
% 7.71/5.63 inference(unit_resolution,[status(thm)],[13172, 10775])).
% 7.71/5.63 tff(13174,plain,
% 7.71/5.63 ((((~v129(constB102, bitIndex2)) <=> v127(constB101, bitIndex2)) | ((~v129(constB102, bitIndex1)) <=> v127(constB101, bitIndex1)) | ((~v129(constB102, bitIndex0)) <=> v127(constB101, bitIndex0))) | (~((~v129(constB102, bitIndex1)) <=> v127(constB101, bitIndex1)))),
% 7.71/5.63 inference(tautology,[status(thm)],[])).
% 7.71/5.63 tff(13175,plain,
% 7.71/5.63 (~((~v129(constB102, bitIndex1)) <=> v127(constB101, bitIndex1))),
% 7.71/5.63 inference(unit_resolution,[status(thm)],[13174, 10784])).
% 7.71/5.63 tff(13176,plain,
% 7.71/5.63 ((((~v127(constB101, bitIndex2)) <=> v130(constB101, bitIndex2)) | ((~v127(constB101, bitIndex1)) <=> v130(constB101, bitIndex1)) | ((~v127(constB101, bitIndex0)) <=> v130(constB101, bitIndex0))) | (~((~v127(constB101, bitIndex1)) <=> v130(constB101, bitIndex1)))),
% 7.71/5.63 inference(tautology,[status(thm)],[])).
% 7.71/5.63 tff(13177,plain,
% 7.71/5.63 (~((~v127(constB101, bitIndex1)) <=> v130(constB101, bitIndex1))),
% 7.71/5.63 inference(unit_resolution,[status(thm)],[13176, 10798])).
% 7.71/5.63 tff(13178,plain,
% 7.71/5.63 ((v130(constB101, bitIndex1) | v130(constB101, bitIndex0) | (~v130(constB101, bitIndex2))) | (~v130(constB101, bitIndex1))),
% 7.71/5.63 inference(tautology,[status(thm)],[])).
% 7.71/5.63 tff(13179,plain,
% 7.71/5.63 (~v130(constB101, bitIndex1)),
% 7.71/5.63 inference(unit_resolution,[status(thm)],[13178, 13049])).
% 7.71/5.63 tff(13180,plain,
% 7.71/5.63 (((~v127(constB101, bitIndex1)) <=> v130(constB101, bitIndex1)) | (~v127(constB101, bitIndex1)) | v130(constB101, bitIndex1)),
% 7.71/5.63 inference(tautology,[status(thm)],[])).
% 7.71/5.63 tff(13181,plain,
% 7.71/5.63 (~v127(constB101, bitIndex1)),
% 7.71/5.63 inference(unit_resolution,[status(thm)],[13180, 13179, 13177])).
% 7.71/5.63 tff(13182,plain,
% 7.71/5.63 (((~v129(constB102, bitIndex1)) <=> v127(constB101, bitIndex1)) | (~v129(constB102, bitIndex1)) | v127(constB101, bitIndex1)),
% 7.71/5.63 inference(tautology,[status(thm)],[])).
% 7.71/5.63 tff(13183,plain,
% 7.71/5.63 (~v129(constB102, bitIndex1)),
% 7.71/5.63 inference(unit_resolution,[status(thm)],[13182, 13181, 13175])).
% 7.71/5.63 tff(13184,plain,
% 7.71/5.63 ((((~v90(constB102, bitIndex0)) <=> v129(constB102, bitIndex0)) | ((~v90(constB102, bitIndex2)) <=> v129(constB102, bitIndex2)) | ((~v90(constB102, bitIndex1)) <=> v129(constB102, bitIndex1))) | (~((~v90(constB102, bitIndex1)) <=> v129(constB102, bitIndex1)))),
% 7.71/5.63 inference(tautology,[status(thm)],[])).
% 7.71/5.63 tff(13185,plain,
% 7.71/5.63 (~((~v90(constB102, bitIndex1)) <=> v129(constB102, bitIndex1))),
% 7.71/5.63 inference(unit_resolution,[status(thm)],[13184, 13147])).
% 7.71/5.63 tff(13186,plain,
% 7.71/5.63 (((~v90(constB102, bitIndex1)) <=> v129(constB102, bitIndex1)) | (~v90(constB102, bitIndex1)) | v129(constB102, bitIndex1)),
% 7.71/5.63 inference(tautology,[status(thm)],[])).
% 7.71/5.63 tff(13187,plain,
% 7.71/5.63 (~v90(constB102, bitIndex1)),
% 7.71/5.63 inference(unit_resolution,[status(thm)],[13186, 13185, 13183])).
% 7.71/5.63 tff(13188,plain,
% 7.71/5.63 (((~v90(constB103, bitIndex1)) <=> v90(constB102, bitIndex1)) | (~v90(constB103, bitIndex1)) | v90(constB102, bitIndex1)),
% 7.71/5.63 inference(tautology,[status(thm)],[])).
% 7.71/5.63 tff(13189,plain,
% 7.71/5.63 (~v90(constB103, bitIndex1)),
% 7.71/5.63 inference(unit_resolution,[status(thm)],[13188, 13187, 13173])).
% 7.71/5.63 tff(13190,plain,
% 7.71/5.63 ((~(v90(constB103, bitIndex1) | v90(constB103, bitIndex0) | (~v90(constB103, bitIndex2)))) | v90(constB103, bitIndex1) | v90(constB103, bitIndex0) | (~v90(constB103, bitIndex2))),
% 7.71/5.63 inference(tautology,[status(thm)],[])).
% 7.71/5.63 tff(13191,plain,
% 7.71/5.63 (~(v90(constB103, bitIndex1) | v90(constB103, bitIndex0) | (~v90(constB103, bitIndex2)))),
% 7.71/5.63 inference(unit_resolution,[status(thm)],[13190, 13189, 13171, 13153])).
% 7.71/5.63 tff(13192,plain,
% 7.71/5.63 ((~(v123(constB103) <=> (~(v90(constB103, bitIndex1) | v90(constB103, bitIndex0) | (~v90(constB103, bitIndex2)))))) | v123(constB103) | (v90(constB103, bitIndex1) | v90(constB103, bitIndex0) | (~v90(constB103, bitIndex2)))),
% 7.71/5.63 inference(tautology,[status(thm)],[])).
% 7.71/5.63 tff(13193,plain,
% 7.71/5.63 (v123(constB103)),
% 7.71/5.63 inference(unit_resolution,[status(thm)],[13192, 13191, 10741])).
% 7.71/5.63 tff(13194,plain,
% 7.71/5.63 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | ((~v123(constB103)) | (~(v130(constB103, bitIndex0) | (~v130(constB103, bitIndex2)) | (~v130(constB103, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | (~v123(constB103)) | (~(v130(constB103, bitIndex0) | (~v130(constB103, bitIndex2)) | (~v130(constB103, bitIndex1)))))),
% 7.71/5.63 inference(rewrite,[status(thm)],[])).
% 7.71/5.63 tff(13195,plain,
% 7.71/5.63 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | ((~v123(constB103)) | (~(v130(constB103, bitIndex0) | (~v130(constB103, bitIndex2)) | (~v130(constB103, bitIndex1)))))),
% 7.71/5.63 inference(quant_inst,[status(thm)],[])).
% 7.71/5.63 tff(13196,plain,
% 7.71/5.63 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | (~v123(constB103)) | (~(v130(constB103, bitIndex0) | (~v130(constB103, bitIndex2)) | (~v130(constB103, bitIndex1))))),
% 7.71/5.63 inference(modus_ponens,[status(thm)],[13195, 13194])).
% 7.71/5.63 tff(13197,plain,
% 7.71/5.63 ((~v123(constB103)) | (~(v130(constB103, bitIndex0) | (~v130(constB103, bitIndex2)) | (~v130(constB103, bitIndex1))))),
% 7.71/5.63 inference(unit_resolution,[status(thm)],[13196, 3496])).
% 7.71/5.63 tff(13198,plain,
% 7.71/5.63 (~(v130(constB103, bitIndex0) | (~v130(constB103, bitIndex2)) | (~v130(constB103, bitIndex1)))),
% 7.71/5.63 inference(unit_resolution,[status(thm)],[13197, 13193])).
% 7.71/5.63 tff(13199,plain,
% 7.71/5.63 ((v130(constB103, bitIndex0) | (~v130(constB103, bitIndex2)) | (~v130(constB103, bitIndex1))) | v130(constB103, bitIndex2)),
% 7.71/5.63 inference(tautology,[status(thm)],[])).
% 7.71/5.63 tff(13200,plain,
% 7.71/5.63 (v130(constB103, bitIndex2)),
% 7.71/5.63 inference(unit_resolution,[status(thm)],[13199, 13198])).
% 7.71/5.63 tff(13201,plain,
% 7.71/5.63 (((~v127(constB103, bitIndex2)) <=> v130(constB103, bitIndex2)) | v127(constB103, bitIndex2) | (~v130(constB103, bitIndex2))),
% 7.71/5.63 inference(tautology,[status(thm)],[])).
% 7.71/5.63 tff(13202,plain,
% 7.71/5.63 (v127(constB103, bitIndex2)),
% 7.71/5.63 inference(unit_resolution,[status(thm)],[13201, 13200, 10734])).
% 7.71/5.63 tff(13203,plain,
% 7.71/5.63 (((~v129(constB104, bitIndex2)) <=> v127(constB103, bitIndex2)) | v129(constB104, bitIndex2) | (~v127(constB103, bitIndex2))),
% 7.71/5.63 inference(tautology,[status(thm)],[])).
% 7.71/5.63 tff(13204,plain,
% 7.71/5.63 (v129(constB104, bitIndex2)),
% 7.71/5.63 inference(unit_resolution,[status(thm)],[13203, 13202, 10720])).
% 7.71/5.63 tff(13205,plain,
% 7.71/5.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB103, constB104)) | (v100(constB104) <=> (~((~v101(constB104)) | (~v110(constB104))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB103, constB104)) | (v100(constB104) <=> (~((~v101(constB104)) | (~v110(constB104))))))),
% 7.71/5.63 inference(rewrite,[status(thm)],[])).
% 7.71/5.63 tff(13206,plain,
% 7.71/5.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB103, constB104)) | (v100(constB104) <=> (~((~v101(constB104)) | (~v110(constB104))))))),
% 7.71/5.63 inference(quant_inst,[status(thm)],[])).
% 7.71/5.63 tff(13207,plain,
% 7.71/5.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB103, constB104)) | (v100(constB104) <=> (~((~v101(constB104)) | (~v110(constB104)))))),
% 7.71/5.63 inference(modus_ponens,[status(thm)],[13206, 13205])).
% 7.71/5.63 tff(13208,plain,
% 7.71/5.63 (v100(constB104) <=> (~((~v101(constB104)) | (~v110(constB104))))),
% 7.71/5.63 inference(unit_resolution,[status(thm)],[13207, 10714, 445])).
% 7.71/5.63 tff(13209,plain,
% 7.71/5.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB103, constB104)) | (v101(constB104) <=> (~((~v1(constB104)) | (~v102(constB104))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB103, constB104)) | (v101(constB104) <=> (~((~v1(constB104)) | (~v102(constB104))))))),
% 7.71/5.63 inference(rewrite,[status(thm)],[])).
% 7.71/5.63 tff(13210,plain,
% 7.71/5.63 (((~nextState(constB103, constB104)) | (v101(constB104) <=> (~((~v102(constB104)) | (~v1(constB104)))))) <=> ((~nextState(constB103, constB104)) | (v101(constB104) <=> (~((~v1(constB104)) | (~v102(constB104))))))),
% 7.71/5.63 inference(rewrite,[status(thm)],[])).
% 7.71/5.63 tff(13211,plain,
% 7.71/5.63 (((~![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) <=> (~((~v1(constB104)) | (~v102(constB104)))))))),
% 7.71/5.63 inference(monotonicity,[status(thm)],[13210])).
% 7.71/5.63 tff(13212,plain,
% 7.71/5.63 (((~![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) <=> (~((~v1(constB104)) | (~v102(constB104))))))),
% 7.71/5.63 inference(transitivity,[status(thm)],[13211, 13209])).
% 7.71/5.63 tff(13213,plain,
% 7.71/5.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB103, constB104)) | (v101(constB104) <=> (~((~v102(constB104)) | (~v1(constB104))))))),
% 7.71/5.63 inference(quant_inst,[status(thm)],[])).
% 7.71/5.63 tff(13214,plain,
% 7.71/5.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB103, constB104)) | (v101(constB104) <=> (~((~v1(constB104)) | (~v102(constB104)))))),
% 7.71/5.63 inference(modus_ponens,[status(thm)],[13213, 13212])).
% 7.71/5.63 tff(13215,plain,
% 7.71/5.63 (v101(constB104) <=> (~((~v1(constB104)) | (~v102(constB104))))),
% 7.71/5.63 inference(unit_resolution,[status(thm)],[13214, 10714, 465])).
% 7.71/5.63 tff(13216,plain,
% 7.71/5.63 (((~![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)))),
% 7.71/5.63 inference(rewrite,[status(thm)],[])).
% 7.71/5.63 tff(13217,plain,
% 7.71/5.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB103, constB104)) | ((~v102(constB104)) <=> v104(constB104)))),
% 7.71/5.63 inference(quant_inst,[status(thm)],[])).
% 7.71/5.63 tff(13218,plain,
% 7.71/5.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB103, constB104)) | ((~v102(constB104)) <=> v104(constB104))),
% 7.71/5.63 inference(modus_ponens,[status(thm)],[13217, 13216])).
% 7.71/5.63 tff(13219,plain,
% 7.71/5.63 ((~v102(constB104)) <=> v104(constB104)),
% 7.71/5.63 inference(unit_resolution,[status(thm)],[13218, 10714, 3244])).
% 7.71/5.63 tff(13220,plain,
% 7.71/5.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB103, constB104)) | (v104(constB104) <=> v1(constB103)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB103, constB104)) | (v104(constB104) <=> v1(constB103)))),
% 7.71/5.63 inference(rewrite,[status(thm)],[])).
% 7.71/5.63 tff(13221,plain,
% 7.71/5.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB103, constB104)) | (v104(constB104) <=> v1(constB103)))),
% 7.71/5.63 inference(quant_inst,[status(thm)],[])).
% 7.71/5.63 tff(13222,plain,
% 7.71/5.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB103, constB104)) | (v104(constB104) <=> v1(constB103))),
% 7.71/5.63 inference(modus_ponens,[status(thm)],[13221, 13220])).
% 7.71/5.63 tff(13223,plain,
% 7.71/5.63 (v104(constB104) <=> v1(constB103)),
% 7.71/5.63 inference(unit_resolution,[status(thm)],[13222, 10714, 3258])).
% 7.71/5.63 tff(13224,plain,
% 7.71/5.63 ((~(v104(constB104) <=> v1(constB103))) | (~v104(constB104)) | v1(constB103)),
% 7.71/5.63 inference(tautology,[status(thm)],[])).
% 7.71/5.63 tff(13225,plain,
% 7.71/5.63 ((~(v104(constB104) <=> v1(constB103))) | (~v104(constB104))),
% 7.71/5.63 inference(unit_resolution,[status(thm)],[13224, 10758])).
% 7.71/5.63 tff(13226,plain,
% 7.71/5.63 (~v104(constB104)),
% 7.71/5.63 inference(unit_resolution,[status(thm)],[13225, 13223])).
% 7.71/5.63 tff(13227,plain,
% 7.71/5.63 ((~((~v102(constB104)) <=> v104(constB104))) | v102(constB104) | v104(constB104)),
% 7.71/5.63 inference(tautology,[status(thm)],[])).
% 7.71/5.63 tff(13228,plain,
% 7.71/5.63 (v102(constB104)),
% 7.71/5.63 inference(unit_resolution,[status(thm)],[13227, 13226, 13219])).
% 7.71/5.63 tff(13229,plain,
% 7.71/5.63 (v1(constB104) <=> v1(constB104)),
% 7.71/5.63 inference(rewrite,[status(thm)],[])).
% 7.71/5.63 tff(13230,axiom,(v1(constB104)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_104')).
% 7.71/5.63 tff(13231,plain,
% 7.71/5.63 (v1(constB104)),
% 7.71/5.63 inference(modus_ponens,[status(thm)],[13230, 13229])).
% 7.71/5.63 tff(13232,plain,
% 7.71/5.63 ((~((~v1(constB104)) | (~v102(constB104)))) | (~v1(constB104)) | (~v102(constB104))),
% 7.71/5.63 inference(tautology,[status(thm)],[])).
% 7.71/5.63 tff(13233,plain,
% 7.71/5.63 ((~((~v1(constB104)) | (~v102(constB104)))) | (~v102(constB104))),
% 7.71/5.63 inference(unit_resolution,[status(thm)],[13232, 13231])).
% 7.71/5.63 tff(13234,plain,
% 7.71/5.63 (~((~v1(constB104)) | (~v102(constB104)))),
% 7.71/5.63 inference(unit_resolution,[status(thm)],[13233, 13228])).
% 7.71/5.63 tff(13235,plain,
% 7.71/5.63 ((~(v101(constB104) <=> (~((~v1(constB104)) | (~v102(constB104)))))) | v101(constB104) | ((~v1(constB104)) | (~v102(constB104)))),
% 7.71/5.63 inference(tautology,[status(thm)],[])).
% 7.71/5.63 tff(13236,plain,
% 7.71/5.63 (v101(constB104)),
% 7.71/5.63 inference(unit_resolution,[status(thm)],[13235, 13234, 13215])).
% 7.71/5.63 tff(13237,plain,
% 7.71/5.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB103, constB104)) | (v110(constB104) <=> v108(constB103)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB103, constB104)) | (v110(constB104) <=> v108(constB103)))),
% 7.71/5.63 inference(rewrite,[status(thm)],[])).
% 7.71/5.63 tff(13238,plain,
% 7.71/5.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB103, constB104)) | (v110(constB104) <=> v108(constB103)))),
% 7.71/5.63 inference(quant_inst,[status(thm)],[])).
% 7.71/5.63 tff(13239,plain,
% 7.71/5.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB103, constB104)) | (v110(constB104) <=> v108(constB103))),
% 7.71/5.63 inference(modus_ponens,[status(thm)],[13238, 13237])).
% 7.71/5.63 tff(13240,plain,
% 7.71/5.63 (v110(constB104) <=> v108(constB103)),
% 7.71/5.63 inference(unit_resolution,[status(thm)],[13239, 10714, 3285])).
% 7.71/5.63 tff(13241,plain,
% 7.71/5.63 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB103) <=> (v111(constB103) | v112(constB103)))),
% 7.71/5.63 inference(quant_inst,[status(thm)],[])).
% 7.71/5.63 tff(13242,plain,
% 7.71/5.63 (v108(constB103) <=> (v111(constB103) | v112(constB103))),
% 7.71/5.63 inference(unit_resolution,[status(thm)],[13241, 3296])).
% 7.71/5.63 tff(13243,plain,
% 7.71/5.63 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB103) <=> (~((~v113(constB103)) | (~v126(constB103)))))),
% 7.71/5.63 inference(quant_inst,[status(thm)],[])).
% 7.71/5.63 tff(13244,plain,
% 7.71/5.63 (v112(constB103) <=> (~((~v113(constB103)) | (~v126(constB103))))),
% 7.71/5.63 inference(unit_resolution,[status(thm)],[13243, 3308])).
% 7.71/5.63 tff(13245,plain,
% 7.71/5.63 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB103) <=> (v114(constB103) | v125(constB103)))),
% 7.71/5.63 inference(quant_inst,[status(thm)],[])).
% 7.71/5.63 tff(13246,plain,
% 7.71/5.63 (v113(constB103) <=> (v114(constB103) | v125(constB103))),
% 7.71/5.63 inference(unit_resolution,[status(thm)],[13245, 3317])).
% 7.71/5.63 tff(13247,plain,
% 7.71/5.63 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB103) <=> (v115(constB103) | v124(constB103)))),
% 7.71/5.63 inference(quant_inst,[status(thm)],[])).
% 7.71/5.63 tff(13248,plain,
% 7.71/5.63 (v114(constB103) <=> (v115(constB103) | v124(constB103))),
% 7.71/5.63 inference(unit_resolution,[status(thm)],[13247, 3326])).
% 7.71/5.63 tff(13249,plain,
% 7.71/5.63 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB103) <=> (v116(constB103) | v123(constB103)))),
% 7.71/5.63 inference(quant_inst,[status(thm)],[])).
% 7.71/5.63 tff(13250,plain,
% 7.71/5.63 (v115(constB103) <=> (v116(constB103) | v123(constB103))),
% 7.71/5.63 inference(unit_resolution,[status(thm)],[13249, 3335])).
% 7.71/5.63 tff(13251,plain,
% 7.71/5.63 ((v116(constB103) | v123(constB103)) | (~v123(constB103))),
% 7.71/5.63 inference(tautology,[status(thm)],[])).
% 7.71/5.63 tff(13252,plain,
% 7.71/5.63 (v116(constB103) | v123(constB103)),
% 7.71/5.63 inference(unit_resolution,[status(thm)],[13251, 13193])).
% 7.71/5.63 tff(13253,plain,
% 7.71/5.63 ((~(v115(constB103) <=> (v116(constB103) | v123(constB103)))) | v115(constB103) | (~(v116(constB103) | v123(constB103)))),
% 7.71/5.63 inference(tautology,[status(thm)],[])).
% 7.71/5.63 tff(13254,plain,
% 7.71/5.63 (v115(constB103)),
% 7.71/5.63 inference(unit_resolution,[status(thm)],[13253, 13252, 13250])).
% 7.71/5.63 tff(13255,plain,
% 7.71/5.63 ((v115(constB103) | v124(constB103)) | (~v115(constB103))),
% 7.71/5.63 inference(tautology,[status(thm)],[])).
% 7.71/5.63 tff(13256,plain,
% 7.71/5.63 (v115(constB103) | v124(constB103)),
% 7.71/5.63 inference(unit_resolution,[status(thm)],[13255, 13254])).
% 7.71/5.63 tff(13257,plain,
% 7.71/5.63 ((~(v114(constB103) <=> (v115(constB103) | v124(constB103)))) | v114(constB103) | (~(v115(constB103) | v124(constB103)))),
% 7.71/5.63 inference(tautology,[status(thm)],[])).
% 7.71/5.63 tff(13258,plain,
% 7.71/5.63 (v114(constB103)),
% 7.71/5.63 inference(unit_resolution,[status(thm)],[13257, 13256, 13248])).
% 7.71/5.63 tff(13259,plain,
% 7.71/5.63 ((v114(constB103) | v125(constB103)) | (~v114(constB103))),
% 7.71/5.63 inference(tautology,[status(thm)],[])).
% 7.71/5.63 tff(13260,plain,
% 7.71/5.63 (v114(constB103) | v125(constB103)),
% 7.71/5.63 inference(unit_resolution,[status(thm)],[13259, 13258])).
% 7.71/5.63 tff(13261,plain,
% 7.71/5.63 ((~(v113(constB103) <=> (v114(constB103) | v125(constB103)))) | v113(constB103) | (~(v114(constB103) | v125(constB103)))),
% 7.71/5.63 inference(tautology,[status(thm)],[])).
% 7.71/5.63 tff(13262,plain,
% 7.71/5.63 (v113(constB103)),
% 7.71/5.63 inference(unit_resolution,[status(thm)],[13261, 13260, 13246])).
% 7.71/5.63 tff(13263,plain,
% 7.71/5.63 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB103)) <=> v111(constB103))),
% 7.71/5.63 inference(quant_inst,[status(thm)],[])).
% 7.71/5.63 tff(13264,plain,
% 7.71/5.63 ((~v126(constB103)) <=> v111(constB103)),
% 7.71/5.63 inference(unit_resolution,[status(thm)],[13263, 3396])).
% 7.71/5.63 tff(13265,plain,
% 7.71/5.63 ((~((~v126(constB103)) <=> v111(constB103))) | v126(constB103) | v111(constB103)),
% 7.71/5.63 inference(tautology,[status(thm)],[])).
% 7.71/5.63 tff(13266,plain,
% 7.71/5.63 ((~((~v126(constB103)) <=> v111(constB103))) | v126(constB103)),
% 7.71/5.63 inference(unit_resolution,[status(thm)],[13265, 10727])).
% 7.71/5.63 tff(13267,plain,
% 7.71/5.63 (v126(constB103)),
% 7.71/5.63 inference(unit_resolution,[status(thm)],[13266, 13264])).
% 7.71/5.63 tff(13268,plain,
% 7.71/5.63 ((~((~v113(constB103)) | (~v126(constB103)))) | (~v113(constB103)) | (~v126(constB103))),
% 7.71/5.63 inference(tautology,[status(thm)],[])).
% 7.71/5.63 tff(13269,plain,
% 7.71/5.63 ((~((~v113(constB103)) | (~v126(constB103)))) | (~v113(constB103))),
% 7.71/5.63 inference(unit_resolution,[status(thm)],[13268, 13267])).
% 7.71/5.63 tff(13270,plain,
% 7.71/5.63 (~((~v113(constB103)) | (~v126(constB103)))),
% 7.71/5.63 inference(unit_resolution,[status(thm)],[13269, 13262])).
% 7.71/5.63 tff(13271,plain,
% 7.71/5.63 ((~(v112(constB103) <=> (~((~v113(constB103)) | (~v126(constB103)))))) | v112(constB103) | ((~v113(constB103)) | (~v126(constB103)))),
% 7.71/5.63 inference(tautology,[status(thm)],[])).
% 7.71/5.63 tff(13272,plain,
% 7.71/5.63 (v112(constB103)),
% 7.71/5.63 inference(unit_resolution,[status(thm)],[13271, 13270, 13244])).
% 7.71/5.63 tff(13273,plain,
% 7.71/5.63 ((v111(constB103) | v112(constB103)) | (~v112(constB103))),
% 7.71/5.63 inference(tautology,[status(thm)],[])).
% 7.71/5.63 tff(13274,plain,
% 7.71/5.63 (v111(constB103) | v112(constB103)),
% 7.71/5.63 inference(unit_resolution,[status(thm)],[13273, 13272])).
% 7.71/5.63 tff(13275,plain,
% 7.71/5.63 ((~(v108(constB103) <=> (v111(constB103) | v112(constB103)))) | v108(constB103) | (~(v111(constB103) | v112(constB103)))),
% 7.71/5.63 inference(tautology,[status(thm)],[])).
% 7.71/5.63 tff(13276,plain,
% 7.71/5.63 (v108(constB103)),
% 7.71/5.63 inference(unit_resolution,[status(thm)],[13275, 13274, 13242])).
% 7.71/5.63 tff(13277,plain,
% 7.71/5.63 ((~(v110(constB104) <=> v108(constB103))) | v110(constB104) | (~v108(constB103))),
% 7.71/5.63 inference(tautology,[status(thm)],[])).
% 7.71/5.63 tff(13278,plain,
% 7.71/5.63 (v110(constB104)),
% 7.71/5.63 inference(unit_resolution,[status(thm)],[13277, 13276, 13240])).
% 7.71/5.63 tff(13279,plain,
% 7.71/5.63 ((~((~v101(constB104)) | (~v110(constB104)))) | (~v101(constB104)) | (~v110(constB104))),
% 7.71/5.63 inference(tautology,[status(thm)],[])).
% 7.71/5.63 tff(13280,plain,
% 7.71/5.63 (~((~v101(constB104)) | (~v110(constB104)))),
% 7.71/5.63 inference(unit_resolution,[status(thm)],[13279, 13278, 13236])).
% 7.71/5.63 tff(13281,plain,
% 7.71/5.63 ((~(v100(constB104) <=> (~((~v101(constB104)) | (~v110(constB104)))))) | v100(constB104) | ((~v101(constB104)) | (~v110(constB104)))),
% 7.71/5.63 inference(tautology,[status(thm)],[])).
% 7.71/5.63 tff(13282,plain,
% 7.71/5.63 (v100(constB104)),
% 7.71/5.63 inference(unit_resolution,[status(thm)],[13281, 13280, 13208])).
% 7.71/5.63 tff(13283,plain,
% 7.71/5.63 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB104)) | (~(((~v90(constB104, bitIndex2)) <=> v129(constB104, bitIndex2)) | ((~v90(constB104, bitIndex1)) <=> v129(constB104, bitIndex1)) | ((~v90(constB104, bitIndex0)) <=> v129(constB104, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB104)) | (~(((~v90(constB104, bitIndex2)) <=> v129(constB104, bitIndex2)) | ((~v90(constB104, bitIndex1)) <=> v129(constB104, bitIndex1)) | ((~v90(constB104, bitIndex0)) <=> v129(constB104, bitIndex0)))))),
% 7.71/5.63 inference(rewrite,[status(thm)],[])).
% 7.71/5.63 tff(13284,plain,
% 7.71/5.63 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB104)) | (~(((~v90(constB104, bitIndex2)) <=> v129(constB104, bitIndex2)) | ((~v90(constB104, bitIndex1)) <=> v129(constB104, bitIndex1)) | ((~v90(constB104, bitIndex0)) <=> v129(constB104, bitIndex0)))))),
% 7.71/5.63 inference(quant_inst,[status(thm)],[])).
% 7.71/5.63 tff(13285,plain,
% 7.71/5.63 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB104)) | (~(((~v90(constB104, bitIndex2)) <=> v129(constB104, bitIndex2)) | ((~v90(constB104, bitIndex1)) <=> v129(constB104, bitIndex1)) | ((~v90(constB104, bitIndex0)) <=> v129(constB104, bitIndex0))))),
% 7.71/5.63 inference(modus_ponens,[status(thm)],[13284, 13283])).
% 7.71/5.63 tff(13286,plain,
% 7.71/5.63 ((~v100(constB104)) | (~(((~v90(constB104, bitIndex2)) <=> v129(constB104, bitIndex2)) | ((~v90(constB104, bitIndex1)) <=> v129(constB104, bitIndex1)) | ((~v90(constB104, bitIndex0)) <=> v129(constB104, bitIndex0))))),
% 7.71/5.63 inference(unit_resolution,[status(thm)],[13285, 3429])).
% 7.71/5.63 tff(13287,plain,
% 7.71/5.63 (~(((~v90(constB104, bitIndex2)) <=> v129(constB104, bitIndex2)) | ((~v90(constB104, bitIndex1)) <=> v129(constB104, bitIndex1)) | ((~v90(constB104, bitIndex0)) <=> v129(constB104, bitIndex0)))),
% 7.71/5.63 inference(unit_resolution,[status(thm)],[13286, 13282])).
% 7.71/5.63 tff(13288,plain,
% 7.71/5.63 ((((~v90(constB104, bitIndex2)) <=> v129(constB104, bitIndex2)) | ((~v90(constB104, bitIndex1)) <=> v129(constB104, bitIndex1)) | ((~v90(constB104, bitIndex0)) <=> v129(constB104, bitIndex0))) | (~((~v90(constB104, bitIndex2)) <=> v129(constB104, bitIndex2)))),
% 7.71/5.63 inference(tautology,[status(thm)],[])).
% 7.71/5.63 tff(13289,plain,
% 7.71/5.63 (~((~v90(constB104, bitIndex2)) <=> v129(constB104, bitIndex2))),
% 7.71/5.63 inference(unit_resolution,[status(thm)],[13288, 13287])).
% 7.71/5.63 tff(13290,plain,
% 7.71/5.63 (((~v90(constB104, bitIndex2)) <=> v129(constB104, bitIndex2)) | v90(constB104, bitIndex2) | (~v129(constB104, bitIndex2))),
% 7.71/5.63 inference(tautology,[status(thm)],[])).
% 7.71/5.63 tff(13291,plain,
% 7.71/5.63 (v90(constB104, bitIndex2)),
% 7.71/5.63 inference(unit_resolution,[status(thm)],[13290, 13289, 13204])).
% 7.71/5.63 tff(13292,plain,
% 7.71/5.63 (((~v90(constB105, bitIndex2)) <=> v90(constB104, bitIndex2)) | v90(constB105, bitIndex2) | (~v90(constB104, bitIndex2))),
% 7.71/5.63 inference(tautology,[status(thm)],[])).
% 7.71/5.63 tff(13293,plain,
% 7.71/5.63 (v90(constB105, bitIndex2)),
% 7.71/5.63 inference(unit_resolution,[status(thm)],[13292, 13291, 10711])).
% 7.71/5.63 tff(13294,plain,
% 7.71/5.63 ((v90(constB105, bitIndex0) | v90(constB105, bitIndex1) | v90(constB105, bitIndex2)) | (~v90(constB105, bitIndex2))),
% 7.71/5.63 inference(tautology,[status(thm)],[])).
% 7.71/5.63 tff(13295,plain,
% 7.71/5.63 (v90(constB105, bitIndex0) | v90(constB105, bitIndex1) | v90(constB105, bitIndex2)),
% 7.71/5.63 inference(unit_resolution,[status(thm)],[13294, 13293])).
% 7.71/5.63 tff(13296,plain,
% 7.71/5.63 ((~(v119(constB105) <=> (~(v90(constB105, bitIndex0) | v90(constB105, bitIndex1) | v90(constB105, bitIndex2))))) | (~v119(constB105)) | (~(v90(constB105, bitIndex0) | v90(constB105, bitIndex1) | v90(constB105, bitIndex2)))),
% 7.71/5.63 inference(tautology,[status(thm)],[])).
% 7.71/5.63 tff(13297,plain,
% 7.71/5.63 (~v119(constB105)),
% 7.71/5.63 inference(unit_resolution,[status(thm)],[13296, 13295, 10675])).
% 7.71/5.63 tff(13298,plain,
% 7.71/5.63 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB105) <=> (~(v90(constB105, bitIndex1) | (~v90(constB105, bitIndex2)) | (~v90(constB105, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB105) <=> (~(v90(constB105, bitIndex1) | (~v90(constB105, bitIndex2)) | (~v90(constB105, bitIndex0))))))),
% 7.71/5.63 inference(rewrite,[status(thm)],[])).
% 7.71/5.63 tff(13299,plain,
% 7.71/5.63 ((v124(constB105) <=> (~(v90(constB105, bitIndex1) | (~v90(constB105, bitIndex0)) | (~v90(constB105, bitIndex2))))) <=> (v124(constB105) <=> (~(v90(constB105, bitIndex1) | (~v90(constB105, bitIndex2)) | (~v90(constB105, bitIndex0)))))),
% 7.71/5.63 inference(rewrite,[status(thm)],[])).
% 7.71/5.63 tff(13300,plain,
% 7.71/5.63 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB105) <=> (~(v90(constB105, bitIndex1) | (~v90(constB105, bitIndex0)) | (~v90(constB105, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB105) <=> (~(v90(constB105, bitIndex1) | (~v90(constB105, bitIndex2)) | (~v90(constB105, bitIndex0))))))),
% 7.71/5.63 inference(monotonicity,[status(thm)],[13299])).
% 7.71/5.63 tff(13301,plain,
% 7.71/5.63 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB105) <=> (~(v90(constB105, bitIndex1) | (~v90(constB105, bitIndex0)) | (~v90(constB105, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB105) <=> (~(v90(constB105, bitIndex1) | (~v90(constB105, bitIndex2)) | (~v90(constB105, bitIndex0))))))),
% 7.71/5.64 inference(transitivity,[status(thm)],[13300, 13298])).
% 7.71/5.64 tff(13302,plain,
% 7.71/5.64 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB105) <=> (~(v90(constB105, bitIndex1) | (~v90(constB105, bitIndex0)) | (~v90(constB105, bitIndex2)))))),
% 7.71/5.64 inference(quant_inst,[status(thm)],[])).
% 7.71/5.64 tff(13303,plain,
% 7.71/5.64 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB105) <=> (~(v90(constB105, bitIndex1) | (~v90(constB105, bitIndex2)) | (~v90(constB105, bitIndex0)))))),
% 7.71/5.64 inference(modus_ponens,[status(thm)],[13302, 13301])).
% 7.71/5.64 tff(13304,plain,
% 7.71/5.64 (v124(constB105) <=> (~(v90(constB105, bitIndex1) | (~v90(constB105, bitIndex2)) | (~v90(constB105, bitIndex0))))),
% 7.71/5.64 inference(unit_resolution,[status(thm)],[13303, 3613])).
% 7.71/5.64 tff(13305,plain,
% 7.71/5.64 ((((~v90(constB105, bitIndex1)) <=> v90(constB104, bitIndex1)) | ((~v90(constB105, bitIndex2)) <=> v90(constB104, bitIndex2)) | ((~v90(constB105, bitIndex0)) <=> v90(constB104, bitIndex0))) | (~((~v90(constB105, bitIndex1)) <=> v90(constB104, bitIndex1)))),
% 7.71/5.64 inference(tautology,[status(thm)],[])).
% 7.71/5.64 tff(13306,plain,
% 7.71/5.64 (~((~v90(constB105, bitIndex1)) <=> v90(constB104, bitIndex1))),
% 7.71/5.64 inference(unit_resolution,[status(thm)],[13305, 10709])).
% 7.71/5.64 tff(13307,plain,
% 7.71/5.64 ((((~v129(constB104, bitIndex2)) <=> v127(constB103, bitIndex2)) | ((~v129(constB104, bitIndex1)) <=> v127(constB103, bitIndex1)) | ((~v129(constB104, bitIndex0)) <=> v127(constB103, bitIndex0))) | (~((~v129(constB104, bitIndex1)) <=> v127(constB103, bitIndex1)))),
% 7.71/5.64 inference(tautology,[status(thm)],[])).
% 7.71/5.64 tff(13308,plain,
% 7.71/5.64 (~((~v129(constB104, bitIndex1)) <=> v127(constB103, bitIndex1))),
% 7.71/5.64 inference(unit_resolution,[status(thm)],[13307, 10718])).
% 7.71/5.64 tff(13309,plain,
% 7.71/5.64 ((((~v127(constB103, bitIndex2)) <=> v130(constB103, bitIndex2)) | ((~v127(constB103, bitIndex1)) <=> v130(constB103, bitIndex1)) | ((~v127(constB103, bitIndex0)) <=> v130(constB103, bitIndex0))) | (~((~v127(constB103, bitIndex1)) <=> v130(constB103, bitIndex1)))),
% 7.71/5.64 inference(tautology,[status(thm)],[])).
% 7.71/5.64 tff(13310,plain,
% 7.71/5.64 (~((~v127(constB103, bitIndex1)) <=> v130(constB103, bitIndex1))),
% 7.71/5.64 inference(unit_resolution,[status(thm)],[13309, 10732])).
% 7.71/5.64 tff(13311,plain,
% 7.71/5.64 ((v130(constB103, bitIndex0) | (~v130(constB103, bitIndex2)) | (~v130(constB103, bitIndex1))) | v130(constB103, bitIndex1)),
% 7.71/5.64 inference(tautology,[status(thm)],[])).
% 7.71/5.64 tff(13312,plain,
% 7.71/5.64 (v130(constB103, bitIndex1)),
% 7.71/5.64 inference(unit_resolution,[status(thm)],[13311, 13198])).
% 7.71/5.64 tff(13313,plain,
% 7.71/5.64 (((~v127(constB103, bitIndex1)) <=> v130(constB103, bitIndex1)) | v127(constB103, bitIndex1) | (~v130(constB103, bitIndex1))),
% 7.71/5.64 inference(tautology,[status(thm)],[])).
% 7.71/5.64 tff(13314,plain,
% 7.71/5.64 (v127(constB103, bitIndex1)),
% 7.71/5.64 inference(unit_resolution,[status(thm)],[13313, 13312, 13310])).
% 7.71/5.64 tff(13315,plain,
% 7.71/5.64 (((~v129(constB104, bitIndex1)) <=> v127(constB103, bitIndex1)) | v129(constB104, bitIndex1) | (~v127(constB103, bitIndex1))),
% 7.71/5.64 inference(tautology,[status(thm)],[])).
% 7.71/5.64 tff(13316,plain,
% 7.71/5.64 (v129(constB104, bitIndex1)),
% 7.71/5.64 inference(unit_resolution,[status(thm)],[13315, 13314, 13308])).
% 7.71/5.64 tff(13317,plain,
% 7.71/5.64 ((((~v90(constB104, bitIndex2)) <=> v129(constB104, bitIndex2)) | ((~v90(constB104, bitIndex1)) <=> v129(constB104, bitIndex1)) | ((~v90(constB104, bitIndex0)) <=> v129(constB104, bitIndex0))) | (~((~v90(constB104, bitIndex1)) <=> v129(constB104, bitIndex1)))),
% 7.71/5.64 inference(tautology,[status(thm)],[])).
% 7.71/5.64 tff(13318,plain,
% 7.71/5.64 (~((~v90(constB104, bitIndex1)) <=> v129(constB104, bitIndex1))),
% 7.71/5.64 inference(unit_resolution,[status(thm)],[13317, 13287])).
% 7.71/5.64 tff(13319,plain,
% 7.71/5.64 (((~v90(constB104, bitIndex1)) <=> v129(constB104, bitIndex1)) | v90(constB104, bitIndex1) | (~v129(constB104, bitIndex1))),
% 7.71/5.64 inference(tautology,[status(thm)],[])).
% 7.71/5.64 tff(13320,plain,
% 7.71/5.64 (v90(constB104, bitIndex1)),
% 7.71/5.64 inference(unit_resolution,[status(thm)],[13319, 13318, 13316])).
% 7.71/5.64 tff(13321,plain,
% 7.71/5.64 (((~v90(constB105, bitIndex1)) <=> v90(constB104, bitIndex1)) | v90(constB105, bitIndex1) | (~v90(constB104, bitIndex1))),
% 7.71/5.64 inference(tautology,[status(thm)],[])).
% 7.71/5.64 tff(13322,plain,
% 7.71/5.64 (v90(constB105, bitIndex1)),
% 7.71/5.64 inference(unit_resolution,[status(thm)],[13321, 13320, 13306])).
% 7.71/5.64 tff(13323,plain,
% 7.71/5.64 ((v90(constB105, bitIndex1) | (~v90(constB105, bitIndex2)) | (~v90(constB105, bitIndex0))) | (~v90(constB105, bitIndex1))),
% 7.71/5.64 inference(tautology,[status(thm)],[])).
% 7.71/5.64 tff(13324,plain,
% 7.71/5.64 (v90(constB105, bitIndex1) | (~v90(constB105, bitIndex2)) | (~v90(constB105, bitIndex0))),
% 7.71/5.64 inference(unit_resolution,[status(thm)],[13323, 13322])).
% 7.71/5.64 tff(13325,plain,
% 7.71/5.64 ((~(v124(constB105) <=> (~(v90(constB105, bitIndex1) | (~v90(constB105, bitIndex2)) | (~v90(constB105, bitIndex0)))))) | (~v124(constB105)) | (~(v90(constB105, bitIndex1) | (~v90(constB105, bitIndex2)) | (~v90(constB105, bitIndex0))))),
% 7.71/5.64 inference(tautology,[status(thm)],[])).
% 7.71/5.64 tff(13326,plain,
% 7.71/5.64 (~v124(constB105)),
% 7.71/5.64 inference(unit_resolution,[status(thm)],[13325, 13324, 13304])).
% 7.71/5.64 tff(13327,plain,
% 7.71/5.64 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB105) <=> (~(v90(constB105, bitIndex1) | v90(constB105, bitIndex0) | (~v90(constB105, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB105) <=> (~(v90(constB105, bitIndex1) | v90(constB105, bitIndex0) | (~v90(constB105, bitIndex2))))))),
% 7.71/5.64 inference(rewrite,[status(thm)],[])).
% 7.71/5.64 tff(13328,plain,
% 7.71/5.64 ((v123(constB105) <=> (~(v90(constB105, bitIndex0) | v90(constB105, bitIndex1) | (~v90(constB105, bitIndex2))))) <=> (v123(constB105) <=> (~(v90(constB105, bitIndex1) | v90(constB105, bitIndex0) | (~v90(constB105, bitIndex2)))))),
% 7.71/5.64 inference(rewrite,[status(thm)],[])).
% 7.71/5.64 tff(13329,plain,
% 7.71/5.64 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB105) <=> (~(v90(constB105, bitIndex0) | v90(constB105, bitIndex1) | (~v90(constB105, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB105) <=> (~(v90(constB105, bitIndex1) | v90(constB105, bitIndex0) | (~v90(constB105, bitIndex2))))))),
% 7.71/5.64 inference(monotonicity,[status(thm)],[13328])).
% 7.71/5.64 tff(13330,plain,
% 7.71/5.64 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB105) <=> (~(v90(constB105, bitIndex0) | v90(constB105, bitIndex1) | (~v90(constB105, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB105) <=> (~(v90(constB105, bitIndex1) | v90(constB105, bitIndex0) | (~v90(constB105, bitIndex2))))))),
% 7.71/5.64 inference(transitivity,[status(thm)],[13329, 13327])).
% 7.71/5.64 tff(13331,plain,
% 7.71/5.64 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB105) <=> (~(v90(constB105, bitIndex0) | v90(constB105, bitIndex1) | (~v90(constB105, bitIndex2)))))),
% 7.71/5.64 inference(quant_inst,[status(thm)],[])).
% 7.71/5.64 tff(13332,plain,
% 7.71/5.64 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB105) <=> (~(v90(constB105, bitIndex1) | v90(constB105, bitIndex0) | (~v90(constB105, bitIndex2)))))),
% 7.71/5.64 inference(modus_ponens,[status(thm)],[13331, 13330])).
% 7.71/5.64 tff(13333,plain,
% 7.71/5.64 (v123(constB105) <=> (~(v90(constB105, bitIndex1) | v90(constB105, bitIndex0) | (~v90(constB105, bitIndex2))))),
% 7.71/5.64 inference(unit_resolution,[status(thm)],[13332, 800])).
% 7.71/5.64 tff(13334,plain,
% 7.71/5.64 ((v90(constB105, bitIndex1) | v90(constB105, bitIndex0) | (~v90(constB105, bitIndex2))) | (~v90(constB105, bitIndex1))),
% 7.71/5.64 inference(tautology,[status(thm)],[])).
% 7.71/5.64 tff(13335,plain,
% 7.71/5.64 (v90(constB105, bitIndex1) | v90(constB105, bitIndex0) | (~v90(constB105, bitIndex2))),
% 7.71/5.64 inference(unit_resolution,[status(thm)],[13334, 13322])).
% 7.71/5.64 tff(13336,plain,
% 7.71/5.64 ((~(v123(constB105) <=> (~(v90(constB105, bitIndex1) | v90(constB105, bitIndex0) | (~v90(constB105, bitIndex2)))))) | (~v123(constB105)) | (~(v90(constB105, bitIndex1) | v90(constB105, bitIndex0) | (~v90(constB105, bitIndex2))))),
% 7.71/5.64 inference(tautology,[status(thm)],[])).
% 7.71/5.64 tff(13337,plain,
% 7.71/5.64 (~v123(constB105)),
% 7.71/5.64 inference(unit_resolution,[status(thm)],[13336, 13335, 13333])).
% 7.71/5.64 tff(13338,plain,
% 7.71/5.64 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB105) <=> (~(v90(constB105, bitIndex2) | (~v90(constB105, bitIndex1)) | (~v90(constB105, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB105) <=> (~(v90(constB105, bitIndex2) | (~v90(constB105, bitIndex1)) | (~v90(constB105, bitIndex0))))))),
% 7.71/5.64 inference(rewrite,[status(thm)],[])).
% 7.71/5.64 tff(13339,plain,
% 7.71/5.64 ((v122(constB105) <=> (~(v90(constB105, bitIndex2) | (~v90(constB105, bitIndex0)) | (~v90(constB105, bitIndex1))))) <=> (v122(constB105) <=> (~(v90(constB105, bitIndex2) | (~v90(constB105, bitIndex1)) | (~v90(constB105, bitIndex0)))))),
% 7.71/5.64 inference(rewrite,[status(thm)],[])).
% 7.71/5.64 tff(13340,plain,
% 7.71/5.64 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB105) <=> (~(v90(constB105, bitIndex2) | (~v90(constB105, bitIndex0)) | (~v90(constB105, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB105) <=> (~(v90(constB105, bitIndex2) | (~v90(constB105, bitIndex1)) | (~v90(constB105, bitIndex0))))))),
% 7.71/5.64 inference(monotonicity,[status(thm)],[13339])).
% 7.71/5.64 tff(13341,plain,
% 7.71/5.64 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB105) <=> (~(v90(constB105, bitIndex2) | (~v90(constB105, bitIndex0)) | (~v90(constB105, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB105) <=> (~(v90(constB105, bitIndex2) | (~v90(constB105, bitIndex1)) | (~v90(constB105, bitIndex0))))))),
% 7.71/5.64 inference(transitivity,[status(thm)],[13340, 13338])).
% 7.71/5.64 tff(13342,plain,
% 7.71/5.64 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB105) <=> (~(v90(constB105, bitIndex2) | (~v90(constB105, bitIndex0)) | (~v90(constB105, bitIndex1)))))),
% 7.71/5.64 inference(quant_inst,[status(thm)],[])).
% 7.71/5.64 tff(13343,plain,
% 7.71/5.64 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB105) <=> (~(v90(constB105, bitIndex2) | (~v90(constB105, bitIndex1)) | (~v90(constB105, bitIndex0)))))),
% 7.71/5.64 inference(modus_ponens,[status(thm)],[13342, 13341])).
% 7.71/5.64 tff(13344,plain,
% 7.71/5.64 (v122(constB105) <=> (~(v90(constB105, bitIndex2) | (~v90(constB105, bitIndex1)) | (~v90(constB105, bitIndex0))))),
% 7.71/5.64 inference(unit_resolution,[status(thm)],[13343, 879])).
% 7.71/5.64 tff(13345,plain,
% 7.71/5.64 ((v90(constB105, bitIndex2) | (~v90(constB105, bitIndex1)) | (~v90(constB105, bitIndex0))) | (~v90(constB105, bitIndex2))),
% 7.71/5.64 inference(tautology,[status(thm)],[])).
% 7.71/5.64 tff(13346,plain,
% 7.71/5.64 (v90(constB105, bitIndex2) | (~v90(constB105, bitIndex1)) | (~v90(constB105, bitIndex0))),
% 7.71/5.64 inference(unit_resolution,[status(thm)],[13345, 13293])).
% 7.71/5.64 tff(13347,plain,
% 7.71/5.64 ((~(v122(constB105) <=> (~(v90(constB105, bitIndex2) | (~v90(constB105, bitIndex1)) | (~v90(constB105, bitIndex0)))))) | (~v122(constB105)) | (~(v90(constB105, bitIndex2) | (~v90(constB105, bitIndex1)) | (~v90(constB105, bitIndex0))))),
% 7.71/5.64 inference(tautology,[status(thm)],[])).
% 7.71/5.64 tff(13348,plain,
% 7.71/5.64 (~v122(constB105)),
% 7.71/5.64 inference(unit_resolution,[status(thm)],[13347, 13346, 13344])).
% 7.71/5.64 tff(13349,plain,
% 7.71/5.64 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB105) <=> (~(v90(constB105, bitIndex2) | v90(constB105, bitIndex0) | (~v90(constB105, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB105) <=> (~(v90(constB105, bitIndex2) | v90(constB105, bitIndex0) | (~v90(constB105, bitIndex1))))))),
% 7.71/5.64 inference(rewrite,[status(thm)],[])).
% 7.71/5.64 tff(13350,plain,
% 7.71/5.64 ((v121(constB105) <=> (~(v90(constB105, bitIndex0) | v90(constB105, bitIndex2) | (~v90(constB105, bitIndex1))))) <=> (v121(constB105) <=> (~(v90(constB105, bitIndex2) | v90(constB105, bitIndex0) | (~v90(constB105, bitIndex1)))))),
% 7.71/5.64 inference(rewrite,[status(thm)],[])).
% 7.71/5.64 tff(13351,plain,
% 7.71/5.64 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB105) <=> (~(v90(constB105, bitIndex0) | v90(constB105, bitIndex2) | (~v90(constB105, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB105) <=> (~(v90(constB105, bitIndex2) | v90(constB105, bitIndex0) | (~v90(constB105, bitIndex1))))))),
% 7.71/5.64 inference(monotonicity,[status(thm)],[13350])).
% 7.71/5.64 tff(13352,plain,
% 7.71/5.64 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB105) <=> (~(v90(constB105, bitIndex0) | v90(constB105, bitIndex2) | (~v90(constB105, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB105) <=> (~(v90(constB105, bitIndex2) | v90(constB105, bitIndex0) | (~v90(constB105, bitIndex1))))))),
% 7.71/5.64 inference(transitivity,[status(thm)],[13351, 13349])).
% 7.71/5.64 tff(13353,plain,
% 7.71/5.64 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB105) <=> (~(v90(constB105, bitIndex0) | v90(constB105, bitIndex2) | (~v90(constB105, bitIndex1)))))),
% 7.71/5.64 inference(quant_inst,[status(thm)],[])).
% 7.71/5.64 tff(13354,plain,
% 7.71/5.64 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB105) <=> (~(v90(constB105, bitIndex2) | v90(constB105, bitIndex0) | (~v90(constB105, bitIndex1)))))),
% 7.71/5.64 inference(modus_ponens,[status(thm)],[13353, 13352])).
% 7.71/5.64 tff(13355,plain,
% 7.71/5.64 (v121(constB105) <=> (~(v90(constB105, bitIndex2) | v90(constB105, bitIndex0) | (~v90(constB105, bitIndex1))))),
% 7.71/5.64 inference(unit_resolution,[status(thm)],[13354, 586])).
% 7.71/5.64 tff(13356,plain,
% 7.71/5.64 ((v90(constB105, bitIndex2) | v90(constB105, bitIndex0) | (~v90(constB105, bitIndex1))) | (~v90(constB105, bitIndex2))),
% 7.71/5.64 inference(tautology,[status(thm)],[])).
% 7.71/5.64 tff(13357,plain,
% 7.71/5.64 (v90(constB105, bitIndex2) | v90(constB105, bitIndex0) | (~v90(constB105, bitIndex1))),
% 7.71/5.64 inference(unit_resolution,[status(thm)],[13356, 13293])).
% 7.71/5.64 tff(13358,plain,
% 7.71/5.64 ((~(v121(constB105) <=> (~(v90(constB105, bitIndex2) | v90(constB105, bitIndex0) | (~v90(constB105, bitIndex1)))))) | (~v121(constB105)) | (~(v90(constB105, bitIndex2) | v90(constB105, bitIndex0) | (~v90(constB105, bitIndex1))))),
% 7.71/5.64 inference(tautology,[status(thm)],[])).
% 7.71/5.64 tff(13359,plain,
% 7.71/5.64 (~v121(constB105)),
% 7.71/5.64 inference(unit_resolution,[status(thm)],[13358, 13357, 13355])).
% 7.71/5.64 tff(13360,plain,
% 7.71/5.64 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB105) <=> (~(v90(constB105, bitIndex1) | v90(constB105, bitIndex2) | (~v90(constB105, bitIndex0)))))),
% 7.71/5.64 inference(quant_inst,[status(thm)],[])).
% 7.71/5.64 tff(13361,plain,
% 7.71/5.64 (v120(constB105) <=> (~(v90(constB105, bitIndex1) | v90(constB105, bitIndex2) | (~v90(constB105, bitIndex0))))),
% 7.71/5.64 inference(unit_resolution,[status(thm)],[13360, 665])).
% 7.71/5.64 tff(13362,plain,
% 7.71/5.64 ((v90(constB105, bitIndex1) | v90(constB105, bitIndex2) | (~v90(constB105, bitIndex0))) | (~v90(constB105, bitIndex2))),
% 7.71/5.64 inference(tautology,[status(thm)],[])).
% 7.71/5.64 tff(13363,plain,
% 7.71/5.64 (v90(constB105, bitIndex1) | v90(constB105, bitIndex2) | (~v90(constB105, bitIndex0))),
% 7.71/5.64 inference(unit_resolution,[status(thm)],[13362, 13293])).
% 7.71/5.64 tff(13364,plain,
% 7.71/5.64 ((~(v120(constB105) <=> (~(v90(constB105, bitIndex1) | v90(constB105, bitIndex2) | (~v90(constB105, bitIndex0)))))) | (~v120(constB105)) | (~(v90(constB105, bitIndex1) | v90(constB105, bitIndex2) | (~v90(constB105, bitIndex0))))),
% 7.71/5.64 inference(tautology,[status(thm)],[])).
% 7.71/5.64 tff(13365,plain,
% 7.71/5.64 (~v120(constB105)),
% 7.71/5.64 inference(unit_resolution,[status(thm)],[13364, 13363, 13361])).
% 7.71/5.64 tff(13366,plain,
% 7.71/5.64 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v119(constB105) | v120(constB105) | v121(constB105) | v122(constB105) | v123(constB105) | v124(constB105) | (~(v130(constB105, bitIndex2) | v130(constB105, bitIndex1) | (~v130(constB105, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | v119(constB105) | v120(constB105) | v121(constB105) | v122(constB105) | v123(constB105) | v124(constB105) | (~(v130(constB105, bitIndex2) | v130(constB105, bitIndex1) | (~v130(constB105, bitIndex0)))))),
% 7.71/5.64 inference(rewrite,[status(thm)],[])).
% 7.71/5.64 tff(13367,plain,
% 7.71/5.64 ((v124(constB105) | v123(constB105) | v122(constB105) | v121(constB105) | v120(constB105) | v119(constB105) | (~(v130(constB105, bitIndex2) | v130(constB105, bitIndex1) | (~v130(constB105, bitIndex0))))) <=> (v119(constB105) | v120(constB105) | v121(constB105) | v122(constB105) | v123(constB105) | v124(constB105) | (~(v130(constB105, bitIndex2) | v130(constB105, bitIndex1) | (~v130(constB105, bitIndex0)))))),
% 7.71/5.64 inference(rewrite,[status(thm)],[])).
% 7.71/5.64 tff(13368,plain,
% 7.71/5.64 ((~(v130(constB105, bitIndex1) | v130(constB105, bitIndex2) | (~v130(constB105, bitIndex0)))) <=> (~(v130(constB105, bitIndex2) | v130(constB105, bitIndex1) | (~v130(constB105, bitIndex0))))),
% 7.71/5.64 inference(rewrite,[status(thm)],[])).
% 7.71/5.64 tff(13369,plain,
% 7.71/5.64 ((v124(constB105) | v123(constB105) | v122(constB105) | v121(constB105) | v120(constB105) | v119(constB105) | (~(v130(constB105, bitIndex1) | v130(constB105, bitIndex2) | (~v130(constB105, bitIndex0))))) <=> (v124(constB105) | v123(constB105) | v122(constB105) | v121(constB105) | v120(constB105) | v119(constB105) | (~(v130(constB105, bitIndex2) | v130(constB105, bitIndex1) | (~v130(constB105, bitIndex0)))))),
% 7.71/5.64 inference(monotonicity,[status(thm)],[13368])).
% 7.71/5.64 tff(13370,plain,
% 7.71/5.64 ((v124(constB105) | v123(constB105) | v122(constB105) | v121(constB105) | v120(constB105) | v119(constB105) | (~(v130(constB105, bitIndex1) | v130(constB105, bitIndex2) | (~v130(constB105, bitIndex0))))) <=> (v119(constB105) | v120(constB105) | v121(constB105) | v122(constB105) | v123(constB105) | v124(constB105) | (~(v130(constB105, bitIndex2) | v130(constB105, bitIndex1) | (~v130(constB105, bitIndex0)))))),
% 7.71/5.64 inference(transitivity,[status(thm)],[13369, 13367])).
% 7.71/5.64 tff(13371,plain,
% 7.71/5.64 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB105) | v123(constB105) | v122(constB105) | v121(constB105) | v120(constB105) | v119(constB105) | (~(v130(constB105, bitIndex1) | v130(constB105, bitIndex2) | (~v130(constB105, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v119(constB105) | v120(constB105) | v121(constB105) | v122(constB105) | v123(constB105) | v124(constB105) | (~(v130(constB105, bitIndex2) | v130(constB105, bitIndex1) | (~v130(constB105, bitIndex0))))))),
% 7.71/5.64 inference(monotonicity,[status(thm)],[13370])).
% 7.71/5.64 tff(13372,plain,
% 7.71/5.64 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB105) | v123(constB105) | v122(constB105) | v121(constB105) | v120(constB105) | v119(constB105) | (~(v130(constB105, bitIndex1) | v130(constB105, bitIndex2) | (~v130(constB105, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | v119(constB105) | v120(constB105) | v121(constB105) | v122(constB105) | v123(constB105) | v124(constB105) | (~(v130(constB105, bitIndex2) | v130(constB105, bitIndex1) | (~v130(constB105, bitIndex0)))))),
% 7.71/5.64 inference(transitivity,[status(thm)],[13371, 13366])).
% 7.71/5.64 tff(13373,plain,
% 7.71/5.64 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB105) | v123(constB105) | v122(constB105) | v121(constB105) | v120(constB105) | v119(constB105) | (~(v130(constB105, bitIndex1) | v130(constB105, bitIndex2) | (~v130(constB105, bitIndex0)))))),
% 7.71/5.64 inference(quant_inst,[status(thm)],[])).
% 7.71/5.64 tff(13374,plain,
% 7.71/5.64 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | v119(constB105) | v120(constB105) | v121(constB105) | v122(constB105) | v123(constB105) | v124(constB105) | (~(v130(constB105, bitIndex2) | v130(constB105, bitIndex1) | (~v130(constB105, bitIndex0))))),
% 7.71/5.64 inference(modus_ponens,[status(thm)],[13373, 13372])).
% 7.71/5.64 tff(13375,plain,
% 7.71/5.64 (v119(constB105) | v120(constB105) | v121(constB105) | v122(constB105) | v123(constB105) | v124(constB105) | (~(v130(constB105, bitIndex2) | v130(constB105, bitIndex1) | (~v130(constB105, bitIndex0))))),
% 7.71/5.64 inference(unit_resolution,[status(thm)],[13374, 3694])).
% 7.71/5.64 tff(13376,plain,
% 7.71/5.64 (~(v130(constB105, bitIndex2) | v130(constB105, bitIndex1) | (~v130(constB105, bitIndex0)))),
% 7.71/5.64 inference(unit_resolution,[status(thm)],[13375, 13365, 13359, 13348, 13337, 13326, 13297])).
% 7.71/5.64 tff(13377,plain,
% 7.71/5.64 ((v130(constB105, bitIndex2) | v130(constB105, bitIndex1) | (~v130(constB105, bitIndex0))) | (~v130(constB105, bitIndex2))),
% 7.71/5.64 inference(tautology,[status(thm)],[])).
% 7.71/5.64 tff(13378,plain,
% 7.71/5.64 (~v130(constB105, bitIndex2)),
% 7.71/5.64 inference(unit_resolution,[status(thm)],[13377, 13376])).
% 7.71/5.64 tff(13379,plain,
% 7.71/5.64 (((~v127(constB105, bitIndex2)) <=> v130(constB105, bitIndex2)) | (~v127(constB105, bitIndex2)) | v130(constB105, bitIndex2)),
% 7.71/5.64 inference(tautology,[status(thm)],[])).
% 7.71/5.64 tff(13380,plain,
% 7.71/5.64 (~v127(constB105, bitIndex2)),
% 7.71/5.64 inference(unit_resolution,[status(thm)],[13379, 13378, 10673])).
% 7.71/5.64 tff(13381,plain,
% 7.71/5.64 (((~v129(constB106, bitIndex2)) <=> v127(constB105, bitIndex2)) | (~v129(constB106, bitIndex2)) | v127(constB105, bitIndex2)),
% 7.71/5.64 inference(tautology,[status(thm)],[])).
% 7.71/5.64 tff(13382,plain,
% 7.71/5.64 (~v129(constB106, bitIndex2)),
% 7.71/5.64 inference(unit_resolution,[status(thm)],[13381, 13380, 10659])).
% 7.71/5.64 tff(13383,plain,
% 7.71/5.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB105, constB106)) | (v100(constB106) <=> (~((~v101(constB106)) | (~v110(constB106))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB105, constB106)) | (v100(constB106) <=> (~((~v101(constB106)) | (~v110(constB106))))))),
% 7.71/5.64 inference(rewrite,[status(thm)],[])).
% 7.71/5.64 tff(13384,plain,
% 7.71/5.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB105, constB106)) | (v100(constB106) <=> (~((~v101(constB106)) | (~v110(constB106))))))),
% 7.71/5.64 inference(quant_inst,[status(thm)],[])).
% 7.71/5.64 tff(13385,plain,
% 7.71/5.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB105, constB106)) | (v100(constB106) <=> (~((~v101(constB106)) | (~v110(constB106)))))),
% 7.71/5.64 inference(modus_ponens,[status(thm)],[13384, 13383])).
% 7.71/5.64 tff(13386,plain,
% 7.71/5.64 (v100(constB106) <=> (~((~v101(constB106)) | (~v110(constB106))))),
% 7.71/5.64 inference(unit_resolution,[status(thm)],[13385, 10653, 445])).
% 7.71/5.64 tff(13387,plain,
% 7.71/5.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB105, constB106)) | (v101(constB106) <=> (~((~v1(constB106)) | (~v102(constB106))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB105, constB106)) | (v101(constB106) <=> (~((~v1(constB106)) | (~v102(constB106))))))),
% 7.71/5.64 inference(rewrite,[status(thm)],[])).
% 7.71/5.64 tff(13388,plain,
% 7.71/5.64 (((~nextState(constB105, constB106)) | (v101(constB106) <=> (~((~v102(constB106)) | (~v1(constB106)))))) <=> ((~nextState(constB105, constB106)) | (v101(constB106) <=> (~((~v1(constB106)) | (~v102(constB106))))))),
% 7.71/5.64 inference(rewrite,[status(thm)],[])).
% 7.71/5.64 tff(13389,plain,
% 7.71/5.64 (((~![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) <=> (~((~v1(constB106)) | (~v102(constB106)))))))),
% 7.71/5.64 inference(monotonicity,[status(thm)],[13388])).
% 7.71/5.64 tff(13390,plain,
% 7.71/5.64 (((~![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) <=> (~((~v1(constB106)) | (~v102(constB106))))))),
% 7.71/5.64 inference(transitivity,[status(thm)],[13389, 13387])).
% 7.71/5.64 tff(13391,plain,
% 7.71/5.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB105, constB106)) | (v101(constB106) <=> (~((~v102(constB106)) | (~v1(constB106))))))),
% 7.71/5.64 inference(quant_inst,[status(thm)],[])).
% 7.71/5.64 tff(13392,plain,
% 7.71/5.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB105, constB106)) | (v101(constB106) <=> (~((~v1(constB106)) | (~v102(constB106)))))),
% 7.71/5.64 inference(modus_ponens,[status(thm)],[13391, 13390])).
% 7.71/5.64 tff(13393,plain,
% 7.71/5.64 (v101(constB106) <=> (~((~v1(constB106)) | (~v102(constB106))))),
% 7.71/5.64 inference(unit_resolution,[status(thm)],[13392, 10653, 465])).
% 7.71/5.64 tff(13394,plain,
% 7.71/5.64 (((~![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)))),
% 7.71/5.64 inference(rewrite,[status(thm)],[])).
% 7.71/5.64 tff(13395,plain,
% 7.71/5.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB105, constB106)) | ((~v102(constB106)) <=> v104(constB106)))),
% 7.71/5.64 inference(quant_inst,[status(thm)],[])).
% 7.71/5.64 tff(13396,plain,
% 7.71/5.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB105, constB106)) | ((~v102(constB106)) <=> v104(constB106))),
% 7.71/5.64 inference(modus_ponens,[status(thm)],[13395, 13394])).
% 7.71/5.64 tff(13397,plain,
% 7.71/5.64 ((~v102(constB106)) <=> v104(constB106)),
% 7.71/5.64 inference(unit_resolution,[status(thm)],[13396, 10653, 3244])).
% 7.71/5.64 tff(13398,plain,
% 7.71/5.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB105, constB106)) | (v104(constB106) <=> v1(constB105)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB105, constB106)) | (v104(constB106) <=> v1(constB105)))),
% 7.71/5.64 inference(rewrite,[status(thm)],[])).
% 7.71/5.64 tff(13399,plain,
% 7.71/5.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB105, constB106)) | (v104(constB106) <=> v1(constB105)))),
% 7.71/5.64 inference(quant_inst,[status(thm)],[])).
% 7.71/5.64 tff(13400,plain,
% 7.71/5.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB105, constB106)) | (v104(constB106) <=> v1(constB105))),
% 7.71/5.64 inference(modus_ponens,[status(thm)],[13399, 13398])).
% 7.71/5.64 tff(13401,plain,
% 7.71/5.64 (v104(constB106) <=> v1(constB105)),
% 7.71/5.64 inference(unit_resolution,[status(thm)],[13400, 10653, 3258])).
% 7.71/5.64 tff(13402,plain,
% 7.71/5.64 ((~(v104(constB106) <=> v1(constB105))) | (~v104(constB106)) | v1(constB105)),
% 7.71/5.64 inference(tautology,[status(thm)],[])).
% 7.71/5.64 tff(13403,plain,
% 7.71/5.64 ((~(v104(constB106) <=> v1(constB105))) | (~v104(constB106))),
% 7.71/5.64 inference(unit_resolution,[status(thm)],[13402, 10692])).
% 7.71/5.64 tff(13404,plain,
% 7.71/5.64 (~v104(constB106)),
% 7.71/5.64 inference(unit_resolution,[status(thm)],[13403, 13401])).
% 7.71/5.64 tff(13405,plain,
% 7.71/5.64 ((~((~v102(constB106)) <=> v104(constB106))) | v102(constB106) | v104(constB106)),
% 7.71/5.64 inference(tautology,[status(thm)],[])).
% 7.71/5.64 tff(13406,plain,
% 7.71/5.64 (v102(constB106)),
% 7.71/5.64 inference(unit_resolution,[status(thm)],[13405, 13404, 13397])).
% 7.71/5.64 tff(13407,plain,
% 7.71/5.64 (v1(constB106) <=> v1(constB106)),
% 7.71/5.64 inference(rewrite,[status(thm)],[])).
% 7.71/5.64 tff(13408,axiom,(v1(constB106)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_106')).
% 7.71/5.64 tff(13409,plain,
% 7.71/5.64 (v1(constB106)),
% 7.71/5.64 inference(modus_ponens,[status(thm)],[13408, 13407])).
% 7.71/5.64 tff(13410,plain,
% 7.71/5.64 ((~((~v1(constB106)) | (~v102(constB106)))) | (~v1(constB106)) | (~v102(constB106))),
% 7.71/5.64 inference(tautology,[status(thm)],[])).
% 7.71/5.64 tff(13411,plain,
% 7.71/5.64 ((~((~v1(constB106)) | (~v102(constB106)))) | (~v102(constB106))),
% 7.71/5.64 inference(unit_resolution,[status(thm)],[13410, 13409])).
% 7.71/5.64 tff(13412,plain,
% 7.71/5.64 (~((~v1(constB106)) | (~v102(constB106)))),
% 7.71/5.64 inference(unit_resolution,[status(thm)],[13411, 13406])).
% 7.71/5.64 tff(13413,plain,
% 7.71/5.64 ((~(v101(constB106) <=> (~((~v1(constB106)) | (~v102(constB106)))))) | v101(constB106) | ((~v1(constB106)) | (~v102(constB106)))),
% 7.71/5.64 inference(tautology,[status(thm)],[])).
% 7.71/5.64 tff(13414,plain,
% 7.71/5.64 (v101(constB106)),
% 7.71/5.64 inference(unit_resolution,[status(thm)],[13413, 13412, 13393])).
% 7.71/5.64 tff(13415,plain,
% 7.71/5.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB105, constB106)) | (v110(constB106) <=> v108(constB105)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB105, constB106)) | (v110(constB106) <=> v108(constB105)))),
% 7.71/5.64 inference(rewrite,[status(thm)],[])).
% 7.71/5.64 tff(13416,plain,
% 7.71/5.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB105, constB106)) | (v110(constB106) <=> v108(constB105)))),
% 7.71/5.64 inference(quant_inst,[status(thm)],[])).
% 7.71/5.64 tff(13417,plain,
% 7.71/5.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB105, constB106)) | (v110(constB106) <=> v108(constB105))),
% 7.71/5.65 inference(modus_ponens,[status(thm)],[13416, 13415])).
% 7.71/5.65 tff(13418,plain,
% 7.71/5.65 (v110(constB106) <=> v108(constB105)),
% 7.71/5.65 inference(unit_resolution,[status(thm)],[13417, 10653, 3285])).
% 7.71/5.65 tff(13419,plain,
% 7.71/5.65 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB105) <=> (v111(constB105) | v112(constB105)))),
% 7.71/5.65 inference(quant_inst,[status(thm)],[])).
% 7.71/5.65 tff(13420,plain,
% 7.71/5.65 (v108(constB105) <=> (v111(constB105) | v112(constB105))),
% 7.71/5.65 inference(unit_resolution,[status(thm)],[13419, 3296])).
% 7.71/5.65 tff(13421,plain,
% 7.71/5.65 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB105) <=> (~((~v113(constB105)) | (~v126(constB105)))))),
% 7.71/5.65 inference(quant_inst,[status(thm)],[])).
% 7.71/5.65 tff(13422,plain,
% 7.71/5.65 (v112(constB105) <=> (~((~v113(constB105)) | (~v126(constB105))))),
% 7.71/5.65 inference(unit_resolution,[status(thm)],[13421, 3308])).
% 7.71/5.65 tff(13423,plain,
% 7.71/5.65 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB105) <=> (v114(constB105) | v125(constB105)))),
% 7.71/5.65 inference(quant_inst,[status(thm)],[])).
% 7.71/5.65 tff(13424,plain,
% 7.71/5.65 (v113(constB105) <=> (v114(constB105) | v125(constB105))),
% 7.71/5.65 inference(unit_resolution,[status(thm)],[13423, 3317])).
% 7.71/5.65 tff(13425,plain,
% 7.71/5.65 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB105) <=> (~(v90(constB105, bitIndex0) | (~v90(constB105, bitIndex1)) | (~v90(constB105, bitIndex2)))))),
% 7.71/5.65 inference(quant_inst,[status(thm)],[])).
% 7.71/5.65 tff(13426,plain,
% 7.71/5.65 (v125(constB105) <=> (~(v90(constB105, bitIndex0) | (~v90(constB105, bitIndex1)) | (~v90(constB105, bitIndex2))))),
% 7.71/5.65 inference(unit_resolution,[status(thm)],[13425, 3766])).
% 7.71/5.65 tff(13427,plain,
% 7.71/5.65 ((((~v90(constB105, bitIndex1)) <=> v90(constB104, bitIndex1)) | ((~v90(constB105, bitIndex2)) <=> v90(constB104, bitIndex2)) | ((~v90(constB105, bitIndex0)) <=> v90(constB104, bitIndex0))) | (~((~v90(constB105, bitIndex0)) <=> v90(constB104, bitIndex0)))),
% 7.71/5.65 inference(tautology,[status(thm)],[])).
% 7.71/5.65 tff(13428,plain,
% 7.71/5.65 (~((~v90(constB105, bitIndex0)) <=> v90(constB104, bitIndex0))),
% 7.71/5.65 inference(unit_resolution,[status(thm)],[13427, 10709])).
% 7.71/5.65 tff(13429,plain,
% 7.71/5.65 ((((~v129(constB104, bitIndex2)) <=> v127(constB103, bitIndex2)) | ((~v129(constB104, bitIndex1)) <=> v127(constB103, bitIndex1)) | ((~v129(constB104, bitIndex0)) <=> v127(constB103, bitIndex0))) | (~((~v129(constB104, bitIndex0)) <=> v127(constB103, bitIndex0)))),
% 7.71/5.65 inference(tautology,[status(thm)],[])).
% 7.71/5.65 tff(13430,plain,
% 7.71/5.65 (~((~v129(constB104, bitIndex0)) <=> v127(constB103, bitIndex0))),
% 7.71/5.65 inference(unit_resolution,[status(thm)],[13429, 10718])).
% 7.71/5.65 tff(13431,plain,
% 7.71/5.65 ((((~v127(constB103, bitIndex2)) <=> v130(constB103, bitIndex2)) | ((~v127(constB103, bitIndex1)) <=> v130(constB103, bitIndex1)) | ((~v127(constB103, bitIndex0)) <=> v130(constB103, bitIndex0))) | (~((~v127(constB103, bitIndex0)) <=> v130(constB103, bitIndex0)))),
% 7.71/5.65 inference(tautology,[status(thm)],[])).
% 7.71/5.65 tff(13432,plain,
% 7.71/5.65 (~((~v127(constB103, bitIndex0)) <=> v130(constB103, bitIndex0))),
% 7.71/5.65 inference(unit_resolution,[status(thm)],[13431, 10732])).
% 7.71/5.65 tff(13433,plain,
% 7.71/5.65 ((v130(constB103, bitIndex0) | (~v130(constB103, bitIndex2)) | (~v130(constB103, bitIndex1))) | (~v130(constB103, bitIndex0))),
% 7.71/5.65 inference(tautology,[status(thm)],[])).
% 7.71/5.65 tff(13434,plain,
% 7.71/5.65 (~v130(constB103, bitIndex0)),
% 7.71/5.65 inference(unit_resolution,[status(thm)],[13433, 13198])).
% 7.71/5.65 tff(13435,plain,
% 7.71/5.65 (((~v127(constB103, bitIndex0)) <=> v130(constB103, bitIndex0)) | (~v127(constB103, bitIndex0)) | v130(constB103, bitIndex0)),
% 7.71/5.65 inference(tautology,[status(thm)],[])).
% 7.71/5.65 tff(13436,plain,
% 7.71/5.65 (~v127(constB103, bitIndex0)),
% 7.71/5.65 inference(unit_resolution,[status(thm)],[13435, 13434, 13432])).
% 7.71/5.65 tff(13437,plain,
% 7.71/5.65 (((~v129(constB104, bitIndex0)) <=> v127(constB103, bitIndex0)) | (~v129(constB104, bitIndex0)) | v127(constB103, bitIndex0)),
% 7.71/5.65 inference(tautology,[status(thm)],[])).
% 7.71/5.65 tff(13438,plain,
% 7.71/5.65 (~v129(constB104, bitIndex0)),
% 7.71/5.65 inference(unit_resolution,[status(thm)],[13437, 13436, 13430])).
% 7.71/5.65 tff(13439,plain,
% 7.71/5.65 ((((~v90(constB104, bitIndex2)) <=> v129(constB104, bitIndex2)) | ((~v90(constB104, bitIndex1)) <=> v129(constB104, bitIndex1)) | ((~v90(constB104, bitIndex0)) <=> v129(constB104, bitIndex0))) | (~((~v90(constB104, bitIndex0)) <=> v129(constB104, bitIndex0)))),
% 7.71/5.65 inference(tautology,[status(thm)],[])).
% 7.71/5.65 tff(13440,plain,
% 7.71/5.65 (~((~v90(constB104, bitIndex0)) <=> v129(constB104, bitIndex0))),
% 7.71/5.65 inference(unit_resolution,[status(thm)],[13439, 13287])).
% 7.71/5.65 tff(13441,plain,
% 7.71/5.65 (((~v90(constB104, bitIndex0)) <=> v129(constB104, bitIndex0)) | (~v90(constB104, bitIndex0)) | v129(constB104, bitIndex0)),
% 7.71/5.65 inference(tautology,[status(thm)],[])).
% 7.71/5.65 tff(13442,plain,
% 7.71/5.65 (~v90(constB104, bitIndex0)),
% 7.71/5.65 inference(unit_resolution,[status(thm)],[13441, 13440, 13438])).
% 7.71/5.65 tff(13443,plain,
% 7.71/5.65 (((~v90(constB105, bitIndex0)) <=> v90(constB104, bitIndex0)) | (~v90(constB105, bitIndex0)) | v90(constB104, bitIndex0)),
% 7.71/5.65 inference(tautology,[status(thm)],[])).
% 7.71/5.65 tff(13444,plain,
% 7.71/5.65 (~v90(constB105, bitIndex0)),
% 7.71/5.65 inference(unit_resolution,[status(thm)],[13443, 13442, 13428])).
% 7.71/5.65 tff(13445,plain,
% 7.71/5.65 ((~(v90(constB105, bitIndex0) | (~v90(constB105, bitIndex1)) | (~v90(constB105, bitIndex2)))) | v90(constB105, bitIndex0) | (~v90(constB105, bitIndex1)) | (~v90(constB105, bitIndex2))),
% 7.71/5.65 inference(tautology,[status(thm)],[])).
% 7.71/5.65 tff(13446,plain,
% 7.71/5.65 (~(v90(constB105, bitIndex0) | (~v90(constB105, bitIndex1)) | (~v90(constB105, bitIndex2)))),
% 7.71/5.65 inference(unit_resolution,[status(thm)],[13445, 13322, 13444, 13293])).
% 7.71/5.65 tff(13447,plain,
% 7.71/5.65 ((~(v125(constB105) <=> (~(v90(constB105, bitIndex0) | (~v90(constB105, bitIndex1)) | (~v90(constB105, bitIndex2)))))) | v125(constB105) | (v90(constB105, bitIndex0) | (~v90(constB105, bitIndex1)) | (~v90(constB105, bitIndex2)))),
% 7.71/5.65 inference(tautology,[status(thm)],[])).
% 7.71/5.65 tff(13448,plain,
% 7.71/5.65 (v125(constB105)),
% 7.71/5.65 inference(unit_resolution,[status(thm)],[13447, 13446, 13426])).
% 7.71/5.65 tff(13449,plain,
% 7.71/5.65 ((v114(constB105) | v125(constB105)) | (~v125(constB105))),
% 7.71/5.65 inference(tautology,[status(thm)],[])).
% 7.71/5.65 tff(13450,plain,
% 7.71/5.65 (v114(constB105) | v125(constB105)),
% 7.71/5.65 inference(unit_resolution,[status(thm)],[13449, 13448])).
% 7.71/5.65 tff(13451,plain,
% 7.71/5.65 ((~(v113(constB105) <=> (v114(constB105) | v125(constB105)))) | v113(constB105) | (~(v114(constB105) | v125(constB105)))),
% 7.71/5.65 inference(tautology,[status(thm)],[])).
% 7.71/5.65 tff(13452,plain,
% 7.71/5.65 (v113(constB105)),
% 7.71/5.65 inference(unit_resolution,[status(thm)],[13451, 13450, 13424])).
% 7.71/5.65 tff(13453,plain,
% 7.71/5.65 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB105)) <=> v111(constB105))),
% 7.71/5.65 inference(quant_inst,[status(thm)],[])).
% 7.71/5.65 tff(13454,plain,
% 7.71/5.65 ((~v126(constB105)) <=> v111(constB105)),
% 7.71/5.65 inference(unit_resolution,[status(thm)],[13453, 3396])).
% 7.71/5.65 tff(13455,plain,
% 7.71/5.65 ((~((~v126(constB105)) <=> v111(constB105))) | v126(constB105) | v111(constB105)),
% 7.71/5.65 inference(tautology,[status(thm)],[])).
% 7.71/5.65 tff(13456,plain,
% 7.71/5.65 ((~((~v126(constB105)) <=> v111(constB105))) | v126(constB105)),
% 7.71/5.65 inference(unit_resolution,[status(thm)],[13455, 10666])).
% 7.71/5.65 tff(13457,plain,
% 7.71/5.65 (v126(constB105)),
% 7.71/5.65 inference(unit_resolution,[status(thm)],[13456, 13454])).
% 7.71/5.65 tff(13458,plain,
% 7.71/5.65 ((~((~v113(constB105)) | (~v126(constB105)))) | (~v113(constB105)) | (~v126(constB105))),
% 7.71/5.65 inference(tautology,[status(thm)],[])).
% 7.71/5.65 tff(13459,plain,
% 7.71/5.65 ((~((~v113(constB105)) | (~v126(constB105)))) | (~v113(constB105))),
% 7.71/5.65 inference(unit_resolution,[status(thm)],[13458, 13457])).
% 7.71/5.65 tff(13460,plain,
% 7.71/5.65 (~((~v113(constB105)) | (~v126(constB105)))),
% 7.71/5.65 inference(unit_resolution,[status(thm)],[13459, 13452])).
% 7.71/5.65 tff(13461,plain,
% 7.71/5.65 ((~(v112(constB105) <=> (~((~v113(constB105)) | (~v126(constB105)))))) | v112(constB105) | ((~v113(constB105)) | (~v126(constB105)))),
% 7.71/5.65 inference(tautology,[status(thm)],[])).
% 7.71/5.65 tff(13462,plain,
% 7.71/5.65 (v112(constB105)),
% 7.71/5.65 inference(unit_resolution,[status(thm)],[13461, 13460, 13422])).
% 7.71/5.65 tff(13463,plain,
% 7.71/5.65 ((v111(constB105) | v112(constB105)) | (~v112(constB105))),
% 7.71/5.65 inference(tautology,[status(thm)],[])).
% 7.71/5.65 tff(13464,plain,
% 7.71/5.65 (v111(constB105) | v112(constB105)),
% 7.71/5.65 inference(unit_resolution,[status(thm)],[13463, 13462])).
% 7.71/5.65 tff(13465,plain,
% 7.71/5.65 ((~(v108(constB105) <=> (v111(constB105) | v112(constB105)))) | v108(constB105) | (~(v111(constB105) | v112(constB105)))),
% 7.71/5.65 inference(tautology,[status(thm)],[])).
% 7.71/5.65 tff(13466,plain,
% 7.71/5.65 (v108(constB105)),
% 7.71/5.65 inference(unit_resolution,[status(thm)],[13465, 13464, 13420])).
% 7.71/5.65 tff(13467,plain,
% 7.71/5.65 ((~(v110(constB106) <=> v108(constB105))) | v110(constB106) | (~v108(constB105))),
% 7.71/5.65 inference(tautology,[status(thm)],[])).
% 7.71/5.65 tff(13468,plain,
% 7.71/5.65 (v110(constB106)),
% 7.71/5.65 inference(unit_resolution,[status(thm)],[13467, 13466, 13418])).
% 7.71/5.65 tff(13469,plain,
% 7.71/5.65 ((~((~v101(constB106)) | (~v110(constB106)))) | (~v101(constB106)) | (~v110(constB106))),
% 7.71/5.65 inference(tautology,[status(thm)],[])).
% 7.71/5.65 tff(13470,plain,
% 7.71/5.65 (~((~v101(constB106)) | (~v110(constB106)))),
% 7.71/5.65 inference(unit_resolution,[status(thm)],[13469, 13468, 13414])).
% 7.71/5.65 tff(13471,plain,
% 7.71/5.65 ((~(v100(constB106) <=> (~((~v101(constB106)) | (~v110(constB106)))))) | v100(constB106) | ((~v101(constB106)) | (~v110(constB106)))),
% 7.71/5.65 inference(tautology,[status(thm)],[])).
% 7.71/5.65 tff(13472,plain,
% 7.71/5.65 (v100(constB106)),
% 7.71/5.65 inference(unit_resolution,[status(thm)],[13471, 13470, 13386])).
% 7.71/5.65 tff(13473,plain,
% 7.71/5.65 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB106)) | (~(((~v90(constB106, bitIndex0)) <=> v129(constB106, bitIndex0)) | ((~v90(constB106, bitIndex2)) <=> v129(constB106, bitIndex2)) | ((~v90(constB106, bitIndex1)) <=> v129(constB106, bitIndex1)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB106)) | (~(((~v90(constB106, bitIndex0)) <=> v129(constB106, bitIndex0)) | ((~v90(constB106, bitIndex2)) <=> v129(constB106, bitIndex2)) | ((~v90(constB106, bitIndex1)) <=> v129(constB106, bitIndex1)))))),
% 7.71/5.65 inference(rewrite,[status(thm)],[])).
% 7.71/5.65 tff(13474,plain,
% 7.71/5.65 (((~v100(constB106)) | (~(((~v90(constB106, bitIndex2)) <=> v129(constB106, bitIndex2)) | ((~v90(constB106, bitIndex1)) <=> v129(constB106, bitIndex1)) | ((~v90(constB106, bitIndex0)) <=> v129(constB106, bitIndex0))))) <=> ((~v100(constB106)) | (~(((~v90(constB106, bitIndex0)) <=> v129(constB106, bitIndex0)) | ((~v90(constB106, bitIndex2)) <=> v129(constB106, bitIndex2)) | ((~v90(constB106, bitIndex1)) <=> v129(constB106, bitIndex1)))))),
% 7.71/5.65 inference(rewrite,[status(thm)],[])).
% 7.71/5.65 tff(13475,plain,
% 7.71/5.65 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB106)) | (~(((~v90(constB106, bitIndex2)) <=> v129(constB106, bitIndex2)) | ((~v90(constB106, bitIndex1)) <=> v129(constB106, bitIndex1)) | ((~v90(constB106, bitIndex0)) <=> v129(constB106, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB106)) | (~(((~v90(constB106, bitIndex0)) <=> v129(constB106, bitIndex0)) | ((~v90(constB106, bitIndex2)) <=> v129(constB106, bitIndex2)) | ((~v90(constB106, bitIndex1)) <=> v129(constB106, bitIndex1))))))),
% 7.71/5.65 inference(monotonicity,[status(thm)],[13474])).
% 7.71/5.65 tff(13476,plain,
% 7.71/5.65 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB106)) | (~(((~v90(constB106, bitIndex2)) <=> v129(constB106, bitIndex2)) | ((~v90(constB106, bitIndex1)) <=> v129(constB106, bitIndex1)) | ((~v90(constB106, bitIndex0)) <=> v129(constB106, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB106)) | (~(((~v90(constB106, bitIndex0)) <=> v129(constB106, bitIndex0)) | ((~v90(constB106, bitIndex2)) <=> v129(constB106, bitIndex2)) | ((~v90(constB106, bitIndex1)) <=> v129(constB106, bitIndex1)))))),
% 7.71/5.65 inference(transitivity,[status(thm)],[13475, 13473])).
% 7.71/5.65 tff(13477,plain,
% 7.71/5.65 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB106)) | (~(((~v90(constB106, bitIndex2)) <=> v129(constB106, bitIndex2)) | ((~v90(constB106, bitIndex1)) <=> v129(constB106, bitIndex1)) | ((~v90(constB106, bitIndex0)) <=> v129(constB106, bitIndex0)))))),
% 7.71/5.65 inference(quant_inst,[status(thm)],[])).
% 7.71/5.65 tff(13478,plain,
% 7.71/5.65 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB106)) | (~(((~v90(constB106, bitIndex0)) <=> v129(constB106, bitIndex0)) | ((~v90(constB106, bitIndex2)) <=> v129(constB106, bitIndex2)) | ((~v90(constB106, bitIndex1)) <=> v129(constB106, bitIndex1))))),
% 7.71/5.65 inference(modus_ponens,[status(thm)],[13477, 13476])).
% 7.71/5.65 tff(13479,plain,
% 7.71/5.65 ((~v100(constB106)) | (~(((~v90(constB106, bitIndex0)) <=> v129(constB106, bitIndex0)) | ((~v90(constB106, bitIndex2)) <=> v129(constB106, bitIndex2)) | ((~v90(constB106, bitIndex1)) <=> v129(constB106, bitIndex1))))),
% 7.71/5.65 inference(unit_resolution,[status(thm)],[13478, 3429])).
% 7.71/5.65 tff(13480,plain,
% 7.71/5.65 (~(((~v90(constB106, bitIndex0)) <=> v129(constB106, bitIndex0)) | ((~v90(constB106, bitIndex2)) <=> v129(constB106, bitIndex2)) | ((~v90(constB106, bitIndex1)) <=> v129(constB106, bitIndex1)))),
% 7.71/5.65 inference(unit_resolution,[status(thm)],[13479, 13472])).
% 7.71/5.65 tff(13481,plain,
% 7.71/5.65 ((((~v90(constB106, bitIndex0)) <=> v129(constB106, bitIndex0)) | ((~v90(constB106, bitIndex2)) <=> v129(constB106, bitIndex2)) | ((~v90(constB106, bitIndex1)) <=> v129(constB106, bitIndex1))) | (~((~v90(constB106, bitIndex2)) <=> v129(constB106, bitIndex2)))),
% 7.71/5.65 inference(tautology,[status(thm)],[])).
% 7.71/5.65 tff(13482,plain,
% 7.71/5.65 (~((~v90(constB106, bitIndex2)) <=> v129(constB106, bitIndex2))),
% 7.71/5.65 inference(unit_resolution,[status(thm)],[13481, 13480])).
% 7.71/5.65 tff(13483,plain,
% 7.71/5.65 (((~v90(constB106, bitIndex2)) <=> v129(constB106, bitIndex2)) | (~v90(constB106, bitIndex2)) | v129(constB106, bitIndex2)),
% 7.71/5.65 inference(tautology,[status(thm)],[])).
% 7.71/5.65 tff(13484,plain,
% 7.71/5.65 (~v90(constB106, bitIndex2)),
% 7.71/5.65 inference(unit_resolution,[status(thm)],[13483, 13482, 13382])).
% 7.71/5.65 tff(13485,plain,
% 7.71/5.65 (((~v90(constB107, bitIndex2)) <=> v90(constB106, bitIndex2)) | (~v90(constB107, bitIndex2)) | v90(constB106, bitIndex2)),
% 7.71/5.65 inference(tautology,[status(thm)],[])).
% 7.71/5.65 tff(13486,plain,
% 7.71/5.65 (~v90(constB107, bitIndex2)),
% 7.71/5.65 inference(unit_resolution,[status(thm)],[13485, 13484, 10650])).
% 7.71/5.65 tff(13487,plain,
% 7.71/5.65 ((((~v90(constB107, bitIndex1)) <=> v90(constB106, bitIndex1)) | ((~v90(constB107, bitIndex2)) <=> v90(constB106, bitIndex2)) | ((~v90(constB107, bitIndex0)) <=> v90(constB106, bitIndex0))) | (~((~v90(constB107, bitIndex0)) <=> v90(constB106, bitIndex0)))),
% 7.71/5.65 inference(tautology,[status(thm)],[])).
% 7.71/5.65 tff(13488,plain,
% 7.71/5.65 (~((~v90(constB107, bitIndex0)) <=> v90(constB106, bitIndex0))),
% 7.71/5.65 inference(unit_resolution,[status(thm)],[13487, 10648])).
% 7.71/5.65 tff(13489,plain,
% 7.71/5.65 ((((~v129(constB106, bitIndex2)) <=> v127(constB105, bitIndex2)) | ((~v129(constB106, bitIndex1)) <=> v127(constB105, bitIndex1)) | ((~v129(constB106, bitIndex0)) <=> v127(constB105, bitIndex0))) | (~((~v129(constB106, bitIndex0)) <=> v127(constB105, bitIndex0)))),
% 7.71/5.65 inference(tautology,[status(thm)],[])).
% 7.71/5.65 tff(13490,plain,
% 7.71/5.65 (~((~v129(constB106, bitIndex0)) <=> v127(constB105, bitIndex0))),
% 7.71/5.65 inference(unit_resolution,[status(thm)],[13489, 10657])).
% 7.71/5.65 tff(13491,plain,
% 7.71/5.65 ((((~v127(constB105, bitIndex2)) <=> v130(constB105, bitIndex2)) | ((~v127(constB105, bitIndex1)) <=> v130(constB105, bitIndex1)) | ((~v127(constB105, bitIndex0)) <=> v130(constB105, bitIndex0))) | (~((~v127(constB105, bitIndex0)) <=> v130(constB105, bitIndex0)))),
% 7.71/5.65 inference(tautology,[status(thm)],[])).
% 7.71/5.65 tff(13492,plain,
% 7.71/5.65 (~((~v127(constB105, bitIndex0)) <=> v130(constB105, bitIndex0))),
% 7.71/5.65 inference(unit_resolution,[status(thm)],[13491, 10671])).
% 7.71/5.65 tff(13493,plain,
% 7.71/5.65 ((v130(constB105, bitIndex2) | v130(constB105, bitIndex1) | (~v130(constB105, bitIndex0))) | v130(constB105, bitIndex0)),
% 7.71/5.65 inference(tautology,[status(thm)],[])).
% 7.71/5.65 tff(13494,plain,
% 7.71/5.65 (v130(constB105, bitIndex0)),
% 7.71/5.65 inference(unit_resolution,[status(thm)],[13493, 13376])).
% 7.71/5.65 tff(13495,plain,
% 7.71/5.65 (((~v127(constB105, bitIndex0)) <=> v130(constB105, bitIndex0)) | v127(constB105, bitIndex0) | (~v130(constB105, bitIndex0))),
% 7.71/5.65 inference(tautology,[status(thm)],[])).
% 7.71/5.65 tff(13496,plain,
% 7.71/5.65 (v127(constB105, bitIndex0)),
% 7.71/5.65 inference(unit_resolution,[status(thm)],[13495, 13494, 13492])).
% 7.71/5.65 tff(13497,plain,
% 7.71/5.65 (((~v129(constB106, bitIndex0)) <=> v127(constB105, bitIndex0)) | v129(constB106, bitIndex0) | (~v127(constB105, bitIndex0))),
% 7.71/5.65 inference(tautology,[status(thm)],[])).
% 7.71/5.65 tff(13498,plain,
% 7.71/5.65 (v129(constB106, bitIndex0)),
% 7.71/5.65 inference(unit_resolution,[status(thm)],[13497, 13496, 13490])).
% 7.71/5.65 tff(13499,plain,
% 7.71/5.65 ((((~v90(constB106, bitIndex0)) <=> v129(constB106, bitIndex0)) | ((~v90(constB106, bitIndex2)) <=> v129(constB106, bitIndex2)) | ((~v90(constB106, bitIndex1)) <=> v129(constB106, bitIndex1))) | (~((~v90(constB106, bitIndex0)) <=> v129(constB106, bitIndex0)))),
% 7.71/5.65 inference(tautology,[status(thm)],[])).
% 7.71/5.65 tff(13500,plain,
% 7.71/5.65 (~((~v90(constB106, bitIndex0)) <=> v129(constB106, bitIndex0))),
% 7.71/5.65 inference(unit_resolution,[status(thm)],[13499, 13480])).
% 7.71/5.65 tff(13501,plain,
% 7.71/5.65 (((~v90(constB106, bitIndex0)) <=> v129(constB106, bitIndex0)) | v90(constB106, bitIndex0) | (~v129(constB106, bitIndex0))),
% 7.71/5.65 inference(tautology,[status(thm)],[])).
% 7.71/5.65 tff(13502,plain,
% 7.71/5.65 (v90(constB106, bitIndex0)),
% 7.71/5.65 inference(unit_resolution,[status(thm)],[13501, 13500, 13498])).
% 7.71/5.65 tff(13503,plain,
% 7.71/5.65 (((~v90(constB107, bitIndex0)) <=> v90(constB106, bitIndex0)) | v90(constB107, bitIndex0) | (~v90(constB106, bitIndex0))),
% 7.71/5.65 inference(tautology,[status(thm)],[])).
% 7.71/5.65 tff(13504,plain,
% 7.71/5.65 (v90(constB107, bitIndex0)),
% 7.71/5.65 inference(unit_resolution,[status(thm)],[13503, 13502, 13488])).
% 7.71/5.65 tff(13505,plain,
% 7.71/5.65 ((((~v90(constB107, bitIndex1)) <=> v90(constB106, bitIndex1)) | ((~v90(constB107, bitIndex2)) <=> v90(constB106, bitIndex2)) | ((~v90(constB107, bitIndex0)) <=> v90(constB106, bitIndex0))) | (~((~v90(constB107, bitIndex1)) <=> v90(constB106, bitIndex1)))),
% 7.71/5.65 inference(tautology,[status(thm)],[])).
% 7.71/5.65 tff(13506,plain,
% 7.71/5.65 (~((~v90(constB107, bitIndex1)) <=> v90(constB106, bitIndex1))),
% 7.71/5.65 inference(unit_resolution,[status(thm)],[13505, 10648])).
% 7.71/5.65 tff(13507,plain,
% 7.71/5.65 ((((~v129(constB106, bitIndex2)) <=> v127(constB105, bitIndex2)) | ((~v129(constB106, bitIndex1)) <=> v127(constB105, bitIndex1)) | ((~v129(constB106, bitIndex0)) <=> v127(constB105, bitIndex0))) | (~((~v129(constB106, bitIndex1)) <=> v127(constB105, bitIndex1)))),
% 7.71/5.65 inference(tautology,[status(thm)],[])).
% 7.71/5.65 tff(13508,plain,
% 7.71/5.65 (~((~v129(constB106, bitIndex1)) <=> v127(constB105, bitIndex1))),
% 7.71/5.65 inference(unit_resolution,[status(thm)],[13507, 10657])).
% 7.71/5.65 tff(13509,plain,
% 7.71/5.65 ((((~v127(constB105, bitIndex2)) <=> v130(constB105, bitIndex2)) | ((~v127(constB105, bitIndex1)) <=> v130(constB105, bitIndex1)) | ((~v127(constB105, bitIndex0)) <=> v130(constB105, bitIndex0))) | (~((~v127(constB105, bitIndex1)) <=> v130(constB105, bitIndex1)))),
% 7.71/5.65 inference(tautology,[status(thm)],[])).
% 7.71/5.65 tff(13510,plain,
% 7.71/5.65 (~((~v127(constB105, bitIndex1)) <=> v130(constB105, bitIndex1))),
% 7.71/5.65 inference(unit_resolution,[status(thm)],[13509, 10671])).
% 7.71/5.65 tff(13511,plain,
% 7.71/5.65 ((v130(constB105, bitIndex2) | v130(constB105, bitIndex1) | (~v130(constB105, bitIndex0))) | (~v130(constB105, bitIndex1))),
% 7.71/5.65 inference(tautology,[status(thm)],[])).
% 7.71/5.65 tff(13512,plain,
% 7.71/5.65 (~v130(constB105, bitIndex1)),
% 7.71/5.65 inference(unit_resolution,[status(thm)],[13511, 13376])).
% 7.71/5.65 tff(13513,plain,
% 7.71/5.65 (((~v127(constB105, bitIndex1)) <=> v130(constB105, bitIndex1)) | (~v127(constB105, bitIndex1)) | v130(constB105, bitIndex1)),
% 7.71/5.65 inference(tautology,[status(thm)],[])).
% 7.71/5.65 tff(13514,plain,
% 7.71/5.65 (~v127(constB105, bitIndex1)),
% 7.71/5.65 inference(unit_resolution,[status(thm)],[13513, 13512, 13510])).
% 7.71/5.65 tff(13515,plain,
% 7.71/5.65 (((~v129(constB106, bitIndex1)) <=> v127(constB105, bitIndex1)) | (~v129(constB106, bitIndex1)) | v127(constB105, bitIndex1)),
% 7.71/5.65 inference(tautology,[status(thm)],[])).
% 7.71/5.65 tff(13516,plain,
% 7.71/5.65 (~v129(constB106, bitIndex1)),
% 7.71/5.65 inference(unit_resolution,[status(thm)],[13515, 13514, 13508])).
% 7.71/5.65 tff(13517,plain,
% 7.71/5.65 ((((~v90(constB106, bitIndex0)) <=> v129(constB106, bitIndex0)) | ((~v90(constB106, bitIndex2)) <=> v129(constB106, bitIndex2)) | ((~v90(constB106, bitIndex1)) <=> v129(constB106, bitIndex1))) | (~((~v90(constB106, bitIndex1)) <=> v129(constB106, bitIndex1)))),
% 7.71/5.65 inference(tautology,[status(thm)],[])).
% 7.71/5.65 tff(13518,plain,
% 7.71/5.65 (~((~v90(constB106, bitIndex1)) <=> v129(constB106, bitIndex1))),
% 7.71/5.65 inference(unit_resolution,[status(thm)],[13517, 13480])).
% 7.71/5.65 tff(13519,plain,
% 7.71/5.65 (((~v90(constB106, bitIndex1)) <=> v129(constB106, bitIndex1)) | (~v90(constB106, bitIndex1)) | v129(constB106, bitIndex1)),
% 7.71/5.65 inference(tautology,[status(thm)],[])).
% 7.71/5.65 tff(13520,plain,
% 7.71/5.65 (~v90(constB106, bitIndex1)),
% 7.71/5.65 inference(unit_resolution,[status(thm)],[13519, 13518, 13516])).
% 7.71/5.65 tff(13521,plain,
% 7.71/5.65 (((~v90(constB107, bitIndex1)) <=> v90(constB106, bitIndex1)) | (~v90(constB107, bitIndex1)) | v90(constB106, bitIndex1)),
% 7.71/5.65 inference(tautology,[status(thm)],[])).
% 7.71/5.65 tff(13522,plain,
% 7.71/5.65 (~v90(constB107, bitIndex1)),
% 7.71/5.65 inference(unit_resolution,[status(thm)],[13521, 13520, 13506])).
% 7.71/5.65 tff(13523,plain,
% 7.71/5.65 ((~(v90(constB107, bitIndex1) | v90(constB107, bitIndex2) | (~v90(constB107, bitIndex0)))) | v90(constB107, bitIndex1) | v90(constB107, bitIndex2) | (~v90(constB107, bitIndex0))),
% 7.71/5.65 inference(tautology,[status(thm)],[])).
% 7.71/5.65 tff(13524,plain,
% 7.71/5.65 (~(v90(constB107, bitIndex1) | v90(constB107, bitIndex2) | (~v90(constB107, bitIndex0)))),
% 7.71/5.65 inference(unit_resolution,[status(thm)],[13523, 13522, 13504, 13486])).
% 7.71/5.65 tff(13525,plain,
% 7.71/5.65 ((~(v120(constB107) <=> (~(v90(constB107, bitIndex1) | v90(constB107, bitIndex2) | (~v90(constB107, bitIndex0)))))) | v120(constB107) | (v90(constB107, bitIndex1) | v90(constB107, bitIndex2) | (~v90(constB107, bitIndex0)))),
% 7.71/5.65 inference(tautology,[status(thm)],[])).
% 7.71/5.65 tff(13526,plain,
% 7.71/5.65 (v120(constB107)),
% 7.71/5.65 inference(unit_resolution,[status(thm)],[13525, 13524, 10614])).
% 7.71/5.65 tff(13527,plain,
% 7.71/5.65 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB107)) | (~(v130(constB107, bitIndex2) | v130(constB107, bitIndex0) | (~v130(constB107, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB107)) | (~(v130(constB107, bitIndex2) | v130(constB107, bitIndex0) | (~v130(constB107, bitIndex1)))))),
% 7.71/5.65 inference(rewrite,[status(thm)],[])).
% 7.71/5.65 tff(13528,plain,
% 7.71/5.65 (((~v120(constB107)) | (~(v130(constB107, bitIndex0) | v130(constB107, bitIndex2) | (~v130(constB107, bitIndex1))))) <=> ((~v120(constB107)) | (~(v130(constB107, bitIndex2) | v130(constB107, bitIndex0) | (~v130(constB107, bitIndex1)))))),
% 7.71/5.65 inference(rewrite,[status(thm)],[])).
% 7.71/5.65 tff(13529,plain,
% 7.71/5.65 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB107)) | (~(v130(constB107, bitIndex0) | v130(constB107, bitIndex2) | (~v130(constB107, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB107)) | (~(v130(constB107, bitIndex2) | v130(constB107, bitIndex0) | (~v130(constB107, bitIndex1))))))),
% 7.71/5.65 inference(monotonicity,[status(thm)],[13528])).
% 7.71/5.65 tff(13530,plain,
% 7.71/5.65 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB107)) | (~(v130(constB107, bitIndex0) | v130(constB107, bitIndex2) | (~v130(constB107, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB107)) | (~(v130(constB107, bitIndex2) | v130(constB107, bitIndex0) | (~v130(constB107, bitIndex1)))))),
% 7.71/5.65 inference(transitivity,[status(thm)],[13529, 13527])).
% 7.71/5.65 tff(13531,plain,
% 7.71/5.65 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB107)) | (~(v130(constB107, bitIndex0) | v130(constB107, bitIndex2) | (~v130(constB107, bitIndex1)))))),
% 7.71/5.65 inference(quant_inst,[status(thm)],[])).
% 7.71/5.65 tff(13532,plain,
% 7.71/5.65 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB107)) | (~(v130(constB107, bitIndex2) | v130(constB107, bitIndex0) | (~v130(constB107, bitIndex1))))),
% 7.71/5.65 inference(modus_ponens,[status(thm)],[13531, 13530])).
% 7.71/5.65 tff(13533,plain,
% 7.71/5.65 ((~v120(constB107)) | (~(v130(constB107, bitIndex2) | v130(constB107, bitIndex0) | (~v130(constB107, bitIndex1))))),
% 7.71/5.65 inference(unit_resolution,[status(thm)],[13532, 3881])).
% 7.71/5.65 tff(13534,plain,
% 7.71/5.65 (~(v130(constB107, bitIndex2) | v130(constB107, bitIndex0) | (~v130(constB107, bitIndex1)))),
% 7.71/5.65 inference(unit_resolution,[status(thm)],[13533, 13526])).
% 7.71/5.65 tff(13535,plain,
% 7.71/5.65 ((v130(constB107, bitIndex2) | v130(constB107, bitIndex0) | (~v130(constB107, bitIndex1))) | (~v130(constB107, bitIndex2))),
% 7.71/5.65 inference(tautology,[status(thm)],[])).
% 7.71/5.65 tff(13536,plain,
% 7.71/5.65 (~v130(constB107, bitIndex2)),
% 7.71/5.65 inference(unit_resolution,[status(thm)],[13535, 13534])).
% 7.71/5.65 tff(13537,plain,
% 7.71/5.65 (((~v127(constB107, bitIndex2)) <=> v130(constB107, bitIndex2)) | (~v127(constB107, bitIndex2)) | v130(constB107, bitIndex2)),
% 7.71/5.65 inference(tautology,[status(thm)],[])).
% 7.71/5.65 tff(13538,plain,
% 7.71/5.65 (~v127(constB107, bitIndex2)),
% 7.71/5.65 inference(unit_resolution,[status(thm)],[13537, 13536, 10612])).
% 7.71/5.65 tff(13539,plain,
% 7.71/5.65 (((~v129(constB108, bitIndex2)) <=> v127(constB107, bitIndex2)) | (~v129(constB108, bitIndex2)) | v127(constB107, bitIndex2)),
% 7.71/5.65 inference(tautology,[status(thm)],[])).
% 7.71/5.65 tff(13540,plain,
% 7.71/5.65 (~v129(constB108, bitIndex2)),
% 7.71/5.65 inference(unit_resolution,[status(thm)],[13539, 13538, 10598])).
% 7.71/5.65 tff(13541,plain,
% 7.71/5.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB107, constB108)) | (v100(constB108) <=> (~((~v101(constB108)) | (~v110(constB108))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB107, constB108)) | (v100(constB108) <=> (~((~v101(constB108)) | (~v110(constB108))))))),
% 7.71/5.65 inference(rewrite,[status(thm)],[])).
% 7.71/5.65 tff(13542,plain,
% 7.71/5.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB107, constB108)) | (v100(constB108) <=> (~((~v101(constB108)) | (~v110(constB108))))))),
% 7.71/5.65 inference(quant_inst,[status(thm)],[])).
% 7.71/5.65 tff(13543,plain,
% 7.71/5.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB107, constB108)) | (v100(constB108) <=> (~((~v101(constB108)) | (~v110(constB108)))))),
% 7.71/5.65 inference(modus_ponens,[status(thm)],[13542, 13541])).
% 7.71/5.65 tff(13544,plain,
% 7.71/5.65 (v100(constB108) <=> (~((~v101(constB108)) | (~v110(constB108))))),
% 7.71/5.65 inference(unit_resolution,[status(thm)],[13543, 10592, 445])).
% 7.71/5.66 tff(13545,plain,
% 7.71/5.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB107, constB108)) | (v101(constB108) <=> (~((~v1(constB108)) | (~v102(constB108))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB107, constB108)) | (v101(constB108) <=> (~((~v1(constB108)) | (~v102(constB108))))))),
% 7.71/5.66 inference(rewrite,[status(thm)],[])).
% 7.71/5.66 tff(13546,plain,
% 7.71/5.66 (((~nextState(constB107, constB108)) | (v101(constB108) <=> (~((~v102(constB108)) | (~v1(constB108)))))) <=> ((~nextState(constB107, constB108)) | (v101(constB108) <=> (~((~v1(constB108)) | (~v102(constB108))))))),
% 7.71/5.66 inference(rewrite,[status(thm)],[])).
% 7.71/5.66 tff(13547,plain,
% 7.71/5.66 (((~![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) <=> (~((~v1(constB108)) | (~v102(constB108)))))))),
% 7.71/5.66 inference(monotonicity,[status(thm)],[13546])).
% 7.71/5.66 tff(13548,plain,
% 7.71/5.66 (((~![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) <=> (~((~v1(constB108)) | (~v102(constB108))))))),
% 7.71/5.66 inference(transitivity,[status(thm)],[13547, 13545])).
% 7.71/5.66 tff(13549,plain,
% 7.71/5.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB107, constB108)) | (v101(constB108) <=> (~((~v102(constB108)) | (~v1(constB108))))))),
% 7.71/5.66 inference(quant_inst,[status(thm)],[])).
% 7.71/5.66 tff(13550,plain,
% 7.71/5.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB107, constB108)) | (v101(constB108) <=> (~((~v1(constB108)) | (~v102(constB108)))))),
% 7.71/5.66 inference(modus_ponens,[status(thm)],[13549, 13548])).
% 7.71/5.66 tff(13551,plain,
% 7.71/5.66 (v101(constB108) <=> (~((~v1(constB108)) | (~v102(constB108))))),
% 7.71/5.66 inference(unit_resolution,[status(thm)],[13550, 10592, 465])).
% 7.71/5.66 tff(13552,plain,
% 7.71/5.66 (((~![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)))),
% 7.71/5.66 inference(rewrite,[status(thm)],[])).
% 7.71/5.66 tff(13553,plain,
% 7.71/5.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB107, constB108)) | ((~v102(constB108)) <=> v104(constB108)))),
% 7.71/5.66 inference(quant_inst,[status(thm)],[])).
% 7.71/5.66 tff(13554,plain,
% 7.71/5.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB107, constB108)) | ((~v102(constB108)) <=> v104(constB108))),
% 7.71/5.66 inference(modus_ponens,[status(thm)],[13553, 13552])).
% 7.71/5.66 tff(13555,plain,
% 7.71/5.66 ((~v102(constB108)) <=> v104(constB108)),
% 7.71/5.66 inference(unit_resolution,[status(thm)],[13554, 10592, 3244])).
% 7.71/5.66 tff(13556,plain,
% 7.71/5.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB107, constB108)) | (v104(constB108) <=> v1(constB107)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB107, constB108)) | (v104(constB108) <=> v1(constB107)))),
% 7.71/5.66 inference(rewrite,[status(thm)],[])).
% 7.71/5.66 tff(13557,plain,
% 7.71/5.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB107, constB108)) | (v104(constB108) <=> v1(constB107)))),
% 7.71/5.66 inference(quant_inst,[status(thm)],[])).
% 7.71/5.66 tff(13558,plain,
% 7.71/5.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB107, constB108)) | (v104(constB108) <=> v1(constB107))),
% 7.71/5.66 inference(modus_ponens,[status(thm)],[13557, 13556])).
% 7.71/5.66 tff(13559,plain,
% 7.71/5.66 (v104(constB108) <=> v1(constB107)),
% 7.71/5.66 inference(unit_resolution,[status(thm)],[13558, 10592, 3258])).
% 7.71/5.66 tff(13560,plain,
% 7.71/5.66 ((~(v104(constB108) <=> v1(constB107))) | (~v104(constB108)) | v1(constB107)),
% 7.71/5.66 inference(tautology,[status(thm)],[])).
% 7.71/5.66 tff(13561,plain,
% 7.71/5.66 ((~(v104(constB108) <=> v1(constB107))) | (~v104(constB108))),
% 7.71/5.66 inference(unit_resolution,[status(thm)],[13560, 10631])).
% 7.71/5.66 tff(13562,plain,
% 7.71/5.66 (~v104(constB108)),
% 7.71/5.66 inference(unit_resolution,[status(thm)],[13561, 13559])).
% 7.71/5.66 tff(13563,plain,
% 7.71/5.66 ((~((~v102(constB108)) <=> v104(constB108))) | v102(constB108) | v104(constB108)),
% 7.71/5.66 inference(tautology,[status(thm)],[])).
% 7.71/5.66 tff(13564,plain,
% 7.71/5.66 (v102(constB108)),
% 7.71/5.66 inference(unit_resolution,[status(thm)],[13563, 13562, 13555])).
% 7.71/5.66 tff(13565,plain,
% 7.71/5.66 (v1(constB108) <=> v1(constB108)),
% 7.71/5.66 inference(rewrite,[status(thm)],[])).
% 7.71/5.66 tff(13566,axiom,(v1(constB108)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_108')).
% 7.71/5.66 tff(13567,plain,
% 7.71/5.66 (v1(constB108)),
% 7.71/5.66 inference(modus_ponens,[status(thm)],[13566, 13565])).
% 7.71/5.66 tff(13568,plain,
% 7.71/5.66 ((~((~v1(constB108)) | (~v102(constB108)))) | (~v1(constB108)) | (~v102(constB108))),
% 7.71/5.66 inference(tautology,[status(thm)],[])).
% 7.71/5.66 tff(13569,plain,
% 7.71/5.66 ((~((~v1(constB108)) | (~v102(constB108)))) | (~v102(constB108))),
% 7.71/5.66 inference(unit_resolution,[status(thm)],[13568, 13567])).
% 7.71/5.66 tff(13570,plain,
% 7.71/5.66 (~((~v1(constB108)) | (~v102(constB108)))),
% 7.71/5.66 inference(unit_resolution,[status(thm)],[13569, 13564])).
% 7.71/5.66 tff(13571,plain,
% 7.71/5.66 ((~(v101(constB108) <=> (~((~v1(constB108)) | (~v102(constB108)))))) | v101(constB108) | ((~v1(constB108)) | (~v102(constB108)))),
% 7.71/5.66 inference(tautology,[status(thm)],[])).
% 7.71/5.66 tff(13572,plain,
% 7.71/5.66 (v101(constB108)),
% 7.71/5.66 inference(unit_resolution,[status(thm)],[13571, 13570, 13551])).
% 7.71/5.66 tff(13573,plain,
% 7.71/5.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB107, constB108)) | (v110(constB108) <=> v108(constB107)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB107, constB108)) | (v110(constB108) <=> v108(constB107)))),
% 7.71/5.66 inference(rewrite,[status(thm)],[])).
% 7.71/5.66 tff(13574,plain,
% 7.71/5.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB107, constB108)) | (v110(constB108) <=> v108(constB107)))),
% 7.71/5.66 inference(quant_inst,[status(thm)],[])).
% 7.71/5.66 tff(13575,plain,
% 7.71/5.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB107, constB108)) | (v110(constB108) <=> v108(constB107))),
% 7.71/5.66 inference(modus_ponens,[status(thm)],[13574, 13573])).
% 7.71/5.66 tff(13576,plain,
% 7.71/5.66 (v110(constB108) <=> v108(constB107)),
% 7.71/5.66 inference(unit_resolution,[status(thm)],[13575, 10592, 3285])).
% 7.71/5.66 tff(13577,plain,
% 7.71/5.66 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB107) <=> (v111(constB107) | v112(constB107)))),
% 7.71/5.66 inference(quant_inst,[status(thm)],[])).
% 7.71/5.66 tff(13578,plain,
% 7.71/5.66 (v108(constB107) <=> (v111(constB107) | v112(constB107))),
% 7.71/5.66 inference(unit_resolution,[status(thm)],[13577, 3296])).
% 7.71/5.66 tff(13579,plain,
% 7.71/5.66 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB107) <=> (~((~v113(constB107)) | (~v126(constB107)))))),
% 7.71/5.66 inference(quant_inst,[status(thm)],[])).
% 7.71/5.66 tff(13580,plain,
% 7.71/5.66 (v112(constB107) <=> (~((~v113(constB107)) | (~v126(constB107))))),
% 7.71/5.66 inference(unit_resolution,[status(thm)],[13579, 3308])).
% 7.71/5.66 tff(13581,plain,
% 7.71/5.66 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB107) <=> (v114(constB107) | v125(constB107)))),
% 7.71/5.66 inference(quant_inst,[status(thm)],[])).
% 7.71/5.66 tff(13582,plain,
% 7.71/5.66 (v113(constB107) <=> (v114(constB107) | v125(constB107))),
% 7.71/5.66 inference(unit_resolution,[status(thm)],[13581, 3317])).
% 7.71/5.66 tff(13583,plain,
% 7.71/5.66 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB107) <=> (v115(constB107) | v124(constB107)))),
% 7.71/5.66 inference(quant_inst,[status(thm)],[])).
% 7.71/5.66 tff(13584,plain,
% 7.71/5.66 (v114(constB107) <=> (v115(constB107) | v124(constB107))),
% 7.71/5.66 inference(unit_resolution,[status(thm)],[13583, 3326])).
% 7.71/5.66 tff(13585,plain,
% 7.71/5.66 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB107) <=> (v116(constB107) | v123(constB107)))),
% 7.71/5.66 inference(quant_inst,[status(thm)],[])).
% 7.71/5.66 tff(13586,plain,
% 7.71/5.66 (v115(constB107) <=> (v116(constB107) | v123(constB107))),
% 7.71/5.66 inference(unit_resolution,[status(thm)],[13585, 3335])).
% 7.71/5.66 tff(13587,plain,
% 7.71/5.66 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB107) <=> (v117(constB107) | v122(constB107)))),
% 7.71/5.66 inference(quant_inst,[status(thm)],[])).
% 7.71/5.66 tff(13588,plain,
% 7.71/5.66 (v116(constB107) <=> (v117(constB107) | v122(constB107))),
% 7.71/5.66 inference(unit_resolution,[status(thm)],[13587, 3344])).
% 7.71/5.66 tff(13589,plain,
% 7.71/5.66 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB107) <=> (v118(constB107) | v121(constB107)))),
% 7.71/5.66 inference(quant_inst,[status(thm)],[])).
% 7.71/5.66 tff(13590,plain,
% 7.71/5.66 (v117(constB107) <=> (v118(constB107) | v121(constB107))),
% 7.71/5.66 inference(unit_resolution,[status(thm)],[13589, 3353])).
% 7.71/5.66 tff(13591,plain,
% 7.71/5.66 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB107) <=> (v119(constB107) | v120(constB107)))),
% 7.71/5.66 inference(quant_inst,[status(thm)],[])).
% 7.71/5.66 tff(13592,plain,
% 7.71/5.66 (v118(constB107) <=> (v119(constB107) | v120(constB107))),
% 7.71/5.66 inference(unit_resolution,[status(thm)],[13591, 3362])).
% 7.71/5.66 tff(13593,plain,
% 7.71/5.66 ((v119(constB107) | v120(constB107)) | (~v120(constB107))),
% 7.71/5.66 inference(tautology,[status(thm)],[])).
% 7.71/5.66 tff(13594,plain,
% 7.71/5.66 (v119(constB107) | v120(constB107)),
% 7.71/5.66 inference(unit_resolution,[status(thm)],[13593, 13526])).
% 7.71/5.66 tff(13595,plain,
% 7.71/5.66 ((~(v118(constB107) <=> (v119(constB107) | v120(constB107)))) | v118(constB107) | (~(v119(constB107) | v120(constB107)))),
% 7.71/5.66 inference(tautology,[status(thm)],[])).
% 7.71/5.66 tff(13596,plain,
% 7.71/5.66 (v118(constB107)),
% 7.71/5.66 inference(unit_resolution,[status(thm)],[13595, 13594, 13592])).
% 7.71/5.66 tff(13597,plain,
% 7.71/5.66 ((v118(constB107) | v121(constB107)) | (~v118(constB107))),
% 7.71/5.66 inference(tautology,[status(thm)],[])).
% 7.71/5.66 tff(13598,plain,
% 7.71/5.66 (v118(constB107) | v121(constB107)),
% 7.71/5.66 inference(unit_resolution,[status(thm)],[13597, 13596])).
% 7.71/5.66 tff(13599,plain,
% 7.71/5.66 ((~(v117(constB107) <=> (v118(constB107) | v121(constB107)))) | v117(constB107) | (~(v118(constB107) | v121(constB107)))),
% 7.71/5.66 inference(tautology,[status(thm)],[])).
% 7.71/5.66 tff(13600,plain,
% 7.71/5.66 (v117(constB107)),
% 7.71/5.66 inference(unit_resolution,[status(thm)],[13599, 13598, 13590])).
% 7.71/5.66 tff(13601,plain,
% 7.71/5.66 ((v117(constB107) | v122(constB107)) | (~v117(constB107))),
% 7.71/5.66 inference(tautology,[status(thm)],[])).
% 7.71/5.66 tff(13602,plain,
% 7.71/5.66 (v117(constB107) | v122(constB107)),
% 7.71/5.66 inference(unit_resolution,[status(thm)],[13601, 13600])).
% 7.71/5.66 tff(13603,plain,
% 7.71/5.66 ((~(v116(constB107) <=> (v117(constB107) | v122(constB107)))) | v116(constB107) | (~(v117(constB107) | v122(constB107)))),
% 7.71/5.66 inference(tautology,[status(thm)],[])).
% 7.71/5.66 tff(13604,plain,
% 7.71/5.66 (v116(constB107)),
% 7.71/5.66 inference(unit_resolution,[status(thm)],[13603, 13602, 13588])).
% 7.71/5.66 tff(13605,plain,
% 7.71/5.66 ((v116(constB107) | v123(constB107)) | (~v116(constB107))),
% 7.71/5.66 inference(tautology,[status(thm)],[])).
% 7.71/5.66 tff(13606,plain,
% 7.71/5.66 (v116(constB107) | v123(constB107)),
% 7.71/5.66 inference(unit_resolution,[status(thm)],[13605, 13604])).
% 7.71/5.66 tff(13607,plain,
% 7.71/5.66 ((~(v115(constB107) <=> (v116(constB107) | v123(constB107)))) | v115(constB107) | (~(v116(constB107) | v123(constB107)))),
% 7.71/5.66 inference(tautology,[status(thm)],[])).
% 7.71/5.66 tff(13608,plain,
% 7.71/5.66 (v115(constB107)),
% 7.71/5.66 inference(unit_resolution,[status(thm)],[13607, 13606, 13586])).
% 7.71/5.66 tff(13609,plain,
% 7.71/5.66 ((v115(constB107) | v124(constB107)) | (~v115(constB107))),
% 7.71/5.66 inference(tautology,[status(thm)],[])).
% 7.71/5.66 tff(13610,plain,
% 7.71/5.66 (v115(constB107) | v124(constB107)),
% 7.71/5.66 inference(unit_resolution,[status(thm)],[13609, 13608])).
% 7.71/5.66 tff(13611,plain,
% 7.71/5.66 ((~(v114(constB107) <=> (v115(constB107) | v124(constB107)))) | v114(constB107) | (~(v115(constB107) | v124(constB107)))),
% 7.71/5.66 inference(tautology,[status(thm)],[])).
% 7.71/5.66 tff(13612,plain,
% 7.71/5.66 (v114(constB107)),
% 7.71/5.66 inference(unit_resolution,[status(thm)],[13611, 13610, 13584])).
% 7.71/5.66 tff(13613,plain,
% 7.71/5.66 ((v114(constB107) | v125(constB107)) | (~v114(constB107))),
% 7.71/5.66 inference(tautology,[status(thm)],[])).
% 7.71/5.66 tff(13614,plain,
% 7.71/5.66 (v114(constB107) | v125(constB107)),
% 7.71/5.66 inference(unit_resolution,[status(thm)],[13613, 13612])).
% 7.71/5.66 tff(13615,plain,
% 7.71/5.66 ((~(v113(constB107) <=> (v114(constB107) | v125(constB107)))) | v113(constB107) | (~(v114(constB107) | v125(constB107)))),
% 7.71/5.66 inference(tautology,[status(thm)],[])).
% 7.71/5.66 tff(13616,plain,
% 7.71/5.66 (v113(constB107)),
% 7.71/5.66 inference(unit_resolution,[status(thm)],[13615, 13614, 13582])).
% 7.71/5.66 tff(13617,plain,
% 7.71/5.66 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB107)) <=> v111(constB107))),
% 7.71/5.66 inference(quant_inst,[status(thm)],[])).
% 7.71/5.66 tff(13618,plain,
% 7.71/5.66 ((~v126(constB107)) <=> v111(constB107)),
% 7.71/5.66 inference(unit_resolution,[status(thm)],[13617, 3396])).
% 7.71/5.66 tff(13619,plain,
% 7.71/5.66 ((~((~v126(constB107)) <=> v111(constB107))) | v126(constB107) | v111(constB107)),
% 7.71/5.66 inference(tautology,[status(thm)],[])).
% 7.71/5.66 tff(13620,plain,
% 7.71/5.66 ((~((~v126(constB107)) <=> v111(constB107))) | v126(constB107)),
% 7.71/5.66 inference(unit_resolution,[status(thm)],[13619, 10605])).
% 7.71/5.66 tff(13621,plain,
% 7.71/5.66 (v126(constB107)),
% 7.71/5.66 inference(unit_resolution,[status(thm)],[13620, 13618])).
% 7.71/5.66 tff(13622,plain,
% 7.71/5.66 ((~((~v113(constB107)) | (~v126(constB107)))) | (~v113(constB107)) | (~v126(constB107))),
% 7.71/5.66 inference(tautology,[status(thm)],[])).
% 7.71/5.66 tff(13623,plain,
% 7.71/5.66 ((~((~v113(constB107)) | (~v126(constB107)))) | (~v113(constB107))),
% 7.71/5.66 inference(unit_resolution,[status(thm)],[13622, 13621])).
% 7.71/5.66 tff(13624,plain,
% 7.71/5.66 (~((~v113(constB107)) | (~v126(constB107)))),
% 7.71/5.66 inference(unit_resolution,[status(thm)],[13623, 13616])).
% 7.71/5.66 tff(13625,plain,
% 7.71/5.66 ((~(v112(constB107) <=> (~((~v113(constB107)) | (~v126(constB107)))))) | v112(constB107) | ((~v113(constB107)) | (~v126(constB107)))),
% 7.71/5.66 inference(tautology,[status(thm)],[])).
% 7.71/5.66 tff(13626,plain,
% 7.71/5.66 (v112(constB107)),
% 7.71/5.66 inference(unit_resolution,[status(thm)],[13625, 13624, 13580])).
% 7.71/5.66 tff(13627,plain,
% 7.71/5.66 ((v111(constB107) | v112(constB107)) | (~v112(constB107))),
% 7.71/5.66 inference(tautology,[status(thm)],[])).
% 7.71/5.66 tff(13628,plain,
% 7.71/5.66 (v111(constB107) | v112(constB107)),
% 7.71/5.66 inference(unit_resolution,[status(thm)],[13627, 13626])).
% 7.71/5.66 tff(13629,plain,
% 7.71/5.66 ((~(v108(constB107) <=> (v111(constB107) | v112(constB107)))) | v108(constB107) | (~(v111(constB107) | v112(constB107)))),
% 7.71/5.66 inference(tautology,[status(thm)],[])).
% 7.71/5.66 tff(13630,plain,
% 7.71/5.66 (v108(constB107)),
% 7.71/5.66 inference(unit_resolution,[status(thm)],[13629, 13628, 13578])).
% 7.71/5.66 tff(13631,plain,
% 7.71/5.66 ((~(v110(constB108) <=> v108(constB107))) | v110(constB108) | (~v108(constB107))),
% 7.71/5.66 inference(tautology,[status(thm)],[])).
% 7.71/5.66 tff(13632,plain,
% 7.71/5.66 (v110(constB108)),
% 7.71/5.66 inference(unit_resolution,[status(thm)],[13631, 13630, 13576])).
% 7.71/5.66 tff(13633,plain,
% 7.71/5.66 ((~((~v101(constB108)) | (~v110(constB108)))) | (~v101(constB108)) | (~v110(constB108))),
% 7.71/5.66 inference(tautology,[status(thm)],[])).
% 7.71/5.66 tff(13634,plain,
% 7.71/5.66 (~((~v101(constB108)) | (~v110(constB108)))),
% 7.71/5.66 inference(unit_resolution,[status(thm)],[13633, 13632, 13572])).
% 7.71/5.66 tff(13635,plain,
% 7.71/5.66 ((~(v100(constB108) <=> (~((~v101(constB108)) | (~v110(constB108)))))) | v100(constB108) | ((~v101(constB108)) | (~v110(constB108)))),
% 7.71/5.66 inference(tautology,[status(thm)],[])).
% 7.71/5.66 tff(13636,plain,
% 7.71/5.66 (v100(constB108)),
% 7.71/5.66 inference(unit_resolution,[status(thm)],[13635, 13634, 13544])).
% 7.71/5.66 tff(13637,plain,
% 7.71/5.66 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB108)) | (~(((~v90(constB108, bitIndex2)) <=> v129(constB108, bitIndex2)) | ((~v90(constB108, bitIndex1)) <=> v129(constB108, bitIndex1)) | ((~v90(constB108, bitIndex0)) <=> v129(constB108, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB108)) | (~(((~v90(constB108, bitIndex2)) <=> v129(constB108, bitIndex2)) | ((~v90(constB108, bitIndex1)) <=> v129(constB108, bitIndex1)) | ((~v90(constB108, bitIndex0)) <=> v129(constB108, bitIndex0)))))),
% 7.71/5.66 inference(rewrite,[status(thm)],[])).
% 7.71/5.66 tff(13638,plain,
% 7.71/5.66 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB108)) | (~(((~v90(constB108, bitIndex2)) <=> v129(constB108, bitIndex2)) | ((~v90(constB108, bitIndex1)) <=> v129(constB108, bitIndex1)) | ((~v90(constB108, bitIndex0)) <=> v129(constB108, bitIndex0)))))),
% 7.71/5.66 inference(quant_inst,[status(thm)],[])).
% 7.71/5.66 tff(13639,plain,
% 7.71/5.66 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB108)) | (~(((~v90(constB108, bitIndex2)) <=> v129(constB108, bitIndex2)) | ((~v90(constB108, bitIndex1)) <=> v129(constB108, bitIndex1)) | ((~v90(constB108, bitIndex0)) <=> v129(constB108, bitIndex0))))),
% 7.71/5.66 inference(modus_ponens,[status(thm)],[13638, 13637])).
% 7.71/5.66 tff(13640,plain,
% 7.71/5.66 ((~v100(constB108)) | (~(((~v90(constB108, bitIndex2)) <=> v129(constB108, bitIndex2)) | ((~v90(constB108, bitIndex1)) <=> v129(constB108, bitIndex1)) | ((~v90(constB108, bitIndex0)) <=> v129(constB108, bitIndex0))))),
% 7.71/5.66 inference(unit_resolution,[status(thm)],[13639, 3429])).
% 7.71/5.66 tff(13641,plain,
% 7.71/5.66 (~(((~v90(constB108, bitIndex2)) <=> v129(constB108, bitIndex2)) | ((~v90(constB108, bitIndex1)) <=> v129(constB108, bitIndex1)) | ((~v90(constB108, bitIndex0)) <=> v129(constB108, bitIndex0)))),
% 7.71/5.66 inference(unit_resolution,[status(thm)],[13640, 13636])).
% 7.71/5.66 tff(13642,plain,
% 7.71/5.66 ((((~v90(constB108, bitIndex2)) <=> v129(constB108, bitIndex2)) | ((~v90(constB108, bitIndex1)) <=> v129(constB108, bitIndex1)) | ((~v90(constB108, bitIndex0)) <=> v129(constB108, bitIndex0))) | (~((~v90(constB108, bitIndex2)) <=> v129(constB108, bitIndex2)))),
% 7.71/5.66 inference(tautology,[status(thm)],[])).
% 7.71/5.66 tff(13643,plain,
% 7.71/5.66 (~((~v90(constB108, bitIndex2)) <=> v129(constB108, bitIndex2))),
% 7.71/5.66 inference(unit_resolution,[status(thm)],[13642, 13641])).
% 7.71/5.66 tff(13644,plain,
% 7.71/5.66 (((~v90(constB108, bitIndex2)) <=> v129(constB108, bitIndex2)) | (~v90(constB108, bitIndex2)) | v129(constB108, bitIndex2)),
% 7.71/5.66 inference(tautology,[status(thm)],[])).
% 7.71/5.66 tff(13645,plain,
% 7.71/5.66 (~v90(constB108, bitIndex2)),
% 7.71/5.66 inference(unit_resolution,[status(thm)],[13644, 13643, 13540])).
% 7.71/5.66 tff(13646,plain,
% 7.71/5.66 (((~v90(constB109, bitIndex2)) <=> v90(constB108, bitIndex2)) | (~v90(constB109, bitIndex2)) | v90(constB108, bitIndex2)),
% 7.71/5.66 inference(tautology,[status(thm)],[])).
% 7.71/5.66 tff(13647,plain,
% 7.71/5.66 (~v90(constB109, bitIndex2)),
% 7.71/5.66 inference(unit_resolution,[status(thm)],[13646, 13645, 10589])).
% 7.71/5.66 tff(13648,plain,
% 7.71/5.66 ((((~v90(constB109, bitIndex1)) <=> v90(constB108, bitIndex1)) | ((~v90(constB109, bitIndex2)) <=> v90(constB108, bitIndex2)) | ((~v90(constB109, bitIndex0)) <=> v90(constB108, bitIndex0))) | (~((~v90(constB109, bitIndex0)) <=> v90(constB108, bitIndex0)))),
% 7.71/5.66 inference(tautology,[status(thm)],[])).
% 7.71/5.66 tff(13649,plain,
% 7.71/5.66 (~((~v90(constB109, bitIndex0)) <=> v90(constB108, bitIndex0))),
% 7.71/5.66 inference(unit_resolution,[status(thm)],[13648, 10587])).
% 7.71/5.66 tff(13650,plain,
% 7.71/5.66 ((((~v129(constB108, bitIndex2)) <=> v127(constB107, bitIndex2)) | ((~v129(constB108, bitIndex1)) <=> v127(constB107, bitIndex1)) | ((~v129(constB108, bitIndex0)) <=> v127(constB107, bitIndex0))) | (~((~v129(constB108, bitIndex0)) <=> v127(constB107, bitIndex0)))),
% 7.71/5.66 inference(tautology,[status(thm)],[])).
% 7.71/5.66 tff(13651,plain,
% 7.71/5.66 (~((~v129(constB108, bitIndex0)) <=> v127(constB107, bitIndex0))),
% 7.71/5.66 inference(unit_resolution,[status(thm)],[13650, 10596])).
% 7.71/5.66 tff(13652,plain,
% 7.71/5.66 ((((~v127(constB107, bitIndex2)) <=> v130(constB107, bitIndex2)) | ((~v127(constB107, bitIndex1)) <=> v130(constB107, bitIndex1)) | ((~v127(constB107, bitIndex0)) <=> v130(constB107, bitIndex0))) | (~((~v127(constB107, bitIndex0)) <=> v130(constB107, bitIndex0)))),
% 7.71/5.66 inference(tautology,[status(thm)],[])).
% 7.71/5.66 tff(13653,plain,
% 7.71/5.66 (~((~v127(constB107, bitIndex0)) <=> v130(constB107, bitIndex0))),
% 7.71/5.66 inference(unit_resolution,[status(thm)],[13652, 10610])).
% 7.71/5.66 tff(13654,plain,
% 7.71/5.66 ((v130(constB107, bitIndex2) | v130(constB107, bitIndex0) | (~v130(constB107, bitIndex1))) | (~v130(constB107, bitIndex0))),
% 7.71/5.66 inference(tautology,[status(thm)],[])).
% 7.71/5.66 tff(13655,plain,
% 7.71/5.66 (~v130(constB107, bitIndex0)),
% 7.71/5.66 inference(unit_resolution,[status(thm)],[13654, 13534])).
% 7.71/5.66 tff(13656,plain,
% 7.71/5.66 (((~v127(constB107, bitIndex0)) <=> v130(constB107, bitIndex0)) | (~v127(constB107, bitIndex0)) | v130(constB107, bitIndex0)),
% 7.71/5.66 inference(tautology,[status(thm)],[])).
% 7.71/5.66 tff(13657,plain,
% 7.71/5.66 (~v127(constB107, bitIndex0)),
% 7.71/5.66 inference(unit_resolution,[status(thm)],[13656, 13655, 13653])).
% 7.71/5.66 tff(13658,plain,
% 7.71/5.66 (((~v129(constB108, bitIndex0)) <=> v127(constB107, bitIndex0)) | (~v129(constB108, bitIndex0)) | v127(constB107, bitIndex0)),
% 7.71/5.66 inference(tautology,[status(thm)],[])).
% 7.71/5.66 tff(13659,plain,
% 7.71/5.66 (~v129(constB108, bitIndex0)),
% 7.71/5.66 inference(unit_resolution,[status(thm)],[13658, 13657, 13651])).
% 7.71/5.66 tff(13660,plain,
% 7.71/5.66 ((((~v90(constB108, bitIndex2)) <=> v129(constB108, bitIndex2)) | ((~v90(constB108, bitIndex1)) <=> v129(constB108, bitIndex1)) | ((~v90(constB108, bitIndex0)) <=> v129(constB108, bitIndex0))) | (~((~v90(constB108, bitIndex0)) <=> v129(constB108, bitIndex0)))),
% 7.71/5.66 inference(tautology,[status(thm)],[])).
% 7.71/5.66 tff(13661,plain,
% 7.71/5.66 (~((~v90(constB108, bitIndex0)) <=> v129(constB108, bitIndex0))),
% 7.71/5.66 inference(unit_resolution,[status(thm)],[13660, 13641])).
% 7.71/5.66 tff(13662,plain,
% 7.71/5.66 (((~v90(constB108, bitIndex0)) <=> v129(constB108, bitIndex0)) | (~v90(constB108, bitIndex0)) | v129(constB108, bitIndex0)),
% 7.71/5.66 inference(tautology,[status(thm)],[])).
% 7.71/5.66 tff(13663,plain,
% 7.71/5.66 (~v90(constB108, bitIndex0)),
% 7.71/5.66 inference(unit_resolution,[status(thm)],[13662, 13661, 13659])).
% 7.71/5.66 tff(13664,plain,
% 7.71/5.66 (((~v90(constB109, bitIndex0)) <=> v90(constB108, bitIndex0)) | (~v90(constB109, bitIndex0)) | v90(constB108, bitIndex0)),
% 7.71/5.66 inference(tautology,[status(thm)],[])).
% 7.71/5.66 tff(13665,plain,
% 7.71/5.66 (~v90(constB109, bitIndex0)),
% 7.71/5.66 inference(unit_resolution,[status(thm)],[13664, 13663, 13649])).
% 7.71/5.66 tff(13666,plain,
% 7.71/5.66 ((((~v90(constB109, bitIndex1)) <=> v90(constB108, bitIndex1)) | ((~v90(constB109, bitIndex2)) <=> v90(constB108, bitIndex2)) | ((~v90(constB109, bitIndex0)) <=> v90(constB108, bitIndex0))) | (~((~v90(constB109, bitIndex1)) <=> v90(constB108, bitIndex1)))),
% 7.71/5.66 inference(tautology,[status(thm)],[])).
% 7.71/5.66 tff(13667,plain,
% 7.71/5.66 (~((~v90(constB109, bitIndex1)) <=> v90(constB108, bitIndex1))),
% 7.71/5.66 inference(unit_resolution,[status(thm)],[13666, 10587])).
% 7.71/5.66 tff(13668,plain,
% 7.71/5.66 ((((~v129(constB108, bitIndex2)) <=> v127(constB107, bitIndex2)) | ((~v129(constB108, bitIndex1)) <=> v127(constB107, bitIndex1)) | ((~v129(constB108, bitIndex0)) <=> v127(constB107, bitIndex0))) | (~((~v129(constB108, bitIndex1)) <=> v127(constB107, bitIndex1)))),
% 7.71/5.66 inference(tautology,[status(thm)],[])).
% 7.71/5.66 tff(13669,plain,
% 7.71/5.66 (~((~v129(constB108, bitIndex1)) <=> v127(constB107, bitIndex1))),
% 7.71/5.66 inference(unit_resolution,[status(thm)],[13668, 10596])).
% 7.71/5.66 tff(13670,plain,
% 7.71/5.66 ((((~v127(constB107, bitIndex2)) <=> v130(constB107, bitIndex2)) | ((~v127(constB107, bitIndex1)) <=> v130(constB107, bitIndex1)) | ((~v127(constB107, bitIndex0)) <=> v130(constB107, bitIndex0))) | (~((~v127(constB107, bitIndex1)) <=> v130(constB107, bitIndex1)))),
% 7.71/5.66 inference(tautology,[status(thm)],[])).
% 7.71/5.66 tff(13671,plain,
% 7.71/5.66 (~((~v127(constB107, bitIndex1)) <=> v130(constB107, bitIndex1))),
% 7.71/5.66 inference(unit_resolution,[status(thm)],[13670, 10610])).
% 7.71/5.66 tff(13672,plain,
% 7.71/5.66 ((v130(constB107, bitIndex2) | v130(constB107, bitIndex0) | (~v130(constB107, bitIndex1))) | v130(constB107, bitIndex1)),
% 7.71/5.66 inference(tautology,[status(thm)],[])).
% 7.71/5.66 tff(13673,plain,
% 7.71/5.66 (v130(constB107, bitIndex1)),
% 7.71/5.66 inference(unit_resolution,[status(thm)],[13672, 13534])).
% 7.71/5.66 tff(13674,plain,
% 7.71/5.66 (((~v127(constB107, bitIndex1)) <=> v130(constB107, bitIndex1)) | v127(constB107, bitIndex1) | (~v130(constB107, bitIndex1))),
% 7.71/5.66 inference(tautology,[status(thm)],[])).
% 7.71/5.66 tff(13675,plain,
% 7.71/5.66 (v127(constB107, bitIndex1)),
% 7.71/5.66 inference(unit_resolution,[status(thm)],[13674, 13673, 13671])).
% 7.71/5.66 tff(13676,plain,
% 7.71/5.66 (((~v129(constB108, bitIndex1)) <=> v127(constB107, bitIndex1)) | v129(constB108, bitIndex1) | (~v127(constB107, bitIndex1))),
% 7.71/5.66 inference(tautology,[status(thm)],[])).
% 7.71/5.66 tff(13677,plain,
% 7.71/5.66 (v129(constB108, bitIndex1)),
% 7.71/5.66 inference(unit_resolution,[status(thm)],[13676, 13675, 13669])).
% 7.71/5.66 tff(13678,plain,
% 7.71/5.66 ((((~v90(constB108, bitIndex2)) <=> v129(constB108, bitIndex2)) | ((~v90(constB108, bitIndex1)) <=> v129(constB108, bitIndex1)) | ((~v90(constB108, bitIndex0)) <=> v129(constB108, bitIndex0))) | (~((~v90(constB108, bitIndex1)) <=> v129(constB108, bitIndex1)))),
% 7.71/5.66 inference(tautology,[status(thm)],[])).
% 7.71/5.66 tff(13679,plain,
% 7.71/5.66 (~((~v90(constB108, bitIndex1)) <=> v129(constB108, bitIndex1))),
% 7.71/5.66 inference(unit_resolution,[status(thm)],[13678, 13641])).
% 7.71/5.66 tff(13680,plain,
% 7.71/5.66 (((~v90(constB108, bitIndex1)) <=> v129(constB108, bitIndex1)) | v90(constB108, bitIndex1) | (~v129(constB108, bitIndex1))),
% 7.71/5.66 inference(tautology,[status(thm)],[])).
% 7.71/5.66 tff(13681,plain,
% 7.71/5.66 (v90(constB108, bitIndex1)),
% 7.71/5.66 inference(unit_resolution,[status(thm)],[13680, 13679, 13677])).
% 7.71/5.66 tff(13682,plain,
% 7.71/5.66 (((~v90(constB109, bitIndex1)) <=> v90(constB108, bitIndex1)) | v90(constB109, bitIndex1) | (~v90(constB108, bitIndex1))),
% 7.71/5.66 inference(tautology,[status(thm)],[])).
% 7.71/5.66 tff(13683,plain,
% 7.71/5.66 (v90(constB109, bitIndex1)),
% 7.71/5.66 inference(unit_resolution,[status(thm)],[13682, 13681, 13667])).
% 7.71/5.66 tff(13684,plain,
% 7.71/5.66 ((~(v90(constB109, bitIndex2) | v90(constB109, bitIndex0) | (~v90(constB109, bitIndex1)))) | v90(constB109, bitIndex2) | v90(constB109, bitIndex0) | (~v90(constB109, bitIndex1))),
% 7.71/5.66 inference(tautology,[status(thm)],[])).
% 7.71/5.66 tff(13685,plain,
% 7.71/5.66 (~(v90(constB109, bitIndex2) | v90(constB109, bitIndex0) | (~v90(constB109, bitIndex1)))),
% 7.71/5.66 inference(unit_resolution,[status(thm)],[13684, 13683, 13665, 13647])).
% 7.71/5.66 tff(13686,plain,
% 7.71/5.66 ((~(v121(constB109) <=> (~(v90(constB109, bitIndex2) | v90(constB109, bitIndex0) | (~v90(constB109, bitIndex1)))))) | v121(constB109) | (v90(constB109, bitIndex2) | v90(constB109, bitIndex0) | (~v90(constB109, bitIndex1)))),
% 7.71/5.66 inference(tautology,[status(thm)],[])).
% 7.71/5.66 tff(13687,plain,
% 7.71/5.66 (v121(constB109)),
% 7.71/5.66 inference(unit_resolution,[status(thm)],[13686, 13685, 10553])).
% 7.71/5.66 tff(13688,plain,
% 7.71/5.66 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB109)) | (~(v130(constB109, bitIndex2) | (~v130(constB109, bitIndex1)) | (~v130(constB109, bitIndex0)))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | (~v121(constB109)) | (~(v130(constB109, bitIndex2) | (~v130(constB109, bitIndex1)) | (~v130(constB109, bitIndex0)))))),
% 7.71/5.66 inference(rewrite,[status(thm)],[])).
% 7.71/5.66 tff(13689,plain,
% 7.71/5.66 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB109)) | (~(v130(constB109, bitIndex2) | (~v130(constB109, bitIndex1)) | (~v130(constB109, bitIndex0)))))),
% 7.71/5.66 inference(quant_inst,[status(thm)],[])).
% 7.71/5.66 tff(13690,plain,
% 7.71/5.66 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | (~v121(constB109)) | (~(v130(constB109, bitIndex2) | (~v130(constB109, bitIndex1)) | (~v130(constB109, bitIndex0))))),
% 7.71/5.66 inference(modus_ponens,[status(thm)],[13689, 13688])).
% 7.71/5.66 tff(13691,plain,
% 7.71/5.66 ((~v121(constB109)) | (~(v130(constB109, bitIndex2) | (~v130(constB109, bitIndex1)) | (~v130(constB109, bitIndex0))))),
% 7.71/5.66 inference(unit_resolution,[status(thm)],[13690, 4055])).
% 7.71/5.66 tff(13692,plain,
% 7.71/5.66 (~(v130(constB109, bitIndex2) | (~v130(constB109, bitIndex1)) | (~v130(constB109, bitIndex0)))),
% 7.71/5.66 inference(unit_resolution,[status(thm)],[13691, 13687])).
% 7.71/5.66 tff(13693,plain,
% 7.71/5.66 ((v130(constB109, bitIndex2) | (~v130(constB109, bitIndex1)) | (~v130(constB109, bitIndex0))) | (~v130(constB109, bitIndex2))),
% 7.71/5.66 inference(tautology,[status(thm)],[])).
% 7.71/5.66 tff(13694,plain,
% 7.71/5.66 (~v130(constB109, bitIndex2)),
% 7.71/5.66 inference(unit_resolution,[status(thm)],[13693, 13692])).
% 7.71/5.66 tff(13695,plain,
% 7.71/5.66 (((~v127(constB109, bitIndex2)) <=> v130(constB109, bitIndex2)) | (~v127(constB109, bitIndex2)) | v130(constB109, bitIndex2)),
% 7.71/5.66 inference(tautology,[status(thm)],[])).
% 7.71/5.66 tff(13696,plain,
% 7.71/5.66 (~v127(constB109, bitIndex2)),
% 7.71/5.66 inference(unit_resolution,[status(thm)],[13695, 13694, 10546])).
% 7.71/5.66 tff(13697,plain,
% 7.71/5.66 (((~v129(constB110, bitIndex2)) <=> v127(constB109, bitIndex2)) | (~v129(constB110, bitIndex2)) | v127(constB109, bitIndex2)),
% 7.71/5.66 inference(tautology,[status(thm)],[])).
% 7.71/5.66 tff(13698,plain,
% 7.71/5.66 (~v129(constB110, bitIndex2)),
% 7.71/5.66 inference(unit_resolution,[status(thm)],[13697, 13696, 10532])).
% 7.71/5.66 tff(13699,plain,
% 7.71/5.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB109, constB110)) | (v100(constB110) <=> (~((~v101(constB110)) | (~v110(constB110))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB109, constB110)) | (v100(constB110) <=> (~((~v101(constB110)) | (~v110(constB110))))))),
% 7.71/5.66 inference(rewrite,[status(thm)],[])).
% 7.71/5.66 tff(13700,plain,
% 7.71/5.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB109, constB110)) | (v100(constB110) <=> (~((~v101(constB110)) | (~v110(constB110))))))),
% 7.71/5.66 inference(quant_inst,[status(thm)],[])).
% 7.71/5.66 tff(13701,plain,
% 7.71/5.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB109, constB110)) | (v100(constB110) <=> (~((~v101(constB110)) | (~v110(constB110)))))),
% 7.71/5.66 inference(modus_ponens,[status(thm)],[13700, 13699])).
% 7.71/5.66 tff(13702,plain,
% 7.71/5.66 (v100(constB110) <=> (~((~v101(constB110)) | (~v110(constB110))))),
% 7.71/5.66 inference(unit_resolution,[status(thm)],[13701, 10526, 445])).
% 7.71/5.66 tff(13703,plain,
% 7.71/5.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB109, constB110)) | (v101(constB110) <=> (~((~v1(constB110)) | (~v102(constB110))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB109, constB110)) | (v101(constB110) <=> (~((~v1(constB110)) | (~v102(constB110))))))),
% 7.71/5.66 inference(rewrite,[status(thm)],[])).
% 7.71/5.66 tff(13704,plain,
% 7.71/5.66 (((~nextState(constB109, constB110)) | (v101(constB110) <=> (~((~v102(constB110)) | (~v1(constB110)))))) <=> ((~nextState(constB109, constB110)) | (v101(constB110) <=> (~((~v1(constB110)) | (~v102(constB110))))))),
% 7.71/5.66 inference(rewrite,[status(thm)],[])).
% 7.71/5.66 tff(13705,plain,
% 7.71/5.66 (((~![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) <=> (~((~v1(constB110)) | (~v102(constB110)))))))),
% 7.71/5.66 inference(monotonicity,[status(thm)],[13704])).
% 7.71/5.66 tff(13706,plain,
% 7.71/5.66 (((~![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) <=> (~((~v1(constB110)) | (~v102(constB110))))))),
% 7.71/5.66 inference(transitivity,[status(thm)],[13705, 13703])).
% 7.71/5.66 tff(13707,plain,
% 7.71/5.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB109, constB110)) | (v101(constB110) <=> (~((~v102(constB110)) | (~v1(constB110))))))),
% 7.71/5.66 inference(quant_inst,[status(thm)],[])).
% 7.71/5.66 tff(13708,plain,
% 7.71/5.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB109, constB110)) | (v101(constB110) <=> (~((~v1(constB110)) | (~v102(constB110)))))),
% 7.71/5.66 inference(modus_ponens,[status(thm)],[13707, 13706])).
% 7.71/5.66 tff(13709,plain,
% 7.71/5.66 (v101(constB110) <=> (~((~v1(constB110)) | (~v102(constB110))))),
% 7.71/5.66 inference(unit_resolution,[status(thm)],[13708, 10526, 465])).
% 7.71/5.66 tff(13710,plain,
% 7.71/5.66 (((~![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)))),
% 7.71/5.66 inference(rewrite,[status(thm)],[])).
% 7.71/5.66 tff(13711,plain,
% 7.71/5.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB109, constB110)) | ((~v102(constB110)) <=> v104(constB110)))),
% 7.71/5.66 inference(quant_inst,[status(thm)],[])).
% 7.71/5.66 tff(13712,plain,
% 7.71/5.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB109, constB110)) | ((~v102(constB110)) <=> v104(constB110))),
% 7.71/5.66 inference(modus_ponens,[status(thm)],[13711, 13710])).
% 7.71/5.66 tff(13713,plain,
% 7.71/5.66 ((~v102(constB110)) <=> v104(constB110)),
% 7.71/5.66 inference(unit_resolution,[status(thm)],[13712, 10526, 3244])).
% 7.71/5.66 tff(13714,plain,
% 7.71/5.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB109, constB110)) | (v104(constB110) <=> v1(constB109)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB109, constB110)) | (v104(constB110) <=> v1(constB109)))),
% 7.71/5.66 inference(rewrite,[status(thm)],[])).
% 7.71/5.66 tff(13715,plain,
% 7.71/5.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB109, constB110)) | (v104(constB110) <=> v1(constB109)))),
% 7.71/5.66 inference(quant_inst,[status(thm)],[])).
% 7.71/5.66 tff(13716,plain,
% 7.71/5.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB109, constB110)) | (v104(constB110) <=> v1(constB109))),
% 7.71/5.66 inference(modus_ponens,[status(thm)],[13715, 13714])).
% 7.71/5.66 tff(13717,plain,
% 7.71/5.66 (v104(constB110) <=> v1(constB109)),
% 7.71/5.66 inference(unit_resolution,[status(thm)],[13716, 10526, 3258])).
% 7.71/5.66 tff(13718,plain,
% 7.71/5.66 ((~(v104(constB110) <=> v1(constB109))) | (~v104(constB110)) | v1(constB109)),
% 7.71/5.66 inference(tautology,[status(thm)],[])).
% 7.71/5.66 tff(13719,plain,
% 7.71/5.66 ((~(v104(constB110) <=> v1(constB109))) | (~v104(constB110))),
% 7.71/5.67 inference(unit_resolution,[status(thm)],[13718, 10570])).
% 7.71/5.67 tff(13720,plain,
% 7.71/5.67 (~v104(constB110)),
% 7.71/5.67 inference(unit_resolution,[status(thm)],[13719, 13717])).
% 7.71/5.67 tff(13721,plain,
% 7.71/5.67 ((~((~v102(constB110)) <=> v104(constB110))) | v102(constB110) | v104(constB110)),
% 7.71/5.67 inference(tautology,[status(thm)],[])).
% 7.71/5.67 tff(13722,plain,
% 7.71/5.67 (v102(constB110)),
% 7.71/5.67 inference(unit_resolution,[status(thm)],[13721, 13720, 13713])).
% 7.71/5.67 tff(13723,plain,
% 7.71/5.67 (v1(constB110) <=> v1(constB110)),
% 7.71/5.67 inference(rewrite,[status(thm)],[])).
% 7.71/5.67 tff(13724,axiom,(v1(constB110)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_110')).
% 7.71/5.67 tff(13725,plain,
% 7.71/5.67 (v1(constB110)),
% 7.71/5.67 inference(modus_ponens,[status(thm)],[13724, 13723])).
% 7.71/5.67 tff(13726,plain,
% 7.71/5.67 ((~((~v1(constB110)) | (~v102(constB110)))) | (~v1(constB110)) | (~v102(constB110))),
% 7.71/5.67 inference(tautology,[status(thm)],[])).
% 7.71/5.67 tff(13727,plain,
% 7.71/5.67 ((~((~v1(constB110)) | (~v102(constB110)))) | (~v102(constB110))),
% 7.71/5.67 inference(unit_resolution,[status(thm)],[13726, 13725])).
% 7.71/5.67 tff(13728,plain,
% 7.71/5.67 (~((~v1(constB110)) | (~v102(constB110)))),
% 7.71/5.67 inference(unit_resolution,[status(thm)],[13727, 13722])).
% 7.71/5.67 tff(13729,plain,
% 7.71/5.67 ((~(v101(constB110) <=> (~((~v1(constB110)) | (~v102(constB110)))))) | v101(constB110) | ((~v1(constB110)) | (~v102(constB110)))),
% 7.71/5.67 inference(tautology,[status(thm)],[])).
% 7.71/5.67 tff(13730,plain,
% 7.71/5.67 (v101(constB110)),
% 7.71/5.67 inference(unit_resolution,[status(thm)],[13729, 13728, 13709])).
% 7.71/5.67 tff(13731,plain,
% 7.71/5.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB109, constB110)) | (v110(constB110) <=> v108(constB109)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB109, constB110)) | (v110(constB110) <=> v108(constB109)))),
% 7.71/5.67 inference(rewrite,[status(thm)],[])).
% 7.71/5.67 tff(13732,plain,
% 7.71/5.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB109, constB110)) | (v110(constB110) <=> v108(constB109)))),
% 7.71/5.67 inference(quant_inst,[status(thm)],[])).
% 7.71/5.67 tff(13733,plain,
% 7.71/5.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB109, constB110)) | (v110(constB110) <=> v108(constB109))),
% 7.71/5.67 inference(modus_ponens,[status(thm)],[13732, 13731])).
% 7.71/5.67 tff(13734,plain,
% 7.71/5.67 (v110(constB110) <=> v108(constB109)),
% 7.71/5.67 inference(unit_resolution,[status(thm)],[13733, 10526, 3285])).
% 7.71/5.67 tff(13735,plain,
% 7.71/5.67 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB109) <=> (v111(constB109) | v112(constB109)))),
% 7.71/5.67 inference(quant_inst,[status(thm)],[])).
% 7.71/5.67 tff(13736,plain,
% 7.71/5.67 (v108(constB109) <=> (v111(constB109) | v112(constB109))),
% 7.71/5.67 inference(unit_resolution,[status(thm)],[13735, 3296])).
% 7.71/5.67 tff(13737,plain,
% 7.71/5.67 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB109) <=> (~((~v113(constB109)) | (~v126(constB109)))))),
% 7.71/5.67 inference(quant_inst,[status(thm)],[])).
% 7.71/5.67 tff(13738,plain,
% 7.71/5.67 (v112(constB109) <=> (~((~v113(constB109)) | (~v126(constB109))))),
% 7.71/5.67 inference(unit_resolution,[status(thm)],[13737, 3308])).
% 7.71/5.67 tff(13739,plain,
% 7.71/5.67 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB109) <=> (v114(constB109) | v125(constB109)))),
% 7.71/5.67 inference(quant_inst,[status(thm)],[])).
% 7.71/5.67 tff(13740,plain,
% 7.71/5.67 (v113(constB109) <=> (v114(constB109) | v125(constB109))),
% 7.71/5.67 inference(unit_resolution,[status(thm)],[13739, 3317])).
% 7.71/5.67 tff(13741,plain,
% 7.71/5.67 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB109) <=> (v115(constB109) | v124(constB109)))),
% 7.71/5.67 inference(quant_inst,[status(thm)],[])).
% 7.71/5.67 tff(13742,plain,
% 7.71/5.67 (v114(constB109) <=> (v115(constB109) | v124(constB109))),
% 7.71/5.67 inference(unit_resolution,[status(thm)],[13741, 3326])).
% 7.71/5.67 tff(13743,plain,
% 7.71/5.67 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB109) <=> (v116(constB109) | v123(constB109)))),
% 7.71/5.67 inference(quant_inst,[status(thm)],[])).
% 7.71/5.67 tff(13744,plain,
% 7.71/5.67 (v115(constB109) <=> (v116(constB109) | v123(constB109))),
% 7.71/5.67 inference(unit_resolution,[status(thm)],[13743, 3335])).
% 7.71/5.67 tff(13745,plain,
% 7.71/5.67 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB109) <=> (v117(constB109) | v122(constB109)))),
% 7.71/5.67 inference(quant_inst,[status(thm)],[])).
% 7.71/5.67 tff(13746,plain,
% 7.71/5.67 (v116(constB109) <=> (v117(constB109) | v122(constB109))),
% 7.71/5.67 inference(unit_resolution,[status(thm)],[13745, 3344])).
% 7.71/5.67 tff(13747,plain,
% 7.71/5.67 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB109) <=> (v118(constB109) | v121(constB109)))),
% 7.71/5.67 inference(quant_inst,[status(thm)],[])).
% 7.71/5.67 tff(13748,plain,
% 7.71/5.67 (v117(constB109) <=> (v118(constB109) | v121(constB109))),
% 7.71/5.67 inference(unit_resolution,[status(thm)],[13747, 3353])).
% 7.71/5.67 tff(13749,plain,
% 7.71/5.67 ((v118(constB109) | v121(constB109)) | (~v121(constB109))),
% 7.71/5.67 inference(tautology,[status(thm)],[])).
% 7.71/5.67 tff(13750,plain,
% 7.71/5.67 (v118(constB109) | v121(constB109)),
% 7.71/5.67 inference(unit_resolution,[status(thm)],[13749, 13687])).
% 7.71/5.67 tff(13751,plain,
% 7.71/5.67 ((~(v117(constB109) <=> (v118(constB109) | v121(constB109)))) | v117(constB109) | (~(v118(constB109) | v121(constB109)))),
% 7.71/5.67 inference(tautology,[status(thm)],[])).
% 7.71/5.67 tff(13752,plain,
% 7.71/5.67 (v117(constB109)),
% 7.71/5.67 inference(unit_resolution,[status(thm)],[13751, 13750, 13748])).
% 7.71/5.67 tff(13753,plain,
% 7.71/5.67 ((v117(constB109) | v122(constB109)) | (~v117(constB109))),
% 7.71/5.67 inference(tautology,[status(thm)],[])).
% 7.71/5.67 tff(13754,plain,
% 7.71/5.67 (v117(constB109) | v122(constB109)),
% 7.71/5.67 inference(unit_resolution,[status(thm)],[13753, 13752])).
% 7.71/5.67 tff(13755,plain,
% 7.71/5.67 ((~(v116(constB109) <=> (v117(constB109) | v122(constB109)))) | v116(constB109) | (~(v117(constB109) | v122(constB109)))),
% 7.71/5.67 inference(tautology,[status(thm)],[])).
% 7.71/5.67 tff(13756,plain,
% 7.71/5.67 (v116(constB109)),
% 7.71/5.67 inference(unit_resolution,[status(thm)],[13755, 13754, 13746])).
% 7.71/5.67 tff(13757,plain,
% 7.71/5.67 ((v116(constB109) | v123(constB109)) | (~v116(constB109))),
% 7.71/5.67 inference(tautology,[status(thm)],[])).
% 7.71/5.67 tff(13758,plain,
% 7.71/5.67 (v116(constB109) | v123(constB109)),
% 7.71/5.67 inference(unit_resolution,[status(thm)],[13757, 13756])).
% 7.71/5.67 tff(13759,plain,
% 7.71/5.67 ((~(v115(constB109) <=> (v116(constB109) | v123(constB109)))) | v115(constB109) | (~(v116(constB109) | v123(constB109)))),
% 7.71/5.67 inference(tautology,[status(thm)],[])).
% 7.71/5.67 tff(13760,plain,
% 7.71/5.67 (v115(constB109)),
% 7.71/5.67 inference(unit_resolution,[status(thm)],[13759, 13758, 13744])).
% 7.71/5.67 tff(13761,plain,
% 7.71/5.67 ((v115(constB109) | v124(constB109)) | (~v115(constB109))),
% 7.71/5.67 inference(tautology,[status(thm)],[])).
% 7.71/5.67 tff(13762,plain,
% 7.71/5.67 (v115(constB109) | v124(constB109)),
% 7.71/5.67 inference(unit_resolution,[status(thm)],[13761, 13760])).
% 7.71/5.67 tff(13763,plain,
% 7.71/5.67 ((~(v114(constB109) <=> (v115(constB109) | v124(constB109)))) | v114(constB109) | (~(v115(constB109) | v124(constB109)))),
% 7.71/5.67 inference(tautology,[status(thm)],[])).
% 7.71/5.67 tff(13764,plain,
% 7.71/5.67 (v114(constB109)),
% 7.71/5.67 inference(unit_resolution,[status(thm)],[13763, 13762, 13742])).
% 7.71/5.67 tff(13765,plain,
% 7.71/5.67 ((v114(constB109) | v125(constB109)) | (~v114(constB109))),
% 7.71/5.67 inference(tautology,[status(thm)],[])).
% 7.71/5.67 tff(13766,plain,
% 7.71/5.67 (v114(constB109) | v125(constB109)),
% 7.71/5.67 inference(unit_resolution,[status(thm)],[13765, 13764])).
% 7.71/5.67 tff(13767,plain,
% 7.71/5.67 ((~(v113(constB109) <=> (v114(constB109) | v125(constB109)))) | v113(constB109) | (~(v114(constB109) | v125(constB109)))),
% 7.71/5.67 inference(tautology,[status(thm)],[])).
% 7.71/5.67 tff(13768,plain,
% 7.71/5.67 (v113(constB109)),
% 7.71/5.67 inference(unit_resolution,[status(thm)],[13767, 13766, 13740])).
% 7.71/5.67 tff(13769,plain,
% 7.71/5.67 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB109)) <=> v111(constB109))),
% 7.71/5.67 inference(quant_inst,[status(thm)],[])).
% 7.71/5.67 tff(13770,plain,
% 7.71/5.67 ((~v126(constB109)) <=> v111(constB109)),
% 7.71/5.67 inference(unit_resolution,[status(thm)],[13769, 3396])).
% 7.71/5.67 tff(13771,plain,
% 7.71/5.67 ((~((~v126(constB109)) <=> v111(constB109))) | v126(constB109) | v111(constB109)),
% 7.71/5.67 inference(tautology,[status(thm)],[])).
% 7.71/5.67 tff(13772,plain,
% 7.71/5.67 ((~((~v126(constB109)) <=> v111(constB109))) | v126(constB109)),
% 7.71/5.67 inference(unit_resolution,[status(thm)],[13771, 10539])).
% 7.71/5.67 tff(13773,plain,
% 7.71/5.67 (v126(constB109)),
% 7.71/5.67 inference(unit_resolution,[status(thm)],[13772, 13770])).
% 7.71/5.67 tff(13774,plain,
% 7.71/5.67 ((~((~v113(constB109)) | (~v126(constB109)))) | (~v113(constB109)) | (~v126(constB109))),
% 7.71/5.67 inference(tautology,[status(thm)],[])).
% 7.71/5.67 tff(13775,plain,
% 7.71/5.67 ((~((~v113(constB109)) | (~v126(constB109)))) | (~v113(constB109))),
% 7.71/5.67 inference(unit_resolution,[status(thm)],[13774, 13773])).
% 7.71/5.67 tff(13776,plain,
% 7.71/5.67 (~((~v113(constB109)) | (~v126(constB109)))),
% 7.71/5.67 inference(unit_resolution,[status(thm)],[13775, 13768])).
% 7.71/5.67 tff(13777,plain,
% 7.71/5.67 ((~(v112(constB109) <=> (~((~v113(constB109)) | (~v126(constB109)))))) | v112(constB109) | ((~v113(constB109)) | (~v126(constB109)))),
% 7.71/5.67 inference(tautology,[status(thm)],[])).
% 7.71/5.67 tff(13778,plain,
% 7.71/5.67 (v112(constB109)),
% 7.71/5.67 inference(unit_resolution,[status(thm)],[13777, 13776, 13738])).
% 7.71/5.67 tff(13779,plain,
% 7.71/5.67 ((v111(constB109) | v112(constB109)) | (~v112(constB109))),
% 7.71/5.67 inference(tautology,[status(thm)],[])).
% 7.71/5.67 tff(13780,plain,
% 7.71/5.67 (v111(constB109) | v112(constB109)),
% 7.71/5.67 inference(unit_resolution,[status(thm)],[13779, 13778])).
% 7.71/5.67 tff(13781,plain,
% 7.71/5.67 ((~(v108(constB109) <=> (v111(constB109) | v112(constB109)))) | v108(constB109) | (~(v111(constB109) | v112(constB109)))),
% 7.71/5.67 inference(tautology,[status(thm)],[])).
% 7.71/5.67 tff(13782,plain,
% 7.71/5.67 (v108(constB109)),
% 7.71/5.67 inference(unit_resolution,[status(thm)],[13781, 13780, 13736])).
% 7.71/5.67 tff(13783,plain,
% 7.71/5.67 ((~(v110(constB110) <=> v108(constB109))) | v110(constB110) | (~v108(constB109))),
% 7.71/5.67 inference(tautology,[status(thm)],[])).
% 7.71/5.67 tff(13784,plain,
% 7.71/5.67 (v110(constB110)),
% 7.71/5.67 inference(unit_resolution,[status(thm)],[13783, 13782, 13734])).
% 7.71/5.67 tff(13785,plain,
% 7.71/5.67 ((~((~v101(constB110)) | (~v110(constB110)))) | (~v101(constB110)) | (~v110(constB110))),
% 7.71/5.67 inference(tautology,[status(thm)],[])).
% 7.71/5.67 tff(13786,plain,
% 7.71/5.67 (~((~v101(constB110)) | (~v110(constB110)))),
% 7.71/5.67 inference(unit_resolution,[status(thm)],[13785, 13784, 13730])).
% 7.71/5.67 tff(13787,plain,
% 7.71/5.67 ((~(v100(constB110) <=> (~((~v101(constB110)) | (~v110(constB110)))))) | v100(constB110) | ((~v101(constB110)) | (~v110(constB110)))),
% 7.71/5.67 inference(tautology,[status(thm)],[])).
% 7.71/5.67 tff(13788,plain,
% 7.71/5.67 (v100(constB110)),
% 7.71/5.67 inference(unit_resolution,[status(thm)],[13787, 13786, 13702])).
% 7.71/5.67 tff(13789,plain,
% 7.71/5.67 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB110)) | (~(((~v90(constB110, bitIndex0)) <=> v129(constB110, bitIndex0)) | ((~v90(constB110, bitIndex2)) <=> v129(constB110, bitIndex2)) | ((~v90(constB110, bitIndex1)) <=> v129(constB110, bitIndex1)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB110)) | (~(((~v90(constB110, bitIndex0)) <=> v129(constB110, bitIndex0)) | ((~v90(constB110, bitIndex2)) <=> v129(constB110, bitIndex2)) | ((~v90(constB110, bitIndex1)) <=> v129(constB110, bitIndex1)))))),
% 7.71/5.67 inference(rewrite,[status(thm)],[])).
% 7.71/5.67 tff(13790,plain,
% 7.71/5.67 (((~v100(constB110)) | (~(((~v90(constB110, bitIndex2)) <=> v129(constB110, bitIndex2)) | ((~v90(constB110, bitIndex1)) <=> v129(constB110, bitIndex1)) | ((~v90(constB110, bitIndex0)) <=> v129(constB110, bitIndex0))))) <=> ((~v100(constB110)) | (~(((~v90(constB110, bitIndex0)) <=> v129(constB110, bitIndex0)) | ((~v90(constB110, bitIndex2)) <=> v129(constB110, bitIndex2)) | ((~v90(constB110, bitIndex1)) <=> v129(constB110, bitIndex1)))))),
% 7.71/5.67 inference(rewrite,[status(thm)],[])).
% 7.71/5.67 tff(13791,plain,
% 7.71/5.67 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB110)) | (~(((~v90(constB110, bitIndex2)) <=> v129(constB110, bitIndex2)) | ((~v90(constB110, bitIndex1)) <=> v129(constB110, bitIndex1)) | ((~v90(constB110, bitIndex0)) <=> v129(constB110, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB110)) | (~(((~v90(constB110, bitIndex0)) <=> v129(constB110, bitIndex0)) | ((~v90(constB110, bitIndex2)) <=> v129(constB110, bitIndex2)) | ((~v90(constB110, bitIndex1)) <=> v129(constB110, bitIndex1))))))),
% 7.71/5.67 inference(monotonicity,[status(thm)],[13790])).
% 7.71/5.67 tff(13792,plain,
% 7.71/5.67 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB110)) | (~(((~v90(constB110, bitIndex2)) <=> v129(constB110, bitIndex2)) | ((~v90(constB110, bitIndex1)) <=> v129(constB110, bitIndex1)) | ((~v90(constB110, bitIndex0)) <=> v129(constB110, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB110)) | (~(((~v90(constB110, bitIndex0)) <=> v129(constB110, bitIndex0)) | ((~v90(constB110, bitIndex2)) <=> v129(constB110, bitIndex2)) | ((~v90(constB110, bitIndex1)) <=> v129(constB110, bitIndex1)))))),
% 7.71/5.67 inference(transitivity,[status(thm)],[13791, 13789])).
% 7.71/5.67 tff(13793,plain,
% 7.71/5.67 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB110)) | (~(((~v90(constB110, bitIndex2)) <=> v129(constB110, bitIndex2)) | ((~v90(constB110, bitIndex1)) <=> v129(constB110, bitIndex1)) | ((~v90(constB110, bitIndex0)) <=> v129(constB110, bitIndex0)))))),
% 7.71/5.67 inference(quant_inst,[status(thm)],[])).
% 7.71/5.67 tff(13794,plain,
% 7.71/5.67 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB110)) | (~(((~v90(constB110, bitIndex0)) <=> v129(constB110, bitIndex0)) | ((~v90(constB110, bitIndex2)) <=> v129(constB110, bitIndex2)) | ((~v90(constB110, bitIndex1)) <=> v129(constB110, bitIndex1))))),
% 7.71/5.67 inference(modus_ponens,[status(thm)],[13793, 13792])).
% 7.71/5.67 tff(13795,plain,
% 7.71/5.67 ((~v100(constB110)) | (~(((~v90(constB110, bitIndex0)) <=> v129(constB110, bitIndex0)) | ((~v90(constB110, bitIndex2)) <=> v129(constB110, bitIndex2)) | ((~v90(constB110, bitIndex1)) <=> v129(constB110, bitIndex1))))),
% 7.71/5.67 inference(unit_resolution,[status(thm)],[13794, 3429])).
% 7.71/5.67 tff(13796,plain,
% 7.71/5.67 (~(((~v90(constB110, bitIndex0)) <=> v129(constB110, bitIndex0)) | ((~v90(constB110, bitIndex2)) <=> v129(constB110, bitIndex2)) | ((~v90(constB110, bitIndex1)) <=> v129(constB110, bitIndex1)))),
% 7.71/5.67 inference(unit_resolution,[status(thm)],[13795, 13788])).
% 7.71/5.67 tff(13797,plain,
% 7.71/5.67 ((((~v90(constB110, bitIndex0)) <=> v129(constB110, bitIndex0)) | ((~v90(constB110, bitIndex2)) <=> v129(constB110, bitIndex2)) | ((~v90(constB110, bitIndex1)) <=> v129(constB110, bitIndex1))) | (~((~v90(constB110, bitIndex2)) <=> v129(constB110, bitIndex2)))),
% 7.71/5.67 inference(tautology,[status(thm)],[])).
% 7.71/5.67 tff(13798,plain,
% 7.71/5.67 (~((~v90(constB110, bitIndex2)) <=> v129(constB110, bitIndex2))),
% 7.71/5.67 inference(unit_resolution,[status(thm)],[13797, 13796])).
% 7.71/5.67 tff(13799,plain,
% 7.71/5.67 (((~v90(constB110, bitIndex2)) <=> v129(constB110, bitIndex2)) | (~v90(constB110, bitIndex2)) | v129(constB110, bitIndex2)),
% 7.71/5.67 inference(tautology,[status(thm)],[])).
% 7.71/5.67 tff(13800,plain,
% 7.71/5.67 (~v90(constB110, bitIndex2)),
% 7.71/5.67 inference(unit_resolution,[status(thm)],[13799, 13798, 13698])).
% 7.71/5.67 tff(13801,plain,
% 7.71/5.67 (((~v90(constB111, bitIndex2)) <=> v90(constB110, bitIndex2)) | (~v90(constB111, bitIndex2)) | v90(constB110, bitIndex2)),
% 7.71/5.67 inference(tautology,[status(thm)],[])).
% 7.71/5.67 tff(13802,plain,
% 7.71/5.67 (~v90(constB111, bitIndex2)),
% 7.71/5.67 inference(unit_resolution,[status(thm)],[13801, 13800, 10523])).
% 7.71/5.67 tff(13803,plain,
% 7.71/5.67 ((((~v90(constB111, bitIndex1)) <=> v90(constB110, bitIndex1)) | ((~v90(constB111, bitIndex2)) <=> v90(constB110, bitIndex2)) | ((~v90(constB111, bitIndex0)) <=> v90(constB110, bitIndex0))) | (~((~v90(constB111, bitIndex0)) <=> v90(constB110, bitIndex0)))),
% 7.71/5.67 inference(tautology,[status(thm)],[])).
% 7.71/5.67 tff(13804,plain,
% 7.71/5.67 (~((~v90(constB111, bitIndex0)) <=> v90(constB110, bitIndex0))),
% 7.71/5.67 inference(unit_resolution,[status(thm)],[13803, 10521])).
% 7.71/5.67 tff(13805,plain,
% 7.71/5.67 ((((~v129(constB110, bitIndex2)) <=> v127(constB109, bitIndex2)) | ((~v129(constB110, bitIndex1)) <=> v127(constB109, bitIndex1)) | ((~v129(constB110, bitIndex0)) <=> v127(constB109, bitIndex0))) | (~((~v129(constB110, bitIndex0)) <=> v127(constB109, bitIndex0)))),
% 7.71/5.67 inference(tautology,[status(thm)],[])).
% 7.71/5.67 tff(13806,plain,
% 7.71/5.67 (~((~v129(constB110, bitIndex0)) <=> v127(constB109, bitIndex0))),
% 7.71/5.67 inference(unit_resolution,[status(thm)],[13805, 10530])).
% 7.71/5.67 tff(13807,plain,
% 7.71/5.67 ((((~v127(constB109, bitIndex2)) <=> v130(constB109, bitIndex2)) | ((~v127(constB109, bitIndex1)) <=> v130(constB109, bitIndex1)) | ((~v127(constB109, bitIndex0)) <=> v130(constB109, bitIndex0))) | (~((~v127(constB109, bitIndex0)) <=> v130(constB109, bitIndex0)))),
% 7.71/5.67 inference(tautology,[status(thm)],[])).
% 7.71/5.67 tff(13808,plain,
% 7.71/5.67 (~((~v127(constB109, bitIndex0)) <=> v130(constB109, bitIndex0))),
% 7.71/5.67 inference(unit_resolution,[status(thm)],[13807, 10544])).
% 7.71/5.67 tff(13809,plain,
% 7.71/5.67 ((v130(constB109, bitIndex2) | (~v130(constB109, bitIndex1)) | (~v130(constB109, bitIndex0))) | v130(constB109, bitIndex0)),
% 7.71/5.67 inference(tautology,[status(thm)],[])).
% 7.71/5.67 tff(13810,plain,
% 7.71/5.67 (v130(constB109, bitIndex0)),
% 7.71/5.67 inference(unit_resolution,[status(thm)],[13809, 13692])).
% 7.71/5.67 tff(13811,plain,
% 7.71/5.67 (((~v127(constB109, bitIndex0)) <=> v130(constB109, bitIndex0)) | v127(constB109, bitIndex0) | (~v130(constB109, bitIndex0))),
% 7.71/5.67 inference(tautology,[status(thm)],[])).
% 7.71/5.67 tff(13812,plain,
% 7.71/5.67 (v127(constB109, bitIndex0)),
% 7.71/5.67 inference(unit_resolution,[status(thm)],[13811, 13810, 13808])).
% 7.71/5.67 tff(13813,plain,
% 7.71/5.67 (((~v129(constB110, bitIndex0)) <=> v127(constB109, bitIndex0)) | v129(constB110, bitIndex0) | (~v127(constB109, bitIndex0))),
% 7.71/5.67 inference(tautology,[status(thm)],[])).
% 7.71/5.67 tff(13814,plain,
% 7.71/5.67 (v129(constB110, bitIndex0)),
% 7.71/5.67 inference(unit_resolution,[status(thm)],[13813, 13812, 13806])).
% 7.71/5.67 tff(13815,plain,
% 7.71/5.67 ((((~v90(constB110, bitIndex0)) <=> v129(constB110, bitIndex0)) | ((~v90(constB110, bitIndex2)) <=> v129(constB110, bitIndex2)) | ((~v90(constB110, bitIndex1)) <=> v129(constB110, bitIndex1))) | (~((~v90(constB110, bitIndex0)) <=> v129(constB110, bitIndex0)))),
% 7.71/5.67 inference(tautology,[status(thm)],[])).
% 7.71/5.67 tff(13816,plain,
% 7.71/5.67 (~((~v90(constB110, bitIndex0)) <=> v129(constB110, bitIndex0))),
% 7.71/5.67 inference(unit_resolution,[status(thm)],[13815, 13796])).
% 7.71/5.67 tff(13817,plain,
% 7.71/5.67 (((~v90(constB110, bitIndex0)) <=> v129(constB110, bitIndex0)) | v90(constB110, bitIndex0) | (~v129(constB110, bitIndex0))),
% 7.71/5.67 inference(tautology,[status(thm)],[])).
% 7.71/5.67 tff(13818,plain,
% 7.71/5.67 (v90(constB110, bitIndex0)),
% 7.71/5.67 inference(unit_resolution,[status(thm)],[13817, 13816, 13814])).
% 7.71/5.67 tff(13819,plain,
% 7.71/5.67 (((~v90(constB111, bitIndex0)) <=> v90(constB110, bitIndex0)) | v90(constB111, bitIndex0) | (~v90(constB110, bitIndex0))),
% 7.71/5.67 inference(tautology,[status(thm)],[])).
% 7.71/5.67 tff(13820,plain,
% 7.71/5.67 (v90(constB111, bitIndex0)),
% 7.71/5.67 inference(unit_resolution,[status(thm)],[13819, 13818, 13804])).
% 7.71/5.67 tff(13821,plain,
% 7.71/5.67 ((((~v90(constB111, bitIndex1)) <=> v90(constB110, bitIndex1)) | ((~v90(constB111, bitIndex2)) <=> v90(constB110, bitIndex2)) | ((~v90(constB111, bitIndex0)) <=> v90(constB110, bitIndex0))) | (~((~v90(constB111, bitIndex1)) <=> v90(constB110, bitIndex1)))),
% 7.71/5.67 inference(tautology,[status(thm)],[])).
% 7.71/5.67 tff(13822,plain,
% 7.71/5.67 (~((~v90(constB111, bitIndex1)) <=> v90(constB110, bitIndex1))),
% 7.71/5.67 inference(unit_resolution,[status(thm)],[13821, 10521])).
% 7.71/5.67 tff(13823,plain,
% 7.71/5.67 ((((~v129(constB110, bitIndex2)) <=> v127(constB109, bitIndex2)) | ((~v129(constB110, bitIndex1)) <=> v127(constB109, bitIndex1)) | ((~v129(constB110, bitIndex0)) <=> v127(constB109, bitIndex0))) | (~((~v129(constB110, bitIndex1)) <=> v127(constB109, bitIndex1)))),
% 7.71/5.67 inference(tautology,[status(thm)],[])).
% 7.71/5.67 tff(13824,plain,
% 7.71/5.67 (~((~v129(constB110, bitIndex1)) <=> v127(constB109, bitIndex1))),
% 7.71/5.67 inference(unit_resolution,[status(thm)],[13823, 10530])).
% 7.71/5.67 tff(13825,plain,
% 7.71/5.67 ((((~v127(constB109, bitIndex2)) <=> v130(constB109, bitIndex2)) | ((~v127(constB109, bitIndex1)) <=> v130(constB109, bitIndex1)) | ((~v127(constB109, bitIndex0)) <=> v130(constB109, bitIndex0))) | (~((~v127(constB109, bitIndex1)) <=> v130(constB109, bitIndex1)))),
% 7.71/5.67 inference(tautology,[status(thm)],[])).
% 7.71/5.67 tff(13826,plain,
% 7.71/5.67 (~((~v127(constB109, bitIndex1)) <=> v130(constB109, bitIndex1))),
% 7.71/5.67 inference(unit_resolution,[status(thm)],[13825, 10544])).
% 7.71/5.67 tff(13827,plain,
% 7.71/5.67 ((v130(constB109, bitIndex2) | (~v130(constB109, bitIndex1)) | (~v130(constB109, bitIndex0))) | v130(constB109, bitIndex1)),
% 7.71/5.67 inference(tautology,[status(thm)],[])).
% 7.71/5.67 tff(13828,plain,
% 7.71/5.67 (v130(constB109, bitIndex1)),
% 7.71/5.67 inference(unit_resolution,[status(thm)],[13827, 13692])).
% 7.71/5.67 tff(13829,plain,
% 7.71/5.67 (((~v127(constB109, bitIndex1)) <=> v130(constB109, bitIndex1)) | v127(constB109, bitIndex1) | (~v130(constB109, bitIndex1))),
% 7.71/5.67 inference(tautology,[status(thm)],[])).
% 7.71/5.67 tff(13830,plain,
% 7.71/5.67 (v127(constB109, bitIndex1)),
% 7.71/5.67 inference(unit_resolution,[status(thm)],[13829, 13828, 13826])).
% 7.71/5.67 tff(13831,plain,
% 7.71/5.67 (((~v129(constB110, bitIndex1)) <=> v127(constB109, bitIndex1)) | v129(constB110, bitIndex1) | (~v127(constB109, bitIndex1))),
% 7.71/5.67 inference(tautology,[status(thm)],[])).
% 7.71/5.67 tff(13832,plain,
% 7.71/5.67 (v129(constB110, bitIndex1)),
% 7.71/5.67 inference(unit_resolution,[status(thm)],[13831, 13830, 13824])).
% 7.71/5.67 tff(13833,plain,
% 7.71/5.67 ((((~v90(constB110, bitIndex0)) <=> v129(constB110, bitIndex0)) | ((~v90(constB110, bitIndex2)) <=> v129(constB110, bitIndex2)) | ((~v90(constB110, bitIndex1)) <=> v129(constB110, bitIndex1))) | (~((~v90(constB110, bitIndex1)) <=> v129(constB110, bitIndex1)))),
% 7.71/5.67 inference(tautology,[status(thm)],[])).
% 7.71/5.67 tff(13834,plain,
% 7.71/5.67 (~((~v90(constB110, bitIndex1)) <=> v129(constB110, bitIndex1))),
% 7.71/5.67 inference(unit_resolution,[status(thm)],[13833, 13796])).
% 7.71/5.67 tff(13835,plain,
% 7.71/5.67 (((~v90(constB110, bitIndex1)) <=> v129(constB110, bitIndex1)) | v90(constB110, bitIndex1) | (~v129(constB110, bitIndex1))),
% 7.71/5.67 inference(tautology,[status(thm)],[])).
% 7.71/5.67 tff(13836,plain,
% 7.71/5.67 (v90(constB110, bitIndex1)),
% 7.71/5.67 inference(unit_resolution,[status(thm)],[13835, 13834, 13832])).
% 7.71/5.67 tff(13837,plain,
% 7.71/5.67 (((~v90(constB111, bitIndex1)) <=> v90(constB110, bitIndex1)) | v90(constB111, bitIndex1) | (~v90(constB110, bitIndex1))),
% 7.71/5.67 inference(tautology,[status(thm)],[])).
% 7.71/5.67 tff(13838,plain,
% 7.71/5.67 (v90(constB111, bitIndex1)),
% 7.71/5.67 inference(unit_resolution,[status(thm)],[13837, 13836, 13822])).
% 7.71/5.67 tff(13839,plain,
% 7.71/5.67 ((~(v90(constB111, bitIndex2) | (~v90(constB111, bitIndex1)) | (~v90(constB111, bitIndex0)))) | v90(constB111, bitIndex2) | (~v90(constB111, bitIndex1)) | (~v90(constB111, bitIndex0))),
% 7.71/5.67 inference(tautology,[status(thm)],[])).
% 7.71/5.67 tff(13840,plain,
% 7.71/5.67 (~(v90(constB111, bitIndex2) | (~v90(constB111, bitIndex1)) | (~v90(constB111, bitIndex0)))),
% 7.71/5.67 inference(unit_resolution,[status(thm)],[13839, 13838, 13820, 13802])).
% 7.71/5.67 tff(13841,plain,
% 7.71/5.67 ((~(v122(constB111) <=> (~(v90(constB111, bitIndex2) | (~v90(constB111, bitIndex1)) | (~v90(constB111, bitIndex0)))))) | v122(constB111) | (v90(constB111, bitIndex2) | (~v90(constB111, bitIndex1)) | (~v90(constB111, bitIndex0)))),
% 7.71/5.67 inference(tautology,[status(thm)],[])).
% 7.71/5.67 tff(13842,plain,
% 7.71/5.67 (v122(constB111)),
% 7.71/5.67 inference(unit_resolution,[status(thm)],[13841, 13840, 10487])).
% 7.71/5.67 tff(13843,plain,
% 7.71/5.67 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB111)) | (~(v130(constB111, bitIndex1) | v130(constB111, bitIndex0) | (~v130(constB111, bitIndex2)))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | (~v122(constB111)) | (~(v130(constB111, bitIndex1) | v130(constB111, bitIndex0) | (~v130(constB111, bitIndex2)))))),
% 7.71/5.67 inference(rewrite,[status(thm)],[])).
% 7.71/5.67 tff(13844,plain,
% 7.71/5.67 (((~v122(constB111)) | (~(v130(constB111, bitIndex0) | v130(constB111, bitIndex1) | (~v130(constB111, bitIndex2))))) <=> ((~v122(constB111)) | (~(v130(constB111, bitIndex1) | v130(constB111, bitIndex0) | (~v130(constB111, bitIndex2)))))),
% 7.71/5.67 inference(rewrite,[status(thm)],[])).
% 7.71/5.67 tff(13845,plain,
% 7.71/5.67 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB111)) | (~(v130(constB111, bitIndex0) | v130(constB111, bitIndex1) | (~v130(constB111, bitIndex2)))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB111)) | (~(v130(constB111, bitIndex1) | v130(constB111, bitIndex0) | (~v130(constB111, bitIndex2))))))),
% 7.71/5.67 inference(monotonicity,[status(thm)],[13844])).
% 7.71/5.67 tff(13846,plain,
% 7.71/5.67 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB111)) | (~(v130(constB111, bitIndex0) | v130(constB111, bitIndex1) | (~v130(constB111, bitIndex2)))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | (~v122(constB111)) | (~(v130(constB111, bitIndex1) | v130(constB111, bitIndex0) | (~v130(constB111, bitIndex2)))))),
% 7.71/5.67 inference(transitivity,[status(thm)],[13845, 13843])).
% 7.71/5.67 tff(13847,plain,
% 7.71/5.67 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB111)) | (~(v130(constB111, bitIndex0) | v130(constB111, bitIndex1) | (~v130(constB111, bitIndex2)))))),
% 7.71/5.67 inference(quant_inst,[status(thm)],[])).
% 7.71/5.67 tff(13848,plain,
% 7.71/5.67 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | (~v122(constB111)) | (~(v130(constB111, bitIndex1) | v130(constB111, bitIndex0) | (~v130(constB111, bitIndex2))))),
% 7.71/5.67 inference(modus_ponens,[status(thm)],[13847, 13846])).
% 7.71/5.67 tff(13849,plain,
% 7.71/5.67 ((~v122(constB111)) | (~(v130(constB111, bitIndex1) | v130(constB111, bitIndex0) | (~v130(constB111, bitIndex2))))),
% 7.71/5.67 inference(unit_resolution,[status(thm)],[13848, 4223])).
% 7.71/5.67 tff(13850,plain,
% 7.71/5.67 (~(v130(constB111, bitIndex1) | v130(constB111, bitIndex0) | (~v130(constB111, bitIndex2)))),
% 7.71/5.67 inference(unit_resolution,[status(thm)],[13849, 13842])).
% 7.71/5.67 tff(13851,plain,
% 7.71/5.67 ((v130(constB111, bitIndex1) | v130(constB111, bitIndex0) | (~v130(constB111, bitIndex2))) | v130(constB111, bitIndex2)),
% 7.71/5.67 inference(tautology,[status(thm)],[])).
% 7.71/5.67 tff(13852,plain,
% 7.71/5.67 (v130(constB111, bitIndex2)),
% 7.71/5.67 inference(unit_resolution,[status(thm)],[13851, 13850])).
% 7.71/5.67 tff(13853,plain,
% 7.71/5.67 (((~v127(constB111, bitIndex2)) <=> v130(constB111, bitIndex2)) | v127(constB111, bitIndex2) | (~v130(constB111, bitIndex2))),
% 7.71/5.67 inference(tautology,[status(thm)],[])).
% 7.71/5.67 tff(13854,plain,
% 7.71/5.67 (v127(constB111, bitIndex2)),
% 7.71/5.67 inference(unit_resolution,[status(thm)],[13853, 13852, 10480])).
% 7.71/5.67 tff(13855,plain,
% 7.71/5.67 (((~v129(constB112, bitIndex2)) <=> v127(constB111, bitIndex2)) | v129(constB112, bitIndex2) | (~v127(constB111, bitIndex2))),
% 7.71/5.67 inference(tautology,[status(thm)],[])).
% 7.71/5.67 tff(13856,plain,
% 7.71/5.67 (v129(constB112, bitIndex2)),
% 7.71/5.67 inference(unit_resolution,[status(thm)],[13855, 13854, 10466])).
% 7.71/5.67 tff(13857,plain,
% 7.71/5.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB111, constB112)) | (v100(constB112) <=> (~((~v101(constB112)) | (~v110(constB112))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB111, constB112)) | (v100(constB112) <=> (~((~v101(constB112)) | (~v110(constB112))))))),
% 7.71/5.68 inference(rewrite,[status(thm)],[])).
% 7.71/5.68 tff(13858,plain,
% 7.71/5.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB111, constB112)) | (v100(constB112) <=> (~((~v101(constB112)) | (~v110(constB112))))))),
% 7.71/5.68 inference(quant_inst,[status(thm)],[])).
% 7.71/5.68 tff(13859,plain,
% 7.71/5.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB111, constB112)) | (v100(constB112) <=> (~((~v101(constB112)) | (~v110(constB112)))))),
% 7.71/5.68 inference(modus_ponens,[status(thm)],[13858, 13857])).
% 7.71/5.68 tff(13860,plain,
% 7.71/5.68 (v100(constB112) <=> (~((~v101(constB112)) | (~v110(constB112))))),
% 7.71/5.68 inference(unit_resolution,[status(thm)],[13859, 10460, 445])).
% 7.71/5.68 tff(13861,plain,
% 7.71/5.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB111, constB112)) | (v101(constB112) <=> (~((~v1(constB112)) | (~v102(constB112))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB111, constB112)) | (v101(constB112) <=> (~((~v1(constB112)) | (~v102(constB112))))))),
% 7.71/5.68 inference(rewrite,[status(thm)],[])).
% 7.71/5.68 tff(13862,plain,
% 7.71/5.68 (((~nextState(constB111, constB112)) | (v101(constB112) <=> (~((~v102(constB112)) | (~v1(constB112)))))) <=> ((~nextState(constB111, constB112)) | (v101(constB112) <=> (~((~v1(constB112)) | (~v102(constB112))))))),
% 7.71/5.68 inference(rewrite,[status(thm)],[])).
% 7.71/5.68 tff(13863,plain,
% 7.71/5.68 (((~![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) <=> (~((~v1(constB112)) | (~v102(constB112)))))))),
% 7.71/5.68 inference(monotonicity,[status(thm)],[13862])).
% 7.71/5.68 tff(13864,plain,
% 7.71/5.68 (((~![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) <=> (~((~v1(constB112)) | (~v102(constB112))))))),
% 7.71/5.68 inference(transitivity,[status(thm)],[13863, 13861])).
% 7.71/5.68 tff(13865,plain,
% 7.71/5.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB111, constB112)) | (v101(constB112) <=> (~((~v102(constB112)) | (~v1(constB112))))))),
% 7.71/5.68 inference(quant_inst,[status(thm)],[])).
% 7.71/5.68 tff(13866,plain,
% 7.71/5.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB111, constB112)) | (v101(constB112) <=> (~((~v1(constB112)) | (~v102(constB112)))))),
% 7.71/5.68 inference(modus_ponens,[status(thm)],[13865, 13864])).
% 7.71/5.68 tff(13867,plain,
% 7.71/5.68 (v101(constB112) <=> (~((~v1(constB112)) | (~v102(constB112))))),
% 7.71/5.68 inference(unit_resolution,[status(thm)],[13866, 10460, 465])).
% 7.71/5.68 tff(13868,plain,
% 7.71/5.68 (((~![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)))),
% 7.71/5.68 inference(rewrite,[status(thm)],[])).
% 7.71/5.68 tff(13869,plain,
% 7.71/5.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB111, constB112)) | ((~v102(constB112)) <=> v104(constB112)))),
% 7.71/5.68 inference(quant_inst,[status(thm)],[])).
% 7.71/5.68 tff(13870,plain,
% 7.71/5.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB111, constB112)) | ((~v102(constB112)) <=> v104(constB112))),
% 7.71/5.68 inference(modus_ponens,[status(thm)],[13869, 13868])).
% 7.71/5.68 tff(13871,plain,
% 7.71/5.68 ((~v102(constB112)) <=> v104(constB112)),
% 7.71/5.68 inference(unit_resolution,[status(thm)],[13870, 10460, 3244])).
% 7.71/5.68 tff(13872,plain,
% 7.71/5.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB111, constB112)) | (v104(constB112) <=> v1(constB111)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB111, constB112)) | (v104(constB112) <=> v1(constB111)))),
% 7.71/5.68 inference(rewrite,[status(thm)],[])).
% 7.71/5.68 tff(13873,plain,
% 7.71/5.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB111, constB112)) | (v104(constB112) <=> v1(constB111)))),
% 7.71/5.68 inference(quant_inst,[status(thm)],[])).
% 7.71/5.68 tff(13874,plain,
% 7.71/5.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB111, constB112)) | (v104(constB112) <=> v1(constB111))),
% 7.71/5.68 inference(modus_ponens,[status(thm)],[13873, 13872])).
% 7.71/5.68 tff(13875,plain,
% 7.71/5.68 (v104(constB112) <=> v1(constB111)),
% 7.71/5.68 inference(unit_resolution,[status(thm)],[13874, 10460, 3258])).
% 7.71/5.68 tff(13876,plain,
% 7.71/5.68 ((~(v104(constB112) <=> v1(constB111))) | (~v104(constB112)) | v1(constB111)),
% 7.71/5.68 inference(tautology,[status(thm)],[])).
% 7.71/5.68 tff(13877,plain,
% 7.71/5.68 ((~(v104(constB112) <=> v1(constB111))) | (~v104(constB112))),
% 7.71/5.68 inference(unit_resolution,[status(thm)],[13876, 10504])).
% 7.71/5.68 tff(13878,plain,
% 7.71/5.68 (~v104(constB112)),
% 7.71/5.68 inference(unit_resolution,[status(thm)],[13877, 13875])).
% 7.71/5.68 tff(13879,plain,
% 7.71/5.68 ((~((~v102(constB112)) <=> v104(constB112))) | v102(constB112) | v104(constB112)),
% 7.71/5.68 inference(tautology,[status(thm)],[])).
% 7.71/5.68 tff(13880,plain,
% 7.71/5.68 (v102(constB112)),
% 7.71/5.68 inference(unit_resolution,[status(thm)],[13879, 13878, 13871])).
% 7.71/5.68 tff(13881,plain,
% 7.71/5.68 (v1(constB112) <=> v1(constB112)),
% 7.71/5.68 inference(rewrite,[status(thm)],[])).
% 7.71/5.68 tff(13882,axiom,(v1(constB112)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_112')).
% 7.71/5.68 tff(13883,plain,
% 7.71/5.68 (v1(constB112)),
% 7.71/5.68 inference(modus_ponens,[status(thm)],[13882, 13881])).
% 7.71/5.68 tff(13884,plain,
% 7.71/5.68 ((~((~v1(constB112)) | (~v102(constB112)))) | (~v1(constB112)) | (~v102(constB112))),
% 7.71/5.68 inference(tautology,[status(thm)],[])).
% 7.71/5.68 tff(13885,plain,
% 7.71/5.68 ((~((~v1(constB112)) | (~v102(constB112)))) | (~v102(constB112))),
% 7.71/5.68 inference(unit_resolution,[status(thm)],[13884, 13883])).
% 7.71/5.68 tff(13886,plain,
% 7.71/5.68 (~((~v1(constB112)) | (~v102(constB112)))),
% 7.71/5.68 inference(unit_resolution,[status(thm)],[13885, 13880])).
% 7.71/5.68 tff(13887,plain,
% 7.71/5.68 ((~(v101(constB112) <=> (~((~v1(constB112)) | (~v102(constB112)))))) | v101(constB112) | ((~v1(constB112)) | (~v102(constB112)))),
% 7.71/5.68 inference(tautology,[status(thm)],[])).
% 7.71/5.68 tff(13888,plain,
% 7.71/5.68 (v101(constB112)),
% 7.71/5.68 inference(unit_resolution,[status(thm)],[13887, 13886, 13867])).
% 7.71/5.68 tff(13889,plain,
% 7.71/5.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB111, constB112)) | (v110(constB112) <=> v108(constB111)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB111, constB112)) | (v110(constB112) <=> v108(constB111)))),
% 7.71/5.68 inference(rewrite,[status(thm)],[])).
% 7.71/5.68 tff(13890,plain,
% 7.71/5.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB111, constB112)) | (v110(constB112) <=> v108(constB111)))),
% 7.71/5.68 inference(quant_inst,[status(thm)],[])).
% 7.71/5.68 tff(13891,plain,
% 7.71/5.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB111, constB112)) | (v110(constB112) <=> v108(constB111))),
% 7.71/5.68 inference(modus_ponens,[status(thm)],[13890, 13889])).
% 7.71/5.68 tff(13892,plain,
% 7.71/5.68 (v110(constB112) <=> v108(constB111)),
% 7.71/5.68 inference(unit_resolution,[status(thm)],[13891, 10460, 3285])).
% 7.71/5.68 tff(13893,plain,
% 7.71/5.68 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB111) <=> (v111(constB111) | v112(constB111)))),
% 7.71/5.68 inference(quant_inst,[status(thm)],[])).
% 7.71/5.68 tff(13894,plain,
% 7.71/5.68 (v108(constB111) <=> (v111(constB111) | v112(constB111))),
% 7.71/5.68 inference(unit_resolution,[status(thm)],[13893, 3296])).
% 7.71/5.68 tff(13895,plain,
% 7.71/5.68 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB111) <=> (~((~v113(constB111)) | (~v126(constB111)))))),
% 7.71/5.68 inference(quant_inst,[status(thm)],[])).
% 7.71/5.68 tff(13896,plain,
% 7.71/5.68 (v112(constB111) <=> (~((~v113(constB111)) | (~v126(constB111))))),
% 7.71/5.68 inference(unit_resolution,[status(thm)],[13895, 3308])).
% 7.71/5.68 tff(13897,plain,
% 7.71/5.68 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB111) <=> (v114(constB111) | v125(constB111)))),
% 7.71/5.68 inference(quant_inst,[status(thm)],[])).
% 7.71/5.68 tff(13898,plain,
% 7.71/5.68 (v113(constB111) <=> (v114(constB111) | v125(constB111))),
% 7.71/5.68 inference(unit_resolution,[status(thm)],[13897, 3317])).
% 7.71/5.68 tff(13899,plain,
% 7.71/5.68 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB111) <=> (v115(constB111) | v124(constB111)))),
% 7.71/5.68 inference(quant_inst,[status(thm)],[])).
% 7.71/5.68 tff(13900,plain,
% 7.71/5.68 (v114(constB111) <=> (v115(constB111) | v124(constB111))),
% 7.71/5.68 inference(unit_resolution,[status(thm)],[13899, 3326])).
% 7.71/5.68 tff(13901,plain,
% 7.71/5.68 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB111) <=> (v116(constB111) | v123(constB111)))),
% 7.71/5.68 inference(quant_inst,[status(thm)],[])).
% 7.71/5.68 tff(13902,plain,
% 7.71/5.68 (v115(constB111) <=> (v116(constB111) | v123(constB111))),
% 7.71/5.68 inference(unit_resolution,[status(thm)],[13901, 3335])).
% 7.71/5.68 tff(13903,plain,
% 7.71/5.68 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB111) <=> (v117(constB111) | v122(constB111)))),
% 7.71/5.68 inference(quant_inst,[status(thm)],[])).
% 7.71/5.68 tff(13904,plain,
% 7.71/5.68 (v116(constB111) <=> (v117(constB111) | v122(constB111))),
% 7.71/5.68 inference(unit_resolution,[status(thm)],[13903, 3344])).
% 7.71/5.68 tff(13905,plain,
% 7.71/5.68 ((v117(constB111) | v122(constB111)) | (~v122(constB111))),
% 7.71/5.68 inference(tautology,[status(thm)],[])).
% 7.71/5.68 tff(13906,plain,
% 7.71/5.68 (v117(constB111) | v122(constB111)),
% 7.71/5.68 inference(unit_resolution,[status(thm)],[13905, 13842])).
% 7.71/5.68 tff(13907,plain,
% 7.71/5.68 ((~(v116(constB111) <=> (v117(constB111) | v122(constB111)))) | v116(constB111) | (~(v117(constB111) | v122(constB111)))),
% 7.71/5.68 inference(tautology,[status(thm)],[])).
% 7.71/5.68 tff(13908,plain,
% 7.71/5.68 (v116(constB111)),
% 7.71/5.68 inference(unit_resolution,[status(thm)],[13907, 13906, 13904])).
% 7.71/5.68 tff(13909,plain,
% 7.71/5.68 ((v116(constB111) | v123(constB111)) | (~v116(constB111))),
% 7.71/5.68 inference(tautology,[status(thm)],[])).
% 7.71/5.68 tff(13910,plain,
% 7.71/5.68 (v116(constB111) | v123(constB111)),
% 7.71/5.68 inference(unit_resolution,[status(thm)],[13909, 13908])).
% 7.71/5.68 tff(13911,plain,
% 7.71/5.68 ((~(v115(constB111) <=> (v116(constB111) | v123(constB111)))) | v115(constB111) | (~(v116(constB111) | v123(constB111)))),
% 7.71/5.68 inference(tautology,[status(thm)],[])).
% 7.71/5.68 tff(13912,plain,
% 7.71/5.68 (v115(constB111)),
% 7.71/5.68 inference(unit_resolution,[status(thm)],[13911, 13910, 13902])).
% 7.71/5.68 tff(13913,plain,
% 7.71/5.68 ((v115(constB111) | v124(constB111)) | (~v115(constB111))),
% 7.71/5.68 inference(tautology,[status(thm)],[])).
% 7.71/5.68 tff(13914,plain,
% 7.71/5.68 (v115(constB111) | v124(constB111)),
% 7.71/5.68 inference(unit_resolution,[status(thm)],[13913, 13912])).
% 7.71/5.68 tff(13915,plain,
% 7.71/5.68 ((~(v114(constB111) <=> (v115(constB111) | v124(constB111)))) | v114(constB111) | (~(v115(constB111) | v124(constB111)))),
% 7.71/5.68 inference(tautology,[status(thm)],[])).
% 7.71/5.68 tff(13916,plain,
% 7.71/5.68 (v114(constB111)),
% 7.71/5.68 inference(unit_resolution,[status(thm)],[13915, 13914, 13900])).
% 7.71/5.68 tff(13917,plain,
% 7.71/5.68 ((v114(constB111) | v125(constB111)) | (~v114(constB111))),
% 7.71/5.68 inference(tautology,[status(thm)],[])).
% 7.71/5.68 tff(13918,plain,
% 7.71/5.68 (v114(constB111) | v125(constB111)),
% 7.71/5.68 inference(unit_resolution,[status(thm)],[13917, 13916])).
% 7.71/5.68 tff(13919,plain,
% 7.71/5.68 ((~(v113(constB111) <=> (v114(constB111) | v125(constB111)))) | v113(constB111) | (~(v114(constB111) | v125(constB111)))),
% 7.71/5.68 inference(tautology,[status(thm)],[])).
% 7.71/5.68 tff(13920,plain,
% 7.71/5.68 (v113(constB111)),
% 7.71/5.68 inference(unit_resolution,[status(thm)],[13919, 13918, 13898])).
% 7.71/5.68 tff(13921,plain,
% 7.71/5.68 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB111)) <=> v111(constB111))),
% 7.71/5.68 inference(quant_inst,[status(thm)],[])).
% 7.71/5.68 tff(13922,plain,
% 7.71/5.68 ((~v126(constB111)) <=> v111(constB111)),
% 7.71/5.68 inference(unit_resolution,[status(thm)],[13921, 3396])).
% 7.71/5.68 tff(13923,plain,
% 7.71/5.68 ((~((~v126(constB111)) <=> v111(constB111))) | v126(constB111) | v111(constB111)),
% 7.71/5.68 inference(tautology,[status(thm)],[])).
% 7.71/5.68 tff(13924,plain,
% 7.71/5.68 ((~((~v126(constB111)) <=> v111(constB111))) | v126(constB111)),
% 7.71/5.68 inference(unit_resolution,[status(thm)],[13923, 10473])).
% 7.71/5.68 tff(13925,plain,
% 7.71/5.68 (v126(constB111)),
% 7.71/5.68 inference(unit_resolution,[status(thm)],[13924, 13922])).
% 7.71/5.68 tff(13926,plain,
% 7.71/5.68 ((~((~v113(constB111)) | (~v126(constB111)))) | (~v113(constB111)) | (~v126(constB111))),
% 7.71/5.68 inference(tautology,[status(thm)],[])).
% 7.71/5.68 tff(13927,plain,
% 7.71/5.68 ((~((~v113(constB111)) | (~v126(constB111)))) | (~v113(constB111))),
% 7.71/5.68 inference(unit_resolution,[status(thm)],[13926, 13925])).
% 7.71/5.68 tff(13928,plain,
% 7.71/5.68 (~((~v113(constB111)) | (~v126(constB111)))),
% 7.71/5.68 inference(unit_resolution,[status(thm)],[13927, 13920])).
% 7.71/5.68 tff(13929,plain,
% 7.71/5.68 ((~(v112(constB111) <=> (~((~v113(constB111)) | (~v126(constB111)))))) | v112(constB111) | ((~v113(constB111)) | (~v126(constB111)))),
% 7.71/5.68 inference(tautology,[status(thm)],[])).
% 7.71/5.68 tff(13930,plain,
% 7.71/5.68 (v112(constB111)),
% 7.71/5.68 inference(unit_resolution,[status(thm)],[13929, 13928, 13896])).
% 7.71/5.68 tff(13931,plain,
% 7.71/5.68 ((v111(constB111) | v112(constB111)) | (~v112(constB111))),
% 7.71/5.68 inference(tautology,[status(thm)],[])).
% 7.71/5.68 tff(13932,plain,
% 7.71/5.68 (v111(constB111) | v112(constB111)),
% 7.71/5.68 inference(unit_resolution,[status(thm)],[13931, 13930])).
% 7.71/5.68 tff(13933,plain,
% 7.71/5.68 ((~(v108(constB111) <=> (v111(constB111) | v112(constB111)))) | v108(constB111) | (~(v111(constB111) | v112(constB111)))),
% 7.71/5.68 inference(tautology,[status(thm)],[])).
% 7.71/5.68 tff(13934,plain,
% 7.71/5.68 (v108(constB111)),
% 7.71/5.68 inference(unit_resolution,[status(thm)],[13933, 13932, 13894])).
% 7.71/5.68 tff(13935,plain,
% 7.71/5.68 ((~(v110(constB112) <=> v108(constB111))) | v110(constB112) | (~v108(constB111))),
% 7.71/5.68 inference(tautology,[status(thm)],[])).
% 7.71/5.68 tff(13936,plain,
% 7.71/5.68 (v110(constB112)),
% 7.71/5.68 inference(unit_resolution,[status(thm)],[13935, 13934, 13892])).
% 7.71/5.68 tff(13937,plain,
% 7.71/5.68 ((~((~v101(constB112)) | (~v110(constB112)))) | (~v101(constB112)) | (~v110(constB112))),
% 7.71/5.68 inference(tautology,[status(thm)],[])).
% 7.71/5.68 tff(13938,plain,
% 7.71/5.68 (~((~v101(constB112)) | (~v110(constB112)))),
% 7.71/5.68 inference(unit_resolution,[status(thm)],[13937, 13936, 13888])).
% 7.71/5.68 tff(13939,plain,
% 7.71/5.68 ((~(v100(constB112) <=> (~((~v101(constB112)) | (~v110(constB112)))))) | v100(constB112) | ((~v101(constB112)) | (~v110(constB112)))),
% 7.71/5.68 inference(tautology,[status(thm)],[])).
% 7.71/5.68 tff(13940,plain,
% 7.71/5.68 (v100(constB112)),
% 7.71/5.68 inference(unit_resolution,[status(thm)],[13939, 13938, 13860])).
% 7.71/5.68 tff(13941,plain,
% 7.71/5.68 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB112)) | (~(((~v90(constB112, bitIndex2)) <=> v129(constB112, bitIndex2)) | ((~v90(constB112, bitIndex1)) <=> v129(constB112, bitIndex1)) | ((~v90(constB112, bitIndex0)) <=> v129(constB112, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB112)) | (~(((~v90(constB112, bitIndex2)) <=> v129(constB112, bitIndex2)) | ((~v90(constB112, bitIndex1)) <=> v129(constB112, bitIndex1)) | ((~v90(constB112, bitIndex0)) <=> v129(constB112, bitIndex0)))))),
% 7.71/5.68 inference(rewrite,[status(thm)],[])).
% 7.71/5.68 tff(13942,plain,
% 7.71/5.68 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB112)) | (~(((~v90(constB112, bitIndex2)) <=> v129(constB112, bitIndex2)) | ((~v90(constB112, bitIndex1)) <=> v129(constB112, bitIndex1)) | ((~v90(constB112, bitIndex0)) <=> v129(constB112, bitIndex0)))))),
% 7.71/5.68 inference(quant_inst,[status(thm)],[])).
% 7.71/5.68 tff(13943,plain,
% 7.71/5.68 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB112)) | (~(((~v90(constB112, bitIndex2)) <=> v129(constB112, bitIndex2)) | ((~v90(constB112, bitIndex1)) <=> v129(constB112, bitIndex1)) | ((~v90(constB112, bitIndex0)) <=> v129(constB112, bitIndex0))))),
% 7.71/5.68 inference(modus_ponens,[status(thm)],[13942, 13941])).
% 7.71/5.68 tff(13944,plain,
% 7.71/5.68 ((~v100(constB112)) | (~(((~v90(constB112, bitIndex2)) <=> v129(constB112, bitIndex2)) | ((~v90(constB112, bitIndex1)) <=> v129(constB112, bitIndex1)) | ((~v90(constB112, bitIndex0)) <=> v129(constB112, bitIndex0))))),
% 7.71/5.68 inference(unit_resolution,[status(thm)],[13943, 3429])).
% 7.71/5.68 tff(13945,plain,
% 7.71/5.68 (~(((~v90(constB112, bitIndex2)) <=> v129(constB112, bitIndex2)) | ((~v90(constB112, bitIndex1)) <=> v129(constB112, bitIndex1)) | ((~v90(constB112, bitIndex0)) <=> v129(constB112, bitIndex0)))),
% 7.71/5.68 inference(unit_resolution,[status(thm)],[13944, 13940])).
% 7.71/5.68 tff(13946,plain,
% 7.71/5.68 ((((~v90(constB112, bitIndex2)) <=> v129(constB112, bitIndex2)) | ((~v90(constB112, bitIndex1)) <=> v129(constB112, bitIndex1)) | ((~v90(constB112, bitIndex0)) <=> v129(constB112, bitIndex0))) | (~((~v90(constB112, bitIndex2)) <=> v129(constB112, bitIndex2)))),
% 7.71/5.68 inference(tautology,[status(thm)],[])).
% 7.71/5.68 tff(13947,plain,
% 7.71/5.68 (~((~v90(constB112, bitIndex2)) <=> v129(constB112, bitIndex2))),
% 7.71/5.68 inference(unit_resolution,[status(thm)],[13946, 13945])).
% 7.71/5.68 tff(13948,plain,
% 7.71/5.68 (((~v90(constB112, bitIndex2)) <=> v129(constB112, bitIndex2)) | v90(constB112, bitIndex2) | (~v129(constB112, bitIndex2))),
% 7.71/5.68 inference(tautology,[status(thm)],[])).
% 7.71/5.68 tff(13949,plain,
% 7.71/5.68 (v90(constB112, bitIndex2)),
% 7.71/5.68 inference(unit_resolution,[status(thm)],[13948, 13947, 13856])).
% 7.71/5.68 tff(13950,plain,
% 7.71/5.68 (((~v90(constB113, bitIndex2)) <=> v90(constB112, bitIndex2)) | v90(constB113, bitIndex2) | (~v90(constB112, bitIndex2))),
% 7.71/5.68 inference(tautology,[status(thm)],[])).
% 7.71/5.68 tff(13951,plain,
% 7.71/5.68 (v90(constB113, bitIndex2)),
% 7.71/5.68 inference(unit_resolution,[status(thm)],[13950, 13949, 10457])).
% 7.71/5.68 tff(13952,plain,
% 7.71/5.68 ((((~v90(constB113, bitIndex1)) <=> v90(constB112, bitIndex1)) | ((~v90(constB113, bitIndex2)) <=> v90(constB112, bitIndex2)) | ((~v90(constB113, bitIndex0)) <=> v90(constB112, bitIndex0))) | (~((~v90(constB113, bitIndex0)) <=> v90(constB112, bitIndex0)))),
% 7.71/5.68 inference(tautology,[status(thm)],[])).
% 7.71/5.68 tff(13953,plain,
% 7.71/5.68 (~((~v90(constB113, bitIndex0)) <=> v90(constB112, bitIndex0))),
% 7.71/5.68 inference(unit_resolution,[status(thm)],[13952, 10455])).
% 7.71/5.68 tff(13954,plain,
% 7.71/5.68 ((((~v129(constB112, bitIndex2)) <=> v127(constB111, bitIndex2)) | ((~v129(constB112, bitIndex1)) <=> v127(constB111, bitIndex1)) | ((~v129(constB112, bitIndex0)) <=> v127(constB111, bitIndex0))) | (~((~v129(constB112, bitIndex0)) <=> v127(constB111, bitIndex0)))),
% 7.71/5.68 inference(tautology,[status(thm)],[])).
% 7.71/5.68 tff(13955,plain,
% 7.71/5.68 (~((~v129(constB112, bitIndex0)) <=> v127(constB111, bitIndex0))),
% 7.71/5.68 inference(unit_resolution,[status(thm)],[13954, 10464])).
% 7.71/5.68 tff(13956,plain,
% 7.71/5.68 ((((~v127(constB111, bitIndex2)) <=> v130(constB111, bitIndex2)) | ((~v127(constB111, bitIndex1)) <=> v130(constB111, bitIndex1)) | ((~v127(constB111, bitIndex0)) <=> v130(constB111, bitIndex0))) | (~((~v127(constB111, bitIndex0)) <=> v130(constB111, bitIndex0)))),
% 7.71/5.68 inference(tautology,[status(thm)],[])).
% 7.71/5.68 tff(13957,plain,
% 7.71/5.68 (~((~v127(constB111, bitIndex0)) <=> v130(constB111, bitIndex0))),
% 7.71/5.68 inference(unit_resolution,[status(thm)],[13956, 10478])).
% 7.71/5.68 tff(13958,plain,
% 7.71/5.68 ((v130(constB111, bitIndex1) | v130(constB111, bitIndex0) | (~v130(constB111, bitIndex2))) | (~v130(constB111, bitIndex0))),
% 7.71/5.68 inference(tautology,[status(thm)],[])).
% 7.71/5.68 tff(13959,plain,
% 7.71/5.68 (~v130(constB111, bitIndex0)),
% 7.71/5.68 inference(unit_resolution,[status(thm)],[13958, 13850])).
% 7.71/5.68 tff(13960,plain,
% 7.71/5.68 (((~v127(constB111, bitIndex0)) <=> v130(constB111, bitIndex0)) | (~v127(constB111, bitIndex0)) | v130(constB111, bitIndex0)),
% 7.71/5.68 inference(tautology,[status(thm)],[])).
% 7.71/5.68 tff(13961,plain,
% 7.71/5.68 (~v127(constB111, bitIndex0)),
% 7.71/5.68 inference(unit_resolution,[status(thm)],[13960, 13959, 13957])).
% 7.71/5.68 tff(13962,plain,
% 7.71/5.68 (((~v129(constB112, bitIndex0)) <=> v127(constB111, bitIndex0)) | (~v129(constB112, bitIndex0)) | v127(constB111, bitIndex0)),
% 7.71/5.68 inference(tautology,[status(thm)],[])).
% 7.71/5.68 tff(13963,plain,
% 7.71/5.68 (~v129(constB112, bitIndex0)),
% 7.71/5.68 inference(unit_resolution,[status(thm)],[13962, 13961, 13955])).
% 7.71/5.68 tff(13964,plain,
% 7.71/5.68 ((((~v90(constB112, bitIndex2)) <=> v129(constB112, bitIndex2)) | ((~v90(constB112, bitIndex1)) <=> v129(constB112, bitIndex1)) | ((~v90(constB112, bitIndex0)) <=> v129(constB112, bitIndex0))) | (~((~v90(constB112, bitIndex0)) <=> v129(constB112, bitIndex0)))),
% 7.71/5.68 inference(tautology,[status(thm)],[])).
% 7.71/5.68 tff(13965,plain,
% 7.71/5.68 (~((~v90(constB112, bitIndex0)) <=> v129(constB112, bitIndex0))),
% 7.71/5.68 inference(unit_resolution,[status(thm)],[13964, 13945])).
% 7.71/5.68 tff(13966,plain,
% 7.71/5.68 (((~v90(constB112, bitIndex0)) <=> v129(constB112, bitIndex0)) | (~v90(constB112, bitIndex0)) | v129(constB112, bitIndex0)),
% 7.71/5.68 inference(tautology,[status(thm)],[])).
% 7.71/5.68 tff(13967,plain,
% 7.71/5.68 (~v90(constB112, bitIndex0)),
% 7.71/5.68 inference(unit_resolution,[status(thm)],[13966, 13965, 13963])).
% 7.71/5.68 tff(13968,plain,
% 7.71/5.68 (((~v90(constB113, bitIndex0)) <=> v90(constB112, bitIndex0)) | (~v90(constB113, bitIndex0)) | v90(constB112, bitIndex0)),
% 7.71/5.68 inference(tautology,[status(thm)],[])).
% 7.71/5.68 tff(13969,plain,
% 7.71/5.68 (~v90(constB113, bitIndex0)),
% 7.71/5.68 inference(unit_resolution,[status(thm)],[13968, 13967, 13953])).
% 7.71/5.68 tff(13970,plain,
% 7.71/5.68 ((((~v90(constB113, bitIndex1)) <=> v90(constB112, bitIndex1)) | ((~v90(constB113, bitIndex2)) <=> v90(constB112, bitIndex2)) | ((~v90(constB113, bitIndex0)) <=> v90(constB112, bitIndex0))) | (~((~v90(constB113, bitIndex1)) <=> v90(constB112, bitIndex1)))),
% 7.71/5.68 inference(tautology,[status(thm)],[])).
% 7.71/5.68 tff(13971,plain,
% 7.71/5.68 (~((~v90(constB113, bitIndex1)) <=> v90(constB112, bitIndex1))),
% 7.71/5.68 inference(unit_resolution,[status(thm)],[13970, 10455])).
% 7.71/5.68 tff(13972,plain,
% 7.71/5.68 ((((~v129(constB112, bitIndex2)) <=> v127(constB111, bitIndex2)) | ((~v129(constB112, bitIndex1)) <=> v127(constB111, bitIndex1)) | ((~v129(constB112, bitIndex0)) <=> v127(constB111, bitIndex0))) | (~((~v129(constB112, bitIndex1)) <=> v127(constB111, bitIndex1)))),
% 7.71/5.68 inference(tautology,[status(thm)],[])).
% 7.71/5.68 tff(13973,plain,
% 7.71/5.68 (~((~v129(constB112, bitIndex1)) <=> v127(constB111, bitIndex1))),
% 7.71/5.68 inference(unit_resolution,[status(thm)],[13972, 10464])).
% 7.71/5.68 tff(13974,plain,
% 7.71/5.68 ((((~v127(constB111, bitIndex2)) <=> v130(constB111, bitIndex2)) | ((~v127(constB111, bitIndex1)) <=> v130(constB111, bitIndex1)) | ((~v127(constB111, bitIndex0)) <=> v130(constB111, bitIndex0))) | (~((~v127(constB111, bitIndex1)) <=> v130(constB111, bitIndex1)))),
% 7.71/5.68 inference(tautology,[status(thm)],[])).
% 7.71/5.68 tff(13975,plain,
% 7.71/5.68 (~((~v127(constB111, bitIndex1)) <=> v130(constB111, bitIndex1))),
% 7.71/5.68 inference(unit_resolution,[status(thm)],[13974, 10478])).
% 7.71/5.68 tff(13976,plain,
% 7.71/5.68 ((v130(constB111, bitIndex1) | v130(constB111, bitIndex0) | (~v130(constB111, bitIndex2))) | (~v130(constB111, bitIndex1))),
% 7.71/5.68 inference(tautology,[status(thm)],[])).
% 7.71/5.68 tff(13977,plain,
% 7.71/5.68 (~v130(constB111, bitIndex1)),
% 7.71/5.68 inference(unit_resolution,[status(thm)],[13976, 13850])).
% 7.71/5.68 tff(13978,plain,
% 7.71/5.68 (((~v127(constB111, bitIndex1)) <=> v130(constB111, bitIndex1)) | (~v127(constB111, bitIndex1)) | v130(constB111, bitIndex1)),
% 7.71/5.68 inference(tautology,[status(thm)],[])).
% 7.71/5.68 tff(13979,plain,
% 7.71/5.68 (~v127(constB111, bitIndex1)),
% 7.71/5.68 inference(unit_resolution,[status(thm)],[13978, 13977, 13975])).
% 7.71/5.68 tff(13980,plain,
% 7.71/5.68 (((~v129(constB112, bitIndex1)) <=> v127(constB111, bitIndex1)) | (~v129(constB112, bitIndex1)) | v127(constB111, bitIndex1)),
% 7.71/5.68 inference(tautology,[status(thm)],[])).
% 7.71/5.68 tff(13981,plain,
% 7.71/5.68 (~v129(constB112, bitIndex1)),
% 7.71/5.68 inference(unit_resolution,[status(thm)],[13980, 13979, 13973])).
% 7.71/5.68 tff(13982,plain,
% 7.71/5.68 ((((~v90(constB112, bitIndex2)) <=> v129(constB112, bitIndex2)) | ((~v90(constB112, bitIndex1)) <=> v129(constB112, bitIndex1)) | ((~v90(constB112, bitIndex0)) <=> v129(constB112, bitIndex0))) | (~((~v90(constB112, bitIndex1)) <=> v129(constB112, bitIndex1)))),
% 7.71/5.68 inference(tautology,[status(thm)],[])).
% 7.71/5.68 tff(13983,plain,
% 7.71/5.68 (~((~v90(constB112, bitIndex1)) <=> v129(constB112, bitIndex1))),
% 7.71/5.68 inference(unit_resolution,[status(thm)],[13982, 13945])).
% 7.71/5.68 tff(13984,plain,
% 7.71/5.68 (((~v90(constB112, bitIndex1)) <=> v129(constB112, bitIndex1)) | (~v90(constB112, bitIndex1)) | v129(constB112, bitIndex1)),
% 7.71/5.68 inference(tautology,[status(thm)],[])).
% 7.71/5.68 tff(13985,plain,
% 7.71/5.68 (~v90(constB112, bitIndex1)),
% 7.71/5.68 inference(unit_resolution,[status(thm)],[13984, 13983, 13981])).
% 7.71/5.68 tff(13986,plain,
% 7.71/5.68 (((~v90(constB113, bitIndex1)) <=> v90(constB112, bitIndex1)) | (~v90(constB113, bitIndex1)) | v90(constB112, bitIndex1)),
% 7.71/5.68 inference(tautology,[status(thm)],[])).
% 7.71/5.68 tff(13987,plain,
% 7.71/5.68 (~v90(constB113, bitIndex1)),
% 7.71/5.68 inference(unit_resolution,[status(thm)],[13986, 13985, 13971])).
% 7.71/5.68 tff(13988,plain,
% 7.71/5.68 ((~(v90(constB113, bitIndex1) | v90(constB113, bitIndex0) | (~v90(constB113, bitIndex2)))) | v90(constB113, bitIndex1) | v90(constB113, bitIndex0) | (~v90(constB113, bitIndex2))),
% 7.71/5.68 inference(tautology,[status(thm)],[])).
% 7.71/5.68 tff(13989,plain,
% 7.71/5.68 (~(v90(constB113, bitIndex1) | v90(constB113, bitIndex0) | (~v90(constB113, bitIndex2)))),
% 7.71/5.68 inference(unit_resolution,[status(thm)],[13988, 13987, 13969, 13951])).
% 7.71/5.68 tff(13990,plain,
% 7.71/5.68 ((~(v123(constB113) <=> (~(v90(constB113, bitIndex1) | v90(constB113, bitIndex0) | (~v90(constB113, bitIndex2)))))) | v123(constB113) | (v90(constB113, bitIndex1) | v90(constB113, bitIndex0) | (~v90(constB113, bitIndex2)))),
% 7.71/5.68 inference(tautology,[status(thm)],[])).
% 7.71/5.68 tff(13991,plain,
% 7.71/5.68 (v123(constB113)),
% 7.71/5.68 inference(unit_resolution,[status(thm)],[13990, 13989, 10421])).
% 7.71/5.68 tff(13992,plain,
% 7.71/5.68 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | ((~v123(constB113)) | (~(v130(constB113, bitIndex0) | (~v130(constB113, bitIndex2)) | (~v130(constB113, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | (~v123(constB113)) | (~(v130(constB113, bitIndex0) | (~v130(constB113, bitIndex2)) | (~v130(constB113, bitIndex1)))))),
% 7.71/5.68 inference(rewrite,[status(thm)],[])).
% 7.71/5.68 tff(13993,plain,
% 7.71/5.68 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | ((~v123(constB113)) | (~(v130(constB113, bitIndex0) | (~v130(constB113, bitIndex2)) | (~v130(constB113, bitIndex1)))))),
% 7.71/5.68 inference(quant_inst,[status(thm)],[])).
% 7.71/5.68 tff(13994,plain,
% 7.71/5.68 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | (~v123(constB113)) | (~(v130(constB113, bitIndex0) | (~v130(constB113, bitIndex2)) | (~v130(constB113, bitIndex1))))),
% 7.71/5.68 inference(modus_ponens,[status(thm)],[13993, 13992])).
% 7.71/5.68 tff(13995,plain,
% 7.71/5.68 ((~v123(constB113)) | (~(v130(constB113, bitIndex0) | (~v130(constB113, bitIndex2)) | (~v130(constB113, bitIndex1))))),
% 7.71/5.68 inference(unit_resolution,[status(thm)],[13994, 3496])).
% 7.71/5.68 tff(13996,plain,
% 7.71/5.68 (~(v130(constB113, bitIndex0) | (~v130(constB113, bitIndex2)) | (~v130(constB113, bitIndex1)))),
% 7.71/5.68 inference(unit_resolution,[status(thm)],[13995, 13991])).
% 7.71/5.68 tff(13997,plain,
% 7.71/5.68 ((v130(constB113, bitIndex0) | (~v130(constB113, bitIndex2)) | (~v130(constB113, bitIndex1))) | v130(constB113, bitIndex2)),
% 7.71/5.68 inference(tautology,[status(thm)],[])).
% 7.71/5.68 tff(13998,plain,
% 7.71/5.68 (v130(constB113, bitIndex2)),
% 7.71/5.68 inference(unit_resolution,[status(thm)],[13997, 13996])).
% 7.71/5.68 tff(13999,plain,
% 7.71/5.68 (((~v127(constB113, bitIndex2)) <=> v130(constB113, bitIndex2)) | v127(constB113, bitIndex2) | (~v130(constB113, bitIndex2))),
% 7.71/5.68 inference(tautology,[status(thm)],[])).
% 7.71/5.68 tff(14000,plain,
% 7.71/5.68 (v127(constB113, bitIndex2)),
% 7.71/5.68 inference(unit_resolution,[status(thm)],[13999, 13998, 10414])).
% 7.71/5.68 tff(14001,plain,
% 7.71/5.68 (((~v129(constB114, bitIndex2)) <=> v127(constB113, bitIndex2)) | v129(constB114, bitIndex2) | (~v127(constB113, bitIndex2))),
% 7.71/5.68 inference(tautology,[status(thm)],[])).
% 7.71/5.68 tff(14002,plain,
% 7.71/5.68 (v129(constB114, bitIndex2)),
% 7.71/5.68 inference(unit_resolution,[status(thm)],[14001, 14000, 10400])).
% 7.71/5.68 tff(14003,plain,
% 7.71/5.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB113, constB114)) | (v100(constB114) <=> (~((~v101(constB114)) | (~v110(constB114))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB113, constB114)) | (v100(constB114) <=> (~((~v101(constB114)) | (~v110(constB114))))))),
% 7.71/5.68 inference(rewrite,[status(thm)],[])).
% 7.71/5.68 tff(14004,plain,
% 7.71/5.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB113, constB114)) | (v100(constB114) <=> (~((~v101(constB114)) | (~v110(constB114))))))),
% 7.71/5.68 inference(quant_inst,[status(thm)],[])).
% 7.71/5.68 tff(14005,plain,
% 7.71/5.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB113, constB114)) | (v100(constB114) <=> (~((~v101(constB114)) | (~v110(constB114)))))),
% 7.71/5.68 inference(modus_ponens,[status(thm)],[14004, 14003])).
% 7.71/5.68 tff(14006,plain,
% 7.71/5.68 (v100(constB114) <=> (~((~v101(constB114)) | (~v110(constB114))))),
% 7.71/5.68 inference(unit_resolution,[status(thm)],[14005, 10394, 445])).
% 7.71/5.68 tff(14007,plain,
% 7.71/5.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB113, constB114)) | (v101(constB114) <=> (~((~v1(constB114)) | (~v102(constB114))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB113, constB114)) | (v101(constB114) <=> (~((~v1(constB114)) | (~v102(constB114))))))),
% 7.71/5.68 inference(rewrite,[status(thm)],[])).
% 7.71/5.68 tff(14008,plain,
% 7.71/5.68 (((~nextState(constB113, constB114)) | (v101(constB114) <=> (~((~v102(constB114)) | (~v1(constB114)))))) <=> ((~nextState(constB113, constB114)) | (v101(constB114) <=> (~((~v1(constB114)) | (~v102(constB114))))))),
% 7.71/5.68 inference(rewrite,[status(thm)],[])).
% 7.71/5.68 tff(14009,plain,
% 7.71/5.68 (((~![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) <=> (~((~v1(constB114)) | (~v102(constB114)))))))),
% 7.71/5.68 inference(monotonicity,[status(thm)],[14008])).
% 7.71/5.68 tff(14010,plain,
% 7.71/5.68 (((~![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) <=> (~((~v1(constB114)) | (~v102(constB114))))))),
% 7.71/5.68 inference(transitivity,[status(thm)],[14009, 14007])).
% 7.71/5.68 tff(14011,plain,
% 7.71/5.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB113, constB114)) | (v101(constB114) <=> (~((~v102(constB114)) | (~v1(constB114))))))),
% 7.71/5.68 inference(quant_inst,[status(thm)],[])).
% 7.71/5.68 tff(14012,plain,
% 7.71/5.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB113, constB114)) | (v101(constB114) <=> (~((~v1(constB114)) | (~v102(constB114)))))),
% 7.71/5.68 inference(modus_ponens,[status(thm)],[14011, 14010])).
% 7.71/5.68 tff(14013,plain,
% 7.71/5.68 (v101(constB114) <=> (~((~v1(constB114)) | (~v102(constB114))))),
% 7.71/5.68 inference(unit_resolution,[status(thm)],[14012, 10394, 465])).
% 7.71/5.68 tff(14014,plain,
% 7.71/5.68 (((~![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)))),
% 7.71/5.68 inference(rewrite,[status(thm)],[])).
% 7.71/5.68 tff(14015,plain,
% 7.71/5.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB113, constB114)) | ((~v102(constB114)) <=> v104(constB114)))),
% 7.71/5.68 inference(quant_inst,[status(thm)],[])).
% 7.71/5.68 tff(14016,plain,
% 7.71/5.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB113, constB114)) | ((~v102(constB114)) <=> v104(constB114))),
% 7.71/5.68 inference(modus_ponens,[status(thm)],[14015, 14014])).
% 7.71/5.68 tff(14017,plain,
% 7.71/5.68 ((~v102(constB114)) <=> v104(constB114)),
% 7.71/5.68 inference(unit_resolution,[status(thm)],[14016, 10394, 3244])).
% 7.71/5.68 tff(14018,plain,
% 7.71/5.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB113, constB114)) | (v104(constB114) <=> v1(constB113)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB113, constB114)) | (v104(constB114) <=> v1(constB113)))),
% 7.71/5.68 inference(rewrite,[status(thm)],[])).
% 7.71/5.68 tff(14019,plain,
% 7.71/5.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB113, constB114)) | (v104(constB114) <=> v1(constB113)))),
% 7.71/5.68 inference(quant_inst,[status(thm)],[])).
% 7.71/5.68 tff(14020,plain,
% 7.71/5.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB113, constB114)) | (v104(constB114) <=> v1(constB113))),
% 7.71/5.68 inference(modus_ponens,[status(thm)],[14019, 14018])).
% 7.71/5.68 tff(14021,plain,
% 7.71/5.68 (v104(constB114) <=> v1(constB113)),
% 7.71/5.68 inference(unit_resolution,[status(thm)],[14020, 10394, 3258])).
% 7.71/5.68 tff(14022,plain,
% 7.71/5.68 ((~(v104(constB114) <=> v1(constB113))) | (~v104(constB114)) | v1(constB113)),
% 7.71/5.68 inference(tautology,[status(thm)],[])).
% 7.71/5.68 tff(14023,plain,
% 7.71/5.68 ((~(v104(constB114) <=> v1(constB113))) | (~v104(constB114))),
% 7.71/5.68 inference(unit_resolution,[status(thm)],[14022, 10438])).
% 7.71/5.68 tff(14024,plain,
% 7.71/5.68 (~v104(constB114)),
% 7.71/5.68 inference(unit_resolution,[status(thm)],[14023, 14021])).
% 7.71/5.68 tff(14025,plain,
% 7.71/5.68 ((~((~v102(constB114)) <=> v104(constB114))) | v102(constB114) | v104(constB114)),
% 7.71/5.68 inference(tautology,[status(thm)],[])).
% 7.71/5.68 tff(14026,plain,
% 7.71/5.68 (v102(constB114)),
% 7.71/5.68 inference(unit_resolution,[status(thm)],[14025, 14024, 14017])).
% 7.71/5.68 tff(14027,plain,
% 7.71/5.68 (v1(constB114) <=> v1(constB114)),
% 7.71/5.68 inference(rewrite,[status(thm)],[])).
% 7.71/5.68 tff(14028,axiom,(v1(constB114)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_114')).
% 7.71/5.68 tff(14029,plain,
% 7.71/5.68 (v1(constB114)),
% 7.71/5.68 inference(modus_ponens,[status(thm)],[14028, 14027])).
% 7.71/5.68 tff(14030,plain,
% 7.71/5.68 ((~((~v1(constB114)) | (~v102(constB114)))) | (~v1(constB114)) | (~v102(constB114))),
% 7.71/5.69 inference(tautology,[status(thm)],[])).
% 7.71/5.69 tff(14031,plain,
% 7.71/5.69 ((~((~v1(constB114)) | (~v102(constB114)))) | (~v102(constB114))),
% 7.71/5.69 inference(unit_resolution,[status(thm)],[14030, 14029])).
% 7.71/5.69 tff(14032,plain,
% 7.71/5.69 (~((~v1(constB114)) | (~v102(constB114)))),
% 7.71/5.69 inference(unit_resolution,[status(thm)],[14031, 14026])).
% 7.71/5.69 tff(14033,plain,
% 7.71/5.69 ((~(v101(constB114) <=> (~((~v1(constB114)) | (~v102(constB114)))))) | v101(constB114) | ((~v1(constB114)) | (~v102(constB114)))),
% 7.71/5.69 inference(tautology,[status(thm)],[])).
% 7.71/5.69 tff(14034,plain,
% 7.71/5.69 (v101(constB114)),
% 7.71/5.69 inference(unit_resolution,[status(thm)],[14033, 14032, 14013])).
% 7.71/5.69 tff(14035,plain,
% 7.71/5.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB113, constB114)) | (v110(constB114) <=> v108(constB113)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB113, constB114)) | (v110(constB114) <=> v108(constB113)))),
% 7.71/5.69 inference(rewrite,[status(thm)],[])).
% 7.71/5.69 tff(14036,plain,
% 7.71/5.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB113, constB114)) | (v110(constB114) <=> v108(constB113)))),
% 7.71/5.69 inference(quant_inst,[status(thm)],[])).
% 7.71/5.69 tff(14037,plain,
% 7.71/5.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB113, constB114)) | (v110(constB114) <=> v108(constB113))),
% 7.71/5.69 inference(modus_ponens,[status(thm)],[14036, 14035])).
% 7.71/5.69 tff(14038,plain,
% 7.71/5.69 (v110(constB114) <=> v108(constB113)),
% 7.71/5.69 inference(unit_resolution,[status(thm)],[14037, 10394, 3285])).
% 7.71/5.69 tff(14039,plain,
% 7.71/5.69 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB113) <=> (v111(constB113) | v112(constB113)))),
% 7.71/5.69 inference(quant_inst,[status(thm)],[])).
% 7.71/5.69 tff(14040,plain,
% 7.71/5.69 (v108(constB113) <=> (v111(constB113) | v112(constB113))),
% 7.71/5.69 inference(unit_resolution,[status(thm)],[14039, 3296])).
% 7.71/5.69 tff(14041,plain,
% 7.71/5.69 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB113) <=> (~((~v113(constB113)) | (~v126(constB113)))))),
% 7.71/5.69 inference(quant_inst,[status(thm)],[])).
% 7.71/5.69 tff(14042,plain,
% 7.71/5.69 (v112(constB113) <=> (~((~v113(constB113)) | (~v126(constB113))))),
% 7.71/5.69 inference(unit_resolution,[status(thm)],[14041, 3308])).
% 7.71/5.69 tff(14043,plain,
% 7.71/5.69 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB113) <=> (v114(constB113) | v125(constB113)))),
% 7.71/5.69 inference(quant_inst,[status(thm)],[])).
% 7.71/5.69 tff(14044,plain,
% 7.71/5.69 (v113(constB113) <=> (v114(constB113) | v125(constB113))),
% 7.71/5.69 inference(unit_resolution,[status(thm)],[14043, 3317])).
% 7.71/5.69 tff(14045,plain,
% 7.71/5.69 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB113) <=> (v115(constB113) | v124(constB113)))),
% 7.71/5.69 inference(quant_inst,[status(thm)],[])).
% 7.71/5.69 tff(14046,plain,
% 7.71/5.69 (v114(constB113) <=> (v115(constB113) | v124(constB113))),
% 7.71/5.69 inference(unit_resolution,[status(thm)],[14045, 3326])).
% 7.71/5.69 tff(14047,plain,
% 7.71/5.69 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB113) <=> (v116(constB113) | v123(constB113)))),
% 7.71/5.69 inference(quant_inst,[status(thm)],[])).
% 7.71/5.69 tff(14048,plain,
% 7.71/5.69 (v115(constB113) <=> (v116(constB113) | v123(constB113))),
% 7.71/5.69 inference(unit_resolution,[status(thm)],[14047, 3335])).
% 7.71/5.69 tff(14049,plain,
% 7.71/5.69 ((v116(constB113) | v123(constB113)) | (~v123(constB113))),
% 7.71/5.69 inference(tautology,[status(thm)],[])).
% 7.71/5.69 tff(14050,plain,
% 7.71/5.69 (v116(constB113) | v123(constB113)),
% 7.71/5.69 inference(unit_resolution,[status(thm)],[14049, 13991])).
% 7.71/5.69 tff(14051,plain,
% 7.71/5.69 ((~(v115(constB113) <=> (v116(constB113) | v123(constB113)))) | v115(constB113) | (~(v116(constB113) | v123(constB113)))),
% 7.71/5.69 inference(tautology,[status(thm)],[])).
% 7.71/5.69 tff(14052,plain,
% 7.71/5.69 (v115(constB113)),
% 7.71/5.69 inference(unit_resolution,[status(thm)],[14051, 14050, 14048])).
% 7.71/5.69 tff(14053,plain,
% 7.71/5.69 ((v115(constB113) | v124(constB113)) | (~v115(constB113))),
% 7.71/5.69 inference(tautology,[status(thm)],[])).
% 7.71/5.69 tff(14054,plain,
% 7.71/5.69 (v115(constB113) | v124(constB113)),
% 7.71/5.69 inference(unit_resolution,[status(thm)],[14053, 14052])).
% 7.71/5.69 tff(14055,plain,
% 7.71/5.69 ((~(v114(constB113) <=> (v115(constB113) | v124(constB113)))) | v114(constB113) | (~(v115(constB113) | v124(constB113)))),
% 7.71/5.69 inference(tautology,[status(thm)],[])).
% 7.71/5.69 tff(14056,plain,
% 7.71/5.69 (v114(constB113)),
% 7.71/5.69 inference(unit_resolution,[status(thm)],[14055, 14054, 14046])).
% 7.71/5.69 tff(14057,plain,
% 7.71/5.69 ((v114(constB113) | v125(constB113)) | (~v114(constB113))),
% 7.71/5.69 inference(tautology,[status(thm)],[])).
% 7.71/5.69 tff(14058,plain,
% 7.71/5.69 (v114(constB113) | v125(constB113)),
% 7.71/5.69 inference(unit_resolution,[status(thm)],[14057, 14056])).
% 7.71/5.69 tff(14059,plain,
% 7.71/5.69 ((~(v113(constB113) <=> (v114(constB113) | v125(constB113)))) | v113(constB113) | (~(v114(constB113) | v125(constB113)))),
% 7.71/5.69 inference(tautology,[status(thm)],[])).
% 7.71/5.69 tff(14060,plain,
% 7.71/5.69 (v113(constB113)),
% 7.71/5.69 inference(unit_resolution,[status(thm)],[14059, 14058, 14044])).
% 7.71/5.69 tff(14061,plain,
% 7.71/5.69 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB113)) <=> v111(constB113))),
% 7.71/5.69 inference(quant_inst,[status(thm)],[])).
% 7.71/5.69 tff(14062,plain,
% 7.71/5.69 ((~v126(constB113)) <=> v111(constB113)),
% 7.71/5.69 inference(unit_resolution,[status(thm)],[14061, 3396])).
% 7.71/5.69 tff(14063,plain,
% 7.71/5.69 ((~((~v126(constB113)) <=> v111(constB113))) | v126(constB113) | v111(constB113)),
% 7.71/5.69 inference(tautology,[status(thm)],[])).
% 7.71/5.69 tff(14064,plain,
% 7.71/5.69 ((~((~v126(constB113)) <=> v111(constB113))) | v126(constB113)),
% 7.71/5.69 inference(unit_resolution,[status(thm)],[14063, 10407])).
% 7.71/5.69 tff(14065,plain,
% 7.71/5.69 (v126(constB113)),
% 7.71/5.69 inference(unit_resolution,[status(thm)],[14064, 14062])).
% 7.71/5.69 tff(14066,plain,
% 7.71/5.69 ((~((~v113(constB113)) | (~v126(constB113)))) | (~v113(constB113)) | (~v126(constB113))),
% 7.71/5.69 inference(tautology,[status(thm)],[])).
% 7.71/5.69 tff(14067,plain,
% 7.71/5.69 ((~((~v113(constB113)) | (~v126(constB113)))) | (~v113(constB113))),
% 7.71/5.69 inference(unit_resolution,[status(thm)],[14066, 14065])).
% 7.71/5.69 tff(14068,plain,
% 7.71/5.69 (~((~v113(constB113)) | (~v126(constB113)))),
% 7.71/5.69 inference(unit_resolution,[status(thm)],[14067, 14060])).
% 7.71/5.69 tff(14069,plain,
% 7.71/5.69 ((~(v112(constB113) <=> (~((~v113(constB113)) | (~v126(constB113)))))) | v112(constB113) | ((~v113(constB113)) | (~v126(constB113)))),
% 7.71/5.69 inference(tautology,[status(thm)],[])).
% 7.71/5.69 tff(14070,plain,
% 7.71/5.69 (v112(constB113)),
% 7.71/5.69 inference(unit_resolution,[status(thm)],[14069, 14068, 14042])).
% 7.71/5.69 tff(14071,plain,
% 7.71/5.69 ((v111(constB113) | v112(constB113)) | (~v112(constB113))),
% 7.71/5.69 inference(tautology,[status(thm)],[])).
% 7.71/5.69 tff(14072,plain,
% 7.71/5.69 (v111(constB113) | v112(constB113)),
% 7.71/5.69 inference(unit_resolution,[status(thm)],[14071, 14070])).
% 7.71/5.69 tff(14073,plain,
% 7.71/5.69 ((~(v108(constB113) <=> (v111(constB113) | v112(constB113)))) | v108(constB113) | (~(v111(constB113) | v112(constB113)))),
% 7.71/5.69 inference(tautology,[status(thm)],[])).
% 7.71/5.69 tff(14074,plain,
% 7.71/5.69 (v108(constB113)),
% 7.71/5.69 inference(unit_resolution,[status(thm)],[14073, 14072, 14040])).
% 7.71/5.69 tff(14075,plain,
% 7.71/5.69 ((~(v110(constB114) <=> v108(constB113))) | v110(constB114) | (~v108(constB113))),
% 7.71/5.69 inference(tautology,[status(thm)],[])).
% 7.71/5.69 tff(14076,plain,
% 7.71/5.69 (v110(constB114)),
% 7.71/5.69 inference(unit_resolution,[status(thm)],[14075, 14074, 14038])).
% 7.71/5.69 tff(14077,plain,
% 7.71/5.69 ((~((~v101(constB114)) | (~v110(constB114)))) | (~v101(constB114)) | (~v110(constB114))),
% 7.71/5.69 inference(tautology,[status(thm)],[])).
% 7.71/5.69 tff(14078,plain,
% 7.71/5.69 (~((~v101(constB114)) | (~v110(constB114)))),
% 7.71/5.69 inference(unit_resolution,[status(thm)],[14077, 14076, 14034])).
% 7.71/5.69 tff(14079,plain,
% 7.71/5.69 ((~(v100(constB114) <=> (~((~v101(constB114)) | (~v110(constB114)))))) | v100(constB114) | ((~v101(constB114)) | (~v110(constB114)))),
% 7.71/5.69 inference(tautology,[status(thm)],[])).
% 7.71/5.69 tff(14080,plain,
% 7.71/5.69 (v100(constB114)),
% 7.71/5.69 inference(unit_resolution,[status(thm)],[14079, 14078, 14006])).
% 7.71/5.69 tff(14081,plain,
% 7.71/5.69 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB114)) | (~(((~v90(constB114, bitIndex0)) <=> v129(constB114, bitIndex0)) | ((~v90(constB114, bitIndex2)) <=> v129(constB114, bitIndex2)) | ((~v90(constB114, bitIndex1)) <=> v129(constB114, bitIndex1)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB114)) | (~(((~v90(constB114, bitIndex0)) <=> v129(constB114, bitIndex0)) | ((~v90(constB114, bitIndex2)) <=> v129(constB114, bitIndex2)) | ((~v90(constB114, bitIndex1)) <=> v129(constB114, bitIndex1)))))),
% 7.71/5.69 inference(rewrite,[status(thm)],[])).
% 7.71/5.69 tff(14082,plain,
% 7.71/5.69 (((~v100(constB114)) | (~(((~v90(constB114, bitIndex2)) <=> v129(constB114, bitIndex2)) | ((~v90(constB114, bitIndex1)) <=> v129(constB114, bitIndex1)) | ((~v90(constB114, bitIndex0)) <=> v129(constB114, bitIndex0))))) <=> ((~v100(constB114)) | (~(((~v90(constB114, bitIndex0)) <=> v129(constB114, bitIndex0)) | ((~v90(constB114, bitIndex2)) <=> v129(constB114, bitIndex2)) | ((~v90(constB114, bitIndex1)) <=> v129(constB114, bitIndex1)))))),
% 7.71/5.69 inference(rewrite,[status(thm)],[])).
% 7.71/5.69 tff(14083,plain,
% 7.71/5.69 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB114)) | (~(((~v90(constB114, bitIndex2)) <=> v129(constB114, bitIndex2)) | ((~v90(constB114, bitIndex1)) <=> v129(constB114, bitIndex1)) | ((~v90(constB114, bitIndex0)) <=> v129(constB114, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB114)) | (~(((~v90(constB114, bitIndex0)) <=> v129(constB114, bitIndex0)) | ((~v90(constB114, bitIndex2)) <=> v129(constB114, bitIndex2)) | ((~v90(constB114, bitIndex1)) <=> v129(constB114, bitIndex1))))))),
% 7.71/5.69 inference(monotonicity,[status(thm)],[14082])).
% 7.71/5.69 tff(14084,plain,
% 7.71/5.69 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB114)) | (~(((~v90(constB114, bitIndex2)) <=> v129(constB114, bitIndex2)) | ((~v90(constB114, bitIndex1)) <=> v129(constB114, bitIndex1)) | ((~v90(constB114, bitIndex0)) <=> v129(constB114, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB114)) | (~(((~v90(constB114, bitIndex0)) <=> v129(constB114, bitIndex0)) | ((~v90(constB114, bitIndex2)) <=> v129(constB114, bitIndex2)) | ((~v90(constB114, bitIndex1)) <=> v129(constB114, bitIndex1)))))),
% 7.71/5.69 inference(transitivity,[status(thm)],[14083, 14081])).
% 7.71/5.69 tff(14085,plain,
% 7.71/5.69 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB114)) | (~(((~v90(constB114, bitIndex2)) <=> v129(constB114, bitIndex2)) | ((~v90(constB114, bitIndex1)) <=> v129(constB114, bitIndex1)) | ((~v90(constB114, bitIndex0)) <=> v129(constB114, bitIndex0)))))),
% 7.71/5.69 inference(quant_inst,[status(thm)],[])).
% 7.71/5.69 tff(14086,plain,
% 7.71/5.69 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB114)) | (~(((~v90(constB114, bitIndex0)) <=> v129(constB114, bitIndex0)) | ((~v90(constB114, bitIndex2)) <=> v129(constB114, bitIndex2)) | ((~v90(constB114, bitIndex1)) <=> v129(constB114, bitIndex1))))),
% 7.71/5.69 inference(modus_ponens,[status(thm)],[14085, 14084])).
% 7.71/5.69 tff(14087,plain,
% 7.71/5.69 ((~v100(constB114)) | (~(((~v90(constB114, bitIndex0)) <=> v129(constB114, bitIndex0)) | ((~v90(constB114, bitIndex2)) <=> v129(constB114, bitIndex2)) | ((~v90(constB114, bitIndex1)) <=> v129(constB114, bitIndex1))))),
% 7.71/5.69 inference(unit_resolution,[status(thm)],[14086, 3429])).
% 7.71/5.69 tff(14088,plain,
% 7.71/5.69 (~(((~v90(constB114, bitIndex0)) <=> v129(constB114, bitIndex0)) | ((~v90(constB114, bitIndex2)) <=> v129(constB114, bitIndex2)) | ((~v90(constB114, bitIndex1)) <=> v129(constB114, bitIndex1)))),
% 7.71/5.69 inference(unit_resolution,[status(thm)],[14087, 14080])).
% 7.71/5.69 tff(14089,plain,
% 7.71/5.69 ((((~v90(constB114, bitIndex0)) <=> v129(constB114, bitIndex0)) | ((~v90(constB114, bitIndex2)) <=> v129(constB114, bitIndex2)) | ((~v90(constB114, bitIndex1)) <=> v129(constB114, bitIndex1))) | (~((~v90(constB114, bitIndex2)) <=> v129(constB114, bitIndex2)))),
% 7.71/5.69 inference(tautology,[status(thm)],[])).
% 7.71/5.69 tff(14090,plain,
% 7.71/5.69 (~((~v90(constB114, bitIndex2)) <=> v129(constB114, bitIndex2))),
% 7.71/5.69 inference(unit_resolution,[status(thm)],[14089, 14088])).
% 7.71/5.69 tff(14091,plain,
% 7.71/5.69 (((~v90(constB114, bitIndex2)) <=> v129(constB114, bitIndex2)) | v90(constB114, bitIndex2) | (~v129(constB114, bitIndex2))),
% 7.71/5.69 inference(tautology,[status(thm)],[])).
% 7.71/5.69 tff(14092,plain,
% 7.71/5.69 (v90(constB114, bitIndex2)),
% 7.71/5.69 inference(unit_resolution,[status(thm)],[14091, 14090, 14002])).
% 7.71/5.69 tff(14093,plain,
% 7.71/5.69 (((~v90(constB115, bitIndex2)) <=> v90(constB114, bitIndex2)) | v90(constB115, bitIndex2) | (~v90(constB114, bitIndex2))),
% 7.71/5.69 inference(tautology,[status(thm)],[])).
% 7.71/5.69 tff(14094,plain,
% 7.71/5.69 (v90(constB115, bitIndex2)),
% 7.71/5.69 inference(unit_resolution,[status(thm)],[14093, 14092, 10391])).
% 7.71/5.69 tff(14095,plain,
% 7.71/5.69 (((~v88(constB115, bitIndex2)) <=> v90(constB115, bitIndex2)) | v88(constB115, bitIndex2) | (~v90(constB115, bitIndex2))),
% 7.71/5.69 inference(tautology,[status(thm)],[])).
% 7.71/5.69 tff(14096,plain,
% 7.71/5.69 (v88(constB115, bitIndex2)),
% 7.71/5.69 inference(unit_resolution,[status(thm)],[14095, 14094, 10358])).
% 7.71/5.69 tff(14097,plain,
% 7.71/5.69 ((((~v88(constB115, bitIndex1)) <=> v90(constB115, bitIndex1)) | ((~v88(constB115, bitIndex2)) <=> v90(constB115, bitIndex2)) | ((~v88(constB115, bitIndex0)) <=> v90(constB115, bitIndex0))) | (~((~v88(constB115, bitIndex0)) <=> v90(constB115, bitIndex0)))),
% 7.71/5.69 inference(tautology,[status(thm)],[])).
% 7.71/5.69 tff(14098,plain,
% 7.71/5.69 (~((~v88(constB115, bitIndex0)) <=> v90(constB115, bitIndex0))),
% 7.71/5.69 inference(unit_resolution,[status(thm)],[14097, 10356])).
% 7.71/5.69 tff(14099,plain,
% 7.71/5.69 ((((~v90(constB115, bitIndex1)) <=> v90(constB114, bitIndex1)) | ((~v90(constB115, bitIndex2)) <=> v90(constB114, bitIndex2)) | ((~v90(constB115, bitIndex0)) <=> v90(constB114, bitIndex0))) | (~((~v90(constB115, bitIndex0)) <=> v90(constB114, bitIndex0)))),
% 7.71/5.69 inference(tautology,[status(thm)],[])).
% 7.71/5.69 tff(14100,plain,
% 7.71/5.69 (~((~v90(constB115, bitIndex0)) <=> v90(constB114, bitIndex0))),
% 7.71/5.69 inference(unit_resolution,[status(thm)],[14099, 10389])).
% 7.71/5.69 tff(14101,plain,
% 7.71/5.69 ((((~v129(constB114, bitIndex2)) <=> v127(constB113, bitIndex2)) | ((~v129(constB114, bitIndex1)) <=> v127(constB113, bitIndex1)) | ((~v129(constB114, bitIndex0)) <=> v127(constB113, bitIndex0))) | (~((~v129(constB114, bitIndex0)) <=> v127(constB113, bitIndex0)))),
% 7.71/5.69 inference(tautology,[status(thm)],[])).
% 7.71/5.69 tff(14102,plain,
% 7.71/5.69 (~((~v129(constB114, bitIndex0)) <=> v127(constB113, bitIndex0))),
% 7.71/5.69 inference(unit_resolution,[status(thm)],[14101, 10398])).
% 7.71/5.69 tff(14103,plain,
% 7.71/5.69 ((((~v127(constB113, bitIndex2)) <=> v130(constB113, bitIndex2)) | ((~v127(constB113, bitIndex1)) <=> v130(constB113, bitIndex1)) | ((~v127(constB113, bitIndex0)) <=> v130(constB113, bitIndex0))) | (~((~v127(constB113, bitIndex0)) <=> v130(constB113, bitIndex0)))),
% 7.71/5.69 inference(tautology,[status(thm)],[])).
% 7.71/5.69 tff(14104,plain,
% 7.71/5.69 (~((~v127(constB113, bitIndex0)) <=> v130(constB113, bitIndex0))),
% 7.71/5.69 inference(unit_resolution,[status(thm)],[14103, 10412])).
% 7.71/5.69 tff(14105,plain,
% 7.71/5.69 ((v130(constB113, bitIndex0) | (~v130(constB113, bitIndex2)) | (~v130(constB113, bitIndex1))) | (~v130(constB113, bitIndex0))),
% 7.71/5.69 inference(tautology,[status(thm)],[])).
% 7.71/5.69 tff(14106,plain,
% 7.71/5.69 (~v130(constB113, bitIndex0)),
% 7.71/5.69 inference(unit_resolution,[status(thm)],[14105, 13996])).
% 7.71/5.69 tff(14107,plain,
% 7.71/5.69 (((~v127(constB113, bitIndex0)) <=> v130(constB113, bitIndex0)) | (~v127(constB113, bitIndex0)) | v130(constB113, bitIndex0)),
% 7.71/5.69 inference(tautology,[status(thm)],[])).
% 7.71/5.69 tff(14108,plain,
% 7.71/5.69 (~v127(constB113, bitIndex0)),
% 7.71/5.69 inference(unit_resolution,[status(thm)],[14107, 14106, 14104])).
% 7.71/5.69 tff(14109,plain,
% 7.71/5.69 (((~v129(constB114, bitIndex0)) <=> v127(constB113, bitIndex0)) | (~v129(constB114, bitIndex0)) | v127(constB113, bitIndex0)),
% 7.71/5.69 inference(tautology,[status(thm)],[])).
% 7.71/5.69 tff(14110,plain,
% 7.71/5.69 (~v129(constB114, bitIndex0)),
% 7.71/5.69 inference(unit_resolution,[status(thm)],[14109, 14108, 14102])).
% 7.71/5.69 tff(14111,plain,
% 7.71/5.69 ((((~v90(constB114, bitIndex0)) <=> v129(constB114, bitIndex0)) | ((~v90(constB114, bitIndex2)) <=> v129(constB114, bitIndex2)) | ((~v90(constB114, bitIndex1)) <=> v129(constB114, bitIndex1))) | (~((~v90(constB114, bitIndex0)) <=> v129(constB114, bitIndex0)))),
% 7.71/5.69 inference(tautology,[status(thm)],[])).
% 7.71/5.69 tff(14112,plain,
% 7.71/5.69 (~((~v90(constB114, bitIndex0)) <=> v129(constB114, bitIndex0))),
% 7.71/5.69 inference(unit_resolution,[status(thm)],[14111, 14088])).
% 7.71/5.69 tff(14113,plain,
% 7.71/5.69 (((~v90(constB114, bitIndex0)) <=> v129(constB114, bitIndex0)) | (~v90(constB114, bitIndex0)) | v129(constB114, bitIndex0)),
% 7.71/5.69 inference(tautology,[status(thm)],[])).
% 7.71/5.69 tff(14114,plain,
% 7.71/5.69 (~v90(constB114, bitIndex0)),
% 7.71/5.69 inference(unit_resolution,[status(thm)],[14113, 14112, 14110])).
% 7.71/5.69 tff(14115,plain,
% 7.71/5.69 (((~v90(constB115, bitIndex0)) <=> v90(constB114, bitIndex0)) | (~v90(constB115, bitIndex0)) | v90(constB114, bitIndex0)),
% 7.71/5.69 inference(tautology,[status(thm)],[])).
% 7.71/5.69 tff(14116,plain,
% 7.71/5.69 (~v90(constB115, bitIndex0)),
% 7.71/5.69 inference(unit_resolution,[status(thm)],[14115, 14114, 14100])).
% 7.71/5.69 tff(14117,plain,
% 7.71/5.69 (((~v88(constB115, bitIndex0)) <=> v90(constB115, bitIndex0)) | (~v88(constB115, bitIndex0)) | v90(constB115, bitIndex0)),
% 7.71/5.69 inference(tautology,[status(thm)],[])).
% 7.71/5.69 tff(14118,plain,
% 7.71/5.69 (~v88(constB115, bitIndex0)),
% 7.71/5.69 inference(unit_resolution,[status(thm)],[14117, 14116, 14098])).
% 7.71/5.69 tff(14119,plain,
% 7.71/5.69 ((((~v88(constB115, bitIndex1)) <=> v90(constB115, bitIndex1)) | ((~v88(constB115, bitIndex2)) <=> v90(constB115, bitIndex2)) | ((~v88(constB115, bitIndex0)) <=> v90(constB115, bitIndex0))) | (~((~v88(constB115, bitIndex1)) <=> v90(constB115, bitIndex1)))),
% 7.71/5.69 inference(tautology,[status(thm)],[])).
% 7.71/5.69 tff(14120,plain,
% 7.71/5.69 (~((~v88(constB115, bitIndex1)) <=> v90(constB115, bitIndex1))),
% 7.71/5.69 inference(unit_resolution,[status(thm)],[14119, 10356])).
% 7.71/5.69 tff(14121,plain,
% 7.71/5.69 ((((~v90(constB115, bitIndex1)) <=> v90(constB114, bitIndex1)) | ((~v90(constB115, bitIndex2)) <=> v90(constB114, bitIndex2)) | ((~v90(constB115, bitIndex0)) <=> v90(constB114, bitIndex0))) | (~((~v90(constB115, bitIndex1)) <=> v90(constB114, bitIndex1)))),
% 7.71/5.69 inference(tautology,[status(thm)],[])).
% 7.71/5.69 tff(14122,plain,
% 7.71/5.69 (~((~v90(constB115, bitIndex1)) <=> v90(constB114, bitIndex1))),
% 7.71/5.69 inference(unit_resolution,[status(thm)],[14121, 10389])).
% 7.71/5.69 tff(14123,plain,
% 7.71/5.69 ((((~v129(constB114, bitIndex2)) <=> v127(constB113, bitIndex2)) | ((~v129(constB114, bitIndex1)) <=> v127(constB113, bitIndex1)) | ((~v129(constB114, bitIndex0)) <=> v127(constB113, bitIndex0))) | (~((~v129(constB114, bitIndex1)) <=> v127(constB113, bitIndex1)))),
% 7.71/5.69 inference(tautology,[status(thm)],[])).
% 7.71/5.69 tff(14124,plain,
% 7.71/5.69 (~((~v129(constB114, bitIndex1)) <=> v127(constB113, bitIndex1))),
% 7.71/5.69 inference(unit_resolution,[status(thm)],[14123, 10398])).
% 7.71/5.69 tff(14125,plain,
% 7.71/5.69 ((((~v127(constB113, bitIndex2)) <=> v130(constB113, bitIndex2)) | ((~v127(constB113, bitIndex1)) <=> v130(constB113, bitIndex1)) | ((~v127(constB113, bitIndex0)) <=> v130(constB113, bitIndex0))) | (~((~v127(constB113, bitIndex1)) <=> v130(constB113, bitIndex1)))),
% 7.71/5.69 inference(tautology,[status(thm)],[])).
% 7.71/5.69 tff(14126,plain,
% 7.71/5.69 (~((~v127(constB113, bitIndex1)) <=> v130(constB113, bitIndex1))),
% 7.71/5.69 inference(unit_resolution,[status(thm)],[14125, 10412])).
% 7.71/5.69 tff(14127,plain,
% 7.71/5.69 ((v130(constB113, bitIndex0) | (~v130(constB113, bitIndex2)) | (~v130(constB113, bitIndex1))) | v130(constB113, bitIndex1)),
% 7.71/5.69 inference(tautology,[status(thm)],[])).
% 7.71/5.69 tff(14128,plain,
% 7.71/5.69 (v130(constB113, bitIndex1)),
% 7.71/5.69 inference(unit_resolution,[status(thm)],[14127, 13996])).
% 7.71/5.69 tff(14129,plain,
% 7.71/5.69 (((~v127(constB113, bitIndex1)) <=> v130(constB113, bitIndex1)) | v127(constB113, bitIndex1) | (~v130(constB113, bitIndex1))),
% 7.71/5.69 inference(tautology,[status(thm)],[])).
% 7.71/5.69 tff(14130,plain,
% 7.71/5.69 (v127(constB113, bitIndex1)),
% 7.71/5.69 inference(unit_resolution,[status(thm)],[14129, 14128, 14126])).
% 7.71/5.69 tff(14131,plain,
% 7.71/5.69 (((~v129(constB114, bitIndex1)) <=> v127(constB113, bitIndex1)) | v129(constB114, bitIndex1) | (~v127(constB113, bitIndex1))),
% 7.71/5.69 inference(tautology,[status(thm)],[])).
% 7.71/5.69 tff(14132,plain,
% 7.71/5.69 (v129(constB114, bitIndex1)),
% 7.71/5.69 inference(unit_resolution,[status(thm)],[14131, 14130, 14124])).
% 7.71/5.69 tff(14133,plain,
% 7.71/5.69 ((((~v90(constB114, bitIndex0)) <=> v129(constB114, bitIndex0)) | ((~v90(constB114, bitIndex2)) <=> v129(constB114, bitIndex2)) | ((~v90(constB114, bitIndex1)) <=> v129(constB114, bitIndex1))) | (~((~v90(constB114, bitIndex1)) <=> v129(constB114, bitIndex1)))),
% 7.71/5.69 inference(tautology,[status(thm)],[])).
% 7.71/5.69 tff(14134,plain,
% 7.71/5.69 (~((~v90(constB114, bitIndex1)) <=> v129(constB114, bitIndex1))),
% 7.71/5.69 inference(unit_resolution,[status(thm)],[14133, 14088])).
% 7.71/5.69 tff(14135,plain,
% 7.71/5.69 (((~v90(constB114, bitIndex1)) <=> v129(constB114, bitIndex1)) | v90(constB114, bitIndex1) | (~v129(constB114, bitIndex1))),
% 7.71/5.69 inference(tautology,[status(thm)],[])).
% 7.71/5.69 tff(14136,plain,
% 7.71/5.69 (v90(constB114, bitIndex1)),
% 7.71/5.69 inference(unit_resolution,[status(thm)],[14135, 14134, 14132])).
% 7.71/5.69 tff(14137,plain,
% 7.71/5.69 (((~v90(constB115, bitIndex1)) <=> v90(constB114, bitIndex1)) | v90(constB115, bitIndex1) | (~v90(constB114, bitIndex1))),
% 7.71/5.69 inference(tautology,[status(thm)],[])).
% 7.71/5.69 tff(14138,plain,
% 7.71/5.69 (v90(constB115, bitIndex1)),
% 7.71/5.69 inference(unit_resolution,[status(thm)],[14137, 14136, 14122])).
% 7.71/5.69 tff(14139,plain,
% 7.71/5.69 (((~v88(constB115, bitIndex1)) <=> v90(constB115, bitIndex1)) | v88(constB115, bitIndex1) | (~v90(constB115, bitIndex1))),
% 7.71/5.69 inference(tautology,[status(thm)],[])).
% 7.71/5.69 tff(14140,plain,
% 7.71/5.69 (v88(constB115, bitIndex1)),
% 7.71/5.69 inference(unit_resolution,[status(thm)],[14139, 14138, 14120])).
% 7.71/5.69 tff(14141,plain,
% 7.71/5.69 ((~((~v88(constB115, bitIndex1)) | (~v88(constB115, bitIndex2)) | v88(constB115, bitIndex0))) | (~v88(constB115, bitIndex1)) | (~v88(constB115, bitIndex2)) | v88(constB115, bitIndex0)),
% 7.71/5.69 inference(tautology,[status(thm)],[])).
% 7.71/5.69 tff(14142,plain,
% 7.71/5.69 (~((~v88(constB115, bitIndex1)) | (~v88(constB115, bitIndex2)) | v88(constB115, bitIndex0))),
% 7.71/5.69 inference(unit_resolution,[status(thm)],[14141, 14140, 14118, 14096])).
% 7.71/5.69 tff(14143,plain,
% 7.71/5.69 ((~(v144(constB115) <=> (~((~v88(constB115, bitIndex1)) | (~v88(constB115, bitIndex2)) | v88(constB115, bitIndex0))))) | v144(constB115) | ((~v88(constB115, bitIndex1)) | (~v88(constB115, bitIndex2)) | v88(constB115, bitIndex0))),
% 7.71/5.69 inference(tautology,[status(thm)],[])).
% 7.71/5.69 tff(14144,plain,
% 7.71/5.69 (v144(constB115)),
% 7.71/5.69 inference(unit_resolution,[status(thm)],[14143, 14142, 10354])).
% 7.71/5.69 tff(14145,plain,
% 7.71/5.69 ((v143(constB115) | v144(constB115)) | (~v144(constB115))),
% 7.71/5.69 inference(tautology,[status(thm)],[])).
% 7.71/5.69 tff(14146,plain,
% 7.71/5.69 (v143(constB115) | v144(constB115)),
% 7.71/5.69 inference(unit_resolution,[status(thm)],[14145, 14144])).
% 7.71/5.69 tff(14147,plain,
% 7.71/5.69 ((~(v142(constB115) <=> (v143(constB115) | v144(constB115)))) | v142(constB115) | (~(v143(constB115) | v144(constB115)))),
% 7.71/5.69 inference(tautology,[status(thm)],[])).
% 7.71/5.69 tff(14148,plain,
% 7.71/5.69 (v142(constB115)),
% 7.71/5.69 inference(unit_resolution,[status(thm)],[14147, 14146, 10334])).
% 7.71/5.69 tff(14149,plain,
% 7.71/5.69 ((v142(constB115) | v168(constB115)) | (~v142(constB115))),
% 7.71/5.69 inference(tautology,[status(thm)],[])).
% 7.71/5.69 tff(14150,plain,
% 7.71/5.69 (v142(constB115) | v168(constB115)),
% 7.71/5.69 inference(unit_resolution,[status(thm)],[14149, 14148])).
% 7.71/5.69 tff(14151,plain,
% 7.71/5.69 ((~(v167(constB115) <=> (v142(constB115) | v168(constB115)))) | v167(constB115) | (~(v142(constB115) | v168(constB115)))),
% 7.71/5.69 inference(tautology,[status(thm)],[])).
% 7.71/5.69 tff(14152,plain,
% 7.71/5.69 ((~(v167(constB115) <=> (v142(constB115) | v168(constB115)))) | v167(constB115)),
% 7.71/5.69 inference(unit_resolution,[status(thm)],[14151, 14150])).
% 7.71/5.69 tff(14153,plain,
% 7.71/5.69 (v167(constB115)),
% 7.71/5.69 inference(unit_resolution,[status(thm)],[14152, 10325])).
% 7.71/5.69 tff(14154,plain,
% 7.71/5.69 ((v145(constB115) | v167(constB115)) | (~v167(constB115))),
% 7.71/5.69 inference(tautology,[status(thm)],[])).
% 7.71/5.69 tff(14155,plain,
% 7.71/5.69 (v145(constB115) | v167(constB115)),
% 7.71/5.69 inference(unit_resolution,[status(thm)],[14154, 14153])).
% 7.71/5.69 tff(14156,plain,
% 7.71/5.69 ((~(v166(constB115) <=> (v145(constB115) | v167(constB115)))) | v166(constB115) | (~(v145(constB115) | v167(constB115)))),
% 7.71/5.69 inference(tautology,[status(thm)],[])).
% 7.71/5.69 tff(14157,plain,
% 7.71/5.69 (v166(constB115)),
% 7.71/5.69 inference(unit_resolution,[status(thm)],[14156, 14155, 10323])).
% 7.71/5.69 tff(14158,plain,
% 7.71/5.69 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB115)) | (v163(constB115) <=> v170(constB115)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB115)) | (v163(constB115) <=> v170(constB115)))),
% 7.71/5.69 inference(rewrite,[status(thm)],[])).
% 7.71/5.69 tff(14159,plain,
% 7.71/5.69 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB115)) | (v163(constB115) <=> v170(constB115)))),
% 7.71/5.69 inference(quant_inst,[status(thm)],[])).
% 7.71/5.69 tff(14160,plain,
% 7.71/5.69 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB115)) | (v163(constB115) <=> v170(constB115))),
% 7.71/5.69 inference(modus_ponens,[status(thm)],[14159, 14158])).
% 7.71/5.69 tff(14161,plain,
% 7.71/5.69 ((~v166(constB115)) | (v163(constB115) <=> v170(constB115))),
% 7.71/5.69 inference(unit_resolution,[status(thm)],[14160, 9851])).
% 7.71/5.69 tff(14162,plain,
% 7.71/5.69 (v163(constB115) <=> v170(constB115)),
% 7.71/5.69 inference(unit_resolution,[status(thm)],[14161, 14157])).
% 7.71/5.69 tff(14163,plain,
% 7.71/5.69 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB115) <=> (v142(constB115) | v150(constB115)))),
% 7.71/5.69 inference(quant_inst,[status(thm)],[])).
% 7.71/5.69 tff(14164,plain,
% 7.71/5.69 (v171(constB115) <=> (v142(constB115) | v150(constB115))),
% 7.71/5.69 inference(unit_resolution,[status(thm)],[14163, 9866])).
% 7.71/5.69 tff(14165,plain,
% 7.71/5.69 ((v142(constB115) | v150(constB115)) | (~v142(constB115))),
% 7.71/5.69 inference(tautology,[status(thm)],[])).
% 7.71/5.69 tff(14166,plain,
% 7.71/5.69 (v142(constB115) | v150(constB115)),
% 7.71/5.69 inference(unit_resolution,[status(thm)],[14165, 14148])).
% 7.71/5.69 tff(14167,plain,
% 7.71/5.69 ((~(v171(constB115) <=> (v142(constB115) | v150(constB115)))) | v171(constB115) | (~(v142(constB115) | v150(constB115)))),
% 7.71/5.69 inference(tautology,[status(thm)],[])).
% 7.71/5.69 tff(14168,plain,
% 7.71/5.69 ((~(v171(constB115) <=> (v142(constB115) | v150(constB115)))) | v171(constB115)),
% 7.71/5.69 inference(unit_resolution,[status(thm)],[14167, 14166])).
% 7.71/5.69 tff(14169,plain,
% 7.71/5.69 (v171(constB115)),
% 7.71/5.69 inference(unit_resolution,[status(thm)],[14168, 14164])).
% 7.71/5.69 tff(14170,plain,
% 7.71/5.69 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB115)) | (~v171(constB115)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB115)) | (~v171(constB115)))),
% 7.71/5.69 inference(rewrite,[status(thm)],[])).
% 7.71/5.69 tff(14171,plain,
% 7.71/5.69 (((~v171(constB115)) | (~v170(constB115))) <=> ((~v170(constB115)) | (~v171(constB115)))),
% 7.71/5.69 inference(rewrite,[status(thm)],[])).
% 7.71/5.69 tff(14172,plain,
% 7.71/5.69 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB115)) | (~v170(constB115)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB115)) | (~v171(constB115))))),
% 7.71/5.69 inference(monotonicity,[status(thm)],[14171])).
% 7.71/5.69 tff(14173,plain,
% 7.71/5.69 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB115)) | (~v170(constB115)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB115)) | (~v171(constB115)))),
% 7.71/5.69 inference(transitivity,[status(thm)],[14172, 14170])).
% 7.71/5.69 tff(14174,plain,
% 7.71/5.69 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB115)) | (~v170(constB115)))),
% 7.71/5.69 inference(quant_inst,[status(thm)],[])).
% 7.71/5.69 tff(14175,plain,
% 7.71/5.69 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB115)) | (~v171(constB115))),
% 7.71/5.69 inference(modus_ponens,[status(thm)],[14174, 14173])).
% 7.71/5.69 tff(14176,plain,
% 7.71/5.69 (~v170(constB115)),
% 7.71/5.69 inference(unit_resolution,[status(thm)],[14175, 9899, 14169])).
% 7.71/5.69 tff(14177,plain,
% 7.71/5.69 ((~(v163(constB115) <=> v170(constB115))) | (~v163(constB115)) | v170(constB115)),
% 7.71/5.69 inference(tautology,[status(thm)],[])).
% 7.71/5.69 tff(14178,plain,
% 7.71/5.69 (~v163(constB115)),
% 7.71/5.69 inference(unit_resolution,[status(thm)],[14177, 14176, 14162])).
% 7.71/5.69 tff(14179,plain,
% 7.71/5.69 ((~(v161(constB115) <=> v163(constB115))) | (~v161(constB115)) | v163(constB115)),
% 7.71/5.69 inference(tautology,[status(thm)],[])).
% 7.71/5.69 tff(14180,plain,
% 7.71/5.69 (~v161(constB115)),
% 7.71/5.69 inference(unit_resolution,[status(thm)],[14179, 14178, 10321])).
% 7.71/5.69 tff(14181,plain,
% 7.71/5.69 (((~v159(constB115)) | (~v161(constB115))) | v161(constB115)),
% 7.71/5.69 inference(tautology,[status(thm)],[])).
% 7.71/5.69 tff(14182,plain,
% 7.71/5.69 ((~v159(constB115)) | (~v161(constB115))),
% 7.71/5.69 inference(unit_resolution,[status(thm)],[14181, 14180])).
% 7.71/5.69 tff(14183,plain,
% 7.71/5.69 ((~(v201(constB115) <=> (~((~v159(constB115)) | (~v161(constB115)))))) | (~v201(constB115)) | (~((~v159(constB115)) | (~v161(constB115))))),
% 7.71/5.69 inference(tautology,[status(thm)],[])).
% 7.71/5.69 tff(14184,plain,
% 7.71/5.69 (~v201(constB115)),
% 7.71/5.69 inference(unit_resolution,[status(thm)],[14183, 14182, 10319])).
% 7.71/5.69 tff(14185,plain,
% 7.71/5.69 (((~v197(constB115)) | (~v201(constB115))) | v201(constB115)),
% 7.71/5.69 inference(tautology,[status(thm)],[])).
% 7.71/5.69 tff(14186,plain,
% 7.71/5.69 ((~v197(constB115)) | (~v201(constB115))),
% 7.71/5.69 inference(unit_resolution,[status(thm)],[14185, 14184])).
% 7.71/5.69 tff(14187,plain,
% 7.71/5.69 ((~(v200(constB115) <=> (~((~v197(constB115)) | (~v201(constB115)))))) | (~v200(constB115)) | (~((~v197(constB115)) | (~v201(constB115))))),
% 7.71/5.69 inference(tautology,[status(thm)],[])).
% 7.71/5.69 tff(14188,plain,
% 7.71/5.69 (~v200(constB115)),
% 7.71/5.69 inference(unit_resolution,[status(thm)],[14187, 14186, 10317])).
% 7.71/5.69 tff(14189,plain,
% 7.71/5.69 (((~v199(constB115)) | (~v200(constB115))) | v200(constB115)),
% 7.71/5.69 inference(tautology,[status(thm)],[])).
% 7.71/5.69 tff(14190,plain,
% 7.71/5.69 ((~v199(constB115)) | (~v200(constB115))),
% 7.71/5.69 inference(unit_resolution,[status(thm)],[14189, 14188])).
% 7.71/5.69 tff(14191,plain,
% 7.71/5.69 ((~(v198(constB115) <=> (~((~v199(constB115)) | (~v200(constB115)))))) | (~v198(constB115)) | (~((~v199(constB115)) | (~v200(constB115))))),
% 7.71/5.69 inference(tautology,[status(thm)],[])).
% 7.71/5.69 tff(14192,plain,
% 7.71/5.69 (~v198(constB115)),
% 7.71/5.69 inference(unit_resolution,[status(thm)],[14191, 14190, 10315])).
% 7.71/5.69 tff(14193,plain,
% 7.71/5.69 ((~(v194(constB115) | v198(constB115))) | v194(constB115) | v198(constB115)),
% 7.71/5.69 inference(tautology,[status(thm)],[])).
% 7.71/5.69 tff(14194,plain,
% 7.71/5.69 (~(v194(constB115) | v198(constB115))),
% 7.71/5.69 inference(unit_resolution,[status(thm)],[14193, 14192, 10313])).
% 7.71/5.69 tff(14195,plain,
% 7.71/5.69 ((~(v191(constB115) <=> (v194(constB115) | v198(constB115)))) | (~v191(constB115)) | (v194(constB115) | v198(constB115))),
% 7.71/5.69 inference(tautology,[status(thm)],[])).
% 7.71/5.69 tff(14196,plain,
% 7.71/5.69 (~v191(constB115)),
% 7.71/5.69 inference(unit_resolution,[status(thm)],[14195, 14194, 10237])).
% 7.71/5.69 tff(14197,plain,
% 7.71/5.69 ((~(v193(constB116) <=> v191(constB115))) | (~v193(constB116)) | v191(constB115)),
% 7.71/5.69 inference(tautology,[status(thm)],[])).
% 7.71/5.69 tff(14198,plain,
% 7.71/5.69 (~v193(constB116)),
% 7.71/5.69 inference(unit_resolution,[status(thm)],[14197, 14196, 10235])).
% 7.71/5.69 tff(14199,plain,
% 7.71/5.69 ((~(v157(constB116) <=> v193(constB116))) | (~v157(constB116)) | v193(constB116)),
% 7.71/5.69 inference(tautology,[status(thm)],[])).
% 7.71/5.69 tff(14200,plain,
% 7.71/5.69 (~v157(constB116)),
% 7.71/5.69 inference(unit_resolution,[status(thm)],[14199, 14198, 10228])).
% 7.71/5.69 tff(14201,plain,
% 7.71/5.69 (((~v157(constB116)) | (~v195(constB116))) | v157(constB116)),
% 7.71/5.69 inference(tautology,[status(thm)],[])).
% 7.71/5.69 tff(14202,plain,
% 7.71/5.69 ((~v157(constB116)) | (~v195(constB116))),
% 7.71/5.69 inference(unit_resolution,[status(thm)],[14201, 14200])).
% 7.71/5.69 tff(14203,plain,
% 7.71/5.69 ((~(v194(constB116) <=> (~((~v157(constB116)) | (~v195(constB116)))))) | (~v194(constB116)) | (~((~v157(constB116)) | (~v195(constB116))))),
% 7.71/5.69 inference(tautology,[status(thm)],[])).
% 7.71/5.70 tff(14204,plain,
% 7.71/5.70 (~v194(constB116)),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14203, 14202, 10226])).
% 7.71/5.70 tff(14205,plain,
% 7.71/5.70 ((~(v194(constB116) | v198(constB116))) | v194(constB116) | v198(constB116)),
% 7.71/5.70 inference(tautology,[status(thm)],[])).
% 7.71/5.70 tff(14206,plain,
% 7.71/5.70 (~(v194(constB116) | v198(constB116))),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14205, 14204, 10219])).
% 7.71/5.70 tff(14207,plain,
% 7.71/5.70 ((~(v191(constB116) <=> (v194(constB116) | v198(constB116)))) | (~v191(constB116)) | (v194(constB116) | v198(constB116))),
% 7.71/5.70 inference(tautology,[status(thm)],[])).
% 7.71/5.70 tff(14208,plain,
% 7.71/5.70 (~v191(constB116)),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14207, 14206, 10191])).
% 7.71/5.70 tff(14209,plain,
% 7.71/5.70 ((~(v193(constB117) <=> v191(constB116))) | (~v193(constB117)) | v191(constB116)),
% 7.71/5.70 inference(tautology,[status(thm)],[])).
% 7.71/5.70 tff(14210,plain,
% 7.71/5.70 (~v193(constB117)),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14209, 14208, 10189])).
% 7.71/5.70 tff(14211,plain,
% 7.71/5.70 ($false),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14210, 10182])).
% 7.71/5.70 tff(14212,plain,(~(constB117 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.71/5.70 tff(14213,assumption,(constB17 = VarCurr!0), introduced(assumption)).
% 7.71/5.70 tff(14214,plain,
% 7.71/5.70 (v193(constB17) <=> v193(VarCurr!0)),
% 7.71/5.70 inference(monotonicity,[status(thm)],[14213])).
% 7.71/5.70 tff(14215,plain,
% 7.71/5.70 (v193(VarCurr!0) <=> v193(constB17)),
% 7.71/5.70 inference(symmetry,[status(thm)],[14214])).
% 7.71/5.70 tff(14216,plain,
% 7.71/5.70 (v193(constB17)),
% 7.71/5.70 inference(modus_ponens,[status(thm)],[59, 14215])).
% 7.71/5.70 tff(14217,plain,
% 7.71/5.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB16, constB17)) | (v193(constB17) <=> v191(constB16)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB16, constB17)) | (v193(constB17) <=> v191(constB16)))),
% 7.71/5.70 inference(rewrite,[status(thm)],[])).
% 7.71/5.70 tff(14218,plain,
% 7.71/5.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB16, constB17)) | (v193(constB17) <=> v191(constB16)))),
% 7.71/5.70 inference(quant_inst,[status(thm)],[])).
% 7.71/5.70 tff(14219,plain,
% 7.71/5.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB16, constB17)) | (v193(constB17) <=> v191(constB16))),
% 7.71/5.70 inference(modus_ponens,[status(thm)],[14218, 14217])).
% 7.71/5.70 tff(14220,plain,
% 7.71/5.70 (v193(constB17) <=> v191(constB16)),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14219, 2629, 70])).
% 7.71/5.70 tff(14221,plain,
% 7.71/5.70 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB16) <=> (v194(constB16) | v198(constB16)))),
% 7.71/5.70 inference(quant_inst,[status(thm)],[])).
% 7.71/5.70 tff(14222,plain,
% 7.71/5.70 (v191(constB16) <=> (v194(constB16) | v198(constB16))),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14221, 84])).
% 7.71/5.70 tff(14223,plain,
% 7.71/5.70 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB16) <=> (~((~v199(constB16)) | (~v200(constB16)))))),
% 7.71/5.70 inference(quant_inst,[status(thm)],[])).
% 7.71/5.70 tff(14224,plain,
% 7.71/5.70 (v198(constB16) <=> (~((~v199(constB16)) | (~v200(constB16))))),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14223, 96])).
% 7.71/5.70 tff(14225,plain,
% 7.71/5.70 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB16) <=> (~((~v197(constB16)) | (~v201(constB16)))))),
% 7.71/5.70 inference(quant_inst,[status(thm)],[])).
% 7.71/5.70 tff(14226,plain,
% 7.71/5.70 (v200(constB16) <=> (~((~v197(constB16)) | (~v201(constB16))))),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14225, 108])).
% 7.71/5.70 tff(14227,plain,
% 7.71/5.70 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB16) <=> (~((~v39(constB16)) | (~v9(constB16)))))),
% 7.71/5.70 inference(quant_inst,[status(thm)],[])).
% 7.71/5.70 tff(14228,plain,
% 7.71/5.70 (v197(constB16) <=> (~((~v39(constB16)) | (~v9(constB16))))),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14227, 120])).
% 7.71/5.70 tff(14229,plain,
% 7.71/5.70 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB16)) <=> v1(constB16))),
% 7.71/5.70 inference(quant_inst,[status(thm)],[])).
% 7.71/5.70 tff(14230,plain,
% 7.71/5.70 ((~v39(constB16)) <=> v1(constB16)),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14229, 129])).
% 7.71/5.70 tff(14231,plain,
% 7.71/5.70 ((~((~v39(constB16)) <=> v1(constB16))) | (~v39(constB16)) | (~v1(constB16))),
% 7.71/5.70 inference(tautology,[status(thm)],[])).
% 7.71/5.70 tff(14232,plain,
% 7.71/5.70 ((~((~v39(constB16)) <=> v1(constB16))) | (~v39(constB16))),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14231, 4609])).
% 7.71/5.70 tff(14233,plain,
% 7.71/5.70 (~v39(constB16)),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14232, 14230])).
% 7.71/5.70 tff(14234,plain,
% 7.71/5.70 (((~v39(constB16)) | (~v9(constB16))) | v39(constB16)),
% 7.71/5.70 inference(tautology,[status(thm)],[])).
% 7.71/5.70 tff(14235,plain,
% 7.71/5.70 ((~v39(constB16)) | (~v9(constB16))),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14234, 14233])).
% 7.71/5.70 tff(14236,plain,
% 7.71/5.70 ((~(v197(constB16) <=> (~((~v39(constB16)) | (~v9(constB16)))))) | (~v197(constB16)) | (~((~v39(constB16)) | (~v9(constB16))))),
% 7.71/5.70 inference(tautology,[status(thm)],[])).
% 7.71/5.70 tff(14237,plain,
% 7.71/5.70 ((~(v197(constB16) <=> (~((~v39(constB16)) | (~v9(constB16)))))) | (~v197(constB16))),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14236, 14235])).
% 7.71/5.70 tff(14238,plain,
% 7.71/5.70 (~v197(constB16)),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14237, 14228])).
% 7.71/5.70 tff(14239,plain,
% 7.71/5.70 (((~v197(constB16)) | (~v201(constB16))) | v197(constB16)),
% 7.71/5.70 inference(tautology,[status(thm)],[])).
% 7.71/5.70 tff(14240,plain,
% 7.71/5.70 ((~v197(constB16)) | (~v201(constB16))),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14239, 14238])).
% 7.71/5.70 tff(14241,plain,
% 7.71/5.70 ((~(v200(constB16) <=> (~((~v197(constB16)) | (~v201(constB16)))))) | (~v200(constB16)) | (~((~v197(constB16)) | (~v201(constB16))))),
% 7.71/5.70 inference(tautology,[status(thm)],[])).
% 7.71/5.70 tff(14242,plain,
% 7.71/5.70 ((~(v200(constB16) <=> (~((~v197(constB16)) | (~v201(constB16)))))) | (~v200(constB16))),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14241, 14240])).
% 7.71/5.70 tff(14243,plain,
% 7.71/5.70 (~v200(constB16)),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14242, 14226])).
% 7.71/5.70 tff(14244,plain,
% 7.71/5.70 (((~v199(constB16)) | (~v200(constB16))) | v200(constB16)),
% 7.71/5.70 inference(tautology,[status(thm)],[])).
% 7.71/5.70 tff(14245,plain,
% 7.71/5.70 ((~v199(constB16)) | (~v200(constB16))),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14244, 14243])).
% 7.71/5.70 tff(14246,plain,
% 7.71/5.70 ((~(v198(constB16) <=> (~((~v199(constB16)) | (~v200(constB16)))))) | (~v198(constB16)) | (~((~v199(constB16)) | (~v200(constB16))))),
% 7.71/5.70 inference(tautology,[status(thm)],[])).
% 7.71/5.70 tff(14247,plain,
% 7.71/5.70 (~v198(constB16)),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14246, 14245, 14224])).
% 7.71/5.70 tff(14248,plain,
% 7.71/5.70 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB16) <=> (~((~v157(constB16)) | (~v195(constB16)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB16) <=> (~((~v157(constB16)) | (~v195(constB16))))))),
% 7.71/5.70 inference(rewrite,[status(thm)],[])).
% 7.71/5.70 tff(14249,plain,
% 7.71/5.70 ((v194(constB16) <=> (~((~v195(constB16)) | (~v157(constB16))))) <=> (v194(constB16) <=> (~((~v157(constB16)) | (~v195(constB16)))))),
% 7.71/5.70 inference(rewrite,[status(thm)],[])).
% 7.71/5.70 tff(14250,plain,
% 7.71/5.70 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB16) <=> (~((~v195(constB16)) | (~v157(constB16)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB16) <=> (~((~v157(constB16)) | (~v195(constB16))))))),
% 7.71/5.70 inference(monotonicity,[status(thm)],[14249])).
% 7.71/5.70 tff(14251,plain,
% 7.71/5.70 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB16) <=> (~((~v195(constB16)) | (~v157(constB16)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB16) <=> (~((~v157(constB16)) | (~v195(constB16))))))),
% 7.71/5.70 inference(transitivity,[status(thm)],[14250, 14248])).
% 7.71/5.70 tff(14252,plain,
% 7.71/5.70 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB16) <=> (~((~v195(constB16)) | (~v157(constB16)))))),
% 7.71/5.70 inference(quant_inst,[status(thm)],[])).
% 7.71/5.70 tff(14253,plain,
% 7.71/5.70 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB16) <=> (~((~v157(constB16)) | (~v195(constB16)))))),
% 7.71/5.70 inference(modus_ponens,[status(thm)],[14252, 14251])).
% 7.71/5.70 tff(14254,plain,
% 7.71/5.70 (v194(constB16) <=> (~((~v157(constB16)) | (~v195(constB16))))),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14253, 161])).
% 7.71/5.70 tff(14255,plain,
% 7.71/5.70 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB16) <=> v193(constB16))),
% 7.71/5.70 inference(quant_inst,[status(thm)],[])).
% 7.71/5.70 tff(14256,plain,
% 7.71/5.70 (v157(constB16) <=> v193(constB16)),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14255, 13])).
% 7.71/5.70 tff(14257,plain,
% 7.71/5.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB15, constB16)) | (v193(constB16) <=> v191(constB15)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB15, constB16)) | (v193(constB16) <=> v191(constB15)))),
% 7.71/5.70 inference(rewrite,[status(thm)],[])).
% 7.71/5.70 tff(14258,plain,
% 7.71/5.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB15, constB16)) | (v193(constB16) <=> v191(constB15)))),
% 7.71/5.70 inference(quant_inst,[status(thm)],[])).
% 7.71/5.70 tff(14259,plain,
% 7.71/5.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB15, constB16)) | (v193(constB16) <=> v191(constB15))),
% 7.71/5.70 inference(modus_ponens,[status(thm)],[14258, 14257])).
% 7.71/5.70 tff(14260,plain,
% 7.71/5.70 (v193(constB16) <=> v191(constB15)),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14259, 2665, 70])).
% 7.71/5.70 tff(14261,plain,
% 7.71/5.70 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB15) <=> (v194(constB15) | v198(constB15)))),
% 7.71/5.70 inference(quant_inst,[status(thm)],[])).
% 7.71/5.70 tff(14262,plain,
% 7.71/5.70 (v191(constB15) <=> (v194(constB15) | v198(constB15))),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14261, 84])).
% 7.71/5.70 tff(14263,plain,
% 7.71/5.70 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB15) <=> (~((~v157(constB15)) | (~v195(constB15)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB15) <=> (~((~v157(constB15)) | (~v195(constB15))))))),
% 7.71/5.70 inference(rewrite,[status(thm)],[])).
% 7.71/5.70 tff(14264,plain,
% 7.71/5.70 ((v194(constB15) <=> (~((~v195(constB15)) | (~v157(constB15))))) <=> (v194(constB15) <=> (~((~v157(constB15)) | (~v195(constB15)))))),
% 7.71/5.70 inference(rewrite,[status(thm)],[])).
% 7.71/5.70 tff(14265,plain,
% 7.71/5.70 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB15) <=> (~((~v195(constB15)) | (~v157(constB15)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB15) <=> (~((~v157(constB15)) | (~v195(constB15))))))),
% 7.71/5.70 inference(monotonicity,[status(thm)],[14264])).
% 7.71/5.70 tff(14266,plain,
% 7.71/5.70 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB15) <=> (~((~v195(constB15)) | (~v157(constB15)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB15) <=> (~((~v157(constB15)) | (~v195(constB15))))))),
% 7.71/5.70 inference(transitivity,[status(thm)],[14265, 14263])).
% 7.71/5.70 tff(14267,plain,
% 7.71/5.70 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB15) <=> (~((~v195(constB15)) | (~v157(constB15)))))),
% 7.71/5.70 inference(quant_inst,[status(thm)],[])).
% 7.71/5.70 tff(14268,plain,
% 7.71/5.70 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB15) <=> (~((~v157(constB15)) | (~v195(constB15)))))),
% 7.71/5.70 inference(modus_ponens,[status(thm)],[14267, 14266])).
% 7.71/5.70 tff(14269,plain,
% 7.71/5.70 (v194(constB15) <=> (~((~v157(constB15)) | (~v195(constB15))))),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14268, 161])).
% 7.71/5.70 tff(14270,plain,
% 7.71/5.70 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB15)) <=> v196(constB15))),
% 7.71/5.70 inference(quant_inst,[status(thm)],[])).
% 7.71/5.70 tff(14271,plain,
% 7.71/5.70 ((~v195(constB15)) <=> v196(constB15)),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14270, 193])).
% 7.71/5.70 tff(14272,plain,
% 7.71/5.70 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB15) <=> (v197(constB15) | v26(constB15)))),
% 7.71/5.70 inference(quant_inst,[status(thm)],[])).
% 7.71/5.70 tff(14273,plain,
% 7.71/5.70 (v196(constB15) <=> (v197(constB15) | v26(constB15))),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14272, 202])).
% 7.71/5.70 tff(14274,plain,
% 7.71/5.70 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB15) <=> (~((~v39(constB15)) | (~v9(constB15)))))),
% 7.71/5.70 inference(quant_inst,[status(thm)],[])).
% 7.71/5.70 tff(14275,plain,
% 7.71/5.70 (v197(constB15) <=> (~((~v39(constB15)) | (~v9(constB15))))),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14274, 120])).
% 7.71/5.70 tff(14276,plain,
% 7.71/5.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB15, constB16)) | (v13(constB16) <=> v9(constB15)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB15, constB16)) | (v13(constB16) <=> v9(constB15)))),
% 7.71/5.70 inference(rewrite,[status(thm)],[])).
% 7.71/5.70 tff(14277,plain,
% 7.71/5.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB15, constB16)) | (v13(constB16) <=> v9(constB15)))),
% 7.71/5.70 inference(quant_inst,[status(thm)],[])).
% 7.71/5.70 tff(14278,plain,
% 7.71/5.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB15, constB16)) | (v13(constB16) <=> v9(constB15))),
% 7.71/5.70 inference(modus_ponens,[status(thm)],[14277, 14276])).
% 7.71/5.70 tff(14279,plain,
% 7.71/5.70 (v13(constB16) <=> v9(constB15)),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14278, 2665, 216])).
% 7.71/5.70 tff(14280,plain,
% 7.71/5.70 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB16) <=> v13(constB16))),
% 7.71/5.70 inference(quant_inst,[status(thm)],[])).
% 7.71/5.70 tff(14281,plain,
% 7.71/5.70 (v6(constB16) <=> v13(constB16)),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14280, 230])).
% 7.71/5.70 tff(14282,plain,
% 7.71/5.70 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB16)) <=> v6(constB16))),
% 7.71/5.70 inference(quant_inst,[status(thm)],[])).
% 7.71/5.70 tff(14283,plain,
% 7.71/5.70 ((~v21(constB16)) <=> v6(constB16)),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14282, 239])).
% 7.71/5.70 tff(14284,plain,
% 7.71/5.70 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB16) <=> (v20(constB16) | v21(constB16)))),
% 7.71/5.70 inference(quant_inst,[status(thm)],[])).
% 7.71/5.70 tff(14285,plain,
% 7.71/5.70 (v19(constB16) <=> (v20(constB16) | v21(constB16))),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14284, 248])).
% 7.71/5.70 tff(14286,plain,
% 7.71/5.70 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB16) <=> (~((~v19(constB16)) | (~v22(constB16)))))),
% 7.71/5.70 inference(quant_inst,[status(thm)],[])).
% 7.71/5.70 tff(14287,plain,
% 7.71/5.70 (v18(constB16) <=> (~((~v19(constB16)) | (~v22(constB16))))),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14286, 260])).
% 7.71/5.70 tff(14288,plain,
% 7.71/5.70 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB16)) <=> v18(constB16))),
% 7.71/5.70 inference(quant_inst,[status(thm)],[])).
% 7.71/5.70 tff(14289,plain,
% 7.71/5.70 ((~v4(constB16)) <=> v18(constB16)),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14288, 269])).
% 7.71/5.70 tff(14290,plain,
% 7.71/5.70 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB16)),
% 7.71/5.70 inference(quant_inst,[status(thm)],[])).
% 7.71/5.70 tff(14291,plain,
% 7.71/5.70 (v4(constB16)),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14290, 278])).
% 7.71/5.70 tff(14292,plain,
% 7.71/5.70 ((~((~v4(constB16)) <=> v18(constB16))) | (~v4(constB16)) | (~v18(constB16))),
% 7.71/5.70 inference(tautology,[status(thm)],[])).
% 7.71/5.70 tff(14293,plain,
% 7.71/5.70 (~v18(constB16)),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14292, 14291, 14289])).
% 7.71/5.70 tff(14294,plain,
% 7.71/5.70 ((~(v18(constB16) <=> (~((~v19(constB16)) | (~v22(constB16)))))) | v18(constB16) | ((~v19(constB16)) | (~v22(constB16)))),
% 7.71/5.70 inference(tautology,[status(thm)],[])).
% 7.71/5.70 tff(14295,plain,
% 7.71/5.70 ((~v19(constB16)) | (~v22(constB16))),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14294, 14293, 14287])).
% 7.71/5.70 tff(14296,plain,
% 7.71/5.70 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB16) <=> (v1(constB16) | v6(constB16)))),
% 7.71/5.70 inference(quant_inst,[status(thm)],[])).
% 7.71/5.70 tff(14297,plain,
% 7.71/5.70 (v22(constB16) <=> (v1(constB16) | v6(constB16))),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14296, 291])).
% 7.71/5.70 tff(14298,plain,
% 7.71/5.70 ((v1(constB16) | v6(constB16)) | (~v1(constB16))),
% 7.71/5.70 inference(tautology,[status(thm)],[])).
% 7.71/5.70 tff(14299,plain,
% 7.71/5.70 (v1(constB16) | v6(constB16)),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14298, 4609])).
% 7.71/5.70 tff(14300,plain,
% 7.71/5.70 ((~(v22(constB16) <=> (v1(constB16) | v6(constB16)))) | v22(constB16) | (~(v1(constB16) | v6(constB16)))),
% 7.71/5.70 inference(tautology,[status(thm)],[])).
% 7.71/5.70 tff(14301,plain,
% 7.71/5.70 ((~(v22(constB16) <=> (v1(constB16) | v6(constB16)))) | v22(constB16)),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14300, 14299])).
% 7.71/5.70 tff(14302,plain,
% 7.71/5.70 (v22(constB16)),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14301, 14297])).
% 7.71/5.70 tff(14303,plain,
% 7.71/5.70 ((~((~v19(constB16)) | (~v22(constB16)))) | (~v19(constB16)) | (~v22(constB16))),
% 7.71/5.70 inference(tautology,[status(thm)],[])).
% 7.71/5.70 tff(14304,plain,
% 7.71/5.70 ((~((~v19(constB16)) | (~v22(constB16)))) | (~v19(constB16))),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14303, 14302])).
% 7.71/5.70 tff(14305,plain,
% 7.71/5.70 (~v19(constB16)),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14304, 14295])).
% 7.71/5.70 tff(14306,plain,
% 7.71/5.70 ((~(v19(constB16) <=> (v20(constB16) | v21(constB16)))) | v19(constB16) | (~(v20(constB16) | v21(constB16)))),
% 7.71/5.70 inference(tautology,[status(thm)],[])).
% 7.71/5.70 tff(14307,plain,
% 7.71/5.70 (~(v20(constB16) | v21(constB16))),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14306, 14305, 14285])).
% 7.71/5.70 tff(14308,plain,
% 7.71/5.70 ((v20(constB16) | v21(constB16)) | (~v21(constB16))),
% 7.71/5.70 inference(tautology,[status(thm)],[])).
% 7.71/5.70 tff(14309,plain,
% 7.71/5.70 (~v21(constB16)),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14308, 14307])).
% 7.71/5.70 tff(14310,plain,
% 7.71/5.70 ((~((~v21(constB16)) <=> v6(constB16))) | v21(constB16) | v6(constB16)),
% 7.71/5.70 inference(tautology,[status(thm)],[])).
% 7.71/5.70 tff(14311,plain,
% 7.71/5.70 (v6(constB16)),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14310, 14309, 14283])).
% 7.71/5.70 tff(14312,plain,
% 7.71/5.70 ((~(v6(constB16) <=> v13(constB16))) | (~v6(constB16)) | v13(constB16)),
% 7.71/5.70 inference(tautology,[status(thm)],[])).
% 7.71/5.70 tff(14313,plain,
% 7.71/5.70 (v13(constB16)),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14312, 14311, 14281])).
% 7.71/5.70 tff(14314,plain,
% 7.71/5.70 ((~(v13(constB16) <=> v9(constB15))) | (~v13(constB16)) | v9(constB15)),
% 7.71/5.70 inference(tautology,[status(thm)],[])).
% 7.71/5.70 tff(14315,plain,
% 7.71/5.70 (v9(constB15)),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14314, 14313, 14279])).
% 7.71/5.70 tff(14316,plain,
% 7.71/5.70 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB15)) <=> v1(constB15))),
% 7.71/5.70 inference(quant_inst,[status(thm)],[])).
% 7.71/5.70 tff(14317,plain,
% 7.71/5.70 ((~v39(constB15)) <=> v1(constB15)),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14316, 129])).
% 7.71/5.70 tff(14318,plain,
% 7.71/5.70 ((~((~v39(constB15)) <=> v1(constB15))) | v39(constB15) | v1(constB15)),
% 7.71/5.70 inference(tautology,[status(thm)],[])).
% 7.71/5.70 tff(14319,plain,
% 7.71/5.70 ((~((~v39(constB15)) <=> v1(constB15))) | v39(constB15)),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14318, 2704])).
% 7.71/5.70 tff(14320,plain,
% 7.71/5.70 (v39(constB15)),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14319, 14317])).
% 7.71/5.70 tff(14321,plain,
% 7.71/5.70 ((~((~v39(constB15)) | (~v9(constB15)))) | (~v39(constB15)) | (~v9(constB15))),
% 7.71/5.70 inference(tautology,[status(thm)],[])).
% 7.71/5.70 tff(14322,plain,
% 7.71/5.70 ((~((~v39(constB15)) | (~v9(constB15)))) | (~v9(constB15))),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14321, 14320])).
% 7.71/5.70 tff(14323,plain,
% 7.71/5.70 (~((~v39(constB15)) | (~v9(constB15)))),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14322, 14315])).
% 7.71/5.70 tff(14324,plain,
% 7.71/5.70 ((~(v197(constB15) <=> (~((~v39(constB15)) | (~v9(constB15)))))) | v197(constB15) | ((~v39(constB15)) | (~v9(constB15)))),
% 7.71/5.70 inference(tautology,[status(thm)],[])).
% 7.71/5.70 tff(14325,plain,
% 7.71/5.70 (v197(constB15)),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14324, 14323, 14275])).
% 7.71/5.70 tff(14326,plain,
% 7.71/5.70 ((v197(constB15) | v26(constB15)) | (~v197(constB15))),
% 7.71/5.70 inference(tautology,[status(thm)],[])).
% 7.71/5.70 tff(14327,plain,
% 7.71/5.70 (v197(constB15) | v26(constB15)),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14326, 14325])).
% 7.71/5.70 tff(14328,plain,
% 7.71/5.70 ((~(v196(constB15) <=> (v197(constB15) | v26(constB15)))) | v196(constB15) | (~(v197(constB15) | v26(constB15)))),
% 7.71/5.70 inference(tautology,[status(thm)],[])).
% 7.71/5.70 tff(14329,plain,
% 7.71/5.70 (v196(constB15)),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14328, 14327, 14273])).
% 7.71/5.70 tff(14330,plain,
% 7.71/5.70 ((~((~v195(constB15)) <=> v196(constB15))) | (~v195(constB15)) | (~v196(constB15))),
% 7.71/5.70 inference(tautology,[status(thm)],[])).
% 7.71/5.70 tff(14331,plain,
% 7.71/5.70 (~v195(constB15)),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14330, 14329, 14271])).
% 7.71/5.70 tff(14332,plain,
% 7.71/5.70 (((~v157(constB15)) | (~v195(constB15))) | v195(constB15)),
% 7.71/5.70 inference(tautology,[status(thm)],[])).
% 7.71/5.70 tff(14333,plain,
% 7.71/5.70 ((~v157(constB15)) | (~v195(constB15))),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14332, 14331])).
% 7.71/5.70 tff(14334,plain,
% 7.71/5.70 ((~(v194(constB15) <=> (~((~v157(constB15)) | (~v195(constB15)))))) | (~v194(constB15)) | (~((~v157(constB15)) | (~v195(constB15))))),
% 7.71/5.70 inference(tautology,[status(thm)],[])).
% 7.71/5.70 tff(14335,plain,
% 7.71/5.70 (~v194(constB15)),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14334, 14333, 14269])).
% 7.71/5.70 tff(14336,plain,
% 7.71/5.70 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB15) <=> (~((~v199(constB15)) | (~v200(constB15)))))),
% 7.71/5.70 inference(quant_inst,[status(thm)],[])).
% 7.71/5.70 tff(14337,plain,
% 7.71/5.70 (v198(constB15) <=> (~((~v199(constB15)) | (~v200(constB15))))),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14336, 96])).
% 7.71/5.70 tff(14338,plain,
% 7.71/5.70 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB15) <=> (~((~v197(constB15)) | (~v201(constB15)))))),
% 7.71/5.70 inference(quant_inst,[status(thm)],[])).
% 7.71/5.70 tff(14339,plain,
% 7.71/5.70 (v200(constB15) <=> (~((~v197(constB15)) | (~v201(constB15))))),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14338, 108])).
% 7.71/5.70 tff(14340,plain,
% 7.71/5.70 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB15) <=> (~((~v159(constB15)) | (~v161(constB15)))))),
% 7.71/5.70 inference(quant_inst,[status(thm)],[])).
% 7.71/5.70 tff(14341,plain,
% 7.71/5.70 (v201(constB15) <=> (~((~v159(constB15)) | (~v161(constB15))))),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14340, 348])).
% 7.71/5.70 tff(14342,plain,
% 7.71/5.70 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB15) <=> v163(constB15))),
% 7.71/5.70 inference(quant_inst,[status(thm)],[])).
% 7.71/5.70 tff(14343,plain,
% 7.71/5.70 (v161(constB15) <=> v163(constB15)),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14342, 357])).
% 7.71/5.70 tff(14344,plain,
% 7.71/5.70 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB15) <=> (v145(constB15) | v167(constB15)))),
% 7.71/5.70 inference(quant_inst,[status(thm)],[])).
% 7.71/5.70 tff(14345,plain,
% 7.71/5.70 (v166(constB15) <=> (v145(constB15) | v167(constB15))),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14344, 369])).
% 7.71/5.70 tff(14346,plain,
% 7.71/5.70 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB15) <=> (v142(constB15) | v168(constB15)))),
% 7.71/5.70 inference(quant_inst,[status(thm)],[])).
% 7.71/5.70 tff(14347,plain,
% 7.71/5.70 (v167(constB15) <=> (v142(constB15) | v168(constB15))),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14346, 381])).
% 7.71/5.70 tff(14348,plain,
% 7.71/5.70 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB15) <=> (v143(constB15) | v144(constB15)))),
% 7.71/5.70 inference(quant_inst,[status(thm)],[])).
% 7.71/5.70 tff(14349,plain,
% 7.71/5.70 (v142(constB15) <=> (v143(constB15) | v144(constB15))),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14348, 10332])).
% 7.71/5.70 tff(14350,plain,
% 7.71/5.70 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB15) <=> (~((~v88(constB15, bitIndex1)) | (~v88(constB15, bitIndex2)) | v88(constB15, bitIndex0))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB15) <=> (~((~v88(constB15, bitIndex1)) | (~v88(constB15, bitIndex2)) | v88(constB15, bitIndex0)))))),
% 7.71/5.70 inference(rewrite,[status(thm)],[])).
% 7.71/5.70 tff(14351,plain,
% 7.71/5.70 ((v144(constB15) <=> (~(v88(constB15, bitIndex0) | (~v88(constB15, bitIndex1)) | (~v88(constB15, bitIndex2))))) <=> (v144(constB15) <=> (~((~v88(constB15, bitIndex1)) | (~v88(constB15, bitIndex2)) | v88(constB15, bitIndex0))))),
% 7.71/5.70 inference(rewrite,[status(thm)],[])).
% 7.71/5.70 tff(14352,plain,
% 7.71/5.70 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB15) <=> (~(v88(constB15, bitIndex0) | (~v88(constB15, bitIndex1)) | (~v88(constB15, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB15) <=> (~((~v88(constB15, bitIndex1)) | (~v88(constB15, bitIndex2)) | v88(constB15, bitIndex0)))))),
% 7.71/5.70 inference(monotonicity,[status(thm)],[14351])).
% 7.71/5.70 tff(14353,plain,
% 7.71/5.70 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB15) <=> (~(v88(constB15, bitIndex0) | (~v88(constB15, bitIndex1)) | (~v88(constB15, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB15) <=> (~((~v88(constB15, bitIndex1)) | (~v88(constB15, bitIndex2)) | v88(constB15, bitIndex0)))))),
% 7.71/5.70 inference(transitivity,[status(thm)],[14352, 14350])).
% 7.71/5.70 tff(14354,plain,
% 7.71/5.70 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB15) <=> (~(v88(constB15, bitIndex0) | (~v88(constB15, bitIndex1)) | (~v88(constB15, bitIndex2)))))),
% 7.71/5.70 inference(quant_inst,[status(thm)],[])).
% 7.71/5.70 tff(14355,plain,
% 7.71/5.70 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB15) <=> (~((~v88(constB15, bitIndex1)) | (~v88(constB15, bitIndex2)) | v88(constB15, bitIndex0))))),
% 7.71/5.70 inference(modus_ponens,[status(thm)],[14354, 14353])).
% 7.71/5.70 tff(14356,plain,
% 7.71/5.70 (v144(constB15) <=> (~((~v88(constB15, bitIndex1)) | (~v88(constB15, bitIndex2)) | v88(constB15, bitIndex0)))),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14355, 10347])).
% 7.71/5.70 tff(14357,plain,
% 7.71/5.70 ((~![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))) | (~(((~v88(constB15, bitIndex1)) <=> v90(constB15, bitIndex1)) | ((~v88(constB15, bitIndex2)) <=> v90(constB15, bitIndex2)) | ((~v88(constB15, bitIndex0)) <=> v90(constB15, bitIndex0))))),
% 7.71/5.70 inference(quant_inst,[status(thm)],[])).
% 7.71/5.70 tff(14358,plain,
% 7.71/5.70 (~(((~v88(constB15, bitIndex1)) <=> v90(constB15, bitIndex1)) | ((~v88(constB15, bitIndex2)) <=> v90(constB15, bitIndex2)) | ((~v88(constB15, bitIndex0)) <=> v90(constB15, bitIndex0)))),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14357, 428])).
% 7.71/5.70 tff(14359,plain,
% 7.71/5.70 ((((~v88(constB15, bitIndex1)) <=> v90(constB15, bitIndex1)) | ((~v88(constB15, bitIndex2)) <=> v90(constB15, bitIndex2)) | ((~v88(constB15, bitIndex0)) <=> v90(constB15, bitIndex0))) | (~((~v88(constB15, bitIndex2)) <=> v90(constB15, bitIndex2)))),
% 7.71/5.70 inference(tautology,[status(thm)],[])).
% 7.71/5.70 tff(14360,plain,
% 7.71/5.70 (~((~v88(constB15, bitIndex2)) <=> v90(constB15, bitIndex2))),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14359, 14358])).
% 7.71/5.70 tff(14361,plain,
% 7.71/5.70 (((~v88(constB15, bitIndex2)) <=> v90(constB15, bitIndex2)) | v88(constB15, bitIndex2) | (~v90(constB15, bitIndex2))),
% 7.71/5.70 inference(tautology,[status(thm)],[])).
% 7.71/5.70 tff(14362,plain,
% 7.71/5.70 (v88(constB15, bitIndex2)),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14361, 4555, 14360])).
% 7.71/5.70 tff(14363,plain,
% 7.71/5.70 ((((~v88(constB15, bitIndex1)) <=> v90(constB15, bitIndex1)) | ((~v88(constB15, bitIndex2)) <=> v90(constB15, bitIndex2)) | ((~v88(constB15, bitIndex0)) <=> v90(constB15, bitIndex0))) | (~((~v88(constB15, bitIndex0)) <=> v90(constB15, bitIndex0)))),
% 7.71/5.70 inference(tautology,[status(thm)],[])).
% 7.71/5.70 tff(14364,plain,
% 7.71/5.70 (~((~v88(constB15, bitIndex0)) <=> v90(constB15, bitIndex0))),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14363, 14358])).
% 7.71/5.70 tff(14365,plain,
% 7.71/5.70 (((~v88(constB15, bitIndex0)) <=> v90(constB15, bitIndex0)) | (~v88(constB15, bitIndex0)) | v90(constB15, bitIndex0)),
% 7.71/5.70 inference(tautology,[status(thm)],[])).
% 7.71/5.70 tff(14366,plain,
% 7.71/5.70 (~v88(constB15, bitIndex0)),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14365, 4475, 14364])).
% 7.71/5.70 tff(14367,plain,
% 7.71/5.70 ((((~v88(constB15, bitIndex1)) <=> v90(constB15, bitIndex1)) | ((~v88(constB15, bitIndex2)) <=> v90(constB15, bitIndex2)) | ((~v88(constB15, bitIndex0)) <=> v90(constB15, bitIndex0))) | (~((~v88(constB15, bitIndex1)) <=> v90(constB15, bitIndex1)))),
% 7.71/5.70 inference(tautology,[status(thm)],[])).
% 7.71/5.70 tff(14368,plain,
% 7.71/5.70 (~((~v88(constB15, bitIndex1)) <=> v90(constB15, bitIndex1))),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14367, 14358])).
% 7.71/5.70 tff(14369,plain,
% 7.71/5.70 (((~v88(constB15, bitIndex1)) <=> v90(constB15, bitIndex1)) | v88(constB15, bitIndex1) | (~v90(constB15, bitIndex1))),
% 7.71/5.70 inference(tautology,[status(thm)],[])).
% 7.71/5.70 tff(14370,plain,
% 7.71/5.70 (v88(constB15, bitIndex1)),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14369, 4515, 14368])).
% 7.71/5.70 tff(14371,plain,
% 7.71/5.70 ((~((~v88(constB15, bitIndex1)) | (~v88(constB15, bitIndex2)) | v88(constB15, bitIndex0))) | (~v88(constB15, bitIndex1)) | (~v88(constB15, bitIndex2)) | v88(constB15, bitIndex0)),
% 7.71/5.70 inference(tautology,[status(thm)],[])).
% 7.71/5.70 tff(14372,plain,
% 7.71/5.70 (~((~v88(constB15, bitIndex1)) | (~v88(constB15, bitIndex2)) | v88(constB15, bitIndex0))),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14371, 14370, 14366, 14362])).
% 7.71/5.70 tff(14373,plain,
% 7.71/5.70 ((~(v144(constB15) <=> (~((~v88(constB15, bitIndex1)) | (~v88(constB15, bitIndex2)) | v88(constB15, bitIndex0))))) | v144(constB15) | ((~v88(constB15, bitIndex1)) | (~v88(constB15, bitIndex2)) | v88(constB15, bitIndex0))),
% 7.71/5.70 inference(tautology,[status(thm)],[])).
% 7.71/5.70 tff(14374,plain,
% 7.71/5.70 (v144(constB15)),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14373, 14372, 14356])).
% 7.71/5.70 tff(14375,plain,
% 7.71/5.70 ((v143(constB15) | v144(constB15)) | (~v144(constB15))),
% 7.71/5.70 inference(tautology,[status(thm)],[])).
% 7.71/5.70 tff(14376,plain,
% 7.71/5.70 (v143(constB15) | v144(constB15)),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14375, 14374])).
% 7.71/5.70 tff(14377,plain,
% 7.71/5.70 ((~(v142(constB15) <=> (v143(constB15) | v144(constB15)))) | v142(constB15) | (~(v143(constB15) | v144(constB15)))),
% 7.71/5.70 inference(tautology,[status(thm)],[])).
% 7.71/5.70 tff(14378,plain,
% 7.71/5.70 (v142(constB15)),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14377, 14376, 14349])).
% 7.71/5.70 tff(14379,plain,
% 7.71/5.70 ((v142(constB15) | v168(constB15)) | (~v142(constB15))),
% 7.71/5.70 inference(tautology,[status(thm)],[])).
% 7.71/5.70 tff(14380,plain,
% 7.71/5.70 (v142(constB15) | v168(constB15)),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14379, 14378])).
% 7.71/5.70 tff(14381,plain,
% 7.71/5.70 ((~(v167(constB15) <=> (v142(constB15) | v168(constB15)))) | v167(constB15) | (~(v142(constB15) | v168(constB15)))),
% 7.71/5.70 inference(tautology,[status(thm)],[])).
% 7.71/5.70 tff(14382,plain,
% 7.71/5.70 ((~(v167(constB15) <=> (v142(constB15) | v168(constB15)))) | v167(constB15)),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14381, 14380])).
% 7.71/5.70 tff(14383,plain,
% 7.71/5.70 (v167(constB15)),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14382, 14347])).
% 7.71/5.70 tff(14384,plain,
% 7.71/5.70 ((v145(constB15) | v167(constB15)) | (~v167(constB15))),
% 7.71/5.70 inference(tautology,[status(thm)],[])).
% 7.71/5.70 tff(14385,plain,
% 7.71/5.70 (v145(constB15) | v167(constB15)),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14384, 14383])).
% 7.71/5.70 tff(14386,plain,
% 7.71/5.70 ((~(v166(constB15) <=> (v145(constB15) | v167(constB15)))) | v166(constB15) | (~(v145(constB15) | v167(constB15)))),
% 7.71/5.70 inference(tautology,[status(thm)],[])).
% 7.71/5.70 tff(14387,plain,
% 7.71/5.70 (v166(constB15)),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14386, 14385, 14345])).
% 7.71/5.70 tff(14388,plain,
% 7.71/5.70 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB15)) | (v163(constB15) <=> v170(constB15)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB15)) | (v163(constB15) <=> v170(constB15)))),
% 7.71/5.70 inference(rewrite,[status(thm)],[])).
% 7.71/5.70 tff(14389,plain,
% 7.71/5.70 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB15)) | (v163(constB15) <=> v170(constB15)))),
% 7.71/5.70 inference(quant_inst,[status(thm)],[])).
% 7.71/5.70 tff(14390,plain,
% 7.71/5.70 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB15)) | (v163(constB15) <=> v170(constB15))),
% 7.71/5.70 inference(modus_ponens,[status(thm)],[14389, 14388])).
% 7.71/5.70 tff(14391,plain,
% 7.71/5.70 ((~v166(constB15)) | (v163(constB15) <=> v170(constB15))),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14390, 9851])).
% 7.71/5.70 tff(14392,plain,
% 7.71/5.70 (v163(constB15) <=> v170(constB15)),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14391, 14387])).
% 7.71/5.70 tff(14393,plain,
% 7.71/5.70 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB15) <=> (v142(constB15) | v150(constB15)))),
% 7.71/5.70 inference(quant_inst,[status(thm)],[])).
% 7.71/5.70 tff(14394,plain,
% 7.71/5.70 (v171(constB15) <=> (v142(constB15) | v150(constB15))),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14393, 9866])).
% 7.71/5.70 tff(14395,plain,
% 7.71/5.70 ((v142(constB15) | v150(constB15)) | (~v142(constB15))),
% 7.71/5.70 inference(tautology,[status(thm)],[])).
% 7.71/5.70 tff(14396,plain,
% 7.71/5.70 (v142(constB15) | v150(constB15)),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14395, 14378])).
% 7.71/5.70 tff(14397,plain,
% 7.71/5.70 ((~(v171(constB15) <=> (v142(constB15) | v150(constB15)))) | v171(constB15) | (~(v142(constB15) | v150(constB15)))),
% 7.71/5.70 inference(tautology,[status(thm)],[])).
% 7.71/5.70 tff(14398,plain,
% 7.71/5.70 ((~(v171(constB15) <=> (v142(constB15) | v150(constB15)))) | v171(constB15)),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14397, 14396])).
% 7.71/5.70 tff(14399,plain,
% 7.71/5.70 (v171(constB15)),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14398, 14394])).
% 7.71/5.70 tff(14400,plain,
% 7.71/5.70 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB15)) | (~v171(constB15)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB15)) | (~v171(constB15)))),
% 7.71/5.70 inference(rewrite,[status(thm)],[])).
% 7.71/5.70 tff(14401,plain,
% 7.71/5.70 (((~v171(constB15)) | (~v170(constB15))) <=> ((~v170(constB15)) | (~v171(constB15)))),
% 7.71/5.70 inference(rewrite,[status(thm)],[])).
% 7.71/5.70 tff(14402,plain,
% 7.71/5.70 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB15)) | (~v170(constB15)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB15)) | (~v171(constB15))))),
% 7.71/5.70 inference(monotonicity,[status(thm)],[14401])).
% 7.71/5.70 tff(14403,plain,
% 7.71/5.70 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB15)) | (~v170(constB15)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB15)) | (~v171(constB15)))),
% 7.71/5.70 inference(transitivity,[status(thm)],[14402, 14400])).
% 7.71/5.70 tff(14404,plain,
% 7.71/5.70 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB15)) | (~v170(constB15)))),
% 7.71/5.70 inference(quant_inst,[status(thm)],[])).
% 7.71/5.70 tff(14405,plain,
% 7.71/5.70 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB15)) | (~v171(constB15))),
% 7.71/5.70 inference(modus_ponens,[status(thm)],[14404, 14403])).
% 7.71/5.70 tff(14406,plain,
% 7.71/5.70 (~v170(constB15)),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14405, 9899, 14399])).
% 7.71/5.70 tff(14407,plain,
% 7.71/5.70 ((~(v163(constB15) <=> v170(constB15))) | (~v163(constB15)) | v170(constB15)),
% 7.71/5.70 inference(tautology,[status(thm)],[])).
% 7.71/5.70 tff(14408,plain,
% 7.71/5.70 (~v163(constB15)),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14407, 14406, 14392])).
% 7.71/5.70 tff(14409,plain,
% 7.71/5.70 ((~(v161(constB15) <=> v163(constB15))) | (~v161(constB15)) | v163(constB15)),
% 7.71/5.70 inference(tautology,[status(thm)],[])).
% 7.71/5.70 tff(14410,plain,
% 7.71/5.70 (~v161(constB15)),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14409, 14408, 14343])).
% 7.71/5.70 tff(14411,plain,
% 7.71/5.70 (((~v159(constB15)) | (~v161(constB15))) | v161(constB15)),
% 7.71/5.70 inference(tautology,[status(thm)],[])).
% 7.71/5.70 tff(14412,plain,
% 7.71/5.70 ((~v159(constB15)) | (~v161(constB15))),
% 7.71/5.70 inference(unit_resolution,[status(thm)],[14411, 14410])).
% 7.71/5.70 tff(14413,plain,
% 7.71/5.70 ((~(v201(constB15) <=> (~((~v159(constB15)) | (~v161(constB15)))))) | (~v201(constB15)) | (~((~v159(constB15)) | (~v161(constB15))))),
% 7.71/5.71 inference(tautology,[status(thm)],[])).
% 7.71/5.71 tff(14414,plain,
% 7.71/5.71 (~v201(constB15)),
% 7.71/5.71 inference(unit_resolution,[status(thm)],[14413, 14412, 14341])).
% 7.71/5.71 tff(14415,plain,
% 7.71/5.71 (((~v197(constB15)) | (~v201(constB15))) | v201(constB15)),
% 7.71/5.71 inference(tautology,[status(thm)],[])).
% 7.71/5.71 tff(14416,plain,
% 7.71/5.71 ((~v197(constB15)) | (~v201(constB15))),
% 7.71/5.71 inference(unit_resolution,[status(thm)],[14415, 14414])).
% 7.71/5.71 tff(14417,plain,
% 7.71/5.71 ((~(v200(constB15) <=> (~((~v197(constB15)) | (~v201(constB15)))))) | (~v200(constB15)) | (~((~v197(constB15)) | (~v201(constB15))))),
% 7.71/5.71 inference(tautology,[status(thm)],[])).
% 7.71/5.71 tff(14418,plain,
% 7.71/5.71 (~v200(constB15)),
% 7.71/5.71 inference(unit_resolution,[status(thm)],[14417, 14416, 14339])).
% 7.71/5.71 tff(14419,plain,
% 7.71/5.71 (((~v199(constB15)) | (~v200(constB15))) | v200(constB15)),
% 7.71/5.71 inference(tautology,[status(thm)],[])).
% 7.71/5.71 tff(14420,plain,
% 7.71/5.71 ((~v199(constB15)) | (~v200(constB15))),
% 7.71/5.71 inference(unit_resolution,[status(thm)],[14419, 14418])).
% 7.71/5.71 tff(14421,plain,
% 7.71/5.71 ((~(v198(constB15) <=> (~((~v199(constB15)) | (~v200(constB15)))))) | (~v198(constB15)) | (~((~v199(constB15)) | (~v200(constB15))))),
% 7.71/5.71 inference(tautology,[status(thm)],[])).
% 7.71/5.71 tff(14422,plain,
% 7.71/5.71 (~v198(constB15)),
% 7.71/5.71 inference(unit_resolution,[status(thm)],[14421, 14420, 14337])).
% 7.71/5.71 tff(14423,plain,
% 7.71/5.71 ((~(v194(constB15) | v198(constB15))) | v194(constB15) | v198(constB15)),
% 7.71/5.71 inference(tautology,[status(thm)],[])).
% 7.71/5.71 tff(14424,plain,
% 7.71/5.71 (~(v194(constB15) | v198(constB15))),
% 7.71/5.71 inference(unit_resolution,[status(thm)],[14423, 14422, 14335])).
% 7.71/5.71 tff(14425,plain,
% 7.71/5.71 ((~(v191(constB15) <=> (v194(constB15) | v198(constB15)))) | (~v191(constB15)) | (v194(constB15) | v198(constB15))),
% 7.71/5.71 inference(tautology,[status(thm)],[])).
% 7.71/5.71 tff(14426,plain,
% 7.71/5.71 (~v191(constB15)),
% 7.71/5.71 inference(unit_resolution,[status(thm)],[14425, 14424, 14262])).
% 7.71/5.71 tff(14427,plain,
% 7.71/5.71 ((~(v193(constB16) <=> v191(constB15))) | (~v193(constB16)) | v191(constB15)),
% 7.71/5.71 inference(tautology,[status(thm)],[])).
% 7.71/5.71 tff(14428,plain,
% 7.71/5.71 (~v193(constB16)),
% 7.71/5.71 inference(unit_resolution,[status(thm)],[14427, 14426, 14260])).
% 7.71/5.71 tff(14429,plain,
% 7.71/5.71 ((~(v157(constB16) <=> v193(constB16))) | (~v157(constB16)) | v193(constB16)),
% 7.71/5.71 inference(tautology,[status(thm)],[])).
% 7.71/5.71 tff(14430,plain,
% 7.71/5.71 (~v157(constB16)),
% 7.71/5.71 inference(unit_resolution,[status(thm)],[14429, 14428, 14256])).
% 7.71/5.71 tff(14431,plain,
% 7.71/5.71 (((~v157(constB16)) | (~v195(constB16))) | v157(constB16)),
% 7.71/5.71 inference(tautology,[status(thm)],[])).
% 7.71/5.71 tff(14432,plain,
% 7.71/5.71 ((~v157(constB16)) | (~v195(constB16))),
% 7.71/5.71 inference(unit_resolution,[status(thm)],[14431, 14430])).
% 7.71/5.71 tff(14433,plain,
% 7.71/5.71 ((~(v194(constB16) <=> (~((~v157(constB16)) | (~v195(constB16)))))) | (~v194(constB16)) | (~((~v157(constB16)) | (~v195(constB16))))),
% 7.71/5.71 inference(tautology,[status(thm)],[])).
% 7.71/5.71 tff(14434,plain,
% 7.71/5.71 (~v194(constB16)),
% 7.71/5.71 inference(unit_resolution,[status(thm)],[14433, 14432, 14254])).
% 7.71/5.71 tff(14435,plain,
% 7.71/5.71 ((~(v194(constB16) | v198(constB16))) | v194(constB16) | v198(constB16)),
% 7.71/5.71 inference(tautology,[status(thm)],[])).
% 7.71/5.71 tff(14436,plain,
% 7.71/5.71 (~(v194(constB16) | v198(constB16))),
% 7.71/5.71 inference(unit_resolution,[status(thm)],[14435, 14434, 14247])).
% 7.71/5.71 tff(14437,plain,
% 7.71/5.71 ((~(v191(constB16) <=> (v194(constB16) | v198(constB16)))) | (~v191(constB16)) | (v194(constB16) | v198(constB16))),
% 7.71/5.71 inference(tautology,[status(thm)],[])).
% 7.71/5.71 tff(14438,plain,
% 7.71/5.71 (~v191(constB16)),
% 7.71/5.71 inference(unit_resolution,[status(thm)],[14437, 14436, 14222])).
% 7.71/5.71 tff(14439,plain,
% 7.71/5.71 ((~(v193(constB17) <=> v191(constB16))) | (~v193(constB17)) | v191(constB16)),
% 7.71/5.71 inference(tautology,[status(thm)],[])).
% 7.71/5.71 tff(14440,plain,
% 7.71/5.71 (~v193(constB17)),
% 7.71/5.71 inference(unit_resolution,[status(thm)],[14439, 14438, 14220])).
% 7.71/5.71 tff(14441,plain,
% 7.71/5.71 ($false),
% 7.71/5.71 inference(unit_resolution,[status(thm)],[14440, 14216])).
% 7.71/5.71 tff(14442,plain,(~(constB17 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.71/5.71 tff(14443,assumption,(constB97 = VarCurr!0), introduced(assumption)).
% 7.71/5.71 tff(14444,plain,
% 7.71/5.71 (v193(constB97) <=> v193(VarCurr!0)),
% 7.79/5.71 inference(monotonicity,[status(thm)],[14443])).
% 7.79/5.71 tff(14445,plain,
% 7.79/5.71 (v193(VarCurr!0) <=> v193(constB97)),
% 7.79/5.71 inference(symmetry,[status(thm)],[14444])).
% 7.79/5.71 tff(14446,plain,
% 7.79/5.71 (v193(constB97)),
% 7.79/5.71 inference(modus_ponens,[status(thm)],[59, 14445])).
% 7.79/5.71 tff(14447,plain,
% 7.79/5.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB96, constB97)) | (v193(constB97) <=> v191(constB96)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB96, constB97)) | (v193(constB97) <=> v191(constB96)))),
% 7.79/5.71 inference(rewrite,[status(thm)],[])).
% 7.79/5.71 tff(14448,plain,
% 7.79/5.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB96, constB97)) | (v193(constB97) <=> v191(constB96)))),
% 7.79/5.71 inference(quant_inst,[status(thm)],[])).
% 7.79/5.71 tff(14449,plain,
% 7.79/5.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB96, constB97)) | (v193(constB97) <=> v191(constB96))),
% 7.79/5.71 inference(modus_ponens,[status(thm)],[14448, 14447])).
% 7.79/5.71 tff(14450,plain,
% 7.79/5.71 (v193(constB97) <=> v191(constB96)),
% 7.79/5.71 inference(unit_resolution,[status(thm)],[14449, 10937, 70])).
% 7.79/5.71 tff(14451,plain,
% 7.79/5.71 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB96) <=> (v194(constB96) | v198(constB96)))),
% 7.79/5.71 inference(quant_inst,[status(thm)],[])).
% 7.79/5.71 tff(14452,plain,
% 7.79/5.71 (v191(constB96) <=> (v194(constB96) | v198(constB96))),
% 7.79/5.71 inference(unit_resolution,[status(thm)],[14451, 84])).
% 7.79/5.71 tff(14453,plain,
% 7.79/5.71 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB96) <=> (~((~v199(constB96)) | (~v200(constB96)))))),
% 7.79/5.71 inference(quant_inst,[status(thm)],[])).
% 7.79/5.71 tff(14454,plain,
% 7.79/5.71 (v198(constB96) <=> (~((~v199(constB96)) | (~v200(constB96))))),
% 7.79/5.71 inference(unit_resolution,[status(thm)],[14453, 96])).
% 7.79/5.71 tff(14455,plain,
% 7.79/5.71 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB96) <=> (~((~v197(constB96)) | (~v201(constB96)))))),
% 7.79/5.71 inference(quant_inst,[status(thm)],[])).
% 7.79/5.71 tff(14456,plain,
% 7.79/5.71 (v200(constB96) <=> (~((~v197(constB96)) | (~v201(constB96))))),
% 7.79/5.71 inference(unit_resolution,[status(thm)],[14455, 108])).
% 7.79/5.71 tff(14457,plain,
% 7.79/5.71 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB96) <=> (~((~v39(constB96)) | (~v9(constB96)))))),
% 7.79/5.71 inference(quant_inst,[status(thm)],[])).
% 7.79/5.71 tff(14458,plain,
% 7.79/5.71 (v197(constB96) <=> (~((~v39(constB96)) | (~v9(constB96))))),
% 7.79/5.71 inference(unit_resolution,[status(thm)],[14457, 120])).
% 7.79/5.71 tff(14459,plain,
% 7.79/5.71 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB96)) <=> v1(constB96))),
% 7.79/5.71 inference(quant_inst,[status(thm)],[])).
% 7.79/5.71 tff(14460,plain,
% 7.79/5.71 ((~v39(constB96)) <=> v1(constB96)),
% 7.79/5.71 inference(unit_resolution,[status(thm)],[14459, 129])).
% 7.79/5.71 tff(14461,plain,
% 7.79/5.71 ((~((~v39(constB96)) <=> v1(constB96))) | (~v39(constB96)) | (~v1(constB96))),
% 7.79/5.71 inference(tautology,[status(thm)],[])).
% 7.79/5.71 tff(14462,plain,
% 7.79/5.71 ((~((~v39(constB96)) <=> v1(constB96))) | (~v39(constB96))),
% 7.79/5.71 inference(unit_resolution,[status(thm)],[14461, 12629])).
% 7.79/5.71 tff(14463,plain,
% 7.79/5.71 (~v39(constB96)),
% 7.79/5.71 inference(unit_resolution,[status(thm)],[14462, 14460])).
% 7.79/5.71 tff(14464,plain,
% 7.79/5.71 (((~v39(constB96)) | (~v9(constB96))) | v39(constB96)),
% 7.79/5.71 inference(tautology,[status(thm)],[])).
% 7.79/5.71 tff(14465,plain,
% 7.79/5.71 ((~v39(constB96)) | (~v9(constB96))),
% 7.79/5.71 inference(unit_resolution,[status(thm)],[14464, 14463])).
% 7.79/5.71 tff(14466,plain,
% 7.79/5.71 ((~(v197(constB96) <=> (~((~v39(constB96)) | (~v9(constB96)))))) | (~v197(constB96)) | (~((~v39(constB96)) | (~v9(constB96))))),
% 7.79/5.71 inference(tautology,[status(thm)],[])).
% 7.79/5.71 tff(14467,plain,
% 7.79/5.71 ((~(v197(constB96) <=> (~((~v39(constB96)) | (~v9(constB96)))))) | (~v197(constB96))),
% 7.79/5.71 inference(unit_resolution,[status(thm)],[14466, 14465])).
% 7.79/5.71 tff(14468,plain,
% 7.79/5.71 (~v197(constB96)),
% 7.79/5.71 inference(unit_resolution,[status(thm)],[14467, 14458])).
% 7.79/5.71 tff(14469,plain,
% 7.79/5.71 (((~v197(constB96)) | (~v201(constB96))) | v197(constB96)),
% 7.79/5.71 inference(tautology,[status(thm)],[])).
% 7.79/5.71 tff(14470,plain,
% 7.79/5.71 ((~v197(constB96)) | (~v201(constB96))),
% 7.79/5.71 inference(unit_resolution,[status(thm)],[14469, 14468])).
% 7.79/5.71 tff(14471,plain,
% 7.79/5.71 ((~(v200(constB96) <=> (~((~v197(constB96)) | (~v201(constB96)))))) | (~v200(constB96)) | (~((~v197(constB96)) | (~v201(constB96))))),
% 7.79/5.71 inference(tautology,[status(thm)],[])).
% 7.79/5.71 tff(14472,plain,
% 7.79/5.71 ((~(v200(constB96) <=> (~((~v197(constB96)) | (~v201(constB96)))))) | (~v200(constB96))),
% 7.79/5.71 inference(unit_resolution,[status(thm)],[14471, 14470])).
% 7.79/5.71 tff(14473,plain,
% 7.79/5.71 (~v200(constB96)),
% 7.79/5.71 inference(unit_resolution,[status(thm)],[14472, 14456])).
% 7.79/5.71 tff(14474,plain,
% 7.79/5.71 (((~v199(constB96)) | (~v200(constB96))) | v200(constB96)),
% 7.79/5.71 inference(tautology,[status(thm)],[])).
% 7.79/5.71 tff(14475,plain,
% 7.79/5.71 ((~v199(constB96)) | (~v200(constB96))),
% 7.79/5.71 inference(unit_resolution,[status(thm)],[14474, 14473])).
% 7.79/5.71 tff(14476,plain,
% 7.79/5.71 ((~(v198(constB96) <=> (~((~v199(constB96)) | (~v200(constB96)))))) | (~v198(constB96)) | (~((~v199(constB96)) | (~v200(constB96))))),
% 7.79/5.71 inference(tautology,[status(thm)],[])).
% 7.79/5.71 tff(14477,plain,
% 7.79/5.71 (~v198(constB96)),
% 7.79/5.71 inference(unit_resolution,[status(thm)],[14476, 14475, 14454])).
% 7.79/5.71 tff(14478,plain,
% 7.79/5.71 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB96) <=> (~((~v157(constB96)) | (~v195(constB96)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB96) <=> (~((~v157(constB96)) | (~v195(constB96))))))),
% 7.79/5.71 inference(rewrite,[status(thm)],[])).
% 7.79/5.71 tff(14479,plain,
% 7.79/5.71 ((v194(constB96) <=> (~((~v195(constB96)) | (~v157(constB96))))) <=> (v194(constB96) <=> (~((~v157(constB96)) | (~v195(constB96)))))),
% 7.79/5.71 inference(rewrite,[status(thm)],[])).
% 7.79/5.71 tff(14480,plain,
% 7.79/5.71 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB96) <=> (~((~v195(constB96)) | (~v157(constB96)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB96) <=> (~((~v157(constB96)) | (~v195(constB96))))))),
% 7.79/5.71 inference(monotonicity,[status(thm)],[14479])).
% 7.79/5.71 tff(14481,plain,
% 7.79/5.71 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB96) <=> (~((~v195(constB96)) | (~v157(constB96)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB96) <=> (~((~v157(constB96)) | (~v195(constB96))))))),
% 7.79/5.71 inference(transitivity,[status(thm)],[14480, 14478])).
% 7.79/5.71 tff(14482,plain,
% 7.79/5.71 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB96) <=> (~((~v195(constB96)) | (~v157(constB96)))))),
% 7.79/5.71 inference(quant_inst,[status(thm)],[])).
% 7.79/5.71 tff(14483,plain,
% 7.79/5.71 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB96) <=> (~((~v157(constB96)) | (~v195(constB96)))))),
% 7.79/5.71 inference(modus_ponens,[status(thm)],[14482, 14481])).
% 7.79/5.71 tff(14484,plain,
% 7.79/5.71 (v194(constB96) <=> (~((~v157(constB96)) | (~v195(constB96))))),
% 7.79/5.71 inference(unit_resolution,[status(thm)],[14483, 161])).
% 7.79/5.71 tff(14485,plain,
% 7.79/5.71 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB96) <=> v193(constB96))),
% 7.79/5.71 inference(quant_inst,[status(thm)],[])).
% 7.79/5.71 tff(14486,plain,
% 7.79/5.71 (v157(constB96) <=> v193(constB96)),
% 7.79/5.71 inference(unit_resolution,[status(thm)],[14485, 13])).
% 7.79/5.71 tff(14487,plain,
% 7.79/5.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB95, constB96)) | (v193(constB96) <=> v191(constB95)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB95, constB96)) | (v193(constB96) <=> v191(constB95)))),
% 7.79/5.71 inference(rewrite,[status(thm)],[])).
% 7.79/5.71 tff(14488,plain,
% 7.79/5.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB95, constB96)) | (v193(constB96) <=> v191(constB95)))),
% 7.79/5.71 inference(quant_inst,[status(thm)],[])).
% 7.79/5.71 tff(14489,plain,
% 7.79/5.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB95, constB96)) | (v193(constB96) <=> v191(constB95))),
% 7.79/5.71 inference(modus_ponens,[status(thm)],[14488, 14487])).
% 7.79/5.71 tff(14490,plain,
% 7.79/5.71 (v193(constB96) <=> v191(constB95)),
% 7.79/5.71 inference(unit_resolution,[status(thm)],[14489, 10973, 70])).
% 7.79/5.71 tff(14491,plain,
% 7.79/5.71 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB95) <=> (v194(constB95) | v198(constB95)))),
% 7.79/5.71 inference(quant_inst,[status(thm)],[])).
% 7.79/5.71 tff(14492,plain,
% 7.79/5.71 (v191(constB95) <=> (v194(constB95) | v198(constB95))),
% 7.79/5.71 inference(unit_resolution,[status(thm)],[14491, 84])).
% 7.79/5.71 tff(14493,plain,
% 7.79/5.71 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB95) <=> (~((~v157(constB95)) | (~v195(constB95)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB95) <=> (~((~v157(constB95)) | (~v195(constB95))))))),
% 7.79/5.71 inference(rewrite,[status(thm)],[])).
% 7.79/5.71 tff(14494,plain,
% 7.79/5.71 ((v194(constB95) <=> (~((~v195(constB95)) | (~v157(constB95))))) <=> (v194(constB95) <=> (~((~v157(constB95)) | (~v195(constB95)))))),
% 7.79/5.71 inference(rewrite,[status(thm)],[])).
% 7.79/5.71 tff(14495,plain,
% 7.79/5.71 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB95) <=> (~((~v195(constB95)) | (~v157(constB95)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB95) <=> (~((~v157(constB95)) | (~v195(constB95))))))),
% 7.79/5.71 inference(monotonicity,[status(thm)],[14494])).
% 7.79/5.71 tff(14496,plain,
% 7.79/5.71 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB95) <=> (~((~v195(constB95)) | (~v157(constB95)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB95) <=> (~((~v157(constB95)) | (~v195(constB95))))))),
% 7.79/5.71 inference(transitivity,[status(thm)],[14495, 14493])).
% 7.79/5.71 tff(14497,plain,
% 7.79/5.71 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB95) <=> (~((~v195(constB95)) | (~v157(constB95)))))),
% 7.79/5.71 inference(quant_inst,[status(thm)],[])).
% 7.79/5.71 tff(14498,plain,
% 7.79/5.71 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB95) <=> (~((~v157(constB95)) | (~v195(constB95)))))),
% 7.79/5.71 inference(modus_ponens,[status(thm)],[14497, 14496])).
% 7.79/5.71 tff(14499,plain,
% 7.79/5.71 (v194(constB95) <=> (~((~v157(constB95)) | (~v195(constB95))))),
% 7.79/5.71 inference(unit_resolution,[status(thm)],[14498, 161])).
% 7.79/5.71 tff(14500,plain,
% 7.79/5.71 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB95)) <=> v196(constB95))),
% 7.79/5.71 inference(quant_inst,[status(thm)],[])).
% 7.79/5.71 tff(14501,plain,
% 7.79/5.71 ((~v195(constB95)) <=> v196(constB95)),
% 7.79/5.71 inference(unit_resolution,[status(thm)],[14500, 193])).
% 7.79/5.71 tff(14502,plain,
% 7.79/5.71 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB95) <=> (v197(constB95) | v26(constB95)))),
% 7.79/5.71 inference(quant_inst,[status(thm)],[])).
% 7.79/5.71 tff(14503,plain,
% 7.79/5.71 (v196(constB95) <=> (v197(constB95) | v26(constB95))),
% 7.79/5.71 inference(unit_resolution,[status(thm)],[14502, 202])).
% 7.79/5.71 tff(14504,plain,
% 7.79/5.71 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB95) <=> (~((~v39(constB95)) | (~v9(constB95)))))),
% 7.79/5.71 inference(quant_inst,[status(thm)],[])).
% 7.79/5.71 tff(14505,plain,
% 7.79/5.71 (v197(constB95) <=> (~((~v39(constB95)) | (~v9(constB95))))),
% 7.79/5.71 inference(unit_resolution,[status(thm)],[14504, 120])).
% 7.79/5.71 tff(14506,plain,
% 7.79/5.71 (((~![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)))),
% 7.79/5.71 inference(rewrite,[status(thm)],[])).
% 7.79/5.71 tff(14507,plain,
% 7.79/5.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB95, constB96)) | (v13(constB96) <=> v9(constB95)))),
% 7.79/5.71 inference(quant_inst,[status(thm)],[])).
% 7.79/5.71 tff(14508,plain,
% 7.79/5.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB95, constB96)) | (v13(constB96) <=> v9(constB95))),
% 7.79/5.71 inference(modus_ponens,[status(thm)],[14507, 14506])).
% 7.79/5.71 tff(14509,plain,
% 7.79/5.71 (v13(constB96) <=> v9(constB95)),
% 7.79/5.71 inference(unit_resolution,[status(thm)],[14508, 10973, 216])).
% 7.79/5.71 tff(14510,plain,
% 7.79/5.71 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB96) <=> v13(constB96))),
% 7.79/5.71 inference(quant_inst,[status(thm)],[])).
% 7.79/5.71 tff(14511,plain,
% 7.79/5.71 (v6(constB96) <=> v13(constB96)),
% 7.79/5.71 inference(unit_resolution,[status(thm)],[14510, 230])).
% 7.79/5.71 tff(14512,plain,
% 7.79/5.71 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB96)) <=> v6(constB96))),
% 7.79/5.71 inference(quant_inst,[status(thm)],[])).
% 7.79/5.71 tff(14513,plain,
% 7.79/5.71 ((~v21(constB96)) <=> v6(constB96)),
% 7.79/5.71 inference(unit_resolution,[status(thm)],[14512, 239])).
% 7.79/5.71 tff(14514,plain,
% 7.79/5.71 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB96) <=> (v20(constB96) | v21(constB96)))),
% 7.79/5.71 inference(quant_inst,[status(thm)],[])).
% 7.79/5.71 tff(14515,plain,
% 7.79/5.71 (v19(constB96) <=> (v20(constB96) | v21(constB96))),
% 7.79/5.71 inference(unit_resolution,[status(thm)],[14514, 248])).
% 7.79/5.71 tff(14516,plain,
% 7.79/5.71 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB96) <=> (~((~v19(constB96)) | (~v22(constB96)))))),
% 7.79/5.71 inference(quant_inst,[status(thm)],[])).
% 7.79/5.71 tff(14517,plain,
% 7.79/5.71 (v18(constB96) <=> (~((~v19(constB96)) | (~v22(constB96))))),
% 7.79/5.71 inference(unit_resolution,[status(thm)],[14516, 260])).
% 7.79/5.71 tff(14518,plain,
% 7.79/5.71 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB96)) <=> v18(constB96))),
% 7.79/5.71 inference(quant_inst,[status(thm)],[])).
% 7.79/5.71 tff(14519,plain,
% 7.79/5.71 ((~v4(constB96)) <=> v18(constB96)),
% 7.79/5.71 inference(unit_resolution,[status(thm)],[14518, 269])).
% 7.79/5.71 tff(14520,plain,
% 7.79/5.71 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB96)),
% 7.79/5.71 inference(quant_inst,[status(thm)],[])).
% 7.79/5.71 tff(14521,plain,
% 7.79/5.71 (v4(constB96)),
% 7.79/5.71 inference(unit_resolution,[status(thm)],[14520, 278])).
% 7.79/5.71 tff(14522,plain,
% 7.79/5.71 ((~((~v4(constB96)) <=> v18(constB96))) | (~v4(constB96)) | (~v18(constB96))),
% 7.79/5.71 inference(tautology,[status(thm)],[])).
% 7.79/5.71 tff(14523,plain,
% 7.79/5.71 (~v18(constB96)),
% 7.79/5.71 inference(unit_resolution,[status(thm)],[14522, 14521, 14519])).
% 7.79/5.71 tff(14524,plain,
% 7.79/5.71 ((~(v18(constB96) <=> (~((~v19(constB96)) | (~v22(constB96)))))) | v18(constB96) | ((~v19(constB96)) | (~v22(constB96)))),
% 7.79/5.71 inference(tautology,[status(thm)],[])).
% 7.79/5.71 tff(14525,plain,
% 7.79/5.71 ((~v19(constB96)) | (~v22(constB96))),
% 7.79/5.71 inference(unit_resolution,[status(thm)],[14524, 14523, 14517])).
% 7.79/5.71 tff(14526,plain,
% 7.79/5.71 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB96) <=> (v1(constB96) | v6(constB96)))),
% 7.79/5.71 inference(quant_inst,[status(thm)],[])).
% 7.79/5.71 tff(14527,plain,
% 7.79/5.71 (v22(constB96) <=> (v1(constB96) | v6(constB96))),
% 7.79/5.71 inference(unit_resolution,[status(thm)],[14526, 291])).
% 7.79/5.71 tff(14528,plain,
% 7.79/5.71 ((v1(constB96) | v6(constB96)) | (~v1(constB96))),
% 7.79/5.71 inference(tautology,[status(thm)],[])).
% 7.79/5.71 tff(14529,plain,
% 7.79/5.71 (v1(constB96) | v6(constB96)),
% 7.79/5.71 inference(unit_resolution,[status(thm)],[14528, 12629])).
% 7.79/5.71 tff(14530,plain,
% 7.79/5.71 ((~(v22(constB96) <=> (v1(constB96) | v6(constB96)))) | v22(constB96) | (~(v1(constB96) | v6(constB96)))),
% 7.79/5.71 inference(tautology,[status(thm)],[])).
% 7.79/5.71 tff(14531,plain,
% 7.79/5.71 ((~(v22(constB96) <=> (v1(constB96) | v6(constB96)))) | v22(constB96)),
% 7.79/5.71 inference(unit_resolution,[status(thm)],[14530, 14529])).
% 7.79/5.71 tff(14532,plain,
% 7.79/5.71 (v22(constB96)),
% 7.79/5.71 inference(unit_resolution,[status(thm)],[14531, 14527])).
% 7.79/5.71 tff(14533,plain,
% 7.79/5.71 ((~((~v19(constB96)) | (~v22(constB96)))) | (~v19(constB96)) | (~v22(constB96))),
% 7.79/5.71 inference(tautology,[status(thm)],[])).
% 7.79/5.71 tff(14534,plain,
% 7.79/5.71 ((~((~v19(constB96)) | (~v22(constB96)))) | (~v19(constB96))),
% 7.79/5.71 inference(unit_resolution,[status(thm)],[14533, 14532])).
% 7.79/5.71 tff(14535,plain,
% 7.79/5.71 (~v19(constB96)),
% 7.79/5.71 inference(unit_resolution,[status(thm)],[14534, 14525])).
% 7.79/5.71 tff(14536,plain,
% 7.79/5.71 ((~(v19(constB96) <=> (v20(constB96) | v21(constB96)))) | v19(constB96) | (~(v20(constB96) | v21(constB96)))),
% 7.79/5.71 inference(tautology,[status(thm)],[])).
% 7.79/5.71 tff(14537,plain,
% 7.79/5.71 (~(v20(constB96) | v21(constB96))),
% 7.79/5.71 inference(unit_resolution,[status(thm)],[14536, 14535, 14515])).
% 7.79/5.71 tff(14538,plain,
% 7.79/5.71 ((v20(constB96) | v21(constB96)) | (~v21(constB96))),
% 7.79/5.71 inference(tautology,[status(thm)],[])).
% 7.79/5.71 tff(14539,plain,
% 7.79/5.71 (~v21(constB96)),
% 7.79/5.71 inference(unit_resolution,[status(thm)],[14538, 14537])).
% 7.79/5.71 tff(14540,plain,
% 7.79/5.71 ((~((~v21(constB96)) <=> v6(constB96))) | v21(constB96) | v6(constB96)),
% 7.79/5.71 inference(tautology,[status(thm)],[])).
% 7.79/5.71 tff(14541,plain,
% 7.79/5.71 (v6(constB96)),
% 7.79/5.71 inference(unit_resolution,[status(thm)],[14540, 14539, 14513])).
% 7.79/5.71 tff(14542,plain,
% 7.79/5.71 ((~(v6(constB96) <=> v13(constB96))) | (~v6(constB96)) | v13(constB96)),
% 7.79/5.71 inference(tautology,[status(thm)],[])).
% 7.79/5.71 tff(14543,plain,
% 7.79/5.71 (v13(constB96)),
% 7.79/5.71 inference(unit_resolution,[status(thm)],[14542, 14541, 14511])).
% 7.79/5.71 tff(14544,plain,
% 7.79/5.71 ((~(v13(constB96) <=> v9(constB95))) | (~v13(constB96)) | v9(constB95)),
% 7.79/5.71 inference(tautology,[status(thm)],[])).
% 7.79/5.71 tff(14545,plain,
% 7.79/5.71 (v9(constB95)),
% 7.79/5.71 inference(unit_resolution,[status(thm)],[14544, 14543, 14509])).
% 7.79/5.71 tff(14546,plain,
% 7.79/5.71 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB95)) <=> v1(constB95))),
% 7.79/5.71 inference(quant_inst,[status(thm)],[])).
% 7.79/5.71 tff(14547,plain,
% 7.79/5.71 ((~v39(constB95)) <=> v1(constB95)),
% 7.79/5.71 inference(unit_resolution,[status(thm)],[14546, 129])).
% 7.79/5.71 tff(14548,plain,
% 7.79/5.71 ((~((~v39(constB95)) <=> v1(constB95))) | v39(constB95) | v1(constB95)),
% 7.79/5.71 inference(tautology,[status(thm)],[])).
% 7.79/5.71 tff(14549,plain,
% 7.79/5.71 ((~((~v39(constB95)) <=> v1(constB95))) | v39(constB95)),
% 7.79/5.71 inference(unit_resolution,[status(thm)],[14548, 11012])).
% 7.79/5.71 tff(14550,plain,
% 7.79/5.71 (v39(constB95)),
% 7.79/5.71 inference(unit_resolution,[status(thm)],[14549, 14547])).
% 7.79/5.71 tff(14551,plain,
% 7.79/5.71 ((~((~v39(constB95)) | (~v9(constB95)))) | (~v39(constB95)) | (~v9(constB95))),
% 7.79/5.71 inference(tautology,[status(thm)],[])).
% 7.79/5.71 tff(14552,plain,
% 7.79/5.71 ((~((~v39(constB95)) | (~v9(constB95)))) | (~v9(constB95))),
% 7.79/5.71 inference(unit_resolution,[status(thm)],[14551, 14550])).
% 7.79/5.71 tff(14553,plain,
% 7.79/5.71 (~((~v39(constB95)) | (~v9(constB95)))),
% 7.79/5.71 inference(unit_resolution,[status(thm)],[14552, 14545])).
% 7.79/5.71 tff(14554,plain,
% 7.79/5.71 ((~(v197(constB95) <=> (~((~v39(constB95)) | (~v9(constB95)))))) | v197(constB95) | ((~v39(constB95)) | (~v9(constB95)))),
% 7.79/5.71 inference(tautology,[status(thm)],[])).
% 7.79/5.71 tff(14555,plain,
% 7.79/5.71 (v197(constB95)),
% 7.79/5.71 inference(unit_resolution,[status(thm)],[14554, 14553, 14505])).
% 7.79/5.71 tff(14556,plain,
% 7.79/5.71 ((v197(constB95) | v26(constB95)) | (~v197(constB95))),
% 7.79/5.71 inference(tautology,[status(thm)],[])).
% 7.79/5.71 tff(14557,plain,
% 7.79/5.71 (v197(constB95) | v26(constB95)),
% 7.79/5.71 inference(unit_resolution,[status(thm)],[14556, 14555])).
% 7.79/5.71 tff(14558,plain,
% 7.79/5.71 ((~(v196(constB95) <=> (v197(constB95) | v26(constB95)))) | v196(constB95) | (~(v197(constB95) | v26(constB95)))),
% 7.79/5.71 inference(tautology,[status(thm)],[])).
% 7.79/5.71 tff(14559,plain,
% 7.79/5.71 (v196(constB95)),
% 7.79/5.71 inference(unit_resolution,[status(thm)],[14558, 14557, 14503])).
% 7.79/5.71 tff(14560,plain,
% 7.79/5.71 ((~((~v195(constB95)) <=> v196(constB95))) | (~v195(constB95)) | (~v196(constB95))),
% 7.79/5.71 inference(tautology,[status(thm)],[])).
% 7.79/5.71 tff(14561,plain,
% 7.79/5.71 (~v195(constB95)),
% 7.79/5.71 inference(unit_resolution,[status(thm)],[14560, 14559, 14501])).
% 7.79/5.71 tff(14562,plain,
% 7.79/5.71 (((~v157(constB95)) | (~v195(constB95))) | v195(constB95)),
% 7.79/5.71 inference(tautology,[status(thm)],[])).
% 7.79/5.71 tff(14563,plain,
% 7.79/5.71 ((~v157(constB95)) | (~v195(constB95))),
% 7.79/5.71 inference(unit_resolution,[status(thm)],[14562, 14561])).
% 7.79/5.71 tff(14564,plain,
% 7.79/5.71 ((~(v194(constB95) <=> (~((~v157(constB95)) | (~v195(constB95)))))) | (~v194(constB95)) | (~((~v157(constB95)) | (~v195(constB95))))),
% 7.79/5.71 inference(tautology,[status(thm)],[])).
% 7.79/5.71 tff(14565,plain,
% 7.79/5.71 (~v194(constB95)),
% 7.79/5.71 inference(unit_resolution,[status(thm)],[14564, 14563, 14499])).
% 7.79/5.71 tff(14566,plain,
% 7.79/5.71 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB95) <=> (~((~v199(constB95)) | (~v200(constB95)))))),
% 7.79/5.71 inference(quant_inst,[status(thm)],[])).
% 7.79/5.71 tff(14567,plain,
% 7.79/5.71 (v198(constB95) <=> (~((~v199(constB95)) | (~v200(constB95))))),
% 7.79/5.71 inference(unit_resolution,[status(thm)],[14566, 96])).
% 7.79/5.71 tff(14568,plain,
% 7.79/5.71 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB95) <=> (~((~v197(constB95)) | (~v201(constB95)))))),
% 7.79/5.71 inference(quant_inst,[status(thm)],[])).
% 7.79/5.71 tff(14569,plain,
% 7.79/5.71 (v200(constB95) <=> (~((~v197(constB95)) | (~v201(constB95))))),
% 7.79/5.71 inference(unit_resolution,[status(thm)],[14568, 108])).
% 7.79/5.71 tff(14570,plain,
% 7.79/5.71 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB95) <=> (~((~v159(constB95)) | (~v161(constB95)))))),
% 7.79/5.71 inference(quant_inst,[status(thm)],[])).
% 7.79/5.71 tff(14571,plain,
% 7.79/5.71 (v201(constB95) <=> (~((~v159(constB95)) | (~v161(constB95))))),
% 7.79/5.71 inference(unit_resolution,[status(thm)],[14570, 348])).
% 7.79/5.71 tff(14572,plain,
% 7.79/5.71 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB95) <=> v163(constB95))),
% 7.79/5.71 inference(quant_inst,[status(thm)],[])).
% 7.79/5.71 tff(14573,plain,
% 7.79/5.71 (v161(constB95) <=> v163(constB95)),
% 7.79/5.71 inference(unit_resolution,[status(thm)],[14572, 357])).
% 7.79/5.71 tff(14574,plain,
% 7.79/5.71 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB95) <=> (v145(constB95) | v167(constB95)))),
% 7.79/5.71 inference(quant_inst,[status(thm)],[])).
% 7.79/5.71 tff(14575,plain,
% 7.79/5.71 (v166(constB95) <=> (v145(constB95) | v167(constB95))),
% 7.79/5.71 inference(unit_resolution,[status(thm)],[14574, 369])).
% 7.79/5.71 tff(14576,plain,
% 7.79/5.71 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB95) <=> (v142(constB95) | v168(constB95)))),
% 7.79/5.71 inference(quant_inst,[status(thm)],[])).
% 7.79/5.71 tff(14577,plain,
% 7.79/5.71 (v167(constB95) <=> (v142(constB95) | v168(constB95))),
% 7.79/5.71 inference(unit_resolution,[status(thm)],[14576, 381])).
% 7.79/5.71 tff(14578,plain,
% 7.79/5.71 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB95) <=> (v143(constB95) | v144(constB95)))),
% 7.79/5.71 inference(quant_inst,[status(thm)],[])).
% 7.79/5.71 tff(14579,plain,
% 7.79/5.71 (v142(constB95) <=> (v143(constB95) | v144(constB95))),
% 7.79/5.71 inference(unit_resolution,[status(thm)],[14578, 10332])).
% 7.79/5.71 tff(14580,plain,
% 7.79/5.71 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB95) <=> (~((~v88(constB95, bitIndex1)) | (~v88(constB95, bitIndex2)) | v88(constB95, bitIndex0))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB95) <=> (~((~v88(constB95, bitIndex1)) | (~v88(constB95, bitIndex2)) | v88(constB95, bitIndex0)))))),
% 7.79/5.71 inference(rewrite,[status(thm)],[])).
% 7.79/5.71 tff(14581,plain,
% 7.79/5.71 ((v144(constB95) <=> (~(v88(constB95, bitIndex0) | (~v88(constB95, bitIndex1)) | (~v88(constB95, bitIndex2))))) <=> (v144(constB95) <=> (~((~v88(constB95, bitIndex1)) | (~v88(constB95, bitIndex2)) | v88(constB95, bitIndex0))))),
% 7.79/5.71 inference(rewrite,[status(thm)],[])).
% 7.79/5.71 tff(14582,plain,
% 7.79/5.71 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB95) <=> (~(v88(constB95, bitIndex0) | (~v88(constB95, bitIndex1)) | (~v88(constB95, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB95) <=> (~((~v88(constB95, bitIndex1)) | (~v88(constB95, bitIndex2)) | v88(constB95, bitIndex0)))))),
% 7.79/5.71 inference(monotonicity,[status(thm)],[14581])).
% 7.79/5.71 tff(14583,plain,
% 7.79/5.71 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB95) <=> (~(v88(constB95, bitIndex0) | (~v88(constB95, bitIndex1)) | (~v88(constB95, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB95) <=> (~((~v88(constB95, bitIndex1)) | (~v88(constB95, bitIndex2)) | v88(constB95, bitIndex0)))))),
% 7.79/5.71 inference(transitivity,[status(thm)],[14582, 14580])).
% 7.79/5.71 tff(14584,plain,
% 7.79/5.71 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB95) <=> (~(v88(constB95, bitIndex0) | (~v88(constB95, bitIndex1)) | (~v88(constB95, bitIndex2)))))),
% 7.79/5.71 inference(quant_inst,[status(thm)],[])).
% 7.79/5.71 tff(14585,plain,
% 7.79/5.71 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB95) <=> (~((~v88(constB95, bitIndex1)) | (~v88(constB95, bitIndex2)) | v88(constB95, bitIndex0))))),
% 7.79/5.71 inference(modus_ponens,[status(thm)],[14584, 14583])).
% 7.79/5.71 tff(14586,plain,
% 7.79/5.71 (v144(constB95) <=> (~((~v88(constB95, bitIndex1)) | (~v88(constB95, bitIndex2)) | v88(constB95, bitIndex0)))),
% 7.79/5.71 inference(unit_resolution,[status(thm)],[14585, 10347])).
% 7.79/5.71 tff(14587,plain,
% 7.79/5.71 ((~![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))) | (~(((~v88(constB95, bitIndex1)) <=> v90(constB95, bitIndex1)) | ((~v88(constB95, bitIndex2)) <=> v90(constB95, bitIndex2)) | ((~v88(constB95, bitIndex0)) <=> v90(constB95, bitIndex0))))),
% 7.79/5.71 inference(quant_inst,[status(thm)],[])).
% 7.79/5.71 tff(14588,plain,
% 7.79/5.71 (~(((~v88(constB95, bitIndex1)) <=> v90(constB95, bitIndex1)) | ((~v88(constB95, bitIndex2)) <=> v90(constB95, bitIndex2)) | ((~v88(constB95, bitIndex0)) <=> v90(constB95, bitIndex0)))),
% 7.79/5.71 inference(unit_resolution,[status(thm)],[14587, 428])).
% 7.79/5.71 tff(14589,plain,
% 7.79/5.71 ((((~v88(constB95, bitIndex1)) <=> v90(constB95, bitIndex1)) | ((~v88(constB95, bitIndex2)) <=> v90(constB95, bitIndex2)) | ((~v88(constB95, bitIndex0)) <=> v90(constB95, bitIndex0))) | (~((~v88(constB95, bitIndex2)) <=> v90(constB95, bitIndex2)))),
% 7.79/5.71 inference(tautology,[status(thm)],[])).
% 7.79/5.71 tff(14590,plain,
% 7.79/5.71 (~((~v88(constB95, bitIndex2)) <=> v90(constB95, bitIndex2))),
% 7.79/5.71 inference(unit_resolution,[status(thm)],[14589, 14588])).
% 7.79/5.71 tff(14591,plain,
% 7.79/5.71 (((~v88(constB95, bitIndex2)) <=> v90(constB95, bitIndex2)) | v88(constB95, bitIndex2) | (~v90(constB95, bitIndex2))),
% 7.79/5.71 inference(tautology,[status(thm)],[])).
% 7.79/5.71 tff(14592,plain,
% 7.79/5.71 (v88(constB95, bitIndex2)),
% 7.79/5.71 inference(unit_resolution,[status(thm)],[14591, 12575, 14590])).
% 7.79/5.71 tff(14593,plain,
% 7.79/5.71 ((((~v88(constB95, bitIndex1)) <=> v90(constB95, bitIndex1)) | ((~v88(constB95, bitIndex2)) <=> v90(constB95, bitIndex2)) | ((~v88(constB95, bitIndex0)) <=> v90(constB95, bitIndex0))) | (~((~v88(constB95, bitIndex0)) <=> v90(constB95, bitIndex0)))),
% 7.79/5.71 inference(tautology,[status(thm)],[])).
% 7.79/5.71 tff(14594,plain,
% 7.79/5.71 (~((~v88(constB95, bitIndex0)) <=> v90(constB95, bitIndex0))),
% 7.79/5.71 inference(unit_resolution,[status(thm)],[14593, 14588])).
% 7.79/5.71 tff(14595,plain,
% 7.79/5.71 (((~v88(constB95, bitIndex0)) <=> v90(constB95, bitIndex0)) | (~v88(constB95, bitIndex0)) | v90(constB95, bitIndex0)),
% 7.79/5.71 inference(tautology,[status(thm)],[])).
% 7.79/5.71 tff(14596,plain,
% 7.79/5.71 (~v88(constB95, bitIndex0)),
% 7.79/5.71 inference(unit_resolution,[status(thm)],[14595, 12495, 14594])).
% 7.79/5.71 tff(14597,plain,
% 7.79/5.71 ((((~v88(constB95, bitIndex1)) <=> v90(constB95, bitIndex1)) | ((~v88(constB95, bitIndex2)) <=> v90(constB95, bitIndex2)) | ((~v88(constB95, bitIndex0)) <=> v90(constB95, bitIndex0))) | (~((~v88(constB95, bitIndex1)) <=> v90(constB95, bitIndex1)))),
% 7.79/5.71 inference(tautology,[status(thm)],[])).
% 7.79/5.71 tff(14598,plain,
% 7.79/5.71 (~((~v88(constB95, bitIndex1)) <=> v90(constB95, bitIndex1))),
% 7.79/5.71 inference(unit_resolution,[status(thm)],[14597, 14588])).
% 7.79/5.71 tff(14599,plain,
% 7.79/5.71 (((~v88(constB95, bitIndex1)) <=> v90(constB95, bitIndex1)) | v88(constB95, bitIndex1) | (~v90(constB95, bitIndex1))),
% 7.79/5.71 inference(tautology,[status(thm)],[])).
% 7.79/5.71 tff(14600,plain,
% 7.79/5.71 (v88(constB95, bitIndex1)),
% 7.79/5.71 inference(unit_resolution,[status(thm)],[14599, 12535, 14598])).
% 7.79/5.71 tff(14601,plain,
% 7.79/5.71 ((~((~v88(constB95, bitIndex1)) | (~v88(constB95, bitIndex2)) | v88(constB95, bitIndex0))) | (~v88(constB95, bitIndex1)) | (~v88(constB95, bitIndex2)) | v88(constB95, bitIndex0)),
% 7.79/5.71 inference(tautology,[status(thm)],[])).
% 7.79/5.71 tff(14602,plain,
% 7.79/5.71 (~((~v88(constB95, bitIndex1)) | (~v88(constB95, bitIndex2)) | v88(constB95, bitIndex0))),
% 7.79/5.71 inference(unit_resolution,[status(thm)],[14601, 14600, 14596, 14592])).
% 7.79/5.71 tff(14603,plain,
% 7.79/5.71 ((~(v144(constB95) <=> (~((~v88(constB95, bitIndex1)) | (~v88(constB95, bitIndex2)) | v88(constB95, bitIndex0))))) | v144(constB95) | ((~v88(constB95, bitIndex1)) | (~v88(constB95, bitIndex2)) | v88(constB95, bitIndex0))),
% 7.79/5.71 inference(tautology,[status(thm)],[])).
% 7.79/5.71 tff(14604,plain,
% 7.79/5.71 (v144(constB95)),
% 7.79/5.71 inference(unit_resolution,[status(thm)],[14603, 14602, 14586])).
% 7.79/5.71 tff(14605,plain,
% 7.79/5.71 ((v143(constB95) | v144(constB95)) | (~v144(constB95))),
% 7.79/5.71 inference(tautology,[status(thm)],[])).
% 7.79/5.71 tff(14606,plain,
% 7.79/5.71 (v143(constB95) | v144(constB95)),
% 7.79/5.71 inference(unit_resolution,[status(thm)],[14605, 14604])).
% 7.79/5.71 tff(14607,plain,
% 7.79/5.71 ((~(v142(constB95) <=> (v143(constB95) | v144(constB95)))) | v142(constB95) | (~(v143(constB95) | v144(constB95)))),
% 7.79/5.71 inference(tautology,[status(thm)],[])).
% 7.79/5.71 tff(14608,plain,
% 7.79/5.71 (v142(constB95)),
% 7.79/5.71 inference(unit_resolution,[status(thm)],[14607, 14606, 14579])).
% 7.79/5.71 tff(14609,plain,
% 7.79/5.71 ((v142(constB95) | v168(constB95)) | (~v142(constB95))),
% 7.79/5.71 inference(tautology,[status(thm)],[])).
% 7.79/5.71 tff(14610,plain,
% 7.79/5.71 (v142(constB95) | v168(constB95)),
% 7.79/5.71 inference(unit_resolution,[status(thm)],[14609, 14608])).
% 7.79/5.71 tff(14611,plain,
% 7.79/5.71 ((~(v167(constB95) <=> (v142(constB95) | v168(constB95)))) | v167(constB95) | (~(v142(constB95) | v168(constB95)))),
% 7.79/5.71 inference(tautology,[status(thm)],[])).
% 7.79/5.71 tff(14612,plain,
% 7.79/5.71 ((~(v167(constB95) <=> (v142(constB95) | v168(constB95)))) | v167(constB95)),
% 7.79/5.71 inference(unit_resolution,[status(thm)],[14611, 14610])).
% 7.79/5.71 tff(14613,plain,
% 7.79/5.71 (v167(constB95)),
% 7.79/5.71 inference(unit_resolution,[status(thm)],[14612, 14577])).
% 7.79/5.71 tff(14614,plain,
% 7.79/5.71 ((v145(constB95) | v167(constB95)) | (~v167(constB95))),
% 7.79/5.71 inference(tautology,[status(thm)],[])).
% 7.79/5.71 tff(14615,plain,
% 7.79/5.71 (v145(constB95) | v167(constB95)),
% 7.79/5.71 inference(unit_resolution,[status(thm)],[14614, 14613])).
% 7.79/5.71 tff(14616,plain,
% 7.79/5.71 ((~(v166(constB95) <=> (v145(constB95) | v167(constB95)))) | v166(constB95) | (~(v145(constB95) | v167(constB95)))),
% 7.79/5.71 inference(tautology,[status(thm)],[])).
% 7.79/5.71 tff(14617,plain,
% 7.79/5.71 (v166(constB95)),
% 7.79/5.71 inference(unit_resolution,[status(thm)],[14616, 14615, 14575])).
% 7.79/5.71 tff(14618,plain,
% 7.79/5.71 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB95)) | (v163(constB95) <=> v170(constB95)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB95)) | (v163(constB95) <=> v170(constB95)))),
% 7.79/5.71 inference(rewrite,[status(thm)],[])).
% 7.79/5.71 tff(14619,plain,
% 7.79/5.71 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB95)) | (v163(constB95) <=> v170(constB95)))),
% 7.79/5.71 inference(quant_inst,[status(thm)],[])).
% 7.79/5.71 tff(14620,plain,
% 7.79/5.71 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB95)) | (v163(constB95) <=> v170(constB95))),
% 7.79/5.71 inference(modus_ponens,[status(thm)],[14619, 14618])).
% 7.79/5.71 tff(14621,plain,
% 7.79/5.71 ((~v166(constB95)) | (v163(constB95) <=> v170(constB95))),
% 7.79/5.71 inference(unit_resolution,[status(thm)],[14620, 9851])).
% 7.79/5.71 tff(14622,plain,
% 7.79/5.71 (v163(constB95) <=> v170(constB95)),
% 7.79/5.71 inference(unit_resolution,[status(thm)],[14621, 14617])).
% 7.79/5.71 tff(14623,plain,
% 7.79/5.71 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB95) <=> (v142(constB95) | v150(constB95)))),
% 7.79/5.71 inference(quant_inst,[status(thm)],[])).
% 7.79/5.71 tff(14624,plain,
% 7.79/5.71 (v171(constB95) <=> (v142(constB95) | v150(constB95))),
% 7.79/5.71 inference(unit_resolution,[status(thm)],[14623, 9866])).
% 7.79/5.71 tff(14625,plain,
% 7.79/5.71 ((v142(constB95) | v150(constB95)) | (~v142(constB95))),
% 7.79/5.71 inference(tautology,[status(thm)],[])).
% 7.79/5.71 tff(14626,plain,
% 7.79/5.72 (v142(constB95) | v150(constB95)),
% 7.79/5.72 inference(unit_resolution,[status(thm)],[14625, 14608])).
% 7.79/5.72 tff(14627,plain,
% 7.79/5.72 ((~(v171(constB95) <=> (v142(constB95) | v150(constB95)))) | v171(constB95) | (~(v142(constB95) | v150(constB95)))),
% 7.79/5.72 inference(tautology,[status(thm)],[])).
% 7.79/5.72 tff(14628,plain,
% 7.79/5.72 ((~(v171(constB95) <=> (v142(constB95) | v150(constB95)))) | v171(constB95)),
% 7.79/5.72 inference(unit_resolution,[status(thm)],[14627, 14626])).
% 7.79/5.72 tff(14629,plain,
% 7.79/5.72 (v171(constB95)),
% 7.79/5.72 inference(unit_resolution,[status(thm)],[14628, 14624])).
% 7.79/5.72 tff(14630,plain,
% 7.79/5.72 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB95)) | (~v171(constB95)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB95)) | (~v171(constB95)))),
% 7.79/5.72 inference(rewrite,[status(thm)],[])).
% 7.79/5.72 tff(14631,plain,
% 7.79/5.72 (((~v171(constB95)) | (~v170(constB95))) <=> ((~v170(constB95)) | (~v171(constB95)))),
% 7.79/5.72 inference(rewrite,[status(thm)],[])).
% 7.79/5.72 tff(14632,plain,
% 7.79/5.72 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB95)) | (~v170(constB95)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB95)) | (~v171(constB95))))),
% 7.79/5.72 inference(monotonicity,[status(thm)],[14631])).
% 7.79/5.72 tff(14633,plain,
% 7.79/5.72 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB95)) | (~v170(constB95)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB95)) | (~v171(constB95)))),
% 7.79/5.72 inference(transitivity,[status(thm)],[14632, 14630])).
% 7.79/5.72 tff(14634,plain,
% 7.79/5.72 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB95)) | (~v170(constB95)))),
% 7.79/5.72 inference(quant_inst,[status(thm)],[])).
% 7.79/5.72 tff(14635,plain,
% 7.79/5.72 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB95)) | (~v171(constB95))),
% 7.79/5.72 inference(modus_ponens,[status(thm)],[14634, 14633])).
% 7.79/5.72 tff(14636,plain,
% 7.79/5.72 (~v170(constB95)),
% 7.79/5.72 inference(unit_resolution,[status(thm)],[14635, 9899, 14629])).
% 7.79/5.72 tff(14637,plain,
% 7.79/5.72 ((~(v163(constB95) <=> v170(constB95))) | (~v163(constB95)) | v170(constB95)),
% 7.79/5.72 inference(tautology,[status(thm)],[])).
% 7.79/5.72 tff(14638,plain,
% 7.79/5.72 (~v163(constB95)),
% 7.79/5.72 inference(unit_resolution,[status(thm)],[14637, 14636, 14622])).
% 7.79/5.72 tff(14639,plain,
% 7.79/5.72 ((~(v161(constB95) <=> v163(constB95))) | (~v161(constB95)) | v163(constB95)),
% 7.79/5.72 inference(tautology,[status(thm)],[])).
% 7.79/5.72 tff(14640,plain,
% 7.79/5.72 (~v161(constB95)),
% 7.79/5.72 inference(unit_resolution,[status(thm)],[14639, 14638, 14573])).
% 7.79/5.72 tff(14641,plain,
% 7.79/5.72 (((~v159(constB95)) | (~v161(constB95))) | v161(constB95)),
% 7.79/5.72 inference(tautology,[status(thm)],[])).
% 7.79/5.72 tff(14642,plain,
% 7.79/5.72 ((~v159(constB95)) | (~v161(constB95))),
% 7.79/5.72 inference(unit_resolution,[status(thm)],[14641, 14640])).
% 7.79/5.72 tff(14643,plain,
% 7.79/5.72 ((~(v201(constB95) <=> (~((~v159(constB95)) | (~v161(constB95)))))) | (~v201(constB95)) | (~((~v159(constB95)) | (~v161(constB95))))),
% 7.79/5.72 inference(tautology,[status(thm)],[])).
% 7.79/5.72 tff(14644,plain,
% 7.79/5.72 (~v201(constB95)),
% 7.79/5.72 inference(unit_resolution,[status(thm)],[14643, 14642, 14571])).
% 7.79/5.72 tff(14645,plain,
% 7.79/5.72 (((~v197(constB95)) | (~v201(constB95))) | v201(constB95)),
% 7.79/5.72 inference(tautology,[status(thm)],[])).
% 7.79/5.72 tff(14646,plain,
% 7.79/5.72 ((~v197(constB95)) | (~v201(constB95))),
% 7.79/5.72 inference(unit_resolution,[status(thm)],[14645, 14644])).
% 7.79/5.72 tff(14647,plain,
% 7.79/5.72 ((~(v200(constB95) <=> (~((~v197(constB95)) | (~v201(constB95)))))) | (~v200(constB95)) | (~((~v197(constB95)) | (~v201(constB95))))),
% 7.79/5.72 inference(tautology,[status(thm)],[])).
% 7.79/5.72 tff(14648,plain,
% 7.79/5.72 (~v200(constB95)),
% 7.79/5.72 inference(unit_resolution,[status(thm)],[14647, 14646, 14569])).
% 7.79/5.72 tff(14649,plain,
% 7.79/5.72 (((~v199(constB95)) | (~v200(constB95))) | v200(constB95)),
% 7.79/5.72 inference(tautology,[status(thm)],[])).
% 7.79/5.72 tff(14650,plain,
% 7.79/5.72 ((~v199(constB95)) | (~v200(constB95))),
% 7.79/5.72 inference(unit_resolution,[status(thm)],[14649, 14648])).
% 7.79/5.72 tff(14651,plain,
% 7.79/5.72 ((~(v198(constB95) <=> (~((~v199(constB95)) | (~v200(constB95)))))) | (~v198(constB95)) | (~((~v199(constB95)) | (~v200(constB95))))),
% 7.79/5.72 inference(tautology,[status(thm)],[])).
% 7.79/5.72 tff(14652,plain,
% 7.79/5.72 (~v198(constB95)),
% 7.79/5.72 inference(unit_resolution,[status(thm)],[14651, 14650, 14567])).
% 7.79/5.72 tff(14653,plain,
% 7.79/5.72 ((~(v194(constB95) | v198(constB95))) | v194(constB95) | v198(constB95)),
% 7.79/5.72 inference(tautology,[status(thm)],[])).
% 7.79/5.72 tff(14654,plain,
% 7.79/5.72 (~(v194(constB95) | v198(constB95))),
% 7.79/5.72 inference(unit_resolution,[status(thm)],[14653, 14652, 14565])).
% 7.79/5.72 tff(14655,plain,
% 7.79/5.72 ((~(v191(constB95) <=> (v194(constB95) | v198(constB95)))) | (~v191(constB95)) | (v194(constB95) | v198(constB95))),
% 7.79/5.72 inference(tautology,[status(thm)],[])).
% 7.79/5.72 tff(14656,plain,
% 7.79/5.72 (~v191(constB95)),
% 7.79/5.72 inference(unit_resolution,[status(thm)],[14655, 14654, 14492])).
% 7.79/5.72 tff(14657,plain,
% 7.79/5.72 ((~(v193(constB96) <=> v191(constB95))) | (~v193(constB96)) | v191(constB95)),
% 7.79/5.72 inference(tautology,[status(thm)],[])).
% 7.79/5.72 tff(14658,plain,
% 7.79/5.72 (~v193(constB96)),
% 7.79/5.72 inference(unit_resolution,[status(thm)],[14657, 14656, 14490])).
% 7.79/5.72 tff(14659,plain,
% 7.79/5.72 ((~(v157(constB96) <=> v193(constB96))) | (~v157(constB96)) | v193(constB96)),
% 7.79/5.72 inference(tautology,[status(thm)],[])).
% 7.79/5.72 tff(14660,plain,
% 7.79/5.72 (~v157(constB96)),
% 7.79/5.72 inference(unit_resolution,[status(thm)],[14659, 14658, 14486])).
% 7.79/5.72 tff(14661,plain,
% 7.79/5.72 (((~v157(constB96)) | (~v195(constB96))) | v157(constB96)),
% 7.79/5.72 inference(tautology,[status(thm)],[])).
% 7.79/5.72 tff(14662,plain,
% 7.79/5.72 ((~v157(constB96)) | (~v195(constB96))),
% 7.79/5.72 inference(unit_resolution,[status(thm)],[14661, 14660])).
% 7.79/5.72 tff(14663,plain,
% 7.79/5.72 ((~(v194(constB96) <=> (~((~v157(constB96)) | (~v195(constB96)))))) | (~v194(constB96)) | (~((~v157(constB96)) | (~v195(constB96))))),
% 7.79/5.72 inference(tautology,[status(thm)],[])).
% 7.79/5.72 tff(14664,plain,
% 7.79/5.72 (~v194(constB96)),
% 7.79/5.72 inference(unit_resolution,[status(thm)],[14663, 14662, 14484])).
% 7.79/5.72 tff(14665,plain,
% 7.79/5.72 ((~(v194(constB96) | v198(constB96))) | v194(constB96) | v198(constB96)),
% 7.79/5.72 inference(tautology,[status(thm)],[])).
% 7.79/5.72 tff(14666,plain,
% 7.79/5.72 (~(v194(constB96) | v198(constB96))),
% 7.79/5.72 inference(unit_resolution,[status(thm)],[14665, 14664, 14477])).
% 7.79/5.72 tff(14667,plain,
% 7.79/5.72 ((~(v191(constB96) <=> (v194(constB96) | v198(constB96)))) | (~v191(constB96)) | (v194(constB96) | v198(constB96))),
% 7.79/5.72 inference(tautology,[status(thm)],[])).
% 7.79/5.72 tff(14668,plain,
% 7.79/5.72 (~v191(constB96)),
% 7.79/5.72 inference(unit_resolution,[status(thm)],[14667, 14666, 14452])).
% 7.79/5.72 tff(14669,plain,
% 7.79/5.72 ((~(v193(constB97) <=> v191(constB96))) | (~v193(constB97)) | v191(constB96)),
% 7.79/5.72 inference(tautology,[status(thm)],[])).
% 7.79/5.72 tff(14670,plain,
% 7.79/5.72 (~v193(constB97)),
% 7.79/5.72 inference(unit_resolution,[status(thm)],[14669, 14668, 14450])).
% 7.79/5.72 tff(14671,plain,
% 7.79/5.72 ($false),
% 7.79/5.72 inference(unit_resolution,[status(thm)],[14670, 14446])).
% 7.79/5.72 tff(14672,plain,(~(constB97 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.79/5.72 tff(14673,assumption,(constB79 = VarCurr!0), introduced(assumption)).
% 7.79/5.72 tff(14674,plain,
% 7.79/5.72 (v86(constB79) <=> v86(VarCurr!0)),
% 7.79/5.72 inference(monotonicity,[status(thm)],[14673])).
% 7.79/5.72 tff(14675,plain,
% 7.79/5.72 (v86(VarCurr!0) <=> v86(constB79)),
% 7.79/5.72 inference(symmetry,[status(thm)],[14674])).
% 7.79/5.72 tff(14676,plain,
% 7.79/5.72 ((~v86(VarCurr!0)) <=> (~v86(constB79))),
% 7.79/5.72 inference(monotonicity,[status(thm)],[14675])).
% 7.79/5.72 tff(14677,plain,
% 7.79/5.72 (^[VarCurr: $i] : refl((v84(VarCurr) <=> v86(VarCurr)) <=> (v84(VarCurr) <=> v86(VarCurr)))),
% 7.79/5.72 inference(bind,[status(th)],[])).
% 7.79/5.72 tff(14678,plain,
% 7.79/5.72 (![VarCurr: $i] : (v84(VarCurr) <=> v86(VarCurr)) <=> ![VarCurr: $i] : (v84(VarCurr) <=> v86(VarCurr))),
% 7.79/5.72 inference(quant_intro,[status(thm)],[14677])).
% 7.79/5.72 tff(14679,plain,
% 7.79/5.72 (![VarCurr: $i] : (v84(VarCurr) <=> v86(VarCurr)) <=> ![VarCurr: $i] : (v84(VarCurr) <=> v86(VarCurr))),
% 7.79/5.72 inference(rewrite,[status(thm)],[])).
% 7.79/5.72 tff(14680,axiom,(![VarCurr: $i] : (v84(VarCurr) <=> v86(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_9')).
% 7.79/5.72 tff(14681,plain,
% 7.79/5.72 (![VarCurr: $i] : (v84(VarCurr) <=> v86(VarCurr))),
% 7.79/5.72 inference(modus_ponens,[status(thm)],[14680, 14679])).
% 7.79/5.72 tff(14682,plain,(
% 7.79/5.72 ![VarCurr: $i] : (v84(VarCurr) <=> v86(VarCurr))),
% 7.79/5.72 inference(skolemize,[status(sab)],[14681])).
% 7.79/5.72 tff(14683,plain,
% 7.79/5.72 (![VarCurr: $i] : (v84(VarCurr) <=> v86(VarCurr))),
% 7.79/5.72 inference(modus_ponens,[status(thm)],[14682, 14678])).
% 7.79/5.72 tff(14684,plain,
% 7.79/5.72 ((~![VarCurr: $i] : (v84(VarCurr) <=> v86(VarCurr))) | (v84(VarCurr!0) <=> v86(VarCurr!0))),
% 7.79/5.72 inference(quant_inst,[status(thm)],[])).
% 7.79/5.72 tff(14685,plain,
% 7.79/5.72 (v84(VarCurr!0) <=> v86(VarCurr!0)),
% 7.79/5.72 inference(unit_resolution,[status(thm)],[14684, 14683])).
% 7.79/5.72 tff(14686,plain,
% 7.79/5.72 (^[VarCurr: $i] : refl(((~v208(VarCurr)) <=> v84(VarCurr)) <=> ((~v208(VarCurr)) <=> v84(VarCurr)))),
% 7.79/5.72 inference(bind,[status(th)],[])).
% 7.79/5.72 tff(14687,plain,
% 7.79/5.72 (![VarCurr: $i] : ((~v208(VarCurr)) <=> v84(VarCurr)) <=> ![VarCurr: $i] : ((~v208(VarCurr)) <=> v84(VarCurr))),
% 7.79/5.72 inference(quant_intro,[status(thm)],[14686])).
% 7.79/5.72 tff(14688,plain,
% 7.79/5.72 (![VarCurr: $i] : ((~v208(VarCurr)) <=> v84(VarCurr)) <=> ![VarCurr: $i] : ((~v208(VarCurr)) <=> v84(VarCurr))),
% 7.79/5.72 inference(rewrite,[status(thm)],[])).
% 7.79/5.72 tff(14689,axiom,(![VarCurr: $i] : ((~v208(VarCurr)) <=> v84(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeUnaryOperator_17')).
% 7.79/5.72 tff(14690,plain,
% 7.79/5.72 (![VarCurr: $i] : ((~v208(VarCurr)) <=> v84(VarCurr))),
% 7.79/5.72 inference(modus_ponens,[status(thm)],[14689, 14688])).
% 7.79/5.72 tff(14691,plain,(
% 7.79/5.72 ![VarCurr: $i] : ((~v208(VarCurr)) <=> v84(VarCurr))),
% 7.79/5.72 inference(skolemize,[status(sab)],[14690])).
% 7.79/5.72 tff(14692,plain,
% 7.79/5.72 (![VarCurr: $i] : ((~v208(VarCurr)) <=> v84(VarCurr))),
% 7.79/5.72 inference(modus_ponens,[status(thm)],[14691, 14687])).
% 7.79/5.72 tff(14693,plain,
% 7.79/5.72 ((~![VarCurr: $i] : ((~v208(VarCurr)) <=> v84(VarCurr))) | ((~v208(VarCurr!0)) <=> v84(VarCurr!0))),
% 7.79/5.72 inference(quant_inst,[status(thm)],[])).
% 7.79/5.72 tff(14694,plain,
% 7.79/5.72 ((~v208(VarCurr!0)) <=> v84(VarCurr!0)),
% 7.79/5.72 inference(unit_resolution,[status(thm)],[14693, 14692])).
% 7.79/5.72 tff(14695,plain,
% 7.79/5.72 (^[VarCurr: $i] : refl((v207(VarCurr) <=> (~((~v197(VarCurr)) | (~v208(VarCurr))))) <=> (v207(VarCurr) <=> (~((~v197(VarCurr)) | (~v208(VarCurr))))))),
% 7.79/5.72 inference(bind,[status(th)],[])).
% 7.79/5.72 tff(14696,plain,
% 7.79/5.72 (![VarCurr: $i] : (v207(VarCurr) <=> (~((~v197(VarCurr)) | (~v208(VarCurr))))) <=> ![VarCurr: $i] : (v207(VarCurr) <=> (~((~v197(VarCurr)) | (~v208(VarCurr)))))),
% 7.79/5.72 inference(quant_intro,[status(thm)],[14695])).
% 7.79/5.72 tff(14697,plain,
% 7.79/5.72 (^[VarCurr: $i] : rewrite((v207(VarCurr) <=> (v197(VarCurr) & v208(VarCurr))) <=> (v207(VarCurr) <=> (~((~v197(VarCurr)) | (~v208(VarCurr))))))),
% 7.79/5.72 inference(bind,[status(th)],[])).
% 7.79/5.72 tff(14698,plain,
% 7.79/5.72 (![VarCurr: $i] : (v207(VarCurr) <=> (v197(VarCurr) & v208(VarCurr))) <=> ![VarCurr: $i] : (v207(VarCurr) <=> (~((~v197(VarCurr)) | (~v208(VarCurr)))))),
% 7.79/5.72 inference(quant_intro,[status(thm)],[14697])).
% 7.79/5.72 tff(14699,plain,
% 7.79/5.72 (![VarCurr: $i] : (v207(VarCurr) <=> (v197(VarCurr) & v208(VarCurr))) <=> ![VarCurr: $i] : (v207(VarCurr) <=> (v197(VarCurr) & v208(VarCurr)))),
% 7.79/5.72 inference(rewrite,[status(thm)],[])).
% 7.79/5.72 tff(14700,axiom,(![VarCurr: $i] : (v207(VarCurr) <=> (v197(VarCurr) & v208(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_51')).
% 7.79/5.72 tff(14701,plain,
% 7.79/5.72 (![VarCurr: $i] : (v207(VarCurr) <=> (v197(VarCurr) & v208(VarCurr)))),
% 7.79/5.72 inference(modus_ponens,[status(thm)],[14700, 14699])).
% 7.79/5.72 tff(14702,plain,(
% 7.79/5.72 ![VarCurr: $i] : (v207(VarCurr) <=> (v197(VarCurr) & v208(VarCurr)))),
% 7.79/5.72 inference(skolemize,[status(sab)],[14701])).
% 7.79/5.72 tff(14703,plain,
% 7.79/5.72 (![VarCurr: $i] : (v207(VarCurr) <=> (~((~v197(VarCurr)) | (~v208(VarCurr)))))),
% 7.79/5.72 inference(modus_ponens,[status(thm)],[14702, 14698])).
% 7.79/5.72 tff(14704,plain,
% 7.79/5.72 (![VarCurr: $i] : (v207(VarCurr) <=> (~((~v197(VarCurr)) | (~v208(VarCurr)))))),
% 7.79/5.72 inference(modus_ponens,[status(thm)],[14703, 14696])).
% 7.79/5.72 tff(14705,plain,
% 7.79/5.72 ((~![VarCurr: $i] : (v207(VarCurr) <=> (~((~v197(VarCurr)) | (~v208(VarCurr)))))) | (v207(VarCurr!0) <=> (~((~v197(VarCurr!0)) | (~v208(VarCurr!0)))))),
% 7.79/5.72 inference(quant_inst,[status(thm)],[])).
% 7.79/5.72 tff(14706,plain,
% 7.79/5.72 (v207(VarCurr!0) <=> (~((~v197(VarCurr!0)) | (~v208(VarCurr!0))))),
% 7.79/5.72 inference(unit_resolution,[status(thm)],[14705, 14704])).
% 7.79/5.72 tff(14707,plain,
% 7.79/5.72 (^[VarCurr: $i] : refl((v206(VarCurr) <=> (~((~v199(VarCurr)) | (~v207(VarCurr))))) <=> (v206(VarCurr) <=> (~((~v199(VarCurr)) | (~v207(VarCurr))))))),
% 7.79/5.72 inference(bind,[status(th)],[])).
% 7.79/5.72 tff(14708,plain,
% 7.79/5.72 (![VarCurr: $i] : (v206(VarCurr) <=> (~((~v199(VarCurr)) | (~v207(VarCurr))))) <=> ![VarCurr: $i] : (v206(VarCurr) <=> (~((~v199(VarCurr)) | (~v207(VarCurr)))))),
% 7.79/5.72 inference(quant_intro,[status(thm)],[14707])).
% 7.79/5.72 tff(14709,plain,
% 7.79/5.72 (^[VarCurr: $i] : rewrite((v206(VarCurr) <=> (v199(VarCurr) & v207(VarCurr))) <=> (v206(VarCurr) <=> (~((~v199(VarCurr)) | (~v207(VarCurr))))))),
% 7.79/5.72 inference(bind,[status(th)],[])).
% 7.79/5.72 tff(14710,plain,
% 7.79/5.72 (![VarCurr: $i] : (v206(VarCurr) <=> (v199(VarCurr) & v207(VarCurr))) <=> ![VarCurr: $i] : (v206(VarCurr) <=> (~((~v199(VarCurr)) | (~v207(VarCurr)))))),
% 7.79/5.72 inference(quant_intro,[status(thm)],[14709])).
% 7.79/5.72 tff(14711,plain,
% 7.79/5.72 (![VarCurr: $i] : (v206(VarCurr) <=> (v199(VarCurr) & v207(VarCurr))) <=> ![VarCurr: $i] : (v206(VarCurr) <=> (v199(VarCurr) & v207(VarCurr)))),
% 7.79/5.72 inference(rewrite,[status(thm)],[])).
% 7.79/5.72 tff(14712,axiom,(![VarCurr: $i] : (v206(VarCurr) <=> (v199(VarCurr) & v207(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_52')).
% 7.79/5.72 tff(14713,plain,
% 7.79/5.72 (![VarCurr: $i] : (v206(VarCurr) <=> (v199(VarCurr) & v207(VarCurr)))),
% 7.79/5.72 inference(modus_ponens,[status(thm)],[14712, 14711])).
% 7.79/5.72 tff(14714,plain,(
% 7.79/5.72 ![VarCurr: $i] : (v206(VarCurr) <=> (v199(VarCurr) & v207(VarCurr)))),
% 7.79/5.72 inference(skolemize,[status(sab)],[14713])).
% 7.79/5.72 tff(14715,plain,
% 7.79/5.72 (![VarCurr: $i] : (v206(VarCurr) <=> (~((~v199(VarCurr)) | (~v207(VarCurr)))))),
% 7.79/5.72 inference(modus_ponens,[status(thm)],[14714, 14710])).
% 7.79/5.72 tff(14716,plain,
% 7.79/5.72 (![VarCurr: $i] : (v206(VarCurr) <=> (~((~v199(VarCurr)) | (~v207(VarCurr)))))),
% 7.79/5.72 inference(modus_ponens,[status(thm)],[14715, 14708])).
% 7.79/5.72 tff(14717,plain,
% 7.79/5.72 ((~![VarCurr: $i] : (v206(VarCurr) <=> (~((~v199(VarCurr)) | (~v207(VarCurr)))))) | (v206(VarCurr!0) <=> (~((~v199(VarCurr!0)) | (~v207(VarCurr!0)))))),
% 7.79/5.72 inference(quant_inst,[status(thm)],[])).
% 7.79/5.72 tff(14718,plain,
% 7.79/5.72 (v206(VarCurr!0) <=> (~((~v199(VarCurr!0)) | (~v207(VarCurr!0))))),
% 7.79/5.72 inference(unit_resolution,[status(thm)],[14717, 14716])).
% 7.79/5.72 tff(14719,plain,
% 7.79/5.72 (((~v206(VarCurr!0)) | (~v157(VarCurr!0))) | v206(VarCurr!0)),
% 7.79/5.72 inference(tautology,[status(thm)],[])).
% 7.79/5.72 tff(14720,plain,
% 7.79/5.72 (v206(VarCurr!0)),
% 7.79/5.72 inference(unit_resolution,[status(thm)],[14719, 54])).
% 7.79/5.72 tff(14721,plain,
% 7.79/5.72 ((~(v206(VarCurr!0) <=> (~((~v199(VarCurr!0)) | (~v207(VarCurr!0)))))) | (~v206(VarCurr!0)) | (~((~v199(VarCurr!0)) | (~v207(VarCurr!0))))),
% 7.79/5.72 inference(tautology,[status(thm)],[])).
% 7.79/5.72 tff(14722,plain,
% 7.79/5.72 ((~(v206(VarCurr!0) <=> (~((~v199(VarCurr!0)) | (~v207(VarCurr!0)))))) | (~((~v199(VarCurr!0)) | (~v207(VarCurr!0))))),
% 7.79/5.72 inference(unit_resolution,[status(thm)],[14721, 14720])).
% 7.79/5.72 tff(14723,plain,
% 7.79/5.72 (~((~v199(VarCurr!0)) | (~v207(VarCurr!0)))),
% 7.79/5.72 inference(unit_resolution,[status(thm)],[14722, 14718])).
% 7.79/5.72 tff(14724,plain,
% 7.79/5.72 (((~v199(VarCurr!0)) | (~v207(VarCurr!0))) | v207(VarCurr!0)),
% 7.79/5.72 inference(tautology,[status(thm)],[])).
% 7.79/5.72 tff(14725,plain,
% 7.79/5.72 (v207(VarCurr!0)),
% 7.79/5.72 inference(unit_resolution,[status(thm)],[14724, 14723])).
% 7.79/5.72 tff(14726,plain,
% 7.79/5.72 ((~(v207(VarCurr!0) <=> (~((~v197(VarCurr!0)) | (~v208(VarCurr!0)))))) | (~v207(VarCurr!0)) | (~((~v197(VarCurr!0)) | (~v208(VarCurr!0))))),
% 7.79/5.72 inference(tautology,[status(thm)],[])).
% 7.79/5.72 tff(14727,plain,
% 7.79/5.72 ((~(v207(VarCurr!0) <=> (~((~v197(VarCurr!0)) | (~v208(VarCurr!0)))))) | (~((~v197(VarCurr!0)) | (~v208(VarCurr!0))))),
% 7.79/5.72 inference(unit_resolution,[status(thm)],[14726, 14725])).
% 7.79/5.72 tff(14728,plain,
% 7.79/5.72 (~((~v197(VarCurr!0)) | (~v208(VarCurr!0)))),
% 7.79/5.72 inference(unit_resolution,[status(thm)],[14727, 14706])).
% 7.79/5.72 tff(14729,plain,
% 7.79/5.72 (((~v197(VarCurr!0)) | (~v208(VarCurr!0))) | v208(VarCurr!0)),
% 7.79/5.72 inference(tautology,[status(thm)],[])).
% 7.79/5.72 tff(14730,plain,
% 7.79/5.72 (v208(VarCurr!0)),
% 7.79/5.72 inference(unit_resolution,[status(thm)],[14729, 14728])).
% 7.79/5.72 tff(14731,plain,
% 7.79/5.72 ((~((~v208(VarCurr!0)) <=> v84(VarCurr!0))) | (~v208(VarCurr!0)) | (~v84(VarCurr!0))),
% 7.79/5.72 inference(tautology,[status(thm)],[])).
% 7.79/5.72 tff(14732,plain,
% 7.79/5.72 ((~((~v208(VarCurr!0)) <=> v84(VarCurr!0))) | (~v84(VarCurr!0))),
% 7.79/5.72 inference(unit_resolution,[status(thm)],[14731, 14730])).
% 7.79/5.72 tff(14733,plain,
% 7.79/5.72 (~v84(VarCurr!0)),
% 7.79/5.72 inference(unit_resolution,[status(thm)],[14732, 14694])).
% 7.79/5.72 tff(14734,plain,
% 7.79/5.72 ((~(v84(VarCurr!0) <=> v86(VarCurr!0))) | v84(VarCurr!0) | (~v86(VarCurr!0))),
% 7.79/5.72 inference(tautology,[status(thm)],[])).
% 7.79/5.72 tff(14735,plain,
% 7.79/5.72 ((~(v84(VarCurr!0) <=> v86(VarCurr!0))) | (~v86(VarCurr!0))),
% 7.79/5.72 inference(unit_resolution,[status(thm)],[14734, 14733])).
% 7.79/5.72 tff(14736,plain,
% 7.79/5.72 (~v86(VarCurr!0)),
% 7.79/5.72 inference(unit_resolution,[status(thm)],[14735, 14685])).
% 7.79/5.72 tff(14737,plain,
% 7.79/5.72 (~v86(constB79)),
% 7.79/5.72 inference(modus_ponens,[status(thm)],[14736, 14676])).
% 7.79/5.72 tff(14738,plain,
% 7.79/5.72 (^[VarCurr: $i] : refl((v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr))) <=> (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr))))),
% 7.79/5.72 inference(bind,[status(th)],[])).
% 7.79/5.72 tff(14739,plain,
% 7.79/5.72 (![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr))) <=> ![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))),
% 7.79/5.72 inference(quant_intro,[status(thm)],[14738])).
% 7.79/5.72 tff(14740,plain,
% 7.79/5.72 (![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr))) <=> ![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))),
% 7.79/5.72 inference(rewrite,[status(thm)],[])).
% 7.79/5.72 tff(14741,axiom,(![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_33')).
% 7.79/5.72 tff(14742,plain,
% 7.79/5.72 (![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))),
% 7.79/5.72 inference(modus_ponens,[status(thm)],[14741, 14740])).
% 7.79/5.72 tff(14743,plain,(
% 7.79/5.72 ![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))),
% 7.79/5.72 inference(skolemize,[status(sab)],[14742])).
% 7.79/5.72 tff(14744,plain,
% 7.79/5.72 (![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))),
% 7.79/5.72 inference(modus_ponens,[status(thm)],[14743, 14739])).
% 7.79/5.72 tff(14745,plain,
% 7.79/5.72 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB79) <=> (v136(constB79) | v145(constB79)))),
% 7.79/5.72 inference(quant_inst,[status(thm)],[])).
% 7.79/5.72 tff(14746,plain,
% 7.79/5.72 (v135(constB79) <=> (v136(constB79) | v145(constB79))),
% 7.79/5.72 inference(unit_resolution,[status(thm)],[14745, 14744])).
% 7.79/5.72 tff(14747,plain,
% 7.79/5.72 (^[VarCurr: $i] : refl((v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr))) <=> (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr))))),
% 7.79/5.72 inference(bind,[status(th)],[])).
% 7.79/5.72 tff(14748,plain,
% 7.79/5.72 (![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr))) <=> ![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))),
% 7.79/5.72 inference(quant_intro,[status(thm)],[14747])).
% 7.79/5.72 tff(14749,plain,
% 7.79/5.72 (![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr))) <=> ![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))),
% 7.79/5.72 inference(rewrite,[status(thm)],[])).
% 7.79/5.72 tff(14750,axiom,(![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_31')).
% 7.79/5.72 tff(14751,plain,
% 7.79/5.72 (![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))),
% 7.79/5.72 inference(modus_ponens,[status(thm)],[14750, 14749])).
% 7.79/5.72 tff(14752,plain,(
% 7.79/5.72 ![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))),
% 7.79/5.72 inference(skolemize,[status(sab)],[14751])).
% 7.79/5.72 tff(14753,plain,
% 7.79/5.72 (![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))),
% 7.79/5.72 inference(modus_ponens,[status(thm)],[14752, 14748])).
% 7.79/5.72 tff(14754,plain,
% 7.79/5.72 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB79) <=> (v137(constB79) | v142(constB79)))),
% 7.79/5.72 inference(quant_inst,[status(thm)],[])).
% 7.79/5.72 tff(14755,plain,
% 7.79/5.72 (v136(constB79) <=> (v137(constB79) | v142(constB79))),
% 7.79/5.72 inference(unit_resolution,[status(thm)],[14754, 14753])).
% 7.79/5.72 tff(14756,plain,
% 7.79/5.72 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB79) <=> (v143(constB79) | v144(constB79)))),
% 7.79/5.72 inference(quant_inst,[status(thm)],[])).
% 7.79/5.72 tff(14757,plain,
% 7.79/5.72 (v142(constB79) <=> (v143(constB79) | v144(constB79))),
% 7.79/5.72 inference(unit_resolution,[status(thm)],[14756, 10332])).
% 7.79/5.72 tff(14758,plain,
% 7.79/5.72 (^[VarCurr: $i] : refl((v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1))))) <=> (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1))))))),
% 7.79/5.72 inference(bind,[status(th)],[])).
% 7.79/5.72 tff(14759,plain,
% 7.79/5.72 (![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1))))) <=> ![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))),
% 7.79/5.72 inference(quant_intro,[status(thm)],[14758])).
% 7.79/5.72 tff(14760,plain,
% 7.79/5.72 (^[VarCurr: $i] : rewrite((v143(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & v88(VarCurr, bitIndex1) & (~v88(VarCurr, bitIndex0)))) <=> (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1))))))),
% 7.79/5.72 inference(bind,[status(th)],[])).
% 7.79/5.72 tff(14761,plain,
% 7.79/5.72 (![VarCurr: $i] : (v143(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & v88(VarCurr, bitIndex1) & (~v88(VarCurr, bitIndex0)))) <=> ![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))),
% 7.79/5.72 inference(quant_intro,[status(thm)],[14760])).
% 7.79/5.72 tff(14762,plain,
% 7.79/5.72 (![VarCurr: $i] : (v143(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & v88(VarCurr, bitIndex1) & (~v88(VarCurr, bitIndex0)))) <=> ![VarCurr: $i] : (v143(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & v88(VarCurr, bitIndex1) & (~v88(VarCurr, bitIndex0))))),
% 7.79/5.72 inference(rewrite,[status(thm)],[])).
% 7.79/5.72 tff(14763,plain,
% 7.79/5.72 (^[VarCurr: $i] : rewrite((v143(VarCurr) <=> (((v88(VarCurr, bitIndex2) <=> $false) & (v88(VarCurr, bitIndex1) <=> $true)) & (v88(VarCurr, bitIndex0) <=> $false))) <=> (v143(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & v88(VarCurr, bitIndex1) & (~v88(VarCurr, bitIndex0)))))),
% 7.79/5.72 inference(bind,[status(th)],[])).
% 7.79/5.72 tff(14764,plain,
% 7.79/5.72 (![VarCurr: $i] : (v143(VarCurr) <=> (((v88(VarCurr, bitIndex2) <=> $false) & (v88(VarCurr, bitIndex1) <=> $true)) & (v88(VarCurr, bitIndex0) <=> $false))) <=> ![VarCurr: $i] : (v143(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & v88(VarCurr, bitIndex1) & (~v88(VarCurr, bitIndex0))))),
% 7.79/5.72 inference(quant_intro,[status(thm)],[14763])).
% 7.79/5.72 tff(14765,axiom,(![VarCurr: $i] : (v143(VarCurr) <=> (((v88(VarCurr, bitIndex2) <=> $false) & (v88(VarCurr, bitIndex1) <=> $true)) & (v88(VarCurr, bitIndex0) <=> $false)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_12')).
% 7.79/5.72 tff(14766,plain,
% 7.79/5.72 (![VarCurr: $i] : (v143(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & v88(VarCurr, bitIndex1) & (~v88(VarCurr, bitIndex0))))),
% 7.79/5.72 inference(modus_ponens,[status(thm)],[14765, 14764])).
% 7.79/5.72 tff(14767,plain,
% 7.79/5.72 (![VarCurr: $i] : (v143(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & v88(VarCurr, bitIndex1) & (~v88(VarCurr, bitIndex0))))),
% 7.79/5.72 inference(modus_ponens,[status(thm)],[14766, 14762])).
% 7.79/5.72 tff(14768,plain,(
% 7.79/5.72 ![VarCurr: $i] : (v143(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & v88(VarCurr, bitIndex1) & (~v88(VarCurr, bitIndex0))))),
% 7.79/5.72 inference(skolemize,[status(sab)],[14767])).
% 7.79/5.72 tff(14769,plain,
% 7.79/5.72 (![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))),
% 7.79/5.72 inference(modus_ponens,[status(thm)],[14768, 14761])).
% 7.79/5.72 tff(14770,plain,
% 7.79/5.72 (![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))),
% 7.79/5.72 inference(modus_ponens,[status(thm)],[14769, 14759])).
% 7.79/5.72 tff(14771,plain,
% 7.79/5.72 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB79) <=> (~((~v88(constB79, bitIndex1)) | v88(constB79, bitIndex2) | v88(constB79, bitIndex0))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB79) <=> (~((~v88(constB79, bitIndex1)) | v88(constB79, bitIndex2) | v88(constB79, bitIndex0)))))),
% 7.79/5.72 inference(rewrite,[status(thm)],[])).
% 7.79/5.72 tff(14772,plain,
% 7.79/5.72 ((v143(constB79) <=> (~(v88(constB79, bitIndex0) | v88(constB79, bitIndex2) | (~v88(constB79, bitIndex1))))) <=> (v143(constB79) <=> (~((~v88(constB79, bitIndex1)) | v88(constB79, bitIndex2) | v88(constB79, bitIndex0))))),
% 7.79/5.72 inference(rewrite,[status(thm)],[])).
% 7.79/5.72 tff(14773,plain,
% 7.79/5.72 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB79) <=> (~(v88(constB79, bitIndex0) | v88(constB79, bitIndex2) | (~v88(constB79, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB79) <=> (~((~v88(constB79, bitIndex1)) | v88(constB79, bitIndex2) | v88(constB79, bitIndex0)))))),
% 7.79/5.72 inference(monotonicity,[status(thm)],[14772])).
% 7.79/5.72 tff(14774,plain,
% 7.79/5.72 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB79) <=> (~(v88(constB79, bitIndex0) | v88(constB79, bitIndex2) | (~v88(constB79, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB79) <=> (~((~v88(constB79, bitIndex1)) | v88(constB79, bitIndex2) | v88(constB79, bitIndex0)))))),
% 7.79/5.72 inference(transitivity,[status(thm)],[14773, 14771])).
% 7.79/5.72 tff(14775,plain,
% 7.79/5.72 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB79) <=> (~(v88(constB79, bitIndex0) | v88(constB79, bitIndex2) | (~v88(constB79, bitIndex1)))))),
% 7.79/5.72 inference(quant_inst,[status(thm)],[])).
% 7.79/5.72 tff(14776,plain,
% 7.79/5.72 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB79) <=> (~((~v88(constB79, bitIndex1)) | v88(constB79, bitIndex2) | v88(constB79, bitIndex0))))),
% 7.79/5.72 inference(modus_ponens,[status(thm)],[14775, 14774])).
% 7.79/5.72 tff(14777,plain,
% 7.79/5.72 (v143(constB79) <=> (~((~v88(constB79, bitIndex1)) | v88(constB79, bitIndex2) | v88(constB79, bitIndex0)))),
% 7.79/5.72 inference(unit_resolution,[status(thm)],[14776, 14770])).
% 7.79/5.72 tff(14778,plain,
% 7.79/5.72 ((~![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))) | (~(((~v88(constB79, bitIndex1)) <=> v90(constB79, bitIndex1)) | ((~v88(constB79, bitIndex2)) <=> v90(constB79, bitIndex2)) | ((~v88(constB79, bitIndex0)) <=> v90(constB79, bitIndex0))))),
% 7.79/5.72 inference(quant_inst,[status(thm)],[])).
% 7.79/5.72 tff(14779,plain,
% 7.79/5.72 (~(((~v88(constB79, bitIndex1)) <=> v90(constB79, bitIndex1)) | ((~v88(constB79, bitIndex2)) <=> v90(constB79, bitIndex2)) | ((~v88(constB79, bitIndex0)) <=> v90(constB79, bitIndex0)))),
% 7.79/5.72 inference(unit_resolution,[status(thm)],[14778, 428])).
% 7.79/5.72 tff(14780,plain,
% 7.79/5.72 ((((~v88(constB79, bitIndex1)) <=> v90(constB79, bitIndex1)) | ((~v88(constB79, bitIndex2)) <=> v90(constB79, bitIndex2)) | ((~v88(constB79, bitIndex0)) <=> v90(constB79, bitIndex0))) | (~((~v88(constB79, bitIndex2)) <=> v90(constB79, bitIndex2)))),
% 7.79/5.72 inference(tautology,[status(thm)],[])).
% 7.79/5.72 tff(14781,plain,
% 7.79/5.72 (~((~v88(constB79, bitIndex2)) <=> v90(constB79, bitIndex2))),
% 7.79/5.72 inference(unit_resolution,[status(thm)],[14780, 14779])).
% 7.79/5.72 tff(14782,plain,
% 7.79/5.72 (((~v88(constB79, bitIndex2)) <=> v90(constB79, bitIndex2)) | (~v88(constB79, bitIndex2)) | v90(constB79, bitIndex2)),
% 7.79/5.72 inference(tautology,[status(thm)],[])).
% 7.79/5.72 tff(14783,plain,
% 7.79/5.72 (~v88(constB79, bitIndex2)),
% 7.79/5.72 inference(unit_resolution,[status(thm)],[14782, 9626, 14781])).
% 7.79/5.72 tff(14784,plain,
% 7.79/5.72 ((((~v88(constB79, bitIndex1)) <=> v90(constB79, bitIndex1)) | ((~v88(constB79, bitIndex2)) <=> v90(constB79, bitIndex2)) | ((~v88(constB79, bitIndex0)) <=> v90(constB79, bitIndex0))) | (~((~v88(constB79, bitIndex0)) <=> v90(constB79, bitIndex0)))),
% 7.79/5.72 inference(tautology,[status(thm)],[])).
% 7.79/5.72 tff(14785,plain,
% 7.79/5.72 (~((~v88(constB79, bitIndex0)) <=> v90(constB79, bitIndex0))),
% 7.79/5.72 inference(unit_resolution,[status(thm)],[14784, 14779])).
% 7.79/5.72 tff(14786,plain,
% 7.79/5.72 (((~v88(constB79, bitIndex0)) <=> v90(constB79, bitIndex0)) | (~v88(constB79, bitIndex0)) | v90(constB79, bitIndex0)),
% 7.79/5.72 inference(tautology,[status(thm)],[])).
% 7.79/5.72 tff(14787,plain,
% 7.79/5.72 (~v88(constB79, bitIndex0)),
% 7.79/5.72 inference(unit_resolution,[status(thm)],[14786, 9644, 14785])).
% 7.79/5.72 tff(14788,plain,
% 7.79/5.72 ((((~v88(constB79, bitIndex1)) <=> v90(constB79, bitIndex1)) | ((~v88(constB79, bitIndex2)) <=> v90(constB79, bitIndex2)) | ((~v88(constB79, bitIndex0)) <=> v90(constB79, bitIndex0))) | (~((~v88(constB79, bitIndex1)) <=> v90(constB79, bitIndex1)))),
% 7.79/5.72 inference(tautology,[status(thm)],[])).
% 7.79/5.72 tff(14789,plain,
% 7.79/5.72 (~((~v88(constB79, bitIndex1)) <=> v90(constB79, bitIndex1))),
% 7.79/5.72 inference(unit_resolution,[status(thm)],[14788, 14779])).
% 7.79/5.72 tff(14790,plain,
% 7.79/5.72 (((~v88(constB79, bitIndex1)) <=> v90(constB79, bitIndex1)) | v88(constB79, bitIndex1) | (~v90(constB79, bitIndex1))),
% 7.79/5.72 inference(tautology,[status(thm)],[])).
% 7.79/5.72 tff(14791,plain,
% 7.79/5.72 (v88(constB79, bitIndex1)),
% 7.79/5.72 inference(unit_resolution,[status(thm)],[14790, 9662, 14789])).
% 7.79/5.72 tff(14792,plain,
% 7.79/5.72 ((~((~v88(constB79, bitIndex1)) | v88(constB79, bitIndex2) | v88(constB79, bitIndex0))) | (~v88(constB79, bitIndex1)) | v88(constB79, bitIndex2) | v88(constB79, bitIndex0)),
% 7.79/5.72 inference(tautology,[status(thm)],[])).
% 7.79/5.72 tff(14793,plain,
% 7.79/5.72 (~((~v88(constB79, bitIndex1)) | v88(constB79, bitIndex2) | v88(constB79, bitIndex0))),
% 7.79/5.72 inference(unit_resolution,[status(thm)],[14792, 14791, 14787, 14783])).
% 7.79/5.72 tff(14794,plain,
% 7.79/5.72 ((~(v143(constB79) <=> (~((~v88(constB79, bitIndex1)) | v88(constB79, bitIndex2) | v88(constB79, bitIndex0))))) | v143(constB79) | ((~v88(constB79, bitIndex1)) | v88(constB79, bitIndex2) | v88(constB79, bitIndex0))),
% 7.79/5.72 inference(tautology,[status(thm)],[])).
% 7.79/5.72 tff(14795,plain,
% 7.79/5.72 (v143(constB79)),
% 7.79/5.72 inference(unit_resolution,[status(thm)],[14794, 14793, 14777])).
% 7.79/5.72 tff(14796,plain,
% 7.79/5.72 ((v143(constB79) | v144(constB79)) | (~v143(constB79))),
% 7.79/5.72 inference(tautology,[status(thm)],[])).
% 7.79/5.72 tff(14797,plain,
% 7.79/5.72 (v143(constB79) | v144(constB79)),
% 7.79/5.72 inference(unit_resolution,[status(thm)],[14796, 14795])).
% 7.79/5.72 tff(14798,plain,
% 7.79/5.72 ((~(v142(constB79) <=> (v143(constB79) | v144(constB79)))) | v142(constB79) | (~(v143(constB79) | v144(constB79)))),
% 7.79/5.72 inference(tautology,[status(thm)],[])).
% 7.79/5.72 tff(14799,plain,
% 7.79/5.72 (v142(constB79)),
% 7.79/5.72 inference(unit_resolution,[status(thm)],[14798, 14797, 14757])).
% 7.79/5.72 tff(14800,plain,
% 7.79/5.72 ((v137(constB79) | v142(constB79)) | (~v142(constB79))),
% 7.79/5.72 inference(tautology,[status(thm)],[])).
% 7.79/5.72 tff(14801,plain,
% 7.79/5.72 (v137(constB79) | v142(constB79)),
% 7.79/5.72 inference(unit_resolution,[status(thm)],[14800, 14799])).
% 7.79/5.72 tff(14802,plain,
% 7.79/5.72 ((~(v136(constB79) <=> (v137(constB79) | v142(constB79)))) | v136(constB79) | (~(v137(constB79) | v142(constB79)))),
% 7.79/5.72 inference(tautology,[status(thm)],[])).
% 7.79/5.72 tff(14803,plain,
% 7.79/5.72 ((~(v136(constB79) <=> (v137(constB79) | v142(constB79)))) | v136(constB79)),
% 7.79/5.72 inference(unit_resolution,[status(thm)],[14802, 14801])).
% 7.79/5.72 tff(14804,plain,
% 7.79/5.72 (v136(constB79)),
% 7.79/5.72 inference(unit_resolution,[status(thm)],[14803, 14755])).
% 7.79/5.72 tff(14805,plain,
% 7.79/5.72 ((v136(constB79) | v145(constB79)) | (~v136(constB79))),
% 7.79/5.72 inference(tautology,[status(thm)],[])).
% 7.79/5.72 tff(14806,plain,
% 7.79/5.72 (v136(constB79) | v145(constB79)),
% 7.79/5.72 inference(unit_resolution,[status(thm)],[14805, 14804])).
% 7.79/5.72 tff(14807,plain,
% 7.79/5.72 ((~(v135(constB79) <=> (v136(constB79) | v145(constB79)))) | v135(constB79) | (~(v136(constB79) | v145(constB79)))),
% 7.79/5.72 inference(tautology,[status(thm)],[])).
% 7.79/5.72 tff(14808,plain,
% 7.79/5.72 (v135(constB79)),
% 7.79/5.72 inference(unit_resolution,[status(thm)],[14807, 14806, 14746])).
% 7.79/5.72 tff(14809,plain,
% 7.79/5.72 (^[VarNext: $i] : refl(((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext))) <=> ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext))))),
% 7.79/5.72 inference(bind,[status(th)],[])).
% 7.79/5.72 tff(14810,plain,
% 7.79/5.72 (![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext))) <=> ![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))),
% 7.79/5.72 inference(quant_intro,[status(thm)],[14809])).
% 7.79/5.72 tff(14811,plain,
% 7.79/5.72 (![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext))) <=> ![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))),
% 7.79/5.72 inference(rewrite,[status(thm)],[])).
% 7.79/5.72 tff(14812,plain,
% 7.79/5.72 (^[VarNext: $i] : rewrite((v135(VarNext) => (v86(VarNext) <=> v148(VarNext))) <=> ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext))))),
% 7.79/5.72 inference(bind,[status(th)],[])).
% 7.79/5.72 tff(14813,plain,
% 7.79/5.72 (![VarNext: $i] : (v135(VarNext) => (v86(VarNext) <=> v148(VarNext))) <=> ![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))),
% 7.79/5.72 inference(quant_intro,[status(thm)],[14812])).
% 7.79/5.72 tff(14814,axiom,(![VarNext: $i] : (v135(VarNext) => (v86(VarNext) <=> v148(VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch_4')).
% 7.79/5.72 tff(14815,plain,
% 7.79/5.72 (![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))),
% 7.79/5.72 inference(modus_ponens,[status(thm)],[14814, 14813])).
% 7.79/5.72 tff(14816,plain,
% 7.79/5.72 (![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))),
% 7.79/5.72 inference(modus_ponens,[status(thm)],[14815, 14811])).
% 7.79/5.72 tff(14817,plain,(
% 7.79/5.72 ![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))),
% 7.79/5.72 inference(skolemize,[status(sab)],[14816])).
% 7.79/5.72 tff(14818,plain,
% 7.79/5.72 (![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))),
% 7.79/5.72 inference(modus_ponens,[status(thm)],[14817, 14810])).
% 7.79/5.72 tff(14819,plain,
% 7.79/5.72 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB79)) | (v86(constB79) <=> v148(constB79)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB79)) | (v86(constB79) <=> v148(constB79)))),
% 7.79/5.72 inference(rewrite,[status(thm)],[])).
% 7.79/5.72 tff(14820,plain,
% 7.79/5.72 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB79)) | (v86(constB79) <=> v148(constB79)))),
% 7.79/5.72 inference(quant_inst,[status(thm)],[])).
% 7.79/5.72 tff(14821,plain,
% 7.79/5.72 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB79)) | (v86(constB79) <=> v148(constB79))),
% 7.79/5.72 inference(modus_ponens,[status(thm)],[14820, 14819])).
% 7.79/5.72 tff(14822,plain,
% 7.79/5.72 (v86(constB79) <=> v148(constB79)),
% 7.79/5.72 inference(unit_resolution,[status(thm)],[14821, 14818, 14808])).
% 7.79/5.72 tff(14823,plain,
% 7.79/5.72 (^[VarCurr: $i] : refl((v148(VarCurr) | (~v142(VarCurr))) <=> (v148(VarCurr) | (~v142(VarCurr))))),
% 7.79/5.72 inference(bind,[status(th)],[])).
% 7.79/5.72 tff(14824,plain,
% 7.79/5.72 (![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr))) <=> ![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))),
% 7.79/5.72 inference(quant_intro,[status(thm)],[14823])).
% 7.79/5.72 tff(14825,plain,
% 7.79/5.72 (![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr))) <=> ![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))),
% 7.79/5.72 inference(rewrite,[status(thm)],[])).
% 7.79/5.72 tff(14826,plain,
% 7.79/5.72 (^[VarCurr: $i] : trans(monotonicity(rewrite((v148(VarCurr) <=> $true) <=> v148(VarCurr)), ((v142(VarCurr) => (v148(VarCurr) <=> $true)) <=> (v142(VarCurr) => v148(VarCurr)))), rewrite((v142(VarCurr) => v148(VarCurr)) <=> (v148(VarCurr) | (~v142(VarCurr)))), ((v142(VarCurr) => (v148(VarCurr) <=> $true)) <=> (v148(VarCurr) | (~v142(VarCurr)))))),
% 7.79/5.72 inference(bind,[status(th)],[])).
% 7.79/5.72 tff(14827,plain,
% 7.79/5.72 (![VarCurr: $i] : (v142(VarCurr) => (v148(VarCurr) <=> $true)) <=> ![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))),
% 7.79/5.72 inference(quant_intro,[status(thm)],[14826])).
% 7.79/5.72 tff(14828,axiom,(![VarCurr: $i] : (v142(VarCurr) => (v148(VarCurr) <=> $true))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_2')).
% 7.79/5.72 tff(14829,plain,
% 7.79/5.72 (![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))),
% 7.79/5.72 inference(modus_ponens,[status(thm)],[14828, 14827])).
% 7.79/5.72 tff(14830,plain,
% 7.79/5.72 (![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))),
% 7.79/5.72 inference(modus_ponens,[status(thm)],[14829, 14825])).
% 7.79/5.72 tff(14831,plain,(
% 7.79/5.72 ![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))),
% 7.79/5.72 inference(skolemize,[status(sab)],[14830])).
% 7.79/5.72 tff(14832,plain,
% 7.79/5.72 (![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))),
% 7.79/5.72 inference(modus_ponens,[status(thm)],[14831, 14824])).
% 7.79/5.72 tff(14833,plain,
% 7.79/5.72 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB79) | (~v142(constB79)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB79) | (~v142(constB79)))),
% 7.79/5.72 inference(rewrite,[status(thm)],[])).
% 7.79/5.72 tff(14834,plain,
% 7.79/5.72 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB79) | (~v142(constB79)))),
% 7.79/5.72 inference(quant_inst,[status(thm)],[])).
% 7.79/5.72 tff(14835,plain,
% 7.79/5.72 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB79) | (~v142(constB79))),
% 7.79/5.72 inference(modus_ponens,[status(thm)],[14834, 14833])).
% 7.79/5.72 tff(14836,plain,
% 7.79/5.72 (v148(constB79)),
% 7.79/5.72 inference(unit_resolution,[status(thm)],[14835, 14832, 14799])).
% 7.79/5.72 tff(14837,plain,
% 7.79/5.72 ((~(v86(constB79) <=> v148(constB79))) | v86(constB79) | (~v148(constB79))),
% 7.79/5.72 inference(tautology,[status(thm)],[])).
% 7.79/5.72 tff(14838,plain,
% 7.79/5.72 ((~(v86(constB79) <=> v148(constB79))) | v86(constB79)),
% 7.79/5.72 inference(unit_resolution,[status(thm)],[14837, 14836])).
% 7.79/5.72 tff(14839,plain,
% 7.79/5.72 (v86(constB79)),
% 7.79/5.72 inference(unit_resolution,[status(thm)],[14838, 14822])).
% 7.79/5.72 tff(14840,plain,
% 7.79/5.72 ($false),
% 7.79/5.72 inference(unit_resolution,[status(thm)],[14839, 14737])).
% 7.79/5.72 tff(14841,plain,(~(constB79 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.79/5.72 tff(14842,assumption,(constB197 = VarCurr!0), introduced(assumption)).
% 7.79/5.72 tff(14843,plain,
% 7.79/5.72 (v193(constB197) <=> v193(VarCurr!0)),
% 7.79/5.72 inference(monotonicity,[status(thm)],[14842])).
% 7.79/5.72 tff(14844,plain,
% 7.79/5.72 (v193(VarCurr!0) <=> v193(constB197)),
% 7.79/5.72 inference(symmetry,[status(thm)],[14843])).
% 7.79/5.72 tff(14845,plain,
% 7.79/5.72 (v193(constB197)),
% 7.79/5.72 inference(modus_ponens,[status(thm)],[59, 14844])).
% 7.79/5.72 tff(14846,plain,
% 7.79/5.72 (nextState(constB196, constB197) <=> nextState(constB196, constB197)),
% 7.79/5.72 inference(rewrite,[status(thm)],[])).
% 7.79/5.72 tff(14847,axiom,(nextState(constB196, constB197)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_196')).
% 7.79/5.72 tff(14848,plain,
% 7.79/5.72 (nextState(constB196, constB197)),
% 7.79/5.72 inference(modus_ponens,[status(thm)],[14847, 14846])).
% 7.79/5.72 tff(14849,plain,
% 7.79/5.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB196, constB197)) | (v193(constB197) <=> v191(constB196)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB196, constB197)) | (v193(constB197) <=> v191(constB196)))),
% 7.79/5.72 inference(rewrite,[status(thm)],[])).
% 7.79/5.72 tff(14850,plain,
% 7.79/5.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB196, constB197)) | (v193(constB197) <=> v191(constB196)))),
% 7.79/5.72 inference(quant_inst,[status(thm)],[])).
% 7.79/5.72 tff(14851,plain,
% 7.79/5.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB196, constB197)) | (v193(constB197) <=> v191(constB196))),
% 7.79/5.72 inference(modus_ponens,[status(thm)],[14850, 14849])).
% 7.79/5.72 tff(14852,plain,
% 7.79/5.72 (v193(constB197) <=> v191(constB196)),
% 7.79/5.72 inference(unit_resolution,[status(thm)],[14851, 14848, 70])).
% 7.79/5.72 tff(14853,plain,
% 7.79/5.72 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB196) <=> (v194(constB196) | v198(constB196)))),
% 7.79/5.72 inference(quant_inst,[status(thm)],[])).
% 7.79/5.72 tff(14854,plain,
% 7.79/5.72 (v191(constB196) <=> (v194(constB196) | v198(constB196))),
% 7.79/5.72 inference(unit_resolution,[status(thm)],[14853, 84])).
% 7.79/5.72 tff(14855,plain,
% 7.79/5.72 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB196) <=> (~((~v199(constB196)) | (~v200(constB196)))))),
% 7.79/5.72 inference(quant_inst,[status(thm)],[])).
% 7.79/5.72 tff(14856,plain,
% 7.79/5.72 (v198(constB196) <=> (~((~v199(constB196)) | (~v200(constB196))))),
% 7.79/5.72 inference(unit_resolution,[status(thm)],[14855, 96])).
% 7.79/5.72 tff(14857,plain,
% 7.79/5.72 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB196) <=> (~((~v197(constB196)) | (~v201(constB196)))))),
% 7.79/5.72 inference(quant_inst,[status(thm)],[])).
% 7.79/5.72 tff(14858,plain,
% 7.79/5.72 (v200(constB196) <=> (~((~v197(constB196)) | (~v201(constB196))))),
% 7.79/5.72 inference(unit_resolution,[status(thm)],[14857, 108])).
% 7.79/5.72 tff(14859,plain,
% 7.79/5.72 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB196) <=> (~((~v39(constB196)) | (~v9(constB196)))))),
% 7.79/5.72 inference(quant_inst,[status(thm)],[])).
% 7.79/5.72 tff(14860,plain,
% 7.79/5.72 (v197(constB196) <=> (~((~v39(constB196)) | (~v9(constB196))))),
% 7.79/5.72 inference(unit_resolution,[status(thm)],[14859, 120])).
% 7.79/5.72 tff(14861,plain,
% 7.79/5.72 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB196)) <=> v1(constB196))),
% 7.79/5.72 inference(quant_inst,[status(thm)],[])).
% 7.79/5.72 tff(14862,plain,
% 7.79/5.72 ((~v39(constB196)) <=> v1(constB196)),
% 7.79/5.72 inference(unit_resolution,[status(thm)],[14861, 129])).
% 7.79/5.72 tff(14863,plain,
% 7.79/5.72 (v1(constB196) <=> v1(constB196)),
% 7.79/5.72 inference(rewrite,[status(thm)],[])).
% 7.79/5.72 tff(14864,axiom,(v1(constB196)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_196')).
% 7.79/5.72 tff(14865,plain,
% 7.79/5.72 (v1(constB196)),
% 7.79/5.72 inference(modus_ponens,[status(thm)],[14864, 14863])).
% 7.79/5.72 tff(14866,plain,
% 7.79/5.72 ((~((~v39(constB196)) <=> v1(constB196))) | (~v39(constB196)) | (~v1(constB196))),
% 7.79/5.72 inference(tautology,[status(thm)],[])).
% 7.79/5.72 tff(14867,plain,
% 7.79/5.72 ((~((~v39(constB196)) <=> v1(constB196))) | (~v39(constB196))),
% 7.79/5.72 inference(unit_resolution,[status(thm)],[14866, 14865])).
% 7.79/5.72 tff(14868,plain,
% 7.79/5.72 (~v39(constB196)),
% 7.79/5.72 inference(unit_resolution,[status(thm)],[14867, 14862])).
% 7.79/5.72 tff(14869,plain,
% 7.79/5.72 (((~v39(constB196)) | (~v9(constB196))) | v39(constB196)),
% 7.79/5.72 inference(tautology,[status(thm)],[])).
% 7.79/5.72 tff(14870,plain,
% 7.79/5.72 ((~v39(constB196)) | (~v9(constB196))),
% 7.79/5.72 inference(unit_resolution,[status(thm)],[14869, 14868])).
% 7.79/5.72 tff(14871,plain,
% 7.79/5.72 ((~(v197(constB196) <=> (~((~v39(constB196)) | (~v9(constB196)))))) | (~v197(constB196)) | (~((~v39(constB196)) | (~v9(constB196))))),
% 7.79/5.72 inference(tautology,[status(thm)],[])).
% 7.79/5.72 tff(14872,plain,
% 7.79/5.72 ((~(v197(constB196) <=> (~((~v39(constB196)) | (~v9(constB196)))))) | (~v197(constB196))),
% 7.79/5.72 inference(unit_resolution,[status(thm)],[14871, 14870])).
% 7.79/5.72 tff(14873,plain,
% 7.79/5.72 (~v197(constB196)),
% 7.79/5.72 inference(unit_resolution,[status(thm)],[14872, 14860])).
% 7.79/5.72 tff(14874,plain,
% 7.79/5.72 (((~v197(constB196)) | (~v201(constB196))) | v197(constB196)),
% 7.79/5.72 inference(tautology,[status(thm)],[])).
% 7.79/5.72 tff(14875,plain,
% 7.79/5.72 ((~v197(constB196)) | (~v201(constB196))),
% 7.79/5.72 inference(unit_resolution,[status(thm)],[14874, 14873])).
% 7.79/5.72 tff(14876,plain,
% 7.79/5.72 ((~(v200(constB196) <=> (~((~v197(constB196)) | (~v201(constB196)))))) | (~v200(constB196)) | (~((~v197(constB196)) | (~v201(constB196))))),
% 7.79/5.72 inference(tautology,[status(thm)],[])).
% 7.79/5.72 tff(14877,plain,
% 7.79/5.72 ((~(v200(constB196) <=> (~((~v197(constB196)) | (~v201(constB196)))))) | (~v200(constB196))),
% 7.79/5.72 inference(unit_resolution,[status(thm)],[14876, 14875])).
% 7.79/5.72 tff(14878,plain,
% 7.79/5.72 (~v200(constB196)),
% 7.79/5.72 inference(unit_resolution,[status(thm)],[14877, 14858])).
% 7.79/5.72 tff(14879,plain,
% 7.79/5.72 (((~v199(constB196)) | (~v200(constB196))) | v200(constB196)),
% 7.79/5.72 inference(tautology,[status(thm)],[])).
% 7.79/5.72 tff(14880,plain,
% 7.79/5.72 ((~v199(constB196)) | (~v200(constB196))),
% 7.79/5.72 inference(unit_resolution,[status(thm)],[14879, 14878])).
% 7.79/5.72 tff(14881,plain,
% 7.79/5.72 ((~(v198(constB196) <=> (~((~v199(constB196)) | (~v200(constB196)))))) | (~v198(constB196)) | (~((~v199(constB196)) | (~v200(constB196))))),
% 7.79/5.72 inference(tautology,[status(thm)],[])).
% 7.79/5.72 tff(14882,plain,
% 7.79/5.72 (~v198(constB196)),
% 7.79/5.72 inference(unit_resolution,[status(thm)],[14881, 14880, 14856])).
% 7.79/5.72 tff(14883,plain,
% 7.79/5.72 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB196) <=> (~((~v157(constB196)) | (~v195(constB196)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB196) <=> (~((~v157(constB196)) | (~v195(constB196))))))),
% 7.79/5.72 inference(rewrite,[status(thm)],[])).
% 7.79/5.72 tff(14884,plain,
% 7.79/5.72 ((v194(constB196) <=> (~((~v195(constB196)) | (~v157(constB196))))) <=> (v194(constB196) <=> (~((~v157(constB196)) | (~v195(constB196)))))),
% 7.79/5.72 inference(rewrite,[status(thm)],[])).
% 7.79/5.73 tff(14885,plain,
% 7.79/5.73 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB196) <=> (~((~v195(constB196)) | (~v157(constB196)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB196) <=> (~((~v157(constB196)) | (~v195(constB196))))))),
% 7.79/5.73 inference(monotonicity,[status(thm)],[14884])).
% 7.79/5.73 tff(14886,plain,
% 7.79/5.73 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB196) <=> (~((~v195(constB196)) | (~v157(constB196)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB196) <=> (~((~v157(constB196)) | (~v195(constB196))))))),
% 7.79/5.73 inference(transitivity,[status(thm)],[14885, 14883])).
% 7.79/5.73 tff(14887,plain,
% 7.79/5.73 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB196) <=> (~((~v195(constB196)) | (~v157(constB196)))))),
% 7.79/5.73 inference(quant_inst,[status(thm)],[])).
% 7.79/5.73 tff(14888,plain,
% 7.79/5.73 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB196) <=> (~((~v157(constB196)) | (~v195(constB196)))))),
% 7.79/5.73 inference(modus_ponens,[status(thm)],[14887, 14886])).
% 7.79/5.73 tff(14889,plain,
% 7.79/5.73 (v194(constB196) <=> (~((~v157(constB196)) | (~v195(constB196))))),
% 7.79/5.73 inference(unit_resolution,[status(thm)],[14888, 161])).
% 7.79/5.73 tff(14890,plain,
% 7.79/5.73 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB196) <=> v193(constB196))),
% 7.79/5.73 inference(quant_inst,[status(thm)],[])).
% 7.79/5.73 tff(14891,plain,
% 7.79/5.73 (v157(constB196) <=> v193(constB196)),
% 7.79/5.73 inference(unit_resolution,[status(thm)],[14890, 13])).
% 7.79/5.73 tff(14892,plain,
% 7.79/5.73 (nextState(constB195, constB196) <=> nextState(constB195, constB196)),
% 7.79/5.73 inference(rewrite,[status(thm)],[])).
% 7.79/5.73 tff(14893,axiom,(nextState(constB195, constB196)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_195')).
% 7.79/5.73 tff(14894,plain,
% 7.79/5.73 (nextState(constB195, constB196)),
% 7.79/5.73 inference(modus_ponens,[status(thm)],[14893, 14892])).
% 7.79/5.73 tff(14895,plain,
% 7.79/5.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB195, constB196)) | (v193(constB196) <=> v191(constB195)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB195, constB196)) | (v193(constB196) <=> v191(constB195)))),
% 7.79/5.73 inference(rewrite,[status(thm)],[])).
% 7.79/5.73 tff(14896,plain,
% 7.79/5.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB195, constB196)) | (v193(constB196) <=> v191(constB195)))),
% 7.79/5.73 inference(quant_inst,[status(thm)],[])).
% 7.79/5.73 tff(14897,plain,
% 7.79/5.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB195, constB196)) | (v193(constB196) <=> v191(constB195))),
% 7.79/5.73 inference(modus_ponens,[status(thm)],[14896, 14895])).
% 7.79/5.73 tff(14898,plain,
% 7.79/5.73 (v193(constB196) <=> v191(constB195)),
% 7.79/5.73 inference(unit_resolution,[status(thm)],[14897, 14894, 70])).
% 7.79/5.73 tff(14899,plain,
% 7.79/5.73 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB195) <=> (v194(constB195) | v198(constB195)))),
% 7.79/5.73 inference(quant_inst,[status(thm)],[])).
% 7.79/5.73 tff(14900,plain,
% 7.79/5.73 (v191(constB195) <=> (v194(constB195) | v198(constB195))),
% 7.79/5.73 inference(unit_resolution,[status(thm)],[14899, 84])).
% 7.79/5.73 tff(14901,plain,
% 7.79/5.73 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB195) <=> (~((~v157(constB195)) | (~v195(constB195)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB195) <=> (~((~v157(constB195)) | (~v195(constB195))))))),
% 7.79/5.73 inference(rewrite,[status(thm)],[])).
% 7.79/5.73 tff(14902,plain,
% 7.79/5.73 ((v194(constB195) <=> (~((~v195(constB195)) | (~v157(constB195))))) <=> (v194(constB195) <=> (~((~v157(constB195)) | (~v195(constB195)))))),
% 7.79/5.73 inference(rewrite,[status(thm)],[])).
% 7.79/5.73 tff(14903,plain,
% 7.79/5.73 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB195) <=> (~((~v195(constB195)) | (~v157(constB195)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB195) <=> (~((~v157(constB195)) | (~v195(constB195))))))),
% 7.79/5.73 inference(monotonicity,[status(thm)],[14902])).
% 7.79/5.73 tff(14904,plain,
% 7.79/5.73 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB195) <=> (~((~v195(constB195)) | (~v157(constB195)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB195) <=> (~((~v157(constB195)) | (~v195(constB195))))))),
% 7.79/5.73 inference(transitivity,[status(thm)],[14903, 14901])).
% 7.79/5.73 tff(14905,plain,
% 7.79/5.73 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB195) <=> (~((~v195(constB195)) | (~v157(constB195)))))),
% 7.79/5.73 inference(quant_inst,[status(thm)],[])).
% 7.79/5.73 tff(14906,plain,
% 7.79/5.73 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB195) <=> (~((~v157(constB195)) | (~v195(constB195)))))),
% 7.79/5.73 inference(modus_ponens,[status(thm)],[14905, 14904])).
% 7.79/5.73 tff(14907,plain,
% 7.79/5.73 (v194(constB195) <=> (~((~v157(constB195)) | (~v195(constB195))))),
% 7.79/5.73 inference(unit_resolution,[status(thm)],[14906, 161])).
% 7.79/5.73 tff(14908,plain,
% 7.79/5.73 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB195)) <=> v196(constB195))),
% 7.79/5.73 inference(quant_inst,[status(thm)],[])).
% 7.79/5.73 tff(14909,plain,
% 7.79/5.73 ((~v195(constB195)) <=> v196(constB195)),
% 7.79/5.73 inference(unit_resolution,[status(thm)],[14908, 193])).
% 7.79/5.73 tff(14910,plain,
% 7.79/5.73 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB195) <=> (v197(constB195) | v26(constB195)))),
% 7.79/5.73 inference(quant_inst,[status(thm)],[])).
% 7.79/5.73 tff(14911,plain,
% 7.79/5.73 (v196(constB195) <=> (v197(constB195) | v26(constB195))),
% 7.79/5.73 inference(unit_resolution,[status(thm)],[14910, 202])).
% 7.79/5.73 tff(14912,plain,
% 7.79/5.73 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB195) <=> (~((~v39(constB195)) | (~v9(constB195)))))),
% 7.79/5.73 inference(quant_inst,[status(thm)],[])).
% 7.79/5.73 tff(14913,plain,
% 7.79/5.73 (v197(constB195) <=> (~((~v39(constB195)) | (~v9(constB195))))),
% 7.79/5.73 inference(unit_resolution,[status(thm)],[14912, 120])).
% 7.79/5.73 tff(14914,plain,
% 7.79/5.73 (((~![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)))),
% 7.79/5.73 inference(rewrite,[status(thm)],[])).
% 7.79/5.73 tff(14915,plain,
% 7.79/5.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB195, constB196)) | (v13(constB196) <=> v9(constB195)))),
% 7.79/5.73 inference(quant_inst,[status(thm)],[])).
% 7.79/5.73 tff(14916,plain,
% 7.79/5.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB195, constB196)) | (v13(constB196) <=> v9(constB195))),
% 7.79/5.73 inference(modus_ponens,[status(thm)],[14915, 14914])).
% 7.79/5.73 tff(14917,plain,
% 7.79/5.73 (v13(constB196) <=> v9(constB195)),
% 7.79/5.73 inference(unit_resolution,[status(thm)],[14916, 14894, 216])).
% 7.79/5.73 tff(14918,plain,
% 7.79/5.73 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB196) <=> v13(constB196))),
% 7.79/5.73 inference(quant_inst,[status(thm)],[])).
% 7.79/5.73 tff(14919,plain,
% 7.79/5.73 (v6(constB196) <=> v13(constB196)),
% 7.79/5.73 inference(unit_resolution,[status(thm)],[14918, 230])).
% 7.79/5.73 tff(14920,plain,
% 7.79/5.73 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB196)) <=> v6(constB196))),
% 7.79/5.73 inference(quant_inst,[status(thm)],[])).
% 7.79/5.73 tff(14921,plain,
% 7.79/5.73 ((~v21(constB196)) <=> v6(constB196)),
% 7.79/5.73 inference(unit_resolution,[status(thm)],[14920, 239])).
% 7.79/5.73 tff(14922,plain,
% 7.79/5.73 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB196) <=> (v20(constB196) | v21(constB196)))),
% 7.79/5.73 inference(quant_inst,[status(thm)],[])).
% 7.79/5.73 tff(14923,plain,
% 7.79/5.73 (v19(constB196) <=> (v20(constB196) | v21(constB196))),
% 7.79/5.73 inference(unit_resolution,[status(thm)],[14922, 248])).
% 7.79/5.73 tff(14924,plain,
% 7.79/5.73 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB196) <=> (~((~v19(constB196)) | (~v22(constB196)))))),
% 7.79/5.73 inference(quant_inst,[status(thm)],[])).
% 7.79/5.73 tff(14925,plain,
% 7.79/5.73 (v18(constB196) <=> (~((~v19(constB196)) | (~v22(constB196))))),
% 7.79/5.73 inference(unit_resolution,[status(thm)],[14924, 260])).
% 7.79/5.73 tff(14926,plain,
% 7.79/5.73 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB196)) <=> v18(constB196))),
% 7.79/5.73 inference(quant_inst,[status(thm)],[])).
% 7.79/5.73 tff(14927,plain,
% 7.79/5.73 ((~v4(constB196)) <=> v18(constB196)),
% 7.79/5.73 inference(unit_resolution,[status(thm)],[14926, 269])).
% 7.79/5.73 tff(14928,plain,
% 7.79/5.73 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB196)),
% 7.79/5.73 inference(quant_inst,[status(thm)],[])).
% 7.79/5.73 tff(14929,plain,
% 7.79/5.73 (v4(constB196)),
% 7.79/5.73 inference(unit_resolution,[status(thm)],[14928, 278])).
% 7.79/5.73 tff(14930,plain,
% 7.79/5.73 ((~((~v4(constB196)) <=> v18(constB196))) | (~v4(constB196)) | (~v18(constB196))),
% 7.79/5.73 inference(tautology,[status(thm)],[])).
% 7.79/5.73 tff(14931,plain,
% 7.79/5.73 (~v18(constB196)),
% 7.79/5.73 inference(unit_resolution,[status(thm)],[14930, 14929, 14927])).
% 7.79/5.73 tff(14932,plain,
% 7.79/5.73 ((~(v18(constB196) <=> (~((~v19(constB196)) | (~v22(constB196)))))) | v18(constB196) | ((~v19(constB196)) | (~v22(constB196)))),
% 7.79/5.73 inference(tautology,[status(thm)],[])).
% 7.79/5.73 tff(14933,plain,
% 7.79/5.73 ((~v19(constB196)) | (~v22(constB196))),
% 7.79/5.73 inference(unit_resolution,[status(thm)],[14932, 14931, 14925])).
% 7.79/5.73 tff(14934,plain,
% 7.79/5.73 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB196) <=> (v1(constB196) | v6(constB196)))),
% 7.79/5.73 inference(quant_inst,[status(thm)],[])).
% 7.79/5.73 tff(14935,plain,
% 7.79/5.73 (v22(constB196) <=> (v1(constB196) | v6(constB196))),
% 7.79/5.73 inference(unit_resolution,[status(thm)],[14934, 291])).
% 7.79/5.73 tff(14936,plain,
% 7.79/5.73 ((v1(constB196) | v6(constB196)) | (~v1(constB196))),
% 7.79/5.73 inference(tautology,[status(thm)],[])).
% 7.79/5.73 tff(14937,plain,
% 7.79/5.73 (v1(constB196) | v6(constB196)),
% 7.79/5.73 inference(unit_resolution,[status(thm)],[14936, 14865])).
% 7.79/5.73 tff(14938,plain,
% 7.79/5.73 ((~(v22(constB196) <=> (v1(constB196) | v6(constB196)))) | v22(constB196) | (~(v1(constB196) | v6(constB196)))),
% 7.79/5.73 inference(tautology,[status(thm)],[])).
% 7.79/5.73 tff(14939,plain,
% 7.79/5.73 ((~(v22(constB196) <=> (v1(constB196) | v6(constB196)))) | v22(constB196)),
% 7.79/5.73 inference(unit_resolution,[status(thm)],[14938, 14937])).
% 7.79/5.73 tff(14940,plain,
% 7.79/5.73 (v22(constB196)),
% 7.79/5.73 inference(unit_resolution,[status(thm)],[14939, 14935])).
% 7.79/5.73 tff(14941,plain,
% 7.79/5.73 ((~((~v19(constB196)) | (~v22(constB196)))) | (~v19(constB196)) | (~v22(constB196))),
% 7.79/5.73 inference(tautology,[status(thm)],[])).
% 7.79/5.73 tff(14942,plain,
% 7.79/5.73 ((~((~v19(constB196)) | (~v22(constB196)))) | (~v19(constB196))),
% 7.79/5.73 inference(unit_resolution,[status(thm)],[14941, 14940])).
% 7.79/5.73 tff(14943,plain,
% 7.79/5.73 (~v19(constB196)),
% 7.79/5.73 inference(unit_resolution,[status(thm)],[14942, 14933])).
% 7.79/5.73 tff(14944,plain,
% 7.79/5.73 ((~(v19(constB196) <=> (v20(constB196) | v21(constB196)))) | v19(constB196) | (~(v20(constB196) | v21(constB196)))),
% 7.79/5.73 inference(tautology,[status(thm)],[])).
% 7.79/5.73 tff(14945,plain,
% 7.79/5.73 (~(v20(constB196) | v21(constB196))),
% 7.79/5.73 inference(unit_resolution,[status(thm)],[14944, 14943, 14923])).
% 7.79/5.73 tff(14946,plain,
% 7.79/5.73 ((v20(constB196) | v21(constB196)) | (~v21(constB196))),
% 7.79/5.73 inference(tautology,[status(thm)],[])).
% 7.79/5.73 tff(14947,plain,
% 7.79/5.73 (~v21(constB196)),
% 7.79/5.73 inference(unit_resolution,[status(thm)],[14946, 14945])).
% 7.79/5.73 tff(14948,plain,
% 7.79/5.73 ((~((~v21(constB196)) <=> v6(constB196))) | v21(constB196) | v6(constB196)),
% 7.79/5.73 inference(tautology,[status(thm)],[])).
% 7.79/5.73 tff(14949,plain,
% 7.79/5.73 (v6(constB196)),
% 7.79/5.73 inference(unit_resolution,[status(thm)],[14948, 14947, 14921])).
% 7.79/5.73 tff(14950,plain,
% 7.79/5.73 ((~(v6(constB196) <=> v13(constB196))) | (~v6(constB196)) | v13(constB196)),
% 7.79/5.73 inference(tautology,[status(thm)],[])).
% 7.79/5.73 tff(14951,plain,
% 7.79/5.73 (v13(constB196)),
% 7.79/5.73 inference(unit_resolution,[status(thm)],[14950, 14949, 14919])).
% 7.79/5.73 tff(14952,plain,
% 7.79/5.73 ((~(v13(constB196) <=> v9(constB195))) | (~v13(constB196)) | v9(constB195)),
% 7.79/5.73 inference(tautology,[status(thm)],[])).
% 7.79/5.73 tff(14953,plain,
% 7.79/5.73 (v9(constB195)),
% 7.79/5.73 inference(unit_resolution,[status(thm)],[14952, 14951, 14917])).
% 7.79/5.73 tff(14954,plain,
% 7.79/5.73 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB195)) <=> v1(constB195))),
% 7.79/5.73 inference(quant_inst,[status(thm)],[])).
% 7.79/5.73 tff(14955,plain,
% 7.79/5.73 ((~v39(constB195)) <=> v1(constB195)),
% 7.79/5.73 inference(unit_resolution,[status(thm)],[14954, 129])).
% 7.79/5.73 tff(14956,plain,
% 7.79/5.73 ((~v1(constB195)) <=> (~v1(constB195))),
% 7.79/5.73 inference(rewrite,[status(thm)],[])).
% 7.79/5.73 tff(14957,axiom,(~v1(constB195)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_195')).
% 7.79/5.73 tff(14958,plain,
% 7.79/5.73 (~v1(constB195)),
% 7.79/5.73 inference(modus_ponens,[status(thm)],[14957, 14956])).
% 7.79/5.73 tff(14959,plain,
% 7.79/5.73 ((~((~v39(constB195)) <=> v1(constB195))) | v39(constB195) | v1(constB195)),
% 7.79/5.73 inference(tautology,[status(thm)],[])).
% 7.79/5.73 tff(14960,plain,
% 7.79/5.73 ((~((~v39(constB195)) <=> v1(constB195))) | v39(constB195)),
% 7.79/5.73 inference(unit_resolution,[status(thm)],[14959, 14958])).
% 7.79/5.73 tff(14961,plain,
% 7.79/5.73 (v39(constB195)),
% 7.79/5.73 inference(unit_resolution,[status(thm)],[14960, 14955])).
% 7.79/5.73 tff(14962,plain,
% 7.79/5.73 ((~((~v39(constB195)) | (~v9(constB195)))) | (~v39(constB195)) | (~v9(constB195))),
% 7.79/5.73 inference(tautology,[status(thm)],[])).
% 7.79/5.73 tff(14963,plain,
% 7.79/5.73 ((~((~v39(constB195)) | (~v9(constB195)))) | (~v9(constB195))),
% 7.79/5.73 inference(unit_resolution,[status(thm)],[14962, 14961])).
% 7.79/5.73 tff(14964,plain,
% 7.79/5.73 (~((~v39(constB195)) | (~v9(constB195)))),
% 7.79/5.73 inference(unit_resolution,[status(thm)],[14963, 14953])).
% 7.79/5.73 tff(14965,plain,
% 7.79/5.73 ((~(v197(constB195) <=> (~((~v39(constB195)) | (~v9(constB195)))))) | v197(constB195) | ((~v39(constB195)) | (~v9(constB195)))),
% 7.79/5.73 inference(tautology,[status(thm)],[])).
% 7.79/5.73 tff(14966,plain,
% 7.79/5.73 (v197(constB195)),
% 7.79/5.73 inference(unit_resolution,[status(thm)],[14965, 14964, 14913])).
% 7.79/5.73 tff(14967,plain,
% 7.79/5.73 ((v197(constB195) | v26(constB195)) | (~v197(constB195))),
% 7.79/5.73 inference(tautology,[status(thm)],[])).
% 7.79/5.73 tff(14968,plain,
% 7.79/5.73 (v197(constB195) | v26(constB195)),
% 7.79/5.73 inference(unit_resolution,[status(thm)],[14967, 14966])).
% 7.79/5.73 tff(14969,plain,
% 7.79/5.73 ((~(v196(constB195) <=> (v197(constB195) | v26(constB195)))) | v196(constB195) | (~(v197(constB195) | v26(constB195)))),
% 7.79/5.73 inference(tautology,[status(thm)],[])).
% 7.79/5.73 tff(14970,plain,
% 7.79/5.73 (v196(constB195)),
% 7.79/5.73 inference(unit_resolution,[status(thm)],[14969, 14968, 14911])).
% 7.79/5.73 tff(14971,plain,
% 7.79/5.73 ((~((~v195(constB195)) <=> v196(constB195))) | (~v195(constB195)) | (~v196(constB195))),
% 7.79/5.73 inference(tautology,[status(thm)],[])).
% 7.79/5.73 tff(14972,plain,
% 7.79/5.73 (~v195(constB195)),
% 7.79/5.73 inference(unit_resolution,[status(thm)],[14971, 14970, 14909])).
% 7.79/5.73 tff(14973,plain,
% 7.79/5.73 (((~v157(constB195)) | (~v195(constB195))) | v195(constB195)),
% 7.79/5.73 inference(tautology,[status(thm)],[])).
% 7.79/5.73 tff(14974,plain,
% 7.79/5.73 ((~v157(constB195)) | (~v195(constB195))),
% 7.79/5.73 inference(unit_resolution,[status(thm)],[14973, 14972])).
% 7.79/5.73 tff(14975,plain,
% 7.79/5.73 ((~(v194(constB195) <=> (~((~v157(constB195)) | (~v195(constB195)))))) | (~v194(constB195)) | (~((~v157(constB195)) | (~v195(constB195))))),
% 7.79/5.73 inference(tautology,[status(thm)],[])).
% 7.79/5.73 tff(14976,plain,
% 7.79/5.73 (~v194(constB195)),
% 7.79/5.73 inference(unit_resolution,[status(thm)],[14975, 14974, 14907])).
% 7.79/5.73 tff(14977,plain,
% 7.79/5.73 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB195) <=> (~((~v199(constB195)) | (~v200(constB195)))))),
% 7.79/5.73 inference(quant_inst,[status(thm)],[])).
% 7.79/5.73 tff(14978,plain,
% 7.79/5.73 (v198(constB195) <=> (~((~v199(constB195)) | (~v200(constB195))))),
% 7.79/5.73 inference(unit_resolution,[status(thm)],[14977, 96])).
% 7.79/5.73 tff(14979,plain,
% 7.79/5.73 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB195) <=> (~((~v197(constB195)) | (~v201(constB195)))))),
% 7.79/5.73 inference(quant_inst,[status(thm)],[])).
% 7.79/5.73 tff(14980,plain,
% 7.79/5.73 (v200(constB195) <=> (~((~v197(constB195)) | (~v201(constB195))))),
% 7.79/5.73 inference(unit_resolution,[status(thm)],[14979, 108])).
% 7.79/5.73 tff(14981,plain,
% 7.79/5.73 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB195) <=> (~((~v159(constB195)) | (~v161(constB195)))))),
% 7.79/5.73 inference(quant_inst,[status(thm)],[])).
% 7.79/5.73 tff(14982,plain,
% 7.79/5.73 (v201(constB195) <=> (~((~v159(constB195)) | (~v161(constB195))))),
% 7.79/5.73 inference(unit_resolution,[status(thm)],[14981, 348])).
% 7.79/5.73 tff(14983,plain,
% 7.79/5.73 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB195) <=> v163(constB195))),
% 7.79/5.73 inference(quant_inst,[status(thm)],[])).
% 7.79/5.73 tff(14984,plain,
% 7.79/5.73 (v161(constB195) <=> v163(constB195)),
% 7.79/5.73 inference(unit_resolution,[status(thm)],[14983, 357])).
% 7.79/5.73 tff(14985,plain,
% 7.79/5.73 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB195) <=> (v145(constB195) | v167(constB195)))),
% 7.79/5.73 inference(quant_inst,[status(thm)],[])).
% 7.79/5.73 tff(14986,plain,
% 7.79/5.73 (v166(constB195) <=> (v145(constB195) | v167(constB195))),
% 7.79/5.73 inference(unit_resolution,[status(thm)],[14985, 369])).
% 7.79/5.73 tff(14987,plain,
% 7.79/5.73 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB195) <=> (v142(constB195) | v168(constB195)))),
% 7.79/5.73 inference(quant_inst,[status(thm)],[])).
% 7.79/5.73 tff(14988,plain,
% 7.79/5.73 (v167(constB195) <=> (v142(constB195) | v168(constB195))),
% 7.79/5.73 inference(unit_resolution,[status(thm)],[14987, 381])).
% 7.79/5.73 tff(14989,plain,
% 7.79/5.73 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB195) <=> (v143(constB195) | v144(constB195)))),
% 7.79/5.73 inference(quant_inst,[status(thm)],[])).
% 7.79/5.73 tff(14990,plain,
% 7.79/5.73 (v142(constB195) <=> (v143(constB195) | v144(constB195))),
% 7.79/5.73 inference(unit_resolution,[status(thm)],[14989, 10332])).
% 7.79/5.73 tff(14991,plain,
% 7.79/5.73 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB195) <=> (~((~v88(constB195, bitIndex1)) | (~v88(constB195, bitIndex2)) | v88(constB195, bitIndex0))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB195) <=> (~((~v88(constB195, bitIndex1)) | (~v88(constB195, bitIndex2)) | v88(constB195, bitIndex0)))))),
% 7.79/5.73 inference(rewrite,[status(thm)],[])).
% 7.79/5.73 tff(14992,plain,
% 7.79/5.73 ((v144(constB195) <=> (~(v88(constB195, bitIndex0) | (~v88(constB195, bitIndex1)) | (~v88(constB195, bitIndex2))))) <=> (v144(constB195) <=> (~((~v88(constB195, bitIndex1)) | (~v88(constB195, bitIndex2)) | v88(constB195, bitIndex0))))),
% 7.79/5.73 inference(rewrite,[status(thm)],[])).
% 7.79/5.73 tff(14993,plain,
% 7.79/5.73 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB195) <=> (~(v88(constB195, bitIndex0) | (~v88(constB195, bitIndex1)) | (~v88(constB195, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB195) <=> (~((~v88(constB195, bitIndex1)) | (~v88(constB195, bitIndex2)) | v88(constB195, bitIndex0)))))),
% 7.79/5.73 inference(monotonicity,[status(thm)],[14992])).
% 7.79/5.73 tff(14994,plain,
% 7.79/5.73 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB195) <=> (~(v88(constB195, bitIndex0) | (~v88(constB195, bitIndex1)) | (~v88(constB195, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB195) <=> (~((~v88(constB195, bitIndex1)) | (~v88(constB195, bitIndex2)) | v88(constB195, bitIndex0)))))),
% 7.79/5.73 inference(transitivity,[status(thm)],[14993, 14991])).
% 7.79/5.73 tff(14995,plain,
% 7.79/5.73 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB195) <=> (~(v88(constB195, bitIndex0) | (~v88(constB195, bitIndex1)) | (~v88(constB195, bitIndex2)))))),
% 7.79/5.73 inference(quant_inst,[status(thm)],[])).
% 7.79/5.73 tff(14996,plain,
% 7.79/5.73 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB195) <=> (~((~v88(constB195, bitIndex1)) | (~v88(constB195, bitIndex2)) | v88(constB195, bitIndex0))))),
% 7.79/5.73 inference(modus_ponens,[status(thm)],[14995, 14994])).
% 7.79/5.73 tff(14997,plain,
% 7.79/5.73 (v144(constB195) <=> (~((~v88(constB195, bitIndex1)) | (~v88(constB195, bitIndex2)) | v88(constB195, bitIndex0)))),
% 7.79/5.73 inference(unit_resolution,[status(thm)],[14996, 10347])).
% 7.79/5.73 tff(14998,plain,
% 7.79/5.73 ((~![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))) | (~(((~v88(constB195, bitIndex1)) <=> v90(constB195, bitIndex1)) | ((~v88(constB195, bitIndex2)) <=> v90(constB195, bitIndex2)) | ((~v88(constB195, bitIndex0)) <=> v90(constB195, bitIndex0))))),
% 7.79/5.73 inference(quant_inst,[status(thm)],[])).
% 7.79/5.73 tff(14999,plain,
% 7.79/5.73 (~(((~v88(constB195, bitIndex1)) <=> v90(constB195, bitIndex1)) | ((~v88(constB195, bitIndex2)) <=> v90(constB195, bitIndex2)) | ((~v88(constB195, bitIndex0)) <=> v90(constB195, bitIndex0)))),
% 7.79/5.73 inference(unit_resolution,[status(thm)],[14998, 428])).
% 7.79/5.73 tff(15000,plain,
% 7.79/5.73 ((((~v88(constB195, bitIndex1)) <=> v90(constB195, bitIndex1)) | ((~v88(constB195, bitIndex2)) <=> v90(constB195, bitIndex2)) | ((~v88(constB195, bitIndex0)) <=> v90(constB195, bitIndex0))) | (~((~v88(constB195, bitIndex2)) <=> v90(constB195, bitIndex2)))),
% 7.79/5.73 inference(tautology,[status(thm)],[])).
% 7.79/5.73 tff(15001,plain,
% 7.79/5.73 (~((~v88(constB195, bitIndex2)) <=> v90(constB195, bitIndex2))),
% 7.79/5.73 inference(unit_resolution,[status(thm)],[15000, 14999])).
% 7.79/5.73 tff(15002,plain,
% 7.79/5.73 (nextState(constB194, constB195) <=> nextState(constB194, constB195)),
% 7.79/5.73 inference(rewrite,[status(thm)],[])).
% 7.79/5.73 tff(15003,axiom,(nextState(constB194, constB195)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_194')).
% 7.79/5.73 tff(15004,plain,
% 7.79/5.73 (nextState(constB194, constB195)),
% 7.79/5.73 inference(modus_ponens,[status(thm)],[15003, 15002])).
% 7.79/5.73 tff(15005,plain,
% 7.79/5.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB194, constB195)) | (v100(constB195) <=> (~((~v101(constB195)) | (~v110(constB195))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB194, constB195)) | (v100(constB195) <=> (~((~v101(constB195)) | (~v110(constB195))))))),
% 7.79/5.73 inference(rewrite,[status(thm)],[])).
% 7.79/5.73 tff(15006,plain,
% 7.79/5.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB194, constB195)) | (v100(constB195) <=> (~((~v101(constB195)) | (~v110(constB195))))))),
% 7.79/5.73 inference(quant_inst,[status(thm)],[])).
% 7.79/5.73 tff(15007,plain,
% 7.79/5.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB194, constB195)) | (v100(constB195) <=> (~((~v101(constB195)) | (~v110(constB195)))))),
% 7.79/5.73 inference(modus_ponens,[status(thm)],[15006, 15005])).
% 7.79/5.73 tff(15008,plain,
% 7.79/5.73 (v100(constB195) <=> (~((~v101(constB195)) | (~v110(constB195))))),
% 7.79/5.73 inference(unit_resolution,[status(thm)],[15007, 15004, 445])).
% 7.79/5.73 tff(15009,plain,
% 7.79/5.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB194, constB195)) | (v101(constB195) <=> (~((~v1(constB195)) | (~v102(constB195))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB194, constB195)) | (v101(constB195) <=> (~((~v1(constB195)) | (~v102(constB195))))))),
% 7.79/5.73 inference(rewrite,[status(thm)],[])).
% 7.79/5.73 tff(15010,plain,
% 7.79/5.73 (((~nextState(constB194, constB195)) | (v101(constB195) <=> (~((~v102(constB195)) | (~v1(constB195)))))) <=> ((~nextState(constB194, constB195)) | (v101(constB195) <=> (~((~v1(constB195)) | (~v102(constB195))))))),
% 7.79/5.73 inference(rewrite,[status(thm)],[])).
% 7.79/5.73 tff(15011,plain,
% 7.79/5.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB194, constB195)) | (v101(constB195) <=> (~((~v102(constB195)) | (~v1(constB195))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB194, constB195)) | (v101(constB195) <=> (~((~v1(constB195)) | (~v102(constB195)))))))),
% 7.79/5.73 inference(monotonicity,[status(thm)],[15010])).
% 7.79/5.73 tff(15012,plain,
% 7.79/5.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB194, constB195)) | (v101(constB195) <=> (~((~v102(constB195)) | (~v1(constB195))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB194, constB195)) | (v101(constB195) <=> (~((~v1(constB195)) | (~v102(constB195))))))),
% 7.79/5.73 inference(transitivity,[status(thm)],[15011, 15009])).
% 7.79/5.73 tff(15013,plain,
% 7.79/5.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB194, constB195)) | (v101(constB195) <=> (~((~v102(constB195)) | (~v1(constB195))))))),
% 7.79/5.73 inference(quant_inst,[status(thm)],[])).
% 7.79/5.73 tff(15014,plain,
% 7.79/5.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB194, constB195)) | (v101(constB195) <=> (~((~v1(constB195)) | (~v102(constB195)))))),
% 7.79/5.73 inference(modus_ponens,[status(thm)],[15013, 15012])).
% 7.79/5.73 tff(15015,plain,
% 7.79/5.73 (v101(constB195) <=> (~((~v1(constB195)) | (~v102(constB195))))),
% 7.79/5.73 inference(unit_resolution,[status(thm)],[15014, 15004, 465])).
% 7.79/5.73 tff(15016,plain,
% 7.79/5.73 (((~v1(constB195)) | (~v102(constB195))) | v1(constB195)),
% 7.79/5.73 inference(tautology,[status(thm)],[])).
% 7.79/5.73 tff(15017,plain,
% 7.79/5.73 ((~v1(constB195)) | (~v102(constB195))),
% 7.79/5.73 inference(unit_resolution,[status(thm)],[15016, 14958])).
% 7.79/5.73 tff(15018,plain,
% 7.79/5.73 ((~(v101(constB195) <=> (~((~v1(constB195)) | (~v102(constB195)))))) | (~v101(constB195)) | (~((~v1(constB195)) | (~v102(constB195))))),
% 7.79/5.73 inference(tautology,[status(thm)],[])).
% 7.79/5.73 tff(15019,plain,
% 7.79/5.73 ((~(v101(constB195) <=> (~((~v1(constB195)) | (~v102(constB195)))))) | (~v101(constB195))),
% 7.79/5.73 inference(unit_resolution,[status(thm)],[15018, 15017])).
% 7.79/5.73 tff(15020,plain,
% 7.79/5.73 (~v101(constB195)),
% 7.79/5.73 inference(unit_resolution,[status(thm)],[15019, 15015])).
% 7.79/5.73 tff(15021,plain,
% 7.79/5.73 (((~v101(constB195)) | (~v110(constB195))) | v101(constB195)),
% 7.79/5.73 inference(tautology,[status(thm)],[])).
% 7.79/5.73 tff(15022,plain,
% 7.79/5.73 ((~v101(constB195)) | (~v110(constB195))),
% 7.79/5.73 inference(unit_resolution,[status(thm)],[15021, 15020])).
% 7.79/5.73 tff(15023,plain,
% 7.79/5.73 ((~(v100(constB195) <=> (~((~v101(constB195)) | (~v110(constB195)))))) | (~v100(constB195)) | (~((~v101(constB195)) | (~v110(constB195))))),
% 7.79/5.73 inference(tautology,[status(thm)],[])).
% 7.79/5.73 tff(15024,plain,
% 7.79/5.73 (~v100(constB195)),
% 7.79/5.73 inference(unit_resolution,[status(thm)],[15023, 15022, 15008])).
% 7.79/5.73 tff(15025,plain,
% 7.79/5.73 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB195) | (~nextState(constB194, constB195)) | (~(((~v90(constB195, bitIndex1)) <=> v90(constB194, bitIndex1)) | ((~v90(constB195, bitIndex2)) <=> v90(constB194, bitIndex2)) | ((~v90(constB195, bitIndex0)) <=> v90(constB194, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB195) | (~nextState(constB194, constB195)) | (~(((~v90(constB195, bitIndex1)) <=> v90(constB194, bitIndex1)) | ((~v90(constB195, bitIndex2)) <=> v90(constB194, bitIndex2)) | ((~v90(constB195, bitIndex0)) <=> v90(constB194, bitIndex0)))))),
% 7.79/5.73 inference(rewrite,[status(thm)],[])).
% 7.79/5.73 tff(15026,plain,
% 7.79/5.73 ((v100(constB195) | (~nextState(constB194, constB195)) | (~(((~v90(constB195, bitIndex2)) <=> v90(constB194, bitIndex2)) | ((~v90(constB195, bitIndex1)) <=> v90(constB194, bitIndex1)) | ((~v90(constB195, bitIndex0)) <=> v90(constB194, bitIndex0))))) <=> (v100(constB195) | (~nextState(constB194, constB195)) | (~(((~v90(constB195, bitIndex1)) <=> v90(constB194, bitIndex1)) | ((~v90(constB195, bitIndex2)) <=> v90(constB194, bitIndex2)) | ((~v90(constB195, bitIndex0)) <=> v90(constB194, bitIndex0)))))),
% 7.79/5.73 inference(rewrite,[status(thm)],[])).
% 7.79/5.73 tff(15027,plain,
% 7.79/5.73 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB195) | (~nextState(constB194, constB195)) | (~(((~v90(constB195, bitIndex2)) <=> v90(constB194, bitIndex2)) | ((~v90(constB195, bitIndex1)) <=> v90(constB194, bitIndex1)) | ((~v90(constB195, bitIndex0)) <=> v90(constB194, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB195) | (~nextState(constB194, constB195)) | (~(((~v90(constB195, bitIndex1)) <=> v90(constB194, bitIndex1)) | ((~v90(constB195, bitIndex2)) <=> v90(constB194, bitIndex2)) | ((~v90(constB195, bitIndex0)) <=> v90(constB194, bitIndex0))))))),
% 7.79/5.73 inference(monotonicity,[status(thm)],[15026])).
% 7.79/5.73 tff(15028,plain,
% 7.79/5.73 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB195) | (~nextState(constB194, constB195)) | (~(((~v90(constB195, bitIndex2)) <=> v90(constB194, bitIndex2)) | ((~v90(constB195, bitIndex1)) <=> v90(constB194, bitIndex1)) | ((~v90(constB195, bitIndex0)) <=> v90(constB194, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB195) | (~nextState(constB194, constB195)) | (~(((~v90(constB195, bitIndex1)) <=> v90(constB194, bitIndex1)) | ((~v90(constB195, bitIndex2)) <=> v90(constB194, bitIndex2)) | ((~v90(constB195, bitIndex0)) <=> v90(constB194, bitIndex0)))))),
% 7.79/5.73 inference(transitivity,[status(thm)],[15027, 15025])).
% 7.79/5.73 tff(15029,plain,
% 7.79/5.73 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB195) | (~nextState(constB194, constB195)) | (~(((~v90(constB195, bitIndex2)) <=> v90(constB194, bitIndex2)) | ((~v90(constB195, bitIndex1)) <=> v90(constB194, bitIndex1)) | ((~v90(constB195, bitIndex0)) <=> v90(constB194, bitIndex0)))))),
% 7.79/5.73 inference(quant_inst,[status(thm)],[])).
% 7.79/5.73 tff(15030,plain,
% 7.79/5.73 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB195) | (~nextState(constB194, constB195)) | (~(((~v90(constB195, bitIndex1)) <=> v90(constB194, bitIndex1)) | ((~v90(constB195, bitIndex2)) <=> v90(constB194, bitIndex2)) | ((~v90(constB195, bitIndex0)) <=> v90(constB194, bitIndex0))))),
% 7.79/5.73 inference(modus_ponens,[status(thm)],[15029, 15028])).
% 7.79/5.74 tff(15031,plain,
% 7.79/5.74 (v100(constB195) | (~(((~v90(constB195, bitIndex1)) <=> v90(constB194, bitIndex1)) | ((~v90(constB195, bitIndex2)) <=> v90(constB194, bitIndex2)) | ((~v90(constB195, bitIndex0)) <=> v90(constB194, bitIndex0))))),
% 7.79/5.74 inference(unit_resolution,[status(thm)],[15030, 15004, 494])).
% 7.79/5.74 tff(15032,plain,
% 7.79/5.74 (~(((~v90(constB195, bitIndex1)) <=> v90(constB194, bitIndex1)) | ((~v90(constB195, bitIndex2)) <=> v90(constB194, bitIndex2)) | ((~v90(constB195, bitIndex0)) <=> v90(constB194, bitIndex0)))),
% 7.79/5.74 inference(unit_resolution,[status(thm)],[15031, 15024])).
% 7.79/5.74 tff(15033,plain,
% 7.79/5.74 ((((~v90(constB195, bitIndex1)) <=> v90(constB194, bitIndex1)) | ((~v90(constB195, bitIndex2)) <=> v90(constB194, bitIndex2)) | ((~v90(constB195, bitIndex0)) <=> v90(constB194, bitIndex0))) | (~((~v90(constB195, bitIndex2)) <=> v90(constB194, bitIndex2)))),
% 7.79/5.74 inference(tautology,[status(thm)],[])).
% 7.79/5.74 tff(15034,plain,
% 7.79/5.74 (~((~v90(constB195, bitIndex2)) <=> v90(constB194, bitIndex2))),
% 7.79/5.74 inference(unit_resolution,[status(thm)],[15033, 15032])).
% 7.79/5.74 tff(15035,plain,
% 7.79/5.74 (nextState(constB193, constB194) <=> nextState(constB193, constB194)),
% 7.79/5.74 inference(rewrite,[status(thm)],[])).
% 7.79/5.74 tff(15036,axiom,(nextState(constB193, constB194)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_193')).
% 7.79/5.74 tff(15037,plain,
% 7.79/5.74 (nextState(constB193, constB194)),
% 7.79/5.74 inference(modus_ponens,[status(thm)],[15036, 15035])).
% 7.79/5.74 tff(15038,plain,
% 7.79/5.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB193, constB194)) | (~(((~v129(constB194, bitIndex2)) <=> v127(constB193, bitIndex2)) | ((~v129(constB194, bitIndex1)) <=> v127(constB193, bitIndex1)) | ((~v129(constB194, bitIndex0)) <=> v127(constB193, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB193, constB194)) | (~(((~v129(constB194, bitIndex2)) <=> v127(constB193, bitIndex2)) | ((~v129(constB194, bitIndex1)) <=> v127(constB193, bitIndex1)) | ((~v129(constB194, bitIndex0)) <=> v127(constB193, bitIndex0)))))),
% 7.79/5.74 inference(rewrite,[status(thm)],[])).
% 7.79/5.74 tff(15039,plain,
% 7.79/5.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB193, constB194)) | (~(((~v129(constB194, bitIndex2)) <=> v127(constB193, bitIndex2)) | ((~v129(constB194, bitIndex1)) <=> v127(constB193, bitIndex1)) | ((~v129(constB194, bitIndex0)) <=> v127(constB193, bitIndex0)))))),
% 7.79/5.74 inference(quant_inst,[status(thm)],[])).
% 7.79/5.74 tff(15040,plain,
% 7.79/5.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB193, constB194)) | (~(((~v129(constB194, bitIndex2)) <=> v127(constB193, bitIndex2)) | ((~v129(constB194, bitIndex1)) <=> v127(constB193, bitIndex1)) | ((~v129(constB194, bitIndex0)) <=> v127(constB193, bitIndex0))))),
% 7.79/5.74 inference(modus_ponens,[status(thm)],[15039, 15038])).
% 7.79/5.74 tff(15041,plain,
% 7.79/5.74 (~(((~v129(constB194, bitIndex2)) <=> v127(constB193, bitIndex2)) | ((~v129(constB194, bitIndex1)) <=> v127(constB193, bitIndex1)) | ((~v129(constB194, bitIndex0)) <=> v127(constB193, bitIndex0)))),
% 7.79/5.74 inference(unit_resolution,[status(thm)],[15040, 15037, 517])).
% 7.79/5.74 tff(15042,plain,
% 7.79/5.74 ((((~v129(constB194, bitIndex2)) <=> v127(constB193, bitIndex2)) | ((~v129(constB194, bitIndex1)) <=> v127(constB193, bitIndex1)) | ((~v129(constB194, bitIndex0)) <=> v127(constB193, bitIndex0))) | (~((~v129(constB194, bitIndex2)) <=> v127(constB193, bitIndex2)))),
% 7.79/5.74 inference(tautology,[status(thm)],[])).
% 7.79/5.74 tff(15043,plain,
% 7.79/5.74 (~((~v129(constB194, bitIndex2)) <=> v127(constB193, bitIndex2))),
% 7.79/5.74 inference(unit_resolution,[status(thm)],[15042, 15041])).
% 7.79/5.74 tff(15044,plain,
% 7.79/5.74 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB193) <=> v26(constB193))),
% 7.79/5.74 inference(quant_inst,[status(thm)],[])).
% 7.79/5.74 tff(15045,plain,
% 7.79/5.74 (v111(constB193) <=> v26(constB193)),
% 7.79/5.74 inference(unit_resolution,[status(thm)],[15044, 536])).
% 7.79/5.74 tff(15046,plain,
% 7.79/5.74 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB193))),
% 7.79/5.74 inference(quant_inst,[status(thm)],[])).
% 7.79/5.74 tff(15047,plain,
% 7.79/5.74 (~v26(constB193)),
% 7.79/5.74 inference(unit_resolution,[status(thm)],[15046, 548])).
% 7.79/5.74 tff(15048,plain,
% 7.79/5.74 ((~(v111(constB193) <=> v26(constB193))) | (~v111(constB193)) | v26(constB193)),
% 7.79/5.74 inference(tautology,[status(thm)],[])).
% 7.79/5.74 tff(15049,plain,
% 7.79/5.74 ((~(v111(constB193) <=> v26(constB193))) | (~v111(constB193))),
% 7.79/5.74 inference(unit_resolution,[status(thm)],[15048, 15047])).
% 7.79/5.74 tff(15050,plain,
% 7.79/5.74 (~v111(constB193)),
% 7.79/5.74 inference(unit_resolution,[status(thm)],[15049, 15045])).
% 7.79/5.74 tff(15051,plain,
% 7.79/5.74 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB193) | (~(((~v127(constB193, bitIndex2)) <=> v130(constB193, bitIndex2)) | ((~v127(constB193, bitIndex1)) <=> v130(constB193, bitIndex1)) | ((~v127(constB193, bitIndex0)) <=> v130(constB193, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB193) | (~(((~v127(constB193, bitIndex2)) <=> v130(constB193, bitIndex2)) | ((~v127(constB193, bitIndex1)) <=> v130(constB193, bitIndex1)) | ((~v127(constB193, bitIndex0)) <=> v130(constB193, bitIndex0)))))),
% 7.79/5.74 inference(rewrite,[status(thm)],[])).
% 7.79/5.74 tff(15052,plain,
% 7.79/5.74 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB193) | (~(((~v127(constB193, bitIndex2)) <=> v130(constB193, bitIndex2)) | ((~v127(constB193, bitIndex1)) <=> v130(constB193, bitIndex1)) | ((~v127(constB193, bitIndex0)) <=> v130(constB193, bitIndex0)))))),
% 7.79/5.74 inference(quant_inst,[status(thm)],[])).
% 7.79/5.74 tff(15053,plain,
% 7.79/5.74 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB193) | (~(((~v127(constB193, bitIndex2)) <=> v130(constB193, bitIndex2)) | ((~v127(constB193, bitIndex1)) <=> v130(constB193, bitIndex1)) | ((~v127(constB193, bitIndex0)) <=> v130(constB193, bitIndex0))))),
% 7.79/5.74 inference(modus_ponens,[status(thm)],[15052, 15051])).
% 7.79/5.74 tff(15054,plain,
% 7.79/5.74 (v111(constB193) | (~(((~v127(constB193, bitIndex2)) <=> v130(constB193, bitIndex2)) | ((~v127(constB193, bitIndex1)) <=> v130(constB193, bitIndex1)) | ((~v127(constB193, bitIndex0)) <=> v130(constB193, bitIndex0))))),
% 7.79/5.74 inference(unit_resolution,[status(thm)],[15053, 566])).
% 7.79/5.74 tff(15055,plain,
% 7.79/5.74 (~(((~v127(constB193, bitIndex2)) <=> v130(constB193, bitIndex2)) | ((~v127(constB193, bitIndex1)) <=> v130(constB193, bitIndex1)) | ((~v127(constB193, bitIndex0)) <=> v130(constB193, bitIndex0)))),
% 7.79/5.74 inference(unit_resolution,[status(thm)],[15054, 15050])).
% 7.79/5.74 tff(15056,plain,
% 7.79/5.74 ((((~v127(constB193, bitIndex2)) <=> v130(constB193, bitIndex2)) | ((~v127(constB193, bitIndex1)) <=> v130(constB193, bitIndex1)) | ((~v127(constB193, bitIndex0)) <=> v130(constB193, bitIndex0))) | (~((~v127(constB193, bitIndex2)) <=> v130(constB193, bitIndex2)))),
% 7.79/5.74 inference(tautology,[status(thm)],[])).
% 7.79/5.74 tff(15057,plain,
% 7.79/5.74 (~((~v127(constB193, bitIndex2)) <=> v130(constB193, bitIndex2))),
% 7.79/5.74 inference(unit_resolution,[status(thm)],[15056, 15055])).
% 7.79/5.74 tff(15058,plain,
% 7.79/5.74 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB193) <=> (~(v90(constB193, bitIndex1) | v90(constB193, bitIndex0) | (~v90(constB193, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB193) <=> (~(v90(constB193, bitIndex1) | v90(constB193, bitIndex0) | (~v90(constB193, bitIndex2))))))),
% 7.79/5.74 inference(rewrite,[status(thm)],[])).
% 7.79/5.74 tff(15059,plain,
% 7.79/5.74 ((v123(constB193) <=> (~(v90(constB193, bitIndex0) | v90(constB193, bitIndex1) | (~v90(constB193, bitIndex2))))) <=> (v123(constB193) <=> (~(v90(constB193, bitIndex1) | v90(constB193, bitIndex0) | (~v90(constB193, bitIndex2)))))),
% 7.79/5.74 inference(rewrite,[status(thm)],[])).
% 7.79/5.74 tff(15060,plain,
% 7.79/5.74 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB193) <=> (~(v90(constB193, bitIndex0) | v90(constB193, bitIndex1) | (~v90(constB193, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB193) <=> (~(v90(constB193, bitIndex1) | v90(constB193, bitIndex0) | (~v90(constB193, bitIndex2))))))),
% 7.79/5.74 inference(monotonicity,[status(thm)],[15059])).
% 7.79/5.74 tff(15061,plain,
% 7.79/5.74 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB193) <=> (~(v90(constB193, bitIndex0) | v90(constB193, bitIndex1) | (~v90(constB193, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB193) <=> (~(v90(constB193, bitIndex1) | v90(constB193, bitIndex0) | (~v90(constB193, bitIndex2))))))),
% 7.79/5.74 inference(transitivity,[status(thm)],[15060, 15058])).
% 7.79/5.74 tff(15062,plain,
% 7.79/5.74 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB193) <=> (~(v90(constB193, bitIndex0) | v90(constB193, bitIndex1) | (~v90(constB193, bitIndex2)))))),
% 7.79/5.74 inference(quant_inst,[status(thm)],[])).
% 7.79/5.74 tff(15063,plain,
% 7.79/5.74 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB193) <=> (~(v90(constB193, bitIndex1) | v90(constB193, bitIndex0) | (~v90(constB193, bitIndex2)))))),
% 7.79/5.74 inference(modus_ponens,[status(thm)],[15062, 15061])).
% 7.79/5.74 tff(15064,plain,
% 7.79/5.74 (v123(constB193) <=> (~(v90(constB193, bitIndex1) | v90(constB193, bitIndex0) | (~v90(constB193, bitIndex2))))),
% 7.79/5.74 inference(unit_resolution,[status(thm)],[15063, 800])).
% 7.79/5.74 tff(15065,plain,
% 7.79/5.74 (nextState(constB192, constB193) <=> nextState(constB192, constB193)),
% 7.79/5.74 inference(rewrite,[status(thm)],[])).
% 7.79/5.74 tff(15066,axiom,(nextState(constB192, constB193)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_192')).
% 7.79/5.74 tff(15067,plain,
% 7.79/5.74 (nextState(constB192, constB193)),
% 7.79/5.74 inference(modus_ponens,[status(thm)],[15066, 15065])).
% 7.79/5.74 tff(15068,plain,
% 7.79/5.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB192, constB193)) | (v100(constB193) <=> (~((~v101(constB193)) | (~v110(constB193))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB192, constB193)) | (v100(constB193) <=> (~((~v101(constB193)) | (~v110(constB193))))))),
% 7.79/5.74 inference(rewrite,[status(thm)],[])).
% 7.79/5.74 tff(15069,plain,
% 7.79/5.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB192, constB193)) | (v100(constB193) <=> (~((~v101(constB193)) | (~v110(constB193))))))),
% 7.79/5.74 inference(quant_inst,[status(thm)],[])).
% 7.79/5.74 tff(15070,plain,
% 7.79/5.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB192, constB193)) | (v100(constB193) <=> (~((~v101(constB193)) | (~v110(constB193)))))),
% 7.79/5.74 inference(modus_ponens,[status(thm)],[15069, 15068])).
% 7.79/5.74 tff(15071,plain,
% 7.79/5.74 (v100(constB193) <=> (~((~v101(constB193)) | (~v110(constB193))))),
% 7.79/5.74 inference(unit_resolution,[status(thm)],[15070, 15067, 445])).
% 7.79/5.74 tff(15072,plain,
% 7.79/5.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB192, constB193)) | (v101(constB193) <=> (~((~v1(constB193)) | (~v102(constB193))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB192, constB193)) | (v101(constB193) <=> (~((~v1(constB193)) | (~v102(constB193))))))),
% 7.79/5.74 inference(rewrite,[status(thm)],[])).
% 7.79/5.74 tff(15073,plain,
% 7.79/5.74 (((~nextState(constB192, constB193)) | (v101(constB193) <=> (~((~v102(constB193)) | (~v1(constB193)))))) <=> ((~nextState(constB192, constB193)) | (v101(constB193) <=> (~((~v1(constB193)) | (~v102(constB193))))))),
% 7.79/5.74 inference(rewrite,[status(thm)],[])).
% 7.79/5.74 tff(15074,plain,
% 7.79/5.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB192, constB193)) | (v101(constB193) <=> (~((~v102(constB193)) | (~v1(constB193))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB192, constB193)) | (v101(constB193) <=> (~((~v1(constB193)) | (~v102(constB193)))))))),
% 7.79/5.74 inference(monotonicity,[status(thm)],[15073])).
% 7.79/5.74 tff(15075,plain,
% 7.79/5.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB192, constB193)) | (v101(constB193) <=> (~((~v102(constB193)) | (~v1(constB193))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB192, constB193)) | (v101(constB193) <=> (~((~v1(constB193)) | (~v102(constB193))))))),
% 7.79/5.74 inference(transitivity,[status(thm)],[15074, 15072])).
% 7.79/5.74 tff(15076,plain,
% 7.79/5.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB192, constB193)) | (v101(constB193) <=> (~((~v102(constB193)) | (~v1(constB193))))))),
% 7.79/5.74 inference(quant_inst,[status(thm)],[])).
% 7.79/5.74 tff(15077,plain,
% 7.79/5.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB192, constB193)) | (v101(constB193) <=> (~((~v1(constB193)) | (~v102(constB193)))))),
% 7.79/5.74 inference(modus_ponens,[status(thm)],[15076, 15075])).
% 7.79/5.74 tff(15078,plain,
% 7.79/5.74 (v101(constB193) <=> (~((~v1(constB193)) | (~v102(constB193))))),
% 7.79/5.74 inference(unit_resolution,[status(thm)],[15077, 15067, 465])).
% 7.79/5.74 tff(15079,plain,
% 7.79/5.74 ((~v1(constB193)) <=> (~v1(constB193))),
% 7.79/5.74 inference(rewrite,[status(thm)],[])).
% 7.79/5.74 tff(15080,axiom,(~v1(constB193)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_193')).
% 7.79/5.74 tff(15081,plain,
% 7.79/5.74 (~v1(constB193)),
% 7.79/5.74 inference(modus_ponens,[status(thm)],[15080, 15079])).
% 7.79/5.74 tff(15082,plain,
% 7.79/5.74 (((~v1(constB193)) | (~v102(constB193))) | v1(constB193)),
% 7.79/5.74 inference(tautology,[status(thm)],[])).
% 7.79/5.74 tff(15083,plain,
% 7.79/5.74 ((~v1(constB193)) | (~v102(constB193))),
% 7.79/5.74 inference(unit_resolution,[status(thm)],[15082, 15081])).
% 7.79/5.74 tff(15084,plain,
% 7.79/5.74 ((~(v101(constB193) <=> (~((~v1(constB193)) | (~v102(constB193)))))) | (~v101(constB193)) | (~((~v1(constB193)) | (~v102(constB193))))),
% 7.79/5.74 inference(tautology,[status(thm)],[])).
% 7.79/5.74 tff(15085,plain,
% 7.79/5.74 ((~(v101(constB193) <=> (~((~v1(constB193)) | (~v102(constB193)))))) | (~v101(constB193))),
% 7.79/5.74 inference(unit_resolution,[status(thm)],[15084, 15083])).
% 7.79/5.74 tff(15086,plain,
% 7.79/5.74 (~v101(constB193)),
% 7.79/5.74 inference(unit_resolution,[status(thm)],[15085, 15078])).
% 7.79/5.74 tff(15087,plain,
% 7.79/5.74 (((~v101(constB193)) | (~v110(constB193))) | v101(constB193)),
% 7.79/5.74 inference(tautology,[status(thm)],[])).
% 7.79/5.74 tff(15088,plain,
% 7.79/5.74 ((~v101(constB193)) | (~v110(constB193))),
% 7.79/5.74 inference(unit_resolution,[status(thm)],[15087, 15086])).
% 7.79/5.74 tff(15089,plain,
% 7.79/5.74 ((~(v100(constB193) <=> (~((~v101(constB193)) | (~v110(constB193)))))) | (~v100(constB193)) | (~((~v101(constB193)) | (~v110(constB193))))),
% 7.79/5.74 inference(tautology,[status(thm)],[])).
% 7.79/5.74 tff(15090,plain,
% 7.79/5.74 (~v100(constB193)),
% 7.79/5.74 inference(unit_resolution,[status(thm)],[15089, 15088, 15071])).
% 7.79/5.74 tff(15091,plain,
% 7.79/5.74 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB193) | (~nextState(constB192, constB193)) | (~(((~v90(constB193, bitIndex1)) <=> v90(constB192, bitIndex1)) | ((~v90(constB193, bitIndex2)) <=> v90(constB192, bitIndex2)) | ((~v90(constB193, bitIndex0)) <=> v90(constB192, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB193) | (~nextState(constB192, constB193)) | (~(((~v90(constB193, bitIndex1)) <=> v90(constB192, bitIndex1)) | ((~v90(constB193, bitIndex2)) <=> v90(constB192, bitIndex2)) | ((~v90(constB193, bitIndex0)) <=> v90(constB192, bitIndex0)))))),
% 7.79/5.74 inference(rewrite,[status(thm)],[])).
% 7.79/5.74 tff(15092,plain,
% 7.79/5.74 ((v100(constB193) | (~nextState(constB192, constB193)) | (~(((~v90(constB193, bitIndex2)) <=> v90(constB192, bitIndex2)) | ((~v90(constB193, bitIndex1)) <=> v90(constB192, bitIndex1)) | ((~v90(constB193, bitIndex0)) <=> v90(constB192, bitIndex0))))) <=> (v100(constB193) | (~nextState(constB192, constB193)) | (~(((~v90(constB193, bitIndex1)) <=> v90(constB192, bitIndex1)) | ((~v90(constB193, bitIndex2)) <=> v90(constB192, bitIndex2)) | ((~v90(constB193, bitIndex0)) <=> v90(constB192, bitIndex0)))))),
% 7.79/5.74 inference(rewrite,[status(thm)],[])).
% 7.79/5.74 tff(15093,plain,
% 7.79/5.74 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB193) | (~nextState(constB192, constB193)) | (~(((~v90(constB193, bitIndex2)) <=> v90(constB192, bitIndex2)) | ((~v90(constB193, bitIndex1)) <=> v90(constB192, bitIndex1)) | ((~v90(constB193, bitIndex0)) <=> v90(constB192, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB193) | (~nextState(constB192, constB193)) | (~(((~v90(constB193, bitIndex1)) <=> v90(constB192, bitIndex1)) | ((~v90(constB193, bitIndex2)) <=> v90(constB192, bitIndex2)) | ((~v90(constB193, bitIndex0)) <=> v90(constB192, bitIndex0))))))),
% 7.79/5.74 inference(monotonicity,[status(thm)],[15092])).
% 7.79/5.74 tff(15094,plain,
% 7.79/5.74 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB193) | (~nextState(constB192, constB193)) | (~(((~v90(constB193, bitIndex2)) <=> v90(constB192, bitIndex2)) | ((~v90(constB193, bitIndex1)) <=> v90(constB192, bitIndex1)) | ((~v90(constB193, bitIndex0)) <=> v90(constB192, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB193) | (~nextState(constB192, constB193)) | (~(((~v90(constB193, bitIndex1)) <=> v90(constB192, bitIndex1)) | ((~v90(constB193, bitIndex2)) <=> v90(constB192, bitIndex2)) | ((~v90(constB193, bitIndex0)) <=> v90(constB192, bitIndex0)))))),
% 7.79/5.74 inference(transitivity,[status(thm)],[15093, 15091])).
% 7.79/5.74 tff(15095,plain,
% 7.79/5.74 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB193) | (~nextState(constB192, constB193)) | (~(((~v90(constB193, bitIndex2)) <=> v90(constB192, bitIndex2)) | ((~v90(constB193, bitIndex1)) <=> v90(constB192, bitIndex1)) | ((~v90(constB193, bitIndex0)) <=> v90(constB192, bitIndex0)))))),
% 7.79/5.74 inference(quant_inst,[status(thm)],[])).
% 7.79/5.74 tff(15096,plain,
% 7.79/5.74 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB193) | (~nextState(constB192, constB193)) | (~(((~v90(constB193, bitIndex1)) <=> v90(constB192, bitIndex1)) | ((~v90(constB193, bitIndex2)) <=> v90(constB192, bitIndex2)) | ((~v90(constB193, bitIndex0)) <=> v90(constB192, bitIndex0))))),
% 7.79/5.74 inference(modus_ponens,[status(thm)],[15095, 15094])).
% 7.79/5.74 tff(15097,plain,
% 7.79/5.74 (v100(constB193) | (~(((~v90(constB193, bitIndex1)) <=> v90(constB192, bitIndex1)) | ((~v90(constB193, bitIndex2)) <=> v90(constB192, bitIndex2)) | ((~v90(constB193, bitIndex0)) <=> v90(constB192, bitIndex0))))),
% 7.79/5.74 inference(unit_resolution,[status(thm)],[15096, 15067, 494])).
% 7.79/5.74 tff(15098,plain,
% 7.79/5.74 (~(((~v90(constB193, bitIndex1)) <=> v90(constB192, bitIndex1)) | ((~v90(constB193, bitIndex2)) <=> v90(constB192, bitIndex2)) | ((~v90(constB193, bitIndex0)) <=> v90(constB192, bitIndex0)))),
% 7.79/5.74 inference(unit_resolution,[status(thm)],[15097, 15090])).
% 7.79/5.74 tff(15099,plain,
% 7.79/5.74 ((((~v90(constB193, bitIndex1)) <=> v90(constB192, bitIndex1)) | ((~v90(constB193, bitIndex2)) <=> v90(constB192, bitIndex2)) | ((~v90(constB193, bitIndex0)) <=> v90(constB192, bitIndex0))) | (~((~v90(constB193, bitIndex2)) <=> v90(constB192, bitIndex2)))),
% 7.79/5.74 inference(tautology,[status(thm)],[])).
% 7.79/5.74 tff(15100,plain,
% 7.79/5.74 (~((~v90(constB193, bitIndex2)) <=> v90(constB192, bitIndex2))),
% 7.79/5.74 inference(unit_resolution,[status(thm)],[15099, 15098])).
% 7.79/5.74 tff(15101,plain,
% 7.79/5.74 (nextState(constB191, constB192) <=> nextState(constB191, constB192)),
% 7.79/5.74 inference(rewrite,[status(thm)],[])).
% 7.79/5.74 tff(15102,axiom,(nextState(constB191, constB192)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_191')).
% 7.79/5.74 tff(15103,plain,
% 7.79/5.74 (nextState(constB191, constB192)),
% 7.79/5.74 inference(modus_ponens,[status(thm)],[15102, 15101])).
% 7.79/5.74 tff(15104,plain,
% 7.79/5.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB191, constB192)) | (~(((~v129(constB192, bitIndex2)) <=> v127(constB191, bitIndex2)) | ((~v129(constB192, bitIndex1)) <=> v127(constB191, bitIndex1)) | ((~v129(constB192, bitIndex0)) <=> v127(constB191, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB191, constB192)) | (~(((~v129(constB192, bitIndex2)) <=> v127(constB191, bitIndex2)) | ((~v129(constB192, bitIndex1)) <=> v127(constB191, bitIndex1)) | ((~v129(constB192, bitIndex0)) <=> v127(constB191, bitIndex0)))))),
% 7.79/5.74 inference(rewrite,[status(thm)],[])).
% 7.79/5.74 tff(15105,plain,
% 7.79/5.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB191, constB192)) | (~(((~v129(constB192, bitIndex2)) <=> v127(constB191, bitIndex2)) | ((~v129(constB192, bitIndex1)) <=> v127(constB191, bitIndex1)) | ((~v129(constB192, bitIndex0)) <=> v127(constB191, bitIndex0)))))),
% 7.79/5.74 inference(quant_inst,[status(thm)],[])).
% 7.79/5.74 tff(15106,plain,
% 7.79/5.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB191, constB192)) | (~(((~v129(constB192, bitIndex2)) <=> v127(constB191, bitIndex2)) | ((~v129(constB192, bitIndex1)) <=> v127(constB191, bitIndex1)) | ((~v129(constB192, bitIndex0)) <=> v127(constB191, bitIndex0))))),
% 7.79/5.74 inference(modus_ponens,[status(thm)],[15105, 15104])).
% 7.79/5.74 tff(15107,plain,
% 7.79/5.74 (~(((~v129(constB192, bitIndex2)) <=> v127(constB191, bitIndex2)) | ((~v129(constB192, bitIndex1)) <=> v127(constB191, bitIndex1)) | ((~v129(constB192, bitIndex0)) <=> v127(constB191, bitIndex0)))),
% 7.79/5.74 inference(unit_resolution,[status(thm)],[15106, 15103, 517])).
% 7.79/5.74 tff(15108,plain,
% 7.79/5.74 ((((~v129(constB192, bitIndex2)) <=> v127(constB191, bitIndex2)) | ((~v129(constB192, bitIndex1)) <=> v127(constB191, bitIndex1)) | ((~v129(constB192, bitIndex0)) <=> v127(constB191, bitIndex0))) | (~((~v129(constB192, bitIndex2)) <=> v127(constB191, bitIndex2)))),
% 7.79/5.74 inference(tautology,[status(thm)],[])).
% 7.79/5.74 tff(15109,plain,
% 7.79/5.74 (~((~v129(constB192, bitIndex2)) <=> v127(constB191, bitIndex2))),
% 7.79/5.74 inference(unit_resolution,[status(thm)],[15108, 15107])).
% 7.79/5.74 tff(15110,plain,
% 7.79/5.74 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB191) <=> v26(constB191))),
% 7.79/5.74 inference(quant_inst,[status(thm)],[])).
% 7.79/5.74 tff(15111,plain,
% 7.79/5.74 (v111(constB191) <=> v26(constB191)),
% 7.79/5.74 inference(unit_resolution,[status(thm)],[15110, 536])).
% 7.79/5.74 tff(15112,plain,
% 7.79/5.74 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB191))),
% 7.79/5.74 inference(quant_inst,[status(thm)],[])).
% 7.79/5.74 tff(15113,plain,
% 7.79/5.74 (~v26(constB191)),
% 7.79/5.74 inference(unit_resolution,[status(thm)],[15112, 548])).
% 7.79/5.74 tff(15114,plain,
% 7.79/5.74 ((~(v111(constB191) <=> v26(constB191))) | (~v111(constB191)) | v26(constB191)),
% 7.79/5.74 inference(tautology,[status(thm)],[])).
% 7.79/5.74 tff(15115,plain,
% 7.79/5.74 ((~(v111(constB191) <=> v26(constB191))) | (~v111(constB191))),
% 7.79/5.74 inference(unit_resolution,[status(thm)],[15114, 15113])).
% 7.79/5.74 tff(15116,plain,
% 7.79/5.74 (~v111(constB191)),
% 7.79/5.74 inference(unit_resolution,[status(thm)],[15115, 15111])).
% 7.79/5.74 tff(15117,plain,
% 7.79/5.74 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB191) | (~(((~v127(constB191, bitIndex2)) <=> v130(constB191, bitIndex2)) | ((~v127(constB191, bitIndex1)) <=> v130(constB191, bitIndex1)) | ((~v127(constB191, bitIndex0)) <=> v130(constB191, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB191) | (~(((~v127(constB191, bitIndex2)) <=> v130(constB191, bitIndex2)) | ((~v127(constB191, bitIndex1)) <=> v130(constB191, bitIndex1)) | ((~v127(constB191, bitIndex0)) <=> v130(constB191, bitIndex0)))))),
% 7.79/5.74 inference(rewrite,[status(thm)],[])).
% 7.79/5.74 tff(15118,plain,
% 7.79/5.74 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB191) | (~(((~v127(constB191, bitIndex2)) <=> v130(constB191, bitIndex2)) | ((~v127(constB191, bitIndex1)) <=> v130(constB191, bitIndex1)) | ((~v127(constB191, bitIndex0)) <=> v130(constB191, bitIndex0)))))),
% 7.79/5.75 inference(quant_inst,[status(thm)],[])).
% 7.79/5.75 tff(15119,plain,
% 7.79/5.75 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB191) | (~(((~v127(constB191, bitIndex2)) <=> v130(constB191, bitIndex2)) | ((~v127(constB191, bitIndex1)) <=> v130(constB191, bitIndex1)) | ((~v127(constB191, bitIndex0)) <=> v130(constB191, bitIndex0))))),
% 7.79/5.75 inference(modus_ponens,[status(thm)],[15118, 15117])).
% 7.79/5.75 tff(15120,plain,
% 7.79/5.75 (v111(constB191) | (~(((~v127(constB191, bitIndex2)) <=> v130(constB191, bitIndex2)) | ((~v127(constB191, bitIndex1)) <=> v130(constB191, bitIndex1)) | ((~v127(constB191, bitIndex0)) <=> v130(constB191, bitIndex0))))),
% 7.79/5.75 inference(unit_resolution,[status(thm)],[15119, 566])).
% 7.79/5.75 tff(15121,plain,
% 7.79/5.75 (~(((~v127(constB191, bitIndex2)) <=> v130(constB191, bitIndex2)) | ((~v127(constB191, bitIndex1)) <=> v130(constB191, bitIndex1)) | ((~v127(constB191, bitIndex0)) <=> v130(constB191, bitIndex0)))),
% 7.79/5.75 inference(unit_resolution,[status(thm)],[15120, 15116])).
% 7.79/5.75 tff(15122,plain,
% 7.79/5.75 ((((~v127(constB191, bitIndex2)) <=> v130(constB191, bitIndex2)) | ((~v127(constB191, bitIndex1)) <=> v130(constB191, bitIndex1)) | ((~v127(constB191, bitIndex0)) <=> v130(constB191, bitIndex0))) | (~((~v127(constB191, bitIndex2)) <=> v130(constB191, bitIndex2)))),
% 7.79/5.75 inference(tautology,[status(thm)],[])).
% 7.79/5.75 tff(15123,plain,
% 7.79/5.75 (~((~v127(constB191, bitIndex2)) <=> v130(constB191, bitIndex2))),
% 7.79/5.75 inference(unit_resolution,[status(thm)],[15122, 15121])).
% 7.79/5.75 tff(15124,plain,
% 7.79/5.75 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB191) <=> (~(v90(constB191, bitIndex2) | (~v90(constB191, bitIndex1)) | (~v90(constB191, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB191) <=> (~(v90(constB191, bitIndex2) | (~v90(constB191, bitIndex1)) | (~v90(constB191, bitIndex0))))))),
% 7.79/5.75 inference(rewrite,[status(thm)],[])).
% 7.79/5.75 tff(15125,plain,
% 7.79/5.75 ((v122(constB191) <=> (~(v90(constB191, bitIndex2) | (~v90(constB191, bitIndex0)) | (~v90(constB191, bitIndex1))))) <=> (v122(constB191) <=> (~(v90(constB191, bitIndex2) | (~v90(constB191, bitIndex1)) | (~v90(constB191, bitIndex0)))))),
% 7.79/5.75 inference(rewrite,[status(thm)],[])).
% 7.79/5.75 tff(15126,plain,
% 7.79/5.75 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB191) <=> (~(v90(constB191, bitIndex2) | (~v90(constB191, bitIndex0)) | (~v90(constB191, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB191) <=> (~(v90(constB191, bitIndex2) | (~v90(constB191, bitIndex1)) | (~v90(constB191, bitIndex0))))))),
% 7.79/5.75 inference(monotonicity,[status(thm)],[15125])).
% 7.79/5.75 tff(15127,plain,
% 7.79/5.75 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB191) <=> (~(v90(constB191, bitIndex2) | (~v90(constB191, bitIndex0)) | (~v90(constB191, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB191) <=> (~(v90(constB191, bitIndex2) | (~v90(constB191, bitIndex1)) | (~v90(constB191, bitIndex0))))))),
% 7.79/5.75 inference(transitivity,[status(thm)],[15126, 15124])).
% 7.79/5.75 tff(15128,plain,
% 7.79/5.75 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB191) <=> (~(v90(constB191, bitIndex2) | (~v90(constB191, bitIndex0)) | (~v90(constB191, bitIndex1)))))),
% 7.79/5.75 inference(quant_inst,[status(thm)],[])).
% 7.79/5.75 tff(15129,plain,
% 7.79/5.75 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB191) <=> (~(v90(constB191, bitIndex2) | (~v90(constB191, bitIndex1)) | (~v90(constB191, bitIndex0)))))),
% 7.79/5.75 inference(modus_ponens,[status(thm)],[15128, 15127])).
% 7.79/5.75 tff(15130,plain,
% 7.79/5.75 (v122(constB191) <=> (~(v90(constB191, bitIndex2) | (~v90(constB191, bitIndex1)) | (~v90(constB191, bitIndex0))))),
% 7.79/5.75 inference(unit_resolution,[status(thm)],[15129, 879])).
% 7.79/5.75 tff(15131,plain,
% 7.79/5.75 (nextState(constB190, constB191) <=> nextState(constB190, constB191)),
% 7.79/5.75 inference(rewrite,[status(thm)],[])).
% 7.79/5.75 tff(15132,axiom,(nextState(constB190, constB191)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_190')).
% 7.79/5.75 tff(15133,plain,
% 7.79/5.75 (nextState(constB190, constB191)),
% 7.79/5.75 inference(modus_ponens,[status(thm)],[15132, 15131])).
% 7.79/5.75 tff(15134,plain,
% 7.79/5.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB190, constB191)) | (v100(constB191) <=> (~((~v101(constB191)) | (~v110(constB191))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB190, constB191)) | (v100(constB191) <=> (~((~v101(constB191)) | (~v110(constB191))))))),
% 7.79/5.75 inference(rewrite,[status(thm)],[])).
% 7.79/5.75 tff(15135,plain,
% 7.79/5.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB190, constB191)) | (v100(constB191) <=> (~((~v101(constB191)) | (~v110(constB191))))))),
% 7.79/5.75 inference(quant_inst,[status(thm)],[])).
% 7.79/5.75 tff(15136,plain,
% 7.79/5.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB190, constB191)) | (v100(constB191) <=> (~((~v101(constB191)) | (~v110(constB191)))))),
% 7.79/5.75 inference(modus_ponens,[status(thm)],[15135, 15134])).
% 7.79/5.75 tff(15137,plain,
% 7.79/5.75 (v100(constB191) <=> (~((~v101(constB191)) | (~v110(constB191))))),
% 7.79/5.75 inference(unit_resolution,[status(thm)],[15136, 15133, 445])).
% 7.79/5.75 tff(15138,plain,
% 7.79/5.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB190, constB191)) | (v101(constB191) <=> (~((~v1(constB191)) | (~v102(constB191))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB190, constB191)) | (v101(constB191) <=> (~((~v1(constB191)) | (~v102(constB191))))))),
% 7.79/5.75 inference(rewrite,[status(thm)],[])).
% 7.79/5.75 tff(15139,plain,
% 7.79/5.75 (((~nextState(constB190, constB191)) | (v101(constB191) <=> (~((~v102(constB191)) | (~v1(constB191)))))) <=> ((~nextState(constB190, constB191)) | (v101(constB191) <=> (~((~v1(constB191)) | (~v102(constB191))))))),
% 7.79/5.75 inference(rewrite,[status(thm)],[])).
% 7.79/5.75 tff(15140,plain,
% 7.79/5.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB190, constB191)) | (v101(constB191) <=> (~((~v102(constB191)) | (~v1(constB191))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB190, constB191)) | (v101(constB191) <=> (~((~v1(constB191)) | (~v102(constB191)))))))),
% 7.79/5.75 inference(monotonicity,[status(thm)],[15139])).
% 7.79/5.75 tff(15141,plain,
% 7.79/5.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB190, constB191)) | (v101(constB191) <=> (~((~v102(constB191)) | (~v1(constB191))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB190, constB191)) | (v101(constB191) <=> (~((~v1(constB191)) | (~v102(constB191))))))),
% 7.79/5.75 inference(transitivity,[status(thm)],[15140, 15138])).
% 7.79/5.75 tff(15142,plain,
% 7.79/5.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB190, constB191)) | (v101(constB191) <=> (~((~v102(constB191)) | (~v1(constB191))))))),
% 7.79/5.75 inference(quant_inst,[status(thm)],[])).
% 7.79/5.75 tff(15143,plain,
% 7.79/5.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB190, constB191)) | (v101(constB191) <=> (~((~v1(constB191)) | (~v102(constB191)))))),
% 7.79/5.75 inference(modus_ponens,[status(thm)],[15142, 15141])).
% 7.79/5.75 tff(15144,plain,
% 7.79/5.75 (v101(constB191) <=> (~((~v1(constB191)) | (~v102(constB191))))),
% 7.79/5.75 inference(unit_resolution,[status(thm)],[15143, 15133, 465])).
% 7.79/5.75 tff(15145,plain,
% 7.79/5.75 ((~v1(constB191)) <=> (~v1(constB191))),
% 7.79/5.75 inference(rewrite,[status(thm)],[])).
% 7.79/5.75 tff(15146,axiom,(~v1(constB191)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_191')).
% 7.79/5.75 tff(15147,plain,
% 7.79/5.75 (~v1(constB191)),
% 7.79/5.75 inference(modus_ponens,[status(thm)],[15146, 15145])).
% 7.79/5.75 tff(15148,plain,
% 7.79/5.75 (((~v1(constB191)) | (~v102(constB191))) | v1(constB191)),
% 7.79/5.75 inference(tautology,[status(thm)],[])).
% 7.79/5.75 tff(15149,plain,
% 7.79/5.75 ((~v1(constB191)) | (~v102(constB191))),
% 7.79/5.75 inference(unit_resolution,[status(thm)],[15148, 15147])).
% 7.79/5.75 tff(15150,plain,
% 7.79/5.75 ((~(v101(constB191) <=> (~((~v1(constB191)) | (~v102(constB191)))))) | (~v101(constB191)) | (~((~v1(constB191)) | (~v102(constB191))))),
% 7.79/5.75 inference(tautology,[status(thm)],[])).
% 7.79/5.75 tff(15151,plain,
% 7.79/5.75 ((~(v101(constB191) <=> (~((~v1(constB191)) | (~v102(constB191)))))) | (~v101(constB191))),
% 7.79/5.75 inference(unit_resolution,[status(thm)],[15150, 15149])).
% 7.79/5.75 tff(15152,plain,
% 7.79/5.75 (~v101(constB191)),
% 7.79/5.75 inference(unit_resolution,[status(thm)],[15151, 15144])).
% 7.79/5.75 tff(15153,plain,
% 7.79/5.75 (((~v101(constB191)) | (~v110(constB191))) | v101(constB191)),
% 7.79/5.75 inference(tautology,[status(thm)],[])).
% 7.79/5.75 tff(15154,plain,
% 7.79/5.75 ((~v101(constB191)) | (~v110(constB191))),
% 7.79/5.75 inference(unit_resolution,[status(thm)],[15153, 15152])).
% 7.79/5.75 tff(15155,plain,
% 7.79/5.75 ((~(v100(constB191) <=> (~((~v101(constB191)) | (~v110(constB191)))))) | (~v100(constB191)) | (~((~v101(constB191)) | (~v110(constB191))))),
% 7.79/5.75 inference(tautology,[status(thm)],[])).
% 7.79/5.75 tff(15156,plain,
% 7.79/5.75 (~v100(constB191)),
% 7.79/5.75 inference(unit_resolution,[status(thm)],[15155, 15154, 15137])).
% 7.79/5.75 tff(15157,plain,
% 7.79/5.75 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB191) | (~nextState(constB190, constB191)) | (~(((~v90(constB191, bitIndex1)) <=> v90(constB190, bitIndex1)) | ((~v90(constB191, bitIndex2)) <=> v90(constB190, bitIndex2)) | ((~v90(constB191, bitIndex0)) <=> v90(constB190, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB191) | (~nextState(constB190, constB191)) | (~(((~v90(constB191, bitIndex1)) <=> v90(constB190, bitIndex1)) | ((~v90(constB191, bitIndex2)) <=> v90(constB190, bitIndex2)) | ((~v90(constB191, bitIndex0)) <=> v90(constB190, bitIndex0)))))),
% 7.79/5.75 inference(rewrite,[status(thm)],[])).
% 7.79/5.75 tff(15158,plain,
% 7.79/5.75 ((v100(constB191) | (~nextState(constB190, constB191)) | (~(((~v90(constB191, bitIndex2)) <=> v90(constB190, bitIndex2)) | ((~v90(constB191, bitIndex1)) <=> v90(constB190, bitIndex1)) | ((~v90(constB191, bitIndex0)) <=> v90(constB190, bitIndex0))))) <=> (v100(constB191) | (~nextState(constB190, constB191)) | (~(((~v90(constB191, bitIndex1)) <=> v90(constB190, bitIndex1)) | ((~v90(constB191, bitIndex2)) <=> v90(constB190, bitIndex2)) | ((~v90(constB191, bitIndex0)) <=> v90(constB190, bitIndex0)))))),
% 7.79/5.75 inference(rewrite,[status(thm)],[])).
% 7.79/5.75 tff(15159,plain,
% 7.79/5.75 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB191) | (~nextState(constB190, constB191)) | (~(((~v90(constB191, bitIndex2)) <=> v90(constB190, bitIndex2)) | ((~v90(constB191, bitIndex1)) <=> v90(constB190, bitIndex1)) | ((~v90(constB191, bitIndex0)) <=> v90(constB190, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB191) | (~nextState(constB190, constB191)) | (~(((~v90(constB191, bitIndex1)) <=> v90(constB190, bitIndex1)) | ((~v90(constB191, bitIndex2)) <=> v90(constB190, bitIndex2)) | ((~v90(constB191, bitIndex0)) <=> v90(constB190, bitIndex0))))))),
% 7.79/5.75 inference(monotonicity,[status(thm)],[15158])).
% 7.79/5.75 tff(15160,plain,
% 7.79/5.75 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB191) | (~nextState(constB190, constB191)) | (~(((~v90(constB191, bitIndex2)) <=> v90(constB190, bitIndex2)) | ((~v90(constB191, bitIndex1)) <=> v90(constB190, bitIndex1)) | ((~v90(constB191, bitIndex0)) <=> v90(constB190, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB191) | (~nextState(constB190, constB191)) | (~(((~v90(constB191, bitIndex1)) <=> v90(constB190, bitIndex1)) | ((~v90(constB191, bitIndex2)) <=> v90(constB190, bitIndex2)) | ((~v90(constB191, bitIndex0)) <=> v90(constB190, bitIndex0)))))),
% 7.79/5.75 inference(transitivity,[status(thm)],[15159, 15157])).
% 7.79/5.75 tff(15161,plain,
% 7.79/5.75 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB191) | (~nextState(constB190, constB191)) | (~(((~v90(constB191, bitIndex2)) <=> v90(constB190, bitIndex2)) | ((~v90(constB191, bitIndex1)) <=> v90(constB190, bitIndex1)) | ((~v90(constB191, bitIndex0)) <=> v90(constB190, bitIndex0)))))),
% 7.79/5.75 inference(quant_inst,[status(thm)],[])).
% 7.79/5.75 tff(15162,plain,
% 7.79/5.75 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB191) | (~nextState(constB190, constB191)) | (~(((~v90(constB191, bitIndex1)) <=> v90(constB190, bitIndex1)) | ((~v90(constB191, bitIndex2)) <=> v90(constB190, bitIndex2)) | ((~v90(constB191, bitIndex0)) <=> v90(constB190, bitIndex0))))),
% 7.79/5.75 inference(modus_ponens,[status(thm)],[15161, 15160])).
% 7.79/5.75 tff(15163,plain,
% 7.79/5.75 (v100(constB191) | (~(((~v90(constB191, bitIndex1)) <=> v90(constB190, bitIndex1)) | ((~v90(constB191, bitIndex2)) <=> v90(constB190, bitIndex2)) | ((~v90(constB191, bitIndex0)) <=> v90(constB190, bitIndex0))))),
% 7.79/5.75 inference(unit_resolution,[status(thm)],[15162, 15133, 494])).
% 7.79/5.75 tff(15164,plain,
% 7.79/5.75 (~(((~v90(constB191, bitIndex1)) <=> v90(constB190, bitIndex1)) | ((~v90(constB191, bitIndex2)) <=> v90(constB190, bitIndex2)) | ((~v90(constB191, bitIndex0)) <=> v90(constB190, bitIndex0)))),
% 7.79/5.75 inference(unit_resolution,[status(thm)],[15163, 15156])).
% 7.79/5.75 tff(15165,plain,
% 7.79/5.75 ((((~v90(constB191, bitIndex1)) <=> v90(constB190, bitIndex1)) | ((~v90(constB191, bitIndex2)) <=> v90(constB190, bitIndex2)) | ((~v90(constB191, bitIndex0)) <=> v90(constB190, bitIndex0))) | (~((~v90(constB191, bitIndex2)) <=> v90(constB190, bitIndex2)))),
% 7.79/5.75 inference(tautology,[status(thm)],[])).
% 7.79/5.75 tff(15166,plain,
% 7.79/5.75 (~((~v90(constB191, bitIndex2)) <=> v90(constB190, bitIndex2))),
% 7.79/5.75 inference(unit_resolution,[status(thm)],[15165, 15164])).
% 7.79/5.75 tff(15167,plain,
% 7.79/5.75 (nextState(constB189, constB190) <=> nextState(constB189, constB190)),
% 7.79/5.75 inference(rewrite,[status(thm)],[])).
% 7.79/5.75 tff(15168,axiom,(nextState(constB189, constB190)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_189')).
% 7.79/5.75 tff(15169,plain,
% 7.79/5.75 (nextState(constB189, constB190)),
% 7.79/5.75 inference(modus_ponens,[status(thm)],[15168, 15167])).
% 7.79/5.75 tff(15170,plain,
% 7.79/5.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB189, constB190)) | (~(((~v129(constB190, bitIndex2)) <=> v127(constB189, bitIndex2)) | ((~v129(constB190, bitIndex1)) <=> v127(constB189, bitIndex1)) | ((~v129(constB190, bitIndex0)) <=> v127(constB189, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB189, constB190)) | (~(((~v129(constB190, bitIndex2)) <=> v127(constB189, bitIndex2)) | ((~v129(constB190, bitIndex1)) <=> v127(constB189, bitIndex1)) | ((~v129(constB190, bitIndex0)) <=> v127(constB189, bitIndex0)))))),
% 7.79/5.75 inference(rewrite,[status(thm)],[])).
% 7.79/5.75 tff(15171,plain,
% 7.79/5.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB189, constB190)) | (~(((~v129(constB190, bitIndex2)) <=> v127(constB189, bitIndex2)) | ((~v129(constB190, bitIndex1)) <=> v127(constB189, bitIndex1)) | ((~v129(constB190, bitIndex0)) <=> v127(constB189, bitIndex0)))))),
% 7.79/5.75 inference(quant_inst,[status(thm)],[])).
% 7.79/5.75 tff(15172,plain,
% 7.79/5.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB189, constB190)) | (~(((~v129(constB190, bitIndex2)) <=> v127(constB189, bitIndex2)) | ((~v129(constB190, bitIndex1)) <=> v127(constB189, bitIndex1)) | ((~v129(constB190, bitIndex0)) <=> v127(constB189, bitIndex0))))),
% 7.79/5.75 inference(modus_ponens,[status(thm)],[15171, 15170])).
% 7.79/5.75 tff(15173,plain,
% 7.79/5.75 (~(((~v129(constB190, bitIndex2)) <=> v127(constB189, bitIndex2)) | ((~v129(constB190, bitIndex1)) <=> v127(constB189, bitIndex1)) | ((~v129(constB190, bitIndex0)) <=> v127(constB189, bitIndex0)))),
% 7.79/5.75 inference(unit_resolution,[status(thm)],[15172, 15169, 517])).
% 7.79/5.75 tff(15174,plain,
% 7.79/5.75 ((((~v129(constB190, bitIndex2)) <=> v127(constB189, bitIndex2)) | ((~v129(constB190, bitIndex1)) <=> v127(constB189, bitIndex1)) | ((~v129(constB190, bitIndex0)) <=> v127(constB189, bitIndex0))) | (~((~v129(constB190, bitIndex2)) <=> v127(constB189, bitIndex2)))),
% 7.79/5.75 inference(tautology,[status(thm)],[])).
% 7.79/5.75 tff(15175,plain,
% 7.79/5.75 (~((~v129(constB190, bitIndex2)) <=> v127(constB189, bitIndex2))),
% 7.79/5.75 inference(unit_resolution,[status(thm)],[15174, 15173])).
% 7.79/5.75 tff(15176,plain,
% 7.79/5.75 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB189) <=> v26(constB189))),
% 7.79/5.75 inference(quant_inst,[status(thm)],[])).
% 7.79/5.75 tff(15177,plain,
% 7.79/5.75 (v111(constB189) <=> v26(constB189)),
% 7.79/5.75 inference(unit_resolution,[status(thm)],[15176, 536])).
% 7.79/5.75 tff(15178,plain,
% 7.79/5.75 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB189))),
% 7.79/5.75 inference(quant_inst,[status(thm)],[])).
% 7.79/5.75 tff(15179,plain,
% 7.79/5.75 (~v26(constB189)),
% 7.79/5.75 inference(unit_resolution,[status(thm)],[15178, 548])).
% 7.79/5.75 tff(15180,plain,
% 7.79/5.75 ((~(v111(constB189) <=> v26(constB189))) | (~v111(constB189)) | v26(constB189)),
% 7.79/5.75 inference(tautology,[status(thm)],[])).
% 7.79/5.75 tff(15181,plain,
% 7.79/5.75 ((~(v111(constB189) <=> v26(constB189))) | (~v111(constB189))),
% 7.79/5.75 inference(unit_resolution,[status(thm)],[15180, 15179])).
% 7.79/5.75 tff(15182,plain,
% 7.79/5.75 (~v111(constB189)),
% 7.79/5.75 inference(unit_resolution,[status(thm)],[15181, 15177])).
% 7.79/5.75 tff(15183,plain,
% 7.79/5.75 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB189) | (~(((~v127(constB189, bitIndex2)) <=> v130(constB189, bitIndex2)) | ((~v127(constB189, bitIndex1)) <=> v130(constB189, bitIndex1)) | ((~v127(constB189, bitIndex0)) <=> v130(constB189, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB189) | (~(((~v127(constB189, bitIndex2)) <=> v130(constB189, bitIndex2)) | ((~v127(constB189, bitIndex1)) <=> v130(constB189, bitIndex1)) | ((~v127(constB189, bitIndex0)) <=> v130(constB189, bitIndex0)))))),
% 7.79/5.75 inference(rewrite,[status(thm)],[])).
% 7.79/5.75 tff(15184,plain,
% 7.79/5.75 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB189) | (~(((~v127(constB189, bitIndex2)) <=> v130(constB189, bitIndex2)) | ((~v127(constB189, bitIndex1)) <=> v130(constB189, bitIndex1)) | ((~v127(constB189, bitIndex0)) <=> v130(constB189, bitIndex0)))))),
% 7.79/5.75 inference(quant_inst,[status(thm)],[])).
% 7.79/5.75 tff(15185,plain,
% 7.79/5.75 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB189) | (~(((~v127(constB189, bitIndex2)) <=> v130(constB189, bitIndex2)) | ((~v127(constB189, bitIndex1)) <=> v130(constB189, bitIndex1)) | ((~v127(constB189, bitIndex0)) <=> v130(constB189, bitIndex0))))),
% 7.79/5.75 inference(modus_ponens,[status(thm)],[15184, 15183])).
% 7.79/5.75 tff(15186,plain,
% 7.79/5.75 (v111(constB189) | (~(((~v127(constB189, bitIndex2)) <=> v130(constB189, bitIndex2)) | ((~v127(constB189, bitIndex1)) <=> v130(constB189, bitIndex1)) | ((~v127(constB189, bitIndex0)) <=> v130(constB189, bitIndex0))))),
% 7.79/5.75 inference(unit_resolution,[status(thm)],[15185, 566])).
% 7.79/5.75 tff(15187,plain,
% 7.79/5.75 (~(((~v127(constB189, bitIndex2)) <=> v130(constB189, bitIndex2)) | ((~v127(constB189, bitIndex1)) <=> v130(constB189, bitIndex1)) | ((~v127(constB189, bitIndex0)) <=> v130(constB189, bitIndex0)))),
% 7.79/5.75 inference(unit_resolution,[status(thm)],[15186, 15182])).
% 7.79/5.75 tff(15188,plain,
% 7.79/5.75 ((((~v127(constB189, bitIndex2)) <=> v130(constB189, bitIndex2)) | ((~v127(constB189, bitIndex1)) <=> v130(constB189, bitIndex1)) | ((~v127(constB189, bitIndex0)) <=> v130(constB189, bitIndex0))) | (~((~v127(constB189, bitIndex2)) <=> v130(constB189, bitIndex2)))),
% 7.79/5.75 inference(tautology,[status(thm)],[])).
% 7.79/5.75 tff(15189,plain,
% 7.79/5.75 (~((~v127(constB189, bitIndex2)) <=> v130(constB189, bitIndex2))),
% 7.79/5.75 inference(unit_resolution,[status(thm)],[15188, 15187])).
% 7.79/5.75 tff(15190,plain,
% 7.79/5.75 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB189) <=> (~(v90(constB189, bitIndex2) | v90(constB189, bitIndex0) | (~v90(constB189, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB189) <=> (~(v90(constB189, bitIndex2) | v90(constB189, bitIndex0) | (~v90(constB189, bitIndex1))))))),
% 7.79/5.75 inference(rewrite,[status(thm)],[])).
% 7.79/5.75 tff(15191,plain,
% 7.79/5.75 ((v121(constB189) <=> (~(v90(constB189, bitIndex0) | v90(constB189, bitIndex2) | (~v90(constB189, bitIndex1))))) <=> (v121(constB189) <=> (~(v90(constB189, bitIndex2) | v90(constB189, bitIndex0) | (~v90(constB189, bitIndex1)))))),
% 7.79/5.75 inference(rewrite,[status(thm)],[])).
% 7.79/5.75 tff(15192,plain,
% 7.79/5.75 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB189) <=> (~(v90(constB189, bitIndex0) | v90(constB189, bitIndex2) | (~v90(constB189, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB189) <=> (~(v90(constB189, bitIndex2) | v90(constB189, bitIndex0) | (~v90(constB189, bitIndex1))))))),
% 7.79/5.75 inference(monotonicity,[status(thm)],[15191])).
% 7.79/5.75 tff(15193,plain,
% 7.79/5.75 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB189) <=> (~(v90(constB189, bitIndex0) | v90(constB189, bitIndex2) | (~v90(constB189, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB189) <=> (~(v90(constB189, bitIndex2) | v90(constB189, bitIndex0) | (~v90(constB189, bitIndex1))))))),
% 7.79/5.75 inference(transitivity,[status(thm)],[15192, 15190])).
% 7.79/5.75 tff(15194,plain,
% 7.79/5.75 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB189) <=> (~(v90(constB189, bitIndex0) | v90(constB189, bitIndex2) | (~v90(constB189, bitIndex1)))))),
% 7.79/5.75 inference(quant_inst,[status(thm)],[])).
% 7.79/5.75 tff(15195,plain,
% 7.79/5.75 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB189) <=> (~(v90(constB189, bitIndex2) | v90(constB189, bitIndex0) | (~v90(constB189, bitIndex1)))))),
% 7.79/5.75 inference(modus_ponens,[status(thm)],[15194, 15193])).
% 7.79/5.75 tff(15196,plain,
% 7.79/5.75 (v121(constB189) <=> (~(v90(constB189, bitIndex2) | v90(constB189, bitIndex0) | (~v90(constB189, bitIndex1))))),
% 7.79/5.75 inference(unit_resolution,[status(thm)],[15195, 586])).
% 7.79/5.75 tff(15197,plain,
% 7.79/5.75 (nextState(constB188, constB189) <=> nextState(constB188, constB189)),
% 7.79/5.75 inference(rewrite,[status(thm)],[])).
% 7.79/5.75 tff(15198,axiom,(nextState(constB188, constB189)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_188')).
% 7.79/5.75 tff(15199,plain,
% 7.79/5.75 (nextState(constB188, constB189)),
% 7.79/5.75 inference(modus_ponens,[status(thm)],[15198, 15197])).
% 7.79/5.75 tff(15200,plain,
% 7.79/5.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB188, constB189)) | (v100(constB189) <=> (~((~v101(constB189)) | (~v110(constB189))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB188, constB189)) | (v100(constB189) <=> (~((~v101(constB189)) | (~v110(constB189))))))),
% 7.79/5.75 inference(rewrite,[status(thm)],[])).
% 7.79/5.75 tff(15201,plain,
% 7.79/5.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB188, constB189)) | (v100(constB189) <=> (~((~v101(constB189)) | (~v110(constB189))))))),
% 7.79/5.75 inference(quant_inst,[status(thm)],[])).
% 7.79/5.75 tff(15202,plain,
% 7.79/5.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB188, constB189)) | (v100(constB189) <=> (~((~v101(constB189)) | (~v110(constB189)))))),
% 7.79/5.75 inference(modus_ponens,[status(thm)],[15201, 15200])).
% 7.79/5.75 tff(15203,plain,
% 7.79/5.75 (v100(constB189) <=> (~((~v101(constB189)) | (~v110(constB189))))),
% 7.79/5.75 inference(unit_resolution,[status(thm)],[15202, 15199, 445])).
% 7.79/5.75 tff(15204,plain,
% 7.79/5.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB188, constB189)) | (v101(constB189) <=> (~((~v1(constB189)) | (~v102(constB189))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB188, constB189)) | (v101(constB189) <=> (~((~v1(constB189)) | (~v102(constB189))))))),
% 7.79/5.75 inference(rewrite,[status(thm)],[])).
% 7.79/5.75 tff(15205,plain,
% 7.79/5.75 (((~nextState(constB188, constB189)) | (v101(constB189) <=> (~((~v102(constB189)) | (~v1(constB189)))))) <=> ((~nextState(constB188, constB189)) | (v101(constB189) <=> (~((~v1(constB189)) | (~v102(constB189))))))),
% 7.79/5.75 inference(rewrite,[status(thm)],[])).
% 7.79/5.75 tff(15206,plain,
% 7.79/5.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB188, constB189)) | (v101(constB189) <=> (~((~v102(constB189)) | (~v1(constB189))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB188, constB189)) | (v101(constB189) <=> (~((~v1(constB189)) | (~v102(constB189)))))))),
% 7.79/5.75 inference(monotonicity,[status(thm)],[15205])).
% 7.79/5.75 tff(15207,plain,
% 7.79/5.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB188, constB189)) | (v101(constB189) <=> (~((~v102(constB189)) | (~v1(constB189))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB188, constB189)) | (v101(constB189) <=> (~((~v1(constB189)) | (~v102(constB189))))))),
% 7.79/5.75 inference(transitivity,[status(thm)],[15206, 15204])).
% 7.79/5.75 tff(15208,plain,
% 7.79/5.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB188, constB189)) | (v101(constB189) <=> (~((~v102(constB189)) | (~v1(constB189))))))),
% 7.79/5.75 inference(quant_inst,[status(thm)],[])).
% 7.79/5.75 tff(15209,plain,
% 7.79/5.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB188, constB189)) | (v101(constB189) <=> (~((~v1(constB189)) | (~v102(constB189)))))),
% 7.79/5.75 inference(modus_ponens,[status(thm)],[15208, 15207])).
% 7.79/5.75 tff(15210,plain,
% 7.79/5.75 (v101(constB189) <=> (~((~v1(constB189)) | (~v102(constB189))))),
% 7.79/5.75 inference(unit_resolution,[status(thm)],[15209, 15199, 465])).
% 7.79/5.75 tff(15211,plain,
% 7.79/5.75 ((~v1(constB189)) <=> (~v1(constB189))),
% 7.79/5.75 inference(rewrite,[status(thm)],[])).
% 7.79/5.75 tff(15212,axiom,(~v1(constB189)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_189')).
% 7.79/5.75 tff(15213,plain,
% 7.79/5.75 (~v1(constB189)),
% 7.79/5.75 inference(modus_ponens,[status(thm)],[15212, 15211])).
% 7.79/5.75 tff(15214,plain,
% 7.79/5.75 (((~v1(constB189)) | (~v102(constB189))) | v1(constB189)),
% 7.79/5.75 inference(tautology,[status(thm)],[])).
% 7.79/5.75 tff(15215,plain,
% 7.79/5.75 ((~v1(constB189)) | (~v102(constB189))),
% 7.79/5.75 inference(unit_resolution,[status(thm)],[15214, 15213])).
% 7.79/5.75 tff(15216,plain,
% 7.79/5.75 ((~(v101(constB189) <=> (~((~v1(constB189)) | (~v102(constB189)))))) | (~v101(constB189)) | (~((~v1(constB189)) | (~v102(constB189))))),
% 7.79/5.75 inference(tautology,[status(thm)],[])).
% 7.79/5.75 tff(15217,plain,
% 7.79/5.75 ((~(v101(constB189) <=> (~((~v1(constB189)) | (~v102(constB189)))))) | (~v101(constB189))),
% 7.79/5.75 inference(unit_resolution,[status(thm)],[15216, 15215])).
% 7.79/5.75 tff(15218,plain,
% 7.79/5.75 (~v101(constB189)),
% 7.79/5.75 inference(unit_resolution,[status(thm)],[15217, 15210])).
% 7.79/5.75 tff(15219,plain,
% 7.79/5.75 (((~v101(constB189)) | (~v110(constB189))) | v101(constB189)),
% 7.79/5.75 inference(tautology,[status(thm)],[])).
% 7.79/5.75 tff(15220,plain,
% 7.79/5.75 ((~v101(constB189)) | (~v110(constB189))),
% 7.79/5.75 inference(unit_resolution,[status(thm)],[15219, 15218])).
% 7.79/5.75 tff(15221,plain,
% 7.79/5.75 ((~(v100(constB189) <=> (~((~v101(constB189)) | (~v110(constB189)))))) | (~v100(constB189)) | (~((~v101(constB189)) | (~v110(constB189))))),
% 7.79/5.76 inference(tautology,[status(thm)],[])).
% 7.79/5.76 tff(15222,plain,
% 7.79/5.76 (~v100(constB189)),
% 7.79/5.76 inference(unit_resolution,[status(thm)],[15221, 15220, 15203])).
% 7.79/5.76 tff(15223,plain,
% 7.79/5.76 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB189) | (~nextState(constB188, constB189)) | (~(((~v90(constB189, bitIndex1)) <=> v90(constB188, bitIndex1)) | ((~v90(constB189, bitIndex2)) <=> v90(constB188, bitIndex2)) | ((~v90(constB189, bitIndex0)) <=> v90(constB188, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB189) | (~nextState(constB188, constB189)) | (~(((~v90(constB189, bitIndex1)) <=> v90(constB188, bitIndex1)) | ((~v90(constB189, bitIndex2)) <=> v90(constB188, bitIndex2)) | ((~v90(constB189, bitIndex0)) <=> v90(constB188, bitIndex0)))))),
% 7.79/5.76 inference(rewrite,[status(thm)],[])).
% 7.79/5.76 tff(15224,plain,
% 7.79/5.76 ((v100(constB189) | (~nextState(constB188, constB189)) | (~(((~v90(constB189, bitIndex2)) <=> v90(constB188, bitIndex2)) | ((~v90(constB189, bitIndex1)) <=> v90(constB188, bitIndex1)) | ((~v90(constB189, bitIndex0)) <=> v90(constB188, bitIndex0))))) <=> (v100(constB189) | (~nextState(constB188, constB189)) | (~(((~v90(constB189, bitIndex1)) <=> v90(constB188, bitIndex1)) | ((~v90(constB189, bitIndex2)) <=> v90(constB188, bitIndex2)) | ((~v90(constB189, bitIndex0)) <=> v90(constB188, bitIndex0)))))),
% 7.79/5.76 inference(rewrite,[status(thm)],[])).
% 7.79/5.76 tff(15225,plain,
% 7.79/5.76 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB189) | (~nextState(constB188, constB189)) | (~(((~v90(constB189, bitIndex2)) <=> v90(constB188, bitIndex2)) | ((~v90(constB189, bitIndex1)) <=> v90(constB188, bitIndex1)) | ((~v90(constB189, bitIndex0)) <=> v90(constB188, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB189) | (~nextState(constB188, constB189)) | (~(((~v90(constB189, bitIndex1)) <=> v90(constB188, bitIndex1)) | ((~v90(constB189, bitIndex2)) <=> v90(constB188, bitIndex2)) | ((~v90(constB189, bitIndex0)) <=> v90(constB188, bitIndex0))))))),
% 7.79/5.76 inference(monotonicity,[status(thm)],[15224])).
% 7.79/5.76 tff(15226,plain,
% 7.79/5.76 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB189) | (~nextState(constB188, constB189)) | (~(((~v90(constB189, bitIndex2)) <=> v90(constB188, bitIndex2)) | ((~v90(constB189, bitIndex1)) <=> v90(constB188, bitIndex1)) | ((~v90(constB189, bitIndex0)) <=> v90(constB188, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB189) | (~nextState(constB188, constB189)) | (~(((~v90(constB189, bitIndex1)) <=> v90(constB188, bitIndex1)) | ((~v90(constB189, bitIndex2)) <=> v90(constB188, bitIndex2)) | ((~v90(constB189, bitIndex0)) <=> v90(constB188, bitIndex0)))))),
% 7.79/5.76 inference(transitivity,[status(thm)],[15225, 15223])).
% 7.79/5.76 tff(15227,plain,
% 7.79/5.76 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB189) | (~nextState(constB188, constB189)) | (~(((~v90(constB189, bitIndex2)) <=> v90(constB188, bitIndex2)) | ((~v90(constB189, bitIndex1)) <=> v90(constB188, bitIndex1)) | ((~v90(constB189, bitIndex0)) <=> v90(constB188, bitIndex0)))))),
% 7.79/5.76 inference(quant_inst,[status(thm)],[])).
% 7.79/5.76 tff(15228,plain,
% 7.79/5.76 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB189) | (~nextState(constB188, constB189)) | (~(((~v90(constB189, bitIndex1)) <=> v90(constB188, bitIndex1)) | ((~v90(constB189, bitIndex2)) <=> v90(constB188, bitIndex2)) | ((~v90(constB189, bitIndex0)) <=> v90(constB188, bitIndex0))))),
% 7.79/5.76 inference(modus_ponens,[status(thm)],[15227, 15226])).
% 7.79/5.76 tff(15229,plain,
% 7.79/5.76 (v100(constB189) | (~(((~v90(constB189, bitIndex1)) <=> v90(constB188, bitIndex1)) | ((~v90(constB189, bitIndex2)) <=> v90(constB188, bitIndex2)) | ((~v90(constB189, bitIndex0)) <=> v90(constB188, bitIndex0))))),
% 7.79/5.76 inference(unit_resolution,[status(thm)],[15228, 15199, 494])).
% 7.79/5.76 tff(15230,plain,
% 7.79/5.76 (~(((~v90(constB189, bitIndex1)) <=> v90(constB188, bitIndex1)) | ((~v90(constB189, bitIndex2)) <=> v90(constB188, bitIndex2)) | ((~v90(constB189, bitIndex0)) <=> v90(constB188, bitIndex0)))),
% 7.79/5.76 inference(unit_resolution,[status(thm)],[15229, 15222])).
% 7.79/5.76 tff(15231,plain,
% 7.79/5.76 ((((~v90(constB189, bitIndex1)) <=> v90(constB188, bitIndex1)) | ((~v90(constB189, bitIndex2)) <=> v90(constB188, bitIndex2)) | ((~v90(constB189, bitIndex0)) <=> v90(constB188, bitIndex0))) | (~((~v90(constB189, bitIndex2)) <=> v90(constB188, bitIndex2)))),
% 7.79/5.76 inference(tautology,[status(thm)],[])).
% 7.79/5.76 tff(15232,plain,
% 7.79/5.76 (~((~v90(constB189, bitIndex2)) <=> v90(constB188, bitIndex2))),
% 7.79/5.76 inference(unit_resolution,[status(thm)],[15231, 15230])).
% 7.79/5.76 tff(15233,plain,
% 7.79/5.76 (nextState(constB187, constB188) <=> nextState(constB187, constB188)),
% 7.79/5.76 inference(rewrite,[status(thm)],[])).
% 7.79/5.76 tff(15234,axiom,(nextState(constB187, constB188)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_187')).
% 7.79/5.76 tff(15235,plain,
% 7.79/5.76 (nextState(constB187, constB188)),
% 7.79/5.76 inference(modus_ponens,[status(thm)],[15234, 15233])).
% 7.79/5.76 tff(15236,plain,
% 7.79/5.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB187, constB188)) | (~(((~v129(constB188, bitIndex2)) <=> v127(constB187, bitIndex2)) | ((~v129(constB188, bitIndex1)) <=> v127(constB187, bitIndex1)) | ((~v129(constB188, bitIndex0)) <=> v127(constB187, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB187, constB188)) | (~(((~v129(constB188, bitIndex2)) <=> v127(constB187, bitIndex2)) | ((~v129(constB188, bitIndex1)) <=> v127(constB187, bitIndex1)) | ((~v129(constB188, bitIndex0)) <=> v127(constB187, bitIndex0)))))),
% 7.79/5.76 inference(rewrite,[status(thm)],[])).
% 7.79/5.76 tff(15237,plain,
% 7.79/5.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB187, constB188)) | (~(((~v129(constB188, bitIndex2)) <=> v127(constB187, bitIndex2)) | ((~v129(constB188, bitIndex1)) <=> v127(constB187, bitIndex1)) | ((~v129(constB188, bitIndex0)) <=> v127(constB187, bitIndex0)))))),
% 7.79/5.76 inference(quant_inst,[status(thm)],[])).
% 7.79/5.76 tff(15238,plain,
% 7.79/5.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB187, constB188)) | (~(((~v129(constB188, bitIndex2)) <=> v127(constB187, bitIndex2)) | ((~v129(constB188, bitIndex1)) <=> v127(constB187, bitIndex1)) | ((~v129(constB188, bitIndex0)) <=> v127(constB187, bitIndex0))))),
% 7.79/5.76 inference(modus_ponens,[status(thm)],[15237, 15236])).
% 7.79/5.76 tff(15239,plain,
% 7.79/5.76 (~(((~v129(constB188, bitIndex2)) <=> v127(constB187, bitIndex2)) | ((~v129(constB188, bitIndex1)) <=> v127(constB187, bitIndex1)) | ((~v129(constB188, bitIndex0)) <=> v127(constB187, bitIndex0)))),
% 7.79/5.76 inference(unit_resolution,[status(thm)],[15238, 15235, 517])).
% 7.79/5.76 tff(15240,plain,
% 7.79/5.76 ((((~v129(constB188, bitIndex2)) <=> v127(constB187, bitIndex2)) | ((~v129(constB188, bitIndex1)) <=> v127(constB187, bitIndex1)) | ((~v129(constB188, bitIndex0)) <=> v127(constB187, bitIndex0))) | (~((~v129(constB188, bitIndex2)) <=> v127(constB187, bitIndex2)))),
% 7.79/5.76 inference(tautology,[status(thm)],[])).
% 7.79/5.76 tff(15241,plain,
% 7.79/5.76 (~((~v129(constB188, bitIndex2)) <=> v127(constB187, bitIndex2))),
% 7.79/5.76 inference(unit_resolution,[status(thm)],[15240, 15239])).
% 7.79/5.76 tff(15242,plain,
% 7.79/5.76 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB187) <=> v26(constB187))),
% 7.79/5.76 inference(quant_inst,[status(thm)],[])).
% 7.79/5.76 tff(15243,plain,
% 7.79/5.76 (v111(constB187) <=> v26(constB187)),
% 7.79/5.76 inference(unit_resolution,[status(thm)],[15242, 536])).
% 7.79/5.76 tff(15244,plain,
% 7.79/5.76 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB187))),
% 7.79/5.76 inference(quant_inst,[status(thm)],[])).
% 7.79/5.76 tff(15245,plain,
% 7.79/5.76 (~v26(constB187)),
% 7.79/5.76 inference(unit_resolution,[status(thm)],[15244, 548])).
% 7.79/5.76 tff(15246,plain,
% 7.79/5.76 ((~(v111(constB187) <=> v26(constB187))) | (~v111(constB187)) | v26(constB187)),
% 7.79/5.76 inference(tautology,[status(thm)],[])).
% 7.79/5.76 tff(15247,plain,
% 7.79/5.76 ((~(v111(constB187) <=> v26(constB187))) | (~v111(constB187))),
% 7.79/5.76 inference(unit_resolution,[status(thm)],[15246, 15245])).
% 7.79/5.76 tff(15248,plain,
% 7.79/5.76 (~v111(constB187)),
% 7.79/5.76 inference(unit_resolution,[status(thm)],[15247, 15243])).
% 7.79/5.76 tff(15249,plain,
% 7.79/5.76 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB187) | (~(((~v127(constB187, bitIndex2)) <=> v130(constB187, bitIndex2)) | ((~v127(constB187, bitIndex1)) <=> v130(constB187, bitIndex1)) | ((~v127(constB187, bitIndex0)) <=> v130(constB187, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB187) | (~(((~v127(constB187, bitIndex2)) <=> v130(constB187, bitIndex2)) | ((~v127(constB187, bitIndex1)) <=> v130(constB187, bitIndex1)) | ((~v127(constB187, bitIndex0)) <=> v130(constB187, bitIndex0)))))),
% 7.79/5.76 inference(rewrite,[status(thm)],[])).
% 7.79/5.76 tff(15250,plain,
% 7.79/5.76 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB187) | (~(((~v127(constB187, bitIndex2)) <=> v130(constB187, bitIndex2)) | ((~v127(constB187, bitIndex1)) <=> v130(constB187, bitIndex1)) | ((~v127(constB187, bitIndex0)) <=> v130(constB187, bitIndex0)))))),
% 7.79/5.76 inference(quant_inst,[status(thm)],[])).
% 7.79/5.76 tff(15251,plain,
% 7.79/5.76 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB187) | (~(((~v127(constB187, bitIndex2)) <=> v130(constB187, bitIndex2)) | ((~v127(constB187, bitIndex1)) <=> v130(constB187, bitIndex1)) | ((~v127(constB187, bitIndex0)) <=> v130(constB187, bitIndex0))))),
% 7.79/5.76 inference(modus_ponens,[status(thm)],[15250, 15249])).
% 7.79/5.76 tff(15252,plain,
% 7.79/5.76 (v111(constB187) | (~(((~v127(constB187, bitIndex2)) <=> v130(constB187, bitIndex2)) | ((~v127(constB187, bitIndex1)) <=> v130(constB187, bitIndex1)) | ((~v127(constB187, bitIndex0)) <=> v130(constB187, bitIndex0))))),
% 7.79/5.76 inference(unit_resolution,[status(thm)],[15251, 566])).
% 7.79/5.76 tff(15253,plain,
% 7.79/5.76 (~(((~v127(constB187, bitIndex2)) <=> v130(constB187, bitIndex2)) | ((~v127(constB187, bitIndex1)) <=> v130(constB187, bitIndex1)) | ((~v127(constB187, bitIndex0)) <=> v130(constB187, bitIndex0)))),
% 7.79/5.76 inference(unit_resolution,[status(thm)],[15252, 15248])).
% 7.79/5.76 tff(15254,plain,
% 7.79/5.76 ((((~v127(constB187, bitIndex2)) <=> v130(constB187, bitIndex2)) | ((~v127(constB187, bitIndex1)) <=> v130(constB187, bitIndex1)) | ((~v127(constB187, bitIndex0)) <=> v130(constB187, bitIndex0))) | (~((~v127(constB187, bitIndex2)) <=> v130(constB187, bitIndex2)))),
% 7.79/5.76 inference(tautology,[status(thm)],[])).
% 7.79/5.76 tff(15255,plain,
% 7.79/5.76 (~((~v127(constB187, bitIndex2)) <=> v130(constB187, bitIndex2))),
% 7.79/5.76 inference(unit_resolution,[status(thm)],[15254, 15253])).
% 7.79/5.76 tff(15256,plain,
% 7.79/5.76 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB187) <=> (~(v90(constB187, bitIndex1) | v90(constB187, bitIndex2) | (~v90(constB187, bitIndex0)))))),
% 7.79/5.76 inference(quant_inst,[status(thm)],[])).
% 7.79/5.76 tff(15257,plain,
% 7.79/5.76 (v120(constB187) <=> (~(v90(constB187, bitIndex1) | v90(constB187, bitIndex2) | (~v90(constB187, bitIndex0))))),
% 7.79/5.76 inference(unit_resolution,[status(thm)],[15256, 665])).
% 7.79/5.76 tff(15258,plain,
% 7.79/5.76 (nextState(constB186, constB187) <=> nextState(constB186, constB187)),
% 7.79/5.76 inference(rewrite,[status(thm)],[])).
% 7.79/5.76 tff(15259,axiom,(nextState(constB186, constB187)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_186')).
% 7.79/5.76 tff(15260,plain,
% 7.79/5.76 (nextState(constB186, constB187)),
% 7.79/5.76 inference(modus_ponens,[status(thm)],[15259, 15258])).
% 7.79/5.76 tff(15261,plain,
% 7.79/5.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB186, constB187)) | (v100(constB187) <=> (~((~v101(constB187)) | (~v110(constB187))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB186, constB187)) | (v100(constB187) <=> (~((~v101(constB187)) | (~v110(constB187))))))),
% 7.79/5.76 inference(rewrite,[status(thm)],[])).
% 7.79/5.76 tff(15262,plain,
% 7.79/5.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB186, constB187)) | (v100(constB187) <=> (~((~v101(constB187)) | (~v110(constB187))))))),
% 7.79/5.76 inference(quant_inst,[status(thm)],[])).
% 7.79/5.76 tff(15263,plain,
% 7.79/5.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB186, constB187)) | (v100(constB187) <=> (~((~v101(constB187)) | (~v110(constB187)))))),
% 7.79/5.76 inference(modus_ponens,[status(thm)],[15262, 15261])).
% 7.79/5.76 tff(15264,plain,
% 7.79/5.76 (v100(constB187) <=> (~((~v101(constB187)) | (~v110(constB187))))),
% 7.79/5.76 inference(unit_resolution,[status(thm)],[15263, 15260, 445])).
% 7.79/5.76 tff(15265,plain,
% 7.79/5.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB186, constB187)) | (v101(constB187) <=> (~((~v1(constB187)) | (~v102(constB187))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB186, constB187)) | (v101(constB187) <=> (~((~v1(constB187)) | (~v102(constB187))))))),
% 7.79/5.76 inference(rewrite,[status(thm)],[])).
% 7.79/5.76 tff(15266,plain,
% 7.79/5.76 (((~nextState(constB186, constB187)) | (v101(constB187) <=> (~((~v102(constB187)) | (~v1(constB187)))))) <=> ((~nextState(constB186, constB187)) | (v101(constB187) <=> (~((~v1(constB187)) | (~v102(constB187))))))),
% 7.79/5.76 inference(rewrite,[status(thm)],[])).
% 7.79/5.76 tff(15267,plain,
% 7.79/5.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB186, constB187)) | (v101(constB187) <=> (~((~v102(constB187)) | (~v1(constB187))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB186, constB187)) | (v101(constB187) <=> (~((~v1(constB187)) | (~v102(constB187)))))))),
% 7.79/5.76 inference(monotonicity,[status(thm)],[15266])).
% 7.79/5.76 tff(15268,plain,
% 7.79/5.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB186, constB187)) | (v101(constB187) <=> (~((~v102(constB187)) | (~v1(constB187))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB186, constB187)) | (v101(constB187) <=> (~((~v1(constB187)) | (~v102(constB187))))))),
% 7.79/5.76 inference(transitivity,[status(thm)],[15267, 15265])).
% 7.79/5.76 tff(15269,plain,
% 7.79/5.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB186, constB187)) | (v101(constB187) <=> (~((~v102(constB187)) | (~v1(constB187))))))),
% 7.79/5.76 inference(quant_inst,[status(thm)],[])).
% 7.79/5.76 tff(15270,plain,
% 7.79/5.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB186, constB187)) | (v101(constB187) <=> (~((~v1(constB187)) | (~v102(constB187)))))),
% 7.79/5.76 inference(modus_ponens,[status(thm)],[15269, 15268])).
% 7.79/5.76 tff(15271,plain,
% 7.79/5.76 (v101(constB187) <=> (~((~v1(constB187)) | (~v102(constB187))))),
% 7.79/5.76 inference(unit_resolution,[status(thm)],[15270, 15260, 465])).
% 7.79/5.76 tff(15272,plain,
% 7.79/5.76 ((~v1(constB187)) <=> (~v1(constB187))),
% 7.79/5.76 inference(rewrite,[status(thm)],[])).
% 7.79/5.76 tff(15273,axiom,(~v1(constB187)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_187')).
% 7.79/5.76 tff(15274,plain,
% 7.79/5.76 (~v1(constB187)),
% 7.79/5.76 inference(modus_ponens,[status(thm)],[15273, 15272])).
% 7.79/5.76 tff(15275,plain,
% 7.79/5.76 (((~v1(constB187)) | (~v102(constB187))) | v1(constB187)),
% 7.79/5.76 inference(tautology,[status(thm)],[])).
% 7.79/5.76 tff(15276,plain,
% 7.79/5.76 ((~v1(constB187)) | (~v102(constB187))),
% 7.79/5.76 inference(unit_resolution,[status(thm)],[15275, 15274])).
% 7.79/5.76 tff(15277,plain,
% 7.79/5.76 ((~(v101(constB187) <=> (~((~v1(constB187)) | (~v102(constB187)))))) | (~v101(constB187)) | (~((~v1(constB187)) | (~v102(constB187))))),
% 7.79/5.76 inference(tautology,[status(thm)],[])).
% 7.79/5.76 tff(15278,plain,
% 7.79/5.76 ((~(v101(constB187) <=> (~((~v1(constB187)) | (~v102(constB187)))))) | (~v101(constB187))),
% 7.79/5.76 inference(unit_resolution,[status(thm)],[15277, 15276])).
% 7.79/5.76 tff(15279,plain,
% 7.79/5.76 (~v101(constB187)),
% 7.79/5.76 inference(unit_resolution,[status(thm)],[15278, 15271])).
% 7.79/5.76 tff(15280,plain,
% 7.79/5.76 (((~v101(constB187)) | (~v110(constB187))) | v101(constB187)),
% 7.79/5.76 inference(tautology,[status(thm)],[])).
% 7.79/5.76 tff(15281,plain,
% 7.79/5.76 ((~v101(constB187)) | (~v110(constB187))),
% 7.79/5.76 inference(unit_resolution,[status(thm)],[15280, 15279])).
% 7.79/5.76 tff(15282,plain,
% 7.79/5.76 ((~(v100(constB187) <=> (~((~v101(constB187)) | (~v110(constB187)))))) | (~v100(constB187)) | (~((~v101(constB187)) | (~v110(constB187))))),
% 7.79/5.76 inference(tautology,[status(thm)],[])).
% 7.79/5.76 tff(15283,plain,
% 7.79/5.76 (~v100(constB187)),
% 7.79/5.76 inference(unit_resolution,[status(thm)],[15282, 15281, 15264])).
% 7.79/5.76 tff(15284,plain,
% 7.79/5.76 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB187) | (~nextState(constB186, constB187)) | (~(((~v90(constB187, bitIndex1)) <=> v90(constB186, bitIndex1)) | ((~v90(constB187, bitIndex2)) <=> v90(constB186, bitIndex2)) | ((~v90(constB187, bitIndex0)) <=> v90(constB186, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB187) | (~nextState(constB186, constB187)) | (~(((~v90(constB187, bitIndex1)) <=> v90(constB186, bitIndex1)) | ((~v90(constB187, bitIndex2)) <=> v90(constB186, bitIndex2)) | ((~v90(constB187, bitIndex0)) <=> v90(constB186, bitIndex0)))))),
% 7.79/5.76 inference(rewrite,[status(thm)],[])).
% 7.79/5.76 tff(15285,plain,
% 7.79/5.76 ((v100(constB187) | (~nextState(constB186, constB187)) | (~(((~v90(constB187, bitIndex2)) <=> v90(constB186, bitIndex2)) | ((~v90(constB187, bitIndex1)) <=> v90(constB186, bitIndex1)) | ((~v90(constB187, bitIndex0)) <=> v90(constB186, bitIndex0))))) <=> (v100(constB187) | (~nextState(constB186, constB187)) | (~(((~v90(constB187, bitIndex1)) <=> v90(constB186, bitIndex1)) | ((~v90(constB187, bitIndex2)) <=> v90(constB186, bitIndex2)) | ((~v90(constB187, bitIndex0)) <=> v90(constB186, bitIndex0)))))),
% 7.79/5.76 inference(rewrite,[status(thm)],[])).
% 7.79/5.76 tff(15286,plain,
% 7.79/5.76 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB187) | (~nextState(constB186, constB187)) | (~(((~v90(constB187, bitIndex2)) <=> v90(constB186, bitIndex2)) | ((~v90(constB187, bitIndex1)) <=> v90(constB186, bitIndex1)) | ((~v90(constB187, bitIndex0)) <=> v90(constB186, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB187) | (~nextState(constB186, constB187)) | (~(((~v90(constB187, bitIndex1)) <=> v90(constB186, bitIndex1)) | ((~v90(constB187, bitIndex2)) <=> v90(constB186, bitIndex2)) | ((~v90(constB187, bitIndex0)) <=> v90(constB186, bitIndex0))))))),
% 7.79/5.76 inference(monotonicity,[status(thm)],[15285])).
% 7.79/5.76 tff(15287,plain,
% 7.79/5.76 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB187) | (~nextState(constB186, constB187)) | (~(((~v90(constB187, bitIndex2)) <=> v90(constB186, bitIndex2)) | ((~v90(constB187, bitIndex1)) <=> v90(constB186, bitIndex1)) | ((~v90(constB187, bitIndex0)) <=> v90(constB186, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB187) | (~nextState(constB186, constB187)) | (~(((~v90(constB187, bitIndex1)) <=> v90(constB186, bitIndex1)) | ((~v90(constB187, bitIndex2)) <=> v90(constB186, bitIndex2)) | ((~v90(constB187, bitIndex0)) <=> v90(constB186, bitIndex0)))))),
% 7.79/5.76 inference(transitivity,[status(thm)],[15286, 15284])).
% 7.79/5.76 tff(15288,plain,
% 7.79/5.76 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB187) | (~nextState(constB186, constB187)) | (~(((~v90(constB187, bitIndex2)) <=> v90(constB186, bitIndex2)) | ((~v90(constB187, bitIndex1)) <=> v90(constB186, bitIndex1)) | ((~v90(constB187, bitIndex0)) <=> v90(constB186, bitIndex0)))))),
% 7.79/5.76 inference(quant_inst,[status(thm)],[])).
% 7.79/5.76 tff(15289,plain,
% 7.79/5.76 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB187) | (~nextState(constB186, constB187)) | (~(((~v90(constB187, bitIndex1)) <=> v90(constB186, bitIndex1)) | ((~v90(constB187, bitIndex2)) <=> v90(constB186, bitIndex2)) | ((~v90(constB187, bitIndex0)) <=> v90(constB186, bitIndex0))))),
% 7.79/5.76 inference(modus_ponens,[status(thm)],[15288, 15287])).
% 7.79/5.76 tff(15290,plain,
% 7.79/5.76 (v100(constB187) | (~(((~v90(constB187, bitIndex1)) <=> v90(constB186, bitIndex1)) | ((~v90(constB187, bitIndex2)) <=> v90(constB186, bitIndex2)) | ((~v90(constB187, bitIndex0)) <=> v90(constB186, bitIndex0))))),
% 7.79/5.76 inference(unit_resolution,[status(thm)],[15289, 15260, 494])).
% 7.79/5.76 tff(15291,plain,
% 7.79/5.76 (~(((~v90(constB187, bitIndex1)) <=> v90(constB186, bitIndex1)) | ((~v90(constB187, bitIndex2)) <=> v90(constB186, bitIndex2)) | ((~v90(constB187, bitIndex0)) <=> v90(constB186, bitIndex0)))),
% 7.79/5.76 inference(unit_resolution,[status(thm)],[15290, 15283])).
% 7.79/5.76 tff(15292,plain,
% 7.79/5.76 ((((~v90(constB187, bitIndex1)) <=> v90(constB186, bitIndex1)) | ((~v90(constB187, bitIndex2)) <=> v90(constB186, bitIndex2)) | ((~v90(constB187, bitIndex0)) <=> v90(constB186, bitIndex0))) | (~((~v90(constB187, bitIndex2)) <=> v90(constB186, bitIndex2)))),
% 7.79/5.76 inference(tautology,[status(thm)],[])).
% 7.79/5.76 tff(15293,plain,
% 7.79/5.76 (~((~v90(constB187, bitIndex2)) <=> v90(constB186, bitIndex2))),
% 7.79/5.76 inference(unit_resolution,[status(thm)],[15292, 15291])).
% 7.79/5.76 tff(15294,plain,
% 7.79/5.76 (nextState(constB185, constB186) <=> nextState(constB185, constB186)),
% 7.79/5.76 inference(rewrite,[status(thm)],[])).
% 7.79/5.76 tff(15295,axiom,(nextState(constB185, constB186)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_185')).
% 7.79/5.76 tff(15296,plain,
% 7.79/5.76 (nextState(constB185, constB186)),
% 7.79/5.76 inference(modus_ponens,[status(thm)],[15295, 15294])).
% 7.79/5.76 tff(15297,plain,
% 7.79/5.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB185, constB186)) | (~(((~v129(constB186, bitIndex2)) <=> v127(constB185, bitIndex2)) | ((~v129(constB186, bitIndex1)) <=> v127(constB185, bitIndex1)) | ((~v129(constB186, bitIndex0)) <=> v127(constB185, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB185, constB186)) | (~(((~v129(constB186, bitIndex2)) <=> v127(constB185, bitIndex2)) | ((~v129(constB186, bitIndex1)) <=> v127(constB185, bitIndex1)) | ((~v129(constB186, bitIndex0)) <=> v127(constB185, bitIndex0)))))),
% 7.79/5.76 inference(rewrite,[status(thm)],[])).
% 7.79/5.76 tff(15298,plain,
% 7.79/5.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB185, constB186)) | (~(((~v129(constB186, bitIndex2)) <=> v127(constB185, bitIndex2)) | ((~v129(constB186, bitIndex1)) <=> v127(constB185, bitIndex1)) | ((~v129(constB186, bitIndex0)) <=> v127(constB185, bitIndex0)))))),
% 7.79/5.76 inference(quant_inst,[status(thm)],[])).
% 7.79/5.76 tff(15299,plain,
% 7.79/5.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB185, constB186)) | (~(((~v129(constB186, bitIndex2)) <=> v127(constB185, bitIndex2)) | ((~v129(constB186, bitIndex1)) <=> v127(constB185, bitIndex1)) | ((~v129(constB186, bitIndex0)) <=> v127(constB185, bitIndex0))))),
% 7.79/5.77 inference(modus_ponens,[status(thm)],[15298, 15297])).
% 7.79/5.77 tff(15300,plain,
% 7.79/5.77 (~(((~v129(constB186, bitIndex2)) <=> v127(constB185, bitIndex2)) | ((~v129(constB186, bitIndex1)) <=> v127(constB185, bitIndex1)) | ((~v129(constB186, bitIndex0)) <=> v127(constB185, bitIndex0)))),
% 7.79/5.77 inference(unit_resolution,[status(thm)],[15299, 15296, 517])).
% 7.79/5.77 tff(15301,plain,
% 7.79/5.77 ((((~v129(constB186, bitIndex2)) <=> v127(constB185, bitIndex2)) | ((~v129(constB186, bitIndex1)) <=> v127(constB185, bitIndex1)) | ((~v129(constB186, bitIndex0)) <=> v127(constB185, bitIndex0))) | (~((~v129(constB186, bitIndex2)) <=> v127(constB185, bitIndex2)))),
% 7.79/5.77 inference(tautology,[status(thm)],[])).
% 7.79/5.77 tff(15302,plain,
% 7.79/5.77 (~((~v129(constB186, bitIndex2)) <=> v127(constB185, bitIndex2))),
% 7.79/5.77 inference(unit_resolution,[status(thm)],[15301, 15300])).
% 7.79/5.77 tff(15303,plain,
% 7.79/5.77 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB185) <=> v26(constB185))),
% 7.79/5.77 inference(quant_inst,[status(thm)],[])).
% 7.79/5.77 tff(15304,plain,
% 7.79/5.77 (v111(constB185) <=> v26(constB185)),
% 7.79/5.77 inference(unit_resolution,[status(thm)],[15303, 536])).
% 7.79/5.77 tff(15305,plain,
% 7.79/5.77 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB185))),
% 7.79/5.77 inference(quant_inst,[status(thm)],[])).
% 7.79/5.77 tff(15306,plain,
% 7.79/5.77 (~v26(constB185)),
% 7.79/5.77 inference(unit_resolution,[status(thm)],[15305, 548])).
% 7.79/5.77 tff(15307,plain,
% 7.79/5.77 ((~(v111(constB185) <=> v26(constB185))) | (~v111(constB185)) | v26(constB185)),
% 7.79/5.77 inference(tautology,[status(thm)],[])).
% 7.79/5.77 tff(15308,plain,
% 7.79/5.77 ((~(v111(constB185) <=> v26(constB185))) | (~v111(constB185))),
% 7.79/5.77 inference(unit_resolution,[status(thm)],[15307, 15306])).
% 7.79/5.77 tff(15309,plain,
% 7.79/5.77 (~v111(constB185)),
% 7.79/5.77 inference(unit_resolution,[status(thm)],[15308, 15304])).
% 7.79/5.77 tff(15310,plain,
% 7.79/5.77 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB185) | (~(((~v127(constB185, bitIndex2)) <=> v130(constB185, bitIndex2)) | ((~v127(constB185, bitIndex1)) <=> v130(constB185, bitIndex1)) | ((~v127(constB185, bitIndex0)) <=> v130(constB185, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB185) | (~(((~v127(constB185, bitIndex2)) <=> v130(constB185, bitIndex2)) | ((~v127(constB185, bitIndex1)) <=> v130(constB185, bitIndex1)) | ((~v127(constB185, bitIndex0)) <=> v130(constB185, bitIndex0)))))),
% 7.79/5.77 inference(rewrite,[status(thm)],[])).
% 7.79/5.77 tff(15311,plain,
% 7.79/5.77 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB185) | (~(((~v127(constB185, bitIndex2)) <=> v130(constB185, bitIndex2)) | ((~v127(constB185, bitIndex1)) <=> v130(constB185, bitIndex1)) | ((~v127(constB185, bitIndex0)) <=> v130(constB185, bitIndex0)))))),
% 7.79/5.77 inference(quant_inst,[status(thm)],[])).
% 7.79/5.77 tff(15312,plain,
% 7.79/5.77 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB185) | (~(((~v127(constB185, bitIndex2)) <=> v130(constB185, bitIndex2)) | ((~v127(constB185, bitIndex1)) <=> v130(constB185, bitIndex1)) | ((~v127(constB185, bitIndex0)) <=> v130(constB185, bitIndex0))))),
% 7.79/5.77 inference(modus_ponens,[status(thm)],[15311, 15310])).
% 7.79/5.77 tff(15313,plain,
% 7.79/5.77 (v111(constB185) | (~(((~v127(constB185, bitIndex2)) <=> v130(constB185, bitIndex2)) | ((~v127(constB185, bitIndex1)) <=> v130(constB185, bitIndex1)) | ((~v127(constB185, bitIndex0)) <=> v130(constB185, bitIndex0))))),
% 7.79/5.77 inference(unit_resolution,[status(thm)],[15312, 566])).
% 7.79/5.77 tff(15314,plain,
% 7.79/5.77 (~(((~v127(constB185, bitIndex2)) <=> v130(constB185, bitIndex2)) | ((~v127(constB185, bitIndex1)) <=> v130(constB185, bitIndex1)) | ((~v127(constB185, bitIndex0)) <=> v130(constB185, bitIndex0)))),
% 7.79/5.77 inference(unit_resolution,[status(thm)],[15313, 15309])).
% 7.79/5.77 tff(15315,plain,
% 7.79/5.77 ((((~v127(constB185, bitIndex2)) <=> v130(constB185, bitIndex2)) | ((~v127(constB185, bitIndex1)) <=> v130(constB185, bitIndex1)) | ((~v127(constB185, bitIndex0)) <=> v130(constB185, bitIndex0))) | (~((~v127(constB185, bitIndex2)) <=> v130(constB185, bitIndex2)))),
% 7.79/5.77 inference(tautology,[status(thm)],[])).
% 7.79/5.77 tff(15316,plain,
% 7.79/5.77 (~((~v127(constB185, bitIndex2)) <=> v130(constB185, bitIndex2))),
% 7.79/5.77 inference(unit_resolution,[status(thm)],[15315, 15314])).
% 7.79/5.77 tff(15317,plain,
% 7.79/5.77 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB185) <=> (~(v90(constB185, bitIndex0) | v90(constB185, bitIndex1) | v90(constB185, bitIndex2))))),
% 7.79/5.77 inference(quant_inst,[status(thm)],[])).
% 7.79/5.77 tff(15318,plain,
% 7.79/5.77 (v119(constB185) <=> (~(v90(constB185, bitIndex0) | v90(constB185, bitIndex1) | v90(constB185, bitIndex2)))),
% 7.79/5.77 inference(unit_resolution,[status(thm)],[15317, 1085])).
% 7.79/5.77 tff(15319,plain,
% 7.79/5.77 (nextState(constB184, constB185) <=> nextState(constB184, constB185)),
% 7.79/5.77 inference(rewrite,[status(thm)],[])).
% 7.79/5.77 tff(15320,axiom,(nextState(constB184, constB185)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_184')).
% 7.79/5.77 tff(15321,plain,
% 7.79/5.77 (nextState(constB184, constB185)),
% 7.79/5.77 inference(modus_ponens,[status(thm)],[15320, 15319])).
% 7.79/5.77 tff(15322,plain,
% 7.79/5.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB184, constB185)) | (v100(constB185) <=> (~((~v101(constB185)) | (~v110(constB185))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB184, constB185)) | (v100(constB185) <=> (~((~v101(constB185)) | (~v110(constB185))))))),
% 7.79/5.77 inference(rewrite,[status(thm)],[])).
% 7.79/5.77 tff(15323,plain,
% 7.79/5.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB184, constB185)) | (v100(constB185) <=> (~((~v101(constB185)) | (~v110(constB185))))))),
% 7.79/5.77 inference(quant_inst,[status(thm)],[])).
% 7.79/5.77 tff(15324,plain,
% 7.79/5.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB184, constB185)) | (v100(constB185) <=> (~((~v101(constB185)) | (~v110(constB185)))))),
% 7.79/5.77 inference(modus_ponens,[status(thm)],[15323, 15322])).
% 7.79/5.77 tff(15325,plain,
% 7.79/5.77 (v100(constB185) <=> (~((~v101(constB185)) | (~v110(constB185))))),
% 7.79/5.77 inference(unit_resolution,[status(thm)],[15324, 15321, 445])).
% 7.79/5.77 tff(15326,plain,
% 7.79/5.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB184, constB185)) | (v101(constB185) <=> (~((~v1(constB185)) | (~v102(constB185))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB184, constB185)) | (v101(constB185) <=> (~((~v1(constB185)) | (~v102(constB185))))))),
% 7.79/5.77 inference(rewrite,[status(thm)],[])).
% 7.79/5.77 tff(15327,plain,
% 7.79/5.77 (((~nextState(constB184, constB185)) | (v101(constB185) <=> (~((~v102(constB185)) | (~v1(constB185)))))) <=> ((~nextState(constB184, constB185)) | (v101(constB185) <=> (~((~v1(constB185)) | (~v102(constB185))))))),
% 7.79/5.77 inference(rewrite,[status(thm)],[])).
% 7.79/5.77 tff(15328,plain,
% 7.79/5.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB184, constB185)) | (v101(constB185) <=> (~((~v102(constB185)) | (~v1(constB185))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB184, constB185)) | (v101(constB185) <=> (~((~v1(constB185)) | (~v102(constB185)))))))),
% 7.79/5.77 inference(monotonicity,[status(thm)],[15327])).
% 7.79/5.77 tff(15329,plain,
% 7.79/5.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB184, constB185)) | (v101(constB185) <=> (~((~v102(constB185)) | (~v1(constB185))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB184, constB185)) | (v101(constB185) <=> (~((~v1(constB185)) | (~v102(constB185))))))),
% 7.79/5.77 inference(transitivity,[status(thm)],[15328, 15326])).
% 7.79/5.77 tff(15330,plain,
% 7.79/5.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB184, constB185)) | (v101(constB185) <=> (~((~v102(constB185)) | (~v1(constB185))))))),
% 7.79/5.77 inference(quant_inst,[status(thm)],[])).
% 7.79/5.77 tff(15331,plain,
% 7.79/5.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB184, constB185)) | (v101(constB185) <=> (~((~v1(constB185)) | (~v102(constB185)))))),
% 7.79/5.77 inference(modus_ponens,[status(thm)],[15330, 15329])).
% 7.79/5.77 tff(15332,plain,
% 7.79/5.77 (v101(constB185) <=> (~((~v1(constB185)) | (~v102(constB185))))),
% 7.79/5.77 inference(unit_resolution,[status(thm)],[15331, 15321, 465])).
% 7.79/5.77 tff(15333,plain,
% 7.79/5.77 ((~v1(constB185)) <=> (~v1(constB185))),
% 7.79/5.77 inference(rewrite,[status(thm)],[])).
% 7.79/5.77 tff(15334,axiom,(~v1(constB185)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_185')).
% 7.79/5.77 tff(15335,plain,
% 7.79/5.77 (~v1(constB185)),
% 7.79/5.77 inference(modus_ponens,[status(thm)],[15334, 15333])).
% 7.79/5.77 tff(15336,plain,
% 7.79/5.77 (((~v1(constB185)) | (~v102(constB185))) | v1(constB185)),
% 7.79/5.77 inference(tautology,[status(thm)],[])).
% 7.79/5.77 tff(15337,plain,
% 7.79/5.77 ((~v1(constB185)) | (~v102(constB185))),
% 7.79/5.77 inference(unit_resolution,[status(thm)],[15336, 15335])).
% 7.79/5.77 tff(15338,plain,
% 7.79/5.77 ((~(v101(constB185) <=> (~((~v1(constB185)) | (~v102(constB185)))))) | (~v101(constB185)) | (~((~v1(constB185)) | (~v102(constB185))))),
% 7.79/5.77 inference(tautology,[status(thm)],[])).
% 7.79/5.77 tff(15339,plain,
% 7.79/5.77 ((~(v101(constB185) <=> (~((~v1(constB185)) | (~v102(constB185)))))) | (~v101(constB185))),
% 7.79/5.77 inference(unit_resolution,[status(thm)],[15338, 15337])).
% 7.79/5.77 tff(15340,plain,
% 7.79/5.77 (~v101(constB185)),
% 7.79/5.77 inference(unit_resolution,[status(thm)],[15339, 15332])).
% 7.79/5.77 tff(15341,plain,
% 7.79/5.77 (((~v101(constB185)) | (~v110(constB185))) | v101(constB185)),
% 7.79/5.77 inference(tautology,[status(thm)],[])).
% 7.79/5.77 tff(15342,plain,
% 7.79/5.77 ((~v101(constB185)) | (~v110(constB185))),
% 7.79/5.77 inference(unit_resolution,[status(thm)],[15341, 15340])).
% 7.79/5.77 tff(15343,plain,
% 7.79/5.77 ((~(v100(constB185) <=> (~((~v101(constB185)) | (~v110(constB185)))))) | (~v100(constB185)) | (~((~v101(constB185)) | (~v110(constB185))))),
% 7.79/5.77 inference(tautology,[status(thm)],[])).
% 7.79/5.77 tff(15344,plain,
% 7.79/5.77 (~v100(constB185)),
% 7.79/5.77 inference(unit_resolution,[status(thm)],[15343, 15342, 15325])).
% 7.79/5.77 tff(15345,plain,
% 7.79/5.77 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB185) | (~nextState(constB184, constB185)) | (~(((~v90(constB185, bitIndex1)) <=> v90(constB184, bitIndex1)) | ((~v90(constB185, bitIndex2)) <=> v90(constB184, bitIndex2)) | ((~v90(constB185, bitIndex0)) <=> v90(constB184, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB185) | (~nextState(constB184, constB185)) | (~(((~v90(constB185, bitIndex1)) <=> v90(constB184, bitIndex1)) | ((~v90(constB185, bitIndex2)) <=> v90(constB184, bitIndex2)) | ((~v90(constB185, bitIndex0)) <=> v90(constB184, bitIndex0)))))),
% 7.79/5.77 inference(rewrite,[status(thm)],[])).
% 7.79/5.77 tff(15346,plain,
% 7.79/5.77 ((v100(constB185) | (~nextState(constB184, constB185)) | (~(((~v90(constB185, bitIndex2)) <=> v90(constB184, bitIndex2)) | ((~v90(constB185, bitIndex1)) <=> v90(constB184, bitIndex1)) | ((~v90(constB185, bitIndex0)) <=> v90(constB184, bitIndex0))))) <=> (v100(constB185) | (~nextState(constB184, constB185)) | (~(((~v90(constB185, bitIndex1)) <=> v90(constB184, bitIndex1)) | ((~v90(constB185, bitIndex2)) <=> v90(constB184, bitIndex2)) | ((~v90(constB185, bitIndex0)) <=> v90(constB184, bitIndex0)))))),
% 7.79/5.77 inference(rewrite,[status(thm)],[])).
% 7.79/5.77 tff(15347,plain,
% 7.79/5.77 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB185) | (~nextState(constB184, constB185)) | (~(((~v90(constB185, bitIndex2)) <=> v90(constB184, bitIndex2)) | ((~v90(constB185, bitIndex1)) <=> v90(constB184, bitIndex1)) | ((~v90(constB185, bitIndex0)) <=> v90(constB184, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB185) | (~nextState(constB184, constB185)) | (~(((~v90(constB185, bitIndex1)) <=> v90(constB184, bitIndex1)) | ((~v90(constB185, bitIndex2)) <=> v90(constB184, bitIndex2)) | ((~v90(constB185, bitIndex0)) <=> v90(constB184, bitIndex0))))))),
% 7.79/5.77 inference(monotonicity,[status(thm)],[15346])).
% 7.79/5.77 tff(15348,plain,
% 7.79/5.77 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB185) | (~nextState(constB184, constB185)) | (~(((~v90(constB185, bitIndex2)) <=> v90(constB184, bitIndex2)) | ((~v90(constB185, bitIndex1)) <=> v90(constB184, bitIndex1)) | ((~v90(constB185, bitIndex0)) <=> v90(constB184, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB185) | (~nextState(constB184, constB185)) | (~(((~v90(constB185, bitIndex1)) <=> v90(constB184, bitIndex1)) | ((~v90(constB185, bitIndex2)) <=> v90(constB184, bitIndex2)) | ((~v90(constB185, bitIndex0)) <=> v90(constB184, bitIndex0)))))),
% 7.79/5.77 inference(transitivity,[status(thm)],[15347, 15345])).
% 7.79/5.77 tff(15349,plain,
% 7.79/5.77 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB185) | (~nextState(constB184, constB185)) | (~(((~v90(constB185, bitIndex2)) <=> v90(constB184, bitIndex2)) | ((~v90(constB185, bitIndex1)) <=> v90(constB184, bitIndex1)) | ((~v90(constB185, bitIndex0)) <=> v90(constB184, bitIndex0)))))),
% 7.79/5.77 inference(quant_inst,[status(thm)],[])).
% 7.79/5.77 tff(15350,plain,
% 7.79/5.77 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB185) | (~nextState(constB184, constB185)) | (~(((~v90(constB185, bitIndex1)) <=> v90(constB184, bitIndex1)) | ((~v90(constB185, bitIndex2)) <=> v90(constB184, bitIndex2)) | ((~v90(constB185, bitIndex0)) <=> v90(constB184, bitIndex0))))),
% 7.79/5.77 inference(modus_ponens,[status(thm)],[15349, 15348])).
% 7.79/5.77 tff(15351,plain,
% 7.79/5.77 (v100(constB185) | (~(((~v90(constB185, bitIndex1)) <=> v90(constB184, bitIndex1)) | ((~v90(constB185, bitIndex2)) <=> v90(constB184, bitIndex2)) | ((~v90(constB185, bitIndex0)) <=> v90(constB184, bitIndex0))))),
% 7.79/5.77 inference(unit_resolution,[status(thm)],[15350, 15321, 494])).
% 7.79/5.77 tff(15352,plain,
% 7.79/5.77 (~(((~v90(constB185, bitIndex1)) <=> v90(constB184, bitIndex1)) | ((~v90(constB185, bitIndex2)) <=> v90(constB184, bitIndex2)) | ((~v90(constB185, bitIndex0)) <=> v90(constB184, bitIndex0)))),
% 7.79/5.77 inference(unit_resolution,[status(thm)],[15351, 15344])).
% 7.79/5.77 tff(15353,plain,
% 7.79/5.77 ((((~v90(constB185, bitIndex1)) <=> v90(constB184, bitIndex1)) | ((~v90(constB185, bitIndex2)) <=> v90(constB184, bitIndex2)) | ((~v90(constB185, bitIndex0)) <=> v90(constB184, bitIndex0))) | (~((~v90(constB185, bitIndex2)) <=> v90(constB184, bitIndex2)))),
% 7.79/5.77 inference(tautology,[status(thm)],[])).
% 7.79/5.77 tff(15354,plain,
% 7.79/5.77 (~((~v90(constB185, bitIndex2)) <=> v90(constB184, bitIndex2))),
% 7.79/5.77 inference(unit_resolution,[status(thm)],[15353, 15352])).
% 7.79/5.77 tff(15355,plain,
% 7.79/5.77 (nextState(constB183, constB184) <=> nextState(constB183, constB184)),
% 7.79/5.77 inference(rewrite,[status(thm)],[])).
% 7.79/5.77 tff(15356,axiom,(nextState(constB183, constB184)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_183')).
% 7.79/5.77 tff(15357,plain,
% 7.79/5.77 (nextState(constB183, constB184)),
% 7.79/5.77 inference(modus_ponens,[status(thm)],[15356, 15355])).
% 7.79/5.77 tff(15358,plain,
% 7.79/5.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB183, constB184)) | (~(((~v129(constB184, bitIndex2)) <=> v127(constB183, bitIndex2)) | ((~v129(constB184, bitIndex1)) <=> v127(constB183, bitIndex1)) | ((~v129(constB184, bitIndex0)) <=> v127(constB183, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB183, constB184)) | (~(((~v129(constB184, bitIndex2)) <=> v127(constB183, bitIndex2)) | ((~v129(constB184, bitIndex1)) <=> v127(constB183, bitIndex1)) | ((~v129(constB184, bitIndex0)) <=> v127(constB183, bitIndex0)))))),
% 7.79/5.77 inference(rewrite,[status(thm)],[])).
% 7.79/5.77 tff(15359,plain,
% 7.79/5.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB183, constB184)) | (~(((~v129(constB184, bitIndex2)) <=> v127(constB183, bitIndex2)) | ((~v129(constB184, bitIndex1)) <=> v127(constB183, bitIndex1)) | ((~v129(constB184, bitIndex0)) <=> v127(constB183, bitIndex0)))))),
% 7.79/5.77 inference(quant_inst,[status(thm)],[])).
% 7.79/5.77 tff(15360,plain,
% 7.79/5.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB183, constB184)) | (~(((~v129(constB184, bitIndex2)) <=> v127(constB183, bitIndex2)) | ((~v129(constB184, bitIndex1)) <=> v127(constB183, bitIndex1)) | ((~v129(constB184, bitIndex0)) <=> v127(constB183, bitIndex0))))),
% 7.79/5.77 inference(modus_ponens,[status(thm)],[15359, 15358])).
% 7.79/5.77 tff(15361,plain,
% 7.79/5.77 (~(((~v129(constB184, bitIndex2)) <=> v127(constB183, bitIndex2)) | ((~v129(constB184, bitIndex1)) <=> v127(constB183, bitIndex1)) | ((~v129(constB184, bitIndex0)) <=> v127(constB183, bitIndex0)))),
% 7.79/5.77 inference(unit_resolution,[status(thm)],[15360, 15357, 517])).
% 7.79/5.77 tff(15362,plain,
% 7.79/5.77 ((((~v129(constB184, bitIndex2)) <=> v127(constB183, bitIndex2)) | ((~v129(constB184, bitIndex1)) <=> v127(constB183, bitIndex1)) | ((~v129(constB184, bitIndex0)) <=> v127(constB183, bitIndex0))) | (~((~v129(constB184, bitIndex2)) <=> v127(constB183, bitIndex2)))),
% 7.79/5.77 inference(tautology,[status(thm)],[])).
% 7.79/5.77 tff(15363,plain,
% 7.79/5.77 (~((~v129(constB184, bitIndex2)) <=> v127(constB183, bitIndex2))),
% 7.79/5.77 inference(unit_resolution,[status(thm)],[15362, 15361])).
% 7.79/5.77 tff(15364,plain,
% 7.79/5.77 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB183) <=> v26(constB183))),
% 7.79/5.77 inference(quant_inst,[status(thm)],[])).
% 7.79/5.77 tff(15365,plain,
% 7.79/5.77 (v111(constB183) <=> v26(constB183)),
% 7.79/5.77 inference(unit_resolution,[status(thm)],[15364, 536])).
% 7.79/5.77 tff(15366,plain,
% 7.79/5.77 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB183))),
% 7.79/5.77 inference(quant_inst,[status(thm)],[])).
% 7.79/5.77 tff(15367,plain,
% 7.79/5.77 (~v26(constB183)),
% 7.79/5.77 inference(unit_resolution,[status(thm)],[15366, 548])).
% 7.79/5.77 tff(15368,plain,
% 7.79/5.77 ((~(v111(constB183) <=> v26(constB183))) | (~v111(constB183)) | v26(constB183)),
% 7.79/5.77 inference(tautology,[status(thm)],[])).
% 7.79/5.77 tff(15369,plain,
% 7.79/5.77 ((~(v111(constB183) <=> v26(constB183))) | (~v111(constB183))),
% 7.79/5.77 inference(unit_resolution,[status(thm)],[15368, 15367])).
% 7.79/5.77 tff(15370,plain,
% 7.79/5.77 (~v111(constB183)),
% 7.79/5.77 inference(unit_resolution,[status(thm)],[15369, 15365])).
% 7.79/5.77 tff(15371,plain,
% 7.79/5.77 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB183) | (~(((~v127(constB183, bitIndex2)) <=> v130(constB183, bitIndex2)) | ((~v127(constB183, bitIndex1)) <=> v130(constB183, bitIndex1)) | ((~v127(constB183, bitIndex0)) <=> v130(constB183, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB183) | (~(((~v127(constB183, bitIndex2)) <=> v130(constB183, bitIndex2)) | ((~v127(constB183, bitIndex1)) <=> v130(constB183, bitIndex1)) | ((~v127(constB183, bitIndex0)) <=> v130(constB183, bitIndex0)))))),
% 7.79/5.77 inference(rewrite,[status(thm)],[])).
% 7.79/5.77 tff(15372,plain,
% 7.79/5.77 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB183) | (~(((~v127(constB183, bitIndex2)) <=> v130(constB183, bitIndex2)) | ((~v127(constB183, bitIndex1)) <=> v130(constB183, bitIndex1)) | ((~v127(constB183, bitIndex0)) <=> v130(constB183, bitIndex0)))))),
% 7.79/5.77 inference(quant_inst,[status(thm)],[])).
% 7.79/5.77 tff(15373,plain,
% 7.79/5.77 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB183) | (~(((~v127(constB183, bitIndex2)) <=> v130(constB183, bitIndex2)) | ((~v127(constB183, bitIndex1)) <=> v130(constB183, bitIndex1)) | ((~v127(constB183, bitIndex0)) <=> v130(constB183, bitIndex0))))),
% 7.79/5.77 inference(modus_ponens,[status(thm)],[15372, 15371])).
% 7.79/5.77 tff(15374,plain,
% 7.79/5.77 (v111(constB183) | (~(((~v127(constB183, bitIndex2)) <=> v130(constB183, bitIndex2)) | ((~v127(constB183, bitIndex1)) <=> v130(constB183, bitIndex1)) | ((~v127(constB183, bitIndex0)) <=> v130(constB183, bitIndex0))))),
% 7.79/5.77 inference(unit_resolution,[status(thm)],[15373, 566])).
% 7.79/5.77 tff(15375,plain,
% 7.79/5.77 (~(((~v127(constB183, bitIndex2)) <=> v130(constB183, bitIndex2)) | ((~v127(constB183, bitIndex1)) <=> v130(constB183, bitIndex1)) | ((~v127(constB183, bitIndex0)) <=> v130(constB183, bitIndex0)))),
% 7.79/5.77 inference(unit_resolution,[status(thm)],[15374, 15370])).
% 7.79/5.77 tff(15376,plain,
% 7.79/5.77 ((((~v127(constB183, bitIndex2)) <=> v130(constB183, bitIndex2)) | ((~v127(constB183, bitIndex1)) <=> v130(constB183, bitIndex1)) | ((~v127(constB183, bitIndex0)) <=> v130(constB183, bitIndex0))) | (~((~v127(constB183, bitIndex2)) <=> v130(constB183, bitIndex2)))),
% 7.79/5.77 inference(tautology,[status(thm)],[])).
% 7.79/5.77 tff(15377,plain,
% 7.79/5.77 (~((~v127(constB183, bitIndex2)) <=> v130(constB183, bitIndex2))),
% 7.79/5.77 inference(unit_resolution,[status(thm)],[15376, 15375])).
% 7.79/5.77 tff(15378,plain,
% 7.79/5.77 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB183) <=> (~(v90(constB183, bitIndex1) | v90(constB183, bitIndex0) | (~v90(constB183, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB183) <=> (~(v90(constB183, bitIndex1) | v90(constB183, bitIndex0) | (~v90(constB183, bitIndex2))))))),
% 7.79/5.77 inference(rewrite,[status(thm)],[])).
% 7.79/5.77 tff(15379,plain,
% 7.79/5.77 ((v123(constB183) <=> (~(v90(constB183, bitIndex0) | v90(constB183, bitIndex1) | (~v90(constB183, bitIndex2))))) <=> (v123(constB183) <=> (~(v90(constB183, bitIndex1) | v90(constB183, bitIndex0) | (~v90(constB183, bitIndex2)))))),
% 7.79/5.77 inference(rewrite,[status(thm)],[])).
% 7.79/5.77 tff(15380,plain,
% 7.79/5.77 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB183) <=> (~(v90(constB183, bitIndex0) | v90(constB183, bitIndex1) | (~v90(constB183, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB183) <=> (~(v90(constB183, bitIndex1) | v90(constB183, bitIndex0) | (~v90(constB183, bitIndex2))))))),
% 7.79/5.77 inference(monotonicity,[status(thm)],[15379])).
% 7.79/5.77 tff(15381,plain,
% 7.79/5.77 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB183) <=> (~(v90(constB183, bitIndex0) | v90(constB183, bitIndex1) | (~v90(constB183, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB183) <=> (~(v90(constB183, bitIndex1) | v90(constB183, bitIndex0) | (~v90(constB183, bitIndex2))))))),
% 7.79/5.77 inference(transitivity,[status(thm)],[15380, 15378])).
% 7.79/5.77 tff(15382,plain,
% 7.79/5.77 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB183) <=> (~(v90(constB183, bitIndex0) | v90(constB183, bitIndex1) | (~v90(constB183, bitIndex2)))))),
% 7.79/5.77 inference(quant_inst,[status(thm)],[])).
% 7.79/5.77 tff(15383,plain,
% 7.79/5.77 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB183) <=> (~(v90(constB183, bitIndex1) | v90(constB183, bitIndex0) | (~v90(constB183, bitIndex2)))))),
% 7.79/5.77 inference(modus_ponens,[status(thm)],[15382, 15381])).
% 7.79/5.77 tff(15384,plain,
% 7.79/5.77 (v123(constB183) <=> (~(v90(constB183, bitIndex1) | v90(constB183, bitIndex0) | (~v90(constB183, bitIndex2))))),
% 7.79/5.77 inference(unit_resolution,[status(thm)],[15383, 800])).
% 7.79/5.77 tff(15385,plain,
% 7.79/5.77 (nextState(constB182, constB183) <=> nextState(constB182, constB183)),
% 7.79/5.77 inference(rewrite,[status(thm)],[])).
% 7.79/5.77 tff(15386,axiom,(nextState(constB182, constB183)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_182')).
% 7.79/5.77 tff(15387,plain,
% 7.79/5.77 (nextState(constB182, constB183)),
% 7.79/5.77 inference(modus_ponens,[status(thm)],[15386, 15385])).
% 7.79/5.77 tff(15388,plain,
% 7.79/5.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB182, constB183)) | (v100(constB183) <=> (~((~v101(constB183)) | (~v110(constB183))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB182, constB183)) | (v100(constB183) <=> (~((~v101(constB183)) | (~v110(constB183))))))),
% 7.79/5.77 inference(rewrite,[status(thm)],[])).
% 7.79/5.77 tff(15389,plain,
% 7.79/5.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB182, constB183)) | (v100(constB183) <=> (~((~v101(constB183)) | (~v110(constB183))))))),
% 7.79/5.77 inference(quant_inst,[status(thm)],[])).
% 7.79/5.77 tff(15390,plain,
% 7.79/5.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB182, constB183)) | (v100(constB183) <=> (~((~v101(constB183)) | (~v110(constB183)))))),
% 7.79/5.77 inference(modus_ponens,[status(thm)],[15389, 15388])).
% 7.79/5.77 tff(15391,plain,
% 7.79/5.77 (v100(constB183) <=> (~((~v101(constB183)) | (~v110(constB183))))),
% 7.79/5.77 inference(unit_resolution,[status(thm)],[15390, 15387, 445])).
% 7.79/5.77 tff(15392,plain,
% 7.79/5.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB182, constB183)) | (v101(constB183) <=> (~((~v1(constB183)) | (~v102(constB183))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB182, constB183)) | (v101(constB183) <=> (~((~v1(constB183)) | (~v102(constB183))))))),
% 7.79/5.77 inference(rewrite,[status(thm)],[])).
% 7.79/5.77 tff(15393,plain,
% 7.79/5.77 (((~nextState(constB182, constB183)) | (v101(constB183) <=> (~((~v102(constB183)) | (~v1(constB183)))))) <=> ((~nextState(constB182, constB183)) | (v101(constB183) <=> (~((~v1(constB183)) | (~v102(constB183))))))),
% 7.79/5.77 inference(rewrite,[status(thm)],[])).
% 7.79/5.77 tff(15394,plain,
% 7.79/5.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB182, constB183)) | (v101(constB183) <=> (~((~v102(constB183)) | (~v1(constB183))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB182, constB183)) | (v101(constB183) <=> (~((~v1(constB183)) | (~v102(constB183)))))))),
% 7.79/5.77 inference(monotonicity,[status(thm)],[15393])).
% 7.79/5.77 tff(15395,plain,
% 7.79/5.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB182, constB183)) | (v101(constB183) <=> (~((~v102(constB183)) | (~v1(constB183))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB182, constB183)) | (v101(constB183) <=> (~((~v1(constB183)) | (~v102(constB183))))))),
% 7.79/5.77 inference(transitivity,[status(thm)],[15394, 15392])).
% 7.79/5.77 tff(15396,plain,
% 7.79/5.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB182, constB183)) | (v101(constB183) <=> (~((~v102(constB183)) | (~v1(constB183))))))),
% 7.79/5.77 inference(quant_inst,[status(thm)],[])).
% 7.79/5.77 tff(15397,plain,
% 7.79/5.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB182, constB183)) | (v101(constB183) <=> (~((~v1(constB183)) | (~v102(constB183)))))),
% 7.79/5.77 inference(modus_ponens,[status(thm)],[15396, 15395])).
% 7.79/5.77 tff(15398,plain,
% 7.79/5.77 (v101(constB183) <=> (~((~v1(constB183)) | (~v102(constB183))))),
% 7.79/5.77 inference(unit_resolution,[status(thm)],[15397, 15387, 465])).
% 7.79/5.77 tff(15399,plain,
% 7.79/5.77 ((~v1(constB183)) <=> (~v1(constB183))),
% 7.79/5.77 inference(rewrite,[status(thm)],[])).
% 7.79/5.77 tff(15400,axiom,(~v1(constB183)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_183')).
% 7.79/5.77 tff(15401,plain,
% 7.79/5.77 (~v1(constB183)),
% 7.79/5.77 inference(modus_ponens,[status(thm)],[15400, 15399])).
% 7.79/5.77 tff(15402,plain,
% 7.79/5.77 (((~v1(constB183)) | (~v102(constB183))) | v1(constB183)),
% 7.79/5.77 inference(tautology,[status(thm)],[])).
% 7.79/5.77 tff(15403,plain,
% 7.79/5.77 ((~v1(constB183)) | (~v102(constB183))),
% 7.79/5.77 inference(unit_resolution,[status(thm)],[15402, 15401])).
% 7.79/5.77 tff(15404,plain,
% 7.79/5.77 ((~(v101(constB183) <=> (~((~v1(constB183)) | (~v102(constB183)))))) | (~v101(constB183)) | (~((~v1(constB183)) | (~v102(constB183))))),
% 7.79/5.78 inference(tautology,[status(thm)],[])).
% 7.79/5.78 tff(15405,plain,
% 7.79/5.78 ((~(v101(constB183) <=> (~((~v1(constB183)) | (~v102(constB183)))))) | (~v101(constB183))),
% 7.79/5.78 inference(unit_resolution,[status(thm)],[15404, 15403])).
% 7.79/5.78 tff(15406,plain,
% 7.79/5.78 (~v101(constB183)),
% 7.79/5.78 inference(unit_resolution,[status(thm)],[15405, 15398])).
% 7.79/5.78 tff(15407,plain,
% 7.79/5.78 (((~v101(constB183)) | (~v110(constB183))) | v101(constB183)),
% 7.79/5.78 inference(tautology,[status(thm)],[])).
% 7.79/5.78 tff(15408,plain,
% 7.79/5.78 ((~v101(constB183)) | (~v110(constB183))),
% 7.79/5.78 inference(unit_resolution,[status(thm)],[15407, 15406])).
% 7.79/5.78 tff(15409,plain,
% 7.79/5.78 ((~(v100(constB183) <=> (~((~v101(constB183)) | (~v110(constB183)))))) | (~v100(constB183)) | (~((~v101(constB183)) | (~v110(constB183))))),
% 7.79/5.78 inference(tautology,[status(thm)],[])).
% 7.79/5.78 tff(15410,plain,
% 7.79/5.78 (~v100(constB183)),
% 7.79/5.78 inference(unit_resolution,[status(thm)],[15409, 15408, 15391])).
% 7.79/5.78 tff(15411,plain,
% 7.79/5.78 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB183) | (~nextState(constB182, constB183)) | (~(((~v90(constB183, bitIndex1)) <=> v90(constB182, bitIndex1)) | ((~v90(constB183, bitIndex2)) <=> v90(constB182, bitIndex2)) | ((~v90(constB183, bitIndex0)) <=> v90(constB182, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB183) | (~nextState(constB182, constB183)) | (~(((~v90(constB183, bitIndex1)) <=> v90(constB182, bitIndex1)) | ((~v90(constB183, bitIndex2)) <=> v90(constB182, bitIndex2)) | ((~v90(constB183, bitIndex0)) <=> v90(constB182, bitIndex0)))))),
% 7.79/5.78 inference(rewrite,[status(thm)],[])).
% 7.79/5.78 tff(15412,plain,
% 7.79/5.78 ((v100(constB183) | (~nextState(constB182, constB183)) | (~(((~v90(constB183, bitIndex2)) <=> v90(constB182, bitIndex2)) | ((~v90(constB183, bitIndex1)) <=> v90(constB182, bitIndex1)) | ((~v90(constB183, bitIndex0)) <=> v90(constB182, bitIndex0))))) <=> (v100(constB183) | (~nextState(constB182, constB183)) | (~(((~v90(constB183, bitIndex1)) <=> v90(constB182, bitIndex1)) | ((~v90(constB183, bitIndex2)) <=> v90(constB182, bitIndex2)) | ((~v90(constB183, bitIndex0)) <=> v90(constB182, bitIndex0)))))),
% 7.79/5.78 inference(rewrite,[status(thm)],[])).
% 7.79/5.78 tff(15413,plain,
% 7.79/5.78 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB183) | (~nextState(constB182, constB183)) | (~(((~v90(constB183, bitIndex2)) <=> v90(constB182, bitIndex2)) | ((~v90(constB183, bitIndex1)) <=> v90(constB182, bitIndex1)) | ((~v90(constB183, bitIndex0)) <=> v90(constB182, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB183) | (~nextState(constB182, constB183)) | (~(((~v90(constB183, bitIndex1)) <=> v90(constB182, bitIndex1)) | ((~v90(constB183, bitIndex2)) <=> v90(constB182, bitIndex2)) | ((~v90(constB183, bitIndex0)) <=> v90(constB182, bitIndex0))))))),
% 7.79/5.78 inference(monotonicity,[status(thm)],[15412])).
% 7.79/5.78 tff(15414,plain,
% 7.79/5.78 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB183) | (~nextState(constB182, constB183)) | (~(((~v90(constB183, bitIndex2)) <=> v90(constB182, bitIndex2)) | ((~v90(constB183, bitIndex1)) <=> v90(constB182, bitIndex1)) | ((~v90(constB183, bitIndex0)) <=> v90(constB182, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB183) | (~nextState(constB182, constB183)) | (~(((~v90(constB183, bitIndex1)) <=> v90(constB182, bitIndex1)) | ((~v90(constB183, bitIndex2)) <=> v90(constB182, bitIndex2)) | ((~v90(constB183, bitIndex0)) <=> v90(constB182, bitIndex0)))))),
% 7.79/5.78 inference(transitivity,[status(thm)],[15413, 15411])).
% 7.79/5.78 tff(15415,plain,
% 7.79/5.78 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB183) | (~nextState(constB182, constB183)) | (~(((~v90(constB183, bitIndex2)) <=> v90(constB182, bitIndex2)) | ((~v90(constB183, bitIndex1)) <=> v90(constB182, bitIndex1)) | ((~v90(constB183, bitIndex0)) <=> v90(constB182, bitIndex0)))))),
% 7.79/5.78 inference(quant_inst,[status(thm)],[])).
% 7.79/5.78 tff(15416,plain,
% 7.79/5.78 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB183) | (~nextState(constB182, constB183)) | (~(((~v90(constB183, bitIndex1)) <=> v90(constB182, bitIndex1)) | ((~v90(constB183, bitIndex2)) <=> v90(constB182, bitIndex2)) | ((~v90(constB183, bitIndex0)) <=> v90(constB182, bitIndex0))))),
% 7.79/5.78 inference(modus_ponens,[status(thm)],[15415, 15414])).
% 7.79/5.78 tff(15417,plain,
% 7.79/5.78 (v100(constB183) | (~(((~v90(constB183, bitIndex1)) <=> v90(constB182, bitIndex1)) | ((~v90(constB183, bitIndex2)) <=> v90(constB182, bitIndex2)) | ((~v90(constB183, bitIndex0)) <=> v90(constB182, bitIndex0))))),
% 7.79/5.78 inference(unit_resolution,[status(thm)],[15416, 15387, 494])).
% 7.79/5.78 tff(15418,plain,
% 7.79/5.78 (~(((~v90(constB183, bitIndex1)) <=> v90(constB182, bitIndex1)) | ((~v90(constB183, bitIndex2)) <=> v90(constB182, bitIndex2)) | ((~v90(constB183, bitIndex0)) <=> v90(constB182, bitIndex0)))),
% 7.79/5.78 inference(unit_resolution,[status(thm)],[15417, 15410])).
% 7.79/5.78 tff(15419,plain,
% 7.79/5.78 ((((~v90(constB183, bitIndex1)) <=> v90(constB182, bitIndex1)) | ((~v90(constB183, bitIndex2)) <=> v90(constB182, bitIndex2)) | ((~v90(constB183, bitIndex0)) <=> v90(constB182, bitIndex0))) | (~((~v90(constB183, bitIndex2)) <=> v90(constB182, bitIndex2)))),
% 7.79/5.78 inference(tautology,[status(thm)],[])).
% 7.79/5.78 tff(15420,plain,
% 7.79/5.78 (~((~v90(constB183, bitIndex2)) <=> v90(constB182, bitIndex2))),
% 7.79/5.78 inference(unit_resolution,[status(thm)],[15419, 15418])).
% 7.79/5.78 tff(15421,plain,
% 7.79/5.78 (nextState(constB181, constB182) <=> nextState(constB181, constB182)),
% 7.79/5.78 inference(rewrite,[status(thm)],[])).
% 7.79/5.78 tff(15422,axiom,(nextState(constB181, constB182)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_181')).
% 7.79/5.78 tff(15423,plain,
% 7.79/5.78 (nextState(constB181, constB182)),
% 7.79/5.78 inference(modus_ponens,[status(thm)],[15422, 15421])).
% 7.79/5.78 tff(15424,plain,
% 7.79/5.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB181, constB182)) | (~(((~v129(constB182, bitIndex2)) <=> v127(constB181, bitIndex2)) | ((~v129(constB182, bitIndex1)) <=> v127(constB181, bitIndex1)) | ((~v129(constB182, bitIndex0)) <=> v127(constB181, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB181, constB182)) | (~(((~v129(constB182, bitIndex2)) <=> v127(constB181, bitIndex2)) | ((~v129(constB182, bitIndex1)) <=> v127(constB181, bitIndex1)) | ((~v129(constB182, bitIndex0)) <=> v127(constB181, bitIndex0)))))),
% 7.79/5.78 inference(rewrite,[status(thm)],[])).
% 7.79/5.78 tff(15425,plain,
% 7.79/5.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB181, constB182)) | (~(((~v129(constB182, bitIndex2)) <=> v127(constB181, bitIndex2)) | ((~v129(constB182, bitIndex1)) <=> v127(constB181, bitIndex1)) | ((~v129(constB182, bitIndex0)) <=> v127(constB181, bitIndex0)))))),
% 7.79/5.78 inference(quant_inst,[status(thm)],[])).
% 7.79/5.78 tff(15426,plain,
% 7.79/5.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB181, constB182)) | (~(((~v129(constB182, bitIndex2)) <=> v127(constB181, bitIndex2)) | ((~v129(constB182, bitIndex1)) <=> v127(constB181, bitIndex1)) | ((~v129(constB182, bitIndex0)) <=> v127(constB181, bitIndex0))))),
% 7.79/5.78 inference(modus_ponens,[status(thm)],[15425, 15424])).
% 7.79/5.78 tff(15427,plain,
% 7.79/5.78 (~(((~v129(constB182, bitIndex2)) <=> v127(constB181, bitIndex2)) | ((~v129(constB182, bitIndex1)) <=> v127(constB181, bitIndex1)) | ((~v129(constB182, bitIndex0)) <=> v127(constB181, bitIndex0)))),
% 7.79/5.78 inference(unit_resolution,[status(thm)],[15426, 15423, 517])).
% 7.79/5.78 tff(15428,plain,
% 7.79/5.78 ((((~v129(constB182, bitIndex2)) <=> v127(constB181, bitIndex2)) | ((~v129(constB182, bitIndex1)) <=> v127(constB181, bitIndex1)) | ((~v129(constB182, bitIndex0)) <=> v127(constB181, bitIndex0))) | (~((~v129(constB182, bitIndex2)) <=> v127(constB181, bitIndex2)))),
% 7.79/5.78 inference(tautology,[status(thm)],[])).
% 7.79/5.78 tff(15429,plain,
% 7.79/5.78 (~((~v129(constB182, bitIndex2)) <=> v127(constB181, bitIndex2))),
% 7.79/5.78 inference(unit_resolution,[status(thm)],[15428, 15427])).
% 7.79/5.78 tff(15430,plain,
% 7.79/5.78 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB181) <=> v26(constB181))),
% 7.79/5.78 inference(quant_inst,[status(thm)],[])).
% 7.79/5.78 tff(15431,plain,
% 7.79/5.78 (v111(constB181) <=> v26(constB181)),
% 7.79/5.78 inference(unit_resolution,[status(thm)],[15430, 536])).
% 7.79/5.78 tff(15432,plain,
% 7.79/5.78 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB181))),
% 7.79/5.78 inference(quant_inst,[status(thm)],[])).
% 7.79/5.78 tff(15433,plain,
% 7.79/5.78 (~v26(constB181)),
% 7.79/5.78 inference(unit_resolution,[status(thm)],[15432, 548])).
% 7.79/5.78 tff(15434,plain,
% 7.79/5.78 ((~(v111(constB181) <=> v26(constB181))) | (~v111(constB181)) | v26(constB181)),
% 7.79/5.78 inference(tautology,[status(thm)],[])).
% 7.79/5.78 tff(15435,plain,
% 7.79/5.78 ((~(v111(constB181) <=> v26(constB181))) | (~v111(constB181))),
% 7.79/5.78 inference(unit_resolution,[status(thm)],[15434, 15433])).
% 7.79/5.78 tff(15436,plain,
% 7.79/5.78 (~v111(constB181)),
% 7.79/5.78 inference(unit_resolution,[status(thm)],[15435, 15431])).
% 7.79/5.78 tff(15437,plain,
% 7.79/5.78 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB181) | (~(((~v127(constB181, bitIndex2)) <=> v130(constB181, bitIndex2)) | ((~v127(constB181, bitIndex1)) <=> v130(constB181, bitIndex1)) | ((~v127(constB181, bitIndex0)) <=> v130(constB181, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB181) | (~(((~v127(constB181, bitIndex2)) <=> v130(constB181, bitIndex2)) | ((~v127(constB181, bitIndex1)) <=> v130(constB181, bitIndex1)) | ((~v127(constB181, bitIndex0)) <=> v130(constB181, bitIndex0)))))),
% 7.79/5.78 inference(rewrite,[status(thm)],[])).
% 7.79/5.78 tff(15438,plain,
% 7.79/5.78 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB181) | (~(((~v127(constB181, bitIndex2)) <=> v130(constB181, bitIndex2)) | ((~v127(constB181, bitIndex1)) <=> v130(constB181, bitIndex1)) | ((~v127(constB181, bitIndex0)) <=> v130(constB181, bitIndex0)))))),
% 7.79/5.78 inference(quant_inst,[status(thm)],[])).
% 7.79/5.78 tff(15439,plain,
% 7.79/5.78 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB181) | (~(((~v127(constB181, bitIndex2)) <=> v130(constB181, bitIndex2)) | ((~v127(constB181, bitIndex1)) <=> v130(constB181, bitIndex1)) | ((~v127(constB181, bitIndex0)) <=> v130(constB181, bitIndex0))))),
% 7.79/5.78 inference(modus_ponens,[status(thm)],[15438, 15437])).
% 7.79/5.78 tff(15440,plain,
% 7.79/5.78 (v111(constB181) | (~(((~v127(constB181, bitIndex2)) <=> v130(constB181, bitIndex2)) | ((~v127(constB181, bitIndex1)) <=> v130(constB181, bitIndex1)) | ((~v127(constB181, bitIndex0)) <=> v130(constB181, bitIndex0))))),
% 7.79/5.78 inference(unit_resolution,[status(thm)],[15439, 566])).
% 7.79/5.78 tff(15441,plain,
% 7.79/5.78 (~(((~v127(constB181, bitIndex2)) <=> v130(constB181, bitIndex2)) | ((~v127(constB181, bitIndex1)) <=> v130(constB181, bitIndex1)) | ((~v127(constB181, bitIndex0)) <=> v130(constB181, bitIndex0)))),
% 7.79/5.78 inference(unit_resolution,[status(thm)],[15440, 15436])).
% 7.79/5.78 tff(15442,plain,
% 7.79/5.78 ((((~v127(constB181, bitIndex2)) <=> v130(constB181, bitIndex2)) | ((~v127(constB181, bitIndex1)) <=> v130(constB181, bitIndex1)) | ((~v127(constB181, bitIndex0)) <=> v130(constB181, bitIndex0))) | (~((~v127(constB181, bitIndex2)) <=> v130(constB181, bitIndex2)))),
% 7.79/5.78 inference(tautology,[status(thm)],[])).
% 7.79/5.78 tff(15443,plain,
% 7.79/5.78 (~((~v127(constB181, bitIndex2)) <=> v130(constB181, bitIndex2))),
% 7.79/5.78 inference(unit_resolution,[status(thm)],[15442, 15441])).
% 7.79/5.78 tff(15444,plain,
% 7.79/5.78 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB181) <=> (~(v90(constB181, bitIndex2) | (~v90(constB181, bitIndex1)) | (~v90(constB181, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB181) <=> (~(v90(constB181, bitIndex2) | (~v90(constB181, bitIndex1)) | (~v90(constB181, bitIndex0))))))),
% 7.79/5.78 inference(rewrite,[status(thm)],[])).
% 7.79/5.78 tff(15445,plain,
% 7.79/5.78 ((v122(constB181) <=> (~(v90(constB181, bitIndex2) | (~v90(constB181, bitIndex0)) | (~v90(constB181, bitIndex1))))) <=> (v122(constB181) <=> (~(v90(constB181, bitIndex2) | (~v90(constB181, bitIndex1)) | (~v90(constB181, bitIndex0)))))),
% 7.79/5.78 inference(rewrite,[status(thm)],[])).
% 7.79/5.78 tff(15446,plain,
% 7.79/5.78 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB181) <=> (~(v90(constB181, bitIndex2) | (~v90(constB181, bitIndex0)) | (~v90(constB181, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB181) <=> (~(v90(constB181, bitIndex2) | (~v90(constB181, bitIndex1)) | (~v90(constB181, bitIndex0))))))),
% 7.79/5.78 inference(monotonicity,[status(thm)],[15445])).
% 7.79/5.78 tff(15447,plain,
% 7.79/5.78 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB181) <=> (~(v90(constB181, bitIndex2) | (~v90(constB181, bitIndex0)) | (~v90(constB181, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB181) <=> (~(v90(constB181, bitIndex2) | (~v90(constB181, bitIndex1)) | (~v90(constB181, bitIndex0))))))),
% 7.79/5.78 inference(transitivity,[status(thm)],[15446, 15444])).
% 7.79/5.78 tff(15448,plain,
% 7.79/5.78 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB181) <=> (~(v90(constB181, bitIndex2) | (~v90(constB181, bitIndex0)) | (~v90(constB181, bitIndex1)))))),
% 7.79/5.78 inference(quant_inst,[status(thm)],[])).
% 7.79/5.78 tff(15449,plain,
% 7.79/5.78 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB181) <=> (~(v90(constB181, bitIndex2) | (~v90(constB181, bitIndex1)) | (~v90(constB181, bitIndex0)))))),
% 7.79/5.78 inference(modus_ponens,[status(thm)],[15448, 15447])).
% 7.79/5.78 tff(15450,plain,
% 7.79/5.78 (v122(constB181) <=> (~(v90(constB181, bitIndex2) | (~v90(constB181, bitIndex1)) | (~v90(constB181, bitIndex0))))),
% 7.79/5.78 inference(unit_resolution,[status(thm)],[15449, 879])).
% 7.79/5.78 tff(15451,plain,
% 7.79/5.78 (nextState(constB180, constB181) <=> nextState(constB180, constB181)),
% 7.79/5.78 inference(rewrite,[status(thm)],[])).
% 7.79/5.78 tff(15452,axiom,(nextState(constB180, constB181)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_180')).
% 7.79/5.78 tff(15453,plain,
% 7.79/5.78 (nextState(constB180, constB181)),
% 7.79/5.78 inference(modus_ponens,[status(thm)],[15452, 15451])).
% 7.79/5.78 tff(15454,plain,
% 7.79/5.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB180, constB181)) | (v100(constB181) <=> (~((~v101(constB181)) | (~v110(constB181))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB180, constB181)) | (v100(constB181) <=> (~((~v101(constB181)) | (~v110(constB181))))))),
% 7.79/5.78 inference(rewrite,[status(thm)],[])).
% 7.79/5.78 tff(15455,plain,
% 7.79/5.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB180, constB181)) | (v100(constB181) <=> (~((~v101(constB181)) | (~v110(constB181))))))),
% 7.79/5.78 inference(quant_inst,[status(thm)],[])).
% 7.79/5.78 tff(15456,plain,
% 7.79/5.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB180, constB181)) | (v100(constB181) <=> (~((~v101(constB181)) | (~v110(constB181)))))),
% 7.79/5.78 inference(modus_ponens,[status(thm)],[15455, 15454])).
% 7.79/5.78 tff(15457,plain,
% 7.79/5.78 (v100(constB181) <=> (~((~v101(constB181)) | (~v110(constB181))))),
% 7.79/5.78 inference(unit_resolution,[status(thm)],[15456, 15453, 445])).
% 7.79/5.78 tff(15458,plain,
% 7.79/5.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB180, constB181)) | (v101(constB181) <=> (~((~v1(constB181)) | (~v102(constB181))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB180, constB181)) | (v101(constB181) <=> (~((~v1(constB181)) | (~v102(constB181))))))),
% 7.79/5.78 inference(rewrite,[status(thm)],[])).
% 7.79/5.78 tff(15459,plain,
% 7.79/5.78 (((~nextState(constB180, constB181)) | (v101(constB181) <=> (~((~v102(constB181)) | (~v1(constB181)))))) <=> ((~nextState(constB180, constB181)) | (v101(constB181) <=> (~((~v1(constB181)) | (~v102(constB181))))))),
% 7.79/5.78 inference(rewrite,[status(thm)],[])).
% 7.79/5.78 tff(15460,plain,
% 7.79/5.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB180, constB181)) | (v101(constB181) <=> (~((~v102(constB181)) | (~v1(constB181))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB180, constB181)) | (v101(constB181) <=> (~((~v1(constB181)) | (~v102(constB181)))))))),
% 7.79/5.78 inference(monotonicity,[status(thm)],[15459])).
% 7.79/5.78 tff(15461,plain,
% 7.79/5.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB180, constB181)) | (v101(constB181) <=> (~((~v102(constB181)) | (~v1(constB181))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB180, constB181)) | (v101(constB181) <=> (~((~v1(constB181)) | (~v102(constB181))))))),
% 7.79/5.78 inference(transitivity,[status(thm)],[15460, 15458])).
% 7.79/5.78 tff(15462,plain,
% 7.79/5.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB180, constB181)) | (v101(constB181) <=> (~((~v102(constB181)) | (~v1(constB181))))))),
% 7.79/5.78 inference(quant_inst,[status(thm)],[])).
% 7.79/5.78 tff(15463,plain,
% 7.79/5.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB180, constB181)) | (v101(constB181) <=> (~((~v1(constB181)) | (~v102(constB181)))))),
% 7.79/5.78 inference(modus_ponens,[status(thm)],[15462, 15461])).
% 7.79/5.78 tff(15464,plain,
% 7.79/5.78 (v101(constB181) <=> (~((~v1(constB181)) | (~v102(constB181))))),
% 7.79/5.78 inference(unit_resolution,[status(thm)],[15463, 15453, 465])).
% 7.79/5.78 tff(15465,plain,
% 7.79/5.78 ((~v1(constB181)) <=> (~v1(constB181))),
% 7.79/5.78 inference(rewrite,[status(thm)],[])).
% 7.79/5.78 tff(15466,axiom,(~v1(constB181)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_181')).
% 7.79/5.78 tff(15467,plain,
% 7.79/5.78 (~v1(constB181)),
% 7.79/5.78 inference(modus_ponens,[status(thm)],[15466, 15465])).
% 7.79/5.78 tff(15468,plain,
% 7.79/5.78 (((~v1(constB181)) | (~v102(constB181))) | v1(constB181)),
% 7.79/5.78 inference(tautology,[status(thm)],[])).
% 7.79/5.78 tff(15469,plain,
% 7.79/5.78 ((~v1(constB181)) | (~v102(constB181))),
% 7.79/5.78 inference(unit_resolution,[status(thm)],[15468, 15467])).
% 7.79/5.78 tff(15470,plain,
% 7.79/5.78 ((~(v101(constB181) <=> (~((~v1(constB181)) | (~v102(constB181)))))) | (~v101(constB181)) | (~((~v1(constB181)) | (~v102(constB181))))),
% 7.79/5.78 inference(tautology,[status(thm)],[])).
% 7.79/5.78 tff(15471,plain,
% 7.79/5.78 ((~(v101(constB181) <=> (~((~v1(constB181)) | (~v102(constB181)))))) | (~v101(constB181))),
% 7.79/5.78 inference(unit_resolution,[status(thm)],[15470, 15469])).
% 7.79/5.78 tff(15472,plain,
% 7.79/5.78 (~v101(constB181)),
% 7.79/5.78 inference(unit_resolution,[status(thm)],[15471, 15464])).
% 7.79/5.78 tff(15473,plain,
% 7.79/5.78 (((~v101(constB181)) | (~v110(constB181))) | v101(constB181)),
% 7.79/5.78 inference(tautology,[status(thm)],[])).
% 7.79/5.78 tff(15474,plain,
% 7.79/5.78 ((~v101(constB181)) | (~v110(constB181))),
% 7.79/5.78 inference(unit_resolution,[status(thm)],[15473, 15472])).
% 7.79/5.78 tff(15475,plain,
% 7.79/5.78 ((~(v100(constB181) <=> (~((~v101(constB181)) | (~v110(constB181)))))) | (~v100(constB181)) | (~((~v101(constB181)) | (~v110(constB181))))),
% 7.79/5.78 inference(tautology,[status(thm)],[])).
% 7.79/5.78 tff(15476,plain,
% 7.79/5.78 (~v100(constB181)),
% 7.79/5.78 inference(unit_resolution,[status(thm)],[15475, 15474, 15457])).
% 7.79/5.78 tff(15477,plain,
% 7.79/5.78 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB181) | (~nextState(constB180, constB181)) | (~(((~v90(constB181, bitIndex1)) <=> v90(constB180, bitIndex1)) | ((~v90(constB181, bitIndex2)) <=> v90(constB180, bitIndex2)) | ((~v90(constB181, bitIndex0)) <=> v90(constB180, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB181) | (~nextState(constB180, constB181)) | (~(((~v90(constB181, bitIndex1)) <=> v90(constB180, bitIndex1)) | ((~v90(constB181, bitIndex2)) <=> v90(constB180, bitIndex2)) | ((~v90(constB181, bitIndex0)) <=> v90(constB180, bitIndex0)))))),
% 7.79/5.78 inference(rewrite,[status(thm)],[])).
% 7.79/5.78 tff(15478,plain,
% 7.79/5.78 ((v100(constB181) | (~nextState(constB180, constB181)) | (~(((~v90(constB181, bitIndex2)) <=> v90(constB180, bitIndex2)) | ((~v90(constB181, bitIndex1)) <=> v90(constB180, bitIndex1)) | ((~v90(constB181, bitIndex0)) <=> v90(constB180, bitIndex0))))) <=> (v100(constB181) | (~nextState(constB180, constB181)) | (~(((~v90(constB181, bitIndex1)) <=> v90(constB180, bitIndex1)) | ((~v90(constB181, bitIndex2)) <=> v90(constB180, bitIndex2)) | ((~v90(constB181, bitIndex0)) <=> v90(constB180, bitIndex0)))))),
% 7.79/5.78 inference(rewrite,[status(thm)],[])).
% 7.79/5.78 tff(15479,plain,
% 7.79/5.78 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB181) | (~nextState(constB180, constB181)) | (~(((~v90(constB181, bitIndex2)) <=> v90(constB180, bitIndex2)) | ((~v90(constB181, bitIndex1)) <=> v90(constB180, bitIndex1)) | ((~v90(constB181, bitIndex0)) <=> v90(constB180, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB181) | (~nextState(constB180, constB181)) | (~(((~v90(constB181, bitIndex1)) <=> v90(constB180, bitIndex1)) | ((~v90(constB181, bitIndex2)) <=> v90(constB180, bitIndex2)) | ((~v90(constB181, bitIndex0)) <=> v90(constB180, bitIndex0))))))),
% 7.79/5.78 inference(monotonicity,[status(thm)],[15478])).
% 7.79/5.78 tff(15480,plain,
% 7.79/5.78 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB181) | (~nextState(constB180, constB181)) | (~(((~v90(constB181, bitIndex2)) <=> v90(constB180, bitIndex2)) | ((~v90(constB181, bitIndex1)) <=> v90(constB180, bitIndex1)) | ((~v90(constB181, bitIndex0)) <=> v90(constB180, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB181) | (~nextState(constB180, constB181)) | (~(((~v90(constB181, bitIndex1)) <=> v90(constB180, bitIndex1)) | ((~v90(constB181, bitIndex2)) <=> v90(constB180, bitIndex2)) | ((~v90(constB181, bitIndex0)) <=> v90(constB180, bitIndex0)))))),
% 7.79/5.78 inference(transitivity,[status(thm)],[15479, 15477])).
% 7.79/5.78 tff(15481,plain,
% 7.79/5.78 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB181) | (~nextState(constB180, constB181)) | (~(((~v90(constB181, bitIndex2)) <=> v90(constB180, bitIndex2)) | ((~v90(constB181, bitIndex1)) <=> v90(constB180, bitIndex1)) | ((~v90(constB181, bitIndex0)) <=> v90(constB180, bitIndex0)))))),
% 7.79/5.78 inference(quant_inst,[status(thm)],[])).
% 7.79/5.78 tff(15482,plain,
% 7.79/5.78 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB181) | (~nextState(constB180, constB181)) | (~(((~v90(constB181, bitIndex1)) <=> v90(constB180, bitIndex1)) | ((~v90(constB181, bitIndex2)) <=> v90(constB180, bitIndex2)) | ((~v90(constB181, bitIndex0)) <=> v90(constB180, bitIndex0))))),
% 7.79/5.78 inference(modus_ponens,[status(thm)],[15481, 15480])).
% 7.79/5.78 tff(15483,plain,
% 7.79/5.78 (v100(constB181) | (~(((~v90(constB181, bitIndex1)) <=> v90(constB180, bitIndex1)) | ((~v90(constB181, bitIndex2)) <=> v90(constB180, bitIndex2)) | ((~v90(constB181, bitIndex0)) <=> v90(constB180, bitIndex0))))),
% 7.79/5.78 inference(unit_resolution,[status(thm)],[15482, 15453, 494])).
% 7.79/5.78 tff(15484,plain,
% 7.79/5.78 (~(((~v90(constB181, bitIndex1)) <=> v90(constB180, bitIndex1)) | ((~v90(constB181, bitIndex2)) <=> v90(constB180, bitIndex2)) | ((~v90(constB181, bitIndex0)) <=> v90(constB180, bitIndex0)))),
% 7.79/5.79 inference(unit_resolution,[status(thm)],[15483, 15476])).
% 7.79/5.79 tff(15485,plain,
% 7.79/5.79 ((((~v90(constB181, bitIndex1)) <=> v90(constB180, bitIndex1)) | ((~v90(constB181, bitIndex2)) <=> v90(constB180, bitIndex2)) | ((~v90(constB181, bitIndex0)) <=> v90(constB180, bitIndex0))) | (~((~v90(constB181, bitIndex2)) <=> v90(constB180, bitIndex2)))),
% 7.79/5.79 inference(tautology,[status(thm)],[])).
% 7.79/5.79 tff(15486,plain,
% 7.79/5.79 (~((~v90(constB181, bitIndex2)) <=> v90(constB180, bitIndex2))),
% 7.79/5.79 inference(unit_resolution,[status(thm)],[15485, 15484])).
% 7.79/5.79 tff(15487,plain,
% 7.79/5.79 (nextState(constB179, constB180) <=> nextState(constB179, constB180)),
% 7.79/5.79 inference(rewrite,[status(thm)],[])).
% 7.79/5.79 tff(15488,axiom,(nextState(constB179, constB180)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_179')).
% 7.79/5.79 tff(15489,plain,
% 7.79/5.79 (nextState(constB179, constB180)),
% 7.79/5.79 inference(modus_ponens,[status(thm)],[15488, 15487])).
% 7.79/5.79 tff(15490,plain,
% 7.79/5.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB179, constB180)) | (~(((~v129(constB180, bitIndex2)) <=> v127(constB179, bitIndex2)) | ((~v129(constB180, bitIndex1)) <=> v127(constB179, bitIndex1)) | ((~v129(constB180, bitIndex0)) <=> v127(constB179, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB179, constB180)) | (~(((~v129(constB180, bitIndex2)) <=> v127(constB179, bitIndex2)) | ((~v129(constB180, bitIndex1)) <=> v127(constB179, bitIndex1)) | ((~v129(constB180, bitIndex0)) <=> v127(constB179, bitIndex0)))))),
% 7.79/5.79 inference(rewrite,[status(thm)],[])).
% 7.79/5.79 tff(15491,plain,
% 7.79/5.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB179, constB180)) | (~(((~v129(constB180, bitIndex2)) <=> v127(constB179, bitIndex2)) | ((~v129(constB180, bitIndex1)) <=> v127(constB179, bitIndex1)) | ((~v129(constB180, bitIndex0)) <=> v127(constB179, bitIndex0)))))),
% 7.79/5.79 inference(quant_inst,[status(thm)],[])).
% 7.79/5.79 tff(15492,plain,
% 7.79/5.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB179, constB180)) | (~(((~v129(constB180, bitIndex2)) <=> v127(constB179, bitIndex2)) | ((~v129(constB180, bitIndex1)) <=> v127(constB179, bitIndex1)) | ((~v129(constB180, bitIndex0)) <=> v127(constB179, bitIndex0))))),
% 7.79/5.79 inference(modus_ponens,[status(thm)],[15491, 15490])).
% 7.79/5.79 tff(15493,plain,
% 7.79/5.79 (~(((~v129(constB180, bitIndex2)) <=> v127(constB179, bitIndex2)) | ((~v129(constB180, bitIndex1)) <=> v127(constB179, bitIndex1)) | ((~v129(constB180, bitIndex0)) <=> v127(constB179, bitIndex0)))),
% 7.79/5.79 inference(unit_resolution,[status(thm)],[15492, 15489, 517])).
% 7.79/5.79 tff(15494,plain,
% 7.79/5.79 ((((~v129(constB180, bitIndex2)) <=> v127(constB179, bitIndex2)) | ((~v129(constB180, bitIndex1)) <=> v127(constB179, bitIndex1)) | ((~v129(constB180, bitIndex0)) <=> v127(constB179, bitIndex0))) | (~((~v129(constB180, bitIndex2)) <=> v127(constB179, bitIndex2)))),
% 7.79/5.79 inference(tautology,[status(thm)],[])).
% 7.79/5.79 tff(15495,plain,
% 7.79/5.79 (~((~v129(constB180, bitIndex2)) <=> v127(constB179, bitIndex2))),
% 7.79/5.79 inference(unit_resolution,[status(thm)],[15494, 15493])).
% 7.79/5.79 tff(15496,plain,
% 7.79/5.79 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB179) <=> v26(constB179))),
% 7.79/5.79 inference(quant_inst,[status(thm)],[])).
% 7.79/5.79 tff(15497,plain,
% 7.79/5.79 (v111(constB179) <=> v26(constB179)),
% 7.79/5.79 inference(unit_resolution,[status(thm)],[15496, 536])).
% 7.79/5.79 tff(15498,plain,
% 7.79/5.79 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB179))),
% 7.79/5.79 inference(quant_inst,[status(thm)],[])).
% 7.79/5.79 tff(15499,plain,
% 7.79/5.79 (~v26(constB179)),
% 7.79/5.79 inference(unit_resolution,[status(thm)],[15498, 548])).
% 7.79/5.79 tff(15500,plain,
% 7.79/5.79 ((~(v111(constB179) <=> v26(constB179))) | (~v111(constB179)) | v26(constB179)),
% 7.79/5.79 inference(tautology,[status(thm)],[])).
% 7.79/5.79 tff(15501,plain,
% 7.79/5.79 ((~(v111(constB179) <=> v26(constB179))) | (~v111(constB179))),
% 7.79/5.79 inference(unit_resolution,[status(thm)],[15500, 15499])).
% 7.79/5.79 tff(15502,plain,
% 7.79/5.79 (~v111(constB179)),
% 7.79/5.79 inference(unit_resolution,[status(thm)],[15501, 15497])).
% 7.79/5.79 tff(15503,plain,
% 7.79/5.79 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB179) | (~(((~v127(constB179, bitIndex2)) <=> v130(constB179, bitIndex2)) | ((~v127(constB179, bitIndex1)) <=> v130(constB179, bitIndex1)) | ((~v127(constB179, bitIndex0)) <=> v130(constB179, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB179) | (~(((~v127(constB179, bitIndex2)) <=> v130(constB179, bitIndex2)) | ((~v127(constB179, bitIndex1)) <=> v130(constB179, bitIndex1)) | ((~v127(constB179, bitIndex0)) <=> v130(constB179, bitIndex0)))))),
% 7.79/5.79 inference(rewrite,[status(thm)],[])).
% 7.79/5.79 tff(15504,plain,
% 7.79/5.79 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB179) | (~(((~v127(constB179, bitIndex2)) <=> v130(constB179, bitIndex2)) | ((~v127(constB179, bitIndex1)) <=> v130(constB179, bitIndex1)) | ((~v127(constB179, bitIndex0)) <=> v130(constB179, bitIndex0)))))),
% 7.79/5.79 inference(quant_inst,[status(thm)],[])).
% 7.79/5.79 tff(15505,plain,
% 7.79/5.79 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB179) | (~(((~v127(constB179, bitIndex2)) <=> v130(constB179, bitIndex2)) | ((~v127(constB179, bitIndex1)) <=> v130(constB179, bitIndex1)) | ((~v127(constB179, bitIndex0)) <=> v130(constB179, bitIndex0))))),
% 7.79/5.79 inference(modus_ponens,[status(thm)],[15504, 15503])).
% 7.79/5.79 tff(15506,plain,
% 7.79/5.79 (v111(constB179) | (~(((~v127(constB179, bitIndex2)) <=> v130(constB179, bitIndex2)) | ((~v127(constB179, bitIndex1)) <=> v130(constB179, bitIndex1)) | ((~v127(constB179, bitIndex0)) <=> v130(constB179, bitIndex0))))),
% 7.79/5.79 inference(unit_resolution,[status(thm)],[15505, 566])).
% 7.79/5.79 tff(15507,plain,
% 7.79/5.79 (~(((~v127(constB179, bitIndex2)) <=> v130(constB179, bitIndex2)) | ((~v127(constB179, bitIndex1)) <=> v130(constB179, bitIndex1)) | ((~v127(constB179, bitIndex0)) <=> v130(constB179, bitIndex0)))),
% 7.79/5.79 inference(unit_resolution,[status(thm)],[15506, 15502])).
% 7.79/5.79 tff(15508,plain,
% 7.79/5.79 ((((~v127(constB179, bitIndex2)) <=> v130(constB179, bitIndex2)) | ((~v127(constB179, bitIndex1)) <=> v130(constB179, bitIndex1)) | ((~v127(constB179, bitIndex0)) <=> v130(constB179, bitIndex0))) | (~((~v127(constB179, bitIndex2)) <=> v130(constB179, bitIndex2)))),
% 7.79/5.79 inference(tautology,[status(thm)],[])).
% 7.79/5.79 tff(15509,plain,
% 7.79/5.79 (~((~v127(constB179, bitIndex2)) <=> v130(constB179, bitIndex2))),
% 7.79/5.79 inference(unit_resolution,[status(thm)],[15508, 15507])).
% 7.79/5.79 tff(15510,plain,
% 7.79/5.79 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB179) <=> (~(v90(constB179, bitIndex2) | v90(constB179, bitIndex0) | (~v90(constB179, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB179) <=> (~(v90(constB179, bitIndex2) | v90(constB179, bitIndex0) | (~v90(constB179, bitIndex1))))))),
% 7.79/5.79 inference(rewrite,[status(thm)],[])).
% 7.79/5.79 tff(15511,plain,
% 7.79/5.79 ((v121(constB179) <=> (~(v90(constB179, bitIndex0) | v90(constB179, bitIndex2) | (~v90(constB179, bitIndex1))))) <=> (v121(constB179) <=> (~(v90(constB179, bitIndex2) | v90(constB179, bitIndex0) | (~v90(constB179, bitIndex1)))))),
% 7.79/5.79 inference(rewrite,[status(thm)],[])).
% 7.79/5.79 tff(15512,plain,
% 7.79/5.79 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB179) <=> (~(v90(constB179, bitIndex0) | v90(constB179, bitIndex2) | (~v90(constB179, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB179) <=> (~(v90(constB179, bitIndex2) | v90(constB179, bitIndex0) | (~v90(constB179, bitIndex1))))))),
% 7.79/5.79 inference(monotonicity,[status(thm)],[15511])).
% 7.79/5.79 tff(15513,plain,
% 7.79/5.79 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB179) <=> (~(v90(constB179, bitIndex0) | v90(constB179, bitIndex2) | (~v90(constB179, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB179) <=> (~(v90(constB179, bitIndex2) | v90(constB179, bitIndex0) | (~v90(constB179, bitIndex1))))))),
% 7.79/5.79 inference(transitivity,[status(thm)],[15512, 15510])).
% 7.79/5.79 tff(15514,plain,
% 7.79/5.79 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB179) <=> (~(v90(constB179, bitIndex0) | v90(constB179, bitIndex2) | (~v90(constB179, bitIndex1)))))),
% 7.79/5.79 inference(quant_inst,[status(thm)],[])).
% 7.79/5.79 tff(15515,plain,
% 7.79/5.79 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB179) <=> (~(v90(constB179, bitIndex2) | v90(constB179, bitIndex0) | (~v90(constB179, bitIndex1)))))),
% 7.79/5.79 inference(modus_ponens,[status(thm)],[15514, 15513])).
% 7.79/5.79 tff(15516,plain,
% 7.79/5.79 (v121(constB179) <=> (~(v90(constB179, bitIndex2) | v90(constB179, bitIndex0) | (~v90(constB179, bitIndex1))))),
% 7.79/5.79 inference(unit_resolution,[status(thm)],[15515, 586])).
% 7.79/5.79 tff(15517,plain,
% 7.79/5.79 (nextState(constB178, constB179) <=> nextState(constB178, constB179)),
% 7.79/5.79 inference(rewrite,[status(thm)],[])).
% 7.79/5.79 tff(15518,axiom,(nextState(constB178, constB179)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_178')).
% 7.79/5.79 tff(15519,plain,
% 7.79/5.79 (nextState(constB178, constB179)),
% 7.79/5.79 inference(modus_ponens,[status(thm)],[15518, 15517])).
% 7.79/5.79 tff(15520,plain,
% 7.79/5.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB178, constB179)) | (v100(constB179) <=> (~((~v101(constB179)) | (~v110(constB179))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB178, constB179)) | (v100(constB179) <=> (~((~v101(constB179)) | (~v110(constB179))))))),
% 7.79/5.79 inference(rewrite,[status(thm)],[])).
% 7.79/5.79 tff(15521,plain,
% 7.79/5.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB178, constB179)) | (v100(constB179) <=> (~((~v101(constB179)) | (~v110(constB179))))))),
% 7.79/5.79 inference(quant_inst,[status(thm)],[])).
% 7.79/5.79 tff(15522,plain,
% 7.79/5.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB178, constB179)) | (v100(constB179) <=> (~((~v101(constB179)) | (~v110(constB179)))))),
% 7.79/5.79 inference(modus_ponens,[status(thm)],[15521, 15520])).
% 7.79/5.79 tff(15523,plain,
% 7.79/5.79 (v100(constB179) <=> (~((~v101(constB179)) | (~v110(constB179))))),
% 7.79/5.79 inference(unit_resolution,[status(thm)],[15522, 15519, 445])).
% 7.79/5.79 tff(15524,plain,
% 7.79/5.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB178, constB179)) | (v101(constB179) <=> (~((~v1(constB179)) | (~v102(constB179))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB178, constB179)) | (v101(constB179) <=> (~((~v1(constB179)) | (~v102(constB179))))))),
% 7.79/5.79 inference(rewrite,[status(thm)],[])).
% 7.79/5.79 tff(15525,plain,
% 7.79/5.79 (((~nextState(constB178, constB179)) | (v101(constB179) <=> (~((~v102(constB179)) | (~v1(constB179)))))) <=> ((~nextState(constB178, constB179)) | (v101(constB179) <=> (~((~v1(constB179)) | (~v102(constB179))))))),
% 7.79/5.79 inference(rewrite,[status(thm)],[])).
% 7.79/5.79 tff(15526,plain,
% 7.79/5.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB178, constB179)) | (v101(constB179) <=> (~((~v102(constB179)) | (~v1(constB179))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB178, constB179)) | (v101(constB179) <=> (~((~v1(constB179)) | (~v102(constB179)))))))),
% 7.79/5.79 inference(monotonicity,[status(thm)],[15525])).
% 7.79/5.79 tff(15527,plain,
% 7.79/5.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB178, constB179)) | (v101(constB179) <=> (~((~v102(constB179)) | (~v1(constB179))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB178, constB179)) | (v101(constB179) <=> (~((~v1(constB179)) | (~v102(constB179))))))),
% 7.79/5.79 inference(transitivity,[status(thm)],[15526, 15524])).
% 7.79/5.79 tff(15528,plain,
% 7.79/5.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB178, constB179)) | (v101(constB179) <=> (~((~v102(constB179)) | (~v1(constB179))))))),
% 7.79/5.79 inference(quant_inst,[status(thm)],[])).
% 7.79/5.79 tff(15529,plain,
% 7.79/5.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB178, constB179)) | (v101(constB179) <=> (~((~v1(constB179)) | (~v102(constB179)))))),
% 7.79/5.79 inference(modus_ponens,[status(thm)],[15528, 15527])).
% 7.79/5.79 tff(15530,plain,
% 7.79/5.79 (v101(constB179) <=> (~((~v1(constB179)) | (~v102(constB179))))),
% 7.79/5.79 inference(unit_resolution,[status(thm)],[15529, 15519, 465])).
% 7.79/5.79 tff(15531,plain,
% 7.79/5.79 ((~v1(constB179)) <=> (~v1(constB179))),
% 7.79/5.79 inference(rewrite,[status(thm)],[])).
% 7.79/5.79 tff(15532,axiom,(~v1(constB179)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_179')).
% 7.79/5.79 tff(15533,plain,
% 7.79/5.79 (~v1(constB179)),
% 7.79/5.79 inference(modus_ponens,[status(thm)],[15532, 15531])).
% 7.79/5.79 tff(15534,plain,
% 7.79/5.79 (((~v1(constB179)) | (~v102(constB179))) | v1(constB179)),
% 7.79/5.79 inference(tautology,[status(thm)],[])).
% 7.79/5.79 tff(15535,plain,
% 7.79/5.79 ((~v1(constB179)) | (~v102(constB179))),
% 7.79/5.79 inference(unit_resolution,[status(thm)],[15534, 15533])).
% 7.79/5.79 tff(15536,plain,
% 7.79/5.79 ((~(v101(constB179) <=> (~((~v1(constB179)) | (~v102(constB179)))))) | (~v101(constB179)) | (~((~v1(constB179)) | (~v102(constB179))))),
% 7.79/5.79 inference(tautology,[status(thm)],[])).
% 7.79/5.79 tff(15537,plain,
% 7.79/5.79 ((~(v101(constB179) <=> (~((~v1(constB179)) | (~v102(constB179)))))) | (~v101(constB179))),
% 7.79/5.79 inference(unit_resolution,[status(thm)],[15536, 15535])).
% 7.79/5.79 tff(15538,plain,
% 7.79/5.79 (~v101(constB179)),
% 7.79/5.79 inference(unit_resolution,[status(thm)],[15537, 15530])).
% 7.79/5.79 tff(15539,plain,
% 7.79/5.79 (((~v101(constB179)) | (~v110(constB179))) | v101(constB179)),
% 7.79/5.79 inference(tautology,[status(thm)],[])).
% 7.79/5.79 tff(15540,plain,
% 7.79/5.79 ((~v101(constB179)) | (~v110(constB179))),
% 7.79/5.79 inference(unit_resolution,[status(thm)],[15539, 15538])).
% 7.79/5.79 tff(15541,plain,
% 7.79/5.79 ((~(v100(constB179) <=> (~((~v101(constB179)) | (~v110(constB179)))))) | (~v100(constB179)) | (~((~v101(constB179)) | (~v110(constB179))))),
% 7.79/5.79 inference(tautology,[status(thm)],[])).
% 7.79/5.79 tff(15542,plain,
% 7.79/5.79 (~v100(constB179)),
% 7.79/5.79 inference(unit_resolution,[status(thm)],[15541, 15540, 15523])).
% 7.79/5.79 tff(15543,plain,
% 7.79/5.79 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB179) | (~nextState(constB178, constB179)) | (~(((~v90(constB179, bitIndex1)) <=> v90(constB178, bitIndex1)) | ((~v90(constB179, bitIndex2)) <=> v90(constB178, bitIndex2)) | ((~v90(constB179, bitIndex0)) <=> v90(constB178, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB179) | (~nextState(constB178, constB179)) | (~(((~v90(constB179, bitIndex1)) <=> v90(constB178, bitIndex1)) | ((~v90(constB179, bitIndex2)) <=> v90(constB178, bitIndex2)) | ((~v90(constB179, bitIndex0)) <=> v90(constB178, bitIndex0)))))),
% 7.79/5.79 inference(rewrite,[status(thm)],[])).
% 7.79/5.79 tff(15544,plain,
% 7.79/5.79 ((v100(constB179) | (~nextState(constB178, constB179)) | (~(((~v90(constB179, bitIndex2)) <=> v90(constB178, bitIndex2)) | ((~v90(constB179, bitIndex1)) <=> v90(constB178, bitIndex1)) | ((~v90(constB179, bitIndex0)) <=> v90(constB178, bitIndex0))))) <=> (v100(constB179) | (~nextState(constB178, constB179)) | (~(((~v90(constB179, bitIndex1)) <=> v90(constB178, bitIndex1)) | ((~v90(constB179, bitIndex2)) <=> v90(constB178, bitIndex2)) | ((~v90(constB179, bitIndex0)) <=> v90(constB178, bitIndex0)))))),
% 7.79/5.79 inference(rewrite,[status(thm)],[])).
% 7.79/5.79 tff(15545,plain,
% 7.79/5.79 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB179) | (~nextState(constB178, constB179)) | (~(((~v90(constB179, bitIndex2)) <=> v90(constB178, bitIndex2)) | ((~v90(constB179, bitIndex1)) <=> v90(constB178, bitIndex1)) | ((~v90(constB179, bitIndex0)) <=> v90(constB178, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB179) | (~nextState(constB178, constB179)) | (~(((~v90(constB179, bitIndex1)) <=> v90(constB178, bitIndex1)) | ((~v90(constB179, bitIndex2)) <=> v90(constB178, bitIndex2)) | ((~v90(constB179, bitIndex0)) <=> v90(constB178, bitIndex0))))))),
% 7.79/5.79 inference(monotonicity,[status(thm)],[15544])).
% 7.79/5.79 tff(15546,plain,
% 7.79/5.79 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB179) | (~nextState(constB178, constB179)) | (~(((~v90(constB179, bitIndex2)) <=> v90(constB178, bitIndex2)) | ((~v90(constB179, bitIndex1)) <=> v90(constB178, bitIndex1)) | ((~v90(constB179, bitIndex0)) <=> v90(constB178, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB179) | (~nextState(constB178, constB179)) | (~(((~v90(constB179, bitIndex1)) <=> v90(constB178, bitIndex1)) | ((~v90(constB179, bitIndex2)) <=> v90(constB178, bitIndex2)) | ((~v90(constB179, bitIndex0)) <=> v90(constB178, bitIndex0)))))),
% 7.88/5.79 inference(transitivity,[status(thm)],[15545, 15543])).
% 7.88/5.79 tff(15547,plain,
% 7.88/5.79 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB179) | (~nextState(constB178, constB179)) | (~(((~v90(constB179, bitIndex2)) <=> v90(constB178, bitIndex2)) | ((~v90(constB179, bitIndex1)) <=> v90(constB178, bitIndex1)) | ((~v90(constB179, bitIndex0)) <=> v90(constB178, bitIndex0)))))),
% 7.88/5.79 inference(quant_inst,[status(thm)],[])).
% 7.88/5.79 tff(15548,plain,
% 7.88/5.79 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB179) | (~nextState(constB178, constB179)) | (~(((~v90(constB179, bitIndex1)) <=> v90(constB178, bitIndex1)) | ((~v90(constB179, bitIndex2)) <=> v90(constB178, bitIndex2)) | ((~v90(constB179, bitIndex0)) <=> v90(constB178, bitIndex0))))),
% 7.88/5.79 inference(modus_ponens,[status(thm)],[15547, 15546])).
% 7.88/5.79 tff(15549,plain,
% 7.88/5.79 (v100(constB179) | (~(((~v90(constB179, bitIndex1)) <=> v90(constB178, bitIndex1)) | ((~v90(constB179, bitIndex2)) <=> v90(constB178, bitIndex2)) | ((~v90(constB179, bitIndex0)) <=> v90(constB178, bitIndex0))))),
% 7.88/5.79 inference(unit_resolution,[status(thm)],[15548, 15519, 494])).
% 7.88/5.79 tff(15550,plain,
% 7.88/5.79 (~(((~v90(constB179, bitIndex1)) <=> v90(constB178, bitIndex1)) | ((~v90(constB179, bitIndex2)) <=> v90(constB178, bitIndex2)) | ((~v90(constB179, bitIndex0)) <=> v90(constB178, bitIndex0)))),
% 7.88/5.79 inference(unit_resolution,[status(thm)],[15549, 15542])).
% 7.88/5.79 tff(15551,plain,
% 7.88/5.79 ((((~v90(constB179, bitIndex1)) <=> v90(constB178, bitIndex1)) | ((~v90(constB179, bitIndex2)) <=> v90(constB178, bitIndex2)) | ((~v90(constB179, bitIndex0)) <=> v90(constB178, bitIndex0))) | (~((~v90(constB179, bitIndex2)) <=> v90(constB178, bitIndex2)))),
% 7.88/5.79 inference(tautology,[status(thm)],[])).
% 7.88/5.79 tff(15552,plain,
% 7.88/5.79 (~((~v90(constB179, bitIndex2)) <=> v90(constB178, bitIndex2))),
% 7.88/5.79 inference(unit_resolution,[status(thm)],[15551, 15550])).
% 7.88/5.79 tff(15553,plain,
% 7.88/5.79 (nextState(constB177, constB178) <=> nextState(constB177, constB178)),
% 7.88/5.79 inference(rewrite,[status(thm)],[])).
% 7.88/5.79 tff(15554,axiom,(nextState(constB177, constB178)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_177')).
% 7.88/5.79 tff(15555,plain,
% 7.88/5.79 (nextState(constB177, constB178)),
% 7.88/5.79 inference(modus_ponens,[status(thm)],[15554, 15553])).
% 7.88/5.79 tff(15556,plain,
% 7.88/5.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB177, constB178)) | (~(((~v129(constB178, bitIndex2)) <=> v127(constB177, bitIndex2)) | ((~v129(constB178, bitIndex1)) <=> v127(constB177, bitIndex1)) | ((~v129(constB178, bitIndex0)) <=> v127(constB177, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB177, constB178)) | (~(((~v129(constB178, bitIndex2)) <=> v127(constB177, bitIndex2)) | ((~v129(constB178, bitIndex1)) <=> v127(constB177, bitIndex1)) | ((~v129(constB178, bitIndex0)) <=> v127(constB177, bitIndex0)))))),
% 7.88/5.79 inference(rewrite,[status(thm)],[])).
% 7.88/5.79 tff(15557,plain,
% 7.88/5.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB177, constB178)) | (~(((~v129(constB178, bitIndex2)) <=> v127(constB177, bitIndex2)) | ((~v129(constB178, bitIndex1)) <=> v127(constB177, bitIndex1)) | ((~v129(constB178, bitIndex0)) <=> v127(constB177, bitIndex0)))))),
% 7.88/5.79 inference(quant_inst,[status(thm)],[])).
% 7.88/5.79 tff(15558,plain,
% 7.88/5.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB177, constB178)) | (~(((~v129(constB178, bitIndex2)) <=> v127(constB177, bitIndex2)) | ((~v129(constB178, bitIndex1)) <=> v127(constB177, bitIndex1)) | ((~v129(constB178, bitIndex0)) <=> v127(constB177, bitIndex0))))),
% 7.88/5.79 inference(modus_ponens,[status(thm)],[15557, 15556])).
% 7.88/5.79 tff(15559,plain,
% 7.88/5.79 (~(((~v129(constB178, bitIndex2)) <=> v127(constB177, bitIndex2)) | ((~v129(constB178, bitIndex1)) <=> v127(constB177, bitIndex1)) | ((~v129(constB178, bitIndex0)) <=> v127(constB177, bitIndex0)))),
% 7.88/5.79 inference(unit_resolution,[status(thm)],[15558, 15555, 517])).
% 7.88/5.79 tff(15560,plain,
% 7.88/5.79 ((((~v129(constB178, bitIndex2)) <=> v127(constB177, bitIndex2)) | ((~v129(constB178, bitIndex1)) <=> v127(constB177, bitIndex1)) | ((~v129(constB178, bitIndex0)) <=> v127(constB177, bitIndex0))) | (~((~v129(constB178, bitIndex2)) <=> v127(constB177, bitIndex2)))),
% 7.88/5.79 inference(tautology,[status(thm)],[])).
% 7.88/5.79 tff(15561,plain,
% 7.88/5.79 (~((~v129(constB178, bitIndex2)) <=> v127(constB177, bitIndex2))),
% 7.88/5.79 inference(unit_resolution,[status(thm)],[15560, 15559])).
% 7.88/5.79 tff(15562,plain,
% 7.88/5.79 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB177) <=> v26(constB177))),
% 7.88/5.79 inference(quant_inst,[status(thm)],[])).
% 7.88/5.79 tff(15563,plain,
% 7.88/5.79 (v111(constB177) <=> v26(constB177)),
% 7.88/5.79 inference(unit_resolution,[status(thm)],[15562, 536])).
% 7.88/5.79 tff(15564,plain,
% 7.88/5.79 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB177))),
% 7.88/5.79 inference(quant_inst,[status(thm)],[])).
% 7.88/5.79 tff(15565,plain,
% 7.88/5.79 (~v26(constB177)),
% 7.88/5.79 inference(unit_resolution,[status(thm)],[15564, 548])).
% 7.88/5.79 tff(15566,plain,
% 7.88/5.79 ((~(v111(constB177) <=> v26(constB177))) | (~v111(constB177)) | v26(constB177)),
% 7.88/5.79 inference(tautology,[status(thm)],[])).
% 7.88/5.79 tff(15567,plain,
% 7.88/5.79 ((~(v111(constB177) <=> v26(constB177))) | (~v111(constB177))),
% 7.88/5.79 inference(unit_resolution,[status(thm)],[15566, 15565])).
% 7.88/5.79 tff(15568,plain,
% 7.88/5.79 (~v111(constB177)),
% 7.88/5.79 inference(unit_resolution,[status(thm)],[15567, 15563])).
% 7.88/5.79 tff(15569,plain,
% 7.88/5.79 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB177) | (~(((~v127(constB177, bitIndex2)) <=> v130(constB177, bitIndex2)) | ((~v127(constB177, bitIndex1)) <=> v130(constB177, bitIndex1)) | ((~v127(constB177, bitIndex0)) <=> v130(constB177, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB177) | (~(((~v127(constB177, bitIndex2)) <=> v130(constB177, bitIndex2)) | ((~v127(constB177, bitIndex1)) <=> v130(constB177, bitIndex1)) | ((~v127(constB177, bitIndex0)) <=> v130(constB177, bitIndex0)))))),
% 7.88/5.79 inference(rewrite,[status(thm)],[])).
% 7.88/5.79 tff(15570,plain,
% 7.88/5.79 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB177) | (~(((~v127(constB177, bitIndex2)) <=> v130(constB177, bitIndex2)) | ((~v127(constB177, bitIndex1)) <=> v130(constB177, bitIndex1)) | ((~v127(constB177, bitIndex0)) <=> v130(constB177, bitIndex0)))))),
% 7.88/5.79 inference(quant_inst,[status(thm)],[])).
% 7.88/5.79 tff(15571,plain,
% 7.88/5.79 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB177) | (~(((~v127(constB177, bitIndex2)) <=> v130(constB177, bitIndex2)) | ((~v127(constB177, bitIndex1)) <=> v130(constB177, bitIndex1)) | ((~v127(constB177, bitIndex0)) <=> v130(constB177, bitIndex0))))),
% 7.88/5.80 inference(modus_ponens,[status(thm)],[15570, 15569])).
% 7.88/5.80 tff(15572,plain,
% 7.88/5.80 (v111(constB177) | (~(((~v127(constB177, bitIndex2)) <=> v130(constB177, bitIndex2)) | ((~v127(constB177, bitIndex1)) <=> v130(constB177, bitIndex1)) | ((~v127(constB177, bitIndex0)) <=> v130(constB177, bitIndex0))))),
% 7.88/5.80 inference(unit_resolution,[status(thm)],[15571, 566])).
% 7.88/5.80 tff(15573,plain,
% 7.88/5.80 (~(((~v127(constB177, bitIndex2)) <=> v130(constB177, bitIndex2)) | ((~v127(constB177, bitIndex1)) <=> v130(constB177, bitIndex1)) | ((~v127(constB177, bitIndex0)) <=> v130(constB177, bitIndex0)))),
% 7.88/5.80 inference(unit_resolution,[status(thm)],[15572, 15568])).
% 7.88/5.80 tff(15574,plain,
% 7.88/5.80 ((((~v127(constB177, bitIndex2)) <=> v130(constB177, bitIndex2)) | ((~v127(constB177, bitIndex1)) <=> v130(constB177, bitIndex1)) | ((~v127(constB177, bitIndex0)) <=> v130(constB177, bitIndex0))) | (~((~v127(constB177, bitIndex2)) <=> v130(constB177, bitIndex2)))),
% 7.88/5.80 inference(tautology,[status(thm)],[])).
% 7.88/5.80 tff(15575,plain,
% 7.88/5.80 (~((~v127(constB177, bitIndex2)) <=> v130(constB177, bitIndex2))),
% 7.88/5.80 inference(unit_resolution,[status(thm)],[15574, 15573])).
% 7.88/5.80 tff(15576,plain,
% 7.88/5.80 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB177) <=> (~(v90(constB177, bitIndex1) | v90(constB177, bitIndex2) | (~v90(constB177, bitIndex0)))))),
% 7.88/5.80 inference(quant_inst,[status(thm)],[])).
% 7.88/5.80 tff(15577,plain,
% 7.88/5.80 (v120(constB177) <=> (~(v90(constB177, bitIndex1) | v90(constB177, bitIndex2) | (~v90(constB177, bitIndex0))))),
% 7.88/5.80 inference(unit_resolution,[status(thm)],[15576, 665])).
% 7.88/5.80 tff(15578,plain,
% 7.88/5.80 (nextState(constB176, constB177) <=> nextState(constB176, constB177)),
% 7.88/5.80 inference(rewrite,[status(thm)],[])).
% 7.88/5.80 tff(15579,axiom,(nextState(constB176, constB177)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_176')).
% 7.88/5.80 tff(15580,plain,
% 7.88/5.80 (nextState(constB176, constB177)),
% 7.88/5.80 inference(modus_ponens,[status(thm)],[15579, 15578])).
% 7.88/5.80 tff(15581,plain,
% 7.88/5.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB176, constB177)) | (v100(constB177) <=> (~((~v101(constB177)) | (~v110(constB177))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB176, constB177)) | (v100(constB177) <=> (~((~v101(constB177)) | (~v110(constB177))))))),
% 7.88/5.80 inference(rewrite,[status(thm)],[])).
% 7.88/5.80 tff(15582,plain,
% 7.88/5.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB176, constB177)) | (v100(constB177) <=> (~((~v101(constB177)) | (~v110(constB177))))))),
% 7.88/5.80 inference(quant_inst,[status(thm)],[])).
% 7.88/5.80 tff(15583,plain,
% 7.88/5.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB176, constB177)) | (v100(constB177) <=> (~((~v101(constB177)) | (~v110(constB177)))))),
% 7.88/5.80 inference(modus_ponens,[status(thm)],[15582, 15581])).
% 7.88/5.80 tff(15584,plain,
% 7.88/5.80 (v100(constB177) <=> (~((~v101(constB177)) | (~v110(constB177))))),
% 7.88/5.80 inference(unit_resolution,[status(thm)],[15583, 15580, 445])).
% 7.88/5.80 tff(15585,plain,
% 7.88/5.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB176, constB177)) | (v101(constB177) <=> (~((~v1(constB177)) | (~v102(constB177))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB176, constB177)) | (v101(constB177) <=> (~((~v1(constB177)) | (~v102(constB177))))))),
% 7.88/5.80 inference(rewrite,[status(thm)],[])).
% 7.88/5.80 tff(15586,plain,
% 7.88/5.80 (((~nextState(constB176, constB177)) | (v101(constB177) <=> (~((~v102(constB177)) | (~v1(constB177)))))) <=> ((~nextState(constB176, constB177)) | (v101(constB177) <=> (~((~v1(constB177)) | (~v102(constB177))))))),
% 7.88/5.80 inference(rewrite,[status(thm)],[])).
% 7.88/5.80 tff(15587,plain,
% 7.88/5.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB176, constB177)) | (v101(constB177) <=> (~((~v102(constB177)) | (~v1(constB177))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB176, constB177)) | (v101(constB177) <=> (~((~v1(constB177)) | (~v102(constB177)))))))),
% 7.88/5.80 inference(monotonicity,[status(thm)],[15586])).
% 7.88/5.80 tff(15588,plain,
% 7.88/5.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB176, constB177)) | (v101(constB177) <=> (~((~v102(constB177)) | (~v1(constB177))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB176, constB177)) | (v101(constB177) <=> (~((~v1(constB177)) | (~v102(constB177))))))),
% 7.88/5.80 inference(transitivity,[status(thm)],[15587, 15585])).
% 7.88/5.80 tff(15589,plain,
% 7.88/5.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB176, constB177)) | (v101(constB177) <=> (~((~v102(constB177)) | (~v1(constB177))))))),
% 7.88/5.80 inference(quant_inst,[status(thm)],[])).
% 7.88/5.80 tff(15590,plain,
% 7.88/5.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB176, constB177)) | (v101(constB177) <=> (~((~v1(constB177)) | (~v102(constB177)))))),
% 7.88/5.80 inference(modus_ponens,[status(thm)],[15589, 15588])).
% 7.88/5.80 tff(15591,plain,
% 7.88/5.80 (v101(constB177) <=> (~((~v1(constB177)) | (~v102(constB177))))),
% 7.88/5.80 inference(unit_resolution,[status(thm)],[15590, 15580, 465])).
% 7.88/5.80 tff(15592,plain,
% 7.88/5.80 ((~v1(constB177)) <=> (~v1(constB177))),
% 7.88/5.80 inference(rewrite,[status(thm)],[])).
% 7.88/5.80 tff(15593,axiom,(~v1(constB177)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_177')).
% 7.88/5.80 tff(15594,plain,
% 7.88/5.80 (~v1(constB177)),
% 7.88/5.80 inference(modus_ponens,[status(thm)],[15593, 15592])).
% 7.88/5.80 tff(15595,plain,
% 7.88/5.80 (((~v1(constB177)) | (~v102(constB177))) | v1(constB177)),
% 7.88/5.80 inference(tautology,[status(thm)],[])).
% 7.88/5.80 tff(15596,plain,
% 7.88/5.80 ((~v1(constB177)) | (~v102(constB177))),
% 7.88/5.80 inference(unit_resolution,[status(thm)],[15595, 15594])).
% 7.88/5.80 tff(15597,plain,
% 7.88/5.80 ((~(v101(constB177) <=> (~((~v1(constB177)) | (~v102(constB177)))))) | (~v101(constB177)) | (~((~v1(constB177)) | (~v102(constB177))))),
% 7.88/5.80 inference(tautology,[status(thm)],[])).
% 7.88/5.80 tff(15598,plain,
% 7.88/5.80 ((~(v101(constB177) <=> (~((~v1(constB177)) | (~v102(constB177)))))) | (~v101(constB177))),
% 7.88/5.80 inference(unit_resolution,[status(thm)],[15597, 15596])).
% 7.88/5.80 tff(15599,plain,
% 7.88/5.80 (~v101(constB177)),
% 7.88/5.80 inference(unit_resolution,[status(thm)],[15598, 15591])).
% 7.88/5.80 tff(15600,plain,
% 7.88/5.80 (((~v101(constB177)) | (~v110(constB177))) | v101(constB177)),
% 7.88/5.80 inference(tautology,[status(thm)],[])).
% 7.88/5.80 tff(15601,plain,
% 7.88/5.80 ((~v101(constB177)) | (~v110(constB177))),
% 7.88/5.80 inference(unit_resolution,[status(thm)],[15600, 15599])).
% 7.88/5.80 tff(15602,plain,
% 7.88/5.80 ((~(v100(constB177) <=> (~((~v101(constB177)) | (~v110(constB177)))))) | (~v100(constB177)) | (~((~v101(constB177)) | (~v110(constB177))))),
% 7.88/5.80 inference(tautology,[status(thm)],[])).
% 7.88/5.80 tff(15603,plain,
% 7.88/5.80 (~v100(constB177)),
% 7.88/5.80 inference(unit_resolution,[status(thm)],[15602, 15601, 15584])).
% 7.88/5.80 tff(15604,plain,
% 7.88/5.80 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB177) | (~nextState(constB176, constB177)) | (~(((~v90(constB177, bitIndex1)) <=> v90(constB176, bitIndex1)) | ((~v90(constB177, bitIndex2)) <=> v90(constB176, bitIndex2)) | ((~v90(constB177, bitIndex0)) <=> v90(constB176, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB177) | (~nextState(constB176, constB177)) | (~(((~v90(constB177, bitIndex1)) <=> v90(constB176, bitIndex1)) | ((~v90(constB177, bitIndex2)) <=> v90(constB176, bitIndex2)) | ((~v90(constB177, bitIndex0)) <=> v90(constB176, bitIndex0)))))),
% 7.88/5.80 inference(rewrite,[status(thm)],[])).
% 7.88/5.80 tff(15605,plain,
% 7.88/5.80 ((v100(constB177) | (~nextState(constB176, constB177)) | (~(((~v90(constB177, bitIndex2)) <=> v90(constB176, bitIndex2)) | ((~v90(constB177, bitIndex1)) <=> v90(constB176, bitIndex1)) | ((~v90(constB177, bitIndex0)) <=> v90(constB176, bitIndex0))))) <=> (v100(constB177) | (~nextState(constB176, constB177)) | (~(((~v90(constB177, bitIndex1)) <=> v90(constB176, bitIndex1)) | ((~v90(constB177, bitIndex2)) <=> v90(constB176, bitIndex2)) | ((~v90(constB177, bitIndex0)) <=> v90(constB176, bitIndex0)))))),
% 7.88/5.80 inference(rewrite,[status(thm)],[])).
% 7.88/5.80 tff(15606,plain,
% 7.88/5.80 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB177) | (~nextState(constB176, constB177)) | (~(((~v90(constB177, bitIndex2)) <=> v90(constB176, bitIndex2)) | ((~v90(constB177, bitIndex1)) <=> v90(constB176, bitIndex1)) | ((~v90(constB177, bitIndex0)) <=> v90(constB176, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB177) | (~nextState(constB176, constB177)) | (~(((~v90(constB177, bitIndex1)) <=> v90(constB176, bitIndex1)) | ((~v90(constB177, bitIndex2)) <=> v90(constB176, bitIndex2)) | ((~v90(constB177, bitIndex0)) <=> v90(constB176, bitIndex0))))))),
% 7.88/5.80 inference(monotonicity,[status(thm)],[15605])).
% 7.88/5.80 tff(15607,plain,
% 7.88/5.80 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB177) | (~nextState(constB176, constB177)) | (~(((~v90(constB177, bitIndex2)) <=> v90(constB176, bitIndex2)) | ((~v90(constB177, bitIndex1)) <=> v90(constB176, bitIndex1)) | ((~v90(constB177, bitIndex0)) <=> v90(constB176, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB177) | (~nextState(constB176, constB177)) | (~(((~v90(constB177, bitIndex1)) <=> v90(constB176, bitIndex1)) | ((~v90(constB177, bitIndex2)) <=> v90(constB176, bitIndex2)) | ((~v90(constB177, bitIndex0)) <=> v90(constB176, bitIndex0)))))),
% 7.88/5.80 inference(transitivity,[status(thm)],[15606, 15604])).
% 7.88/5.80 tff(15608,plain,
% 7.88/5.80 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB177) | (~nextState(constB176, constB177)) | (~(((~v90(constB177, bitIndex2)) <=> v90(constB176, bitIndex2)) | ((~v90(constB177, bitIndex1)) <=> v90(constB176, bitIndex1)) | ((~v90(constB177, bitIndex0)) <=> v90(constB176, bitIndex0)))))),
% 7.88/5.80 inference(quant_inst,[status(thm)],[])).
% 7.88/5.80 tff(15609,plain,
% 7.88/5.80 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB177) | (~nextState(constB176, constB177)) | (~(((~v90(constB177, bitIndex1)) <=> v90(constB176, bitIndex1)) | ((~v90(constB177, bitIndex2)) <=> v90(constB176, bitIndex2)) | ((~v90(constB177, bitIndex0)) <=> v90(constB176, bitIndex0))))),
% 7.88/5.80 inference(modus_ponens,[status(thm)],[15608, 15607])).
% 7.88/5.80 tff(15610,plain,
% 7.88/5.80 (v100(constB177) | (~(((~v90(constB177, bitIndex1)) <=> v90(constB176, bitIndex1)) | ((~v90(constB177, bitIndex2)) <=> v90(constB176, bitIndex2)) | ((~v90(constB177, bitIndex0)) <=> v90(constB176, bitIndex0))))),
% 7.88/5.80 inference(unit_resolution,[status(thm)],[15609, 15580, 494])).
% 7.88/5.80 tff(15611,plain,
% 7.88/5.80 (~(((~v90(constB177, bitIndex1)) <=> v90(constB176, bitIndex1)) | ((~v90(constB177, bitIndex2)) <=> v90(constB176, bitIndex2)) | ((~v90(constB177, bitIndex0)) <=> v90(constB176, bitIndex0)))),
% 7.88/5.80 inference(unit_resolution,[status(thm)],[15610, 15603])).
% 7.88/5.80 tff(15612,plain,
% 7.88/5.80 ((((~v90(constB177, bitIndex1)) <=> v90(constB176, bitIndex1)) | ((~v90(constB177, bitIndex2)) <=> v90(constB176, bitIndex2)) | ((~v90(constB177, bitIndex0)) <=> v90(constB176, bitIndex0))) | (~((~v90(constB177, bitIndex2)) <=> v90(constB176, bitIndex2)))),
% 7.88/5.80 inference(tautology,[status(thm)],[])).
% 7.88/5.80 tff(15613,plain,
% 7.88/5.80 (~((~v90(constB177, bitIndex2)) <=> v90(constB176, bitIndex2))),
% 7.88/5.80 inference(unit_resolution,[status(thm)],[15612, 15611])).
% 7.88/5.80 tff(15614,plain,
% 7.88/5.80 (nextState(constB175, constB176) <=> nextState(constB175, constB176)),
% 7.88/5.80 inference(rewrite,[status(thm)],[])).
% 7.88/5.80 tff(15615,axiom,(nextState(constB175, constB176)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_175')).
% 7.88/5.80 tff(15616,plain,
% 7.88/5.80 (nextState(constB175, constB176)),
% 7.88/5.80 inference(modus_ponens,[status(thm)],[15615, 15614])).
% 7.88/5.80 tff(15617,plain,
% 7.88/5.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB175, constB176)) | (~(((~v129(constB176, bitIndex2)) <=> v127(constB175, bitIndex2)) | ((~v129(constB176, bitIndex1)) <=> v127(constB175, bitIndex1)) | ((~v129(constB176, bitIndex0)) <=> v127(constB175, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB175, constB176)) | (~(((~v129(constB176, bitIndex2)) <=> v127(constB175, bitIndex2)) | ((~v129(constB176, bitIndex1)) <=> v127(constB175, bitIndex1)) | ((~v129(constB176, bitIndex0)) <=> v127(constB175, bitIndex0)))))),
% 7.88/5.80 inference(rewrite,[status(thm)],[])).
% 7.88/5.80 tff(15618,plain,
% 7.88/5.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB175, constB176)) | (~(((~v129(constB176, bitIndex2)) <=> v127(constB175, bitIndex2)) | ((~v129(constB176, bitIndex1)) <=> v127(constB175, bitIndex1)) | ((~v129(constB176, bitIndex0)) <=> v127(constB175, bitIndex0)))))),
% 7.88/5.80 inference(quant_inst,[status(thm)],[])).
% 7.88/5.80 tff(15619,plain,
% 7.88/5.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB175, constB176)) | (~(((~v129(constB176, bitIndex2)) <=> v127(constB175, bitIndex2)) | ((~v129(constB176, bitIndex1)) <=> v127(constB175, bitIndex1)) | ((~v129(constB176, bitIndex0)) <=> v127(constB175, bitIndex0))))),
% 7.88/5.80 inference(modus_ponens,[status(thm)],[15618, 15617])).
% 7.88/5.80 tff(15620,plain,
% 7.88/5.80 (~(((~v129(constB176, bitIndex2)) <=> v127(constB175, bitIndex2)) | ((~v129(constB176, bitIndex1)) <=> v127(constB175, bitIndex1)) | ((~v129(constB176, bitIndex0)) <=> v127(constB175, bitIndex0)))),
% 7.88/5.80 inference(unit_resolution,[status(thm)],[15619, 15616, 517])).
% 7.88/5.80 tff(15621,plain,
% 7.88/5.80 ((((~v129(constB176, bitIndex2)) <=> v127(constB175, bitIndex2)) | ((~v129(constB176, bitIndex1)) <=> v127(constB175, bitIndex1)) | ((~v129(constB176, bitIndex0)) <=> v127(constB175, bitIndex0))) | (~((~v129(constB176, bitIndex2)) <=> v127(constB175, bitIndex2)))),
% 7.88/5.80 inference(tautology,[status(thm)],[])).
% 7.88/5.80 tff(15622,plain,
% 7.88/5.80 (~((~v129(constB176, bitIndex2)) <=> v127(constB175, bitIndex2))),
% 7.88/5.80 inference(unit_resolution,[status(thm)],[15621, 15620])).
% 7.88/5.80 tff(15623,plain,
% 7.88/5.80 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB175) <=> v26(constB175))),
% 7.88/5.80 inference(quant_inst,[status(thm)],[])).
% 7.88/5.80 tff(15624,plain,
% 7.88/5.80 (v111(constB175) <=> v26(constB175)),
% 7.88/5.80 inference(unit_resolution,[status(thm)],[15623, 536])).
% 7.88/5.80 tff(15625,plain,
% 7.88/5.80 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB175))),
% 7.88/5.80 inference(quant_inst,[status(thm)],[])).
% 7.88/5.80 tff(15626,plain,
% 7.88/5.80 (~v26(constB175)),
% 7.88/5.80 inference(unit_resolution,[status(thm)],[15625, 548])).
% 7.88/5.80 tff(15627,plain,
% 7.88/5.80 ((~(v111(constB175) <=> v26(constB175))) | (~v111(constB175)) | v26(constB175)),
% 7.88/5.80 inference(tautology,[status(thm)],[])).
% 7.88/5.80 tff(15628,plain,
% 7.88/5.80 ((~(v111(constB175) <=> v26(constB175))) | (~v111(constB175))),
% 7.88/5.80 inference(unit_resolution,[status(thm)],[15627, 15626])).
% 7.88/5.80 tff(15629,plain,
% 7.88/5.80 (~v111(constB175)),
% 7.88/5.80 inference(unit_resolution,[status(thm)],[15628, 15624])).
% 7.88/5.80 tff(15630,plain,
% 7.88/5.80 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB175) | (~(((~v127(constB175, bitIndex2)) <=> v130(constB175, bitIndex2)) | ((~v127(constB175, bitIndex1)) <=> v130(constB175, bitIndex1)) | ((~v127(constB175, bitIndex0)) <=> v130(constB175, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB175) | (~(((~v127(constB175, bitIndex2)) <=> v130(constB175, bitIndex2)) | ((~v127(constB175, bitIndex1)) <=> v130(constB175, bitIndex1)) | ((~v127(constB175, bitIndex0)) <=> v130(constB175, bitIndex0)))))),
% 7.88/5.80 inference(rewrite,[status(thm)],[])).
% 7.88/5.80 tff(15631,plain,
% 7.88/5.80 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB175) | (~(((~v127(constB175, bitIndex2)) <=> v130(constB175, bitIndex2)) | ((~v127(constB175, bitIndex1)) <=> v130(constB175, bitIndex1)) | ((~v127(constB175, bitIndex0)) <=> v130(constB175, bitIndex0)))))),
% 7.88/5.80 inference(quant_inst,[status(thm)],[])).
% 7.88/5.80 tff(15632,plain,
% 7.88/5.80 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB175) | (~(((~v127(constB175, bitIndex2)) <=> v130(constB175, bitIndex2)) | ((~v127(constB175, bitIndex1)) <=> v130(constB175, bitIndex1)) | ((~v127(constB175, bitIndex0)) <=> v130(constB175, bitIndex0))))),
% 7.88/5.80 inference(modus_ponens,[status(thm)],[15631, 15630])).
% 7.88/5.80 tff(15633,plain,
% 7.88/5.80 (v111(constB175) | (~(((~v127(constB175, bitIndex2)) <=> v130(constB175, bitIndex2)) | ((~v127(constB175, bitIndex1)) <=> v130(constB175, bitIndex1)) | ((~v127(constB175, bitIndex0)) <=> v130(constB175, bitIndex0))))),
% 7.88/5.80 inference(unit_resolution,[status(thm)],[15632, 566])).
% 7.88/5.80 tff(15634,plain,
% 7.88/5.80 (~(((~v127(constB175, bitIndex2)) <=> v130(constB175, bitIndex2)) | ((~v127(constB175, bitIndex1)) <=> v130(constB175, bitIndex1)) | ((~v127(constB175, bitIndex0)) <=> v130(constB175, bitIndex0)))),
% 7.88/5.80 inference(unit_resolution,[status(thm)],[15633, 15629])).
% 7.88/5.80 tff(15635,plain,
% 7.88/5.80 ((((~v127(constB175, bitIndex2)) <=> v130(constB175, bitIndex2)) | ((~v127(constB175, bitIndex1)) <=> v130(constB175, bitIndex1)) | ((~v127(constB175, bitIndex0)) <=> v130(constB175, bitIndex0))) | (~((~v127(constB175, bitIndex2)) <=> v130(constB175, bitIndex2)))),
% 7.88/5.80 inference(tautology,[status(thm)],[])).
% 7.88/5.80 tff(15636,plain,
% 7.88/5.80 (~((~v127(constB175, bitIndex2)) <=> v130(constB175, bitIndex2))),
% 7.88/5.80 inference(unit_resolution,[status(thm)],[15635, 15634])).
% 7.88/5.80 tff(15637,plain,
% 7.88/5.80 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB175) <=> (~(v90(constB175, bitIndex1) | v90(constB175, bitIndex2) | (~v90(constB175, bitIndex0)))))),
% 7.88/5.80 inference(quant_inst,[status(thm)],[])).
% 7.88/5.80 tff(15638,plain,
% 7.88/5.80 (v120(constB175) <=> (~(v90(constB175, bitIndex1) | v90(constB175, bitIndex2) | (~v90(constB175, bitIndex0))))),
% 7.88/5.80 inference(unit_resolution,[status(thm)],[15637, 665])).
% 7.88/5.80 tff(15639,plain,
% 7.88/5.80 (nextState(constB174, constB175) <=> nextState(constB174, constB175)),
% 7.88/5.80 inference(rewrite,[status(thm)],[])).
% 7.88/5.80 tff(15640,axiom,(nextState(constB174, constB175)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_174')).
% 7.88/5.80 tff(15641,plain,
% 7.88/5.80 (nextState(constB174, constB175)),
% 7.88/5.80 inference(modus_ponens,[status(thm)],[15640, 15639])).
% 7.88/5.80 tff(15642,plain,
% 7.88/5.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB174, constB175)) | (v100(constB175) <=> (~((~v101(constB175)) | (~v110(constB175))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB174, constB175)) | (v100(constB175) <=> (~((~v101(constB175)) | (~v110(constB175))))))),
% 7.88/5.80 inference(rewrite,[status(thm)],[])).
% 7.88/5.80 tff(15643,plain,
% 7.88/5.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB174, constB175)) | (v100(constB175) <=> (~((~v101(constB175)) | (~v110(constB175))))))),
% 7.88/5.80 inference(quant_inst,[status(thm)],[])).
% 7.88/5.80 tff(15644,plain,
% 7.88/5.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB174, constB175)) | (v100(constB175) <=> (~((~v101(constB175)) | (~v110(constB175)))))),
% 7.88/5.80 inference(modus_ponens,[status(thm)],[15643, 15642])).
% 7.88/5.80 tff(15645,plain,
% 7.88/5.80 (v100(constB175) <=> (~((~v101(constB175)) | (~v110(constB175))))),
% 7.88/5.80 inference(unit_resolution,[status(thm)],[15644, 15641, 445])).
% 7.88/5.80 tff(15646,plain,
% 7.88/5.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB174, constB175)) | (v101(constB175) <=> (~((~v1(constB175)) | (~v102(constB175))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB174, constB175)) | (v101(constB175) <=> (~((~v1(constB175)) | (~v102(constB175))))))),
% 7.88/5.80 inference(rewrite,[status(thm)],[])).
% 7.88/5.80 tff(15647,plain,
% 7.88/5.80 (((~nextState(constB174, constB175)) | (v101(constB175) <=> (~((~v102(constB175)) | (~v1(constB175)))))) <=> ((~nextState(constB174, constB175)) | (v101(constB175) <=> (~((~v1(constB175)) | (~v102(constB175))))))),
% 7.88/5.80 inference(rewrite,[status(thm)],[])).
% 7.88/5.80 tff(15648,plain,
% 7.88/5.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB174, constB175)) | (v101(constB175) <=> (~((~v102(constB175)) | (~v1(constB175))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB174, constB175)) | (v101(constB175) <=> (~((~v1(constB175)) | (~v102(constB175)))))))),
% 7.88/5.80 inference(monotonicity,[status(thm)],[15647])).
% 7.88/5.80 tff(15649,plain,
% 7.88/5.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB174, constB175)) | (v101(constB175) <=> (~((~v102(constB175)) | (~v1(constB175))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB174, constB175)) | (v101(constB175) <=> (~((~v1(constB175)) | (~v102(constB175))))))),
% 7.88/5.80 inference(transitivity,[status(thm)],[15648, 15646])).
% 7.88/5.80 tff(15650,plain,
% 7.88/5.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB174, constB175)) | (v101(constB175) <=> (~((~v102(constB175)) | (~v1(constB175))))))),
% 7.88/5.80 inference(quant_inst,[status(thm)],[])).
% 7.88/5.80 tff(15651,plain,
% 7.88/5.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB174, constB175)) | (v101(constB175) <=> (~((~v1(constB175)) | (~v102(constB175)))))),
% 7.88/5.80 inference(modus_ponens,[status(thm)],[15650, 15649])).
% 7.88/5.80 tff(15652,plain,
% 7.88/5.80 (v101(constB175) <=> (~((~v1(constB175)) | (~v102(constB175))))),
% 7.88/5.80 inference(unit_resolution,[status(thm)],[15651, 15641, 465])).
% 7.88/5.80 tff(15653,plain,
% 7.88/5.80 ((~v1(constB175)) <=> (~v1(constB175))),
% 7.88/5.80 inference(rewrite,[status(thm)],[])).
% 7.88/5.80 tff(15654,axiom,(~v1(constB175)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_175')).
% 7.88/5.80 tff(15655,plain,
% 7.88/5.80 (~v1(constB175)),
% 7.88/5.80 inference(modus_ponens,[status(thm)],[15654, 15653])).
% 7.88/5.80 tff(15656,plain,
% 7.88/5.80 (((~v1(constB175)) | (~v102(constB175))) | v1(constB175)),
% 7.88/5.80 inference(tautology,[status(thm)],[])).
% 7.88/5.80 tff(15657,plain,
% 7.88/5.80 ((~v1(constB175)) | (~v102(constB175))),
% 7.88/5.80 inference(unit_resolution,[status(thm)],[15656, 15655])).
% 7.88/5.80 tff(15658,plain,
% 7.88/5.80 ((~(v101(constB175) <=> (~((~v1(constB175)) | (~v102(constB175)))))) | (~v101(constB175)) | (~((~v1(constB175)) | (~v102(constB175))))),
% 7.88/5.80 inference(tautology,[status(thm)],[])).
% 7.88/5.80 tff(15659,plain,
% 7.88/5.80 ((~(v101(constB175) <=> (~((~v1(constB175)) | (~v102(constB175)))))) | (~v101(constB175))),
% 7.88/5.80 inference(unit_resolution,[status(thm)],[15658, 15657])).
% 7.88/5.80 tff(15660,plain,
% 7.88/5.80 (~v101(constB175)),
% 7.88/5.80 inference(unit_resolution,[status(thm)],[15659, 15652])).
% 7.88/5.80 tff(15661,plain,
% 7.88/5.80 (((~v101(constB175)) | (~v110(constB175))) | v101(constB175)),
% 7.88/5.80 inference(tautology,[status(thm)],[])).
% 7.88/5.80 tff(15662,plain,
% 7.88/5.80 ((~v101(constB175)) | (~v110(constB175))),
% 7.88/5.80 inference(unit_resolution,[status(thm)],[15661, 15660])).
% 7.88/5.80 tff(15663,plain,
% 7.88/5.80 ((~(v100(constB175) <=> (~((~v101(constB175)) | (~v110(constB175)))))) | (~v100(constB175)) | (~((~v101(constB175)) | (~v110(constB175))))),
% 7.88/5.80 inference(tautology,[status(thm)],[])).
% 7.88/5.80 tff(15664,plain,
% 7.88/5.80 (~v100(constB175)),
% 7.88/5.80 inference(unit_resolution,[status(thm)],[15663, 15662, 15645])).
% 7.88/5.80 tff(15665,plain,
% 7.88/5.80 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB175) | (~nextState(constB174, constB175)) | (~(((~v90(constB175, bitIndex1)) <=> v90(constB174, bitIndex1)) | ((~v90(constB175, bitIndex2)) <=> v90(constB174, bitIndex2)) | ((~v90(constB175, bitIndex0)) <=> v90(constB174, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB175) | (~nextState(constB174, constB175)) | (~(((~v90(constB175, bitIndex1)) <=> v90(constB174, bitIndex1)) | ((~v90(constB175, bitIndex2)) <=> v90(constB174, bitIndex2)) | ((~v90(constB175, bitIndex0)) <=> v90(constB174, bitIndex0)))))),
% 7.88/5.81 inference(rewrite,[status(thm)],[])).
% 7.88/5.81 tff(15666,plain,
% 7.88/5.81 ((v100(constB175) | (~nextState(constB174, constB175)) | (~(((~v90(constB175, bitIndex2)) <=> v90(constB174, bitIndex2)) | ((~v90(constB175, bitIndex1)) <=> v90(constB174, bitIndex1)) | ((~v90(constB175, bitIndex0)) <=> v90(constB174, bitIndex0))))) <=> (v100(constB175) | (~nextState(constB174, constB175)) | (~(((~v90(constB175, bitIndex1)) <=> v90(constB174, bitIndex1)) | ((~v90(constB175, bitIndex2)) <=> v90(constB174, bitIndex2)) | ((~v90(constB175, bitIndex0)) <=> v90(constB174, bitIndex0)))))),
% 7.88/5.81 inference(rewrite,[status(thm)],[])).
% 7.88/5.81 tff(15667,plain,
% 7.88/5.81 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB175) | (~nextState(constB174, constB175)) | (~(((~v90(constB175, bitIndex2)) <=> v90(constB174, bitIndex2)) | ((~v90(constB175, bitIndex1)) <=> v90(constB174, bitIndex1)) | ((~v90(constB175, bitIndex0)) <=> v90(constB174, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB175) | (~nextState(constB174, constB175)) | (~(((~v90(constB175, bitIndex1)) <=> v90(constB174, bitIndex1)) | ((~v90(constB175, bitIndex2)) <=> v90(constB174, bitIndex2)) | ((~v90(constB175, bitIndex0)) <=> v90(constB174, bitIndex0))))))),
% 7.88/5.81 inference(monotonicity,[status(thm)],[15666])).
% 7.88/5.81 tff(15668,plain,
% 7.88/5.81 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB175) | (~nextState(constB174, constB175)) | (~(((~v90(constB175, bitIndex2)) <=> v90(constB174, bitIndex2)) | ((~v90(constB175, bitIndex1)) <=> v90(constB174, bitIndex1)) | ((~v90(constB175, bitIndex0)) <=> v90(constB174, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB175) | (~nextState(constB174, constB175)) | (~(((~v90(constB175, bitIndex1)) <=> v90(constB174, bitIndex1)) | ((~v90(constB175, bitIndex2)) <=> v90(constB174, bitIndex2)) | ((~v90(constB175, bitIndex0)) <=> v90(constB174, bitIndex0)))))),
% 7.88/5.81 inference(transitivity,[status(thm)],[15667, 15665])).
% 7.88/5.81 tff(15669,plain,
% 7.88/5.81 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB175) | (~nextState(constB174, constB175)) | (~(((~v90(constB175, bitIndex2)) <=> v90(constB174, bitIndex2)) | ((~v90(constB175, bitIndex1)) <=> v90(constB174, bitIndex1)) | ((~v90(constB175, bitIndex0)) <=> v90(constB174, bitIndex0)))))),
% 7.88/5.81 inference(quant_inst,[status(thm)],[])).
% 7.88/5.81 tff(15670,plain,
% 7.88/5.81 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB175) | (~nextState(constB174, constB175)) | (~(((~v90(constB175, bitIndex1)) <=> v90(constB174, bitIndex1)) | ((~v90(constB175, bitIndex2)) <=> v90(constB174, bitIndex2)) | ((~v90(constB175, bitIndex0)) <=> v90(constB174, bitIndex0))))),
% 7.88/5.81 inference(modus_ponens,[status(thm)],[15669, 15668])).
% 7.88/5.81 tff(15671,plain,
% 7.88/5.81 (v100(constB175) | (~(((~v90(constB175, bitIndex1)) <=> v90(constB174, bitIndex1)) | ((~v90(constB175, bitIndex2)) <=> v90(constB174, bitIndex2)) | ((~v90(constB175, bitIndex0)) <=> v90(constB174, bitIndex0))))),
% 7.88/5.81 inference(unit_resolution,[status(thm)],[15670, 15641, 494])).
% 7.88/5.81 tff(15672,plain,
% 7.88/5.81 (~(((~v90(constB175, bitIndex1)) <=> v90(constB174, bitIndex1)) | ((~v90(constB175, bitIndex2)) <=> v90(constB174, bitIndex2)) | ((~v90(constB175, bitIndex0)) <=> v90(constB174, bitIndex0)))),
% 7.88/5.81 inference(unit_resolution,[status(thm)],[15671, 15664])).
% 7.88/5.81 tff(15673,plain,
% 7.88/5.81 ((((~v90(constB175, bitIndex1)) <=> v90(constB174, bitIndex1)) | ((~v90(constB175, bitIndex2)) <=> v90(constB174, bitIndex2)) | ((~v90(constB175, bitIndex0)) <=> v90(constB174, bitIndex0))) | (~((~v90(constB175, bitIndex0)) <=> v90(constB174, bitIndex0)))),
% 7.88/5.81 inference(tautology,[status(thm)],[])).
% 7.88/5.81 tff(15674,plain,
% 7.88/5.81 (~((~v90(constB175, bitIndex0)) <=> v90(constB174, bitIndex0))),
% 7.88/5.81 inference(unit_resolution,[status(thm)],[15673, 15672])).
% 7.88/5.81 tff(15675,plain,
% 7.88/5.81 (nextState(constB173, constB174) <=> nextState(constB173, constB174)),
% 7.88/5.81 inference(rewrite,[status(thm)],[])).
% 7.88/5.81 tff(15676,axiom,(nextState(constB173, constB174)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_173')).
% 7.88/5.81 tff(15677,plain,
% 7.88/5.81 (nextState(constB173, constB174)),
% 7.88/5.81 inference(modus_ponens,[status(thm)],[15676, 15675])).
% 7.88/5.81 tff(15678,plain,
% 7.88/5.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB173, constB174)) | (~(((~v129(constB174, bitIndex2)) <=> v127(constB173, bitIndex2)) | ((~v129(constB174, bitIndex1)) <=> v127(constB173, bitIndex1)) | ((~v129(constB174, bitIndex0)) <=> v127(constB173, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB173, constB174)) | (~(((~v129(constB174, bitIndex2)) <=> v127(constB173, bitIndex2)) | ((~v129(constB174, bitIndex1)) <=> v127(constB173, bitIndex1)) | ((~v129(constB174, bitIndex0)) <=> v127(constB173, bitIndex0)))))),
% 7.88/5.81 inference(rewrite,[status(thm)],[])).
% 7.88/5.81 tff(15679,plain,
% 7.88/5.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB173, constB174)) | (~(((~v129(constB174, bitIndex2)) <=> v127(constB173, bitIndex2)) | ((~v129(constB174, bitIndex1)) <=> v127(constB173, bitIndex1)) | ((~v129(constB174, bitIndex0)) <=> v127(constB173, bitIndex0)))))),
% 7.88/5.81 inference(quant_inst,[status(thm)],[])).
% 7.88/5.81 tff(15680,plain,
% 7.88/5.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB173, constB174)) | (~(((~v129(constB174, bitIndex2)) <=> v127(constB173, bitIndex2)) | ((~v129(constB174, bitIndex1)) <=> v127(constB173, bitIndex1)) | ((~v129(constB174, bitIndex0)) <=> v127(constB173, bitIndex0))))),
% 7.88/5.81 inference(modus_ponens,[status(thm)],[15679, 15678])).
% 7.88/5.81 tff(15681,plain,
% 7.88/5.81 (~(((~v129(constB174, bitIndex2)) <=> v127(constB173, bitIndex2)) | ((~v129(constB174, bitIndex1)) <=> v127(constB173, bitIndex1)) | ((~v129(constB174, bitIndex0)) <=> v127(constB173, bitIndex0)))),
% 7.88/5.81 inference(unit_resolution,[status(thm)],[15680, 15677, 517])).
% 7.88/5.81 tff(15682,plain,
% 7.88/5.81 ((((~v129(constB174, bitIndex2)) <=> v127(constB173, bitIndex2)) | ((~v129(constB174, bitIndex1)) <=> v127(constB173, bitIndex1)) | ((~v129(constB174, bitIndex0)) <=> v127(constB173, bitIndex0))) | (~((~v129(constB174, bitIndex0)) <=> v127(constB173, bitIndex0)))),
% 7.88/5.81 inference(tautology,[status(thm)],[])).
% 7.88/5.81 tff(15683,plain,
% 7.88/5.81 (~((~v129(constB174, bitIndex0)) <=> v127(constB173, bitIndex0))),
% 7.88/5.81 inference(unit_resolution,[status(thm)],[15682, 15681])).
% 7.88/5.81 tff(15684,plain,
% 7.88/5.81 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB173) <=> v26(constB173))),
% 7.88/5.81 inference(quant_inst,[status(thm)],[])).
% 7.88/5.81 tff(15685,plain,
% 7.88/5.81 (v111(constB173) <=> v26(constB173)),
% 7.88/5.81 inference(unit_resolution,[status(thm)],[15684, 536])).
% 7.88/5.81 tff(15686,plain,
% 7.88/5.81 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB173))),
% 7.88/5.81 inference(quant_inst,[status(thm)],[])).
% 7.88/5.81 tff(15687,plain,
% 7.88/5.81 (~v26(constB173)),
% 7.88/5.81 inference(unit_resolution,[status(thm)],[15686, 548])).
% 7.88/5.81 tff(15688,plain,
% 7.88/5.81 ((~(v111(constB173) <=> v26(constB173))) | (~v111(constB173)) | v26(constB173)),
% 7.88/5.81 inference(tautology,[status(thm)],[])).
% 7.88/5.81 tff(15689,plain,
% 7.88/5.81 ((~(v111(constB173) <=> v26(constB173))) | (~v111(constB173))),
% 7.88/5.81 inference(unit_resolution,[status(thm)],[15688, 15687])).
% 7.88/5.81 tff(15690,plain,
% 7.88/5.81 (~v111(constB173)),
% 7.88/5.81 inference(unit_resolution,[status(thm)],[15689, 15685])).
% 7.88/5.81 tff(15691,plain,
% 7.88/5.81 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB173) | (~(((~v127(constB173, bitIndex2)) <=> v130(constB173, bitIndex2)) | ((~v127(constB173, bitIndex1)) <=> v130(constB173, bitIndex1)) | ((~v127(constB173, bitIndex0)) <=> v130(constB173, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB173) | (~(((~v127(constB173, bitIndex2)) <=> v130(constB173, bitIndex2)) | ((~v127(constB173, bitIndex1)) <=> v130(constB173, bitIndex1)) | ((~v127(constB173, bitIndex0)) <=> v130(constB173, bitIndex0)))))),
% 7.88/5.81 inference(rewrite,[status(thm)],[])).
% 7.88/5.81 tff(15692,plain,
% 7.88/5.81 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB173) | (~(((~v127(constB173, bitIndex2)) <=> v130(constB173, bitIndex2)) | ((~v127(constB173, bitIndex1)) <=> v130(constB173, bitIndex1)) | ((~v127(constB173, bitIndex0)) <=> v130(constB173, bitIndex0)))))),
% 7.88/5.81 inference(quant_inst,[status(thm)],[])).
% 7.88/5.81 tff(15693,plain,
% 7.88/5.81 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB173) | (~(((~v127(constB173, bitIndex2)) <=> v130(constB173, bitIndex2)) | ((~v127(constB173, bitIndex1)) <=> v130(constB173, bitIndex1)) | ((~v127(constB173, bitIndex0)) <=> v130(constB173, bitIndex0))))),
% 7.88/5.81 inference(modus_ponens,[status(thm)],[15692, 15691])).
% 7.88/5.81 tff(15694,plain,
% 7.88/5.81 (v111(constB173) | (~(((~v127(constB173, bitIndex2)) <=> v130(constB173, bitIndex2)) | ((~v127(constB173, bitIndex1)) <=> v130(constB173, bitIndex1)) | ((~v127(constB173, bitIndex0)) <=> v130(constB173, bitIndex0))))),
% 7.88/5.81 inference(unit_resolution,[status(thm)],[15693, 566])).
% 7.88/5.81 tff(15695,plain,
% 7.88/5.81 (~(((~v127(constB173, bitIndex2)) <=> v130(constB173, bitIndex2)) | ((~v127(constB173, bitIndex1)) <=> v130(constB173, bitIndex1)) | ((~v127(constB173, bitIndex0)) <=> v130(constB173, bitIndex0)))),
% 7.88/5.81 inference(unit_resolution,[status(thm)],[15694, 15690])).
% 7.88/5.81 tff(15696,plain,
% 7.88/5.81 ((((~v127(constB173, bitIndex2)) <=> v130(constB173, bitIndex2)) | ((~v127(constB173, bitIndex1)) <=> v130(constB173, bitIndex1)) | ((~v127(constB173, bitIndex0)) <=> v130(constB173, bitIndex0))) | (~((~v127(constB173, bitIndex0)) <=> v130(constB173, bitIndex0)))),
% 7.88/5.81 inference(tautology,[status(thm)],[])).
% 7.88/5.81 tff(15697,plain,
% 7.88/5.81 (~((~v127(constB173, bitIndex0)) <=> v130(constB173, bitIndex0))),
% 7.88/5.81 inference(unit_resolution,[status(thm)],[15696, 15695])).
% 7.88/5.81 tff(15698,plain,
% 7.88/5.81 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB173) <=> (~(v90(constB173, bitIndex1) | v90(constB173, bitIndex0) | (~v90(constB173, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB173) <=> (~(v90(constB173, bitIndex1) | v90(constB173, bitIndex0) | (~v90(constB173, bitIndex2))))))),
% 7.88/5.81 inference(rewrite,[status(thm)],[])).
% 7.88/5.81 tff(15699,plain,
% 7.88/5.81 ((v123(constB173) <=> (~(v90(constB173, bitIndex0) | v90(constB173, bitIndex1) | (~v90(constB173, bitIndex2))))) <=> (v123(constB173) <=> (~(v90(constB173, bitIndex1) | v90(constB173, bitIndex0) | (~v90(constB173, bitIndex2)))))),
% 7.88/5.81 inference(rewrite,[status(thm)],[])).
% 7.88/5.81 tff(15700,plain,
% 7.88/5.81 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB173) <=> (~(v90(constB173, bitIndex0) | v90(constB173, bitIndex1) | (~v90(constB173, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB173) <=> (~(v90(constB173, bitIndex1) | v90(constB173, bitIndex0) | (~v90(constB173, bitIndex2))))))),
% 7.88/5.81 inference(monotonicity,[status(thm)],[15699])).
% 7.88/5.81 tff(15701,plain,
% 7.88/5.81 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB173) <=> (~(v90(constB173, bitIndex0) | v90(constB173, bitIndex1) | (~v90(constB173, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB173) <=> (~(v90(constB173, bitIndex1) | v90(constB173, bitIndex0) | (~v90(constB173, bitIndex2))))))),
% 7.88/5.81 inference(transitivity,[status(thm)],[15700, 15698])).
% 7.88/5.81 tff(15702,plain,
% 7.88/5.81 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB173) <=> (~(v90(constB173, bitIndex0) | v90(constB173, bitIndex1) | (~v90(constB173, bitIndex2)))))),
% 7.88/5.81 inference(quant_inst,[status(thm)],[])).
% 7.88/5.81 tff(15703,plain,
% 7.88/5.81 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB173) <=> (~(v90(constB173, bitIndex1) | v90(constB173, bitIndex0) | (~v90(constB173, bitIndex2)))))),
% 7.88/5.81 inference(modus_ponens,[status(thm)],[15702, 15701])).
% 7.88/5.81 tff(15704,plain,
% 7.88/5.81 (v123(constB173) <=> (~(v90(constB173, bitIndex1) | v90(constB173, bitIndex0) | (~v90(constB173, bitIndex2))))),
% 7.88/5.81 inference(unit_resolution,[status(thm)],[15703, 800])).
% 7.88/5.81 tff(15705,plain,
% 7.88/5.81 (nextState(constB172, constB173) <=> nextState(constB172, constB173)),
% 7.88/5.81 inference(rewrite,[status(thm)],[])).
% 7.88/5.81 tff(15706,axiom,(nextState(constB172, constB173)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_172')).
% 7.88/5.81 tff(15707,plain,
% 7.88/5.81 (nextState(constB172, constB173)),
% 7.88/5.81 inference(modus_ponens,[status(thm)],[15706, 15705])).
% 7.88/5.81 tff(15708,plain,
% 7.88/5.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB172, constB173)) | (v100(constB173) <=> (~((~v101(constB173)) | (~v110(constB173))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB172, constB173)) | (v100(constB173) <=> (~((~v101(constB173)) | (~v110(constB173))))))),
% 7.88/5.81 inference(rewrite,[status(thm)],[])).
% 7.88/5.81 tff(15709,plain,
% 7.88/5.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB172, constB173)) | (v100(constB173) <=> (~((~v101(constB173)) | (~v110(constB173))))))),
% 7.88/5.81 inference(quant_inst,[status(thm)],[])).
% 7.88/5.81 tff(15710,plain,
% 7.88/5.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB172, constB173)) | (v100(constB173) <=> (~((~v101(constB173)) | (~v110(constB173)))))),
% 7.88/5.81 inference(modus_ponens,[status(thm)],[15709, 15708])).
% 7.88/5.81 tff(15711,plain,
% 7.88/5.81 (v100(constB173) <=> (~((~v101(constB173)) | (~v110(constB173))))),
% 7.88/5.81 inference(unit_resolution,[status(thm)],[15710, 15707, 445])).
% 7.88/5.81 tff(15712,plain,
% 7.88/5.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB172, constB173)) | (v101(constB173) <=> (~((~v1(constB173)) | (~v102(constB173))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB172, constB173)) | (v101(constB173) <=> (~((~v1(constB173)) | (~v102(constB173))))))),
% 7.88/5.81 inference(rewrite,[status(thm)],[])).
% 7.88/5.81 tff(15713,plain,
% 7.88/5.81 (((~nextState(constB172, constB173)) | (v101(constB173) <=> (~((~v102(constB173)) | (~v1(constB173)))))) <=> ((~nextState(constB172, constB173)) | (v101(constB173) <=> (~((~v1(constB173)) | (~v102(constB173))))))),
% 7.88/5.81 inference(rewrite,[status(thm)],[])).
% 7.88/5.81 tff(15714,plain,
% 7.88/5.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB172, constB173)) | (v101(constB173) <=> (~((~v102(constB173)) | (~v1(constB173))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB172, constB173)) | (v101(constB173) <=> (~((~v1(constB173)) | (~v102(constB173)))))))),
% 7.88/5.81 inference(monotonicity,[status(thm)],[15713])).
% 7.88/5.81 tff(15715,plain,
% 7.88/5.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB172, constB173)) | (v101(constB173) <=> (~((~v102(constB173)) | (~v1(constB173))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB172, constB173)) | (v101(constB173) <=> (~((~v1(constB173)) | (~v102(constB173))))))),
% 7.88/5.81 inference(transitivity,[status(thm)],[15714, 15712])).
% 7.88/5.81 tff(15716,plain,
% 7.88/5.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB172, constB173)) | (v101(constB173) <=> (~((~v102(constB173)) | (~v1(constB173))))))),
% 7.88/5.81 inference(quant_inst,[status(thm)],[])).
% 7.88/5.81 tff(15717,plain,
% 7.88/5.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB172, constB173)) | (v101(constB173) <=> (~((~v1(constB173)) | (~v102(constB173)))))),
% 7.88/5.81 inference(modus_ponens,[status(thm)],[15716, 15715])).
% 7.88/5.81 tff(15718,plain,
% 7.88/5.81 (v101(constB173) <=> (~((~v1(constB173)) | (~v102(constB173))))),
% 7.88/5.81 inference(unit_resolution,[status(thm)],[15717, 15707, 465])).
% 7.88/5.81 tff(15719,plain,
% 7.88/5.81 ((~v1(constB173)) <=> (~v1(constB173))),
% 7.88/5.81 inference(rewrite,[status(thm)],[])).
% 7.88/5.81 tff(15720,axiom,(~v1(constB173)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_173')).
% 7.88/5.81 tff(15721,plain,
% 7.88/5.81 (~v1(constB173)),
% 7.88/5.81 inference(modus_ponens,[status(thm)],[15720, 15719])).
% 7.88/5.81 tff(15722,plain,
% 7.88/5.81 (((~v1(constB173)) | (~v102(constB173))) | v1(constB173)),
% 7.88/5.81 inference(tautology,[status(thm)],[])).
% 7.88/5.81 tff(15723,plain,
% 7.88/5.81 ((~v1(constB173)) | (~v102(constB173))),
% 7.88/5.81 inference(unit_resolution,[status(thm)],[15722, 15721])).
% 7.88/5.81 tff(15724,plain,
% 7.88/5.81 ((~(v101(constB173) <=> (~((~v1(constB173)) | (~v102(constB173)))))) | (~v101(constB173)) | (~((~v1(constB173)) | (~v102(constB173))))),
% 7.88/5.81 inference(tautology,[status(thm)],[])).
% 7.88/5.81 tff(15725,plain,
% 7.88/5.81 ((~(v101(constB173) <=> (~((~v1(constB173)) | (~v102(constB173)))))) | (~v101(constB173))),
% 7.88/5.81 inference(unit_resolution,[status(thm)],[15724, 15723])).
% 7.88/5.81 tff(15726,plain,
% 7.88/5.81 (~v101(constB173)),
% 7.88/5.81 inference(unit_resolution,[status(thm)],[15725, 15718])).
% 7.88/5.81 tff(15727,plain,
% 7.88/5.81 (((~v101(constB173)) | (~v110(constB173))) | v101(constB173)),
% 7.88/5.81 inference(tautology,[status(thm)],[])).
% 7.88/5.81 tff(15728,plain,
% 7.88/5.81 ((~v101(constB173)) | (~v110(constB173))),
% 7.88/5.81 inference(unit_resolution,[status(thm)],[15727, 15726])).
% 7.88/5.81 tff(15729,plain,
% 7.88/5.81 ((~(v100(constB173) <=> (~((~v101(constB173)) | (~v110(constB173)))))) | (~v100(constB173)) | (~((~v101(constB173)) | (~v110(constB173))))),
% 7.88/5.81 inference(tautology,[status(thm)],[])).
% 7.88/5.81 tff(15730,plain,
% 7.88/5.81 (~v100(constB173)),
% 7.88/5.81 inference(unit_resolution,[status(thm)],[15729, 15728, 15711])).
% 7.88/5.81 tff(15731,plain,
% 7.88/5.81 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB173) | (~nextState(constB172, constB173)) | (~(((~v90(constB173, bitIndex1)) <=> v90(constB172, bitIndex1)) | ((~v90(constB173, bitIndex2)) <=> v90(constB172, bitIndex2)) | ((~v90(constB173, bitIndex0)) <=> v90(constB172, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB173) | (~nextState(constB172, constB173)) | (~(((~v90(constB173, bitIndex1)) <=> v90(constB172, bitIndex1)) | ((~v90(constB173, bitIndex2)) <=> v90(constB172, bitIndex2)) | ((~v90(constB173, bitIndex0)) <=> v90(constB172, bitIndex0)))))),
% 7.88/5.81 inference(rewrite,[status(thm)],[])).
% 7.88/5.81 tff(15732,plain,
% 7.88/5.81 ((v100(constB173) | (~nextState(constB172, constB173)) | (~(((~v90(constB173, bitIndex2)) <=> v90(constB172, bitIndex2)) | ((~v90(constB173, bitIndex1)) <=> v90(constB172, bitIndex1)) | ((~v90(constB173, bitIndex0)) <=> v90(constB172, bitIndex0))))) <=> (v100(constB173) | (~nextState(constB172, constB173)) | (~(((~v90(constB173, bitIndex1)) <=> v90(constB172, bitIndex1)) | ((~v90(constB173, bitIndex2)) <=> v90(constB172, bitIndex2)) | ((~v90(constB173, bitIndex0)) <=> v90(constB172, bitIndex0)))))),
% 7.88/5.81 inference(rewrite,[status(thm)],[])).
% 7.88/5.81 tff(15733,plain,
% 7.88/5.81 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB173) | (~nextState(constB172, constB173)) | (~(((~v90(constB173, bitIndex2)) <=> v90(constB172, bitIndex2)) | ((~v90(constB173, bitIndex1)) <=> v90(constB172, bitIndex1)) | ((~v90(constB173, bitIndex0)) <=> v90(constB172, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB173) | (~nextState(constB172, constB173)) | (~(((~v90(constB173, bitIndex1)) <=> v90(constB172, bitIndex1)) | ((~v90(constB173, bitIndex2)) <=> v90(constB172, bitIndex2)) | ((~v90(constB173, bitIndex0)) <=> v90(constB172, bitIndex0))))))),
% 7.88/5.81 inference(monotonicity,[status(thm)],[15732])).
% 7.88/5.81 tff(15734,plain,
% 7.88/5.81 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB173) | (~nextState(constB172, constB173)) | (~(((~v90(constB173, bitIndex2)) <=> v90(constB172, bitIndex2)) | ((~v90(constB173, bitIndex1)) <=> v90(constB172, bitIndex1)) | ((~v90(constB173, bitIndex0)) <=> v90(constB172, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB173) | (~nextState(constB172, constB173)) | (~(((~v90(constB173, bitIndex1)) <=> v90(constB172, bitIndex1)) | ((~v90(constB173, bitIndex2)) <=> v90(constB172, bitIndex2)) | ((~v90(constB173, bitIndex0)) <=> v90(constB172, bitIndex0)))))),
% 7.88/5.82 inference(transitivity,[status(thm)],[15733, 15731])).
% 7.88/5.82 tff(15735,plain,
% 7.88/5.82 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB173) | (~nextState(constB172, constB173)) | (~(((~v90(constB173, bitIndex2)) <=> v90(constB172, bitIndex2)) | ((~v90(constB173, bitIndex1)) <=> v90(constB172, bitIndex1)) | ((~v90(constB173, bitIndex0)) <=> v90(constB172, bitIndex0)))))),
% 7.88/5.82 inference(quant_inst,[status(thm)],[])).
% 7.88/5.82 tff(15736,plain,
% 7.88/5.82 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB173) | (~nextState(constB172, constB173)) | (~(((~v90(constB173, bitIndex1)) <=> v90(constB172, bitIndex1)) | ((~v90(constB173, bitIndex2)) <=> v90(constB172, bitIndex2)) | ((~v90(constB173, bitIndex0)) <=> v90(constB172, bitIndex0))))),
% 7.88/5.82 inference(modus_ponens,[status(thm)],[15735, 15734])).
% 7.88/5.82 tff(15737,plain,
% 7.88/5.82 (v100(constB173) | (~(((~v90(constB173, bitIndex1)) <=> v90(constB172, bitIndex1)) | ((~v90(constB173, bitIndex2)) <=> v90(constB172, bitIndex2)) | ((~v90(constB173, bitIndex0)) <=> v90(constB172, bitIndex0))))),
% 7.88/5.82 inference(unit_resolution,[status(thm)],[15736, 15707, 494])).
% 7.88/5.82 tff(15738,plain,
% 7.88/5.82 (~(((~v90(constB173, bitIndex1)) <=> v90(constB172, bitIndex1)) | ((~v90(constB173, bitIndex2)) <=> v90(constB172, bitIndex2)) | ((~v90(constB173, bitIndex0)) <=> v90(constB172, bitIndex0)))),
% 7.88/5.82 inference(unit_resolution,[status(thm)],[15737, 15730])).
% 7.88/5.82 tff(15739,plain,
% 7.88/5.82 ((((~v90(constB173, bitIndex1)) <=> v90(constB172, bitIndex1)) | ((~v90(constB173, bitIndex2)) <=> v90(constB172, bitIndex2)) | ((~v90(constB173, bitIndex0)) <=> v90(constB172, bitIndex0))) | (~((~v90(constB173, bitIndex2)) <=> v90(constB172, bitIndex2)))),
% 7.88/5.82 inference(tautology,[status(thm)],[])).
% 7.88/5.82 tff(15740,plain,
% 7.88/5.82 (~((~v90(constB173, bitIndex2)) <=> v90(constB172, bitIndex2))),
% 7.88/5.82 inference(unit_resolution,[status(thm)],[15739, 15738])).
% 7.88/5.82 tff(15741,plain,
% 7.88/5.82 (nextState(constB171, constB172) <=> nextState(constB171, constB172)),
% 7.88/5.82 inference(rewrite,[status(thm)],[])).
% 7.88/5.82 tff(15742,axiom,(nextState(constB171, constB172)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_171')).
% 7.88/5.82 tff(15743,plain,
% 7.88/5.82 (nextState(constB171, constB172)),
% 7.88/5.82 inference(modus_ponens,[status(thm)],[15742, 15741])).
% 7.88/5.82 tff(15744,plain,
% 7.88/5.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB171, constB172)) | (~(((~v129(constB172, bitIndex2)) <=> v127(constB171, bitIndex2)) | ((~v129(constB172, bitIndex1)) <=> v127(constB171, bitIndex1)) | ((~v129(constB172, bitIndex0)) <=> v127(constB171, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB171, constB172)) | (~(((~v129(constB172, bitIndex2)) <=> v127(constB171, bitIndex2)) | ((~v129(constB172, bitIndex1)) <=> v127(constB171, bitIndex1)) | ((~v129(constB172, bitIndex0)) <=> v127(constB171, bitIndex0)))))),
% 7.88/5.82 inference(rewrite,[status(thm)],[])).
% 7.88/5.82 tff(15745,plain,
% 7.88/5.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB171, constB172)) | (~(((~v129(constB172, bitIndex2)) <=> v127(constB171, bitIndex2)) | ((~v129(constB172, bitIndex1)) <=> v127(constB171, bitIndex1)) | ((~v129(constB172, bitIndex0)) <=> v127(constB171, bitIndex0)))))),
% 7.88/5.82 inference(quant_inst,[status(thm)],[])).
% 7.88/5.82 tff(15746,plain,
% 7.88/5.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB171, constB172)) | (~(((~v129(constB172, bitIndex2)) <=> v127(constB171, bitIndex2)) | ((~v129(constB172, bitIndex1)) <=> v127(constB171, bitIndex1)) | ((~v129(constB172, bitIndex0)) <=> v127(constB171, bitIndex0))))),
% 7.88/5.82 inference(modus_ponens,[status(thm)],[15745, 15744])).
% 7.88/5.82 tff(15747,plain,
% 7.88/5.82 (~(((~v129(constB172, bitIndex2)) <=> v127(constB171, bitIndex2)) | ((~v129(constB172, bitIndex1)) <=> v127(constB171, bitIndex1)) | ((~v129(constB172, bitIndex0)) <=> v127(constB171, bitIndex0)))),
% 7.88/5.82 inference(unit_resolution,[status(thm)],[15746, 15743, 517])).
% 7.88/5.82 tff(15748,plain,
% 7.88/5.82 ((((~v129(constB172, bitIndex2)) <=> v127(constB171, bitIndex2)) | ((~v129(constB172, bitIndex1)) <=> v127(constB171, bitIndex1)) | ((~v129(constB172, bitIndex0)) <=> v127(constB171, bitIndex0))) | (~((~v129(constB172, bitIndex2)) <=> v127(constB171, bitIndex2)))),
% 7.88/5.82 inference(tautology,[status(thm)],[])).
% 7.88/5.82 tff(15749,plain,
% 7.88/5.82 (~((~v129(constB172, bitIndex2)) <=> v127(constB171, bitIndex2))),
% 7.88/5.82 inference(unit_resolution,[status(thm)],[15748, 15747])).
% 7.88/5.82 tff(15750,plain,
% 7.88/5.82 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB171) <=> v26(constB171))),
% 7.88/5.82 inference(quant_inst,[status(thm)],[])).
% 7.88/5.82 tff(15751,plain,
% 7.88/5.82 (v111(constB171) <=> v26(constB171)),
% 7.88/5.82 inference(unit_resolution,[status(thm)],[15750, 536])).
% 7.88/5.82 tff(15752,plain,
% 7.88/5.82 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB171))),
% 7.88/5.82 inference(quant_inst,[status(thm)],[])).
% 7.88/5.82 tff(15753,plain,
% 7.88/5.82 (~v26(constB171)),
% 7.88/5.82 inference(unit_resolution,[status(thm)],[15752, 548])).
% 7.88/5.82 tff(15754,plain,
% 7.88/5.82 ((~(v111(constB171) <=> v26(constB171))) | (~v111(constB171)) | v26(constB171)),
% 7.88/5.82 inference(tautology,[status(thm)],[])).
% 7.88/5.82 tff(15755,plain,
% 7.88/5.82 ((~(v111(constB171) <=> v26(constB171))) | (~v111(constB171))),
% 7.88/5.82 inference(unit_resolution,[status(thm)],[15754, 15753])).
% 7.88/5.82 tff(15756,plain,
% 7.88/5.82 (~v111(constB171)),
% 7.88/5.82 inference(unit_resolution,[status(thm)],[15755, 15751])).
% 7.88/5.82 tff(15757,plain,
% 7.88/5.82 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB171) | (~(((~v127(constB171, bitIndex2)) <=> v130(constB171, bitIndex2)) | ((~v127(constB171, bitIndex1)) <=> v130(constB171, bitIndex1)) | ((~v127(constB171, bitIndex0)) <=> v130(constB171, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB171) | (~(((~v127(constB171, bitIndex2)) <=> v130(constB171, bitIndex2)) | ((~v127(constB171, bitIndex1)) <=> v130(constB171, bitIndex1)) | ((~v127(constB171, bitIndex0)) <=> v130(constB171, bitIndex0)))))),
% 7.88/5.82 inference(rewrite,[status(thm)],[])).
% 7.88/5.82 tff(15758,plain,
% 7.88/5.82 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB171) | (~(((~v127(constB171, bitIndex2)) <=> v130(constB171, bitIndex2)) | ((~v127(constB171, bitIndex1)) <=> v130(constB171, bitIndex1)) | ((~v127(constB171, bitIndex0)) <=> v130(constB171, bitIndex0)))))),
% 7.88/5.82 inference(quant_inst,[status(thm)],[])).
% 7.88/5.82 tff(15759,plain,
% 7.88/5.82 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB171) | (~(((~v127(constB171, bitIndex2)) <=> v130(constB171, bitIndex2)) | ((~v127(constB171, bitIndex1)) <=> v130(constB171, bitIndex1)) | ((~v127(constB171, bitIndex0)) <=> v130(constB171, bitIndex0))))),
% 7.88/5.82 inference(modus_ponens,[status(thm)],[15758, 15757])).
% 7.88/5.82 tff(15760,plain,
% 7.88/5.82 (v111(constB171) | (~(((~v127(constB171, bitIndex2)) <=> v130(constB171, bitIndex2)) | ((~v127(constB171, bitIndex1)) <=> v130(constB171, bitIndex1)) | ((~v127(constB171, bitIndex0)) <=> v130(constB171, bitIndex0))))),
% 7.88/5.82 inference(unit_resolution,[status(thm)],[15759, 566])).
% 7.88/5.82 tff(15761,plain,
% 7.88/5.82 (~(((~v127(constB171, bitIndex2)) <=> v130(constB171, bitIndex2)) | ((~v127(constB171, bitIndex1)) <=> v130(constB171, bitIndex1)) | ((~v127(constB171, bitIndex0)) <=> v130(constB171, bitIndex0)))),
% 7.88/5.82 inference(unit_resolution,[status(thm)],[15760, 15756])).
% 7.88/5.82 tff(15762,plain,
% 7.88/5.82 ((((~v127(constB171, bitIndex2)) <=> v130(constB171, bitIndex2)) | ((~v127(constB171, bitIndex1)) <=> v130(constB171, bitIndex1)) | ((~v127(constB171, bitIndex0)) <=> v130(constB171, bitIndex0))) | (~((~v127(constB171, bitIndex2)) <=> v130(constB171, bitIndex2)))),
% 7.88/5.82 inference(tautology,[status(thm)],[])).
% 7.88/5.82 tff(15763,plain,
% 7.88/5.82 (~((~v127(constB171, bitIndex2)) <=> v130(constB171, bitIndex2))),
% 7.88/5.82 inference(unit_resolution,[status(thm)],[15762, 15761])).
% 7.88/5.82 tff(15764,plain,
% 7.88/5.82 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB171) <=> (~(v90(constB171, bitIndex2) | (~v90(constB171, bitIndex1)) | (~v90(constB171, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB171) <=> (~(v90(constB171, bitIndex2) | (~v90(constB171, bitIndex1)) | (~v90(constB171, bitIndex0))))))),
% 7.88/5.82 inference(rewrite,[status(thm)],[])).
% 7.88/5.82 tff(15765,plain,
% 7.88/5.82 ((v122(constB171) <=> (~(v90(constB171, bitIndex2) | (~v90(constB171, bitIndex0)) | (~v90(constB171, bitIndex1))))) <=> (v122(constB171) <=> (~(v90(constB171, bitIndex2) | (~v90(constB171, bitIndex1)) | (~v90(constB171, bitIndex0)))))),
% 7.88/5.82 inference(rewrite,[status(thm)],[])).
% 7.88/5.82 tff(15766,plain,
% 7.88/5.82 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB171) <=> (~(v90(constB171, bitIndex2) | (~v90(constB171, bitIndex0)) | (~v90(constB171, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB171) <=> (~(v90(constB171, bitIndex2) | (~v90(constB171, bitIndex1)) | (~v90(constB171, bitIndex0))))))),
% 7.88/5.82 inference(monotonicity,[status(thm)],[15765])).
% 7.88/5.82 tff(15767,plain,
% 7.88/5.82 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB171) <=> (~(v90(constB171, bitIndex2) | (~v90(constB171, bitIndex0)) | (~v90(constB171, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB171) <=> (~(v90(constB171, bitIndex2) | (~v90(constB171, bitIndex1)) | (~v90(constB171, bitIndex0))))))),
% 7.88/5.82 inference(transitivity,[status(thm)],[15766, 15764])).
% 7.88/5.82 tff(15768,plain,
% 7.88/5.82 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB171) <=> (~(v90(constB171, bitIndex2) | (~v90(constB171, bitIndex0)) | (~v90(constB171, bitIndex1)))))),
% 7.88/5.82 inference(quant_inst,[status(thm)],[])).
% 7.88/5.82 tff(15769,plain,
% 7.88/5.82 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB171) <=> (~(v90(constB171, bitIndex2) | (~v90(constB171, bitIndex1)) | (~v90(constB171, bitIndex0)))))),
% 7.88/5.82 inference(modus_ponens,[status(thm)],[15768, 15767])).
% 7.88/5.82 tff(15770,plain,
% 7.88/5.82 (v122(constB171) <=> (~(v90(constB171, bitIndex2) | (~v90(constB171, bitIndex1)) | (~v90(constB171, bitIndex0))))),
% 7.88/5.82 inference(unit_resolution,[status(thm)],[15769, 879])).
% 7.88/5.82 tff(15771,plain,
% 7.88/5.82 (nextState(constB170, constB171) <=> nextState(constB170, constB171)),
% 7.88/5.82 inference(rewrite,[status(thm)],[])).
% 7.88/5.82 tff(15772,axiom,(nextState(constB170, constB171)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_170')).
% 7.88/5.82 tff(15773,plain,
% 7.88/5.82 (nextState(constB170, constB171)),
% 7.88/5.82 inference(modus_ponens,[status(thm)],[15772, 15771])).
% 7.88/5.82 tff(15774,plain,
% 7.88/5.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB170, constB171)) | (v100(constB171) <=> (~((~v101(constB171)) | (~v110(constB171))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB170, constB171)) | (v100(constB171) <=> (~((~v101(constB171)) | (~v110(constB171))))))),
% 7.88/5.82 inference(rewrite,[status(thm)],[])).
% 7.88/5.82 tff(15775,plain,
% 7.88/5.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB170, constB171)) | (v100(constB171) <=> (~((~v101(constB171)) | (~v110(constB171))))))),
% 7.88/5.82 inference(quant_inst,[status(thm)],[])).
% 7.88/5.82 tff(15776,plain,
% 7.88/5.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB170, constB171)) | (v100(constB171) <=> (~((~v101(constB171)) | (~v110(constB171)))))),
% 7.88/5.82 inference(modus_ponens,[status(thm)],[15775, 15774])).
% 7.88/5.82 tff(15777,plain,
% 7.88/5.82 (v100(constB171) <=> (~((~v101(constB171)) | (~v110(constB171))))),
% 7.88/5.82 inference(unit_resolution,[status(thm)],[15776, 15773, 445])).
% 7.88/5.82 tff(15778,plain,
% 7.88/5.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB170, constB171)) | (v101(constB171) <=> (~((~v1(constB171)) | (~v102(constB171))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB170, constB171)) | (v101(constB171) <=> (~((~v1(constB171)) | (~v102(constB171))))))),
% 7.88/5.82 inference(rewrite,[status(thm)],[])).
% 7.88/5.82 tff(15779,plain,
% 7.88/5.82 (((~nextState(constB170, constB171)) | (v101(constB171) <=> (~((~v102(constB171)) | (~v1(constB171)))))) <=> ((~nextState(constB170, constB171)) | (v101(constB171) <=> (~((~v1(constB171)) | (~v102(constB171))))))),
% 7.88/5.82 inference(rewrite,[status(thm)],[])).
% 7.88/5.82 tff(15780,plain,
% 7.88/5.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB170, constB171)) | (v101(constB171) <=> (~((~v102(constB171)) | (~v1(constB171))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB170, constB171)) | (v101(constB171) <=> (~((~v1(constB171)) | (~v102(constB171)))))))),
% 7.88/5.82 inference(monotonicity,[status(thm)],[15779])).
% 7.88/5.82 tff(15781,plain,
% 7.88/5.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB170, constB171)) | (v101(constB171) <=> (~((~v102(constB171)) | (~v1(constB171))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB170, constB171)) | (v101(constB171) <=> (~((~v1(constB171)) | (~v102(constB171))))))),
% 7.88/5.82 inference(transitivity,[status(thm)],[15780, 15778])).
% 7.88/5.82 tff(15782,plain,
% 7.88/5.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB170, constB171)) | (v101(constB171) <=> (~((~v102(constB171)) | (~v1(constB171))))))),
% 7.88/5.82 inference(quant_inst,[status(thm)],[])).
% 7.88/5.82 tff(15783,plain,
% 7.88/5.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB170, constB171)) | (v101(constB171) <=> (~((~v1(constB171)) | (~v102(constB171)))))),
% 7.88/5.82 inference(modus_ponens,[status(thm)],[15782, 15781])).
% 7.88/5.82 tff(15784,plain,
% 7.88/5.82 (v101(constB171) <=> (~((~v1(constB171)) | (~v102(constB171))))),
% 7.88/5.82 inference(unit_resolution,[status(thm)],[15783, 15773, 465])).
% 7.88/5.82 tff(15785,plain,
% 7.88/5.82 ((~v1(constB171)) <=> (~v1(constB171))),
% 7.88/5.82 inference(rewrite,[status(thm)],[])).
% 7.88/5.82 tff(15786,axiom,(~v1(constB171)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_171')).
% 7.88/5.82 tff(15787,plain,
% 7.88/5.82 (~v1(constB171)),
% 7.88/5.82 inference(modus_ponens,[status(thm)],[15786, 15785])).
% 7.88/5.82 tff(15788,plain,
% 7.88/5.82 (((~v1(constB171)) | (~v102(constB171))) | v1(constB171)),
% 7.88/5.82 inference(tautology,[status(thm)],[])).
% 7.88/5.82 tff(15789,plain,
% 7.88/5.82 ((~v1(constB171)) | (~v102(constB171))),
% 7.88/5.82 inference(unit_resolution,[status(thm)],[15788, 15787])).
% 7.88/5.82 tff(15790,plain,
% 7.88/5.82 ((~(v101(constB171) <=> (~((~v1(constB171)) | (~v102(constB171)))))) | (~v101(constB171)) | (~((~v1(constB171)) | (~v102(constB171))))),
% 7.88/5.82 inference(tautology,[status(thm)],[])).
% 7.88/5.82 tff(15791,plain,
% 7.88/5.82 ((~(v101(constB171) <=> (~((~v1(constB171)) | (~v102(constB171)))))) | (~v101(constB171))),
% 7.88/5.82 inference(unit_resolution,[status(thm)],[15790, 15789])).
% 7.88/5.82 tff(15792,plain,
% 7.88/5.82 (~v101(constB171)),
% 7.88/5.82 inference(unit_resolution,[status(thm)],[15791, 15784])).
% 7.88/5.82 tff(15793,plain,
% 7.88/5.82 (((~v101(constB171)) | (~v110(constB171))) | v101(constB171)),
% 7.88/5.82 inference(tautology,[status(thm)],[])).
% 7.88/5.82 tff(15794,plain,
% 7.88/5.82 ((~v101(constB171)) | (~v110(constB171))),
% 7.88/5.82 inference(unit_resolution,[status(thm)],[15793, 15792])).
% 7.88/5.82 tff(15795,plain,
% 7.88/5.82 ((~(v100(constB171) <=> (~((~v101(constB171)) | (~v110(constB171)))))) | (~v100(constB171)) | (~((~v101(constB171)) | (~v110(constB171))))),
% 7.88/5.82 inference(tautology,[status(thm)],[])).
% 7.88/5.82 tff(15796,plain,
% 7.88/5.82 (~v100(constB171)),
% 7.88/5.82 inference(unit_resolution,[status(thm)],[15795, 15794, 15777])).
% 7.88/5.82 tff(15797,plain,
% 7.88/5.82 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB171) | (~nextState(constB170, constB171)) | (~(((~v90(constB171, bitIndex1)) <=> v90(constB170, bitIndex1)) | ((~v90(constB171, bitIndex2)) <=> v90(constB170, bitIndex2)) | ((~v90(constB171, bitIndex0)) <=> v90(constB170, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB171) | (~nextState(constB170, constB171)) | (~(((~v90(constB171, bitIndex1)) <=> v90(constB170, bitIndex1)) | ((~v90(constB171, bitIndex2)) <=> v90(constB170, bitIndex2)) | ((~v90(constB171, bitIndex0)) <=> v90(constB170, bitIndex0)))))),
% 7.88/5.82 inference(rewrite,[status(thm)],[])).
% 7.88/5.82 tff(15798,plain,
% 7.88/5.82 ((v100(constB171) | (~nextState(constB170, constB171)) | (~(((~v90(constB171, bitIndex2)) <=> v90(constB170, bitIndex2)) | ((~v90(constB171, bitIndex1)) <=> v90(constB170, bitIndex1)) | ((~v90(constB171, bitIndex0)) <=> v90(constB170, bitIndex0))))) <=> (v100(constB171) | (~nextState(constB170, constB171)) | (~(((~v90(constB171, bitIndex1)) <=> v90(constB170, bitIndex1)) | ((~v90(constB171, bitIndex2)) <=> v90(constB170, bitIndex2)) | ((~v90(constB171, bitIndex0)) <=> v90(constB170, bitIndex0)))))),
% 7.88/5.82 inference(rewrite,[status(thm)],[])).
% 7.88/5.82 tff(15799,plain,
% 7.88/5.82 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB171) | (~nextState(constB170, constB171)) | (~(((~v90(constB171, bitIndex2)) <=> v90(constB170, bitIndex2)) | ((~v90(constB171, bitIndex1)) <=> v90(constB170, bitIndex1)) | ((~v90(constB171, bitIndex0)) <=> v90(constB170, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB171) | (~nextState(constB170, constB171)) | (~(((~v90(constB171, bitIndex1)) <=> v90(constB170, bitIndex1)) | ((~v90(constB171, bitIndex2)) <=> v90(constB170, bitIndex2)) | ((~v90(constB171, bitIndex0)) <=> v90(constB170, bitIndex0))))))),
% 7.88/5.82 inference(monotonicity,[status(thm)],[15798])).
% 7.88/5.82 tff(15800,plain,
% 7.88/5.82 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB171) | (~nextState(constB170, constB171)) | (~(((~v90(constB171, bitIndex2)) <=> v90(constB170, bitIndex2)) | ((~v90(constB171, bitIndex1)) <=> v90(constB170, bitIndex1)) | ((~v90(constB171, bitIndex0)) <=> v90(constB170, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB171) | (~nextState(constB170, constB171)) | (~(((~v90(constB171, bitIndex1)) <=> v90(constB170, bitIndex1)) | ((~v90(constB171, bitIndex2)) <=> v90(constB170, bitIndex2)) | ((~v90(constB171, bitIndex0)) <=> v90(constB170, bitIndex0)))))),
% 7.88/5.82 inference(transitivity,[status(thm)],[15799, 15797])).
% 7.88/5.82 tff(15801,plain,
% 7.88/5.82 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB171) | (~nextState(constB170, constB171)) | (~(((~v90(constB171, bitIndex2)) <=> v90(constB170, bitIndex2)) | ((~v90(constB171, bitIndex1)) <=> v90(constB170, bitIndex1)) | ((~v90(constB171, bitIndex0)) <=> v90(constB170, bitIndex0)))))),
% 7.88/5.82 inference(quant_inst,[status(thm)],[])).
% 7.88/5.82 tff(15802,plain,
% 7.88/5.82 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB171) | (~nextState(constB170, constB171)) | (~(((~v90(constB171, bitIndex1)) <=> v90(constB170, bitIndex1)) | ((~v90(constB171, bitIndex2)) <=> v90(constB170, bitIndex2)) | ((~v90(constB171, bitIndex0)) <=> v90(constB170, bitIndex0))))),
% 7.88/5.82 inference(modus_ponens,[status(thm)],[15801, 15800])).
% 7.88/5.82 tff(15803,plain,
% 7.88/5.82 (v100(constB171) | (~(((~v90(constB171, bitIndex1)) <=> v90(constB170, bitIndex1)) | ((~v90(constB171, bitIndex2)) <=> v90(constB170, bitIndex2)) | ((~v90(constB171, bitIndex0)) <=> v90(constB170, bitIndex0))))),
% 7.88/5.82 inference(unit_resolution,[status(thm)],[15802, 15773, 494])).
% 7.88/5.82 tff(15804,plain,
% 7.88/5.82 (~(((~v90(constB171, bitIndex1)) <=> v90(constB170, bitIndex1)) | ((~v90(constB171, bitIndex2)) <=> v90(constB170, bitIndex2)) | ((~v90(constB171, bitIndex0)) <=> v90(constB170, bitIndex0)))),
% 7.88/5.82 inference(unit_resolution,[status(thm)],[15803, 15796])).
% 7.88/5.82 tff(15805,plain,
% 7.88/5.82 ((((~v90(constB171, bitIndex1)) <=> v90(constB170, bitIndex1)) | ((~v90(constB171, bitIndex2)) <=> v90(constB170, bitIndex2)) | ((~v90(constB171, bitIndex0)) <=> v90(constB170, bitIndex0))) | (~((~v90(constB171, bitIndex2)) <=> v90(constB170, bitIndex2)))),
% 7.88/5.82 inference(tautology,[status(thm)],[])).
% 7.88/5.82 tff(15806,plain,
% 7.88/5.82 (~((~v90(constB171, bitIndex2)) <=> v90(constB170, bitIndex2))),
% 7.88/5.82 inference(unit_resolution,[status(thm)],[15805, 15804])).
% 7.88/5.82 tff(15807,plain,
% 7.88/5.82 (nextState(constB169, constB170) <=> nextState(constB169, constB170)),
% 7.88/5.82 inference(rewrite,[status(thm)],[])).
% 7.88/5.82 tff(15808,axiom,(nextState(constB169, constB170)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_169')).
% 7.88/5.82 tff(15809,plain,
% 7.88/5.82 (nextState(constB169, constB170)),
% 7.88/5.82 inference(modus_ponens,[status(thm)],[15808, 15807])).
% 7.88/5.82 tff(15810,plain,
% 7.88/5.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB169, constB170)) | (~(((~v129(constB170, bitIndex2)) <=> v127(constB169, bitIndex2)) | ((~v129(constB170, bitIndex1)) <=> v127(constB169, bitIndex1)) | ((~v129(constB170, bitIndex0)) <=> v127(constB169, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB169, constB170)) | (~(((~v129(constB170, bitIndex2)) <=> v127(constB169, bitIndex2)) | ((~v129(constB170, bitIndex1)) <=> v127(constB169, bitIndex1)) | ((~v129(constB170, bitIndex0)) <=> v127(constB169, bitIndex0)))))),
% 7.88/5.82 inference(rewrite,[status(thm)],[])).
% 7.88/5.82 tff(15811,plain,
% 7.88/5.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB169, constB170)) | (~(((~v129(constB170, bitIndex2)) <=> v127(constB169, bitIndex2)) | ((~v129(constB170, bitIndex1)) <=> v127(constB169, bitIndex1)) | ((~v129(constB170, bitIndex0)) <=> v127(constB169, bitIndex0)))))),
% 7.88/5.82 inference(quant_inst,[status(thm)],[])).
% 7.88/5.82 tff(15812,plain,
% 7.88/5.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB169, constB170)) | (~(((~v129(constB170, bitIndex2)) <=> v127(constB169, bitIndex2)) | ((~v129(constB170, bitIndex1)) <=> v127(constB169, bitIndex1)) | ((~v129(constB170, bitIndex0)) <=> v127(constB169, bitIndex0))))),
% 7.88/5.82 inference(modus_ponens,[status(thm)],[15811, 15810])).
% 7.88/5.82 tff(15813,plain,
% 7.88/5.82 (~(((~v129(constB170, bitIndex2)) <=> v127(constB169, bitIndex2)) | ((~v129(constB170, bitIndex1)) <=> v127(constB169, bitIndex1)) | ((~v129(constB170, bitIndex0)) <=> v127(constB169, bitIndex0)))),
% 7.88/5.82 inference(unit_resolution,[status(thm)],[15812, 15809, 517])).
% 7.88/5.82 tff(15814,plain,
% 7.88/5.82 ((((~v129(constB170, bitIndex2)) <=> v127(constB169, bitIndex2)) | ((~v129(constB170, bitIndex1)) <=> v127(constB169, bitIndex1)) | ((~v129(constB170, bitIndex0)) <=> v127(constB169, bitIndex0))) | (~((~v129(constB170, bitIndex2)) <=> v127(constB169, bitIndex2)))),
% 7.88/5.82 inference(tautology,[status(thm)],[])).
% 7.88/5.82 tff(15815,plain,
% 7.88/5.82 (~((~v129(constB170, bitIndex2)) <=> v127(constB169, bitIndex2))),
% 7.88/5.82 inference(unit_resolution,[status(thm)],[15814, 15813])).
% 7.88/5.83 tff(15816,plain,
% 7.88/5.83 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB169) <=> v26(constB169))),
% 7.88/5.83 inference(quant_inst,[status(thm)],[])).
% 7.88/5.83 tff(15817,plain,
% 7.88/5.83 (v111(constB169) <=> v26(constB169)),
% 7.88/5.83 inference(unit_resolution,[status(thm)],[15816, 536])).
% 7.88/5.83 tff(15818,plain,
% 7.88/5.83 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB169))),
% 7.88/5.83 inference(quant_inst,[status(thm)],[])).
% 7.88/5.83 tff(15819,plain,
% 7.88/5.83 (~v26(constB169)),
% 7.88/5.83 inference(unit_resolution,[status(thm)],[15818, 548])).
% 7.88/5.83 tff(15820,plain,
% 7.88/5.83 ((~(v111(constB169) <=> v26(constB169))) | (~v111(constB169)) | v26(constB169)),
% 7.88/5.83 inference(tautology,[status(thm)],[])).
% 7.88/5.83 tff(15821,plain,
% 7.88/5.83 ((~(v111(constB169) <=> v26(constB169))) | (~v111(constB169))),
% 7.88/5.83 inference(unit_resolution,[status(thm)],[15820, 15819])).
% 7.88/5.83 tff(15822,plain,
% 7.88/5.83 (~v111(constB169)),
% 7.88/5.83 inference(unit_resolution,[status(thm)],[15821, 15817])).
% 7.88/5.83 tff(15823,plain,
% 7.88/5.83 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB169) | (~(((~v127(constB169, bitIndex2)) <=> v130(constB169, bitIndex2)) | ((~v127(constB169, bitIndex1)) <=> v130(constB169, bitIndex1)) | ((~v127(constB169, bitIndex0)) <=> v130(constB169, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB169) | (~(((~v127(constB169, bitIndex2)) <=> v130(constB169, bitIndex2)) | ((~v127(constB169, bitIndex1)) <=> v130(constB169, bitIndex1)) | ((~v127(constB169, bitIndex0)) <=> v130(constB169, bitIndex0)))))),
% 7.88/5.83 inference(rewrite,[status(thm)],[])).
% 7.88/5.83 tff(15824,plain,
% 7.88/5.83 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB169) | (~(((~v127(constB169, bitIndex2)) <=> v130(constB169, bitIndex2)) | ((~v127(constB169, bitIndex1)) <=> v130(constB169, bitIndex1)) | ((~v127(constB169, bitIndex0)) <=> v130(constB169, bitIndex0)))))),
% 7.88/5.83 inference(quant_inst,[status(thm)],[])).
% 7.88/5.83 tff(15825,plain,
% 7.88/5.83 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB169) | (~(((~v127(constB169, bitIndex2)) <=> v130(constB169, bitIndex2)) | ((~v127(constB169, bitIndex1)) <=> v130(constB169, bitIndex1)) | ((~v127(constB169, bitIndex0)) <=> v130(constB169, bitIndex0))))),
% 7.88/5.83 inference(modus_ponens,[status(thm)],[15824, 15823])).
% 7.88/5.83 tff(15826,plain,
% 7.88/5.83 (v111(constB169) | (~(((~v127(constB169, bitIndex2)) <=> v130(constB169, bitIndex2)) | ((~v127(constB169, bitIndex1)) <=> v130(constB169, bitIndex1)) | ((~v127(constB169, bitIndex0)) <=> v130(constB169, bitIndex0))))),
% 7.88/5.83 inference(unit_resolution,[status(thm)],[15825, 566])).
% 7.88/5.83 tff(15827,plain,
% 7.88/5.83 (~(((~v127(constB169, bitIndex2)) <=> v130(constB169, bitIndex2)) | ((~v127(constB169, bitIndex1)) <=> v130(constB169, bitIndex1)) | ((~v127(constB169, bitIndex0)) <=> v130(constB169, bitIndex0)))),
% 7.88/5.83 inference(unit_resolution,[status(thm)],[15826, 15822])).
% 7.88/5.83 tff(15828,plain,
% 7.88/5.83 ((((~v127(constB169, bitIndex2)) <=> v130(constB169, bitIndex2)) | ((~v127(constB169, bitIndex1)) <=> v130(constB169, bitIndex1)) | ((~v127(constB169, bitIndex0)) <=> v130(constB169, bitIndex0))) | (~((~v127(constB169, bitIndex2)) <=> v130(constB169, bitIndex2)))),
% 7.88/5.83 inference(tautology,[status(thm)],[])).
% 7.88/5.83 tff(15829,plain,
% 7.88/5.83 (~((~v127(constB169, bitIndex2)) <=> v130(constB169, bitIndex2))),
% 7.88/5.83 inference(unit_resolution,[status(thm)],[15828, 15827])).
% 7.88/5.83 tff(15830,plain,
% 7.88/5.83 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB169) <=> (~(v90(constB169, bitIndex2) | v90(constB169, bitIndex0) | (~v90(constB169, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB169) <=> (~(v90(constB169, bitIndex2) | v90(constB169, bitIndex0) | (~v90(constB169, bitIndex1))))))),
% 7.88/5.83 inference(rewrite,[status(thm)],[])).
% 7.88/5.83 tff(15831,plain,
% 7.88/5.83 ((v121(constB169) <=> (~(v90(constB169, bitIndex0) | v90(constB169, bitIndex2) | (~v90(constB169, bitIndex1))))) <=> (v121(constB169) <=> (~(v90(constB169, bitIndex2) | v90(constB169, bitIndex0) | (~v90(constB169, bitIndex1)))))),
% 7.88/5.83 inference(rewrite,[status(thm)],[])).
% 7.88/5.83 tff(15832,plain,
% 7.88/5.83 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB169) <=> (~(v90(constB169, bitIndex0) | v90(constB169, bitIndex2) | (~v90(constB169, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB169) <=> (~(v90(constB169, bitIndex2) | v90(constB169, bitIndex0) | (~v90(constB169, bitIndex1))))))),
% 7.88/5.83 inference(monotonicity,[status(thm)],[15831])).
% 7.88/5.83 tff(15833,plain,
% 7.88/5.83 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB169) <=> (~(v90(constB169, bitIndex0) | v90(constB169, bitIndex2) | (~v90(constB169, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB169) <=> (~(v90(constB169, bitIndex2) | v90(constB169, bitIndex0) | (~v90(constB169, bitIndex1))))))),
% 7.88/5.83 inference(transitivity,[status(thm)],[15832, 15830])).
% 7.88/5.83 tff(15834,plain,
% 7.88/5.83 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB169) <=> (~(v90(constB169, bitIndex0) | v90(constB169, bitIndex2) | (~v90(constB169, bitIndex1)))))),
% 7.88/5.83 inference(quant_inst,[status(thm)],[])).
% 7.88/5.83 tff(15835,plain,
% 7.88/5.83 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB169) <=> (~(v90(constB169, bitIndex2) | v90(constB169, bitIndex0) | (~v90(constB169, bitIndex1)))))),
% 7.88/5.83 inference(modus_ponens,[status(thm)],[15834, 15833])).
% 7.88/5.83 tff(15836,plain,
% 7.88/5.83 (v121(constB169) <=> (~(v90(constB169, bitIndex2) | v90(constB169, bitIndex0) | (~v90(constB169, bitIndex1))))),
% 7.88/5.83 inference(unit_resolution,[status(thm)],[15835, 586])).
% 7.88/5.83 tff(15837,plain,
% 7.88/5.83 (nextState(constB168, constB169) <=> nextState(constB168, constB169)),
% 7.88/5.83 inference(rewrite,[status(thm)],[])).
% 7.88/5.83 tff(15838,axiom,(nextState(constB168, constB169)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_168')).
% 7.88/5.83 tff(15839,plain,
% 7.88/5.83 (nextState(constB168, constB169)),
% 7.88/5.83 inference(modus_ponens,[status(thm)],[15838, 15837])).
% 7.88/5.83 tff(15840,plain,
% 7.88/5.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB168, constB169)) | (v100(constB169) <=> (~((~v101(constB169)) | (~v110(constB169))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB168, constB169)) | (v100(constB169) <=> (~((~v101(constB169)) | (~v110(constB169))))))),
% 7.88/5.83 inference(rewrite,[status(thm)],[])).
% 7.88/5.83 tff(15841,plain,
% 7.88/5.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB168, constB169)) | (v100(constB169) <=> (~((~v101(constB169)) | (~v110(constB169))))))),
% 7.88/5.83 inference(quant_inst,[status(thm)],[])).
% 7.88/5.83 tff(15842,plain,
% 7.88/5.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB168, constB169)) | (v100(constB169) <=> (~((~v101(constB169)) | (~v110(constB169)))))),
% 7.88/5.83 inference(modus_ponens,[status(thm)],[15841, 15840])).
% 7.88/5.83 tff(15843,plain,
% 7.88/5.83 (v100(constB169) <=> (~((~v101(constB169)) | (~v110(constB169))))),
% 7.88/5.83 inference(unit_resolution,[status(thm)],[15842, 15839, 445])).
% 7.88/5.83 tff(15844,plain,
% 7.88/5.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB168, constB169)) | (v101(constB169) <=> (~((~v1(constB169)) | (~v102(constB169))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB168, constB169)) | (v101(constB169) <=> (~((~v1(constB169)) | (~v102(constB169))))))),
% 7.88/5.83 inference(rewrite,[status(thm)],[])).
% 7.88/5.83 tff(15845,plain,
% 7.88/5.83 (((~nextState(constB168, constB169)) | (v101(constB169) <=> (~((~v102(constB169)) | (~v1(constB169)))))) <=> ((~nextState(constB168, constB169)) | (v101(constB169) <=> (~((~v1(constB169)) | (~v102(constB169))))))),
% 7.88/5.83 inference(rewrite,[status(thm)],[])).
% 7.88/5.83 tff(15846,plain,
% 7.88/5.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB168, constB169)) | (v101(constB169) <=> (~((~v102(constB169)) | (~v1(constB169))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB168, constB169)) | (v101(constB169) <=> (~((~v1(constB169)) | (~v102(constB169)))))))),
% 7.88/5.83 inference(monotonicity,[status(thm)],[15845])).
% 7.88/5.83 tff(15847,plain,
% 7.88/5.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB168, constB169)) | (v101(constB169) <=> (~((~v102(constB169)) | (~v1(constB169))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB168, constB169)) | (v101(constB169) <=> (~((~v1(constB169)) | (~v102(constB169))))))),
% 7.88/5.83 inference(transitivity,[status(thm)],[15846, 15844])).
% 7.88/5.83 tff(15848,plain,
% 7.88/5.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB168, constB169)) | (v101(constB169) <=> (~((~v102(constB169)) | (~v1(constB169))))))),
% 7.88/5.83 inference(quant_inst,[status(thm)],[])).
% 7.88/5.83 tff(15849,plain,
% 7.88/5.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB168, constB169)) | (v101(constB169) <=> (~((~v1(constB169)) | (~v102(constB169)))))),
% 7.88/5.83 inference(modus_ponens,[status(thm)],[15848, 15847])).
% 7.88/5.83 tff(15850,plain,
% 7.88/5.83 (v101(constB169) <=> (~((~v1(constB169)) | (~v102(constB169))))),
% 7.88/5.83 inference(unit_resolution,[status(thm)],[15849, 15839, 465])).
% 7.88/5.83 tff(15851,plain,
% 7.88/5.83 ((~v1(constB169)) <=> (~v1(constB169))),
% 7.88/5.83 inference(rewrite,[status(thm)],[])).
% 7.88/5.83 tff(15852,axiom,(~v1(constB169)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_169')).
% 7.88/5.83 tff(15853,plain,
% 7.88/5.83 (~v1(constB169)),
% 7.88/5.83 inference(modus_ponens,[status(thm)],[15852, 15851])).
% 7.88/5.83 tff(15854,plain,
% 7.88/5.83 (((~v1(constB169)) | (~v102(constB169))) | v1(constB169)),
% 7.88/5.83 inference(tautology,[status(thm)],[])).
% 7.88/5.83 tff(15855,plain,
% 7.88/5.83 ((~v1(constB169)) | (~v102(constB169))),
% 7.88/5.83 inference(unit_resolution,[status(thm)],[15854, 15853])).
% 7.88/5.83 tff(15856,plain,
% 7.88/5.83 ((~(v101(constB169) <=> (~((~v1(constB169)) | (~v102(constB169)))))) | (~v101(constB169)) | (~((~v1(constB169)) | (~v102(constB169))))),
% 7.88/5.83 inference(tautology,[status(thm)],[])).
% 7.88/5.83 tff(15857,plain,
% 7.88/5.83 ((~(v101(constB169) <=> (~((~v1(constB169)) | (~v102(constB169)))))) | (~v101(constB169))),
% 7.88/5.83 inference(unit_resolution,[status(thm)],[15856, 15855])).
% 7.88/5.83 tff(15858,plain,
% 7.88/5.83 (~v101(constB169)),
% 7.88/5.83 inference(unit_resolution,[status(thm)],[15857, 15850])).
% 7.88/5.83 tff(15859,plain,
% 7.88/5.83 (((~v101(constB169)) | (~v110(constB169))) | v101(constB169)),
% 7.88/5.83 inference(tautology,[status(thm)],[])).
% 7.88/5.83 tff(15860,plain,
% 7.88/5.83 ((~v101(constB169)) | (~v110(constB169))),
% 7.88/5.83 inference(unit_resolution,[status(thm)],[15859, 15858])).
% 7.88/5.83 tff(15861,plain,
% 7.88/5.83 ((~(v100(constB169) <=> (~((~v101(constB169)) | (~v110(constB169)))))) | (~v100(constB169)) | (~((~v101(constB169)) | (~v110(constB169))))),
% 7.88/5.83 inference(tautology,[status(thm)],[])).
% 7.88/5.83 tff(15862,plain,
% 7.88/5.83 (~v100(constB169)),
% 7.88/5.83 inference(unit_resolution,[status(thm)],[15861, 15860, 15843])).
% 7.88/5.83 tff(15863,plain,
% 7.88/5.83 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB169) | (~nextState(constB168, constB169)) | (~(((~v90(constB169, bitIndex1)) <=> v90(constB168, bitIndex1)) | ((~v90(constB169, bitIndex2)) <=> v90(constB168, bitIndex2)) | ((~v90(constB169, bitIndex0)) <=> v90(constB168, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB169) | (~nextState(constB168, constB169)) | (~(((~v90(constB169, bitIndex1)) <=> v90(constB168, bitIndex1)) | ((~v90(constB169, bitIndex2)) <=> v90(constB168, bitIndex2)) | ((~v90(constB169, bitIndex0)) <=> v90(constB168, bitIndex0)))))),
% 7.88/5.83 inference(rewrite,[status(thm)],[])).
% 7.88/5.83 tff(15864,plain,
% 7.88/5.83 ((v100(constB169) | (~nextState(constB168, constB169)) | (~(((~v90(constB169, bitIndex2)) <=> v90(constB168, bitIndex2)) | ((~v90(constB169, bitIndex1)) <=> v90(constB168, bitIndex1)) | ((~v90(constB169, bitIndex0)) <=> v90(constB168, bitIndex0))))) <=> (v100(constB169) | (~nextState(constB168, constB169)) | (~(((~v90(constB169, bitIndex1)) <=> v90(constB168, bitIndex1)) | ((~v90(constB169, bitIndex2)) <=> v90(constB168, bitIndex2)) | ((~v90(constB169, bitIndex0)) <=> v90(constB168, bitIndex0)))))),
% 7.88/5.83 inference(rewrite,[status(thm)],[])).
% 7.88/5.83 tff(15865,plain,
% 7.88/5.83 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB169) | (~nextState(constB168, constB169)) | (~(((~v90(constB169, bitIndex2)) <=> v90(constB168, bitIndex2)) | ((~v90(constB169, bitIndex1)) <=> v90(constB168, bitIndex1)) | ((~v90(constB169, bitIndex0)) <=> v90(constB168, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB169) | (~nextState(constB168, constB169)) | (~(((~v90(constB169, bitIndex1)) <=> v90(constB168, bitIndex1)) | ((~v90(constB169, bitIndex2)) <=> v90(constB168, bitIndex2)) | ((~v90(constB169, bitIndex0)) <=> v90(constB168, bitIndex0))))))),
% 7.88/5.83 inference(monotonicity,[status(thm)],[15864])).
% 7.88/5.83 tff(15866,plain,
% 7.88/5.83 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB169) | (~nextState(constB168, constB169)) | (~(((~v90(constB169, bitIndex2)) <=> v90(constB168, bitIndex2)) | ((~v90(constB169, bitIndex1)) <=> v90(constB168, bitIndex1)) | ((~v90(constB169, bitIndex0)) <=> v90(constB168, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB169) | (~nextState(constB168, constB169)) | (~(((~v90(constB169, bitIndex1)) <=> v90(constB168, bitIndex1)) | ((~v90(constB169, bitIndex2)) <=> v90(constB168, bitIndex2)) | ((~v90(constB169, bitIndex0)) <=> v90(constB168, bitIndex0)))))),
% 7.88/5.83 inference(transitivity,[status(thm)],[15865, 15863])).
% 7.88/5.83 tff(15867,plain,
% 7.88/5.83 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB169) | (~nextState(constB168, constB169)) | (~(((~v90(constB169, bitIndex2)) <=> v90(constB168, bitIndex2)) | ((~v90(constB169, bitIndex1)) <=> v90(constB168, bitIndex1)) | ((~v90(constB169, bitIndex0)) <=> v90(constB168, bitIndex0)))))),
% 7.88/5.83 inference(quant_inst,[status(thm)],[])).
% 7.88/5.83 tff(15868,plain,
% 7.88/5.83 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB169) | (~nextState(constB168, constB169)) | (~(((~v90(constB169, bitIndex1)) <=> v90(constB168, bitIndex1)) | ((~v90(constB169, bitIndex2)) <=> v90(constB168, bitIndex2)) | ((~v90(constB169, bitIndex0)) <=> v90(constB168, bitIndex0))))),
% 7.88/5.83 inference(modus_ponens,[status(thm)],[15867, 15866])).
% 7.88/5.83 tff(15869,plain,
% 7.88/5.83 (v100(constB169) | (~(((~v90(constB169, bitIndex1)) <=> v90(constB168, bitIndex1)) | ((~v90(constB169, bitIndex2)) <=> v90(constB168, bitIndex2)) | ((~v90(constB169, bitIndex0)) <=> v90(constB168, bitIndex0))))),
% 7.88/5.83 inference(unit_resolution,[status(thm)],[15868, 15839, 494])).
% 7.88/5.83 tff(15870,plain,
% 7.88/5.83 (~(((~v90(constB169, bitIndex1)) <=> v90(constB168, bitIndex1)) | ((~v90(constB169, bitIndex2)) <=> v90(constB168, bitIndex2)) | ((~v90(constB169, bitIndex0)) <=> v90(constB168, bitIndex0)))),
% 7.88/5.83 inference(unit_resolution,[status(thm)],[15869, 15862])).
% 7.88/5.83 tff(15871,plain,
% 7.88/5.83 ((((~v90(constB169, bitIndex1)) <=> v90(constB168, bitIndex1)) | ((~v90(constB169, bitIndex2)) <=> v90(constB168, bitIndex2)) | ((~v90(constB169, bitIndex0)) <=> v90(constB168, bitIndex0))) | (~((~v90(constB169, bitIndex2)) <=> v90(constB168, bitIndex2)))),
% 7.88/5.83 inference(tautology,[status(thm)],[])).
% 7.88/5.83 tff(15872,plain,
% 7.88/5.83 (~((~v90(constB169, bitIndex2)) <=> v90(constB168, bitIndex2))),
% 7.88/5.83 inference(unit_resolution,[status(thm)],[15871, 15870])).
% 7.88/5.83 tff(15873,plain,
% 7.88/5.83 (nextState(constB167, constB168) <=> nextState(constB167, constB168)),
% 7.88/5.83 inference(rewrite,[status(thm)],[])).
% 7.88/5.83 tff(15874,axiom,(nextState(constB167, constB168)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_167')).
% 7.88/5.83 tff(15875,plain,
% 7.88/5.83 (nextState(constB167, constB168)),
% 7.88/5.83 inference(modus_ponens,[status(thm)],[15874, 15873])).
% 7.88/5.83 tff(15876,plain,
% 7.88/5.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB167, constB168)) | (~(((~v129(constB168, bitIndex2)) <=> v127(constB167, bitIndex2)) | ((~v129(constB168, bitIndex1)) <=> v127(constB167, bitIndex1)) | ((~v129(constB168, bitIndex0)) <=> v127(constB167, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB167, constB168)) | (~(((~v129(constB168, bitIndex2)) <=> v127(constB167, bitIndex2)) | ((~v129(constB168, bitIndex1)) <=> v127(constB167, bitIndex1)) | ((~v129(constB168, bitIndex0)) <=> v127(constB167, bitIndex0)))))),
% 7.88/5.83 inference(rewrite,[status(thm)],[])).
% 7.88/5.83 tff(15877,plain,
% 7.88/5.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB167, constB168)) | (~(((~v129(constB168, bitIndex2)) <=> v127(constB167, bitIndex2)) | ((~v129(constB168, bitIndex1)) <=> v127(constB167, bitIndex1)) | ((~v129(constB168, bitIndex0)) <=> v127(constB167, bitIndex0)))))),
% 7.88/5.83 inference(quant_inst,[status(thm)],[])).
% 7.88/5.83 tff(15878,plain,
% 7.88/5.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB167, constB168)) | (~(((~v129(constB168, bitIndex2)) <=> v127(constB167, bitIndex2)) | ((~v129(constB168, bitIndex1)) <=> v127(constB167, bitIndex1)) | ((~v129(constB168, bitIndex0)) <=> v127(constB167, bitIndex0))))),
% 7.88/5.83 inference(modus_ponens,[status(thm)],[15877, 15876])).
% 7.88/5.83 tff(15879,plain,
% 7.88/5.83 (~(((~v129(constB168, bitIndex2)) <=> v127(constB167, bitIndex2)) | ((~v129(constB168, bitIndex1)) <=> v127(constB167, bitIndex1)) | ((~v129(constB168, bitIndex0)) <=> v127(constB167, bitIndex0)))),
% 7.88/5.83 inference(unit_resolution,[status(thm)],[15878, 15875, 517])).
% 7.88/5.83 tff(15880,plain,
% 7.88/5.83 ((((~v129(constB168, bitIndex2)) <=> v127(constB167, bitIndex2)) | ((~v129(constB168, bitIndex1)) <=> v127(constB167, bitIndex1)) | ((~v129(constB168, bitIndex0)) <=> v127(constB167, bitIndex0))) | (~((~v129(constB168, bitIndex2)) <=> v127(constB167, bitIndex2)))),
% 7.88/5.83 inference(tautology,[status(thm)],[])).
% 7.88/5.83 tff(15881,plain,
% 7.88/5.83 (~((~v129(constB168, bitIndex2)) <=> v127(constB167, bitIndex2))),
% 7.88/5.83 inference(unit_resolution,[status(thm)],[15880, 15879])).
% 7.88/5.83 tff(15882,plain,
% 7.88/5.83 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB167) <=> v26(constB167))),
% 7.88/5.83 inference(quant_inst,[status(thm)],[])).
% 7.88/5.83 tff(15883,plain,
% 7.88/5.83 (v111(constB167) <=> v26(constB167)),
% 7.88/5.83 inference(unit_resolution,[status(thm)],[15882, 536])).
% 7.88/5.83 tff(15884,plain,
% 7.88/5.83 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB167))),
% 7.88/5.83 inference(quant_inst,[status(thm)],[])).
% 7.88/5.83 tff(15885,plain,
% 7.88/5.83 (~v26(constB167)),
% 7.88/5.83 inference(unit_resolution,[status(thm)],[15884, 548])).
% 7.88/5.83 tff(15886,plain,
% 7.88/5.83 ((~(v111(constB167) <=> v26(constB167))) | (~v111(constB167)) | v26(constB167)),
% 7.88/5.83 inference(tautology,[status(thm)],[])).
% 7.88/5.83 tff(15887,plain,
% 7.88/5.83 ((~(v111(constB167) <=> v26(constB167))) | (~v111(constB167))),
% 7.88/5.83 inference(unit_resolution,[status(thm)],[15886, 15885])).
% 7.88/5.83 tff(15888,plain,
% 7.88/5.83 (~v111(constB167)),
% 7.88/5.83 inference(unit_resolution,[status(thm)],[15887, 15883])).
% 7.88/5.83 tff(15889,plain,
% 7.88/5.83 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB167) | (~(((~v127(constB167, bitIndex2)) <=> v130(constB167, bitIndex2)) | ((~v127(constB167, bitIndex1)) <=> v130(constB167, bitIndex1)) | ((~v127(constB167, bitIndex0)) <=> v130(constB167, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB167) | (~(((~v127(constB167, bitIndex2)) <=> v130(constB167, bitIndex2)) | ((~v127(constB167, bitIndex1)) <=> v130(constB167, bitIndex1)) | ((~v127(constB167, bitIndex0)) <=> v130(constB167, bitIndex0)))))),
% 7.88/5.83 inference(rewrite,[status(thm)],[])).
% 7.88/5.83 tff(15890,plain,
% 7.88/5.83 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB167) | (~(((~v127(constB167, bitIndex2)) <=> v130(constB167, bitIndex2)) | ((~v127(constB167, bitIndex1)) <=> v130(constB167, bitIndex1)) | ((~v127(constB167, bitIndex0)) <=> v130(constB167, bitIndex0)))))),
% 7.88/5.83 inference(quant_inst,[status(thm)],[])).
% 7.88/5.83 tff(15891,plain,
% 7.88/5.83 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB167) | (~(((~v127(constB167, bitIndex2)) <=> v130(constB167, bitIndex2)) | ((~v127(constB167, bitIndex1)) <=> v130(constB167, bitIndex1)) | ((~v127(constB167, bitIndex0)) <=> v130(constB167, bitIndex0))))),
% 7.88/5.83 inference(modus_ponens,[status(thm)],[15890, 15889])).
% 7.88/5.83 tff(15892,plain,
% 7.88/5.83 (v111(constB167) | (~(((~v127(constB167, bitIndex2)) <=> v130(constB167, bitIndex2)) | ((~v127(constB167, bitIndex1)) <=> v130(constB167, bitIndex1)) | ((~v127(constB167, bitIndex0)) <=> v130(constB167, bitIndex0))))),
% 7.88/5.83 inference(unit_resolution,[status(thm)],[15891, 566])).
% 7.88/5.83 tff(15893,plain,
% 7.88/5.83 (~(((~v127(constB167, bitIndex2)) <=> v130(constB167, bitIndex2)) | ((~v127(constB167, bitIndex1)) <=> v130(constB167, bitIndex1)) | ((~v127(constB167, bitIndex0)) <=> v130(constB167, bitIndex0)))),
% 7.88/5.83 inference(unit_resolution,[status(thm)],[15892, 15888])).
% 7.88/5.83 tff(15894,plain,
% 7.88/5.83 ((((~v127(constB167, bitIndex2)) <=> v130(constB167, bitIndex2)) | ((~v127(constB167, bitIndex1)) <=> v130(constB167, bitIndex1)) | ((~v127(constB167, bitIndex0)) <=> v130(constB167, bitIndex0))) | (~((~v127(constB167, bitIndex2)) <=> v130(constB167, bitIndex2)))),
% 7.88/5.83 inference(tautology,[status(thm)],[])).
% 7.88/5.83 tff(15895,plain,
% 7.88/5.83 (~((~v127(constB167, bitIndex2)) <=> v130(constB167, bitIndex2))),
% 7.88/5.83 inference(unit_resolution,[status(thm)],[15894, 15893])).
% 7.88/5.83 tff(15896,plain,
% 7.88/5.83 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB167) <=> (~(v90(constB167, bitIndex1) | v90(constB167, bitIndex2) | (~v90(constB167, bitIndex0)))))),
% 7.88/5.83 inference(quant_inst,[status(thm)],[])).
% 7.88/5.83 tff(15897,plain,
% 7.88/5.83 (v120(constB167) <=> (~(v90(constB167, bitIndex1) | v90(constB167, bitIndex2) | (~v90(constB167, bitIndex0))))),
% 7.88/5.83 inference(unit_resolution,[status(thm)],[15896, 665])).
% 7.88/5.83 tff(15898,plain,
% 7.88/5.83 (nextState(constB166, constB167) <=> nextState(constB166, constB167)),
% 7.88/5.83 inference(rewrite,[status(thm)],[])).
% 7.88/5.83 tff(15899,axiom,(nextState(constB166, constB167)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_166')).
% 7.88/5.83 tff(15900,plain,
% 7.88/5.83 (nextState(constB166, constB167)),
% 7.88/5.83 inference(modus_ponens,[status(thm)],[15899, 15898])).
% 7.88/5.83 tff(15901,plain,
% 7.88/5.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB166, constB167)) | (v100(constB167) <=> (~((~v101(constB167)) | (~v110(constB167))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB166, constB167)) | (v100(constB167) <=> (~((~v101(constB167)) | (~v110(constB167))))))),
% 7.88/5.83 inference(rewrite,[status(thm)],[])).
% 7.88/5.83 tff(15902,plain,
% 7.88/5.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB166, constB167)) | (v100(constB167) <=> (~((~v101(constB167)) | (~v110(constB167))))))),
% 7.88/5.83 inference(quant_inst,[status(thm)],[])).
% 7.88/5.83 tff(15903,plain,
% 7.88/5.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB166, constB167)) | (v100(constB167) <=> (~((~v101(constB167)) | (~v110(constB167)))))),
% 7.88/5.83 inference(modus_ponens,[status(thm)],[15902, 15901])).
% 7.88/5.83 tff(15904,plain,
% 7.88/5.83 (v100(constB167) <=> (~((~v101(constB167)) | (~v110(constB167))))),
% 7.88/5.83 inference(unit_resolution,[status(thm)],[15903, 15900, 445])).
% 7.88/5.83 tff(15905,plain,
% 7.88/5.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB166, constB167)) | (v101(constB167) <=> (~((~v1(constB167)) | (~v102(constB167))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB166, constB167)) | (v101(constB167) <=> (~((~v1(constB167)) | (~v102(constB167))))))),
% 7.88/5.84 inference(rewrite,[status(thm)],[])).
% 7.88/5.84 tff(15906,plain,
% 7.88/5.84 (((~nextState(constB166, constB167)) | (v101(constB167) <=> (~((~v102(constB167)) | (~v1(constB167)))))) <=> ((~nextState(constB166, constB167)) | (v101(constB167) <=> (~((~v1(constB167)) | (~v102(constB167))))))),
% 7.88/5.84 inference(rewrite,[status(thm)],[])).
% 7.88/5.84 tff(15907,plain,
% 7.88/5.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB166, constB167)) | (v101(constB167) <=> (~((~v102(constB167)) | (~v1(constB167))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB166, constB167)) | (v101(constB167) <=> (~((~v1(constB167)) | (~v102(constB167)))))))),
% 7.88/5.84 inference(monotonicity,[status(thm)],[15906])).
% 7.88/5.84 tff(15908,plain,
% 7.88/5.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB166, constB167)) | (v101(constB167) <=> (~((~v102(constB167)) | (~v1(constB167))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB166, constB167)) | (v101(constB167) <=> (~((~v1(constB167)) | (~v102(constB167))))))),
% 7.88/5.84 inference(transitivity,[status(thm)],[15907, 15905])).
% 7.88/5.84 tff(15909,plain,
% 7.88/5.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB166, constB167)) | (v101(constB167) <=> (~((~v102(constB167)) | (~v1(constB167))))))),
% 7.88/5.84 inference(quant_inst,[status(thm)],[])).
% 7.88/5.84 tff(15910,plain,
% 7.88/5.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB166, constB167)) | (v101(constB167) <=> (~((~v1(constB167)) | (~v102(constB167)))))),
% 7.88/5.84 inference(modus_ponens,[status(thm)],[15909, 15908])).
% 7.88/5.84 tff(15911,plain,
% 7.88/5.84 (v101(constB167) <=> (~((~v1(constB167)) | (~v102(constB167))))),
% 7.88/5.84 inference(unit_resolution,[status(thm)],[15910, 15900, 465])).
% 7.88/5.84 tff(15912,plain,
% 7.88/5.84 ((~v1(constB167)) <=> (~v1(constB167))),
% 7.88/5.84 inference(rewrite,[status(thm)],[])).
% 7.88/5.84 tff(15913,axiom,(~v1(constB167)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_167')).
% 7.88/5.84 tff(15914,plain,
% 7.88/5.84 (~v1(constB167)),
% 7.88/5.84 inference(modus_ponens,[status(thm)],[15913, 15912])).
% 7.88/5.84 tff(15915,plain,
% 7.88/5.84 (((~v1(constB167)) | (~v102(constB167))) | v1(constB167)),
% 7.88/5.84 inference(tautology,[status(thm)],[])).
% 7.88/5.84 tff(15916,plain,
% 7.88/5.84 ((~v1(constB167)) | (~v102(constB167))),
% 7.88/5.84 inference(unit_resolution,[status(thm)],[15915, 15914])).
% 7.88/5.84 tff(15917,plain,
% 7.88/5.84 ((~(v101(constB167) <=> (~((~v1(constB167)) | (~v102(constB167)))))) | (~v101(constB167)) | (~((~v1(constB167)) | (~v102(constB167))))),
% 7.88/5.84 inference(tautology,[status(thm)],[])).
% 7.88/5.84 tff(15918,plain,
% 7.88/5.84 ((~(v101(constB167) <=> (~((~v1(constB167)) | (~v102(constB167)))))) | (~v101(constB167))),
% 7.88/5.84 inference(unit_resolution,[status(thm)],[15917, 15916])).
% 7.88/5.84 tff(15919,plain,
% 7.88/5.84 (~v101(constB167)),
% 7.88/5.84 inference(unit_resolution,[status(thm)],[15918, 15911])).
% 7.88/5.84 tff(15920,plain,
% 7.88/5.84 (((~v101(constB167)) | (~v110(constB167))) | v101(constB167)),
% 7.88/5.84 inference(tautology,[status(thm)],[])).
% 7.88/5.84 tff(15921,plain,
% 7.88/5.84 ((~v101(constB167)) | (~v110(constB167))),
% 7.88/5.84 inference(unit_resolution,[status(thm)],[15920, 15919])).
% 7.88/5.84 tff(15922,plain,
% 7.88/5.84 ((~(v100(constB167) <=> (~((~v101(constB167)) | (~v110(constB167)))))) | (~v100(constB167)) | (~((~v101(constB167)) | (~v110(constB167))))),
% 7.88/5.84 inference(tautology,[status(thm)],[])).
% 7.88/5.84 tff(15923,plain,
% 7.88/5.84 (~v100(constB167)),
% 7.88/5.84 inference(unit_resolution,[status(thm)],[15922, 15921, 15904])).
% 7.88/5.84 tff(15924,plain,
% 7.88/5.84 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB167) | (~nextState(constB166, constB167)) | (~(((~v90(constB167, bitIndex1)) <=> v90(constB166, bitIndex1)) | ((~v90(constB167, bitIndex2)) <=> v90(constB166, bitIndex2)) | ((~v90(constB167, bitIndex0)) <=> v90(constB166, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB167) | (~nextState(constB166, constB167)) | (~(((~v90(constB167, bitIndex1)) <=> v90(constB166, bitIndex1)) | ((~v90(constB167, bitIndex2)) <=> v90(constB166, bitIndex2)) | ((~v90(constB167, bitIndex0)) <=> v90(constB166, bitIndex0)))))),
% 7.88/5.84 inference(rewrite,[status(thm)],[])).
% 7.88/5.84 tff(15925,plain,
% 7.88/5.84 ((v100(constB167) | (~nextState(constB166, constB167)) | (~(((~v90(constB167, bitIndex2)) <=> v90(constB166, bitIndex2)) | ((~v90(constB167, bitIndex1)) <=> v90(constB166, bitIndex1)) | ((~v90(constB167, bitIndex0)) <=> v90(constB166, bitIndex0))))) <=> (v100(constB167) | (~nextState(constB166, constB167)) | (~(((~v90(constB167, bitIndex1)) <=> v90(constB166, bitIndex1)) | ((~v90(constB167, bitIndex2)) <=> v90(constB166, bitIndex2)) | ((~v90(constB167, bitIndex0)) <=> v90(constB166, bitIndex0)))))),
% 7.88/5.84 inference(rewrite,[status(thm)],[])).
% 7.88/5.84 tff(15926,plain,
% 7.88/5.84 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB167) | (~nextState(constB166, constB167)) | (~(((~v90(constB167, bitIndex2)) <=> v90(constB166, bitIndex2)) | ((~v90(constB167, bitIndex1)) <=> v90(constB166, bitIndex1)) | ((~v90(constB167, bitIndex0)) <=> v90(constB166, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB167) | (~nextState(constB166, constB167)) | (~(((~v90(constB167, bitIndex1)) <=> v90(constB166, bitIndex1)) | ((~v90(constB167, bitIndex2)) <=> v90(constB166, bitIndex2)) | ((~v90(constB167, bitIndex0)) <=> v90(constB166, bitIndex0))))))),
% 7.88/5.84 inference(monotonicity,[status(thm)],[15925])).
% 7.88/5.84 tff(15927,plain,
% 7.88/5.84 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB167) | (~nextState(constB166, constB167)) | (~(((~v90(constB167, bitIndex2)) <=> v90(constB166, bitIndex2)) | ((~v90(constB167, bitIndex1)) <=> v90(constB166, bitIndex1)) | ((~v90(constB167, bitIndex0)) <=> v90(constB166, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB167) | (~nextState(constB166, constB167)) | (~(((~v90(constB167, bitIndex1)) <=> v90(constB166, bitIndex1)) | ((~v90(constB167, bitIndex2)) <=> v90(constB166, bitIndex2)) | ((~v90(constB167, bitIndex0)) <=> v90(constB166, bitIndex0)))))),
% 7.88/5.84 inference(transitivity,[status(thm)],[15926, 15924])).
% 7.88/5.84 tff(15928,plain,
% 7.88/5.84 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB167) | (~nextState(constB166, constB167)) | (~(((~v90(constB167, bitIndex2)) <=> v90(constB166, bitIndex2)) | ((~v90(constB167, bitIndex1)) <=> v90(constB166, bitIndex1)) | ((~v90(constB167, bitIndex0)) <=> v90(constB166, bitIndex0)))))),
% 7.88/5.84 inference(quant_inst,[status(thm)],[])).
% 7.88/5.84 tff(15929,plain,
% 7.88/5.84 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB167) | (~nextState(constB166, constB167)) | (~(((~v90(constB167, bitIndex1)) <=> v90(constB166, bitIndex1)) | ((~v90(constB167, bitIndex2)) <=> v90(constB166, bitIndex2)) | ((~v90(constB167, bitIndex0)) <=> v90(constB166, bitIndex0))))),
% 7.88/5.84 inference(modus_ponens,[status(thm)],[15928, 15927])).
% 7.88/5.84 tff(15930,plain,
% 7.88/5.84 (v100(constB167) | (~(((~v90(constB167, bitIndex1)) <=> v90(constB166, bitIndex1)) | ((~v90(constB167, bitIndex2)) <=> v90(constB166, bitIndex2)) | ((~v90(constB167, bitIndex0)) <=> v90(constB166, bitIndex0))))),
% 7.88/5.84 inference(unit_resolution,[status(thm)],[15929, 15900, 494])).
% 7.88/5.84 tff(15931,plain,
% 7.88/5.84 (~(((~v90(constB167, bitIndex1)) <=> v90(constB166, bitIndex1)) | ((~v90(constB167, bitIndex2)) <=> v90(constB166, bitIndex2)) | ((~v90(constB167, bitIndex0)) <=> v90(constB166, bitIndex0)))),
% 7.88/5.84 inference(unit_resolution,[status(thm)],[15930, 15923])).
% 7.88/5.84 tff(15932,plain,
% 7.88/5.84 ((((~v90(constB167, bitIndex1)) <=> v90(constB166, bitIndex1)) | ((~v90(constB167, bitIndex2)) <=> v90(constB166, bitIndex2)) | ((~v90(constB167, bitIndex0)) <=> v90(constB166, bitIndex0))) | (~((~v90(constB167, bitIndex2)) <=> v90(constB166, bitIndex2)))),
% 7.88/5.84 inference(tautology,[status(thm)],[])).
% 7.88/5.84 tff(15933,plain,
% 7.88/5.84 (~((~v90(constB167, bitIndex2)) <=> v90(constB166, bitIndex2))),
% 7.88/5.84 inference(unit_resolution,[status(thm)],[15932, 15931])).
% 7.88/5.84 tff(15934,plain,
% 7.88/5.84 (nextState(constB165, constB166) <=> nextState(constB165, constB166)),
% 7.88/5.84 inference(rewrite,[status(thm)],[])).
% 7.88/5.84 tff(15935,axiom,(nextState(constB165, constB166)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_165')).
% 7.88/5.84 tff(15936,plain,
% 7.88/5.84 (nextState(constB165, constB166)),
% 7.88/5.84 inference(modus_ponens,[status(thm)],[15935, 15934])).
% 7.88/5.84 tff(15937,plain,
% 7.88/5.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB165, constB166)) | (~(((~v129(constB166, bitIndex2)) <=> v127(constB165, bitIndex2)) | ((~v129(constB166, bitIndex1)) <=> v127(constB165, bitIndex1)) | ((~v129(constB166, bitIndex0)) <=> v127(constB165, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB165, constB166)) | (~(((~v129(constB166, bitIndex2)) <=> v127(constB165, bitIndex2)) | ((~v129(constB166, bitIndex1)) <=> v127(constB165, bitIndex1)) | ((~v129(constB166, bitIndex0)) <=> v127(constB165, bitIndex0)))))),
% 7.88/5.84 inference(rewrite,[status(thm)],[])).
% 7.88/5.84 tff(15938,plain,
% 7.88/5.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB165, constB166)) | (~(((~v129(constB166, bitIndex2)) <=> v127(constB165, bitIndex2)) | ((~v129(constB166, bitIndex1)) <=> v127(constB165, bitIndex1)) | ((~v129(constB166, bitIndex0)) <=> v127(constB165, bitIndex0)))))),
% 7.88/5.84 inference(quant_inst,[status(thm)],[])).
% 7.88/5.84 tff(15939,plain,
% 7.88/5.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB165, constB166)) | (~(((~v129(constB166, bitIndex2)) <=> v127(constB165, bitIndex2)) | ((~v129(constB166, bitIndex1)) <=> v127(constB165, bitIndex1)) | ((~v129(constB166, bitIndex0)) <=> v127(constB165, bitIndex0))))),
% 7.88/5.84 inference(modus_ponens,[status(thm)],[15938, 15937])).
% 7.88/5.84 tff(15940,plain,
% 7.88/5.84 (~(((~v129(constB166, bitIndex2)) <=> v127(constB165, bitIndex2)) | ((~v129(constB166, bitIndex1)) <=> v127(constB165, bitIndex1)) | ((~v129(constB166, bitIndex0)) <=> v127(constB165, bitIndex0)))),
% 7.88/5.84 inference(unit_resolution,[status(thm)],[15939, 15936, 517])).
% 7.88/5.84 tff(15941,plain,
% 7.88/5.84 ((((~v129(constB166, bitIndex2)) <=> v127(constB165, bitIndex2)) | ((~v129(constB166, bitIndex1)) <=> v127(constB165, bitIndex1)) | ((~v129(constB166, bitIndex0)) <=> v127(constB165, bitIndex0))) | (~((~v129(constB166, bitIndex2)) <=> v127(constB165, bitIndex2)))),
% 7.88/5.84 inference(tautology,[status(thm)],[])).
% 7.88/5.84 tff(15942,plain,
% 7.88/5.84 (~((~v129(constB166, bitIndex2)) <=> v127(constB165, bitIndex2))),
% 7.88/5.84 inference(unit_resolution,[status(thm)],[15941, 15940])).
% 7.88/5.84 tff(15943,plain,
% 7.88/5.84 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB165) <=> v26(constB165))),
% 7.88/5.84 inference(quant_inst,[status(thm)],[])).
% 7.88/5.84 tff(15944,plain,
% 7.88/5.84 (v111(constB165) <=> v26(constB165)),
% 7.88/5.84 inference(unit_resolution,[status(thm)],[15943, 536])).
% 7.88/5.84 tff(15945,plain,
% 7.88/5.84 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB165))),
% 7.88/5.84 inference(quant_inst,[status(thm)],[])).
% 7.88/5.84 tff(15946,plain,
% 7.88/5.84 (~v26(constB165)),
% 7.88/5.84 inference(unit_resolution,[status(thm)],[15945, 548])).
% 7.88/5.84 tff(15947,plain,
% 7.88/5.84 ((~(v111(constB165) <=> v26(constB165))) | (~v111(constB165)) | v26(constB165)),
% 7.88/5.84 inference(tautology,[status(thm)],[])).
% 7.88/5.84 tff(15948,plain,
% 7.88/5.84 ((~(v111(constB165) <=> v26(constB165))) | (~v111(constB165))),
% 7.88/5.84 inference(unit_resolution,[status(thm)],[15947, 15946])).
% 7.88/5.84 tff(15949,plain,
% 7.88/5.84 (~v111(constB165)),
% 7.88/5.84 inference(unit_resolution,[status(thm)],[15948, 15944])).
% 7.88/5.84 tff(15950,plain,
% 7.88/5.84 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB165) | (~(((~v127(constB165, bitIndex2)) <=> v130(constB165, bitIndex2)) | ((~v127(constB165, bitIndex1)) <=> v130(constB165, bitIndex1)) | ((~v127(constB165, bitIndex0)) <=> v130(constB165, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB165) | (~(((~v127(constB165, bitIndex2)) <=> v130(constB165, bitIndex2)) | ((~v127(constB165, bitIndex1)) <=> v130(constB165, bitIndex1)) | ((~v127(constB165, bitIndex0)) <=> v130(constB165, bitIndex0)))))),
% 7.88/5.84 inference(rewrite,[status(thm)],[])).
% 7.88/5.84 tff(15951,plain,
% 7.88/5.84 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB165) | (~(((~v127(constB165, bitIndex2)) <=> v130(constB165, bitIndex2)) | ((~v127(constB165, bitIndex1)) <=> v130(constB165, bitIndex1)) | ((~v127(constB165, bitIndex0)) <=> v130(constB165, bitIndex0)))))),
% 7.88/5.84 inference(quant_inst,[status(thm)],[])).
% 7.88/5.84 tff(15952,plain,
% 7.88/5.84 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB165) | (~(((~v127(constB165, bitIndex2)) <=> v130(constB165, bitIndex2)) | ((~v127(constB165, bitIndex1)) <=> v130(constB165, bitIndex1)) | ((~v127(constB165, bitIndex0)) <=> v130(constB165, bitIndex0))))),
% 7.88/5.84 inference(modus_ponens,[status(thm)],[15951, 15950])).
% 7.88/5.84 tff(15953,plain,
% 7.88/5.84 (v111(constB165) | (~(((~v127(constB165, bitIndex2)) <=> v130(constB165, bitIndex2)) | ((~v127(constB165, bitIndex1)) <=> v130(constB165, bitIndex1)) | ((~v127(constB165, bitIndex0)) <=> v130(constB165, bitIndex0))))),
% 7.88/5.84 inference(unit_resolution,[status(thm)],[15952, 566])).
% 7.88/5.84 tff(15954,plain,
% 7.88/5.84 (~(((~v127(constB165, bitIndex2)) <=> v130(constB165, bitIndex2)) | ((~v127(constB165, bitIndex1)) <=> v130(constB165, bitIndex1)) | ((~v127(constB165, bitIndex0)) <=> v130(constB165, bitIndex0)))),
% 7.88/5.84 inference(unit_resolution,[status(thm)],[15953, 15949])).
% 7.88/5.84 tff(15955,plain,
% 7.88/5.84 ((((~v127(constB165, bitIndex2)) <=> v130(constB165, bitIndex2)) | ((~v127(constB165, bitIndex1)) <=> v130(constB165, bitIndex1)) | ((~v127(constB165, bitIndex0)) <=> v130(constB165, bitIndex0))) | (~((~v127(constB165, bitIndex2)) <=> v130(constB165, bitIndex2)))),
% 7.88/5.84 inference(tautology,[status(thm)],[])).
% 7.88/5.84 tff(15956,plain,
% 7.88/5.84 (~((~v127(constB165, bitIndex2)) <=> v130(constB165, bitIndex2))),
% 7.88/5.84 inference(unit_resolution,[status(thm)],[15955, 15954])).
% 7.88/5.84 tff(15957,plain,
% 7.88/5.84 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB165) <=> (~(v90(constB165, bitIndex0) | v90(constB165, bitIndex1) | v90(constB165, bitIndex2))))),
% 7.88/5.84 inference(quant_inst,[status(thm)],[])).
% 7.88/5.84 tff(15958,plain,
% 7.88/5.84 (v119(constB165) <=> (~(v90(constB165, bitIndex0) | v90(constB165, bitIndex1) | v90(constB165, bitIndex2)))),
% 7.88/5.84 inference(unit_resolution,[status(thm)],[15957, 1085])).
% 7.88/5.84 tff(15959,plain,
% 7.88/5.84 (nextState(constB164, constB165) <=> nextState(constB164, constB165)),
% 7.88/5.84 inference(rewrite,[status(thm)],[])).
% 7.88/5.84 tff(15960,axiom,(nextState(constB164, constB165)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_164')).
% 7.88/5.84 tff(15961,plain,
% 7.88/5.84 (nextState(constB164, constB165)),
% 7.88/5.84 inference(modus_ponens,[status(thm)],[15960, 15959])).
% 7.88/5.84 tff(15962,plain,
% 7.88/5.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB164, constB165)) | (v100(constB165) <=> (~((~v101(constB165)) | (~v110(constB165))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB164, constB165)) | (v100(constB165) <=> (~((~v101(constB165)) | (~v110(constB165))))))),
% 7.88/5.84 inference(rewrite,[status(thm)],[])).
% 7.88/5.84 tff(15963,plain,
% 7.88/5.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB164, constB165)) | (v100(constB165) <=> (~((~v101(constB165)) | (~v110(constB165))))))),
% 7.88/5.84 inference(quant_inst,[status(thm)],[])).
% 7.88/5.84 tff(15964,plain,
% 7.88/5.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB164, constB165)) | (v100(constB165) <=> (~((~v101(constB165)) | (~v110(constB165)))))),
% 7.88/5.84 inference(modus_ponens,[status(thm)],[15963, 15962])).
% 7.88/5.84 tff(15965,plain,
% 7.88/5.84 (v100(constB165) <=> (~((~v101(constB165)) | (~v110(constB165))))),
% 7.88/5.84 inference(unit_resolution,[status(thm)],[15964, 15961, 445])).
% 7.88/5.84 tff(15966,plain,
% 7.88/5.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB164, constB165)) | (v101(constB165) <=> (~((~v1(constB165)) | (~v102(constB165))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB164, constB165)) | (v101(constB165) <=> (~((~v1(constB165)) | (~v102(constB165))))))),
% 7.88/5.84 inference(rewrite,[status(thm)],[])).
% 7.88/5.84 tff(15967,plain,
% 7.88/5.84 (((~nextState(constB164, constB165)) | (v101(constB165) <=> (~((~v102(constB165)) | (~v1(constB165)))))) <=> ((~nextState(constB164, constB165)) | (v101(constB165) <=> (~((~v1(constB165)) | (~v102(constB165))))))),
% 7.88/5.84 inference(rewrite,[status(thm)],[])).
% 7.88/5.84 tff(15968,plain,
% 7.88/5.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB164, constB165)) | (v101(constB165) <=> (~((~v102(constB165)) | (~v1(constB165))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB164, constB165)) | (v101(constB165) <=> (~((~v1(constB165)) | (~v102(constB165)))))))),
% 7.88/5.84 inference(monotonicity,[status(thm)],[15967])).
% 7.88/5.84 tff(15969,plain,
% 7.88/5.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB164, constB165)) | (v101(constB165) <=> (~((~v102(constB165)) | (~v1(constB165))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB164, constB165)) | (v101(constB165) <=> (~((~v1(constB165)) | (~v102(constB165))))))),
% 7.88/5.84 inference(transitivity,[status(thm)],[15968, 15966])).
% 7.88/5.84 tff(15970,plain,
% 7.88/5.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB164, constB165)) | (v101(constB165) <=> (~((~v102(constB165)) | (~v1(constB165))))))),
% 7.88/5.84 inference(quant_inst,[status(thm)],[])).
% 7.88/5.84 tff(15971,plain,
% 7.88/5.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB164, constB165)) | (v101(constB165) <=> (~((~v1(constB165)) | (~v102(constB165)))))),
% 7.88/5.84 inference(modus_ponens,[status(thm)],[15970, 15969])).
% 7.88/5.84 tff(15972,plain,
% 7.88/5.84 (v101(constB165) <=> (~((~v1(constB165)) | (~v102(constB165))))),
% 7.88/5.84 inference(unit_resolution,[status(thm)],[15971, 15961, 465])).
% 7.88/5.84 tff(15973,plain,
% 7.88/5.84 ((~v1(constB165)) <=> (~v1(constB165))),
% 7.88/5.84 inference(rewrite,[status(thm)],[])).
% 7.88/5.84 tff(15974,axiom,(~v1(constB165)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_165')).
% 7.88/5.84 tff(15975,plain,
% 7.88/5.84 (~v1(constB165)),
% 7.88/5.84 inference(modus_ponens,[status(thm)],[15974, 15973])).
% 7.88/5.84 tff(15976,plain,
% 7.88/5.84 (((~v1(constB165)) | (~v102(constB165))) | v1(constB165)),
% 7.88/5.84 inference(tautology,[status(thm)],[])).
% 7.88/5.84 tff(15977,plain,
% 7.88/5.84 ((~v1(constB165)) | (~v102(constB165))),
% 7.88/5.84 inference(unit_resolution,[status(thm)],[15976, 15975])).
% 7.88/5.84 tff(15978,plain,
% 7.88/5.84 ((~(v101(constB165) <=> (~((~v1(constB165)) | (~v102(constB165)))))) | (~v101(constB165)) | (~((~v1(constB165)) | (~v102(constB165))))),
% 7.88/5.84 inference(tautology,[status(thm)],[])).
% 7.88/5.84 tff(15979,plain,
% 7.88/5.84 ((~(v101(constB165) <=> (~((~v1(constB165)) | (~v102(constB165)))))) | (~v101(constB165))),
% 7.88/5.84 inference(unit_resolution,[status(thm)],[15978, 15977])).
% 7.88/5.84 tff(15980,plain,
% 7.88/5.84 (~v101(constB165)),
% 7.88/5.84 inference(unit_resolution,[status(thm)],[15979, 15972])).
% 7.88/5.84 tff(15981,plain,
% 7.88/5.84 (((~v101(constB165)) | (~v110(constB165))) | v101(constB165)),
% 7.88/5.84 inference(tautology,[status(thm)],[])).
% 7.88/5.84 tff(15982,plain,
% 7.88/5.84 ((~v101(constB165)) | (~v110(constB165))),
% 7.88/5.84 inference(unit_resolution,[status(thm)],[15981, 15980])).
% 7.88/5.84 tff(15983,plain,
% 7.88/5.84 ((~(v100(constB165) <=> (~((~v101(constB165)) | (~v110(constB165)))))) | (~v100(constB165)) | (~((~v101(constB165)) | (~v110(constB165))))),
% 7.88/5.84 inference(tautology,[status(thm)],[])).
% 7.88/5.84 tff(15984,plain,
% 7.88/5.84 (~v100(constB165)),
% 7.88/5.84 inference(unit_resolution,[status(thm)],[15983, 15982, 15965])).
% 7.88/5.84 tff(15985,plain,
% 7.88/5.84 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB165) | (~nextState(constB164, constB165)) | (~(((~v90(constB165, bitIndex1)) <=> v90(constB164, bitIndex1)) | ((~v90(constB165, bitIndex2)) <=> v90(constB164, bitIndex2)) | ((~v90(constB165, bitIndex0)) <=> v90(constB164, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB165) | (~nextState(constB164, constB165)) | (~(((~v90(constB165, bitIndex1)) <=> v90(constB164, bitIndex1)) | ((~v90(constB165, bitIndex2)) <=> v90(constB164, bitIndex2)) | ((~v90(constB165, bitIndex0)) <=> v90(constB164, bitIndex0)))))),
% 7.88/5.84 inference(rewrite,[status(thm)],[])).
% 7.88/5.84 tff(15986,plain,
% 7.88/5.84 ((v100(constB165) | (~nextState(constB164, constB165)) | (~(((~v90(constB165, bitIndex2)) <=> v90(constB164, bitIndex2)) | ((~v90(constB165, bitIndex1)) <=> v90(constB164, bitIndex1)) | ((~v90(constB165, bitIndex0)) <=> v90(constB164, bitIndex0))))) <=> (v100(constB165) | (~nextState(constB164, constB165)) | (~(((~v90(constB165, bitIndex1)) <=> v90(constB164, bitIndex1)) | ((~v90(constB165, bitIndex2)) <=> v90(constB164, bitIndex2)) | ((~v90(constB165, bitIndex0)) <=> v90(constB164, bitIndex0)))))),
% 7.88/5.84 inference(rewrite,[status(thm)],[])).
% 7.88/5.84 tff(15987,plain,
% 7.88/5.84 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB165) | (~nextState(constB164, constB165)) | (~(((~v90(constB165, bitIndex2)) <=> v90(constB164, bitIndex2)) | ((~v90(constB165, bitIndex1)) <=> v90(constB164, bitIndex1)) | ((~v90(constB165, bitIndex0)) <=> v90(constB164, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB165) | (~nextState(constB164, constB165)) | (~(((~v90(constB165, bitIndex1)) <=> v90(constB164, bitIndex1)) | ((~v90(constB165, bitIndex2)) <=> v90(constB164, bitIndex2)) | ((~v90(constB165, bitIndex0)) <=> v90(constB164, bitIndex0))))))),
% 7.88/5.84 inference(monotonicity,[status(thm)],[15986])).
% 7.88/5.84 tff(15988,plain,
% 7.88/5.84 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB165) | (~nextState(constB164, constB165)) | (~(((~v90(constB165, bitIndex2)) <=> v90(constB164, bitIndex2)) | ((~v90(constB165, bitIndex1)) <=> v90(constB164, bitIndex1)) | ((~v90(constB165, bitIndex0)) <=> v90(constB164, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB165) | (~nextState(constB164, constB165)) | (~(((~v90(constB165, bitIndex1)) <=> v90(constB164, bitIndex1)) | ((~v90(constB165, bitIndex2)) <=> v90(constB164, bitIndex2)) | ((~v90(constB165, bitIndex0)) <=> v90(constB164, bitIndex0)))))),
% 7.88/5.84 inference(transitivity,[status(thm)],[15987, 15985])).
% 7.88/5.84 tff(15989,plain,
% 7.88/5.84 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB165) | (~nextState(constB164, constB165)) | (~(((~v90(constB165, bitIndex2)) <=> v90(constB164, bitIndex2)) | ((~v90(constB165, bitIndex1)) <=> v90(constB164, bitIndex1)) | ((~v90(constB165, bitIndex0)) <=> v90(constB164, bitIndex0)))))),
% 7.88/5.84 inference(quant_inst,[status(thm)],[])).
% 7.88/5.84 tff(15990,plain,
% 7.88/5.84 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB165) | (~nextState(constB164, constB165)) | (~(((~v90(constB165, bitIndex1)) <=> v90(constB164, bitIndex1)) | ((~v90(constB165, bitIndex2)) <=> v90(constB164, bitIndex2)) | ((~v90(constB165, bitIndex0)) <=> v90(constB164, bitIndex0))))),
% 7.88/5.85 inference(modus_ponens,[status(thm)],[15989, 15988])).
% 7.88/5.85 tff(15991,plain,
% 7.88/5.85 (v100(constB165) | (~(((~v90(constB165, bitIndex1)) <=> v90(constB164, bitIndex1)) | ((~v90(constB165, bitIndex2)) <=> v90(constB164, bitIndex2)) | ((~v90(constB165, bitIndex0)) <=> v90(constB164, bitIndex0))))),
% 7.88/5.85 inference(unit_resolution,[status(thm)],[15990, 15961, 494])).
% 7.88/5.85 tff(15992,plain,
% 7.88/5.85 (~(((~v90(constB165, bitIndex1)) <=> v90(constB164, bitIndex1)) | ((~v90(constB165, bitIndex2)) <=> v90(constB164, bitIndex2)) | ((~v90(constB165, bitIndex0)) <=> v90(constB164, bitIndex0)))),
% 7.88/5.85 inference(unit_resolution,[status(thm)],[15991, 15984])).
% 7.88/5.85 tff(15993,plain,
% 7.88/5.85 ((((~v90(constB165, bitIndex1)) <=> v90(constB164, bitIndex1)) | ((~v90(constB165, bitIndex2)) <=> v90(constB164, bitIndex2)) | ((~v90(constB165, bitIndex0)) <=> v90(constB164, bitIndex0))) | (~((~v90(constB165, bitIndex2)) <=> v90(constB164, bitIndex2)))),
% 7.88/5.85 inference(tautology,[status(thm)],[])).
% 7.88/5.85 tff(15994,plain,
% 7.88/5.85 (~((~v90(constB165, bitIndex2)) <=> v90(constB164, bitIndex2))),
% 7.88/5.85 inference(unit_resolution,[status(thm)],[15993, 15992])).
% 7.88/5.85 tff(15995,plain,
% 7.88/5.85 (nextState(constB163, constB164) <=> nextState(constB163, constB164)),
% 7.88/5.85 inference(rewrite,[status(thm)],[])).
% 7.88/5.85 tff(15996,axiom,(nextState(constB163, constB164)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_163')).
% 7.88/5.85 tff(15997,plain,
% 7.88/5.85 (nextState(constB163, constB164)),
% 7.88/5.85 inference(modus_ponens,[status(thm)],[15996, 15995])).
% 7.88/5.85 tff(15998,plain,
% 7.88/5.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB163, constB164)) | (~(((~v129(constB164, bitIndex2)) <=> v127(constB163, bitIndex2)) | ((~v129(constB164, bitIndex1)) <=> v127(constB163, bitIndex1)) | ((~v129(constB164, bitIndex0)) <=> v127(constB163, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB163, constB164)) | (~(((~v129(constB164, bitIndex2)) <=> v127(constB163, bitIndex2)) | ((~v129(constB164, bitIndex1)) <=> v127(constB163, bitIndex1)) | ((~v129(constB164, bitIndex0)) <=> v127(constB163, bitIndex0)))))),
% 7.88/5.85 inference(rewrite,[status(thm)],[])).
% 7.88/5.85 tff(15999,plain,
% 7.88/5.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB163, constB164)) | (~(((~v129(constB164, bitIndex2)) <=> v127(constB163, bitIndex2)) | ((~v129(constB164, bitIndex1)) <=> v127(constB163, bitIndex1)) | ((~v129(constB164, bitIndex0)) <=> v127(constB163, bitIndex0)))))),
% 7.88/5.85 inference(quant_inst,[status(thm)],[])).
% 7.88/5.85 tff(16000,plain,
% 7.88/5.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB163, constB164)) | (~(((~v129(constB164, bitIndex2)) <=> v127(constB163, bitIndex2)) | ((~v129(constB164, bitIndex1)) <=> v127(constB163, bitIndex1)) | ((~v129(constB164, bitIndex0)) <=> v127(constB163, bitIndex0))))),
% 7.88/5.85 inference(modus_ponens,[status(thm)],[15999, 15998])).
% 7.88/5.85 tff(16001,plain,
% 7.88/5.85 (~(((~v129(constB164, bitIndex2)) <=> v127(constB163, bitIndex2)) | ((~v129(constB164, bitIndex1)) <=> v127(constB163, bitIndex1)) | ((~v129(constB164, bitIndex0)) <=> v127(constB163, bitIndex0)))),
% 7.88/5.85 inference(unit_resolution,[status(thm)],[16000, 15997, 517])).
% 7.88/5.85 tff(16002,plain,
% 7.88/5.85 ((((~v129(constB164, bitIndex2)) <=> v127(constB163, bitIndex2)) | ((~v129(constB164, bitIndex1)) <=> v127(constB163, bitIndex1)) | ((~v129(constB164, bitIndex0)) <=> v127(constB163, bitIndex0))) | (~((~v129(constB164, bitIndex2)) <=> v127(constB163, bitIndex2)))),
% 7.88/5.85 inference(tautology,[status(thm)],[])).
% 7.88/5.85 tff(16003,plain,
% 7.88/5.85 (~((~v129(constB164, bitIndex2)) <=> v127(constB163, bitIndex2))),
% 7.88/5.85 inference(unit_resolution,[status(thm)],[16002, 16001])).
% 7.88/5.85 tff(16004,plain,
% 7.88/5.85 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB163) <=> v26(constB163))),
% 7.88/5.85 inference(quant_inst,[status(thm)],[])).
% 7.88/5.85 tff(16005,plain,
% 7.88/5.85 (v111(constB163) <=> v26(constB163)),
% 7.88/5.85 inference(unit_resolution,[status(thm)],[16004, 536])).
% 7.88/5.85 tff(16006,plain,
% 7.88/5.85 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB163))),
% 7.88/5.85 inference(quant_inst,[status(thm)],[])).
% 7.88/5.85 tff(16007,plain,
% 7.88/5.85 (~v26(constB163)),
% 7.88/5.85 inference(unit_resolution,[status(thm)],[16006, 548])).
% 7.88/5.85 tff(16008,plain,
% 7.88/5.85 ((~(v111(constB163) <=> v26(constB163))) | (~v111(constB163)) | v26(constB163)),
% 7.88/5.85 inference(tautology,[status(thm)],[])).
% 7.88/5.85 tff(16009,plain,
% 7.88/5.85 ((~(v111(constB163) <=> v26(constB163))) | (~v111(constB163))),
% 7.88/5.85 inference(unit_resolution,[status(thm)],[16008, 16007])).
% 7.88/5.85 tff(16010,plain,
% 7.88/5.85 (~v111(constB163)),
% 7.88/5.85 inference(unit_resolution,[status(thm)],[16009, 16005])).
% 7.88/5.85 tff(16011,plain,
% 7.88/5.85 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB163) | (~(((~v127(constB163, bitIndex2)) <=> v130(constB163, bitIndex2)) | ((~v127(constB163, bitIndex1)) <=> v130(constB163, bitIndex1)) | ((~v127(constB163, bitIndex0)) <=> v130(constB163, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB163) | (~(((~v127(constB163, bitIndex2)) <=> v130(constB163, bitIndex2)) | ((~v127(constB163, bitIndex1)) <=> v130(constB163, bitIndex1)) | ((~v127(constB163, bitIndex0)) <=> v130(constB163, bitIndex0)))))),
% 7.88/5.85 inference(rewrite,[status(thm)],[])).
% 7.88/5.85 tff(16012,plain,
% 7.88/5.85 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB163) | (~(((~v127(constB163, bitIndex2)) <=> v130(constB163, bitIndex2)) | ((~v127(constB163, bitIndex1)) <=> v130(constB163, bitIndex1)) | ((~v127(constB163, bitIndex0)) <=> v130(constB163, bitIndex0)))))),
% 7.88/5.85 inference(quant_inst,[status(thm)],[])).
% 7.88/5.85 tff(16013,plain,
% 7.88/5.85 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB163) | (~(((~v127(constB163, bitIndex2)) <=> v130(constB163, bitIndex2)) | ((~v127(constB163, bitIndex1)) <=> v130(constB163, bitIndex1)) | ((~v127(constB163, bitIndex0)) <=> v130(constB163, bitIndex0))))),
% 7.88/5.85 inference(modus_ponens,[status(thm)],[16012, 16011])).
% 7.88/5.85 tff(16014,plain,
% 7.88/5.85 (v111(constB163) | (~(((~v127(constB163, bitIndex2)) <=> v130(constB163, bitIndex2)) | ((~v127(constB163, bitIndex1)) <=> v130(constB163, bitIndex1)) | ((~v127(constB163, bitIndex0)) <=> v130(constB163, bitIndex0))))),
% 7.88/5.85 inference(unit_resolution,[status(thm)],[16013, 566])).
% 7.88/5.85 tff(16015,plain,
% 7.88/5.85 (~(((~v127(constB163, bitIndex2)) <=> v130(constB163, bitIndex2)) | ((~v127(constB163, bitIndex1)) <=> v130(constB163, bitIndex1)) | ((~v127(constB163, bitIndex0)) <=> v130(constB163, bitIndex0)))),
% 7.88/5.85 inference(unit_resolution,[status(thm)],[16014, 16010])).
% 7.88/5.85 tff(16016,plain,
% 7.88/5.85 ((((~v127(constB163, bitIndex2)) <=> v130(constB163, bitIndex2)) | ((~v127(constB163, bitIndex1)) <=> v130(constB163, bitIndex1)) | ((~v127(constB163, bitIndex0)) <=> v130(constB163, bitIndex0))) | (~((~v127(constB163, bitIndex2)) <=> v130(constB163, bitIndex2)))),
% 7.88/5.85 inference(tautology,[status(thm)],[])).
% 7.88/5.85 tff(16017,plain,
% 7.88/5.85 (~((~v127(constB163, bitIndex2)) <=> v130(constB163, bitIndex2))),
% 7.88/5.85 inference(unit_resolution,[status(thm)],[16016, 16015])).
% 7.88/5.85 tff(16018,plain,
% 7.88/5.85 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB163) <=> (~(v90(constB163, bitIndex1) | v90(constB163, bitIndex0) | (~v90(constB163, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB163) <=> (~(v90(constB163, bitIndex1) | v90(constB163, bitIndex0) | (~v90(constB163, bitIndex2))))))),
% 7.88/5.85 inference(rewrite,[status(thm)],[])).
% 7.88/5.85 tff(16019,plain,
% 7.88/5.85 ((v123(constB163) <=> (~(v90(constB163, bitIndex0) | v90(constB163, bitIndex1) | (~v90(constB163, bitIndex2))))) <=> (v123(constB163) <=> (~(v90(constB163, bitIndex1) | v90(constB163, bitIndex0) | (~v90(constB163, bitIndex2)))))),
% 7.88/5.85 inference(rewrite,[status(thm)],[])).
% 7.88/5.85 tff(16020,plain,
% 7.88/5.85 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB163) <=> (~(v90(constB163, bitIndex0) | v90(constB163, bitIndex1) | (~v90(constB163, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB163) <=> (~(v90(constB163, bitIndex1) | v90(constB163, bitIndex0) | (~v90(constB163, bitIndex2))))))),
% 7.88/5.85 inference(monotonicity,[status(thm)],[16019])).
% 7.88/5.85 tff(16021,plain,
% 7.88/5.85 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB163) <=> (~(v90(constB163, bitIndex0) | v90(constB163, bitIndex1) | (~v90(constB163, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB163) <=> (~(v90(constB163, bitIndex1) | v90(constB163, bitIndex0) | (~v90(constB163, bitIndex2))))))),
% 7.88/5.85 inference(transitivity,[status(thm)],[16020, 16018])).
% 7.88/5.85 tff(16022,plain,
% 7.88/5.85 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB163) <=> (~(v90(constB163, bitIndex0) | v90(constB163, bitIndex1) | (~v90(constB163, bitIndex2)))))),
% 7.88/5.85 inference(quant_inst,[status(thm)],[])).
% 7.88/5.85 tff(16023,plain,
% 7.88/5.85 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB163) <=> (~(v90(constB163, bitIndex1) | v90(constB163, bitIndex0) | (~v90(constB163, bitIndex2)))))),
% 7.88/5.85 inference(modus_ponens,[status(thm)],[16022, 16021])).
% 7.88/5.85 tff(16024,plain,
% 7.88/5.85 (v123(constB163) <=> (~(v90(constB163, bitIndex1) | v90(constB163, bitIndex0) | (~v90(constB163, bitIndex2))))),
% 7.88/5.85 inference(unit_resolution,[status(thm)],[16023, 800])).
% 7.88/5.85 tff(16025,plain,
% 7.88/5.85 (nextState(constB162, constB163) <=> nextState(constB162, constB163)),
% 7.88/5.85 inference(rewrite,[status(thm)],[])).
% 7.88/5.85 tff(16026,axiom,(nextState(constB162, constB163)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_162')).
% 7.88/5.85 tff(16027,plain,
% 7.88/5.85 (nextState(constB162, constB163)),
% 7.88/5.85 inference(modus_ponens,[status(thm)],[16026, 16025])).
% 7.88/5.85 tff(16028,plain,
% 7.88/5.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB162, constB163)) | (v100(constB163) <=> (~((~v101(constB163)) | (~v110(constB163))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB162, constB163)) | (v100(constB163) <=> (~((~v101(constB163)) | (~v110(constB163))))))),
% 7.88/5.85 inference(rewrite,[status(thm)],[])).
% 7.88/5.85 tff(16029,plain,
% 7.88/5.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB162, constB163)) | (v100(constB163) <=> (~((~v101(constB163)) | (~v110(constB163))))))),
% 7.88/5.85 inference(quant_inst,[status(thm)],[])).
% 7.88/5.85 tff(16030,plain,
% 7.88/5.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB162, constB163)) | (v100(constB163) <=> (~((~v101(constB163)) | (~v110(constB163)))))),
% 7.88/5.85 inference(modus_ponens,[status(thm)],[16029, 16028])).
% 7.88/5.85 tff(16031,plain,
% 7.88/5.85 (v100(constB163) <=> (~((~v101(constB163)) | (~v110(constB163))))),
% 7.88/5.85 inference(unit_resolution,[status(thm)],[16030, 16027, 445])).
% 7.88/5.85 tff(16032,plain,
% 7.88/5.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB162, constB163)) | (v101(constB163) <=> (~((~v1(constB163)) | (~v102(constB163))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB162, constB163)) | (v101(constB163) <=> (~((~v1(constB163)) | (~v102(constB163))))))),
% 7.88/5.85 inference(rewrite,[status(thm)],[])).
% 7.88/5.85 tff(16033,plain,
% 7.88/5.85 (((~nextState(constB162, constB163)) | (v101(constB163) <=> (~((~v102(constB163)) | (~v1(constB163)))))) <=> ((~nextState(constB162, constB163)) | (v101(constB163) <=> (~((~v1(constB163)) | (~v102(constB163))))))),
% 7.88/5.85 inference(rewrite,[status(thm)],[])).
% 7.88/5.85 tff(16034,plain,
% 7.88/5.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB162, constB163)) | (v101(constB163) <=> (~((~v102(constB163)) | (~v1(constB163))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB162, constB163)) | (v101(constB163) <=> (~((~v1(constB163)) | (~v102(constB163)))))))),
% 7.88/5.85 inference(monotonicity,[status(thm)],[16033])).
% 7.88/5.85 tff(16035,plain,
% 7.88/5.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB162, constB163)) | (v101(constB163) <=> (~((~v102(constB163)) | (~v1(constB163))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB162, constB163)) | (v101(constB163) <=> (~((~v1(constB163)) | (~v102(constB163))))))),
% 7.88/5.85 inference(transitivity,[status(thm)],[16034, 16032])).
% 7.88/5.85 tff(16036,plain,
% 7.88/5.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB162, constB163)) | (v101(constB163) <=> (~((~v102(constB163)) | (~v1(constB163))))))),
% 7.88/5.85 inference(quant_inst,[status(thm)],[])).
% 7.88/5.85 tff(16037,plain,
% 7.88/5.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB162, constB163)) | (v101(constB163) <=> (~((~v1(constB163)) | (~v102(constB163)))))),
% 7.88/5.85 inference(modus_ponens,[status(thm)],[16036, 16035])).
% 7.88/5.85 tff(16038,plain,
% 7.88/5.85 (v101(constB163) <=> (~((~v1(constB163)) | (~v102(constB163))))),
% 7.88/5.85 inference(unit_resolution,[status(thm)],[16037, 16027, 465])).
% 7.88/5.85 tff(16039,plain,
% 7.88/5.85 ((~v1(constB163)) <=> (~v1(constB163))),
% 7.88/5.85 inference(rewrite,[status(thm)],[])).
% 7.88/5.85 tff(16040,axiom,(~v1(constB163)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_163')).
% 7.88/5.85 tff(16041,plain,
% 7.88/5.85 (~v1(constB163)),
% 7.88/5.85 inference(modus_ponens,[status(thm)],[16040, 16039])).
% 7.88/5.85 tff(16042,plain,
% 7.88/5.85 (((~v1(constB163)) | (~v102(constB163))) | v1(constB163)),
% 7.88/5.85 inference(tautology,[status(thm)],[])).
% 7.88/5.85 tff(16043,plain,
% 7.88/5.85 ((~v1(constB163)) | (~v102(constB163))),
% 7.88/5.85 inference(unit_resolution,[status(thm)],[16042, 16041])).
% 7.88/5.85 tff(16044,plain,
% 7.88/5.85 ((~(v101(constB163) <=> (~((~v1(constB163)) | (~v102(constB163)))))) | (~v101(constB163)) | (~((~v1(constB163)) | (~v102(constB163))))),
% 7.88/5.85 inference(tautology,[status(thm)],[])).
% 7.88/5.85 tff(16045,plain,
% 7.88/5.85 ((~(v101(constB163) <=> (~((~v1(constB163)) | (~v102(constB163)))))) | (~v101(constB163))),
% 7.88/5.85 inference(unit_resolution,[status(thm)],[16044, 16043])).
% 7.88/5.85 tff(16046,plain,
% 7.88/5.85 (~v101(constB163)),
% 7.88/5.85 inference(unit_resolution,[status(thm)],[16045, 16038])).
% 7.88/5.85 tff(16047,plain,
% 7.88/5.85 (((~v101(constB163)) | (~v110(constB163))) | v101(constB163)),
% 7.88/5.85 inference(tautology,[status(thm)],[])).
% 7.88/5.85 tff(16048,plain,
% 7.88/5.85 ((~v101(constB163)) | (~v110(constB163))),
% 7.88/5.85 inference(unit_resolution,[status(thm)],[16047, 16046])).
% 7.88/5.85 tff(16049,plain,
% 7.88/5.85 ((~(v100(constB163) <=> (~((~v101(constB163)) | (~v110(constB163)))))) | (~v100(constB163)) | (~((~v101(constB163)) | (~v110(constB163))))),
% 7.88/5.85 inference(tautology,[status(thm)],[])).
% 7.88/5.85 tff(16050,plain,
% 7.88/5.85 (~v100(constB163)),
% 7.88/5.85 inference(unit_resolution,[status(thm)],[16049, 16048, 16031])).
% 7.88/5.85 tff(16051,plain,
% 7.88/5.85 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB163) | (~nextState(constB162, constB163)) | (~(((~v90(constB163, bitIndex1)) <=> v90(constB162, bitIndex1)) | ((~v90(constB163, bitIndex2)) <=> v90(constB162, bitIndex2)) | ((~v90(constB163, bitIndex0)) <=> v90(constB162, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB163) | (~nextState(constB162, constB163)) | (~(((~v90(constB163, bitIndex1)) <=> v90(constB162, bitIndex1)) | ((~v90(constB163, bitIndex2)) <=> v90(constB162, bitIndex2)) | ((~v90(constB163, bitIndex0)) <=> v90(constB162, bitIndex0)))))),
% 7.88/5.85 inference(rewrite,[status(thm)],[])).
% 7.88/5.85 tff(16052,plain,
% 7.88/5.85 ((v100(constB163) | (~nextState(constB162, constB163)) | (~(((~v90(constB163, bitIndex2)) <=> v90(constB162, bitIndex2)) | ((~v90(constB163, bitIndex1)) <=> v90(constB162, bitIndex1)) | ((~v90(constB163, bitIndex0)) <=> v90(constB162, bitIndex0))))) <=> (v100(constB163) | (~nextState(constB162, constB163)) | (~(((~v90(constB163, bitIndex1)) <=> v90(constB162, bitIndex1)) | ((~v90(constB163, bitIndex2)) <=> v90(constB162, bitIndex2)) | ((~v90(constB163, bitIndex0)) <=> v90(constB162, bitIndex0)))))),
% 7.88/5.85 inference(rewrite,[status(thm)],[])).
% 7.88/5.85 tff(16053,plain,
% 7.88/5.85 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB163) | (~nextState(constB162, constB163)) | (~(((~v90(constB163, bitIndex2)) <=> v90(constB162, bitIndex2)) | ((~v90(constB163, bitIndex1)) <=> v90(constB162, bitIndex1)) | ((~v90(constB163, bitIndex0)) <=> v90(constB162, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB163) | (~nextState(constB162, constB163)) | (~(((~v90(constB163, bitIndex1)) <=> v90(constB162, bitIndex1)) | ((~v90(constB163, bitIndex2)) <=> v90(constB162, bitIndex2)) | ((~v90(constB163, bitIndex0)) <=> v90(constB162, bitIndex0))))))),
% 7.88/5.85 inference(monotonicity,[status(thm)],[16052])).
% 7.88/5.85 tff(16054,plain,
% 7.88/5.85 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB163) | (~nextState(constB162, constB163)) | (~(((~v90(constB163, bitIndex2)) <=> v90(constB162, bitIndex2)) | ((~v90(constB163, bitIndex1)) <=> v90(constB162, bitIndex1)) | ((~v90(constB163, bitIndex0)) <=> v90(constB162, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB163) | (~nextState(constB162, constB163)) | (~(((~v90(constB163, bitIndex1)) <=> v90(constB162, bitIndex1)) | ((~v90(constB163, bitIndex2)) <=> v90(constB162, bitIndex2)) | ((~v90(constB163, bitIndex0)) <=> v90(constB162, bitIndex0)))))),
% 7.88/5.85 inference(transitivity,[status(thm)],[16053, 16051])).
% 7.88/5.85 tff(16055,plain,
% 7.88/5.85 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB163) | (~nextState(constB162, constB163)) | (~(((~v90(constB163, bitIndex2)) <=> v90(constB162, bitIndex2)) | ((~v90(constB163, bitIndex1)) <=> v90(constB162, bitIndex1)) | ((~v90(constB163, bitIndex0)) <=> v90(constB162, bitIndex0)))))),
% 7.88/5.85 inference(quant_inst,[status(thm)],[])).
% 7.88/5.85 tff(16056,plain,
% 7.88/5.85 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB163) | (~nextState(constB162, constB163)) | (~(((~v90(constB163, bitIndex1)) <=> v90(constB162, bitIndex1)) | ((~v90(constB163, bitIndex2)) <=> v90(constB162, bitIndex2)) | ((~v90(constB163, bitIndex0)) <=> v90(constB162, bitIndex0))))),
% 7.88/5.85 inference(modus_ponens,[status(thm)],[16055, 16054])).
% 7.88/5.85 tff(16057,plain,
% 7.88/5.85 (v100(constB163) | (~(((~v90(constB163, bitIndex1)) <=> v90(constB162, bitIndex1)) | ((~v90(constB163, bitIndex2)) <=> v90(constB162, bitIndex2)) | ((~v90(constB163, bitIndex0)) <=> v90(constB162, bitIndex0))))),
% 7.88/5.85 inference(unit_resolution,[status(thm)],[16056, 16027, 494])).
% 7.88/5.85 tff(16058,plain,
% 7.88/5.85 (~(((~v90(constB163, bitIndex1)) <=> v90(constB162, bitIndex1)) | ((~v90(constB163, bitIndex2)) <=> v90(constB162, bitIndex2)) | ((~v90(constB163, bitIndex0)) <=> v90(constB162, bitIndex0)))),
% 7.88/5.85 inference(unit_resolution,[status(thm)],[16057, 16050])).
% 7.88/5.85 tff(16059,plain,
% 7.88/5.85 ((((~v90(constB163, bitIndex1)) <=> v90(constB162, bitIndex1)) | ((~v90(constB163, bitIndex2)) <=> v90(constB162, bitIndex2)) | ((~v90(constB163, bitIndex0)) <=> v90(constB162, bitIndex0))) | (~((~v90(constB163, bitIndex2)) <=> v90(constB162, bitIndex2)))),
% 7.88/5.85 inference(tautology,[status(thm)],[])).
% 7.88/5.85 tff(16060,plain,
% 7.88/5.85 (~((~v90(constB163, bitIndex2)) <=> v90(constB162, bitIndex2))),
% 7.88/5.85 inference(unit_resolution,[status(thm)],[16059, 16058])).
% 7.88/5.85 tff(16061,plain,
% 7.88/5.85 (nextState(constB161, constB162) <=> nextState(constB161, constB162)),
% 7.88/5.85 inference(rewrite,[status(thm)],[])).
% 7.88/5.85 tff(16062,axiom,(nextState(constB161, constB162)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_161')).
% 7.88/5.85 tff(16063,plain,
% 7.88/5.85 (nextState(constB161, constB162)),
% 7.88/5.85 inference(modus_ponens,[status(thm)],[16062, 16061])).
% 7.88/5.85 tff(16064,plain,
% 7.88/5.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB161, constB162)) | (~(((~v129(constB162, bitIndex2)) <=> v127(constB161, bitIndex2)) | ((~v129(constB162, bitIndex1)) <=> v127(constB161, bitIndex1)) | ((~v129(constB162, bitIndex0)) <=> v127(constB161, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB161, constB162)) | (~(((~v129(constB162, bitIndex2)) <=> v127(constB161, bitIndex2)) | ((~v129(constB162, bitIndex1)) <=> v127(constB161, bitIndex1)) | ((~v129(constB162, bitIndex0)) <=> v127(constB161, bitIndex0)))))),
% 7.88/5.85 inference(rewrite,[status(thm)],[])).
% 7.88/5.85 tff(16065,plain,
% 7.88/5.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB161, constB162)) | (~(((~v129(constB162, bitIndex2)) <=> v127(constB161, bitIndex2)) | ((~v129(constB162, bitIndex1)) <=> v127(constB161, bitIndex1)) | ((~v129(constB162, bitIndex0)) <=> v127(constB161, bitIndex0)))))),
% 7.88/5.85 inference(quant_inst,[status(thm)],[])).
% 7.88/5.85 tff(16066,plain,
% 7.88/5.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB161, constB162)) | (~(((~v129(constB162, bitIndex2)) <=> v127(constB161, bitIndex2)) | ((~v129(constB162, bitIndex1)) <=> v127(constB161, bitIndex1)) | ((~v129(constB162, bitIndex0)) <=> v127(constB161, bitIndex0))))),
% 7.88/5.85 inference(modus_ponens,[status(thm)],[16065, 16064])).
% 7.88/5.85 tff(16067,plain,
% 7.88/5.85 (~(((~v129(constB162, bitIndex2)) <=> v127(constB161, bitIndex2)) | ((~v129(constB162, bitIndex1)) <=> v127(constB161, bitIndex1)) | ((~v129(constB162, bitIndex0)) <=> v127(constB161, bitIndex0)))),
% 7.88/5.85 inference(unit_resolution,[status(thm)],[16066, 16063, 517])).
% 7.88/5.85 tff(16068,plain,
% 7.88/5.85 ((((~v129(constB162, bitIndex2)) <=> v127(constB161, bitIndex2)) | ((~v129(constB162, bitIndex1)) <=> v127(constB161, bitIndex1)) | ((~v129(constB162, bitIndex0)) <=> v127(constB161, bitIndex0))) | (~((~v129(constB162, bitIndex2)) <=> v127(constB161, bitIndex2)))),
% 7.88/5.85 inference(tautology,[status(thm)],[])).
% 7.88/5.85 tff(16069,plain,
% 7.88/5.85 (~((~v129(constB162, bitIndex2)) <=> v127(constB161, bitIndex2))),
% 7.88/5.85 inference(unit_resolution,[status(thm)],[16068, 16067])).
% 7.88/5.85 tff(16070,plain,
% 7.88/5.85 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB161) <=> v26(constB161))),
% 7.88/5.85 inference(quant_inst,[status(thm)],[])).
% 7.88/5.85 tff(16071,plain,
% 7.88/5.85 (v111(constB161) <=> v26(constB161)),
% 7.88/5.85 inference(unit_resolution,[status(thm)],[16070, 536])).
% 7.88/5.85 tff(16072,plain,
% 7.88/5.85 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB161))),
% 7.88/5.85 inference(quant_inst,[status(thm)],[])).
% 7.88/5.85 tff(16073,plain,
% 7.88/5.85 (~v26(constB161)),
% 7.88/5.85 inference(unit_resolution,[status(thm)],[16072, 548])).
% 7.88/5.85 tff(16074,plain,
% 7.88/5.85 ((~(v111(constB161) <=> v26(constB161))) | (~v111(constB161)) | v26(constB161)),
% 7.88/5.85 inference(tautology,[status(thm)],[])).
% 7.88/5.85 tff(16075,plain,
% 7.88/5.85 ((~(v111(constB161) <=> v26(constB161))) | (~v111(constB161))),
% 7.88/5.85 inference(unit_resolution,[status(thm)],[16074, 16073])).
% 7.88/5.85 tff(16076,plain,
% 7.88/5.85 (~v111(constB161)),
% 7.88/5.85 inference(unit_resolution,[status(thm)],[16075, 16071])).
% 7.88/5.85 tff(16077,plain,
% 7.88/5.85 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB161) | (~(((~v127(constB161, bitIndex2)) <=> v130(constB161, bitIndex2)) | ((~v127(constB161, bitIndex1)) <=> v130(constB161, bitIndex1)) | ((~v127(constB161, bitIndex0)) <=> v130(constB161, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB161) | (~(((~v127(constB161, bitIndex2)) <=> v130(constB161, bitIndex2)) | ((~v127(constB161, bitIndex1)) <=> v130(constB161, bitIndex1)) | ((~v127(constB161, bitIndex0)) <=> v130(constB161, bitIndex0)))))),
% 7.88/5.86 inference(rewrite,[status(thm)],[])).
% 7.88/5.86 tff(16078,plain,
% 7.88/5.86 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB161) | (~(((~v127(constB161, bitIndex2)) <=> v130(constB161, bitIndex2)) | ((~v127(constB161, bitIndex1)) <=> v130(constB161, bitIndex1)) | ((~v127(constB161, bitIndex0)) <=> v130(constB161, bitIndex0)))))),
% 7.88/5.86 inference(quant_inst,[status(thm)],[])).
% 7.88/5.86 tff(16079,plain,
% 7.88/5.86 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB161) | (~(((~v127(constB161, bitIndex2)) <=> v130(constB161, bitIndex2)) | ((~v127(constB161, bitIndex1)) <=> v130(constB161, bitIndex1)) | ((~v127(constB161, bitIndex0)) <=> v130(constB161, bitIndex0))))),
% 7.88/5.86 inference(modus_ponens,[status(thm)],[16078, 16077])).
% 7.88/5.86 tff(16080,plain,
% 7.88/5.86 (v111(constB161) | (~(((~v127(constB161, bitIndex2)) <=> v130(constB161, bitIndex2)) | ((~v127(constB161, bitIndex1)) <=> v130(constB161, bitIndex1)) | ((~v127(constB161, bitIndex0)) <=> v130(constB161, bitIndex0))))),
% 7.88/5.86 inference(unit_resolution,[status(thm)],[16079, 566])).
% 7.88/5.86 tff(16081,plain,
% 7.88/5.86 (~(((~v127(constB161, bitIndex2)) <=> v130(constB161, bitIndex2)) | ((~v127(constB161, bitIndex1)) <=> v130(constB161, bitIndex1)) | ((~v127(constB161, bitIndex0)) <=> v130(constB161, bitIndex0)))),
% 7.88/5.86 inference(unit_resolution,[status(thm)],[16080, 16076])).
% 7.88/5.86 tff(16082,plain,
% 7.88/5.86 ((((~v127(constB161, bitIndex2)) <=> v130(constB161, bitIndex2)) | ((~v127(constB161, bitIndex1)) <=> v130(constB161, bitIndex1)) | ((~v127(constB161, bitIndex0)) <=> v130(constB161, bitIndex0))) | (~((~v127(constB161, bitIndex2)) <=> v130(constB161, bitIndex2)))),
% 7.88/5.86 inference(tautology,[status(thm)],[])).
% 7.88/5.86 tff(16083,plain,
% 7.88/5.86 (~((~v127(constB161, bitIndex2)) <=> v130(constB161, bitIndex2))),
% 7.88/5.86 inference(unit_resolution,[status(thm)],[16082, 16081])).
% 7.88/5.86 tff(16084,plain,
% 7.88/5.86 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB161) <=> (~(v90(constB161, bitIndex2) | (~v90(constB161, bitIndex1)) | (~v90(constB161, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB161) <=> (~(v90(constB161, bitIndex2) | (~v90(constB161, bitIndex1)) | (~v90(constB161, bitIndex0))))))),
% 7.88/5.86 inference(rewrite,[status(thm)],[])).
% 7.88/5.86 tff(16085,plain,
% 7.88/5.86 ((v122(constB161) <=> (~(v90(constB161, bitIndex2) | (~v90(constB161, bitIndex0)) | (~v90(constB161, bitIndex1))))) <=> (v122(constB161) <=> (~(v90(constB161, bitIndex2) | (~v90(constB161, bitIndex1)) | (~v90(constB161, bitIndex0)))))),
% 7.88/5.86 inference(rewrite,[status(thm)],[])).
% 7.88/5.86 tff(16086,plain,
% 7.88/5.86 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB161) <=> (~(v90(constB161, bitIndex2) | (~v90(constB161, bitIndex0)) | (~v90(constB161, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB161) <=> (~(v90(constB161, bitIndex2) | (~v90(constB161, bitIndex1)) | (~v90(constB161, bitIndex0))))))),
% 7.88/5.86 inference(monotonicity,[status(thm)],[16085])).
% 7.88/5.86 tff(16087,plain,
% 7.88/5.86 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB161) <=> (~(v90(constB161, bitIndex2) | (~v90(constB161, bitIndex0)) | (~v90(constB161, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB161) <=> (~(v90(constB161, bitIndex2) | (~v90(constB161, bitIndex1)) | (~v90(constB161, bitIndex0))))))),
% 7.88/5.86 inference(transitivity,[status(thm)],[16086, 16084])).
% 7.88/5.86 tff(16088,plain,
% 7.88/5.86 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB161) <=> (~(v90(constB161, bitIndex2) | (~v90(constB161, bitIndex0)) | (~v90(constB161, bitIndex1)))))),
% 7.88/5.86 inference(quant_inst,[status(thm)],[])).
% 7.88/5.86 tff(16089,plain,
% 7.88/5.86 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB161) <=> (~(v90(constB161, bitIndex2) | (~v90(constB161, bitIndex1)) | (~v90(constB161, bitIndex0)))))),
% 7.88/5.86 inference(modus_ponens,[status(thm)],[16088, 16087])).
% 7.88/5.86 tff(16090,plain,
% 7.88/5.86 (v122(constB161) <=> (~(v90(constB161, bitIndex2) | (~v90(constB161, bitIndex1)) | (~v90(constB161, bitIndex0))))),
% 7.88/5.86 inference(unit_resolution,[status(thm)],[16089, 879])).
% 7.88/5.86 tff(16091,plain,
% 7.88/5.86 (nextState(constB160, constB161) <=> nextState(constB160, constB161)),
% 7.88/5.86 inference(rewrite,[status(thm)],[])).
% 7.88/5.86 tff(16092,axiom,(nextState(constB160, constB161)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_160')).
% 7.88/5.86 tff(16093,plain,
% 7.88/5.86 (nextState(constB160, constB161)),
% 7.88/5.86 inference(modus_ponens,[status(thm)],[16092, 16091])).
% 7.88/5.86 tff(16094,plain,
% 7.88/5.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB160, constB161)) | (v100(constB161) <=> (~((~v101(constB161)) | (~v110(constB161))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB160, constB161)) | (v100(constB161) <=> (~((~v101(constB161)) | (~v110(constB161))))))),
% 7.88/5.86 inference(rewrite,[status(thm)],[])).
% 7.88/5.86 tff(16095,plain,
% 7.88/5.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB160, constB161)) | (v100(constB161) <=> (~((~v101(constB161)) | (~v110(constB161))))))),
% 7.88/5.86 inference(quant_inst,[status(thm)],[])).
% 7.88/5.86 tff(16096,plain,
% 7.88/5.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB160, constB161)) | (v100(constB161) <=> (~((~v101(constB161)) | (~v110(constB161)))))),
% 7.88/5.86 inference(modus_ponens,[status(thm)],[16095, 16094])).
% 7.88/5.86 tff(16097,plain,
% 7.88/5.86 (v100(constB161) <=> (~((~v101(constB161)) | (~v110(constB161))))),
% 7.88/5.86 inference(unit_resolution,[status(thm)],[16096, 16093, 445])).
% 7.88/5.86 tff(16098,plain,
% 7.88/5.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB160, constB161)) | (v101(constB161) <=> (~((~v1(constB161)) | (~v102(constB161))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB160, constB161)) | (v101(constB161) <=> (~((~v1(constB161)) | (~v102(constB161))))))),
% 7.88/5.86 inference(rewrite,[status(thm)],[])).
% 7.88/5.86 tff(16099,plain,
% 7.88/5.86 (((~nextState(constB160, constB161)) | (v101(constB161) <=> (~((~v102(constB161)) | (~v1(constB161)))))) <=> ((~nextState(constB160, constB161)) | (v101(constB161) <=> (~((~v1(constB161)) | (~v102(constB161))))))),
% 7.88/5.86 inference(rewrite,[status(thm)],[])).
% 7.88/5.86 tff(16100,plain,
% 7.88/5.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB160, constB161)) | (v101(constB161) <=> (~((~v102(constB161)) | (~v1(constB161))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB160, constB161)) | (v101(constB161) <=> (~((~v1(constB161)) | (~v102(constB161)))))))),
% 7.88/5.86 inference(monotonicity,[status(thm)],[16099])).
% 7.88/5.86 tff(16101,plain,
% 7.88/5.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB160, constB161)) | (v101(constB161) <=> (~((~v102(constB161)) | (~v1(constB161))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB160, constB161)) | (v101(constB161) <=> (~((~v1(constB161)) | (~v102(constB161))))))),
% 7.88/5.86 inference(transitivity,[status(thm)],[16100, 16098])).
% 7.88/5.86 tff(16102,plain,
% 7.88/5.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB160, constB161)) | (v101(constB161) <=> (~((~v102(constB161)) | (~v1(constB161))))))),
% 7.88/5.86 inference(quant_inst,[status(thm)],[])).
% 7.88/5.86 tff(16103,plain,
% 7.88/5.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB160, constB161)) | (v101(constB161) <=> (~((~v1(constB161)) | (~v102(constB161)))))),
% 7.88/5.86 inference(modus_ponens,[status(thm)],[16102, 16101])).
% 7.88/5.86 tff(16104,plain,
% 7.88/5.86 (v101(constB161) <=> (~((~v1(constB161)) | (~v102(constB161))))),
% 7.88/5.86 inference(unit_resolution,[status(thm)],[16103, 16093, 465])).
% 7.88/5.86 tff(16105,plain,
% 7.88/5.86 ((~v1(constB161)) <=> (~v1(constB161))),
% 7.88/5.86 inference(rewrite,[status(thm)],[])).
% 7.88/5.86 tff(16106,axiom,(~v1(constB161)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_161')).
% 7.88/5.86 tff(16107,plain,
% 7.88/5.86 (~v1(constB161)),
% 7.88/5.86 inference(modus_ponens,[status(thm)],[16106, 16105])).
% 7.88/5.86 tff(16108,plain,
% 7.88/5.86 (((~v1(constB161)) | (~v102(constB161))) | v1(constB161)),
% 7.88/5.86 inference(tautology,[status(thm)],[])).
% 7.88/5.86 tff(16109,plain,
% 7.88/5.86 ((~v1(constB161)) | (~v102(constB161))),
% 7.88/5.86 inference(unit_resolution,[status(thm)],[16108, 16107])).
% 7.88/5.86 tff(16110,plain,
% 7.88/5.86 ((~(v101(constB161) <=> (~((~v1(constB161)) | (~v102(constB161)))))) | (~v101(constB161)) | (~((~v1(constB161)) | (~v102(constB161))))),
% 7.88/5.86 inference(tautology,[status(thm)],[])).
% 7.88/5.86 tff(16111,plain,
% 7.88/5.86 ((~(v101(constB161) <=> (~((~v1(constB161)) | (~v102(constB161)))))) | (~v101(constB161))),
% 7.88/5.86 inference(unit_resolution,[status(thm)],[16110, 16109])).
% 7.88/5.86 tff(16112,plain,
% 7.88/5.86 (~v101(constB161)),
% 7.88/5.86 inference(unit_resolution,[status(thm)],[16111, 16104])).
% 7.88/5.86 tff(16113,plain,
% 7.88/5.86 (((~v101(constB161)) | (~v110(constB161))) | v101(constB161)),
% 7.88/5.86 inference(tautology,[status(thm)],[])).
% 7.88/5.86 tff(16114,plain,
% 7.88/5.86 ((~v101(constB161)) | (~v110(constB161))),
% 7.88/5.86 inference(unit_resolution,[status(thm)],[16113, 16112])).
% 7.88/5.86 tff(16115,plain,
% 7.88/5.86 ((~(v100(constB161) <=> (~((~v101(constB161)) | (~v110(constB161)))))) | (~v100(constB161)) | (~((~v101(constB161)) | (~v110(constB161))))),
% 7.88/5.86 inference(tautology,[status(thm)],[])).
% 7.88/5.86 tff(16116,plain,
% 7.88/5.86 (~v100(constB161)),
% 7.88/5.86 inference(unit_resolution,[status(thm)],[16115, 16114, 16097])).
% 7.88/5.86 tff(16117,plain,
% 7.88/5.86 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB161) | (~nextState(constB160, constB161)) | (~(((~v90(constB161, bitIndex1)) <=> v90(constB160, bitIndex1)) | ((~v90(constB161, bitIndex2)) <=> v90(constB160, bitIndex2)) | ((~v90(constB161, bitIndex0)) <=> v90(constB160, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB161) | (~nextState(constB160, constB161)) | (~(((~v90(constB161, bitIndex1)) <=> v90(constB160, bitIndex1)) | ((~v90(constB161, bitIndex2)) <=> v90(constB160, bitIndex2)) | ((~v90(constB161, bitIndex0)) <=> v90(constB160, bitIndex0)))))),
% 7.88/5.86 inference(rewrite,[status(thm)],[])).
% 7.88/5.86 tff(16118,plain,
% 7.88/5.86 ((v100(constB161) | (~nextState(constB160, constB161)) | (~(((~v90(constB161, bitIndex2)) <=> v90(constB160, bitIndex2)) | ((~v90(constB161, bitIndex1)) <=> v90(constB160, bitIndex1)) | ((~v90(constB161, bitIndex0)) <=> v90(constB160, bitIndex0))))) <=> (v100(constB161) | (~nextState(constB160, constB161)) | (~(((~v90(constB161, bitIndex1)) <=> v90(constB160, bitIndex1)) | ((~v90(constB161, bitIndex2)) <=> v90(constB160, bitIndex2)) | ((~v90(constB161, bitIndex0)) <=> v90(constB160, bitIndex0)))))),
% 7.88/5.86 inference(rewrite,[status(thm)],[])).
% 7.88/5.86 tff(16119,plain,
% 7.88/5.86 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB161) | (~nextState(constB160, constB161)) | (~(((~v90(constB161, bitIndex2)) <=> v90(constB160, bitIndex2)) | ((~v90(constB161, bitIndex1)) <=> v90(constB160, bitIndex1)) | ((~v90(constB161, bitIndex0)) <=> v90(constB160, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB161) | (~nextState(constB160, constB161)) | (~(((~v90(constB161, bitIndex1)) <=> v90(constB160, bitIndex1)) | ((~v90(constB161, bitIndex2)) <=> v90(constB160, bitIndex2)) | ((~v90(constB161, bitIndex0)) <=> v90(constB160, bitIndex0))))))),
% 7.88/5.86 inference(monotonicity,[status(thm)],[16118])).
% 7.88/5.86 tff(16120,plain,
% 7.88/5.86 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB161) | (~nextState(constB160, constB161)) | (~(((~v90(constB161, bitIndex2)) <=> v90(constB160, bitIndex2)) | ((~v90(constB161, bitIndex1)) <=> v90(constB160, bitIndex1)) | ((~v90(constB161, bitIndex0)) <=> v90(constB160, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB161) | (~nextState(constB160, constB161)) | (~(((~v90(constB161, bitIndex1)) <=> v90(constB160, bitIndex1)) | ((~v90(constB161, bitIndex2)) <=> v90(constB160, bitIndex2)) | ((~v90(constB161, bitIndex0)) <=> v90(constB160, bitIndex0)))))),
% 7.88/5.86 inference(transitivity,[status(thm)],[16119, 16117])).
% 7.88/5.86 tff(16121,plain,
% 7.88/5.86 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB161) | (~nextState(constB160, constB161)) | (~(((~v90(constB161, bitIndex2)) <=> v90(constB160, bitIndex2)) | ((~v90(constB161, bitIndex1)) <=> v90(constB160, bitIndex1)) | ((~v90(constB161, bitIndex0)) <=> v90(constB160, bitIndex0)))))),
% 7.88/5.86 inference(quant_inst,[status(thm)],[])).
% 7.88/5.86 tff(16122,plain,
% 7.88/5.86 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB161) | (~nextState(constB160, constB161)) | (~(((~v90(constB161, bitIndex1)) <=> v90(constB160, bitIndex1)) | ((~v90(constB161, bitIndex2)) <=> v90(constB160, bitIndex2)) | ((~v90(constB161, bitIndex0)) <=> v90(constB160, bitIndex0))))),
% 7.88/5.86 inference(modus_ponens,[status(thm)],[16121, 16120])).
% 7.88/5.86 tff(16123,plain,
% 7.88/5.86 (v100(constB161) | (~(((~v90(constB161, bitIndex1)) <=> v90(constB160, bitIndex1)) | ((~v90(constB161, bitIndex2)) <=> v90(constB160, bitIndex2)) | ((~v90(constB161, bitIndex0)) <=> v90(constB160, bitIndex0))))),
% 7.88/5.86 inference(unit_resolution,[status(thm)],[16122, 16093, 494])).
% 7.88/5.86 tff(16124,plain,
% 7.88/5.86 (~(((~v90(constB161, bitIndex1)) <=> v90(constB160, bitIndex1)) | ((~v90(constB161, bitIndex2)) <=> v90(constB160, bitIndex2)) | ((~v90(constB161, bitIndex0)) <=> v90(constB160, bitIndex0)))),
% 7.88/5.86 inference(unit_resolution,[status(thm)],[16123, 16116])).
% 7.88/5.86 tff(16125,plain,
% 7.88/5.86 ((((~v90(constB161, bitIndex1)) <=> v90(constB160, bitIndex1)) | ((~v90(constB161, bitIndex2)) <=> v90(constB160, bitIndex2)) | ((~v90(constB161, bitIndex0)) <=> v90(constB160, bitIndex0))) | (~((~v90(constB161, bitIndex2)) <=> v90(constB160, bitIndex2)))),
% 7.88/5.86 inference(tautology,[status(thm)],[])).
% 7.88/5.86 tff(16126,plain,
% 7.88/5.86 (~((~v90(constB161, bitIndex2)) <=> v90(constB160, bitIndex2))),
% 7.88/5.86 inference(unit_resolution,[status(thm)],[16125, 16124])).
% 7.88/5.86 tff(16127,plain,
% 7.88/5.86 (nextState(constB159, constB160) <=> nextState(constB159, constB160)),
% 7.88/5.86 inference(rewrite,[status(thm)],[])).
% 7.88/5.86 tff(16128,axiom,(nextState(constB159, constB160)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_159')).
% 7.88/5.86 tff(16129,plain,
% 7.88/5.86 (nextState(constB159, constB160)),
% 7.88/5.86 inference(modus_ponens,[status(thm)],[16128, 16127])).
% 7.88/5.86 tff(16130,plain,
% 7.88/5.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB159, constB160)) | (~(((~v129(constB160, bitIndex2)) <=> v127(constB159, bitIndex2)) | ((~v129(constB160, bitIndex1)) <=> v127(constB159, bitIndex1)) | ((~v129(constB160, bitIndex0)) <=> v127(constB159, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB159, constB160)) | (~(((~v129(constB160, bitIndex2)) <=> v127(constB159, bitIndex2)) | ((~v129(constB160, bitIndex1)) <=> v127(constB159, bitIndex1)) | ((~v129(constB160, bitIndex0)) <=> v127(constB159, bitIndex0)))))),
% 7.88/5.86 inference(rewrite,[status(thm)],[])).
% 7.88/5.86 tff(16131,plain,
% 7.88/5.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB159, constB160)) | (~(((~v129(constB160, bitIndex2)) <=> v127(constB159, bitIndex2)) | ((~v129(constB160, bitIndex1)) <=> v127(constB159, bitIndex1)) | ((~v129(constB160, bitIndex0)) <=> v127(constB159, bitIndex0)))))),
% 7.88/5.86 inference(quant_inst,[status(thm)],[])).
% 7.88/5.86 tff(16132,plain,
% 7.88/5.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB159, constB160)) | (~(((~v129(constB160, bitIndex2)) <=> v127(constB159, bitIndex2)) | ((~v129(constB160, bitIndex1)) <=> v127(constB159, bitIndex1)) | ((~v129(constB160, bitIndex0)) <=> v127(constB159, bitIndex0))))),
% 7.88/5.86 inference(modus_ponens,[status(thm)],[16131, 16130])).
% 7.88/5.86 tff(16133,plain,
% 7.88/5.86 (~(((~v129(constB160, bitIndex2)) <=> v127(constB159, bitIndex2)) | ((~v129(constB160, bitIndex1)) <=> v127(constB159, bitIndex1)) | ((~v129(constB160, bitIndex0)) <=> v127(constB159, bitIndex0)))),
% 7.88/5.86 inference(unit_resolution,[status(thm)],[16132, 16129, 517])).
% 7.88/5.86 tff(16134,plain,
% 7.88/5.86 ((((~v129(constB160, bitIndex2)) <=> v127(constB159, bitIndex2)) | ((~v129(constB160, bitIndex1)) <=> v127(constB159, bitIndex1)) | ((~v129(constB160, bitIndex0)) <=> v127(constB159, bitIndex0))) | (~((~v129(constB160, bitIndex2)) <=> v127(constB159, bitIndex2)))),
% 7.88/5.86 inference(tautology,[status(thm)],[])).
% 7.88/5.86 tff(16135,plain,
% 7.88/5.86 (~((~v129(constB160, bitIndex2)) <=> v127(constB159, bitIndex2))),
% 7.88/5.86 inference(unit_resolution,[status(thm)],[16134, 16133])).
% 7.88/5.86 tff(16136,plain,
% 7.88/5.86 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB159) <=> v26(constB159))),
% 7.88/5.86 inference(quant_inst,[status(thm)],[])).
% 7.88/5.86 tff(16137,plain,
% 7.88/5.86 (v111(constB159) <=> v26(constB159)),
% 7.88/5.86 inference(unit_resolution,[status(thm)],[16136, 536])).
% 7.88/5.86 tff(16138,plain,
% 7.88/5.86 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB159))),
% 7.88/5.86 inference(quant_inst,[status(thm)],[])).
% 7.88/5.86 tff(16139,plain,
% 7.88/5.86 (~v26(constB159)),
% 7.88/5.86 inference(unit_resolution,[status(thm)],[16138, 548])).
% 7.88/5.86 tff(16140,plain,
% 7.88/5.86 ((~(v111(constB159) <=> v26(constB159))) | (~v111(constB159)) | v26(constB159)),
% 7.88/5.86 inference(tautology,[status(thm)],[])).
% 7.88/5.86 tff(16141,plain,
% 7.88/5.86 ((~(v111(constB159) <=> v26(constB159))) | (~v111(constB159))),
% 7.88/5.86 inference(unit_resolution,[status(thm)],[16140, 16139])).
% 7.88/5.86 tff(16142,plain,
% 7.88/5.86 (~v111(constB159)),
% 7.88/5.86 inference(unit_resolution,[status(thm)],[16141, 16137])).
% 7.88/5.86 tff(16143,plain,
% 7.88/5.86 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB159) | (~(((~v127(constB159, bitIndex2)) <=> v130(constB159, bitIndex2)) | ((~v127(constB159, bitIndex1)) <=> v130(constB159, bitIndex1)) | ((~v127(constB159, bitIndex0)) <=> v130(constB159, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB159) | (~(((~v127(constB159, bitIndex2)) <=> v130(constB159, bitIndex2)) | ((~v127(constB159, bitIndex1)) <=> v130(constB159, bitIndex1)) | ((~v127(constB159, bitIndex0)) <=> v130(constB159, bitIndex0)))))),
% 7.88/5.86 inference(rewrite,[status(thm)],[])).
% 7.88/5.86 tff(16144,plain,
% 7.88/5.86 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB159) | (~(((~v127(constB159, bitIndex2)) <=> v130(constB159, bitIndex2)) | ((~v127(constB159, bitIndex1)) <=> v130(constB159, bitIndex1)) | ((~v127(constB159, bitIndex0)) <=> v130(constB159, bitIndex0)))))),
% 7.88/5.86 inference(quant_inst,[status(thm)],[])).
% 7.88/5.86 tff(16145,plain,
% 7.88/5.86 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB159) | (~(((~v127(constB159, bitIndex2)) <=> v130(constB159, bitIndex2)) | ((~v127(constB159, bitIndex1)) <=> v130(constB159, bitIndex1)) | ((~v127(constB159, bitIndex0)) <=> v130(constB159, bitIndex0))))),
% 7.88/5.86 inference(modus_ponens,[status(thm)],[16144, 16143])).
% 7.88/5.86 tff(16146,plain,
% 7.88/5.86 (v111(constB159) | (~(((~v127(constB159, bitIndex2)) <=> v130(constB159, bitIndex2)) | ((~v127(constB159, bitIndex1)) <=> v130(constB159, bitIndex1)) | ((~v127(constB159, bitIndex0)) <=> v130(constB159, bitIndex0))))),
% 7.88/5.86 inference(unit_resolution,[status(thm)],[16145, 566])).
% 7.88/5.86 tff(16147,plain,
% 7.88/5.86 (~(((~v127(constB159, bitIndex2)) <=> v130(constB159, bitIndex2)) | ((~v127(constB159, bitIndex1)) <=> v130(constB159, bitIndex1)) | ((~v127(constB159, bitIndex0)) <=> v130(constB159, bitIndex0)))),
% 7.88/5.86 inference(unit_resolution,[status(thm)],[16146, 16142])).
% 7.88/5.86 tff(16148,plain,
% 7.88/5.86 ((((~v127(constB159, bitIndex2)) <=> v130(constB159, bitIndex2)) | ((~v127(constB159, bitIndex1)) <=> v130(constB159, bitIndex1)) | ((~v127(constB159, bitIndex0)) <=> v130(constB159, bitIndex0))) | (~((~v127(constB159, bitIndex2)) <=> v130(constB159, bitIndex2)))),
% 7.88/5.86 inference(tautology,[status(thm)],[])).
% 7.88/5.86 tff(16149,plain,
% 7.88/5.86 (~((~v127(constB159, bitIndex2)) <=> v130(constB159, bitIndex2))),
% 7.88/5.86 inference(unit_resolution,[status(thm)],[16148, 16147])).
% 7.88/5.86 tff(16150,plain,
% 7.88/5.86 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB159) <=> (~(v90(constB159, bitIndex2) | v90(constB159, bitIndex0) | (~v90(constB159, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB159) <=> (~(v90(constB159, bitIndex2) | v90(constB159, bitIndex0) | (~v90(constB159, bitIndex1))))))),
% 7.88/5.86 inference(rewrite,[status(thm)],[])).
% 7.88/5.86 tff(16151,plain,
% 7.88/5.86 ((v121(constB159) <=> (~(v90(constB159, bitIndex0) | v90(constB159, bitIndex2) | (~v90(constB159, bitIndex1))))) <=> (v121(constB159) <=> (~(v90(constB159, bitIndex2) | v90(constB159, bitIndex0) | (~v90(constB159, bitIndex1)))))),
% 7.88/5.86 inference(rewrite,[status(thm)],[])).
% 7.88/5.86 tff(16152,plain,
% 7.88/5.86 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB159) <=> (~(v90(constB159, bitIndex0) | v90(constB159, bitIndex2) | (~v90(constB159, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB159) <=> (~(v90(constB159, bitIndex2) | v90(constB159, bitIndex0) | (~v90(constB159, bitIndex1))))))),
% 7.88/5.86 inference(monotonicity,[status(thm)],[16151])).
% 7.88/5.86 tff(16153,plain,
% 7.88/5.86 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB159) <=> (~(v90(constB159, bitIndex0) | v90(constB159, bitIndex2) | (~v90(constB159, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB159) <=> (~(v90(constB159, bitIndex2) | v90(constB159, bitIndex0) | (~v90(constB159, bitIndex1))))))),
% 7.88/5.86 inference(transitivity,[status(thm)],[16152, 16150])).
% 7.88/5.86 tff(16154,plain,
% 7.88/5.86 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB159) <=> (~(v90(constB159, bitIndex0) | v90(constB159, bitIndex2) | (~v90(constB159, bitIndex1)))))),
% 7.88/5.86 inference(quant_inst,[status(thm)],[])).
% 7.88/5.86 tff(16155,plain,
% 7.88/5.86 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB159) <=> (~(v90(constB159, bitIndex2) | v90(constB159, bitIndex0) | (~v90(constB159, bitIndex1)))))),
% 7.88/5.86 inference(modus_ponens,[status(thm)],[16154, 16153])).
% 7.88/5.86 tff(16156,plain,
% 7.88/5.86 (v121(constB159) <=> (~(v90(constB159, bitIndex2) | v90(constB159, bitIndex0) | (~v90(constB159, bitIndex1))))),
% 7.88/5.86 inference(unit_resolution,[status(thm)],[16155, 586])).
% 7.88/5.86 tff(16157,plain,
% 7.88/5.86 (nextState(constB158, constB159) <=> nextState(constB158, constB159)),
% 7.88/5.86 inference(rewrite,[status(thm)],[])).
% 7.88/5.86 tff(16158,axiom,(nextState(constB158, constB159)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_158')).
% 7.88/5.86 tff(16159,plain,
% 7.88/5.86 (nextState(constB158, constB159)),
% 7.88/5.86 inference(modus_ponens,[status(thm)],[16158, 16157])).
% 7.88/5.86 tff(16160,plain,
% 7.88/5.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB158, constB159)) | (v100(constB159) <=> (~((~v101(constB159)) | (~v110(constB159))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB158, constB159)) | (v100(constB159) <=> (~((~v101(constB159)) | (~v110(constB159))))))),
% 7.88/5.86 inference(rewrite,[status(thm)],[])).
% 7.88/5.86 tff(16161,plain,
% 7.88/5.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB158, constB159)) | (v100(constB159) <=> (~((~v101(constB159)) | (~v110(constB159))))))),
% 7.88/5.86 inference(quant_inst,[status(thm)],[])).
% 7.88/5.86 tff(16162,plain,
% 7.88/5.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB158, constB159)) | (v100(constB159) <=> (~((~v101(constB159)) | (~v110(constB159)))))),
% 7.88/5.87 inference(modus_ponens,[status(thm)],[16161, 16160])).
% 7.88/5.87 tff(16163,plain,
% 7.88/5.87 (v100(constB159) <=> (~((~v101(constB159)) | (~v110(constB159))))),
% 7.88/5.87 inference(unit_resolution,[status(thm)],[16162, 16159, 445])).
% 7.88/5.87 tff(16164,plain,
% 7.88/5.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB158, constB159)) | (v101(constB159) <=> (~((~v1(constB159)) | (~v102(constB159))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB158, constB159)) | (v101(constB159) <=> (~((~v1(constB159)) | (~v102(constB159))))))),
% 7.88/5.87 inference(rewrite,[status(thm)],[])).
% 7.88/5.87 tff(16165,plain,
% 7.88/5.87 (((~nextState(constB158, constB159)) | (v101(constB159) <=> (~((~v102(constB159)) | (~v1(constB159)))))) <=> ((~nextState(constB158, constB159)) | (v101(constB159) <=> (~((~v1(constB159)) | (~v102(constB159))))))),
% 7.88/5.87 inference(rewrite,[status(thm)],[])).
% 7.88/5.87 tff(16166,plain,
% 7.88/5.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB158, constB159)) | (v101(constB159) <=> (~((~v102(constB159)) | (~v1(constB159))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB158, constB159)) | (v101(constB159) <=> (~((~v1(constB159)) | (~v102(constB159)))))))),
% 7.88/5.87 inference(monotonicity,[status(thm)],[16165])).
% 7.88/5.87 tff(16167,plain,
% 7.88/5.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB158, constB159)) | (v101(constB159) <=> (~((~v102(constB159)) | (~v1(constB159))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB158, constB159)) | (v101(constB159) <=> (~((~v1(constB159)) | (~v102(constB159))))))),
% 7.88/5.87 inference(transitivity,[status(thm)],[16166, 16164])).
% 7.88/5.87 tff(16168,plain,
% 7.88/5.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB158, constB159)) | (v101(constB159) <=> (~((~v102(constB159)) | (~v1(constB159))))))),
% 7.88/5.87 inference(quant_inst,[status(thm)],[])).
% 7.88/5.87 tff(16169,plain,
% 7.88/5.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB158, constB159)) | (v101(constB159) <=> (~((~v1(constB159)) | (~v102(constB159)))))),
% 7.88/5.87 inference(modus_ponens,[status(thm)],[16168, 16167])).
% 7.88/5.87 tff(16170,plain,
% 7.88/5.87 (v101(constB159) <=> (~((~v1(constB159)) | (~v102(constB159))))),
% 7.88/5.87 inference(unit_resolution,[status(thm)],[16169, 16159, 465])).
% 7.88/5.87 tff(16171,plain,
% 7.88/5.87 ((~v1(constB159)) <=> (~v1(constB159))),
% 7.88/5.87 inference(rewrite,[status(thm)],[])).
% 7.88/5.87 tff(16172,axiom,(~v1(constB159)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_159')).
% 7.88/5.87 tff(16173,plain,
% 7.88/5.87 (~v1(constB159)),
% 7.88/5.87 inference(modus_ponens,[status(thm)],[16172, 16171])).
% 7.88/5.87 tff(16174,plain,
% 7.88/5.87 (((~v1(constB159)) | (~v102(constB159))) | v1(constB159)),
% 7.88/5.87 inference(tautology,[status(thm)],[])).
% 7.88/5.87 tff(16175,plain,
% 7.88/5.87 ((~v1(constB159)) | (~v102(constB159))),
% 7.88/5.87 inference(unit_resolution,[status(thm)],[16174, 16173])).
% 7.88/5.87 tff(16176,plain,
% 7.88/5.87 ((~(v101(constB159) <=> (~((~v1(constB159)) | (~v102(constB159)))))) | (~v101(constB159)) | (~((~v1(constB159)) | (~v102(constB159))))),
% 7.88/5.87 inference(tautology,[status(thm)],[])).
% 7.88/5.87 tff(16177,plain,
% 7.88/5.87 ((~(v101(constB159) <=> (~((~v1(constB159)) | (~v102(constB159)))))) | (~v101(constB159))),
% 7.88/5.87 inference(unit_resolution,[status(thm)],[16176, 16175])).
% 7.88/5.87 tff(16178,plain,
% 7.88/5.87 (~v101(constB159)),
% 7.88/5.87 inference(unit_resolution,[status(thm)],[16177, 16170])).
% 7.88/5.87 tff(16179,plain,
% 7.88/5.87 (((~v101(constB159)) | (~v110(constB159))) | v101(constB159)),
% 7.88/5.87 inference(tautology,[status(thm)],[])).
% 7.88/5.87 tff(16180,plain,
% 7.88/5.87 ((~v101(constB159)) | (~v110(constB159))),
% 7.88/5.87 inference(unit_resolution,[status(thm)],[16179, 16178])).
% 7.88/5.87 tff(16181,plain,
% 7.88/5.87 ((~(v100(constB159) <=> (~((~v101(constB159)) | (~v110(constB159)))))) | (~v100(constB159)) | (~((~v101(constB159)) | (~v110(constB159))))),
% 7.88/5.87 inference(tautology,[status(thm)],[])).
% 7.88/5.87 tff(16182,plain,
% 7.88/5.87 (~v100(constB159)),
% 7.88/5.87 inference(unit_resolution,[status(thm)],[16181, 16180, 16163])).
% 7.88/5.87 tff(16183,plain,
% 7.88/5.87 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB159) | (~nextState(constB158, constB159)) | (~(((~v90(constB159, bitIndex1)) <=> v90(constB158, bitIndex1)) | ((~v90(constB159, bitIndex2)) <=> v90(constB158, bitIndex2)) | ((~v90(constB159, bitIndex0)) <=> v90(constB158, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB159) | (~nextState(constB158, constB159)) | (~(((~v90(constB159, bitIndex1)) <=> v90(constB158, bitIndex1)) | ((~v90(constB159, bitIndex2)) <=> v90(constB158, bitIndex2)) | ((~v90(constB159, bitIndex0)) <=> v90(constB158, bitIndex0)))))),
% 7.88/5.87 inference(rewrite,[status(thm)],[])).
% 7.88/5.87 tff(16184,plain,
% 7.88/5.87 ((v100(constB159) | (~nextState(constB158, constB159)) | (~(((~v90(constB159, bitIndex2)) <=> v90(constB158, bitIndex2)) | ((~v90(constB159, bitIndex1)) <=> v90(constB158, bitIndex1)) | ((~v90(constB159, bitIndex0)) <=> v90(constB158, bitIndex0))))) <=> (v100(constB159) | (~nextState(constB158, constB159)) | (~(((~v90(constB159, bitIndex1)) <=> v90(constB158, bitIndex1)) | ((~v90(constB159, bitIndex2)) <=> v90(constB158, bitIndex2)) | ((~v90(constB159, bitIndex0)) <=> v90(constB158, bitIndex0)))))),
% 7.88/5.87 inference(rewrite,[status(thm)],[])).
% 7.88/5.87 tff(16185,plain,
% 7.88/5.87 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB159) | (~nextState(constB158, constB159)) | (~(((~v90(constB159, bitIndex2)) <=> v90(constB158, bitIndex2)) | ((~v90(constB159, bitIndex1)) <=> v90(constB158, bitIndex1)) | ((~v90(constB159, bitIndex0)) <=> v90(constB158, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB159) | (~nextState(constB158, constB159)) | (~(((~v90(constB159, bitIndex1)) <=> v90(constB158, bitIndex1)) | ((~v90(constB159, bitIndex2)) <=> v90(constB158, bitIndex2)) | ((~v90(constB159, bitIndex0)) <=> v90(constB158, bitIndex0))))))),
% 7.88/5.87 inference(monotonicity,[status(thm)],[16184])).
% 7.88/5.87 tff(16186,plain,
% 7.88/5.87 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB159) | (~nextState(constB158, constB159)) | (~(((~v90(constB159, bitIndex2)) <=> v90(constB158, bitIndex2)) | ((~v90(constB159, bitIndex1)) <=> v90(constB158, bitIndex1)) | ((~v90(constB159, bitIndex0)) <=> v90(constB158, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB159) | (~nextState(constB158, constB159)) | (~(((~v90(constB159, bitIndex1)) <=> v90(constB158, bitIndex1)) | ((~v90(constB159, bitIndex2)) <=> v90(constB158, bitIndex2)) | ((~v90(constB159, bitIndex0)) <=> v90(constB158, bitIndex0)))))),
% 7.88/5.87 inference(transitivity,[status(thm)],[16185, 16183])).
% 7.88/5.87 tff(16187,plain,
% 7.88/5.87 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB159) | (~nextState(constB158, constB159)) | (~(((~v90(constB159, bitIndex2)) <=> v90(constB158, bitIndex2)) | ((~v90(constB159, bitIndex1)) <=> v90(constB158, bitIndex1)) | ((~v90(constB159, bitIndex0)) <=> v90(constB158, bitIndex0)))))),
% 7.88/5.87 inference(quant_inst,[status(thm)],[])).
% 7.88/5.87 tff(16188,plain,
% 7.88/5.87 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB159) | (~nextState(constB158, constB159)) | (~(((~v90(constB159, bitIndex1)) <=> v90(constB158, bitIndex1)) | ((~v90(constB159, bitIndex2)) <=> v90(constB158, bitIndex2)) | ((~v90(constB159, bitIndex0)) <=> v90(constB158, bitIndex0))))),
% 7.88/5.87 inference(modus_ponens,[status(thm)],[16187, 16186])).
% 7.88/5.87 tff(16189,plain,
% 7.88/5.87 (v100(constB159) | (~(((~v90(constB159, bitIndex1)) <=> v90(constB158, bitIndex1)) | ((~v90(constB159, bitIndex2)) <=> v90(constB158, bitIndex2)) | ((~v90(constB159, bitIndex0)) <=> v90(constB158, bitIndex0))))),
% 7.88/5.87 inference(unit_resolution,[status(thm)],[16188, 16159, 494])).
% 7.88/5.87 tff(16190,plain,
% 7.88/5.87 (~(((~v90(constB159, bitIndex1)) <=> v90(constB158, bitIndex1)) | ((~v90(constB159, bitIndex2)) <=> v90(constB158, bitIndex2)) | ((~v90(constB159, bitIndex0)) <=> v90(constB158, bitIndex0)))),
% 7.88/5.87 inference(unit_resolution,[status(thm)],[16189, 16182])).
% 7.88/5.87 tff(16191,plain,
% 7.88/5.87 ((((~v90(constB159, bitIndex1)) <=> v90(constB158, bitIndex1)) | ((~v90(constB159, bitIndex2)) <=> v90(constB158, bitIndex2)) | ((~v90(constB159, bitIndex0)) <=> v90(constB158, bitIndex0))) | (~((~v90(constB159, bitIndex2)) <=> v90(constB158, bitIndex2)))),
% 7.88/5.87 inference(tautology,[status(thm)],[])).
% 7.88/5.87 tff(16192,plain,
% 7.88/5.87 (~((~v90(constB159, bitIndex2)) <=> v90(constB158, bitIndex2))),
% 7.88/5.87 inference(unit_resolution,[status(thm)],[16191, 16190])).
% 7.88/5.87 tff(16193,plain,
% 7.88/5.87 (nextState(constB157, constB158) <=> nextState(constB157, constB158)),
% 7.88/5.87 inference(rewrite,[status(thm)],[])).
% 7.88/5.87 tff(16194,axiom,(nextState(constB157, constB158)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_157')).
% 7.88/5.87 tff(16195,plain,
% 7.88/5.87 (nextState(constB157, constB158)),
% 7.88/5.87 inference(modus_ponens,[status(thm)],[16194, 16193])).
% 7.88/5.87 tff(16196,plain,
% 7.88/5.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB157, constB158)) | (~(((~v129(constB158, bitIndex2)) <=> v127(constB157, bitIndex2)) | ((~v129(constB158, bitIndex1)) <=> v127(constB157, bitIndex1)) | ((~v129(constB158, bitIndex0)) <=> v127(constB157, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB157, constB158)) | (~(((~v129(constB158, bitIndex2)) <=> v127(constB157, bitIndex2)) | ((~v129(constB158, bitIndex1)) <=> v127(constB157, bitIndex1)) | ((~v129(constB158, bitIndex0)) <=> v127(constB157, bitIndex0)))))),
% 7.88/5.87 inference(rewrite,[status(thm)],[])).
% 7.88/5.87 tff(16197,plain,
% 7.88/5.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB157, constB158)) | (~(((~v129(constB158, bitIndex2)) <=> v127(constB157, bitIndex2)) | ((~v129(constB158, bitIndex1)) <=> v127(constB157, bitIndex1)) | ((~v129(constB158, bitIndex0)) <=> v127(constB157, bitIndex0)))))),
% 7.88/5.87 inference(quant_inst,[status(thm)],[])).
% 7.88/5.87 tff(16198,plain,
% 7.88/5.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB157, constB158)) | (~(((~v129(constB158, bitIndex2)) <=> v127(constB157, bitIndex2)) | ((~v129(constB158, bitIndex1)) <=> v127(constB157, bitIndex1)) | ((~v129(constB158, bitIndex0)) <=> v127(constB157, bitIndex0))))),
% 7.88/5.87 inference(modus_ponens,[status(thm)],[16197, 16196])).
% 7.88/5.87 tff(16199,plain,
% 7.88/5.87 (~(((~v129(constB158, bitIndex2)) <=> v127(constB157, bitIndex2)) | ((~v129(constB158, bitIndex1)) <=> v127(constB157, bitIndex1)) | ((~v129(constB158, bitIndex0)) <=> v127(constB157, bitIndex0)))),
% 7.88/5.87 inference(unit_resolution,[status(thm)],[16198, 16195, 517])).
% 7.88/5.87 tff(16200,plain,
% 7.88/5.87 ((((~v129(constB158, bitIndex2)) <=> v127(constB157, bitIndex2)) | ((~v129(constB158, bitIndex1)) <=> v127(constB157, bitIndex1)) | ((~v129(constB158, bitIndex0)) <=> v127(constB157, bitIndex0))) | (~((~v129(constB158, bitIndex2)) <=> v127(constB157, bitIndex2)))),
% 7.88/5.87 inference(tautology,[status(thm)],[])).
% 7.88/5.87 tff(16201,plain,
% 7.88/5.87 (~((~v129(constB158, bitIndex2)) <=> v127(constB157, bitIndex2))),
% 7.88/5.87 inference(unit_resolution,[status(thm)],[16200, 16199])).
% 7.88/5.87 tff(16202,plain,
% 7.88/5.87 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB157) <=> v26(constB157))),
% 7.88/5.87 inference(quant_inst,[status(thm)],[])).
% 7.88/5.87 tff(16203,plain,
% 7.88/5.87 (v111(constB157) <=> v26(constB157)),
% 7.88/5.87 inference(unit_resolution,[status(thm)],[16202, 536])).
% 7.88/5.87 tff(16204,plain,
% 7.88/5.87 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB157))),
% 7.88/5.87 inference(quant_inst,[status(thm)],[])).
% 7.88/5.87 tff(16205,plain,
% 7.88/5.87 (~v26(constB157)),
% 7.88/5.87 inference(unit_resolution,[status(thm)],[16204, 548])).
% 7.88/5.87 tff(16206,plain,
% 7.88/5.87 ((~(v111(constB157) <=> v26(constB157))) | (~v111(constB157)) | v26(constB157)),
% 7.88/5.87 inference(tautology,[status(thm)],[])).
% 7.88/5.87 tff(16207,plain,
% 7.88/5.87 ((~(v111(constB157) <=> v26(constB157))) | (~v111(constB157))),
% 7.88/5.87 inference(unit_resolution,[status(thm)],[16206, 16205])).
% 7.88/5.87 tff(16208,plain,
% 7.88/5.87 (~v111(constB157)),
% 7.88/5.87 inference(unit_resolution,[status(thm)],[16207, 16203])).
% 7.88/5.87 tff(16209,plain,
% 7.88/5.87 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB157) | (~(((~v127(constB157, bitIndex2)) <=> v130(constB157, bitIndex2)) | ((~v127(constB157, bitIndex1)) <=> v130(constB157, bitIndex1)) | ((~v127(constB157, bitIndex0)) <=> v130(constB157, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB157) | (~(((~v127(constB157, bitIndex2)) <=> v130(constB157, bitIndex2)) | ((~v127(constB157, bitIndex1)) <=> v130(constB157, bitIndex1)) | ((~v127(constB157, bitIndex0)) <=> v130(constB157, bitIndex0)))))),
% 7.88/5.87 inference(rewrite,[status(thm)],[])).
% 7.88/5.87 tff(16210,plain,
% 7.88/5.87 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB157) | (~(((~v127(constB157, bitIndex2)) <=> v130(constB157, bitIndex2)) | ((~v127(constB157, bitIndex1)) <=> v130(constB157, bitIndex1)) | ((~v127(constB157, bitIndex0)) <=> v130(constB157, bitIndex0)))))),
% 7.88/5.87 inference(quant_inst,[status(thm)],[])).
% 7.88/5.87 tff(16211,plain,
% 7.88/5.87 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB157) | (~(((~v127(constB157, bitIndex2)) <=> v130(constB157, bitIndex2)) | ((~v127(constB157, bitIndex1)) <=> v130(constB157, bitIndex1)) | ((~v127(constB157, bitIndex0)) <=> v130(constB157, bitIndex0))))),
% 7.88/5.87 inference(modus_ponens,[status(thm)],[16210, 16209])).
% 7.88/5.87 tff(16212,plain,
% 7.88/5.87 (v111(constB157) | (~(((~v127(constB157, bitIndex2)) <=> v130(constB157, bitIndex2)) | ((~v127(constB157, bitIndex1)) <=> v130(constB157, bitIndex1)) | ((~v127(constB157, bitIndex0)) <=> v130(constB157, bitIndex0))))),
% 7.88/5.87 inference(unit_resolution,[status(thm)],[16211, 566])).
% 7.88/5.87 tff(16213,plain,
% 7.88/5.87 (~(((~v127(constB157, bitIndex2)) <=> v130(constB157, bitIndex2)) | ((~v127(constB157, bitIndex1)) <=> v130(constB157, bitIndex1)) | ((~v127(constB157, bitIndex0)) <=> v130(constB157, bitIndex0)))),
% 7.88/5.87 inference(unit_resolution,[status(thm)],[16212, 16208])).
% 7.88/5.87 tff(16214,plain,
% 7.88/5.87 ((((~v127(constB157, bitIndex2)) <=> v130(constB157, bitIndex2)) | ((~v127(constB157, bitIndex1)) <=> v130(constB157, bitIndex1)) | ((~v127(constB157, bitIndex0)) <=> v130(constB157, bitIndex0))) | (~((~v127(constB157, bitIndex2)) <=> v130(constB157, bitIndex2)))),
% 7.88/5.87 inference(tautology,[status(thm)],[])).
% 7.88/5.87 tff(16215,plain,
% 7.88/5.87 (~((~v127(constB157, bitIndex2)) <=> v130(constB157, bitIndex2))),
% 7.88/5.87 inference(unit_resolution,[status(thm)],[16214, 16213])).
% 7.88/5.87 tff(16216,plain,
% 7.88/5.87 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB157) <=> (~(v90(constB157, bitIndex1) | v90(constB157, bitIndex2) | (~v90(constB157, bitIndex0)))))),
% 7.88/5.87 inference(quant_inst,[status(thm)],[])).
% 7.88/5.87 tff(16217,plain,
% 7.88/5.87 (v120(constB157) <=> (~(v90(constB157, bitIndex1) | v90(constB157, bitIndex2) | (~v90(constB157, bitIndex0))))),
% 7.88/5.87 inference(unit_resolution,[status(thm)],[16216, 665])).
% 7.88/5.87 tff(16218,plain,
% 7.88/5.87 (nextState(constB156, constB157) <=> nextState(constB156, constB157)),
% 7.88/5.87 inference(rewrite,[status(thm)],[])).
% 7.88/5.87 tff(16219,axiom,(nextState(constB156, constB157)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_156')).
% 7.88/5.87 tff(16220,plain,
% 7.88/5.87 (nextState(constB156, constB157)),
% 7.88/5.87 inference(modus_ponens,[status(thm)],[16219, 16218])).
% 7.88/5.87 tff(16221,plain,
% 7.88/5.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB156, constB157)) | (v100(constB157) <=> (~((~v101(constB157)) | (~v110(constB157))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB156, constB157)) | (v100(constB157) <=> (~((~v101(constB157)) | (~v110(constB157))))))),
% 7.88/5.87 inference(rewrite,[status(thm)],[])).
% 7.88/5.87 tff(16222,plain,
% 7.88/5.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB156, constB157)) | (v100(constB157) <=> (~((~v101(constB157)) | (~v110(constB157))))))),
% 7.88/5.87 inference(quant_inst,[status(thm)],[])).
% 7.88/5.87 tff(16223,plain,
% 7.88/5.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB156, constB157)) | (v100(constB157) <=> (~((~v101(constB157)) | (~v110(constB157)))))),
% 7.88/5.87 inference(modus_ponens,[status(thm)],[16222, 16221])).
% 7.88/5.87 tff(16224,plain,
% 7.88/5.87 (v100(constB157) <=> (~((~v101(constB157)) | (~v110(constB157))))),
% 7.88/5.87 inference(unit_resolution,[status(thm)],[16223, 16220, 445])).
% 7.88/5.87 tff(16225,plain,
% 7.88/5.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB156, constB157)) | (v101(constB157) <=> (~((~v1(constB157)) | (~v102(constB157))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB156, constB157)) | (v101(constB157) <=> (~((~v1(constB157)) | (~v102(constB157))))))),
% 7.88/5.87 inference(rewrite,[status(thm)],[])).
% 7.88/5.87 tff(16226,plain,
% 7.88/5.87 (((~nextState(constB156, constB157)) | (v101(constB157) <=> (~((~v102(constB157)) | (~v1(constB157)))))) <=> ((~nextState(constB156, constB157)) | (v101(constB157) <=> (~((~v1(constB157)) | (~v102(constB157))))))),
% 7.88/5.87 inference(rewrite,[status(thm)],[])).
% 7.88/5.87 tff(16227,plain,
% 7.88/5.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB156, constB157)) | (v101(constB157) <=> (~((~v102(constB157)) | (~v1(constB157))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB156, constB157)) | (v101(constB157) <=> (~((~v1(constB157)) | (~v102(constB157)))))))),
% 7.88/5.87 inference(monotonicity,[status(thm)],[16226])).
% 7.88/5.87 tff(16228,plain,
% 7.88/5.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB156, constB157)) | (v101(constB157) <=> (~((~v102(constB157)) | (~v1(constB157))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB156, constB157)) | (v101(constB157) <=> (~((~v1(constB157)) | (~v102(constB157))))))),
% 7.88/5.87 inference(transitivity,[status(thm)],[16227, 16225])).
% 7.88/5.87 tff(16229,plain,
% 7.88/5.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB156, constB157)) | (v101(constB157) <=> (~((~v102(constB157)) | (~v1(constB157))))))),
% 7.88/5.87 inference(quant_inst,[status(thm)],[])).
% 7.88/5.87 tff(16230,plain,
% 7.88/5.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB156, constB157)) | (v101(constB157) <=> (~((~v1(constB157)) | (~v102(constB157)))))),
% 7.88/5.87 inference(modus_ponens,[status(thm)],[16229, 16228])).
% 7.88/5.87 tff(16231,plain,
% 7.88/5.87 (v101(constB157) <=> (~((~v1(constB157)) | (~v102(constB157))))),
% 7.88/5.87 inference(unit_resolution,[status(thm)],[16230, 16220, 465])).
% 7.88/5.87 tff(16232,plain,
% 7.88/5.87 ((~v1(constB157)) <=> (~v1(constB157))),
% 7.88/5.87 inference(rewrite,[status(thm)],[])).
% 7.88/5.87 tff(16233,axiom,(~v1(constB157)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_157')).
% 7.88/5.87 tff(16234,plain,
% 7.88/5.87 (~v1(constB157)),
% 7.88/5.87 inference(modus_ponens,[status(thm)],[16233, 16232])).
% 7.88/5.87 tff(16235,plain,
% 7.88/5.87 (((~v1(constB157)) | (~v102(constB157))) | v1(constB157)),
% 7.88/5.87 inference(tautology,[status(thm)],[])).
% 7.88/5.87 tff(16236,plain,
% 7.88/5.87 ((~v1(constB157)) | (~v102(constB157))),
% 7.88/5.87 inference(unit_resolution,[status(thm)],[16235, 16234])).
% 7.88/5.87 tff(16237,plain,
% 7.88/5.87 ((~(v101(constB157) <=> (~((~v1(constB157)) | (~v102(constB157)))))) | (~v101(constB157)) | (~((~v1(constB157)) | (~v102(constB157))))),
% 7.88/5.87 inference(tautology,[status(thm)],[])).
% 7.88/5.87 tff(16238,plain,
% 7.88/5.87 ((~(v101(constB157) <=> (~((~v1(constB157)) | (~v102(constB157)))))) | (~v101(constB157))),
% 7.88/5.87 inference(unit_resolution,[status(thm)],[16237, 16236])).
% 7.88/5.87 tff(16239,plain,
% 7.88/5.87 (~v101(constB157)),
% 7.88/5.87 inference(unit_resolution,[status(thm)],[16238, 16231])).
% 7.88/5.87 tff(16240,plain,
% 7.88/5.87 (((~v101(constB157)) | (~v110(constB157))) | v101(constB157)),
% 7.88/5.87 inference(tautology,[status(thm)],[])).
% 7.88/5.87 tff(16241,plain,
% 7.88/5.87 ((~v101(constB157)) | (~v110(constB157))),
% 7.88/5.87 inference(unit_resolution,[status(thm)],[16240, 16239])).
% 7.88/5.87 tff(16242,plain,
% 7.88/5.87 ((~(v100(constB157) <=> (~((~v101(constB157)) | (~v110(constB157)))))) | (~v100(constB157)) | (~((~v101(constB157)) | (~v110(constB157))))),
% 7.88/5.87 inference(tautology,[status(thm)],[])).
% 7.88/5.87 tff(16243,plain,
% 7.88/5.87 (~v100(constB157)),
% 7.88/5.87 inference(unit_resolution,[status(thm)],[16242, 16241, 16224])).
% 7.88/5.87 tff(16244,plain,
% 7.88/5.87 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB157) | (~nextState(constB156, constB157)) | (~(((~v90(constB157, bitIndex1)) <=> v90(constB156, bitIndex1)) | ((~v90(constB157, bitIndex2)) <=> v90(constB156, bitIndex2)) | ((~v90(constB157, bitIndex0)) <=> v90(constB156, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB157) | (~nextState(constB156, constB157)) | (~(((~v90(constB157, bitIndex1)) <=> v90(constB156, bitIndex1)) | ((~v90(constB157, bitIndex2)) <=> v90(constB156, bitIndex2)) | ((~v90(constB157, bitIndex0)) <=> v90(constB156, bitIndex0)))))),
% 7.88/5.87 inference(rewrite,[status(thm)],[])).
% 7.88/5.87 tff(16245,plain,
% 7.88/5.87 ((v100(constB157) | (~nextState(constB156, constB157)) | (~(((~v90(constB157, bitIndex2)) <=> v90(constB156, bitIndex2)) | ((~v90(constB157, bitIndex1)) <=> v90(constB156, bitIndex1)) | ((~v90(constB157, bitIndex0)) <=> v90(constB156, bitIndex0))))) <=> (v100(constB157) | (~nextState(constB156, constB157)) | (~(((~v90(constB157, bitIndex1)) <=> v90(constB156, bitIndex1)) | ((~v90(constB157, bitIndex2)) <=> v90(constB156, bitIndex2)) | ((~v90(constB157, bitIndex0)) <=> v90(constB156, bitIndex0)))))),
% 7.88/5.87 inference(rewrite,[status(thm)],[])).
% 7.88/5.87 tff(16246,plain,
% 7.88/5.87 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB157) | (~nextState(constB156, constB157)) | (~(((~v90(constB157, bitIndex2)) <=> v90(constB156, bitIndex2)) | ((~v90(constB157, bitIndex1)) <=> v90(constB156, bitIndex1)) | ((~v90(constB157, bitIndex0)) <=> v90(constB156, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB157) | (~nextState(constB156, constB157)) | (~(((~v90(constB157, bitIndex1)) <=> v90(constB156, bitIndex1)) | ((~v90(constB157, bitIndex2)) <=> v90(constB156, bitIndex2)) | ((~v90(constB157, bitIndex0)) <=> v90(constB156, bitIndex0))))))),
% 7.88/5.87 inference(monotonicity,[status(thm)],[16245])).
% 7.88/5.87 tff(16247,plain,
% 7.88/5.87 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB157) | (~nextState(constB156, constB157)) | (~(((~v90(constB157, bitIndex2)) <=> v90(constB156, bitIndex2)) | ((~v90(constB157, bitIndex1)) <=> v90(constB156, bitIndex1)) | ((~v90(constB157, bitIndex0)) <=> v90(constB156, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB157) | (~nextState(constB156, constB157)) | (~(((~v90(constB157, bitIndex1)) <=> v90(constB156, bitIndex1)) | ((~v90(constB157, bitIndex2)) <=> v90(constB156, bitIndex2)) | ((~v90(constB157, bitIndex0)) <=> v90(constB156, bitIndex0)))))),
% 7.88/5.87 inference(transitivity,[status(thm)],[16246, 16244])).
% 7.88/5.87 tff(16248,plain,
% 7.88/5.87 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB157) | (~nextState(constB156, constB157)) | (~(((~v90(constB157, bitIndex2)) <=> v90(constB156, bitIndex2)) | ((~v90(constB157, bitIndex1)) <=> v90(constB156, bitIndex1)) | ((~v90(constB157, bitIndex0)) <=> v90(constB156, bitIndex0)))))),
% 7.88/5.88 inference(quant_inst,[status(thm)],[])).
% 7.88/5.88 tff(16249,plain,
% 7.88/5.88 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB157) | (~nextState(constB156, constB157)) | (~(((~v90(constB157, bitIndex1)) <=> v90(constB156, bitIndex1)) | ((~v90(constB157, bitIndex2)) <=> v90(constB156, bitIndex2)) | ((~v90(constB157, bitIndex0)) <=> v90(constB156, bitIndex0))))),
% 7.88/5.88 inference(modus_ponens,[status(thm)],[16248, 16247])).
% 7.88/5.88 tff(16250,plain,
% 7.88/5.88 (v100(constB157) | (~(((~v90(constB157, bitIndex1)) <=> v90(constB156, bitIndex1)) | ((~v90(constB157, bitIndex2)) <=> v90(constB156, bitIndex2)) | ((~v90(constB157, bitIndex0)) <=> v90(constB156, bitIndex0))))),
% 7.88/5.88 inference(unit_resolution,[status(thm)],[16249, 16220, 494])).
% 7.88/5.88 tff(16251,plain,
% 7.88/5.88 (~(((~v90(constB157, bitIndex1)) <=> v90(constB156, bitIndex1)) | ((~v90(constB157, bitIndex2)) <=> v90(constB156, bitIndex2)) | ((~v90(constB157, bitIndex0)) <=> v90(constB156, bitIndex0)))),
% 7.88/5.88 inference(unit_resolution,[status(thm)],[16250, 16243])).
% 7.88/5.88 tff(16252,plain,
% 7.88/5.88 ((((~v90(constB157, bitIndex1)) <=> v90(constB156, bitIndex1)) | ((~v90(constB157, bitIndex2)) <=> v90(constB156, bitIndex2)) | ((~v90(constB157, bitIndex0)) <=> v90(constB156, bitIndex0))) | (~((~v90(constB157, bitIndex2)) <=> v90(constB156, bitIndex2)))),
% 7.88/5.88 inference(tautology,[status(thm)],[])).
% 7.88/5.88 tff(16253,plain,
% 7.88/5.88 (~((~v90(constB157, bitIndex2)) <=> v90(constB156, bitIndex2))),
% 7.88/5.88 inference(unit_resolution,[status(thm)],[16252, 16251])).
% 7.88/5.88 tff(16254,plain,
% 7.88/5.88 (nextState(constB155, constB156) <=> nextState(constB155, constB156)),
% 7.88/5.88 inference(rewrite,[status(thm)],[])).
% 7.88/5.88 tff(16255,axiom,(nextState(constB155, constB156)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_155')).
% 7.88/5.88 tff(16256,plain,
% 7.88/5.88 (nextState(constB155, constB156)),
% 7.88/5.88 inference(modus_ponens,[status(thm)],[16255, 16254])).
% 7.88/5.88 tff(16257,plain,
% 7.88/5.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB155, constB156)) | (~(((~v129(constB156, bitIndex2)) <=> v127(constB155, bitIndex2)) | ((~v129(constB156, bitIndex1)) <=> v127(constB155, bitIndex1)) | ((~v129(constB156, bitIndex0)) <=> v127(constB155, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB155, constB156)) | (~(((~v129(constB156, bitIndex2)) <=> v127(constB155, bitIndex2)) | ((~v129(constB156, bitIndex1)) <=> v127(constB155, bitIndex1)) | ((~v129(constB156, bitIndex0)) <=> v127(constB155, bitIndex0)))))),
% 7.88/5.88 inference(rewrite,[status(thm)],[])).
% 7.88/5.88 tff(16258,plain,
% 7.88/5.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB155, constB156)) | (~(((~v129(constB156, bitIndex2)) <=> v127(constB155, bitIndex2)) | ((~v129(constB156, bitIndex1)) <=> v127(constB155, bitIndex1)) | ((~v129(constB156, bitIndex0)) <=> v127(constB155, bitIndex0)))))),
% 7.88/5.88 inference(quant_inst,[status(thm)],[])).
% 7.88/5.88 tff(16259,plain,
% 7.88/5.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB155, constB156)) | (~(((~v129(constB156, bitIndex2)) <=> v127(constB155, bitIndex2)) | ((~v129(constB156, bitIndex1)) <=> v127(constB155, bitIndex1)) | ((~v129(constB156, bitIndex0)) <=> v127(constB155, bitIndex0))))),
% 7.88/5.88 inference(modus_ponens,[status(thm)],[16258, 16257])).
% 7.88/5.88 tff(16260,plain,
% 7.88/5.88 (~(((~v129(constB156, bitIndex2)) <=> v127(constB155, bitIndex2)) | ((~v129(constB156, bitIndex1)) <=> v127(constB155, bitIndex1)) | ((~v129(constB156, bitIndex0)) <=> v127(constB155, bitIndex0)))),
% 7.88/5.88 inference(unit_resolution,[status(thm)],[16259, 16256, 517])).
% 7.88/5.88 tff(16261,plain,
% 7.88/5.88 ((((~v129(constB156, bitIndex2)) <=> v127(constB155, bitIndex2)) | ((~v129(constB156, bitIndex1)) <=> v127(constB155, bitIndex1)) | ((~v129(constB156, bitIndex0)) <=> v127(constB155, bitIndex0))) | (~((~v129(constB156, bitIndex2)) <=> v127(constB155, bitIndex2)))),
% 7.88/5.88 inference(tautology,[status(thm)],[])).
% 7.88/5.88 tff(16262,plain,
% 7.88/5.88 (~((~v129(constB156, bitIndex2)) <=> v127(constB155, bitIndex2))),
% 7.88/5.88 inference(unit_resolution,[status(thm)],[16261, 16260])).
% 7.88/5.88 tff(16263,plain,
% 7.88/5.88 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB155) <=> v26(constB155))),
% 7.88/5.88 inference(quant_inst,[status(thm)],[])).
% 7.88/5.88 tff(16264,plain,
% 7.88/5.88 (v111(constB155) <=> v26(constB155)),
% 7.88/5.88 inference(unit_resolution,[status(thm)],[16263, 536])).
% 7.88/5.88 tff(16265,plain,
% 7.88/5.88 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB155))),
% 7.88/5.88 inference(quant_inst,[status(thm)],[])).
% 7.88/5.88 tff(16266,plain,
% 7.88/5.88 (~v26(constB155)),
% 7.88/5.88 inference(unit_resolution,[status(thm)],[16265, 548])).
% 7.88/5.88 tff(16267,plain,
% 7.88/5.88 ((~(v111(constB155) <=> v26(constB155))) | (~v111(constB155)) | v26(constB155)),
% 7.88/5.88 inference(tautology,[status(thm)],[])).
% 7.88/5.88 tff(16268,plain,
% 7.88/5.88 ((~(v111(constB155) <=> v26(constB155))) | (~v111(constB155))),
% 7.88/5.88 inference(unit_resolution,[status(thm)],[16267, 16266])).
% 7.88/5.88 tff(16269,plain,
% 7.88/5.88 (~v111(constB155)),
% 7.88/5.88 inference(unit_resolution,[status(thm)],[16268, 16264])).
% 7.88/5.88 tff(16270,plain,
% 7.88/5.88 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB155) | (~(((~v127(constB155, bitIndex2)) <=> v130(constB155, bitIndex2)) | ((~v127(constB155, bitIndex1)) <=> v130(constB155, bitIndex1)) | ((~v127(constB155, bitIndex0)) <=> v130(constB155, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB155) | (~(((~v127(constB155, bitIndex2)) <=> v130(constB155, bitIndex2)) | ((~v127(constB155, bitIndex1)) <=> v130(constB155, bitIndex1)) | ((~v127(constB155, bitIndex0)) <=> v130(constB155, bitIndex0)))))),
% 7.88/5.88 inference(rewrite,[status(thm)],[])).
% 7.88/5.88 tff(16271,plain,
% 7.88/5.88 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB155) | (~(((~v127(constB155, bitIndex2)) <=> v130(constB155, bitIndex2)) | ((~v127(constB155, bitIndex1)) <=> v130(constB155, bitIndex1)) | ((~v127(constB155, bitIndex0)) <=> v130(constB155, bitIndex0)))))),
% 7.88/5.88 inference(quant_inst,[status(thm)],[])).
% 7.88/5.88 tff(16272,plain,
% 7.88/5.88 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB155) | (~(((~v127(constB155, bitIndex2)) <=> v130(constB155, bitIndex2)) | ((~v127(constB155, bitIndex1)) <=> v130(constB155, bitIndex1)) | ((~v127(constB155, bitIndex0)) <=> v130(constB155, bitIndex0))))),
% 7.88/5.88 inference(modus_ponens,[status(thm)],[16271, 16270])).
% 7.88/5.88 tff(16273,plain,
% 7.88/5.88 (v111(constB155) | (~(((~v127(constB155, bitIndex2)) <=> v130(constB155, bitIndex2)) | ((~v127(constB155, bitIndex1)) <=> v130(constB155, bitIndex1)) | ((~v127(constB155, bitIndex0)) <=> v130(constB155, bitIndex0))))),
% 7.88/5.88 inference(unit_resolution,[status(thm)],[16272, 566])).
% 7.88/5.88 tff(16274,plain,
% 7.88/5.88 (~(((~v127(constB155, bitIndex2)) <=> v130(constB155, bitIndex2)) | ((~v127(constB155, bitIndex1)) <=> v130(constB155, bitIndex1)) | ((~v127(constB155, bitIndex0)) <=> v130(constB155, bitIndex0)))),
% 7.88/5.88 inference(unit_resolution,[status(thm)],[16273, 16269])).
% 7.88/5.88 tff(16275,plain,
% 7.88/5.88 ((((~v127(constB155, bitIndex2)) <=> v130(constB155, bitIndex2)) | ((~v127(constB155, bitIndex1)) <=> v130(constB155, bitIndex1)) | ((~v127(constB155, bitIndex0)) <=> v130(constB155, bitIndex0))) | (~((~v127(constB155, bitIndex2)) <=> v130(constB155, bitIndex2)))),
% 7.88/5.88 inference(tautology,[status(thm)],[])).
% 7.88/5.88 tff(16276,plain,
% 7.88/5.88 (~((~v127(constB155, bitIndex2)) <=> v130(constB155, bitIndex2))),
% 7.88/5.88 inference(unit_resolution,[status(thm)],[16275, 16274])).
% 7.88/5.88 tff(16277,plain,
% 7.88/5.88 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB155) <=> (~(v90(constB155, bitIndex1) | v90(constB155, bitIndex2) | (~v90(constB155, bitIndex0)))))),
% 7.88/5.88 inference(quant_inst,[status(thm)],[])).
% 7.88/5.88 tff(16278,plain,
% 7.88/5.88 (v120(constB155) <=> (~(v90(constB155, bitIndex1) | v90(constB155, bitIndex2) | (~v90(constB155, bitIndex0))))),
% 7.88/5.88 inference(unit_resolution,[status(thm)],[16277, 665])).
% 7.88/5.88 tff(16279,plain,
% 7.88/5.88 (nextState(constB154, constB155) <=> nextState(constB154, constB155)),
% 7.88/5.88 inference(rewrite,[status(thm)],[])).
% 7.88/5.88 tff(16280,axiom,(nextState(constB154, constB155)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_154')).
% 7.88/5.88 tff(16281,plain,
% 7.88/5.88 (nextState(constB154, constB155)),
% 7.88/5.88 inference(modus_ponens,[status(thm)],[16280, 16279])).
% 7.88/5.88 tff(16282,plain,
% 7.88/5.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB154, constB155)) | (v100(constB155) <=> (~((~v101(constB155)) | (~v110(constB155))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB154, constB155)) | (v100(constB155) <=> (~((~v101(constB155)) | (~v110(constB155))))))),
% 7.88/5.88 inference(rewrite,[status(thm)],[])).
% 7.88/5.88 tff(16283,plain,
% 7.88/5.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB154, constB155)) | (v100(constB155) <=> (~((~v101(constB155)) | (~v110(constB155))))))),
% 7.88/5.88 inference(quant_inst,[status(thm)],[])).
% 7.88/5.88 tff(16284,plain,
% 7.88/5.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB154, constB155)) | (v100(constB155) <=> (~((~v101(constB155)) | (~v110(constB155)))))),
% 7.88/5.88 inference(modus_ponens,[status(thm)],[16283, 16282])).
% 7.88/5.88 tff(16285,plain,
% 7.88/5.88 (v100(constB155) <=> (~((~v101(constB155)) | (~v110(constB155))))),
% 7.88/5.88 inference(unit_resolution,[status(thm)],[16284, 16281, 445])).
% 7.88/5.88 tff(16286,plain,
% 7.88/5.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB154, constB155)) | (v101(constB155) <=> (~((~v1(constB155)) | (~v102(constB155))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB154, constB155)) | (v101(constB155) <=> (~((~v1(constB155)) | (~v102(constB155))))))),
% 7.88/5.88 inference(rewrite,[status(thm)],[])).
% 7.88/5.88 tff(16287,plain,
% 7.88/5.88 (((~nextState(constB154, constB155)) | (v101(constB155) <=> (~((~v102(constB155)) | (~v1(constB155)))))) <=> ((~nextState(constB154, constB155)) | (v101(constB155) <=> (~((~v1(constB155)) | (~v102(constB155))))))),
% 7.88/5.88 inference(rewrite,[status(thm)],[])).
% 7.88/5.88 tff(16288,plain,
% 7.88/5.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB154, constB155)) | (v101(constB155) <=> (~((~v102(constB155)) | (~v1(constB155))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB154, constB155)) | (v101(constB155) <=> (~((~v1(constB155)) | (~v102(constB155)))))))),
% 7.88/5.88 inference(monotonicity,[status(thm)],[16287])).
% 7.88/5.88 tff(16289,plain,
% 7.88/5.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB154, constB155)) | (v101(constB155) <=> (~((~v102(constB155)) | (~v1(constB155))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB154, constB155)) | (v101(constB155) <=> (~((~v1(constB155)) | (~v102(constB155))))))),
% 7.88/5.88 inference(transitivity,[status(thm)],[16288, 16286])).
% 7.88/5.88 tff(16290,plain,
% 7.88/5.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB154, constB155)) | (v101(constB155) <=> (~((~v102(constB155)) | (~v1(constB155))))))),
% 7.88/5.88 inference(quant_inst,[status(thm)],[])).
% 7.88/5.88 tff(16291,plain,
% 7.88/5.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB154, constB155)) | (v101(constB155) <=> (~((~v1(constB155)) | (~v102(constB155)))))),
% 7.88/5.88 inference(modus_ponens,[status(thm)],[16290, 16289])).
% 7.88/5.88 tff(16292,plain,
% 7.88/5.88 (v101(constB155) <=> (~((~v1(constB155)) | (~v102(constB155))))),
% 7.88/5.88 inference(unit_resolution,[status(thm)],[16291, 16281, 465])).
% 7.88/5.88 tff(16293,plain,
% 7.88/5.88 ((~v1(constB155)) <=> (~v1(constB155))),
% 7.88/5.88 inference(rewrite,[status(thm)],[])).
% 7.88/5.88 tff(16294,axiom,(~v1(constB155)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_155')).
% 7.88/5.88 tff(16295,plain,
% 7.88/5.88 (~v1(constB155)),
% 7.88/5.88 inference(modus_ponens,[status(thm)],[16294, 16293])).
% 7.88/5.88 tff(16296,plain,
% 7.88/5.88 (((~v1(constB155)) | (~v102(constB155))) | v1(constB155)),
% 7.88/5.88 inference(tautology,[status(thm)],[])).
% 7.88/5.88 tff(16297,plain,
% 7.88/5.88 ((~v1(constB155)) | (~v102(constB155))),
% 7.88/5.88 inference(unit_resolution,[status(thm)],[16296, 16295])).
% 7.88/5.88 tff(16298,plain,
% 7.88/5.88 ((~(v101(constB155) <=> (~((~v1(constB155)) | (~v102(constB155)))))) | (~v101(constB155)) | (~((~v1(constB155)) | (~v102(constB155))))),
% 7.88/5.88 inference(tautology,[status(thm)],[])).
% 7.88/5.88 tff(16299,plain,
% 7.88/5.88 ((~(v101(constB155) <=> (~((~v1(constB155)) | (~v102(constB155)))))) | (~v101(constB155))),
% 7.88/5.88 inference(unit_resolution,[status(thm)],[16298, 16297])).
% 7.88/5.88 tff(16300,plain,
% 7.88/5.88 (~v101(constB155)),
% 7.88/5.88 inference(unit_resolution,[status(thm)],[16299, 16292])).
% 7.88/5.88 tff(16301,plain,
% 7.88/5.88 (((~v101(constB155)) | (~v110(constB155))) | v101(constB155)),
% 7.88/5.88 inference(tautology,[status(thm)],[])).
% 7.88/5.88 tff(16302,plain,
% 7.88/5.88 ((~v101(constB155)) | (~v110(constB155))),
% 7.88/5.88 inference(unit_resolution,[status(thm)],[16301, 16300])).
% 7.88/5.88 tff(16303,plain,
% 7.88/5.88 ((~(v100(constB155) <=> (~((~v101(constB155)) | (~v110(constB155)))))) | (~v100(constB155)) | (~((~v101(constB155)) | (~v110(constB155))))),
% 7.88/5.88 inference(tautology,[status(thm)],[])).
% 7.88/5.88 tff(16304,plain,
% 7.88/5.88 (~v100(constB155)),
% 7.88/5.88 inference(unit_resolution,[status(thm)],[16303, 16302, 16285])).
% 7.88/5.88 tff(16305,plain,
% 7.88/5.88 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB155) | (~nextState(constB154, constB155)) | (~(((~v90(constB155, bitIndex1)) <=> v90(constB154, bitIndex1)) | ((~v90(constB155, bitIndex2)) <=> v90(constB154, bitIndex2)) | ((~v90(constB155, bitIndex0)) <=> v90(constB154, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB155) | (~nextState(constB154, constB155)) | (~(((~v90(constB155, bitIndex1)) <=> v90(constB154, bitIndex1)) | ((~v90(constB155, bitIndex2)) <=> v90(constB154, bitIndex2)) | ((~v90(constB155, bitIndex0)) <=> v90(constB154, bitIndex0)))))),
% 7.97/5.88 inference(rewrite,[status(thm)],[])).
% 7.97/5.88 tff(16306,plain,
% 7.97/5.88 ((v100(constB155) | (~nextState(constB154, constB155)) | (~(((~v90(constB155, bitIndex2)) <=> v90(constB154, bitIndex2)) | ((~v90(constB155, bitIndex1)) <=> v90(constB154, bitIndex1)) | ((~v90(constB155, bitIndex0)) <=> v90(constB154, bitIndex0))))) <=> (v100(constB155) | (~nextState(constB154, constB155)) | (~(((~v90(constB155, bitIndex1)) <=> v90(constB154, bitIndex1)) | ((~v90(constB155, bitIndex2)) <=> v90(constB154, bitIndex2)) | ((~v90(constB155, bitIndex0)) <=> v90(constB154, bitIndex0)))))),
% 7.97/5.88 inference(rewrite,[status(thm)],[])).
% 7.97/5.88 tff(16307,plain,
% 7.97/5.88 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB155) | (~nextState(constB154, constB155)) | (~(((~v90(constB155, bitIndex2)) <=> v90(constB154, bitIndex2)) | ((~v90(constB155, bitIndex1)) <=> v90(constB154, bitIndex1)) | ((~v90(constB155, bitIndex0)) <=> v90(constB154, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB155) | (~nextState(constB154, constB155)) | (~(((~v90(constB155, bitIndex1)) <=> v90(constB154, bitIndex1)) | ((~v90(constB155, bitIndex2)) <=> v90(constB154, bitIndex2)) | ((~v90(constB155, bitIndex0)) <=> v90(constB154, bitIndex0))))))),
% 7.97/5.88 inference(monotonicity,[status(thm)],[16306])).
% 7.97/5.88 tff(16308,plain,
% 7.97/5.88 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB155) | (~nextState(constB154, constB155)) | (~(((~v90(constB155, bitIndex2)) <=> v90(constB154, bitIndex2)) | ((~v90(constB155, bitIndex1)) <=> v90(constB154, bitIndex1)) | ((~v90(constB155, bitIndex0)) <=> v90(constB154, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB155) | (~nextState(constB154, constB155)) | (~(((~v90(constB155, bitIndex1)) <=> v90(constB154, bitIndex1)) | ((~v90(constB155, bitIndex2)) <=> v90(constB154, bitIndex2)) | ((~v90(constB155, bitIndex0)) <=> v90(constB154, bitIndex0)))))),
% 7.97/5.88 inference(transitivity,[status(thm)],[16307, 16305])).
% 7.97/5.88 tff(16309,plain,
% 7.97/5.88 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB155) | (~nextState(constB154, constB155)) | (~(((~v90(constB155, bitIndex2)) <=> v90(constB154, bitIndex2)) | ((~v90(constB155, bitIndex1)) <=> v90(constB154, bitIndex1)) | ((~v90(constB155, bitIndex0)) <=> v90(constB154, bitIndex0)))))),
% 7.97/5.88 inference(quant_inst,[status(thm)],[])).
% 7.97/5.88 tff(16310,plain,
% 7.97/5.88 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB155) | (~nextState(constB154, constB155)) | (~(((~v90(constB155, bitIndex1)) <=> v90(constB154, bitIndex1)) | ((~v90(constB155, bitIndex2)) <=> v90(constB154, bitIndex2)) | ((~v90(constB155, bitIndex0)) <=> v90(constB154, bitIndex0))))),
% 7.97/5.88 inference(modus_ponens,[status(thm)],[16309, 16308])).
% 7.97/5.88 tff(16311,plain,
% 7.97/5.88 (v100(constB155) | (~(((~v90(constB155, bitIndex1)) <=> v90(constB154, bitIndex1)) | ((~v90(constB155, bitIndex2)) <=> v90(constB154, bitIndex2)) | ((~v90(constB155, bitIndex0)) <=> v90(constB154, bitIndex0))))),
% 7.97/5.88 inference(unit_resolution,[status(thm)],[16310, 16281, 494])).
% 7.97/5.88 tff(16312,plain,
% 7.97/5.88 (~(((~v90(constB155, bitIndex1)) <=> v90(constB154, bitIndex1)) | ((~v90(constB155, bitIndex2)) <=> v90(constB154, bitIndex2)) | ((~v90(constB155, bitIndex0)) <=> v90(constB154, bitIndex0)))),
% 7.97/5.88 inference(unit_resolution,[status(thm)],[16311, 16304])).
% 7.97/5.88 tff(16313,plain,
% 7.97/5.88 ((((~v90(constB155, bitIndex1)) <=> v90(constB154, bitIndex1)) | ((~v90(constB155, bitIndex2)) <=> v90(constB154, bitIndex2)) | ((~v90(constB155, bitIndex0)) <=> v90(constB154, bitIndex0))) | (~((~v90(constB155, bitIndex0)) <=> v90(constB154, bitIndex0)))),
% 7.97/5.88 inference(tautology,[status(thm)],[])).
% 7.97/5.88 tff(16314,plain,
% 7.97/5.88 (~((~v90(constB155, bitIndex0)) <=> v90(constB154, bitIndex0))),
% 7.97/5.88 inference(unit_resolution,[status(thm)],[16313, 16312])).
% 7.97/5.88 tff(16315,plain,
% 7.97/5.88 (nextState(constB153, constB154) <=> nextState(constB153, constB154)),
% 7.97/5.88 inference(rewrite,[status(thm)],[])).
% 7.97/5.88 tff(16316,axiom,(nextState(constB153, constB154)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_153')).
% 7.97/5.88 tff(16317,plain,
% 7.97/5.88 (nextState(constB153, constB154)),
% 7.97/5.88 inference(modus_ponens,[status(thm)],[16316, 16315])).
% 7.97/5.88 tff(16318,plain,
% 7.97/5.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB153, constB154)) | (~(((~v129(constB154, bitIndex2)) <=> v127(constB153, bitIndex2)) | ((~v129(constB154, bitIndex1)) <=> v127(constB153, bitIndex1)) | ((~v129(constB154, bitIndex0)) <=> v127(constB153, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB153, constB154)) | (~(((~v129(constB154, bitIndex2)) <=> v127(constB153, bitIndex2)) | ((~v129(constB154, bitIndex1)) <=> v127(constB153, bitIndex1)) | ((~v129(constB154, bitIndex0)) <=> v127(constB153, bitIndex0)))))),
% 7.97/5.88 inference(rewrite,[status(thm)],[])).
% 7.97/5.88 tff(16319,plain,
% 7.97/5.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB153, constB154)) | (~(((~v129(constB154, bitIndex2)) <=> v127(constB153, bitIndex2)) | ((~v129(constB154, bitIndex1)) <=> v127(constB153, bitIndex1)) | ((~v129(constB154, bitIndex0)) <=> v127(constB153, bitIndex0)))))),
% 7.97/5.88 inference(quant_inst,[status(thm)],[])).
% 7.97/5.88 tff(16320,plain,
% 7.97/5.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB153, constB154)) | (~(((~v129(constB154, bitIndex2)) <=> v127(constB153, bitIndex2)) | ((~v129(constB154, bitIndex1)) <=> v127(constB153, bitIndex1)) | ((~v129(constB154, bitIndex0)) <=> v127(constB153, bitIndex0))))),
% 7.97/5.88 inference(modus_ponens,[status(thm)],[16319, 16318])).
% 7.97/5.88 tff(16321,plain,
% 7.97/5.88 (~(((~v129(constB154, bitIndex2)) <=> v127(constB153, bitIndex2)) | ((~v129(constB154, bitIndex1)) <=> v127(constB153, bitIndex1)) | ((~v129(constB154, bitIndex0)) <=> v127(constB153, bitIndex0)))),
% 7.97/5.88 inference(unit_resolution,[status(thm)],[16320, 16317, 517])).
% 7.97/5.88 tff(16322,plain,
% 7.97/5.88 ((((~v129(constB154, bitIndex2)) <=> v127(constB153, bitIndex2)) | ((~v129(constB154, bitIndex1)) <=> v127(constB153, bitIndex1)) | ((~v129(constB154, bitIndex0)) <=> v127(constB153, bitIndex0))) | (~((~v129(constB154, bitIndex0)) <=> v127(constB153, bitIndex0)))),
% 7.97/5.88 inference(tautology,[status(thm)],[])).
% 7.97/5.88 tff(16323,plain,
% 7.97/5.88 (~((~v129(constB154, bitIndex0)) <=> v127(constB153, bitIndex0))),
% 7.97/5.88 inference(unit_resolution,[status(thm)],[16322, 16321])).
% 7.97/5.88 tff(16324,plain,
% 7.97/5.88 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB153) <=> v26(constB153))),
% 7.97/5.88 inference(quant_inst,[status(thm)],[])).
% 7.97/5.88 tff(16325,plain,
% 7.97/5.88 (v111(constB153) <=> v26(constB153)),
% 7.97/5.88 inference(unit_resolution,[status(thm)],[16324, 536])).
% 7.97/5.88 tff(16326,plain,
% 7.97/5.88 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB153))),
% 7.97/5.88 inference(quant_inst,[status(thm)],[])).
% 7.97/5.88 tff(16327,plain,
% 7.97/5.88 (~v26(constB153)),
% 7.97/5.88 inference(unit_resolution,[status(thm)],[16326, 548])).
% 7.97/5.88 tff(16328,plain,
% 7.97/5.88 ((~(v111(constB153) <=> v26(constB153))) | (~v111(constB153)) | v26(constB153)),
% 7.97/5.88 inference(tautology,[status(thm)],[])).
% 7.97/5.88 tff(16329,plain,
% 7.97/5.88 ((~(v111(constB153) <=> v26(constB153))) | (~v111(constB153))),
% 7.97/5.88 inference(unit_resolution,[status(thm)],[16328, 16327])).
% 7.97/5.88 tff(16330,plain,
% 7.97/5.88 (~v111(constB153)),
% 7.97/5.88 inference(unit_resolution,[status(thm)],[16329, 16325])).
% 7.97/5.88 tff(16331,plain,
% 7.97/5.88 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB153) | (~(((~v127(constB153, bitIndex2)) <=> v130(constB153, bitIndex2)) | ((~v127(constB153, bitIndex1)) <=> v130(constB153, bitIndex1)) | ((~v127(constB153, bitIndex0)) <=> v130(constB153, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB153) | (~(((~v127(constB153, bitIndex2)) <=> v130(constB153, bitIndex2)) | ((~v127(constB153, bitIndex1)) <=> v130(constB153, bitIndex1)) | ((~v127(constB153, bitIndex0)) <=> v130(constB153, bitIndex0)))))),
% 7.97/5.89 inference(rewrite,[status(thm)],[])).
% 7.97/5.89 tff(16332,plain,
% 7.97/5.89 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB153) | (~(((~v127(constB153, bitIndex2)) <=> v130(constB153, bitIndex2)) | ((~v127(constB153, bitIndex1)) <=> v130(constB153, bitIndex1)) | ((~v127(constB153, bitIndex0)) <=> v130(constB153, bitIndex0)))))),
% 7.97/5.89 inference(quant_inst,[status(thm)],[])).
% 7.97/5.89 tff(16333,plain,
% 7.97/5.89 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB153) | (~(((~v127(constB153, bitIndex2)) <=> v130(constB153, bitIndex2)) | ((~v127(constB153, bitIndex1)) <=> v130(constB153, bitIndex1)) | ((~v127(constB153, bitIndex0)) <=> v130(constB153, bitIndex0))))),
% 7.97/5.89 inference(modus_ponens,[status(thm)],[16332, 16331])).
% 7.97/5.89 tff(16334,plain,
% 7.97/5.89 (v111(constB153) | (~(((~v127(constB153, bitIndex2)) <=> v130(constB153, bitIndex2)) | ((~v127(constB153, bitIndex1)) <=> v130(constB153, bitIndex1)) | ((~v127(constB153, bitIndex0)) <=> v130(constB153, bitIndex0))))),
% 7.97/5.89 inference(unit_resolution,[status(thm)],[16333, 566])).
% 7.97/5.89 tff(16335,plain,
% 7.97/5.89 (~(((~v127(constB153, bitIndex2)) <=> v130(constB153, bitIndex2)) | ((~v127(constB153, bitIndex1)) <=> v130(constB153, bitIndex1)) | ((~v127(constB153, bitIndex0)) <=> v130(constB153, bitIndex0)))),
% 7.97/5.89 inference(unit_resolution,[status(thm)],[16334, 16330])).
% 7.97/5.89 tff(16336,plain,
% 7.97/5.89 ((((~v127(constB153, bitIndex2)) <=> v130(constB153, bitIndex2)) | ((~v127(constB153, bitIndex1)) <=> v130(constB153, bitIndex1)) | ((~v127(constB153, bitIndex0)) <=> v130(constB153, bitIndex0))) | (~((~v127(constB153, bitIndex0)) <=> v130(constB153, bitIndex0)))),
% 7.97/5.89 inference(tautology,[status(thm)],[])).
% 7.97/5.89 tff(16337,plain,
% 7.97/5.89 (~((~v127(constB153, bitIndex0)) <=> v130(constB153, bitIndex0))),
% 7.97/5.89 inference(unit_resolution,[status(thm)],[16336, 16335])).
% 7.97/5.89 tff(16338,plain,
% 7.97/5.89 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB153) <=> (~(v90(constB153, bitIndex1) | v90(constB153, bitIndex0) | (~v90(constB153, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB153) <=> (~(v90(constB153, bitIndex1) | v90(constB153, bitIndex0) | (~v90(constB153, bitIndex2))))))),
% 7.97/5.89 inference(rewrite,[status(thm)],[])).
% 7.97/5.89 tff(16339,plain,
% 7.97/5.89 ((v123(constB153) <=> (~(v90(constB153, bitIndex0) | v90(constB153, bitIndex1) | (~v90(constB153, bitIndex2))))) <=> (v123(constB153) <=> (~(v90(constB153, bitIndex1) | v90(constB153, bitIndex0) | (~v90(constB153, bitIndex2)))))),
% 7.97/5.89 inference(rewrite,[status(thm)],[])).
% 7.97/5.89 tff(16340,plain,
% 7.97/5.89 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB153) <=> (~(v90(constB153, bitIndex0) | v90(constB153, bitIndex1) | (~v90(constB153, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB153) <=> (~(v90(constB153, bitIndex1) | v90(constB153, bitIndex0) | (~v90(constB153, bitIndex2))))))),
% 7.97/5.89 inference(monotonicity,[status(thm)],[16339])).
% 7.97/5.89 tff(16341,plain,
% 7.97/5.89 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB153) <=> (~(v90(constB153, bitIndex0) | v90(constB153, bitIndex1) | (~v90(constB153, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB153) <=> (~(v90(constB153, bitIndex1) | v90(constB153, bitIndex0) | (~v90(constB153, bitIndex2))))))),
% 7.97/5.89 inference(transitivity,[status(thm)],[16340, 16338])).
% 7.97/5.89 tff(16342,plain,
% 7.97/5.89 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB153) <=> (~(v90(constB153, bitIndex0) | v90(constB153, bitIndex1) | (~v90(constB153, bitIndex2)))))),
% 7.97/5.89 inference(quant_inst,[status(thm)],[])).
% 7.97/5.89 tff(16343,plain,
% 7.97/5.89 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB153) <=> (~(v90(constB153, bitIndex1) | v90(constB153, bitIndex0) | (~v90(constB153, bitIndex2)))))),
% 7.97/5.89 inference(modus_ponens,[status(thm)],[16342, 16341])).
% 7.97/5.89 tff(16344,plain,
% 7.97/5.89 (v123(constB153) <=> (~(v90(constB153, bitIndex1) | v90(constB153, bitIndex0) | (~v90(constB153, bitIndex2))))),
% 7.97/5.89 inference(unit_resolution,[status(thm)],[16343, 800])).
% 7.97/5.89 tff(16345,plain,
% 7.97/5.89 (nextState(constB152, constB153) <=> nextState(constB152, constB153)),
% 7.97/5.89 inference(rewrite,[status(thm)],[])).
% 7.97/5.89 tff(16346,axiom,(nextState(constB152, constB153)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_152')).
% 7.97/5.89 tff(16347,plain,
% 7.97/5.89 (nextState(constB152, constB153)),
% 7.97/5.89 inference(modus_ponens,[status(thm)],[16346, 16345])).
% 7.97/5.89 tff(16348,plain,
% 7.97/5.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB152, constB153)) | (v100(constB153) <=> (~((~v101(constB153)) | (~v110(constB153))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB152, constB153)) | (v100(constB153) <=> (~((~v101(constB153)) | (~v110(constB153))))))),
% 7.97/5.89 inference(rewrite,[status(thm)],[])).
% 7.97/5.89 tff(16349,plain,
% 7.97/5.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB152, constB153)) | (v100(constB153) <=> (~((~v101(constB153)) | (~v110(constB153))))))),
% 7.97/5.89 inference(quant_inst,[status(thm)],[])).
% 7.97/5.89 tff(16350,plain,
% 7.97/5.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB152, constB153)) | (v100(constB153) <=> (~((~v101(constB153)) | (~v110(constB153)))))),
% 7.97/5.89 inference(modus_ponens,[status(thm)],[16349, 16348])).
% 7.97/5.89 tff(16351,plain,
% 7.97/5.89 (v100(constB153) <=> (~((~v101(constB153)) | (~v110(constB153))))),
% 7.97/5.89 inference(unit_resolution,[status(thm)],[16350, 16347, 445])).
% 7.97/5.89 tff(16352,plain,
% 7.97/5.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB152, constB153)) | (v101(constB153) <=> (~((~v1(constB153)) | (~v102(constB153))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB152, constB153)) | (v101(constB153) <=> (~((~v1(constB153)) | (~v102(constB153))))))),
% 7.97/5.89 inference(rewrite,[status(thm)],[])).
% 7.97/5.89 tff(16353,plain,
% 7.97/5.89 (((~nextState(constB152, constB153)) | (v101(constB153) <=> (~((~v102(constB153)) | (~v1(constB153)))))) <=> ((~nextState(constB152, constB153)) | (v101(constB153) <=> (~((~v1(constB153)) | (~v102(constB153))))))),
% 7.97/5.89 inference(rewrite,[status(thm)],[])).
% 7.97/5.89 tff(16354,plain,
% 7.97/5.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB152, constB153)) | (v101(constB153) <=> (~((~v102(constB153)) | (~v1(constB153))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB152, constB153)) | (v101(constB153) <=> (~((~v1(constB153)) | (~v102(constB153)))))))),
% 7.97/5.89 inference(monotonicity,[status(thm)],[16353])).
% 7.97/5.89 tff(16355,plain,
% 7.97/5.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB152, constB153)) | (v101(constB153) <=> (~((~v102(constB153)) | (~v1(constB153))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB152, constB153)) | (v101(constB153) <=> (~((~v1(constB153)) | (~v102(constB153))))))),
% 7.97/5.89 inference(transitivity,[status(thm)],[16354, 16352])).
% 7.97/5.89 tff(16356,plain,
% 7.97/5.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB152, constB153)) | (v101(constB153) <=> (~((~v102(constB153)) | (~v1(constB153))))))),
% 7.97/5.89 inference(quant_inst,[status(thm)],[])).
% 7.97/5.89 tff(16357,plain,
% 7.97/5.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB152, constB153)) | (v101(constB153) <=> (~((~v1(constB153)) | (~v102(constB153)))))),
% 7.97/5.89 inference(modus_ponens,[status(thm)],[16356, 16355])).
% 7.97/5.89 tff(16358,plain,
% 7.97/5.89 (v101(constB153) <=> (~((~v1(constB153)) | (~v102(constB153))))),
% 7.97/5.89 inference(unit_resolution,[status(thm)],[16357, 16347, 465])).
% 7.97/5.89 tff(16359,plain,
% 7.97/5.89 ((~v1(constB153)) <=> (~v1(constB153))),
% 7.97/5.89 inference(rewrite,[status(thm)],[])).
% 7.97/5.89 tff(16360,axiom,(~v1(constB153)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_153')).
% 7.97/5.89 tff(16361,plain,
% 7.97/5.89 (~v1(constB153)),
% 7.97/5.89 inference(modus_ponens,[status(thm)],[16360, 16359])).
% 7.97/5.89 tff(16362,plain,
% 7.97/5.89 (((~v1(constB153)) | (~v102(constB153))) | v1(constB153)),
% 7.97/5.89 inference(tautology,[status(thm)],[])).
% 7.97/5.89 tff(16363,plain,
% 7.97/5.89 ((~v1(constB153)) | (~v102(constB153))),
% 7.97/5.89 inference(unit_resolution,[status(thm)],[16362, 16361])).
% 7.97/5.89 tff(16364,plain,
% 7.97/5.89 ((~(v101(constB153) <=> (~((~v1(constB153)) | (~v102(constB153)))))) | (~v101(constB153)) | (~((~v1(constB153)) | (~v102(constB153))))),
% 7.97/5.89 inference(tautology,[status(thm)],[])).
% 7.97/5.89 tff(16365,plain,
% 7.97/5.89 ((~(v101(constB153) <=> (~((~v1(constB153)) | (~v102(constB153)))))) | (~v101(constB153))),
% 7.97/5.89 inference(unit_resolution,[status(thm)],[16364, 16363])).
% 7.97/5.89 tff(16366,plain,
% 7.97/5.89 (~v101(constB153)),
% 7.97/5.89 inference(unit_resolution,[status(thm)],[16365, 16358])).
% 7.97/5.89 tff(16367,plain,
% 7.97/5.89 (((~v101(constB153)) | (~v110(constB153))) | v101(constB153)),
% 7.97/5.89 inference(tautology,[status(thm)],[])).
% 7.97/5.89 tff(16368,plain,
% 7.97/5.89 ((~v101(constB153)) | (~v110(constB153))),
% 7.97/5.89 inference(unit_resolution,[status(thm)],[16367, 16366])).
% 7.97/5.89 tff(16369,plain,
% 7.97/5.89 ((~(v100(constB153) <=> (~((~v101(constB153)) | (~v110(constB153)))))) | (~v100(constB153)) | (~((~v101(constB153)) | (~v110(constB153))))),
% 7.97/5.89 inference(tautology,[status(thm)],[])).
% 7.97/5.89 tff(16370,plain,
% 7.97/5.89 (~v100(constB153)),
% 7.97/5.89 inference(unit_resolution,[status(thm)],[16369, 16368, 16351])).
% 7.97/5.89 tff(16371,plain,
% 7.97/5.89 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB153) | (~nextState(constB152, constB153)) | (~(((~v90(constB153, bitIndex1)) <=> v90(constB152, bitIndex1)) | ((~v90(constB153, bitIndex2)) <=> v90(constB152, bitIndex2)) | ((~v90(constB153, bitIndex0)) <=> v90(constB152, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB153) | (~nextState(constB152, constB153)) | (~(((~v90(constB153, bitIndex1)) <=> v90(constB152, bitIndex1)) | ((~v90(constB153, bitIndex2)) <=> v90(constB152, bitIndex2)) | ((~v90(constB153, bitIndex0)) <=> v90(constB152, bitIndex0)))))),
% 7.97/5.89 inference(rewrite,[status(thm)],[])).
% 7.97/5.89 tff(16372,plain,
% 7.97/5.89 ((v100(constB153) | (~nextState(constB152, constB153)) | (~(((~v90(constB153, bitIndex2)) <=> v90(constB152, bitIndex2)) | ((~v90(constB153, bitIndex1)) <=> v90(constB152, bitIndex1)) | ((~v90(constB153, bitIndex0)) <=> v90(constB152, bitIndex0))))) <=> (v100(constB153) | (~nextState(constB152, constB153)) | (~(((~v90(constB153, bitIndex1)) <=> v90(constB152, bitIndex1)) | ((~v90(constB153, bitIndex2)) <=> v90(constB152, bitIndex2)) | ((~v90(constB153, bitIndex0)) <=> v90(constB152, bitIndex0)))))),
% 7.97/5.89 inference(rewrite,[status(thm)],[])).
% 7.97/5.89 tff(16373,plain,
% 7.97/5.89 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB153) | (~nextState(constB152, constB153)) | (~(((~v90(constB153, bitIndex2)) <=> v90(constB152, bitIndex2)) | ((~v90(constB153, bitIndex1)) <=> v90(constB152, bitIndex1)) | ((~v90(constB153, bitIndex0)) <=> v90(constB152, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB153) | (~nextState(constB152, constB153)) | (~(((~v90(constB153, bitIndex1)) <=> v90(constB152, bitIndex1)) | ((~v90(constB153, bitIndex2)) <=> v90(constB152, bitIndex2)) | ((~v90(constB153, bitIndex0)) <=> v90(constB152, bitIndex0))))))),
% 7.97/5.89 inference(monotonicity,[status(thm)],[16372])).
% 7.97/5.89 tff(16374,plain,
% 7.97/5.89 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB153) | (~nextState(constB152, constB153)) | (~(((~v90(constB153, bitIndex2)) <=> v90(constB152, bitIndex2)) | ((~v90(constB153, bitIndex1)) <=> v90(constB152, bitIndex1)) | ((~v90(constB153, bitIndex0)) <=> v90(constB152, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB153) | (~nextState(constB152, constB153)) | (~(((~v90(constB153, bitIndex1)) <=> v90(constB152, bitIndex1)) | ((~v90(constB153, bitIndex2)) <=> v90(constB152, bitIndex2)) | ((~v90(constB153, bitIndex0)) <=> v90(constB152, bitIndex0)))))),
% 7.97/5.89 inference(transitivity,[status(thm)],[16373, 16371])).
% 7.97/5.89 tff(16375,plain,
% 7.97/5.89 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB153) | (~nextState(constB152, constB153)) | (~(((~v90(constB153, bitIndex2)) <=> v90(constB152, bitIndex2)) | ((~v90(constB153, bitIndex1)) <=> v90(constB152, bitIndex1)) | ((~v90(constB153, bitIndex0)) <=> v90(constB152, bitIndex0)))))),
% 7.97/5.89 inference(quant_inst,[status(thm)],[])).
% 7.97/5.89 tff(16376,plain,
% 7.97/5.89 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB153) | (~nextState(constB152, constB153)) | (~(((~v90(constB153, bitIndex1)) <=> v90(constB152, bitIndex1)) | ((~v90(constB153, bitIndex2)) <=> v90(constB152, bitIndex2)) | ((~v90(constB153, bitIndex0)) <=> v90(constB152, bitIndex0))))),
% 7.97/5.89 inference(modus_ponens,[status(thm)],[16375, 16374])).
% 7.97/5.89 tff(16377,plain,
% 7.97/5.89 (v100(constB153) | (~(((~v90(constB153, bitIndex1)) <=> v90(constB152, bitIndex1)) | ((~v90(constB153, bitIndex2)) <=> v90(constB152, bitIndex2)) | ((~v90(constB153, bitIndex0)) <=> v90(constB152, bitIndex0))))),
% 7.97/5.89 inference(unit_resolution,[status(thm)],[16376, 16347, 494])).
% 7.97/5.89 tff(16378,plain,
% 7.97/5.89 (~(((~v90(constB153, bitIndex1)) <=> v90(constB152, bitIndex1)) | ((~v90(constB153, bitIndex2)) <=> v90(constB152, bitIndex2)) | ((~v90(constB153, bitIndex0)) <=> v90(constB152, bitIndex0)))),
% 7.97/5.89 inference(unit_resolution,[status(thm)],[16377, 16370])).
% 7.97/5.89 tff(16379,plain,
% 7.97/5.89 ((((~v90(constB153, bitIndex1)) <=> v90(constB152, bitIndex1)) | ((~v90(constB153, bitIndex2)) <=> v90(constB152, bitIndex2)) | ((~v90(constB153, bitIndex0)) <=> v90(constB152, bitIndex0))) | (~((~v90(constB153, bitIndex2)) <=> v90(constB152, bitIndex2)))),
% 7.97/5.89 inference(tautology,[status(thm)],[])).
% 7.97/5.89 tff(16380,plain,
% 7.97/5.89 (~((~v90(constB153, bitIndex2)) <=> v90(constB152, bitIndex2))),
% 7.97/5.89 inference(unit_resolution,[status(thm)],[16379, 16378])).
% 7.97/5.89 tff(16381,plain,
% 7.97/5.89 (nextState(constB151, constB152) <=> nextState(constB151, constB152)),
% 7.97/5.89 inference(rewrite,[status(thm)],[])).
% 7.97/5.89 tff(16382,axiom,(nextState(constB151, constB152)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_151')).
% 7.97/5.89 tff(16383,plain,
% 7.97/5.89 (nextState(constB151, constB152)),
% 7.97/5.89 inference(modus_ponens,[status(thm)],[16382, 16381])).
% 7.97/5.89 tff(16384,plain,
% 7.97/5.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB151, constB152)) | (~(((~v129(constB152, bitIndex2)) <=> v127(constB151, bitIndex2)) | ((~v129(constB152, bitIndex1)) <=> v127(constB151, bitIndex1)) | ((~v129(constB152, bitIndex0)) <=> v127(constB151, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB151, constB152)) | (~(((~v129(constB152, bitIndex2)) <=> v127(constB151, bitIndex2)) | ((~v129(constB152, bitIndex1)) <=> v127(constB151, bitIndex1)) | ((~v129(constB152, bitIndex0)) <=> v127(constB151, bitIndex0)))))),
% 7.97/5.89 inference(rewrite,[status(thm)],[])).
% 7.97/5.89 tff(16385,plain,
% 7.97/5.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB151, constB152)) | (~(((~v129(constB152, bitIndex2)) <=> v127(constB151, bitIndex2)) | ((~v129(constB152, bitIndex1)) <=> v127(constB151, bitIndex1)) | ((~v129(constB152, bitIndex0)) <=> v127(constB151, bitIndex0)))))),
% 7.97/5.89 inference(quant_inst,[status(thm)],[])).
% 7.97/5.89 tff(16386,plain,
% 7.97/5.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB151, constB152)) | (~(((~v129(constB152, bitIndex2)) <=> v127(constB151, bitIndex2)) | ((~v129(constB152, bitIndex1)) <=> v127(constB151, bitIndex1)) | ((~v129(constB152, bitIndex0)) <=> v127(constB151, bitIndex0))))),
% 7.97/5.89 inference(modus_ponens,[status(thm)],[16385, 16384])).
% 7.97/5.89 tff(16387,plain,
% 7.97/5.89 (~(((~v129(constB152, bitIndex2)) <=> v127(constB151, bitIndex2)) | ((~v129(constB152, bitIndex1)) <=> v127(constB151, bitIndex1)) | ((~v129(constB152, bitIndex0)) <=> v127(constB151, bitIndex0)))),
% 7.97/5.89 inference(unit_resolution,[status(thm)],[16386, 16383, 517])).
% 7.97/5.89 tff(16388,plain,
% 7.97/5.89 ((((~v129(constB152, bitIndex2)) <=> v127(constB151, bitIndex2)) | ((~v129(constB152, bitIndex1)) <=> v127(constB151, bitIndex1)) | ((~v129(constB152, bitIndex0)) <=> v127(constB151, bitIndex0))) | (~((~v129(constB152, bitIndex2)) <=> v127(constB151, bitIndex2)))),
% 7.97/5.89 inference(tautology,[status(thm)],[])).
% 7.97/5.89 tff(16389,plain,
% 7.97/5.89 (~((~v129(constB152, bitIndex2)) <=> v127(constB151, bitIndex2))),
% 7.97/5.89 inference(unit_resolution,[status(thm)],[16388, 16387])).
% 7.97/5.89 tff(16390,plain,
% 7.97/5.89 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB151) <=> v26(constB151))),
% 7.97/5.89 inference(quant_inst,[status(thm)],[])).
% 7.97/5.89 tff(16391,plain,
% 7.97/5.89 (v111(constB151) <=> v26(constB151)),
% 7.97/5.89 inference(unit_resolution,[status(thm)],[16390, 536])).
% 7.97/5.89 tff(16392,plain,
% 7.97/5.89 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB151))),
% 7.97/5.89 inference(quant_inst,[status(thm)],[])).
% 7.97/5.89 tff(16393,plain,
% 7.97/5.89 (~v26(constB151)),
% 7.97/5.89 inference(unit_resolution,[status(thm)],[16392, 548])).
% 7.97/5.89 tff(16394,plain,
% 7.97/5.89 ((~(v111(constB151) <=> v26(constB151))) | (~v111(constB151)) | v26(constB151)),
% 7.97/5.89 inference(tautology,[status(thm)],[])).
% 7.97/5.89 tff(16395,plain,
% 7.97/5.89 ((~(v111(constB151) <=> v26(constB151))) | (~v111(constB151))),
% 7.97/5.89 inference(unit_resolution,[status(thm)],[16394, 16393])).
% 7.97/5.89 tff(16396,plain,
% 7.97/5.89 (~v111(constB151)),
% 7.97/5.89 inference(unit_resolution,[status(thm)],[16395, 16391])).
% 7.97/5.89 tff(16397,plain,
% 7.97/5.89 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB151) | (~(((~v127(constB151, bitIndex2)) <=> v130(constB151, bitIndex2)) | ((~v127(constB151, bitIndex1)) <=> v130(constB151, bitIndex1)) | ((~v127(constB151, bitIndex0)) <=> v130(constB151, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB151) | (~(((~v127(constB151, bitIndex2)) <=> v130(constB151, bitIndex2)) | ((~v127(constB151, bitIndex1)) <=> v130(constB151, bitIndex1)) | ((~v127(constB151, bitIndex0)) <=> v130(constB151, bitIndex0)))))),
% 7.97/5.89 inference(rewrite,[status(thm)],[])).
% 7.97/5.89 tff(16398,plain,
% 7.97/5.89 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB151) | (~(((~v127(constB151, bitIndex2)) <=> v130(constB151, bitIndex2)) | ((~v127(constB151, bitIndex1)) <=> v130(constB151, bitIndex1)) | ((~v127(constB151, bitIndex0)) <=> v130(constB151, bitIndex0)))))),
% 7.97/5.89 inference(quant_inst,[status(thm)],[])).
% 7.97/5.89 tff(16399,plain,
% 7.97/5.89 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB151) | (~(((~v127(constB151, bitIndex2)) <=> v130(constB151, bitIndex2)) | ((~v127(constB151, bitIndex1)) <=> v130(constB151, bitIndex1)) | ((~v127(constB151, bitIndex0)) <=> v130(constB151, bitIndex0))))),
% 7.97/5.89 inference(modus_ponens,[status(thm)],[16398, 16397])).
% 7.97/5.89 tff(16400,plain,
% 7.97/5.89 (v111(constB151) | (~(((~v127(constB151, bitIndex2)) <=> v130(constB151, bitIndex2)) | ((~v127(constB151, bitIndex1)) <=> v130(constB151, bitIndex1)) | ((~v127(constB151, bitIndex0)) <=> v130(constB151, bitIndex0))))),
% 7.97/5.89 inference(unit_resolution,[status(thm)],[16399, 566])).
% 7.97/5.89 tff(16401,plain,
% 7.97/5.89 (~(((~v127(constB151, bitIndex2)) <=> v130(constB151, bitIndex2)) | ((~v127(constB151, bitIndex1)) <=> v130(constB151, bitIndex1)) | ((~v127(constB151, bitIndex0)) <=> v130(constB151, bitIndex0)))),
% 7.97/5.89 inference(unit_resolution,[status(thm)],[16400, 16396])).
% 7.97/5.89 tff(16402,plain,
% 7.97/5.89 ((((~v127(constB151, bitIndex2)) <=> v130(constB151, bitIndex2)) | ((~v127(constB151, bitIndex1)) <=> v130(constB151, bitIndex1)) | ((~v127(constB151, bitIndex0)) <=> v130(constB151, bitIndex0))) | (~((~v127(constB151, bitIndex2)) <=> v130(constB151, bitIndex2)))),
% 7.97/5.89 inference(tautology,[status(thm)],[])).
% 7.97/5.89 tff(16403,plain,
% 7.97/5.89 (~((~v127(constB151, bitIndex2)) <=> v130(constB151, bitIndex2))),
% 7.97/5.89 inference(unit_resolution,[status(thm)],[16402, 16401])).
% 7.97/5.89 tff(16404,plain,
% 7.97/5.89 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB151) <=> (~(v90(constB151, bitIndex2) | (~v90(constB151, bitIndex1)) | (~v90(constB151, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB151) <=> (~(v90(constB151, bitIndex2) | (~v90(constB151, bitIndex1)) | (~v90(constB151, bitIndex0))))))),
% 7.97/5.89 inference(rewrite,[status(thm)],[])).
% 7.97/5.89 tff(16405,plain,
% 7.97/5.89 ((v122(constB151) <=> (~(v90(constB151, bitIndex2) | (~v90(constB151, bitIndex0)) | (~v90(constB151, bitIndex1))))) <=> (v122(constB151) <=> (~(v90(constB151, bitIndex2) | (~v90(constB151, bitIndex1)) | (~v90(constB151, bitIndex0)))))),
% 7.97/5.89 inference(rewrite,[status(thm)],[])).
% 7.97/5.89 tff(16406,plain,
% 7.97/5.89 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB151) <=> (~(v90(constB151, bitIndex2) | (~v90(constB151, bitIndex0)) | (~v90(constB151, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB151) <=> (~(v90(constB151, bitIndex2) | (~v90(constB151, bitIndex1)) | (~v90(constB151, bitIndex0))))))),
% 7.97/5.89 inference(monotonicity,[status(thm)],[16405])).
% 7.97/5.89 tff(16407,plain,
% 7.97/5.89 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB151) <=> (~(v90(constB151, bitIndex2) | (~v90(constB151, bitIndex0)) | (~v90(constB151, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB151) <=> (~(v90(constB151, bitIndex2) | (~v90(constB151, bitIndex1)) | (~v90(constB151, bitIndex0))))))),
% 7.97/5.90 inference(transitivity,[status(thm)],[16406, 16404])).
% 7.97/5.90 tff(16408,plain,
% 7.97/5.90 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB151) <=> (~(v90(constB151, bitIndex2) | (~v90(constB151, bitIndex0)) | (~v90(constB151, bitIndex1)))))),
% 7.97/5.90 inference(quant_inst,[status(thm)],[])).
% 7.97/5.90 tff(16409,plain,
% 7.97/5.90 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB151) <=> (~(v90(constB151, bitIndex2) | (~v90(constB151, bitIndex1)) | (~v90(constB151, bitIndex0)))))),
% 7.97/5.90 inference(modus_ponens,[status(thm)],[16408, 16407])).
% 7.97/5.90 tff(16410,plain,
% 7.97/5.90 (v122(constB151) <=> (~(v90(constB151, bitIndex2) | (~v90(constB151, bitIndex1)) | (~v90(constB151, bitIndex0))))),
% 7.97/5.90 inference(unit_resolution,[status(thm)],[16409, 879])).
% 7.97/5.90 tff(16411,plain,
% 7.97/5.90 (nextState(constB150, constB151) <=> nextState(constB150, constB151)),
% 7.97/5.90 inference(rewrite,[status(thm)],[])).
% 7.97/5.90 tff(16412,axiom,(nextState(constB150, constB151)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_150')).
% 7.97/5.90 tff(16413,plain,
% 7.97/5.90 (nextState(constB150, constB151)),
% 7.97/5.90 inference(modus_ponens,[status(thm)],[16412, 16411])).
% 7.97/5.90 tff(16414,plain,
% 7.97/5.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB150, constB151)) | (v100(constB151) <=> (~((~v101(constB151)) | (~v110(constB151))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB150, constB151)) | (v100(constB151) <=> (~((~v101(constB151)) | (~v110(constB151))))))),
% 7.97/5.90 inference(rewrite,[status(thm)],[])).
% 7.97/5.90 tff(16415,plain,
% 7.97/5.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB150, constB151)) | (v100(constB151) <=> (~((~v101(constB151)) | (~v110(constB151))))))),
% 7.97/5.90 inference(quant_inst,[status(thm)],[])).
% 7.97/5.90 tff(16416,plain,
% 7.97/5.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB150, constB151)) | (v100(constB151) <=> (~((~v101(constB151)) | (~v110(constB151)))))),
% 7.97/5.90 inference(modus_ponens,[status(thm)],[16415, 16414])).
% 7.97/5.90 tff(16417,plain,
% 7.97/5.90 (v100(constB151) <=> (~((~v101(constB151)) | (~v110(constB151))))),
% 7.97/5.90 inference(unit_resolution,[status(thm)],[16416, 16413, 445])).
% 7.97/5.90 tff(16418,plain,
% 7.97/5.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB150, constB151)) | (v101(constB151) <=> (~((~v1(constB151)) | (~v102(constB151))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB150, constB151)) | (v101(constB151) <=> (~((~v1(constB151)) | (~v102(constB151))))))),
% 7.97/5.90 inference(rewrite,[status(thm)],[])).
% 7.97/5.90 tff(16419,plain,
% 7.97/5.90 (((~nextState(constB150, constB151)) | (v101(constB151) <=> (~((~v102(constB151)) | (~v1(constB151)))))) <=> ((~nextState(constB150, constB151)) | (v101(constB151) <=> (~((~v1(constB151)) | (~v102(constB151))))))),
% 7.97/5.90 inference(rewrite,[status(thm)],[])).
% 7.97/5.90 tff(16420,plain,
% 7.97/5.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB150, constB151)) | (v101(constB151) <=> (~((~v102(constB151)) | (~v1(constB151))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB150, constB151)) | (v101(constB151) <=> (~((~v1(constB151)) | (~v102(constB151)))))))),
% 7.97/5.90 inference(monotonicity,[status(thm)],[16419])).
% 7.97/5.90 tff(16421,plain,
% 7.97/5.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB150, constB151)) | (v101(constB151) <=> (~((~v102(constB151)) | (~v1(constB151))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB150, constB151)) | (v101(constB151) <=> (~((~v1(constB151)) | (~v102(constB151))))))),
% 7.97/5.90 inference(transitivity,[status(thm)],[16420, 16418])).
% 7.97/5.90 tff(16422,plain,
% 7.97/5.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB150, constB151)) | (v101(constB151) <=> (~((~v102(constB151)) | (~v1(constB151))))))),
% 7.97/5.90 inference(quant_inst,[status(thm)],[])).
% 7.97/5.90 tff(16423,plain,
% 7.97/5.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB150, constB151)) | (v101(constB151) <=> (~((~v1(constB151)) | (~v102(constB151)))))),
% 7.97/5.90 inference(modus_ponens,[status(thm)],[16422, 16421])).
% 7.97/5.90 tff(16424,plain,
% 7.97/5.90 (v101(constB151) <=> (~((~v1(constB151)) | (~v102(constB151))))),
% 7.97/5.90 inference(unit_resolution,[status(thm)],[16423, 16413, 465])).
% 7.97/5.90 tff(16425,plain,
% 7.97/5.90 ((~v1(constB151)) <=> (~v1(constB151))),
% 7.97/5.90 inference(rewrite,[status(thm)],[])).
% 7.97/5.90 tff(16426,axiom,(~v1(constB151)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_151')).
% 7.97/5.90 tff(16427,plain,
% 7.97/5.90 (~v1(constB151)),
% 7.97/5.90 inference(modus_ponens,[status(thm)],[16426, 16425])).
% 7.97/5.90 tff(16428,plain,
% 7.97/5.90 (((~v1(constB151)) | (~v102(constB151))) | v1(constB151)),
% 7.97/5.90 inference(tautology,[status(thm)],[])).
% 7.97/5.90 tff(16429,plain,
% 7.97/5.90 ((~v1(constB151)) | (~v102(constB151))),
% 7.97/5.90 inference(unit_resolution,[status(thm)],[16428, 16427])).
% 7.97/5.90 tff(16430,plain,
% 7.97/5.90 ((~(v101(constB151) <=> (~((~v1(constB151)) | (~v102(constB151)))))) | (~v101(constB151)) | (~((~v1(constB151)) | (~v102(constB151))))),
% 7.97/5.90 inference(tautology,[status(thm)],[])).
% 7.97/5.90 tff(16431,plain,
% 7.97/5.90 ((~(v101(constB151) <=> (~((~v1(constB151)) | (~v102(constB151)))))) | (~v101(constB151))),
% 7.97/5.90 inference(unit_resolution,[status(thm)],[16430, 16429])).
% 7.97/5.90 tff(16432,plain,
% 7.97/5.90 (~v101(constB151)),
% 7.97/5.90 inference(unit_resolution,[status(thm)],[16431, 16424])).
% 7.97/5.90 tff(16433,plain,
% 7.97/5.90 (((~v101(constB151)) | (~v110(constB151))) | v101(constB151)),
% 7.97/5.90 inference(tautology,[status(thm)],[])).
% 7.97/5.90 tff(16434,plain,
% 7.97/5.90 ((~v101(constB151)) | (~v110(constB151))),
% 7.97/5.90 inference(unit_resolution,[status(thm)],[16433, 16432])).
% 7.97/5.90 tff(16435,plain,
% 7.97/5.90 ((~(v100(constB151) <=> (~((~v101(constB151)) | (~v110(constB151)))))) | (~v100(constB151)) | (~((~v101(constB151)) | (~v110(constB151))))),
% 7.97/5.90 inference(tautology,[status(thm)],[])).
% 7.97/5.90 tff(16436,plain,
% 7.97/5.90 (~v100(constB151)),
% 7.97/5.90 inference(unit_resolution,[status(thm)],[16435, 16434, 16417])).
% 7.97/5.90 tff(16437,plain,
% 7.97/5.90 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB151) | (~nextState(constB150, constB151)) | (~(((~v90(constB151, bitIndex1)) <=> v90(constB150, bitIndex1)) | ((~v90(constB151, bitIndex2)) <=> v90(constB150, bitIndex2)) | ((~v90(constB151, bitIndex0)) <=> v90(constB150, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB151) | (~nextState(constB150, constB151)) | (~(((~v90(constB151, bitIndex1)) <=> v90(constB150, bitIndex1)) | ((~v90(constB151, bitIndex2)) <=> v90(constB150, bitIndex2)) | ((~v90(constB151, bitIndex0)) <=> v90(constB150, bitIndex0)))))),
% 7.97/5.90 inference(rewrite,[status(thm)],[])).
% 7.97/5.90 tff(16438,plain,
% 7.97/5.90 ((v100(constB151) | (~nextState(constB150, constB151)) | (~(((~v90(constB151, bitIndex2)) <=> v90(constB150, bitIndex2)) | ((~v90(constB151, bitIndex1)) <=> v90(constB150, bitIndex1)) | ((~v90(constB151, bitIndex0)) <=> v90(constB150, bitIndex0))))) <=> (v100(constB151) | (~nextState(constB150, constB151)) | (~(((~v90(constB151, bitIndex1)) <=> v90(constB150, bitIndex1)) | ((~v90(constB151, bitIndex2)) <=> v90(constB150, bitIndex2)) | ((~v90(constB151, bitIndex0)) <=> v90(constB150, bitIndex0)))))),
% 7.97/5.90 inference(rewrite,[status(thm)],[])).
% 7.97/5.90 tff(16439,plain,
% 7.97/5.90 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB151) | (~nextState(constB150, constB151)) | (~(((~v90(constB151, bitIndex2)) <=> v90(constB150, bitIndex2)) | ((~v90(constB151, bitIndex1)) <=> v90(constB150, bitIndex1)) | ((~v90(constB151, bitIndex0)) <=> v90(constB150, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB151) | (~nextState(constB150, constB151)) | (~(((~v90(constB151, bitIndex1)) <=> v90(constB150, bitIndex1)) | ((~v90(constB151, bitIndex2)) <=> v90(constB150, bitIndex2)) | ((~v90(constB151, bitIndex0)) <=> v90(constB150, bitIndex0))))))),
% 7.97/5.90 inference(monotonicity,[status(thm)],[16438])).
% 7.97/5.90 tff(16440,plain,
% 7.97/5.90 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB151) | (~nextState(constB150, constB151)) | (~(((~v90(constB151, bitIndex2)) <=> v90(constB150, bitIndex2)) | ((~v90(constB151, bitIndex1)) <=> v90(constB150, bitIndex1)) | ((~v90(constB151, bitIndex0)) <=> v90(constB150, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB151) | (~nextState(constB150, constB151)) | (~(((~v90(constB151, bitIndex1)) <=> v90(constB150, bitIndex1)) | ((~v90(constB151, bitIndex2)) <=> v90(constB150, bitIndex2)) | ((~v90(constB151, bitIndex0)) <=> v90(constB150, bitIndex0)))))),
% 7.97/5.90 inference(transitivity,[status(thm)],[16439, 16437])).
% 7.97/5.90 tff(16441,plain,
% 7.97/5.90 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB151) | (~nextState(constB150, constB151)) | (~(((~v90(constB151, bitIndex2)) <=> v90(constB150, bitIndex2)) | ((~v90(constB151, bitIndex1)) <=> v90(constB150, bitIndex1)) | ((~v90(constB151, bitIndex0)) <=> v90(constB150, bitIndex0)))))),
% 7.97/5.90 inference(quant_inst,[status(thm)],[])).
% 7.97/5.90 tff(16442,plain,
% 7.97/5.90 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB151) | (~nextState(constB150, constB151)) | (~(((~v90(constB151, bitIndex1)) <=> v90(constB150, bitIndex1)) | ((~v90(constB151, bitIndex2)) <=> v90(constB150, bitIndex2)) | ((~v90(constB151, bitIndex0)) <=> v90(constB150, bitIndex0))))),
% 7.97/5.90 inference(modus_ponens,[status(thm)],[16441, 16440])).
% 7.99/5.90 tff(16443,plain,
% 7.99/5.90 (v100(constB151) | (~(((~v90(constB151, bitIndex1)) <=> v90(constB150, bitIndex1)) | ((~v90(constB151, bitIndex2)) <=> v90(constB150, bitIndex2)) | ((~v90(constB151, bitIndex0)) <=> v90(constB150, bitIndex0))))),
% 7.99/5.90 inference(unit_resolution,[status(thm)],[16442, 16413, 494])).
% 7.99/5.90 tff(16444,plain,
% 7.99/5.90 (~(((~v90(constB151, bitIndex1)) <=> v90(constB150, bitIndex1)) | ((~v90(constB151, bitIndex2)) <=> v90(constB150, bitIndex2)) | ((~v90(constB151, bitIndex0)) <=> v90(constB150, bitIndex0)))),
% 7.99/5.90 inference(unit_resolution,[status(thm)],[16443, 16436])).
% 7.99/5.90 tff(16445,plain,
% 7.99/5.90 ((((~v90(constB151, bitIndex1)) <=> v90(constB150, bitIndex1)) | ((~v90(constB151, bitIndex2)) <=> v90(constB150, bitIndex2)) | ((~v90(constB151, bitIndex0)) <=> v90(constB150, bitIndex0))) | (~((~v90(constB151, bitIndex2)) <=> v90(constB150, bitIndex2)))),
% 7.99/5.90 inference(tautology,[status(thm)],[])).
% 7.99/5.90 tff(16446,plain,
% 7.99/5.90 (~((~v90(constB151, bitIndex2)) <=> v90(constB150, bitIndex2))),
% 7.99/5.90 inference(unit_resolution,[status(thm)],[16445, 16444])).
% 7.99/5.90 tff(16447,plain,
% 7.99/5.90 (nextState(constB149, constB150) <=> nextState(constB149, constB150)),
% 7.99/5.90 inference(rewrite,[status(thm)],[])).
% 7.99/5.90 tff(16448,axiom,(nextState(constB149, constB150)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_149')).
% 7.99/5.90 tff(16449,plain,
% 7.99/5.90 (nextState(constB149, constB150)),
% 7.99/5.90 inference(modus_ponens,[status(thm)],[16448, 16447])).
% 7.99/5.90 tff(16450,plain,
% 7.99/5.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB149, constB150)) | (~(((~v129(constB150, bitIndex2)) <=> v127(constB149, bitIndex2)) | ((~v129(constB150, bitIndex1)) <=> v127(constB149, bitIndex1)) | ((~v129(constB150, bitIndex0)) <=> v127(constB149, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB149, constB150)) | (~(((~v129(constB150, bitIndex2)) <=> v127(constB149, bitIndex2)) | ((~v129(constB150, bitIndex1)) <=> v127(constB149, bitIndex1)) | ((~v129(constB150, bitIndex0)) <=> v127(constB149, bitIndex0)))))),
% 7.99/5.90 inference(rewrite,[status(thm)],[])).
% 7.99/5.90 tff(16451,plain,
% 7.99/5.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB149, constB150)) | (~(((~v129(constB150, bitIndex2)) <=> v127(constB149, bitIndex2)) | ((~v129(constB150, bitIndex1)) <=> v127(constB149, bitIndex1)) | ((~v129(constB150, bitIndex0)) <=> v127(constB149, bitIndex0)))))),
% 7.99/5.90 inference(quant_inst,[status(thm)],[])).
% 7.99/5.90 tff(16452,plain,
% 7.99/5.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB149, constB150)) | (~(((~v129(constB150, bitIndex2)) <=> v127(constB149, bitIndex2)) | ((~v129(constB150, bitIndex1)) <=> v127(constB149, bitIndex1)) | ((~v129(constB150, bitIndex0)) <=> v127(constB149, bitIndex0))))),
% 7.99/5.90 inference(modus_ponens,[status(thm)],[16451, 16450])).
% 7.99/5.90 tff(16453,plain,
% 7.99/5.90 (~(((~v129(constB150, bitIndex2)) <=> v127(constB149, bitIndex2)) | ((~v129(constB150, bitIndex1)) <=> v127(constB149, bitIndex1)) | ((~v129(constB150, bitIndex0)) <=> v127(constB149, bitIndex0)))),
% 7.99/5.90 inference(unit_resolution,[status(thm)],[16452, 16449, 517])).
% 7.99/5.90 tff(16454,plain,
% 7.99/5.90 ((((~v129(constB150, bitIndex2)) <=> v127(constB149, bitIndex2)) | ((~v129(constB150, bitIndex1)) <=> v127(constB149, bitIndex1)) | ((~v129(constB150, bitIndex0)) <=> v127(constB149, bitIndex0))) | (~((~v129(constB150, bitIndex2)) <=> v127(constB149, bitIndex2)))),
% 7.99/5.90 inference(tautology,[status(thm)],[])).
% 7.99/5.90 tff(16455,plain,
% 7.99/5.90 (~((~v129(constB150, bitIndex2)) <=> v127(constB149, bitIndex2))),
% 7.99/5.90 inference(unit_resolution,[status(thm)],[16454, 16453])).
% 7.99/5.90 tff(16456,plain,
% 7.99/5.90 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB149) <=> v26(constB149))),
% 7.99/5.90 inference(quant_inst,[status(thm)],[])).
% 7.99/5.90 tff(16457,plain,
% 7.99/5.90 (v111(constB149) <=> v26(constB149)),
% 7.99/5.90 inference(unit_resolution,[status(thm)],[16456, 536])).
% 7.99/5.90 tff(16458,plain,
% 7.99/5.90 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB149))),
% 7.99/5.90 inference(quant_inst,[status(thm)],[])).
% 7.99/5.90 tff(16459,plain,
% 7.99/5.90 (~v26(constB149)),
% 7.99/5.90 inference(unit_resolution,[status(thm)],[16458, 548])).
% 7.99/5.90 tff(16460,plain,
% 7.99/5.90 ((~(v111(constB149) <=> v26(constB149))) | (~v111(constB149)) | v26(constB149)),
% 7.99/5.90 inference(tautology,[status(thm)],[])).
% 7.99/5.90 tff(16461,plain,
% 7.99/5.90 ((~(v111(constB149) <=> v26(constB149))) | (~v111(constB149))),
% 7.99/5.90 inference(unit_resolution,[status(thm)],[16460, 16459])).
% 7.99/5.90 tff(16462,plain,
% 7.99/5.90 (~v111(constB149)),
% 7.99/5.90 inference(unit_resolution,[status(thm)],[16461, 16457])).
% 7.99/5.90 tff(16463,plain,
% 7.99/5.90 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB149) | (~(((~v127(constB149, bitIndex2)) <=> v130(constB149, bitIndex2)) | ((~v127(constB149, bitIndex1)) <=> v130(constB149, bitIndex1)) | ((~v127(constB149, bitIndex0)) <=> v130(constB149, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB149) | (~(((~v127(constB149, bitIndex2)) <=> v130(constB149, bitIndex2)) | ((~v127(constB149, bitIndex1)) <=> v130(constB149, bitIndex1)) | ((~v127(constB149, bitIndex0)) <=> v130(constB149, bitIndex0)))))),
% 7.99/5.90 inference(rewrite,[status(thm)],[])).
% 7.99/5.90 tff(16464,plain,
% 7.99/5.90 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB149) | (~(((~v127(constB149, bitIndex2)) <=> v130(constB149, bitIndex2)) | ((~v127(constB149, bitIndex1)) <=> v130(constB149, bitIndex1)) | ((~v127(constB149, bitIndex0)) <=> v130(constB149, bitIndex0)))))),
% 7.99/5.90 inference(quant_inst,[status(thm)],[])).
% 7.99/5.90 tff(16465,plain,
% 7.99/5.90 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB149) | (~(((~v127(constB149, bitIndex2)) <=> v130(constB149, bitIndex2)) | ((~v127(constB149, bitIndex1)) <=> v130(constB149, bitIndex1)) | ((~v127(constB149, bitIndex0)) <=> v130(constB149, bitIndex0))))),
% 7.99/5.90 inference(modus_ponens,[status(thm)],[16464, 16463])).
% 7.99/5.90 tff(16466,plain,
% 7.99/5.90 (v111(constB149) | (~(((~v127(constB149, bitIndex2)) <=> v130(constB149, bitIndex2)) | ((~v127(constB149, bitIndex1)) <=> v130(constB149, bitIndex1)) | ((~v127(constB149, bitIndex0)) <=> v130(constB149, bitIndex0))))),
% 7.99/5.90 inference(unit_resolution,[status(thm)],[16465, 566])).
% 7.99/5.90 tff(16467,plain,
% 7.99/5.90 (~(((~v127(constB149, bitIndex2)) <=> v130(constB149, bitIndex2)) | ((~v127(constB149, bitIndex1)) <=> v130(constB149, bitIndex1)) | ((~v127(constB149, bitIndex0)) <=> v130(constB149, bitIndex0)))),
% 7.99/5.90 inference(unit_resolution,[status(thm)],[16466, 16462])).
% 7.99/5.90 tff(16468,plain,
% 7.99/5.90 ((((~v127(constB149, bitIndex2)) <=> v130(constB149, bitIndex2)) | ((~v127(constB149, bitIndex1)) <=> v130(constB149, bitIndex1)) | ((~v127(constB149, bitIndex0)) <=> v130(constB149, bitIndex0))) | (~((~v127(constB149, bitIndex2)) <=> v130(constB149, bitIndex2)))),
% 7.99/5.90 inference(tautology,[status(thm)],[])).
% 7.99/5.90 tff(16469,plain,
% 7.99/5.90 (~((~v127(constB149, bitIndex2)) <=> v130(constB149, bitIndex2))),
% 7.99/5.90 inference(unit_resolution,[status(thm)],[16468, 16467])).
% 7.99/5.90 tff(16470,plain,
% 7.99/5.90 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB149) <=> (~(v90(constB149, bitIndex2) | v90(constB149, bitIndex0) | (~v90(constB149, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB149) <=> (~(v90(constB149, bitIndex2) | v90(constB149, bitIndex0) | (~v90(constB149, bitIndex1))))))),
% 7.99/5.90 inference(rewrite,[status(thm)],[])).
% 7.99/5.90 tff(16471,plain,
% 7.99/5.90 ((v121(constB149) <=> (~(v90(constB149, bitIndex0) | v90(constB149, bitIndex2) | (~v90(constB149, bitIndex1))))) <=> (v121(constB149) <=> (~(v90(constB149, bitIndex2) | v90(constB149, bitIndex0) | (~v90(constB149, bitIndex1)))))),
% 7.99/5.90 inference(rewrite,[status(thm)],[])).
% 7.99/5.90 tff(16472,plain,
% 7.99/5.90 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB149) <=> (~(v90(constB149, bitIndex0) | v90(constB149, bitIndex2) | (~v90(constB149, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB149) <=> (~(v90(constB149, bitIndex2) | v90(constB149, bitIndex0) | (~v90(constB149, bitIndex1))))))),
% 7.99/5.90 inference(monotonicity,[status(thm)],[16471])).
% 7.99/5.90 tff(16473,plain,
% 7.99/5.90 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB149) <=> (~(v90(constB149, bitIndex0) | v90(constB149, bitIndex2) | (~v90(constB149, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB149) <=> (~(v90(constB149, bitIndex2) | v90(constB149, bitIndex0) | (~v90(constB149, bitIndex1))))))),
% 7.99/5.90 inference(transitivity,[status(thm)],[16472, 16470])).
% 7.99/5.90 tff(16474,plain,
% 7.99/5.90 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB149) <=> (~(v90(constB149, bitIndex0) | v90(constB149, bitIndex2) | (~v90(constB149, bitIndex1)))))),
% 7.99/5.90 inference(quant_inst,[status(thm)],[])).
% 7.99/5.90 tff(16475,plain,
% 7.99/5.90 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB149) <=> (~(v90(constB149, bitIndex2) | v90(constB149, bitIndex0) | (~v90(constB149, bitIndex1)))))),
% 7.99/5.90 inference(modus_ponens,[status(thm)],[16474, 16473])).
% 7.99/5.90 tff(16476,plain,
% 7.99/5.90 (v121(constB149) <=> (~(v90(constB149, bitIndex2) | v90(constB149, bitIndex0) | (~v90(constB149, bitIndex1))))),
% 7.99/5.90 inference(unit_resolution,[status(thm)],[16475, 586])).
% 7.99/5.90 tff(16477,plain,
% 7.99/5.90 (nextState(constB148, constB149) <=> nextState(constB148, constB149)),
% 7.99/5.90 inference(rewrite,[status(thm)],[])).
% 7.99/5.90 tff(16478,axiom,(nextState(constB148, constB149)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_148')).
% 7.99/5.90 tff(16479,plain,
% 7.99/5.90 (nextState(constB148, constB149)),
% 7.99/5.90 inference(modus_ponens,[status(thm)],[16478, 16477])).
% 7.99/5.90 tff(16480,plain,
% 7.99/5.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB148, constB149)) | (v100(constB149) <=> (~((~v101(constB149)) | (~v110(constB149))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB148, constB149)) | (v100(constB149) <=> (~((~v101(constB149)) | (~v110(constB149))))))),
% 7.99/5.90 inference(rewrite,[status(thm)],[])).
% 7.99/5.90 tff(16481,plain,
% 7.99/5.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB148, constB149)) | (v100(constB149) <=> (~((~v101(constB149)) | (~v110(constB149))))))),
% 7.99/5.90 inference(quant_inst,[status(thm)],[])).
% 7.99/5.90 tff(16482,plain,
% 7.99/5.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB148, constB149)) | (v100(constB149) <=> (~((~v101(constB149)) | (~v110(constB149)))))),
% 7.99/5.90 inference(modus_ponens,[status(thm)],[16481, 16480])).
% 7.99/5.90 tff(16483,plain,
% 7.99/5.90 (v100(constB149) <=> (~((~v101(constB149)) | (~v110(constB149))))),
% 7.99/5.90 inference(unit_resolution,[status(thm)],[16482, 16479, 445])).
% 7.99/5.90 tff(16484,plain,
% 7.99/5.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB148, constB149)) | (v101(constB149) <=> (~((~v1(constB149)) | (~v102(constB149))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB148, constB149)) | (v101(constB149) <=> (~((~v1(constB149)) | (~v102(constB149))))))),
% 7.99/5.90 inference(rewrite,[status(thm)],[])).
% 7.99/5.90 tff(16485,plain,
% 7.99/5.90 (((~nextState(constB148, constB149)) | (v101(constB149) <=> (~((~v102(constB149)) | (~v1(constB149)))))) <=> ((~nextState(constB148, constB149)) | (v101(constB149) <=> (~((~v1(constB149)) | (~v102(constB149))))))),
% 7.99/5.90 inference(rewrite,[status(thm)],[])).
% 7.99/5.90 tff(16486,plain,
% 7.99/5.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB148, constB149)) | (v101(constB149) <=> (~((~v102(constB149)) | (~v1(constB149))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB148, constB149)) | (v101(constB149) <=> (~((~v1(constB149)) | (~v102(constB149)))))))),
% 7.99/5.90 inference(monotonicity,[status(thm)],[16485])).
% 7.99/5.90 tff(16487,plain,
% 7.99/5.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB148, constB149)) | (v101(constB149) <=> (~((~v102(constB149)) | (~v1(constB149))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB148, constB149)) | (v101(constB149) <=> (~((~v1(constB149)) | (~v102(constB149))))))),
% 7.99/5.90 inference(transitivity,[status(thm)],[16486, 16484])).
% 7.99/5.90 tff(16488,plain,
% 7.99/5.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB148, constB149)) | (v101(constB149) <=> (~((~v102(constB149)) | (~v1(constB149))))))),
% 7.99/5.90 inference(quant_inst,[status(thm)],[])).
% 7.99/5.90 tff(16489,plain,
% 7.99/5.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB148, constB149)) | (v101(constB149) <=> (~((~v1(constB149)) | (~v102(constB149)))))),
% 7.99/5.90 inference(modus_ponens,[status(thm)],[16488, 16487])).
% 7.99/5.90 tff(16490,plain,
% 7.99/5.90 (v101(constB149) <=> (~((~v1(constB149)) | (~v102(constB149))))),
% 7.99/5.90 inference(unit_resolution,[status(thm)],[16489, 16479, 465])).
% 7.99/5.90 tff(16491,plain,
% 7.99/5.90 ((~v1(constB149)) <=> (~v1(constB149))),
% 7.99/5.90 inference(rewrite,[status(thm)],[])).
% 7.99/5.90 tff(16492,axiom,(~v1(constB149)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_149')).
% 7.99/5.90 tff(16493,plain,
% 7.99/5.90 (~v1(constB149)),
% 7.99/5.90 inference(modus_ponens,[status(thm)],[16492, 16491])).
% 7.99/5.90 tff(16494,plain,
% 7.99/5.90 (((~v1(constB149)) | (~v102(constB149))) | v1(constB149)),
% 7.99/5.90 inference(tautology,[status(thm)],[])).
% 7.99/5.90 tff(16495,plain,
% 7.99/5.90 ((~v1(constB149)) | (~v102(constB149))),
% 7.99/5.90 inference(unit_resolution,[status(thm)],[16494, 16493])).
% 7.99/5.90 tff(16496,plain,
% 7.99/5.90 ((~(v101(constB149) <=> (~((~v1(constB149)) | (~v102(constB149)))))) | (~v101(constB149)) | (~((~v1(constB149)) | (~v102(constB149))))),
% 7.99/5.90 inference(tautology,[status(thm)],[])).
% 7.99/5.90 tff(16497,plain,
% 7.99/5.90 ((~(v101(constB149) <=> (~((~v1(constB149)) | (~v102(constB149)))))) | (~v101(constB149))),
% 7.99/5.91 inference(unit_resolution,[status(thm)],[16496, 16495])).
% 7.99/5.91 tff(16498,plain,
% 7.99/5.91 (~v101(constB149)),
% 7.99/5.91 inference(unit_resolution,[status(thm)],[16497, 16490])).
% 7.99/5.91 tff(16499,plain,
% 7.99/5.91 (((~v101(constB149)) | (~v110(constB149))) | v101(constB149)),
% 7.99/5.91 inference(tautology,[status(thm)],[])).
% 7.99/5.91 tff(16500,plain,
% 7.99/5.91 ((~v101(constB149)) | (~v110(constB149))),
% 7.99/5.91 inference(unit_resolution,[status(thm)],[16499, 16498])).
% 7.99/5.91 tff(16501,plain,
% 7.99/5.91 ((~(v100(constB149) <=> (~((~v101(constB149)) | (~v110(constB149)))))) | (~v100(constB149)) | (~((~v101(constB149)) | (~v110(constB149))))),
% 7.99/5.91 inference(tautology,[status(thm)],[])).
% 7.99/5.91 tff(16502,plain,
% 7.99/5.91 (~v100(constB149)),
% 7.99/5.91 inference(unit_resolution,[status(thm)],[16501, 16500, 16483])).
% 7.99/5.91 tff(16503,plain,
% 7.99/5.91 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB149) | (~nextState(constB148, constB149)) | (~(((~v90(constB149, bitIndex1)) <=> v90(constB148, bitIndex1)) | ((~v90(constB149, bitIndex2)) <=> v90(constB148, bitIndex2)) | ((~v90(constB149, bitIndex0)) <=> v90(constB148, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB149) | (~nextState(constB148, constB149)) | (~(((~v90(constB149, bitIndex1)) <=> v90(constB148, bitIndex1)) | ((~v90(constB149, bitIndex2)) <=> v90(constB148, bitIndex2)) | ((~v90(constB149, bitIndex0)) <=> v90(constB148, bitIndex0)))))),
% 7.99/5.91 inference(rewrite,[status(thm)],[])).
% 7.99/5.91 tff(16504,plain,
% 7.99/5.91 ((v100(constB149) | (~nextState(constB148, constB149)) | (~(((~v90(constB149, bitIndex2)) <=> v90(constB148, bitIndex2)) | ((~v90(constB149, bitIndex1)) <=> v90(constB148, bitIndex1)) | ((~v90(constB149, bitIndex0)) <=> v90(constB148, bitIndex0))))) <=> (v100(constB149) | (~nextState(constB148, constB149)) | (~(((~v90(constB149, bitIndex1)) <=> v90(constB148, bitIndex1)) | ((~v90(constB149, bitIndex2)) <=> v90(constB148, bitIndex2)) | ((~v90(constB149, bitIndex0)) <=> v90(constB148, bitIndex0)))))),
% 7.99/5.91 inference(rewrite,[status(thm)],[])).
% 7.99/5.91 tff(16505,plain,
% 7.99/5.91 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB149) | (~nextState(constB148, constB149)) | (~(((~v90(constB149, bitIndex2)) <=> v90(constB148, bitIndex2)) | ((~v90(constB149, bitIndex1)) <=> v90(constB148, bitIndex1)) | ((~v90(constB149, bitIndex0)) <=> v90(constB148, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB149) | (~nextState(constB148, constB149)) | (~(((~v90(constB149, bitIndex1)) <=> v90(constB148, bitIndex1)) | ((~v90(constB149, bitIndex2)) <=> v90(constB148, bitIndex2)) | ((~v90(constB149, bitIndex0)) <=> v90(constB148, bitIndex0))))))),
% 7.99/5.91 inference(monotonicity,[status(thm)],[16504])).
% 7.99/5.91 tff(16506,plain,
% 7.99/5.91 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB149) | (~nextState(constB148, constB149)) | (~(((~v90(constB149, bitIndex2)) <=> v90(constB148, bitIndex2)) | ((~v90(constB149, bitIndex1)) <=> v90(constB148, bitIndex1)) | ((~v90(constB149, bitIndex0)) <=> v90(constB148, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB149) | (~nextState(constB148, constB149)) | (~(((~v90(constB149, bitIndex1)) <=> v90(constB148, bitIndex1)) | ((~v90(constB149, bitIndex2)) <=> v90(constB148, bitIndex2)) | ((~v90(constB149, bitIndex0)) <=> v90(constB148, bitIndex0)))))),
% 7.99/5.91 inference(transitivity,[status(thm)],[16505, 16503])).
% 7.99/5.91 tff(16507,plain,
% 7.99/5.91 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB149) | (~nextState(constB148, constB149)) | (~(((~v90(constB149, bitIndex2)) <=> v90(constB148, bitIndex2)) | ((~v90(constB149, bitIndex1)) <=> v90(constB148, bitIndex1)) | ((~v90(constB149, bitIndex0)) <=> v90(constB148, bitIndex0)))))),
% 7.99/5.91 inference(quant_inst,[status(thm)],[])).
% 7.99/5.91 tff(16508,plain,
% 7.99/5.91 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB149) | (~nextState(constB148, constB149)) | (~(((~v90(constB149, bitIndex1)) <=> v90(constB148, bitIndex1)) | ((~v90(constB149, bitIndex2)) <=> v90(constB148, bitIndex2)) | ((~v90(constB149, bitIndex0)) <=> v90(constB148, bitIndex0))))),
% 7.99/5.91 inference(modus_ponens,[status(thm)],[16507, 16506])).
% 7.99/5.91 tff(16509,plain,
% 7.99/5.91 (v100(constB149) | (~(((~v90(constB149, bitIndex1)) <=> v90(constB148, bitIndex1)) | ((~v90(constB149, bitIndex2)) <=> v90(constB148, bitIndex2)) | ((~v90(constB149, bitIndex0)) <=> v90(constB148, bitIndex0))))),
% 7.99/5.91 inference(unit_resolution,[status(thm)],[16508, 16479, 494])).
% 7.99/5.91 tff(16510,plain,
% 7.99/5.91 (~(((~v90(constB149, bitIndex1)) <=> v90(constB148, bitIndex1)) | ((~v90(constB149, bitIndex2)) <=> v90(constB148, bitIndex2)) | ((~v90(constB149, bitIndex0)) <=> v90(constB148, bitIndex0)))),
% 7.99/5.91 inference(unit_resolution,[status(thm)],[16509, 16502])).
% 7.99/5.91 tff(16511,plain,
% 7.99/5.91 ((((~v90(constB149, bitIndex1)) <=> v90(constB148, bitIndex1)) | ((~v90(constB149, bitIndex2)) <=> v90(constB148, bitIndex2)) | ((~v90(constB149, bitIndex0)) <=> v90(constB148, bitIndex0))) | (~((~v90(constB149, bitIndex2)) <=> v90(constB148, bitIndex2)))),
% 7.99/5.91 inference(tautology,[status(thm)],[])).
% 7.99/5.91 tff(16512,plain,
% 7.99/5.91 (~((~v90(constB149, bitIndex2)) <=> v90(constB148, bitIndex2))),
% 7.99/5.91 inference(unit_resolution,[status(thm)],[16511, 16510])).
% 7.99/5.91 tff(16513,plain,
% 7.99/5.91 (nextState(constB147, constB148) <=> nextState(constB147, constB148)),
% 7.99/5.91 inference(rewrite,[status(thm)],[])).
% 7.99/5.91 tff(16514,axiom,(nextState(constB147, constB148)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_147')).
% 7.99/5.91 tff(16515,plain,
% 7.99/5.91 (nextState(constB147, constB148)),
% 7.99/5.91 inference(modus_ponens,[status(thm)],[16514, 16513])).
% 7.99/5.91 tff(16516,plain,
% 7.99/5.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB147, constB148)) | (~(((~v129(constB148, bitIndex2)) <=> v127(constB147, bitIndex2)) | ((~v129(constB148, bitIndex1)) <=> v127(constB147, bitIndex1)) | ((~v129(constB148, bitIndex0)) <=> v127(constB147, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB147, constB148)) | (~(((~v129(constB148, bitIndex2)) <=> v127(constB147, bitIndex2)) | ((~v129(constB148, bitIndex1)) <=> v127(constB147, bitIndex1)) | ((~v129(constB148, bitIndex0)) <=> v127(constB147, bitIndex0)))))),
% 7.99/5.91 inference(rewrite,[status(thm)],[])).
% 7.99/5.91 tff(16517,plain,
% 7.99/5.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB147, constB148)) | (~(((~v129(constB148, bitIndex2)) <=> v127(constB147, bitIndex2)) | ((~v129(constB148, bitIndex1)) <=> v127(constB147, bitIndex1)) | ((~v129(constB148, bitIndex0)) <=> v127(constB147, bitIndex0)))))),
% 7.99/5.91 inference(quant_inst,[status(thm)],[])).
% 7.99/5.91 tff(16518,plain,
% 7.99/5.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB147, constB148)) | (~(((~v129(constB148, bitIndex2)) <=> v127(constB147, bitIndex2)) | ((~v129(constB148, bitIndex1)) <=> v127(constB147, bitIndex1)) | ((~v129(constB148, bitIndex0)) <=> v127(constB147, bitIndex0))))),
% 7.99/5.91 inference(modus_ponens,[status(thm)],[16517, 16516])).
% 7.99/5.91 tff(16519,plain,
% 7.99/5.91 (~(((~v129(constB148, bitIndex2)) <=> v127(constB147, bitIndex2)) | ((~v129(constB148, bitIndex1)) <=> v127(constB147, bitIndex1)) | ((~v129(constB148, bitIndex0)) <=> v127(constB147, bitIndex0)))),
% 7.99/5.91 inference(unit_resolution,[status(thm)],[16518, 16515, 517])).
% 7.99/5.91 tff(16520,plain,
% 7.99/5.91 ((((~v129(constB148, bitIndex2)) <=> v127(constB147, bitIndex2)) | ((~v129(constB148, bitIndex1)) <=> v127(constB147, bitIndex1)) | ((~v129(constB148, bitIndex0)) <=> v127(constB147, bitIndex0))) | (~((~v129(constB148, bitIndex2)) <=> v127(constB147, bitIndex2)))),
% 7.99/5.91 inference(tautology,[status(thm)],[])).
% 7.99/5.91 tff(16521,plain,
% 7.99/5.91 (~((~v129(constB148, bitIndex2)) <=> v127(constB147, bitIndex2))),
% 7.99/5.91 inference(unit_resolution,[status(thm)],[16520, 16519])).
% 7.99/5.91 tff(16522,plain,
% 7.99/5.91 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB147) <=> v26(constB147))),
% 7.99/5.91 inference(quant_inst,[status(thm)],[])).
% 7.99/5.91 tff(16523,plain,
% 7.99/5.91 (v111(constB147) <=> v26(constB147)),
% 7.99/5.91 inference(unit_resolution,[status(thm)],[16522, 536])).
% 7.99/5.91 tff(16524,plain,
% 7.99/5.91 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB147))),
% 7.99/5.91 inference(quant_inst,[status(thm)],[])).
% 7.99/5.91 tff(16525,plain,
% 7.99/5.91 (~v26(constB147)),
% 7.99/5.91 inference(unit_resolution,[status(thm)],[16524, 548])).
% 7.99/5.91 tff(16526,plain,
% 7.99/5.91 ((~(v111(constB147) <=> v26(constB147))) | (~v111(constB147)) | v26(constB147)),
% 7.99/5.91 inference(tautology,[status(thm)],[])).
% 7.99/5.91 tff(16527,plain,
% 7.99/5.91 ((~(v111(constB147) <=> v26(constB147))) | (~v111(constB147))),
% 7.99/5.91 inference(unit_resolution,[status(thm)],[16526, 16525])).
% 7.99/5.91 tff(16528,plain,
% 7.99/5.91 (~v111(constB147)),
% 7.99/5.91 inference(unit_resolution,[status(thm)],[16527, 16523])).
% 7.99/5.91 tff(16529,plain,
% 7.99/5.91 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB147) | (~(((~v127(constB147, bitIndex2)) <=> v130(constB147, bitIndex2)) | ((~v127(constB147, bitIndex1)) <=> v130(constB147, bitIndex1)) | ((~v127(constB147, bitIndex0)) <=> v130(constB147, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB147) | (~(((~v127(constB147, bitIndex2)) <=> v130(constB147, bitIndex2)) | ((~v127(constB147, bitIndex1)) <=> v130(constB147, bitIndex1)) | ((~v127(constB147, bitIndex0)) <=> v130(constB147, bitIndex0)))))),
% 7.99/5.91 inference(rewrite,[status(thm)],[])).
% 7.99/5.91 tff(16530,plain,
% 7.99/5.91 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB147) | (~(((~v127(constB147, bitIndex2)) <=> v130(constB147, bitIndex2)) | ((~v127(constB147, bitIndex1)) <=> v130(constB147, bitIndex1)) | ((~v127(constB147, bitIndex0)) <=> v130(constB147, bitIndex0)))))),
% 8.00/5.91 inference(quant_inst,[status(thm)],[])).
% 8.00/5.91 tff(16531,plain,
% 8.00/5.91 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB147) | (~(((~v127(constB147, bitIndex2)) <=> v130(constB147, bitIndex2)) | ((~v127(constB147, bitIndex1)) <=> v130(constB147, bitIndex1)) | ((~v127(constB147, bitIndex0)) <=> v130(constB147, bitIndex0))))),
% 8.00/5.91 inference(modus_ponens,[status(thm)],[16530, 16529])).
% 8.00/5.91 tff(16532,plain,
% 8.00/5.91 (v111(constB147) | (~(((~v127(constB147, bitIndex2)) <=> v130(constB147, bitIndex2)) | ((~v127(constB147, bitIndex1)) <=> v130(constB147, bitIndex1)) | ((~v127(constB147, bitIndex0)) <=> v130(constB147, bitIndex0))))),
% 8.00/5.91 inference(unit_resolution,[status(thm)],[16531, 566])).
% 8.00/5.91 tff(16533,plain,
% 8.00/5.91 (~(((~v127(constB147, bitIndex2)) <=> v130(constB147, bitIndex2)) | ((~v127(constB147, bitIndex1)) <=> v130(constB147, bitIndex1)) | ((~v127(constB147, bitIndex0)) <=> v130(constB147, bitIndex0)))),
% 8.00/5.91 inference(unit_resolution,[status(thm)],[16532, 16528])).
% 8.00/5.91 tff(16534,plain,
% 8.00/5.91 ((((~v127(constB147, bitIndex2)) <=> v130(constB147, bitIndex2)) | ((~v127(constB147, bitIndex1)) <=> v130(constB147, bitIndex1)) | ((~v127(constB147, bitIndex0)) <=> v130(constB147, bitIndex0))) | (~((~v127(constB147, bitIndex2)) <=> v130(constB147, bitIndex2)))),
% 8.00/5.91 inference(tautology,[status(thm)],[])).
% 8.00/5.91 tff(16535,plain,
% 8.00/5.91 (~((~v127(constB147, bitIndex2)) <=> v130(constB147, bitIndex2))),
% 8.00/5.91 inference(unit_resolution,[status(thm)],[16534, 16533])).
% 8.00/5.91 tff(16536,plain,
% 8.00/5.91 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB147) <=> (~(v90(constB147, bitIndex1) | v90(constB147, bitIndex2) | (~v90(constB147, bitIndex0)))))),
% 8.00/5.91 inference(quant_inst,[status(thm)],[])).
% 8.00/5.91 tff(16537,plain,
% 8.00/5.91 (v120(constB147) <=> (~(v90(constB147, bitIndex1) | v90(constB147, bitIndex2) | (~v90(constB147, bitIndex0))))),
% 8.00/5.91 inference(unit_resolution,[status(thm)],[16536, 665])).
% 8.00/5.91 tff(16538,plain,
% 8.00/5.91 (nextState(constB146, constB147) <=> nextState(constB146, constB147)),
% 8.00/5.91 inference(rewrite,[status(thm)],[])).
% 8.00/5.91 tff(16539,axiom,(nextState(constB146, constB147)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_146')).
% 8.00/5.91 tff(16540,plain,
% 8.00/5.91 (nextState(constB146, constB147)),
% 8.00/5.91 inference(modus_ponens,[status(thm)],[16539, 16538])).
% 8.00/5.91 tff(16541,plain,
% 8.00/5.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB146, constB147)) | (v100(constB147) <=> (~((~v101(constB147)) | (~v110(constB147))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB146, constB147)) | (v100(constB147) <=> (~((~v101(constB147)) | (~v110(constB147))))))),
% 8.00/5.91 inference(rewrite,[status(thm)],[])).
% 8.00/5.91 tff(16542,plain,
% 8.00/5.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB146, constB147)) | (v100(constB147) <=> (~((~v101(constB147)) | (~v110(constB147))))))),
% 8.00/5.91 inference(quant_inst,[status(thm)],[])).
% 8.00/5.91 tff(16543,plain,
% 8.00/5.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB146, constB147)) | (v100(constB147) <=> (~((~v101(constB147)) | (~v110(constB147)))))),
% 8.00/5.91 inference(modus_ponens,[status(thm)],[16542, 16541])).
% 8.00/5.91 tff(16544,plain,
% 8.00/5.91 (v100(constB147) <=> (~((~v101(constB147)) | (~v110(constB147))))),
% 8.00/5.91 inference(unit_resolution,[status(thm)],[16543, 16540, 445])).
% 8.00/5.91 tff(16545,plain,
% 8.00/5.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB146, constB147)) | (v101(constB147) <=> (~((~v1(constB147)) | (~v102(constB147))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB146, constB147)) | (v101(constB147) <=> (~((~v1(constB147)) | (~v102(constB147))))))),
% 8.00/5.91 inference(rewrite,[status(thm)],[])).
% 8.00/5.91 tff(16546,plain,
% 8.00/5.91 (((~nextState(constB146, constB147)) | (v101(constB147) <=> (~((~v102(constB147)) | (~v1(constB147)))))) <=> ((~nextState(constB146, constB147)) | (v101(constB147) <=> (~((~v1(constB147)) | (~v102(constB147))))))),
% 8.00/5.91 inference(rewrite,[status(thm)],[])).
% 8.00/5.91 tff(16547,plain,
% 8.00/5.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB146, constB147)) | (v101(constB147) <=> (~((~v102(constB147)) | (~v1(constB147))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB146, constB147)) | (v101(constB147) <=> (~((~v1(constB147)) | (~v102(constB147)))))))),
% 8.00/5.91 inference(monotonicity,[status(thm)],[16546])).
% 8.00/5.91 tff(16548,plain,
% 8.00/5.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB146, constB147)) | (v101(constB147) <=> (~((~v102(constB147)) | (~v1(constB147))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB146, constB147)) | (v101(constB147) <=> (~((~v1(constB147)) | (~v102(constB147))))))),
% 8.00/5.91 inference(transitivity,[status(thm)],[16547, 16545])).
% 8.00/5.91 tff(16549,plain,
% 8.00/5.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB146, constB147)) | (v101(constB147) <=> (~((~v102(constB147)) | (~v1(constB147))))))),
% 8.00/5.91 inference(quant_inst,[status(thm)],[])).
% 8.00/5.91 tff(16550,plain,
% 8.00/5.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB146, constB147)) | (v101(constB147) <=> (~((~v1(constB147)) | (~v102(constB147)))))),
% 8.00/5.91 inference(modus_ponens,[status(thm)],[16549, 16548])).
% 8.00/5.91 tff(16551,plain,
% 8.00/5.91 (v101(constB147) <=> (~((~v1(constB147)) | (~v102(constB147))))),
% 8.00/5.91 inference(unit_resolution,[status(thm)],[16550, 16540, 465])).
% 8.00/5.91 tff(16552,plain,
% 8.00/5.91 ((~v1(constB147)) <=> (~v1(constB147))),
% 8.00/5.91 inference(rewrite,[status(thm)],[])).
% 8.00/5.91 tff(16553,axiom,(~v1(constB147)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_147')).
% 8.00/5.91 tff(16554,plain,
% 8.00/5.91 (~v1(constB147)),
% 8.00/5.91 inference(modus_ponens,[status(thm)],[16553, 16552])).
% 8.00/5.91 tff(16555,plain,
% 8.00/5.91 (((~v1(constB147)) | (~v102(constB147))) | v1(constB147)),
% 8.00/5.91 inference(tautology,[status(thm)],[])).
% 8.00/5.91 tff(16556,plain,
% 8.00/5.91 ((~v1(constB147)) | (~v102(constB147))),
% 8.00/5.91 inference(unit_resolution,[status(thm)],[16555, 16554])).
% 8.00/5.91 tff(16557,plain,
% 8.00/5.91 ((~(v101(constB147) <=> (~((~v1(constB147)) | (~v102(constB147)))))) | (~v101(constB147)) | (~((~v1(constB147)) | (~v102(constB147))))),
% 8.00/5.91 inference(tautology,[status(thm)],[])).
% 8.00/5.91 tff(16558,plain,
% 8.00/5.91 ((~(v101(constB147) <=> (~((~v1(constB147)) | (~v102(constB147)))))) | (~v101(constB147))),
% 8.00/5.91 inference(unit_resolution,[status(thm)],[16557, 16556])).
% 8.00/5.91 tff(16559,plain,
% 8.00/5.91 (~v101(constB147)),
% 8.00/5.91 inference(unit_resolution,[status(thm)],[16558, 16551])).
% 8.00/5.91 tff(16560,plain,
% 8.00/5.91 (((~v101(constB147)) | (~v110(constB147))) | v101(constB147)),
% 8.00/5.91 inference(tautology,[status(thm)],[])).
% 8.00/5.91 tff(16561,plain,
% 8.00/5.91 ((~v101(constB147)) | (~v110(constB147))),
% 8.00/5.91 inference(unit_resolution,[status(thm)],[16560, 16559])).
% 8.00/5.91 tff(16562,plain,
% 8.00/5.91 ((~(v100(constB147) <=> (~((~v101(constB147)) | (~v110(constB147)))))) | (~v100(constB147)) | (~((~v101(constB147)) | (~v110(constB147))))),
% 8.00/5.91 inference(tautology,[status(thm)],[])).
% 8.00/5.91 tff(16563,plain,
% 8.00/5.91 (~v100(constB147)),
% 8.00/5.91 inference(unit_resolution,[status(thm)],[16562, 16561, 16544])).
% 8.00/5.91 tff(16564,plain,
% 8.00/5.91 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB147) | (~nextState(constB146, constB147)) | (~(((~v90(constB147, bitIndex1)) <=> v90(constB146, bitIndex1)) | ((~v90(constB147, bitIndex2)) <=> v90(constB146, bitIndex2)) | ((~v90(constB147, bitIndex0)) <=> v90(constB146, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB147) | (~nextState(constB146, constB147)) | (~(((~v90(constB147, bitIndex1)) <=> v90(constB146, bitIndex1)) | ((~v90(constB147, bitIndex2)) <=> v90(constB146, bitIndex2)) | ((~v90(constB147, bitIndex0)) <=> v90(constB146, bitIndex0)))))),
% 8.00/5.91 inference(rewrite,[status(thm)],[])).
% 8.00/5.91 tff(16565,plain,
% 8.00/5.91 ((v100(constB147) | (~nextState(constB146, constB147)) | (~(((~v90(constB147, bitIndex2)) <=> v90(constB146, bitIndex2)) | ((~v90(constB147, bitIndex1)) <=> v90(constB146, bitIndex1)) | ((~v90(constB147, bitIndex0)) <=> v90(constB146, bitIndex0))))) <=> (v100(constB147) | (~nextState(constB146, constB147)) | (~(((~v90(constB147, bitIndex1)) <=> v90(constB146, bitIndex1)) | ((~v90(constB147, bitIndex2)) <=> v90(constB146, bitIndex2)) | ((~v90(constB147, bitIndex0)) <=> v90(constB146, bitIndex0)))))),
% 8.00/5.91 inference(rewrite,[status(thm)],[])).
% 8.00/5.91 tff(16566,plain,
% 8.00/5.91 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB147) | (~nextState(constB146, constB147)) | (~(((~v90(constB147, bitIndex2)) <=> v90(constB146, bitIndex2)) | ((~v90(constB147, bitIndex1)) <=> v90(constB146, bitIndex1)) | ((~v90(constB147, bitIndex0)) <=> v90(constB146, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB147) | (~nextState(constB146, constB147)) | (~(((~v90(constB147, bitIndex1)) <=> v90(constB146, bitIndex1)) | ((~v90(constB147, bitIndex2)) <=> v90(constB146, bitIndex2)) | ((~v90(constB147, bitIndex0)) <=> v90(constB146, bitIndex0))))))),
% 8.00/5.91 inference(monotonicity,[status(thm)],[16565])).
% 8.00/5.91 tff(16567,plain,
% 8.00/5.91 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB147) | (~nextState(constB146, constB147)) | (~(((~v90(constB147, bitIndex2)) <=> v90(constB146, bitIndex2)) | ((~v90(constB147, bitIndex1)) <=> v90(constB146, bitIndex1)) | ((~v90(constB147, bitIndex0)) <=> v90(constB146, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB147) | (~nextState(constB146, constB147)) | (~(((~v90(constB147, bitIndex1)) <=> v90(constB146, bitIndex1)) | ((~v90(constB147, bitIndex2)) <=> v90(constB146, bitIndex2)) | ((~v90(constB147, bitIndex0)) <=> v90(constB146, bitIndex0)))))),
% 8.00/5.91 inference(transitivity,[status(thm)],[16566, 16564])).
% 8.00/5.91 tff(16568,plain,
% 8.00/5.91 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB147) | (~nextState(constB146, constB147)) | (~(((~v90(constB147, bitIndex2)) <=> v90(constB146, bitIndex2)) | ((~v90(constB147, bitIndex1)) <=> v90(constB146, bitIndex1)) | ((~v90(constB147, bitIndex0)) <=> v90(constB146, bitIndex0)))))),
% 8.00/5.91 inference(quant_inst,[status(thm)],[])).
% 8.00/5.91 tff(16569,plain,
% 8.00/5.91 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB147) | (~nextState(constB146, constB147)) | (~(((~v90(constB147, bitIndex1)) <=> v90(constB146, bitIndex1)) | ((~v90(constB147, bitIndex2)) <=> v90(constB146, bitIndex2)) | ((~v90(constB147, bitIndex0)) <=> v90(constB146, bitIndex0))))),
% 8.00/5.91 inference(modus_ponens,[status(thm)],[16568, 16567])).
% 8.00/5.91 tff(16570,plain,
% 8.00/5.91 (v100(constB147) | (~(((~v90(constB147, bitIndex1)) <=> v90(constB146, bitIndex1)) | ((~v90(constB147, bitIndex2)) <=> v90(constB146, bitIndex2)) | ((~v90(constB147, bitIndex0)) <=> v90(constB146, bitIndex0))))),
% 8.00/5.91 inference(unit_resolution,[status(thm)],[16569, 16540, 494])).
% 8.00/5.91 tff(16571,plain,
% 8.00/5.91 (~(((~v90(constB147, bitIndex1)) <=> v90(constB146, bitIndex1)) | ((~v90(constB147, bitIndex2)) <=> v90(constB146, bitIndex2)) | ((~v90(constB147, bitIndex0)) <=> v90(constB146, bitIndex0)))),
% 8.00/5.91 inference(unit_resolution,[status(thm)],[16570, 16563])).
% 8.00/5.91 tff(16572,plain,
% 8.00/5.91 ((((~v90(constB147, bitIndex1)) <=> v90(constB146, bitIndex1)) | ((~v90(constB147, bitIndex2)) <=> v90(constB146, bitIndex2)) | ((~v90(constB147, bitIndex0)) <=> v90(constB146, bitIndex0))) | (~((~v90(constB147, bitIndex2)) <=> v90(constB146, bitIndex2)))),
% 8.00/5.91 inference(tautology,[status(thm)],[])).
% 8.00/5.91 tff(16573,plain,
% 8.00/5.91 (~((~v90(constB147, bitIndex2)) <=> v90(constB146, bitIndex2))),
% 8.00/5.91 inference(unit_resolution,[status(thm)],[16572, 16571])).
% 8.00/5.91 tff(16574,plain,
% 8.00/5.91 (nextState(constB145, constB146) <=> nextState(constB145, constB146)),
% 8.00/5.91 inference(rewrite,[status(thm)],[])).
% 8.00/5.91 tff(16575,axiom,(nextState(constB145, constB146)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_145')).
% 8.00/5.91 tff(16576,plain,
% 8.00/5.91 (nextState(constB145, constB146)),
% 8.00/5.91 inference(modus_ponens,[status(thm)],[16575, 16574])).
% 8.00/5.91 tff(16577,plain,
% 8.00/5.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB145, constB146)) | (~(((~v129(constB146, bitIndex2)) <=> v127(constB145, bitIndex2)) | ((~v129(constB146, bitIndex1)) <=> v127(constB145, bitIndex1)) | ((~v129(constB146, bitIndex0)) <=> v127(constB145, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB145, constB146)) | (~(((~v129(constB146, bitIndex2)) <=> v127(constB145, bitIndex2)) | ((~v129(constB146, bitIndex1)) <=> v127(constB145, bitIndex1)) | ((~v129(constB146, bitIndex0)) <=> v127(constB145, bitIndex0)))))),
% 8.00/5.91 inference(rewrite,[status(thm)],[])).
% 8.00/5.91 tff(16578,plain,
% 8.00/5.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB145, constB146)) | (~(((~v129(constB146, bitIndex2)) <=> v127(constB145, bitIndex2)) | ((~v129(constB146, bitIndex1)) <=> v127(constB145, bitIndex1)) | ((~v129(constB146, bitIndex0)) <=> v127(constB145, bitIndex0)))))),
% 8.00/5.92 inference(quant_inst,[status(thm)],[])).
% 8.00/5.92 tff(16579,plain,
% 8.00/5.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB145, constB146)) | (~(((~v129(constB146, bitIndex2)) <=> v127(constB145, bitIndex2)) | ((~v129(constB146, bitIndex1)) <=> v127(constB145, bitIndex1)) | ((~v129(constB146, bitIndex0)) <=> v127(constB145, bitIndex0))))),
% 8.00/5.92 inference(modus_ponens,[status(thm)],[16578, 16577])).
% 8.00/5.92 tff(16580,plain,
% 8.00/5.92 (~(((~v129(constB146, bitIndex2)) <=> v127(constB145, bitIndex2)) | ((~v129(constB146, bitIndex1)) <=> v127(constB145, bitIndex1)) | ((~v129(constB146, bitIndex0)) <=> v127(constB145, bitIndex0)))),
% 8.00/5.92 inference(unit_resolution,[status(thm)],[16579, 16576, 517])).
% 8.00/5.92 tff(16581,plain,
% 8.00/5.92 ((((~v129(constB146, bitIndex2)) <=> v127(constB145, bitIndex2)) | ((~v129(constB146, bitIndex1)) <=> v127(constB145, bitIndex1)) | ((~v129(constB146, bitIndex0)) <=> v127(constB145, bitIndex0))) | (~((~v129(constB146, bitIndex2)) <=> v127(constB145, bitIndex2)))),
% 8.00/5.92 inference(tautology,[status(thm)],[])).
% 8.00/5.92 tff(16582,plain,
% 8.00/5.92 (~((~v129(constB146, bitIndex2)) <=> v127(constB145, bitIndex2))),
% 8.00/5.92 inference(unit_resolution,[status(thm)],[16581, 16580])).
% 8.00/5.92 tff(16583,plain,
% 8.00/5.92 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB145) <=> v26(constB145))),
% 8.00/5.92 inference(quant_inst,[status(thm)],[])).
% 8.00/5.92 tff(16584,plain,
% 8.00/5.92 (v111(constB145) <=> v26(constB145)),
% 8.00/5.92 inference(unit_resolution,[status(thm)],[16583, 536])).
% 8.00/5.92 tff(16585,plain,
% 8.00/5.92 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB145))),
% 8.00/5.92 inference(quant_inst,[status(thm)],[])).
% 8.00/5.92 tff(16586,plain,
% 8.00/5.92 (~v26(constB145)),
% 8.00/5.92 inference(unit_resolution,[status(thm)],[16585, 548])).
% 8.00/5.92 tff(16587,plain,
% 8.00/5.92 ((~(v111(constB145) <=> v26(constB145))) | (~v111(constB145)) | v26(constB145)),
% 8.00/5.92 inference(tautology,[status(thm)],[])).
% 8.00/5.92 tff(16588,plain,
% 8.00/5.92 ((~(v111(constB145) <=> v26(constB145))) | (~v111(constB145))),
% 8.00/5.92 inference(unit_resolution,[status(thm)],[16587, 16586])).
% 8.00/5.92 tff(16589,plain,
% 8.00/5.92 (~v111(constB145)),
% 8.00/5.92 inference(unit_resolution,[status(thm)],[16588, 16584])).
% 8.00/5.92 tff(16590,plain,
% 8.00/5.92 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB145) | (~(((~v127(constB145, bitIndex2)) <=> v130(constB145, bitIndex2)) | ((~v127(constB145, bitIndex1)) <=> v130(constB145, bitIndex1)) | ((~v127(constB145, bitIndex0)) <=> v130(constB145, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB145) | (~(((~v127(constB145, bitIndex2)) <=> v130(constB145, bitIndex2)) | ((~v127(constB145, bitIndex1)) <=> v130(constB145, bitIndex1)) | ((~v127(constB145, bitIndex0)) <=> v130(constB145, bitIndex0)))))),
% 8.00/5.92 inference(rewrite,[status(thm)],[])).
% 8.00/5.92 tff(16591,plain,
% 8.00/5.92 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB145) | (~(((~v127(constB145, bitIndex2)) <=> v130(constB145, bitIndex2)) | ((~v127(constB145, bitIndex1)) <=> v130(constB145, bitIndex1)) | ((~v127(constB145, bitIndex0)) <=> v130(constB145, bitIndex0)))))),
% 8.00/5.92 inference(quant_inst,[status(thm)],[])).
% 8.00/5.92 tff(16592,plain,
% 8.00/5.92 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB145) | (~(((~v127(constB145, bitIndex2)) <=> v130(constB145, bitIndex2)) | ((~v127(constB145, bitIndex1)) <=> v130(constB145, bitIndex1)) | ((~v127(constB145, bitIndex0)) <=> v130(constB145, bitIndex0))))),
% 8.00/5.92 inference(modus_ponens,[status(thm)],[16591, 16590])).
% 8.00/5.92 tff(16593,plain,
% 8.00/5.92 (v111(constB145) | (~(((~v127(constB145, bitIndex2)) <=> v130(constB145, bitIndex2)) | ((~v127(constB145, bitIndex1)) <=> v130(constB145, bitIndex1)) | ((~v127(constB145, bitIndex0)) <=> v130(constB145, bitIndex0))))),
% 8.00/5.92 inference(unit_resolution,[status(thm)],[16592, 566])).
% 8.00/5.92 tff(16594,plain,
% 8.00/5.92 (~(((~v127(constB145, bitIndex2)) <=> v130(constB145, bitIndex2)) | ((~v127(constB145, bitIndex1)) <=> v130(constB145, bitIndex1)) | ((~v127(constB145, bitIndex0)) <=> v130(constB145, bitIndex0)))),
% 8.00/5.92 inference(unit_resolution,[status(thm)],[16593, 16589])).
% 8.00/5.92 tff(16595,plain,
% 8.00/5.92 ((((~v127(constB145, bitIndex2)) <=> v130(constB145, bitIndex2)) | ((~v127(constB145, bitIndex1)) <=> v130(constB145, bitIndex1)) | ((~v127(constB145, bitIndex0)) <=> v130(constB145, bitIndex0))) | (~((~v127(constB145, bitIndex2)) <=> v130(constB145, bitIndex2)))),
% 8.00/5.92 inference(tautology,[status(thm)],[])).
% 8.00/5.92 tff(16596,plain,
% 8.00/5.92 (~((~v127(constB145, bitIndex2)) <=> v130(constB145, bitIndex2))),
% 8.00/5.92 inference(unit_resolution,[status(thm)],[16595, 16594])).
% 8.00/5.92 tff(16597,plain,
% 8.00/5.92 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB145) <=> (~(v90(constB145, bitIndex0) | v90(constB145, bitIndex1) | v90(constB145, bitIndex2))))),
% 8.00/5.92 inference(quant_inst,[status(thm)],[])).
% 8.00/5.92 tff(16598,plain,
% 8.00/5.92 (v119(constB145) <=> (~(v90(constB145, bitIndex0) | v90(constB145, bitIndex1) | v90(constB145, bitIndex2)))),
% 8.00/5.92 inference(unit_resolution,[status(thm)],[16597, 1085])).
% 8.00/5.92 tff(16599,plain,
% 8.00/5.92 (nextState(constB144, constB145) <=> nextState(constB144, constB145)),
% 8.00/5.92 inference(rewrite,[status(thm)],[])).
% 8.00/5.92 tff(16600,axiom,(nextState(constB144, constB145)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_144')).
% 8.00/5.92 tff(16601,plain,
% 8.00/5.92 (nextState(constB144, constB145)),
% 8.00/5.92 inference(modus_ponens,[status(thm)],[16600, 16599])).
% 8.00/5.92 tff(16602,plain,
% 8.00/5.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB144, constB145)) | (v100(constB145) <=> (~((~v101(constB145)) | (~v110(constB145))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB144, constB145)) | (v100(constB145) <=> (~((~v101(constB145)) | (~v110(constB145))))))),
% 8.00/5.92 inference(rewrite,[status(thm)],[])).
% 8.00/5.92 tff(16603,plain,
% 8.00/5.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB144, constB145)) | (v100(constB145) <=> (~((~v101(constB145)) | (~v110(constB145))))))),
% 8.00/5.92 inference(quant_inst,[status(thm)],[])).
% 8.00/5.92 tff(16604,plain,
% 8.00/5.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB144, constB145)) | (v100(constB145) <=> (~((~v101(constB145)) | (~v110(constB145)))))),
% 8.00/5.92 inference(modus_ponens,[status(thm)],[16603, 16602])).
% 8.00/5.92 tff(16605,plain,
% 8.00/5.92 (v100(constB145) <=> (~((~v101(constB145)) | (~v110(constB145))))),
% 8.00/5.92 inference(unit_resolution,[status(thm)],[16604, 16601, 445])).
% 8.00/5.92 tff(16606,plain,
% 8.00/5.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB144, constB145)) | (v101(constB145) <=> (~((~v1(constB145)) | (~v102(constB145))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB144, constB145)) | (v101(constB145) <=> (~((~v1(constB145)) | (~v102(constB145))))))),
% 8.00/5.92 inference(rewrite,[status(thm)],[])).
% 8.00/5.92 tff(16607,plain,
% 8.00/5.92 (((~nextState(constB144, constB145)) | (v101(constB145) <=> (~((~v102(constB145)) | (~v1(constB145)))))) <=> ((~nextState(constB144, constB145)) | (v101(constB145) <=> (~((~v1(constB145)) | (~v102(constB145))))))),
% 8.00/5.92 inference(rewrite,[status(thm)],[])).
% 8.00/5.92 tff(16608,plain,
% 8.00/5.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB144, constB145)) | (v101(constB145) <=> (~((~v102(constB145)) | (~v1(constB145))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB144, constB145)) | (v101(constB145) <=> (~((~v1(constB145)) | (~v102(constB145)))))))),
% 8.00/5.92 inference(monotonicity,[status(thm)],[16607])).
% 8.00/5.92 tff(16609,plain,
% 8.00/5.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB144, constB145)) | (v101(constB145) <=> (~((~v102(constB145)) | (~v1(constB145))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB144, constB145)) | (v101(constB145) <=> (~((~v1(constB145)) | (~v102(constB145))))))),
% 8.00/5.92 inference(transitivity,[status(thm)],[16608, 16606])).
% 8.00/5.92 tff(16610,plain,
% 8.00/5.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB144, constB145)) | (v101(constB145) <=> (~((~v102(constB145)) | (~v1(constB145))))))),
% 8.00/5.92 inference(quant_inst,[status(thm)],[])).
% 8.00/5.92 tff(16611,plain,
% 8.00/5.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB144, constB145)) | (v101(constB145) <=> (~((~v1(constB145)) | (~v102(constB145)))))),
% 8.00/5.92 inference(modus_ponens,[status(thm)],[16610, 16609])).
% 8.00/5.92 tff(16612,plain,
% 8.00/5.92 (v101(constB145) <=> (~((~v1(constB145)) | (~v102(constB145))))),
% 8.00/5.92 inference(unit_resolution,[status(thm)],[16611, 16601, 465])).
% 8.00/5.92 tff(16613,plain,
% 8.00/5.92 ((~v1(constB145)) <=> (~v1(constB145))),
% 8.00/5.92 inference(rewrite,[status(thm)],[])).
% 8.00/5.92 tff(16614,axiom,(~v1(constB145)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_145')).
% 8.00/5.92 tff(16615,plain,
% 8.00/5.92 (~v1(constB145)),
% 8.00/5.92 inference(modus_ponens,[status(thm)],[16614, 16613])).
% 8.00/5.92 tff(16616,plain,
% 8.00/5.92 (((~v1(constB145)) | (~v102(constB145))) | v1(constB145)),
% 8.00/5.92 inference(tautology,[status(thm)],[])).
% 8.00/5.92 tff(16617,plain,
% 8.00/5.92 ((~v1(constB145)) | (~v102(constB145))),
% 8.00/5.92 inference(unit_resolution,[status(thm)],[16616, 16615])).
% 8.00/5.92 tff(16618,plain,
% 8.00/5.92 ((~(v101(constB145) <=> (~((~v1(constB145)) | (~v102(constB145)))))) | (~v101(constB145)) | (~((~v1(constB145)) | (~v102(constB145))))),
% 8.00/5.92 inference(tautology,[status(thm)],[])).
% 8.00/5.92 tff(16619,plain,
% 8.00/5.92 ((~(v101(constB145) <=> (~((~v1(constB145)) | (~v102(constB145)))))) | (~v101(constB145))),
% 8.00/5.92 inference(unit_resolution,[status(thm)],[16618, 16617])).
% 8.00/5.92 tff(16620,plain,
% 8.00/5.92 (~v101(constB145)),
% 8.00/5.92 inference(unit_resolution,[status(thm)],[16619, 16612])).
% 8.00/5.92 tff(16621,plain,
% 8.00/5.92 (((~v101(constB145)) | (~v110(constB145))) | v101(constB145)),
% 8.00/5.92 inference(tautology,[status(thm)],[])).
% 8.00/5.92 tff(16622,plain,
% 8.00/5.92 ((~v101(constB145)) | (~v110(constB145))),
% 8.00/5.92 inference(unit_resolution,[status(thm)],[16621, 16620])).
% 8.00/5.92 tff(16623,plain,
% 8.00/5.92 ((~(v100(constB145) <=> (~((~v101(constB145)) | (~v110(constB145)))))) | (~v100(constB145)) | (~((~v101(constB145)) | (~v110(constB145))))),
% 8.00/5.92 inference(tautology,[status(thm)],[])).
% 8.00/5.92 tff(16624,plain,
% 8.00/5.92 (~v100(constB145)),
% 8.00/5.92 inference(unit_resolution,[status(thm)],[16623, 16622, 16605])).
% 8.00/5.92 tff(16625,plain,
% 8.00/5.92 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB145) | (~nextState(constB144, constB145)) | (~(((~v90(constB145, bitIndex1)) <=> v90(constB144, bitIndex1)) | ((~v90(constB145, bitIndex2)) <=> v90(constB144, bitIndex2)) | ((~v90(constB145, bitIndex0)) <=> v90(constB144, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB145) | (~nextState(constB144, constB145)) | (~(((~v90(constB145, bitIndex1)) <=> v90(constB144, bitIndex1)) | ((~v90(constB145, bitIndex2)) <=> v90(constB144, bitIndex2)) | ((~v90(constB145, bitIndex0)) <=> v90(constB144, bitIndex0)))))),
% 8.00/5.92 inference(rewrite,[status(thm)],[])).
% 8.00/5.92 tff(16626,plain,
% 8.00/5.92 ((v100(constB145) | (~nextState(constB144, constB145)) | (~(((~v90(constB145, bitIndex2)) <=> v90(constB144, bitIndex2)) | ((~v90(constB145, bitIndex1)) <=> v90(constB144, bitIndex1)) | ((~v90(constB145, bitIndex0)) <=> v90(constB144, bitIndex0))))) <=> (v100(constB145) | (~nextState(constB144, constB145)) | (~(((~v90(constB145, bitIndex1)) <=> v90(constB144, bitIndex1)) | ((~v90(constB145, bitIndex2)) <=> v90(constB144, bitIndex2)) | ((~v90(constB145, bitIndex0)) <=> v90(constB144, bitIndex0)))))),
% 8.00/5.92 inference(rewrite,[status(thm)],[])).
% 8.00/5.92 tff(16627,plain,
% 8.00/5.92 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB145) | (~nextState(constB144, constB145)) | (~(((~v90(constB145, bitIndex2)) <=> v90(constB144, bitIndex2)) | ((~v90(constB145, bitIndex1)) <=> v90(constB144, bitIndex1)) | ((~v90(constB145, bitIndex0)) <=> v90(constB144, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB145) | (~nextState(constB144, constB145)) | (~(((~v90(constB145, bitIndex1)) <=> v90(constB144, bitIndex1)) | ((~v90(constB145, bitIndex2)) <=> v90(constB144, bitIndex2)) | ((~v90(constB145, bitIndex0)) <=> v90(constB144, bitIndex0))))))),
% 8.00/5.92 inference(monotonicity,[status(thm)],[16626])).
% 8.00/5.92 tff(16628,plain,
% 8.00/5.92 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB145) | (~nextState(constB144, constB145)) | (~(((~v90(constB145, bitIndex2)) <=> v90(constB144, bitIndex2)) | ((~v90(constB145, bitIndex1)) <=> v90(constB144, bitIndex1)) | ((~v90(constB145, bitIndex0)) <=> v90(constB144, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB145) | (~nextState(constB144, constB145)) | (~(((~v90(constB145, bitIndex1)) <=> v90(constB144, bitIndex1)) | ((~v90(constB145, bitIndex2)) <=> v90(constB144, bitIndex2)) | ((~v90(constB145, bitIndex0)) <=> v90(constB144, bitIndex0)))))),
% 8.00/5.92 inference(transitivity,[status(thm)],[16627, 16625])).
% 8.00/5.92 tff(16629,plain,
% 8.00/5.92 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB145) | (~nextState(constB144, constB145)) | (~(((~v90(constB145, bitIndex2)) <=> v90(constB144, bitIndex2)) | ((~v90(constB145, bitIndex1)) <=> v90(constB144, bitIndex1)) | ((~v90(constB145, bitIndex0)) <=> v90(constB144, bitIndex0)))))),
% 8.00/5.92 inference(quant_inst,[status(thm)],[])).
% 8.00/5.92 tff(16630,plain,
% 8.00/5.92 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB145) | (~nextState(constB144, constB145)) | (~(((~v90(constB145, bitIndex1)) <=> v90(constB144, bitIndex1)) | ((~v90(constB145, bitIndex2)) <=> v90(constB144, bitIndex2)) | ((~v90(constB145, bitIndex0)) <=> v90(constB144, bitIndex0))))),
% 8.00/5.92 inference(modus_ponens,[status(thm)],[16629, 16628])).
% 8.00/5.92 tff(16631,plain,
% 8.00/5.92 (v100(constB145) | (~(((~v90(constB145, bitIndex1)) <=> v90(constB144, bitIndex1)) | ((~v90(constB145, bitIndex2)) <=> v90(constB144, bitIndex2)) | ((~v90(constB145, bitIndex0)) <=> v90(constB144, bitIndex0))))),
% 8.00/5.92 inference(unit_resolution,[status(thm)],[16630, 16601, 494])).
% 8.00/5.92 tff(16632,plain,
% 8.00/5.92 (~(((~v90(constB145, bitIndex1)) <=> v90(constB144, bitIndex1)) | ((~v90(constB145, bitIndex2)) <=> v90(constB144, bitIndex2)) | ((~v90(constB145, bitIndex0)) <=> v90(constB144, bitIndex0)))),
% 8.00/5.92 inference(unit_resolution,[status(thm)],[16631, 16624])).
% 8.00/5.92 tff(16633,plain,
% 8.00/5.92 ((((~v90(constB145, bitIndex1)) <=> v90(constB144, bitIndex1)) | ((~v90(constB145, bitIndex2)) <=> v90(constB144, bitIndex2)) | ((~v90(constB145, bitIndex0)) <=> v90(constB144, bitIndex0))) | (~((~v90(constB145, bitIndex2)) <=> v90(constB144, bitIndex2)))),
% 8.00/5.92 inference(tautology,[status(thm)],[])).
% 8.00/5.92 tff(16634,plain,
% 8.00/5.92 (~((~v90(constB145, bitIndex2)) <=> v90(constB144, bitIndex2))),
% 8.00/5.92 inference(unit_resolution,[status(thm)],[16633, 16632])).
% 8.00/5.92 tff(16635,plain,
% 8.00/5.92 (nextState(constB143, constB144) <=> nextState(constB143, constB144)),
% 8.00/5.92 inference(rewrite,[status(thm)],[])).
% 8.00/5.92 tff(16636,axiom,(nextState(constB143, constB144)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_143')).
% 8.00/5.92 tff(16637,plain,
% 8.00/5.92 (nextState(constB143, constB144)),
% 8.00/5.92 inference(modus_ponens,[status(thm)],[16636, 16635])).
% 8.00/5.92 tff(16638,plain,
% 8.00/5.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB143, constB144)) | (~(((~v129(constB144, bitIndex2)) <=> v127(constB143, bitIndex2)) | ((~v129(constB144, bitIndex1)) <=> v127(constB143, bitIndex1)) | ((~v129(constB144, bitIndex0)) <=> v127(constB143, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB143, constB144)) | (~(((~v129(constB144, bitIndex2)) <=> v127(constB143, bitIndex2)) | ((~v129(constB144, bitIndex1)) <=> v127(constB143, bitIndex1)) | ((~v129(constB144, bitIndex0)) <=> v127(constB143, bitIndex0)))))),
% 8.00/5.92 inference(rewrite,[status(thm)],[])).
% 8.00/5.92 tff(16639,plain,
% 8.00/5.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB143, constB144)) | (~(((~v129(constB144, bitIndex2)) <=> v127(constB143, bitIndex2)) | ((~v129(constB144, bitIndex1)) <=> v127(constB143, bitIndex1)) | ((~v129(constB144, bitIndex0)) <=> v127(constB143, bitIndex0)))))),
% 8.00/5.92 inference(quant_inst,[status(thm)],[])).
% 8.00/5.92 tff(16640,plain,
% 8.00/5.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB143, constB144)) | (~(((~v129(constB144, bitIndex2)) <=> v127(constB143, bitIndex2)) | ((~v129(constB144, bitIndex1)) <=> v127(constB143, bitIndex1)) | ((~v129(constB144, bitIndex0)) <=> v127(constB143, bitIndex0))))),
% 8.00/5.92 inference(modus_ponens,[status(thm)],[16639, 16638])).
% 8.00/5.92 tff(16641,plain,
% 8.00/5.92 (~(((~v129(constB144, bitIndex2)) <=> v127(constB143, bitIndex2)) | ((~v129(constB144, bitIndex1)) <=> v127(constB143, bitIndex1)) | ((~v129(constB144, bitIndex0)) <=> v127(constB143, bitIndex0)))),
% 8.00/5.92 inference(unit_resolution,[status(thm)],[16640, 16637, 517])).
% 8.00/5.92 tff(16642,plain,
% 8.00/5.92 ((((~v129(constB144, bitIndex2)) <=> v127(constB143, bitIndex2)) | ((~v129(constB144, bitIndex1)) <=> v127(constB143, bitIndex1)) | ((~v129(constB144, bitIndex0)) <=> v127(constB143, bitIndex0))) | (~((~v129(constB144, bitIndex2)) <=> v127(constB143, bitIndex2)))),
% 8.00/5.92 inference(tautology,[status(thm)],[])).
% 8.00/5.92 tff(16643,plain,
% 8.00/5.92 (~((~v129(constB144, bitIndex2)) <=> v127(constB143, bitIndex2))),
% 8.00/5.92 inference(unit_resolution,[status(thm)],[16642, 16641])).
% 8.00/5.92 tff(16644,plain,
% 8.00/5.92 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB143) <=> v26(constB143))),
% 8.00/5.92 inference(quant_inst,[status(thm)],[])).
% 8.00/5.92 tff(16645,plain,
% 8.00/5.92 (v111(constB143) <=> v26(constB143)),
% 8.00/5.92 inference(unit_resolution,[status(thm)],[16644, 536])).
% 8.00/5.92 tff(16646,plain,
% 8.00/5.92 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB143))),
% 8.00/5.92 inference(quant_inst,[status(thm)],[])).
% 8.00/5.92 tff(16647,plain,
% 8.00/5.92 (~v26(constB143)),
% 8.00/5.92 inference(unit_resolution,[status(thm)],[16646, 548])).
% 8.00/5.92 tff(16648,plain,
% 8.00/5.92 ((~(v111(constB143) <=> v26(constB143))) | (~v111(constB143)) | v26(constB143)),
% 8.00/5.92 inference(tautology,[status(thm)],[])).
% 8.00/5.92 tff(16649,plain,
% 8.00/5.92 ((~(v111(constB143) <=> v26(constB143))) | (~v111(constB143))),
% 8.00/5.92 inference(unit_resolution,[status(thm)],[16648, 16647])).
% 8.00/5.92 tff(16650,plain,
% 8.00/5.92 (~v111(constB143)),
% 8.00/5.92 inference(unit_resolution,[status(thm)],[16649, 16645])).
% 8.00/5.92 tff(16651,plain,
% 8.00/5.92 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB143) | (~(((~v127(constB143, bitIndex2)) <=> v130(constB143, bitIndex2)) | ((~v127(constB143, bitIndex1)) <=> v130(constB143, bitIndex1)) | ((~v127(constB143, bitIndex0)) <=> v130(constB143, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB143) | (~(((~v127(constB143, bitIndex2)) <=> v130(constB143, bitIndex2)) | ((~v127(constB143, bitIndex1)) <=> v130(constB143, bitIndex1)) | ((~v127(constB143, bitIndex0)) <=> v130(constB143, bitIndex0)))))),
% 8.00/5.92 inference(rewrite,[status(thm)],[])).
% 8.00/5.92 tff(16652,plain,
% 8.00/5.92 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB143) | (~(((~v127(constB143, bitIndex2)) <=> v130(constB143, bitIndex2)) | ((~v127(constB143, bitIndex1)) <=> v130(constB143, bitIndex1)) | ((~v127(constB143, bitIndex0)) <=> v130(constB143, bitIndex0)))))),
% 8.00/5.92 inference(quant_inst,[status(thm)],[])).
% 8.00/5.92 tff(16653,plain,
% 8.00/5.92 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB143) | (~(((~v127(constB143, bitIndex2)) <=> v130(constB143, bitIndex2)) | ((~v127(constB143, bitIndex1)) <=> v130(constB143, bitIndex1)) | ((~v127(constB143, bitIndex0)) <=> v130(constB143, bitIndex0))))),
% 8.00/5.92 inference(modus_ponens,[status(thm)],[16652, 16651])).
% 8.00/5.92 tff(16654,plain,
% 8.00/5.92 (v111(constB143) | (~(((~v127(constB143, bitIndex2)) <=> v130(constB143, bitIndex2)) | ((~v127(constB143, bitIndex1)) <=> v130(constB143, bitIndex1)) | ((~v127(constB143, bitIndex0)) <=> v130(constB143, bitIndex0))))),
% 8.00/5.93 inference(unit_resolution,[status(thm)],[16653, 566])).
% 8.00/5.93 tff(16655,plain,
% 8.00/5.93 (~(((~v127(constB143, bitIndex2)) <=> v130(constB143, bitIndex2)) | ((~v127(constB143, bitIndex1)) <=> v130(constB143, bitIndex1)) | ((~v127(constB143, bitIndex0)) <=> v130(constB143, bitIndex0)))),
% 8.00/5.93 inference(unit_resolution,[status(thm)],[16654, 16650])).
% 8.00/5.93 tff(16656,plain,
% 8.00/5.93 ((((~v127(constB143, bitIndex2)) <=> v130(constB143, bitIndex2)) | ((~v127(constB143, bitIndex1)) <=> v130(constB143, bitIndex1)) | ((~v127(constB143, bitIndex0)) <=> v130(constB143, bitIndex0))) | (~((~v127(constB143, bitIndex2)) <=> v130(constB143, bitIndex2)))),
% 8.00/5.93 inference(tautology,[status(thm)],[])).
% 8.00/5.93 tff(16657,plain,
% 8.00/5.93 (~((~v127(constB143, bitIndex2)) <=> v130(constB143, bitIndex2))),
% 8.00/5.93 inference(unit_resolution,[status(thm)],[16656, 16655])).
% 8.00/5.93 tff(16658,plain,
% 8.00/5.93 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB143) <=> (~(v90(constB143, bitIndex1) | v90(constB143, bitIndex0) | (~v90(constB143, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB143) <=> (~(v90(constB143, bitIndex1) | v90(constB143, bitIndex0) | (~v90(constB143, bitIndex2))))))),
% 8.00/5.93 inference(rewrite,[status(thm)],[])).
% 8.00/5.93 tff(16659,plain,
% 8.00/5.93 ((v123(constB143) <=> (~(v90(constB143, bitIndex0) | v90(constB143, bitIndex1) | (~v90(constB143, bitIndex2))))) <=> (v123(constB143) <=> (~(v90(constB143, bitIndex1) | v90(constB143, bitIndex0) | (~v90(constB143, bitIndex2)))))),
% 8.00/5.93 inference(rewrite,[status(thm)],[])).
% 8.00/5.93 tff(16660,plain,
% 8.00/5.93 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB143) <=> (~(v90(constB143, bitIndex0) | v90(constB143, bitIndex1) | (~v90(constB143, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB143) <=> (~(v90(constB143, bitIndex1) | v90(constB143, bitIndex0) | (~v90(constB143, bitIndex2))))))),
% 8.00/5.93 inference(monotonicity,[status(thm)],[16659])).
% 8.00/5.93 tff(16661,plain,
% 8.00/5.93 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB143) <=> (~(v90(constB143, bitIndex0) | v90(constB143, bitIndex1) | (~v90(constB143, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB143) <=> (~(v90(constB143, bitIndex1) | v90(constB143, bitIndex0) | (~v90(constB143, bitIndex2))))))),
% 8.00/5.93 inference(transitivity,[status(thm)],[16660, 16658])).
% 8.00/5.93 tff(16662,plain,
% 8.00/5.93 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB143) <=> (~(v90(constB143, bitIndex0) | v90(constB143, bitIndex1) | (~v90(constB143, bitIndex2)))))),
% 8.00/5.93 inference(quant_inst,[status(thm)],[])).
% 8.00/5.93 tff(16663,plain,
% 8.00/5.93 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB143) <=> (~(v90(constB143, bitIndex1) | v90(constB143, bitIndex0) | (~v90(constB143, bitIndex2)))))),
% 8.00/5.93 inference(modus_ponens,[status(thm)],[16662, 16661])).
% 8.00/5.93 tff(16664,plain,
% 8.00/5.93 (v123(constB143) <=> (~(v90(constB143, bitIndex1) | v90(constB143, bitIndex0) | (~v90(constB143, bitIndex2))))),
% 8.00/5.93 inference(unit_resolution,[status(thm)],[16663, 800])).
% 8.00/5.93 tff(16665,plain,
% 8.00/5.93 (nextState(constB142, constB143) <=> nextState(constB142, constB143)),
% 8.00/5.93 inference(rewrite,[status(thm)],[])).
% 8.00/5.93 tff(16666,axiom,(nextState(constB142, constB143)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_142')).
% 8.00/5.93 tff(16667,plain,
% 8.00/5.93 (nextState(constB142, constB143)),
% 8.00/5.93 inference(modus_ponens,[status(thm)],[16666, 16665])).
% 8.00/5.93 tff(16668,plain,
% 8.00/5.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB142, constB143)) | (v100(constB143) <=> (~((~v101(constB143)) | (~v110(constB143))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB142, constB143)) | (v100(constB143) <=> (~((~v101(constB143)) | (~v110(constB143))))))),
% 8.00/5.93 inference(rewrite,[status(thm)],[])).
% 8.00/5.93 tff(16669,plain,
% 8.00/5.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB142, constB143)) | (v100(constB143) <=> (~((~v101(constB143)) | (~v110(constB143))))))),
% 8.00/5.93 inference(quant_inst,[status(thm)],[])).
% 8.00/5.93 tff(16670,plain,
% 8.00/5.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB142, constB143)) | (v100(constB143) <=> (~((~v101(constB143)) | (~v110(constB143)))))),
% 8.00/5.93 inference(modus_ponens,[status(thm)],[16669, 16668])).
% 8.00/5.93 tff(16671,plain,
% 8.00/5.93 (v100(constB143) <=> (~((~v101(constB143)) | (~v110(constB143))))),
% 8.00/5.93 inference(unit_resolution,[status(thm)],[16670, 16667, 445])).
% 8.00/5.93 tff(16672,plain,
% 8.00/5.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB142, constB143)) | (v101(constB143) <=> (~((~v1(constB143)) | (~v102(constB143))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB142, constB143)) | (v101(constB143) <=> (~((~v1(constB143)) | (~v102(constB143))))))),
% 8.00/5.93 inference(rewrite,[status(thm)],[])).
% 8.00/5.93 tff(16673,plain,
% 8.00/5.93 (((~nextState(constB142, constB143)) | (v101(constB143) <=> (~((~v102(constB143)) | (~v1(constB143)))))) <=> ((~nextState(constB142, constB143)) | (v101(constB143) <=> (~((~v1(constB143)) | (~v102(constB143))))))),
% 8.00/5.93 inference(rewrite,[status(thm)],[])).
% 8.00/5.93 tff(16674,plain,
% 8.00/5.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB142, constB143)) | (v101(constB143) <=> (~((~v102(constB143)) | (~v1(constB143))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB142, constB143)) | (v101(constB143) <=> (~((~v1(constB143)) | (~v102(constB143)))))))),
% 8.00/5.93 inference(monotonicity,[status(thm)],[16673])).
% 8.00/5.93 tff(16675,plain,
% 8.00/5.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB142, constB143)) | (v101(constB143) <=> (~((~v102(constB143)) | (~v1(constB143))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB142, constB143)) | (v101(constB143) <=> (~((~v1(constB143)) | (~v102(constB143))))))),
% 8.00/5.93 inference(transitivity,[status(thm)],[16674, 16672])).
% 8.00/5.93 tff(16676,plain,
% 8.00/5.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB142, constB143)) | (v101(constB143) <=> (~((~v102(constB143)) | (~v1(constB143))))))),
% 8.00/5.93 inference(quant_inst,[status(thm)],[])).
% 8.00/5.93 tff(16677,plain,
% 8.00/5.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB142, constB143)) | (v101(constB143) <=> (~((~v1(constB143)) | (~v102(constB143)))))),
% 8.00/5.93 inference(modus_ponens,[status(thm)],[16676, 16675])).
% 8.00/5.93 tff(16678,plain,
% 8.00/5.93 (v101(constB143) <=> (~((~v1(constB143)) | (~v102(constB143))))),
% 8.00/5.93 inference(unit_resolution,[status(thm)],[16677, 16667, 465])).
% 8.00/5.93 tff(16679,plain,
% 8.00/5.93 ((~v1(constB143)) <=> (~v1(constB143))),
% 8.00/5.93 inference(rewrite,[status(thm)],[])).
% 8.00/5.93 tff(16680,axiom,(~v1(constB143)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_143')).
% 8.00/5.93 tff(16681,plain,
% 8.00/5.93 (~v1(constB143)),
% 8.00/5.93 inference(modus_ponens,[status(thm)],[16680, 16679])).
% 8.00/5.93 tff(16682,plain,
% 8.00/5.93 (((~v1(constB143)) | (~v102(constB143))) | v1(constB143)),
% 8.00/5.93 inference(tautology,[status(thm)],[])).
% 8.00/5.93 tff(16683,plain,
% 8.00/5.93 ((~v1(constB143)) | (~v102(constB143))),
% 8.00/5.93 inference(unit_resolution,[status(thm)],[16682, 16681])).
% 8.00/5.93 tff(16684,plain,
% 8.00/5.93 ((~(v101(constB143) <=> (~((~v1(constB143)) | (~v102(constB143)))))) | (~v101(constB143)) | (~((~v1(constB143)) | (~v102(constB143))))),
% 8.00/5.93 inference(tautology,[status(thm)],[])).
% 8.00/5.93 tff(16685,plain,
% 8.00/5.93 ((~(v101(constB143) <=> (~((~v1(constB143)) | (~v102(constB143)))))) | (~v101(constB143))),
% 8.00/5.93 inference(unit_resolution,[status(thm)],[16684, 16683])).
% 8.00/5.93 tff(16686,plain,
% 8.00/5.93 (~v101(constB143)),
% 8.00/5.93 inference(unit_resolution,[status(thm)],[16685, 16678])).
% 8.00/5.93 tff(16687,plain,
% 8.00/5.93 (((~v101(constB143)) | (~v110(constB143))) | v101(constB143)),
% 8.00/5.93 inference(tautology,[status(thm)],[])).
% 8.00/5.93 tff(16688,plain,
% 8.00/5.93 ((~v101(constB143)) | (~v110(constB143))),
% 8.00/5.93 inference(unit_resolution,[status(thm)],[16687, 16686])).
% 8.00/5.93 tff(16689,plain,
% 8.00/5.93 ((~(v100(constB143) <=> (~((~v101(constB143)) | (~v110(constB143)))))) | (~v100(constB143)) | (~((~v101(constB143)) | (~v110(constB143))))),
% 8.00/5.93 inference(tautology,[status(thm)],[])).
% 8.00/5.93 tff(16690,plain,
% 8.00/5.93 (~v100(constB143)),
% 8.00/5.93 inference(unit_resolution,[status(thm)],[16689, 16688, 16671])).
% 8.00/5.93 tff(16691,plain,
% 8.00/5.93 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB143) | (~nextState(constB142, constB143)) | (~(((~v90(constB143, bitIndex1)) <=> v90(constB142, bitIndex1)) | ((~v90(constB143, bitIndex2)) <=> v90(constB142, bitIndex2)) | ((~v90(constB143, bitIndex0)) <=> v90(constB142, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB143) | (~nextState(constB142, constB143)) | (~(((~v90(constB143, bitIndex1)) <=> v90(constB142, bitIndex1)) | ((~v90(constB143, bitIndex2)) <=> v90(constB142, bitIndex2)) | ((~v90(constB143, bitIndex0)) <=> v90(constB142, bitIndex0)))))),
% 8.00/5.93 inference(rewrite,[status(thm)],[])).
% 8.00/5.93 tff(16692,plain,
% 8.00/5.93 ((v100(constB143) | (~nextState(constB142, constB143)) | (~(((~v90(constB143, bitIndex2)) <=> v90(constB142, bitIndex2)) | ((~v90(constB143, bitIndex1)) <=> v90(constB142, bitIndex1)) | ((~v90(constB143, bitIndex0)) <=> v90(constB142, bitIndex0))))) <=> (v100(constB143) | (~nextState(constB142, constB143)) | (~(((~v90(constB143, bitIndex1)) <=> v90(constB142, bitIndex1)) | ((~v90(constB143, bitIndex2)) <=> v90(constB142, bitIndex2)) | ((~v90(constB143, bitIndex0)) <=> v90(constB142, bitIndex0)))))),
% 8.00/5.93 inference(rewrite,[status(thm)],[])).
% 8.00/5.93 tff(16693,plain,
% 8.00/5.93 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB143) | (~nextState(constB142, constB143)) | (~(((~v90(constB143, bitIndex2)) <=> v90(constB142, bitIndex2)) | ((~v90(constB143, bitIndex1)) <=> v90(constB142, bitIndex1)) | ((~v90(constB143, bitIndex0)) <=> v90(constB142, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB143) | (~nextState(constB142, constB143)) | (~(((~v90(constB143, bitIndex1)) <=> v90(constB142, bitIndex1)) | ((~v90(constB143, bitIndex2)) <=> v90(constB142, bitIndex2)) | ((~v90(constB143, bitIndex0)) <=> v90(constB142, bitIndex0))))))),
% 8.00/5.93 inference(monotonicity,[status(thm)],[16692])).
% 8.00/5.93 tff(16694,plain,
% 8.00/5.93 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB143) | (~nextState(constB142, constB143)) | (~(((~v90(constB143, bitIndex2)) <=> v90(constB142, bitIndex2)) | ((~v90(constB143, bitIndex1)) <=> v90(constB142, bitIndex1)) | ((~v90(constB143, bitIndex0)) <=> v90(constB142, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB143) | (~nextState(constB142, constB143)) | (~(((~v90(constB143, bitIndex1)) <=> v90(constB142, bitIndex1)) | ((~v90(constB143, bitIndex2)) <=> v90(constB142, bitIndex2)) | ((~v90(constB143, bitIndex0)) <=> v90(constB142, bitIndex0)))))),
% 8.00/5.93 inference(transitivity,[status(thm)],[16693, 16691])).
% 8.00/5.93 tff(16695,plain,
% 8.00/5.93 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB143) | (~nextState(constB142, constB143)) | (~(((~v90(constB143, bitIndex2)) <=> v90(constB142, bitIndex2)) | ((~v90(constB143, bitIndex1)) <=> v90(constB142, bitIndex1)) | ((~v90(constB143, bitIndex0)) <=> v90(constB142, bitIndex0)))))),
% 8.00/5.93 inference(quant_inst,[status(thm)],[])).
% 8.00/5.93 tff(16696,plain,
% 8.00/5.93 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB143) | (~nextState(constB142, constB143)) | (~(((~v90(constB143, bitIndex1)) <=> v90(constB142, bitIndex1)) | ((~v90(constB143, bitIndex2)) <=> v90(constB142, bitIndex2)) | ((~v90(constB143, bitIndex0)) <=> v90(constB142, bitIndex0))))),
% 8.00/5.93 inference(modus_ponens,[status(thm)],[16695, 16694])).
% 8.00/5.93 tff(16697,plain,
% 8.00/5.93 (v100(constB143) | (~(((~v90(constB143, bitIndex1)) <=> v90(constB142, bitIndex1)) | ((~v90(constB143, bitIndex2)) <=> v90(constB142, bitIndex2)) | ((~v90(constB143, bitIndex0)) <=> v90(constB142, bitIndex0))))),
% 8.00/5.93 inference(unit_resolution,[status(thm)],[16696, 16667, 494])).
% 8.00/5.93 tff(16698,plain,
% 8.00/5.93 (~(((~v90(constB143, bitIndex1)) <=> v90(constB142, bitIndex1)) | ((~v90(constB143, bitIndex2)) <=> v90(constB142, bitIndex2)) | ((~v90(constB143, bitIndex0)) <=> v90(constB142, bitIndex0)))),
% 8.00/5.93 inference(unit_resolution,[status(thm)],[16697, 16690])).
% 8.00/5.93 tff(16699,plain,
% 8.00/5.93 ((((~v90(constB143, bitIndex1)) <=> v90(constB142, bitIndex1)) | ((~v90(constB143, bitIndex2)) <=> v90(constB142, bitIndex2)) | ((~v90(constB143, bitIndex0)) <=> v90(constB142, bitIndex0))) | (~((~v90(constB143, bitIndex2)) <=> v90(constB142, bitIndex2)))),
% 8.00/5.93 inference(tautology,[status(thm)],[])).
% 8.00/5.93 tff(16700,plain,
% 8.00/5.93 (~((~v90(constB143, bitIndex2)) <=> v90(constB142, bitIndex2))),
% 8.00/5.93 inference(unit_resolution,[status(thm)],[16699, 16698])).
% 8.00/5.93 tff(16701,plain,
% 8.00/5.93 (nextState(constB141, constB142) <=> nextState(constB141, constB142)),
% 8.00/5.93 inference(rewrite,[status(thm)],[])).
% 8.00/5.93 tff(16702,axiom,(nextState(constB141, constB142)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_141')).
% 8.00/5.93 tff(16703,plain,
% 8.00/5.93 (nextState(constB141, constB142)),
% 8.00/5.93 inference(modus_ponens,[status(thm)],[16702, 16701])).
% 8.00/5.93 tff(16704,plain,
% 8.00/5.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB141, constB142)) | (~(((~v129(constB142, bitIndex2)) <=> v127(constB141, bitIndex2)) | ((~v129(constB142, bitIndex1)) <=> v127(constB141, bitIndex1)) | ((~v129(constB142, bitIndex0)) <=> v127(constB141, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB141, constB142)) | (~(((~v129(constB142, bitIndex2)) <=> v127(constB141, bitIndex2)) | ((~v129(constB142, bitIndex1)) <=> v127(constB141, bitIndex1)) | ((~v129(constB142, bitIndex0)) <=> v127(constB141, bitIndex0)))))),
% 8.00/5.93 inference(rewrite,[status(thm)],[])).
% 8.00/5.93 tff(16705,plain,
% 8.00/5.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB141, constB142)) | (~(((~v129(constB142, bitIndex2)) <=> v127(constB141, bitIndex2)) | ((~v129(constB142, bitIndex1)) <=> v127(constB141, bitIndex1)) | ((~v129(constB142, bitIndex0)) <=> v127(constB141, bitIndex0)))))),
% 8.00/5.93 inference(quant_inst,[status(thm)],[])).
% 8.00/5.93 tff(16706,plain,
% 8.00/5.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB141, constB142)) | (~(((~v129(constB142, bitIndex2)) <=> v127(constB141, bitIndex2)) | ((~v129(constB142, bitIndex1)) <=> v127(constB141, bitIndex1)) | ((~v129(constB142, bitIndex0)) <=> v127(constB141, bitIndex0))))),
% 8.00/5.93 inference(modus_ponens,[status(thm)],[16705, 16704])).
% 8.00/5.93 tff(16707,plain,
% 8.00/5.93 (~(((~v129(constB142, bitIndex2)) <=> v127(constB141, bitIndex2)) | ((~v129(constB142, bitIndex1)) <=> v127(constB141, bitIndex1)) | ((~v129(constB142, bitIndex0)) <=> v127(constB141, bitIndex0)))),
% 8.00/5.93 inference(unit_resolution,[status(thm)],[16706, 16703, 517])).
% 8.00/5.93 tff(16708,plain,
% 8.00/5.93 ((((~v129(constB142, bitIndex2)) <=> v127(constB141, bitIndex2)) | ((~v129(constB142, bitIndex1)) <=> v127(constB141, bitIndex1)) | ((~v129(constB142, bitIndex0)) <=> v127(constB141, bitIndex0))) | (~((~v129(constB142, bitIndex2)) <=> v127(constB141, bitIndex2)))),
% 8.00/5.93 inference(tautology,[status(thm)],[])).
% 8.00/5.93 tff(16709,plain,
% 8.00/5.93 (~((~v129(constB142, bitIndex2)) <=> v127(constB141, bitIndex2))),
% 8.00/5.93 inference(unit_resolution,[status(thm)],[16708, 16707])).
% 8.00/5.93 tff(16710,plain,
% 8.00/5.93 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB141) <=> v26(constB141))),
% 8.00/5.93 inference(quant_inst,[status(thm)],[])).
% 8.00/5.93 tff(16711,plain,
% 8.00/5.93 (v111(constB141) <=> v26(constB141)),
% 8.00/5.93 inference(unit_resolution,[status(thm)],[16710, 536])).
% 8.00/5.93 tff(16712,plain,
% 8.00/5.93 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB141))),
% 8.00/5.93 inference(quant_inst,[status(thm)],[])).
% 8.00/5.93 tff(16713,plain,
% 8.00/5.93 (~v26(constB141)),
% 8.00/5.93 inference(unit_resolution,[status(thm)],[16712, 548])).
% 8.00/5.93 tff(16714,plain,
% 8.00/5.93 ((~(v111(constB141) <=> v26(constB141))) | (~v111(constB141)) | v26(constB141)),
% 8.00/5.93 inference(tautology,[status(thm)],[])).
% 8.00/5.93 tff(16715,plain,
% 8.00/5.93 ((~(v111(constB141) <=> v26(constB141))) | (~v111(constB141))),
% 8.00/5.93 inference(unit_resolution,[status(thm)],[16714, 16713])).
% 8.00/5.93 tff(16716,plain,
% 8.00/5.93 (~v111(constB141)),
% 8.00/5.93 inference(unit_resolution,[status(thm)],[16715, 16711])).
% 8.00/5.93 tff(16717,plain,
% 8.00/5.93 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB141) | (~(((~v127(constB141, bitIndex2)) <=> v130(constB141, bitIndex2)) | ((~v127(constB141, bitIndex1)) <=> v130(constB141, bitIndex1)) | ((~v127(constB141, bitIndex0)) <=> v130(constB141, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB141) | (~(((~v127(constB141, bitIndex2)) <=> v130(constB141, bitIndex2)) | ((~v127(constB141, bitIndex1)) <=> v130(constB141, bitIndex1)) | ((~v127(constB141, bitIndex0)) <=> v130(constB141, bitIndex0)))))),
% 8.00/5.93 inference(rewrite,[status(thm)],[])).
% 8.00/5.93 tff(16718,plain,
% 8.00/5.93 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB141) | (~(((~v127(constB141, bitIndex2)) <=> v130(constB141, bitIndex2)) | ((~v127(constB141, bitIndex1)) <=> v130(constB141, bitIndex1)) | ((~v127(constB141, bitIndex0)) <=> v130(constB141, bitIndex0)))))),
% 8.00/5.93 inference(quant_inst,[status(thm)],[])).
% 8.00/5.93 tff(16719,plain,
% 8.00/5.93 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB141) | (~(((~v127(constB141, bitIndex2)) <=> v130(constB141, bitIndex2)) | ((~v127(constB141, bitIndex1)) <=> v130(constB141, bitIndex1)) | ((~v127(constB141, bitIndex0)) <=> v130(constB141, bitIndex0))))),
% 8.00/5.93 inference(modus_ponens,[status(thm)],[16718, 16717])).
% 8.00/5.93 tff(16720,plain,
% 8.00/5.93 (v111(constB141) | (~(((~v127(constB141, bitIndex2)) <=> v130(constB141, bitIndex2)) | ((~v127(constB141, bitIndex1)) <=> v130(constB141, bitIndex1)) | ((~v127(constB141, bitIndex0)) <=> v130(constB141, bitIndex0))))),
% 8.00/5.93 inference(unit_resolution,[status(thm)],[16719, 566])).
% 8.00/5.93 tff(16721,plain,
% 8.00/5.93 (~(((~v127(constB141, bitIndex2)) <=> v130(constB141, bitIndex2)) | ((~v127(constB141, bitIndex1)) <=> v130(constB141, bitIndex1)) | ((~v127(constB141, bitIndex0)) <=> v130(constB141, bitIndex0)))),
% 8.00/5.93 inference(unit_resolution,[status(thm)],[16720, 16716])).
% 8.00/5.93 tff(16722,plain,
% 8.00/5.93 ((((~v127(constB141, bitIndex2)) <=> v130(constB141, bitIndex2)) | ((~v127(constB141, bitIndex1)) <=> v130(constB141, bitIndex1)) | ((~v127(constB141, bitIndex0)) <=> v130(constB141, bitIndex0))) | (~((~v127(constB141, bitIndex2)) <=> v130(constB141, bitIndex2)))),
% 8.00/5.93 inference(tautology,[status(thm)],[])).
% 8.00/5.93 tff(16723,plain,
% 8.00/5.93 (~((~v127(constB141, bitIndex2)) <=> v130(constB141, bitIndex2))),
% 8.00/5.93 inference(unit_resolution,[status(thm)],[16722, 16721])).
% 8.00/5.93 tff(16724,plain,
% 8.00/5.93 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB141) <=> (~(v90(constB141, bitIndex2) | (~v90(constB141, bitIndex1)) | (~v90(constB141, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB141) <=> (~(v90(constB141, bitIndex2) | (~v90(constB141, bitIndex1)) | (~v90(constB141, bitIndex0))))))),
% 8.00/5.93 inference(rewrite,[status(thm)],[])).
% 8.00/5.93 tff(16725,plain,
% 8.00/5.93 ((v122(constB141) <=> (~(v90(constB141, bitIndex2) | (~v90(constB141, bitIndex0)) | (~v90(constB141, bitIndex1))))) <=> (v122(constB141) <=> (~(v90(constB141, bitIndex2) | (~v90(constB141, bitIndex1)) | (~v90(constB141, bitIndex0)))))),
% 8.00/5.93 inference(rewrite,[status(thm)],[])).
% 8.00/5.93 tff(16726,plain,
% 8.00/5.93 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB141) <=> (~(v90(constB141, bitIndex2) | (~v90(constB141, bitIndex0)) | (~v90(constB141, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB141) <=> (~(v90(constB141, bitIndex2) | (~v90(constB141, bitIndex1)) | (~v90(constB141, bitIndex0))))))),
% 8.00/5.93 inference(monotonicity,[status(thm)],[16725])).
% 8.00/5.93 tff(16727,plain,
% 8.00/5.93 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB141) <=> (~(v90(constB141, bitIndex2) | (~v90(constB141, bitIndex0)) | (~v90(constB141, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB141) <=> (~(v90(constB141, bitIndex2) | (~v90(constB141, bitIndex1)) | (~v90(constB141, bitIndex0))))))),
% 8.00/5.93 inference(transitivity,[status(thm)],[16726, 16724])).
% 8.00/5.93 tff(16728,plain,
% 8.00/5.93 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB141) <=> (~(v90(constB141, bitIndex2) | (~v90(constB141, bitIndex0)) | (~v90(constB141, bitIndex1)))))),
% 8.00/5.93 inference(quant_inst,[status(thm)],[])).
% 8.00/5.93 tff(16729,plain,
% 8.00/5.93 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB141) <=> (~(v90(constB141, bitIndex2) | (~v90(constB141, bitIndex1)) | (~v90(constB141, bitIndex0)))))),
% 8.00/5.93 inference(modus_ponens,[status(thm)],[16728, 16727])).
% 8.00/5.93 tff(16730,plain,
% 8.00/5.93 (v122(constB141) <=> (~(v90(constB141, bitIndex2) | (~v90(constB141, bitIndex1)) | (~v90(constB141, bitIndex0))))),
% 8.00/5.93 inference(unit_resolution,[status(thm)],[16729, 879])).
% 8.00/5.93 tff(16731,plain,
% 8.00/5.93 (nextState(constB140, constB141) <=> nextState(constB140, constB141)),
% 8.00/5.93 inference(rewrite,[status(thm)],[])).
% 8.00/5.93 tff(16732,axiom,(nextState(constB140, constB141)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_140')).
% 8.00/5.93 tff(16733,plain,
% 8.00/5.93 (nextState(constB140, constB141)),
% 8.00/5.93 inference(modus_ponens,[status(thm)],[16732, 16731])).
% 8.00/5.93 tff(16734,plain,
% 8.00/5.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB140, constB141)) | (v100(constB141) <=> (~((~v101(constB141)) | (~v110(constB141))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB140, constB141)) | (v100(constB141) <=> (~((~v101(constB141)) | (~v110(constB141))))))),
% 8.00/5.93 inference(rewrite,[status(thm)],[])).
% 8.00/5.93 tff(16735,plain,
% 8.00/5.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB140, constB141)) | (v100(constB141) <=> (~((~v101(constB141)) | (~v110(constB141))))))),
% 8.00/5.93 inference(quant_inst,[status(thm)],[])).
% 8.00/5.93 tff(16736,plain,
% 8.00/5.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB140, constB141)) | (v100(constB141) <=> (~((~v101(constB141)) | (~v110(constB141)))))),
% 8.00/5.93 inference(modus_ponens,[status(thm)],[16735, 16734])).
% 8.00/5.93 tff(16737,plain,
% 8.00/5.93 (v100(constB141) <=> (~((~v101(constB141)) | (~v110(constB141))))),
% 8.00/5.93 inference(unit_resolution,[status(thm)],[16736, 16733, 445])).
% 8.00/5.93 tff(16738,plain,
% 8.00/5.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB140, constB141)) | (v101(constB141) <=> (~((~v1(constB141)) | (~v102(constB141))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB140, constB141)) | (v101(constB141) <=> (~((~v1(constB141)) | (~v102(constB141))))))),
% 8.00/5.93 inference(rewrite,[status(thm)],[])).
% 8.00/5.93 tff(16739,plain,
% 8.00/5.93 (((~nextState(constB140, constB141)) | (v101(constB141) <=> (~((~v102(constB141)) | (~v1(constB141)))))) <=> ((~nextState(constB140, constB141)) | (v101(constB141) <=> (~((~v1(constB141)) | (~v102(constB141))))))),
% 8.00/5.93 inference(rewrite,[status(thm)],[])).
% 8.00/5.93 tff(16740,plain,
% 8.00/5.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB140, constB141)) | (v101(constB141) <=> (~((~v102(constB141)) | (~v1(constB141))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB140, constB141)) | (v101(constB141) <=> (~((~v1(constB141)) | (~v102(constB141)))))))),
% 8.00/5.93 inference(monotonicity,[status(thm)],[16739])).
% 8.00/5.93 tff(16741,plain,
% 8.00/5.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB140, constB141)) | (v101(constB141) <=> (~((~v102(constB141)) | (~v1(constB141))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB140, constB141)) | (v101(constB141) <=> (~((~v1(constB141)) | (~v102(constB141))))))),
% 8.00/5.93 inference(transitivity,[status(thm)],[16740, 16738])).
% 8.00/5.93 tff(16742,plain,
% 8.00/5.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB140, constB141)) | (v101(constB141) <=> (~((~v102(constB141)) | (~v1(constB141))))))),
% 8.00/5.93 inference(quant_inst,[status(thm)],[])).
% 8.00/5.93 tff(16743,plain,
% 8.00/5.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB140, constB141)) | (v101(constB141) <=> (~((~v1(constB141)) | (~v102(constB141)))))),
% 8.00/5.93 inference(modus_ponens,[status(thm)],[16742, 16741])).
% 8.00/5.93 tff(16744,plain,
% 8.00/5.93 (v101(constB141) <=> (~((~v1(constB141)) | (~v102(constB141))))),
% 8.00/5.93 inference(unit_resolution,[status(thm)],[16743, 16733, 465])).
% 8.00/5.93 tff(16745,plain,
% 8.00/5.93 ((~v1(constB141)) <=> (~v1(constB141))),
% 8.00/5.93 inference(rewrite,[status(thm)],[])).
% 8.00/5.93 tff(16746,axiom,(~v1(constB141)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_141')).
% 8.00/5.93 tff(16747,plain,
% 8.00/5.93 (~v1(constB141)),
% 8.00/5.93 inference(modus_ponens,[status(thm)],[16746, 16745])).
% 8.00/5.93 tff(16748,plain,
% 8.00/5.93 (((~v1(constB141)) | (~v102(constB141))) | v1(constB141)),
% 8.00/5.93 inference(tautology,[status(thm)],[])).
% 8.00/5.93 tff(16749,plain,
% 8.00/5.93 ((~v1(constB141)) | (~v102(constB141))),
% 8.00/5.93 inference(unit_resolution,[status(thm)],[16748, 16747])).
% 8.00/5.93 tff(16750,plain,
% 8.00/5.93 ((~(v101(constB141) <=> (~((~v1(constB141)) | (~v102(constB141)))))) | (~v101(constB141)) | (~((~v1(constB141)) | (~v102(constB141))))),
% 8.00/5.93 inference(tautology,[status(thm)],[])).
% 8.00/5.93 tff(16751,plain,
% 8.00/5.93 ((~(v101(constB141) <=> (~((~v1(constB141)) | (~v102(constB141)))))) | (~v101(constB141))),
% 8.00/5.93 inference(unit_resolution,[status(thm)],[16750, 16749])).
% 8.00/5.93 tff(16752,plain,
% 8.00/5.93 (~v101(constB141)),
% 8.00/5.93 inference(unit_resolution,[status(thm)],[16751, 16744])).
% 8.00/5.93 tff(16753,plain,
% 8.00/5.93 (((~v101(constB141)) | (~v110(constB141))) | v101(constB141)),
% 8.00/5.93 inference(tautology,[status(thm)],[])).
% 8.00/5.93 tff(16754,plain,
% 8.00/5.93 ((~v101(constB141)) | (~v110(constB141))),
% 8.00/5.93 inference(unit_resolution,[status(thm)],[16753, 16752])).
% 8.00/5.93 tff(16755,plain,
% 8.00/5.93 ((~(v100(constB141) <=> (~((~v101(constB141)) | (~v110(constB141)))))) | (~v100(constB141)) | (~((~v101(constB141)) | (~v110(constB141))))),
% 8.00/5.94 inference(tautology,[status(thm)],[])).
% 8.00/5.94 tff(16756,plain,
% 8.00/5.94 (~v100(constB141)),
% 8.00/5.94 inference(unit_resolution,[status(thm)],[16755, 16754, 16737])).
% 8.00/5.94 tff(16757,plain,
% 8.00/5.94 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB141) | (~nextState(constB140, constB141)) | (~(((~v90(constB141, bitIndex1)) <=> v90(constB140, bitIndex1)) | ((~v90(constB141, bitIndex2)) <=> v90(constB140, bitIndex2)) | ((~v90(constB141, bitIndex0)) <=> v90(constB140, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB141) | (~nextState(constB140, constB141)) | (~(((~v90(constB141, bitIndex1)) <=> v90(constB140, bitIndex1)) | ((~v90(constB141, bitIndex2)) <=> v90(constB140, bitIndex2)) | ((~v90(constB141, bitIndex0)) <=> v90(constB140, bitIndex0)))))),
% 8.00/5.94 inference(rewrite,[status(thm)],[])).
% 8.00/5.94 tff(16758,plain,
% 8.00/5.94 ((v100(constB141) | (~nextState(constB140, constB141)) | (~(((~v90(constB141, bitIndex2)) <=> v90(constB140, bitIndex2)) | ((~v90(constB141, bitIndex1)) <=> v90(constB140, bitIndex1)) | ((~v90(constB141, bitIndex0)) <=> v90(constB140, bitIndex0))))) <=> (v100(constB141) | (~nextState(constB140, constB141)) | (~(((~v90(constB141, bitIndex1)) <=> v90(constB140, bitIndex1)) | ((~v90(constB141, bitIndex2)) <=> v90(constB140, bitIndex2)) | ((~v90(constB141, bitIndex0)) <=> v90(constB140, bitIndex0)))))),
% 8.00/5.94 inference(rewrite,[status(thm)],[])).
% 8.00/5.94 tff(16759,plain,
% 8.00/5.94 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB141) | (~nextState(constB140, constB141)) | (~(((~v90(constB141, bitIndex2)) <=> v90(constB140, bitIndex2)) | ((~v90(constB141, bitIndex1)) <=> v90(constB140, bitIndex1)) | ((~v90(constB141, bitIndex0)) <=> v90(constB140, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB141) | (~nextState(constB140, constB141)) | (~(((~v90(constB141, bitIndex1)) <=> v90(constB140, bitIndex1)) | ((~v90(constB141, bitIndex2)) <=> v90(constB140, bitIndex2)) | ((~v90(constB141, bitIndex0)) <=> v90(constB140, bitIndex0))))))),
% 8.00/5.94 inference(monotonicity,[status(thm)],[16758])).
% 8.00/5.94 tff(16760,plain,
% 8.00/5.94 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB141) | (~nextState(constB140, constB141)) | (~(((~v90(constB141, bitIndex2)) <=> v90(constB140, bitIndex2)) | ((~v90(constB141, bitIndex1)) <=> v90(constB140, bitIndex1)) | ((~v90(constB141, bitIndex0)) <=> v90(constB140, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB141) | (~nextState(constB140, constB141)) | (~(((~v90(constB141, bitIndex1)) <=> v90(constB140, bitIndex1)) | ((~v90(constB141, bitIndex2)) <=> v90(constB140, bitIndex2)) | ((~v90(constB141, bitIndex0)) <=> v90(constB140, bitIndex0)))))),
% 8.00/5.94 inference(transitivity,[status(thm)],[16759, 16757])).
% 8.00/5.94 tff(16761,plain,
% 8.00/5.94 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB141) | (~nextState(constB140, constB141)) | (~(((~v90(constB141, bitIndex2)) <=> v90(constB140, bitIndex2)) | ((~v90(constB141, bitIndex1)) <=> v90(constB140, bitIndex1)) | ((~v90(constB141, bitIndex0)) <=> v90(constB140, bitIndex0)))))),
% 8.00/5.94 inference(quant_inst,[status(thm)],[])).
% 8.00/5.94 tff(16762,plain,
% 8.00/5.94 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB141) | (~nextState(constB140, constB141)) | (~(((~v90(constB141, bitIndex1)) <=> v90(constB140, bitIndex1)) | ((~v90(constB141, bitIndex2)) <=> v90(constB140, bitIndex2)) | ((~v90(constB141, bitIndex0)) <=> v90(constB140, bitIndex0))))),
% 8.00/5.94 inference(modus_ponens,[status(thm)],[16761, 16760])).
% 8.00/5.94 tff(16763,plain,
% 8.00/5.94 (v100(constB141) | (~(((~v90(constB141, bitIndex1)) <=> v90(constB140, bitIndex1)) | ((~v90(constB141, bitIndex2)) <=> v90(constB140, bitIndex2)) | ((~v90(constB141, bitIndex0)) <=> v90(constB140, bitIndex0))))),
% 8.00/5.94 inference(unit_resolution,[status(thm)],[16762, 16733, 494])).
% 8.00/5.94 tff(16764,plain,
% 8.00/5.94 (~(((~v90(constB141, bitIndex1)) <=> v90(constB140, bitIndex1)) | ((~v90(constB141, bitIndex2)) <=> v90(constB140, bitIndex2)) | ((~v90(constB141, bitIndex0)) <=> v90(constB140, bitIndex0)))),
% 8.00/5.94 inference(unit_resolution,[status(thm)],[16763, 16756])).
% 8.00/5.94 tff(16765,plain,
% 8.00/5.94 ((((~v90(constB141, bitIndex1)) <=> v90(constB140, bitIndex1)) | ((~v90(constB141, bitIndex2)) <=> v90(constB140, bitIndex2)) | ((~v90(constB141, bitIndex0)) <=> v90(constB140, bitIndex0))) | (~((~v90(constB141, bitIndex2)) <=> v90(constB140, bitIndex2)))),
% 8.00/5.94 inference(tautology,[status(thm)],[])).
% 8.00/5.94 tff(16766,plain,
% 8.00/5.94 (~((~v90(constB141, bitIndex2)) <=> v90(constB140, bitIndex2))),
% 8.00/5.94 inference(unit_resolution,[status(thm)],[16765, 16764])).
% 8.00/5.94 tff(16767,plain,
% 8.00/5.94 (nextState(constB139, constB140) <=> nextState(constB139, constB140)),
% 8.00/5.94 inference(rewrite,[status(thm)],[])).
% 8.00/5.94 tff(16768,axiom,(nextState(constB139, constB140)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_139')).
% 8.00/5.94 tff(16769,plain,
% 8.00/5.94 (nextState(constB139, constB140)),
% 8.00/5.94 inference(modus_ponens,[status(thm)],[16768, 16767])).
% 8.00/5.94 tff(16770,plain,
% 8.00/5.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB139, constB140)) | (~(((~v129(constB140, bitIndex2)) <=> v127(constB139, bitIndex2)) | ((~v129(constB140, bitIndex1)) <=> v127(constB139, bitIndex1)) | ((~v129(constB140, bitIndex0)) <=> v127(constB139, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB139, constB140)) | (~(((~v129(constB140, bitIndex2)) <=> v127(constB139, bitIndex2)) | ((~v129(constB140, bitIndex1)) <=> v127(constB139, bitIndex1)) | ((~v129(constB140, bitIndex0)) <=> v127(constB139, bitIndex0)))))),
% 8.00/5.94 inference(rewrite,[status(thm)],[])).
% 8.00/5.94 tff(16771,plain,
% 8.00/5.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB139, constB140)) | (~(((~v129(constB140, bitIndex2)) <=> v127(constB139, bitIndex2)) | ((~v129(constB140, bitIndex1)) <=> v127(constB139, bitIndex1)) | ((~v129(constB140, bitIndex0)) <=> v127(constB139, bitIndex0)))))),
% 8.00/5.94 inference(quant_inst,[status(thm)],[])).
% 8.00/5.94 tff(16772,plain,
% 8.00/5.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB139, constB140)) | (~(((~v129(constB140, bitIndex2)) <=> v127(constB139, bitIndex2)) | ((~v129(constB140, bitIndex1)) <=> v127(constB139, bitIndex1)) | ((~v129(constB140, bitIndex0)) <=> v127(constB139, bitIndex0))))),
% 8.00/5.94 inference(modus_ponens,[status(thm)],[16771, 16770])).
% 8.00/5.94 tff(16773,plain,
% 8.00/5.94 (~(((~v129(constB140, bitIndex2)) <=> v127(constB139, bitIndex2)) | ((~v129(constB140, bitIndex1)) <=> v127(constB139, bitIndex1)) | ((~v129(constB140, bitIndex0)) <=> v127(constB139, bitIndex0)))),
% 8.00/5.94 inference(unit_resolution,[status(thm)],[16772, 16769, 517])).
% 8.00/5.94 tff(16774,plain,
% 8.00/5.94 ((((~v129(constB140, bitIndex2)) <=> v127(constB139, bitIndex2)) | ((~v129(constB140, bitIndex1)) <=> v127(constB139, bitIndex1)) | ((~v129(constB140, bitIndex0)) <=> v127(constB139, bitIndex0))) | (~((~v129(constB140, bitIndex2)) <=> v127(constB139, bitIndex2)))),
% 8.00/5.94 inference(tautology,[status(thm)],[])).
% 8.00/5.94 tff(16775,plain,
% 8.00/5.94 (~((~v129(constB140, bitIndex2)) <=> v127(constB139, bitIndex2))),
% 8.00/5.94 inference(unit_resolution,[status(thm)],[16774, 16773])).
% 8.00/5.94 tff(16776,plain,
% 8.00/5.94 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB139) <=> v26(constB139))),
% 8.00/5.94 inference(quant_inst,[status(thm)],[])).
% 8.00/5.94 tff(16777,plain,
% 8.00/5.94 (v111(constB139) <=> v26(constB139)),
% 8.00/5.94 inference(unit_resolution,[status(thm)],[16776, 536])).
% 8.00/5.94 tff(16778,plain,
% 8.00/5.94 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB139))),
% 8.00/5.94 inference(quant_inst,[status(thm)],[])).
% 8.00/5.94 tff(16779,plain,
% 8.00/5.94 (~v26(constB139)),
% 8.00/5.94 inference(unit_resolution,[status(thm)],[16778, 548])).
% 8.00/5.94 tff(16780,plain,
% 8.00/5.94 ((~(v111(constB139) <=> v26(constB139))) | (~v111(constB139)) | v26(constB139)),
% 8.00/5.94 inference(tautology,[status(thm)],[])).
% 8.00/5.94 tff(16781,plain,
% 8.00/5.94 ((~(v111(constB139) <=> v26(constB139))) | (~v111(constB139))),
% 8.00/5.94 inference(unit_resolution,[status(thm)],[16780, 16779])).
% 8.00/5.94 tff(16782,plain,
% 8.00/5.94 (~v111(constB139)),
% 8.00/5.94 inference(unit_resolution,[status(thm)],[16781, 16777])).
% 8.00/5.94 tff(16783,plain,
% 8.00/5.94 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB139) | (~(((~v127(constB139, bitIndex2)) <=> v130(constB139, bitIndex2)) | ((~v127(constB139, bitIndex1)) <=> v130(constB139, bitIndex1)) | ((~v127(constB139, bitIndex0)) <=> v130(constB139, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB139) | (~(((~v127(constB139, bitIndex2)) <=> v130(constB139, bitIndex2)) | ((~v127(constB139, bitIndex1)) <=> v130(constB139, bitIndex1)) | ((~v127(constB139, bitIndex0)) <=> v130(constB139, bitIndex0)))))),
% 8.00/5.94 inference(rewrite,[status(thm)],[])).
% 8.00/5.94 tff(16784,plain,
% 8.00/5.94 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB139) | (~(((~v127(constB139, bitIndex2)) <=> v130(constB139, bitIndex2)) | ((~v127(constB139, bitIndex1)) <=> v130(constB139, bitIndex1)) | ((~v127(constB139, bitIndex0)) <=> v130(constB139, bitIndex0)))))),
% 8.00/5.94 inference(quant_inst,[status(thm)],[])).
% 8.00/5.94 tff(16785,plain,
% 8.00/5.94 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB139) | (~(((~v127(constB139, bitIndex2)) <=> v130(constB139, bitIndex2)) | ((~v127(constB139, bitIndex1)) <=> v130(constB139, bitIndex1)) | ((~v127(constB139, bitIndex0)) <=> v130(constB139, bitIndex0))))),
% 8.00/5.94 inference(modus_ponens,[status(thm)],[16784, 16783])).
% 8.00/5.94 tff(16786,plain,
% 8.00/5.94 (v111(constB139) | (~(((~v127(constB139, bitIndex2)) <=> v130(constB139, bitIndex2)) | ((~v127(constB139, bitIndex1)) <=> v130(constB139, bitIndex1)) | ((~v127(constB139, bitIndex0)) <=> v130(constB139, bitIndex0))))),
% 8.00/5.94 inference(unit_resolution,[status(thm)],[16785, 566])).
% 8.00/5.94 tff(16787,plain,
% 8.00/5.94 (~(((~v127(constB139, bitIndex2)) <=> v130(constB139, bitIndex2)) | ((~v127(constB139, bitIndex1)) <=> v130(constB139, bitIndex1)) | ((~v127(constB139, bitIndex0)) <=> v130(constB139, bitIndex0)))),
% 8.00/5.94 inference(unit_resolution,[status(thm)],[16786, 16782])).
% 8.00/5.94 tff(16788,plain,
% 8.00/5.94 ((((~v127(constB139, bitIndex2)) <=> v130(constB139, bitIndex2)) | ((~v127(constB139, bitIndex1)) <=> v130(constB139, bitIndex1)) | ((~v127(constB139, bitIndex0)) <=> v130(constB139, bitIndex0))) | (~((~v127(constB139, bitIndex2)) <=> v130(constB139, bitIndex2)))),
% 8.00/5.94 inference(tautology,[status(thm)],[])).
% 8.00/5.94 tff(16789,plain,
% 8.00/5.94 (~((~v127(constB139, bitIndex2)) <=> v130(constB139, bitIndex2))),
% 8.00/5.94 inference(unit_resolution,[status(thm)],[16788, 16787])).
% 8.00/5.94 tff(16790,plain,
% 8.00/5.94 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB139) <=> (~(v90(constB139, bitIndex2) | v90(constB139, bitIndex0) | (~v90(constB139, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB139) <=> (~(v90(constB139, bitIndex2) | v90(constB139, bitIndex0) | (~v90(constB139, bitIndex1))))))),
% 8.00/5.94 inference(rewrite,[status(thm)],[])).
% 8.00/5.94 tff(16791,plain,
% 8.00/5.94 ((v121(constB139) <=> (~(v90(constB139, bitIndex0) | v90(constB139, bitIndex2) | (~v90(constB139, bitIndex1))))) <=> (v121(constB139) <=> (~(v90(constB139, bitIndex2) | v90(constB139, bitIndex0) | (~v90(constB139, bitIndex1)))))),
% 8.00/5.94 inference(rewrite,[status(thm)],[])).
% 8.00/5.94 tff(16792,plain,
% 8.00/5.94 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB139) <=> (~(v90(constB139, bitIndex0) | v90(constB139, bitIndex2) | (~v90(constB139, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB139) <=> (~(v90(constB139, bitIndex2) | v90(constB139, bitIndex0) | (~v90(constB139, bitIndex1))))))),
% 8.00/5.94 inference(monotonicity,[status(thm)],[16791])).
% 8.00/5.94 tff(16793,plain,
% 8.00/5.94 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB139) <=> (~(v90(constB139, bitIndex0) | v90(constB139, bitIndex2) | (~v90(constB139, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB139) <=> (~(v90(constB139, bitIndex2) | v90(constB139, bitIndex0) | (~v90(constB139, bitIndex1))))))),
% 8.00/5.94 inference(transitivity,[status(thm)],[16792, 16790])).
% 8.00/5.94 tff(16794,plain,
% 8.00/5.94 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB139) <=> (~(v90(constB139, bitIndex0) | v90(constB139, bitIndex2) | (~v90(constB139, bitIndex1)))))),
% 8.00/5.94 inference(quant_inst,[status(thm)],[])).
% 8.00/5.94 tff(16795,plain,
% 8.00/5.94 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB139) <=> (~(v90(constB139, bitIndex2) | v90(constB139, bitIndex0) | (~v90(constB139, bitIndex1)))))),
% 8.00/5.94 inference(modus_ponens,[status(thm)],[16794, 16793])).
% 8.00/5.94 tff(16796,plain,
% 8.00/5.94 (v121(constB139) <=> (~(v90(constB139, bitIndex2) | v90(constB139, bitIndex0) | (~v90(constB139, bitIndex1))))),
% 8.00/5.94 inference(unit_resolution,[status(thm)],[16795, 586])).
% 8.00/5.94 tff(16797,plain,
% 8.00/5.94 (nextState(constB138, constB139) <=> nextState(constB138, constB139)),
% 8.00/5.94 inference(rewrite,[status(thm)],[])).
% 8.00/5.94 tff(16798,axiom,(nextState(constB138, constB139)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_138')).
% 8.00/5.94 tff(16799,plain,
% 8.00/5.94 (nextState(constB138, constB139)),
% 8.00/5.94 inference(modus_ponens,[status(thm)],[16798, 16797])).
% 8.00/5.94 tff(16800,plain,
% 8.00/5.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB138, constB139)) | (v100(constB139) <=> (~((~v101(constB139)) | (~v110(constB139))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB138, constB139)) | (v100(constB139) <=> (~((~v101(constB139)) | (~v110(constB139))))))),
% 8.00/5.94 inference(rewrite,[status(thm)],[])).
% 8.00/5.94 tff(16801,plain,
% 8.00/5.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB138, constB139)) | (v100(constB139) <=> (~((~v101(constB139)) | (~v110(constB139))))))),
% 8.00/5.94 inference(quant_inst,[status(thm)],[])).
% 8.00/5.94 tff(16802,plain,
% 8.00/5.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB138, constB139)) | (v100(constB139) <=> (~((~v101(constB139)) | (~v110(constB139)))))),
% 8.00/5.94 inference(modus_ponens,[status(thm)],[16801, 16800])).
% 8.00/5.94 tff(16803,plain,
% 8.00/5.94 (v100(constB139) <=> (~((~v101(constB139)) | (~v110(constB139))))),
% 8.00/5.94 inference(unit_resolution,[status(thm)],[16802, 16799, 445])).
% 8.00/5.94 tff(16804,plain,
% 8.00/5.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB138, constB139)) | (v101(constB139) <=> (~((~v1(constB139)) | (~v102(constB139))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB138, constB139)) | (v101(constB139) <=> (~((~v1(constB139)) | (~v102(constB139))))))),
% 8.00/5.94 inference(rewrite,[status(thm)],[])).
% 8.00/5.94 tff(16805,plain,
% 8.00/5.94 (((~nextState(constB138, constB139)) | (v101(constB139) <=> (~((~v102(constB139)) | (~v1(constB139)))))) <=> ((~nextState(constB138, constB139)) | (v101(constB139) <=> (~((~v1(constB139)) | (~v102(constB139))))))),
% 8.00/5.94 inference(rewrite,[status(thm)],[])).
% 8.00/5.94 tff(16806,plain,
% 8.00/5.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB138, constB139)) | (v101(constB139) <=> (~((~v102(constB139)) | (~v1(constB139))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB138, constB139)) | (v101(constB139) <=> (~((~v1(constB139)) | (~v102(constB139)))))))),
% 8.00/5.94 inference(monotonicity,[status(thm)],[16805])).
% 8.00/5.94 tff(16807,plain,
% 8.00/5.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB138, constB139)) | (v101(constB139) <=> (~((~v102(constB139)) | (~v1(constB139))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB138, constB139)) | (v101(constB139) <=> (~((~v1(constB139)) | (~v102(constB139))))))),
% 8.00/5.94 inference(transitivity,[status(thm)],[16806, 16804])).
% 8.00/5.94 tff(16808,plain,
% 8.00/5.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB138, constB139)) | (v101(constB139) <=> (~((~v102(constB139)) | (~v1(constB139))))))),
% 8.00/5.94 inference(quant_inst,[status(thm)],[])).
% 8.00/5.94 tff(16809,plain,
% 8.00/5.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB138, constB139)) | (v101(constB139) <=> (~((~v1(constB139)) | (~v102(constB139)))))),
% 8.00/5.94 inference(modus_ponens,[status(thm)],[16808, 16807])).
% 8.00/5.94 tff(16810,plain,
% 8.00/5.94 (v101(constB139) <=> (~((~v1(constB139)) | (~v102(constB139))))),
% 8.00/5.94 inference(unit_resolution,[status(thm)],[16809, 16799, 465])).
% 8.00/5.94 tff(16811,plain,
% 8.00/5.94 ((~v1(constB139)) <=> (~v1(constB139))),
% 8.00/5.94 inference(rewrite,[status(thm)],[])).
% 8.00/5.94 tff(16812,axiom,(~v1(constB139)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_139')).
% 8.00/5.94 tff(16813,plain,
% 8.00/5.94 (~v1(constB139)),
% 8.00/5.94 inference(modus_ponens,[status(thm)],[16812, 16811])).
% 8.00/5.94 tff(16814,plain,
% 8.00/5.94 (((~v1(constB139)) | (~v102(constB139))) | v1(constB139)),
% 8.00/5.94 inference(tautology,[status(thm)],[])).
% 8.00/5.94 tff(16815,plain,
% 8.00/5.94 ((~v1(constB139)) | (~v102(constB139))),
% 8.00/5.94 inference(unit_resolution,[status(thm)],[16814, 16813])).
% 8.00/5.94 tff(16816,plain,
% 8.00/5.94 ((~(v101(constB139) <=> (~((~v1(constB139)) | (~v102(constB139)))))) | (~v101(constB139)) | (~((~v1(constB139)) | (~v102(constB139))))),
% 8.00/5.94 inference(tautology,[status(thm)],[])).
% 8.00/5.94 tff(16817,plain,
% 8.00/5.94 ((~(v101(constB139) <=> (~((~v1(constB139)) | (~v102(constB139)))))) | (~v101(constB139))),
% 8.00/5.94 inference(unit_resolution,[status(thm)],[16816, 16815])).
% 8.00/5.94 tff(16818,plain,
% 8.00/5.94 (~v101(constB139)),
% 8.00/5.94 inference(unit_resolution,[status(thm)],[16817, 16810])).
% 8.00/5.94 tff(16819,plain,
% 8.00/5.94 (((~v101(constB139)) | (~v110(constB139))) | v101(constB139)),
% 8.00/5.94 inference(tautology,[status(thm)],[])).
% 8.00/5.94 tff(16820,plain,
% 8.00/5.94 ((~v101(constB139)) | (~v110(constB139))),
% 8.00/5.94 inference(unit_resolution,[status(thm)],[16819, 16818])).
% 8.00/5.94 tff(16821,plain,
% 8.00/5.94 ((~(v100(constB139) <=> (~((~v101(constB139)) | (~v110(constB139)))))) | (~v100(constB139)) | (~((~v101(constB139)) | (~v110(constB139))))),
% 8.00/5.94 inference(tautology,[status(thm)],[])).
% 8.00/5.94 tff(16822,plain,
% 8.00/5.94 (~v100(constB139)),
% 8.00/5.94 inference(unit_resolution,[status(thm)],[16821, 16820, 16803])).
% 8.00/5.94 tff(16823,plain,
% 8.00/5.94 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB139) | (~nextState(constB138, constB139)) | (~(((~v90(constB139, bitIndex1)) <=> v90(constB138, bitIndex1)) | ((~v90(constB139, bitIndex2)) <=> v90(constB138, bitIndex2)) | ((~v90(constB139, bitIndex0)) <=> v90(constB138, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB139) | (~nextState(constB138, constB139)) | (~(((~v90(constB139, bitIndex1)) <=> v90(constB138, bitIndex1)) | ((~v90(constB139, bitIndex2)) <=> v90(constB138, bitIndex2)) | ((~v90(constB139, bitIndex0)) <=> v90(constB138, bitIndex0)))))),
% 8.00/5.94 inference(rewrite,[status(thm)],[])).
% 8.00/5.94 tff(16824,plain,
% 8.00/5.94 ((v100(constB139) | (~nextState(constB138, constB139)) | (~(((~v90(constB139, bitIndex2)) <=> v90(constB138, bitIndex2)) | ((~v90(constB139, bitIndex1)) <=> v90(constB138, bitIndex1)) | ((~v90(constB139, bitIndex0)) <=> v90(constB138, bitIndex0))))) <=> (v100(constB139) | (~nextState(constB138, constB139)) | (~(((~v90(constB139, bitIndex1)) <=> v90(constB138, bitIndex1)) | ((~v90(constB139, bitIndex2)) <=> v90(constB138, bitIndex2)) | ((~v90(constB139, bitIndex0)) <=> v90(constB138, bitIndex0)))))),
% 8.00/5.94 inference(rewrite,[status(thm)],[])).
% 8.00/5.94 tff(16825,plain,
% 8.00/5.94 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB139) | (~nextState(constB138, constB139)) | (~(((~v90(constB139, bitIndex2)) <=> v90(constB138, bitIndex2)) | ((~v90(constB139, bitIndex1)) <=> v90(constB138, bitIndex1)) | ((~v90(constB139, bitIndex0)) <=> v90(constB138, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB139) | (~nextState(constB138, constB139)) | (~(((~v90(constB139, bitIndex1)) <=> v90(constB138, bitIndex1)) | ((~v90(constB139, bitIndex2)) <=> v90(constB138, bitIndex2)) | ((~v90(constB139, bitIndex0)) <=> v90(constB138, bitIndex0))))))),
% 8.00/5.94 inference(monotonicity,[status(thm)],[16824])).
% 8.00/5.94 tff(16826,plain,
% 8.00/5.94 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB139) | (~nextState(constB138, constB139)) | (~(((~v90(constB139, bitIndex2)) <=> v90(constB138, bitIndex2)) | ((~v90(constB139, bitIndex1)) <=> v90(constB138, bitIndex1)) | ((~v90(constB139, bitIndex0)) <=> v90(constB138, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB139) | (~nextState(constB138, constB139)) | (~(((~v90(constB139, bitIndex1)) <=> v90(constB138, bitIndex1)) | ((~v90(constB139, bitIndex2)) <=> v90(constB138, bitIndex2)) | ((~v90(constB139, bitIndex0)) <=> v90(constB138, bitIndex0)))))),
% 8.00/5.95 inference(transitivity,[status(thm)],[16825, 16823])).
% 8.00/5.95 tff(16827,plain,
% 8.00/5.95 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB139) | (~nextState(constB138, constB139)) | (~(((~v90(constB139, bitIndex2)) <=> v90(constB138, bitIndex2)) | ((~v90(constB139, bitIndex1)) <=> v90(constB138, bitIndex1)) | ((~v90(constB139, bitIndex0)) <=> v90(constB138, bitIndex0)))))),
% 8.00/5.95 inference(quant_inst,[status(thm)],[])).
% 8.00/5.95 tff(16828,plain,
% 8.00/5.95 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB139) | (~nextState(constB138, constB139)) | (~(((~v90(constB139, bitIndex1)) <=> v90(constB138, bitIndex1)) | ((~v90(constB139, bitIndex2)) <=> v90(constB138, bitIndex2)) | ((~v90(constB139, bitIndex0)) <=> v90(constB138, bitIndex0))))),
% 8.00/5.95 inference(modus_ponens,[status(thm)],[16827, 16826])).
% 8.00/5.95 tff(16829,plain,
% 8.00/5.95 (v100(constB139) | (~(((~v90(constB139, bitIndex1)) <=> v90(constB138, bitIndex1)) | ((~v90(constB139, bitIndex2)) <=> v90(constB138, bitIndex2)) | ((~v90(constB139, bitIndex0)) <=> v90(constB138, bitIndex0))))),
% 8.00/5.95 inference(unit_resolution,[status(thm)],[16828, 16799, 494])).
% 8.00/5.95 tff(16830,plain,
% 8.00/5.95 (~(((~v90(constB139, bitIndex1)) <=> v90(constB138, bitIndex1)) | ((~v90(constB139, bitIndex2)) <=> v90(constB138, bitIndex2)) | ((~v90(constB139, bitIndex0)) <=> v90(constB138, bitIndex0)))),
% 8.00/5.95 inference(unit_resolution,[status(thm)],[16829, 16822])).
% 8.00/5.95 tff(16831,plain,
% 8.00/5.95 ((((~v90(constB139, bitIndex1)) <=> v90(constB138, bitIndex1)) | ((~v90(constB139, bitIndex2)) <=> v90(constB138, bitIndex2)) | ((~v90(constB139, bitIndex0)) <=> v90(constB138, bitIndex0))) | (~((~v90(constB139, bitIndex2)) <=> v90(constB138, bitIndex2)))),
% 8.00/5.95 inference(tautology,[status(thm)],[])).
% 8.00/5.95 tff(16832,plain,
% 8.00/5.95 (~((~v90(constB139, bitIndex2)) <=> v90(constB138, bitIndex2))),
% 8.00/5.95 inference(unit_resolution,[status(thm)],[16831, 16830])).
% 8.00/5.95 tff(16833,plain,
% 8.00/5.95 (nextState(constB137, constB138) <=> nextState(constB137, constB138)),
% 8.00/5.95 inference(rewrite,[status(thm)],[])).
% 8.00/5.95 tff(16834,axiom,(nextState(constB137, constB138)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_137')).
% 8.00/5.95 tff(16835,plain,
% 8.00/5.95 (nextState(constB137, constB138)),
% 8.00/5.95 inference(modus_ponens,[status(thm)],[16834, 16833])).
% 8.00/5.95 tff(16836,plain,
% 8.00/5.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB137, constB138)) | (~(((~v129(constB138, bitIndex2)) <=> v127(constB137, bitIndex2)) | ((~v129(constB138, bitIndex1)) <=> v127(constB137, bitIndex1)) | ((~v129(constB138, bitIndex0)) <=> v127(constB137, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB137, constB138)) | (~(((~v129(constB138, bitIndex2)) <=> v127(constB137, bitIndex2)) | ((~v129(constB138, bitIndex1)) <=> v127(constB137, bitIndex1)) | ((~v129(constB138, bitIndex0)) <=> v127(constB137, bitIndex0)))))),
% 8.00/5.95 inference(rewrite,[status(thm)],[])).
% 8.00/5.95 tff(16837,plain,
% 8.00/5.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB137, constB138)) | (~(((~v129(constB138, bitIndex2)) <=> v127(constB137, bitIndex2)) | ((~v129(constB138, bitIndex1)) <=> v127(constB137, bitIndex1)) | ((~v129(constB138, bitIndex0)) <=> v127(constB137, bitIndex0)))))),
% 8.00/5.95 inference(quant_inst,[status(thm)],[])).
% 8.00/5.95 tff(16838,plain,
% 8.00/5.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB137, constB138)) | (~(((~v129(constB138, bitIndex2)) <=> v127(constB137, bitIndex2)) | ((~v129(constB138, bitIndex1)) <=> v127(constB137, bitIndex1)) | ((~v129(constB138, bitIndex0)) <=> v127(constB137, bitIndex0))))),
% 8.00/5.95 inference(modus_ponens,[status(thm)],[16837, 16836])).
% 8.00/5.95 tff(16839,plain,
% 8.00/5.95 (~(((~v129(constB138, bitIndex2)) <=> v127(constB137, bitIndex2)) | ((~v129(constB138, bitIndex1)) <=> v127(constB137, bitIndex1)) | ((~v129(constB138, bitIndex0)) <=> v127(constB137, bitIndex0)))),
% 8.00/5.95 inference(unit_resolution,[status(thm)],[16838, 16835, 517])).
% 8.00/5.95 tff(16840,plain,
% 8.00/5.95 ((((~v129(constB138, bitIndex2)) <=> v127(constB137, bitIndex2)) | ((~v129(constB138, bitIndex1)) <=> v127(constB137, bitIndex1)) | ((~v129(constB138, bitIndex0)) <=> v127(constB137, bitIndex0))) | (~((~v129(constB138, bitIndex2)) <=> v127(constB137, bitIndex2)))),
% 8.00/5.95 inference(tautology,[status(thm)],[])).
% 8.00/5.95 tff(16841,plain,
% 8.00/5.95 (~((~v129(constB138, bitIndex2)) <=> v127(constB137, bitIndex2))),
% 8.00/5.95 inference(unit_resolution,[status(thm)],[16840, 16839])).
% 8.00/5.95 tff(16842,plain,
% 8.00/5.95 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB137) <=> v26(constB137))),
% 8.00/5.95 inference(quant_inst,[status(thm)],[])).
% 8.00/5.95 tff(16843,plain,
% 8.00/5.95 (v111(constB137) <=> v26(constB137)),
% 8.00/5.95 inference(unit_resolution,[status(thm)],[16842, 536])).
% 8.00/5.95 tff(16844,plain,
% 8.00/5.95 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB137))),
% 8.00/5.95 inference(quant_inst,[status(thm)],[])).
% 8.00/5.95 tff(16845,plain,
% 8.00/5.95 (~v26(constB137)),
% 8.00/5.95 inference(unit_resolution,[status(thm)],[16844, 548])).
% 8.00/5.95 tff(16846,plain,
% 8.00/5.95 ((~(v111(constB137) <=> v26(constB137))) | (~v111(constB137)) | v26(constB137)),
% 8.00/5.95 inference(tautology,[status(thm)],[])).
% 8.00/5.95 tff(16847,plain,
% 8.00/5.95 ((~(v111(constB137) <=> v26(constB137))) | (~v111(constB137))),
% 8.00/5.95 inference(unit_resolution,[status(thm)],[16846, 16845])).
% 8.00/5.95 tff(16848,plain,
% 8.00/5.95 (~v111(constB137)),
% 8.00/5.95 inference(unit_resolution,[status(thm)],[16847, 16843])).
% 8.00/5.95 tff(16849,plain,
% 8.00/5.95 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB137) | (~(((~v127(constB137, bitIndex2)) <=> v130(constB137, bitIndex2)) | ((~v127(constB137, bitIndex1)) <=> v130(constB137, bitIndex1)) | ((~v127(constB137, bitIndex0)) <=> v130(constB137, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB137) | (~(((~v127(constB137, bitIndex2)) <=> v130(constB137, bitIndex2)) | ((~v127(constB137, bitIndex1)) <=> v130(constB137, bitIndex1)) | ((~v127(constB137, bitIndex0)) <=> v130(constB137, bitIndex0)))))),
% 8.00/5.95 inference(rewrite,[status(thm)],[])).
% 8.00/5.95 tff(16850,plain,
% 8.00/5.95 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB137) | (~(((~v127(constB137, bitIndex2)) <=> v130(constB137, bitIndex2)) | ((~v127(constB137, bitIndex1)) <=> v130(constB137, bitIndex1)) | ((~v127(constB137, bitIndex0)) <=> v130(constB137, bitIndex0)))))),
% 8.00/5.95 inference(quant_inst,[status(thm)],[])).
% 8.00/5.95 tff(16851,plain,
% 8.00/5.95 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB137) | (~(((~v127(constB137, bitIndex2)) <=> v130(constB137, bitIndex2)) | ((~v127(constB137, bitIndex1)) <=> v130(constB137, bitIndex1)) | ((~v127(constB137, bitIndex0)) <=> v130(constB137, bitIndex0))))),
% 8.00/5.95 inference(modus_ponens,[status(thm)],[16850, 16849])).
% 8.00/5.95 tff(16852,plain,
% 8.00/5.95 (v111(constB137) | (~(((~v127(constB137, bitIndex2)) <=> v130(constB137, bitIndex2)) | ((~v127(constB137, bitIndex1)) <=> v130(constB137, bitIndex1)) | ((~v127(constB137, bitIndex0)) <=> v130(constB137, bitIndex0))))),
% 8.00/5.95 inference(unit_resolution,[status(thm)],[16851, 566])).
% 8.00/5.95 tff(16853,plain,
% 8.00/5.95 (~(((~v127(constB137, bitIndex2)) <=> v130(constB137, bitIndex2)) | ((~v127(constB137, bitIndex1)) <=> v130(constB137, bitIndex1)) | ((~v127(constB137, bitIndex0)) <=> v130(constB137, bitIndex0)))),
% 8.00/5.95 inference(unit_resolution,[status(thm)],[16852, 16848])).
% 8.00/5.95 tff(16854,plain,
% 8.00/5.95 ((((~v127(constB137, bitIndex2)) <=> v130(constB137, bitIndex2)) | ((~v127(constB137, bitIndex1)) <=> v130(constB137, bitIndex1)) | ((~v127(constB137, bitIndex0)) <=> v130(constB137, bitIndex0))) | (~((~v127(constB137, bitIndex2)) <=> v130(constB137, bitIndex2)))),
% 8.00/5.95 inference(tautology,[status(thm)],[])).
% 8.00/5.95 tff(16855,plain,
% 8.00/5.95 (~((~v127(constB137, bitIndex2)) <=> v130(constB137, bitIndex2))),
% 8.00/5.95 inference(unit_resolution,[status(thm)],[16854, 16853])).
% 8.00/5.95 tff(16856,plain,
% 8.00/5.95 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB137) <=> (~(v90(constB137, bitIndex1) | v90(constB137, bitIndex2) | (~v90(constB137, bitIndex0)))))),
% 8.00/5.95 inference(quant_inst,[status(thm)],[])).
% 8.00/5.95 tff(16857,plain,
% 8.00/5.95 (v120(constB137) <=> (~(v90(constB137, bitIndex1) | v90(constB137, bitIndex2) | (~v90(constB137, bitIndex0))))),
% 8.00/5.95 inference(unit_resolution,[status(thm)],[16856, 665])).
% 8.00/5.95 tff(16858,plain,
% 8.00/5.95 (nextState(constB136, constB137) <=> nextState(constB136, constB137)),
% 8.00/5.95 inference(rewrite,[status(thm)],[])).
% 8.00/5.95 tff(16859,axiom,(nextState(constB136, constB137)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_136')).
% 8.00/5.95 tff(16860,plain,
% 8.00/5.95 (nextState(constB136, constB137)),
% 8.00/5.95 inference(modus_ponens,[status(thm)],[16859, 16858])).
% 8.00/5.95 tff(16861,plain,
% 8.00/5.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB136, constB137)) | (v100(constB137) <=> (~((~v101(constB137)) | (~v110(constB137))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB136, constB137)) | (v100(constB137) <=> (~((~v101(constB137)) | (~v110(constB137))))))),
% 8.00/5.95 inference(rewrite,[status(thm)],[])).
% 8.00/5.95 tff(16862,plain,
% 8.00/5.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB136, constB137)) | (v100(constB137) <=> (~((~v101(constB137)) | (~v110(constB137))))))),
% 8.00/5.95 inference(quant_inst,[status(thm)],[])).
% 8.00/5.95 tff(16863,plain,
% 8.00/5.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB136, constB137)) | (v100(constB137) <=> (~((~v101(constB137)) | (~v110(constB137)))))),
% 8.00/5.95 inference(modus_ponens,[status(thm)],[16862, 16861])).
% 8.00/5.95 tff(16864,plain,
% 8.00/5.95 (v100(constB137) <=> (~((~v101(constB137)) | (~v110(constB137))))),
% 8.00/5.95 inference(unit_resolution,[status(thm)],[16863, 16860, 445])).
% 8.00/5.95 tff(16865,plain,
% 8.00/5.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB136, constB137)) | (v101(constB137) <=> (~((~v1(constB137)) | (~v102(constB137))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB136, constB137)) | (v101(constB137) <=> (~((~v1(constB137)) | (~v102(constB137))))))),
% 8.00/5.95 inference(rewrite,[status(thm)],[])).
% 8.00/5.95 tff(16866,plain,
% 8.00/5.95 (((~nextState(constB136, constB137)) | (v101(constB137) <=> (~((~v102(constB137)) | (~v1(constB137)))))) <=> ((~nextState(constB136, constB137)) | (v101(constB137) <=> (~((~v1(constB137)) | (~v102(constB137))))))),
% 8.00/5.95 inference(rewrite,[status(thm)],[])).
% 8.00/5.95 tff(16867,plain,
% 8.00/5.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB136, constB137)) | (v101(constB137) <=> (~((~v102(constB137)) | (~v1(constB137))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB136, constB137)) | (v101(constB137) <=> (~((~v1(constB137)) | (~v102(constB137)))))))),
% 8.00/5.95 inference(monotonicity,[status(thm)],[16866])).
% 8.00/5.95 tff(16868,plain,
% 8.00/5.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB136, constB137)) | (v101(constB137) <=> (~((~v102(constB137)) | (~v1(constB137))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB136, constB137)) | (v101(constB137) <=> (~((~v1(constB137)) | (~v102(constB137))))))),
% 8.00/5.95 inference(transitivity,[status(thm)],[16867, 16865])).
% 8.00/5.95 tff(16869,plain,
% 8.00/5.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB136, constB137)) | (v101(constB137) <=> (~((~v102(constB137)) | (~v1(constB137))))))),
% 8.00/5.95 inference(quant_inst,[status(thm)],[])).
% 8.00/5.95 tff(16870,plain,
% 8.00/5.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB136, constB137)) | (v101(constB137) <=> (~((~v1(constB137)) | (~v102(constB137)))))),
% 8.00/5.95 inference(modus_ponens,[status(thm)],[16869, 16868])).
% 8.00/5.95 tff(16871,plain,
% 8.00/5.95 (v101(constB137) <=> (~((~v1(constB137)) | (~v102(constB137))))),
% 8.00/5.95 inference(unit_resolution,[status(thm)],[16870, 16860, 465])).
% 8.00/5.95 tff(16872,plain,
% 8.00/5.95 ((~v1(constB137)) <=> (~v1(constB137))),
% 8.00/5.95 inference(rewrite,[status(thm)],[])).
% 8.00/5.95 tff(16873,axiom,(~v1(constB137)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_137')).
% 8.00/5.95 tff(16874,plain,
% 8.00/5.95 (~v1(constB137)),
% 8.00/5.95 inference(modus_ponens,[status(thm)],[16873, 16872])).
% 8.00/5.95 tff(16875,plain,
% 8.00/5.95 (((~v1(constB137)) | (~v102(constB137))) | v1(constB137)),
% 8.00/5.95 inference(tautology,[status(thm)],[])).
% 8.00/5.95 tff(16876,plain,
% 8.00/5.95 ((~v1(constB137)) | (~v102(constB137))),
% 8.00/5.95 inference(unit_resolution,[status(thm)],[16875, 16874])).
% 8.00/5.95 tff(16877,plain,
% 8.00/5.95 ((~(v101(constB137) <=> (~((~v1(constB137)) | (~v102(constB137)))))) | (~v101(constB137)) | (~((~v1(constB137)) | (~v102(constB137))))),
% 8.00/5.95 inference(tautology,[status(thm)],[])).
% 8.00/5.95 tff(16878,plain,
% 8.00/5.95 ((~(v101(constB137) <=> (~((~v1(constB137)) | (~v102(constB137)))))) | (~v101(constB137))),
% 8.00/5.95 inference(unit_resolution,[status(thm)],[16877, 16876])).
% 8.00/5.95 tff(16879,plain,
% 8.00/5.95 (~v101(constB137)),
% 8.00/5.95 inference(unit_resolution,[status(thm)],[16878, 16871])).
% 8.00/5.95 tff(16880,plain,
% 8.00/5.95 (((~v101(constB137)) | (~v110(constB137))) | v101(constB137)),
% 8.00/5.95 inference(tautology,[status(thm)],[])).
% 8.00/5.95 tff(16881,plain,
% 8.00/5.95 ((~v101(constB137)) | (~v110(constB137))),
% 8.00/5.95 inference(unit_resolution,[status(thm)],[16880, 16879])).
% 8.00/5.95 tff(16882,plain,
% 8.00/5.95 ((~(v100(constB137) <=> (~((~v101(constB137)) | (~v110(constB137)))))) | (~v100(constB137)) | (~((~v101(constB137)) | (~v110(constB137))))),
% 8.00/5.95 inference(tautology,[status(thm)],[])).
% 8.00/5.95 tff(16883,plain,
% 8.00/5.95 (~v100(constB137)),
% 8.00/5.95 inference(unit_resolution,[status(thm)],[16882, 16881, 16864])).
% 8.00/5.95 tff(16884,plain,
% 8.00/5.95 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB137) | (~nextState(constB136, constB137)) | (~(((~v90(constB137, bitIndex1)) <=> v90(constB136, bitIndex1)) | ((~v90(constB137, bitIndex2)) <=> v90(constB136, bitIndex2)) | ((~v90(constB137, bitIndex0)) <=> v90(constB136, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB137) | (~nextState(constB136, constB137)) | (~(((~v90(constB137, bitIndex1)) <=> v90(constB136, bitIndex1)) | ((~v90(constB137, bitIndex2)) <=> v90(constB136, bitIndex2)) | ((~v90(constB137, bitIndex0)) <=> v90(constB136, bitIndex0)))))),
% 8.00/5.95 inference(rewrite,[status(thm)],[])).
% 8.00/5.95 tff(16885,plain,
% 8.00/5.95 ((v100(constB137) | (~nextState(constB136, constB137)) | (~(((~v90(constB137, bitIndex2)) <=> v90(constB136, bitIndex2)) | ((~v90(constB137, bitIndex1)) <=> v90(constB136, bitIndex1)) | ((~v90(constB137, bitIndex0)) <=> v90(constB136, bitIndex0))))) <=> (v100(constB137) | (~nextState(constB136, constB137)) | (~(((~v90(constB137, bitIndex1)) <=> v90(constB136, bitIndex1)) | ((~v90(constB137, bitIndex2)) <=> v90(constB136, bitIndex2)) | ((~v90(constB137, bitIndex0)) <=> v90(constB136, bitIndex0)))))),
% 8.00/5.95 inference(rewrite,[status(thm)],[])).
% 8.00/5.95 tff(16886,plain,
% 8.00/5.95 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB137) | (~nextState(constB136, constB137)) | (~(((~v90(constB137, bitIndex2)) <=> v90(constB136, bitIndex2)) | ((~v90(constB137, bitIndex1)) <=> v90(constB136, bitIndex1)) | ((~v90(constB137, bitIndex0)) <=> v90(constB136, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB137) | (~nextState(constB136, constB137)) | (~(((~v90(constB137, bitIndex1)) <=> v90(constB136, bitIndex1)) | ((~v90(constB137, bitIndex2)) <=> v90(constB136, bitIndex2)) | ((~v90(constB137, bitIndex0)) <=> v90(constB136, bitIndex0))))))),
% 8.00/5.95 inference(monotonicity,[status(thm)],[16885])).
% 8.00/5.95 tff(16887,plain,
% 8.00/5.95 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB137) | (~nextState(constB136, constB137)) | (~(((~v90(constB137, bitIndex2)) <=> v90(constB136, bitIndex2)) | ((~v90(constB137, bitIndex1)) <=> v90(constB136, bitIndex1)) | ((~v90(constB137, bitIndex0)) <=> v90(constB136, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB137) | (~nextState(constB136, constB137)) | (~(((~v90(constB137, bitIndex1)) <=> v90(constB136, bitIndex1)) | ((~v90(constB137, bitIndex2)) <=> v90(constB136, bitIndex2)) | ((~v90(constB137, bitIndex0)) <=> v90(constB136, bitIndex0)))))),
% 8.00/5.95 inference(transitivity,[status(thm)],[16886, 16884])).
% 8.00/5.95 tff(16888,plain,
% 8.00/5.95 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB137) | (~nextState(constB136, constB137)) | (~(((~v90(constB137, bitIndex2)) <=> v90(constB136, bitIndex2)) | ((~v90(constB137, bitIndex1)) <=> v90(constB136, bitIndex1)) | ((~v90(constB137, bitIndex0)) <=> v90(constB136, bitIndex0)))))),
% 8.00/5.95 inference(quant_inst,[status(thm)],[])).
% 8.00/5.95 tff(16889,plain,
% 8.00/5.95 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB137) | (~nextState(constB136, constB137)) | (~(((~v90(constB137, bitIndex1)) <=> v90(constB136, bitIndex1)) | ((~v90(constB137, bitIndex2)) <=> v90(constB136, bitIndex2)) | ((~v90(constB137, bitIndex0)) <=> v90(constB136, bitIndex0))))),
% 8.00/5.95 inference(modus_ponens,[status(thm)],[16888, 16887])).
% 8.00/5.95 tff(16890,plain,
% 8.00/5.95 (v100(constB137) | (~(((~v90(constB137, bitIndex1)) <=> v90(constB136, bitIndex1)) | ((~v90(constB137, bitIndex2)) <=> v90(constB136, bitIndex2)) | ((~v90(constB137, bitIndex0)) <=> v90(constB136, bitIndex0))))),
% 8.00/5.95 inference(unit_resolution,[status(thm)],[16889, 16860, 494])).
% 8.00/5.95 tff(16891,plain,
% 8.00/5.95 (~(((~v90(constB137, bitIndex1)) <=> v90(constB136, bitIndex1)) | ((~v90(constB137, bitIndex2)) <=> v90(constB136, bitIndex2)) | ((~v90(constB137, bitIndex0)) <=> v90(constB136, bitIndex0)))),
% 8.00/5.95 inference(unit_resolution,[status(thm)],[16890, 16883])).
% 8.00/5.95 tff(16892,plain,
% 8.00/5.95 ((((~v90(constB137, bitIndex1)) <=> v90(constB136, bitIndex1)) | ((~v90(constB137, bitIndex2)) <=> v90(constB136, bitIndex2)) | ((~v90(constB137, bitIndex0)) <=> v90(constB136, bitIndex0))) | (~((~v90(constB137, bitIndex2)) <=> v90(constB136, bitIndex2)))),
% 8.00/5.95 inference(tautology,[status(thm)],[])).
% 8.00/5.95 tff(16893,plain,
% 8.00/5.95 (~((~v90(constB137, bitIndex2)) <=> v90(constB136, bitIndex2))),
% 8.00/5.95 inference(unit_resolution,[status(thm)],[16892, 16891])).
% 8.00/5.95 tff(16894,plain,
% 8.00/5.95 (nextState(constB135, constB136) <=> nextState(constB135, constB136)),
% 8.00/5.95 inference(rewrite,[status(thm)],[])).
% 8.00/5.95 tff(16895,axiom,(nextState(constB135, constB136)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_135')).
% 8.00/5.95 tff(16896,plain,
% 8.00/5.95 (nextState(constB135, constB136)),
% 8.00/5.95 inference(modus_ponens,[status(thm)],[16895, 16894])).
% 8.00/5.95 tff(16897,plain,
% 8.00/5.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB135, constB136)) | (~(((~v129(constB136, bitIndex2)) <=> v127(constB135, bitIndex2)) | ((~v129(constB136, bitIndex1)) <=> v127(constB135, bitIndex1)) | ((~v129(constB136, bitIndex0)) <=> v127(constB135, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB135, constB136)) | (~(((~v129(constB136, bitIndex2)) <=> v127(constB135, bitIndex2)) | ((~v129(constB136, bitIndex1)) <=> v127(constB135, bitIndex1)) | ((~v129(constB136, bitIndex0)) <=> v127(constB135, bitIndex0)))))),
% 8.00/5.95 inference(rewrite,[status(thm)],[])).
% 8.00/5.95 tff(16898,plain,
% 8.00/5.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB135, constB136)) | (~(((~v129(constB136, bitIndex2)) <=> v127(constB135, bitIndex2)) | ((~v129(constB136, bitIndex1)) <=> v127(constB135, bitIndex1)) | ((~v129(constB136, bitIndex0)) <=> v127(constB135, bitIndex0)))))),
% 8.00/5.95 inference(quant_inst,[status(thm)],[])).
% 8.00/5.95 tff(16899,plain,
% 8.00/5.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB135, constB136)) | (~(((~v129(constB136, bitIndex2)) <=> v127(constB135, bitIndex2)) | ((~v129(constB136, bitIndex1)) <=> v127(constB135, bitIndex1)) | ((~v129(constB136, bitIndex0)) <=> v127(constB135, bitIndex0))))),
% 8.00/5.95 inference(modus_ponens,[status(thm)],[16898, 16897])).
% 8.00/5.95 tff(16900,plain,
% 8.00/5.95 (~(((~v129(constB136, bitIndex2)) <=> v127(constB135, bitIndex2)) | ((~v129(constB136, bitIndex1)) <=> v127(constB135, bitIndex1)) | ((~v129(constB136, bitIndex0)) <=> v127(constB135, bitIndex0)))),
% 8.00/5.95 inference(unit_resolution,[status(thm)],[16899, 16896, 517])).
% 8.00/5.95 tff(16901,plain,
% 8.00/5.95 ((((~v129(constB136, bitIndex2)) <=> v127(constB135, bitIndex2)) | ((~v129(constB136, bitIndex1)) <=> v127(constB135, bitIndex1)) | ((~v129(constB136, bitIndex0)) <=> v127(constB135, bitIndex0))) | (~((~v129(constB136, bitIndex2)) <=> v127(constB135, bitIndex2)))),
% 8.00/5.95 inference(tautology,[status(thm)],[])).
% 8.00/5.95 tff(16902,plain,
% 8.00/5.95 (~((~v129(constB136, bitIndex2)) <=> v127(constB135, bitIndex2))),
% 8.00/5.95 inference(unit_resolution,[status(thm)],[16901, 16900])).
% 8.00/5.95 tff(16903,plain,
% 8.00/5.95 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB135) <=> v26(constB135))),
% 8.00/5.95 inference(quant_inst,[status(thm)],[])).
% 8.00/5.95 tff(16904,plain,
% 8.00/5.95 (v111(constB135) <=> v26(constB135)),
% 8.00/5.95 inference(unit_resolution,[status(thm)],[16903, 536])).
% 8.00/5.95 tff(16905,plain,
% 8.00/5.95 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB135))),
% 8.00/5.95 inference(quant_inst,[status(thm)],[])).
% 8.00/5.95 tff(16906,plain,
% 8.00/5.95 (~v26(constB135)),
% 8.00/5.95 inference(unit_resolution,[status(thm)],[16905, 548])).
% 8.00/5.95 tff(16907,plain,
% 8.00/5.95 ((~(v111(constB135) <=> v26(constB135))) | (~v111(constB135)) | v26(constB135)),
% 8.00/5.95 inference(tautology,[status(thm)],[])).
% 8.00/5.95 tff(16908,plain,
% 8.00/5.95 ((~(v111(constB135) <=> v26(constB135))) | (~v111(constB135))),
% 8.00/5.95 inference(unit_resolution,[status(thm)],[16907, 16906])).
% 8.00/5.95 tff(16909,plain,
% 8.00/5.95 (~v111(constB135)),
% 8.00/5.95 inference(unit_resolution,[status(thm)],[16908, 16904])).
% 8.00/5.95 tff(16910,plain,
% 8.00/5.95 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB135) | (~(((~v127(constB135, bitIndex2)) <=> v130(constB135, bitIndex2)) | ((~v127(constB135, bitIndex1)) <=> v130(constB135, bitIndex1)) | ((~v127(constB135, bitIndex0)) <=> v130(constB135, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB135) | (~(((~v127(constB135, bitIndex2)) <=> v130(constB135, bitIndex2)) | ((~v127(constB135, bitIndex1)) <=> v130(constB135, bitIndex1)) | ((~v127(constB135, bitIndex0)) <=> v130(constB135, bitIndex0)))))),
% 8.00/5.95 inference(rewrite,[status(thm)],[])).
% 8.00/5.95 tff(16911,plain,
% 8.00/5.95 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB135) | (~(((~v127(constB135, bitIndex2)) <=> v130(constB135, bitIndex2)) | ((~v127(constB135, bitIndex1)) <=> v130(constB135, bitIndex1)) | ((~v127(constB135, bitIndex0)) <=> v130(constB135, bitIndex0)))))),
% 8.00/5.95 inference(quant_inst,[status(thm)],[])).
% 8.00/5.95 tff(16912,plain,
% 8.00/5.95 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB135) | (~(((~v127(constB135, bitIndex2)) <=> v130(constB135, bitIndex2)) | ((~v127(constB135, bitIndex1)) <=> v130(constB135, bitIndex1)) | ((~v127(constB135, bitIndex0)) <=> v130(constB135, bitIndex0))))),
% 8.00/5.96 inference(modus_ponens,[status(thm)],[16911, 16910])).
% 8.00/5.96 tff(16913,plain,
% 8.00/5.96 (v111(constB135) | (~(((~v127(constB135, bitIndex2)) <=> v130(constB135, bitIndex2)) | ((~v127(constB135, bitIndex1)) <=> v130(constB135, bitIndex1)) | ((~v127(constB135, bitIndex0)) <=> v130(constB135, bitIndex0))))),
% 8.00/5.96 inference(unit_resolution,[status(thm)],[16912, 566])).
% 8.00/5.96 tff(16914,plain,
% 8.00/5.96 (~(((~v127(constB135, bitIndex2)) <=> v130(constB135, bitIndex2)) | ((~v127(constB135, bitIndex1)) <=> v130(constB135, bitIndex1)) | ((~v127(constB135, bitIndex0)) <=> v130(constB135, bitIndex0)))),
% 8.00/5.96 inference(unit_resolution,[status(thm)],[16913, 16909])).
% 8.00/5.96 tff(16915,plain,
% 8.00/5.96 ((((~v127(constB135, bitIndex2)) <=> v130(constB135, bitIndex2)) | ((~v127(constB135, bitIndex1)) <=> v130(constB135, bitIndex1)) | ((~v127(constB135, bitIndex0)) <=> v130(constB135, bitIndex0))) | (~((~v127(constB135, bitIndex2)) <=> v130(constB135, bitIndex2)))),
% 8.00/5.96 inference(tautology,[status(thm)],[])).
% 8.00/5.96 tff(16916,plain,
% 8.00/5.96 (~((~v127(constB135, bitIndex2)) <=> v130(constB135, bitIndex2))),
% 8.00/5.96 inference(unit_resolution,[status(thm)],[16915, 16914])).
% 8.00/5.96 tff(16917,plain,
% 8.00/5.96 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB135) <=> (~(v90(constB135, bitIndex1) | v90(constB135, bitIndex2) | (~v90(constB135, bitIndex0)))))),
% 8.00/5.96 inference(quant_inst,[status(thm)],[])).
% 8.00/5.96 tff(16918,plain,
% 8.00/5.96 (v120(constB135) <=> (~(v90(constB135, bitIndex1) | v90(constB135, bitIndex2) | (~v90(constB135, bitIndex0))))),
% 8.00/5.96 inference(unit_resolution,[status(thm)],[16917, 665])).
% 8.00/5.96 tff(16919,plain,
% 8.00/5.96 (nextState(constB134, constB135) <=> nextState(constB134, constB135)),
% 8.00/5.96 inference(rewrite,[status(thm)],[])).
% 8.00/5.96 tff(16920,axiom,(nextState(constB134, constB135)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_134')).
% 8.00/5.96 tff(16921,plain,
% 8.00/5.96 (nextState(constB134, constB135)),
% 8.00/5.96 inference(modus_ponens,[status(thm)],[16920, 16919])).
% 8.00/5.96 tff(16922,plain,
% 8.00/5.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB134, constB135)) | (v100(constB135) <=> (~((~v101(constB135)) | (~v110(constB135))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB134, constB135)) | (v100(constB135) <=> (~((~v101(constB135)) | (~v110(constB135))))))),
% 8.00/5.96 inference(rewrite,[status(thm)],[])).
% 8.00/5.96 tff(16923,plain,
% 8.00/5.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB134, constB135)) | (v100(constB135) <=> (~((~v101(constB135)) | (~v110(constB135))))))),
% 8.00/5.96 inference(quant_inst,[status(thm)],[])).
% 8.00/5.96 tff(16924,plain,
% 8.00/5.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB134, constB135)) | (v100(constB135) <=> (~((~v101(constB135)) | (~v110(constB135)))))),
% 8.00/5.96 inference(modus_ponens,[status(thm)],[16923, 16922])).
% 8.00/5.96 tff(16925,plain,
% 8.00/5.96 (v100(constB135) <=> (~((~v101(constB135)) | (~v110(constB135))))),
% 8.00/5.96 inference(unit_resolution,[status(thm)],[16924, 16921, 445])).
% 8.00/5.96 tff(16926,plain,
% 8.00/5.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB134, constB135)) | (v101(constB135) <=> (~((~v1(constB135)) | (~v102(constB135))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB134, constB135)) | (v101(constB135) <=> (~((~v1(constB135)) | (~v102(constB135))))))),
% 8.00/5.96 inference(rewrite,[status(thm)],[])).
% 8.00/5.96 tff(16927,plain,
% 8.00/5.96 (((~nextState(constB134, constB135)) | (v101(constB135) <=> (~((~v102(constB135)) | (~v1(constB135)))))) <=> ((~nextState(constB134, constB135)) | (v101(constB135) <=> (~((~v1(constB135)) | (~v102(constB135))))))),
% 8.00/5.96 inference(rewrite,[status(thm)],[])).
% 8.00/5.96 tff(16928,plain,
% 8.00/5.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB134, constB135)) | (v101(constB135) <=> (~((~v102(constB135)) | (~v1(constB135))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB134, constB135)) | (v101(constB135) <=> (~((~v1(constB135)) | (~v102(constB135)))))))),
% 8.00/5.96 inference(monotonicity,[status(thm)],[16927])).
% 8.00/5.96 tff(16929,plain,
% 8.00/5.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB134, constB135)) | (v101(constB135) <=> (~((~v102(constB135)) | (~v1(constB135))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB134, constB135)) | (v101(constB135) <=> (~((~v1(constB135)) | (~v102(constB135))))))),
% 8.00/5.96 inference(transitivity,[status(thm)],[16928, 16926])).
% 8.00/5.96 tff(16930,plain,
% 8.00/5.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB134, constB135)) | (v101(constB135) <=> (~((~v102(constB135)) | (~v1(constB135))))))),
% 8.00/5.96 inference(quant_inst,[status(thm)],[])).
% 8.00/5.96 tff(16931,plain,
% 8.00/5.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB134, constB135)) | (v101(constB135) <=> (~((~v1(constB135)) | (~v102(constB135)))))),
% 8.00/5.96 inference(modus_ponens,[status(thm)],[16930, 16929])).
% 8.00/5.96 tff(16932,plain,
% 8.00/5.96 (v101(constB135) <=> (~((~v1(constB135)) | (~v102(constB135))))),
% 8.00/5.96 inference(unit_resolution,[status(thm)],[16931, 16921, 465])).
% 8.00/5.96 tff(16933,plain,
% 8.00/5.96 ((~v1(constB135)) <=> (~v1(constB135))),
% 8.00/5.96 inference(rewrite,[status(thm)],[])).
% 8.00/5.96 tff(16934,axiom,(~v1(constB135)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_135')).
% 8.00/5.96 tff(16935,plain,
% 8.00/5.96 (~v1(constB135)),
% 8.00/5.96 inference(modus_ponens,[status(thm)],[16934, 16933])).
% 8.00/5.96 tff(16936,plain,
% 8.00/5.96 (((~v1(constB135)) | (~v102(constB135))) | v1(constB135)),
% 8.00/5.96 inference(tautology,[status(thm)],[])).
% 8.00/5.96 tff(16937,plain,
% 8.00/5.96 ((~v1(constB135)) | (~v102(constB135))),
% 8.00/5.96 inference(unit_resolution,[status(thm)],[16936, 16935])).
% 8.00/5.96 tff(16938,plain,
% 8.00/5.96 ((~(v101(constB135) <=> (~((~v1(constB135)) | (~v102(constB135)))))) | (~v101(constB135)) | (~((~v1(constB135)) | (~v102(constB135))))),
% 8.00/5.96 inference(tautology,[status(thm)],[])).
% 8.00/5.96 tff(16939,plain,
% 8.00/5.96 ((~(v101(constB135) <=> (~((~v1(constB135)) | (~v102(constB135)))))) | (~v101(constB135))),
% 8.00/5.96 inference(unit_resolution,[status(thm)],[16938, 16937])).
% 8.00/5.96 tff(16940,plain,
% 8.00/5.96 (~v101(constB135)),
% 8.00/5.96 inference(unit_resolution,[status(thm)],[16939, 16932])).
% 8.00/5.96 tff(16941,plain,
% 8.00/5.96 (((~v101(constB135)) | (~v110(constB135))) | v101(constB135)),
% 8.00/5.96 inference(tautology,[status(thm)],[])).
% 8.00/5.96 tff(16942,plain,
% 8.00/5.96 ((~v101(constB135)) | (~v110(constB135))),
% 8.00/5.96 inference(unit_resolution,[status(thm)],[16941, 16940])).
% 8.00/5.96 tff(16943,plain,
% 8.00/5.96 ((~(v100(constB135) <=> (~((~v101(constB135)) | (~v110(constB135)))))) | (~v100(constB135)) | (~((~v101(constB135)) | (~v110(constB135))))),
% 8.00/5.96 inference(tautology,[status(thm)],[])).
% 8.00/5.96 tff(16944,plain,
% 8.00/5.96 (~v100(constB135)),
% 8.00/5.96 inference(unit_resolution,[status(thm)],[16943, 16942, 16925])).
% 8.00/5.96 tff(16945,plain,
% 8.00/5.96 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB135) | (~nextState(constB134, constB135)) | (~(((~v90(constB135, bitIndex1)) <=> v90(constB134, bitIndex1)) | ((~v90(constB135, bitIndex2)) <=> v90(constB134, bitIndex2)) | ((~v90(constB135, bitIndex0)) <=> v90(constB134, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB135) | (~nextState(constB134, constB135)) | (~(((~v90(constB135, bitIndex1)) <=> v90(constB134, bitIndex1)) | ((~v90(constB135, bitIndex2)) <=> v90(constB134, bitIndex2)) | ((~v90(constB135, bitIndex0)) <=> v90(constB134, bitIndex0)))))),
% 8.00/5.96 inference(rewrite,[status(thm)],[])).
% 8.00/5.96 tff(16946,plain,
% 8.00/5.96 ((v100(constB135) | (~nextState(constB134, constB135)) | (~(((~v90(constB135, bitIndex2)) <=> v90(constB134, bitIndex2)) | ((~v90(constB135, bitIndex1)) <=> v90(constB134, bitIndex1)) | ((~v90(constB135, bitIndex0)) <=> v90(constB134, bitIndex0))))) <=> (v100(constB135) | (~nextState(constB134, constB135)) | (~(((~v90(constB135, bitIndex1)) <=> v90(constB134, bitIndex1)) | ((~v90(constB135, bitIndex2)) <=> v90(constB134, bitIndex2)) | ((~v90(constB135, bitIndex0)) <=> v90(constB134, bitIndex0)))))),
% 8.00/5.96 inference(rewrite,[status(thm)],[])).
% 8.00/5.96 tff(16947,plain,
% 8.00/5.96 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB135) | (~nextState(constB134, constB135)) | (~(((~v90(constB135, bitIndex2)) <=> v90(constB134, bitIndex2)) | ((~v90(constB135, bitIndex1)) <=> v90(constB134, bitIndex1)) | ((~v90(constB135, bitIndex0)) <=> v90(constB134, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB135) | (~nextState(constB134, constB135)) | (~(((~v90(constB135, bitIndex1)) <=> v90(constB134, bitIndex1)) | ((~v90(constB135, bitIndex2)) <=> v90(constB134, bitIndex2)) | ((~v90(constB135, bitIndex0)) <=> v90(constB134, bitIndex0))))))),
% 8.00/5.96 inference(monotonicity,[status(thm)],[16946])).
% 8.00/5.96 tff(16948,plain,
% 8.00/5.96 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB135) | (~nextState(constB134, constB135)) | (~(((~v90(constB135, bitIndex2)) <=> v90(constB134, bitIndex2)) | ((~v90(constB135, bitIndex1)) <=> v90(constB134, bitIndex1)) | ((~v90(constB135, bitIndex0)) <=> v90(constB134, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB135) | (~nextState(constB134, constB135)) | (~(((~v90(constB135, bitIndex1)) <=> v90(constB134, bitIndex1)) | ((~v90(constB135, bitIndex2)) <=> v90(constB134, bitIndex2)) | ((~v90(constB135, bitIndex0)) <=> v90(constB134, bitIndex0)))))),
% 8.00/5.96 inference(transitivity,[status(thm)],[16947, 16945])).
% 8.00/5.96 tff(16949,plain,
% 8.00/5.96 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB135) | (~nextState(constB134, constB135)) | (~(((~v90(constB135, bitIndex2)) <=> v90(constB134, bitIndex2)) | ((~v90(constB135, bitIndex1)) <=> v90(constB134, bitIndex1)) | ((~v90(constB135, bitIndex0)) <=> v90(constB134, bitIndex0)))))),
% 8.00/5.96 inference(quant_inst,[status(thm)],[])).
% 8.00/5.96 tff(16950,plain,
% 8.00/5.96 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB135) | (~nextState(constB134, constB135)) | (~(((~v90(constB135, bitIndex1)) <=> v90(constB134, bitIndex1)) | ((~v90(constB135, bitIndex2)) <=> v90(constB134, bitIndex2)) | ((~v90(constB135, bitIndex0)) <=> v90(constB134, bitIndex0))))),
% 8.00/5.96 inference(modus_ponens,[status(thm)],[16949, 16948])).
% 8.00/5.96 tff(16951,plain,
% 8.00/5.96 (v100(constB135) | (~(((~v90(constB135, bitIndex1)) <=> v90(constB134, bitIndex1)) | ((~v90(constB135, bitIndex2)) <=> v90(constB134, bitIndex2)) | ((~v90(constB135, bitIndex0)) <=> v90(constB134, bitIndex0))))),
% 8.00/5.96 inference(unit_resolution,[status(thm)],[16950, 16921, 494])).
% 8.00/5.96 tff(16952,plain,
% 8.00/5.96 (~(((~v90(constB135, bitIndex1)) <=> v90(constB134, bitIndex1)) | ((~v90(constB135, bitIndex2)) <=> v90(constB134, bitIndex2)) | ((~v90(constB135, bitIndex0)) <=> v90(constB134, bitIndex0)))),
% 8.00/5.96 inference(unit_resolution,[status(thm)],[16951, 16944])).
% 8.00/5.96 tff(16953,plain,
% 8.00/5.96 ((((~v90(constB135, bitIndex1)) <=> v90(constB134, bitIndex1)) | ((~v90(constB135, bitIndex2)) <=> v90(constB134, bitIndex2)) | ((~v90(constB135, bitIndex0)) <=> v90(constB134, bitIndex0))) | (~((~v90(constB135, bitIndex0)) <=> v90(constB134, bitIndex0)))),
% 8.00/5.96 inference(tautology,[status(thm)],[])).
% 8.00/5.96 tff(16954,plain,
% 8.00/5.96 (~((~v90(constB135, bitIndex0)) <=> v90(constB134, bitIndex0))),
% 8.00/5.96 inference(unit_resolution,[status(thm)],[16953, 16952])).
% 8.00/5.96 tff(16955,plain,
% 8.00/5.96 (nextState(constB133, constB134) <=> nextState(constB133, constB134)),
% 8.00/5.96 inference(rewrite,[status(thm)],[])).
% 8.00/5.96 tff(16956,axiom,(nextState(constB133, constB134)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_133')).
% 8.00/5.96 tff(16957,plain,
% 8.00/5.96 (nextState(constB133, constB134)),
% 8.00/5.96 inference(modus_ponens,[status(thm)],[16956, 16955])).
% 8.00/5.96 tff(16958,plain,
% 8.00/5.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB133, constB134)) | (~(((~v129(constB134, bitIndex2)) <=> v127(constB133, bitIndex2)) | ((~v129(constB134, bitIndex1)) <=> v127(constB133, bitIndex1)) | ((~v129(constB134, bitIndex0)) <=> v127(constB133, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB133, constB134)) | (~(((~v129(constB134, bitIndex2)) <=> v127(constB133, bitIndex2)) | ((~v129(constB134, bitIndex1)) <=> v127(constB133, bitIndex1)) | ((~v129(constB134, bitIndex0)) <=> v127(constB133, bitIndex0)))))),
% 8.00/5.96 inference(rewrite,[status(thm)],[])).
% 8.00/5.96 tff(16959,plain,
% 8.00/5.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB133, constB134)) | (~(((~v129(constB134, bitIndex2)) <=> v127(constB133, bitIndex2)) | ((~v129(constB134, bitIndex1)) <=> v127(constB133, bitIndex1)) | ((~v129(constB134, bitIndex0)) <=> v127(constB133, bitIndex0)))))),
% 8.00/5.96 inference(quant_inst,[status(thm)],[])).
% 8.00/5.96 tff(16960,plain,
% 8.00/5.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB133, constB134)) | (~(((~v129(constB134, bitIndex2)) <=> v127(constB133, bitIndex2)) | ((~v129(constB134, bitIndex1)) <=> v127(constB133, bitIndex1)) | ((~v129(constB134, bitIndex0)) <=> v127(constB133, bitIndex0))))),
% 8.00/5.96 inference(modus_ponens,[status(thm)],[16959, 16958])).
% 8.00/5.96 tff(16961,plain,
% 8.00/5.96 (~(((~v129(constB134, bitIndex2)) <=> v127(constB133, bitIndex2)) | ((~v129(constB134, bitIndex1)) <=> v127(constB133, bitIndex1)) | ((~v129(constB134, bitIndex0)) <=> v127(constB133, bitIndex0)))),
% 8.00/5.96 inference(unit_resolution,[status(thm)],[16960, 16957, 517])).
% 8.00/5.96 tff(16962,plain,
% 8.00/5.96 ((((~v129(constB134, bitIndex2)) <=> v127(constB133, bitIndex2)) | ((~v129(constB134, bitIndex1)) <=> v127(constB133, bitIndex1)) | ((~v129(constB134, bitIndex0)) <=> v127(constB133, bitIndex0))) | (~((~v129(constB134, bitIndex0)) <=> v127(constB133, bitIndex0)))),
% 8.00/5.96 inference(tautology,[status(thm)],[])).
% 8.00/5.96 tff(16963,plain,
% 8.00/5.96 (~((~v129(constB134, bitIndex0)) <=> v127(constB133, bitIndex0))),
% 8.00/5.96 inference(unit_resolution,[status(thm)],[16962, 16961])).
% 8.00/5.96 tff(16964,plain,
% 8.00/5.96 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB133) <=> v26(constB133))),
% 8.00/5.96 inference(quant_inst,[status(thm)],[])).
% 8.00/5.96 tff(16965,plain,
% 8.00/5.96 (v111(constB133) <=> v26(constB133)),
% 8.00/5.96 inference(unit_resolution,[status(thm)],[16964, 536])).
% 8.00/5.96 tff(16966,plain,
% 8.00/5.96 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB133))),
% 8.00/5.96 inference(quant_inst,[status(thm)],[])).
% 8.00/5.96 tff(16967,plain,
% 8.00/5.96 (~v26(constB133)),
% 8.00/5.96 inference(unit_resolution,[status(thm)],[16966, 548])).
% 8.00/5.96 tff(16968,plain,
% 8.00/5.96 ((~(v111(constB133) <=> v26(constB133))) | (~v111(constB133)) | v26(constB133)),
% 8.00/5.96 inference(tautology,[status(thm)],[])).
% 8.00/5.96 tff(16969,plain,
% 8.00/5.96 ((~(v111(constB133) <=> v26(constB133))) | (~v111(constB133))),
% 8.00/5.96 inference(unit_resolution,[status(thm)],[16968, 16967])).
% 8.00/5.96 tff(16970,plain,
% 8.00/5.96 (~v111(constB133)),
% 8.00/5.96 inference(unit_resolution,[status(thm)],[16969, 16965])).
% 8.00/5.96 tff(16971,plain,
% 8.00/5.96 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB133) | (~(((~v127(constB133, bitIndex2)) <=> v130(constB133, bitIndex2)) | ((~v127(constB133, bitIndex1)) <=> v130(constB133, bitIndex1)) | ((~v127(constB133, bitIndex0)) <=> v130(constB133, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB133) | (~(((~v127(constB133, bitIndex2)) <=> v130(constB133, bitIndex2)) | ((~v127(constB133, bitIndex1)) <=> v130(constB133, bitIndex1)) | ((~v127(constB133, bitIndex0)) <=> v130(constB133, bitIndex0)))))),
% 8.00/5.96 inference(rewrite,[status(thm)],[])).
% 8.00/5.96 tff(16972,plain,
% 8.00/5.96 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB133) | (~(((~v127(constB133, bitIndex2)) <=> v130(constB133, bitIndex2)) | ((~v127(constB133, bitIndex1)) <=> v130(constB133, bitIndex1)) | ((~v127(constB133, bitIndex0)) <=> v130(constB133, bitIndex0)))))),
% 8.00/5.96 inference(quant_inst,[status(thm)],[])).
% 8.00/5.96 tff(16973,plain,
% 8.00/5.96 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB133) | (~(((~v127(constB133, bitIndex2)) <=> v130(constB133, bitIndex2)) | ((~v127(constB133, bitIndex1)) <=> v130(constB133, bitIndex1)) | ((~v127(constB133, bitIndex0)) <=> v130(constB133, bitIndex0))))),
% 8.00/5.96 inference(modus_ponens,[status(thm)],[16972, 16971])).
% 8.00/5.96 tff(16974,plain,
% 8.00/5.96 (v111(constB133) | (~(((~v127(constB133, bitIndex2)) <=> v130(constB133, bitIndex2)) | ((~v127(constB133, bitIndex1)) <=> v130(constB133, bitIndex1)) | ((~v127(constB133, bitIndex0)) <=> v130(constB133, bitIndex0))))),
% 8.00/5.96 inference(unit_resolution,[status(thm)],[16973, 566])).
% 8.00/5.96 tff(16975,plain,
% 8.00/5.96 (~(((~v127(constB133, bitIndex2)) <=> v130(constB133, bitIndex2)) | ((~v127(constB133, bitIndex1)) <=> v130(constB133, bitIndex1)) | ((~v127(constB133, bitIndex0)) <=> v130(constB133, bitIndex0)))),
% 8.00/5.96 inference(unit_resolution,[status(thm)],[16974, 16970])).
% 8.00/5.96 tff(16976,plain,
% 8.00/5.96 ((((~v127(constB133, bitIndex2)) <=> v130(constB133, bitIndex2)) | ((~v127(constB133, bitIndex1)) <=> v130(constB133, bitIndex1)) | ((~v127(constB133, bitIndex0)) <=> v130(constB133, bitIndex0))) | (~((~v127(constB133, bitIndex0)) <=> v130(constB133, bitIndex0)))),
% 8.00/5.96 inference(tautology,[status(thm)],[])).
% 8.00/5.96 tff(16977,plain,
% 8.00/5.96 (~((~v127(constB133, bitIndex0)) <=> v130(constB133, bitIndex0))),
% 8.00/5.96 inference(unit_resolution,[status(thm)],[16976, 16975])).
% 8.00/5.96 tff(16978,plain,
% 8.00/5.96 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB133) <=> (~(v90(constB133, bitIndex1) | v90(constB133, bitIndex0) | (~v90(constB133, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB133) <=> (~(v90(constB133, bitIndex1) | v90(constB133, bitIndex0) | (~v90(constB133, bitIndex2))))))),
% 8.00/5.96 inference(rewrite,[status(thm)],[])).
% 8.00/5.96 tff(16979,plain,
% 8.00/5.96 ((v123(constB133) <=> (~(v90(constB133, bitIndex0) | v90(constB133, bitIndex1) | (~v90(constB133, bitIndex2))))) <=> (v123(constB133) <=> (~(v90(constB133, bitIndex1) | v90(constB133, bitIndex0) | (~v90(constB133, bitIndex2)))))),
% 8.00/5.96 inference(rewrite,[status(thm)],[])).
% 8.00/5.96 tff(16980,plain,
% 8.00/5.96 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB133) <=> (~(v90(constB133, bitIndex0) | v90(constB133, bitIndex1) | (~v90(constB133, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB133) <=> (~(v90(constB133, bitIndex1) | v90(constB133, bitIndex0) | (~v90(constB133, bitIndex2))))))),
% 8.00/5.96 inference(monotonicity,[status(thm)],[16979])).
% 8.00/5.96 tff(16981,plain,
% 8.00/5.96 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB133) <=> (~(v90(constB133, bitIndex0) | v90(constB133, bitIndex1) | (~v90(constB133, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB133) <=> (~(v90(constB133, bitIndex1) | v90(constB133, bitIndex0) | (~v90(constB133, bitIndex2))))))),
% 8.00/5.96 inference(transitivity,[status(thm)],[16980, 16978])).
% 8.00/5.96 tff(16982,plain,
% 8.00/5.96 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB133) <=> (~(v90(constB133, bitIndex0) | v90(constB133, bitIndex1) | (~v90(constB133, bitIndex2)))))),
% 8.00/5.96 inference(quant_inst,[status(thm)],[])).
% 8.00/5.96 tff(16983,plain,
% 8.00/5.96 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB133) <=> (~(v90(constB133, bitIndex1) | v90(constB133, bitIndex0) | (~v90(constB133, bitIndex2)))))),
% 8.00/5.96 inference(modus_ponens,[status(thm)],[16982, 16981])).
% 8.00/5.96 tff(16984,plain,
% 8.00/5.96 (v123(constB133) <=> (~(v90(constB133, bitIndex1) | v90(constB133, bitIndex0) | (~v90(constB133, bitIndex2))))),
% 8.00/5.96 inference(unit_resolution,[status(thm)],[16983, 800])).
% 8.00/5.96 tff(16985,plain,
% 8.00/5.96 (nextState(constB132, constB133) <=> nextState(constB132, constB133)),
% 8.00/5.96 inference(rewrite,[status(thm)],[])).
% 8.00/5.96 tff(16986,axiom,(nextState(constB132, constB133)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_132')).
% 8.00/5.96 tff(16987,plain,
% 8.00/5.96 (nextState(constB132, constB133)),
% 8.00/5.96 inference(modus_ponens,[status(thm)],[16986, 16985])).
% 8.00/5.96 tff(16988,plain,
% 8.00/5.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB132, constB133)) | (v100(constB133) <=> (~((~v101(constB133)) | (~v110(constB133))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB132, constB133)) | (v100(constB133) <=> (~((~v101(constB133)) | (~v110(constB133))))))),
% 8.00/5.96 inference(rewrite,[status(thm)],[])).
% 8.00/5.96 tff(16989,plain,
% 8.00/5.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB132, constB133)) | (v100(constB133) <=> (~((~v101(constB133)) | (~v110(constB133))))))),
% 8.00/5.96 inference(quant_inst,[status(thm)],[])).
% 8.00/5.96 tff(16990,plain,
% 8.00/5.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB132, constB133)) | (v100(constB133) <=> (~((~v101(constB133)) | (~v110(constB133)))))),
% 8.00/5.96 inference(modus_ponens,[status(thm)],[16989, 16988])).
% 8.00/5.96 tff(16991,plain,
% 8.00/5.96 (v100(constB133) <=> (~((~v101(constB133)) | (~v110(constB133))))),
% 8.00/5.96 inference(unit_resolution,[status(thm)],[16990, 16987, 445])).
% 8.00/5.96 tff(16992,plain,
% 8.00/5.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB132, constB133)) | (v101(constB133) <=> (~((~v1(constB133)) | (~v102(constB133))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB132, constB133)) | (v101(constB133) <=> (~((~v1(constB133)) | (~v102(constB133))))))),
% 8.00/5.96 inference(rewrite,[status(thm)],[])).
% 8.00/5.96 tff(16993,plain,
% 8.00/5.96 (((~nextState(constB132, constB133)) | (v101(constB133) <=> (~((~v102(constB133)) | (~v1(constB133)))))) <=> ((~nextState(constB132, constB133)) | (v101(constB133) <=> (~((~v1(constB133)) | (~v102(constB133))))))),
% 8.00/5.96 inference(rewrite,[status(thm)],[])).
% 8.00/5.96 tff(16994,plain,
% 8.00/5.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB132, constB133)) | (v101(constB133) <=> (~((~v102(constB133)) | (~v1(constB133))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB132, constB133)) | (v101(constB133) <=> (~((~v1(constB133)) | (~v102(constB133)))))))),
% 8.00/5.96 inference(monotonicity,[status(thm)],[16993])).
% 8.00/5.96 tff(16995,plain,
% 8.00/5.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB132, constB133)) | (v101(constB133) <=> (~((~v102(constB133)) | (~v1(constB133))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB132, constB133)) | (v101(constB133) <=> (~((~v1(constB133)) | (~v102(constB133))))))),
% 8.00/5.96 inference(transitivity,[status(thm)],[16994, 16992])).
% 8.00/5.96 tff(16996,plain,
% 8.00/5.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB132, constB133)) | (v101(constB133) <=> (~((~v102(constB133)) | (~v1(constB133))))))),
% 8.00/5.96 inference(quant_inst,[status(thm)],[])).
% 8.00/5.96 tff(16997,plain,
% 8.00/5.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB132, constB133)) | (v101(constB133) <=> (~((~v1(constB133)) | (~v102(constB133)))))),
% 8.00/5.96 inference(modus_ponens,[status(thm)],[16996, 16995])).
% 8.00/5.96 tff(16998,plain,
% 8.00/5.96 (v101(constB133) <=> (~((~v1(constB133)) | (~v102(constB133))))),
% 8.00/5.96 inference(unit_resolution,[status(thm)],[16997, 16987, 465])).
% 8.00/5.96 tff(16999,plain,
% 8.00/5.96 ((~v1(constB133)) <=> (~v1(constB133))),
% 8.00/5.97 inference(rewrite,[status(thm)],[])).
% 8.00/5.97 tff(17000,axiom,(~v1(constB133)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_133')).
% 8.00/5.97 tff(17001,plain,
% 8.00/5.97 (~v1(constB133)),
% 8.00/5.97 inference(modus_ponens,[status(thm)],[17000, 16999])).
% 8.00/5.97 tff(17002,plain,
% 8.00/5.97 (((~v1(constB133)) | (~v102(constB133))) | v1(constB133)),
% 8.00/5.97 inference(tautology,[status(thm)],[])).
% 8.00/5.97 tff(17003,plain,
% 8.00/5.97 ((~v1(constB133)) | (~v102(constB133))),
% 8.00/5.97 inference(unit_resolution,[status(thm)],[17002, 17001])).
% 8.00/5.97 tff(17004,plain,
% 8.00/5.97 ((~(v101(constB133) <=> (~((~v1(constB133)) | (~v102(constB133)))))) | (~v101(constB133)) | (~((~v1(constB133)) | (~v102(constB133))))),
% 8.00/5.97 inference(tautology,[status(thm)],[])).
% 8.00/5.97 tff(17005,plain,
% 8.00/5.97 ((~(v101(constB133) <=> (~((~v1(constB133)) | (~v102(constB133)))))) | (~v101(constB133))),
% 8.00/5.97 inference(unit_resolution,[status(thm)],[17004, 17003])).
% 8.00/5.97 tff(17006,plain,
% 8.00/5.97 (~v101(constB133)),
% 8.00/5.97 inference(unit_resolution,[status(thm)],[17005, 16998])).
% 8.00/5.97 tff(17007,plain,
% 8.00/5.97 (((~v101(constB133)) | (~v110(constB133))) | v101(constB133)),
% 8.00/5.97 inference(tautology,[status(thm)],[])).
% 8.00/5.97 tff(17008,plain,
% 8.00/5.97 ((~v101(constB133)) | (~v110(constB133))),
% 8.00/5.97 inference(unit_resolution,[status(thm)],[17007, 17006])).
% 8.00/5.97 tff(17009,plain,
% 8.00/5.97 ((~(v100(constB133) <=> (~((~v101(constB133)) | (~v110(constB133)))))) | (~v100(constB133)) | (~((~v101(constB133)) | (~v110(constB133))))),
% 8.00/5.97 inference(tautology,[status(thm)],[])).
% 8.00/5.97 tff(17010,plain,
% 8.00/5.97 (~v100(constB133)),
% 8.00/5.97 inference(unit_resolution,[status(thm)],[17009, 17008, 16991])).
% 8.00/5.97 tff(17011,plain,
% 8.00/5.97 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB133) | (~nextState(constB132, constB133)) | (~(((~v90(constB133, bitIndex1)) <=> v90(constB132, bitIndex1)) | ((~v90(constB133, bitIndex2)) <=> v90(constB132, bitIndex2)) | ((~v90(constB133, bitIndex0)) <=> v90(constB132, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB133) | (~nextState(constB132, constB133)) | (~(((~v90(constB133, bitIndex1)) <=> v90(constB132, bitIndex1)) | ((~v90(constB133, bitIndex2)) <=> v90(constB132, bitIndex2)) | ((~v90(constB133, bitIndex0)) <=> v90(constB132, bitIndex0)))))),
% 8.00/5.97 inference(rewrite,[status(thm)],[])).
% 8.00/5.97 tff(17012,plain,
% 8.00/5.97 ((v100(constB133) | (~nextState(constB132, constB133)) | (~(((~v90(constB133, bitIndex2)) <=> v90(constB132, bitIndex2)) | ((~v90(constB133, bitIndex1)) <=> v90(constB132, bitIndex1)) | ((~v90(constB133, bitIndex0)) <=> v90(constB132, bitIndex0))))) <=> (v100(constB133) | (~nextState(constB132, constB133)) | (~(((~v90(constB133, bitIndex1)) <=> v90(constB132, bitIndex1)) | ((~v90(constB133, bitIndex2)) <=> v90(constB132, bitIndex2)) | ((~v90(constB133, bitIndex0)) <=> v90(constB132, bitIndex0)))))),
% 8.00/5.97 inference(rewrite,[status(thm)],[])).
% 8.00/5.97 tff(17013,plain,
% 8.00/5.97 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB133) | (~nextState(constB132, constB133)) | (~(((~v90(constB133, bitIndex2)) <=> v90(constB132, bitIndex2)) | ((~v90(constB133, bitIndex1)) <=> v90(constB132, bitIndex1)) | ((~v90(constB133, bitIndex0)) <=> v90(constB132, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB133) | (~nextState(constB132, constB133)) | (~(((~v90(constB133, bitIndex1)) <=> v90(constB132, bitIndex1)) | ((~v90(constB133, bitIndex2)) <=> v90(constB132, bitIndex2)) | ((~v90(constB133, bitIndex0)) <=> v90(constB132, bitIndex0))))))),
% 8.00/5.97 inference(monotonicity,[status(thm)],[17012])).
% 8.00/5.97 tff(17014,plain,
% 8.00/5.97 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB133) | (~nextState(constB132, constB133)) | (~(((~v90(constB133, bitIndex2)) <=> v90(constB132, bitIndex2)) | ((~v90(constB133, bitIndex1)) <=> v90(constB132, bitIndex1)) | ((~v90(constB133, bitIndex0)) <=> v90(constB132, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB133) | (~nextState(constB132, constB133)) | (~(((~v90(constB133, bitIndex1)) <=> v90(constB132, bitIndex1)) | ((~v90(constB133, bitIndex2)) <=> v90(constB132, bitIndex2)) | ((~v90(constB133, bitIndex0)) <=> v90(constB132, bitIndex0)))))),
% 8.00/5.97 inference(transitivity,[status(thm)],[17013, 17011])).
% 8.00/5.97 tff(17015,plain,
% 8.00/5.97 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB133) | (~nextState(constB132, constB133)) | (~(((~v90(constB133, bitIndex2)) <=> v90(constB132, bitIndex2)) | ((~v90(constB133, bitIndex1)) <=> v90(constB132, bitIndex1)) | ((~v90(constB133, bitIndex0)) <=> v90(constB132, bitIndex0)))))),
% 8.00/5.97 inference(quant_inst,[status(thm)],[])).
% 8.00/5.97 tff(17016,plain,
% 8.00/5.97 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB133) | (~nextState(constB132, constB133)) | (~(((~v90(constB133, bitIndex1)) <=> v90(constB132, bitIndex1)) | ((~v90(constB133, bitIndex2)) <=> v90(constB132, bitIndex2)) | ((~v90(constB133, bitIndex0)) <=> v90(constB132, bitIndex0))))),
% 8.00/5.97 inference(modus_ponens,[status(thm)],[17015, 17014])).
% 8.00/5.97 tff(17017,plain,
% 8.00/5.97 (v100(constB133) | (~(((~v90(constB133, bitIndex1)) <=> v90(constB132, bitIndex1)) | ((~v90(constB133, bitIndex2)) <=> v90(constB132, bitIndex2)) | ((~v90(constB133, bitIndex0)) <=> v90(constB132, bitIndex0))))),
% 8.00/5.97 inference(unit_resolution,[status(thm)],[17016, 16987, 494])).
% 8.00/5.97 tff(17018,plain,
% 8.00/5.97 (~(((~v90(constB133, bitIndex1)) <=> v90(constB132, bitIndex1)) | ((~v90(constB133, bitIndex2)) <=> v90(constB132, bitIndex2)) | ((~v90(constB133, bitIndex0)) <=> v90(constB132, bitIndex0)))),
% 8.00/5.97 inference(unit_resolution,[status(thm)],[17017, 17010])).
% 8.00/5.97 tff(17019,plain,
% 8.00/5.97 ((((~v90(constB133, bitIndex1)) <=> v90(constB132, bitIndex1)) | ((~v90(constB133, bitIndex2)) <=> v90(constB132, bitIndex2)) | ((~v90(constB133, bitIndex0)) <=> v90(constB132, bitIndex0))) | (~((~v90(constB133, bitIndex2)) <=> v90(constB132, bitIndex2)))),
% 8.00/5.97 inference(tautology,[status(thm)],[])).
% 8.00/5.97 tff(17020,plain,
% 8.00/5.97 (~((~v90(constB133, bitIndex2)) <=> v90(constB132, bitIndex2))),
% 8.00/5.97 inference(unit_resolution,[status(thm)],[17019, 17018])).
% 8.00/5.97 tff(17021,plain,
% 8.00/5.97 (nextState(constB131, constB132) <=> nextState(constB131, constB132)),
% 8.00/5.97 inference(rewrite,[status(thm)],[])).
% 8.00/5.97 tff(17022,axiom,(nextState(constB131, constB132)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_131')).
% 8.00/5.97 tff(17023,plain,
% 8.00/5.97 (nextState(constB131, constB132)),
% 8.00/5.97 inference(modus_ponens,[status(thm)],[17022, 17021])).
% 8.00/5.97 tff(17024,plain,
% 8.00/5.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB131, constB132)) | (~(((~v129(constB132, bitIndex2)) <=> v127(constB131, bitIndex2)) | ((~v129(constB132, bitIndex1)) <=> v127(constB131, bitIndex1)) | ((~v129(constB132, bitIndex0)) <=> v127(constB131, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB131, constB132)) | (~(((~v129(constB132, bitIndex2)) <=> v127(constB131, bitIndex2)) | ((~v129(constB132, bitIndex1)) <=> v127(constB131, bitIndex1)) | ((~v129(constB132, bitIndex0)) <=> v127(constB131, bitIndex0)))))),
% 8.00/5.97 inference(rewrite,[status(thm)],[])).
% 8.00/5.97 tff(17025,plain,
% 8.00/5.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB131, constB132)) | (~(((~v129(constB132, bitIndex2)) <=> v127(constB131, bitIndex2)) | ((~v129(constB132, bitIndex1)) <=> v127(constB131, bitIndex1)) | ((~v129(constB132, bitIndex0)) <=> v127(constB131, bitIndex0)))))),
% 8.00/5.97 inference(quant_inst,[status(thm)],[])).
% 8.00/5.97 tff(17026,plain,
% 8.00/5.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB131, constB132)) | (~(((~v129(constB132, bitIndex2)) <=> v127(constB131, bitIndex2)) | ((~v129(constB132, bitIndex1)) <=> v127(constB131, bitIndex1)) | ((~v129(constB132, bitIndex0)) <=> v127(constB131, bitIndex0))))),
% 8.00/5.97 inference(modus_ponens,[status(thm)],[17025, 17024])).
% 8.00/5.97 tff(17027,plain,
% 8.00/5.97 (~(((~v129(constB132, bitIndex2)) <=> v127(constB131, bitIndex2)) | ((~v129(constB132, bitIndex1)) <=> v127(constB131, bitIndex1)) | ((~v129(constB132, bitIndex0)) <=> v127(constB131, bitIndex0)))),
% 8.00/5.97 inference(unit_resolution,[status(thm)],[17026, 17023, 517])).
% 8.00/5.97 tff(17028,plain,
% 8.00/5.97 ((((~v129(constB132, bitIndex2)) <=> v127(constB131, bitIndex2)) | ((~v129(constB132, bitIndex1)) <=> v127(constB131, bitIndex1)) | ((~v129(constB132, bitIndex0)) <=> v127(constB131, bitIndex0))) | (~((~v129(constB132, bitIndex2)) <=> v127(constB131, bitIndex2)))),
% 8.00/5.97 inference(tautology,[status(thm)],[])).
% 8.00/5.97 tff(17029,plain,
% 8.00/5.97 (~((~v129(constB132, bitIndex2)) <=> v127(constB131, bitIndex2))),
% 8.00/5.97 inference(unit_resolution,[status(thm)],[17028, 17027])).
% 8.00/5.97 tff(17030,plain,
% 8.00/5.97 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB131) <=> v26(constB131))),
% 8.00/5.97 inference(quant_inst,[status(thm)],[])).
% 8.00/5.97 tff(17031,plain,
% 8.00/5.97 (v111(constB131) <=> v26(constB131)),
% 8.00/5.97 inference(unit_resolution,[status(thm)],[17030, 536])).
% 8.00/5.97 tff(17032,plain,
% 8.00/5.97 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB131))),
% 8.00/5.97 inference(quant_inst,[status(thm)],[])).
% 8.00/5.97 tff(17033,plain,
% 8.00/5.97 (~v26(constB131)),
% 8.00/5.97 inference(unit_resolution,[status(thm)],[17032, 548])).
% 8.00/5.97 tff(17034,plain,
% 8.00/5.97 ((~(v111(constB131) <=> v26(constB131))) | (~v111(constB131)) | v26(constB131)),
% 8.00/5.97 inference(tautology,[status(thm)],[])).
% 8.00/5.97 tff(17035,plain,
% 8.00/5.97 ((~(v111(constB131) <=> v26(constB131))) | (~v111(constB131))),
% 8.00/5.97 inference(unit_resolution,[status(thm)],[17034, 17033])).
% 8.00/5.97 tff(17036,plain,
% 8.00/5.97 (~v111(constB131)),
% 8.00/5.97 inference(unit_resolution,[status(thm)],[17035, 17031])).
% 8.00/5.97 tff(17037,plain,
% 8.00/5.97 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB131) | (~(((~v127(constB131, bitIndex2)) <=> v130(constB131, bitIndex2)) | ((~v127(constB131, bitIndex1)) <=> v130(constB131, bitIndex1)) | ((~v127(constB131, bitIndex0)) <=> v130(constB131, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB131) | (~(((~v127(constB131, bitIndex2)) <=> v130(constB131, bitIndex2)) | ((~v127(constB131, bitIndex1)) <=> v130(constB131, bitIndex1)) | ((~v127(constB131, bitIndex0)) <=> v130(constB131, bitIndex0)))))),
% 8.00/5.97 inference(rewrite,[status(thm)],[])).
% 8.00/5.97 tff(17038,plain,
% 8.00/5.97 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB131) | (~(((~v127(constB131, bitIndex2)) <=> v130(constB131, bitIndex2)) | ((~v127(constB131, bitIndex1)) <=> v130(constB131, bitIndex1)) | ((~v127(constB131, bitIndex0)) <=> v130(constB131, bitIndex0)))))),
% 8.00/5.97 inference(quant_inst,[status(thm)],[])).
% 8.00/5.97 tff(17039,plain,
% 8.00/5.97 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB131) | (~(((~v127(constB131, bitIndex2)) <=> v130(constB131, bitIndex2)) | ((~v127(constB131, bitIndex1)) <=> v130(constB131, bitIndex1)) | ((~v127(constB131, bitIndex0)) <=> v130(constB131, bitIndex0))))),
% 8.00/5.97 inference(modus_ponens,[status(thm)],[17038, 17037])).
% 8.00/5.97 tff(17040,plain,
% 8.00/5.97 (v111(constB131) | (~(((~v127(constB131, bitIndex2)) <=> v130(constB131, bitIndex2)) | ((~v127(constB131, bitIndex1)) <=> v130(constB131, bitIndex1)) | ((~v127(constB131, bitIndex0)) <=> v130(constB131, bitIndex0))))),
% 8.00/5.97 inference(unit_resolution,[status(thm)],[17039, 566])).
% 8.00/5.97 tff(17041,plain,
% 8.00/5.97 (~(((~v127(constB131, bitIndex2)) <=> v130(constB131, bitIndex2)) | ((~v127(constB131, bitIndex1)) <=> v130(constB131, bitIndex1)) | ((~v127(constB131, bitIndex0)) <=> v130(constB131, bitIndex0)))),
% 8.00/5.97 inference(unit_resolution,[status(thm)],[17040, 17036])).
% 8.00/5.97 tff(17042,plain,
% 8.00/5.97 ((((~v127(constB131, bitIndex2)) <=> v130(constB131, bitIndex2)) | ((~v127(constB131, bitIndex1)) <=> v130(constB131, bitIndex1)) | ((~v127(constB131, bitIndex0)) <=> v130(constB131, bitIndex0))) | (~((~v127(constB131, bitIndex2)) <=> v130(constB131, bitIndex2)))),
% 8.00/5.97 inference(tautology,[status(thm)],[])).
% 8.00/5.97 tff(17043,plain,
% 8.00/5.97 (~((~v127(constB131, bitIndex2)) <=> v130(constB131, bitIndex2))),
% 8.00/5.97 inference(unit_resolution,[status(thm)],[17042, 17041])).
% 8.00/5.97 tff(17044,plain,
% 8.00/5.97 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB131) <=> (~(v90(constB131, bitIndex2) | (~v90(constB131, bitIndex1)) | (~v90(constB131, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB131) <=> (~(v90(constB131, bitIndex2) | (~v90(constB131, bitIndex1)) | (~v90(constB131, bitIndex0))))))),
% 8.00/5.97 inference(rewrite,[status(thm)],[])).
% 8.00/5.97 tff(17045,plain,
% 8.00/5.97 ((v122(constB131) <=> (~(v90(constB131, bitIndex2) | (~v90(constB131, bitIndex0)) | (~v90(constB131, bitIndex1))))) <=> (v122(constB131) <=> (~(v90(constB131, bitIndex2) | (~v90(constB131, bitIndex1)) | (~v90(constB131, bitIndex0)))))),
% 8.00/5.97 inference(rewrite,[status(thm)],[])).
% 8.00/5.97 tff(17046,plain,
% 8.00/5.97 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB131) <=> (~(v90(constB131, bitIndex2) | (~v90(constB131, bitIndex0)) | (~v90(constB131, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB131) <=> (~(v90(constB131, bitIndex2) | (~v90(constB131, bitIndex1)) | (~v90(constB131, bitIndex0))))))),
% 8.00/5.97 inference(monotonicity,[status(thm)],[17045])).
% 8.00/5.97 tff(17047,plain,
% 8.00/5.97 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB131) <=> (~(v90(constB131, bitIndex2) | (~v90(constB131, bitIndex0)) | (~v90(constB131, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB131) <=> (~(v90(constB131, bitIndex2) | (~v90(constB131, bitIndex1)) | (~v90(constB131, bitIndex0))))))),
% 8.00/5.97 inference(transitivity,[status(thm)],[17046, 17044])).
% 8.00/5.97 tff(17048,plain,
% 8.00/5.97 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB131) <=> (~(v90(constB131, bitIndex2) | (~v90(constB131, bitIndex0)) | (~v90(constB131, bitIndex1)))))),
% 8.00/5.97 inference(quant_inst,[status(thm)],[])).
% 8.00/5.97 tff(17049,plain,
% 8.00/5.97 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB131) <=> (~(v90(constB131, bitIndex2) | (~v90(constB131, bitIndex1)) | (~v90(constB131, bitIndex0)))))),
% 8.00/5.97 inference(modus_ponens,[status(thm)],[17048, 17047])).
% 8.00/5.97 tff(17050,plain,
% 8.00/5.97 (v122(constB131) <=> (~(v90(constB131, bitIndex2) | (~v90(constB131, bitIndex1)) | (~v90(constB131, bitIndex0))))),
% 8.00/5.97 inference(unit_resolution,[status(thm)],[17049, 879])).
% 8.00/5.97 tff(17051,plain,
% 8.00/5.97 (nextState(constB130, constB131) <=> nextState(constB130, constB131)),
% 8.00/5.97 inference(rewrite,[status(thm)],[])).
% 8.00/5.97 tff(17052,axiom,(nextState(constB130, constB131)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_130')).
% 8.00/5.97 tff(17053,plain,
% 8.00/5.97 (nextState(constB130, constB131)),
% 8.00/5.97 inference(modus_ponens,[status(thm)],[17052, 17051])).
% 8.00/5.97 tff(17054,plain,
% 8.00/5.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB130, constB131)) | (v100(constB131) <=> (~((~v101(constB131)) | (~v110(constB131))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB130, constB131)) | (v100(constB131) <=> (~((~v101(constB131)) | (~v110(constB131))))))),
% 8.00/5.97 inference(rewrite,[status(thm)],[])).
% 8.00/5.97 tff(17055,plain,
% 8.00/5.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB130, constB131)) | (v100(constB131) <=> (~((~v101(constB131)) | (~v110(constB131))))))),
% 8.00/5.97 inference(quant_inst,[status(thm)],[])).
% 8.00/5.97 tff(17056,plain,
% 8.00/5.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB130, constB131)) | (v100(constB131) <=> (~((~v101(constB131)) | (~v110(constB131)))))),
% 8.00/5.97 inference(modus_ponens,[status(thm)],[17055, 17054])).
% 8.00/5.97 tff(17057,plain,
% 8.00/5.97 (v100(constB131) <=> (~((~v101(constB131)) | (~v110(constB131))))),
% 8.00/5.97 inference(unit_resolution,[status(thm)],[17056, 17053, 445])).
% 8.00/5.97 tff(17058,plain,
% 8.00/5.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB130, constB131)) | (v101(constB131) <=> (~((~v1(constB131)) | (~v102(constB131))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB130, constB131)) | (v101(constB131) <=> (~((~v1(constB131)) | (~v102(constB131))))))),
% 8.00/5.97 inference(rewrite,[status(thm)],[])).
% 8.00/5.97 tff(17059,plain,
% 8.00/5.97 (((~nextState(constB130, constB131)) | (v101(constB131) <=> (~((~v102(constB131)) | (~v1(constB131)))))) <=> ((~nextState(constB130, constB131)) | (v101(constB131) <=> (~((~v1(constB131)) | (~v102(constB131))))))),
% 8.00/5.97 inference(rewrite,[status(thm)],[])).
% 8.00/5.97 tff(17060,plain,
% 8.00/5.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB130, constB131)) | (v101(constB131) <=> (~((~v102(constB131)) | (~v1(constB131))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB130, constB131)) | (v101(constB131) <=> (~((~v1(constB131)) | (~v102(constB131)))))))),
% 8.00/5.97 inference(monotonicity,[status(thm)],[17059])).
% 8.00/5.97 tff(17061,plain,
% 8.00/5.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB130, constB131)) | (v101(constB131) <=> (~((~v102(constB131)) | (~v1(constB131))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB130, constB131)) | (v101(constB131) <=> (~((~v1(constB131)) | (~v102(constB131))))))),
% 8.00/5.97 inference(transitivity,[status(thm)],[17060, 17058])).
% 8.00/5.97 tff(17062,plain,
% 8.00/5.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB130, constB131)) | (v101(constB131) <=> (~((~v102(constB131)) | (~v1(constB131))))))),
% 8.00/5.97 inference(quant_inst,[status(thm)],[])).
% 8.00/5.97 tff(17063,plain,
% 8.00/5.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB130, constB131)) | (v101(constB131) <=> (~((~v1(constB131)) | (~v102(constB131)))))),
% 8.00/5.97 inference(modus_ponens,[status(thm)],[17062, 17061])).
% 8.00/5.97 tff(17064,plain,
% 8.00/5.97 (v101(constB131) <=> (~((~v1(constB131)) | (~v102(constB131))))),
% 8.00/5.97 inference(unit_resolution,[status(thm)],[17063, 17053, 465])).
% 8.00/5.97 tff(17065,plain,
% 8.00/5.97 ((~v1(constB131)) <=> (~v1(constB131))),
% 8.00/5.97 inference(rewrite,[status(thm)],[])).
% 8.00/5.97 tff(17066,axiom,(~v1(constB131)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_131')).
% 8.00/5.97 tff(17067,plain,
% 8.00/5.97 (~v1(constB131)),
% 8.00/5.97 inference(modus_ponens,[status(thm)],[17066, 17065])).
% 8.00/5.97 tff(17068,plain,
% 8.00/5.97 (((~v1(constB131)) | (~v102(constB131))) | v1(constB131)),
% 8.00/5.97 inference(tautology,[status(thm)],[])).
% 8.00/5.97 tff(17069,plain,
% 8.00/5.97 ((~v1(constB131)) | (~v102(constB131))),
% 8.00/5.97 inference(unit_resolution,[status(thm)],[17068, 17067])).
% 8.00/5.97 tff(17070,plain,
% 8.00/5.97 ((~(v101(constB131) <=> (~((~v1(constB131)) | (~v102(constB131)))))) | (~v101(constB131)) | (~((~v1(constB131)) | (~v102(constB131))))),
% 8.00/5.97 inference(tautology,[status(thm)],[])).
% 8.00/5.97 tff(17071,plain,
% 8.00/5.97 ((~(v101(constB131) <=> (~((~v1(constB131)) | (~v102(constB131)))))) | (~v101(constB131))),
% 8.00/5.97 inference(unit_resolution,[status(thm)],[17070, 17069])).
% 8.00/5.97 tff(17072,plain,
% 8.00/5.97 (~v101(constB131)),
% 8.00/5.97 inference(unit_resolution,[status(thm)],[17071, 17064])).
% 8.00/5.97 tff(17073,plain,
% 8.00/5.97 (((~v101(constB131)) | (~v110(constB131))) | v101(constB131)),
% 8.00/5.97 inference(tautology,[status(thm)],[])).
% 8.00/5.97 tff(17074,plain,
% 8.00/5.97 ((~v101(constB131)) | (~v110(constB131))),
% 8.00/5.97 inference(unit_resolution,[status(thm)],[17073, 17072])).
% 8.00/5.97 tff(17075,plain,
% 8.00/5.97 ((~(v100(constB131) <=> (~((~v101(constB131)) | (~v110(constB131)))))) | (~v100(constB131)) | (~((~v101(constB131)) | (~v110(constB131))))),
% 8.00/5.97 inference(tautology,[status(thm)],[])).
% 8.00/5.97 tff(17076,plain,
% 8.00/5.97 (~v100(constB131)),
% 8.00/5.97 inference(unit_resolution,[status(thm)],[17075, 17074, 17057])).
% 8.00/5.97 tff(17077,plain,
% 8.00/5.97 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB131) | (~nextState(constB130, constB131)) | (~(((~v90(constB131, bitIndex1)) <=> v90(constB130, bitIndex1)) | ((~v90(constB131, bitIndex2)) <=> v90(constB130, bitIndex2)) | ((~v90(constB131, bitIndex0)) <=> v90(constB130, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB131) | (~nextState(constB130, constB131)) | (~(((~v90(constB131, bitIndex1)) <=> v90(constB130, bitIndex1)) | ((~v90(constB131, bitIndex2)) <=> v90(constB130, bitIndex2)) | ((~v90(constB131, bitIndex0)) <=> v90(constB130, bitIndex0)))))),
% 8.00/5.97 inference(rewrite,[status(thm)],[])).
% 8.00/5.97 tff(17078,plain,
% 8.00/5.97 ((v100(constB131) | (~nextState(constB130, constB131)) | (~(((~v90(constB131, bitIndex2)) <=> v90(constB130, bitIndex2)) | ((~v90(constB131, bitIndex1)) <=> v90(constB130, bitIndex1)) | ((~v90(constB131, bitIndex0)) <=> v90(constB130, bitIndex0))))) <=> (v100(constB131) | (~nextState(constB130, constB131)) | (~(((~v90(constB131, bitIndex1)) <=> v90(constB130, bitIndex1)) | ((~v90(constB131, bitIndex2)) <=> v90(constB130, bitIndex2)) | ((~v90(constB131, bitIndex0)) <=> v90(constB130, bitIndex0)))))),
% 8.00/5.97 inference(rewrite,[status(thm)],[])).
% 8.00/5.97 tff(17079,plain,
% 8.00/5.97 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB131) | (~nextState(constB130, constB131)) | (~(((~v90(constB131, bitIndex2)) <=> v90(constB130, bitIndex2)) | ((~v90(constB131, bitIndex1)) <=> v90(constB130, bitIndex1)) | ((~v90(constB131, bitIndex0)) <=> v90(constB130, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB131) | (~nextState(constB130, constB131)) | (~(((~v90(constB131, bitIndex1)) <=> v90(constB130, bitIndex1)) | ((~v90(constB131, bitIndex2)) <=> v90(constB130, bitIndex2)) | ((~v90(constB131, bitIndex0)) <=> v90(constB130, bitIndex0))))))),
% 8.00/5.97 inference(monotonicity,[status(thm)],[17078])).
% 8.00/5.97 tff(17080,plain,
% 8.00/5.97 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB131) | (~nextState(constB130, constB131)) | (~(((~v90(constB131, bitIndex2)) <=> v90(constB130, bitIndex2)) | ((~v90(constB131, bitIndex1)) <=> v90(constB130, bitIndex1)) | ((~v90(constB131, bitIndex0)) <=> v90(constB130, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB131) | (~nextState(constB130, constB131)) | (~(((~v90(constB131, bitIndex1)) <=> v90(constB130, bitIndex1)) | ((~v90(constB131, bitIndex2)) <=> v90(constB130, bitIndex2)) | ((~v90(constB131, bitIndex0)) <=> v90(constB130, bitIndex0)))))),
% 8.00/5.97 inference(transitivity,[status(thm)],[17079, 17077])).
% 8.00/5.97 tff(17081,plain,
% 8.00/5.97 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB131) | (~nextState(constB130, constB131)) | (~(((~v90(constB131, bitIndex2)) <=> v90(constB130, bitIndex2)) | ((~v90(constB131, bitIndex1)) <=> v90(constB130, bitIndex1)) | ((~v90(constB131, bitIndex0)) <=> v90(constB130, bitIndex0)))))),
% 8.00/5.97 inference(quant_inst,[status(thm)],[])).
% 8.00/5.97 tff(17082,plain,
% 8.00/5.97 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB131) | (~nextState(constB130, constB131)) | (~(((~v90(constB131, bitIndex1)) <=> v90(constB130, bitIndex1)) | ((~v90(constB131, bitIndex2)) <=> v90(constB130, bitIndex2)) | ((~v90(constB131, bitIndex0)) <=> v90(constB130, bitIndex0))))),
% 8.00/5.98 inference(modus_ponens,[status(thm)],[17081, 17080])).
% 8.00/5.98 tff(17083,plain,
% 8.00/5.98 (v100(constB131) | (~(((~v90(constB131, bitIndex1)) <=> v90(constB130, bitIndex1)) | ((~v90(constB131, bitIndex2)) <=> v90(constB130, bitIndex2)) | ((~v90(constB131, bitIndex0)) <=> v90(constB130, bitIndex0))))),
% 8.00/5.98 inference(unit_resolution,[status(thm)],[17082, 17053, 494])).
% 8.00/5.98 tff(17084,plain,
% 8.00/5.98 (~(((~v90(constB131, bitIndex1)) <=> v90(constB130, bitIndex1)) | ((~v90(constB131, bitIndex2)) <=> v90(constB130, bitIndex2)) | ((~v90(constB131, bitIndex0)) <=> v90(constB130, bitIndex0)))),
% 8.00/5.98 inference(unit_resolution,[status(thm)],[17083, 17076])).
% 8.00/5.98 tff(17085,plain,
% 8.00/5.98 ((((~v90(constB131, bitIndex1)) <=> v90(constB130, bitIndex1)) | ((~v90(constB131, bitIndex2)) <=> v90(constB130, bitIndex2)) | ((~v90(constB131, bitIndex0)) <=> v90(constB130, bitIndex0))) | (~((~v90(constB131, bitIndex2)) <=> v90(constB130, bitIndex2)))),
% 8.00/5.98 inference(tautology,[status(thm)],[])).
% 8.00/5.98 tff(17086,plain,
% 8.00/5.98 (~((~v90(constB131, bitIndex2)) <=> v90(constB130, bitIndex2))),
% 8.00/5.98 inference(unit_resolution,[status(thm)],[17085, 17084])).
% 8.00/5.98 tff(17087,plain,
% 8.00/5.98 (nextState(constB129, constB130) <=> nextState(constB129, constB130)),
% 8.00/5.98 inference(rewrite,[status(thm)],[])).
% 8.00/5.98 tff(17088,axiom,(nextState(constB129, constB130)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_129')).
% 8.00/5.98 tff(17089,plain,
% 8.00/5.98 (nextState(constB129, constB130)),
% 8.00/5.98 inference(modus_ponens,[status(thm)],[17088, 17087])).
% 8.00/5.98 tff(17090,plain,
% 8.00/5.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB129, constB130)) | (~(((~v129(constB130, bitIndex2)) <=> v127(constB129, bitIndex2)) | ((~v129(constB130, bitIndex1)) <=> v127(constB129, bitIndex1)) | ((~v129(constB130, bitIndex0)) <=> v127(constB129, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB129, constB130)) | (~(((~v129(constB130, bitIndex2)) <=> v127(constB129, bitIndex2)) | ((~v129(constB130, bitIndex1)) <=> v127(constB129, bitIndex1)) | ((~v129(constB130, bitIndex0)) <=> v127(constB129, bitIndex0)))))),
% 8.00/5.98 inference(rewrite,[status(thm)],[])).
% 8.00/5.98 tff(17091,plain,
% 8.00/5.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB129, constB130)) | (~(((~v129(constB130, bitIndex2)) <=> v127(constB129, bitIndex2)) | ((~v129(constB130, bitIndex1)) <=> v127(constB129, bitIndex1)) | ((~v129(constB130, bitIndex0)) <=> v127(constB129, bitIndex0)))))),
% 8.00/5.98 inference(quant_inst,[status(thm)],[])).
% 8.00/5.98 tff(17092,plain,
% 8.00/5.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB129, constB130)) | (~(((~v129(constB130, bitIndex2)) <=> v127(constB129, bitIndex2)) | ((~v129(constB130, bitIndex1)) <=> v127(constB129, bitIndex1)) | ((~v129(constB130, bitIndex0)) <=> v127(constB129, bitIndex0))))),
% 8.00/5.98 inference(modus_ponens,[status(thm)],[17091, 17090])).
% 8.00/5.98 tff(17093,plain,
% 8.00/5.98 (~(((~v129(constB130, bitIndex2)) <=> v127(constB129, bitIndex2)) | ((~v129(constB130, bitIndex1)) <=> v127(constB129, bitIndex1)) | ((~v129(constB130, bitIndex0)) <=> v127(constB129, bitIndex0)))),
% 8.00/5.98 inference(unit_resolution,[status(thm)],[17092, 17089, 517])).
% 8.00/5.98 tff(17094,plain,
% 8.00/5.98 ((((~v129(constB130, bitIndex2)) <=> v127(constB129, bitIndex2)) | ((~v129(constB130, bitIndex1)) <=> v127(constB129, bitIndex1)) | ((~v129(constB130, bitIndex0)) <=> v127(constB129, bitIndex0))) | (~((~v129(constB130, bitIndex2)) <=> v127(constB129, bitIndex2)))),
% 8.00/5.98 inference(tautology,[status(thm)],[])).
% 8.00/5.98 tff(17095,plain,
% 8.00/5.98 (~((~v129(constB130, bitIndex2)) <=> v127(constB129, bitIndex2))),
% 8.00/5.98 inference(unit_resolution,[status(thm)],[17094, 17093])).
% 8.00/5.98 tff(17096,plain,
% 8.00/5.98 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB129) <=> v26(constB129))),
% 8.00/5.98 inference(quant_inst,[status(thm)],[])).
% 8.00/5.98 tff(17097,plain,
% 8.00/5.98 (v111(constB129) <=> v26(constB129)),
% 8.00/5.98 inference(unit_resolution,[status(thm)],[17096, 536])).
% 8.00/5.98 tff(17098,plain,
% 8.00/5.98 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB129))),
% 8.00/5.98 inference(quant_inst,[status(thm)],[])).
% 8.00/5.98 tff(17099,plain,
% 8.00/5.98 (~v26(constB129)),
% 8.00/5.98 inference(unit_resolution,[status(thm)],[17098, 548])).
% 8.00/5.98 tff(17100,plain,
% 8.00/5.98 ((~(v111(constB129) <=> v26(constB129))) | (~v111(constB129)) | v26(constB129)),
% 8.00/5.98 inference(tautology,[status(thm)],[])).
% 8.00/5.98 tff(17101,plain,
% 8.00/5.98 ((~(v111(constB129) <=> v26(constB129))) | (~v111(constB129))),
% 8.00/5.98 inference(unit_resolution,[status(thm)],[17100, 17099])).
% 8.00/5.98 tff(17102,plain,
% 8.00/5.98 (~v111(constB129)),
% 8.00/5.98 inference(unit_resolution,[status(thm)],[17101, 17097])).
% 8.00/5.98 tff(17103,plain,
% 8.00/5.98 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB129) | (~(((~v127(constB129, bitIndex2)) <=> v130(constB129, bitIndex2)) | ((~v127(constB129, bitIndex1)) <=> v130(constB129, bitIndex1)) | ((~v127(constB129, bitIndex0)) <=> v130(constB129, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB129) | (~(((~v127(constB129, bitIndex2)) <=> v130(constB129, bitIndex2)) | ((~v127(constB129, bitIndex1)) <=> v130(constB129, bitIndex1)) | ((~v127(constB129, bitIndex0)) <=> v130(constB129, bitIndex0)))))),
% 8.00/5.98 inference(rewrite,[status(thm)],[])).
% 8.00/5.98 tff(17104,plain,
% 8.00/5.98 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB129) | (~(((~v127(constB129, bitIndex2)) <=> v130(constB129, bitIndex2)) | ((~v127(constB129, bitIndex1)) <=> v130(constB129, bitIndex1)) | ((~v127(constB129, bitIndex0)) <=> v130(constB129, bitIndex0)))))),
% 8.00/5.98 inference(quant_inst,[status(thm)],[])).
% 8.00/5.98 tff(17105,plain,
% 8.00/5.98 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB129) | (~(((~v127(constB129, bitIndex2)) <=> v130(constB129, bitIndex2)) | ((~v127(constB129, bitIndex1)) <=> v130(constB129, bitIndex1)) | ((~v127(constB129, bitIndex0)) <=> v130(constB129, bitIndex0))))),
% 8.00/5.98 inference(modus_ponens,[status(thm)],[17104, 17103])).
% 8.00/5.98 tff(17106,plain,
% 8.00/5.98 (v111(constB129) | (~(((~v127(constB129, bitIndex2)) <=> v130(constB129, bitIndex2)) | ((~v127(constB129, bitIndex1)) <=> v130(constB129, bitIndex1)) | ((~v127(constB129, bitIndex0)) <=> v130(constB129, bitIndex0))))),
% 8.00/5.98 inference(unit_resolution,[status(thm)],[17105, 566])).
% 8.00/5.98 tff(17107,plain,
% 8.00/5.98 (~(((~v127(constB129, bitIndex2)) <=> v130(constB129, bitIndex2)) | ((~v127(constB129, bitIndex1)) <=> v130(constB129, bitIndex1)) | ((~v127(constB129, bitIndex0)) <=> v130(constB129, bitIndex0)))),
% 8.00/5.98 inference(unit_resolution,[status(thm)],[17106, 17102])).
% 8.00/5.98 tff(17108,plain,
% 8.00/5.98 ((((~v127(constB129, bitIndex2)) <=> v130(constB129, bitIndex2)) | ((~v127(constB129, bitIndex1)) <=> v130(constB129, bitIndex1)) | ((~v127(constB129, bitIndex0)) <=> v130(constB129, bitIndex0))) | (~((~v127(constB129, bitIndex2)) <=> v130(constB129, bitIndex2)))),
% 8.00/5.98 inference(tautology,[status(thm)],[])).
% 8.00/5.98 tff(17109,plain,
% 8.00/5.98 (~((~v127(constB129, bitIndex2)) <=> v130(constB129, bitIndex2))),
% 8.00/5.98 inference(unit_resolution,[status(thm)],[17108, 17107])).
% 8.00/5.98 tff(17110,plain,
% 8.00/5.98 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB129) <=> (~(v90(constB129, bitIndex2) | v90(constB129, bitIndex0) | (~v90(constB129, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB129) <=> (~(v90(constB129, bitIndex2) | v90(constB129, bitIndex0) | (~v90(constB129, bitIndex1))))))),
% 8.00/5.98 inference(rewrite,[status(thm)],[])).
% 8.00/5.98 tff(17111,plain,
% 8.00/5.98 ((v121(constB129) <=> (~(v90(constB129, bitIndex0) | v90(constB129, bitIndex2) | (~v90(constB129, bitIndex1))))) <=> (v121(constB129) <=> (~(v90(constB129, bitIndex2) | v90(constB129, bitIndex0) | (~v90(constB129, bitIndex1)))))),
% 8.00/5.98 inference(rewrite,[status(thm)],[])).
% 8.00/5.98 tff(17112,plain,
% 8.00/5.98 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB129) <=> (~(v90(constB129, bitIndex0) | v90(constB129, bitIndex2) | (~v90(constB129, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB129) <=> (~(v90(constB129, bitIndex2) | v90(constB129, bitIndex0) | (~v90(constB129, bitIndex1))))))),
% 8.00/5.98 inference(monotonicity,[status(thm)],[17111])).
% 8.00/5.98 tff(17113,plain,
% 8.00/5.98 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB129) <=> (~(v90(constB129, bitIndex0) | v90(constB129, bitIndex2) | (~v90(constB129, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB129) <=> (~(v90(constB129, bitIndex2) | v90(constB129, bitIndex0) | (~v90(constB129, bitIndex1))))))),
% 8.00/5.98 inference(transitivity,[status(thm)],[17112, 17110])).
% 8.00/5.98 tff(17114,plain,
% 8.00/5.98 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB129) <=> (~(v90(constB129, bitIndex0) | v90(constB129, bitIndex2) | (~v90(constB129, bitIndex1)))))),
% 8.00/5.98 inference(quant_inst,[status(thm)],[])).
% 8.00/5.98 tff(17115,plain,
% 8.00/5.98 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB129) <=> (~(v90(constB129, bitIndex2) | v90(constB129, bitIndex0) | (~v90(constB129, bitIndex1)))))),
% 8.00/5.98 inference(modus_ponens,[status(thm)],[17114, 17113])).
% 8.00/5.98 tff(17116,plain,
% 8.00/5.98 (v121(constB129) <=> (~(v90(constB129, bitIndex2) | v90(constB129, bitIndex0) | (~v90(constB129, bitIndex1))))),
% 8.00/5.98 inference(unit_resolution,[status(thm)],[17115, 586])).
% 8.00/5.98 tff(17117,plain,
% 8.00/5.98 (nextState(constB128, constB129) <=> nextState(constB128, constB129)),
% 8.00/5.98 inference(rewrite,[status(thm)],[])).
% 8.00/5.98 tff(17118,axiom,(nextState(constB128, constB129)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_128')).
% 8.00/5.98 tff(17119,plain,
% 8.00/5.98 (nextState(constB128, constB129)),
% 8.00/5.98 inference(modus_ponens,[status(thm)],[17118, 17117])).
% 8.00/5.98 tff(17120,plain,
% 8.00/5.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB128, constB129)) | (v100(constB129) <=> (~((~v101(constB129)) | (~v110(constB129))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB128, constB129)) | (v100(constB129) <=> (~((~v101(constB129)) | (~v110(constB129))))))),
% 8.00/5.98 inference(rewrite,[status(thm)],[])).
% 8.00/5.98 tff(17121,plain,
% 8.00/5.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB128, constB129)) | (v100(constB129) <=> (~((~v101(constB129)) | (~v110(constB129))))))),
% 8.00/5.98 inference(quant_inst,[status(thm)],[])).
% 8.00/5.98 tff(17122,plain,
% 8.00/5.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB128, constB129)) | (v100(constB129) <=> (~((~v101(constB129)) | (~v110(constB129)))))),
% 8.00/5.98 inference(modus_ponens,[status(thm)],[17121, 17120])).
% 8.00/5.98 tff(17123,plain,
% 8.00/5.98 (v100(constB129) <=> (~((~v101(constB129)) | (~v110(constB129))))),
% 8.00/5.98 inference(unit_resolution,[status(thm)],[17122, 17119, 445])).
% 8.00/5.98 tff(17124,plain,
% 8.00/5.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB128, constB129)) | (v101(constB129) <=> (~((~v1(constB129)) | (~v102(constB129))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB128, constB129)) | (v101(constB129) <=> (~((~v1(constB129)) | (~v102(constB129))))))),
% 8.00/5.98 inference(rewrite,[status(thm)],[])).
% 8.00/5.98 tff(17125,plain,
% 8.00/5.98 (((~nextState(constB128, constB129)) | (v101(constB129) <=> (~((~v102(constB129)) | (~v1(constB129)))))) <=> ((~nextState(constB128, constB129)) | (v101(constB129) <=> (~((~v1(constB129)) | (~v102(constB129))))))),
% 8.00/5.98 inference(rewrite,[status(thm)],[])).
% 8.00/5.98 tff(17126,plain,
% 8.00/5.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB128, constB129)) | (v101(constB129) <=> (~((~v102(constB129)) | (~v1(constB129))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB128, constB129)) | (v101(constB129) <=> (~((~v1(constB129)) | (~v102(constB129)))))))),
% 8.00/5.98 inference(monotonicity,[status(thm)],[17125])).
% 8.00/5.98 tff(17127,plain,
% 8.00/5.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB128, constB129)) | (v101(constB129) <=> (~((~v102(constB129)) | (~v1(constB129))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB128, constB129)) | (v101(constB129) <=> (~((~v1(constB129)) | (~v102(constB129))))))),
% 8.00/5.98 inference(transitivity,[status(thm)],[17126, 17124])).
% 8.00/5.98 tff(17128,plain,
% 8.00/5.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB128, constB129)) | (v101(constB129) <=> (~((~v102(constB129)) | (~v1(constB129))))))),
% 8.00/5.98 inference(quant_inst,[status(thm)],[])).
% 8.00/5.98 tff(17129,plain,
% 8.00/5.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB128, constB129)) | (v101(constB129) <=> (~((~v1(constB129)) | (~v102(constB129)))))),
% 8.00/5.98 inference(modus_ponens,[status(thm)],[17128, 17127])).
% 8.00/5.98 tff(17130,plain,
% 8.00/5.98 (v101(constB129) <=> (~((~v1(constB129)) | (~v102(constB129))))),
% 8.00/5.98 inference(unit_resolution,[status(thm)],[17129, 17119, 465])).
% 8.00/5.98 tff(17131,plain,
% 8.00/5.98 ((~v1(constB129)) <=> (~v1(constB129))),
% 8.00/5.98 inference(rewrite,[status(thm)],[])).
% 8.00/5.98 tff(17132,axiom,(~v1(constB129)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_129')).
% 8.00/5.98 tff(17133,plain,
% 8.00/5.98 (~v1(constB129)),
% 8.00/5.98 inference(modus_ponens,[status(thm)],[17132, 17131])).
% 8.00/5.98 tff(17134,plain,
% 8.00/5.98 (((~v1(constB129)) | (~v102(constB129))) | v1(constB129)),
% 8.00/5.98 inference(tautology,[status(thm)],[])).
% 8.00/5.98 tff(17135,plain,
% 8.00/5.98 ((~v1(constB129)) | (~v102(constB129))),
% 8.00/5.98 inference(unit_resolution,[status(thm)],[17134, 17133])).
% 8.00/5.98 tff(17136,plain,
% 8.00/5.98 ((~(v101(constB129) <=> (~((~v1(constB129)) | (~v102(constB129)))))) | (~v101(constB129)) | (~((~v1(constB129)) | (~v102(constB129))))),
% 8.00/5.98 inference(tautology,[status(thm)],[])).
% 8.00/5.98 tff(17137,plain,
% 8.00/5.98 ((~(v101(constB129) <=> (~((~v1(constB129)) | (~v102(constB129)))))) | (~v101(constB129))),
% 8.00/5.98 inference(unit_resolution,[status(thm)],[17136, 17135])).
% 8.00/5.98 tff(17138,plain,
% 8.00/5.98 (~v101(constB129)),
% 8.00/5.98 inference(unit_resolution,[status(thm)],[17137, 17130])).
% 8.00/5.98 tff(17139,plain,
% 8.00/5.98 (((~v101(constB129)) | (~v110(constB129))) | v101(constB129)),
% 8.00/5.98 inference(tautology,[status(thm)],[])).
% 8.00/5.98 tff(17140,plain,
% 8.00/5.98 ((~v101(constB129)) | (~v110(constB129))),
% 8.00/5.98 inference(unit_resolution,[status(thm)],[17139, 17138])).
% 8.00/5.98 tff(17141,plain,
% 8.00/5.98 ((~(v100(constB129) <=> (~((~v101(constB129)) | (~v110(constB129)))))) | (~v100(constB129)) | (~((~v101(constB129)) | (~v110(constB129))))),
% 8.00/5.98 inference(tautology,[status(thm)],[])).
% 8.00/5.98 tff(17142,plain,
% 8.00/5.98 (~v100(constB129)),
% 8.00/5.98 inference(unit_resolution,[status(thm)],[17141, 17140, 17123])).
% 8.00/5.98 tff(17143,plain,
% 8.00/5.98 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB129) | (~nextState(constB128, constB129)) | (~(((~v90(constB129, bitIndex1)) <=> v90(constB128, bitIndex1)) | ((~v90(constB129, bitIndex2)) <=> v90(constB128, bitIndex2)) | ((~v90(constB129, bitIndex0)) <=> v90(constB128, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB129) | (~nextState(constB128, constB129)) | (~(((~v90(constB129, bitIndex1)) <=> v90(constB128, bitIndex1)) | ((~v90(constB129, bitIndex2)) <=> v90(constB128, bitIndex2)) | ((~v90(constB129, bitIndex0)) <=> v90(constB128, bitIndex0)))))),
% 8.00/5.98 inference(rewrite,[status(thm)],[])).
% 8.00/5.98 tff(17144,plain,
% 8.00/5.98 ((v100(constB129) | (~nextState(constB128, constB129)) | (~(((~v90(constB129, bitIndex2)) <=> v90(constB128, bitIndex2)) | ((~v90(constB129, bitIndex1)) <=> v90(constB128, bitIndex1)) | ((~v90(constB129, bitIndex0)) <=> v90(constB128, bitIndex0))))) <=> (v100(constB129) | (~nextState(constB128, constB129)) | (~(((~v90(constB129, bitIndex1)) <=> v90(constB128, bitIndex1)) | ((~v90(constB129, bitIndex2)) <=> v90(constB128, bitIndex2)) | ((~v90(constB129, bitIndex0)) <=> v90(constB128, bitIndex0)))))),
% 8.00/5.98 inference(rewrite,[status(thm)],[])).
% 8.00/5.98 tff(17145,plain,
% 8.00/5.98 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB129) | (~nextState(constB128, constB129)) | (~(((~v90(constB129, bitIndex2)) <=> v90(constB128, bitIndex2)) | ((~v90(constB129, bitIndex1)) <=> v90(constB128, bitIndex1)) | ((~v90(constB129, bitIndex0)) <=> v90(constB128, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB129) | (~nextState(constB128, constB129)) | (~(((~v90(constB129, bitIndex1)) <=> v90(constB128, bitIndex1)) | ((~v90(constB129, bitIndex2)) <=> v90(constB128, bitIndex2)) | ((~v90(constB129, bitIndex0)) <=> v90(constB128, bitIndex0))))))),
% 8.00/5.98 inference(monotonicity,[status(thm)],[17144])).
% 8.00/5.98 tff(17146,plain,
% 8.00/5.98 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB129) | (~nextState(constB128, constB129)) | (~(((~v90(constB129, bitIndex2)) <=> v90(constB128, bitIndex2)) | ((~v90(constB129, bitIndex1)) <=> v90(constB128, bitIndex1)) | ((~v90(constB129, bitIndex0)) <=> v90(constB128, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB129) | (~nextState(constB128, constB129)) | (~(((~v90(constB129, bitIndex1)) <=> v90(constB128, bitIndex1)) | ((~v90(constB129, bitIndex2)) <=> v90(constB128, bitIndex2)) | ((~v90(constB129, bitIndex0)) <=> v90(constB128, bitIndex0)))))),
% 8.00/5.98 inference(transitivity,[status(thm)],[17145, 17143])).
% 8.00/5.98 tff(17147,plain,
% 8.00/5.98 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB129) | (~nextState(constB128, constB129)) | (~(((~v90(constB129, bitIndex2)) <=> v90(constB128, bitIndex2)) | ((~v90(constB129, bitIndex1)) <=> v90(constB128, bitIndex1)) | ((~v90(constB129, bitIndex0)) <=> v90(constB128, bitIndex0)))))),
% 8.00/5.98 inference(quant_inst,[status(thm)],[])).
% 8.00/5.98 tff(17148,plain,
% 8.00/5.98 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB129) | (~nextState(constB128, constB129)) | (~(((~v90(constB129, bitIndex1)) <=> v90(constB128, bitIndex1)) | ((~v90(constB129, bitIndex2)) <=> v90(constB128, bitIndex2)) | ((~v90(constB129, bitIndex0)) <=> v90(constB128, bitIndex0))))),
% 8.00/5.98 inference(modus_ponens,[status(thm)],[17147, 17146])).
% 8.00/5.98 tff(17149,plain,
% 8.00/5.98 (v100(constB129) | (~(((~v90(constB129, bitIndex1)) <=> v90(constB128, bitIndex1)) | ((~v90(constB129, bitIndex2)) <=> v90(constB128, bitIndex2)) | ((~v90(constB129, bitIndex0)) <=> v90(constB128, bitIndex0))))),
% 8.00/5.98 inference(unit_resolution,[status(thm)],[17148, 17119, 494])).
% 8.00/5.98 tff(17150,plain,
% 8.00/5.98 (~(((~v90(constB129, bitIndex1)) <=> v90(constB128, bitIndex1)) | ((~v90(constB129, bitIndex2)) <=> v90(constB128, bitIndex2)) | ((~v90(constB129, bitIndex0)) <=> v90(constB128, bitIndex0)))),
% 8.00/5.98 inference(unit_resolution,[status(thm)],[17149, 17142])).
% 8.00/5.98 tff(17151,plain,
% 8.00/5.98 ((((~v90(constB129, bitIndex1)) <=> v90(constB128, bitIndex1)) | ((~v90(constB129, bitIndex2)) <=> v90(constB128, bitIndex2)) | ((~v90(constB129, bitIndex0)) <=> v90(constB128, bitIndex0))) | (~((~v90(constB129, bitIndex2)) <=> v90(constB128, bitIndex2)))),
% 8.00/5.98 inference(tautology,[status(thm)],[])).
% 8.00/5.98 tff(17152,plain,
% 8.00/5.98 (~((~v90(constB129, bitIndex2)) <=> v90(constB128, bitIndex2))),
% 8.00/5.98 inference(unit_resolution,[status(thm)],[17151, 17150])).
% 8.00/5.98 tff(17153,plain,
% 8.00/5.98 (nextState(constB127, constB128) <=> nextState(constB127, constB128)),
% 8.00/5.98 inference(rewrite,[status(thm)],[])).
% 8.00/5.98 tff(17154,axiom,(nextState(constB127, constB128)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_127')).
% 8.00/5.98 tff(17155,plain,
% 8.00/5.98 (nextState(constB127, constB128)),
% 8.00/5.98 inference(modus_ponens,[status(thm)],[17154, 17153])).
% 8.00/5.98 tff(17156,plain,
% 8.00/5.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB127, constB128)) | (~(((~v129(constB128, bitIndex2)) <=> v127(constB127, bitIndex2)) | ((~v129(constB128, bitIndex1)) <=> v127(constB127, bitIndex1)) | ((~v129(constB128, bitIndex0)) <=> v127(constB127, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB127, constB128)) | (~(((~v129(constB128, bitIndex2)) <=> v127(constB127, bitIndex2)) | ((~v129(constB128, bitIndex1)) <=> v127(constB127, bitIndex1)) | ((~v129(constB128, bitIndex0)) <=> v127(constB127, bitIndex0)))))),
% 8.00/5.98 inference(rewrite,[status(thm)],[])).
% 8.00/5.98 tff(17157,plain,
% 8.00/5.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB127, constB128)) | (~(((~v129(constB128, bitIndex2)) <=> v127(constB127, bitIndex2)) | ((~v129(constB128, bitIndex1)) <=> v127(constB127, bitIndex1)) | ((~v129(constB128, bitIndex0)) <=> v127(constB127, bitIndex0)))))),
% 8.00/5.98 inference(quant_inst,[status(thm)],[])).
% 8.00/5.98 tff(17158,plain,
% 8.00/5.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB127, constB128)) | (~(((~v129(constB128, bitIndex2)) <=> v127(constB127, bitIndex2)) | ((~v129(constB128, bitIndex1)) <=> v127(constB127, bitIndex1)) | ((~v129(constB128, bitIndex0)) <=> v127(constB127, bitIndex0))))),
% 8.00/5.98 inference(modus_ponens,[status(thm)],[17157, 17156])).
% 8.00/5.98 tff(17159,plain,
% 8.00/5.98 (~(((~v129(constB128, bitIndex2)) <=> v127(constB127, bitIndex2)) | ((~v129(constB128, bitIndex1)) <=> v127(constB127, bitIndex1)) | ((~v129(constB128, bitIndex0)) <=> v127(constB127, bitIndex0)))),
% 8.00/5.98 inference(unit_resolution,[status(thm)],[17158, 17155, 517])).
% 8.00/5.98 tff(17160,plain,
% 8.00/5.98 ((((~v129(constB128, bitIndex2)) <=> v127(constB127, bitIndex2)) | ((~v129(constB128, bitIndex1)) <=> v127(constB127, bitIndex1)) | ((~v129(constB128, bitIndex0)) <=> v127(constB127, bitIndex0))) | (~((~v129(constB128, bitIndex2)) <=> v127(constB127, bitIndex2)))),
% 8.00/5.98 inference(tautology,[status(thm)],[])).
% 8.00/5.98 tff(17161,plain,
% 8.00/5.98 (~((~v129(constB128, bitIndex2)) <=> v127(constB127, bitIndex2))),
% 8.00/5.98 inference(unit_resolution,[status(thm)],[17160, 17159])).
% 8.00/5.98 tff(17162,plain,
% 8.00/5.98 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB127) <=> v26(constB127))),
% 8.00/5.98 inference(quant_inst,[status(thm)],[])).
% 8.00/5.98 tff(17163,plain,
% 8.00/5.98 (v111(constB127) <=> v26(constB127)),
% 8.00/5.98 inference(unit_resolution,[status(thm)],[17162, 536])).
% 8.00/5.98 tff(17164,plain,
% 8.00/5.98 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB127))),
% 8.00/5.98 inference(quant_inst,[status(thm)],[])).
% 8.00/5.98 tff(17165,plain,
% 8.00/5.98 (~v26(constB127)),
% 8.00/5.98 inference(unit_resolution,[status(thm)],[17164, 548])).
% 8.00/5.98 tff(17166,plain,
% 8.00/5.98 ((~(v111(constB127) <=> v26(constB127))) | (~v111(constB127)) | v26(constB127)),
% 8.00/5.98 inference(tautology,[status(thm)],[])).
% 8.00/5.98 tff(17167,plain,
% 8.00/5.98 ((~(v111(constB127) <=> v26(constB127))) | (~v111(constB127))),
% 8.00/5.98 inference(unit_resolution,[status(thm)],[17166, 17165])).
% 8.00/5.98 tff(17168,plain,
% 8.00/5.98 (~v111(constB127)),
% 8.00/5.98 inference(unit_resolution,[status(thm)],[17167, 17163])).
% 8.00/5.98 tff(17169,plain,
% 8.00/5.98 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB127) | (~(((~v127(constB127, bitIndex2)) <=> v130(constB127, bitIndex2)) | ((~v127(constB127, bitIndex1)) <=> v130(constB127, bitIndex1)) | ((~v127(constB127, bitIndex0)) <=> v130(constB127, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB127) | (~(((~v127(constB127, bitIndex2)) <=> v130(constB127, bitIndex2)) | ((~v127(constB127, bitIndex1)) <=> v130(constB127, bitIndex1)) | ((~v127(constB127, bitIndex0)) <=> v130(constB127, bitIndex0)))))),
% 8.00/5.99 inference(rewrite,[status(thm)],[])).
% 8.00/5.99 tff(17170,plain,
% 8.00/5.99 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB127) | (~(((~v127(constB127, bitIndex2)) <=> v130(constB127, bitIndex2)) | ((~v127(constB127, bitIndex1)) <=> v130(constB127, bitIndex1)) | ((~v127(constB127, bitIndex0)) <=> v130(constB127, bitIndex0)))))),
% 8.00/5.99 inference(quant_inst,[status(thm)],[])).
% 8.00/5.99 tff(17171,plain,
% 8.00/5.99 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB127) | (~(((~v127(constB127, bitIndex2)) <=> v130(constB127, bitIndex2)) | ((~v127(constB127, bitIndex1)) <=> v130(constB127, bitIndex1)) | ((~v127(constB127, bitIndex0)) <=> v130(constB127, bitIndex0))))),
% 8.00/5.99 inference(modus_ponens,[status(thm)],[17170, 17169])).
% 8.00/5.99 tff(17172,plain,
% 8.00/5.99 (v111(constB127) | (~(((~v127(constB127, bitIndex2)) <=> v130(constB127, bitIndex2)) | ((~v127(constB127, bitIndex1)) <=> v130(constB127, bitIndex1)) | ((~v127(constB127, bitIndex0)) <=> v130(constB127, bitIndex0))))),
% 8.00/5.99 inference(unit_resolution,[status(thm)],[17171, 566])).
% 8.00/5.99 tff(17173,plain,
% 8.00/5.99 (~(((~v127(constB127, bitIndex2)) <=> v130(constB127, bitIndex2)) | ((~v127(constB127, bitIndex1)) <=> v130(constB127, bitIndex1)) | ((~v127(constB127, bitIndex0)) <=> v130(constB127, bitIndex0)))),
% 8.00/5.99 inference(unit_resolution,[status(thm)],[17172, 17168])).
% 8.00/5.99 tff(17174,plain,
% 8.00/5.99 ((((~v127(constB127, bitIndex2)) <=> v130(constB127, bitIndex2)) | ((~v127(constB127, bitIndex1)) <=> v130(constB127, bitIndex1)) | ((~v127(constB127, bitIndex0)) <=> v130(constB127, bitIndex0))) | (~((~v127(constB127, bitIndex2)) <=> v130(constB127, bitIndex2)))),
% 8.00/5.99 inference(tautology,[status(thm)],[])).
% 8.00/5.99 tff(17175,plain,
% 8.00/5.99 (~((~v127(constB127, bitIndex2)) <=> v130(constB127, bitIndex2))),
% 8.00/5.99 inference(unit_resolution,[status(thm)],[17174, 17173])).
% 8.00/5.99 tff(17176,plain,
% 8.00/5.99 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB127) <=> (~(v90(constB127, bitIndex1) | v90(constB127, bitIndex2) | (~v90(constB127, bitIndex0)))))),
% 8.00/5.99 inference(quant_inst,[status(thm)],[])).
% 8.00/5.99 tff(17177,plain,
% 8.00/5.99 (v120(constB127) <=> (~(v90(constB127, bitIndex1) | v90(constB127, bitIndex2) | (~v90(constB127, bitIndex0))))),
% 8.00/5.99 inference(unit_resolution,[status(thm)],[17176, 665])).
% 8.00/5.99 tff(17178,plain,
% 8.00/5.99 (nextState(constB126, constB127) <=> nextState(constB126, constB127)),
% 8.00/5.99 inference(rewrite,[status(thm)],[])).
% 8.00/5.99 tff(17179,axiom,(nextState(constB126, constB127)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_126')).
% 8.00/5.99 tff(17180,plain,
% 8.00/5.99 (nextState(constB126, constB127)),
% 8.00/5.99 inference(modus_ponens,[status(thm)],[17179, 17178])).
% 8.00/5.99 tff(17181,plain,
% 8.00/5.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB126, constB127)) | (v100(constB127) <=> (~((~v101(constB127)) | (~v110(constB127))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB126, constB127)) | (v100(constB127) <=> (~((~v101(constB127)) | (~v110(constB127))))))),
% 8.00/5.99 inference(rewrite,[status(thm)],[])).
% 8.00/5.99 tff(17182,plain,
% 8.00/5.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB126, constB127)) | (v100(constB127) <=> (~((~v101(constB127)) | (~v110(constB127))))))),
% 8.00/5.99 inference(quant_inst,[status(thm)],[])).
% 8.00/5.99 tff(17183,plain,
% 8.00/5.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB126, constB127)) | (v100(constB127) <=> (~((~v101(constB127)) | (~v110(constB127)))))),
% 8.00/5.99 inference(modus_ponens,[status(thm)],[17182, 17181])).
% 8.00/5.99 tff(17184,plain,
% 8.00/5.99 (v100(constB127) <=> (~((~v101(constB127)) | (~v110(constB127))))),
% 8.00/5.99 inference(unit_resolution,[status(thm)],[17183, 17180, 445])).
% 8.00/5.99 tff(17185,plain,
% 8.00/5.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB126, constB127)) | (v101(constB127) <=> (~((~v1(constB127)) | (~v102(constB127))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB126, constB127)) | (v101(constB127) <=> (~((~v1(constB127)) | (~v102(constB127))))))),
% 8.00/5.99 inference(rewrite,[status(thm)],[])).
% 8.00/5.99 tff(17186,plain,
% 8.00/5.99 (((~nextState(constB126, constB127)) | (v101(constB127) <=> (~((~v102(constB127)) | (~v1(constB127)))))) <=> ((~nextState(constB126, constB127)) | (v101(constB127) <=> (~((~v1(constB127)) | (~v102(constB127))))))),
% 8.00/5.99 inference(rewrite,[status(thm)],[])).
% 8.00/5.99 tff(17187,plain,
% 8.00/5.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB126, constB127)) | (v101(constB127) <=> (~((~v102(constB127)) | (~v1(constB127))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB126, constB127)) | (v101(constB127) <=> (~((~v1(constB127)) | (~v102(constB127)))))))),
% 8.00/5.99 inference(monotonicity,[status(thm)],[17186])).
% 8.00/5.99 tff(17188,plain,
% 8.00/5.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB126, constB127)) | (v101(constB127) <=> (~((~v102(constB127)) | (~v1(constB127))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB126, constB127)) | (v101(constB127) <=> (~((~v1(constB127)) | (~v102(constB127))))))),
% 8.00/5.99 inference(transitivity,[status(thm)],[17187, 17185])).
% 8.00/5.99 tff(17189,plain,
% 8.00/5.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB126, constB127)) | (v101(constB127) <=> (~((~v102(constB127)) | (~v1(constB127))))))),
% 8.00/5.99 inference(quant_inst,[status(thm)],[])).
% 8.00/5.99 tff(17190,plain,
% 8.00/5.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB126, constB127)) | (v101(constB127) <=> (~((~v1(constB127)) | (~v102(constB127)))))),
% 8.00/5.99 inference(modus_ponens,[status(thm)],[17189, 17188])).
% 8.00/5.99 tff(17191,plain,
% 8.00/5.99 (v101(constB127) <=> (~((~v1(constB127)) | (~v102(constB127))))),
% 8.00/5.99 inference(unit_resolution,[status(thm)],[17190, 17180, 465])).
% 8.00/5.99 tff(17192,plain,
% 8.00/5.99 ((~v1(constB127)) <=> (~v1(constB127))),
% 8.00/5.99 inference(rewrite,[status(thm)],[])).
% 8.00/5.99 tff(17193,axiom,(~v1(constB127)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_127')).
% 8.00/5.99 tff(17194,plain,
% 8.00/5.99 (~v1(constB127)),
% 8.00/5.99 inference(modus_ponens,[status(thm)],[17193, 17192])).
% 8.00/5.99 tff(17195,plain,
% 8.00/5.99 (((~v1(constB127)) | (~v102(constB127))) | v1(constB127)),
% 8.00/5.99 inference(tautology,[status(thm)],[])).
% 8.00/5.99 tff(17196,plain,
% 8.00/5.99 ((~v1(constB127)) | (~v102(constB127))),
% 8.00/5.99 inference(unit_resolution,[status(thm)],[17195, 17194])).
% 8.00/5.99 tff(17197,plain,
% 8.00/5.99 ((~(v101(constB127) <=> (~((~v1(constB127)) | (~v102(constB127)))))) | (~v101(constB127)) | (~((~v1(constB127)) | (~v102(constB127))))),
% 8.00/5.99 inference(tautology,[status(thm)],[])).
% 8.00/5.99 tff(17198,plain,
% 8.00/5.99 ((~(v101(constB127) <=> (~((~v1(constB127)) | (~v102(constB127)))))) | (~v101(constB127))),
% 8.00/5.99 inference(unit_resolution,[status(thm)],[17197, 17196])).
% 8.00/5.99 tff(17199,plain,
% 8.00/5.99 (~v101(constB127)),
% 8.00/5.99 inference(unit_resolution,[status(thm)],[17198, 17191])).
% 8.00/5.99 tff(17200,plain,
% 8.00/5.99 (((~v101(constB127)) | (~v110(constB127))) | v101(constB127)),
% 8.00/5.99 inference(tautology,[status(thm)],[])).
% 8.00/5.99 tff(17201,plain,
% 8.00/5.99 ((~v101(constB127)) | (~v110(constB127))),
% 8.00/5.99 inference(unit_resolution,[status(thm)],[17200, 17199])).
% 8.00/5.99 tff(17202,plain,
% 8.00/5.99 ((~(v100(constB127) <=> (~((~v101(constB127)) | (~v110(constB127)))))) | (~v100(constB127)) | (~((~v101(constB127)) | (~v110(constB127))))),
% 8.00/5.99 inference(tautology,[status(thm)],[])).
% 8.00/5.99 tff(17203,plain,
% 8.00/5.99 (~v100(constB127)),
% 8.00/5.99 inference(unit_resolution,[status(thm)],[17202, 17201, 17184])).
% 8.00/5.99 tff(17204,plain,
% 8.00/5.99 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB127) | (~nextState(constB126, constB127)) | (~(((~v90(constB127, bitIndex1)) <=> v90(constB126, bitIndex1)) | ((~v90(constB127, bitIndex2)) <=> v90(constB126, bitIndex2)) | ((~v90(constB127, bitIndex0)) <=> v90(constB126, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB127) | (~nextState(constB126, constB127)) | (~(((~v90(constB127, bitIndex1)) <=> v90(constB126, bitIndex1)) | ((~v90(constB127, bitIndex2)) <=> v90(constB126, bitIndex2)) | ((~v90(constB127, bitIndex0)) <=> v90(constB126, bitIndex0)))))),
% 8.00/5.99 inference(rewrite,[status(thm)],[])).
% 8.00/5.99 tff(17205,plain,
% 8.00/5.99 ((v100(constB127) | (~nextState(constB126, constB127)) | (~(((~v90(constB127, bitIndex2)) <=> v90(constB126, bitIndex2)) | ((~v90(constB127, bitIndex1)) <=> v90(constB126, bitIndex1)) | ((~v90(constB127, bitIndex0)) <=> v90(constB126, bitIndex0))))) <=> (v100(constB127) | (~nextState(constB126, constB127)) | (~(((~v90(constB127, bitIndex1)) <=> v90(constB126, bitIndex1)) | ((~v90(constB127, bitIndex2)) <=> v90(constB126, bitIndex2)) | ((~v90(constB127, bitIndex0)) <=> v90(constB126, bitIndex0)))))),
% 8.00/5.99 inference(rewrite,[status(thm)],[])).
% 8.00/5.99 tff(17206,plain,
% 8.00/5.99 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB127) | (~nextState(constB126, constB127)) | (~(((~v90(constB127, bitIndex2)) <=> v90(constB126, bitIndex2)) | ((~v90(constB127, bitIndex1)) <=> v90(constB126, bitIndex1)) | ((~v90(constB127, bitIndex0)) <=> v90(constB126, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB127) | (~nextState(constB126, constB127)) | (~(((~v90(constB127, bitIndex1)) <=> v90(constB126, bitIndex1)) | ((~v90(constB127, bitIndex2)) <=> v90(constB126, bitIndex2)) | ((~v90(constB127, bitIndex0)) <=> v90(constB126, bitIndex0))))))),
% 8.00/5.99 inference(monotonicity,[status(thm)],[17205])).
% 8.00/5.99 tff(17207,plain,
% 8.00/5.99 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB127) | (~nextState(constB126, constB127)) | (~(((~v90(constB127, bitIndex2)) <=> v90(constB126, bitIndex2)) | ((~v90(constB127, bitIndex1)) <=> v90(constB126, bitIndex1)) | ((~v90(constB127, bitIndex0)) <=> v90(constB126, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB127) | (~nextState(constB126, constB127)) | (~(((~v90(constB127, bitIndex1)) <=> v90(constB126, bitIndex1)) | ((~v90(constB127, bitIndex2)) <=> v90(constB126, bitIndex2)) | ((~v90(constB127, bitIndex0)) <=> v90(constB126, bitIndex0)))))),
% 8.00/5.99 inference(transitivity,[status(thm)],[17206, 17204])).
% 8.00/5.99 tff(17208,plain,
% 8.00/5.99 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB127) | (~nextState(constB126, constB127)) | (~(((~v90(constB127, bitIndex2)) <=> v90(constB126, bitIndex2)) | ((~v90(constB127, bitIndex1)) <=> v90(constB126, bitIndex1)) | ((~v90(constB127, bitIndex0)) <=> v90(constB126, bitIndex0)))))),
% 8.00/5.99 inference(quant_inst,[status(thm)],[])).
% 8.00/5.99 tff(17209,plain,
% 8.00/5.99 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB127) | (~nextState(constB126, constB127)) | (~(((~v90(constB127, bitIndex1)) <=> v90(constB126, bitIndex1)) | ((~v90(constB127, bitIndex2)) <=> v90(constB126, bitIndex2)) | ((~v90(constB127, bitIndex0)) <=> v90(constB126, bitIndex0))))),
% 8.00/5.99 inference(modus_ponens,[status(thm)],[17208, 17207])).
% 8.00/5.99 tff(17210,plain,
% 8.00/5.99 (v100(constB127) | (~(((~v90(constB127, bitIndex1)) <=> v90(constB126, bitIndex1)) | ((~v90(constB127, bitIndex2)) <=> v90(constB126, bitIndex2)) | ((~v90(constB127, bitIndex0)) <=> v90(constB126, bitIndex0))))),
% 8.00/5.99 inference(unit_resolution,[status(thm)],[17209, 17180, 494])).
% 8.00/5.99 tff(17211,plain,
% 8.00/5.99 (~(((~v90(constB127, bitIndex1)) <=> v90(constB126, bitIndex1)) | ((~v90(constB127, bitIndex2)) <=> v90(constB126, bitIndex2)) | ((~v90(constB127, bitIndex0)) <=> v90(constB126, bitIndex0)))),
% 8.00/5.99 inference(unit_resolution,[status(thm)],[17210, 17203])).
% 8.00/5.99 tff(17212,plain,
% 8.00/5.99 ((((~v90(constB127, bitIndex1)) <=> v90(constB126, bitIndex1)) | ((~v90(constB127, bitIndex2)) <=> v90(constB126, bitIndex2)) | ((~v90(constB127, bitIndex0)) <=> v90(constB126, bitIndex0))) | (~((~v90(constB127, bitIndex2)) <=> v90(constB126, bitIndex2)))),
% 8.00/5.99 inference(tautology,[status(thm)],[])).
% 8.00/5.99 tff(17213,plain,
% 8.00/5.99 (~((~v90(constB127, bitIndex2)) <=> v90(constB126, bitIndex2))),
% 8.00/5.99 inference(unit_resolution,[status(thm)],[17212, 17211])).
% 8.00/5.99 tff(17214,plain,
% 8.00/5.99 (nextState(constB125, constB126) <=> nextState(constB125, constB126)),
% 8.00/5.99 inference(rewrite,[status(thm)],[])).
% 8.00/5.99 tff(17215,axiom,(nextState(constB125, constB126)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_125')).
% 8.00/5.99 tff(17216,plain,
% 8.00/5.99 (nextState(constB125, constB126)),
% 8.00/5.99 inference(modus_ponens,[status(thm)],[17215, 17214])).
% 8.00/5.99 tff(17217,plain,
% 8.00/5.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB125, constB126)) | (~(((~v129(constB126, bitIndex2)) <=> v127(constB125, bitIndex2)) | ((~v129(constB126, bitIndex1)) <=> v127(constB125, bitIndex1)) | ((~v129(constB126, bitIndex0)) <=> v127(constB125, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB125, constB126)) | (~(((~v129(constB126, bitIndex2)) <=> v127(constB125, bitIndex2)) | ((~v129(constB126, bitIndex1)) <=> v127(constB125, bitIndex1)) | ((~v129(constB126, bitIndex0)) <=> v127(constB125, bitIndex0)))))),
% 8.00/5.99 inference(rewrite,[status(thm)],[])).
% 8.00/5.99 tff(17218,plain,
% 8.00/5.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB125, constB126)) | (~(((~v129(constB126, bitIndex2)) <=> v127(constB125, bitIndex2)) | ((~v129(constB126, bitIndex1)) <=> v127(constB125, bitIndex1)) | ((~v129(constB126, bitIndex0)) <=> v127(constB125, bitIndex0)))))),
% 8.00/5.99 inference(quant_inst,[status(thm)],[])).
% 8.00/5.99 tff(17219,plain,
% 8.00/5.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB125, constB126)) | (~(((~v129(constB126, bitIndex2)) <=> v127(constB125, bitIndex2)) | ((~v129(constB126, bitIndex1)) <=> v127(constB125, bitIndex1)) | ((~v129(constB126, bitIndex0)) <=> v127(constB125, bitIndex0))))),
% 8.00/5.99 inference(modus_ponens,[status(thm)],[17218, 17217])).
% 8.00/5.99 tff(17220,plain,
% 8.00/5.99 (~(((~v129(constB126, bitIndex2)) <=> v127(constB125, bitIndex2)) | ((~v129(constB126, bitIndex1)) <=> v127(constB125, bitIndex1)) | ((~v129(constB126, bitIndex0)) <=> v127(constB125, bitIndex0)))),
% 8.00/5.99 inference(unit_resolution,[status(thm)],[17219, 17216, 517])).
% 8.00/5.99 tff(17221,plain,
% 8.00/5.99 ((((~v129(constB126, bitIndex2)) <=> v127(constB125, bitIndex2)) | ((~v129(constB126, bitIndex1)) <=> v127(constB125, bitIndex1)) | ((~v129(constB126, bitIndex0)) <=> v127(constB125, bitIndex0))) | (~((~v129(constB126, bitIndex2)) <=> v127(constB125, bitIndex2)))),
% 8.00/5.99 inference(tautology,[status(thm)],[])).
% 8.00/5.99 tff(17222,plain,
% 8.00/5.99 (~((~v129(constB126, bitIndex2)) <=> v127(constB125, bitIndex2))),
% 8.00/5.99 inference(unit_resolution,[status(thm)],[17221, 17220])).
% 8.00/5.99 tff(17223,plain,
% 8.00/5.99 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB125) <=> v26(constB125))),
% 8.00/5.99 inference(quant_inst,[status(thm)],[])).
% 8.00/5.99 tff(17224,plain,
% 8.00/5.99 (v111(constB125) <=> v26(constB125)),
% 8.00/5.99 inference(unit_resolution,[status(thm)],[17223, 536])).
% 8.00/5.99 tff(17225,plain,
% 8.00/5.99 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB125))),
% 8.00/5.99 inference(quant_inst,[status(thm)],[])).
% 8.00/5.99 tff(17226,plain,
% 8.00/5.99 (~v26(constB125)),
% 8.00/5.99 inference(unit_resolution,[status(thm)],[17225, 548])).
% 8.00/5.99 tff(17227,plain,
% 8.00/5.99 ((~(v111(constB125) <=> v26(constB125))) | (~v111(constB125)) | v26(constB125)),
% 8.00/5.99 inference(tautology,[status(thm)],[])).
% 8.00/5.99 tff(17228,plain,
% 8.00/5.99 ((~(v111(constB125) <=> v26(constB125))) | (~v111(constB125))),
% 8.00/5.99 inference(unit_resolution,[status(thm)],[17227, 17226])).
% 8.00/5.99 tff(17229,plain,
% 8.00/5.99 (~v111(constB125)),
% 8.00/5.99 inference(unit_resolution,[status(thm)],[17228, 17224])).
% 8.00/5.99 tff(17230,plain,
% 8.00/5.99 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB125) | (~(((~v127(constB125, bitIndex2)) <=> v130(constB125, bitIndex2)) | ((~v127(constB125, bitIndex1)) <=> v130(constB125, bitIndex1)) | ((~v127(constB125, bitIndex0)) <=> v130(constB125, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB125) | (~(((~v127(constB125, bitIndex2)) <=> v130(constB125, bitIndex2)) | ((~v127(constB125, bitIndex1)) <=> v130(constB125, bitIndex1)) | ((~v127(constB125, bitIndex0)) <=> v130(constB125, bitIndex0)))))),
% 8.00/5.99 inference(rewrite,[status(thm)],[])).
% 8.00/5.99 tff(17231,plain,
% 8.00/5.99 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB125) | (~(((~v127(constB125, bitIndex2)) <=> v130(constB125, bitIndex2)) | ((~v127(constB125, bitIndex1)) <=> v130(constB125, bitIndex1)) | ((~v127(constB125, bitIndex0)) <=> v130(constB125, bitIndex0)))))),
% 8.00/5.99 inference(quant_inst,[status(thm)],[])).
% 8.00/5.99 tff(17232,plain,
% 8.00/5.99 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB125) | (~(((~v127(constB125, bitIndex2)) <=> v130(constB125, bitIndex2)) | ((~v127(constB125, bitIndex1)) <=> v130(constB125, bitIndex1)) | ((~v127(constB125, bitIndex0)) <=> v130(constB125, bitIndex0))))),
% 8.00/5.99 inference(modus_ponens,[status(thm)],[17231, 17230])).
% 8.00/5.99 tff(17233,plain,
% 8.00/5.99 (v111(constB125) | (~(((~v127(constB125, bitIndex2)) <=> v130(constB125, bitIndex2)) | ((~v127(constB125, bitIndex1)) <=> v130(constB125, bitIndex1)) | ((~v127(constB125, bitIndex0)) <=> v130(constB125, bitIndex0))))),
% 8.00/5.99 inference(unit_resolution,[status(thm)],[17232, 566])).
% 8.00/5.99 tff(17234,plain,
% 8.00/5.99 (~(((~v127(constB125, bitIndex2)) <=> v130(constB125, bitIndex2)) | ((~v127(constB125, bitIndex1)) <=> v130(constB125, bitIndex1)) | ((~v127(constB125, bitIndex0)) <=> v130(constB125, bitIndex0)))),
% 8.00/5.99 inference(unit_resolution,[status(thm)],[17233, 17229])).
% 8.00/5.99 tff(17235,plain,
% 8.00/5.99 ((((~v127(constB125, bitIndex2)) <=> v130(constB125, bitIndex2)) | ((~v127(constB125, bitIndex1)) <=> v130(constB125, bitIndex1)) | ((~v127(constB125, bitIndex0)) <=> v130(constB125, bitIndex0))) | (~((~v127(constB125, bitIndex2)) <=> v130(constB125, bitIndex2)))),
% 8.00/5.99 inference(tautology,[status(thm)],[])).
% 8.00/5.99 tff(17236,plain,
% 8.00/5.99 (~((~v127(constB125, bitIndex2)) <=> v130(constB125, bitIndex2))),
% 8.00/5.99 inference(unit_resolution,[status(thm)],[17235, 17234])).
% 8.00/5.99 tff(17237,plain,
% 8.00/5.99 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB125) <=> (~(v90(constB125, bitIndex0) | v90(constB125, bitIndex1) | v90(constB125, bitIndex2))))),
% 8.00/5.99 inference(quant_inst,[status(thm)],[])).
% 8.00/5.99 tff(17238,plain,
% 8.00/5.99 (v119(constB125) <=> (~(v90(constB125, bitIndex0) | v90(constB125, bitIndex1) | v90(constB125, bitIndex2)))),
% 8.00/5.99 inference(unit_resolution,[status(thm)],[17237, 1085])).
% 8.00/5.99 tff(17239,plain,
% 8.00/5.99 (nextState(constB124, constB125) <=> nextState(constB124, constB125)),
% 8.00/5.99 inference(rewrite,[status(thm)],[])).
% 8.00/5.99 tff(17240,axiom,(nextState(constB124, constB125)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_124')).
% 8.00/5.99 tff(17241,plain,
% 8.00/5.99 (nextState(constB124, constB125)),
% 8.00/5.99 inference(modus_ponens,[status(thm)],[17240, 17239])).
% 8.00/5.99 tff(17242,plain,
% 8.00/5.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB124, constB125)) | (v100(constB125) <=> (~((~v101(constB125)) | (~v110(constB125))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB124, constB125)) | (v100(constB125) <=> (~((~v101(constB125)) | (~v110(constB125))))))),
% 8.00/5.99 inference(rewrite,[status(thm)],[])).
% 8.00/5.99 tff(17243,plain,
% 8.00/5.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB124, constB125)) | (v100(constB125) <=> (~((~v101(constB125)) | (~v110(constB125))))))),
% 8.00/5.99 inference(quant_inst,[status(thm)],[])).
% 8.00/5.99 tff(17244,plain,
% 8.00/5.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB124, constB125)) | (v100(constB125) <=> (~((~v101(constB125)) | (~v110(constB125)))))),
% 8.00/5.99 inference(modus_ponens,[status(thm)],[17243, 17242])).
% 8.00/5.99 tff(17245,plain,
% 8.00/5.99 (v100(constB125) <=> (~((~v101(constB125)) | (~v110(constB125))))),
% 8.00/5.99 inference(unit_resolution,[status(thm)],[17244, 17241, 445])).
% 8.00/5.99 tff(17246,plain,
% 8.00/5.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB124, constB125)) | (v101(constB125) <=> (~((~v1(constB125)) | (~v102(constB125))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB124, constB125)) | (v101(constB125) <=> (~((~v1(constB125)) | (~v102(constB125))))))),
% 8.00/5.99 inference(rewrite,[status(thm)],[])).
% 8.00/5.99 tff(17247,plain,
% 8.00/5.99 (((~nextState(constB124, constB125)) | (v101(constB125) <=> (~((~v102(constB125)) | (~v1(constB125)))))) <=> ((~nextState(constB124, constB125)) | (v101(constB125) <=> (~((~v1(constB125)) | (~v102(constB125))))))),
% 8.00/5.99 inference(rewrite,[status(thm)],[])).
% 8.00/5.99 tff(17248,plain,
% 8.00/5.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB124, constB125)) | (v101(constB125) <=> (~((~v102(constB125)) | (~v1(constB125))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB124, constB125)) | (v101(constB125) <=> (~((~v1(constB125)) | (~v102(constB125)))))))),
% 8.00/5.99 inference(monotonicity,[status(thm)],[17247])).
% 8.00/5.99 tff(17249,plain,
% 8.00/5.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB124, constB125)) | (v101(constB125) <=> (~((~v102(constB125)) | (~v1(constB125))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB124, constB125)) | (v101(constB125) <=> (~((~v1(constB125)) | (~v102(constB125))))))),
% 8.00/5.99 inference(transitivity,[status(thm)],[17248, 17246])).
% 8.00/5.99 tff(17250,plain,
% 8.00/5.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB124, constB125)) | (v101(constB125) <=> (~((~v102(constB125)) | (~v1(constB125))))))),
% 8.00/5.99 inference(quant_inst,[status(thm)],[])).
% 8.00/5.99 tff(17251,plain,
% 8.00/5.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB124, constB125)) | (v101(constB125) <=> (~((~v1(constB125)) | (~v102(constB125)))))),
% 8.00/5.99 inference(modus_ponens,[status(thm)],[17250, 17249])).
% 8.00/5.99 tff(17252,plain,
% 8.00/5.99 (v101(constB125) <=> (~((~v1(constB125)) | (~v102(constB125))))),
% 8.00/5.99 inference(unit_resolution,[status(thm)],[17251, 17241, 465])).
% 8.00/5.99 tff(17253,plain,
% 8.00/5.99 ((~v1(constB125)) <=> (~v1(constB125))),
% 8.00/5.99 inference(rewrite,[status(thm)],[])).
% 8.00/5.99 tff(17254,axiom,(~v1(constB125)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_125')).
% 8.00/5.99 tff(17255,plain,
% 8.00/5.99 (~v1(constB125)),
% 8.00/5.99 inference(modus_ponens,[status(thm)],[17254, 17253])).
% 8.00/5.99 tff(17256,plain,
% 8.00/5.99 (((~v1(constB125)) | (~v102(constB125))) | v1(constB125)),
% 8.00/5.99 inference(tautology,[status(thm)],[])).
% 8.00/5.99 tff(17257,plain,
% 8.00/5.99 ((~v1(constB125)) | (~v102(constB125))),
% 8.00/5.99 inference(unit_resolution,[status(thm)],[17256, 17255])).
% 8.00/5.99 tff(17258,plain,
% 8.00/5.99 ((~(v101(constB125) <=> (~((~v1(constB125)) | (~v102(constB125)))))) | (~v101(constB125)) | (~((~v1(constB125)) | (~v102(constB125))))),
% 8.00/5.99 inference(tautology,[status(thm)],[])).
% 8.00/5.99 tff(17259,plain,
% 8.00/5.99 ((~(v101(constB125) <=> (~((~v1(constB125)) | (~v102(constB125)))))) | (~v101(constB125))),
% 8.00/5.99 inference(unit_resolution,[status(thm)],[17258, 17257])).
% 8.00/5.99 tff(17260,plain,
% 8.00/5.99 (~v101(constB125)),
% 8.00/5.99 inference(unit_resolution,[status(thm)],[17259, 17252])).
% 8.00/5.99 tff(17261,plain,
% 8.00/5.99 (((~v101(constB125)) | (~v110(constB125))) | v101(constB125)),
% 8.00/5.99 inference(tautology,[status(thm)],[])).
% 8.00/5.99 tff(17262,plain,
% 8.00/5.99 ((~v101(constB125)) | (~v110(constB125))),
% 8.00/5.99 inference(unit_resolution,[status(thm)],[17261, 17260])).
% 8.00/5.99 tff(17263,plain,
% 8.00/5.99 ((~(v100(constB125) <=> (~((~v101(constB125)) | (~v110(constB125)))))) | (~v100(constB125)) | (~((~v101(constB125)) | (~v110(constB125))))),
% 8.00/5.99 inference(tautology,[status(thm)],[])).
% 8.00/5.99 tff(17264,plain,
% 8.00/5.99 (~v100(constB125)),
% 8.00/5.99 inference(unit_resolution,[status(thm)],[17263, 17262, 17245])).
% 8.00/5.99 tff(17265,plain,
% 8.00/5.99 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB125) | (~nextState(constB124, constB125)) | (~(((~v90(constB125, bitIndex1)) <=> v90(constB124, bitIndex1)) | ((~v90(constB125, bitIndex2)) <=> v90(constB124, bitIndex2)) | ((~v90(constB125, bitIndex0)) <=> v90(constB124, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB125) | (~nextState(constB124, constB125)) | (~(((~v90(constB125, bitIndex1)) <=> v90(constB124, bitIndex1)) | ((~v90(constB125, bitIndex2)) <=> v90(constB124, bitIndex2)) | ((~v90(constB125, bitIndex0)) <=> v90(constB124, bitIndex0)))))),
% 8.00/6.00 inference(rewrite,[status(thm)],[])).
% 8.00/6.00 tff(17266,plain,
% 8.00/6.00 ((v100(constB125) | (~nextState(constB124, constB125)) | (~(((~v90(constB125, bitIndex2)) <=> v90(constB124, bitIndex2)) | ((~v90(constB125, bitIndex1)) <=> v90(constB124, bitIndex1)) | ((~v90(constB125, bitIndex0)) <=> v90(constB124, bitIndex0))))) <=> (v100(constB125) | (~nextState(constB124, constB125)) | (~(((~v90(constB125, bitIndex1)) <=> v90(constB124, bitIndex1)) | ((~v90(constB125, bitIndex2)) <=> v90(constB124, bitIndex2)) | ((~v90(constB125, bitIndex0)) <=> v90(constB124, bitIndex0)))))),
% 8.00/6.00 inference(rewrite,[status(thm)],[])).
% 8.00/6.00 tff(17267,plain,
% 8.00/6.00 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB125) | (~nextState(constB124, constB125)) | (~(((~v90(constB125, bitIndex2)) <=> v90(constB124, bitIndex2)) | ((~v90(constB125, bitIndex1)) <=> v90(constB124, bitIndex1)) | ((~v90(constB125, bitIndex0)) <=> v90(constB124, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB125) | (~nextState(constB124, constB125)) | (~(((~v90(constB125, bitIndex1)) <=> v90(constB124, bitIndex1)) | ((~v90(constB125, bitIndex2)) <=> v90(constB124, bitIndex2)) | ((~v90(constB125, bitIndex0)) <=> v90(constB124, bitIndex0))))))),
% 8.00/6.00 inference(monotonicity,[status(thm)],[17266])).
% 8.00/6.00 tff(17268,plain,
% 8.00/6.00 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB125) | (~nextState(constB124, constB125)) | (~(((~v90(constB125, bitIndex2)) <=> v90(constB124, bitIndex2)) | ((~v90(constB125, bitIndex1)) <=> v90(constB124, bitIndex1)) | ((~v90(constB125, bitIndex0)) <=> v90(constB124, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB125) | (~nextState(constB124, constB125)) | (~(((~v90(constB125, bitIndex1)) <=> v90(constB124, bitIndex1)) | ((~v90(constB125, bitIndex2)) <=> v90(constB124, bitIndex2)) | ((~v90(constB125, bitIndex0)) <=> v90(constB124, bitIndex0)))))),
% 8.00/6.00 inference(transitivity,[status(thm)],[17267, 17265])).
% 8.00/6.00 tff(17269,plain,
% 8.00/6.00 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB125) | (~nextState(constB124, constB125)) | (~(((~v90(constB125, bitIndex2)) <=> v90(constB124, bitIndex2)) | ((~v90(constB125, bitIndex1)) <=> v90(constB124, bitIndex1)) | ((~v90(constB125, bitIndex0)) <=> v90(constB124, bitIndex0)))))),
% 8.00/6.00 inference(quant_inst,[status(thm)],[])).
% 8.00/6.00 tff(17270,plain,
% 8.00/6.00 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB125) | (~nextState(constB124, constB125)) | (~(((~v90(constB125, bitIndex1)) <=> v90(constB124, bitIndex1)) | ((~v90(constB125, bitIndex2)) <=> v90(constB124, bitIndex2)) | ((~v90(constB125, bitIndex0)) <=> v90(constB124, bitIndex0))))),
% 8.00/6.00 inference(modus_ponens,[status(thm)],[17269, 17268])).
% 8.00/6.00 tff(17271,plain,
% 8.00/6.00 (v100(constB125) | (~(((~v90(constB125, bitIndex1)) <=> v90(constB124, bitIndex1)) | ((~v90(constB125, bitIndex2)) <=> v90(constB124, bitIndex2)) | ((~v90(constB125, bitIndex0)) <=> v90(constB124, bitIndex0))))),
% 8.00/6.00 inference(unit_resolution,[status(thm)],[17270, 17241, 494])).
% 8.00/6.00 tff(17272,plain,
% 8.00/6.00 (~(((~v90(constB125, bitIndex1)) <=> v90(constB124, bitIndex1)) | ((~v90(constB125, bitIndex2)) <=> v90(constB124, bitIndex2)) | ((~v90(constB125, bitIndex0)) <=> v90(constB124, bitIndex0)))),
% 8.00/6.00 inference(unit_resolution,[status(thm)],[17271, 17264])).
% 8.00/6.00 tff(17273,plain,
% 8.00/6.00 ((((~v90(constB125, bitIndex1)) <=> v90(constB124, bitIndex1)) | ((~v90(constB125, bitIndex2)) <=> v90(constB124, bitIndex2)) | ((~v90(constB125, bitIndex0)) <=> v90(constB124, bitIndex0))) | (~((~v90(constB125, bitIndex2)) <=> v90(constB124, bitIndex2)))),
% 8.00/6.00 inference(tautology,[status(thm)],[])).
% 8.00/6.00 tff(17274,plain,
% 8.00/6.00 (~((~v90(constB125, bitIndex2)) <=> v90(constB124, bitIndex2))),
% 8.00/6.00 inference(unit_resolution,[status(thm)],[17273, 17272])).
% 8.00/6.00 tff(17275,plain,
% 8.00/6.00 (nextState(constB123, constB124) <=> nextState(constB123, constB124)),
% 8.00/6.00 inference(rewrite,[status(thm)],[])).
% 8.00/6.00 tff(17276,axiom,(nextState(constB123, constB124)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_123')).
% 8.00/6.00 tff(17277,plain,
% 8.00/6.00 (nextState(constB123, constB124)),
% 8.00/6.00 inference(modus_ponens,[status(thm)],[17276, 17275])).
% 8.00/6.00 tff(17278,plain,
% 8.00/6.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB123, constB124)) | (~(((~v129(constB124, bitIndex2)) <=> v127(constB123, bitIndex2)) | ((~v129(constB124, bitIndex1)) <=> v127(constB123, bitIndex1)) | ((~v129(constB124, bitIndex0)) <=> v127(constB123, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB123, constB124)) | (~(((~v129(constB124, bitIndex2)) <=> v127(constB123, bitIndex2)) | ((~v129(constB124, bitIndex1)) <=> v127(constB123, bitIndex1)) | ((~v129(constB124, bitIndex0)) <=> v127(constB123, bitIndex0)))))),
% 8.00/6.00 inference(rewrite,[status(thm)],[])).
% 8.00/6.00 tff(17279,plain,
% 8.00/6.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB123, constB124)) | (~(((~v129(constB124, bitIndex2)) <=> v127(constB123, bitIndex2)) | ((~v129(constB124, bitIndex1)) <=> v127(constB123, bitIndex1)) | ((~v129(constB124, bitIndex0)) <=> v127(constB123, bitIndex0)))))),
% 8.00/6.00 inference(quant_inst,[status(thm)],[])).
% 8.00/6.00 tff(17280,plain,
% 8.00/6.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB123, constB124)) | (~(((~v129(constB124, bitIndex2)) <=> v127(constB123, bitIndex2)) | ((~v129(constB124, bitIndex1)) <=> v127(constB123, bitIndex1)) | ((~v129(constB124, bitIndex0)) <=> v127(constB123, bitIndex0))))),
% 8.00/6.00 inference(modus_ponens,[status(thm)],[17279, 17278])).
% 8.00/6.00 tff(17281,plain,
% 8.00/6.00 (~(((~v129(constB124, bitIndex2)) <=> v127(constB123, bitIndex2)) | ((~v129(constB124, bitIndex1)) <=> v127(constB123, bitIndex1)) | ((~v129(constB124, bitIndex0)) <=> v127(constB123, bitIndex0)))),
% 8.00/6.00 inference(unit_resolution,[status(thm)],[17280, 17277, 517])).
% 8.00/6.00 tff(17282,plain,
% 8.00/6.00 ((((~v129(constB124, bitIndex2)) <=> v127(constB123, bitIndex2)) | ((~v129(constB124, bitIndex1)) <=> v127(constB123, bitIndex1)) | ((~v129(constB124, bitIndex0)) <=> v127(constB123, bitIndex0))) | (~((~v129(constB124, bitIndex2)) <=> v127(constB123, bitIndex2)))),
% 8.00/6.00 inference(tautology,[status(thm)],[])).
% 8.00/6.00 tff(17283,plain,
% 8.00/6.00 (~((~v129(constB124, bitIndex2)) <=> v127(constB123, bitIndex2))),
% 8.00/6.00 inference(unit_resolution,[status(thm)],[17282, 17281])).
% 8.00/6.00 tff(17284,plain,
% 8.00/6.00 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB123) <=> v26(constB123))),
% 8.00/6.00 inference(quant_inst,[status(thm)],[])).
% 8.00/6.00 tff(17285,plain,
% 8.00/6.00 (v111(constB123) <=> v26(constB123)),
% 8.00/6.00 inference(unit_resolution,[status(thm)],[17284, 536])).
% 8.00/6.00 tff(17286,plain,
% 8.00/6.00 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB123))),
% 8.00/6.00 inference(quant_inst,[status(thm)],[])).
% 8.00/6.00 tff(17287,plain,
% 8.00/6.00 (~v26(constB123)),
% 8.00/6.00 inference(unit_resolution,[status(thm)],[17286, 548])).
% 8.00/6.00 tff(17288,plain,
% 8.00/6.00 ((~(v111(constB123) <=> v26(constB123))) | (~v111(constB123)) | v26(constB123)),
% 8.00/6.00 inference(tautology,[status(thm)],[])).
% 8.00/6.00 tff(17289,plain,
% 8.00/6.00 ((~(v111(constB123) <=> v26(constB123))) | (~v111(constB123))),
% 8.00/6.00 inference(unit_resolution,[status(thm)],[17288, 17287])).
% 8.00/6.00 tff(17290,plain,
% 8.00/6.00 (~v111(constB123)),
% 8.00/6.00 inference(unit_resolution,[status(thm)],[17289, 17285])).
% 8.00/6.00 tff(17291,plain,
% 8.00/6.00 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB123) | (~(((~v127(constB123, bitIndex2)) <=> v130(constB123, bitIndex2)) | ((~v127(constB123, bitIndex1)) <=> v130(constB123, bitIndex1)) | ((~v127(constB123, bitIndex0)) <=> v130(constB123, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB123) | (~(((~v127(constB123, bitIndex2)) <=> v130(constB123, bitIndex2)) | ((~v127(constB123, bitIndex1)) <=> v130(constB123, bitIndex1)) | ((~v127(constB123, bitIndex0)) <=> v130(constB123, bitIndex0)))))),
% 8.00/6.00 inference(rewrite,[status(thm)],[])).
% 8.00/6.00 tff(17292,plain,
% 8.00/6.00 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB123) | (~(((~v127(constB123, bitIndex2)) <=> v130(constB123, bitIndex2)) | ((~v127(constB123, bitIndex1)) <=> v130(constB123, bitIndex1)) | ((~v127(constB123, bitIndex0)) <=> v130(constB123, bitIndex0)))))),
% 8.00/6.00 inference(quant_inst,[status(thm)],[])).
% 8.00/6.00 tff(17293,plain,
% 8.00/6.00 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB123) | (~(((~v127(constB123, bitIndex2)) <=> v130(constB123, bitIndex2)) | ((~v127(constB123, bitIndex1)) <=> v130(constB123, bitIndex1)) | ((~v127(constB123, bitIndex0)) <=> v130(constB123, bitIndex0))))),
% 8.00/6.00 inference(modus_ponens,[status(thm)],[17292, 17291])).
% 8.00/6.00 tff(17294,plain,
% 8.00/6.00 (v111(constB123) | (~(((~v127(constB123, bitIndex2)) <=> v130(constB123, bitIndex2)) | ((~v127(constB123, bitIndex1)) <=> v130(constB123, bitIndex1)) | ((~v127(constB123, bitIndex0)) <=> v130(constB123, bitIndex0))))),
% 8.00/6.00 inference(unit_resolution,[status(thm)],[17293, 566])).
% 8.00/6.00 tff(17295,plain,
% 8.00/6.00 (~(((~v127(constB123, bitIndex2)) <=> v130(constB123, bitIndex2)) | ((~v127(constB123, bitIndex1)) <=> v130(constB123, bitIndex1)) | ((~v127(constB123, bitIndex0)) <=> v130(constB123, bitIndex0)))),
% 8.00/6.00 inference(unit_resolution,[status(thm)],[17294, 17290])).
% 8.00/6.00 tff(17296,plain,
% 8.00/6.00 ((((~v127(constB123, bitIndex2)) <=> v130(constB123, bitIndex2)) | ((~v127(constB123, bitIndex1)) <=> v130(constB123, bitIndex1)) | ((~v127(constB123, bitIndex0)) <=> v130(constB123, bitIndex0))) | (~((~v127(constB123, bitIndex2)) <=> v130(constB123, bitIndex2)))),
% 8.00/6.00 inference(tautology,[status(thm)],[])).
% 8.00/6.00 tff(17297,plain,
% 8.00/6.00 (~((~v127(constB123, bitIndex2)) <=> v130(constB123, bitIndex2))),
% 8.00/6.00 inference(unit_resolution,[status(thm)],[17296, 17295])).
% 8.00/6.00 tff(17298,plain,
% 8.00/6.00 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB123) <=> (~(v90(constB123, bitIndex1) | v90(constB123, bitIndex0) | (~v90(constB123, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB123) <=> (~(v90(constB123, bitIndex1) | v90(constB123, bitIndex0) | (~v90(constB123, bitIndex2))))))),
% 8.00/6.00 inference(rewrite,[status(thm)],[])).
% 8.00/6.00 tff(17299,plain,
% 8.00/6.00 ((v123(constB123) <=> (~(v90(constB123, bitIndex0) | v90(constB123, bitIndex1) | (~v90(constB123, bitIndex2))))) <=> (v123(constB123) <=> (~(v90(constB123, bitIndex1) | v90(constB123, bitIndex0) | (~v90(constB123, bitIndex2)))))),
% 8.00/6.00 inference(rewrite,[status(thm)],[])).
% 8.00/6.00 tff(17300,plain,
% 8.00/6.00 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB123) <=> (~(v90(constB123, bitIndex0) | v90(constB123, bitIndex1) | (~v90(constB123, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB123) <=> (~(v90(constB123, bitIndex1) | v90(constB123, bitIndex0) | (~v90(constB123, bitIndex2))))))),
% 8.00/6.00 inference(monotonicity,[status(thm)],[17299])).
% 8.00/6.00 tff(17301,plain,
% 8.00/6.00 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB123) <=> (~(v90(constB123, bitIndex0) | v90(constB123, bitIndex1) | (~v90(constB123, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB123) <=> (~(v90(constB123, bitIndex1) | v90(constB123, bitIndex0) | (~v90(constB123, bitIndex2))))))),
% 8.00/6.00 inference(transitivity,[status(thm)],[17300, 17298])).
% 8.00/6.00 tff(17302,plain,
% 8.00/6.00 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB123) <=> (~(v90(constB123, bitIndex0) | v90(constB123, bitIndex1) | (~v90(constB123, bitIndex2)))))),
% 8.00/6.00 inference(quant_inst,[status(thm)],[])).
% 8.00/6.00 tff(17303,plain,
% 8.00/6.00 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB123) <=> (~(v90(constB123, bitIndex1) | v90(constB123, bitIndex0) | (~v90(constB123, bitIndex2)))))),
% 8.00/6.00 inference(modus_ponens,[status(thm)],[17302, 17301])).
% 8.00/6.00 tff(17304,plain,
% 8.00/6.00 (v123(constB123) <=> (~(v90(constB123, bitIndex1) | v90(constB123, bitIndex0) | (~v90(constB123, bitIndex2))))),
% 8.00/6.00 inference(unit_resolution,[status(thm)],[17303, 800])).
% 8.00/6.00 tff(17305,plain,
% 8.00/6.00 (nextState(constB122, constB123) <=> nextState(constB122, constB123)),
% 8.00/6.00 inference(rewrite,[status(thm)],[])).
% 8.00/6.00 tff(17306,axiom,(nextState(constB122, constB123)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_122')).
% 8.00/6.00 tff(17307,plain,
% 8.00/6.00 (nextState(constB122, constB123)),
% 8.00/6.00 inference(modus_ponens,[status(thm)],[17306, 17305])).
% 8.00/6.00 tff(17308,plain,
% 8.00/6.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB122, constB123)) | (v100(constB123) <=> (~((~v101(constB123)) | (~v110(constB123))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB122, constB123)) | (v100(constB123) <=> (~((~v101(constB123)) | (~v110(constB123))))))),
% 8.00/6.00 inference(rewrite,[status(thm)],[])).
% 8.00/6.00 tff(17309,plain,
% 8.00/6.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB122, constB123)) | (v100(constB123) <=> (~((~v101(constB123)) | (~v110(constB123))))))),
% 8.00/6.00 inference(quant_inst,[status(thm)],[])).
% 8.00/6.00 tff(17310,plain,
% 8.00/6.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB122, constB123)) | (v100(constB123) <=> (~((~v101(constB123)) | (~v110(constB123)))))),
% 8.00/6.00 inference(modus_ponens,[status(thm)],[17309, 17308])).
% 8.00/6.00 tff(17311,plain,
% 8.00/6.00 (v100(constB123) <=> (~((~v101(constB123)) | (~v110(constB123))))),
% 8.00/6.00 inference(unit_resolution,[status(thm)],[17310, 17307, 445])).
% 8.00/6.00 tff(17312,plain,
% 8.00/6.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB122, constB123)) | (v101(constB123) <=> (~((~v1(constB123)) | (~v102(constB123))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB122, constB123)) | (v101(constB123) <=> (~((~v1(constB123)) | (~v102(constB123))))))),
% 8.00/6.00 inference(rewrite,[status(thm)],[])).
% 8.00/6.00 tff(17313,plain,
% 8.00/6.00 (((~nextState(constB122, constB123)) | (v101(constB123) <=> (~((~v102(constB123)) | (~v1(constB123)))))) <=> ((~nextState(constB122, constB123)) | (v101(constB123) <=> (~((~v1(constB123)) | (~v102(constB123))))))),
% 8.00/6.00 inference(rewrite,[status(thm)],[])).
% 8.00/6.00 tff(17314,plain,
% 8.00/6.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB122, constB123)) | (v101(constB123) <=> (~((~v102(constB123)) | (~v1(constB123))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB122, constB123)) | (v101(constB123) <=> (~((~v1(constB123)) | (~v102(constB123)))))))),
% 8.00/6.00 inference(monotonicity,[status(thm)],[17313])).
% 8.00/6.00 tff(17315,plain,
% 8.00/6.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB122, constB123)) | (v101(constB123) <=> (~((~v102(constB123)) | (~v1(constB123))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB122, constB123)) | (v101(constB123) <=> (~((~v1(constB123)) | (~v102(constB123))))))),
% 8.00/6.00 inference(transitivity,[status(thm)],[17314, 17312])).
% 8.00/6.00 tff(17316,plain,
% 8.00/6.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB122, constB123)) | (v101(constB123) <=> (~((~v102(constB123)) | (~v1(constB123))))))),
% 8.00/6.00 inference(quant_inst,[status(thm)],[])).
% 8.00/6.00 tff(17317,plain,
% 8.00/6.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB122, constB123)) | (v101(constB123) <=> (~((~v1(constB123)) | (~v102(constB123)))))),
% 8.00/6.00 inference(modus_ponens,[status(thm)],[17316, 17315])).
% 8.00/6.00 tff(17318,plain,
% 8.00/6.00 (v101(constB123) <=> (~((~v1(constB123)) | (~v102(constB123))))),
% 8.00/6.00 inference(unit_resolution,[status(thm)],[17317, 17307, 465])).
% 8.00/6.00 tff(17319,plain,
% 8.00/6.00 ((~v1(constB123)) <=> (~v1(constB123))),
% 8.00/6.00 inference(rewrite,[status(thm)],[])).
% 8.00/6.00 tff(17320,axiom,(~v1(constB123)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_123')).
% 8.00/6.00 tff(17321,plain,
% 8.00/6.00 (~v1(constB123)),
% 8.00/6.00 inference(modus_ponens,[status(thm)],[17320, 17319])).
% 8.00/6.00 tff(17322,plain,
% 8.00/6.00 (((~v1(constB123)) | (~v102(constB123))) | v1(constB123)),
% 8.00/6.00 inference(tautology,[status(thm)],[])).
% 8.00/6.00 tff(17323,plain,
% 8.00/6.00 ((~v1(constB123)) | (~v102(constB123))),
% 8.00/6.00 inference(unit_resolution,[status(thm)],[17322, 17321])).
% 8.00/6.00 tff(17324,plain,
% 8.00/6.00 ((~(v101(constB123) <=> (~((~v1(constB123)) | (~v102(constB123)))))) | (~v101(constB123)) | (~((~v1(constB123)) | (~v102(constB123))))),
% 8.00/6.00 inference(tautology,[status(thm)],[])).
% 8.00/6.00 tff(17325,plain,
% 8.00/6.00 ((~(v101(constB123) <=> (~((~v1(constB123)) | (~v102(constB123)))))) | (~v101(constB123))),
% 8.00/6.00 inference(unit_resolution,[status(thm)],[17324, 17323])).
% 8.00/6.00 tff(17326,plain,
% 8.00/6.00 (~v101(constB123)),
% 8.00/6.00 inference(unit_resolution,[status(thm)],[17325, 17318])).
% 8.00/6.00 tff(17327,plain,
% 8.00/6.00 (((~v101(constB123)) | (~v110(constB123))) | v101(constB123)),
% 8.00/6.00 inference(tautology,[status(thm)],[])).
% 8.00/6.00 tff(17328,plain,
% 8.00/6.00 ((~v101(constB123)) | (~v110(constB123))),
% 8.00/6.00 inference(unit_resolution,[status(thm)],[17327, 17326])).
% 8.00/6.00 tff(17329,plain,
% 8.00/6.00 ((~(v100(constB123) <=> (~((~v101(constB123)) | (~v110(constB123)))))) | (~v100(constB123)) | (~((~v101(constB123)) | (~v110(constB123))))),
% 8.00/6.00 inference(tautology,[status(thm)],[])).
% 8.00/6.00 tff(17330,plain,
% 8.00/6.00 (~v100(constB123)),
% 8.00/6.00 inference(unit_resolution,[status(thm)],[17329, 17328, 17311])).
% 8.00/6.00 tff(17331,plain,
% 8.00/6.00 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB123) | (~nextState(constB122, constB123)) | (~(((~v90(constB123, bitIndex1)) <=> v90(constB122, bitIndex1)) | ((~v90(constB123, bitIndex2)) <=> v90(constB122, bitIndex2)) | ((~v90(constB123, bitIndex0)) <=> v90(constB122, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB123) | (~nextState(constB122, constB123)) | (~(((~v90(constB123, bitIndex1)) <=> v90(constB122, bitIndex1)) | ((~v90(constB123, bitIndex2)) <=> v90(constB122, bitIndex2)) | ((~v90(constB123, bitIndex0)) <=> v90(constB122, bitIndex0)))))),
% 8.00/6.00 inference(rewrite,[status(thm)],[])).
% 8.00/6.00 tff(17332,plain,
% 8.00/6.00 ((v100(constB123) | (~nextState(constB122, constB123)) | (~(((~v90(constB123, bitIndex2)) <=> v90(constB122, bitIndex2)) | ((~v90(constB123, bitIndex1)) <=> v90(constB122, bitIndex1)) | ((~v90(constB123, bitIndex0)) <=> v90(constB122, bitIndex0))))) <=> (v100(constB123) | (~nextState(constB122, constB123)) | (~(((~v90(constB123, bitIndex1)) <=> v90(constB122, bitIndex1)) | ((~v90(constB123, bitIndex2)) <=> v90(constB122, bitIndex2)) | ((~v90(constB123, bitIndex0)) <=> v90(constB122, bitIndex0)))))),
% 8.00/6.00 inference(rewrite,[status(thm)],[])).
% 8.00/6.00 tff(17333,plain,
% 8.00/6.00 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB123) | (~nextState(constB122, constB123)) | (~(((~v90(constB123, bitIndex2)) <=> v90(constB122, bitIndex2)) | ((~v90(constB123, bitIndex1)) <=> v90(constB122, bitIndex1)) | ((~v90(constB123, bitIndex0)) <=> v90(constB122, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB123) | (~nextState(constB122, constB123)) | (~(((~v90(constB123, bitIndex1)) <=> v90(constB122, bitIndex1)) | ((~v90(constB123, bitIndex2)) <=> v90(constB122, bitIndex2)) | ((~v90(constB123, bitIndex0)) <=> v90(constB122, bitIndex0))))))),
% 8.00/6.00 inference(monotonicity,[status(thm)],[17332])).
% 8.00/6.00 tff(17334,plain,
% 8.00/6.00 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB123) | (~nextState(constB122, constB123)) | (~(((~v90(constB123, bitIndex2)) <=> v90(constB122, bitIndex2)) | ((~v90(constB123, bitIndex1)) <=> v90(constB122, bitIndex1)) | ((~v90(constB123, bitIndex0)) <=> v90(constB122, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB123) | (~nextState(constB122, constB123)) | (~(((~v90(constB123, bitIndex1)) <=> v90(constB122, bitIndex1)) | ((~v90(constB123, bitIndex2)) <=> v90(constB122, bitIndex2)) | ((~v90(constB123, bitIndex0)) <=> v90(constB122, bitIndex0)))))),
% 8.00/6.00 inference(transitivity,[status(thm)],[17333, 17331])).
% 8.00/6.00 tff(17335,plain,
% 8.00/6.00 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB123) | (~nextState(constB122, constB123)) | (~(((~v90(constB123, bitIndex2)) <=> v90(constB122, bitIndex2)) | ((~v90(constB123, bitIndex1)) <=> v90(constB122, bitIndex1)) | ((~v90(constB123, bitIndex0)) <=> v90(constB122, bitIndex0)))))),
% 8.00/6.00 inference(quant_inst,[status(thm)],[])).
% 8.00/6.00 tff(17336,plain,
% 8.00/6.00 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB123) | (~nextState(constB122, constB123)) | (~(((~v90(constB123, bitIndex1)) <=> v90(constB122, bitIndex1)) | ((~v90(constB123, bitIndex2)) <=> v90(constB122, bitIndex2)) | ((~v90(constB123, bitIndex0)) <=> v90(constB122, bitIndex0))))),
% 8.00/6.00 inference(modus_ponens,[status(thm)],[17335, 17334])).
% 8.00/6.00 tff(17337,plain,
% 8.00/6.00 (v100(constB123) | (~(((~v90(constB123, bitIndex1)) <=> v90(constB122, bitIndex1)) | ((~v90(constB123, bitIndex2)) <=> v90(constB122, bitIndex2)) | ((~v90(constB123, bitIndex0)) <=> v90(constB122, bitIndex0))))),
% 8.00/6.00 inference(unit_resolution,[status(thm)],[17336, 17307, 494])).
% 8.00/6.00 tff(17338,plain,
% 8.00/6.00 (~(((~v90(constB123, bitIndex1)) <=> v90(constB122, bitIndex1)) | ((~v90(constB123, bitIndex2)) <=> v90(constB122, bitIndex2)) | ((~v90(constB123, bitIndex0)) <=> v90(constB122, bitIndex0)))),
% 8.00/6.00 inference(unit_resolution,[status(thm)],[17337, 17330])).
% 8.00/6.00 tff(17339,plain,
% 8.00/6.00 ((((~v90(constB123, bitIndex1)) <=> v90(constB122, bitIndex1)) | ((~v90(constB123, bitIndex2)) <=> v90(constB122, bitIndex2)) | ((~v90(constB123, bitIndex0)) <=> v90(constB122, bitIndex0))) | (~((~v90(constB123, bitIndex2)) <=> v90(constB122, bitIndex2)))),
% 8.00/6.00 inference(tautology,[status(thm)],[])).
% 8.00/6.00 tff(17340,plain,
% 8.00/6.00 (~((~v90(constB123, bitIndex2)) <=> v90(constB122, bitIndex2))),
% 8.00/6.00 inference(unit_resolution,[status(thm)],[17339, 17338])).
% 8.00/6.00 tff(17341,plain,
% 8.00/6.00 (nextState(constB121, constB122) <=> nextState(constB121, constB122)),
% 8.00/6.00 inference(rewrite,[status(thm)],[])).
% 8.00/6.00 tff(17342,axiom,(nextState(constB121, constB122)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_121')).
% 8.00/6.00 tff(17343,plain,
% 8.00/6.00 (nextState(constB121, constB122)),
% 8.00/6.00 inference(modus_ponens,[status(thm)],[17342, 17341])).
% 8.09/6.01 tff(17344,plain,
% 8.09/6.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB121, constB122)) | (~(((~v129(constB122, bitIndex2)) <=> v127(constB121, bitIndex2)) | ((~v129(constB122, bitIndex1)) <=> v127(constB121, bitIndex1)) | ((~v129(constB122, bitIndex0)) <=> v127(constB121, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB121, constB122)) | (~(((~v129(constB122, bitIndex2)) <=> v127(constB121, bitIndex2)) | ((~v129(constB122, bitIndex1)) <=> v127(constB121, bitIndex1)) | ((~v129(constB122, bitIndex0)) <=> v127(constB121, bitIndex0)))))),
% 8.09/6.01 inference(rewrite,[status(thm)],[])).
% 8.09/6.01 tff(17345,plain,
% 8.09/6.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB121, constB122)) | (~(((~v129(constB122, bitIndex2)) <=> v127(constB121, bitIndex2)) | ((~v129(constB122, bitIndex1)) <=> v127(constB121, bitIndex1)) | ((~v129(constB122, bitIndex0)) <=> v127(constB121, bitIndex0)))))),
% 8.09/6.01 inference(quant_inst,[status(thm)],[])).
% 8.09/6.01 tff(17346,plain,
% 8.09/6.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB121, constB122)) | (~(((~v129(constB122, bitIndex2)) <=> v127(constB121, bitIndex2)) | ((~v129(constB122, bitIndex1)) <=> v127(constB121, bitIndex1)) | ((~v129(constB122, bitIndex0)) <=> v127(constB121, bitIndex0))))),
% 8.09/6.01 inference(modus_ponens,[status(thm)],[17345, 17344])).
% 8.09/6.01 tff(17347,plain,
% 8.09/6.01 (~(((~v129(constB122, bitIndex2)) <=> v127(constB121, bitIndex2)) | ((~v129(constB122, bitIndex1)) <=> v127(constB121, bitIndex1)) | ((~v129(constB122, bitIndex0)) <=> v127(constB121, bitIndex0)))),
% 8.09/6.01 inference(unit_resolution,[status(thm)],[17346, 17343, 517])).
% 8.09/6.01 tff(17348,plain,
% 8.09/6.01 ((((~v129(constB122, bitIndex2)) <=> v127(constB121, bitIndex2)) | ((~v129(constB122, bitIndex1)) <=> v127(constB121, bitIndex1)) | ((~v129(constB122, bitIndex0)) <=> v127(constB121, bitIndex0))) | (~((~v129(constB122, bitIndex2)) <=> v127(constB121, bitIndex2)))),
% 8.09/6.01 inference(tautology,[status(thm)],[])).
% 8.09/6.01 tff(17349,plain,
% 8.09/6.01 (~((~v129(constB122, bitIndex2)) <=> v127(constB121, bitIndex2))),
% 8.09/6.01 inference(unit_resolution,[status(thm)],[17348, 17347])).
% 8.09/6.01 tff(17350,plain,
% 8.09/6.01 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB121) <=> v26(constB121))),
% 8.09/6.01 inference(quant_inst,[status(thm)],[])).
% 8.09/6.01 tff(17351,plain,
% 8.09/6.01 (v111(constB121) <=> v26(constB121)),
% 8.09/6.01 inference(unit_resolution,[status(thm)],[17350, 536])).
% 8.09/6.01 tff(17352,plain,
% 8.09/6.01 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB121))),
% 8.09/6.01 inference(quant_inst,[status(thm)],[])).
% 8.09/6.01 tff(17353,plain,
% 8.09/6.01 (~v26(constB121)),
% 8.09/6.01 inference(unit_resolution,[status(thm)],[17352, 548])).
% 8.09/6.01 tff(17354,plain,
% 8.09/6.01 ((~(v111(constB121) <=> v26(constB121))) | (~v111(constB121)) | v26(constB121)),
% 8.09/6.01 inference(tautology,[status(thm)],[])).
% 8.09/6.01 tff(17355,plain,
% 8.09/6.01 ((~(v111(constB121) <=> v26(constB121))) | (~v111(constB121))),
% 8.09/6.01 inference(unit_resolution,[status(thm)],[17354, 17353])).
% 8.09/6.01 tff(17356,plain,
% 8.09/6.01 (~v111(constB121)),
% 8.09/6.01 inference(unit_resolution,[status(thm)],[17355, 17351])).
% 8.09/6.01 tff(17357,plain,
% 8.09/6.01 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB121) | (~(((~v127(constB121, bitIndex2)) <=> v130(constB121, bitIndex2)) | ((~v127(constB121, bitIndex1)) <=> v130(constB121, bitIndex1)) | ((~v127(constB121, bitIndex0)) <=> v130(constB121, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB121) | (~(((~v127(constB121, bitIndex2)) <=> v130(constB121, bitIndex2)) | ((~v127(constB121, bitIndex1)) <=> v130(constB121, bitIndex1)) | ((~v127(constB121, bitIndex0)) <=> v130(constB121, bitIndex0)))))),
% 8.09/6.01 inference(rewrite,[status(thm)],[])).
% 8.09/6.01 tff(17358,plain,
% 8.09/6.01 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB121) | (~(((~v127(constB121, bitIndex2)) <=> v130(constB121, bitIndex2)) | ((~v127(constB121, bitIndex1)) <=> v130(constB121, bitIndex1)) | ((~v127(constB121, bitIndex0)) <=> v130(constB121, bitIndex0)))))),
% 8.09/6.01 inference(quant_inst,[status(thm)],[])).
% 8.09/6.01 tff(17359,plain,
% 8.09/6.01 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB121) | (~(((~v127(constB121, bitIndex2)) <=> v130(constB121, bitIndex2)) | ((~v127(constB121, bitIndex1)) <=> v130(constB121, bitIndex1)) | ((~v127(constB121, bitIndex0)) <=> v130(constB121, bitIndex0))))),
% 8.09/6.01 inference(modus_ponens,[status(thm)],[17358, 17357])).
% 8.09/6.01 tff(17360,plain,
% 8.09/6.01 (v111(constB121) | (~(((~v127(constB121, bitIndex2)) <=> v130(constB121, bitIndex2)) | ((~v127(constB121, bitIndex1)) <=> v130(constB121, bitIndex1)) | ((~v127(constB121, bitIndex0)) <=> v130(constB121, bitIndex0))))),
% 8.09/6.01 inference(unit_resolution,[status(thm)],[17359, 566])).
% 8.09/6.01 tff(17361,plain,
% 8.09/6.01 (~(((~v127(constB121, bitIndex2)) <=> v130(constB121, bitIndex2)) | ((~v127(constB121, bitIndex1)) <=> v130(constB121, bitIndex1)) | ((~v127(constB121, bitIndex0)) <=> v130(constB121, bitIndex0)))),
% 8.09/6.01 inference(unit_resolution,[status(thm)],[17360, 17356])).
% 8.09/6.01 tff(17362,plain,
% 8.09/6.01 ((((~v127(constB121, bitIndex2)) <=> v130(constB121, bitIndex2)) | ((~v127(constB121, bitIndex1)) <=> v130(constB121, bitIndex1)) | ((~v127(constB121, bitIndex0)) <=> v130(constB121, bitIndex0))) | (~((~v127(constB121, bitIndex2)) <=> v130(constB121, bitIndex2)))),
% 8.09/6.01 inference(tautology,[status(thm)],[])).
% 8.09/6.01 tff(17363,plain,
% 8.09/6.01 (~((~v127(constB121, bitIndex2)) <=> v130(constB121, bitIndex2))),
% 8.09/6.01 inference(unit_resolution,[status(thm)],[17362, 17361])).
% 8.09/6.01 tff(17364,plain,
% 8.09/6.01 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB121) <=> (~(v90(constB121, bitIndex2) | (~v90(constB121, bitIndex1)) | (~v90(constB121, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB121) <=> (~(v90(constB121, bitIndex2) | (~v90(constB121, bitIndex1)) | (~v90(constB121, bitIndex0))))))),
% 8.09/6.01 inference(rewrite,[status(thm)],[])).
% 8.09/6.01 tff(17365,plain,
% 8.09/6.01 ((v122(constB121) <=> (~(v90(constB121, bitIndex2) | (~v90(constB121, bitIndex0)) | (~v90(constB121, bitIndex1))))) <=> (v122(constB121) <=> (~(v90(constB121, bitIndex2) | (~v90(constB121, bitIndex1)) | (~v90(constB121, bitIndex0)))))),
% 8.09/6.01 inference(rewrite,[status(thm)],[])).
% 8.09/6.01 tff(17366,plain,
% 8.09/6.01 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB121) <=> (~(v90(constB121, bitIndex2) | (~v90(constB121, bitIndex0)) | (~v90(constB121, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB121) <=> (~(v90(constB121, bitIndex2) | (~v90(constB121, bitIndex1)) | (~v90(constB121, bitIndex0))))))),
% 8.09/6.01 inference(monotonicity,[status(thm)],[17365])).
% 8.09/6.01 tff(17367,plain,
% 8.09/6.01 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB121) <=> (~(v90(constB121, bitIndex2) | (~v90(constB121, bitIndex0)) | (~v90(constB121, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB121) <=> (~(v90(constB121, bitIndex2) | (~v90(constB121, bitIndex1)) | (~v90(constB121, bitIndex0))))))),
% 8.09/6.01 inference(transitivity,[status(thm)],[17366, 17364])).
% 8.09/6.01 tff(17368,plain,
% 8.09/6.01 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB121) <=> (~(v90(constB121, bitIndex2) | (~v90(constB121, bitIndex0)) | (~v90(constB121, bitIndex1)))))),
% 8.09/6.01 inference(quant_inst,[status(thm)],[])).
% 8.09/6.01 tff(17369,plain,
% 8.09/6.01 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB121) <=> (~(v90(constB121, bitIndex2) | (~v90(constB121, bitIndex1)) | (~v90(constB121, bitIndex0)))))),
% 8.09/6.01 inference(modus_ponens,[status(thm)],[17368, 17367])).
% 8.09/6.01 tff(17370,plain,
% 8.09/6.01 (v122(constB121) <=> (~(v90(constB121, bitIndex2) | (~v90(constB121, bitIndex1)) | (~v90(constB121, bitIndex0))))),
% 8.09/6.01 inference(unit_resolution,[status(thm)],[17369, 879])).
% 8.09/6.01 tff(17371,plain,
% 8.09/6.01 (nextState(constB120, constB121) <=> nextState(constB120, constB121)),
% 8.09/6.01 inference(rewrite,[status(thm)],[])).
% 8.09/6.01 tff(17372,axiom,(nextState(constB120, constB121)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_120')).
% 8.09/6.01 tff(17373,plain,
% 8.09/6.01 (nextState(constB120, constB121)),
% 8.09/6.01 inference(modus_ponens,[status(thm)],[17372, 17371])).
% 8.09/6.01 tff(17374,plain,
% 8.09/6.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB120, constB121)) | (v100(constB121) <=> (~((~v101(constB121)) | (~v110(constB121))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB120, constB121)) | (v100(constB121) <=> (~((~v101(constB121)) | (~v110(constB121))))))),
% 8.09/6.01 inference(rewrite,[status(thm)],[])).
% 8.09/6.01 tff(17375,plain,
% 8.09/6.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB120, constB121)) | (v100(constB121) <=> (~((~v101(constB121)) | (~v110(constB121))))))),
% 8.09/6.01 inference(quant_inst,[status(thm)],[])).
% 8.09/6.01 tff(17376,plain,
% 8.09/6.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB120, constB121)) | (v100(constB121) <=> (~((~v101(constB121)) | (~v110(constB121)))))),
% 8.09/6.01 inference(modus_ponens,[status(thm)],[17375, 17374])).
% 8.09/6.01 tff(17377,plain,
% 8.09/6.01 (v100(constB121) <=> (~((~v101(constB121)) | (~v110(constB121))))),
% 8.09/6.01 inference(unit_resolution,[status(thm)],[17376, 17373, 445])).
% 8.09/6.01 tff(17378,plain,
% 8.09/6.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB120, constB121)) | (v101(constB121) <=> (~((~v1(constB121)) | (~v102(constB121))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB120, constB121)) | (v101(constB121) <=> (~((~v1(constB121)) | (~v102(constB121))))))),
% 8.09/6.01 inference(rewrite,[status(thm)],[])).
% 8.09/6.01 tff(17379,plain,
% 8.09/6.01 (((~nextState(constB120, constB121)) | (v101(constB121) <=> (~((~v102(constB121)) | (~v1(constB121)))))) <=> ((~nextState(constB120, constB121)) | (v101(constB121) <=> (~((~v1(constB121)) | (~v102(constB121))))))),
% 8.09/6.01 inference(rewrite,[status(thm)],[])).
% 8.09/6.01 tff(17380,plain,
% 8.09/6.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB120, constB121)) | (v101(constB121) <=> (~((~v102(constB121)) | (~v1(constB121))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB120, constB121)) | (v101(constB121) <=> (~((~v1(constB121)) | (~v102(constB121)))))))),
% 8.09/6.01 inference(monotonicity,[status(thm)],[17379])).
% 8.09/6.01 tff(17381,plain,
% 8.09/6.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB120, constB121)) | (v101(constB121) <=> (~((~v102(constB121)) | (~v1(constB121))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB120, constB121)) | (v101(constB121) <=> (~((~v1(constB121)) | (~v102(constB121))))))),
% 8.09/6.01 inference(transitivity,[status(thm)],[17380, 17378])).
% 8.09/6.01 tff(17382,plain,
% 8.09/6.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB120, constB121)) | (v101(constB121) <=> (~((~v102(constB121)) | (~v1(constB121))))))),
% 8.09/6.01 inference(quant_inst,[status(thm)],[])).
% 8.09/6.01 tff(17383,plain,
% 8.09/6.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB120, constB121)) | (v101(constB121) <=> (~((~v1(constB121)) | (~v102(constB121)))))),
% 8.09/6.01 inference(modus_ponens,[status(thm)],[17382, 17381])).
% 8.09/6.01 tff(17384,plain,
% 8.09/6.01 (v101(constB121) <=> (~((~v1(constB121)) | (~v102(constB121))))),
% 8.09/6.01 inference(unit_resolution,[status(thm)],[17383, 17373, 465])).
% 8.09/6.01 tff(17385,plain,
% 8.09/6.01 ((~v1(constB121)) <=> (~v1(constB121))),
% 8.09/6.01 inference(rewrite,[status(thm)],[])).
% 8.09/6.01 tff(17386,axiom,(~v1(constB121)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_121')).
% 8.09/6.01 tff(17387,plain,
% 8.09/6.01 (~v1(constB121)),
% 8.09/6.01 inference(modus_ponens,[status(thm)],[17386, 17385])).
% 8.09/6.01 tff(17388,plain,
% 8.09/6.01 (((~v1(constB121)) | (~v102(constB121))) | v1(constB121)),
% 8.09/6.01 inference(tautology,[status(thm)],[])).
% 8.09/6.01 tff(17389,plain,
% 8.09/6.01 ((~v1(constB121)) | (~v102(constB121))),
% 8.09/6.01 inference(unit_resolution,[status(thm)],[17388, 17387])).
% 8.09/6.01 tff(17390,plain,
% 8.09/6.01 ((~(v101(constB121) <=> (~((~v1(constB121)) | (~v102(constB121)))))) | (~v101(constB121)) | (~((~v1(constB121)) | (~v102(constB121))))),
% 8.09/6.01 inference(tautology,[status(thm)],[])).
% 8.09/6.01 tff(17391,plain,
% 8.09/6.01 ((~(v101(constB121) <=> (~((~v1(constB121)) | (~v102(constB121)))))) | (~v101(constB121))),
% 8.09/6.01 inference(unit_resolution,[status(thm)],[17390, 17389])).
% 8.09/6.01 tff(17392,plain,
% 8.09/6.01 (~v101(constB121)),
% 8.09/6.01 inference(unit_resolution,[status(thm)],[17391, 17384])).
% 8.09/6.01 tff(17393,plain,
% 8.09/6.01 (((~v101(constB121)) | (~v110(constB121))) | v101(constB121)),
% 8.09/6.01 inference(tautology,[status(thm)],[])).
% 8.09/6.01 tff(17394,plain,
% 8.09/6.01 ((~v101(constB121)) | (~v110(constB121))),
% 8.09/6.01 inference(unit_resolution,[status(thm)],[17393, 17392])).
% 8.09/6.01 tff(17395,plain,
% 8.09/6.01 ((~(v100(constB121) <=> (~((~v101(constB121)) | (~v110(constB121)))))) | (~v100(constB121)) | (~((~v101(constB121)) | (~v110(constB121))))),
% 8.09/6.01 inference(tautology,[status(thm)],[])).
% 8.09/6.01 tff(17396,plain,
% 8.09/6.01 (~v100(constB121)),
% 8.09/6.01 inference(unit_resolution,[status(thm)],[17395, 17394, 17377])).
% 8.09/6.01 tff(17397,plain,
% 8.09/6.01 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB121) | (~nextState(constB120, constB121)) | (~(((~v90(constB121, bitIndex1)) <=> v90(constB120, bitIndex1)) | ((~v90(constB121, bitIndex2)) <=> v90(constB120, bitIndex2)) | ((~v90(constB121, bitIndex0)) <=> v90(constB120, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB121) | (~nextState(constB120, constB121)) | (~(((~v90(constB121, bitIndex1)) <=> v90(constB120, bitIndex1)) | ((~v90(constB121, bitIndex2)) <=> v90(constB120, bitIndex2)) | ((~v90(constB121, bitIndex0)) <=> v90(constB120, bitIndex0)))))),
% 8.09/6.01 inference(rewrite,[status(thm)],[])).
% 8.09/6.01 tff(17398,plain,
% 8.09/6.01 ((v100(constB121) | (~nextState(constB120, constB121)) | (~(((~v90(constB121, bitIndex2)) <=> v90(constB120, bitIndex2)) | ((~v90(constB121, bitIndex1)) <=> v90(constB120, bitIndex1)) | ((~v90(constB121, bitIndex0)) <=> v90(constB120, bitIndex0))))) <=> (v100(constB121) | (~nextState(constB120, constB121)) | (~(((~v90(constB121, bitIndex1)) <=> v90(constB120, bitIndex1)) | ((~v90(constB121, bitIndex2)) <=> v90(constB120, bitIndex2)) | ((~v90(constB121, bitIndex0)) <=> v90(constB120, bitIndex0)))))),
% 8.09/6.01 inference(rewrite,[status(thm)],[])).
% 8.09/6.01 tff(17399,plain,
% 8.09/6.01 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB121) | (~nextState(constB120, constB121)) | (~(((~v90(constB121, bitIndex2)) <=> v90(constB120, bitIndex2)) | ((~v90(constB121, bitIndex1)) <=> v90(constB120, bitIndex1)) | ((~v90(constB121, bitIndex0)) <=> v90(constB120, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB121) | (~nextState(constB120, constB121)) | (~(((~v90(constB121, bitIndex1)) <=> v90(constB120, bitIndex1)) | ((~v90(constB121, bitIndex2)) <=> v90(constB120, bitIndex2)) | ((~v90(constB121, bitIndex0)) <=> v90(constB120, bitIndex0))))))),
% 8.09/6.01 inference(monotonicity,[status(thm)],[17398])).
% 8.09/6.01 tff(17400,plain,
% 8.09/6.01 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB121) | (~nextState(constB120, constB121)) | (~(((~v90(constB121, bitIndex2)) <=> v90(constB120, bitIndex2)) | ((~v90(constB121, bitIndex1)) <=> v90(constB120, bitIndex1)) | ((~v90(constB121, bitIndex0)) <=> v90(constB120, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB121) | (~nextState(constB120, constB121)) | (~(((~v90(constB121, bitIndex1)) <=> v90(constB120, bitIndex1)) | ((~v90(constB121, bitIndex2)) <=> v90(constB120, bitIndex2)) | ((~v90(constB121, bitIndex0)) <=> v90(constB120, bitIndex0)))))),
% 8.09/6.01 inference(transitivity,[status(thm)],[17399, 17397])).
% 8.09/6.01 tff(17401,plain,
% 8.09/6.01 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB121) | (~nextState(constB120, constB121)) | (~(((~v90(constB121, bitIndex2)) <=> v90(constB120, bitIndex2)) | ((~v90(constB121, bitIndex1)) <=> v90(constB120, bitIndex1)) | ((~v90(constB121, bitIndex0)) <=> v90(constB120, bitIndex0)))))),
% 8.09/6.01 inference(quant_inst,[status(thm)],[])).
% 8.09/6.01 tff(17402,plain,
% 8.09/6.01 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB121) | (~nextState(constB120, constB121)) | (~(((~v90(constB121, bitIndex1)) <=> v90(constB120, bitIndex1)) | ((~v90(constB121, bitIndex2)) <=> v90(constB120, bitIndex2)) | ((~v90(constB121, bitIndex0)) <=> v90(constB120, bitIndex0))))),
% 8.09/6.01 inference(modus_ponens,[status(thm)],[17401, 17400])).
% 8.09/6.01 tff(17403,plain,
% 8.09/6.01 (v100(constB121) | (~(((~v90(constB121, bitIndex1)) <=> v90(constB120, bitIndex1)) | ((~v90(constB121, bitIndex2)) <=> v90(constB120, bitIndex2)) | ((~v90(constB121, bitIndex0)) <=> v90(constB120, bitIndex0))))),
% 8.09/6.01 inference(unit_resolution,[status(thm)],[17402, 17373, 494])).
% 8.09/6.01 tff(17404,plain,
% 8.09/6.01 (~(((~v90(constB121, bitIndex1)) <=> v90(constB120, bitIndex1)) | ((~v90(constB121, bitIndex2)) <=> v90(constB120, bitIndex2)) | ((~v90(constB121, bitIndex0)) <=> v90(constB120, bitIndex0)))),
% 8.09/6.01 inference(unit_resolution,[status(thm)],[17403, 17396])).
% 8.09/6.01 tff(17405,plain,
% 8.09/6.01 ((((~v90(constB121, bitIndex1)) <=> v90(constB120, bitIndex1)) | ((~v90(constB121, bitIndex2)) <=> v90(constB120, bitIndex2)) | ((~v90(constB121, bitIndex0)) <=> v90(constB120, bitIndex0))) | (~((~v90(constB121, bitIndex2)) <=> v90(constB120, bitIndex2)))),
% 8.09/6.01 inference(tautology,[status(thm)],[])).
% 8.09/6.01 tff(17406,plain,
% 8.09/6.01 (~((~v90(constB121, bitIndex2)) <=> v90(constB120, bitIndex2))),
% 8.09/6.01 inference(unit_resolution,[status(thm)],[17405, 17404])).
% 8.09/6.01 tff(17407,plain,
% 8.09/6.01 (nextState(constB119, constB120) <=> nextState(constB119, constB120)),
% 8.09/6.01 inference(rewrite,[status(thm)],[])).
% 8.09/6.01 tff(17408,axiom,(nextState(constB119, constB120)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_119')).
% 8.09/6.01 tff(17409,plain,
% 8.09/6.01 (nextState(constB119, constB120)),
% 8.09/6.01 inference(modus_ponens,[status(thm)],[17408, 17407])).
% 8.09/6.01 tff(17410,plain,
% 8.09/6.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB119, constB120)) | (~(((~v129(constB120, bitIndex2)) <=> v127(constB119, bitIndex2)) | ((~v129(constB120, bitIndex1)) <=> v127(constB119, bitIndex1)) | ((~v129(constB120, bitIndex0)) <=> v127(constB119, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB119, constB120)) | (~(((~v129(constB120, bitIndex2)) <=> v127(constB119, bitIndex2)) | ((~v129(constB120, bitIndex1)) <=> v127(constB119, bitIndex1)) | ((~v129(constB120, bitIndex0)) <=> v127(constB119, bitIndex0)))))),
% 8.09/6.01 inference(rewrite,[status(thm)],[])).
% 8.09/6.01 tff(17411,plain,
% 8.09/6.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB119, constB120)) | (~(((~v129(constB120, bitIndex2)) <=> v127(constB119, bitIndex2)) | ((~v129(constB120, bitIndex1)) <=> v127(constB119, bitIndex1)) | ((~v129(constB120, bitIndex0)) <=> v127(constB119, bitIndex0)))))),
% 8.09/6.01 inference(quant_inst,[status(thm)],[])).
% 8.09/6.01 tff(17412,plain,
% 8.09/6.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB119, constB120)) | (~(((~v129(constB120, bitIndex2)) <=> v127(constB119, bitIndex2)) | ((~v129(constB120, bitIndex1)) <=> v127(constB119, bitIndex1)) | ((~v129(constB120, bitIndex0)) <=> v127(constB119, bitIndex0))))),
% 8.09/6.01 inference(modus_ponens,[status(thm)],[17411, 17410])).
% 8.09/6.01 tff(17413,plain,
% 8.09/6.01 (~(((~v129(constB120, bitIndex2)) <=> v127(constB119, bitIndex2)) | ((~v129(constB120, bitIndex1)) <=> v127(constB119, bitIndex1)) | ((~v129(constB120, bitIndex0)) <=> v127(constB119, bitIndex0)))),
% 8.09/6.02 inference(unit_resolution,[status(thm)],[17412, 17409, 517])).
% 8.09/6.02 tff(17414,plain,
% 8.09/6.02 ((((~v129(constB120, bitIndex2)) <=> v127(constB119, bitIndex2)) | ((~v129(constB120, bitIndex1)) <=> v127(constB119, bitIndex1)) | ((~v129(constB120, bitIndex0)) <=> v127(constB119, bitIndex0))) | (~((~v129(constB120, bitIndex2)) <=> v127(constB119, bitIndex2)))),
% 8.09/6.02 inference(tautology,[status(thm)],[])).
% 8.09/6.02 tff(17415,plain,
% 8.09/6.02 (~((~v129(constB120, bitIndex2)) <=> v127(constB119, bitIndex2))),
% 8.09/6.02 inference(unit_resolution,[status(thm)],[17414, 17413])).
% 8.09/6.02 tff(17416,plain,
% 8.09/6.02 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB119) <=> v26(constB119))),
% 8.09/6.02 inference(quant_inst,[status(thm)],[])).
% 8.09/6.02 tff(17417,plain,
% 8.09/6.02 (v111(constB119) <=> v26(constB119)),
% 8.09/6.02 inference(unit_resolution,[status(thm)],[17416, 536])).
% 8.09/6.02 tff(17418,plain,
% 8.09/6.02 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB119))),
% 8.09/6.02 inference(quant_inst,[status(thm)],[])).
% 8.09/6.02 tff(17419,plain,
% 8.09/6.02 (~v26(constB119)),
% 8.09/6.02 inference(unit_resolution,[status(thm)],[17418, 548])).
% 8.09/6.02 tff(17420,plain,
% 8.09/6.02 ((~(v111(constB119) <=> v26(constB119))) | (~v111(constB119)) | v26(constB119)),
% 8.09/6.02 inference(tautology,[status(thm)],[])).
% 8.09/6.02 tff(17421,plain,
% 8.09/6.02 ((~(v111(constB119) <=> v26(constB119))) | (~v111(constB119))),
% 8.09/6.02 inference(unit_resolution,[status(thm)],[17420, 17419])).
% 8.09/6.02 tff(17422,plain,
% 8.09/6.02 (~v111(constB119)),
% 8.09/6.02 inference(unit_resolution,[status(thm)],[17421, 17417])).
% 8.09/6.02 tff(17423,plain,
% 8.09/6.02 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB119) | (~(((~v127(constB119, bitIndex2)) <=> v130(constB119, bitIndex2)) | ((~v127(constB119, bitIndex1)) <=> v130(constB119, bitIndex1)) | ((~v127(constB119, bitIndex0)) <=> v130(constB119, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB119) | (~(((~v127(constB119, bitIndex2)) <=> v130(constB119, bitIndex2)) | ((~v127(constB119, bitIndex1)) <=> v130(constB119, bitIndex1)) | ((~v127(constB119, bitIndex0)) <=> v130(constB119, bitIndex0)))))),
% 8.09/6.02 inference(rewrite,[status(thm)],[])).
% 8.09/6.02 tff(17424,plain,
% 8.09/6.02 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB119) | (~(((~v127(constB119, bitIndex2)) <=> v130(constB119, bitIndex2)) | ((~v127(constB119, bitIndex1)) <=> v130(constB119, bitIndex1)) | ((~v127(constB119, bitIndex0)) <=> v130(constB119, bitIndex0)))))),
% 8.09/6.02 inference(quant_inst,[status(thm)],[])).
% 8.09/6.02 tff(17425,plain,
% 8.09/6.02 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB119) | (~(((~v127(constB119, bitIndex2)) <=> v130(constB119, bitIndex2)) | ((~v127(constB119, bitIndex1)) <=> v130(constB119, bitIndex1)) | ((~v127(constB119, bitIndex0)) <=> v130(constB119, bitIndex0))))),
% 8.09/6.02 inference(modus_ponens,[status(thm)],[17424, 17423])).
% 8.09/6.02 tff(17426,plain,
% 8.09/6.02 (v111(constB119) | (~(((~v127(constB119, bitIndex2)) <=> v130(constB119, bitIndex2)) | ((~v127(constB119, bitIndex1)) <=> v130(constB119, bitIndex1)) | ((~v127(constB119, bitIndex0)) <=> v130(constB119, bitIndex0))))),
% 8.09/6.02 inference(unit_resolution,[status(thm)],[17425, 566])).
% 8.09/6.02 tff(17427,plain,
% 8.09/6.02 (~(((~v127(constB119, bitIndex2)) <=> v130(constB119, bitIndex2)) | ((~v127(constB119, bitIndex1)) <=> v130(constB119, bitIndex1)) | ((~v127(constB119, bitIndex0)) <=> v130(constB119, bitIndex0)))),
% 8.09/6.02 inference(unit_resolution,[status(thm)],[17426, 17422])).
% 8.09/6.02 tff(17428,plain,
% 8.09/6.02 ((((~v127(constB119, bitIndex2)) <=> v130(constB119, bitIndex2)) | ((~v127(constB119, bitIndex1)) <=> v130(constB119, bitIndex1)) | ((~v127(constB119, bitIndex0)) <=> v130(constB119, bitIndex0))) | (~((~v127(constB119, bitIndex2)) <=> v130(constB119, bitIndex2)))),
% 8.09/6.02 inference(tautology,[status(thm)],[])).
% 8.09/6.02 tff(17429,plain,
% 8.09/6.02 (~((~v127(constB119, bitIndex2)) <=> v130(constB119, bitIndex2))),
% 8.09/6.02 inference(unit_resolution,[status(thm)],[17428, 17427])).
% 8.09/6.02 tff(17430,plain,
% 8.09/6.02 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB119) <=> (~(v90(constB119, bitIndex2) | v90(constB119, bitIndex0) | (~v90(constB119, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB119) <=> (~(v90(constB119, bitIndex2) | v90(constB119, bitIndex0) | (~v90(constB119, bitIndex1))))))),
% 8.09/6.02 inference(rewrite,[status(thm)],[])).
% 8.09/6.02 tff(17431,plain,
% 8.09/6.02 ((v121(constB119) <=> (~(v90(constB119, bitIndex0) | v90(constB119, bitIndex2) | (~v90(constB119, bitIndex1))))) <=> (v121(constB119) <=> (~(v90(constB119, bitIndex2) | v90(constB119, bitIndex0) | (~v90(constB119, bitIndex1)))))),
% 8.09/6.02 inference(rewrite,[status(thm)],[])).
% 8.09/6.02 tff(17432,plain,
% 8.09/6.02 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB119) <=> (~(v90(constB119, bitIndex0) | v90(constB119, bitIndex2) | (~v90(constB119, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB119) <=> (~(v90(constB119, bitIndex2) | v90(constB119, bitIndex0) | (~v90(constB119, bitIndex1))))))),
% 8.09/6.02 inference(monotonicity,[status(thm)],[17431])).
% 8.09/6.02 tff(17433,plain,
% 8.09/6.02 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB119) <=> (~(v90(constB119, bitIndex0) | v90(constB119, bitIndex2) | (~v90(constB119, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB119) <=> (~(v90(constB119, bitIndex2) | v90(constB119, bitIndex0) | (~v90(constB119, bitIndex1))))))),
% 8.09/6.02 inference(transitivity,[status(thm)],[17432, 17430])).
% 8.09/6.02 tff(17434,plain,
% 8.09/6.02 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB119) <=> (~(v90(constB119, bitIndex0) | v90(constB119, bitIndex2) | (~v90(constB119, bitIndex1)))))),
% 8.09/6.02 inference(quant_inst,[status(thm)],[])).
% 8.09/6.02 tff(17435,plain,
% 8.09/6.02 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB119) <=> (~(v90(constB119, bitIndex2) | v90(constB119, bitIndex0) | (~v90(constB119, bitIndex1)))))),
% 8.09/6.02 inference(modus_ponens,[status(thm)],[17434, 17433])).
% 8.09/6.02 tff(17436,plain,
% 8.09/6.02 (v121(constB119) <=> (~(v90(constB119, bitIndex2) | v90(constB119, bitIndex0) | (~v90(constB119, bitIndex1))))),
% 8.09/6.02 inference(unit_resolution,[status(thm)],[17435, 586])).
% 8.09/6.02 tff(17437,plain,
% 8.09/6.02 (nextState(constB118, constB119) <=> nextState(constB118, constB119)),
% 8.09/6.02 inference(rewrite,[status(thm)],[])).
% 8.09/6.02 tff(17438,axiom,(nextState(constB118, constB119)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_118')).
% 8.09/6.02 tff(17439,plain,
% 8.09/6.02 (nextState(constB118, constB119)),
% 8.09/6.02 inference(modus_ponens,[status(thm)],[17438, 17437])).
% 8.09/6.02 tff(17440,plain,
% 8.09/6.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB118, constB119)) | (v100(constB119) <=> (~((~v101(constB119)) | (~v110(constB119))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB118, constB119)) | (v100(constB119) <=> (~((~v101(constB119)) | (~v110(constB119))))))),
% 8.09/6.02 inference(rewrite,[status(thm)],[])).
% 8.09/6.02 tff(17441,plain,
% 8.09/6.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB118, constB119)) | (v100(constB119) <=> (~((~v101(constB119)) | (~v110(constB119))))))),
% 8.09/6.02 inference(quant_inst,[status(thm)],[])).
% 8.09/6.02 tff(17442,plain,
% 8.09/6.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB118, constB119)) | (v100(constB119) <=> (~((~v101(constB119)) | (~v110(constB119)))))),
% 8.09/6.02 inference(modus_ponens,[status(thm)],[17441, 17440])).
% 8.09/6.02 tff(17443,plain,
% 8.09/6.02 (v100(constB119) <=> (~((~v101(constB119)) | (~v110(constB119))))),
% 8.09/6.02 inference(unit_resolution,[status(thm)],[17442, 17439, 445])).
% 8.09/6.02 tff(17444,plain,
% 8.09/6.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB118, constB119)) | (v101(constB119) <=> (~((~v1(constB119)) | (~v102(constB119))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB118, constB119)) | (v101(constB119) <=> (~((~v1(constB119)) | (~v102(constB119))))))),
% 8.09/6.02 inference(rewrite,[status(thm)],[])).
% 8.09/6.02 tff(17445,plain,
% 8.09/6.02 (((~nextState(constB118, constB119)) | (v101(constB119) <=> (~((~v102(constB119)) | (~v1(constB119)))))) <=> ((~nextState(constB118, constB119)) | (v101(constB119) <=> (~((~v1(constB119)) | (~v102(constB119))))))),
% 8.09/6.02 inference(rewrite,[status(thm)],[])).
% 8.09/6.02 tff(17446,plain,
% 8.09/6.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB118, constB119)) | (v101(constB119) <=> (~((~v102(constB119)) | (~v1(constB119))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB118, constB119)) | (v101(constB119) <=> (~((~v1(constB119)) | (~v102(constB119)))))))),
% 8.09/6.02 inference(monotonicity,[status(thm)],[17445])).
% 8.09/6.02 tff(17447,plain,
% 8.09/6.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB118, constB119)) | (v101(constB119) <=> (~((~v102(constB119)) | (~v1(constB119))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB118, constB119)) | (v101(constB119) <=> (~((~v1(constB119)) | (~v102(constB119))))))),
% 8.09/6.02 inference(transitivity,[status(thm)],[17446, 17444])).
% 8.09/6.02 tff(17448,plain,
% 8.09/6.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB118, constB119)) | (v101(constB119) <=> (~((~v102(constB119)) | (~v1(constB119))))))),
% 8.09/6.02 inference(quant_inst,[status(thm)],[])).
% 8.09/6.02 tff(17449,plain,
% 8.09/6.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB118, constB119)) | (v101(constB119) <=> (~((~v1(constB119)) | (~v102(constB119)))))),
% 8.09/6.02 inference(modus_ponens,[status(thm)],[17448, 17447])).
% 8.09/6.02 tff(17450,plain,
% 8.09/6.02 (v101(constB119) <=> (~((~v1(constB119)) | (~v102(constB119))))),
% 8.09/6.02 inference(unit_resolution,[status(thm)],[17449, 17439, 465])).
% 8.09/6.02 tff(17451,plain,
% 8.09/6.02 ((~v1(constB119)) <=> (~v1(constB119))),
% 8.09/6.02 inference(rewrite,[status(thm)],[])).
% 8.09/6.02 tff(17452,axiom,(~v1(constB119)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_119')).
% 8.09/6.02 tff(17453,plain,
% 8.09/6.02 (~v1(constB119)),
% 8.09/6.02 inference(modus_ponens,[status(thm)],[17452, 17451])).
% 8.09/6.02 tff(17454,plain,
% 8.09/6.02 (((~v1(constB119)) | (~v102(constB119))) | v1(constB119)),
% 8.09/6.02 inference(tautology,[status(thm)],[])).
% 8.09/6.02 tff(17455,plain,
% 8.09/6.02 ((~v1(constB119)) | (~v102(constB119))),
% 8.09/6.02 inference(unit_resolution,[status(thm)],[17454, 17453])).
% 8.09/6.02 tff(17456,plain,
% 8.09/6.02 ((~(v101(constB119) <=> (~((~v1(constB119)) | (~v102(constB119)))))) | (~v101(constB119)) | (~((~v1(constB119)) | (~v102(constB119))))),
% 8.09/6.02 inference(tautology,[status(thm)],[])).
% 8.09/6.02 tff(17457,plain,
% 8.09/6.02 ((~(v101(constB119) <=> (~((~v1(constB119)) | (~v102(constB119)))))) | (~v101(constB119))),
% 8.09/6.02 inference(unit_resolution,[status(thm)],[17456, 17455])).
% 8.09/6.02 tff(17458,plain,
% 8.09/6.02 (~v101(constB119)),
% 8.09/6.02 inference(unit_resolution,[status(thm)],[17457, 17450])).
% 8.09/6.02 tff(17459,plain,
% 8.09/6.02 (((~v101(constB119)) | (~v110(constB119))) | v101(constB119)),
% 8.09/6.02 inference(tautology,[status(thm)],[])).
% 8.09/6.02 tff(17460,plain,
% 8.09/6.02 ((~v101(constB119)) | (~v110(constB119))),
% 8.09/6.02 inference(unit_resolution,[status(thm)],[17459, 17458])).
% 8.09/6.02 tff(17461,plain,
% 8.09/6.02 ((~(v100(constB119) <=> (~((~v101(constB119)) | (~v110(constB119)))))) | (~v100(constB119)) | (~((~v101(constB119)) | (~v110(constB119))))),
% 8.09/6.02 inference(tautology,[status(thm)],[])).
% 8.09/6.02 tff(17462,plain,
% 8.09/6.02 (~v100(constB119)),
% 8.09/6.02 inference(unit_resolution,[status(thm)],[17461, 17460, 17443])).
% 8.09/6.02 tff(17463,plain,
% 8.09/6.02 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB119) | (~nextState(constB118, constB119)) | (~(((~v90(constB119, bitIndex1)) <=> v90(constB118, bitIndex1)) | ((~v90(constB119, bitIndex2)) <=> v90(constB118, bitIndex2)) | ((~v90(constB119, bitIndex0)) <=> v90(constB118, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB119) | (~nextState(constB118, constB119)) | (~(((~v90(constB119, bitIndex1)) <=> v90(constB118, bitIndex1)) | ((~v90(constB119, bitIndex2)) <=> v90(constB118, bitIndex2)) | ((~v90(constB119, bitIndex0)) <=> v90(constB118, bitIndex0)))))),
% 8.09/6.02 inference(rewrite,[status(thm)],[])).
% 8.09/6.02 tff(17464,plain,
% 8.09/6.02 ((v100(constB119) | (~nextState(constB118, constB119)) | (~(((~v90(constB119, bitIndex2)) <=> v90(constB118, bitIndex2)) | ((~v90(constB119, bitIndex1)) <=> v90(constB118, bitIndex1)) | ((~v90(constB119, bitIndex0)) <=> v90(constB118, bitIndex0))))) <=> (v100(constB119) | (~nextState(constB118, constB119)) | (~(((~v90(constB119, bitIndex1)) <=> v90(constB118, bitIndex1)) | ((~v90(constB119, bitIndex2)) <=> v90(constB118, bitIndex2)) | ((~v90(constB119, bitIndex0)) <=> v90(constB118, bitIndex0)))))),
% 8.09/6.02 inference(rewrite,[status(thm)],[])).
% 8.09/6.02 tff(17465,plain,
% 8.09/6.02 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB119) | (~nextState(constB118, constB119)) | (~(((~v90(constB119, bitIndex2)) <=> v90(constB118, bitIndex2)) | ((~v90(constB119, bitIndex1)) <=> v90(constB118, bitIndex1)) | ((~v90(constB119, bitIndex0)) <=> v90(constB118, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB119) | (~nextState(constB118, constB119)) | (~(((~v90(constB119, bitIndex1)) <=> v90(constB118, bitIndex1)) | ((~v90(constB119, bitIndex2)) <=> v90(constB118, bitIndex2)) | ((~v90(constB119, bitIndex0)) <=> v90(constB118, bitIndex0))))))),
% 8.09/6.02 inference(monotonicity,[status(thm)],[17464])).
% 8.09/6.02 tff(17466,plain,
% 8.09/6.02 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB119) | (~nextState(constB118, constB119)) | (~(((~v90(constB119, bitIndex2)) <=> v90(constB118, bitIndex2)) | ((~v90(constB119, bitIndex1)) <=> v90(constB118, bitIndex1)) | ((~v90(constB119, bitIndex0)) <=> v90(constB118, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB119) | (~nextState(constB118, constB119)) | (~(((~v90(constB119, bitIndex1)) <=> v90(constB118, bitIndex1)) | ((~v90(constB119, bitIndex2)) <=> v90(constB118, bitIndex2)) | ((~v90(constB119, bitIndex0)) <=> v90(constB118, bitIndex0)))))),
% 8.09/6.02 inference(transitivity,[status(thm)],[17465, 17463])).
% 8.09/6.02 tff(17467,plain,
% 8.09/6.02 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB119) | (~nextState(constB118, constB119)) | (~(((~v90(constB119, bitIndex2)) <=> v90(constB118, bitIndex2)) | ((~v90(constB119, bitIndex1)) <=> v90(constB118, bitIndex1)) | ((~v90(constB119, bitIndex0)) <=> v90(constB118, bitIndex0)))))),
% 8.09/6.02 inference(quant_inst,[status(thm)],[])).
% 8.09/6.02 tff(17468,plain,
% 8.09/6.02 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB119) | (~nextState(constB118, constB119)) | (~(((~v90(constB119, bitIndex1)) <=> v90(constB118, bitIndex1)) | ((~v90(constB119, bitIndex2)) <=> v90(constB118, bitIndex2)) | ((~v90(constB119, bitIndex0)) <=> v90(constB118, bitIndex0))))),
% 8.09/6.02 inference(modus_ponens,[status(thm)],[17467, 17466])).
% 8.09/6.02 tff(17469,plain,
% 8.09/6.02 (v100(constB119) | (~(((~v90(constB119, bitIndex1)) <=> v90(constB118, bitIndex1)) | ((~v90(constB119, bitIndex2)) <=> v90(constB118, bitIndex2)) | ((~v90(constB119, bitIndex0)) <=> v90(constB118, bitIndex0))))),
% 8.09/6.02 inference(unit_resolution,[status(thm)],[17468, 17439, 494])).
% 8.09/6.02 tff(17470,plain,
% 8.09/6.02 (~(((~v90(constB119, bitIndex1)) <=> v90(constB118, bitIndex1)) | ((~v90(constB119, bitIndex2)) <=> v90(constB118, bitIndex2)) | ((~v90(constB119, bitIndex0)) <=> v90(constB118, bitIndex0)))),
% 8.09/6.02 inference(unit_resolution,[status(thm)],[17469, 17462])).
% 8.09/6.02 tff(17471,plain,
% 8.09/6.02 ((((~v90(constB119, bitIndex1)) <=> v90(constB118, bitIndex1)) | ((~v90(constB119, bitIndex2)) <=> v90(constB118, bitIndex2)) | ((~v90(constB119, bitIndex0)) <=> v90(constB118, bitIndex0))) | (~((~v90(constB119, bitIndex2)) <=> v90(constB118, bitIndex2)))),
% 8.09/6.02 inference(tautology,[status(thm)],[])).
% 8.09/6.02 tff(17472,plain,
% 8.09/6.02 (~((~v90(constB119, bitIndex2)) <=> v90(constB118, bitIndex2))),
% 8.09/6.02 inference(unit_resolution,[status(thm)],[17471, 17470])).
% 8.09/6.02 tff(17473,plain,
% 8.09/6.02 (nextState(constB117, constB118) <=> nextState(constB117, constB118)),
% 8.09/6.02 inference(rewrite,[status(thm)],[])).
% 8.09/6.02 tff(17474,axiom,(nextState(constB117, constB118)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_117')).
% 8.09/6.02 tff(17475,plain,
% 8.09/6.02 (nextState(constB117, constB118)),
% 8.09/6.02 inference(modus_ponens,[status(thm)],[17474, 17473])).
% 8.09/6.02 tff(17476,plain,
% 8.09/6.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB117, constB118)) | (~(((~v129(constB118, bitIndex2)) <=> v127(constB117, bitIndex2)) | ((~v129(constB118, bitIndex1)) <=> v127(constB117, bitIndex1)) | ((~v129(constB118, bitIndex0)) <=> v127(constB117, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB117, constB118)) | (~(((~v129(constB118, bitIndex2)) <=> v127(constB117, bitIndex2)) | ((~v129(constB118, bitIndex1)) <=> v127(constB117, bitIndex1)) | ((~v129(constB118, bitIndex0)) <=> v127(constB117, bitIndex0)))))),
% 8.09/6.02 inference(rewrite,[status(thm)],[])).
% 8.09/6.02 tff(17477,plain,
% 8.09/6.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB117, constB118)) | (~(((~v129(constB118, bitIndex2)) <=> v127(constB117, bitIndex2)) | ((~v129(constB118, bitIndex1)) <=> v127(constB117, bitIndex1)) | ((~v129(constB118, bitIndex0)) <=> v127(constB117, bitIndex0)))))),
% 8.09/6.02 inference(quant_inst,[status(thm)],[])).
% 8.09/6.02 tff(17478,plain,
% 8.09/6.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB117, constB118)) | (~(((~v129(constB118, bitIndex2)) <=> v127(constB117, bitIndex2)) | ((~v129(constB118, bitIndex1)) <=> v127(constB117, bitIndex1)) | ((~v129(constB118, bitIndex0)) <=> v127(constB117, bitIndex0))))),
% 8.09/6.02 inference(modus_ponens,[status(thm)],[17477, 17476])).
% 8.09/6.02 tff(17479,plain,
% 8.09/6.02 (~(((~v129(constB118, bitIndex2)) <=> v127(constB117, bitIndex2)) | ((~v129(constB118, bitIndex1)) <=> v127(constB117, bitIndex1)) | ((~v129(constB118, bitIndex0)) <=> v127(constB117, bitIndex0)))),
% 8.09/6.02 inference(unit_resolution,[status(thm)],[17478, 17475, 517])).
% 8.09/6.02 tff(17480,plain,
% 8.09/6.02 ((((~v129(constB118, bitIndex2)) <=> v127(constB117, bitIndex2)) | ((~v129(constB118, bitIndex1)) <=> v127(constB117, bitIndex1)) | ((~v129(constB118, bitIndex0)) <=> v127(constB117, bitIndex0))) | (~((~v129(constB118, bitIndex2)) <=> v127(constB117, bitIndex2)))),
% 8.09/6.02 inference(tautology,[status(thm)],[])).
% 8.09/6.02 tff(17481,plain,
% 8.09/6.02 (~((~v129(constB118, bitIndex2)) <=> v127(constB117, bitIndex2))),
% 8.09/6.02 inference(unit_resolution,[status(thm)],[17480, 17479])).
% 8.09/6.02 tff(17482,plain,
% 8.09/6.02 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB117) <=> v26(constB117))),
% 8.09/6.02 inference(quant_inst,[status(thm)],[])).
% 8.09/6.02 tff(17483,plain,
% 8.09/6.02 (v111(constB117) <=> v26(constB117)),
% 8.09/6.02 inference(unit_resolution,[status(thm)],[17482, 536])).
% 8.09/6.02 tff(17484,plain,
% 8.09/6.02 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB117))),
% 8.09/6.02 inference(quant_inst,[status(thm)],[])).
% 8.09/6.02 tff(17485,plain,
% 8.09/6.02 (~v26(constB117)),
% 8.09/6.02 inference(unit_resolution,[status(thm)],[17484, 548])).
% 8.09/6.02 tff(17486,plain,
% 8.09/6.02 ((~(v111(constB117) <=> v26(constB117))) | (~v111(constB117)) | v26(constB117)),
% 8.09/6.02 inference(tautology,[status(thm)],[])).
% 8.09/6.02 tff(17487,plain,
% 8.09/6.02 ((~(v111(constB117) <=> v26(constB117))) | (~v111(constB117))),
% 8.09/6.02 inference(unit_resolution,[status(thm)],[17486, 17485])).
% 8.09/6.02 tff(17488,plain,
% 8.09/6.02 (~v111(constB117)),
% 8.09/6.02 inference(unit_resolution,[status(thm)],[17487, 17483])).
% 8.09/6.02 tff(17489,plain,
% 8.09/6.02 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB117) | (~(((~v127(constB117, bitIndex2)) <=> v130(constB117, bitIndex2)) | ((~v127(constB117, bitIndex1)) <=> v130(constB117, bitIndex1)) | ((~v127(constB117, bitIndex0)) <=> v130(constB117, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB117) | (~(((~v127(constB117, bitIndex2)) <=> v130(constB117, bitIndex2)) | ((~v127(constB117, bitIndex1)) <=> v130(constB117, bitIndex1)) | ((~v127(constB117, bitIndex0)) <=> v130(constB117, bitIndex0)))))),
% 8.09/6.02 inference(rewrite,[status(thm)],[])).
% 8.09/6.02 tff(17490,plain,
% 8.09/6.02 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB117) | (~(((~v127(constB117, bitIndex2)) <=> v130(constB117, bitIndex2)) | ((~v127(constB117, bitIndex1)) <=> v130(constB117, bitIndex1)) | ((~v127(constB117, bitIndex0)) <=> v130(constB117, bitIndex0)))))),
% 8.09/6.02 inference(quant_inst,[status(thm)],[])).
% 8.09/6.02 tff(17491,plain,
% 8.09/6.02 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB117) | (~(((~v127(constB117, bitIndex2)) <=> v130(constB117, bitIndex2)) | ((~v127(constB117, bitIndex1)) <=> v130(constB117, bitIndex1)) | ((~v127(constB117, bitIndex0)) <=> v130(constB117, bitIndex0))))),
% 8.09/6.02 inference(modus_ponens,[status(thm)],[17490, 17489])).
% 8.09/6.02 tff(17492,plain,
% 8.09/6.02 (v111(constB117) | (~(((~v127(constB117, bitIndex2)) <=> v130(constB117, bitIndex2)) | ((~v127(constB117, bitIndex1)) <=> v130(constB117, bitIndex1)) | ((~v127(constB117, bitIndex0)) <=> v130(constB117, bitIndex0))))),
% 8.09/6.02 inference(unit_resolution,[status(thm)],[17491, 566])).
% 8.09/6.02 tff(17493,plain,
% 8.09/6.02 (~(((~v127(constB117, bitIndex2)) <=> v130(constB117, bitIndex2)) | ((~v127(constB117, bitIndex1)) <=> v130(constB117, bitIndex1)) | ((~v127(constB117, bitIndex0)) <=> v130(constB117, bitIndex0)))),
% 8.09/6.02 inference(unit_resolution,[status(thm)],[17492, 17488])).
% 8.09/6.02 tff(17494,plain,
% 8.09/6.02 ((((~v127(constB117, bitIndex2)) <=> v130(constB117, bitIndex2)) | ((~v127(constB117, bitIndex1)) <=> v130(constB117, bitIndex1)) | ((~v127(constB117, bitIndex0)) <=> v130(constB117, bitIndex0))) | (~((~v127(constB117, bitIndex2)) <=> v130(constB117, bitIndex2)))),
% 8.09/6.02 inference(tautology,[status(thm)],[])).
% 8.09/6.02 tff(17495,plain,
% 8.09/6.02 (~((~v127(constB117, bitIndex2)) <=> v130(constB117, bitIndex2))),
% 8.09/6.02 inference(unit_resolution,[status(thm)],[17494, 17493])).
% 8.09/6.02 tff(17496,plain,
% 8.09/6.02 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB117) <=> (~(v90(constB117, bitIndex1) | v90(constB117, bitIndex2) | (~v90(constB117, bitIndex0)))))),
% 8.09/6.02 inference(quant_inst,[status(thm)],[])).
% 8.09/6.02 tff(17497,plain,
% 8.09/6.02 (v120(constB117) <=> (~(v90(constB117, bitIndex1) | v90(constB117, bitIndex2) | (~v90(constB117, bitIndex0))))),
% 8.09/6.02 inference(unit_resolution,[status(thm)],[17496, 665])).
% 8.09/6.02 tff(17498,plain,
% 8.09/6.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB116, constB117)) | (v100(constB117) <=> (~((~v101(constB117)) | (~v110(constB117))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB116, constB117)) | (v100(constB117) <=> (~((~v101(constB117)) | (~v110(constB117))))))),
% 8.09/6.02 inference(rewrite,[status(thm)],[])).
% 8.09/6.02 tff(17499,plain,
% 8.09/6.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB116, constB117)) | (v100(constB117) <=> (~((~v101(constB117)) | (~v110(constB117))))))),
% 8.09/6.02 inference(quant_inst,[status(thm)],[])).
% 8.09/6.02 tff(17500,plain,
% 8.09/6.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB116, constB117)) | (v100(constB117) <=> (~((~v101(constB117)) | (~v110(constB117)))))),
% 8.09/6.02 inference(modus_ponens,[status(thm)],[17499, 17498])).
% 8.09/6.02 tff(17501,plain,
% 8.09/6.02 (v100(constB117) <=> (~((~v101(constB117)) | (~v110(constB117))))),
% 8.09/6.02 inference(unit_resolution,[status(thm)],[17500, 10185, 445])).
% 8.09/6.03 tff(17502,plain,
% 8.09/6.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB116, constB117)) | (v101(constB117) <=> (~((~v1(constB117)) | (~v102(constB117))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB116, constB117)) | (v101(constB117) <=> (~((~v1(constB117)) | (~v102(constB117))))))),
% 8.09/6.03 inference(rewrite,[status(thm)],[])).
% 8.09/6.03 tff(17503,plain,
% 8.09/6.03 (((~nextState(constB116, constB117)) | (v101(constB117) <=> (~((~v102(constB117)) | (~v1(constB117)))))) <=> ((~nextState(constB116, constB117)) | (v101(constB117) <=> (~((~v1(constB117)) | (~v102(constB117))))))),
% 8.09/6.03 inference(rewrite,[status(thm)],[])).
% 8.09/6.03 tff(17504,plain,
% 8.09/6.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB116, constB117)) | (v101(constB117) <=> (~((~v102(constB117)) | (~v1(constB117))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB116, constB117)) | (v101(constB117) <=> (~((~v1(constB117)) | (~v102(constB117)))))))),
% 8.09/6.03 inference(monotonicity,[status(thm)],[17503])).
% 8.09/6.03 tff(17505,plain,
% 8.09/6.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB116, constB117)) | (v101(constB117) <=> (~((~v102(constB117)) | (~v1(constB117))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB116, constB117)) | (v101(constB117) <=> (~((~v1(constB117)) | (~v102(constB117))))))),
% 8.09/6.03 inference(transitivity,[status(thm)],[17504, 17502])).
% 8.09/6.03 tff(17506,plain,
% 8.09/6.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB116, constB117)) | (v101(constB117) <=> (~((~v102(constB117)) | (~v1(constB117))))))),
% 8.09/6.03 inference(quant_inst,[status(thm)],[])).
% 8.09/6.03 tff(17507,plain,
% 8.09/6.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB116, constB117)) | (v101(constB117) <=> (~((~v1(constB117)) | (~v102(constB117)))))),
% 8.09/6.03 inference(modus_ponens,[status(thm)],[17506, 17505])).
% 8.09/6.03 tff(17508,plain,
% 8.09/6.03 (v101(constB117) <=> (~((~v1(constB117)) | (~v102(constB117))))),
% 8.09/6.03 inference(unit_resolution,[status(thm)],[17507, 10185, 465])).
% 8.09/6.03 tff(17509,plain,
% 8.09/6.03 ((~v1(constB117)) <=> (~v1(constB117))),
% 8.09/6.03 inference(rewrite,[status(thm)],[])).
% 8.09/6.03 tff(17510,axiom,(~v1(constB117)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_117')).
% 8.09/6.03 tff(17511,plain,
% 8.09/6.03 (~v1(constB117)),
% 8.09/6.03 inference(modus_ponens,[status(thm)],[17510, 17509])).
% 8.09/6.03 tff(17512,plain,
% 8.09/6.03 (((~v1(constB117)) | (~v102(constB117))) | v1(constB117)),
% 8.09/6.03 inference(tautology,[status(thm)],[])).
% 8.09/6.03 tff(17513,plain,
% 8.09/6.03 ((~v1(constB117)) | (~v102(constB117))),
% 8.09/6.03 inference(unit_resolution,[status(thm)],[17512, 17511])).
% 8.09/6.03 tff(17514,plain,
% 8.09/6.03 ((~(v101(constB117) <=> (~((~v1(constB117)) | (~v102(constB117)))))) | (~v101(constB117)) | (~((~v1(constB117)) | (~v102(constB117))))),
% 8.09/6.03 inference(tautology,[status(thm)],[])).
% 8.09/6.03 tff(17515,plain,
% 8.09/6.03 ((~(v101(constB117) <=> (~((~v1(constB117)) | (~v102(constB117)))))) | (~v101(constB117))),
% 8.09/6.03 inference(unit_resolution,[status(thm)],[17514, 17513])).
% 8.09/6.03 tff(17516,plain,
% 8.09/6.03 (~v101(constB117)),
% 8.09/6.03 inference(unit_resolution,[status(thm)],[17515, 17508])).
% 8.09/6.03 tff(17517,plain,
% 8.09/6.03 (((~v101(constB117)) | (~v110(constB117))) | v101(constB117)),
% 8.09/6.03 inference(tautology,[status(thm)],[])).
% 8.09/6.03 tff(17518,plain,
% 8.09/6.03 ((~v101(constB117)) | (~v110(constB117))),
% 8.09/6.03 inference(unit_resolution,[status(thm)],[17517, 17516])).
% 8.09/6.03 tff(17519,plain,
% 8.09/6.03 ((~(v100(constB117) <=> (~((~v101(constB117)) | (~v110(constB117)))))) | (~v100(constB117)) | (~((~v101(constB117)) | (~v110(constB117))))),
% 8.09/6.03 inference(tautology,[status(thm)],[])).
% 8.09/6.03 tff(17520,plain,
% 8.09/6.03 (~v100(constB117)),
% 8.09/6.03 inference(unit_resolution,[status(thm)],[17519, 17518, 17501])).
% 8.09/6.03 tff(17521,plain,
% 8.09/6.03 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB117) | (~nextState(constB116, constB117)) | (~(((~v90(constB117, bitIndex1)) <=> v90(constB116, bitIndex1)) | ((~v90(constB117, bitIndex2)) <=> v90(constB116, bitIndex2)) | ((~v90(constB117, bitIndex0)) <=> v90(constB116, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB117) | (~nextState(constB116, constB117)) | (~(((~v90(constB117, bitIndex1)) <=> v90(constB116, bitIndex1)) | ((~v90(constB117, bitIndex2)) <=> v90(constB116, bitIndex2)) | ((~v90(constB117, bitIndex0)) <=> v90(constB116, bitIndex0)))))),
% 8.09/6.03 inference(rewrite,[status(thm)],[])).
% 8.09/6.03 tff(17522,plain,
% 8.09/6.03 ((v100(constB117) | (~nextState(constB116, constB117)) | (~(((~v90(constB117, bitIndex2)) <=> v90(constB116, bitIndex2)) | ((~v90(constB117, bitIndex1)) <=> v90(constB116, bitIndex1)) | ((~v90(constB117, bitIndex0)) <=> v90(constB116, bitIndex0))))) <=> (v100(constB117) | (~nextState(constB116, constB117)) | (~(((~v90(constB117, bitIndex1)) <=> v90(constB116, bitIndex1)) | ((~v90(constB117, bitIndex2)) <=> v90(constB116, bitIndex2)) | ((~v90(constB117, bitIndex0)) <=> v90(constB116, bitIndex0)))))),
% 8.09/6.03 inference(rewrite,[status(thm)],[])).
% 8.09/6.03 tff(17523,plain,
% 8.09/6.03 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB117) | (~nextState(constB116, constB117)) | (~(((~v90(constB117, bitIndex2)) <=> v90(constB116, bitIndex2)) | ((~v90(constB117, bitIndex1)) <=> v90(constB116, bitIndex1)) | ((~v90(constB117, bitIndex0)) <=> v90(constB116, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB117) | (~nextState(constB116, constB117)) | (~(((~v90(constB117, bitIndex1)) <=> v90(constB116, bitIndex1)) | ((~v90(constB117, bitIndex2)) <=> v90(constB116, bitIndex2)) | ((~v90(constB117, bitIndex0)) <=> v90(constB116, bitIndex0))))))),
% 8.09/6.03 inference(monotonicity,[status(thm)],[17522])).
% 8.09/6.03 tff(17524,plain,
% 8.09/6.03 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB117) | (~nextState(constB116, constB117)) | (~(((~v90(constB117, bitIndex2)) <=> v90(constB116, bitIndex2)) | ((~v90(constB117, bitIndex1)) <=> v90(constB116, bitIndex1)) | ((~v90(constB117, bitIndex0)) <=> v90(constB116, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB117) | (~nextState(constB116, constB117)) | (~(((~v90(constB117, bitIndex1)) <=> v90(constB116, bitIndex1)) | ((~v90(constB117, bitIndex2)) <=> v90(constB116, bitIndex2)) | ((~v90(constB117, bitIndex0)) <=> v90(constB116, bitIndex0)))))),
% 8.09/6.03 inference(transitivity,[status(thm)],[17523, 17521])).
% 8.09/6.03 tff(17525,plain,
% 8.09/6.03 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB117) | (~nextState(constB116, constB117)) | (~(((~v90(constB117, bitIndex2)) <=> v90(constB116, bitIndex2)) | ((~v90(constB117, bitIndex1)) <=> v90(constB116, bitIndex1)) | ((~v90(constB117, bitIndex0)) <=> v90(constB116, bitIndex0)))))),
% 8.09/6.03 inference(quant_inst,[status(thm)],[])).
% 8.09/6.03 tff(17526,plain,
% 8.09/6.03 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB117) | (~nextState(constB116, constB117)) | (~(((~v90(constB117, bitIndex1)) <=> v90(constB116, bitIndex1)) | ((~v90(constB117, bitIndex2)) <=> v90(constB116, bitIndex2)) | ((~v90(constB117, bitIndex0)) <=> v90(constB116, bitIndex0))))),
% 8.09/6.03 inference(modus_ponens,[status(thm)],[17525, 17524])).
% 8.09/6.03 tff(17527,plain,
% 8.09/6.03 (v100(constB117) | (~(((~v90(constB117, bitIndex1)) <=> v90(constB116, bitIndex1)) | ((~v90(constB117, bitIndex2)) <=> v90(constB116, bitIndex2)) | ((~v90(constB117, bitIndex0)) <=> v90(constB116, bitIndex0))))),
% 8.09/6.03 inference(unit_resolution,[status(thm)],[17526, 10185, 494])).
% 8.09/6.03 tff(17528,plain,
% 8.09/6.03 (~(((~v90(constB117, bitIndex1)) <=> v90(constB116, bitIndex1)) | ((~v90(constB117, bitIndex2)) <=> v90(constB116, bitIndex2)) | ((~v90(constB117, bitIndex0)) <=> v90(constB116, bitIndex0)))),
% 8.09/6.03 inference(unit_resolution,[status(thm)],[17527, 17520])).
% 8.09/6.03 tff(17529,plain,
% 8.09/6.03 ((((~v90(constB117, bitIndex1)) <=> v90(constB116, bitIndex1)) | ((~v90(constB117, bitIndex2)) <=> v90(constB116, bitIndex2)) | ((~v90(constB117, bitIndex0)) <=> v90(constB116, bitIndex0))) | (~((~v90(constB117, bitIndex2)) <=> v90(constB116, bitIndex2)))),
% 8.09/6.03 inference(tautology,[status(thm)],[])).
% 8.09/6.03 tff(17530,plain,
% 8.09/6.03 (~((~v90(constB117, bitIndex2)) <=> v90(constB116, bitIndex2))),
% 8.09/6.03 inference(unit_resolution,[status(thm)],[17529, 17528])).
% 8.09/6.03 tff(17531,plain,
% 8.09/6.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB115, constB116)) | (~(((~v129(constB116, bitIndex2)) <=> v127(constB115, bitIndex2)) | ((~v129(constB116, bitIndex1)) <=> v127(constB115, bitIndex1)) | ((~v129(constB116, bitIndex0)) <=> v127(constB115, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB115, constB116)) | (~(((~v129(constB116, bitIndex2)) <=> v127(constB115, bitIndex2)) | ((~v129(constB116, bitIndex1)) <=> v127(constB115, bitIndex1)) | ((~v129(constB116, bitIndex0)) <=> v127(constB115, bitIndex0)))))),
% 8.09/6.03 inference(rewrite,[status(thm)],[])).
% 8.09/6.03 tff(17532,plain,
% 8.09/6.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB115, constB116)) | (~(((~v129(constB116, bitIndex2)) <=> v127(constB115, bitIndex2)) | ((~v129(constB116, bitIndex1)) <=> v127(constB115, bitIndex1)) | ((~v129(constB116, bitIndex0)) <=> v127(constB115, bitIndex0)))))),
% 8.09/6.03 inference(quant_inst,[status(thm)],[])).
% 8.09/6.03 tff(17533,plain,
% 8.09/6.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB115, constB116)) | (~(((~v129(constB116, bitIndex2)) <=> v127(constB115, bitIndex2)) | ((~v129(constB116, bitIndex1)) <=> v127(constB115, bitIndex1)) | ((~v129(constB116, bitIndex0)) <=> v127(constB115, bitIndex0))))),
% 8.09/6.03 inference(modus_ponens,[status(thm)],[17532, 17531])).
% 8.09/6.03 tff(17534,plain,
% 8.09/6.03 (~(((~v129(constB116, bitIndex2)) <=> v127(constB115, bitIndex2)) | ((~v129(constB116, bitIndex1)) <=> v127(constB115, bitIndex1)) | ((~v129(constB116, bitIndex0)) <=> v127(constB115, bitIndex0)))),
% 8.09/6.03 inference(unit_resolution,[status(thm)],[17533, 10231, 517])).
% 8.09/6.03 tff(17535,plain,
% 8.09/6.03 ((((~v129(constB116, bitIndex2)) <=> v127(constB115, bitIndex2)) | ((~v129(constB116, bitIndex1)) <=> v127(constB115, bitIndex1)) | ((~v129(constB116, bitIndex0)) <=> v127(constB115, bitIndex0))) | (~((~v129(constB116, bitIndex2)) <=> v127(constB115, bitIndex2)))),
% 8.09/6.03 inference(tautology,[status(thm)],[])).
% 8.09/6.03 tff(17536,plain,
% 8.09/6.03 (~((~v129(constB116, bitIndex2)) <=> v127(constB115, bitIndex2))),
% 8.09/6.03 inference(unit_resolution,[status(thm)],[17535, 17534])).
% 8.09/6.03 tff(17537,plain,
% 8.09/6.03 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB115) <=> v26(constB115))),
% 8.09/6.03 inference(quant_inst,[status(thm)],[])).
% 8.09/6.03 tff(17538,plain,
% 8.09/6.03 (v111(constB115) <=> v26(constB115)),
% 8.09/6.03 inference(unit_resolution,[status(thm)],[17537, 536])).
% 8.09/6.03 tff(17539,plain,
% 8.09/6.03 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB115))),
% 8.09/6.03 inference(quant_inst,[status(thm)],[])).
% 8.09/6.03 tff(17540,plain,
% 8.09/6.03 (~v26(constB115)),
% 8.09/6.03 inference(unit_resolution,[status(thm)],[17539, 548])).
% 8.09/6.03 tff(17541,plain,
% 8.09/6.03 ((~(v111(constB115) <=> v26(constB115))) | (~v111(constB115)) | v26(constB115)),
% 8.09/6.03 inference(tautology,[status(thm)],[])).
% 8.09/6.03 tff(17542,plain,
% 8.09/6.03 ((~(v111(constB115) <=> v26(constB115))) | (~v111(constB115))),
% 8.09/6.03 inference(unit_resolution,[status(thm)],[17541, 17540])).
% 8.09/6.03 tff(17543,plain,
% 8.09/6.03 (~v111(constB115)),
% 8.09/6.03 inference(unit_resolution,[status(thm)],[17542, 17538])).
% 8.09/6.03 tff(17544,plain,
% 8.09/6.03 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB115) | (~(((~v127(constB115, bitIndex2)) <=> v130(constB115, bitIndex2)) | ((~v127(constB115, bitIndex1)) <=> v130(constB115, bitIndex1)) | ((~v127(constB115, bitIndex0)) <=> v130(constB115, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB115) | (~(((~v127(constB115, bitIndex2)) <=> v130(constB115, bitIndex2)) | ((~v127(constB115, bitIndex1)) <=> v130(constB115, bitIndex1)) | ((~v127(constB115, bitIndex0)) <=> v130(constB115, bitIndex0)))))),
% 8.09/6.03 inference(rewrite,[status(thm)],[])).
% 8.09/6.03 tff(17545,plain,
% 8.09/6.03 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB115) | (~(((~v127(constB115, bitIndex2)) <=> v130(constB115, bitIndex2)) | ((~v127(constB115, bitIndex1)) <=> v130(constB115, bitIndex1)) | ((~v127(constB115, bitIndex0)) <=> v130(constB115, bitIndex0)))))),
% 8.09/6.03 inference(quant_inst,[status(thm)],[])).
% 8.09/6.03 tff(17546,plain,
% 8.09/6.03 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB115) | (~(((~v127(constB115, bitIndex2)) <=> v130(constB115, bitIndex2)) | ((~v127(constB115, bitIndex1)) <=> v130(constB115, bitIndex1)) | ((~v127(constB115, bitIndex0)) <=> v130(constB115, bitIndex0))))),
% 8.09/6.03 inference(modus_ponens,[status(thm)],[17545, 17544])).
% 8.09/6.03 tff(17547,plain,
% 8.09/6.03 (v111(constB115) | (~(((~v127(constB115, bitIndex2)) <=> v130(constB115, bitIndex2)) | ((~v127(constB115, bitIndex1)) <=> v130(constB115, bitIndex1)) | ((~v127(constB115, bitIndex0)) <=> v130(constB115, bitIndex0))))),
% 8.09/6.03 inference(unit_resolution,[status(thm)],[17546, 566])).
% 8.09/6.03 tff(17548,plain,
% 8.09/6.03 (~(((~v127(constB115, bitIndex2)) <=> v130(constB115, bitIndex2)) | ((~v127(constB115, bitIndex1)) <=> v130(constB115, bitIndex1)) | ((~v127(constB115, bitIndex0)) <=> v130(constB115, bitIndex0)))),
% 8.09/6.03 inference(unit_resolution,[status(thm)],[17547, 17543])).
% 8.09/6.03 tff(17549,plain,
% 8.09/6.03 ((((~v127(constB115, bitIndex2)) <=> v130(constB115, bitIndex2)) | ((~v127(constB115, bitIndex1)) <=> v130(constB115, bitIndex1)) | ((~v127(constB115, bitIndex0)) <=> v130(constB115, bitIndex0))) | (~((~v127(constB115, bitIndex2)) <=> v130(constB115, bitIndex2)))),
% 8.09/6.03 inference(tautology,[status(thm)],[])).
% 8.09/6.03 tff(17550,plain,
% 8.09/6.03 (~((~v127(constB115, bitIndex2)) <=> v130(constB115, bitIndex2))),
% 8.09/6.03 inference(unit_resolution,[status(thm)],[17549, 17548])).
% 8.09/6.03 tff(17551,plain,
% 8.09/6.03 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB115) <=> (~(v90(constB115, bitIndex1) | v90(constB115, bitIndex2) | (~v90(constB115, bitIndex0)))))),
% 8.09/6.03 inference(quant_inst,[status(thm)],[])).
% 8.09/6.03 tff(17552,plain,
% 8.09/6.03 (v120(constB115) <=> (~(v90(constB115, bitIndex1) | v90(constB115, bitIndex2) | (~v90(constB115, bitIndex0))))),
% 8.09/6.03 inference(unit_resolution,[status(thm)],[17551, 665])).
% 8.09/6.03 tff(17553,plain,
% 8.09/6.03 ((v90(constB115, bitIndex1) | v90(constB115, bitIndex2) | (~v90(constB115, bitIndex0))) | v90(constB115, bitIndex0)),
% 8.09/6.03 inference(tautology,[status(thm)],[])).
% 8.09/6.03 tff(17554,plain,
% 8.09/6.03 (v90(constB115, bitIndex1) | v90(constB115, bitIndex2) | (~v90(constB115, bitIndex0))),
% 8.09/6.03 inference(unit_resolution,[status(thm)],[17553, 14116])).
% 8.09/6.03 tff(17555,plain,
% 8.09/6.03 ((~(v120(constB115) <=> (~(v90(constB115, bitIndex1) | v90(constB115, bitIndex2) | (~v90(constB115, bitIndex0)))))) | (~v120(constB115)) | (~(v90(constB115, bitIndex1) | v90(constB115, bitIndex2) | (~v90(constB115, bitIndex0))))),
% 8.09/6.03 inference(tautology,[status(thm)],[])).
% 8.09/6.03 tff(17556,plain,
% 8.09/6.03 (~v120(constB115)),
% 8.09/6.03 inference(unit_resolution,[status(thm)],[17555, 17554, 17552])).
% 8.09/6.03 tff(17557,plain,
% 8.09/6.03 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB115) <=> (~(v90(constB115, bitIndex1) | (~v90(constB115, bitIndex2)) | (~v90(constB115, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB115) <=> (~(v90(constB115, bitIndex1) | (~v90(constB115, bitIndex2)) | (~v90(constB115, bitIndex0))))))),
% 8.09/6.03 inference(rewrite,[status(thm)],[])).
% 8.09/6.03 tff(17558,plain,
% 8.09/6.03 ((v124(constB115) <=> (~(v90(constB115, bitIndex1) | (~v90(constB115, bitIndex0)) | (~v90(constB115, bitIndex2))))) <=> (v124(constB115) <=> (~(v90(constB115, bitIndex1) | (~v90(constB115, bitIndex2)) | (~v90(constB115, bitIndex0)))))),
% 8.09/6.03 inference(rewrite,[status(thm)],[])).
% 8.09/6.03 tff(17559,plain,
% 8.09/6.03 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB115) <=> (~(v90(constB115, bitIndex1) | (~v90(constB115, bitIndex0)) | (~v90(constB115, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB115) <=> (~(v90(constB115, bitIndex1) | (~v90(constB115, bitIndex2)) | (~v90(constB115, bitIndex0))))))),
% 8.09/6.03 inference(monotonicity,[status(thm)],[17558])).
% 8.09/6.03 tff(17560,plain,
% 8.09/6.03 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB115) <=> (~(v90(constB115, bitIndex1) | (~v90(constB115, bitIndex0)) | (~v90(constB115, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB115) <=> (~(v90(constB115, bitIndex1) | (~v90(constB115, bitIndex2)) | (~v90(constB115, bitIndex0))))))),
% 8.09/6.03 inference(transitivity,[status(thm)],[17559, 17557])).
% 8.09/6.03 tff(17561,plain,
% 8.09/6.03 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB115) <=> (~(v90(constB115, bitIndex1) | (~v90(constB115, bitIndex0)) | (~v90(constB115, bitIndex2)))))),
% 8.09/6.03 inference(quant_inst,[status(thm)],[])).
% 8.09/6.03 tff(17562,plain,
% 8.09/6.03 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB115) <=> (~(v90(constB115, bitIndex1) | (~v90(constB115, bitIndex2)) | (~v90(constB115, bitIndex0)))))),
% 8.09/6.03 inference(modus_ponens,[status(thm)],[17561, 17560])).
% 8.09/6.03 tff(17563,plain,
% 8.09/6.03 (v124(constB115) <=> (~(v90(constB115, bitIndex1) | (~v90(constB115, bitIndex2)) | (~v90(constB115, bitIndex0))))),
% 8.09/6.03 inference(unit_resolution,[status(thm)],[17562, 3613])).
% 8.09/6.03 tff(17564,plain,
% 8.09/6.03 ((v90(constB115, bitIndex1) | (~v90(constB115, bitIndex2)) | (~v90(constB115, bitIndex0))) | v90(constB115, bitIndex0)),
% 8.09/6.03 inference(tautology,[status(thm)],[])).
% 8.09/6.03 tff(17565,plain,
% 8.09/6.03 (v90(constB115, bitIndex1) | (~v90(constB115, bitIndex2)) | (~v90(constB115, bitIndex0))),
% 8.09/6.03 inference(unit_resolution,[status(thm)],[17564, 14116])).
% 8.09/6.03 tff(17566,plain,
% 8.09/6.03 ((~(v124(constB115) <=> (~(v90(constB115, bitIndex1) | (~v90(constB115, bitIndex2)) | (~v90(constB115, bitIndex0)))))) | (~v124(constB115)) | (~(v90(constB115, bitIndex1) | (~v90(constB115, bitIndex2)) | (~v90(constB115, bitIndex0))))),
% 8.09/6.03 inference(tautology,[status(thm)],[])).
% 8.09/6.03 tff(17567,plain,
% 8.09/6.03 (~v124(constB115)),
% 8.09/6.03 inference(unit_resolution,[status(thm)],[17566, 17565, 17563])).
% 8.09/6.03 tff(17568,plain,
% 8.09/6.03 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB115) <=> (~(v90(constB115, bitIndex1) | v90(constB115, bitIndex0) | (~v90(constB115, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB115) <=> (~(v90(constB115, bitIndex1) | v90(constB115, bitIndex0) | (~v90(constB115, bitIndex2))))))),
% 8.09/6.03 inference(rewrite,[status(thm)],[])).
% 8.09/6.03 tff(17569,plain,
% 8.09/6.03 ((v123(constB115) <=> (~(v90(constB115, bitIndex0) | v90(constB115, bitIndex1) | (~v90(constB115, bitIndex2))))) <=> (v123(constB115) <=> (~(v90(constB115, bitIndex1) | v90(constB115, bitIndex0) | (~v90(constB115, bitIndex2)))))),
% 8.09/6.03 inference(rewrite,[status(thm)],[])).
% 8.09/6.03 tff(17570,plain,
% 8.09/6.03 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB115) <=> (~(v90(constB115, bitIndex0) | v90(constB115, bitIndex1) | (~v90(constB115, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB115) <=> (~(v90(constB115, bitIndex1) | v90(constB115, bitIndex0) | (~v90(constB115, bitIndex2))))))),
% 8.09/6.03 inference(monotonicity,[status(thm)],[17569])).
% 8.09/6.03 tff(17571,plain,
% 8.09/6.03 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB115) <=> (~(v90(constB115, bitIndex0) | v90(constB115, bitIndex1) | (~v90(constB115, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB115) <=> (~(v90(constB115, bitIndex1) | v90(constB115, bitIndex0) | (~v90(constB115, bitIndex2))))))),
% 8.09/6.03 inference(transitivity,[status(thm)],[17570, 17568])).
% 8.09/6.03 tff(17572,plain,
% 8.09/6.03 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB115) <=> (~(v90(constB115, bitIndex0) | v90(constB115, bitIndex1) | (~v90(constB115, bitIndex2)))))),
% 8.09/6.03 inference(quant_inst,[status(thm)],[])).
% 8.09/6.03 tff(17573,plain,
% 8.09/6.03 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB115) <=> (~(v90(constB115, bitIndex1) | v90(constB115, bitIndex0) | (~v90(constB115, bitIndex2)))))),
% 8.09/6.03 inference(modus_ponens,[status(thm)],[17572, 17571])).
% 8.09/6.03 tff(17574,plain,
% 8.09/6.03 (v123(constB115) <=> (~(v90(constB115, bitIndex1) | v90(constB115, bitIndex0) | (~v90(constB115, bitIndex2))))),
% 8.09/6.03 inference(unit_resolution,[status(thm)],[17573, 800])).
% 8.09/6.03 tff(17575,plain,
% 8.09/6.03 ((v90(constB115, bitIndex1) | v90(constB115, bitIndex0) | (~v90(constB115, bitIndex2))) | (~v90(constB115, bitIndex1))),
% 8.09/6.03 inference(tautology,[status(thm)],[])).
% 8.09/6.03 tff(17576,plain,
% 8.09/6.03 (v90(constB115, bitIndex1) | v90(constB115, bitIndex0) | (~v90(constB115, bitIndex2))),
% 8.09/6.03 inference(unit_resolution,[status(thm)],[17575, 14138])).
% 8.09/6.03 tff(17577,plain,
% 8.09/6.03 ((~(v123(constB115) <=> (~(v90(constB115, bitIndex1) | v90(constB115, bitIndex0) | (~v90(constB115, bitIndex2)))))) | (~v123(constB115)) | (~(v90(constB115, bitIndex1) | v90(constB115, bitIndex0) | (~v90(constB115, bitIndex2))))),
% 8.09/6.03 inference(tautology,[status(thm)],[])).
% 8.09/6.03 tff(17578,plain,
% 8.09/6.03 (~v123(constB115)),
% 8.09/6.03 inference(unit_resolution,[status(thm)],[17577, 17576, 17574])).
% 8.09/6.03 tff(17579,plain,
% 8.09/6.03 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB115) <=> (~(v90(constB115, bitIndex2) | (~v90(constB115, bitIndex1)) | (~v90(constB115, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB115) <=> (~(v90(constB115, bitIndex2) | (~v90(constB115, bitIndex1)) | (~v90(constB115, bitIndex0))))))),
% 8.09/6.03 inference(rewrite,[status(thm)],[])).
% 8.09/6.03 tff(17580,plain,
% 8.09/6.03 ((v122(constB115) <=> (~(v90(constB115, bitIndex2) | (~v90(constB115, bitIndex0)) | (~v90(constB115, bitIndex1))))) <=> (v122(constB115) <=> (~(v90(constB115, bitIndex2) | (~v90(constB115, bitIndex1)) | (~v90(constB115, bitIndex0)))))),
% 8.09/6.03 inference(rewrite,[status(thm)],[])).
% 8.09/6.03 tff(17581,plain,
% 8.09/6.03 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB115) <=> (~(v90(constB115, bitIndex2) | (~v90(constB115, bitIndex0)) | (~v90(constB115, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB115) <=> (~(v90(constB115, bitIndex2) | (~v90(constB115, bitIndex1)) | (~v90(constB115, bitIndex0))))))),
% 8.09/6.03 inference(monotonicity,[status(thm)],[17580])).
% 8.09/6.03 tff(17582,plain,
% 8.09/6.03 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB115) <=> (~(v90(constB115, bitIndex2) | (~v90(constB115, bitIndex0)) | (~v90(constB115, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB115) <=> (~(v90(constB115, bitIndex2) | (~v90(constB115, bitIndex1)) | (~v90(constB115, bitIndex0))))))),
% 8.09/6.03 inference(transitivity,[status(thm)],[17581, 17579])).
% 8.09/6.03 tff(17583,plain,
% 8.09/6.03 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB115) <=> (~(v90(constB115, bitIndex2) | (~v90(constB115, bitIndex0)) | (~v90(constB115, bitIndex1)))))),
% 8.09/6.03 inference(quant_inst,[status(thm)],[])).
% 8.09/6.03 tff(17584,plain,
% 8.09/6.03 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB115) <=> (~(v90(constB115, bitIndex2) | (~v90(constB115, bitIndex1)) | (~v90(constB115, bitIndex0)))))),
% 8.09/6.03 inference(modus_ponens,[status(thm)],[17583, 17582])).
% 8.09/6.03 tff(17585,plain,
% 8.09/6.03 (v122(constB115) <=> (~(v90(constB115, bitIndex2) | (~v90(constB115, bitIndex1)) | (~v90(constB115, bitIndex0))))),
% 8.09/6.03 inference(unit_resolution,[status(thm)],[17584, 879])).
% 8.09/6.04 tff(17586,plain,
% 8.09/6.04 ((v90(constB115, bitIndex2) | (~v90(constB115, bitIndex1)) | (~v90(constB115, bitIndex0))) | v90(constB115, bitIndex0)),
% 8.09/6.04 inference(tautology,[status(thm)],[])).
% 8.09/6.04 tff(17587,plain,
% 8.09/6.04 (v90(constB115, bitIndex2) | (~v90(constB115, bitIndex1)) | (~v90(constB115, bitIndex0))),
% 8.09/6.04 inference(unit_resolution,[status(thm)],[17586, 14116])).
% 8.09/6.04 tff(17588,plain,
% 8.09/6.04 ((~(v122(constB115) <=> (~(v90(constB115, bitIndex2) | (~v90(constB115, bitIndex1)) | (~v90(constB115, bitIndex0)))))) | (~v122(constB115)) | (~(v90(constB115, bitIndex2) | (~v90(constB115, bitIndex1)) | (~v90(constB115, bitIndex0))))),
% 8.09/6.04 inference(tautology,[status(thm)],[])).
% 8.09/6.04 tff(17589,plain,
% 8.09/6.04 (~v122(constB115)),
% 8.09/6.04 inference(unit_resolution,[status(thm)],[17588, 17587, 17585])).
% 8.09/6.04 tff(17590,plain,
% 8.09/6.04 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB115) <=> (~(v90(constB115, bitIndex2) | v90(constB115, bitIndex0) | (~v90(constB115, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB115) <=> (~(v90(constB115, bitIndex2) | v90(constB115, bitIndex0) | (~v90(constB115, bitIndex1))))))),
% 8.09/6.04 inference(rewrite,[status(thm)],[])).
% 8.09/6.04 tff(17591,plain,
% 8.09/6.04 ((v121(constB115) <=> (~(v90(constB115, bitIndex0) | v90(constB115, bitIndex2) | (~v90(constB115, bitIndex1))))) <=> (v121(constB115) <=> (~(v90(constB115, bitIndex2) | v90(constB115, bitIndex0) | (~v90(constB115, bitIndex1)))))),
% 8.09/6.04 inference(rewrite,[status(thm)],[])).
% 8.09/6.04 tff(17592,plain,
% 8.09/6.04 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB115) <=> (~(v90(constB115, bitIndex0) | v90(constB115, bitIndex2) | (~v90(constB115, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB115) <=> (~(v90(constB115, bitIndex2) | v90(constB115, bitIndex0) | (~v90(constB115, bitIndex1))))))),
% 8.09/6.04 inference(monotonicity,[status(thm)],[17591])).
% 8.09/6.04 tff(17593,plain,
% 8.09/6.04 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB115) <=> (~(v90(constB115, bitIndex0) | v90(constB115, bitIndex2) | (~v90(constB115, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB115) <=> (~(v90(constB115, bitIndex2) | v90(constB115, bitIndex0) | (~v90(constB115, bitIndex1))))))),
% 8.09/6.04 inference(transitivity,[status(thm)],[17592, 17590])).
% 8.09/6.04 tff(17594,plain,
% 8.09/6.04 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB115) <=> (~(v90(constB115, bitIndex0) | v90(constB115, bitIndex2) | (~v90(constB115, bitIndex1)))))),
% 8.09/6.04 inference(quant_inst,[status(thm)],[])).
% 8.09/6.04 tff(17595,plain,
% 8.09/6.04 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB115) <=> (~(v90(constB115, bitIndex2) | v90(constB115, bitIndex0) | (~v90(constB115, bitIndex1)))))),
% 8.09/6.04 inference(modus_ponens,[status(thm)],[17594, 17593])).
% 8.09/6.04 tff(17596,plain,
% 8.09/6.04 (v121(constB115) <=> (~(v90(constB115, bitIndex2) | v90(constB115, bitIndex0) | (~v90(constB115, bitIndex1))))),
% 8.09/6.04 inference(unit_resolution,[status(thm)],[17595, 586])).
% 8.09/6.04 tff(17597,plain,
% 8.09/6.04 ((v90(constB115, bitIndex2) | v90(constB115, bitIndex0) | (~v90(constB115, bitIndex1))) | (~v90(constB115, bitIndex2))),
% 8.09/6.04 inference(tautology,[status(thm)],[])).
% 8.09/6.04 tff(17598,plain,
% 8.09/6.04 (v90(constB115, bitIndex2) | v90(constB115, bitIndex0) | (~v90(constB115, bitIndex1))),
% 8.09/6.04 inference(unit_resolution,[status(thm)],[17597, 14094])).
% 8.09/6.04 tff(17599,plain,
% 8.09/6.04 ((~(v121(constB115) <=> (~(v90(constB115, bitIndex2) | v90(constB115, bitIndex0) | (~v90(constB115, bitIndex1)))))) | (~v121(constB115)) | (~(v90(constB115, bitIndex2) | v90(constB115, bitIndex0) | (~v90(constB115, bitIndex1))))),
% 8.09/6.04 inference(tautology,[status(thm)],[])).
% 8.09/6.04 tff(17600,plain,
% 8.09/6.04 (~v121(constB115)),
% 8.09/6.04 inference(unit_resolution,[status(thm)],[17599, 17598, 17596])).
% 8.09/6.04 tff(17601,plain,
% 8.09/6.04 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB115) <=> (~(v90(constB115, bitIndex0) | v90(constB115, bitIndex1) | v90(constB115, bitIndex2))))),
% 8.09/6.04 inference(quant_inst,[status(thm)],[])).
% 8.09/6.04 tff(17602,plain,
% 8.09/6.04 (v119(constB115) <=> (~(v90(constB115, bitIndex0) | v90(constB115, bitIndex1) | v90(constB115, bitIndex2)))),
% 8.09/6.04 inference(unit_resolution,[status(thm)],[17601, 1085])).
% 8.09/6.04 tff(17603,plain,
% 8.09/6.04 ((v90(constB115, bitIndex0) | v90(constB115, bitIndex1) | v90(constB115, bitIndex2)) | (~v90(constB115, bitIndex2))),
% 8.09/6.04 inference(tautology,[status(thm)],[])).
% 8.09/6.04 tff(17604,plain,
% 8.09/6.04 (v90(constB115, bitIndex0) | v90(constB115, bitIndex1) | v90(constB115, bitIndex2)),
% 8.09/6.04 inference(unit_resolution,[status(thm)],[17603, 14094])).
% 8.09/6.04 tff(17605,plain,
% 8.09/6.04 ((~(v119(constB115) <=> (~(v90(constB115, bitIndex0) | v90(constB115, bitIndex1) | v90(constB115, bitIndex2))))) | (~v119(constB115)) | (~(v90(constB115, bitIndex0) | v90(constB115, bitIndex1) | v90(constB115, bitIndex2)))),
% 8.09/6.04 inference(tautology,[status(thm)],[])).
% 8.09/6.04 tff(17606,plain,
% 8.09/6.04 (~v119(constB115)),
% 8.09/6.04 inference(unit_resolution,[status(thm)],[17605, 17604, 17602])).
% 8.09/6.04 tff(17607,plain,
% 8.09/6.04 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v119(constB115) | v120(constB115) | v121(constB115) | v122(constB115) | v123(constB115) | v124(constB115) | (~(v130(constB115, bitIndex2) | v130(constB115, bitIndex1) | (~v130(constB115, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | v119(constB115) | v120(constB115) | v121(constB115) | v122(constB115) | v123(constB115) | v124(constB115) | (~(v130(constB115, bitIndex2) | v130(constB115, bitIndex1) | (~v130(constB115, bitIndex0)))))),
% 8.09/6.04 inference(rewrite,[status(thm)],[])).
% 8.09/6.04 tff(17608,plain,
% 8.09/6.04 ((v124(constB115) | v123(constB115) | v122(constB115) | v121(constB115) | v120(constB115) | v119(constB115) | (~(v130(constB115, bitIndex2) | v130(constB115, bitIndex1) | (~v130(constB115, bitIndex0))))) <=> (v119(constB115) | v120(constB115) | v121(constB115) | v122(constB115) | v123(constB115) | v124(constB115) | (~(v130(constB115, bitIndex2) | v130(constB115, bitIndex1) | (~v130(constB115, bitIndex0)))))),
% 8.09/6.04 inference(rewrite,[status(thm)],[])).
% 8.09/6.04 tff(17609,plain,
% 8.09/6.04 ((~(v130(constB115, bitIndex1) | v130(constB115, bitIndex2) | (~v130(constB115, bitIndex0)))) <=> (~(v130(constB115, bitIndex2) | v130(constB115, bitIndex1) | (~v130(constB115, bitIndex0))))),
% 8.09/6.04 inference(rewrite,[status(thm)],[])).
% 8.09/6.04 tff(17610,plain,
% 8.09/6.04 ((v124(constB115) | v123(constB115) | v122(constB115) | v121(constB115) | v120(constB115) | v119(constB115) | (~(v130(constB115, bitIndex1) | v130(constB115, bitIndex2) | (~v130(constB115, bitIndex0))))) <=> (v124(constB115) | v123(constB115) | v122(constB115) | v121(constB115) | v120(constB115) | v119(constB115) | (~(v130(constB115, bitIndex2) | v130(constB115, bitIndex1) | (~v130(constB115, bitIndex0)))))),
% 8.09/6.04 inference(monotonicity,[status(thm)],[17609])).
% 8.09/6.04 tff(17611,plain,
% 8.09/6.04 ((v124(constB115) | v123(constB115) | v122(constB115) | v121(constB115) | v120(constB115) | v119(constB115) | (~(v130(constB115, bitIndex1) | v130(constB115, bitIndex2) | (~v130(constB115, bitIndex0))))) <=> (v119(constB115) | v120(constB115) | v121(constB115) | v122(constB115) | v123(constB115) | v124(constB115) | (~(v130(constB115, bitIndex2) | v130(constB115, bitIndex1) | (~v130(constB115, bitIndex0)))))),
% 8.09/6.04 inference(transitivity,[status(thm)],[17610, 17608])).
% 8.09/6.04 tff(17612,plain,
% 8.09/6.04 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB115) | v123(constB115) | v122(constB115) | v121(constB115) | v120(constB115) | v119(constB115) | (~(v130(constB115, bitIndex1) | v130(constB115, bitIndex2) | (~v130(constB115, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v119(constB115) | v120(constB115) | v121(constB115) | v122(constB115) | v123(constB115) | v124(constB115) | (~(v130(constB115, bitIndex2) | v130(constB115, bitIndex1) | (~v130(constB115, bitIndex0))))))),
% 8.09/6.04 inference(monotonicity,[status(thm)],[17611])).
% 8.09/6.04 tff(17613,plain,
% 8.09/6.04 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB115) | v123(constB115) | v122(constB115) | v121(constB115) | v120(constB115) | v119(constB115) | (~(v130(constB115, bitIndex1) | v130(constB115, bitIndex2) | (~v130(constB115, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | v119(constB115) | v120(constB115) | v121(constB115) | v122(constB115) | v123(constB115) | v124(constB115) | (~(v130(constB115, bitIndex2) | v130(constB115, bitIndex1) | (~v130(constB115, bitIndex0)))))),
% 8.09/6.04 inference(transitivity,[status(thm)],[17612, 17607])).
% 8.09/6.04 tff(17614,plain,
% 8.09/6.04 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB115) | v123(constB115) | v122(constB115) | v121(constB115) | v120(constB115) | v119(constB115) | (~(v130(constB115, bitIndex1) | v130(constB115, bitIndex2) | (~v130(constB115, bitIndex0)))))),
% 8.09/6.04 inference(quant_inst,[status(thm)],[])).
% 8.09/6.04 tff(17615,plain,
% 8.09/6.04 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | v119(constB115) | v120(constB115) | v121(constB115) | v122(constB115) | v123(constB115) | v124(constB115) | (~(v130(constB115, bitIndex2) | v130(constB115, bitIndex1) | (~v130(constB115, bitIndex0))))),
% 8.09/6.04 inference(modus_ponens,[status(thm)],[17614, 17613])).
% 8.09/6.04 tff(17616,plain,
% 8.09/6.04 (v119(constB115) | v120(constB115) | v121(constB115) | v122(constB115) | v123(constB115) | v124(constB115) | (~(v130(constB115, bitIndex2) | v130(constB115, bitIndex1) | (~v130(constB115, bitIndex0))))),
% 8.09/6.04 inference(unit_resolution,[status(thm)],[17615, 3694])).
% 8.09/6.04 tff(17617,plain,
% 8.09/6.04 (~(v130(constB115, bitIndex2) | v130(constB115, bitIndex1) | (~v130(constB115, bitIndex0)))),
% 8.09/6.04 inference(unit_resolution,[status(thm)],[17616, 17606, 17600, 17589, 17578, 17567, 17556])).
% 8.09/6.04 tff(17618,plain,
% 8.09/6.04 ((v130(constB115, bitIndex2) | v130(constB115, bitIndex1) | (~v130(constB115, bitIndex0))) | (~v130(constB115, bitIndex2))),
% 8.09/6.04 inference(tautology,[status(thm)],[])).
% 8.09/6.04 tff(17619,plain,
% 8.09/6.04 (~v130(constB115, bitIndex2)),
% 8.09/6.04 inference(unit_resolution,[status(thm)],[17618, 17617])).
% 8.09/6.04 tff(17620,plain,
% 8.09/6.04 (((~v127(constB115, bitIndex2)) <=> v130(constB115, bitIndex2)) | (~v127(constB115, bitIndex2)) | v130(constB115, bitIndex2)),
% 8.09/6.04 inference(tautology,[status(thm)],[])).
% 8.09/6.04 tff(17621,plain,
% 8.09/6.04 (~v127(constB115, bitIndex2)),
% 8.09/6.04 inference(unit_resolution,[status(thm)],[17620, 17619, 17550])).
% 8.09/6.04 tff(17622,plain,
% 8.09/6.04 (((~v129(constB116, bitIndex2)) <=> v127(constB115, bitIndex2)) | (~v129(constB116, bitIndex2)) | v127(constB115, bitIndex2)),
% 8.09/6.04 inference(tautology,[status(thm)],[])).
% 8.09/6.04 tff(17623,plain,
% 8.09/6.04 (~v129(constB116, bitIndex2)),
% 8.09/6.04 inference(unit_resolution,[status(thm)],[17622, 17621, 17536])).
% 8.09/6.04 tff(17624,plain,
% 8.09/6.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB115, constB116)) | (v100(constB116) <=> (~((~v101(constB116)) | (~v110(constB116))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB115, constB116)) | (v100(constB116) <=> (~((~v101(constB116)) | (~v110(constB116))))))),
% 8.09/6.04 inference(rewrite,[status(thm)],[])).
% 8.09/6.04 tff(17625,plain,
% 8.09/6.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB115, constB116)) | (v100(constB116) <=> (~((~v101(constB116)) | (~v110(constB116))))))),
% 8.09/6.04 inference(quant_inst,[status(thm)],[])).
% 8.09/6.04 tff(17626,plain,
% 8.09/6.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB115, constB116)) | (v100(constB116) <=> (~((~v101(constB116)) | (~v110(constB116)))))),
% 8.09/6.04 inference(modus_ponens,[status(thm)],[17625, 17624])).
% 8.09/6.04 tff(17627,plain,
% 8.09/6.04 (v100(constB116) <=> (~((~v101(constB116)) | (~v110(constB116))))),
% 8.09/6.04 inference(unit_resolution,[status(thm)],[17626, 10231, 445])).
% 8.09/6.04 tff(17628,plain,
% 8.09/6.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB115, constB116)) | (v101(constB116) <=> (~((~v1(constB116)) | (~v102(constB116))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB115, constB116)) | (v101(constB116) <=> (~((~v1(constB116)) | (~v102(constB116))))))),
% 8.09/6.04 inference(rewrite,[status(thm)],[])).
% 8.09/6.04 tff(17629,plain,
% 8.09/6.04 (((~nextState(constB115, constB116)) | (v101(constB116) <=> (~((~v102(constB116)) | (~v1(constB116)))))) <=> ((~nextState(constB115, constB116)) | (v101(constB116) <=> (~((~v1(constB116)) | (~v102(constB116))))))),
% 8.09/6.04 inference(rewrite,[status(thm)],[])).
% 8.09/6.04 tff(17630,plain,
% 8.09/6.04 (((~![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) <=> (~((~v1(constB116)) | (~v102(constB116)))))))),
% 8.09/6.04 inference(monotonicity,[status(thm)],[17629])).
% 8.09/6.04 tff(17631,plain,
% 8.09/6.04 (((~![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) <=> (~((~v1(constB116)) | (~v102(constB116))))))),
% 8.09/6.04 inference(transitivity,[status(thm)],[17630, 17628])).
% 8.09/6.04 tff(17632,plain,
% 8.09/6.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB115, constB116)) | (v101(constB116) <=> (~((~v102(constB116)) | (~v1(constB116))))))),
% 8.09/6.04 inference(quant_inst,[status(thm)],[])).
% 8.09/6.04 tff(17633,plain,
% 8.09/6.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB115, constB116)) | (v101(constB116) <=> (~((~v1(constB116)) | (~v102(constB116)))))),
% 8.09/6.04 inference(modus_ponens,[status(thm)],[17632, 17631])).
% 8.09/6.04 tff(17634,plain,
% 8.09/6.04 (v101(constB116) <=> (~((~v1(constB116)) | (~v102(constB116))))),
% 8.09/6.04 inference(unit_resolution,[status(thm)],[17633, 10231, 465])).
% 8.09/6.04 tff(17635,plain,
% 8.09/6.04 (((~![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)))),
% 8.09/6.04 inference(rewrite,[status(thm)],[])).
% 8.09/6.04 tff(17636,plain,
% 8.09/6.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB115, constB116)) | ((~v102(constB116)) <=> v104(constB116)))),
% 8.09/6.04 inference(quant_inst,[status(thm)],[])).
% 8.09/6.04 tff(17637,plain,
% 8.09/6.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB115, constB116)) | ((~v102(constB116)) <=> v104(constB116))),
% 8.09/6.04 inference(modus_ponens,[status(thm)],[17636, 17635])).
% 8.09/6.04 tff(17638,plain,
% 8.09/6.04 ((~v102(constB116)) <=> v104(constB116)),
% 8.09/6.04 inference(unit_resolution,[status(thm)],[17637, 10231, 3244])).
% 8.09/6.04 tff(17639,plain,
% 8.09/6.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB115, constB116)) | (v104(constB116) <=> v1(constB115)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB115, constB116)) | (v104(constB116) <=> v1(constB115)))),
% 8.09/6.04 inference(rewrite,[status(thm)],[])).
% 8.09/6.04 tff(17640,plain,
% 8.09/6.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB115, constB116)) | (v104(constB116) <=> v1(constB115)))),
% 8.09/6.04 inference(quant_inst,[status(thm)],[])).
% 8.09/6.04 tff(17641,plain,
% 8.09/6.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB115, constB116)) | (v104(constB116) <=> v1(constB115))),
% 8.09/6.04 inference(modus_ponens,[status(thm)],[17640, 17639])).
% 8.09/6.04 tff(17642,plain,
% 8.09/6.04 (v104(constB116) <=> v1(constB115)),
% 8.09/6.04 inference(unit_resolution,[status(thm)],[17641, 10231, 3258])).
% 8.09/6.04 tff(17643,plain,
% 8.09/6.04 ((~(v104(constB116) <=> v1(constB115))) | (~v104(constB116)) | v1(constB115)),
% 8.09/6.04 inference(tautology,[status(thm)],[])).
% 8.09/6.04 tff(17644,plain,
% 8.09/6.04 ((~(v104(constB116) <=> v1(constB115))) | (~v104(constB116))),
% 8.09/6.04 inference(unit_resolution,[status(thm)],[17643, 10295])).
% 8.09/6.04 tff(17645,plain,
% 8.09/6.04 (~v104(constB116)),
% 8.09/6.04 inference(unit_resolution,[status(thm)],[17644, 17642])).
% 8.09/6.04 tff(17646,plain,
% 8.09/6.04 ((~((~v102(constB116)) <=> v104(constB116))) | v102(constB116) | v104(constB116)),
% 8.09/6.04 inference(tautology,[status(thm)],[])).
% 8.09/6.04 tff(17647,plain,
% 8.09/6.04 (v102(constB116)),
% 8.09/6.04 inference(unit_resolution,[status(thm)],[17646, 17645, 17638])).
% 8.09/6.04 tff(17648,plain,
% 8.09/6.04 ((~((~v1(constB116)) | (~v102(constB116)))) | (~v1(constB116)) | (~v102(constB116))),
% 8.09/6.04 inference(tautology,[status(thm)],[])).
% 8.09/6.04 tff(17649,plain,
% 8.09/6.04 ((~((~v1(constB116)) | (~v102(constB116)))) | (~v102(constB116))),
% 8.09/6.04 inference(unit_resolution,[status(thm)],[17648, 10202])).
% 8.09/6.04 tff(17650,plain,
% 8.09/6.04 (~((~v1(constB116)) | (~v102(constB116)))),
% 8.09/6.04 inference(unit_resolution,[status(thm)],[17649, 17647])).
% 8.09/6.04 tff(17651,plain,
% 8.09/6.04 ((~(v101(constB116) <=> (~((~v1(constB116)) | (~v102(constB116)))))) | v101(constB116) | ((~v1(constB116)) | (~v102(constB116)))),
% 8.09/6.04 inference(tautology,[status(thm)],[])).
% 8.09/6.04 tff(17652,plain,
% 8.09/6.04 (v101(constB116)),
% 8.09/6.04 inference(unit_resolution,[status(thm)],[17651, 17650, 17634])).
% 8.09/6.04 tff(17653,plain,
% 8.09/6.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB115, constB116)) | (v110(constB116) <=> v108(constB115)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB115, constB116)) | (v110(constB116) <=> v108(constB115)))),
% 8.09/6.04 inference(rewrite,[status(thm)],[])).
% 8.09/6.04 tff(17654,plain,
% 8.09/6.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB115, constB116)) | (v110(constB116) <=> v108(constB115)))),
% 8.09/6.04 inference(quant_inst,[status(thm)],[])).
% 8.09/6.04 tff(17655,plain,
% 8.09/6.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB115, constB116)) | (v110(constB116) <=> v108(constB115))),
% 8.09/6.04 inference(modus_ponens,[status(thm)],[17654, 17653])).
% 8.09/6.04 tff(17656,plain,
% 8.09/6.04 (v110(constB116) <=> v108(constB115)),
% 8.09/6.04 inference(unit_resolution,[status(thm)],[17655, 10231, 3285])).
% 8.09/6.04 tff(17657,plain,
% 8.09/6.04 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB115) <=> (v111(constB115) | v112(constB115)))),
% 8.09/6.04 inference(quant_inst,[status(thm)],[])).
% 8.09/6.04 tff(17658,plain,
% 8.09/6.04 (v108(constB115) <=> (v111(constB115) | v112(constB115))),
% 8.09/6.04 inference(unit_resolution,[status(thm)],[17657, 3296])).
% 8.09/6.04 tff(17659,plain,
% 8.09/6.04 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB115) <=> (~((~v113(constB115)) | (~v126(constB115)))))),
% 8.09/6.04 inference(quant_inst,[status(thm)],[])).
% 8.09/6.04 tff(17660,plain,
% 8.09/6.04 (v112(constB115) <=> (~((~v113(constB115)) | (~v126(constB115))))),
% 8.09/6.04 inference(unit_resolution,[status(thm)],[17659, 3308])).
% 8.09/6.04 tff(17661,plain,
% 8.09/6.04 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB115) <=> (v114(constB115) | v125(constB115)))),
% 8.09/6.04 inference(quant_inst,[status(thm)],[])).
% 8.09/6.04 tff(17662,plain,
% 8.09/6.04 (v113(constB115) <=> (v114(constB115) | v125(constB115))),
% 8.09/6.04 inference(unit_resolution,[status(thm)],[17661, 3317])).
% 8.09/6.04 tff(17663,plain,
% 8.09/6.04 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB115) <=> (~(v90(constB115, bitIndex0) | (~v90(constB115, bitIndex1)) | (~v90(constB115, bitIndex2)))))),
% 8.09/6.04 inference(quant_inst,[status(thm)],[])).
% 8.09/6.04 tff(17664,plain,
% 8.09/6.04 (v125(constB115) <=> (~(v90(constB115, bitIndex0) | (~v90(constB115, bitIndex1)) | (~v90(constB115, bitIndex2))))),
% 8.09/6.04 inference(unit_resolution,[status(thm)],[17663, 3766])).
% 8.09/6.04 tff(17665,plain,
% 8.09/6.04 ((~(v90(constB115, bitIndex0) | (~v90(constB115, bitIndex1)) | (~v90(constB115, bitIndex2)))) | v90(constB115, bitIndex0) | (~v90(constB115, bitIndex1)) | (~v90(constB115, bitIndex2))),
% 8.09/6.04 inference(tautology,[status(thm)],[])).
% 8.09/6.04 tff(17666,plain,
% 8.09/6.04 (~(v90(constB115, bitIndex0) | (~v90(constB115, bitIndex1)) | (~v90(constB115, bitIndex2)))),
% 8.09/6.04 inference(unit_resolution,[status(thm)],[17665, 14138, 14116, 14094])).
% 8.09/6.04 tff(17667,plain,
% 8.09/6.04 ((~(v125(constB115) <=> (~(v90(constB115, bitIndex0) | (~v90(constB115, bitIndex1)) | (~v90(constB115, bitIndex2)))))) | v125(constB115) | (v90(constB115, bitIndex0) | (~v90(constB115, bitIndex1)) | (~v90(constB115, bitIndex2)))),
% 8.09/6.04 inference(tautology,[status(thm)],[])).
% 8.09/6.04 tff(17668,plain,
% 8.09/6.04 (v125(constB115)),
% 8.09/6.04 inference(unit_resolution,[status(thm)],[17667, 17666, 17664])).
% 8.09/6.04 tff(17669,plain,
% 8.09/6.04 ((v114(constB115) | v125(constB115)) | (~v125(constB115))),
% 8.09/6.04 inference(tautology,[status(thm)],[])).
% 8.09/6.04 tff(17670,plain,
% 8.09/6.04 (v114(constB115) | v125(constB115)),
% 8.09/6.04 inference(unit_resolution,[status(thm)],[17669, 17668])).
% 8.09/6.04 tff(17671,plain,
% 8.09/6.04 ((~(v113(constB115) <=> (v114(constB115) | v125(constB115)))) | v113(constB115) | (~(v114(constB115) | v125(constB115)))),
% 8.09/6.04 inference(tautology,[status(thm)],[])).
% 8.09/6.04 tff(17672,plain,
% 8.09/6.04 (v113(constB115)),
% 8.09/6.04 inference(unit_resolution,[status(thm)],[17671, 17670, 17662])).
% 8.09/6.04 tff(17673,plain,
% 8.09/6.04 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB115)) <=> v111(constB115))),
% 8.09/6.04 inference(quant_inst,[status(thm)],[])).
% 8.09/6.04 tff(17674,plain,
% 8.09/6.04 ((~v126(constB115)) <=> v111(constB115)),
% 8.09/6.04 inference(unit_resolution,[status(thm)],[17673, 3396])).
% 8.09/6.04 tff(17675,plain,
% 8.09/6.04 ((~((~v126(constB115)) <=> v111(constB115))) | v126(constB115) | v111(constB115)),
% 8.09/6.04 inference(tautology,[status(thm)],[])).
% 8.09/6.04 tff(17676,plain,
% 8.09/6.04 ((~((~v126(constB115)) <=> v111(constB115))) | v126(constB115)),
% 8.09/6.04 inference(unit_resolution,[status(thm)],[17675, 17543])).
% 8.09/6.04 tff(17677,plain,
% 8.09/6.04 (v126(constB115)),
% 8.09/6.04 inference(unit_resolution,[status(thm)],[17676, 17674])).
% 8.09/6.04 tff(17678,plain,
% 8.09/6.04 ((~((~v113(constB115)) | (~v126(constB115)))) | (~v113(constB115)) | (~v126(constB115))),
% 8.09/6.04 inference(tautology,[status(thm)],[])).
% 8.09/6.04 tff(17679,plain,
% 8.09/6.04 ((~((~v113(constB115)) | (~v126(constB115)))) | (~v113(constB115))),
% 8.09/6.04 inference(unit_resolution,[status(thm)],[17678, 17677])).
% 8.09/6.04 tff(17680,plain,
% 8.09/6.04 (~((~v113(constB115)) | (~v126(constB115)))),
% 8.09/6.04 inference(unit_resolution,[status(thm)],[17679, 17672])).
% 8.09/6.04 tff(17681,plain,
% 8.09/6.04 ((~(v112(constB115) <=> (~((~v113(constB115)) | (~v126(constB115)))))) | v112(constB115) | ((~v113(constB115)) | (~v126(constB115)))),
% 8.09/6.04 inference(tautology,[status(thm)],[])).
% 8.09/6.04 tff(17682,plain,
% 8.09/6.04 (v112(constB115)),
% 8.09/6.04 inference(unit_resolution,[status(thm)],[17681, 17680, 17660])).
% 8.09/6.04 tff(17683,plain,
% 8.09/6.04 ((v111(constB115) | v112(constB115)) | (~v112(constB115))),
% 8.09/6.04 inference(tautology,[status(thm)],[])).
% 8.09/6.04 tff(17684,plain,
% 8.09/6.04 (v111(constB115) | v112(constB115)),
% 8.09/6.04 inference(unit_resolution,[status(thm)],[17683, 17682])).
% 8.09/6.04 tff(17685,plain,
% 8.09/6.04 ((~(v108(constB115) <=> (v111(constB115) | v112(constB115)))) | v108(constB115) | (~(v111(constB115) | v112(constB115)))),
% 8.09/6.04 inference(tautology,[status(thm)],[])).
% 8.09/6.04 tff(17686,plain,
% 8.09/6.04 (v108(constB115)),
% 8.09/6.04 inference(unit_resolution,[status(thm)],[17685, 17684, 17658])).
% 8.09/6.04 tff(17687,plain,
% 8.09/6.04 ((~(v110(constB116) <=> v108(constB115))) | v110(constB116) | (~v108(constB115))),
% 8.09/6.04 inference(tautology,[status(thm)],[])).
% 8.09/6.04 tff(17688,plain,
% 8.09/6.04 (v110(constB116)),
% 8.09/6.04 inference(unit_resolution,[status(thm)],[17687, 17686, 17656])).
% 8.09/6.04 tff(17689,plain,
% 8.09/6.04 ((~((~v101(constB116)) | (~v110(constB116)))) | (~v101(constB116)) | (~v110(constB116))),
% 8.09/6.04 inference(tautology,[status(thm)],[])).
% 8.09/6.04 tff(17690,plain,
% 8.09/6.04 (~((~v101(constB116)) | (~v110(constB116)))),
% 8.09/6.04 inference(unit_resolution,[status(thm)],[17689, 17688, 17652])).
% 8.09/6.04 tff(17691,plain,
% 8.09/6.04 ((~(v100(constB116) <=> (~((~v101(constB116)) | (~v110(constB116)))))) | v100(constB116) | ((~v101(constB116)) | (~v110(constB116)))),
% 8.09/6.04 inference(tautology,[status(thm)],[])).
% 8.09/6.04 tff(17692,plain,
% 8.09/6.04 (v100(constB116)),
% 8.09/6.04 inference(unit_resolution,[status(thm)],[17691, 17690, 17627])).
% 8.09/6.04 tff(17693,plain,
% 8.09/6.04 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB116)) | (~(((~v90(constB116, bitIndex2)) <=> v129(constB116, bitIndex2)) | ((~v90(constB116, bitIndex1)) <=> v129(constB116, bitIndex1)) | ((~v90(constB116, bitIndex0)) <=> v129(constB116, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB116)) | (~(((~v90(constB116, bitIndex2)) <=> v129(constB116, bitIndex2)) | ((~v90(constB116, bitIndex1)) <=> v129(constB116, bitIndex1)) | ((~v90(constB116, bitIndex0)) <=> v129(constB116, bitIndex0)))))),
% 8.09/6.04 inference(rewrite,[status(thm)],[])).
% 8.09/6.04 tff(17694,plain,
% 8.09/6.04 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB116)) | (~(((~v90(constB116, bitIndex2)) <=> v129(constB116, bitIndex2)) | ((~v90(constB116, bitIndex1)) <=> v129(constB116, bitIndex1)) | ((~v90(constB116, bitIndex0)) <=> v129(constB116, bitIndex0)))))),
% 8.09/6.04 inference(quant_inst,[status(thm)],[])).
% 8.09/6.04 tff(17695,plain,
% 8.09/6.04 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB116)) | (~(((~v90(constB116, bitIndex2)) <=> v129(constB116, bitIndex2)) | ((~v90(constB116, bitIndex1)) <=> v129(constB116, bitIndex1)) | ((~v90(constB116, bitIndex0)) <=> v129(constB116, bitIndex0))))),
% 8.09/6.05 inference(modus_ponens,[status(thm)],[17694, 17693])).
% 8.09/6.05 tff(17696,plain,
% 8.09/6.05 ((~v100(constB116)) | (~(((~v90(constB116, bitIndex2)) <=> v129(constB116, bitIndex2)) | ((~v90(constB116, bitIndex1)) <=> v129(constB116, bitIndex1)) | ((~v90(constB116, bitIndex0)) <=> v129(constB116, bitIndex0))))),
% 8.09/6.05 inference(unit_resolution,[status(thm)],[17695, 3429])).
% 8.09/6.05 tff(17697,plain,
% 8.09/6.05 (~(((~v90(constB116, bitIndex2)) <=> v129(constB116, bitIndex2)) | ((~v90(constB116, bitIndex1)) <=> v129(constB116, bitIndex1)) | ((~v90(constB116, bitIndex0)) <=> v129(constB116, bitIndex0)))),
% 8.09/6.05 inference(unit_resolution,[status(thm)],[17696, 17692])).
% 8.09/6.05 tff(17698,plain,
% 8.09/6.05 ((((~v90(constB116, bitIndex2)) <=> v129(constB116, bitIndex2)) | ((~v90(constB116, bitIndex1)) <=> v129(constB116, bitIndex1)) | ((~v90(constB116, bitIndex0)) <=> v129(constB116, bitIndex0))) | (~((~v90(constB116, bitIndex2)) <=> v129(constB116, bitIndex2)))),
% 8.09/6.05 inference(tautology,[status(thm)],[])).
% 8.09/6.05 tff(17699,plain,
% 8.09/6.05 (~((~v90(constB116, bitIndex2)) <=> v129(constB116, bitIndex2))),
% 8.09/6.05 inference(unit_resolution,[status(thm)],[17698, 17697])).
% 8.09/6.05 tff(17700,plain,
% 8.09/6.05 (((~v90(constB116, bitIndex2)) <=> v129(constB116, bitIndex2)) | (~v90(constB116, bitIndex2)) | v129(constB116, bitIndex2)),
% 8.09/6.05 inference(tautology,[status(thm)],[])).
% 8.09/6.05 tff(17701,plain,
% 8.09/6.05 (~v90(constB116, bitIndex2)),
% 8.09/6.05 inference(unit_resolution,[status(thm)],[17700, 17699, 17623])).
% 8.09/6.05 tff(17702,plain,
% 8.09/6.05 (((~v90(constB117, bitIndex2)) <=> v90(constB116, bitIndex2)) | (~v90(constB117, bitIndex2)) | v90(constB116, bitIndex2)),
% 8.09/6.05 inference(tautology,[status(thm)],[])).
% 8.09/6.05 tff(17703,plain,
% 8.09/6.05 (~v90(constB117, bitIndex2)),
% 8.09/6.05 inference(unit_resolution,[status(thm)],[17702, 17701, 17530])).
% 8.09/6.05 tff(17704,plain,
% 8.09/6.05 ((((~v90(constB117, bitIndex1)) <=> v90(constB116, bitIndex1)) | ((~v90(constB117, bitIndex2)) <=> v90(constB116, bitIndex2)) | ((~v90(constB117, bitIndex0)) <=> v90(constB116, bitIndex0))) | (~((~v90(constB117, bitIndex0)) <=> v90(constB116, bitIndex0)))),
% 8.09/6.05 inference(tautology,[status(thm)],[])).
% 8.09/6.05 tff(17705,plain,
% 8.09/6.05 (~((~v90(constB117, bitIndex0)) <=> v90(constB116, bitIndex0))),
% 8.09/6.05 inference(unit_resolution,[status(thm)],[17704, 17528])).
% 8.09/6.05 tff(17706,plain,
% 8.09/6.05 ((((~v129(constB116, bitIndex2)) <=> v127(constB115, bitIndex2)) | ((~v129(constB116, bitIndex1)) <=> v127(constB115, bitIndex1)) | ((~v129(constB116, bitIndex0)) <=> v127(constB115, bitIndex0))) | (~((~v129(constB116, bitIndex0)) <=> v127(constB115, bitIndex0)))),
% 8.09/6.05 inference(tautology,[status(thm)],[])).
% 8.09/6.05 tff(17707,plain,
% 8.09/6.05 (~((~v129(constB116, bitIndex0)) <=> v127(constB115, bitIndex0))),
% 8.09/6.05 inference(unit_resolution,[status(thm)],[17706, 17534])).
% 8.09/6.05 tff(17708,plain,
% 8.09/6.05 ((((~v127(constB115, bitIndex2)) <=> v130(constB115, bitIndex2)) | ((~v127(constB115, bitIndex1)) <=> v130(constB115, bitIndex1)) | ((~v127(constB115, bitIndex0)) <=> v130(constB115, bitIndex0))) | (~((~v127(constB115, bitIndex0)) <=> v130(constB115, bitIndex0)))),
% 8.09/6.05 inference(tautology,[status(thm)],[])).
% 8.09/6.05 tff(17709,plain,
% 8.09/6.05 (~((~v127(constB115, bitIndex0)) <=> v130(constB115, bitIndex0))),
% 8.09/6.05 inference(unit_resolution,[status(thm)],[17708, 17548])).
% 8.09/6.05 tff(17710,plain,
% 8.09/6.05 ((v130(constB115, bitIndex2) | v130(constB115, bitIndex1) | (~v130(constB115, bitIndex0))) | v130(constB115, bitIndex0)),
% 8.09/6.05 inference(tautology,[status(thm)],[])).
% 8.09/6.05 tff(17711,plain,
% 8.09/6.05 (v130(constB115, bitIndex0)),
% 8.09/6.05 inference(unit_resolution,[status(thm)],[17710, 17617])).
% 8.09/6.05 tff(17712,plain,
% 8.09/6.05 (((~v127(constB115, bitIndex0)) <=> v130(constB115, bitIndex0)) | v127(constB115, bitIndex0) | (~v130(constB115, bitIndex0))),
% 8.09/6.05 inference(tautology,[status(thm)],[])).
% 8.09/6.05 tff(17713,plain,
% 8.09/6.05 (v127(constB115, bitIndex0)),
% 8.09/6.05 inference(unit_resolution,[status(thm)],[17712, 17711, 17709])).
% 8.09/6.05 tff(17714,plain,
% 8.09/6.05 (((~v129(constB116, bitIndex0)) <=> v127(constB115, bitIndex0)) | v129(constB116, bitIndex0) | (~v127(constB115, bitIndex0))),
% 8.09/6.05 inference(tautology,[status(thm)],[])).
% 8.09/6.05 tff(17715,plain,
% 8.09/6.05 (v129(constB116, bitIndex0)),
% 8.09/6.05 inference(unit_resolution,[status(thm)],[17714, 17713, 17707])).
% 8.09/6.05 tff(17716,plain,
% 8.09/6.05 ((((~v90(constB116, bitIndex2)) <=> v129(constB116, bitIndex2)) | ((~v90(constB116, bitIndex1)) <=> v129(constB116, bitIndex1)) | ((~v90(constB116, bitIndex0)) <=> v129(constB116, bitIndex0))) | (~((~v90(constB116, bitIndex0)) <=> v129(constB116, bitIndex0)))),
% 8.09/6.05 inference(tautology,[status(thm)],[])).
% 8.09/6.05 tff(17717,plain,
% 8.09/6.05 (~((~v90(constB116, bitIndex0)) <=> v129(constB116, bitIndex0))),
% 8.09/6.05 inference(unit_resolution,[status(thm)],[17716, 17697])).
% 8.09/6.05 tff(17718,plain,
% 8.09/6.05 (((~v90(constB116, bitIndex0)) <=> v129(constB116, bitIndex0)) | v90(constB116, bitIndex0) | (~v129(constB116, bitIndex0))),
% 8.09/6.05 inference(tautology,[status(thm)],[])).
% 8.09/6.05 tff(17719,plain,
% 8.09/6.05 (v90(constB116, bitIndex0)),
% 8.09/6.05 inference(unit_resolution,[status(thm)],[17718, 17717, 17715])).
% 8.09/6.05 tff(17720,plain,
% 8.09/6.05 (((~v90(constB117, bitIndex0)) <=> v90(constB116, bitIndex0)) | v90(constB117, bitIndex0) | (~v90(constB116, bitIndex0))),
% 8.09/6.05 inference(tautology,[status(thm)],[])).
% 8.09/6.05 tff(17721,plain,
% 8.09/6.05 (v90(constB117, bitIndex0)),
% 8.09/6.05 inference(unit_resolution,[status(thm)],[17720, 17719, 17705])).
% 8.09/6.05 tff(17722,plain,
% 8.09/6.05 ((((~v90(constB117, bitIndex1)) <=> v90(constB116, bitIndex1)) | ((~v90(constB117, bitIndex2)) <=> v90(constB116, bitIndex2)) | ((~v90(constB117, bitIndex0)) <=> v90(constB116, bitIndex0))) | (~((~v90(constB117, bitIndex1)) <=> v90(constB116, bitIndex1)))),
% 8.09/6.05 inference(tautology,[status(thm)],[])).
% 8.09/6.05 tff(17723,plain,
% 8.09/6.05 (~((~v90(constB117, bitIndex1)) <=> v90(constB116, bitIndex1))),
% 8.09/6.05 inference(unit_resolution,[status(thm)],[17722, 17528])).
% 8.09/6.05 tff(17724,plain,
% 8.09/6.05 ((((~v129(constB116, bitIndex2)) <=> v127(constB115, bitIndex2)) | ((~v129(constB116, bitIndex1)) <=> v127(constB115, bitIndex1)) | ((~v129(constB116, bitIndex0)) <=> v127(constB115, bitIndex0))) | (~((~v129(constB116, bitIndex1)) <=> v127(constB115, bitIndex1)))),
% 8.09/6.05 inference(tautology,[status(thm)],[])).
% 8.09/6.05 tff(17725,plain,
% 8.09/6.05 (~((~v129(constB116, bitIndex1)) <=> v127(constB115, bitIndex1))),
% 8.09/6.05 inference(unit_resolution,[status(thm)],[17724, 17534])).
% 8.09/6.05 tff(17726,plain,
% 8.09/6.05 ((((~v127(constB115, bitIndex2)) <=> v130(constB115, bitIndex2)) | ((~v127(constB115, bitIndex1)) <=> v130(constB115, bitIndex1)) | ((~v127(constB115, bitIndex0)) <=> v130(constB115, bitIndex0))) | (~((~v127(constB115, bitIndex1)) <=> v130(constB115, bitIndex1)))),
% 8.09/6.05 inference(tautology,[status(thm)],[])).
% 8.09/6.05 tff(17727,plain,
% 8.09/6.05 (~((~v127(constB115, bitIndex1)) <=> v130(constB115, bitIndex1))),
% 8.09/6.05 inference(unit_resolution,[status(thm)],[17726, 17548])).
% 8.09/6.05 tff(17728,plain,
% 8.09/6.05 ((v130(constB115, bitIndex2) | v130(constB115, bitIndex1) | (~v130(constB115, bitIndex0))) | (~v130(constB115, bitIndex1))),
% 8.09/6.05 inference(tautology,[status(thm)],[])).
% 8.09/6.05 tff(17729,plain,
% 8.09/6.05 (~v130(constB115, bitIndex1)),
% 8.09/6.05 inference(unit_resolution,[status(thm)],[17728, 17617])).
% 8.09/6.05 tff(17730,plain,
% 8.09/6.05 (((~v127(constB115, bitIndex1)) <=> v130(constB115, bitIndex1)) | (~v127(constB115, bitIndex1)) | v130(constB115, bitIndex1)),
% 8.09/6.05 inference(tautology,[status(thm)],[])).
% 8.09/6.05 tff(17731,plain,
% 8.09/6.05 (~v127(constB115, bitIndex1)),
% 8.09/6.05 inference(unit_resolution,[status(thm)],[17730, 17729, 17727])).
% 8.09/6.05 tff(17732,plain,
% 8.09/6.05 (((~v129(constB116, bitIndex1)) <=> v127(constB115, bitIndex1)) | (~v129(constB116, bitIndex1)) | v127(constB115, bitIndex1)),
% 8.09/6.05 inference(tautology,[status(thm)],[])).
% 8.09/6.05 tff(17733,plain,
% 8.09/6.05 (~v129(constB116, bitIndex1)),
% 8.09/6.05 inference(unit_resolution,[status(thm)],[17732, 17731, 17725])).
% 8.09/6.05 tff(17734,plain,
% 8.09/6.05 ((((~v90(constB116, bitIndex2)) <=> v129(constB116, bitIndex2)) | ((~v90(constB116, bitIndex1)) <=> v129(constB116, bitIndex1)) | ((~v90(constB116, bitIndex0)) <=> v129(constB116, bitIndex0))) | (~((~v90(constB116, bitIndex1)) <=> v129(constB116, bitIndex1)))),
% 8.09/6.05 inference(tautology,[status(thm)],[])).
% 8.09/6.05 tff(17735,plain,
% 8.09/6.05 (~((~v90(constB116, bitIndex1)) <=> v129(constB116, bitIndex1))),
% 8.09/6.05 inference(unit_resolution,[status(thm)],[17734, 17697])).
% 8.09/6.05 tff(17736,plain,
% 8.09/6.05 (((~v90(constB116, bitIndex1)) <=> v129(constB116, bitIndex1)) | (~v90(constB116, bitIndex1)) | v129(constB116, bitIndex1)),
% 8.09/6.05 inference(tautology,[status(thm)],[])).
% 8.09/6.05 tff(17737,plain,
% 8.09/6.05 (~v90(constB116, bitIndex1)),
% 8.09/6.05 inference(unit_resolution,[status(thm)],[17736, 17735, 17733])).
% 8.09/6.05 tff(17738,plain,
% 8.09/6.05 (((~v90(constB117, bitIndex1)) <=> v90(constB116, bitIndex1)) | (~v90(constB117, bitIndex1)) | v90(constB116, bitIndex1)),
% 8.09/6.05 inference(tautology,[status(thm)],[])).
% 8.09/6.05 tff(17739,plain,
% 8.09/6.05 (~v90(constB117, bitIndex1)),
% 8.09/6.05 inference(unit_resolution,[status(thm)],[17738, 17737, 17723])).
% 8.09/6.05 tff(17740,plain,
% 8.09/6.05 ((~(v90(constB117, bitIndex1) | v90(constB117, bitIndex2) | (~v90(constB117, bitIndex0)))) | v90(constB117, bitIndex1) | v90(constB117, bitIndex2) | (~v90(constB117, bitIndex0))),
% 8.09/6.05 inference(tautology,[status(thm)],[])).
% 8.09/6.05 tff(17741,plain,
% 8.09/6.05 (~(v90(constB117, bitIndex1) | v90(constB117, bitIndex2) | (~v90(constB117, bitIndex0)))),
% 8.09/6.05 inference(unit_resolution,[status(thm)],[17740, 17739, 17721, 17703])).
% 8.09/6.05 tff(17742,plain,
% 8.09/6.05 ((~(v120(constB117) <=> (~(v90(constB117, bitIndex1) | v90(constB117, bitIndex2) | (~v90(constB117, bitIndex0)))))) | v120(constB117) | (v90(constB117, bitIndex1) | v90(constB117, bitIndex2) | (~v90(constB117, bitIndex0)))),
% 8.09/6.05 inference(tautology,[status(thm)],[])).
% 8.09/6.05 tff(17743,plain,
% 8.09/6.05 (v120(constB117)),
% 8.09/6.05 inference(unit_resolution,[status(thm)],[17742, 17741, 17497])).
% 8.09/6.05 tff(17744,plain,
% 8.09/6.05 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB117)) | (~(v130(constB117, bitIndex2) | v130(constB117, bitIndex0) | (~v130(constB117, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB117)) | (~(v130(constB117, bitIndex2) | v130(constB117, bitIndex0) | (~v130(constB117, bitIndex1)))))),
% 8.09/6.05 inference(rewrite,[status(thm)],[])).
% 8.09/6.05 tff(17745,plain,
% 8.09/6.05 (((~v120(constB117)) | (~(v130(constB117, bitIndex0) | v130(constB117, bitIndex2) | (~v130(constB117, bitIndex1))))) <=> ((~v120(constB117)) | (~(v130(constB117, bitIndex2) | v130(constB117, bitIndex0) | (~v130(constB117, bitIndex1)))))),
% 8.09/6.05 inference(rewrite,[status(thm)],[])).
% 8.09/6.05 tff(17746,plain,
% 8.09/6.05 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB117)) | (~(v130(constB117, bitIndex0) | v130(constB117, bitIndex2) | (~v130(constB117, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB117)) | (~(v130(constB117, bitIndex2) | v130(constB117, bitIndex0) | (~v130(constB117, bitIndex1))))))),
% 8.09/6.05 inference(monotonicity,[status(thm)],[17745])).
% 8.09/6.05 tff(17747,plain,
% 8.09/6.05 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB117)) | (~(v130(constB117, bitIndex0) | v130(constB117, bitIndex2) | (~v130(constB117, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB117)) | (~(v130(constB117, bitIndex2) | v130(constB117, bitIndex0) | (~v130(constB117, bitIndex1)))))),
% 8.09/6.05 inference(transitivity,[status(thm)],[17746, 17744])).
% 8.09/6.05 tff(17748,plain,
% 8.09/6.05 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB117)) | (~(v130(constB117, bitIndex0) | v130(constB117, bitIndex2) | (~v130(constB117, bitIndex1)))))),
% 8.09/6.05 inference(quant_inst,[status(thm)],[])).
% 8.09/6.05 tff(17749,plain,
% 8.09/6.05 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB117)) | (~(v130(constB117, bitIndex2) | v130(constB117, bitIndex0) | (~v130(constB117, bitIndex1))))),
% 8.09/6.05 inference(modus_ponens,[status(thm)],[17748, 17747])).
% 8.09/6.05 tff(17750,plain,
% 8.09/6.05 ((~v120(constB117)) | (~(v130(constB117, bitIndex2) | v130(constB117, bitIndex0) | (~v130(constB117, bitIndex1))))),
% 8.09/6.05 inference(unit_resolution,[status(thm)],[17749, 3881])).
% 8.09/6.05 tff(17751,plain,
% 8.09/6.05 (~(v130(constB117, bitIndex2) | v130(constB117, bitIndex0) | (~v130(constB117, bitIndex1)))),
% 8.09/6.05 inference(unit_resolution,[status(thm)],[17750, 17743])).
% 8.09/6.05 tff(17752,plain,
% 8.09/6.05 ((v130(constB117, bitIndex2) | v130(constB117, bitIndex0) | (~v130(constB117, bitIndex1))) | (~v130(constB117, bitIndex2))),
% 8.09/6.05 inference(tautology,[status(thm)],[])).
% 8.09/6.05 tff(17753,plain,
% 8.09/6.05 (~v130(constB117, bitIndex2)),
% 8.09/6.05 inference(unit_resolution,[status(thm)],[17752, 17751])).
% 8.09/6.05 tff(17754,plain,
% 8.09/6.05 (((~v127(constB117, bitIndex2)) <=> v130(constB117, bitIndex2)) | (~v127(constB117, bitIndex2)) | v130(constB117, bitIndex2)),
% 8.09/6.05 inference(tautology,[status(thm)],[])).
% 8.09/6.05 tff(17755,plain,
% 8.09/6.05 (~v127(constB117, bitIndex2)),
% 8.09/6.05 inference(unit_resolution,[status(thm)],[17754, 17753, 17495])).
% 8.09/6.05 tff(17756,plain,
% 8.09/6.05 (((~v129(constB118, bitIndex2)) <=> v127(constB117, bitIndex2)) | (~v129(constB118, bitIndex2)) | v127(constB117, bitIndex2)),
% 8.09/6.05 inference(tautology,[status(thm)],[])).
% 8.09/6.05 tff(17757,plain,
% 8.09/6.05 (~v129(constB118, bitIndex2)),
% 8.09/6.05 inference(unit_resolution,[status(thm)],[17756, 17755, 17481])).
% 8.09/6.05 tff(17758,plain,
% 8.09/6.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB117, constB118)) | (v100(constB118) <=> (~((~v101(constB118)) | (~v110(constB118))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB117, constB118)) | (v100(constB118) <=> (~((~v101(constB118)) | (~v110(constB118))))))),
% 8.09/6.05 inference(rewrite,[status(thm)],[])).
% 8.09/6.05 tff(17759,plain,
% 8.09/6.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB117, constB118)) | (v100(constB118) <=> (~((~v101(constB118)) | (~v110(constB118))))))),
% 8.09/6.05 inference(quant_inst,[status(thm)],[])).
% 8.09/6.05 tff(17760,plain,
% 8.09/6.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB117, constB118)) | (v100(constB118) <=> (~((~v101(constB118)) | (~v110(constB118)))))),
% 8.09/6.05 inference(modus_ponens,[status(thm)],[17759, 17758])).
% 8.09/6.05 tff(17761,plain,
% 8.09/6.05 (v100(constB118) <=> (~((~v101(constB118)) | (~v110(constB118))))),
% 8.09/6.05 inference(unit_resolution,[status(thm)],[17760, 17475, 445])).
% 8.09/6.05 tff(17762,plain,
% 8.09/6.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB117, constB118)) | (v101(constB118) <=> (~((~v1(constB118)) | (~v102(constB118))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB117, constB118)) | (v101(constB118) <=> (~((~v1(constB118)) | (~v102(constB118))))))),
% 8.09/6.05 inference(rewrite,[status(thm)],[])).
% 8.09/6.05 tff(17763,plain,
% 8.09/6.05 (((~nextState(constB117, constB118)) | (v101(constB118) <=> (~((~v102(constB118)) | (~v1(constB118)))))) <=> ((~nextState(constB117, constB118)) | (v101(constB118) <=> (~((~v1(constB118)) | (~v102(constB118))))))),
% 8.09/6.05 inference(rewrite,[status(thm)],[])).
% 8.09/6.05 tff(17764,plain,
% 8.09/6.05 (((~![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) <=> (~((~v1(constB118)) | (~v102(constB118)))))))),
% 8.09/6.05 inference(monotonicity,[status(thm)],[17763])).
% 8.09/6.05 tff(17765,plain,
% 8.09/6.05 (((~![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) <=> (~((~v1(constB118)) | (~v102(constB118))))))),
% 8.09/6.05 inference(transitivity,[status(thm)],[17764, 17762])).
% 8.09/6.05 tff(17766,plain,
% 8.09/6.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB117, constB118)) | (v101(constB118) <=> (~((~v102(constB118)) | (~v1(constB118))))))),
% 8.09/6.05 inference(quant_inst,[status(thm)],[])).
% 8.09/6.05 tff(17767,plain,
% 8.09/6.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB117, constB118)) | (v101(constB118) <=> (~((~v1(constB118)) | (~v102(constB118)))))),
% 8.09/6.05 inference(modus_ponens,[status(thm)],[17766, 17765])).
% 8.09/6.05 tff(17768,plain,
% 8.09/6.05 (v101(constB118) <=> (~((~v1(constB118)) | (~v102(constB118))))),
% 8.09/6.05 inference(unit_resolution,[status(thm)],[17767, 17475, 465])).
% 8.09/6.05 tff(17769,plain,
% 8.09/6.05 (((~![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)))),
% 8.09/6.05 inference(rewrite,[status(thm)],[])).
% 8.09/6.05 tff(17770,plain,
% 8.09/6.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB117, constB118)) | ((~v102(constB118)) <=> v104(constB118)))),
% 8.09/6.05 inference(quant_inst,[status(thm)],[])).
% 8.09/6.05 tff(17771,plain,
% 8.09/6.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB117, constB118)) | ((~v102(constB118)) <=> v104(constB118))),
% 8.09/6.05 inference(modus_ponens,[status(thm)],[17770, 17769])).
% 8.09/6.05 tff(17772,plain,
% 8.09/6.05 ((~v102(constB118)) <=> v104(constB118)),
% 8.09/6.05 inference(unit_resolution,[status(thm)],[17771, 17475, 3244])).
% 8.09/6.05 tff(17773,plain,
% 8.09/6.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB117, constB118)) | (v104(constB118) <=> v1(constB117)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB117, constB118)) | (v104(constB118) <=> v1(constB117)))),
% 8.09/6.05 inference(rewrite,[status(thm)],[])).
% 8.09/6.05 tff(17774,plain,
% 8.09/6.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB117, constB118)) | (v104(constB118) <=> v1(constB117)))),
% 8.09/6.05 inference(quant_inst,[status(thm)],[])).
% 8.09/6.05 tff(17775,plain,
% 8.09/6.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB117, constB118)) | (v104(constB118) <=> v1(constB117))),
% 8.09/6.05 inference(modus_ponens,[status(thm)],[17774, 17773])).
% 8.09/6.05 tff(17776,plain,
% 8.09/6.05 (v104(constB118) <=> v1(constB117)),
% 8.09/6.05 inference(unit_resolution,[status(thm)],[17775, 17475, 3258])).
% 8.09/6.05 tff(17777,plain,
% 8.09/6.05 ((~(v104(constB118) <=> v1(constB117))) | (~v104(constB118)) | v1(constB117)),
% 8.09/6.05 inference(tautology,[status(thm)],[])).
% 8.09/6.05 tff(17778,plain,
% 8.09/6.05 ((~(v104(constB118) <=> v1(constB117))) | (~v104(constB118))),
% 8.09/6.05 inference(unit_resolution,[status(thm)],[17777, 17511])).
% 8.09/6.05 tff(17779,plain,
% 8.09/6.05 (~v104(constB118)),
% 8.09/6.05 inference(unit_resolution,[status(thm)],[17778, 17776])).
% 8.09/6.05 tff(17780,plain,
% 8.09/6.05 ((~((~v102(constB118)) <=> v104(constB118))) | v102(constB118) | v104(constB118)),
% 8.09/6.05 inference(tautology,[status(thm)],[])).
% 8.09/6.05 tff(17781,plain,
% 8.09/6.05 (v102(constB118)),
% 8.09/6.05 inference(unit_resolution,[status(thm)],[17780, 17779, 17772])).
% 8.09/6.05 tff(17782,plain,
% 8.09/6.05 (v1(constB118) <=> v1(constB118)),
% 8.09/6.05 inference(rewrite,[status(thm)],[])).
% 8.09/6.05 tff(17783,axiom,(v1(constB118)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_118')).
% 8.09/6.05 tff(17784,plain,
% 8.09/6.05 (v1(constB118)),
% 8.09/6.05 inference(modus_ponens,[status(thm)],[17783, 17782])).
% 8.09/6.05 tff(17785,plain,
% 8.09/6.05 ((~((~v1(constB118)) | (~v102(constB118)))) | (~v1(constB118)) | (~v102(constB118))),
% 8.09/6.05 inference(tautology,[status(thm)],[])).
% 8.09/6.05 tff(17786,plain,
% 8.09/6.05 ((~((~v1(constB118)) | (~v102(constB118)))) | (~v102(constB118))),
% 8.09/6.05 inference(unit_resolution,[status(thm)],[17785, 17784])).
% 8.09/6.05 tff(17787,plain,
% 8.09/6.05 (~((~v1(constB118)) | (~v102(constB118)))),
% 8.09/6.05 inference(unit_resolution,[status(thm)],[17786, 17781])).
% 8.09/6.05 tff(17788,plain,
% 8.09/6.05 ((~(v101(constB118) <=> (~((~v1(constB118)) | (~v102(constB118)))))) | v101(constB118) | ((~v1(constB118)) | (~v102(constB118)))),
% 8.09/6.05 inference(tautology,[status(thm)],[])).
% 8.09/6.05 tff(17789,plain,
% 8.09/6.05 (v101(constB118)),
% 8.09/6.05 inference(unit_resolution,[status(thm)],[17788, 17787, 17768])).
% 8.09/6.05 tff(17790,plain,
% 8.09/6.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB117, constB118)) | (v110(constB118) <=> v108(constB117)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB117, constB118)) | (v110(constB118) <=> v108(constB117)))),
% 8.09/6.05 inference(rewrite,[status(thm)],[])).
% 8.09/6.05 tff(17791,plain,
% 8.09/6.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB117, constB118)) | (v110(constB118) <=> v108(constB117)))),
% 8.09/6.05 inference(quant_inst,[status(thm)],[])).
% 8.09/6.05 tff(17792,plain,
% 8.09/6.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB117, constB118)) | (v110(constB118) <=> v108(constB117))),
% 8.09/6.05 inference(modus_ponens,[status(thm)],[17791, 17790])).
% 8.09/6.05 tff(17793,plain,
% 8.09/6.05 (v110(constB118) <=> v108(constB117)),
% 8.09/6.05 inference(unit_resolution,[status(thm)],[17792, 17475, 3285])).
% 8.09/6.05 tff(17794,plain,
% 8.09/6.05 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB117) <=> (v111(constB117) | v112(constB117)))),
% 8.09/6.05 inference(quant_inst,[status(thm)],[])).
% 8.09/6.05 tff(17795,plain,
% 8.09/6.05 (v108(constB117) <=> (v111(constB117) | v112(constB117))),
% 8.09/6.05 inference(unit_resolution,[status(thm)],[17794, 3296])).
% 8.09/6.05 tff(17796,plain,
% 8.09/6.05 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB117) <=> (~((~v113(constB117)) | (~v126(constB117)))))),
% 8.09/6.05 inference(quant_inst,[status(thm)],[])).
% 8.09/6.05 tff(17797,plain,
% 8.09/6.05 (v112(constB117) <=> (~((~v113(constB117)) | (~v126(constB117))))),
% 8.09/6.05 inference(unit_resolution,[status(thm)],[17796, 3308])).
% 8.09/6.05 tff(17798,plain,
% 8.09/6.05 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB117) <=> (v114(constB117) | v125(constB117)))),
% 8.09/6.05 inference(quant_inst,[status(thm)],[])).
% 8.09/6.05 tff(17799,plain,
% 8.09/6.05 (v113(constB117) <=> (v114(constB117) | v125(constB117))),
% 8.09/6.05 inference(unit_resolution,[status(thm)],[17798, 3317])).
% 8.09/6.05 tff(17800,plain,
% 8.09/6.05 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB117) <=> (v115(constB117) | v124(constB117)))),
% 8.09/6.05 inference(quant_inst,[status(thm)],[])).
% 8.09/6.05 tff(17801,plain,
% 8.09/6.05 (v114(constB117) <=> (v115(constB117) | v124(constB117))),
% 8.09/6.05 inference(unit_resolution,[status(thm)],[17800, 3326])).
% 8.09/6.05 tff(17802,plain,
% 8.09/6.05 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB117) <=> (v116(constB117) | v123(constB117)))),
% 8.09/6.05 inference(quant_inst,[status(thm)],[])).
% 8.09/6.05 tff(17803,plain,
% 8.09/6.05 (v115(constB117) <=> (v116(constB117) | v123(constB117))),
% 8.09/6.05 inference(unit_resolution,[status(thm)],[17802, 3335])).
% 8.09/6.05 tff(17804,plain,
% 8.09/6.05 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB117) <=> (v117(constB117) | v122(constB117)))),
% 8.09/6.05 inference(quant_inst,[status(thm)],[])).
% 8.09/6.05 tff(17805,plain,
% 8.09/6.05 (v116(constB117) <=> (v117(constB117) | v122(constB117))),
% 8.09/6.05 inference(unit_resolution,[status(thm)],[17804, 3344])).
% 8.09/6.05 tff(17806,plain,
% 8.09/6.05 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB117) <=> (v118(constB117) | v121(constB117)))),
% 8.09/6.05 inference(quant_inst,[status(thm)],[])).
% 8.09/6.05 tff(17807,plain,
% 8.09/6.05 (v117(constB117) <=> (v118(constB117) | v121(constB117))),
% 8.09/6.05 inference(unit_resolution,[status(thm)],[17806, 3353])).
% 8.09/6.05 tff(17808,plain,
% 8.09/6.05 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB117) <=> (v119(constB117) | v120(constB117)))),
% 8.09/6.05 inference(quant_inst,[status(thm)],[])).
% 8.09/6.05 tff(17809,plain,
% 8.09/6.05 (v118(constB117) <=> (v119(constB117) | v120(constB117))),
% 8.09/6.05 inference(unit_resolution,[status(thm)],[17808, 3362])).
% 8.09/6.05 tff(17810,plain,
% 8.09/6.05 ((v119(constB117) | v120(constB117)) | (~v120(constB117))),
% 8.09/6.05 inference(tautology,[status(thm)],[])).
% 8.09/6.05 tff(17811,plain,
% 8.09/6.05 (v119(constB117) | v120(constB117)),
% 8.09/6.05 inference(unit_resolution,[status(thm)],[17810, 17743])).
% 8.09/6.05 tff(17812,plain,
% 8.09/6.05 ((~(v118(constB117) <=> (v119(constB117) | v120(constB117)))) | v118(constB117) | (~(v119(constB117) | v120(constB117)))),
% 8.09/6.05 inference(tautology,[status(thm)],[])).
% 8.09/6.05 tff(17813,plain,
% 8.09/6.05 (v118(constB117)),
% 8.09/6.05 inference(unit_resolution,[status(thm)],[17812, 17811, 17809])).
% 8.09/6.05 tff(17814,plain,
% 8.09/6.05 ((v118(constB117) | v121(constB117)) | (~v118(constB117))),
% 8.09/6.05 inference(tautology,[status(thm)],[])).
% 8.09/6.05 tff(17815,plain,
% 8.09/6.05 (v118(constB117) | v121(constB117)),
% 8.09/6.05 inference(unit_resolution,[status(thm)],[17814, 17813])).
% 8.09/6.05 tff(17816,plain,
% 8.09/6.05 ((~(v117(constB117) <=> (v118(constB117) | v121(constB117)))) | v117(constB117) | (~(v118(constB117) | v121(constB117)))),
% 8.09/6.05 inference(tautology,[status(thm)],[])).
% 8.09/6.05 tff(17817,plain,
% 8.09/6.05 (v117(constB117)),
% 8.09/6.05 inference(unit_resolution,[status(thm)],[17816, 17815, 17807])).
% 8.09/6.05 tff(17818,plain,
% 8.09/6.05 ((v117(constB117) | v122(constB117)) | (~v117(constB117))),
% 8.09/6.05 inference(tautology,[status(thm)],[])).
% 8.09/6.05 tff(17819,plain,
% 8.09/6.05 (v117(constB117) | v122(constB117)),
% 8.09/6.05 inference(unit_resolution,[status(thm)],[17818, 17817])).
% 8.09/6.05 tff(17820,plain,
% 8.09/6.05 ((~(v116(constB117) <=> (v117(constB117) | v122(constB117)))) | v116(constB117) | (~(v117(constB117) | v122(constB117)))),
% 8.09/6.05 inference(tautology,[status(thm)],[])).
% 8.09/6.05 tff(17821,plain,
% 8.09/6.05 (v116(constB117)),
% 8.09/6.05 inference(unit_resolution,[status(thm)],[17820, 17819, 17805])).
% 8.09/6.05 tff(17822,plain,
% 8.09/6.05 ((v116(constB117) | v123(constB117)) | (~v116(constB117))),
% 8.09/6.05 inference(tautology,[status(thm)],[])).
% 8.09/6.05 tff(17823,plain,
% 8.09/6.05 (v116(constB117) | v123(constB117)),
% 8.09/6.05 inference(unit_resolution,[status(thm)],[17822, 17821])).
% 8.09/6.05 tff(17824,plain,
% 8.09/6.05 ((~(v115(constB117) <=> (v116(constB117) | v123(constB117)))) | v115(constB117) | (~(v116(constB117) | v123(constB117)))),
% 8.09/6.05 inference(tautology,[status(thm)],[])).
% 8.09/6.05 tff(17825,plain,
% 8.09/6.05 (v115(constB117)),
% 8.09/6.05 inference(unit_resolution,[status(thm)],[17824, 17823, 17803])).
% 8.09/6.05 tff(17826,plain,
% 8.09/6.05 ((v115(constB117) | v124(constB117)) | (~v115(constB117))),
% 8.09/6.05 inference(tautology,[status(thm)],[])).
% 8.09/6.05 tff(17827,plain,
% 8.09/6.05 (v115(constB117) | v124(constB117)),
% 8.09/6.05 inference(unit_resolution,[status(thm)],[17826, 17825])).
% 8.09/6.05 tff(17828,plain,
% 8.09/6.05 ((~(v114(constB117) <=> (v115(constB117) | v124(constB117)))) | v114(constB117) | (~(v115(constB117) | v124(constB117)))),
% 8.09/6.05 inference(tautology,[status(thm)],[])).
% 8.09/6.05 tff(17829,plain,
% 8.09/6.05 (v114(constB117)),
% 8.09/6.05 inference(unit_resolution,[status(thm)],[17828, 17827, 17801])).
% 8.09/6.05 tff(17830,plain,
% 8.09/6.05 ((v114(constB117) | v125(constB117)) | (~v114(constB117))),
% 8.09/6.05 inference(tautology,[status(thm)],[])).
% 8.09/6.05 tff(17831,plain,
% 8.09/6.05 (v114(constB117) | v125(constB117)),
% 8.09/6.05 inference(unit_resolution,[status(thm)],[17830, 17829])).
% 8.09/6.05 tff(17832,plain,
% 8.09/6.05 ((~(v113(constB117) <=> (v114(constB117) | v125(constB117)))) | v113(constB117) | (~(v114(constB117) | v125(constB117)))),
% 8.09/6.05 inference(tautology,[status(thm)],[])).
% 8.09/6.05 tff(17833,plain,
% 8.09/6.05 (v113(constB117)),
% 8.09/6.05 inference(unit_resolution,[status(thm)],[17832, 17831, 17799])).
% 8.09/6.05 tff(17834,plain,
% 8.09/6.05 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB117)) <=> v111(constB117))),
% 8.09/6.05 inference(quant_inst,[status(thm)],[])).
% 8.09/6.05 tff(17835,plain,
% 8.09/6.05 ((~v126(constB117)) <=> v111(constB117)),
% 8.09/6.05 inference(unit_resolution,[status(thm)],[17834, 3396])).
% 8.09/6.05 tff(17836,plain,
% 8.09/6.05 ((~((~v126(constB117)) <=> v111(constB117))) | v126(constB117) | v111(constB117)),
% 8.09/6.05 inference(tautology,[status(thm)],[])).
% 8.09/6.05 tff(17837,plain,
% 8.09/6.05 ((~((~v126(constB117)) <=> v111(constB117))) | v126(constB117)),
% 8.09/6.05 inference(unit_resolution,[status(thm)],[17836, 17488])).
% 8.09/6.05 tff(17838,plain,
% 8.09/6.05 (v126(constB117)),
% 8.09/6.05 inference(unit_resolution,[status(thm)],[17837, 17835])).
% 8.09/6.05 tff(17839,plain,
% 8.09/6.05 ((~((~v113(constB117)) | (~v126(constB117)))) | (~v113(constB117)) | (~v126(constB117))),
% 8.09/6.05 inference(tautology,[status(thm)],[])).
% 8.09/6.05 tff(17840,plain,
% 8.09/6.05 ((~((~v113(constB117)) | (~v126(constB117)))) | (~v113(constB117))),
% 8.09/6.05 inference(unit_resolution,[status(thm)],[17839, 17838])).
% 8.09/6.05 tff(17841,plain,
% 8.09/6.05 (~((~v113(constB117)) | (~v126(constB117)))),
% 8.09/6.05 inference(unit_resolution,[status(thm)],[17840, 17833])).
% 8.09/6.05 tff(17842,plain,
% 8.09/6.05 ((~(v112(constB117) <=> (~((~v113(constB117)) | (~v126(constB117)))))) | v112(constB117) | ((~v113(constB117)) | (~v126(constB117)))),
% 8.09/6.05 inference(tautology,[status(thm)],[])).
% 8.09/6.05 tff(17843,plain,
% 8.09/6.05 (v112(constB117)),
% 8.09/6.05 inference(unit_resolution,[status(thm)],[17842, 17841, 17797])).
% 8.09/6.05 tff(17844,plain,
% 8.09/6.05 ((v111(constB117) | v112(constB117)) | (~v112(constB117))),
% 8.09/6.05 inference(tautology,[status(thm)],[])).
% 8.09/6.05 tff(17845,plain,
% 8.09/6.05 (v111(constB117) | v112(constB117)),
% 8.09/6.05 inference(unit_resolution,[status(thm)],[17844, 17843])).
% 8.09/6.05 tff(17846,plain,
% 8.09/6.05 ((~(v108(constB117) <=> (v111(constB117) | v112(constB117)))) | v108(constB117) | (~(v111(constB117) | v112(constB117)))),
% 8.09/6.05 inference(tautology,[status(thm)],[])).
% 8.09/6.05 tff(17847,plain,
% 8.09/6.05 (v108(constB117)),
% 8.09/6.05 inference(unit_resolution,[status(thm)],[17846, 17845, 17795])).
% 8.09/6.05 tff(17848,plain,
% 8.09/6.05 ((~(v110(constB118) <=> v108(constB117))) | v110(constB118) | (~v108(constB117))),
% 8.09/6.05 inference(tautology,[status(thm)],[])).
% 8.09/6.05 tff(17849,plain,
% 8.09/6.05 (v110(constB118)),
% 8.09/6.05 inference(unit_resolution,[status(thm)],[17848, 17847, 17793])).
% 8.09/6.05 tff(17850,plain,
% 8.09/6.05 ((~((~v101(constB118)) | (~v110(constB118)))) | (~v101(constB118)) | (~v110(constB118))),
% 8.09/6.05 inference(tautology,[status(thm)],[])).
% 8.09/6.05 tff(17851,plain,
% 8.09/6.05 (~((~v101(constB118)) | (~v110(constB118)))),
% 8.09/6.05 inference(unit_resolution,[status(thm)],[17850, 17849, 17789])).
% 8.09/6.05 tff(17852,plain,
% 8.09/6.05 ((~(v100(constB118) <=> (~((~v101(constB118)) | (~v110(constB118)))))) | v100(constB118) | ((~v101(constB118)) | (~v110(constB118)))),
% 8.09/6.05 inference(tautology,[status(thm)],[])).
% 8.09/6.05 tff(17853,plain,
% 8.09/6.05 (v100(constB118)),
% 8.09/6.05 inference(unit_resolution,[status(thm)],[17852, 17851, 17761])).
% 8.09/6.05 tff(17854,plain,
% 8.09/6.05 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB118)) | (~(((~v90(constB118, bitIndex0)) <=> v129(constB118, bitIndex0)) | ((~v90(constB118, bitIndex2)) <=> v129(constB118, bitIndex2)) | ((~v90(constB118, bitIndex1)) <=> v129(constB118, bitIndex1)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB118)) | (~(((~v90(constB118, bitIndex0)) <=> v129(constB118, bitIndex0)) | ((~v90(constB118, bitIndex2)) <=> v129(constB118, bitIndex2)) | ((~v90(constB118, bitIndex1)) <=> v129(constB118, bitIndex1)))))),
% 8.09/6.05 inference(rewrite,[status(thm)],[])).
% 8.09/6.05 tff(17855,plain,
% 8.09/6.05 (((~v100(constB118)) | (~(((~v90(constB118, bitIndex2)) <=> v129(constB118, bitIndex2)) | ((~v90(constB118, bitIndex1)) <=> v129(constB118, bitIndex1)) | ((~v90(constB118, bitIndex0)) <=> v129(constB118, bitIndex0))))) <=> ((~v100(constB118)) | (~(((~v90(constB118, bitIndex0)) <=> v129(constB118, bitIndex0)) | ((~v90(constB118, bitIndex2)) <=> v129(constB118, bitIndex2)) | ((~v90(constB118, bitIndex1)) <=> v129(constB118, bitIndex1)))))),
% 8.09/6.05 inference(rewrite,[status(thm)],[])).
% 8.09/6.06 tff(17856,plain,
% 8.09/6.06 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB118)) | (~(((~v90(constB118, bitIndex2)) <=> v129(constB118, bitIndex2)) | ((~v90(constB118, bitIndex1)) <=> v129(constB118, bitIndex1)) | ((~v90(constB118, bitIndex0)) <=> v129(constB118, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB118)) | (~(((~v90(constB118, bitIndex0)) <=> v129(constB118, bitIndex0)) | ((~v90(constB118, bitIndex2)) <=> v129(constB118, bitIndex2)) | ((~v90(constB118, bitIndex1)) <=> v129(constB118, bitIndex1))))))),
% 8.09/6.06 inference(monotonicity,[status(thm)],[17855])).
% 8.09/6.06 tff(17857,plain,
% 8.09/6.06 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB118)) | (~(((~v90(constB118, bitIndex2)) <=> v129(constB118, bitIndex2)) | ((~v90(constB118, bitIndex1)) <=> v129(constB118, bitIndex1)) | ((~v90(constB118, bitIndex0)) <=> v129(constB118, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB118)) | (~(((~v90(constB118, bitIndex0)) <=> v129(constB118, bitIndex0)) | ((~v90(constB118, bitIndex2)) <=> v129(constB118, bitIndex2)) | ((~v90(constB118, bitIndex1)) <=> v129(constB118, bitIndex1)))))),
% 8.09/6.06 inference(transitivity,[status(thm)],[17856, 17854])).
% 8.09/6.06 tff(17858,plain,
% 8.09/6.06 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB118)) | (~(((~v90(constB118, bitIndex2)) <=> v129(constB118, bitIndex2)) | ((~v90(constB118, bitIndex1)) <=> v129(constB118, bitIndex1)) | ((~v90(constB118, bitIndex0)) <=> v129(constB118, bitIndex0)))))),
% 8.09/6.06 inference(quant_inst,[status(thm)],[])).
% 8.09/6.06 tff(17859,plain,
% 8.09/6.06 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB118)) | (~(((~v90(constB118, bitIndex0)) <=> v129(constB118, bitIndex0)) | ((~v90(constB118, bitIndex2)) <=> v129(constB118, bitIndex2)) | ((~v90(constB118, bitIndex1)) <=> v129(constB118, bitIndex1))))),
% 8.09/6.06 inference(modus_ponens,[status(thm)],[17858, 17857])).
% 8.09/6.06 tff(17860,plain,
% 8.09/6.06 ((~v100(constB118)) | (~(((~v90(constB118, bitIndex0)) <=> v129(constB118, bitIndex0)) | ((~v90(constB118, bitIndex2)) <=> v129(constB118, bitIndex2)) | ((~v90(constB118, bitIndex1)) <=> v129(constB118, bitIndex1))))),
% 8.09/6.06 inference(unit_resolution,[status(thm)],[17859, 3429])).
% 8.09/6.06 tff(17861,plain,
% 8.09/6.06 (~(((~v90(constB118, bitIndex0)) <=> v129(constB118, bitIndex0)) | ((~v90(constB118, bitIndex2)) <=> v129(constB118, bitIndex2)) | ((~v90(constB118, bitIndex1)) <=> v129(constB118, bitIndex1)))),
% 8.09/6.06 inference(unit_resolution,[status(thm)],[17860, 17853])).
% 8.09/6.06 tff(17862,plain,
% 8.09/6.06 ((((~v90(constB118, bitIndex0)) <=> v129(constB118, bitIndex0)) | ((~v90(constB118, bitIndex2)) <=> v129(constB118, bitIndex2)) | ((~v90(constB118, bitIndex1)) <=> v129(constB118, bitIndex1))) | (~((~v90(constB118, bitIndex2)) <=> v129(constB118, bitIndex2)))),
% 8.09/6.06 inference(tautology,[status(thm)],[])).
% 8.09/6.06 tff(17863,plain,
% 8.09/6.06 (~((~v90(constB118, bitIndex2)) <=> v129(constB118, bitIndex2))),
% 8.09/6.06 inference(unit_resolution,[status(thm)],[17862, 17861])).
% 8.09/6.06 tff(17864,plain,
% 8.09/6.06 (((~v90(constB118, bitIndex2)) <=> v129(constB118, bitIndex2)) | (~v90(constB118, bitIndex2)) | v129(constB118, bitIndex2)),
% 8.09/6.06 inference(tautology,[status(thm)],[])).
% 8.09/6.06 tff(17865,plain,
% 8.09/6.06 (~v90(constB118, bitIndex2)),
% 8.09/6.06 inference(unit_resolution,[status(thm)],[17864, 17863, 17757])).
% 8.09/6.06 tff(17866,plain,
% 8.09/6.06 (((~v90(constB119, bitIndex2)) <=> v90(constB118, bitIndex2)) | (~v90(constB119, bitIndex2)) | v90(constB118, bitIndex2)),
% 8.09/6.06 inference(tautology,[status(thm)],[])).
% 8.09/6.06 tff(17867,plain,
% 8.09/6.06 (~v90(constB119, bitIndex2)),
% 8.09/6.06 inference(unit_resolution,[status(thm)],[17866, 17865, 17472])).
% 8.09/6.06 tff(17868,plain,
% 8.09/6.06 ((((~v90(constB119, bitIndex1)) <=> v90(constB118, bitIndex1)) | ((~v90(constB119, bitIndex2)) <=> v90(constB118, bitIndex2)) | ((~v90(constB119, bitIndex0)) <=> v90(constB118, bitIndex0))) | (~((~v90(constB119, bitIndex0)) <=> v90(constB118, bitIndex0)))),
% 8.09/6.06 inference(tautology,[status(thm)],[])).
% 8.09/6.06 tff(17869,plain,
% 8.09/6.06 (~((~v90(constB119, bitIndex0)) <=> v90(constB118, bitIndex0))),
% 8.09/6.06 inference(unit_resolution,[status(thm)],[17868, 17470])).
% 8.09/6.06 tff(17870,plain,
% 8.09/6.06 ((((~v129(constB118, bitIndex2)) <=> v127(constB117, bitIndex2)) | ((~v129(constB118, bitIndex1)) <=> v127(constB117, bitIndex1)) | ((~v129(constB118, bitIndex0)) <=> v127(constB117, bitIndex0))) | (~((~v129(constB118, bitIndex0)) <=> v127(constB117, bitIndex0)))),
% 8.09/6.06 inference(tautology,[status(thm)],[])).
% 8.09/6.06 tff(17871,plain,
% 8.09/6.06 (~((~v129(constB118, bitIndex0)) <=> v127(constB117, bitIndex0))),
% 8.09/6.06 inference(unit_resolution,[status(thm)],[17870, 17479])).
% 8.09/6.06 tff(17872,plain,
% 8.09/6.06 ((((~v127(constB117, bitIndex2)) <=> v130(constB117, bitIndex2)) | ((~v127(constB117, bitIndex1)) <=> v130(constB117, bitIndex1)) | ((~v127(constB117, bitIndex0)) <=> v130(constB117, bitIndex0))) | (~((~v127(constB117, bitIndex0)) <=> v130(constB117, bitIndex0)))),
% 8.09/6.06 inference(tautology,[status(thm)],[])).
% 8.09/6.06 tff(17873,plain,
% 8.09/6.06 (~((~v127(constB117, bitIndex0)) <=> v130(constB117, bitIndex0))),
% 8.09/6.06 inference(unit_resolution,[status(thm)],[17872, 17493])).
% 8.09/6.06 tff(17874,plain,
% 8.09/6.06 ((v130(constB117, bitIndex2) | v130(constB117, bitIndex0) | (~v130(constB117, bitIndex1))) | (~v130(constB117, bitIndex0))),
% 8.09/6.06 inference(tautology,[status(thm)],[])).
% 8.09/6.06 tff(17875,plain,
% 8.09/6.06 (~v130(constB117, bitIndex0)),
% 8.09/6.06 inference(unit_resolution,[status(thm)],[17874, 17751])).
% 8.09/6.06 tff(17876,plain,
% 8.09/6.06 (((~v127(constB117, bitIndex0)) <=> v130(constB117, bitIndex0)) | (~v127(constB117, bitIndex0)) | v130(constB117, bitIndex0)),
% 8.09/6.06 inference(tautology,[status(thm)],[])).
% 8.09/6.06 tff(17877,plain,
% 8.09/6.06 (~v127(constB117, bitIndex0)),
% 8.09/6.06 inference(unit_resolution,[status(thm)],[17876, 17875, 17873])).
% 8.09/6.06 tff(17878,plain,
% 8.09/6.06 (((~v129(constB118, bitIndex0)) <=> v127(constB117, bitIndex0)) | (~v129(constB118, bitIndex0)) | v127(constB117, bitIndex0)),
% 8.09/6.06 inference(tautology,[status(thm)],[])).
% 8.09/6.06 tff(17879,plain,
% 8.09/6.06 (~v129(constB118, bitIndex0)),
% 8.09/6.06 inference(unit_resolution,[status(thm)],[17878, 17877, 17871])).
% 8.09/6.06 tff(17880,plain,
% 8.09/6.06 ((((~v90(constB118, bitIndex0)) <=> v129(constB118, bitIndex0)) | ((~v90(constB118, bitIndex2)) <=> v129(constB118, bitIndex2)) | ((~v90(constB118, bitIndex1)) <=> v129(constB118, bitIndex1))) | (~((~v90(constB118, bitIndex0)) <=> v129(constB118, bitIndex0)))),
% 8.09/6.06 inference(tautology,[status(thm)],[])).
% 8.09/6.06 tff(17881,plain,
% 8.09/6.06 (~((~v90(constB118, bitIndex0)) <=> v129(constB118, bitIndex0))),
% 8.09/6.06 inference(unit_resolution,[status(thm)],[17880, 17861])).
% 8.09/6.06 tff(17882,plain,
% 8.09/6.06 (((~v90(constB118, bitIndex0)) <=> v129(constB118, bitIndex0)) | (~v90(constB118, bitIndex0)) | v129(constB118, bitIndex0)),
% 8.09/6.06 inference(tautology,[status(thm)],[])).
% 8.09/6.06 tff(17883,plain,
% 8.09/6.06 (~v90(constB118, bitIndex0)),
% 8.09/6.06 inference(unit_resolution,[status(thm)],[17882, 17881, 17879])).
% 8.09/6.06 tff(17884,plain,
% 8.09/6.06 (((~v90(constB119, bitIndex0)) <=> v90(constB118, bitIndex0)) | (~v90(constB119, bitIndex0)) | v90(constB118, bitIndex0)),
% 8.09/6.06 inference(tautology,[status(thm)],[])).
% 8.09/6.06 tff(17885,plain,
% 8.09/6.06 (~v90(constB119, bitIndex0)),
% 8.09/6.06 inference(unit_resolution,[status(thm)],[17884, 17883, 17869])).
% 8.09/6.06 tff(17886,plain,
% 8.09/6.06 ((((~v90(constB119, bitIndex1)) <=> v90(constB118, bitIndex1)) | ((~v90(constB119, bitIndex2)) <=> v90(constB118, bitIndex2)) | ((~v90(constB119, bitIndex0)) <=> v90(constB118, bitIndex0))) | (~((~v90(constB119, bitIndex1)) <=> v90(constB118, bitIndex1)))),
% 8.09/6.06 inference(tautology,[status(thm)],[])).
% 8.09/6.06 tff(17887,plain,
% 8.09/6.06 (~((~v90(constB119, bitIndex1)) <=> v90(constB118, bitIndex1))),
% 8.09/6.06 inference(unit_resolution,[status(thm)],[17886, 17470])).
% 8.09/6.06 tff(17888,plain,
% 8.09/6.06 ((((~v129(constB118, bitIndex2)) <=> v127(constB117, bitIndex2)) | ((~v129(constB118, bitIndex1)) <=> v127(constB117, bitIndex1)) | ((~v129(constB118, bitIndex0)) <=> v127(constB117, bitIndex0))) | (~((~v129(constB118, bitIndex1)) <=> v127(constB117, bitIndex1)))),
% 8.09/6.06 inference(tautology,[status(thm)],[])).
% 8.09/6.06 tff(17889,plain,
% 8.09/6.06 (~((~v129(constB118, bitIndex1)) <=> v127(constB117, bitIndex1))),
% 8.09/6.06 inference(unit_resolution,[status(thm)],[17888, 17479])).
% 8.09/6.06 tff(17890,plain,
% 8.09/6.06 ((((~v127(constB117, bitIndex2)) <=> v130(constB117, bitIndex2)) | ((~v127(constB117, bitIndex1)) <=> v130(constB117, bitIndex1)) | ((~v127(constB117, bitIndex0)) <=> v130(constB117, bitIndex0))) | (~((~v127(constB117, bitIndex1)) <=> v130(constB117, bitIndex1)))),
% 8.09/6.06 inference(tautology,[status(thm)],[])).
% 8.09/6.06 tff(17891,plain,
% 8.09/6.06 (~((~v127(constB117, bitIndex1)) <=> v130(constB117, bitIndex1))),
% 8.09/6.06 inference(unit_resolution,[status(thm)],[17890, 17493])).
% 8.09/6.06 tff(17892,plain,
% 8.09/6.06 ((v130(constB117, bitIndex2) | v130(constB117, bitIndex0) | (~v130(constB117, bitIndex1))) | v130(constB117, bitIndex1)),
% 8.09/6.06 inference(tautology,[status(thm)],[])).
% 8.09/6.06 tff(17893,plain,
% 8.09/6.06 (v130(constB117, bitIndex1)),
% 8.09/6.06 inference(unit_resolution,[status(thm)],[17892, 17751])).
% 8.09/6.06 tff(17894,plain,
% 8.09/6.06 (((~v127(constB117, bitIndex1)) <=> v130(constB117, bitIndex1)) | v127(constB117, bitIndex1) | (~v130(constB117, bitIndex1))),
% 8.09/6.06 inference(tautology,[status(thm)],[])).
% 8.09/6.06 tff(17895,plain,
% 8.09/6.06 (v127(constB117, bitIndex1)),
% 8.09/6.06 inference(unit_resolution,[status(thm)],[17894, 17893, 17891])).
% 8.09/6.06 tff(17896,plain,
% 8.09/6.06 (((~v129(constB118, bitIndex1)) <=> v127(constB117, bitIndex1)) | v129(constB118, bitIndex1) | (~v127(constB117, bitIndex1))),
% 8.09/6.06 inference(tautology,[status(thm)],[])).
% 8.09/6.06 tff(17897,plain,
% 8.09/6.06 (v129(constB118, bitIndex1)),
% 8.09/6.06 inference(unit_resolution,[status(thm)],[17896, 17895, 17889])).
% 8.09/6.06 tff(17898,plain,
% 8.09/6.06 ((((~v90(constB118, bitIndex0)) <=> v129(constB118, bitIndex0)) | ((~v90(constB118, bitIndex2)) <=> v129(constB118, bitIndex2)) | ((~v90(constB118, bitIndex1)) <=> v129(constB118, bitIndex1))) | (~((~v90(constB118, bitIndex1)) <=> v129(constB118, bitIndex1)))),
% 8.09/6.06 inference(tautology,[status(thm)],[])).
% 8.09/6.06 tff(17899,plain,
% 8.09/6.06 (~((~v90(constB118, bitIndex1)) <=> v129(constB118, bitIndex1))),
% 8.09/6.06 inference(unit_resolution,[status(thm)],[17898, 17861])).
% 8.09/6.06 tff(17900,plain,
% 8.09/6.06 (((~v90(constB118, bitIndex1)) <=> v129(constB118, bitIndex1)) | v90(constB118, bitIndex1) | (~v129(constB118, bitIndex1))),
% 8.09/6.06 inference(tautology,[status(thm)],[])).
% 8.09/6.06 tff(17901,plain,
% 8.09/6.06 (v90(constB118, bitIndex1)),
% 8.09/6.06 inference(unit_resolution,[status(thm)],[17900, 17899, 17897])).
% 8.09/6.06 tff(17902,plain,
% 8.09/6.06 (((~v90(constB119, bitIndex1)) <=> v90(constB118, bitIndex1)) | v90(constB119, bitIndex1) | (~v90(constB118, bitIndex1))),
% 8.09/6.06 inference(tautology,[status(thm)],[])).
% 8.09/6.06 tff(17903,plain,
% 8.09/6.06 (v90(constB119, bitIndex1)),
% 8.09/6.06 inference(unit_resolution,[status(thm)],[17902, 17901, 17887])).
% 8.09/6.06 tff(17904,plain,
% 8.09/6.06 ((~(v90(constB119, bitIndex2) | v90(constB119, bitIndex0) | (~v90(constB119, bitIndex1)))) | v90(constB119, bitIndex2) | v90(constB119, bitIndex0) | (~v90(constB119, bitIndex1))),
% 8.09/6.06 inference(tautology,[status(thm)],[])).
% 8.09/6.06 tff(17905,plain,
% 8.09/6.06 (~(v90(constB119, bitIndex2) | v90(constB119, bitIndex0) | (~v90(constB119, bitIndex1)))),
% 8.09/6.06 inference(unit_resolution,[status(thm)],[17904, 17903, 17885, 17867])).
% 8.09/6.06 tff(17906,plain,
% 8.09/6.06 ((~(v121(constB119) <=> (~(v90(constB119, bitIndex2) | v90(constB119, bitIndex0) | (~v90(constB119, bitIndex1)))))) | v121(constB119) | (v90(constB119, bitIndex2) | v90(constB119, bitIndex0) | (~v90(constB119, bitIndex1)))),
% 8.09/6.06 inference(tautology,[status(thm)],[])).
% 8.09/6.06 tff(17907,plain,
% 8.09/6.06 (v121(constB119)),
% 8.09/6.06 inference(unit_resolution,[status(thm)],[17906, 17905, 17436])).
% 8.09/6.06 tff(17908,plain,
% 8.09/6.06 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB119)) | (~(v130(constB119, bitIndex2) | (~v130(constB119, bitIndex1)) | (~v130(constB119, bitIndex0)))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | (~v121(constB119)) | (~(v130(constB119, bitIndex2) | (~v130(constB119, bitIndex1)) | (~v130(constB119, bitIndex0)))))),
% 8.09/6.06 inference(rewrite,[status(thm)],[])).
% 8.09/6.06 tff(17909,plain,
% 8.09/6.06 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB119)) | (~(v130(constB119, bitIndex2) | (~v130(constB119, bitIndex1)) | (~v130(constB119, bitIndex0)))))),
% 8.09/6.06 inference(quant_inst,[status(thm)],[])).
% 8.09/6.06 tff(17910,plain,
% 8.09/6.06 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | (~v121(constB119)) | (~(v130(constB119, bitIndex2) | (~v130(constB119, bitIndex1)) | (~v130(constB119, bitIndex0))))),
% 8.09/6.06 inference(modus_ponens,[status(thm)],[17909, 17908])).
% 8.09/6.06 tff(17911,plain,
% 8.09/6.06 ((~v121(constB119)) | (~(v130(constB119, bitIndex2) | (~v130(constB119, bitIndex1)) | (~v130(constB119, bitIndex0))))),
% 8.09/6.06 inference(unit_resolution,[status(thm)],[17910, 4055])).
% 8.09/6.06 tff(17912,plain,
% 8.09/6.06 (~(v130(constB119, bitIndex2) | (~v130(constB119, bitIndex1)) | (~v130(constB119, bitIndex0)))),
% 8.09/6.06 inference(unit_resolution,[status(thm)],[17911, 17907])).
% 8.09/6.06 tff(17913,plain,
% 8.09/6.06 ((v130(constB119, bitIndex2) | (~v130(constB119, bitIndex1)) | (~v130(constB119, bitIndex0))) | (~v130(constB119, bitIndex2))),
% 8.09/6.06 inference(tautology,[status(thm)],[])).
% 8.09/6.06 tff(17914,plain,
% 8.09/6.06 (~v130(constB119, bitIndex2)),
% 8.09/6.06 inference(unit_resolution,[status(thm)],[17913, 17912])).
% 8.09/6.06 tff(17915,plain,
% 8.09/6.06 (((~v127(constB119, bitIndex2)) <=> v130(constB119, bitIndex2)) | (~v127(constB119, bitIndex2)) | v130(constB119, bitIndex2)),
% 8.09/6.06 inference(tautology,[status(thm)],[])).
% 8.09/6.06 tff(17916,plain,
% 8.09/6.06 (~v127(constB119, bitIndex2)),
% 8.09/6.06 inference(unit_resolution,[status(thm)],[17915, 17914, 17429])).
% 8.09/6.06 tff(17917,plain,
% 8.09/6.06 (((~v129(constB120, bitIndex2)) <=> v127(constB119, bitIndex2)) | (~v129(constB120, bitIndex2)) | v127(constB119, bitIndex2)),
% 8.09/6.06 inference(tautology,[status(thm)],[])).
% 8.09/6.06 tff(17918,plain,
% 8.09/6.06 (~v129(constB120, bitIndex2)),
% 8.09/6.06 inference(unit_resolution,[status(thm)],[17917, 17916, 17415])).
% 8.09/6.06 tff(17919,plain,
% 8.09/6.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB119, constB120)) | (v100(constB120) <=> (~((~v101(constB120)) | (~v110(constB120))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB119, constB120)) | (v100(constB120) <=> (~((~v101(constB120)) | (~v110(constB120))))))),
% 8.09/6.06 inference(rewrite,[status(thm)],[])).
% 8.09/6.06 tff(17920,plain,
% 8.09/6.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB119, constB120)) | (v100(constB120) <=> (~((~v101(constB120)) | (~v110(constB120))))))),
% 8.09/6.06 inference(quant_inst,[status(thm)],[])).
% 8.09/6.06 tff(17921,plain,
% 8.09/6.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB119, constB120)) | (v100(constB120) <=> (~((~v101(constB120)) | (~v110(constB120)))))),
% 8.09/6.06 inference(modus_ponens,[status(thm)],[17920, 17919])).
% 8.09/6.06 tff(17922,plain,
% 8.09/6.06 (v100(constB120) <=> (~((~v101(constB120)) | (~v110(constB120))))),
% 8.09/6.06 inference(unit_resolution,[status(thm)],[17921, 17409, 445])).
% 8.09/6.06 tff(17923,plain,
% 8.09/6.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB119, constB120)) | (v101(constB120) <=> (~((~v1(constB120)) | (~v102(constB120))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB119, constB120)) | (v101(constB120) <=> (~((~v1(constB120)) | (~v102(constB120))))))),
% 8.09/6.06 inference(rewrite,[status(thm)],[])).
% 8.09/6.06 tff(17924,plain,
% 8.09/6.06 (((~nextState(constB119, constB120)) | (v101(constB120) <=> (~((~v102(constB120)) | (~v1(constB120)))))) <=> ((~nextState(constB119, constB120)) | (v101(constB120) <=> (~((~v1(constB120)) | (~v102(constB120))))))),
% 8.09/6.06 inference(rewrite,[status(thm)],[])).
% 8.09/6.06 tff(17925,plain,
% 8.09/6.06 (((~![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) <=> (~((~v1(constB120)) | (~v102(constB120)))))))),
% 8.09/6.06 inference(monotonicity,[status(thm)],[17924])).
% 8.09/6.06 tff(17926,plain,
% 8.09/6.06 (((~![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) <=> (~((~v1(constB120)) | (~v102(constB120))))))),
% 8.09/6.06 inference(transitivity,[status(thm)],[17925, 17923])).
% 8.09/6.06 tff(17927,plain,
% 8.09/6.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB119, constB120)) | (v101(constB120) <=> (~((~v102(constB120)) | (~v1(constB120))))))),
% 8.09/6.06 inference(quant_inst,[status(thm)],[])).
% 8.09/6.06 tff(17928,plain,
% 8.09/6.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB119, constB120)) | (v101(constB120) <=> (~((~v1(constB120)) | (~v102(constB120)))))),
% 8.09/6.06 inference(modus_ponens,[status(thm)],[17927, 17926])).
% 8.09/6.06 tff(17929,plain,
% 8.09/6.06 (v101(constB120) <=> (~((~v1(constB120)) | (~v102(constB120))))),
% 8.09/6.06 inference(unit_resolution,[status(thm)],[17928, 17409, 465])).
% 8.09/6.06 tff(17930,plain,
% 8.09/6.06 (((~![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)))),
% 8.09/6.06 inference(rewrite,[status(thm)],[])).
% 8.09/6.06 tff(17931,plain,
% 8.09/6.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB119, constB120)) | ((~v102(constB120)) <=> v104(constB120)))),
% 8.09/6.06 inference(quant_inst,[status(thm)],[])).
% 8.09/6.06 tff(17932,plain,
% 8.09/6.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB119, constB120)) | ((~v102(constB120)) <=> v104(constB120))),
% 8.09/6.06 inference(modus_ponens,[status(thm)],[17931, 17930])).
% 8.09/6.06 tff(17933,plain,
% 8.09/6.06 ((~v102(constB120)) <=> v104(constB120)),
% 8.09/6.06 inference(unit_resolution,[status(thm)],[17932, 17409, 3244])).
% 8.09/6.06 tff(17934,plain,
% 8.09/6.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB119, constB120)) | (v104(constB120) <=> v1(constB119)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB119, constB120)) | (v104(constB120) <=> v1(constB119)))),
% 8.09/6.06 inference(rewrite,[status(thm)],[])).
% 8.09/6.06 tff(17935,plain,
% 8.09/6.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB119, constB120)) | (v104(constB120) <=> v1(constB119)))),
% 8.09/6.06 inference(quant_inst,[status(thm)],[])).
% 8.09/6.06 tff(17936,plain,
% 8.09/6.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB119, constB120)) | (v104(constB120) <=> v1(constB119))),
% 8.09/6.06 inference(modus_ponens,[status(thm)],[17935, 17934])).
% 8.09/6.06 tff(17937,plain,
% 8.09/6.06 (v104(constB120) <=> v1(constB119)),
% 8.09/6.06 inference(unit_resolution,[status(thm)],[17936, 17409, 3258])).
% 8.09/6.06 tff(17938,plain,
% 8.09/6.06 ((~(v104(constB120) <=> v1(constB119))) | (~v104(constB120)) | v1(constB119)),
% 8.09/6.06 inference(tautology,[status(thm)],[])).
% 8.09/6.06 tff(17939,plain,
% 8.09/6.06 ((~(v104(constB120) <=> v1(constB119))) | (~v104(constB120))),
% 8.09/6.06 inference(unit_resolution,[status(thm)],[17938, 17453])).
% 8.09/6.06 tff(17940,plain,
% 8.09/6.06 (~v104(constB120)),
% 8.09/6.06 inference(unit_resolution,[status(thm)],[17939, 17937])).
% 8.09/6.06 tff(17941,plain,
% 8.09/6.06 ((~((~v102(constB120)) <=> v104(constB120))) | v102(constB120) | v104(constB120)),
% 8.09/6.06 inference(tautology,[status(thm)],[])).
% 8.09/6.06 tff(17942,plain,
% 8.09/6.06 (v102(constB120)),
% 8.09/6.06 inference(unit_resolution,[status(thm)],[17941, 17940, 17933])).
% 8.09/6.06 tff(17943,plain,
% 8.09/6.06 (v1(constB120) <=> v1(constB120)),
% 8.09/6.06 inference(rewrite,[status(thm)],[])).
% 8.09/6.06 tff(17944,axiom,(v1(constB120)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_120')).
% 8.09/6.06 tff(17945,plain,
% 8.09/6.06 (v1(constB120)),
% 8.09/6.06 inference(modus_ponens,[status(thm)],[17944, 17943])).
% 8.09/6.06 tff(17946,plain,
% 8.09/6.06 ((~((~v1(constB120)) | (~v102(constB120)))) | (~v1(constB120)) | (~v102(constB120))),
% 8.09/6.06 inference(tautology,[status(thm)],[])).
% 8.09/6.06 tff(17947,plain,
% 8.09/6.06 ((~((~v1(constB120)) | (~v102(constB120)))) | (~v102(constB120))),
% 8.09/6.06 inference(unit_resolution,[status(thm)],[17946, 17945])).
% 8.09/6.06 tff(17948,plain,
% 8.09/6.06 (~((~v1(constB120)) | (~v102(constB120)))),
% 8.09/6.06 inference(unit_resolution,[status(thm)],[17947, 17942])).
% 8.09/6.06 tff(17949,plain,
% 8.09/6.06 ((~(v101(constB120) <=> (~((~v1(constB120)) | (~v102(constB120)))))) | v101(constB120) | ((~v1(constB120)) | (~v102(constB120)))),
% 8.09/6.06 inference(tautology,[status(thm)],[])).
% 8.09/6.06 tff(17950,plain,
% 8.09/6.06 (v101(constB120)),
% 8.09/6.06 inference(unit_resolution,[status(thm)],[17949, 17948, 17929])).
% 8.09/6.06 tff(17951,plain,
% 8.09/6.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB119, constB120)) | (v110(constB120) <=> v108(constB119)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB119, constB120)) | (v110(constB120) <=> v108(constB119)))),
% 8.09/6.06 inference(rewrite,[status(thm)],[])).
% 8.09/6.06 tff(17952,plain,
% 8.09/6.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB119, constB120)) | (v110(constB120) <=> v108(constB119)))),
% 8.09/6.06 inference(quant_inst,[status(thm)],[])).
% 8.09/6.06 tff(17953,plain,
% 8.09/6.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB119, constB120)) | (v110(constB120) <=> v108(constB119))),
% 8.09/6.06 inference(modus_ponens,[status(thm)],[17952, 17951])).
% 8.09/6.06 tff(17954,plain,
% 8.09/6.06 (v110(constB120) <=> v108(constB119)),
% 8.09/6.06 inference(unit_resolution,[status(thm)],[17953, 17409, 3285])).
% 8.09/6.06 tff(17955,plain,
% 8.09/6.06 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB119) <=> (v111(constB119) | v112(constB119)))),
% 8.09/6.06 inference(quant_inst,[status(thm)],[])).
% 8.09/6.06 tff(17956,plain,
% 8.09/6.06 (v108(constB119) <=> (v111(constB119) | v112(constB119))),
% 8.09/6.06 inference(unit_resolution,[status(thm)],[17955, 3296])).
% 8.09/6.06 tff(17957,plain,
% 8.09/6.06 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB119) <=> (~((~v113(constB119)) | (~v126(constB119)))))),
% 8.09/6.06 inference(quant_inst,[status(thm)],[])).
% 8.09/6.06 tff(17958,plain,
% 8.09/6.06 (v112(constB119) <=> (~((~v113(constB119)) | (~v126(constB119))))),
% 8.09/6.06 inference(unit_resolution,[status(thm)],[17957, 3308])).
% 8.09/6.06 tff(17959,plain,
% 8.09/6.06 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB119) <=> (v114(constB119) | v125(constB119)))),
% 8.09/6.06 inference(quant_inst,[status(thm)],[])).
% 8.09/6.06 tff(17960,plain,
% 8.09/6.06 (v113(constB119) <=> (v114(constB119) | v125(constB119))),
% 8.09/6.06 inference(unit_resolution,[status(thm)],[17959, 3317])).
% 8.09/6.06 tff(17961,plain,
% 8.09/6.06 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB119) <=> (v115(constB119) | v124(constB119)))),
% 8.09/6.06 inference(quant_inst,[status(thm)],[])).
% 8.09/6.06 tff(17962,plain,
% 8.09/6.06 (v114(constB119) <=> (v115(constB119) | v124(constB119))),
% 8.09/6.06 inference(unit_resolution,[status(thm)],[17961, 3326])).
% 8.09/6.06 tff(17963,plain,
% 8.09/6.06 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB119) <=> (v116(constB119) | v123(constB119)))),
% 8.09/6.06 inference(quant_inst,[status(thm)],[])).
% 8.09/6.06 tff(17964,plain,
% 8.09/6.06 (v115(constB119) <=> (v116(constB119) | v123(constB119))),
% 8.09/6.06 inference(unit_resolution,[status(thm)],[17963, 3335])).
% 8.09/6.06 tff(17965,plain,
% 8.09/6.06 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB119) <=> (v117(constB119) | v122(constB119)))),
% 8.09/6.06 inference(quant_inst,[status(thm)],[])).
% 8.09/6.06 tff(17966,plain,
% 8.09/6.06 (v116(constB119) <=> (v117(constB119) | v122(constB119))),
% 8.09/6.06 inference(unit_resolution,[status(thm)],[17965, 3344])).
% 8.09/6.06 tff(17967,plain,
% 8.09/6.06 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB119) <=> (v118(constB119) | v121(constB119)))),
% 8.09/6.06 inference(quant_inst,[status(thm)],[])).
% 8.09/6.06 tff(17968,plain,
% 8.09/6.06 (v117(constB119) <=> (v118(constB119) | v121(constB119))),
% 8.09/6.06 inference(unit_resolution,[status(thm)],[17967, 3353])).
% 8.09/6.06 tff(17969,plain,
% 8.09/6.06 ((v118(constB119) | v121(constB119)) | (~v121(constB119))),
% 8.09/6.06 inference(tautology,[status(thm)],[])).
% 8.09/6.06 tff(17970,plain,
% 8.09/6.06 (v118(constB119) | v121(constB119)),
% 8.09/6.06 inference(unit_resolution,[status(thm)],[17969, 17907])).
% 8.09/6.06 tff(17971,plain,
% 8.09/6.06 ((~(v117(constB119) <=> (v118(constB119) | v121(constB119)))) | v117(constB119) | (~(v118(constB119) | v121(constB119)))),
% 8.09/6.06 inference(tautology,[status(thm)],[])).
% 8.09/6.06 tff(17972,plain,
% 8.09/6.06 (v117(constB119)),
% 8.09/6.06 inference(unit_resolution,[status(thm)],[17971, 17970, 17968])).
% 8.09/6.06 tff(17973,plain,
% 8.09/6.06 ((v117(constB119) | v122(constB119)) | (~v117(constB119))),
% 8.09/6.06 inference(tautology,[status(thm)],[])).
% 8.09/6.06 tff(17974,plain,
% 8.09/6.06 (v117(constB119) | v122(constB119)),
% 8.09/6.06 inference(unit_resolution,[status(thm)],[17973, 17972])).
% 8.09/6.06 tff(17975,plain,
% 8.09/6.06 ((~(v116(constB119) <=> (v117(constB119) | v122(constB119)))) | v116(constB119) | (~(v117(constB119) | v122(constB119)))),
% 8.09/6.06 inference(tautology,[status(thm)],[])).
% 8.09/6.06 tff(17976,plain,
% 8.09/6.06 (v116(constB119)),
% 8.09/6.06 inference(unit_resolution,[status(thm)],[17975, 17974, 17966])).
% 8.09/6.06 tff(17977,plain,
% 8.09/6.06 ((v116(constB119) | v123(constB119)) | (~v116(constB119))),
% 8.09/6.06 inference(tautology,[status(thm)],[])).
% 8.09/6.06 tff(17978,plain,
% 8.09/6.06 (v116(constB119) | v123(constB119)),
% 8.09/6.06 inference(unit_resolution,[status(thm)],[17977, 17976])).
% 8.09/6.06 tff(17979,plain,
% 8.09/6.06 ((~(v115(constB119) <=> (v116(constB119) | v123(constB119)))) | v115(constB119) | (~(v116(constB119) | v123(constB119)))),
% 8.09/6.06 inference(tautology,[status(thm)],[])).
% 8.09/6.06 tff(17980,plain,
% 8.09/6.06 (v115(constB119)),
% 8.09/6.06 inference(unit_resolution,[status(thm)],[17979, 17978, 17964])).
% 8.09/6.06 tff(17981,plain,
% 8.09/6.06 ((v115(constB119) | v124(constB119)) | (~v115(constB119))),
% 8.09/6.06 inference(tautology,[status(thm)],[])).
% 8.09/6.06 tff(17982,plain,
% 8.09/6.06 (v115(constB119) | v124(constB119)),
% 8.09/6.06 inference(unit_resolution,[status(thm)],[17981, 17980])).
% 8.09/6.06 tff(17983,plain,
% 8.09/6.06 ((~(v114(constB119) <=> (v115(constB119) | v124(constB119)))) | v114(constB119) | (~(v115(constB119) | v124(constB119)))),
% 8.09/6.06 inference(tautology,[status(thm)],[])).
% 8.09/6.06 tff(17984,plain,
% 8.09/6.06 (v114(constB119)),
% 8.09/6.06 inference(unit_resolution,[status(thm)],[17983, 17982, 17962])).
% 8.09/6.06 tff(17985,plain,
% 8.09/6.06 ((v114(constB119) | v125(constB119)) | (~v114(constB119))),
% 8.09/6.06 inference(tautology,[status(thm)],[])).
% 8.09/6.06 tff(17986,plain,
% 8.09/6.06 (v114(constB119) | v125(constB119)),
% 8.09/6.06 inference(unit_resolution,[status(thm)],[17985, 17984])).
% 8.09/6.06 tff(17987,plain,
% 8.09/6.06 ((~(v113(constB119) <=> (v114(constB119) | v125(constB119)))) | v113(constB119) | (~(v114(constB119) | v125(constB119)))),
% 8.09/6.06 inference(tautology,[status(thm)],[])).
% 8.09/6.06 tff(17988,plain,
% 8.09/6.06 (v113(constB119)),
% 8.09/6.06 inference(unit_resolution,[status(thm)],[17987, 17986, 17960])).
% 8.09/6.06 tff(17989,plain,
% 8.09/6.06 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB119)) <=> v111(constB119))),
% 8.09/6.06 inference(quant_inst,[status(thm)],[])).
% 8.09/6.06 tff(17990,plain,
% 8.09/6.06 ((~v126(constB119)) <=> v111(constB119)),
% 8.09/6.06 inference(unit_resolution,[status(thm)],[17989, 3396])).
% 8.09/6.06 tff(17991,plain,
% 8.09/6.06 ((~((~v126(constB119)) <=> v111(constB119))) | v126(constB119) | v111(constB119)),
% 8.09/6.06 inference(tautology,[status(thm)],[])).
% 8.09/6.06 tff(17992,plain,
% 8.09/6.06 ((~((~v126(constB119)) <=> v111(constB119))) | v126(constB119)),
% 8.09/6.06 inference(unit_resolution,[status(thm)],[17991, 17422])).
% 8.09/6.06 tff(17993,plain,
% 8.09/6.06 (v126(constB119)),
% 8.09/6.06 inference(unit_resolution,[status(thm)],[17992, 17990])).
% 8.09/6.06 tff(17994,plain,
% 8.09/6.06 ((~((~v113(constB119)) | (~v126(constB119)))) | (~v113(constB119)) | (~v126(constB119))),
% 8.09/6.06 inference(tautology,[status(thm)],[])).
% 8.09/6.06 tff(17995,plain,
% 8.09/6.06 ((~((~v113(constB119)) | (~v126(constB119)))) | (~v113(constB119))),
% 8.09/6.06 inference(unit_resolution,[status(thm)],[17994, 17993])).
% 8.09/6.06 tff(17996,plain,
% 8.09/6.06 (~((~v113(constB119)) | (~v126(constB119)))),
% 8.09/6.06 inference(unit_resolution,[status(thm)],[17995, 17988])).
% 8.09/6.06 tff(17997,plain,
% 8.09/6.06 ((~(v112(constB119) <=> (~((~v113(constB119)) | (~v126(constB119)))))) | v112(constB119) | ((~v113(constB119)) | (~v126(constB119)))),
% 8.09/6.06 inference(tautology,[status(thm)],[])).
% 8.09/6.06 tff(17998,plain,
% 8.09/6.06 (v112(constB119)),
% 8.09/6.06 inference(unit_resolution,[status(thm)],[17997, 17996, 17958])).
% 8.09/6.06 tff(17999,plain,
% 8.09/6.06 ((v111(constB119) | v112(constB119)) | (~v112(constB119))),
% 8.09/6.06 inference(tautology,[status(thm)],[])).
% 8.09/6.06 tff(18000,plain,
% 8.09/6.06 (v111(constB119) | v112(constB119)),
% 8.09/6.06 inference(unit_resolution,[status(thm)],[17999, 17998])).
% 8.09/6.06 tff(18001,plain,
% 8.09/6.06 ((~(v108(constB119) <=> (v111(constB119) | v112(constB119)))) | v108(constB119) | (~(v111(constB119) | v112(constB119)))),
% 8.09/6.06 inference(tautology,[status(thm)],[])).
% 8.09/6.06 tff(18002,plain,
% 8.09/6.06 (v108(constB119)),
% 8.09/6.06 inference(unit_resolution,[status(thm)],[18001, 18000, 17956])).
% 8.09/6.06 tff(18003,plain,
% 8.09/6.06 ((~(v110(constB120) <=> v108(constB119))) | v110(constB120) | (~v108(constB119))),
% 8.09/6.06 inference(tautology,[status(thm)],[])).
% 8.09/6.06 tff(18004,plain,
% 8.09/6.06 (v110(constB120)),
% 8.09/6.06 inference(unit_resolution,[status(thm)],[18003, 18002, 17954])).
% 8.09/6.06 tff(18005,plain,
% 8.09/6.06 ((~((~v101(constB120)) | (~v110(constB120)))) | (~v101(constB120)) | (~v110(constB120))),
% 8.09/6.06 inference(tautology,[status(thm)],[])).
% 8.09/6.06 tff(18006,plain,
% 8.09/6.06 (~((~v101(constB120)) | (~v110(constB120)))),
% 8.09/6.06 inference(unit_resolution,[status(thm)],[18005, 18004, 17950])).
% 8.09/6.06 tff(18007,plain,
% 8.09/6.06 ((~(v100(constB120) <=> (~((~v101(constB120)) | (~v110(constB120)))))) | v100(constB120) | ((~v101(constB120)) | (~v110(constB120)))),
% 8.09/6.06 inference(tautology,[status(thm)],[])).
% 8.09/6.06 tff(18008,plain,
% 8.09/6.06 (v100(constB120)),
% 8.09/6.06 inference(unit_resolution,[status(thm)],[18007, 18006, 17922])).
% 8.09/6.06 tff(18009,plain,
% 8.09/6.06 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB120)) | (~(((~v90(constB120, bitIndex2)) <=> v129(constB120, bitIndex2)) | ((~v90(constB120, bitIndex1)) <=> v129(constB120, bitIndex1)) | ((~v90(constB120, bitIndex0)) <=> v129(constB120, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB120)) | (~(((~v90(constB120, bitIndex2)) <=> v129(constB120, bitIndex2)) | ((~v90(constB120, bitIndex1)) <=> v129(constB120, bitIndex1)) | ((~v90(constB120, bitIndex0)) <=> v129(constB120, bitIndex0)))))),
% 8.09/6.07 inference(rewrite,[status(thm)],[])).
% 8.09/6.07 tff(18010,plain,
% 8.09/6.07 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB120)) | (~(((~v90(constB120, bitIndex2)) <=> v129(constB120, bitIndex2)) | ((~v90(constB120, bitIndex1)) <=> v129(constB120, bitIndex1)) | ((~v90(constB120, bitIndex0)) <=> v129(constB120, bitIndex0)))))),
% 8.09/6.07 inference(quant_inst,[status(thm)],[])).
% 8.09/6.07 tff(18011,plain,
% 8.09/6.07 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB120)) | (~(((~v90(constB120, bitIndex2)) <=> v129(constB120, bitIndex2)) | ((~v90(constB120, bitIndex1)) <=> v129(constB120, bitIndex1)) | ((~v90(constB120, bitIndex0)) <=> v129(constB120, bitIndex0))))),
% 8.09/6.07 inference(modus_ponens,[status(thm)],[18010, 18009])).
% 8.09/6.07 tff(18012,plain,
% 8.09/6.07 ((~v100(constB120)) | (~(((~v90(constB120, bitIndex2)) <=> v129(constB120, bitIndex2)) | ((~v90(constB120, bitIndex1)) <=> v129(constB120, bitIndex1)) | ((~v90(constB120, bitIndex0)) <=> v129(constB120, bitIndex0))))),
% 8.09/6.07 inference(unit_resolution,[status(thm)],[18011, 3429])).
% 8.09/6.07 tff(18013,plain,
% 8.09/6.07 (~(((~v90(constB120, bitIndex2)) <=> v129(constB120, bitIndex2)) | ((~v90(constB120, bitIndex1)) <=> v129(constB120, bitIndex1)) | ((~v90(constB120, bitIndex0)) <=> v129(constB120, bitIndex0)))),
% 8.09/6.07 inference(unit_resolution,[status(thm)],[18012, 18008])).
% 8.09/6.07 tff(18014,plain,
% 8.09/6.07 ((((~v90(constB120, bitIndex2)) <=> v129(constB120, bitIndex2)) | ((~v90(constB120, bitIndex1)) <=> v129(constB120, bitIndex1)) | ((~v90(constB120, bitIndex0)) <=> v129(constB120, bitIndex0))) | (~((~v90(constB120, bitIndex2)) <=> v129(constB120, bitIndex2)))),
% 8.09/6.07 inference(tautology,[status(thm)],[])).
% 8.09/6.07 tff(18015,plain,
% 8.09/6.07 (~((~v90(constB120, bitIndex2)) <=> v129(constB120, bitIndex2))),
% 8.09/6.07 inference(unit_resolution,[status(thm)],[18014, 18013])).
% 8.09/6.07 tff(18016,plain,
% 8.09/6.07 (((~v90(constB120, bitIndex2)) <=> v129(constB120, bitIndex2)) | (~v90(constB120, bitIndex2)) | v129(constB120, bitIndex2)),
% 8.09/6.07 inference(tautology,[status(thm)],[])).
% 8.09/6.07 tff(18017,plain,
% 8.09/6.07 (~v90(constB120, bitIndex2)),
% 8.09/6.07 inference(unit_resolution,[status(thm)],[18016, 18015, 17918])).
% 8.09/6.07 tff(18018,plain,
% 8.09/6.07 (((~v90(constB121, bitIndex2)) <=> v90(constB120, bitIndex2)) | (~v90(constB121, bitIndex2)) | v90(constB120, bitIndex2)),
% 8.09/6.07 inference(tautology,[status(thm)],[])).
% 8.09/6.07 tff(18019,plain,
% 8.09/6.07 (~v90(constB121, bitIndex2)),
% 8.09/6.07 inference(unit_resolution,[status(thm)],[18018, 18017, 17406])).
% 8.09/6.07 tff(18020,plain,
% 8.09/6.07 ((((~v90(constB121, bitIndex1)) <=> v90(constB120, bitIndex1)) | ((~v90(constB121, bitIndex2)) <=> v90(constB120, bitIndex2)) | ((~v90(constB121, bitIndex0)) <=> v90(constB120, bitIndex0))) | (~((~v90(constB121, bitIndex0)) <=> v90(constB120, bitIndex0)))),
% 8.09/6.07 inference(tautology,[status(thm)],[])).
% 8.09/6.07 tff(18021,plain,
% 8.09/6.07 (~((~v90(constB121, bitIndex0)) <=> v90(constB120, bitIndex0))),
% 8.09/6.07 inference(unit_resolution,[status(thm)],[18020, 17404])).
% 8.09/6.07 tff(18022,plain,
% 8.09/6.07 ((((~v129(constB120, bitIndex2)) <=> v127(constB119, bitIndex2)) | ((~v129(constB120, bitIndex1)) <=> v127(constB119, bitIndex1)) | ((~v129(constB120, bitIndex0)) <=> v127(constB119, bitIndex0))) | (~((~v129(constB120, bitIndex0)) <=> v127(constB119, bitIndex0)))),
% 8.09/6.07 inference(tautology,[status(thm)],[])).
% 8.09/6.07 tff(18023,plain,
% 8.09/6.07 (~((~v129(constB120, bitIndex0)) <=> v127(constB119, bitIndex0))),
% 8.09/6.07 inference(unit_resolution,[status(thm)],[18022, 17413])).
% 8.09/6.07 tff(18024,plain,
% 8.09/6.07 ((((~v127(constB119, bitIndex2)) <=> v130(constB119, bitIndex2)) | ((~v127(constB119, bitIndex1)) <=> v130(constB119, bitIndex1)) | ((~v127(constB119, bitIndex0)) <=> v130(constB119, bitIndex0))) | (~((~v127(constB119, bitIndex0)) <=> v130(constB119, bitIndex0)))),
% 8.09/6.07 inference(tautology,[status(thm)],[])).
% 8.09/6.07 tff(18025,plain,
% 8.09/6.07 (~((~v127(constB119, bitIndex0)) <=> v130(constB119, bitIndex0))),
% 8.09/6.07 inference(unit_resolution,[status(thm)],[18024, 17427])).
% 8.09/6.07 tff(18026,plain,
% 8.09/6.07 ((v130(constB119, bitIndex2) | (~v130(constB119, bitIndex1)) | (~v130(constB119, bitIndex0))) | v130(constB119, bitIndex0)),
% 8.09/6.07 inference(tautology,[status(thm)],[])).
% 8.09/6.07 tff(18027,plain,
% 8.09/6.07 (v130(constB119, bitIndex0)),
% 8.09/6.07 inference(unit_resolution,[status(thm)],[18026, 17912])).
% 8.09/6.07 tff(18028,plain,
% 8.09/6.07 (((~v127(constB119, bitIndex0)) <=> v130(constB119, bitIndex0)) | v127(constB119, bitIndex0) | (~v130(constB119, bitIndex0))),
% 8.09/6.07 inference(tautology,[status(thm)],[])).
% 8.09/6.07 tff(18029,plain,
% 8.09/6.07 (v127(constB119, bitIndex0)),
% 8.09/6.07 inference(unit_resolution,[status(thm)],[18028, 18027, 18025])).
% 8.09/6.07 tff(18030,plain,
% 8.09/6.07 (((~v129(constB120, bitIndex0)) <=> v127(constB119, bitIndex0)) | v129(constB120, bitIndex0) | (~v127(constB119, bitIndex0))),
% 8.09/6.07 inference(tautology,[status(thm)],[])).
% 8.09/6.07 tff(18031,plain,
% 8.09/6.07 (v129(constB120, bitIndex0)),
% 8.09/6.07 inference(unit_resolution,[status(thm)],[18030, 18029, 18023])).
% 8.09/6.07 tff(18032,plain,
% 8.09/6.07 ((((~v90(constB120, bitIndex2)) <=> v129(constB120, bitIndex2)) | ((~v90(constB120, bitIndex1)) <=> v129(constB120, bitIndex1)) | ((~v90(constB120, bitIndex0)) <=> v129(constB120, bitIndex0))) | (~((~v90(constB120, bitIndex0)) <=> v129(constB120, bitIndex0)))),
% 8.09/6.07 inference(tautology,[status(thm)],[])).
% 8.09/6.07 tff(18033,plain,
% 8.09/6.07 (~((~v90(constB120, bitIndex0)) <=> v129(constB120, bitIndex0))),
% 8.09/6.07 inference(unit_resolution,[status(thm)],[18032, 18013])).
% 8.09/6.07 tff(18034,plain,
% 8.09/6.07 (((~v90(constB120, bitIndex0)) <=> v129(constB120, bitIndex0)) | v90(constB120, bitIndex0) | (~v129(constB120, bitIndex0))),
% 8.09/6.07 inference(tautology,[status(thm)],[])).
% 8.09/6.07 tff(18035,plain,
% 8.09/6.07 (v90(constB120, bitIndex0)),
% 8.09/6.07 inference(unit_resolution,[status(thm)],[18034, 18033, 18031])).
% 8.09/6.07 tff(18036,plain,
% 8.09/6.07 (((~v90(constB121, bitIndex0)) <=> v90(constB120, bitIndex0)) | v90(constB121, bitIndex0) | (~v90(constB120, bitIndex0))),
% 8.09/6.07 inference(tautology,[status(thm)],[])).
% 8.09/6.07 tff(18037,plain,
% 8.09/6.07 (v90(constB121, bitIndex0)),
% 8.09/6.07 inference(unit_resolution,[status(thm)],[18036, 18035, 18021])).
% 8.09/6.07 tff(18038,plain,
% 8.09/6.07 ((((~v90(constB121, bitIndex1)) <=> v90(constB120, bitIndex1)) | ((~v90(constB121, bitIndex2)) <=> v90(constB120, bitIndex2)) | ((~v90(constB121, bitIndex0)) <=> v90(constB120, bitIndex0))) | (~((~v90(constB121, bitIndex1)) <=> v90(constB120, bitIndex1)))),
% 8.09/6.07 inference(tautology,[status(thm)],[])).
% 8.09/6.07 tff(18039,plain,
% 8.09/6.07 (~((~v90(constB121, bitIndex1)) <=> v90(constB120, bitIndex1))),
% 8.09/6.07 inference(unit_resolution,[status(thm)],[18038, 17404])).
% 8.09/6.07 tff(18040,plain,
% 8.09/6.07 ((((~v129(constB120, bitIndex2)) <=> v127(constB119, bitIndex2)) | ((~v129(constB120, bitIndex1)) <=> v127(constB119, bitIndex1)) | ((~v129(constB120, bitIndex0)) <=> v127(constB119, bitIndex0))) | (~((~v129(constB120, bitIndex1)) <=> v127(constB119, bitIndex1)))),
% 8.09/6.07 inference(tautology,[status(thm)],[])).
% 8.09/6.07 tff(18041,plain,
% 8.09/6.07 (~((~v129(constB120, bitIndex1)) <=> v127(constB119, bitIndex1))),
% 8.09/6.07 inference(unit_resolution,[status(thm)],[18040, 17413])).
% 8.09/6.07 tff(18042,plain,
% 8.09/6.07 ((((~v127(constB119, bitIndex2)) <=> v130(constB119, bitIndex2)) | ((~v127(constB119, bitIndex1)) <=> v130(constB119, bitIndex1)) | ((~v127(constB119, bitIndex0)) <=> v130(constB119, bitIndex0))) | (~((~v127(constB119, bitIndex1)) <=> v130(constB119, bitIndex1)))),
% 8.09/6.07 inference(tautology,[status(thm)],[])).
% 8.09/6.07 tff(18043,plain,
% 8.09/6.07 (~((~v127(constB119, bitIndex1)) <=> v130(constB119, bitIndex1))),
% 8.09/6.07 inference(unit_resolution,[status(thm)],[18042, 17427])).
% 8.09/6.07 tff(18044,plain,
% 8.09/6.07 ((v130(constB119, bitIndex2) | (~v130(constB119, bitIndex1)) | (~v130(constB119, bitIndex0))) | v130(constB119, bitIndex1)),
% 8.09/6.07 inference(tautology,[status(thm)],[])).
% 8.09/6.07 tff(18045,plain,
% 8.09/6.07 (v130(constB119, bitIndex1)),
% 8.09/6.07 inference(unit_resolution,[status(thm)],[18044, 17912])).
% 8.09/6.07 tff(18046,plain,
% 8.09/6.07 (((~v127(constB119, bitIndex1)) <=> v130(constB119, bitIndex1)) | v127(constB119, bitIndex1) | (~v130(constB119, bitIndex1))),
% 8.09/6.07 inference(tautology,[status(thm)],[])).
% 8.09/6.07 tff(18047,plain,
% 8.09/6.07 (v127(constB119, bitIndex1)),
% 8.09/6.07 inference(unit_resolution,[status(thm)],[18046, 18045, 18043])).
% 8.09/6.07 tff(18048,plain,
% 8.09/6.07 (((~v129(constB120, bitIndex1)) <=> v127(constB119, bitIndex1)) | v129(constB120, bitIndex1) | (~v127(constB119, bitIndex1))),
% 8.09/6.07 inference(tautology,[status(thm)],[])).
% 8.09/6.07 tff(18049,plain,
% 8.09/6.07 (v129(constB120, bitIndex1)),
% 8.09/6.07 inference(unit_resolution,[status(thm)],[18048, 18047, 18041])).
% 8.09/6.07 tff(18050,plain,
% 8.09/6.07 ((((~v90(constB120, bitIndex2)) <=> v129(constB120, bitIndex2)) | ((~v90(constB120, bitIndex1)) <=> v129(constB120, bitIndex1)) | ((~v90(constB120, bitIndex0)) <=> v129(constB120, bitIndex0))) | (~((~v90(constB120, bitIndex1)) <=> v129(constB120, bitIndex1)))),
% 8.09/6.07 inference(tautology,[status(thm)],[])).
% 8.09/6.07 tff(18051,plain,
% 8.09/6.07 (~((~v90(constB120, bitIndex1)) <=> v129(constB120, bitIndex1))),
% 8.09/6.07 inference(unit_resolution,[status(thm)],[18050, 18013])).
% 8.09/6.07 tff(18052,plain,
% 8.09/6.07 (((~v90(constB120, bitIndex1)) <=> v129(constB120, bitIndex1)) | v90(constB120, bitIndex1) | (~v129(constB120, bitIndex1))),
% 8.09/6.07 inference(tautology,[status(thm)],[])).
% 8.09/6.07 tff(18053,plain,
% 8.09/6.07 (v90(constB120, bitIndex1)),
% 8.09/6.07 inference(unit_resolution,[status(thm)],[18052, 18051, 18049])).
% 8.09/6.07 tff(18054,plain,
% 8.09/6.07 (((~v90(constB121, bitIndex1)) <=> v90(constB120, bitIndex1)) | v90(constB121, bitIndex1) | (~v90(constB120, bitIndex1))),
% 8.09/6.07 inference(tautology,[status(thm)],[])).
% 8.09/6.07 tff(18055,plain,
% 8.09/6.07 (v90(constB121, bitIndex1)),
% 8.09/6.07 inference(unit_resolution,[status(thm)],[18054, 18053, 18039])).
% 8.09/6.07 tff(18056,plain,
% 8.09/6.07 ((~(v90(constB121, bitIndex2) | (~v90(constB121, bitIndex1)) | (~v90(constB121, bitIndex0)))) | v90(constB121, bitIndex2) | (~v90(constB121, bitIndex1)) | (~v90(constB121, bitIndex0))),
% 8.09/6.07 inference(tautology,[status(thm)],[])).
% 8.09/6.07 tff(18057,plain,
% 8.09/6.07 (~(v90(constB121, bitIndex2) | (~v90(constB121, bitIndex1)) | (~v90(constB121, bitIndex0)))),
% 8.09/6.07 inference(unit_resolution,[status(thm)],[18056, 18055, 18037, 18019])).
% 8.09/6.07 tff(18058,plain,
% 8.09/6.07 ((~(v122(constB121) <=> (~(v90(constB121, bitIndex2) | (~v90(constB121, bitIndex1)) | (~v90(constB121, bitIndex0)))))) | v122(constB121) | (v90(constB121, bitIndex2) | (~v90(constB121, bitIndex1)) | (~v90(constB121, bitIndex0)))),
% 8.09/6.07 inference(tautology,[status(thm)],[])).
% 8.09/6.07 tff(18059,plain,
% 8.09/6.07 (v122(constB121)),
% 8.09/6.07 inference(unit_resolution,[status(thm)],[18058, 18057, 17370])).
% 8.09/6.07 tff(18060,plain,
% 8.09/6.07 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB121)) | (~(v130(constB121, bitIndex1) | v130(constB121, bitIndex0) | (~v130(constB121, bitIndex2)))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | (~v122(constB121)) | (~(v130(constB121, bitIndex1) | v130(constB121, bitIndex0) | (~v130(constB121, bitIndex2)))))),
% 8.09/6.07 inference(rewrite,[status(thm)],[])).
% 8.09/6.07 tff(18061,plain,
% 8.09/6.07 (((~v122(constB121)) | (~(v130(constB121, bitIndex0) | v130(constB121, bitIndex1) | (~v130(constB121, bitIndex2))))) <=> ((~v122(constB121)) | (~(v130(constB121, bitIndex1) | v130(constB121, bitIndex0) | (~v130(constB121, bitIndex2)))))),
% 8.09/6.07 inference(rewrite,[status(thm)],[])).
% 8.09/6.07 tff(18062,plain,
% 8.09/6.07 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB121)) | (~(v130(constB121, bitIndex0) | v130(constB121, bitIndex1) | (~v130(constB121, bitIndex2)))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB121)) | (~(v130(constB121, bitIndex1) | v130(constB121, bitIndex0) | (~v130(constB121, bitIndex2))))))),
% 8.09/6.07 inference(monotonicity,[status(thm)],[18061])).
% 8.09/6.07 tff(18063,plain,
% 8.09/6.07 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB121)) | (~(v130(constB121, bitIndex0) | v130(constB121, bitIndex1) | (~v130(constB121, bitIndex2)))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | (~v122(constB121)) | (~(v130(constB121, bitIndex1) | v130(constB121, bitIndex0) | (~v130(constB121, bitIndex2)))))),
% 8.09/6.07 inference(transitivity,[status(thm)],[18062, 18060])).
% 8.09/6.07 tff(18064,plain,
% 8.09/6.07 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB121)) | (~(v130(constB121, bitIndex0) | v130(constB121, bitIndex1) | (~v130(constB121, bitIndex2)))))),
% 8.09/6.07 inference(quant_inst,[status(thm)],[])).
% 8.09/6.07 tff(18065,plain,
% 8.09/6.07 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | (~v122(constB121)) | (~(v130(constB121, bitIndex1) | v130(constB121, bitIndex0) | (~v130(constB121, bitIndex2))))),
% 8.09/6.07 inference(modus_ponens,[status(thm)],[18064, 18063])).
% 8.09/6.07 tff(18066,plain,
% 8.09/6.07 ((~v122(constB121)) | (~(v130(constB121, bitIndex1) | v130(constB121, bitIndex0) | (~v130(constB121, bitIndex2))))),
% 8.09/6.07 inference(unit_resolution,[status(thm)],[18065, 4223])).
% 8.09/6.07 tff(18067,plain,
% 8.09/6.07 (~(v130(constB121, bitIndex1) | v130(constB121, bitIndex0) | (~v130(constB121, bitIndex2)))),
% 8.09/6.07 inference(unit_resolution,[status(thm)],[18066, 18059])).
% 8.09/6.07 tff(18068,plain,
% 8.09/6.07 ((v130(constB121, bitIndex1) | v130(constB121, bitIndex0) | (~v130(constB121, bitIndex2))) | v130(constB121, bitIndex2)),
% 8.09/6.07 inference(tautology,[status(thm)],[])).
% 8.09/6.07 tff(18069,plain,
% 8.09/6.07 (v130(constB121, bitIndex2)),
% 8.09/6.07 inference(unit_resolution,[status(thm)],[18068, 18067])).
% 8.09/6.07 tff(18070,plain,
% 8.09/6.07 (((~v127(constB121, bitIndex2)) <=> v130(constB121, bitIndex2)) | v127(constB121, bitIndex2) | (~v130(constB121, bitIndex2))),
% 8.09/6.07 inference(tautology,[status(thm)],[])).
% 8.09/6.07 tff(18071,plain,
% 8.09/6.07 (v127(constB121, bitIndex2)),
% 8.09/6.07 inference(unit_resolution,[status(thm)],[18070, 18069, 17363])).
% 8.09/6.07 tff(18072,plain,
% 8.09/6.07 (((~v129(constB122, bitIndex2)) <=> v127(constB121, bitIndex2)) | v129(constB122, bitIndex2) | (~v127(constB121, bitIndex2))),
% 8.09/6.07 inference(tautology,[status(thm)],[])).
% 8.09/6.07 tff(18073,plain,
% 8.09/6.07 (v129(constB122, bitIndex2)),
% 8.09/6.07 inference(unit_resolution,[status(thm)],[18072, 18071, 17349])).
% 8.09/6.07 tff(18074,plain,
% 8.09/6.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB121, constB122)) | (v100(constB122) <=> (~((~v101(constB122)) | (~v110(constB122))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB121, constB122)) | (v100(constB122) <=> (~((~v101(constB122)) | (~v110(constB122))))))),
% 8.09/6.07 inference(rewrite,[status(thm)],[])).
% 8.09/6.07 tff(18075,plain,
% 8.09/6.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB121, constB122)) | (v100(constB122) <=> (~((~v101(constB122)) | (~v110(constB122))))))),
% 8.09/6.07 inference(quant_inst,[status(thm)],[])).
% 8.09/6.07 tff(18076,plain,
% 8.09/6.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB121, constB122)) | (v100(constB122) <=> (~((~v101(constB122)) | (~v110(constB122)))))),
% 8.09/6.07 inference(modus_ponens,[status(thm)],[18075, 18074])).
% 8.09/6.07 tff(18077,plain,
% 8.09/6.07 (v100(constB122) <=> (~((~v101(constB122)) | (~v110(constB122))))),
% 8.09/6.07 inference(unit_resolution,[status(thm)],[18076, 17343, 445])).
% 8.09/6.07 tff(18078,plain,
% 8.09/6.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB121, constB122)) | (v101(constB122) <=> (~((~v1(constB122)) | (~v102(constB122))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB121, constB122)) | (v101(constB122) <=> (~((~v1(constB122)) | (~v102(constB122))))))),
% 8.09/6.07 inference(rewrite,[status(thm)],[])).
% 8.09/6.07 tff(18079,plain,
% 8.09/6.07 (((~nextState(constB121, constB122)) | (v101(constB122) <=> (~((~v102(constB122)) | (~v1(constB122)))))) <=> ((~nextState(constB121, constB122)) | (v101(constB122) <=> (~((~v1(constB122)) | (~v102(constB122))))))),
% 8.09/6.07 inference(rewrite,[status(thm)],[])).
% 8.09/6.07 tff(18080,plain,
% 8.09/6.07 (((~![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) <=> (~((~v1(constB122)) | (~v102(constB122)))))))),
% 8.09/6.07 inference(monotonicity,[status(thm)],[18079])).
% 8.09/6.07 tff(18081,plain,
% 8.09/6.07 (((~![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) <=> (~((~v1(constB122)) | (~v102(constB122))))))),
% 8.09/6.07 inference(transitivity,[status(thm)],[18080, 18078])).
% 8.09/6.07 tff(18082,plain,
% 8.09/6.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB121, constB122)) | (v101(constB122) <=> (~((~v102(constB122)) | (~v1(constB122))))))),
% 8.09/6.07 inference(quant_inst,[status(thm)],[])).
% 8.09/6.07 tff(18083,plain,
% 8.09/6.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB121, constB122)) | (v101(constB122) <=> (~((~v1(constB122)) | (~v102(constB122)))))),
% 8.09/6.07 inference(modus_ponens,[status(thm)],[18082, 18081])).
% 8.09/6.07 tff(18084,plain,
% 8.09/6.07 (v101(constB122) <=> (~((~v1(constB122)) | (~v102(constB122))))),
% 8.09/6.07 inference(unit_resolution,[status(thm)],[18083, 17343, 465])).
% 8.09/6.07 tff(18085,plain,
% 8.09/6.07 (((~![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)))),
% 8.09/6.07 inference(rewrite,[status(thm)],[])).
% 8.09/6.07 tff(18086,plain,
% 8.09/6.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB121, constB122)) | ((~v102(constB122)) <=> v104(constB122)))),
% 8.09/6.07 inference(quant_inst,[status(thm)],[])).
% 8.09/6.07 tff(18087,plain,
% 8.09/6.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB121, constB122)) | ((~v102(constB122)) <=> v104(constB122))),
% 8.09/6.07 inference(modus_ponens,[status(thm)],[18086, 18085])).
% 8.09/6.07 tff(18088,plain,
% 8.09/6.07 ((~v102(constB122)) <=> v104(constB122)),
% 8.09/6.07 inference(unit_resolution,[status(thm)],[18087, 17343, 3244])).
% 8.09/6.07 tff(18089,plain,
% 8.09/6.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB121, constB122)) | (v104(constB122) <=> v1(constB121)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB121, constB122)) | (v104(constB122) <=> v1(constB121)))),
% 8.09/6.07 inference(rewrite,[status(thm)],[])).
% 8.09/6.07 tff(18090,plain,
% 8.09/6.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB121, constB122)) | (v104(constB122) <=> v1(constB121)))),
% 8.09/6.07 inference(quant_inst,[status(thm)],[])).
% 8.09/6.07 tff(18091,plain,
% 8.09/6.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB121, constB122)) | (v104(constB122) <=> v1(constB121))),
% 8.09/6.07 inference(modus_ponens,[status(thm)],[18090, 18089])).
% 8.09/6.07 tff(18092,plain,
% 8.09/6.07 (v104(constB122) <=> v1(constB121)),
% 8.09/6.07 inference(unit_resolution,[status(thm)],[18091, 17343, 3258])).
% 8.09/6.07 tff(18093,plain,
% 8.09/6.07 ((~(v104(constB122) <=> v1(constB121))) | (~v104(constB122)) | v1(constB121)),
% 8.09/6.07 inference(tautology,[status(thm)],[])).
% 8.09/6.07 tff(18094,plain,
% 8.09/6.07 ((~(v104(constB122) <=> v1(constB121))) | (~v104(constB122))),
% 8.09/6.07 inference(unit_resolution,[status(thm)],[18093, 17387])).
% 8.09/6.07 tff(18095,plain,
% 8.09/6.07 (~v104(constB122)),
% 8.09/6.07 inference(unit_resolution,[status(thm)],[18094, 18092])).
% 8.09/6.07 tff(18096,plain,
% 8.09/6.07 ((~((~v102(constB122)) <=> v104(constB122))) | v102(constB122) | v104(constB122)),
% 8.09/6.07 inference(tautology,[status(thm)],[])).
% 8.09/6.07 tff(18097,plain,
% 8.09/6.07 (v102(constB122)),
% 8.09/6.07 inference(unit_resolution,[status(thm)],[18096, 18095, 18088])).
% 8.09/6.07 tff(18098,plain,
% 8.09/6.07 (v1(constB122) <=> v1(constB122)),
% 8.09/6.07 inference(rewrite,[status(thm)],[])).
% 8.09/6.07 tff(18099,axiom,(v1(constB122)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_122')).
% 8.09/6.07 tff(18100,plain,
% 8.09/6.07 (v1(constB122)),
% 8.09/6.07 inference(modus_ponens,[status(thm)],[18099, 18098])).
% 8.09/6.07 tff(18101,plain,
% 8.09/6.07 ((~((~v1(constB122)) | (~v102(constB122)))) | (~v1(constB122)) | (~v102(constB122))),
% 8.09/6.07 inference(tautology,[status(thm)],[])).
% 8.09/6.07 tff(18102,plain,
% 8.09/6.07 ((~((~v1(constB122)) | (~v102(constB122)))) | (~v102(constB122))),
% 8.09/6.07 inference(unit_resolution,[status(thm)],[18101, 18100])).
% 8.09/6.07 tff(18103,plain,
% 8.09/6.07 (~((~v1(constB122)) | (~v102(constB122)))),
% 8.09/6.07 inference(unit_resolution,[status(thm)],[18102, 18097])).
% 8.09/6.07 tff(18104,plain,
% 8.09/6.07 ((~(v101(constB122) <=> (~((~v1(constB122)) | (~v102(constB122)))))) | v101(constB122) | ((~v1(constB122)) | (~v102(constB122)))),
% 8.09/6.07 inference(tautology,[status(thm)],[])).
% 8.09/6.07 tff(18105,plain,
% 8.09/6.07 (v101(constB122)),
% 8.09/6.07 inference(unit_resolution,[status(thm)],[18104, 18103, 18084])).
% 8.09/6.07 tff(18106,plain,
% 8.09/6.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB121, constB122)) | (v110(constB122) <=> v108(constB121)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB121, constB122)) | (v110(constB122) <=> v108(constB121)))),
% 8.09/6.07 inference(rewrite,[status(thm)],[])).
% 8.09/6.07 tff(18107,plain,
% 8.09/6.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB121, constB122)) | (v110(constB122) <=> v108(constB121)))),
% 8.09/6.07 inference(quant_inst,[status(thm)],[])).
% 8.09/6.07 tff(18108,plain,
% 8.09/6.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB121, constB122)) | (v110(constB122) <=> v108(constB121))),
% 8.09/6.07 inference(modus_ponens,[status(thm)],[18107, 18106])).
% 8.09/6.07 tff(18109,plain,
% 8.09/6.07 (v110(constB122) <=> v108(constB121)),
% 8.09/6.07 inference(unit_resolution,[status(thm)],[18108, 17343, 3285])).
% 8.09/6.07 tff(18110,plain,
% 8.09/6.07 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB121) <=> (v111(constB121) | v112(constB121)))),
% 8.09/6.07 inference(quant_inst,[status(thm)],[])).
% 8.09/6.07 tff(18111,plain,
% 8.09/6.07 (v108(constB121) <=> (v111(constB121) | v112(constB121))),
% 8.09/6.07 inference(unit_resolution,[status(thm)],[18110, 3296])).
% 8.09/6.07 tff(18112,plain,
% 8.09/6.07 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB121) <=> (~((~v113(constB121)) | (~v126(constB121)))))),
% 8.09/6.07 inference(quant_inst,[status(thm)],[])).
% 8.09/6.07 tff(18113,plain,
% 8.09/6.07 (v112(constB121) <=> (~((~v113(constB121)) | (~v126(constB121))))),
% 8.09/6.07 inference(unit_resolution,[status(thm)],[18112, 3308])).
% 8.09/6.07 tff(18114,plain,
% 8.09/6.07 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB121) <=> (v114(constB121) | v125(constB121)))),
% 8.09/6.07 inference(quant_inst,[status(thm)],[])).
% 8.09/6.07 tff(18115,plain,
% 8.09/6.07 (v113(constB121) <=> (v114(constB121) | v125(constB121))),
% 8.09/6.07 inference(unit_resolution,[status(thm)],[18114, 3317])).
% 8.09/6.07 tff(18116,plain,
% 8.09/6.07 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB121) <=> (v115(constB121) | v124(constB121)))),
% 8.09/6.07 inference(quant_inst,[status(thm)],[])).
% 8.09/6.07 tff(18117,plain,
% 8.09/6.07 (v114(constB121) <=> (v115(constB121) | v124(constB121))),
% 8.09/6.07 inference(unit_resolution,[status(thm)],[18116, 3326])).
% 8.09/6.07 tff(18118,plain,
% 8.09/6.07 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB121) <=> (v116(constB121) | v123(constB121)))),
% 8.09/6.07 inference(quant_inst,[status(thm)],[])).
% 8.09/6.07 tff(18119,plain,
% 8.09/6.07 (v115(constB121) <=> (v116(constB121) | v123(constB121))),
% 8.09/6.07 inference(unit_resolution,[status(thm)],[18118, 3335])).
% 8.09/6.07 tff(18120,plain,
% 8.09/6.07 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB121) <=> (v117(constB121) | v122(constB121)))),
% 8.09/6.07 inference(quant_inst,[status(thm)],[])).
% 8.09/6.07 tff(18121,plain,
% 8.09/6.07 (v116(constB121) <=> (v117(constB121) | v122(constB121))),
% 8.09/6.07 inference(unit_resolution,[status(thm)],[18120, 3344])).
% 8.09/6.07 tff(18122,plain,
% 8.09/6.07 ((v117(constB121) | v122(constB121)) | (~v122(constB121))),
% 8.09/6.07 inference(tautology,[status(thm)],[])).
% 8.09/6.07 tff(18123,plain,
% 8.09/6.07 (v117(constB121) | v122(constB121)),
% 8.09/6.07 inference(unit_resolution,[status(thm)],[18122, 18059])).
% 8.09/6.07 tff(18124,plain,
% 8.09/6.07 ((~(v116(constB121) <=> (v117(constB121) | v122(constB121)))) | v116(constB121) | (~(v117(constB121) | v122(constB121)))),
% 8.09/6.07 inference(tautology,[status(thm)],[])).
% 8.09/6.07 tff(18125,plain,
% 8.09/6.07 (v116(constB121)),
% 8.09/6.07 inference(unit_resolution,[status(thm)],[18124, 18123, 18121])).
% 8.09/6.07 tff(18126,plain,
% 8.09/6.07 ((v116(constB121) | v123(constB121)) | (~v116(constB121))),
% 8.09/6.07 inference(tautology,[status(thm)],[])).
% 8.09/6.07 tff(18127,plain,
% 8.09/6.07 (v116(constB121) | v123(constB121)),
% 8.09/6.07 inference(unit_resolution,[status(thm)],[18126, 18125])).
% 8.09/6.07 tff(18128,plain,
% 8.09/6.07 ((~(v115(constB121) <=> (v116(constB121) | v123(constB121)))) | v115(constB121) | (~(v116(constB121) | v123(constB121)))),
% 8.09/6.07 inference(tautology,[status(thm)],[])).
% 8.09/6.07 tff(18129,plain,
% 8.09/6.07 (v115(constB121)),
% 8.09/6.07 inference(unit_resolution,[status(thm)],[18128, 18127, 18119])).
% 8.09/6.07 tff(18130,plain,
% 8.09/6.07 ((v115(constB121) | v124(constB121)) | (~v115(constB121))),
% 8.09/6.07 inference(tautology,[status(thm)],[])).
% 8.09/6.07 tff(18131,plain,
% 8.09/6.07 (v115(constB121) | v124(constB121)),
% 8.09/6.07 inference(unit_resolution,[status(thm)],[18130, 18129])).
% 8.09/6.07 tff(18132,plain,
% 8.09/6.07 ((~(v114(constB121) <=> (v115(constB121) | v124(constB121)))) | v114(constB121) | (~(v115(constB121) | v124(constB121)))),
% 8.09/6.07 inference(tautology,[status(thm)],[])).
% 8.09/6.07 tff(18133,plain,
% 8.09/6.07 (v114(constB121)),
% 8.09/6.07 inference(unit_resolution,[status(thm)],[18132, 18131, 18117])).
% 8.09/6.07 tff(18134,plain,
% 8.09/6.07 ((v114(constB121) | v125(constB121)) | (~v114(constB121))),
% 8.09/6.07 inference(tautology,[status(thm)],[])).
% 8.09/6.07 tff(18135,plain,
% 8.09/6.07 (v114(constB121) | v125(constB121)),
% 8.09/6.07 inference(unit_resolution,[status(thm)],[18134, 18133])).
% 8.09/6.07 tff(18136,plain,
% 8.09/6.07 ((~(v113(constB121) <=> (v114(constB121) | v125(constB121)))) | v113(constB121) | (~(v114(constB121) | v125(constB121)))),
% 8.09/6.07 inference(tautology,[status(thm)],[])).
% 8.09/6.07 tff(18137,plain,
% 8.09/6.07 (v113(constB121)),
% 8.09/6.07 inference(unit_resolution,[status(thm)],[18136, 18135, 18115])).
% 8.09/6.07 tff(18138,plain,
% 8.09/6.07 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB121)) <=> v111(constB121))),
% 8.09/6.07 inference(quant_inst,[status(thm)],[])).
% 8.09/6.07 tff(18139,plain,
% 8.09/6.07 ((~v126(constB121)) <=> v111(constB121)),
% 8.09/6.07 inference(unit_resolution,[status(thm)],[18138, 3396])).
% 8.09/6.07 tff(18140,plain,
% 8.09/6.07 ((~((~v126(constB121)) <=> v111(constB121))) | v126(constB121) | v111(constB121)),
% 8.09/6.07 inference(tautology,[status(thm)],[])).
% 8.09/6.07 tff(18141,plain,
% 8.09/6.07 ((~((~v126(constB121)) <=> v111(constB121))) | v126(constB121)),
% 8.09/6.07 inference(unit_resolution,[status(thm)],[18140, 17356])).
% 8.09/6.07 tff(18142,plain,
% 8.09/6.07 (v126(constB121)),
% 8.09/6.07 inference(unit_resolution,[status(thm)],[18141, 18139])).
% 8.09/6.07 tff(18143,plain,
% 8.09/6.07 ((~((~v113(constB121)) | (~v126(constB121)))) | (~v113(constB121)) | (~v126(constB121))),
% 8.09/6.07 inference(tautology,[status(thm)],[])).
% 8.09/6.07 tff(18144,plain,
% 8.09/6.07 ((~((~v113(constB121)) | (~v126(constB121)))) | (~v113(constB121))),
% 8.09/6.07 inference(unit_resolution,[status(thm)],[18143, 18142])).
% 8.09/6.07 tff(18145,plain,
% 8.09/6.07 (~((~v113(constB121)) | (~v126(constB121)))),
% 8.09/6.07 inference(unit_resolution,[status(thm)],[18144, 18137])).
% 8.09/6.07 tff(18146,plain,
% 8.09/6.07 ((~(v112(constB121) <=> (~((~v113(constB121)) | (~v126(constB121)))))) | v112(constB121) | ((~v113(constB121)) | (~v126(constB121)))),
% 8.09/6.07 inference(tautology,[status(thm)],[])).
% 8.09/6.07 tff(18147,plain,
% 8.09/6.07 (v112(constB121)),
% 8.09/6.07 inference(unit_resolution,[status(thm)],[18146, 18145, 18113])).
% 8.09/6.07 tff(18148,plain,
% 8.09/6.07 ((v111(constB121) | v112(constB121)) | (~v112(constB121))),
% 8.09/6.07 inference(tautology,[status(thm)],[])).
% 8.09/6.07 tff(18149,plain,
% 8.09/6.07 (v111(constB121) | v112(constB121)),
% 8.09/6.07 inference(unit_resolution,[status(thm)],[18148, 18147])).
% 8.09/6.07 tff(18150,plain,
% 8.09/6.07 ((~(v108(constB121) <=> (v111(constB121) | v112(constB121)))) | v108(constB121) | (~(v111(constB121) | v112(constB121)))),
% 8.09/6.07 inference(tautology,[status(thm)],[])).
% 8.09/6.07 tff(18151,plain,
% 8.09/6.07 (v108(constB121)),
% 8.09/6.07 inference(unit_resolution,[status(thm)],[18150, 18149, 18111])).
% 8.09/6.07 tff(18152,plain,
% 8.09/6.07 ((~(v110(constB122) <=> v108(constB121))) | v110(constB122) | (~v108(constB121))),
% 8.09/6.07 inference(tautology,[status(thm)],[])).
% 8.09/6.07 tff(18153,plain,
% 8.09/6.07 (v110(constB122)),
% 8.09/6.07 inference(unit_resolution,[status(thm)],[18152, 18151, 18109])).
% 8.09/6.07 tff(18154,plain,
% 8.09/6.07 ((~((~v101(constB122)) | (~v110(constB122)))) | (~v101(constB122)) | (~v110(constB122))),
% 8.09/6.07 inference(tautology,[status(thm)],[])).
% 8.09/6.07 tff(18155,plain,
% 8.09/6.07 (~((~v101(constB122)) | (~v110(constB122)))),
% 8.09/6.07 inference(unit_resolution,[status(thm)],[18154, 18153, 18105])).
% 8.09/6.07 tff(18156,plain,
% 8.09/6.07 ((~(v100(constB122) <=> (~((~v101(constB122)) | (~v110(constB122)))))) | v100(constB122) | ((~v101(constB122)) | (~v110(constB122)))),
% 8.09/6.07 inference(tautology,[status(thm)],[])).
% 8.09/6.07 tff(18157,plain,
% 8.09/6.07 (v100(constB122)),
% 8.09/6.07 inference(unit_resolution,[status(thm)],[18156, 18155, 18077])).
% 8.09/6.07 tff(18158,plain,
% 8.09/6.07 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB122)) | (~(((~v90(constB122, bitIndex0)) <=> v129(constB122, bitIndex0)) | ((~v90(constB122, bitIndex2)) <=> v129(constB122, bitIndex2)) | ((~v90(constB122, bitIndex1)) <=> v129(constB122, bitIndex1)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB122)) | (~(((~v90(constB122, bitIndex0)) <=> v129(constB122, bitIndex0)) | ((~v90(constB122, bitIndex2)) <=> v129(constB122, bitIndex2)) | ((~v90(constB122, bitIndex1)) <=> v129(constB122, bitIndex1)))))),
% 8.09/6.07 inference(rewrite,[status(thm)],[])).
% 8.09/6.07 tff(18159,plain,
% 8.09/6.07 (((~v100(constB122)) | (~(((~v90(constB122, bitIndex2)) <=> v129(constB122, bitIndex2)) | ((~v90(constB122, bitIndex1)) <=> v129(constB122, bitIndex1)) | ((~v90(constB122, bitIndex0)) <=> v129(constB122, bitIndex0))))) <=> ((~v100(constB122)) | (~(((~v90(constB122, bitIndex0)) <=> v129(constB122, bitIndex0)) | ((~v90(constB122, bitIndex2)) <=> v129(constB122, bitIndex2)) | ((~v90(constB122, bitIndex1)) <=> v129(constB122, bitIndex1)))))),
% 8.09/6.07 inference(rewrite,[status(thm)],[])).
% 8.09/6.07 tff(18160,plain,
% 8.09/6.07 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB122)) | (~(((~v90(constB122, bitIndex2)) <=> v129(constB122, bitIndex2)) | ((~v90(constB122, bitIndex1)) <=> v129(constB122, bitIndex1)) | ((~v90(constB122, bitIndex0)) <=> v129(constB122, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB122)) | (~(((~v90(constB122, bitIndex0)) <=> v129(constB122, bitIndex0)) | ((~v90(constB122, bitIndex2)) <=> v129(constB122, bitIndex2)) | ((~v90(constB122, bitIndex1)) <=> v129(constB122, bitIndex1))))))),
% 8.09/6.08 inference(monotonicity,[status(thm)],[18159])).
% 8.09/6.08 tff(18161,plain,
% 8.09/6.08 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB122)) | (~(((~v90(constB122, bitIndex2)) <=> v129(constB122, bitIndex2)) | ((~v90(constB122, bitIndex1)) <=> v129(constB122, bitIndex1)) | ((~v90(constB122, bitIndex0)) <=> v129(constB122, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB122)) | (~(((~v90(constB122, bitIndex0)) <=> v129(constB122, bitIndex0)) | ((~v90(constB122, bitIndex2)) <=> v129(constB122, bitIndex2)) | ((~v90(constB122, bitIndex1)) <=> v129(constB122, bitIndex1)))))),
% 8.09/6.08 inference(transitivity,[status(thm)],[18160, 18158])).
% 8.09/6.08 tff(18162,plain,
% 8.09/6.08 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB122)) | (~(((~v90(constB122, bitIndex2)) <=> v129(constB122, bitIndex2)) | ((~v90(constB122, bitIndex1)) <=> v129(constB122, bitIndex1)) | ((~v90(constB122, bitIndex0)) <=> v129(constB122, bitIndex0)))))),
% 8.09/6.08 inference(quant_inst,[status(thm)],[])).
% 8.09/6.08 tff(18163,plain,
% 8.09/6.08 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB122)) | (~(((~v90(constB122, bitIndex0)) <=> v129(constB122, bitIndex0)) | ((~v90(constB122, bitIndex2)) <=> v129(constB122, bitIndex2)) | ((~v90(constB122, bitIndex1)) <=> v129(constB122, bitIndex1))))),
% 8.09/6.08 inference(modus_ponens,[status(thm)],[18162, 18161])).
% 8.09/6.08 tff(18164,plain,
% 8.09/6.08 ((~v100(constB122)) | (~(((~v90(constB122, bitIndex0)) <=> v129(constB122, bitIndex0)) | ((~v90(constB122, bitIndex2)) <=> v129(constB122, bitIndex2)) | ((~v90(constB122, bitIndex1)) <=> v129(constB122, bitIndex1))))),
% 8.09/6.08 inference(unit_resolution,[status(thm)],[18163, 3429])).
% 8.09/6.08 tff(18165,plain,
% 8.09/6.08 (~(((~v90(constB122, bitIndex0)) <=> v129(constB122, bitIndex0)) | ((~v90(constB122, bitIndex2)) <=> v129(constB122, bitIndex2)) | ((~v90(constB122, bitIndex1)) <=> v129(constB122, bitIndex1)))),
% 8.09/6.08 inference(unit_resolution,[status(thm)],[18164, 18157])).
% 8.09/6.08 tff(18166,plain,
% 8.09/6.08 ((((~v90(constB122, bitIndex0)) <=> v129(constB122, bitIndex0)) | ((~v90(constB122, bitIndex2)) <=> v129(constB122, bitIndex2)) | ((~v90(constB122, bitIndex1)) <=> v129(constB122, bitIndex1))) | (~((~v90(constB122, bitIndex2)) <=> v129(constB122, bitIndex2)))),
% 8.09/6.08 inference(tautology,[status(thm)],[])).
% 8.09/6.08 tff(18167,plain,
% 8.09/6.08 (~((~v90(constB122, bitIndex2)) <=> v129(constB122, bitIndex2))),
% 8.09/6.08 inference(unit_resolution,[status(thm)],[18166, 18165])).
% 8.09/6.08 tff(18168,plain,
% 8.09/6.08 (((~v90(constB122, bitIndex2)) <=> v129(constB122, bitIndex2)) | v90(constB122, bitIndex2) | (~v129(constB122, bitIndex2))),
% 8.09/6.08 inference(tautology,[status(thm)],[])).
% 8.09/6.08 tff(18169,plain,
% 8.09/6.08 (v90(constB122, bitIndex2)),
% 8.09/6.08 inference(unit_resolution,[status(thm)],[18168, 18167, 18073])).
% 8.09/6.08 tff(18170,plain,
% 8.09/6.08 (((~v90(constB123, bitIndex2)) <=> v90(constB122, bitIndex2)) | v90(constB123, bitIndex2) | (~v90(constB122, bitIndex2))),
% 8.09/6.08 inference(tautology,[status(thm)],[])).
% 8.09/6.08 tff(18171,plain,
% 8.09/6.08 (v90(constB123, bitIndex2)),
% 8.09/6.08 inference(unit_resolution,[status(thm)],[18170, 18169, 17340])).
% 8.09/6.08 tff(18172,plain,
% 8.09/6.08 ((((~v90(constB123, bitIndex1)) <=> v90(constB122, bitIndex1)) | ((~v90(constB123, bitIndex2)) <=> v90(constB122, bitIndex2)) | ((~v90(constB123, bitIndex0)) <=> v90(constB122, bitIndex0))) | (~((~v90(constB123, bitIndex0)) <=> v90(constB122, bitIndex0)))),
% 8.09/6.08 inference(tautology,[status(thm)],[])).
% 8.09/6.08 tff(18173,plain,
% 8.09/6.08 (~((~v90(constB123, bitIndex0)) <=> v90(constB122, bitIndex0))),
% 8.09/6.08 inference(unit_resolution,[status(thm)],[18172, 17338])).
% 8.09/6.08 tff(18174,plain,
% 8.09/6.08 ((((~v129(constB122, bitIndex2)) <=> v127(constB121, bitIndex2)) | ((~v129(constB122, bitIndex1)) <=> v127(constB121, bitIndex1)) | ((~v129(constB122, bitIndex0)) <=> v127(constB121, bitIndex0))) | (~((~v129(constB122, bitIndex0)) <=> v127(constB121, bitIndex0)))),
% 8.09/6.08 inference(tautology,[status(thm)],[])).
% 8.09/6.08 tff(18175,plain,
% 8.09/6.08 (~((~v129(constB122, bitIndex0)) <=> v127(constB121, bitIndex0))),
% 8.09/6.08 inference(unit_resolution,[status(thm)],[18174, 17347])).
% 8.09/6.08 tff(18176,plain,
% 8.09/6.08 ((((~v127(constB121, bitIndex2)) <=> v130(constB121, bitIndex2)) | ((~v127(constB121, bitIndex1)) <=> v130(constB121, bitIndex1)) | ((~v127(constB121, bitIndex0)) <=> v130(constB121, bitIndex0))) | (~((~v127(constB121, bitIndex0)) <=> v130(constB121, bitIndex0)))),
% 8.09/6.08 inference(tautology,[status(thm)],[])).
% 8.09/6.08 tff(18177,plain,
% 8.09/6.08 (~((~v127(constB121, bitIndex0)) <=> v130(constB121, bitIndex0))),
% 8.09/6.08 inference(unit_resolution,[status(thm)],[18176, 17361])).
% 8.09/6.08 tff(18178,plain,
% 8.09/6.08 ((v130(constB121, bitIndex1) | v130(constB121, bitIndex0) | (~v130(constB121, bitIndex2))) | (~v130(constB121, bitIndex0))),
% 8.09/6.08 inference(tautology,[status(thm)],[])).
% 8.09/6.08 tff(18179,plain,
% 8.09/6.08 (~v130(constB121, bitIndex0)),
% 8.09/6.08 inference(unit_resolution,[status(thm)],[18178, 18067])).
% 8.09/6.08 tff(18180,plain,
% 8.09/6.08 (((~v127(constB121, bitIndex0)) <=> v130(constB121, bitIndex0)) | (~v127(constB121, bitIndex0)) | v130(constB121, bitIndex0)),
% 8.09/6.08 inference(tautology,[status(thm)],[])).
% 8.09/6.08 tff(18181,plain,
% 8.09/6.08 (~v127(constB121, bitIndex0)),
% 8.09/6.08 inference(unit_resolution,[status(thm)],[18180, 18179, 18177])).
% 8.09/6.08 tff(18182,plain,
% 8.09/6.08 (((~v129(constB122, bitIndex0)) <=> v127(constB121, bitIndex0)) | (~v129(constB122, bitIndex0)) | v127(constB121, bitIndex0)),
% 8.09/6.08 inference(tautology,[status(thm)],[])).
% 8.09/6.08 tff(18183,plain,
% 8.09/6.08 (~v129(constB122, bitIndex0)),
% 8.09/6.08 inference(unit_resolution,[status(thm)],[18182, 18181, 18175])).
% 8.09/6.08 tff(18184,plain,
% 8.09/6.08 ((((~v90(constB122, bitIndex0)) <=> v129(constB122, bitIndex0)) | ((~v90(constB122, bitIndex2)) <=> v129(constB122, bitIndex2)) | ((~v90(constB122, bitIndex1)) <=> v129(constB122, bitIndex1))) | (~((~v90(constB122, bitIndex0)) <=> v129(constB122, bitIndex0)))),
% 8.09/6.08 inference(tautology,[status(thm)],[])).
% 8.09/6.08 tff(18185,plain,
% 8.09/6.08 (~((~v90(constB122, bitIndex0)) <=> v129(constB122, bitIndex0))),
% 8.09/6.08 inference(unit_resolution,[status(thm)],[18184, 18165])).
% 8.09/6.08 tff(18186,plain,
% 8.09/6.08 (((~v90(constB122, bitIndex0)) <=> v129(constB122, bitIndex0)) | (~v90(constB122, bitIndex0)) | v129(constB122, bitIndex0)),
% 8.09/6.08 inference(tautology,[status(thm)],[])).
% 8.09/6.08 tff(18187,plain,
% 8.09/6.08 (~v90(constB122, bitIndex0)),
% 8.09/6.08 inference(unit_resolution,[status(thm)],[18186, 18185, 18183])).
% 8.09/6.08 tff(18188,plain,
% 8.09/6.08 (((~v90(constB123, bitIndex0)) <=> v90(constB122, bitIndex0)) | (~v90(constB123, bitIndex0)) | v90(constB122, bitIndex0)),
% 8.09/6.08 inference(tautology,[status(thm)],[])).
% 8.09/6.08 tff(18189,plain,
% 8.09/6.08 (~v90(constB123, bitIndex0)),
% 8.09/6.08 inference(unit_resolution,[status(thm)],[18188, 18187, 18173])).
% 8.09/6.08 tff(18190,plain,
% 8.09/6.08 ((((~v90(constB123, bitIndex1)) <=> v90(constB122, bitIndex1)) | ((~v90(constB123, bitIndex2)) <=> v90(constB122, bitIndex2)) | ((~v90(constB123, bitIndex0)) <=> v90(constB122, bitIndex0))) | (~((~v90(constB123, bitIndex1)) <=> v90(constB122, bitIndex1)))),
% 8.09/6.08 inference(tautology,[status(thm)],[])).
% 8.09/6.08 tff(18191,plain,
% 8.09/6.08 (~((~v90(constB123, bitIndex1)) <=> v90(constB122, bitIndex1))),
% 8.09/6.08 inference(unit_resolution,[status(thm)],[18190, 17338])).
% 8.09/6.08 tff(18192,plain,
% 8.09/6.08 ((((~v129(constB122, bitIndex2)) <=> v127(constB121, bitIndex2)) | ((~v129(constB122, bitIndex1)) <=> v127(constB121, bitIndex1)) | ((~v129(constB122, bitIndex0)) <=> v127(constB121, bitIndex0))) | (~((~v129(constB122, bitIndex1)) <=> v127(constB121, bitIndex1)))),
% 8.09/6.08 inference(tautology,[status(thm)],[])).
% 8.09/6.08 tff(18193,plain,
% 8.09/6.08 (~((~v129(constB122, bitIndex1)) <=> v127(constB121, bitIndex1))),
% 8.09/6.08 inference(unit_resolution,[status(thm)],[18192, 17347])).
% 8.09/6.08 tff(18194,plain,
% 8.09/6.08 ((((~v127(constB121, bitIndex2)) <=> v130(constB121, bitIndex2)) | ((~v127(constB121, bitIndex1)) <=> v130(constB121, bitIndex1)) | ((~v127(constB121, bitIndex0)) <=> v130(constB121, bitIndex0))) | (~((~v127(constB121, bitIndex1)) <=> v130(constB121, bitIndex1)))),
% 8.09/6.08 inference(tautology,[status(thm)],[])).
% 8.09/6.08 tff(18195,plain,
% 8.09/6.08 (~((~v127(constB121, bitIndex1)) <=> v130(constB121, bitIndex1))),
% 8.09/6.08 inference(unit_resolution,[status(thm)],[18194, 17361])).
% 8.09/6.08 tff(18196,plain,
% 8.09/6.08 ((v130(constB121, bitIndex1) | v130(constB121, bitIndex0) | (~v130(constB121, bitIndex2))) | (~v130(constB121, bitIndex1))),
% 8.09/6.08 inference(tautology,[status(thm)],[])).
% 8.09/6.08 tff(18197,plain,
% 8.09/6.08 (~v130(constB121, bitIndex1)),
% 8.09/6.08 inference(unit_resolution,[status(thm)],[18196, 18067])).
% 8.09/6.08 tff(18198,plain,
% 8.09/6.08 (((~v127(constB121, bitIndex1)) <=> v130(constB121, bitIndex1)) | (~v127(constB121, bitIndex1)) | v130(constB121, bitIndex1)),
% 8.09/6.08 inference(tautology,[status(thm)],[])).
% 8.09/6.08 tff(18199,plain,
% 8.09/6.08 (~v127(constB121, bitIndex1)),
% 8.09/6.08 inference(unit_resolution,[status(thm)],[18198, 18197, 18195])).
% 8.09/6.08 tff(18200,plain,
% 8.09/6.08 (((~v129(constB122, bitIndex1)) <=> v127(constB121, bitIndex1)) | (~v129(constB122, bitIndex1)) | v127(constB121, bitIndex1)),
% 8.09/6.08 inference(tautology,[status(thm)],[])).
% 8.09/6.08 tff(18201,plain,
% 8.09/6.08 (~v129(constB122, bitIndex1)),
% 8.09/6.08 inference(unit_resolution,[status(thm)],[18200, 18199, 18193])).
% 8.09/6.08 tff(18202,plain,
% 8.09/6.08 ((((~v90(constB122, bitIndex0)) <=> v129(constB122, bitIndex0)) | ((~v90(constB122, bitIndex2)) <=> v129(constB122, bitIndex2)) | ((~v90(constB122, bitIndex1)) <=> v129(constB122, bitIndex1))) | (~((~v90(constB122, bitIndex1)) <=> v129(constB122, bitIndex1)))),
% 8.09/6.08 inference(tautology,[status(thm)],[])).
% 8.09/6.08 tff(18203,plain,
% 8.09/6.08 (~((~v90(constB122, bitIndex1)) <=> v129(constB122, bitIndex1))),
% 8.09/6.08 inference(unit_resolution,[status(thm)],[18202, 18165])).
% 8.09/6.08 tff(18204,plain,
% 8.09/6.08 (((~v90(constB122, bitIndex1)) <=> v129(constB122, bitIndex1)) | (~v90(constB122, bitIndex1)) | v129(constB122, bitIndex1)),
% 8.09/6.08 inference(tautology,[status(thm)],[])).
% 8.09/6.08 tff(18205,plain,
% 8.09/6.08 (~v90(constB122, bitIndex1)),
% 8.09/6.08 inference(unit_resolution,[status(thm)],[18204, 18203, 18201])).
% 8.09/6.08 tff(18206,plain,
% 8.09/6.08 (((~v90(constB123, bitIndex1)) <=> v90(constB122, bitIndex1)) | (~v90(constB123, bitIndex1)) | v90(constB122, bitIndex1)),
% 8.09/6.08 inference(tautology,[status(thm)],[])).
% 8.09/6.08 tff(18207,plain,
% 8.09/6.08 (~v90(constB123, bitIndex1)),
% 8.09/6.08 inference(unit_resolution,[status(thm)],[18206, 18205, 18191])).
% 8.09/6.08 tff(18208,plain,
% 8.09/6.08 ((~(v90(constB123, bitIndex1) | v90(constB123, bitIndex0) | (~v90(constB123, bitIndex2)))) | v90(constB123, bitIndex1) | v90(constB123, bitIndex0) | (~v90(constB123, bitIndex2))),
% 8.09/6.08 inference(tautology,[status(thm)],[])).
% 8.09/6.08 tff(18209,plain,
% 8.09/6.08 (~(v90(constB123, bitIndex1) | v90(constB123, bitIndex0) | (~v90(constB123, bitIndex2)))),
% 8.09/6.08 inference(unit_resolution,[status(thm)],[18208, 18207, 18189, 18171])).
% 8.09/6.08 tff(18210,plain,
% 8.09/6.08 ((~(v123(constB123) <=> (~(v90(constB123, bitIndex1) | v90(constB123, bitIndex0) | (~v90(constB123, bitIndex2)))))) | v123(constB123) | (v90(constB123, bitIndex1) | v90(constB123, bitIndex0) | (~v90(constB123, bitIndex2)))),
% 8.09/6.08 inference(tautology,[status(thm)],[])).
% 8.09/6.08 tff(18211,plain,
% 8.09/6.08 (v123(constB123)),
% 8.09/6.08 inference(unit_resolution,[status(thm)],[18210, 18209, 17304])).
% 8.09/6.08 tff(18212,plain,
% 8.09/6.08 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | ((~v123(constB123)) | (~(v130(constB123, bitIndex0) | (~v130(constB123, bitIndex2)) | (~v130(constB123, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | (~v123(constB123)) | (~(v130(constB123, bitIndex0) | (~v130(constB123, bitIndex2)) | (~v130(constB123, bitIndex1)))))),
% 8.09/6.08 inference(rewrite,[status(thm)],[])).
% 8.09/6.08 tff(18213,plain,
% 8.09/6.08 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | ((~v123(constB123)) | (~(v130(constB123, bitIndex0) | (~v130(constB123, bitIndex2)) | (~v130(constB123, bitIndex1)))))),
% 8.09/6.08 inference(quant_inst,[status(thm)],[])).
% 8.09/6.08 tff(18214,plain,
% 8.09/6.08 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | (~v123(constB123)) | (~(v130(constB123, bitIndex0) | (~v130(constB123, bitIndex2)) | (~v130(constB123, bitIndex1))))),
% 8.09/6.08 inference(modus_ponens,[status(thm)],[18213, 18212])).
% 8.09/6.08 tff(18215,plain,
% 8.09/6.08 ((~v123(constB123)) | (~(v130(constB123, bitIndex0) | (~v130(constB123, bitIndex2)) | (~v130(constB123, bitIndex1))))),
% 8.09/6.08 inference(unit_resolution,[status(thm)],[18214, 3496])).
% 8.09/6.08 tff(18216,plain,
% 8.09/6.08 (~(v130(constB123, bitIndex0) | (~v130(constB123, bitIndex2)) | (~v130(constB123, bitIndex1)))),
% 8.09/6.08 inference(unit_resolution,[status(thm)],[18215, 18211])).
% 8.09/6.08 tff(18217,plain,
% 8.09/6.08 ((v130(constB123, bitIndex0) | (~v130(constB123, bitIndex2)) | (~v130(constB123, bitIndex1))) | v130(constB123, bitIndex2)),
% 8.09/6.08 inference(tautology,[status(thm)],[])).
% 8.09/6.08 tff(18218,plain,
% 8.09/6.08 (v130(constB123, bitIndex2)),
% 8.09/6.08 inference(unit_resolution,[status(thm)],[18217, 18216])).
% 8.09/6.08 tff(18219,plain,
% 8.09/6.08 (((~v127(constB123, bitIndex2)) <=> v130(constB123, bitIndex2)) | v127(constB123, bitIndex2) | (~v130(constB123, bitIndex2))),
% 8.09/6.08 inference(tautology,[status(thm)],[])).
% 8.09/6.08 tff(18220,plain,
% 8.09/6.08 (v127(constB123, bitIndex2)),
% 8.09/6.08 inference(unit_resolution,[status(thm)],[18219, 18218, 17297])).
% 8.09/6.08 tff(18221,plain,
% 8.09/6.08 (((~v129(constB124, bitIndex2)) <=> v127(constB123, bitIndex2)) | v129(constB124, bitIndex2) | (~v127(constB123, bitIndex2))),
% 8.09/6.08 inference(tautology,[status(thm)],[])).
% 8.09/6.08 tff(18222,plain,
% 8.09/6.08 (v129(constB124, bitIndex2)),
% 8.09/6.08 inference(unit_resolution,[status(thm)],[18221, 18220, 17283])).
% 8.09/6.08 tff(18223,plain,
% 8.09/6.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB123, constB124)) | (v100(constB124) <=> (~((~v101(constB124)) | (~v110(constB124))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB123, constB124)) | (v100(constB124) <=> (~((~v101(constB124)) | (~v110(constB124))))))),
% 8.09/6.08 inference(rewrite,[status(thm)],[])).
% 8.09/6.08 tff(18224,plain,
% 8.09/6.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB123, constB124)) | (v100(constB124) <=> (~((~v101(constB124)) | (~v110(constB124))))))),
% 8.09/6.08 inference(quant_inst,[status(thm)],[])).
% 8.09/6.08 tff(18225,plain,
% 8.09/6.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB123, constB124)) | (v100(constB124) <=> (~((~v101(constB124)) | (~v110(constB124)))))),
% 8.09/6.08 inference(modus_ponens,[status(thm)],[18224, 18223])).
% 8.09/6.08 tff(18226,plain,
% 8.09/6.08 (v100(constB124) <=> (~((~v101(constB124)) | (~v110(constB124))))),
% 8.09/6.08 inference(unit_resolution,[status(thm)],[18225, 17277, 445])).
% 8.09/6.08 tff(18227,plain,
% 8.09/6.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB123, constB124)) | (v101(constB124) <=> (~((~v1(constB124)) | (~v102(constB124))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB123, constB124)) | (v101(constB124) <=> (~((~v1(constB124)) | (~v102(constB124))))))),
% 8.09/6.08 inference(rewrite,[status(thm)],[])).
% 8.09/6.08 tff(18228,plain,
% 8.09/6.08 (((~nextState(constB123, constB124)) | (v101(constB124) <=> (~((~v102(constB124)) | (~v1(constB124)))))) <=> ((~nextState(constB123, constB124)) | (v101(constB124) <=> (~((~v1(constB124)) | (~v102(constB124))))))),
% 8.09/6.08 inference(rewrite,[status(thm)],[])).
% 8.09/6.08 tff(18229,plain,
% 8.09/6.08 (((~![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) <=> (~((~v1(constB124)) | (~v102(constB124)))))))),
% 8.09/6.08 inference(monotonicity,[status(thm)],[18228])).
% 8.09/6.08 tff(18230,plain,
% 8.09/6.08 (((~![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) <=> (~((~v1(constB124)) | (~v102(constB124))))))),
% 8.09/6.08 inference(transitivity,[status(thm)],[18229, 18227])).
% 8.09/6.08 tff(18231,plain,
% 8.09/6.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB123, constB124)) | (v101(constB124) <=> (~((~v102(constB124)) | (~v1(constB124))))))),
% 8.09/6.08 inference(quant_inst,[status(thm)],[])).
% 8.09/6.08 tff(18232,plain,
% 8.09/6.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB123, constB124)) | (v101(constB124) <=> (~((~v1(constB124)) | (~v102(constB124)))))),
% 8.09/6.08 inference(modus_ponens,[status(thm)],[18231, 18230])).
% 8.09/6.08 tff(18233,plain,
% 8.09/6.08 (v101(constB124) <=> (~((~v1(constB124)) | (~v102(constB124))))),
% 8.09/6.08 inference(unit_resolution,[status(thm)],[18232, 17277, 465])).
% 8.09/6.08 tff(18234,plain,
% 8.09/6.08 (((~![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)))),
% 8.09/6.08 inference(rewrite,[status(thm)],[])).
% 8.09/6.08 tff(18235,plain,
% 8.09/6.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB123, constB124)) | ((~v102(constB124)) <=> v104(constB124)))),
% 8.09/6.08 inference(quant_inst,[status(thm)],[])).
% 8.09/6.08 tff(18236,plain,
% 8.09/6.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB123, constB124)) | ((~v102(constB124)) <=> v104(constB124))),
% 8.09/6.08 inference(modus_ponens,[status(thm)],[18235, 18234])).
% 8.09/6.08 tff(18237,plain,
% 8.09/6.08 ((~v102(constB124)) <=> v104(constB124)),
% 8.09/6.08 inference(unit_resolution,[status(thm)],[18236, 17277, 3244])).
% 8.09/6.08 tff(18238,plain,
% 8.09/6.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB123, constB124)) | (v104(constB124) <=> v1(constB123)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB123, constB124)) | (v104(constB124) <=> v1(constB123)))),
% 8.09/6.08 inference(rewrite,[status(thm)],[])).
% 8.09/6.08 tff(18239,plain,
% 8.09/6.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB123, constB124)) | (v104(constB124) <=> v1(constB123)))),
% 8.09/6.08 inference(quant_inst,[status(thm)],[])).
% 8.09/6.08 tff(18240,plain,
% 8.09/6.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB123, constB124)) | (v104(constB124) <=> v1(constB123))),
% 8.09/6.08 inference(modus_ponens,[status(thm)],[18239, 18238])).
% 8.09/6.08 tff(18241,plain,
% 8.09/6.08 (v104(constB124) <=> v1(constB123)),
% 8.09/6.08 inference(unit_resolution,[status(thm)],[18240, 17277, 3258])).
% 8.09/6.08 tff(18242,plain,
% 8.09/6.08 ((~(v104(constB124) <=> v1(constB123))) | (~v104(constB124)) | v1(constB123)),
% 8.09/6.08 inference(tautology,[status(thm)],[])).
% 8.09/6.08 tff(18243,plain,
% 8.09/6.08 ((~(v104(constB124) <=> v1(constB123))) | (~v104(constB124))),
% 8.09/6.08 inference(unit_resolution,[status(thm)],[18242, 17321])).
% 8.09/6.08 tff(18244,plain,
% 8.09/6.08 (~v104(constB124)),
% 8.09/6.08 inference(unit_resolution,[status(thm)],[18243, 18241])).
% 8.09/6.08 tff(18245,plain,
% 8.09/6.08 ((~((~v102(constB124)) <=> v104(constB124))) | v102(constB124) | v104(constB124)),
% 8.09/6.08 inference(tautology,[status(thm)],[])).
% 8.09/6.08 tff(18246,plain,
% 8.09/6.08 (v102(constB124)),
% 8.09/6.08 inference(unit_resolution,[status(thm)],[18245, 18244, 18237])).
% 8.09/6.08 tff(18247,plain,
% 8.09/6.08 (v1(constB124) <=> v1(constB124)),
% 8.09/6.08 inference(rewrite,[status(thm)],[])).
% 8.09/6.08 tff(18248,axiom,(v1(constB124)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_124')).
% 8.09/6.08 tff(18249,plain,
% 8.09/6.08 (v1(constB124)),
% 8.09/6.08 inference(modus_ponens,[status(thm)],[18248, 18247])).
% 8.09/6.08 tff(18250,plain,
% 8.09/6.08 ((~((~v1(constB124)) | (~v102(constB124)))) | (~v1(constB124)) | (~v102(constB124))),
% 8.09/6.08 inference(tautology,[status(thm)],[])).
% 8.09/6.08 tff(18251,plain,
% 8.09/6.08 ((~((~v1(constB124)) | (~v102(constB124)))) | (~v102(constB124))),
% 8.09/6.08 inference(unit_resolution,[status(thm)],[18250, 18249])).
% 8.09/6.08 tff(18252,plain,
% 8.09/6.08 (~((~v1(constB124)) | (~v102(constB124)))),
% 8.09/6.08 inference(unit_resolution,[status(thm)],[18251, 18246])).
% 8.09/6.08 tff(18253,plain,
% 8.09/6.08 ((~(v101(constB124) <=> (~((~v1(constB124)) | (~v102(constB124)))))) | v101(constB124) | ((~v1(constB124)) | (~v102(constB124)))),
% 8.09/6.08 inference(tautology,[status(thm)],[])).
% 8.09/6.08 tff(18254,plain,
% 8.09/6.08 (v101(constB124)),
% 8.09/6.08 inference(unit_resolution,[status(thm)],[18253, 18252, 18233])).
% 8.09/6.08 tff(18255,plain,
% 8.09/6.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB123, constB124)) | (v110(constB124) <=> v108(constB123)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB123, constB124)) | (v110(constB124) <=> v108(constB123)))),
% 8.09/6.08 inference(rewrite,[status(thm)],[])).
% 8.09/6.08 tff(18256,plain,
% 8.09/6.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB123, constB124)) | (v110(constB124) <=> v108(constB123)))),
% 8.09/6.08 inference(quant_inst,[status(thm)],[])).
% 8.09/6.08 tff(18257,plain,
% 8.09/6.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB123, constB124)) | (v110(constB124) <=> v108(constB123))),
% 8.09/6.08 inference(modus_ponens,[status(thm)],[18256, 18255])).
% 8.09/6.08 tff(18258,plain,
% 8.09/6.08 (v110(constB124) <=> v108(constB123)),
% 8.09/6.08 inference(unit_resolution,[status(thm)],[18257, 17277, 3285])).
% 8.09/6.08 tff(18259,plain,
% 8.09/6.08 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB123) <=> (v111(constB123) | v112(constB123)))),
% 8.09/6.08 inference(quant_inst,[status(thm)],[])).
% 8.09/6.08 tff(18260,plain,
% 8.09/6.08 (v108(constB123) <=> (v111(constB123) | v112(constB123))),
% 8.09/6.08 inference(unit_resolution,[status(thm)],[18259, 3296])).
% 8.09/6.08 tff(18261,plain,
% 8.09/6.08 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB123) <=> (~((~v113(constB123)) | (~v126(constB123)))))),
% 8.09/6.08 inference(quant_inst,[status(thm)],[])).
% 8.09/6.08 tff(18262,plain,
% 8.09/6.08 (v112(constB123) <=> (~((~v113(constB123)) | (~v126(constB123))))),
% 8.09/6.08 inference(unit_resolution,[status(thm)],[18261, 3308])).
% 8.09/6.08 tff(18263,plain,
% 8.09/6.08 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB123) <=> (v114(constB123) | v125(constB123)))),
% 8.09/6.08 inference(quant_inst,[status(thm)],[])).
% 8.09/6.08 tff(18264,plain,
% 8.09/6.08 (v113(constB123) <=> (v114(constB123) | v125(constB123))),
% 8.09/6.08 inference(unit_resolution,[status(thm)],[18263, 3317])).
% 8.09/6.08 tff(18265,plain,
% 8.09/6.08 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB123) <=> (v115(constB123) | v124(constB123)))),
% 8.09/6.08 inference(quant_inst,[status(thm)],[])).
% 8.09/6.08 tff(18266,plain,
% 8.09/6.08 (v114(constB123) <=> (v115(constB123) | v124(constB123))),
% 8.09/6.08 inference(unit_resolution,[status(thm)],[18265, 3326])).
% 8.09/6.08 tff(18267,plain,
% 8.09/6.08 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB123) <=> (v116(constB123) | v123(constB123)))),
% 8.09/6.08 inference(quant_inst,[status(thm)],[])).
% 8.09/6.08 tff(18268,plain,
% 8.09/6.08 (v115(constB123) <=> (v116(constB123) | v123(constB123))),
% 8.09/6.08 inference(unit_resolution,[status(thm)],[18267, 3335])).
% 8.09/6.08 tff(18269,plain,
% 8.09/6.08 ((v116(constB123) | v123(constB123)) | (~v123(constB123))),
% 8.09/6.08 inference(tautology,[status(thm)],[])).
% 8.09/6.08 tff(18270,plain,
% 8.09/6.08 (v116(constB123) | v123(constB123)),
% 8.09/6.08 inference(unit_resolution,[status(thm)],[18269, 18211])).
% 8.09/6.08 tff(18271,plain,
% 8.09/6.08 ((~(v115(constB123) <=> (v116(constB123) | v123(constB123)))) | v115(constB123) | (~(v116(constB123) | v123(constB123)))),
% 8.09/6.08 inference(tautology,[status(thm)],[])).
% 8.09/6.08 tff(18272,plain,
% 8.09/6.08 (v115(constB123)),
% 8.09/6.08 inference(unit_resolution,[status(thm)],[18271, 18270, 18268])).
% 8.09/6.08 tff(18273,plain,
% 8.09/6.08 ((v115(constB123) | v124(constB123)) | (~v115(constB123))),
% 8.09/6.08 inference(tautology,[status(thm)],[])).
% 8.09/6.08 tff(18274,plain,
% 8.09/6.08 (v115(constB123) | v124(constB123)),
% 8.09/6.08 inference(unit_resolution,[status(thm)],[18273, 18272])).
% 8.09/6.08 tff(18275,plain,
% 8.09/6.08 ((~(v114(constB123) <=> (v115(constB123) | v124(constB123)))) | v114(constB123) | (~(v115(constB123) | v124(constB123)))),
% 8.09/6.08 inference(tautology,[status(thm)],[])).
% 8.09/6.08 tff(18276,plain,
% 8.09/6.08 (v114(constB123)),
% 8.09/6.08 inference(unit_resolution,[status(thm)],[18275, 18274, 18266])).
% 8.09/6.08 tff(18277,plain,
% 8.09/6.08 ((v114(constB123) | v125(constB123)) | (~v114(constB123))),
% 8.09/6.08 inference(tautology,[status(thm)],[])).
% 8.09/6.08 tff(18278,plain,
% 8.09/6.08 (v114(constB123) | v125(constB123)),
% 8.09/6.08 inference(unit_resolution,[status(thm)],[18277, 18276])).
% 8.09/6.08 tff(18279,plain,
% 8.09/6.08 ((~(v113(constB123) <=> (v114(constB123) | v125(constB123)))) | v113(constB123) | (~(v114(constB123) | v125(constB123)))),
% 8.09/6.08 inference(tautology,[status(thm)],[])).
% 8.09/6.08 tff(18280,plain,
% 8.09/6.08 (v113(constB123)),
% 8.09/6.08 inference(unit_resolution,[status(thm)],[18279, 18278, 18264])).
% 8.09/6.08 tff(18281,plain,
% 8.09/6.08 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB123)) <=> v111(constB123))),
% 8.09/6.08 inference(quant_inst,[status(thm)],[])).
% 8.09/6.08 tff(18282,plain,
% 8.09/6.08 ((~v126(constB123)) <=> v111(constB123)),
% 8.09/6.08 inference(unit_resolution,[status(thm)],[18281, 3396])).
% 8.09/6.08 tff(18283,plain,
% 8.09/6.08 ((~((~v126(constB123)) <=> v111(constB123))) | v126(constB123) | v111(constB123)),
% 8.09/6.08 inference(tautology,[status(thm)],[])).
% 8.09/6.08 tff(18284,plain,
% 8.09/6.08 ((~((~v126(constB123)) <=> v111(constB123))) | v126(constB123)),
% 8.09/6.08 inference(unit_resolution,[status(thm)],[18283, 17290])).
% 8.09/6.08 tff(18285,plain,
% 8.09/6.08 (v126(constB123)),
% 8.09/6.08 inference(unit_resolution,[status(thm)],[18284, 18282])).
% 8.09/6.08 tff(18286,plain,
% 8.09/6.08 ((~((~v113(constB123)) | (~v126(constB123)))) | (~v113(constB123)) | (~v126(constB123))),
% 8.09/6.08 inference(tautology,[status(thm)],[])).
% 8.09/6.08 tff(18287,plain,
% 8.09/6.08 ((~((~v113(constB123)) | (~v126(constB123)))) | (~v113(constB123))),
% 8.09/6.08 inference(unit_resolution,[status(thm)],[18286, 18285])).
% 8.09/6.08 tff(18288,plain,
% 8.09/6.08 (~((~v113(constB123)) | (~v126(constB123)))),
% 8.09/6.08 inference(unit_resolution,[status(thm)],[18287, 18280])).
% 8.09/6.08 tff(18289,plain,
% 8.09/6.08 ((~(v112(constB123) <=> (~((~v113(constB123)) | (~v126(constB123)))))) | v112(constB123) | ((~v113(constB123)) | (~v126(constB123)))),
% 8.09/6.08 inference(tautology,[status(thm)],[])).
% 8.09/6.08 tff(18290,plain,
% 8.09/6.08 (v112(constB123)),
% 8.09/6.08 inference(unit_resolution,[status(thm)],[18289, 18288, 18262])).
% 8.09/6.08 tff(18291,plain,
% 8.09/6.08 ((v111(constB123) | v112(constB123)) | (~v112(constB123))),
% 8.09/6.08 inference(tautology,[status(thm)],[])).
% 8.09/6.08 tff(18292,plain,
% 8.09/6.08 (v111(constB123) | v112(constB123)),
% 8.09/6.08 inference(unit_resolution,[status(thm)],[18291, 18290])).
% 8.09/6.08 tff(18293,plain,
% 8.09/6.08 ((~(v108(constB123) <=> (v111(constB123) | v112(constB123)))) | v108(constB123) | (~(v111(constB123) | v112(constB123)))),
% 8.09/6.08 inference(tautology,[status(thm)],[])).
% 8.09/6.08 tff(18294,plain,
% 8.09/6.08 (v108(constB123)),
% 8.09/6.08 inference(unit_resolution,[status(thm)],[18293, 18292, 18260])).
% 8.09/6.08 tff(18295,plain,
% 8.09/6.08 ((~(v110(constB124) <=> v108(constB123))) | v110(constB124) | (~v108(constB123))),
% 8.09/6.08 inference(tautology,[status(thm)],[])).
% 8.09/6.08 tff(18296,plain,
% 8.09/6.08 (v110(constB124)),
% 8.09/6.08 inference(unit_resolution,[status(thm)],[18295, 18294, 18258])).
% 8.09/6.08 tff(18297,plain,
% 8.09/6.08 ((~((~v101(constB124)) | (~v110(constB124)))) | (~v101(constB124)) | (~v110(constB124))),
% 8.09/6.08 inference(tautology,[status(thm)],[])).
% 8.09/6.08 tff(18298,plain,
% 8.09/6.08 (~((~v101(constB124)) | (~v110(constB124)))),
% 8.09/6.08 inference(unit_resolution,[status(thm)],[18297, 18296, 18254])).
% 8.09/6.08 tff(18299,plain,
% 8.09/6.08 ((~(v100(constB124) <=> (~((~v101(constB124)) | (~v110(constB124)))))) | v100(constB124) | ((~v101(constB124)) | (~v110(constB124)))),
% 8.09/6.08 inference(tautology,[status(thm)],[])).
% 8.09/6.08 tff(18300,plain,
% 8.09/6.08 (v100(constB124)),
% 8.09/6.08 inference(unit_resolution,[status(thm)],[18299, 18298, 18226])).
% 8.09/6.08 tff(18301,plain,
% 8.09/6.08 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB124)) | (~(((~v90(constB124, bitIndex2)) <=> v129(constB124, bitIndex2)) | ((~v90(constB124, bitIndex1)) <=> v129(constB124, bitIndex1)) | ((~v90(constB124, bitIndex0)) <=> v129(constB124, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB124)) | (~(((~v90(constB124, bitIndex2)) <=> v129(constB124, bitIndex2)) | ((~v90(constB124, bitIndex1)) <=> v129(constB124, bitIndex1)) | ((~v90(constB124, bitIndex0)) <=> v129(constB124, bitIndex0)))))),
% 8.09/6.08 inference(rewrite,[status(thm)],[])).
% 8.09/6.08 tff(18302,plain,
% 8.09/6.08 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB124)) | (~(((~v90(constB124, bitIndex2)) <=> v129(constB124, bitIndex2)) | ((~v90(constB124, bitIndex1)) <=> v129(constB124, bitIndex1)) | ((~v90(constB124, bitIndex0)) <=> v129(constB124, bitIndex0)))))),
% 8.09/6.08 inference(quant_inst,[status(thm)],[])).
% 8.09/6.08 tff(18303,plain,
% 8.09/6.08 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB124)) | (~(((~v90(constB124, bitIndex2)) <=> v129(constB124, bitIndex2)) | ((~v90(constB124, bitIndex1)) <=> v129(constB124, bitIndex1)) | ((~v90(constB124, bitIndex0)) <=> v129(constB124, bitIndex0))))),
% 8.09/6.08 inference(modus_ponens,[status(thm)],[18302, 18301])).
% 8.09/6.08 tff(18304,plain,
% 8.09/6.08 ((~v100(constB124)) | (~(((~v90(constB124, bitIndex2)) <=> v129(constB124, bitIndex2)) | ((~v90(constB124, bitIndex1)) <=> v129(constB124, bitIndex1)) | ((~v90(constB124, bitIndex0)) <=> v129(constB124, bitIndex0))))),
% 8.09/6.08 inference(unit_resolution,[status(thm)],[18303, 3429])).
% 8.09/6.08 tff(18305,plain,
% 8.09/6.08 (~(((~v90(constB124, bitIndex2)) <=> v129(constB124, bitIndex2)) | ((~v90(constB124, bitIndex1)) <=> v129(constB124, bitIndex1)) | ((~v90(constB124, bitIndex0)) <=> v129(constB124, bitIndex0)))),
% 8.09/6.08 inference(unit_resolution,[status(thm)],[18304, 18300])).
% 8.09/6.08 tff(18306,plain,
% 8.09/6.08 ((((~v90(constB124, bitIndex2)) <=> v129(constB124, bitIndex2)) | ((~v90(constB124, bitIndex1)) <=> v129(constB124, bitIndex1)) | ((~v90(constB124, bitIndex0)) <=> v129(constB124, bitIndex0))) | (~((~v90(constB124, bitIndex2)) <=> v129(constB124, bitIndex2)))),
% 8.09/6.08 inference(tautology,[status(thm)],[])).
% 8.09/6.08 tff(18307,plain,
% 8.09/6.08 (~((~v90(constB124, bitIndex2)) <=> v129(constB124, bitIndex2))),
% 8.09/6.08 inference(unit_resolution,[status(thm)],[18306, 18305])).
% 8.09/6.08 tff(18308,plain,
% 8.09/6.08 (((~v90(constB124, bitIndex2)) <=> v129(constB124, bitIndex2)) | v90(constB124, bitIndex2) | (~v129(constB124, bitIndex2))),
% 8.09/6.08 inference(tautology,[status(thm)],[])).
% 8.09/6.08 tff(18309,plain,
% 8.09/6.08 (v90(constB124, bitIndex2)),
% 8.09/6.08 inference(unit_resolution,[status(thm)],[18308, 18307, 18222])).
% 8.09/6.08 tff(18310,plain,
% 8.09/6.08 (((~v90(constB125, bitIndex2)) <=> v90(constB124, bitIndex2)) | v90(constB125, bitIndex2) | (~v90(constB124, bitIndex2))),
% 8.09/6.09 inference(tautology,[status(thm)],[])).
% 8.09/6.09 tff(18311,plain,
% 8.09/6.09 (v90(constB125, bitIndex2)),
% 8.09/6.09 inference(unit_resolution,[status(thm)],[18310, 18309, 17274])).
% 8.09/6.09 tff(18312,plain,
% 8.09/6.09 ((v90(constB125, bitIndex0) | v90(constB125, bitIndex1) | v90(constB125, bitIndex2)) | (~v90(constB125, bitIndex2))),
% 8.09/6.09 inference(tautology,[status(thm)],[])).
% 8.09/6.09 tff(18313,plain,
% 8.09/6.09 (v90(constB125, bitIndex0) | v90(constB125, bitIndex1) | v90(constB125, bitIndex2)),
% 8.09/6.09 inference(unit_resolution,[status(thm)],[18312, 18311])).
% 8.09/6.09 tff(18314,plain,
% 8.09/6.09 ((~(v119(constB125) <=> (~(v90(constB125, bitIndex0) | v90(constB125, bitIndex1) | v90(constB125, bitIndex2))))) | (~v119(constB125)) | (~(v90(constB125, bitIndex0) | v90(constB125, bitIndex1) | v90(constB125, bitIndex2)))),
% 8.09/6.09 inference(tautology,[status(thm)],[])).
% 8.09/6.09 tff(18315,plain,
% 8.09/6.09 (~v119(constB125)),
% 8.09/6.09 inference(unit_resolution,[status(thm)],[18314, 18313, 17238])).
% 8.09/6.09 tff(18316,plain,
% 8.09/6.09 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB125) <=> (~(v90(constB125, bitIndex1) | (~v90(constB125, bitIndex2)) | (~v90(constB125, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB125) <=> (~(v90(constB125, bitIndex1) | (~v90(constB125, bitIndex2)) | (~v90(constB125, bitIndex0))))))),
% 8.09/6.09 inference(rewrite,[status(thm)],[])).
% 8.09/6.09 tff(18317,plain,
% 8.09/6.09 ((v124(constB125) <=> (~(v90(constB125, bitIndex1) | (~v90(constB125, bitIndex0)) | (~v90(constB125, bitIndex2))))) <=> (v124(constB125) <=> (~(v90(constB125, bitIndex1) | (~v90(constB125, bitIndex2)) | (~v90(constB125, bitIndex0)))))),
% 8.09/6.09 inference(rewrite,[status(thm)],[])).
% 8.09/6.09 tff(18318,plain,
% 8.09/6.09 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB125) <=> (~(v90(constB125, bitIndex1) | (~v90(constB125, bitIndex0)) | (~v90(constB125, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB125) <=> (~(v90(constB125, bitIndex1) | (~v90(constB125, bitIndex2)) | (~v90(constB125, bitIndex0))))))),
% 8.09/6.09 inference(monotonicity,[status(thm)],[18317])).
% 8.09/6.09 tff(18319,plain,
% 8.09/6.09 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB125) <=> (~(v90(constB125, bitIndex1) | (~v90(constB125, bitIndex0)) | (~v90(constB125, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB125) <=> (~(v90(constB125, bitIndex1) | (~v90(constB125, bitIndex2)) | (~v90(constB125, bitIndex0))))))),
% 8.09/6.09 inference(transitivity,[status(thm)],[18318, 18316])).
% 8.09/6.09 tff(18320,plain,
% 8.09/6.09 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB125) <=> (~(v90(constB125, bitIndex1) | (~v90(constB125, bitIndex0)) | (~v90(constB125, bitIndex2)))))),
% 8.09/6.09 inference(quant_inst,[status(thm)],[])).
% 8.09/6.09 tff(18321,plain,
% 8.09/6.09 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB125) <=> (~(v90(constB125, bitIndex1) | (~v90(constB125, bitIndex2)) | (~v90(constB125, bitIndex0)))))),
% 8.09/6.09 inference(modus_ponens,[status(thm)],[18320, 18319])).
% 8.09/6.09 tff(18322,plain,
% 8.09/6.09 (v124(constB125) <=> (~(v90(constB125, bitIndex1) | (~v90(constB125, bitIndex2)) | (~v90(constB125, bitIndex0))))),
% 8.09/6.09 inference(unit_resolution,[status(thm)],[18321, 3613])).
% 8.09/6.09 tff(18323,plain,
% 8.09/6.09 ((((~v90(constB125, bitIndex1)) <=> v90(constB124, bitIndex1)) | ((~v90(constB125, bitIndex2)) <=> v90(constB124, bitIndex2)) | ((~v90(constB125, bitIndex0)) <=> v90(constB124, bitIndex0))) | (~((~v90(constB125, bitIndex1)) <=> v90(constB124, bitIndex1)))),
% 8.09/6.09 inference(tautology,[status(thm)],[])).
% 8.09/6.09 tff(18324,plain,
% 8.09/6.09 (~((~v90(constB125, bitIndex1)) <=> v90(constB124, bitIndex1))),
% 8.09/6.09 inference(unit_resolution,[status(thm)],[18323, 17272])).
% 8.09/6.09 tff(18325,plain,
% 8.09/6.09 ((((~v129(constB124, bitIndex2)) <=> v127(constB123, bitIndex2)) | ((~v129(constB124, bitIndex1)) <=> v127(constB123, bitIndex1)) | ((~v129(constB124, bitIndex0)) <=> v127(constB123, bitIndex0))) | (~((~v129(constB124, bitIndex1)) <=> v127(constB123, bitIndex1)))),
% 8.09/6.09 inference(tautology,[status(thm)],[])).
% 8.09/6.09 tff(18326,plain,
% 8.09/6.09 (~((~v129(constB124, bitIndex1)) <=> v127(constB123, bitIndex1))),
% 8.09/6.09 inference(unit_resolution,[status(thm)],[18325, 17281])).
% 8.09/6.09 tff(18327,plain,
% 8.09/6.09 ((((~v127(constB123, bitIndex2)) <=> v130(constB123, bitIndex2)) | ((~v127(constB123, bitIndex1)) <=> v130(constB123, bitIndex1)) | ((~v127(constB123, bitIndex0)) <=> v130(constB123, bitIndex0))) | (~((~v127(constB123, bitIndex1)) <=> v130(constB123, bitIndex1)))),
% 8.09/6.09 inference(tautology,[status(thm)],[])).
% 8.09/6.09 tff(18328,plain,
% 8.09/6.09 (~((~v127(constB123, bitIndex1)) <=> v130(constB123, bitIndex1))),
% 8.09/6.09 inference(unit_resolution,[status(thm)],[18327, 17295])).
% 8.09/6.09 tff(18329,plain,
% 8.09/6.09 ((v130(constB123, bitIndex0) | (~v130(constB123, bitIndex2)) | (~v130(constB123, bitIndex1))) | v130(constB123, bitIndex1)),
% 8.09/6.09 inference(tautology,[status(thm)],[])).
% 8.09/6.09 tff(18330,plain,
% 8.09/6.09 (v130(constB123, bitIndex1)),
% 8.09/6.09 inference(unit_resolution,[status(thm)],[18329, 18216])).
% 8.09/6.09 tff(18331,plain,
% 8.09/6.09 (((~v127(constB123, bitIndex1)) <=> v130(constB123, bitIndex1)) | v127(constB123, bitIndex1) | (~v130(constB123, bitIndex1))),
% 8.09/6.09 inference(tautology,[status(thm)],[])).
% 8.09/6.09 tff(18332,plain,
% 8.09/6.09 (v127(constB123, bitIndex1)),
% 8.09/6.09 inference(unit_resolution,[status(thm)],[18331, 18330, 18328])).
% 8.09/6.09 tff(18333,plain,
% 8.09/6.09 (((~v129(constB124, bitIndex1)) <=> v127(constB123, bitIndex1)) | v129(constB124, bitIndex1) | (~v127(constB123, bitIndex1))),
% 8.09/6.09 inference(tautology,[status(thm)],[])).
% 8.09/6.09 tff(18334,plain,
% 8.09/6.09 (v129(constB124, bitIndex1)),
% 8.09/6.09 inference(unit_resolution,[status(thm)],[18333, 18332, 18326])).
% 8.09/6.09 tff(18335,plain,
% 8.09/6.09 ((((~v90(constB124, bitIndex2)) <=> v129(constB124, bitIndex2)) | ((~v90(constB124, bitIndex1)) <=> v129(constB124, bitIndex1)) | ((~v90(constB124, bitIndex0)) <=> v129(constB124, bitIndex0))) | (~((~v90(constB124, bitIndex1)) <=> v129(constB124, bitIndex1)))),
% 8.09/6.09 inference(tautology,[status(thm)],[])).
% 8.09/6.09 tff(18336,plain,
% 8.09/6.09 (~((~v90(constB124, bitIndex1)) <=> v129(constB124, bitIndex1))),
% 8.09/6.09 inference(unit_resolution,[status(thm)],[18335, 18305])).
% 8.09/6.09 tff(18337,plain,
% 8.09/6.09 (((~v90(constB124, bitIndex1)) <=> v129(constB124, bitIndex1)) | v90(constB124, bitIndex1) | (~v129(constB124, bitIndex1))),
% 8.09/6.09 inference(tautology,[status(thm)],[])).
% 8.09/6.09 tff(18338,plain,
% 8.09/6.09 (v90(constB124, bitIndex1)),
% 8.09/6.09 inference(unit_resolution,[status(thm)],[18337, 18336, 18334])).
% 8.09/6.09 tff(18339,plain,
% 8.09/6.09 (((~v90(constB125, bitIndex1)) <=> v90(constB124, bitIndex1)) | v90(constB125, bitIndex1) | (~v90(constB124, bitIndex1))),
% 8.09/6.09 inference(tautology,[status(thm)],[])).
% 8.09/6.09 tff(18340,plain,
% 8.09/6.09 (v90(constB125, bitIndex1)),
% 8.09/6.09 inference(unit_resolution,[status(thm)],[18339, 18338, 18324])).
% 8.09/6.09 tff(18341,plain,
% 8.09/6.09 ((v90(constB125, bitIndex1) | (~v90(constB125, bitIndex2)) | (~v90(constB125, bitIndex0))) | (~v90(constB125, bitIndex1))),
% 8.09/6.09 inference(tautology,[status(thm)],[])).
% 8.09/6.09 tff(18342,plain,
% 8.09/6.09 (v90(constB125, bitIndex1) | (~v90(constB125, bitIndex2)) | (~v90(constB125, bitIndex0))),
% 8.09/6.09 inference(unit_resolution,[status(thm)],[18341, 18340])).
% 8.09/6.09 tff(18343,plain,
% 8.09/6.09 ((~(v124(constB125) <=> (~(v90(constB125, bitIndex1) | (~v90(constB125, bitIndex2)) | (~v90(constB125, bitIndex0)))))) | (~v124(constB125)) | (~(v90(constB125, bitIndex1) | (~v90(constB125, bitIndex2)) | (~v90(constB125, bitIndex0))))),
% 8.09/6.09 inference(tautology,[status(thm)],[])).
% 8.09/6.09 tff(18344,plain,
% 8.09/6.09 (~v124(constB125)),
% 8.09/6.09 inference(unit_resolution,[status(thm)],[18343, 18342, 18322])).
% 8.09/6.09 tff(18345,plain,
% 8.09/6.09 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB125) <=> (~(v90(constB125, bitIndex1) | v90(constB125, bitIndex0) | (~v90(constB125, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB125) <=> (~(v90(constB125, bitIndex1) | v90(constB125, bitIndex0) | (~v90(constB125, bitIndex2))))))),
% 8.09/6.09 inference(rewrite,[status(thm)],[])).
% 8.09/6.09 tff(18346,plain,
% 8.09/6.09 ((v123(constB125) <=> (~(v90(constB125, bitIndex0) | v90(constB125, bitIndex1) | (~v90(constB125, bitIndex2))))) <=> (v123(constB125) <=> (~(v90(constB125, bitIndex1) | v90(constB125, bitIndex0) | (~v90(constB125, bitIndex2)))))),
% 8.09/6.09 inference(rewrite,[status(thm)],[])).
% 8.09/6.09 tff(18347,plain,
% 8.09/6.09 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB125) <=> (~(v90(constB125, bitIndex0) | v90(constB125, bitIndex1) | (~v90(constB125, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB125) <=> (~(v90(constB125, bitIndex1) | v90(constB125, bitIndex0) | (~v90(constB125, bitIndex2))))))),
% 8.09/6.09 inference(monotonicity,[status(thm)],[18346])).
% 8.09/6.09 tff(18348,plain,
% 8.09/6.09 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB125) <=> (~(v90(constB125, bitIndex0) | v90(constB125, bitIndex1) | (~v90(constB125, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB125) <=> (~(v90(constB125, bitIndex1) | v90(constB125, bitIndex0) | (~v90(constB125, bitIndex2))))))),
% 8.09/6.09 inference(transitivity,[status(thm)],[18347, 18345])).
% 8.09/6.09 tff(18349,plain,
% 8.09/6.09 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB125) <=> (~(v90(constB125, bitIndex0) | v90(constB125, bitIndex1) | (~v90(constB125, bitIndex2)))))),
% 8.09/6.09 inference(quant_inst,[status(thm)],[])).
% 8.09/6.09 tff(18350,plain,
% 8.09/6.09 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB125) <=> (~(v90(constB125, bitIndex1) | v90(constB125, bitIndex0) | (~v90(constB125, bitIndex2)))))),
% 8.09/6.09 inference(modus_ponens,[status(thm)],[18349, 18348])).
% 8.09/6.09 tff(18351,plain,
% 8.09/6.09 (v123(constB125) <=> (~(v90(constB125, bitIndex1) | v90(constB125, bitIndex0) | (~v90(constB125, bitIndex2))))),
% 8.09/6.09 inference(unit_resolution,[status(thm)],[18350, 800])).
% 8.09/6.09 tff(18352,plain,
% 8.09/6.09 ((v90(constB125, bitIndex1) | v90(constB125, bitIndex0) | (~v90(constB125, bitIndex2))) | (~v90(constB125, bitIndex1))),
% 8.09/6.09 inference(tautology,[status(thm)],[])).
% 8.09/6.09 tff(18353,plain,
% 8.09/6.09 (v90(constB125, bitIndex1) | v90(constB125, bitIndex0) | (~v90(constB125, bitIndex2))),
% 8.09/6.09 inference(unit_resolution,[status(thm)],[18352, 18340])).
% 8.09/6.09 tff(18354,plain,
% 8.09/6.09 ((~(v123(constB125) <=> (~(v90(constB125, bitIndex1) | v90(constB125, bitIndex0) | (~v90(constB125, bitIndex2)))))) | (~v123(constB125)) | (~(v90(constB125, bitIndex1) | v90(constB125, bitIndex0) | (~v90(constB125, bitIndex2))))),
% 8.09/6.09 inference(tautology,[status(thm)],[])).
% 8.09/6.09 tff(18355,plain,
% 8.09/6.09 (~v123(constB125)),
% 8.09/6.09 inference(unit_resolution,[status(thm)],[18354, 18353, 18351])).
% 8.09/6.09 tff(18356,plain,
% 8.09/6.09 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB125) <=> (~(v90(constB125, bitIndex2) | (~v90(constB125, bitIndex1)) | (~v90(constB125, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB125) <=> (~(v90(constB125, bitIndex2) | (~v90(constB125, bitIndex1)) | (~v90(constB125, bitIndex0))))))),
% 8.09/6.09 inference(rewrite,[status(thm)],[])).
% 8.09/6.09 tff(18357,plain,
% 8.09/6.09 ((v122(constB125) <=> (~(v90(constB125, bitIndex2) | (~v90(constB125, bitIndex0)) | (~v90(constB125, bitIndex1))))) <=> (v122(constB125) <=> (~(v90(constB125, bitIndex2) | (~v90(constB125, bitIndex1)) | (~v90(constB125, bitIndex0)))))),
% 8.09/6.09 inference(rewrite,[status(thm)],[])).
% 8.09/6.09 tff(18358,plain,
% 8.09/6.09 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB125) <=> (~(v90(constB125, bitIndex2) | (~v90(constB125, bitIndex0)) | (~v90(constB125, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB125) <=> (~(v90(constB125, bitIndex2) | (~v90(constB125, bitIndex1)) | (~v90(constB125, bitIndex0))))))),
% 8.09/6.09 inference(monotonicity,[status(thm)],[18357])).
% 8.09/6.09 tff(18359,plain,
% 8.09/6.09 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB125) <=> (~(v90(constB125, bitIndex2) | (~v90(constB125, bitIndex0)) | (~v90(constB125, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB125) <=> (~(v90(constB125, bitIndex2) | (~v90(constB125, bitIndex1)) | (~v90(constB125, bitIndex0))))))),
% 8.09/6.09 inference(transitivity,[status(thm)],[18358, 18356])).
% 8.09/6.09 tff(18360,plain,
% 8.09/6.09 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB125) <=> (~(v90(constB125, bitIndex2) | (~v90(constB125, bitIndex0)) | (~v90(constB125, bitIndex1)))))),
% 8.09/6.09 inference(quant_inst,[status(thm)],[])).
% 8.09/6.09 tff(18361,plain,
% 8.09/6.09 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB125) <=> (~(v90(constB125, bitIndex2) | (~v90(constB125, bitIndex1)) | (~v90(constB125, bitIndex0)))))),
% 8.09/6.09 inference(modus_ponens,[status(thm)],[18360, 18359])).
% 8.09/6.09 tff(18362,plain,
% 8.09/6.09 (v122(constB125) <=> (~(v90(constB125, bitIndex2) | (~v90(constB125, bitIndex1)) | (~v90(constB125, bitIndex0))))),
% 8.09/6.09 inference(unit_resolution,[status(thm)],[18361, 879])).
% 8.09/6.09 tff(18363,plain,
% 8.09/6.09 ((v90(constB125, bitIndex2) | (~v90(constB125, bitIndex1)) | (~v90(constB125, bitIndex0))) | (~v90(constB125, bitIndex2))),
% 8.09/6.09 inference(tautology,[status(thm)],[])).
% 8.09/6.09 tff(18364,plain,
% 8.09/6.09 (v90(constB125, bitIndex2) | (~v90(constB125, bitIndex1)) | (~v90(constB125, bitIndex0))),
% 8.09/6.09 inference(unit_resolution,[status(thm)],[18363, 18311])).
% 8.09/6.09 tff(18365,plain,
% 8.09/6.09 ((~(v122(constB125) <=> (~(v90(constB125, bitIndex2) | (~v90(constB125, bitIndex1)) | (~v90(constB125, bitIndex0)))))) | (~v122(constB125)) | (~(v90(constB125, bitIndex2) | (~v90(constB125, bitIndex1)) | (~v90(constB125, bitIndex0))))),
% 8.09/6.09 inference(tautology,[status(thm)],[])).
% 8.09/6.09 tff(18366,plain,
% 8.09/6.09 (~v122(constB125)),
% 8.09/6.09 inference(unit_resolution,[status(thm)],[18365, 18364, 18362])).
% 8.09/6.09 tff(18367,plain,
% 8.09/6.09 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB125) <=> (~(v90(constB125, bitIndex2) | v90(constB125, bitIndex0) | (~v90(constB125, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB125) <=> (~(v90(constB125, bitIndex2) | v90(constB125, bitIndex0) | (~v90(constB125, bitIndex1))))))),
% 8.09/6.09 inference(rewrite,[status(thm)],[])).
% 8.09/6.09 tff(18368,plain,
% 8.09/6.09 ((v121(constB125) <=> (~(v90(constB125, bitIndex0) | v90(constB125, bitIndex2) | (~v90(constB125, bitIndex1))))) <=> (v121(constB125) <=> (~(v90(constB125, bitIndex2) | v90(constB125, bitIndex0) | (~v90(constB125, bitIndex1)))))),
% 8.09/6.09 inference(rewrite,[status(thm)],[])).
% 8.09/6.09 tff(18369,plain,
% 8.09/6.09 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB125) <=> (~(v90(constB125, bitIndex0) | v90(constB125, bitIndex2) | (~v90(constB125, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB125) <=> (~(v90(constB125, bitIndex2) | v90(constB125, bitIndex0) | (~v90(constB125, bitIndex1))))))),
% 8.09/6.09 inference(monotonicity,[status(thm)],[18368])).
% 8.09/6.09 tff(18370,plain,
% 8.09/6.09 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB125) <=> (~(v90(constB125, bitIndex0) | v90(constB125, bitIndex2) | (~v90(constB125, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB125) <=> (~(v90(constB125, bitIndex2) | v90(constB125, bitIndex0) | (~v90(constB125, bitIndex1))))))),
% 8.09/6.09 inference(transitivity,[status(thm)],[18369, 18367])).
% 8.09/6.09 tff(18371,plain,
% 8.09/6.09 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB125) <=> (~(v90(constB125, bitIndex0) | v90(constB125, bitIndex2) | (~v90(constB125, bitIndex1)))))),
% 8.09/6.09 inference(quant_inst,[status(thm)],[])).
% 8.09/6.09 tff(18372,plain,
% 8.09/6.09 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB125) <=> (~(v90(constB125, bitIndex2) | v90(constB125, bitIndex0) | (~v90(constB125, bitIndex1)))))),
% 8.09/6.09 inference(modus_ponens,[status(thm)],[18371, 18370])).
% 8.09/6.09 tff(18373,plain,
% 8.09/6.09 (v121(constB125) <=> (~(v90(constB125, bitIndex2) | v90(constB125, bitIndex0) | (~v90(constB125, bitIndex1))))),
% 8.09/6.09 inference(unit_resolution,[status(thm)],[18372, 586])).
% 8.09/6.09 tff(18374,plain,
% 8.09/6.09 ((v90(constB125, bitIndex2) | v90(constB125, bitIndex0) | (~v90(constB125, bitIndex1))) | (~v90(constB125, bitIndex2))),
% 8.09/6.09 inference(tautology,[status(thm)],[])).
% 8.09/6.09 tff(18375,plain,
% 8.09/6.09 (v90(constB125, bitIndex2) | v90(constB125, bitIndex0) | (~v90(constB125, bitIndex1))),
% 8.09/6.09 inference(unit_resolution,[status(thm)],[18374, 18311])).
% 8.09/6.09 tff(18376,plain,
% 8.09/6.09 ((~(v121(constB125) <=> (~(v90(constB125, bitIndex2) | v90(constB125, bitIndex0) | (~v90(constB125, bitIndex1)))))) | (~v121(constB125)) | (~(v90(constB125, bitIndex2) | v90(constB125, bitIndex0) | (~v90(constB125, bitIndex1))))),
% 8.09/6.09 inference(tautology,[status(thm)],[])).
% 8.09/6.09 tff(18377,plain,
% 8.09/6.09 (~v121(constB125)),
% 8.09/6.09 inference(unit_resolution,[status(thm)],[18376, 18375, 18373])).
% 8.09/6.09 tff(18378,plain,
% 8.09/6.09 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB125) <=> (~(v90(constB125, bitIndex1) | v90(constB125, bitIndex2) | (~v90(constB125, bitIndex0)))))),
% 8.09/6.09 inference(quant_inst,[status(thm)],[])).
% 8.09/6.09 tff(18379,plain,
% 8.09/6.09 (v120(constB125) <=> (~(v90(constB125, bitIndex1) | v90(constB125, bitIndex2) | (~v90(constB125, bitIndex0))))),
% 8.09/6.09 inference(unit_resolution,[status(thm)],[18378, 665])).
% 8.09/6.09 tff(18380,plain,
% 8.09/6.09 ((v90(constB125, bitIndex1) | v90(constB125, bitIndex2) | (~v90(constB125, bitIndex0))) | (~v90(constB125, bitIndex2))),
% 8.09/6.09 inference(tautology,[status(thm)],[])).
% 8.09/6.09 tff(18381,plain,
% 8.09/6.09 (v90(constB125, bitIndex1) | v90(constB125, bitIndex2) | (~v90(constB125, bitIndex0))),
% 8.09/6.09 inference(unit_resolution,[status(thm)],[18380, 18311])).
% 8.09/6.09 tff(18382,plain,
% 8.09/6.09 ((~(v120(constB125) <=> (~(v90(constB125, bitIndex1) | v90(constB125, bitIndex2) | (~v90(constB125, bitIndex0)))))) | (~v120(constB125)) | (~(v90(constB125, bitIndex1) | v90(constB125, bitIndex2) | (~v90(constB125, bitIndex0))))),
% 8.09/6.09 inference(tautology,[status(thm)],[])).
% 8.09/6.09 tff(18383,plain,
% 8.09/6.09 (~v120(constB125)),
% 8.09/6.09 inference(unit_resolution,[status(thm)],[18382, 18381, 18379])).
% 8.09/6.09 tff(18384,plain,
% 8.09/6.09 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v119(constB125) | v120(constB125) | v121(constB125) | v122(constB125) | v123(constB125) | v124(constB125) | (~(v130(constB125, bitIndex2) | v130(constB125, bitIndex1) | (~v130(constB125, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | v119(constB125) | v120(constB125) | v121(constB125) | v122(constB125) | v123(constB125) | v124(constB125) | (~(v130(constB125, bitIndex2) | v130(constB125, bitIndex1) | (~v130(constB125, bitIndex0)))))),
% 8.18/6.09 inference(rewrite,[status(thm)],[])).
% 8.18/6.09 tff(18385,plain,
% 8.18/6.09 ((v124(constB125) | v123(constB125) | v122(constB125) | v121(constB125) | v120(constB125) | v119(constB125) | (~(v130(constB125, bitIndex2) | v130(constB125, bitIndex1) | (~v130(constB125, bitIndex0))))) <=> (v119(constB125) | v120(constB125) | v121(constB125) | v122(constB125) | v123(constB125) | v124(constB125) | (~(v130(constB125, bitIndex2) | v130(constB125, bitIndex1) | (~v130(constB125, bitIndex0)))))),
% 8.18/6.09 inference(rewrite,[status(thm)],[])).
% 8.18/6.09 tff(18386,plain,
% 8.18/6.09 ((~(v130(constB125, bitIndex1) | v130(constB125, bitIndex2) | (~v130(constB125, bitIndex0)))) <=> (~(v130(constB125, bitIndex2) | v130(constB125, bitIndex1) | (~v130(constB125, bitIndex0))))),
% 8.18/6.09 inference(rewrite,[status(thm)],[])).
% 8.18/6.09 tff(18387,plain,
% 8.18/6.09 ((v124(constB125) | v123(constB125) | v122(constB125) | v121(constB125) | v120(constB125) | v119(constB125) | (~(v130(constB125, bitIndex1) | v130(constB125, bitIndex2) | (~v130(constB125, bitIndex0))))) <=> (v124(constB125) | v123(constB125) | v122(constB125) | v121(constB125) | v120(constB125) | v119(constB125) | (~(v130(constB125, bitIndex2) | v130(constB125, bitIndex1) | (~v130(constB125, bitIndex0)))))),
% 8.18/6.09 inference(monotonicity,[status(thm)],[18386])).
% 8.18/6.09 tff(18388,plain,
% 8.18/6.09 ((v124(constB125) | v123(constB125) | v122(constB125) | v121(constB125) | v120(constB125) | v119(constB125) | (~(v130(constB125, bitIndex1) | v130(constB125, bitIndex2) | (~v130(constB125, bitIndex0))))) <=> (v119(constB125) | v120(constB125) | v121(constB125) | v122(constB125) | v123(constB125) | v124(constB125) | (~(v130(constB125, bitIndex2) | v130(constB125, bitIndex1) | (~v130(constB125, bitIndex0)))))),
% 8.18/6.09 inference(transitivity,[status(thm)],[18387, 18385])).
% 8.18/6.09 tff(18389,plain,
% 8.18/6.09 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB125) | v123(constB125) | v122(constB125) | v121(constB125) | v120(constB125) | v119(constB125) | (~(v130(constB125, bitIndex1) | v130(constB125, bitIndex2) | (~v130(constB125, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v119(constB125) | v120(constB125) | v121(constB125) | v122(constB125) | v123(constB125) | v124(constB125) | (~(v130(constB125, bitIndex2) | v130(constB125, bitIndex1) | (~v130(constB125, bitIndex0))))))),
% 8.18/6.09 inference(monotonicity,[status(thm)],[18388])).
% 8.18/6.09 tff(18390,plain,
% 8.18/6.09 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB125) | v123(constB125) | v122(constB125) | v121(constB125) | v120(constB125) | v119(constB125) | (~(v130(constB125, bitIndex1) | v130(constB125, bitIndex2) | (~v130(constB125, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | v119(constB125) | v120(constB125) | v121(constB125) | v122(constB125) | v123(constB125) | v124(constB125) | (~(v130(constB125, bitIndex2) | v130(constB125, bitIndex1) | (~v130(constB125, bitIndex0)))))),
% 8.18/6.09 inference(transitivity,[status(thm)],[18389, 18384])).
% 8.18/6.09 tff(18391,plain,
% 8.18/6.09 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB125) | v123(constB125) | v122(constB125) | v121(constB125) | v120(constB125) | v119(constB125) | (~(v130(constB125, bitIndex1) | v130(constB125, bitIndex2) | (~v130(constB125, bitIndex0)))))),
% 8.18/6.09 inference(quant_inst,[status(thm)],[])).
% 8.18/6.09 tff(18392,plain,
% 8.18/6.09 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | v119(constB125) | v120(constB125) | v121(constB125) | v122(constB125) | v123(constB125) | v124(constB125) | (~(v130(constB125, bitIndex2) | v130(constB125, bitIndex1) | (~v130(constB125, bitIndex0))))),
% 8.18/6.09 inference(modus_ponens,[status(thm)],[18391, 18390])).
% 8.18/6.09 tff(18393,plain,
% 8.18/6.09 (v119(constB125) | v120(constB125) | v121(constB125) | v122(constB125) | v123(constB125) | v124(constB125) | (~(v130(constB125, bitIndex2) | v130(constB125, bitIndex1) | (~v130(constB125, bitIndex0))))),
% 8.18/6.09 inference(unit_resolution,[status(thm)],[18392, 3694])).
% 8.18/6.09 tff(18394,plain,
% 8.18/6.09 (~(v130(constB125, bitIndex2) | v130(constB125, bitIndex1) | (~v130(constB125, bitIndex0)))),
% 8.18/6.09 inference(unit_resolution,[status(thm)],[18393, 18383, 18377, 18366, 18355, 18344, 18315])).
% 8.18/6.09 tff(18395,plain,
% 8.18/6.09 ((v130(constB125, bitIndex2) | v130(constB125, bitIndex1) | (~v130(constB125, bitIndex0))) | (~v130(constB125, bitIndex2))),
% 8.18/6.09 inference(tautology,[status(thm)],[])).
% 8.18/6.09 tff(18396,plain,
% 8.18/6.09 (~v130(constB125, bitIndex2)),
% 8.18/6.09 inference(unit_resolution,[status(thm)],[18395, 18394])).
% 8.18/6.09 tff(18397,plain,
% 8.18/6.09 (((~v127(constB125, bitIndex2)) <=> v130(constB125, bitIndex2)) | (~v127(constB125, bitIndex2)) | v130(constB125, bitIndex2)),
% 8.18/6.09 inference(tautology,[status(thm)],[])).
% 8.18/6.09 tff(18398,plain,
% 8.18/6.09 (~v127(constB125, bitIndex2)),
% 8.18/6.09 inference(unit_resolution,[status(thm)],[18397, 18396, 17236])).
% 8.18/6.09 tff(18399,plain,
% 8.18/6.09 (((~v129(constB126, bitIndex2)) <=> v127(constB125, bitIndex2)) | (~v129(constB126, bitIndex2)) | v127(constB125, bitIndex2)),
% 8.18/6.09 inference(tautology,[status(thm)],[])).
% 8.18/6.09 tff(18400,plain,
% 8.18/6.09 (~v129(constB126, bitIndex2)),
% 8.18/6.09 inference(unit_resolution,[status(thm)],[18399, 18398, 17222])).
% 8.18/6.09 tff(18401,plain,
% 8.18/6.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB125, constB126)) | (v100(constB126) <=> (~((~v101(constB126)) | (~v110(constB126))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB125, constB126)) | (v100(constB126) <=> (~((~v101(constB126)) | (~v110(constB126))))))),
% 8.18/6.09 inference(rewrite,[status(thm)],[])).
% 8.18/6.09 tff(18402,plain,
% 8.18/6.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB125, constB126)) | (v100(constB126) <=> (~((~v101(constB126)) | (~v110(constB126))))))),
% 8.18/6.09 inference(quant_inst,[status(thm)],[])).
% 8.18/6.09 tff(18403,plain,
% 8.18/6.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB125, constB126)) | (v100(constB126) <=> (~((~v101(constB126)) | (~v110(constB126)))))),
% 8.18/6.09 inference(modus_ponens,[status(thm)],[18402, 18401])).
% 8.18/6.09 tff(18404,plain,
% 8.18/6.09 (v100(constB126) <=> (~((~v101(constB126)) | (~v110(constB126))))),
% 8.18/6.09 inference(unit_resolution,[status(thm)],[18403, 17216, 445])).
% 8.18/6.09 tff(18405,plain,
% 8.18/6.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB125, constB126)) | (v101(constB126) <=> (~((~v1(constB126)) | (~v102(constB126))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB125, constB126)) | (v101(constB126) <=> (~((~v1(constB126)) | (~v102(constB126))))))),
% 8.18/6.09 inference(rewrite,[status(thm)],[])).
% 8.18/6.09 tff(18406,plain,
% 8.18/6.09 (((~nextState(constB125, constB126)) | (v101(constB126) <=> (~((~v102(constB126)) | (~v1(constB126)))))) <=> ((~nextState(constB125, constB126)) | (v101(constB126) <=> (~((~v1(constB126)) | (~v102(constB126))))))),
% 8.18/6.09 inference(rewrite,[status(thm)],[])).
% 8.18/6.09 tff(18407,plain,
% 8.18/6.09 (((~![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) <=> (~((~v1(constB126)) | (~v102(constB126)))))))),
% 8.18/6.09 inference(monotonicity,[status(thm)],[18406])).
% 8.18/6.09 tff(18408,plain,
% 8.18/6.09 (((~![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) <=> (~((~v1(constB126)) | (~v102(constB126))))))),
% 8.18/6.09 inference(transitivity,[status(thm)],[18407, 18405])).
% 8.18/6.09 tff(18409,plain,
% 8.18/6.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB125, constB126)) | (v101(constB126) <=> (~((~v102(constB126)) | (~v1(constB126))))))),
% 8.18/6.09 inference(quant_inst,[status(thm)],[])).
% 8.18/6.09 tff(18410,plain,
% 8.18/6.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB125, constB126)) | (v101(constB126) <=> (~((~v1(constB126)) | (~v102(constB126)))))),
% 8.18/6.09 inference(modus_ponens,[status(thm)],[18409, 18408])).
% 8.18/6.09 tff(18411,plain,
% 8.18/6.09 (v101(constB126) <=> (~((~v1(constB126)) | (~v102(constB126))))),
% 8.18/6.09 inference(unit_resolution,[status(thm)],[18410, 17216, 465])).
% 8.18/6.09 tff(18412,plain,
% 8.18/6.09 (((~![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)))),
% 8.18/6.09 inference(rewrite,[status(thm)],[])).
% 8.18/6.09 tff(18413,plain,
% 8.18/6.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB125, constB126)) | ((~v102(constB126)) <=> v104(constB126)))),
% 8.18/6.09 inference(quant_inst,[status(thm)],[])).
% 8.18/6.09 tff(18414,plain,
% 8.18/6.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB125, constB126)) | ((~v102(constB126)) <=> v104(constB126))),
% 8.18/6.09 inference(modus_ponens,[status(thm)],[18413, 18412])).
% 8.18/6.09 tff(18415,plain,
% 8.18/6.09 ((~v102(constB126)) <=> v104(constB126)),
% 8.18/6.09 inference(unit_resolution,[status(thm)],[18414, 17216, 3244])).
% 8.18/6.09 tff(18416,plain,
% 8.18/6.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB125, constB126)) | (v104(constB126) <=> v1(constB125)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB125, constB126)) | (v104(constB126) <=> v1(constB125)))),
% 8.18/6.09 inference(rewrite,[status(thm)],[])).
% 8.18/6.09 tff(18417,plain,
% 8.18/6.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB125, constB126)) | (v104(constB126) <=> v1(constB125)))),
% 8.18/6.09 inference(quant_inst,[status(thm)],[])).
% 8.18/6.09 tff(18418,plain,
% 8.18/6.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB125, constB126)) | (v104(constB126) <=> v1(constB125))),
% 8.18/6.10 inference(modus_ponens,[status(thm)],[18417, 18416])).
% 8.18/6.10 tff(18419,plain,
% 8.18/6.10 (v104(constB126) <=> v1(constB125)),
% 8.18/6.10 inference(unit_resolution,[status(thm)],[18418, 17216, 3258])).
% 8.18/6.10 tff(18420,plain,
% 8.18/6.10 ((~(v104(constB126) <=> v1(constB125))) | (~v104(constB126)) | v1(constB125)),
% 8.18/6.10 inference(tautology,[status(thm)],[])).
% 8.18/6.10 tff(18421,plain,
% 8.18/6.10 ((~(v104(constB126) <=> v1(constB125))) | (~v104(constB126))),
% 8.18/6.10 inference(unit_resolution,[status(thm)],[18420, 17255])).
% 8.18/6.10 tff(18422,plain,
% 8.18/6.10 (~v104(constB126)),
% 8.18/6.10 inference(unit_resolution,[status(thm)],[18421, 18419])).
% 8.18/6.10 tff(18423,plain,
% 8.18/6.10 ((~((~v102(constB126)) <=> v104(constB126))) | v102(constB126) | v104(constB126)),
% 8.18/6.10 inference(tautology,[status(thm)],[])).
% 8.18/6.10 tff(18424,plain,
% 8.18/6.10 (v102(constB126)),
% 8.18/6.10 inference(unit_resolution,[status(thm)],[18423, 18422, 18415])).
% 8.18/6.10 tff(18425,plain,
% 8.18/6.10 (v1(constB126) <=> v1(constB126)),
% 8.18/6.10 inference(rewrite,[status(thm)],[])).
% 8.18/6.10 tff(18426,axiom,(v1(constB126)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_126')).
% 8.18/6.10 tff(18427,plain,
% 8.18/6.10 (v1(constB126)),
% 8.18/6.10 inference(modus_ponens,[status(thm)],[18426, 18425])).
% 8.18/6.10 tff(18428,plain,
% 8.18/6.10 ((~((~v1(constB126)) | (~v102(constB126)))) | (~v1(constB126)) | (~v102(constB126))),
% 8.18/6.10 inference(tautology,[status(thm)],[])).
% 8.18/6.10 tff(18429,plain,
% 8.18/6.10 ((~((~v1(constB126)) | (~v102(constB126)))) | (~v102(constB126))),
% 8.18/6.10 inference(unit_resolution,[status(thm)],[18428, 18427])).
% 8.18/6.10 tff(18430,plain,
% 8.18/6.10 (~((~v1(constB126)) | (~v102(constB126)))),
% 8.18/6.10 inference(unit_resolution,[status(thm)],[18429, 18424])).
% 8.18/6.10 tff(18431,plain,
% 8.18/6.10 ((~(v101(constB126) <=> (~((~v1(constB126)) | (~v102(constB126)))))) | v101(constB126) | ((~v1(constB126)) | (~v102(constB126)))),
% 8.18/6.10 inference(tautology,[status(thm)],[])).
% 8.18/6.10 tff(18432,plain,
% 8.18/6.10 (v101(constB126)),
% 8.18/6.10 inference(unit_resolution,[status(thm)],[18431, 18430, 18411])).
% 8.18/6.10 tff(18433,plain,
% 8.18/6.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB125, constB126)) | (v110(constB126) <=> v108(constB125)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB125, constB126)) | (v110(constB126) <=> v108(constB125)))),
% 8.18/6.10 inference(rewrite,[status(thm)],[])).
% 8.18/6.10 tff(18434,plain,
% 8.18/6.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB125, constB126)) | (v110(constB126) <=> v108(constB125)))),
% 8.18/6.10 inference(quant_inst,[status(thm)],[])).
% 8.18/6.10 tff(18435,plain,
% 8.18/6.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB125, constB126)) | (v110(constB126) <=> v108(constB125))),
% 8.18/6.10 inference(modus_ponens,[status(thm)],[18434, 18433])).
% 8.18/6.10 tff(18436,plain,
% 8.18/6.10 (v110(constB126) <=> v108(constB125)),
% 8.18/6.10 inference(unit_resolution,[status(thm)],[18435, 17216, 3285])).
% 8.18/6.10 tff(18437,plain,
% 8.18/6.10 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB125) <=> (v111(constB125) | v112(constB125)))),
% 8.18/6.10 inference(quant_inst,[status(thm)],[])).
% 8.18/6.10 tff(18438,plain,
% 8.18/6.10 (v108(constB125) <=> (v111(constB125) | v112(constB125))),
% 8.18/6.10 inference(unit_resolution,[status(thm)],[18437, 3296])).
% 8.18/6.10 tff(18439,plain,
% 8.18/6.10 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB125) <=> (~((~v113(constB125)) | (~v126(constB125)))))),
% 8.18/6.10 inference(quant_inst,[status(thm)],[])).
% 8.18/6.10 tff(18440,plain,
% 8.18/6.10 (v112(constB125) <=> (~((~v113(constB125)) | (~v126(constB125))))),
% 8.18/6.10 inference(unit_resolution,[status(thm)],[18439, 3308])).
% 8.18/6.10 tff(18441,plain,
% 8.18/6.10 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB125) <=> (v114(constB125) | v125(constB125)))),
% 8.18/6.10 inference(quant_inst,[status(thm)],[])).
% 8.18/6.10 tff(18442,plain,
% 8.18/6.10 (v113(constB125) <=> (v114(constB125) | v125(constB125))),
% 8.18/6.10 inference(unit_resolution,[status(thm)],[18441, 3317])).
% 8.18/6.10 tff(18443,plain,
% 8.18/6.10 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB125) <=> (~(v90(constB125, bitIndex0) | (~v90(constB125, bitIndex1)) | (~v90(constB125, bitIndex2)))))),
% 8.18/6.10 inference(quant_inst,[status(thm)],[])).
% 8.18/6.10 tff(18444,plain,
% 8.18/6.10 (v125(constB125) <=> (~(v90(constB125, bitIndex0) | (~v90(constB125, bitIndex1)) | (~v90(constB125, bitIndex2))))),
% 8.18/6.10 inference(unit_resolution,[status(thm)],[18443, 3766])).
% 8.18/6.10 tff(18445,plain,
% 8.18/6.10 ((((~v90(constB125, bitIndex1)) <=> v90(constB124, bitIndex1)) | ((~v90(constB125, bitIndex2)) <=> v90(constB124, bitIndex2)) | ((~v90(constB125, bitIndex0)) <=> v90(constB124, bitIndex0))) | (~((~v90(constB125, bitIndex0)) <=> v90(constB124, bitIndex0)))),
% 8.18/6.10 inference(tautology,[status(thm)],[])).
% 8.18/6.10 tff(18446,plain,
% 8.18/6.10 (~((~v90(constB125, bitIndex0)) <=> v90(constB124, bitIndex0))),
% 8.18/6.10 inference(unit_resolution,[status(thm)],[18445, 17272])).
% 8.18/6.10 tff(18447,plain,
% 8.18/6.10 ((((~v129(constB124, bitIndex2)) <=> v127(constB123, bitIndex2)) | ((~v129(constB124, bitIndex1)) <=> v127(constB123, bitIndex1)) | ((~v129(constB124, bitIndex0)) <=> v127(constB123, bitIndex0))) | (~((~v129(constB124, bitIndex0)) <=> v127(constB123, bitIndex0)))),
% 8.18/6.10 inference(tautology,[status(thm)],[])).
% 8.18/6.10 tff(18448,plain,
% 8.18/6.10 (~((~v129(constB124, bitIndex0)) <=> v127(constB123, bitIndex0))),
% 8.18/6.10 inference(unit_resolution,[status(thm)],[18447, 17281])).
% 8.18/6.10 tff(18449,plain,
% 8.18/6.10 ((((~v127(constB123, bitIndex2)) <=> v130(constB123, bitIndex2)) | ((~v127(constB123, bitIndex1)) <=> v130(constB123, bitIndex1)) | ((~v127(constB123, bitIndex0)) <=> v130(constB123, bitIndex0))) | (~((~v127(constB123, bitIndex0)) <=> v130(constB123, bitIndex0)))),
% 8.18/6.10 inference(tautology,[status(thm)],[])).
% 8.18/6.10 tff(18450,plain,
% 8.18/6.10 (~((~v127(constB123, bitIndex0)) <=> v130(constB123, bitIndex0))),
% 8.18/6.10 inference(unit_resolution,[status(thm)],[18449, 17295])).
% 8.18/6.10 tff(18451,plain,
% 8.18/6.10 ((v130(constB123, bitIndex0) | (~v130(constB123, bitIndex2)) | (~v130(constB123, bitIndex1))) | (~v130(constB123, bitIndex0))),
% 8.18/6.10 inference(tautology,[status(thm)],[])).
% 8.18/6.10 tff(18452,plain,
% 8.18/6.10 (~v130(constB123, bitIndex0)),
% 8.18/6.10 inference(unit_resolution,[status(thm)],[18451, 18216])).
% 8.18/6.10 tff(18453,plain,
% 8.18/6.10 (((~v127(constB123, bitIndex0)) <=> v130(constB123, bitIndex0)) | (~v127(constB123, bitIndex0)) | v130(constB123, bitIndex0)),
% 8.18/6.10 inference(tautology,[status(thm)],[])).
% 8.18/6.10 tff(18454,plain,
% 8.18/6.10 (~v127(constB123, bitIndex0)),
% 8.18/6.10 inference(unit_resolution,[status(thm)],[18453, 18452, 18450])).
% 8.18/6.10 tff(18455,plain,
% 8.18/6.10 (((~v129(constB124, bitIndex0)) <=> v127(constB123, bitIndex0)) | (~v129(constB124, bitIndex0)) | v127(constB123, bitIndex0)),
% 8.18/6.10 inference(tautology,[status(thm)],[])).
% 8.18/6.10 tff(18456,plain,
% 8.18/6.10 (~v129(constB124, bitIndex0)),
% 8.18/6.10 inference(unit_resolution,[status(thm)],[18455, 18454, 18448])).
% 8.18/6.10 tff(18457,plain,
% 8.18/6.10 ((((~v90(constB124, bitIndex2)) <=> v129(constB124, bitIndex2)) | ((~v90(constB124, bitIndex1)) <=> v129(constB124, bitIndex1)) | ((~v90(constB124, bitIndex0)) <=> v129(constB124, bitIndex0))) | (~((~v90(constB124, bitIndex0)) <=> v129(constB124, bitIndex0)))),
% 8.18/6.10 inference(tautology,[status(thm)],[])).
% 8.18/6.10 tff(18458,plain,
% 8.18/6.10 (~((~v90(constB124, bitIndex0)) <=> v129(constB124, bitIndex0))),
% 8.18/6.10 inference(unit_resolution,[status(thm)],[18457, 18305])).
% 8.18/6.10 tff(18459,plain,
% 8.18/6.10 (((~v90(constB124, bitIndex0)) <=> v129(constB124, bitIndex0)) | (~v90(constB124, bitIndex0)) | v129(constB124, bitIndex0)),
% 8.18/6.10 inference(tautology,[status(thm)],[])).
% 8.18/6.10 tff(18460,plain,
% 8.18/6.10 (~v90(constB124, bitIndex0)),
% 8.18/6.10 inference(unit_resolution,[status(thm)],[18459, 18458, 18456])).
% 8.18/6.10 tff(18461,plain,
% 8.18/6.10 (((~v90(constB125, bitIndex0)) <=> v90(constB124, bitIndex0)) | (~v90(constB125, bitIndex0)) | v90(constB124, bitIndex0)),
% 8.18/6.10 inference(tautology,[status(thm)],[])).
% 8.18/6.10 tff(18462,plain,
% 8.18/6.10 (~v90(constB125, bitIndex0)),
% 8.18/6.10 inference(unit_resolution,[status(thm)],[18461, 18460, 18446])).
% 8.18/6.10 tff(18463,plain,
% 8.18/6.10 ((~(v90(constB125, bitIndex0) | (~v90(constB125, bitIndex1)) | (~v90(constB125, bitIndex2)))) | v90(constB125, bitIndex0) | (~v90(constB125, bitIndex1)) | (~v90(constB125, bitIndex2))),
% 8.18/6.10 inference(tautology,[status(thm)],[])).
% 8.18/6.10 tff(18464,plain,
% 8.18/6.10 (~(v90(constB125, bitIndex0) | (~v90(constB125, bitIndex1)) | (~v90(constB125, bitIndex2)))),
% 8.18/6.10 inference(unit_resolution,[status(thm)],[18463, 18340, 18462, 18311])).
% 8.18/6.10 tff(18465,plain,
% 8.18/6.10 ((~(v125(constB125) <=> (~(v90(constB125, bitIndex0) | (~v90(constB125, bitIndex1)) | (~v90(constB125, bitIndex2)))))) | v125(constB125) | (v90(constB125, bitIndex0) | (~v90(constB125, bitIndex1)) | (~v90(constB125, bitIndex2)))),
% 8.18/6.10 inference(tautology,[status(thm)],[])).
% 8.18/6.10 tff(18466,plain,
% 8.18/6.10 (v125(constB125)),
% 8.18/6.10 inference(unit_resolution,[status(thm)],[18465, 18464, 18444])).
% 8.18/6.10 tff(18467,plain,
% 8.18/6.10 ((v114(constB125) | v125(constB125)) | (~v125(constB125))),
% 8.18/6.10 inference(tautology,[status(thm)],[])).
% 8.18/6.10 tff(18468,plain,
% 8.18/6.10 (v114(constB125) | v125(constB125)),
% 8.18/6.10 inference(unit_resolution,[status(thm)],[18467, 18466])).
% 8.18/6.10 tff(18469,plain,
% 8.18/6.10 ((~(v113(constB125) <=> (v114(constB125) | v125(constB125)))) | v113(constB125) | (~(v114(constB125) | v125(constB125)))),
% 8.18/6.10 inference(tautology,[status(thm)],[])).
% 8.18/6.10 tff(18470,plain,
% 8.18/6.10 (v113(constB125)),
% 8.18/6.10 inference(unit_resolution,[status(thm)],[18469, 18468, 18442])).
% 8.18/6.10 tff(18471,plain,
% 8.18/6.10 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB125)) <=> v111(constB125))),
% 8.18/6.10 inference(quant_inst,[status(thm)],[])).
% 8.18/6.10 tff(18472,plain,
% 8.18/6.10 ((~v126(constB125)) <=> v111(constB125)),
% 8.18/6.10 inference(unit_resolution,[status(thm)],[18471, 3396])).
% 8.18/6.10 tff(18473,plain,
% 8.18/6.10 ((~((~v126(constB125)) <=> v111(constB125))) | v126(constB125) | v111(constB125)),
% 8.18/6.10 inference(tautology,[status(thm)],[])).
% 8.18/6.10 tff(18474,plain,
% 8.18/6.10 ((~((~v126(constB125)) <=> v111(constB125))) | v126(constB125)),
% 8.18/6.10 inference(unit_resolution,[status(thm)],[18473, 17229])).
% 8.18/6.10 tff(18475,plain,
% 8.18/6.10 (v126(constB125)),
% 8.18/6.10 inference(unit_resolution,[status(thm)],[18474, 18472])).
% 8.18/6.10 tff(18476,plain,
% 8.18/6.10 ((~((~v113(constB125)) | (~v126(constB125)))) | (~v113(constB125)) | (~v126(constB125))),
% 8.18/6.10 inference(tautology,[status(thm)],[])).
% 8.18/6.10 tff(18477,plain,
% 8.18/6.10 ((~((~v113(constB125)) | (~v126(constB125)))) | (~v113(constB125))),
% 8.18/6.10 inference(unit_resolution,[status(thm)],[18476, 18475])).
% 8.18/6.10 tff(18478,plain,
% 8.18/6.10 (~((~v113(constB125)) | (~v126(constB125)))),
% 8.18/6.10 inference(unit_resolution,[status(thm)],[18477, 18470])).
% 8.18/6.10 tff(18479,plain,
% 8.18/6.10 ((~(v112(constB125) <=> (~((~v113(constB125)) | (~v126(constB125)))))) | v112(constB125) | ((~v113(constB125)) | (~v126(constB125)))),
% 8.18/6.10 inference(tautology,[status(thm)],[])).
% 8.18/6.10 tff(18480,plain,
% 8.18/6.10 (v112(constB125)),
% 8.18/6.10 inference(unit_resolution,[status(thm)],[18479, 18478, 18440])).
% 8.18/6.10 tff(18481,plain,
% 8.18/6.10 ((v111(constB125) | v112(constB125)) | (~v112(constB125))),
% 8.18/6.10 inference(tautology,[status(thm)],[])).
% 8.18/6.10 tff(18482,plain,
% 8.18/6.10 (v111(constB125) | v112(constB125)),
% 8.18/6.10 inference(unit_resolution,[status(thm)],[18481, 18480])).
% 8.18/6.10 tff(18483,plain,
% 8.18/6.10 ((~(v108(constB125) <=> (v111(constB125) | v112(constB125)))) | v108(constB125) | (~(v111(constB125) | v112(constB125)))),
% 8.18/6.10 inference(tautology,[status(thm)],[])).
% 8.18/6.10 tff(18484,plain,
% 8.18/6.10 (v108(constB125)),
% 8.18/6.10 inference(unit_resolution,[status(thm)],[18483, 18482, 18438])).
% 8.18/6.10 tff(18485,plain,
% 8.18/6.10 ((~(v110(constB126) <=> v108(constB125))) | v110(constB126) | (~v108(constB125))),
% 8.18/6.10 inference(tautology,[status(thm)],[])).
% 8.18/6.10 tff(18486,plain,
% 8.18/6.10 (v110(constB126)),
% 8.18/6.10 inference(unit_resolution,[status(thm)],[18485, 18484, 18436])).
% 8.18/6.10 tff(18487,plain,
% 8.18/6.10 ((~((~v101(constB126)) | (~v110(constB126)))) | (~v101(constB126)) | (~v110(constB126))),
% 8.18/6.10 inference(tautology,[status(thm)],[])).
% 8.18/6.10 tff(18488,plain,
% 8.18/6.10 (~((~v101(constB126)) | (~v110(constB126)))),
% 8.18/6.10 inference(unit_resolution,[status(thm)],[18487, 18486, 18432])).
% 8.18/6.10 tff(18489,plain,
% 8.18/6.10 ((~(v100(constB126) <=> (~((~v101(constB126)) | (~v110(constB126)))))) | v100(constB126) | ((~v101(constB126)) | (~v110(constB126)))),
% 8.18/6.10 inference(tautology,[status(thm)],[])).
% 8.18/6.10 tff(18490,plain,
% 8.18/6.10 (v100(constB126)),
% 8.18/6.10 inference(unit_resolution,[status(thm)],[18489, 18488, 18404])).
% 8.18/6.10 tff(18491,plain,
% 8.18/6.10 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB126)) | (~(((~v90(constB126, bitIndex0)) <=> v129(constB126, bitIndex0)) | ((~v90(constB126, bitIndex2)) <=> v129(constB126, bitIndex2)) | ((~v90(constB126, bitIndex1)) <=> v129(constB126, bitIndex1)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB126)) | (~(((~v90(constB126, bitIndex0)) <=> v129(constB126, bitIndex0)) | ((~v90(constB126, bitIndex2)) <=> v129(constB126, bitIndex2)) | ((~v90(constB126, bitIndex1)) <=> v129(constB126, bitIndex1)))))),
% 8.18/6.10 inference(rewrite,[status(thm)],[])).
% 8.18/6.10 tff(18492,plain,
% 8.18/6.10 (((~v100(constB126)) | (~(((~v90(constB126, bitIndex2)) <=> v129(constB126, bitIndex2)) | ((~v90(constB126, bitIndex1)) <=> v129(constB126, bitIndex1)) | ((~v90(constB126, bitIndex0)) <=> v129(constB126, bitIndex0))))) <=> ((~v100(constB126)) | (~(((~v90(constB126, bitIndex0)) <=> v129(constB126, bitIndex0)) | ((~v90(constB126, bitIndex2)) <=> v129(constB126, bitIndex2)) | ((~v90(constB126, bitIndex1)) <=> v129(constB126, bitIndex1)))))),
% 8.18/6.10 inference(rewrite,[status(thm)],[])).
% 8.18/6.10 tff(18493,plain,
% 8.18/6.10 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB126)) | (~(((~v90(constB126, bitIndex2)) <=> v129(constB126, bitIndex2)) | ((~v90(constB126, bitIndex1)) <=> v129(constB126, bitIndex1)) | ((~v90(constB126, bitIndex0)) <=> v129(constB126, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB126)) | (~(((~v90(constB126, bitIndex0)) <=> v129(constB126, bitIndex0)) | ((~v90(constB126, bitIndex2)) <=> v129(constB126, bitIndex2)) | ((~v90(constB126, bitIndex1)) <=> v129(constB126, bitIndex1))))))),
% 8.18/6.10 inference(monotonicity,[status(thm)],[18492])).
% 8.18/6.10 tff(18494,plain,
% 8.18/6.10 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB126)) | (~(((~v90(constB126, bitIndex2)) <=> v129(constB126, bitIndex2)) | ((~v90(constB126, bitIndex1)) <=> v129(constB126, bitIndex1)) | ((~v90(constB126, bitIndex0)) <=> v129(constB126, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB126)) | (~(((~v90(constB126, bitIndex0)) <=> v129(constB126, bitIndex0)) | ((~v90(constB126, bitIndex2)) <=> v129(constB126, bitIndex2)) | ((~v90(constB126, bitIndex1)) <=> v129(constB126, bitIndex1)))))),
% 8.18/6.10 inference(transitivity,[status(thm)],[18493, 18491])).
% 8.18/6.10 tff(18495,plain,
% 8.18/6.10 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB126)) | (~(((~v90(constB126, bitIndex2)) <=> v129(constB126, bitIndex2)) | ((~v90(constB126, bitIndex1)) <=> v129(constB126, bitIndex1)) | ((~v90(constB126, bitIndex0)) <=> v129(constB126, bitIndex0)))))),
% 8.18/6.10 inference(quant_inst,[status(thm)],[])).
% 8.18/6.10 tff(18496,plain,
% 8.18/6.10 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB126)) | (~(((~v90(constB126, bitIndex0)) <=> v129(constB126, bitIndex0)) | ((~v90(constB126, bitIndex2)) <=> v129(constB126, bitIndex2)) | ((~v90(constB126, bitIndex1)) <=> v129(constB126, bitIndex1))))),
% 8.18/6.10 inference(modus_ponens,[status(thm)],[18495, 18494])).
% 8.18/6.10 tff(18497,plain,
% 8.18/6.10 ((~v100(constB126)) | (~(((~v90(constB126, bitIndex0)) <=> v129(constB126, bitIndex0)) | ((~v90(constB126, bitIndex2)) <=> v129(constB126, bitIndex2)) | ((~v90(constB126, bitIndex1)) <=> v129(constB126, bitIndex1))))),
% 8.18/6.10 inference(unit_resolution,[status(thm)],[18496, 3429])).
% 8.18/6.10 tff(18498,plain,
% 8.18/6.10 (~(((~v90(constB126, bitIndex0)) <=> v129(constB126, bitIndex0)) | ((~v90(constB126, bitIndex2)) <=> v129(constB126, bitIndex2)) | ((~v90(constB126, bitIndex1)) <=> v129(constB126, bitIndex1)))),
% 8.18/6.10 inference(unit_resolution,[status(thm)],[18497, 18490])).
% 8.18/6.10 tff(18499,plain,
% 8.18/6.10 ((((~v90(constB126, bitIndex0)) <=> v129(constB126, bitIndex0)) | ((~v90(constB126, bitIndex2)) <=> v129(constB126, bitIndex2)) | ((~v90(constB126, bitIndex1)) <=> v129(constB126, bitIndex1))) | (~((~v90(constB126, bitIndex2)) <=> v129(constB126, bitIndex2)))),
% 8.18/6.10 inference(tautology,[status(thm)],[])).
% 8.18/6.10 tff(18500,plain,
% 8.18/6.10 (~((~v90(constB126, bitIndex2)) <=> v129(constB126, bitIndex2))),
% 8.18/6.10 inference(unit_resolution,[status(thm)],[18499, 18498])).
% 8.18/6.10 tff(18501,plain,
% 8.18/6.10 (((~v90(constB126, bitIndex2)) <=> v129(constB126, bitIndex2)) | (~v90(constB126, bitIndex2)) | v129(constB126, bitIndex2)),
% 8.18/6.10 inference(tautology,[status(thm)],[])).
% 8.18/6.10 tff(18502,plain,
% 8.18/6.10 (~v90(constB126, bitIndex2)),
% 8.18/6.10 inference(unit_resolution,[status(thm)],[18501, 18500, 18400])).
% 8.18/6.10 tff(18503,plain,
% 8.18/6.10 (((~v90(constB127, bitIndex2)) <=> v90(constB126, bitIndex2)) | (~v90(constB127, bitIndex2)) | v90(constB126, bitIndex2)),
% 8.18/6.10 inference(tautology,[status(thm)],[])).
% 8.18/6.10 tff(18504,plain,
% 8.18/6.10 (~v90(constB127, bitIndex2)),
% 8.18/6.10 inference(unit_resolution,[status(thm)],[18503, 18502, 17213])).
% 8.18/6.10 tff(18505,plain,
% 8.18/6.10 ((((~v90(constB127, bitIndex1)) <=> v90(constB126, bitIndex1)) | ((~v90(constB127, bitIndex2)) <=> v90(constB126, bitIndex2)) | ((~v90(constB127, bitIndex0)) <=> v90(constB126, bitIndex0))) | (~((~v90(constB127, bitIndex0)) <=> v90(constB126, bitIndex0)))),
% 8.18/6.10 inference(tautology,[status(thm)],[])).
% 8.18/6.10 tff(18506,plain,
% 8.18/6.10 (~((~v90(constB127, bitIndex0)) <=> v90(constB126, bitIndex0))),
% 8.18/6.10 inference(unit_resolution,[status(thm)],[18505, 17211])).
% 8.18/6.10 tff(18507,plain,
% 8.18/6.10 ((((~v129(constB126, bitIndex2)) <=> v127(constB125, bitIndex2)) | ((~v129(constB126, bitIndex1)) <=> v127(constB125, bitIndex1)) | ((~v129(constB126, bitIndex0)) <=> v127(constB125, bitIndex0))) | (~((~v129(constB126, bitIndex0)) <=> v127(constB125, bitIndex0)))),
% 8.18/6.10 inference(tautology,[status(thm)],[])).
% 8.18/6.10 tff(18508,plain,
% 8.18/6.10 (~((~v129(constB126, bitIndex0)) <=> v127(constB125, bitIndex0))),
% 8.18/6.10 inference(unit_resolution,[status(thm)],[18507, 17220])).
% 8.18/6.10 tff(18509,plain,
% 8.18/6.10 ((((~v127(constB125, bitIndex2)) <=> v130(constB125, bitIndex2)) | ((~v127(constB125, bitIndex1)) <=> v130(constB125, bitIndex1)) | ((~v127(constB125, bitIndex0)) <=> v130(constB125, bitIndex0))) | (~((~v127(constB125, bitIndex0)) <=> v130(constB125, bitIndex0)))),
% 8.18/6.10 inference(tautology,[status(thm)],[])).
% 8.18/6.10 tff(18510,plain,
% 8.18/6.10 (~((~v127(constB125, bitIndex0)) <=> v130(constB125, bitIndex0))),
% 8.18/6.10 inference(unit_resolution,[status(thm)],[18509, 17234])).
% 8.18/6.10 tff(18511,plain,
% 8.18/6.10 ((v130(constB125, bitIndex2) | v130(constB125, bitIndex1) | (~v130(constB125, bitIndex0))) | v130(constB125, bitIndex0)),
% 8.18/6.10 inference(tautology,[status(thm)],[])).
% 8.18/6.10 tff(18512,plain,
% 8.18/6.10 (v130(constB125, bitIndex0)),
% 8.18/6.10 inference(unit_resolution,[status(thm)],[18511, 18394])).
% 8.18/6.10 tff(18513,plain,
% 8.18/6.10 (((~v127(constB125, bitIndex0)) <=> v130(constB125, bitIndex0)) | v127(constB125, bitIndex0) | (~v130(constB125, bitIndex0))),
% 8.18/6.10 inference(tautology,[status(thm)],[])).
% 8.18/6.10 tff(18514,plain,
% 8.18/6.10 (v127(constB125, bitIndex0)),
% 8.18/6.10 inference(unit_resolution,[status(thm)],[18513, 18512, 18510])).
% 8.18/6.10 tff(18515,plain,
% 8.18/6.10 (((~v129(constB126, bitIndex0)) <=> v127(constB125, bitIndex0)) | v129(constB126, bitIndex0) | (~v127(constB125, bitIndex0))),
% 8.18/6.10 inference(tautology,[status(thm)],[])).
% 8.18/6.10 tff(18516,plain,
% 8.18/6.10 (v129(constB126, bitIndex0)),
% 8.18/6.10 inference(unit_resolution,[status(thm)],[18515, 18514, 18508])).
% 8.18/6.10 tff(18517,plain,
% 8.18/6.10 ((((~v90(constB126, bitIndex0)) <=> v129(constB126, bitIndex0)) | ((~v90(constB126, bitIndex2)) <=> v129(constB126, bitIndex2)) | ((~v90(constB126, bitIndex1)) <=> v129(constB126, bitIndex1))) | (~((~v90(constB126, bitIndex0)) <=> v129(constB126, bitIndex0)))),
% 8.18/6.10 inference(tautology,[status(thm)],[])).
% 8.18/6.10 tff(18518,plain,
% 8.18/6.10 (~((~v90(constB126, bitIndex0)) <=> v129(constB126, bitIndex0))),
% 8.18/6.10 inference(unit_resolution,[status(thm)],[18517, 18498])).
% 8.18/6.10 tff(18519,plain,
% 8.18/6.10 (((~v90(constB126, bitIndex0)) <=> v129(constB126, bitIndex0)) | v90(constB126, bitIndex0) | (~v129(constB126, bitIndex0))),
% 8.18/6.10 inference(tautology,[status(thm)],[])).
% 8.18/6.10 tff(18520,plain,
% 8.18/6.10 (v90(constB126, bitIndex0)),
% 8.18/6.10 inference(unit_resolution,[status(thm)],[18519, 18518, 18516])).
% 8.18/6.10 tff(18521,plain,
% 8.18/6.10 (((~v90(constB127, bitIndex0)) <=> v90(constB126, bitIndex0)) | v90(constB127, bitIndex0) | (~v90(constB126, bitIndex0))),
% 8.18/6.10 inference(tautology,[status(thm)],[])).
% 8.18/6.10 tff(18522,plain,
% 8.18/6.10 (v90(constB127, bitIndex0)),
% 8.18/6.10 inference(unit_resolution,[status(thm)],[18521, 18520, 18506])).
% 8.18/6.10 tff(18523,plain,
% 8.18/6.10 ((((~v90(constB127, bitIndex1)) <=> v90(constB126, bitIndex1)) | ((~v90(constB127, bitIndex2)) <=> v90(constB126, bitIndex2)) | ((~v90(constB127, bitIndex0)) <=> v90(constB126, bitIndex0))) | (~((~v90(constB127, bitIndex1)) <=> v90(constB126, bitIndex1)))),
% 8.18/6.10 inference(tautology,[status(thm)],[])).
% 8.18/6.10 tff(18524,plain,
% 8.18/6.10 (~((~v90(constB127, bitIndex1)) <=> v90(constB126, bitIndex1))),
% 8.18/6.10 inference(unit_resolution,[status(thm)],[18523, 17211])).
% 8.18/6.10 tff(18525,plain,
% 8.18/6.10 ((((~v129(constB126, bitIndex2)) <=> v127(constB125, bitIndex2)) | ((~v129(constB126, bitIndex1)) <=> v127(constB125, bitIndex1)) | ((~v129(constB126, bitIndex0)) <=> v127(constB125, bitIndex0))) | (~((~v129(constB126, bitIndex1)) <=> v127(constB125, bitIndex1)))),
% 8.18/6.10 inference(tautology,[status(thm)],[])).
% 8.18/6.10 tff(18526,plain,
% 8.18/6.10 (~((~v129(constB126, bitIndex1)) <=> v127(constB125, bitIndex1))),
% 8.18/6.10 inference(unit_resolution,[status(thm)],[18525, 17220])).
% 8.18/6.10 tff(18527,plain,
% 8.18/6.10 ((((~v127(constB125, bitIndex2)) <=> v130(constB125, bitIndex2)) | ((~v127(constB125, bitIndex1)) <=> v130(constB125, bitIndex1)) | ((~v127(constB125, bitIndex0)) <=> v130(constB125, bitIndex0))) | (~((~v127(constB125, bitIndex1)) <=> v130(constB125, bitIndex1)))),
% 8.18/6.10 inference(tautology,[status(thm)],[])).
% 8.18/6.10 tff(18528,plain,
% 8.18/6.10 (~((~v127(constB125, bitIndex1)) <=> v130(constB125, bitIndex1))),
% 8.18/6.10 inference(unit_resolution,[status(thm)],[18527, 17234])).
% 8.18/6.10 tff(18529,plain,
% 8.18/6.10 ((v130(constB125, bitIndex2) | v130(constB125, bitIndex1) | (~v130(constB125, bitIndex0))) | (~v130(constB125, bitIndex1))),
% 8.18/6.10 inference(tautology,[status(thm)],[])).
% 8.18/6.10 tff(18530,plain,
% 8.18/6.10 (~v130(constB125, bitIndex1)),
% 8.18/6.10 inference(unit_resolution,[status(thm)],[18529, 18394])).
% 8.18/6.10 tff(18531,plain,
% 8.18/6.10 (((~v127(constB125, bitIndex1)) <=> v130(constB125, bitIndex1)) | (~v127(constB125, bitIndex1)) | v130(constB125, bitIndex1)),
% 8.18/6.10 inference(tautology,[status(thm)],[])).
% 8.18/6.10 tff(18532,plain,
% 8.18/6.10 (~v127(constB125, bitIndex1)),
% 8.18/6.10 inference(unit_resolution,[status(thm)],[18531, 18530, 18528])).
% 8.18/6.10 tff(18533,plain,
% 8.18/6.10 (((~v129(constB126, bitIndex1)) <=> v127(constB125, bitIndex1)) | (~v129(constB126, bitIndex1)) | v127(constB125, bitIndex1)),
% 8.18/6.10 inference(tautology,[status(thm)],[])).
% 8.18/6.10 tff(18534,plain,
% 8.18/6.10 (~v129(constB126, bitIndex1)),
% 8.18/6.10 inference(unit_resolution,[status(thm)],[18533, 18532, 18526])).
% 8.18/6.10 tff(18535,plain,
% 8.18/6.10 ((((~v90(constB126, bitIndex0)) <=> v129(constB126, bitIndex0)) | ((~v90(constB126, bitIndex2)) <=> v129(constB126, bitIndex2)) | ((~v90(constB126, bitIndex1)) <=> v129(constB126, bitIndex1))) | (~((~v90(constB126, bitIndex1)) <=> v129(constB126, bitIndex1)))),
% 8.18/6.10 inference(tautology,[status(thm)],[])).
% 8.18/6.10 tff(18536,plain,
% 8.18/6.10 (~((~v90(constB126, bitIndex1)) <=> v129(constB126, bitIndex1))),
% 8.18/6.10 inference(unit_resolution,[status(thm)],[18535, 18498])).
% 8.18/6.10 tff(18537,plain,
% 8.18/6.10 (((~v90(constB126, bitIndex1)) <=> v129(constB126, bitIndex1)) | (~v90(constB126, bitIndex1)) | v129(constB126, bitIndex1)),
% 8.18/6.10 inference(tautology,[status(thm)],[])).
% 8.18/6.10 tff(18538,plain,
% 8.18/6.10 (~v90(constB126, bitIndex1)),
% 8.18/6.10 inference(unit_resolution,[status(thm)],[18537, 18536, 18534])).
% 8.18/6.10 tff(18539,plain,
% 8.18/6.10 (((~v90(constB127, bitIndex1)) <=> v90(constB126, bitIndex1)) | (~v90(constB127, bitIndex1)) | v90(constB126, bitIndex1)),
% 8.18/6.10 inference(tautology,[status(thm)],[])).
% 8.18/6.10 tff(18540,plain,
% 8.18/6.10 (~v90(constB127, bitIndex1)),
% 8.18/6.10 inference(unit_resolution,[status(thm)],[18539, 18538, 18524])).
% 8.18/6.10 tff(18541,plain,
% 8.18/6.10 ((~(v90(constB127, bitIndex1) | v90(constB127, bitIndex2) | (~v90(constB127, bitIndex0)))) | v90(constB127, bitIndex1) | v90(constB127, bitIndex2) | (~v90(constB127, bitIndex0))),
% 8.18/6.10 inference(tautology,[status(thm)],[])).
% 8.18/6.10 tff(18542,plain,
% 8.18/6.10 (~(v90(constB127, bitIndex1) | v90(constB127, bitIndex2) | (~v90(constB127, bitIndex0)))),
% 8.18/6.10 inference(unit_resolution,[status(thm)],[18541, 18540, 18522, 18504])).
% 8.18/6.10 tff(18543,plain,
% 8.18/6.10 ((~(v120(constB127) <=> (~(v90(constB127, bitIndex1) | v90(constB127, bitIndex2) | (~v90(constB127, bitIndex0)))))) | v120(constB127) | (v90(constB127, bitIndex1) | v90(constB127, bitIndex2) | (~v90(constB127, bitIndex0)))),
% 8.18/6.10 inference(tautology,[status(thm)],[])).
% 8.18/6.10 tff(18544,plain,
% 8.18/6.10 (v120(constB127)),
% 8.18/6.10 inference(unit_resolution,[status(thm)],[18543, 18542, 17177])).
% 8.18/6.10 tff(18545,plain,
% 8.18/6.10 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB127)) | (~(v130(constB127, bitIndex2) | v130(constB127, bitIndex0) | (~v130(constB127, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB127)) | (~(v130(constB127, bitIndex2) | v130(constB127, bitIndex0) | (~v130(constB127, bitIndex1)))))),
% 8.18/6.10 inference(rewrite,[status(thm)],[])).
% 8.18/6.10 tff(18546,plain,
% 8.18/6.10 (((~v120(constB127)) | (~(v130(constB127, bitIndex0) | v130(constB127, bitIndex2) | (~v130(constB127, bitIndex1))))) <=> ((~v120(constB127)) | (~(v130(constB127, bitIndex2) | v130(constB127, bitIndex0) | (~v130(constB127, bitIndex1)))))),
% 8.18/6.10 inference(rewrite,[status(thm)],[])).
% 8.18/6.10 tff(18547,plain,
% 8.18/6.10 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB127)) | (~(v130(constB127, bitIndex0) | v130(constB127, bitIndex2) | (~v130(constB127, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB127)) | (~(v130(constB127, bitIndex2) | v130(constB127, bitIndex0) | (~v130(constB127, bitIndex1))))))),
% 8.18/6.10 inference(monotonicity,[status(thm)],[18546])).
% 8.18/6.10 tff(18548,plain,
% 8.18/6.10 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB127)) | (~(v130(constB127, bitIndex0) | v130(constB127, bitIndex2) | (~v130(constB127, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB127)) | (~(v130(constB127, bitIndex2) | v130(constB127, bitIndex0) | (~v130(constB127, bitIndex1)))))),
% 8.18/6.10 inference(transitivity,[status(thm)],[18547, 18545])).
% 8.18/6.10 tff(18549,plain,
% 8.18/6.10 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB127)) | (~(v130(constB127, bitIndex0) | v130(constB127, bitIndex2) | (~v130(constB127, bitIndex1)))))),
% 8.18/6.10 inference(quant_inst,[status(thm)],[])).
% 8.18/6.10 tff(18550,plain,
% 8.18/6.10 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB127)) | (~(v130(constB127, bitIndex2) | v130(constB127, bitIndex0) | (~v130(constB127, bitIndex1))))),
% 8.18/6.11 inference(modus_ponens,[status(thm)],[18549, 18548])).
% 8.18/6.11 tff(18551,plain,
% 8.18/6.11 ((~v120(constB127)) | (~(v130(constB127, bitIndex2) | v130(constB127, bitIndex0) | (~v130(constB127, bitIndex1))))),
% 8.18/6.11 inference(unit_resolution,[status(thm)],[18550, 3881])).
% 8.18/6.11 tff(18552,plain,
% 8.18/6.11 (~(v130(constB127, bitIndex2) | v130(constB127, bitIndex0) | (~v130(constB127, bitIndex1)))),
% 8.18/6.11 inference(unit_resolution,[status(thm)],[18551, 18544])).
% 8.18/6.11 tff(18553,plain,
% 8.18/6.11 ((v130(constB127, bitIndex2) | v130(constB127, bitIndex0) | (~v130(constB127, bitIndex1))) | (~v130(constB127, bitIndex2))),
% 8.18/6.11 inference(tautology,[status(thm)],[])).
% 8.18/6.11 tff(18554,plain,
% 8.18/6.11 (~v130(constB127, bitIndex2)),
% 8.18/6.11 inference(unit_resolution,[status(thm)],[18553, 18552])).
% 8.18/6.11 tff(18555,plain,
% 8.18/6.11 (((~v127(constB127, bitIndex2)) <=> v130(constB127, bitIndex2)) | (~v127(constB127, bitIndex2)) | v130(constB127, bitIndex2)),
% 8.18/6.11 inference(tautology,[status(thm)],[])).
% 8.18/6.11 tff(18556,plain,
% 8.18/6.11 (~v127(constB127, bitIndex2)),
% 8.18/6.11 inference(unit_resolution,[status(thm)],[18555, 18554, 17175])).
% 8.18/6.11 tff(18557,plain,
% 8.18/6.11 (((~v129(constB128, bitIndex2)) <=> v127(constB127, bitIndex2)) | (~v129(constB128, bitIndex2)) | v127(constB127, bitIndex2)),
% 8.18/6.11 inference(tautology,[status(thm)],[])).
% 8.18/6.11 tff(18558,plain,
% 8.18/6.11 (~v129(constB128, bitIndex2)),
% 8.18/6.11 inference(unit_resolution,[status(thm)],[18557, 18556, 17161])).
% 8.18/6.11 tff(18559,plain,
% 8.18/6.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB127, constB128)) | (v100(constB128) <=> (~((~v101(constB128)) | (~v110(constB128))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB127, constB128)) | (v100(constB128) <=> (~((~v101(constB128)) | (~v110(constB128))))))),
% 8.18/6.11 inference(rewrite,[status(thm)],[])).
% 8.18/6.11 tff(18560,plain,
% 8.18/6.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB127, constB128)) | (v100(constB128) <=> (~((~v101(constB128)) | (~v110(constB128))))))),
% 8.18/6.11 inference(quant_inst,[status(thm)],[])).
% 8.18/6.11 tff(18561,plain,
% 8.18/6.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB127, constB128)) | (v100(constB128) <=> (~((~v101(constB128)) | (~v110(constB128)))))),
% 8.18/6.11 inference(modus_ponens,[status(thm)],[18560, 18559])).
% 8.18/6.11 tff(18562,plain,
% 8.18/6.11 (v100(constB128) <=> (~((~v101(constB128)) | (~v110(constB128))))),
% 8.18/6.11 inference(unit_resolution,[status(thm)],[18561, 17155, 445])).
% 8.18/6.11 tff(18563,plain,
% 8.18/6.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB127, constB128)) | (v101(constB128) <=> (~((~v1(constB128)) | (~v102(constB128))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB127, constB128)) | (v101(constB128) <=> (~((~v1(constB128)) | (~v102(constB128))))))),
% 8.18/6.11 inference(rewrite,[status(thm)],[])).
% 8.18/6.11 tff(18564,plain,
% 8.18/6.11 (((~nextState(constB127, constB128)) | (v101(constB128) <=> (~((~v102(constB128)) | (~v1(constB128)))))) <=> ((~nextState(constB127, constB128)) | (v101(constB128) <=> (~((~v1(constB128)) | (~v102(constB128))))))),
% 8.18/6.11 inference(rewrite,[status(thm)],[])).
% 8.18/6.11 tff(18565,plain,
% 8.18/6.11 (((~![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) <=> (~((~v1(constB128)) | (~v102(constB128)))))))),
% 8.18/6.11 inference(monotonicity,[status(thm)],[18564])).
% 8.18/6.11 tff(18566,plain,
% 8.18/6.11 (((~![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) <=> (~((~v1(constB128)) | (~v102(constB128))))))),
% 8.18/6.11 inference(transitivity,[status(thm)],[18565, 18563])).
% 8.18/6.11 tff(18567,plain,
% 8.18/6.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB127, constB128)) | (v101(constB128) <=> (~((~v102(constB128)) | (~v1(constB128))))))),
% 8.18/6.11 inference(quant_inst,[status(thm)],[])).
% 8.18/6.11 tff(18568,plain,
% 8.18/6.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB127, constB128)) | (v101(constB128) <=> (~((~v1(constB128)) | (~v102(constB128)))))),
% 8.18/6.11 inference(modus_ponens,[status(thm)],[18567, 18566])).
% 8.18/6.11 tff(18569,plain,
% 8.18/6.11 (v101(constB128) <=> (~((~v1(constB128)) | (~v102(constB128))))),
% 8.18/6.11 inference(unit_resolution,[status(thm)],[18568, 17155, 465])).
% 8.18/6.11 tff(18570,plain,
% 8.18/6.11 (((~![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)))),
% 8.18/6.11 inference(rewrite,[status(thm)],[])).
% 8.18/6.11 tff(18571,plain,
% 8.18/6.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB127, constB128)) | ((~v102(constB128)) <=> v104(constB128)))),
% 8.18/6.11 inference(quant_inst,[status(thm)],[])).
% 8.18/6.11 tff(18572,plain,
% 8.18/6.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB127, constB128)) | ((~v102(constB128)) <=> v104(constB128))),
% 8.18/6.11 inference(modus_ponens,[status(thm)],[18571, 18570])).
% 8.18/6.11 tff(18573,plain,
% 8.18/6.11 ((~v102(constB128)) <=> v104(constB128)),
% 8.18/6.11 inference(unit_resolution,[status(thm)],[18572, 17155, 3244])).
% 8.18/6.11 tff(18574,plain,
% 8.18/6.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB127, constB128)) | (v104(constB128) <=> v1(constB127)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB127, constB128)) | (v104(constB128) <=> v1(constB127)))),
% 8.18/6.11 inference(rewrite,[status(thm)],[])).
% 8.18/6.11 tff(18575,plain,
% 8.18/6.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB127, constB128)) | (v104(constB128) <=> v1(constB127)))),
% 8.18/6.11 inference(quant_inst,[status(thm)],[])).
% 8.18/6.11 tff(18576,plain,
% 8.18/6.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB127, constB128)) | (v104(constB128) <=> v1(constB127))),
% 8.18/6.11 inference(modus_ponens,[status(thm)],[18575, 18574])).
% 8.18/6.11 tff(18577,plain,
% 8.18/6.11 (v104(constB128) <=> v1(constB127)),
% 8.18/6.11 inference(unit_resolution,[status(thm)],[18576, 17155, 3258])).
% 8.18/6.11 tff(18578,plain,
% 8.18/6.11 ((~(v104(constB128) <=> v1(constB127))) | (~v104(constB128)) | v1(constB127)),
% 8.18/6.11 inference(tautology,[status(thm)],[])).
% 8.18/6.11 tff(18579,plain,
% 8.18/6.11 ((~(v104(constB128) <=> v1(constB127))) | (~v104(constB128))),
% 8.18/6.11 inference(unit_resolution,[status(thm)],[18578, 17194])).
% 8.18/6.11 tff(18580,plain,
% 8.18/6.11 (~v104(constB128)),
% 8.18/6.11 inference(unit_resolution,[status(thm)],[18579, 18577])).
% 8.18/6.11 tff(18581,plain,
% 8.18/6.11 ((~((~v102(constB128)) <=> v104(constB128))) | v102(constB128) | v104(constB128)),
% 8.18/6.11 inference(tautology,[status(thm)],[])).
% 8.18/6.11 tff(18582,plain,
% 8.18/6.11 (v102(constB128)),
% 8.18/6.11 inference(unit_resolution,[status(thm)],[18581, 18580, 18573])).
% 8.18/6.11 tff(18583,plain,
% 8.18/6.11 (v1(constB128) <=> v1(constB128)),
% 8.18/6.11 inference(rewrite,[status(thm)],[])).
% 8.18/6.11 tff(18584,axiom,(v1(constB128)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_128')).
% 8.18/6.11 tff(18585,plain,
% 8.18/6.11 (v1(constB128)),
% 8.18/6.11 inference(modus_ponens,[status(thm)],[18584, 18583])).
% 8.18/6.11 tff(18586,plain,
% 8.18/6.11 ((~((~v1(constB128)) | (~v102(constB128)))) | (~v1(constB128)) | (~v102(constB128))),
% 8.18/6.11 inference(tautology,[status(thm)],[])).
% 8.18/6.11 tff(18587,plain,
% 8.18/6.11 ((~((~v1(constB128)) | (~v102(constB128)))) | (~v102(constB128))),
% 8.18/6.11 inference(unit_resolution,[status(thm)],[18586, 18585])).
% 8.18/6.11 tff(18588,plain,
% 8.18/6.11 (~((~v1(constB128)) | (~v102(constB128)))),
% 8.18/6.11 inference(unit_resolution,[status(thm)],[18587, 18582])).
% 8.18/6.11 tff(18589,plain,
% 8.18/6.11 ((~(v101(constB128) <=> (~((~v1(constB128)) | (~v102(constB128)))))) | v101(constB128) | ((~v1(constB128)) | (~v102(constB128)))),
% 8.18/6.11 inference(tautology,[status(thm)],[])).
% 8.18/6.11 tff(18590,plain,
% 8.18/6.11 (v101(constB128)),
% 8.18/6.11 inference(unit_resolution,[status(thm)],[18589, 18588, 18569])).
% 8.18/6.11 tff(18591,plain,
% 8.18/6.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB127, constB128)) | (v110(constB128) <=> v108(constB127)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB127, constB128)) | (v110(constB128) <=> v108(constB127)))),
% 8.18/6.11 inference(rewrite,[status(thm)],[])).
% 8.18/6.11 tff(18592,plain,
% 8.18/6.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB127, constB128)) | (v110(constB128) <=> v108(constB127)))),
% 8.18/6.11 inference(quant_inst,[status(thm)],[])).
% 8.18/6.11 tff(18593,plain,
% 8.18/6.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB127, constB128)) | (v110(constB128) <=> v108(constB127))),
% 8.18/6.11 inference(modus_ponens,[status(thm)],[18592, 18591])).
% 8.18/6.11 tff(18594,plain,
% 8.18/6.11 (v110(constB128) <=> v108(constB127)),
% 8.18/6.11 inference(unit_resolution,[status(thm)],[18593, 17155, 3285])).
% 8.18/6.11 tff(18595,plain,
% 8.18/6.11 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB127) <=> (v111(constB127) | v112(constB127)))),
% 8.18/6.11 inference(quant_inst,[status(thm)],[])).
% 8.18/6.11 tff(18596,plain,
% 8.18/6.11 (v108(constB127) <=> (v111(constB127) | v112(constB127))),
% 8.18/6.11 inference(unit_resolution,[status(thm)],[18595, 3296])).
% 8.18/6.11 tff(18597,plain,
% 8.18/6.11 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB127) <=> (~((~v113(constB127)) | (~v126(constB127)))))),
% 8.18/6.11 inference(quant_inst,[status(thm)],[])).
% 8.18/6.11 tff(18598,plain,
% 8.18/6.11 (v112(constB127) <=> (~((~v113(constB127)) | (~v126(constB127))))),
% 8.18/6.11 inference(unit_resolution,[status(thm)],[18597, 3308])).
% 8.18/6.11 tff(18599,plain,
% 8.18/6.11 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB127) <=> (v114(constB127) | v125(constB127)))),
% 8.18/6.11 inference(quant_inst,[status(thm)],[])).
% 8.18/6.11 tff(18600,plain,
% 8.18/6.11 (v113(constB127) <=> (v114(constB127) | v125(constB127))),
% 8.18/6.11 inference(unit_resolution,[status(thm)],[18599, 3317])).
% 8.18/6.11 tff(18601,plain,
% 8.18/6.11 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB127) <=> (v115(constB127) | v124(constB127)))),
% 8.18/6.11 inference(quant_inst,[status(thm)],[])).
% 8.18/6.11 tff(18602,plain,
% 8.18/6.11 (v114(constB127) <=> (v115(constB127) | v124(constB127))),
% 8.18/6.11 inference(unit_resolution,[status(thm)],[18601, 3326])).
% 8.18/6.11 tff(18603,plain,
% 8.18/6.11 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB127) <=> (v116(constB127) | v123(constB127)))),
% 8.18/6.11 inference(quant_inst,[status(thm)],[])).
% 8.18/6.11 tff(18604,plain,
% 8.18/6.11 (v115(constB127) <=> (v116(constB127) | v123(constB127))),
% 8.18/6.11 inference(unit_resolution,[status(thm)],[18603, 3335])).
% 8.18/6.11 tff(18605,plain,
% 8.18/6.11 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB127) <=> (v117(constB127) | v122(constB127)))),
% 8.18/6.11 inference(quant_inst,[status(thm)],[])).
% 8.18/6.11 tff(18606,plain,
% 8.18/6.11 (v116(constB127) <=> (v117(constB127) | v122(constB127))),
% 8.18/6.11 inference(unit_resolution,[status(thm)],[18605, 3344])).
% 8.18/6.11 tff(18607,plain,
% 8.18/6.11 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB127) <=> (v118(constB127) | v121(constB127)))),
% 8.18/6.11 inference(quant_inst,[status(thm)],[])).
% 8.18/6.11 tff(18608,plain,
% 8.18/6.11 (v117(constB127) <=> (v118(constB127) | v121(constB127))),
% 8.18/6.11 inference(unit_resolution,[status(thm)],[18607, 3353])).
% 8.18/6.11 tff(18609,plain,
% 8.18/6.11 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB127) <=> (v119(constB127) | v120(constB127)))),
% 8.18/6.11 inference(quant_inst,[status(thm)],[])).
% 8.18/6.11 tff(18610,plain,
% 8.18/6.11 (v118(constB127) <=> (v119(constB127) | v120(constB127))),
% 8.18/6.11 inference(unit_resolution,[status(thm)],[18609, 3362])).
% 8.18/6.11 tff(18611,plain,
% 8.18/6.11 ((v119(constB127) | v120(constB127)) | (~v120(constB127))),
% 8.18/6.11 inference(tautology,[status(thm)],[])).
% 8.18/6.11 tff(18612,plain,
% 8.18/6.11 (v119(constB127) | v120(constB127)),
% 8.18/6.11 inference(unit_resolution,[status(thm)],[18611, 18544])).
% 8.18/6.11 tff(18613,plain,
% 8.18/6.11 ((~(v118(constB127) <=> (v119(constB127) | v120(constB127)))) | v118(constB127) | (~(v119(constB127) | v120(constB127)))),
% 8.18/6.11 inference(tautology,[status(thm)],[])).
% 8.18/6.11 tff(18614,plain,
% 8.18/6.11 (v118(constB127)),
% 8.18/6.11 inference(unit_resolution,[status(thm)],[18613, 18612, 18610])).
% 8.18/6.11 tff(18615,plain,
% 8.18/6.11 ((v118(constB127) | v121(constB127)) | (~v118(constB127))),
% 8.18/6.11 inference(tautology,[status(thm)],[])).
% 8.18/6.11 tff(18616,plain,
% 8.18/6.11 (v118(constB127) | v121(constB127)),
% 8.18/6.11 inference(unit_resolution,[status(thm)],[18615, 18614])).
% 8.18/6.11 tff(18617,plain,
% 8.18/6.11 ((~(v117(constB127) <=> (v118(constB127) | v121(constB127)))) | v117(constB127) | (~(v118(constB127) | v121(constB127)))),
% 8.18/6.11 inference(tautology,[status(thm)],[])).
% 8.18/6.11 tff(18618,plain,
% 8.18/6.11 (v117(constB127)),
% 8.18/6.11 inference(unit_resolution,[status(thm)],[18617, 18616, 18608])).
% 8.18/6.11 tff(18619,plain,
% 8.18/6.11 ((v117(constB127) | v122(constB127)) | (~v117(constB127))),
% 8.18/6.11 inference(tautology,[status(thm)],[])).
% 8.18/6.11 tff(18620,plain,
% 8.18/6.11 (v117(constB127) | v122(constB127)),
% 8.18/6.11 inference(unit_resolution,[status(thm)],[18619, 18618])).
% 8.18/6.11 tff(18621,plain,
% 8.18/6.11 ((~(v116(constB127) <=> (v117(constB127) | v122(constB127)))) | v116(constB127) | (~(v117(constB127) | v122(constB127)))),
% 8.18/6.11 inference(tautology,[status(thm)],[])).
% 8.18/6.11 tff(18622,plain,
% 8.18/6.11 (v116(constB127)),
% 8.18/6.11 inference(unit_resolution,[status(thm)],[18621, 18620, 18606])).
% 8.18/6.11 tff(18623,plain,
% 8.18/6.11 ((v116(constB127) | v123(constB127)) | (~v116(constB127))),
% 8.18/6.11 inference(tautology,[status(thm)],[])).
% 8.18/6.11 tff(18624,plain,
% 8.18/6.11 (v116(constB127) | v123(constB127)),
% 8.18/6.11 inference(unit_resolution,[status(thm)],[18623, 18622])).
% 8.18/6.11 tff(18625,plain,
% 8.18/6.11 ((~(v115(constB127) <=> (v116(constB127) | v123(constB127)))) | v115(constB127) | (~(v116(constB127) | v123(constB127)))),
% 8.18/6.11 inference(tautology,[status(thm)],[])).
% 8.18/6.11 tff(18626,plain,
% 8.18/6.11 (v115(constB127)),
% 8.18/6.11 inference(unit_resolution,[status(thm)],[18625, 18624, 18604])).
% 8.18/6.11 tff(18627,plain,
% 8.18/6.11 ((v115(constB127) | v124(constB127)) | (~v115(constB127))),
% 8.18/6.11 inference(tautology,[status(thm)],[])).
% 8.18/6.11 tff(18628,plain,
% 8.18/6.11 (v115(constB127) | v124(constB127)),
% 8.18/6.11 inference(unit_resolution,[status(thm)],[18627, 18626])).
% 8.18/6.11 tff(18629,plain,
% 8.18/6.11 ((~(v114(constB127) <=> (v115(constB127) | v124(constB127)))) | v114(constB127) | (~(v115(constB127) | v124(constB127)))),
% 8.18/6.11 inference(tautology,[status(thm)],[])).
% 8.18/6.11 tff(18630,plain,
% 8.18/6.11 (v114(constB127)),
% 8.18/6.11 inference(unit_resolution,[status(thm)],[18629, 18628, 18602])).
% 8.18/6.11 tff(18631,plain,
% 8.18/6.11 ((v114(constB127) | v125(constB127)) | (~v114(constB127))),
% 8.18/6.11 inference(tautology,[status(thm)],[])).
% 8.18/6.11 tff(18632,plain,
% 8.18/6.11 (v114(constB127) | v125(constB127)),
% 8.18/6.11 inference(unit_resolution,[status(thm)],[18631, 18630])).
% 8.18/6.11 tff(18633,plain,
% 8.18/6.11 ((~(v113(constB127) <=> (v114(constB127) | v125(constB127)))) | v113(constB127) | (~(v114(constB127) | v125(constB127)))),
% 8.18/6.11 inference(tautology,[status(thm)],[])).
% 8.18/6.11 tff(18634,plain,
% 8.18/6.11 (v113(constB127)),
% 8.18/6.11 inference(unit_resolution,[status(thm)],[18633, 18632, 18600])).
% 8.18/6.11 tff(18635,plain,
% 8.18/6.11 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB127)) <=> v111(constB127))),
% 8.18/6.11 inference(quant_inst,[status(thm)],[])).
% 8.18/6.11 tff(18636,plain,
% 8.18/6.11 ((~v126(constB127)) <=> v111(constB127)),
% 8.18/6.11 inference(unit_resolution,[status(thm)],[18635, 3396])).
% 8.18/6.11 tff(18637,plain,
% 8.18/6.11 ((~((~v126(constB127)) <=> v111(constB127))) | v126(constB127) | v111(constB127)),
% 8.18/6.11 inference(tautology,[status(thm)],[])).
% 8.18/6.11 tff(18638,plain,
% 8.18/6.11 ((~((~v126(constB127)) <=> v111(constB127))) | v126(constB127)),
% 8.18/6.11 inference(unit_resolution,[status(thm)],[18637, 17168])).
% 8.18/6.11 tff(18639,plain,
% 8.18/6.11 (v126(constB127)),
% 8.18/6.11 inference(unit_resolution,[status(thm)],[18638, 18636])).
% 8.18/6.11 tff(18640,plain,
% 8.18/6.11 ((~((~v113(constB127)) | (~v126(constB127)))) | (~v113(constB127)) | (~v126(constB127))),
% 8.18/6.11 inference(tautology,[status(thm)],[])).
% 8.18/6.11 tff(18641,plain,
% 8.18/6.11 ((~((~v113(constB127)) | (~v126(constB127)))) | (~v113(constB127))),
% 8.18/6.11 inference(unit_resolution,[status(thm)],[18640, 18639])).
% 8.18/6.11 tff(18642,plain,
% 8.18/6.11 (~((~v113(constB127)) | (~v126(constB127)))),
% 8.18/6.11 inference(unit_resolution,[status(thm)],[18641, 18634])).
% 8.18/6.11 tff(18643,plain,
% 8.18/6.11 ((~(v112(constB127) <=> (~((~v113(constB127)) | (~v126(constB127)))))) | v112(constB127) | ((~v113(constB127)) | (~v126(constB127)))),
% 8.18/6.11 inference(tautology,[status(thm)],[])).
% 8.18/6.11 tff(18644,plain,
% 8.18/6.11 (v112(constB127)),
% 8.18/6.11 inference(unit_resolution,[status(thm)],[18643, 18642, 18598])).
% 8.18/6.11 tff(18645,plain,
% 8.18/6.11 ((v111(constB127) | v112(constB127)) | (~v112(constB127))),
% 8.18/6.11 inference(tautology,[status(thm)],[])).
% 8.18/6.11 tff(18646,plain,
% 8.18/6.11 (v111(constB127) | v112(constB127)),
% 8.18/6.11 inference(unit_resolution,[status(thm)],[18645, 18644])).
% 8.18/6.11 tff(18647,plain,
% 8.18/6.11 ((~(v108(constB127) <=> (v111(constB127) | v112(constB127)))) | v108(constB127) | (~(v111(constB127) | v112(constB127)))),
% 8.18/6.11 inference(tautology,[status(thm)],[])).
% 8.18/6.11 tff(18648,plain,
% 8.18/6.11 (v108(constB127)),
% 8.18/6.11 inference(unit_resolution,[status(thm)],[18647, 18646, 18596])).
% 8.18/6.11 tff(18649,plain,
% 8.18/6.11 ((~(v110(constB128) <=> v108(constB127))) | v110(constB128) | (~v108(constB127))),
% 8.18/6.11 inference(tautology,[status(thm)],[])).
% 8.18/6.11 tff(18650,plain,
% 8.18/6.11 (v110(constB128)),
% 8.18/6.11 inference(unit_resolution,[status(thm)],[18649, 18648, 18594])).
% 8.18/6.11 tff(18651,plain,
% 8.18/6.11 ((~((~v101(constB128)) | (~v110(constB128)))) | (~v101(constB128)) | (~v110(constB128))),
% 8.18/6.11 inference(tautology,[status(thm)],[])).
% 8.18/6.11 tff(18652,plain,
% 8.18/6.11 (~((~v101(constB128)) | (~v110(constB128)))),
% 8.18/6.11 inference(unit_resolution,[status(thm)],[18651, 18650, 18590])).
% 8.18/6.11 tff(18653,plain,
% 8.18/6.11 ((~(v100(constB128) <=> (~((~v101(constB128)) | (~v110(constB128)))))) | v100(constB128) | ((~v101(constB128)) | (~v110(constB128)))),
% 8.18/6.11 inference(tautology,[status(thm)],[])).
% 8.18/6.11 tff(18654,plain,
% 8.18/6.11 (v100(constB128)),
% 8.18/6.11 inference(unit_resolution,[status(thm)],[18653, 18652, 18562])).
% 8.18/6.11 tff(18655,plain,
% 8.18/6.11 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB128)) | (~(((~v90(constB128, bitIndex2)) <=> v129(constB128, bitIndex2)) | ((~v90(constB128, bitIndex1)) <=> v129(constB128, bitIndex1)) | ((~v90(constB128, bitIndex0)) <=> v129(constB128, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB128)) | (~(((~v90(constB128, bitIndex2)) <=> v129(constB128, bitIndex2)) | ((~v90(constB128, bitIndex1)) <=> v129(constB128, bitIndex1)) | ((~v90(constB128, bitIndex0)) <=> v129(constB128, bitIndex0)))))),
% 8.18/6.11 inference(rewrite,[status(thm)],[])).
% 8.18/6.11 tff(18656,plain,
% 8.18/6.11 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB128)) | (~(((~v90(constB128, bitIndex2)) <=> v129(constB128, bitIndex2)) | ((~v90(constB128, bitIndex1)) <=> v129(constB128, bitIndex1)) | ((~v90(constB128, bitIndex0)) <=> v129(constB128, bitIndex0)))))),
% 8.18/6.11 inference(quant_inst,[status(thm)],[])).
% 8.18/6.11 tff(18657,plain,
% 8.18/6.11 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB128)) | (~(((~v90(constB128, bitIndex2)) <=> v129(constB128, bitIndex2)) | ((~v90(constB128, bitIndex1)) <=> v129(constB128, bitIndex1)) | ((~v90(constB128, bitIndex0)) <=> v129(constB128, bitIndex0))))),
% 8.18/6.11 inference(modus_ponens,[status(thm)],[18656, 18655])).
% 8.18/6.11 tff(18658,plain,
% 8.18/6.11 ((~v100(constB128)) | (~(((~v90(constB128, bitIndex2)) <=> v129(constB128, bitIndex2)) | ((~v90(constB128, bitIndex1)) <=> v129(constB128, bitIndex1)) | ((~v90(constB128, bitIndex0)) <=> v129(constB128, bitIndex0))))),
% 8.18/6.11 inference(unit_resolution,[status(thm)],[18657, 3429])).
% 8.18/6.11 tff(18659,plain,
% 8.18/6.11 (~(((~v90(constB128, bitIndex2)) <=> v129(constB128, bitIndex2)) | ((~v90(constB128, bitIndex1)) <=> v129(constB128, bitIndex1)) | ((~v90(constB128, bitIndex0)) <=> v129(constB128, bitIndex0)))),
% 8.18/6.11 inference(unit_resolution,[status(thm)],[18658, 18654])).
% 8.18/6.11 tff(18660,plain,
% 8.18/6.11 ((((~v90(constB128, bitIndex2)) <=> v129(constB128, bitIndex2)) | ((~v90(constB128, bitIndex1)) <=> v129(constB128, bitIndex1)) | ((~v90(constB128, bitIndex0)) <=> v129(constB128, bitIndex0))) | (~((~v90(constB128, bitIndex2)) <=> v129(constB128, bitIndex2)))),
% 8.18/6.11 inference(tautology,[status(thm)],[])).
% 8.18/6.11 tff(18661,plain,
% 8.18/6.11 (~((~v90(constB128, bitIndex2)) <=> v129(constB128, bitIndex2))),
% 8.18/6.11 inference(unit_resolution,[status(thm)],[18660, 18659])).
% 8.18/6.11 tff(18662,plain,
% 8.18/6.11 (((~v90(constB128, bitIndex2)) <=> v129(constB128, bitIndex2)) | (~v90(constB128, bitIndex2)) | v129(constB128, bitIndex2)),
% 8.18/6.11 inference(tautology,[status(thm)],[])).
% 8.18/6.11 tff(18663,plain,
% 8.18/6.11 (~v90(constB128, bitIndex2)),
% 8.18/6.11 inference(unit_resolution,[status(thm)],[18662, 18661, 18558])).
% 8.18/6.11 tff(18664,plain,
% 8.18/6.11 (((~v90(constB129, bitIndex2)) <=> v90(constB128, bitIndex2)) | (~v90(constB129, bitIndex2)) | v90(constB128, bitIndex2)),
% 8.18/6.11 inference(tautology,[status(thm)],[])).
% 8.18/6.11 tff(18665,plain,
% 8.18/6.11 (~v90(constB129, bitIndex2)),
% 8.18/6.11 inference(unit_resolution,[status(thm)],[18664, 18663, 17152])).
% 8.18/6.11 tff(18666,plain,
% 8.18/6.11 ((((~v90(constB129, bitIndex1)) <=> v90(constB128, bitIndex1)) | ((~v90(constB129, bitIndex2)) <=> v90(constB128, bitIndex2)) | ((~v90(constB129, bitIndex0)) <=> v90(constB128, bitIndex0))) | (~((~v90(constB129, bitIndex0)) <=> v90(constB128, bitIndex0)))),
% 8.18/6.11 inference(tautology,[status(thm)],[])).
% 8.18/6.11 tff(18667,plain,
% 8.18/6.11 (~((~v90(constB129, bitIndex0)) <=> v90(constB128, bitIndex0))),
% 8.18/6.11 inference(unit_resolution,[status(thm)],[18666, 17150])).
% 8.18/6.11 tff(18668,plain,
% 8.18/6.11 ((((~v129(constB128, bitIndex2)) <=> v127(constB127, bitIndex2)) | ((~v129(constB128, bitIndex1)) <=> v127(constB127, bitIndex1)) | ((~v129(constB128, bitIndex0)) <=> v127(constB127, bitIndex0))) | (~((~v129(constB128, bitIndex0)) <=> v127(constB127, bitIndex0)))),
% 8.18/6.11 inference(tautology,[status(thm)],[])).
% 8.18/6.11 tff(18669,plain,
% 8.18/6.11 (~((~v129(constB128, bitIndex0)) <=> v127(constB127, bitIndex0))),
% 8.18/6.11 inference(unit_resolution,[status(thm)],[18668, 17159])).
% 8.18/6.11 tff(18670,plain,
% 8.18/6.11 ((((~v127(constB127, bitIndex2)) <=> v130(constB127, bitIndex2)) | ((~v127(constB127, bitIndex1)) <=> v130(constB127, bitIndex1)) | ((~v127(constB127, bitIndex0)) <=> v130(constB127, bitIndex0))) | (~((~v127(constB127, bitIndex0)) <=> v130(constB127, bitIndex0)))),
% 8.18/6.11 inference(tautology,[status(thm)],[])).
% 8.18/6.11 tff(18671,plain,
% 8.18/6.11 (~((~v127(constB127, bitIndex0)) <=> v130(constB127, bitIndex0))),
% 8.18/6.11 inference(unit_resolution,[status(thm)],[18670, 17173])).
% 8.18/6.11 tff(18672,plain,
% 8.18/6.11 ((v130(constB127, bitIndex2) | v130(constB127, bitIndex0) | (~v130(constB127, bitIndex1))) | (~v130(constB127, bitIndex0))),
% 8.18/6.11 inference(tautology,[status(thm)],[])).
% 8.18/6.11 tff(18673,plain,
% 8.18/6.11 (~v130(constB127, bitIndex0)),
% 8.18/6.11 inference(unit_resolution,[status(thm)],[18672, 18552])).
% 8.18/6.11 tff(18674,plain,
% 8.18/6.11 (((~v127(constB127, bitIndex0)) <=> v130(constB127, bitIndex0)) | (~v127(constB127, bitIndex0)) | v130(constB127, bitIndex0)),
% 8.18/6.11 inference(tautology,[status(thm)],[])).
% 8.18/6.11 tff(18675,plain,
% 8.18/6.11 (~v127(constB127, bitIndex0)),
% 8.18/6.11 inference(unit_resolution,[status(thm)],[18674, 18673, 18671])).
% 8.18/6.11 tff(18676,plain,
% 8.18/6.11 (((~v129(constB128, bitIndex0)) <=> v127(constB127, bitIndex0)) | (~v129(constB128, bitIndex0)) | v127(constB127, bitIndex0)),
% 8.18/6.11 inference(tautology,[status(thm)],[])).
% 8.18/6.11 tff(18677,plain,
% 8.18/6.11 (~v129(constB128, bitIndex0)),
% 8.18/6.11 inference(unit_resolution,[status(thm)],[18676, 18675, 18669])).
% 8.18/6.11 tff(18678,plain,
% 8.18/6.11 ((((~v90(constB128, bitIndex2)) <=> v129(constB128, bitIndex2)) | ((~v90(constB128, bitIndex1)) <=> v129(constB128, bitIndex1)) | ((~v90(constB128, bitIndex0)) <=> v129(constB128, bitIndex0))) | (~((~v90(constB128, bitIndex0)) <=> v129(constB128, bitIndex0)))),
% 8.18/6.11 inference(tautology,[status(thm)],[])).
% 8.18/6.11 tff(18679,plain,
% 8.18/6.11 (~((~v90(constB128, bitIndex0)) <=> v129(constB128, bitIndex0))),
% 8.18/6.11 inference(unit_resolution,[status(thm)],[18678, 18659])).
% 8.18/6.11 tff(18680,plain,
% 8.18/6.11 (((~v90(constB128, bitIndex0)) <=> v129(constB128, bitIndex0)) | (~v90(constB128, bitIndex0)) | v129(constB128, bitIndex0)),
% 8.18/6.11 inference(tautology,[status(thm)],[])).
% 8.18/6.11 tff(18681,plain,
% 8.18/6.11 (~v90(constB128, bitIndex0)),
% 8.18/6.11 inference(unit_resolution,[status(thm)],[18680, 18679, 18677])).
% 8.18/6.11 tff(18682,plain,
% 8.18/6.11 (((~v90(constB129, bitIndex0)) <=> v90(constB128, bitIndex0)) | (~v90(constB129, bitIndex0)) | v90(constB128, bitIndex0)),
% 8.18/6.11 inference(tautology,[status(thm)],[])).
% 8.18/6.11 tff(18683,plain,
% 8.18/6.11 (~v90(constB129, bitIndex0)),
% 8.18/6.11 inference(unit_resolution,[status(thm)],[18682, 18681, 18667])).
% 8.18/6.11 tff(18684,plain,
% 8.18/6.11 ((((~v90(constB129, bitIndex1)) <=> v90(constB128, bitIndex1)) | ((~v90(constB129, bitIndex2)) <=> v90(constB128, bitIndex2)) | ((~v90(constB129, bitIndex0)) <=> v90(constB128, bitIndex0))) | (~((~v90(constB129, bitIndex1)) <=> v90(constB128, bitIndex1)))),
% 8.18/6.11 inference(tautology,[status(thm)],[])).
% 8.18/6.11 tff(18685,plain,
% 8.18/6.11 (~((~v90(constB129, bitIndex1)) <=> v90(constB128, bitIndex1))),
% 8.18/6.11 inference(unit_resolution,[status(thm)],[18684, 17150])).
% 8.18/6.11 tff(18686,plain,
% 8.18/6.11 ((((~v129(constB128, bitIndex2)) <=> v127(constB127, bitIndex2)) | ((~v129(constB128, bitIndex1)) <=> v127(constB127, bitIndex1)) | ((~v129(constB128, bitIndex0)) <=> v127(constB127, bitIndex0))) | (~((~v129(constB128, bitIndex1)) <=> v127(constB127, bitIndex1)))),
% 8.18/6.11 inference(tautology,[status(thm)],[])).
% 8.18/6.11 tff(18687,plain,
% 8.18/6.11 (~((~v129(constB128, bitIndex1)) <=> v127(constB127, bitIndex1))),
% 8.18/6.11 inference(unit_resolution,[status(thm)],[18686, 17159])).
% 8.18/6.11 tff(18688,plain,
% 8.18/6.11 ((((~v127(constB127, bitIndex2)) <=> v130(constB127, bitIndex2)) | ((~v127(constB127, bitIndex1)) <=> v130(constB127, bitIndex1)) | ((~v127(constB127, bitIndex0)) <=> v130(constB127, bitIndex0))) | (~((~v127(constB127, bitIndex1)) <=> v130(constB127, bitIndex1)))),
% 8.18/6.11 inference(tautology,[status(thm)],[])).
% 8.18/6.11 tff(18689,plain,
% 8.18/6.11 (~((~v127(constB127, bitIndex1)) <=> v130(constB127, bitIndex1))),
% 8.18/6.11 inference(unit_resolution,[status(thm)],[18688, 17173])).
% 8.18/6.11 tff(18690,plain,
% 8.18/6.11 ((v130(constB127, bitIndex2) | v130(constB127, bitIndex0) | (~v130(constB127, bitIndex1))) | v130(constB127, bitIndex1)),
% 8.18/6.11 inference(tautology,[status(thm)],[])).
% 8.18/6.11 tff(18691,plain,
% 8.18/6.11 (v130(constB127, bitIndex1)),
% 8.18/6.11 inference(unit_resolution,[status(thm)],[18690, 18552])).
% 8.18/6.11 tff(18692,plain,
% 8.18/6.11 (((~v127(constB127, bitIndex1)) <=> v130(constB127, bitIndex1)) | v127(constB127, bitIndex1) | (~v130(constB127, bitIndex1))),
% 8.18/6.11 inference(tautology,[status(thm)],[])).
% 8.18/6.11 tff(18693,plain,
% 8.18/6.11 (v127(constB127, bitIndex1)),
% 8.18/6.11 inference(unit_resolution,[status(thm)],[18692, 18691, 18689])).
% 8.18/6.11 tff(18694,plain,
% 8.18/6.11 (((~v129(constB128, bitIndex1)) <=> v127(constB127, bitIndex1)) | v129(constB128, bitIndex1) | (~v127(constB127, bitIndex1))),
% 8.18/6.11 inference(tautology,[status(thm)],[])).
% 8.18/6.11 tff(18695,plain,
% 8.18/6.11 (v129(constB128, bitIndex1)),
% 8.18/6.11 inference(unit_resolution,[status(thm)],[18694, 18693, 18687])).
% 8.18/6.11 tff(18696,plain,
% 8.18/6.11 ((((~v90(constB128, bitIndex2)) <=> v129(constB128, bitIndex2)) | ((~v90(constB128, bitIndex1)) <=> v129(constB128, bitIndex1)) | ((~v90(constB128, bitIndex0)) <=> v129(constB128, bitIndex0))) | (~((~v90(constB128, bitIndex1)) <=> v129(constB128, bitIndex1)))),
% 8.18/6.11 inference(tautology,[status(thm)],[])).
% 8.18/6.11 tff(18697,plain,
% 8.18/6.11 (~((~v90(constB128, bitIndex1)) <=> v129(constB128, bitIndex1))),
% 8.18/6.11 inference(unit_resolution,[status(thm)],[18696, 18659])).
% 8.18/6.11 tff(18698,plain,
% 8.18/6.11 (((~v90(constB128, bitIndex1)) <=> v129(constB128, bitIndex1)) | v90(constB128, bitIndex1) | (~v129(constB128, bitIndex1))),
% 8.18/6.11 inference(tautology,[status(thm)],[])).
% 8.18/6.11 tff(18699,plain,
% 8.18/6.11 (v90(constB128, bitIndex1)),
% 8.18/6.11 inference(unit_resolution,[status(thm)],[18698, 18697, 18695])).
% 8.18/6.11 tff(18700,plain,
% 8.18/6.11 (((~v90(constB129, bitIndex1)) <=> v90(constB128, bitIndex1)) | v90(constB129, bitIndex1) | (~v90(constB128, bitIndex1))),
% 8.18/6.11 inference(tautology,[status(thm)],[])).
% 8.18/6.11 tff(18701,plain,
% 8.18/6.11 (v90(constB129, bitIndex1)),
% 8.18/6.11 inference(unit_resolution,[status(thm)],[18700, 18699, 18685])).
% 8.18/6.11 tff(18702,plain,
% 8.18/6.11 ((~(v90(constB129, bitIndex2) | v90(constB129, bitIndex0) | (~v90(constB129, bitIndex1)))) | v90(constB129, bitIndex2) | v90(constB129, bitIndex0) | (~v90(constB129, bitIndex1))),
% 8.18/6.11 inference(tautology,[status(thm)],[])).
% 8.18/6.11 tff(18703,plain,
% 8.18/6.11 (~(v90(constB129, bitIndex2) | v90(constB129, bitIndex0) | (~v90(constB129, bitIndex1)))),
% 8.18/6.11 inference(unit_resolution,[status(thm)],[18702, 18701, 18683, 18665])).
% 8.18/6.11 tff(18704,plain,
% 8.18/6.11 ((~(v121(constB129) <=> (~(v90(constB129, bitIndex2) | v90(constB129, bitIndex0) | (~v90(constB129, bitIndex1)))))) | v121(constB129) | (v90(constB129, bitIndex2) | v90(constB129, bitIndex0) | (~v90(constB129, bitIndex1)))),
% 8.18/6.11 inference(tautology,[status(thm)],[])).
% 8.18/6.11 tff(18705,plain,
% 8.18/6.11 (v121(constB129)),
% 8.18/6.11 inference(unit_resolution,[status(thm)],[18704, 18703, 17116])).
% 8.18/6.11 tff(18706,plain,
% 8.18/6.11 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB129)) | (~(v130(constB129, bitIndex2) | (~v130(constB129, bitIndex1)) | (~v130(constB129, bitIndex0)))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | (~v121(constB129)) | (~(v130(constB129, bitIndex2) | (~v130(constB129, bitIndex1)) | (~v130(constB129, bitIndex0)))))),
% 8.18/6.11 inference(rewrite,[status(thm)],[])).
% 8.18/6.11 tff(18707,plain,
% 8.18/6.11 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB129)) | (~(v130(constB129, bitIndex2) | (~v130(constB129, bitIndex1)) | (~v130(constB129, bitIndex0)))))),
% 8.18/6.11 inference(quant_inst,[status(thm)],[])).
% 8.18/6.11 tff(18708,plain,
% 8.18/6.11 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | (~v121(constB129)) | (~(v130(constB129, bitIndex2) | (~v130(constB129, bitIndex1)) | (~v130(constB129, bitIndex0))))),
% 8.18/6.11 inference(modus_ponens,[status(thm)],[18707, 18706])).
% 8.18/6.11 tff(18709,plain,
% 8.18/6.11 ((~v121(constB129)) | (~(v130(constB129, bitIndex2) | (~v130(constB129, bitIndex1)) | (~v130(constB129, bitIndex0))))),
% 8.18/6.11 inference(unit_resolution,[status(thm)],[18708, 4055])).
% 8.18/6.11 tff(18710,plain,
% 8.18/6.11 (~(v130(constB129, bitIndex2) | (~v130(constB129, bitIndex1)) | (~v130(constB129, bitIndex0)))),
% 8.18/6.11 inference(unit_resolution,[status(thm)],[18709, 18705])).
% 8.18/6.11 tff(18711,plain,
% 8.18/6.11 ((v130(constB129, bitIndex2) | (~v130(constB129, bitIndex1)) | (~v130(constB129, bitIndex0))) | (~v130(constB129, bitIndex2))),
% 8.18/6.11 inference(tautology,[status(thm)],[])).
% 8.18/6.11 tff(18712,plain,
% 8.18/6.11 (~v130(constB129, bitIndex2)),
% 8.18/6.11 inference(unit_resolution,[status(thm)],[18711, 18710])).
% 8.18/6.11 tff(18713,plain,
% 8.18/6.11 (((~v127(constB129, bitIndex2)) <=> v130(constB129, bitIndex2)) | (~v127(constB129, bitIndex2)) | v130(constB129, bitIndex2)),
% 8.18/6.11 inference(tautology,[status(thm)],[])).
% 8.18/6.11 tff(18714,plain,
% 8.18/6.11 (~v127(constB129, bitIndex2)),
% 8.18/6.12 inference(unit_resolution,[status(thm)],[18713, 18712, 17109])).
% 8.18/6.12 tff(18715,plain,
% 8.18/6.12 (((~v129(constB130, bitIndex2)) <=> v127(constB129, bitIndex2)) | (~v129(constB130, bitIndex2)) | v127(constB129, bitIndex2)),
% 8.18/6.12 inference(tautology,[status(thm)],[])).
% 8.18/6.12 tff(18716,plain,
% 8.18/6.12 (~v129(constB130, bitIndex2)),
% 8.18/6.12 inference(unit_resolution,[status(thm)],[18715, 18714, 17095])).
% 8.18/6.12 tff(18717,plain,
% 8.18/6.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB129, constB130)) | (v100(constB130) <=> (~((~v101(constB130)) | (~v110(constB130))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB129, constB130)) | (v100(constB130) <=> (~((~v101(constB130)) | (~v110(constB130))))))),
% 8.18/6.12 inference(rewrite,[status(thm)],[])).
% 8.18/6.12 tff(18718,plain,
% 8.18/6.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB129, constB130)) | (v100(constB130) <=> (~((~v101(constB130)) | (~v110(constB130))))))),
% 8.18/6.12 inference(quant_inst,[status(thm)],[])).
% 8.18/6.12 tff(18719,plain,
% 8.18/6.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB129, constB130)) | (v100(constB130) <=> (~((~v101(constB130)) | (~v110(constB130)))))),
% 8.18/6.12 inference(modus_ponens,[status(thm)],[18718, 18717])).
% 8.18/6.12 tff(18720,plain,
% 8.18/6.12 (v100(constB130) <=> (~((~v101(constB130)) | (~v110(constB130))))),
% 8.18/6.12 inference(unit_resolution,[status(thm)],[18719, 17089, 445])).
% 8.18/6.12 tff(18721,plain,
% 8.18/6.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB129, constB130)) | (v101(constB130) <=> (~((~v1(constB130)) | (~v102(constB130))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB129, constB130)) | (v101(constB130) <=> (~((~v1(constB130)) | (~v102(constB130))))))),
% 8.18/6.12 inference(rewrite,[status(thm)],[])).
% 8.18/6.12 tff(18722,plain,
% 8.18/6.12 (((~nextState(constB129, constB130)) | (v101(constB130) <=> (~((~v102(constB130)) | (~v1(constB130)))))) <=> ((~nextState(constB129, constB130)) | (v101(constB130) <=> (~((~v1(constB130)) | (~v102(constB130))))))),
% 8.18/6.12 inference(rewrite,[status(thm)],[])).
% 8.18/6.12 tff(18723,plain,
% 8.18/6.12 (((~![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) <=> (~((~v1(constB130)) | (~v102(constB130)))))))),
% 8.18/6.12 inference(monotonicity,[status(thm)],[18722])).
% 8.18/6.12 tff(18724,plain,
% 8.18/6.12 (((~![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) <=> (~((~v1(constB130)) | (~v102(constB130))))))),
% 8.18/6.12 inference(transitivity,[status(thm)],[18723, 18721])).
% 8.18/6.12 tff(18725,plain,
% 8.18/6.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB129, constB130)) | (v101(constB130) <=> (~((~v102(constB130)) | (~v1(constB130))))))),
% 8.18/6.12 inference(quant_inst,[status(thm)],[])).
% 8.18/6.12 tff(18726,plain,
% 8.18/6.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB129, constB130)) | (v101(constB130) <=> (~((~v1(constB130)) | (~v102(constB130)))))),
% 8.18/6.12 inference(modus_ponens,[status(thm)],[18725, 18724])).
% 8.18/6.12 tff(18727,plain,
% 8.18/6.12 (v101(constB130) <=> (~((~v1(constB130)) | (~v102(constB130))))),
% 8.18/6.12 inference(unit_resolution,[status(thm)],[18726, 17089, 465])).
% 8.18/6.12 tff(18728,plain,
% 8.18/6.12 (((~![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)))),
% 8.18/6.12 inference(rewrite,[status(thm)],[])).
% 8.18/6.12 tff(18729,plain,
% 8.18/6.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB129, constB130)) | ((~v102(constB130)) <=> v104(constB130)))),
% 8.18/6.12 inference(quant_inst,[status(thm)],[])).
% 8.18/6.12 tff(18730,plain,
% 8.18/6.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB129, constB130)) | ((~v102(constB130)) <=> v104(constB130))),
% 8.18/6.12 inference(modus_ponens,[status(thm)],[18729, 18728])).
% 8.18/6.12 tff(18731,plain,
% 8.18/6.12 ((~v102(constB130)) <=> v104(constB130)),
% 8.18/6.12 inference(unit_resolution,[status(thm)],[18730, 17089, 3244])).
% 8.18/6.12 tff(18732,plain,
% 8.18/6.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB129, constB130)) | (v104(constB130) <=> v1(constB129)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB129, constB130)) | (v104(constB130) <=> v1(constB129)))),
% 8.18/6.12 inference(rewrite,[status(thm)],[])).
% 8.18/6.12 tff(18733,plain,
% 8.18/6.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB129, constB130)) | (v104(constB130) <=> v1(constB129)))),
% 8.18/6.12 inference(quant_inst,[status(thm)],[])).
% 8.18/6.12 tff(18734,plain,
% 8.18/6.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB129, constB130)) | (v104(constB130) <=> v1(constB129))),
% 8.18/6.12 inference(modus_ponens,[status(thm)],[18733, 18732])).
% 8.18/6.12 tff(18735,plain,
% 8.18/6.12 (v104(constB130) <=> v1(constB129)),
% 8.18/6.12 inference(unit_resolution,[status(thm)],[18734, 17089, 3258])).
% 8.18/6.12 tff(18736,plain,
% 8.18/6.12 ((~(v104(constB130) <=> v1(constB129))) | (~v104(constB130)) | v1(constB129)),
% 8.18/6.12 inference(tautology,[status(thm)],[])).
% 8.18/6.12 tff(18737,plain,
% 8.18/6.12 ((~(v104(constB130) <=> v1(constB129))) | (~v104(constB130))),
% 8.18/6.12 inference(unit_resolution,[status(thm)],[18736, 17133])).
% 8.18/6.12 tff(18738,plain,
% 8.18/6.12 (~v104(constB130)),
% 8.18/6.12 inference(unit_resolution,[status(thm)],[18737, 18735])).
% 8.18/6.12 tff(18739,plain,
% 8.18/6.12 ((~((~v102(constB130)) <=> v104(constB130))) | v102(constB130) | v104(constB130)),
% 8.18/6.12 inference(tautology,[status(thm)],[])).
% 8.18/6.12 tff(18740,plain,
% 8.18/6.12 (v102(constB130)),
% 8.18/6.12 inference(unit_resolution,[status(thm)],[18739, 18738, 18731])).
% 8.18/6.12 tff(18741,plain,
% 8.18/6.12 (v1(constB130) <=> v1(constB130)),
% 8.18/6.12 inference(rewrite,[status(thm)],[])).
% 8.18/6.12 tff(18742,axiom,(v1(constB130)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_130')).
% 8.18/6.12 tff(18743,plain,
% 8.18/6.12 (v1(constB130)),
% 8.18/6.12 inference(modus_ponens,[status(thm)],[18742, 18741])).
% 8.18/6.12 tff(18744,plain,
% 8.18/6.12 ((~((~v1(constB130)) | (~v102(constB130)))) | (~v1(constB130)) | (~v102(constB130))),
% 8.18/6.12 inference(tautology,[status(thm)],[])).
% 8.18/6.12 tff(18745,plain,
% 8.18/6.12 ((~((~v1(constB130)) | (~v102(constB130)))) | (~v102(constB130))),
% 8.18/6.12 inference(unit_resolution,[status(thm)],[18744, 18743])).
% 8.18/6.12 tff(18746,plain,
% 8.18/6.12 (~((~v1(constB130)) | (~v102(constB130)))),
% 8.18/6.12 inference(unit_resolution,[status(thm)],[18745, 18740])).
% 8.18/6.12 tff(18747,plain,
% 8.18/6.12 ((~(v101(constB130) <=> (~((~v1(constB130)) | (~v102(constB130)))))) | v101(constB130) | ((~v1(constB130)) | (~v102(constB130)))),
% 8.18/6.12 inference(tautology,[status(thm)],[])).
% 8.18/6.12 tff(18748,plain,
% 8.18/6.12 (v101(constB130)),
% 8.18/6.12 inference(unit_resolution,[status(thm)],[18747, 18746, 18727])).
% 8.18/6.12 tff(18749,plain,
% 8.18/6.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB129, constB130)) | (v110(constB130) <=> v108(constB129)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB129, constB130)) | (v110(constB130) <=> v108(constB129)))),
% 8.18/6.12 inference(rewrite,[status(thm)],[])).
% 8.18/6.12 tff(18750,plain,
% 8.18/6.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB129, constB130)) | (v110(constB130) <=> v108(constB129)))),
% 8.18/6.12 inference(quant_inst,[status(thm)],[])).
% 8.18/6.12 tff(18751,plain,
% 8.18/6.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB129, constB130)) | (v110(constB130) <=> v108(constB129))),
% 8.18/6.12 inference(modus_ponens,[status(thm)],[18750, 18749])).
% 8.18/6.12 tff(18752,plain,
% 8.18/6.12 (v110(constB130) <=> v108(constB129)),
% 8.18/6.12 inference(unit_resolution,[status(thm)],[18751, 17089, 3285])).
% 8.18/6.12 tff(18753,plain,
% 8.18/6.12 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB129) <=> (v111(constB129) | v112(constB129)))),
% 8.18/6.12 inference(quant_inst,[status(thm)],[])).
% 8.18/6.12 tff(18754,plain,
% 8.18/6.12 (v108(constB129) <=> (v111(constB129) | v112(constB129))),
% 8.18/6.12 inference(unit_resolution,[status(thm)],[18753, 3296])).
% 8.18/6.12 tff(18755,plain,
% 8.18/6.12 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB129) <=> (~((~v113(constB129)) | (~v126(constB129)))))),
% 8.18/6.12 inference(quant_inst,[status(thm)],[])).
% 8.18/6.12 tff(18756,plain,
% 8.18/6.12 (v112(constB129) <=> (~((~v113(constB129)) | (~v126(constB129))))),
% 8.18/6.12 inference(unit_resolution,[status(thm)],[18755, 3308])).
% 8.18/6.12 tff(18757,plain,
% 8.18/6.12 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB129) <=> (v114(constB129) | v125(constB129)))),
% 8.18/6.12 inference(quant_inst,[status(thm)],[])).
% 8.18/6.12 tff(18758,plain,
% 8.18/6.12 (v113(constB129) <=> (v114(constB129) | v125(constB129))),
% 8.18/6.12 inference(unit_resolution,[status(thm)],[18757, 3317])).
% 8.18/6.12 tff(18759,plain,
% 8.18/6.12 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB129) <=> (v115(constB129) | v124(constB129)))),
% 8.18/6.12 inference(quant_inst,[status(thm)],[])).
% 8.18/6.12 tff(18760,plain,
% 8.18/6.12 (v114(constB129) <=> (v115(constB129) | v124(constB129))),
% 8.18/6.12 inference(unit_resolution,[status(thm)],[18759, 3326])).
% 8.18/6.12 tff(18761,plain,
% 8.18/6.12 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB129) <=> (v116(constB129) | v123(constB129)))),
% 8.18/6.12 inference(quant_inst,[status(thm)],[])).
% 8.18/6.12 tff(18762,plain,
% 8.18/6.12 (v115(constB129) <=> (v116(constB129) | v123(constB129))),
% 8.18/6.12 inference(unit_resolution,[status(thm)],[18761, 3335])).
% 8.18/6.12 tff(18763,plain,
% 8.18/6.12 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB129) <=> (v117(constB129) | v122(constB129)))),
% 8.18/6.12 inference(quant_inst,[status(thm)],[])).
% 8.18/6.12 tff(18764,plain,
% 8.18/6.12 (v116(constB129) <=> (v117(constB129) | v122(constB129))),
% 8.18/6.12 inference(unit_resolution,[status(thm)],[18763, 3344])).
% 8.18/6.12 tff(18765,plain,
% 8.18/6.12 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB129) <=> (v118(constB129) | v121(constB129)))),
% 8.18/6.12 inference(quant_inst,[status(thm)],[])).
% 8.18/6.12 tff(18766,plain,
% 8.18/6.12 (v117(constB129) <=> (v118(constB129) | v121(constB129))),
% 8.18/6.12 inference(unit_resolution,[status(thm)],[18765, 3353])).
% 8.18/6.12 tff(18767,plain,
% 8.18/6.12 ((v118(constB129) | v121(constB129)) | (~v121(constB129))),
% 8.18/6.12 inference(tautology,[status(thm)],[])).
% 8.18/6.12 tff(18768,plain,
% 8.18/6.12 (v118(constB129) | v121(constB129)),
% 8.18/6.12 inference(unit_resolution,[status(thm)],[18767, 18705])).
% 8.18/6.12 tff(18769,plain,
% 8.18/6.12 ((~(v117(constB129) <=> (v118(constB129) | v121(constB129)))) | v117(constB129) | (~(v118(constB129) | v121(constB129)))),
% 8.18/6.12 inference(tautology,[status(thm)],[])).
% 8.18/6.12 tff(18770,plain,
% 8.18/6.12 (v117(constB129)),
% 8.18/6.12 inference(unit_resolution,[status(thm)],[18769, 18768, 18766])).
% 8.18/6.12 tff(18771,plain,
% 8.18/6.12 ((v117(constB129) | v122(constB129)) | (~v117(constB129))),
% 8.18/6.12 inference(tautology,[status(thm)],[])).
% 8.18/6.12 tff(18772,plain,
% 8.18/6.12 (v117(constB129) | v122(constB129)),
% 8.18/6.12 inference(unit_resolution,[status(thm)],[18771, 18770])).
% 8.18/6.12 tff(18773,plain,
% 8.18/6.12 ((~(v116(constB129) <=> (v117(constB129) | v122(constB129)))) | v116(constB129) | (~(v117(constB129) | v122(constB129)))),
% 8.18/6.12 inference(tautology,[status(thm)],[])).
% 8.18/6.12 tff(18774,plain,
% 8.18/6.12 (v116(constB129)),
% 8.18/6.12 inference(unit_resolution,[status(thm)],[18773, 18772, 18764])).
% 8.18/6.12 tff(18775,plain,
% 8.18/6.12 ((v116(constB129) | v123(constB129)) | (~v116(constB129))),
% 8.18/6.12 inference(tautology,[status(thm)],[])).
% 8.18/6.12 tff(18776,plain,
% 8.18/6.12 (v116(constB129) | v123(constB129)),
% 8.18/6.12 inference(unit_resolution,[status(thm)],[18775, 18774])).
% 8.18/6.12 tff(18777,plain,
% 8.18/6.12 ((~(v115(constB129) <=> (v116(constB129) | v123(constB129)))) | v115(constB129) | (~(v116(constB129) | v123(constB129)))),
% 8.18/6.12 inference(tautology,[status(thm)],[])).
% 8.18/6.12 tff(18778,plain,
% 8.18/6.12 (v115(constB129)),
% 8.18/6.12 inference(unit_resolution,[status(thm)],[18777, 18776, 18762])).
% 8.18/6.12 tff(18779,plain,
% 8.18/6.12 ((v115(constB129) | v124(constB129)) | (~v115(constB129))),
% 8.18/6.12 inference(tautology,[status(thm)],[])).
% 8.18/6.12 tff(18780,plain,
% 8.18/6.12 (v115(constB129) | v124(constB129)),
% 8.18/6.12 inference(unit_resolution,[status(thm)],[18779, 18778])).
% 8.18/6.12 tff(18781,plain,
% 8.18/6.12 ((~(v114(constB129) <=> (v115(constB129) | v124(constB129)))) | v114(constB129) | (~(v115(constB129) | v124(constB129)))),
% 8.18/6.12 inference(tautology,[status(thm)],[])).
% 8.18/6.12 tff(18782,plain,
% 8.18/6.12 (v114(constB129)),
% 8.18/6.12 inference(unit_resolution,[status(thm)],[18781, 18780, 18760])).
% 8.18/6.12 tff(18783,plain,
% 8.18/6.12 ((v114(constB129) | v125(constB129)) | (~v114(constB129))),
% 8.18/6.12 inference(tautology,[status(thm)],[])).
% 8.18/6.12 tff(18784,plain,
% 8.18/6.12 (v114(constB129) | v125(constB129)),
% 8.18/6.12 inference(unit_resolution,[status(thm)],[18783, 18782])).
% 8.18/6.12 tff(18785,plain,
% 8.18/6.12 ((~(v113(constB129) <=> (v114(constB129) | v125(constB129)))) | v113(constB129) | (~(v114(constB129) | v125(constB129)))),
% 8.18/6.12 inference(tautology,[status(thm)],[])).
% 8.18/6.12 tff(18786,plain,
% 8.18/6.12 (v113(constB129)),
% 8.18/6.12 inference(unit_resolution,[status(thm)],[18785, 18784, 18758])).
% 8.18/6.12 tff(18787,plain,
% 8.18/6.12 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB129)) <=> v111(constB129))),
% 8.18/6.12 inference(quant_inst,[status(thm)],[])).
% 8.18/6.12 tff(18788,plain,
% 8.18/6.12 ((~v126(constB129)) <=> v111(constB129)),
% 8.18/6.12 inference(unit_resolution,[status(thm)],[18787, 3396])).
% 8.18/6.12 tff(18789,plain,
% 8.18/6.12 ((~((~v126(constB129)) <=> v111(constB129))) | v126(constB129) | v111(constB129)),
% 8.18/6.12 inference(tautology,[status(thm)],[])).
% 8.18/6.12 tff(18790,plain,
% 8.18/6.12 ((~((~v126(constB129)) <=> v111(constB129))) | v126(constB129)),
% 8.18/6.12 inference(unit_resolution,[status(thm)],[18789, 17102])).
% 8.18/6.12 tff(18791,plain,
% 8.18/6.12 (v126(constB129)),
% 8.18/6.12 inference(unit_resolution,[status(thm)],[18790, 18788])).
% 8.18/6.12 tff(18792,plain,
% 8.18/6.12 ((~((~v113(constB129)) | (~v126(constB129)))) | (~v113(constB129)) | (~v126(constB129))),
% 8.18/6.12 inference(tautology,[status(thm)],[])).
% 8.18/6.12 tff(18793,plain,
% 8.18/6.12 ((~((~v113(constB129)) | (~v126(constB129)))) | (~v113(constB129))),
% 8.18/6.12 inference(unit_resolution,[status(thm)],[18792, 18791])).
% 8.18/6.12 tff(18794,plain,
% 8.18/6.12 (~((~v113(constB129)) | (~v126(constB129)))),
% 8.18/6.12 inference(unit_resolution,[status(thm)],[18793, 18786])).
% 8.18/6.12 tff(18795,plain,
% 8.18/6.12 ((~(v112(constB129) <=> (~((~v113(constB129)) | (~v126(constB129)))))) | v112(constB129) | ((~v113(constB129)) | (~v126(constB129)))),
% 8.18/6.12 inference(tautology,[status(thm)],[])).
% 8.18/6.12 tff(18796,plain,
% 8.18/6.12 (v112(constB129)),
% 8.18/6.12 inference(unit_resolution,[status(thm)],[18795, 18794, 18756])).
% 8.18/6.12 tff(18797,plain,
% 8.18/6.12 ((v111(constB129) | v112(constB129)) | (~v112(constB129))),
% 8.18/6.12 inference(tautology,[status(thm)],[])).
% 8.18/6.12 tff(18798,plain,
% 8.18/6.12 (v111(constB129) | v112(constB129)),
% 8.18/6.12 inference(unit_resolution,[status(thm)],[18797, 18796])).
% 8.18/6.12 tff(18799,plain,
% 8.18/6.12 ((~(v108(constB129) <=> (v111(constB129) | v112(constB129)))) | v108(constB129) | (~(v111(constB129) | v112(constB129)))),
% 8.18/6.12 inference(tautology,[status(thm)],[])).
% 8.18/6.12 tff(18800,plain,
% 8.18/6.12 (v108(constB129)),
% 8.18/6.12 inference(unit_resolution,[status(thm)],[18799, 18798, 18754])).
% 8.18/6.12 tff(18801,plain,
% 8.18/6.12 ((~(v110(constB130) <=> v108(constB129))) | v110(constB130) | (~v108(constB129))),
% 8.18/6.12 inference(tautology,[status(thm)],[])).
% 8.18/6.12 tff(18802,plain,
% 8.18/6.12 (v110(constB130)),
% 8.18/6.12 inference(unit_resolution,[status(thm)],[18801, 18800, 18752])).
% 8.18/6.12 tff(18803,plain,
% 8.18/6.12 ((~((~v101(constB130)) | (~v110(constB130)))) | (~v101(constB130)) | (~v110(constB130))),
% 8.18/6.12 inference(tautology,[status(thm)],[])).
% 8.18/6.12 tff(18804,plain,
% 8.18/6.12 (~((~v101(constB130)) | (~v110(constB130)))),
% 8.18/6.12 inference(unit_resolution,[status(thm)],[18803, 18802, 18748])).
% 8.18/6.12 tff(18805,plain,
% 8.18/6.12 ((~(v100(constB130) <=> (~((~v101(constB130)) | (~v110(constB130)))))) | v100(constB130) | ((~v101(constB130)) | (~v110(constB130)))),
% 8.18/6.12 inference(tautology,[status(thm)],[])).
% 8.18/6.12 tff(18806,plain,
% 8.18/6.12 (v100(constB130)),
% 8.18/6.12 inference(unit_resolution,[status(thm)],[18805, 18804, 18720])).
% 8.18/6.12 tff(18807,plain,
% 8.18/6.12 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB130)) | (~(((~v90(constB130, bitIndex0)) <=> v129(constB130, bitIndex0)) | ((~v90(constB130, bitIndex2)) <=> v129(constB130, bitIndex2)) | ((~v90(constB130, bitIndex1)) <=> v129(constB130, bitIndex1)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB130)) | (~(((~v90(constB130, bitIndex0)) <=> v129(constB130, bitIndex0)) | ((~v90(constB130, bitIndex2)) <=> v129(constB130, bitIndex2)) | ((~v90(constB130, bitIndex1)) <=> v129(constB130, bitIndex1)))))),
% 8.18/6.12 inference(rewrite,[status(thm)],[])).
% 8.18/6.12 tff(18808,plain,
% 8.18/6.12 (((~v100(constB130)) | (~(((~v90(constB130, bitIndex2)) <=> v129(constB130, bitIndex2)) | ((~v90(constB130, bitIndex1)) <=> v129(constB130, bitIndex1)) | ((~v90(constB130, bitIndex0)) <=> v129(constB130, bitIndex0))))) <=> ((~v100(constB130)) | (~(((~v90(constB130, bitIndex0)) <=> v129(constB130, bitIndex0)) | ((~v90(constB130, bitIndex2)) <=> v129(constB130, bitIndex2)) | ((~v90(constB130, bitIndex1)) <=> v129(constB130, bitIndex1)))))),
% 8.18/6.12 inference(rewrite,[status(thm)],[])).
% 8.18/6.12 tff(18809,plain,
% 8.18/6.12 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB130)) | (~(((~v90(constB130, bitIndex2)) <=> v129(constB130, bitIndex2)) | ((~v90(constB130, bitIndex1)) <=> v129(constB130, bitIndex1)) | ((~v90(constB130, bitIndex0)) <=> v129(constB130, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB130)) | (~(((~v90(constB130, bitIndex0)) <=> v129(constB130, bitIndex0)) | ((~v90(constB130, bitIndex2)) <=> v129(constB130, bitIndex2)) | ((~v90(constB130, bitIndex1)) <=> v129(constB130, bitIndex1))))))),
% 8.18/6.12 inference(monotonicity,[status(thm)],[18808])).
% 8.18/6.12 tff(18810,plain,
% 8.18/6.12 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB130)) | (~(((~v90(constB130, bitIndex2)) <=> v129(constB130, bitIndex2)) | ((~v90(constB130, bitIndex1)) <=> v129(constB130, bitIndex1)) | ((~v90(constB130, bitIndex0)) <=> v129(constB130, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB130)) | (~(((~v90(constB130, bitIndex0)) <=> v129(constB130, bitIndex0)) | ((~v90(constB130, bitIndex2)) <=> v129(constB130, bitIndex2)) | ((~v90(constB130, bitIndex1)) <=> v129(constB130, bitIndex1)))))),
% 8.18/6.12 inference(transitivity,[status(thm)],[18809, 18807])).
% 8.18/6.12 tff(18811,plain,
% 8.18/6.12 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB130)) | (~(((~v90(constB130, bitIndex2)) <=> v129(constB130, bitIndex2)) | ((~v90(constB130, bitIndex1)) <=> v129(constB130, bitIndex1)) | ((~v90(constB130, bitIndex0)) <=> v129(constB130, bitIndex0)))))),
% 8.18/6.12 inference(quant_inst,[status(thm)],[])).
% 8.18/6.12 tff(18812,plain,
% 8.18/6.12 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB130)) | (~(((~v90(constB130, bitIndex0)) <=> v129(constB130, bitIndex0)) | ((~v90(constB130, bitIndex2)) <=> v129(constB130, bitIndex2)) | ((~v90(constB130, bitIndex1)) <=> v129(constB130, bitIndex1))))),
% 8.18/6.12 inference(modus_ponens,[status(thm)],[18811, 18810])).
% 8.18/6.12 tff(18813,plain,
% 8.18/6.12 ((~v100(constB130)) | (~(((~v90(constB130, bitIndex0)) <=> v129(constB130, bitIndex0)) | ((~v90(constB130, bitIndex2)) <=> v129(constB130, bitIndex2)) | ((~v90(constB130, bitIndex1)) <=> v129(constB130, bitIndex1))))),
% 8.18/6.12 inference(unit_resolution,[status(thm)],[18812, 3429])).
% 8.18/6.12 tff(18814,plain,
% 8.18/6.12 (~(((~v90(constB130, bitIndex0)) <=> v129(constB130, bitIndex0)) | ((~v90(constB130, bitIndex2)) <=> v129(constB130, bitIndex2)) | ((~v90(constB130, bitIndex1)) <=> v129(constB130, bitIndex1)))),
% 8.18/6.12 inference(unit_resolution,[status(thm)],[18813, 18806])).
% 8.18/6.12 tff(18815,plain,
% 8.18/6.12 ((((~v90(constB130, bitIndex0)) <=> v129(constB130, bitIndex0)) | ((~v90(constB130, bitIndex2)) <=> v129(constB130, bitIndex2)) | ((~v90(constB130, bitIndex1)) <=> v129(constB130, bitIndex1))) | (~((~v90(constB130, bitIndex2)) <=> v129(constB130, bitIndex2)))),
% 8.18/6.12 inference(tautology,[status(thm)],[])).
% 8.18/6.12 tff(18816,plain,
% 8.18/6.12 (~((~v90(constB130, bitIndex2)) <=> v129(constB130, bitIndex2))),
% 8.18/6.12 inference(unit_resolution,[status(thm)],[18815, 18814])).
% 8.18/6.12 tff(18817,plain,
% 8.18/6.12 (((~v90(constB130, bitIndex2)) <=> v129(constB130, bitIndex2)) | (~v90(constB130, bitIndex2)) | v129(constB130, bitIndex2)),
% 8.18/6.12 inference(tautology,[status(thm)],[])).
% 8.18/6.12 tff(18818,plain,
% 8.18/6.12 (~v90(constB130, bitIndex2)),
% 8.18/6.12 inference(unit_resolution,[status(thm)],[18817, 18816, 18716])).
% 8.18/6.12 tff(18819,plain,
% 8.18/6.12 (((~v90(constB131, bitIndex2)) <=> v90(constB130, bitIndex2)) | (~v90(constB131, bitIndex2)) | v90(constB130, bitIndex2)),
% 8.18/6.12 inference(tautology,[status(thm)],[])).
% 8.18/6.12 tff(18820,plain,
% 8.18/6.12 (~v90(constB131, bitIndex2)),
% 8.18/6.12 inference(unit_resolution,[status(thm)],[18819, 18818, 17086])).
% 8.18/6.12 tff(18821,plain,
% 8.18/6.12 ((((~v90(constB131, bitIndex1)) <=> v90(constB130, bitIndex1)) | ((~v90(constB131, bitIndex2)) <=> v90(constB130, bitIndex2)) | ((~v90(constB131, bitIndex0)) <=> v90(constB130, bitIndex0))) | (~((~v90(constB131, bitIndex0)) <=> v90(constB130, bitIndex0)))),
% 8.18/6.12 inference(tautology,[status(thm)],[])).
% 8.18/6.12 tff(18822,plain,
% 8.18/6.12 (~((~v90(constB131, bitIndex0)) <=> v90(constB130, bitIndex0))),
% 8.18/6.12 inference(unit_resolution,[status(thm)],[18821, 17084])).
% 8.18/6.12 tff(18823,plain,
% 8.18/6.12 ((((~v129(constB130, bitIndex2)) <=> v127(constB129, bitIndex2)) | ((~v129(constB130, bitIndex1)) <=> v127(constB129, bitIndex1)) | ((~v129(constB130, bitIndex0)) <=> v127(constB129, bitIndex0))) | (~((~v129(constB130, bitIndex0)) <=> v127(constB129, bitIndex0)))),
% 8.18/6.12 inference(tautology,[status(thm)],[])).
% 8.18/6.12 tff(18824,plain,
% 8.18/6.12 (~((~v129(constB130, bitIndex0)) <=> v127(constB129, bitIndex0))),
% 8.18/6.12 inference(unit_resolution,[status(thm)],[18823, 17093])).
% 8.18/6.12 tff(18825,plain,
% 8.18/6.12 ((((~v127(constB129, bitIndex2)) <=> v130(constB129, bitIndex2)) | ((~v127(constB129, bitIndex1)) <=> v130(constB129, bitIndex1)) | ((~v127(constB129, bitIndex0)) <=> v130(constB129, bitIndex0))) | (~((~v127(constB129, bitIndex0)) <=> v130(constB129, bitIndex0)))),
% 8.18/6.12 inference(tautology,[status(thm)],[])).
% 8.18/6.12 tff(18826,plain,
% 8.18/6.12 (~((~v127(constB129, bitIndex0)) <=> v130(constB129, bitIndex0))),
% 8.18/6.12 inference(unit_resolution,[status(thm)],[18825, 17107])).
% 8.18/6.12 tff(18827,plain,
% 8.18/6.12 ((v130(constB129, bitIndex2) | (~v130(constB129, bitIndex1)) | (~v130(constB129, bitIndex0))) | v130(constB129, bitIndex0)),
% 8.18/6.12 inference(tautology,[status(thm)],[])).
% 8.18/6.12 tff(18828,plain,
% 8.18/6.12 (v130(constB129, bitIndex0)),
% 8.18/6.12 inference(unit_resolution,[status(thm)],[18827, 18710])).
% 8.18/6.12 tff(18829,plain,
% 8.18/6.12 (((~v127(constB129, bitIndex0)) <=> v130(constB129, bitIndex0)) | v127(constB129, bitIndex0) | (~v130(constB129, bitIndex0))),
% 8.18/6.12 inference(tautology,[status(thm)],[])).
% 8.18/6.12 tff(18830,plain,
% 8.18/6.12 (v127(constB129, bitIndex0)),
% 8.18/6.12 inference(unit_resolution,[status(thm)],[18829, 18828, 18826])).
% 8.18/6.12 tff(18831,plain,
% 8.18/6.12 (((~v129(constB130, bitIndex0)) <=> v127(constB129, bitIndex0)) | v129(constB130, bitIndex0) | (~v127(constB129, bitIndex0))),
% 8.18/6.12 inference(tautology,[status(thm)],[])).
% 8.18/6.12 tff(18832,plain,
% 8.18/6.12 (v129(constB130, bitIndex0)),
% 8.18/6.12 inference(unit_resolution,[status(thm)],[18831, 18830, 18824])).
% 8.18/6.12 tff(18833,plain,
% 8.18/6.12 ((((~v90(constB130, bitIndex0)) <=> v129(constB130, bitIndex0)) | ((~v90(constB130, bitIndex2)) <=> v129(constB130, bitIndex2)) | ((~v90(constB130, bitIndex1)) <=> v129(constB130, bitIndex1))) | (~((~v90(constB130, bitIndex0)) <=> v129(constB130, bitIndex0)))),
% 8.18/6.12 inference(tautology,[status(thm)],[])).
% 8.18/6.12 tff(18834,plain,
% 8.18/6.12 (~((~v90(constB130, bitIndex0)) <=> v129(constB130, bitIndex0))),
% 8.18/6.12 inference(unit_resolution,[status(thm)],[18833, 18814])).
% 8.18/6.12 tff(18835,plain,
% 8.18/6.12 (((~v90(constB130, bitIndex0)) <=> v129(constB130, bitIndex0)) | v90(constB130, bitIndex0) | (~v129(constB130, bitIndex0))),
% 8.18/6.12 inference(tautology,[status(thm)],[])).
% 8.18/6.12 tff(18836,plain,
% 8.18/6.12 (v90(constB130, bitIndex0)),
% 8.18/6.12 inference(unit_resolution,[status(thm)],[18835, 18834, 18832])).
% 8.18/6.12 tff(18837,plain,
% 8.18/6.12 (((~v90(constB131, bitIndex0)) <=> v90(constB130, bitIndex0)) | v90(constB131, bitIndex0) | (~v90(constB130, bitIndex0))),
% 8.18/6.12 inference(tautology,[status(thm)],[])).
% 8.18/6.12 tff(18838,plain,
% 8.18/6.12 (v90(constB131, bitIndex0)),
% 8.18/6.12 inference(unit_resolution,[status(thm)],[18837, 18836, 18822])).
% 8.18/6.12 tff(18839,plain,
% 8.18/6.12 ((((~v90(constB131, bitIndex1)) <=> v90(constB130, bitIndex1)) | ((~v90(constB131, bitIndex2)) <=> v90(constB130, bitIndex2)) | ((~v90(constB131, bitIndex0)) <=> v90(constB130, bitIndex0))) | (~((~v90(constB131, bitIndex1)) <=> v90(constB130, bitIndex1)))),
% 8.18/6.12 inference(tautology,[status(thm)],[])).
% 8.18/6.12 tff(18840,plain,
% 8.18/6.12 (~((~v90(constB131, bitIndex1)) <=> v90(constB130, bitIndex1))),
% 8.18/6.12 inference(unit_resolution,[status(thm)],[18839, 17084])).
% 8.18/6.12 tff(18841,plain,
% 8.18/6.12 ((((~v129(constB130, bitIndex2)) <=> v127(constB129, bitIndex2)) | ((~v129(constB130, bitIndex1)) <=> v127(constB129, bitIndex1)) | ((~v129(constB130, bitIndex0)) <=> v127(constB129, bitIndex0))) | (~((~v129(constB130, bitIndex1)) <=> v127(constB129, bitIndex1)))),
% 8.18/6.12 inference(tautology,[status(thm)],[])).
% 8.18/6.12 tff(18842,plain,
% 8.18/6.12 (~((~v129(constB130, bitIndex1)) <=> v127(constB129, bitIndex1))),
% 8.18/6.12 inference(unit_resolution,[status(thm)],[18841, 17093])).
% 8.18/6.12 tff(18843,plain,
% 8.18/6.12 ((((~v127(constB129, bitIndex2)) <=> v130(constB129, bitIndex2)) | ((~v127(constB129, bitIndex1)) <=> v130(constB129, bitIndex1)) | ((~v127(constB129, bitIndex0)) <=> v130(constB129, bitIndex0))) | (~((~v127(constB129, bitIndex1)) <=> v130(constB129, bitIndex1)))),
% 8.18/6.12 inference(tautology,[status(thm)],[])).
% 8.18/6.12 tff(18844,plain,
% 8.18/6.12 (~((~v127(constB129, bitIndex1)) <=> v130(constB129, bitIndex1))),
% 8.18/6.12 inference(unit_resolution,[status(thm)],[18843, 17107])).
% 8.18/6.12 tff(18845,plain,
% 8.18/6.12 ((v130(constB129, bitIndex2) | (~v130(constB129, bitIndex1)) | (~v130(constB129, bitIndex0))) | v130(constB129, bitIndex1)),
% 8.18/6.12 inference(tautology,[status(thm)],[])).
% 8.18/6.12 tff(18846,plain,
% 8.18/6.12 (v130(constB129, bitIndex1)),
% 8.18/6.12 inference(unit_resolution,[status(thm)],[18845, 18710])).
% 8.18/6.12 tff(18847,plain,
% 8.18/6.12 (((~v127(constB129, bitIndex1)) <=> v130(constB129, bitIndex1)) | v127(constB129, bitIndex1) | (~v130(constB129, bitIndex1))),
% 8.18/6.12 inference(tautology,[status(thm)],[])).
% 8.18/6.12 tff(18848,plain,
% 8.18/6.12 (v127(constB129, bitIndex1)),
% 8.18/6.12 inference(unit_resolution,[status(thm)],[18847, 18846, 18844])).
% 8.18/6.12 tff(18849,plain,
% 8.18/6.12 (((~v129(constB130, bitIndex1)) <=> v127(constB129, bitIndex1)) | v129(constB130, bitIndex1) | (~v127(constB129, bitIndex1))),
% 8.18/6.12 inference(tautology,[status(thm)],[])).
% 8.18/6.12 tff(18850,plain,
% 8.18/6.12 (v129(constB130, bitIndex1)),
% 8.18/6.12 inference(unit_resolution,[status(thm)],[18849, 18848, 18842])).
% 8.18/6.12 tff(18851,plain,
% 8.18/6.12 ((((~v90(constB130, bitIndex0)) <=> v129(constB130, bitIndex0)) | ((~v90(constB130, bitIndex2)) <=> v129(constB130, bitIndex2)) | ((~v90(constB130, bitIndex1)) <=> v129(constB130, bitIndex1))) | (~((~v90(constB130, bitIndex1)) <=> v129(constB130, bitIndex1)))),
% 8.18/6.12 inference(tautology,[status(thm)],[])).
% 8.18/6.12 tff(18852,plain,
% 8.18/6.12 (~((~v90(constB130, bitIndex1)) <=> v129(constB130, bitIndex1))),
% 8.18/6.12 inference(unit_resolution,[status(thm)],[18851, 18814])).
% 8.18/6.12 tff(18853,plain,
% 8.18/6.12 (((~v90(constB130, bitIndex1)) <=> v129(constB130, bitIndex1)) | v90(constB130, bitIndex1) | (~v129(constB130, bitIndex1))),
% 8.18/6.12 inference(tautology,[status(thm)],[])).
% 8.18/6.12 tff(18854,plain,
% 8.18/6.12 (v90(constB130, bitIndex1)),
% 8.18/6.12 inference(unit_resolution,[status(thm)],[18853, 18852, 18850])).
% 8.18/6.12 tff(18855,plain,
% 8.18/6.12 (((~v90(constB131, bitIndex1)) <=> v90(constB130, bitIndex1)) | v90(constB131, bitIndex1) | (~v90(constB130, bitIndex1))),
% 8.18/6.12 inference(tautology,[status(thm)],[])).
% 8.18/6.12 tff(18856,plain,
% 8.18/6.12 (v90(constB131, bitIndex1)),
% 8.18/6.12 inference(unit_resolution,[status(thm)],[18855, 18854, 18840])).
% 8.18/6.12 tff(18857,plain,
% 8.18/6.12 ((~(v90(constB131, bitIndex2) | (~v90(constB131, bitIndex1)) | (~v90(constB131, bitIndex0)))) | v90(constB131, bitIndex2) | (~v90(constB131, bitIndex1)) | (~v90(constB131, bitIndex0))),
% 8.18/6.12 inference(tautology,[status(thm)],[])).
% 8.18/6.12 tff(18858,plain,
% 8.18/6.12 (~(v90(constB131, bitIndex2) | (~v90(constB131, bitIndex1)) | (~v90(constB131, bitIndex0)))),
% 8.18/6.12 inference(unit_resolution,[status(thm)],[18857, 18856, 18838, 18820])).
% 8.18/6.12 tff(18859,plain,
% 8.18/6.12 ((~(v122(constB131) <=> (~(v90(constB131, bitIndex2) | (~v90(constB131, bitIndex1)) | (~v90(constB131, bitIndex0)))))) | v122(constB131) | (v90(constB131, bitIndex2) | (~v90(constB131, bitIndex1)) | (~v90(constB131, bitIndex0)))),
% 8.18/6.12 inference(tautology,[status(thm)],[])).
% 8.18/6.12 tff(18860,plain,
% 8.18/6.12 (v122(constB131)),
% 8.18/6.12 inference(unit_resolution,[status(thm)],[18859, 18858, 17050])).
% 8.18/6.12 tff(18861,plain,
% 8.18/6.12 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB131)) | (~(v130(constB131, bitIndex1) | v130(constB131, bitIndex0) | (~v130(constB131, bitIndex2)))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | (~v122(constB131)) | (~(v130(constB131, bitIndex1) | v130(constB131, bitIndex0) | (~v130(constB131, bitIndex2)))))),
% 8.18/6.12 inference(rewrite,[status(thm)],[])).
% 8.18/6.12 tff(18862,plain,
% 8.18/6.12 (((~v122(constB131)) | (~(v130(constB131, bitIndex0) | v130(constB131, bitIndex1) | (~v130(constB131, bitIndex2))))) <=> ((~v122(constB131)) | (~(v130(constB131, bitIndex1) | v130(constB131, bitIndex0) | (~v130(constB131, bitIndex2)))))),
% 8.18/6.12 inference(rewrite,[status(thm)],[])).
% 8.18/6.12 tff(18863,plain,
% 8.18/6.12 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB131)) | (~(v130(constB131, bitIndex0) | v130(constB131, bitIndex1) | (~v130(constB131, bitIndex2)))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB131)) | (~(v130(constB131, bitIndex1) | v130(constB131, bitIndex0) | (~v130(constB131, bitIndex2))))))),
% 8.18/6.12 inference(monotonicity,[status(thm)],[18862])).
% 8.18/6.12 tff(18864,plain,
% 8.18/6.12 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB131)) | (~(v130(constB131, bitIndex0) | v130(constB131, bitIndex1) | (~v130(constB131, bitIndex2)))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | (~v122(constB131)) | (~(v130(constB131, bitIndex1) | v130(constB131, bitIndex0) | (~v130(constB131, bitIndex2)))))),
% 8.18/6.13 inference(transitivity,[status(thm)],[18863, 18861])).
% 8.18/6.13 tff(18865,plain,
% 8.18/6.13 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB131)) | (~(v130(constB131, bitIndex0) | v130(constB131, bitIndex1) | (~v130(constB131, bitIndex2)))))),
% 8.18/6.13 inference(quant_inst,[status(thm)],[])).
% 8.18/6.13 tff(18866,plain,
% 8.18/6.13 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | (~v122(constB131)) | (~(v130(constB131, bitIndex1) | v130(constB131, bitIndex0) | (~v130(constB131, bitIndex2))))),
% 8.18/6.13 inference(modus_ponens,[status(thm)],[18865, 18864])).
% 8.18/6.13 tff(18867,plain,
% 8.18/6.13 ((~v122(constB131)) | (~(v130(constB131, bitIndex1) | v130(constB131, bitIndex0) | (~v130(constB131, bitIndex2))))),
% 8.18/6.13 inference(unit_resolution,[status(thm)],[18866, 4223])).
% 8.18/6.13 tff(18868,plain,
% 8.18/6.13 (~(v130(constB131, bitIndex1) | v130(constB131, bitIndex0) | (~v130(constB131, bitIndex2)))),
% 8.18/6.13 inference(unit_resolution,[status(thm)],[18867, 18860])).
% 8.18/6.13 tff(18869,plain,
% 8.18/6.13 ((v130(constB131, bitIndex1) | v130(constB131, bitIndex0) | (~v130(constB131, bitIndex2))) | v130(constB131, bitIndex2)),
% 8.18/6.13 inference(tautology,[status(thm)],[])).
% 8.18/6.13 tff(18870,plain,
% 8.18/6.13 (v130(constB131, bitIndex2)),
% 8.18/6.13 inference(unit_resolution,[status(thm)],[18869, 18868])).
% 8.18/6.13 tff(18871,plain,
% 8.18/6.13 (((~v127(constB131, bitIndex2)) <=> v130(constB131, bitIndex2)) | v127(constB131, bitIndex2) | (~v130(constB131, bitIndex2))),
% 8.18/6.13 inference(tautology,[status(thm)],[])).
% 8.18/6.13 tff(18872,plain,
% 8.18/6.13 (v127(constB131, bitIndex2)),
% 8.18/6.13 inference(unit_resolution,[status(thm)],[18871, 18870, 17043])).
% 8.18/6.13 tff(18873,plain,
% 8.18/6.13 (((~v129(constB132, bitIndex2)) <=> v127(constB131, bitIndex2)) | v129(constB132, bitIndex2) | (~v127(constB131, bitIndex2))),
% 8.18/6.13 inference(tautology,[status(thm)],[])).
% 8.18/6.13 tff(18874,plain,
% 8.18/6.13 (v129(constB132, bitIndex2)),
% 8.18/6.13 inference(unit_resolution,[status(thm)],[18873, 18872, 17029])).
% 8.18/6.13 tff(18875,plain,
% 8.18/6.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB131, constB132)) | (v100(constB132) <=> (~((~v101(constB132)) | (~v110(constB132))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB131, constB132)) | (v100(constB132) <=> (~((~v101(constB132)) | (~v110(constB132))))))),
% 8.18/6.13 inference(rewrite,[status(thm)],[])).
% 8.18/6.13 tff(18876,plain,
% 8.18/6.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB131, constB132)) | (v100(constB132) <=> (~((~v101(constB132)) | (~v110(constB132))))))),
% 8.18/6.13 inference(quant_inst,[status(thm)],[])).
% 8.18/6.13 tff(18877,plain,
% 8.18/6.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB131, constB132)) | (v100(constB132) <=> (~((~v101(constB132)) | (~v110(constB132)))))),
% 8.18/6.13 inference(modus_ponens,[status(thm)],[18876, 18875])).
% 8.18/6.13 tff(18878,plain,
% 8.18/6.13 (v100(constB132) <=> (~((~v101(constB132)) | (~v110(constB132))))),
% 8.18/6.13 inference(unit_resolution,[status(thm)],[18877, 17023, 445])).
% 8.18/6.13 tff(18879,plain,
% 8.18/6.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB131, constB132)) | (v101(constB132) <=> (~((~v1(constB132)) | (~v102(constB132))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB131, constB132)) | (v101(constB132) <=> (~((~v1(constB132)) | (~v102(constB132))))))),
% 8.18/6.13 inference(rewrite,[status(thm)],[])).
% 8.18/6.13 tff(18880,plain,
% 8.18/6.13 (((~nextState(constB131, constB132)) | (v101(constB132) <=> (~((~v102(constB132)) | (~v1(constB132)))))) <=> ((~nextState(constB131, constB132)) | (v101(constB132) <=> (~((~v1(constB132)) | (~v102(constB132))))))),
% 8.18/6.13 inference(rewrite,[status(thm)],[])).
% 8.18/6.13 tff(18881,plain,
% 8.18/6.13 (((~![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) <=> (~((~v1(constB132)) | (~v102(constB132)))))))),
% 8.18/6.13 inference(monotonicity,[status(thm)],[18880])).
% 8.18/6.13 tff(18882,plain,
% 8.18/6.13 (((~![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) <=> (~((~v1(constB132)) | (~v102(constB132))))))),
% 8.18/6.13 inference(transitivity,[status(thm)],[18881, 18879])).
% 8.18/6.13 tff(18883,plain,
% 8.18/6.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB131, constB132)) | (v101(constB132) <=> (~((~v102(constB132)) | (~v1(constB132))))))),
% 8.18/6.13 inference(quant_inst,[status(thm)],[])).
% 8.18/6.13 tff(18884,plain,
% 8.18/6.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB131, constB132)) | (v101(constB132) <=> (~((~v1(constB132)) | (~v102(constB132)))))),
% 8.18/6.13 inference(modus_ponens,[status(thm)],[18883, 18882])).
% 8.18/6.13 tff(18885,plain,
% 8.18/6.13 (v101(constB132) <=> (~((~v1(constB132)) | (~v102(constB132))))),
% 8.18/6.13 inference(unit_resolution,[status(thm)],[18884, 17023, 465])).
% 8.18/6.13 tff(18886,plain,
% 8.18/6.13 (((~![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)))),
% 8.18/6.13 inference(rewrite,[status(thm)],[])).
% 8.18/6.13 tff(18887,plain,
% 8.18/6.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB131, constB132)) | ((~v102(constB132)) <=> v104(constB132)))),
% 8.18/6.13 inference(quant_inst,[status(thm)],[])).
% 8.18/6.13 tff(18888,plain,
% 8.18/6.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB131, constB132)) | ((~v102(constB132)) <=> v104(constB132))),
% 8.18/6.13 inference(modus_ponens,[status(thm)],[18887, 18886])).
% 8.18/6.13 tff(18889,plain,
% 8.18/6.13 ((~v102(constB132)) <=> v104(constB132)),
% 8.18/6.13 inference(unit_resolution,[status(thm)],[18888, 17023, 3244])).
% 8.18/6.13 tff(18890,plain,
% 8.18/6.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB131, constB132)) | (v104(constB132) <=> v1(constB131)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB131, constB132)) | (v104(constB132) <=> v1(constB131)))),
% 8.18/6.13 inference(rewrite,[status(thm)],[])).
% 8.18/6.13 tff(18891,plain,
% 8.18/6.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB131, constB132)) | (v104(constB132) <=> v1(constB131)))),
% 8.18/6.13 inference(quant_inst,[status(thm)],[])).
% 8.18/6.13 tff(18892,plain,
% 8.18/6.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB131, constB132)) | (v104(constB132) <=> v1(constB131))),
% 8.18/6.13 inference(modus_ponens,[status(thm)],[18891, 18890])).
% 8.18/6.13 tff(18893,plain,
% 8.18/6.13 (v104(constB132) <=> v1(constB131)),
% 8.18/6.13 inference(unit_resolution,[status(thm)],[18892, 17023, 3258])).
% 8.18/6.13 tff(18894,plain,
% 8.18/6.13 ((~(v104(constB132) <=> v1(constB131))) | (~v104(constB132)) | v1(constB131)),
% 8.18/6.13 inference(tautology,[status(thm)],[])).
% 8.18/6.13 tff(18895,plain,
% 8.18/6.13 ((~(v104(constB132) <=> v1(constB131))) | (~v104(constB132))),
% 8.18/6.13 inference(unit_resolution,[status(thm)],[18894, 17067])).
% 8.18/6.13 tff(18896,plain,
% 8.18/6.13 (~v104(constB132)),
% 8.18/6.13 inference(unit_resolution,[status(thm)],[18895, 18893])).
% 8.18/6.13 tff(18897,plain,
% 8.18/6.13 ((~((~v102(constB132)) <=> v104(constB132))) | v102(constB132) | v104(constB132)),
% 8.18/6.13 inference(tautology,[status(thm)],[])).
% 8.18/6.13 tff(18898,plain,
% 8.18/6.13 (v102(constB132)),
% 8.18/6.13 inference(unit_resolution,[status(thm)],[18897, 18896, 18889])).
% 8.18/6.13 tff(18899,plain,
% 8.18/6.13 (v1(constB132) <=> v1(constB132)),
% 8.18/6.13 inference(rewrite,[status(thm)],[])).
% 8.18/6.13 tff(18900,axiom,(v1(constB132)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_132')).
% 8.18/6.13 tff(18901,plain,
% 8.18/6.13 (v1(constB132)),
% 8.18/6.13 inference(modus_ponens,[status(thm)],[18900, 18899])).
% 8.18/6.13 tff(18902,plain,
% 8.18/6.13 ((~((~v1(constB132)) | (~v102(constB132)))) | (~v1(constB132)) | (~v102(constB132))),
% 8.18/6.13 inference(tautology,[status(thm)],[])).
% 8.18/6.13 tff(18903,plain,
% 8.18/6.13 ((~((~v1(constB132)) | (~v102(constB132)))) | (~v102(constB132))),
% 8.18/6.13 inference(unit_resolution,[status(thm)],[18902, 18901])).
% 8.18/6.13 tff(18904,plain,
% 8.18/6.13 (~((~v1(constB132)) | (~v102(constB132)))),
% 8.18/6.13 inference(unit_resolution,[status(thm)],[18903, 18898])).
% 8.18/6.13 tff(18905,plain,
% 8.18/6.13 ((~(v101(constB132) <=> (~((~v1(constB132)) | (~v102(constB132)))))) | v101(constB132) | ((~v1(constB132)) | (~v102(constB132)))),
% 8.18/6.13 inference(tautology,[status(thm)],[])).
% 8.18/6.13 tff(18906,plain,
% 8.18/6.13 (v101(constB132)),
% 8.18/6.13 inference(unit_resolution,[status(thm)],[18905, 18904, 18885])).
% 8.18/6.13 tff(18907,plain,
% 8.18/6.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB131, constB132)) | (v110(constB132) <=> v108(constB131)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB131, constB132)) | (v110(constB132) <=> v108(constB131)))),
% 8.18/6.13 inference(rewrite,[status(thm)],[])).
% 8.18/6.13 tff(18908,plain,
% 8.18/6.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB131, constB132)) | (v110(constB132) <=> v108(constB131)))),
% 8.18/6.13 inference(quant_inst,[status(thm)],[])).
% 8.18/6.13 tff(18909,plain,
% 8.18/6.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB131, constB132)) | (v110(constB132) <=> v108(constB131))),
% 8.18/6.13 inference(modus_ponens,[status(thm)],[18908, 18907])).
% 8.18/6.13 tff(18910,plain,
% 8.18/6.13 (v110(constB132) <=> v108(constB131)),
% 8.18/6.13 inference(unit_resolution,[status(thm)],[18909, 17023, 3285])).
% 8.18/6.13 tff(18911,plain,
% 8.18/6.13 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB131) <=> (v111(constB131) | v112(constB131)))),
% 8.18/6.13 inference(quant_inst,[status(thm)],[])).
% 8.18/6.13 tff(18912,plain,
% 8.18/6.13 (v108(constB131) <=> (v111(constB131) | v112(constB131))),
% 8.18/6.13 inference(unit_resolution,[status(thm)],[18911, 3296])).
% 8.18/6.13 tff(18913,plain,
% 8.18/6.13 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB131) <=> (~((~v113(constB131)) | (~v126(constB131)))))),
% 8.18/6.13 inference(quant_inst,[status(thm)],[])).
% 8.18/6.13 tff(18914,plain,
% 8.18/6.13 (v112(constB131) <=> (~((~v113(constB131)) | (~v126(constB131))))),
% 8.18/6.13 inference(unit_resolution,[status(thm)],[18913, 3308])).
% 8.18/6.13 tff(18915,plain,
% 8.18/6.13 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB131) <=> (v114(constB131) | v125(constB131)))),
% 8.18/6.13 inference(quant_inst,[status(thm)],[])).
% 8.18/6.13 tff(18916,plain,
% 8.18/6.13 (v113(constB131) <=> (v114(constB131) | v125(constB131))),
% 8.18/6.13 inference(unit_resolution,[status(thm)],[18915, 3317])).
% 8.18/6.13 tff(18917,plain,
% 8.18/6.13 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB131) <=> (v115(constB131) | v124(constB131)))),
% 8.18/6.13 inference(quant_inst,[status(thm)],[])).
% 8.18/6.13 tff(18918,plain,
% 8.18/6.13 (v114(constB131) <=> (v115(constB131) | v124(constB131))),
% 8.18/6.13 inference(unit_resolution,[status(thm)],[18917, 3326])).
% 8.18/6.13 tff(18919,plain,
% 8.18/6.13 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB131) <=> (v116(constB131) | v123(constB131)))),
% 8.18/6.13 inference(quant_inst,[status(thm)],[])).
% 8.18/6.13 tff(18920,plain,
% 8.18/6.13 (v115(constB131) <=> (v116(constB131) | v123(constB131))),
% 8.18/6.13 inference(unit_resolution,[status(thm)],[18919, 3335])).
% 8.18/6.13 tff(18921,plain,
% 8.18/6.13 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB131) <=> (v117(constB131) | v122(constB131)))),
% 8.18/6.13 inference(quant_inst,[status(thm)],[])).
% 8.18/6.13 tff(18922,plain,
% 8.18/6.13 (v116(constB131) <=> (v117(constB131) | v122(constB131))),
% 8.18/6.13 inference(unit_resolution,[status(thm)],[18921, 3344])).
% 8.18/6.13 tff(18923,plain,
% 8.18/6.13 ((v117(constB131) | v122(constB131)) | (~v122(constB131))),
% 8.18/6.13 inference(tautology,[status(thm)],[])).
% 8.18/6.13 tff(18924,plain,
% 8.18/6.13 (v117(constB131) | v122(constB131)),
% 8.18/6.13 inference(unit_resolution,[status(thm)],[18923, 18860])).
% 8.18/6.13 tff(18925,plain,
% 8.18/6.13 ((~(v116(constB131) <=> (v117(constB131) | v122(constB131)))) | v116(constB131) | (~(v117(constB131) | v122(constB131)))),
% 8.18/6.13 inference(tautology,[status(thm)],[])).
% 8.18/6.13 tff(18926,plain,
% 8.18/6.13 (v116(constB131)),
% 8.18/6.13 inference(unit_resolution,[status(thm)],[18925, 18924, 18922])).
% 8.18/6.13 tff(18927,plain,
% 8.18/6.13 ((v116(constB131) | v123(constB131)) | (~v116(constB131))),
% 8.18/6.13 inference(tautology,[status(thm)],[])).
% 8.18/6.13 tff(18928,plain,
% 8.18/6.13 (v116(constB131) | v123(constB131)),
% 8.18/6.13 inference(unit_resolution,[status(thm)],[18927, 18926])).
% 8.18/6.13 tff(18929,plain,
% 8.18/6.13 ((~(v115(constB131) <=> (v116(constB131) | v123(constB131)))) | v115(constB131) | (~(v116(constB131) | v123(constB131)))),
% 8.18/6.13 inference(tautology,[status(thm)],[])).
% 8.18/6.13 tff(18930,plain,
% 8.18/6.13 (v115(constB131)),
% 8.18/6.13 inference(unit_resolution,[status(thm)],[18929, 18928, 18920])).
% 8.18/6.13 tff(18931,plain,
% 8.18/6.13 ((v115(constB131) | v124(constB131)) | (~v115(constB131))),
% 8.18/6.13 inference(tautology,[status(thm)],[])).
% 8.18/6.13 tff(18932,plain,
% 8.18/6.13 (v115(constB131) | v124(constB131)),
% 8.18/6.13 inference(unit_resolution,[status(thm)],[18931, 18930])).
% 8.18/6.13 tff(18933,plain,
% 8.18/6.13 ((~(v114(constB131) <=> (v115(constB131) | v124(constB131)))) | v114(constB131) | (~(v115(constB131) | v124(constB131)))),
% 8.18/6.13 inference(tautology,[status(thm)],[])).
% 8.18/6.13 tff(18934,plain,
% 8.18/6.13 (v114(constB131)),
% 8.18/6.13 inference(unit_resolution,[status(thm)],[18933, 18932, 18918])).
% 8.18/6.13 tff(18935,plain,
% 8.18/6.13 ((v114(constB131) | v125(constB131)) | (~v114(constB131))),
% 8.18/6.13 inference(tautology,[status(thm)],[])).
% 8.18/6.13 tff(18936,plain,
% 8.18/6.13 (v114(constB131) | v125(constB131)),
% 8.18/6.13 inference(unit_resolution,[status(thm)],[18935, 18934])).
% 8.18/6.13 tff(18937,plain,
% 8.18/6.13 ((~(v113(constB131) <=> (v114(constB131) | v125(constB131)))) | v113(constB131) | (~(v114(constB131) | v125(constB131)))),
% 8.18/6.13 inference(tautology,[status(thm)],[])).
% 8.18/6.13 tff(18938,plain,
% 8.18/6.13 (v113(constB131)),
% 8.18/6.13 inference(unit_resolution,[status(thm)],[18937, 18936, 18916])).
% 8.18/6.13 tff(18939,plain,
% 8.18/6.13 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB131)) <=> v111(constB131))),
% 8.18/6.13 inference(quant_inst,[status(thm)],[])).
% 8.18/6.13 tff(18940,plain,
% 8.18/6.13 ((~v126(constB131)) <=> v111(constB131)),
% 8.18/6.13 inference(unit_resolution,[status(thm)],[18939, 3396])).
% 8.18/6.13 tff(18941,plain,
% 8.18/6.13 ((~((~v126(constB131)) <=> v111(constB131))) | v126(constB131) | v111(constB131)),
% 8.18/6.13 inference(tautology,[status(thm)],[])).
% 8.18/6.13 tff(18942,plain,
% 8.18/6.13 ((~((~v126(constB131)) <=> v111(constB131))) | v126(constB131)),
% 8.18/6.13 inference(unit_resolution,[status(thm)],[18941, 17036])).
% 8.18/6.13 tff(18943,plain,
% 8.18/6.13 (v126(constB131)),
% 8.18/6.13 inference(unit_resolution,[status(thm)],[18942, 18940])).
% 8.18/6.13 tff(18944,plain,
% 8.18/6.13 ((~((~v113(constB131)) | (~v126(constB131)))) | (~v113(constB131)) | (~v126(constB131))),
% 8.18/6.13 inference(tautology,[status(thm)],[])).
% 8.18/6.13 tff(18945,plain,
% 8.18/6.13 ((~((~v113(constB131)) | (~v126(constB131)))) | (~v113(constB131))),
% 8.18/6.13 inference(unit_resolution,[status(thm)],[18944, 18943])).
% 8.18/6.13 tff(18946,plain,
% 8.18/6.13 (~((~v113(constB131)) | (~v126(constB131)))),
% 8.18/6.13 inference(unit_resolution,[status(thm)],[18945, 18938])).
% 8.18/6.13 tff(18947,plain,
% 8.18/6.13 ((~(v112(constB131) <=> (~((~v113(constB131)) | (~v126(constB131)))))) | v112(constB131) | ((~v113(constB131)) | (~v126(constB131)))),
% 8.18/6.13 inference(tautology,[status(thm)],[])).
% 8.18/6.13 tff(18948,plain,
% 8.18/6.13 (v112(constB131)),
% 8.18/6.13 inference(unit_resolution,[status(thm)],[18947, 18946, 18914])).
% 8.18/6.13 tff(18949,plain,
% 8.18/6.13 ((v111(constB131) | v112(constB131)) | (~v112(constB131))),
% 8.18/6.13 inference(tautology,[status(thm)],[])).
% 8.18/6.13 tff(18950,plain,
% 8.18/6.13 (v111(constB131) | v112(constB131)),
% 8.18/6.13 inference(unit_resolution,[status(thm)],[18949, 18948])).
% 8.18/6.13 tff(18951,plain,
% 8.18/6.13 ((~(v108(constB131) <=> (v111(constB131) | v112(constB131)))) | v108(constB131) | (~(v111(constB131) | v112(constB131)))),
% 8.18/6.13 inference(tautology,[status(thm)],[])).
% 8.18/6.13 tff(18952,plain,
% 8.18/6.13 (v108(constB131)),
% 8.18/6.13 inference(unit_resolution,[status(thm)],[18951, 18950, 18912])).
% 8.18/6.13 tff(18953,plain,
% 8.18/6.13 ((~(v110(constB132) <=> v108(constB131))) | v110(constB132) | (~v108(constB131))),
% 8.18/6.13 inference(tautology,[status(thm)],[])).
% 8.18/6.13 tff(18954,plain,
% 8.18/6.13 (v110(constB132)),
% 8.18/6.13 inference(unit_resolution,[status(thm)],[18953, 18952, 18910])).
% 8.18/6.13 tff(18955,plain,
% 8.18/6.13 ((~((~v101(constB132)) | (~v110(constB132)))) | (~v101(constB132)) | (~v110(constB132))),
% 8.18/6.13 inference(tautology,[status(thm)],[])).
% 8.18/6.13 tff(18956,plain,
% 8.18/6.13 (~((~v101(constB132)) | (~v110(constB132)))),
% 8.18/6.13 inference(unit_resolution,[status(thm)],[18955, 18954, 18906])).
% 8.18/6.13 tff(18957,plain,
% 8.18/6.13 ((~(v100(constB132) <=> (~((~v101(constB132)) | (~v110(constB132)))))) | v100(constB132) | ((~v101(constB132)) | (~v110(constB132)))),
% 8.18/6.13 inference(tautology,[status(thm)],[])).
% 8.18/6.13 tff(18958,plain,
% 8.18/6.13 (v100(constB132)),
% 8.18/6.13 inference(unit_resolution,[status(thm)],[18957, 18956, 18878])).
% 8.18/6.13 tff(18959,plain,
% 8.18/6.13 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB132)) | (~(((~v90(constB132, bitIndex2)) <=> v129(constB132, bitIndex2)) | ((~v90(constB132, bitIndex1)) <=> v129(constB132, bitIndex1)) | ((~v90(constB132, bitIndex0)) <=> v129(constB132, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB132)) | (~(((~v90(constB132, bitIndex2)) <=> v129(constB132, bitIndex2)) | ((~v90(constB132, bitIndex1)) <=> v129(constB132, bitIndex1)) | ((~v90(constB132, bitIndex0)) <=> v129(constB132, bitIndex0)))))),
% 8.18/6.13 inference(rewrite,[status(thm)],[])).
% 8.18/6.13 tff(18960,plain,
% 8.18/6.13 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB132)) | (~(((~v90(constB132, bitIndex2)) <=> v129(constB132, bitIndex2)) | ((~v90(constB132, bitIndex1)) <=> v129(constB132, bitIndex1)) | ((~v90(constB132, bitIndex0)) <=> v129(constB132, bitIndex0)))))),
% 8.18/6.13 inference(quant_inst,[status(thm)],[])).
% 8.18/6.13 tff(18961,plain,
% 8.18/6.13 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB132)) | (~(((~v90(constB132, bitIndex2)) <=> v129(constB132, bitIndex2)) | ((~v90(constB132, bitIndex1)) <=> v129(constB132, bitIndex1)) | ((~v90(constB132, bitIndex0)) <=> v129(constB132, bitIndex0))))),
% 8.18/6.13 inference(modus_ponens,[status(thm)],[18960, 18959])).
% 8.18/6.13 tff(18962,plain,
% 8.18/6.13 ((~v100(constB132)) | (~(((~v90(constB132, bitIndex2)) <=> v129(constB132, bitIndex2)) | ((~v90(constB132, bitIndex1)) <=> v129(constB132, bitIndex1)) | ((~v90(constB132, bitIndex0)) <=> v129(constB132, bitIndex0))))),
% 8.18/6.13 inference(unit_resolution,[status(thm)],[18961, 3429])).
% 8.18/6.13 tff(18963,plain,
% 8.18/6.13 (~(((~v90(constB132, bitIndex2)) <=> v129(constB132, bitIndex2)) | ((~v90(constB132, bitIndex1)) <=> v129(constB132, bitIndex1)) | ((~v90(constB132, bitIndex0)) <=> v129(constB132, bitIndex0)))),
% 8.18/6.13 inference(unit_resolution,[status(thm)],[18962, 18958])).
% 8.18/6.13 tff(18964,plain,
% 8.18/6.13 ((((~v90(constB132, bitIndex2)) <=> v129(constB132, bitIndex2)) | ((~v90(constB132, bitIndex1)) <=> v129(constB132, bitIndex1)) | ((~v90(constB132, bitIndex0)) <=> v129(constB132, bitIndex0))) | (~((~v90(constB132, bitIndex2)) <=> v129(constB132, bitIndex2)))),
% 8.18/6.13 inference(tautology,[status(thm)],[])).
% 8.18/6.13 tff(18965,plain,
% 8.18/6.13 (~((~v90(constB132, bitIndex2)) <=> v129(constB132, bitIndex2))),
% 8.18/6.13 inference(unit_resolution,[status(thm)],[18964, 18963])).
% 8.18/6.13 tff(18966,plain,
% 8.18/6.13 (((~v90(constB132, bitIndex2)) <=> v129(constB132, bitIndex2)) | v90(constB132, bitIndex2) | (~v129(constB132, bitIndex2))),
% 8.18/6.13 inference(tautology,[status(thm)],[])).
% 8.18/6.13 tff(18967,plain,
% 8.18/6.13 (v90(constB132, bitIndex2)),
% 8.18/6.13 inference(unit_resolution,[status(thm)],[18966, 18965, 18874])).
% 8.18/6.13 tff(18968,plain,
% 8.18/6.13 (((~v90(constB133, bitIndex2)) <=> v90(constB132, bitIndex2)) | v90(constB133, bitIndex2) | (~v90(constB132, bitIndex2))),
% 8.18/6.13 inference(tautology,[status(thm)],[])).
% 8.18/6.13 tff(18969,plain,
% 8.18/6.13 (v90(constB133, bitIndex2)),
% 8.18/6.13 inference(unit_resolution,[status(thm)],[18968, 18967, 17020])).
% 8.18/6.13 tff(18970,plain,
% 8.18/6.13 ((((~v90(constB133, bitIndex1)) <=> v90(constB132, bitIndex1)) | ((~v90(constB133, bitIndex2)) <=> v90(constB132, bitIndex2)) | ((~v90(constB133, bitIndex0)) <=> v90(constB132, bitIndex0))) | (~((~v90(constB133, bitIndex0)) <=> v90(constB132, bitIndex0)))),
% 8.18/6.13 inference(tautology,[status(thm)],[])).
% 8.18/6.13 tff(18971,plain,
% 8.18/6.13 (~((~v90(constB133, bitIndex0)) <=> v90(constB132, bitIndex0))),
% 8.18/6.13 inference(unit_resolution,[status(thm)],[18970, 17018])).
% 8.18/6.13 tff(18972,plain,
% 8.18/6.13 ((((~v129(constB132, bitIndex2)) <=> v127(constB131, bitIndex2)) | ((~v129(constB132, bitIndex1)) <=> v127(constB131, bitIndex1)) | ((~v129(constB132, bitIndex0)) <=> v127(constB131, bitIndex0))) | (~((~v129(constB132, bitIndex0)) <=> v127(constB131, bitIndex0)))),
% 8.18/6.13 inference(tautology,[status(thm)],[])).
% 8.18/6.13 tff(18973,plain,
% 8.18/6.13 (~((~v129(constB132, bitIndex0)) <=> v127(constB131, bitIndex0))),
% 8.18/6.13 inference(unit_resolution,[status(thm)],[18972, 17027])).
% 8.18/6.13 tff(18974,plain,
% 8.18/6.13 ((((~v127(constB131, bitIndex2)) <=> v130(constB131, bitIndex2)) | ((~v127(constB131, bitIndex1)) <=> v130(constB131, bitIndex1)) | ((~v127(constB131, bitIndex0)) <=> v130(constB131, bitIndex0))) | (~((~v127(constB131, bitIndex0)) <=> v130(constB131, bitIndex0)))),
% 8.18/6.13 inference(tautology,[status(thm)],[])).
% 8.18/6.13 tff(18975,plain,
% 8.18/6.13 (~((~v127(constB131, bitIndex0)) <=> v130(constB131, bitIndex0))),
% 8.18/6.13 inference(unit_resolution,[status(thm)],[18974, 17041])).
% 8.18/6.13 tff(18976,plain,
% 8.18/6.13 ((v130(constB131, bitIndex1) | v130(constB131, bitIndex0) | (~v130(constB131, bitIndex2))) | (~v130(constB131, bitIndex0))),
% 8.18/6.13 inference(tautology,[status(thm)],[])).
% 8.18/6.13 tff(18977,plain,
% 8.18/6.13 (~v130(constB131, bitIndex0)),
% 8.18/6.13 inference(unit_resolution,[status(thm)],[18976, 18868])).
% 8.18/6.13 tff(18978,plain,
% 8.18/6.13 (((~v127(constB131, bitIndex0)) <=> v130(constB131, bitIndex0)) | (~v127(constB131, bitIndex0)) | v130(constB131, bitIndex0)),
% 8.18/6.13 inference(tautology,[status(thm)],[])).
% 8.18/6.13 tff(18979,plain,
% 8.18/6.13 (~v127(constB131, bitIndex0)),
% 8.18/6.13 inference(unit_resolution,[status(thm)],[18978, 18977, 18975])).
% 8.18/6.13 tff(18980,plain,
% 8.18/6.13 (((~v129(constB132, bitIndex0)) <=> v127(constB131, bitIndex0)) | (~v129(constB132, bitIndex0)) | v127(constB131, bitIndex0)),
% 8.18/6.13 inference(tautology,[status(thm)],[])).
% 8.18/6.13 tff(18981,plain,
% 8.18/6.13 (~v129(constB132, bitIndex0)),
% 8.18/6.13 inference(unit_resolution,[status(thm)],[18980, 18979, 18973])).
% 8.18/6.13 tff(18982,plain,
% 8.18/6.13 ((((~v90(constB132, bitIndex2)) <=> v129(constB132, bitIndex2)) | ((~v90(constB132, bitIndex1)) <=> v129(constB132, bitIndex1)) | ((~v90(constB132, bitIndex0)) <=> v129(constB132, bitIndex0))) | (~((~v90(constB132, bitIndex0)) <=> v129(constB132, bitIndex0)))),
% 8.18/6.13 inference(tautology,[status(thm)],[])).
% 8.18/6.13 tff(18983,plain,
% 8.18/6.13 (~((~v90(constB132, bitIndex0)) <=> v129(constB132, bitIndex0))),
% 8.18/6.13 inference(unit_resolution,[status(thm)],[18982, 18963])).
% 8.18/6.13 tff(18984,plain,
% 8.18/6.13 (((~v90(constB132, bitIndex0)) <=> v129(constB132, bitIndex0)) | (~v90(constB132, bitIndex0)) | v129(constB132, bitIndex0)),
% 8.18/6.13 inference(tautology,[status(thm)],[])).
% 8.18/6.13 tff(18985,plain,
% 8.18/6.13 (~v90(constB132, bitIndex0)),
% 8.18/6.13 inference(unit_resolution,[status(thm)],[18984, 18983, 18981])).
% 8.18/6.13 tff(18986,plain,
% 8.18/6.13 (((~v90(constB133, bitIndex0)) <=> v90(constB132, bitIndex0)) | (~v90(constB133, bitIndex0)) | v90(constB132, bitIndex0)),
% 8.18/6.13 inference(tautology,[status(thm)],[])).
% 8.18/6.13 tff(18987,plain,
% 8.18/6.13 (~v90(constB133, bitIndex0)),
% 8.18/6.13 inference(unit_resolution,[status(thm)],[18986, 18985, 18971])).
% 8.18/6.13 tff(18988,plain,
% 8.18/6.13 ((((~v90(constB133, bitIndex1)) <=> v90(constB132, bitIndex1)) | ((~v90(constB133, bitIndex2)) <=> v90(constB132, bitIndex2)) | ((~v90(constB133, bitIndex0)) <=> v90(constB132, bitIndex0))) | (~((~v90(constB133, bitIndex1)) <=> v90(constB132, bitIndex1)))),
% 8.18/6.13 inference(tautology,[status(thm)],[])).
% 8.18/6.13 tff(18989,plain,
% 8.18/6.13 (~((~v90(constB133, bitIndex1)) <=> v90(constB132, bitIndex1))),
% 8.18/6.13 inference(unit_resolution,[status(thm)],[18988, 17018])).
% 8.18/6.13 tff(18990,plain,
% 8.18/6.13 ((((~v129(constB132, bitIndex2)) <=> v127(constB131, bitIndex2)) | ((~v129(constB132, bitIndex1)) <=> v127(constB131, bitIndex1)) | ((~v129(constB132, bitIndex0)) <=> v127(constB131, bitIndex0))) | (~((~v129(constB132, bitIndex1)) <=> v127(constB131, bitIndex1)))),
% 8.18/6.13 inference(tautology,[status(thm)],[])).
% 8.18/6.13 tff(18991,plain,
% 8.18/6.13 (~((~v129(constB132, bitIndex1)) <=> v127(constB131, bitIndex1))),
% 8.18/6.13 inference(unit_resolution,[status(thm)],[18990, 17027])).
% 8.18/6.13 tff(18992,plain,
% 8.18/6.13 ((((~v127(constB131, bitIndex2)) <=> v130(constB131, bitIndex2)) | ((~v127(constB131, bitIndex1)) <=> v130(constB131, bitIndex1)) | ((~v127(constB131, bitIndex0)) <=> v130(constB131, bitIndex0))) | (~((~v127(constB131, bitIndex1)) <=> v130(constB131, bitIndex1)))),
% 8.18/6.13 inference(tautology,[status(thm)],[])).
% 8.18/6.13 tff(18993,plain,
% 8.18/6.13 (~((~v127(constB131, bitIndex1)) <=> v130(constB131, bitIndex1))),
% 8.18/6.13 inference(unit_resolution,[status(thm)],[18992, 17041])).
% 8.18/6.13 tff(18994,plain,
% 8.18/6.13 ((v130(constB131, bitIndex1) | v130(constB131, bitIndex0) | (~v130(constB131, bitIndex2))) | (~v130(constB131, bitIndex1))),
% 8.18/6.13 inference(tautology,[status(thm)],[])).
% 8.18/6.13 tff(18995,plain,
% 8.18/6.13 (~v130(constB131, bitIndex1)),
% 8.18/6.13 inference(unit_resolution,[status(thm)],[18994, 18868])).
% 8.18/6.13 tff(18996,plain,
% 8.18/6.13 (((~v127(constB131, bitIndex1)) <=> v130(constB131, bitIndex1)) | (~v127(constB131, bitIndex1)) | v130(constB131, bitIndex1)),
% 8.18/6.13 inference(tautology,[status(thm)],[])).
% 8.18/6.13 tff(18997,plain,
% 8.18/6.13 (~v127(constB131, bitIndex1)),
% 8.18/6.13 inference(unit_resolution,[status(thm)],[18996, 18995, 18993])).
% 8.18/6.13 tff(18998,plain,
% 8.18/6.13 (((~v129(constB132, bitIndex1)) <=> v127(constB131, bitIndex1)) | (~v129(constB132, bitIndex1)) | v127(constB131, bitIndex1)),
% 8.18/6.13 inference(tautology,[status(thm)],[])).
% 8.18/6.13 tff(18999,plain,
% 8.18/6.13 (~v129(constB132, bitIndex1)),
% 8.18/6.13 inference(unit_resolution,[status(thm)],[18998, 18997, 18991])).
% 8.18/6.13 tff(19000,plain,
% 8.18/6.13 ((((~v90(constB132, bitIndex2)) <=> v129(constB132, bitIndex2)) | ((~v90(constB132, bitIndex1)) <=> v129(constB132, bitIndex1)) | ((~v90(constB132, bitIndex0)) <=> v129(constB132, bitIndex0))) | (~((~v90(constB132, bitIndex1)) <=> v129(constB132, bitIndex1)))),
% 8.18/6.13 inference(tautology,[status(thm)],[])).
% 8.18/6.13 tff(19001,plain,
% 8.18/6.13 (~((~v90(constB132, bitIndex1)) <=> v129(constB132, bitIndex1))),
% 8.18/6.13 inference(unit_resolution,[status(thm)],[19000, 18963])).
% 8.18/6.13 tff(19002,plain,
% 8.18/6.13 (((~v90(constB132, bitIndex1)) <=> v129(constB132, bitIndex1)) | (~v90(constB132, bitIndex1)) | v129(constB132, bitIndex1)),
% 8.18/6.13 inference(tautology,[status(thm)],[])).
% 8.18/6.13 tff(19003,plain,
% 8.18/6.13 (~v90(constB132, bitIndex1)),
% 8.18/6.13 inference(unit_resolution,[status(thm)],[19002, 19001, 18999])).
% 8.18/6.13 tff(19004,plain,
% 8.18/6.13 (((~v90(constB133, bitIndex1)) <=> v90(constB132, bitIndex1)) | (~v90(constB133, bitIndex1)) | v90(constB132, bitIndex1)),
% 8.18/6.13 inference(tautology,[status(thm)],[])).
% 8.18/6.13 tff(19005,plain,
% 8.18/6.13 (~v90(constB133, bitIndex1)),
% 8.18/6.13 inference(unit_resolution,[status(thm)],[19004, 19003, 18989])).
% 8.18/6.13 tff(19006,plain,
% 8.18/6.13 ((~(v90(constB133, bitIndex1) | v90(constB133, bitIndex0) | (~v90(constB133, bitIndex2)))) | v90(constB133, bitIndex1) | v90(constB133, bitIndex0) | (~v90(constB133, bitIndex2))),
% 8.18/6.13 inference(tautology,[status(thm)],[])).
% 8.18/6.13 tff(19007,plain,
% 8.18/6.13 (~(v90(constB133, bitIndex1) | v90(constB133, bitIndex0) | (~v90(constB133, bitIndex2)))),
% 8.18/6.13 inference(unit_resolution,[status(thm)],[19006, 19005, 18987, 18969])).
% 8.18/6.13 tff(19008,plain,
% 8.18/6.13 ((~(v123(constB133) <=> (~(v90(constB133, bitIndex1) | v90(constB133, bitIndex0) | (~v90(constB133, bitIndex2)))))) | v123(constB133) | (v90(constB133, bitIndex1) | v90(constB133, bitIndex0) | (~v90(constB133, bitIndex2)))),
% 8.18/6.13 inference(tautology,[status(thm)],[])).
% 8.18/6.13 tff(19009,plain,
% 8.18/6.13 (v123(constB133)),
% 8.18/6.13 inference(unit_resolution,[status(thm)],[19008, 19007, 16984])).
% 8.18/6.13 tff(19010,plain,
% 8.18/6.13 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | ((~v123(constB133)) | (~(v130(constB133, bitIndex0) | (~v130(constB133, bitIndex2)) | (~v130(constB133, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | (~v123(constB133)) | (~(v130(constB133, bitIndex0) | (~v130(constB133, bitIndex2)) | (~v130(constB133, bitIndex1)))))),
% 8.18/6.13 inference(rewrite,[status(thm)],[])).
% 8.18/6.13 tff(19011,plain,
% 8.18/6.13 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | ((~v123(constB133)) | (~(v130(constB133, bitIndex0) | (~v130(constB133, bitIndex2)) | (~v130(constB133, bitIndex1)))))),
% 8.18/6.13 inference(quant_inst,[status(thm)],[])).
% 8.18/6.13 tff(19012,plain,
% 8.18/6.13 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | (~v123(constB133)) | (~(v130(constB133, bitIndex0) | (~v130(constB133, bitIndex2)) | (~v130(constB133, bitIndex1))))),
% 8.18/6.13 inference(modus_ponens,[status(thm)],[19011, 19010])).
% 8.18/6.13 tff(19013,plain,
% 8.18/6.13 ((~v123(constB133)) | (~(v130(constB133, bitIndex0) | (~v130(constB133, bitIndex2)) | (~v130(constB133, bitIndex1))))),
% 8.18/6.13 inference(unit_resolution,[status(thm)],[19012, 3496])).
% 8.18/6.13 tff(19014,plain,
% 8.18/6.13 (~(v130(constB133, bitIndex0) | (~v130(constB133, bitIndex2)) | (~v130(constB133, bitIndex1)))),
% 8.18/6.13 inference(unit_resolution,[status(thm)],[19013, 19009])).
% 8.18/6.13 tff(19015,plain,
% 8.18/6.13 ((v130(constB133, bitIndex0) | (~v130(constB133, bitIndex2)) | (~v130(constB133, bitIndex1))) | (~v130(constB133, bitIndex0))),
% 8.18/6.13 inference(tautology,[status(thm)],[])).
% 8.18/6.13 tff(19016,plain,
% 8.18/6.13 (~v130(constB133, bitIndex0)),
% 8.18/6.13 inference(unit_resolution,[status(thm)],[19015, 19014])).
% 8.18/6.13 tff(19017,plain,
% 8.18/6.13 (((~v127(constB133, bitIndex0)) <=> v130(constB133, bitIndex0)) | (~v127(constB133, bitIndex0)) | v130(constB133, bitIndex0)),
% 8.18/6.13 inference(tautology,[status(thm)],[])).
% 8.18/6.13 tff(19018,plain,
% 8.18/6.13 (~v127(constB133, bitIndex0)),
% 8.18/6.13 inference(unit_resolution,[status(thm)],[19017, 19016, 16977])).
% 8.18/6.13 tff(19019,plain,
% 8.18/6.13 (((~v129(constB134, bitIndex0)) <=> v127(constB133, bitIndex0)) | (~v129(constB134, bitIndex0)) | v127(constB133, bitIndex0)),
% 8.18/6.13 inference(tautology,[status(thm)],[])).
% 8.18/6.13 tff(19020,plain,
% 8.18/6.13 (~v129(constB134, bitIndex0)),
% 8.18/6.13 inference(unit_resolution,[status(thm)],[19019, 19018, 16963])).
% 8.18/6.13 tff(19021,plain,
% 8.18/6.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB133, constB134)) | (v100(constB134) <=> (~((~v101(constB134)) | (~v110(constB134))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB133, constB134)) | (v100(constB134) <=> (~((~v101(constB134)) | (~v110(constB134))))))),
% 8.18/6.13 inference(rewrite,[status(thm)],[])).
% 8.18/6.13 tff(19022,plain,
% 8.18/6.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB133, constB134)) | (v100(constB134) <=> (~((~v101(constB134)) | (~v110(constB134))))))),
% 8.18/6.13 inference(quant_inst,[status(thm)],[])).
% 8.18/6.13 tff(19023,plain,
% 8.18/6.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB133, constB134)) | (v100(constB134) <=> (~((~v101(constB134)) | (~v110(constB134)))))),
% 8.18/6.13 inference(modus_ponens,[status(thm)],[19022, 19021])).
% 8.18/6.13 tff(19024,plain,
% 8.18/6.13 (v100(constB134) <=> (~((~v101(constB134)) | (~v110(constB134))))),
% 8.18/6.13 inference(unit_resolution,[status(thm)],[19023, 16957, 445])).
% 8.18/6.13 tff(19025,plain,
% 8.18/6.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB133, constB134)) | (v101(constB134) <=> (~((~v1(constB134)) | (~v102(constB134))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB133, constB134)) | (v101(constB134) <=> (~((~v1(constB134)) | (~v102(constB134))))))),
% 8.18/6.13 inference(rewrite,[status(thm)],[])).
% 8.18/6.13 tff(19026,plain,
% 8.18/6.13 (((~nextState(constB133, constB134)) | (v101(constB134) <=> (~((~v102(constB134)) | (~v1(constB134)))))) <=> ((~nextState(constB133, constB134)) | (v101(constB134) <=> (~((~v1(constB134)) | (~v102(constB134))))))),
% 8.18/6.13 inference(rewrite,[status(thm)],[])).
% 8.18/6.13 tff(19027,plain,
% 8.18/6.13 (((~![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) <=> (~((~v1(constB134)) | (~v102(constB134)))))))),
% 8.18/6.13 inference(monotonicity,[status(thm)],[19026])).
% 8.18/6.13 tff(19028,plain,
% 8.18/6.13 (((~![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) <=> (~((~v1(constB134)) | (~v102(constB134))))))),
% 8.18/6.13 inference(transitivity,[status(thm)],[19027, 19025])).
% 8.18/6.13 tff(19029,plain,
% 8.18/6.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB133, constB134)) | (v101(constB134) <=> (~((~v102(constB134)) | (~v1(constB134))))))),
% 8.18/6.13 inference(quant_inst,[status(thm)],[])).
% 8.18/6.13 tff(19030,plain,
% 8.18/6.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB133, constB134)) | (v101(constB134) <=> (~((~v1(constB134)) | (~v102(constB134)))))),
% 8.18/6.13 inference(modus_ponens,[status(thm)],[19029, 19028])).
% 8.18/6.13 tff(19031,plain,
% 8.18/6.13 (v101(constB134) <=> (~((~v1(constB134)) | (~v102(constB134))))),
% 8.18/6.13 inference(unit_resolution,[status(thm)],[19030, 16957, 465])).
% 8.18/6.13 tff(19032,plain,
% 8.18/6.13 (((~![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)))),
% 8.18/6.13 inference(rewrite,[status(thm)],[])).
% 8.18/6.13 tff(19033,plain,
% 8.18/6.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB133, constB134)) | ((~v102(constB134)) <=> v104(constB134)))),
% 8.18/6.14 inference(quant_inst,[status(thm)],[])).
% 8.18/6.14 tff(19034,plain,
% 8.18/6.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB133, constB134)) | ((~v102(constB134)) <=> v104(constB134))),
% 8.18/6.14 inference(modus_ponens,[status(thm)],[19033, 19032])).
% 8.18/6.14 tff(19035,plain,
% 8.18/6.14 ((~v102(constB134)) <=> v104(constB134)),
% 8.18/6.14 inference(unit_resolution,[status(thm)],[19034, 16957, 3244])).
% 8.18/6.14 tff(19036,plain,
% 8.18/6.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB133, constB134)) | (v104(constB134) <=> v1(constB133)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB133, constB134)) | (v104(constB134) <=> v1(constB133)))),
% 8.18/6.14 inference(rewrite,[status(thm)],[])).
% 8.18/6.14 tff(19037,plain,
% 8.18/6.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB133, constB134)) | (v104(constB134) <=> v1(constB133)))),
% 8.18/6.14 inference(quant_inst,[status(thm)],[])).
% 8.18/6.14 tff(19038,plain,
% 8.18/6.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB133, constB134)) | (v104(constB134) <=> v1(constB133))),
% 8.18/6.14 inference(modus_ponens,[status(thm)],[19037, 19036])).
% 8.18/6.14 tff(19039,plain,
% 8.18/6.14 (v104(constB134) <=> v1(constB133)),
% 8.18/6.14 inference(unit_resolution,[status(thm)],[19038, 16957, 3258])).
% 8.18/6.14 tff(19040,plain,
% 8.18/6.14 ((~(v104(constB134) <=> v1(constB133))) | (~v104(constB134)) | v1(constB133)),
% 8.18/6.14 inference(tautology,[status(thm)],[])).
% 8.18/6.14 tff(19041,plain,
% 8.18/6.14 ((~(v104(constB134) <=> v1(constB133))) | (~v104(constB134))),
% 8.18/6.14 inference(unit_resolution,[status(thm)],[19040, 17001])).
% 8.18/6.14 tff(19042,plain,
% 8.18/6.14 (~v104(constB134)),
% 8.18/6.14 inference(unit_resolution,[status(thm)],[19041, 19039])).
% 8.18/6.14 tff(19043,plain,
% 8.18/6.14 ((~((~v102(constB134)) <=> v104(constB134))) | v102(constB134) | v104(constB134)),
% 8.18/6.14 inference(tautology,[status(thm)],[])).
% 8.18/6.14 tff(19044,plain,
% 8.18/6.14 (v102(constB134)),
% 8.18/6.14 inference(unit_resolution,[status(thm)],[19043, 19042, 19035])).
% 8.18/6.14 tff(19045,plain,
% 8.18/6.14 (v1(constB134) <=> v1(constB134)),
% 8.18/6.14 inference(rewrite,[status(thm)],[])).
% 8.18/6.14 tff(19046,axiom,(v1(constB134)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_134')).
% 8.18/6.14 tff(19047,plain,
% 8.18/6.14 (v1(constB134)),
% 8.18/6.14 inference(modus_ponens,[status(thm)],[19046, 19045])).
% 8.18/6.14 tff(19048,plain,
% 8.18/6.14 ((~((~v1(constB134)) | (~v102(constB134)))) | (~v1(constB134)) | (~v102(constB134))),
% 8.18/6.14 inference(tautology,[status(thm)],[])).
% 8.18/6.14 tff(19049,plain,
% 8.18/6.14 ((~((~v1(constB134)) | (~v102(constB134)))) | (~v102(constB134))),
% 8.18/6.14 inference(unit_resolution,[status(thm)],[19048, 19047])).
% 8.18/6.14 tff(19050,plain,
% 8.18/6.14 (~((~v1(constB134)) | (~v102(constB134)))),
% 8.18/6.14 inference(unit_resolution,[status(thm)],[19049, 19044])).
% 8.18/6.14 tff(19051,plain,
% 8.18/6.14 ((~(v101(constB134) <=> (~((~v1(constB134)) | (~v102(constB134)))))) | v101(constB134) | ((~v1(constB134)) | (~v102(constB134)))),
% 8.18/6.14 inference(tautology,[status(thm)],[])).
% 8.18/6.14 tff(19052,plain,
% 8.18/6.14 (v101(constB134)),
% 8.18/6.14 inference(unit_resolution,[status(thm)],[19051, 19050, 19031])).
% 8.18/6.14 tff(19053,plain,
% 8.18/6.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB133, constB134)) | (v110(constB134) <=> v108(constB133)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB133, constB134)) | (v110(constB134) <=> v108(constB133)))),
% 8.18/6.14 inference(rewrite,[status(thm)],[])).
% 8.18/6.14 tff(19054,plain,
% 8.18/6.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB133, constB134)) | (v110(constB134) <=> v108(constB133)))),
% 8.18/6.14 inference(quant_inst,[status(thm)],[])).
% 8.18/6.14 tff(19055,plain,
% 8.18/6.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB133, constB134)) | (v110(constB134) <=> v108(constB133))),
% 8.18/6.14 inference(modus_ponens,[status(thm)],[19054, 19053])).
% 8.18/6.14 tff(19056,plain,
% 8.18/6.14 (v110(constB134) <=> v108(constB133)),
% 8.18/6.14 inference(unit_resolution,[status(thm)],[19055, 16957, 3285])).
% 8.18/6.14 tff(19057,plain,
% 8.18/6.14 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB133) <=> (v111(constB133) | v112(constB133)))),
% 8.18/6.14 inference(quant_inst,[status(thm)],[])).
% 8.18/6.14 tff(19058,plain,
% 8.18/6.14 (v108(constB133) <=> (v111(constB133) | v112(constB133))),
% 8.18/6.14 inference(unit_resolution,[status(thm)],[19057, 3296])).
% 8.18/6.14 tff(19059,plain,
% 8.18/6.14 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB133) <=> (~((~v113(constB133)) | (~v126(constB133)))))),
% 8.18/6.14 inference(quant_inst,[status(thm)],[])).
% 8.18/6.14 tff(19060,plain,
% 8.18/6.14 (v112(constB133) <=> (~((~v113(constB133)) | (~v126(constB133))))),
% 8.18/6.14 inference(unit_resolution,[status(thm)],[19059, 3308])).
% 8.18/6.14 tff(19061,plain,
% 8.18/6.14 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB133) <=> (v114(constB133) | v125(constB133)))),
% 8.18/6.14 inference(quant_inst,[status(thm)],[])).
% 8.18/6.14 tff(19062,plain,
% 8.18/6.14 (v113(constB133) <=> (v114(constB133) | v125(constB133))),
% 8.18/6.14 inference(unit_resolution,[status(thm)],[19061, 3317])).
% 8.18/6.14 tff(19063,plain,
% 8.18/6.14 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB133) <=> (v115(constB133) | v124(constB133)))),
% 8.18/6.14 inference(quant_inst,[status(thm)],[])).
% 8.18/6.14 tff(19064,plain,
% 8.18/6.14 (v114(constB133) <=> (v115(constB133) | v124(constB133))),
% 8.18/6.14 inference(unit_resolution,[status(thm)],[19063, 3326])).
% 8.18/6.14 tff(19065,plain,
% 8.18/6.14 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB133) <=> (v116(constB133) | v123(constB133)))),
% 8.18/6.14 inference(quant_inst,[status(thm)],[])).
% 8.18/6.14 tff(19066,plain,
% 8.18/6.14 (v115(constB133) <=> (v116(constB133) | v123(constB133))),
% 8.18/6.14 inference(unit_resolution,[status(thm)],[19065, 3335])).
% 8.18/6.14 tff(19067,plain,
% 8.18/6.14 ((v116(constB133) | v123(constB133)) | (~v123(constB133))),
% 8.18/6.14 inference(tautology,[status(thm)],[])).
% 8.18/6.14 tff(19068,plain,
% 8.18/6.14 (v116(constB133) | v123(constB133)),
% 8.18/6.14 inference(unit_resolution,[status(thm)],[19067, 19009])).
% 8.18/6.14 tff(19069,plain,
% 8.18/6.14 ((~(v115(constB133) <=> (v116(constB133) | v123(constB133)))) | v115(constB133) | (~(v116(constB133) | v123(constB133)))),
% 8.18/6.14 inference(tautology,[status(thm)],[])).
% 8.18/6.14 tff(19070,plain,
% 8.18/6.14 (v115(constB133)),
% 8.18/6.14 inference(unit_resolution,[status(thm)],[19069, 19068, 19066])).
% 8.18/6.14 tff(19071,plain,
% 8.18/6.14 ((v115(constB133) | v124(constB133)) | (~v115(constB133))),
% 8.18/6.14 inference(tautology,[status(thm)],[])).
% 8.18/6.14 tff(19072,plain,
% 8.18/6.14 (v115(constB133) | v124(constB133)),
% 8.18/6.14 inference(unit_resolution,[status(thm)],[19071, 19070])).
% 8.18/6.14 tff(19073,plain,
% 8.18/6.14 ((~(v114(constB133) <=> (v115(constB133) | v124(constB133)))) | v114(constB133) | (~(v115(constB133) | v124(constB133)))),
% 8.18/6.14 inference(tautology,[status(thm)],[])).
% 8.18/6.14 tff(19074,plain,
% 8.18/6.14 (v114(constB133)),
% 8.18/6.14 inference(unit_resolution,[status(thm)],[19073, 19072, 19064])).
% 8.18/6.14 tff(19075,plain,
% 8.18/6.14 ((v114(constB133) | v125(constB133)) | (~v114(constB133))),
% 8.18/6.14 inference(tautology,[status(thm)],[])).
% 8.18/6.14 tff(19076,plain,
% 8.18/6.14 (v114(constB133) | v125(constB133)),
% 8.18/6.14 inference(unit_resolution,[status(thm)],[19075, 19074])).
% 8.18/6.14 tff(19077,plain,
% 8.18/6.14 ((~(v113(constB133) <=> (v114(constB133) | v125(constB133)))) | v113(constB133) | (~(v114(constB133) | v125(constB133)))),
% 8.18/6.14 inference(tautology,[status(thm)],[])).
% 8.18/6.14 tff(19078,plain,
% 8.18/6.14 (v113(constB133)),
% 8.18/6.14 inference(unit_resolution,[status(thm)],[19077, 19076, 19062])).
% 8.18/6.14 tff(19079,plain,
% 8.18/6.14 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB133)) <=> v111(constB133))),
% 8.18/6.14 inference(quant_inst,[status(thm)],[])).
% 8.18/6.14 tff(19080,plain,
% 8.18/6.14 ((~v126(constB133)) <=> v111(constB133)),
% 8.18/6.14 inference(unit_resolution,[status(thm)],[19079, 3396])).
% 8.18/6.14 tff(19081,plain,
% 8.18/6.14 ((~((~v126(constB133)) <=> v111(constB133))) | v126(constB133) | v111(constB133)),
% 8.18/6.14 inference(tautology,[status(thm)],[])).
% 8.18/6.14 tff(19082,plain,
% 8.18/6.14 ((~((~v126(constB133)) <=> v111(constB133))) | v126(constB133)),
% 8.18/6.14 inference(unit_resolution,[status(thm)],[19081, 16970])).
% 8.18/6.14 tff(19083,plain,
% 8.18/6.14 (v126(constB133)),
% 8.18/6.14 inference(unit_resolution,[status(thm)],[19082, 19080])).
% 8.18/6.14 tff(19084,plain,
% 8.18/6.14 ((~((~v113(constB133)) | (~v126(constB133)))) | (~v113(constB133)) | (~v126(constB133))),
% 8.18/6.14 inference(tautology,[status(thm)],[])).
% 8.18/6.14 tff(19085,plain,
% 8.18/6.14 ((~((~v113(constB133)) | (~v126(constB133)))) | (~v113(constB133))),
% 8.18/6.14 inference(unit_resolution,[status(thm)],[19084, 19083])).
% 8.18/6.14 tff(19086,plain,
% 8.18/6.14 (~((~v113(constB133)) | (~v126(constB133)))),
% 8.18/6.14 inference(unit_resolution,[status(thm)],[19085, 19078])).
% 8.18/6.14 tff(19087,plain,
% 8.18/6.14 ((~(v112(constB133) <=> (~((~v113(constB133)) | (~v126(constB133)))))) | v112(constB133) | ((~v113(constB133)) | (~v126(constB133)))),
% 8.18/6.14 inference(tautology,[status(thm)],[])).
% 8.18/6.14 tff(19088,plain,
% 8.18/6.14 (v112(constB133)),
% 8.18/6.14 inference(unit_resolution,[status(thm)],[19087, 19086, 19060])).
% 8.18/6.14 tff(19089,plain,
% 8.18/6.14 ((v111(constB133) | v112(constB133)) | (~v112(constB133))),
% 8.18/6.14 inference(tautology,[status(thm)],[])).
% 8.18/6.14 tff(19090,plain,
% 8.18/6.14 (v111(constB133) | v112(constB133)),
% 8.18/6.14 inference(unit_resolution,[status(thm)],[19089, 19088])).
% 8.18/6.14 tff(19091,plain,
% 8.18/6.14 ((~(v108(constB133) <=> (v111(constB133) | v112(constB133)))) | v108(constB133) | (~(v111(constB133) | v112(constB133)))),
% 8.18/6.14 inference(tautology,[status(thm)],[])).
% 8.18/6.14 tff(19092,plain,
% 8.18/6.14 (v108(constB133)),
% 8.18/6.14 inference(unit_resolution,[status(thm)],[19091, 19090, 19058])).
% 8.18/6.14 tff(19093,plain,
% 8.18/6.14 ((~(v110(constB134) <=> v108(constB133))) | v110(constB134) | (~v108(constB133))),
% 8.18/6.14 inference(tautology,[status(thm)],[])).
% 8.18/6.14 tff(19094,plain,
% 8.18/6.14 (v110(constB134)),
% 8.18/6.14 inference(unit_resolution,[status(thm)],[19093, 19092, 19056])).
% 8.18/6.14 tff(19095,plain,
% 8.18/6.14 ((~((~v101(constB134)) | (~v110(constB134)))) | (~v101(constB134)) | (~v110(constB134))),
% 8.18/6.14 inference(tautology,[status(thm)],[])).
% 8.18/6.14 tff(19096,plain,
% 8.18/6.14 (~((~v101(constB134)) | (~v110(constB134)))),
% 8.18/6.14 inference(unit_resolution,[status(thm)],[19095, 19094, 19052])).
% 8.18/6.14 tff(19097,plain,
% 8.18/6.14 ((~(v100(constB134) <=> (~((~v101(constB134)) | (~v110(constB134)))))) | v100(constB134) | ((~v101(constB134)) | (~v110(constB134)))),
% 8.18/6.14 inference(tautology,[status(thm)],[])).
% 8.18/6.14 tff(19098,plain,
% 8.18/6.14 (v100(constB134)),
% 8.18/6.14 inference(unit_resolution,[status(thm)],[19097, 19096, 19024])).
% 8.18/6.14 tff(19099,plain,
% 8.18/6.14 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB134)) | (~(((~v90(constB134, bitIndex0)) <=> v129(constB134, bitIndex0)) | ((~v90(constB134, bitIndex2)) <=> v129(constB134, bitIndex2)) | ((~v90(constB134, bitIndex1)) <=> v129(constB134, bitIndex1)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB134)) | (~(((~v90(constB134, bitIndex0)) <=> v129(constB134, bitIndex0)) | ((~v90(constB134, bitIndex2)) <=> v129(constB134, bitIndex2)) | ((~v90(constB134, bitIndex1)) <=> v129(constB134, bitIndex1)))))),
% 8.18/6.14 inference(rewrite,[status(thm)],[])).
% 8.18/6.14 tff(19100,plain,
% 8.18/6.14 (((~v100(constB134)) | (~(((~v90(constB134, bitIndex2)) <=> v129(constB134, bitIndex2)) | ((~v90(constB134, bitIndex1)) <=> v129(constB134, bitIndex1)) | ((~v90(constB134, bitIndex0)) <=> v129(constB134, bitIndex0))))) <=> ((~v100(constB134)) | (~(((~v90(constB134, bitIndex0)) <=> v129(constB134, bitIndex0)) | ((~v90(constB134, bitIndex2)) <=> v129(constB134, bitIndex2)) | ((~v90(constB134, bitIndex1)) <=> v129(constB134, bitIndex1)))))),
% 8.18/6.14 inference(rewrite,[status(thm)],[])).
% 8.18/6.14 tff(19101,plain,
% 8.18/6.14 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB134)) | (~(((~v90(constB134, bitIndex2)) <=> v129(constB134, bitIndex2)) | ((~v90(constB134, bitIndex1)) <=> v129(constB134, bitIndex1)) | ((~v90(constB134, bitIndex0)) <=> v129(constB134, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB134)) | (~(((~v90(constB134, bitIndex0)) <=> v129(constB134, bitIndex0)) | ((~v90(constB134, bitIndex2)) <=> v129(constB134, bitIndex2)) | ((~v90(constB134, bitIndex1)) <=> v129(constB134, bitIndex1))))))),
% 8.18/6.14 inference(monotonicity,[status(thm)],[19100])).
% 8.18/6.14 tff(19102,plain,
% 8.18/6.14 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB134)) | (~(((~v90(constB134, bitIndex2)) <=> v129(constB134, bitIndex2)) | ((~v90(constB134, bitIndex1)) <=> v129(constB134, bitIndex1)) | ((~v90(constB134, bitIndex0)) <=> v129(constB134, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB134)) | (~(((~v90(constB134, bitIndex0)) <=> v129(constB134, bitIndex0)) | ((~v90(constB134, bitIndex2)) <=> v129(constB134, bitIndex2)) | ((~v90(constB134, bitIndex1)) <=> v129(constB134, bitIndex1)))))),
% 8.18/6.14 inference(transitivity,[status(thm)],[19101, 19099])).
% 8.18/6.14 tff(19103,plain,
% 8.18/6.14 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB134)) | (~(((~v90(constB134, bitIndex2)) <=> v129(constB134, bitIndex2)) | ((~v90(constB134, bitIndex1)) <=> v129(constB134, bitIndex1)) | ((~v90(constB134, bitIndex0)) <=> v129(constB134, bitIndex0)))))),
% 8.18/6.14 inference(quant_inst,[status(thm)],[])).
% 8.18/6.14 tff(19104,plain,
% 8.18/6.14 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB134)) | (~(((~v90(constB134, bitIndex0)) <=> v129(constB134, bitIndex0)) | ((~v90(constB134, bitIndex2)) <=> v129(constB134, bitIndex2)) | ((~v90(constB134, bitIndex1)) <=> v129(constB134, bitIndex1))))),
% 8.18/6.14 inference(modus_ponens,[status(thm)],[19103, 19102])).
% 8.18/6.14 tff(19105,plain,
% 8.18/6.14 ((~v100(constB134)) | (~(((~v90(constB134, bitIndex0)) <=> v129(constB134, bitIndex0)) | ((~v90(constB134, bitIndex2)) <=> v129(constB134, bitIndex2)) | ((~v90(constB134, bitIndex1)) <=> v129(constB134, bitIndex1))))),
% 8.18/6.14 inference(unit_resolution,[status(thm)],[19104, 3429])).
% 8.18/6.14 tff(19106,plain,
% 8.18/6.14 (~(((~v90(constB134, bitIndex0)) <=> v129(constB134, bitIndex0)) | ((~v90(constB134, bitIndex2)) <=> v129(constB134, bitIndex2)) | ((~v90(constB134, bitIndex1)) <=> v129(constB134, bitIndex1)))),
% 8.18/6.14 inference(unit_resolution,[status(thm)],[19105, 19098])).
% 8.18/6.14 tff(19107,plain,
% 8.18/6.14 ((((~v90(constB134, bitIndex0)) <=> v129(constB134, bitIndex0)) | ((~v90(constB134, bitIndex2)) <=> v129(constB134, bitIndex2)) | ((~v90(constB134, bitIndex1)) <=> v129(constB134, bitIndex1))) | (~((~v90(constB134, bitIndex0)) <=> v129(constB134, bitIndex0)))),
% 8.18/6.14 inference(tautology,[status(thm)],[])).
% 8.18/6.14 tff(19108,plain,
% 8.18/6.14 (~((~v90(constB134, bitIndex0)) <=> v129(constB134, bitIndex0))),
% 8.18/6.14 inference(unit_resolution,[status(thm)],[19107, 19106])).
% 8.18/6.14 tff(19109,plain,
% 8.18/6.14 (((~v90(constB134, bitIndex0)) <=> v129(constB134, bitIndex0)) | (~v90(constB134, bitIndex0)) | v129(constB134, bitIndex0)),
% 8.18/6.14 inference(tautology,[status(thm)],[])).
% 8.18/6.14 tff(19110,plain,
% 8.18/6.14 (~v90(constB134, bitIndex0)),
% 8.18/6.14 inference(unit_resolution,[status(thm)],[19109, 19108, 19020])).
% 8.18/6.14 tff(19111,plain,
% 8.18/6.14 (((~v90(constB135, bitIndex0)) <=> v90(constB134, bitIndex0)) | (~v90(constB135, bitIndex0)) | v90(constB134, bitIndex0)),
% 8.18/6.14 inference(tautology,[status(thm)],[])).
% 8.18/6.14 tff(19112,plain,
% 8.18/6.14 (~v90(constB135, bitIndex0)),
% 8.18/6.14 inference(unit_resolution,[status(thm)],[19111, 19110, 16954])).
% 8.18/6.14 tff(19113,plain,
% 8.18/6.14 ((v90(constB135, bitIndex1) | v90(constB135, bitIndex2) | (~v90(constB135, bitIndex0))) | v90(constB135, bitIndex0)),
% 8.18/6.14 inference(tautology,[status(thm)],[])).
% 8.18/6.14 tff(19114,plain,
% 8.18/6.14 (v90(constB135, bitIndex1) | v90(constB135, bitIndex2) | (~v90(constB135, bitIndex0))),
% 8.18/6.14 inference(unit_resolution,[status(thm)],[19113, 19112])).
% 8.18/6.14 tff(19115,plain,
% 8.18/6.14 ((~(v120(constB135) <=> (~(v90(constB135, bitIndex1) | v90(constB135, bitIndex2) | (~v90(constB135, bitIndex0)))))) | (~v120(constB135)) | (~(v90(constB135, bitIndex1) | v90(constB135, bitIndex2) | (~v90(constB135, bitIndex0))))),
% 8.18/6.14 inference(tautology,[status(thm)],[])).
% 8.18/6.14 tff(19116,plain,
% 8.18/6.14 (~v120(constB135)),
% 8.18/6.14 inference(unit_resolution,[status(thm)],[19115, 19114, 16918])).
% 8.18/6.14 tff(19117,plain,
% 8.18/6.14 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB135) <=> (~(v90(constB135, bitIndex1) | (~v90(constB135, bitIndex2)) | (~v90(constB135, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB135) <=> (~(v90(constB135, bitIndex1) | (~v90(constB135, bitIndex2)) | (~v90(constB135, bitIndex0))))))),
% 8.18/6.14 inference(rewrite,[status(thm)],[])).
% 8.18/6.14 tff(19118,plain,
% 8.18/6.14 ((v124(constB135) <=> (~(v90(constB135, bitIndex1) | (~v90(constB135, bitIndex0)) | (~v90(constB135, bitIndex2))))) <=> (v124(constB135) <=> (~(v90(constB135, bitIndex1) | (~v90(constB135, bitIndex2)) | (~v90(constB135, bitIndex0)))))),
% 8.18/6.14 inference(rewrite,[status(thm)],[])).
% 8.18/6.14 tff(19119,plain,
% 8.18/6.14 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB135) <=> (~(v90(constB135, bitIndex1) | (~v90(constB135, bitIndex0)) | (~v90(constB135, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB135) <=> (~(v90(constB135, bitIndex1) | (~v90(constB135, bitIndex2)) | (~v90(constB135, bitIndex0))))))),
% 8.18/6.14 inference(monotonicity,[status(thm)],[19118])).
% 8.18/6.14 tff(19120,plain,
% 8.18/6.14 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB135) <=> (~(v90(constB135, bitIndex1) | (~v90(constB135, bitIndex0)) | (~v90(constB135, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB135) <=> (~(v90(constB135, bitIndex1) | (~v90(constB135, bitIndex2)) | (~v90(constB135, bitIndex0))))))),
% 8.18/6.14 inference(transitivity,[status(thm)],[19119, 19117])).
% 8.18/6.14 tff(19121,plain,
% 8.18/6.14 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB135) <=> (~(v90(constB135, bitIndex1) | (~v90(constB135, bitIndex0)) | (~v90(constB135, bitIndex2)))))),
% 8.18/6.14 inference(quant_inst,[status(thm)],[])).
% 8.18/6.14 tff(19122,plain,
% 8.18/6.14 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB135) <=> (~(v90(constB135, bitIndex1) | (~v90(constB135, bitIndex2)) | (~v90(constB135, bitIndex0)))))),
% 8.18/6.14 inference(modus_ponens,[status(thm)],[19121, 19120])).
% 8.18/6.14 tff(19123,plain,
% 8.18/6.14 (v124(constB135) <=> (~(v90(constB135, bitIndex1) | (~v90(constB135, bitIndex2)) | (~v90(constB135, bitIndex0))))),
% 8.18/6.14 inference(unit_resolution,[status(thm)],[19122, 3613])).
% 8.18/6.14 tff(19124,plain,
% 8.18/6.14 ((v90(constB135, bitIndex1) | (~v90(constB135, bitIndex2)) | (~v90(constB135, bitIndex0))) | v90(constB135, bitIndex0)),
% 8.18/6.14 inference(tautology,[status(thm)],[])).
% 8.18/6.14 tff(19125,plain,
% 8.18/6.14 (v90(constB135, bitIndex1) | (~v90(constB135, bitIndex2)) | (~v90(constB135, bitIndex0))),
% 8.18/6.14 inference(unit_resolution,[status(thm)],[19124, 19112])).
% 8.18/6.14 tff(19126,plain,
% 8.18/6.14 ((~(v124(constB135) <=> (~(v90(constB135, bitIndex1) | (~v90(constB135, bitIndex2)) | (~v90(constB135, bitIndex0)))))) | (~v124(constB135)) | (~(v90(constB135, bitIndex1) | (~v90(constB135, bitIndex2)) | (~v90(constB135, bitIndex0))))),
% 8.18/6.14 inference(tautology,[status(thm)],[])).
% 8.18/6.14 tff(19127,plain,
% 8.18/6.14 (~v124(constB135)),
% 8.18/6.14 inference(unit_resolution,[status(thm)],[19126, 19125, 19123])).
% 8.18/6.14 tff(19128,plain,
% 8.18/6.14 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB135) <=> (~(v90(constB135, bitIndex1) | v90(constB135, bitIndex0) | (~v90(constB135, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB135) <=> (~(v90(constB135, bitIndex1) | v90(constB135, bitIndex0) | (~v90(constB135, bitIndex2))))))),
% 8.18/6.14 inference(rewrite,[status(thm)],[])).
% 8.18/6.14 tff(19129,plain,
% 8.18/6.14 ((v123(constB135) <=> (~(v90(constB135, bitIndex0) | v90(constB135, bitIndex1) | (~v90(constB135, bitIndex2))))) <=> (v123(constB135) <=> (~(v90(constB135, bitIndex1) | v90(constB135, bitIndex0) | (~v90(constB135, bitIndex2)))))),
% 8.18/6.14 inference(rewrite,[status(thm)],[])).
% 8.18/6.14 tff(19130,plain,
% 8.18/6.14 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB135) <=> (~(v90(constB135, bitIndex0) | v90(constB135, bitIndex1) | (~v90(constB135, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB135) <=> (~(v90(constB135, bitIndex1) | v90(constB135, bitIndex0) | (~v90(constB135, bitIndex2))))))),
% 8.18/6.14 inference(monotonicity,[status(thm)],[19129])).
% 8.18/6.14 tff(19131,plain,
% 8.18/6.14 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB135) <=> (~(v90(constB135, bitIndex0) | v90(constB135, bitIndex1) | (~v90(constB135, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB135) <=> (~(v90(constB135, bitIndex1) | v90(constB135, bitIndex0) | (~v90(constB135, bitIndex2))))))),
% 8.18/6.14 inference(transitivity,[status(thm)],[19130, 19128])).
% 8.18/6.14 tff(19132,plain,
% 8.18/6.14 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB135) <=> (~(v90(constB135, bitIndex0) | v90(constB135, bitIndex1) | (~v90(constB135, bitIndex2)))))),
% 8.18/6.14 inference(quant_inst,[status(thm)],[])).
% 8.18/6.14 tff(19133,plain,
% 8.18/6.14 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB135) <=> (~(v90(constB135, bitIndex1) | v90(constB135, bitIndex0) | (~v90(constB135, bitIndex2)))))),
% 8.18/6.14 inference(modus_ponens,[status(thm)],[19132, 19131])).
% 8.18/6.14 tff(19134,plain,
% 8.18/6.14 (v123(constB135) <=> (~(v90(constB135, bitIndex1) | v90(constB135, bitIndex0) | (~v90(constB135, bitIndex2))))),
% 8.18/6.14 inference(unit_resolution,[status(thm)],[19133, 800])).
% 8.18/6.14 tff(19135,plain,
% 8.18/6.14 ((((~v90(constB135, bitIndex1)) <=> v90(constB134, bitIndex1)) | ((~v90(constB135, bitIndex2)) <=> v90(constB134, bitIndex2)) | ((~v90(constB135, bitIndex0)) <=> v90(constB134, bitIndex0))) | (~((~v90(constB135, bitIndex1)) <=> v90(constB134, bitIndex1)))),
% 8.18/6.14 inference(tautology,[status(thm)],[])).
% 8.18/6.14 tff(19136,plain,
% 8.18/6.14 (~((~v90(constB135, bitIndex1)) <=> v90(constB134, bitIndex1))),
% 8.18/6.14 inference(unit_resolution,[status(thm)],[19135, 16952])).
% 8.18/6.14 tff(19137,plain,
% 8.18/6.14 ((((~v129(constB134, bitIndex2)) <=> v127(constB133, bitIndex2)) | ((~v129(constB134, bitIndex1)) <=> v127(constB133, bitIndex1)) | ((~v129(constB134, bitIndex0)) <=> v127(constB133, bitIndex0))) | (~((~v129(constB134, bitIndex1)) <=> v127(constB133, bitIndex1)))),
% 8.18/6.14 inference(tautology,[status(thm)],[])).
% 8.18/6.14 tff(19138,plain,
% 8.18/6.14 (~((~v129(constB134, bitIndex1)) <=> v127(constB133, bitIndex1))),
% 8.18/6.14 inference(unit_resolution,[status(thm)],[19137, 16961])).
% 8.18/6.14 tff(19139,plain,
% 8.18/6.14 ((((~v127(constB133, bitIndex2)) <=> v130(constB133, bitIndex2)) | ((~v127(constB133, bitIndex1)) <=> v130(constB133, bitIndex1)) | ((~v127(constB133, bitIndex0)) <=> v130(constB133, bitIndex0))) | (~((~v127(constB133, bitIndex1)) <=> v130(constB133, bitIndex1)))),
% 8.18/6.14 inference(tautology,[status(thm)],[])).
% 8.18/6.14 tff(19140,plain,
% 8.18/6.14 (~((~v127(constB133, bitIndex1)) <=> v130(constB133, bitIndex1))),
% 8.18/6.14 inference(unit_resolution,[status(thm)],[19139, 16975])).
% 8.18/6.14 tff(19141,plain,
% 8.18/6.14 ((v130(constB133, bitIndex0) | (~v130(constB133, bitIndex2)) | (~v130(constB133, bitIndex1))) | v130(constB133, bitIndex1)),
% 8.18/6.14 inference(tautology,[status(thm)],[])).
% 8.18/6.14 tff(19142,plain,
% 8.18/6.14 (v130(constB133, bitIndex1)),
% 8.18/6.14 inference(unit_resolution,[status(thm)],[19141, 19014])).
% 8.18/6.14 tff(19143,plain,
% 8.18/6.14 (((~v127(constB133, bitIndex1)) <=> v130(constB133, bitIndex1)) | v127(constB133, bitIndex1) | (~v130(constB133, bitIndex1))),
% 8.18/6.14 inference(tautology,[status(thm)],[])).
% 8.18/6.14 tff(19144,plain,
% 8.18/6.14 (v127(constB133, bitIndex1)),
% 8.18/6.14 inference(unit_resolution,[status(thm)],[19143, 19142, 19140])).
% 8.18/6.14 tff(19145,plain,
% 8.18/6.14 (((~v129(constB134, bitIndex1)) <=> v127(constB133, bitIndex1)) | v129(constB134, bitIndex1) | (~v127(constB133, bitIndex1))),
% 8.18/6.14 inference(tautology,[status(thm)],[])).
% 8.18/6.14 tff(19146,plain,
% 8.18/6.14 (v129(constB134, bitIndex1)),
% 8.18/6.14 inference(unit_resolution,[status(thm)],[19145, 19144, 19138])).
% 8.18/6.14 tff(19147,plain,
% 8.18/6.14 ((((~v90(constB134, bitIndex0)) <=> v129(constB134, bitIndex0)) | ((~v90(constB134, bitIndex2)) <=> v129(constB134, bitIndex2)) | ((~v90(constB134, bitIndex1)) <=> v129(constB134, bitIndex1))) | (~((~v90(constB134, bitIndex1)) <=> v129(constB134, bitIndex1)))),
% 8.18/6.14 inference(tautology,[status(thm)],[])).
% 8.18/6.14 tff(19148,plain,
% 8.18/6.14 (~((~v90(constB134, bitIndex1)) <=> v129(constB134, bitIndex1))),
% 8.18/6.14 inference(unit_resolution,[status(thm)],[19147, 19106])).
% 8.18/6.14 tff(19149,plain,
% 8.18/6.14 (((~v90(constB134, bitIndex1)) <=> v129(constB134, bitIndex1)) | v90(constB134, bitIndex1) | (~v129(constB134, bitIndex1))),
% 8.18/6.14 inference(tautology,[status(thm)],[])).
% 8.18/6.14 tff(19150,plain,
% 8.18/6.14 (v90(constB134, bitIndex1)),
% 8.18/6.14 inference(unit_resolution,[status(thm)],[19149, 19148, 19146])).
% 8.18/6.14 tff(19151,plain,
% 8.18/6.14 (((~v90(constB135, bitIndex1)) <=> v90(constB134, bitIndex1)) | v90(constB135, bitIndex1) | (~v90(constB134, bitIndex1))),
% 8.18/6.14 inference(tautology,[status(thm)],[])).
% 8.18/6.14 tff(19152,plain,
% 8.18/6.14 (v90(constB135, bitIndex1)),
% 8.18/6.14 inference(unit_resolution,[status(thm)],[19151, 19150, 19136])).
% 8.18/6.14 tff(19153,plain,
% 8.18/6.14 ((v90(constB135, bitIndex1) | v90(constB135, bitIndex0) | (~v90(constB135, bitIndex2))) | (~v90(constB135, bitIndex1))),
% 8.18/6.14 inference(tautology,[status(thm)],[])).
% 8.18/6.14 tff(19154,plain,
% 8.18/6.14 (v90(constB135, bitIndex1) | v90(constB135, bitIndex0) | (~v90(constB135, bitIndex2))),
% 8.18/6.14 inference(unit_resolution,[status(thm)],[19153, 19152])).
% 8.18/6.14 tff(19155,plain,
% 8.18/6.14 ((~(v123(constB135) <=> (~(v90(constB135, bitIndex1) | v90(constB135, bitIndex0) | (~v90(constB135, bitIndex2)))))) | (~v123(constB135)) | (~(v90(constB135, bitIndex1) | v90(constB135, bitIndex0) | (~v90(constB135, bitIndex2))))),
% 8.18/6.14 inference(tautology,[status(thm)],[])).
% 8.18/6.14 tff(19156,plain,
% 8.18/6.14 (~v123(constB135)),
% 8.18/6.14 inference(unit_resolution,[status(thm)],[19155, 19154, 19134])).
% 8.18/6.14 tff(19157,plain,
% 8.18/6.14 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB135) <=> (~(v90(constB135, bitIndex2) | (~v90(constB135, bitIndex1)) | (~v90(constB135, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB135) <=> (~(v90(constB135, bitIndex2) | (~v90(constB135, bitIndex1)) | (~v90(constB135, bitIndex0))))))),
% 8.18/6.14 inference(rewrite,[status(thm)],[])).
% 8.18/6.15 tff(19158,plain,
% 8.18/6.15 ((v122(constB135) <=> (~(v90(constB135, bitIndex2) | (~v90(constB135, bitIndex0)) | (~v90(constB135, bitIndex1))))) <=> (v122(constB135) <=> (~(v90(constB135, bitIndex2) | (~v90(constB135, bitIndex1)) | (~v90(constB135, bitIndex0)))))),
% 8.18/6.15 inference(rewrite,[status(thm)],[])).
% 8.18/6.15 tff(19159,plain,
% 8.18/6.15 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB135) <=> (~(v90(constB135, bitIndex2) | (~v90(constB135, bitIndex0)) | (~v90(constB135, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB135) <=> (~(v90(constB135, bitIndex2) | (~v90(constB135, bitIndex1)) | (~v90(constB135, bitIndex0))))))),
% 8.18/6.15 inference(monotonicity,[status(thm)],[19158])).
% 8.18/6.15 tff(19160,plain,
% 8.18/6.15 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB135) <=> (~(v90(constB135, bitIndex2) | (~v90(constB135, bitIndex0)) | (~v90(constB135, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB135) <=> (~(v90(constB135, bitIndex2) | (~v90(constB135, bitIndex1)) | (~v90(constB135, bitIndex0))))))),
% 8.18/6.15 inference(transitivity,[status(thm)],[19159, 19157])).
% 8.18/6.15 tff(19161,plain,
% 8.18/6.15 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB135) <=> (~(v90(constB135, bitIndex2) | (~v90(constB135, bitIndex0)) | (~v90(constB135, bitIndex1)))))),
% 8.18/6.15 inference(quant_inst,[status(thm)],[])).
% 8.18/6.15 tff(19162,plain,
% 8.18/6.15 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB135) <=> (~(v90(constB135, bitIndex2) | (~v90(constB135, bitIndex1)) | (~v90(constB135, bitIndex0)))))),
% 8.18/6.15 inference(modus_ponens,[status(thm)],[19161, 19160])).
% 8.18/6.15 tff(19163,plain,
% 8.18/6.15 (v122(constB135) <=> (~(v90(constB135, bitIndex2) | (~v90(constB135, bitIndex1)) | (~v90(constB135, bitIndex0))))),
% 8.18/6.15 inference(unit_resolution,[status(thm)],[19162, 879])).
% 8.18/6.15 tff(19164,plain,
% 8.18/6.15 ((v90(constB135, bitIndex2) | (~v90(constB135, bitIndex1)) | (~v90(constB135, bitIndex0))) | v90(constB135, bitIndex0)),
% 8.18/6.15 inference(tautology,[status(thm)],[])).
% 8.18/6.15 tff(19165,plain,
% 8.18/6.15 (v90(constB135, bitIndex2) | (~v90(constB135, bitIndex1)) | (~v90(constB135, bitIndex0))),
% 8.18/6.15 inference(unit_resolution,[status(thm)],[19164, 19112])).
% 8.18/6.15 tff(19166,plain,
% 8.18/6.15 ((~(v122(constB135) <=> (~(v90(constB135, bitIndex2) | (~v90(constB135, bitIndex1)) | (~v90(constB135, bitIndex0)))))) | (~v122(constB135)) | (~(v90(constB135, bitIndex2) | (~v90(constB135, bitIndex1)) | (~v90(constB135, bitIndex0))))),
% 8.18/6.15 inference(tautology,[status(thm)],[])).
% 8.18/6.15 tff(19167,plain,
% 8.18/6.15 (~v122(constB135)),
% 8.18/6.15 inference(unit_resolution,[status(thm)],[19166, 19165, 19163])).
% 8.18/6.15 tff(19168,plain,
% 8.18/6.15 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB135) <=> (~(v90(constB135, bitIndex2) | v90(constB135, bitIndex0) | (~v90(constB135, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB135) <=> (~(v90(constB135, bitIndex2) | v90(constB135, bitIndex0) | (~v90(constB135, bitIndex1))))))),
% 8.18/6.15 inference(rewrite,[status(thm)],[])).
% 8.18/6.15 tff(19169,plain,
% 8.18/6.15 ((v121(constB135) <=> (~(v90(constB135, bitIndex0) | v90(constB135, bitIndex2) | (~v90(constB135, bitIndex1))))) <=> (v121(constB135) <=> (~(v90(constB135, bitIndex2) | v90(constB135, bitIndex0) | (~v90(constB135, bitIndex1)))))),
% 8.18/6.15 inference(rewrite,[status(thm)],[])).
% 8.18/6.15 tff(19170,plain,
% 8.18/6.15 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB135) <=> (~(v90(constB135, bitIndex0) | v90(constB135, bitIndex2) | (~v90(constB135, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB135) <=> (~(v90(constB135, bitIndex2) | v90(constB135, bitIndex0) | (~v90(constB135, bitIndex1))))))),
% 8.18/6.15 inference(monotonicity,[status(thm)],[19169])).
% 8.18/6.15 tff(19171,plain,
% 8.18/6.15 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB135) <=> (~(v90(constB135, bitIndex0) | v90(constB135, bitIndex2) | (~v90(constB135, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB135) <=> (~(v90(constB135, bitIndex2) | v90(constB135, bitIndex0) | (~v90(constB135, bitIndex1))))))),
% 8.18/6.15 inference(transitivity,[status(thm)],[19170, 19168])).
% 8.18/6.15 tff(19172,plain,
% 8.18/6.15 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB135) <=> (~(v90(constB135, bitIndex0) | v90(constB135, bitIndex2) | (~v90(constB135, bitIndex1)))))),
% 8.18/6.15 inference(quant_inst,[status(thm)],[])).
% 8.18/6.15 tff(19173,plain,
% 8.18/6.15 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB135) <=> (~(v90(constB135, bitIndex2) | v90(constB135, bitIndex0) | (~v90(constB135, bitIndex1)))))),
% 8.18/6.15 inference(modus_ponens,[status(thm)],[19172, 19171])).
% 8.18/6.15 tff(19174,plain,
% 8.18/6.15 (v121(constB135) <=> (~(v90(constB135, bitIndex2) | v90(constB135, bitIndex0) | (~v90(constB135, bitIndex1))))),
% 8.18/6.15 inference(unit_resolution,[status(thm)],[19173, 586])).
% 8.18/6.15 tff(19175,plain,
% 8.18/6.15 ((((~v90(constB135, bitIndex1)) <=> v90(constB134, bitIndex1)) | ((~v90(constB135, bitIndex2)) <=> v90(constB134, bitIndex2)) | ((~v90(constB135, bitIndex0)) <=> v90(constB134, bitIndex0))) | (~((~v90(constB135, bitIndex2)) <=> v90(constB134, bitIndex2)))),
% 8.18/6.15 inference(tautology,[status(thm)],[])).
% 8.18/6.15 tff(19176,plain,
% 8.18/6.15 (~((~v90(constB135, bitIndex2)) <=> v90(constB134, bitIndex2))),
% 8.18/6.15 inference(unit_resolution,[status(thm)],[19175, 16952])).
% 8.18/6.15 tff(19177,plain,
% 8.18/6.15 ((((~v129(constB134, bitIndex2)) <=> v127(constB133, bitIndex2)) | ((~v129(constB134, bitIndex1)) <=> v127(constB133, bitIndex1)) | ((~v129(constB134, bitIndex0)) <=> v127(constB133, bitIndex0))) | (~((~v129(constB134, bitIndex2)) <=> v127(constB133, bitIndex2)))),
% 8.18/6.15 inference(tautology,[status(thm)],[])).
% 8.18/6.15 tff(19178,plain,
% 8.18/6.15 (~((~v129(constB134, bitIndex2)) <=> v127(constB133, bitIndex2))),
% 8.18/6.15 inference(unit_resolution,[status(thm)],[19177, 16961])).
% 8.18/6.15 tff(19179,plain,
% 8.18/6.15 ((((~v127(constB133, bitIndex2)) <=> v130(constB133, bitIndex2)) | ((~v127(constB133, bitIndex1)) <=> v130(constB133, bitIndex1)) | ((~v127(constB133, bitIndex0)) <=> v130(constB133, bitIndex0))) | (~((~v127(constB133, bitIndex2)) <=> v130(constB133, bitIndex2)))),
% 8.18/6.15 inference(tautology,[status(thm)],[])).
% 8.18/6.15 tff(19180,plain,
% 8.18/6.15 (~((~v127(constB133, bitIndex2)) <=> v130(constB133, bitIndex2))),
% 8.18/6.15 inference(unit_resolution,[status(thm)],[19179, 16975])).
% 8.18/6.15 tff(19181,plain,
% 8.18/6.15 ((v130(constB133, bitIndex0) | (~v130(constB133, bitIndex2)) | (~v130(constB133, bitIndex1))) | v130(constB133, bitIndex2)),
% 8.18/6.15 inference(tautology,[status(thm)],[])).
% 8.18/6.15 tff(19182,plain,
% 8.18/6.15 (v130(constB133, bitIndex2)),
% 8.18/6.15 inference(unit_resolution,[status(thm)],[19181, 19014])).
% 8.18/6.15 tff(19183,plain,
% 8.18/6.15 (((~v127(constB133, bitIndex2)) <=> v130(constB133, bitIndex2)) | v127(constB133, bitIndex2) | (~v130(constB133, bitIndex2))),
% 8.18/6.15 inference(tautology,[status(thm)],[])).
% 8.18/6.15 tff(19184,plain,
% 8.18/6.15 (v127(constB133, bitIndex2)),
% 8.18/6.15 inference(unit_resolution,[status(thm)],[19183, 19182, 19180])).
% 8.18/6.15 tff(19185,plain,
% 8.18/6.15 (((~v129(constB134, bitIndex2)) <=> v127(constB133, bitIndex2)) | v129(constB134, bitIndex2) | (~v127(constB133, bitIndex2))),
% 8.18/6.15 inference(tautology,[status(thm)],[])).
% 8.18/6.15 tff(19186,plain,
% 8.18/6.15 (v129(constB134, bitIndex2)),
% 8.18/6.15 inference(unit_resolution,[status(thm)],[19185, 19184, 19178])).
% 8.18/6.15 tff(19187,plain,
% 8.18/6.15 ((((~v90(constB134, bitIndex0)) <=> v129(constB134, bitIndex0)) | ((~v90(constB134, bitIndex2)) <=> v129(constB134, bitIndex2)) | ((~v90(constB134, bitIndex1)) <=> v129(constB134, bitIndex1))) | (~((~v90(constB134, bitIndex2)) <=> v129(constB134, bitIndex2)))),
% 8.18/6.15 inference(tautology,[status(thm)],[])).
% 8.18/6.15 tff(19188,plain,
% 8.18/6.15 (~((~v90(constB134, bitIndex2)) <=> v129(constB134, bitIndex2))),
% 8.18/6.15 inference(unit_resolution,[status(thm)],[19187, 19106])).
% 8.18/6.15 tff(19189,plain,
% 8.18/6.15 (((~v90(constB134, bitIndex2)) <=> v129(constB134, bitIndex2)) | v90(constB134, bitIndex2) | (~v129(constB134, bitIndex2))),
% 8.18/6.15 inference(tautology,[status(thm)],[])).
% 8.18/6.15 tff(19190,plain,
% 8.18/6.15 (v90(constB134, bitIndex2)),
% 8.18/6.15 inference(unit_resolution,[status(thm)],[19189, 19188, 19186])).
% 8.18/6.15 tff(19191,plain,
% 8.18/6.15 (((~v90(constB135, bitIndex2)) <=> v90(constB134, bitIndex2)) | v90(constB135, bitIndex2) | (~v90(constB134, bitIndex2))),
% 8.18/6.15 inference(tautology,[status(thm)],[])).
% 8.18/6.15 tff(19192,plain,
% 8.18/6.15 (v90(constB135, bitIndex2)),
% 8.18/6.15 inference(unit_resolution,[status(thm)],[19191, 19190, 19176])).
% 8.18/6.15 tff(19193,plain,
% 8.18/6.15 ((v90(constB135, bitIndex2) | v90(constB135, bitIndex0) | (~v90(constB135, bitIndex1))) | (~v90(constB135, bitIndex2))),
% 8.18/6.15 inference(tautology,[status(thm)],[])).
% 8.18/6.15 tff(19194,plain,
% 8.18/6.15 (v90(constB135, bitIndex2) | v90(constB135, bitIndex0) | (~v90(constB135, bitIndex1))),
% 8.18/6.15 inference(unit_resolution,[status(thm)],[19193, 19192])).
% 8.18/6.15 tff(19195,plain,
% 8.18/6.15 ((~(v121(constB135) <=> (~(v90(constB135, bitIndex2) | v90(constB135, bitIndex0) | (~v90(constB135, bitIndex1)))))) | (~v121(constB135)) | (~(v90(constB135, bitIndex2) | v90(constB135, bitIndex0) | (~v90(constB135, bitIndex1))))),
% 8.18/6.15 inference(tautology,[status(thm)],[])).
% 8.18/6.15 tff(19196,plain,
% 8.18/6.15 (~v121(constB135)),
% 8.18/6.15 inference(unit_resolution,[status(thm)],[19195, 19194, 19174])).
% 8.18/6.15 tff(19197,plain,
% 8.18/6.15 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB135) <=> (~(v90(constB135, bitIndex0) | v90(constB135, bitIndex1) | v90(constB135, bitIndex2))))),
% 8.18/6.15 inference(quant_inst,[status(thm)],[])).
% 8.18/6.15 tff(19198,plain,
% 8.18/6.15 (v119(constB135) <=> (~(v90(constB135, bitIndex0) | v90(constB135, bitIndex1) | v90(constB135, bitIndex2)))),
% 8.18/6.15 inference(unit_resolution,[status(thm)],[19197, 1085])).
% 8.18/6.15 tff(19199,plain,
% 8.18/6.15 ((v90(constB135, bitIndex0) | v90(constB135, bitIndex1) | v90(constB135, bitIndex2)) | (~v90(constB135, bitIndex2))),
% 8.18/6.15 inference(tautology,[status(thm)],[])).
% 8.18/6.15 tff(19200,plain,
% 8.18/6.15 (v90(constB135, bitIndex0) | v90(constB135, bitIndex1) | v90(constB135, bitIndex2)),
% 8.18/6.15 inference(unit_resolution,[status(thm)],[19199, 19192])).
% 8.18/6.15 tff(19201,plain,
% 8.18/6.15 ((~(v119(constB135) <=> (~(v90(constB135, bitIndex0) | v90(constB135, bitIndex1) | v90(constB135, bitIndex2))))) | (~v119(constB135)) | (~(v90(constB135, bitIndex0) | v90(constB135, bitIndex1) | v90(constB135, bitIndex2)))),
% 8.18/6.15 inference(tautology,[status(thm)],[])).
% 8.18/6.15 tff(19202,plain,
% 8.18/6.15 (~v119(constB135)),
% 8.18/6.15 inference(unit_resolution,[status(thm)],[19201, 19200, 19198])).
% 8.18/6.15 tff(19203,plain,
% 8.18/6.15 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v119(constB135) | v120(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | (~(v130(constB135, bitIndex2) | v130(constB135, bitIndex1) | (~v130(constB135, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | v119(constB135) | v120(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | (~(v130(constB135, bitIndex2) | v130(constB135, bitIndex1) | (~v130(constB135, bitIndex0)))))),
% 8.18/6.15 inference(rewrite,[status(thm)],[])).
% 8.18/6.15 tff(19204,plain,
% 8.18/6.15 ((v124(constB135) | v123(constB135) | v122(constB135) | v121(constB135) | v120(constB135) | v119(constB135) | (~(v130(constB135, bitIndex2) | v130(constB135, bitIndex1) | (~v130(constB135, bitIndex0))))) <=> (v119(constB135) | v120(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | (~(v130(constB135, bitIndex2) | v130(constB135, bitIndex1) | (~v130(constB135, bitIndex0)))))),
% 8.18/6.15 inference(rewrite,[status(thm)],[])).
% 8.18/6.15 tff(19205,plain,
% 8.18/6.15 ((~(v130(constB135, bitIndex1) | v130(constB135, bitIndex2) | (~v130(constB135, bitIndex0)))) <=> (~(v130(constB135, bitIndex2) | v130(constB135, bitIndex1) | (~v130(constB135, bitIndex0))))),
% 8.18/6.15 inference(rewrite,[status(thm)],[])).
% 8.18/6.15 tff(19206,plain,
% 8.18/6.15 ((v124(constB135) | v123(constB135) | v122(constB135) | v121(constB135) | v120(constB135) | v119(constB135) | (~(v130(constB135, bitIndex1) | v130(constB135, bitIndex2) | (~v130(constB135, bitIndex0))))) <=> (v124(constB135) | v123(constB135) | v122(constB135) | v121(constB135) | v120(constB135) | v119(constB135) | (~(v130(constB135, bitIndex2) | v130(constB135, bitIndex1) | (~v130(constB135, bitIndex0)))))),
% 8.18/6.15 inference(monotonicity,[status(thm)],[19205])).
% 8.18/6.15 tff(19207,plain,
% 8.18/6.15 ((v124(constB135) | v123(constB135) | v122(constB135) | v121(constB135) | v120(constB135) | v119(constB135) | (~(v130(constB135, bitIndex1) | v130(constB135, bitIndex2) | (~v130(constB135, bitIndex0))))) <=> (v119(constB135) | v120(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | (~(v130(constB135, bitIndex2) | v130(constB135, bitIndex1) | (~v130(constB135, bitIndex0)))))),
% 8.18/6.15 inference(transitivity,[status(thm)],[19206, 19204])).
% 8.18/6.15 tff(19208,plain,
% 8.18/6.15 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB135) | v123(constB135) | v122(constB135) | v121(constB135) | v120(constB135) | v119(constB135) | (~(v130(constB135, bitIndex1) | v130(constB135, bitIndex2) | (~v130(constB135, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v119(constB135) | v120(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | (~(v130(constB135, bitIndex2) | v130(constB135, bitIndex1) | (~v130(constB135, bitIndex0))))))),
% 8.18/6.15 inference(monotonicity,[status(thm)],[19207])).
% 8.18/6.15 tff(19209,plain,
% 8.18/6.15 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB135) | v123(constB135) | v122(constB135) | v121(constB135) | v120(constB135) | v119(constB135) | (~(v130(constB135, bitIndex1) | v130(constB135, bitIndex2) | (~v130(constB135, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | v119(constB135) | v120(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | (~(v130(constB135, bitIndex2) | v130(constB135, bitIndex1) | (~v130(constB135, bitIndex0)))))),
% 8.18/6.15 inference(transitivity,[status(thm)],[19208, 19203])).
% 8.18/6.15 tff(19210,plain,
% 8.18/6.15 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB135) | v123(constB135) | v122(constB135) | v121(constB135) | v120(constB135) | v119(constB135) | (~(v130(constB135, bitIndex1) | v130(constB135, bitIndex2) | (~v130(constB135, bitIndex0)))))),
% 8.18/6.15 inference(quant_inst,[status(thm)],[])).
% 8.18/6.15 tff(19211,plain,
% 8.18/6.15 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | v119(constB135) | v120(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | (~(v130(constB135, bitIndex2) | v130(constB135, bitIndex1) | (~v130(constB135, bitIndex0))))),
% 8.18/6.15 inference(modus_ponens,[status(thm)],[19210, 19209])).
% 8.18/6.15 tff(19212,plain,
% 8.18/6.15 (v119(constB135) | v120(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | (~(v130(constB135, bitIndex2) | v130(constB135, bitIndex1) | (~v130(constB135, bitIndex0))))),
% 8.18/6.15 inference(unit_resolution,[status(thm)],[19211, 3694])).
% 8.18/6.15 tff(19213,plain,
% 8.18/6.15 (~(v130(constB135, bitIndex2) | v130(constB135, bitIndex1) | (~v130(constB135, bitIndex0)))),
% 8.18/6.15 inference(unit_resolution,[status(thm)],[19212, 19202, 19196, 19167, 19156, 19127, 19116])).
% 8.18/6.15 tff(19214,plain,
% 8.18/6.15 ((v130(constB135, bitIndex2) | v130(constB135, bitIndex1) | (~v130(constB135, bitIndex0))) | (~v130(constB135, bitIndex2))),
% 8.18/6.15 inference(tautology,[status(thm)],[])).
% 8.18/6.15 tff(19215,plain,
% 8.18/6.15 (~v130(constB135, bitIndex2)),
% 8.18/6.15 inference(unit_resolution,[status(thm)],[19214, 19213])).
% 8.18/6.15 tff(19216,plain,
% 8.18/6.15 (((~v127(constB135, bitIndex2)) <=> v130(constB135, bitIndex2)) | (~v127(constB135, bitIndex2)) | v130(constB135, bitIndex2)),
% 8.18/6.15 inference(tautology,[status(thm)],[])).
% 8.18/6.15 tff(19217,plain,
% 8.18/6.15 (~v127(constB135, bitIndex2)),
% 8.18/6.15 inference(unit_resolution,[status(thm)],[19216, 19215, 16916])).
% 8.18/6.15 tff(19218,plain,
% 8.18/6.15 (((~v129(constB136, bitIndex2)) <=> v127(constB135, bitIndex2)) | (~v129(constB136, bitIndex2)) | v127(constB135, bitIndex2)),
% 8.18/6.15 inference(tautology,[status(thm)],[])).
% 8.18/6.15 tff(19219,plain,
% 8.18/6.15 (~v129(constB136, bitIndex2)),
% 8.18/6.15 inference(unit_resolution,[status(thm)],[19218, 19217, 16902])).
% 8.18/6.15 tff(19220,plain,
% 8.18/6.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB135, constB136)) | (v100(constB136) <=> (~((~v101(constB136)) | (~v110(constB136))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB135, constB136)) | (v100(constB136) <=> (~((~v101(constB136)) | (~v110(constB136))))))),
% 8.18/6.15 inference(rewrite,[status(thm)],[])).
% 8.18/6.15 tff(19221,plain,
% 8.18/6.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB135, constB136)) | (v100(constB136) <=> (~((~v101(constB136)) | (~v110(constB136))))))),
% 8.18/6.15 inference(quant_inst,[status(thm)],[])).
% 8.18/6.15 tff(19222,plain,
% 8.18/6.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB135, constB136)) | (v100(constB136) <=> (~((~v101(constB136)) | (~v110(constB136)))))),
% 8.18/6.15 inference(modus_ponens,[status(thm)],[19221, 19220])).
% 8.18/6.15 tff(19223,plain,
% 8.18/6.15 (v100(constB136) <=> (~((~v101(constB136)) | (~v110(constB136))))),
% 8.18/6.15 inference(unit_resolution,[status(thm)],[19222, 16896, 445])).
% 8.18/6.15 tff(19224,plain,
% 8.18/6.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB135, constB136)) | (v101(constB136) <=> (~((~v1(constB136)) | (~v102(constB136))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB135, constB136)) | (v101(constB136) <=> (~((~v1(constB136)) | (~v102(constB136))))))),
% 8.18/6.15 inference(rewrite,[status(thm)],[])).
% 8.18/6.15 tff(19225,plain,
% 8.18/6.15 (((~nextState(constB135, constB136)) | (v101(constB136) <=> (~((~v102(constB136)) | (~v1(constB136)))))) <=> ((~nextState(constB135, constB136)) | (v101(constB136) <=> (~((~v1(constB136)) | (~v102(constB136))))))),
% 8.18/6.15 inference(rewrite,[status(thm)],[])).
% 8.18/6.15 tff(19226,plain,
% 8.18/6.15 (((~![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) <=> (~((~v1(constB136)) | (~v102(constB136)))))))),
% 8.18/6.15 inference(monotonicity,[status(thm)],[19225])).
% 8.18/6.15 tff(19227,plain,
% 8.18/6.15 (((~![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) <=> (~((~v1(constB136)) | (~v102(constB136))))))),
% 8.18/6.15 inference(transitivity,[status(thm)],[19226, 19224])).
% 8.18/6.15 tff(19228,plain,
% 8.18/6.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB135, constB136)) | (v101(constB136) <=> (~((~v102(constB136)) | (~v1(constB136))))))),
% 8.18/6.15 inference(quant_inst,[status(thm)],[])).
% 8.18/6.15 tff(19229,plain,
% 8.18/6.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB135, constB136)) | (v101(constB136) <=> (~((~v1(constB136)) | (~v102(constB136)))))),
% 8.18/6.15 inference(modus_ponens,[status(thm)],[19228, 19227])).
% 8.18/6.15 tff(19230,plain,
% 8.18/6.15 (v101(constB136) <=> (~((~v1(constB136)) | (~v102(constB136))))),
% 8.18/6.15 inference(unit_resolution,[status(thm)],[19229, 16896, 465])).
% 8.18/6.15 tff(19231,plain,
% 8.18/6.15 (((~![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)))),
% 8.18/6.15 inference(rewrite,[status(thm)],[])).
% 8.18/6.15 tff(19232,plain,
% 8.18/6.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB135, constB136)) | ((~v102(constB136)) <=> v104(constB136)))),
% 8.18/6.15 inference(quant_inst,[status(thm)],[])).
% 8.18/6.15 tff(19233,plain,
% 8.18/6.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB135, constB136)) | ((~v102(constB136)) <=> v104(constB136))),
% 8.18/6.15 inference(modus_ponens,[status(thm)],[19232, 19231])).
% 8.18/6.15 tff(19234,plain,
% 8.18/6.15 ((~v102(constB136)) <=> v104(constB136)),
% 8.18/6.15 inference(unit_resolution,[status(thm)],[19233, 16896, 3244])).
% 8.18/6.15 tff(19235,plain,
% 8.18/6.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB135, constB136)) | (v104(constB136) <=> v1(constB135)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB135, constB136)) | (v104(constB136) <=> v1(constB135)))),
% 8.18/6.15 inference(rewrite,[status(thm)],[])).
% 8.18/6.15 tff(19236,plain,
% 8.18/6.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB135, constB136)) | (v104(constB136) <=> v1(constB135)))),
% 8.18/6.15 inference(quant_inst,[status(thm)],[])).
% 8.18/6.15 tff(19237,plain,
% 8.18/6.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB135, constB136)) | (v104(constB136) <=> v1(constB135))),
% 8.18/6.15 inference(modus_ponens,[status(thm)],[19236, 19235])).
% 8.18/6.15 tff(19238,plain,
% 8.18/6.15 (v104(constB136) <=> v1(constB135)),
% 8.18/6.15 inference(unit_resolution,[status(thm)],[19237, 16896, 3258])).
% 8.18/6.15 tff(19239,plain,
% 8.18/6.15 ((~(v104(constB136) <=> v1(constB135))) | (~v104(constB136)) | v1(constB135)),
% 8.18/6.15 inference(tautology,[status(thm)],[])).
% 8.18/6.15 tff(19240,plain,
% 8.18/6.15 ((~(v104(constB136) <=> v1(constB135))) | (~v104(constB136))),
% 8.18/6.15 inference(unit_resolution,[status(thm)],[19239, 16935])).
% 8.18/6.15 tff(19241,plain,
% 8.18/6.15 (~v104(constB136)),
% 8.18/6.15 inference(unit_resolution,[status(thm)],[19240, 19238])).
% 8.18/6.15 tff(19242,plain,
% 8.18/6.15 ((~((~v102(constB136)) <=> v104(constB136))) | v102(constB136) | v104(constB136)),
% 8.18/6.15 inference(tautology,[status(thm)],[])).
% 8.18/6.15 tff(19243,plain,
% 8.18/6.15 (v102(constB136)),
% 8.18/6.15 inference(unit_resolution,[status(thm)],[19242, 19241, 19234])).
% 8.18/6.15 tff(19244,plain,
% 8.18/6.15 (v1(constB136) <=> v1(constB136)),
% 8.18/6.15 inference(rewrite,[status(thm)],[])).
% 8.18/6.15 tff(19245,axiom,(v1(constB136)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_136')).
% 8.18/6.15 tff(19246,plain,
% 8.18/6.15 (v1(constB136)),
% 8.18/6.15 inference(modus_ponens,[status(thm)],[19245, 19244])).
% 8.18/6.15 tff(19247,plain,
% 8.18/6.15 ((~((~v1(constB136)) | (~v102(constB136)))) | (~v1(constB136)) | (~v102(constB136))),
% 8.18/6.15 inference(tautology,[status(thm)],[])).
% 8.18/6.15 tff(19248,plain,
% 8.18/6.15 ((~((~v1(constB136)) | (~v102(constB136)))) | (~v102(constB136))),
% 8.18/6.15 inference(unit_resolution,[status(thm)],[19247, 19246])).
% 8.18/6.15 tff(19249,plain,
% 8.18/6.15 (~((~v1(constB136)) | (~v102(constB136)))),
% 8.18/6.15 inference(unit_resolution,[status(thm)],[19248, 19243])).
% 8.18/6.15 tff(19250,plain,
% 8.18/6.15 ((~(v101(constB136) <=> (~((~v1(constB136)) | (~v102(constB136)))))) | v101(constB136) | ((~v1(constB136)) | (~v102(constB136)))),
% 8.18/6.15 inference(tautology,[status(thm)],[])).
% 8.18/6.15 tff(19251,plain,
% 8.18/6.15 (v101(constB136)),
% 8.18/6.15 inference(unit_resolution,[status(thm)],[19250, 19249, 19230])).
% 8.18/6.15 tff(19252,plain,
% 8.18/6.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB135, constB136)) | (v110(constB136) <=> v108(constB135)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB135, constB136)) | (v110(constB136) <=> v108(constB135)))),
% 8.18/6.15 inference(rewrite,[status(thm)],[])).
% 8.18/6.15 tff(19253,plain,
% 8.18/6.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB135, constB136)) | (v110(constB136) <=> v108(constB135)))),
% 8.18/6.15 inference(quant_inst,[status(thm)],[])).
% 8.18/6.15 tff(19254,plain,
% 8.18/6.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB135, constB136)) | (v110(constB136) <=> v108(constB135))),
% 8.18/6.15 inference(modus_ponens,[status(thm)],[19253, 19252])).
% 8.18/6.15 tff(19255,plain,
% 8.18/6.15 (v110(constB136) <=> v108(constB135)),
% 8.18/6.15 inference(unit_resolution,[status(thm)],[19254, 16896, 3285])).
% 8.18/6.15 tff(19256,plain,
% 8.18/6.15 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB135) <=> (v111(constB135) | v112(constB135)))),
% 8.18/6.15 inference(quant_inst,[status(thm)],[])).
% 8.18/6.15 tff(19257,plain,
% 8.18/6.15 (v108(constB135) <=> (v111(constB135) | v112(constB135))),
% 8.18/6.15 inference(unit_resolution,[status(thm)],[19256, 3296])).
% 8.18/6.15 tff(19258,plain,
% 8.18/6.15 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB135) <=> (~((~v113(constB135)) | (~v126(constB135)))))),
% 8.18/6.15 inference(quant_inst,[status(thm)],[])).
% 8.18/6.15 tff(19259,plain,
% 8.18/6.15 (v112(constB135) <=> (~((~v113(constB135)) | (~v126(constB135))))),
% 8.18/6.15 inference(unit_resolution,[status(thm)],[19258, 3308])).
% 8.18/6.15 tff(19260,plain,
% 8.18/6.15 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB135) <=> (v114(constB135) | v125(constB135)))),
% 8.18/6.15 inference(quant_inst,[status(thm)],[])).
% 8.18/6.15 tff(19261,plain,
% 8.18/6.15 (v113(constB135) <=> (v114(constB135) | v125(constB135))),
% 8.18/6.15 inference(unit_resolution,[status(thm)],[19260, 3317])).
% 8.18/6.15 tff(19262,plain,
% 8.18/6.15 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB135) <=> (~(v90(constB135, bitIndex0) | (~v90(constB135, bitIndex1)) | (~v90(constB135, bitIndex2)))))),
% 8.18/6.15 inference(quant_inst,[status(thm)],[])).
% 8.18/6.15 tff(19263,plain,
% 8.18/6.15 (v125(constB135) <=> (~(v90(constB135, bitIndex0) | (~v90(constB135, bitIndex1)) | (~v90(constB135, bitIndex2))))),
% 8.18/6.15 inference(unit_resolution,[status(thm)],[19262, 3766])).
% 8.18/6.15 tff(19264,plain,
% 8.18/6.15 ((~(v90(constB135, bitIndex0) | (~v90(constB135, bitIndex1)) | (~v90(constB135, bitIndex2)))) | v90(constB135, bitIndex0) | (~v90(constB135, bitIndex1)) | (~v90(constB135, bitIndex2))),
% 8.18/6.15 inference(tautology,[status(thm)],[])).
% 8.18/6.15 tff(19265,plain,
% 8.18/6.15 (~(v90(constB135, bitIndex0) | (~v90(constB135, bitIndex1)) | (~v90(constB135, bitIndex2)))),
% 8.18/6.15 inference(unit_resolution,[status(thm)],[19264, 19152, 19112, 19192])).
% 8.18/6.15 tff(19266,plain,
% 8.18/6.15 ((~(v125(constB135) <=> (~(v90(constB135, bitIndex0) | (~v90(constB135, bitIndex1)) | (~v90(constB135, bitIndex2)))))) | v125(constB135) | (v90(constB135, bitIndex0) | (~v90(constB135, bitIndex1)) | (~v90(constB135, bitIndex2)))),
% 8.18/6.15 inference(tautology,[status(thm)],[])).
% 8.18/6.15 tff(19267,plain,
% 8.18/6.15 (v125(constB135)),
% 8.18/6.15 inference(unit_resolution,[status(thm)],[19266, 19265, 19263])).
% 8.18/6.15 tff(19268,plain,
% 8.18/6.15 ((v114(constB135) | v125(constB135)) | (~v125(constB135))),
% 8.18/6.15 inference(tautology,[status(thm)],[])).
% 8.18/6.15 tff(19269,plain,
% 8.18/6.15 (v114(constB135) | v125(constB135)),
% 8.18/6.15 inference(unit_resolution,[status(thm)],[19268, 19267])).
% 8.18/6.15 tff(19270,plain,
% 8.18/6.15 ((~(v113(constB135) <=> (v114(constB135) | v125(constB135)))) | v113(constB135) | (~(v114(constB135) | v125(constB135)))),
% 8.18/6.15 inference(tautology,[status(thm)],[])).
% 8.18/6.15 tff(19271,plain,
% 8.18/6.15 (v113(constB135)),
% 8.18/6.15 inference(unit_resolution,[status(thm)],[19270, 19269, 19261])).
% 8.18/6.15 tff(19272,plain,
% 8.18/6.15 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB135)) <=> v111(constB135))),
% 8.18/6.15 inference(quant_inst,[status(thm)],[])).
% 8.18/6.15 tff(19273,plain,
% 8.18/6.15 ((~v126(constB135)) <=> v111(constB135)),
% 8.18/6.15 inference(unit_resolution,[status(thm)],[19272, 3396])).
% 8.18/6.15 tff(19274,plain,
% 8.18/6.15 ((~((~v126(constB135)) <=> v111(constB135))) | v126(constB135) | v111(constB135)),
% 8.18/6.15 inference(tautology,[status(thm)],[])).
% 8.18/6.15 tff(19275,plain,
% 8.18/6.15 ((~((~v126(constB135)) <=> v111(constB135))) | v126(constB135)),
% 8.18/6.15 inference(unit_resolution,[status(thm)],[19274, 16909])).
% 8.18/6.15 tff(19276,plain,
% 8.18/6.15 (v126(constB135)),
% 8.18/6.15 inference(unit_resolution,[status(thm)],[19275, 19273])).
% 8.18/6.15 tff(19277,plain,
% 8.18/6.15 ((~((~v113(constB135)) | (~v126(constB135)))) | (~v113(constB135)) | (~v126(constB135))),
% 8.18/6.15 inference(tautology,[status(thm)],[])).
% 8.18/6.15 tff(19278,plain,
% 8.18/6.15 ((~((~v113(constB135)) | (~v126(constB135)))) | (~v113(constB135))),
% 8.18/6.15 inference(unit_resolution,[status(thm)],[19277, 19276])).
% 8.18/6.15 tff(19279,plain,
% 8.18/6.15 (~((~v113(constB135)) | (~v126(constB135)))),
% 8.18/6.15 inference(unit_resolution,[status(thm)],[19278, 19271])).
% 8.18/6.15 tff(19280,plain,
% 8.18/6.15 ((~(v112(constB135) <=> (~((~v113(constB135)) | (~v126(constB135)))))) | v112(constB135) | ((~v113(constB135)) | (~v126(constB135)))),
% 8.18/6.15 inference(tautology,[status(thm)],[])).
% 8.18/6.15 tff(19281,plain,
% 8.18/6.15 (v112(constB135)),
% 8.18/6.15 inference(unit_resolution,[status(thm)],[19280, 19279, 19259])).
% 8.18/6.15 tff(19282,plain,
% 8.18/6.15 ((v111(constB135) | v112(constB135)) | (~v112(constB135))),
% 8.18/6.15 inference(tautology,[status(thm)],[])).
% 8.18/6.15 tff(19283,plain,
% 8.18/6.15 (v111(constB135) | v112(constB135)),
% 8.18/6.15 inference(unit_resolution,[status(thm)],[19282, 19281])).
% 8.18/6.15 tff(19284,plain,
% 8.18/6.15 ((~(v108(constB135) <=> (v111(constB135) | v112(constB135)))) | v108(constB135) | (~(v111(constB135) | v112(constB135)))),
% 8.18/6.15 inference(tautology,[status(thm)],[])).
% 8.18/6.15 tff(19285,plain,
% 8.18/6.15 (v108(constB135)),
% 8.18/6.15 inference(unit_resolution,[status(thm)],[19284, 19283, 19257])).
% 8.18/6.15 tff(19286,plain,
% 8.18/6.15 ((~(v110(constB136) <=> v108(constB135))) | v110(constB136) | (~v108(constB135))),
% 8.18/6.15 inference(tautology,[status(thm)],[])).
% 8.18/6.15 tff(19287,plain,
% 8.18/6.15 (v110(constB136)),
% 8.18/6.15 inference(unit_resolution,[status(thm)],[19286, 19285, 19255])).
% 8.18/6.15 tff(19288,plain,
% 8.18/6.15 ((~((~v101(constB136)) | (~v110(constB136)))) | (~v101(constB136)) | (~v110(constB136))),
% 8.18/6.15 inference(tautology,[status(thm)],[])).
% 8.18/6.15 tff(19289,plain,
% 8.18/6.15 (~((~v101(constB136)) | (~v110(constB136)))),
% 8.18/6.15 inference(unit_resolution,[status(thm)],[19288, 19287, 19251])).
% 8.18/6.15 tff(19290,plain,
% 8.18/6.15 ((~(v100(constB136) <=> (~((~v101(constB136)) | (~v110(constB136)))))) | v100(constB136) | ((~v101(constB136)) | (~v110(constB136)))),
% 8.18/6.15 inference(tautology,[status(thm)],[])).
% 8.18/6.16 tff(19291,plain,
% 8.18/6.16 (v100(constB136)),
% 8.18/6.16 inference(unit_resolution,[status(thm)],[19290, 19289, 19223])).
% 8.18/6.16 tff(19292,plain,
% 8.18/6.16 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB136)) | (~(((~v90(constB136, bitIndex2)) <=> v129(constB136, bitIndex2)) | ((~v90(constB136, bitIndex1)) <=> v129(constB136, bitIndex1)) | ((~v90(constB136, bitIndex0)) <=> v129(constB136, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB136)) | (~(((~v90(constB136, bitIndex2)) <=> v129(constB136, bitIndex2)) | ((~v90(constB136, bitIndex1)) <=> v129(constB136, bitIndex1)) | ((~v90(constB136, bitIndex0)) <=> v129(constB136, bitIndex0)))))),
% 8.18/6.16 inference(rewrite,[status(thm)],[])).
% 8.18/6.16 tff(19293,plain,
% 8.18/6.16 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB136)) | (~(((~v90(constB136, bitIndex2)) <=> v129(constB136, bitIndex2)) | ((~v90(constB136, bitIndex1)) <=> v129(constB136, bitIndex1)) | ((~v90(constB136, bitIndex0)) <=> v129(constB136, bitIndex0)))))),
% 8.18/6.16 inference(quant_inst,[status(thm)],[])).
% 8.18/6.16 tff(19294,plain,
% 8.18/6.16 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB136)) | (~(((~v90(constB136, bitIndex2)) <=> v129(constB136, bitIndex2)) | ((~v90(constB136, bitIndex1)) <=> v129(constB136, bitIndex1)) | ((~v90(constB136, bitIndex0)) <=> v129(constB136, bitIndex0))))),
% 8.18/6.16 inference(modus_ponens,[status(thm)],[19293, 19292])).
% 8.18/6.16 tff(19295,plain,
% 8.18/6.16 ((~v100(constB136)) | (~(((~v90(constB136, bitIndex2)) <=> v129(constB136, bitIndex2)) | ((~v90(constB136, bitIndex1)) <=> v129(constB136, bitIndex1)) | ((~v90(constB136, bitIndex0)) <=> v129(constB136, bitIndex0))))),
% 8.18/6.16 inference(unit_resolution,[status(thm)],[19294, 3429])).
% 8.18/6.16 tff(19296,plain,
% 8.18/6.16 (~(((~v90(constB136, bitIndex2)) <=> v129(constB136, bitIndex2)) | ((~v90(constB136, bitIndex1)) <=> v129(constB136, bitIndex1)) | ((~v90(constB136, bitIndex0)) <=> v129(constB136, bitIndex0)))),
% 8.18/6.16 inference(unit_resolution,[status(thm)],[19295, 19291])).
% 8.18/6.16 tff(19297,plain,
% 8.18/6.16 ((((~v90(constB136, bitIndex2)) <=> v129(constB136, bitIndex2)) | ((~v90(constB136, bitIndex1)) <=> v129(constB136, bitIndex1)) | ((~v90(constB136, bitIndex0)) <=> v129(constB136, bitIndex0))) | (~((~v90(constB136, bitIndex2)) <=> v129(constB136, bitIndex2)))),
% 8.18/6.16 inference(tautology,[status(thm)],[])).
% 8.18/6.16 tff(19298,plain,
% 8.18/6.16 (~((~v90(constB136, bitIndex2)) <=> v129(constB136, bitIndex2))),
% 8.18/6.16 inference(unit_resolution,[status(thm)],[19297, 19296])).
% 8.18/6.16 tff(19299,plain,
% 8.18/6.16 (((~v90(constB136, bitIndex2)) <=> v129(constB136, bitIndex2)) | (~v90(constB136, bitIndex2)) | v129(constB136, bitIndex2)),
% 8.18/6.16 inference(tautology,[status(thm)],[])).
% 8.18/6.16 tff(19300,plain,
% 8.18/6.16 (~v90(constB136, bitIndex2)),
% 8.18/6.16 inference(unit_resolution,[status(thm)],[19299, 19298, 19219])).
% 8.18/6.16 tff(19301,plain,
% 8.18/6.16 (((~v90(constB137, bitIndex2)) <=> v90(constB136, bitIndex2)) | (~v90(constB137, bitIndex2)) | v90(constB136, bitIndex2)),
% 8.18/6.16 inference(tautology,[status(thm)],[])).
% 8.18/6.16 tff(19302,plain,
% 8.18/6.16 (~v90(constB137, bitIndex2)),
% 8.18/6.16 inference(unit_resolution,[status(thm)],[19301, 19300, 16893])).
% 8.18/6.16 tff(19303,plain,
% 8.18/6.16 ((((~v90(constB137, bitIndex1)) <=> v90(constB136, bitIndex1)) | ((~v90(constB137, bitIndex2)) <=> v90(constB136, bitIndex2)) | ((~v90(constB137, bitIndex0)) <=> v90(constB136, bitIndex0))) | (~((~v90(constB137, bitIndex0)) <=> v90(constB136, bitIndex0)))),
% 8.18/6.16 inference(tautology,[status(thm)],[])).
% 8.18/6.16 tff(19304,plain,
% 8.18/6.16 (~((~v90(constB137, bitIndex0)) <=> v90(constB136, bitIndex0))),
% 8.18/6.16 inference(unit_resolution,[status(thm)],[19303, 16891])).
% 8.18/6.16 tff(19305,plain,
% 8.18/6.16 ((((~v129(constB136, bitIndex2)) <=> v127(constB135, bitIndex2)) | ((~v129(constB136, bitIndex1)) <=> v127(constB135, bitIndex1)) | ((~v129(constB136, bitIndex0)) <=> v127(constB135, bitIndex0))) | (~((~v129(constB136, bitIndex0)) <=> v127(constB135, bitIndex0)))),
% 8.18/6.16 inference(tautology,[status(thm)],[])).
% 8.18/6.16 tff(19306,plain,
% 8.18/6.16 (~((~v129(constB136, bitIndex0)) <=> v127(constB135, bitIndex0))),
% 8.18/6.16 inference(unit_resolution,[status(thm)],[19305, 16900])).
% 8.18/6.16 tff(19307,plain,
% 8.18/6.16 ((((~v127(constB135, bitIndex2)) <=> v130(constB135, bitIndex2)) | ((~v127(constB135, bitIndex1)) <=> v130(constB135, bitIndex1)) | ((~v127(constB135, bitIndex0)) <=> v130(constB135, bitIndex0))) | (~((~v127(constB135, bitIndex0)) <=> v130(constB135, bitIndex0)))),
% 8.18/6.16 inference(tautology,[status(thm)],[])).
% 8.18/6.16 tff(19308,plain,
% 8.18/6.16 (~((~v127(constB135, bitIndex0)) <=> v130(constB135, bitIndex0))),
% 8.18/6.16 inference(unit_resolution,[status(thm)],[19307, 16914])).
% 8.18/6.16 tff(19309,plain,
% 8.18/6.16 ((v130(constB135, bitIndex2) | v130(constB135, bitIndex1) | (~v130(constB135, bitIndex0))) | v130(constB135, bitIndex0)),
% 8.18/6.16 inference(tautology,[status(thm)],[])).
% 8.18/6.16 tff(19310,plain,
% 8.18/6.16 (v130(constB135, bitIndex0)),
% 8.18/6.16 inference(unit_resolution,[status(thm)],[19309, 19213])).
% 8.18/6.16 tff(19311,plain,
% 8.18/6.16 (((~v127(constB135, bitIndex0)) <=> v130(constB135, bitIndex0)) | v127(constB135, bitIndex0) | (~v130(constB135, bitIndex0))),
% 8.18/6.16 inference(tautology,[status(thm)],[])).
% 8.18/6.16 tff(19312,plain,
% 8.18/6.16 (v127(constB135, bitIndex0)),
% 8.18/6.16 inference(unit_resolution,[status(thm)],[19311, 19310, 19308])).
% 8.18/6.16 tff(19313,plain,
% 8.18/6.16 (((~v129(constB136, bitIndex0)) <=> v127(constB135, bitIndex0)) | v129(constB136, bitIndex0) | (~v127(constB135, bitIndex0))),
% 8.18/6.16 inference(tautology,[status(thm)],[])).
% 8.18/6.16 tff(19314,plain,
% 8.18/6.16 (v129(constB136, bitIndex0)),
% 8.18/6.16 inference(unit_resolution,[status(thm)],[19313, 19312, 19306])).
% 8.18/6.16 tff(19315,plain,
% 8.18/6.16 ((((~v90(constB136, bitIndex2)) <=> v129(constB136, bitIndex2)) | ((~v90(constB136, bitIndex1)) <=> v129(constB136, bitIndex1)) | ((~v90(constB136, bitIndex0)) <=> v129(constB136, bitIndex0))) | (~((~v90(constB136, bitIndex0)) <=> v129(constB136, bitIndex0)))),
% 8.18/6.16 inference(tautology,[status(thm)],[])).
% 8.18/6.16 tff(19316,plain,
% 8.18/6.16 (~((~v90(constB136, bitIndex0)) <=> v129(constB136, bitIndex0))),
% 8.18/6.16 inference(unit_resolution,[status(thm)],[19315, 19296])).
% 8.18/6.16 tff(19317,plain,
% 8.18/6.16 (((~v90(constB136, bitIndex0)) <=> v129(constB136, bitIndex0)) | v90(constB136, bitIndex0) | (~v129(constB136, bitIndex0))),
% 8.18/6.16 inference(tautology,[status(thm)],[])).
% 8.18/6.16 tff(19318,plain,
% 8.18/6.16 (v90(constB136, bitIndex0)),
% 8.18/6.16 inference(unit_resolution,[status(thm)],[19317, 19316, 19314])).
% 8.18/6.16 tff(19319,plain,
% 8.18/6.16 (((~v90(constB137, bitIndex0)) <=> v90(constB136, bitIndex0)) | v90(constB137, bitIndex0) | (~v90(constB136, bitIndex0))),
% 8.18/6.16 inference(tautology,[status(thm)],[])).
% 8.18/6.16 tff(19320,plain,
% 8.18/6.16 (v90(constB137, bitIndex0)),
% 8.18/6.16 inference(unit_resolution,[status(thm)],[19319, 19318, 19304])).
% 8.18/6.16 tff(19321,plain,
% 8.18/6.16 ((((~v90(constB137, bitIndex1)) <=> v90(constB136, bitIndex1)) | ((~v90(constB137, bitIndex2)) <=> v90(constB136, bitIndex2)) | ((~v90(constB137, bitIndex0)) <=> v90(constB136, bitIndex0))) | (~((~v90(constB137, bitIndex1)) <=> v90(constB136, bitIndex1)))),
% 8.18/6.16 inference(tautology,[status(thm)],[])).
% 8.18/6.16 tff(19322,plain,
% 8.18/6.16 (~((~v90(constB137, bitIndex1)) <=> v90(constB136, bitIndex1))),
% 8.18/6.16 inference(unit_resolution,[status(thm)],[19321, 16891])).
% 8.18/6.16 tff(19323,plain,
% 8.18/6.16 ((((~v129(constB136, bitIndex2)) <=> v127(constB135, bitIndex2)) | ((~v129(constB136, bitIndex1)) <=> v127(constB135, bitIndex1)) | ((~v129(constB136, bitIndex0)) <=> v127(constB135, bitIndex0))) | (~((~v129(constB136, bitIndex1)) <=> v127(constB135, bitIndex1)))),
% 8.18/6.16 inference(tautology,[status(thm)],[])).
% 8.18/6.16 tff(19324,plain,
% 8.18/6.16 (~((~v129(constB136, bitIndex1)) <=> v127(constB135, bitIndex1))),
% 8.18/6.16 inference(unit_resolution,[status(thm)],[19323, 16900])).
% 8.18/6.16 tff(19325,plain,
% 8.18/6.16 ((((~v127(constB135, bitIndex2)) <=> v130(constB135, bitIndex2)) | ((~v127(constB135, bitIndex1)) <=> v130(constB135, bitIndex1)) | ((~v127(constB135, bitIndex0)) <=> v130(constB135, bitIndex0))) | (~((~v127(constB135, bitIndex1)) <=> v130(constB135, bitIndex1)))),
% 8.18/6.16 inference(tautology,[status(thm)],[])).
% 8.18/6.16 tff(19326,plain,
% 8.18/6.16 (~((~v127(constB135, bitIndex1)) <=> v130(constB135, bitIndex1))),
% 8.18/6.16 inference(unit_resolution,[status(thm)],[19325, 16914])).
% 8.18/6.16 tff(19327,plain,
% 8.18/6.16 ((v130(constB135, bitIndex2) | v130(constB135, bitIndex1) | (~v130(constB135, bitIndex0))) | (~v130(constB135, bitIndex1))),
% 8.18/6.16 inference(tautology,[status(thm)],[])).
% 8.18/6.16 tff(19328,plain,
% 8.18/6.16 (~v130(constB135, bitIndex1)),
% 8.18/6.16 inference(unit_resolution,[status(thm)],[19327, 19213])).
% 8.18/6.16 tff(19329,plain,
% 8.18/6.16 (((~v127(constB135, bitIndex1)) <=> v130(constB135, bitIndex1)) | (~v127(constB135, bitIndex1)) | v130(constB135, bitIndex1)),
% 8.18/6.16 inference(tautology,[status(thm)],[])).
% 8.18/6.16 tff(19330,plain,
% 8.18/6.16 (~v127(constB135, bitIndex1)),
% 8.18/6.16 inference(unit_resolution,[status(thm)],[19329, 19328, 19326])).
% 8.18/6.16 tff(19331,plain,
% 8.18/6.16 (((~v129(constB136, bitIndex1)) <=> v127(constB135, bitIndex1)) | (~v129(constB136, bitIndex1)) | v127(constB135, bitIndex1)),
% 8.18/6.16 inference(tautology,[status(thm)],[])).
% 8.18/6.16 tff(19332,plain,
% 8.18/6.16 (~v129(constB136, bitIndex1)),
% 8.18/6.16 inference(unit_resolution,[status(thm)],[19331, 19330, 19324])).
% 8.18/6.16 tff(19333,plain,
% 8.18/6.16 ((((~v90(constB136, bitIndex2)) <=> v129(constB136, bitIndex2)) | ((~v90(constB136, bitIndex1)) <=> v129(constB136, bitIndex1)) | ((~v90(constB136, bitIndex0)) <=> v129(constB136, bitIndex0))) | (~((~v90(constB136, bitIndex1)) <=> v129(constB136, bitIndex1)))),
% 8.18/6.16 inference(tautology,[status(thm)],[])).
% 8.18/6.16 tff(19334,plain,
% 8.18/6.16 (~((~v90(constB136, bitIndex1)) <=> v129(constB136, bitIndex1))),
% 8.18/6.16 inference(unit_resolution,[status(thm)],[19333, 19296])).
% 8.18/6.16 tff(19335,plain,
% 8.18/6.16 (((~v90(constB136, bitIndex1)) <=> v129(constB136, bitIndex1)) | (~v90(constB136, bitIndex1)) | v129(constB136, bitIndex1)),
% 8.18/6.16 inference(tautology,[status(thm)],[])).
% 8.18/6.16 tff(19336,plain,
% 8.18/6.16 (~v90(constB136, bitIndex1)),
% 8.18/6.16 inference(unit_resolution,[status(thm)],[19335, 19334, 19332])).
% 8.18/6.16 tff(19337,plain,
% 8.18/6.16 (((~v90(constB137, bitIndex1)) <=> v90(constB136, bitIndex1)) | (~v90(constB137, bitIndex1)) | v90(constB136, bitIndex1)),
% 8.18/6.16 inference(tautology,[status(thm)],[])).
% 8.18/6.16 tff(19338,plain,
% 8.18/6.16 (~v90(constB137, bitIndex1)),
% 8.18/6.16 inference(unit_resolution,[status(thm)],[19337, 19336, 19322])).
% 8.18/6.16 tff(19339,plain,
% 8.18/6.16 ((~(v90(constB137, bitIndex1) | v90(constB137, bitIndex2) | (~v90(constB137, bitIndex0)))) | v90(constB137, bitIndex1) | v90(constB137, bitIndex2) | (~v90(constB137, bitIndex0))),
% 8.18/6.16 inference(tautology,[status(thm)],[])).
% 8.18/6.16 tff(19340,plain,
% 8.18/6.16 (~(v90(constB137, bitIndex1) | v90(constB137, bitIndex2) | (~v90(constB137, bitIndex0)))),
% 8.18/6.16 inference(unit_resolution,[status(thm)],[19339, 19338, 19320, 19302])).
% 8.18/6.16 tff(19341,plain,
% 8.18/6.16 ((~(v120(constB137) <=> (~(v90(constB137, bitIndex1) | v90(constB137, bitIndex2) | (~v90(constB137, bitIndex0)))))) | v120(constB137) | (v90(constB137, bitIndex1) | v90(constB137, bitIndex2) | (~v90(constB137, bitIndex0)))),
% 8.18/6.16 inference(tautology,[status(thm)],[])).
% 8.18/6.16 tff(19342,plain,
% 8.18/6.16 (v120(constB137)),
% 8.18/6.16 inference(unit_resolution,[status(thm)],[19341, 19340, 16857])).
% 8.18/6.16 tff(19343,plain,
% 8.18/6.16 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB137)) | (~(v130(constB137, bitIndex2) | v130(constB137, bitIndex0) | (~v130(constB137, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB137)) | (~(v130(constB137, bitIndex2) | v130(constB137, bitIndex0) | (~v130(constB137, bitIndex1)))))),
% 8.18/6.16 inference(rewrite,[status(thm)],[])).
% 8.18/6.16 tff(19344,plain,
% 8.18/6.16 (((~v120(constB137)) | (~(v130(constB137, bitIndex0) | v130(constB137, bitIndex2) | (~v130(constB137, bitIndex1))))) <=> ((~v120(constB137)) | (~(v130(constB137, bitIndex2) | v130(constB137, bitIndex0) | (~v130(constB137, bitIndex1)))))),
% 8.18/6.16 inference(rewrite,[status(thm)],[])).
% 8.18/6.16 tff(19345,plain,
% 8.18/6.16 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB137)) | (~(v130(constB137, bitIndex0) | v130(constB137, bitIndex2) | (~v130(constB137, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB137)) | (~(v130(constB137, bitIndex2) | v130(constB137, bitIndex0) | (~v130(constB137, bitIndex1))))))),
% 8.18/6.16 inference(monotonicity,[status(thm)],[19344])).
% 8.18/6.16 tff(19346,plain,
% 8.18/6.16 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB137)) | (~(v130(constB137, bitIndex0) | v130(constB137, bitIndex2) | (~v130(constB137, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB137)) | (~(v130(constB137, bitIndex2) | v130(constB137, bitIndex0) | (~v130(constB137, bitIndex1)))))),
% 8.18/6.16 inference(transitivity,[status(thm)],[19345, 19343])).
% 8.18/6.16 tff(19347,plain,
% 8.18/6.16 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB137)) | (~(v130(constB137, bitIndex0) | v130(constB137, bitIndex2) | (~v130(constB137, bitIndex1)))))),
% 8.18/6.16 inference(quant_inst,[status(thm)],[])).
% 8.18/6.16 tff(19348,plain,
% 8.18/6.16 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB137)) | (~(v130(constB137, bitIndex2) | v130(constB137, bitIndex0) | (~v130(constB137, bitIndex1))))),
% 8.18/6.16 inference(modus_ponens,[status(thm)],[19347, 19346])).
% 8.18/6.16 tff(19349,plain,
% 8.18/6.16 ((~v120(constB137)) | (~(v130(constB137, bitIndex2) | v130(constB137, bitIndex0) | (~v130(constB137, bitIndex1))))),
% 8.18/6.16 inference(unit_resolution,[status(thm)],[19348, 3881])).
% 8.18/6.16 tff(19350,plain,
% 8.18/6.16 (~(v130(constB137, bitIndex2) | v130(constB137, bitIndex0) | (~v130(constB137, bitIndex1)))),
% 8.18/6.16 inference(unit_resolution,[status(thm)],[19349, 19342])).
% 8.18/6.16 tff(19351,plain,
% 8.18/6.16 ((v130(constB137, bitIndex2) | v130(constB137, bitIndex0) | (~v130(constB137, bitIndex1))) | (~v130(constB137, bitIndex2))),
% 8.18/6.16 inference(tautology,[status(thm)],[])).
% 8.18/6.16 tff(19352,plain,
% 8.18/6.16 (~v130(constB137, bitIndex2)),
% 8.18/6.16 inference(unit_resolution,[status(thm)],[19351, 19350])).
% 8.18/6.16 tff(19353,plain,
% 8.18/6.16 (((~v127(constB137, bitIndex2)) <=> v130(constB137, bitIndex2)) | (~v127(constB137, bitIndex2)) | v130(constB137, bitIndex2)),
% 8.18/6.16 inference(tautology,[status(thm)],[])).
% 8.18/6.16 tff(19354,plain,
% 8.18/6.16 (~v127(constB137, bitIndex2)),
% 8.18/6.16 inference(unit_resolution,[status(thm)],[19353, 19352, 16855])).
% 8.18/6.16 tff(19355,plain,
% 8.18/6.16 (((~v129(constB138, bitIndex2)) <=> v127(constB137, bitIndex2)) | (~v129(constB138, bitIndex2)) | v127(constB137, bitIndex2)),
% 8.18/6.16 inference(tautology,[status(thm)],[])).
% 8.18/6.16 tff(19356,plain,
% 8.18/6.16 (~v129(constB138, bitIndex2)),
% 8.18/6.16 inference(unit_resolution,[status(thm)],[19355, 19354, 16841])).
% 8.18/6.16 tff(19357,plain,
% 8.18/6.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB137, constB138)) | (v100(constB138) <=> (~((~v101(constB138)) | (~v110(constB138))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB137, constB138)) | (v100(constB138) <=> (~((~v101(constB138)) | (~v110(constB138))))))),
% 8.18/6.16 inference(rewrite,[status(thm)],[])).
% 8.18/6.16 tff(19358,plain,
% 8.18/6.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB137, constB138)) | (v100(constB138) <=> (~((~v101(constB138)) | (~v110(constB138))))))),
% 8.18/6.16 inference(quant_inst,[status(thm)],[])).
% 8.18/6.16 tff(19359,plain,
% 8.18/6.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB137, constB138)) | (v100(constB138) <=> (~((~v101(constB138)) | (~v110(constB138)))))),
% 8.18/6.16 inference(modus_ponens,[status(thm)],[19358, 19357])).
% 8.18/6.16 tff(19360,plain,
% 8.18/6.16 (v100(constB138) <=> (~((~v101(constB138)) | (~v110(constB138))))),
% 8.18/6.16 inference(unit_resolution,[status(thm)],[19359, 16835, 445])).
% 8.18/6.16 tff(19361,plain,
% 8.18/6.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB137, constB138)) | (v101(constB138) <=> (~((~v1(constB138)) | (~v102(constB138))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB137, constB138)) | (v101(constB138) <=> (~((~v1(constB138)) | (~v102(constB138))))))),
% 8.18/6.16 inference(rewrite,[status(thm)],[])).
% 8.18/6.16 tff(19362,plain,
% 8.18/6.16 (((~nextState(constB137, constB138)) | (v101(constB138) <=> (~((~v102(constB138)) | (~v1(constB138)))))) <=> ((~nextState(constB137, constB138)) | (v101(constB138) <=> (~((~v1(constB138)) | (~v102(constB138))))))),
% 8.18/6.16 inference(rewrite,[status(thm)],[])).
% 8.18/6.16 tff(19363,plain,
% 8.18/6.16 (((~![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) <=> (~((~v1(constB138)) | (~v102(constB138)))))))),
% 8.18/6.16 inference(monotonicity,[status(thm)],[19362])).
% 8.18/6.16 tff(19364,plain,
% 8.18/6.16 (((~![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) <=> (~((~v1(constB138)) | (~v102(constB138))))))),
% 8.18/6.16 inference(transitivity,[status(thm)],[19363, 19361])).
% 8.18/6.16 tff(19365,plain,
% 8.18/6.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB137, constB138)) | (v101(constB138) <=> (~((~v102(constB138)) | (~v1(constB138))))))),
% 8.18/6.16 inference(quant_inst,[status(thm)],[])).
% 8.18/6.16 tff(19366,plain,
% 8.18/6.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB137, constB138)) | (v101(constB138) <=> (~((~v1(constB138)) | (~v102(constB138)))))),
% 8.18/6.16 inference(modus_ponens,[status(thm)],[19365, 19364])).
% 8.18/6.16 tff(19367,plain,
% 8.18/6.16 (v101(constB138) <=> (~((~v1(constB138)) | (~v102(constB138))))),
% 8.18/6.16 inference(unit_resolution,[status(thm)],[19366, 16835, 465])).
% 8.18/6.16 tff(19368,plain,
% 8.18/6.16 (((~![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)))),
% 8.18/6.16 inference(rewrite,[status(thm)],[])).
% 8.18/6.16 tff(19369,plain,
% 8.18/6.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB137, constB138)) | ((~v102(constB138)) <=> v104(constB138)))),
% 8.18/6.16 inference(quant_inst,[status(thm)],[])).
% 8.18/6.16 tff(19370,plain,
% 8.18/6.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB137, constB138)) | ((~v102(constB138)) <=> v104(constB138))),
% 8.18/6.16 inference(modus_ponens,[status(thm)],[19369, 19368])).
% 8.18/6.16 tff(19371,plain,
% 8.18/6.16 ((~v102(constB138)) <=> v104(constB138)),
% 8.18/6.16 inference(unit_resolution,[status(thm)],[19370, 16835, 3244])).
% 8.18/6.16 tff(19372,plain,
% 8.18/6.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB137, constB138)) | (v104(constB138) <=> v1(constB137)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB137, constB138)) | (v104(constB138) <=> v1(constB137)))),
% 8.18/6.16 inference(rewrite,[status(thm)],[])).
% 8.18/6.16 tff(19373,plain,
% 8.18/6.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB137, constB138)) | (v104(constB138) <=> v1(constB137)))),
% 8.18/6.16 inference(quant_inst,[status(thm)],[])).
% 8.18/6.16 tff(19374,plain,
% 8.18/6.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB137, constB138)) | (v104(constB138) <=> v1(constB137))),
% 8.18/6.16 inference(modus_ponens,[status(thm)],[19373, 19372])).
% 8.18/6.16 tff(19375,plain,
% 8.18/6.16 (v104(constB138) <=> v1(constB137)),
% 8.18/6.16 inference(unit_resolution,[status(thm)],[19374, 16835, 3258])).
% 8.18/6.16 tff(19376,plain,
% 8.18/6.16 ((~(v104(constB138) <=> v1(constB137))) | (~v104(constB138)) | v1(constB137)),
% 8.18/6.16 inference(tautology,[status(thm)],[])).
% 8.18/6.16 tff(19377,plain,
% 8.18/6.16 ((~(v104(constB138) <=> v1(constB137))) | (~v104(constB138))),
% 8.18/6.16 inference(unit_resolution,[status(thm)],[19376, 16874])).
% 8.18/6.16 tff(19378,plain,
% 8.18/6.16 (~v104(constB138)),
% 8.18/6.16 inference(unit_resolution,[status(thm)],[19377, 19375])).
% 8.18/6.16 tff(19379,plain,
% 8.18/6.16 ((~((~v102(constB138)) <=> v104(constB138))) | v102(constB138) | v104(constB138)),
% 8.18/6.16 inference(tautology,[status(thm)],[])).
% 8.18/6.16 tff(19380,plain,
% 8.18/6.16 (v102(constB138)),
% 8.18/6.16 inference(unit_resolution,[status(thm)],[19379, 19378, 19371])).
% 8.18/6.16 tff(19381,plain,
% 8.18/6.16 (v1(constB138) <=> v1(constB138)),
% 8.18/6.16 inference(rewrite,[status(thm)],[])).
% 8.18/6.16 tff(19382,axiom,(v1(constB138)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_138')).
% 8.18/6.16 tff(19383,plain,
% 8.18/6.16 (v1(constB138)),
% 8.18/6.16 inference(modus_ponens,[status(thm)],[19382, 19381])).
% 8.18/6.16 tff(19384,plain,
% 8.18/6.16 ((~((~v1(constB138)) | (~v102(constB138)))) | (~v1(constB138)) | (~v102(constB138))),
% 8.18/6.16 inference(tautology,[status(thm)],[])).
% 8.18/6.16 tff(19385,plain,
% 8.18/6.16 ((~((~v1(constB138)) | (~v102(constB138)))) | (~v102(constB138))),
% 8.18/6.16 inference(unit_resolution,[status(thm)],[19384, 19383])).
% 8.18/6.16 tff(19386,plain,
% 8.18/6.16 (~((~v1(constB138)) | (~v102(constB138)))),
% 8.18/6.16 inference(unit_resolution,[status(thm)],[19385, 19380])).
% 8.18/6.16 tff(19387,plain,
% 8.18/6.16 ((~(v101(constB138) <=> (~((~v1(constB138)) | (~v102(constB138)))))) | v101(constB138) | ((~v1(constB138)) | (~v102(constB138)))),
% 8.18/6.16 inference(tautology,[status(thm)],[])).
% 8.18/6.16 tff(19388,plain,
% 8.18/6.16 (v101(constB138)),
% 8.18/6.16 inference(unit_resolution,[status(thm)],[19387, 19386, 19367])).
% 8.18/6.16 tff(19389,plain,
% 8.18/6.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB137, constB138)) | (v110(constB138) <=> v108(constB137)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB137, constB138)) | (v110(constB138) <=> v108(constB137)))),
% 8.18/6.16 inference(rewrite,[status(thm)],[])).
% 8.18/6.16 tff(19390,plain,
% 8.18/6.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB137, constB138)) | (v110(constB138) <=> v108(constB137)))),
% 8.18/6.16 inference(quant_inst,[status(thm)],[])).
% 8.18/6.16 tff(19391,plain,
% 8.18/6.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB137, constB138)) | (v110(constB138) <=> v108(constB137))),
% 8.18/6.16 inference(modus_ponens,[status(thm)],[19390, 19389])).
% 8.18/6.16 tff(19392,plain,
% 8.18/6.16 (v110(constB138) <=> v108(constB137)),
% 8.18/6.16 inference(unit_resolution,[status(thm)],[19391, 16835, 3285])).
% 8.18/6.16 tff(19393,plain,
% 8.18/6.16 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB137) <=> (v111(constB137) | v112(constB137)))),
% 8.18/6.16 inference(quant_inst,[status(thm)],[])).
% 8.18/6.16 tff(19394,plain,
% 8.18/6.16 (v108(constB137) <=> (v111(constB137) | v112(constB137))),
% 8.18/6.16 inference(unit_resolution,[status(thm)],[19393, 3296])).
% 8.18/6.16 tff(19395,plain,
% 8.18/6.16 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB137) <=> (~((~v113(constB137)) | (~v126(constB137)))))),
% 8.18/6.16 inference(quant_inst,[status(thm)],[])).
% 8.18/6.16 tff(19396,plain,
% 8.18/6.16 (v112(constB137) <=> (~((~v113(constB137)) | (~v126(constB137))))),
% 8.18/6.16 inference(unit_resolution,[status(thm)],[19395, 3308])).
% 8.18/6.16 tff(19397,plain,
% 8.18/6.16 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB137) <=> (v114(constB137) | v125(constB137)))),
% 8.18/6.16 inference(quant_inst,[status(thm)],[])).
% 8.18/6.16 tff(19398,plain,
% 8.18/6.16 (v113(constB137) <=> (v114(constB137) | v125(constB137))),
% 8.18/6.16 inference(unit_resolution,[status(thm)],[19397, 3317])).
% 8.18/6.16 tff(19399,plain,
% 8.18/6.16 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB137) <=> (v115(constB137) | v124(constB137)))),
% 8.18/6.16 inference(quant_inst,[status(thm)],[])).
% 8.18/6.16 tff(19400,plain,
% 8.18/6.16 (v114(constB137) <=> (v115(constB137) | v124(constB137))),
% 8.18/6.16 inference(unit_resolution,[status(thm)],[19399, 3326])).
% 8.18/6.16 tff(19401,plain,
% 8.18/6.16 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB137) <=> (v116(constB137) | v123(constB137)))),
% 8.18/6.16 inference(quant_inst,[status(thm)],[])).
% 8.18/6.16 tff(19402,plain,
% 8.18/6.16 (v115(constB137) <=> (v116(constB137) | v123(constB137))),
% 8.18/6.16 inference(unit_resolution,[status(thm)],[19401, 3335])).
% 8.18/6.16 tff(19403,plain,
% 8.18/6.16 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB137) <=> (v117(constB137) | v122(constB137)))),
% 8.18/6.16 inference(quant_inst,[status(thm)],[])).
% 8.18/6.16 tff(19404,plain,
% 8.18/6.16 (v116(constB137) <=> (v117(constB137) | v122(constB137))),
% 8.18/6.16 inference(unit_resolution,[status(thm)],[19403, 3344])).
% 8.18/6.16 tff(19405,plain,
% 8.18/6.16 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB137) <=> (v118(constB137) | v121(constB137)))),
% 8.18/6.16 inference(quant_inst,[status(thm)],[])).
% 8.18/6.16 tff(19406,plain,
% 8.18/6.16 (v117(constB137) <=> (v118(constB137) | v121(constB137))),
% 8.18/6.16 inference(unit_resolution,[status(thm)],[19405, 3353])).
% 8.18/6.16 tff(19407,plain,
% 8.18/6.16 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB137) <=> (v119(constB137) | v120(constB137)))),
% 8.18/6.16 inference(quant_inst,[status(thm)],[])).
% 8.18/6.16 tff(19408,plain,
% 8.18/6.16 (v118(constB137) <=> (v119(constB137) | v120(constB137))),
% 8.18/6.16 inference(unit_resolution,[status(thm)],[19407, 3362])).
% 8.18/6.16 tff(19409,plain,
% 8.18/6.16 ((v119(constB137) | v120(constB137)) | (~v120(constB137))),
% 8.18/6.16 inference(tautology,[status(thm)],[])).
% 8.18/6.16 tff(19410,plain,
% 8.18/6.16 (v119(constB137) | v120(constB137)),
% 8.18/6.16 inference(unit_resolution,[status(thm)],[19409, 19342])).
% 8.18/6.16 tff(19411,plain,
% 8.18/6.16 ((~(v118(constB137) <=> (v119(constB137) | v120(constB137)))) | v118(constB137) | (~(v119(constB137) | v120(constB137)))),
% 8.18/6.16 inference(tautology,[status(thm)],[])).
% 8.18/6.16 tff(19412,plain,
% 8.18/6.16 (v118(constB137)),
% 8.18/6.16 inference(unit_resolution,[status(thm)],[19411, 19410, 19408])).
% 8.18/6.16 tff(19413,plain,
% 8.18/6.16 ((v118(constB137) | v121(constB137)) | (~v118(constB137))),
% 8.18/6.16 inference(tautology,[status(thm)],[])).
% 8.18/6.16 tff(19414,plain,
% 8.18/6.16 (v118(constB137) | v121(constB137)),
% 8.18/6.16 inference(unit_resolution,[status(thm)],[19413, 19412])).
% 8.18/6.16 tff(19415,plain,
% 8.18/6.16 ((~(v117(constB137) <=> (v118(constB137) | v121(constB137)))) | v117(constB137) | (~(v118(constB137) | v121(constB137)))),
% 8.18/6.16 inference(tautology,[status(thm)],[])).
% 8.18/6.16 tff(19416,plain,
% 8.18/6.16 (v117(constB137)),
% 8.18/6.16 inference(unit_resolution,[status(thm)],[19415, 19414, 19406])).
% 8.18/6.16 tff(19417,plain,
% 8.18/6.16 ((v117(constB137) | v122(constB137)) | (~v117(constB137))),
% 8.18/6.16 inference(tautology,[status(thm)],[])).
% 8.18/6.16 tff(19418,plain,
% 8.18/6.16 (v117(constB137) | v122(constB137)),
% 8.18/6.16 inference(unit_resolution,[status(thm)],[19417, 19416])).
% 8.18/6.16 tff(19419,plain,
% 8.18/6.16 ((~(v116(constB137) <=> (v117(constB137) | v122(constB137)))) | v116(constB137) | (~(v117(constB137) | v122(constB137)))),
% 8.18/6.16 inference(tautology,[status(thm)],[])).
% 8.18/6.16 tff(19420,plain,
% 8.18/6.16 (v116(constB137)),
% 8.18/6.16 inference(unit_resolution,[status(thm)],[19419, 19418, 19404])).
% 8.18/6.16 tff(19421,plain,
% 8.18/6.16 ((v116(constB137) | v123(constB137)) | (~v116(constB137))),
% 8.18/6.16 inference(tautology,[status(thm)],[])).
% 8.18/6.16 tff(19422,plain,
% 8.18/6.16 (v116(constB137) | v123(constB137)),
% 8.18/6.16 inference(unit_resolution,[status(thm)],[19421, 19420])).
% 8.18/6.16 tff(19423,plain,
% 8.18/6.16 ((~(v115(constB137) <=> (v116(constB137) | v123(constB137)))) | v115(constB137) | (~(v116(constB137) | v123(constB137)))),
% 8.18/6.16 inference(tautology,[status(thm)],[])).
% 8.18/6.16 tff(19424,plain,
% 8.18/6.16 (v115(constB137)),
% 8.18/6.16 inference(unit_resolution,[status(thm)],[19423, 19422, 19402])).
% 8.18/6.16 tff(19425,plain,
% 8.18/6.16 ((v115(constB137) | v124(constB137)) | (~v115(constB137))),
% 8.18/6.16 inference(tautology,[status(thm)],[])).
% 8.18/6.16 tff(19426,plain,
% 8.18/6.16 (v115(constB137) | v124(constB137)),
% 8.18/6.16 inference(unit_resolution,[status(thm)],[19425, 19424])).
% 8.18/6.16 tff(19427,plain,
% 8.18/6.16 ((~(v114(constB137) <=> (v115(constB137) | v124(constB137)))) | v114(constB137) | (~(v115(constB137) | v124(constB137)))),
% 8.18/6.16 inference(tautology,[status(thm)],[])).
% 8.18/6.16 tff(19428,plain,
% 8.18/6.16 (v114(constB137)),
% 8.18/6.16 inference(unit_resolution,[status(thm)],[19427, 19426, 19400])).
% 8.18/6.16 tff(19429,plain,
% 8.18/6.16 ((v114(constB137) | v125(constB137)) | (~v114(constB137))),
% 8.18/6.16 inference(tautology,[status(thm)],[])).
% 8.18/6.16 tff(19430,plain,
% 8.18/6.16 (v114(constB137) | v125(constB137)),
% 8.18/6.16 inference(unit_resolution,[status(thm)],[19429, 19428])).
% 8.18/6.16 tff(19431,plain,
% 8.18/6.16 ((~(v113(constB137) <=> (v114(constB137) | v125(constB137)))) | v113(constB137) | (~(v114(constB137) | v125(constB137)))),
% 8.18/6.16 inference(tautology,[status(thm)],[])).
% 8.18/6.16 tff(19432,plain,
% 8.18/6.16 (v113(constB137)),
% 8.18/6.16 inference(unit_resolution,[status(thm)],[19431, 19430, 19398])).
% 8.18/6.16 tff(19433,plain,
% 8.18/6.16 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB137)) <=> v111(constB137))),
% 8.18/6.16 inference(quant_inst,[status(thm)],[])).
% 8.18/6.16 tff(19434,plain,
% 8.18/6.16 ((~v126(constB137)) <=> v111(constB137)),
% 8.18/6.16 inference(unit_resolution,[status(thm)],[19433, 3396])).
% 8.18/6.16 tff(19435,plain,
% 8.18/6.16 ((~((~v126(constB137)) <=> v111(constB137))) | v126(constB137) | v111(constB137)),
% 8.18/6.16 inference(tautology,[status(thm)],[])).
% 8.18/6.16 tff(19436,plain,
% 8.18/6.16 ((~((~v126(constB137)) <=> v111(constB137))) | v126(constB137)),
% 8.18/6.16 inference(unit_resolution,[status(thm)],[19435, 16848])).
% 8.18/6.16 tff(19437,plain,
% 8.18/6.16 (v126(constB137)),
% 8.18/6.16 inference(unit_resolution,[status(thm)],[19436, 19434])).
% 8.18/6.16 tff(19438,plain,
% 8.18/6.16 ((~((~v113(constB137)) | (~v126(constB137)))) | (~v113(constB137)) | (~v126(constB137))),
% 8.18/6.16 inference(tautology,[status(thm)],[])).
% 8.18/6.16 tff(19439,plain,
% 8.18/6.16 ((~((~v113(constB137)) | (~v126(constB137)))) | (~v113(constB137))),
% 8.18/6.16 inference(unit_resolution,[status(thm)],[19438, 19437])).
% 8.18/6.16 tff(19440,plain,
% 8.18/6.16 (~((~v113(constB137)) | (~v126(constB137)))),
% 8.18/6.16 inference(unit_resolution,[status(thm)],[19439, 19432])).
% 8.18/6.16 tff(19441,plain,
% 8.18/6.16 ((~(v112(constB137) <=> (~((~v113(constB137)) | (~v126(constB137)))))) | v112(constB137) | ((~v113(constB137)) | (~v126(constB137)))),
% 8.18/6.16 inference(tautology,[status(thm)],[])).
% 8.18/6.16 tff(19442,plain,
% 8.18/6.16 (v112(constB137)),
% 8.18/6.16 inference(unit_resolution,[status(thm)],[19441, 19440, 19396])).
% 8.18/6.16 tff(19443,plain,
% 8.18/6.16 ((v111(constB137) | v112(constB137)) | (~v112(constB137))),
% 8.18/6.16 inference(tautology,[status(thm)],[])).
% 8.18/6.16 tff(19444,plain,
% 8.18/6.16 (v111(constB137) | v112(constB137)),
% 8.18/6.16 inference(unit_resolution,[status(thm)],[19443, 19442])).
% 8.18/6.16 tff(19445,plain,
% 8.18/6.16 ((~(v108(constB137) <=> (v111(constB137) | v112(constB137)))) | v108(constB137) | (~(v111(constB137) | v112(constB137)))),
% 8.18/6.16 inference(tautology,[status(thm)],[])).
% 8.18/6.16 tff(19446,plain,
% 8.18/6.16 (v108(constB137)),
% 8.18/6.16 inference(unit_resolution,[status(thm)],[19445, 19444, 19394])).
% 8.18/6.16 tff(19447,plain,
% 8.18/6.16 ((~(v110(constB138) <=> v108(constB137))) | v110(constB138) | (~v108(constB137))),
% 8.18/6.16 inference(tautology,[status(thm)],[])).
% 8.18/6.16 tff(19448,plain,
% 8.18/6.16 (v110(constB138)),
% 8.18/6.16 inference(unit_resolution,[status(thm)],[19447, 19446, 19392])).
% 8.18/6.16 tff(19449,plain,
% 8.18/6.16 ((~((~v101(constB138)) | (~v110(constB138)))) | (~v101(constB138)) | (~v110(constB138))),
% 8.18/6.16 inference(tautology,[status(thm)],[])).
% 8.18/6.16 tff(19450,plain,
% 8.18/6.16 (~((~v101(constB138)) | (~v110(constB138)))),
% 8.18/6.16 inference(unit_resolution,[status(thm)],[19449, 19448, 19388])).
% 8.18/6.16 tff(19451,plain,
% 8.18/6.16 ((~(v100(constB138) <=> (~((~v101(constB138)) | (~v110(constB138)))))) | v100(constB138) | ((~v101(constB138)) | (~v110(constB138)))),
% 8.18/6.16 inference(tautology,[status(thm)],[])).
% 8.18/6.16 tff(19452,plain,
% 8.18/6.16 (v100(constB138)),
% 8.18/6.16 inference(unit_resolution,[status(thm)],[19451, 19450, 19360])).
% 8.18/6.16 tff(19453,plain,
% 8.18/6.16 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB138)) | (~(((~v90(constB138, bitIndex0)) <=> v129(constB138, bitIndex0)) | ((~v90(constB138, bitIndex2)) <=> v129(constB138, bitIndex2)) | ((~v90(constB138, bitIndex1)) <=> v129(constB138, bitIndex1)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB138)) | (~(((~v90(constB138, bitIndex0)) <=> v129(constB138, bitIndex0)) | ((~v90(constB138, bitIndex2)) <=> v129(constB138, bitIndex2)) | ((~v90(constB138, bitIndex1)) <=> v129(constB138, bitIndex1)))))),
% 8.18/6.17 inference(rewrite,[status(thm)],[])).
% 8.18/6.17 tff(19454,plain,
% 8.18/6.17 (((~v100(constB138)) | (~(((~v90(constB138, bitIndex2)) <=> v129(constB138, bitIndex2)) | ((~v90(constB138, bitIndex1)) <=> v129(constB138, bitIndex1)) | ((~v90(constB138, bitIndex0)) <=> v129(constB138, bitIndex0))))) <=> ((~v100(constB138)) | (~(((~v90(constB138, bitIndex0)) <=> v129(constB138, bitIndex0)) | ((~v90(constB138, bitIndex2)) <=> v129(constB138, bitIndex2)) | ((~v90(constB138, bitIndex1)) <=> v129(constB138, bitIndex1)))))),
% 8.18/6.17 inference(rewrite,[status(thm)],[])).
% 8.18/6.17 tff(19455,plain,
% 8.18/6.17 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB138)) | (~(((~v90(constB138, bitIndex2)) <=> v129(constB138, bitIndex2)) | ((~v90(constB138, bitIndex1)) <=> v129(constB138, bitIndex1)) | ((~v90(constB138, bitIndex0)) <=> v129(constB138, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB138)) | (~(((~v90(constB138, bitIndex0)) <=> v129(constB138, bitIndex0)) | ((~v90(constB138, bitIndex2)) <=> v129(constB138, bitIndex2)) | ((~v90(constB138, bitIndex1)) <=> v129(constB138, bitIndex1))))))),
% 8.18/6.17 inference(monotonicity,[status(thm)],[19454])).
% 8.18/6.17 tff(19456,plain,
% 8.18/6.17 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB138)) | (~(((~v90(constB138, bitIndex2)) <=> v129(constB138, bitIndex2)) | ((~v90(constB138, bitIndex1)) <=> v129(constB138, bitIndex1)) | ((~v90(constB138, bitIndex0)) <=> v129(constB138, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB138)) | (~(((~v90(constB138, bitIndex0)) <=> v129(constB138, bitIndex0)) | ((~v90(constB138, bitIndex2)) <=> v129(constB138, bitIndex2)) | ((~v90(constB138, bitIndex1)) <=> v129(constB138, bitIndex1)))))),
% 8.18/6.17 inference(transitivity,[status(thm)],[19455, 19453])).
% 8.18/6.17 tff(19457,plain,
% 8.18/6.17 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB138)) | (~(((~v90(constB138, bitIndex2)) <=> v129(constB138, bitIndex2)) | ((~v90(constB138, bitIndex1)) <=> v129(constB138, bitIndex1)) | ((~v90(constB138, bitIndex0)) <=> v129(constB138, bitIndex0)))))),
% 8.18/6.17 inference(quant_inst,[status(thm)],[])).
% 8.18/6.17 tff(19458,plain,
% 8.18/6.17 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB138)) | (~(((~v90(constB138, bitIndex0)) <=> v129(constB138, bitIndex0)) | ((~v90(constB138, bitIndex2)) <=> v129(constB138, bitIndex2)) | ((~v90(constB138, bitIndex1)) <=> v129(constB138, bitIndex1))))),
% 8.18/6.17 inference(modus_ponens,[status(thm)],[19457, 19456])).
% 8.18/6.17 tff(19459,plain,
% 8.18/6.17 ((~v100(constB138)) | (~(((~v90(constB138, bitIndex0)) <=> v129(constB138, bitIndex0)) | ((~v90(constB138, bitIndex2)) <=> v129(constB138, bitIndex2)) | ((~v90(constB138, bitIndex1)) <=> v129(constB138, bitIndex1))))),
% 8.18/6.17 inference(unit_resolution,[status(thm)],[19458, 3429])).
% 8.18/6.17 tff(19460,plain,
% 8.18/6.17 (~(((~v90(constB138, bitIndex0)) <=> v129(constB138, bitIndex0)) | ((~v90(constB138, bitIndex2)) <=> v129(constB138, bitIndex2)) | ((~v90(constB138, bitIndex1)) <=> v129(constB138, bitIndex1)))),
% 8.18/6.17 inference(unit_resolution,[status(thm)],[19459, 19452])).
% 8.18/6.17 tff(19461,plain,
% 8.18/6.17 ((((~v90(constB138, bitIndex0)) <=> v129(constB138, bitIndex0)) | ((~v90(constB138, bitIndex2)) <=> v129(constB138, bitIndex2)) | ((~v90(constB138, bitIndex1)) <=> v129(constB138, bitIndex1))) | (~((~v90(constB138, bitIndex2)) <=> v129(constB138, bitIndex2)))),
% 8.18/6.17 inference(tautology,[status(thm)],[])).
% 8.18/6.17 tff(19462,plain,
% 8.18/6.17 (~((~v90(constB138, bitIndex2)) <=> v129(constB138, bitIndex2))),
% 8.18/6.17 inference(unit_resolution,[status(thm)],[19461, 19460])).
% 8.18/6.17 tff(19463,plain,
% 8.18/6.17 (((~v90(constB138, bitIndex2)) <=> v129(constB138, bitIndex2)) | (~v90(constB138, bitIndex2)) | v129(constB138, bitIndex2)),
% 8.18/6.17 inference(tautology,[status(thm)],[])).
% 8.18/6.17 tff(19464,plain,
% 8.18/6.17 (~v90(constB138, bitIndex2)),
% 8.18/6.17 inference(unit_resolution,[status(thm)],[19463, 19462, 19356])).
% 8.18/6.17 tff(19465,plain,
% 8.18/6.17 (((~v90(constB139, bitIndex2)) <=> v90(constB138, bitIndex2)) | (~v90(constB139, bitIndex2)) | v90(constB138, bitIndex2)),
% 8.18/6.17 inference(tautology,[status(thm)],[])).
% 8.18/6.17 tff(19466,plain,
% 8.18/6.17 (~v90(constB139, bitIndex2)),
% 8.18/6.17 inference(unit_resolution,[status(thm)],[19465, 19464, 16832])).
% 8.18/6.17 tff(19467,plain,
% 8.18/6.17 ((((~v90(constB139, bitIndex1)) <=> v90(constB138, bitIndex1)) | ((~v90(constB139, bitIndex2)) <=> v90(constB138, bitIndex2)) | ((~v90(constB139, bitIndex0)) <=> v90(constB138, bitIndex0))) | (~((~v90(constB139, bitIndex0)) <=> v90(constB138, bitIndex0)))),
% 8.18/6.17 inference(tautology,[status(thm)],[])).
% 8.18/6.17 tff(19468,plain,
% 8.18/6.17 (~((~v90(constB139, bitIndex0)) <=> v90(constB138, bitIndex0))),
% 8.18/6.17 inference(unit_resolution,[status(thm)],[19467, 16830])).
% 8.18/6.17 tff(19469,plain,
% 8.18/6.17 ((((~v129(constB138, bitIndex2)) <=> v127(constB137, bitIndex2)) | ((~v129(constB138, bitIndex1)) <=> v127(constB137, bitIndex1)) | ((~v129(constB138, bitIndex0)) <=> v127(constB137, bitIndex0))) | (~((~v129(constB138, bitIndex0)) <=> v127(constB137, bitIndex0)))),
% 8.18/6.17 inference(tautology,[status(thm)],[])).
% 8.18/6.17 tff(19470,plain,
% 8.18/6.17 (~((~v129(constB138, bitIndex0)) <=> v127(constB137, bitIndex0))),
% 8.18/6.17 inference(unit_resolution,[status(thm)],[19469, 16839])).
% 8.18/6.17 tff(19471,plain,
% 8.18/6.17 ((((~v127(constB137, bitIndex2)) <=> v130(constB137, bitIndex2)) | ((~v127(constB137, bitIndex1)) <=> v130(constB137, bitIndex1)) | ((~v127(constB137, bitIndex0)) <=> v130(constB137, bitIndex0))) | (~((~v127(constB137, bitIndex0)) <=> v130(constB137, bitIndex0)))),
% 8.18/6.17 inference(tautology,[status(thm)],[])).
% 8.18/6.17 tff(19472,plain,
% 8.18/6.17 (~((~v127(constB137, bitIndex0)) <=> v130(constB137, bitIndex0))),
% 8.18/6.17 inference(unit_resolution,[status(thm)],[19471, 16853])).
% 8.18/6.17 tff(19473,plain,
% 8.18/6.17 ((v130(constB137, bitIndex2) | v130(constB137, bitIndex0) | (~v130(constB137, bitIndex1))) | (~v130(constB137, bitIndex0))),
% 8.18/6.17 inference(tautology,[status(thm)],[])).
% 8.18/6.17 tff(19474,plain,
% 8.18/6.17 (~v130(constB137, bitIndex0)),
% 8.18/6.17 inference(unit_resolution,[status(thm)],[19473, 19350])).
% 8.18/6.17 tff(19475,plain,
% 8.18/6.17 (((~v127(constB137, bitIndex0)) <=> v130(constB137, bitIndex0)) | (~v127(constB137, bitIndex0)) | v130(constB137, bitIndex0)),
% 8.18/6.17 inference(tautology,[status(thm)],[])).
% 8.18/6.17 tff(19476,plain,
% 8.18/6.17 (~v127(constB137, bitIndex0)),
% 8.18/6.17 inference(unit_resolution,[status(thm)],[19475, 19474, 19472])).
% 8.18/6.17 tff(19477,plain,
% 8.18/6.17 (((~v129(constB138, bitIndex0)) <=> v127(constB137, bitIndex0)) | (~v129(constB138, bitIndex0)) | v127(constB137, bitIndex0)),
% 8.18/6.17 inference(tautology,[status(thm)],[])).
% 8.18/6.17 tff(19478,plain,
% 8.18/6.17 (~v129(constB138, bitIndex0)),
% 8.18/6.17 inference(unit_resolution,[status(thm)],[19477, 19476, 19470])).
% 8.18/6.17 tff(19479,plain,
% 8.18/6.17 ((((~v90(constB138, bitIndex0)) <=> v129(constB138, bitIndex0)) | ((~v90(constB138, bitIndex2)) <=> v129(constB138, bitIndex2)) | ((~v90(constB138, bitIndex1)) <=> v129(constB138, bitIndex1))) | (~((~v90(constB138, bitIndex0)) <=> v129(constB138, bitIndex0)))),
% 8.18/6.17 inference(tautology,[status(thm)],[])).
% 8.18/6.17 tff(19480,plain,
% 8.18/6.17 (~((~v90(constB138, bitIndex0)) <=> v129(constB138, bitIndex0))),
% 8.18/6.17 inference(unit_resolution,[status(thm)],[19479, 19460])).
% 8.18/6.17 tff(19481,plain,
% 8.18/6.17 (((~v90(constB138, bitIndex0)) <=> v129(constB138, bitIndex0)) | (~v90(constB138, bitIndex0)) | v129(constB138, bitIndex0)),
% 8.18/6.17 inference(tautology,[status(thm)],[])).
% 8.18/6.17 tff(19482,plain,
% 8.18/6.17 (~v90(constB138, bitIndex0)),
% 8.18/6.17 inference(unit_resolution,[status(thm)],[19481, 19480, 19478])).
% 8.18/6.17 tff(19483,plain,
% 8.18/6.17 (((~v90(constB139, bitIndex0)) <=> v90(constB138, bitIndex0)) | (~v90(constB139, bitIndex0)) | v90(constB138, bitIndex0)),
% 8.18/6.17 inference(tautology,[status(thm)],[])).
% 8.18/6.17 tff(19484,plain,
% 8.18/6.17 (~v90(constB139, bitIndex0)),
% 8.18/6.17 inference(unit_resolution,[status(thm)],[19483, 19482, 19468])).
% 8.18/6.17 tff(19485,plain,
% 8.18/6.17 ((((~v90(constB139, bitIndex1)) <=> v90(constB138, bitIndex1)) | ((~v90(constB139, bitIndex2)) <=> v90(constB138, bitIndex2)) | ((~v90(constB139, bitIndex0)) <=> v90(constB138, bitIndex0))) | (~((~v90(constB139, bitIndex1)) <=> v90(constB138, bitIndex1)))),
% 8.18/6.17 inference(tautology,[status(thm)],[])).
% 8.18/6.17 tff(19486,plain,
% 8.18/6.17 (~((~v90(constB139, bitIndex1)) <=> v90(constB138, bitIndex1))),
% 8.18/6.17 inference(unit_resolution,[status(thm)],[19485, 16830])).
% 8.18/6.17 tff(19487,plain,
% 8.18/6.17 ((((~v129(constB138, bitIndex2)) <=> v127(constB137, bitIndex2)) | ((~v129(constB138, bitIndex1)) <=> v127(constB137, bitIndex1)) | ((~v129(constB138, bitIndex0)) <=> v127(constB137, bitIndex0))) | (~((~v129(constB138, bitIndex1)) <=> v127(constB137, bitIndex1)))),
% 8.18/6.17 inference(tautology,[status(thm)],[])).
% 8.18/6.17 tff(19488,plain,
% 8.18/6.17 (~((~v129(constB138, bitIndex1)) <=> v127(constB137, bitIndex1))),
% 8.18/6.17 inference(unit_resolution,[status(thm)],[19487, 16839])).
% 8.18/6.17 tff(19489,plain,
% 8.18/6.17 ((((~v127(constB137, bitIndex2)) <=> v130(constB137, bitIndex2)) | ((~v127(constB137, bitIndex1)) <=> v130(constB137, bitIndex1)) | ((~v127(constB137, bitIndex0)) <=> v130(constB137, bitIndex0))) | (~((~v127(constB137, bitIndex1)) <=> v130(constB137, bitIndex1)))),
% 8.18/6.17 inference(tautology,[status(thm)],[])).
% 8.18/6.17 tff(19490,plain,
% 8.18/6.17 (~((~v127(constB137, bitIndex1)) <=> v130(constB137, bitIndex1))),
% 8.18/6.17 inference(unit_resolution,[status(thm)],[19489, 16853])).
% 8.18/6.17 tff(19491,plain,
% 8.18/6.17 ((v130(constB137, bitIndex2) | v130(constB137, bitIndex0) | (~v130(constB137, bitIndex1))) | v130(constB137, bitIndex1)),
% 8.18/6.17 inference(tautology,[status(thm)],[])).
% 8.18/6.17 tff(19492,plain,
% 8.18/6.17 (v130(constB137, bitIndex1)),
% 8.18/6.17 inference(unit_resolution,[status(thm)],[19491, 19350])).
% 8.18/6.17 tff(19493,plain,
% 8.18/6.17 (((~v127(constB137, bitIndex1)) <=> v130(constB137, bitIndex1)) | v127(constB137, bitIndex1) | (~v130(constB137, bitIndex1))),
% 8.18/6.17 inference(tautology,[status(thm)],[])).
% 8.18/6.17 tff(19494,plain,
% 8.18/6.17 (v127(constB137, bitIndex1)),
% 8.18/6.17 inference(unit_resolution,[status(thm)],[19493, 19492, 19490])).
% 8.18/6.17 tff(19495,plain,
% 8.18/6.17 (((~v129(constB138, bitIndex1)) <=> v127(constB137, bitIndex1)) | v129(constB138, bitIndex1) | (~v127(constB137, bitIndex1))),
% 8.18/6.17 inference(tautology,[status(thm)],[])).
% 8.18/6.17 tff(19496,plain,
% 8.18/6.17 (v129(constB138, bitIndex1)),
% 8.18/6.17 inference(unit_resolution,[status(thm)],[19495, 19494, 19488])).
% 8.18/6.17 tff(19497,plain,
% 8.18/6.17 ((((~v90(constB138, bitIndex0)) <=> v129(constB138, bitIndex0)) | ((~v90(constB138, bitIndex2)) <=> v129(constB138, bitIndex2)) | ((~v90(constB138, bitIndex1)) <=> v129(constB138, bitIndex1))) | (~((~v90(constB138, bitIndex1)) <=> v129(constB138, bitIndex1)))),
% 8.18/6.17 inference(tautology,[status(thm)],[])).
% 8.18/6.17 tff(19498,plain,
% 8.18/6.17 (~((~v90(constB138, bitIndex1)) <=> v129(constB138, bitIndex1))),
% 8.18/6.17 inference(unit_resolution,[status(thm)],[19497, 19460])).
% 8.18/6.17 tff(19499,plain,
% 8.18/6.17 (((~v90(constB138, bitIndex1)) <=> v129(constB138, bitIndex1)) | v90(constB138, bitIndex1) | (~v129(constB138, bitIndex1))),
% 8.18/6.17 inference(tautology,[status(thm)],[])).
% 8.18/6.17 tff(19500,plain,
% 8.18/6.17 (v90(constB138, bitIndex1)),
% 8.18/6.17 inference(unit_resolution,[status(thm)],[19499, 19498, 19496])).
% 8.18/6.17 tff(19501,plain,
% 8.18/6.17 (((~v90(constB139, bitIndex1)) <=> v90(constB138, bitIndex1)) | v90(constB139, bitIndex1) | (~v90(constB138, bitIndex1))),
% 8.18/6.17 inference(tautology,[status(thm)],[])).
% 8.18/6.17 tff(19502,plain,
% 8.18/6.17 (v90(constB139, bitIndex1)),
% 8.18/6.17 inference(unit_resolution,[status(thm)],[19501, 19500, 19486])).
% 8.18/6.17 tff(19503,plain,
% 8.18/6.17 ((~(v90(constB139, bitIndex2) | v90(constB139, bitIndex0) | (~v90(constB139, bitIndex1)))) | v90(constB139, bitIndex2) | v90(constB139, bitIndex0) | (~v90(constB139, bitIndex1))),
% 8.18/6.17 inference(tautology,[status(thm)],[])).
% 8.18/6.17 tff(19504,plain,
% 8.18/6.17 (~(v90(constB139, bitIndex2) | v90(constB139, bitIndex0) | (~v90(constB139, bitIndex1)))),
% 8.18/6.17 inference(unit_resolution,[status(thm)],[19503, 19502, 19484, 19466])).
% 8.18/6.17 tff(19505,plain,
% 8.18/6.17 ((~(v121(constB139) <=> (~(v90(constB139, bitIndex2) | v90(constB139, bitIndex0) | (~v90(constB139, bitIndex1)))))) | v121(constB139) | (v90(constB139, bitIndex2) | v90(constB139, bitIndex0) | (~v90(constB139, bitIndex1)))),
% 8.18/6.17 inference(tautology,[status(thm)],[])).
% 8.18/6.17 tff(19506,plain,
% 8.18/6.17 (v121(constB139)),
% 8.18/6.17 inference(unit_resolution,[status(thm)],[19505, 19504, 16796])).
% 8.18/6.17 tff(19507,plain,
% 8.18/6.17 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB139)) | (~(v130(constB139, bitIndex2) | (~v130(constB139, bitIndex1)) | (~v130(constB139, bitIndex0)))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | (~v121(constB139)) | (~(v130(constB139, bitIndex2) | (~v130(constB139, bitIndex1)) | (~v130(constB139, bitIndex0)))))),
% 8.18/6.17 inference(rewrite,[status(thm)],[])).
% 8.18/6.17 tff(19508,plain,
% 8.18/6.17 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB139)) | (~(v130(constB139, bitIndex2) | (~v130(constB139, bitIndex1)) | (~v130(constB139, bitIndex0)))))),
% 8.18/6.17 inference(quant_inst,[status(thm)],[])).
% 8.18/6.17 tff(19509,plain,
% 8.18/6.17 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | (~v121(constB139)) | (~(v130(constB139, bitIndex2) | (~v130(constB139, bitIndex1)) | (~v130(constB139, bitIndex0))))),
% 8.18/6.17 inference(modus_ponens,[status(thm)],[19508, 19507])).
% 8.18/6.17 tff(19510,plain,
% 8.18/6.17 ((~v121(constB139)) | (~(v130(constB139, bitIndex2) | (~v130(constB139, bitIndex1)) | (~v130(constB139, bitIndex0))))),
% 8.18/6.17 inference(unit_resolution,[status(thm)],[19509, 4055])).
% 8.18/6.17 tff(19511,plain,
% 8.18/6.17 (~(v130(constB139, bitIndex2) | (~v130(constB139, bitIndex1)) | (~v130(constB139, bitIndex0)))),
% 8.18/6.17 inference(unit_resolution,[status(thm)],[19510, 19506])).
% 8.18/6.17 tff(19512,plain,
% 8.18/6.17 ((v130(constB139, bitIndex2) | (~v130(constB139, bitIndex1)) | (~v130(constB139, bitIndex0))) | (~v130(constB139, bitIndex2))),
% 8.18/6.17 inference(tautology,[status(thm)],[])).
% 8.18/6.17 tff(19513,plain,
% 8.18/6.17 (~v130(constB139, bitIndex2)),
% 8.18/6.17 inference(unit_resolution,[status(thm)],[19512, 19511])).
% 8.18/6.17 tff(19514,plain,
% 8.18/6.17 (((~v127(constB139, bitIndex2)) <=> v130(constB139, bitIndex2)) | (~v127(constB139, bitIndex2)) | v130(constB139, bitIndex2)),
% 8.18/6.17 inference(tautology,[status(thm)],[])).
% 8.18/6.17 tff(19515,plain,
% 8.18/6.17 (~v127(constB139, bitIndex2)),
% 8.18/6.17 inference(unit_resolution,[status(thm)],[19514, 19513, 16789])).
% 8.18/6.17 tff(19516,plain,
% 8.18/6.17 (((~v129(constB140, bitIndex2)) <=> v127(constB139, bitIndex2)) | (~v129(constB140, bitIndex2)) | v127(constB139, bitIndex2)),
% 8.18/6.17 inference(tautology,[status(thm)],[])).
% 8.18/6.17 tff(19517,plain,
% 8.18/6.17 (~v129(constB140, bitIndex2)),
% 8.18/6.17 inference(unit_resolution,[status(thm)],[19516, 19515, 16775])).
% 8.18/6.17 tff(19518,plain,
% 8.18/6.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB139, constB140)) | (v100(constB140) <=> (~((~v101(constB140)) | (~v110(constB140))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB139, constB140)) | (v100(constB140) <=> (~((~v101(constB140)) | (~v110(constB140))))))),
% 8.18/6.17 inference(rewrite,[status(thm)],[])).
% 8.18/6.17 tff(19519,plain,
% 8.18/6.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB139, constB140)) | (v100(constB140) <=> (~((~v101(constB140)) | (~v110(constB140))))))),
% 8.18/6.17 inference(quant_inst,[status(thm)],[])).
% 8.18/6.17 tff(19520,plain,
% 8.18/6.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB139, constB140)) | (v100(constB140) <=> (~((~v101(constB140)) | (~v110(constB140)))))),
% 8.18/6.17 inference(modus_ponens,[status(thm)],[19519, 19518])).
% 8.18/6.17 tff(19521,plain,
% 8.18/6.17 (v100(constB140) <=> (~((~v101(constB140)) | (~v110(constB140))))),
% 8.18/6.17 inference(unit_resolution,[status(thm)],[19520, 16769, 445])).
% 8.18/6.17 tff(19522,plain,
% 8.18/6.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB139, constB140)) | (v101(constB140) <=> (~((~v1(constB140)) | (~v102(constB140))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB139, constB140)) | (v101(constB140) <=> (~((~v1(constB140)) | (~v102(constB140))))))),
% 8.18/6.17 inference(rewrite,[status(thm)],[])).
% 8.18/6.17 tff(19523,plain,
% 8.18/6.17 (((~nextState(constB139, constB140)) | (v101(constB140) <=> (~((~v102(constB140)) | (~v1(constB140)))))) <=> ((~nextState(constB139, constB140)) | (v101(constB140) <=> (~((~v1(constB140)) | (~v102(constB140))))))),
% 8.18/6.17 inference(rewrite,[status(thm)],[])).
% 8.18/6.17 tff(19524,plain,
% 8.18/6.17 (((~![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) <=> (~((~v1(constB140)) | (~v102(constB140)))))))),
% 8.18/6.17 inference(monotonicity,[status(thm)],[19523])).
% 8.18/6.17 tff(19525,plain,
% 8.18/6.17 (((~![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) <=> (~((~v1(constB140)) | (~v102(constB140))))))),
% 8.18/6.17 inference(transitivity,[status(thm)],[19524, 19522])).
% 8.18/6.17 tff(19526,plain,
% 8.18/6.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB139, constB140)) | (v101(constB140) <=> (~((~v102(constB140)) | (~v1(constB140))))))),
% 8.18/6.17 inference(quant_inst,[status(thm)],[])).
% 8.18/6.17 tff(19527,plain,
% 8.18/6.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB139, constB140)) | (v101(constB140) <=> (~((~v1(constB140)) | (~v102(constB140)))))),
% 8.18/6.17 inference(modus_ponens,[status(thm)],[19526, 19525])).
% 8.18/6.17 tff(19528,plain,
% 8.18/6.17 (v101(constB140) <=> (~((~v1(constB140)) | (~v102(constB140))))),
% 8.18/6.17 inference(unit_resolution,[status(thm)],[19527, 16769, 465])).
% 8.18/6.17 tff(19529,plain,
% 8.18/6.17 (((~![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)))),
% 8.18/6.17 inference(rewrite,[status(thm)],[])).
% 8.18/6.17 tff(19530,plain,
% 8.18/6.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB139, constB140)) | ((~v102(constB140)) <=> v104(constB140)))),
% 8.18/6.17 inference(quant_inst,[status(thm)],[])).
% 8.18/6.17 tff(19531,plain,
% 8.18/6.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB139, constB140)) | ((~v102(constB140)) <=> v104(constB140))),
% 8.18/6.17 inference(modus_ponens,[status(thm)],[19530, 19529])).
% 8.18/6.17 tff(19532,plain,
% 8.18/6.17 ((~v102(constB140)) <=> v104(constB140)),
% 8.18/6.17 inference(unit_resolution,[status(thm)],[19531, 16769, 3244])).
% 8.18/6.17 tff(19533,plain,
% 8.18/6.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB139, constB140)) | (v104(constB140) <=> v1(constB139)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB139, constB140)) | (v104(constB140) <=> v1(constB139)))),
% 8.18/6.17 inference(rewrite,[status(thm)],[])).
% 8.18/6.17 tff(19534,plain,
% 8.18/6.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB139, constB140)) | (v104(constB140) <=> v1(constB139)))),
% 8.18/6.17 inference(quant_inst,[status(thm)],[])).
% 8.18/6.17 tff(19535,plain,
% 8.18/6.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB139, constB140)) | (v104(constB140) <=> v1(constB139))),
% 8.18/6.17 inference(modus_ponens,[status(thm)],[19534, 19533])).
% 8.18/6.17 tff(19536,plain,
% 8.18/6.17 (v104(constB140) <=> v1(constB139)),
% 8.18/6.17 inference(unit_resolution,[status(thm)],[19535, 16769, 3258])).
% 8.18/6.17 tff(19537,plain,
% 8.18/6.17 ((~(v104(constB140) <=> v1(constB139))) | (~v104(constB140)) | v1(constB139)),
% 8.18/6.17 inference(tautology,[status(thm)],[])).
% 8.18/6.17 tff(19538,plain,
% 8.18/6.17 ((~(v104(constB140) <=> v1(constB139))) | (~v104(constB140))),
% 8.18/6.17 inference(unit_resolution,[status(thm)],[19537, 16813])).
% 8.18/6.17 tff(19539,plain,
% 8.18/6.17 (~v104(constB140)),
% 8.18/6.17 inference(unit_resolution,[status(thm)],[19538, 19536])).
% 8.18/6.17 tff(19540,plain,
% 8.18/6.17 ((~((~v102(constB140)) <=> v104(constB140))) | v102(constB140) | v104(constB140)),
% 8.18/6.17 inference(tautology,[status(thm)],[])).
% 8.18/6.17 tff(19541,plain,
% 8.18/6.17 (v102(constB140)),
% 8.18/6.17 inference(unit_resolution,[status(thm)],[19540, 19539, 19532])).
% 8.18/6.17 tff(19542,plain,
% 8.18/6.17 (v1(constB140) <=> v1(constB140)),
% 8.18/6.17 inference(rewrite,[status(thm)],[])).
% 8.18/6.17 tff(19543,axiom,(v1(constB140)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_140')).
% 8.18/6.17 tff(19544,plain,
% 8.18/6.17 (v1(constB140)),
% 8.18/6.17 inference(modus_ponens,[status(thm)],[19543, 19542])).
% 8.18/6.17 tff(19545,plain,
% 8.18/6.17 ((~((~v1(constB140)) | (~v102(constB140)))) | (~v1(constB140)) | (~v102(constB140))),
% 8.18/6.17 inference(tautology,[status(thm)],[])).
% 8.18/6.17 tff(19546,plain,
% 8.18/6.17 ((~((~v1(constB140)) | (~v102(constB140)))) | (~v102(constB140))),
% 8.18/6.17 inference(unit_resolution,[status(thm)],[19545, 19544])).
% 8.18/6.17 tff(19547,plain,
% 8.18/6.17 (~((~v1(constB140)) | (~v102(constB140)))),
% 8.18/6.17 inference(unit_resolution,[status(thm)],[19546, 19541])).
% 8.18/6.17 tff(19548,plain,
% 8.18/6.17 ((~(v101(constB140) <=> (~((~v1(constB140)) | (~v102(constB140)))))) | v101(constB140) | ((~v1(constB140)) | (~v102(constB140)))),
% 8.18/6.17 inference(tautology,[status(thm)],[])).
% 8.18/6.17 tff(19549,plain,
% 8.18/6.17 (v101(constB140)),
% 8.18/6.17 inference(unit_resolution,[status(thm)],[19548, 19547, 19528])).
% 8.18/6.17 tff(19550,plain,
% 8.18/6.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB139, constB140)) | (v110(constB140) <=> v108(constB139)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB139, constB140)) | (v110(constB140) <=> v108(constB139)))),
% 8.18/6.17 inference(rewrite,[status(thm)],[])).
% 8.18/6.17 tff(19551,plain,
% 8.18/6.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB139, constB140)) | (v110(constB140) <=> v108(constB139)))),
% 8.18/6.17 inference(quant_inst,[status(thm)],[])).
% 8.18/6.17 tff(19552,plain,
% 8.18/6.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB139, constB140)) | (v110(constB140) <=> v108(constB139))),
% 8.18/6.17 inference(modus_ponens,[status(thm)],[19551, 19550])).
% 8.18/6.17 tff(19553,plain,
% 8.18/6.17 (v110(constB140) <=> v108(constB139)),
% 8.18/6.17 inference(unit_resolution,[status(thm)],[19552, 16769, 3285])).
% 8.18/6.17 tff(19554,plain,
% 8.18/6.17 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB139) <=> (v111(constB139) | v112(constB139)))),
% 8.18/6.17 inference(quant_inst,[status(thm)],[])).
% 8.18/6.17 tff(19555,plain,
% 8.18/6.17 (v108(constB139) <=> (v111(constB139) | v112(constB139))),
% 8.18/6.17 inference(unit_resolution,[status(thm)],[19554, 3296])).
% 8.18/6.17 tff(19556,plain,
% 8.18/6.17 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB139) <=> (~((~v113(constB139)) | (~v126(constB139)))))),
% 8.18/6.17 inference(quant_inst,[status(thm)],[])).
% 8.18/6.17 tff(19557,plain,
% 8.18/6.17 (v112(constB139) <=> (~((~v113(constB139)) | (~v126(constB139))))),
% 8.18/6.17 inference(unit_resolution,[status(thm)],[19556, 3308])).
% 8.18/6.17 tff(19558,plain,
% 8.18/6.17 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB139) <=> (v114(constB139) | v125(constB139)))),
% 8.18/6.17 inference(quant_inst,[status(thm)],[])).
% 8.18/6.17 tff(19559,plain,
% 8.18/6.17 (v113(constB139) <=> (v114(constB139) | v125(constB139))),
% 8.18/6.17 inference(unit_resolution,[status(thm)],[19558, 3317])).
% 8.18/6.17 tff(19560,plain,
% 8.18/6.17 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB139) <=> (v115(constB139) | v124(constB139)))),
% 8.18/6.17 inference(quant_inst,[status(thm)],[])).
% 8.18/6.17 tff(19561,plain,
% 8.18/6.17 (v114(constB139) <=> (v115(constB139) | v124(constB139))),
% 8.18/6.17 inference(unit_resolution,[status(thm)],[19560, 3326])).
% 8.18/6.17 tff(19562,plain,
% 8.18/6.17 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB139) <=> (v116(constB139) | v123(constB139)))),
% 8.18/6.17 inference(quant_inst,[status(thm)],[])).
% 8.18/6.17 tff(19563,plain,
% 8.18/6.17 (v115(constB139) <=> (v116(constB139) | v123(constB139))),
% 8.18/6.17 inference(unit_resolution,[status(thm)],[19562, 3335])).
% 8.18/6.17 tff(19564,plain,
% 8.18/6.17 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB139) <=> (v117(constB139) | v122(constB139)))),
% 8.18/6.17 inference(quant_inst,[status(thm)],[])).
% 8.18/6.17 tff(19565,plain,
% 8.18/6.17 (v116(constB139) <=> (v117(constB139) | v122(constB139))),
% 8.18/6.17 inference(unit_resolution,[status(thm)],[19564, 3344])).
% 8.18/6.17 tff(19566,plain,
% 8.18/6.17 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB139) <=> (v118(constB139) | v121(constB139)))),
% 8.18/6.17 inference(quant_inst,[status(thm)],[])).
% 8.18/6.17 tff(19567,plain,
% 8.18/6.17 (v117(constB139) <=> (v118(constB139) | v121(constB139))),
% 8.18/6.17 inference(unit_resolution,[status(thm)],[19566, 3353])).
% 8.18/6.17 tff(19568,plain,
% 8.18/6.17 ((v118(constB139) | v121(constB139)) | (~v121(constB139))),
% 8.18/6.17 inference(tautology,[status(thm)],[])).
% 8.18/6.17 tff(19569,plain,
% 8.18/6.17 (v118(constB139) | v121(constB139)),
% 8.18/6.17 inference(unit_resolution,[status(thm)],[19568, 19506])).
% 8.18/6.17 tff(19570,plain,
% 8.18/6.17 ((~(v117(constB139) <=> (v118(constB139) | v121(constB139)))) | v117(constB139) | (~(v118(constB139) | v121(constB139)))),
% 8.18/6.17 inference(tautology,[status(thm)],[])).
% 8.18/6.17 tff(19571,plain,
% 8.18/6.17 (v117(constB139)),
% 8.18/6.17 inference(unit_resolution,[status(thm)],[19570, 19569, 19567])).
% 8.18/6.17 tff(19572,plain,
% 8.18/6.17 ((v117(constB139) | v122(constB139)) | (~v117(constB139))),
% 8.18/6.17 inference(tautology,[status(thm)],[])).
% 8.18/6.17 tff(19573,plain,
% 8.18/6.17 (v117(constB139) | v122(constB139)),
% 8.18/6.17 inference(unit_resolution,[status(thm)],[19572, 19571])).
% 8.18/6.17 tff(19574,plain,
% 8.18/6.17 ((~(v116(constB139) <=> (v117(constB139) | v122(constB139)))) | v116(constB139) | (~(v117(constB139) | v122(constB139)))),
% 8.18/6.17 inference(tautology,[status(thm)],[])).
% 8.18/6.17 tff(19575,plain,
% 8.18/6.17 (v116(constB139)),
% 8.18/6.17 inference(unit_resolution,[status(thm)],[19574, 19573, 19565])).
% 8.18/6.17 tff(19576,plain,
% 8.18/6.17 ((v116(constB139) | v123(constB139)) | (~v116(constB139))),
% 8.18/6.17 inference(tautology,[status(thm)],[])).
% 8.18/6.17 tff(19577,plain,
% 8.18/6.17 (v116(constB139) | v123(constB139)),
% 8.18/6.17 inference(unit_resolution,[status(thm)],[19576, 19575])).
% 8.18/6.17 tff(19578,plain,
% 8.18/6.17 ((~(v115(constB139) <=> (v116(constB139) | v123(constB139)))) | v115(constB139) | (~(v116(constB139) | v123(constB139)))),
% 8.18/6.17 inference(tautology,[status(thm)],[])).
% 8.18/6.17 tff(19579,plain,
% 8.18/6.17 (v115(constB139)),
% 8.18/6.17 inference(unit_resolution,[status(thm)],[19578, 19577, 19563])).
% 8.18/6.17 tff(19580,plain,
% 8.18/6.17 ((v115(constB139) | v124(constB139)) | (~v115(constB139))),
% 8.18/6.17 inference(tautology,[status(thm)],[])).
% 8.18/6.17 tff(19581,plain,
% 8.18/6.17 (v115(constB139) | v124(constB139)),
% 8.18/6.17 inference(unit_resolution,[status(thm)],[19580, 19579])).
% 8.18/6.17 tff(19582,plain,
% 8.18/6.17 ((~(v114(constB139) <=> (v115(constB139) | v124(constB139)))) | v114(constB139) | (~(v115(constB139) | v124(constB139)))),
% 8.18/6.17 inference(tautology,[status(thm)],[])).
% 8.18/6.17 tff(19583,plain,
% 8.18/6.17 (v114(constB139)),
% 8.18/6.17 inference(unit_resolution,[status(thm)],[19582, 19581, 19561])).
% 8.18/6.17 tff(19584,plain,
% 8.18/6.17 ((v114(constB139) | v125(constB139)) | (~v114(constB139))),
% 8.18/6.17 inference(tautology,[status(thm)],[])).
% 8.18/6.17 tff(19585,plain,
% 8.18/6.17 (v114(constB139) | v125(constB139)),
% 8.18/6.17 inference(unit_resolution,[status(thm)],[19584, 19583])).
% 8.18/6.17 tff(19586,plain,
% 8.18/6.17 ((~(v113(constB139) <=> (v114(constB139) | v125(constB139)))) | v113(constB139) | (~(v114(constB139) | v125(constB139)))),
% 8.18/6.17 inference(tautology,[status(thm)],[])).
% 8.18/6.17 tff(19587,plain,
% 8.18/6.17 (v113(constB139)),
% 8.18/6.17 inference(unit_resolution,[status(thm)],[19586, 19585, 19559])).
% 8.18/6.17 tff(19588,plain,
% 8.18/6.17 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB139)) <=> v111(constB139))),
% 8.18/6.17 inference(quant_inst,[status(thm)],[])).
% 8.18/6.17 tff(19589,plain,
% 8.18/6.17 ((~v126(constB139)) <=> v111(constB139)),
% 8.18/6.17 inference(unit_resolution,[status(thm)],[19588, 3396])).
% 8.18/6.17 tff(19590,plain,
% 8.18/6.17 ((~((~v126(constB139)) <=> v111(constB139))) | v126(constB139) | v111(constB139)),
% 8.18/6.17 inference(tautology,[status(thm)],[])).
% 8.18/6.17 tff(19591,plain,
% 8.18/6.17 ((~((~v126(constB139)) <=> v111(constB139))) | v126(constB139)),
% 8.18/6.17 inference(unit_resolution,[status(thm)],[19590, 16782])).
% 8.18/6.17 tff(19592,plain,
% 8.18/6.17 (v126(constB139)),
% 8.18/6.17 inference(unit_resolution,[status(thm)],[19591, 19589])).
% 8.18/6.17 tff(19593,plain,
% 8.18/6.17 ((~((~v113(constB139)) | (~v126(constB139)))) | (~v113(constB139)) | (~v126(constB139))),
% 8.18/6.17 inference(tautology,[status(thm)],[])).
% 8.18/6.17 tff(19594,plain,
% 8.18/6.17 ((~((~v113(constB139)) | (~v126(constB139)))) | (~v113(constB139))),
% 8.18/6.17 inference(unit_resolution,[status(thm)],[19593, 19592])).
% 8.18/6.17 tff(19595,plain,
% 8.18/6.17 (~((~v113(constB139)) | (~v126(constB139)))),
% 8.18/6.17 inference(unit_resolution,[status(thm)],[19594, 19587])).
% 8.18/6.17 tff(19596,plain,
% 8.18/6.17 ((~(v112(constB139) <=> (~((~v113(constB139)) | (~v126(constB139)))))) | v112(constB139) | ((~v113(constB139)) | (~v126(constB139)))),
% 8.18/6.17 inference(tautology,[status(thm)],[])).
% 8.18/6.17 tff(19597,plain,
% 8.18/6.17 (v112(constB139)),
% 8.18/6.17 inference(unit_resolution,[status(thm)],[19596, 19595, 19557])).
% 8.18/6.17 tff(19598,plain,
% 8.18/6.17 ((v111(constB139) | v112(constB139)) | (~v112(constB139))),
% 8.18/6.17 inference(tautology,[status(thm)],[])).
% 8.18/6.17 tff(19599,plain,
% 8.18/6.17 (v111(constB139) | v112(constB139)),
% 8.18/6.17 inference(unit_resolution,[status(thm)],[19598, 19597])).
% 8.18/6.17 tff(19600,plain,
% 8.18/6.17 ((~(v108(constB139) <=> (v111(constB139) | v112(constB139)))) | v108(constB139) | (~(v111(constB139) | v112(constB139)))),
% 8.18/6.17 inference(tautology,[status(thm)],[])).
% 8.18/6.17 tff(19601,plain,
% 8.18/6.17 (v108(constB139)),
% 8.18/6.17 inference(unit_resolution,[status(thm)],[19600, 19599, 19555])).
% 8.18/6.17 tff(19602,plain,
% 8.18/6.17 ((~(v110(constB140) <=> v108(constB139))) | v110(constB140) | (~v108(constB139))),
% 8.18/6.17 inference(tautology,[status(thm)],[])).
% 8.18/6.17 tff(19603,plain,
% 8.18/6.17 (v110(constB140)),
% 8.18/6.17 inference(unit_resolution,[status(thm)],[19602, 19601, 19553])).
% 8.18/6.17 tff(19604,plain,
% 8.18/6.17 ((~((~v101(constB140)) | (~v110(constB140)))) | (~v101(constB140)) | (~v110(constB140))),
% 8.18/6.17 inference(tautology,[status(thm)],[])).
% 8.18/6.17 tff(19605,plain,
% 8.18/6.17 (~((~v101(constB140)) | (~v110(constB140)))),
% 8.18/6.17 inference(unit_resolution,[status(thm)],[19604, 19603, 19549])).
% 8.18/6.17 tff(19606,plain,
% 8.18/6.17 ((~(v100(constB140) <=> (~((~v101(constB140)) | (~v110(constB140)))))) | v100(constB140) | ((~v101(constB140)) | (~v110(constB140)))),
% 8.18/6.17 inference(tautology,[status(thm)],[])).
% 8.18/6.17 tff(19607,plain,
% 8.18/6.17 (v100(constB140)),
% 8.18/6.17 inference(unit_resolution,[status(thm)],[19606, 19605, 19521])).
% 8.18/6.17 tff(19608,plain,
% 8.18/6.17 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB140)) | (~(((~v90(constB140, bitIndex2)) <=> v129(constB140, bitIndex2)) | ((~v90(constB140, bitIndex1)) <=> v129(constB140, bitIndex1)) | ((~v90(constB140, bitIndex0)) <=> v129(constB140, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB140)) | (~(((~v90(constB140, bitIndex2)) <=> v129(constB140, bitIndex2)) | ((~v90(constB140, bitIndex1)) <=> v129(constB140, bitIndex1)) | ((~v90(constB140, bitIndex0)) <=> v129(constB140, bitIndex0)))))),
% 8.18/6.17 inference(rewrite,[status(thm)],[])).
% 8.18/6.17 tff(19609,plain,
% 8.18/6.17 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB140)) | (~(((~v90(constB140, bitIndex2)) <=> v129(constB140, bitIndex2)) | ((~v90(constB140, bitIndex1)) <=> v129(constB140, bitIndex1)) | ((~v90(constB140, bitIndex0)) <=> v129(constB140, bitIndex0)))))),
% 8.18/6.17 inference(quant_inst,[status(thm)],[])).
% 8.18/6.17 tff(19610,plain,
% 8.18/6.17 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB140)) | (~(((~v90(constB140, bitIndex2)) <=> v129(constB140, bitIndex2)) | ((~v90(constB140, bitIndex1)) <=> v129(constB140, bitIndex1)) | ((~v90(constB140, bitIndex0)) <=> v129(constB140, bitIndex0))))),
% 8.18/6.17 inference(modus_ponens,[status(thm)],[19609, 19608])).
% 8.18/6.17 tff(19611,plain,
% 8.18/6.17 ((~v100(constB140)) | (~(((~v90(constB140, bitIndex2)) <=> v129(constB140, bitIndex2)) | ((~v90(constB140, bitIndex1)) <=> v129(constB140, bitIndex1)) | ((~v90(constB140, bitIndex0)) <=> v129(constB140, bitIndex0))))),
% 8.18/6.17 inference(unit_resolution,[status(thm)],[19610, 3429])).
% 8.18/6.17 tff(19612,plain,
% 8.18/6.17 (~(((~v90(constB140, bitIndex2)) <=> v129(constB140, bitIndex2)) | ((~v90(constB140, bitIndex1)) <=> v129(constB140, bitIndex1)) | ((~v90(constB140, bitIndex0)) <=> v129(constB140, bitIndex0)))),
% 8.18/6.17 inference(unit_resolution,[status(thm)],[19611, 19607])).
% 8.18/6.17 tff(19613,plain,
% 8.18/6.17 ((((~v90(constB140, bitIndex2)) <=> v129(constB140, bitIndex2)) | ((~v90(constB140, bitIndex1)) <=> v129(constB140, bitIndex1)) | ((~v90(constB140, bitIndex0)) <=> v129(constB140, bitIndex0))) | (~((~v90(constB140, bitIndex2)) <=> v129(constB140, bitIndex2)))),
% 8.18/6.17 inference(tautology,[status(thm)],[])).
% 8.18/6.17 tff(19614,plain,
% 8.18/6.17 (~((~v90(constB140, bitIndex2)) <=> v129(constB140, bitIndex2))),
% 8.18/6.17 inference(unit_resolution,[status(thm)],[19613, 19612])).
% 8.18/6.18 tff(19615,plain,
% 8.18/6.18 (((~v90(constB140, bitIndex2)) <=> v129(constB140, bitIndex2)) | (~v90(constB140, bitIndex2)) | v129(constB140, bitIndex2)),
% 8.18/6.18 inference(tautology,[status(thm)],[])).
% 8.18/6.18 tff(19616,plain,
% 8.18/6.18 (~v90(constB140, bitIndex2)),
% 8.18/6.18 inference(unit_resolution,[status(thm)],[19615, 19614, 19517])).
% 8.18/6.18 tff(19617,plain,
% 8.18/6.18 (((~v90(constB141, bitIndex2)) <=> v90(constB140, bitIndex2)) | (~v90(constB141, bitIndex2)) | v90(constB140, bitIndex2)),
% 8.18/6.18 inference(tautology,[status(thm)],[])).
% 8.18/6.18 tff(19618,plain,
% 8.18/6.18 (~v90(constB141, bitIndex2)),
% 8.18/6.18 inference(unit_resolution,[status(thm)],[19617, 19616, 16766])).
% 8.18/6.18 tff(19619,plain,
% 8.18/6.18 ((((~v90(constB141, bitIndex1)) <=> v90(constB140, bitIndex1)) | ((~v90(constB141, bitIndex2)) <=> v90(constB140, bitIndex2)) | ((~v90(constB141, bitIndex0)) <=> v90(constB140, bitIndex0))) | (~((~v90(constB141, bitIndex0)) <=> v90(constB140, bitIndex0)))),
% 8.18/6.18 inference(tautology,[status(thm)],[])).
% 8.18/6.18 tff(19620,plain,
% 8.18/6.18 (~((~v90(constB141, bitIndex0)) <=> v90(constB140, bitIndex0))),
% 8.18/6.18 inference(unit_resolution,[status(thm)],[19619, 16764])).
% 8.18/6.18 tff(19621,plain,
% 8.18/6.18 ((((~v129(constB140, bitIndex2)) <=> v127(constB139, bitIndex2)) | ((~v129(constB140, bitIndex1)) <=> v127(constB139, bitIndex1)) | ((~v129(constB140, bitIndex0)) <=> v127(constB139, bitIndex0))) | (~((~v129(constB140, bitIndex0)) <=> v127(constB139, bitIndex0)))),
% 8.18/6.18 inference(tautology,[status(thm)],[])).
% 8.18/6.18 tff(19622,plain,
% 8.18/6.18 (~((~v129(constB140, bitIndex0)) <=> v127(constB139, bitIndex0))),
% 8.18/6.18 inference(unit_resolution,[status(thm)],[19621, 16773])).
% 8.18/6.18 tff(19623,plain,
% 8.18/6.18 ((((~v127(constB139, bitIndex2)) <=> v130(constB139, bitIndex2)) | ((~v127(constB139, bitIndex1)) <=> v130(constB139, bitIndex1)) | ((~v127(constB139, bitIndex0)) <=> v130(constB139, bitIndex0))) | (~((~v127(constB139, bitIndex0)) <=> v130(constB139, bitIndex0)))),
% 8.18/6.18 inference(tautology,[status(thm)],[])).
% 8.18/6.18 tff(19624,plain,
% 8.18/6.18 (~((~v127(constB139, bitIndex0)) <=> v130(constB139, bitIndex0))),
% 8.18/6.18 inference(unit_resolution,[status(thm)],[19623, 16787])).
% 8.18/6.18 tff(19625,plain,
% 8.18/6.18 ((v130(constB139, bitIndex2) | (~v130(constB139, bitIndex1)) | (~v130(constB139, bitIndex0))) | v130(constB139, bitIndex0)),
% 8.18/6.18 inference(tautology,[status(thm)],[])).
% 8.18/6.18 tff(19626,plain,
% 8.18/6.18 (v130(constB139, bitIndex0)),
% 8.18/6.18 inference(unit_resolution,[status(thm)],[19625, 19511])).
% 8.18/6.18 tff(19627,plain,
% 8.18/6.18 (((~v127(constB139, bitIndex0)) <=> v130(constB139, bitIndex0)) | v127(constB139, bitIndex0) | (~v130(constB139, bitIndex0))),
% 8.18/6.18 inference(tautology,[status(thm)],[])).
% 8.18/6.18 tff(19628,plain,
% 8.18/6.18 (v127(constB139, bitIndex0)),
% 8.18/6.18 inference(unit_resolution,[status(thm)],[19627, 19626, 19624])).
% 8.18/6.18 tff(19629,plain,
% 8.18/6.18 (((~v129(constB140, bitIndex0)) <=> v127(constB139, bitIndex0)) | v129(constB140, bitIndex0) | (~v127(constB139, bitIndex0))),
% 8.18/6.18 inference(tautology,[status(thm)],[])).
% 8.18/6.18 tff(19630,plain,
% 8.18/6.18 (v129(constB140, bitIndex0)),
% 8.18/6.18 inference(unit_resolution,[status(thm)],[19629, 19628, 19622])).
% 8.18/6.18 tff(19631,plain,
% 8.18/6.18 ((((~v90(constB140, bitIndex2)) <=> v129(constB140, bitIndex2)) | ((~v90(constB140, bitIndex1)) <=> v129(constB140, bitIndex1)) | ((~v90(constB140, bitIndex0)) <=> v129(constB140, bitIndex0))) | (~((~v90(constB140, bitIndex0)) <=> v129(constB140, bitIndex0)))),
% 8.18/6.18 inference(tautology,[status(thm)],[])).
% 8.18/6.18 tff(19632,plain,
% 8.18/6.18 (~((~v90(constB140, bitIndex0)) <=> v129(constB140, bitIndex0))),
% 8.18/6.18 inference(unit_resolution,[status(thm)],[19631, 19612])).
% 8.18/6.18 tff(19633,plain,
% 8.18/6.18 (((~v90(constB140, bitIndex0)) <=> v129(constB140, bitIndex0)) | v90(constB140, bitIndex0) | (~v129(constB140, bitIndex0))),
% 8.18/6.18 inference(tautology,[status(thm)],[])).
% 8.18/6.18 tff(19634,plain,
% 8.18/6.18 (v90(constB140, bitIndex0)),
% 8.18/6.18 inference(unit_resolution,[status(thm)],[19633, 19632, 19630])).
% 8.18/6.18 tff(19635,plain,
% 8.18/6.18 (((~v90(constB141, bitIndex0)) <=> v90(constB140, bitIndex0)) | v90(constB141, bitIndex0) | (~v90(constB140, bitIndex0))),
% 8.18/6.18 inference(tautology,[status(thm)],[])).
% 8.18/6.18 tff(19636,plain,
% 8.18/6.18 (v90(constB141, bitIndex0)),
% 8.18/6.18 inference(unit_resolution,[status(thm)],[19635, 19634, 19620])).
% 8.18/6.18 tff(19637,plain,
% 8.18/6.18 ((((~v90(constB141, bitIndex1)) <=> v90(constB140, bitIndex1)) | ((~v90(constB141, bitIndex2)) <=> v90(constB140, bitIndex2)) | ((~v90(constB141, bitIndex0)) <=> v90(constB140, bitIndex0))) | (~((~v90(constB141, bitIndex1)) <=> v90(constB140, bitIndex1)))),
% 8.18/6.18 inference(tautology,[status(thm)],[])).
% 8.18/6.18 tff(19638,plain,
% 8.18/6.18 (~((~v90(constB141, bitIndex1)) <=> v90(constB140, bitIndex1))),
% 8.18/6.18 inference(unit_resolution,[status(thm)],[19637, 16764])).
% 8.18/6.18 tff(19639,plain,
% 8.18/6.18 ((((~v129(constB140, bitIndex2)) <=> v127(constB139, bitIndex2)) | ((~v129(constB140, bitIndex1)) <=> v127(constB139, bitIndex1)) | ((~v129(constB140, bitIndex0)) <=> v127(constB139, bitIndex0))) | (~((~v129(constB140, bitIndex1)) <=> v127(constB139, bitIndex1)))),
% 8.18/6.18 inference(tautology,[status(thm)],[])).
% 8.18/6.18 tff(19640,plain,
% 8.18/6.18 (~((~v129(constB140, bitIndex1)) <=> v127(constB139, bitIndex1))),
% 8.18/6.18 inference(unit_resolution,[status(thm)],[19639, 16773])).
% 8.18/6.18 tff(19641,plain,
% 8.18/6.18 ((((~v127(constB139, bitIndex2)) <=> v130(constB139, bitIndex2)) | ((~v127(constB139, bitIndex1)) <=> v130(constB139, bitIndex1)) | ((~v127(constB139, bitIndex0)) <=> v130(constB139, bitIndex0))) | (~((~v127(constB139, bitIndex1)) <=> v130(constB139, bitIndex1)))),
% 8.18/6.18 inference(tautology,[status(thm)],[])).
% 8.18/6.18 tff(19642,plain,
% 8.18/6.18 (~((~v127(constB139, bitIndex1)) <=> v130(constB139, bitIndex1))),
% 8.18/6.18 inference(unit_resolution,[status(thm)],[19641, 16787])).
% 8.18/6.18 tff(19643,plain,
% 8.18/6.18 ((v130(constB139, bitIndex2) | (~v130(constB139, bitIndex1)) | (~v130(constB139, bitIndex0))) | v130(constB139, bitIndex1)),
% 8.18/6.18 inference(tautology,[status(thm)],[])).
% 8.18/6.18 tff(19644,plain,
% 8.18/6.18 (v130(constB139, bitIndex1)),
% 8.18/6.18 inference(unit_resolution,[status(thm)],[19643, 19511])).
% 8.18/6.18 tff(19645,plain,
% 8.18/6.18 (((~v127(constB139, bitIndex1)) <=> v130(constB139, bitIndex1)) | v127(constB139, bitIndex1) | (~v130(constB139, bitIndex1))),
% 8.18/6.18 inference(tautology,[status(thm)],[])).
% 8.18/6.18 tff(19646,plain,
% 8.18/6.18 (v127(constB139, bitIndex1)),
% 8.18/6.18 inference(unit_resolution,[status(thm)],[19645, 19644, 19642])).
% 8.18/6.18 tff(19647,plain,
% 8.18/6.18 (((~v129(constB140, bitIndex1)) <=> v127(constB139, bitIndex1)) | v129(constB140, bitIndex1) | (~v127(constB139, bitIndex1))),
% 8.18/6.18 inference(tautology,[status(thm)],[])).
% 8.18/6.18 tff(19648,plain,
% 8.18/6.18 (v129(constB140, bitIndex1)),
% 8.18/6.18 inference(unit_resolution,[status(thm)],[19647, 19646, 19640])).
% 8.18/6.18 tff(19649,plain,
% 8.18/6.18 ((((~v90(constB140, bitIndex2)) <=> v129(constB140, bitIndex2)) | ((~v90(constB140, bitIndex1)) <=> v129(constB140, bitIndex1)) | ((~v90(constB140, bitIndex0)) <=> v129(constB140, bitIndex0))) | (~((~v90(constB140, bitIndex1)) <=> v129(constB140, bitIndex1)))),
% 8.18/6.18 inference(tautology,[status(thm)],[])).
% 8.18/6.18 tff(19650,plain,
% 8.18/6.18 (~((~v90(constB140, bitIndex1)) <=> v129(constB140, bitIndex1))),
% 8.18/6.18 inference(unit_resolution,[status(thm)],[19649, 19612])).
% 8.18/6.18 tff(19651,plain,
% 8.18/6.18 (((~v90(constB140, bitIndex1)) <=> v129(constB140, bitIndex1)) | v90(constB140, bitIndex1) | (~v129(constB140, bitIndex1))),
% 8.18/6.18 inference(tautology,[status(thm)],[])).
% 8.18/6.18 tff(19652,plain,
% 8.18/6.18 (v90(constB140, bitIndex1)),
% 8.18/6.18 inference(unit_resolution,[status(thm)],[19651, 19650, 19648])).
% 8.18/6.18 tff(19653,plain,
% 8.18/6.18 (((~v90(constB141, bitIndex1)) <=> v90(constB140, bitIndex1)) | v90(constB141, bitIndex1) | (~v90(constB140, bitIndex1))),
% 8.18/6.18 inference(tautology,[status(thm)],[])).
% 8.18/6.18 tff(19654,plain,
% 8.18/6.18 (v90(constB141, bitIndex1)),
% 8.18/6.18 inference(unit_resolution,[status(thm)],[19653, 19652, 19638])).
% 8.18/6.18 tff(19655,plain,
% 8.18/6.18 ((~(v90(constB141, bitIndex2) | (~v90(constB141, bitIndex1)) | (~v90(constB141, bitIndex0)))) | v90(constB141, bitIndex2) | (~v90(constB141, bitIndex1)) | (~v90(constB141, bitIndex0))),
% 8.18/6.18 inference(tautology,[status(thm)],[])).
% 8.18/6.18 tff(19656,plain,
% 8.18/6.18 (~(v90(constB141, bitIndex2) | (~v90(constB141, bitIndex1)) | (~v90(constB141, bitIndex0)))),
% 8.18/6.18 inference(unit_resolution,[status(thm)],[19655, 19654, 19636, 19618])).
% 8.18/6.18 tff(19657,plain,
% 8.18/6.18 ((~(v122(constB141) <=> (~(v90(constB141, bitIndex2) | (~v90(constB141, bitIndex1)) | (~v90(constB141, bitIndex0)))))) | v122(constB141) | (v90(constB141, bitIndex2) | (~v90(constB141, bitIndex1)) | (~v90(constB141, bitIndex0)))),
% 8.18/6.18 inference(tautology,[status(thm)],[])).
% 8.18/6.18 tff(19658,plain,
% 8.18/6.18 (v122(constB141)),
% 8.18/6.18 inference(unit_resolution,[status(thm)],[19657, 19656, 16730])).
% 8.18/6.18 tff(19659,plain,
% 8.18/6.18 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB141)) | (~(v130(constB141, bitIndex1) | v130(constB141, bitIndex0) | (~v130(constB141, bitIndex2)))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | (~v122(constB141)) | (~(v130(constB141, bitIndex1) | v130(constB141, bitIndex0) | (~v130(constB141, bitIndex2)))))),
% 8.18/6.18 inference(rewrite,[status(thm)],[])).
% 8.18/6.18 tff(19660,plain,
% 8.18/6.18 (((~v122(constB141)) | (~(v130(constB141, bitIndex0) | v130(constB141, bitIndex1) | (~v130(constB141, bitIndex2))))) <=> ((~v122(constB141)) | (~(v130(constB141, bitIndex1) | v130(constB141, bitIndex0) | (~v130(constB141, bitIndex2)))))),
% 8.18/6.18 inference(rewrite,[status(thm)],[])).
% 8.18/6.18 tff(19661,plain,
% 8.18/6.18 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB141)) | (~(v130(constB141, bitIndex0) | v130(constB141, bitIndex1) | (~v130(constB141, bitIndex2)))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB141)) | (~(v130(constB141, bitIndex1) | v130(constB141, bitIndex0) | (~v130(constB141, bitIndex2))))))),
% 8.18/6.18 inference(monotonicity,[status(thm)],[19660])).
% 8.18/6.18 tff(19662,plain,
% 8.18/6.18 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB141)) | (~(v130(constB141, bitIndex0) | v130(constB141, bitIndex1) | (~v130(constB141, bitIndex2)))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | (~v122(constB141)) | (~(v130(constB141, bitIndex1) | v130(constB141, bitIndex0) | (~v130(constB141, bitIndex2)))))),
% 8.18/6.18 inference(transitivity,[status(thm)],[19661, 19659])).
% 8.18/6.18 tff(19663,plain,
% 8.18/6.18 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB141)) | (~(v130(constB141, bitIndex0) | v130(constB141, bitIndex1) | (~v130(constB141, bitIndex2)))))),
% 8.18/6.18 inference(quant_inst,[status(thm)],[])).
% 8.18/6.18 tff(19664,plain,
% 8.18/6.18 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | (~v122(constB141)) | (~(v130(constB141, bitIndex1) | v130(constB141, bitIndex0) | (~v130(constB141, bitIndex2))))),
% 8.18/6.18 inference(modus_ponens,[status(thm)],[19663, 19662])).
% 8.18/6.18 tff(19665,plain,
% 8.18/6.18 ((~v122(constB141)) | (~(v130(constB141, bitIndex1) | v130(constB141, bitIndex0) | (~v130(constB141, bitIndex2))))),
% 8.18/6.18 inference(unit_resolution,[status(thm)],[19664, 4223])).
% 8.18/6.18 tff(19666,plain,
% 8.18/6.18 (~(v130(constB141, bitIndex1) | v130(constB141, bitIndex0) | (~v130(constB141, bitIndex2)))),
% 8.18/6.18 inference(unit_resolution,[status(thm)],[19665, 19658])).
% 8.18/6.18 tff(19667,plain,
% 8.18/6.18 ((v130(constB141, bitIndex1) | v130(constB141, bitIndex0) | (~v130(constB141, bitIndex2))) | v130(constB141, bitIndex2)),
% 8.18/6.18 inference(tautology,[status(thm)],[])).
% 8.18/6.18 tff(19668,plain,
% 8.18/6.18 (v130(constB141, bitIndex2)),
% 8.18/6.18 inference(unit_resolution,[status(thm)],[19667, 19666])).
% 8.18/6.18 tff(19669,plain,
% 8.18/6.18 (((~v127(constB141, bitIndex2)) <=> v130(constB141, bitIndex2)) | v127(constB141, bitIndex2) | (~v130(constB141, bitIndex2))),
% 8.18/6.18 inference(tautology,[status(thm)],[])).
% 8.18/6.18 tff(19670,plain,
% 8.18/6.18 (v127(constB141, bitIndex2)),
% 8.18/6.18 inference(unit_resolution,[status(thm)],[19669, 19668, 16723])).
% 8.18/6.18 tff(19671,plain,
% 8.18/6.18 (((~v129(constB142, bitIndex2)) <=> v127(constB141, bitIndex2)) | v129(constB142, bitIndex2) | (~v127(constB141, bitIndex2))),
% 8.18/6.18 inference(tautology,[status(thm)],[])).
% 8.18/6.18 tff(19672,plain,
% 8.18/6.18 (v129(constB142, bitIndex2)),
% 8.18/6.18 inference(unit_resolution,[status(thm)],[19671, 19670, 16709])).
% 8.18/6.18 tff(19673,plain,
% 8.18/6.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB141, constB142)) | (v100(constB142) <=> (~((~v101(constB142)) | (~v110(constB142))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB141, constB142)) | (v100(constB142) <=> (~((~v101(constB142)) | (~v110(constB142))))))),
% 8.18/6.18 inference(rewrite,[status(thm)],[])).
% 8.18/6.18 tff(19674,plain,
% 8.18/6.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB141, constB142)) | (v100(constB142) <=> (~((~v101(constB142)) | (~v110(constB142))))))),
% 8.18/6.18 inference(quant_inst,[status(thm)],[])).
% 8.18/6.18 tff(19675,plain,
% 8.18/6.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB141, constB142)) | (v100(constB142) <=> (~((~v101(constB142)) | (~v110(constB142)))))),
% 8.18/6.18 inference(modus_ponens,[status(thm)],[19674, 19673])).
% 8.18/6.18 tff(19676,plain,
% 8.18/6.18 (v100(constB142) <=> (~((~v101(constB142)) | (~v110(constB142))))),
% 8.18/6.18 inference(unit_resolution,[status(thm)],[19675, 16703, 445])).
% 8.18/6.18 tff(19677,plain,
% 8.18/6.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB141, constB142)) | (v101(constB142) <=> (~((~v1(constB142)) | (~v102(constB142))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB141, constB142)) | (v101(constB142) <=> (~((~v1(constB142)) | (~v102(constB142))))))),
% 8.18/6.18 inference(rewrite,[status(thm)],[])).
% 8.18/6.18 tff(19678,plain,
% 8.18/6.18 (((~nextState(constB141, constB142)) | (v101(constB142) <=> (~((~v102(constB142)) | (~v1(constB142)))))) <=> ((~nextState(constB141, constB142)) | (v101(constB142) <=> (~((~v1(constB142)) | (~v102(constB142))))))),
% 8.18/6.18 inference(rewrite,[status(thm)],[])).
% 8.18/6.18 tff(19679,plain,
% 8.18/6.18 (((~![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) <=> (~((~v1(constB142)) | (~v102(constB142)))))))),
% 8.18/6.18 inference(monotonicity,[status(thm)],[19678])).
% 8.18/6.18 tff(19680,plain,
% 8.18/6.18 (((~![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) <=> (~((~v1(constB142)) | (~v102(constB142))))))),
% 8.18/6.18 inference(transitivity,[status(thm)],[19679, 19677])).
% 8.18/6.18 tff(19681,plain,
% 8.18/6.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB141, constB142)) | (v101(constB142) <=> (~((~v102(constB142)) | (~v1(constB142))))))),
% 8.18/6.18 inference(quant_inst,[status(thm)],[])).
% 8.18/6.18 tff(19682,plain,
% 8.18/6.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB141, constB142)) | (v101(constB142) <=> (~((~v1(constB142)) | (~v102(constB142)))))),
% 8.18/6.18 inference(modus_ponens,[status(thm)],[19681, 19680])).
% 8.18/6.18 tff(19683,plain,
% 8.18/6.18 (v101(constB142) <=> (~((~v1(constB142)) | (~v102(constB142))))),
% 8.18/6.18 inference(unit_resolution,[status(thm)],[19682, 16703, 465])).
% 8.18/6.18 tff(19684,plain,
% 8.18/6.18 (((~![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)))),
% 8.18/6.18 inference(rewrite,[status(thm)],[])).
% 8.18/6.18 tff(19685,plain,
% 8.18/6.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB141, constB142)) | ((~v102(constB142)) <=> v104(constB142)))),
% 8.18/6.18 inference(quant_inst,[status(thm)],[])).
% 8.18/6.18 tff(19686,plain,
% 8.18/6.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB141, constB142)) | ((~v102(constB142)) <=> v104(constB142))),
% 8.18/6.18 inference(modus_ponens,[status(thm)],[19685, 19684])).
% 8.18/6.18 tff(19687,plain,
% 8.18/6.18 ((~v102(constB142)) <=> v104(constB142)),
% 8.18/6.18 inference(unit_resolution,[status(thm)],[19686, 16703, 3244])).
% 8.18/6.18 tff(19688,plain,
% 8.18/6.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB141, constB142)) | (v104(constB142) <=> v1(constB141)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB141, constB142)) | (v104(constB142) <=> v1(constB141)))),
% 8.18/6.18 inference(rewrite,[status(thm)],[])).
% 8.18/6.18 tff(19689,plain,
% 8.18/6.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB141, constB142)) | (v104(constB142) <=> v1(constB141)))),
% 8.18/6.18 inference(quant_inst,[status(thm)],[])).
% 8.18/6.18 tff(19690,plain,
% 8.18/6.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB141, constB142)) | (v104(constB142) <=> v1(constB141))),
% 8.18/6.18 inference(modus_ponens,[status(thm)],[19689, 19688])).
% 8.18/6.18 tff(19691,plain,
% 8.18/6.18 (v104(constB142) <=> v1(constB141)),
% 8.18/6.18 inference(unit_resolution,[status(thm)],[19690, 16703, 3258])).
% 8.18/6.18 tff(19692,plain,
% 8.18/6.18 ((~(v104(constB142) <=> v1(constB141))) | (~v104(constB142)) | v1(constB141)),
% 8.18/6.18 inference(tautology,[status(thm)],[])).
% 8.18/6.18 tff(19693,plain,
% 8.18/6.18 ((~(v104(constB142) <=> v1(constB141))) | (~v104(constB142))),
% 8.18/6.18 inference(unit_resolution,[status(thm)],[19692, 16747])).
% 8.18/6.18 tff(19694,plain,
% 8.18/6.18 (~v104(constB142)),
% 8.18/6.18 inference(unit_resolution,[status(thm)],[19693, 19691])).
% 8.18/6.18 tff(19695,plain,
% 8.18/6.18 ((~((~v102(constB142)) <=> v104(constB142))) | v102(constB142) | v104(constB142)),
% 8.18/6.18 inference(tautology,[status(thm)],[])).
% 8.18/6.18 tff(19696,plain,
% 8.18/6.18 (v102(constB142)),
% 8.18/6.18 inference(unit_resolution,[status(thm)],[19695, 19694, 19687])).
% 8.18/6.18 tff(19697,plain,
% 8.18/6.18 (v1(constB142) <=> v1(constB142)),
% 8.18/6.18 inference(rewrite,[status(thm)],[])).
% 8.18/6.18 tff(19698,axiom,(v1(constB142)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_142')).
% 8.18/6.18 tff(19699,plain,
% 8.18/6.18 (v1(constB142)),
% 8.18/6.18 inference(modus_ponens,[status(thm)],[19698, 19697])).
% 8.18/6.18 tff(19700,plain,
% 8.18/6.18 ((~((~v1(constB142)) | (~v102(constB142)))) | (~v1(constB142)) | (~v102(constB142))),
% 8.18/6.18 inference(tautology,[status(thm)],[])).
% 8.18/6.18 tff(19701,plain,
% 8.18/6.18 ((~((~v1(constB142)) | (~v102(constB142)))) | (~v102(constB142))),
% 8.18/6.18 inference(unit_resolution,[status(thm)],[19700, 19699])).
% 8.18/6.18 tff(19702,plain,
% 8.18/6.18 (~((~v1(constB142)) | (~v102(constB142)))),
% 8.18/6.18 inference(unit_resolution,[status(thm)],[19701, 19696])).
% 8.18/6.18 tff(19703,plain,
% 8.18/6.18 ((~(v101(constB142) <=> (~((~v1(constB142)) | (~v102(constB142)))))) | v101(constB142) | ((~v1(constB142)) | (~v102(constB142)))),
% 8.18/6.18 inference(tautology,[status(thm)],[])).
% 8.18/6.18 tff(19704,plain,
% 8.18/6.18 (v101(constB142)),
% 8.18/6.18 inference(unit_resolution,[status(thm)],[19703, 19702, 19683])).
% 8.18/6.18 tff(19705,plain,
% 8.18/6.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB141, constB142)) | (v110(constB142) <=> v108(constB141)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB141, constB142)) | (v110(constB142) <=> v108(constB141)))),
% 8.27/6.18 inference(rewrite,[status(thm)],[])).
% 8.27/6.18 tff(19706,plain,
% 8.27/6.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB141, constB142)) | (v110(constB142) <=> v108(constB141)))),
% 8.27/6.18 inference(quant_inst,[status(thm)],[])).
% 8.27/6.18 tff(19707,plain,
% 8.27/6.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB141, constB142)) | (v110(constB142) <=> v108(constB141))),
% 8.27/6.18 inference(modus_ponens,[status(thm)],[19706, 19705])).
% 8.27/6.18 tff(19708,plain,
% 8.27/6.18 (v110(constB142) <=> v108(constB141)),
% 8.27/6.18 inference(unit_resolution,[status(thm)],[19707, 16703, 3285])).
% 8.27/6.18 tff(19709,plain,
% 8.27/6.18 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB141) <=> (v111(constB141) | v112(constB141)))),
% 8.27/6.18 inference(quant_inst,[status(thm)],[])).
% 8.27/6.18 tff(19710,plain,
% 8.27/6.18 (v108(constB141) <=> (v111(constB141) | v112(constB141))),
% 8.27/6.18 inference(unit_resolution,[status(thm)],[19709, 3296])).
% 8.27/6.18 tff(19711,plain,
% 8.27/6.18 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB141) <=> (~((~v113(constB141)) | (~v126(constB141)))))),
% 8.27/6.18 inference(quant_inst,[status(thm)],[])).
% 8.27/6.18 tff(19712,plain,
% 8.27/6.18 (v112(constB141) <=> (~((~v113(constB141)) | (~v126(constB141))))),
% 8.27/6.18 inference(unit_resolution,[status(thm)],[19711, 3308])).
% 8.27/6.18 tff(19713,plain,
% 8.27/6.18 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB141) <=> (v114(constB141) | v125(constB141)))),
% 8.27/6.18 inference(quant_inst,[status(thm)],[])).
% 8.27/6.18 tff(19714,plain,
% 8.27/6.18 (v113(constB141) <=> (v114(constB141) | v125(constB141))),
% 8.27/6.18 inference(unit_resolution,[status(thm)],[19713, 3317])).
% 8.27/6.18 tff(19715,plain,
% 8.27/6.18 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB141) <=> (v115(constB141) | v124(constB141)))),
% 8.27/6.18 inference(quant_inst,[status(thm)],[])).
% 8.27/6.18 tff(19716,plain,
% 8.27/6.18 (v114(constB141) <=> (v115(constB141) | v124(constB141))),
% 8.27/6.18 inference(unit_resolution,[status(thm)],[19715, 3326])).
% 8.27/6.18 tff(19717,plain,
% 8.27/6.18 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB141) <=> (v116(constB141) | v123(constB141)))),
% 8.27/6.18 inference(quant_inst,[status(thm)],[])).
% 8.27/6.18 tff(19718,plain,
% 8.27/6.18 (v115(constB141) <=> (v116(constB141) | v123(constB141))),
% 8.27/6.18 inference(unit_resolution,[status(thm)],[19717, 3335])).
% 8.27/6.18 tff(19719,plain,
% 8.27/6.18 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB141) <=> (v117(constB141) | v122(constB141)))),
% 8.27/6.18 inference(quant_inst,[status(thm)],[])).
% 8.27/6.18 tff(19720,plain,
% 8.27/6.18 (v116(constB141) <=> (v117(constB141) | v122(constB141))),
% 8.27/6.18 inference(unit_resolution,[status(thm)],[19719, 3344])).
% 8.27/6.18 tff(19721,plain,
% 8.27/6.18 ((v117(constB141) | v122(constB141)) | (~v122(constB141))),
% 8.27/6.18 inference(tautology,[status(thm)],[])).
% 8.27/6.18 tff(19722,plain,
% 8.27/6.18 (v117(constB141) | v122(constB141)),
% 8.27/6.18 inference(unit_resolution,[status(thm)],[19721, 19658])).
% 8.27/6.18 tff(19723,plain,
% 8.27/6.18 ((~(v116(constB141) <=> (v117(constB141) | v122(constB141)))) | v116(constB141) | (~(v117(constB141) | v122(constB141)))),
% 8.27/6.18 inference(tautology,[status(thm)],[])).
% 8.27/6.18 tff(19724,plain,
% 8.27/6.18 (v116(constB141)),
% 8.27/6.18 inference(unit_resolution,[status(thm)],[19723, 19722, 19720])).
% 8.27/6.18 tff(19725,plain,
% 8.27/6.18 ((v116(constB141) | v123(constB141)) | (~v116(constB141))),
% 8.27/6.18 inference(tautology,[status(thm)],[])).
% 8.27/6.18 tff(19726,plain,
% 8.27/6.18 (v116(constB141) | v123(constB141)),
% 8.27/6.18 inference(unit_resolution,[status(thm)],[19725, 19724])).
% 8.27/6.18 tff(19727,plain,
% 8.27/6.18 ((~(v115(constB141) <=> (v116(constB141) | v123(constB141)))) | v115(constB141) | (~(v116(constB141) | v123(constB141)))),
% 8.27/6.18 inference(tautology,[status(thm)],[])).
% 8.27/6.18 tff(19728,plain,
% 8.27/6.18 (v115(constB141)),
% 8.27/6.18 inference(unit_resolution,[status(thm)],[19727, 19726, 19718])).
% 8.27/6.18 tff(19729,plain,
% 8.27/6.18 ((v115(constB141) | v124(constB141)) | (~v115(constB141))),
% 8.27/6.18 inference(tautology,[status(thm)],[])).
% 8.27/6.18 tff(19730,plain,
% 8.27/6.18 (v115(constB141) | v124(constB141)),
% 8.27/6.18 inference(unit_resolution,[status(thm)],[19729, 19728])).
% 8.27/6.18 tff(19731,plain,
% 8.27/6.18 ((~(v114(constB141) <=> (v115(constB141) | v124(constB141)))) | v114(constB141) | (~(v115(constB141) | v124(constB141)))),
% 8.27/6.18 inference(tautology,[status(thm)],[])).
% 8.27/6.18 tff(19732,plain,
% 8.27/6.18 (v114(constB141)),
% 8.27/6.18 inference(unit_resolution,[status(thm)],[19731, 19730, 19716])).
% 8.27/6.18 tff(19733,plain,
% 8.27/6.18 ((v114(constB141) | v125(constB141)) | (~v114(constB141))),
% 8.27/6.18 inference(tautology,[status(thm)],[])).
% 8.27/6.18 tff(19734,plain,
% 8.27/6.18 (v114(constB141) | v125(constB141)),
% 8.27/6.18 inference(unit_resolution,[status(thm)],[19733, 19732])).
% 8.27/6.18 tff(19735,plain,
% 8.27/6.18 ((~(v113(constB141) <=> (v114(constB141) | v125(constB141)))) | v113(constB141) | (~(v114(constB141) | v125(constB141)))),
% 8.27/6.18 inference(tautology,[status(thm)],[])).
% 8.27/6.18 tff(19736,plain,
% 8.27/6.18 (v113(constB141)),
% 8.27/6.18 inference(unit_resolution,[status(thm)],[19735, 19734, 19714])).
% 8.27/6.18 tff(19737,plain,
% 8.27/6.18 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB141)) <=> v111(constB141))),
% 8.27/6.18 inference(quant_inst,[status(thm)],[])).
% 8.27/6.18 tff(19738,plain,
% 8.27/6.18 ((~v126(constB141)) <=> v111(constB141)),
% 8.27/6.18 inference(unit_resolution,[status(thm)],[19737, 3396])).
% 8.27/6.18 tff(19739,plain,
% 8.27/6.18 ((~((~v126(constB141)) <=> v111(constB141))) | v126(constB141) | v111(constB141)),
% 8.27/6.18 inference(tautology,[status(thm)],[])).
% 8.27/6.18 tff(19740,plain,
% 8.27/6.18 ((~((~v126(constB141)) <=> v111(constB141))) | v126(constB141)),
% 8.27/6.18 inference(unit_resolution,[status(thm)],[19739, 16716])).
% 8.27/6.18 tff(19741,plain,
% 8.27/6.18 (v126(constB141)),
% 8.27/6.18 inference(unit_resolution,[status(thm)],[19740, 19738])).
% 8.27/6.18 tff(19742,plain,
% 8.27/6.18 ((~((~v113(constB141)) | (~v126(constB141)))) | (~v113(constB141)) | (~v126(constB141))),
% 8.27/6.18 inference(tautology,[status(thm)],[])).
% 8.27/6.18 tff(19743,plain,
% 8.27/6.18 ((~((~v113(constB141)) | (~v126(constB141)))) | (~v113(constB141))),
% 8.27/6.18 inference(unit_resolution,[status(thm)],[19742, 19741])).
% 8.27/6.18 tff(19744,plain,
% 8.27/6.18 (~((~v113(constB141)) | (~v126(constB141)))),
% 8.27/6.18 inference(unit_resolution,[status(thm)],[19743, 19736])).
% 8.27/6.18 tff(19745,plain,
% 8.27/6.18 ((~(v112(constB141) <=> (~((~v113(constB141)) | (~v126(constB141)))))) | v112(constB141) | ((~v113(constB141)) | (~v126(constB141)))),
% 8.27/6.18 inference(tautology,[status(thm)],[])).
% 8.27/6.18 tff(19746,plain,
% 8.27/6.18 (v112(constB141)),
% 8.27/6.18 inference(unit_resolution,[status(thm)],[19745, 19744, 19712])).
% 8.27/6.18 tff(19747,plain,
% 8.27/6.18 ((v111(constB141) | v112(constB141)) | (~v112(constB141))),
% 8.27/6.18 inference(tautology,[status(thm)],[])).
% 8.27/6.18 tff(19748,plain,
% 8.27/6.18 (v111(constB141) | v112(constB141)),
% 8.27/6.18 inference(unit_resolution,[status(thm)],[19747, 19746])).
% 8.27/6.18 tff(19749,plain,
% 8.27/6.18 ((~(v108(constB141) <=> (v111(constB141) | v112(constB141)))) | v108(constB141) | (~(v111(constB141) | v112(constB141)))),
% 8.27/6.18 inference(tautology,[status(thm)],[])).
% 8.27/6.18 tff(19750,plain,
% 8.27/6.18 (v108(constB141)),
% 8.27/6.18 inference(unit_resolution,[status(thm)],[19749, 19748, 19710])).
% 8.27/6.18 tff(19751,plain,
% 8.27/6.18 ((~(v110(constB142) <=> v108(constB141))) | v110(constB142) | (~v108(constB141))),
% 8.27/6.18 inference(tautology,[status(thm)],[])).
% 8.27/6.18 tff(19752,plain,
% 8.27/6.18 (v110(constB142)),
% 8.27/6.18 inference(unit_resolution,[status(thm)],[19751, 19750, 19708])).
% 8.27/6.18 tff(19753,plain,
% 8.27/6.18 ((~((~v101(constB142)) | (~v110(constB142)))) | (~v101(constB142)) | (~v110(constB142))),
% 8.27/6.18 inference(tautology,[status(thm)],[])).
% 8.27/6.18 tff(19754,plain,
% 8.27/6.18 (~((~v101(constB142)) | (~v110(constB142)))),
% 8.27/6.18 inference(unit_resolution,[status(thm)],[19753, 19752, 19704])).
% 8.27/6.18 tff(19755,plain,
% 8.27/6.18 ((~(v100(constB142) <=> (~((~v101(constB142)) | (~v110(constB142)))))) | v100(constB142) | ((~v101(constB142)) | (~v110(constB142)))),
% 8.27/6.18 inference(tautology,[status(thm)],[])).
% 8.27/6.18 tff(19756,plain,
% 8.27/6.18 (v100(constB142)),
% 8.27/6.18 inference(unit_resolution,[status(thm)],[19755, 19754, 19676])).
% 8.27/6.18 tff(19757,plain,
% 8.27/6.18 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB142)) | (~(((~v90(constB142, bitIndex0)) <=> v129(constB142, bitIndex0)) | ((~v90(constB142, bitIndex2)) <=> v129(constB142, bitIndex2)) | ((~v90(constB142, bitIndex1)) <=> v129(constB142, bitIndex1)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB142)) | (~(((~v90(constB142, bitIndex0)) <=> v129(constB142, bitIndex0)) | ((~v90(constB142, bitIndex2)) <=> v129(constB142, bitIndex2)) | ((~v90(constB142, bitIndex1)) <=> v129(constB142, bitIndex1)))))),
% 8.27/6.18 inference(rewrite,[status(thm)],[])).
% 8.27/6.18 tff(19758,plain,
% 8.27/6.18 (((~v100(constB142)) | (~(((~v90(constB142, bitIndex2)) <=> v129(constB142, bitIndex2)) | ((~v90(constB142, bitIndex1)) <=> v129(constB142, bitIndex1)) | ((~v90(constB142, bitIndex0)) <=> v129(constB142, bitIndex0))))) <=> ((~v100(constB142)) | (~(((~v90(constB142, bitIndex0)) <=> v129(constB142, bitIndex0)) | ((~v90(constB142, bitIndex2)) <=> v129(constB142, bitIndex2)) | ((~v90(constB142, bitIndex1)) <=> v129(constB142, bitIndex1)))))),
% 8.27/6.18 inference(rewrite,[status(thm)],[])).
% 8.27/6.18 tff(19759,plain,
% 8.27/6.18 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB142)) | (~(((~v90(constB142, bitIndex2)) <=> v129(constB142, bitIndex2)) | ((~v90(constB142, bitIndex1)) <=> v129(constB142, bitIndex1)) | ((~v90(constB142, bitIndex0)) <=> v129(constB142, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB142)) | (~(((~v90(constB142, bitIndex0)) <=> v129(constB142, bitIndex0)) | ((~v90(constB142, bitIndex2)) <=> v129(constB142, bitIndex2)) | ((~v90(constB142, bitIndex1)) <=> v129(constB142, bitIndex1))))))),
% 8.27/6.18 inference(monotonicity,[status(thm)],[19758])).
% 8.27/6.18 tff(19760,plain,
% 8.27/6.18 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB142)) | (~(((~v90(constB142, bitIndex2)) <=> v129(constB142, bitIndex2)) | ((~v90(constB142, bitIndex1)) <=> v129(constB142, bitIndex1)) | ((~v90(constB142, bitIndex0)) <=> v129(constB142, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB142)) | (~(((~v90(constB142, bitIndex0)) <=> v129(constB142, bitIndex0)) | ((~v90(constB142, bitIndex2)) <=> v129(constB142, bitIndex2)) | ((~v90(constB142, bitIndex1)) <=> v129(constB142, bitIndex1)))))),
% 8.27/6.18 inference(transitivity,[status(thm)],[19759, 19757])).
% 8.27/6.18 tff(19761,plain,
% 8.27/6.18 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB142)) | (~(((~v90(constB142, bitIndex2)) <=> v129(constB142, bitIndex2)) | ((~v90(constB142, bitIndex1)) <=> v129(constB142, bitIndex1)) | ((~v90(constB142, bitIndex0)) <=> v129(constB142, bitIndex0)))))),
% 8.27/6.18 inference(quant_inst,[status(thm)],[])).
% 8.27/6.18 tff(19762,plain,
% 8.27/6.18 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB142)) | (~(((~v90(constB142, bitIndex0)) <=> v129(constB142, bitIndex0)) | ((~v90(constB142, bitIndex2)) <=> v129(constB142, bitIndex2)) | ((~v90(constB142, bitIndex1)) <=> v129(constB142, bitIndex1))))),
% 8.27/6.19 inference(modus_ponens,[status(thm)],[19761, 19760])).
% 8.27/6.19 tff(19763,plain,
% 8.27/6.19 ((~v100(constB142)) | (~(((~v90(constB142, bitIndex0)) <=> v129(constB142, bitIndex0)) | ((~v90(constB142, bitIndex2)) <=> v129(constB142, bitIndex2)) | ((~v90(constB142, bitIndex1)) <=> v129(constB142, bitIndex1))))),
% 8.27/6.19 inference(unit_resolution,[status(thm)],[19762, 3429])).
% 8.27/6.19 tff(19764,plain,
% 8.27/6.19 (~(((~v90(constB142, bitIndex0)) <=> v129(constB142, bitIndex0)) | ((~v90(constB142, bitIndex2)) <=> v129(constB142, bitIndex2)) | ((~v90(constB142, bitIndex1)) <=> v129(constB142, bitIndex1)))),
% 8.27/6.19 inference(unit_resolution,[status(thm)],[19763, 19756])).
% 8.27/6.19 tff(19765,plain,
% 8.27/6.19 ((((~v90(constB142, bitIndex0)) <=> v129(constB142, bitIndex0)) | ((~v90(constB142, bitIndex2)) <=> v129(constB142, bitIndex2)) | ((~v90(constB142, bitIndex1)) <=> v129(constB142, bitIndex1))) | (~((~v90(constB142, bitIndex2)) <=> v129(constB142, bitIndex2)))),
% 8.27/6.19 inference(tautology,[status(thm)],[])).
% 8.27/6.19 tff(19766,plain,
% 8.27/6.19 (~((~v90(constB142, bitIndex2)) <=> v129(constB142, bitIndex2))),
% 8.27/6.19 inference(unit_resolution,[status(thm)],[19765, 19764])).
% 8.27/6.19 tff(19767,plain,
% 8.27/6.19 (((~v90(constB142, bitIndex2)) <=> v129(constB142, bitIndex2)) | v90(constB142, bitIndex2) | (~v129(constB142, bitIndex2))),
% 8.27/6.19 inference(tautology,[status(thm)],[])).
% 8.27/6.19 tff(19768,plain,
% 8.27/6.19 (v90(constB142, bitIndex2)),
% 8.27/6.19 inference(unit_resolution,[status(thm)],[19767, 19766, 19672])).
% 8.27/6.19 tff(19769,plain,
% 8.27/6.19 (((~v90(constB143, bitIndex2)) <=> v90(constB142, bitIndex2)) | v90(constB143, bitIndex2) | (~v90(constB142, bitIndex2))),
% 8.27/6.19 inference(tautology,[status(thm)],[])).
% 8.27/6.19 tff(19770,plain,
% 8.27/6.19 (v90(constB143, bitIndex2)),
% 8.27/6.19 inference(unit_resolution,[status(thm)],[19769, 19768, 16700])).
% 8.27/6.19 tff(19771,plain,
% 8.27/6.19 ((((~v90(constB143, bitIndex1)) <=> v90(constB142, bitIndex1)) | ((~v90(constB143, bitIndex2)) <=> v90(constB142, bitIndex2)) | ((~v90(constB143, bitIndex0)) <=> v90(constB142, bitIndex0))) | (~((~v90(constB143, bitIndex0)) <=> v90(constB142, bitIndex0)))),
% 8.27/6.19 inference(tautology,[status(thm)],[])).
% 8.27/6.19 tff(19772,plain,
% 8.27/6.19 (~((~v90(constB143, bitIndex0)) <=> v90(constB142, bitIndex0))),
% 8.27/6.19 inference(unit_resolution,[status(thm)],[19771, 16698])).
% 8.27/6.19 tff(19773,plain,
% 8.27/6.19 ((((~v129(constB142, bitIndex2)) <=> v127(constB141, bitIndex2)) | ((~v129(constB142, bitIndex1)) <=> v127(constB141, bitIndex1)) | ((~v129(constB142, bitIndex0)) <=> v127(constB141, bitIndex0))) | (~((~v129(constB142, bitIndex0)) <=> v127(constB141, bitIndex0)))),
% 8.27/6.19 inference(tautology,[status(thm)],[])).
% 8.27/6.19 tff(19774,plain,
% 8.27/6.19 (~((~v129(constB142, bitIndex0)) <=> v127(constB141, bitIndex0))),
% 8.27/6.19 inference(unit_resolution,[status(thm)],[19773, 16707])).
% 8.27/6.19 tff(19775,plain,
% 8.27/6.19 ((((~v127(constB141, bitIndex2)) <=> v130(constB141, bitIndex2)) | ((~v127(constB141, bitIndex1)) <=> v130(constB141, bitIndex1)) | ((~v127(constB141, bitIndex0)) <=> v130(constB141, bitIndex0))) | (~((~v127(constB141, bitIndex0)) <=> v130(constB141, bitIndex0)))),
% 8.27/6.19 inference(tautology,[status(thm)],[])).
% 8.27/6.19 tff(19776,plain,
% 8.27/6.19 (~((~v127(constB141, bitIndex0)) <=> v130(constB141, bitIndex0))),
% 8.27/6.19 inference(unit_resolution,[status(thm)],[19775, 16721])).
% 8.27/6.19 tff(19777,plain,
% 8.27/6.19 ((v130(constB141, bitIndex1) | v130(constB141, bitIndex0) | (~v130(constB141, bitIndex2))) | (~v130(constB141, bitIndex0))),
% 8.27/6.19 inference(tautology,[status(thm)],[])).
% 8.27/6.19 tff(19778,plain,
% 8.27/6.19 (~v130(constB141, bitIndex0)),
% 8.27/6.19 inference(unit_resolution,[status(thm)],[19777, 19666])).
% 8.27/6.19 tff(19779,plain,
% 8.27/6.19 (((~v127(constB141, bitIndex0)) <=> v130(constB141, bitIndex0)) | (~v127(constB141, bitIndex0)) | v130(constB141, bitIndex0)),
% 8.27/6.19 inference(tautology,[status(thm)],[])).
% 8.27/6.19 tff(19780,plain,
% 8.27/6.19 (~v127(constB141, bitIndex0)),
% 8.27/6.19 inference(unit_resolution,[status(thm)],[19779, 19778, 19776])).
% 8.27/6.19 tff(19781,plain,
% 8.27/6.19 (((~v129(constB142, bitIndex0)) <=> v127(constB141, bitIndex0)) | (~v129(constB142, bitIndex0)) | v127(constB141, bitIndex0)),
% 8.27/6.19 inference(tautology,[status(thm)],[])).
% 8.27/6.19 tff(19782,plain,
% 8.27/6.19 (~v129(constB142, bitIndex0)),
% 8.27/6.19 inference(unit_resolution,[status(thm)],[19781, 19780, 19774])).
% 8.27/6.19 tff(19783,plain,
% 8.27/6.19 ((((~v90(constB142, bitIndex0)) <=> v129(constB142, bitIndex0)) | ((~v90(constB142, bitIndex2)) <=> v129(constB142, bitIndex2)) | ((~v90(constB142, bitIndex1)) <=> v129(constB142, bitIndex1))) | (~((~v90(constB142, bitIndex0)) <=> v129(constB142, bitIndex0)))),
% 8.27/6.19 inference(tautology,[status(thm)],[])).
% 8.27/6.19 tff(19784,plain,
% 8.27/6.19 (~((~v90(constB142, bitIndex0)) <=> v129(constB142, bitIndex0))),
% 8.27/6.19 inference(unit_resolution,[status(thm)],[19783, 19764])).
% 8.27/6.19 tff(19785,plain,
% 8.27/6.19 (((~v90(constB142, bitIndex0)) <=> v129(constB142, bitIndex0)) | (~v90(constB142, bitIndex0)) | v129(constB142, bitIndex0)),
% 8.27/6.19 inference(tautology,[status(thm)],[])).
% 8.27/6.19 tff(19786,plain,
% 8.27/6.19 (~v90(constB142, bitIndex0)),
% 8.27/6.19 inference(unit_resolution,[status(thm)],[19785, 19784, 19782])).
% 8.27/6.19 tff(19787,plain,
% 8.27/6.19 (((~v90(constB143, bitIndex0)) <=> v90(constB142, bitIndex0)) | (~v90(constB143, bitIndex0)) | v90(constB142, bitIndex0)),
% 8.27/6.19 inference(tautology,[status(thm)],[])).
% 8.27/6.19 tff(19788,plain,
% 8.27/6.19 (~v90(constB143, bitIndex0)),
% 8.27/6.19 inference(unit_resolution,[status(thm)],[19787, 19786, 19772])).
% 8.27/6.19 tff(19789,plain,
% 8.27/6.19 ((((~v90(constB143, bitIndex1)) <=> v90(constB142, bitIndex1)) | ((~v90(constB143, bitIndex2)) <=> v90(constB142, bitIndex2)) | ((~v90(constB143, bitIndex0)) <=> v90(constB142, bitIndex0))) | (~((~v90(constB143, bitIndex1)) <=> v90(constB142, bitIndex1)))),
% 8.27/6.19 inference(tautology,[status(thm)],[])).
% 8.27/6.19 tff(19790,plain,
% 8.27/6.19 (~((~v90(constB143, bitIndex1)) <=> v90(constB142, bitIndex1))),
% 8.27/6.19 inference(unit_resolution,[status(thm)],[19789, 16698])).
% 8.27/6.19 tff(19791,plain,
% 8.27/6.19 ((((~v129(constB142, bitIndex2)) <=> v127(constB141, bitIndex2)) | ((~v129(constB142, bitIndex1)) <=> v127(constB141, bitIndex1)) | ((~v129(constB142, bitIndex0)) <=> v127(constB141, bitIndex0))) | (~((~v129(constB142, bitIndex1)) <=> v127(constB141, bitIndex1)))),
% 8.27/6.19 inference(tautology,[status(thm)],[])).
% 8.27/6.19 tff(19792,plain,
% 8.27/6.19 (~((~v129(constB142, bitIndex1)) <=> v127(constB141, bitIndex1))),
% 8.27/6.19 inference(unit_resolution,[status(thm)],[19791, 16707])).
% 8.27/6.19 tff(19793,plain,
% 8.27/6.19 ((((~v127(constB141, bitIndex2)) <=> v130(constB141, bitIndex2)) | ((~v127(constB141, bitIndex1)) <=> v130(constB141, bitIndex1)) | ((~v127(constB141, bitIndex0)) <=> v130(constB141, bitIndex0))) | (~((~v127(constB141, bitIndex1)) <=> v130(constB141, bitIndex1)))),
% 8.27/6.19 inference(tautology,[status(thm)],[])).
% 8.27/6.19 tff(19794,plain,
% 8.27/6.19 (~((~v127(constB141, bitIndex1)) <=> v130(constB141, bitIndex1))),
% 8.27/6.19 inference(unit_resolution,[status(thm)],[19793, 16721])).
% 8.27/6.19 tff(19795,plain,
% 8.27/6.19 ((v130(constB141, bitIndex1) | v130(constB141, bitIndex0) | (~v130(constB141, bitIndex2))) | (~v130(constB141, bitIndex1))),
% 8.27/6.19 inference(tautology,[status(thm)],[])).
% 8.27/6.19 tff(19796,plain,
% 8.27/6.19 (~v130(constB141, bitIndex1)),
% 8.27/6.19 inference(unit_resolution,[status(thm)],[19795, 19666])).
% 8.27/6.19 tff(19797,plain,
% 8.27/6.19 (((~v127(constB141, bitIndex1)) <=> v130(constB141, bitIndex1)) | (~v127(constB141, bitIndex1)) | v130(constB141, bitIndex1)),
% 8.27/6.19 inference(tautology,[status(thm)],[])).
% 8.27/6.19 tff(19798,plain,
% 8.27/6.19 (~v127(constB141, bitIndex1)),
% 8.27/6.19 inference(unit_resolution,[status(thm)],[19797, 19796, 19794])).
% 8.27/6.19 tff(19799,plain,
% 8.27/6.19 (((~v129(constB142, bitIndex1)) <=> v127(constB141, bitIndex1)) | (~v129(constB142, bitIndex1)) | v127(constB141, bitIndex1)),
% 8.27/6.19 inference(tautology,[status(thm)],[])).
% 8.27/6.19 tff(19800,plain,
% 8.27/6.19 (~v129(constB142, bitIndex1)),
% 8.27/6.19 inference(unit_resolution,[status(thm)],[19799, 19798, 19792])).
% 8.27/6.19 tff(19801,plain,
% 8.27/6.19 ((((~v90(constB142, bitIndex0)) <=> v129(constB142, bitIndex0)) | ((~v90(constB142, bitIndex2)) <=> v129(constB142, bitIndex2)) | ((~v90(constB142, bitIndex1)) <=> v129(constB142, bitIndex1))) | (~((~v90(constB142, bitIndex1)) <=> v129(constB142, bitIndex1)))),
% 8.27/6.19 inference(tautology,[status(thm)],[])).
% 8.27/6.19 tff(19802,plain,
% 8.27/6.19 (~((~v90(constB142, bitIndex1)) <=> v129(constB142, bitIndex1))),
% 8.27/6.19 inference(unit_resolution,[status(thm)],[19801, 19764])).
% 8.27/6.19 tff(19803,plain,
% 8.27/6.19 (((~v90(constB142, bitIndex1)) <=> v129(constB142, bitIndex1)) | (~v90(constB142, bitIndex1)) | v129(constB142, bitIndex1)),
% 8.27/6.19 inference(tautology,[status(thm)],[])).
% 8.27/6.19 tff(19804,plain,
% 8.27/6.19 (~v90(constB142, bitIndex1)),
% 8.27/6.19 inference(unit_resolution,[status(thm)],[19803, 19802, 19800])).
% 8.27/6.19 tff(19805,plain,
% 8.27/6.19 (((~v90(constB143, bitIndex1)) <=> v90(constB142, bitIndex1)) | (~v90(constB143, bitIndex1)) | v90(constB142, bitIndex1)),
% 8.27/6.19 inference(tautology,[status(thm)],[])).
% 8.27/6.19 tff(19806,plain,
% 8.27/6.19 (~v90(constB143, bitIndex1)),
% 8.27/6.19 inference(unit_resolution,[status(thm)],[19805, 19804, 19790])).
% 8.27/6.19 tff(19807,plain,
% 8.27/6.19 ((~(v90(constB143, bitIndex1) | v90(constB143, bitIndex0) | (~v90(constB143, bitIndex2)))) | v90(constB143, bitIndex1) | v90(constB143, bitIndex0) | (~v90(constB143, bitIndex2))),
% 8.27/6.19 inference(tautology,[status(thm)],[])).
% 8.27/6.19 tff(19808,plain,
% 8.27/6.19 (~(v90(constB143, bitIndex1) | v90(constB143, bitIndex0) | (~v90(constB143, bitIndex2)))),
% 8.27/6.19 inference(unit_resolution,[status(thm)],[19807, 19806, 19788, 19770])).
% 8.27/6.19 tff(19809,plain,
% 8.27/6.19 ((~(v123(constB143) <=> (~(v90(constB143, bitIndex1) | v90(constB143, bitIndex0) | (~v90(constB143, bitIndex2)))))) | v123(constB143) | (v90(constB143, bitIndex1) | v90(constB143, bitIndex0) | (~v90(constB143, bitIndex2)))),
% 8.27/6.19 inference(tautology,[status(thm)],[])).
% 8.27/6.19 tff(19810,plain,
% 8.27/6.19 (v123(constB143)),
% 8.27/6.19 inference(unit_resolution,[status(thm)],[19809, 19808, 16664])).
% 8.27/6.19 tff(19811,plain,
% 8.27/6.19 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | ((~v123(constB143)) | (~(v130(constB143, bitIndex0) | (~v130(constB143, bitIndex2)) | (~v130(constB143, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | (~v123(constB143)) | (~(v130(constB143, bitIndex0) | (~v130(constB143, bitIndex2)) | (~v130(constB143, bitIndex1)))))),
% 8.27/6.19 inference(rewrite,[status(thm)],[])).
% 8.27/6.19 tff(19812,plain,
% 8.27/6.19 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | ((~v123(constB143)) | (~(v130(constB143, bitIndex0) | (~v130(constB143, bitIndex2)) | (~v130(constB143, bitIndex1)))))),
% 8.27/6.19 inference(quant_inst,[status(thm)],[])).
% 8.27/6.19 tff(19813,plain,
% 8.27/6.19 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | (~v123(constB143)) | (~(v130(constB143, bitIndex0) | (~v130(constB143, bitIndex2)) | (~v130(constB143, bitIndex1))))),
% 8.27/6.19 inference(modus_ponens,[status(thm)],[19812, 19811])).
% 8.27/6.19 tff(19814,plain,
% 8.27/6.19 ((~v123(constB143)) | (~(v130(constB143, bitIndex0) | (~v130(constB143, bitIndex2)) | (~v130(constB143, bitIndex1))))),
% 8.27/6.19 inference(unit_resolution,[status(thm)],[19813, 3496])).
% 8.27/6.19 tff(19815,plain,
% 8.27/6.19 (~(v130(constB143, bitIndex0) | (~v130(constB143, bitIndex2)) | (~v130(constB143, bitIndex1)))),
% 8.27/6.19 inference(unit_resolution,[status(thm)],[19814, 19810])).
% 8.27/6.19 tff(19816,plain,
% 8.27/6.19 ((v130(constB143, bitIndex0) | (~v130(constB143, bitIndex2)) | (~v130(constB143, bitIndex1))) | v130(constB143, bitIndex2)),
% 8.27/6.19 inference(tautology,[status(thm)],[])).
% 8.27/6.19 tff(19817,plain,
% 8.27/6.19 (v130(constB143, bitIndex2)),
% 8.27/6.19 inference(unit_resolution,[status(thm)],[19816, 19815])).
% 8.27/6.19 tff(19818,plain,
% 8.27/6.19 (((~v127(constB143, bitIndex2)) <=> v130(constB143, bitIndex2)) | v127(constB143, bitIndex2) | (~v130(constB143, bitIndex2))),
% 8.27/6.19 inference(tautology,[status(thm)],[])).
% 8.27/6.19 tff(19819,plain,
% 8.27/6.19 (v127(constB143, bitIndex2)),
% 8.27/6.19 inference(unit_resolution,[status(thm)],[19818, 19817, 16657])).
% 8.27/6.19 tff(19820,plain,
% 8.27/6.19 (((~v129(constB144, bitIndex2)) <=> v127(constB143, bitIndex2)) | v129(constB144, bitIndex2) | (~v127(constB143, bitIndex2))),
% 8.27/6.19 inference(tautology,[status(thm)],[])).
% 8.27/6.19 tff(19821,plain,
% 8.27/6.19 (v129(constB144, bitIndex2)),
% 8.27/6.19 inference(unit_resolution,[status(thm)],[19820, 19819, 16643])).
% 8.27/6.19 tff(19822,plain,
% 8.27/6.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB143, constB144)) | (v100(constB144) <=> (~((~v101(constB144)) | (~v110(constB144))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB143, constB144)) | (v100(constB144) <=> (~((~v101(constB144)) | (~v110(constB144))))))),
% 8.27/6.19 inference(rewrite,[status(thm)],[])).
% 8.27/6.19 tff(19823,plain,
% 8.27/6.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB143, constB144)) | (v100(constB144) <=> (~((~v101(constB144)) | (~v110(constB144))))))),
% 8.27/6.19 inference(quant_inst,[status(thm)],[])).
% 8.27/6.19 tff(19824,plain,
% 8.27/6.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB143, constB144)) | (v100(constB144) <=> (~((~v101(constB144)) | (~v110(constB144)))))),
% 8.27/6.19 inference(modus_ponens,[status(thm)],[19823, 19822])).
% 8.27/6.19 tff(19825,plain,
% 8.27/6.19 (v100(constB144) <=> (~((~v101(constB144)) | (~v110(constB144))))),
% 8.27/6.19 inference(unit_resolution,[status(thm)],[19824, 16637, 445])).
% 8.27/6.19 tff(19826,plain,
% 8.27/6.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB143, constB144)) | (v101(constB144) <=> (~((~v1(constB144)) | (~v102(constB144))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB143, constB144)) | (v101(constB144) <=> (~((~v1(constB144)) | (~v102(constB144))))))),
% 8.27/6.19 inference(rewrite,[status(thm)],[])).
% 8.27/6.19 tff(19827,plain,
% 8.27/6.19 (((~nextState(constB143, constB144)) | (v101(constB144) <=> (~((~v102(constB144)) | (~v1(constB144)))))) <=> ((~nextState(constB143, constB144)) | (v101(constB144) <=> (~((~v1(constB144)) | (~v102(constB144))))))),
% 8.27/6.19 inference(rewrite,[status(thm)],[])).
% 8.27/6.19 tff(19828,plain,
% 8.27/6.19 (((~![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) <=> (~((~v1(constB144)) | (~v102(constB144)))))))),
% 8.27/6.19 inference(monotonicity,[status(thm)],[19827])).
% 8.27/6.19 tff(19829,plain,
% 8.27/6.19 (((~![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) <=> (~((~v1(constB144)) | (~v102(constB144))))))),
% 8.27/6.19 inference(transitivity,[status(thm)],[19828, 19826])).
% 8.27/6.19 tff(19830,plain,
% 8.27/6.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB143, constB144)) | (v101(constB144) <=> (~((~v102(constB144)) | (~v1(constB144))))))),
% 8.27/6.19 inference(quant_inst,[status(thm)],[])).
% 8.27/6.19 tff(19831,plain,
% 8.27/6.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB143, constB144)) | (v101(constB144) <=> (~((~v1(constB144)) | (~v102(constB144)))))),
% 8.27/6.19 inference(modus_ponens,[status(thm)],[19830, 19829])).
% 8.27/6.19 tff(19832,plain,
% 8.27/6.19 (v101(constB144) <=> (~((~v1(constB144)) | (~v102(constB144))))),
% 8.27/6.19 inference(unit_resolution,[status(thm)],[19831, 16637, 465])).
% 8.27/6.19 tff(19833,plain,
% 8.27/6.19 (((~![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)))),
% 8.27/6.19 inference(rewrite,[status(thm)],[])).
% 8.27/6.19 tff(19834,plain,
% 8.27/6.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB143, constB144)) | ((~v102(constB144)) <=> v104(constB144)))),
% 8.27/6.19 inference(quant_inst,[status(thm)],[])).
% 8.27/6.19 tff(19835,plain,
% 8.27/6.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB143, constB144)) | ((~v102(constB144)) <=> v104(constB144))),
% 8.27/6.19 inference(modus_ponens,[status(thm)],[19834, 19833])).
% 8.27/6.19 tff(19836,plain,
% 8.27/6.19 ((~v102(constB144)) <=> v104(constB144)),
% 8.27/6.19 inference(unit_resolution,[status(thm)],[19835, 16637, 3244])).
% 8.27/6.19 tff(19837,plain,
% 8.27/6.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB143, constB144)) | (v104(constB144) <=> v1(constB143)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB143, constB144)) | (v104(constB144) <=> v1(constB143)))),
% 8.27/6.19 inference(rewrite,[status(thm)],[])).
% 8.27/6.19 tff(19838,plain,
% 8.27/6.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB143, constB144)) | (v104(constB144) <=> v1(constB143)))),
% 8.27/6.19 inference(quant_inst,[status(thm)],[])).
% 8.27/6.19 tff(19839,plain,
% 8.27/6.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB143, constB144)) | (v104(constB144) <=> v1(constB143))),
% 8.27/6.19 inference(modus_ponens,[status(thm)],[19838, 19837])).
% 8.27/6.19 tff(19840,plain,
% 8.27/6.19 (v104(constB144) <=> v1(constB143)),
% 8.27/6.19 inference(unit_resolution,[status(thm)],[19839, 16637, 3258])).
% 8.27/6.19 tff(19841,plain,
% 8.27/6.19 ((~(v104(constB144) <=> v1(constB143))) | (~v104(constB144)) | v1(constB143)),
% 8.27/6.19 inference(tautology,[status(thm)],[])).
% 8.27/6.19 tff(19842,plain,
% 8.27/6.19 ((~(v104(constB144) <=> v1(constB143))) | (~v104(constB144))),
% 8.27/6.19 inference(unit_resolution,[status(thm)],[19841, 16681])).
% 8.27/6.19 tff(19843,plain,
% 8.27/6.19 (~v104(constB144)),
% 8.27/6.19 inference(unit_resolution,[status(thm)],[19842, 19840])).
% 8.27/6.19 tff(19844,plain,
% 8.27/6.19 ((~((~v102(constB144)) <=> v104(constB144))) | v102(constB144) | v104(constB144)),
% 8.27/6.19 inference(tautology,[status(thm)],[])).
% 8.27/6.19 tff(19845,plain,
% 8.27/6.19 (v102(constB144)),
% 8.27/6.19 inference(unit_resolution,[status(thm)],[19844, 19843, 19836])).
% 8.27/6.19 tff(19846,plain,
% 8.27/6.19 (v1(constB144) <=> v1(constB144)),
% 8.27/6.19 inference(rewrite,[status(thm)],[])).
% 8.27/6.19 tff(19847,axiom,(v1(constB144)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_144')).
% 8.27/6.19 tff(19848,plain,
% 8.27/6.19 (v1(constB144)),
% 8.27/6.19 inference(modus_ponens,[status(thm)],[19847, 19846])).
% 8.27/6.19 tff(19849,plain,
% 8.27/6.19 ((~((~v1(constB144)) | (~v102(constB144)))) | (~v1(constB144)) | (~v102(constB144))),
% 8.27/6.19 inference(tautology,[status(thm)],[])).
% 8.27/6.19 tff(19850,plain,
% 8.27/6.19 ((~((~v1(constB144)) | (~v102(constB144)))) | (~v102(constB144))),
% 8.27/6.19 inference(unit_resolution,[status(thm)],[19849, 19848])).
% 8.27/6.19 tff(19851,plain,
% 8.27/6.19 (~((~v1(constB144)) | (~v102(constB144)))),
% 8.27/6.19 inference(unit_resolution,[status(thm)],[19850, 19845])).
% 8.27/6.19 tff(19852,plain,
% 8.27/6.19 ((~(v101(constB144) <=> (~((~v1(constB144)) | (~v102(constB144)))))) | v101(constB144) | ((~v1(constB144)) | (~v102(constB144)))),
% 8.27/6.19 inference(tautology,[status(thm)],[])).
% 8.27/6.19 tff(19853,plain,
% 8.27/6.19 (v101(constB144)),
% 8.27/6.19 inference(unit_resolution,[status(thm)],[19852, 19851, 19832])).
% 8.27/6.19 tff(19854,plain,
% 8.27/6.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB143, constB144)) | (v110(constB144) <=> v108(constB143)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB143, constB144)) | (v110(constB144) <=> v108(constB143)))),
% 8.27/6.19 inference(rewrite,[status(thm)],[])).
% 8.27/6.19 tff(19855,plain,
% 8.27/6.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB143, constB144)) | (v110(constB144) <=> v108(constB143)))),
% 8.27/6.19 inference(quant_inst,[status(thm)],[])).
% 8.27/6.19 tff(19856,plain,
% 8.27/6.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB143, constB144)) | (v110(constB144) <=> v108(constB143))),
% 8.27/6.19 inference(modus_ponens,[status(thm)],[19855, 19854])).
% 8.27/6.19 tff(19857,plain,
% 8.27/6.19 (v110(constB144) <=> v108(constB143)),
% 8.27/6.19 inference(unit_resolution,[status(thm)],[19856, 16637, 3285])).
% 8.27/6.19 tff(19858,plain,
% 8.27/6.19 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB143) <=> (v111(constB143) | v112(constB143)))),
% 8.27/6.19 inference(quant_inst,[status(thm)],[])).
% 8.27/6.19 tff(19859,plain,
% 8.27/6.19 (v108(constB143) <=> (v111(constB143) | v112(constB143))),
% 8.27/6.19 inference(unit_resolution,[status(thm)],[19858, 3296])).
% 8.27/6.19 tff(19860,plain,
% 8.27/6.19 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB143) <=> (~((~v113(constB143)) | (~v126(constB143)))))),
% 8.27/6.19 inference(quant_inst,[status(thm)],[])).
% 8.27/6.19 tff(19861,plain,
% 8.27/6.19 (v112(constB143) <=> (~((~v113(constB143)) | (~v126(constB143))))),
% 8.27/6.19 inference(unit_resolution,[status(thm)],[19860, 3308])).
% 8.27/6.19 tff(19862,plain,
% 8.27/6.19 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB143) <=> (v114(constB143) | v125(constB143)))),
% 8.27/6.19 inference(quant_inst,[status(thm)],[])).
% 8.27/6.19 tff(19863,plain,
% 8.27/6.19 (v113(constB143) <=> (v114(constB143) | v125(constB143))),
% 8.27/6.19 inference(unit_resolution,[status(thm)],[19862, 3317])).
% 8.27/6.19 tff(19864,plain,
% 8.27/6.19 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB143) <=> (v115(constB143) | v124(constB143)))),
% 8.27/6.19 inference(quant_inst,[status(thm)],[])).
% 8.27/6.19 tff(19865,plain,
% 8.27/6.19 (v114(constB143) <=> (v115(constB143) | v124(constB143))),
% 8.27/6.19 inference(unit_resolution,[status(thm)],[19864, 3326])).
% 8.27/6.19 tff(19866,plain,
% 8.27/6.19 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB143) <=> (v116(constB143) | v123(constB143)))),
% 8.27/6.19 inference(quant_inst,[status(thm)],[])).
% 8.27/6.19 tff(19867,plain,
% 8.27/6.19 (v115(constB143) <=> (v116(constB143) | v123(constB143))),
% 8.27/6.19 inference(unit_resolution,[status(thm)],[19866, 3335])).
% 8.27/6.19 tff(19868,plain,
% 8.27/6.19 ((v116(constB143) | v123(constB143)) | (~v123(constB143))),
% 8.27/6.19 inference(tautology,[status(thm)],[])).
% 8.27/6.19 tff(19869,plain,
% 8.27/6.19 (v116(constB143) | v123(constB143)),
% 8.27/6.19 inference(unit_resolution,[status(thm)],[19868, 19810])).
% 8.27/6.19 tff(19870,plain,
% 8.27/6.19 ((~(v115(constB143) <=> (v116(constB143) | v123(constB143)))) | v115(constB143) | (~(v116(constB143) | v123(constB143)))),
% 8.27/6.19 inference(tautology,[status(thm)],[])).
% 8.27/6.19 tff(19871,plain,
% 8.27/6.19 (v115(constB143)),
% 8.27/6.19 inference(unit_resolution,[status(thm)],[19870, 19869, 19867])).
% 8.27/6.19 tff(19872,plain,
% 8.27/6.19 ((v115(constB143) | v124(constB143)) | (~v115(constB143))),
% 8.27/6.19 inference(tautology,[status(thm)],[])).
% 8.27/6.19 tff(19873,plain,
% 8.27/6.19 (v115(constB143) | v124(constB143)),
% 8.27/6.19 inference(unit_resolution,[status(thm)],[19872, 19871])).
% 8.27/6.19 tff(19874,plain,
% 8.27/6.19 ((~(v114(constB143) <=> (v115(constB143) | v124(constB143)))) | v114(constB143) | (~(v115(constB143) | v124(constB143)))),
% 8.27/6.19 inference(tautology,[status(thm)],[])).
% 8.27/6.19 tff(19875,plain,
% 8.27/6.19 (v114(constB143)),
% 8.27/6.19 inference(unit_resolution,[status(thm)],[19874, 19873, 19865])).
% 8.27/6.19 tff(19876,plain,
% 8.27/6.19 ((v114(constB143) | v125(constB143)) | (~v114(constB143))),
% 8.27/6.19 inference(tautology,[status(thm)],[])).
% 8.27/6.19 tff(19877,plain,
% 8.27/6.19 (v114(constB143) | v125(constB143)),
% 8.27/6.19 inference(unit_resolution,[status(thm)],[19876, 19875])).
% 8.27/6.19 tff(19878,plain,
% 8.27/6.19 ((~(v113(constB143) <=> (v114(constB143) | v125(constB143)))) | v113(constB143) | (~(v114(constB143) | v125(constB143)))),
% 8.27/6.19 inference(tautology,[status(thm)],[])).
% 8.27/6.19 tff(19879,plain,
% 8.27/6.19 (v113(constB143)),
% 8.27/6.19 inference(unit_resolution,[status(thm)],[19878, 19877, 19863])).
% 8.27/6.19 tff(19880,plain,
% 8.27/6.19 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB143)) <=> v111(constB143))),
% 8.27/6.19 inference(quant_inst,[status(thm)],[])).
% 8.27/6.19 tff(19881,plain,
% 8.27/6.19 ((~v126(constB143)) <=> v111(constB143)),
% 8.27/6.19 inference(unit_resolution,[status(thm)],[19880, 3396])).
% 8.27/6.19 tff(19882,plain,
% 8.27/6.19 ((~((~v126(constB143)) <=> v111(constB143))) | v126(constB143) | v111(constB143)),
% 8.27/6.19 inference(tautology,[status(thm)],[])).
% 8.27/6.19 tff(19883,plain,
% 8.27/6.19 ((~((~v126(constB143)) <=> v111(constB143))) | v126(constB143)),
% 8.27/6.19 inference(unit_resolution,[status(thm)],[19882, 16650])).
% 8.27/6.19 tff(19884,plain,
% 8.27/6.19 (v126(constB143)),
% 8.27/6.19 inference(unit_resolution,[status(thm)],[19883, 19881])).
% 8.27/6.19 tff(19885,plain,
% 8.27/6.19 ((~((~v113(constB143)) | (~v126(constB143)))) | (~v113(constB143)) | (~v126(constB143))),
% 8.27/6.19 inference(tautology,[status(thm)],[])).
% 8.27/6.19 tff(19886,plain,
% 8.27/6.19 ((~((~v113(constB143)) | (~v126(constB143)))) | (~v113(constB143))),
% 8.27/6.19 inference(unit_resolution,[status(thm)],[19885, 19884])).
% 8.27/6.19 tff(19887,plain,
% 8.27/6.19 (~((~v113(constB143)) | (~v126(constB143)))),
% 8.27/6.19 inference(unit_resolution,[status(thm)],[19886, 19879])).
% 8.27/6.19 tff(19888,plain,
% 8.27/6.19 ((~(v112(constB143) <=> (~((~v113(constB143)) | (~v126(constB143)))))) | v112(constB143) | ((~v113(constB143)) | (~v126(constB143)))),
% 8.27/6.19 inference(tautology,[status(thm)],[])).
% 8.27/6.19 tff(19889,plain,
% 8.27/6.19 (v112(constB143)),
% 8.27/6.19 inference(unit_resolution,[status(thm)],[19888, 19887, 19861])).
% 8.27/6.19 tff(19890,plain,
% 8.27/6.19 ((v111(constB143) | v112(constB143)) | (~v112(constB143))),
% 8.27/6.19 inference(tautology,[status(thm)],[])).
% 8.27/6.19 tff(19891,plain,
% 8.27/6.19 (v111(constB143) | v112(constB143)),
% 8.27/6.19 inference(unit_resolution,[status(thm)],[19890, 19889])).
% 8.27/6.19 tff(19892,plain,
% 8.27/6.19 ((~(v108(constB143) <=> (v111(constB143) | v112(constB143)))) | v108(constB143) | (~(v111(constB143) | v112(constB143)))),
% 8.27/6.19 inference(tautology,[status(thm)],[])).
% 8.27/6.19 tff(19893,plain,
% 8.27/6.19 (v108(constB143)),
% 8.27/6.19 inference(unit_resolution,[status(thm)],[19892, 19891, 19859])).
% 8.27/6.19 tff(19894,plain,
% 8.27/6.19 ((~(v110(constB144) <=> v108(constB143))) | v110(constB144) | (~v108(constB143))),
% 8.27/6.19 inference(tautology,[status(thm)],[])).
% 8.27/6.19 tff(19895,plain,
% 8.27/6.19 (v110(constB144)),
% 8.27/6.19 inference(unit_resolution,[status(thm)],[19894, 19893, 19857])).
% 8.27/6.19 tff(19896,plain,
% 8.27/6.19 ((~((~v101(constB144)) | (~v110(constB144)))) | (~v101(constB144)) | (~v110(constB144))),
% 8.27/6.19 inference(tautology,[status(thm)],[])).
% 8.27/6.19 tff(19897,plain,
% 8.27/6.19 (~((~v101(constB144)) | (~v110(constB144)))),
% 8.27/6.19 inference(unit_resolution,[status(thm)],[19896, 19895, 19853])).
% 8.27/6.19 tff(19898,plain,
% 8.27/6.19 ((~(v100(constB144) <=> (~((~v101(constB144)) | (~v110(constB144)))))) | v100(constB144) | ((~v101(constB144)) | (~v110(constB144)))),
% 8.27/6.19 inference(tautology,[status(thm)],[])).
% 8.27/6.19 tff(19899,plain,
% 8.27/6.19 (v100(constB144)),
% 8.27/6.19 inference(unit_resolution,[status(thm)],[19898, 19897, 19825])).
% 8.27/6.19 tff(19900,plain,
% 8.27/6.19 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB144)) | (~(((~v90(constB144, bitIndex2)) <=> v129(constB144, bitIndex2)) | ((~v90(constB144, bitIndex1)) <=> v129(constB144, bitIndex1)) | ((~v90(constB144, bitIndex0)) <=> v129(constB144, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB144)) | (~(((~v90(constB144, bitIndex2)) <=> v129(constB144, bitIndex2)) | ((~v90(constB144, bitIndex1)) <=> v129(constB144, bitIndex1)) | ((~v90(constB144, bitIndex0)) <=> v129(constB144, bitIndex0)))))),
% 8.27/6.19 inference(rewrite,[status(thm)],[])).
% 8.27/6.19 tff(19901,plain,
% 8.27/6.19 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB144)) | (~(((~v90(constB144, bitIndex2)) <=> v129(constB144, bitIndex2)) | ((~v90(constB144, bitIndex1)) <=> v129(constB144, bitIndex1)) | ((~v90(constB144, bitIndex0)) <=> v129(constB144, bitIndex0)))))),
% 8.27/6.19 inference(quant_inst,[status(thm)],[])).
% 8.27/6.19 tff(19902,plain,
% 8.27/6.19 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB144)) | (~(((~v90(constB144, bitIndex2)) <=> v129(constB144, bitIndex2)) | ((~v90(constB144, bitIndex1)) <=> v129(constB144, bitIndex1)) | ((~v90(constB144, bitIndex0)) <=> v129(constB144, bitIndex0))))),
% 8.27/6.19 inference(modus_ponens,[status(thm)],[19901, 19900])).
% 8.27/6.19 tff(19903,plain,
% 8.27/6.19 ((~v100(constB144)) | (~(((~v90(constB144, bitIndex2)) <=> v129(constB144, bitIndex2)) | ((~v90(constB144, bitIndex1)) <=> v129(constB144, bitIndex1)) | ((~v90(constB144, bitIndex0)) <=> v129(constB144, bitIndex0))))),
% 8.27/6.19 inference(unit_resolution,[status(thm)],[19902, 3429])).
% 8.27/6.19 tff(19904,plain,
% 8.27/6.19 (~(((~v90(constB144, bitIndex2)) <=> v129(constB144, bitIndex2)) | ((~v90(constB144, bitIndex1)) <=> v129(constB144, bitIndex1)) | ((~v90(constB144, bitIndex0)) <=> v129(constB144, bitIndex0)))),
% 8.27/6.19 inference(unit_resolution,[status(thm)],[19903, 19899])).
% 8.27/6.19 tff(19905,plain,
% 8.27/6.19 ((((~v90(constB144, bitIndex2)) <=> v129(constB144, bitIndex2)) | ((~v90(constB144, bitIndex1)) <=> v129(constB144, bitIndex1)) | ((~v90(constB144, bitIndex0)) <=> v129(constB144, bitIndex0))) | (~((~v90(constB144, bitIndex2)) <=> v129(constB144, bitIndex2)))),
% 8.27/6.19 inference(tautology,[status(thm)],[])).
% 8.27/6.19 tff(19906,plain,
% 8.27/6.19 (~((~v90(constB144, bitIndex2)) <=> v129(constB144, bitIndex2))),
% 8.27/6.19 inference(unit_resolution,[status(thm)],[19905, 19904])).
% 8.27/6.19 tff(19907,plain,
% 8.27/6.19 (((~v90(constB144, bitIndex2)) <=> v129(constB144, bitIndex2)) | v90(constB144, bitIndex2) | (~v129(constB144, bitIndex2))),
% 8.27/6.19 inference(tautology,[status(thm)],[])).
% 8.27/6.19 tff(19908,plain,
% 8.27/6.19 (v90(constB144, bitIndex2)),
% 8.27/6.19 inference(unit_resolution,[status(thm)],[19907, 19906, 19821])).
% 8.27/6.19 tff(19909,plain,
% 8.27/6.19 (((~v90(constB145, bitIndex2)) <=> v90(constB144, bitIndex2)) | v90(constB145, bitIndex2) | (~v90(constB144, bitIndex2))),
% 8.27/6.19 inference(tautology,[status(thm)],[])).
% 8.27/6.19 tff(19910,plain,
% 8.27/6.19 (v90(constB145, bitIndex2)),
% 8.27/6.19 inference(unit_resolution,[status(thm)],[19909, 19908, 16634])).
% 8.27/6.19 tff(19911,plain,
% 8.27/6.19 ((v90(constB145, bitIndex0) | v90(constB145, bitIndex1) | v90(constB145, bitIndex2)) | (~v90(constB145, bitIndex2))),
% 8.27/6.19 inference(tautology,[status(thm)],[])).
% 8.27/6.19 tff(19912,plain,
% 8.27/6.19 (v90(constB145, bitIndex0) | v90(constB145, bitIndex1) | v90(constB145, bitIndex2)),
% 8.27/6.19 inference(unit_resolution,[status(thm)],[19911, 19910])).
% 8.27/6.19 tff(19913,plain,
% 8.27/6.19 ((~(v119(constB145) <=> (~(v90(constB145, bitIndex0) | v90(constB145, bitIndex1) | v90(constB145, bitIndex2))))) | (~v119(constB145)) | (~(v90(constB145, bitIndex0) | v90(constB145, bitIndex1) | v90(constB145, bitIndex2)))),
% 8.27/6.19 inference(tautology,[status(thm)],[])).
% 8.27/6.19 tff(19914,plain,
% 8.27/6.19 (~v119(constB145)),
% 8.27/6.19 inference(unit_resolution,[status(thm)],[19913, 19912, 16598])).
% 8.27/6.19 tff(19915,plain,
% 8.27/6.19 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB145) <=> (~(v90(constB145, bitIndex1) | (~v90(constB145, bitIndex2)) | (~v90(constB145, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB145) <=> (~(v90(constB145, bitIndex1) | (~v90(constB145, bitIndex2)) | (~v90(constB145, bitIndex0))))))),
% 8.27/6.19 inference(rewrite,[status(thm)],[])).
% 8.27/6.19 tff(19916,plain,
% 8.27/6.19 ((v124(constB145) <=> (~(v90(constB145, bitIndex1) | (~v90(constB145, bitIndex0)) | (~v90(constB145, bitIndex2))))) <=> (v124(constB145) <=> (~(v90(constB145, bitIndex1) | (~v90(constB145, bitIndex2)) | (~v90(constB145, bitIndex0)))))),
% 8.27/6.19 inference(rewrite,[status(thm)],[])).
% 8.27/6.19 tff(19917,plain,
% 8.27/6.19 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB145) <=> (~(v90(constB145, bitIndex1) | (~v90(constB145, bitIndex0)) | (~v90(constB145, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB145) <=> (~(v90(constB145, bitIndex1) | (~v90(constB145, bitIndex2)) | (~v90(constB145, bitIndex0))))))),
% 8.27/6.20 inference(monotonicity,[status(thm)],[19916])).
% 8.27/6.20 tff(19918,plain,
% 8.27/6.20 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB145) <=> (~(v90(constB145, bitIndex1) | (~v90(constB145, bitIndex0)) | (~v90(constB145, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB145) <=> (~(v90(constB145, bitIndex1) | (~v90(constB145, bitIndex2)) | (~v90(constB145, bitIndex0))))))),
% 8.27/6.20 inference(transitivity,[status(thm)],[19917, 19915])).
% 8.27/6.20 tff(19919,plain,
% 8.27/6.20 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB145) <=> (~(v90(constB145, bitIndex1) | (~v90(constB145, bitIndex0)) | (~v90(constB145, bitIndex2)))))),
% 8.27/6.20 inference(quant_inst,[status(thm)],[])).
% 8.27/6.20 tff(19920,plain,
% 8.27/6.20 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB145) <=> (~(v90(constB145, bitIndex1) | (~v90(constB145, bitIndex2)) | (~v90(constB145, bitIndex0)))))),
% 8.27/6.20 inference(modus_ponens,[status(thm)],[19919, 19918])).
% 8.27/6.20 tff(19921,plain,
% 8.27/6.20 (v124(constB145) <=> (~(v90(constB145, bitIndex1) | (~v90(constB145, bitIndex2)) | (~v90(constB145, bitIndex0))))),
% 8.27/6.20 inference(unit_resolution,[status(thm)],[19920, 3613])).
% 8.27/6.20 tff(19922,plain,
% 8.27/6.20 ((((~v90(constB145, bitIndex1)) <=> v90(constB144, bitIndex1)) | ((~v90(constB145, bitIndex2)) <=> v90(constB144, bitIndex2)) | ((~v90(constB145, bitIndex0)) <=> v90(constB144, bitIndex0))) | (~((~v90(constB145, bitIndex1)) <=> v90(constB144, bitIndex1)))),
% 8.27/6.20 inference(tautology,[status(thm)],[])).
% 8.27/6.20 tff(19923,plain,
% 8.27/6.20 (~((~v90(constB145, bitIndex1)) <=> v90(constB144, bitIndex1))),
% 8.27/6.20 inference(unit_resolution,[status(thm)],[19922, 16632])).
% 8.27/6.20 tff(19924,plain,
% 8.27/6.20 ((((~v129(constB144, bitIndex2)) <=> v127(constB143, bitIndex2)) | ((~v129(constB144, bitIndex1)) <=> v127(constB143, bitIndex1)) | ((~v129(constB144, bitIndex0)) <=> v127(constB143, bitIndex0))) | (~((~v129(constB144, bitIndex1)) <=> v127(constB143, bitIndex1)))),
% 8.27/6.20 inference(tautology,[status(thm)],[])).
% 8.27/6.20 tff(19925,plain,
% 8.27/6.20 (~((~v129(constB144, bitIndex1)) <=> v127(constB143, bitIndex1))),
% 8.27/6.20 inference(unit_resolution,[status(thm)],[19924, 16641])).
% 8.27/6.20 tff(19926,plain,
% 8.27/6.20 ((((~v127(constB143, bitIndex2)) <=> v130(constB143, bitIndex2)) | ((~v127(constB143, bitIndex1)) <=> v130(constB143, bitIndex1)) | ((~v127(constB143, bitIndex0)) <=> v130(constB143, bitIndex0))) | (~((~v127(constB143, bitIndex1)) <=> v130(constB143, bitIndex1)))),
% 8.27/6.20 inference(tautology,[status(thm)],[])).
% 8.27/6.20 tff(19927,plain,
% 8.27/6.20 (~((~v127(constB143, bitIndex1)) <=> v130(constB143, bitIndex1))),
% 8.27/6.20 inference(unit_resolution,[status(thm)],[19926, 16655])).
% 8.27/6.20 tff(19928,plain,
% 8.27/6.20 ((v130(constB143, bitIndex0) | (~v130(constB143, bitIndex2)) | (~v130(constB143, bitIndex1))) | v130(constB143, bitIndex1)),
% 8.27/6.20 inference(tautology,[status(thm)],[])).
% 8.27/6.20 tff(19929,plain,
% 8.27/6.20 (v130(constB143, bitIndex1)),
% 8.27/6.20 inference(unit_resolution,[status(thm)],[19928, 19815])).
% 8.27/6.20 tff(19930,plain,
% 8.27/6.20 (((~v127(constB143, bitIndex1)) <=> v130(constB143, bitIndex1)) | v127(constB143, bitIndex1) | (~v130(constB143, bitIndex1))),
% 8.27/6.20 inference(tautology,[status(thm)],[])).
% 8.27/6.20 tff(19931,plain,
% 8.27/6.20 (v127(constB143, bitIndex1)),
% 8.27/6.20 inference(unit_resolution,[status(thm)],[19930, 19929, 19927])).
% 8.27/6.20 tff(19932,plain,
% 8.27/6.20 (((~v129(constB144, bitIndex1)) <=> v127(constB143, bitIndex1)) | v129(constB144, bitIndex1) | (~v127(constB143, bitIndex1))),
% 8.27/6.20 inference(tautology,[status(thm)],[])).
% 8.27/6.20 tff(19933,plain,
% 8.27/6.20 (v129(constB144, bitIndex1)),
% 8.27/6.20 inference(unit_resolution,[status(thm)],[19932, 19931, 19925])).
% 8.27/6.20 tff(19934,plain,
% 8.27/6.20 ((((~v90(constB144, bitIndex2)) <=> v129(constB144, bitIndex2)) | ((~v90(constB144, bitIndex1)) <=> v129(constB144, bitIndex1)) | ((~v90(constB144, bitIndex0)) <=> v129(constB144, bitIndex0))) | (~((~v90(constB144, bitIndex1)) <=> v129(constB144, bitIndex1)))),
% 8.27/6.20 inference(tautology,[status(thm)],[])).
% 8.27/6.20 tff(19935,plain,
% 8.27/6.20 (~((~v90(constB144, bitIndex1)) <=> v129(constB144, bitIndex1))),
% 8.27/6.20 inference(unit_resolution,[status(thm)],[19934, 19904])).
% 8.27/6.20 tff(19936,plain,
% 8.27/6.20 (((~v90(constB144, bitIndex1)) <=> v129(constB144, bitIndex1)) | v90(constB144, bitIndex1) | (~v129(constB144, bitIndex1))),
% 8.27/6.20 inference(tautology,[status(thm)],[])).
% 8.27/6.20 tff(19937,plain,
% 8.27/6.20 (v90(constB144, bitIndex1)),
% 8.27/6.20 inference(unit_resolution,[status(thm)],[19936, 19935, 19933])).
% 8.27/6.20 tff(19938,plain,
% 8.27/6.20 (((~v90(constB145, bitIndex1)) <=> v90(constB144, bitIndex1)) | v90(constB145, bitIndex1) | (~v90(constB144, bitIndex1))),
% 8.27/6.20 inference(tautology,[status(thm)],[])).
% 8.27/6.20 tff(19939,plain,
% 8.27/6.20 (v90(constB145, bitIndex1)),
% 8.27/6.20 inference(unit_resolution,[status(thm)],[19938, 19937, 19923])).
% 8.27/6.20 tff(19940,plain,
% 8.27/6.20 ((v90(constB145, bitIndex1) | (~v90(constB145, bitIndex2)) | (~v90(constB145, bitIndex0))) | (~v90(constB145, bitIndex1))),
% 8.27/6.20 inference(tautology,[status(thm)],[])).
% 8.27/6.20 tff(19941,plain,
% 8.27/6.20 (v90(constB145, bitIndex1) | (~v90(constB145, bitIndex2)) | (~v90(constB145, bitIndex0))),
% 8.27/6.20 inference(unit_resolution,[status(thm)],[19940, 19939])).
% 8.27/6.20 tff(19942,plain,
% 8.27/6.20 ((~(v124(constB145) <=> (~(v90(constB145, bitIndex1) | (~v90(constB145, bitIndex2)) | (~v90(constB145, bitIndex0)))))) | (~v124(constB145)) | (~(v90(constB145, bitIndex1) | (~v90(constB145, bitIndex2)) | (~v90(constB145, bitIndex0))))),
% 8.27/6.20 inference(tautology,[status(thm)],[])).
% 8.27/6.20 tff(19943,plain,
% 8.27/6.20 (~v124(constB145)),
% 8.27/6.20 inference(unit_resolution,[status(thm)],[19942, 19941, 19921])).
% 8.27/6.20 tff(19944,plain,
% 8.27/6.20 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB145) <=> (~(v90(constB145, bitIndex1) | v90(constB145, bitIndex0) | (~v90(constB145, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB145) <=> (~(v90(constB145, bitIndex1) | v90(constB145, bitIndex0) | (~v90(constB145, bitIndex2))))))),
% 8.27/6.20 inference(rewrite,[status(thm)],[])).
% 8.27/6.20 tff(19945,plain,
% 8.27/6.20 ((v123(constB145) <=> (~(v90(constB145, bitIndex0) | v90(constB145, bitIndex1) | (~v90(constB145, bitIndex2))))) <=> (v123(constB145) <=> (~(v90(constB145, bitIndex1) | v90(constB145, bitIndex0) | (~v90(constB145, bitIndex2)))))),
% 8.27/6.20 inference(rewrite,[status(thm)],[])).
% 8.27/6.20 tff(19946,plain,
% 8.27/6.20 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB145) <=> (~(v90(constB145, bitIndex0) | v90(constB145, bitIndex1) | (~v90(constB145, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB145) <=> (~(v90(constB145, bitIndex1) | v90(constB145, bitIndex0) | (~v90(constB145, bitIndex2))))))),
% 8.27/6.20 inference(monotonicity,[status(thm)],[19945])).
% 8.27/6.20 tff(19947,plain,
% 8.27/6.20 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB145) <=> (~(v90(constB145, bitIndex0) | v90(constB145, bitIndex1) | (~v90(constB145, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB145) <=> (~(v90(constB145, bitIndex1) | v90(constB145, bitIndex0) | (~v90(constB145, bitIndex2))))))),
% 8.27/6.20 inference(transitivity,[status(thm)],[19946, 19944])).
% 8.27/6.20 tff(19948,plain,
% 8.27/6.20 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB145) <=> (~(v90(constB145, bitIndex0) | v90(constB145, bitIndex1) | (~v90(constB145, bitIndex2)))))),
% 8.27/6.20 inference(quant_inst,[status(thm)],[])).
% 8.27/6.20 tff(19949,plain,
% 8.27/6.20 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB145) <=> (~(v90(constB145, bitIndex1) | v90(constB145, bitIndex0) | (~v90(constB145, bitIndex2)))))),
% 8.27/6.20 inference(modus_ponens,[status(thm)],[19948, 19947])).
% 8.27/6.20 tff(19950,plain,
% 8.27/6.20 (v123(constB145) <=> (~(v90(constB145, bitIndex1) | v90(constB145, bitIndex0) | (~v90(constB145, bitIndex2))))),
% 8.27/6.20 inference(unit_resolution,[status(thm)],[19949, 800])).
% 8.27/6.20 tff(19951,plain,
% 8.27/6.20 ((v90(constB145, bitIndex1) | v90(constB145, bitIndex0) | (~v90(constB145, bitIndex2))) | (~v90(constB145, bitIndex1))),
% 8.27/6.20 inference(tautology,[status(thm)],[])).
% 8.27/6.20 tff(19952,plain,
% 8.27/6.20 (v90(constB145, bitIndex1) | v90(constB145, bitIndex0) | (~v90(constB145, bitIndex2))),
% 8.27/6.20 inference(unit_resolution,[status(thm)],[19951, 19939])).
% 8.27/6.20 tff(19953,plain,
% 8.27/6.20 ((~(v123(constB145) <=> (~(v90(constB145, bitIndex1) | v90(constB145, bitIndex0) | (~v90(constB145, bitIndex2)))))) | (~v123(constB145)) | (~(v90(constB145, bitIndex1) | v90(constB145, bitIndex0) | (~v90(constB145, bitIndex2))))),
% 8.27/6.20 inference(tautology,[status(thm)],[])).
% 8.27/6.20 tff(19954,plain,
% 8.27/6.20 (~v123(constB145)),
% 8.27/6.20 inference(unit_resolution,[status(thm)],[19953, 19952, 19950])).
% 8.27/6.20 tff(19955,plain,
% 8.27/6.20 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB145) <=> (~(v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB145) <=> (~(v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex0))))))),
% 8.27/6.20 inference(rewrite,[status(thm)],[])).
% 8.27/6.20 tff(19956,plain,
% 8.27/6.20 ((v122(constB145) <=> (~(v90(constB145, bitIndex2) | (~v90(constB145, bitIndex0)) | (~v90(constB145, bitIndex1))))) <=> (v122(constB145) <=> (~(v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex0)))))),
% 8.27/6.20 inference(rewrite,[status(thm)],[])).
% 8.27/6.20 tff(19957,plain,
% 8.27/6.20 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB145) <=> (~(v90(constB145, bitIndex2) | (~v90(constB145, bitIndex0)) | (~v90(constB145, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB145) <=> (~(v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex0))))))),
% 8.27/6.20 inference(monotonicity,[status(thm)],[19956])).
% 8.27/6.20 tff(19958,plain,
% 8.27/6.20 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB145) <=> (~(v90(constB145, bitIndex2) | (~v90(constB145, bitIndex0)) | (~v90(constB145, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB145) <=> (~(v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex0))))))),
% 8.27/6.20 inference(transitivity,[status(thm)],[19957, 19955])).
% 8.27/6.20 tff(19959,plain,
% 8.27/6.20 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB145) <=> (~(v90(constB145, bitIndex2) | (~v90(constB145, bitIndex0)) | (~v90(constB145, bitIndex1)))))),
% 8.27/6.20 inference(quant_inst,[status(thm)],[])).
% 8.27/6.20 tff(19960,plain,
% 8.27/6.20 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB145) <=> (~(v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex0)))))),
% 8.27/6.20 inference(modus_ponens,[status(thm)],[19959, 19958])).
% 8.27/6.20 tff(19961,plain,
% 8.27/6.20 (v122(constB145) <=> (~(v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex0))))),
% 8.27/6.20 inference(unit_resolution,[status(thm)],[19960, 879])).
% 8.27/6.20 tff(19962,plain,
% 8.27/6.20 ((v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex0))) | (~v90(constB145, bitIndex2))),
% 8.27/6.20 inference(tautology,[status(thm)],[])).
% 8.27/6.20 tff(19963,plain,
% 8.27/6.20 (v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex0))),
% 8.27/6.20 inference(unit_resolution,[status(thm)],[19962, 19910])).
% 8.27/6.20 tff(19964,plain,
% 8.27/6.20 ((~(v122(constB145) <=> (~(v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex0)))))) | (~v122(constB145)) | (~(v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex0))))),
% 8.27/6.20 inference(tautology,[status(thm)],[])).
% 8.27/6.20 tff(19965,plain,
% 8.27/6.20 (~v122(constB145)),
% 8.27/6.20 inference(unit_resolution,[status(thm)],[19964, 19963, 19961])).
% 8.27/6.20 tff(19966,plain,
% 8.27/6.20 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB145) <=> (~(v90(constB145, bitIndex2) | v90(constB145, bitIndex0) | (~v90(constB145, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB145) <=> (~(v90(constB145, bitIndex2) | v90(constB145, bitIndex0) | (~v90(constB145, bitIndex1))))))),
% 8.27/6.20 inference(rewrite,[status(thm)],[])).
% 8.27/6.20 tff(19967,plain,
% 8.27/6.20 ((v121(constB145) <=> (~(v90(constB145, bitIndex0) | v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1))))) <=> (v121(constB145) <=> (~(v90(constB145, bitIndex2) | v90(constB145, bitIndex0) | (~v90(constB145, bitIndex1)))))),
% 8.27/6.20 inference(rewrite,[status(thm)],[])).
% 8.27/6.20 tff(19968,plain,
% 8.27/6.20 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB145) <=> (~(v90(constB145, bitIndex0) | v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB145) <=> (~(v90(constB145, bitIndex2) | v90(constB145, bitIndex0) | (~v90(constB145, bitIndex1))))))),
% 8.27/6.20 inference(monotonicity,[status(thm)],[19967])).
% 8.27/6.20 tff(19969,plain,
% 8.27/6.20 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB145) <=> (~(v90(constB145, bitIndex0) | v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB145) <=> (~(v90(constB145, bitIndex2) | v90(constB145, bitIndex0) | (~v90(constB145, bitIndex1))))))),
% 8.27/6.20 inference(transitivity,[status(thm)],[19968, 19966])).
% 8.27/6.20 tff(19970,plain,
% 8.27/6.20 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB145) <=> (~(v90(constB145, bitIndex0) | v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1)))))),
% 8.27/6.20 inference(quant_inst,[status(thm)],[])).
% 8.27/6.20 tff(19971,plain,
% 8.27/6.20 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB145) <=> (~(v90(constB145, bitIndex2) | v90(constB145, bitIndex0) | (~v90(constB145, bitIndex1)))))),
% 8.27/6.20 inference(modus_ponens,[status(thm)],[19970, 19969])).
% 8.27/6.20 tff(19972,plain,
% 8.27/6.20 (v121(constB145) <=> (~(v90(constB145, bitIndex2) | v90(constB145, bitIndex0) | (~v90(constB145, bitIndex1))))),
% 8.27/6.20 inference(unit_resolution,[status(thm)],[19971, 586])).
% 8.27/6.20 tff(19973,plain,
% 8.27/6.20 ((v90(constB145, bitIndex2) | v90(constB145, bitIndex0) | (~v90(constB145, bitIndex1))) | (~v90(constB145, bitIndex2))),
% 8.27/6.20 inference(tautology,[status(thm)],[])).
% 8.27/6.20 tff(19974,plain,
% 8.27/6.20 (v90(constB145, bitIndex2) | v90(constB145, bitIndex0) | (~v90(constB145, bitIndex1))),
% 8.27/6.20 inference(unit_resolution,[status(thm)],[19973, 19910])).
% 8.27/6.20 tff(19975,plain,
% 8.27/6.20 ((~(v121(constB145) <=> (~(v90(constB145, bitIndex2) | v90(constB145, bitIndex0) | (~v90(constB145, bitIndex1)))))) | (~v121(constB145)) | (~(v90(constB145, bitIndex2) | v90(constB145, bitIndex0) | (~v90(constB145, bitIndex1))))),
% 8.27/6.20 inference(tautology,[status(thm)],[])).
% 8.27/6.20 tff(19976,plain,
% 8.27/6.20 (~v121(constB145)),
% 8.27/6.20 inference(unit_resolution,[status(thm)],[19975, 19974, 19972])).
% 8.27/6.20 tff(19977,plain,
% 8.27/6.20 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB145) <=> (~(v90(constB145, bitIndex1) | v90(constB145, bitIndex2) | (~v90(constB145, bitIndex0)))))),
% 8.27/6.20 inference(quant_inst,[status(thm)],[])).
% 8.27/6.20 tff(19978,plain,
% 8.27/6.20 (v120(constB145) <=> (~(v90(constB145, bitIndex1) | v90(constB145, bitIndex2) | (~v90(constB145, bitIndex0))))),
% 8.27/6.20 inference(unit_resolution,[status(thm)],[19977, 665])).
% 8.27/6.20 tff(19979,plain,
% 8.27/6.20 ((v90(constB145, bitIndex1) | v90(constB145, bitIndex2) | (~v90(constB145, bitIndex0))) | (~v90(constB145, bitIndex2))),
% 8.27/6.20 inference(tautology,[status(thm)],[])).
% 8.27/6.20 tff(19980,plain,
% 8.27/6.20 (v90(constB145, bitIndex1) | v90(constB145, bitIndex2) | (~v90(constB145, bitIndex0))),
% 8.27/6.20 inference(unit_resolution,[status(thm)],[19979, 19910])).
% 8.27/6.20 tff(19981,plain,
% 8.27/6.20 ((~(v120(constB145) <=> (~(v90(constB145, bitIndex1) | v90(constB145, bitIndex2) | (~v90(constB145, bitIndex0)))))) | (~v120(constB145)) | (~(v90(constB145, bitIndex1) | v90(constB145, bitIndex2) | (~v90(constB145, bitIndex0))))),
% 8.27/6.20 inference(tautology,[status(thm)],[])).
% 8.27/6.20 tff(19982,plain,
% 8.27/6.20 (~v120(constB145)),
% 8.27/6.20 inference(unit_resolution,[status(thm)],[19981, 19980, 19978])).
% 8.27/6.20 tff(19983,plain,
% 8.27/6.20 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~(v130(constB145, bitIndex2) | v130(constB145, bitIndex1) | (~v130(constB145, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~(v130(constB145, bitIndex2) | v130(constB145, bitIndex1) | (~v130(constB145, bitIndex0)))))),
% 8.27/6.20 inference(rewrite,[status(thm)],[])).
% 8.27/6.20 tff(19984,plain,
% 8.27/6.20 ((v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | (~(v130(constB145, bitIndex2) | v130(constB145, bitIndex1) | (~v130(constB145, bitIndex0))))) <=> (v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~(v130(constB145, bitIndex2) | v130(constB145, bitIndex1) | (~v130(constB145, bitIndex0)))))),
% 8.27/6.20 inference(rewrite,[status(thm)],[])).
% 8.27/6.20 tff(19985,plain,
% 8.27/6.20 ((~(v130(constB145, bitIndex1) | v130(constB145, bitIndex2) | (~v130(constB145, bitIndex0)))) <=> (~(v130(constB145, bitIndex2) | v130(constB145, bitIndex1) | (~v130(constB145, bitIndex0))))),
% 8.27/6.20 inference(rewrite,[status(thm)],[])).
% 8.27/6.20 tff(19986,plain,
% 8.27/6.20 ((v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | (~(v130(constB145, bitIndex1) | v130(constB145, bitIndex2) | (~v130(constB145, bitIndex0))))) <=> (v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | (~(v130(constB145, bitIndex2) | v130(constB145, bitIndex1) | (~v130(constB145, bitIndex0)))))),
% 8.27/6.20 inference(monotonicity,[status(thm)],[19985])).
% 8.27/6.20 tff(19987,plain,
% 8.27/6.20 ((v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | (~(v130(constB145, bitIndex1) | v130(constB145, bitIndex2) | (~v130(constB145, bitIndex0))))) <=> (v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~(v130(constB145, bitIndex2) | v130(constB145, bitIndex1) | (~v130(constB145, bitIndex0)))))),
% 8.27/6.20 inference(transitivity,[status(thm)],[19986, 19984])).
% 8.27/6.20 tff(19988,plain,
% 8.27/6.20 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | (~(v130(constB145, bitIndex1) | v130(constB145, bitIndex2) | (~v130(constB145, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~(v130(constB145, bitIndex2) | v130(constB145, bitIndex1) | (~v130(constB145, bitIndex0))))))),
% 8.27/6.20 inference(monotonicity,[status(thm)],[19987])).
% 8.27/6.20 tff(19989,plain,
% 8.27/6.20 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | (~(v130(constB145, bitIndex1) | v130(constB145, bitIndex2) | (~v130(constB145, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~(v130(constB145, bitIndex2) | v130(constB145, bitIndex1) | (~v130(constB145, bitIndex0)))))),
% 8.27/6.20 inference(transitivity,[status(thm)],[19988, 19983])).
% 8.27/6.20 tff(19990,plain,
% 8.27/6.20 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB145) | v123(constB145) | v122(constB145) | v121(constB145) | v120(constB145) | v119(constB145) | (~(v130(constB145, bitIndex1) | v130(constB145, bitIndex2) | (~v130(constB145, bitIndex0)))))),
% 8.27/6.20 inference(quant_inst,[status(thm)],[])).
% 8.27/6.20 tff(19991,plain,
% 8.27/6.20 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~(v130(constB145, bitIndex2) | v130(constB145, bitIndex1) | (~v130(constB145, bitIndex0))))),
% 8.27/6.20 inference(modus_ponens,[status(thm)],[19990, 19989])).
% 8.27/6.20 tff(19992,plain,
% 8.27/6.20 (v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~(v130(constB145, bitIndex2) | v130(constB145, bitIndex1) | (~v130(constB145, bitIndex0))))),
% 8.27/6.20 inference(unit_resolution,[status(thm)],[19991, 3694])).
% 8.27/6.20 tff(19993,plain,
% 8.27/6.20 (~(v130(constB145, bitIndex2) | v130(constB145, bitIndex1) | (~v130(constB145, bitIndex0)))),
% 8.27/6.20 inference(unit_resolution,[status(thm)],[19992, 19982, 19976, 19965, 19954, 19943, 19914])).
% 8.27/6.20 tff(19994,plain,
% 8.27/6.20 ((v130(constB145, bitIndex2) | v130(constB145, bitIndex1) | (~v130(constB145, bitIndex0))) | (~v130(constB145, bitIndex2))),
% 8.27/6.20 inference(tautology,[status(thm)],[])).
% 8.27/6.20 tff(19995,plain,
% 8.27/6.20 (~v130(constB145, bitIndex2)),
% 8.27/6.20 inference(unit_resolution,[status(thm)],[19994, 19993])).
% 8.27/6.20 tff(19996,plain,
% 8.27/6.20 (((~v127(constB145, bitIndex2)) <=> v130(constB145, bitIndex2)) | (~v127(constB145, bitIndex2)) | v130(constB145, bitIndex2)),
% 8.27/6.20 inference(tautology,[status(thm)],[])).
% 8.27/6.20 tff(19997,plain,
% 8.27/6.20 (~v127(constB145, bitIndex2)),
% 8.27/6.20 inference(unit_resolution,[status(thm)],[19996, 19995, 16596])).
% 8.27/6.20 tff(19998,plain,
% 8.27/6.20 (((~v129(constB146, bitIndex2)) <=> v127(constB145, bitIndex2)) | (~v129(constB146, bitIndex2)) | v127(constB145, bitIndex2)),
% 8.27/6.20 inference(tautology,[status(thm)],[])).
% 8.27/6.20 tff(19999,plain,
% 8.27/6.20 (~v129(constB146, bitIndex2)),
% 8.27/6.20 inference(unit_resolution,[status(thm)],[19998, 19997, 16582])).
% 8.27/6.20 tff(20000,plain,
% 8.27/6.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB145, constB146)) | (v100(constB146) <=> (~((~v101(constB146)) | (~v110(constB146))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB145, constB146)) | (v100(constB146) <=> (~((~v101(constB146)) | (~v110(constB146))))))),
% 8.27/6.20 inference(rewrite,[status(thm)],[])).
% 8.27/6.20 tff(20001,plain,
% 8.27/6.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB145, constB146)) | (v100(constB146) <=> (~((~v101(constB146)) | (~v110(constB146))))))),
% 8.27/6.20 inference(quant_inst,[status(thm)],[])).
% 8.27/6.20 tff(20002,plain,
% 8.27/6.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB145, constB146)) | (v100(constB146) <=> (~((~v101(constB146)) | (~v110(constB146)))))),
% 8.27/6.20 inference(modus_ponens,[status(thm)],[20001, 20000])).
% 8.27/6.20 tff(20003,plain,
% 8.27/6.20 (v100(constB146) <=> (~((~v101(constB146)) | (~v110(constB146))))),
% 8.27/6.20 inference(unit_resolution,[status(thm)],[20002, 16576, 445])).
% 8.27/6.20 tff(20004,plain,
% 8.27/6.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB145, constB146)) | (v101(constB146) <=> (~((~v1(constB146)) | (~v102(constB146))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB145, constB146)) | (v101(constB146) <=> (~((~v1(constB146)) | (~v102(constB146))))))),
% 8.27/6.20 inference(rewrite,[status(thm)],[])).
% 8.27/6.20 tff(20005,plain,
% 8.27/6.20 (((~nextState(constB145, constB146)) | (v101(constB146) <=> (~((~v102(constB146)) | (~v1(constB146)))))) <=> ((~nextState(constB145, constB146)) | (v101(constB146) <=> (~((~v1(constB146)) | (~v102(constB146))))))),
% 8.27/6.20 inference(rewrite,[status(thm)],[])).
% 8.27/6.20 tff(20006,plain,
% 8.27/6.20 (((~![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) <=> (~((~v1(constB146)) | (~v102(constB146)))))))),
% 8.27/6.20 inference(monotonicity,[status(thm)],[20005])).
% 8.27/6.20 tff(20007,plain,
% 8.27/6.20 (((~![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) <=> (~((~v1(constB146)) | (~v102(constB146))))))),
% 8.27/6.20 inference(transitivity,[status(thm)],[20006, 20004])).
% 8.27/6.20 tff(20008,plain,
% 8.27/6.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB145, constB146)) | (v101(constB146) <=> (~((~v102(constB146)) | (~v1(constB146))))))),
% 8.27/6.20 inference(quant_inst,[status(thm)],[])).
% 8.27/6.20 tff(20009,plain,
% 8.27/6.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB145, constB146)) | (v101(constB146) <=> (~((~v1(constB146)) | (~v102(constB146)))))),
% 8.27/6.20 inference(modus_ponens,[status(thm)],[20008, 20007])).
% 8.27/6.20 tff(20010,plain,
% 8.27/6.20 (v101(constB146) <=> (~((~v1(constB146)) | (~v102(constB146))))),
% 8.27/6.20 inference(unit_resolution,[status(thm)],[20009, 16576, 465])).
% 8.27/6.21 tff(20011,plain,
% 8.27/6.21 (((~![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)))),
% 8.27/6.21 inference(rewrite,[status(thm)],[])).
% 8.27/6.21 tff(20012,plain,
% 8.27/6.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB145, constB146)) | ((~v102(constB146)) <=> v104(constB146)))),
% 8.27/6.21 inference(quant_inst,[status(thm)],[])).
% 8.27/6.21 tff(20013,plain,
% 8.27/6.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB145, constB146)) | ((~v102(constB146)) <=> v104(constB146))),
% 8.27/6.21 inference(modus_ponens,[status(thm)],[20012, 20011])).
% 8.27/6.21 tff(20014,plain,
% 8.27/6.21 ((~v102(constB146)) <=> v104(constB146)),
% 8.27/6.21 inference(unit_resolution,[status(thm)],[20013, 16576, 3244])).
% 8.27/6.21 tff(20015,plain,
% 8.27/6.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB145, constB146)) | (v104(constB146) <=> v1(constB145)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB145, constB146)) | (v104(constB146) <=> v1(constB145)))),
% 8.27/6.21 inference(rewrite,[status(thm)],[])).
% 8.27/6.21 tff(20016,plain,
% 8.27/6.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB145, constB146)) | (v104(constB146) <=> v1(constB145)))),
% 8.27/6.21 inference(quant_inst,[status(thm)],[])).
% 8.27/6.21 tff(20017,plain,
% 8.27/6.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB145, constB146)) | (v104(constB146) <=> v1(constB145))),
% 8.27/6.21 inference(modus_ponens,[status(thm)],[20016, 20015])).
% 8.27/6.21 tff(20018,plain,
% 8.27/6.21 (v104(constB146) <=> v1(constB145)),
% 8.27/6.21 inference(unit_resolution,[status(thm)],[20017, 16576, 3258])).
% 8.27/6.21 tff(20019,plain,
% 8.27/6.21 ((~(v104(constB146) <=> v1(constB145))) | (~v104(constB146)) | v1(constB145)),
% 8.27/6.21 inference(tautology,[status(thm)],[])).
% 8.27/6.21 tff(20020,plain,
% 8.27/6.21 ((~(v104(constB146) <=> v1(constB145))) | (~v104(constB146))),
% 8.27/6.21 inference(unit_resolution,[status(thm)],[20019, 16615])).
% 8.27/6.21 tff(20021,plain,
% 8.27/6.21 (~v104(constB146)),
% 8.27/6.21 inference(unit_resolution,[status(thm)],[20020, 20018])).
% 8.27/6.21 tff(20022,plain,
% 8.27/6.21 ((~((~v102(constB146)) <=> v104(constB146))) | v102(constB146) | v104(constB146)),
% 8.27/6.21 inference(tautology,[status(thm)],[])).
% 8.27/6.21 tff(20023,plain,
% 8.27/6.21 (v102(constB146)),
% 8.27/6.21 inference(unit_resolution,[status(thm)],[20022, 20021, 20014])).
% 8.27/6.21 tff(20024,plain,
% 8.27/6.21 (v1(constB146) <=> v1(constB146)),
% 8.27/6.21 inference(rewrite,[status(thm)],[])).
% 8.27/6.21 tff(20025,axiom,(v1(constB146)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_146')).
% 8.27/6.21 tff(20026,plain,
% 8.27/6.21 (v1(constB146)),
% 8.27/6.21 inference(modus_ponens,[status(thm)],[20025, 20024])).
% 8.27/6.21 tff(20027,plain,
% 8.27/6.21 ((~((~v1(constB146)) | (~v102(constB146)))) | (~v1(constB146)) | (~v102(constB146))),
% 8.27/6.21 inference(tautology,[status(thm)],[])).
% 8.27/6.21 tff(20028,plain,
% 8.27/6.21 ((~((~v1(constB146)) | (~v102(constB146)))) | (~v102(constB146))),
% 8.27/6.21 inference(unit_resolution,[status(thm)],[20027, 20026])).
% 8.27/6.21 tff(20029,plain,
% 8.27/6.21 (~((~v1(constB146)) | (~v102(constB146)))),
% 8.27/6.21 inference(unit_resolution,[status(thm)],[20028, 20023])).
% 8.27/6.21 tff(20030,plain,
% 8.27/6.21 ((~(v101(constB146) <=> (~((~v1(constB146)) | (~v102(constB146)))))) | v101(constB146) | ((~v1(constB146)) | (~v102(constB146)))),
% 8.27/6.21 inference(tautology,[status(thm)],[])).
% 8.27/6.21 tff(20031,plain,
% 8.27/6.21 (v101(constB146)),
% 8.27/6.21 inference(unit_resolution,[status(thm)],[20030, 20029, 20010])).
% 8.27/6.21 tff(20032,plain,
% 8.27/6.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB145, constB146)) | (v110(constB146) <=> v108(constB145)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB145, constB146)) | (v110(constB146) <=> v108(constB145)))),
% 8.27/6.21 inference(rewrite,[status(thm)],[])).
% 8.27/6.21 tff(20033,plain,
% 8.27/6.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB145, constB146)) | (v110(constB146) <=> v108(constB145)))),
% 8.27/6.21 inference(quant_inst,[status(thm)],[])).
% 8.27/6.21 tff(20034,plain,
% 8.27/6.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB145, constB146)) | (v110(constB146) <=> v108(constB145))),
% 8.27/6.21 inference(modus_ponens,[status(thm)],[20033, 20032])).
% 8.27/6.21 tff(20035,plain,
% 8.27/6.21 (v110(constB146) <=> v108(constB145)),
% 8.27/6.21 inference(unit_resolution,[status(thm)],[20034, 16576, 3285])).
% 8.27/6.21 tff(20036,plain,
% 8.27/6.21 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB145) <=> (v111(constB145) | v112(constB145)))),
% 8.27/6.21 inference(quant_inst,[status(thm)],[])).
% 8.27/6.21 tff(20037,plain,
% 8.27/6.21 (v108(constB145) <=> (v111(constB145) | v112(constB145))),
% 8.27/6.21 inference(unit_resolution,[status(thm)],[20036, 3296])).
% 8.27/6.21 tff(20038,plain,
% 8.27/6.21 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB145) <=> (~((~v113(constB145)) | (~v126(constB145)))))),
% 8.27/6.21 inference(quant_inst,[status(thm)],[])).
% 8.27/6.21 tff(20039,plain,
% 8.27/6.21 (v112(constB145) <=> (~((~v113(constB145)) | (~v126(constB145))))),
% 8.27/6.21 inference(unit_resolution,[status(thm)],[20038, 3308])).
% 8.27/6.21 tff(20040,plain,
% 8.27/6.21 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB145) <=> (v114(constB145) | v125(constB145)))),
% 8.27/6.21 inference(quant_inst,[status(thm)],[])).
% 8.27/6.21 tff(20041,plain,
% 8.27/6.21 (v113(constB145) <=> (v114(constB145) | v125(constB145))),
% 8.27/6.21 inference(unit_resolution,[status(thm)],[20040, 3317])).
% 8.27/6.21 tff(20042,plain,
% 8.27/6.21 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB145) <=> (~(v90(constB145, bitIndex0) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex2)))))),
% 8.27/6.21 inference(quant_inst,[status(thm)],[])).
% 8.27/6.21 tff(20043,plain,
% 8.27/6.21 (v125(constB145) <=> (~(v90(constB145, bitIndex0) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex2))))),
% 8.27/6.21 inference(unit_resolution,[status(thm)],[20042, 3766])).
% 8.27/6.21 tff(20044,plain,
% 8.27/6.21 ((((~v90(constB145, bitIndex1)) <=> v90(constB144, bitIndex1)) | ((~v90(constB145, bitIndex2)) <=> v90(constB144, bitIndex2)) | ((~v90(constB145, bitIndex0)) <=> v90(constB144, bitIndex0))) | (~((~v90(constB145, bitIndex0)) <=> v90(constB144, bitIndex0)))),
% 8.27/6.21 inference(tautology,[status(thm)],[])).
% 8.27/6.21 tff(20045,plain,
% 8.27/6.21 (~((~v90(constB145, bitIndex0)) <=> v90(constB144, bitIndex0))),
% 8.27/6.21 inference(unit_resolution,[status(thm)],[20044, 16632])).
% 8.27/6.21 tff(20046,plain,
% 8.27/6.21 ((((~v129(constB144, bitIndex2)) <=> v127(constB143, bitIndex2)) | ((~v129(constB144, bitIndex1)) <=> v127(constB143, bitIndex1)) | ((~v129(constB144, bitIndex0)) <=> v127(constB143, bitIndex0))) | (~((~v129(constB144, bitIndex0)) <=> v127(constB143, bitIndex0)))),
% 8.27/6.21 inference(tautology,[status(thm)],[])).
% 8.27/6.21 tff(20047,plain,
% 8.27/6.21 (~((~v129(constB144, bitIndex0)) <=> v127(constB143, bitIndex0))),
% 8.27/6.21 inference(unit_resolution,[status(thm)],[20046, 16641])).
% 8.27/6.21 tff(20048,plain,
% 8.27/6.21 ((((~v127(constB143, bitIndex2)) <=> v130(constB143, bitIndex2)) | ((~v127(constB143, bitIndex1)) <=> v130(constB143, bitIndex1)) | ((~v127(constB143, bitIndex0)) <=> v130(constB143, bitIndex0))) | (~((~v127(constB143, bitIndex0)) <=> v130(constB143, bitIndex0)))),
% 8.27/6.21 inference(tautology,[status(thm)],[])).
% 8.27/6.21 tff(20049,plain,
% 8.27/6.21 (~((~v127(constB143, bitIndex0)) <=> v130(constB143, bitIndex0))),
% 8.27/6.21 inference(unit_resolution,[status(thm)],[20048, 16655])).
% 8.27/6.21 tff(20050,plain,
% 8.27/6.21 ((v130(constB143, bitIndex0) | (~v130(constB143, bitIndex2)) | (~v130(constB143, bitIndex1))) | (~v130(constB143, bitIndex0))),
% 8.27/6.21 inference(tautology,[status(thm)],[])).
% 8.27/6.21 tff(20051,plain,
% 8.27/6.21 (~v130(constB143, bitIndex0)),
% 8.27/6.21 inference(unit_resolution,[status(thm)],[20050, 19815])).
% 8.27/6.21 tff(20052,plain,
% 8.27/6.21 (((~v127(constB143, bitIndex0)) <=> v130(constB143, bitIndex0)) | (~v127(constB143, bitIndex0)) | v130(constB143, bitIndex0)),
% 8.27/6.21 inference(tautology,[status(thm)],[])).
% 8.27/6.21 tff(20053,plain,
% 8.27/6.21 (~v127(constB143, bitIndex0)),
% 8.27/6.21 inference(unit_resolution,[status(thm)],[20052, 20051, 20049])).
% 8.27/6.21 tff(20054,plain,
% 8.27/6.21 (((~v129(constB144, bitIndex0)) <=> v127(constB143, bitIndex0)) | (~v129(constB144, bitIndex0)) | v127(constB143, bitIndex0)),
% 8.27/6.21 inference(tautology,[status(thm)],[])).
% 8.27/6.21 tff(20055,plain,
% 8.27/6.21 (~v129(constB144, bitIndex0)),
% 8.27/6.21 inference(unit_resolution,[status(thm)],[20054, 20053, 20047])).
% 8.27/6.21 tff(20056,plain,
% 8.27/6.21 ((((~v90(constB144, bitIndex2)) <=> v129(constB144, bitIndex2)) | ((~v90(constB144, bitIndex1)) <=> v129(constB144, bitIndex1)) | ((~v90(constB144, bitIndex0)) <=> v129(constB144, bitIndex0))) | (~((~v90(constB144, bitIndex0)) <=> v129(constB144, bitIndex0)))),
% 8.27/6.21 inference(tautology,[status(thm)],[])).
% 8.27/6.21 tff(20057,plain,
% 8.27/6.21 (~((~v90(constB144, bitIndex0)) <=> v129(constB144, bitIndex0))),
% 8.27/6.21 inference(unit_resolution,[status(thm)],[20056, 19904])).
% 8.27/6.21 tff(20058,plain,
% 8.27/6.21 (((~v90(constB144, bitIndex0)) <=> v129(constB144, bitIndex0)) | (~v90(constB144, bitIndex0)) | v129(constB144, bitIndex0)),
% 8.27/6.21 inference(tautology,[status(thm)],[])).
% 8.27/6.21 tff(20059,plain,
% 8.27/6.21 (~v90(constB144, bitIndex0)),
% 8.27/6.21 inference(unit_resolution,[status(thm)],[20058, 20057, 20055])).
% 8.27/6.21 tff(20060,plain,
% 8.27/6.21 (((~v90(constB145, bitIndex0)) <=> v90(constB144, bitIndex0)) | (~v90(constB145, bitIndex0)) | v90(constB144, bitIndex0)),
% 8.27/6.21 inference(tautology,[status(thm)],[])).
% 8.27/6.21 tff(20061,plain,
% 8.27/6.21 (~v90(constB145, bitIndex0)),
% 8.27/6.21 inference(unit_resolution,[status(thm)],[20060, 20059, 20045])).
% 8.27/6.21 tff(20062,plain,
% 8.27/6.21 ((~(v90(constB145, bitIndex0) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex2)))) | v90(constB145, bitIndex0) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex2))),
% 8.27/6.21 inference(tautology,[status(thm)],[])).
% 8.27/6.21 tff(20063,plain,
% 8.27/6.21 (~(v90(constB145, bitIndex0) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex2)))),
% 8.27/6.21 inference(unit_resolution,[status(thm)],[20062, 19939, 20061, 19910])).
% 8.27/6.21 tff(20064,plain,
% 8.27/6.21 ((~(v125(constB145) <=> (~(v90(constB145, bitIndex0) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex2)))))) | v125(constB145) | (v90(constB145, bitIndex0) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex2)))),
% 8.27/6.21 inference(tautology,[status(thm)],[])).
% 8.27/6.21 tff(20065,plain,
% 8.27/6.21 (v125(constB145)),
% 8.27/6.21 inference(unit_resolution,[status(thm)],[20064, 20063, 20043])).
% 8.27/6.21 tff(20066,plain,
% 8.27/6.21 ((v114(constB145) | v125(constB145)) | (~v125(constB145))),
% 8.27/6.21 inference(tautology,[status(thm)],[])).
% 8.27/6.21 tff(20067,plain,
% 8.27/6.21 (v114(constB145) | v125(constB145)),
% 8.27/6.21 inference(unit_resolution,[status(thm)],[20066, 20065])).
% 8.27/6.21 tff(20068,plain,
% 8.27/6.21 ((~(v113(constB145) <=> (v114(constB145) | v125(constB145)))) | v113(constB145) | (~(v114(constB145) | v125(constB145)))),
% 8.27/6.21 inference(tautology,[status(thm)],[])).
% 8.27/6.21 tff(20069,plain,
% 8.27/6.21 (v113(constB145)),
% 8.27/6.21 inference(unit_resolution,[status(thm)],[20068, 20067, 20041])).
% 8.27/6.21 tff(20070,plain,
% 8.27/6.21 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB145)) <=> v111(constB145))),
% 8.27/6.21 inference(quant_inst,[status(thm)],[])).
% 8.27/6.21 tff(20071,plain,
% 8.27/6.21 ((~v126(constB145)) <=> v111(constB145)),
% 8.27/6.21 inference(unit_resolution,[status(thm)],[20070, 3396])).
% 8.27/6.21 tff(20072,plain,
% 8.27/6.21 ((~((~v126(constB145)) <=> v111(constB145))) | v126(constB145) | v111(constB145)),
% 8.27/6.21 inference(tautology,[status(thm)],[])).
% 8.27/6.21 tff(20073,plain,
% 8.27/6.21 ((~((~v126(constB145)) <=> v111(constB145))) | v126(constB145)),
% 8.27/6.21 inference(unit_resolution,[status(thm)],[20072, 16589])).
% 8.27/6.21 tff(20074,plain,
% 8.27/6.21 (v126(constB145)),
% 8.27/6.21 inference(unit_resolution,[status(thm)],[20073, 20071])).
% 8.27/6.21 tff(20075,plain,
% 8.27/6.21 ((~((~v113(constB145)) | (~v126(constB145)))) | (~v113(constB145)) | (~v126(constB145))),
% 8.27/6.21 inference(tautology,[status(thm)],[])).
% 8.27/6.21 tff(20076,plain,
% 8.27/6.21 ((~((~v113(constB145)) | (~v126(constB145)))) | (~v113(constB145))),
% 8.27/6.21 inference(unit_resolution,[status(thm)],[20075, 20074])).
% 8.27/6.21 tff(20077,plain,
% 8.27/6.21 (~((~v113(constB145)) | (~v126(constB145)))),
% 8.27/6.21 inference(unit_resolution,[status(thm)],[20076, 20069])).
% 8.27/6.21 tff(20078,plain,
% 8.27/6.21 ((~(v112(constB145) <=> (~((~v113(constB145)) | (~v126(constB145)))))) | v112(constB145) | ((~v113(constB145)) | (~v126(constB145)))),
% 8.27/6.21 inference(tautology,[status(thm)],[])).
% 8.27/6.21 tff(20079,plain,
% 8.27/6.21 (v112(constB145)),
% 8.27/6.21 inference(unit_resolution,[status(thm)],[20078, 20077, 20039])).
% 8.27/6.21 tff(20080,plain,
% 8.27/6.21 ((v111(constB145) | v112(constB145)) | (~v112(constB145))),
% 8.27/6.21 inference(tautology,[status(thm)],[])).
% 8.27/6.21 tff(20081,plain,
% 8.27/6.21 (v111(constB145) | v112(constB145)),
% 8.27/6.21 inference(unit_resolution,[status(thm)],[20080, 20079])).
% 8.27/6.21 tff(20082,plain,
% 8.27/6.21 ((~(v108(constB145) <=> (v111(constB145) | v112(constB145)))) | v108(constB145) | (~(v111(constB145) | v112(constB145)))),
% 8.27/6.21 inference(tautology,[status(thm)],[])).
% 8.27/6.21 tff(20083,plain,
% 8.27/6.21 (v108(constB145)),
% 8.27/6.21 inference(unit_resolution,[status(thm)],[20082, 20081, 20037])).
% 8.27/6.21 tff(20084,plain,
% 8.27/6.21 ((~(v110(constB146) <=> v108(constB145))) | v110(constB146) | (~v108(constB145))),
% 8.27/6.21 inference(tautology,[status(thm)],[])).
% 8.27/6.21 tff(20085,plain,
% 8.27/6.21 (v110(constB146)),
% 8.27/6.21 inference(unit_resolution,[status(thm)],[20084, 20083, 20035])).
% 8.27/6.21 tff(20086,plain,
% 8.27/6.21 ((~((~v101(constB146)) | (~v110(constB146)))) | (~v101(constB146)) | (~v110(constB146))),
% 8.27/6.21 inference(tautology,[status(thm)],[])).
% 8.27/6.21 tff(20087,plain,
% 8.27/6.21 (~((~v101(constB146)) | (~v110(constB146)))),
% 8.27/6.21 inference(unit_resolution,[status(thm)],[20086, 20085, 20031])).
% 8.27/6.21 tff(20088,plain,
% 8.27/6.21 ((~(v100(constB146) <=> (~((~v101(constB146)) | (~v110(constB146)))))) | v100(constB146) | ((~v101(constB146)) | (~v110(constB146)))),
% 8.27/6.21 inference(tautology,[status(thm)],[])).
% 8.27/6.21 tff(20089,plain,
% 8.27/6.21 (v100(constB146)),
% 8.27/6.21 inference(unit_resolution,[status(thm)],[20088, 20087, 20003])).
% 8.27/6.21 tff(20090,plain,
% 8.27/6.21 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB146)) | (~(((~v90(constB146, bitIndex0)) <=> v129(constB146, bitIndex0)) | ((~v90(constB146, bitIndex2)) <=> v129(constB146, bitIndex2)) | ((~v90(constB146, bitIndex1)) <=> v129(constB146, bitIndex1)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB146)) | (~(((~v90(constB146, bitIndex0)) <=> v129(constB146, bitIndex0)) | ((~v90(constB146, bitIndex2)) <=> v129(constB146, bitIndex2)) | ((~v90(constB146, bitIndex1)) <=> v129(constB146, bitIndex1)))))),
% 8.27/6.21 inference(rewrite,[status(thm)],[])).
% 8.27/6.21 tff(20091,plain,
% 8.27/6.21 (((~v100(constB146)) | (~(((~v90(constB146, bitIndex2)) <=> v129(constB146, bitIndex2)) | ((~v90(constB146, bitIndex1)) <=> v129(constB146, bitIndex1)) | ((~v90(constB146, bitIndex0)) <=> v129(constB146, bitIndex0))))) <=> ((~v100(constB146)) | (~(((~v90(constB146, bitIndex0)) <=> v129(constB146, bitIndex0)) | ((~v90(constB146, bitIndex2)) <=> v129(constB146, bitIndex2)) | ((~v90(constB146, bitIndex1)) <=> v129(constB146, bitIndex1)))))),
% 8.27/6.21 inference(rewrite,[status(thm)],[])).
% 8.27/6.21 tff(20092,plain,
% 8.27/6.21 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB146)) | (~(((~v90(constB146, bitIndex2)) <=> v129(constB146, bitIndex2)) | ((~v90(constB146, bitIndex1)) <=> v129(constB146, bitIndex1)) | ((~v90(constB146, bitIndex0)) <=> v129(constB146, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB146)) | (~(((~v90(constB146, bitIndex0)) <=> v129(constB146, bitIndex0)) | ((~v90(constB146, bitIndex2)) <=> v129(constB146, bitIndex2)) | ((~v90(constB146, bitIndex1)) <=> v129(constB146, bitIndex1))))))),
% 8.27/6.21 inference(monotonicity,[status(thm)],[20091])).
% 8.27/6.21 tff(20093,plain,
% 8.27/6.21 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB146)) | (~(((~v90(constB146, bitIndex2)) <=> v129(constB146, bitIndex2)) | ((~v90(constB146, bitIndex1)) <=> v129(constB146, bitIndex1)) | ((~v90(constB146, bitIndex0)) <=> v129(constB146, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB146)) | (~(((~v90(constB146, bitIndex0)) <=> v129(constB146, bitIndex0)) | ((~v90(constB146, bitIndex2)) <=> v129(constB146, bitIndex2)) | ((~v90(constB146, bitIndex1)) <=> v129(constB146, bitIndex1)))))),
% 8.27/6.21 inference(transitivity,[status(thm)],[20092, 20090])).
% 8.27/6.21 tff(20094,plain,
% 8.27/6.21 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB146)) | (~(((~v90(constB146, bitIndex2)) <=> v129(constB146, bitIndex2)) | ((~v90(constB146, bitIndex1)) <=> v129(constB146, bitIndex1)) | ((~v90(constB146, bitIndex0)) <=> v129(constB146, bitIndex0)))))),
% 8.27/6.21 inference(quant_inst,[status(thm)],[])).
% 8.27/6.21 tff(20095,plain,
% 8.27/6.21 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB146)) | (~(((~v90(constB146, bitIndex0)) <=> v129(constB146, bitIndex0)) | ((~v90(constB146, bitIndex2)) <=> v129(constB146, bitIndex2)) | ((~v90(constB146, bitIndex1)) <=> v129(constB146, bitIndex1))))),
% 8.27/6.21 inference(modus_ponens,[status(thm)],[20094, 20093])).
% 8.27/6.21 tff(20096,plain,
% 8.27/6.21 ((~v100(constB146)) | (~(((~v90(constB146, bitIndex0)) <=> v129(constB146, bitIndex0)) | ((~v90(constB146, bitIndex2)) <=> v129(constB146, bitIndex2)) | ((~v90(constB146, bitIndex1)) <=> v129(constB146, bitIndex1))))),
% 8.27/6.21 inference(unit_resolution,[status(thm)],[20095, 3429])).
% 8.27/6.21 tff(20097,plain,
% 8.27/6.21 (~(((~v90(constB146, bitIndex0)) <=> v129(constB146, bitIndex0)) | ((~v90(constB146, bitIndex2)) <=> v129(constB146, bitIndex2)) | ((~v90(constB146, bitIndex1)) <=> v129(constB146, bitIndex1)))),
% 8.27/6.21 inference(unit_resolution,[status(thm)],[20096, 20089])).
% 8.27/6.21 tff(20098,plain,
% 8.27/6.21 ((((~v90(constB146, bitIndex0)) <=> v129(constB146, bitIndex0)) | ((~v90(constB146, bitIndex2)) <=> v129(constB146, bitIndex2)) | ((~v90(constB146, bitIndex1)) <=> v129(constB146, bitIndex1))) | (~((~v90(constB146, bitIndex2)) <=> v129(constB146, bitIndex2)))),
% 8.27/6.21 inference(tautology,[status(thm)],[])).
% 8.27/6.21 tff(20099,plain,
% 8.27/6.21 (~((~v90(constB146, bitIndex2)) <=> v129(constB146, bitIndex2))),
% 8.27/6.21 inference(unit_resolution,[status(thm)],[20098, 20097])).
% 8.27/6.21 tff(20100,plain,
% 8.27/6.21 (((~v90(constB146, bitIndex2)) <=> v129(constB146, bitIndex2)) | (~v90(constB146, bitIndex2)) | v129(constB146, bitIndex2)),
% 8.27/6.21 inference(tautology,[status(thm)],[])).
% 8.27/6.21 tff(20101,plain,
% 8.27/6.21 (~v90(constB146, bitIndex2)),
% 8.27/6.21 inference(unit_resolution,[status(thm)],[20100, 20099, 19999])).
% 8.27/6.21 tff(20102,plain,
% 8.27/6.21 (((~v90(constB147, bitIndex2)) <=> v90(constB146, bitIndex2)) | (~v90(constB147, bitIndex2)) | v90(constB146, bitIndex2)),
% 8.27/6.21 inference(tautology,[status(thm)],[])).
% 8.27/6.21 tff(20103,plain,
% 8.27/6.21 (~v90(constB147, bitIndex2)),
% 8.27/6.21 inference(unit_resolution,[status(thm)],[20102, 20101, 16573])).
% 8.27/6.21 tff(20104,plain,
% 8.27/6.21 ((((~v90(constB147, bitIndex1)) <=> v90(constB146, bitIndex1)) | ((~v90(constB147, bitIndex2)) <=> v90(constB146, bitIndex2)) | ((~v90(constB147, bitIndex0)) <=> v90(constB146, bitIndex0))) | (~((~v90(constB147, bitIndex0)) <=> v90(constB146, bitIndex0)))),
% 8.27/6.21 inference(tautology,[status(thm)],[])).
% 8.27/6.21 tff(20105,plain,
% 8.27/6.21 (~((~v90(constB147, bitIndex0)) <=> v90(constB146, bitIndex0))),
% 8.27/6.21 inference(unit_resolution,[status(thm)],[20104, 16571])).
% 8.27/6.21 tff(20106,plain,
% 8.27/6.21 ((((~v129(constB146, bitIndex2)) <=> v127(constB145, bitIndex2)) | ((~v129(constB146, bitIndex1)) <=> v127(constB145, bitIndex1)) | ((~v129(constB146, bitIndex0)) <=> v127(constB145, bitIndex0))) | (~((~v129(constB146, bitIndex0)) <=> v127(constB145, bitIndex0)))),
% 8.27/6.21 inference(tautology,[status(thm)],[])).
% 8.27/6.21 tff(20107,plain,
% 8.27/6.21 (~((~v129(constB146, bitIndex0)) <=> v127(constB145, bitIndex0))),
% 8.27/6.21 inference(unit_resolution,[status(thm)],[20106, 16580])).
% 8.27/6.21 tff(20108,plain,
% 8.27/6.21 ((((~v127(constB145, bitIndex2)) <=> v130(constB145, bitIndex2)) | ((~v127(constB145, bitIndex1)) <=> v130(constB145, bitIndex1)) | ((~v127(constB145, bitIndex0)) <=> v130(constB145, bitIndex0))) | (~((~v127(constB145, bitIndex0)) <=> v130(constB145, bitIndex0)))),
% 8.27/6.21 inference(tautology,[status(thm)],[])).
% 8.27/6.21 tff(20109,plain,
% 8.27/6.21 (~((~v127(constB145, bitIndex0)) <=> v130(constB145, bitIndex0))),
% 8.27/6.21 inference(unit_resolution,[status(thm)],[20108, 16594])).
% 8.27/6.21 tff(20110,plain,
% 8.27/6.21 ((v130(constB145, bitIndex2) | v130(constB145, bitIndex1) | (~v130(constB145, bitIndex0))) | v130(constB145, bitIndex0)),
% 8.27/6.21 inference(tautology,[status(thm)],[])).
% 8.27/6.21 tff(20111,plain,
% 8.27/6.21 (v130(constB145, bitIndex0)),
% 8.27/6.21 inference(unit_resolution,[status(thm)],[20110, 19993])).
% 8.27/6.21 tff(20112,plain,
% 8.27/6.21 (((~v127(constB145, bitIndex0)) <=> v130(constB145, bitIndex0)) | v127(constB145, bitIndex0) | (~v130(constB145, bitIndex0))),
% 8.27/6.21 inference(tautology,[status(thm)],[])).
% 8.27/6.21 tff(20113,plain,
% 8.27/6.21 (v127(constB145, bitIndex0)),
% 8.27/6.21 inference(unit_resolution,[status(thm)],[20112, 20111, 20109])).
% 8.27/6.21 tff(20114,plain,
% 8.27/6.21 (((~v129(constB146, bitIndex0)) <=> v127(constB145, bitIndex0)) | v129(constB146, bitIndex0) | (~v127(constB145, bitIndex0))),
% 8.27/6.21 inference(tautology,[status(thm)],[])).
% 8.27/6.21 tff(20115,plain,
% 8.27/6.21 (v129(constB146, bitIndex0)),
% 8.27/6.21 inference(unit_resolution,[status(thm)],[20114, 20113, 20107])).
% 8.27/6.21 tff(20116,plain,
% 8.27/6.21 ((((~v90(constB146, bitIndex0)) <=> v129(constB146, bitIndex0)) | ((~v90(constB146, bitIndex2)) <=> v129(constB146, bitIndex2)) | ((~v90(constB146, bitIndex1)) <=> v129(constB146, bitIndex1))) | (~((~v90(constB146, bitIndex0)) <=> v129(constB146, bitIndex0)))),
% 8.27/6.21 inference(tautology,[status(thm)],[])).
% 8.27/6.21 tff(20117,plain,
% 8.27/6.21 (~((~v90(constB146, bitIndex0)) <=> v129(constB146, bitIndex0))),
% 8.27/6.21 inference(unit_resolution,[status(thm)],[20116, 20097])).
% 8.27/6.21 tff(20118,plain,
% 8.27/6.21 (((~v90(constB146, bitIndex0)) <=> v129(constB146, bitIndex0)) | v90(constB146, bitIndex0) | (~v129(constB146, bitIndex0))),
% 8.27/6.21 inference(tautology,[status(thm)],[])).
% 8.27/6.21 tff(20119,plain,
% 8.27/6.21 (v90(constB146, bitIndex0)),
% 8.27/6.21 inference(unit_resolution,[status(thm)],[20118, 20117, 20115])).
% 8.27/6.21 tff(20120,plain,
% 8.27/6.21 (((~v90(constB147, bitIndex0)) <=> v90(constB146, bitIndex0)) | v90(constB147, bitIndex0) | (~v90(constB146, bitIndex0))),
% 8.27/6.21 inference(tautology,[status(thm)],[])).
% 8.27/6.21 tff(20121,plain,
% 8.27/6.21 (v90(constB147, bitIndex0)),
% 8.27/6.21 inference(unit_resolution,[status(thm)],[20120, 20119, 20105])).
% 8.27/6.21 tff(20122,plain,
% 8.27/6.21 ((((~v90(constB147, bitIndex1)) <=> v90(constB146, bitIndex1)) | ((~v90(constB147, bitIndex2)) <=> v90(constB146, bitIndex2)) | ((~v90(constB147, bitIndex0)) <=> v90(constB146, bitIndex0))) | (~((~v90(constB147, bitIndex1)) <=> v90(constB146, bitIndex1)))),
% 8.27/6.21 inference(tautology,[status(thm)],[])).
% 8.27/6.21 tff(20123,plain,
% 8.27/6.21 (~((~v90(constB147, bitIndex1)) <=> v90(constB146, bitIndex1))),
% 8.27/6.21 inference(unit_resolution,[status(thm)],[20122, 16571])).
% 8.27/6.21 tff(20124,plain,
% 8.27/6.21 ((((~v129(constB146, bitIndex2)) <=> v127(constB145, bitIndex2)) | ((~v129(constB146, bitIndex1)) <=> v127(constB145, bitIndex1)) | ((~v129(constB146, bitIndex0)) <=> v127(constB145, bitIndex0))) | (~((~v129(constB146, bitIndex1)) <=> v127(constB145, bitIndex1)))),
% 8.27/6.21 inference(tautology,[status(thm)],[])).
% 8.27/6.21 tff(20125,plain,
% 8.27/6.21 (~((~v129(constB146, bitIndex1)) <=> v127(constB145, bitIndex1))),
% 8.27/6.21 inference(unit_resolution,[status(thm)],[20124, 16580])).
% 8.27/6.21 tff(20126,plain,
% 8.27/6.21 ((((~v127(constB145, bitIndex2)) <=> v130(constB145, bitIndex2)) | ((~v127(constB145, bitIndex1)) <=> v130(constB145, bitIndex1)) | ((~v127(constB145, bitIndex0)) <=> v130(constB145, bitIndex0))) | (~((~v127(constB145, bitIndex1)) <=> v130(constB145, bitIndex1)))),
% 8.27/6.21 inference(tautology,[status(thm)],[])).
% 8.27/6.21 tff(20127,plain,
% 8.27/6.21 (~((~v127(constB145, bitIndex1)) <=> v130(constB145, bitIndex1))),
% 8.27/6.21 inference(unit_resolution,[status(thm)],[20126, 16594])).
% 8.27/6.21 tff(20128,plain,
% 8.27/6.21 ((v130(constB145, bitIndex2) | v130(constB145, bitIndex1) | (~v130(constB145, bitIndex0))) | (~v130(constB145, bitIndex1))),
% 8.27/6.21 inference(tautology,[status(thm)],[])).
% 8.27/6.21 tff(20129,plain,
% 8.27/6.21 (~v130(constB145, bitIndex1)),
% 8.27/6.21 inference(unit_resolution,[status(thm)],[20128, 19993])).
% 8.27/6.21 tff(20130,plain,
% 8.27/6.21 (((~v127(constB145, bitIndex1)) <=> v130(constB145, bitIndex1)) | (~v127(constB145, bitIndex1)) | v130(constB145, bitIndex1)),
% 8.27/6.21 inference(tautology,[status(thm)],[])).
% 8.27/6.21 tff(20131,plain,
% 8.27/6.21 (~v127(constB145, bitIndex1)),
% 8.27/6.21 inference(unit_resolution,[status(thm)],[20130, 20129, 20127])).
% 8.27/6.21 tff(20132,plain,
% 8.27/6.21 (((~v129(constB146, bitIndex1)) <=> v127(constB145, bitIndex1)) | (~v129(constB146, bitIndex1)) | v127(constB145, bitIndex1)),
% 8.27/6.21 inference(tautology,[status(thm)],[])).
% 8.27/6.21 tff(20133,plain,
% 8.27/6.21 (~v129(constB146, bitIndex1)),
% 8.27/6.21 inference(unit_resolution,[status(thm)],[20132, 20131, 20125])).
% 8.27/6.21 tff(20134,plain,
% 8.27/6.21 ((((~v90(constB146, bitIndex0)) <=> v129(constB146, bitIndex0)) | ((~v90(constB146, bitIndex2)) <=> v129(constB146, bitIndex2)) | ((~v90(constB146, bitIndex1)) <=> v129(constB146, bitIndex1))) | (~((~v90(constB146, bitIndex1)) <=> v129(constB146, bitIndex1)))),
% 8.27/6.21 inference(tautology,[status(thm)],[])).
% 8.27/6.21 tff(20135,plain,
% 8.27/6.21 (~((~v90(constB146, bitIndex1)) <=> v129(constB146, bitIndex1))),
% 8.27/6.21 inference(unit_resolution,[status(thm)],[20134, 20097])).
% 8.27/6.21 tff(20136,plain,
% 8.27/6.21 (((~v90(constB146, bitIndex1)) <=> v129(constB146, bitIndex1)) | (~v90(constB146, bitIndex1)) | v129(constB146, bitIndex1)),
% 8.27/6.21 inference(tautology,[status(thm)],[])).
% 8.27/6.21 tff(20137,plain,
% 8.27/6.21 (~v90(constB146, bitIndex1)),
% 8.27/6.21 inference(unit_resolution,[status(thm)],[20136, 20135, 20133])).
% 8.27/6.21 tff(20138,plain,
% 8.27/6.21 (((~v90(constB147, bitIndex1)) <=> v90(constB146, bitIndex1)) | (~v90(constB147, bitIndex1)) | v90(constB146, bitIndex1)),
% 8.27/6.21 inference(tautology,[status(thm)],[])).
% 8.27/6.21 tff(20139,plain,
% 8.27/6.21 (~v90(constB147, bitIndex1)),
% 8.27/6.21 inference(unit_resolution,[status(thm)],[20138, 20137, 20123])).
% 8.27/6.21 tff(20140,plain,
% 8.27/6.21 ((~(v90(constB147, bitIndex1) | v90(constB147, bitIndex2) | (~v90(constB147, bitIndex0)))) | v90(constB147, bitIndex1) | v90(constB147, bitIndex2) | (~v90(constB147, bitIndex0))),
% 8.27/6.21 inference(tautology,[status(thm)],[])).
% 8.27/6.21 tff(20141,plain,
% 8.27/6.21 (~(v90(constB147, bitIndex1) | v90(constB147, bitIndex2) | (~v90(constB147, bitIndex0)))),
% 8.27/6.21 inference(unit_resolution,[status(thm)],[20140, 20139, 20121, 20103])).
% 8.27/6.21 tff(20142,plain,
% 8.27/6.21 ((~(v120(constB147) <=> (~(v90(constB147, bitIndex1) | v90(constB147, bitIndex2) | (~v90(constB147, bitIndex0)))))) | v120(constB147) | (v90(constB147, bitIndex1) | v90(constB147, bitIndex2) | (~v90(constB147, bitIndex0)))),
% 8.27/6.21 inference(tautology,[status(thm)],[])).
% 8.27/6.21 tff(20143,plain,
% 8.27/6.21 (v120(constB147)),
% 8.27/6.21 inference(unit_resolution,[status(thm)],[20142, 20141, 16537])).
% 8.27/6.21 tff(20144,plain,
% 8.27/6.21 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB147)) | (~(v130(constB147, bitIndex2) | v130(constB147, bitIndex0) | (~v130(constB147, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB147)) | (~(v130(constB147, bitIndex2) | v130(constB147, bitIndex0) | (~v130(constB147, bitIndex1)))))),
% 8.27/6.21 inference(rewrite,[status(thm)],[])).
% 8.27/6.21 tff(20145,plain,
% 8.27/6.21 (((~v120(constB147)) | (~(v130(constB147, bitIndex0) | v130(constB147, bitIndex2) | (~v130(constB147, bitIndex1))))) <=> ((~v120(constB147)) | (~(v130(constB147, bitIndex2) | v130(constB147, bitIndex0) | (~v130(constB147, bitIndex1)))))),
% 8.30/6.22 inference(rewrite,[status(thm)],[])).
% 8.30/6.22 tff(20146,plain,
% 8.30/6.22 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB147)) | (~(v130(constB147, bitIndex0) | v130(constB147, bitIndex2) | (~v130(constB147, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB147)) | (~(v130(constB147, bitIndex2) | v130(constB147, bitIndex0) | (~v130(constB147, bitIndex1))))))),
% 8.30/6.22 inference(monotonicity,[status(thm)],[20145])).
% 8.30/6.22 tff(20147,plain,
% 8.30/6.22 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB147)) | (~(v130(constB147, bitIndex0) | v130(constB147, bitIndex2) | (~v130(constB147, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB147)) | (~(v130(constB147, bitIndex2) | v130(constB147, bitIndex0) | (~v130(constB147, bitIndex1)))))),
% 8.30/6.22 inference(transitivity,[status(thm)],[20146, 20144])).
% 8.30/6.22 tff(20148,plain,
% 8.30/6.22 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB147)) | (~(v130(constB147, bitIndex0) | v130(constB147, bitIndex2) | (~v130(constB147, bitIndex1)))))),
% 8.30/6.22 inference(quant_inst,[status(thm)],[])).
% 8.30/6.22 tff(20149,plain,
% 8.30/6.22 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB147)) | (~(v130(constB147, bitIndex2) | v130(constB147, bitIndex0) | (~v130(constB147, bitIndex1))))),
% 8.30/6.22 inference(modus_ponens,[status(thm)],[20148, 20147])).
% 8.30/6.22 tff(20150,plain,
% 8.30/6.22 ((~v120(constB147)) | (~(v130(constB147, bitIndex2) | v130(constB147, bitIndex0) | (~v130(constB147, bitIndex1))))),
% 8.30/6.22 inference(unit_resolution,[status(thm)],[20149, 3881])).
% 8.30/6.22 tff(20151,plain,
% 8.30/6.22 (~(v130(constB147, bitIndex2) | v130(constB147, bitIndex0) | (~v130(constB147, bitIndex1)))),
% 8.30/6.22 inference(unit_resolution,[status(thm)],[20150, 20143])).
% 8.30/6.22 tff(20152,plain,
% 8.30/6.22 ((v130(constB147, bitIndex2) | v130(constB147, bitIndex0) | (~v130(constB147, bitIndex1))) | (~v130(constB147, bitIndex2))),
% 8.30/6.22 inference(tautology,[status(thm)],[])).
% 8.30/6.22 tff(20153,plain,
% 8.30/6.22 (~v130(constB147, bitIndex2)),
% 8.30/6.22 inference(unit_resolution,[status(thm)],[20152, 20151])).
% 8.30/6.22 tff(20154,plain,
% 8.30/6.22 (((~v127(constB147, bitIndex2)) <=> v130(constB147, bitIndex2)) | (~v127(constB147, bitIndex2)) | v130(constB147, bitIndex2)),
% 8.30/6.22 inference(tautology,[status(thm)],[])).
% 8.30/6.22 tff(20155,plain,
% 8.30/6.22 (~v127(constB147, bitIndex2)),
% 8.30/6.22 inference(unit_resolution,[status(thm)],[20154, 20153, 16535])).
% 8.30/6.22 tff(20156,plain,
% 8.30/6.22 (((~v129(constB148, bitIndex2)) <=> v127(constB147, bitIndex2)) | (~v129(constB148, bitIndex2)) | v127(constB147, bitIndex2)),
% 8.30/6.22 inference(tautology,[status(thm)],[])).
% 8.30/6.22 tff(20157,plain,
% 8.30/6.22 (~v129(constB148, bitIndex2)),
% 8.30/6.22 inference(unit_resolution,[status(thm)],[20156, 20155, 16521])).
% 8.30/6.22 tff(20158,plain,
% 8.30/6.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB147, constB148)) | (v100(constB148) <=> (~((~v101(constB148)) | (~v110(constB148))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB147, constB148)) | (v100(constB148) <=> (~((~v101(constB148)) | (~v110(constB148))))))),
% 8.30/6.22 inference(rewrite,[status(thm)],[])).
% 8.30/6.22 tff(20159,plain,
% 8.30/6.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB147, constB148)) | (v100(constB148) <=> (~((~v101(constB148)) | (~v110(constB148))))))),
% 8.30/6.22 inference(quant_inst,[status(thm)],[])).
% 8.30/6.22 tff(20160,plain,
% 8.30/6.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB147, constB148)) | (v100(constB148) <=> (~((~v101(constB148)) | (~v110(constB148)))))),
% 8.30/6.22 inference(modus_ponens,[status(thm)],[20159, 20158])).
% 8.30/6.22 tff(20161,plain,
% 8.30/6.22 (v100(constB148) <=> (~((~v101(constB148)) | (~v110(constB148))))),
% 8.30/6.22 inference(unit_resolution,[status(thm)],[20160, 16515, 445])).
% 8.30/6.22 tff(20162,plain,
% 8.30/6.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB147, constB148)) | (v101(constB148) <=> (~((~v1(constB148)) | (~v102(constB148))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB147, constB148)) | (v101(constB148) <=> (~((~v1(constB148)) | (~v102(constB148))))))),
% 8.30/6.22 inference(rewrite,[status(thm)],[])).
% 8.30/6.22 tff(20163,plain,
% 8.30/6.22 (((~nextState(constB147, constB148)) | (v101(constB148) <=> (~((~v102(constB148)) | (~v1(constB148)))))) <=> ((~nextState(constB147, constB148)) | (v101(constB148) <=> (~((~v1(constB148)) | (~v102(constB148))))))),
% 8.30/6.22 inference(rewrite,[status(thm)],[])).
% 8.30/6.22 tff(20164,plain,
% 8.30/6.22 (((~![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) <=> (~((~v1(constB148)) | (~v102(constB148)))))))),
% 8.30/6.22 inference(monotonicity,[status(thm)],[20163])).
% 8.30/6.22 tff(20165,plain,
% 8.30/6.22 (((~![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) <=> (~((~v1(constB148)) | (~v102(constB148))))))),
% 8.30/6.22 inference(transitivity,[status(thm)],[20164, 20162])).
% 8.30/6.22 tff(20166,plain,
% 8.30/6.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB147, constB148)) | (v101(constB148) <=> (~((~v102(constB148)) | (~v1(constB148))))))),
% 8.30/6.22 inference(quant_inst,[status(thm)],[])).
% 8.30/6.22 tff(20167,plain,
% 8.30/6.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB147, constB148)) | (v101(constB148) <=> (~((~v1(constB148)) | (~v102(constB148)))))),
% 8.30/6.22 inference(modus_ponens,[status(thm)],[20166, 20165])).
% 8.30/6.22 tff(20168,plain,
% 8.30/6.22 (v101(constB148) <=> (~((~v1(constB148)) | (~v102(constB148))))),
% 8.30/6.22 inference(unit_resolution,[status(thm)],[20167, 16515, 465])).
% 8.30/6.22 tff(20169,plain,
% 8.30/6.22 (((~![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)))),
% 8.30/6.22 inference(rewrite,[status(thm)],[])).
% 8.30/6.22 tff(20170,plain,
% 8.30/6.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB147, constB148)) | ((~v102(constB148)) <=> v104(constB148)))),
% 8.30/6.22 inference(quant_inst,[status(thm)],[])).
% 8.30/6.22 tff(20171,plain,
% 8.30/6.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB147, constB148)) | ((~v102(constB148)) <=> v104(constB148))),
% 8.30/6.22 inference(modus_ponens,[status(thm)],[20170, 20169])).
% 8.30/6.22 tff(20172,plain,
% 8.30/6.22 ((~v102(constB148)) <=> v104(constB148)),
% 8.30/6.22 inference(unit_resolution,[status(thm)],[20171, 16515, 3244])).
% 8.30/6.22 tff(20173,plain,
% 8.30/6.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB147, constB148)) | (v104(constB148) <=> v1(constB147)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB147, constB148)) | (v104(constB148) <=> v1(constB147)))),
% 8.30/6.22 inference(rewrite,[status(thm)],[])).
% 8.30/6.22 tff(20174,plain,
% 8.30/6.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB147, constB148)) | (v104(constB148) <=> v1(constB147)))),
% 8.30/6.22 inference(quant_inst,[status(thm)],[])).
% 8.30/6.22 tff(20175,plain,
% 8.30/6.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB147, constB148)) | (v104(constB148) <=> v1(constB147))),
% 8.30/6.22 inference(modus_ponens,[status(thm)],[20174, 20173])).
% 8.30/6.22 tff(20176,plain,
% 8.30/6.22 (v104(constB148) <=> v1(constB147)),
% 8.30/6.22 inference(unit_resolution,[status(thm)],[20175, 16515, 3258])).
% 8.30/6.22 tff(20177,plain,
% 8.30/6.22 ((~(v104(constB148) <=> v1(constB147))) | (~v104(constB148)) | v1(constB147)),
% 8.30/6.22 inference(tautology,[status(thm)],[])).
% 8.30/6.22 tff(20178,plain,
% 8.30/6.22 ((~(v104(constB148) <=> v1(constB147))) | (~v104(constB148))),
% 8.30/6.22 inference(unit_resolution,[status(thm)],[20177, 16554])).
% 8.30/6.22 tff(20179,plain,
% 8.30/6.22 (~v104(constB148)),
% 8.30/6.22 inference(unit_resolution,[status(thm)],[20178, 20176])).
% 8.30/6.22 tff(20180,plain,
% 8.30/6.22 ((~((~v102(constB148)) <=> v104(constB148))) | v102(constB148) | v104(constB148)),
% 8.30/6.22 inference(tautology,[status(thm)],[])).
% 8.30/6.22 tff(20181,plain,
% 8.30/6.22 (v102(constB148)),
% 8.30/6.22 inference(unit_resolution,[status(thm)],[20180, 20179, 20172])).
% 8.30/6.22 tff(20182,plain,
% 8.30/6.22 (v1(constB148) <=> v1(constB148)),
% 8.30/6.22 inference(rewrite,[status(thm)],[])).
% 8.30/6.22 tff(20183,axiom,(v1(constB148)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_148')).
% 8.30/6.22 tff(20184,plain,
% 8.30/6.22 (v1(constB148)),
% 8.30/6.22 inference(modus_ponens,[status(thm)],[20183, 20182])).
% 8.30/6.22 tff(20185,plain,
% 8.30/6.22 ((~((~v1(constB148)) | (~v102(constB148)))) | (~v1(constB148)) | (~v102(constB148))),
% 8.30/6.22 inference(tautology,[status(thm)],[])).
% 8.30/6.22 tff(20186,plain,
% 8.30/6.22 ((~((~v1(constB148)) | (~v102(constB148)))) | (~v102(constB148))),
% 8.30/6.22 inference(unit_resolution,[status(thm)],[20185, 20184])).
% 8.30/6.22 tff(20187,plain,
% 8.30/6.22 (~((~v1(constB148)) | (~v102(constB148)))),
% 8.30/6.22 inference(unit_resolution,[status(thm)],[20186, 20181])).
% 8.30/6.22 tff(20188,plain,
% 8.30/6.22 ((~(v101(constB148) <=> (~((~v1(constB148)) | (~v102(constB148)))))) | v101(constB148) | ((~v1(constB148)) | (~v102(constB148)))),
% 8.30/6.22 inference(tautology,[status(thm)],[])).
% 8.30/6.22 tff(20189,plain,
% 8.30/6.22 (v101(constB148)),
% 8.30/6.22 inference(unit_resolution,[status(thm)],[20188, 20187, 20168])).
% 8.30/6.22 tff(20190,plain,
% 8.30/6.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB147, constB148)) | (v110(constB148) <=> v108(constB147)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB147, constB148)) | (v110(constB148) <=> v108(constB147)))),
% 8.30/6.22 inference(rewrite,[status(thm)],[])).
% 8.30/6.22 tff(20191,plain,
% 8.30/6.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB147, constB148)) | (v110(constB148) <=> v108(constB147)))),
% 8.30/6.22 inference(quant_inst,[status(thm)],[])).
% 8.30/6.22 tff(20192,plain,
% 8.30/6.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB147, constB148)) | (v110(constB148) <=> v108(constB147))),
% 8.30/6.22 inference(modus_ponens,[status(thm)],[20191, 20190])).
% 8.30/6.22 tff(20193,plain,
% 8.30/6.22 (v110(constB148) <=> v108(constB147)),
% 8.30/6.22 inference(unit_resolution,[status(thm)],[20192, 16515, 3285])).
% 8.30/6.22 tff(20194,plain,
% 8.30/6.22 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB147) <=> (v111(constB147) | v112(constB147)))),
% 8.30/6.22 inference(quant_inst,[status(thm)],[])).
% 8.30/6.22 tff(20195,plain,
% 8.30/6.22 (v108(constB147) <=> (v111(constB147) | v112(constB147))),
% 8.30/6.22 inference(unit_resolution,[status(thm)],[20194, 3296])).
% 8.30/6.22 tff(20196,plain,
% 8.30/6.22 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB147) <=> (~((~v113(constB147)) | (~v126(constB147)))))),
% 8.30/6.22 inference(quant_inst,[status(thm)],[])).
% 8.30/6.22 tff(20197,plain,
% 8.30/6.22 (v112(constB147) <=> (~((~v113(constB147)) | (~v126(constB147))))),
% 8.30/6.22 inference(unit_resolution,[status(thm)],[20196, 3308])).
% 8.30/6.22 tff(20198,plain,
% 8.30/6.22 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB147) <=> (v114(constB147) | v125(constB147)))),
% 8.30/6.22 inference(quant_inst,[status(thm)],[])).
% 8.30/6.22 tff(20199,plain,
% 8.30/6.22 (v113(constB147) <=> (v114(constB147) | v125(constB147))),
% 8.30/6.22 inference(unit_resolution,[status(thm)],[20198, 3317])).
% 8.30/6.22 tff(20200,plain,
% 8.30/6.22 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB147) <=> (v115(constB147) | v124(constB147)))),
% 8.30/6.22 inference(quant_inst,[status(thm)],[])).
% 8.30/6.22 tff(20201,plain,
% 8.30/6.22 (v114(constB147) <=> (v115(constB147) | v124(constB147))),
% 8.30/6.22 inference(unit_resolution,[status(thm)],[20200, 3326])).
% 8.30/6.22 tff(20202,plain,
% 8.30/6.22 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB147) <=> (v116(constB147) | v123(constB147)))),
% 8.30/6.22 inference(quant_inst,[status(thm)],[])).
% 8.30/6.22 tff(20203,plain,
% 8.30/6.22 (v115(constB147) <=> (v116(constB147) | v123(constB147))),
% 8.30/6.22 inference(unit_resolution,[status(thm)],[20202, 3335])).
% 8.30/6.22 tff(20204,plain,
% 8.30/6.22 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB147) <=> (v117(constB147) | v122(constB147)))),
% 8.30/6.22 inference(quant_inst,[status(thm)],[])).
% 8.30/6.22 tff(20205,plain,
% 8.30/6.22 (v116(constB147) <=> (v117(constB147) | v122(constB147))),
% 8.30/6.22 inference(unit_resolution,[status(thm)],[20204, 3344])).
% 8.30/6.22 tff(20206,plain,
% 8.30/6.22 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB147) <=> (v118(constB147) | v121(constB147)))),
% 8.30/6.22 inference(quant_inst,[status(thm)],[])).
% 8.30/6.22 tff(20207,plain,
% 8.30/6.22 (v117(constB147) <=> (v118(constB147) | v121(constB147))),
% 8.30/6.22 inference(unit_resolution,[status(thm)],[20206, 3353])).
% 8.30/6.22 tff(20208,plain,
% 8.30/6.22 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB147) <=> (v119(constB147) | v120(constB147)))),
% 8.30/6.22 inference(quant_inst,[status(thm)],[])).
% 8.30/6.22 tff(20209,plain,
% 8.30/6.22 (v118(constB147) <=> (v119(constB147) | v120(constB147))),
% 8.30/6.22 inference(unit_resolution,[status(thm)],[20208, 3362])).
% 8.30/6.22 tff(20210,plain,
% 8.30/6.22 ((v119(constB147) | v120(constB147)) | (~v120(constB147))),
% 8.30/6.22 inference(tautology,[status(thm)],[])).
% 8.30/6.22 tff(20211,plain,
% 8.30/6.22 (v119(constB147) | v120(constB147)),
% 8.30/6.22 inference(unit_resolution,[status(thm)],[20210, 20143])).
% 8.30/6.22 tff(20212,plain,
% 8.30/6.22 ((~(v118(constB147) <=> (v119(constB147) | v120(constB147)))) | v118(constB147) | (~(v119(constB147) | v120(constB147)))),
% 8.30/6.22 inference(tautology,[status(thm)],[])).
% 8.30/6.22 tff(20213,plain,
% 8.30/6.22 (v118(constB147)),
% 8.30/6.22 inference(unit_resolution,[status(thm)],[20212, 20211, 20209])).
% 8.30/6.22 tff(20214,plain,
% 8.30/6.22 ((v118(constB147) | v121(constB147)) | (~v118(constB147))),
% 8.30/6.22 inference(tautology,[status(thm)],[])).
% 8.30/6.22 tff(20215,plain,
% 8.30/6.22 (v118(constB147) | v121(constB147)),
% 8.30/6.22 inference(unit_resolution,[status(thm)],[20214, 20213])).
% 8.30/6.22 tff(20216,plain,
% 8.30/6.22 ((~(v117(constB147) <=> (v118(constB147) | v121(constB147)))) | v117(constB147) | (~(v118(constB147) | v121(constB147)))),
% 8.30/6.22 inference(tautology,[status(thm)],[])).
% 8.30/6.22 tff(20217,plain,
% 8.30/6.22 (v117(constB147)),
% 8.30/6.22 inference(unit_resolution,[status(thm)],[20216, 20215, 20207])).
% 8.30/6.22 tff(20218,plain,
% 8.30/6.22 ((v117(constB147) | v122(constB147)) | (~v117(constB147))),
% 8.30/6.22 inference(tautology,[status(thm)],[])).
% 8.30/6.22 tff(20219,plain,
% 8.30/6.22 (v117(constB147) | v122(constB147)),
% 8.30/6.22 inference(unit_resolution,[status(thm)],[20218, 20217])).
% 8.30/6.22 tff(20220,plain,
% 8.30/6.22 ((~(v116(constB147) <=> (v117(constB147) | v122(constB147)))) | v116(constB147) | (~(v117(constB147) | v122(constB147)))),
% 8.30/6.22 inference(tautology,[status(thm)],[])).
% 8.30/6.22 tff(20221,plain,
% 8.30/6.22 (v116(constB147)),
% 8.30/6.22 inference(unit_resolution,[status(thm)],[20220, 20219, 20205])).
% 8.30/6.22 tff(20222,plain,
% 8.30/6.22 ((v116(constB147) | v123(constB147)) | (~v116(constB147))),
% 8.30/6.22 inference(tautology,[status(thm)],[])).
% 8.30/6.22 tff(20223,plain,
% 8.30/6.22 (v116(constB147) | v123(constB147)),
% 8.30/6.22 inference(unit_resolution,[status(thm)],[20222, 20221])).
% 8.30/6.22 tff(20224,plain,
% 8.30/6.22 ((~(v115(constB147) <=> (v116(constB147) | v123(constB147)))) | v115(constB147) | (~(v116(constB147) | v123(constB147)))),
% 8.30/6.22 inference(tautology,[status(thm)],[])).
% 8.30/6.22 tff(20225,plain,
% 8.30/6.22 (v115(constB147)),
% 8.30/6.22 inference(unit_resolution,[status(thm)],[20224, 20223, 20203])).
% 8.30/6.22 tff(20226,plain,
% 8.30/6.22 ((v115(constB147) | v124(constB147)) | (~v115(constB147))),
% 8.30/6.22 inference(tautology,[status(thm)],[])).
% 8.30/6.22 tff(20227,plain,
% 8.30/6.22 (v115(constB147) | v124(constB147)),
% 8.30/6.22 inference(unit_resolution,[status(thm)],[20226, 20225])).
% 8.30/6.22 tff(20228,plain,
% 8.30/6.22 ((~(v114(constB147) <=> (v115(constB147) | v124(constB147)))) | v114(constB147) | (~(v115(constB147) | v124(constB147)))),
% 8.30/6.22 inference(tautology,[status(thm)],[])).
% 8.30/6.22 tff(20229,plain,
% 8.30/6.22 (v114(constB147)),
% 8.30/6.22 inference(unit_resolution,[status(thm)],[20228, 20227, 20201])).
% 8.30/6.22 tff(20230,plain,
% 8.30/6.22 ((v114(constB147) | v125(constB147)) | (~v114(constB147))),
% 8.30/6.22 inference(tautology,[status(thm)],[])).
% 8.30/6.22 tff(20231,plain,
% 8.30/6.22 (v114(constB147) | v125(constB147)),
% 8.30/6.22 inference(unit_resolution,[status(thm)],[20230, 20229])).
% 8.30/6.22 tff(20232,plain,
% 8.30/6.22 ((~(v113(constB147) <=> (v114(constB147) | v125(constB147)))) | v113(constB147) | (~(v114(constB147) | v125(constB147)))),
% 8.30/6.22 inference(tautology,[status(thm)],[])).
% 8.30/6.22 tff(20233,plain,
% 8.30/6.22 (v113(constB147)),
% 8.30/6.22 inference(unit_resolution,[status(thm)],[20232, 20231, 20199])).
% 8.30/6.22 tff(20234,plain,
% 8.30/6.22 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB147)) <=> v111(constB147))),
% 8.30/6.22 inference(quant_inst,[status(thm)],[])).
% 8.30/6.22 tff(20235,plain,
% 8.30/6.22 ((~v126(constB147)) <=> v111(constB147)),
% 8.30/6.22 inference(unit_resolution,[status(thm)],[20234, 3396])).
% 8.30/6.22 tff(20236,plain,
% 8.30/6.22 ((~((~v126(constB147)) <=> v111(constB147))) | v126(constB147) | v111(constB147)),
% 8.30/6.22 inference(tautology,[status(thm)],[])).
% 8.30/6.22 tff(20237,plain,
% 8.30/6.22 ((~((~v126(constB147)) <=> v111(constB147))) | v126(constB147)),
% 8.30/6.22 inference(unit_resolution,[status(thm)],[20236, 16528])).
% 8.30/6.22 tff(20238,plain,
% 8.30/6.22 (v126(constB147)),
% 8.30/6.22 inference(unit_resolution,[status(thm)],[20237, 20235])).
% 8.30/6.22 tff(20239,plain,
% 8.30/6.22 ((~((~v113(constB147)) | (~v126(constB147)))) | (~v113(constB147)) | (~v126(constB147))),
% 8.30/6.22 inference(tautology,[status(thm)],[])).
% 8.30/6.22 tff(20240,plain,
% 8.30/6.22 ((~((~v113(constB147)) | (~v126(constB147)))) | (~v113(constB147))),
% 8.30/6.22 inference(unit_resolution,[status(thm)],[20239, 20238])).
% 8.30/6.22 tff(20241,plain,
% 8.30/6.22 (~((~v113(constB147)) | (~v126(constB147)))),
% 8.30/6.22 inference(unit_resolution,[status(thm)],[20240, 20233])).
% 8.30/6.22 tff(20242,plain,
% 8.30/6.22 ((~(v112(constB147) <=> (~((~v113(constB147)) | (~v126(constB147)))))) | v112(constB147) | ((~v113(constB147)) | (~v126(constB147)))),
% 8.30/6.22 inference(tautology,[status(thm)],[])).
% 8.30/6.22 tff(20243,plain,
% 8.30/6.22 (v112(constB147)),
% 8.30/6.22 inference(unit_resolution,[status(thm)],[20242, 20241, 20197])).
% 8.30/6.22 tff(20244,plain,
% 8.30/6.22 ((v111(constB147) | v112(constB147)) | (~v112(constB147))),
% 8.30/6.22 inference(tautology,[status(thm)],[])).
% 8.30/6.22 tff(20245,plain,
% 8.30/6.22 (v111(constB147) | v112(constB147)),
% 8.30/6.22 inference(unit_resolution,[status(thm)],[20244, 20243])).
% 8.30/6.22 tff(20246,plain,
% 8.30/6.22 ((~(v108(constB147) <=> (v111(constB147) | v112(constB147)))) | v108(constB147) | (~(v111(constB147) | v112(constB147)))),
% 8.30/6.22 inference(tautology,[status(thm)],[])).
% 8.30/6.22 tff(20247,plain,
% 8.30/6.22 (v108(constB147)),
% 8.30/6.22 inference(unit_resolution,[status(thm)],[20246, 20245, 20195])).
% 8.30/6.22 tff(20248,plain,
% 8.30/6.22 ((~(v110(constB148) <=> v108(constB147))) | v110(constB148) | (~v108(constB147))),
% 8.30/6.22 inference(tautology,[status(thm)],[])).
% 8.30/6.22 tff(20249,plain,
% 8.30/6.22 (v110(constB148)),
% 8.30/6.22 inference(unit_resolution,[status(thm)],[20248, 20247, 20193])).
% 8.30/6.22 tff(20250,plain,
% 8.30/6.22 ((~((~v101(constB148)) | (~v110(constB148)))) | (~v101(constB148)) | (~v110(constB148))),
% 8.30/6.22 inference(tautology,[status(thm)],[])).
% 8.30/6.22 tff(20251,plain,
% 8.30/6.22 (~((~v101(constB148)) | (~v110(constB148)))),
% 8.30/6.22 inference(unit_resolution,[status(thm)],[20250, 20249, 20189])).
% 8.30/6.22 tff(20252,plain,
% 8.30/6.22 ((~(v100(constB148) <=> (~((~v101(constB148)) | (~v110(constB148)))))) | v100(constB148) | ((~v101(constB148)) | (~v110(constB148)))),
% 8.30/6.22 inference(tautology,[status(thm)],[])).
% 8.30/6.22 tff(20253,plain,
% 8.30/6.22 (v100(constB148)),
% 8.30/6.22 inference(unit_resolution,[status(thm)],[20252, 20251, 20161])).
% 8.30/6.22 tff(20254,plain,
% 8.30/6.22 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB148)) | (~(((~v90(constB148, bitIndex2)) <=> v129(constB148, bitIndex2)) | ((~v90(constB148, bitIndex1)) <=> v129(constB148, bitIndex1)) | ((~v90(constB148, bitIndex0)) <=> v129(constB148, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB148)) | (~(((~v90(constB148, bitIndex2)) <=> v129(constB148, bitIndex2)) | ((~v90(constB148, bitIndex1)) <=> v129(constB148, bitIndex1)) | ((~v90(constB148, bitIndex0)) <=> v129(constB148, bitIndex0)))))),
% 8.30/6.22 inference(rewrite,[status(thm)],[])).
% 8.30/6.22 tff(20255,plain,
% 8.30/6.22 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB148)) | (~(((~v90(constB148, bitIndex2)) <=> v129(constB148, bitIndex2)) | ((~v90(constB148, bitIndex1)) <=> v129(constB148, bitIndex1)) | ((~v90(constB148, bitIndex0)) <=> v129(constB148, bitIndex0)))))),
% 8.30/6.22 inference(quant_inst,[status(thm)],[])).
% 8.30/6.22 tff(20256,plain,
% 8.30/6.22 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB148)) | (~(((~v90(constB148, bitIndex2)) <=> v129(constB148, bitIndex2)) | ((~v90(constB148, bitIndex1)) <=> v129(constB148, bitIndex1)) | ((~v90(constB148, bitIndex0)) <=> v129(constB148, bitIndex0))))),
% 8.30/6.22 inference(modus_ponens,[status(thm)],[20255, 20254])).
% 8.30/6.22 tff(20257,plain,
% 8.30/6.22 ((~v100(constB148)) | (~(((~v90(constB148, bitIndex2)) <=> v129(constB148, bitIndex2)) | ((~v90(constB148, bitIndex1)) <=> v129(constB148, bitIndex1)) | ((~v90(constB148, bitIndex0)) <=> v129(constB148, bitIndex0))))),
% 8.30/6.22 inference(unit_resolution,[status(thm)],[20256, 3429])).
% 8.30/6.22 tff(20258,plain,
% 8.30/6.22 (~(((~v90(constB148, bitIndex2)) <=> v129(constB148, bitIndex2)) | ((~v90(constB148, bitIndex1)) <=> v129(constB148, bitIndex1)) | ((~v90(constB148, bitIndex0)) <=> v129(constB148, bitIndex0)))),
% 8.30/6.22 inference(unit_resolution,[status(thm)],[20257, 20253])).
% 8.30/6.22 tff(20259,plain,
% 8.30/6.22 ((((~v90(constB148, bitIndex2)) <=> v129(constB148, bitIndex2)) | ((~v90(constB148, bitIndex1)) <=> v129(constB148, bitIndex1)) | ((~v90(constB148, bitIndex0)) <=> v129(constB148, bitIndex0))) | (~((~v90(constB148, bitIndex2)) <=> v129(constB148, bitIndex2)))),
% 8.30/6.22 inference(tautology,[status(thm)],[])).
% 8.30/6.22 tff(20260,plain,
% 8.30/6.22 (~((~v90(constB148, bitIndex2)) <=> v129(constB148, bitIndex2))),
% 8.30/6.22 inference(unit_resolution,[status(thm)],[20259, 20258])).
% 8.30/6.22 tff(20261,plain,
% 8.30/6.22 (((~v90(constB148, bitIndex2)) <=> v129(constB148, bitIndex2)) | (~v90(constB148, bitIndex2)) | v129(constB148, bitIndex2)),
% 8.30/6.22 inference(tautology,[status(thm)],[])).
% 8.30/6.22 tff(20262,plain,
% 8.30/6.22 (~v90(constB148, bitIndex2)),
% 8.30/6.22 inference(unit_resolution,[status(thm)],[20261, 20260, 20157])).
% 8.30/6.22 tff(20263,plain,
% 8.30/6.22 (((~v90(constB149, bitIndex2)) <=> v90(constB148, bitIndex2)) | (~v90(constB149, bitIndex2)) | v90(constB148, bitIndex2)),
% 8.30/6.22 inference(tautology,[status(thm)],[])).
% 8.30/6.22 tff(20264,plain,
% 8.30/6.22 (~v90(constB149, bitIndex2)),
% 8.30/6.22 inference(unit_resolution,[status(thm)],[20263, 20262, 16512])).
% 8.30/6.22 tff(20265,plain,
% 8.30/6.22 ((((~v90(constB149, bitIndex1)) <=> v90(constB148, bitIndex1)) | ((~v90(constB149, bitIndex2)) <=> v90(constB148, bitIndex2)) | ((~v90(constB149, bitIndex0)) <=> v90(constB148, bitIndex0))) | (~((~v90(constB149, bitIndex0)) <=> v90(constB148, bitIndex0)))),
% 8.30/6.22 inference(tautology,[status(thm)],[])).
% 8.30/6.22 tff(20266,plain,
% 8.30/6.22 (~((~v90(constB149, bitIndex0)) <=> v90(constB148, bitIndex0))),
% 8.30/6.22 inference(unit_resolution,[status(thm)],[20265, 16510])).
% 8.30/6.22 tff(20267,plain,
% 8.30/6.22 ((((~v129(constB148, bitIndex2)) <=> v127(constB147, bitIndex2)) | ((~v129(constB148, bitIndex1)) <=> v127(constB147, bitIndex1)) | ((~v129(constB148, bitIndex0)) <=> v127(constB147, bitIndex0))) | (~((~v129(constB148, bitIndex0)) <=> v127(constB147, bitIndex0)))),
% 8.30/6.22 inference(tautology,[status(thm)],[])).
% 8.30/6.22 tff(20268,plain,
% 8.30/6.22 (~((~v129(constB148, bitIndex0)) <=> v127(constB147, bitIndex0))),
% 8.30/6.22 inference(unit_resolution,[status(thm)],[20267, 16519])).
% 8.30/6.22 tff(20269,plain,
% 8.30/6.22 ((((~v127(constB147, bitIndex2)) <=> v130(constB147, bitIndex2)) | ((~v127(constB147, bitIndex1)) <=> v130(constB147, bitIndex1)) | ((~v127(constB147, bitIndex0)) <=> v130(constB147, bitIndex0))) | (~((~v127(constB147, bitIndex0)) <=> v130(constB147, bitIndex0)))),
% 8.30/6.22 inference(tautology,[status(thm)],[])).
% 8.30/6.22 tff(20270,plain,
% 8.30/6.22 (~((~v127(constB147, bitIndex0)) <=> v130(constB147, bitIndex0))),
% 8.30/6.22 inference(unit_resolution,[status(thm)],[20269, 16533])).
% 8.30/6.22 tff(20271,plain,
% 8.30/6.22 ((v130(constB147, bitIndex2) | v130(constB147, bitIndex0) | (~v130(constB147, bitIndex1))) | (~v130(constB147, bitIndex0))),
% 8.30/6.22 inference(tautology,[status(thm)],[])).
% 8.30/6.22 tff(20272,plain,
% 8.30/6.22 (~v130(constB147, bitIndex0)),
% 8.30/6.22 inference(unit_resolution,[status(thm)],[20271, 20151])).
% 8.30/6.22 tff(20273,plain,
% 8.30/6.22 (((~v127(constB147, bitIndex0)) <=> v130(constB147, bitIndex0)) | (~v127(constB147, bitIndex0)) | v130(constB147, bitIndex0)),
% 8.30/6.22 inference(tautology,[status(thm)],[])).
% 8.30/6.22 tff(20274,plain,
% 8.30/6.22 (~v127(constB147, bitIndex0)),
% 8.30/6.22 inference(unit_resolution,[status(thm)],[20273, 20272, 20270])).
% 8.30/6.22 tff(20275,plain,
% 8.30/6.22 (((~v129(constB148, bitIndex0)) <=> v127(constB147, bitIndex0)) | (~v129(constB148, bitIndex0)) | v127(constB147, bitIndex0)),
% 8.30/6.22 inference(tautology,[status(thm)],[])).
% 8.30/6.22 tff(20276,plain,
% 8.30/6.22 (~v129(constB148, bitIndex0)),
% 8.30/6.22 inference(unit_resolution,[status(thm)],[20275, 20274, 20268])).
% 8.30/6.22 tff(20277,plain,
% 8.30/6.22 ((((~v90(constB148, bitIndex2)) <=> v129(constB148, bitIndex2)) | ((~v90(constB148, bitIndex1)) <=> v129(constB148, bitIndex1)) | ((~v90(constB148, bitIndex0)) <=> v129(constB148, bitIndex0))) | (~((~v90(constB148, bitIndex0)) <=> v129(constB148, bitIndex0)))),
% 8.30/6.22 inference(tautology,[status(thm)],[])).
% 8.30/6.22 tff(20278,plain,
% 8.30/6.22 (~((~v90(constB148, bitIndex0)) <=> v129(constB148, bitIndex0))),
% 8.30/6.22 inference(unit_resolution,[status(thm)],[20277, 20258])).
% 8.30/6.22 tff(20279,plain,
% 8.30/6.22 (((~v90(constB148, bitIndex0)) <=> v129(constB148, bitIndex0)) | (~v90(constB148, bitIndex0)) | v129(constB148, bitIndex0)),
% 8.30/6.22 inference(tautology,[status(thm)],[])).
% 8.30/6.22 tff(20280,plain,
% 8.30/6.22 (~v90(constB148, bitIndex0)),
% 8.30/6.22 inference(unit_resolution,[status(thm)],[20279, 20278, 20276])).
% 8.30/6.22 tff(20281,plain,
% 8.30/6.22 (((~v90(constB149, bitIndex0)) <=> v90(constB148, bitIndex0)) | (~v90(constB149, bitIndex0)) | v90(constB148, bitIndex0)),
% 8.30/6.22 inference(tautology,[status(thm)],[])).
% 8.30/6.22 tff(20282,plain,
% 8.30/6.22 (~v90(constB149, bitIndex0)),
% 8.30/6.22 inference(unit_resolution,[status(thm)],[20281, 20280, 20266])).
% 8.30/6.22 tff(20283,plain,
% 8.30/6.22 ((((~v90(constB149, bitIndex1)) <=> v90(constB148, bitIndex1)) | ((~v90(constB149, bitIndex2)) <=> v90(constB148, bitIndex2)) | ((~v90(constB149, bitIndex0)) <=> v90(constB148, bitIndex0))) | (~((~v90(constB149, bitIndex1)) <=> v90(constB148, bitIndex1)))),
% 8.30/6.22 inference(tautology,[status(thm)],[])).
% 8.30/6.22 tff(20284,plain,
% 8.30/6.22 (~((~v90(constB149, bitIndex1)) <=> v90(constB148, bitIndex1))),
% 8.30/6.22 inference(unit_resolution,[status(thm)],[20283, 16510])).
% 8.30/6.22 tff(20285,plain,
% 8.30/6.22 ((((~v129(constB148, bitIndex2)) <=> v127(constB147, bitIndex2)) | ((~v129(constB148, bitIndex1)) <=> v127(constB147, bitIndex1)) | ((~v129(constB148, bitIndex0)) <=> v127(constB147, bitIndex0))) | (~((~v129(constB148, bitIndex1)) <=> v127(constB147, bitIndex1)))),
% 8.30/6.22 inference(tautology,[status(thm)],[])).
% 8.30/6.22 tff(20286,plain,
% 8.30/6.22 (~((~v129(constB148, bitIndex1)) <=> v127(constB147, bitIndex1))),
% 8.30/6.22 inference(unit_resolution,[status(thm)],[20285, 16519])).
% 8.30/6.22 tff(20287,plain,
% 8.30/6.22 ((((~v127(constB147, bitIndex2)) <=> v130(constB147, bitIndex2)) | ((~v127(constB147, bitIndex1)) <=> v130(constB147, bitIndex1)) | ((~v127(constB147, bitIndex0)) <=> v130(constB147, bitIndex0))) | (~((~v127(constB147, bitIndex1)) <=> v130(constB147, bitIndex1)))),
% 8.30/6.22 inference(tautology,[status(thm)],[])).
% 8.30/6.22 tff(20288,plain,
% 8.30/6.22 (~((~v127(constB147, bitIndex1)) <=> v130(constB147, bitIndex1))),
% 8.30/6.22 inference(unit_resolution,[status(thm)],[20287, 16533])).
% 8.30/6.22 tff(20289,plain,
% 8.30/6.22 ((v130(constB147, bitIndex2) | v130(constB147, bitIndex0) | (~v130(constB147, bitIndex1))) | v130(constB147, bitIndex1)),
% 8.30/6.22 inference(tautology,[status(thm)],[])).
% 8.30/6.22 tff(20290,plain,
% 8.30/6.22 (v130(constB147, bitIndex1)),
% 8.30/6.22 inference(unit_resolution,[status(thm)],[20289, 20151])).
% 8.30/6.22 tff(20291,plain,
% 8.30/6.22 (((~v127(constB147, bitIndex1)) <=> v130(constB147, bitIndex1)) | v127(constB147, bitIndex1) | (~v130(constB147, bitIndex1))),
% 8.30/6.22 inference(tautology,[status(thm)],[])).
% 8.30/6.22 tff(20292,plain,
% 8.30/6.22 (v127(constB147, bitIndex1)),
% 8.30/6.22 inference(unit_resolution,[status(thm)],[20291, 20290, 20288])).
% 8.30/6.22 tff(20293,plain,
% 8.30/6.22 (((~v129(constB148, bitIndex1)) <=> v127(constB147, bitIndex1)) | v129(constB148, bitIndex1) | (~v127(constB147, bitIndex1))),
% 8.30/6.22 inference(tautology,[status(thm)],[])).
% 8.30/6.22 tff(20294,plain,
% 8.30/6.22 (v129(constB148, bitIndex1)),
% 8.30/6.22 inference(unit_resolution,[status(thm)],[20293, 20292, 20286])).
% 8.30/6.22 tff(20295,plain,
% 8.30/6.22 ((((~v90(constB148, bitIndex2)) <=> v129(constB148, bitIndex2)) | ((~v90(constB148, bitIndex1)) <=> v129(constB148, bitIndex1)) | ((~v90(constB148, bitIndex0)) <=> v129(constB148, bitIndex0))) | (~((~v90(constB148, bitIndex1)) <=> v129(constB148, bitIndex1)))),
% 8.30/6.22 inference(tautology,[status(thm)],[])).
% 8.30/6.22 tff(20296,plain,
% 8.30/6.22 (~((~v90(constB148, bitIndex1)) <=> v129(constB148, bitIndex1))),
% 8.30/6.22 inference(unit_resolution,[status(thm)],[20295, 20258])).
% 8.30/6.22 tff(20297,plain,
% 8.30/6.22 (((~v90(constB148, bitIndex1)) <=> v129(constB148, bitIndex1)) | v90(constB148, bitIndex1) | (~v129(constB148, bitIndex1))),
% 8.30/6.22 inference(tautology,[status(thm)],[])).
% 8.30/6.22 tff(20298,plain,
% 8.30/6.22 (v90(constB148, bitIndex1)),
% 8.30/6.22 inference(unit_resolution,[status(thm)],[20297, 20296, 20294])).
% 8.30/6.22 tff(20299,plain,
% 8.30/6.22 (((~v90(constB149, bitIndex1)) <=> v90(constB148, bitIndex1)) | v90(constB149, bitIndex1) | (~v90(constB148, bitIndex1))),
% 8.30/6.22 inference(tautology,[status(thm)],[])).
% 8.30/6.22 tff(20300,plain,
% 8.30/6.22 (v90(constB149, bitIndex1)),
% 8.30/6.22 inference(unit_resolution,[status(thm)],[20299, 20298, 20284])).
% 8.30/6.22 tff(20301,plain,
% 8.30/6.22 ((~(v90(constB149, bitIndex2) | v90(constB149, bitIndex0) | (~v90(constB149, bitIndex1)))) | v90(constB149, bitIndex2) | v90(constB149, bitIndex0) | (~v90(constB149, bitIndex1))),
% 8.30/6.22 inference(tautology,[status(thm)],[])).
% 8.30/6.22 tff(20302,plain,
% 8.30/6.22 (~(v90(constB149, bitIndex2) | v90(constB149, bitIndex0) | (~v90(constB149, bitIndex1)))),
% 8.30/6.22 inference(unit_resolution,[status(thm)],[20301, 20300, 20282, 20264])).
% 8.30/6.22 tff(20303,plain,
% 8.30/6.22 ((~(v121(constB149) <=> (~(v90(constB149, bitIndex2) | v90(constB149, bitIndex0) | (~v90(constB149, bitIndex1)))))) | v121(constB149) | (v90(constB149, bitIndex2) | v90(constB149, bitIndex0) | (~v90(constB149, bitIndex1)))),
% 8.30/6.22 inference(tautology,[status(thm)],[])).
% 8.30/6.22 tff(20304,plain,
% 8.30/6.22 (v121(constB149)),
% 8.30/6.22 inference(unit_resolution,[status(thm)],[20303, 20302, 16476])).
% 8.30/6.22 tff(20305,plain,
% 8.30/6.22 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB149)) | (~(v130(constB149, bitIndex2) | (~v130(constB149, bitIndex1)) | (~v130(constB149, bitIndex0)))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | (~v121(constB149)) | (~(v130(constB149, bitIndex2) | (~v130(constB149, bitIndex1)) | (~v130(constB149, bitIndex0)))))),
% 8.31/6.23 inference(rewrite,[status(thm)],[])).
% 8.31/6.23 tff(20306,plain,
% 8.31/6.23 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB149)) | (~(v130(constB149, bitIndex2) | (~v130(constB149, bitIndex1)) | (~v130(constB149, bitIndex0)))))),
% 8.31/6.23 inference(quant_inst,[status(thm)],[])).
% 8.31/6.23 tff(20307,plain,
% 8.31/6.23 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | (~v121(constB149)) | (~(v130(constB149, bitIndex2) | (~v130(constB149, bitIndex1)) | (~v130(constB149, bitIndex0))))),
% 8.31/6.23 inference(modus_ponens,[status(thm)],[20306, 20305])).
% 8.31/6.23 tff(20308,plain,
% 8.31/6.23 ((~v121(constB149)) | (~(v130(constB149, bitIndex2) | (~v130(constB149, bitIndex1)) | (~v130(constB149, bitIndex0))))),
% 8.31/6.23 inference(unit_resolution,[status(thm)],[20307, 4055])).
% 8.31/6.23 tff(20309,plain,
% 8.31/6.23 (~(v130(constB149, bitIndex2) | (~v130(constB149, bitIndex1)) | (~v130(constB149, bitIndex0)))),
% 8.31/6.23 inference(unit_resolution,[status(thm)],[20308, 20304])).
% 8.31/6.23 tff(20310,plain,
% 8.31/6.23 ((v130(constB149, bitIndex2) | (~v130(constB149, bitIndex1)) | (~v130(constB149, bitIndex0))) | (~v130(constB149, bitIndex2))),
% 8.31/6.23 inference(tautology,[status(thm)],[])).
% 8.31/6.23 tff(20311,plain,
% 8.31/6.23 (~v130(constB149, bitIndex2)),
% 8.31/6.23 inference(unit_resolution,[status(thm)],[20310, 20309])).
% 8.31/6.23 tff(20312,plain,
% 8.31/6.23 (((~v127(constB149, bitIndex2)) <=> v130(constB149, bitIndex2)) | (~v127(constB149, bitIndex2)) | v130(constB149, bitIndex2)),
% 8.31/6.23 inference(tautology,[status(thm)],[])).
% 8.31/6.23 tff(20313,plain,
% 8.31/6.23 (~v127(constB149, bitIndex2)),
% 8.31/6.23 inference(unit_resolution,[status(thm)],[20312, 20311, 16469])).
% 8.31/6.23 tff(20314,plain,
% 8.31/6.23 (((~v129(constB150, bitIndex2)) <=> v127(constB149, bitIndex2)) | (~v129(constB150, bitIndex2)) | v127(constB149, bitIndex2)),
% 8.31/6.23 inference(tautology,[status(thm)],[])).
% 8.31/6.23 tff(20315,plain,
% 8.31/6.23 (~v129(constB150, bitIndex2)),
% 8.31/6.23 inference(unit_resolution,[status(thm)],[20314, 20313, 16455])).
% 8.31/6.23 tff(20316,plain,
% 8.31/6.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB149, constB150)) | (v100(constB150) <=> (~((~v101(constB150)) | (~v110(constB150))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB149, constB150)) | (v100(constB150) <=> (~((~v101(constB150)) | (~v110(constB150))))))),
% 8.31/6.23 inference(rewrite,[status(thm)],[])).
% 8.31/6.23 tff(20317,plain,
% 8.31/6.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB149, constB150)) | (v100(constB150) <=> (~((~v101(constB150)) | (~v110(constB150))))))),
% 8.31/6.23 inference(quant_inst,[status(thm)],[])).
% 8.31/6.23 tff(20318,plain,
% 8.31/6.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB149, constB150)) | (v100(constB150) <=> (~((~v101(constB150)) | (~v110(constB150)))))),
% 8.31/6.23 inference(modus_ponens,[status(thm)],[20317, 20316])).
% 8.31/6.23 tff(20319,plain,
% 8.31/6.23 (v100(constB150) <=> (~((~v101(constB150)) | (~v110(constB150))))),
% 8.31/6.23 inference(unit_resolution,[status(thm)],[20318, 16449, 445])).
% 8.31/6.23 tff(20320,plain,
% 8.31/6.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB149, constB150)) | (v101(constB150) <=> (~((~v1(constB150)) | (~v102(constB150))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB149, constB150)) | (v101(constB150) <=> (~((~v1(constB150)) | (~v102(constB150))))))),
% 8.31/6.23 inference(rewrite,[status(thm)],[])).
% 8.31/6.23 tff(20321,plain,
% 8.31/6.23 (((~nextState(constB149, constB150)) | (v101(constB150) <=> (~((~v102(constB150)) | (~v1(constB150)))))) <=> ((~nextState(constB149, constB150)) | (v101(constB150) <=> (~((~v1(constB150)) | (~v102(constB150))))))),
% 8.31/6.23 inference(rewrite,[status(thm)],[])).
% 8.31/6.23 tff(20322,plain,
% 8.31/6.23 (((~![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) <=> (~((~v1(constB150)) | (~v102(constB150)))))))),
% 8.31/6.23 inference(monotonicity,[status(thm)],[20321])).
% 8.31/6.23 tff(20323,plain,
% 8.31/6.23 (((~![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) <=> (~((~v1(constB150)) | (~v102(constB150))))))),
% 8.31/6.23 inference(transitivity,[status(thm)],[20322, 20320])).
% 8.31/6.23 tff(20324,plain,
% 8.31/6.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB149, constB150)) | (v101(constB150) <=> (~((~v102(constB150)) | (~v1(constB150))))))),
% 8.31/6.23 inference(quant_inst,[status(thm)],[])).
% 8.31/6.23 tff(20325,plain,
% 8.31/6.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB149, constB150)) | (v101(constB150) <=> (~((~v1(constB150)) | (~v102(constB150)))))),
% 8.31/6.23 inference(modus_ponens,[status(thm)],[20324, 20323])).
% 8.31/6.23 tff(20326,plain,
% 8.31/6.23 (v101(constB150) <=> (~((~v1(constB150)) | (~v102(constB150))))),
% 8.31/6.23 inference(unit_resolution,[status(thm)],[20325, 16449, 465])).
% 8.31/6.23 tff(20327,plain,
% 8.31/6.23 (((~![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)))),
% 8.31/6.23 inference(rewrite,[status(thm)],[])).
% 8.31/6.23 tff(20328,plain,
% 8.31/6.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB149, constB150)) | ((~v102(constB150)) <=> v104(constB150)))),
% 8.31/6.23 inference(quant_inst,[status(thm)],[])).
% 8.31/6.23 tff(20329,plain,
% 8.31/6.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB149, constB150)) | ((~v102(constB150)) <=> v104(constB150))),
% 8.31/6.23 inference(modus_ponens,[status(thm)],[20328, 20327])).
% 8.31/6.23 tff(20330,plain,
% 8.31/6.23 ((~v102(constB150)) <=> v104(constB150)),
% 8.31/6.23 inference(unit_resolution,[status(thm)],[20329, 16449, 3244])).
% 8.31/6.23 tff(20331,plain,
% 8.31/6.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB149, constB150)) | (v104(constB150) <=> v1(constB149)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB149, constB150)) | (v104(constB150) <=> v1(constB149)))),
% 8.31/6.23 inference(rewrite,[status(thm)],[])).
% 8.31/6.23 tff(20332,plain,
% 8.31/6.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB149, constB150)) | (v104(constB150) <=> v1(constB149)))),
% 8.31/6.23 inference(quant_inst,[status(thm)],[])).
% 8.31/6.23 tff(20333,plain,
% 8.31/6.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB149, constB150)) | (v104(constB150) <=> v1(constB149))),
% 8.31/6.23 inference(modus_ponens,[status(thm)],[20332, 20331])).
% 8.31/6.23 tff(20334,plain,
% 8.31/6.23 (v104(constB150) <=> v1(constB149)),
% 8.31/6.23 inference(unit_resolution,[status(thm)],[20333, 16449, 3258])).
% 8.31/6.23 tff(20335,plain,
% 8.31/6.23 ((~(v104(constB150) <=> v1(constB149))) | (~v104(constB150)) | v1(constB149)),
% 8.31/6.23 inference(tautology,[status(thm)],[])).
% 8.31/6.23 tff(20336,plain,
% 8.31/6.23 ((~(v104(constB150) <=> v1(constB149))) | (~v104(constB150))),
% 8.31/6.23 inference(unit_resolution,[status(thm)],[20335, 16493])).
% 8.31/6.23 tff(20337,plain,
% 8.31/6.23 (~v104(constB150)),
% 8.31/6.23 inference(unit_resolution,[status(thm)],[20336, 20334])).
% 8.31/6.23 tff(20338,plain,
% 8.31/6.23 ((~((~v102(constB150)) <=> v104(constB150))) | v102(constB150) | v104(constB150)),
% 8.31/6.23 inference(tautology,[status(thm)],[])).
% 8.31/6.23 tff(20339,plain,
% 8.31/6.23 (v102(constB150)),
% 8.31/6.23 inference(unit_resolution,[status(thm)],[20338, 20337, 20330])).
% 8.31/6.23 tff(20340,plain,
% 8.31/6.23 (v1(constB150) <=> v1(constB150)),
% 8.31/6.23 inference(rewrite,[status(thm)],[])).
% 8.31/6.23 tff(20341,axiom,(v1(constB150)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_150')).
% 8.31/6.23 tff(20342,plain,
% 8.31/6.23 (v1(constB150)),
% 8.31/6.23 inference(modus_ponens,[status(thm)],[20341, 20340])).
% 8.31/6.23 tff(20343,plain,
% 8.31/6.23 ((~((~v1(constB150)) | (~v102(constB150)))) | (~v1(constB150)) | (~v102(constB150))),
% 8.31/6.23 inference(tautology,[status(thm)],[])).
% 8.31/6.23 tff(20344,plain,
% 8.31/6.23 ((~((~v1(constB150)) | (~v102(constB150)))) | (~v102(constB150))),
% 8.31/6.23 inference(unit_resolution,[status(thm)],[20343, 20342])).
% 8.31/6.23 tff(20345,plain,
% 8.31/6.23 (~((~v1(constB150)) | (~v102(constB150)))),
% 8.31/6.23 inference(unit_resolution,[status(thm)],[20344, 20339])).
% 8.31/6.23 tff(20346,plain,
% 8.31/6.23 ((~(v101(constB150) <=> (~((~v1(constB150)) | (~v102(constB150)))))) | v101(constB150) | ((~v1(constB150)) | (~v102(constB150)))),
% 8.31/6.23 inference(tautology,[status(thm)],[])).
% 8.31/6.23 tff(20347,plain,
% 8.31/6.23 (v101(constB150)),
% 8.31/6.23 inference(unit_resolution,[status(thm)],[20346, 20345, 20326])).
% 8.31/6.23 tff(20348,plain,
% 8.31/6.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB149, constB150)) | (v110(constB150) <=> v108(constB149)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB149, constB150)) | (v110(constB150) <=> v108(constB149)))),
% 8.31/6.23 inference(rewrite,[status(thm)],[])).
% 8.31/6.23 tff(20349,plain,
% 8.31/6.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB149, constB150)) | (v110(constB150) <=> v108(constB149)))),
% 8.31/6.23 inference(quant_inst,[status(thm)],[])).
% 8.31/6.23 tff(20350,plain,
% 8.31/6.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB149, constB150)) | (v110(constB150) <=> v108(constB149))),
% 8.31/6.23 inference(modus_ponens,[status(thm)],[20349, 20348])).
% 8.31/6.23 tff(20351,plain,
% 8.31/6.23 (v110(constB150) <=> v108(constB149)),
% 8.31/6.23 inference(unit_resolution,[status(thm)],[20350, 16449, 3285])).
% 8.31/6.23 tff(20352,plain,
% 8.31/6.23 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB149) <=> (v111(constB149) | v112(constB149)))),
% 8.31/6.23 inference(quant_inst,[status(thm)],[])).
% 8.31/6.23 tff(20353,plain,
% 8.31/6.23 (v108(constB149) <=> (v111(constB149) | v112(constB149))),
% 8.31/6.23 inference(unit_resolution,[status(thm)],[20352, 3296])).
% 8.31/6.23 tff(20354,plain,
% 8.31/6.23 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB149) <=> (~((~v113(constB149)) | (~v126(constB149)))))),
% 8.31/6.23 inference(quant_inst,[status(thm)],[])).
% 8.31/6.23 tff(20355,plain,
% 8.31/6.23 (v112(constB149) <=> (~((~v113(constB149)) | (~v126(constB149))))),
% 8.31/6.23 inference(unit_resolution,[status(thm)],[20354, 3308])).
% 8.31/6.23 tff(20356,plain,
% 8.31/6.23 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB149) <=> (v114(constB149) | v125(constB149)))),
% 8.31/6.23 inference(quant_inst,[status(thm)],[])).
% 8.31/6.23 tff(20357,plain,
% 8.31/6.23 (v113(constB149) <=> (v114(constB149) | v125(constB149))),
% 8.31/6.23 inference(unit_resolution,[status(thm)],[20356, 3317])).
% 8.31/6.23 tff(20358,plain,
% 8.31/6.23 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB149) <=> (v115(constB149) | v124(constB149)))),
% 8.31/6.23 inference(quant_inst,[status(thm)],[])).
% 8.31/6.23 tff(20359,plain,
% 8.31/6.23 (v114(constB149) <=> (v115(constB149) | v124(constB149))),
% 8.31/6.23 inference(unit_resolution,[status(thm)],[20358, 3326])).
% 8.31/6.23 tff(20360,plain,
% 8.31/6.23 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB149) <=> (v116(constB149) | v123(constB149)))),
% 8.31/6.23 inference(quant_inst,[status(thm)],[])).
% 8.31/6.23 tff(20361,plain,
% 8.31/6.23 (v115(constB149) <=> (v116(constB149) | v123(constB149))),
% 8.31/6.23 inference(unit_resolution,[status(thm)],[20360, 3335])).
% 8.31/6.23 tff(20362,plain,
% 8.31/6.23 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB149) <=> (v117(constB149) | v122(constB149)))),
% 8.31/6.23 inference(quant_inst,[status(thm)],[])).
% 8.31/6.23 tff(20363,plain,
% 8.31/6.23 (v116(constB149) <=> (v117(constB149) | v122(constB149))),
% 8.31/6.23 inference(unit_resolution,[status(thm)],[20362, 3344])).
% 8.31/6.23 tff(20364,plain,
% 8.31/6.23 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB149) <=> (v118(constB149) | v121(constB149)))),
% 8.31/6.23 inference(quant_inst,[status(thm)],[])).
% 8.31/6.23 tff(20365,plain,
% 8.31/6.23 (v117(constB149) <=> (v118(constB149) | v121(constB149))),
% 8.31/6.23 inference(unit_resolution,[status(thm)],[20364, 3353])).
% 8.31/6.23 tff(20366,plain,
% 8.31/6.23 ((v118(constB149) | v121(constB149)) | (~v121(constB149))),
% 8.31/6.23 inference(tautology,[status(thm)],[])).
% 8.31/6.23 tff(20367,plain,
% 8.31/6.23 (v118(constB149) | v121(constB149)),
% 8.31/6.23 inference(unit_resolution,[status(thm)],[20366, 20304])).
% 8.31/6.23 tff(20368,plain,
% 8.31/6.23 ((~(v117(constB149) <=> (v118(constB149) | v121(constB149)))) | v117(constB149) | (~(v118(constB149) | v121(constB149)))),
% 8.31/6.23 inference(tautology,[status(thm)],[])).
% 8.31/6.23 tff(20369,plain,
% 8.31/6.23 (v117(constB149)),
% 8.31/6.23 inference(unit_resolution,[status(thm)],[20368, 20367, 20365])).
% 8.31/6.23 tff(20370,plain,
% 8.31/6.23 ((v117(constB149) | v122(constB149)) | (~v117(constB149))),
% 8.31/6.23 inference(tautology,[status(thm)],[])).
% 8.31/6.23 tff(20371,plain,
% 8.31/6.23 (v117(constB149) | v122(constB149)),
% 8.31/6.23 inference(unit_resolution,[status(thm)],[20370, 20369])).
% 8.31/6.23 tff(20372,plain,
% 8.31/6.23 ((~(v116(constB149) <=> (v117(constB149) | v122(constB149)))) | v116(constB149) | (~(v117(constB149) | v122(constB149)))),
% 8.31/6.23 inference(tautology,[status(thm)],[])).
% 8.31/6.23 tff(20373,plain,
% 8.31/6.23 (v116(constB149)),
% 8.31/6.23 inference(unit_resolution,[status(thm)],[20372, 20371, 20363])).
% 8.31/6.23 tff(20374,plain,
% 8.31/6.23 ((v116(constB149) | v123(constB149)) | (~v116(constB149))),
% 8.31/6.23 inference(tautology,[status(thm)],[])).
% 8.31/6.23 tff(20375,plain,
% 8.31/6.23 (v116(constB149) | v123(constB149)),
% 8.31/6.23 inference(unit_resolution,[status(thm)],[20374, 20373])).
% 8.31/6.23 tff(20376,plain,
% 8.31/6.23 ((~(v115(constB149) <=> (v116(constB149) | v123(constB149)))) | v115(constB149) | (~(v116(constB149) | v123(constB149)))),
% 8.31/6.23 inference(tautology,[status(thm)],[])).
% 8.31/6.23 tff(20377,plain,
% 8.31/6.23 (v115(constB149)),
% 8.31/6.23 inference(unit_resolution,[status(thm)],[20376, 20375, 20361])).
% 8.31/6.23 tff(20378,plain,
% 8.31/6.23 ((v115(constB149) | v124(constB149)) | (~v115(constB149))),
% 8.31/6.23 inference(tautology,[status(thm)],[])).
% 8.31/6.23 tff(20379,plain,
% 8.31/6.23 (v115(constB149) | v124(constB149)),
% 8.31/6.23 inference(unit_resolution,[status(thm)],[20378, 20377])).
% 8.31/6.23 tff(20380,plain,
% 8.31/6.23 ((~(v114(constB149) <=> (v115(constB149) | v124(constB149)))) | v114(constB149) | (~(v115(constB149) | v124(constB149)))),
% 8.31/6.23 inference(tautology,[status(thm)],[])).
% 8.31/6.23 tff(20381,plain,
% 8.31/6.23 (v114(constB149)),
% 8.31/6.23 inference(unit_resolution,[status(thm)],[20380, 20379, 20359])).
% 8.31/6.23 tff(20382,plain,
% 8.31/6.23 ((v114(constB149) | v125(constB149)) | (~v114(constB149))),
% 8.31/6.23 inference(tautology,[status(thm)],[])).
% 8.31/6.23 tff(20383,plain,
% 8.31/6.23 (v114(constB149) | v125(constB149)),
% 8.31/6.23 inference(unit_resolution,[status(thm)],[20382, 20381])).
% 8.31/6.23 tff(20384,plain,
% 8.31/6.23 ((~(v113(constB149) <=> (v114(constB149) | v125(constB149)))) | v113(constB149) | (~(v114(constB149) | v125(constB149)))),
% 8.31/6.23 inference(tautology,[status(thm)],[])).
% 8.31/6.23 tff(20385,plain,
% 8.31/6.23 (v113(constB149)),
% 8.31/6.23 inference(unit_resolution,[status(thm)],[20384, 20383, 20357])).
% 8.31/6.23 tff(20386,plain,
% 8.31/6.23 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB149)) <=> v111(constB149))),
% 8.31/6.23 inference(quant_inst,[status(thm)],[])).
% 8.31/6.23 tff(20387,plain,
% 8.31/6.23 ((~v126(constB149)) <=> v111(constB149)),
% 8.31/6.23 inference(unit_resolution,[status(thm)],[20386, 3396])).
% 8.31/6.23 tff(20388,plain,
% 8.31/6.23 ((~((~v126(constB149)) <=> v111(constB149))) | v126(constB149) | v111(constB149)),
% 8.31/6.23 inference(tautology,[status(thm)],[])).
% 8.31/6.23 tff(20389,plain,
% 8.31/6.23 ((~((~v126(constB149)) <=> v111(constB149))) | v126(constB149)),
% 8.31/6.23 inference(unit_resolution,[status(thm)],[20388, 16462])).
% 8.31/6.23 tff(20390,plain,
% 8.31/6.23 (v126(constB149)),
% 8.31/6.23 inference(unit_resolution,[status(thm)],[20389, 20387])).
% 8.31/6.23 tff(20391,plain,
% 8.31/6.23 ((~((~v113(constB149)) | (~v126(constB149)))) | (~v113(constB149)) | (~v126(constB149))),
% 8.31/6.23 inference(tautology,[status(thm)],[])).
% 8.31/6.23 tff(20392,plain,
% 8.31/6.23 ((~((~v113(constB149)) | (~v126(constB149)))) | (~v113(constB149))),
% 8.31/6.23 inference(unit_resolution,[status(thm)],[20391, 20390])).
% 8.31/6.23 tff(20393,plain,
% 8.31/6.23 (~((~v113(constB149)) | (~v126(constB149)))),
% 8.31/6.23 inference(unit_resolution,[status(thm)],[20392, 20385])).
% 8.31/6.23 tff(20394,plain,
% 8.31/6.23 ((~(v112(constB149) <=> (~((~v113(constB149)) | (~v126(constB149)))))) | v112(constB149) | ((~v113(constB149)) | (~v126(constB149)))),
% 8.31/6.23 inference(tautology,[status(thm)],[])).
% 8.31/6.23 tff(20395,plain,
% 8.31/6.23 (v112(constB149)),
% 8.31/6.23 inference(unit_resolution,[status(thm)],[20394, 20393, 20355])).
% 8.31/6.23 tff(20396,plain,
% 8.31/6.23 ((v111(constB149) | v112(constB149)) | (~v112(constB149))),
% 8.31/6.23 inference(tautology,[status(thm)],[])).
% 8.31/6.23 tff(20397,plain,
% 8.31/6.23 (v111(constB149) | v112(constB149)),
% 8.31/6.23 inference(unit_resolution,[status(thm)],[20396, 20395])).
% 8.31/6.23 tff(20398,plain,
% 8.31/6.23 ((~(v108(constB149) <=> (v111(constB149) | v112(constB149)))) | v108(constB149) | (~(v111(constB149) | v112(constB149)))),
% 8.31/6.23 inference(tautology,[status(thm)],[])).
% 8.31/6.23 tff(20399,plain,
% 8.31/6.23 (v108(constB149)),
% 8.31/6.23 inference(unit_resolution,[status(thm)],[20398, 20397, 20353])).
% 8.31/6.23 tff(20400,plain,
% 8.31/6.23 ((~(v110(constB150) <=> v108(constB149))) | v110(constB150) | (~v108(constB149))),
% 8.31/6.23 inference(tautology,[status(thm)],[])).
% 8.31/6.23 tff(20401,plain,
% 8.31/6.23 (v110(constB150)),
% 8.31/6.23 inference(unit_resolution,[status(thm)],[20400, 20399, 20351])).
% 8.31/6.23 tff(20402,plain,
% 8.31/6.23 ((~((~v101(constB150)) | (~v110(constB150)))) | (~v101(constB150)) | (~v110(constB150))),
% 8.31/6.23 inference(tautology,[status(thm)],[])).
% 8.31/6.23 tff(20403,plain,
% 8.31/6.23 (~((~v101(constB150)) | (~v110(constB150)))),
% 8.31/6.23 inference(unit_resolution,[status(thm)],[20402, 20401, 20347])).
% 8.31/6.23 tff(20404,plain,
% 8.31/6.23 ((~(v100(constB150) <=> (~((~v101(constB150)) | (~v110(constB150)))))) | v100(constB150) | ((~v101(constB150)) | (~v110(constB150)))),
% 8.31/6.23 inference(tautology,[status(thm)],[])).
% 8.31/6.23 tff(20405,plain,
% 8.31/6.23 (v100(constB150)),
% 8.31/6.23 inference(unit_resolution,[status(thm)],[20404, 20403, 20319])).
% 8.31/6.23 tff(20406,plain,
% 8.31/6.23 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB150)) | (~(((~v90(constB150, bitIndex0)) <=> v129(constB150, bitIndex0)) | ((~v90(constB150, bitIndex2)) <=> v129(constB150, bitIndex2)) | ((~v90(constB150, bitIndex1)) <=> v129(constB150, bitIndex1)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB150)) | (~(((~v90(constB150, bitIndex0)) <=> v129(constB150, bitIndex0)) | ((~v90(constB150, bitIndex2)) <=> v129(constB150, bitIndex2)) | ((~v90(constB150, bitIndex1)) <=> v129(constB150, bitIndex1)))))),
% 8.31/6.23 inference(rewrite,[status(thm)],[])).
% 8.31/6.23 tff(20407,plain,
% 8.31/6.23 (((~v100(constB150)) | (~(((~v90(constB150, bitIndex2)) <=> v129(constB150, bitIndex2)) | ((~v90(constB150, bitIndex1)) <=> v129(constB150, bitIndex1)) | ((~v90(constB150, bitIndex0)) <=> v129(constB150, bitIndex0))))) <=> ((~v100(constB150)) | (~(((~v90(constB150, bitIndex0)) <=> v129(constB150, bitIndex0)) | ((~v90(constB150, bitIndex2)) <=> v129(constB150, bitIndex2)) | ((~v90(constB150, bitIndex1)) <=> v129(constB150, bitIndex1)))))),
% 8.31/6.23 inference(rewrite,[status(thm)],[])).
% 8.31/6.23 tff(20408,plain,
% 8.31/6.23 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB150)) | (~(((~v90(constB150, bitIndex2)) <=> v129(constB150, bitIndex2)) | ((~v90(constB150, bitIndex1)) <=> v129(constB150, bitIndex1)) | ((~v90(constB150, bitIndex0)) <=> v129(constB150, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB150)) | (~(((~v90(constB150, bitIndex0)) <=> v129(constB150, bitIndex0)) | ((~v90(constB150, bitIndex2)) <=> v129(constB150, bitIndex2)) | ((~v90(constB150, bitIndex1)) <=> v129(constB150, bitIndex1))))))),
% 8.31/6.23 inference(monotonicity,[status(thm)],[20407])).
% 8.31/6.23 tff(20409,plain,
% 8.31/6.23 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB150)) | (~(((~v90(constB150, bitIndex2)) <=> v129(constB150, bitIndex2)) | ((~v90(constB150, bitIndex1)) <=> v129(constB150, bitIndex1)) | ((~v90(constB150, bitIndex0)) <=> v129(constB150, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB150)) | (~(((~v90(constB150, bitIndex0)) <=> v129(constB150, bitIndex0)) | ((~v90(constB150, bitIndex2)) <=> v129(constB150, bitIndex2)) | ((~v90(constB150, bitIndex1)) <=> v129(constB150, bitIndex1)))))),
% 8.31/6.23 inference(transitivity,[status(thm)],[20408, 20406])).
% 8.31/6.23 tff(20410,plain,
% 8.31/6.23 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB150)) | (~(((~v90(constB150, bitIndex2)) <=> v129(constB150, bitIndex2)) | ((~v90(constB150, bitIndex1)) <=> v129(constB150, bitIndex1)) | ((~v90(constB150, bitIndex0)) <=> v129(constB150, bitIndex0)))))),
% 8.31/6.23 inference(quant_inst,[status(thm)],[])).
% 8.31/6.23 tff(20411,plain,
% 8.31/6.23 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB150)) | (~(((~v90(constB150, bitIndex0)) <=> v129(constB150, bitIndex0)) | ((~v90(constB150, bitIndex2)) <=> v129(constB150, bitIndex2)) | ((~v90(constB150, bitIndex1)) <=> v129(constB150, bitIndex1))))),
% 8.31/6.23 inference(modus_ponens,[status(thm)],[20410, 20409])).
% 8.31/6.23 tff(20412,plain,
% 8.31/6.23 ((~v100(constB150)) | (~(((~v90(constB150, bitIndex0)) <=> v129(constB150, bitIndex0)) | ((~v90(constB150, bitIndex2)) <=> v129(constB150, bitIndex2)) | ((~v90(constB150, bitIndex1)) <=> v129(constB150, bitIndex1))))),
% 8.31/6.23 inference(unit_resolution,[status(thm)],[20411, 3429])).
% 8.31/6.23 tff(20413,plain,
% 8.31/6.23 (~(((~v90(constB150, bitIndex0)) <=> v129(constB150, bitIndex0)) | ((~v90(constB150, bitIndex2)) <=> v129(constB150, bitIndex2)) | ((~v90(constB150, bitIndex1)) <=> v129(constB150, bitIndex1)))),
% 8.31/6.23 inference(unit_resolution,[status(thm)],[20412, 20405])).
% 8.31/6.23 tff(20414,plain,
% 8.31/6.23 ((((~v90(constB150, bitIndex0)) <=> v129(constB150, bitIndex0)) | ((~v90(constB150, bitIndex2)) <=> v129(constB150, bitIndex2)) | ((~v90(constB150, bitIndex1)) <=> v129(constB150, bitIndex1))) | (~((~v90(constB150, bitIndex2)) <=> v129(constB150, bitIndex2)))),
% 8.31/6.23 inference(tautology,[status(thm)],[])).
% 8.31/6.23 tff(20415,plain,
% 8.31/6.23 (~((~v90(constB150, bitIndex2)) <=> v129(constB150, bitIndex2))),
% 8.31/6.23 inference(unit_resolution,[status(thm)],[20414, 20413])).
% 8.31/6.23 tff(20416,plain,
% 8.31/6.23 (((~v90(constB150, bitIndex2)) <=> v129(constB150, bitIndex2)) | (~v90(constB150, bitIndex2)) | v129(constB150, bitIndex2)),
% 8.31/6.23 inference(tautology,[status(thm)],[])).
% 8.31/6.23 tff(20417,plain,
% 8.31/6.23 (~v90(constB150, bitIndex2)),
% 8.31/6.23 inference(unit_resolution,[status(thm)],[20416, 20415, 20315])).
% 8.31/6.23 tff(20418,plain,
% 8.31/6.23 (((~v90(constB151, bitIndex2)) <=> v90(constB150, bitIndex2)) | (~v90(constB151, bitIndex2)) | v90(constB150, bitIndex2)),
% 8.31/6.23 inference(tautology,[status(thm)],[])).
% 8.31/6.23 tff(20419,plain,
% 8.31/6.23 (~v90(constB151, bitIndex2)),
% 8.31/6.23 inference(unit_resolution,[status(thm)],[20418, 20417, 16446])).
% 8.31/6.23 tff(20420,plain,
% 8.31/6.23 ((((~v90(constB151, bitIndex1)) <=> v90(constB150, bitIndex1)) | ((~v90(constB151, bitIndex2)) <=> v90(constB150, bitIndex2)) | ((~v90(constB151, bitIndex0)) <=> v90(constB150, bitIndex0))) | (~((~v90(constB151, bitIndex0)) <=> v90(constB150, bitIndex0)))),
% 8.31/6.23 inference(tautology,[status(thm)],[])).
% 8.31/6.23 tff(20421,plain,
% 8.31/6.23 (~((~v90(constB151, bitIndex0)) <=> v90(constB150, bitIndex0))),
% 8.31/6.23 inference(unit_resolution,[status(thm)],[20420, 16444])).
% 8.31/6.23 tff(20422,plain,
% 8.31/6.23 ((((~v129(constB150, bitIndex2)) <=> v127(constB149, bitIndex2)) | ((~v129(constB150, bitIndex1)) <=> v127(constB149, bitIndex1)) | ((~v129(constB150, bitIndex0)) <=> v127(constB149, bitIndex0))) | (~((~v129(constB150, bitIndex0)) <=> v127(constB149, bitIndex0)))),
% 8.31/6.23 inference(tautology,[status(thm)],[])).
% 8.31/6.23 tff(20423,plain,
% 8.31/6.23 (~((~v129(constB150, bitIndex0)) <=> v127(constB149, bitIndex0))),
% 8.31/6.23 inference(unit_resolution,[status(thm)],[20422, 16453])).
% 8.31/6.23 tff(20424,plain,
% 8.31/6.23 ((((~v127(constB149, bitIndex2)) <=> v130(constB149, bitIndex2)) | ((~v127(constB149, bitIndex1)) <=> v130(constB149, bitIndex1)) | ((~v127(constB149, bitIndex0)) <=> v130(constB149, bitIndex0))) | (~((~v127(constB149, bitIndex0)) <=> v130(constB149, bitIndex0)))),
% 8.31/6.23 inference(tautology,[status(thm)],[])).
% 8.31/6.23 tff(20425,plain,
% 8.31/6.23 (~((~v127(constB149, bitIndex0)) <=> v130(constB149, bitIndex0))),
% 8.31/6.23 inference(unit_resolution,[status(thm)],[20424, 16467])).
% 8.31/6.23 tff(20426,plain,
% 8.31/6.23 ((v130(constB149, bitIndex2) | (~v130(constB149, bitIndex1)) | (~v130(constB149, bitIndex0))) | v130(constB149, bitIndex0)),
% 8.31/6.23 inference(tautology,[status(thm)],[])).
% 8.31/6.23 tff(20427,plain,
% 8.31/6.23 (v130(constB149, bitIndex0)),
% 8.31/6.23 inference(unit_resolution,[status(thm)],[20426, 20309])).
% 8.31/6.23 tff(20428,plain,
% 8.31/6.23 (((~v127(constB149, bitIndex0)) <=> v130(constB149, bitIndex0)) | v127(constB149, bitIndex0) | (~v130(constB149, bitIndex0))),
% 8.31/6.23 inference(tautology,[status(thm)],[])).
% 8.31/6.23 tff(20429,plain,
% 8.31/6.23 (v127(constB149, bitIndex0)),
% 8.31/6.23 inference(unit_resolution,[status(thm)],[20428, 20427, 20425])).
% 8.31/6.23 tff(20430,plain,
% 8.31/6.23 (((~v129(constB150, bitIndex0)) <=> v127(constB149, bitIndex0)) | v129(constB150, bitIndex0) | (~v127(constB149, bitIndex0))),
% 8.31/6.23 inference(tautology,[status(thm)],[])).
% 8.31/6.23 tff(20431,plain,
% 8.31/6.23 (v129(constB150, bitIndex0)),
% 8.31/6.23 inference(unit_resolution,[status(thm)],[20430, 20429, 20423])).
% 8.31/6.23 tff(20432,plain,
% 8.31/6.23 ((((~v90(constB150, bitIndex0)) <=> v129(constB150, bitIndex0)) | ((~v90(constB150, bitIndex2)) <=> v129(constB150, bitIndex2)) | ((~v90(constB150, bitIndex1)) <=> v129(constB150, bitIndex1))) | (~((~v90(constB150, bitIndex0)) <=> v129(constB150, bitIndex0)))),
% 8.31/6.23 inference(tautology,[status(thm)],[])).
% 8.31/6.23 tff(20433,plain,
% 8.31/6.23 (~((~v90(constB150, bitIndex0)) <=> v129(constB150, bitIndex0))),
% 8.31/6.23 inference(unit_resolution,[status(thm)],[20432, 20413])).
% 8.31/6.23 tff(20434,plain,
% 8.31/6.23 (((~v90(constB150, bitIndex0)) <=> v129(constB150, bitIndex0)) | v90(constB150, bitIndex0) | (~v129(constB150, bitIndex0))),
% 8.31/6.23 inference(tautology,[status(thm)],[])).
% 8.31/6.23 tff(20435,plain,
% 8.31/6.23 (v90(constB150, bitIndex0)),
% 8.31/6.23 inference(unit_resolution,[status(thm)],[20434, 20433, 20431])).
% 8.31/6.23 tff(20436,plain,
% 8.31/6.23 (((~v90(constB151, bitIndex0)) <=> v90(constB150, bitIndex0)) | v90(constB151, bitIndex0) | (~v90(constB150, bitIndex0))),
% 8.31/6.23 inference(tautology,[status(thm)],[])).
% 8.31/6.23 tff(20437,plain,
% 8.31/6.23 (v90(constB151, bitIndex0)),
% 8.31/6.23 inference(unit_resolution,[status(thm)],[20436, 20435, 20421])).
% 8.31/6.23 tff(20438,plain,
% 8.31/6.23 ((((~v90(constB151, bitIndex1)) <=> v90(constB150, bitIndex1)) | ((~v90(constB151, bitIndex2)) <=> v90(constB150, bitIndex2)) | ((~v90(constB151, bitIndex0)) <=> v90(constB150, bitIndex0))) | (~((~v90(constB151, bitIndex1)) <=> v90(constB150, bitIndex1)))),
% 8.31/6.23 inference(tautology,[status(thm)],[])).
% 8.31/6.23 tff(20439,plain,
% 8.31/6.23 (~((~v90(constB151, bitIndex1)) <=> v90(constB150, bitIndex1))),
% 8.31/6.23 inference(unit_resolution,[status(thm)],[20438, 16444])).
% 8.31/6.23 tff(20440,plain,
% 8.31/6.23 ((((~v129(constB150, bitIndex2)) <=> v127(constB149, bitIndex2)) | ((~v129(constB150, bitIndex1)) <=> v127(constB149, bitIndex1)) | ((~v129(constB150, bitIndex0)) <=> v127(constB149, bitIndex0))) | (~((~v129(constB150, bitIndex1)) <=> v127(constB149, bitIndex1)))),
% 8.31/6.23 inference(tautology,[status(thm)],[])).
% 8.31/6.23 tff(20441,plain,
% 8.31/6.23 (~((~v129(constB150, bitIndex1)) <=> v127(constB149, bitIndex1))),
% 8.31/6.24 inference(unit_resolution,[status(thm)],[20440, 16453])).
% 8.31/6.24 tff(20442,plain,
% 8.31/6.24 ((((~v127(constB149, bitIndex2)) <=> v130(constB149, bitIndex2)) | ((~v127(constB149, bitIndex1)) <=> v130(constB149, bitIndex1)) | ((~v127(constB149, bitIndex0)) <=> v130(constB149, bitIndex0))) | (~((~v127(constB149, bitIndex1)) <=> v130(constB149, bitIndex1)))),
% 8.31/6.24 inference(tautology,[status(thm)],[])).
% 8.31/6.24 tff(20443,plain,
% 8.31/6.24 (~((~v127(constB149, bitIndex1)) <=> v130(constB149, bitIndex1))),
% 8.31/6.24 inference(unit_resolution,[status(thm)],[20442, 16467])).
% 8.31/6.24 tff(20444,plain,
% 8.31/6.24 ((v130(constB149, bitIndex2) | (~v130(constB149, bitIndex1)) | (~v130(constB149, bitIndex0))) | v130(constB149, bitIndex1)),
% 8.31/6.24 inference(tautology,[status(thm)],[])).
% 8.31/6.24 tff(20445,plain,
% 8.31/6.24 (v130(constB149, bitIndex1)),
% 8.31/6.24 inference(unit_resolution,[status(thm)],[20444, 20309])).
% 8.31/6.24 tff(20446,plain,
% 8.31/6.24 (((~v127(constB149, bitIndex1)) <=> v130(constB149, bitIndex1)) | v127(constB149, bitIndex1) | (~v130(constB149, bitIndex1))),
% 8.31/6.24 inference(tautology,[status(thm)],[])).
% 8.31/6.24 tff(20447,plain,
% 8.31/6.24 (v127(constB149, bitIndex1)),
% 8.31/6.24 inference(unit_resolution,[status(thm)],[20446, 20445, 20443])).
% 8.31/6.24 tff(20448,plain,
% 8.31/6.24 (((~v129(constB150, bitIndex1)) <=> v127(constB149, bitIndex1)) | v129(constB150, bitIndex1) | (~v127(constB149, bitIndex1))),
% 8.31/6.24 inference(tautology,[status(thm)],[])).
% 8.31/6.24 tff(20449,plain,
% 8.31/6.24 (v129(constB150, bitIndex1)),
% 8.31/6.24 inference(unit_resolution,[status(thm)],[20448, 20447, 20441])).
% 8.31/6.24 tff(20450,plain,
% 8.31/6.24 ((((~v90(constB150, bitIndex0)) <=> v129(constB150, bitIndex0)) | ((~v90(constB150, bitIndex2)) <=> v129(constB150, bitIndex2)) | ((~v90(constB150, bitIndex1)) <=> v129(constB150, bitIndex1))) | (~((~v90(constB150, bitIndex1)) <=> v129(constB150, bitIndex1)))),
% 8.31/6.24 inference(tautology,[status(thm)],[])).
% 8.31/6.24 tff(20451,plain,
% 8.31/6.24 (~((~v90(constB150, bitIndex1)) <=> v129(constB150, bitIndex1))),
% 8.31/6.24 inference(unit_resolution,[status(thm)],[20450, 20413])).
% 8.31/6.24 tff(20452,plain,
% 8.31/6.24 (((~v90(constB150, bitIndex1)) <=> v129(constB150, bitIndex1)) | v90(constB150, bitIndex1) | (~v129(constB150, bitIndex1))),
% 8.31/6.24 inference(tautology,[status(thm)],[])).
% 8.31/6.24 tff(20453,plain,
% 8.31/6.24 (v90(constB150, bitIndex1)),
% 8.31/6.24 inference(unit_resolution,[status(thm)],[20452, 20451, 20449])).
% 8.31/6.24 tff(20454,plain,
% 8.31/6.24 (((~v90(constB151, bitIndex1)) <=> v90(constB150, bitIndex1)) | v90(constB151, bitIndex1) | (~v90(constB150, bitIndex1))),
% 8.31/6.24 inference(tautology,[status(thm)],[])).
% 8.31/6.24 tff(20455,plain,
% 8.31/6.24 (v90(constB151, bitIndex1)),
% 8.31/6.24 inference(unit_resolution,[status(thm)],[20454, 20453, 20439])).
% 8.31/6.24 tff(20456,plain,
% 8.31/6.24 ((~(v90(constB151, bitIndex2) | (~v90(constB151, bitIndex1)) | (~v90(constB151, bitIndex0)))) | v90(constB151, bitIndex2) | (~v90(constB151, bitIndex1)) | (~v90(constB151, bitIndex0))),
% 8.31/6.24 inference(tautology,[status(thm)],[])).
% 8.31/6.24 tff(20457,plain,
% 8.31/6.24 (~(v90(constB151, bitIndex2) | (~v90(constB151, bitIndex1)) | (~v90(constB151, bitIndex0)))),
% 8.31/6.24 inference(unit_resolution,[status(thm)],[20456, 20455, 20437, 20419])).
% 8.31/6.24 tff(20458,plain,
% 8.31/6.24 ((~(v122(constB151) <=> (~(v90(constB151, bitIndex2) | (~v90(constB151, bitIndex1)) | (~v90(constB151, bitIndex0)))))) | v122(constB151) | (v90(constB151, bitIndex2) | (~v90(constB151, bitIndex1)) | (~v90(constB151, bitIndex0)))),
% 8.31/6.24 inference(tautology,[status(thm)],[])).
% 8.31/6.24 tff(20459,plain,
% 8.31/6.24 (v122(constB151)),
% 8.31/6.24 inference(unit_resolution,[status(thm)],[20458, 20457, 16410])).
% 8.31/6.24 tff(20460,plain,
% 8.31/6.24 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB151)) | (~(v130(constB151, bitIndex1) | v130(constB151, bitIndex0) | (~v130(constB151, bitIndex2)))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | (~v122(constB151)) | (~(v130(constB151, bitIndex1) | v130(constB151, bitIndex0) | (~v130(constB151, bitIndex2)))))),
% 8.31/6.24 inference(rewrite,[status(thm)],[])).
% 8.31/6.24 tff(20461,plain,
% 8.31/6.24 (((~v122(constB151)) | (~(v130(constB151, bitIndex0) | v130(constB151, bitIndex1) | (~v130(constB151, bitIndex2))))) <=> ((~v122(constB151)) | (~(v130(constB151, bitIndex1) | v130(constB151, bitIndex0) | (~v130(constB151, bitIndex2)))))),
% 8.31/6.24 inference(rewrite,[status(thm)],[])).
% 8.31/6.24 tff(20462,plain,
% 8.31/6.24 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB151)) | (~(v130(constB151, bitIndex0) | v130(constB151, bitIndex1) | (~v130(constB151, bitIndex2)))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB151)) | (~(v130(constB151, bitIndex1) | v130(constB151, bitIndex0) | (~v130(constB151, bitIndex2))))))),
% 8.31/6.24 inference(monotonicity,[status(thm)],[20461])).
% 8.31/6.24 tff(20463,plain,
% 8.31/6.24 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB151)) | (~(v130(constB151, bitIndex0) | v130(constB151, bitIndex1) | (~v130(constB151, bitIndex2)))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | (~v122(constB151)) | (~(v130(constB151, bitIndex1) | v130(constB151, bitIndex0) | (~v130(constB151, bitIndex2)))))),
% 8.31/6.24 inference(transitivity,[status(thm)],[20462, 20460])).
% 8.31/6.24 tff(20464,plain,
% 8.31/6.24 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB151)) | (~(v130(constB151, bitIndex0) | v130(constB151, bitIndex1) | (~v130(constB151, bitIndex2)))))),
% 8.31/6.24 inference(quant_inst,[status(thm)],[])).
% 8.31/6.24 tff(20465,plain,
% 8.31/6.24 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | (~v122(constB151)) | (~(v130(constB151, bitIndex1) | v130(constB151, bitIndex0) | (~v130(constB151, bitIndex2))))),
% 8.31/6.24 inference(modus_ponens,[status(thm)],[20464, 20463])).
% 8.31/6.24 tff(20466,plain,
% 8.31/6.24 ((~v122(constB151)) | (~(v130(constB151, bitIndex1) | v130(constB151, bitIndex0) | (~v130(constB151, bitIndex2))))),
% 8.31/6.24 inference(unit_resolution,[status(thm)],[20465, 4223])).
% 8.31/6.24 tff(20467,plain,
% 8.31/6.24 (~(v130(constB151, bitIndex1) | v130(constB151, bitIndex0) | (~v130(constB151, bitIndex2)))),
% 8.31/6.24 inference(unit_resolution,[status(thm)],[20466, 20459])).
% 8.31/6.24 tff(20468,plain,
% 8.31/6.24 ((v130(constB151, bitIndex1) | v130(constB151, bitIndex0) | (~v130(constB151, bitIndex2))) | v130(constB151, bitIndex2)),
% 8.31/6.24 inference(tautology,[status(thm)],[])).
% 8.31/6.24 tff(20469,plain,
% 8.31/6.24 (v130(constB151, bitIndex2)),
% 8.31/6.24 inference(unit_resolution,[status(thm)],[20468, 20467])).
% 8.31/6.24 tff(20470,plain,
% 8.31/6.24 (((~v127(constB151, bitIndex2)) <=> v130(constB151, bitIndex2)) | v127(constB151, bitIndex2) | (~v130(constB151, bitIndex2))),
% 8.31/6.24 inference(tautology,[status(thm)],[])).
% 8.31/6.24 tff(20471,plain,
% 8.31/6.24 (v127(constB151, bitIndex2)),
% 8.31/6.24 inference(unit_resolution,[status(thm)],[20470, 20469, 16403])).
% 8.31/6.24 tff(20472,plain,
% 8.31/6.24 (((~v129(constB152, bitIndex2)) <=> v127(constB151, bitIndex2)) | v129(constB152, bitIndex2) | (~v127(constB151, bitIndex2))),
% 8.31/6.24 inference(tautology,[status(thm)],[])).
% 8.31/6.24 tff(20473,plain,
% 8.31/6.24 (v129(constB152, bitIndex2)),
% 8.31/6.24 inference(unit_resolution,[status(thm)],[20472, 20471, 16389])).
% 8.31/6.24 tff(20474,plain,
% 8.31/6.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB151, constB152)) | (v100(constB152) <=> (~((~v101(constB152)) | (~v110(constB152))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB151, constB152)) | (v100(constB152) <=> (~((~v101(constB152)) | (~v110(constB152))))))),
% 8.31/6.24 inference(rewrite,[status(thm)],[])).
% 8.31/6.24 tff(20475,plain,
% 8.31/6.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB151, constB152)) | (v100(constB152) <=> (~((~v101(constB152)) | (~v110(constB152))))))),
% 8.31/6.24 inference(quant_inst,[status(thm)],[])).
% 8.31/6.24 tff(20476,plain,
% 8.31/6.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB151, constB152)) | (v100(constB152) <=> (~((~v101(constB152)) | (~v110(constB152)))))),
% 8.31/6.24 inference(modus_ponens,[status(thm)],[20475, 20474])).
% 8.31/6.24 tff(20477,plain,
% 8.31/6.24 (v100(constB152) <=> (~((~v101(constB152)) | (~v110(constB152))))),
% 8.31/6.24 inference(unit_resolution,[status(thm)],[20476, 16383, 445])).
% 8.31/6.24 tff(20478,plain,
% 8.31/6.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB151, constB152)) | (v101(constB152) <=> (~((~v1(constB152)) | (~v102(constB152))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB151, constB152)) | (v101(constB152) <=> (~((~v1(constB152)) | (~v102(constB152))))))),
% 8.31/6.24 inference(rewrite,[status(thm)],[])).
% 8.31/6.24 tff(20479,plain,
% 8.31/6.24 (((~nextState(constB151, constB152)) | (v101(constB152) <=> (~((~v102(constB152)) | (~v1(constB152)))))) <=> ((~nextState(constB151, constB152)) | (v101(constB152) <=> (~((~v1(constB152)) | (~v102(constB152))))))),
% 8.31/6.24 inference(rewrite,[status(thm)],[])).
% 8.31/6.24 tff(20480,plain,
% 8.31/6.24 (((~![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) <=> (~((~v1(constB152)) | (~v102(constB152)))))))),
% 8.31/6.24 inference(monotonicity,[status(thm)],[20479])).
% 8.31/6.24 tff(20481,plain,
% 8.31/6.24 (((~![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) <=> (~((~v1(constB152)) | (~v102(constB152))))))),
% 8.31/6.24 inference(transitivity,[status(thm)],[20480, 20478])).
% 8.31/6.24 tff(20482,plain,
% 8.31/6.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB151, constB152)) | (v101(constB152) <=> (~((~v102(constB152)) | (~v1(constB152))))))),
% 8.31/6.24 inference(quant_inst,[status(thm)],[])).
% 8.31/6.24 tff(20483,plain,
% 8.31/6.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB151, constB152)) | (v101(constB152) <=> (~((~v1(constB152)) | (~v102(constB152)))))),
% 8.31/6.24 inference(modus_ponens,[status(thm)],[20482, 20481])).
% 8.31/6.24 tff(20484,plain,
% 8.31/6.24 (v101(constB152) <=> (~((~v1(constB152)) | (~v102(constB152))))),
% 8.31/6.24 inference(unit_resolution,[status(thm)],[20483, 16383, 465])).
% 8.31/6.24 tff(20485,plain,
% 8.31/6.24 (((~![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)))),
% 8.31/6.24 inference(rewrite,[status(thm)],[])).
% 8.31/6.24 tff(20486,plain,
% 8.31/6.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB151, constB152)) | ((~v102(constB152)) <=> v104(constB152)))),
% 8.31/6.24 inference(quant_inst,[status(thm)],[])).
% 8.31/6.24 tff(20487,plain,
% 8.31/6.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB151, constB152)) | ((~v102(constB152)) <=> v104(constB152))),
% 8.31/6.24 inference(modus_ponens,[status(thm)],[20486, 20485])).
% 8.31/6.24 tff(20488,plain,
% 8.31/6.24 ((~v102(constB152)) <=> v104(constB152)),
% 8.31/6.24 inference(unit_resolution,[status(thm)],[20487, 16383, 3244])).
% 8.31/6.24 tff(20489,plain,
% 8.31/6.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB151, constB152)) | (v104(constB152) <=> v1(constB151)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB151, constB152)) | (v104(constB152) <=> v1(constB151)))),
% 8.31/6.24 inference(rewrite,[status(thm)],[])).
% 8.31/6.24 tff(20490,plain,
% 8.31/6.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB151, constB152)) | (v104(constB152) <=> v1(constB151)))),
% 8.31/6.24 inference(quant_inst,[status(thm)],[])).
% 8.31/6.24 tff(20491,plain,
% 8.31/6.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB151, constB152)) | (v104(constB152) <=> v1(constB151))),
% 8.31/6.24 inference(modus_ponens,[status(thm)],[20490, 20489])).
% 8.31/6.24 tff(20492,plain,
% 8.31/6.24 (v104(constB152) <=> v1(constB151)),
% 8.31/6.24 inference(unit_resolution,[status(thm)],[20491, 16383, 3258])).
% 8.31/6.24 tff(20493,plain,
% 8.31/6.24 ((~(v104(constB152) <=> v1(constB151))) | (~v104(constB152)) | v1(constB151)),
% 8.31/6.24 inference(tautology,[status(thm)],[])).
% 8.31/6.24 tff(20494,plain,
% 8.31/6.24 ((~(v104(constB152) <=> v1(constB151))) | (~v104(constB152))),
% 8.31/6.24 inference(unit_resolution,[status(thm)],[20493, 16427])).
% 8.31/6.24 tff(20495,plain,
% 8.31/6.24 (~v104(constB152)),
% 8.31/6.24 inference(unit_resolution,[status(thm)],[20494, 20492])).
% 8.31/6.24 tff(20496,plain,
% 8.31/6.24 ((~((~v102(constB152)) <=> v104(constB152))) | v102(constB152) | v104(constB152)),
% 8.31/6.24 inference(tautology,[status(thm)],[])).
% 8.31/6.24 tff(20497,plain,
% 8.31/6.24 (v102(constB152)),
% 8.31/6.24 inference(unit_resolution,[status(thm)],[20496, 20495, 20488])).
% 8.31/6.24 tff(20498,plain,
% 8.31/6.24 (v1(constB152) <=> v1(constB152)),
% 8.31/6.24 inference(rewrite,[status(thm)],[])).
% 8.31/6.24 tff(20499,axiom,(v1(constB152)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_152')).
% 8.31/6.24 tff(20500,plain,
% 8.31/6.24 (v1(constB152)),
% 8.31/6.24 inference(modus_ponens,[status(thm)],[20499, 20498])).
% 8.31/6.24 tff(20501,plain,
% 8.31/6.24 ((~((~v1(constB152)) | (~v102(constB152)))) | (~v1(constB152)) | (~v102(constB152))),
% 8.31/6.24 inference(tautology,[status(thm)],[])).
% 8.31/6.24 tff(20502,plain,
% 8.31/6.24 ((~((~v1(constB152)) | (~v102(constB152)))) | (~v102(constB152))),
% 8.31/6.24 inference(unit_resolution,[status(thm)],[20501, 20500])).
% 8.31/6.24 tff(20503,plain,
% 8.31/6.24 (~((~v1(constB152)) | (~v102(constB152)))),
% 8.31/6.24 inference(unit_resolution,[status(thm)],[20502, 20497])).
% 8.31/6.24 tff(20504,plain,
% 8.31/6.24 ((~(v101(constB152) <=> (~((~v1(constB152)) | (~v102(constB152)))))) | v101(constB152) | ((~v1(constB152)) | (~v102(constB152)))),
% 8.31/6.24 inference(tautology,[status(thm)],[])).
% 8.31/6.24 tff(20505,plain,
% 8.31/6.24 (v101(constB152)),
% 8.31/6.24 inference(unit_resolution,[status(thm)],[20504, 20503, 20484])).
% 8.31/6.24 tff(20506,plain,
% 8.31/6.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB151, constB152)) | (v110(constB152) <=> v108(constB151)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB151, constB152)) | (v110(constB152) <=> v108(constB151)))),
% 8.31/6.24 inference(rewrite,[status(thm)],[])).
% 8.31/6.24 tff(20507,plain,
% 8.31/6.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB151, constB152)) | (v110(constB152) <=> v108(constB151)))),
% 8.31/6.24 inference(quant_inst,[status(thm)],[])).
% 8.31/6.24 tff(20508,plain,
% 8.31/6.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB151, constB152)) | (v110(constB152) <=> v108(constB151))),
% 8.31/6.24 inference(modus_ponens,[status(thm)],[20507, 20506])).
% 8.31/6.24 tff(20509,plain,
% 8.31/6.24 (v110(constB152) <=> v108(constB151)),
% 8.31/6.24 inference(unit_resolution,[status(thm)],[20508, 16383, 3285])).
% 8.31/6.24 tff(20510,plain,
% 8.31/6.24 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB151) <=> (v111(constB151) | v112(constB151)))),
% 8.31/6.24 inference(quant_inst,[status(thm)],[])).
% 8.31/6.24 tff(20511,plain,
% 8.31/6.24 (v108(constB151) <=> (v111(constB151) | v112(constB151))),
% 8.31/6.24 inference(unit_resolution,[status(thm)],[20510, 3296])).
% 8.31/6.24 tff(20512,plain,
% 8.31/6.24 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB151) <=> (~((~v113(constB151)) | (~v126(constB151)))))),
% 8.31/6.24 inference(quant_inst,[status(thm)],[])).
% 8.31/6.24 tff(20513,plain,
% 8.31/6.24 (v112(constB151) <=> (~((~v113(constB151)) | (~v126(constB151))))),
% 8.31/6.24 inference(unit_resolution,[status(thm)],[20512, 3308])).
% 8.31/6.24 tff(20514,plain,
% 8.31/6.24 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB151) <=> (v114(constB151) | v125(constB151)))),
% 8.31/6.24 inference(quant_inst,[status(thm)],[])).
% 8.31/6.24 tff(20515,plain,
% 8.31/6.24 (v113(constB151) <=> (v114(constB151) | v125(constB151))),
% 8.31/6.24 inference(unit_resolution,[status(thm)],[20514, 3317])).
% 8.31/6.24 tff(20516,plain,
% 8.31/6.24 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB151) <=> (v115(constB151) | v124(constB151)))),
% 8.31/6.24 inference(quant_inst,[status(thm)],[])).
% 8.31/6.24 tff(20517,plain,
% 8.31/6.24 (v114(constB151) <=> (v115(constB151) | v124(constB151))),
% 8.31/6.24 inference(unit_resolution,[status(thm)],[20516, 3326])).
% 8.31/6.24 tff(20518,plain,
% 8.31/6.24 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB151) <=> (v116(constB151) | v123(constB151)))),
% 8.31/6.24 inference(quant_inst,[status(thm)],[])).
% 8.31/6.24 tff(20519,plain,
% 8.31/6.24 (v115(constB151) <=> (v116(constB151) | v123(constB151))),
% 8.31/6.24 inference(unit_resolution,[status(thm)],[20518, 3335])).
% 8.31/6.24 tff(20520,plain,
% 8.31/6.24 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB151) <=> (v117(constB151) | v122(constB151)))),
% 8.31/6.24 inference(quant_inst,[status(thm)],[])).
% 8.31/6.24 tff(20521,plain,
% 8.31/6.24 (v116(constB151) <=> (v117(constB151) | v122(constB151))),
% 8.31/6.24 inference(unit_resolution,[status(thm)],[20520, 3344])).
% 8.31/6.24 tff(20522,plain,
% 8.31/6.24 ((v117(constB151) | v122(constB151)) | (~v122(constB151))),
% 8.31/6.24 inference(tautology,[status(thm)],[])).
% 8.31/6.24 tff(20523,plain,
% 8.31/6.24 (v117(constB151) | v122(constB151)),
% 8.31/6.24 inference(unit_resolution,[status(thm)],[20522, 20459])).
% 8.31/6.24 tff(20524,plain,
% 8.31/6.24 ((~(v116(constB151) <=> (v117(constB151) | v122(constB151)))) | v116(constB151) | (~(v117(constB151) | v122(constB151)))),
% 8.31/6.24 inference(tautology,[status(thm)],[])).
% 8.31/6.24 tff(20525,plain,
% 8.31/6.24 (v116(constB151)),
% 8.31/6.24 inference(unit_resolution,[status(thm)],[20524, 20523, 20521])).
% 8.31/6.24 tff(20526,plain,
% 8.31/6.24 ((v116(constB151) | v123(constB151)) | (~v116(constB151))),
% 8.31/6.24 inference(tautology,[status(thm)],[])).
% 8.31/6.24 tff(20527,plain,
% 8.31/6.24 (v116(constB151) | v123(constB151)),
% 8.31/6.24 inference(unit_resolution,[status(thm)],[20526, 20525])).
% 8.31/6.24 tff(20528,plain,
% 8.31/6.24 ((~(v115(constB151) <=> (v116(constB151) | v123(constB151)))) | v115(constB151) | (~(v116(constB151) | v123(constB151)))),
% 8.31/6.24 inference(tautology,[status(thm)],[])).
% 8.31/6.24 tff(20529,plain,
% 8.31/6.24 (v115(constB151)),
% 8.31/6.24 inference(unit_resolution,[status(thm)],[20528, 20527, 20519])).
% 8.31/6.24 tff(20530,plain,
% 8.31/6.24 ((v115(constB151) | v124(constB151)) | (~v115(constB151))),
% 8.31/6.24 inference(tautology,[status(thm)],[])).
% 8.31/6.24 tff(20531,plain,
% 8.31/6.24 (v115(constB151) | v124(constB151)),
% 8.31/6.24 inference(unit_resolution,[status(thm)],[20530, 20529])).
% 8.31/6.24 tff(20532,plain,
% 8.31/6.24 ((~(v114(constB151) <=> (v115(constB151) | v124(constB151)))) | v114(constB151) | (~(v115(constB151) | v124(constB151)))),
% 8.31/6.24 inference(tautology,[status(thm)],[])).
% 8.31/6.24 tff(20533,plain,
% 8.31/6.24 (v114(constB151)),
% 8.31/6.24 inference(unit_resolution,[status(thm)],[20532, 20531, 20517])).
% 8.31/6.24 tff(20534,plain,
% 8.31/6.24 ((v114(constB151) | v125(constB151)) | (~v114(constB151))),
% 8.31/6.24 inference(tautology,[status(thm)],[])).
% 8.31/6.24 tff(20535,plain,
% 8.31/6.24 (v114(constB151) | v125(constB151)),
% 8.31/6.24 inference(unit_resolution,[status(thm)],[20534, 20533])).
% 8.31/6.24 tff(20536,plain,
% 8.31/6.24 ((~(v113(constB151) <=> (v114(constB151) | v125(constB151)))) | v113(constB151) | (~(v114(constB151) | v125(constB151)))),
% 8.31/6.24 inference(tautology,[status(thm)],[])).
% 8.31/6.24 tff(20537,plain,
% 8.31/6.24 (v113(constB151)),
% 8.31/6.24 inference(unit_resolution,[status(thm)],[20536, 20535, 20515])).
% 8.31/6.24 tff(20538,plain,
% 8.31/6.24 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB151)) <=> v111(constB151))),
% 8.31/6.24 inference(quant_inst,[status(thm)],[])).
% 8.31/6.24 tff(20539,plain,
% 8.31/6.24 ((~v126(constB151)) <=> v111(constB151)),
% 8.31/6.24 inference(unit_resolution,[status(thm)],[20538, 3396])).
% 8.31/6.24 tff(20540,plain,
% 8.31/6.24 ((~((~v126(constB151)) <=> v111(constB151))) | v126(constB151) | v111(constB151)),
% 8.31/6.24 inference(tautology,[status(thm)],[])).
% 8.31/6.24 tff(20541,plain,
% 8.31/6.24 ((~((~v126(constB151)) <=> v111(constB151))) | v126(constB151)),
% 8.31/6.24 inference(unit_resolution,[status(thm)],[20540, 16396])).
% 8.31/6.24 tff(20542,plain,
% 8.31/6.24 (v126(constB151)),
% 8.31/6.24 inference(unit_resolution,[status(thm)],[20541, 20539])).
% 8.31/6.24 tff(20543,plain,
% 8.31/6.24 ((~((~v113(constB151)) | (~v126(constB151)))) | (~v113(constB151)) | (~v126(constB151))),
% 8.31/6.24 inference(tautology,[status(thm)],[])).
% 8.31/6.24 tff(20544,plain,
% 8.31/6.24 ((~((~v113(constB151)) | (~v126(constB151)))) | (~v113(constB151))),
% 8.31/6.24 inference(unit_resolution,[status(thm)],[20543, 20542])).
% 8.31/6.24 tff(20545,plain,
% 8.31/6.24 (~((~v113(constB151)) | (~v126(constB151)))),
% 8.31/6.24 inference(unit_resolution,[status(thm)],[20544, 20537])).
% 8.31/6.24 tff(20546,plain,
% 8.31/6.24 ((~(v112(constB151) <=> (~((~v113(constB151)) | (~v126(constB151)))))) | v112(constB151) | ((~v113(constB151)) | (~v126(constB151)))),
% 8.31/6.24 inference(tautology,[status(thm)],[])).
% 8.31/6.24 tff(20547,plain,
% 8.31/6.24 (v112(constB151)),
% 8.31/6.24 inference(unit_resolution,[status(thm)],[20546, 20545, 20513])).
% 8.31/6.24 tff(20548,plain,
% 8.31/6.24 ((v111(constB151) | v112(constB151)) | (~v112(constB151))),
% 8.31/6.24 inference(tautology,[status(thm)],[])).
% 8.31/6.24 tff(20549,plain,
% 8.31/6.24 (v111(constB151) | v112(constB151)),
% 8.31/6.24 inference(unit_resolution,[status(thm)],[20548, 20547])).
% 8.31/6.24 tff(20550,plain,
% 8.31/6.24 ((~(v108(constB151) <=> (v111(constB151) | v112(constB151)))) | v108(constB151) | (~(v111(constB151) | v112(constB151)))),
% 8.31/6.24 inference(tautology,[status(thm)],[])).
% 8.31/6.24 tff(20551,plain,
% 8.31/6.24 (v108(constB151)),
% 8.31/6.24 inference(unit_resolution,[status(thm)],[20550, 20549, 20511])).
% 8.31/6.24 tff(20552,plain,
% 8.31/6.24 ((~(v110(constB152) <=> v108(constB151))) | v110(constB152) | (~v108(constB151))),
% 8.31/6.24 inference(tautology,[status(thm)],[])).
% 8.31/6.24 tff(20553,plain,
% 8.31/6.24 (v110(constB152)),
% 8.31/6.24 inference(unit_resolution,[status(thm)],[20552, 20551, 20509])).
% 8.31/6.24 tff(20554,plain,
% 8.31/6.24 ((~((~v101(constB152)) | (~v110(constB152)))) | (~v101(constB152)) | (~v110(constB152))),
% 8.31/6.24 inference(tautology,[status(thm)],[])).
% 8.31/6.24 tff(20555,plain,
% 8.31/6.24 (~((~v101(constB152)) | (~v110(constB152)))),
% 8.31/6.24 inference(unit_resolution,[status(thm)],[20554, 20553, 20505])).
% 8.31/6.24 tff(20556,plain,
% 8.31/6.24 ((~(v100(constB152) <=> (~((~v101(constB152)) | (~v110(constB152)))))) | v100(constB152) | ((~v101(constB152)) | (~v110(constB152)))),
% 8.31/6.24 inference(tautology,[status(thm)],[])).
% 8.31/6.24 tff(20557,plain,
% 8.31/6.24 (v100(constB152)),
% 8.31/6.24 inference(unit_resolution,[status(thm)],[20556, 20555, 20477])).
% 8.31/6.24 tff(20558,plain,
% 8.31/6.24 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB152)) | (~(((~v90(constB152, bitIndex2)) <=> v129(constB152, bitIndex2)) | ((~v90(constB152, bitIndex1)) <=> v129(constB152, bitIndex1)) | ((~v90(constB152, bitIndex0)) <=> v129(constB152, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB152)) | (~(((~v90(constB152, bitIndex2)) <=> v129(constB152, bitIndex2)) | ((~v90(constB152, bitIndex1)) <=> v129(constB152, bitIndex1)) | ((~v90(constB152, bitIndex0)) <=> v129(constB152, bitIndex0)))))),
% 8.31/6.24 inference(rewrite,[status(thm)],[])).
% 8.31/6.24 tff(20559,plain,
% 8.31/6.24 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB152)) | (~(((~v90(constB152, bitIndex2)) <=> v129(constB152, bitIndex2)) | ((~v90(constB152, bitIndex1)) <=> v129(constB152, bitIndex1)) | ((~v90(constB152, bitIndex0)) <=> v129(constB152, bitIndex0)))))),
% 8.31/6.24 inference(quant_inst,[status(thm)],[])).
% 8.31/6.24 tff(20560,plain,
% 8.31/6.24 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB152)) | (~(((~v90(constB152, bitIndex2)) <=> v129(constB152, bitIndex2)) | ((~v90(constB152, bitIndex1)) <=> v129(constB152, bitIndex1)) | ((~v90(constB152, bitIndex0)) <=> v129(constB152, bitIndex0))))),
% 8.31/6.24 inference(modus_ponens,[status(thm)],[20559, 20558])).
% 8.31/6.24 tff(20561,plain,
% 8.31/6.24 ((~v100(constB152)) | (~(((~v90(constB152, bitIndex2)) <=> v129(constB152, bitIndex2)) | ((~v90(constB152, bitIndex1)) <=> v129(constB152, bitIndex1)) | ((~v90(constB152, bitIndex0)) <=> v129(constB152, bitIndex0))))),
% 8.31/6.24 inference(unit_resolution,[status(thm)],[20560, 3429])).
% 8.31/6.24 tff(20562,plain,
% 8.31/6.24 (~(((~v90(constB152, bitIndex2)) <=> v129(constB152, bitIndex2)) | ((~v90(constB152, bitIndex1)) <=> v129(constB152, bitIndex1)) | ((~v90(constB152, bitIndex0)) <=> v129(constB152, bitIndex0)))),
% 8.31/6.24 inference(unit_resolution,[status(thm)],[20561, 20557])).
% 8.31/6.24 tff(20563,plain,
% 8.31/6.24 ((((~v90(constB152, bitIndex2)) <=> v129(constB152, bitIndex2)) | ((~v90(constB152, bitIndex1)) <=> v129(constB152, bitIndex1)) | ((~v90(constB152, bitIndex0)) <=> v129(constB152, bitIndex0))) | (~((~v90(constB152, bitIndex2)) <=> v129(constB152, bitIndex2)))),
% 8.31/6.24 inference(tautology,[status(thm)],[])).
% 8.31/6.24 tff(20564,plain,
% 8.31/6.24 (~((~v90(constB152, bitIndex2)) <=> v129(constB152, bitIndex2))),
% 8.31/6.24 inference(unit_resolution,[status(thm)],[20563, 20562])).
% 8.31/6.24 tff(20565,plain,
% 8.31/6.24 (((~v90(constB152, bitIndex2)) <=> v129(constB152, bitIndex2)) | v90(constB152, bitIndex2) | (~v129(constB152, bitIndex2))),
% 8.31/6.24 inference(tautology,[status(thm)],[])).
% 8.31/6.24 tff(20566,plain,
% 8.31/6.24 (v90(constB152, bitIndex2)),
% 8.31/6.24 inference(unit_resolution,[status(thm)],[20565, 20564, 20473])).
% 8.31/6.24 tff(20567,plain,
% 8.31/6.24 (((~v90(constB153, bitIndex2)) <=> v90(constB152, bitIndex2)) | v90(constB153, bitIndex2) | (~v90(constB152, bitIndex2))),
% 8.31/6.24 inference(tautology,[status(thm)],[])).
% 8.31/6.24 tff(20568,plain,
% 8.31/6.24 (v90(constB153, bitIndex2)),
% 8.31/6.24 inference(unit_resolution,[status(thm)],[20567, 20566, 16380])).
% 8.31/6.24 tff(20569,plain,
% 8.31/6.24 ((((~v90(constB153, bitIndex1)) <=> v90(constB152, bitIndex1)) | ((~v90(constB153, bitIndex2)) <=> v90(constB152, bitIndex2)) | ((~v90(constB153, bitIndex0)) <=> v90(constB152, bitIndex0))) | (~((~v90(constB153, bitIndex0)) <=> v90(constB152, bitIndex0)))),
% 8.31/6.24 inference(tautology,[status(thm)],[])).
% 8.31/6.24 tff(20570,plain,
% 8.31/6.24 (~((~v90(constB153, bitIndex0)) <=> v90(constB152, bitIndex0))),
% 8.31/6.24 inference(unit_resolution,[status(thm)],[20569, 16378])).
% 8.31/6.24 tff(20571,plain,
% 8.31/6.24 ((((~v129(constB152, bitIndex2)) <=> v127(constB151, bitIndex2)) | ((~v129(constB152, bitIndex1)) <=> v127(constB151, bitIndex1)) | ((~v129(constB152, bitIndex0)) <=> v127(constB151, bitIndex0))) | (~((~v129(constB152, bitIndex0)) <=> v127(constB151, bitIndex0)))),
% 8.31/6.24 inference(tautology,[status(thm)],[])).
% 8.31/6.24 tff(20572,plain,
% 8.31/6.24 (~((~v129(constB152, bitIndex0)) <=> v127(constB151, bitIndex0))),
% 8.31/6.24 inference(unit_resolution,[status(thm)],[20571, 16387])).
% 8.31/6.24 tff(20573,plain,
% 8.31/6.24 ((((~v127(constB151, bitIndex2)) <=> v130(constB151, bitIndex2)) | ((~v127(constB151, bitIndex1)) <=> v130(constB151, bitIndex1)) | ((~v127(constB151, bitIndex0)) <=> v130(constB151, bitIndex0))) | (~((~v127(constB151, bitIndex0)) <=> v130(constB151, bitIndex0)))),
% 8.31/6.24 inference(tautology,[status(thm)],[])).
% 8.31/6.24 tff(20574,plain,
% 8.31/6.24 (~((~v127(constB151, bitIndex0)) <=> v130(constB151, bitIndex0))),
% 8.31/6.24 inference(unit_resolution,[status(thm)],[20573, 16401])).
% 8.31/6.24 tff(20575,plain,
% 8.31/6.24 ((v130(constB151, bitIndex1) | v130(constB151, bitIndex0) | (~v130(constB151, bitIndex2))) | (~v130(constB151, bitIndex0))),
% 8.31/6.24 inference(tautology,[status(thm)],[])).
% 8.31/6.24 tff(20576,plain,
% 8.31/6.24 (~v130(constB151, bitIndex0)),
% 8.31/6.24 inference(unit_resolution,[status(thm)],[20575, 20467])).
% 8.31/6.24 tff(20577,plain,
% 8.31/6.24 (((~v127(constB151, bitIndex0)) <=> v130(constB151, bitIndex0)) | (~v127(constB151, bitIndex0)) | v130(constB151, bitIndex0)),
% 8.31/6.24 inference(tautology,[status(thm)],[])).
% 8.31/6.24 tff(20578,plain,
% 8.31/6.24 (~v127(constB151, bitIndex0)),
% 8.31/6.24 inference(unit_resolution,[status(thm)],[20577, 20576, 20574])).
% 8.31/6.24 tff(20579,plain,
% 8.31/6.24 (((~v129(constB152, bitIndex0)) <=> v127(constB151, bitIndex0)) | (~v129(constB152, bitIndex0)) | v127(constB151, bitIndex0)),
% 8.31/6.24 inference(tautology,[status(thm)],[])).
% 8.31/6.24 tff(20580,plain,
% 8.31/6.24 (~v129(constB152, bitIndex0)),
% 8.31/6.24 inference(unit_resolution,[status(thm)],[20579, 20578, 20572])).
% 8.31/6.24 tff(20581,plain,
% 8.31/6.24 ((((~v90(constB152, bitIndex2)) <=> v129(constB152, bitIndex2)) | ((~v90(constB152, bitIndex1)) <=> v129(constB152, bitIndex1)) | ((~v90(constB152, bitIndex0)) <=> v129(constB152, bitIndex0))) | (~((~v90(constB152, bitIndex0)) <=> v129(constB152, bitIndex0)))),
% 8.31/6.24 inference(tautology,[status(thm)],[])).
% 8.31/6.24 tff(20582,plain,
% 8.31/6.24 (~((~v90(constB152, bitIndex0)) <=> v129(constB152, bitIndex0))),
% 8.31/6.24 inference(unit_resolution,[status(thm)],[20581, 20562])).
% 8.31/6.24 tff(20583,plain,
% 8.31/6.24 (((~v90(constB152, bitIndex0)) <=> v129(constB152, bitIndex0)) | (~v90(constB152, bitIndex0)) | v129(constB152, bitIndex0)),
% 8.31/6.24 inference(tautology,[status(thm)],[])).
% 8.31/6.24 tff(20584,plain,
% 8.31/6.24 (~v90(constB152, bitIndex0)),
% 8.31/6.24 inference(unit_resolution,[status(thm)],[20583, 20582, 20580])).
% 8.31/6.24 tff(20585,plain,
% 8.31/6.24 (((~v90(constB153, bitIndex0)) <=> v90(constB152, bitIndex0)) | (~v90(constB153, bitIndex0)) | v90(constB152, bitIndex0)),
% 8.31/6.24 inference(tautology,[status(thm)],[])).
% 8.31/6.24 tff(20586,plain,
% 8.31/6.24 (~v90(constB153, bitIndex0)),
% 8.31/6.24 inference(unit_resolution,[status(thm)],[20585, 20584, 20570])).
% 8.31/6.24 tff(20587,plain,
% 8.31/6.24 ((((~v90(constB153, bitIndex1)) <=> v90(constB152, bitIndex1)) | ((~v90(constB153, bitIndex2)) <=> v90(constB152, bitIndex2)) | ((~v90(constB153, bitIndex0)) <=> v90(constB152, bitIndex0))) | (~((~v90(constB153, bitIndex1)) <=> v90(constB152, bitIndex1)))),
% 8.31/6.24 inference(tautology,[status(thm)],[])).
% 8.31/6.24 tff(20588,plain,
% 8.31/6.24 (~((~v90(constB153, bitIndex1)) <=> v90(constB152, bitIndex1))),
% 8.31/6.24 inference(unit_resolution,[status(thm)],[20587, 16378])).
% 8.31/6.24 tff(20589,plain,
% 8.31/6.24 ((((~v129(constB152, bitIndex2)) <=> v127(constB151, bitIndex2)) | ((~v129(constB152, bitIndex1)) <=> v127(constB151, bitIndex1)) | ((~v129(constB152, bitIndex0)) <=> v127(constB151, bitIndex0))) | (~((~v129(constB152, bitIndex1)) <=> v127(constB151, bitIndex1)))),
% 8.31/6.24 inference(tautology,[status(thm)],[])).
% 8.31/6.24 tff(20590,plain,
% 8.31/6.24 (~((~v129(constB152, bitIndex1)) <=> v127(constB151, bitIndex1))),
% 8.31/6.24 inference(unit_resolution,[status(thm)],[20589, 16387])).
% 8.31/6.24 tff(20591,plain,
% 8.31/6.24 ((((~v127(constB151, bitIndex2)) <=> v130(constB151, bitIndex2)) | ((~v127(constB151, bitIndex1)) <=> v130(constB151, bitIndex1)) | ((~v127(constB151, bitIndex0)) <=> v130(constB151, bitIndex0))) | (~((~v127(constB151, bitIndex1)) <=> v130(constB151, bitIndex1)))),
% 8.31/6.25 inference(tautology,[status(thm)],[])).
% 8.31/6.25 tff(20592,plain,
% 8.31/6.25 (~((~v127(constB151, bitIndex1)) <=> v130(constB151, bitIndex1))),
% 8.31/6.25 inference(unit_resolution,[status(thm)],[20591, 16401])).
% 8.31/6.25 tff(20593,plain,
% 8.31/6.25 ((v130(constB151, bitIndex1) | v130(constB151, bitIndex0) | (~v130(constB151, bitIndex2))) | (~v130(constB151, bitIndex1))),
% 8.31/6.25 inference(tautology,[status(thm)],[])).
% 8.31/6.25 tff(20594,plain,
% 8.31/6.25 (~v130(constB151, bitIndex1)),
% 8.31/6.25 inference(unit_resolution,[status(thm)],[20593, 20467])).
% 8.31/6.25 tff(20595,plain,
% 8.31/6.25 (((~v127(constB151, bitIndex1)) <=> v130(constB151, bitIndex1)) | (~v127(constB151, bitIndex1)) | v130(constB151, bitIndex1)),
% 8.31/6.25 inference(tautology,[status(thm)],[])).
% 8.31/6.25 tff(20596,plain,
% 8.31/6.25 (~v127(constB151, bitIndex1)),
% 8.31/6.25 inference(unit_resolution,[status(thm)],[20595, 20594, 20592])).
% 8.31/6.25 tff(20597,plain,
% 8.31/6.25 (((~v129(constB152, bitIndex1)) <=> v127(constB151, bitIndex1)) | (~v129(constB152, bitIndex1)) | v127(constB151, bitIndex1)),
% 8.31/6.25 inference(tautology,[status(thm)],[])).
% 8.31/6.25 tff(20598,plain,
% 8.31/6.25 (~v129(constB152, bitIndex1)),
% 8.31/6.25 inference(unit_resolution,[status(thm)],[20597, 20596, 20590])).
% 8.31/6.25 tff(20599,plain,
% 8.31/6.25 ((((~v90(constB152, bitIndex2)) <=> v129(constB152, bitIndex2)) | ((~v90(constB152, bitIndex1)) <=> v129(constB152, bitIndex1)) | ((~v90(constB152, bitIndex0)) <=> v129(constB152, bitIndex0))) | (~((~v90(constB152, bitIndex1)) <=> v129(constB152, bitIndex1)))),
% 8.31/6.25 inference(tautology,[status(thm)],[])).
% 8.31/6.25 tff(20600,plain,
% 8.31/6.25 (~((~v90(constB152, bitIndex1)) <=> v129(constB152, bitIndex1))),
% 8.31/6.25 inference(unit_resolution,[status(thm)],[20599, 20562])).
% 8.31/6.25 tff(20601,plain,
% 8.31/6.25 (((~v90(constB152, bitIndex1)) <=> v129(constB152, bitIndex1)) | (~v90(constB152, bitIndex1)) | v129(constB152, bitIndex1)),
% 8.31/6.25 inference(tautology,[status(thm)],[])).
% 8.31/6.25 tff(20602,plain,
% 8.31/6.25 (~v90(constB152, bitIndex1)),
% 8.31/6.25 inference(unit_resolution,[status(thm)],[20601, 20600, 20598])).
% 8.31/6.25 tff(20603,plain,
% 8.31/6.25 (((~v90(constB153, bitIndex1)) <=> v90(constB152, bitIndex1)) | (~v90(constB153, bitIndex1)) | v90(constB152, bitIndex1)),
% 8.31/6.25 inference(tautology,[status(thm)],[])).
% 8.31/6.25 tff(20604,plain,
% 8.31/6.25 (~v90(constB153, bitIndex1)),
% 8.31/6.25 inference(unit_resolution,[status(thm)],[20603, 20602, 20588])).
% 8.31/6.25 tff(20605,plain,
% 8.31/6.25 ((~(v90(constB153, bitIndex1) | v90(constB153, bitIndex0) | (~v90(constB153, bitIndex2)))) | v90(constB153, bitIndex1) | v90(constB153, bitIndex0) | (~v90(constB153, bitIndex2))),
% 8.31/6.25 inference(tautology,[status(thm)],[])).
% 8.31/6.25 tff(20606,plain,
% 8.31/6.25 (~(v90(constB153, bitIndex1) | v90(constB153, bitIndex0) | (~v90(constB153, bitIndex2)))),
% 8.31/6.25 inference(unit_resolution,[status(thm)],[20605, 20604, 20586, 20568])).
% 8.31/6.25 tff(20607,plain,
% 8.31/6.25 ((~(v123(constB153) <=> (~(v90(constB153, bitIndex1) | v90(constB153, bitIndex0) | (~v90(constB153, bitIndex2)))))) | v123(constB153) | (v90(constB153, bitIndex1) | v90(constB153, bitIndex0) | (~v90(constB153, bitIndex2)))),
% 8.31/6.25 inference(tautology,[status(thm)],[])).
% 8.31/6.25 tff(20608,plain,
% 8.31/6.25 (v123(constB153)),
% 8.31/6.25 inference(unit_resolution,[status(thm)],[20607, 20606, 16344])).
% 8.31/6.25 tff(20609,plain,
% 8.31/6.25 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | ((~v123(constB153)) | (~(v130(constB153, bitIndex0) | (~v130(constB153, bitIndex2)) | (~v130(constB153, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | (~v123(constB153)) | (~(v130(constB153, bitIndex0) | (~v130(constB153, bitIndex2)) | (~v130(constB153, bitIndex1)))))),
% 8.31/6.25 inference(rewrite,[status(thm)],[])).
% 8.31/6.25 tff(20610,plain,
% 8.31/6.25 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | ((~v123(constB153)) | (~(v130(constB153, bitIndex0) | (~v130(constB153, bitIndex2)) | (~v130(constB153, bitIndex1)))))),
% 8.31/6.25 inference(quant_inst,[status(thm)],[])).
% 8.31/6.25 tff(20611,plain,
% 8.31/6.25 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | (~v123(constB153)) | (~(v130(constB153, bitIndex0) | (~v130(constB153, bitIndex2)) | (~v130(constB153, bitIndex1))))),
% 8.31/6.25 inference(modus_ponens,[status(thm)],[20610, 20609])).
% 8.31/6.25 tff(20612,plain,
% 8.31/6.25 ((~v123(constB153)) | (~(v130(constB153, bitIndex0) | (~v130(constB153, bitIndex2)) | (~v130(constB153, bitIndex1))))),
% 8.31/6.25 inference(unit_resolution,[status(thm)],[20611, 3496])).
% 8.31/6.25 tff(20613,plain,
% 8.31/6.25 (~(v130(constB153, bitIndex0) | (~v130(constB153, bitIndex2)) | (~v130(constB153, bitIndex1)))),
% 8.31/6.25 inference(unit_resolution,[status(thm)],[20612, 20608])).
% 8.31/6.25 tff(20614,plain,
% 8.31/6.25 ((v130(constB153, bitIndex0) | (~v130(constB153, bitIndex2)) | (~v130(constB153, bitIndex1))) | (~v130(constB153, bitIndex0))),
% 8.31/6.25 inference(tautology,[status(thm)],[])).
% 8.31/6.25 tff(20615,plain,
% 8.31/6.25 (~v130(constB153, bitIndex0)),
% 8.31/6.25 inference(unit_resolution,[status(thm)],[20614, 20613])).
% 8.31/6.25 tff(20616,plain,
% 8.31/6.25 (((~v127(constB153, bitIndex0)) <=> v130(constB153, bitIndex0)) | (~v127(constB153, bitIndex0)) | v130(constB153, bitIndex0)),
% 8.31/6.25 inference(tautology,[status(thm)],[])).
% 8.31/6.25 tff(20617,plain,
% 8.31/6.25 (~v127(constB153, bitIndex0)),
% 8.31/6.25 inference(unit_resolution,[status(thm)],[20616, 20615, 16337])).
% 8.31/6.25 tff(20618,plain,
% 8.31/6.25 (((~v129(constB154, bitIndex0)) <=> v127(constB153, bitIndex0)) | (~v129(constB154, bitIndex0)) | v127(constB153, bitIndex0)),
% 8.31/6.25 inference(tautology,[status(thm)],[])).
% 8.31/6.25 tff(20619,plain,
% 8.31/6.25 (~v129(constB154, bitIndex0)),
% 8.31/6.25 inference(unit_resolution,[status(thm)],[20618, 20617, 16323])).
% 8.31/6.25 tff(20620,plain,
% 8.31/6.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB153, constB154)) | (v100(constB154) <=> (~((~v101(constB154)) | (~v110(constB154))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB153, constB154)) | (v100(constB154) <=> (~((~v101(constB154)) | (~v110(constB154))))))),
% 8.31/6.25 inference(rewrite,[status(thm)],[])).
% 8.31/6.25 tff(20621,plain,
% 8.31/6.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB153, constB154)) | (v100(constB154) <=> (~((~v101(constB154)) | (~v110(constB154))))))),
% 8.31/6.25 inference(quant_inst,[status(thm)],[])).
% 8.31/6.25 tff(20622,plain,
% 8.31/6.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB153, constB154)) | (v100(constB154) <=> (~((~v101(constB154)) | (~v110(constB154)))))),
% 8.31/6.25 inference(modus_ponens,[status(thm)],[20621, 20620])).
% 8.31/6.25 tff(20623,plain,
% 8.31/6.25 (v100(constB154) <=> (~((~v101(constB154)) | (~v110(constB154))))),
% 8.31/6.25 inference(unit_resolution,[status(thm)],[20622, 16317, 445])).
% 8.31/6.25 tff(20624,plain,
% 8.31/6.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB153, constB154)) | (v101(constB154) <=> (~((~v1(constB154)) | (~v102(constB154))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB153, constB154)) | (v101(constB154) <=> (~((~v1(constB154)) | (~v102(constB154))))))),
% 8.31/6.25 inference(rewrite,[status(thm)],[])).
% 8.31/6.25 tff(20625,plain,
% 8.31/6.25 (((~nextState(constB153, constB154)) | (v101(constB154) <=> (~((~v102(constB154)) | (~v1(constB154)))))) <=> ((~nextState(constB153, constB154)) | (v101(constB154) <=> (~((~v1(constB154)) | (~v102(constB154))))))),
% 8.31/6.25 inference(rewrite,[status(thm)],[])).
% 8.31/6.25 tff(20626,plain,
% 8.31/6.25 (((~![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) <=> (~((~v1(constB154)) | (~v102(constB154)))))))),
% 8.31/6.25 inference(monotonicity,[status(thm)],[20625])).
% 8.31/6.25 tff(20627,plain,
% 8.31/6.25 (((~![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) <=> (~((~v1(constB154)) | (~v102(constB154))))))),
% 8.31/6.25 inference(transitivity,[status(thm)],[20626, 20624])).
% 8.31/6.25 tff(20628,plain,
% 8.31/6.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB153, constB154)) | (v101(constB154) <=> (~((~v102(constB154)) | (~v1(constB154))))))),
% 8.31/6.25 inference(quant_inst,[status(thm)],[])).
% 8.31/6.25 tff(20629,plain,
% 8.31/6.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB153, constB154)) | (v101(constB154) <=> (~((~v1(constB154)) | (~v102(constB154)))))),
% 8.31/6.25 inference(modus_ponens,[status(thm)],[20628, 20627])).
% 8.31/6.25 tff(20630,plain,
% 8.31/6.25 (v101(constB154) <=> (~((~v1(constB154)) | (~v102(constB154))))),
% 8.31/6.25 inference(unit_resolution,[status(thm)],[20629, 16317, 465])).
% 8.31/6.25 tff(20631,plain,
% 8.31/6.25 (((~![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)))),
% 8.31/6.25 inference(rewrite,[status(thm)],[])).
% 8.31/6.25 tff(20632,plain,
% 8.31/6.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB153, constB154)) | ((~v102(constB154)) <=> v104(constB154)))),
% 8.31/6.25 inference(quant_inst,[status(thm)],[])).
% 8.31/6.25 tff(20633,plain,
% 8.31/6.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB153, constB154)) | ((~v102(constB154)) <=> v104(constB154))),
% 8.31/6.25 inference(modus_ponens,[status(thm)],[20632, 20631])).
% 8.31/6.25 tff(20634,plain,
% 8.31/6.25 ((~v102(constB154)) <=> v104(constB154)),
% 8.31/6.25 inference(unit_resolution,[status(thm)],[20633, 16317, 3244])).
% 8.31/6.25 tff(20635,plain,
% 8.31/6.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB153, constB154)) | (v104(constB154) <=> v1(constB153)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB153, constB154)) | (v104(constB154) <=> v1(constB153)))),
% 8.31/6.25 inference(rewrite,[status(thm)],[])).
% 8.31/6.25 tff(20636,plain,
% 8.31/6.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB153, constB154)) | (v104(constB154) <=> v1(constB153)))),
% 8.31/6.25 inference(quant_inst,[status(thm)],[])).
% 8.31/6.25 tff(20637,plain,
% 8.31/6.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB153, constB154)) | (v104(constB154) <=> v1(constB153))),
% 8.31/6.25 inference(modus_ponens,[status(thm)],[20636, 20635])).
% 8.31/6.25 tff(20638,plain,
% 8.31/6.25 (v104(constB154) <=> v1(constB153)),
% 8.31/6.25 inference(unit_resolution,[status(thm)],[20637, 16317, 3258])).
% 8.31/6.25 tff(20639,plain,
% 8.31/6.25 ((~(v104(constB154) <=> v1(constB153))) | (~v104(constB154)) | v1(constB153)),
% 8.31/6.25 inference(tautology,[status(thm)],[])).
% 8.31/6.25 tff(20640,plain,
% 8.31/6.25 ((~(v104(constB154) <=> v1(constB153))) | (~v104(constB154))),
% 8.31/6.25 inference(unit_resolution,[status(thm)],[20639, 16361])).
% 8.31/6.25 tff(20641,plain,
% 8.31/6.25 (~v104(constB154)),
% 8.31/6.25 inference(unit_resolution,[status(thm)],[20640, 20638])).
% 8.31/6.25 tff(20642,plain,
% 8.31/6.25 ((~((~v102(constB154)) <=> v104(constB154))) | v102(constB154) | v104(constB154)),
% 8.31/6.25 inference(tautology,[status(thm)],[])).
% 8.31/6.25 tff(20643,plain,
% 8.31/6.25 (v102(constB154)),
% 8.31/6.25 inference(unit_resolution,[status(thm)],[20642, 20641, 20634])).
% 8.31/6.25 tff(20644,plain,
% 8.31/6.25 (v1(constB154) <=> v1(constB154)),
% 8.31/6.25 inference(rewrite,[status(thm)],[])).
% 8.31/6.25 tff(20645,axiom,(v1(constB154)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_154')).
% 8.31/6.25 tff(20646,plain,
% 8.31/6.25 (v1(constB154)),
% 8.31/6.25 inference(modus_ponens,[status(thm)],[20645, 20644])).
% 8.31/6.25 tff(20647,plain,
% 8.31/6.25 ((~((~v1(constB154)) | (~v102(constB154)))) | (~v1(constB154)) | (~v102(constB154))),
% 8.31/6.25 inference(tautology,[status(thm)],[])).
% 8.31/6.25 tff(20648,plain,
% 8.31/6.25 ((~((~v1(constB154)) | (~v102(constB154)))) | (~v102(constB154))),
% 8.31/6.25 inference(unit_resolution,[status(thm)],[20647, 20646])).
% 8.31/6.25 tff(20649,plain,
% 8.31/6.25 (~((~v1(constB154)) | (~v102(constB154)))),
% 8.31/6.25 inference(unit_resolution,[status(thm)],[20648, 20643])).
% 8.31/6.25 tff(20650,plain,
% 8.31/6.25 ((~(v101(constB154) <=> (~((~v1(constB154)) | (~v102(constB154)))))) | v101(constB154) | ((~v1(constB154)) | (~v102(constB154)))),
% 8.31/6.25 inference(tautology,[status(thm)],[])).
% 8.31/6.25 tff(20651,plain,
% 8.31/6.25 (v101(constB154)),
% 8.31/6.25 inference(unit_resolution,[status(thm)],[20650, 20649, 20630])).
% 8.31/6.25 tff(20652,plain,
% 8.31/6.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB153, constB154)) | (v110(constB154) <=> v108(constB153)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB153, constB154)) | (v110(constB154) <=> v108(constB153)))),
% 8.31/6.25 inference(rewrite,[status(thm)],[])).
% 8.31/6.25 tff(20653,plain,
% 8.31/6.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB153, constB154)) | (v110(constB154) <=> v108(constB153)))),
% 8.31/6.25 inference(quant_inst,[status(thm)],[])).
% 8.31/6.25 tff(20654,plain,
% 8.31/6.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB153, constB154)) | (v110(constB154) <=> v108(constB153))),
% 8.31/6.25 inference(modus_ponens,[status(thm)],[20653, 20652])).
% 8.31/6.25 tff(20655,plain,
% 8.31/6.25 (v110(constB154) <=> v108(constB153)),
% 8.31/6.25 inference(unit_resolution,[status(thm)],[20654, 16317, 3285])).
% 8.31/6.25 tff(20656,plain,
% 8.31/6.25 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB153) <=> (v111(constB153) | v112(constB153)))),
% 8.31/6.25 inference(quant_inst,[status(thm)],[])).
% 8.31/6.25 tff(20657,plain,
% 8.31/6.25 (v108(constB153) <=> (v111(constB153) | v112(constB153))),
% 8.31/6.25 inference(unit_resolution,[status(thm)],[20656, 3296])).
% 8.31/6.25 tff(20658,plain,
% 8.31/6.25 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB153) <=> (~((~v113(constB153)) | (~v126(constB153)))))),
% 8.31/6.25 inference(quant_inst,[status(thm)],[])).
% 8.31/6.25 tff(20659,plain,
% 8.31/6.25 (v112(constB153) <=> (~((~v113(constB153)) | (~v126(constB153))))),
% 8.31/6.25 inference(unit_resolution,[status(thm)],[20658, 3308])).
% 8.31/6.25 tff(20660,plain,
% 8.31/6.25 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB153) <=> (v114(constB153) | v125(constB153)))),
% 8.31/6.25 inference(quant_inst,[status(thm)],[])).
% 8.31/6.25 tff(20661,plain,
% 8.31/6.25 (v113(constB153) <=> (v114(constB153) | v125(constB153))),
% 8.31/6.25 inference(unit_resolution,[status(thm)],[20660, 3317])).
% 8.31/6.25 tff(20662,plain,
% 8.31/6.25 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB153) <=> (v115(constB153) | v124(constB153)))),
% 8.31/6.25 inference(quant_inst,[status(thm)],[])).
% 8.31/6.25 tff(20663,plain,
% 8.31/6.25 (v114(constB153) <=> (v115(constB153) | v124(constB153))),
% 8.31/6.25 inference(unit_resolution,[status(thm)],[20662, 3326])).
% 8.31/6.25 tff(20664,plain,
% 8.31/6.25 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB153) <=> (v116(constB153) | v123(constB153)))),
% 8.31/6.25 inference(quant_inst,[status(thm)],[])).
% 8.31/6.25 tff(20665,plain,
% 8.31/6.25 (v115(constB153) <=> (v116(constB153) | v123(constB153))),
% 8.31/6.25 inference(unit_resolution,[status(thm)],[20664, 3335])).
% 8.31/6.25 tff(20666,plain,
% 8.31/6.25 ((v116(constB153) | v123(constB153)) | (~v123(constB153))),
% 8.31/6.25 inference(tautology,[status(thm)],[])).
% 8.31/6.25 tff(20667,plain,
% 8.31/6.25 (v116(constB153) | v123(constB153)),
% 8.31/6.25 inference(unit_resolution,[status(thm)],[20666, 20608])).
% 8.31/6.25 tff(20668,plain,
% 8.31/6.25 ((~(v115(constB153) <=> (v116(constB153) | v123(constB153)))) | v115(constB153) | (~(v116(constB153) | v123(constB153)))),
% 8.31/6.25 inference(tautology,[status(thm)],[])).
% 8.31/6.25 tff(20669,plain,
% 8.31/6.25 (v115(constB153)),
% 8.31/6.25 inference(unit_resolution,[status(thm)],[20668, 20667, 20665])).
% 8.31/6.25 tff(20670,plain,
% 8.31/6.25 ((v115(constB153) | v124(constB153)) | (~v115(constB153))),
% 8.31/6.25 inference(tautology,[status(thm)],[])).
% 8.31/6.25 tff(20671,plain,
% 8.31/6.25 (v115(constB153) | v124(constB153)),
% 8.31/6.25 inference(unit_resolution,[status(thm)],[20670, 20669])).
% 8.31/6.25 tff(20672,plain,
% 8.31/6.25 ((~(v114(constB153) <=> (v115(constB153) | v124(constB153)))) | v114(constB153) | (~(v115(constB153) | v124(constB153)))),
% 8.31/6.25 inference(tautology,[status(thm)],[])).
% 8.31/6.25 tff(20673,plain,
% 8.31/6.25 (v114(constB153)),
% 8.31/6.25 inference(unit_resolution,[status(thm)],[20672, 20671, 20663])).
% 8.31/6.25 tff(20674,plain,
% 8.31/6.25 ((v114(constB153) | v125(constB153)) | (~v114(constB153))),
% 8.31/6.25 inference(tautology,[status(thm)],[])).
% 8.31/6.25 tff(20675,plain,
% 8.31/6.25 (v114(constB153) | v125(constB153)),
% 8.31/6.25 inference(unit_resolution,[status(thm)],[20674, 20673])).
% 8.31/6.25 tff(20676,plain,
% 8.31/6.25 ((~(v113(constB153) <=> (v114(constB153) | v125(constB153)))) | v113(constB153) | (~(v114(constB153) | v125(constB153)))),
% 8.31/6.25 inference(tautology,[status(thm)],[])).
% 8.31/6.25 tff(20677,plain,
% 8.31/6.25 (v113(constB153)),
% 8.31/6.25 inference(unit_resolution,[status(thm)],[20676, 20675, 20661])).
% 8.31/6.25 tff(20678,plain,
% 8.31/6.25 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB153)) <=> v111(constB153))),
% 8.31/6.25 inference(quant_inst,[status(thm)],[])).
% 8.31/6.25 tff(20679,plain,
% 8.31/6.25 ((~v126(constB153)) <=> v111(constB153)),
% 8.31/6.25 inference(unit_resolution,[status(thm)],[20678, 3396])).
% 8.31/6.25 tff(20680,plain,
% 8.31/6.25 ((~((~v126(constB153)) <=> v111(constB153))) | v126(constB153) | v111(constB153)),
% 8.31/6.25 inference(tautology,[status(thm)],[])).
% 8.31/6.25 tff(20681,plain,
% 8.31/6.25 ((~((~v126(constB153)) <=> v111(constB153))) | v126(constB153)),
% 8.31/6.25 inference(unit_resolution,[status(thm)],[20680, 16330])).
% 8.31/6.25 tff(20682,plain,
% 8.31/6.25 (v126(constB153)),
% 8.31/6.25 inference(unit_resolution,[status(thm)],[20681, 20679])).
% 8.31/6.25 tff(20683,plain,
% 8.31/6.25 ((~((~v113(constB153)) | (~v126(constB153)))) | (~v113(constB153)) | (~v126(constB153))),
% 8.31/6.25 inference(tautology,[status(thm)],[])).
% 8.31/6.25 tff(20684,plain,
% 8.31/6.25 ((~((~v113(constB153)) | (~v126(constB153)))) | (~v113(constB153))),
% 8.31/6.25 inference(unit_resolution,[status(thm)],[20683, 20682])).
% 8.31/6.25 tff(20685,plain,
% 8.31/6.25 (~((~v113(constB153)) | (~v126(constB153)))),
% 8.31/6.25 inference(unit_resolution,[status(thm)],[20684, 20677])).
% 8.31/6.25 tff(20686,plain,
% 8.31/6.25 ((~(v112(constB153) <=> (~((~v113(constB153)) | (~v126(constB153)))))) | v112(constB153) | ((~v113(constB153)) | (~v126(constB153)))),
% 8.31/6.25 inference(tautology,[status(thm)],[])).
% 8.31/6.25 tff(20687,plain,
% 8.31/6.25 (v112(constB153)),
% 8.31/6.25 inference(unit_resolution,[status(thm)],[20686, 20685, 20659])).
% 8.31/6.25 tff(20688,plain,
% 8.31/6.25 ((v111(constB153) | v112(constB153)) | (~v112(constB153))),
% 8.31/6.25 inference(tautology,[status(thm)],[])).
% 8.31/6.25 tff(20689,plain,
% 8.31/6.25 (v111(constB153) | v112(constB153)),
% 8.31/6.25 inference(unit_resolution,[status(thm)],[20688, 20687])).
% 8.31/6.25 tff(20690,plain,
% 8.31/6.25 ((~(v108(constB153) <=> (v111(constB153) | v112(constB153)))) | v108(constB153) | (~(v111(constB153) | v112(constB153)))),
% 8.31/6.25 inference(tautology,[status(thm)],[])).
% 8.31/6.25 tff(20691,plain,
% 8.31/6.25 (v108(constB153)),
% 8.31/6.25 inference(unit_resolution,[status(thm)],[20690, 20689, 20657])).
% 8.31/6.25 tff(20692,plain,
% 8.31/6.25 ((~(v110(constB154) <=> v108(constB153))) | v110(constB154) | (~v108(constB153))),
% 8.31/6.25 inference(tautology,[status(thm)],[])).
% 8.31/6.25 tff(20693,plain,
% 8.31/6.25 (v110(constB154)),
% 8.31/6.25 inference(unit_resolution,[status(thm)],[20692, 20691, 20655])).
% 8.31/6.25 tff(20694,plain,
% 8.31/6.25 ((~((~v101(constB154)) | (~v110(constB154)))) | (~v101(constB154)) | (~v110(constB154))),
% 8.31/6.25 inference(tautology,[status(thm)],[])).
% 8.31/6.25 tff(20695,plain,
% 8.31/6.25 (~((~v101(constB154)) | (~v110(constB154)))),
% 8.31/6.25 inference(unit_resolution,[status(thm)],[20694, 20693, 20651])).
% 8.31/6.25 tff(20696,plain,
% 8.31/6.25 ((~(v100(constB154) <=> (~((~v101(constB154)) | (~v110(constB154)))))) | v100(constB154) | ((~v101(constB154)) | (~v110(constB154)))),
% 8.31/6.25 inference(tautology,[status(thm)],[])).
% 8.31/6.25 tff(20697,plain,
% 8.31/6.25 (v100(constB154)),
% 8.31/6.25 inference(unit_resolution,[status(thm)],[20696, 20695, 20623])).
% 8.31/6.25 tff(20698,plain,
% 8.31/6.25 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB154)) | (~(((~v90(constB154, bitIndex0)) <=> v129(constB154, bitIndex0)) | ((~v90(constB154, bitIndex2)) <=> v129(constB154, bitIndex2)) | ((~v90(constB154, bitIndex1)) <=> v129(constB154, bitIndex1)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB154)) | (~(((~v90(constB154, bitIndex0)) <=> v129(constB154, bitIndex0)) | ((~v90(constB154, bitIndex2)) <=> v129(constB154, bitIndex2)) | ((~v90(constB154, bitIndex1)) <=> v129(constB154, bitIndex1)))))),
% 8.31/6.25 inference(rewrite,[status(thm)],[])).
% 8.31/6.25 tff(20699,plain,
% 8.31/6.25 (((~v100(constB154)) | (~(((~v90(constB154, bitIndex2)) <=> v129(constB154, bitIndex2)) | ((~v90(constB154, bitIndex1)) <=> v129(constB154, bitIndex1)) | ((~v90(constB154, bitIndex0)) <=> v129(constB154, bitIndex0))))) <=> ((~v100(constB154)) | (~(((~v90(constB154, bitIndex0)) <=> v129(constB154, bitIndex0)) | ((~v90(constB154, bitIndex2)) <=> v129(constB154, bitIndex2)) | ((~v90(constB154, bitIndex1)) <=> v129(constB154, bitIndex1)))))),
% 8.31/6.25 inference(rewrite,[status(thm)],[])).
% 8.31/6.25 tff(20700,plain,
% 8.31/6.25 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB154)) | (~(((~v90(constB154, bitIndex2)) <=> v129(constB154, bitIndex2)) | ((~v90(constB154, bitIndex1)) <=> v129(constB154, bitIndex1)) | ((~v90(constB154, bitIndex0)) <=> v129(constB154, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB154)) | (~(((~v90(constB154, bitIndex0)) <=> v129(constB154, bitIndex0)) | ((~v90(constB154, bitIndex2)) <=> v129(constB154, bitIndex2)) | ((~v90(constB154, bitIndex1)) <=> v129(constB154, bitIndex1))))))),
% 8.31/6.25 inference(monotonicity,[status(thm)],[20699])).
% 8.31/6.25 tff(20701,plain,
% 8.31/6.25 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB154)) | (~(((~v90(constB154, bitIndex2)) <=> v129(constB154, bitIndex2)) | ((~v90(constB154, bitIndex1)) <=> v129(constB154, bitIndex1)) | ((~v90(constB154, bitIndex0)) <=> v129(constB154, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB154)) | (~(((~v90(constB154, bitIndex0)) <=> v129(constB154, bitIndex0)) | ((~v90(constB154, bitIndex2)) <=> v129(constB154, bitIndex2)) | ((~v90(constB154, bitIndex1)) <=> v129(constB154, bitIndex1)))))),
% 8.31/6.25 inference(transitivity,[status(thm)],[20700, 20698])).
% 8.31/6.25 tff(20702,plain,
% 8.31/6.25 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB154)) | (~(((~v90(constB154, bitIndex2)) <=> v129(constB154, bitIndex2)) | ((~v90(constB154, bitIndex1)) <=> v129(constB154, bitIndex1)) | ((~v90(constB154, bitIndex0)) <=> v129(constB154, bitIndex0)))))),
% 8.31/6.25 inference(quant_inst,[status(thm)],[])).
% 8.31/6.25 tff(20703,plain,
% 8.31/6.25 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB154)) | (~(((~v90(constB154, bitIndex0)) <=> v129(constB154, bitIndex0)) | ((~v90(constB154, bitIndex2)) <=> v129(constB154, bitIndex2)) | ((~v90(constB154, bitIndex1)) <=> v129(constB154, bitIndex1))))),
% 8.31/6.25 inference(modus_ponens,[status(thm)],[20702, 20701])).
% 8.31/6.25 tff(20704,plain,
% 8.31/6.25 ((~v100(constB154)) | (~(((~v90(constB154, bitIndex0)) <=> v129(constB154, bitIndex0)) | ((~v90(constB154, bitIndex2)) <=> v129(constB154, bitIndex2)) | ((~v90(constB154, bitIndex1)) <=> v129(constB154, bitIndex1))))),
% 8.31/6.25 inference(unit_resolution,[status(thm)],[20703, 3429])).
% 8.31/6.25 tff(20705,plain,
% 8.31/6.25 (~(((~v90(constB154, bitIndex0)) <=> v129(constB154, bitIndex0)) | ((~v90(constB154, bitIndex2)) <=> v129(constB154, bitIndex2)) | ((~v90(constB154, bitIndex1)) <=> v129(constB154, bitIndex1)))),
% 8.31/6.25 inference(unit_resolution,[status(thm)],[20704, 20697])).
% 8.31/6.25 tff(20706,plain,
% 8.31/6.25 ((((~v90(constB154, bitIndex0)) <=> v129(constB154, bitIndex0)) | ((~v90(constB154, bitIndex2)) <=> v129(constB154, bitIndex2)) | ((~v90(constB154, bitIndex1)) <=> v129(constB154, bitIndex1))) | (~((~v90(constB154, bitIndex0)) <=> v129(constB154, bitIndex0)))),
% 8.31/6.25 inference(tautology,[status(thm)],[])).
% 8.31/6.25 tff(20707,plain,
% 8.31/6.25 (~((~v90(constB154, bitIndex0)) <=> v129(constB154, bitIndex0))),
% 8.31/6.25 inference(unit_resolution,[status(thm)],[20706, 20705])).
% 8.31/6.25 tff(20708,plain,
% 8.31/6.25 (((~v90(constB154, bitIndex0)) <=> v129(constB154, bitIndex0)) | (~v90(constB154, bitIndex0)) | v129(constB154, bitIndex0)),
% 8.31/6.25 inference(tautology,[status(thm)],[])).
% 8.31/6.25 tff(20709,plain,
% 8.31/6.25 (~v90(constB154, bitIndex0)),
% 8.31/6.25 inference(unit_resolution,[status(thm)],[20708, 20707, 20619])).
% 8.31/6.25 tff(20710,plain,
% 8.31/6.25 (((~v90(constB155, bitIndex0)) <=> v90(constB154, bitIndex0)) | (~v90(constB155, bitIndex0)) | v90(constB154, bitIndex0)),
% 8.31/6.25 inference(tautology,[status(thm)],[])).
% 8.31/6.25 tff(20711,plain,
% 8.31/6.25 (~v90(constB155, bitIndex0)),
% 8.31/6.25 inference(unit_resolution,[status(thm)],[20710, 20709, 16314])).
% 8.31/6.25 tff(20712,plain,
% 8.31/6.25 ((v90(constB155, bitIndex1) | v90(constB155, bitIndex2) | (~v90(constB155, bitIndex0))) | v90(constB155, bitIndex0)),
% 8.31/6.25 inference(tautology,[status(thm)],[])).
% 8.31/6.25 tff(20713,plain,
% 8.31/6.25 (v90(constB155, bitIndex1) | v90(constB155, bitIndex2) | (~v90(constB155, bitIndex0))),
% 8.31/6.25 inference(unit_resolution,[status(thm)],[20712, 20711])).
% 8.31/6.25 tff(20714,plain,
% 8.31/6.25 ((~(v120(constB155) <=> (~(v90(constB155, bitIndex1) | v90(constB155, bitIndex2) | (~v90(constB155, bitIndex0)))))) | (~v120(constB155)) | (~(v90(constB155, bitIndex1) | v90(constB155, bitIndex2) | (~v90(constB155, bitIndex0))))),
% 8.31/6.25 inference(tautology,[status(thm)],[])).
% 8.31/6.25 tff(20715,plain,
% 8.31/6.25 (~v120(constB155)),
% 8.31/6.25 inference(unit_resolution,[status(thm)],[20714, 20713, 16278])).
% 8.31/6.25 tff(20716,plain,
% 8.31/6.25 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB155) <=> (~(v90(constB155, bitIndex1) | (~v90(constB155, bitIndex2)) | (~v90(constB155, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB155) <=> (~(v90(constB155, bitIndex1) | (~v90(constB155, bitIndex2)) | (~v90(constB155, bitIndex0))))))),
% 8.31/6.25 inference(rewrite,[status(thm)],[])).
% 8.31/6.25 tff(20717,plain,
% 8.31/6.25 ((v124(constB155) <=> (~(v90(constB155, bitIndex1) | (~v90(constB155, bitIndex0)) | (~v90(constB155, bitIndex2))))) <=> (v124(constB155) <=> (~(v90(constB155, bitIndex1) | (~v90(constB155, bitIndex2)) | (~v90(constB155, bitIndex0)))))),
% 8.31/6.25 inference(rewrite,[status(thm)],[])).
% 8.31/6.25 tff(20718,plain,
% 8.31/6.25 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB155) <=> (~(v90(constB155, bitIndex1) | (~v90(constB155, bitIndex0)) | (~v90(constB155, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB155) <=> (~(v90(constB155, bitIndex1) | (~v90(constB155, bitIndex2)) | (~v90(constB155, bitIndex0))))))),
% 8.31/6.25 inference(monotonicity,[status(thm)],[20717])).
% 8.31/6.25 tff(20719,plain,
% 8.31/6.25 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB155) <=> (~(v90(constB155, bitIndex1) | (~v90(constB155, bitIndex0)) | (~v90(constB155, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB155) <=> (~(v90(constB155, bitIndex1) | (~v90(constB155, bitIndex2)) | (~v90(constB155, bitIndex0))))))),
% 8.31/6.25 inference(transitivity,[status(thm)],[20718, 20716])).
% 8.31/6.25 tff(20720,plain,
% 8.31/6.25 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB155) <=> (~(v90(constB155, bitIndex1) | (~v90(constB155, bitIndex0)) | (~v90(constB155, bitIndex2)))))),
% 8.31/6.25 inference(quant_inst,[status(thm)],[])).
% 8.31/6.25 tff(20721,plain,
% 8.31/6.25 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB155) <=> (~(v90(constB155, bitIndex1) | (~v90(constB155, bitIndex2)) | (~v90(constB155, bitIndex0)))))),
% 8.31/6.25 inference(modus_ponens,[status(thm)],[20720, 20719])).
% 8.31/6.25 tff(20722,plain,
% 8.31/6.25 (v124(constB155) <=> (~(v90(constB155, bitIndex1) | (~v90(constB155, bitIndex2)) | (~v90(constB155, bitIndex0))))),
% 8.31/6.25 inference(unit_resolution,[status(thm)],[20721, 3613])).
% 8.31/6.25 tff(20723,plain,
% 8.31/6.25 ((v90(constB155, bitIndex1) | (~v90(constB155, bitIndex2)) | (~v90(constB155, bitIndex0))) | v90(constB155, bitIndex0)),
% 8.31/6.25 inference(tautology,[status(thm)],[])).
% 8.31/6.25 tff(20724,plain,
% 8.31/6.25 (v90(constB155, bitIndex1) | (~v90(constB155, bitIndex2)) | (~v90(constB155, bitIndex0))),
% 8.31/6.25 inference(unit_resolution,[status(thm)],[20723, 20711])).
% 8.31/6.25 tff(20725,plain,
% 8.31/6.25 ((~(v124(constB155) <=> (~(v90(constB155, bitIndex1) | (~v90(constB155, bitIndex2)) | (~v90(constB155, bitIndex0)))))) | (~v124(constB155)) | (~(v90(constB155, bitIndex1) | (~v90(constB155, bitIndex2)) | (~v90(constB155, bitIndex0))))),
% 8.31/6.25 inference(tautology,[status(thm)],[])).
% 8.31/6.25 tff(20726,plain,
% 8.31/6.25 (~v124(constB155)),
% 8.31/6.25 inference(unit_resolution,[status(thm)],[20725, 20724, 20722])).
% 8.31/6.25 tff(20727,plain,
% 8.31/6.25 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB155) <=> (~(v90(constB155, bitIndex1) | v90(constB155, bitIndex0) | (~v90(constB155, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB155) <=> (~(v90(constB155, bitIndex1) | v90(constB155, bitIndex0) | (~v90(constB155, bitIndex2))))))),
% 8.31/6.25 inference(rewrite,[status(thm)],[])).
% 8.31/6.25 tff(20728,plain,
% 8.31/6.25 ((v123(constB155) <=> (~(v90(constB155, bitIndex0) | v90(constB155, bitIndex1) | (~v90(constB155, bitIndex2))))) <=> (v123(constB155) <=> (~(v90(constB155, bitIndex1) | v90(constB155, bitIndex0) | (~v90(constB155, bitIndex2)))))),
% 8.31/6.25 inference(rewrite,[status(thm)],[])).
% 8.31/6.25 tff(20729,plain,
% 8.31/6.25 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB155) <=> (~(v90(constB155, bitIndex0) | v90(constB155, bitIndex1) | (~v90(constB155, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB155) <=> (~(v90(constB155, bitIndex1) | v90(constB155, bitIndex0) | (~v90(constB155, bitIndex2))))))),
% 8.31/6.25 inference(monotonicity,[status(thm)],[20728])).
% 8.31/6.25 tff(20730,plain,
% 8.31/6.25 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB155) <=> (~(v90(constB155, bitIndex0) | v90(constB155, bitIndex1) | (~v90(constB155, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB155) <=> (~(v90(constB155, bitIndex1) | v90(constB155, bitIndex0) | (~v90(constB155, bitIndex2))))))),
% 8.31/6.26 inference(transitivity,[status(thm)],[20729, 20727])).
% 8.31/6.26 tff(20731,plain,
% 8.31/6.26 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB155) <=> (~(v90(constB155, bitIndex0) | v90(constB155, bitIndex1) | (~v90(constB155, bitIndex2)))))),
% 8.31/6.26 inference(quant_inst,[status(thm)],[])).
% 8.31/6.26 tff(20732,plain,
% 8.31/6.26 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB155) <=> (~(v90(constB155, bitIndex1) | v90(constB155, bitIndex0) | (~v90(constB155, bitIndex2)))))),
% 8.31/6.26 inference(modus_ponens,[status(thm)],[20731, 20730])).
% 8.31/6.26 tff(20733,plain,
% 8.31/6.26 (v123(constB155) <=> (~(v90(constB155, bitIndex1) | v90(constB155, bitIndex0) | (~v90(constB155, bitIndex2))))),
% 8.31/6.26 inference(unit_resolution,[status(thm)],[20732, 800])).
% 8.31/6.26 tff(20734,plain,
% 8.31/6.26 ((((~v90(constB155, bitIndex1)) <=> v90(constB154, bitIndex1)) | ((~v90(constB155, bitIndex2)) <=> v90(constB154, bitIndex2)) | ((~v90(constB155, bitIndex0)) <=> v90(constB154, bitIndex0))) | (~((~v90(constB155, bitIndex1)) <=> v90(constB154, bitIndex1)))),
% 8.31/6.26 inference(tautology,[status(thm)],[])).
% 8.31/6.26 tff(20735,plain,
% 8.31/6.26 (~((~v90(constB155, bitIndex1)) <=> v90(constB154, bitIndex1))),
% 8.31/6.26 inference(unit_resolution,[status(thm)],[20734, 16312])).
% 8.31/6.26 tff(20736,plain,
% 8.31/6.26 ((((~v129(constB154, bitIndex2)) <=> v127(constB153, bitIndex2)) | ((~v129(constB154, bitIndex1)) <=> v127(constB153, bitIndex1)) | ((~v129(constB154, bitIndex0)) <=> v127(constB153, bitIndex0))) | (~((~v129(constB154, bitIndex1)) <=> v127(constB153, bitIndex1)))),
% 8.31/6.26 inference(tautology,[status(thm)],[])).
% 8.31/6.26 tff(20737,plain,
% 8.31/6.26 (~((~v129(constB154, bitIndex1)) <=> v127(constB153, bitIndex1))),
% 8.31/6.26 inference(unit_resolution,[status(thm)],[20736, 16321])).
% 8.31/6.26 tff(20738,plain,
% 8.31/6.26 ((((~v127(constB153, bitIndex2)) <=> v130(constB153, bitIndex2)) | ((~v127(constB153, bitIndex1)) <=> v130(constB153, bitIndex1)) | ((~v127(constB153, bitIndex0)) <=> v130(constB153, bitIndex0))) | (~((~v127(constB153, bitIndex1)) <=> v130(constB153, bitIndex1)))),
% 8.31/6.26 inference(tautology,[status(thm)],[])).
% 8.31/6.26 tff(20739,plain,
% 8.31/6.26 (~((~v127(constB153, bitIndex1)) <=> v130(constB153, bitIndex1))),
% 8.31/6.26 inference(unit_resolution,[status(thm)],[20738, 16335])).
% 8.31/6.26 tff(20740,plain,
% 8.31/6.26 ((v130(constB153, bitIndex0) | (~v130(constB153, bitIndex2)) | (~v130(constB153, bitIndex1))) | v130(constB153, bitIndex1)),
% 8.31/6.26 inference(tautology,[status(thm)],[])).
% 8.31/6.26 tff(20741,plain,
% 8.31/6.26 (v130(constB153, bitIndex1)),
% 8.31/6.26 inference(unit_resolution,[status(thm)],[20740, 20613])).
% 8.31/6.26 tff(20742,plain,
% 8.31/6.26 (((~v127(constB153, bitIndex1)) <=> v130(constB153, bitIndex1)) | v127(constB153, bitIndex1) | (~v130(constB153, bitIndex1))),
% 8.31/6.26 inference(tautology,[status(thm)],[])).
% 8.31/6.26 tff(20743,plain,
% 8.31/6.26 (v127(constB153, bitIndex1)),
% 8.31/6.26 inference(unit_resolution,[status(thm)],[20742, 20741, 20739])).
% 8.31/6.26 tff(20744,plain,
% 8.31/6.26 (((~v129(constB154, bitIndex1)) <=> v127(constB153, bitIndex1)) | v129(constB154, bitIndex1) | (~v127(constB153, bitIndex1))),
% 8.31/6.26 inference(tautology,[status(thm)],[])).
% 8.31/6.26 tff(20745,plain,
% 8.31/6.26 (v129(constB154, bitIndex1)),
% 8.31/6.26 inference(unit_resolution,[status(thm)],[20744, 20743, 20737])).
% 8.31/6.26 tff(20746,plain,
% 8.31/6.26 ((((~v90(constB154, bitIndex0)) <=> v129(constB154, bitIndex0)) | ((~v90(constB154, bitIndex2)) <=> v129(constB154, bitIndex2)) | ((~v90(constB154, bitIndex1)) <=> v129(constB154, bitIndex1))) | (~((~v90(constB154, bitIndex1)) <=> v129(constB154, bitIndex1)))),
% 8.31/6.26 inference(tautology,[status(thm)],[])).
% 8.31/6.26 tff(20747,plain,
% 8.31/6.26 (~((~v90(constB154, bitIndex1)) <=> v129(constB154, bitIndex1))),
% 8.31/6.26 inference(unit_resolution,[status(thm)],[20746, 20705])).
% 8.31/6.26 tff(20748,plain,
% 8.31/6.26 (((~v90(constB154, bitIndex1)) <=> v129(constB154, bitIndex1)) | v90(constB154, bitIndex1) | (~v129(constB154, bitIndex1))),
% 8.31/6.26 inference(tautology,[status(thm)],[])).
% 8.31/6.26 tff(20749,plain,
% 8.31/6.26 (v90(constB154, bitIndex1)),
% 8.31/6.26 inference(unit_resolution,[status(thm)],[20748, 20747, 20745])).
% 8.31/6.26 tff(20750,plain,
% 8.31/6.26 (((~v90(constB155, bitIndex1)) <=> v90(constB154, bitIndex1)) | v90(constB155, bitIndex1) | (~v90(constB154, bitIndex1))),
% 8.31/6.26 inference(tautology,[status(thm)],[])).
% 8.31/6.26 tff(20751,plain,
% 8.31/6.26 (v90(constB155, bitIndex1)),
% 8.31/6.26 inference(unit_resolution,[status(thm)],[20750, 20749, 20735])).
% 8.31/6.26 tff(20752,plain,
% 8.31/6.26 ((v90(constB155, bitIndex1) | v90(constB155, bitIndex0) | (~v90(constB155, bitIndex2))) | (~v90(constB155, bitIndex1))),
% 8.31/6.26 inference(tautology,[status(thm)],[])).
% 8.31/6.26 tff(20753,plain,
% 8.31/6.26 (v90(constB155, bitIndex1) | v90(constB155, bitIndex0) | (~v90(constB155, bitIndex2))),
% 8.31/6.26 inference(unit_resolution,[status(thm)],[20752, 20751])).
% 8.31/6.26 tff(20754,plain,
% 8.31/6.26 ((~(v123(constB155) <=> (~(v90(constB155, bitIndex1) | v90(constB155, bitIndex0) | (~v90(constB155, bitIndex2)))))) | (~v123(constB155)) | (~(v90(constB155, bitIndex1) | v90(constB155, bitIndex0) | (~v90(constB155, bitIndex2))))),
% 8.31/6.26 inference(tautology,[status(thm)],[])).
% 8.31/6.26 tff(20755,plain,
% 8.31/6.26 (~v123(constB155)),
% 8.31/6.26 inference(unit_resolution,[status(thm)],[20754, 20753, 20733])).
% 8.31/6.26 tff(20756,plain,
% 8.31/6.26 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB155) <=> (~(v90(constB155, bitIndex2) | (~v90(constB155, bitIndex1)) | (~v90(constB155, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB155) <=> (~(v90(constB155, bitIndex2) | (~v90(constB155, bitIndex1)) | (~v90(constB155, bitIndex0))))))),
% 8.31/6.26 inference(rewrite,[status(thm)],[])).
% 8.31/6.26 tff(20757,plain,
% 8.31/6.26 ((v122(constB155) <=> (~(v90(constB155, bitIndex2) | (~v90(constB155, bitIndex0)) | (~v90(constB155, bitIndex1))))) <=> (v122(constB155) <=> (~(v90(constB155, bitIndex2) | (~v90(constB155, bitIndex1)) | (~v90(constB155, bitIndex0)))))),
% 8.31/6.26 inference(rewrite,[status(thm)],[])).
% 8.31/6.26 tff(20758,plain,
% 8.31/6.26 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB155) <=> (~(v90(constB155, bitIndex2) | (~v90(constB155, bitIndex0)) | (~v90(constB155, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB155) <=> (~(v90(constB155, bitIndex2) | (~v90(constB155, bitIndex1)) | (~v90(constB155, bitIndex0))))))),
% 8.31/6.26 inference(monotonicity,[status(thm)],[20757])).
% 8.31/6.26 tff(20759,plain,
% 8.31/6.26 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB155) <=> (~(v90(constB155, bitIndex2) | (~v90(constB155, bitIndex0)) | (~v90(constB155, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB155) <=> (~(v90(constB155, bitIndex2) | (~v90(constB155, bitIndex1)) | (~v90(constB155, bitIndex0))))))),
% 8.31/6.26 inference(transitivity,[status(thm)],[20758, 20756])).
% 8.31/6.26 tff(20760,plain,
% 8.31/6.26 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB155) <=> (~(v90(constB155, bitIndex2) | (~v90(constB155, bitIndex0)) | (~v90(constB155, bitIndex1)))))),
% 8.31/6.26 inference(quant_inst,[status(thm)],[])).
% 8.31/6.26 tff(20761,plain,
% 8.31/6.26 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB155) <=> (~(v90(constB155, bitIndex2) | (~v90(constB155, bitIndex1)) | (~v90(constB155, bitIndex0)))))),
% 8.31/6.26 inference(modus_ponens,[status(thm)],[20760, 20759])).
% 8.31/6.26 tff(20762,plain,
% 8.31/6.26 (v122(constB155) <=> (~(v90(constB155, bitIndex2) | (~v90(constB155, bitIndex1)) | (~v90(constB155, bitIndex0))))),
% 8.31/6.26 inference(unit_resolution,[status(thm)],[20761, 879])).
% 8.31/6.26 tff(20763,plain,
% 8.31/6.26 ((v90(constB155, bitIndex2) | (~v90(constB155, bitIndex1)) | (~v90(constB155, bitIndex0))) | v90(constB155, bitIndex0)),
% 8.31/6.26 inference(tautology,[status(thm)],[])).
% 8.31/6.26 tff(20764,plain,
% 8.31/6.26 (v90(constB155, bitIndex2) | (~v90(constB155, bitIndex1)) | (~v90(constB155, bitIndex0))),
% 8.31/6.26 inference(unit_resolution,[status(thm)],[20763, 20711])).
% 8.31/6.26 tff(20765,plain,
% 8.31/6.26 ((~(v122(constB155) <=> (~(v90(constB155, bitIndex2) | (~v90(constB155, bitIndex1)) | (~v90(constB155, bitIndex0)))))) | (~v122(constB155)) | (~(v90(constB155, bitIndex2) | (~v90(constB155, bitIndex1)) | (~v90(constB155, bitIndex0))))),
% 8.31/6.26 inference(tautology,[status(thm)],[])).
% 8.31/6.26 tff(20766,plain,
% 8.31/6.26 (~v122(constB155)),
% 8.31/6.26 inference(unit_resolution,[status(thm)],[20765, 20764, 20762])).
% 8.31/6.26 tff(20767,plain,
% 8.31/6.26 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB155) <=> (~(v90(constB155, bitIndex2) | v90(constB155, bitIndex0) | (~v90(constB155, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB155) <=> (~(v90(constB155, bitIndex2) | v90(constB155, bitIndex0) | (~v90(constB155, bitIndex1))))))),
% 8.31/6.26 inference(rewrite,[status(thm)],[])).
% 8.31/6.26 tff(20768,plain,
% 8.31/6.26 ((v121(constB155) <=> (~(v90(constB155, bitIndex0) | v90(constB155, bitIndex2) | (~v90(constB155, bitIndex1))))) <=> (v121(constB155) <=> (~(v90(constB155, bitIndex2) | v90(constB155, bitIndex0) | (~v90(constB155, bitIndex1)))))),
% 8.31/6.26 inference(rewrite,[status(thm)],[])).
% 8.31/6.26 tff(20769,plain,
% 8.31/6.26 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB155) <=> (~(v90(constB155, bitIndex0) | v90(constB155, bitIndex2) | (~v90(constB155, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB155) <=> (~(v90(constB155, bitIndex2) | v90(constB155, bitIndex0) | (~v90(constB155, bitIndex1))))))),
% 8.31/6.26 inference(monotonicity,[status(thm)],[20768])).
% 8.31/6.26 tff(20770,plain,
% 8.31/6.26 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB155) <=> (~(v90(constB155, bitIndex0) | v90(constB155, bitIndex2) | (~v90(constB155, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB155) <=> (~(v90(constB155, bitIndex2) | v90(constB155, bitIndex0) | (~v90(constB155, bitIndex1))))))),
% 8.31/6.26 inference(transitivity,[status(thm)],[20769, 20767])).
% 8.31/6.26 tff(20771,plain,
% 8.31/6.26 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB155) <=> (~(v90(constB155, bitIndex0) | v90(constB155, bitIndex2) | (~v90(constB155, bitIndex1)))))),
% 8.31/6.26 inference(quant_inst,[status(thm)],[])).
% 8.31/6.26 tff(20772,plain,
% 8.31/6.26 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB155) <=> (~(v90(constB155, bitIndex2) | v90(constB155, bitIndex0) | (~v90(constB155, bitIndex1)))))),
% 8.31/6.26 inference(modus_ponens,[status(thm)],[20771, 20770])).
% 8.31/6.26 tff(20773,plain,
% 8.31/6.26 (v121(constB155) <=> (~(v90(constB155, bitIndex2) | v90(constB155, bitIndex0) | (~v90(constB155, bitIndex1))))),
% 8.31/6.26 inference(unit_resolution,[status(thm)],[20772, 586])).
% 8.31/6.26 tff(20774,plain,
% 8.31/6.26 ((((~v90(constB155, bitIndex1)) <=> v90(constB154, bitIndex1)) | ((~v90(constB155, bitIndex2)) <=> v90(constB154, bitIndex2)) | ((~v90(constB155, bitIndex0)) <=> v90(constB154, bitIndex0))) | (~((~v90(constB155, bitIndex2)) <=> v90(constB154, bitIndex2)))),
% 8.31/6.26 inference(tautology,[status(thm)],[])).
% 8.31/6.26 tff(20775,plain,
% 8.31/6.26 (~((~v90(constB155, bitIndex2)) <=> v90(constB154, bitIndex2))),
% 8.31/6.26 inference(unit_resolution,[status(thm)],[20774, 16312])).
% 8.31/6.26 tff(20776,plain,
% 8.31/6.26 ((((~v129(constB154, bitIndex2)) <=> v127(constB153, bitIndex2)) | ((~v129(constB154, bitIndex1)) <=> v127(constB153, bitIndex1)) | ((~v129(constB154, bitIndex0)) <=> v127(constB153, bitIndex0))) | (~((~v129(constB154, bitIndex2)) <=> v127(constB153, bitIndex2)))),
% 8.31/6.26 inference(tautology,[status(thm)],[])).
% 8.31/6.26 tff(20777,plain,
% 8.31/6.26 (~((~v129(constB154, bitIndex2)) <=> v127(constB153, bitIndex2))),
% 8.31/6.26 inference(unit_resolution,[status(thm)],[20776, 16321])).
% 8.31/6.26 tff(20778,plain,
% 8.31/6.26 ((((~v127(constB153, bitIndex2)) <=> v130(constB153, bitIndex2)) | ((~v127(constB153, bitIndex1)) <=> v130(constB153, bitIndex1)) | ((~v127(constB153, bitIndex0)) <=> v130(constB153, bitIndex0))) | (~((~v127(constB153, bitIndex2)) <=> v130(constB153, bitIndex2)))),
% 8.31/6.26 inference(tautology,[status(thm)],[])).
% 8.31/6.26 tff(20779,plain,
% 8.31/6.26 (~((~v127(constB153, bitIndex2)) <=> v130(constB153, bitIndex2))),
% 8.31/6.26 inference(unit_resolution,[status(thm)],[20778, 16335])).
% 8.31/6.26 tff(20780,plain,
% 8.31/6.26 ((v130(constB153, bitIndex0) | (~v130(constB153, bitIndex2)) | (~v130(constB153, bitIndex1))) | v130(constB153, bitIndex2)),
% 8.31/6.26 inference(tautology,[status(thm)],[])).
% 8.31/6.26 tff(20781,plain,
% 8.31/6.26 (v130(constB153, bitIndex2)),
% 8.31/6.26 inference(unit_resolution,[status(thm)],[20780, 20613])).
% 8.31/6.26 tff(20782,plain,
% 8.31/6.26 (((~v127(constB153, bitIndex2)) <=> v130(constB153, bitIndex2)) | v127(constB153, bitIndex2) | (~v130(constB153, bitIndex2))),
% 8.31/6.26 inference(tautology,[status(thm)],[])).
% 8.31/6.26 tff(20783,plain,
% 8.31/6.26 (v127(constB153, bitIndex2)),
% 8.31/6.26 inference(unit_resolution,[status(thm)],[20782, 20781, 20779])).
% 8.31/6.26 tff(20784,plain,
% 8.31/6.26 (((~v129(constB154, bitIndex2)) <=> v127(constB153, bitIndex2)) | v129(constB154, bitIndex2) | (~v127(constB153, bitIndex2))),
% 8.31/6.26 inference(tautology,[status(thm)],[])).
% 8.31/6.26 tff(20785,plain,
% 8.31/6.26 (v129(constB154, bitIndex2)),
% 8.31/6.26 inference(unit_resolution,[status(thm)],[20784, 20783, 20777])).
% 8.31/6.26 tff(20786,plain,
% 8.31/6.26 ((((~v90(constB154, bitIndex0)) <=> v129(constB154, bitIndex0)) | ((~v90(constB154, bitIndex2)) <=> v129(constB154, bitIndex2)) | ((~v90(constB154, bitIndex1)) <=> v129(constB154, bitIndex1))) | (~((~v90(constB154, bitIndex2)) <=> v129(constB154, bitIndex2)))),
% 8.31/6.26 inference(tautology,[status(thm)],[])).
% 8.31/6.26 tff(20787,plain,
% 8.31/6.26 (~((~v90(constB154, bitIndex2)) <=> v129(constB154, bitIndex2))),
% 8.31/6.26 inference(unit_resolution,[status(thm)],[20786, 20705])).
% 8.31/6.26 tff(20788,plain,
% 8.31/6.26 (((~v90(constB154, bitIndex2)) <=> v129(constB154, bitIndex2)) | v90(constB154, bitIndex2) | (~v129(constB154, bitIndex2))),
% 8.31/6.26 inference(tautology,[status(thm)],[])).
% 8.31/6.26 tff(20789,plain,
% 8.31/6.26 (v90(constB154, bitIndex2)),
% 8.31/6.26 inference(unit_resolution,[status(thm)],[20788, 20787, 20785])).
% 8.31/6.26 tff(20790,plain,
% 8.31/6.26 (((~v90(constB155, bitIndex2)) <=> v90(constB154, bitIndex2)) | v90(constB155, bitIndex2) | (~v90(constB154, bitIndex2))),
% 8.31/6.26 inference(tautology,[status(thm)],[])).
% 8.31/6.26 tff(20791,plain,
% 8.31/6.26 (v90(constB155, bitIndex2)),
% 8.31/6.26 inference(unit_resolution,[status(thm)],[20790, 20789, 20775])).
% 8.31/6.26 tff(20792,plain,
% 8.31/6.26 ((v90(constB155, bitIndex2) | v90(constB155, bitIndex0) | (~v90(constB155, bitIndex1))) | (~v90(constB155, bitIndex2))),
% 8.31/6.26 inference(tautology,[status(thm)],[])).
% 8.31/6.26 tff(20793,plain,
% 8.31/6.26 (v90(constB155, bitIndex2) | v90(constB155, bitIndex0) | (~v90(constB155, bitIndex1))),
% 8.31/6.26 inference(unit_resolution,[status(thm)],[20792, 20791])).
% 8.31/6.26 tff(20794,plain,
% 8.31/6.26 ((~(v121(constB155) <=> (~(v90(constB155, bitIndex2) | v90(constB155, bitIndex0) | (~v90(constB155, bitIndex1)))))) | (~v121(constB155)) | (~(v90(constB155, bitIndex2) | v90(constB155, bitIndex0) | (~v90(constB155, bitIndex1))))),
% 8.31/6.26 inference(tautology,[status(thm)],[])).
% 8.31/6.26 tff(20795,plain,
% 8.31/6.26 (~v121(constB155)),
% 8.31/6.26 inference(unit_resolution,[status(thm)],[20794, 20793, 20773])).
% 8.31/6.26 tff(20796,plain,
% 8.31/6.26 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB155) <=> (~(v90(constB155, bitIndex0) | v90(constB155, bitIndex1) | v90(constB155, bitIndex2))))),
% 8.31/6.26 inference(quant_inst,[status(thm)],[])).
% 8.31/6.26 tff(20797,plain,
% 8.31/6.26 (v119(constB155) <=> (~(v90(constB155, bitIndex0) | v90(constB155, bitIndex1) | v90(constB155, bitIndex2)))),
% 8.31/6.26 inference(unit_resolution,[status(thm)],[20796, 1085])).
% 8.31/6.26 tff(20798,plain,
% 8.31/6.26 ((v90(constB155, bitIndex0) | v90(constB155, bitIndex1) | v90(constB155, bitIndex2)) | (~v90(constB155, bitIndex2))),
% 8.31/6.26 inference(tautology,[status(thm)],[])).
% 8.31/6.26 tff(20799,plain,
% 8.31/6.26 (v90(constB155, bitIndex0) | v90(constB155, bitIndex1) | v90(constB155, bitIndex2)),
% 8.31/6.26 inference(unit_resolution,[status(thm)],[20798, 20791])).
% 8.31/6.26 tff(20800,plain,
% 8.31/6.26 ((~(v119(constB155) <=> (~(v90(constB155, bitIndex0) | v90(constB155, bitIndex1) | v90(constB155, bitIndex2))))) | (~v119(constB155)) | (~(v90(constB155, bitIndex0) | v90(constB155, bitIndex1) | v90(constB155, bitIndex2)))),
% 8.31/6.26 inference(tautology,[status(thm)],[])).
% 8.31/6.26 tff(20801,plain,
% 8.31/6.26 (~v119(constB155)),
% 8.31/6.26 inference(unit_resolution,[status(thm)],[20800, 20799, 20797])).
% 8.31/6.26 tff(20802,plain,
% 8.31/6.26 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v119(constB155) | v120(constB155) | v121(constB155) | v122(constB155) | v123(constB155) | v124(constB155) | (~(v130(constB155, bitIndex2) | v130(constB155, bitIndex1) | (~v130(constB155, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | v119(constB155) | v120(constB155) | v121(constB155) | v122(constB155) | v123(constB155) | v124(constB155) | (~(v130(constB155, bitIndex2) | v130(constB155, bitIndex1) | (~v130(constB155, bitIndex0)))))),
% 8.31/6.26 inference(rewrite,[status(thm)],[])).
% 8.31/6.26 tff(20803,plain,
% 8.31/6.26 ((v124(constB155) | v123(constB155) | v122(constB155) | v121(constB155) | v120(constB155) | v119(constB155) | (~(v130(constB155, bitIndex2) | v130(constB155, bitIndex1) | (~v130(constB155, bitIndex0))))) <=> (v119(constB155) | v120(constB155) | v121(constB155) | v122(constB155) | v123(constB155) | v124(constB155) | (~(v130(constB155, bitIndex2) | v130(constB155, bitIndex1) | (~v130(constB155, bitIndex0)))))),
% 8.31/6.26 inference(rewrite,[status(thm)],[])).
% 8.31/6.26 tff(20804,plain,
% 8.31/6.26 ((~(v130(constB155, bitIndex1) | v130(constB155, bitIndex2) | (~v130(constB155, bitIndex0)))) <=> (~(v130(constB155, bitIndex2) | v130(constB155, bitIndex1) | (~v130(constB155, bitIndex0))))),
% 8.31/6.26 inference(rewrite,[status(thm)],[])).
% 8.31/6.26 tff(20805,plain,
% 8.31/6.26 ((v124(constB155) | v123(constB155) | v122(constB155) | v121(constB155) | v120(constB155) | v119(constB155) | (~(v130(constB155, bitIndex1) | v130(constB155, bitIndex2) | (~v130(constB155, bitIndex0))))) <=> (v124(constB155) | v123(constB155) | v122(constB155) | v121(constB155) | v120(constB155) | v119(constB155) | (~(v130(constB155, bitIndex2) | v130(constB155, bitIndex1) | (~v130(constB155, bitIndex0)))))),
% 8.31/6.26 inference(monotonicity,[status(thm)],[20804])).
% 8.31/6.26 tff(20806,plain,
% 8.31/6.26 ((v124(constB155) | v123(constB155) | v122(constB155) | v121(constB155) | v120(constB155) | v119(constB155) | (~(v130(constB155, bitIndex1) | v130(constB155, bitIndex2) | (~v130(constB155, bitIndex0))))) <=> (v119(constB155) | v120(constB155) | v121(constB155) | v122(constB155) | v123(constB155) | v124(constB155) | (~(v130(constB155, bitIndex2) | v130(constB155, bitIndex1) | (~v130(constB155, bitIndex0)))))),
% 8.31/6.26 inference(transitivity,[status(thm)],[20805, 20803])).
% 8.31/6.26 tff(20807,plain,
% 8.31/6.26 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB155) | v123(constB155) | v122(constB155) | v121(constB155) | v120(constB155) | v119(constB155) | (~(v130(constB155, bitIndex1) | v130(constB155, bitIndex2) | (~v130(constB155, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v119(constB155) | v120(constB155) | v121(constB155) | v122(constB155) | v123(constB155) | v124(constB155) | (~(v130(constB155, bitIndex2) | v130(constB155, bitIndex1) | (~v130(constB155, bitIndex0))))))),
% 8.31/6.26 inference(monotonicity,[status(thm)],[20806])).
% 8.31/6.26 tff(20808,plain,
% 8.31/6.26 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB155) | v123(constB155) | v122(constB155) | v121(constB155) | v120(constB155) | v119(constB155) | (~(v130(constB155, bitIndex1) | v130(constB155, bitIndex2) | (~v130(constB155, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | v119(constB155) | v120(constB155) | v121(constB155) | v122(constB155) | v123(constB155) | v124(constB155) | (~(v130(constB155, bitIndex2) | v130(constB155, bitIndex1) | (~v130(constB155, bitIndex0)))))),
% 8.31/6.26 inference(transitivity,[status(thm)],[20807, 20802])).
% 8.31/6.26 tff(20809,plain,
% 8.31/6.26 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB155) | v123(constB155) | v122(constB155) | v121(constB155) | v120(constB155) | v119(constB155) | (~(v130(constB155, bitIndex1) | v130(constB155, bitIndex2) | (~v130(constB155, bitIndex0)))))),
% 8.31/6.26 inference(quant_inst,[status(thm)],[])).
% 8.31/6.26 tff(20810,plain,
% 8.31/6.26 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | v119(constB155) | v120(constB155) | v121(constB155) | v122(constB155) | v123(constB155) | v124(constB155) | (~(v130(constB155, bitIndex2) | v130(constB155, bitIndex1) | (~v130(constB155, bitIndex0))))),
% 8.31/6.26 inference(modus_ponens,[status(thm)],[20809, 20808])).
% 8.31/6.26 tff(20811,plain,
% 8.31/6.26 (v119(constB155) | v120(constB155) | v121(constB155) | v122(constB155) | v123(constB155) | v124(constB155) | (~(v130(constB155, bitIndex2) | v130(constB155, bitIndex1) | (~v130(constB155, bitIndex0))))),
% 8.31/6.26 inference(unit_resolution,[status(thm)],[20810, 3694])).
% 8.31/6.26 tff(20812,plain,
% 8.31/6.26 (~(v130(constB155, bitIndex2) | v130(constB155, bitIndex1) | (~v130(constB155, bitIndex0)))),
% 8.31/6.26 inference(unit_resolution,[status(thm)],[20811, 20801, 20795, 20766, 20755, 20726, 20715])).
% 8.31/6.26 tff(20813,plain,
% 8.31/6.26 ((v130(constB155, bitIndex2) | v130(constB155, bitIndex1) | (~v130(constB155, bitIndex0))) | (~v130(constB155, bitIndex2))),
% 8.31/6.26 inference(tautology,[status(thm)],[])).
% 8.31/6.26 tff(20814,plain,
% 8.31/6.26 (~v130(constB155, bitIndex2)),
% 8.31/6.26 inference(unit_resolution,[status(thm)],[20813, 20812])).
% 8.31/6.26 tff(20815,plain,
% 8.31/6.26 (((~v127(constB155, bitIndex2)) <=> v130(constB155, bitIndex2)) | (~v127(constB155, bitIndex2)) | v130(constB155, bitIndex2)),
% 8.31/6.26 inference(tautology,[status(thm)],[])).
% 8.31/6.26 tff(20816,plain,
% 8.31/6.26 (~v127(constB155, bitIndex2)),
% 8.31/6.26 inference(unit_resolution,[status(thm)],[20815, 20814, 16276])).
% 8.31/6.26 tff(20817,plain,
% 8.31/6.26 (((~v129(constB156, bitIndex2)) <=> v127(constB155, bitIndex2)) | (~v129(constB156, bitIndex2)) | v127(constB155, bitIndex2)),
% 8.31/6.26 inference(tautology,[status(thm)],[])).
% 8.31/6.26 tff(20818,plain,
% 8.31/6.26 (~v129(constB156, bitIndex2)),
% 8.31/6.26 inference(unit_resolution,[status(thm)],[20817, 20816, 16262])).
% 8.31/6.26 tff(20819,plain,
% 8.31/6.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB155, constB156)) | (v100(constB156) <=> (~((~v101(constB156)) | (~v110(constB156))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB155, constB156)) | (v100(constB156) <=> (~((~v101(constB156)) | (~v110(constB156))))))),
% 8.31/6.26 inference(rewrite,[status(thm)],[])).
% 8.31/6.26 tff(20820,plain,
% 8.31/6.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB155, constB156)) | (v100(constB156) <=> (~((~v101(constB156)) | (~v110(constB156))))))),
% 8.31/6.26 inference(quant_inst,[status(thm)],[])).
% 8.31/6.26 tff(20821,plain,
% 8.31/6.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB155, constB156)) | (v100(constB156) <=> (~((~v101(constB156)) | (~v110(constB156)))))),
% 8.31/6.26 inference(modus_ponens,[status(thm)],[20820, 20819])).
% 8.31/6.26 tff(20822,plain,
% 8.31/6.26 (v100(constB156) <=> (~((~v101(constB156)) | (~v110(constB156))))),
% 8.31/6.26 inference(unit_resolution,[status(thm)],[20821, 16256, 445])).
% 8.31/6.26 tff(20823,plain,
% 8.31/6.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB155, constB156)) | (v101(constB156) <=> (~((~v1(constB156)) | (~v102(constB156))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB155, constB156)) | (v101(constB156) <=> (~((~v1(constB156)) | (~v102(constB156))))))),
% 8.31/6.26 inference(rewrite,[status(thm)],[])).
% 8.31/6.26 tff(20824,plain,
% 8.31/6.26 (((~nextState(constB155, constB156)) | (v101(constB156) <=> (~((~v102(constB156)) | (~v1(constB156)))))) <=> ((~nextState(constB155, constB156)) | (v101(constB156) <=> (~((~v1(constB156)) | (~v102(constB156))))))),
% 8.31/6.26 inference(rewrite,[status(thm)],[])).
% 8.31/6.26 tff(20825,plain,
% 8.31/6.26 (((~![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) <=> (~((~v1(constB156)) | (~v102(constB156)))))))),
% 8.31/6.26 inference(monotonicity,[status(thm)],[20824])).
% 8.31/6.26 tff(20826,plain,
% 8.31/6.26 (((~![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) <=> (~((~v1(constB156)) | (~v102(constB156))))))),
% 8.31/6.26 inference(transitivity,[status(thm)],[20825, 20823])).
% 8.31/6.26 tff(20827,plain,
% 8.31/6.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB155, constB156)) | (v101(constB156) <=> (~((~v102(constB156)) | (~v1(constB156))))))),
% 8.31/6.26 inference(quant_inst,[status(thm)],[])).
% 8.31/6.26 tff(20828,plain,
% 8.31/6.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB155, constB156)) | (v101(constB156) <=> (~((~v1(constB156)) | (~v102(constB156)))))),
% 8.31/6.26 inference(modus_ponens,[status(thm)],[20827, 20826])).
% 8.31/6.26 tff(20829,plain,
% 8.31/6.26 (v101(constB156) <=> (~((~v1(constB156)) | (~v102(constB156))))),
% 8.31/6.26 inference(unit_resolution,[status(thm)],[20828, 16256, 465])).
% 8.31/6.26 tff(20830,plain,
% 8.31/6.26 (((~![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)))),
% 8.31/6.26 inference(rewrite,[status(thm)],[])).
% 8.31/6.27 tff(20831,plain,
% 8.31/6.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB155, constB156)) | ((~v102(constB156)) <=> v104(constB156)))),
% 8.31/6.27 inference(quant_inst,[status(thm)],[])).
% 8.31/6.27 tff(20832,plain,
% 8.31/6.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB155, constB156)) | ((~v102(constB156)) <=> v104(constB156))),
% 8.31/6.27 inference(modus_ponens,[status(thm)],[20831, 20830])).
% 8.31/6.27 tff(20833,plain,
% 8.31/6.27 ((~v102(constB156)) <=> v104(constB156)),
% 8.31/6.27 inference(unit_resolution,[status(thm)],[20832, 16256, 3244])).
% 8.31/6.27 tff(20834,plain,
% 8.31/6.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB155, constB156)) | (v104(constB156) <=> v1(constB155)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB155, constB156)) | (v104(constB156) <=> v1(constB155)))),
% 8.31/6.27 inference(rewrite,[status(thm)],[])).
% 8.31/6.27 tff(20835,plain,
% 8.31/6.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB155, constB156)) | (v104(constB156) <=> v1(constB155)))),
% 8.31/6.27 inference(quant_inst,[status(thm)],[])).
% 8.31/6.27 tff(20836,plain,
% 8.31/6.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB155, constB156)) | (v104(constB156) <=> v1(constB155))),
% 8.31/6.27 inference(modus_ponens,[status(thm)],[20835, 20834])).
% 8.31/6.27 tff(20837,plain,
% 8.31/6.27 (v104(constB156) <=> v1(constB155)),
% 8.31/6.27 inference(unit_resolution,[status(thm)],[20836, 16256, 3258])).
% 8.31/6.27 tff(20838,plain,
% 8.31/6.27 ((~(v104(constB156) <=> v1(constB155))) | (~v104(constB156)) | v1(constB155)),
% 8.31/6.27 inference(tautology,[status(thm)],[])).
% 8.31/6.27 tff(20839,plain,
% 8.31/6.27 ((~(v104(constB156) <=> v1(constB155))) | (~v104(constB156))),
% 8.31/6.27 inference(unit_resolution,[status(thm)],[20838, 16295])).
% 8.31/6.27 tff(20840,plain,
% 8.31/6.27 (~v104(constB156)),
% 8.31/6.27 inference(unit_resolution,[status(thm)],[20839, 20837])).
% 8.31/6.27 tff(20841,plain,
% 8.31/6.27 ((~((~v102(constB156)) <=> v104(constB156))) | v102(constB156) | v104(constB156)),
% 8.31/6.27 inference(tautology,[status(thm)],[])).
% 8.31/6.27 tff(20842,plain,
% 8.31/6.27 (v102(constB156)),
% 8.31/6.27 inference(unit_resolution,[status(thm)],[20841, 20840, 20833])).
% 8.31/6.27 tff(20843,plain,
% 8.31/6.27 (v1(constB156) <=> v1(constB156)),
% 8.31/6.27 inference(rewrite,[status(thm)],[])).
% 8.31/6.27 tff(20844,axiom,(v1(constB156)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_156')).
% 8.31/6.27 tff(20845,plain,
% 8.31/6.27 (v1(constB156)),
% 8.31/6.27 inference(modus_ponens,[status(thm)],[20844, 20843])).
% 8.31/6.27 tff(20846,plain,
% 8.31/6.27 ((~((~v1(constB156)) | (~v102(constB156)))) | (~v1(constB156)) | (~v102(constB156))),
% 8.31/6.27 inference(tautology,[status(thm)],[])).
% 8.31/6.27 tff(20847,plain,
% 8.31/6.27 ((~((~v1(constB156)) | (~v102(constB156)))) | (~v102(constB156))),
% 8.31/6.27 inference(unit_resolution,[status(thm)],[20846, 20845])).
% 8.31/6.27 tff(20848,plain,
% 8.31/6.27 (~((~v1(constB156)) | (~v102(constB156)))),
% 8.31/6.27 inference(unit_resolution,[status(thm)],[20847, 20842])).
% 8.31/6.27 tff(20849,plain,
% 8.31/6.27 ((~(v101(constB156) <=> (~((~v1(constB156)) | (~v102(constB156)))))) | v101(constB156) | ((~v1(constB156)) | (~v102(constB156)))),
% 8.31/6.27 inference(tautology,[status(thm)],[])).
% 8.31/6.27 tff(20850,plain,
% 8.31/6.27 (v101(constB156)),
% 8.31/6.27 inference(unit_resolution,[status(thm)],[20849, 20848, 20829])).
% 8.31/6.27 tff(20851,plain,
% 8.31/6.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB155, constB156)) | (v110(constB156) <=> v108(constB155)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB155, constB156)) | (v110(constB156) <=> v108(constB155)))),
% 8.31/6.27 inference(rewrite,[status(thm)],[])).
% 8.31/6.27 tff(20852,plain,
% 8.31/6.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB155, constB156)) | (v110(constB156) <=> v108(constB155)))),
% 8.31/6.27 inference(quant_inst,[status(thm)],[])).
% 8.31/6.27 tff(20853,plain,
% 8.31/6.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB155, constB156)) | (v110(constB156) <=> v108(constB155))),
% 8.31/6.27 inference(modus_ponens,[status(thm)],[20852, 20851])).
% 8.31/6.27 tff(20854,plain,
% 8.31/6.27 (v110(constB156) <=> v108(constB155)),
% 8.31/6.27 inference(unit_resolution,[status(thm)],[20853, 16256, 3285])).
% 8.31/6.27 tff(20855,plain,
% 8.31/6.27 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB155) <=> (v111(constB155) | v112(constB155)))),
% 8.31/6.27 inference(quant_inst,[status(thm)],[])).
% 8.31/6.27 tff(20856,plain,
% 8.31/6.27 (v108(constB155) <=> (v111(constB155) | v112(constB155))),
% 8.31/6.27 inference(unit_resolution,[status(thm)],[20855, 3296])).
% 8.31/6.27 tff(20857,plain,
% 8.31/6.27 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB155) <=> (~((~v113(constB155)) | (~v126(constB155)))))),
% 8.31/6.27 inference(quant_inst,[status(thm)],[])).
% 8.31/6.27 tff(20858,plain,
% 8.31/6.27 (v112(constB155) <=> (~((~v113(constB155)) | (~v126(constB155))))),
% 8.31/6.27 inference(unit_resolution,[status(thm)],[20857, 3308])).
% 8.31/6.27 tff(20859,plain,
% 8.31/6.27 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB155) <=> (v114(constB155) | v125(constB155)))),
% 8.31/6.27 inference(quant_inst,[status(thm)],[])).
% 8.31/6.27 tff(20860,plain,
% 8.31/6.27 (v113(constB155) <=> (v114(constB155) | v125(constB155))),
% 8.31/6.27 inference(unit_resolution,[status(thm)],[20859, 3317])).
% 8.31/6.27 tff(20861,plain,
% 8.31/6.27 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB155) <=> (~(v90(constB155, bitIndex0) | (~v90(constB155, bitIndex1)) | (~v90(constB155, bitIndex2)))))),
% 8.31/6.27 inference(quant_inst,[status(thm)],[])).
% 8.31/6.27 tff(20862,plain,
% 8.31/6.27 (v125(constB155) <=> (~(v90(constB155, bitIndex0) | (~v90(constB155, bitIndex1)) | (~v90(constB155, bitIndex2))))),
% 8.31/6.27 inference(unit_resolution,[status(thm)],[20861, 3766])).
% 8.31/6.27 tff(20863,plain,
% 8.31/6.27 ((~(v90(constB155, bitIndex0) | (~v90(constB155, bitIndex1)) | (~v90(constB155, bitIndex2)))) | v90(constB155, bitIndex0) | (~v90(constB155, bitIndex1)) | (~v90(constB155, bitIndex2))),
% 8.31/6.27 inference(tautology,[status(thm)],[])).
% 8.31/6.27 tff(20864,plain,
% 8.31/6.27 (~(v90(constB155, bitIndex0) | (~v90(constB155, bitIndex1)) | (~v90(constB155, bitIndex2)))),
% 8.31/6.27 inference(unit_resolution,[status(thm)],[20863, 20751, 20711, 20791])).
% 8.31/6.27 tff(20865,plain,
% 8.31/6.27 ((~(v125(constB155) <=> (~(v90(constB155, bitIndex0) | (~v90(constB155, bitIndex1)) | (~v90(constB155, bitIndex2)))))) | v125(constB155) | (v90(constB155, bitIndex0) | (~v90(constB155, bitIndex1)) | (~v90(constB155, bitIndex2)))),
% 8.31/6.27 inference(tautology,[status(thm)],[])).
% 8.31/6.27 tff(20866,plain,
% 8.31/6.27 (v125(constB155)),
% 8.31/6.27 inference(unit_resolution,[status(thm)],[20865, 20864, 20862])).
% 8.31/6.27 tff(20867,plain,
% 8.31/6.27 ((v114(constB155) | v125(constB155)) | (~v125(constB155))),
% 8.31/6.27 inference(tautology,[status(thm)],[])).
% 8.31/6.27 tff(20868,plain,
% 8.31/6.27 (v114(constB155) | v125(constB155)),
% 8.31/6.27 inference(unit_resolution,[status(thm)],[20867, 20866])).
% 8.31/6.27 tff(20869,plain,
% 8.31/6.27 ((~(v113(constB155) <=> (v114(constB155) | v125(constB155)))) | v113(constB155) | (~(v114(constB155) | v125(constB155)))),
% 8.31/6.27 inference(tautology,[status(thm)],[])).
% 8.31/6.27 tff(20870,plain,
% 8.31/6.27 (v113(constB155)),
% 8.31/6.27 inference(unit_resolution,[status(thm)],[20869, 20868, 20860])).
% 8.31/6.27 tff(20871,plain,
% 8.31/6.27 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB155)) <=> v111(constB155))),
% 8.31/6.27 inference(quant_inst,[status(thm)],[])).
% 8.31/6.27 tff(20872,plain,
% 8.31/6.27 ((~v126(constB155)) <=> v111(constB155)),
% 8.31/6.27 inference(unit_resolution,[status(thm)],[20871, 3396])).
% 8.31/6.27 tff(20873,plain,
% 8.31/6.27 ((~((~v126(constB155)) <=> v111(constB155))) | v126(constB155) | v111(constB155)),
% 8.31/6.27 inference(tautology,[status(thm)],[])).
% 8.31/6.27 tff(20874,plain,
% 8.31/6.27 ((~((~v126(constB155)) <=> v111(constB155))) | v126(constB155)),
% 8.31/6.27 inference(unit_resolution,[status(thm)],[20873, 16269])).
% 8.31/6.27 tff(20875,plain,
% 8.31/6.27 (v126(constB155)),
% 8.31/6.27 inference(unit_resolution,[status(thm)],[20874, 20872])).
% 8.31/6.27 tff(20876,plain,
% 8.31/6.27 ((~((~v113(constB155)) | (~v126(constB155)))) | (~v113(constB155)) | (~v126(constB155))),
% 8.31/6.27 inference(tautology,[status(thm)],[])).
% 8.31/6.27 tff(20877,plain,
% 8.31/6.27 ((~((~v113(constB155)) | (~v126(constB155)))) | (~v113(constB155))),
% 8.31/6.27 inference(unit_resolution,[status(thm)],[20876, 20875])).
% 8.31/6.27 tff(20878,plain,
% 8.31/6.27 (~((~v113(constB155)) | (~v126(constB155)))),
% 8.31/6.27 inference(unit_resolution,[status(thm)],[20877, 20870])).
% 8.31/6.27 tff(20879,plain,
% 8.31/6.27 ((~(v112(constB155) <=> (~((~v113(constB155)) | (~v126(constB155)))))) | v112(constB155) | ((~v113(constB155)) | (~v126(constB155)))),
% 8.31/6.27 inference(tautology,[status(thm)],[])).
% 8.31/6.27 tff(20880,plain,
% 8.31/6.27 (v112(constB155)),
% 8.31/6.27 inference(unit_resolution,[status(thm)],[20879, 20878, 20858])).
% 8.31/6.27 tff(20881,plain,
% 8.31/6.27 ((v111(constB155) | v112(constB155)) | (~v112(constB155))),
% 8.31/6.27 inference(tautology,[status(thm)],[])).
% 8.31/6.27 tff(20882,plain,
% 8.31/6.27 (v111(constB155) | v112(constB155)),
% 8.31/6.27 inference(unit_resolution,[status(thm)],[20881, 20880])).
% 8.31/6.27 tff(20883,plain,
% 8.31/6.27 ((~(v108(constB155) <=> (v111(constB155) | v112(constB155)))) | v108(constB155) | (~(v111(constB155) | v112(constB155)))),
% 8.31/6.27 inference(tautology,[status(thm)],[])).
% 8.31/6.27 tff(20884,plain,
% 8.31/6.27 (v108(constB155)),
% 8.31/6.27 inference(unit_resolution,[status(thm)],[20883, 20882, 20856])).
% 8.31/6.27 tff(20885,plain,
% 8.31/6.27 ((~(v110(constB156) <=> v108(constB155))) | v110(constB156) | (~v108(constB155))),
% 8.31/6.27 inference(tautology,[status(thm)],[])).
% 8.31/6.27 tff(20886,plain,
% 8.31/6.27 (v110(constB156)),
% 8.31/6.27 inference(unit_resolution,[status(thm)],[20885, 20884, 20854])).
% 8.31/6.27 tff(20887,plain,
% 8.31/6.27 ((~((~v101(constB156)) | (~v110(constB156)))) | (~v101(constB156)) | (~v110(constB156))),
% 8.31/6.27 inference(tautology,[status(thm)],[])).
% 8.31/6.27 tff(20888,plain,
% 8.31/6.27 (~((~v101(constB156)) | (~v110(constB156)))),
% 8.31/6.27 inference(unit_resolution,[status(thm)],[20887, 20886, 20850])).
% 8.31/6.27 tff(20889,plain,
% 8.31/6.27 ((~(v100(constB156) <=> (~((~v101(constB156)) | (~v110(constB156)))))) | v100(constB156) | ((~v101(constB156)) | (~v110(constB156)))),
% 8.31/6.27 inference(tautology,[status(thm)],[])).
% 8.31/6.27 tff(20890,plain,
% 8.31/6.27 (v100(constB156)),
% 8.31/6.27 inference(unit_resolution,[status(thm)],[20889, 20888, 20822])).
% 8.31/6.27 tff(20891,plain,
% 8.31/6.27 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB156)) | (~(((~v90(constB156, bitIndex2)) <=> v129(constB156, bitIndex2)) | ((~v90(constB156, bitIndex1)) <=> v129(constB156, bitIndex1)) | ((~v90(constB156, bitIndex0)) <=> v129(constB156, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB156)) | (~(((~v90(constB156, bitIndex2)) <=> v129(constB156, bitIndex2)) | ((~v90(constB156, bitIndex1)) <=> v129(constB156, bitIndex1)) | ((~v90(constB156, bitIndex0)) <=> v129(constB156, bitIndex0)))))),
% 8.31/6.27 inference(rewrite,[status(thm)],[])).
% 8.31/6.27 tff(20892,plain,
% 8.31/6.27 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB156)) | (~(((~v90(constB156, bitIndex2)) <=> v129(constB156, bitIndex2)) | ((~v90(constB156, bitIndex1)) <=> v129(constB156, bitIndex1)) | ((~v90(constB156, bitIndex0)) <=> v129(constB156, bitIndex0)))))),
% 8.31/6.27 inference(quant_inst,[status(thm)],[])).
% 8.31/6.27 tff(20893,plain,
% 8.31/6.27 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB156)) | (~(((~v90(constB156, bitIndex2)) <=> v129(constB156, bitIndex2)) | ((~v90(constB156, bitIndex1)) <=> v129(constB156, bitIndex1)) | ((~v90(constB156, bitIndex0)) <=> v129(constB156, bitIndex0))))),
% 8.31/6.27 inference(modus_ponens,[status(thm)],[20892, 20891])).
% 8.31/6.27 tff(20894,plain,
% 8.31/6.27 ((~v100(constB156)) | (~(((~v90(constB156, bitIndex2)) <=> v129(constB156, bitIndex2)) | ((~v90(constB156, bitIndex1)) <=> v129(constB156, bitIndex1)) | ((~v90(constB156, bitIndex0)) <=> v129(constB156, bitIndex0))))),
% 8.31/6.27 inference(unit_resolution,[status(thm)],[20893, 3429])).
% 8.31/6.27 tff(20895,plain,
% 8.31/6.27 (~(((~v90(constB156, bitIndex2)) <=> v129(constB156, bitIndex2)) | ((~v90(constB156, bitIndex1)) <=> v129(constB156, bitIndex1)) | ((~v90(constB156, bitIndex0)) <=> v129(constB156, bitIndex0)))),
% 8.31/6.27 inference(unit_resolution,[status(thm)],[20894, 20890])).
% 8.31/6.27 tff(20896,plain,
% 8.31/6.27 ((((~v90(constB156, bitIndex2)) <=> v129(constB156, bitIndex2)) | ((~v90(constB156, bitIndex1)) <=> v129(constB156, bitIndex1)) | ((~v90(constB156, bitIndex0)) <=> v129(constB156, bitIndex0))) | (~((~v90(constB156, bitIndex2)) <=> v129(constB156, bitIndex2)))),
% 8.31/6.27 inference(tautology,[status(thm)],[])).
% 8.31/6.27 tff(20897,plain,
% 8.31/6.27 (~((~v90(constB156, bitIndex2)) <=> v129(constB156, bitIndex2))),
% 8.31/6.27 inference(unit_resolution,[status(thm)],[20896, 20895])).
% 8.31/6.27 tff(20898,plain,
% 8.31/6.27 (((~v90(constB156, bitIndex2)) <=> v129(constB156, bitIndex2)) | (~v90(constB156, bitIndex2)) | v129(constB156, bitIndex2)),
% 8.31/6.27 inference(tautology,[status(thm)],[])).
% 8.31/6.27 tff(20899,plain,
% 8.31/6.27 (~v90(constB156, bitIndex2)),
% 8.31/6.27 inference(unit_resolution,[status(thm)],[20898, 20897, 20818])).
% 8.31/6.27 tff(20900,plain,
% 8.31/6.27 (((~v90(constB157, bitIndex2)) <=> v90(constB156, bitIndex2)) | (~v90(constB157, bitIndex2)) | v90(constB156, bitIndex2)),
% 8.31/6.27 inference(tautology,[status(thm)],[])).
% 8.31/6.27 tff(20901,plain,
% 8.31/6.27 (~v90(constB157, bitIndex2)),
% 8.31/6.27 inference(unit_resolution,[status(thm)],[20900, 20899, 16253])).
% 8.31/6.27 tff(20902,plain,
% 8.31/6.27 ((((~v90(constB157, bitIndex1)) <=> v90(constB156, bitIndex1)) | ((~v90(constB157, bitIndex2)) <=> v90(constB156, bitIndex2)) | ((~v90(constB157, bitIndex0)) <=> v90(constB156, bitIndex0))) | (~((~v90(constB157, bitIndex0)) <=> v90(constB156, bitIndex0)))),
% 8.31/6.27 inference(tautology,[status(thm)],[])).
% 8.31/6.27 tff(20903,plain,
% 8.31/6.27 (~((~v90(constB157, bitIndex0)) <=> v90(constB156, bitIndex0))),
% 8.31/6.27 inference(unit_resolution,[status(thm)],[20902, 16251])).
% 8.31/6.27 tff(20904,plain,
% 8.31/6.27 ((((~v129(constB156, bitIndex2)) <=> v127(constB155, bitIndex2)) | ((~v129(constB156, bitIndex1)) <=> v127(constB155, bitIndex1)) | ((~v129(constB156, bitIndex0)) <=> v127(constB155, bitIndex0))) | (~((~v129(constB156, bitIndex0)) <=> v127(constB155, bitIndex0)))),
% 8.31/6.27 inference(tautology,[status(thm)],[])).
% 8.31/6.27 tff(20905,plain,
% 8.31/6.27 (~((~v129(constB156, bitIndex0)) <=> v127(constB155, bitIndex0))),
% 8.31/6.27 inference(unit_resolution,[status(thm)],[20904, 16260])).
% 8.31/6.27 tff(20906,plain,
% 8.31/6.27 ((((~v127(constB155, bitIndex2)) <=> v130(constB155, bitIndex2)) | ((~v127(constB155, bitIndex1)) <=> v130(constB155, bitIndex1)) | ((~v127(constB155, bitIndex0)) <=> v130(constB155, bitIndex0))) | (~((~v127(constB155, bitIndex0)) <=> v130(constB155, bitIndex0)))),
% 8.31/6.27 inference(tautology,[status(thm)],[])).
% 8.31/6.27 tff(20907,plain,
% 8.31/6.27 (~((~v127(constB155, bitIndex0)) <=> v130(constB155, bitIndex0))),
% 8.31/6.27 inference(unit_resolution,[status(thm)],[20906, 16274])).
% 8.31/6.27 tff(20908,plain,
% 8.31/6.27 ((v130(constB155, bitIndex2) | v130(constB155, bitIndex1) | (~v130(constB155, bitIndex0))) | v130(constB155, bitIndex0)),
% 8.31/6.27 inference(tautology,[status(thm)],[])).
% 8.31/6.27 tff(20909,plain,
% 8.31/6.27 (v130(constB155, bitIndex0)),
% 8.31/6.27 inference(unit_resolution,[status(thm)],[20908, 20812])).
% 8.31/6.27 tff(20910,plain,
% 8.31/6.27 (((~v127(constB155, bitIndex0)) <=> v130(constB155, bitIndex0)) | v127(constB155, bitIndex0) | (~v130(constB155, bitIndex0))),
% 8.31/6.27 inference(tautology,[status(thm)],[])).
% 8.31/6.27 tff(20911,plain,
% 8.31/6.27 (v127(constB155, bitIndex0)),
% 8.31/6.27 inference(unit_resolution,[status(thm)],[20910, 20909, 20907])).
% 8.31/6.27 tff(20912,plain,
% 8.31/6.27 (((~v129(constB156, bitIndex0)) <=> v127(constB155, bitIndex0)) | v129(constB156, bitIndex0) | (~v127(constB155, bitIndex0))),
% 8.31/6.27 inference(tautology,[status(thm)],[])).
% 8.31/6.27 tff(20913,plain,
% 8.31/6.27 (v129(constB156, bitIndex0)),
% 8.31/6.27 inference(unit_resolution,[status(thm)],[20912, 20911, 20905])).
% 8.31/6.27 tff(20914,plain,
% 8.31/6.27 ((((~v90(constB156, bitIndex2)) <=> v129(constB156, bitIndex2)) | ((~v90(constB156, bitIndex1)) <=> v129(constB156, bitIndex1)) | ((~v90(constB156, bitIndex0)) <=> v129(constB156, bitIndex0))) | (~((~v90(constB156, bitIndex0)) <=> v129(constB156, bitIndex0)))),
% 8.31/6.27 inference(tautology,[status(thm)],[])).
% 8.31/6.27 tff(20915,plain,
% 8.31/6.27 (~((~v90(constB156, bitIndex0)) <=> v129(constB156, bitIndex0))),
% 8.31/6.27 inference(unit_resolution,[status(thm)],[20914, 20895])).
% 8.31/6.27 tff(20916,plain,
% 8.31/6.27 (((~v90(constB156, bitIndex0)) <=> v129(constB156, bitIndex0)) | v90(constB156, bitIndex0) | (~v129(constB156, bitIndex0))),
% 8.31/6.27 inference(tautology,[status(thm)],[])).
% 8.31/6.27 tff(20917,plain,
% 8.31/6.27 (v90(constB156, bitIndex0)),
% 8.31/6.27 inference(unit_resolution,[status(thm)],[20916, 20915, 20913])).
% 8.31/6.27 tff(20918,plain,
% 8.31/6.27 (((~v90(constB157, bitIndex0)) <=> v90(constB156, bitIndex0)) | v90(constB157, bitIndex0) | (~v90(constB156, bitIndex0))),
% 8.31/6.27 inference(tautology,[status(thm)],[])).
% 8.31/6.27 tff(20919,plain,
% 8.31/6.27 (v90(constB157, bitIndex0)),
% 8.31/6.27 inference(unit_resolution,[status(thm)],[20918, 20917, 20903])).
% 8.31/6.27 tff(20920,plain,
% 8.31/6.27 ((((~v90(constB157, bitIndex1)) <=> v90(constB156, bitIndex1)) | ((~v90(constB157, bitIndex2)) <=> v90(constB156, bitIndex2)) | ((~v90(constB157, bitIndex0)) <=> v90(constB156, bitIndex0))) | (~((~v90(constB157, bitIndex1)) <=> v90(constB156, bitIndex1)))),
% 8.31/6.27 inference(tautology,[status(thm)],[])).
% 8.31/6.27 tff(20921,plain,
% 8.31/6.27 (~((~v90(constB157, bitIndex1)) <=> v90(constB156, bitIndex1))),
% 8.31/6.27 inference(unit_resolution,[status(thm)],[20920, 16251])).
% 8.31/6.27 tff(20922,plain,
% 8.31/6.27 ((((~v129(constB156, bitIndex2)) <=> v127(constB155, bitIndex2)) | ((~v129(constB156, bitIndex1)) <=> v127(constB155, bitIndex1)) | ((~v129(constB156, bitIndex0)) <=> v127(constB155, bitIndex0))) | (~((~v129(constB156, bitIndex1)) <=> v127(constB155, bitIndex1)))),
% 8.31/6.27 inference(tautology,[status(thm)],[])).
% 8.31/6.27 tff(20923,plain,
% 8.31/6.27 (~((~v129(constB156, bitIndex1)) <=> v127(constB155, bitIndex1))),
% 8.31/6.27 inference(unit_resolution,[status(thm)],[20922, 16260])).
% 8.31/6.27 tff(20924,plain,
% 8.31/6.27 ((((~v127(constB155, bitIndex2)) <=> v130(constB155, bitIndex2)) | ((~v127(constB155, bitIndex1)) <=> v130(constB155, bitIndex1)) | ((~v127(constB155, bitIndex0)) <=> v130(constB155, bitIndex0))) | (~((~v127(constB155, bitIndex1)) <=> v130(constB155, bitIndex1)))),
% 8.31/6.27 inference(tautology,[status(thm)],[])).
% 8.31/6.27 tff(20925,plain,
% 8.31/6.27 (~((~v127(constB155, bitIndex1)) <=> v130(constB155, bitIndex1))),
% 8.31/6.27 inference(unit_resolution,[status(thm)],[20924, 16274])).
% 8.31/6.27 tff(20926,plain,
% 8.31/6.27 ((v130(constB155, bitIndex2) | v130(constB155, bitIndex1) | (~v130(constB155, bitIndex0))) | (~v130(constB155, bitIndex1))),
% 8.31/6.27 inference(tautology,[status(thm)],[])).
% 8.31/6.27 tff(20927,plain,
% 8.31/6.27 (~v130(constB155, bitIndex1)),
% 8.31/6.27 inference(unit_resolution,[status(thm)],[20926, 20812])).
% 8.31/6.27 tff(20928,plain,
% 8.31/6.27 (((~v127(constB155, bitIndex1)) <=> v130(constB155, bitIndex1)) | (~v127(constB155, bitIndex1)) | v130(constB155, bitIndex1)),
% 8.31/6.27 inference(tautology,[status(thm)],[])).
% 8.31/6.27 tff(20929,plain,
% 8.31/6.27 (~v127(constB155, bitIndex1)),
% 8.31/6.27 inference(unit_resolution,[status(thm)],[20928, 20927, 20925])).
% 8.31/6.27 tff(20930,plain,
% 8.31/6.27 (((~v129(constB156, bitIndex1)) <=> v127(constB155, bitIndex1)) | (~v129(constB156, bitIndex1)) | v127(constB155, bitIndex1)),
% 8.31/6.27 inference(tautology,[status(thm)],[])).
% 8.31/6.27 tff(20931,plain,
% 8.31/6.27 (~v129(constB156, bitIndex1)),
% 8.31/6.27 inference(unit_resolution,[status(thm)],[20930, 20929, 20923])).
% 8.31/6.27 tff(20932,plain,
% 8.31/6.27 ((((~v90(constB156, bitIndex2)) <=> v129(constB156, bitIndex2)) | ((~v90(constB156, bitIndex1)) <=> v129(constB156, bitIndex1)) | ((~v90(constB156, bitIndex0)) <=> v129(constB156, bitIndex0))) | (~((~v90(constB156, bitIndex1)) <=> v129(constB156, bitIndex1)))),
% 8.31/6.27 inference(tautology,[status(thm)],[])).
% 8.31/6.27 tff(20933,plain,
% 8.31/6.27 (~((~v90(constB156, bitIndex1)) <=> v129(constB156, bitIndex1))),
% 8.31/6.27 inference(unit_resolution,[status(thm)],[20932, 20895])).
% 8.31/6.27 tff(20934,plain,
% 8.31/6.27 (((~v90(constB156, bitIndex1)) <=> v129(constB156, bitIndex1)) | (~v90(constB156, bitIndex1)) | v129(constB156, bitIndex1)),
% 8.31/6.27 inference(tautology,[status(thm)],[])).
% 8.31/6.27 tff(20935,plain,
% 8.31/6.27 (~v90(constB156, bitIndex1)),
% 8.31/6.27 inference(unit_resolution,[status(thm)],[20934, 20933, 20931])).
% 8.31/6.27 tff(20936,plain,
% 8.31/6.27 (((~v90(constB157, bitIndex1)) <=> v90(constB156, bitIndex1)) | (~v90(constB157, bitIndex1)) | v90(constB156, bitIndex1)),
% 8.31/6.27 inference(tautology,[status(thm)],[])).
% 8.31/6.27 tff(20937,plain,
% 8.31/6.27 (~v90(constB157, bitIndex1)),
% 8.31/6.27 inference(unit_resolution,[status(thm)],[20936, 20935, 20921])).
% 8.31/6.27 tff(20938,plain,
% 8.31/6.27 ((~(v90(constB157, bitIndex1) | v90(constB157, bitIndex2) | (~v90(constB157, bitIndex0)))) | v90(constB157, bitIndex1) | v90(constB157, bitIndex2) | (~v90(constB157, bitIndex0))),
% 8.31/6.27 inference(tautology,[status(thm)],[])).
% 8.31/6.27 tff(20939,plain,
% 8.31/6.27 (~(v90(constB157, bitIndex1) | v90(constB157, bitIndex2) | (~v90(constB157, bitIndex0)))),
% 8.31/6.27 inference(unit_resolution,[status(thm)],[20938, 20937, 20919, 20901])).
% 8.31/6.27 tff(20940,plain,
% 8.31/6.27 ((~(v120(constB157) <=> (~(v90(constB157, bitIndex1) | v90(constB157, bitIndex2) | (~v90(constB157, bitIndex0)))))) | v120(constB157) | (v90(constB157, bitIndex1) | v90(constB157, bitIndex2) | (~v90(constB157, bitIndex0)))),
% 8.31/6.27 inference(tautology,[status(thm)],[])).
% 8.31/6.27 tff(20941,plain,
% 8.31/6.27 (v120(constB157)),
% 8.31/6.27 inference(unit_resolution,[status(thm)],[20940, 20939, 16217])).
% 8.31/6.27 tff(20942,plain,
% 8.31/6.27 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB157)) | (~(v130(constB157, bitIndex2) | v130(constB157, bitIndex0) | (~v130(constB157, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB157)) | (~(v130(constB157, bitIndex2) | v130(constB157, bitIndex0) | (~v130(constB157, bitIndex1)))))),
% 8.31/6.27 inference(rewrite,[status(thm)],[])).
% 8.31/6.27 tff(20943,plain,
% 8.31/6.27 (((~v120(constB157)) | (~(v130(constB157, bitIndex0) | v130(constB157, bitIndex2) | (~v130(constB157, bitIndex1))))) <=> ((~v120(constB157)) | (~(v130(constB157, bitIndex2) | v130(constB157, bitIndex0) | (~v130(constB157, bitIndex1)))))),
% 8.31/6.27 inference(rewrite,[status(thm)],[])).
% 8.31/6.27 tff(20944,plain,
% 8.31/6.27 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB157)) | (~(v130(constB157, bitIndex0) | v130(constB157, bitIndex2) | (~v130(constB157, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB157)) | (~(v130(constB157, bitIndex2) | v130(constB157, bitIndex0) | (~v130(constB157, bitIndex1))))))),
% 8.31/6.27 inference(monotonicity,[status(thm)],[20943])).
% 8.31/6.27 tff(20945,plain,
% 8.31/6.27 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB157)) | (~(v130(constB157, bitIndex0) | v130(constB157, bitIndex2) | (~v130(constB157, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB157)) | (~(v130(constB157, bitIndex2) | v130(constB157, bitIndex0) | (~v130(constB157, bitIndex1)))))),
% 8.31/6.27 inference(transitivity,[status(thm)],[20944, 20942])).
% 8.31/6.27 tff(20946,plain,
% 8.31/6.27 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB157)) | (~(v130(constB157, bitIndex0) | v130(constB157, bitIndex2) | (~v130(constB157, bitIndex1)))))),
% 8.31/6.27 inference(quant_inst,[status(thm)],[])).
% 8.31/6.27 tff(20947,plain,
% 8.31/6.27 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB157)) | (~(v130(constB157, bitIndex2) | v130(constB157, bitIndex0) | (~v130(constB157, bitIndex1))))),
% 8.31/6.27 inference(modus_ponens,[status(thm)],[20946, 20945])).
% 8.31/6.27 tff(20948,plain,
% 8.31/6.27 ((~v120(constB157)) | (~(v130(constB157, bitIndex2) | v130(constB157, bitIndex0) | (~v130(constB157, bitIndex1))))),
% 8.31/6.27 inference(unit_resolution,[status(thm)],[20947, 3881])).
% 8.31/6.27 tff(20949,plain,
% 8.31/6.27 (~(v130(constB157, bitIndex2) | v130(constB157, bitIndex0) | (~v130(constB157, bitIndex1)))),
% 8.31/6.27 inference(unit_resolution,[status(thm)],[20948, 20941])).
% 8.31/6.27 tff(20950,plain,
% 8.31/6.27 ((v130(constB157, bitIndex2) | v130(constB157, bitIndex0) | (~v130(constB157, bitIndex1))) | (~v130(constB157, bitIndex2))),
% 8.31/6.27 inference(tautology,[status(thm)],[])).
% 8.31/6.27 tff(20951,plain,
% 8.31/6.27 (~v130(constB157, bitIndex2)),
% 8.31/6.27 inference(unit_resolution,[status(thm)],[20950, 20949])).
% 8.31/6.27 tff(20952,plain,
% 8.31/6.27 (((~v127(constB157, bitIndex2)) <=> v130(constB157, bitIndex2)) | (~v127(constB157, bitIndex2)) | v130(constB157, bitIndex2)),
% 8.31/6.27 inference(tautology,[status(thm)],[])).
% 8.31/6.27 tff(20953,plain,
% 8.31/6.27 (~v127(constB157, bitIndex2)),
% 8.31/6.27 inference(unit_resolution,[status(thm)],[20952, 20951, 16215])).
% 8.31/6.27 tff(20954,plain,
% 8.31/6.27 (((~v129(constB158, bitIndex2)) <=> v127(constB157, bitIndex2)) | (~v129(constB158, bitIndex2)) | v127(constB157, bitIndex2)),
% 8.31/6.27 inference(tautology,[status(thm)],[])).
% 8.31/6.27 tff(20955,plain,
% 8.31/6.27 (~v129(constB158, bitIndex2)),
% 8.31/6.27 inference(unit_resolution,[status(thm)],[20954, 20953, 16201])).
% 8.31/6.27 tff(20956,plain,
% 8.31/6.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB157, constB158)) | (v100(constB158) <=> (~((~v101(constB158)) | (~v110(constB158))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB157, constB158)) | (v100(constB158) <=> (~((~v101(constB158)) | (~v110(constB158))))))),
% 8.31/6.27 inference(rewrite,[status(thm)],[])).
% 8.31/6.27 tff(20957,plain,
% 8.31/6.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB157, constB158)) | (v100(constB158) <=> (~((~v101(constB158)) | (~v110(constB158))))))),
% 8.31/6.27 inference(quant_inst,[status(thm)],[])).
% 8.31/6.27 tff(20958,plain,
% 8.31/6.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB157, constB158)) | (v100(constB158) <=> (~((~v101(constB158)) | (~v110(constB158)))))),
% 8.31/6.27 inference(modus_ponens,[status(thm)],[20957, 20956])).
% 8.31/6.27 tff(20959,plain,
% 8.31/6.27 (v100(constB158) <=> (~((~v101(constB158)) | (~v110(constB158))))),
% 8.31/6.27 inference(unit_resolution,[status(thm)],[20958, 16195, 445])).
% 8.31/6.27 tff(20960,plain,
% 8.31/6.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB157, constB158)) | (v101(constB158) <=> (~((~v1(constB158)) | (~v102(constB158))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB157, constB158)) | (v101(constB158) <=> (~((~v1(constB158)) | (~v102(constB158))))))),
% 8.31/6.27 inference(rewrite,[status(thm)],[])).
% 8.31/6.27 tff(20961,plain,
% 8.31/6.27 (((~nextState(constB157, constB158)) | (v101(constB158) <=> (~((~v102(constB158)) | (~v1(constB158)))))) <=> ((~nextState(constB157, constB158)) | (v101(constB158) <=> (~((~v1(constB158)) | (~v102(constB158))))))),
% 8.31/6.27 inference(rewrite,[status(thm)],[])).
% 8.31/6.27 tff(20962,plain,
% 8.31/6.27 (((~![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) <=> (~((~v1(constB158)) | (~v102(constB158)))))))),
% 8.31/6.27 inference(monotonicity,[status(thm)],[20961])).
% 8.31/6.27 tff(20963,plain,
% 8.31/6.27 (((~![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) <=> (~((~v1(constB158)) | (~v102(constB158))))))),
% 8.31/6.27 inference(transitivity,[status(thm)],[20962, 20960])).
% 8.31/6.27 tff(20964,plain,
% 8.31/6.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB157, constB158)) | (v101(constB158) <=> (~((~v102(constB158)) | (~v1(constB158))))))),
% 8.31/6.27 inference(quant_inst,[status(thm)],[])).
% 8.31/6.27 tff(20965,plain,
% 8.31/6.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB157, constB158)) | (v101(constB158) <=> (~((~v1(constB158)) | (~v102(constB158)))))),
% 8.31/6.27 inference(modus_ponens,[status(thm)],[20964, 20963])).
% 8.31/6.27 tff(20966,plain,
% 8.31/6.27 (v101(constB158) <=> (~((~v1(constB158)) | (~v102(constB158))))),
% 8.31/6.27 inference(unit_resolution,[status(thm)],[20965, 16195, 465])).
% 8.31/6.27 tff(20967,plain,
% 8.31/6.27 (((~![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)))),
% 8.31/6.27 inference(rewrite,[status(thm)],[])).
% 8.31/6.27 tff(20968,plain,
% 8.31/6.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB157, constB158)) | ((~v102(constB158)) <=> v104(constB158)))),
% 8.31/6.27 inference(quant_inst,[status(thm)],[])).
% 8.31/6.27 tff(20969,plain,
% 8.31/6.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB157, constB158)) | ((~v102(constB158)) <=> v104(constB158))),
% 8.31/6.27 inference(modus_ponens,[status(thm)],[20968, 20967])).
% 8.31/6.27 tff(20970,plain,
% 8.31/6.27 ((~v102(constB158)) <=> v104(constB158)),
% 8.31/6.27 inference(unit_resolution,[status(thm)],[20969, 16195, 3244])).
% 8.31/6.27 tff(20971,plain,
% 8.31/6.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB157, constB158)) | (v104(constB158) <=> v1(constB157)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB157, constB158)) | (v104(constB158) <=> v1(constB157)))),
% 8.31/6.27 inference(rewrite,[status(thm)],[])).
% 8.31/6.27 tff(20972,plain,
% 8.31/6.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB157, constB158)) | (v104(constB158) <=> v1(constB157)))),
% 8.31/6.27 inference(quant_inst,[status(thm)],[])).
% 8.31/6.27 tff(20973,plain,
% 8.31/6.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB157, constB158)) | (v104(constB158) <=> v1(constB157))),
% 8.31/6.27 inference(modus_ponens,[status(thm)],[20972, 20971])).
% 8.31/6.27 tff(20974,plain,
% 8.31/6.27 (v104(constB158) <=> v1(constB157)),
% 8.31/6.27 inference(unit_resolution,[status(thm)],[20973, 16195, 3258])).
% 8.31/6.27 tff(20975,plain,
% 8.31/6.27 ((~(v104(constB158) <=> v1(constB157))) | (~v104(constB158)) | v1(constB157)),
% 8.31/6.27 inference(tautology,[status(thm)],[])).
% 8.31/6.27 tff(20976,plain,
% 8.31/6.27 ((~(v104(constB158) <=> v1(constB157))) | (~v104(constB158))),
% 8.31/6.27 inference(unit_resolution,[status(thm)],[20975, 16234])).
% 8.31/6.27 tff(20977,plain,
% 8.31/6.27 (~v104(constB158)),
% 8.31/6.27 inference(unit_resolution,[status(thm)],[20976, 20974])).
% 8.31/6.27 tff(20978,plain,
% 8.31/6.27 ((~((~v102(constB158)) <=> v104(constB158))) | v102(constB158) | v104(constB158)),
% 8.31/6.27 inference(tautology,[status(thm)],[])).
% 8.31/6.27 tff(20979,plain,
% 8.31/6.27 (v102(constB158)),
% 8.31/6.27 inference(unit_resolution,[status(thm)],[20978, 20977, 20970])).
% 8.31/6.27 tff(20980,plain,
% 8.31/6.27 (v1(constB158) <=> v1(constB158)),
% 8.31/6.27 inference(rewrite,[status(thm)],[])).
% 8.31/6.27 tff(20981,axiom,(v1(constB158)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_158')).
% 8.31/6.27 tff(20982,plain,
% 8.31/6.27 (v1(constB158)),
% 8.31/6.27 inference(modus_ponens,[status(thm)],[20981, 20980])).
% 8.31/6.28 tff(20983,plain,
% 8.31/6.28 ((~((~v1(constB158)) | (~v102(constB158)))) | (~v1(constB158)) | (~v102(constB158))),
% 8.31/6.28 inference(tautology,[status(thm)],[])).
% 8.31/6.28 tff(20984,plain,
% 8.31/6.28 ((~((~v1(constB158)) | (~v102(constB158)))) | (~v102(constB158))),
% 8.31/6.28 inference(unit_resolution,[status(thm)],[20983, 20982])).
% 8.31/6.28 tff(20985,plain,
% 8.31/6.28 (~((~v1(constB158)) | (~v102(constB158)))),
% 8.31/6.28 inference(unit_resolution,[status(thm)],[20984, 20979])).
% 8.31/6.28 tff(20986,plain,
% 8.31/6.28 ((~(v101(constB158) <=> (~((~v1(constB158)) | (~v102(constB158)))))) | v101(constB158) | ((~v1(constB158)) | (~v102(constB158)))),
% 8.31/6.28 inference(tautology,[status(thm)],[])).
% 8.31/6.28 tff(20987,plain,
% 8.31/6.28 (v101(constB158)),
% 8.31/6.28 inference(unit_resolution,[status(thm)],[20986, 20985, 20966])).
% 8.31/6.28 tff(20988,plain,
% 8.31/6.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB157, constB158)) | (v110(constB158) <=> v108(constB157)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB157, constB158)) | (v110(constB158) <=> v108(constB157)))),
% 8.31/6.28 inference(rewrite,[status(thm)],[])).
% 8.31/6.28 tff(20989,plain,
% 8.31/6.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB157, constB158)) | (v110(constB158) <=> v108(constB157)))),
% 8.31/6.28 inference(quant_inst,[status(thm)],[])).
% 8.31/6.28 tff(20990,plain,
% 8.31/6.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB157, constB158)) | (v110(constB158) <=> v108(constB157))),
% 8.31/6.28 inference(modus_ponens,[status(thm)],[20989, 20988])).
% 8.31/6.28 tff(20991,plain,
% 8.31/6.28 (v110(constB158) <=> v108(constB157)),
% 8.31/6.28 inference(unit_resolution,[status(thm)],[20990, 16195, 3285])).
% 8.31/6.28 tff(20992,plain,
% 8.31/6.28 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB157) <=> (v111(constB157) | v112(constB157)))),
% 8.31/6.28 inference(quant_inst,[status(thm)],[])).
% 8.31/6.28 tff(20993,plain,
% 8.31/6.28 (v108(constB157) <=> (v111(constB157) | v112(constB157))),
% 8.31/6.28 inference(unit_resolution,[status(thm)],[20992, 3296])).
% 8.31/6.28 tff(20994,plain,
% 8.31/6.28 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB157) <=> (~((~v113(constB157)) | (~v126(constB157)))))),
% 8.31/6.28 inference(quant_inst,[status(thm)],[])).
% 8.31/6.28 tff(20995,plain,
% 8.31/6.28 (v112(constB157) <=> (~((~v113(constB157)) | (~v126(constB157))))),
% 8.31/6.28 inference(unit_resolution,[status(thm)],[20994, 3308])).
% 8.31/6.28 tff(20996,plain,
% 8.31/6.28 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB157) <=> (v114(constB157) | v125(constB157)))),
% 8.31/6.28 inference(quant_inst,[status(thm)],[])).
% 8.31/6.28 tff(20997,plain,
% 8.31/6.28 (v113(constB157) <=> (v114(constB157) | v125(constB157))),
% 8.31/6.28 inference(unit_resolution,[status(thm)],[20996, 3317])).
% 8.31/6.28 tff(20998,plain,
% 8.31/6.28 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB157) <=> (v115(constB157) | v124(constB157)))),
% 8.31/6.28 inference(quant_inst,[status(thm)],[])).
% 8.31/6.28 tff(20999,plain,
% 8.31/6.28 (v114(constB157) <=> (v115(constB157) | v124(constB157))),
% 8.31/6.28 inference(unit_resolution,[status(thm)],[20998, 3326])).
% 8.31/6.28 tff(21000,plain,
% 8.31/6.28 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB157) <=> (v116(constB157) | v123(constB157)))),
% 8.31/6.28 inference(quant_inst,[status(thm)],[])).
% 8.31/6.28 tff(21001,plain,
% 8.31/6.28 (v115(constB157) <=> (v116(constB157) | v123(constB157))),
% 8.31/6.28 inference(unit_resolution,[status(thm)],[21000, 3335])).
% 8.31/6.28 tff(21002,plain,
% 8.31/6.28 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB157) <=> (v117(constB157) | v122(constB157)))),
% 8.31/6.28 inference(quant_inst,[status(thm)],[])).
% 8.31/6.28 tff(21003,plain,
% 8.31/6.28 (v116(constB157) <=> (v117(constB157) | v122(constB157))),
% 8.31/6.28 inference(unit_resolution,[status(thm)],[21002, 3344])).
% 8.31/6.28 tff(21004,plain,
% 8.31/6.28 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB157) <=> (v118(constB157) | v121(constB157)))),
% 8.31/6.28 inference(quant_inst,[status(thm)],[])).
% 8.31/6.28 tff(21005,plain,
% 8.31/6.28 (v117(constB157) <=> (v118(constB157) | v121(constB157))),
% 8.31/6.28 inference(unit_resolution,[status(thm)],[21004, 3353])).
% 8.31/6.28 tff(21006,plain,
% 8.31/6.28 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB157) <=> (v119(constB157) | v120(constB157)))),
% 8.31/6.28 inference(quant_inst,[status(thm)],[])).
% 8.31/6.28 tff(21007,plain,
% 8.31/6.28 (v118(constB157) <=> (v119(constB157) | v120(constB157))),
% 8.31/6.28 inference(unit_resolution,[status(thm)],[21006, 3362])).
% 8.31/6.28 tff(21008,plain,
% 8.31/6.28 ((v119(constB157) | v120(constB157)) | (~v120(constB157))),
% 8.31/6.28 inference(tautology,[status(thm)],[])).
% 8.31/6.28 tff(21009,plain,
% 8.31/6.28 (v119(constB157) | v120(constB157)),
% 8.31/6.28 inference(unit_resolution,[status(thm)],[21008, 20941])).
% 8.31/6.28 tff(21010,plain,
% 8.31/6.28 ((~(v118(constB157) <=> (v119(constB157) | v120(constB157)))) | v118(constB157) | (~(v119(constB157) | v120(constB157)))),
% 8.31/6.28 inference(tautology,[status(thm)],[])).
% 8.31/6.28 tff(21011,plain,
% 8.31/6.28 (v118(constB157)),
% 8.31/6.28 inference(unit_resolution,[status(thm)],[21010, 21009, 21007])).
% 8.31/6.28 tff(21012,plain,
% 8.31/6.28 ((v118(constB157) | v121(constB157)) | (~v118(constB157))),
% 8.31/6.28 inference(tautology,[status(thm)],[])).
% 8.31/6.28 tff(21013,plain,
% 8.31/6.28 (v118(constB157) | v121(constB157)),
% 8.31/6.28 inference(unit_resolution,[status(thm)],[21012, 21011])).
% 8.31/6.28 tff(21014,plain,
% 8.31/6.28 ((~(v117(constB157) <=> (v118(constB157) | v121(constB157)))) | v117(constB157) | (~(v118(constB157) | v121(constB157)))),
% 8.31/6.28 inference(tautology,[status(thm)],[])).
% 8.31/6.28 tff(21015,plain,
% 8.31/6.28 (v117(constB157)),
% 8.31/6.28 inference(unit_resolution,[status(thm)],[21014, 21013, 21005])).
% 8.31/6.28 tff(21016,plain,
% 8.31/6.28 ((v117(constB157) | v122(constB157)) | (~v117(constB157))),
% 8.31/6.28 inference(tautology,[status(thm)],[])).
% 8.31/6.28 tff(21017,plain,
% 8.31/6.28 (v117(constB157) | v122(constB157)),
% 8.31/6.28 inference(unit_resolution,[status(thm)],[21016, 21015])).
% 8.31/6.28 tff(21018,plain,
% 8.31/6.28 ((~(v116(constB157) <=> (v117(constB157) | v122(constB157)))) | v116(constB157) | (~(v117(constB157) | v122(constB157)))),
% 8.31/6.28 inference(tautology,[status(thm)],[])).
% 8.31/6.28 tff(21019,plain,
% 8.31/6.28 (v116(constB157)),
% 8.31/6.28 inference(unit_resolution,[status(thm)],[21018, 21017, 21003])).
% 8.31/6.28 tff(21020,plain,
% 8.31/6.28 ((v116(constB157) | v123(constB157)) | (~v116(constB157))),
% 8.31/6.28 inference(tautology,[status(thm)],[])).
% 8.31/6.28 tff(21021,plain,
% 8.31/6.28 (v116(constB157) | v123(constB157)),
% 8.31/6.28 inference(unit_resolution,[status(thm)],[21020, 21019])).
% 8.31/6.28 tff(21022,plain,
% 8.31/6.28 ((~(v115(constB157) <=> (v116(constB157) | v123(constB157)))) | v115(constB157) | (~(v116(constB157) | v123(constB157)))),
% 8.31/6.28 inference(tautology,[status(thm)],[])).
% 8.31/6.28 tff(21023,plain,
% 8.31/6.28 (v115(constB157)),
% 8.31/6.28 inference(unit_resolution,[status(thm)],[21022, 21021, 21001])).
% 8.31/6.28 tff(21024,plain,
% 8.31/6.28 ((v115(constB157) | v124(constB157)) | (~v115(constB157))),
% 8.31/6.28 inference(tautology,[status(thm)],[])).
% 8.31/6.28 tff(21025,plain,
% 8.31/6.28 (v115(constB157) | v124(constB157)),
% 8.31/6.28 inference(unit_resolution,[status(thm)],[21024, 21023])).
% 8.31/6.28 tff(21026,plain,
% 8.31/6.28 ((~(v114(constB157) <=> (v115(constB157) | v124(constB157)))) | v114(constB157) | (~(v115(constB157) | v124(constB157)))),
% 8.31/6.28 inference(tautology,[status(thm)],[])).
% 8.31/6.28 tff(21027,plain,
% 8.31/6.28 (v114(constB157)),
% 8.31/6.28 inference(unit_resolution,[status(thm)],[21026, 21025, 20999])).
% 8.31/6.28 tff(21028,plain,
% 8.31/6.28 ((v114(constB157) | v125(constB157)) | (~v114(constB157))),
% 8.31/6.28 inference(tautology,[status(thm)],[])).
% 8.31/6.28 tff(21029,plain,
% 8.31/6.28 (v114(constB157) | v125(constB157)),
% 8.31/6.28 inference(unit_resolution,[status(thm)],[21028, 21027])).
% 8.31/6.28 tff(21030,plain,
% 8.31/6.28 ((~(v113(constB157) <=> (v114(constB157) | v125(constB157)))) | v113(constB157) | (~(v114(constB157) | v125(constB157)))),
% 8.31/6.28 inference(tautology,[status(thm)],[])).
% 8.31/6.28 tff(21031,plain,
% 8.31/6.28 (v113(constB157)),
% 8.31/6.28 inference(unit_resolution,[status(thm)],[21030, 21029, 20997])).
% 8.31/6.28 tff(21032,plain,
% 8.31/6.28 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB157)) <=> v111(constB157))),
% 8.31/6.28 inference(quant_inst,[status(thm)],[])).
% 8.31/6.28 tff(21033,plain,
% 8.31/6.28 ((~v126(constB157)) <=> v111(constB157)),
% 8.31/6.28 inference(unit_resolution,[status(thm)],[21032, 3396])).
% 8.31/6.28 tff(21034,plain,
% 8.31/6.28 ((~((~v126(constB157)) <=> v111(constB157))) | v126(constB157) | v111(constB157)),
% 8.31/6.28 inference(tautology,[status(thm)],[])).
% 8.31/6.28 tff(21035,plain,
% 8.31/6.28 ((~((~v126(constB157)) <=> v111(constB157))) | v126(constB157)),
% 8.31/6.28 inference(unit_resolution,[status(thm)],[21034, 16208])).
% 8.31/6.28 tff(21036,plain,
% 8.31/6.28 (v126(constB157)),
% 8.31/6.28 inference(unit_resolution,[status(thm)],[21035, 21033])).
% 8.31/6.28 tff(21037,plain,
% 8.31/6.28 ((~((~v113(constB157)) | (~v126(constB157)))) | (~v113(constB157)) | (~v126(constB157))),
% 8.31/6.28 inference(tautology,[status(thm)],[])).
% 8.31/6.28 tff(21038,plain,
% 8.31/6.28 ((~((~v113(constB157)) | (~v126(constB157)))) | (~v113(constB157))),
% 8.31/6.28 inference(unit_resolution,[status(thm)],[21037, 21036])).
% 8.31/6.28 tff(21039,plain,
% 8.31/6.28 (~((~v113(constB157)) | (~v126(constB157)))),
% 8.31/6.28 inference(unit_resolution,[status(thm)],[21038, 21031])).
% 8.31/6.28 tff(21040,plain,
% 8.31/6.28 ((~(v112(constB157) <=> (~((~v113(constB157)) | (~v126(constB157)))))) | v112(constB157) | ((~v113(constB157)) | (~v126(constB157)))),
% 8.31/6.28 inference(tautology,[status(thm)],[])).
% 8.31/6.28 tff(21041,plain,
% 8.31/6.28 (v112(constB157)),
% 8.31/6.28 inference(unit_resolution,[status(thm)],[21040, 21039, 20995])).
% 8.31/6.28 tff(21042,plain,
% 8.31/6.28 ((v111(constB157) | v112(constB157)) | (~v112(constB157))),
% 8.31/6.28 inference(tautology,[status(thm)],[])).
% 8.31/6.28 tff(21043,plain,
% 8.31/6.28 (v111(constB157) | v112(constB157)),
% 8.31/6.28 inference(unit_resolution,[status(thm)],[21042, 21041])).
% 8.31/6.28 tff(21044,plain,
% 8.31/6.28 ((~(v108(constB157) <=> (v111(constB157) | v112(constB157)))) | v108(constB157) | (~(v111(constB157) | v112(constB157)))),
% 8.31/6.28 inference(tautology,[status(thm)],[])).
% 8.31/6.28 tff(21045,plain,
% 8.31/6.28 (v108(constB157)),
% 8.31/6.28 inference(unit_resolution,[status(thm)],[21044, 21043, 20993])).
% 8.31/6.28 tff(21046,plain,
% 8.31/6.28 ((~(v110(constB158) <=> v108(constB157))) | v110(constB158) | (~v108(constB157))),
% 8.31/6.28 inference(tautology,[status(thm)],[])).
% 8.31/6.28 tff(21047,plain,
% 8.31/6.28 (v110(constB158)),
% 8.31/6.28 inference(unit_resolution,[status(thm)],[21046, 21045, 20991])).
% 8.31/6.28 tff(21048,plain,
% 8.31/6.28 ((~((~v101(constB158)) | (~v110(constB158)))) | (~v101(constB158)) | (~v110(constB158))),
% 8.31/6.28 inference(tautology,[status(thm)],[])).
% 8.31/6.28 tff(21049,plain,
% 8.31/6.28 (~((~v101(constB158)) | (~v110(constB158)))),
% 8.31/6.28 inference(unit_resolution,[status(thm)],[21048, 21047, 20987])).
% 8.31/6.28 tff(21050,plain,
% 8.31/6.28 ((~(v100(constB158) <=> (~((~v101(constB158)) | (~v110(constB158)))))) | v100(constB158) | ((~v101(constB158)) | (~v110(constB158)))),
% 8.31/6.28 inference(tautology,[status(thm)],[])).
% 8.31/6.28 tff(21051,plain,
% 8.31/6.28 (v100(constB158)),
% 8.31/6.28 inference(unit_resolution,[status(thm)],[21050, 21049, 20959])).
% 8.31/6.28 tff(21052,plain,
% 8.31/6.28 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB158)) | (~(((~v90(constB158, bitIndex0)) <=> v129(constB158, bitIndex0)) | ((~v90(constB158, bitIndex2)) <=> v129(constB158, bitIndex2)) | ((~v90(constB158, bitIndex1)) <=> v129(constB158, bitIndex1)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB158)) | (~(((~v90(constB158, bitIndex0)) <=> v129(constB158, bitIndex0)) | ((~v90(constB158, bitIndex2)) <=> v129(constB158, bitIndex2)) | ((~v90(constB158, bitIndex1)) <=> v129(constB158, bitIndex1)))))),
% 8.31/6.28 inference(rewrite,[status(thm)],[])).
% 8.31/6.28 tff(21053,plain,
% 8.31/6.28 (((~v100(constB158)) | (~(((~v90(constB158, bitIndex2)) <=> v129(constB158, bitIndex2)) | ((~v90(constB158, bitIndex1)) <=> v129(constB158, bitIndex1)) | ((~v90(constB158, bitIndex0)) <=> v129(constB158, bitIndex0))))) <=> ((~v100(constB158)) | (~(((~v90(constB158, bitIndex0)) <=> v129(constB158, bitIndex0)) | ((~v90(constB158, bitIndex2)) <=> v129(constB158, bitIndex2)) | ((~v90(constB158, bitIndex1)) <=> v129(constB158, bitIndex1)))))),
% 8.31/6.28 inference(rewrite,[status(thm)],[])).
% 8.31/6.28 tff(21054,plain,
% 8.31/6.28 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB158)) | (~(((~v90(constB158, bitIndex2)) <=> v129(constB158, bitIndex2)) | ((~v90(constB158, bitIndex1)) <=> v129(constB158, bitIndex1)) | ((~v90(constB158, bitIndex0)) <=> v129(constB158, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB158)) | (~(((~v90(constB158, bitIndex0)) <=> v129(constB158, bitIndex0)) | ((~v90(constB158, bitIndex2)) <=> v129(constB158, bitIndex2)) | ((~v90(constB158, bitIndex1)) <=> v129(constB158, bitIndex1))))))),
% 8.31/6.28 inference(monotonicity,[status(thm)],[21053])).
% 8.31/6.28 tff(21055,plain,
% 8.31/6.28 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB158)) | (~(((~v90(constB158, bitIndex2)) <=> v129(constB158, bitIndex2)) | ((~v90(constB158, bitIndex1)) <=> v129(constB158, bitIndex1)) | ((~v90(constB158, bitIndex0)) <=> v129(constB158, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB158)) | (~(((~v90(constB158, bitIndex0)) <=> v129(constB158, bitIndex0)) | ((~v90(constB158, bitIndex2)) <=> v129(constB158, bitIndex2)) | ((~v90(constB158, bitIndex1)) <=> v129(constB158, bitIndex1)))))),
% 8.31/6.28 inference(transitivity,[status(thm)],[21054, 21052])).
% 8.31/6.28 tff(21056,plain,
% 8.31/6.28 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB158)) | (~(((~v90(constB158, bitIndex2)) <=> v129(constB158, bitIndex2)) | ((~v90(constB158, bitIndex1)) <=> v129(constB158, bitIndex1)) | ((~v90(constB158, bitIndex0)) <=> v129(constB158, bitIndex0)))))),
% 8.31/6.28 inference(quant_inst,[status(thm)],[])).
% 8.31/6.28 tff(21057,plain,
% 8.31/6.28 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB158)) | (~(((~v90(constB158, bitIndex0)) <=> v129(constB158, bitIndex0)) | ((~v90(constB158, bitIndex2)) <=> v129(constB158, bitIndex2)) | ((~v90(constB158, bitIndex1)) <=> v129(constB158, bitIndex1))))),
% 8.31/6.28 inference(modus_ponens,[status(thm)],[21056, 21055])).
% 8.31/6.28 tff(21058,plain,
% 8.31/6.28 ((~v100(constB158)) | (~(((~v90(constB158, bitIndex0)) <=> v129(constB158, bitIndex0)) | ((~v90(constB158, bitIndex2)) <=> v129(constB158, bitIndex2)) | ((~v90(constB158, bitIndex1)) <=> v129(constB158, bitIndex1))))),
% 8.31/6.28 inference(unit_resolution,[status(thm)],[21057, 3429])).
% 8.31/6.28 tff(21059,plain,
% 8.31/6.28 (~(((~v90(constB158, bitIndex0)) <=> v129(constB158, bitIndex0)) | ((~v90(constB158, bitIndex2)) <=> v129(constB158, bitIndex2)) | ((~v90(constB158, bitIndex1)) <=> v129(constB158, bitIndex1)))),
% 8.31/6.28 inference(unit_resolution,[status(thm)],[21058, 21051])).
% 8.31/6.28 tff(21060,plain,
% 8.31/6.28 ((((~v90(constB158, bitIndex0)) <=> v129(constB158, bitIndex0)) | ((~v90(constB158, bitIndex2)) <=> v129(constB158, bitIndex2)) | ((~v90(constB158, bitIndex1)) <=> v129(constB158, bitIndex1))) | (~((~v90(constB158, bitIndex2)) <=> v129(constB158, bitIndex2)))),
% 8.31/6.28 inference(tautology,[status(thm)],[])).
% 8.31/6.28 tff(21061,plain,
% 8.31/6.28 (~((~v90(constB158, bitIndex2)) <=> v129(constB158, bitIndex2))),
% 8.31/6.28 inference(unit_resolution,[status(thm)],[21060, 21059])).
% 8.31/6.28 tff(21062,plain,
% 8.31/6.28 (((~v90(constB158, bitIndex2)) <=> v129(constB158, bitIndex2)) | (~v90(constB158, bitIndex2)) | v129(constB158, bitIndex2)),
% 8.31/6.28 inference(tautology,[status(thm)],[])).
% 8.31/6.28 tff(21063,plain,
% 8.31/6.28 (~v90(constB158, bitIndex2)),
% 8.31/6.28 inference(unit_resolution,[status(thm)],[21062, 21061, 20955])).
% 8.31/6.28 tff(21064,plain,
% 8.31/6.28 (((~v90(constB159, bitIndex2)) <=> v90(constB158, bitIndex2)) | (~v90(constB159, bitIndex2)) | v90(constB158, bitIndex2)),
% 8.31/6.28 inference(tautology,[status(thm)],[])).
% 8.31/6.28 tff(21065,plain,
% 8.31/6.28 (~v90(constB159, bitIndex2)),
% 8.31/6.28 inference(unit_resolution,[status(thm)],[21064, 21063, 16192])).
% 8.31/6.28 tff(21066,plain,
% 8.31/6.28 ((((~v90(constB159, bitIndex1)) <=> v90(constB158, bitIndex1)) | ((~v90(constB159, bitIndex2)) <=> v90(constB158, bitIndex2)) | ((~v90(constB159, bitIndex0)) <=> v90(constB158, bitIndex0))) | (~((~v90(constB159, bitIndex0)) <=> v90(constB158, bitIndex0)))),
% 8.31/6.28 inference(tautology,[status(thm)],[])).
% 8.31/6.28 tff(21067,plain,
% 8.31/6.28 (~((~v90(constB159, bitIndex0)) <=> v90(constB158, bitIndex0))),
% 8.31/6.28 inference(unit_resolution,[status(thm)],[21066, 16190])).
% 8.31/6.28 tff(21068,plain,
% 8.31/6.28 ((((~v129(constB158, bitIndex2)) <=> v127(constB157, bitIndex2)) | ((~v129(constB158, bitIndex1)) <=> v127(constB157, bitIndex1)) | ((~v129(constB158, bitIndex0)) <=> v127(constB157, bitIndex0))) | (~((~v129(constB158, bitIndex0)) <=> v127(constB157, bitIndex0)))),
% 8.31/6.28 inference(tautology,[status(thm)],[])).
% 8.31/6.28 tff(21069,plain,
% 8.31/6.28 (~((~v129(constB158, bitIndex0)) <=> v127(constB157, bitIndex0))),
% 8.31/6.28 inference(unit_resolution,[status(thm)],[21068, 16199])).
% 8.31/6.28 tff(21070,plain,
% 8.31/6.28 ((((~v127(constB157, bitIndex2)) <=> v130(constB157, bitIndex2)) | ((~v127(constB157, bitIndex1)) <=> v130(constB157, bitIndex1)) | ((~v127(constB157, bitIndex0)) <=> v130(constB157, bitIndex0))) | (~((~v127(constB157, bitIndex0)) <=> v130(constB157, bitIndex0)))),
% 8.31/6.28 inference(tautology,[status(thm)],[])).
% 8.31/6.28 tff(21071,plain,
% 8.31/6.28 (~((~v127(constB157, bitIndex0)) <=> v130(constB157, bitIndex0))),
% 8.31/6.28 inference(unit_resolution,[status(thm)],[21070, 16213])).
% 8.31/6.28 tff(21072,plain,
% 8.31/6.28 ((v130(constB157, bitIndex2) | v130(constB157, bitIndex0) | (~v130(constB157, bitIndex1))) | (~v130(constB157, bitIndex0))),
% 8.31/6.28 inference(tautology,[status(thm)],[])).
% 8.31/6.28 tff(21073,plain,
% 8.31/6.28 (~v130(constB157, bitIndex0)),
% 8.31/6.28 inference(unit_resolution,[status(thm)],[21072, 20949])).
% 8.31/6.28 tff(21074,plain,
% 8.31/6.28 (((~v127(constB157, bitIndex0)) <=> v130(constB157, bitIndex0)) | (~v127(constB157, bitIndex0)) | v130(constB157, bitIndex0)),
% 8.31/6.28 inference(tautology,[status(thm)],[])).
% 8.31/6.28 tff(21075,plain,
% 8.31/6.28 (~v127(constB157, bitIndex0)),
% 8.31/6.28 inference(unit_resolution,[status(thm)],[21074, 21073, 21071])).
% 8.31/6.28 tff(21076,plain,
% 8.31/6.28 (((~v129(constB158, bitIndex0)) <=> v127(constB157, bitIndex0)) | (~v129(constB158, bitIndex0)) | v127(constB157, bitIndex0)),
% 8.31/6.28 inference(tautology,[status(thm)],[])).
% 8.31/6.28 tff(21077,plain,
% 8.31/6.28 (~v129(constB158, bitIndex0)),
% 8.31/6.28 inference(unit_resolution,[status(thm)],[21076, 21075, 21069])).
% 8.31/6.28 tff(21078,plain,
% 8.31/6.28 ((((~v90(constB158, bitIndex0)) <=> v129(constB158, bitIndex0)) | ((~v90(constB158, bitIndex2)) <=> v129(constB158, bitIndex2)) | ((~v90(constB158, bitIndex1)) <=> v129(constB158, bitIndex1))) | (~((~v90(constB158, bitIndex0)) <=> v129(constB158, bitIndex0)))),
% 8.31/6.28 inference(tautology,[status(thm)],[])).
% 8.31/6.28 tff(21079,plain,
% 8.31/6.28 (~((~v90(constB158, bitIndex0)) <=> v129(constB158, bitIndex0))),
% 8.31/6.28 inference(unit_resolution,[status(thm)],[21078, 21059])).
% 8.31/6.28 tff(21080,plain,
% 8.31/6.28 (((~v90(constB158, bitIndex0)) <=> v129(constB158, bitIndex0)) | (~v90(constB158, bitIndex0)) | v129(constB158, bitIndex0)),
% 8.31/6.28 inference(tautology,[status(thm)],[])).
% 8.31/6.28 tff(21081,plain,
% 8.31/6.28 (~v90(constB158, bitIndex0)),
% 8.31/6.28 inference(unit_resolution,[status(thm)],[21080, 21079, 21077])).
% 8.31/6.28 tff(21082,plain,
% 8.31/6.28 (((~v90(constB159, bitIndex0)) <=> v90(constB158, bitIndex0)) | (~v90(constB159, bitIndex0)) | v90(constB158, bitIndex0)),
% 8.31/6.28 inference(tautology,[status(thm)],[])).
% 8.31/6.28 tff(21083,plain,
% 8.31/6.28 (~v90(constB159, bitIndex0)),
% 8.31/6.28 inference(unit_resolution,[status(thm)],[21082, 21081, 21067])).
% 8.31/6.28 tff(21084,plain,
% 8.31/6.28 ((((~v90(constB159, bitIndex1)) <=> v90(constB158, bitIndex1)) | ((~v90(constB159, bitIndex2)) <=> v90(constB158, bitIndex2)) | ((~v90(constB159, bitIndex0)) <=> v90(constB158, bitIndex0))) | (~((~v90(constB159, bitIndex1)) <=> v90(constB158, bitIndex1)))),
% 8.31/6.28 inference(tautology,[status(thm)],[])).
% 8.31/6.28 tff(21085,plain,
% 8.31/6.28 (~((~v90(constB159, bitIndex1)) <=> v90(constB158, bitIndex1))),
% 8.31/6.28 inference(unit_resolution,[status(thm)],[21084, 16190])).
% 8.31/6.28 tff(21086,plain,
% 8.31/6.28 ((((~v129(constB158, bitIndex2)) <=> v127(constB157, bitIndex2)) | ((~v129(constB158, bitIndex1)) <=> v127(constB157, bitIndex1)) | ((~v129(constB158, bitIndex0)) <=> v127(constB157, bitIndex0))) | (~((~v129(constB158, bitIndex1)) <=> v127(constB157, bitIndex1)))),
% 8.31/6.28 inference(tautology,[status(thm)],[])).
% 8.31/6.28 tff(21087,plain,
% 8.31/6.28 (~((~v129(constB158, bitIndex1)) <=> v127(constB157, bitIndex1))),
% 8.31/6.28 inference(unit_resolution,[status(thm)],[21086, 16199])).
% 8.31/6.28 tff(21088,plain,
% 8.31/6.28 ((((~v127(constB157, bitIndex2)) <=> v130(constB157, bitIndex2)) | ((~v127(constB157, bitIndex1)) <=> v130(constB157, bitIndex1)) | ((~v127(constB157, bitIndex0)) <=> v130(constB157, bitIndex0))) | (~((~v127(constB157, bitIndex1)) <=> v130(constB157, bitIndex1)))),
% 8.31/6.28 inference(tautology,[status(thm)],[])).
% 8.31/6.28 tff(21089,plain,
% 8.31/6.28 (~((~v127(constB157, bitIndex1)) <=> v130(constB157, bitIndex1))),
% 8.31/6.28 inference(unit_resolution,[status(thm)],[21088, 16213])).
% 8.31/6.28 tff(21090,plain,
% 8.31/6.28 ((v130(constB157, bitIndex2) | v130(constB157, bitIndex0) | (~v130(constB157, bitIndex1))) | v130(constB157, bitIndex1)),
% 8.31/6.28 inference(tautology,[status(thm)],[])).
% 8.31/6.28 tff(21091,plain,
% 8.31/6.28 (v130(constB157, bitIndex1)),
% 8.31/6.28 inference(unit_resolution,[status(thm)],[21090, 20949])).
% 8.31/6.28 tff(21092,plain,
% 8.31/6.28 (((~v127(constB157, bitIndex1)) <=> v130(constB157, bitIndex1)) | v127(constB157, bitIndex1) | (~v130(constB157, bitIndex1))),
% 8.31/6.28 inference(tautology,[status(thm)],[])).
% 8.31/6.28 tff(21093,plain,
% 8.31/6.28 (v127(constB157, bitIndex1)),
% 8.31/6.28 inference(unit_resolution,[status(thm)],[21092, 21091, 21089])).
% 8.31/6.28 tff(21094,plain,
% 8.31/6.28 (((~v129(constB158, bitIndex1)) <=> v127(constB157, bitIndex1)) | v129(constB158, bitIndex1) | (~v127(constB157, bitIndex1))),
% 8.31/6.28 inference(tautology,[status(thm)],[])).
% 8.31/6.28 tff(21095,plain,
% 8.31/6.28 (v129(constB158, bitIndex1)),
% 8.31/6.28 inference(unit_resolution,[status(thm)],[21094, 21093, 21087])).
% 8.31/6.28 tff(21096,plain,
% 8.31/6.28 ((((~v90(constB158, bitIndex0)) <=> v129(constB158, bitIndex0)) | ((~v90(constB158, bitIndex2)) <=> v129(constB158, bitIndex2)) | ((~v90(constB158, bitIndex1)) <=> v129(constB158, bitIndex1))) | (~((~v90(constB158, bitIndex1)) <=> v129(constB158, bitIndex1)))),
% 8.31/6.28 inference(tautology,[status(thm)],[])).
% 8.31/6.28 tff(21097,plain,
% 8.31/6.28 (~((~v90(constB158, bitIndex1)) <=> v129(constB158, bitIndex1))),
% 8.31/6.28 inference(unit_resolution,[status(thm)],[21096, 21059])).
% 8.31/6.28 tff(21098,plain,
% 8.31/6.28 (((~v90(constB158, bitIndex1)) <=> v129(constB158, bitIndex1)) | v90(constB158, bitIndex1) | (~v129(constB158, bitIndex1))),
% 8.31/6.28 inference(tautology,[status(thm)],[])).
% 8.31/6.28 tff(21099,plain,
% 8.31/6.28 (v90(constB158, bitIndex1)),
% 8.31/6.28 inference(unit_resolution,[status(thm)],[21098, 21097, 21095])).
% 8.31/6.28 tff(21100,plain,
% 8.31/6.28 (((~v90(constB159, bitIndex1)) <=> v90(constB158, bitIndex1)) | v90(constB159, bitIndex1) | (~v90(constB158, bitIndex1))),
% 8.31/6.28 inference(tautology,[status(thm)],[])).
% 8.31/6.28 tff(21101,plain,
% 8.31/6.28 (v90(constB159, bitIndex1)),
% 8.31/6.28 inference(unit_resolution,[status(thm)],[21100, 21099, 21085])).
% 8.31/6.28 tff(21102,plain,
% 8.31/6.28 ((~(v90(constB159, bitIndex2) | v90(constB159, bitIndex0) | (~v90(constB159, bitIndex1)))) | v90(constB159, bitIndex2) | v90(constB159, bitIndex0) | (~v90(constB159, bitIndex1))),
% 8.31/6.28 inference(tautology,[status(thm)],[])).
% 8.31/6.28 tff(21103,plain,
% 8.31/6.28 (~(v90(constB159, bitIndex2) | v90(constB159, bitIndex0) | (~v90(constB159, bitIndex1)))),
% 8.31/6.28 inference(unit_resolution,[status(thm)],[21102, 21101, 21083, 21065])).
% 8.31/6.28 tff(21104,plain,
% 8.31/6.28 ((~(v121(constB159) <=> (~(v90(constB159, bitIndex2) | v90(constB159, bitIndex0) | (~v90(constB159, bitIndex1)))))) | v121(constB159) | (v90(constB159, bitIndex2) | v90(constB159, bitIndex0) | (~v90(constB159, bitIndex1)))),
% 8.31/6.28 inference(tautology,[status(thm)],[])).
% 8.31/6.28 tff(21105,plain,
% 8.31/6.28 (v121(constB159)),
% 8.31/6.28 inference(unit_resolution,[status(thm)],[21104, 21103, 16156])).
% 8.31/6.28 tff(21106,plain,
% 8.31/6.28 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB159)) | (~(v130(constB159, bitIndex2) | (~v130(constB159, bitIndex1)) | (~v130(constB159, bitIndex0)))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | (~v121(constB159)) | (~(v130(constB159, bitIndex2) | (~v130(constB159, bitIndex1)) | (~v130(constB159, bitIndex0)))))),
% 8.31/6.28 inference(rewrite,[status(thm)],[])).
% 8.31/6.28 tff(21107,plain,
% 8.31/6.28 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB159)) | (~(v130(constB159, bitIndex2) | (~v130(constB159, bitIndex1)) | (~v130(constB159, bitIndex0)))))),
% 8.31/6.28 inference(quant_inst,[status(thm)],[])).
% 8.31/6.28 tff(21108,plain,
% 8.31/6.28 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | (~v121(constB159)) | (~(v130(constB159, bitIndex2) | (~v130(constB159, bitIndex1)) | (~v130(constB159, bitIndex0))))),
% 8.31/6.28 inference(modus_ponens,[status(thm)],[21107, 21106])).
% 8.31/6.28 tff(21109,plain,
% 8.31/6.28 ((~v121(constB159)) | (~(v130(constB159, bitIndex2) | (~v130(constB159, bitIndex1)) | (~v130(constB159, bitIndex0))))),
% 8.31/6.28 inference(unit_resolution,[status(thm)],[21108, 4055])).
% 8.31/6.28 tff(21110,plain,
% 8.31/6.28 (~(v130(constB159, bitIndex2) | (~v130(constB159, bitIndex1)) | (~v130(constB159, bitIndex0)))),
% 8.31/6.28 inference(unit_resolution,[status(thm)],[21109, 21105])).
% 8.31/6.28 tff(21111,plain,
% 8.31/6.28 ((v130(constB159, bitIndex2) | (~v130(constB159, bitIndex1)) | (~v130(constB159, bitIndex0))) | (~v130(constB159, bitIndex2))),
% 8.31/6.28 inference(tautology,[status(thm)],[])).
% 8.31/6.28 tff(21112,plain,
% 8.31/6.28 (~v130(constB159, bitIndex2)),
% 8.31/6.28 inference(unit_resolution,[status(thm)],[21111, 21110])).
% 8.31/6.28 tff(21113,plain,
% 8.31/6.28 (((~v127(constB159, bitIndex2)) <=> v130(constB159, bitIndex2)) | (~v127(constB159, bitIndex2)) | v130(constB159, bitIndex2)),
% 8.31/6.28 inference(tautology,[status(thm)],[])).
% 8.31/6.28 tff(21114,plain,
% 8.31/6.28 (~v127(constB159, bitIndex2)),
% 8.31/6.28 inference(unit_resolution,[status(thm)],[21113, 21112, 16149])).
% 8.31/6.28 tff(21115,plain,
% 8.31/6.28 (((~v129(constB160, bitIndex2)) <=> v127(constB159, bitIndex2)) | (~v129(constB160, bitIndex2)) | v127(constB159, bitIndex2)),
% 8.31/6.28 inference(tautology,[status(thm)],[])).
% 8.31/6.28 tff(21116,plain,
% 8.31/6.28 (~v129(constB160, bitIndex2)),
% 8.31/6.28 inference(unit_resolution,[status(thm)],[21115, 21114, 16135])).
% 8.31/6.28 tff(21117,plain,
% 8.31/6.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB159, constB160)) | (v100(constB160) <=> (~((~v101(constB160)) | (~v110(constB160))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB159, constB160)) | (v100(constB160) <=> (~((~v101(constB160)) | (~v110(constB160))))))),
% 8.31/6.28 inference(rewrite,[status(thm)],[])).
% 8.31/6.28 tff(21118,plain,
% 8.31/6.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB159, constB160)) | (v100(constB160) <=> (~((~v101(constB160)) | (~v110(constB160))))))),
% 8.31/6.28 inference(quant_inst,[status(thm)],[])).
% 8.31/6.28 tff(21119,plain,
% 8.31/6.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB159, constB160)) | (v100(constB160) <=> (~((~v101(constB160)) | (~v110(constB160)))))),
% 8.31/6.28 inference(modus_ponens,[status(thm)],[21118, 21117])).
% 8.31/6.28 tff(21120,plain,
% 8.31/6.28 (v100(constB160) <=> (~((~v101(constB160)) | (~v110(constB160))))),
% 8.31/6.28 inference(unit_resolution,[status(thm)],[21119, 16129, 445])).
% 8.31/6.28 tff(21121,plain,
% 8.31/6.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB159, constB160)) | (v101(constB160) <=> (~((~v1(constB160)) | (~v102(constB160))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB159, constB160)) | (v101(constB160) <=> (~((~v1(constB160)) | (~v102(constB160))))))),
% 8.31/6.28 inference(rewrite,[status(thm)],[])).
% 8.31/6.28 tff(21122,plain,
% 8.31/6.28 (((~nextState(constB159, constB160)) | (v101(constB160) <=> (~((~v102(constB160)) | (~v1(constB160)))))) <=> ((~nextState(constB159, constB160)) | (v101(constB160) <=> (~((~v1(constB160)) | (~v102(constB160))))))),
% 8.31/6.28 inference(rewrite,[status(thm)],[])).
% 8.31/6.28 tff(21123,plain,
% 8.31/6.28 (((~![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) <=> (~((~v1(constB160)) | (~v102(constB160)))))))),
% 8.31/6.28 inference(monotonicity,[status(thm)],[21122])).
% 8.31/6.28 tff(21124,plain,
% 8.31/6.28 (((~![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) <=> (~((~v1(constB160)) | (~v102(constB160))))))),
% 8.31/6.28 inference(transitivity,[status(thm)],[21123, 21121])).
% 8.31/6.28 tff(21125,plain,
% 8.31/6.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB159, constB160)) | (v101(constB160) <=> (~((~v102(constB160)) | (~v1(constB160))))))),
% 8.31/6.28 inference(quant_inst,[status(thm)],[])).
% 8.31/6.28 tff(21126,plain,
% 8.31/6.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB159, constB160)) | (v101(constB160) <=> (~((~v1(constB160)) | (~v102(constB160)))))),
% 8.31/6.28 inference(modus_ponens,[status(thm)],[21125, 21124])).
% 8.31/6.28 tff(21127,plain,
% 8.31/6.28 (v101(constB160) <=> (~((~v1(constB160)) | (~v102(constB160))))),
% 8.31/6.28 inference(unit_resolution,[status(thm)],[21126, 16129, 465])).
% 8.31/6.28 tff(21128,plain,
% 8.31/6.28 (((~![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)))),
% 8.31/6.28 inference(rewrite,[status(thm)],[])).
% 8.31/6.28 tff(21129,plain,
% 8.31/6.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB159, constB160)) | ((~v102(constB160)) <=> v104(constB160)))),
% 8.31/6.28 inference(quant_inst,[status(thm)],[])).
% 8.31/6.28 tff(21130,plain,
% 8.31/6.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB159, constB160)) | ((~v102(constB160)) <=> v104(constB160))),
% 8.31/6.28 inference(modus_ponens,[status(thm)],[21129, 21128])).
% 8.31/6.28 tff(21131,plain,
% 8.31/6.28 ((~v102(constB160)) <=> v104(constB160)),
% 8.31/6.28 inference(unit_resolution,[status(thm)],[21130, 16129, 3244])).
% 8.31/6.28 tff(21132,plain,
% 8.31/6.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB159, constB160)) | (v104(constB160) <=> v1(constB159)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB159, constB160)) | (v104(constB160) <=> v1(constB159)))),
% 8.31/6.28 inference(rewrite,[status(thm)],[])).
% 8.31/6.28 tff(21133,plain,
% 8.31/6.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB159, constB160)) | (v104(constB160) <=> v1(constB159)))),
% 8.31/6.29 inference(quant_inst,[status(thm)],[])).
% 8.31/6.29 tff(21134,plain,
% 8.31/6.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB159, constB160)) | (v104(constB160) <=> v1(constB159))),
% 8.31/6.29 inference(modus_ponens,[status(thm)],[21133, 21132])).
% 8.31/6.29 tff(21135,plain,
% 8.31/6.29 (v104(constB160) <=> v1(constB159)),
% 8.31/6.29 inference(unit_resolution,[status(thm)],[21134, 16129, 3258])).
% 8.31/6.29 tff(21136,plain,
% 8.31/6.29 ((~(v104(constB160) <=> v1(constB159))) | (~v104(constB160)) | v1(constB159)),
% 8.31/6.29 inference(tautology,[status(thm)],[])).
% 8.31/6.29 tff(21137,plain,
% 8.31/6.29 ((~(v104(constB160) <=> v1(constB159))) | (~v104(constB160))),
% 8.31/6.29 inference(unit_resolution,[status(thm)],[21136, 16173])).
% 8.31/6.29 tff(21138,plain,
% 8.31/6.29 (~v104(constB160)),
% 8.31/6.29 inference(unit_resolution,[status(thm)],[21137, 21135])).
% 8.31/6.29 tff(21139,plain,
% 8.31/6.29 ((~((~v102(constB160)) <=> v104(constB160))) | v102(constB160) | v104(constB160)),
% 8.31/6.29 inference(tautology,[status(thm)],[])).
% 8.31/6.29 tff(21140,plain,
% 8.31/6.29 (v102(constB160)),
% 8.31/6.29 inference(unit_resolution,[status(thm)],[21139, 21138, 21131])).
% 8.31/6.29 tff(21141,plain,
% 8.31/6.29 (v1(constB160) <=> v1(constB160)),
% 8.31/6.29 inference(rewrite,[status(thm)],[])).
% 8.31/6.29 tff(21142,axiom,(v1(constB160)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_160')).
% 8.31/6.29 tff(21143,plain,
% 8.31/6.29 (v1(constB160)),
% 8.31/6.29 inference(modus_ponens,[status(thm)],[21142, 21141])).
% 8.31/6.29 tff(21144,plain,
% 8.31/6.29 ((~((~v1(constB160)) | (~v102(constB160)))) | (~v1(constB160)) | (~v102(constB160))),
% 8.31/6.29 inference(tautology,[status(thm)],[])).
% 8.31/6.29 tff(21145,plain,
% 8.31/6.29 ((~((~v1(constB160)) | (~v102(constB160)))) | (~v102(constB160))),
% 8.31/6.29 inference(unit_resolution,[status(thm)],[21144, 21143])).
% 8.31/6.29 tff(21146,plain,
% 8.31/6.29 (~((~v1(constB160)) | (~v102(constB160)))),
% 8.31/6.29 inference(unit_resolution,[status(thm)],[21145, 21140])).
% 8.31/6.29 tff(21147,plain,
% 8.31/6.29 ((~(v101(constB160) <=> (~((~v1(constB160)) | (~v102(constB160)))))) | v101(constB160) | ((~v1(constB160)) | (~v102(constB160)))),
% 8.31/6.29 inference(tautology,[status(thm)],[])).
% 8.31/6.29 tff(21148,plain,
% 8.31/6.29 (v101(constB160)),
% 8.31/6.29 inference(unit_resolution,[status(thm)],[21147, 21146, 21127])).
% 8.31/6.29 tff(21149,plain,
% 8.31/6.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB159, constB160)) | (v110(constB160) <=> v108(constB159)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB159, constB160)) | (v110(constB160) <=> v108(constB159)))),
% 8.31/6.29 inference(rewrite,[status(thm)],[])).
% 8.31/6.29 tff(21150,plain,
% 8.31/6.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB159, constB160)) | (v110(constB160) <=> v108(constB159)))),
% 8.31/6.29 inference(quant_inst,[status(thm)],[])).
% 8.31/6.29 tff(21151,plain,
% 8.31/6.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB159, constB160)) | (v110(constB160) <=> v108(constB159))),
% 8.31/6.29 inference(modus_ponens,[status(thm)],[21150, 21149])).
% 8.31/6.29 tff(21152,plain,
% 8.31/6.29 (v110(constB160) <=> v108(constB159)),
% 8.31/6.29 inference(unit_resolution,[status(thm)],[21151, 16129, 3285])).
% 8.31/6.29 tff(21153,plain,
% 8.31/6.29 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB159) <=> (v111(constB159) | v112(constB159)))),
% 8.31/6.29 inference(quant_inst,[status(thm)],[])).
% 8.31/6.29 tff(21154,plain,
% 8.31/6.29 (v108(constB159) <=> (v111(constB159) | v112(constB159))),
% 8.31/6.29 inference(unit_resolution,[status(thm)],[21153, 3296])).
% 8.31/6.29 tff(21155,plain,
% 8.31/6.29 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB159) <=> (~((~v113(constB159)) | (~v126(constB159)))))),
% 8.31/6.29 inference(quant_inst,[status(thm)],[])).
% 8.31/6.29 tff(21156,plain,
% 8.31/6.29 (v112(constB159) <=> (~((~v113(constB159)) | (~v126(constB159))))),
% 8.31/6.29 inference(unit_resolution,[status(thm)],[21155, 3308])).
% 8.31/6.29 tff(21157,plain,
% 8.31/6.29 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB159) <=> (v114(constB159) | v125(constB159)))),
% 8.31/6.29 inference(quant_inst,[status(thm)],[])).
% 8.31/6.29 tff(21158,plain,
% 8.31/6.29 (v113(constB159) <=> (v114(constB159) | v125(constB159))),
% 8.31/6.29 inference(unit_resolution,[status(thm)],[21157, 3317])).
% 8.31/6.29 tff(21159,plain,
% 8.31/6.29 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB159) <=> (v115(constB159) | v124(constB159)))),
% 8.31/6.29 inference(quant_inst,[status(thm)],[])).
% 8.31/6.29 tff(21160,plain,
% 8.31/6.29 (v114(constB159) <=> (v115(constB159) | v124(constB159))),
% 8.31/6.29 inference(unit_resolution,[status(thm)],[21159, 3326])).
% 8.31/6.29 tff(21161,plain,
% 8.31/6.29 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB159) <=> (v116(constB159) | v123(constB159)))),
% 8.31/6.29 inference(quant_inst,[status(thm)],[])).
% 8.31/6.29 tff(21162,plain,
% 8.31/6.29 (v115(constB159) <=> (v116(constB159) | v123(constB159))),
% 8.31/6.29 inference(unit_resolution,[status(thm)],[21161, 3335])).
% 8.31/6.29 tff(21163,plain,
% 8.31/6.29 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB159) <=> (v117(constB159) | v122(constB159)))),
% 8.31/6.29 inference(quant_inst,[status(thm)],[])).
% 8.31/6.29 tff(21164,plain,
% 8.31/6.29 (v116(constB159) <=> (v117(constB159) | v122(constB159))),
% 8.31/6.29 inference(unit_resolution,[status(thm)],[21163, 3344])).
% 8.31/6.29 tff(21165,plain,
% 8.31/6.29 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB159) <=> (v118(constB159) | v121(constB159)))),
% 8.31/6.29 inference(quant_inst,[status(thm)],[])).
% 8.31/6.29 tff(21166,plain,
% 8.31/6.29 (v117(constB159) <=> (v118(constB159) | v121(constB159))),
% 8.31/6.29 inference(unit_resolution,[status(thm)],[21165, 3353])).
% 8.31/6.29 tff(21167,plain,
% 8.31/6.29 ((v118(constB159) | v121(constB159)) | (~v121(constB159))),
% 8.31/6.29 inference(tautology,[status(thm)],[])).
% 8.31/6.29 tff(21168,plain,
% 8.31/6.29 (v118(constB159) | v121(constB159)),
% 8.31/6.29 inference(unit_resolution,[status(thm)],[21167, 21105])).
% 8.31/6.29 tff(21169,plain,
% 8.31/6.29 ((~(v117(constB159) <=> (v118(constB159) | v121(constB159)))) | v117(constB159) | (~(v118(constB159) | v121(constB159)))),
% 8.31/6.29 inference(tautology,[status(thm)],[])).
% 8.31/6.29 tff(21170,plain,
% 8.31/6.29 (v117(constB159)),
% 8.31/6.29 inference(unit_resolution,[status(thm)],[21169, 21168, 21166])).
% 8.31/6.29 tff(21171,plain,
% 8.31/6.29 ((v117(constB159) | v122(constB159)) | (~v117(constB159))),
% 8.31/6.29 inference(tautology,[status(thm)],[])).
% 8.31/6.29 tff(21172,plain,
% 8.31/6.29 (v117(constB159) | v122(constB159)),
% 8.31/6.29 inference(unit_resolution,[status(thm)],[21171, 21170])).
% 8.31/6.29 tff(21173,plain,
% 8.31/6.29 ((~(v116(constB159) <=> (v117(constB159) | v122(constB159)))) | v116(constB159) | (~(v117(constB159) | v122(constB159)))),
% 8.31/6.29 inference(tautology,[status(thm)],[])).
% 8.31/6.29 tff(21174,plain,
% 8.31/6.29 (v116(constB159)),
% 8.31/6.29 inference(unit_resolution,[status(thm)],[21173, 21172, 21164])).
% 8.31/6.29 tff(21175,plain,
% 8.31/6.29 ((v116(constB159) | v123(constB159)) | (~v116(constB159))),
% 8.31/6.29 inference(tautology,[status(thm)],[])).
% 8.31/6.29 tff(21176,plain,
% 8.31/6.29 (v116(constB159) | v123(constB159)),
% 8.31/6.29 inference(unit_resolution,[status(thm)],[21175, 21174])).
% 8.31/6.29 tff(21177,plain,
% 8.31/6.29 ((~(v115(constB159) <=> (v116(constB159) | v123(constB159)))) | v115(constB159) | (~(v116(constB159) | v123(constB159)))),
% 8.31/6.29 inference(tautology,[status(thm)],[])).
% 8.31/6.29 tff(21178,plain,
% 8.31/6.29 (v115(constB159)),
% 8.31/6.29 inference(unit_resolution,[status(thm)],[21177, 21176, 21162])).
% 8.31/6.29 tff(21179,plain,
% 8.31/6.29 ((v115(constB159) | v124(constB159)) | (~v115(constB159))),
% 8.31/6.29 inference(tautology,[status(thm)],[])).
% 8.31/6.29 tff(21180,plain,
% 8.31/6.29 (v115(constB159) | v124(constB159)),
% 8.31/6.29 inference(unit_resolution,[status(thm)],[21179, 21178])).
% 8.31/6.29 tff(21181,plain,
% 8.31/6.29 ((~(v114(constB159) <=> (v115(constB159) | v124(constB159)))) | v114(constB159) | (~(v115(constB159) | v124(constB159)))),
% 8.31/6.29 inference(tautology,[status(thm)],[])).
% 8.31/6.29 tff(21182,plain,
% 8.31/6.29 (v114(constB159)),
% 8.31/6.29 inference(unit_resolution,[status(thm)],[21181, 21180, 21160])).
% 8.31/6.29 tff(21183,plain,
% 8.31/6.29 ((v114(constB159) | v125(constB159)) | (~v114(constB159))),
% 8.31/6.29 inference(tautology,[status(thm)],[])).
% 8.31/6.29 tff(21184,plain,
% 8.31/6.29 (v114(constB159) | v125(constB159)),
% 8.31/6.29 inference(unit_resolution,[status(thm)],[21183, 21182])).
% 8.31/6.29 tff(21185,plain,
% 8.31/6.29 ((~(v113(constB159) <=> (v114(constB159) | v125(constB159)))) | v113(constB159) | (~(v114(constB159) | v125(constB159)))),
% 8.31/6.29 inference(tautology,[status(thm)],[])).
% 8.31/6.29 tff(21186,plain,
% 8.31/6.29 (v113(constB159)),
% 8.31/6.29 inference(unit_resolution,[status(thm)],[21185, 21184, 21158])).
% 8.31/6.29 tff(21187,plain,
% 8.31/6.29 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB159)) <=> v111(constB159))),
% 8.31/6.29 inference(quant_inst,[status(thm)],[])).
% 8.31/6.29 tff(21188,plain,
% 8.31/6.29 ((~v126(constB159)) <=> v111(constB159)),
% 8.31/6.29 inference(unit_resolution,[status(thm)],[21187, 3396])).
% 8.31/6.29 tff(21189,plain,
% 8.31/6.29 ((~((~v126(constB159)) <=> v111(constB159))) | v126(constB159) | v111(constB159)),
% 8.31/6.29 inference(tautology,[status(thm)],[])).
% 8.31/6.29 tff(21190,plain,
% 8.31/6.29 ((~((~v126(constB159)) <=> v111(constB159))) | v126(constB159)),
% 8.31/6.29 inference(unit_resolution,[status(thm)],[21189, 16142])).
% 8.31/6.29 tff(21191,plain,
% 8.31/6.29 (v126(constB159)),
% 8.31/6.29 inference(unit_resolution,[status(thm)],[21190, 21188])).
% 8.31/6.29 tff(21192,plain,
% 8.31/6.29 ((~((~v113(constB159)) | (~v126(constB159)))) | (~v113(constB159)) | (~v126(constB159))),
% 8.31/6.29 inference(tautology,[status(thm)],[])).
% 8.31/6.29 tff(21193,plain,
% 8.31/6.29 ((~((~v113(constB159)) | (~v126(constB159)))) | (~v113(constB159))),
% 8.31/6.29 inference(unit_resolution,[status(thm)],[21192, 21191])).
% 8.31/6.29 tff(21194,plain,
% 8.31/6.29 (~((~v113(constB159)) | (~v126(constB159)))),
% 8.31/6.29 inference(unit_resolution,[status(thm)],[21193, 21186])).
% 8.31/6.29 tff(21195,plain,
% 8.31/6.29 ((~(v112(constB159) <=> (~((~v113(constB159)) | (~v126(constB159)))))) | v112(constB159) | ((~v113(constB159)) | (~v126(constB159)))),
% 8.31/6.29 inference(tautology,[status(thm)],[])).
% 8.31/6.29 tff(21196,plain,
% 8.31/6.29 (v112(constB159)),
% 8.31/6.29 inference(unit_resolution,[status(thm)],[21195, 21194, 21156])).
% 8.31/6.29 tff(21197,plain,
% 8.31/6.29 ((v111(constB159) | v112(constB159)) | (~v112(constB159))),
% 8.31/6.29 inference(tautology,[status(thm)],[])).
% 8.31/6.29 tff(21198,plain,
% 8.31/6.29 (v111(constB159) | v112(constB159)),
% 8.31/6.29 inference(unit_resolution,[status(thm)],[21197, 21196])).
% 8.31/6.29 tff(21199,plain,
% 8.31/6.29 ((~(v108(constB159) <=> (v111(constB159) | v112(constB159)))) | v108(constB159) | (~(v111(constB159) | v112(constB159)))),
% 8.31/6.29 inference(tautology,[status(thm)],[])).
% 8.31/6.29 tff(21200,plain,
% 8.31/6.29 (v108(constB159)),
% 8.31/6.29 inference(unit_resolution,[status(thm)],[21199, 21198, 21154])).
% 8.31/6.29 tff(21201,plain,
% 8.31/6.29 ((~(v110(constB160) <=> v108(constB159))) | v110(constB160) | (~v108(constB159))),
% 8.31/6.29 inference(tautology,[status(thm)],[])).
% 8.31/6.29 tff(21202,plain,
% 8.31/6.29 (v110(constB160)),
% 8.31/6.29 inference(unit_resolution,[status(thm)],[21201, 21200, 21152])).
% 8.31/6.29 tff(21203,plain,
% 8.31/6.29 ((~((~v101(constB160)) | (~v110(constB160)))) | (~v101(constB160)) | (~v110(constB160))),
% 8.31/6.29 inference(tautology,[status(thm)],[])).
% 8.31/6.29 tff(21204,plain,
% 8.31/6.29 (~((~v101(constB160)) | (~v110(constB160)))),
% 8.31/6.29 inference(unit_resolution,[status(thm)],[21203, 21202, 21148])).
% 8.31/6.29 tff(21205,plain,
% 8.31/6.29 ((~(v100(constB160) <=> (~((~v101(constB160)) | (~v110(constB160)))))) | v100(constB160) | ((~v101(constB160)) | (~v110(constB160)))),
% 8.31/6.29 inference(tautology,[status(thm)],[])).
% 8.31/6.29 tff(21206,plain,
% 8.31/6.29 (v100(constB160)),
% 8.31/6.29 inference(unit_resolution,[status(thm)],[21205, 21204, 21120])).
% 8.31/6.29 tff(21207,plain,
% 8.31/6.29 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB160)) | (~(((~v90(constB160, bitIndex2)) <=> v129(constB160, bitIndex2)) | ((~v90(constB160, bitIndex1)) <=> v129(constB160, bitIndex1)) | ((~v90(constB160, bitIndex0)) <=> v129(constB160, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB160)) | (~(((~v90(constB160, bitIndex2)) <=> v129(constB160, bitIndex2)) | ((~v90(constB160, bitIndex1)) <=> v129(constB160, bitIndex1)) | ((~v90(constB160, bitIndex0)) <=> v129(constB160, bitIndex0)))))),
% 8.31/6.29 inference(rewrite,[status(thm)],[])).
% 8.31/6.29 tff(21208,plain,
% 8.31/6.29 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB160)) | (~(((~v90(constB160, bitIndex2)) <=> v129(constB160, bitIndex2)) | ((~v90(constB160, bitIndex1)) <=> v129(constB160, bitIndex1)) | ((~v90(constB160, bitIndex0)) <=> v129(constB160, bitIndex0)))))),
% 8.31/6.29 inference(quant_inst,[status(thm)],[])).
% 8.31/6.29 tff(21209,plain,
% 8.31/6.29 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB160)) | (~(((~v90(constB160, bitIndex2)) <=> v129(constB160, bitIndex2)) | ((~v90(constB160, bitIndex1)) <=> v129(constB160, bitIndex1)) | ((~v90(constB160, bitIndex0)) <=> v129(constB160, bitIndex0))))),
% 8.31/6.29 inference(modus_ponens,[status(thm)],[21208, 21207])).
% 8.31/6.29 tff(21210,plain,
% 8.31/6.29 ((~v100(constB160)) | (~(((~v90(constB160, bitIndex2)) <=> v129(constB160, bitIndex2)) | ((~v90(constB160, bitIndex1)) <=> v129(constB160, bitIndex1)) | ((~v90(constB160, bitIndex0)) <=> v129(constB160, bitIndex0))))),
% 8.31/6.29 inference(unit_resolution,[status(thm)],[21209, 3429])).
% 8.31/6.29 tff(21211,plain,
% 8.31/6.29 (~(((~v90(constB160, bitIndex2)) <=> v129(constB160, bitIndex2)) | ((~v90(constB160, bitIndex1)) <=> v129(constB160, bitIndex1)) | ((~v90(constB160, bitIndex0)) <=> v129(constB160, bitIndex0)))),
% 8.31/6.29 inference(unit_resolution,[status(thm)],[21210, 21206])).
% 8.31/6.29 tff(21212,plain,
% 8.31/6.29 ((((~v90(constB160, bitIndex2)) <=> v129(constB160, bitIndex2)) | ((~v90(constB160, bitIndex1)) <=> v129(constB160, bitIndex1)) | ((~v90(constB160, bitIndex0)) <=> v129(constB160, bitIndex0))) | (~((~v90(constB160, bitIndex2)) <=> v129(constB160, bitIndex2)))),
% 8.31/6.29 inference(tautology,[status(thm)],[])).
% 8.31/6.29 tff(21213,plain,
% 8.31/6.29 (~((~v90(constB160, bitIndex2)) <=> v129(constB160, bitIndex2))),
% 8.31/6.29 inference(unit_resolution,[status(thm)],[21212, 21211])).
% 8.31/6.29 tff(21214,plain,
% 8.31/6.29 (((~v90(constB160, bitIndex2)) <=> v129(constB160, bitIndex2)) | (~v90(constB160, bitIndex2)) | v129(constB160, bitIndex2)),
% 8.31/6.29 inference(tautology,[status(thm)],[])).
% 8.31/6.29 tff(21215,plain,
% 8.31/6.29 (~v90(constB160, bitIndex2)),
% 8.31/6.29 inference(unit_resolution,[status(thm)],[21214, 21213, 21116])).
% 8.31/6.29 tff(21216,plain,
% 8.31/6.29 (((~v90(constB161, bitIndex2)) <=> v90(constB160, bitIndex2)) | (~v90(constB161, bitIndex2)) | v90(constB160, bitIndex2)),
% 8.31/6.29 inference(tautology,[status(thm)],[])).
% 8.31/6.29 tff(21217,plain,
% 8.31/6.29 (~v90(constB161, bitIndex2)),
% 8.31/6.29 inference(unit_resolution,[status(thm)],[21216, 21215, 16126])).
% 8.31/6.29 tff(21218,plain,
% 8.31/6.29 ((((~v90(constB161, bitIndex1)) <=> v90(constB160, bitIndex1)) | ((~v90(constB161, bitIndex2)) <=> v90(constB160, bitIndex2)) | ((~v90(constB161, bitIndex0)) <=> v90(constB160, bitIndex0))) | (~((~v90(constB161, bitIndex0)) <=> v90(constB160, bitIndex0)))),
% 8.31/6.29 inference(tautology,[status(thm)],[])).
% 8.31/6.29 tff(21219,plain,
% 8.31/6.29 (~((~v90(constB161, bitIndex0)) <=> v90(constB160, bitIndex0))),
% 8.31/6.29 inference(unit_resolution,[status(thm)],[21218, 16124])).
% 8.31/6.29 tff(21220,plain,
% 8.31/6.29 ((((~v129(constB160, bitIndex2)) <=> v127(constB159, bitIndex2)) | ((~v129(constB160, bitIndex1)) <=> v127(constB159, bitIndex1)) | ((~v129(constB160, bitIndex0)) <=> v127(constB159, bitIndex0))) | (~((~v129(constB160, bitIndex0)) <=> v127(constB159, bitIndex0)))),
% 8.31/6.29 inference(tautology,[status(thm)],[])).
% 8.31/6.29 tff(21221,plain,
% 8.31/6.29 (~((~v129(constB160, bitIndex0)) <=> v127(constB159, bitIndex0))),
% 8.31/6.29 inference(unit_resolution,[status(thm)],[21220, 16133])).
% 8.31/6.29 tff(21222,plain,
% 8.31/6.29 ((((~v127(constB159, bitIndex2)) <=> v130(constB159, bitIndex2)) | ((~v127(constB159, bitIndex1)) <=> v130(constB159, bitIndex1)) | ((~v127(constB159, bitIndex0)) <=> v130(constB159, bitIndex0))) | (~((~v127(constB159, bitIndex0)) <=> v130(constB159, bitIndex0)))),
% 8.31/6.29 inference(tautology,[status(thm)],[])).
% 8.31/6.29 tff(21223,plain,
% 8.31/6.29 (~((~v127(constB159, bitIndex0)) <=> v130(constB159, bitIndex0))),
% 8.31/6.29 inference(unit_resolution,[status(thm)],[21222, 16147])).
% 8.31/6.29 tff(21224,plain,
% 8.31/6.29 ((v130(constB159, bitIndex2) | (~v130(constB159, bitIndex1)) | (~v130(constB159, bitIndex0))) | v130(constB159, bitIndex0)),
% 8.31/6.29 inference(tautology,[status(thm)],[])).
% 8.31/6.29 tff(21225,plain,
% 8.31/6.29 (v130(constB159, bitIndex0)),
% 8.31/6.29 inference(unit_resolution,[status(thm)],[21224, 21110])).
% 8.31/6.29 tff(21226,plain,
% 8.31/6.29 (((~v127(constB159, bitIndex0)) <=> v130(constB159, bitIndex0)) | v127(constB159, bitIndex0) | (~v130(constB159, bitIndex0))),
% 8.31/6.29 inference(tautology,[status(thm)],[])).
% 8.31/6.29 tff(21227,plain,
% 8.31/6.29 (v127(constB159, bitIndex0)),
% 8.31/6.29 inference(unit_resolution,[status(thm)],[21226, 21225, 21223])).
% 8.31/6.29 tff(21228,plain,
% 8.31/6.29 (((~v129(constB160, bitIndex0)) <=> v127(constB159, bitIndex0)) | v129(constB160, bitIndex0) | (~v127(constB159, bitIndex0))),
% 8.31/6.29 inference(tautology,[status(thm)],[])).
% 8.31/6.29 tff(21229,plain,
% 8.31/6.29 (v129(constB160, bitIndex0)),
% 8.31/6.29 inference(unit_resolution,[status(thm)],[21228, 21227, 21221])).
% 8.31/6.29 tff(21230,plain,
% 8.31/6.29 ((((~v90(constB160, bitIndex2)) <=> v129(constB160, bitIndex2)) | ((~v90(constB160, bitIndex1)) <=> v129(constB160, bitIndex1)) | ((~v90(constB160, bitIndex0)) <=> v129(constB160, bitIndex0))) | (~((~v90(constB160, bitIndex0)) <=> v129(constB160, bitIndex0)))),
% 8.31/6.29 inference(tautology,[status(thm)],[])).
% 8.31/6.29 tff(21231,plain,
% 8.31/6.29 (~((~v90(constB160, bitIndex0)) <=> v129(constB160, bitIndex0))),
% 8.31/6.29 inference(unit_resolution,[status(thm)],[21230, 21211])).
% 8.31/6.29 tff(21232,plain,
% 8.31/6.29 (((~v90(constB160, bitIndex0)) <=> v129(constB160, bitIndex0)) | v90(constB160, bitIndex0) | (~v129(constB160, bitIndex0))),
% 8.31/6.29 inference(tautology,[status(thm)],[])).
% 8.31/6.29 tff(21233,plain,
% 8.31/6.29 (v90(constB160, bitIndex0)),
% 8.31/6.29 inference(unit_resolution,[status(thm)],[21232, 21231, 21229])).
% 8.31/6.29 tff(21234,plain,
% 8.31/6.29 (((~v90(constB161, bitIndex0)) <=> v90(constB160, bitIndex0)) | v90(constB161, bitIndex0) | (~v90(constB160, bitIndex0))),
% 8.31/6.29 inference(tautology,[status(thm)],[])).
% 8.31/6.29 tff(21235,plain,
% 8.31/6.29 (v90(constB161, bitIndex0)),
% 8.31/6.29 inference(unit_resolution,[status(thm)],[21234, 21233, 21219])).
% 8.31/6.29 tff(21236,plain,
% 8.31/6.29 ((((~v90(constB161, bitIndex1)) <=> v90(constB160, bitIndex1)) | ((~v90(constB161, bitIndex2)) <=> v90(constB160, bitIndex2)) | ((~v90(constB161, bitIndex0)) <=> v90(constB160, bitIndex0))) | (~((~v90(constB161, bitIndex1)) <=> v90(constB160, bitIndex1)))),
% 8.31/6.29 inference(tautology,[status(thm)],[])).
% 8.31/6.29 tff(21237,plain,
% 8.31/6.29 (~((~v90(constB161, bitIndex1)) <=> v90(constB160, bitIndex1))),
% 8.31/6.29 inference(unit_resolution,[status(thm)],[21236, 16124])).
% 8.31/6.29 tff(21238,plain,
% 8.31/6.29 ((((~v129(constB160, bitIndex2)) <=> v127(constB159, bitIndex2)) | ((~v129(constB160, bitIndex1)) <=> v127(constB159, bitIndex1)) | ((~v129(constB160, bitIndex0)) <=> v127(constB159, bitIndex0))) | (~((~v129(constB160, bitIndex1)) <=> v127(constB159, bitIndex1)))),
% 8.31/6.29 inference(tautology,[status(thm)],[])).
% 8.31/6.29 tff(21239,plain,
% 8.31/6.29 (~((~v129(constB160, bitIndex1)) <=> v127(constB159, bitIndex1))),
% 8.31/6.29 inference(unit_resolution,[status(thm)],[21238, 16133])).
% 8.31/6.29 tff(21240,plain,
% 8.31/6.29 ((((~v127(constB159, bitIndex2)) <=> v130(constB159, bitIndex2)) | ((~v127(constB159, bitIndex1)) <=> v130(constB159, bitIndex1)) | ((~v127(constB159, bitIndex0)) <=> v130(constB159, bitIndex0))) | (~((~v127(constB159, bitIndex1)) <=> v130(constB159, bitIndex1)))),
% 8.31/6.29 inference(tautology,[status(thm)],[])).
% 8.31/6.29 tff(21241,plain,
% 8.31/6.29 (~((~v127(constB159, bitIndex1)) <=> v130(constB159, bitIndex1))),
% 8.31/6.29 inference(unit_resolution,[status(thm)],[21240, 16147])).
% 8.31/6.29 tff(21242,plain,
% 8.31/6.29 ((v130(constB159, bitIndex2) | (~v130(constB159, bitIndex1)) | (~v130(constB159, bitIndex0))) | v130(constB159, bitIndex1)),
% 8.31/6.29 inference(tautology,[status(thm)],[])).
% 8.31/6.29 tff(21243,plain,
% 8.31/6.29 (v130(constB159, bitIndex1)),
% 8.31/6.29 inference(unit_resolution,[status(thm)],[21242, 21110])).
% 8.31/6.29 tff(21244,plain,
% 8.31/6.29 (((~v127(constB159, bitIndex1)) <=> v130(constB159, bitIndex1)) | v127(constB159, bitIndex1) | (~v130(constB159, bitIndex1))),
% 8.31/6.29 inference(tautology,[status(thm)],[])).
% 8.31/6.29 tff(21245,plain,
% 8.31/6.29 (v127(constB159, bitIndex1)),
% 8.31/6.29 inference(unit_resolution,[status(thm)],[21244, 21243, 21241])).
% 8.31/6.29 tff(21246,plain,
% 8.31/6.29 (((~v129(constB160, bitIndex1)) <=> v127(constB159, bitIndex1)) | v129(constB160, bitIndex1) | (~v127(constB159, bitIndex1))),
% 8.31/6.29 inference(tautology,[status(thm)],[])).
% 8.31/6.29 tff(21247,plain,
% 8.31/6.29 (v129(constB160, bitIndex1)),
% 8.31/6.29 inference(unit_resolution,[status(thm)],[21246, 21245, 21239])).
% 8.31/6.29 tff(21248,plain,
% 8.31/6.29 ((((~v90(constB160, bitIndex2)) <=> v129(constB160, bitIndex2)) | ((~v90(constB160, bitIndex1)) <=> v129(constB160, bitIndex1)) | ((~v90(constB160, bitIndex0)) <=> v129(constB160, bitIndex0))) | (~((~v90(constB160, bitIndex1)) <=> v129(constB160, bitIndex1)))),
% 8.31/6.29 inference(tautology,[status(thm)],[])).
% 8.31/6.29 tff(21249,plain,
% 8.31/6.29 (~((~v90(constB160, bitIndex1)) <=> v129(constB160, bitIndex1))),
% 8.31/6.29 inference(unit_resolution,[status(thm)],[21248, 21211])).
% 8.31/6.29 tff(21250,plain,
% 8.31/6.29 (((~v90(constB160, bitIndex1)) <=> v129(constB160, bitIndex1)) | v90(constB160, bitIndex1) | (~v129(constB160, bitIndex1))),
% 8.31/6.29 inference(tautology,[status(thm)],[])).
% 8.31/6.29 tff(21251,plain,
% 8.31/6.29 (v90(constB160, bitIndex1)),
% 8.31/6.29 inference(unit_resolution,[status(thm)],[21250, 21249, 21247])).
% 8.31/6.29 tff(21252,plain,
% 8.31/6.29 (((~v90(constB161, bitIndex1)) <=> v90(constB160, bitIndex1)) | v90(constB161, bitIndex1) | (~v90(constB160, bitIndex1))),
% 8.31/6.29 inference(tautology,[status(thm)],[])).
% 8.31/6.29 tff(21253,plain,
% 8.31/6.29 (v90(constB161, bitIndex1)),
% 8.31/6.29 inference(unit_resolution,[status(thm)],[21252, 21251, 21237])).
% 8.31/6.29 tff(21254,plain,
% 8.31/6.29 ((~(v90(constB161, bitIndex2) | (~v90(constB161, bitIndex1)) | (~v90(constB161, bitIndex0)))) | v90(constB161, bitIndex2) | (~v90(constB161, bitIndex1)) | (~v90(constB161, bitIndex0))),
% 8.31/6.29 inference(tautology,[status(thm)],[])).
% 8.31/6.29 tff(21255,plain,
% 8.31/6.29 (~(v90(constB161, bitIndex2) | (~v90(constB161, bitIndex1)) | (~v90(constB161, bitIndex0)))),
% 8.31/6.29 inference(unit_resolution,[status(thm)],[21254, 21253, 21235, 21217])).
% 8.31/6.29 tff(21256,plain,
% 8.31/6.29 ((~(v122(constB161) <=> (~(v90(constB161, bitIndex2) | (~v90(constB161, bitIndex1)) | (~v90(constB161, bitIndex0)))))) | v122(constB161) | (v90(constB161, bitIndex2) | (~v90(constB161, bitIndex1)) | (~v90(constB161, bitIndex0)))),
% 8.31/6.29 inference(tautology,[status(thm)],[])).
% 8.31/6.29 tff(21257,plain,
% 8.31/6.29 (v122(constB161)),
% 8.31/6.29 inference(unit_resolution,[status(thm)],[21256, 21255, 16090])).
% 8.31/6.29 tff(21258,plain,
% 8.31/6.29 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB161)) | (~(v130(constB161, bitIndex1) | v130(constB161, bitIndex0) | (~v130(constB161, bitIndex2)))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | (~v122(constB161)) | (~(v130(constB161, bitIndex1) | v130(constB161, bitIndex0) | (~v130(constB161, bitIndex2)))))),
% 8.31/6.29 inference(rewrite,[status(thm)],[])).
% 8.31/6.29 tff(21259,plain,
% 8.31/6.29 (((~v122(constB161)) | (~(v130(constB161, bitIndex0) | v130(constB161, bitIndex1) | (~v130(constB161, bitIndex2))))) <=> ((~v122(constB161)) | (~(v130(constB161, bitIndex1) | v130(constB161, bitIndex0) | (~v130(constB161, bitIndex2)))))),
% 8.31/6.29 inference(rewrite,[status(thm)],[])).
% 8.31/6.29 tff(21260,plain,
% 8.31/6.29 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB161)) | (~(v130(constB161, bitIndex0) | v130(constB161, bitIndex1) | (~v130(constB161, bitIndex2)))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB161)) | (~(v130(constB161, bitIndex1) | v130(constB161, bitIndex0) | (~v130(constB161, bitIndex2))))))),
% 8.31/6.29 inference(monotonicity,[status(thm)],[21259])).
% 8.31/6.29 tff(21261,plain,
% 8.31/6.29 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB161)) | (~(v130(constB161, bitIndex0) | v130(constB161, bitIndex1) | (~v130(constB161, bitIndex2)))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | (~v122(constB161)) | (~(v130(constB161, bitIndex1) | v130(constB161, bitIndex0) | (~v130(constB161, bitIndex2)))))),
% 8.31/6.29 inference(transitivity,[status(thm)],[21260, 21258])).
% 8.31/6.29 tff(21262,plain,
% 8.31/6.29 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB161)) | (~(v130(constB161, bitIndex0) | v130(constB161, bitIndex1) | (~v130(constB161, bitIndex2)))))),
% 8.31/6.29 inference(quant_inst,[status(thm)],[])).
% 8.31/6.29 tff(21263,plain,
% 8.31/6.29 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | (~v122(constB161)) | (~(v130(constB161, bitIndex1) | v130(constB161, bitIndex0) | (~v130(constB161, bitIndex2))))),
% 8.31/6.29 inference(modus_ponens,[status(thm)],[21262, 21261])).
% 8.31/6.29 tff(21264,plain,
% 8.31/6.29 ((~v122(constB161)) | (~(v130(constB161, bitIndex1) | v130(constB161, bitIndex0) | (~v130(constB161, bitIndex2))))),
% 8.31/6.29 inference(unit_resolution,[status(thm)],[21263, 4223])).
% 8.31/6.29 tff(21265,plain,
% 8.31/6.29 (~(v130(constB161, bitIndex1) | v130(constB161, bitIndex0) | (~v130(constB161, bitIndex2)))),
% 8.31/6.29 inference(unit_resolution,[status(thm)],[21264, 21257])).
% 8.31/6.29 tff(21266,plain,
% 8.31/6.29 ((v130(constB161, bitIndex1) | v130(constB161, bitIndex0) | (~v130(constB161, bitIndex2))) | v130(constB161, bitIndex2)),
% 8.31/6.29 inference(tautology,[status(thm)],[])).
% 8.31/6.29 tff(21267,plain,
% 8.31/6.29 (v130(constB161, bitIndex2)),
% 8.31/6.29 inference(unit_resolution,[status(thm)],[21266, 21265])).
% 8.31/6.29 tff(21268,plain,
% 8.31/6.29 (((~v127(constB161, bitIndex2)) <=> v130(constB161, bitIndex2)) | v127(constB161, bitIndex2) | (~v130(constB161, bitIndex2))),
% 8.31/6.29 inference(tautology,[status(thm)],[])).
% 8.31/6.29 tff(21269,plain,
% 8.31/6.29 (v127(constB161, bitIndex2)),
% 8.31/6.29 inference(unit_resolution,[status(thm)],[21268, 21267, 16083])).
% 8.31/6.29 tff(21270,plain,
% 8.31/6.29 (((~v129(constB162, bitIndex2)) <=> v127(constB161, bitIndex2)) | v129(constB162, bitIndex2) | (~v127(constB161, bitIndex2))),
% 8.31/6.29 inference(tautology,[status(thm)],[])).
% 8.31/6.29 tff(21271,plain,
% 8.31/6.29 (v129(constB162, bitIndex2)),
% 8.31/6.29 inference(unit_resolution,[status(thm)],[21270, 21269, 16069])).
% 8.31/6.29 tff(21272,plain,
% 8.31/6.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB161, constB162)) | (v100(constB162) <=> (~((~v101(constB162)) | (~v110(constB162))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB161, constB162)) | (v100(constB162) <=> (~((~v101(constB162)) | (~v110(constB162))))))),
% 8.31/6.29 inference(rewrite,[status(thm)],[])).
% 8.31/6.29 tff(21273,plain,
% 8.31/6.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB161, constB162)) | (v100(constB162) <=> (~((~v101(constB162)) | (~v110(constB162))))))),
% 8.31/6.29 inference(quant_inst,[status(thm)],[])).
% 8.31/6.29 tff(21274,plain,
% 8.31/6.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB161, constB162)) | (v100(constB162) <=> (~((~v101(constB162)) | (~v110(constB162)))))),
% 8.31/6.29 inference(modus_ponens,[status(thm)],[21273, 21272])).
% 8.31/6.29 tff(21275,plain,
% 8.31/6.29 (v100(constB162) <=> (~((~v101(constB162)) | (~v110(constB162))))),
% 8.31/6.29 inference(unit_resolution,[status(thm)],[21274, 16063, 445])).
% 8.31/6.29 tff(21276,plain,
% 8.31/6.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB161, constB162)) | (v101(constB162) <=> (~((~v1(constB162)) | (~v102(constB162))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB161, constB162)) | (v101(constB162) <=> (~((~v1(constB162)) | (~v102(constB162))))))),
% 8.31/6.29 inference(rewrite,[status(thm)],[])).
% 8.31/6.29 tff(21277,plain,
% 8.31/6.29 (((~nextState(constB161, constB162)) | (v101(constB162) <=> (~((~v102(constB162)) | (~v1(constB162)))))) <=> ((~nextState(constB161, constB162)) | (v101(constB162) <=> (~((~v1(constB162)) | (~v102(constB162))))))),
% 8.31/6.29 inference(rewrite,[status(thm)],[])).
% 8.31/6.29 tff(21278,plain,
% 8.31/6.29 (((~![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) <=> (~((~v1(constB162)) | (~v102(constB162)))))))),
% 8.31/6.29 inference(monotonicity,[status(thm)],[21277])).
% 8.31/6.29 tff(21279,plain,
% 8.31/6.29 (((~![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) <=> (~((~v1(constB162)) | (~v102(constB162))))))),
% 8.31/6.29 inference(transitivity,[status(thm)],[21278, 21276])).
% 8.31/6.29 tff(21280,plain,
% 8.31/6.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB161, constB162)) | (v101(constB162) <=> (~((~v102(constB162)) | (~v1(constB162))))))),
% 8.31/6.29 inference(quant_inst,[status(thm)],[])).
% 8.31/6.29 tff(21281,plain,
% 8.31/6.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB161, constB162)) | (v101(constB162) <=> (~((~v1(constB162)) | (~v102(constB162)))))),
% 8.31/6.29 inference(modus_ponens,[status(thm)],[21280, 21279])).
% 8.31/6.29 tff(21282,plain,
% 8.31/6.29 (v101(constB162) <=> (~((~v1(constB162)) | (~v102(constB162))))),
% 8.31/6.29 inference(unit_resolution,[status(thm)],[21281, 16063, 465])).
% 8.31/6.29 tff(21283,plain,
% 8.31/6.29 (((~![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)))),
% 8.31/6.29 inference(rewrite,[status(thm)],[])).
% 8.31/6.29 tff(21284,plain,
% 8.31/6.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB161, constB162)) | ((~v102(constB162)) <=> v104(constB162)))),
% 8.31/6.29 inference(quant_inst,[status(thm)],[])).
% 8.31/6.29 tff(21285,plain,
% 8.31/6.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB161, constB162)) | ((~v102(constB162)) <=> v104(constB162))),
% 8.31/6.29 inference(modus_ponens,[status(thm)],[21284, 21283])).
% 8.31/6.29 tff(21286,plain,
% 8.31/6.29 ((~v102(constB162)) <=> v104(constB162)),
% 8.31/6.29 inference(unit_resolution,[status(thm)],[21285, 16063, 3244])).
% 8.31/6.29 tff(21287,plain,
% 8.31/6.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB161, constB162)) | (v104(constB162) <=> v1(constB161)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB161, constB162)) | (v104(constB162) <=> v1(constB161)))),
% 8.31/6.29 inference(rewrite,[status(thm)],[])).
% 8.31/6.29 tff(21288,plain,
% 8.31/6.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB161, constB162)) | (v104(constB162) <=> v1(constB161)))),
% 8.31/6.29 inference(quant_inst,[status(thm)],[])).
% 8.31/6.29 tff(21289,plain,
% 8.31/6.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB161, constB162)) | (v104(constB162) <=> v1(constB161))),
% 8.31/6.29 inference(modus_ponens,[status(thm)],[21288, 21287])).
% 8.31/6.29 tff(21290,plain,
% 8.31/6.29 (v104(constB162) <=> v1(constB161)),
% 8.31/6.29 inference(unit_resolution,[status(thm)],[21289, 16063, 3258])).
% 8.31/6.30 tff(21291,plain,
% 8.31/6.30 ((~(v104(constB162) <=> v1(constB161))) | (~v104(constB162)) | v1(constB161)),
% 8.31/6.30 inference(tautology,[status(thm)],[])).
% 8.31/6.30 tff(21292,plain,
% 8.31/6.30 ((~(v104(constB162) <=> v1(constB161))) | (~v104(constB162))),
% 8.31/6.30 inference(unit_resolution,[status(thm)],[21291, 16107])).
% 8.31/6.30 tff(21293,plain,
% 8.31/6.30 (~v104(constB162)),
% 8.31/6.30 inference(unit_resolution,[status(thm)],[21292, 21290])).
% 8.31/6.30 tff(21294,plain,
% 8.31/6.30 ((~((~v102(constB162)) <=> v104(constB162))) | v102(constB162) | v104(constB162)),
% 8.31/6.30 inference(tautology,[status(thm)],[])).
% 8.31/6.30 tff(21295,plain,
% 8.31/6.30 (v102(constB162)),
% 8.31/6.30 inference(unit_resolution,[status(thm)],[21294, 21293, 21286])).
% 8.31/6.30 tff(21296,plain,
% 8.31/6.30 (v1(constB162) <=> v1(constB162)),
% 8.31/6.30 inference(rewrite,[status(thm)],[])).
% 8.31/6.30 tff(21297,axiom,(v1(constB162)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_162')).
% 8.31/6.30 tff(21298,plain,
% 8.31/6.30 (v1(constB162)),
% 8.31/6.30 inference(modus_ponens,[status(thm)],[21297, 21296])).
% 8.31/6.30 tff(21299,plain,
% 8.31/6.30 ((~((~v1(constB162)) | (~v102(constB162)))) | (~v1(constB162)) | (~v102(constB162))),
% 8.31/6.30 inference(tautology,[status(thm)],[])).
% 8.31/6.30 tff(21300,plain,
% 8.31/6.30 ((~((~v1(constB162)) | (~v102(constB162)))) | (~v102(constB162))),
% 8.31/6.30 inference(unit_resolution,[status(thm)],[21299, 21298])).
% 8.31/6.30 tff(21301,plain,
% 8.31/6.30 (~((~v1(constB162)) | (~v102(constB162)))),
% 8.31/6.30 inference(unit_resolution,[status(thm)],[21300, 21295])).
% 8.31/6.30 tff(21302,plain,
% 8.31/6.30 ((~(v101(constB162) <=> (~((~v1(constB162)) | (~v102(constB162)))))) | v101(constB162) | ((~v1(constB162)) | (~v102(constB162)))),
% 8.31/6.30 inference(tautology,[status(thm)],[])).
% 8.31/6.30 tff(21303,plain,
% 8.31/6.30 (v101(constB162)),
% 8.31/6.30 inference(unit_resolution,[status(thm)],[21302, 21301, 21282])).
% 8.31/6.30 tff(21304,plain,
% 8.31/6.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB161, constB162)) | (v110(constB162) <=> v108(constB161)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB161, constB162)) | (v110(constB162) <=> v108(constB161)))),
% 8.31/6.30 inference(rewrite,[status(thm)],[])).
% 8.31/6.30 tff(21305,plain,
% 8.31/6.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB161, constB162)) | (v110(constB162) <=> v108(constB161)))),
% 8.31/6.30 inference(quant_inst,[status(thm)],[])).
% 8.31/6.30 tff(21306,plain,
% 8.31/6.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB161, constB162)) | (v110(constB162) <=> v108(constB161))),
% 8.31/6.30 inference(modus_ponens,[status(thm)],[21305, 21304])).
% 8.31/6.30 tff(21307,plain,
% 8.31/6.30 (v110(constB162) <=> v108(constB161)),
% 8.31/6.30 inference(unit_resolution,[status(thm)],[21306, 16063, 3285])).
% 8.31/6.30 tff(21308,plain,
% 8.31/6.30 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB161) <=> (v111(constB161) | v112(constB161)))),
% 8.31/6.30 inference(quant_inst,[status(thm)],[])).
% 8.31/6.30 tff(21309,plain,
% 8.31/6.30 (v108(constB161) <=> (v111(constB161) | v112(constB161))),
% 8.31/6.30 inference(unit_resolution,[status(thm)],[21308, 3296])).
% 8.31/6.30 tff(21310,plain,
% 8.31/6.30 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB161) <=> (~((~v113(constB161)) | (~v126(constB161)))))),
% 8.31/6.30 inference(quant_inst,[status(thm)],[])).
% 8.31/6.30 tff(21311,plain,
% 8.31/6.30 (v112(constB161) <=> (~((~v113(constB161)) | (~v126(constB161))))),
% 8.31/6.30 inference(unit_resolution,[status(thm)],[21310, 3308])).
% 8.31/6.30 tff(21312,plain,
% 8.31/6.30 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB161) <=> (v114(constB161) | v125(constB161)))),
% 8.31/6.30 inference(quant_inst,[status(thm)],[])).
% 8.31/6.30 tff(21313,plain,
% 8.31/6.30 (v113(constB161) <=> (v114(constB161) | v125(constB161))),
% 8.31/6.30 inference(unit_resolution,[status(thm)],[21312, 3317])).
% 8.31/6.30 tff(21314,plain,
% 8.31/6.30 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB161) <=> (v115(constB161) | v124(constB161)))),
% 8.31/6.30 inference(quant_inst,[status(thm)],[])).
% 8.31/6.30 tff(21315,plain,
% 8.31/6.30 (v114(constB161) <=> (v115(constB161) | v124(constB161))),
% 8.31/6.30 inference(unit_resolution,[status(thm)],[21314, 3326])).
% 8.31/6.30 tff(21316,plain,
% 8.31/6.30 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB161) <=> (v116(constB161) | v123(constB161)))),
% 8.31/6.30 inference(quant_inst,[status(thm)],[])).
% 8.31/6.30 tff(21317,plain,
% 8.31/6.30 (v115(constB161) <=> (v116(constB161) | v123(constB161))),
% 8.31/6.30 inference(unit_resolution,[status(thm)],[21316, 3335])).
% 8.31/6.30 tff(21318,plain,
% 8.31/6.30 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB161) <=> (v117(constB161) | v122(constB161)))),
% 8.31/6.30 inference(quant_inst,[status(thm)],[])).
% 8.31/6.30 tff(21319,plain,
% 8.31/6.30 (v116(constB161) <=> (v117(constB161) | v122(constB161))),
% 8.31/6.30 inference(unit_resolution,[status(thm)],[21318, 3344])).
% 8.31/6.30 tff(21320,plain,
% 8.31/6.30 ((v117(constB161) | v122(constB161)) | (~v122(constB161))),
% 8.31/6.30 inference(tautology,[status(thm)],[])).
% 8.31/6.30 tff(21321,plain,
% 8.31/6.30 (v117(constB161) | v122(constB161)),
% 8.31/6.30 inference(unit_resolution,[status(thm)],[21320, 21257])).
% 8.31/6.30 tff(21322,plain,
% 8.31/6.30 ((~(v116(constB161) <=> (v117(constB161) | v122(constB161)))) | v116(constB161) | (~(v117(constB161) | v122(constB161)))),
% 8.31/6.30 inference(tautology,[status(thm)],[])).
% 8.31/6.30 tff(21323,plain,
% 8.31/6.30 (v116(constB161)),
% 8.31/6.30 inference(unit_resolution,[status(thm)],[21322, 21321, 21319])).
% 8.31/6.30 tff(21324,plain,
% 8.31/6.30 ((v116(constB161) | v123(constB161)) | (~v116(constB161))),
% 8.31/6.30 inference(tautology,[status(thm)],[])).
% 8.31/6.30 tff(21325,plain,
% 8.31/6.30 (v116(constB161) | v123(constB161)),
% 8.31/6.30 inference(unit_resolution,[status(thm)],[21324, 21323])).
% 8.31/6.30 tff(21326,plain,
% 8.31/6.30 ((~(v115(constB161) <=> (v116(constB161) | v123(constB161)))) | v115(constB161) | (~(v116(constB161) | v123(constB161)))),
% 8.31/6.30 inference(tautology,[status(thm)],[])).
% 8.31/6.30 tff(21327,plain,
% 8.31/6.30 (v115(constB161)),
% 8.31/6.30 inference(unit_resolution,[status(thm)],[21326, 21325, 21317])).
% 8.31/6.30 tff(21328,plain,
% 8.31/6.30 ((v115(constB161) | v124(constB161)) | (~v115(constB161))),
% 8.31/6.30 inference(tautology,[status(thm)],[])).
% 8.31/6.30 tff(21329,plain,
% 8.31/6.30 (v115(constB161) | v124(constB161)),
% 8.31/6.30 inference(unit_resolution,[status(thm)],[21328, 21327])).
% 8.31/6.30 tff(21330,plain,
% 8.31/6.30 ((~(v114(constB161) <=> (v115(constB161) | v124(constB161)))) | v114(constB161) | (~(v115(constB161) | v124(constB161)))),
% 8.31/6.30 inference(tautology,[status(thm)],[])).
% 8.31/6.30 tff(21331,plain,
% 8.31/6.30 (v114(constB161)),
% 8.31/6.30 inference(unit_resolution,[status(thm)],[21330, 21329, 21315])).
% 8.31/6.30 tff(21332,plain,
% 8.31/6.30 ((v114(constB161) | v125(constB161)) | (~v114(constB161))),
% 8.31/6.30 inference(tautology,[status(thm)],[])).
% 8.31/6.30 tff(21333,plain,
% 8.31/6.30 (v114(constB161) | v125(constB161)),
% 8.31/6.30 inference(unit_resolution,[status(thm)],[21332, 21331])).
% 8.31/6.30 tff(21334,plain,
% 8.31/6.30 ((~(v113(constB161) <=> (v114(constB161) | v125(constB161)))) | v113(constB161) | (~(v114(constB161) | v125(constB161)))),
% 8.31/6.30 inference(tautology,[status(thm)],[])).
% 8.31/6.30 tff(21335,plain,
% 8.31/6.30 (v113(constB161)),
% 8.31/6.30 inference(unit_resolution,[status(thm)],[21334, 21333, 21313])).
% 8.31/6.30 tff(21336,plain,
% 8.31/6.30 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB161)) <=> v111(constB161))),
% 8.31/6.30 inference(quant_inst,[status(thm)],[])).
% 8.31/6.30 tff(21337,plain,
% 8.31/6.30 ((~v126(constB161)) <=> v111(constB161)),
% 8.31/6.30 inference(unit_resolution,[status(thm)],[21336, 3396])).
% 8.31/6.30 tff(21338,plain,
% 8.31/6.30 ((~((~v126(constB161)) <=> v111(constB161))) | v126(constB161) | v111(constB161)),
% 8.31/6.30 inference(tautology,[status(thm)],[])).
% 8.31/6.30 tff(21339,plain,
% 8.31/6.30 ((~((~v126(constB161)) <=> v111(constB161))) | v126(constB161)),
% 8.31/6.30 inference(unit_resolution,[status(thm)],[21338, 16076])).
% 8.31/6.30 tff(21340,plain,
% 8.31/6.30 (v126(constB161)),
% 8.31/6.30 inference(unit_resolution,[status(thm)],[21339, 21337])).
% 8.31/6.30 tff(21341,plain,
% 8.31/6.30 ((~((~v113(constB161)) | (~v126(constB161)))) | (~v113(constB161)) | (~v126(constB161))),
% 8.31/6.30 inference(tautology,[status(thm)],[])).
% 8.31/6.30 tff(21342,plain,
% 8.31/6.30 ((~((~v113(constB161)) | (~v126(constB161)))) | (~v113(constB161))),
% 8.31/6.30 inference(unit_resolution,[status(thm)],[21341, 21340])).
% 8.31/6.30 tff(21343,plain,
% 8.31/6.30 (~((~v113(constB161)) | (~v126(constB161)))),
% 8.31/6.30 inference(unit_resolution,[status(thm)],[21342, 21335])).
% 8.31/6.30 tff(21344,plain,
% 8.31/6.30 ((~(v112(constB161) <=> (~((~v113(constB161)) | (~v126(constB161)))))) | v112(constB161) | ((~v113(constB161)) | (~v126(constB161)))),
% 8.31/6.30 inference(tautology,[status(thm)],[])).
% 8.31/6.30 tff(21345,plain,
% 8.31/6.30 (v112(constB161)),
% 8.31/6.30 inference(unit_resolution,[status(thm)],[21344, 21343, 21311])).
% 8.31/6.30 tff(21346,plain,
% 8.31/6.30 ((v111(constB161) | v112(constB161)) | (~v112(constB161))),
% 8.31/6.30 inference(tautology,[status(thm)],[])).
% 8.31/6.30 tff(21347,plain,
% 8.31/6.30 (v111(constB161) | v112(constB161)),
% 8.31/6.30 inference(unit_resolution,[status(thm)],[21346, 21345])).
% 8.31/6.30 tff(21348,plain,
% 8.31/6.30 ((~(v108(constB161) <=> (v111(constB161) | v112(constB161)))) | v108(constB161) | (~(v111(constB161) | v112(constB161)))),
% 8.31/6.30 inference(tautology,[status(thm)],[])).
% 8.31/6.30 tff(21349,plain,
% 8.31/6.30 (v108(constB161)),
% 8.31/6.30 inference(unit_resolution,[status(thm)],[21348, 21347, 21309])).
% 8.31/6.30 tff(21350,plain,
% 8.31/6.30 ((~(v110(constB162) <=> v108(constB161))) | v110(constB162) | (~v108(constB161))),
% 8.31/6.30 inference(tautology,[status(thm)],[])).
% 8.31/6.30 tff(21351,plain,
% 8.31/6.30 (v110(constB162)),
% 8.31/6.30 inference(unit_resolution,[status(thm)],[21350, 21349, 21307])).
% 8.31/6.30 tff(21352,plain,
% 8.31/6.30 ((~((~v101(constB162)) | (~v110(constB162)))) | (~v101(constB162)) | (~v110(constB162))),
% 8.31/6.30 inference(tautology,[status(thm)],[])).
% 8.31/6.30 tff(21353,plain,
% 8.31/6.30 (~((~v101(constB162)) | (~v110(constB162)))),
% 8.31/6.30 inference(unit_resolution,[status(thm)],[21352, 21351, 21303])).
% 8.31/6.30 tff(21354,plain,
% 8.31/6.30 ((~(v100(constB162) <=> (~((~v101(constB162)) | (~v110(constB162)))))) | v100(constB162) | ((~v101(constB162)) | (~v110(constB162)))),
% 8.31/6.30 inference(tautology,[status(thm)],[])).
% 8.31/6.30 tff(21355,plain,
% 8.31/6.30 (v100(constB162)),
% 8.31/6.30 inference(unit_resolution,[status(thm)],[21354, 21353, 21275])).
% 8.31/6.30 tff(21356,plain,
% 8.31/6.30 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB162)) | (~(((~v90(constB162, bitIndex0)) <=> v129(constB162, bitIndex0)) | ((~v90(constB162, bitIndex2)) <=> v129(constB162, bitIndex2)) | ((~v90(constB162, bitIndex1)) <=> v129(constB162, bitIndex1)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB162)) | (~(((~v90(constB162, bitIndex0)) <=> v129(constB162, bitIndex0)) | ((~v90(constB162, bitIndex2)) <=> v129(constB162, bitIndex2)) | ((~v90(constB162, bitIndex1)) <=> v129(constB162, bitIndex1)))))),
% 8.31/6.30 inference(rewrite,[status(thm)],[])).
% 8.31/6.30 tff(21357,plain,
% 8.31/6.30 (((~v100(constB162)) | (~(((~v90(constB162, bitIndex2)) <=> v129(constB162, bitIndex2)) | ((~v90(constB162, bitIndex1)) <=> v129(constB162, bitIndex1)) | ((~v90(constB162, bitIndex0)) <=> v129(constB162, bitIndex0))))) <=> ((~v100(constB162)) | (~(((~v90(constB162, bitIndex0)) <=> v129(constB162, bitIndex0)) | ((~v90(constB162, bitIndex2)) <=> v129(constB162, bitIndex2)) | ((~v90(constB162, bitIndex1)) <=> v129(constB162, bitIndex1)))))),
% 8.31/6.30 inference(rewrite,[status(thm)],[])).
% 8.31/6.30 tff(21358,plain,
% 8.31/6.30 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB162)) | (~(((~v90(constB162, bitIndex2)) <=> v129(constB162, bitIndex2)) | ((~v90(constB162, bitIndex1)) <=> v129(constB162, bitIndex1)) | ((~v90(constB162, bitIndex0)) <=> v129(constB162, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB162)) | (~(((~v90(constB162, bitIndex0)) <=> v129(constB162, bitIndex0)) | ((~v90(constB162, bitIndex2)) <=> v129(constB162, bitIndex2)) | ((~v90(constB162, bitIndex1)) <=> v129(constB162, bitIndex1))))))),
% 8.31/6.30 inference(monotonicity,[status(thm)],[21357])).
% 8.31/6.30 tff(21359,plain,
% 8.31/6.30 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB162)) | (~(((~v90(constB162, bitIndex2)) <=> v129(constB162, bitIndex2)) | ((~v90(constB162, bitIndex1)) <=> v129(constB162, bitIndex1)) | ((~v90(constB162, bitIndex0)) <=> v129(constB162, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB162)) | (~(((~v90(constB162, bitIndex0)) <=> v129(constB162, bitIndex0)) | ((~v90(constB162, bitIndex2)) <=> v129(constB162, bitIndex2)) | ((~v90(constB162, bitIndex1)) <=> v129(constB162, bitIndex1)))))),
% 8.31/6.30 inference(transitivity,[status(thm)],[21358, 21356])).
% 8.31/6.30 tff(21360,plain,
% 8.31/6.30 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB162)) | (~(((~v90(constB162, bitIndex2)) <=> v129(constB162, bitIndex2)) | ((~v90(constB162, bitIndex1)) <=> v129(constB162, bitIndex1)) | ((~v90(constB162, bitIndex0)) <=> v129(constB162, bitIndex0)))))),
% 8.31/6.30 inference(quant_inst,[status(thm)],[])).
% 8.31/6.30 tff(21361,plain,
% 8.31/6.30 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB162)) | (~(((~v90(constB162, bitIndex0)) <=> v129(constB162, bitIndex0)) | ((~v90(constB162, bitIndex2)) <=> v129(constB162, bitIndex2)) | ((~v90(constB162, bitIndex1)) <=> v129(constB162, bitIndex1))))),
% 8.31/6.30 inference(modus_ponens,[status(thm)],[21360, 21359])).
% 8.31/6.30 tff(21362,plain,
% 8.31/6.30 ((~v100(constB162)) | (~(((~v90(constB162, bitIndex0)) <=> v129(constB162, bitIndex0)) | ((~v90(constB162, bitIndex2)) <=> v129(constB162, bitIndex2)) | ((~v90(constB162, bitIndex1)) <=> v129(constB162, bitIndex1))))),
% 8.31/6.30 inference(unit_resolution,[status(thm)],[21361, 3429])).
% 8.31/6.30 tff(21363,plain,
% 8.31/6.30 (~(((~v90(constB162, bitIndex0)) <=> v129(constB162, bitIndex0)) | ((~v90(constB162, bitIndex2)) <=> v129(constB162, bitIndex2)) | ((~v90(constB162, bitIndex1)) <=> v129(constB162, bitIndex1)))),
% 8.31/6.30 inference(unit_resolution,[status(thm)],[21362, 21355])).
% 8.31/6.30 tff(21364,plain,
% 8.31/6.30 ((((~v90(constB162, bitIndex0)) <=> v129(constB162, bitIndex0)) | ((~v90(constB162, bitIndex2)) <=> v129(constB162, bitIndex2)) | ((~v90(constB162, bitIndex1)) <=> v129(constB162, bitIndex1))) | (~((~v90(constB162, bitIndex2)) <=> v129(constB162, bitIndex2)))),
% 8.31/6.30 inference(tautology,[status(thm)],[])).
% 8.31/6.30 tff(21365,plain,
% 8.31/6.30 (~((~v90(constB162, bitIndex2)) <=> v129(constB162, bitIndex2))),
% 8.31/6.30 inference(unit_resolution,[status(thm)],[21364, 21363])).
% 8.31/6.30 tff(21366,plain,
% 8.31/6.30 (((~v90(constB162, bitIndex2)) <=> v129(constB162, bitIndex2)) | v90(constB162, bitIndex2) | (~v129(constB162, bitIndex2))),
% 8.31/6.30 inference(tautology,[status(thm)],[])).
% 8.31/6.30 tff(21367,plain,
% 8.31/6.30 (v90(constB162, bitIndex2)),
% 8.31/6.30 inference(unit_resolution,[status(thm)],[21366, 21365, 21271])).
% 8.31/6.30 tff(21368,plain,
% 8.31/6.30 (((~v90(constB163, bitIndex2)) <=> v90(constB162, bitIndex2)) | v90(constB163, bitIndex2) | (~v90(constB162, bitIndex2))),
% 8.31/6.30 inference(tautology,[status(thm)],[])).
% 8.31/6.30 tff(21369,plain,
% 8.31/6.30 (v90(constB163, bitIndex2)),
% 8.31/6.30 inference(unit_resolution,[status(thm)],[21368, 21367, 16060])).
% 8.31/6.30 tff(21370,plain,
% 8.31/6.30 ((((~v90(constB163, bitIndex1)) <=> v90(constB162, bitIndex1)) | ((~v90(constB163, bitIndex2)) <=> v90(constB162, bitIndex2)) | ((~v90(constB163, bitIndex0)) <=> v90(constB162, bitIndex0))) | (~((~v90(constB163, bitIndex0)) <=> v90(constB162, bitIndex0)))),
% 8.31/6.30 inference(tautology,[status(thm)],[])).
% 8.31/6.30 tff(21371,plain,
% 8.31/6.30 (~((~v90(constB163, bitIndex0)) <=> v90(constB162, bitIndex0))),
% 8.31/6.30 inference(unit_resolution,[status(thm)],[21370, 16058])).
% 8.31/6.30 tff(21372,plain,
% 8.31/6.30 ((((~v129(constB162, bitIndex2)) <=> v127(constB161, bitIndex2)) | ((~v129(constB162, bitIndex1)) <=> v127(constB161, bitIndex1)) | ((~v129(constB162, bitIndex0)) <=> v127(constB161, bitIndex0))) | (~((~v129(constB162, bitIndex0)) <=> v127(constB161, bitIndex0)))),
% 8.31/6.30 inference(tautology,[status(thm)],[])).
% 8.31/6.30 tff(21373,plain,
% 8.31/6.30 (~((~v129(constB162, bitIndex0)) <=> v127(constB161, bitIndex0))),
% 8.31/6.30 inference(unit_resolution,[status(thm)],[21372, 16067])).
% 8.31/6.30 tff(21374,plain,
% 8.31/6.30 ((((~v127(constB161, bitIndex2)) <=> v130(constB161, bitIndex2)) | ((~v127(constB161, bitIndex1)) <=> v130(constB161, bitIndex1)) | ((~v127(constB161, bitIndex0)) <=> v130(constB161, bitIndex0))) | (~((~v127(constB161, bitIndex0)) <=> v130(constB161, bitIndex0)))),
% 8.31/6.30 inference(tautology,[status(thm)],[])).
% 8.31/6.30 tff(21375,plain,
% 8.31/6.30 (~((~v127(constB161, bitIndex0)) <=> v130(constB161, bitIndex0))),
% 8.31/6.30 inference(unit_resolution,[status(thm)],[21374, 16081])).
% 8.31/6.30 tff(21376,plain,
% 8.31/6.30 ((v130(constB161, bitIndex1) | v130(constB161, bitIndex0) | (~v130(constB161, bitIndex2))) | (~v130(constB161, bitIndex0))),
% 8.31/6.30 inference(tautology,[status(thm)],[])).
% 8.31/6.30 tff(21377,plain,
% 8.31/6.30 (~v130(constB161, bitIndex0)),
% 8.31/6.30 inference(unit_resolution,[status(thm)],[21376, 21265])).
% 8.31/6.30 tff(21378,plain,
% 8.31/6.30 (((~v127(constB161, bitIndex0)) <=> v130(constB161, bitIndex0)) | (~v127(constB161, bitIndex0)) | v130(constB161, bitIndex0)),
% 8.31/6.30 inference(tautology,[status(thm)],[])).
% 8.31/6.30 tff(21379,plain,
% 8.31/6.30 (~v127(constB161, bitIndex0)),
% 8.31/6.30 inference(unit_resolution,[status(thm)],[21378, 21377, 21375])).
% 8.31/6.30 tff(21380,plain,
% 8.31/6.30 (((~v129(constB162, bitIndex0)) <=> v127(constB161, bitIndex0)) | (~v129(constB162, bitIndex0)) | v127(constB161, bitIndex0)),
% 8.31/6.30 inference(tautology,[status(thm)],[])).
% 8.31/6.30 tff(21381,plain,
% 8.31/6.30 (~v129(constB162, bitIndex0)),
% 8.31/6.30 inference(unit_resolution,[status(thm)],[21380, 21379, 21373])).
% 8.31/6.30 tff(21382,plain,
% 8.31/6.30 ((((~v90(constB162, bitIndex0)) <=> v129(constB162, bitIndex0)) | ((~v90(constB162, bitIndex2)) <=> v129(constB162, bitIndex2)) | ((~v90(constB162, bitIndex1)) <=> v129(constB162, bitIndex1))) | (~((~v90(constB162, bitIndex0)) <=> v129(constB162, bitIndex0)))),
% 8.31/6.30 inference(tautology,[status(thm)],[])).
% 8.31/6.30 tff(21383,plain,
% 8.31/6.30 (~((~v90(constB162, bitIndex0)) <=> v129(constB162, bitIndex0))),
% 8.31/6.30 inference(unit_resolution,[status(thm)],[21382, 21363])).
% 8.31/6.30 tff(21384,plain,
% 8.31/6.30 (((~v90(constB162, bitIndex0)) <=> v129(constB162, bitIndex0)) | (~v90(constB162, bitIndex0)) | v129(constB162, bitIndex0)),
% 8.31/6.30 inference(tautology,[status(thm)],[])).
% 8.31/6.30 tff(21385,plain,
% 8.31/6.30 (~v90(constB162, bitIndex0)),
% 8.31/6.30 inference(unit_resolution,[status(thm)],[21384, 21383, 21381])).
% 8.31/6.30 tff(21386,plain,
% 8.31/6.30 (((~v90(constB163, bitIndex0)) <=> v90(constB162, bitIndex0)) | (~v90(constB163, bitIndex0)) | v90(constB162, bitIndex0)),
% 8.31/6.30 inference(tautology,[status(thm)],[])).
% 8.31/6.30 tff(21387,plain,
% 8.31/6.30 (~v90(constB163, bitIndex0)),
% 8.31/6.30 inference(unit_resolution,[status(thm)],[21386, 21385, 21371])).
% 8.31/6.30 tff(21388,plain,
% 8.31/6.30 ((((~v90(constB163, bitIndex1)) <=> v90(constB162, bitIndex1)) | ((~v90(constB163, bitIndex2)) <=> v90(constB162, bitIndex2)) | ((~v90(constB163, bitIndex0)) <=> v90(constB162, bitIndex0))) | (~((~v90(constB163, bitIndex1)) <=> v90(constB162, bitIndex1)))),
% 8.31/6.30 inference(tautology,[status(thm)],[])).
% 8.31/6.30 tff(21389,plain,
% 8.31/6.30 (~((~v90(constB163, bitIndex1)) <=> v90(constB162, bitIndex1))),
% 8.31/6.30 inference(unit_resolution,[status(thm)],[21388, 16058])).
% 8.31/6.30 tff(21390,plain,
% 8.31/6.30 ((((~v129(constB162, bitIndex2)) <=> v127(constB161, bitIndex2)) | ((~v129(constB162, bitIndex1)) <=> v127(constB161, bitIndex1)) | ((~v129(constB162, bitIndex0)) <=> v127(constB161, bitIndex0))) | (~((~v129(constB162, bitIndex1)) <=> v127(constB161, bitIndex1)))),
% 8.31/6.30 inference(tautology,[status(thm)],[])).
% 8.31/6.30 tff(21391,plain,
% 8.31/6.30 (~((~v129(constB162, bitIndex1)) <=> v127(constB161, bitIndex1))),
% 8.31/6.30 inference(unit_resolution,[status(thm)],[21390, 16067])).
% 8.31/6.30 tff(21392,plain,
% 8.31/6.30 ((((~v127(constB161, bitIndex2)) <=> v130(constB161, bitIndex2)) | ((~v127(constB161, bitIndex1)) <=> v130(constB161, bitIndex1)) | ((~v127(constB161, bitIndex0)) <=> v130(constB161, bitIndex0))) | (~((~v127(constB161, bitIndex1)) <=> v130(constB161, bitIndex1)))),
% 8.31/6.30 inference(tautology,[status(thm)],[])).
% 8.31/6.30 tff(21393,plain,
% 8.31/6.30 (~((~v127(constB161, bitIndex1)) <=> v130(constB161, bitIndex1))),
% 8.31/6.30 inference(unit_resolution,[status(thm)],[21392, 16081])).
% 8.31/6.30 tff(21394,plain,
% 8.31/6.30 ((v130(constB161, bitIndex1) | v130(constB161, bitIndex0) | (~v130(constB161, bitIndex2))) | (~v130(constB161, bitIndex1))),
% 8.31/6.30 inference(tautology,[status(thm)],[])).
% 8.31/6.30 tff(21395,plain,
% 8.31/6.30 (~v130(constB161, bitIndex1)),
% 8.31/6.30 inference(unit_resolution,[status(thm)],[21394, 21265])).
% 8.31/6.30 tff(21396,plain,
% 8.31/6.30 (((~v127(constB161, bitIndex1)) <=> v130(constB161, bitIndex1)) | (~v127(constB161, bitIndex1)) | v130(constB161, bitIndex1)),
% 8.31/6.30 inference(tautology,[status(thm)],[])).
% 8.31/6.30 tff(21397,plain,
% 8.31/6.30 (~v127(constB161, bitIndex1)),
% 8.31/6.30 inference(unit_resolution,[status(thm)],[21396, 21395, 21393])).
% 8.31/6.30 tff(21398,plain,
% 8.31/6.30 (((~v129(constB162, bitIndex1)) <=> v127(constB161, bitIndex1)) | (~v129(constB162, bitIndex1)) | v127(constB161, bitIndex1)),
% 8.31/6.30 inference(tautology,[status(thm)],[])).
% 8.31/6.30 tff(21399,plain,
% 8.31/6.30 (~v129(constB162, bitIndex1)),
% 8.31/6.30 inference(unit_resolution,[status(thm)],[21398, 21397, 21391])).
% 8.31/6.30 tff(21400,plain,
% 8.31/6.30 ((((~v90(constB162, bitIndex0)) <=> v129(constB162, bitIndex0)) | ((~v90(constB162, bitIndex2)) <=> v129(constB162, bitIndex2)) | ((~v90(constB162, bitIndex1)) <=> v129(constB162, bitIndex1))) | (~((~v90(constB162, bitIndex1)) <=> v129(constB162, bitIndex1)))),
% 8.31/6.30 inference(tautology,[status(thm)],[])).
% 8.31/6.30 tff(21401,plain,
% 8.31/6.30 (~((~v90(constB162, bitIndex1)) <=> v129(constB162, bitIndex1))),
% 8.31/6.30 inference(unit_resolution,[status(thm)],[21400, 21363])).
% 8.31/6.30 tff(21402,plain,
% 8.31/6.30 (((~v90(constB162, bitIndex1)) <=> v129(constB162, bitIndex1)) | (~v90(constB162, bitIndex1)) | v129(constB162, bitIndex1)),
% 8.31/6.30 inference(tautology,[status(thm)],[])).
% 8.31/6.30 tff(21403,plain,
% 8.31/6.30 (~v90(constB162, bitIndex1)),
% 8.31/6.30 inference(unit_resolution,[status(thm)],[21402, 21401, 21399])).
% 8.31/6.30 tff(21404,plain,
% 8.31/6.30 (((~v90(constB163, bitIndex1)) <=> v90(constB162, bitIndex1)) | (~v90(constB163, bitIndex1)) | v90(constB162, bitIndex1)),
% 8.31/6.30 inference(tautology,[status(thm)],[])).
% 8.31/6.30 tff(21405,plain,
% 8.31/6.30 (~v90(constB163, bitIndex1)),
% 8.31/6.30 inference(unit_resolution,[status(thm)],[21404, 21403, 21389])).
% 8.31/6.30 tff(21406,plain,
% 8.31/6.30 ((~(v90(constB163, bitIndex1) | v90(constB163, bitIndex0) | (~v90(constB163, bitIndex2)))) | v90(constB163, bitIndex1) | v90(constB163, bitIndex0) | (~v90(constB163, bitIndex2))),
% 8.31/6.30 inference(tautology,[status(thm)],[])).
% 8.31/6.30 tff(21407,plain,
% 8.31/6.30 (~(v90(constB163, bitIndex1) | v90(constB163, bitIndex0) | (~v90(constB163, bitIndex2)))),
% 8.31/6.30 inference(unit_resolution,[status(thm)],[21406, 21405, 21387, 21369])).
% 8.31/6.30 tff(21408,plain,
% 8.31/6.30 ((~(v123(constB163) <=> (~(v90(constB163, bitIndex1) | v90(constB163, bitIndex0) | (~v90(constB163, bitIndex2)))))) | v123(constB163) | (v90(constB163, bitIndex1) | v90(constB163, bitIndex0) | (~v90(constB163, bitIndex2)))),
% 8.31/6.30 inference(tautology,[status(thm)],[])).
% 8.31/6.30 tff(21409,plain,
% 8.31/6.30 (v123(constB163)),
% 8.31/6.30 inference(unit_resolution,[status(thm)],[21408, 21407, 16024])).
% 8.31/6.30 tff(21410,plain,
% 8.31/6.30 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | ((~v123(constB163)) | (~(v130(constB163, bitIndex0) | (~v130(constB163, bitIndex2)) | (~v130(constB163, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | (~v123(constB163)) | (~(v130(constB163, bitIndex0) | (~v130(constB163, bitIndex2)) | (~v130(constB163, bitIndex1)))))),
% 8.31/6.30 inference(rewrite,[status(thm)],[])).
% 8.31/6.30 tff(21411,plain,
% 8.31/6.30 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | ((~v123(constB163)) | (~(v130(constB163, bitIndex0) | (~v130(constB163, bitIndex2)) | (~v130(constB163, bitIndex1)))))),
% 8.31/6.30 inference(quant_inst,[status(thm)],[])).
% 8.31/6.30 tff(21412,plain,
% 8.31/6.30 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | (~v123(constB163)) | (~(v130(constB163, bitIndex0) | (~v130(constB163, bitIndex2)) | (~v130(constB163, bitIndex1))))),
% 8.31/6.30 inference(modus_ponens,[status(thm)],[21411, 21410])).
% 8.31/6.30 tff(21413,plain,
% 8.31/6.30 ((~v123(constB163)) | (~(v130(constB163, bitIndex0) | (~v130(constB163, bitIndex2)) | (~v130(constB163, bitIndex1))))),
% 8.31/6.30 inference(unit_resolution,[status(thm)],[21412, 3496])).
% 8.31/6.30 tff(21414,plain,
% 8.31/6.30 (~(v130(constB163, bitIndex0) | (~v130(constB163, bitIndex2)) | (~v130(constB163, bitIndex1)))),
% 8.31/6.30 inference(unit_resolution,[status(thm)],[21413, 21409])).
% 8.31/6.30 tff(21415,plain,
% 8.31/6.30 ((v130(constB163, bitIndex0) | (~v130(constB163, bitIndex2)) | (~v130(constB163, bitIndex1))) | v130(constB163, bitIndex2)),
% 8.31/6.30 inference(tautology,[status(thm)],[])).
% 8.31/6.30 tff(21416,plain,
% 8.31/6.30 (v130(constB163, bitIndex2)),
% 8.31/6.30 inference(unit_resolution,[status(thm)],[21415, 21414])).
% 8.31/6.30 tff(21417,plain,
% 8.31/6.30 (((~v127(constB163, bitIndex2)) <=> v130(constB163, bitIndex2)) | v127(constB163, bitIndex2) | (~v130(constB163, bitIndex2))),
% 8.31/6.30 inference(tautology,[status(thm)],[])).
% 8.31/6.30 tff(21418,plain,
% 8.31/6.30 (v127(constB163, bitIndex2)),
% 8.31/6.30 inference(unit_resolution,[status(thm)],[21417, 21416, 16017])).
% 8.31/6.30 tff(21419,plain,
% 8.31/6.30 (((~v129(constB164, bitIndex2)) <=> v127(constB163, bitIndex2)) | v129(constB164, bitIndex2) | (~v127(constB163, bitIndex2))),
% 8.31/6.30 inference(tautology,[status(thm)],[])).
% 8.31/6.30 tff(21420,plain,
% 8.31/6.30 (v129(constB164, bitIndex2)),
% 8.31/6.30 inference(unit_resolution,[status(thm)],[21419, 21418, 16003])).
% 8.31/6.30 tff(21421,plain,
% 8.31/6.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB163, constB164)) | (v100(constB164) <=> (~((~v101(constB164)) | (~v110(constB164))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB163, constB164)) | (v100(constB164) <=> (~((~v101(constB164)) | (~v110(constB164))))))),
% 8.31/6.30 inference(rewrite,[status(thm)],[])).
% 8.31/6.30 tff(21422,plain,
% 8.31/6.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB163, constB164)) | (v100(constB164) <=> (~((~v101(constB164)) | (~v110(constB164))))))),
% 8.31/6.30 inference(quant_inst,[status(thm)],[])).
% 8.31/6.30 tff(21423,plain,
% 8.31/6.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB163, constB164)) | (v100(constB164) <=> (~((~v101(constB164)) | (~v110(constB164)))))),
% 8.31/6.30 inference(modus_ponens,[status(thm)],[21422, 21421])).
% 8.31/6.30 tff(21424,plain,
% 8.31/6.30 (v100(constB164) <=> (~((~v101(constB164)) | (~v110(constB164))))),
% 8.31/6.30 inference(unit_resolution,[status(thm)],[21423, 15997, 445])).
% 8.31/6.30 tff(21425,plain,
% 8.31/6.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB163, constB164)) | (v101(constB164) <=> (~((~v1(constB164)) | (~v102(constB164))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB163, constB164)) | (v101(constB164) <=> (~((~v1(constB164)) | (~v102(constB164))))))),
% 8.31/6.30 inference(rewrite,[status(thm)],[])).
% 8.31/6.30 tff(21426,plain,
% 8.31/6.30 (((~nextState(constB163, constB164)) | (v101(constB164) <=> (~((~v102(constB164)) | (~v1(constB164)))))) <=> ((~nextState(constB163, constB164)) | (v101(constB164) <=> (~((~v1(constB164)) | (~v102(constB164))))))),
% 8.31/6.30 inference(rewrite,[status(thm)],[])).
% 8.31/6.30 tff(21427,plain,
% 8.31/6.30 (((~![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) <=> (~((~v1(constB164)) | (~v102(constB164)))))))),
% 8.31/6.30 inference(monotonicity,[status(thm)],[21426])).
% 8.31/6.30 tff(21428,plain,
% 8.31/6.30 (((~![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) <=> (~((~v1(constB164)) | (~v102(constB164))))))),
% 8.31/6.30 inference(transitivity,[status(thm)],[21427, 21425])).
% 8.31/6.30 tff(21429,plain,
% 8.31/6.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB163, constB164)) | (v101(constB164) <=> (~((~v102(constB164)) | (~v1(constB164))))))),
% 8.31/6.30 inference(quant_inst,[status(thm)],[])).
% 8.31/6.30 tff(21430,plain,
% 8.31/6.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB163, constB164)) | (v101(constB164) <=> (~((~v1(constB164)) | (~v102(constB164)))))),
% 8.31/6.30 inference(modus_ponens,[status(thm)],[21429, 21428])).
% 8.31/6.30 tff(21431,plain,
% 8.31/6.30 (v101(constB164) <=> (~((~v1(constB164)) | (~v102(constB164))))),
% 8.31/6.30 inference(unit_resolution,[status(thm)],[21430, 15997, 465])).
% 8.31/6.30 tff(21432,plain,
% 8.31/6.30 (((~![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)))),
% 8.31/6.30 inference(rewrite,[status(thm)],[])).
% 8.31/6.30 tff(21433,plain,
% 8.31/6.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB163, constB164)) | ((~v102(constB164)) <=> v104(constB164)))),
% 8.31/6.30 inference(quant_inst,[status(thm)],[])).
% 8.31/6.30 tff(21434,plain,
% 8.31/6.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB163, constB164)) | ((~v102(constB164)) <=> v104(constB164))),
% 8.31/6.30 inference(modus_ponens,[status(thm)],[21433, 21432])).
% 8.31/6.30 tff(21435,plain,
% 8.31/6.30 ((~v102(constB164)) <=> v104(constB164)),
% 8.31/6.30 inference(unit_resolution,[status(thm)],[21434, 15997, 3244])).
% 8.31/6.30 tff(21436,plain,
% 8.31/6.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB163, constB164)) | (v104(constB164) <=> v1(constB163)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB163, constB164)) | (v104(constB164) <=> v1(constB163)))),
% 8.31/6.30 inference(rewrite,[status(thm)],[])).
% 8.31/6.30 tff(21437,plain,
% 8.31/6.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB163, constB164)) | (v104(constB164) <=> v1(constB163)))),
% 8.31/6.30 inference(quant_inst,[status(thm)],[])).
% 8.31/6.30 tff(21438,plain,
% 8.31/6.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB163, constB164)) | (v104(constB164) <=> v1(constB163))),
% 8.31/6.30 inference(modus_ponens,[status(thm)],[21437, 21436])).
% 8.31/6.30 tff(21439,plain,
% 8.31/6.30 (v104(constB164) <=> v1(constB163)),
% 8.31/6.30 inference(unit_resolution,[status(thm)],[21438, 15997, 3258])).
% 8.31/6.30 tff(21440,plain,
% 8.31/6.30 ((~(v104(constB164) <=> v1(constB163))) | (~v104(constB164)) | v1(constB163)),
% 8.31/6.30 inference(tautology,[status(thm)],[])).
% 8.31/6.30 tff(21441,plain,
% 8.31/6.30 ((~(v104(constB164) <=> v1(constB163))) | (~v104(constB164))),
% 8.31/6.30 inference(unit_resolution,[status(thm)],[21440, 16041])).
% 8.31/6.30 tff(21442,plain,
% 8.31/6.30 (~v104(constB164)),
% 8.31/6.31 inference(unit_resolution,[status(thm)],[21441, 21439])).
% 8.31/6.31 tff(21443,plain,
% 8.31/6.31 ((~((~v102(constB164)) <=> v104(constB164))) | v102(constB164) | v104(constB164)),
% 8.31/6.31 inference(tautology,[status(thm)],[])).
% 8.31/6.31 tff(21444,plain,
% 8.31/6.31 (v102(constB164)),
% 8.31/6.31 inference(unit_resolution,[status(thm)],[21443, 21442, 21435])).
% 8.31/6.31 tff(21445,plain,
% 8.31/6.31 (v1(constB164) <=> v1(constB164)),
% 8.31/6.31 inference(rewrite,[status(thm)],[])).
% 8.31/6.31 tff(21446,axiom,(v1(constB164)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_164')).
% 8.31/6.31 tff(21447,plain,
% 8.31/6.31 (v1(constB164)),
% 8.31/6.31 inference(modus_ponens,[status(thm)],[21446, 21445])).
% 8.31/6.31 tff(21448,plain,
% 8.31/6.31 ((~((~v1(constB164)) | (~v102(constB164)))) | (~v1(constB164)) | (~v102(constB164))),
% 8.31/6.31 inference(tautology,[status(thm)],[])).
% 8.31/6.31 tff(21449,plain,
% 8.31/6.31 ((~((~v1(constB164)) | (~v102(constB164)))) | (~v102(constB164))),
% 8.31/6.31 inference(unit_resolution,[status(thm)],[21448, 21447])).
% 8.31/6.31 tff(21450,plain,
% 8.31/6.31 (~((~v1(constB164)) | (~v102(constB164)))),
% 8.31/6.31 inference(unit_resolution,[status(thm)],[21449, 21444])).
% 8.31/6.31 tff(21451,plain,
% 8.31/6.31 ((~(v101(constB164) <=> (~((~v1(constB164)) | (~v102(constB164)))))) | v101(constB164) | ((~v1(constB164)) | (~v102(constB164)))),
% 8.31/6.31 inference(tautology,[status(thm)],[])).
% 8.31/6.31 tff(21452,plain,
% 8.31/6.31 (v101(constB164)),
% 8.31/6.31 inference(unit_resolution,[status(thm)],[21451, 21450, 21431])).
% 8.31/6.31 tff(21453,plain,
% 8.31/6.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB163, constB164)) | (v110(constB164) <=> v108(constB163)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB163, constB164)) | (v110(constB164) <=> v108(constB163)))),
% 8.31/6.31 inference(rewrite,[status(thm)],[])).
% 8.31/6.31 tff(21454,plain,
% 8.31/6.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB163, constB164)) | (v110(constB164) <=> v108(constB163)))),
% 8.31/6.31 inference(quant_inst,[status(thm)],[])).
% 8.31/6.31 tff(21455,plain,
% 8.31/6.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB163, constB164)) | (v110(constB164) <=> v108(constB163))),
% 8.31/6.31 inference(modus_ponens,[status(thm)],[21454, 21453])).
% 8.31/6.31 tff(21456,plain,
% 8.31/6.31 (v110(constB164) <=> v108(constB163)),
% 8.31/6.31 inference(unit_resolution,[status(thm)],[21455, 15997, 3285])).
% 8.31/6.31 tff(21457,plain,
% 8.31/6.31 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB163) <=> (v111(constB163) | v112(constB163)))),
% 8.31/6.31 inference(quant_inst,[status(thm)],[])).
% 8.31/6.31 tff(21458,plain,
% 8.31/6.31 (v108(constB163) <=> (v111(constB163) | v112(constB163))),
% 8.31/6.31 inference(unit_resolution,[status(thm)],[21457, 3296])).
% 8.31/6.31 tff(21459,plain,
% 8.31/6.31 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB163) <=> (~((~v113(constB163)) | (~v126(constB163)))))),
% 8.31/6.31 inference(quant_inst,[status(thm)],[])).
% 8.31/6.31 tff(21460,plain,
% 8.31/6.31 (v112(constB163) <=> (~((~v113(constB163)) | (~v126(constB163))))),
% 8.31/6.31 inference(unit_resolution,[status(thm)],[21459, 3308])).
% 8.31/6.31 tff(21461,plain,
% 8.31/6.31 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB163) <=> (v114(constB163) | v125(constB163)))),
% 8.31/6.31 inference(quant_inst,[status(thm)],[])).
% 8.31/6.31 tff(21462,plain,
% 8.31/6.31 (v113(constB163) <=> (v114(constB163) | v125(constB163))),
% 8.31/6.31 inference(unit_resolution,[status(thm)],[21461, 3317])).
% 8.31/6.31 tff(21463,plain,
% 8.31/6.31 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB163) <=> (v115(constB163) | v124(constB163)))),
% 8.31/6.31 inference(quant_inst,[status(thm)],[])).
% 8.31/6.31 tff(21464,plain,
% 8.31/6.31 (v114(constB163) <=> (v115(constB163) | v124(constB163))),
% 8.31/6.31 inference(unit_resolution,[status(thm)],[21463, 3326])).
% 8.31/6.31 tff(21465,plain,
% 8.31/6.31 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB163) <=> (v116(constB163) | v123(constB163)))),
% 8.31/6.31 inference(quant_inst,[status(thm)],[])).
% 8.31/6.31 tff(21466,plain,
% 8.31/6.31 (v115(constB163) <=> (v116(constB163) | v123(constB163))),
% 8.31/6.31 inference(unit_resolution,[status(thm)],[21465, 3335])).
% 8.31/6.31 tff(21467,plain,
% 8.31/6.31 ((v116(constB163) | v123(constB163)) | (~v123(constB163))),
% 8.31/6.31 inference(tautology,[status(thm)],[])).
% 8.31/6.31 tff(21468,plain,
% 8.31/6.31 (v116(constB163) | v123(constB163)),
% 8.31/6.31 inference(unit_resolution,[status(thm)],[21467, 21409])).
% 8.31/6.31 tff(21469,plain,
% 8.31/6.31 ((~(v115(constB163) <=> (v116(constB163) | v123(constB163)))) | v115(constB163) | (~(v116(constB163) | v123(constB163)))),
% 8.31/6.31 inference(tautology,[status(thm)],[])).
% 8.31/6.31 tff(21470,plain,
% 8.31/6.31 (v115(constB163)),
% 8.31/6.31 inference(unit_resolution,[status(thm)],[21469, 21468, 21466])).
% 8.31/6.31 tff(21471,plain,
% 8.31/6.31 ((v115(constB163) | v124(constB163)) | (~v115(constB163))),
% 8.31/6.31 inference(tautology,[status(thm)],[])).
% 8.31/6.31 tff(21472,plain,
% 8.31/6.31 (v115(constB163) | v124(constB163)),
% 8.31/6.31 inference(unit_resolution,[status(thm)],[21471, 21470])).
% 8.31/6.31 tff(21473,plain,
% 8.31/6.31 ((~(v114(constB163) <=> (v115(constB163) | v124(constB163)))) | v114(constB163) | (~(v115(constB163) | v124(constB163)))),
% 8.31/6.31 inference(tautology,[status(thm)],[])).
% 8.31/6.31 tff(21474,plain,
% 8.31/6.31 (v114(constB163)),
% 8.31/6.31 inference(unit_resolution,[status(thm)],[21473, 21472, 21464])).
% 8.31/6.31 tff(21475,plain,
% 8.31/6.31 ((v114(constB163) | v125(constB163)) | (~v114(constB163))),
% 8.31/6.31 inference(tautology,[status(thm)],[])).
% 8.31/6.31 tff(21476,plain,
% 8.31/6.31 (v114(constB163) | v125(constB163)),
% 8.31/6.31 inference(unit_resolution,[status(thm)],[21475, 21474])).
% 8.31/6.31 tff(21477,plain,
% 8.31/6.31 ((~(v113(constB163) <=> (v114(constB163) | v125(constB163)))) | v113(constB163) | (~(v114(constB163) | v125(constB163)))),
% 8.31/6.31 inference(tautology,[status(thm)],[])).
% 8.31/6.31 tff(21478,plain,
% 8.31/6.31 (v113(constB163)),
% 8.31/6.31 inference(unit_resolution,[status(thm)],[21477, 21476, 21462])).
% 8.31/6.31 tff(21479,plain,
% 8.31/6.31 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB163)) <=> v111(constB163))),
% 8.31/6.31 inference(quant_inst,[status(thm)],[])).
% 8.31/6.31 tff(21480,plain,
% 8.31/6.31 ((~v126(constB163)) <=> v111(constB163)),
% 8.31/6.31 inference(unit_resolution,[status(thm)],[21479, 3396])).
% 8.31/6.31 tff(21481,plain,
% 8.31/6.31 ((~((~v126(constB163)) <=> v111(constB163))) | v126(constB163) | v111(constB163)),
% 8.31/6.31 inference(tautology,[status(thm)],[])).
% 8.31/6.31 tff(21482,plain,
% 8.31/6.31 ((~((~v126(constB163)) <=> v111(constB163))) | v126(constB163)),
% 8.31/6.31 inference(unit_resolution,[status(thm)],[21481, 16010])).
% 8.31/6.31 tff(21483,plain,
% 8.31/6.31 (v126(constB163)),
% 8.31/6.31 inference(unit_resolution,[status(thm)],[21482, 21480])).
% 8.31/6.31 tff(21484,plain,
% 8.31/6.31 ((~((~v113(constB163)) | (~v126(constB163)))) | (~v113(constB163)) | (~v126(constB163))),
% 8.31/6.31 inference(tautology,[status(thm)],[])).
% 8.31/6.31 tff(21485,plain,
% 8.31/6.31 ((~((~v113(constB163)) | (~v126(constB163)))) | (~v113(constB163))),
% 8.31/6.31 inference(unit_resolution,[status(thm)],[21484, 21483])).
% 8.31/6.31 tff(21486,plain,
% 8.31/6.31 (~((~v113(constB163)) | (~v126(constB163)))),
% 8.31/6.31 inference(unit_resolution,[status(thm)],[21485, 21478])).
% 8.31/6.31 tff(21487,plain,
% 8.31/6.31 ((~(v112(constB163) <=> (~((~v113(constB163)) | (~v126(constB163)))))) | v112(constB163) | ((~v113(constB163)) | (~v126(constB163)))),
% 8.31/6.31 inference(tautology,[status(thm)],[])).
% 8.31/6.31 tff(21488,plain,
% 8.31/6.31 (v112(constB163)),
% 8.31/6.31 inference(unit_resolution,[status(thm)],[21487, 21486, 21460])).
% 8.31/6.31 tff(21489,plain,
% 8.31/6.31 ((v111(constB163) | v112(constB163)) | (~v112(constB163))),
% 8.31/6.31 inference(tautology,[status(thm)],[])).
% 8.31/6.31 tff(21490,plain,
% 8.31/6.31 (v111(constB163) | v112(constB163)),
% 8.31/6.31 inference(unit_resolution,[status(thm)],[21489, 21488])).
% 8.31/6.31 tff(21491,plain,
% 8.31/6.31 ((~(v108(constB163) <=> (v111(constB163) | v112(constB163)))) | v108(constB163) | (~(v111(constB163) | v112(constB163)))),
% 8.31/6.31 inference(tautology,[status(thm)],[])).
% 8.31/6.31 tff(21492,plain,
% 8.31/6.31 (v108(constB163)),
% 8.31/6.31 inference(unit_resolution,[status(thm)],[21491, 21490, 21458])).
% 8.31/6.31 tff(21493,plain,
% 8.31/6.31 ((~(v110(constB164) <=> v108(constB163))) | v110(constB164) | (~v108(constB163))),
% 8.31/6.31 inference(tautology,[status(thm)],[])).
% 8.31/6.31 tff(21494,plain,
% 8.31/6.31 (v110(constB164)),
% 8.31/6.31 inference(unit_resolution,[status(thm)],[21493, 21492, 21456])).
% 8.31/6.31 tff(21495,plain,
% 8.31/6.31 ((~((~v101(constB164)) | (~v110(constB164)))) | (~v101(constB164)) | (~v110(constB164))),
% 8.31/6.31 inference(tautology,[status(thm)],[])).
% 8.31/6.31 tff(21496,plain,
% 8.31/6.31 (~((~v101(constB164)) | (~v110(constB164)))),
% 8.31/6.31 inference(unit_resolution,[status(thm)],[21495, 21494, 21452])).
% 8.31/6.31 tff(21497,plain,
% 8.31/6.31 ((~(v100(constB164) <=> (~((~v101(constB164)) | (~v110(constB164)))))) | v100(constB164) | ((~v101(constB164)) | (~v110(constB164)))),
% 8.31/6.31 inference(tautology,[status(thm)],[])).
% 8.31/6.31 tff(21498,plain,
% 8.31/6.31 (v100(constB164)),
% 8.31/6.31 inference(unit_resolution,[status(thm)],[21497, 21496, 21424])).
% 8.31/6.31 tff(21499,plain,
% 8.31/6.31 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB164)) | (~(((~v90(constB164, bitIndex2)) <=> v129(constB164, bitIndex2)) | ((~v90(constB164, bitIndex1)) <=> v129(constB164, bitIndex1)) | ((~v90(constB164, bitIndex0)) <=> v129(constB164, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB164)) | (~(((~v90(constB164, bitIndex2)) <=> v129(constB164, bitIndex2)) | ((~v90(constB164, bitIndex1)) <=> v129(constB164, bitIndex1)) | ((~v90(constB164, bitIndex0)) <=> v129(constB164, bitIndex0)))))),
% 8.31/6.31 inference(rewrite,[status(thm)],[])).
% 8.31/6.31 tff(21500,plain,
% 8.31/6.31 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB164)) | (~(((~v90(constB164, bitIndex2)) <=> v129(constB164, bitIndex2)) | ((~v90(constB164, bitIndex1)) <=> v129(constB164, bitIndex1)) | ((~v90(constB164, bitIndex0)) <=> v129(constB164, bitIndex0)))))),
% 8.31/6.31 inference(quant_inst,[status(thm)],[])).
% 8.31/6.31 tff(21501,plain,
% 8.31/6.31 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB164)) | (~(((~v90(constB164, bitIndex2)) <=> v129(constB164, bitIndex2)) | ((~v90(constB164, bitIndex1)) <=> v129(constB164, bitIndex1)) | ((~v90(constB164, bitIndex0)) <=> v129(constB164, bitIndex0))))),
% 8.31/6.31 inference(modus_ponens,[status(thm)],[21500, 21499])).
% 8.31/6.31 tff(21502,plain,
% 8.31/6.31 ((~v100(constB164)) | (~(((~v90(constB164, bitIndex2)) <=> v129(constB164, bitIndex2)) | ((~v90(constB164, bitIndex1)) <=> v129(constB164, bitIndex1)) | ((~v90(constB164, bitIndex0)) <=> v129(constB164, bitIndex0))))),
% 8.31/6.31 inference(unit_resolution,[status(thm)],[21501, 3429])).
% 8.31/6.31 tff(21503,plain,
% 8.31/6.31 (~(((~v90(constB164, bitIndex2)) <=> v129(constB164, bitIndex2)) | ((~v90(constB164, bitIndex1)) <=> v129(constB164, bitIndex1)) | ((~v90(constB164, bitIndex0)) <=> v129(constB164, bitIndex0)))),
% 8.31/6.31 inference(unit_resolution,[status(thm)],[21502, 21498])).
% 8.31/6.31 tff(21504,plain,
% 8.31/6.31 ((((~v90(constB164, bitIndex2)) <=> v129(constB164, bitIndex2)) | ((~v90(constB164, bitIndex1)) <=> v129(constB164, bitIndex1)) | ((~v90(constB164, bitIndex0)) <=> v129(constB164, bitIndex0))) | (~((~v90(constB164, bitIndex2)) <=> v129(constB164, bitIndex2)))),
% 8.31/6.31 inference(tautology,[status(thm)],[])).
% 8.31/6.31 tff(21505,plain,
% 8.31/6.31 (~((~v90(constB164, bitIndex2)) <=> v129(constB164, bitIndex2))),
% 8.31/6.31 inference(unit_resolution,[status(thm)],[21504, 21503])).
% 8.31/6.31 tff(21506,plain,
% 8.31/6.31 (((~v90(constB164, bitIndex2)) <=> v129(constB164, bitIndex2)) | v90(constB164, bitIndex2) | (~v129(constB164, bitIndex2))),
% 8.31/6.31 inference(tautology,[status(thm)],[])).
% 8.31/6.31 tff(21507,plain,
% 8.31/6.31 (v90(constB164, bitIndex2)),
% 8.31/6.31 inference(unit_resolution,[status(thm)],[21506, 21505, 21420])).
% 8.31/6.31 tff(21508,plain,
% 8.31/6.31 (((~v90(constB165, bitIndex2)) <=> v90(constB164, bitIndex2)) | v90(constB165, bitIndex2) | (~v90(constB164, bitIndex2))),
% 8.31/6.31 inference(tautology,[status(thm)],[])).
% 8.31/6.31 tff(21509,plain,
% 8.31/6.31 (v90(constB165, bitIndex2)),
% 8.31/6.31 inference(unit_resolution,[status(thm)],[21508, 21507, 15994])).
% 8.31/6.31 tff(21510,plain,
% 8.31/6.31 ((v90(constB165, bitIndex0) | v90(constB165, bitIndex1) | v90(constB165, bitIndex2)) | (~v90(constB165, bitIndex2))),
% 8.31/6.31 inference(tautology,[status(thm)],[])).
% 8.31/6.31 tff(21511,plain,
% 8.31/6.31 (v90(constB165, bitIndex0) | v90(constB165, bitIndex1) | v90(constB165, bitIndex2)),
% 8.31/6.31 inference(unit_resolution,[status(thm)],[21510, 21509])).
% 8.31/6.31 tff(21512,plain,
% 8.31/6.31 ((~(v119(constB165) <=> (~(v90(constB165, bitIndex0) | v90(constB165, bitIndex1) | v90(constB165, bitIndex2))))) | (~v119(constB165)) | (~(v90(constB165, bitIndex0) | v90(constB165, bitIndex1) | v90(constB165, bitIndex2)))),
% 8.31/6.31 inference(tautology,[status(thm)],[])).
% 8.31/6.31 tff(21513,plain,
% 8.31/6.31 (~v119(constB165)),
% 8.31/6.31 inference(unit_resolution,[status(thm)],[21512, 21511, 15958])).
% 8.31/6.31 tff(21514,plain,
% 8.31/6.31 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB165) <=> (~(v90(constB165, bitIndex1) | (~v90(constB165, bitIndex2)) | (~v90(constB165, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB165) <=> (~(v90(constB165, bitIndex1) | (~v90(constB165, bitIndex2)) | (~v90(constB165, bitIndex0))))))),
% 8.31/6.31 inference(rewrite,[status(thm)],[])).
% 8.31/6.31 tff(21515,plain,
% 8.31/6.31 ((v124(constB165) <=> (~(v90(constB165, bitIndex1) | (~v90(constB165, bitIndex0)) | (~v90(constB165, bitIndex2))))) <=> (v124(constB165) <=> (~(v90(constB165, bitIndex1) | (~v90(constB165, bitIndex2)) | (~v90(constB165, bitIndex0)))))),
% 8.31/6.31 inference(rewrite,[status(thm)],[])).
% 8.31/6.31 tff(21516,plain,
% 8.31/6.31 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB165) <=> (~(v90(constB165, bitIndex1) | (~v90(constB165, bitIndex0)) | (~v90(constB165, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB165) <=> (~(v90(constB165, bitIndex1) | (~v90(constB165, bitIndex2)) | (~v90(constB165, bitIndex0))))))),
% 8.31/6.31 inference(monotonicity,[status(thm)],[21515])).
% 8.31/6.31 tff(21517,plain,
% 8.31/6.31 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB165) <=> (~(v90(constB165, bitIndex1) | (~v90(constB165, bitIndex0)) | (~v90(constB165, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB165) <=> (~(v90(constB165, bitIndex1) | (~v90(constB165, bitIndex2)) | (~v90(constB165, bitIndex0))))))),
% 8.31/6.31 inference(transitivity,[status(thm)],[21516, 21514])).
% 8.31/6.31 tff(21518,plain,
% 8.31/6.31 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB165) <=> (~(v90(constB165, bitIndex1) | (~v90(constB165, bitIndex0)) | (~v90(constB165, bitIndex2)))))),
% 8.31/6.31 inference(quant_inst,[status(thm)],[])).
% 8.31/6.31 tff(21519,plain,
% 8.31/6.31 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB165) <=> (~(v90(constB165, bitIndex1) | (~v90(constB165, bitIndex2)) | (~v90(constB165, bitIndex0)))))),
% 8.31/6.31 inference(modus_ponens,[status(thm)],[21518, 21517])).
% 8.31/6.31 tff(21520,plain,
% 8.31/6.31 (v124(constB165) <=> (~(v90(constB165, bitIndex1) | (~v90(constB165, bitIndex2)) | (~v90(constB165, bitIndex0))))),
% 8.31/6.31 inference(unit_resolution,[status(thm)],[21519, 3613])).
% 8.31/6.31 tff(21521,plain,
% 8.31/6.31 ((((~v90(constB165, bitIndex1)) <=> v90(constB164, bitIndex1)) | ((~v90(constB165, bitIndex2)) <=> v90(constB164, bitIndex2)) | ((~v90(constB165, bitIndex0)) <=> v90(constB164, bitIndex0))) | (~((~v90(constB165, bitIndex1)) <=> v90(constB164, bitIndex1)))),
% 8.31/6.31 inference(tautology,[status(thm)],[])).
% 8.31/6.31 tff(21522,plain,
% 8.31/6.31 (~((~v90(constB165, bitIndex1)) <=> v90(constB164, bitIndex1))),
% 8.31/6.31 inference(unit_resolution,[status(thm)],[21521, 15992])).
% 8.31/6.31 tff(21523,plain,
% 8.31/6.31 ((((~v129(constB164, bitIndex2)) <=> v127(constB163, bitIndex2)) | ((~v129(constB164, bitIndex1)) <=> v127(constB163, bitIndex1)) | ((~v129(constB164, bitIndex0)) <=> v127(constB163, bitIndex0))) | (~((~v129(constB164, bitIndex1)) <=> v127(constB163, bitIndex1)))),
% 8.31/6.31 inference(tautology,[status(thm)],[])).
% 8.31/6.31 tff(21524,plain,
% 8.31/6.31 (~((~v129(constB164, bitIndex1)) <=> v127(constB163, bitIndex1))),
% 8.31/6.31 inference(unit_resolution,[status(thm)],[21523, 16001])).
% 8.31/6.31 tff(21525,plain,
% 8.31/6.31 ((((~v127(constB163, bitIndex2)) <=> v130(constB163, bitIndex2)) | ((~v127(constB163, bitIndex1)) <=> v130(constB163, bitIndex1)) | ((~v127(constB163, bitIndex0)) <=> v130(constB163, bitIndex0))) | (~((~v127(constB163, bitIndex1)) <=> v130(constB163, bitIndex1)))),
% 8.31/6.31 inference(tautology,[status(thm)],[])).
% 8.31/6.31 tff(21526,plain,
% 8.31/6.31 (~((~v127(constB163, bitIndex1)) <=> v130(constB163, bitIndex1))),
% 8.31/6.31 inference(unit_resolution,[status(thm)],[21525, 16015])).
% 8.31/6.31 tff(21527,plain,
% 8.31/6.31 ((v130(constB163, bitIndex0) | (~v130(constB163, bitIndex2)) | (~v130(constB163, bitIndex1))) | v130(constB163, bitIndex1)),
% 8.31/6.31 inference(tautology,[status(thm)],[])).
% 8.31/6.31 tff(21528,plain,
% 8.31/6.31 (v130(constB163, bitIndex1)),
% 8.31/6.31 inference(unit_resolution,[status(thm)],[21527, 21414])).
% 8.31/6.31 tff(21529,plain,
% 8.31/6.31 (((~v127(constB163, bitIndex1)) <=> v130(constB163, bitIndex1)) | v127(constB163, bitIndex1) | (~v130(constB163, bitIndex1))),
% 8.31/6.31 inference(tautology,[status(thm)],[])).
% 8.31/6.31 tff(21530,plain,
% 8.31/6.31 (v127(constB163, bitIndex1)),
% 8.31/6.31 inference(unit_resolution,[status(thm)],[21529, 21528, 21526])).
% 8.31/6.31 tff(21531,plain,
% 8.31/6.31 (((~v129(constB164, bitIndex1)) <=> v127(constB163, bitIndex1)) | v129(constB164, bitIndex1) | (~v127(constB163, bitIndex1))),
% 8.31/6.31 inference(tautology,[status(thm)],[])).
% 8.31/6.31 tff(21532,plain,
% 8.31/6.31 (v129(constB164, bitIndex1)),
% 8.31/6.31 inference(unit_resolution,[status(thm)],[21531, 21530, 21524])).
% 8.31/6.31 tff(21533,plain,
% 8.31/6.31 ((((~v90(constB164, bitIndex2)) <=> v129(constB164, bitIndex2)) | ((~v90(constB164, bitIndex1)) <=> v129(constB164, bitIndex1)) | ((~v90(constB164, bitIndex0)) <=> v129(constB164, bitIndex0))) | (~((~v90(constB164, bitIndex1)) <=> v129(constB164, bitIndex1)))),
% 8.31/6.31 inference(tautology,[status(thm)],[])).
% 8.31/6.31 tff(21534,plain,
% 8.31/6.31 (~((~v90(constB164, bitIndex1)) <=> v129(constB164, bitIndex1))),
% 8.31/6.31 inference(unit_resolution,[status(thm)],[21533, 21503])).
% 8.31/6.31 tff(21535,plain,
% 8.31/6.31 (((~v90(constB164, bitIndex1)) <=> v129(constB164, bitIndex1)) | v90(constB164, bitIndex1) | (~v129(constB164, bitIndex1))),
% 8.31/6.31 inference(tautology,[status(thm)],[])).
% 8.31/6.31 tff(21536,plain,
% 8.31/6.31 (v90(constB164, bitIndex1)),
% 8.31/6.31 inference(unit_resolution,[status(thm)],[21535, 21534, 21532])).
% 8.31/6.31 tff(21537,plain,
% 8.31/6.31 (((~v90(constB165, bitIndex1)) <=> v90(constB164, bitIndex1)) | v90(constB165, bitIndex1) | (~v90(constB164, bitIndex1))),
% 8.31/6.31 inference(tautology,[status(thm)],[])).
% 8.31/6.31 tff(21538,plain,
% 8.31/6.31 (v90(constB165, bitIndex1)),
% 8.31/6.31 inference(unit_resolution,[status(thm)],[21537, 21536, 21522])).
% 8.31/6.31 tff(21539,plain,
% 8.31/6.31 ((v90(constB165, bitIndex1) | (~v90(constB165, bitIndex2)) | (~v90(constB165, bitIndex0))) | (~v90(constB165, bitIndex1))),
% 8.31/6.31 inference(tautology,[status(thm)],[])).
% 8.31/6.31 tff(21540,plain,
% 8.31/6.31 (v90(constB165, bitIndex1) | (~v90(constB165, bitIndex2)) | (~v90(constB165, bitIndex0))),
% 8.31/6.31 inference(unit_resolution,[status(thm)],[21539, 21538])).
% 8.31/6.31 tff(21541,plain,
% 8.31/6.31 ((~(v124(constB165) <=> (~(v90(constB165, bitIndex1) | (~v90(constB165, bitIndex2)) | (~v90(constB165, bitIndex0)))))) | (~v124(constB165)) | (~(v90(constB165, bitIndex1) | (~v90(constB165, bitIndex2)) | (~v90(constB165, bitIndex0))))),
% 8.31/6.31 inference(tautology,[status(thm)],[])).
% 8.31/6.31 tff(21542,plain,
% 8.31/6.31 (~v124(constB165)),
% 8.31/6.31 inference(unit_resolution,[status(thm)],[21541, 21540, 21520])).
% 8.31/6.31 tff(21543,plain,
% 8.31/6.31 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB165) <=> (~(v90(constB165, bitIndex1) | v90(constB165, bitIndex0) | (~v90(constB165, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB165) <=> (~(v90(constB165, bitIndex1) | v90(constB165, bitIndex0) | (~v90(constB165, bitIndex2))))))),
% 8.31/6.31 inference(rewrite,[status(thm)],[])).
% 8.31/6.31 tff(21544,plain,
% 8.31/6.31 ((v123(constB165) <=> (~(v90(constB165, bitIndex0) | v90(constB165, bitIndex1) | (~v90(constB165, bitIndex2))))) <=> (v123(constB165) <=> (~(v90(constB165, bitIndex1) | v90(constB165, bitIndex0) | (~v90(constB165, bitIndex2)))))),
% 8.31/6.31 inference(rewrite,[status(thm)],[])).
% 8.31/6.31 tff(21545,plain,
% 8.31/6.31 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB165) <=> (~(v90(constB165, bitIndex0) | v90(constB165, bitIndex1) | (~v90(constB165, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB165) <=> (~(v90(constB165, bitIndex1) | v90(constB165, bitIndex0) | (~v90(constB165, bitIndex2))))))),
% 8.31/6.31 inference(monotonicity,[status(thm)],[21544])).
% 8.31/6.31 tff(21546,plain,
% 8.31/6.31 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB165) <=> (~(v90(constB165, bitIndex0) | v90(constB165, bitIndex1) | (~v90(constB165, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB165) <=> (~(v90(constB165, bitIndex1) | v90(constB165, bitIndex0) | (~v90(constB165, bitIndex2))))))),
% 8.31/6.31 inference(transitivity,[status(thm)],[21545, 21543])).
% 8.31/6.31 tff(21547,plain,
% 8.31/6.31 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB165) <=> (~(v90(constB165, bitIndex0) | v90(constB165, bitIndex1) | (~v90(constB165, bitIndex2)))))),
% 8.31/6.31 inference(quant_inst,[status(thm)],[])).
% 8.31/6.31 tff(21548,plain,
% 8.31/6.31 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB165) <=> (~(v90(constB165, bitIndex1) | v90(constB165, bitIndex0) | (~v90(constB165, bitIndex2)))))),
% 8.31/6.31 inference(modus_ponens,[status(thm)],[21547, 21546])).
% 8.31/6.31 tff(21549,plain,
% 8.31/6.31 (v123(constB165) <=> (~(v90(constB165, bitIndex1) | v90(constB165, bitIndex0) | (~v90(constB165, bitIndex2))))),
% 8.31/6.31 inference(unit_resolution,[status(thm)],[21548, 800])).
% 8.31/6.31 tff(21550,plain,
% 8.31/6.31 ((v90(constB165, bitIndex1) | v90(constB165, bitIndex0) | (~v90(constB165, bitIndex2))) | (~v90(constB165, bitIndex1))),
% 8.31/6.31 inference(tautology,[status(thm)],[])).
% 8.31/6.31 tff(21551,plain,
% 8.31/6.31 (v90(constB165, bitIndex1) | v90(constB165, bitIndex0) | (~v90(constB165, bitIndex2))),
% 8.31/6.31 inference(unit_resolution,[status(thm)],[21550, 21538])).
% 8.31/6.31 tff(21552,plain,
% 8.31/6.31 ((~(v123(constB165) <=> (~(v90(constB165, bitIndex1) | v90(constB165, bitIndex0) | (~v90(constB165, bitIndex2)))))) | (~v123(constB165)) | (~(v90(constB165, bitIndex1) | v90(constB165, bitIndex0) | (~v90(constB165, bitIndex2))))),
% 8.31/6.31 inference(tautology,[status(thm)],[])).
% 8.31/6.31 tff(21553,plain,
% 8.31/6.31 (~v123(constB165)),
% 8.31/6.31 inference(unit_resolution,[status(thm)],[21552, 21551, 21549])).
% 8.31/6.31 tff(21554,plain,
% 8.31/6.31 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB165) <=> (~(v90(constB165, bitIndex2) | (~v90(constB165, bitIndex1)) | (~v90(constB165, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB165) <=> (~(v90(constB165, bitIndex2) | (~v90(constB165, bitIndex1)) | (~v90(constB165, bitIndex0))))))),
% 8.31/6.31 inference(rewrite,[status(thm)],[])).
% 8.31/6.31 tff(21555,plain,
% 8.31/6.31 ((v122(constB165) <=> (~(v90(constB165, bitIndex2) | (~v90(constB165, bitIndex0)) | (~v90(constB165, bitIndex1))))) <=> (v122(constB165) <=> (~(v90(constB165, bitIndex2) | (~v90(constB165, bitIndex1)) | (~v90(constB165, bitIndex0)))))),
% 8.31/6.31 inference(rewrite,[status(thm)],[])).
% 8.31/6.31 tff(21556,plain,
% 8.31/6.31 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB165) <=> (~(v90(constB165, bitIndex2) | (~v90(constB165, bitIndex0)) | (~v90(constB165, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB165) <=> (~(v90(constB165, bitIndex2) | (~v90(constB165, bitIndex1)) | (~v90(constB165, bitIndex0))))))),
% 8.31/6.31 inference(monotonicity,[status(thm)],[21555])).
% 8.31/6.31 tff(21557,plain,
% 8.31/6.31 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB165) <=> (~(v90(constB165, bitIndex2) | (~v90(constB165, bitIndex0)) | (~v90(constB165, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB165) <=> (~(v90(constB165, bitIndex2) | (~v90(constB165, bitIndex1)) | (~v90(constB165, bitIndex0))))))),
% 8.31/6.31 inference(transitivity,[status(thm)],[21556, 21554])).
% 8.31/6.31 tff(21558,plain,
% 8.31/6.31 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB165) <=> (~(v90(constB165, bitIndex2) | (~v90(constB165, bitIndex0)) | (~v90(constB165, bitIndex1)))))),
% 8.31/6.31 inference(quant_inst,[status(thm)],[])).
% 8.31/6.31 tff(21559,plain,
% 8.31/6.31 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB165) <=> (~(v90(constB165, bitIndex2) | (~v90(constB165, bitIndex1)) | (~v90(constB165, bitIndex0)))))),
% 8.31/6.31 inference(modus_ponens,[status(thm)],[21558, 21557])).
% 8.31/6.31 tff(21560,plain,
% 8.31/6.31 (v122(constB165) <=> (~(v90(constB165, bitIndex2) | (~v90(constB165, bitIndex1)) | (~v90(constB165, bitIndex0))))),
% 8.31/6.31 inference(unit_resolution,[status(thm)],[21559, 879])).
% 8.31/6.31 tff(21561,plain,
% 8.31/6.31 ((v90(constB165, bitIndex2) | (~v90(constB165, bitIndex1)) | (~v90(constB165, bitIndex0))) | (~v90(constB165, bitIndex2))),
% 8.31/6.31 inference(tautology,[status(thm)],[])).
% 8.31/6.31 tff(21562,plain,
% 8.31/6.31 (v90(constB165, bitIndex2) | (~v90(constB165, bitIndex1)) | (~v90(constB165, bitIndex0))),
% 8.31/6.31 inference(unit_resolution,[status(thm)],[21561, 21509])).
% 8.31/6.31 tff(21563,plain,
% 8.31/6.31 ((~(v122(constB165) <=> (~(v90(constB165, bitIndex2) | (~v90(constB165, bitIndex1)) | (~v90(constB165, bitIndex0)))))) | (~v122(constB165)) | (~(v90(constB165, bitIndex2) | (~v90(constB165, bitIndex1)) | (~v90(constB165, bitIndex0))))),
% 8.31/6.31 inference(tautology,[status(thm)],[])).
% 8.31/6.31 tff(21564,plain,
% 8.31/6.31 (~v122(constB165)),
% 8.31/6.31 inference(unit_resolution,[status(thm)],[21563, 21562, 21560])).
% 8.31/6.31 tff(21565,plain,
% 8.31/6.31 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB165) <=> (~(v90(constB165, bitIndex2) | v90(constB165, bitIndex0) | (~v90(constB165, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB165) <=> (~(v90(constB165, bitIndex2) | v90(constB165, bitIndex0) | (~v90(constB165, bitIndex1))))))),
% 8.31/6.31 inference(rewrite,[status(thm)],[])).
% 8.31/6.31 tff(21566,plain,
% 8.31/6.31 ((v121(constB165) <=> (~(v90(constB165, bitIndex0) | v90(constB165, bitIndex2) | (~v90(constB165, bitIndex1))))) <=> (v121(constB165) <=> (~(v90(constB165, bitIndex2) | v90(constB165, bitIndex0) | (~v90(constB165, bitIndex1)))))),
% 8.31/6.31 inference(rewrite,[status(thm)],[])).
% 8.31/6.31 tff(21567,plain,
% 8.31/6.31 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB165) <=> (~(v90(constB165, bitIndex0) | v90(constB165, bitIndex2) | (~v90(constB165, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB165) <=> (~(v90(constB165, bitIndex2) | v90(constB165, bitIndex0) | (~v90(constB165, bitIndex1))))))),
% 8.31/6.31 inference(monotonicity,[status(thm)],[21566])).
% 8.31/6.31 tff(21568,plain,
% 8.31/6.31 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB165) <=> (~(v90(constB165, bitIndex0) | v90(constB165, bitIndex2) | (~v90(constB165, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB165) <=> (~(v90(constB165, bitIndex2) | v90(constB165, bitIndex0) | (~v90(constB165, bitIndex1))))))),
% 8.31/6.31 inference(transitivity,[status(thm)],[21567, 21565])).
% 8.31/6.31 tff(21569,plain,
% 8.31/6.31 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB165) <=> (~(v90(constB165, bitIndex0) | v90(constB165, bitIndex2) | (~v90(constB165, bitIndex1)))))),
% 8.31/6.31 inference(quant_inst,[status(thm)],[])).
% 8.31/6.31 tff(21570,plain,
% 8.31/6.31 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB165) <=> (~(v90(constB165, bitIndex2) | v90(constB165, bitIndex0) | (~v90(constB165, bitIndex1)))))),
% 8.31/6.31 inference(modus_ponens,[status(thm)],[21569, 21568])).
% 8.31/6.31 tff(21571,plain,
% 8.31/6.31 (v121(constB165) <=> (~(v90(constB165, bitIndex2) | v90(constB165, bitIndex0) | (~v90(constB165, bitIndex1))))),
% 8.31/6.31 inference(unit_resolution,[status(thm)],[21570, 586])).
% 8.31/6.31 tff(21572,plain,
% 8.31/6.31 ((v90(constB165, bitIndex2) | v90(constB165, bitIndex0) | (~v90(constB165, bitIndex1))) | (~v90(constB165, bitIndex2))),
% 8.31/6.31 inference(tautology,[status(thm)],[])).
% 8.31/6.31 tff(21573,plain,
% 8.31/6.31 (v90(constB165, bitIndex2) | v90(constB165, bitIndex0) | (~v90(constB165, bitIndex1))),
% 8.31/6.31 inference(unit_resolution,[status(thm)],[21572, 21509])).
% 8.31/6.31 tff(21574,plain,
% 8.31/6.31 ((~(v121(constB165) <=> (~(v90(constB165, bitIndex2) | v90(constB165, bitIndex0) | (~v90(constB165, bitIndex1)))))) | (~v121(constB165)) | (~(v90(constB165, bitIndex2) | v90(constB165, bitIndex0) | (~v90(constB165, bitIndex1))))),
% 8.31/6.31 inference(tautology,[status(thm)],[])).
% 8.31/6.31 tff(21575,plain,
% 8.31/6.31 (~v121(constB165)),
% 8.31/6.31 inference(unit_resolution,[status(thm)],[21574, 21573, 21571])).
% 8.31/6.31 tff(21576,plain,
% 8.31/6.31 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB165) <=> (~(v90(constB165, bitIndex1) | v90(constB165, bitIndex2) | (~v90(constB165, bitIndex0)))))),
% 8.31/6.31 inference(quant_inst,[status(thm)],[])).
% 8.31/6.31 tff(21577,plain,
% 8.31/6.31 (v120(constB165) <=> (~(v90(constB165, bitIndex1) | v90(constB165, bitIndex2) | (~v90(constB165, bitIndex0))))),
% 8.31/6.31 inference(unit_resolution,[status(thm)],[21576, 665])).
% 8.31/6.31 tff(21578,plain,
% 8.31/6.31 ((v90(constB165, bitIndex1) | v90(constB165, bitIndex2) | (~v90(constB165, bitIndex0))) | (~v90(constB165, bitIndex2))),
% 8.31/6.31 inference(tautology,[status(thm)],[])).
% 8.31/6.31 tff(21579,plain,
% 8.31/6.31 (v90(constB165, bitIndex1) | v90(constB165, bitIndex2) | (~v90(constB165, bitIndex0))),
% 8.31/6.31 inference(unit_resolution,[status(thm)],[21578, 21509])).
% 8.31/6.31 tff(21580,plain,
% 8.31/6.31 ((~(v120(constB165) <=> (~(v90(constB165, bitIndex1) | v90(constB165, bitIndex2) | (~v90(constB165, bitIndex0)))))) | (~v120(constB165)) | (~(v90(constB165, bitIndex1) | v90(constB165, bitIndex2) | (~v90(constB165, bitIndex0))))),
% 8.31/6.31 inference(tautology,[status(thm)],[])).
% 8.31/6.31 tff(21581,plain,
% 8.31/6.31 (~v120(constB165)),
% 8.31/6.31 inference(unit_resolution,[status(thm)],[21580, 21579, 21577])).
% 8.31/6.31 tff(21582,plain,
% 8.31/6.31 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v119(constB165) | v120(constB165) | v121(constB165) | v122(constB165) | v123(constB165) | v124(constB165) | (~(v130(constB165, bitIndex2) | v130(constB165, bitIndex1) | (~v130(constB165, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | v119(constB165) | v120(constB165) | v121(constB165) | v122(constB165) | v123(constB165) | v124(constB165) | (~(v130(constB165, bitIndex2) | v130(constB165, bitIndex1) | (~v130(constB165, bitIndex0)))))),
% 8.31/6.32 inference(rewrite,[status(thm)],[])).
% 8.31/6.32 tff(21583,plain,
% 8.31/6.32 ((v124(constB165) | v123(constB165) | v122(constB165) | v121(constB165) | v120(constB165) | v119(constB165) | (~(v130(constB165, bitIndex2) | v130(constB165, bitIndex1) | (~v130(constB165, bitIndex0))))) <=> (v119(constB165) | v120(constB165) | v121(constB165) | v122(constB165) | v123(constB165) | v124(constB165) | (~(v130(constB165, bitIndex2) | v130(constB165, bitIndex1) | (~v130(constB165, bitIndex0)))))),
% 8.31/6.32 inference(rewrite,[status(thm)],[])).
% 8.31/6.32 tff(21584,plain,
% 8.31/6.32 ((~(v130(constB165, bitIndex1) | v130(constB165, bitIndex2) | (~v130(constB165, bitIndex0)))) <=> (~(v130(constB165, bitIndex2) | v130(constB165, bitIndex1) | (~v130(constB165, bitIndex0))))),
% 8.31/6.32 inference(rewrite,[status(thm)],[])).
% 8.31/6.32 tff(21585,plain,
% 8.31/6.32 ((v124(constB165) | v123(constB165) | v122(constB165) | v121(constB165) | v120(constB165) | v119(constB165) | (~(v130(constB165, bitIndex1) | v130(constB165, bitIndex2) | (~v130(constB165, bitIndex0))))) <=> (v124(constB165) | v123(constB165) | v122(constB165) | v121(constB165) | v120(constB165) | v119(constB165) | (~(v130(constB165, bitIndex2) | v130(constB165, bitIndex1) | (~v130(constB165, bitIndex0)))))),
% 8.31/6.32 inference(monotonicity,[status(thm)],[21584])).
% 8.31/6.32 tff(21586,plain,
% 8.31/6.32 ((v124(constB165) | v123(constB165) | v122(constB165) | v121(constB165) | v120(constB165) | v119(constB165) | (~(v130(constB165, bitIndex1) | v130(constB165, bitIndex2) | (~v130(constB165, bitIndex0))))) <=> (v119(constB165) | v120(constB165) | v121(constB165) | v122(constB165) | v123(constB165) | v124(constB165) | (~(v130(constB165, bitIndex2) | v130(constB165, bitIndex1) | (~v130(constB165, bitIndex0)))))),
% 8.31/6.32 inference(transitivity,[status(thm)],[21585, 21583])).
% 8.31/6.32 tff(21587,plain,
% 8.31/6.32 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB165) | v123(constB165) | v122(constB165) | v121(constB165) | v120(constB165) | v119(constB165) | (~(v130(constB165, bitIndex1) | v130(constB165, bitIndex2) | (~v130(constB165, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v119(constB165) | v120(constB165) | v121(constB165) | v122(constB165) | v123(constB165) | v124(constB165) | (~(v130(constB165, bitIndex2) | v130(constB165, bitIndex1) | (~v130(constB165, bitIndex0))))))),
% 8.31/6.32 inference(monotonicity,[status(thm)],[21586])).
% 8.31/6.32 tff(21588,plain,
% 8.31/6.32 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB165) | v123(constB165) | v122(constB165) | v121(constB165) | v120(constB165) | v119(constB165) | (~(v130(constB165, bitIndex1) | v130(constB165, bitIndex2) | (~v130(constB165, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | v119(constB165) | v120(constB165) | v121(constB165) | v122(constB165) | v123(constB165) | v124(constB165) | (~(v130(constB165, bitIndex2) | v130(constB165, bitIndex1) | (~v130(constB165, bitIndex0)))))),
% 8.31/6.32 inference(transitivity,[status(thm)],[21587, 21582])).
% 8.31/6.32 tff(21589,plain,
% 8.31/6.32 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB165) | v123(constB165) | v122(constB165) | v121(constB165) | v120(constB165) | v119(constB165) | (~(v130(constB165, bitIndex1) | v130(constB165, bitIndex2) | (~v130(constB165, bitIndex0)))))),
% 8.31/6.32 inference(quant_inst,[status(thm)],[])).
% 8.31/6.32 tff(21590,plain,
% 8.31/6.32 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | v119(constB165) | v120(constB165) | v121(constB165) | v122(constB165) | v123(constB165) | v124(constB165) | (~(v130(constB165, bitIndex2) | v130(constB165, bitIndex1) | (~v130(constB165, bitIndex0))))),
% 8.31/6.32 inference(modus_ponens,[status(thm)],[21589, 21588])).
% 8.31/6.32 tff(21591,plain,
% 8.31/6.32 (v119(constB165) | v120(constB165) | v121(constB165) | v122(constB165) | v123(constB165) | v124(constB165) | (~(v130(constB165, bitIndex2) | v130(constB165, bitIndex1) | (~v130(constB165, bitIndex0))))),
% 8.31/6.32 inference(unit_resolution,[status(thm)],[21590, 3694])).
% 8.31/6.32 tff(21592,plain,
% 8.31/6.32 (~(v130(constB165, bitIndex2) | v130(constB165, bitIndex1) | (~v130(constB165, bitIndex0)))),
% 8.31/6.32 inference(unit_resolution,[status(thm)],[21591, 21581, 21575, 21564, 21553, 21542, 21513])).
% 8.31/6.32 tff(21593,plain,
% 8.31/6.32 ((v130(constB165, bitIndex2) | v130(constB165, bitIndex1) | (~v130(constB165, bitIndex0))) | (~v130(constB165, bitIndex2))),
% 8.31/6.32 inference(tautology,[status(thm)],[])).
% 8.31/6.32 tff(21594,plain,
% 8.31/6.32 (~v130(constB165, bitIndex2)),
% 8.31/6.32 inference(unit_resolution,[status(thm)],[21593, 21592])).
% 8.31/6.32 tff(21595,plain,
% 8.31/6.32 (((~v127(constB165, bitIndex2)) <=> v130(constB165, bitIndex2)) | (~v127(constB165, bitIndex2)) | v130(constB165, bitIndex2)),
% 8.31/6.32 inference(tautology,[status(thm)],[])).
% 8.31/6.32 tff(21596,plain,
% 8.31/6.32 (~v127(constB165, bitIndex2)),
% 8.31/6.32 inference(unit_resolution,[status(thm)],[21595, 21594, 15956])).
% 8.31/6.32 tff(21597,plain,
% 8.31/6.32 (((~v129(constB166, bitIndex2)) <=> v127(constB165, bitIndex2)) | (~v129(constB166, bitIndex2)) | v127(constB165, bitIndex2)),
% 8.31/6.32 inference(tautology,[status(thm)],[])).
% 8.31/6.32 tff(21598,plain,
% 8.31/6.32 (~v129(constB166, bitIndex2)),
% 8.31/6.32 inference(unit_resolution,[status(thm)],[21597, 21596, 15942])).
% 8.31/6.32 tff(21599,plain,
% 8.31/6.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB165, constB166)) | (v100(constB166) <=> (~((~v101(constB166)) | (~v110(constB166))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB165, constB166)) | (v100(constB166) <=> (~((~v101(constB166)) | (~v110(constB166))))))),
% 8.31/6.32 inference(rewrite,[status(thm)],[])).
% 8.31/6.32 tff(21600,plain,
% 8.31/6.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB165, constB166)) | (v100(constB166) <=> (~((~v101(constB166)) | (~v110(constB166))))))),
% 8.31/6.32 inference(quant_inst,[status(thm)],[])).
% 8.31/6.32 tff(21601,plain,
% 8.31/6.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB165, constB166)) | (v100(constB166) <=> (~((~v101(constB166)) | (~v110(constB166)))))),
% 8.31/6.32 inference(modus_ponens,[status(thm)],[21600, 21599])).
% 8.31/6.32 tff(21602,plain,
% 8.31/6.32 (v100(constB166) <=> (~((~v101(constB166)) | (~v110(constB166))))),
% 8.31/6.32 inference(unit_resolution,[status(thm)],[21601, 15936, 445])).
% 8.31/6.32 tff(21603,plain,
% 8.31/6.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB165, constB166)) | (v101(constB166) <=> (~((~v1(constB166)) | (~v102(constB166))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB165, constB166)) | (v101(constB166) <=> (~((~v1(constB166)) | (~v102(constB166))))))),
% 8.31/6.32 inference(rewrite,[status(thm)],[])).
% 8.31/6.32 tff(21604,plain,
% 8.31/6.32 (((~nextState(constB165, constB166)) | (v101(constB166) <=> (~((~v102(constB166)) | (~v1(constB166)))))) <=> ((~nextState(constB165, constB166)) | (v101(constB166) <=> (~((~v1(constB166)) | (~v102(constB166))))))),
% 8.31/6.32 inference(rewrite,[status(thm)],[])).
% 8.31/6.32 tff(21605,plain,
% 8.31/6.32 (((~![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) <=> (~((~v1(constB166)) | (~v102(constB166)))))))),
% 8.31/6.32 inference(monotonicity,[status(thm)],[21604])).
% 8.31/6.32 tff(21606,plain,
% 8.31/6.32 (((~![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) <=> (~((~v1(constB166)) | (~v102(constB166))))))),
% 8.31/6.32 inference(transitivity,[status(thm)],[21605, 21603])).
% 8.31/6.32 tff(21607,plain,
% 8.31/6.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB165, constB166)) | (v101(constB166) <=> (~((~v102(constB166)) | (~v1(constB166))))))),
% 8.31/6.32 inference(quant_inst,[status(thm)],[])).
% 8.31/6.32 tff(21608,plain,
% 8.31/6.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB165, constB166)) | (v101(constB166) <=> (~((~v1(constB166)) | (~v102(constB166)))))),
% 8.31/6.32 inference(modus_ponens,[status(thm)],[21607, 21606])).
% 8.31/6.32 tff(21609,plain,
% 8.31/6.32 (v101(constB166) <=> (~((~v1(constB166)) | (~v102(constB166))))),
% 8.31/6.32 inference(unit_resolution,[status(thm)],[21608, 15936, 465])).
% 8.31/6.32 tff(21610,plain,
% 8.31/6.32 (((~![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)))),
% 8.31/6.32 inference(rewrite,[status(thm)],[])).
% 8.31/6.32 tff(21611,plain,
% 8.31/6.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB165, constB166)) | ((~v102(constB166)) <=> v104(constB166)))),
% 8.31/6.32 inference(quant_inst,[status(thm)],[])).
% 8.31/6.32 tff(21612,plain,
% 8.31/6.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB165, constB166)) | ((~v102(constB166)) <=> v104(constB166))),
% 8.31/6.32 inference(modus_ponens,[status(thm)],[21611, 21610])).
% 8.31/6.32 tff(21613,plain,
% 8.31/6.32 ((~v102(constB166)) <=> v104(constB166)),
% 8.31/6.32 inference(unit_resolution,[status(thm)],[21612, 15936, 3244])).
% 8.31/6.32 tff(21614,plain,
% 8.31/6.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB165, constB166)) | (v104(constB166) <=> v1(constB165)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB165, constB166)) | (v104(constB166) <=> v1(constB165)))),
% 8.31/6.32 inference(rewrite,[status(thm)],[])).
% 8.31/6.32 tff(21615,plain,
% 8.31/6.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB165, constB166)) | (v104(constB166) <=> v1(constB165)))),
% 8.31/6.32 inference(quant_inst,[status(thm)],[])).
% 8.31/6.32 tff(21616,plain,
% 8.31/6.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB165, constB166)) | (v104(constB166) <=> v1(constB165))),
% 8.31/6.32 inference(modus_ponens,[status(thm)],[21615, 21614])).
% 8.31/6.32 tff(21617,plain,
% 8.31/6.32 (v104(constB166) <=> v1(constB165)),
% 8.31/6.32 inference(unit_resolution,[status(thm)],[21616, 15936, 3258])).
% 8.31/6.32 tff(21618,plain,
% 8.31/6.32 ((~(v104(constB166) <=> v1(constB165))) | (~v104(constB166)) | v1(constB165)),
% 8.31/6.32 inference(tautology,[status(thm)],[])).
% 8.31/6.32 tff(21619,plain,
% 8.31/6.32 ((~(v104(constB166) <=> v1(constB165))) | (~v104(constB166))),
% 8.31/6.32 inference(unit_resolution,[status(thm)],[21618, 15975])).
% 8.31/6.32 tff(21620,plain,
% 8.31/6.32 (~v104(constB166)),
% 8.31/6.32 inference(unit_resolution,[status(thm)],[21619, 21617])).
% 8.31/6.32 tff(21621,plain,
% 8.31/6.32 ((~((~v102(constB166)) <=> v104(constB166))) | v102(constB166) | v104(constB166)),
% 8.31/6.32 inference(tautology,[status(thm)],[])).
% 8.31/6.32 tff(21622,plain,
% 8.31/6.32 (v102(constB166)),
% 8.31/6.32 inference(unit_resolution,[status(thm)],[21621, 21620, 21613])).
% 8.31/6.32 tff(21623,plain,
% 8.31/6.32 (v1(constB166) <=> v1(constB166)),
% 8.31/6.32 inference(rewrite,[status(thm)],[])).
% 8.31/6.32 tff(21624,axiom,(v1(constB166)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_166')).
% 8.31/6.32 tff(21625,plain,
% 8.31/6.32 (v1(constB166)),
% 8.31/6.32 inference(modus_ponens,[status(thm)],[21624, 21623])).
% 8.31/6.32 tff(21626,plain,
% 8.31/6.32 ((~((~v1(constB166)) | (~v102(constB166)))) | (~v1(constB166)) | (~v102(constB166))),
% 8.31/6.32 inference(tautology,[status(thm)],[])).
% 8.31/6.32 tff(21627,plain,
% 8.31/6.32 ((~((~v1(constB166)) | (~v102(constB166)))) | (~v102(constB166))),
% 8.31/6.32 inference(unit_resolution,[status(thm)],[21626, 21625])).
% 8.31/6.32 tff(21628,plain,
% 8.31/6.32 (~((~v1(constB166)) | (~v102(constB166)))),
% 8.31/6.32 inference(unit_resolution,[status(thm)],[21627, 21622])).
% 8.31/6.32 tff(21629,plain,
% 8.31/6.32 ((~(v101(constB166) <=> (~((~v1(constB166)) | (~v102(constB166)))))) | v101(constB166) | ((~v1(constB166)) | (~v102(constB166)))),
% 8.31/6.32 inference(tautology,[status(thm)],[])).
% 8.31/6.32 tff(21630,plain,
% 8.31/6.32 (v101(constB166)),
% 8.31/6.32 inference(unit_resolution,[status(thm)],[21629, 21628, 21609])).
% 8.31/6.32 tff(21631,plain,
% 8.31/6.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB165, constB166)) | (v110(constB166) <=> v108(constB165)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB165, constB166)) | (v110(constB166) <=> v108(constB165)))),
% 8.31/6.32 inference(rewrite,[status(thm)],[])).
% 8.31/6.32 tff(21632,plain,
% 8.31/6.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB165, constB166)) | (v110(constB166) <=> v108(constB165)))),
% 8.31/6.32 inference(quant_inst,[status(thm)],[])).
% 8.31/6.32 tff(21633,plain,
% 8.31/6.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB165, constB166)) | (v110(constB166) <=> v108(constB165))),
% 8.31/6.32 inference(modus_ponens,[status(thm)],[21632, 21631])).
% 8.31/6.32 tff(21634,plain,
% 8.31/6.32 (v110(constB166) <=> v108(constB165)),
% 8.31/6.32 inference(unit_resolution,[status(thm)],[21633, 15936, 3285])).
% 8.31/6.32 tff(21635,plain,
% 8.31/6.32 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB165) <=> (v111(constB165) | v112(constB165)))),
% 8.31/6.32 inference(quant_inst,[status(thm)],[])).
% 8.31/6.32 tff(21636,plain,
% 8.31/6.32 (v108(constB165) <=> (v111(constB165) | v112(constB165))),
% 8.31/6.32 inference(unit_resolution,[status(thm)],[21635, 3296])).
% 8.31/6.32 tff(21637,plain,
% 8.31/6.32 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB165) <=> (~((~v113(constB165)) | (~v126(constB165)))))),
% 8.31/6.32 inference(quant_inst,[status(thm)],[])).
% 8.31/6.32 tff(21638,plain,
% 8.31/6.32 (v112(constB165) <=> (~((~v113(constB165)) | (~v126(constB165))))),
% 8.31/6.32 inference(unit_resolution,[status(thm)],[21637, 3308])).
% 8.31/6.32 tff(21639,plain,
% 8.31/6.32 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB165) <=> (v114(constB165) | v125(constB165)))),
% 8.31/6.32 inference(quant_inst,[status(thm)],[])).
% 8.31/6.32 tff(21640,plain,
% 8.31/6.32 (v113(constB165) <=> (v114(constB165) | v125(constB165))),
% 8.31/6.32 inference(unit_resolution,[status(thm)],[21639, 3317])).
% 8.31/6.32 tff(21641,plain,
% 8.31/6.32 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB165) <=> (~(v90(constB165, bitIndex0) | (~v90(constB165, bitIndex1)) | (~v90(constB165, bitIndex2)))))),
% 8.31/6.32 inference(quant_inst,[status(thm)],[])).
% 8.31/6.32 tff(21642,plain,
% 8.31/6.32 (v125(constB165) <=> (~(v90(constB165, bitIndex0) | (~v90(constB165, bitIndex1)) | (~v90(constB165, bitIndex2))))),
% 8.31/6.32 inference(unit_resolution,[status(thm)],[21641, 3766])).
% 8.31/6.32 tff(21643,plain,
% 8.31/6.32 ((((~v90(constB165, bitIndex1)) <=> v90(constB164, bitIndex1)) | ((~v90(constB165, bitIndex2)) <=> v90(constB164, bitIndex2)) | ((~v90(constB165, bitIndex0)) <=> v90(constB164, bitIndex0))) | (~((~v90(constB165, bitIndex0)) <=> v90(constB164, bitIndex0)))),
% 8.31/6.32 inference(tautology,[status(thm)],[])).
% 8.31/6.32 tff(21644,plain,
% 8.31/6.32 (~((~v90(constB165, bitIndex0)) <=> v90(constB164, bitIndex0))),
% 8.31/6.32 inference(unit_resolution,[status(thm)],[21643, 15992])).
% 8.31/6.32 tff(21645,plain,
% 8.31/6.32 ((((~v129(constB164, bitIndex2)) <=> v127(constB163, bitIndex2)) | ((~v129(constB164, bitIndex1)) <=> v127(constB163, bitIndex1)) | ((~v129(constB164, bitIndex0)) <=> v127(constB163, bitIndex0))) | (~((~v129(constB164, bitIndex0)) <=> v127(constB163, bitIndex0)))),
% 8.31/6.32 inference(tautology,[status(thm)],[])).
% 8.31/6.32 tff(21646,plain,
% 8.31/6.32 (~((~v129(constB164, bitIndex0)) <=> v127(constB163, bitIndex0))),
% 8.31/6.32 inference(unit_resolution,[status(thm)],[21645, 16001])).
% 8.31/6.32 tff(21647,plain,
% 8.31/6.32 ((((~v127(constB163, bitIndex2)) <=> v130(constB163, bitIndex2)) | ((~v127(constB163, bitIndex1)) <=> v130(constB163, bitIndex1)) | ((~v127(constB163, bitIndex0)) <=> v130(constB163, bitIndex0))) | (~((~v127(constB163, bitIndex0)) <=> v130(constB163, bitIndex0)))),
% 8.31/6.32 inference(tautology,[status(thm)],[])).
% 8.31/6.32 tff(21648,plain,
% 8.31/6.32 (~((~v127(constB163, bitIndex0)) <=> v130(constB163, bitIndex0))),
% 8.31/6.32 inference(unit_resolution,[status(thm)],[21647, 16015])).
% 8.31/6.32 tff(21649,plain,
% 8.31/6.32 ((v130(constB163, bitIndex0) | (~v130(constB163, bitIndex2)) | (~v130(constB163, bitIndex1))) | (~v130(constB163, bitIndex0))),
% 8.31/6.32 inference(tautology,[status(thm)],[])).
% 8.31/6.32 tff(21650,plain,
% 8.31/6.32 (~v130(constB163, bitIndex0)),
% 8.31/6.32 inference(unit_resolution,[status(thm)],[21649, 21414])).
% 8.31/6.32 tff(21651,plain,
% 8.31/6.32 (((~v127(constB163, bitIndex0)) <=> v130(constB163, bitIndex0)) | (~v127(constB163, bitIndex0)) | v130(constB163, bitIndex0)),
% 8.31/6.32 inference(tautology,[status(thm)],[])).
% 8.31/6.32 tff(21652,plain,
% 8.31/6.32 (~v127(constB163, bitIndex0)),
% 8.31/6.32 inference(unit_resolution,[status(thm)],[21651, 21650, 21648])).
% 8.31/6.32 tff(21653,plain,
% 8.31/6.32 (((~v129(constB164, bitIndex0)) <=> v127(constB163, bitIndex0)) | (~v129(constB164, bitIndex0)) | v127(constB163, bitIndex0)),
% 8.31/6.32 inference(tautology,[status(thm)],[])).
% 8.31/6.32 tff(21654,plain,
% 8.31/6.32 (~v129(constB164, bitIndex0)),
% 8.31/6.32 inference(unit_resolution,[status(thm)],[21653, 21652, 21646])).
% 8.31/6.32 tff(21655,plain,
% 8.31/6.32 ((((~v90(constB164, bitIndex2)) <=> v129(constB164, bitIndex2)) | ((~v90(constB164, bitIndex1)) <=> v129(constB164, bitIndex1)) | ((~v90(constB164, bitIndex0)) <=> v129(constB164, bitIndex0))) | (~((~v90(constB164, bitIndex0)) <=> v129(constB164, bitIndex0)))),
% 8.31/6.32 inference(tautology,[status(thm)],[])).
% 8.31/6.32 tff(21656,plain,
% 8.31/6.32 (~((~v90(constB164, bitIndex0)) <=> v129(constB164, bitIndex0))),
% 8.31/6.32 inference(unit_resolution,[status(thm)],[21655, 21503])).
% 8.31/6.32 tff(21657,plain,
% 8.31/6.32 (((~v90(constB164, bitIndex0)) <=> v129(constB164, bitIndex0)) | (~v90(constB164, bitIndex0)) | v129(constB164, bitIndex0)),
% 8.31/6.32 inference(tautology,[status(thm)],[])).
% 8.31/6.32 tff(21658,plain,
% 8.31/6.32 (~v90(constB164, bitIndex0)),
% 8.31/6.32 inference(unit_resolution,[status(thm)],[21657, 21656, 21654])).
% 8.31/6.32 tff(21659,plain,
% 8.31/6.32 (((~v90(constB165, bitIndex0)) <=> v90(constB164, bitIndex0)) | (~v90(constB165, bitIndex0)) | v90(constB164, bitIndex0)),
% 8.31/6.32 inference(tautology,[status(thm)],[])).
% 8.31/6.32 tff(21660,plain,
% 8.31/6.32 (~v90(constB165, bitIndex0)),
% 8.31/6.32 inference(unit_resolution,[status(thm)],[21659, 21658, 21644])).
% 8.31/6.32 tff(21661,plain,
% 8.31/6.32 ((~(v90(constB165, bitIndex0) | (~v90(constB165, bitIndex1)) | (~v90(constB165, bitIndex2)))) | v90(constB165, bitIndex0) | (~v90(constB165, bitIndex1)) | (~v90(constB165, bitIndex2))),
% 8.31/6.32 inference(tautology,[status(thm)],[])).
% 8.31/6.32 tff(21662,plain,
% 8.31/6.32 (~(v90(constB165, bitIndex0) | (~v90(constB165, bitIndex1)) | (~v90(constB165, bitIndex2)))),
% 8.41/6.32 inference(unit_resolution,[status(thm)],[21661, 21538, 21660, 21509])).
% 8.41/6.32 tff(21663,plain,
% 8.41/6.32 ((~(v125(constB165) <=> (~(v90(constB165, bitIndex0) | (~v90(constB165, bitIndex1)) | (~v90(constB165, bitIndex2)))))) | v125(constB165) | (v90(constB165, bitIndex0) | (~v90(constB165, bitIndex1)) | (~v90(constB165, bitIndex2)))),
% 8.41/6.32 inference(tautology,[status(thm)],[])).
% 8.41/6.32 tff(21664,plain,
% 8.41/6.32 (v125(constB165)),
% 8.41/6.32 inference(unit_resolution,[status(thm)],[21663, 21662, 21642])).
% 8.41/6.32 tff(21665,plain,
% 8.41/6.32 ((v114(constB165) | v125(constB165)) | (~v125(constB165))),
% 8.41/6.32 inference(tautology,[status(thm)],[])).
% 8.41/6.32 tff(21666,plain,
% 8.41/6.32 (v114(constB165) | v125(constB165)),
% 8.41/6.32 inference(unit_resolution,[status(thm)],[21665, 21664])).
% 8.41/6.32 tff(21667,plain,
% 8.41/6.32 ((~(v113(constB165) <=> (v114(constB165) | v125(constB165)))) | v113(constB165) | (~(v114(constB165) | v125(constB165)))),
% 8.41/6.32 inference(tautology,[status(thm)],[])).
% 8.41/6.32 tff(21668,plain,
% 8.41/6.32 (v113(constB165)),
% 8.41/6.32 inference(unit_resolution,[status(thm)],[21667, 21666, 21640])).
% 8.41/6.32 tff(21669,plain,
% 8.41/6.32 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB165)) <=> v111(constB165))),
% 8.41/6.32 inference(quant_inst,[status(thm)],[])).
% 8.41/6.32 tff(21670,plain,
% 8.41/6.32 ((~v126(constB165)) <=> v111(constB165)),
% 8.41/6.32 inference(unit_resolution,[status(thm)],[21669, 3396])).
% 8.41/6.32 tff(21671,plain,
% 8.41/6.32 ((~((~v126(constB165)) <=> v111(constB165))) | v126(constB165) | v111(constB165)),
% 8.41/6.32 inference(tautology,[status(thm)],[])).
% 8.41/6.32 tff(21672,plain,
% 8.41/6.32 ((~((~v126(constB165)) <=> v111(constB165))) | v126(constB165)),
% 8.41/6.32 inference(unit_resolution,[status(thm)],[21671, 15949])).
% 8.41/6.32 tff(21673,plain,
% 8.41/6.32 (v126(constB165)),
% 8.41/6.32 inference(unit_resolution,[status(thm)],[21672, 21670])).
% 8.41/6.32 tff(21674,plain,
% 8.41/6.32 ((~((~v113(constB165)) | (~v126(constB165)))) | (~v113(constB165)) | (~v126(constB165))),
% 8.41/6.32 inference(tautology,[status(thm)],[])).
% 8.41/6.32 tff(21675,plain,
% 8.41/6.32 ((~((~v113(constB165)) | (~v126(constB165)))) | (~v113(constB165))),
% 8.41/6.32 inference(unit_resolution,[status(thm)],[21674, 21673])).
% 8.41/6.32 tff(21676,plain,
% 8.41/6.32 (~((~v113(constB165)) | (~v126(constB165)))),
% 8.41/6.32 inference(unit_resolution,[status(thm)],[21675, 21668])).
% 8.41/6.32 tff(21677,plain,
% 8.41/6.32 ((~(v112(constB165) <=> (~((~v113(constB165)) | (~v126(constB165)))))) | v112(constB165) | ((~v113(constB165)) | (~v126(constB165)))),
% 8.41/6.32 inference(tautology,[status(thm)],[])).
% 8.41/6.32 tff(21678,plain,
% 8.41/6.32 (v112(constB165)),
% 8.41/6.32 inference(unit_resolution,[status(thm)],[21677, 21676, 21638])).
% 8.41/6.32 tff(21679,plain,
% 8.41/6.32 ((v111(constB165) | v112(constB165)) | (~v112(constB165))),
% 8.41/6.32 inference(tautology,[status(thm)],[])).
% 8.41/6.32 tff(21680,plain,
% 8.41/6.32 (v111(constB165) | v112(constB165)),
% 8.41/6.32 inference(unit_resolution,[status(thm)],[21679, 21678])).
% 8.41/6.32 tff(21681,plain,
% 8.41/6.32 ((~(v108(constB165) <=> (v111(constB165) | v112(constB165)))) | v108(constB165) | (~(v111(constB165) | v112(constB165)))),
% 8.41/6.32 inference(tautology,[status(thm)],[])).
% 8.41/6.32 tff(21682,plain,
% 8.41/6.32 (v108(constB165)),
% 8.41/6.32 inference(unit_resolution,[status(thm)],[21681, 21680, 21636])).
% 8.41/6.32 tff(21683,plain,
% 8.41/6.32 ((~(v110(constB166) <=> v108(constB165))) | v110(constB166) | (~v108(constB165))),
% 8.41/6.32 inference(tautology,[status(thm)],[])).
% 8.41/6.32 tff(21684,plain,
% 8.41/6.32 (v110(constB166)),
% 8.41/6.32 inference(unit_resolution,[status(thm)],[21683, 21682, 21634])).
% 8.41/6.32 tff(21685,plain,
% 8.41/6.32 ((~((~v101(constB166)) | (~v110(constB166)))) | (~v101(constB166)) | (~v110(constB166))),
% 8.41/6.32 inference(tautology,[status(thm)],[])).
% 8.41/6.32 tff(21686,plain,
% 8.41/6.32 (~((~v101(constB166)) | (~v110(constB166)))),
% 8.41/6.32 inference(unit_resolution,[status(thm)],[21685, 21684, 21630])).
% 8.41/6.32 tff(21687,plain,
% 8.41/6.32 ((~(v100(constB166) <=> (~((~v101(constB166)) | (~v110(constB166)))))) | v100(constB166) | ((~v101(constB166)) | (~v110(constB166)))),
% 8.41/6.32 inference(tautology,[status(thm)],[])).
% 8.41/6.32 tff(21688,plain,
% 8.41/6.32 (v100(constB166)),
% 8.41/6.32 inference(unit_resolution,[status(thm)],[21687, 21686, 21602])).
% 8.41/6.32 tff(21689,plain,
% 8.41/6.32 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB166)) | (~(((~v90(constB166, bitIndex0)) <=> v129(constB166, bitIndex0)) | ((~v90(constB166, bitIndex2)) <=> v129(constB166, bitIndex2)) | ((~v90(constB166, bitIndex1)) <=> v129(constB166, bitIndex1)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB166)) | (~(((~v90(constB166, bitIndex0)) <=> v129(constB166, bitIndex0)) | ((~v90(constB166, bitIndex2)) <=> v129(constB166, bitIndex2)) | ((~v90(constB166, bitIndex1)) <=> v129(constB166, bitIndex1)))))),
% 8.41/6.32 inference(rewrite,[status(thm)],[])).
% 8.41/6.32 tff(21690,plain,
% 8.41/6.32 (((~v100(constB166)) | (~(((~v90(constB166, bitIndex2)) <=> v129(constB166, bitIndex2)) | ((~v90(constB166, bitIndex1)) <=> v129(constB166, bitIndex1)) | ((~v90(constB166, bitIndex0)) <=> v129(constB166, bitIndex0))))) <=> ((~v100(constB166)) | (~(((~v90(constB166, bitIndex0)) <=> v129(constB166, bitIndex0)) | ((~v90(constB166, bitIndex2)) <=> v129(constB166, bitIndex2)) | ((~v90(constB166, bitIndex1)) <=> v129(constB166, bitIndex1)))))),
% 8.41/6.32 inference(rewrite,[status(thm)],[])).
% 8.41/6.32 tff(21691,plain,
% 8.41/6.32 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB166)) | (~(((~v90(constB166, bitIndex2)) <=> v129(constB166, bitIndex2)) | ((~v90(constB166, bitIndex1)) <=> v129(constB166, bitIndex1)) | ((~v90(constB166, bitIndex0)) <=> v129(constB166, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB166)) | (~(((~v90(constB166, bitIndex0)) <=> v129(constB166, bitIndex0)) | ((~v90(constB166, bitIndex2)) <=> v129(constB166, bitIndex2)) | ((~v90(constB166, bitIndex1)) <=> v129(constB166, bitIndex1))))))),
% 8.41/6.32 inference(monotonicity,[status(thm)],[21690])).
% 8.41/6.32 tff(21692,plain,
% 8.41/6.32 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB166)) | (~(((~v90(constB166, bitIndex2)) <=> v129(constB166, bitIndex2)) | ((~v90(constB166, bitIndex1)) <=> v129(constB166, bitIndex1)) | ((~v90(constB166, bitIndex0)) <=> v129(constB166, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB166)) | (~(((~v90(constB166, bitIndex0)) <=> v129(constB166, bitIndex0)) | ((~v90(constB166, bitIndex2)) <=> v129(constB166, bitIndex2)) | ((~v90(constB166, bitIndex1)) <=> v129(constB166, bitIndex1)))))),
% 8.41/6.32 inference(transitivity,[status(thm)],[21691, 21689])).
% 8.41/6.32 tff(21693,plain,
% 8.41/6.32 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB166)) | (~(((~v90(constB166, bitIndex2)) <=> v129(constB166, bitIndex2)) | ((~v90(constB166, bitIndex1)) <=> v129(constB166, bitIndex1)) | ((~v90(constB166, bitIndex0)) <=> v129(constB166, bitIndex0)))))),
% 8.41/6.32 inference(quant_inst,[status(thm)],[])).
% 8.41/6.32 tff(21694,plain,
% 8.41/6.32 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB166)) | (~(((~v90(constB166, bitIndex0)) <=> v129(constB166, bitIndex0)) | ((~v90(constB166, bitIndex2)) <=> v129(constB166, bitIndex2)) | ((~v90(constB166, bitIndex1)) <=> v129(constB166, bitIndex1))))),
% 8.41/6.33 inference(modus_ponens,[status(thm)],[21693, 21692])).
% 8.41/6.33 tff(21695,plain,
% 8.41/6.33 ((~v100(constB166)) | (~(((~v90(constB166, bitIndex0)) <=> v129(constB166, bitIndex0)) | ((~v90(constB166, bitIndex2)) <=> v129(constB166, bitIndex2)) | ((~v90(constB166, bitIndex1)) <=> v129(constB166, bitIndex1))))),
% 8.41/6.33 inference(unit_resolution,[status(thm)],[21694, 3429])).
% 8.41/6.33 tff(21696,plain,
% 8.41/6.33 (~(((~v90(constB166, bitIndex0)) <=> v129(constB166, bitIndex0)) | ((~v90(constB166, bitIndex2)) <=> v129(constB166, bitIndex2)) | ((~v90(constB166, bitIndex1)) <=> v129(constB166, bitIndex1)))),
% 8.41/6.33 inference(unit_resolution,[status(thm)],[21695, 21688])).
% 8.41/6.33 tff(21697,plain,
% 8.41/6.33 ((((~v90(constB166, bitIndex0)) <=> v129(constB166, bitIndex0)) | ((~v90(constB166, bitIndex2)) <=> v129(constB166, bitIndex2)) | ((~v90(constB166, bitIndex1)) <=> v129(constB166, bitIndex1))) | (~((~v90(constB166, bitIndex2)) <=> v129(constB166, bitIndex2)))),
% 8.41/6.33 inference(tautology,[status(thm)],[])).
% 8.41/6.33 tff(21698,plain,
% 8.41/6.33 (~((~v90(constB166, bitIndex2)) <=> v129(constB166, bitIndex2))),
% 8.41/6.33 inference(unit_resolution,[status(thm)],[21697, 21696])).
% 8.41/6.33 tff(21699,plain,
% 8.41/6.33 (((~v90(constB166, bitIndex2)) <=> v129(constB166, bitIndex2)) | (~v90(constB166, bitIndex2)) | v129(constB166, bitIndex2)),
% 8.41/6.33 inference(tautology,[status(thm)],[])).
% 8.41/6.33 tff(21700,plain,
% 8.41/6.33 (~v90(constB166, bitIndex2)),
% 8.41/6.33 inference(unit_resolution,[status(thm)],[21699, 21698, 21598])).
% 8.41/6.33 tff(21701,plain,
% 8.41/6.33 (((~v90(constB167, bitIndex2)) <=> v90(constB166, bitIndex2)) | (~v90(constB167, bitIndex2)) | v90(constB166, bitIndex2)),
% 8.41/6.33 inference(tautology,[status(thm)],[])).
% 8.41/6.33 tff(21702,plain,
% 8.41/6.33 (~v90(constB167, bitIndex2)),
% 8.41/6.33 inference(unit_resolution,[status(thm)],[21701, 21700, 15933])).
% 8.41/6.33 tff(21703,plain,
% 8.41/6.33 ((((~v90(constB167, bitIndex1)) <=> v90(constB166, bitIndex1)) | ((~v90(constB167, bitIndex2)) <=> v90(constB166, bitIndex2)) | ((~v90(constB167, bitIndex0)) <=> v90(constB166, bitIndex0))) | (~((~v90(constB167, bitIndex0)) <=> v90(constB166, bitIndex0)))),
% 8.41/6.33 inference(tautology,[status(thm)],[])).
% 8.41/6.33 tff(21704,plain,
% 8.41/6.33 (~((~v90(constB167, bitIndex0)) <=> v90(constB166, bitIndex0))),
% 8.41/6.33 inference(unit_resolution,[status(thm)],[21703, 15931])).
% 8.41/6.33 tff(21705,plain,
% 8.41/6.33 ((((~v129(constB166, bitIndex2)) <=> v127(constB165, bitIndex2)) | ((~v129(constB166, bitIndex1)) <=> v127(constB165, bitIndex1)) | ((~v129(constB166, bitIndex0)) <=> v127(constB165, bitIndex0))) | (~((~v129(constB166, bitIndex0)) <=> v127(constB165, bitIndex0)))),
% 8.41/6.33 inference(tautology,[status(thm)],[])).
% 8.41/6.33 tff(21706,plain,
% 8.41/6.33 (~((~v129(constB166, bitIndex0)) <=> v127(constB165, bitIndex0))),
% 8.41/6.33 inference(unit_resolution,[status(thm)],[21705, 15940])).
% 8.41/6.33 tff(21707,plain,
% 8.41/6.33 ((((~v127(constB165, bitIndex2)) <=> v130(constB165, bitIndex2)) | ((~v127(constB165, bitIndex1)) <=> v130(constB165, bitIndex1)) | ((~v127(constB165, bitIndex0)) <=> v130(constB165, bitIndex0))) | (~((~v127(constB165, bitIndex0)) <=> v130(constB165, bitIndex0)))),
% 8.41/6.33 inference(tautology,[status(thm)],[])).
% 8.41/6.33 tff(21708,plain,
% 8.41/6.33 (~((~v127(constB165, bitIndex0)) <=> v130(constB165, bitIndex0))),
% 8.41/6.33 inference(unit_resolution,[status(thm)],[21707, 15954])).
% 8.41/6.33 tff(21709,plain,
% 8.41/6.33 ((v130(constB165, bitIndex2) | v130(constB165, bitIndex1) | (~v130(constB165, bitIndex0))) | v130(constB165, bitIndex0)),
% 8.41/6.33 inference(tautology,[status(thm)],[])).
% 8.41/6.33 tff(21710,plain,
% 8.41/6.33 (v130(constB165, bitIndex0)),
% 8.41/6.33 inference(unit_resolution,[status(thm)],[21709, 21592])).
% 8.41/6.33 tff(21711,plain,
% 8.41/6.33 (((~v127(constB165, bitIndex0)) <=> v130(constB165, bitIndex0)) | v127(constB165, bitIndex0) | (~v130(constB165, bitIndex0))),
% 8.41/6.33 inference(tautology,[status(thm)],[])).
% 8.41/6.33 tff(21712,plain,
% 8.41/6.33 (v127(constB165, bitIndex0)),
% 8.41/6.33 inference(unit_resolution,[status(thm)],[21711, 21710, 21708])).
% 8.41/6.33 tff(21713,plain,
% 8.41/6.33 (((~v129(constB166, bitIndex0)) <=> v127(constB165, bitIndex0)) | v129(constB166, bitIndex0) | (~v127(constB165, bitIndex0))),
% 8.41/6.33 inference(tautology,[status(thm)],[])).
% 8.41/6.33 tff(21714,plain,
% 8.41/6.33 (v129(constB166, bitIndex0)),
% 8.41/6.33 inference(unit_resolution,[status(thm)],[21713, 21712, 21706])).
% 8.41/6.33 tff(21715,plain,
% 8.41/6.33 ((((~v90(constB166, bitIndex0)) <=> v129(constB166, bitIndex0)) | ((~v90(constB166, bitIndex2)) <=> v129(constB166, bitIndex2)) | ((~v90(constB166, bitIndex1)) <=> v129(constB166, bitIndex1))) | (~((~v90(constB166, bitIndex0)) <=> v129(constB166, bitIndex0)))),
% 8.41/6.33 inference(tautology,[status(thm)],[])).
% 8.41/6.33 tff(21716,plain,
% 8.41/6.33 (~((~v90(constB166, bitIndex0)) <=> v129(constB166, bitIndex0))),
% 8.41/6.33 inference(unit_resolution,[status(thm)],[21715, 21696])).
% 8.41/6.33 tff(21717,plain,
% 8.41/6.33 (((~v90(constB166, bitIndex0)) <=> v129(constB166, bitIndex0)) | v90(constB166, bitIndex0) | (~v129(constB166, bitIndex0))),
% 8.41/6.33 inference(tautology,[status(thm)],[])).
% 8.41/6.33 tff(21718,plain,
% 8.41/6.33 (v90(constB166, bitIndex0)),
% 8.41/6.33 inference(unit_resolution,[status(thm)],[21717, 21716, 21714])).
% 8.41/6.33 tff(21719,plain,
% 8.41/6.33 (((~v90(constB167, bitIndex0)) <=> v90(constB166, bitIndex0)) | v90(constB167, bitIndex0) | (~v90(constB166, bitIndex0))),
% 8.41/6.33 inference(tautology,[status(thm)],[])).
% 8.41/6.33 tff(21720,plain,
% 8.41/6.33 (v90(constB167, bitIndex0)),
% 8.41/6.33 inference(unit_resolution,[status(thm)],[21719, 21718, 21704])).
% 8.41/6.33 tff(21721,plain,
% 8.41/6.33 ((((~v90(constB167, bitIndex1)) <=> v90(constB166, bitIndex1)) | ((~v90(constB167, bitIndex2)) <=> v90(constB166, bitIndex2)) | ((~v90(constB167, bitIndex0)) <=> v90(constB166, bitIndex0))) | (~((~v90(constB167, bitIndex1)) <=> v90(constB166, bitIndex1)))),
% 8.41/6.33 inference(tautology,[status(thm)],[])).
% 8.41/6.33 tff(21722,plain,
% 8.41/6.33 (~((~v90(constB167, bitIndex1)) <=> v90(constB166, bitIndex1))),
% 8.41/6.33 inference(unit_resolution,[status(thm)],[21721, 15931])).
% 8.41/6.33 tff(21723,plain,
% 8.41/6.33 ((((~v129(constB166, bitIndex2)) <=> v127(constB165, bitIndex2)) | ((~v129(constB166, bitIndex1)) <=> v127(constB165, bitIndex1)) | ((~v129(constB166, bitIndex0)) <=> v127(constB165, bitIndex0))) | (~((~v129(constB166, bitIndex1)) <=> v127(constB165, bitIndex1)))),
% 8.41/6.33 inference(tautology,[status(thm)],[])).
% 8.41/6.33 tff(21724,plain,
% 8.41/6.33 (~((~v129(constB166, bitIndex1)) <=> v127(constB165, bitIndex1))),
% 8.41/6.33 inference(unit_resolution,[status(thm)],[21723, 15940])).
% 8.41/6.33 tff(21725,plain,
% 8.41/6.33 ((((~v127(constB165, bitIndex2)) <=> v130(constB165, bitIndex2)) | ((~v127(constB165, bitIndex1)) <=> v130(constB165, bitIndex1)) | ((~v127(constB165, bitIndex0)) <=> v130(constB165, bitIndex0))) | (~((~v127(constB165, bitIndex1)) <=> v130(constB165, bitIndex1)))),
% 8.41/6.33 inference(tautology,[status(thm)],[])).
% 8.41/6.33 tff(21726,plain,
% 8.41/6.33 (~((~v127(constB165, bitIndex1)) <=> v130(constB165, bitIndex1))),
% 8.41/6.33 inference(unit_resolution,[status(thm)],[21725, 15954])).
% 8.41/6.33 tff(21727,plain,
% 8.41/6.33 ((v130(constB165, bitIndex2) | v130(constB165, bitIndex1) | (~v130(constB165, bitIndex0))) | (~v130(constB165, bitIndex1))),
% 8.41/6.33 inference(tautology,[status(thm)],[])).
% 8.41/6.33 tff(21728,plain,
% 8.41/6.33 (~v130(constB165, bitIndex1)),
% 8.41/6.33 inference(unit_resolution,[status(thm)],[21727, 21592])).
% 8.41/6.33 tff(21729,plain,
% 8.41/6.33 (((~v127(constB165, bitIndex1)) <=> v130(constB165, bitIndex1)) | (~v127(constB165, bitIndex1)) | v130(constB165, bitIndex1)),
% 8.41/6.33 inference(tautology,[status(thm)],[])).
% 8.41/6.33 tff(21730,plain,
% 8.41/6.33 (~v127(constB165, bitIndex1)),
% 8.41/6.33 inference(unit_resolution,[status(thm)],[21729, 21728, 21726])).
% 8.41/6.33 tff(21731,plain,
% 8.41/6.33 (((~v129(constB166, bitIndex1)) <=> v127(constB165, bitIndex1)) | (~v129(constB166, bitIndex1)) | v127(constB165, bitIndex1)),
% 8.41/6.33 inference(tautology,[status(thm)],[])).
% 8.41/6.33 tff(21732,plain,
% 8.41/6.33 (~v129(constB166, bitIndex1)),
% 8.41/6.33 inference(unit_resolution,[status(thm)],[21731, 21730, 21724])).
% 8.41/6.33 tff(21733,plain,
% 8.41/6.33 ((((~v90(constB166, bitIndex0)) <=> v129(constB166, bitIndex0)) | ((~v90(constB166, bitIndex2)) <=> v129(constB166, bitIndex2)) | ((~v90(constB166, bitIndex1)) <=> v129(constB166, bitIndex1))) | (~((~v90(constB166, bitIndex1)) <=> v129(constB166, bitIndex1)))),
% 8.41/6.33 inference(tautology,[status(thm)],[])).
% 8.41/6.33 tff(21734,plain,
% 8.41/6.33 (~((~v90(constB166, bitIndex1)) <=> v129(constB166, bitIndex1))),
% 8.41/6.33 inference(unit_resolution,[status(thm)],[21733, 21696])).
% 8.41/6.33 tff(21735,plain,
% 8.41/6.33 (((~v90(constB166, bitIndex1)) <=> v129(constB166, bitIndex1)) | (~v90(constB166, bitIndex1)) | v129(constB166, bitIndex1)),
% 8.41/6.33 inference(tautology,[status(thm)],[])).
% 8.41/6.33 tff(21736,plain,
% 8.41/6.33 (~v90(constB166, bitIndex1)),
% 8.41/6.33 inference(unit_resolution,[status(thm)],[21735, 21734, 21732])).
% 8.41/6.33 tff(21737,plain,
% 8.41/6.33 (((~v90(constB167, bitIndex1)) <=> v90(constB166, bitIndex1)) | (~v90(constB167, bitIndex1)) | v90(constB166, bitIndex1)),
% 8.41/6.33 inference(tautology,[status(thm)],[])).
% 8.41/6.33 tff(21738,plain,
% 8.41/6.33 (~v90(constB167, bitIndex1)),
% 8.41/6.33 inference(unit_resolution,[status(thm)],[21737, 21736, 21722])).
% 8.41/6.33 tff(21739,plain,
% 8.41/6.33 ((~(v90(constB167, bitIndex1) | v90(constB167, bitIndex2) | (~v90(constB167, bitIndex0)))) | v90(constB167, bitIndex1) | v90(constB167, bitIndex2) | (~v90(constB167, bitIndex0))),
% 8.41/6.33 inference(tautology,[status(thm)],[])).
% 8.41/6.33 tff(21740,plain,
% 8.41/6.33 (~(v90(constB167, bitIndex1) | v90(constB167, bitIndex2) | (~v90(constB167, bitIndex0)))),
% 8.41/6.33 inference(unit_resolution,[status(thm)],[21739, 21738, 21720, 21702])).
% 8.41/6.33 tff(21741,plain,
% 8.41/6.33 ((~(v120(constB167) <=> (~(v90(constB167, bitIndex1) | v90(constB167, bitIndex2) | (~v90(constB167, bitIndex0)))))) | v120(constB167) | (v90(constB167, bitIndex1) | v90(constB167, bitIndex2) | (~v90(constB167, bitIndex0)))),
% 8.41/6.33 inference(tautology,[status(thm)],[])).
% 8.41/6.33 tff(21742,plain,
% 8.41/6.33 (v120(constB167)),
% 8.41/6.33 inference(unit_resolution,[status(thm)],[21741, 21740, 15897])).
% 8.41/6.33 tff(21743,plain,
% 8.41/6.33 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB167)) | (~(v130(constB167, bitIndex2) | v130(constB167, bitIndex0) | (~v130(constB167, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB167)) | (~(v130(constB167, bitIndex2) | v130(constB167, bitIndex0) | (~v130(constB167, bitIndex1)))))),
% 8.41/6.33 inference(rewrite,[status(thm)],[])).
% 8.41/6.33 tff(21744,plain,
% 8.41/6.33 (((~v120(constB167)) | (~(v130(constB167, bitIndex0) | v130(constB167, bitIndex2) | (~v130(constB167, bitIndex1))))) <=> ((~v120(constB167)) | (~(v130(constB167, bitIndex2) | v130(constB167, bitIndex0) | (~v130(constB167, bitIndex1)))))),
% 8.41/6.33 inference(rewrite,[status(thm)],[])).
% 8.41/6.33 tff(21745,plain,
% 8.41/6.33 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB167)) | (~(v130(constB167, bitIndex0) | v130(constB167, bitIndex2) | (~v130(constB167, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB167)) | (~(v130(constB167, bitIndex2) | v130(constB167, bitIndex0) | (~v130(constB167, bitIndex1))))))),
% 8.41/6.33 inference(monotonicity,[status(thm)],[21744])).
% 8.41/6.33 tff(21746,plain,
% 8.41/6.33 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB167)) | (~(v130(constB167, bitIndex0) | v130(constB167, bitIndex2) | (~v130(constB167, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB167)) | (~(v130(constB167, bitIndex2) | v130(constB167, bitIndex0) | (~v130(constB167, bitIndex1)))))),
% 8.41/6.33 inference(transitivity,[status(thm)],[21745, 21743])).
% 8.41/6.33 tff(21747,plain,
% 8.41/6.33 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB167)) | (~(v130(constB167, bitIndex0) | v130(constB167, bitIndex2) | (~v130(constB167, bitIndex1)))))),
% 8.41/6.33 inference(quant_inst,[status(thm)],[])).
% 8.41/6.33 tff(21748,plain,
% 8.41/6.33 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB167)) | (~(v130(constB167, bitIndex2) | v130(constB167, bitIndex0) | (~v130(constB167, bitIndex1))))),
% 8.41/6.33 inference(modus_ponens,[status(thm)],[21747, 21746])).
% 8.41/6.33 tff(21749,plain,
% 8.41/6.33 ((~v120(constB167)) | (~(v130(constB167, bitIndex2) | v130(constB167, bitIndex0) | (~v130(constB167, bitIndex1))))),
% 8.41/6.33 inference(unit_resolution,[status(thm)],[21748, 3881])).
% 8.41/6.33 tff(21750,plain,
% 8.41/6.33 (~(v130(constB167, bitIndex2) | v130(constB167, bitIndex0) | (~v130(constB167, bitIndex1)))),
% 8.41/6.33 inference(unit_resolution,[status(thm)],[21749, 21742])).
% 8.41/6.33 tff(21751,plain,
% 8.41/6.33 ((v130(constB167, bitIndex2) | v130(constB167, bitIndex0) | (~v130(constB167, bitIndex1))) | (~v130(constB167, bitIndex2))),
% 8.41/6.33 inference(tautology,[status(thm)],[])).
% 8.41/6.33 tff(21752,plain,
% 8.41/6.33 (~v130(constB167, bitIndex2)),
% 8.41/6.33 inference(unit_resolution,[status(thm)],[21751, 21750])).
% 8.41/6.33 tff(21753,plain,
% 8.41/6.33 (((~v127(constB167, bitIndex2)) <=> v130(constB167, bitIndex2)) | (~v127(constB167, bitIndex2)) | v130(constB167, bitIndex2)),
% 8.41/6.33 inference(tautology,[status(thm)],[])).
% 8.41/6.33 tff(21754,plain,
% 8.41/6.33 (~v127(constB167, bitIndex2)),
% 8.41/6.33 inference(unit_resolution,[status(thm)],[21753, 21752, 15895])).
% 8.41/6.33 tff(21755,plain,
% 8.41/6.33 (((~v129(constB168, bitIndex2)) <=> v127(constB167, bitIndex2)) | (~v129(constB168, bitIndex2)) | v127(constB167, bitIndex2)),
% 8.41/6.33 inference(tautology,[status(thm)],[])).
% 8.41/6.33 tff(21756,plain,
% 8.41/6.33 (~v129(constB168, bitIndex2)),
% 8.41/6.33 inference(unit_resolution,[status(thm)],[21755, 21754, 15881])).
% 8.41/6.33 tff(21757,plain,
% 8.41/6.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB167, constB168)) | (v100(constB168) <=> (~((~v101(constB168)) | (~v110(constB168))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB167, constB168)) | (v100(constB168) <=> (~((~v101(constB168)) | (~v110(constB168))))))),
% 8.41/6.33 inference(rewrite,[status(thm)],[])).
% 8.41/6.33 tff(21758,plain,
% 8.41/6.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB167, constB168)) | (v100(constB168) <=> (~((~v101(constB168)) | (~v110(constB168))))))),
% 8.41/6.33 inference(quant_inst,[status(thm)],[])).
% 8.41/6.33 tff(21759,plain,
% 8.41/6.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB167, constB168)) | (v100(constB168) <=> (~((~v101(constB168)) | (~v110(constB168)))))),
% 8.41/6.33 inference(modus_ponens,[status(thm)],[21758, 21757])).
% 8.41/6.33 tff(21760,plain,
% 8.41/6.33 (v100(constB168) <=> (~((~v101(constB168)) | (~v110(constB168))))),
% 8.41/6.33 inference(unit_resolution,[status(thm)],[21759, 15875, 445])).
% 8.41/6.33 tff(21761,plain,
% 8.41/6.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB167, constB168)) | (v101(constB168) <=> (~((~v1(constB168)) | (~v102(constB168))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB167, constB168)) | (v101(constB168) <=> (~((~v1(constB168)) | (~v102(constB168))))))),
% 8.41/6.33 inference(rewrite,[status(thm)],[])).
% 8.41/6.33 tff(21762,plain,
% 8.41/6.33 (((~nextState(constB167, constB168)) | (v101(constB168) <=> (~((~v102(constB168)) | (~v1(constB168)))))) <=> ((~nextState(constB167, constB168)) | (v101(constB168) <=> (~((~v1(constB168)) | (~v102(constB168))))))),
% 8.41/6.33 inference(rewrite,[status(thm)],[])).
% 8.41/6.33 tff(21763,plain,
% 8.41/6.33 (((~![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) <=> (~((~v1(constB168)) | (~v102(constB168)))))))),
% 8.41/6.33 inference(monotonicity,[status(thm)],[21762])).
% 8.41/6.33 tff(21764,plain,
% 8.41/6.33 (((~![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) <=> (~((~v1(constB168)) | (~v102(constB168))))))),
% 8.41/6.33 inference(transitivity,[status(thm)],[21763, 21761])).
% 8.41/6.33 tff(21765,plain,
% 8.41/6.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB167, constB168)) | (v101(constB168) <=> (~((~v102(constB168)) | (~v1(constB168))))))),
% 8.41/6.33 inference(quant_inst,[status(thm)],[])).
% 8.41/6.33 tff(21766,plain,
% 8.41/6.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB167, constB168)) | (v101(constB168) <=> (~((~v1(constB168)) | (~v102(constB168)))))),
% 8.41/6.33 inference(modus_ponens,[status(thm)],[21765, 21764])).
% 8.41/6.33 tff(21767,plain,
% 8.41/6.33 (v101(constB168) <=> (~((~v1(constB168)) | (~v102(constB168))))),
% 8.41/6.33 inference(unit_resolution,[status(thm)],[21766, 15875, 465])).
% 8.41/6.33 tff(21768,plain,
% 8.41/6.33 (((~![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)))),
% 8.41/6.33 inference(rewrite,[status(thm)],[])).
% 8.41/6.33 tff(21769,plain,
% 8.41/6.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB167, constB168)) | ((~v102(constB168)) <=> v104(constB168)))),
% 8.41/6.33 inference(quant_inst,[status(thm)],[])).
% 8.41/6.33 tff(21770,plain,
% 8.41/6.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB167, constB168)) | ((~v102(constB168)) <=> v104(constB168))),
% 8.41/6.33 inference(modus_ponens,[status(thm)],[21769, 21768])).
% 8.41/6.33 tff(21771,plain,
% 8.41/6.33 ((~v102(constB168)) <=> v104(constB168)),
% 8.41/6.33 inference(unit_resolution,[status(thm)],[21770, 15875, 3244])).
% 8.41/6.33 tff(21772,plain,
% 8.41/6.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB167, constB168)) | (v104(constB168) <=> v1(constB167)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB167, constB168)) | (v104(constB168) <=> v1(constB167)))),
% 8.41/6.33 inference(rewrite,[status(thm)],[])).
% 8.41/6.33 tff(21773,plain,
% 8.41/6.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB167, constB168)) | (v104(constB168) <=> v1(constB167)))),
% 8.41/6.33 inference(quant_inst,[status(thm)],[])).
% 8.41/6.33 tff(21774,plain,
% 8.41/6.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB167, constB168)) | (v104(constB168) <=> v1(constB167))),
% 8.41/6.33 inference(modus_ponens,[status(thm)],[21773, 21772])).
% 8.41/6.33 tff(21775,plain,
% 8.41/6.33 (v104(constB168) <=> v1(constB167)),
% 8.41/6.33 inference(unit_resolution,[status(thm)],[21774, 15875, 3258])).
% 8.41/6.33 tff(21776,plain,
% 8.41/6.33 ((~(v104(constB168) <=> v1(constB167))) | (~v104(constB168)) | v1(constB167)),
% 8.41/6.33 inference(tautology,[status(thm)],[])).
% 8.41/6.33 tff(21777,plain,
% 8.41/6.33 ((~(v104(constB168) <=> v1(constB167))) | (~v104(constB168))),
% 8.41/6.33 inference(unit_resolution,[status(thm)],[21776, 15914])).
% 8.41/6.33 tff(21778,plain,
% 8.41/6.33 (~v104(constB168)),
% 8.41/6.33 inference(unit_resolution,[status(thm)],[21777, 21775])).
% 8.41/6.33 tff(21779,plain,
% 8.41/6.33 ((~((~v102(constB168)) <=> v104(constB168))) | v102(constB168) | v104(constB168)),
% 8.41/6.33 inference(tautology,[status(thm)],[])).
% 8.41/6.33 tff(21780,plain,
% 8.41/6.33 (v102(constB168)),
% 8.41/6.33 inference(unit_resolution,[status(thm)],[21779, 21778, 21771])).
% 8.41/6.33 tff(21781,plain,
% 8.41/6.33 (v1(constB168) <=> v1(constB168)),
% 8.41/6.33 inference(rewrite,[status(thm)],[])).
% 8.41/6.33 tff(21782,axiom,(v1(constB168)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_168')).
% 8.41/6.33 tff(21783,plain,
% 8.41/6.33 (v1(constB168)),
% 8.41/6.33 inference(modus_ponens,[status(thm)],[21782, 21781])).
% 8.41/6.33 tff(21784,plain,
% 8.41/6.33 ((~((~v1(constB168)) | (~v102(constB168)))) | (~v1(constB168)) | (~v102(constB168))),
% 8.41/6.33 inference(tautology,[status(thm)],[])).
% 8.41/6.33 tff(21785,plain,
% 8.41/6.33 ((~((~v1(constB168)) | (~v102(constB168)))) | (~v102(constB168))),
% 8.41/6.33 inference(unit_resolution,[status(thm)],[21784, 21783])).
% 8.41/6.33 tff(21786,plain,
% 8.41/6.33 (~((~v1(constB168)) | (~v102(constB168)))),
% 8.41/6.33 inference(unit_resolution,[status(thm)],[21785, 21780])).
% 8.41/6.33 tff(21787,plain,
% 8.41/6.33 ((~(v101(constB168) <=> (~((~v1(constB168)) | (~v102(constB168)))))) | v101(constB168) | ((~v1(constB168)) | (~v102(constB168)))),
% 8.41/6.33 inference(tautology,[status(thm)],[])).
% 8.41/6.33 tff(21788,plain,
% 8.41/6.33 (v101(constB168)),
% 8.41/6.33 inference(unit_resolution,[status(thm)],[21787, 21786, 21767])).
% 8.41/6.33 tff(21789,plain,
% 8.41/6.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB167, constB168)) | (v110(constB168) <=> v108(constB167)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB167, constB168)) | (v110(constB168) <=> v108(constB167)))),
% 8.41/6.33 inference(rewrite,[status(thm)],[])).
% 8.41/6.33 tff(21790,plain,
% 8.41/6.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB167, constB168)) | (v110(constB168) <=> v108(constB167)))),
% 8.41/6.33 inference(quant_inst,[status(thm)],[])).
% 8.41/6.33 tff(21791,plain,
% 8.41/6.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB167, constB168)) | (v110(constB168) <=> v108(constB167))),
% 8.41/6.33 inference(modus_ponens,[status(thm)],[21790, 21789])).
% 8.41/6.33 tff(21792,plain,
% 8.41/6.33 (v110(constB168) <=> v108(constB167)),
% 8.41/6.33 inference(unit_resolution,[status(thm)],[21791, 15875, 3285])).
% 8.41/6.33 tff(21793,plain,
% 8.41/6.33 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB167) <=> (v111(constB167) | v112(constB167)))),
% 8.41/6.33 inference(quant_inst,[status(thm)],[])).
% 8.41/6.33 tff(21794,plain,
% 8.41/6.33 (v108(constB167) <=> (v111(constB167) | v112(constB167))),
% 8.41/6.33 inference(unit_resolution,[status(thm)],[21793, 3296])).
% 8.41/6.33 tff(21795,plain,
% 8.41/6.33 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB167) <=> (~((~v113(constB167)) | (~v126(constB167)))))),
% 8.41/6.33 inference(quant_inst,[status(thm)],[])).
% 8.41/6.33 tff(21796,plain,
% 8.41/6.33 (v112(constB167) <=> (~((~v113(constB167)) | (~v126(constB167))))),
% 8.41/6.33 inference(unit_resolution,[status(thm)],[21795, 3308])).
% 8.41/6.33 tff(21797,plain,
% 8.41/6.33 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB167) <=> (v114(constB167) | v125(constB167)))),
% 8.41/6.33 inference(quant_inst,[status(thm)],[])).
% 8.41/6.33 tff(21798,plain,
% 8.41/6.33 (v113(constB167) <=> (v114(constB167) | v125(constB167))),
% 8.41/6.33 inference(unit_resolution,[status(thm)],[21797, 3317])).
% 8.41/6.33 tff(21799,plain,
% 8.41/6.33 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB167) <=> (v115(constB167) | v124(constB167)))),
% 8.41/6.33 inference(quant_inst,[status(thm)],[])).
% 8.41/6.33 tff(21800,plain,
% 8.41/6.33 (v114(constB167) <=> (v115(constB167) | v124(constB167))),
% 8.41/6.33 inference(unit_resolution,[status(thm)],[21799, 3326])).
% 8.41/6.33 tff(21801,plain,
% 8.41/6.33 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB167) <=> (v116(constB167) | v123(constB167)))),
% 8.41/6.33 inference(quant_inst,[status(thm)],[])).
% 8.41/6.33 tff(21802,plain,
% 8.41/6.33 (v115(constB167) <=> (v116(constB167) | v123(constB167))),
% 8.41/6.33 inference(unit_resolution,[status(thm)],[21801, 3335])).
% 8.41/6.33 tff(21803,plain,
% 8.41/6.33 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB167) <=> (v117(constB167) | v122(constB167)))),
% 8.41/6.33 inference(quant_inst,[status(thm)],[])).
% 8.41/6.33 tff(21804,plain,
% 8.41/6.33 (v116(constB167) <=> (v117(constB167) | v122(constB167))),
% 8.41/6.33 inference(unit_resolution,[status(thm)],[21803, 3344])).
% 8.41/6.33 tff(21805,plain,
% 8.41/6.33 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB167) <=> (v118(constB167) | v121(constB167)))),
% 8.41/6.33 inference(quant_inst,[status(thm)],[])).
% 8.41/6.33 tff(21806,plain,
% 8.41/6.33 (v117(constB167) <=> (v118(constB167) | v121(constB167))),
% 8.41/6.33 inference(unit_resolution,[status(thm)],[21805, 3353])).
% 8.41/6.33 tff(21807,plain,
% 8.41/6.33 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB167) <=> (v119(constB167) | v120(constB167)))),
% 8.41/6.33 inference(quant_inst,[status(thm)],[])).
% 8.41/6.33 tff(21808,plain,
% 8.41/6.33 (v118(constB167) <=> (v119(constB167) | v120(constB167))),
% 8.41/6.33 inference(unit_resolution,[status(thm)],[21807, 3362])).
% 8.41/6.33 tff(21809,plain,
% 8.41/6.33 ((v119(constB167) | v120(constB167)) | (~v120(constB167))),
% 8.41/6.33 inference(tautology,[status(thm)],[])).
% 8.41/6.33 tff(21810,plain,
% 8.41/6.33 (v119(constB167) | v120(constB167)),
% 8.41/6.33 inference(unit_resolution,[status(thm)],[21809, 21742])).
% 8.41/6.33 tff(21811,plain,
% 8.41/6.33 ((~(v118(constB167) <=> (v119(constB167) | v120(constB167)))) | v118(constB167) | (~(v119(constB167) | v120(constB167)))),
% 8.41/6.33 inference(tautology,[status(thm)],[])).
% 8.41/6.33 tff(21812,plain,
% 8.41/6.33 (v118(constB167)),
% 8.41/6.33 inference(unit_resolution,[status(thm)],[21811, 21810, 21808])).
% 8.41/6.33 tff(21813,plain,
% 8.41/6.33 ((v118(constB167) | v121(constB167)) | (~v118(constB167))),
% 8.41/6.33 inference(tautology,[status(thm)],[])).
% 8.41/6.33 tff(21814,plain,
% 8.41/6.33 (v118(constB167) | v121(constB167)),
% 8.41/6.33 inference(unit_resolution,[status(thm)],[21813, 21812])).
% 8.41/6.33 tff(21815,plain,
% 8.41/6.33 ((~(v117(constB167) <=> (v118(constB167) | v121(constB167)))) | v117(constB167) | (~(v118(constB167) | v121(constB167)))),
% 8.41/6.33 inference(tautology,[status(thm)],[])).
% 8.41/6.33 tff(21816,plain,
% 8.41/6.33 (v117(constB167)),
% 8.41/6.33 inference(unit_resolution,[status(thm)],[21815, 21814, 21806])).
% 8.41/6.33 tff(21817,plain,
% 8.41/6.33 ((v117(constB167) | v122(constB167)) | (~v117(constB167))),
% 8.41/6.33 inference(tautology,[status(thm)],[])).
% 8.41/6.33 tff(21818,plain,
% 8.41/6.33 (v117(constB167) | v122(constB167)),
% 8.41/6.33 inference(unit_resolution,[status(thm)],[21817, 21816])).
% 8.41/6.33 tff(21819,plain,
% 8.41/6.33 ((~(v116(constB167) <=> (v117(constB167) | v122(constB167)))) | v116(constB167) | (~(v117(constB167) | v122(constB167)))),
% 8.41/6.33 inference(tautology,[status(thm)],[])).
% 8.41/6.33 tff(21820,plain,
% 8.41/6.33 (v116(constB167)),
% 8.41/6.33 inference(unit_resolution,[status(thm)],[21819, 21818, 21804])).
% 8.41/6.33 tff(21821,plain,
% 8.41/6.33 ((v116(constB167) | v123(constB167)) | (~v116(constB167))),
% 8.41/6.33 inference(tautology,[status(thm)],[])).
% 8.41/6.33 tff(21822,plain,
% 8.41/6.33 (v116(constB167) | v123(constB167)),
% 8.41/6.33 inference(unit_resolution,[status(thm)],[21821, 21820])).
% 8.41/6.33 tff(21823,plain,
% 8.41/6.33 ((~(v115(constB167) <=> (v116(constB167) | v123(constB167)))) | v115(constB167) | (~(v116(constB167) | v123(constB167)))),
% 8.41/6.33 inference(tautology,[status(thm)],[])).
% 8.41/6.33 tff(21824,plain,
% 8.41/6.33 (v115(constB167)),
% 8.41/6.33 inference(unit_resolution,[status(thm)],[21823, 21822, 21802])).
% 8.41/6.33 tff(21825,plain,
% 8.41/6.33 ((v115(constB167) | v124(constB167)) | (~v115(constB167))),
% 8.41/6.33 inference(tautology,[status(thm)],[])).
% 8.41/6.33 tff(21826,plain,
% 8.41/6.33 (v115(constB167) | v124(constB167)),
% 8.41/6.33 inference(unit_resolution,[status(thm)],[21825, 21824])).
% 8.41/6.33 tff(21827,plain,
% 8.41/6.33 ((~(v114(constB167) <=> (v115(constB167) | v124(constB167)))) | v114(constB167) | (~(v115(constB167) | v124(constB167)))),
% 8.41/6.33 inference(tautology,[status(thm)],[])).
% 8.41/6.33 tff(21828,plain,
% 8.41/6.33 (v114(constB167)),
% 8.41/6.33 inference(unit_resolution,[status(thm)],[21827, 21826, 21800])).
% 8.41/6.33 tff(21829,plain,
% 8.41/6.33 ((v114(constB167) | v125(constB167)) | (~v114(constB167))),
% 8.41/6.33 inference(tautology,[status(thm)],[])).
% 8.41/6.33 tff(21830,plain,
% 8.41/6.33 (v114(constB167) | v125(constB167)),
% 8.41/6.33 inference(unit_resolution,[status(thm)],[21829, 21828])).
% 8.41/6.33 tff(21831,plain,
% 8.41/6.33 ((~(v113(constB167) <=> (v114(constB167) | v125(constB167)))) | v113(constB167) | (~(v114(constB167) | v125(constB167)))),
% 8.41/6.33 inference(tautology,[status(thm)],[])).
% 8.41/6.33 tff(21832,plain,
% 8.41/6.33 (v113(constB167)),
% 8.41/6.33 inference(unit_resolution,[status(thm)],[21831, 21830, 21798])).
% 8.41/6.33 tff(21833,plain,
% 8.41/6.33 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB167)) <=> v111(constB167))),
% 8.41/6.33 inference(quant_inst,[status(thm)],[])).
% 8.41/6.33 tff(21834,plain,
% 8.41/6.33 ((~v126(constB167)) <=> v111(constB167)),
% 8.41/6.33 inference(unit_resolution,[status(thm)],[21833, 3396])).
% 8.41/6.33 tff(21835,plain,
% 8.41/6.33 ((~((~v126(constB167)) <=> v111(constB167))) | v126(constB167) | v111(constB167)),
% 8.41/6.33 inference(tautology,[status(thm)],[])).
% 8.41/6.33 tff(21836,plain,
% 8.41/6.33 ((~((~v126(constB167)) <=> v111(constB167))) | v126(constB167)),
% 8.41/6.33 inference(unit_resolution,[status(thm)],[21835, 15888])).
% 8.41/6.33 tff(21837,plain,
% 8.41/6.33 (v126(constB167)),
% 8.41/6.33 inference(unit_resolution,[status(thm)],[21836, 21834])).
% 8.41/6.33 tff(21838,plain,
% 8.41/6.33 ((~((~v113(constB167)) | (~v126(constB167)))) | (~v113(constB167)) | (~v126(constB167))),
% 8.41/6.33 inference(tautology,[status(thm)],[])).
% 8.41/6.33 tff(21839,plain,
% 8.41/6.33 ((~((~v113(constB167)) | (~v126(constB167)))) | (~v113(constB167))),
% 8.41/6.33 inference(unit_resolution,[status(thm)],[21838, 21837])).
% 8.41/6.33 tff(21840,plain,
% 8.41/6.33 (~((~v113(constB167)) | (~v126(constB167)))),
% 8.41/6.33 inference(unit_resolution,[status(thm)],[21839, 21832])).
% 8.41/6.33 tff(21841,plain,
% 8.41/6.33 ((~(v112(constB167) <=> (~((~v113(constB167)) | (~v126(constB167)))))) | v112(constB167) | ((~v113(constB167)) | (~v126(constB167)))),
% 8.41/6.33 inference(tautology,[status(thm)],[])).
% 8.41/6.33 tff(21842,plain,
% 8.41/6.33 (v112(constB167)),
% 8.41/6.33 inference(unit_resolution,[status(thm)],[21841, 21840, 21796])).
% 8.41/6.33 tff(21843,plain,
% 8.41/6.33 ((v111(constB167) | v112(constB167)) | (~v112(constB167))),
% 8.41/6.33 inference(tautology,[status(thm)],[])).
% 8.41/6.33 tff(21844,plain,
% 8.41/6.33 (v111(constB167) | v112(constB167)),
% 8.41/6.33 inference(unit_resolution,[status(thm)],[21843, 21842])).
% 8.41/6.33 tff(21845,plain,
% 8.41/6.33 ((~(v108(constB167) <=> (v111(constB167) | v112(constB167)))) | v108(constB167) | (~(v111(constB167) | v112(constB167)))),
% 8.41/6.33 inference(tautology,[status(thm)],[])).
% 8.41/6.33 tff(21846,plain,
% 8.41/6.33 (v108(constB167)),
% 8.41/6.33 inference(unit_resolution,[status(thm)],[21845, 21844, 21794])).
% 8.41/6.33 tff(21847,plain,
% 8.41/6.33 ((~(v110(constB168) <=> v108(constB167))) | v110(constB168) | (~v108(constB167))),
% 8.41/6.33 inference(tautology,[status(thm)],[])).
% 8.41/6.33 tff(21848,plain,
% 8.41/6.33 (v110(constB168)),
% 8.41/6.33 inference(unit_resolution,[status(thm)],[21847, 21846, 21792])).
% 8.41/6.33 tff(21849,plain,
% 8.41/6.33 ((~((~v101(constB168)) | (~v110(constB168)))) | (~v101(constB168)) | (~v110(constB168))),
% 8.41/6.33 inference(tautology,[status(thm)],[])).
% 8.41/6.33 tff(21850,plain,
% 8.41/6.33 (~((~v101(constB168)) | (~v110(constB168)))),
% 8.41/6.33 inference(unit_resolution,[status(thm)],[21849, 21848, 21788])).
% 8.41/6.33 tff(21851,plain,
% 8.41/6.33 ((~(v100(constB168) <=> (~((~v101(constB168)) | (~v110(constB168)))))) | v100(constB168) | ((~v101(constB168)) | (~v110(constB168)))),
% 8.41/6.33 inference(tautology,[status(thm)],[])).
% 8.41/6.33 tff(21852,plain,
% 8.41/6.33 (v100(constB168)),
% 8.41/6.33 inference(unit_resolution,[status(thm)],[21851, 21850, 21760])).
% 8.41/6.33 tff(21853,plain,
% 8.41/6.33 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB168)) | (~(((~v90(constB168, bitIndex2)) <=> v129(constB168, bitIndex2)) | ((~v90(constB168, bitIndex1)) <=> v129(constB168, bitIndex1)) | ((~v90(constB168, bitIndex0)) <=> v129(constB168, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB168)) | (~(((~v90(constB168, bitIndex2)) <=> v129(constB168, bitIndex2)) | ((~v90(constB168, bitIndex1)) <=> v129(constB168, bitIndex1)) | ((~v90(constB168, bitIndex0)) <=> v129(constB168, bitIndex0)))))),
% 8.41/6.33 inference(rewrite,[status(thm)],[])).
% 8.41/6.33 tff(21854,plain,
% 8.41/6.33 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB168)) | (~(((~v90(constB168, bitIndex2)) <=> v129(constB168, bitIndex2)) | ((~v90(constB168, bitIndex1)) <=> v129(constB168, bitIndex1)) | ((~v90(constB168, bitIndex0)) <=> v129(constB168, bitIndex0)))))),
% 8.41/6.33 inference(quant_inst,[status(thm)],[])).
% 8.41/6.34 tff(21855,plain,
% 8.41/6.34 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB168)) | (~(((~v90(constB168, bitIndex2)) <=> v129(constB168, bitIndex2)) | ((~v90(constB168, bitIndex1)) <=> v129(constB168, bitIndex1)) | ((~v90(constB168, bitIndex0)) <=> v129(constB168, bitIndex0))))),
% 8.41/6.34 inference(modus_ponens,[status(thm)],[21854, 21853])).
% 8.41/6.34 tff(21856,plain,
% 8.41/6.34 ((~v100(constB168)) | (~(((~v90(constB168, bitIndex2)) <=> v129(constB168, bitIndex2)) | ((~v90(constB168, bitIndex1)) <=> v129(constB168, bitIndex1)) | ((~v90(constB168, bitIndex0)) <=> v129(constB168, bitIndex0))))),
% 8.41/6.34 inference(unit_resolution,[status(thm)],[21855, 3429])).
% 8.41/6.34 tff(21857,plain,
% 8.41/6.34 (~(((~v90(constB168, bitIndex2)) <=> v129(constB168, bitIndex2)) | ((~v90(constB168, bitIndex1)) <=> v129(constB168, bitIndex1)) | ((~v90(constB168, bitIndex0)) <=> v129(constB168, bitIndex0)))),
% 8.41/6.34 inference(unit_resolution,[status(thm)],[21856, 21852])).
% 8.41/6.34 tff(21858,plain,
% 8.41/6.34 ((((~v90(constB168, bitIndex2)) <=> v129(constB168, bitIndex2)) | ((~v90(constB168, bitIndex1)) <=> v129(constB168, bitIndex1)) | ((~v90(constB168, bitIndex0)) <=> v129(constB168, bitIndex0))) | (~((~v90(constB168, bitIndex2)) <=> v129(constB168, bitIndex2)))),
% 8.41/6.34 inference(tautology,[status(thm)],[])).
% 8.41/6.34 tff(21859,plain,
% 8.41/6.34 (~((~v90(constB168, bitIndex2)) <=> v129(constB168, bitIndex2))),
% 8.41/6.34 inference(unit_resolution,[status(thm)],[21858, 21857])).
% 8.41/6.34 tff(21860,plain,
% 8.41/6.34 (((~v90(constB168, bitIndex2)) <=> v129(constB168, bitIndex2)) | (~v90(constB168, bitIndex2)) | v129(constB168, bitIndex2)),
% 8.41/6.34 inference(tautology,[status(thm)],[])).
% 8.41/6.34 tff(21861,plain,
% 8.41/6.34 (~v90(constB168, bitIndex2)),
% 8.41/6.34 inference(unit_resolution,[status(thm)],[21860, 21859, 21756])).
% 8.41/6.34 tff(21862,plain,
% 8.41/6.34 (((~v90(constB169, bitIndex2)) <=> v90(constB168, bitIndex2)) | (~v90(constB169, bitIndex2)) | v90(constB168, bitIndex2)),
% 8.41/6.34 inference(tautology,[status(thm)],[])).
% 8.41/6.34 tff(21863,plain,
% 8.41/6.34 (~v90(constB169, bitIndex2)),
% 8.41/6.34 inference(unit_resolution,[status(thm)],[21862, 21861, 15872])).
% 8.41/6.34 tff(21864,plain,
% 8.41/6.34 ((((~v90(constB169, bitIndex1)) <=> v90(constB168, bitIndex1)) | ((~v90(constB169, bitIndex2)) <=> v90(constB168, bitIndex2)) | ((~v90(constB169, bitIndex0)) <=> v90(constB168, bitIndex0))) | (~((~v90(constB169, bitIndex0)) <=> v90(constB168, bitIndex0)))),
% 8.41/6.34 inference(tautology,[status(thm)],[])).
% 8.41/6.34 tff(21865,plain,
% 8.41/6.34 (~((~v90(constB169, bitIndex0)) <=> v90(constB168, bitIndex0))),
% 8.41/6.34 inference(unit_resolution,[status(thm)],[21864, 15870])).
% 8.41/6.34 tff(21866,plain,
% 8.41/6.34 ((((~v129(constB168, bitIndex2)) <=> v127(constB167, bitIndex2)) | ((~v129(constB168, bitIndex1)) <=> v127(constB167, bitIndex1)) | ((~v129(constB168, bitIndex0)) <=> v127(constB167, bitIndex0))) | (~((~v129(constB168, bitIndex0)) <=> v127(constB167, bitIndex0)))),
% 8.41/6.34 inference(tautology,[status(thm)],[])).
% 8.41/6.34 tff(21867,plain,
% 8.41/6.34 (~((~v129(constB168, bitIndex0)) <=> v127(constB167, bitIndex0))),
% 8.41/6.34 inference(unit_resolution,[status(thm)],[21866, 15879])).
% 8.41/6.34 tff(21868,plain,
% 8.41/6.34 ((((~v127(constB167, bitIndex2)) <=> v130(constB167, bitIndex2)) | ((~v127(constB167, bitIndex1)) <=> v130(constB167, bitIndex1)) | ((~v127(constB167, bitIndex0)) <=> v130(constB167, bitIndex0))) | (~((~v127(constB167, bitIndex0)) <=> v130(constB167, bitIndex0)))),
% 8.41/6.34 inference(tautology,[status(thm)],[])).
% 8.41/6.34 tff(21869,plain,
% 8.41/6.34 (~((~v127(constB167, bitIndex0)) <=> v130(constB167, bitIndex0))),
% 8.41/6.34 inference(unit_resolution,[status(thm)],[21868, 15893])).
% 8.41/6.34 tff(21870,plain,
% 8.41/6.34 ((v130(constB167, bitIndex2) | v130(constB167, bitIndex0) | (~v130(constB167, bitIndex1))) | (~v130(constB167, bitIndex0))),
% 8.41/6.34 inference(tautology,[status(thm)],[])).
% 8.41/6.34 tff(21871,plain,
% 8.41/6.34 (~v130(constB167, bitIndex0)),
% 8.41/6.34 inference(unit_resolution,[status(thm)],[21870, 21750])).
% 8.41/6.34 tff(21872,plain,
% 8.41/6.34 (((~v127(constB167, bitIndex0)) <=> v130(constB167, bitIndex0)) | (~v127(constB167, bitIndex0)) | v130(constB167, bitIndex0)),
% 8.41/6.34 inference(tautology,[status(thm)],[])).
% 8.41/6.34 tff(21873,plain,
% 8.41/6.34 (~v127(constB167, bitIndex0)),
% 8.41/6.34 inference(unit_resolution,[status(thm)],[21872, 21871, 21869])).
% 8.41/6.34 tff(21874,plain,
% 8.41/6.34 (((~v129(constB168, bitIndex0)) <=> v127(constB167, bitIndex0)) | (~v129(constB168, bitIndex0)) | v127(constB167, bitIndex0)),
% 8.41/6.34 inference(tautology,[status(thm)],[])).
% 8.41/6.34 tff(21875,plain,
% 8.41/6.34 (~v129(constB168, bitIndex0)),
% 8.41/6.34 inference(unit_resolution,[status(thm)],[21874, 21873, 21867])).
% 8.41/6.34 tff(21876,plain,
% 8.41/6.34 ((((~v90(constB168, bitIndex2)) <=> v129(constB168, bitIndex2)) | ((~v90(constB168, bitIndex1)) <=> v129(constB168, bitIndex1)) | ((~v90(constB168, bitIndex0)) <=> v129(constB168, bitIndex0))) | (~((~v90(constB168, bitIndex0)) <=> v129(constB168, bitIndex0)))),
% 8.41/6.34 inference(tautology,[status(thm)],[])).
% 8.41/6.34 tff(21877,plain,
% 8.41/6.34 (~((~v90(constB168, bitIndex0)) <=> v129(constB168, bitIndex0))),
% 8.41/6.34 inference(unit_resolution,[status(thm)],[21876, 21857])).
% 8.41/6.34 tff(21878,plain,
% 8.41/6.34 (((~v90(constB168, bitIndex0)) <=> v129(constB168, bitIndex0)) | (~v90(constB168, bitIndex0)) | v129(constB168, bitIndex0)),
% 8.41/6.34 inference(tautology,[status(thm)],[])).
% 8.41/6.34 tff(21879,plain,
% 8.41/6.34 (~v90(constB168, bitIndex0)),
% 8.41/6.34 inference(unit_resolution,[status(thm)],[21878, 21877, 21875])).
% 8.41/6.34 tff(21880,plain,
% 8.41/6.34 (((~v90(constB169, bitIndex0)) <=> v90(constB168, bitIndex0)) | (~v90(constB169, bitIndex0)) | v90(constB168, bitIndex0)),
% 8.41/6.34 inference(tautology,[status(thm)],[])).
% 8.41/6.34 tff(21881,plain,
% 8.41/6.34 (~v90(constB169, bitIndex0)),
% 8.41/6.34 inference(unit_resolution,[status(thm)],[21880, 21879, 21865])).
% 8.41/6.34 tff(21882,plain,
% 8.41/6.34 ((((~v90(constB169, bitIndex1)) <=> v90(constB168, bitIndex1)) | ((~v90(constB169, bitIndex2)) <=> v90(constB168, bitIndex2)) | ((~v90(constB169, bitIndex0)) <=> v90(constB168, bitIndex0))) | (~((~v90(constB169, bitIndex1)) <=> v90(constB168, bitIndex1)))),
% 8.41/6.34 inference(tautology,[status(thm)],[])).
% 8.41/6.34 tff(21883,plain,
% 8.41/6.34 (~((~v90(constB169, bitIndex1)) <=> v90(constB168, bitIndex1))),
% 8.41/6.34 inference(unit_resolution,[status(thm)],[21882, 15870])).
% 8.41/6.34 tff(21884,plain,
% 8.41/6.34 ((((~v129(constB168, bitIndex2)) <=> v127(constB167, bitIndex2)) | ((~v129(constB168, bitIndex1)) <=> v127(constB167, bitIndex1)) | ((~v129(constB168, bitIndex0)) <=> v127(constB167, bitIndex0))) | (~((~v129(constB168, bitIndex1)) <=> v127(constB167, bitIndex1)))),
% 8.41/6.34 inference(tautology,[status(thm)],[])).
% 8.41/6.34 tff(21885,plain,
% 8.41/6.34 (~((~v129(constB168, bitIndex1)) <=> v127(constB167, bitIndex1))),
% 8.41/6.34 inference(unit_resolution,[status(thm)],[21884, 15879])).
% 8.41/6.34 tff(21886,plain,
% 8.41/6.34 ((((~v127(constB167, bitIndex2)) <=> v130(constB167, bitIndex2)) | ((~v127(constB167, bitIndex1)) <=> v130(constB167, bitIndex1)) | ((~v127(constB167, bitIndex0)) <=> v130(constB167, bitIndex0))) | (~((~v127(constB167, bitIndex1)) <=> v130(constB167, bitIndex1)))),
% 8.41/6.34 inference(tautology,[status(thm)],[])).
% 8.41/6.34 tff(21887,plain,
% 8.41/6.34 (~((~v127(constB167, bitIndex1)) <=> v130(constB167, bitIndex1))),
% 8.41/6.34 inference(unit_resolution,[status(thm)],[21886, 15893])).
% 8.41/6.34 tff(21888,plain,
% 8.41/6.34 ((v130(constB167, bitIndex2) | v130(constB167, bitIndex0) | (~v130(constB167, bitIndex1))) | v130(constB167, bitIndex1)),
% 8.41/6.34 inference(tautology,[status(thm)],[])).
% 8.41/6.34 tff(21889,plain,
% 8.41/6.34 (v130(constB167, bitIndex1)),
% 8.41/6.34 inference(unit_resolution,[status(thm)],[21888, 21750])).
% 8.41/6.34 tff(21890,plain,
% 8.41/6.34 (((~v127(constB167, bitIndex1)) <=> v130(constB167, bitIndex1)) | v127(constB167, bitIndex1) | (~v130(constB167, bitIndex1))),
% 8.41/6.34 inference(tautology,[status(thm)],[])).
% 8.41/6.34 tff(21891,plain,
% 8.41/6.34 (v127(constB167, bitIndex1)),
% 8.41/6.34 inference(unit_resolution,[status(thm)],[21890, 21889, 21887])).
% 8.41/6.34 tff(21892,plain,
% 8.41/6.34 (((~v129(constB168, bitIndex1)) <=> v127(constB167, bitIndex1)) | v129(constB168, bitIndex1) | (~v127(constB167, bitIndex1))),
% 8.41/6.34 inference(tautology,[status(thm)],[])).
% 8.41/6.34 tff(21893,plain,
% 8.41/6.34 (v129(constB168, bitIndex1)),
% 8.41/6.34 inference(unit_resolution,[status(thm)],[21892, 21891, 21885])).
% 8.41/6.34 tff(21894,plain,
% 8.41/6.34 ((((~v90(constB168, bitIndex2)) <=> v129(constB168, bitIndex2)) | ((~v90(constB168, bitIndex1)) <=> v129(constB168, bitIndex1)) | ((~v90(constB168, bitIndex0)) <=> v129(constB168, bitIndex0))) | (~((~v90(constB168, bitIndex1)) <=> v129(constB168, bitIndex1)))),
% 8.41/6.34 inference(tautology,[status(thm)],[])).
% 8.41/6.34 tff(21895,plain,
% 8.41/6.34 (~((~v90(constB168, bitIndex1)) <=> v129(constB168, bitIndex1))),
% 8.41/6.34 inference(unit_resolution,[status(thm)],[21894, 21857])).
% 8.41/6.34 tff(21896,plain,
% 8.41/6.34 (((~v90(constB168, bitIndex1)) <=> v129(constB168, bitIndex1)) | v90(constB168, bitIndex1) | (~v129(constB168, bitIndex1))),
% 8.41/6.34 inference(tautology,[status(thm)],[])).
% 8.41/6.34 tff(21897,plain,
% 8.41/6.34 (v90(constB168, bitIndex1)),
% 8.41/6.34 inference(unit_resolution,[status(thm)],[21896, 21895, 21893])).
% 8.41/6.34 tff(21898,plain,
% 8.41/6.34 (((~v90(constB169, bitIndex1)) <=> v90(constB168, bitIndex1)) | v90(constB169, bitIndex1) | (~v90(constB168, bitIndex1))),
% 8.41/6.34 inference(tautology,[status(thm)],[])).
% 8.41/6.34 tff(21899,plain,
% 8.41/6.34 (v90(constB169, bitIndex1)),
% 8.41/6.34 inference(unit_resolution,[status(thm)],[21898, 21897, 21883])).
% 8.41/6.34 tff(21900,plain,
% 8.41/6.34 ((~(v90(constB169, bitIndex2) | v90(constB169, bitIndex0) | (~v90(constB169, bitIndex1)))) | v90(constB169, bitIndex2) | v90(constB169, bitIndex0) | (~v90(constB169, bitIndex1))),
% 8.41/6.34 inference(tautology,[status(thm)],[])).
% 8.41/6.34 tff(21901,plain,
% 8.41/6.34 (~(v90(constB169, bitIndex2) | v90(constB169, bitIndex0) | (~v90(constB169, bitIndex1)))),
% 8.41/6.34 inference(unit_resolution,[status(thm)],[21900, 21899, 21881, 21863])).
% 8.41/6.34 tff(21902,plain,
% 8.41/6.34 ((~(v121(constB169) <=> (~(v90(constB169, bitIndex2) | v90(constB169, bitIndex0) | (~v90(constB169, bitIndex1)))))) | v121(constB169) | (v90(constB169, bitIndex2) | v90(constB169, bitIndex0) | (~v90(constB169, bitIndex1)))),
% 8.41/6.34 inference(tautology,[status(thm)],[])).
% 8.41/6.34 tff(21903,plain,
% 8.41/6.34 (v121(constB169)),
% 8.41/6.34 inference(unit_resolution,[status(thm)],[21902, 21901, 15836])).
% 8.41/6.34 tff(21904,plain,
% 8.41/6.34 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB169)) | (~(v130(constB169, bitIndex2) | (~v130(constB169, bitIndex1)) | (~v130(constB169, bitIndex0)))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | (~v121(constB169)) | (~(v130(constB169, bitIndex2) | (~v130(constB169, bitIndex1)) | (~v130(constB169, bitIndex0)))))),
% 8.41/6.34 inference(rewrite,[status(thm)],[])).
% 8.41/6.34 tff(21905,plain,
% 8.41/6.34 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB169)) | (~(v130(constB169, bitIndex2) | (~v130(constB169, bitIndex1)) | (~v130(constB169, bitIndex0)))))),
% 8.41/6.34 inference(quant_inst,[status(thm)],[])).
% 8.41/6.34 tff(21906,plain,
% 8.41/6.34 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | (~v121(constB169)) | (~(v130(constB169, bitIndex2) | (~v130(constB169, bitIndex1)) | (~v130(constB169, bitIndex0))))),
% 8.41/6.34 inference(modus_ponens,[status(thm)],[21905, 21904])).
% 8.41/6.34 tff(21907,plain,
% 8.41/6.34 ((~v121(constB169)) | (~(v130(constB169, bitIndex2) | (~v130(constB169, bitIndex1)) | (~v130(constB169, bitIndex0))))),
% 8.41/6.34 inference(unit_resolution,[status(thm)],[21906, 4055])).
% 8.41/6.34 tff(21908,plain,
% 8.41/6.34 (~(v130(constB169, bitIndex2) | (~v130(constB169, bitIndex1)) | (~v130(constB169, bitIndex0)))),
% 8.41/6.34 inference(unit_resolution,[status(thm)],[21907, 21903])).
% 8.41/6.34 tff(21909,plain,
% 8.41/6.34 ((v130(constB169, bitIndex2) | (~v130(constB169, bitIndex1)) | (~v130(constB169, bitIndex0))) | (~v130(constB169, bitIndex2))),
% 8.41/6.34 inference(tautology,[status(thm)],[])).
% 8.41/6.34 tff(21910,plain,
% 8.41/6.34 (~v130(constB169, bitIndex2)),
% 8.41/6.34 inference(unit_resolution,[status(thm)],[21909, 21908])).
% 8.41/6.34 tff(21911,plain,
% 8.41/6.34 (((~v127(constB169, bitIndex2)) <=> v130(constB169, bitIndex2)) | (~v127(constB169, bitIndex2)) | v130(constB169, bitIndex2)),
% 8.41/6.34 inference(tautology,[status(thm)],[])).
% 8.41/6.34 tff(21912,plain,
% 8.41/6.34 (~v127(constB169, bitIndex2)),
% 8.41/6.34 inference(unit_resolution,[status(thm)],[21911, 21910, 15829])).
% 8.41/6.34 tff(21913,plain,
% 8.41/6.34 (((~v129(constB170, bitIndex2)) <=> v127(constB169, bitIndex2)) | (~v129(constB170, bitIndex2)) | v127(constB169, bitIndex2)),
% 8.41/6.34 inference(tautology,[status(thm)],[])).
% 8.41/6.34 tff(21914,plain,
% 8.41/6.34 (~v129(constB170, bitIndex2)),
% 8.41/6.34 inference(unit_resolution,[status(thm)],[21913, 21912, 15815])).
% 8.41/6.34 tff(21915,plain,
% 8.41/6.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB169, constB170)) | (v100(constB170) <=> (~((~v101(constB170)) | (~v110(constB170))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB169, constB170)) | (v100(constB170) <=> (~((~v101(constB170)) | (~v110(constB170))))))),
% 8.41/6.34 inference(rewrite,[status(thm)],[])).
% 8.41/6.34 tff(21916,plain,
% 8.41/6.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB169, constB170)) | (v100(constB170) <=> (~((~v101(constB170)) | (~v110(constB170))))))),
% 8.41/6.34 inference(quant_inst,[status(thm)],[])).
% 8.41/6.34 tff(21917,plain,
% 8.41/6.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB169, constB170)) | (v100(constB170) <=> (~((~v101(constB170)) | (~v110(constB170)))))),
% 8.41/6.34 inference(modus_ponens,[status(thm)],[21916, 21915])).
% 8.41/6.34 tff(21918,plain,
% 8.41/6.34 (v100(constB170) <=> (~((~v101(constB170)) | (~v110(constB170))))),
% 8.41/6.34 inference(unit_resolution,[status(thm)],[21917, 15809, 445])).
% 8.41/6.34 tff(21919,plain,
% 8.41/6.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB169, constB170)) | (v101(constB170) <=> (~((~v1(constB170)) | (~v102(constB170))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB169, constB170)) | (v101(constB170) <=> (~((~v1(constB170)) | (~v102(constB170))))))),
% 8.41/6.34 inference(rewrite,[status(thm)],[])).
% 8.41/6.34 tff(21920,plain,
% 8.41/6.34 (((~nextState(constB169, constB170)) | (v101(constB170) <=> (~((~v102(constB170)) | (~v1(constB170)))))) <=> ((~nextState(constB169, constB170)) | (v101(constB170) <=> (~((~v1(constB170)) | (~v102(constB170))))))),
% 8.41/6.34 inference(rewrite,[status(thm)],[])).
% 8.41/6.34 tff(21921,plain,
% 8.41/6.34 (((~![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) <=> (~((~v1(constB170)) | (~v102(constB170)))))))),
% 8.41/6.34 inference(monotonicity,[status(thm)],[21920])).
% 8.41/6.34 tff(21922,plain,
% 8.41/6.34 (((~![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) <=> (~((~v1(constB170)) | (~v102(constB170))))))),
% 8.41/6.34 inference(transitivity,[status(thm)],[21921, 21919])).
% 8.41/6.34 tff(21923,plain,
% 8.41/6.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB169, constB170)) | (v101(constB170) <=> (~((~v102(constB170)) | (~v1(constB170))))))),
% 8.41/6.34 inference(quant_inst,[status(thm)],[])).
% 8.41/6.34 tff(21924,plain,
% 8.41/6.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB169, constB170)) | (v101(constB170) <=> (~((~v1(constB170)) | (~v102(constB170)))))),
% 8.41/6.34 inference(modus_ponens,[status(thm)],[21923, 21922])).
% 8.41/6.34 tff(21925,plain,
% 8.41/6.34 (v101(constB170) <=> (~((~v1(constB170)) | (~v102(constB170))))),
% 8.41/6.34 inference(unit_resolution,[status(thm)],[21924, 15809, 465])).
% 8.41/6.34 tff(21926,plain,
% 8.41/6.34 (((~![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)))),
% 8.41/6.34 inference(rewrite,[status(thm)],[])).
% 8.41/6.34 tff(21927,plain,
% 8.41/6.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB169, constB170)) | ((~v102(constB170)) <=> v104(constB170)))),
% 8.41/6.34 inference(quant_inst,[status(thm)],[])).
% 8.41/6.34 tff(21928,plain,
% 8.41/6.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB169, constB170)) | ((~v102(constB170)) <=> v104(constB170))),
% 8.41/6.34 inference(modus_ponens,[status(thm)],[21927, 21926])).
% 8.41/6.34 tff(21929,plain,
% 8.41/6.34 ((~v102(constB170)) <=> v104(constB170)),
% 8.41/6.34 inference(unit_resolution,[status(thm)],[21928, 15809, 3244])).
% 8.41/6.34 tff(21930,plain,
% 8.41/6.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB169, constB170)) | (v104(constB170) <=> v1(constB169)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB169, constB170)) | (v104(constB170) <=> v1(constB169)))),
% 8.41/6.34 inference(rewrite,[status(thm)],[])).
% 8.41/6.34 tff(21931,plain,
% 8.41/6.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB169, constB170)) | (v104(constB170) <=> v1(constB169)))),
% 8.41/6.34 inference(quant_inst,[status(thm)],[])).
% 8.41/6.34 tff(21932,plain,
% 8.41/6.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB169, constB170)) | (v104(constB170) <=> v1(constB169))),
% 8.41/6.34 inference(modus_ponens,[status(thm)],[21931, 21930])).
% 8.41/6.34 tff(21933,plain,
% 8.41/6.34 (v104(constB170) <=> v1(constB169)),
% 8.41/6.34 inference(unit_resolution,[status(thm)],[21932, 15809, 3258])).
% 8.41/6.34 tff(21934,plain,
% 8.41/6.34 ((~(v104(constB170) <=> v1(constB169))) | (~v104(constB170)) | v1(constB169)),
% 8.41/6.34 inference(tautology,[status(thm)],[])).
% 8.41/6.34 tff(21935,plain,
% 8.41/6.34 ((~(v104(constB170) <=> v1(constB169))) | (~v104(constB170))),
% 8.41/6.34 inference(unit_resolution,[status(thm)],[21934, 15853])).
% 8.41/6.34 tff(21936,plain,
% 8.41/6.34 (~v104(constB170)),
% 8.41/6.34 inference(unit_resolution,[status(thm)],[21935, 21933])).
% 8.41/6.34 tff(21937,plain,
% 8.41/6.34 ((~((~v102(constB170)) <=> v104(constB170))) | v102(constB170) | v104(constB170)),
% 8.41/6.34 inference(tautology,[status(thm)],[])).
% 8.41/6.34 tff(21938,plain,
% 8.41/6.34 (v102(constB170)),
% 8.41/6.34 inference(unit_resolution,[status(thm)],[21937, 21936, 21929])).
% 8.41/6.34 tff(21939,plain,
% 8.41/6.34 (v1(constB170) <=> v1(constB170)),
% 8.41/6.34 inference(rewrite,[status(thm)],[])).
% 8.41/6.34 tff(21940,axiom,(v1(constB170)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_170')).
% 8.41/6.34 tff(21941,plain,
% 8.41/6.34 (v1(constB170)),
% 8.41/6.34 inference(modus_ponens,[status(thm)],[21940, 21939])).
% 8.41/6.34 tff(21942,plain,
% 8.41/6.34 ((~((~v1(constB170)) | (~v102(constB170)))) | (~v1(constB170)) | (~v102(constB170))),
% 8.41/6.34 inference(tautology,[status(thm)],[])).
% 8.41/6.34 tff(21943,plain,
% 8.41/6.34 ((~((~v1(constB170)) | (~v102(constB170)))) | (~v102(constB170))),
% 8.41/6.34 inference(unit_resolution,[status(thm)],[21942, 21941])).
% 8.41/6.34 tff(21944,plain,
% 8.41/6.34 (~((~v1(constB170)) | (~v102(constB170)))),
% 8.41/6.34 inference(unit_resolution,[status(thm)],[21943, 21938])).
% 8.41/6.34 tff(21945,plain,
% 8.41/6.34 ((~(v101(constB170) <=> (~((~v1(constB170)) | (~v102(constB170)))))) | v101(constB170) | ((~v1(constB170)) | (~v102(constB170)))),
% 8.41/6.34 inference(tautology,[status(thm)],[])).
% 8.41/6.34 tff(21946,plain,
% 8.41/6.34 (v101(constB170)),
% 8.41/6.34 inference(unit_resolution,[status(thm)],[21945, 21944, 21925])).
% 8.41/6.34 tff(21947,plain,
% 8.41/6.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB169, constB170)) | (v110(constB170) <=> v108(constB169)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB169, constB170)) | (v110(constB170) <=> v108(constB169)))),
% 8.41/6.34 inference(rewrite,[status(thm)],[])).
% 8.41/6.34 tff(21948,plain,
% 8.41/6.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB169, constB170)) | (v110(constB170) <=> v108(constB169)))),
% 8.41/6.34 inference(quant_inst,[status(thm)],[])).
% 8.41/6.34 tff(21949,plain,
% 8.41/6.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB169, constB170)) | (v110(constB170) <=> v108(constB169))),
% 8.41/6.34 inference(modus_ponens,[status(thm)],[21948, 21947])).
% 8.41/6.34 tff(21950,plain,
% 8.41/6.34 (v110(constB170) <=> v108(constB169)),
% 8.41/6.34 inference(unit_resolution,[status(thm)],[21949, 15809, 3285])).
% 8.41/6.34 tff(21951,plain,
% 8.41/6.34 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB169) <=> (v111(constB169) | v112(constB169)))),
% 8.41/6.34 inference(quant_inst,[status(thm)],[])).
% 8.41/6.34 tff(21952,plain,
% 8.41/6.34 (v108(constB169) <=> (v111(constB169) | v112(constB169))),
% 8.41/6.34 inference(unit_resolution,[status(thm)],[21951, 3296])).
% 8.41/6.34 tff(21953,plain,
% 8.41/6.34 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB169) <=> (~((~v113(constB169)) | (~v126(constB169)))))),
% 8.41/6.34 inference(quant_inst,[status(thm)],[])).
% 8.41/6.34 tff(21954,plain,
% 8.41/6.34 (v112(constB169) <=> (~((~v113(constB169)) | (~v126(constB169))))),
% 8.41/6.34 inference(unit_resolution,[status(thm)],[21953, 3308])).
% 8.41/6.34 tff(21955,plain,
% 8.41/6.34 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB169) <=> (v114(constB169) | v125(constB169)))),
% 8.41/6.34 inference(quant_inst,[status(thm)],[])).
% 8.41/6.34 tff(21956,plain,
% 8.41/6.34 (v113(constB169) <=> (v114(constB169) | v125(constB169))),
% 8.41/6.34 inference(unit_resolution,[status(thm)],[21955, 3317])).
% 8.41/6.34 tff(21957,plain,
% 8.41/6.34 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB169) <=> (v115(constB169) | v124(constB169)))),
% 8.41/6.34 inference(quant_inst,[status(thm)],[])).
% 8.41/6.34 tff(21958,plain,
% 8.41/6.34 (v114(constB169) <=> (v115(constB169) | v124(constB169))),
% 8.41/6.34 inference(unit_resolution,[status(thm)],[21957, 3326])).
% 8.41/6.34 tff(21959,plain,
% 8.41/6.34 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB169) <=> (v116(constB169) | v123(constB169)))),
% 8.41/6.34 inference(quant_inst,[status(thm)],[])).
% 8.41/6.34 tff(21960,plain,
% 8.41/6.34 (v115(constB169) <=> (v116(constB169) | v123(constB169))),
% 8.41/6.34 inference(unit_resolution,[status(thm)],[21959, 3335])).
% 8.41/6.34 tff(21961,plain,
% 8.41/6.34 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB169) <=> (v117(constB169) | v122(constB169)))),
% 8.41/6.34 inference(quant_inst,[status(thm)],[])).
% 8.41/6.34 tff(21962,plain,
% 8.41/6.34 (v116(constB169) <=> (v117(constB169) | v122(constB169))),
% 8.41/6.34 inference(unit_resolution,[status(thm)],[21961, 3344])).
% 8.41/6.34 tff(21963,plain,
% 8.41/6.34 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB169) <=> (v118(constB169) | v121(constB169)))),
% 8.41/6.34 inference(quant_inst,[status(thm)],[])).
% 8.41/6.34 tff(21964,plain,
% 8.41/6.34 (v117(constB169) <=> (v118(constB169) | v121(constB169))),
% 8.41/6.34 inference(unit_resolution,[status(thm)],[21963, 3353])).
% 8.41/6.34 tff(21965,plain,
% 8.41/6.34 ((v118(constB169) | v121(constB169)) | (~v121(constB169))),
% 8.41/6.34 inference(tautology,[status(thm)],[])).
% 8.41/6.34 tff(21966,plain,
% 8.41/6.34 (v118(constB169) | v121(constB169)),
% 8.41/6.34 inference(unit_resolution,[status(thm)],[21965, 21903])).
% 8.41/6.34 tff(21967,plain,
% 8.41/6.34 ((~(v117(constB169) <=> (v118(constB169) | v121(constB169)))) | v117(constB169) | (~(v118(constB169) | v121(constB169)))),
% 8.41/6.34 inference(tautology,[status(thm)],[])).
% 8.41/6.34 tff(21968,plain,
% 8.41/6.34 (v117(constB169)),
% 8.41/6.34 inference(unit_resolution,[status(thm)],[21967, 21966, 21964])).
% 8.41/6.34 tff(21969,plain,
% 8.41/6.34 ((v117(constB169) | v122(constB169)) | (~v117(constB169))),
% 8.41/6.34 inference(tautology,[status(thm)],[])).
% 8.41/6.34 tff(21970,plain,
% 8.41/6.34 (v117(constB169) | v122(constB169)),
% 8.41/6.34 inference(unit_resolution,[status(thm)],[21969, 21968])).
% 8.41/6.34 tff(21971,plain,
% 8.41/6.34 ((~(v116(constB169) <=> (v117(constB169) | v122(constB169)))) | v116(constB169) | (~(v117(constB169) | v122(constB169)))),
% 8.41/6.34 inference(tautology,[status(thm)],[])).
% 8.41/6.34 tff(21972,plain,
% 8.41/6.34 (v116(constB169)),
% 8.41/6.34 inference(unit_resolution,[status(thm)],[21971, 21970, 21962])).
% 8.41/6.34 tff(21973,plain,
% 8.41/6.34 ((v116(constB169) | v123(constB169)) | (~v116(constB169))),
% 8.41/6.34 inference(tautology,[status(thm)],[])).
% 8.41/6.34 tff(21974,plain,
% 8.41/6.34 (v116(constB169) | v123(constB169)),
% 8.41/6.34 inference(unit_resolution,[status(thm)],[21973, 21972])).
% 8.41/6.34 tff(21975,plain,
% 8.41/6.34 ((~(v115(constB169) <=> (v116(constB169) | v123(constB169)))) | v115(constB169) | (~(v116(constB169) | v123(constB169)))),
% 8.41/6.34 inference(tautology,[status(thm)],[])).
% 8.41/6.34 tff(21976,plain,
% 8.41/6.34 (v115(constB169)),
% 8.41/6.34 inference(unit_resolution,[status(thm)],[21975, 21974, 21960])).
% 8.41/6.34 tff(21977,plain,
% 8.41/6.34 ((v115(constB169) | v124(constB169)) | (~v115(constB169))),
% 8.41/6.34 inference(tautology,[status(thm)],[])).
% 8.41/6.34 tff(21978,plain,
% 8.41/6.34 (v115(constB169) | v124(constB169)),
% 8.41/6.34 inference(unit_resolution,[status(thm)],[21977, 21976])).
% 8.41/6.34 tff(21979,plain,
% 8.41/6.34 ((~(v114(constB169) <=> (v115(constB169) | v124(constB169)))) | v114(constB169) | (~(v115(constB169) | v124(constB169)))),
% 8.41/6.34 inference(tautology,[status(thm)],[])).
% 8.41/6.34 tff(21980,plain,
% 8.41/6.34 (v114(constB169)),
% 8.41/6.34 inference(unit_resolution,[status(thm)],[21979, 21978, 21958])).
% 8.41/6.34 tff(21981,plain,
% 8.41/6.34 ((v114(constB169) | v125(constB169)) | (~v114(constB169))),
% 8.41/6.34 inference(tautology,[status(thm)],[])).
% 8.41/6.34 tff(21982,plain,
% 8.41/6.34 (v114(constB169) | v125(constB169)),
% 8.41/6.34 inference(unit_resolution,[status(thm)],[21981, 21980])).
% 8.41/6.34 tff(21983,plain,
% 8.41/6.34 ((~(v113(constB169) <=> (v114(constB169) | v125(constB169)))) | v113(constB169) | (~(v114(constB169) | v125(constB169)))),
% 8.41/6.34 inference(tautology,[status(thm)],[])).
% 8.41/6.34 tff(21984,plain,
% 8.41/6.34 (v113(constB169)),
% 8.41/6.34 inference(unit_resolution,[status(thm)],[21983, 21982, 21956])).
% 8.41/6.34 tff(21985,plain,
% 8.41/6.34 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB169)) <=> v111(constB169))),
% 8.41/6.34 inference(quant_inst,[status(thm)],[])).
% 8.41/6.34 tff(21986,plain,
% 8.41/6.34 ((~v126(constB169)) <=> v111(constB169)),
% 8.41/6.34 inference(unit_resolution,[status(thm)],[21985, 3396])).
% 8.41/6.34 tff(21987,plain,
% 8.41/6.34 ((~((~v126(constB169)) <=> v111(constB169))) | v126(constB169) | v111(constB169)),
% 8.41/6.34 inference(tautology,[status(thm)],[])).
% 8.41/6.34 tff(21988,plain,
% 8.41/6.34 ((~((~v126(constB169)) <=> v111(constB169))) | v126(constB169)),
% 8.41/6.34 inference(unit_resolution,[status(thm)],[21987, 15822])).
% 8.41/6.34 tff(21989,plain,
% 8.41/6.34 (v126(constB169)),
% 8.41/6.34 inference(unit_resolution,[status(thm)],[21988, 21986])).
% 8.41/6.34 tff(21990,plain,
% 8.41/6.34 ((~((~v113(constB169)) | (~v126(constB169)))) | (~v113(constB169)) | (~v126(constB169))),
% 8.41/6.34 inference(tautology,[status(thm)],[])).
% 8.41/6.34 tff(21991,plain,
% 8.41/6.34 ((~((~v113(constB169)) | (~v126(constB169)))) | (~v113(constB169))),
% 8.41/6.34 inference(unit_resolution,[status(thm)],[21990, 21989])).
% 8.41/6.34 tff(21992,plain,
% 8.41/6.34 (~((~v113(constB169)) | (~v126(constB169)))),
% 8.41/6.34 inference(unit_resolution,[status(thm)],[21991, 21984])).
% 8.41/6.34 tff(21993,plain,
% 8.41/6.34 ((~(v112(constB169) <=> (~((~v113(constB169)) | (~v126(constB169)))))) | v112(constB169) | ((~v113(constB169)) | (~v126(constB169)))),
% 8.41/6.34 inference(tautology,[status(thm)],[])).
% 8.41/6.34 tff(21994,plain,
% 8.41/6.34 (v112(constB169)),
% 8.41/6.34 inference(unit_resolution,[status(thm)],[21993, 21992, 21954])).
% 8.41/6.34 tff(21995,plain,
% 8.41/6.34 ((v111(constB169) | v112(constB169)) | (~v112(constB169))),
% 8.41/6.34 inference(tautology,[status(thm)],[])).
% 8.41/6.34 tff(21996,plain,
% 8.41/6.34 (v111(constB169) | v112(constB169)),
% 8.41/6.34 inference(unit_resolution,[status(thm)],[21995, 21994])).
% 8.41/6.34 tff(21997,plain,
% 8.41/6.34 ((~(v108(constB169) <=> (v111(constB169) | v112(constB169)))) | v108(constB169) | (~(v111(constB169) | v112(constB169)))),
% 8.41/6.34 inference(tautology,[status(thm)],[])).
% 8.41/6.34 tff(21998,plain,
% 8.41/6.34 (v108(constB169)),
% 8.41/6.34 inference(unit_resolution,[status(thm)],[21997, 21996, 21952])).
% 8.41/6.34 tff(21999,plain,
% 8.41/6.34 ((~(v110(constB170) <=> v108(constB169))) | v110(constB170) | (~v108(constB169))),
% 8.41/6.34 inference(tautology,[status(thm)],[])).
% 8.41/6.34 tff(22000,plain,
% 8.41/6.34 (v110(constB170)),
% 8.41/6.34 inference(unit_resolution,[status(thm)],[21999, 21998, 21950])).
% 8.41/6.34 tff(22001,plain,
% 8.41/6.34 ((~((~v101(constB170)) | (~v110(constB170)))) | (~v101(constB170)) | (~v110(constB170))),
% 8.41/6.34 inference(tautology,[status(thm)],[])).
% 8.41/6.34 tff(22002,plain,
% 8.41/6.34 (~((~v101(constB170)) | (~v110(constB170)))),
% 8.41/6.34 inference(unit_resolution,[status(thm)],[22001, 22000, 21946])).
% 8.41/6.34 tff(22003,plain,
% 8.41/6.34 ((~(v100(constB170) <=> (~((~v101(constB170)) | (~v110(constB170)))))) | v100(constB170) | ((~v101(constB170)) | (~v110(constB170)))),
% 8.41/6.34 inference(tautology,[status(thm)],[])).
% 8.41/6.34 tff(22004,plain,
% 8.41/6.34 (v100(constB170)),
% 8.41/6.34 inference(unit_resolution,[status(thm)],[22003, 22002, 21918])).
% 8.41/6.34 tff(22005,plain,
% 8.41/6.34 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB170)) | (~(((~v90(constB170, bitIndex0)) <=> v129(constB170, bitIndex0)) | ((~v90(constB170, bitIndex2)) <=> v129(constB170, bitIndex2)) | ((~v90(constB170, bitIndex1)) <=> v129(constB170, bitIndex1)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB170)) | (~(((~v90(constB170, bitIndex0)) <=> v129(constB170, bitIndex0)) | ((~v90(constB170, bitIndex2)) <=> v129(constB170, bitIndex2)) | ((~v90(constB170, bitIndex1)) <=> v129(constB170, bitIndex1)))))),
% 8.41/6.34 inference(rewrite,[status(thm)],[])).
% 8.41/6.34 tff(22006,plain,
% 8.41/6.34 (((~v100(constB170)) | (~(((~v90(constB170, bitIndex2)) <=> v129(constB170, bitIndex2)) | ((~v90(constB170, bitIndex1)) <=> v129(constB170, bitIndex1)) | ((~v90(constB170, bitIndex0)) <=> v129(constB170, bitIndex0))))) <=> ((~v100(constB170)) | (~(((~v90(constB170, bitIndex0)) <=> v129(constB170, bitIndex0)) | ((~v90(constB170, bitIndex2)) <=> v129(constB170, bitIndex2)) | ((~v90(constB170, bitIndex1)) <=> v129(constB170, bitIndex1)))))),
% 8.41/6.34 inference(rewrite,[status(thm)],[])).
% 8.41/6.34 tff(22007,plain,
% 8.41/6.34 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB170)) | (~(((~v90(constB170, bitIndex2)) <=> v129(constB170, bitIndex2)) | ((~v90(constB170, bitIndex1)) <=> v129(constB170, bitIndex1)) | ((~v90(constB170, bitIndex0)) <=> v129(constB170, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB170)) | (~(((~v90(constB170, bitIndex0)) <=> v129(constB170, bitIndex0)) | ((~v90(constB170, bitIndex2)) <=> v129(constB170, bitIndex2)) | ((~v90(constB170, bitIndex1)) <=> v129(constB170, bitIndex1))))))),
% 8.41/6.34 inference(monotonicity,[status(thm)],[22006])).
% 8.41/6.34 tff(22008,plain,
% 8.41/6.34 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB170)) | (~(((~v90(constB170, bitIndex2)) <=> v129(constB170, bitIndex2)) | ((~v90(constB170, bitIndex1)) <=> v129(constB170, bitIndex1)) | ((~v90(constB170, bitIndex0)) <=> v129(constB170, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB170)) | (~(((~v90(constB170, bitIndex0)) <=> v129(constB170, bitIndex0)) | ((~v90(constB170, bitIndex2)) <=> v129(constB170, bitIndex2)) | ((~v90(constB170, bitIndex1)) <=> v129(constB170, bitIndex1)))))),
% 8.41/6.35 inference(transitivity,[status(thm)],[22007, 22005])).
% 8.41/6.35 tff(22009,plain,
% 8.41/6.35 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB170)) | (~(((~v90(constB170, bitIndex2)) <=> v129(constB170, bitIndex2)) | ((~v90(constB170, bitIndex1)) <=> v129(constB170, bitIndex1)) | ((~v90(constB170, bitIndex0)) <=> v129(constB170, bitIndex0)))))),
% 8.41/6.35 inference(quant_inst,[status(thm)],[])).
% 8.41/6.35 tff(22010,plain,
% 8.41/6.35 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB170)) | (~(((~v90(constB170, bitIndex0)) <=> v129(constB170, bitIndex0)) | ((~v90(constB170, bitIndex2)) <=> v129(constB170, bitIndex2)) | ((~v90(constB170, bitIndex1)) <=> v129(constB170, bitIndex1))))),
% 8.41/6.35 inference(modus_ponens,[status(thm)],[22009, 22008])).
% 8.41/6.35 tff(22011,plain,
% 8.41/6.35 ((~v100(constB170)) | (~(((~v90(constB170, bitIndex0)) <=> v129(constB170, bitIndex0)) | ((~v90(constB170, bitIndex2)) <=> v129(constB170, bitIndex2)) | ((~v90(constB170, bitIndex1)) <=> v129(constB170, bitIndex1))))),
% 8.41/6.35 inference(unit_resolution,[status(thm)],[22010, 3429])).
% 8.41/6.35 tff(22012,plain,
% 8.41/6.35 (~(((~v90(constB170, bitIndex0)) <=> v129(constB170, bitIndex0)) | ((~v90(constB170, bitIndex2)) <=> v129(constB170, bitIndex2)) | ((~v90(constB170, bitIndex1)) <=> v129(constB170, bitIndex1)))),
% 8.41/6.35 inference(unit_resolution,[status(thm)],[22011, 22004])).
% 8.41/6.35 tff(22013,plain,
% 8.41/6.35 ((((~v90(constB170, bitIndex0)) <=> v129(constB170, bitIndex0)) | ((~v90(constB170, bitIndex2)) <=> v129(constB170, bitIndex2)) | ((~v90(constB170, bitIndex1)) <=> v129(constB170, bitIndex1))) | (~((~v90(constB170, bitIndex2)) <=> v129(constB170, bitIndex2)))),
% 8.41/6.35 inference(tautology,[status(thm)],[])).
% 8.41/6.35 tff(22014,plain,
% 8.41/6.35 (~((~v90(constB170, bitIndex2)) <=> v129(constB170, bitIndex2))),
% 8.41/6.35 inference(unit_resolution,[status(thm)],[22013, 22012])).
% 8.41/6.35 tff(22015,plain,
% 8.41/6.35 (((~v90(constB170, bitIndex2)) <=> v129(constB170, bitIndex2)) | (~v90(constB170, bitIndex2)) | v129(constB170, bitIndex2)),
% 8.41/6.35 inference(tautology,[status(thm)],[])).
% 8.41/6.35 tff(22016,plain,
% 8.41/6.35 (~v90(constB170, bitIndex2)),
% 8.41/6.35 inference(unit_resolution,[status(thm)],[22015, 22014, 21914])).
% 8.41/6.35 tff(22017,plain,
% 8.41/6.35 (((~v90(constB171, bitIndex2)) <=> v90(constB170, bitIndex2)) | (~v90(constB171, bitIndex2)) | v90(constB170, bitIndex2)),
% 8.41/6.35 inference(tautology,[status(thm)],[])).
% 8.41/6.35 tff(22018,plain,
% 8.41/6.35 (~v90(constB171, bitIndex2)),
% 8.41/6.35 inference(unit_resolution,[status(thm)],[22017, 22016, 15806])).
% 8.41/6.35 tff(22019,plain,
% 8.41/6.35 ((((~v90(constB171, bitIndex1)) <=> v90(constB170, bitIndex1)) | ((~v90(constB171, bitIndex2)) <=> v90(constB170, bitIndex2)) | ((~v90(constB171, bitIndex0)) <=> v90(constB170, bitIndex0))) | (~((~v90(constB171, bitIndex0)) <=> v90(constB170, bitIndex0)))),
% 8.41/6.35 inference(tautology,[status(thm)],[])).
% 8.41/6.35 tff(22020,plain,
% 8.41/6.35 (~((~v90(constB171, bitIndex0)) <=> v90(constB170, bitIndex0))),
% 8.41/6.35 inference(unit_resolution,[status(thm)],[22019, 15804])).
% 8.41/6.35 tff(22021,plain,
% 8.41/6.35 ((((~v129(constB170, bitIndex2)) <=> v127(constB169, bitIndex2)) | ((~v129(constB170, bitIndex1)) <=> v127(constB169, bitIndex1)) | ((~v129(constB170, bitIndex0)) <=> v127(constB169, bitIndex0))) | (~((~v129(constB170, bitIndex0)) <=> v127(constB169, bitIndex0)))),
% 8.41/6.35 inference(tautology,[status(thm)],[])).
% 8.41/6.35 tff(22022,plain,
% 8.41/6.35 (~((~v129(constB170, bitIndex0)) <=> v127(constB169, bitIndex0))),
% 8.41/6.35 inference(unit_resolution,[status(thm)],[22021, 15813])).
% 8.41/6.35 tff(22023,plain,
% 8.41/6.35 ((((~v127(constB169, bitIndex2)) <=> v130(constB169, bitIndex2)) | ((~v127(constB169, bitIndex1)) <=> v130(constB169, bitIndex1)) | ((~v127(constB169, bitIndex0)) <=> v130(constB169, bitIndex0))) | (~((~v127(constB169, bitIndex0)) <=> v130(constB169, bitIndex0)))),
% 8.41/6.35 inference(tautology,[status(thm)],[])).
% 8.41/6.35 tff(22024,plain,
% 8.41/6.35 (~((~v127(constB169, bitIndex0)) <=> v130(constB169, bitIndex0))),
% 8.41/6.35 inference(unit_resolution,[status(thm)],[22023, 15827])).
% 8.41/6.35 tff(22025,plain,
% 8.41/6.35 ((v130(constB169, bitIndex2) | (~v130(constB169, bitIndex1)) | (~v130(constB169, bitIndex0))) | v130(constB169, bitIndex0)),
% 8.41/6.35 inference(tautology,[status(thm)],[])).
% 8.41/6.35 tff(22026,plain,
% 8.41/6.35 (v130(constB169, bitIndex0)),
% 8.41/6.35 inference(unit_resolution,[status(thm)],[22025, 21908])).
% 8.41/6.35 tff(22027,plain,
% 8.41/6.35 (((~v127(constB169, bitIndex0)) <=> v130(constB169, bitIndex0)) | v127(constB169, bitIndex0) | (~v130(constB169, bitIndex0))),
% 8.41/6.35 inference(tautology,[status(thm)],[])).
% 8.41/6.35 tff(22028,plain,
% 8.41/6.35 (v127(constB169, bitIndex0)),
% 8.41/6.35 inference(unit_resolution,[status(thm)],[22027, 22026, 22024])).
% 8.41/6.35 tff(22029,plain,
% 8.41/6.35 (((~v129(constB170, bitIndex0)) <=> v127(constB169, bitIndex0)) | v129(constB170, bitIndex0) | (~v127(constB169, bitIndex0))),
% 8.41/6.35 inference(tautology,[status(thm)],[])).
% 8.41/6.35 tff(22030,plain,
% 8.41/6.35 (v129(constB170, bitIndex0)),
% 8.41/6.35 inference(unit_resolution,[status(thm)],[22029, 22028, 22022])).
% 8.41/6.35 tff(22031,plain,
% 8.41/6.35 ((((~v90(constB170, bitIndex0)) <=> v129(constB170, bitIndex0)) | ((~v90(constB170, bitIndex2)) <=> v129(constB170, bitIndex2)) | ((~v90(constB170, bitIndex1)) <=> v129(constB170, bitIndex1))) | (~((~v90(constB170, bitIndex0)) <=> v129(constB170, bitIndex0)))),
% 8.41/6.35 inference(tautology,[status(thm)],[])).
% 8.41/6.35 tff(22032,plain,
% 8.41/6.35 (~((~v90(constB170, bitIndex0)) <=> v129(constB170, bitIndex0))),
% 8.41/6.35 inference(unit_resolution,[status(thm)],[22031, 22012])).
% 8.41/6.35 tff(22033,plain,
% 8.41/6.35 (((~v90(constB170, bitIndex0)) <=> v129(constB170, bitIndex0)) | v90(constB170, bitIndex0) | (~v129(constB170, bitIndex0))),
% 8.41/6.35 inference(tautology,[status(thm)],[])).
% 8.41/6.35 tff(22034,plain,
% 8.41/6.35 (v90(constB170, bitIndex0)),
% 8.41/6.35 inference(unit_resolution,[status(thm)],[22033, 22032, 22030])).
% 8.41/6.35 tff(22035,plain,
% 8.41/6.35 (((~v90(constB171, bitIndex0)) <=> v90(constB170, bitIndex0)) | v90(constB171, bitIndex0) | (~v90(constB170, bitIndex0))),
% 8.41/6.35 inference(tautology,[status(thm)],[])).
% 8.41/6.35 tff(22036,plain,
% 8.41/6.35 (v90(constB171, bitIndex0)),
% 8.41/6.35 inference(unit_resolution,[status(thm)],[22035, 22034, 22020])).
% 8.41/6.35 tff(22037,plain,
% 8.41/6.35 ((((~v90(constB171, bitIndex1)) <=> v90(constB170, bitIndex1)) | ((~v90(constB171, bitIndex2)) <=> v90(constB170, bitIndex2)) | ((~v90(constB171, bitIndex0)) <=> v90(constB170, bitIndex0))) | (~((~v90(constB171, bitIndex1)) <=> v90(constB170, bitIndex1)))),
% 8.41/6.35 inference(tautology,[status(thm)],[])).
% 8.41/6.35 tff(22038,plain,
% 8.41/6.35 (~((~v90(constB171, bitIndex1)) <=> v90(constB170, bitIndex1))),
% 8.41/6.35 inference(unit_resolution,[status(thm)],[22037, 15804])).
% 8.41/6.35 tff(22039,plain,
% 8.41/6.35 ((((~v129(constB170, bitIndex2)) <=> v127(constB169, bitIndex2)) | ((~v129(constB170, bitIndex1)) <=> v127(constB169, bitIndex1)) | ((~v129(constB170, bitIndex0)) <=> v127(constB169, bitIndex0))) | (~((~v129(constB170, bitIndex1)) <=> v127(constB169, bitIndex1)))),
% 8.41/6.35 inference(tautology,[status(thm)],[])).
% 8.41/6.35 tff(22040,plain,
% 8.41/6.35 (~((~v129(constB170, bitIndex1)) <=> v127(constB169, bitIndex1))),
% 8.41/6.35 inference(unit_resolution,[status(thm)],[22039, 15813])).
% 8.41/6.35 tff(22041,plain,
% 8.41/6.35 ((((~v127(constB169, bitIndex2)) <=> v130(constB169, bitIndex2)) | ((~v127(constB169, bitIndex1)) <=> v130(constB169, bitIndex1)) | ((~v127(constB169, bitIndex0)) <=> v130(constB169, bitIndex0))) | (~((~v127(constB169, bitIndex1)) <=> v130(constB169, bitIndex1)))),
% 8.41/6.35 inference(tautology,[status(thm)],[])).
% 8.41/6.35 tff(22042,plain,
% 8.41/6.35 (~((~v127(constB169, bitIndex1)) <=> v130(constB169, bitIndex1))),
% 8.41/6.35 inference(unit_resolution,[status(thm)],[22041, 15827])).
% 8.41/6.35 tff(22043,plain,
% 8.41/6.35 ((v130(constB169, bitIndex2) | (~v130(constB169, bitIndex1)) | (~v130(constB169, bitIndex0))) | v130(constB169, bitIndex1)),
% 8.41/6.35 inference(tautology,[status(thm)],[])).
% 8.41/6.35 tff(22044,plain,
% 8.41/6.35 (v130(constB169, bitIndex1)),
% 8.41/6.35 inference(unit_resolution,[status(thm)],[22043, 21908])).
% 8.41/6.35 tff(22045,plain,
% 8.41/6.35 (((~v127(constB169, bitIndex1)) <=> v130(constB169, bitIndex1)) | v127(constB169, bitIndex1) | (~v130(constB169, bitIndex1))),
% 8.41/6.35 inference(tautology,[status(thm)],[])).
% 8.41/6.35 tff(22046,plain,
% 8.41/6.35 (v127(constB169, bitIndex1)),
% 8.41/6.35 inference(unit_resolution,[status(thm)],[22045, 22044, 22042])).
% 8.41/6.35 tff(22047,plain,
% 8.41/6.35 (((~v129(constB170, bitIndex1)) <=> v127(constB169, bitIndex1)) | v129(constB170, bitIndex1) | (~v127(constB169, bitIndex1))),
% 8.41/6.35 inference(tautology,[status(thm)],[])).
% 8.41/6.35 tff(22048,plain,
% 8.41/6.35 (v129(constB170, bitIndex1)),
% 8.41/6.35 inference(unit_resolution,[status(thm)],[22047, 22046, 22040])).
% 8.41/6.35 tff(22049,plain,
% 8.41/6.35 ((((~v90(constB170, bitIndex0)) <=> v129(constB170, bitIndex0)) | ((~v90(constB170, bitIndex2)) <=> v129(constB170, bitIndex2)) | ((~v90(constB170, bitIndex1)) <=> v129(constB170, bitIndex1))) | (~((~v90(constB170, bitIndex1)) <=> v129(constB170, bitIndex1)))),
% 8.41/6.35 inference(tautology,[status(thm)],[])).
% 8.41/6.35 tff(22050,plain,
% 8.41/6.35 (~((~v90(constB170, bitIndex1)) <=> v129(constB170, bitIndex1))),
% 8.41/6.35 inference(unit_resolution,[status(thm)],[22049, 22012])).
% 8.41/6.35 tff(22051,plain,
% 8.41/6.35 (((~v90(constB170, bitIndex1)) <=> v129(constB170, bitIndex1)) | v90(constB170, bitIndex1) | (~v129(constB170, bitIndex1))),
% 8.41/6.35 inference(tautology,[status(thm)],[])).
% 8.41/6.35 tff(22052,plain,
% 8.41/6.35 (v90(constB170, bitIndex1)),
% 8.41/6.35 inference(unit_resolution,[status(thm)],[22051, 22050, 22048])).
% 8.41/6.35 tff(22053,plain,
% 8.41/6.35 (((~v90(constB171, bitIndex1)) <=> v90(constB170, bitIndex1)) | v90(constB171, bitIndex1) | (~v90(constB170, bitIndex1))),
% 8.41/6.35 inference(tautology,[status(thm)],[])).
% 8.41/6.35 tff(22054,plain,
% 8.41/6.35 (v90(constB171, bitIndex1)),
% 8.41/6.35 inference(unit_resolution,[status(thm)],[22053, 22052, 22038])).
% 8.41/6.35 tff(22055,plain,
% 8.41/6.35 ((~(v90(constB171, bitIndex2) | (~v90(constB171, bitIndex1)) | (~v90(constB171, bitIndex0)))) | v90(constB171, bitIndex2) | (~v90(constB171, bitIndex1)) | (~v90(constB171, bitIndex0))),
% 8.41/6.35 inference(tautology,[status(thm)],[])).
% 8.41/6.35 tff(22056,plain,
% 8.41/6.35 (~(v90(constB171, bitIndex2) | (~v90(constB171, bitIndex1)) | (~v90(constB171, bitIndex0)))),
% 8.41/6.35 inference(unit_resolution,[status(thm)],[22055, 22054, 22036, 22018])).
% 8.41/6.35 tff(22057,plain,
% 8.41/6.35 ((~(v122(constB171) <=> (~(v90(constB171, bitIndex2) | (~v90(constB171, bitIndex1)) | (~v90(constB171, bitIndex0)))))) | v122(constB171) | (v90(constB171, bitIndex2) | (~v90(constB171, bitIndex1)) | (~v90(constB171, bitIndex0)))),
% 8.41/6.35 inference(tautology,[status(thm)],[])).
% 8.41/6.35 tff(22058,plain,
% 8.41/6.35 (v122(constB171)),
% 8.41/6.35 inference(unit_resolution,[status(thm)],[22057, 22056, 15770])).
% 8.41/6.35 tff(22059,plain,
% 8.41/6.35 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB171)) | (~(v130(constB171, bitIndex1) | v130(constB171, bitIndex0) | (~v130(constB171, bitIndex2)))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | (~v122(constB171)) | (~(v130(constB171, bitIndex1) | v130(constB171, bitIndex0) | (~v130(constB171, bitIndex2)))))),
% 8.41/6.35 inference(rewrite,[status(thm)],[])).
% 8.41/6.35 tff(22060,plain,
% 8.41/6.35 (((~v122(constB171)) | (~(v130(constB171, bitIndex0) | v130(constB171, bitIndex1) | (~v130(constB171, bitIndex2))))) <=> ((~v122(constB171)) | (~(v130(constB171, bitIndex1) | v130(constB171, bitIndex0) | (~v130(constB171, bitIndex2)))))),
% 8.41/6.35 inference(rewrite,[status(thm)],[])).
% 8.41/6.35 tff(22061,plain,
% 8.41/6.35 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB171)) | (~(v130(constB171, bitIndex0) | v130(constB171, bitIndex1) | (~v130(constB171, bitIndex2)))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB171)) | (~(v130(constB171, bitIndex1) | v130(constB171, bitIndex0) | (~v130(constB171, bitIndex2))))))),
% 8.41/6.35 inference(monotonicity,[status(thm)],[22060])).
% 8.41/6.35 tff(22062,plain,
% 8.41/6.35 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB171)) | (~(v130(constB171, bitIndex0) | v130(constB171, bitIndex1) | (~v130(constB171, bitIndex2)))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | (~v122(constB171)) | (~(v130(constB171, bitIndex1) | v130(constB171, bitIndex0) | (~v130(constB171, bitIndex2)))))),
% 8.41/6.35 inference(transitivity,[status(thm)],[22061, 22059])).
% 8.41/6.35 tff(22063,plain,
% 8.41/6.35 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB171)) | (~(v130(constB171, bitIndex0) | v130(constB171, bitIndex1) | (~v130(constB171, bitIndex2)))))),
% 8.41/6.35 inference(quant_inst,[status(thm)],[])).
% 8.41/6.35 tff(22064,plain,
% 8.41/6.35 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | (~v122(constB171)) | (~(v130(constB171, bitIndex1) | v130(constB171, bitIndex0) | (~v130(constB171, bitIndex2))))),
% 8.41/6.35 inference(modus_ponens,[status(thm)],[22063, 22062])).
% 8.41/6.35 tff(22065,plain,
% 8.41/6.35 ((~v122(constB171)) | (~(v130(constB171, bitIndex1) | v130(constB171, bitIndex0) | (~v130(constB171, bitIndex2))))),
% 8.41/6.35 inference(unit_resolution,[status(thm)],[22064, 4223])).
% 8.41/6.35 tff(22066,plain,
% 8.41/6.35 (~(v130(constB171, bitIndex1) | v130(constB171, bitIndex0) | (~v130(constB171, bitIndex2)))),
% 8.41/6.35 inference(unit_resolution,[status(thm)],[22065, 22058])).
% 8.41/6.35 tff(22067,plain,
% 8.41/6.35 ((v130(constB171, bitIndex1) | v130(constB171, bitIndex0) | (~v130(constB171, bitIndex2))) | v130(constB171, bitIndex2)),
% 8.41/6.35 inference(tautology,[status(thm)],[])).
% 8.41/6.35 tff(22068,plain,
% 8.41/6.35 (v130(constB171, bitIndex2)),
% 8.41/6.35 inference(unit_resolution,[status(thm)],[22067, 22066])).
% 8.41/6.35 tff(22069,plain,
% 8.41/6.35 (((~v127(constB171, bitIndex2)) <=> v130(constB171, bitIndex2)) | v127(constB171, bitIndex2) | (~v130(constB171, bitIndex2))),
% 8.41/6.35 inference(tautology,[status(thm)],[])).
% 8.41/6.35 tff(22070,plain,
% 8.41/6.35 (v127(constB171, bitIndex2)),
% 8.41/6.35 inference(unit_resolution,[status(thm)],[22069, 22068, 15763])).
% 8.41/6.35 tff(22071,plain,
% 8.41/6.35 (((~v129(constB172, bitIndex2)) <=> v127(constB171, bitIndex2)) | v129(constB172, bitIndex2) | (~v127(constB171, bitIndex2))),
% 8.41/6.35 inference(tautology,[status(thm)],[])).
% 8.41/6.35 tff(22072,plain,
% 8.41/6.35 (v129(constB172, bitIndex2)),
% 8.41/6.35 inference(unit_resolution,[status(thm)],[22071, 22070, 15749])).
% 8.41/6.35 tff(22073,plain,
% 8.41/6.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB171, constB172)) | (v100(constB172) <=> (~((~v101(constB172)) | (~v110(constB172))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB171, constB172)) | (v100(constB172) <=> (~((~v101(constB172)) | (~v110(constB172))))))),
% 8.41/6.35 inference(rewrite,[status(thm)],[])).
% 8.41/6.35 tff(22074,plain,
% 8.41/6.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB171, constB172)) | (v100(constB172) <=> (~((~v101(constB172)) | (~v110(constB172))))))),
% 8.41/6.35 inference(quant_inst,[status(thm)],[])).
% 8.41/6.35 tff(22075,plain,
% 8.41/6.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB171, constB172)) | (v100(constB172) <=> (~((~v101(constB172)) | (~v110(constB172)))))),
% 8.41/6.35 inference(modus_ponens,[status(thm)],[22074, 22073])).
% 8.41/6.35 tff(22076,plain,
% 8.41/6.35 (v100(constB172) <=> (~((~v101(constB172)) | (~v110(constB172))))),
% 8.41/6.35 inference(unit_resolution,[status(thm)],[22075, 15743, 445])).
% 8.41/6.35 tff(22077,plain,
% 8.41/6.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB171, constB172)) | (v101(constB172) <=> (~((~v1(constB172)) | (~v102(constB172))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB171, constB172)) | (v101(constB172) <=> (~((~v1(constB172)) | (~v102(constB172))))))),
% 8.41/6.35 inference(rewrite,[status(thm)],[])).
% 8.41/6.35 tff(22078,plain,
% 8.41/6.35 (((~nextState(constB171, constB172)) | (v101(constB172) <=> (~((~v102(constB172)) | (~v1(constB172)))))) <=> ((~nextState(constB171, constB172)) | (v101(constB172) <=> (~((~v1(constB172)) | (~v102(constB172))))))),
% 8.41/6.35 inference(rewrite,[status(thm)],[])).
% 8.41/6.35 tff(22079,plain,
% 8.41/6.35 (((~![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) <=> (~((~v1(constB172)) | (~v102(constB172)))))))),
% 8.41/6.35 inference(monotonicity,[status(thm)],[22078])).
% 8.41/6.35 tff(22080,plain,
% 8.41/6.35 (((~![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) <=> (~((~v1(constB172)) | (~v102(constB172))))))),
% 8.41/6.35 inference(transitivity,[status(thm)],[22079, 22077])).
% 8.41/6.35 tff(22081,plain,
% 8.41/6.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB171, constB172)) | (v101(constB172) <=> (~((~v102(constB172)) | (~v1(constB172))))))),
% 8.41/6.35 inference(quant_inst,[status(thm)],[])).
% 8.41/6.35 tff(22082,plain,
% 8.41/6.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB171, constB172)) | (v101(constB172) <=> (~((~v1(constB172)) | (~v102(constB172)))))),
% 8.41/6.35 inference(modus_ponens,[status(thm)],[22081, 22080])).
% 8.41/6.35 tff(22083,plain,
% 8.41/6.35 (v101(constB172) <=> (~((~v1(constB172)) | (~v102(constB172))))),
% 8.41/6.35 inference(unit_resolution,[status(thm)],[22082, 15743, 465])).
% 8.41/6.35 tff(22084,plain,
% 8.41/6.35 (((~![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)))),
% 8.41/6.35 inference(rewrite,[status(thm)],[])).
% 8.41/6.35 tff(22085,plain,
% 8.41/6.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB171, constB172)) | ((~v102(constB172)) <=> v104(constB172)))),
% 8.41/6.35 inference(quant_inst,[status(thm)],[])).
% 8.41/6.35 tff(22086,plain,
% 8.41/6.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB171, constB172)) | ((~v102(constB172)) <=> v104(constB172))),
% 8.41/6.35 inference(modus_ponens,[status(thm)],[22085, 22084])).
% 8.41/6.35 tff(22087,plain,
% 8.41/6.35 ((~v102(constB172)) <=> v104(constB172)),
% 8.41/6.35 inference(unit_resolution,[status(thm)],[22086, 15743, 3244])).
% 8.41/6.35 tff(22088,plain,
% 8.41/6.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB171, constB172)) | (v104(constB172) <=> v1(constB171)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB171, constB172)) | (v104(constB172) <=> v1(constB171)))),
% 8.41/6.35 inference(rewrite,[status(thm)],[])).
% 8.41/6.35 tff(22089,plain,
% 8.41/6.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB171, constB172)) | (v104(constB172) <=> v1(constB171)))),
% 8.41/6.35 inference(quant_inst,[status(thm)],[])).
% 8.41/6.35 tff(22090,plain,
% 8.41/6.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB171, constB172)) | (v104(constB172) <=> v1(constB171))),
% 8.41/6.35 inference(modus_ponens,[status(thm)],[22089, 22088])).
% 8.41/6.35 tff(22091,plain,
% 8.41/6.35 (v104(constB172) <=> v1(constB171)),
% 8.41/6.35 inference(unit_resolution,[status(thm)],[22090, 15743, 3258])).
% 8.41/6.35 tff(22092,plain,
% 8.41/6.35 ((~(v104(constB172) <=> v1(constB171))) | (~v104(constB172)) | v1(constB171)),
% 8.41/6.35 inference(tautology,[status(thm)],[])).
% 8.41/6.35 tff(22093,plain,
% 8.41/6.35 ((~(v104(constB172) <=> v1(constB171))) | (~v104(constB172))),
% 8.41/6.35 inference(unit_resolution,[status(thm)],[22092, 15787])).
% 8.41/6.35 tff(22094,plain,
% 8.41/6.35 (~v104(constB172)),
% 8.41/6.35 inference(unit_resolution,[status(thm)],[22093, 22091])).
% 8.41/6.35 tff(22095,plain,
% 8.41/6.35 ((~((~v102(constB172)) <=> v104(constB172))) | v102(constB172) | v104(constB172)),
% 8.41/6.35 inference(tautology,[status(thm)],[])).
% 8.41/6.35 tff(22096,plain,
% 8.41/6.35 (v102(constB172)),
% 8.41/6.35 inference(unit_resolution,[status(thm)],[22095, 22094, 22087])).
% 8.41/6.35 tff(22097,plain,
% 8.41/6.35 (v1(constB172) <=> v1(constB172)),
% 8.41/6.35 inference(rewrite,[status(thm)],[])).
% 8.41/6.35 tff(22098,axiom,(v1(constB172)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_172')).
% 8.41/6.35 tff(22099,plain,
% 8.41/6.35 (v1(constB172)),
% 8.41/6.35 inference(modus_ponens,[status(thm)],[22098, 22097])).
% 8.41/6.35 tff(22100,plain,
% 8.41/6.35 ((~((~v1(constB172)) | (~v102(constB172)))) | (~v1(constB172)) | (~v102(constB172))),
% 8.41/6.35 inference(tautology,[status(thm)],[])).
% 8.41/6.35 tff(22101,plain,
% 8.41/6.35 ((~((~v1(constB172)) | (~v102(constB172)))) | (~v102(constB172))),
% 8.41/6.35 inference(unit_resolution,[status(thm)],[22100, 22099])).
% 8.41/6.35 tff(22102,plain,
% 8.41/6.35 (~((~v1(constB172)) | (~v102(constB172)))),
% 8.41/6.35 inference(unit_resolution,[status(thm)],[22101, 22096])).
% 8.41/6.35 tff(22103,plain,
% 8.41/6.35 ((~(v101(constB172) <=> (~((~v1(constB172)) | (~v102(constB172)))))) | v101(constB172) | ((~v1(constB172)) | (~v102(constB172)))),
% 8.41/6.35 inference(tautology,[status(thm)],[])).
% 8.41/6.35 tff(22104,plain,
% 8.41/6.35 (v101(constB172)),
% 8.41/6.35 inference(unit_resolution,[status(thm)],[22103, 22102, 22083])).
% 8.41/6.35 tff(22105,plain,
% 8.41/6.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB171, constB172)) | (v110(constB172) <=> v108(constB171)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB171, constB172)) | (v110(constB172) <=> v108(constB171)))),
% 8.41/6.35 inference(rewrite,[status(thm)],[])).
% 8.41/6.35 tff(22106,plain,
% 8.41/6.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB171, constB172)) | (v110(constB172) <=> v108(constB171)))),
% 8.41/6.35 inference(quant_inst,[status(thm)],[])).
% 8.41/6.35 tff(22107,plain,
% 8.41/6.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB171, constB172)) | (v110(constB172) <=> v108(constB171))),
% 8.41/6.35 inference(modus_ponens,[status(thm)],[22106, 22105])).
% 8.41/6.35 tff(22108,plain,
% 8.41/6.35 (v110(constB172) <=> v108(constB171)),
% 8.41/6.35 inference(unit_resolution,[status(thm)],[22107, 15743, 3285])).
% 8.41/6.35 tff(22109,plain,
% 8.41/6.35 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB171) <=> (v111(constB171) | v112(constB171)))),
% 8.41/6.35 inference(quant_inst,[status(thm)],[])).
% 8.41/6.35 tff(22110,plain,
% 8.41/6.35 (v108(constB171) <=> (v111(constB171) | v112(constB171))),
% 8.41/6.35 inference(unit_resolution,[status(thm)],[22109, 3296])).
% 8.41/6.35 tff(22111,plain,
% 8.41/6.35 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB171) <=> (~((~v113(constB171)) | (~v126(constB171)))))),
% 8.41/6.35 inference(quant_inst,[status(thm)],[])).
% 8.41/6.35 tff(22112,plain,
% 8.41/6.35 (v112(constB171) <=> (~((~v113(constB171)) | (~v126(constB171))))),
% 8.41/6.35 inference(unit_resolution,[status(thm)],[22111, 3308])).
% 8.41/6.35 tff(22113,plain,
% 8.41/6.35 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB171) <=> (v114(constB171) | v125(constB171)))),
% 8.41/6.35 inference(quant_inst,[status(thm)],[])).
% 8.41/6.35 tff(22114,plain,
% 8.41/6.35 (v113(constB171) <=> (v114(constB171) | v125(constB171))),
% 8.41/6.35 inference(unit_resolution,[status(thm)],[22113, 3317])).
% 8.41/6.35 tff(22115,plain,
% 8.41/6.35 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB171) <=> (v115(constB171) | v124(constB171)))),
% 8.41/6.35 inference(quant_inst,[status(thm)],[])).
% 8.41/6.35 tff(22116,plain,
% 8.41/6.35 (v114(constB171) <=> (v115(constB171) | v124(constB171))),
% 8.41/6.35 inference(unit_resolution,[status(thm)],[22115, 3326])).
% 8.41/6.35 tff(22117,plain,
% 8.41/6.35 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB171) <=> (v116(constB171) | v123(constB171)))),
% 8.41/6.35 inference(quant_inst,[status(thm)],[])).
% 8.41/6.35 tff(22118,plain,
% 8.41/6.35 (v115(constB171) <=> (v116(constB171) | v123(constB171))),
% 8.41/6.35 inference(unit_resolution,[status(thm)],[22117, 3335])).
% 8.41/6.35 tff(22119,plain,
% 8.41/6.35 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB171) <=> (v117(constB171) | v122(constB171)))),
% 8.41/6.35 inference(quant_inst,[status(thm)],[])).
% 8.41/6.35 tff(22120,plain,
% 8.41/6.35 (v116(constB171) <=> (v117(constB171) | v122(constB171))),
% 8.41/6.35 inference(unit_resolution,[status(thm)],[22119, 3344])).
% 8.41/6.35 tff(22121,plain,
% 8.41/6.35 ((v117(constB171) | v122(constB171)) | (~v122(constB171))),
% 8.41/6.35 inference(tautology,[status(thm)],[])).
% 8.41/6.35 tff(22122,plain,
% 8.41/6.35 (v117(constB171) | v122(constB171)),
% 8.41/6.35 inference(unit_resolution,[status(thm)],[22121, 22058])).
% 8.41/6.35 tff(22123,plain,
% 8.41/6.35 ((~(v116(constB171) <=> (v117(constB171) | v122(constB171)))) | v116(constB171) | (~(v117(constB171) | v122(constB171)))),
% 8.41/6.35 inference(tautology,[status(thm)],[])).
% 8.41/6.35 tff(22124,plain,
% 8.41/6.35 (v116(constB171)),
% 8.41/6.35 inference(unit_resolution,[status(thm)],[22123, 22122, 22120])).
% 8.41/6.35 tff(22125,plain,
% 8.41/6.35 ((v116(constB171) | v123(constB171)) | (~v116(constB171))),
% 8.41/6.35 inference(tautology,[status(thm)],[])).
% 8.41/6.35 tff(22126,plain,
% 8.41/6.35 (v116(constB171) | v123(constB171)),
% 8.41/6.35 inference(unit_resolution,[status(thm)],[22125, 22124])).
% 8.41/6.35 tff(22127,plain,
% 8.41/6.35 ((~(v115(constB171) <=> (v116(constB171) | v123(constB171)))) | v115(constB171) | (~(v116(constB171) | v123(constB171)))),
% 8.41/6.35 inference(tautology,[status(thm)],[])).
% 8.41/6.35 tff(22128,plain,
% 8.41/6.35 (v115(constB171)),
% 8.41/6.35 inference(unit_resolution,[status(thm)],[22127, 22126, 22118])).
% 8.41/6.35 tff(22129,plain,
% 8.41/6.35 ((v115(constB171) | v124(constB171)) | (~v115(constB171))),
% 8.41/6.35 inference(tautology,[status(thm)],[])).
% 8.41/6.35 tff(22130,plain,
% 8.41/6.35 (v115(constB171) | v124(constB171)),
% 8.41/6.35 inference(unit_resolution,[status(thm)],[22129, 22128])).
% 8.41/6.35 tff(22131,plain,
% 8.41/6.35 ((~(v114(constB171) <=> (v115(constB171) | v124(constB171)))) | v114(constB171) | (~(v115(constB171) | v124(constB171)))),
% 8.41/6.35 inference(tautology,[status(thm)],[])).
% 8.41/6.35 tff(22132,plain,
% 8.41/6.35 (v114(constB171)),
% 8.41/6.35 inference(unit_resolution,[status(thm)],[22131, 22130, 22116])).
% 8.41/6.35 tff(22133,plain,
% 8.41/6.35 ((v114(constB171) | v125(constB171)) | (~v114(constB171))),
% 8.41/6.35 inference(tautology,[status(thm)],[])).
% 8.41/6.35 tff(22134,plain,
% 8.41/6.35 (v114(constB171) | v125(constB171)),
% 8.41/6.35 inference(unit_resolution,[status(thm)],[22133, 22132])).
% 8.41/6.35 tff(22135,plain,
% 8.41/6.35 ((~(v113(constB171) <=> (v114(constB171) | v125(constB171)))) | v113(constB171) | (~(v114(constB171) | v125(constB171)))),
% 8.41/6.35 inference(tautology,[status(thm)],[])).
% 8.41/6.35 tff(22136,plain,
% 8.41/6.35 (v113(constB171)),
% 8.41/6.35 inference(unit_resolution,[status(thm)],[22135, 22134, 22114])).
% 8.41/6.35 tff(22137,plain,
% 8.41/6.35 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB171)) <=> v111(constB171))),
% 8.41/6.35 inference(quant_inst,[status(thm)],[])).
% 8.41/6.35 tff(22138,plain,
% 8.41/6.35 ((~v126(constB171)) <=> v111(constB171)),
% 8.41/6.35 inference(unit_resolution,[status(thm)],[22137, 3396])).
% 8.41/6.35 tff(22139,plain,
% 8.41/6.35 ((~((~v126(constB171)) <=> v111(constB171))) | v126(constB171) | v111(constB171)),
% 8.41/6.35 inference(tautology,[status(thm)],[])).
% 8.41/6.35 tff(22140,plain,
% 8.41/6.35 ((~((~v126(constB171)) <=> v111(constB171))) | v126(constB171)),
% 8.41/6.35 inference(unit_resolution,[status(thm)],[22139, 15756])).
% 8.41/6.35 tff(22141,plain,
% 8.41/6.35 (v126(constB171)),
% 8.41/6.35 inference(unit_resolution,[status(thm)],[22140, 22138])).
% 8.41/6.35 tff(22142,plain,
% 8.41/6.35 ((~((~v113(constB171)) | (~v126(constB171)))) | (~v113(constB171)) | (~v126(constB171))),
% 8.41/6.35 inference(tautology,[status(thm)],[])).
% 8.41/6.35 tff(22143,plain,
% 8.41/6.35 ((~((~v113(constB171)) | (~v126(constB171)))) | (~v113(constB171))),
% 8.41/6.35 inference(unit_resolution,[status(thm)],[22142, 22141])).
% 8.41/6.35 tff(22144,plain,
% 8.41/6.35 (~((~v113(constB171)) | (~v126(constB171)))),
% 8.41/6.35 inference(unit_resolution,[status(thm)],[22143, 22136])).
% 8.41/6.35 tff(22145,plain,
% 8.41/6.35 ((~(v112(constB171) <=> (~((~v113(constB171)) | (~v126(constB171)))))) | v112(constB171) | ((~v113(constB171)) | (~v126(constB171)))),
% 8.41/6.35 inference(tautology,[status(thm)],[])).
% 8.41/6.35 tff(22146,plain,
% 8.41/6.35 (v112(constB171)),
% 8.41/6.35 inference(unit_resolution,[status(thm)],[22145, 22144, 22112])).
% 8.41/6.35 tff(22147,plain,
% 8.41/6.35 ((v111(constB171) | v112(constB171)) | (~v112(constB171))),
% 8.41/6.35 inference(tautology,[status(thm)],[])).
% 8.41/6.35 tff(22148,plain,
% 8.41/6.35 (v111(constB171) | v112(constB171)),
% 8.41/6.35 inference(unit_resolution,[status(thm)],[22147, 22146])).
% 8.41/6.35 tff(22149,plain,
% 8.41/6.35 ((~(v108(constB171) <=> (v111(constB171) | v112(constB171)))) | v108(constB171) | (~(v111(constB171) | v112(constB171)))),
% 8.41/6.35 inference(tautology,[status(thm)],[])).
% 8.41/6.35 tff(22150,plain,
% 8.41/6.35 (v108(constB171)),
% 8.41/6.35 inference(unit_resolution,[status(thm)],[22149, 22148, 22110])).
% 8.41/6.35 tff(22151,plain,
% 8.41/6.35 ((~(v110(constB172) <=> v108(constB171))) | v110(constB172) | (~v108(constB171))),
% 8.41/6.35 inference(tautology,[status(thm)],[])).
% 8.41/6.35 tff(22152,plain,
% 8.41/6.35 (v110(constB172)),
% 8.41/6.35 inference(unit_resolution,[status(thm)],[22151, 22150, 22108])).
% 8.41/6.35 tff(22153,plain,
% 8.41/6.35 ((~((~v101(constB172)) | (~v110(constB172)))) | (~v101(constB172)) | (~v110(constB172))),
% 8.41/6.35 inference(tautology,[status(thm)],[])).
% 8.41/6.35 tff(22154,plain,
% 8.41/6.35 (~((~v101(constB172)) | (~v110(constB172)))),
% 8.41/6.35 inference(unit_resolution,[status(thm)],[22153, 22152, 22104])).
% 8.41/6.35 tff(22155,plain,
% 8.41/6.35 ((~(v100(constB172) <=> (~((~v101(constB172)) | (~v110(constB172)))))) | v100(constB172) | ((~v101(constB172)) | (~v110(constB172)))),
% 8.41/6.35 inference(tautology,[status(thm)],[])).
% 8.41/6.35 tff(22156,plain,
% 8.41/6.35 (v100(constB172)),
% 8.41/6.35 inference(unit_resolution,[status(thm)],[22155, 22154, 22076])).
% 8.41/6.35 tff(22157,plain,
% 8.41/6.35 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB172)) | (~(((~v90(constB172, bitIndex2)) <=> v129(constB172, bitIndex2)) | ((~v90(constB172, bitIndex1)) <=> v129(constB172, bitIndex1)) | ((~v90(constB172, bitIndex0)) <=> v129(constB172, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB172)) | (~(((~v90(constB172, bitIndex2)) <=> v129(constB172, bitIndex2)) | ((~v90(constB172, bitIndex1)) <=> v129(constB172, bitIndex1)) | ((~v90(constB172, bitIndex0)) <=> v129(constB172, bitIndex0)))))),
% 8.41/6.35 inference(rewrite,[status(thm)],[])).
% 8.41/6.35 tff(22158,plain,
% 8.41/6.35 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB172)) | (~(((~v90(constB172, bitIndex2)) <=> v129(constB172, bitIndex2)) | ((~v90(constB172, bitIndex1)) <=> v129(constB172, bitIndex1)) | ((~v90(constB172, bitIndex0)) <=> v129(constB172, bitIndex0)))))),
% 8.41/6.35 inference(quant_inst,[status(thm)],[])).
% 8.41/6.35 tff(22159,plain,
% 8.41/6.35 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB172)) | (~(((~v90(constB172, bitIndex2)) <=> v129(constB172, bitIndex2)) | ((~v90(constB172, bitIndex1)) <=> v129(constB172, bitIndex1)) | ((~v90(constB172, bitIndex0)) <=> v129(constB172, bitIndex0))))),
% 8.41/6.35 inference(modus_ponens,[status(thm)],[22158, 22157])).
% 8.41/6.35 tff(22160,plain,
% 8.41/6.35 ((~v100(constB172)) | (~(((~v90(constB172, bitIndex2)) <=> v129(constB172, bitIndex2)) | ((~v90(constB172, bitIndex1)) <=> v129(constB172, bitIndex1)) | ((~v90(constB172, bitIndex0)) <=> v129(constB172, bitIndex0))))),
% 8.41/6.35 inference(unit_resolution,[status(thm)],[22159, 3429])).
% 8.41/6.35 tff(22161,plain,
% 8.41/6.35 (~(((~v90(constB172, bitIndex2)) <=> v129(constB172, bitIndex2)) | ((~v90(constB172, bitIndex1)) <=> v129(constB172, bitIndex1)) | ((~v90(constB172, bitIndex0)) <=> v129(constB172, bitIndex0)))),
% 8.41/6.35 inference(unit_resolution,[status(thm)],[22160, 22156])).
% 8.41/6.35 tff(22162,plain,
% 8.41/6.35 ((((~v90(constB172, bitIndex2)) <=> v129(constB172, bitIndex2)) | ((~v90(constB172, bitIndex1)) <=> v129(constB172, bitIndex1)) | ((~v90(constB172, bitIndex0)) <=> v129(constB172, bitIndex0))) | (~((~v90(constB172, bitIndex2)) <=> v129(constB172, bitIndex2)))),
% 8.41/6.35 inference(tautology,[status(thm)],[])).
% 8.41/6.35 tff(22163,plain,
% 8.41/6.35 (~((~v90(constB172, bitIndex2)) <=> v129(constB172, bitIndex2))),
% 8.41/6.35 inference(unit_resolution,[status(thm)],[22162, 22161])).
% 8.41/6.35 tff(22164,plain,
% 8.41/6.35 (((~v90(constB172, bitIndex2)) <=> v129(constB172, bitIndex2)) | v90(constB172, bitIndex2) | (~v129(constB172, bitIndex2))),
% 8.41/6.35 inference(tautology,[status(thm)],[])).
% 8.41/6.35 tff(22165,plain,
% 8.41/6.35 (v90(constB172, bitIndex2)),
% 8.41/6.35 inference(unit_resolution,[status(thm)],[22164, 22163, 22072])).
% 8.41/6.35 tff(22166,plain,
% 8.41/6.35 (((~v90(constB173, bitIndex2)) <=> v90(constB172, bitIndex2)) | v90(constB173, bitIndex2) | (~v90(constB172, bitIndex2))),
% 8.41/6.35 inference(tautology,[status(thm)],[])).
% 8.41/6.35 tff(22167,plain,
% 8.41/6.35 (v90(constB173, bitIndex2)),
% 8.41/6.35 inference(unit_resolution,[status(thm)],[22166, 22165, 15740])).
% 8.41/6.35 tff(22168,plain,
% 8.41/6.35 ((((~v90(constB173, bitIndex1)) <=> v90(constB172, bitIndex1)) | ((~v90(constB173, bitIndex2)) <=> v90(constB172, bitIndex2)) | ((~v90(constB173, bitIndex0)) <=> v90(constB172, bitIndex0))) | (~((~v90(constB173, bitIndex0)) <=> v90(constB172, bitIndex0)))),
% 8.41/6.35 inference(tautology,[status(thm)],[])).
% 8.41/6.35 tff(22169,plain,
% 8.41/6.35 (~((~v90(constB173, bitIndex0)) <=> v90(constB172, bitIndex0))),
% 8.41/6.35 inference(unit_resolution,[status(thm)],[22168, 15738])).
% 8.41/6.35 tff(22170,plain,
% 8.41/6.35 ((((~v129(constB172, bitIndex2)) <=> v127(constB171, bitIndex2)) | ((~v129(constB172, bitIndex1)) <=> v127(constB171, bitIndex1)) | ((~v129(constB172, bitIndex0)) <=> v127(constB171, bitIndex0))) | (~((~v129(constB172, bitIndex0)) <=> v127(constB171, bitIndex0)))),
% 8.41/6.36 inference(tautology,[status(thm)],[])).
% 8.41/6.36 tff(22171,plain,
% 8.41/6.36 (~((~v129(constB172, bitIndex0)) <=> v127(constB171, bitIndex0))),
% 8.41/6.36 inference(unit_resolution,[status(thm)],[22170, 15747])).
% 8.41/6.36 tff(22172,plain,
% 8.41/6.36 ((((~v127(constB171, bitIndex2)) <=> v130(constB171, bitIndex2)) | ((~v127(constB171, bitIndex1)) <=> v130(constB171, bitIndex1)) | ((~v127(constB171, bitIndex0)) <=> v130(constB171, bitIndex0))) | (~((~v127(constB171, bitIndex0)) <=> v130(constB171, bitIndex0)))),
% 8.41/6.36 inference(tautology,[status(thm)],[])).
% 8.41/6.36 tff(22173,plain,
% 8.41/6.36 (~((~v127(constB171, bitIndex0)) <=> v130(constB171, bitIndex0))),
% 8.41/6.36 inference(unit_resolution,[status(thm)],[22172, 15761])).
% 8.41/6.36 tff(22174,plain,
% 8.41/6.36 ((v130(constB171, bitIndex1) | v130(constB171, bitIndex0) | (~v130(constB171, bitIndex2))) | (~v130(constB171, bitIndex0))),
% 8.41/6.36 inference(tautology,[status(thm)],[])).
% 8.41/6.36 tff(22175,plain,
% 8.41/6.36 (~v130(constB171, bitIndex0)),
% 8.41/6.36 inference(unit_resolution,[status(thm)],[22174, 22066])).
% 8.41/6.36 tff(22176,plain,
% 8.41/6.36 (((~v127(constB171, bitIndex0)) <=> v130(constB171, bitIndex0)) | (~v127(constB171, bitIndex0)) | v130(constB171, bitIndex0)),
% 8.41/6.36 inference(tautology,[status(thm)],[])).
% 8.41/6.36 tff(22177,plain,
% 8.41/6.36 (~v127(constB171, bitIndex0)),
% 8.41/6.36 inference(unit_resolution,[status(thm)],[22176, 22175, 22173])).
% 8.41/6.36 tff(22178,plain,
% 8.41/6.36 (((~v129(constB172, bitIndex0)) <=> v127(constB171, bitIndex0)) | (~v129(constB172, bitIndex0)) | v127(constB171, bitIndex0)),
% 8.41/6.36 inference(tautology,[status(thm)],[])).
% 8.41/6.36 tff(22179,plain,
% 8.41/6.36 (~v129(constB172, bitIndex0)),
% 8.41/6.36 inference(unit_resolution,[status(thm)],[22178, 22177, 22171])).
% 8.41/6.36 tff(22180,plain,
% 8.41/6.36 ((((~v90(constB172, bitIndex2)) <=> v129(constB172, bitIndex2)) | ((~v90(constB172, bitIndex1)) <=> v129(constB172, bitIndex1)) | ((~v90(constB172, bitIndex0)) <=> v129(constB172, bitIndex0))) | (~((~v90(constB172, bitIndex0)) <=> v129(constB172, bitIndex0)))),
% 8.41/6.36 inference(tautology,[status(thm)],[])).
% 8.41/6.36 tff(22181,plain,
% 8.41/6.36 (~((~v90(constB172, bitIndex0)) <=> v129(constB172, bitIndex0))),
% 8.41/6.36 inference(unit_resolution,[status(thm)],[22180, 22161])).
% 8.41/6.36 tff(22182,plain,
% 8.41/6.36 (((~v90(constB172, bitIndex0)) <=> v129(constB172, bitIndex0)) | (~v90(constB172, bitIndex0)) | v129(constB172, bitIndex0)),
% 8.41/6.36 inference(tautology,[status(thm)],[])).
% 8.41/6.36 tff(22183,plain,
% 8.41/6.36 (~v90(constB172, bitIndex0)),
% 8.41/6.36 inference(unit_resolution,[status(thm)],[22182, 22181, 22179])).
% 8.41/6.36 tff(22184,plain,
% 8.41/6.36 (((~v90(constB173, bitIndex0)) <=> v90(constB172, bitIndex0)) | (~v90(constB173, bitIndex0)) | v90(constB172, bitIndex0)),
% 8.41/6.36 inference(tautology,[status(thm)],[])).
% 8.41/6.36 tff(22185,plain,
% 8.41/6.36 (~v90(constB173, bitIndex0)),
% 8.41/6.36 inference(unit_resolution,[status(thm)],[22184, 22183, 22169])).
% 8.41/6.36 tff(22186,plain,
% 8.41/6.36 ((((~v90(constB173, bitIndex1)) <=> v90(constB172, bitIndex1)) | ((~v90(constB173, bitIndex2)) <=> v90(constB172, bitIndex2)) | ((~v90(constB173, bitIndex0)) <=> v90(constB172, bitIndex0))) | (~((~v90(constB173, bitIndex1)) <=> v90(constB172, bitIndex1)))),
% 8.41/6.36 inference(tautology,[status(thm)],[])).
% 8.41/6.36 tff(22187,plain,
% 8.41/6.36 (~((~v90(constB173, bitIndex1)) <=> v90(constB172, bitIndex1))),
% 8.41/6.36 inference(unit_resolution,[status(thm)],[22186, 15738])).
% 8.41/6.36 tff(22188,plain,
% 8.41/6.36 ((((~v129(constB172, bitIndex2)) <=> v127(constB171, bitIndex2)) | ((~v129(constB172, bitIndex1)) <=> v127(constB171, bitIndex1)) | ((~v129(constB172, bitIndex0)) <=> v127(constB171, bitIndex0))) | (~((~v129(constB172, bitIndex1)) <=> v127(constB171, bitIndex1)))),
% 8.41/6.36 inference(tautology,[status(thm)],[])).
% 8.41/6.36 tff(22189,plain,
% 8.41/6.36 (~((~v129(constB172, bitIndex1)) <=> v127(constB171, bitIndex1))),
% 8.41/6.36 inference(unit_resolution,[status(thm)],[22188, 15747])).
% 8.41/6.36 tff(22190,plain,
% 8.41/6.36 ((((~v127(constB171, bitIndex2)) <=> v130(constB171, bitIndex2)) | ((~v127(constB171, bitIndex1)) <=> v130(constB171, bitIndex1)) | ((~v127(constB171, bitIndex0)) <=> v130(constB171, bitIndex0))) | (~((~v127(constB171, bitIndex1)) <=> v130(constB171, bitIndex1)))),
% 8.41/6.36 inference(tautology,[status(thm)],[])).
% 8.41/6.36 tff(22191,plain,
% 8.41/6.36 (~((~v127(constB171, bitIndex1)) <=> v130(constB171, bitIndex1))),
% 8.41/6.36 inference(unit_resolution,[status(thm)],[22190, 15761])).
% 8.41/6.36 tff(22192,plain,
% 8.41/6.36 ((v130(constB171, bitIndex1) | v130(constB171, bitIndex0) | (~v130(constB171, bitIndex2))) | (~v130(constB171, bitIndex1))),
% 8.41/6.36 inference(tautology,[status(thm)],[])).
% 8.41/6.36 tff(22193,plain,
% 8.41/6.36 (~v130(constB171, bitIndex1)),
% 8.41/6.36 inference(unit_resolution,[status(thm)],[22192, 22066])).
% 8.41/6.36 tff(22194,plain,
% 8.41/6.36 (((~v127(constB171, bitIndex1)) <=> v130(constB171, bitIndex1)) | (~v127(constB171, bitIndex1)) | v130(constB171, bitIndex1)),
% 8.41/6.36 inference(tautology,[status(thm)],[])).
% 8.41/6.36 tff(22195,plain,
% 8.41/6.36 (~v127(constB171, bitIndex1)),
% 8.41/6.36 inference(unit_resolution,[status(thm)],[22194, 22193, 22191])).
% 8.41/6.36 tff(22196,plain,
% 8.41/6.36 (((~v129(constB172, bitIndex1)) <=> v127(constB171, bitIndex1)) | (~v129(constB172, bitIndex1)) | v127(constB171, bitIndex1)),
% 8.41/6.36 inference(tautology,[status(thm)],[])).
% 8.41/6.36 tff(22197,plain,
% 8.41/6.36 (~v129(constB172, bitIndex1)),
% 8.41/6.36 inference(unit_resolution,[status(thm)],[22196, 22195, 22189])).
% 8.41/6.36 tff(22198,plain,
% 8.41/6.36 ((((~v90(constB172, bitIndex2)) <=> v129(constB172, bitIndex2)) | ((~v90(constB172, bitIndex1)) <=> v129(constB172, bitIndex1)) | ((~v90(constB172, bitIndex0)) <=> v129(constB172, bitIndex0))) | (~((~v90(constB172, bitIndex1)) <=> v129(constB172, bitIndex1)))),
% 8.41/6.36 inference(tautology,[status(thm)],[])).
% 8.41/6.36 tff(22199,plain,
% 8.41/6.36 (~((~v90(constB172, bitIndex1)) <=> v129(constB172, bitIndex1))),
% 8.41/6.36 inference(unit_resolution,[status(thm)],[22198, 22161])).
% 8.41/6.36 tff(22200,plain,
% 8.41/6.36 (((~v90(constB172, bitIndex1)) <=> v129(constB172, bitIndex1)) | (~v90(constB172, bitIndex1)) | v129(constB172, bitIndex1)),
% 8.41/6.36 inference(tautology,[status(thm)],[])).
% 8.41/6.36 tff(22201,plain,
% 8.41/6.36 (~v90(constB172, bitIndex1)),
% 8.41/6.36 inference(unit_resolution,[status(thm)],[22200, 22199, 22197])).
% 8.41/6.36 tff(22202,plain,
% 8.41/6.36 (((~v90(constB173, bitIndex1)) <=> v90(constB172, bitIndex1)) | (~v90(constB173, bitIndex1)) | v90(constB172, bitIndex1)),
% 8.41/6.36 inference(tautology,[status(thm)],[])).
% 8.41/6.36 tff(22203,plain,
% 8.41/6.36 (~v90(constB173, bitIndex1)),
% 8.41/6.36 inference(unit_resolution,[status(thm)],[22202, 22201, 22187])).
% 8.41/6.36 tff(22204,plain,
% 8.41/6.36 ((~(v90(constB173, bitIndex1) | v90(constB173, bitIndex0) | (~v90(constB173, bitIndex2)))) | v90(constB173, bitIndex1) | v90(constB173, bitIndex0) | (~v90(constB173, bitIndex2))),
% 8.41/6.36 inference(tautology,[status(thm)],[])).
% 8.41/6.36 tff(22205,plain,
% 8.41/6.36 (~(v90(constB173, bitIndex1) | v90(constB173, bitIndex0) | (~v90(constB173, bitIndex2)))),
% 8.41/6.36 inference(unit_resolution,[status(thm)],[22204, 22203, 22185, 22167])).
% 8.41/6.36 tff(22206,plain,
% 8.41/6.36 ((~(v123(constB173) <=> (~(v90(constB173, bitIndex1) | v90(constB173, bitIndex0) | (~v90(constB173, bitIndex2)))))) | v123(constB173) | (v90(constB173, bitIndex1) | v90(constB173, bitIndex0) | (~v90(constB173, bitIndex2)))),
% 8.41/6.36 inference(tautology,[status(thm)],[])).
% 8.41/6.36 tff(22207,plain,
% 8.41/6.36 (v123(constB173)),
% 8.41/6.36 inference(unit_resolution,[status(thm)],[22206, 22205, 15704])).
% 8.41/6.36 tff(22208,plain,
% 8.41/6.36 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | ((~v123(constB173)) | (~(v130(constB173, bitIndex0) | (~v130(constB173, bitIndex2)) | (~v130(constB173, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | (~v123(constB173)) | (~(v130(constB173, bitIndex0) | (~v130(constB173, bitIndex2)) | (~v130(constB173, bitIndex1)))))),
% 8.41/6.36 inference(rewrite,[status(thm)],[])).
% 8.41/6.36 tff(22209,plain,
% 8.41/6.36 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | ((~v123(constB173)) | (~(v130(constB173, bitIndex0) | (~v130(constB173, bitIndex2)) | (~v130(constB173, bitIndex1)))))),
% 8.41/6.36 inference(quant_inst,[status(thm)],[])).
% 8.41/6.36 tff(22210,plain,
% 8.41/6.36 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | (~v123(constB173)) | (~(v130(constB173, bitIndex0) | (~v130(constB173, bitIndex2)) | (~v130(constB173, bitIndex1))))),
% 8.41/6.36 inference(modus_ponens,[status(thm)],[22209, 22208])).
% 8.41/6.36 tff(22211,plain,
% 8.41/6.36 ((~v123(constB173)) | (~(v130(constB173, bitIndex0) | (~v130(constB173, bitIndex2)) | (~v130(constB173, bitIndex1))))),
% 8.41/6.36 inference(unit_resolution,[status(thm)],[22210, 3496])).
% 8.41/6.36 tff(22212,plain,
% 8.41/6.36 (~(v130(constB173, bitIndex0) | (~v130(constB173, bitIndex2)) | (~v130(constB173, bitIndex1)))),
% 8.41/6.36 inference(unit_resolution,[status(thm)],[22211, 22207])).
% 8.41/6.36 tff(22213,plain,
% 8.41/6.36 ((v130(constB173, bitIndex0) | (~v130(constB173, bitIndex2)) | (~v130(constB173, bitIndex1))) | (~v130(constB173, bitIndex0))),
% 8.41/6.36 inference(tautology,[status(thm)],[])).
% 8.41/6.36 tff(22214,plain,
% 8.41/6.36 (~v130(constB173, bitIndex0)),
% 8.41/6.36 inference(unit_resolution,[status(thm)],[22213, 22212])).
% 8.41/6.36 tff(22215,plain,
% 8.41/6.36 (((~v127(constB173, bitIndex0)) <=> v130(constB173, bitIndex0)) | (~v127(constB173, bitIndex0)) | v130(constB173, bitIndex0)),
% 8.41/6.36 inference(tautology,[status(thm)],[])).
% 8.41/6.36 tff(22216,plain,
% 8.41/6.36 (~v127(constB173, bitIndex0)),
% 8.41/6.36 inference(unit_resolution,[status(thm)],[22215, 22214, 15697])).
% 8.41/6.36 tff(22217,plain,
% 8.41/6.36 (((~v129(constB174, bitIndex0)) <=> v127(constB173, bitIndex0)) | (~v129(constB174, bitIndex0)) | v127(constB173, bitIndex0)),
% 8.41/6.36 inference(tautology,[status(thm)],[])).
% 8.41/6.36 tff(22218,plain,
% 8.41/6.36 (~v129(constB174, bitIndex0)),
% 8.41/6.36 inference(unit_resolution,[status(thm)],[22217, 22216, 15683])).
% 8.41/6.36 tff(22219,plain,
% 8.41/6.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB173, constB174)) | (v100(constB174) <=> (~((~v101(constB174)) | (~v110(constB174))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB173, constB174)) | (v100(constB174) <=> (~((~v101(constB174)) | (~v110(constB174))))))),
% 8.41/6.36 inference(rewrite,[status(thm)],[])).
% 8.41/6.36 tff(22220,plain,
% 8.41/6.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB173, constB174)) | (v100(constB174) <=> (~((~v101(constB174)) | (~v110(constB174))))))),
% 8.41/6.36 inference(quant_inst,[status(thm)],[])).
% 8.41/6.36 tff(22221,plain,
% 8.41/6.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB173, constB174)) | (v100(constB174) <=> (~((~v101(constB174)) | (~v110(constB174)))))),
% 8.41/6.36 inference(modus_ponens,[status(thm)],[22220, 22219])).
% 8.41/6.36 tff(22222,plain,
% 8.41/6.36 (v100(constB174) <=> (~((~v101(constB174)) | (~v110(constB174))))),
% 8.41/6.36 inference(unit_resolution,[status(thm)],[22221, 15677, 445])).
% 8.41/6.36 tff(22223,plain,
% 8.41/6.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB173, constB174)) | (v101(constB174) <=> (~((~v1(constB174)) | (~v102(constB174))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB173, constB174)) | (v101(constB174) <=> (~((~v1(constB174)) | (~v102(constB174))))))),
% 8.41/6.36 inference(rewrite,[status(thm)],[])).
% 8.41/6.36 tff(22224,plain,
% 8.41/6.36 (((~nextState(constB173, constB174)) | (v101(constB174) <=> (~((~v102(constB174)) | (~v1(constB174)))))) <=> ((~nextState(constB173, constB174)) | (v101(constB174) <=> (~((~v1(constB174)) | (~v102(constB174))))))),
% 8.41/6.36 inference(rewrite,[status(thm)],[])).
% 8.41/6.36 tff(22225,plain,
% 8.41/6.36 (((~![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) <=> (~((~v1(constB174)) | (~v102(constB174)))))))),
% 8.41/6.36 inference(monotonicity,[status(thm)],[22224])).
% 8.41/6.36 tff(22226,plain,
% 8.41/6.36 (((~![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) <=> (~((~v1(constB174)) | (~v102(constB174))))))),
% 8.41/6.36 inference(transitivity,[status(thm)],[22225, 22223])).
% 8.41/6.36 tff(22227,plain,
% 8.41/6.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB173, constB174)) | (v101(constB174) <=> (~((~v102(constB174)) | (~v1(constB174))))))),
% 8.41/6.36 inference(quant_inst,[status(thm)],[])).
% 8.41/6.36 tff(22228,plain,
% 8.41/6.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB173, constB174)) | (v101(constB174) <=> (~((~v1(constB174)) | (~v102(constB174)))))),
% 8.41/6.36 inference(modus_ponens,[status(thm)],[22227, 22226])).
% 8.41/6.36 tff(22229,plain,
% 8.41/6.36 (v101(constB174) <=> (~((~v1(constB174)) | (~v102(constB174))))),
% 8.41/6.36 inference(unit_resolution,[status(thm)],[22228, 15677, 465])).
% 8.41/6.36 tff(22230,plain,
% 8.41/6.36 (((~![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)))),
% 8.41/6.36 inference(rewrite,[status(thm)],[])).
% 8.41/6.36 tff(22231,plain,
% 8.41/6.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB173, constB174)) | ((~v102(constB174)) <=> v104(constB174)))),
% 8.41/6.36 inference(quant_inst,[status(thm)],[])).
% 8.41/6.36 tff(22232,plain,
% 8.41/6.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB173, constB174)) | ((~v102(constB174)) <=> v104(constB174))),
% 8.41/6.36 inference(modus_ponens,[status(thm)],[22231, 22230])).
% 8.41/6.36 tff(22233,plain,
% 8.41/6.36 ((~v102(constB174)) <=> v104(constB174)),
% 8.41/6.36 inference(unit_resolution,[status(thm)],[22232, 15677, 3244])).
% 8.41/6.36 tff(22234,plain,
% 8.41/6.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB173, constB174)) | (v104(constB174) <=> v1(constB173)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB173, constB174)) | (v104(constB174) <=> v1(constB173)))),
% 8.41/6.36 inference(rewrite,[status(thm)],[])).
% 8.41/6.36 tff(22235,plain,
% 8.41/6.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB173, constB174)) | (v104(constB174) <=> v1(constB173)))),
% 8.41/6.36 inference(quant_inst,[status(thm)],[])).
% 8.41/6.36 tff(22236,plain,
% 8.41/6.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB173, constB174)) | (v104(constB174) <=> v1(constB173))),
% 8.41/6.36 inference(modus_ponens,[status(thm)],[22235, 22234])).
% 8.41/6.36 tff(22237,plain,
% 8.41/6.36 (v104(constB174) <=> v1(constB173)),
% 8.41/6.36 inference(unit_resolution,[status(thm)],[22236, 15677, 3258])).
% 8.41/6.36 tff(22238,plain,
% 8.41/6.36 ((~(v104(constB174) <=> v1(constB173))) | (~v104(constB174)) | v1(constB173)),
% 8.41/6.36 inference(tautology,[status(thm)],[])).
% 8.41/6.36 tff(22239,plain,
% 8.41/6.36 ((~(v104(constB174) <=> v1(constB173))) | (~v104(constB174))),
% 8.41/6.36 inference(unit_resolution,[status(thm)],[22238, 15721])).
% 8.41/6.36 tff(22240,plain,
% 8.41/6.36 (~v104(constB174)),
% 8.41/6.36 inference(unit_resolution,[status(thm)],[22239, 22237])).
% 8.41/6.36 tff(22241,plain,
% 8.41/6.36 ((~((~v102(constB174)) <=> v104(constB174))) | v102(constB174) | v104(constB174)),
% 8.41/6.36 inference(tautology,[status(thm)],[])).
% 8.41/6.36 tff(22242,plain,
% 8.41/6.36 (v102(constB174)),
% 8.41/6.36 inference(unit_resolution,[status(thm)],[22241, 22240, 22233])).
% 8.41/6.36 tff(22243,plain,
% 8.41/6.36 (v1(constB174) <=> v1(constB174)),
% 8.41/6.36 inference(rewrite,[status(thm)],[])).
% 8.41/6.36 tff(22244,axiom,(v1(constB174)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_174')).
% 8.41/6.36 tff(22245,plain,
% 8.41/6.36 (v1(constB174)),
% 8.41/6.36 inference(modus_ponens,[status(thm)],[22244, 22243])).
% 8.41/6.36 tff(22246,plain,
% 8.41/6.36 ((~((~v1(constB174)) | (~v102(constB174)))) | (~v1(constB174)) | (~v102(constB174))),
% 8.41/6.36 inference(tautology,[status(thm)],[])).
% 8.41/6.36 tff(22247,plain,
% 8.41/6.36 ((~((~v1(constB174)) | (~v102(constB174)))) | (~v102(constB174))),
% 8.41/6.36 inference(unit_resolution,[status(thm)],[22246, 22245])).
% 8.41/6.36 tff(22248,plain,
% 8.41/6.36 (~((~v1(constB174)) | (~v102(constB174)))),
% 8.41/6.36 inference(unit_resolution,[status(thm)],[22247, 22242])).
% 8.41/6.36 tff(22249,plain,
% 8.41/6.36 ((~(v101(constB174) <=> (~((~v1(constB174)) | (~v102(constB174)))))) | v101(constB174) | ((~v1(constB174)) | (~v102(constB174)))),
% 8.41/6.36 inference(tautology,[status(thm)],[])).
% 8.41/6.36 tff(22250,plain,
% 8.41/6.36 (v101(constB174)),
% 8.41/6.36 inference(unit_resolution,[status(thm)],[22249, 22248, 22229])).
% 8.41/6.36 tff(22251,plain,
% 8.41/6.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB173, constB174)) | (v110(constB174) <=> v108(constB173)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB173, constB174)) | (v110(constB174) <=> v108(constB173)))),
% 8.41/6.36 inference(rewrite,[status(thm)],[])).
% 8.41/6.36 tff(22252,plain,
% 8.41/6.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB173, constB174)) | (v110(constB174) <=> v108(constB173)))),
% 8.41/6.36 inference(quant_inst,[status(thm)],[])).
% 8.41/6.36 tff(22253,plain,
% 8.41/6.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB173, constB174)) | (v110(constB174) <=> v108(constB173))),
% 8.41/6.36 inference(modus_ponens,[status(thm)],[22252, 22251])).
% 8.41/6.36 tff(22254,plain,
% 8.41/6.36 (v110(constB174) <=> v108(constB173)),
% 8.41/6.36 inference(unit_resolution,[status(thm)],[22253, 15677, 3285])).
% 8.41/6.36 tff(22255,plain,
% 8.41/6.36 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB173) <=> (v111(constB173) | v112(constB173)))),
% 8.41/6.36 inference(quant_inst,[status(thm)],[])).
% 8.41/6.36 tff(22256,plain,
% 8.41/6.36 (v108(constB173) <=> (v111(constB173) | v112(constB173))),
% 8.41/6.36 inference(unit_resolution,[status(thm)],[22255, 3296])).
% 8.41/6.36 tff(22257,plain,
% 8.41/6.36 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB173) <=> (~((~v113(constB173)) | (~v126(constB173)))))),
% 8.41/6.36 inference(quant_inst,[status(thm)],[])).
% 8.41/6.36 tff(22258,plain,
% 8.41/6.36 (v112(constB173) <=> (~((~v113(constB173)) | (~v126(constB173))))),
% 8.41/6.36 inference(unit_resolution,[status(thm)],[22257, 3308])).
% 8.41/6.36 tff(22259,plain,
% 8.41/6.36 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB173) <=> (v114(constB173) | v125(constB173)))),
% 8.41/6.36 inference(quant_inst,[status(thm)],[])).
% 8.41/6.36 tff(22260,plain,
% 8.41/6.36 (v113(constB173) <=> (v114(constB173) | v125(constB173))),
% 8.41/6.36 inference(unit_resolution,[status(thm)],[22259, 3317])).
% 8.41/6.36 tff(22261,plain,
% 8.41/6.36 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB173) <=> (v115(constB173) | v124(constB173)))),
% 8.41/6.36 inference(quant_inst,[status(thm)],[])).
% 8.41/6.36 tff(22262,plain,
% 8.41/6.36 (v114(constB173) <=> (v115(constB173) | v124(constB173))),
% 8.41/6.36 inference(unit_resolution,[status(thm)],[22261, 3326])).
% 8.41/6.36 tff(22263,plain,
% 8.41/6.36 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB173) <=> (v116(constB173) | v123(constB173)))),
% 8.41/6.36 inference(quant_inst,[status(thm)],[])).
% 8.41/6.36 tff(22264,plain,
% 8.41/6.36 (v115(constB173) <=> (v116(constB173) | v123(constB173))),
% 8.41/6.36 inference(unit_resolution,[status(thm)],[22263, 3335])).
% 8.41/6.36 tff(22265,plain,
% 8.41/6.36 ((v116(constB173) | v123(constB173)) | (~v123(constB173))),
% 8.41/6.36 inference(tautology,[status(thm)],[])).
% 8.41/6.36 tff(22266,plain,
% 8.41/6.36 (v116(constB173) | v123(constB173)),
% 8.41/6.36 inference(unit_resolution,[status(thm)],[22265, 22207])).
% 8.41/6.36 tff(22267,plain,
% 8.41/6.36 ((~(v115(constB173) <=> (v116(constB173) | v123(constB173)))) | v115(constB173) | (~(v116(constB173) | v123(constB173)))),
% 8.41/6.36 inference(tautology,[status(thm)],[])).
% 8.41/6.36 tff(22268,plain,
% 8.41/6.36 (v115(constB173)),
% 8.41/6.36 inference(unit_resolution,[status(thm)],[22267, 22266, 22264])).
% 8.41/6.36 tff(22269,plain,
% 8.41/6.36 ((v115(constB173) | v124(constB173)) | (~v115(constB173))),
% 8.41/6.36 inference(tautology,[status(thm)],[])).
% 8.41/6.36 tff(22270,plain,
% 8.41/6.36 (v115(constB173) | v124(constB173)),
% 8.41/6.36 inference(unit_resolution,[status(thm)],[22269, 22268])).
% 8.41/6.36 tff(22271,plain,
% 8.41/6.36 ((~(v114(constB173) <=> (v115(constB173) | v124(constB173)))) | v114(constB173) | (~(v115(constB173) | v124(constB173)))),
% 8.41/6.36 inference(tautology,[status(thm)],[])).
% 8.41/6.36 tff(22272,plain,
% 8.41/6.36 (v114(constB173)),
% 8.41/6.36 inference(unit_resolution,[status(thm)],[22271, 22270, 22262])).
% 8.41/6.36 tff(22273,plain,
% 8.41/6.36 ((v114(constB173) | v125(constB173)) | (~v114(constB173))),
% 8.41/6.36 inference(tautology,[status(thm)],[])).
% 8.41/6.36 tff(22274,plain,
% 8.41/6.36 (v114(constB173) | v125(constB173)),
% 8.41/6.36 inference(unit_resolution,[status(thm)],[22273, 22272])).
% 8.41/6.36 tff(22275,plain,
% 8.41/6.36 ((~(v113(constB173) <=> (v114(constB173) | v125(constB173)))) | v113(constB173) | (~(v114(constB173) | v125(constB173)))),
% 8.41/6.36 inference(tautology,[status(thm)],[])).
% 8.41/6.36 tff(22276,plain,
% 8.41/6.36 (v113(constB173)),
% 8.41/6.36 inference(unit_resolution,[status(thm)],[22275, 22274, 22260])).
% 8.41/6.36 tff(22277,plain,
% 8.41/6.36 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB173)) <=> v111(constB173))),
% 8.41/6.36 inference(quant_inst,[status(thm)],[])).
% 8.41/6.36 tff(22278,plain,
% 8.41/6.36 ((~v126(constB173)) <=> v111(constB173)),
% 8.41/6.36 inference(unit_resolution,[status(thm)],[22277, 3396])).
% 8.41/6.36 tff(22279,plain,
% 8.41/6.36 ((~((~v126(constB173)) <=> v111(constB173))) | v126(constB173) | v111(constB173)),
% 8.41/6.36 inference(tautology,[status(thm)],[])).
% 8.41/6.36 tff(22280,plain,
% 8.41/6.36 ((~((~v126(constB173)) <=> v111(constB173))) | v126(constB173)),
% 8.41/6.36 inference(unit_resolution,[status(thm)],[22279, 15690])).
% 8.41/6.36 tff(22281,plain,
% 8.41/6.36 (v126(constB173)),
% 8.41/6.36 inference(unit_resolution,[status(thm)],[22280, 22278])).
% 8.41/6.36 tff(22282,plain,
% 8.41/6.36 ((~((~v113(constB173)) | (~v126(constB173)))) | (~v113(constB173)) | (~v126(constB173))),
% 8.41/6.36 inference(tautology,[status(thm)],[])).
% 8.41/6.36 tff(22283,plain,
% 8.41/6.36 ((~((~v113(constB173)) | (~v126(constB173)))) | (~v113(constB173))),
% 8.41/6.36 inference(unit_resolution,[status(thm)],[22282, 22281])).
% 8.41/6.36 tff(22284,plain,
% 8.41/6.36 (~((~v113(constB173)) | (~v126(constB173)))),
% 8.41/6.36 inference(unit_resolution,[status(thm)],[22283, 22276])).
% 8.41/6.36 tff(22285,plain,
% 8.41/6.36 ((~(v112(constB173) <=> (~((~v113(constB173)) | (~v126(constB173)))))) | v112(constB173) | ((~v113(constB173)) | (~v126(constB173)))),
% 8.41/6.36 inference(tautology,[status(thm)],[])).
% 8.41/6.36 tff(22286,plain,
% 8.41/6.36 (v112(constB173)),
% 8.41/6.36 inference(unit_resolution,[status(thm)],[22285, 22284, 22258])).
% 8.41/6.36 tff(22287,plain,
% 8.41/6.36 ((v111(constB173) | v112(constB173)) | (~v112(constB173))),
% 8.41/6.36 inference(tautology,[status(thm)],[])).
% 8.41/6.36 tff(22288,plain,
% 8.41/6.36 (v111(constB173) | v112(constB173)),
% 8.41/6.36 inference(unit_resolution,[status(thm)],[22287, 22286])).
% 8.41/6.36 tff(22289,plain,
% 8.41/6.36 ((~(v108(constB173) <=> (v111(constB173) | v112(constB173)))) | v108(constB173) | (~(v111(constB173) | v112(constB173)))),
% 8.41/6.36 inference(tautology,[status(thm)],[])).
% 8.41/6.36 tff(22290,plain,
% 8.41/6.36 (v108(constB173)),
% 8.41/6.36 inference(unit_resolution,[status(thm)],[22289, 22288, 22256])).
% 8.41/6.36 tff(22291,plain,
% 8.41/6.36 ((~(v110(constB174) <=> v108(constB173))) | v110(constB174) | (~v108(constB173))),
% 8.41/6.36 inference(tautology,[status(thm)],[])).
% 8.41/6.36 tff(22292,plain,
% 8.41/6.36 (v110(constB174)),
% 8.41/6.36 inference(unit_resolution,[status(thm)],[22291, 22290, 22254])).
% 8.41/6.36 tff(22293,plain,
% 8.41/6.36 ((~((~v101(constB174)) | (~v110(constB174)))) | (~v101(constB174)) | (~v110(constB174))),
% 8.41/6.36 inference(tautology,[status(thm)],[])).
% 8.41/6.36 tff(22294,plain,
% 8.41/6.36 (~((~v101(constB174)) | (~v110(constB174)))),
% 8.41/6.36 inference(unit_resolution,[status(thm)],[22293, 22292, 22250])).
% 8.41/6.36 tff(22295,plain,
% 8.41/6.36 ((~(v100(constB174) <=> (~((~v101(constB174)) | (~v110(constB174)))))) | v100(constB174) | ((~v101(constB174)) | (~v110(constB174)))),
% 8.41/6.36 inference(tautology,[status(thm)],[])).
% 8.41/6.36 tff(22296,plain,
% 8.41/6.36 (v100(constB174)),
% 8.41/6.36 inference(unit_resolution,[status(thm)],[22295, 22294, 22222])).
% 8.41/6.36 tff(22297,plain,
% 8.41/6.36 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB174)) | (~(((~v90(constB174, bitIndex0)) <=> v129(constB174, bitIndex0)) | ((~v90(constB174, bitIndex2)) <=> v129(constB174, bitIndex2)) | ((~v90(constB174, bitIndex1)) <=> v129(constB174, bitIndex1)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB174)) | (~(((~v90(constB174, bitIndex0)) <=> v129(constB174, bitIndex0)) | ((~v90(constB174, bitIndex2)) <=> v129(constB174, bitIndex2)) | ((~v90(constB174, bitIndex1)) <=> v129(constB174, bitIndex1)))))),
% 8.41/6.36 inference(rewrite,[status(thm)],[])).
% 8.41/6.36 tff(22298,plain,
% 8.41/6.36 (((~v100(constB174)) | (~(((~v90(constB174, bitIndex2)) <=> v129(constB174, bitIndex2)) | ((~v90(constB174, bitIndex1)) <=> v129(constB174, bitIndex1)) | ((~v90(constB174, bitIndex0)) <=> v129(constB174, bitIndex0))))) <=> ((~v100(constB174)) | (~(((~v90(constB174, bitIndex0)) <=> v129(constB174, bitIndex0)) | ((~v90(constB174, bitIndex2)) <=> v129(constB174, bitIndex2)) | ((~v90(constB174, bitIndex1)) <=> v129(constB174, bitIndex1)))))),
% 8.41/6.36 inference(rewrite,[status(thm)],[])).
% 8.41/6.36 tff(22299,plain,
% 8.41/6.36 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB174)) | (~(((~v90(constB174, bitIndex2)) <=> v129(constB174, bitIndex2)) | ((~v90(constB174, bitIndex1)) <=> v129(constB174, bitIndex1)) | ((~v90(constB174, bitIndex0)) <=> v129(constB174, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB174)) | (~(((~v90(constB174, bitIndex0)) <=> v129(constB174, bitIndex0)) | ((~v90(constB174, bitIndex2)) <=> v129(constB174, bitIndex2)) | ((~v90(constB174, bitIndex1)) <=> v129(constB174, bitIndex1))))))),
% 8.41/6.36 inference(monotonicity,[status(thm)],[22298])).
% 8.41/6.36 tff(22300,plain,
% 8.41/6.36 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB174)) | (~(((~v90(constB174, bitIndex2)) <=> v129(constB174, bitIndex2)) | ((~v90(constB174, bitIndex1)) <=> v129(constB174, bitIndex1)) | ((~v90(constB174, bitIndex0)) <=> v129(constB174, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB174)) | (~(((~v90(constB174, bitIndex0)) <=> v129(constB174, bitIndex0)) | ((~v90(constB174, bitIndex2)) <=> v129(constB174, bitIndex2)) | ((~v90(constB174, bitIndex1)) <=> v129(constB174, bitIndex1)))))),
% 8.41/6.36 inference(transitivity,[status(thm)],[22299, 22297])).
% 8.41/6.36 tff(22301,plain,
% 8.41/6.36 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB174)) | (~(((~v90(constB174, bitIndex2)) <=> v129(constB174, bitIndex2)) | ((~v90(constB174, bitIndex1)) <=> v129(constB174, bitIndex1)) | ((~v90(constB174, bitIndex0)) <=> v129(constB174, bitIndex0)))))),
% 8.41/6.36 inference(quant_inst,[status(thm)],[])).
% 8.41/6.36 tff(22302,plain,
% 8.41/6.36 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB174)) | (~(((~v90(constB174, bitIndex0)) <=> v129(constB174, bitIndex0)) | ((~v90(constB174, bitIndex2)) <=> v129(constB174, bitIndex2)) | ((~v90(constB174, bitIndex1)) <=> v129(constB174, bitIndex1))))),
% 8.41/6.36 inference(modus_ponens,[status(thm)],[22301, 22300])).
% 8.41/6.36 tff(22303,plain,
% 8.41/6.36 ((~v100(constB174)) | (~(((~v90(constB174, bitIndex0)) <=> v129(constB174, bitIndex0)) | ((~v90(constB174, bitIndex2)) <=> v129(constB174, bitIndex2)) | ((~v90(constB174, bitIndex1)) <=> v129(constB174, bitIndex1))))),
% 8.41/6.36 inference(unit_resolution,[status(thm)],[22302, 3429])).
% 8.41/6.36 tff(22304,plain,
% 8.41/6.36 (~(((~v90(constB174, bitIndex0)) <=> v129(constB174, bitIndex0)) | ((~v90(constB174, bitIndex2)) <=> v129(constB174, bitIndex2)) | ((~v90(constB174, bitIndex1)) <=> v129(constB174, bitIndex1)))),
% 8.41/6.36 inference(unit_resolution,[status(thm)],[22303, 22296])).
% 8.41/6.36 tff(22305,plain,
% 8.41/6.36 ((((~v90(constB174, bitIndex0)) <=> v129(constB174, bitIndex0)) | ((~v90(constB174, bitIndex2)) <=> v129(constB174, bitIndex2)) | ((~v90(constB174, bitIndex1)) <=> v129(constB174, bitIndex1))) | (~((~v90(constB174, bitIndex0)) <=> v129(constB174, bitIndex0)))),
% 8.41/6.36 inference(tautology,[status(thm)],[])).
% 8.41/6.36 tff(22306,plain,
% 8.41/6.36 (~((~v90(constB174, bitIndex0)) <=> v129(constB174, bitIndex0))),
% 8.41/6.36 inference(unit_resolution,[status(thm)],[22305, 22304])).
% 8.41/6.36 tff(22307,plain,
% 8.41/6.36 (((~v90(constB174, bitIndex0)) <=> v129(constB174, bitIndex0)) | (~v90(constB174, bitIndex0)) | v129(constB174, bitIndex0)),
% 8.41/6.36 inference(tautology,[status(thm)],[])).
% 8.41/6.36 tff(22308,plain,
% 8.41/6.36 (~v90(constB174, bitIndex0)),
% 8.41/6.36 inference(unit_resolution,[status(thm)],[22307, 22306, 22218])).
% 8.41/6.36 tff(22309,plain,
% 8.41/6.36 (((~v90(constB175, bitIndex0)) <=> v90(constB174, bitIndex0)) | (~v90(constB175, bitIndex0)) | v90(constB174, bitIndex0)),
% 8.41/6.36 inference(tautology,[status(thm)],[])).
% 8.41/6.36 tff(22310,plain,
% 8.41/6.36 (~v90(constB175, bitIndex0)),
% 8.41/6.36 inference(unit_resolution,[status(thm)],[22309, 22308, 15674])).
% 8.41/6.36 tff(22311,plain,
% 8.41/6.36 ((v90(constB175, bitIndex1) | v90(constB175, bitIndex2) | (~v90(constB175, bitIndex0))) | v90(constB175, bitIndex0)),
% 8.41/6.36 inference(tautology,[status(thm)],[])).
% 8.41/6.36 tff(22312,plain,
% 8.41/6.36 (v90(constB175, bitIndex1) | v90(constB175, bitIndex2) | (~v90(constB175, bitIndex0))),
% 8.41/6.36 inference(unit_resolution,[status(thm)],[22311, 22310])).
% 8.41/6.36 tff(22313,plain,
% 8.41/6.36 ((~(v120(constB175) <=> (~(v90(constB175, bitIndex1) | v90(constB175, bitIndex2) | (~v90(constB175, bitIndex0)))))) | (~v120(constB175)) | (~(v90(constB175, bitIndex1) | v90(constB175, bitIndex2) | (~v90(constB175, bitIndex0))))),
% 8.41/6.36 inference(tautology,[status(thm)],[])).
% 8.41/6.36 tff(22314,plain,
% 8.41/6.36 (~v120(constB175)),
% 8.41/6.36 inference(unit_resolution,[status(thm)],[22313, 22312, 15638])).
% 8.41/6.36 tff(22315,plain,
% 8.41/6.36 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB175) <=> (~(v90(constB175, bitIndex1) | (~v90(constB175, bitIndex2)) | (~v90(constB175, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB175) <=> (~(v90(constB175, bitIndex1) | (~v90(constB175, bitIndex2)) | (~v90(constB175, bitIndex0))))))),
% 8.41/6.36 inference(rewrite,[status(thm)],[])).
% 8.41/6.36 tff(22316,plain,
% 8.41/6.36 ((v124(constB175) <=> (~(v90(constB175, bitIndex1) | (~v90(constB175, bitIndex0)) | (~v90(constB175, bitIndex2))))) <=> (v124(constB175) <=> (~(v90(constB175, bitIndex1) | (~v90(constB175, bitIndex2)) | (~v90(constB175, bitIndex0)))))),
% 8.41/6.36 inference(rewrite,[status(thm)],[])).
% 8.41/6.36 tff(22317,plain,
% 8.41/6.36 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB175) <=> (~(v90(constB175, bitIndex1) | (~v90(constB175, bitIndex0)) | (~v90(constB175, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB175) <=> (~(v90(constB175, bitIndex1) | (~v90(constB175, bitIndex2)) | (~v90(constB175, bitIndex0))))))),
% 8.41/6.36 inference(monotonicity,[status(thm)],[22316])).
% 8.41/6.36 tff(22318,plain,
% 8.41/6.36 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB175) <=> (~(v90(constB175, bitIndex1) | (~v90(constB175, bitIndex0)) | (~v90(constB175, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB175) <=> (~(v90(constB175, bitIndex1) | (~v90(constB175, bitIndex2)) | (~v90(constB175, bitIndex0))))))),
% 8.41/6.36 inference(transitivity,[status(thm)],[22317, 22315])).
% 8.41/6.36 tff(22319,plain,
% 8.41/6.36 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB175) <=> (~(v90(constB175, bitIndex1) | (~v90(constB175, bitIndex0)) | (~v90(constB175, bitIndex2)))))),
% 8.41/6.36 inference(quant_inst,[status(thm)],[])).
% 8.41/6.36 tff(22320,plain,
% 8.41/6.36 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB175) <=> (~(v90(constB175, bitIndex1) | (~v90(constB175, bitIndex2)) | (~v90(constB175, bitIndex0)))))),
% 8.41/6.36 inference(modus_ponens,[status(thm)],[22319, 22318])).
% 8.41/6.36 tff(22321,plain,
% 8.41/6.36 (v124(constB175) <=> (~(v90(constB175, bitIndex1) | (~v90(constB175, bitIndex2)) | (~v90(constB175, bitIndex0))))),
% 8.41/6.36 inference(unit_resolution,[status(thm)],[22320, 3613])).
% 8.41/6.36 tff(22322,plain,
% 8.41/6.36 ((v90(constB175, bitIndex1) | (~v90(constB175, bitIndex2)) | (~v90(constB175, bitIndex0))) | v90(constB175, bitIndex0)),
% 8.41/6.36 inference(tautology,[status(thm)],[])).
% 8.41/6.36 tff(22323,plain,
% 8.41/6.36 (v90(constB175, bitIndex1) | (~v90(constB175, bitIndex2)) | (~v90(constB175, bitIndex0))),
% 8.41/6.37 inference(unit_resolution,[status(thm)],[22322, 22310])).
% 8.41/6.37 tff(22324,plain,
% 8.41/6.37 ((~(v124(constB175) <=> (~(v90(constB175, bitIndex1) | (~v90(constB175, bitIndex2)) | (~v90(constB175, bitIndex0)))))) | (~v124(constB175)) | (~(v90(constB175, bitIndex1) | (~v90(constB175, bitIndex2)) | (~v90(constB175, bitIndex0))))),
% 8.41/6.37 inference(tautology,[status(thm)],[])).
% 8.41/6.37 tff(22325,plain,
% 8.41/6.37 (~v124(constB175)),
% 8.41/6.37 inference(unit_resolution,[status(thm)],[22324, 22323, 22321])).
% 8.41/6.37 tff(22326,plain,
% 8.41/6.37 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB175) <=> (~(v90(constB175, bitIndex1) | v90(constB175, bitIndex0) | (~v90(constB175, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB175) <=> (~(v90(constB175, bitIndex1) | v90(constB175, bitIndex0) | (~v90(constB175, bitIndex2))))))),
% 8.41/6.37 inference(rewrite,[status(thm)],[])).
% 8.41/6.37 tff(22327,plain,
% 8.41/6.37 ((v123(constB175) <=> (~(v90(constB175, bitIndex0) | v90(constB175, bitIndex1) | (~v90(constB175, bitIndex2))))) <=> (v123(constB175) <=> (~(v90(constB175, bitIndex1) | v90(constB175, bitIndex0) | (~v90(constB175, bitIndex2)))))),
% 8.41/6.37 inference(rewrite,[status(thm)],[])).
% 8.41/6.37 tff(22328,plain,
% 8.41/6.37 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB175) <=> (~(v90(constB175, bitIndex0) | v90(constB175, bitIndex1) | (~v90(constB175, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB175) <=> (~(v90(constB175, bitIndex1) | v90(constB175, bitIndex0) | (~v90(constB175, bitIndex2))))))),
% 8.41/6.37 inference(monotonicity,[status(thm)],[22327])).
% 8.41/6.37 tff(22329,plain,
% 8.41/6.37 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB175) <=> (~(v90(constB175, bitIndex0) | v90(constB175, bitIndex1) | (~v90(constB175, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB175) <=> (~(v90(constB175, bitIndex1) | v90(constB175, bitIndex0) | (~v90(constB175, bitIndex2))))))),
% 8.41/6.37 inference(transitivity,[status(thm)],[22328, 22326])).
% 8.41/6.37 tff(22330,plain,
% 8.41/6.37 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB175) <=> (~(v90(constB175, bitIndex0) | v90(constB175, bitIndex1) | (~v90(constB175, bitIndex2)))))),
% 8.41/6.37 inference(quant_inst,[status(thm)],[])).
% 8.41/6.37 tff(22331,plain,
% 8.41/6.37 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB175) <=> (~(v90(constB175, bitIndex1) | v90(constB175, bitIndex0) | (~v90(constB175, bitIndex2)))))),
% 8.41/6.37 inference(modus_ponens,[status(thm)],[22330, 22329])).
% 8.41/6.37 tff(22332,plain,
% 8.41/6.37 (v123(constB175) <=> (~(v90(constB175, bitIndex1) | v90(constB175, bitIndex0) | (~v90(constB175, bitIndex2))))),
% 8.41/6.37 inference(unit_resolution,[status(thm)],[22331, 800])).
% 8.41/6.37 tff(22333,plain,
% 8.41/6.37 ((((~v90(constB175, bitIndex1)) <=> v90(constB174, bitIndex1)) | ((~v90(constB175, bitIndex2)) <=> v90(constB174, bitIndex2)) | ((~v90(constB175, bitIndex0)) <=> v90(constB174, bitIndex0))) | (~((~v90(constB175, bitIndex1)) <=> v90(constB174, bitIndex1)))),
% 8.41/6.37 inference(tautology,[status(thm)],[])).
% 8.41/6.37 tff(22334,plain,
% 8.41/6.37 (~((~v90(constB175, bitIndex1)) <=> v90(constB174, bitIndex1))),
% 8.41/6.37 inference(unit_resolution,[status(thm)],[22333, 15672])).
% 8.41/6.37 tff(22335,plain,
% 8.41/6.37 ((((~v129(constB174, bitIndex2)) <=> v127(constB173, bitIndex2)) | ((~v129(constB174, bitIndex1)) <=> v127(constB173, bitIndex1)) | ((~v129(constB174, bitIndex0)) <=> v127(constB173, bitIndex0))) | (~((~v129(constB174, bitIndex1)) <=> v127(constB173, bitIndex1)))),
% 8.41/6.37 inference(tautology,[status(thm)],[])).
% 8.41/6.37 tff(22336,plain,
% 8.41/6.37 (~((~v129(constB174, bitIndex1)) <=> v127(constB173, bitIndex1))),
% 8.41/6.37 inference(unit_resolution,[status(thm)],[22335, 15681])).
% 8.41/6.37 tff(22337,plain,
% 8.41/6.37 ((((~v127(constB173, bitIndex2)) <=> v130(constB173, bitIndex2)) | ((~v127(constB173, bitIndex1)) <=> v130(constB173, bitIndex1)) | ((~v127(constB173, bitIndex0)) <=> v130(constB173, bitIndex0))) | (~((~v127(constB173, bitIndex1)) <=> v130(constB173, bitIndex1)))),
% 8.41/6.37 inference(tautology,[status(thm)],[])).
% 8.41/6.37 tff(22338,plain,
% 8.41/6.37 (~((~v127(constB173, bitIndex1)) <=> v130(constB173, bitIndex1))),
% 8.41/6.37 inference(unit_resolution,[status(thm)],[22337, 15695])).
% 8.41/6.37 tff(22339,plain,
% 8.41/6.37 ((v130(constB173, bitIndex0) | (~v130(constB173, bitIndex2)) | (~v130(constB173, bitIndex1))) | v130(constB173, bitIndex1)),
% 8.41/6.37 inference(tautology,[status(thm)],[])).
% 8.41/6.37 tff(22340,plain,
% 8.41/6.37 (v130(constB173, bitIndex1)),
% 8.41/6.37 inference(unit_resolution,[status(thm)],[22339, 22212])).
% 8.41/6.37 tff(22341,plain,
% 8.41/6.37 (((~v127(constB173, bitIndex1)) <=> v130(constB173, bitIndex1)) | v127(constB173, bitIndex1) | (~v130(constB173, bitIndex1))),
% 8.41/6.37 inference(tautology,[status(thm)],[])).
% 8.41/6.37 tff(22342,plain,
% 8.41/6.37 (v127(constB173, bitIndex1)),
% 8.41/6.37 inference(unit_resolution,[status(thm)],[22341, 22340, 22338])).
% 8.41/6.37 tff(22343,plain,
% 8.41/6.37 (((~v129(constB174, bitIndex1)) <=> v127(constB173, bitIndex1)) | v129(constB174, bitIndex1) | (~v127(constB173, bitIndex1))),
% 8.41/6.37 inference(tautology,[status(thm)],[])).
% 8.41/6.37 tff(22344,plain,
% 8.41/6.37 (v129(constB174, bitIndex1)),
% 8.41/6.37 inference(unit_resolution,[status(thm)],[22343, 22342, 22336])).
% 8.41/6.37 tff(22345,plain,
% 8.41/6.37 ((((~v90(constB174, bitIndex0)) <=> v129(constB174, bitIndex0)) | ((~v90(constB174, bitIndex2)) <=> v129(constB174, bitIndex2)) | ((~v90(constB174, bitIndex1)) <=> v129(constB174, bitIndex1))) | (~((~v90(constB174, bitIndex1)) <=> v129(constB174, bitIndex1)))),
% 8.41/6.37 inference(tautology,[status(thm)],[])).
% 8.41/6.37 tff(22346,plain,
% 8.41/6.37 (~((~v90(constB174, bitIndex1)) <=> v129(constB174, bitIndex1))),
% 8.41/6.37 inference(unit_resolution,[status(thm)],[22345, 22304])).
% 8.41/6.37 tff(22347,plain,
% 8.41/6.37 (((~v90(constB174, bitIndex1)) <=> v129(constB174, bitIndex1)) | v90(constB174, bitIndex1) | (~v129(constB174, bitIndex1))),
% 8.41/6.37 inference(tautology,[status(thm)],[])).
% 8.41/6.37 tff(22348,plain,
% 8.41/6.37 (v90(constB174, bitIndex1)),
% 8.41/6.37 inference(unit_resolution,[status(thm)],[22347, 22346, 22344])).
% 8.41/6.37 tff(22349,plain,
% 8.41/6.37 (((~v90(constB175, bitIndex1)) <=> v90(constB174, bitIndex1)) | v90(constB175, bitIndex1) | (~v90(constB174, bitIndex1))),
% 8.41/6.37 inference(tautology,[status(thm)],[])).
% 8.41/6.37 tff(22350,plain,
% 8.41/6.37 (v90(constB175, bitIndex1)),
% 8.41/6.37 inference(unit_resolution,[status(thm)],[22349, 22348, 22334])).
% 8.41/6.37 tff(22351,plain,
% 8.41/6.37 ((v90(constB175, bitIndex1) | v90(constB175, bitIndex0) | (~v90(constB175, bitIndex2))) | (~v90(constB175, bitIndex1))),
% 8.41/6.37 inference(tautology,[status(thm)],[])).
% 8.41/6.37 tff(22352,plain,
% 8.41/6.37 (v90(constB175, bitIndex1) | v90(constB175, bitIndex0) | (~v90(constB175, bitIndex2))),
% 8.41/6.37 inference(unit_resolution,[status(thm)],[22351, 22350])).
% 8.41/6.37 tff(22353,plain,
% 8.41/6.37 ((~(v123(constB175) <=> (~(v90(constB175, bitIndex1) | v90(constB175, bitIndex0) | (~v90(constB175, bitIndex2)))))) | (~v123(constB175)) | (~(v90(constB175, bitIndex1) | v90(constB175, bitIndex0) | (~v90(constB175, bitIndex2))))),
% 8.41/6.37 inference(tautology,[status(thm)],[])).
% 8.41/6.37 tff(22354,plain,
% 8.41/6.37 (~v123(constB175)),
% 8.41/6.37 inference(unit_resolution,[status(thm)],[22353, 22352, 22332])).
% 8.41/6.37 tff(22355,plain,
% 8.41/6.37 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB175) <=> (~(v90(constB175, bitIndex2) | (~v90(constB175, bitIndex1)) | (~v90(constB175, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB175) <=> (~(v90(constB175, bitIndex2) | (~v90(constB175, bitIndex1)) | (~v90(constB175, bitIndex0))))))),
% 8.41/6.37 inference(rewrite,[status(thm)],[])).
% 8.41/6.37 tff(22356,plain,
% 8.41/6.37 ((v122(constB175) <=> (~(v90(constB175, bitIndex2) | (~v90(constB175, bitIndex0)) | (~v90(constB175, bitIndex1))))) <=> (v122(constB175) <=> (~(v90(constB175, bitIndex2) | (~v90(constB175, bitIndex1)) | (~v90(constB175, bitIndex0)))))),
% 8.41/6.37 inference(rewrite,[status(thm)],[])).
% 8.41/6.37 tff(22357,plain,
% 8.41/6.37 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB175) <=> (~(v90(constB175, bitIndex2) | (~v90(constB175, bitIndex0)) | (~v90(constB175, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB175) <=> (~(v90(constB175, bitIndex2) | (~v90(constB175, bitIndex1)) | (~v90(constB175, bitIndex0))))))),
% 8.41/6.37 inference(monotonicity,[status(thm)],[22356])).
% 8.41/6.37 tff(22358,plain,
% 8.41/6.37 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB175) <=> (~(v90(constB175, bitIndex2) | (~v90(constB175, bitIndex0)) | (~v90(constB175, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB175) <=> (~(v90(constB175, bitIndex2) | (~v90(constB175, bitIndex1)) | (~v90(constB175, bitIndex0))))))),
% 8.41/6.37 inference(transitivity,[status(thm)],[22357, 22355])).
% 8.41/6.37 tff(22359,plain,
% 8.41/6.37 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB175) <=> (~(v90(constB175, bitIndex2) | (~v90(constB175, bitIndex0)) | (~v90(constB175, bitIndex1)))))),
% 8.41/6.37 inference(quant_inst,[status(thm)],[])).
% 8.41/6.37 tff(22360,plain,
% 8.41/6.37 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB175) <=> (~(v90(constB175, bitIndex2) | (~v90(constB175, bitIndex1)) | (~v90(constB175, bitIndex0)))))),
% 8.41/6.37 inference(modus_ponens,[status(thm)],[22359, 22358])).
% 8.41/6.37 tff(22361,plain,
% 8.41/6.37 (v122(constB175) <=> (~(v90(constB175, bitIndex2) | (~v90(constB175, bitIndex1)) | (~v90(constB175, bitIndex0))))),
% 8.41/6.37 inference(unit_resolution,[status(thm)],[22360, 879])).
% 8.41/6.37 tff(22362,plain,
% 8.41/6.37 ((v90(constB175, bitIndex2) | (~v90(constB175, bitIndex1)) | (~v90(constB175, bitIndex0))) | v90(constB175, bitIndex0)),
% 8.41/6.37 inference(tautology,[status(thm)],[])).
% 8.41/6.37 tff(22363,plain,
% 8.41/6.37 (v90(constB175, bitIndex2) | (~v90(constB175, bitIndex1)) | (~v90(constB175, bitIndex0))),
% 8.41/6.37 inference(unit_resolution,[status(thm)],[22362, 22310])).
% 8.41/6.37 tff(22364,plain,
% 8.41/6.37 ((~(v122(constB175) <=> (~(v90(constB175, bitIndex2) | (~v90(constB175, bitIndex1)) | (~v90(constB175, bitIndex0)))))) | (~v122(constB175)) | (~(v90(constB175, bitIndex2) | (~v90(constB175, bitIndex1)) | (~v90(constB175, bitIndex0))))),
% 8.41/6.37 inference(tautology,[status(thm)],[])).
% 8.41/6.37 tff(22365,plain,
% 8.41/6.37 (~v122(constB175)),
% 8.41/6.37 inference(unit_resolution,[status(thm)],[22364, 22363, 22361])).
% 8.41/6.37 tff(22366,plain,
% 8.41/6.37 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB175) <=> (~(v90(constB175, bitIndex2) | v90(constB175, bitIndex0) | (~v90(constB175, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB175) <=> (~(v90(constB175, bitIndex2) | v90(constB175, bitIndex0) | (~v90(constB175, bitIndex1))))))),
% 8.41/6.37 inference(rewrite,[status(thm)],[])).
% 8.41/6.37 tff(22367,plain,
% 8.41/6.37 ((v121(constB175) <=> (~(v90(constB175, bitIndex0) | v90(constB175, bitIndex2) | (~v90(constB175, bitIndex1))))) <=> (v121(constB175) <=> (~(v90(constB175, bitIndex2) | v90(constB175, bitIndex0) | (~v90(constB175, bitIndex1)))))),
% 8.41/6.37 inference(rewrite,[status(thm)],[])).
% 8.41/6.37 tff(22368,plain,
% 8.41/6.37 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB175) <=> (~(v90(constB175, bitIndex0) | v90(constB175, bitIndex2) | (~v90(constB175, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB175) <=> (~(v90(constB175, bitIndex2) | v90(constB175, bitIndex0) | (~v90(constB175, bitIndex1))))))),
% 8.41/6.37 inference(monotonicity,[status(thm)],[22367])).
% 8.41/6.37 tff(22369,plain,
% 8.41/6.37 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB175) <=> (~(v90(constB175, bitIndex0) | v90(constB175, bitIndex2) | (~v90(constB175, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB175) <=> (~(v90(constB175, bitIndex2) | v90(constB175, bitIndex0) | (~v90(constB175, bitIndex1))))))),
% 8.41/6.37 inference(transitivity,[status(thm)],[22368, 22366])).
% 8.41/6.37 tff(22370,plain,
% 8.41/6.37 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB175) <=> (~(v90(constB175, bitIndex0) | v90(constB175, bitIndex2) | (~v90(constB175, bitIndex1)))))),
% 8.41/6.37 inference(quant_inst,[status(thm)],[])).
% 8.41/6.37 tff(22371,plain,
% 8.41/6.37 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB175) <=> (~(v90(constB175, bitIndex2) | v90(constB175, bitIndex0) | (~v90(constB175, bitIndex1)))))),
% 8.41/6.37 inference(modus_ponens,[status(thm)],[22370, 22369])).
% 8.41/6.37 tff(22372,plain,
% 8.41/6.37 (v121(constB175) <=> (~(v90(constB175, bitIndex2) | v90(constB175, bitIndex0) | (~v90(constB175, bitIndex1))))),
% 8.41/6.37 inference(unit_resolution,[status(thm)],[22371, 586])).
% 8.41/6.37 tff(22373,plain,
% 8.41/6.37 ((((~v90(constB175, bitIndex1)) <=> v90(constB174, bitIndex1)) | ((~v90(constB175, bitIndex2)) <=> v90(constB174, bitIndex2)) | ((~v90(constB175, bitIndex0)) <=> v90(constB174, bitIndex0))) | (~((~v90(constB175, bitIndex2)) <=> v90(constB174, bitIndex2)))),
% 8.41/6.37 inference(tautology,[status(thm)],[])).
% 8.41/6.37 tff(22374,plain,
% 8.41/6.37 (~((~v90(constB175, bitIndex2)) <=> v90(constB174, bitIndex2))),
% 8.41/6.37 inference(unit_resolution,[status(thm)],[22373, 15672])).
% 8.41/6.37 tff(22375,plain,
% 8.41/6.37 ((((~v129(constB174, bitIndex2)) <=> v127(constB173, bitIndex2)) | ((~v129(constB174, bitIndex1)) <=> v127(constB173, bitIndex1)) | ((~v129(constB174, bitIndex0)) <=> v127(constB173, bitIndex0))) | (~((~v129(constB174, bitIndex2)) <=> v127(constB173, bitIndex2)))),
% 8.41/6.37 inference(tautology,[status(thm)],[])).
% 8.41/6.37 tff(22376,plain,
% 8.41/6.37 (~((~v129(constB174, bitIndex2)) <=> v127(constB173, bitIndex2))),
% 8.41/6.37 inference(unit_resolution,[status(thm)],[22375, 15681])).
% 8.41/6.37 tff(22377,plain,
% 8.41/6.37 ((((~v127(constB173, bitIndex2)) <=> v130(constB173, bitIndex2)) | ((~v127(constB173, bitIndex1)) <=> v130(constB173, bitIndex1)) | ((~v127(constB173, bitIndex0)) <=> v130(constB173, bitIndex0))) | (~((~v127(constB173, bitIndex2)) <=> v130(constB173, bitIndex2)))),
% 8.41/6.37 inference(tautology,[status(thm)],[])).
% 8.41/6.37 tff(22378,plain,
% 8.41/6.37 (~((~v127(constB173, bitIndex2)) <=> v130(constB173, bitIndex2))),
% 8.41/6.37 inference(unit_resolution,[status(thm)],[22377, 15695])).
% 8.41/6.37 tff(22379,plain,
% 8.41/6.37 ((v130(constB173, bitIndex0) | (~v130(constB173, bitIndex2)) | (~v130(constB173, bitIndex1))) | v130(constB173, bitIndex2)),
% 8.41/6.37 inference(tautology,[status(thm)],[])).
% 8.41/6.37 tff(22380,plain,
% 8.41/6.37 (v130(constB173, bitIndex2)),
% 8.41/6.37 inference(unit_resolution,[status(thm)],[22379, 22212])).
% 8.41/6.37 tff(22381,plain,
% 8.41/6.37 (((~v127(constB173, bitIndex2)) <=> v130(constB173, bitIndex2)) | v127(constB173, bitIndex2) | (~v130(constB173, bitIndex2))),
% 8.41/6.37 inference(tautology,[status(thm)],[])).
% 8.41/6.37 tff(22382,plain,
% 8.41/6.37 (v127(constB173, bitIndex2)),
% 8.41/6.37 inference(unit_resolution,[status(thm)],[22381, 22380, 22378])).
% 8.41/6.37 tff(22383,plain,
% 8.41/6.37 (((~v129(constB174, bitIndex2)) <=> v127(constB173, bitIndex2)) | v129(constB174, bitIndex2) | (~v127(constB173, bitIndex2))),
% 8.41/6.37 inference(tautology,[status(thm)],[])).
% 8.41/6.37 tff(22384,plain,
% 8.41/6.37 (v129(constB174, bitIndex2)),
% 8.41/6.37 inference(unit_resolution,[status(thm)],[22383, 22382, 22376])).
% 8.41/6.37 tff(22385,plain,
% 8.41/6.37 ((((~v90(constB174, bitIndex0)) <=> v129(constB174, bitIndex0)) | ((~v90(constB174, bitIndex2)) <=> v129(constB174, bitIndex2)) | ((~v90(constB174, bitIndex1)) <=> v129(constB174, bitIndex1))) | (~((~v90(constB174, bitIndex2)) <=> v129(constB174, bitIndex2)))),
% 8.41/6.37 inference(tautology,[status(thm)],[])).
% 8.41/6.37 tff(22386,plain,
% 8.41/6.37 (~((~v90(constB174, bitIndex2)) <=> v129(constB174, bitIndex2))),
% 8.41/6.37 inference(unit_resolution,[status(thm)],[22385, 22304])).
% 8.41/6.37 tff(22387,plain,
% 8.41/6.37 (((~v90(constB174, bitIndex2)) <=> v129(constB174, bitIndex2)) | v90(constB174, bitIndex2) | (~v129(constB174, bitIndex2))),
% 8.41/6.37 inference(tautology,[status(thm)],[])).
% 8.41/6.37 tff(22388,plain,
% 8.41/6.37 (v90(constB174, bitIndex2)),
% 8.41/6.37 inference(unit_resolution,[status(thm)],[22387, 22386, 22384])).
% 8.41/6.37 tff(22389,plain,
% 8.41/6.37 (((~v90(constB175, bitIndex2)) <=> v90(constB174, bitIndex2)) | v90(constB175, bitIndex2) | (~v90(constB174, bitIndex2))),
% 8.41/6.37 inference(tautology,[status(thm)],[])).
% 8.41/6.37 tff(22390,plain,
% 8.41/6.37 (v90(constB175, bitIndex2)),
% 8.41/6.37 inference(unit_resolution,[status(thm)],[22389, 22388, 22374])).
% 8.41/6.37 tff(22391,plain,
% 8.41/6.37 ((v90(constB175, bitIndex2) | v90(constB175, bitIndex0) | (~v90(constB175, bitIndex1))) | (~v90(constB175, bitIndex2))),
% 8.41/6.37 inference(tautology,[status(thm)],[])).
% 8.41/6.37 tff(22392,plain,
% 8.41/6.37 (v90(constB175, bitIndex2) | v90(constB175, bitIndex0) | (~v90(constB175, bitIndex1))),
% 8.41/6.37 inference(unit_resolution,[status(thm)],[22391, 22390])).
% 8.41/6.37 tff(22393,plain,
% 8.41/6.37 ((~(v121(constB175) <=> (~(v90(constB175, bitIndex2) | v90(constB175, bitIndex0) | (~v90(constB175, bitIndex1)))))) | (~v121(constB175)) | (~(v90(constB175, bitIndex2) | v90(constB175, bitIndex0) | (~v90(constB175, bitIndex1))))),
% 8.41/6.37 inference(tautology,[status(thm)],[])).
% 8.41/6.37 tff(22394,plain,
% 8.41/6.37 (~v121(constB175)),
% 8.41/6.37 inference(unit_resolution,[status(thm)],[22393, 22392, 22372])).
% 8.41/6.37 tff(22395,plain,
% 8.41/6.37 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB175) <=> (~(v90(constB175, bitIndex0) | v90(constB175, bitIndex1) | v90(constB175, bitIndex2))))),
% 8.41/6.37 inference(quant_inst,[status(thm)],[])).
% 8.41/6.37 tff(22396,plain,
% 8.41/6.37 (v119(constB175) <=> (~(v90(constB175, bitIndex0) | v90(constB175, bitIndex1) | v90(constB175, bitIndex2)))),
% 8.41/6.37 inference(unit_resolution,[status(thm)],[22395, 1085])).
% 8.41/6.37 tff(22397,plain,
% 8.41/6.37 ((v90(constB175, bitIndex0) | v90(constB175, bitIndex1) | v90(constB175, bitIndex2)) | (~v90(constB175, bitIndex2))),
% 8.41/6.37 inference(tautology,[status(thm)],[])).
% 8.41/6.37 tff(22398,plain,
% 8.41/6.37 (v90(constB175, bitIndex0) | v90(constB175, bitIndex1) | v90(constB175, bitIndex2)),
% 8.41/6.37 inference(unit_resolution,[status(thm)],[22397, 22390])).
% 8.41/6.37 tff(22399,plain,
% 8.41/6.37 ((~(v119(constB175) <=> (~(v90(constB175, bitIndex0) | v90(constB175, bitIndex1) | v90(constB175, bitIndex2))))) | (~v119(constB175)) | (~(v90(constB175, bitIndex0) | v90(constB175, bitIndex1) | v90(constB175, bitIndex2)))),
% 8.41/6.37 inference(tautology,[status(thm)],[])).
% 8.41/6.37 tff(22400,plain,
% 8.41/6.37 (~v119(constB175)),
% 8.41/6.37 inference(unit_resolution,[status(thm)],[22399, 22398, 22396])).
% 8.41/6.37 tff(22401,plain,
% 8.41/6.37 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v119(constB175) | v120(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175) | (~(v130(constB175, bitIndex2) | v130(constB175, bitIndex1) | (~v130(constB175, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | v119(constB175) | v120(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175) | (~(v130(constB175, bitIndex2) | v130(constB175, bitIndex1) | (~v130(constB175, bitIndex0)))))),
% 8.41/6.37 inference(rewrite,[status(thm)],[])).
% 8.41/6.37 tff(22402,plain,
% 8.41/6.37 ((v124(constB175) | v123(constB175) | v122(constB175) | v121(constB175) | v120(constB175) | v119(constB175) | (~(v130(constB175, bitIndex2) | v130(constB175, bitIndex1) | (~v130(constB175, bitIndex0))))) <=> (v119(constB175) | v120(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175) | (~(v130(constB175, bitIndex2) | v130(constB175, bitIndex1) | (~v130(constB175, bitIndex0)))))),
% 8.41/6.37 inference(rewrite,[status(thm)],[])).
% 8.41/6.37 tff(22403,plain,
% 8.41/6.37 ((~(v130(constB175, bitIndex1) | v130(constB175, bitIndex2) | (~v130(constB175, bitIndex0)))) <=> (~(v130(constB175, bitIndex2) | v130(constB175, bitIndex1) | (~v130(constB175, bitIndex0))))),
% 8.41/6.37 inference(rewrite,[status(thm)],[])).
% 8.41/6.37 tff(22404,plain,
% 8.41/6.37 ((v124(constB175) | v123(constB175) | v122(constB175) | v121(constB175) | v120(constB175) | v119(constB175) | (~(v130(constB175, bitIndex1) | v130(constB175, bitIndex2) | (~v130(constB175, bitIndex0))))) <=> (v124(constB175) | v123(constB175) | v122(constB175) | v121(constB175) | v120(constB175) | v119(constB175) | (~(v130(constB175, bitIndex2) | v130(constB175, bitIndex1) | (~v130(constB175, bitIndex0)))))),
% 8.41/6.37 inference(monotonicity,[status(thm)],[22403])).
% 8.41/6.37 tff(22405,plain,
% 8.41/6.37 ((v124(constB175) | v123(constB175) | v122(constB175) | v121(constB175) | v120(constB175) | v119(constB175) | (~(v130(constB175, bitIndex1) | v130(constB175, bitIndex2) | (~v130(constB175, bitIndex0))))) <=> (v119(constB175) | v120(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175) | (~(v130(constB175, bitIndex2) | v130(constB175, bitIndex1) | (~v130(constB175, bitIndex0)))))),
% 8.41/6.37 inference(transitivity,[status(thm)],[22404, 22402])).
% 8.41/6.37 tff(22406,plain,
% 8.41/6.37 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB175) | v123(constB175) | v122(constB175) | v121(constB175) | v120(constB175) | v119(constB175) | (~(v130(constB175, bitIndex1) | v130(constB175, bitIndex2) | (~v130(constB175, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v119(constB175) | v120(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175) | (~(v130(constB175, bitIndex2) | v130(constB175, bitIndex1) | (~v130(constB175, bitIndex0))))))),
% 8.41/6.37 inference(monotonicity,[status(thm)],[22405])).
% 8.41/6.37 tff(22407,plain,
% 8.41/6.37 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB175) | v123(constB175) | v122(constB175) | v121(constB175) | v120(constB175) | v119(constB175) | (~(v130(constB175, bitIndex1) | v130(constB175, bitIndex2) | (~v130(constB175, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | v119(constB175) | v120(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175) | (~(v130(constB175, bitIndex2) | v130(constB175, bitIndex1) | (~v130(constB175, bitIndex0)))))),
% 8.41/6.37 inference(transitivity,[status(thm)],[22406, 22401])).
% 8.41/6.37 tff(22408,plain,
% 8.41/6.37 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB175) | v123(constB175) | v122(constB175) | v121(constB175) | v120(constB175) | v119(constB175) | (~(v130(constB175, bitIndex1) | v130(constB175, bitIndex2) | (~v130(constB175, bitIndex0)))))),
% 8.41/6.37 inference(quant_inst,[status(thm)],[])).
% 8.41/6.37 tff(22409,plain,
% 8.41/6.37 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | v119(constB175) | v120(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175) | (~(v130(constB175, bitIndex2) | v130(constB175, bitIndex1) | (~v130(constB175, bitIndex0))))),
% 8.41/6.37 inference(modus_ponens,[status(thm)],[22408, 22407])).
% 8.41/6.37 tff(22410,plain,
% 8.41/6.37 (v119(constB175) | v120(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175) | (~(v130(constB175, bitIndex2) | v130(constB175, bitIndex1) | (~v130(constB175, bitIndex0))))),
% 8.41/6.37 inference(unit_resolution,[status(thm)],[22409, 3694])).
% 8.41/6.37 tff(22411,plain,
% 8.41/6.37 (~(v130(constB175, bitIndex2) | v130(constB175, bitIndex1) | (~v130(constB175, bitIndex0)))),
% 8.41/6.37 inference(unit_resolution,[status(thm)],[22410, 22400, 22394, 22365, 22354, 22325, 22314])).
% 8.41/6.37 tff(22412,plain,
% 8.41/6.37 ((v130(constB175, bitIndex2) | v130(constB175, bitIndex1) | (~v130(constB175, bitIndex0))) | (~v130(constB175, bitIndex2))),
% 8.41/6.37 inference(tautology,[status(thm)],[])).
% 8.41/6.37 tff(22413,plain,
% 8.41/6.37 (~v130(constB175, bitIndex2)),
% 8.41/6.37 inference(unit_resolution,[status(thm)],[22412, 22411])).
% 8.41/6.37 tff(22414,plain,
% 8.41/6.37 (((~v127(constB175, bitIndex2)) <=> v130(constB175, bitIndex2)) | (~v127(constB175, bitIndex2)) | v130(constB175, bitIndex2)),
% 8.41/6.37 inference(tautology,[status(thm)],[])).
% 8.41/6.37 tff(22415,plain,
% 8.41/6.37 (~v127(constB175, bitIndex2)),
% 8.41/6.37 inference(unit_resolution,[status(thm)],[22414, 22413, 15636])).
% 8.41/6.37 tff(22416,plain,
% 8.41/6.37 (((~v129(constB176, bitIndex2)) <=> v127(constB175, bitIndex2)) | (~v129(constB176, bitIndex2)) | v127(constB175, bitIndex2)),
% 8.41/6.37 inference(tautology,[status(thm)],[])).
% 8.41/6.37 tff(22417,plain,
% 8.41/6.37 (~v129(constB176, bitIndex2)),
% 8.41/6.37 inference(unit_resolution,[status(thm)],[22416, 22415, 15622])).
% 8.41/6.37 tff(22418,plain,
% 8.41/6.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB175, constB176)) | (v100(constB176) <=> (~((~v101(constB176)) | (~v110(constB176))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB175, constB176)) | (v100(constB176) <=> (~((~v101(constB176)) | (~v110(constB176))))))),
% 8.41/6.37 inference(rewrite,[status(thm)],[])).
% 8.41/6.37 tff(22419,plain,
% 8.41/6.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB175, constB176)) | (v100(constB176) <=> (~((~v101(constB176)) | (~v110(constB176))))))),
% 8.41/6.37 inference(quant_inst,[status(thm)],[])).
% 8.41/6.37 tff(22420,plain,
% 8.41/6.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB175, constB176)) | (v100(constB176) <=> (~((~v101(constB176)) | (~v110(constB176)))))),
% 8.41/6.37 inference(modus_ponens,[status(thm)],[22419, 22418])).
% 8.41/6.37 tff(22421,plain,
% 8.41/6.37 (v100(constB176) <=> (~((~v101(constB176)) | (~v110(constB176))))),
% 8.41/6.37 inference(unit_resolution,[status(thm)],[22420, 15616, 445])).
% 8.41/6.37 tff(22422,plain,
% 8.41/6.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB175, constB176)) | (v101(constB176) <=> (~((~v1(constB176)) | (~v102(constB176))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB175, constB176)) | (v101(constB176) <=> (~((~v1(constB176)) | (~v102(constB176))))))),
% 8.41/6.37 inference(rewrite,[status(thm)],[])).
% 8.41/6.37 tff(22423,plain,
% 8.41/6.37 (((~nextState(constB175, constB176)) | (v101(constB176) <=> (~((~v102(constB176)) | (~v1(constB176)))))) <=> ((~nextState(constB175, constB176)) | (v101(constB176) <=> (~((~v1(constB176)) | (~v102(constB176))))))),
% 8.41/6.37 inference(rewrite,[status(thm)],[])).
% 8.41/6.37 tff(22424,plain,
% 8.41/6.37 (((~![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) <=> (~((~v1(constB176)) | (~v102(constB176)))))))),
% 8.41/6.38 inference(monotonicity,[status(thm)],[22423])).
% 8.41/6.38 tff(22425,plain,
% 8.41/6.38 (((~![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) <=> (~((~v1(constB176)) | (~v102(constB176))))))),
% 8.41/6.38 inference(transitivity,[status(thm)],[22424, 22422])).
% 8.41/6.38 tff(22426,plain,
% 8.41/6.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB175, constB176)) | (v101(constB176) <=> (~((~v102(constB176)) | (~v1(constB176))))))),
% 8.41/6.38 inference(quant_inst,[status(thm)],[])).
% 8.41/6.38 tff(22427,plain,
% 8.41/6.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB175, constB176)) | (v101(constB176) <=> (~((~v1(constB176)) | (~v102(constB176)))))),
% 8.41/6.38 inference(modus_ponens,[status(thm)],[22426, 22425])).
% 8.41/6.38 tff(22428,plain,
% 8.41/6.38 (v101(constB176) <=> (~((~v1(constB176)) | (~v102(constB176))))),
% 8.41/6.38 inference(unit_resolution,[status(thm)],[22427, 15616, 465])).
% 8.41/6.38 tff(22429,plain,
% 8.41/6.38 (((~![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)))),
% 8.41/6.38 inference(rewrite,[status(thm)],[])).
% 8.41/6.38 tff(22430,plain,
% 8.41/6.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB175, constB176)) | ((~v102(constB176)) <=> v104(constB176)))),
% 8.41/6.38 inference(quant_inst,[status(thm)],[])).
% 8.41/6.38 tff(22431,plain,
% 8.41/6.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB175, constB176)) | ((~v102(constB176)) <=> v104(constB176))),
% 8.41/6.38 inference(modus_ponens,[status(thm)],[22430, 22429])).
% 8.41/6.38 tff(22432,plain,
% 8.41/6.38 ((~v102(constB176)) <=> v104(constB176)),
% 8.41/6.38 inference(unit_resolution,[status(thm)],[22431, 15616, 3244])).
% 8.41/6.38 tff(22433,plain,
% 8.41/6.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB175, constB176)) | (v104(constB176) <=> v1(constB175)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB175, constB176)) | (v104(constB176) <=> v1(constB175)))),
% 8.41/6.38 inference(rewrite,[status(thm)],[])).
% 8.41/6.38 tff(22434,plain,
% 8.41/6.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB175, constB176)) | (v104(constB176) <=> v1(constB175)))),
% 8.41/6.38 inference(quant_inst,[status(thm)],[])).
% 8.41/6.38 tff(22435,plain,
% 8.41/6.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB175, constB176)) | (v104(constB176) <=> v1(constB175))),
% 8.41/6.38 inference(modus_ponens,[status(thm)],[22434, 22433])).
% 8.41/6.38 tff(22436,plain,
% 8.41/6.38 (v104(constB176) <=> v1(constB175)),
% 8.41/6.38 inference(unit_resolution,[status(thm)],[22435, 15616, 3258])).
% 8.41/6.38 tff(22437,plain,
% 8.41/6.38 ((~(v104(constB176) <=> v1(constB175))) | (~v104(constB176)) | v1(constB175)),
% 8.41/6.38 inference(tautology,[status(thm)],[])).
% 8.41/6.38 tff(22438,plain,
% 8.41/6.38 ((~(v104(constB176) <=> v1(constB175))) | (~v104(constB176))),
% 8.41/6.38 inference(unit_resolution,[status(thm)],[22437, 15655])).
% 8.41/6.38 tff(22439,plain,
% 8.41/6.38 (~v104(constB176)),
% 8.41/6.38 inference(unit_resolution,[status(thm)],[22438, 22436])).
% 8.41/6.38 tff(22440,plain,
% 8.41/6.38 ((~((~v102(constB176)) <=> v104(constB176))) | v102(constB176) | v104(constB176)),
% 8.41/6.38 inference(tautology,[status(thm)],[])).
% 8.41/6.38 tff(22441,plain,
% 8.41/6.38 (v102(constB176)),
% 8.41/6.38 inference(unit_resolution,[status(thm)],[22440, 22439, 22432])).
% 8.41/6.38 tff(22442,plain,
% 8.41/6.38 (v1(constB176) <=> v1(constB176)),
% 8.41/6.38 inference(rewrite,[status(thm)],[])).
% 8.41/6.38 tff(22443,axiom,(v1(constB176)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_176')).
% 8.41/6.38 tff(22444,plain,
% 8.41/6.38 (v1(constB176)),
% 8.41/6.38 inference(modus_ponens,[status(thm)],[22443, 22442])).
% 8.41/6.38 tff(22445,plain,
% 8.41/6.38 ((~((~v1(constB176)) | (~v102(constB176)))) | (~v1(constB176)) | (~v102(constB176))),
% 8.41/6.38 inference(tautology,[status(thm)],[])).
% 8.41/6.38 tff(22446,plain,
% 8.41/6.38 ((~((~v1(constB176)) | (~v102(constB176)))) | (~v102(constB176))),
% 8.41/6.38 inference(unit_resolution,[status(thm)],[22445, 22444])).
% 8.41/6.38 tff(22447,plain,
% 8.41/6.38 (~((~v1(constB176)) | (~v102(constB176)))),
% 8.41/6.38 inference(unit_resolution,[status(thm)],[22446, 22441])).
% 8.41/6.38 tff(22448,plain,
% 8.41/6.38 ((~(v101(constB176) <=> (~((~v1(constB176)) | (~v102(constB176)))))) | v101(constB176) | ((~v1(constB176)) | (~v102(constB176)))),
% 8.41/6.38 inference(tautology,[status(thm)],[])).
% 8.41/6.38 tff(22449,plain,
% 8.41/6.38 (v101(constB176)),
% 8.41/6.38 inference(unit_resolution,[status(thm)],[22448, 22447, 22428])).
% 8.41/6.38 tff(22450,plain,
% 8.41/6.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB175, constB176)) | (v110(constB176) <=> v108(constB175)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB175, constB176)) | (v110(constB176) <=> v108(constB175)))),
% 8.41/6.38 inference(rewrite,[status(thm)],[])).
% 8.41/6.38 tff(22451,plain,
% 8.41/6.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB175, constB176)) | (v110(constB176) <=> v108(constB175)))),
% 8.41/6.38 inference(quant_inst,[status(thm)],[])).
% 8.41/6.38 tff(22452,plain,
% 8.41/6.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB175, constB176)) | (v110(constB176) <=> v108(constB175))),
% 8.41/6.38 inference(modus_ponens,[status(thm)],[22451, 22450])).
% 8.41/6.38 tff(22453,plain,
% 8.41/6.38 (v110(constB176) <=> v108(constB175)),
% 8.41/6.38 inference(unit_resolution,[status(thm)],[22452, 15616, 3285])).
% 8.41/6.38 tff(22454,plain,
% 8.41/6.38 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB175) <=> (v111(constB175) | v112(constB175)))),
% 8.41/6.38 inference(quant_inst,[status(thm)],[])).
% 8.41/6.38 tff(22455,plain,
% 8.41/6.38 (v108(constB175) <=> (v111(constB175) | v112(constB175))),
% 8.41/6.38 inference(unit_resolution,[status(thm)],[22454, 3296])).
% 8.41/6.38 tff(22456,plain,
% 8.41/6.38 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB175) <=> (~((~v113(constB175)) | (~v126(constB175)))))),
% 8.41/6.38 inference(quant_inst,[status(thm)],[])).
% 8.41/6.38 tff(22457,plain,
% 8.41/6.38 (v112(constB175) <=> (~((~v113(constB175)) | (~v126(constB175))))),
% 8.41/6.38 inference(unit_resolution,[status(thm)],[22456, 3308])).
% 8.41/6.38 tff(22458,plain,
% 8.41/6.38 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB175) <=> (v114(constB175) | v125(constB175)))),
% 8.41/6.38 inference(quant_inst,[status(thm)],[])).
% 8.41/6.38 tff(22459,plain,
% 8.41/6.38 (v113(constB175) <=> (v114(constB175) | v125(constB175))),
% 8.41/6.38 inference(unit_resolution,[status(thm)],[22458, 3317])).
% 8.41/6.38 tff(22460,plain,
% 8.41/6.38 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB175) <=> (~(v90(constB175, bitIndex0) | (~v90(constB175, bitIndex1)) | (~v90(constB175, bitIndex2)))))),
% 8.41/6.38 inference(quant_inst,[status(thm)],[])).
% 8.41/6.38 tff(22461,plain,
% 8.41/6.38 (v125(constB175) <=> (~(v90(constB175, bitIndex0) | (~v90(constB175, bitIndex1)) | (~v90(constB175, bitIndex2))))),
% 8.41/6.38 inference(unit_resolution,[status(thm)],[22460, 3766])).
% 8.41/6.38 tff(22462,plain,
% 8.41/6.38 ((~(v90(constB175, bitIndex0) | (~v90(constB175, bitIndex1)) | (~v90(constB175, bitIndex2)))) | v90(constB175, bitIndex0) | (~v90(constB175, bitIndex1)) | (~v90(constB175, bitIndex2))),
% 8.41/6.38 inference(tautology,[status(thm)],[])).
% 8.41/6.38 tff(22463,plain,
% 8.41/6.38 (~(v90(constB175, bitIndex0) | (~v90(constB175, bitIndex1)) | (~v90(constB175, bitIndex2)))),
% 8.41/6.38 inference(unit_resolution,[status(thm)],[22462, 22350, 22310, 22390])).
% 8.41/6.38 tff(22464,plain,
% 8.41/6.38 ((~(v125(constB175) <=> (~(v90(constB175, bitIndex0) | (~v90(constB175, bitIndex1)) | (~v90(constB175, bitIndex2)))))) | v125(constB175) | (v90(constB175, bitIndex0) | (~v90(constB175, bitIndex1)) | (~v90(constB175, bitIndex2)))),
% 8.41/6.38 inference(tautology,[status(thm)],[])).
% 8.41/6.38 tff(22465,plain,
% 8.41/6.38 (v125(constB175)),
% 8.41/6.38 inference(unit_resolution,[status(thm)],[22464, 22463, 22461])).
% 8.41/6.38 tff(22466,plain,
% 8.41/6.38 ((v114(constB175) | v125(constB175)) | (~v125(constB175))),
% 8.41/6.38 inference(tautology,[status(thm)],[])).
% 8.41/6.38 tff(22467,plain,
% 8.41/6.38 (v114(constB175) | v125(constB175)),
% 8.41/6.38 inference(unit_resolution,[status(thm)],[22466, 22465])).
% 8.41/6.38 tff(22468,plain,
% 8.41/6.38 ((~(v113(constB175) <=> (v114(constB175) | v125(constB175)))) | v113(constB175) | (~(v114(constB175) | v125(constB175)))),
% 8.41/6.38 inference(tautology,[status(thm)],[])).
% 8.41/6.38 tff(22469,plain,
% 8.41/6.38 (v113(constB175)),
% 8.41/6.38 inference(unit_resolution,[status(thm)],[22468, 22467, 22459])).
% 8.41/6.38 tff(22470,plain,
% 8.41/6.38 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB175)) <=> v111(constB175))),
% 8.41/6.38 inference(quant_inst,[status(thm)],[])).
% 8.41/6.38 tff(22471,plain,
% 8.41/6.38 ((~v126(constB175)) <=> v111(constB175)),
% 8.41/6.38 inference(unit_resolution,[status(thm)],[22470, 3396])).
% 8.41/6.38 tff(22472,plain,
% 8.41/6.38 ((~((~v126(constB175)) <=> v111(constB175))) | v126(constB175) | v111(constB175)),
% 8.41/6.38 inference(tautology,[status(thm)],[])).
% 8.41/6.38 tff(22473,plain,
% 8.41/6.38 ((~((~v126(constB175)) <=> v111(constB175))) | v126(constB175)),
% 8.41/6.38 inference(unit_resolution,[status(thm)],[22472, 15629])).
% 8.41/6.38 tff(22474,plain,
% 8.41/6.38 (v126(constB175)),
% 8.41/6.38 inference(unit_resolution,[status(thm)],[22473, 22471])).
% 8.41/6.38 tff(22475,plain,
% 8.41/6.38 ((~((~v113(constB175)) | (~v126(constB175)))) | (~v113(constB175)) | (~v126(constB175))),
% 8.41/6.38 inference(tautology,[status(thm)],[])).
% 8.41/6.38 tff(22476,plain,
% 8.41/6.38 ((~((~v113(constB175)) | (~v126(constB175)))) | (~v113(constB175))),
% 8.41/6.38 inference(unit_resolution,[status(thm)],[22475, 22474])).
% 8.41/6.38 tff(22477,plain,
% 8.41/6.38 (~((~v113(constB175)) | (~v126(constB175)))),
% 8.41/6.38 inference(unit_resolution,[status(thm)],[22476, 22469])).
% 8.41/6.38 tff(22478,plain,
% 8.41/6.38 ((~(v112(constB175) <=> (~((~v113(constB175)) | (~v126(constB175)))))) | v112(constB175) | ((~v113(constB175)) | (~v126(constB175)))),
% 8.41/6.38 inference(tautology,[status(thm)],[])).
% 8.41/6.38 tff(22479,plain,
% 8.41/6.38 (v112(constB175)),
% 8.41/6.38 inference(unit_resolution,[status(thm)],[22478, 22477, 22457])).
% 8.41/6.38 tff(22480,plain,
% 8.41/6.38 ((v111(constB175) | v112(constB175)) | (~v112(constB175))),
% 8.41/6.38 inference(tautology,[status(thm)],[])).
% 8.41/6.38 tff(22481,plain,
% 8.41/6.38 (v111(constB175) | v112(constB175)),
% 8.41/6.38 inference(unit_resolution,[status(thm)],[22480, 22479])).
% 8.41/6.38 tff(22482,plain,
% 8.41/6.38 ((~(v108(constB175) <=> (v111(constB175) | v112(constB175)))) | v108(constB175) | (~(v111(constB175) | v112(constB175)))),
% 8.41/6.38 inference(tautology,[status(thm)],[])).
% 8.41/6.38 tff(22483,plain,
% 8.41/6.38 (v108(constB175)),
% 8.41/6.38 inference(unit_resolution,[status(thm)],[22482, 22481, 22455])).
% 8.41/6.38 tff(22484,plain,
% 8.41/6.38 ((~(v110(constB176) <=> v108(constB175))) | v110(constB176) | (~v108(constB175))),
% 8.41/6.38 inference(tautology,[status(thm)],[])).
% 8.41/6.38 tff(22485,plain,
% 8.41/6.38 (v110(constB176)),
% 8.41/6.38 inference(unit_resolution,[status(thm)],[22484, 22483, 22453])).
% 8.41/6.38 tff(22486,plain,
% 8.41/6.38 ((~((~v101(constB176)) | (~v110(constB176)))) | (~v101(constB176)) | (~v110(constB176))),
% 8.41/6.38 inference(tautology,[status(thm)],[])).
% 8.41/6.38 tff(22487,plain,
% 8.41/6.38 (~((~v101(constB176)) | (~v110(constB176)))),
% 8.41/6.38 inference(unit_resolution,[status(thm)],[22486, 22485, 22449])).
% 8.41/6.38 tff(22488,plain,
% 8.41/6.38 ((~(v100(constB176) <=> (~((~v101(constB176)) | (~v110(constB176)))))) | v100(constB176) | ((~v101(constB176)) | (~v110(constB176)))),
% 8.41/6.38 inference(tautology,[status(thm)],[])).
% 8.41/6.38 tff(22489,plain,
% 8.41/6.38 (v100(constB176)),
% 8.41/6.38 inference(unit_resolution,[status(thm)],[22488, 22487, 22421])).
% 8.41/6.38 tff(22490,plain,
% 8.41/6.38 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB176)) | (~(((~v90(constB176, bitIndex2)) <=> v129(constB176, bitIndex2)) | ((~v90(constB176, bitIndex1)) <=> v129(constB176, bitIndex1)) | ((~v90(constB176, bitIndex0)) <=> v129(constB176, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB176)) | (~(((~v90(constB176, bitIndex2)) <=> v129(constB176, bitIndex2)) | ((~v90(constB176, bitIndex1)) <=> v129(constB176, bitIndex1)) | ((~v90(constB176, bitIndex0)) <=> v129(constB176, bitIndex0)))))),
% 8.41/6.38 inference(rewrite,[status(thm)],[])).
% 8.41/6.38 tff(22491,plain,
% 8.41/6.38 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB176)) | (~(((~v90(constB176, bitIndex2)) <=> v129(constB176, bitIndex2)) | ((~v90(constB176, bitIndex1)) <=> v129(constB176, bitIndex1)) | ((~v90(constB176, bitIndex0)) <=> v129(constB176, bitIndex0)))))),
% 8.41/6.38 inference(quant_inst,[status(thm)],[])).
% 8.41/6.38 tff(22492,plain,
% 8.41/6.38 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB176)) | (~(((~v90(constB176, bitIndex2)) <=> v129(constB176, bitIndex2)) | ((~v90(constB176, bitIndex1)) <=> v129(constB176, bitIndex1)) | ((~v90(constB176, bitIndex0)) <=> v129(constB176, bitIndex0))))),
% 8.41/6.38 inference(modus_ponens,[status(thm)],[22491, 22490])).
% 8.41/6.38 tff(22493,plain,
% 8.41/6.38 ((~v100(constB176)) | (~(((~v90(constB176, bitIndex2)) <=> v129(constB176, bitIndex2)) | ((~v90(constB176, bitIndex1)) <=> v129(constB176, bitIndex1)) | ((~v90(constB176, bitIndex0)) <=> v129(constB176, bitIndex0))))),
% 8.41/6.38 inference(unit_resolution,[status(thm)],[22492, 3429])).
% 8.41/6.38 tff(22494,plain,
% 8.41/6.38 (~(((~v90(constB176, bitIndex2)) <=> v129(constB176, bitIndex2)) | ((~v90(constB176, bitIndex1)) <=> v129(constB176, bitIndex1)) | ((~v90(constB176, bitIndex0)) <=> v129(constB176, bitIndex0)))),
% 8.41/6.38 inference(unit_resolution,[status(thm)],[22493, 22489])).
% 8.41/6.38 tff(22495,plain,
% 8.41/6.38 ((((~v90(constB176, bitIndex2)) <=> v129(constB176, bitIndex2)) | ((~v90(constB176, bitIndex1)) <=> v129(constB176, bitIndex1)) | ((~v90(constB176, bitIndex0)) <=> v129(constB176, bitIndex0))) | (~((~v90(constB176, bitIndex2)) <=> v129(constB176, bitIndex2)))),
% 8.41/6.38 inference(tautology,[status(thm)],[])).
% 8.41/6.38 tff(22496,plain,
% 8.41/6.38 (~((~v90(constB176, bitIndex2)) <=> v129(constB176, bitIndex2))),
% 8.41/6.38 inference(unit_resolution,[status(thm)],[22495, 22494])).
% 8.41/6.38 tff(22497,plain,
% 8.41/6.38 (((~v90(constB176, bitIndex2)) <=> v129(constB176, bitIndex2)) | (~v90(constB176, bitIndex2)) | v129(constB176, bitIndex2)),
% 8.41/6.38 inference(tautology,[status(thm)],[])).
% 8.41/6.38 tff(22498,plain,
% 8.41/6.38 (~v90(constB176, bitIndex2)),
% 8.41/6.38 inference(unit_resolution,[status(thm)],[22497, 22496, 22417])).
% 8.41/6.38 tff(22499,plain,
% 8.41/6.38 (((~v90(constB177, bitIndex2)) <=> v90(constB176, bitIndex2)) | (~v90(constB177, bitIndex2)) | v90(constB176, bitIndex2)),
% 8.41/6.38 inference(tautology,[status(thm)],[])).
% 8.41/6.38 tff(22500,plain,
% 8.41/6.38 (~v90(constB177, bitIndex2)),
% 8.41/6.38 inference(unit_resolution,[status(thm)],[22499, 22498, 15613])).
% 8.41/6.38 tff(22501,plain,
% 8.41/6.38 ((((~v90(constB177, bitIndex1)) <=> v90(constB176, bitIndex1)) | ((~v90(constB177, bitIndex2)) <=> v90(constB176, bitIndex2)) | ((~v90(constB177, bitIndex0)) <=> v90(constB176, bitIndex0))) | (~((~v90(constB177, bitIndex0)) <=> v90(constB176, bitIndex0)))),
% 8.41/6.38 inference(tautology,[status(thm)],[])).
% 8.41/6.38 tff(22502,plain,
% 8.41/6.38 (~((~v90(constB177, bitIndex0)) <=> v90(constB176, bitIndex0))),
% 8.41/6.38 inference(unit_resolution,[status(thm)],[22501, 15611])).
% 8.41/6.38 tff(22503,plain,
% 8.41/6.38 ((((~v129(constB176, bitIndex2)) <=> v127(constB175, bitIndex2)) | ((~v129(constB176, bitIndex1)) <=> v127(constB175, bitIndex1)) | ((~v129(constB176, bitIndex0)) <=> v127(constB175, bitIndex0))) | (~((~v129(constB176, bitIndex0)) <=> v127(constB175, bitIndex0)))),
% 8.41/6.38 inference(tautology,[status(thm)],[])).
% 8.41/6.38 tff(22504,plain,
% 8.41/6.38 (~((~v129(constB176, bitIndex0)) <=> v127(constB175, bitIndex0))),
% 8.41/6.38 inference(unit_resolution,[status(thm)],[22503, 15620])).
% 8.41/6.38 tff(22505,plain,
% 8.41/6.38 ((((~v127(constB175, bitIndex2)) <=> v130(constB175, bitIndex2)) | ((~v127(constB175, bitIndex1)) <=> v130(constB175, bitIndex1)) | ((~v127(constB175, bitIndex0)) <=> v130(constB175, bitIndex0))) | (~((~v127(constB175, bitIndex0)) <=> v130(constB175, bitIndex0)))),
% 8.41/6.38 inference(tautology,[status(thm)],[])).
% 8.41/6.38 tff(22506,plain,
% 8.41/6.38 (~((~v127(constB175, bitIndex0)) <=> v130(constB175, bitIndex0))),
% 8.41/6.38 inference(unit_resolution,[status(thm)],[22505, 15634])).
% 8.41/6.38 tff(22507,plain,
% 8.41/6.38 ((v130(constB175, bitIndex2) | v130(constB175, bitIndex1) | (~v130(constB175, bitIndex0))) | v130(constB175, bitIndex0)),
% 8.41/6.38 inference(tautology,[status(thm)],[])).
% 8.41/6.38 tff(22508,plain,
% 8.41/6.38 (v130(constB175, bitIndex0)),
% 8.41/6.38 inference(unit_resolution,[status(thm)],[22507, 22411])).
% 8.41/6.38 tff(22509,plain,
% 8.41/6.38 (((~v127(constB175, bitIndex0)) <=> v130(constB175, bitIndex0)) | v127(constB175, bitIndex0) | (~v130(constB175, bitIndex0))),
% 8.41/6.38 inference(tautology,[status(thm)],[])).
% 8.41/6.38 tff(22510,plain,
% 8.41/6.38 (v127(constB175, bitIndex0)),
% 8.41/6.38 inference(unit_resolution,[status(thm)],[22509, 22508, 22506])).
% 8.41/6.38 tff(22511,plain,
% 8.41/6.38 (((~v129(constB176, bitIndex0)) <=> v127(constB175, bitIndex0)) | v129(constB176, bitIndex0) | (~v127(constB175, bitIndex0))),
% 8.41/6.38 inference(tautology,[status(thm)],[])).
% 8.41/6.38 tff(22512,plain,
% 8.41/6.38 (v129(constB176, bitIndex0)),
% 8.41/6.38 inference(unit_resolution,[status(thm)],[22511, 22510, 22504])).
% 8.41/6.38 tff(22513,plain,
% 8.41/6.38 ((((~v90(constB176, bitIndex2)) <=> v129(constB176, bitIndex2)) | ((~v90(constB176, bitIndex1)) <=> v129(constB176, bitIndex1)) | ((~v90(constB176, bitIndex0)) <=> v129(constB176, bitIndex0))) | (~((~v90(constB176, bitIndex0)) <=> v129(constB176, bitIndex0)))),
% 8.41/6.38 inference(tautology,[status(thm)],[])).
% 8.41/6.38 tff(22514,plain,
% 8.41/6.38 (~((~v90(constB176, bitIndex0)) <=> v129(constB176, bitIndex0))),
% 8.41/6.38 inference(unit_resolution,[status(thm)],[22513, 22494])).
% 8.41/6.38 tff(22515,plain,
% 8.41/6.38 (((~v90(constB176, bitIndex0)) <=> v129(constB176, bitIndex0)) | v90(constB176, bitIndex0) | (~v129(constB176, bitIndex0))),
% 8.41/6.38 inference(tautology,[status(thm)],[])).
% 8.41/6.38 tff(22516,plain,
% 8.41/6.38 (v90(constB176, bitIndex0)),
% 8.41/6.38 inference(unit_resolution,[status(thm)],[22515, 22514, 22512])).
% 8.41/6.38 tff(22517,plain,
% 8.41/6.38 (((~v90(constB177, bitIndex0)) <=> v90(constB176, bitIndex0)) | v90(constB177, bitIndex0) | (~v90(constB176, bitIndex0))),
% 8.41/6.38 inference(tautology,[status(thm)],[])).
% 8.41/6.38 tff(22518,plain,
% 8.41/6.38 (v90(constB177, bitIndex0)),
% 8.41/6.38 inference(unit_resolution,[status(thm)],[22517, 22516, 22502])).
% 8.41/6.38 tff(22519,plain,
% 8.41/6.38 ((((~v90(constB177, bitIndex1)) <=> v90(constB176, bitIndex1)) | ((~v90(constB177, bitIndex2)) <=> v90(constB176, bitIndex2)) | ((~v90(constB177, bitIndex0)) <=> v90(constB176, bitIndex0))) | (~((~v90(constB177, bitIndex1)) <=> v90(constB176, bitIndex1)))),
% 8.41/6.38 inference(tautology,[status(thm)],[])).
% 8.41/6.38 tff(22520,plain,
% 8.41/6.38 (~((~v90(constB177, bitIndex1)) <=> v90(constB176, bitIndex1))),
% 8.41/6.38 inference(unit_resolution,[status(thm)],[22519, 15611])).
% 8.41/6.38 tff(22521,plain,
% 8.41/6.38 ((((~v129(constB176, bitIndex2)) <=> v127(constB175, bitIndex2)) | ((~v129(constB176, bitIndex1)) <=> v127(constB175, bitIndex1)) | ((~v129(constB176, bitIndex0)) <=> v127(constB175, bitIndex0))) | (~((~v129(constB176, bitIndex1)) <=> v127(constB175, bitIndex1)))),
% 8.41/6.38 inference(tautology,[status(thm)],[])).
% 8.41/6.38 tff(22522,plain,
% 8.41/6.38 (~((~v129(constB176, bitIndex1)) <=> v127(constB175, bitIndex1))),
% 8.41/6.38 inference(unit_resolution,[status(thm)],[22521, 15620])).
% 8.41/6.38 tff(22523,plain,
% 8.41/6.38 ((((~v127(constB175, bitIndex2)) <=> v130(constB175, bitIndex2)) | ((~v127(constB175, bitIndex1)) <=> v130(constB175, bitIndex1)) | ((~v127(constB175, bitIndex0)) <=> v130(constB175, bitIndex0))) | (~((~v127(constB175, bitIndex1)) <=> v130(constB175, bitIndex1)))),
% 8.41/6.38 inference(tautology,[status(thm)],[])).
% 8.41/6.38 tff(22524,plain,
% 8.41/6.38 (~((~v127(constB175, bitIndex1)) <=> v130(constB175, bitIndex1))),
% 8.41/6.38 inference(unit_resolution,[status(thm)],[22523, 15634])).
% 8.41/6.38 tff(22525,plain,
% 8.41/6.38 ((v130(constB175, bitIndex2) | v130(constB175, bitIndex1) | (~v130(constB175, bitIndex0))) | (~v130(constB175, bitIndex1))),
% 8.41/6.38 inference(tautology,[status(thm)],[])).
% 8.41/6.38 tff(22526,plain,
% 8.41/6.38 (~v130(constB175, bitIndex1)),
% 8.41/6.38 inference(unit_resolution,[status(thm)],[22525, 22411])).
% 8.41/6.38 tff(22527,plain,
% 8.41/6.38 (((~v127(constB175, bitIndex1)) <=> v130(constB175, bitIndex1)) | (~v127(constB175, bitIndex1)) | v130(constB175, bitIndex1)),
% 8.41/6.38 inference(tautology,[status(thm)],[])).
% 8.41/6.38 tff(22528,plain,
% 8.41/6.38 (~v127(constB175, bitIndex1)),
% 8.41/6.38 inference(unit_resolution,[status(thm)],[22527, 22526, 22524])).
% 8.41/6.38 tff(22529,plain,
% 8.41/6.38 (((~v129(constB176, bitIndex1)) <=> v127(constB175, bitIndex1)) | (~v129(constB176, bitIndex1)) | v127(constB175, bitIndex1)),
% 8.41/6.38 inference(tautology,[status(thm)],[])).
% 8.41/6.38 tff(22530,plain,
% 8.41/6.38 (~v129(constB176, bitIndex1)),
% 8.41/6.38 inference(unit_resolution,[status(thm)],[22529, 22528, 22522])).
% 8.41/6.38 tff(22531,plain,
% 8.41/6.38 ((((~v90(constB176, bitIndex2)) <=> v129(constB176, bitIndex2)) | ((~v90(constB176, bitIndex1)) <=> v129(constB176, bitIndex1)) | ((~v90(constB176, bitIndex0)) <=> v129(constB176, bitIndex0))) | (~((~v90(constB176, bitIndex1)) <=> v129(constB176, bitIndex1)))),
% 8.41/6.38 inference(tautology,[status(thm)],[])).
% 8.41/6.38 tff(22532,plain,
% 8.41/6.38 (~((~v90(constB176, bitIndex1)) <=> v129(constB176, bitIndex1))),
% 8.41/6.38 inference(unit_resolution,[status(thm)],[22531, 22494])).
% 8.41/6.38 tff(22533,plain,
% 8.41/6.38 (((~v90(constB176, bitIndex1)) <=> v129(constB176, bitIndex1)) | (~v90(constB176, bitIndex1)) | v129(constB176, bitIndex1)),
% 8.41/6.38 inference(tautology,[status(thm)],[])).
% 8.41/6.38 tff(22534,plain,
% 8.41/6.38 (~v90(constB176, bitIndex1)),
% 8.41/6.38 inference(unit_resolution,[status(thm)],[22533, 22532, 22530])).
% 8.41/6.38 tff(22535,plain,
% 8.41/6.38 (((~v90(constB177, bitIndex1)) <=> v90(constB176, bitIndex1)) | (~v90(constB177, bitIndex1)) | v90(constB176, bitIndex1)),
% 8.41/6.38 inference(tautology,[status(thm)],[])).
% 8.41/6.38 tff(22536,plain,
% 8.41/6.38 (~v90(constB177, bitIndex1)),
% 8.41/6.38 inference(unit_resolution,[status(thm)],[22535, 22534, 22520])).
% 8.41/6.38 tff(22537,plain,
% 8.41/6.38 ((~(v90(constB177, bitIndex1) | v90(constB177, bitIndex2) | (~v90(constB177, bitIndex0)))) | v90(constB177, bitIndex1) | v90(constB177, bitIndex2) | (~v90(constB177, bitIndex0))),
% 8.41/6.38 inference(tautology,[status(thm)],[])).
% 8.41/6.38 tff(22538,plain,
% 8.41/6.38 (~(v90(constB177, bitIndex1) | v90(constB177, bitIndex2) | (~v90(constB177, bitIndex0)))),
% 8.41/6.38 inference(unit_resolution,[status(thm)],[22537, 22536, 22518, 22500])).
% 8.41/6.38 tff(22539,plain,
% 8.41/6.38 ((~(v120(constB177) <=> (~(v90(constB177, bitIndex1) | v90(constB177, bitIndex2) | (~v90(constB177, bitIndex0)))))) | v120(constB177) | (v90(constB177, bitIndex1) | v90(constB177, bitIndex2) | (~v90(constB177, bitIndex0)))),
% 8.41/6.38 inference(tautology,[status(thm)],[])).
% 8.41/6.38 tff(22540,plain,
% 8.41/6.38 (v120(constB177)),
% 8.41/6.38 inference(unit_resolution,[status(thm)],[22539, 22538, 15577])).
% 8.41/6.38 tff(22541,plain,
% 8.41/6.38 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB177)) | (~(v130(constB177, bitIndex2) | v130(constB177, bitIndex0) | (~v130(constB177, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB177)) | (~(v130(constB177, bitIndex2) | v130(constB177, bitIndex0) | (~v130(constB177, bitIndex1)))))),
% 8.41/6.38 inference(rewrite,[status(thm)],[])).
% 8.41/6.38 tff(22542,plain,
% 8.41/6.38 (((~v120(constB177)) | (~(v130(constB177, bitIndex0) | v130(constB177, bitIndex2) | (~v130(constB177, bitIndex1))))) <=> ((~v120(constB177)) | (~(v130(constB177, bitIndex2) | v130(constB177, bitIndex0) | (~v130(constB177, bitIndex1)))))),
% 8.41/6.38 inference(rewrite,[status(thm)],[])).
% 8.41/6.38 tff(22543,plain,
% 8.41/6.38 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB177)) | (~(v130(constB177, bitIndex0) | v130(constB177, bitIndex2) | (~v130(constB177, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB177)) | (~(v130(constB177, bitIndex2) | v130(constB177, bitIndex0) | (~v130(constB177, bitIndex1))))))),
% 8.41/6.38 inference(monotonicity,[status(thm)],[22542])).
% 8.41/6.38 tff(22544,plain,
% 8.41/6.38 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB177)) | (~(v130(constB177, bitIndex0) | v130(constB177, bitIndex2) | (~v130(constB177, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB177)) | (~(v130(constB177, bitIndex2) | v130(constB177, bitIndex0) | (~v130(constB177, bitIndex1)))))),
% 8.41/6.38 inference(transitivity,[status(thm)],[22543, 22541])).
% 8.41/6.38 tff(22545,plain,
% 8.41/6.38 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB177)) | (~(v130(constB177, bitIndex0) | v130(constB177, bitIndex2) | (~v130(constB177, bitIndex1)))))),
% 8.41/6.38 inference(quant_inst,[status(thm)],[])).
% 8.41/6.38 tff(22546,plain,
% 8.41/6.38 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB177)) | (~(v130(constB177, bitIndex2) | v130(constB177, bitIndex0) | (~v130(constB177, bitIndex1))))),
% 8.41/6.38 inference(modus_ponens,[status(thm)],[22545, 22544])).
% 8.41/6.38 tff(22547,plain,
% 8.41/6.38 ((~v120(constB177)) | (~(v130(constB177, bitIndex2) | v130(constB177, bitIndex0) | (~v130(constB177, bitIndex1))))),
% 8.41/6.38 inference(unit_resolution,[status(thm)],[22546, 3881])).
% 8.41/6.38 tff(22548,plain,
% 8.41/6.38 (~(v130(constB177, bitIndex2) | v130(constB177, bitIndex0) | (~v130(constB177, bitIndex1)))),
% 8.41/6.38 inference(unit_resolution,[status(thm)],[22547, 22540])).
% 8.41/6.38 tff(22549,plain,
% 8.41/6.38 ((v130(constB177, bitIndex2) | v130(constB177, bitIndex0) | (~v130(constB177, bitIndex1))) | (~v130(constB177, bitIndex2))),
% 8.41/6.38 inference(tautology,[status(thm)],[])).
% 8.41/6.38 tff(22550,plain,
% 8.41/6.38 (~v130(constB177, bitIndex2)),
% 8.41/6.38 inference(unit_resolution,[status(thm)],[22549, 22548])).
% 8.41/6.38 tff(22551,plain,
% 8.41/6.38 (((~v127(constB177, bitIndex2)) <=> v130(constB177, bitIndex2)) | (~v127(constB177, bitIndex2)) | v130(constB177, bitIndex2)),
% 8.41/6.38 inference(tautology,[status(thm)],[])).
% 8.41/6.38 tff(22552,plain,
% 8.41/6.38 (~v127(constB177, bitIndex2)),
% 8.41/6.38 inference(unit_resolution,[status(thm)],[22551, 22550, 15575])).
% 8.41/6.38 tff(22553,plain,
% 8.41/6.38 (((~v129(constB178, bitIndex2)) <=> v127(constB177, bitIndex2)) | (~v129(constB178, bitIndex2)) | v127(constB177, bitIndex2)),
% 8.41/6.38 inference(tautology,[status(thm)],[])).
% 8.41/6.38 tff(22554,plain,
% 8.41/6.38 (~v129(constB178, bitIndex2)),
% 8.41/6.38 inference(unit_resolution,[status(thm)],[22553, 22552, 15561])).
% 8.41/6.38 tff(22555,plain,
% 8.41/6.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB177, constB178)) | (v100(constB178) <=> (~((~v101(constB178)) | (~v110(constB178))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB177, constB178)) | (v100(constB178) <=> (~((~v101(constB178)) | (~v110(constB178))))))),
% 8.41/6.38 inference(rewrite,[status(thm)],[])).
% 8.41/6.38 tff(22556,plain,
% 8.41/6.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB177, constB178)) | (v100(constB178) <=> (~((~v101(constB178)) | (~v110(constB178))))))),
% 8.41/6.38 inference(quant_inst,[status(thm)],[])).
% 8.41/6.38 tff(22557,plain,
% 8.41/6.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB177, constB178)) | (v100(constB178) <=> (~((~v101(constB178)) | (~v110(constB178)))))),
% 8.41/6.38 inference(modus_ponens,[status(thm)],[22556, 22555])).
% 8.41/6.38 tff(22558,plain,
% 8.41/6.38 (v100(constB178) <=> (~((~v101(constB178)) | (~v110(constB178))))),
% 8.41/6.38 inference(unit_resolution,[status(thm)],[22557, 15555, 445])).
% 8.41/6.38 tff(22559,plain,
% 8.41/6.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB177, constB178)) | (v101(constB178) <=> (~((~v1(constB178)) | (~v102(constB178))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB177, constB178)) | (v101(constB178) <=> (~((~v1(constB178)) | (~v102(constB178))))))),
% 8.41/6.38 inference(rewrite,[status(thm)],[])).
% 8.41/6.38 tff(22560,plain,
% 8.41/6.38 (((~nextState(constB177, constB178)) | (v101(constB178) <=> (~((~v102(constB178)) | (~v1(constB178)))))) <=> ((~nextState(constB177, constB178)) | (v101(constB178) <=> (~((~v1(constB178)) | (~v102(constB178))))))),
% 8.41/6.38 inference(rewrite,[status(thm)],[])).
% 8.41/6.38 tff(22561,plain,
% 8.41/6.38 (((~![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) <=> (~((~v1(constB178)) | (~v102(constB178)))))))),
% 8.41/6.38 inference(monotonicity,[status(thm)],[22560])).
% 8.41/6.38 tff(22562,plain,
% 8.41/6.38 (((~![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) <=> (~((~v1(constB178)) | (~v102(constB178))))))),
% 8.41/6.38 inference(transitivity,[status(thm)],[22561, 22559])).
% 8.41/6.38 tff(22563,plain,
% 8.41/6.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB177, constB178)) | (v101(constB178) <=> (~((~v102(constB178)) | (~v1(constB178))))))),
% 8.41/6.38 inference(quant_inst,[status(thm)],[])).
% 8.41/6.38 tff(22564,plain,
% 8.41/6.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB177, constB178)) | (v101(constB178) <=> (~((~v1(constB178)) | (~v102(constB178)))))),
% 8.41/6.38 inference(modus_ponens,[status(thm)],[22563, 22562])).
% 8.41/6.38 tff(22565,plain,
% 8.41/6.38 (v101(constB178) <=> (~((~v1(constB178)) | (~v102(constB178))))),
% 8.41/6.38 inference(unit_resolution,[status(thm)],[22564, 15555, 465])).
% 8.41/6.38 tff(22566,plain,
% 8.41/6.38 (((~![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)))),
% 8.41/6.38 inference(rewrite,[status(thm)],[])).
% 8.41/6.38 tff(22567,plain,
% 8.41/6.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB177, constB178)) | ((~v102(constB178)) <=> v104(constB178)))),
% 8.41/6.38 inference(quant_inst,[status(thm)],[])).
% 8.41/6.38 tff(22568,plain,
% 8.41/6.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB177, constB178)) | ((~v102(constB178)) <=> v104(constB178))),
% 8.41/6.38 inference(modus_ponens,[status(thm)],[22567, 22566])).
% 8.41/6.38 tff(22569,plain,
% 8.41/6.38 ((~v102(constB178)) <=> v104(constB178)),
% 8.41/6.38 inference(unit_resolution,[status(thm)],[22568, 15555, 3244])).
% 8.41/6.38 tff(22570,plain,
% 8.41/6.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB177, constB178)) | (v104(constB178) <=> v1(constB177)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB177, constB178)) | (v104(constB178) <=> v1(constB177)))),
% 8.41/6.39 inference(rewrite,[status(thm)],[])).
% 8.41/6.39 tff(22571,plain,
% 8.41/6.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB177, constB178)) | (v104(constB178) <=> v1(constB177)))),
% 8.41/6.39 inference(quant_inst,[status(thm)],[])).
% 8.41/6.39 tff(22572,plain,
% 8.41/6.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB177, constB178)) | (v104(constB178) <=> v1(constB177))),
% 8.41/6.39 inference(modus_ponens,[status(thm)],[22571, 22570])).
% 8.41/6.39 tff(22573,plain,
% 8.41/6.39 (v104(constB178) <=> v1(constB177)),
% 8.41/6.39 inference(unit_resolution,[status(thm)],[22572, 15555, 3258])).
% 8.41/6.39 tff(22574,plain,
% 8.41/6.39 ((~(v104(constB178) <=> v1(constB177))) | (~v104(constB178)) | v1(constB177)),
% 8.41/6.39 inference(tautology,[status(thm)],[])).
% 8.41/6.39 tff(22575,plain,
% 8.41/6.39 ((~(v104(constB178) <=> v1(constB177))) | (~v104(constB178))),
% 8.41/6.39 inference(unit_resolution,[status(thm)],[22574, 15594])).
% 8.41/6.39 tff(22576,plain,
% 8.41/6.39 (~v104(constB178)),
% 8.41/6.39 inference(unit_resolution,[status(thm)],[22575, 22573])).
% 8.41/6.39 tff(22577,plain,
% 8.41/6.39 ((~((~v102(constB178)) <=> v104(constB178))) | v102(constB178) | v104(constB178)),
% 8.41/6.39 inference(tautology,[status(thm)],[])).
% 8.41/6.39 tff(22578,plain,
% 8.41/6.39 (v102(constB178)),
% 8.41/6.39 inference(unit_resolution,[status(thm)],[22577, 22576, 22569])).
% 8.41/6.39 tff(22579,plain,
% 8.41/6.39 (v1(constB178) <=> v1(constB178)),
% 8.41/6.39 inference(rewrite,[status(thm)],[])).
% 8.41/6.39 tff(22580,axiom,(v1(constB178)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_178')).
% 8.41/6.39 tff(22581,plain,
% 8.41/6.39 (v1(constB178)),
% 8.41/6.39 inference(modus_ponens,[status(thm)],[22580, 22579])).
% 8.41/6.39 tff(22582,plain,
% 8.41/6.39 ((~((~v1(constB178)) | (~v102(constB178)))) | (~v1(constB178)) | (~v102(constB178))),
% 8.41/6.39 inference(tautology,[status(thm)],[])).
% 8.41/6.39 tff(22583,plain,
% 8.41/6.39 ((~((~v1(constB178)) | (~v102(constB178)))) | (~v102(constB178))),
% 8.41/6.39 inference(unit_resolution,[status(thm)],[22582, 22581])).
% 8.41/6.39 tff(22584,plain,
% 8.41/6.39 (~((~v1(constB178)) | (~v102(constB178)))),
% 8.41/6.39 inference(unit_resolution,[status(thm)],[22583, 22578])).
% 8.41/6.39 tff(22585,plain,
% 8.41/6.39 ((~(v101(constB178) <=> (~((~v1(constB178)) | (~v102(constB178)))))) | v101(constB178) | ((~v1(constB178)) | (~v102(constB178)))),
% 8.41/6.39 inference(tautology,[status(thm)],[])).
% 8.41/6.39 tff(22586,plain,
% 8.41/6.39 (v101(constB178)),
% 8.41/6.39 inference(unit_resolution,[status(thm)],[22585, 22584, 22565])).
% 8.41/6.39 tff(22587,plain,
% 8.41/6.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB177, constB178)) | (v110(constB178) <=> v108(constB177)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB177, constB178)) | (v110(constB178) <=> v108(constB177)))),
% 8.41/6.39 inference(rewrite,[status(thm)],[])).
% 8.41/6.39 tff(22588,plain,
% 8.41/6.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB177, constB178)) | (v110(constB178) <=> v108(constB177)))),
% 8.41/6.39 inference(quant_inst,[status(thm)],[])).
% 8.41/6.39 tff(22589,plain,
% 8.41/6.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB177, constB178)) | (v110(constB178) <=> v108(constB177))),
% 8.41/6.39 inference(modus_ponens,[status(thm)],[22588, 22587])).
% 8.41/6.39 tff(22590,plain,
% 8.41/6.39 (v110(constB178) <=> v108(constB177)),
% 8.41/6.39 inference(unit_resolution,[status(thm)],[22589, 15555, 3285])).
% 8.41/6.39 tff(22591,plain,
% 8.41/6.39 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB177) <=> (v111(constB177) | v112(constB177)))),
% 8.41/6.39 inference(quant_inst,[status(thm)],[])).
% 8.41/6.39 tff(22592,plain,
% 8.41/6.39 (v108(constB177) <=> (v111(constB177) | v112(constB177))),
% 8.41/6.39 inference(unit_resolution,[status(thm)],[22591, 3296])).
% 8.41/6.39 tff(22593,plain,
% 8.41/6.39 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB177) <=> (~((~v113(constB177)) | (~v126(constB177)))))),
% 8.41/6.39 inference(quant_inst,[status(thm)],[])).
% 8.41/6.39 tff(22594,plain,
% 8.41/6.39 (v112(constB177) <=> (~((~v113(constB177)) | (~v126(constB177))))),
% 8.41/6.39 inference(unit_resolution,[status(thm)],[22593, 3308])).
% 8.41/6.39 tff(22595,plain,
% 8.41/6.39 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB177) <=> (v114(constB177) | v125(constB177)))),
% 8.41/6.39 inference(quant_inst,[status(thm)],[])).
% 8.41/6.39 tff(22596,plain,
% 8.41/6.39 (v113(constB177) <=> (v114(constB177) | v125(constB177))),
% 8.41/6.39 inference(unit_resolution,[status(thm)],[22595, 3317])).
% 8.41/6.39 tff(22597,plain,
% 8.41/6.39 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB177) <=> (v115(constB177) | v124(constB177)))),
% 8.41/6.39 inference(quant_inst,[status(thm)],[])).
% 8.41/6.39 tff(22598,plain,
% 8.41/6.39 (v114(constB177) <=> (v115(constB177) | v124(constB177))),
% 8.41/6.39 inference(unit_resolution,[status(thm)],[22597, 3326])).
% 8.41/6.39 tff(22599,plain,
% 8.41/6.39 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB177) <=> (v116(constB177) | v123(constB177)))),
% 8.41/6.39 inference(quant_inst,[status(thm)],[])).
% 8.41/6.39 tff(22600,plain,
% 8.41/6.39 (v115(constB177) <=> (v116(constB177) | v123(constB177))),
% 8.41/6.39 inference(unit_resolution,[status(thm)],[22599, 3335])).
% 8.41/6.39 tff(22601,plain,
% 8.41/6.39 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB177) <=> (v117(constB177) | v122(constB177)))),
% 8.41/6.39 inference(quant_inst,[status(thm)],[])).
% 8.41/6.39 tff(22602,plain,
% 8.41/6.39 (v116(constB177) <=> (v117(constB177) | v122(constB177))),
% 8.41/6.39 inference(unit_resolution,[status(thm)],[22601, 3344])).
% 8.41/6.39 tff(22603,plain,
% 8.41/6.39 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB177) <=> (v118(constB177) | v121(constB177)))),
% 8.41/6.39 inference(quant_inst,[status(thm)],[])).
% 8.41/6.39 tff(22604,plain,
% 8.41/6.39 (v117(constB177) <=> (v118(constB177) | v121(constB177))),
% 8.41/6.39 inference(unit_resolution,[status(thm)],[22603, 3353])).
% 8.41/6.39 tff(22605,plain,
% 8.41/6.39 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB177) <=> (v119(constB177) | v120(constB177)))),
% 8.41/6.39 inference(quant_inst,[status(thm)],[])).
% 8.41/6.39 tff(22606,plain,
% 8.41/6.39 (v118(constB177) <=> (v119(constB177) | v120(constB177))),
% 8.41/6.39 inference(unit_resolution,[status(thm)],[22605, 3362])).
% 8.41/6.39 tff(22607,plain,
% 8.41/6.39 ((v119(constB177) | v120(constB177)) | (~v120(constB177))),
% 8.41/6.39 inference(tautology,[status(thm)],[])).
% 8.41/6.39 tff(22608,plain,
% 8.41/6.39 (v119(constB177) | v120(constB177)),
% 8.41/6.39 inference(unit_resolution,[status(thm)],[22607, 22540])).
% 8.41/6.39 tff(22609,plain,
% 8.41/6.39 ((~(v118(constB177) <=> (v119(constB177) | v120(constB177)))) | v118(constB177) | (~(v119(constB177) | v120(constB177)))),
% 8.41/6.39 inference(tautology,[status(thm)],[])).
% 8.41/6.39 tff(22610,plain,
% 8.41/6.39 (v118(constB177)),
% 8.41/6.39 inference(unit_resolution,[status(thm)],[22609, 22608, 22606])).
% 8.41/6.39 tff(22611,plain,
% 8.41/6.39 ((v118(constB177) | v121(constB177)) | (~v118(constB177))),
% 8.41/6.39 inference(tautology,[status(thm)],[])).
% 8.41/6.39 tff(22612,plain,
% 8.41/6.39 (v118(constB177) | v121(constB177)),
% 8.41/6.39 inference(unit_resolution,[status(thm)],[22611, 22610])).
% 8.41/6.39 tff(22613,plain,
% 8.41/6.39 ((~(v117(constB177) <=> (v118(constB177) | v121(constB177)))) | v117(constB177) | (~(v118(constB177) | v121(constB177)))),
% 8.41/6.39 inference(tautology,[status(thm)],[])).
% 8.41/6.39 tff(22614,plain,
% 8.41/6.39 (v117(constB177)),
% 8.41/6.39 inference(unit_resolution,[status(thm)],[22613, 22612, 22604])).
% 8.41/6.39 tff(22615,plain,
% 8.41/6.39 ((v117(constB177) | v122(constB177)) | (~v117(constB177))),
% 8.41/6.39 inference(tautology,[status(thm)],[])).
% 8.41/6.39 tff(22616,plain,
% 8.41/6.39 (v117(constB177) | v122(constB177)),
% 8.41/6.39 inference(unit_resolution,[status(thm)],[22615, 22614])).
% 8.41/6.39 tff(22617,plain,
% 8.41/6.39 ((~(v116(constB177) <=> (v117(constB177) | v122(constB177)))) | v116(constB177) | (~(v117(constB177) | v122(constB177)))),
% 8.41/6.39 inference(tautology,[status(thm)],[])).
% 8.41/6.39 tff(22618,plain,
% 8.41/6.39 (v116(constB177)),
% 8.41/6.39 inference(unit_resolution,[status(thm)],[22617, 22616, 22602])).
% 8.41/6.39 tff(22619,plain,
% 8.41/6.39 ((v116(constB177) | v123(constB177)) | (~v116(constB177))),
% 8.41/6.39 inference(tautology,[status(thm)],[])).
% 8.41/6.39 tff(22620,plain,
% 8.41/6.39 (v116(constB177) | v123(constB177)),
% 8.41/6.39 inference(unit_resolution,[status(thm)],[22619, 22618])).
% 8.41/6.39 tff(22621,plain,
% 8.41/6.39 ((~(v115(constB177) <=> (v116(constB177) | v123(constB177)))) | v115(constB177) | (~(v116(constB177) | v123(constB177)))),
% 8.41/6.39 inference(tautology,[status(thm)],[])).
% 8.41/6.39 tff(22622,plain,
% 8.41/6.39 (v115(constB177)),
% 8.41/6.39 inference(unit_resolution,[status(thm)],[22621, 22620, 22600])).
% 8.41/6.39 tff(22623,plain,
% 8.41/6.39 ((v115(constB177) | v124(constB177)) | (~v115(constB177))),
% 8.41/6.39 inference(tautology,[status(thm)],[])).
% 8.41/6.39 tff(22624,plain,
% 8.41/6.39 (v115(constB177) | v124(constB177)),
% 8.41/6.39 inference(unit_resolution,[status(thm)],[22623, 22622])).
% 8.41/6.39 tff(22625,plain,
% 8.41/6.39 ((~(v114(constB177) <=> (v115(constB177) | v124(constB177)))) | v114(constB177) | (~(v115(constB177) | v124(constB177)))),
% 8.41/6.39 inference(tautology,[status(thm)],[])).
% 8.41/6.39 tff(22626,plain,
% 8.41/6.39 (v114(constB177)),
% 8.41/6.39 inference(unit_resolution,[status(thm)],[22625, 22624, 22598])).
% 8.41/6.39 tff(22627,plain,
% 8.41/6.39 ((v114(constB177) | v125(constB177)) | (~v114(constB177))),
% 8.41/6.39 inference(tautology,[status(thm)],[])).
% 8.41/6.39 tff(22628,plain,
% 8.41/6.39 (v114(constB177) | v125(constB177)),
% 8.41/6.39 inference(unit_resolution,[status(thm)],[22627, 22626])).
% 8.41/6.39 tff(22629,plain,
% 8.41/6.39 ((~(v113(constB177) <=> (v114(constB177) | v125(constB177)))) | v113(constB177) | (~(v114(constB177) | v125(constB177)))),
% 8.41/6.39 inference(tautology,[status(thm)],[])).
% 8.41/6.39 tff(22630,plain,
% 8.41/6.39 (v113(constB177)),
% 8.41/6.39 inference(unit_resolution,[status(thm)],[22629, 22628, 22596])).
% 8.41/6.39 tff(22631,plain,
% 8.41/6.39 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB177)) <=> v111(constB177))),
% 8.41/6.39 inference(quant_inst,[status(thm)],[])).
% 8.41/6.39 tff(22632,plain,
% 8.41/6.39 ((~v126(constB177)) <=> v111(constB177)),
% 8.41/6.39 inference(unit_resolution,[status(thm)],[22631, 3396])).
% 8.41/6.39 tff(22633,plain,
% 8.41/6.39 ((~((~v126(constB177)) <=> v111(constB177))) | v126(constB177) | v111(constB177)),
% 8.41/6.39 inference(tautology,[status(thm)],[])).
% 8.41/6.39 tff(22634,plain,
% 8.41/6.39 ((~((~v126(constB177)) <=> v111(constB177))) | v126(constB177)),
% 8.41/6.39 inference(unit_resolution,[status(thm)],[22633, 15568])).
% 8.41/6.39 tff(22635,plain,
% 8.41/6.39 (v126(constB177)),
% 8.41/6.39 inference(unit_resolution,[status(thm)],[22634, 22632])).
% 8.41/6.39 tff(22636,plain,
% 8.41/6.39 ((~((~v113(constB177)) | (~v126(constB177)))) | (~v113(constB177)) | (~v126(constB177))),
% 8.41/6.39 inference(tautology,[status(thm)],[])).
% 8.41/6.39 tff(22637,plain,
% 8.41/6.39 ((~((~v113(constB177)) | (~v126(constB177)))) | (~v113(constB177))),
% 8.41/6.39 inference(unit_resolution,[status(thm)],[22636, 22635])).
% 8.41/6.39 tff(22638,plain,
% 8.41/6.39 (~((~v113(constB177)) | (~v126(constB177)))),
% 8.41/6.39 inference(unit_resolution,[status(thm)],[22637, 22630])).
% 8.41/6.39 tff(22639,plain,
% 8.41/6.39 ((~(v112(constB177) <=> (~((~v113(constB177)) | (~v126(constB177)))))) | v112(constB177) | ((~v113(constB177)) | (~v126(constB177)))),
% 8.41/6.39 inference(tautology,[status(thm)],[])).
% 8.41/6.39 tff(22640,plain,
% 8.41/6.39 (v112(constB177)),
% 8.41/6.39 inference(unit_resolution,[status(thm)],[22639, 22638, 22594])).
% 8.41/6.39 tff(22641,plain,
% 8.41/6.39 ((v111(constB177) | v112(constB177)) | (~v112(constB177))),
% 8.41/6.39 inference(tautology,[status(thm)],[])).
% 8.41/6.39 tff(22642,plain,
% 8.41/6.39 (v111(constB177) | v112(constB177)),
% 8.41/6.39 inference(unit_resolution,[status(thm)],[22641, 22640])).
% 8.41/6.39 tff(22643,plain,
% 8.41/6.39 ((~(v108(constB177) <=> (v111(constB177) | v112(constB177)))) | v108(constB177) | (~(v111(constB177) | v112(constB177)))),
% 8.41/6.39 inference(tautology,[status(thm)],[])).
% 8.41/6.39 tff(22644,plain,
% 8.41/6.39 (v108(constB177)),
% 8.41/6.39 inference(unit_resolution,[status(thm)],[22643, 22642, 22592])).
% 8.41/6.39 tff(22645,plain,
% 8.41/6.39 ((~(v110(constB178) <=> v108(constB177))) | v110(constB178) | (~v108(constB177))),
% 8.41/6.39 inference(tautology,[status(thm)],[])).
% 8.41/6.39 tff(22646,plain,
% 8.41/6.39 (v110(constB178)),
% 8.41/6.39 inference(unit_resolution,[status(thm)],[22645, 22644, 22590])).
% 8.41/6.39 tff(22647,plain,
% 8.41/6.39 ((~((~v101(constB178)) | (~v110(constB178)))) | (~v101(constB178)) | (~v110(constB178))),
% 8.41/6.39 inference(tautology,[status(thm)],[])).
% 8.41/6.39 tff(22648,plain,
% 8.41/6.39 (~((~v101(constB178)) | (~v110(constB178)))),
% 8.41/6.39 inference(unit_resolution,[status(thm)],[22647, 22646, 22586])).
% 8.41/6.39 tff(22649,plain,
% 8.41/6.39 ((~(v100(constB178) <=> (~((~v101(constB178)) | (~v110(constB178)))))) | v100(constB178) | ((~v101(constB178)) | (~v110(constB178)))),
% 8.41/6.39 inference(tautology,[status(thm)],[])).
% 8.41/6.39 tff(22650,plain,
% 8.41/6.39 (v100(constB178)),
% 8.41/6.39 inference(unit_resolution,[status(thm)],[22649, 22648, 22558])).
% 8.41/6.39 tff(22651,plain,
% 8.41/6.39 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB178)) | (~(((~v90(constB178, bitIndex0)) <=> v129(constB178, bitIndex0)) | ((~v90(constB178, bitIndex2)) <=> v129(constB178, bitIndex2)) | ((~v90(constB178, bitIndex1)) <=> v129(constB178, bitIndex1)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB178)) | (~(((~v90(constB178, bitIndex0)) <=> v129(constB178, bitIndex0)) | ((~v90(constB178, bitIndex2)) <=> v129(constB178, bitIndex2)) | ((~v90(constB178, bitIndex1)) <=> v129(constB178, bitIndex1)))))),
% 8.41/6.39 inference(rewrite,[status(thm)],[])).
% 8.41/6.39 tff(22652,plain,
% 8.41/6.39 (((~v100(constB178)) | (~(((~v90(constB178, bitIndex2)) <=> v129(constB178, bitIndex2)) | ((~v90(constB178, bitIndex1)) <=> v129(constB178, bitIndex1)) | ((~v90(constB178, bitIndex0)) <=> v129(constB178, bitIndex0))))) <=> ((~v100(constB178)) | (~(((~v90(constB178, bitIndex0)) <=> v129(constB178, bitIndex0)) | ((~v90(constB178, bitIndex2)) <=> v129(constB178, bitIndex2)) | ((~v90(constB178, bitIndex1)) <=> v129(constB178, bitIndex1)))))),
% 8.41/6.39 inference(rewrite,[status(thm)],[])).
% 8.41/6.39 tff(22653,plain,
% 8.41/6.39 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB178)) | (~(((~v90(constB178, bitIndex2)) <=> v129(constB178, bitIndex2)) | ((~v90(constB178, bitIndex1)) <=> v129(constB178, bitIndex1)) | ((~v90(constB178, bitIndex0)) <=> v129(constB178, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB178)) | (~(((~v90(constB178, bitIndex0)) <=> v129(constB178, bitIndex0)) | ((~v90(constB178, bitIndex2)) <=> v129(constB178, bitIndex2)) | ((~v90(constB178, bitIndex1)) <=> v129(constB178, bitIndex1))))))),
% 8.41/6.39 inference(monotonicity,[status(thm)],[22652])).
% 8.41/6.39 tff(22654,plain,
% 8.41/6.39 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB178)) | (~(((~v90(constB178, bitIndex2)) <=> v129(constB178, bitIndex2)) | ((~v90(constB178, bitIndex1)) <=> v129(constB178, bitIndex1)) | ((~v90(constB178, bitIndex0)) <=> v129(constB178, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB178)) | (~(((~v90(constB178, bitIndex0)) <=> v129(constB178, bitIndex0)) | ((~v90(constB178, bitIndex2)) <=> v129(constB178, bitIndex2)) | ((~v90(constB178, bitIndex1)) <=> v129(constB178, bitIndex1)))))),
% 8.41/6.39 inference(transitivity,[status(thm)],[22653, 22651])).
% 8.41/6.39 tff(22655,plain,
% 8.41/6.39 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB178)) | (~(((~v90(constB178, bitIndex2)) <=> v129(constB178, bitIndex2)) | ((~v90(constB178, bitIndex1)) <=> v129(constB178, bitIndex1)) | ((~v90(constB178, bitIndex0)) <=> v129(constB178, bitIndex0)))))),
% 8.41/6.39 inference(quant_inst,[status(thm)],[])).
% 8.41/6.39 tff(22656,plain,
% 8.41/6.39 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB178)) | (~(((~v90(constB178, bitIndex0)) <=> v129(constB178, bitIndex0)) | ((~v90(constB178, bitIndex2)) <=> v129(constB178, bitIndex2)) | ((~v90(constB178, bitIndex1)) <=> v129(constB178, bitIndex1))))),
% 8.41/6.39 inference(modus_ponens,[status(thm)],[22655, 22654])).
% 8.41/6.39 tff(22657,plain,
% 8.41/6.39 ((~v100(constB178)) | (~(((~v90(constB178, bitIndex0)) <=> v129(constB178, bitIndex0)) | ((~v90(constB178, bitIndex2)) <=> v129(constB178, bitIndex2)) | ((~v90(constB178, bitIndex1)) <=> v129(constB178, bitIndex1))))),
% 8.41/6.39 inference(unit_resolution,[status(thm)],[22656, 3429])).
% 8.41/6.39 tff(22658,plain,
% 8.41/6.39 (~(((~v90(constB178, bitIndex0)) <=> v129(constB178, bitIndex0)) | ((~v90(constB178, bitIndex2)) <=> v129(constB178, bitIndex2)) | ((~v90(constB178, bitIndex1)) <=> v129(constB178, bitIndex1)))),
% 8.41/6.39 inference(unit_resolution,[status(thm)],[22657, 22650])).
% 8.41/6.39 tff(22659,plain,
% 8.41/6.39 ((((~v90(constB178, bitIndex0)) <=> v129(constB178, bitIndex0)) | ((~v90(constB178, bitIndex2)) <=> v129(constB178, bitIndex2)) | ((~v90(constB178, bitIndex1)) <=> v129(constB178, bitIndex1))) | (~((~v90(constB178, bitIndex2)) <=> v129(constB178, bitIndex2)))),
% 8.41/6.39 inference(tautology,[status(thm)],[])).
% 8.41/6.39 tff(22660,plain,
% 8.41/6.39 (~((~v90(constB178, bitIndex2)) <=> v129(constB178, bitIndex2))),
% 8.41/6.39 inference(unit_resolution,[status(thm)],[22659, 22658])).
% 8.41/6.39 tff(22661,plain,
% 8.41/6.39 (((~v90(constB178, bitIndex2)) <=> v129(constB178, bitIndex2)) | (~v90(constB178, bitIndex2)) | v129(constB178, bitIndex2)),
% 8.41/6.39 inference(tautology,[status(thm)],[])).
% 8.41/6.39 tff(22662,plain,
% 8.41/6.39 (~v90(constB178, bitIndex2)),
% 8.41/6.39 inference(unit_resolution,[status(thm)],[22661, 22660, 22554])).
% 8.41/6.39 tff(22663,plain,
% 8.41/6.39 (((~v90(constB179, bitIndex2)) <=> v90(constB178, bitIndex2)) | (~v90(constB179, bitIndex2)) | v90(constB178, bitIndex2)),
% 8.41/6.39 inference(tautology,[status(thm)],[])).
% 8.41/6.39 tff(22664,plain,
% 8.41/6.39 (~v90(constB179, bitIndex2)),
% 8.41/6.39 inference(unit_resolution,[status(thm)],[22663, 22662, 15552])).
% 8.41/6.39 tff(22665,plain,
% 8.41/6.39 ((((~v90(constB179, bitIndex1)) <=> v90(constB178, bitIndex1)) | ((~v90(constB179, bitIndex2)) <=> v90(constB178, bitIndex2)) | ((~v90(constB179, bitIndex0)) <=> v90(constB178, bitIndex0))) | (~((~v90(constB179, bitIndex0)) <=> v90(constB178, bitIndex0)))),
% 8.41/6.39 inference(tautology,[status(thm)],[])).
% 8.41/6.39 tff(22666,plain,
% 8.41/6.39 (~((~v90(constB179, bitIndex0)) <=> v90(constB178, bitIndex0))),
% 8.41/6.39 inference(unit_resolution,[status(thm)],[22665, 15550])).
% 8.41/6.39 tff(22667,plain,
% 8.41/6.39 ((((~v129(constB178, bitIndex2)) <=> v127(constB177, bitIndex2)) | ((~v129(constB178, bitIndex1)) <=> v127(constB177, bitIndex1)) | ((~v129(constB178, bitIndex0)) <=> v127(constB177, bitIndex0))) | (~((~v129(constB178, bitIndex0)) <=> v127(constB177, bitIndex0)))),
% 8.41/6.39 inference(tautology,[status(thm)],[])).
% 8.41/6.39 tff(22668,plain,
% 8.41/6.39 (~((~v129(constB178, bitIndex0)) <=> v127(constB177, bitIndex0))),
% 8.41/6.39 inference(unit_resolution,[status(thm)],[22667, 15559])).
% 8.41/6.39 tff(22669,plain,
% 8.41/6.39 ((((~v127(constB177, bitIndex2)) <=> v130(constB177, bitIndex2)) | ((~v127(constB177, bitIndex1)) <=> v130(constB177, bitIndex1)) | ((~v127(constB177, bitIndex0)) <=> v130(constB177, bitIndex0))) | (~((~v127(constB177, bitIndex0)) <=> v130(constB177, bitIndex0)))),
% 8.41/6.39 inference(tautology,[status(thm)],[])).
% 8.41/6.39 tff(22670,plain,
% 8.41/6.39 (~((~v127(constB177, bitIndex0)) <=> v130(constB177, bitIndex0))),
% 8.41/6.39 inference(unit_resolution,[status(thm)],[22669, 15573])).
% 8.41/6.39 tff(22671,plain,
% 8.41/6.39 ((v130(constB177, bitIndex2) | v130(constB177, bitIndex0) | (~v130(constB177, bitIndex1))) | (~v130(constB177, bitIndex0))),
% 8.41/6.39 inference(tautology,[status(thm)],[])).
% 8.41/6.39 tff(22672,plain,
% 8.41/6.39 (~v130(constB177, bitIndex0)),
% 8.41/6.39 inference(unit_resolution,[status(thm)],[22671, 22548])).
% 8.41/6.39 tff(22673,plain,
% 8.41/6.39 (((~v127(constB177, bitIndex0)) <=> v130(constB177, bitIndex0)) | (~v127(constB177, bitIndex0)) | v130(constB177, bitIndex0)),
% 8.41/6.39 inference(tautology,[status(thm)],[])).
% 8.41/6.39 tff(22674,plain,
% 8.41/6.39 (~v127(constB177, bitIndex0)),
% 8.41/6.39 inference(unit_resolution,[status(thm)],[22673, 22672, 22670])).
% 8.41/6.39 tff(22675,plain,
% 8.41/6.39 (((~v129(constB178, bitIndex0)) <=> v127(constB177, bitIndex0)) | (~v129(constB178, bitIndex0)) | v127(constB177, bitIndex0)),
% 8.41/6.39 inference(tautology,[status(thm)],[])).
% 8.41/6.39 tff(22676,plain,
% 8.41/6.39 (~v129(constB178, bitIndex0)),
% 8.41/6.39 inference(unit_resolution,[status(thm)],[22675, 22674, 22668])).
% 8.41/6.39 tff(22677,plain,
% 8.41/6.39 ((((~v90(constB178, bitIndex0)) <=> v129(constB178, bitIndex0)) | ((~v90(constB178, bitIndex2)) <=> v129(constB178, bitIndex2)) | ((~v90(constB178, bitIndex1)) <=> v129(constB178, bitIndex1))) | (~((~v90(constB178, bitIndex0)) <=> v129(constB178, bitIndex0)))),
% 8.41/6.39 inference(tautology,[status(thm)],[])).
% 8.41/6.39 tff(22678,plain,
% 8.41/6.39 (~((~v90(constB178, bitIndex0)) <=> v129(constB178, bitIndex0))),
% 8.41/6.39 inference(unit_resolution,[status(thm)],[22677, 22658])).
% 8.41/6.39 tff(22679,plain,
% 8.41/6.39 (((~v90(constB178, bitIndex0)) <=> v129(constB178, bitIndex0)) | (~v90(constB178, bitIndex0)) | v129(constB178, bitIndex0)),
% 8.41/6.39 inference(tautology,[status(thm)],[])).
% 8.41/6.39 tff(22680,plain,
% 8.41/6.39 (~v90(constB178, bitIndex0)),
% 8.41/6.39 inference(unit_resolution,[status(thm)],[22679, 22678, 22676])).
% 8.41/6.39 tff(22681,plain,
% 8.41/6.39 (((~v90(constB179, bitIndex0)) <=> v90(constB178, bitIndex0)) | (~v90(constB179, bitIndex0)) | v90(constB178, bitIndex0)),
% 8.41/6.39 inference(tautology,[status(thm)],[])).
% 8.41/6.39 tff(22682,plain,
% 8.41/6.39 (~v90(constB179, bitIndex0)),
% 8.41/6.39 inference(unit_resolution,[status(thm)],[22681, 22680, 22666])).
% 8.41/6.39 tff(22683,plain,
% 8.41/6.39 ((((~v90(constB179, bitIndex1)) <=> v90(constB178, bitIndex1)) | ((~v90(constB179, bitIndex2)) <=> v90(constB178, bitIndex2)) | ((~v90(constB179, bitIndex0)) <=> v90(constB178, bitIndex0))) | (~((~v90(constB179, bitIndex1)) <=> v90(constB178, bitIndex1)))),
% 8.41/6.39 inference(tautology,[status(thm)],[])).
% 8.48/6.39 tff(22684,plain,
% 8.48/6.39 (~((~v90(constB179, bitIndex1)) <=> v90(constB178, bitIndex1))),
% 8.48/6.39 inference(unit_resolution,[status(thm)],[22683, 15550])).
% 8.48/6.39 tff(22685,plain,
% 8.48/6.39 ((((~v129(constB178, bitIndex2)) <=> v127(constB177, bitIndex2)) | ((~v129(constB178, bitIndex1)) <=> v127(constB177, bitIndex1)) | ((~v129(constB178, bitIndex0)) <=> v127(constB177, bitIndex0))) | (~((~v129(constB178, bitIndex1)) <=> v127(constB177, bitIndex1)))),
% 8.48/6.39 inference(tautology,[status(thm)],[])).
% 8.48/6.39 tff(22686,plain,
% 8.48/6.39 (~((~v129(constB178, bitIndex1)) <=> v127(constB177, bitIndex1))),
% 8.48/6.39 inference(unit_resolution,[status(thm)],[22685, 15559])).
% 8.48/6.39 tff(22687,plain,
% 8.48/6.39 ((((~v127(constB177, bitIndex2)) <=> v130(constB177, bitIndex2)) | ((~v127(constB177, bitIndex1)) <=> v130(constB177, bitIndex1)) | ((~v127(constB177, bitIndex0)) <=> v130(constB177, bitIndex0))) | (~((~v127(constB177, bitIndex1)) <=> v130(constB177, bitIndex1)))),
% 8.48/6.39 inference(tautology,[status(thm)],[])).
% 8.48/6.39 tff(22688,plain,
% 8.48/6.39 (~((~v127(constB177, bitIndex1)) <=> v130(constB177, bitIndex1))),
% 8.48/6.39 inference(unit_resolution,[status(thm)],[22687, 15573])).
% 8.48/6.39 tff(22689,plain,
% 8.48/6.39 ((v130(constB177, bitIndex2) | v130(constB177, bitIndex0) | (~v130(constB177, bitIndex1))) | v130(constB177, bitIndex1)),
% 8.48/6.39 inference(tautology,[status(thm)],[])).
% 8.48/6.39 tff(22690,plain,
% 8.48/6.39 (v130(constB177, bitIndex1)),
% 8.48/6.39 inference(unit_resolution,[status(thm)],[22689, 22548])).
% 8.48/6.39 tff(22691,plain,
% 8.48/6.39 (((~v127(constB177, bitIndex1)) <=> v130(constB177, bitIndex1)) | v127(constB177, bitIndex1) | (~v130(constB177, bitIndex1))),
% 8.48/6.39 inference(tautology,[status(thm)],[])).
% 8.48/6.39 tff(22692,plain,
% 8.48/6.39 (v127(constB177, bitIndex1)),
% 8.48/6.39 inference(unit_resolution,[status(thm)],[22691, 22690, 22688])).
% 8.48/6.39 tff(22693,plain,
% 8.48/6.39 (((~v129(constB178, bitIndex1)) <=> v127(constB177, bitIndex1)) | v129(constB178, bitIndex1) | (~v127(constB177, bitIndex1))),
% 8.48/6.39 inference(tautology,[status(thm)],[])).
% 8.48/6.39 tff(22694,plain,
% 8.48/6.39 (v129(constB178, bitIndex1)),
% 8.48/6.39 inference(unit_resolution,[status(thm)],[22693, 22692, 22686])).
% 8.48/6.39 tff(22695,plain,
% 8.48/6.39 ((((~v90(constB178, bitIndex0)) <=> v129(constB178, bitIndex0)) | ((~v90(constB178, bitIndex2)) <=> v129(constB178, bitIndex2)) | ((~v90(constB178, bitIndex1)) <=> v129(constB178, bitIndex1))) | (~((~v90(constB178, bitIndex1)) <=> v129(constB178, bitIndex1)))),
% 8.48/6.39 inference(tautology,[status(thm)],[])).
% 8.48/6.39 tff(22696,plain,
% 8.48/6.39 (~((~v90(constB178, bitIndex1)) <=> v129(constB178, bitIndex1))),
% 8.48/6.39 inference(unit_resolution,[status(thm)],[22695, 22658])).
% 8.48/6.39 tff(22697,plain,
% 8.48/6.39 (((~v90(constB178, bitIndex1)) <=> v129(constB178, bitIndex1)) | v90(constB178, bitIndex1) | (~v129(constB178, bitIndex1))),
% 8.48/6.39 inference(tautology,[status(thm)],[])).
% 8.48/6.39 tff(22698,plain,
% 8.48/6.39 (v90(constB178, bitIndex1)),
% 8.48/6.39 inference(unit_resolution,[status(thm)],[22697, 22696, 22694])).
% 8.48/6.39 tff(22699,plain,
% 8.48/6.39 (((~v90(constB179, bitIndex1)) <=> v90(constB178, bitIndex1)) | v90(constB179, bitIndex1) | (~v90(constB178, bitIndex1))),
% 8.48/6.39 inference(tautology,[status(thm)],[])).
% 8.48/6.39 tff(22700,plain,
% 8.48/6.39 (v90(constB179, bitIndex1)),
% 8.48/6.39 inference(unit_resolution,[status(thm)],[22699, 22698, 22684])).
% 8.48/6.39 tff(22701,plain,
% 8.48/6.39 ((~(v90(constB179, bitIndex2) | v90(constB179, bitIndex0) | (~v90(constB179, bitIndex1)))) | v90(constB179, bitIndex2) | v90(constB179, bitIndex0) | (~v90(constB179, bitIndex1))),
% 8.48/6.39 inference(tautology,[status(thm)],[])).
% 8.48/6.39 tff(22702,plain,
% 8.48/6.39 (~(v90(constB179, bitIndex2) | v90(constB179, bitIndex0) | (~v90(constB179, bitIndex1)))),
% 8.48/6.39 inference(unit_resolution,[status(thm)],[22701, 22700, 22682, 22664])).
% 8.48/6.39 tff(22703,plain,
% 8.48/6.39 ((~(v121(constB179) <=> (~(v90(constB179, bitIndex2) | v90(constB179, bitIndex0) | (~v90(constB179, bitIndex1)))))) | v121(constB179) | (v90(constB179, bitIndex2) | v90(constB179, bitIndex0) | (~v90(constB179, bitIndex1)))),
% 8.48/6.39 inference(tautology,[status(thm)],[])).
% 8.48/6.39 tff(22704,plain,
% 8.48/6.39 (v121(constB179)),
% 8.48/6.39 inference(unit_resolution,[status(thm)],[22703, 22702, 15516])).
% 8.48/6.39 tff(22705,plain,
% 8.48/6.39 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB179)) | (~(v130(constB179, bitIndex2) | (~v130(constB179, bitIndex1)) | (~v130(constB179, bitIndex0)))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | (~v121(constB179)) | (~(v130(constB179, bitIndex2) | (~v130(constB179, bitIndex1)) | (~v130(constB179, bitIndex0)))))),
% 8.48/6.39 inference(rewrite,[status(thm)],[])).
% 8.48/6.39 tff(22706,plain,
% 8.48/6.39 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB179)) | (~(v130(constB179, bitIndex2) | (~v130(constB179, bitIndex1)) | (~v130(constB179, bitIndex0)))))),
% 8.48/6.39 inference(quant_inst,[status(thm)],[])).
% 8.48/6.39 tff(22707,plain,
% 8.48/6.39 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | (~v121(constB179)) | (~(v130(constB179, bitIndex2) | (~v130(constB179, bitIndex1)) | (~v130(constB179, bitIndex0))))),
% 8.48/6.39 inference(modus_ponens,[status(thm)],[22706, 22705])).
% 8.48/6.39 tff(22708,plain,
% 8.48/6.39 ((~v121(constB179)) | (~(v130(constB179, bitIndex2) | (~v130(constB179, bitIndex1)) | (~v130(constB179, bitIndex0))))),
% 8.48/6.39 inference(unit_resolution,[status(thm)],[22707, 4055])).
% 8.48/6.39 tff(22709,plain,
% 8.48/6.39 (~(v130(constB179, bitIndex2) | (~v130(constB179, bitIndex1)) | (~v130(constB179, bitIndex0)))),
% 8.48/6.39 inference(unit_resolution,[status(thm)],[22708, 22704])).
% 8.48/6.39 tff(22710,plain,
% 8.48/6.39 ((v130(constB179, bitIndex2) | (~v130(constB179, bitIndex1)) | (~v130(constB179, bitIndex0))) | (~v130(constB179, bitIndex2))),
% 8.48/6.39 inference(tautology,[status(thm)],[])).
% 8.48/6.39 tff(22711,plain,
% 8.48/6.39 (~v130(constB179, bitIndex2)),
% 8.48/6.39 inference(unit_resolution,[status(thm)],[22710, 22709])).
% 8.48/6.39 tff(22712,plain,
% 8.48/6.39 (((~v127(constB179, bitIndex2)) <=> v130(constB179, bitIndex2)) | (~v127(constB179, bitIndex2)) | v130(constB179, bitIndex2)),
% 8.48/6.39 inference(tautology,[status(thm)],[])).
% 8.48/6.39 tff(22713,plain,
% 8.48/6.39 (~v127(constB179, bitIndex2)),
% 8.48/6.39 inference(unit_resolution,[status(thm)],[22712, 22711, 15509])).
% 8.48/6.39 tff(22714,plain,
% 8.48/6.39 (((~v129(constB180, bitIndex2)) <=> v127(constB179, bitIndex2)) | (~v129(constB180, bitIndex2)) | v127(constB179, bitIndex2)),
% 8.48/6.39 inference(tautology,[status(thm)],[])).
% 8.48/6.39 tff(22715,plain,
% 8.48/6.39 (~v129(constB180, bitIndex2)),
% 8.48/6.39 inference(unit_resolution,[status(thm)],[22714, 22713, 15495])).
% 8.48/6.39 tff(22716,plain,
% 8.48/6.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB179, constB180)) | (v100(constB180) <=> (~((~v101(constB180)) | (~v110(constB180))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB179, constB180)) | (v100(constB180) <=> (~((~v101(constB180)) | (~v110(constB180))))))),
% 8.48/6.39 inference(rewrite,[status(thm)],[])).
% 8.48/6.39 tff(22717,plain,
% 8.48/6.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB179, constB180)) | (v100(constB180) <=> (~((~v101(constB180)) | (~v110(constB180))))))),
% 8.48/6.39 inference(quant_inst,[status(thm)],[])).
% 8.48/6.39 tff(22718,plain,
% 8.48/6.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB179, constB180)) | (v100(constB180) <=> (~((~v101(constB180)) | (~v110(constB180)))))),
% 8.48/6.39 inference(modus_ponens,[status(thm)],[22717, 22716])).
% 8.48/6.39 tff(22719,plain,
% 8.48/6.39 (v100(constB180) <=> (~((~v101(constB180)) | (~v110(constB180))))),
% 8.48/6.39 inference(unit_resolution,[status(thm)],[22718, 15489, 445])).
% 8.48/6.39 tff(22720,plain,
% 8.48/6.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB179, constB180)) | (v101(constB180) <=> (~((~v1(constB180)) | (~v102(constB180))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB179, constB180)) | (v101(constB180) <=> (~((~v1(constB180)) | (~v102(constB180))))))),
% 8.48/6.39 inference(rewrite,[status(thm)],[])).
% 8.48/6.39 tff(22721,plain,
% 8.48/6.39 (((~nextState(constB179, constB180)) | (v101(constB180) <=> (~((~v102(constB180)) | (~v1(constB180)))))) <=> ((~nextState(constB179, constB180)) | (v101(constB180) <=> (~((~v1(constB180)) | (~v102(constB180))))))),
% 8.48/6.39 inference(rewrite,[status(thm)],[])).
% 8.48/6.39 tff(22722,plain,
% 8.48/6.39 (((~![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) <=> (~((~v1(constB180)) | (~v102(constB180)))))))),
% 8.48/6.39 inference(monotonicity,[status(thm)],[22721])).
% 8.48/6.39 tff(22723,plain,
% 8.48/6.39 (((~![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) <=> (~((~v1(constB180)) | (~v102(constB180))))))),
% 8.48/6.39 inference(transitivity,[status(thm)],[22722, 22720])).
% 8.48/6.39 tff(22724,plain,
% 8.48/6.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB179, constB180)) | (v101(constB180) <=> (~((~v102(constB180)) | (~v1(constB180))))))),
% 8.48/6.39 inference(quant_inst,[status(thm)],[])).
% 8.48/6.39 tff(22725,plain,
% 8.48/6.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB179, constB180)) | (v101(constB180) <=> (~((~v1(constB180)) | (~v102(constB180)))))),
% 8.48/6.40 inference(modus_ponens,[status(thm)],[22724, 22723])).
% 8.48/6.40 tff(22726,plain,
% 8.48/6.40 (v101(constB180) <=> (~((~v1(constB180)) | (~v102(constB180))))),
% 8.48/6.40 inference(unit_resolution,[status(thm)],[22725, 15489, 465])).
% 8.48/6.40 tff(22727,plain,
% 8.48/6.40 (((~![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)))),
% 8.48/6.40 inference(rewrite,[status(thm)],[])).
% 8.48/6.40 tff(22728,plain,
% 8.48/6.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB179, constB180)) | ((~v102(constB180)) <=> v104(constB180)))),
% 8.48/6.40 inference(quant_inst,[status(thm)],[])).
% 8.48/6.40 tff(22729,plain,
% 8.48/6.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB179, constB180)) | ((~v102(constB180)) <=> v104(constB180))),
% 8.48/6.40 inference(modus_ponens,[status(thm)],[22728, 22727])).
% 8.48/6.40 tff(22730,plain,
% 8.48/6.40 ((~v102(constB180)) <=> v104(constB180)),
% 8.48/6.40 inference(unit_resolution,[status(thm)],[22729, 15489, 3244])).
% 8.48/6.40 tff(22731,plain,
% 8.48/6.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB179, constB180)) | (v104(constB180) <=> v1(constB179)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB179, constB180)) | (v104(constB180) <=> v1(constB179)))),
% 8.48/6.40 inference(rewrite,[status(thm)],[])).
% 8.48/6.40 tff(22732,plain,
% 8.48/6.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB179, constB180)) | (v104(constB180) <=> v1(constB179)))),
% 8.48/6.40 inference(quant_inst,[status(thm)],[])).
% 8.48/6.40 tff(22733,plain,
% 8.48/6.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB179, constB180)) | (v104(constB180) <=> v1(constB179))),
% 8.48/6.40 inference(modus_ponens,[status(thm)],[22732, 22731])).
% 8.48/6.40 tff(22734,plain,
% 8.48/6.40 (v104(constB180) <=> v1(constB179)),
% 8.48/6.40 inference(unit_resolution,[status(thm)],[22733, 15489, 3258])).
% 8.48/6.40 tff(22735,plain,
% 8.48/6.40 ((~(v104(constB180) <=> v1(constB179))) | (~v104(constB180)) | v1(constB179)),
% 8.48/6.40 inference(tautology,[status(thm)],[])).
% 8.48/6.40 tff(22736,plain,
% 8.48/6.40 ((~(v104(constB180) <=> v1(constB179))) | (~v104(constB180))),
% 8.48/6.40 inference(unit_resolution,[status(thm)],[22735, 15533])).
% 8.48/6.40 tff(22737,plain,
% 8.48/6.40 (~v104(constB180)),
% 8.48/6.40 inference(unit_resolution,[status(thm)],[22736, 22734])).
% 8.48/6.40 tff(22738,plain,
% 8.48/6.40 ((~((~v102(constB180)) <=> v104(constB180))) | v102(constB180) | v104(constB180)),
% 8.48/6.40 inference(tautology,[status(thm)],[])).
% 8.48/6.40 tff(22739,plain,
% 8.48/6.40 (v102(constB180)),
% 8.48/6.40 inference(unit_resolution,[status(thm)],[22738, 22737, 22730])).
% 8.48/6.40 tff(22740,plain,
% 8.48/6.40 (v1(constB180) <=> v1(constB180)),
% 8.48/6.40 inference(rewrite,[status(thm)],[])).
% 8.48/6.40 tff(22741,axiom,(v1(constB180)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_180')).
% 8.48/6.40 tff(22742,plain,
% 8.48/6.40 (v1(constB180)),
% 8.48/6.40 inference(modus_ponens,[status(thm)],[22741, 22740])).
% 8.48/6.40 tff(22743,plain,
% 8.48/6.40 ((~((~v1(constB180)) | (~v102(constB180)))) | (~v1(constB180)) | (~v102(constB180))),
% 8.48/6.40 inference(tautology,[status(thm)],[])).
% 8.48/6.40 tff(22744,plain,
% 8.48/6.40 ((~((~v1(constB180)) | (~v102(constB180)))) | (~v102(constB180))),
% 8.48/6.40 inference(unit_resolution,[status(thm)],[22743, 22742])).
% 8.48/6.40 tff(22745,plain,
% 8.48/6.40 (~((~v1(constB180)) | (~v102(constB180)))),
% 8.48/6.40 inference(unit_resolution,[status(thm)],[22744, 22739])).
% 8.48/6.40 tff(22746,plain,
% 8.48/6.40 ((~(v101(constB180) <=> (~((~v1(constB180)) | (~v102(constB180)))))) | v101(constB180) | ((~v1(constB180)) | (~v102(constB180)))),
% 8.48/6.40 inference(tautology,[status(thm)],[])).
% 8.48/6.40 tff(22747,plain,
% 8.48/6.40 (v101(constB180)),
% 8.48/6.40 inference(unit_resolution,[status(thm)],[22746, 22745, 22726])).
% 8.48/6.40 tff(22748,plain,
% 8.48/6.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB179, constB180)) | (v110(constB180) <=> v108(constB179)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB179, constB180)) | (v110(constB180) <=> v108(constB179)))),
% 8.48/6.40 inference(rewrite,[status(thm)],[])).
% 8.48/6.40 tff(22749,plain,
% 8.48/6.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB179, constB180)) | (v110(constB180) <=> v108(constB179)))),
% 8.48/6.40 inference(quant_inst,[status(thm)],[])).
% 8.48/6.40 tff(22750,plain,
% 8.48/6.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB179, constB180)) | (v110(constB180) <=> v108(constB179))),
% 8.48/6.40 inference(modus_ponens,[status(thm)],[22749, 22748])).
% 8.48/6.40 tff(22751,plain,
% 8.48/6.40 (v110(constB180) <=> v108(constB179)),
% 8.48/6.40 inference(unit_resolution,[status(thm)],[22750, 15489, 3285])).
% 8.48/6.40 tff(22752,plain,
% 8.48/6.40 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB179) <=> (v111(constB179) | v112(constB179)))),
% 8.48/6.40 inference(quant_inst,[status(thm)],[])).
% 8.48/6.40 tff(22753,plain,
% 8.48/6.40 (v108(constB179) <=> (v111(constB179) | v112(constB179))),
% 8.48/6.40 inference(unit_resolution,[status(thm)],[22752, 3296])).
% 8.48/6.40 tff(22754,plain,
% 8.48/6.40 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB179) <=> (~((~v113(constB179)) | (~v126(constB179)))))),
% 8.48/6.40 inference(quant_inst,[status(thm)],[])).
% 8.48/6.40 tff(22755,plain,
% 8.48/6.40 (v112(constB179) <=> (~((~v113(constB179)) | (~v126(constB179))))),
% 8.48/6.40 inference(unit_resolution,[status(thm)],[22754, 3308])).
% 8.48/6.40 tff(22756,plain,
% 8.48/6.40 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB179) <=> (v114(constB179) | v125(constB179)))),
% 8.48/6.40 inference(quant_inst,[status(thm)],[])).
% 8.48/6.40 tff(22757,plain,
% 8.48/6.40 (v113(constB179) <=> (v114(constB179) | v125(constB179))),
% 8.48/6.40 inference(unit_resolution,[status(thm)],[22756, 3317])).
% 8.48/6.40 tff(22758,plain,
% 8.48/6.40 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB179) <=> (v115(constB179) | v124(constB179)))),
% 8.48/6.40 inference(quant_inst,[status(thm)],[])).
% 8.48/6.40 tff(22759,plain,
% 8.48/6.40 (v114(constB179) <=> (v115(constB179) | v124(constB179))),
% 8.48/6.40 inference(unit_resolution,[status(thm)],[22758, 3326])).
% 8.48/6.40 tff(22760,plain,
% 8.48/6.40 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB179) <=> (v116(constB179) | v123(constB179)))),
% 8.48/6.40 inference(quant_inst,[status(thm)],[])).
% 8.48/6.40 tff(22761,plain,
% 8.48/6.40 (v115(constB179) <=> (v116(constB179) | v123(constB179))),
% 8.48/6.40 inference(unit_resolution,[status(thm)],[22760, 3335])).
% 8.48/6.40 tff(22762,plain,
% 8.48/6.40 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB179) <=> (v117(constB179) | v122(constB179)))),
% 8.48/6.40 inference(quant_inst,[status(thm)],[])).
% 8.48/6.40 tff(22763,plain,
% 8.48/6.40 (v116(constB179) <=> (v117(constB179) | v122(constB179))),
% 8.48/6.40 inference(unit_resolution,[status(thm)],[22762, 3344])).
% 8.48/6.40 tff(22764,plain,
% 8.48/6.40 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB179) <=> (v118(constB179) | v121(constB179)))),
% 8.48/6.40 inference(quant_inst,[status(thm)],[])).
% 8.48/6.40 tff(22765,plain,
% 8.48/6.40 (v117(constB179) <=> (v118(constB179) | v121(constB179))),
% 8.48/6.40 inference(unit_resolution,[status(thm)],[22764, 3353])).
% 8.48/6.40 tff(22766,plain,
% 8.48/6.40 ((v118(constB179) | v121(constB179)) | (~v121(constB179))),
% 8.48/6.40 inference(tautology,[status(thm)],[])).
% 8.48/6.40 tff(22767,plain,
% 8.48/6.40 (v118(constB179) | v121(constB179)),
% 8.48/6.40 inference(unit_resolution,[status(thm)],[22766, 22704])).
% 8.48/6.40 tff(22768,plain,
% 8.48/6.40 ((~(v117(constB179) <=> (v118(constB179) | v121(constB179)))) | v117(constB179) | (~(v118(constB179) | v121(constB179)))),
% 8.48/6.40 inference(tautology,[status(thm)],[])).
% 8.48/6.40 tff(22769,plain,
% 8.48/6.40 (v117(constB179)),
% 8.48/6.40 inference(unit_resolution,[status(thm)],[22768, 22767, 22765])).
% 8.48/6.40 tff(22770,plain,
% 8.48/6.40 ((v117(constB179) | v122(constB179)) | (~v117(constB179))),
% 8.48/6.40 inference(tautology,[status(thm)],[])).
% 8.48/6.40 tff(22771,plain,
% 8.48/6.40 (v117(constB179) | v122(constB179)),
% 8.48/6.40 inference(unit_resolution,[status(thm)],[22770, 22769])).
% 8.48/6.40 tff(22772,plain,
% 8.48/6.40 ((~(v116(constB179) <=> (v117(constB179) | v122(constB179)))) | v116(constB179) | (~(v117(constB179) | v122(constB179)))),
% 8.48/6.40 inference(tautology,[status(thm)],[])).
% 8.48/6.40 tff(22773,plain,
% 8.48/6.40 (v116(constB179)),
% 8.48/6.40 inference(unit_resolution,[status(thm)],[22772, 22771, 22763])).
% 8.48/6.40 tff(22774,plain,
% 8.48/6.40 ((v116(constB179) | v123(constB179)) | (~v116(constB179))),
% 8.48/6.40 inference(tautology,[status(thm)],[])).
% 8.48/6.40 tff(22775,plain,
% 8.48/6.40 (v116(constB179) | v123(constB179)),
% 8.48/6.40 inference(unit_resolution,[status(thm)],[22774, 22773])).
% 8.48/6.40 tff(22776,plain,
% 8.48/6.40 ((~(v115(constB179) <=> (v116(constB179) | v123(constB179)))) | v115(constB179) | (~(v116(constB179) | v123(constB179)))),
% 8.48/6.40 inference(tautology,[status(thm)],[])).
% 8.48/6.40 tff(22777,plain,
% 8.48/6.40 (v115(constB179)),
% 8.48/6.40 inference(unit_resolution,[status(thm)],[22776, 22775, 22761])).
% 8.48/6.40 tff(22778,plain,
% 8.48/6.40 ((v115(constB179) | v124(constB179)) | (~v115(constB179))),
% 8.48/6.40 inference(tautology,[status(thm)],[])).
% 8.48/6.40 tff(22779,plain,
% 8.48/6.40 (v115(constB179) | v124(constB179)),
% 8.48/6.40 inference(unit_resolution,[status(thm)],[22778, 22777])).
% 8.48/6.40 tff(22780,plain,
% 8.48/6.40 ((~(v114(constB179) <=> (v115(constB179) | v124(constB179)))) | v114(constB179) | (~(v115(constB179) | v124(constB179)))),
% 8.48/6.40 inference(tautology,[status(thm)],[])).
% 8.48/6.40 tff(22781,plain,
% 8.48/6.40 (v114(constB179)),
% 8.48/6.40 inference(unit_resolution,[status(thm)],[22780, 22779, 22759])).
% 8.48/6.40 tff(22782,plain,
% 8.48/6.40 ((v114(constB179) | v125(constB179)) | (~v114(constB179))),
% 8.48/6.40 inference(tautology,[status(thm)],[])).
% 8.48/6.40 tff(22783,plain,
% 8.48/6.40 (v114(constB179) | v125(constB179)),
% 8.48/6.40 inference(unit_resolution,[status(thm)],[22782, 22781])).
% 8.48/6.40 tff(22784,plain,
% 8.48/6.40 ((~(v113(constB179) <=> (v114(constB179) | v125(constB179)))) | v113(constB179) | (~(v114(constB179) | v125(constB179)))),
% 8.48/6.40 inference(tautology,[status(thm)],[])).
% 8.48/6.40 tff(22785,plain,
% 8.48/6.40 (v113(constB179)),
% 8.48/6.40 inference(unit_resolution,[status(thm)],[22784, 22783, 22757])).
% 8.48/6.40 tff(22786,plain,
% 8.48/6.40 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB179)) <=> v111(constB179))),
% 8.48/6.40 inference(quant_inst,[status(thm)],[])).
% 8.48/6.40 tff(22787,plain,
% 8.48/6.40 ((~v126(constB179)) <=> v111(constB179)),
% 8.48/6.40 inference(unit_resolution,[status(thm)],[22786, 3396])).
% 8.48/6.40 tff(22788,plain,
% 8.48/6.40 ((~((~v126(constB179)) <=> v111(constB179))) | v126(constB179) | v111(constB179)),
% 8.48/6.40 inference(tautology,[status(thm)],[])).
% 8.48/6.40 tff(22789,plain,
% 8.48/6.40 ((~((~v126(constB179)) <=> v111(constB179))) | v126(constB179)),
% 8.48/6.40 inference(unit_resolution,[status(thm)],[22788, 15502])).
% 8.48/6.40 tff(22790,plain,
% 8.48/6.40 (v126(constB179)),
% 8.48/6.40 inference(unit_resolution,[status(thm)],[22789, 22787])).
% 8.48/6.40 tff(22791,plain,
% 8.48/6.40 ((~((~v113(constB179)) | (~v126(constB179)))) | (~v113(constB179)) | (~v126(constB179))),
% 8.48/6.40 inference(tautology,[status(thm)],[])).
% 8.48/6.40 tff(22792,plain,
% 8.48/6.40 ((~((~v113(constB179)) | (~v126(constB179)))) | (~v113(constB179))),
% 8.48/6.40 inference(unit_resolution,[status(thm)],[22791, 22790])).
% 8.48/6.40 tff(22793,plain,
% 8.48/6.40 (~((~v113(constB179)) | (~v126(constB179)))),
% 8.48/6.40 inference(unit_resolution,[status(thm)],[22792, 22785])).
% 8.48/6.40 tff(22794,plain,
% 8.48/6.40 ((~(v112(constB179) <=> (~((~v113(constB179)) | (~v126(constB179)))))) | v112(constB179) | ((~v113(constB179)) | (~v126(constB179)))),
% 8.48/6.40 inference(tautology,[status(thm)],[])).
% 8.48/6.40 tff(22795,plain,
% 8.48/6.40 (v112(constB179)),
% 8.48/6.40 inference(unit_resolution,[status(thm)],[22794, 22793, 22755])).
% 8.48/6.40 tff(22796,plain,
% 8.48/6.40 ((v111(constB179) | v112(constB179)) | (~v112(constB179))),
% 8.48/6.40 inference(tautology,[status(thm)],[])).
% 8.48/6.40 tff(22797,plain,
% 8.48/6.40 (v111(constB179) | v112(constB179)),
% 8.48/6.40 inference(unit_resolution,[status(thm)],[22796, 22795])).
% 8.48/6.40 tff(22798,plain,
% 8.48/6.40 ((~(v108(constB179) <=> (v111(constB179) | v112(constB179)))) | v108(constB179) | (~(v111(constB179) | v112(constB179)))),
% 8.48/6.40 inference(tautology,[status(thm)],[])).
% 8.48/6.40 tff(22799,plain,
% 8.48/6.40 (v108(constB179)),
% 8.48/6.40 inference(unit_resolution,[status(thm)],[22798, 22797, 22753])).
% 8.48/6.40 tff(22800,plain,
% 8.48/6.40 ((~(v110(constB180) <=> v108(constB179))) | v110(constB180) | (~v108(constB179))),
% 8.48/6.40 inference(tautology,[status(thm)],[])).
% 8.48/6.40 tff(22801,plain,
% 8.48/6.40 (v110(constB180)),
% 8.48/6.40 inference(unit_resolution,[status(thm)],[22800, 22799, 22751])).
% 8.48/6.40 tff(22802,plain,
% 8.48/6.40 ((~((~v101(constB180)) | (~v110(constB180)))) | (~v101(constB180)) | (~v110(constB180))),
% 8.48/6.40 inference(tautology,[status(thm)],[])).
% 8.48/6.40 tff(22803,plain,
% 8.48/6.40 (~((~v101(constB180)) | (~v110(constB180)))),
% 8.48/6.40 inference(unit_resolution,[status(thm)],[22802, 22801, 22747])).
% 8.48/6.40 tff(22804,plain,
% 8.48/6.40 ((~(v100(constB180) <=> (~((~v101(constB180)) | (~v110(constB180)))))) | v100(constB180) | ((~v101(constB180)) | (~v110(constB180)))),
% 8.48/6.40 inference(tautology,[status(thm)],[])).
% 8.48/6.40 tff(22805,plain,
% 8.48/6.40 (v100(constB180)),
% 8.48/6.40 inference(unit_resolution,[status(thm)],[22804, 22803, 22719])).
% 8.48/6.40 tff(22806,plain,
% 8.48/6.40 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB180)) | (~(((~v90(constB180, bitIndex2)) <=> v129(constB180, bitIndex2)) | ((~v90(constB180, bitIndex1)) <=> v129(constB180, bitIndex1)) | ((~v90(constB180, bitIndex0)) <=> v129(constB180, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB180)) | (~(((~v90(constB180, bitIndex2)) <=> v129(constB180, bitIndex2)) | ((~v90(constB180, bitIndex1)) <=> v129(constB180, bitIndex1)) | ((~v90(constB180, bitIndex0)) <=> v129(constB180, bitIndex0)))))),
% 8.48/6.40 inference(rewrite,[status(thm)],[])).
% 8.48/6.40 tff(22807,plain,
% 8.48/6.40 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB180)) | (~(((~v90(constB180, bitIndex2)) <=> v129(constB180, bitIndex2)) | ((~v90(constB180, bitIndex1)) <=> v129(constB180, bitIndex1)) | ((~v90(constB180, bitIndex0)) <=> v129(constB180, bitIndex0)))))),
% 8.48/6.40 inference(quant_inst,[status(thm)],[])).
% 8.48/6.40 tff(22808,plain,
% 8.48/6.40 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB180)) | (~(((~v90(constB180, bitIndex2)) <=> v129(constB180, bitIndex2)) | ((~v90(constB180, bitIndex1)) <=> v129(constB180, bitIndex1)) | ((~v90(constB180, bitIndex0)) <=> v129(constB180, bitIndex0))))),
% 8.48/6.40 inference(modus_ponens,[status(thm)],[22807, 22806])).
% 8.48/6.40 tff(22809,plain,
% 8.48/6.40 ((~v100(constB180)) | (~(((~v90(constB180, bitIndex2)) <=> v129(constB180, bitIndex2)) | ((~v90(constB180, bitIndex1)) <=> v129(constB180, bitIndex1)) | ((~v90(constB180, bitIndex0)) <=> v129(constB180, bitIndex0))))),
% 8.48/6.40 inference(unit_resolution,[status(thm)],[22808, 3429])).
% 8.48/6.40 tff(22810,plain,
% 8.48/6.40 (~(((~v90(constB180, bitIndex2)) <=> v129(constB180, bitIndex2)) | ((~v90(constB180, bitIndex1)) <=> v129(constB180, bitIndex1)) | ((~v90(constB180, bitIndex0)) <=> v129(constB180, bitIndex0)))),
% 8.48/6.40 inference(unit_resolution,[status(thm)],[22809, 22805])).
% 8.48/6.40 tff(22811,plain,
% 8.48/6.40 ((((~v90(constB180, bitIndex2)) <=> v129(constB180, bitIndex2)) | ((~v90(constB180, bitIndex1)) <=> v129(constB180, bitIndex1)) | ((~v90(constB180, bitIndex0)) <=> v129(constB180, bitIndex0))) | (~((~v90(constB180, bitIndex2)) <=> v129(constB180, bitIndex2)))),
% 8.48/6.40 inference(tautology,[status(thm)],[])).
% 8.48/6.40 tff(22812,plain,
% 8.48/6.40 (~((~v90(constB180, bitIndex2)) <=> v129(constB180, bitIndex2))),
% 8.48/6.40 inference(unit_resolution,[status(thm)],[22811, 22810])).
% 8.48/6.40 tff(22813,plain,
% 8.48/6.40 (((~v90(constB180, bitIndex2)) <=> v129(constB180, bitIndex2)) | (~v90(constB180, bitIndex2)) | v129(constB180, bitIndex2)),
% 8.48/6.40 inference(tautology,[status(thm)],[])).
% 8.48/6.40 tff(22814,plain,
% 8.48/6.40 (~v90(constB180, bitIndex2)),
% 8.48/6.40 inference(unit_resolution,[status(thm)],[22813, 22812, 22715])).
% 8.48/6.40 tff(22815,plain,
% 8.48/6.40 (((~v90(constB181, bitIndex2)) <=> v90(constB180, bitIndex2)) | (~v90(constB181, bitIndex2)) | v90(constB180, bitIndex2)),
% 8.48/6.40 inference(tautology,[status(thm)],[])).
% 8.48/6.40 tff(22816,plain,
% 8.48/6.40 (~v90(constB181, bitIndex2)),
% 8.48/6.40 inference(unit_resolution,[status(thm)],[22815, 22814, 15486])).
% 8.48/6.40 tff(22817,plain,
% 8.48/6.40 ((((~v90(constB181, bitIndex1)) <=> v90(constB180, bitIndex1)) | ((~v90(constB181, bitIndex2)) <=> v90(constB180, bitIndex2)) | ((~v90(constB181, bitIndex0)) <=> v90(constB180, bitIndex0))) | (~((~v90(constB181, bitIndex0)) <=> v90(constB180, bitIndex0)))),
% 8.48/6.40 inference(tautology,[status(thm)],[])).
% 8.48/6.40 tff(22818,plain,
% 8.48/6.40 (~((~v90(constB181, bitIndex0)) <=> v90(constB180, bitIndex0))),
% 8.48/6.40 inference(unit_resolution,[status(thm)],[22817, 15484])).
% 8.48/6.40 tff(22819,plain,
% 8.48/6.40 ((((~v129(constB180, bitIndex2)) <=> v127(constB179, bitIndex2)) | ((~v129(constB180, bitIndex1)) <=> v127(constB179, bitIndex1)) | ((~v129(constB180, bitIndex0)) <=> v127(constB179, bitIndex0))) | (~((~v129(constB180, bitIndex0)) <=> v127(constB179, bitIndex0)))),
% 8.48/6.40 inference(tautology,[status(thm)],[])).
% 8.48/6.40 tff(22820,plain,
% 8.48/6.40 (~((~v129(constB180, bitIndex0)) <=> v127(constB179, bitIndex0))),
% 8.48/6.40 inference(unit_resolution,[status(thm)],[22819, 15493])).
% 8.48/6.40 tff(22821,plain,
% 8.48/6.40 ((((~v127(constB179, bitIndex2)) <=> v130(constB179, bitIndex2)) | ((~v127(constB179, bitIndex1)) <=> v130(constB179, bitIndex1)) | ((~v127(constB179, bitIndex0)) <=> v130(constB179, bitIndex0))) | (~((~v127(constB179, bitIndex0)) <=> v130(constB179, bitIndex0)))),
% 8.48/6.40 inference(tautology,[status(thm)],[])).
% 8.48/6.40 tff(22822,plain,
% 8.48/6.40 (~((~v127(constB179, bitIndex0)) <=> v130(constB179, bitIndex0))),
% 8.48/6.40 inference(unit_resolution,[status(thm)],[22821, 15507])).
% 8.48/6.40 tff(22823,plain,
% 8.48/6.40 ((v130(constB179, bitIndex2) | (~v130(constB179, bitIndex1)) | (~v130(constB179, bitIndex0))) | v130(constB179, bitIndex0)),
% 8.48/6.40 inference(tautology,[status(thm)],[])).
% 8.48/6.40 tff(22824,plain,
% 8.48/6.40 (v130(constB179, bitIndex0)),
% 8.48/6.40 inference(unit_resolution,[status(thm)],[22823, 22709])).
% 8.48/6.40 tff(22825,plain,
% 8.48/6.40 (((~v127(constB179, bitIndex0)) <=> v130(constB179, bitIndex0)) | v127(constB179, bitIndex0) | (~v130(constB179, bitIndex0))),
% 8.48/6.40 inference(tautology,[status(thm)],[])).
% 8.48/6.40 tff(22826,plain,
% 8.48/6.40 (v127(constB179, bitIndex0)),
% 8.48/6.40 inference(unit_resolution,[status(thm)],[22825, 22824, 22822])).
% 8.48/6.40 tff(22827,plain,
% 8.48/6.40 (((~v129(constB180, bitIndex0)) <=> v127(constB179, bitIndex0)) | v129(constB180, bitIndex0) | (~v127(constB179, bitIndex0))),
% 8.48/6.40 inference(tautology,[status(thm)],[])).
% 8.48/6.40 tff(22828,plain,
% 8.48/6.40 (v129(constB180, bitIndex0)),
% 8.48/6.40 inference(unit_resolution,[status(thm)],[22827, 22826, 22820])).
% 8.48/6.40 tff(22829,plain,
% 8.48/6.40 ((((~v90(constB180, bitIndex2)) <=> v129(constB180, bitIndex2)) | ((~v90(constB180, bitIndex1)) <=> v129(constB180, bitIndex1)) | ((~v90(constB180, bitIndex0)) <=> v129(constB180, bitIndex0))) | (~((~v90(constB180, bitIndex0)) <=> v129(constB180, bitIndex0)))),
% 8.48/6.40 inference(tautology,[status(thm)],[])).
% 8.48/6.40 tff(22830,plain,
% 8.48/6.40 (~((~v90(constB180, bitIndex0)) <=> v129(constB180, bitIndex0))),
% 8.48/6.40 inference(unit_resolution,[status(thm)],[22829, 22810])).
% 8.48/6.40 tff(22831,plain,
% 8.48/6.40 (((~v90(constB180, bitIndex0)) <=> v129(constB180, bitIndex0)) | v90(constB180, bitIndex0) | (~v129(constB180, bitIndex0))),
% 8.48/6.40 inference(tautology,[status(thm)],[])).
% 8.48/6.40 tff(22832,plain,
% 8.48/6.40 (v90(constB180, bitIndex0)),
% 8.48/6.40 inference(unit_resolution,[status(thm)],[22831, 22830, 22828])).
% 8.48/6.40 tff(22833,plain,
% 8.48/6.40 (((~v90(constB181, bitIndex0)) <=> v90(constB180, bitIndex0)) | v90(constB181, bitIndex0) | (~v90(constB180, bitIndex0))),
% 8.48/6.40 inference(tautology,[status(thm)],[])).
% 8.48/6.40 tff(22834,plain,
% 8.48/6.40 (v90(constB181, bitIndex0)),
% 8.48/6.40 inference(unit_resolution,[status(thm)],[22833, 22832, 22818])).
% 8.48/6.40 tff(22835,plain,
% 8.48/6.40 ((((~v90(constB181, bitIndex1)) <=> v90(constB180, bitIndex1)) | ((~v90(constB181, bitIndex2)) <=> v90(constB180, bitIndex2)) | ((~v90(constB181, bitIndex0)) <=> v90(constB180, bitIndex0))) | (~((~v90(constB181, bitIndex1)) <=> v90(constB180, bitIndex1)))),
% 8.48/6.40 inference(tautology,[status(thm)],[])).
% 8.48/6.40 tff(22836,plain,
% 8.48/6.40 (~((~v90(constB181, bitIndex1)) <=> v90(constB180, bitIndex1))),
% 8.48/6.40 inference(unit_resolution,[status(thm)],[22835, 15484])).
% 8.48/6.40 tff(22837,plain,
% 8.48/6.40 ((((~v129(constB180, bitIndex2)) <=> v127(constB179, bitIndex2)) | ((~v129(constB180, bitIndex1)) <=> v127(constB179, bitIndex1)) | ((~v129(constB180, bitIndex0)) <=> v127(constB179, bitIndex0))) | (~((~v129(constB180, bitIndex1)) <=> v127(constB179, bitIndex1)))),
% 8.48/6.40 inference(tautology,[status(thm)],[])).
% 8.48/6.40 tff(22838,plain,
% 8.48/6.40 (~((~v129(constB180, bitIndex1)) <=> v127(constB179, bitIndex1))),
% 8.48/6.40 inference(unit_resolution,[status(thm)],[22837, 15493])).
% 8.48/6.40 tff(22839,plain,
% 8.48/6.40 ((((~v127(constB179, bitIndex2)) <=> v130(constB179, bitIndex2)) | ((~v127(constB179, bitIndex1)) <=> v130(constB179, bitIndex1)) | ((~v127(constB179, bitIndex0)) <=> v130(constB179, bitIndex0))) | (~((~v127(constB179, bitIndex1)) <=> v130(constB179, bitIndex1)))),
% 8.48/6.40 inference(tautology,[status(thm)],[])).
% 8.48/6.40 tff(22840,plain,
% 8.48/6.40 (~((~v127(constB179, bitIndex1)) <=> v130(constB179, bitIndex1))),
% 8.48/6.40 inference(unit_resolution,[status(thm)],[22839, 15507])).
% 8.48/6.40 tff(22841,plain,
% 8.48/6.40 ((v130(constB179, bitIndex2) | (~v130(constB179, bitIndex1)) | (~v130(constB179, bitIndex0))) | v130(constB179, bitIndex1)),
% 8.48/6.40 inference(tautology,[status(thm)],[])).
% 8.48/6.40 tff(22842,plain,
% 8.48/6.40 (v130(constB179, bitIndex1)),
% 8.48/6.40 inference(unit_resolution,[status(thm)],[22841, 22709])).
% 8.48/6.40 tff(22843,plain,
% 8.48/6.40 (((~v127(constB179, bitIndex1)) <=> v130(constB179, bitIndex1)) | v127(constB179, bitIndex1) | (~v130(constB179, bitIndex1))),
% 8.48/6.40 inference(tautology,[status(thm)],[])).
% 8.48/6.40 tff(22844,plain,
% 8.48/6.40 (v127(constB179, bitIndex1)),
% 8.48/6.40 inference(unit_resolution,[status(thm)],[22843, 22842, 22840])).
% 8.48/6.40 tff(22845,plain,
% 8.48/6.40 (((~v129(constB180, bitIndex1)) <=> v127(constB179, bitIndex1)) | v129(constB180, bitIndex1) | (~v127(constB179, bitIndex1))),
% 8.48/6.40 inference(tautology,[status(thm)],[])).
% 8.48/6.40 tff(22846,plain,
% 8.48/6.40 (v129(constB180, bitIndex1)),
% 8.48/6.40 inference(unit_resolution,[status(thm)],[22845, 22844, 22838])).
% 8.48/6.40 tff(22847,plain,
% 8.48/6.40 ((((~v90(constB180, bitIndex2)) <=> v129(constB180, bitIndex2)) | ((~v90(constB180, bitIndex1)) <=> v129(constB180, bitIndex1)) | ((~v90(constB180, bitIndex0)) <=> v129(constB180, bitIndex0))) | (~((~v90(constB180, bitIndex1)) <=> v129(constB180, bitIndex1)))),
% 8.48/6.40 inference(tautology,[status(thm)],[])).
% 8.48/6.40 tff(22848,plain,
% 8.48/6.40 (~((~v90(constB180, bitIndex1)) <=> v129(constB180, bitIndex1))),
% 8.48/6.40 inference(unit_resolution,[status(thm)],[22847, 22810])).
% 8.48/6.40 tff(22849,plain,
% 8.48/6.40 (((~v90(constB180, bitIndex1)) <=> v129(constB180, bitIndex1)) | v90(constB180, bitIndex1) | (~v129(constB180, bitIndex1))),
% 8.48/6.40 inference(tautology,[status(thm)],[])).
% 8.48/6.40 tff(22850,plain,
% 8.48/6.40 (v90(constB180, bitIndex1)),
% 8.48/6.40 inference(unit_resolution,[status(thm)],[22849, 22848, 22846])).
% 8.48/6.40 tff(22851,plain,
% 8.48/6.40 (((~v90(constB181, bitIndex1)) <=> v90(constB180, bitIndex1)) | v90(constB181, bitIndex1) | (~v90(constB180, bitIndex1))),
% 8.48/6.40 inference(tautology,[status(thm)],[])).
% 8.48/6.40 tff(22852,plain,
% 8.48/6.40 (v90(constB181, bitIndex1)),
% 8.48/6.40 inference(unit_resolution,[status(thm)],[22851, 22850, 22836])).
% 8.48/6.40 tff(22853,plain,
% 8.48/6.40 ((~(v90(constB181, bitIndex2) | (~v90(constB181, bitIndex1)) | (~v90(constB181, bitIndex0)))) | v90(constB181, bitIndex2) | (~v90(constB181, bitIndex1)) | (~v90(constB181, bitIndex0))),
% 8.48/6.40 inference(tautology,[status(thm)],[])).
% 8.48/6.40 tff(22854,plain,
% 8.48/6.40 (~(v90(constB181, bitIndex2) | (~v90(constB181, bitIndex1)) | (~v90(constB181, bitIndex0)))),
% 8.48/6.40 inference(unit_resolution,[status(thm)],[22853, 22852, 22834, 22816])).
% 8.48/6.40 tff(22855,plain,
% 8.48/6.40 ((~(v122(constB181) <=> (~(v90(constB181, bitIndex2) | (~v90(constB181, bitIndex1)) | (~v90(constB181, bitIndex0)))))) | v122(constB181) | (v90(constB181, bitIndex2) | (~v90(constB181, bitIndex1)) | (~v90(constB181, bitIndex0)))),
% 8.48/6.40 inference(tautology,[status(thm)],[])).
% 8.48/6.40 tff(22856,plain,
% 8.48/6.40 (v122(constB181)),
% 8.48/6.40 inference(unit_resolution,[status(thm)],[22855, 22854, 15450])).
% 8.48/6.40 tff(22857,plain,
% 8.48/6.40 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB181)) | (~(v130(constB181, bitIndex1) | v130(constB181, bitIndex0) | (~v130(constB181, bitIndex2)))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | (~v122(constB181)) | (~(v130(constB181, bitIndex1) | v130(constB181, bitIndex0) | (~v130(constB181, bitIndex2)))))),
% 8.48/6.40 inference(rewrite,[status(thm)],[])).
% 8.48/6.40 tff(22858,plain,
% 8.48/6.40 (((~v122(constB181)) | (~(v130(constB181, bitIndex0) | v130(constB181, bitIndex1) | (~v130(constB181, bitIndex2))))) <=> ((~v122(constB181)) | (~(v130(constB181, bitIndex1) | v130(constB181, bitIndex0) | (~v130(constB181, bitIndex2)))))),
% 8.48/6.40 inference(rewrite,[status(thm)],[])).
% 8.48/6.40 tff(22859,plain,
% 8.48/6.40 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB181)) | (~(v130(constB181, bitIndex0) | v130(constB181, bitIndex1) | (~v130(constB181, bitIndex2)))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB181)) | (~(v130(constB181, bitIndex1) | v130(constB181, bitIndex0) | (~v130(constB181, bitIndex2))))))),
% 8.48/6.40 inference(monotonicity,[status(thm)],[22858])).
% 8.48/6.40 tff(22860,plain,
% 8.48/6.40 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB181)) | (~(v130(constB181, bitIndex0) | v130(constB181, bitIndex1) | (~v130(constB181, bitIndex2)))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | (~v122(constB181)) | (~(v130(constB181, bitIndex1) | v130(constB181, bitIndex0) | (~v130(constB181, bitIndex2)))))),
% 8.48/6.40 inference(transitivity,[status(thm)],[22859, 22857])).
% 8.48/6.40 tff(22861,plain,
% 8.48/6.40 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB181)) | (~(v130(constB181, bitIndex0) | v130(constB181, bitIndex1) | (~v130(constB181, bitIndex2)))))),
% 8.48/6.40 inference(quant_inst,[status(thm)],[])).
% 8.48/6.40 tff(22862,plain,
% 8.48/6.40 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | (~v122(constB181)) | (~(v130(constB181, bitIndex1) | v130(constB181, bitIndex0) | (~v130(constB181, bitIndex2))))),
% 8.48/6.40 inference(modus_ponens,[status(thm)],[22861, 22860])).
% 8.48/6.40 tff(22863,plain,
% 8.48/6.40 ((~v122(constB181)) | (~(v130(constB181, bitIndex1) | v130(constB181, bitIndex0) | (~v130(constB181, bitIndex2))))),
% 8.48/6.40 inference(unit_resolution,[status(thm)],[22862, 4223])).
% 8.48/6.40 tff(22864,plain,
% 8.48/6.40 (~(v130(constB181, bitIndex1) | v130(constB181, bitIndex0) | (~v130(constB181, bitIndex2)))),
% 8.48/6.40 inference(unit_resolution,[status(thm)],[22863, 22856])).
% 8.48/6.40 tff(22865,plain,
% 8.48/6.40 ((v130(constB181, bitIndex1) | v130(constB181, bitIndex0) | (~v130(constB181, bitIndex2))) | v130(constB181, bitIndex2)),
% 8.48/6.40 inference(tautology,[status(thm)],[])).
% 8.48/6.40 tff(22866,plain,
% 8.48/6.40 (v130(constB181, bitIndex2)),
% 8.48/6.40 inference(unit_resolution,[status(thm)],[22865, 22864])).
% 8.48/6.40 tff(22867,plain,
% 8.48/6.40 (((~v127(constB181, bitIndex2)) <=> v130(constB181, bitIndex2)) | v127(constB181, bitIndex2) | (~v130(constB181, bitIndex2))),
% 8.48/6.40 inference(tautology,[status(thm)],[])).
% 8.48/6.40 tff(22868,plain,
% 8.48/6.40 (v127(constB181, bitIndex2)),
% 8.48/6.40 inference(unit_resolution,[status(thm)],[22867, 22866, 15443])).
% 8.48/6.40 tff(22869,plain,
% 8.48/6.40 (((~v129(constB182, bitIndex2)) <=> v127(constB181, bitIndex2)) | v129(constB182, bitIndex2) | (~v127(constB181, bitIndex2))),
% 8.48/6.40 inference(tautology,[status(thm)],[])).
% 8.48/6.40 tff(22870,plain,
% 8.48/6.40 (v129(constB182, bitIndex2)),
% 8.48/6.40 inference(unit_resolution,[status(thm)],[22869, 22868, 15429])).
% 8.48/6.40 tff(22871,plain,
% 8.48/6.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB181, constB182)) | (v100(constB182) <=> (~((~v101(constB182)) | (~v110(constB182))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB181, constB182)) | (v100(constB182) <=> (~((~v101(constB182)) | (~v110(constB182))))))),
% 8.48/6.40 inference(rewrite,[status(thm)],[])).
% 8.48/6.40 tff(22872,plain,
% 8.48/6.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB181, constB182)) | (v100(constB182) <=> (~((~v101(constB182)) | (~v110(constB182))))))),
% 8.48/6.40 inference(quant_inst,[status(thm)],[])).
% 8.48/6.40 tff(22873,plain,
% 8.48/6.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB181, constB182)) | (v100(constB182) <=> (~((~v101(constB182)) | (~v110(constB182)))))),
% 8.48/6.40 inference(modus_ponens,[status(thm)],[22872, 22871])).
% 8.48/6.40 tff(22874,plain,
% 8.48/6.40 (v100(constB182) <=> (~((~v101(constB182)) | (~v110(constB182))))),
% 8.48/6.40 inference(unit_resolution,[status(thm)],[22873, 15423, 445])).
% 8.48/6.40 tff(22875,plain,
% 8.48/6.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB181, constB182)) | (v101(constB182) <=> (~((~v1(constB182)) | (~v102(constB182))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB181, constB182)) | (v101(constB182) <=> (~((~v1(constB182)) | (~v102(constB182))))))),
% 8.48/6.40 inference(rewrite,[status(thm)],[])).
% 8.48/6.40 tff(22876,plain,
% 8.48/6.40 (((~nextState(constB181, constB182)) | (v101(constB182) <=> (~((~v102(constB182)) | (~v1(constB182)))))) <=> ((~nextState(constB181, constB182)) | (v101(constB182) <=> (~((~v1(constB182)) | (~v102(constB182))))))),
% 8.48/6.40 inference(rewrite,[status(thm)],[])).
% 8.48/6.40 tff(22877,plain,
% 8.48/6.40 (((~![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) <=> (~((~v1(constB182)) | (~v102(constB182)))))))),
% 8.48/6.40 inference(monotonicity,[status(thm)],[22876])).
% 8.48/6.40 tff(22878,plain,
% 8.48/6.40 (((~![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) <=> (~((~v1(constB182)) | (~v102(constB182))))))),
% 8.48/6.40 inference(transitivity,[status(thm)],[22877, 22875])).
% 8.48/6.40 tff(22879,plain,
% 8.48/6.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB181, constB182)) | (v101(constB182) <=> (~((~v102(constB182)) | (~v1(constB182))))))),
% 8.48/6.40 inference(quant_inst,[status(thm)],[])).
% 8.48/6.40 tff(22880,plain,
% 8.48/6.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB181, constB182)) | (v101(constB182) <=> (~((~v1(constB182)) | (~v102(constB182)))))),
% 8.48/6.40 inference(modus_ponens,[status(thm)],[22879, 22878])).
% 8.48/6.40 tff(22881,plain,
% 8.48/6.40 (v101(constB182) <=> (~((~v1(constB182)) | (~v102(constB182))))),
% 8.48/6.40 inference(unit_resolution,[status(thm)],[22880, 15423, 465])).
% 8.48/6.40 tff(22882,plain,
% 8.48/6.40 (((~![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)))),
% 8.48/6.41 inference(rewrite,[status(thm)],[])).
% 8.48/6.41 tff(22883,plain,
% 8.48/6.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB181, constB182)) | ((~v102(constB182)) <=> v104(constB182)))),
% 8.48/6.41 inference(quant_inst,[status(thm)],[])).
% 8.48/6.41 tff(22884,plain,
% 8.48/6.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB181, constB182)) | ((~v102(constB182)) <=> v104(constB182))),
% 8.48/6.41 inference(modus_ponens,[status(thm)],[22883, 22882])).
% 8.48/6.41 tff(22885,plain,
% 8.48/6.41 ((~v102(constB182)) <=> v104(constB182)),
% 8.48/6.41 inference(unit_resolution,[status(thm)],[22884, 15423, 3244])).
% 8.48/6.41 tff(22886,plain,
% 8.48/6.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB181, constB182)) | (v104(constB182) <=> v1(constB181)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB181, constB182)) | (v104(constB182) <=> v1(constB181)))),
% 8.48/6.41 inference(rewrite,[status(thm)],[])).
% 8.48/6.41 tff(22887,plain,
% 8.48/6.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB181, constB182)) | (v104(constB182) <=> v1(constB181)))),
% 8.48/6.41 inference(quant_inst,[status(thm)],[])).
% 8.48/6.41 tff(22888,plain,
% 8.48/6.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB181, constB182)) | (v104(constB182) <=> v1(constB181))),
% 8.48/6.41 inference(modus_ponens,[status(thm)],[22887, 22886])).
% 8.48/6.41 tff(22889,plain,
% 8.48/6.41 (v104(constB182) <=> v1(constB181)),
% 8.48/6.41 inference(unit_resolution,[status(thm)],[22888, 15423, 3258])).
% 8.48/6.41 tff(22890,plain,
% 8.48/6.41 ((~(v104(constB182) <=> v1(constB181))) | (~v104(constB182)) | v1(constB181)),
% 8.48/6.41 inference(tautology,[status(thm)],[])).
% 8.48/6.41 tff(22891,plain,
% 8.48/6.41 ((~(v104(constB182) <=> v1(constB181))) | (~v104(constB182))),
% 8.48/6.41 inference(unit_resolution,[status(thm)],[22890, 15467])).
% 8.48/6.41 tff(22892,plain,
% 8.48/6.41 (~v104(constB182)),
% 8.48/6.41 inference(unit_resolution,[status(thm)],[22891, 22889])).
% 8.48/6.41 tff(22893,plain,
% 8.48/6.41 ((~((~v102(constB182)) <=> v104(constB182))) | v102(constB182) | v104(constB182)),
% 8.48/6.41 inference(tautology,[status(thm)],[])).
% 8.48/6.41 tff(22894,plain,
% 8.48/6.41 (v102(constB182)),
% 8.48/6.41 inference(unit_resolution,[status(thm)],[22893, 22892, 22885])).
% 8.48/6.41 tff(22895,plain,
% 8.48/6.41 (v1(constB182) <=> v1(constB182)),
% 8.48/6.41 inference(rewrite,[status(thm)],[])).
% 8.48/6.41 tff(22896,axiom,(v1(constB182)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_182')).
% 8.48/6.41 tff(22897,plain,
% 8.48/6.41 (v1(constB182)),
% 8.48/6.41 inference(modus_ponens,[status(thm)],[22896, 22895])).
% 8.48/6.41 tff(22898,plain,
% 8.48/6.41 ((~((~v1(constB182)) | (~v102(constB182)))) | (~v1(constB182)) | (~v102(constB182))),
% 8.48/6.41 inference(tautology,[status(thm)],[])).
% 8.48/6.41 tff(22899,plain,
% 8.48/6.41 ((~((~v1(constB182)) | (~v102(constB182)))) | (~v102(constB182))),
% 8.48/6.41 inference(unit_resolution,[status(thm)],[22898, 22897])).
% 8.48/6.41 tff(22900,plain,
% 8.48/6.41 (~((~v1(constB182)) | (~v102(constB182)))),
% 8.48/6.41 inference(unit_resolution,[status(thm)],[22899, 22894])).
% 8.48/6.41 tff(22901,plain,
% 8.48/6.41 ((~(v101(constB182) <=> (~((~v1(constB182)) | (~v102(constB182)))))) | v101(constB182) | ((~v1(constB182)) | (~v102(constB182)))),
% 8.48/6.41 inference(tautology,[status(thm)],[])).
% 8.48/6.41 tff(22902,plain,
% 8.48/6.41 (v101(constB182)),
% 8.48/6.41 inference(unit_resolution,[status(thm)],[22901, 22900, 22881])).
% 8.48/6.41 tff(22903,plain,
% 8.48/6.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB181, constB182)) | (v110(constB182) <=> v108(constB181)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB181, constB182)) | (v110(constB182) <=> v108(constB181)))),
% 8.48/6.41 inference(rewrite,[status(thm)],[])).
% 8.48/6.41 tff(22904,plain,
% 8.48/6.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB181, constB182)) | (v110(constB182) <=> v108(constB181)))),
% 8.48/6.41 inference(quant_inst,[status(thm)],[])).
% 8.48/6.41 tff(22905,plain,
% 8.48/6.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB181, constB182)) | (v110(constB182) <=> v108(constB181))),
% 8.48/6.41 inference(modus_ponens,[status(thm)],[22904, 22903])).
% 8.48/6.41 tff(22906,plain,
% 8.48/6.41 (v110(constB182) <=> v108(constB181)),
% 8.48/6.41 inference(unit_resolution,[status(thm)],[22905, 15423, 3285])).
% 8.48/6.41 tff(22907,plain,
% 8.48/6.41 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB181) <=> (v111(constB181) | v112(constB181)))),
% 8.48/6.41 inference(quant_inst,[status(thm)],[])).
% 8.48/6.41 tff(22908,plain,
% 8.48/6.41 (v108(constB181) <=> (v111(constB181) | v112(constB181))),
% 8.48/6.41 inference(unit_resolution,[status(thm)],[22907, 3296])).
% 8.48/6.41 tff(22909,plain,
% 8.48/6.41 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB181) <=> (~((~v113(constB181)) | (~v126(constB181)))))),
% 8.48/6.41 inference(quant_inst,[status(thm)],[])).
% 8.48/6.41 tff(22910,plain,
% 8.48/6.41 (v112(constB181) <=> (~((~v113(constB181)) | (~v126(constB181))))),
% 8.48/6.41 inference(unit_resolution,[status(thm)],[22909, 3308])).
% 8.48/6.41 tff(22911,plain,
% 8.48/6.41 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB181) <=> (v114(constB181) | v125(constB181)))),
% 8.48/6.41 inference(quant_inst,[status(thm)],[])).
% 8.48/6.41 tff(22912,plain,
% 8.48/6.41 (v113(constB181) <=> (v114(constB181) | v125(constB181))),
% 8.48/6.41 inference(unit_resolution,[status(thm)],[22911, 3317])).
% 8.48/6.41 tff(22913,plain,
% 8.48/6.41 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB181) <=> (v115(constB181) | v124(constB181)))),
% 8.48/6.41 inference(quant_inst,[status(thm)],[])).
% 8.48/6.41 tff(22914,plain,
% 8.48/6.41 (v114(constB181) <=> (v115(constB181) | v124(constB181))),
% 8.48/6.41 inference(unit_resolution,[status(thm)],[22913, 3326])).
% 8.48/6.41 tff(22915,plain,
% 8.48/6.41 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB181) <=> (v116(constB181) | v123(constB181)))),
% 8.48/6.41 inference(quant_inst,[status(thm)],[])).
% 8.48/6.41 tff(22916,plain,
% 8.48/6.41 (v115(constB181) <=> (v116(constB181) | v123(constB181))),
% 8.48/6.41 inference(unit_resolution,[status(thm)],[22915, 3335])).
% 8.48/6.41 tff(22917,plain,
% 8.48/6.41 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB181) <=> (v117(constB181) | v122(constB181)))),
% 8.48/6.41 inference(quant_inst,[status(thm)],[])).
% 8.48/6.41 tff(22918,plain,
% 8.48/6.41 (v116(constB181) <=> (v117(constB181) | v122(constB181))),
% 8.48/6.41 inference(unit_resolution,[status(thm)],[22917, 3344])).
% 8.48/6.41 tff(22919,plain,
% 8.48/6.41 ((v117(constB181) | v122(constB181)) | (~v122(constB181))),
% 8.48/6.41 inference(tautology,[status(thm)],[])).
% 8.48/6.41 tff(22920,plain,
% 8.48/6.41 (v117(constB181) | v122(constB181)),
% 8.48/6.41 inference(unit_resolution,[status(thm)],[22919, 22856])).
% 8.48/6.41 tff(22921,plain,
% 8.48/6.41 ((~(v116(constB181) <=> (v117(constB181) | v122(constB181)))) | v116(constB181) | (~(v117(constB181) | v122(constB181)))),
% 8.48/6.41 inference(tautology,[status(thm)],[])).
% 8.48/6.41 tff(22922,plain,
% 8.48/6.41 (v116(constB181)),
% 8.48/6.41 inference(unit_resolution,[status(thm)],[22921, 22920, 22918])).
% 8.48/6.41 tff(22923,plain,
% 8.48/6.41 ((v116(constB181) | v123(constB181)) | (~v116(constB181))),
% 8.48/6.41 inference(tautology,[status(thm)],[])).
% 8.48/6.41 tff(22924,plain,
% 8.48/6.41 (v116(constB181) | v123(constB181)),
% 8.48/6.41 inference(unit_resolution,[status(thm)],[22923, 22922])).
% 8.48/6.41 tff(22925,plain,
% 8.48/6.41 ((~(v115(constB181) <=> (v116(constB181) | v123(constB181)))) | v115(constB181) | (~(v116(constB181) | v123(constB181)))),
% 8.48/6.41 inference(tautology,[status(thm)],[])).
% 8.48/6.41 tff(22926,plain,
% 8.48/6.41 (v115(constB181)),
% 8.48/6.41 inference(unit_resolution,[status(thm)],[22925, 22924, 22916])).
% 8.48/6.41 tff(22927,plain,
% 8.48/6.41 ((v115(constB181) | v124(constB181)) | (~v115(constB181))),
% 8.48/6.41 inference(tautology,[status(thm)],[])).
% 8.48/6.41 tff(22928,plain,
% 8.48/6.41 (v115(constB181) | v124(constB181)),
% 8.48/6.41 inference(unit_resolution,[status(thm)],[22927, 22926])).
% 8.48/6.41 tff(22929,plain,
% 8.48/6.41 ((~(v114(constB181) <=> (v115(constB181) | v124(constB181)))) | v114(constB181) | (~(v115(constB181) | v124(constB181)))),
% 8.48/6.41 inference(tautology,[status(thm)],[])).
% 8.48/6.41 tff(22930,plain,
% 8.48/6.41 (v114(constB181)),
% 8.48/6.41 inference(unit_resolution,[status(thm)],[22929, 22928, 22914])).
% 8.48/6.41 tff(22931,plain,
% 8.48/6.41 ((v114(constB181) | v125(constB181)) | (~v114(constB181))),
% 8.48/6.41 inference(tautology,[status(thm)],[])).
% 8.48/6.41 tff(22932,plain,
% 8.48/6.41 (v114(constB181) | v125(constB181)),
% 8.48/6.41 inference(unit_resolution,[status(thm)],[22931, 22930])).
% 8.48/6.41 tff(22933,plain,
% 8.48/6.41 ((~(v113(constB181) <=> (v114(constB181) | v125(constB181)))) | v113(constB181) | (~(v114(constB181) | v125(constB181)))),
% 8.48/6.41 inference(tautology,[status(thm)],[])).
% 8.48/6.41 tff(22934,plain,
% 8.48/6.41 (v113(constB181)),
% 8.48/6.41 inference(unit_resolution,[status(thm)],[22933, 22932, 22912])).
% 8.48/6.41 tff(22935,plain,
% 8.48/6.41 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB181)) <=> v111(constB181))),
% 8.48/6.41 inference(quant_inst,[status(thm)],[])).
% 8.48/6.41 tff(22936,plain,
% 8.48/6.41 ((~v126(constB181)) <=> v111(constB181)),
% 8.48/6.41 inference(unit_resolution,[status(thm)],[22935, 3396])).
% 8.48/6.41 tff(22937,plain,
% 8.48/6.41 ((~((~v126(constB181)) <=> v111(constB181))) | v126(constB181) | v111(constB181)),
% 8.48/6.41 inference(tautology,[status(thm)],[])).
% 8.48/6.41 tff(22938,plain,
% 8.48/6.41 ((~((~v126(constB181)) <=> v111(constB181))) | v126(constB181)),
% 8.48/6.41 inference(unit_resolution,[status(thm)],[22937, 15436])).
% 8.48/6.41 tff(22939,plain,
% 8.48/6.41 (v126(constB181)),
% 8.48/6.41 inference(unit_resolution,[status(thm)],[22938, 22936])).
% 8.48/6.41 tff(22940,plain,
% 8.48/6.41 ((~((~v113(constB181)) | (~v126(constB181)))) | (~v113(constB181)) | (~v126(constB181))),
% 8.48/6.41 inference(tautology,[status(thm)],[])).
% 8.48/6.41 tff(22941,plain,
% 8.48/6.41 ((~((~v113(constB181)) | (~v126(constB181)))) | (~v113(constB181))),
% 8.48/6.41 inference(unit_resolution,[status(thm)],[22940, 22939])).
% 8.48/6.41 tff(22942,plain,
% 8.48/6.41 (~((~v113(constB181)) | (~v126(constB181)))),
% 8.48/6.41 inference(unit_resolution,[status(thm)],[22941, 22934])).
% 8.48/6.41 tff(22943,plain,
% 8.48/6.41 ((~(v112(constB181) <=> (~((~v113(constB181)) | (~v126(constB181)))))) | v112(constB181) | ((~v113(constB181)) | (~v126(constB181)))),
% 8.48/6.41 inference(tautology,[status(thm)],[])).
% 8.48/6.41 tff(22944,plain,
% 8.48/6.41 (v112(constB181)),
% 8.48/6.41 inference(unit_resolution,[status(thm)],[22943, 22942, 22910])).
% 8.48/6.41 tff(22945,plain,
% 8.48/6.41 ((v111(constB181) | v112(constB181)) | (~v112(constB181))),
% 8.48/6.41 inference(tautology,[status(thm)],[])).
% 8.48/6.41 tff(22946,plain,
% 8.48/6.41 (v111(constB181) | v112(constB181)),
% 8.48/6.41 inference(unit_resolution,[status(thm)],[22945, 22944])).
% 8.48/6.41 tff(22947,plain,
% 8.48/6.41 ((~(v108(constB181) <=> (v111(constB181) | v112(constB181)))) | v108(constB181) | (~(v111(constB181) | v112(constB181)))),
% 8.48/6.41 inference(tautology,[status(thm)],[])).
% 8.48/6.41 tff(22948,plain,
% 8.48/6.41 (v108(constB181)),
% 8.48/6.41 inference(unit_resolution,[status(thm)],[22947, 22946, 22908])).
% 8.48/6.41 tff(22949,plain,
% 8.48/6.41 ((~(v110(constB182) <=> v108(constB181))) | v110(constB182) | (~v108(constB181))),
% 8.48/6.41 inference(tautology,[status(thm)],[])).
% 8.48/6.41 tff(22950,plain,
% 8.48/6.41 (v110(constB182)),
% 8.48/6.41 inference(unit_resolution,[status(thm)],[22949, 22948, 22906])).
% 8.48/6.41 tff(22951,plain,
% 8.48/6.41 ((~((~v101(constB182)) | (~v110(constB182)))) | (~v101(constB182)) | (~v110(constB182))),
% 8.48/6.41 inference(tautology,[status(thm)],[])).
% 8.48/6.41 tff(22952,plain,
% 8.48/6.41 (~((~v101(constB182)) | (~v110(constB182)))),
% 8.48/6.41 inference(unit_resolution,[status(thm)],[22951, 22950, 22902])).
% 8.48/6.41 tff(22953,plain,
% 8.48/6.41 ((~(v100(constB182) <=> (~((~v101(constB182)) | (~v110(constB182)))))) | v100(constB182) | ((~v101(constB182)) | (~v110(constB182)))),
% 8.48/6.41 inference(tautology,[status(thm)],[])).
% 8.48/6.41 tff(22954,plain,
% 8.48/6.41 (v100(constB182)),
% 8.48/6.41 inference(unit_resolution,[status(thm)],[22953, 22952, 22874])).
% 8.48/6.41 tff(22955,plain,
% 8.48/6.41 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB182)) | (~(((~v90(constB182, bitIndex0)) <=> v129(constB182, bitIndex0)) | ((~v90(constB182, bitIndex2)) <=> v129(constB182, bitIndex2)) | ((~v90(constB182, bitIndex1)) <=> v129(constB182, bitIndex1)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB182)) | (~(((~v90(constB182, bitIndex0)) <=> v129(constB182, bitIndex0)) | ((~v90(constB182, bitIndex2)) <=> v129(constB182, bitIndex2)) | ((~v90(constB182, bitIndex1)) <=> v129(constB182, bitIndex1)))))),
% 8.48/6.41 inference(rewrite,[status(thm)],[])).
% 8.48/6.41 tff(22956,plain,
% 8.48/6.41 (((~v100(constB182)) | (~(((~v90(constB182, bitIndex2)) <=> v129(constB182, bitIndex2)) | ((~v90(constB182, bitIndex1)) <=> v129(constB182, bitIndex1)) | ((~v90(constB182, bitIndex0)) <=> v129(constB182, bitIndex0))))) <=> ((~v100(constB182)) | (~(((~v90(constB182, bitIndex0)) <=> v129(constB182, bitIndex0)) | ((~v90(constB182, bitIndex2)) <=> v129(constB182, bitIndex2)) | ((~v90(constB182, bitIndex1)) <=> v129(constB182, bitIndex1)))))),
% 8.48/6.41 inference(rewrite,[status(thm)],[])).
% 8.48/6.41 tff(22957,plain,
% 8.48/6.41 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB182)) | (~(((~v90(constB182, bitIndex2)) <=> v129(constB182, bitIndex2)) | ((~v90(constB182, bitIndex1)) <=> v129(constB182, bitIndex1)) | ((~v90(constB182, bitIndex0)) <=> v129(constB182, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB182)) | (~(((~v90(constB182, bitIndex0)) <=> v129(constB182, bitIndex0)) | ((~v90(constB182, bitIndex2)) <=> v129(constB182, bitIndex2)) | ((~v90(constB182, bitIndex1)) <=> v129(constB182, bitIndex1))))))),
% 8.48/6.41 inference(monotonicity,[status(thm)],[22956])).
% 8.48/6.41 tff(22958,plain,
% 8.48/6.41 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB182)) | (~(((~v90(constB182, bitIndex2)) <=> v129(constB182, bitIndex2)) | ((~v90(constB182, bitIndex1)) <=> v129(constB182, bitIndex1)) | ((~v90(constB182, bitIndex0)) <=> v129(constB182, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB182)) | (~(((~v90(constB182, bitIndex0)) <=> v129(constB182, bitIndex0)) | ((~v90(constB182, bitIndex2)) <=> v129(constB182, bitIndex2)) | ((~v90(constB182, bitIndex1)) <=> v129(constB182, bitIndex1)))))),
% 8.48/6.41 inference(transitivity,[status(thm)],[22957, 22955])).
% 8.48/6.41 tff(22959,plain,
% 8.48/6.41 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB182)) | (~(((~v90(constB182, bitIndex2)) <=> v129(constB182, bitIndex2)) | ((~v90(constB182, bitIndex1)) <=> v129(constB182, bitIndex1)) | ((~v90(constB182, bitIndex0)) <=> v129(constB182, bitIndex0)))))),
% 8.48/6.41 inference(quant_inst,[status(thm)],[])).
% 8.48/6.41 tff(22960,plain,
% 8.48/6.41 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB182)) | (~(((~v90(constB182, bitIndex0)) <=> v129(constB182, bitIndex0)) | ((~v90(constB182, bitIndex2)) <=> v129(constB182, bitIndex2)) | ((~v90(constB182, bitIndex1)) <=> v129(constB182, bitIndex1))))),
% 8.48/6.41 inference(modus_ponens,[status(thm)],[22959, 22958])).
% 8.48/6.41 tff(22961,plain,
% 8.48/6.41 ((~v100(constB182)) | (~(((~v90(constB182, bitIndex0)) <=> v129(constB182, bitIndex0)) | ((~v90(constB182, bitIndex2)) <=> v129(constB182, bitIndex2)) | ((~v90(constB182, bitIndex1)) <=> v129(constB182, bitIndex1))))),
% 8.48/6.41 inference(unit_resolution,[status(thm)],[22960, 3429])).
% 8.48/6.41 tff(22962,plain,
% 8.48/6.41 (~(((~v90(constB182, bitIndex0)) <=> v129(constB182, bitIndex0)) | ((~v90(constB182, bitIndex2)) <=> v129(constB182, bitIndex2)) | ((~v90(constB182, bitIndex1)) <=> v129(constB182, bitIndex1)))),
% 8.48/6.41 inference(unit_resolution,[status(thm)],[22961, 22954])).
% 8.48/6.41 tff(22963,plain,
% 8.48/6.41 ((((~v90(constB182, bitIndex0)) <=> v129(constB182, bitIndex0)) | ((~v90(constB182, bitIndex2)) <=> v129(constB182, bitIndex2)) | ((~v90(constB182, bitIndex1)) <=> v129(constB182, bitIndex1))) | (~((~v90(constB182, bitIndex2)) <=> v129(constB182, bitIndex2)))),
% 8.48/6.41 inference(tautology,[status(thm)],[])).
% 8.48/6.41 tff(22964,plain,
% 8.48/6.41 (~((~v90(constB182, bitIndex2)) <=> v129(constB182, bitIndex2))),
% 8.48/6.41 inference(unit_resolution,[status(thm)],[22963, 22962])).
% 8.48/6.41 tff(22965,plain,
% 8.48/6.41 (((~v90(constB182, bitIndex2)) <=> v129(constB182, bitIndex2)) | v90(constB182, bitIndex2) | (~v129(constB182, bitIndex2))),
% 8.48/6.41 inference(tautology,[status(thm)],[])).
% 8.48/6.41 tff(22966,plain,
% 8.48/6.41 (v90(constB182, bitIndex2)),
% 8.48/6.41 inference(unit_resolution,[status(thm)],[22965, 22964, 22870])).
% 8.48/6.41 tff(22967,plain,
% 8.48/6.41 (((~v90(constB183, bitIndex2)) <=> v90(constB182, bitIndex2)) | v90(constB183, bitIndex2) | (~v90(constB182, bitIndex2))),
% 8.48/6.41 inference(tautology,[status(thm)],[])).
% 8.48/6.41 tff(22968,plain,
% 8.48/6.41 (v90(constB183, bitIndex2)),
% 8.48/6.41 inference(unit_resolution,[status(thm)],[22967, 22966, 15420])).
% 8.48/6.41 tff(22969,plain,
% 8.48/6.41 ((((~v90(constB183, bitIndex1)) <=> v90(constB182, bitIndex1)) | ((~v90(constB183, bitIndex2)) <=> v90(constB182, bitIndex2)) | ((~v90(constB183, bitIndex0)) <=> v90(constB182, bitIndex0))) | (~((~v90(constB183, bitIndex0)) <=> v90(constB182, bitIndex0)))),
% 8.48/6.41 inference(tautology,[status(thm)],[])).
% 8.48/6.41 tff(22970,plain,
% 8.48/6.41 (~((~v90(constB183, bitIndex0)) <=> v90(constB182, bitIndex0))),
% 8.48/6.41 inference(unit_resolution,[status(thm)],[22969, 15418])).
% 8.48/6.41 tff(22971,plain,
% 8.48/6.41 ((((~v129(constB182, bitIndex2)) <=> v127(constB181, bitIndex2)) | ((~v129(constB182, bitIndex1)) <=> v127(constB181, bitIndex1)) | ((~v129(constB182, bitIndex0)) <=> v127(constB181, bitIndex0))) | (~((~v129(constB182, bitIndex0)) <=> v127(constB181, bitIndex0)))),
% 8.48/6.41 inference(tautology,[status(thm)],[])).
% 8.48/6.41 tff(22972,plain,
% 8.48/6.41 (~((~v129(constB182, bitIndex0)) <=> v127(constB181, bitIndex0))),
% 8.48/6.41 inference(unit_resolution,[status(thm)],[22971, 15427])).
% 8.48/6.41 tff(22973,plain,
% 8.48/6.41 ((((~v127(constB181, bitIndex2)) <=> v130(constB181, bitIndex2)) | ((~v127(constB181, bitIndex1)) <=> v130(constB181, bitIndex1)) | ((~v127(constB181, bitIndex0)) <=> v130(constB181, bitIndex0))) | (~((~v127(constB181, bitIndex0)) <=> v130(constB181, bitIndex0)))),
% 8.48/6.41 inference(tautology,[status(thm)],[])).
% 8.48/6.41 tff(22974,plain,
% 8.48/6.41 (~((~v127(constB181, bitIndex0)) <=> v130(constB181, bitIndex0))),
% 8.48/6.41 inference(unit_resolution,[status(thm)],[22973, 15441])).
% 8.48/6.41 tff(22975,plain,
% 8.48/6.41 ((v130(constB181, bitIndex1) | v130(constB181, bitIndex0) | (~v130(constB181, bitIndex2))) | (~v130(constB181, bitIndex0))),
% 8.48/6.41 inference(tautology,[status(thm)],[])).
% 8.48/6.41 tff(22976,plain,
% 8.48/6.41 (~v130(constB181, bitIndex0)),
% 8.48/6.41 inference(unit_resolution,[status(thm)],[22975, 22864])).
% 8.48/6.41 tff(22977,plain,
% 8.48/6.41 (((~v127(constB181, bitIndex0)) <=> v130(constB181, bitIndex0)) | (~v127(constB181, bitIndex0)) | v130(constB181, bitIndex0)),
% 8.48/6.41 inference(tautology,[status(thm)],[])).
% 8.48/6.41 tff(22978,plain,
% 8.48/6.41 (~v127(constB181, bitIndex0)),
% 8.48/6.41 inference(unit_resolution,[status(thm)],[22977, 22976, 22974])).
% 8.48/6.41 tff(22979,plain,
% 8.48/6.41 (((~v129(constB182, bitIndex0)) <=> v127(constB181, bitIndex0)) | (~v129(constB182, bitIndex0)) | v127(constB181, bitIndex0)),
% 8.48/6.41 inference(tautology,[status(thm)],[])).
% 8.48/6.41 tff(22980,plain,
% 8.48/6.41 (~v129(constB182, bitIndex0)),
% 8.48/6.41 inference(unit_resolution,[status(thm)],[22979, 22978, 22972])).
% 8.48/6.41 tff(22981,plain,
% 8.48/6.41 ((((~v90(constB182, bitIndex0)) <=> v129(constB182, bitIndex0)) | ((~v90(constB182, bitIndex2)) <=> v129(constB182, bitIndex2)) | ((~v90(constB182, bitIndex1)) <=> v129(constB182, bitIndex1))) | (~((~v90(constB182, bitIndex0)) <=> v129(constB182, bitIndex0)))),
% 8.48/6.41 inference(tautology,[status(thm)],[])).
% 8.48/6.41 tff(22982,plain,
% 8.48/6.41 (~((~v90(constB182, bitIndex0)) <=> v129(constB182, bitIndex0))),
% 8.48/6.41 inference(unit_resolution,[status(thm)],[22981, 22962])).
% 8.48/6.41 tff(22983,plain,
% 8.48/6.41 (((~v90(constB182, bitIndex0)) <=> v129(constB182, bitIndex0)) | (~v90(constB182, bitIndex0)) | v129(constB182, bitIndex0)),
% 8.48/6.41 inference(tautology,[status(thm)],[])).
% 8.48/6.41 tff(22984,plain,
% 8.48/6.41 (~v90(constB182, bitIndex0)),
% 8.48/6.41 inference(unit_resolution,[status(thm)],[22983, 22982, 22980])).
% 8.48/6.41 tff(22985,plain,
% 8.48/6.41 (((~v90(constB183, bitIndex0)) <=> v90(constB182, bitIndex0)) | (~v90(constB183, bitIndex0)) | v90(constB182, bitIndex0)),
% 8.48/6.41 inference(tautology,[status(thm)],[])).
% 8.48/6.41 tff(22986,plain,
% 8.48/6.41 (~v90(constB183, bitIndex0)),
% 8.48/6.41 inference(unit_resolution,[status(thm)],[22985, 22984, 22970])).
% 8.48/6.41 tff(22987,plain,
% 8.48/6.41 ((((~v90(constB183, bitIndex1)) <=> v90(constB182, bitIndex1)) | ((~v90(constB183, bitIndex2)) <=> v90(constB182, bitIndex2)) | ((~v90(constB183, bitIndex0)) <=> v90(constB182, bitIndex0))) | (~((~v90(constB183, bitIndex1)) <=> v90(constB182, bitIndex1)))),
% 8.48/6.41 inference(tautology,[status(thm)],[])).
% 8.48/6.41 tff(22988,plain,
% 8.48/6.41 (~((~v90(constB183, bitIndex1)) <=> v90(constB182, bitIndex1))),
% 8.48/6.41 inference(unit_resolution,[status(thm)],[22987, 15418])).
% 8.48/6.41 tff(22989,plain,
% 8.48/6.41 ((((~v129(constB182, bitIndex2)) <=> v127(constB181, bitIndex2)) | ((~v129(constB182, bitIndex1)) <=> v127(constB181, bitIndex1)) | ((~v129(constB182, bitIndex0)) <=> v127(constB181, bitIndex0))) | (~((~v129(constB182, bitIndex1)) <=> v127(constB181, bitIndex1)))),
% 8.48/6.41 inference(tautology,[status(thm)],[])).
% 8.48/6.41 tff(22990,plain,
% 8.48/6.41 (~((~v129(constB182, bitIndex1)) <=> v127(constB181, bitIndex1))),
% 8.48/6.41 inference(unit_resolution,[status(thm)],[22989, 15427])).
% 8.48/6.41 tff(22991,plain,
% 8.48/6.41 ((((~v127(constB181, bitIndex2)) <=> v130(constB181, bitIndex2)) | ((~v127(constB181, bitIndex1)) <=> v130(constB181, bitIndex1)) | ((~v127(constB181, bitIndex0)) <=> v130(constB181, bitIndex0))) | (~((~v127(constB181, bitIndex1)) <=> v130(constB181, bitIndex1)))),
% 8.48/6.41 inference(tautology,[status(thm)],[])).
% 8.48/6.41 tff(22992,plain,
% 8.48/6.41 (~((~v127(constB181, bitIndex1)) <=> v130(constB181, bitIndex1))),
% 8.48/6.41 inference(unit_resolution,[status(thm)],[22991, 15441])).
% 8.48/6.41 tff(22993,plain,
% 8.48/6.41 ((v130(constB181, bitIndex1) | v130(constB181, bitIndex0) | (~v130(constB181, bitIndex2))) | (~v130(constB181, bitIndex1))),
% 8.48/6.41 inference(tautology,[status(thm)],[])).
% 8.48/6.41 tff(22994,plain,
% 8.48/6.41 (~v130(constB181, bitIndex1)),
% 8.48/6.41 inference(unit_resolution,[status(thm)],[22993, 22864])).
% 8.48/6.41 tff(22995,plain,
% 8.48/6.41 (((~v127(constB181, bitIndex1)) <=> v130(constB181, bitIndex1)) | (~v127(constB181, bitIndex1)) | v130(constB181, bitIndex1)),
% 8.48/6.41 inference(tautology,[status(thm)],[])).
% 8.48/6.41 tff(22996,plain,
% 8.48/6.41 (~v127(constB181, bitIndex1)),
% 8.48/6.41 inference(unit_resolution,[status(thm)],[22995, 22994, 22992])).
% 8.48/6.41 tff(22997,plain,
% 8.48/6.41 (((~v129(constB182, bitIndex1)) <=> v127(constB181, bitIndex1)) | (~v129(constB182, bitIndex1)) | v127(constB181, bitIndex1)),
% 8.48/6.41 inference(tautology,[status(thm)],[])).
% 8.48/6.41 tff(22998,plain,
% 8.48/6.41 (~v129(constB182, bitIndex1)),
% 8.48/6.41 inference(unit_resolution,[status(thm)],[22997, 22996, 22990])).
% 8.48/6.41 tff(22999,plain,
% 8.48/6.41 ((((~v90(constB182, bitIndex0)) <=> v129(constB182, bitIndex0)) | ((~v90(constB182, bitIndex2)) <=> v129(constB182, bitIndex2)) | ((~v90(constB182, bitIndex1)) <=> v129(constB182, bitIndex1))) | (~((~v90(constB182, bitIndex1)) <=> v129(constB182, bitIndex1)))),
% 8.48/6.41 inference(tautology,[status(thm)],[])).
% 8.48/6.41 tff(23000,plain,
% 8.48/6.41 (~((~v90(constB182, bitIndex1)) <=> v129(constB182, bitIndex1))),
% 8.48/6.41 inference(unit_resolution,[status(thm)],[22999, 22962])).
% 8.48/6.41 tff(23001,plain,
% 8.48/6.41 (((~v90(constB182, bitIndex1)) <=> v129(constB182, bitIndex1)) | (~v90(constB182, bitIndex1)) | v129(constB182, bitIndex1)),
% 8.48/6.41 inference(tautology,[status(thm)],[])).
% 8.48/6.41 tff(23002,plain,
% 8.48/6.41 (~v90(constB182, bitIndex1)),
% 8.48/6.41 inference(unit_resolution,[status(thm)],[23001, 23000, 22998])).
% 8.48/6.41 tff(23003,plain,
% 8.48/6.41 (((~v90(constB183, bitIndex1)) <=> v90(constB182, bitIndex1)) | (~v90(constB183, bitIndex1)) | v90(constB182, bitIndex1)),
% 8.48/6.41 inference(tautology,[status(thm)],[])).
% 8.48/6.41 tff(23004,plain,
% 8.48/6.41 (~v90(constB183, bitIndex1)),
% 8.48/6.41 inference(unit_resolution,[status(thm)],[23003, 23002, 22988])).
% 8.48/6.41 tff(23005,plain,
% 8.48/6.41 ((~(v90(constB183, bitIndex1) | v90(constB183, bitIndex0) | (~v90(constB183, bitIndex2)))) | v90(constB183, bitIndex1) | v90(constB183, bitIndex0) | (~v90(constB183, bitIndex2))),
% 8.48/6.41 inference(tautology,[status(thm)],[])).
% 8.48/6.41 tff(23006,plain,
% 8.48/6.41 (~(v90(constB183, bitIndex1) | v90(constB183, bitIndex0) | (~v90(constB183, bitIndex2)))),
% 8.48/6.41 inference(unit_resolution,[status(thm)],[23005, 23004, 22986, 22968])).
% 8.48/6.41 tff(23007,plain,
% 8.48/6.41 ((~(v123(constB183) <=> (~(v90(constB183, bitIndex1) | v90(constB183, bitIndex0) | (~v90(constB183, bitIndex2)))))) | v123(constB183) | (v90(constB183, bitIndex1) | v90(constB183, bitIndex0) | (~v90(constB183, bitIndex2)))),
% 8.48/6.41 inference(tautology,[status(thm)],[])).
% 8.48/6.41 tff(23008,plain,
% 8.48/6.41 (v123(constB183)),
% 8.48/6.41 inference(unit_resolution,[status(thm)],[23007, 23006, 15384])).
% 8.48/6.41 tff(23009,plain,
% 8.48/6.41 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | ((~v123(constB183)) | (~(v130(constB183, bitIndex0) | (~v130(constB183, bitIndex2)) | (~v130(constB183, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | (~v123(constB183)) | (~(v130(constB183, bitIndex0) | (~v130(constB183, bitIndex2)) | (~v130(constB183, bitIndex1)))))),
% 8.48/6.41 inference(rewrite,[status(thm)],[])).
% 8.48/6.41 tff(23010,plain,
% 8.48/6.41 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | ((~v123(constB183)) | (~(v130(constB183, bitIndex0) | (~v130(constB183, bitIndex2)) | (~v130(constB183, bitIndex1)))))),
% 8.48/6.41 inference(quant_inst,[status(thm)],[])).
% 8.48/6.41 tff(23011,plain,
% 8.48/6.41 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | (~v123(constB183)) | (~(v130(constB183, bitIndex0) | (~v130(constB183, bitIndex2)) | (~v130(constB183, bitIndex1))))),
% 8.48/6.41 inference(modus_ponens,[status(thm)],[23010, 23009])).
% 8.48/6.41 tff(23012,plain,
% 8.48/6.41 ((~v123(constB183)) | (~(v130(constB183, bitIndex0) | (~v130(constB183, bitIndex2)) | (~v130(constB183, bitIndex1))))),
% 8.48/6.41 inference(unit_resolution,[status(thm)],[23011, 3496])).
% 8.48/6.41 tff(23013,plain,
% 8.48/6.41 (~(v130(constB183, bitIndex0) | (~v130(constB183, bitIndex2)) | (~v130(constB183, bitIndex1)))),
% 8.48/6.41 inference(unit_resolution,[status(thm)],[23012, 23008])).
% 8.48/6.41 tff(23014,plain,
% 8.48/6.41 ((v130(constB183, bitIndex0) | (~v130(constB183, bitIndex2)) | (~v130(constB183, bitIndex1))) | v130(constB183, bitIndex2)),
% 8.48/6.41 inference(tautology,[status(thm)],[])).
% 8.48/6.41 tff(23015,plain,
% 8.48/6.41 (v130(constB183, bitIndex2)),
% 8.48/6.41 inference(unit_resolution,[status(thm)],[23014, 23013])).
% 8.48/6.41 tff(23016,plain,
% 8.48/6.41 (((~v127(constB183, bitIndex2)) <=> v130(constB183, bitIndex2)) | v127(constB183, bitIndex2) | (~v130(constB183, bitIndex2))),
% 8.48/6.41 inference(tautology,[status(thm)],[])).
% 8.48/6.41 tff(23017,plain,
% 8.48/6.41 (v127(constB183, bitIndex2)),
% 8.48/6.41 inference(unit_resolution,[status(thm)],[23016, 23015, 15377])).
% 8.48/6.41 tff(23018,plain,
% 8.48/6.41 (((~v129(constB184, bitIndex2)) <=> v127(constB183, bitIndex2)) | v129(constB184, bitIndex2) | (~v127(constB183, bitIndex2))),
% 8.48/6.41 inference(tautology,[status(thm)],[])).
% 8.48/6.41 tff(23019,plain,
% 8.48/6.41 (v129(constB184, bitIndex2)),
% 8.48/6.41 inference(unit_resolution,[status(thm)],[23018, 23017, 15363])).
% 8.48/6.41 tff(23020,plain,
% 8.48/6.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB183, constB184)) | (v100(constB184) <=> (~((~v101(constB184)) | (~v110(constB184))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB183, constB184)) | (v100(constB184) <=> (~((~v101(constB184)) | (~v110(constB184))))))),
% 8.48/6.41 inference(rewrite,[status(thm)],[])).
% 8.48/6.41 tff(23021,plain,
% 8.48/6.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB183, constB184)) | (v100(constB184) <=> (~((~v101(constB184)) | (~v110(constB184))))))),
% 8.48/6.41 inference(quant_inst,[status(thm)],[])).
% 8.48/6.41 tff(23022,plain,
% 8.48/6.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB183, constB184)) | (v100(constB184) <=> (~((~v101(constB184)) | (~v110(constB184)))))),
% 8.48/6.41 inference(modus_ponens,[status(thm)],[23021, 23020])).
% 8.48/6.41 tff(23023,plain,
% 8.48/6.41 (v100(constB184) <=> (~((~v101(constB184)) | (~v110(constB184))))),
% 8.48/6.41 inference(unit_resolution,[status(thm)],[23022, 15357, 445])).
% 8.48/6.41 tff(23024,plain,
% 8.48/6.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB183, constB184)) | (v101(constB184) <=> (~((~v1(constB184)) | (~v102(constB184))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB183, constB184)) | (v101(constB184) <=> (~((~v1(constB184)) | (~v102(constB184))))))),
% 8.48/6.41 inference(rewrite,[status(thm)],[])).
% 8.48/6.41 tff(23025,plain,
% 8.48/6.41 (((~nextState(constB183, constB184)) | (v101(constB184) <=> (~((~v102(constB184)) | (~v1(constB184)))))) <=> ((~nextState(constB183, constB184)) | (v101(constB184) <=> (~((~v1(constB184)) | (~v102(constB184))))))),
% 8.48/6.41 inference(rewrite,[status(thm)],[])).
% 8.48/6.41 tff(23026,plain,
% 8.48/6.41 (((~![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) <=> (~((~v1(constB184)) | (~v102(constB184)))))))),
% 8.48/6.41 inference(monotonicity,[status(thm)],[23025])).
% 8.48/6.41 tff(23027,plain,
% 8.48/6.41 (((~![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) <=> (~((~v1(constB184)) | (~v102(constB184))))))),
% 8.48/6.41 inference(transitivity,[status(thm)],[23026, 23024])).
% 8.48/6.41 tff(23028,plain,
% 8.48/6.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB183, constB184)) | (v101(constB184) <=> (~((~v102(constB184)) | (~v1(constB184))))))),
% 8.48/6.41 inference(quant_inst,[status(thm)],[])).
% 8.48/6.41 tff(23029,plain,
% 8.48/6.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB183, constB184)) | (v101(constB184) <=> (~((~v1(constB184)) | (~v102(constB184)))))),
% 8.48/6.41 inference(modus_ponens,[status(thm)],[23028, 23027])).
% 8.48/6.41 tff(23030,plain,
% 8.48/6.41 (v101(constB184) <=> (~((~v1(constB184)) | (~v102(constB184))))),
% 8.48/6.41 inference(unit_resolution,[status(thm)],[23029, 15357, 465])).
% 8.48/6.41 tff(23031,plain,
% 8.48/6.41 (((~![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)))),
% 8.48/6.41 inference(rewrite,[status(thm)],[])).
% 8.48/6.41 tff(23032,plain,
% 8.48/6.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB183, constB184)) | ((~v102(constB184)) <=> v104(constB184)))),
% 8.48/6.42 inference(quant_inst,[status(thm)],[])).
% 8.48/6.42 tff(23033,plain,
% 8.48/6.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB183, constB184)) | ((~v102(constB184)) <=> v104(constB184))),
% 8.48/6.42 inference(modus_ponens,[status(thm)],[23032, 23031])).
% 8.48/6.42 tff(23034,plain,
% 8.48/6.42 ((~v102(constB184)) <=> v104(constB184)),
% 8.48/6.42 inference(unit_resolution,[status(thm)],[23033, 15357, 3244])).
% 8.48/6.42 tff(23035,plain,
% 8.48/6.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB183, constB184)) | (v104(constB184) <=> v1(constB183)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB183, constB184)) | (v104(constB184) <=> v1(constB183)))),
% 8.48/6.42 inference(rewrite,[status(thm)],[])).
% 8.48/6.42 tff(23036,plain,
% 8.48/6.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB183, constB184)) | (v104(constB184) <=> v1(constB183)))),
% 8.48/6.42 inference(quant_inst,[status(thm)],[])).
% 8.48/6.42 tff(23037,plain,
% 8.48/6.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB183, constB184)) | (v104(constB184) <=> v1(constB183))),
% 8.48/6.42 inference(modus_ponens,[status(thm)],[23036, 23035])).
% 8.48/6.42 tff(23038,plain,
% 8.48/6.42 (v104(constB184) <=> v1(constB183)),
% 8.48/6.42 inference(unit_resolution,[status(thm)],[23037, 15357, 3258])).
% 8.48/6.42 tff(23039,plain,
% 8.48/6.42 ((~(v104(constB184) <=> v1(constB183))) | (~v104(constB184)) | v1(constB183)),
% 8.48/6.42 inference(tautology,[status(thm)],[])).
% 8.48/6.42 tff(23040,plain,
% 8.48/6.42 ((~(v104(constB184) <=> v1(constB183))) | (~v104(constB184))),
% 8.48/6.42 inference(unit_resolution,[status(thm)],[23039, 15401])).
% 8.48/6.42 tff(23041,plain,
% 8.48/6.42 (~v104(constB184)),
% 8.48/6.42 inference(unit_resolution,[status(thm)],[23040, 23038])).
% 8.48/6.42 tff(23042,plain,
% 8.48/6.42 ((~((~v102(constB184)) <=> v104(constB184))) | v102(constB184) | v104(constB184)),
% 8.48/6.42 inference(tautology,[status(thm)],[])).
% 8.48/6.42 tff(23043,plain,
% 8.48/6.42 (v102(constB184)),
% 8.48/6.42 inference(unit_resolution,[status(thm)],[23042, 23041, 23034])).
% 8.48/6.42 tff(23044,plain,
% 8.48/6.42 (v1(constB184) <=> v1(constB184)),
% 8.48/6.42 inference(rewrite,[status(thm)],[])).
% 8.48/6.42 tff(23045,axiom,(v1(constB184)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_184')).
% 8.48/6.42 tff(23046,plain,
% 8.48/6.42 (v1(constB184)),
% 8.48/6.42 inference(modus_ponens,[status(thm)],[23045, 23044])).
% 8.48/6.42 tff(23047,plain,
% 8.48/6.42 ((~((~v1(constB184)) | (~v102(constB184)))) | (~v1(constB184)) | (~v102(constB184))),
% 8.48/6.42 inference(tautology,[status(thm)],[])).
% 8.48/6.42 tff(23048,plain,
% 8.48/6.42 ((~((~v1(constB184)) | (~v102(constB184)))) | (~v102(constB184))),
% 8.48/6.42 inference(unit_resolution,[status(thm)],[23047, 23046])).
% 8.48/6.42 tff(23049,plain,
% 8.48/6.42 (~((~v1(constB184)) | (~v102(constB184)))),
% 8.48/6.42 inference(unit_resolution,[status(thm)],[23048, 23043])).
% 8.48/6.42 tff(23050,plain,
% 8.48/6.42 ((~(v101(constB184) <=> (~((~v1(constB184)) | (~v102(constB184)))))) | v101(constB184) | ((~v1(constB184)) | (~v102(constB184)))),
% 8.48/6.42 inference(tautology,[status(thm)],[])).
% 8.48/6.42 tff(23051,plain,
% 8.48/6.42 (v101(constB184)),
% 8.48/6.42 inference(unit_resolution,[status(thm)],[23050, 23049, 23030])).
% 8.48/6.42 tff(23052,plain,
% 8.48/6.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB183, constB184)) | (v110(constB184) <=> v108(constB183)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB183, constB184)) | (v110(constB184) <=> v108(constB183)))),
% 8.48/6.42 inference(rewrite,[status(thm)],[])).
% 8.48/6.42 tff(23053,plain,
% 8.48/6.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB183, constB184)) | (v110(constB184) <=> v108(constB183)))),
% 8.48/6.42 inference(quant_inst,[status(thm)],[])).
% 8.48/6.42 tff(23054,plain,
% 8.48/6.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB183, constB184)) | (v110(constB184) <=> v108(constB183))),
% 8.48/6.42 inference(modus_ponens,[status(thm)],[23053, 23052])).
% 8.48/6.42 tff(23055,plain,
% 8.48/6.42 (v110(constB184) <=> v108(constB183)),
% 8.48/6.42 inference(unit_resolution,[status(thm)],[23054, 15357, 3285])).
% 8.48/6.42 tff(23056,plain,
% 8.48/6.42 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB183) <=> (v111(constB183) | v112(constB183)))),
% 8.48/6.42 inference(quant_inst,[status(thm)],[])).
% 8.48/6.42 tff(23057,plain,
% 8.48/6.42 (v108(constB183) <=> (v111(constB183) | v112(constB183))),
% 8.48/6.42 inference(unit_resolution,[status(thm)],[23056, 3296])).
% 8.48/6.42 tff(23058,plain,
% 8.48/6.42 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB183) <=> (~((~v113(constB183)) | (~v126(constB183)))))),
% 8.48/6.42 inference(quant_inst,[status(thm)],[])).
% 8.48/6.42 tff(23059,plain,
% 8.48/6.42 (v112(constB183) <=> (~((~v113(constB183)) | (~v126(constB183))))),
% 8.48/6.42 inference(unit_resolution,[status(thm)],[23058, 3308])).
% 8.48/6.42 tff(23060,plain,
% 8.48/6.42 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB183) <=> (v114(constB183) | v125(constB183)))),
% 8.48/6.42 inference(quant_inst,[status(thm)],[])).
% 8.48/6.42 tff(23061,plain,
% 8.48/6.42 (v113(constB183) <=> (v114(constB183) | v125(constB183))),
% 8.48/6.42 inference(unit_resolution,[status(thm)],[23060, 3317])).
% 8.48/6.42 tff(23062,plain,
% 8.48/6.42 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB183) <=> (v115(constB183) | v124(constB183)))),
% 8.48/6.42 inference(quant_inst,[status(thm)],[])).
% 8.48/6.42 tff(23063,plain,
% 8.48/6.42 (v114(constB183) <=> (v115(constB183) | v124(constB183))),
% 8.48/6.42 inference(unit_resolution,[status(thm)],[23062, 3326])).
% 8.48/6.42 tff(23064,plain,
% 8.48/6.42 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB183) <=> (v116(constB183) | v123(constB183)))),
% 8.48/6.42 inference(quant_inst,[status(thm)],[])).
% 8.48/6.42 tff(23065,plain,
% 8.48/6.42 (v115(constB183) <=> (v116(constB183) | v123(constB183))),
% 8.48/6.42 inference(unit_resolution,[status(thm)],[23064, 3335])).
% 8.48/6.42 tff(23066,plain,
% 8.48/6.42 ((v116(constB183) | v123(constB183)) | (~v123(constB183))),
% 8.48/6.42 inference(tautology,[status(thm)],[])).
% 8.48/6.42 tff(23067,plain,
% 8.48/6.42 (v116(constB183) | v123(constB183)),
% 8.48/6.42 inference(unit_resolution,[status(thm)],[23066, 23008])).
% 8.48/6.42 tff(23068,plain,
% 8.48/6.42 ((~(v115(constB183) <=> (v116(constB183) | v123(constB183)))) | v115(constB183) | (~(v116(constB183) | v123(constB183)))),
% 8.48/6.42 inference(tautology,[status(thm)],[])).
% 8.48/6.42 tff(23069,plain,
% 8.48/6.42 (v115(constB183)),
% 8.48/6.42 inference(unit_resolution,[status(thm)],[23068, 23067, 23065])).
% 8.48/6.42 tff(23070,plain,
% 8.48/6.42 ((v115(constB183) | v124(constB183)) | (~v115(constB183))),
% 8.48/6.42 inference(tautology,[status(thm)],[])).
% 8.48/6.42 tff(23071,plain,
% 8.48/6.42 (v115(constB183) | v124(constB183)),
% 8.48/6.42 inference(unit_resolution,[status(thm)],[23070, 23069])).
% 8.48/6.42 tff(23072,plain,
% 8.48/6.42 ((~(v114(constB183) <=> (v115(constB183) | v124(constB183)))) | v114(constB183) | (~(v115(constB183) | v124(constB183)))),
% 8.48/6.42 inference(tautology,[status(thm)],[])).
% 8.48/6.42 tff(23073,plain,
% 8.48/6.42 (v114(constB183)),
% 8.48/6.42 inference(unit_resolution,[status(thm)],[23072, 23071, 23063])).
% 8.48/6.42 tff(23074,plain,
% 8.48/6.42 ((v114(constB183) | v125(constB183)) | (~v114(constB183))),
% 8.48/6.42 inference(tautology,[status(thm)],[])).
% 8.48/6.42 tff(23075,plain,
% 8.48/6.42 (v114(constB183) | v125(constB183)),
% 8.48/6.42 inference(unit_resolution,[status(thm)],[23074, 23073])).
% 8.48/6.42 tff(23076,plain,
% 8.48/6.42 ((~(v113(constB183) <=> (v114(constB183) | v125(constB183)))) | v113(constB183) | (~(v114(constB183) | v125(constB183)))),
% 8.48/6.42 inference(tautology,[status(thm)],[])).
% 8.48/6.42 tff(23077,plain,
% 8.48/6.42 (v113(constB183)),
% 8.48/6.42 inference(unit_resolution,[status(thm)],[23076, 23075, 23061])).
% 8.48/6.42 tff(23078,plain,
% 8.48/6.42 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB183)) <=> v111(constB183))),
% 8.48/6.42 inference(quant_inst,[status(thm)],[])).
% 8.48/6.42 tff(23079,plain,
% 8.48/6.42 ((~v126(constB183)) <=> v111(constB183)),
% 8.48/6.42 inference(unit_resolution,[status(thm)],[23078, 3396])).
% 8.48/6.42 tff(23080,plain,
% 8.48/6.42 ((~((~v126(constB183)) <=> v111(constB183))) | v126(constB183) | v111(constB183)),
% 8.48/6.42 inference(tautology,[status(thm)],[])).
% 8.48/6.42 tff(23081,plain,
% 8.48/6.42 ((~((~v126(constB183)) <=> v111(constB183))) | v126(constB183)),
% 8.48/6.42 inference(unit_resolution,[status(thm)],[23080, 15370])).
% 8.48/6.42 tff(23082,plain,
% 8.48/6.42 (v126(constB183)),
% 8.48/6.42 inference(unit_resolution,[status(thm)],[23081, 23079])).
% 8.48/6.42 tff(23083,plain,
% 8.48/6.42 ((~((~v113(constB183)) | (~v126(constB183)))) | (~v113(constB183)) | (~v126(constB183))),
% 8.48/6.42 inference(tautology,[status(thm)],[])).
% 8.48/6.42 tff(23084,plain,
% 8.48/6.42 ((~((~v113(constB183)) | (~v126(constB183)))) | (~v113(constB183))),
% 8.48/6.42 inference(unit_resolution,[status(thm)],[23083, 23082])).
% 8.48/6.42 tff(23085,plain,
% 8.48/6.42 (~((~v113(constB183)) | (~v126(constB183)))),
% 8.48/6.42 inference(unit_resolution,[status(thm)],[23084, 23077])).
% 8.48/6.42 tff(23086,plain,
% 8.48/6.42 ((~(v112(constB183) <=> (~((~v113(constB183)) | (~v126(constB183)))))) | v112(constB183) | ((~v113(constB183)) | (~v126(constB183)))),
% 8.48/6.42 inference(tautology,[status(thm)],[])).
% 8.48/6.42 tff(23087,plain,
% 8.48/6.42 (v112(constB183)),
% 8.48/6.42 inference(unit_resolution,[status(thm)],[23086, 23085, 23059])).
% 8.48/6.42 tff(23088,plain,
% 8.48/6.42 ((v111(constB183) | v112(constB183)) | (~v112(constB183))),
% 8.48/6.42 inference(tautology,[status(thm)],[])).
% 8.48/6.42 tff(23089,plain,
% 8.48/6.42 (v111(constB183) | v112(constB183)),
% 8.48/6.42 inference(unit_resolution,[status(thm)],[23088, 23087])).
% 8.48/6.42 tff(23090,plain,
% 8.48/6.42 ((~(v108(constB183) <=> (v111(constB183) | v112(constB183)))) | v108(constB183) | (~(v111(constB183) | v112(constB183)))),
% 8.48/6.42 inference(tautology,[status(thm)],[])).
% 8.48/6.42 tff(23091,plain,
% 8.48/6.42 (v108(constB183)),
% 8.48/6.42 inference(unit_resolution,[status(thm)],[23090, 23089, 23057])).
% 8.48/6.42 tff(23092,plain,
% 8.48/6.42 ((~(v110(constB184) <=> v108(constB183))) | v110(constB184) | (~v108(constB183))),
% 8.48/6.42 inference(tautology,[status(thm)],[])).
% 8.48/6.42 tff(23093,plain,
% 8.48/6.42 (v110(constB184)),
% 8.48/6.42 inference(unit_resolution,[status(thm)],[23092, 23091, 23055])).
% 8.48/6.42 tff(23094,plain,
% 8.48/6.42 ((~((~v101(constB184)) | (~v110(constB184)))) | (~v101(constB184)) | (~v110(constB184))),
% 8.48/6.42 inference(tautology,[status(thm)],[])).
% 8.48/6.42 tff(23095,plain,
% 8.48/6.42 (~((~v101(constB184)) | (~v110(constB184)))),
% 8.48/6.42 inference(unit_resolution,[status(thm)],[23094, 23093, 23051])).
% 8.48/6.42 tff(23096,plain,
% 8.48/6.42 ((~(v100(constB184) <=> (~((~v101(constB184)) | (~v110(constB184)))))) | v100(constB184) | ((~v101(constB184)) | (~v110(constB184)))),
% 8.48/6.42 inference(tautology,[status(thm)],[])).
% 8.48/6.42 tff(23097,plain,
% 8.48/6.42 (v100(constB184)),
% 8.48/6.42 inference(unit_resolution,[status(thm)],[23096, 23095, 23023])).
% 8.48/6.42 tff(23098,plain,
% 8.48/6.42 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB184)) | (~(((~v90(constB184, bitIndex2)) <=> v129(constB184, bitIndex2)) | ((~v90(constB184, bitIndex1)) <=> v129(constB184, bitIndex1)) | ((~v90(constB184, bitIndex0)) <=> v129(constB184, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB184)) | (~(((~v90(constB184, bitIndex2)) <=> v129(constB184, bitIndex2)) | ((~v90(constB184, bitIndex1)) <=> v129(constB184, bitIndex1)) | ((~v90(constB184, bitIndex0)) <=> v129(constB184, bitIndex0)))))),
% 8.48/6.42 inference(rewrite,[status(thm)],[])).
% 8.48/6.42 tff(23099,plain,
% 8.48/6.42 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB184)) | (~(((~v90(constB184, bitIndex2)) <=> v129(constB184, bitIndex2)) | ((~v90(constB184, bitIndex1)) <=> v129(constB184, bitIndex1)) | ((~v90(constB184, bitIndex0)) <=> v129(constB184, bitIndex0)))))),
% 8.48/6.42 inference(quant_inst,[status(thm)],[])).
% 8.48/6.42 tff(23100,plain,
% 8.48/6.42 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB184)) | (~(((~v90(constB184, bitIndex2)) <=> v129(constB184, bitIndex2)) | ((~v90(constB184, bitIndex1)) <=> v129(constB184, bitIndex1)) | ((~v90(constB184, bitIndex0)) <=> v129(constB184, bitIndex0))))),
% 8.48/6.42 inference(modus_ponens,[status(thm)],[23099, 23098])).
% 8.48/6.42 tff(23101,plain,
% 8.48/6.42 ((~v100(constB184)) | (~(((~v90(constB184, bitIndex2)) <=> v129(constB184, bitIndex2)) | ((~v90(constB184, bitIndex1)) <=> v129(constB184, bitIndex1)) | ((~v90(constB184, bitIndex0)) <=> v129(constB184, bitIndex0))))),
% 8.48/6.42 inference(unit_resolution,[status(thm)],[23100, 3429])).
% 8.48/6.42 tff(23102,plain,
% 8.48/6.42 (~(((~v90(constB184, bitIndex2)) <=> v129(constB184, bitIndex2)) | ((~v90(constB184, bitIndex1)) <=> v129(constB184, bitIndex1)) | ((~v90(constB184, bitIndex0)) <=> v129(constB184, bitIndex0)))),
% 8.48/6.42 inference(unit_resolution,[status(thm)],[23101, 23097])).
% 8.48/6.42 tff(23103,plain,
% 8.48/6.42 ((((~v90(constB184, bitIndex2)) <=> v129(constB184, bitIndex2)) | ((~v90(constB184, bitIndex1)) <=> v129(constB184, bitIndex1)) | ((~v90(constB184, bitIndex0)) <=> v129(constB184, bitIndex0))) | (~((~v90(constB184, bitIndex2)) <=> v129(constB184, bitIndex2)))),
% 8.48/6.42 inference(tautology,[status(thm)],[])).
% 8.48/6.42 tff(23104,plain,
% 8.48/6.42 (~((~v90(constB184, bitIndex2)) <=> v129(constB184, bitIndex2))),
% 8.48/6.42 inference(unit_resolution,[status(thm)],[23103, 23102])).
% 8.48/6.42 tff(23105,plain,
% 8.48/6.42 (((~v90(constB184, bitIndex2)) <=> v129(constB184, bitIndex2)) | v90(constB184, bitIndex2) | (~v129(constB184, bitIndex2))),
% 8.48/6.42 inference(tautology,[status(thm)],[])).
% 8.48/6.42 tff(23106,plain,
% 8.48/6.42 (v90(constB184, bitIndex2)),
% 8.48/6.42 inference(unit_resolution,[status(thm)],[23105, 23104, 23019])).
% 8.48/6.42 tff(23107,plain,
% 8.48/6.42 (((~v90(constB185, bitIndex2)) <=> v90(constB184, bitIndex2)) | v90(constB185, bitIndex2) | (~v90(constB184, bitIndex2))),
% 8.48/6.42 inference(tautology,[status(thm)],[])).
% 8.48/6.42 tff(23108,plain,
% 8.48/6.42 (v90(constB185, bitIndex2)),
% 8.48/6.42 inference(unit_resolution,[status(thm)],[23107, 23106, 15354])).
% 8.48/6.42 tff(23109,plain,
% 8.48/6.42 ((v90(constB185, bitIndex0) | v90(constB185, bitIndex1) | v90(constB185, bitIndex2)) | (~v90(constB185, bitIndex2))),
% 8.48/6.42 inference(tautology,[status(thm)],[])).
% 8.48/6.42 tff(23110,plain,
% 8.48/6.42 (v90(constB185, bitIndex0) | v90(constB185, bitIndex1) | v90(constB185, bitIndex2)),
% 8.48/6.42 inference(unit_resolution,[status(thm)],[23109, 23108])).
% 8.48/6.42 tff(23111,plain,
% 8.48/6.42 ((~(v119(constB185) <=> (~(v90(constB185, bitIndex0) | v90(constB185, bitIndex1) | v90(constB185, bitIndex2))))) | (~v119(constB185)) | (~(v90(constB185, bitIndex0) | v90(constB185, bitIndex1) | v90(constB185, bitIndex2)))),
% 8.48/6.42 inference(tautology,[status(thm)],[])).
% 8.48/6.42 tff(23112,plain,
% 8.48/6.42 (~v119(constB185)),
% 8.48/6.42 inference(unit_resolution,[status(thm)],[23111, 23110, 15318])).
% 8.48/6.42 tff(23113,plain,
% 8.48/6.42 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB185) <=> (~(v90(constB185, bitIndex1) | (~v90(constB185, bitIndex2)) | (~v90(constB185, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB185) <=> (~(v90(constB185, bitIndex1) | (~v90(constB185, bitIndex2)) | (~v90(constB185, bitIndex0))))))),
% 8.48/6.42 inference(rewrite,[status(thm)],[])).
% 8.48/6.42 tff(23114,plain,
% 8.48/6.42 ((v124(constB185) <=> (~(v90(constB185, bitIndex1) | (~v90(constB185, bitIndex0)) | (~v90(constB185, bitIndex2))))) <=> (v124(constB185) <=> (~(v90(constB185, bitIndex1) | (~v90(constB185, bitIndex2)) | (~v90(constB185, bitIndex0)))))),
% 8.48/6.42 inference(rewrite,[status(thm)],[])).
% 8.48/6.42 tff(23115,plain,
% 8.48/6.42 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB185) <=> (~(v90(constB185, bitIndex1) | (~v90(constB185, bitIndex0)) | (~v90(constB185, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB185) <=> (~(v90(constB185, bitIndex1) | (~v90(constB185, bitIndex2)) | (~v90(constB185, bitIndex0))))))),
% 8.48/6.42 inference(monotonicity,[status(thm)],[23114])).
% 8.48/6.42 tff(23116,plain,
% 8.48/6.42 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB185) <=> (~(v90(constB185, bitIndex1) | (~v90(constB185, bitIndex0)) | (~v90(constB185, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB185) <=> (~(v90(constB185, bitIndex1) | (~v90(constB185, bitIndex2)) | (~v90(constB185, bitIndex0))))))),
% 8.48/6.42 inference(transitivity,[status(thm)],[23115, 23113])).
% 8.48/6.42 tff(23117,plain,
% 8.48/6.42 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB185) <=> (~(v90(constB185, bitIndex1) | (~v90(constB185, bitIndex0)) | (~v90(constB185, bitIndex2)))))),
% 8.48/6.42 inference(quant_inst,[status(thm)],[])).
% 8.48/6.42 tff(23118,plain,
% 8.48/6.42 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB185) <=> (~(v90(constB185, bitIndex1) | (~v90(constB185, bitIndex2)) | (~v90(constB185, bitIndex0)))))),
% 8.48/6.42 inference(modus_ponens,[status(thm)],[23117, 23116])).
% 8.48/6.42 tff(23119,plain,
% 8.48/6.42 (v124(constB185) <=> (~(v90(constB185, bitIndex1) | (~v90(constB185, bitIndex2)) | (~v90(constB185, bitIndex0))))),
% 8.48/6.42 inference(unit_resolution,[status(thm)],[23118, 3613])).
% 8.48/6.42 tff(23120,plain,
% 8.48/6.42 ((((~v90(constB185, bitIndex1)) <=> v90(constB184, bitIndex1)) | ((~v90(constB185, bitIndex2)) <=> v90(constB184, bitIndex2)) | ((~v90(constB185, bitIndex0)) <=> v90(constB184, bitIndex0))) | (~((~v90(constB185, bitIndex1)) <=> v90(constB184, bitIndex1)))),
% 8.48/6.42 inference(tautology,[status(thm)],[])).
% 8.48/6.42 tff(23121,plain,
% 8.48/6.42 (~((~v90(constB185, bitIndex1)) <=> v90(constB184, bitIndex1))),
% 8.48/6.42 inference(unit_resolution,[status(thm)],[23120, 15352])).
% 8.48/6.42 tff(23122,plain,
% 8.48/6.42 ((((~v129(constB184, bitIndex2)) <=> v127(constB183, bitIndex2)) | ((~v129(constB184, bitIndex1)) <=> v127(constB183, bitIndex1)) | ((~v129(constB184, bitIndex0)) <=> v127(constB183, bitIndex0))) | (~((~v129(constB184, bitIndex1)) <=> v127(constB183, bitIndex1)))),
% 8.48/6.42 inference(tautology,[status(thm)],[])).
% 8.48/6.42 tff(23123,plain,
% 8.48/6.42 (~((~v129(constB184, bitIndex1)) <=> v127(constB183, bitIndex1))),
% 8.48/6.42 inference(unit_resolution,[status(thm)],[23122, 15361])).
% 8.48/6.42 tff(23124,plain,
% 8.48/6.42 ((((~v127(constB183, bitIndex2)) <=> v130(constB183, bitIndex2)) | ((~v127(constB183, bitIndex1)) <=> v130(constB183, bitIndex1)) | ((~v127(constB183, bitIndex0)) <=> v130(constB183, bitIndex0))) | (~((~v127(constB183, bitIndex1)) <=> v130(constB183, bitIndex1)))),
% 8.48/6.42 inference(tautology,[status(thm)],[])).
% 8.48/6.42 tff(23125,plain,
% 8.48/6.42 (~((~v127(constB183, bitIndex1)) <=> v130(constB183, bitIndex1))),
% 8.48/6.42 inference(unit_resolution,[status(thm)],[23124, 15375])).
% 8.48/6.42 tff(23126,plain,
% 8.48/6.42 ((v130(constB183, bitIndex0) | (~v130(constB183, bitIndex2)) | (~v130(constB183, bitIndex1))) | v130(constB183, bitIndex1)),
% 8.48/6.42 inference(tautology,[status(thm)],[])).
% 8.48/6.42 tff(23127,plain,
% 8.48/6.42 (v130(constB183, bitIndex1)),
% 8.48/6.42 inference(unit_resolution,[status(thm)],[23126, 23013])).
% 8.48/6.42 tff(23128,plain,
% 8.48/6.42 (((~v127(constB183, bitIndex1)) <=> v130(constB183, bitIndex1)) | v127(constB183, bitIndex1) | (~v130(constB183, bitIndex1))),
% 8.48/6.42 inference(tautology,[status(thm)],[])).
% 8.48/6.42 tff(23129,plain,
% 8.48/6.42 (v127(constB183, bitIndex1)),
% 8.48/6.42 inference(unit_resolution,[status(thm)],[23128, 23127, 23125])).
% 8.48/6.42 tff(23130,plain,
% 8.48/6.42 (((~v129(constB184, bitIndex1)) <=> v127(constB183, bitIndex1)) | v129(constB184, bitIndex1) | (~v127(constB183, bitIndex1))),
% 8.48/6.42 inference(tautology,[status(thm)],[])).
% 8.48/6.42 tff(23131,plain,
% 8.48/6.42 (v129(constB184, bitIndex1)),
% 8.48/6.42 inference(unit_resolution,[status(thm)],[23130, 23129, 23123])).
% 8.48/6.42 tff(23132,plain,
% 8.48/6.42 ((((~v90(constB184, bitIndex2)) <=> v129(constB184, bitIndex2)) | ((~v90(constB184, bitIndex1)) <=> v129(constB184, bitIndex1)) | ((~v90(constB184, bitIndex0)) <=> v129(constB184, bitIndex0))) | (~((~v90(constB184, bitIndex1)) <=> v129(constB184, bitIndex1)))),
% 8.48/6.42 inference(tautology,[status(thm)],[])).
% 8.48/6.42 tff(23133,plain,
% 8.48/6.42 (~((~v90(constB184, bitIndex1)) <=> v129(constB184, bitIndex1))),
% 8.48/6.42 inference(unit_resolution,[status(thm)],[23132, 23102])).
% 8.48/6.42 tff(23134,plain,
% 8.48/6.42 (((~v90(constB184, bitIndex1)) <=> v129(constB184, bitIndex1)) | v90(constB184, bitIndex1) | (~v129(constB184, bitIndex1))),
% 8.48/6.42 inference(tautology,[status(thm)],[])).
% 8.48/6.42 tff(23135,plain,
% 8.48/6.42 (v90(constB184, bitIndex1)),
% 8.48/6.42 inference(unit_resolution,[status(thm)],[23134, 23133, 23131])).
% 8.48/6.42 tff(23136,plain,
% 8.48/6.42 (((~v90(constB185, bitIndex1)) <=> v90(constB184, bitIndex1)) | v90(constB185, bitIndex1) | (~v90(constB184, bitIndex1))),
% 8.48/6.42 inference(tautology,[status(thm)],[])).
% 8.48/6.42 tff(23137,plain,
% 8.48/6.42 (v90(constB185, bitIndex1)),
% 8.48/6.42 inference(unit_resolution,[status(thm)],[23136, 23135, 23121])).
% 8.48/6.42 tff(23138,plain,
% 8.48/6.42 ((v90(constB185, bitIndex1) | (~v90(constB185, bitIndex2)) | (~v90(constB185, bitIndex0))) | (~v90(constB185, bitIndex1))),
% 8.48/6.42 inference(tautology,[status(thm)],[])).
% 8.48/6.42 tff(23139,plain,
% 8.48/6.42 (v90(constB185, bitIndex1) | (~v90(constB185, bitIndex2)) | (~v90(constB185, bitIndex0))),
% 8.48/6.42 inference(unit_resolution,[status(thm)],[23138, 23137])).
% 8.48/6.42 tff(23140,plain,
% 8.48/6.42 ((~(v124(constB185) <=> (~(v90(constB185, bitIndex1) | (~v90(constB185, bitIndex2)) | (~v90(constB185, bitIndex0)))))) | (~v124(constB185)) | (~(v90(constB185, bitIndex1) | (~v90(constB185, bitIndex2)) | (~v90(constB185, bitIndex0))))),
% 8.48/6.42 inference(tautology,[status(thm)],[])).
% 8.48/6.42 tff(23141,plain,
% 8.48/6.42 (~v124(constB185)),
% 8.48/6.42 inference(unit_resolution,[status(thm)],[23140, 23139, 23119])).
% 8.48/6.42 tff(23142,plain,
% 8.48/6.42 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB185) <=> (~(v90(constB185, bitIndex1) | v90(constB185, bitIndex0) | (~v90(constB185, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB185) <=> (~(v90(constB185, bitIndex1) | v90(constB185, bitIndex0) | (~v90(constB185, bitIndex2))))))),
% 8.48/6.42 inference(rewrite,[status(thm)],[])).
% 8.48/6.42 tff(23143,plain,
% 8.48/6.42 ((v123(constB185) <=> (~(v90(constB185, bitIndex0) | v90(constB185, bitIndex1) | (~v90(constB185, bitIndex2))))) <=> (v123(constB185) <=> (~(v90(constB185, bitIndex1) | v90(constB185, bitIndex0) | (~v90(constB185, bitIndex2)))))),
% 8.48/6.42 inference(rewrite,[status(thm)],[])).
% 8.48/6.42 tff(23144,plain,
% 8.48/6.42 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB185) <=> (~(v90(constB185, bitIndex0) | v90(constB185, bitIndex1) | (~v90(constB185, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB185) <=> (~(v90(constB185, bitIndex1) | v90(constB185, bitIndex0) | (~v90(constB185, bitIndex2))))))),
% 8.48/6.42 inference(monotonicity,[status(thm)],[23143])).
% 8.48/6.42 tff(23145,plain,
% 8.48/6.42 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB185) <=> (~(v90(constB185, bitIndex0) | v90(constB185, bitIndex1) | (~v90(constB185, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB185) <=> (~(v90(constB185, bitIndex1) | v90(constB185, bitIndex0) | (~v90(constB185, bitIndex2))))))),
% 8.48/6.42 inference(transitivity,[status(thm)],[23144, 23142])).
% 8.48/6.42 tff(23146,plain,
% 8.48/6.42 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB185) <=> (~(v90(constB185, bitIndex0) | v90(constB185, bitIndex1) | (~v90(constB185, bitIndex2)))))),
% 8.48/6.42 inference(quant_inst,[status(thm)],[])).
% 8.48/6.42 tff(23147,plain,
% 8.48/6.42 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB185) <=> (~(v90(constB185, bitIndex1) | v90(constB185, bitIndex0) | (~v90(constB185, bitIndex2)))))),
% 8.48/6.42 inference(modus_ponens,[status(thm)],[23146, 23145])).
% 8.48/6.42 tff(23148,plain,
% 8.48/6.42 (v123(constB185) <=> (~(v90(constB185, bitIndex1) | v90(constB185, bitIndex0) | (~v90(constB185, bitIndex2))))),
% 8.48/6.42 inference(unit_resolution,[status(thm)],[23147, 800])).
% 8.48/6.42 tff(23149,plain,
% 8.48/6.42 ((v90(constB185, bitIndex1) | v90(constB185, bitIndex0) | (~v90(constB185, bitIndex2))) | (~v90(constB185, bitIndex1))),
% 8.48/6.42 inference(tautology,[status(thm)],[])).
% 8.48/6.42 tff(23150,plain,
% 8.48/6.42 (v90(constB185, bitIndex1) | v90(constB185, bitIndex0) | (~v90(constB185, bitIndex2))),
% 8.48/6.42 inference(unit_resolution,[status(thm)],[23149, 23137])).
% 8.48/6.42 tff(23151,plain,
% 8.48/6.42 ((~(v123(constB185) <=> (~(v90(constB185, bitIndex1) | v90(constB185, bitIndex0) | (~v90(constB185, bitIndex2)))))) | (~v123(constB185)) | (~(v90(constB185, bitIndex1) | v90(constB185, bitIndex0) | (~v90(constB185, bitIndex2))))),
% 8.48/6.42 inference(tautology,[status(thm)],[])).
% 8.48/6.42 tff(23152,plain,
% 8.48/6.42 (~v123(constB185)),
% 8.48/6.42 inference(unit_resolution,[status(thm)],[23151, 23150, 23148])).
% 8.48/6.42 tff(23153,plain,
% 8.48/6.42 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB185) <=> (~(v90(constB185, bitIndex2) | (~v90(constB185, bitIndex1)) | (~v90(constB185, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB185) <=> (~(v90(constB185, bitIndex2) | (~v90(constB185, bitIndex1)) | (~v90(constB185, bitIndex0))))))),
% 8.48/6.42 inference(rewrite,[status(thm)],[])).
% 8.48/6.42 tff(23154,plain,
% 8.48/6.42 ((v122(constB185) <=> (~(v90(constB185, bitIndex2) | (~v90(constB185, bitIndex0)) | (~v90(constB185, bitIndex1))))) <=> (v122(constB185) <=> (~(v90(constB185, bitIndex2) | (~v90(constB185, bitIndex1)) | (~v90(constB185, bitIndex0)))))),
% 8.48/6.42 inference(rewrite,[status(thm)],[])).
% 8.48/6.42 tff(23155,plain,
% 8.48/6.42 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB185) <=> (~(v90(constB185, bitIndex2) | (~v90(constB185, bitIndex0)) | (~v90(constB185, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB185) <=> (~(v90(constB185, bitIndex2) | (~v90(constB185, bitIndex1)) | (~v90(constB185, bitIndex0))))))),
% 8.48/6.42 inference(monotonicity,[status(thm)],[23154])).
% 8.48/6.42 tff(23156,plain,
% 8.48/6.42 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB185) <=> (~(v90(constB185, bitIndex2) | (~v90(constB185, bitIndex0)) | (~v90(constB185, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB185) <=> (~(v90(constB185, bitIndex2) | (~v90(constB185, bitIndex1)) | (~v90(constB185, bitIndex0))))))),
% 8.48/6.42 inference(transitivity,[status(thm)],[23155, 23153])).
% 8.48/6.42 tff(23157,plain,
% 8.48/6.42 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB185) <=> (~(v90(constB185, bitIndex2) | (~v90(constB185, bitIndex0)) | (~v90(constB185, bitIndex1)))))),
% 8.48/6.42 inference(quant_inst,[status(thm)],[])).
% 8.48/6.42 tff(23158,plain,
% 8.48/6.42 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB185) <=> (~(v90(constB185, bitIndex2) | (~v90(constB185, bitIndex1)) | (~v90(constB185, bitIndex0)))))),
% 8.48/6.42 inference(modus_ponens,[status(thm)],[23157, 23156])).
% 8.48/6.42 tff(23159,plain,
% 8.48/6.42 (v122(constB185) <=> (~(v90(constB185, bitIndex2) | (~v90(constB185, bitIndex1)) | (~v90(constB185, bitIndex0))))),
% 8.48/6.42 inference(unit_resolution,[status(thm)],[23158, 879])).
% 8.48/6.42 tff(23160,plain,
% 8.48/6.42 ((v90(constB185, bitIndex2) | (~v90(constB185, bitIndex1)) | (~v90(constB185, bitIndex0))) | (~v90(constB185, bitIndex2))),
% 8.48/6.42 inference(tautology,[status(thm)],[])).
% 8.48/6.43 tff(23161,plain,
% 8.48/6.43 (v90(constB185, bitIndex2) | (~v90(constB185, bitIndex1)) | (~v90(constB185, bitIndex0))),
% 8.48/6.43 inference(unit_resolution,[status(thm)],[23160, 23108])).
% 8.48/6.43 tff(23162,plain,
% 8.48/6.43 ((~(v122(constB185) <=> (~(v90(constB185, bitIndex2) | (~v90(constB185, bitIndex1)) | (~v90(constB185, bitIndex0)))))) | (~v122(constB185)) | (~(v90(constB185, bitIndex2) | (~v90(constB185, bitIndex1)) | (~v90(constB185, bitIndex0))))),
% 8.48/6.43 inference(tautology,[status(thm)],[])).
% 8.48/6.43 tff(23163,plain,
% 8.48/6.43 (~v122(constB185)),
% 8.48/6.43 inference(unit_resolution,[status(thm)],[23162, 23161, 23159])).
% 8.48/6.43 tff(23164,plain,
% 8.48/6.43 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB185) <=> (~(v90(constB185, bitIndex2) | v90(constB185, bitIndex0) | (~v90(constB185, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB185) <=> (~(v90(constB185, bitIndex2) | v90(constB185, bitIndex0) | (~v90(constB185, bitIndex1))))))),
% 8.48/6.43 inference(rewrite,[status(thm)],[])).
% 8.48/6.43 tff(23165,plain,
% 8.48/6.43 ((v121(constB185) <=> (~(v90(constB185, bitIndex0) | v90(constB185, bitIndex2) | (~v90(constB185, bitIndex1))))) <=> (v121(constB185) <=> (~(v90(constB185, bitIndex2) | v90(constB185, bitIndex0) | (~v90(constB185, bitIndex1)))))),
% 8.48/6.43 inference(rewrite,[status(thm)],[])).
% 8.48/6.43 tff(23166,plain,
% 8.48/6.43 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB185) <=> (~(v90(constB185, bitIndex0) | v90(constB185, bitIndex2) | (~v90(constB185, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB185) <=> (~(v90(constB185, bitIndex2) | v90(constB185, bitIndex0) | (~v90(constB185, bitIndex1))))))),
% 8.48/6.43 inference(monotonicity,[status(thm)],[23165])).
% 8.48/6.43 tff(23167,plain,
% 8.48/6.43 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB185) <=> (~(v90(constB185, bitIndex0) | v90(constB185, bitIndex2) | (~v90(constB185, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB185) <=> (~(v90(constB185, bitIndex2) | v90(constB185, bitIndex0) | (~v90(constB185, bitIndex1))))))),
% 8.48/6.43 inference(transitivity,[status(thm)],[23166, 23164])).
% 8.48/6.43 tff(23168,plain,
% 8.48/6.43 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB185) <=> (~(v90(constB185, bitIndex0) | v90(constB185, bitIndex2) | (~v90(constB185, bitIndex1)))))),
% 8.48/6.43 inference(quant_inst,[status(thm)],[])).
% 8.48/6.43 tff(23169,plain,
% 8.48/6.43 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB185) <=> (~(v90(constB185, bitIndex2) | v90(constB185, bitIndex0) | (~v90(constB185, bitIndex1)))))),
% 8.48/6.43 inference(modus_ponens,[status(thm)],[23168, 23167])).
% 8.48/6.43 tff(23170,plain,
% 8.48/6.43 (v121(constB185) <=> (~(v90(constB185, bitIndex2) | v90(constB185, bitIndex0) | (~v90(constB185, bitIndex1))))),
% 8.48/6.43 inference(unit_resolution,[status(thm)],[23169, 586])).
% 8.48/6.43 tff(23171,plain,
% 8.48/6.43 ((v90(constB185, bitIndex2) | v90(constB185, bitIndex0) | (~v90(constB185, bitIndex1))) | (~v90(constB185, bitIndex2))),
% 8.48/6.43 inference(tautology,[status(thm)],[])).
% 8.48/6.43 tff(23172,plain,
% 8.48/6.43 (v90(constB185, bitIndex2) | v90(constB185, bitIndex0) | (~v90(constB185, bitIndex1))),
% 8.48/6.43 inference(unit_resolution,[status(thm)],[23171, 23108])).
% 8.48/6.43 tff(23173,plain,
% 8.48/6.43 ((~(v121(constB185) <=> (~(v90(constB185, bitIndex2) | v90(constB185, bitIndex0) | (~v90(constB185, bitIndex1)))))) | (~v121(constB185)) | (~(v90(constB185, bitIndex2) | v90(constB185, bitIndex0) | (~v90(constB185, bitIndex1))))),
% 8.48/6.43 inference(tautology,[status(thm)],[])).
% 8.48/6.43 tff(23174,plain,
% 8.48/6.43 (~v121(constB185)),
% 8.48/6.43 inference(unit_resolution,[status(thm)],[23173, 23172, 23170])).
% 8.48/6.43 tff(23175,plain,
% 8.48/6.43 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB185) <=> (~(v90(constB185, bitIndex1) | v90(constB185, bitIndex2) | (~v90(constB185, bitIndex0)))))),
% 8.48/6.43 inference(quant_inst,[status(thm)],[])).
% 8.48/6.43 tff(23176,plain,
% 8.48/6.43 (v120(constB185) <=> (~(v90(constB185, bitIndex1) | v90(constB185, bitIndex2) | (~v90(constB185, bitIndex0))))),
% 8.48/6.43 inference(unit_resolution,[status(thm)],[23175, 665])).
% 8.48/6.43 tff(23177,plain,
% 8.48/6.43 ((v90(constB185, bitIndex1) | v90(constB185, bitIndex2) | (~v90(constB185, bitIndex0))) | (~v90(constB185, bitIndex2))),
% 8.48/6.43 inference(tautology,[status(thm)],[])).
% 8.48/6.43 tff(23178,plain,
% 8.48/6.43 (v90(constB185, bitIndex1) | v90(constB185, bitIndex2) | (~v90(constB185, bitIndex0))),
% 8.48/6.43 inference(unit_resolution,[status(thm)],[23177, 23108])).
% 8.48/6.43 tff(23179,plain,
% 8.48/6.43 ((~(v120(constB185) <=> (~(v90(constB185, bitIndex1) | v90(constB185, bitIndex2) | (~v90(constB185, bitIndex0)))))) | (~v120(constB185)) | (~(v90(constB185, bitIndex1) | v90(constB185, bitIndex2) | (~v90(constB185, bitIndex0))))),
% 8.48/6.43 inference(tautology,[status(thm)],[])).
% 8.48/6.43 tff(23180,plain,
% 8.48/6.43 (~v120(constB185)),
% 8.48/6.43 inference(unit_resolution,[status(thm)],[23179, 23178, 23176])).
% 8.48/6.43 tff(23181,plain,
% 8.48/6.43 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v119(constB185) | v120(constB185) | v121(constB185) | v122(constB185) | v123(constB185) | v124(constB185) | (~(v130(constB185, bitIndex2) | v130(constB185, bitIndex1) | (~v130(constB185, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | v119(constB185) | v120(constB185) | v121(constB185) | v122(constB185) | v123(constB185) | v124(constB185) | (~(v130(constB185, bitIndex2) | v130(constB185, bitIndex1) | (~v130(constB185, bitIndex0)))))),
% 8.48/6.43 inference(rewrite,[status(thm)],[])).
% 8.48/6.43 tff(23182,plain,
% 8.48/6.43 ((v124(constB185) | v123(constB185) | v122(constB185) | v121(constB185) | v120(constB185) | v119(constB185) | (~(v130(constB185, bitIndex2) | v130(constB185, bitIndex1) | (~v130(constB185, bitIndex0))))) <=> (v119(constB185) | v120(constB185) | v121(constB185) | v122(constB185) | v123(constB185) | v124(constB185) | (~(v130(constB185, bitIndex2) | v130(constB185, bitIndex1) | (~v130(constB185, bitIndex0)))))),
% 8.48/6.43 inference(rewrite,[status(thm)],[])).
% 8.48/6.43 tff(23183,plain,
% 8.48/6.43 ((~(v130(constB185, bitIndex1) | v130(constB185, bitIndex2) | (~v130(constB185, bitIndex0)))) <=> (~(v130(constB185, bitIndex2) | v130(constB185, bitIndex1) | (~v130(constB185, bitIndex0))))),
% 8.48/6.43 inference(rewrite,[status(thm)],[])).
% 8.48/6.43 tff(23184,plain,
% 8.48/6.43 ((v124(constB185) | v123(constB185) | v122(constB185) | v121(constB185) | v120(constB185) | v119(constB185) | (~(v130(constB185, bitIndex1) | v130(constB185, bitIndex2) | (~v130(constB185, bitIndex0))))) <=> (v124(constB185) | v123(constB185) | v122(constB185) | v121(constB185) | v120(constB185) | v119(constB185) | (~(v130(constB185, bitIndex2) | v130(constB185, bitIndex1) | (~v130(constB185, bitIndex0)))))),
% 8.48/6.43 inference(monotonicity,[status(thm)],[23183])).
% 8.48/6.43 tff(23185,plain,
% 8.48/6.43 ((v124(constB185) | v123(constB185) | v122(constB185) | v121(constB185) | v120(constB185) | v119(constB185) | (~(v130(constB185, bitIndex1) | v130(constB185, bitIndex2) | (~v130(constB185, bitIndex0))))) <=> (v119(constB185) | v120(constB185) | v121(constB185) | v122(constB185) | v123(constB185) | v124(constB185) | (~(v130(constB185, bitIndex2) | v130(constB185, bitIndex1) | (~v130(constB185, bitIndex0)))))),
% 8.48/6.43 inference(transitivity,[status(thm)],[23184, 23182])).
% 8.48/6.43 tff(23186,plain,
% 8.48/6.43 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB185) | v123(constB185) | v122(constB185) | v121(constB185) | v120(constB185) | v119(constB185) | (~(v130(constB185, bitIndex1) | v130(constB185, bitIndex2) | (~v130(constB185, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v119(constB185) | v120(constB185) | v121(constB185) | v122(constB185) | v123(constB185) | v124(constB185) | (~(v130(constB185, bitIndex2) | v130(constB185, bitIndex1) | (~v130(constB185, bitIndex0))))))),
% 8.48/6.43 inference(monotonicity,[status(thm)],[23185])).
% 8.48/6.43 tff(23187,plain,
% 8.48/6.43 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB185) | v123(constB185) | v122(constB185) | v121(constB185) | v120(constB185) | v119(constB185) | (~(v130(constB185, bitIndex1) | v130(constB185, bitIndex2) | (~v130(constB185, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | v119(constB185) | v120(constB185) | v121(constB185) | v122(constB185) | v123(constB185) | v124(constB185) | (~(v130(constB185, bitIndex2) | v130(constB185, bitIndex1) | (~v130(constB185, bitIndex0)))))),
% 8.48/6.43 inference(transitivity,[status(thm)],[23186, 23181])).
% 8.48/6.43 tff(23188,plain,
% 8.48/6.43 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB185) | v123(constB185) | v122(constB185) | v121(constB185) | v120(constB185) | v119(constB185) | (~(v130(constB185, bitIndex1) | v130(constB185, bitIndex2) | (~v130(constB185, bitIndex0)))))),
% 8.48/6.43 inference(quant_inst,[status(thm)],[])).
% 8.48/6.43 tff(23189,plain,
% 8.48/6.43 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | v119(constB185) | v120(constB185) | v121(constB185) | v122(constB185) | v123(constB185) | v124(constB185) | (~(v130(constB185, bitIndex2) | v130(constB185, bitIndex1) | (~v130(constB185, bitIndex0))))),
% 8.48/6.43 inference(modus_ponens,[status(thm)],[23188, 23187])).
% 8.48/6.43 tff(23190,plain,
% 8.48/6.43 (v119(constB185) | v120(constB185) | v121(constB185) | v122(constB185) | v123(constB185) | v124(constB185) | (~(v130(constB185, bitIndex2) | v130(constB185, bitIndex1) | (~v130(constB185, bitIndex0))))),
% 8.48/6.43 inference(unit_resolution,[status(thm)],[23189, 3694])).
% 8.48/6.43 tff(23191,plain,
% 8.48/6.43 (~(v130(constB185, bitIndex2) | v130(constB185, bitIndex1) | (~v130(constB185, bitIndex0)))),
% 8.48/6.43 inference(unit_resolution,[status(thm)],[23190, 23180, 23174, 23163, 23152, 23141, 23112])).
% 8.48/6.43 tff(23192,plain,
% 8.48/6.43 ((v130(constB185, bitIndex2) | v130(constB185, bitIndex1) | (~v130(constB185, bitIndex0))) | (~v130(constB185, bitIndex2))),
% 8.48/6.43 inference(tautology,[status(thm)],[])).
% 8.48/6.43 tff(23193,plain,
% 8.48/6.43 (~v130(constB185, bitIndex2)),
% 8.48/6.43 inference(unit_resolution,[status(thm)],[23192, 23191])).
% 8.48/6.43 tff(23194,plain,
% 8.48/6.43 (((~v127(constB185, bitIndex2)) <=> v130(constB185, bitIndex2)) | (~v127(constB185, bitIndex2)) | v130(constB185, bitIndex2)),
% 8.48/6.43 inference(tautology,[status(thm)],[])).
% 8.48/6.43 tff(23195,plain,
% 8.48/6.43 (~v127(constB185, bitIndex2)),
% 8.48/6.43 inference(unit_resolution,[status(thm)],[23194, 23193, 15316])).
% 8.48/6.43 tff(23196,plain,
% 8.48/6.43 (((~v129(constB186, bitIndex2)) <=> v127(constB185, bitIndex2)) | (~v129(constB186, bitIndex2)) | v127(constB185, bitIndex2)),
% 8.48/6.43 inference(tautology,[status(thm)],[])).
% 8.48/6.43 tff(23197,plain,
% 8.48/6.43 (~v129(constB186, bitIndex2)),
% 8.48/6.43 inference(unit_resolution,[status(thm)],[23196, 23195, 15302])).
% 8.48/6.43 tff(23198,plain,
% 8.48/6.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB185, constB186)) | (v100(constB186) <=> (~((~v101(constB186)) | (~v110(constB186))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB185, constB186)) | (v100(constB186) <=> (~((~v101(constB186)) | (~v110(constB186))))))),
% 8.48/6.43 inference(rewrite,[status(thm)],[])).
% 8.48/6.43 tff(23199,plain,
% 8.48/6.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB185, constB186)) | (v100(constB186) <=> (~((~v101(constB186)) | (~v110(constB186))))))),
% 8.48/6.43 inference(quant_inst,[status(thm)],[])).
% 8.48/6.43 tff(23200,plain,
% 8.48/6.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB185, constB186)) | (v100(constB186) <=> (~((~v101(constB186)) | (~v110(constB186)))))),
% 8.48/6.43 inference(modus_ponens,[status(thm)],[23199, 23198])).
% 8.48/6.43 tff(23201,plain,
% 8.48/6.43 (v100(constB186) <=> (~((~v101(constB186)) | (~v110(constB186))))),
% 8.48/6.43 inference(unit_resolution,[status(thm)],[23200, 15296, 445])).
% 8.48/6.43 tff(23202,plain,
% 8.48/6.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB185, constB186)) | (v101(constB186) <=> (~((~v1(constB186)) | (~v102(constB186))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB185, constB186)) | (v101(constB186) <=> (~((~v1(constB186)) | (~v102(constB186))))))),
% 8.48/6.43 inference(rewrite,[status(thm)],[])).
% 8.48/6.43 tff(23203,plain,
% 8.48/6.43 (((~nextState(constB185, constB186)) | (v101(constB186) <=> (~((~v102(constB186)) | (~v1(constB186)))))) <=> ((~nextState(constB185, constB186)) | (v101(constB186) <=> (~((~v1(constB186)) | (~v102(constB186))))))),
% 8.48/6.43 inference(rewrite,[status(thm)],[])).
% 8.48/6.43 tff(23204,plain,
% 8.48/6.43 (((~![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) <=> (~((~v1(constB186)) | (~v102(constB186)))))))),
% 8.48/6.43 inference(monotonicity,[status(thm)],[23203])).
% 8.48/6.43 tff(23205,plain,
% 8.48/6.43 (((~![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) <=> (~((~v1(constB186)) | (~v102(constB186))))))),
% 8.48/6.43 inference(transitivity,[status(thm)],[23204, 23202])).
% 8.48/6.43 tff(23206,plain,
% 8.48/6.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB185, constB186)) | (v101(constB186) <=> (~((~v102(constB186)) | (~v1(constB186))))))),
% 8.48/6.43 inference(quant_inst,[status(thm)],[])).
% 8.48/6.43 tff(23207,plain,
% 8.48/6.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB185, constB186)) | (v101(constB186) <=> (~((~v1(constB186)) | (~v102(constB186)))))),
% 8.48/6.43 inference(modus_ponens,[status(thm)],[23206, 23205])).
% 8.48/6.43 tff(23208,plain,
% 8.48/6.43 (v101(constB186) <=> (~((~v1(constB186)) | (~v102(constB186))))),
% 8.48/6.43 inference(unit_resolution,[status(thm)],[23207, 15296, 465])).
% 8.48/6.43 tff(23209,plain,
% 8.48/6.43 (((~![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)))),
% 8.48/6.43 inference(rewrite,[status(thm)],[])).
% 8.48/6.43 tff(23210,plain,
% 8.48/6.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB185, constB186)) | ((~v102(constB186)) <=> v104(constB186)))),
% 8.48/6.43 inference(quant_inst,[status(thm)],[])).
% 8.48/6.43 tff(23211,plain,
% 8.48/6.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB185, constB186)) | ((~v102(constB186)) <=> v104(constB186))),
% 8.48/6.43 inference(modus_ponens,[status(thm)],[23210, 23209])).
% 8.48/6.43 tff(23212,plain,
% 8.48/6.43 ((~v102(constB186)) <=> v104(constB186)),
% 8.48/6.43 inference(unit_resolution,[status(thm)],[23211, 15296, 3244])).
% 8.48/6.43 tff(23213,plain,
% 8.48/6.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB185, constB186)) | (v104(constB186) <=> v1(constB185)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB185, constB186)) | (v104(constB186) <=> v1(constB185)))),
% 8.48/6.43 inference(rewrite,[status(thm)],[])).
% 8.48/6.43 tff(23214,plain,
% 8.48/6.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB185, constB186)) | (v104(constB186) <=> v1(constB185)))),
% 8.48/6.43 inference(quant_inst,[status(thm)],[])).
% 8.48/6.43 tff(23215,plain,
% 8.48/6.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB185, constB186)) | (v104(constB186) <=> v1(constB185))),
% 8.48/6.43 inference(modus_ponens,[status(thm)],[23214, 23213])).
% 8.48/6.43 tff(23216,plain,
% 8.48/6.43 (v104(constB186) <=> v1(constB185)),
% 8.48/6.43 inference(unit_resolution,[status(thm)],[23215, 15296, 3258])).
% 8.48/6.43 tff(23217,plain,
% 8.48/6.43 ((~(v104(constB186) <=> v1(constB185))) | (~v104(constB186)) | v1(constB185)),
% 8.48/6.43 inference(tautology,[status(thm)],[])).
% 8.48/6.43 tff(23218,plain,
% 8.48/6.43 ((~(v104(constB186) <=> v1(constB185))) | (~v104(constB186))),
% 8.48/6.43 inference(unit_resolution,[status(thm)],[23217, 15335])).
% 8.48/6.43 tff(23219,plain,
% 8.48/6.43 (~v104(constB186)),
% 8.48/6.43 inference(unit_resolution,[status(thm)],[23218, 23216])).
% 8.48/6.43 tff(23220,plain,
% 8.48/6.43 ((~((~v102(constB186)) <=> v104(constB186))) | v102(constB186) | v104(constB186)),
% 8.48/6.43 inference(tautology,[status(thm)],[])).
% 8.48/6.43 tff(23221,plain,
% 8.48/6.43 (v102(constB186)),
% 8.48/6.43 inference(unit_resolution,[status(thm)],[23220, 23219, 23212])).
% 8.48/6.43 tff(23222,plain,
% 8.48/6.43 (v1(constB186) <=> v1(constB186)),
% 8.48/6.43 inference(rewrite,[status(thm)],[])).
% 8.48/6.43 tff(23223,axiom,(v1(constB186)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_186')).
% 8.48/6.43 tff(23224,plain,
% 8.48/6.43 (v1(constB186)),
% 8.48/6.43 inference(modus_ponens,[status(thm)],[23223, 23222])).
% 8.48/6.43 tff(23225,plain,
% 8.48/6.43 ((~((~v1(constB186)) | (~v102(constB186)))) | (~v1(constB186)) | (~v102(constB186))),
% 8.48/6.43 inference(tautology,[status(thm)],[])).
% 8.48/6.43 tff(23226,plain,
% 8.48/6.43 ((~((~v1(constB186)) | (~v102(constB186)))) | (~v102(constB186))),
% 8.48/6.43 inference(unit_resolution,[status(thm)],[23225, 23224])).
% 8.48/6.43 tff(23227,plain,
% 8.48/6.43 (~((~v1(constB186)) | (~v102(constB186)))),
% 8.48/6.43 inference(unit_resolution,[status(thm)],[23226, 23221])).
% 8.48/6.43 tff(23228,plain,
% 8.48/6.43 ((~(v101(constB186) <=> (~((~v1(constB186)) | (~v102(constB186)))))) | v101(constB186) | ((~v1(constB186)) | (~v102(constB186)))),
% 8.48/6.43 inference(tautology,[status(thm)],[])).
% 8.48/6.43 tff(23229,plain,
% 8.48/6.43 (v101(constB186)),
% 8.48/6.43 inference(unit_resolution,[status(thm)],[23228, 23227, 23208])).
% 8.48/6.43 tff(23230,plain,
% 8.48/6.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB185, constB186)) | (v110(constB186) <=> v108(constB185)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB185, constB186)) | (v110(constB186) <=> v108(constB185)))),
% 8.48/6.43 inference(rewrite,[status(thm)],[])).
% 8.48/6.43 tff(23231,plain,
% 8.48/6.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB185, constB186)) | (v110(constB186) <=> v108(constB185)))),
% 8.48/6.43 inference(quant_inst,[status(thm)],[])).
% 8.48/6.43 tff(23232,plain,
% 8.48/6.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB185, constB186)) | (v110(constB186) <=> v108(constB185))),
% 8.48/6.43 inference(modus_ponens,[status(thm)],[23231, 23230])).
% 8.48/6.43 tff(23233,plain,
% 8.48/6.43 (v110(constB186) <=> v108(constB185)),
% 8.48/6.43 inference(unit_resolution,[status(thm)],[23232, 15296, 3285])).
% 8.48/6.43 tff(23234,plain,
% 8.48/6.43 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB185) <=> (v111(constB185) | v112(constB185)))),
% 8.48/6.43 inference(quant_inst,[status(thm)],[])).
% 8.48/6.43 tff(23235,plain,
% 8.48/6.43 (v108(constB185) <=> (v111(constB185) | v112(constB185))),
% 8.48/6.43 inference(unit_resolution,[status(thm)],[23234, 3296])).
% 8.48/6.43 tff(23236,plain,
% 8.48/6.43 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB185) <=> (~((~v113(constB185)) | (~v126(constB185)))))),
% 8.48/6.43 inference(quant_inst,[status(thm)],[])).
% 8.48/6.43 tff(23237,plain,
% 8.48/6.43 (v112(constB185) <=> (~((~v113(constB185)) | (~v126(constB185))))),
% 8.48/6.43 inference(unit_resolution,[status(thm)],[23236, 3308])).
% 8.48/6.43 tff(23238,plain,
% 8.48/6.43 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB185) <=> (v114(constB185) | v125(constB185)))),
% 8.48/6.43 inference(quant_inst,[status(thm)],[])).
% 8.48/6.43 tff(23239,plain,
% 8.48/6.43 (v113(constB185) <=> (v114(constB185) | v125(constB185))),
% 8.48/6.43 inference(unit_resolution,[status(thm)],[23238, 3317])).
% 8.48/6.43 tff(23240,plain,
% 8.48/6.43 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB185) <=> (~(v90(constB185, bitIndex0) | (~v90(constB185, bitIndex1)) | (~v90(constB185, bitIndex2)))))),
% 8.48/6.43 inference(quant_inst,[status(thm)],[])).
% 8.48/6.43 tff(23241,plain,
% 8.48/6.43 (v125(constB185) <=> (~(v90(constB185, bitIndex0) | (~v90(constB185, bitIndex1)) | (~v90(constB185, bitIndex2))))),
% 8.48/6.43 inference(unit_resolution,[status(thm)],[23240, 3766])).
% 8.48/6.43 tff(23242,plain,
% 8.48/6.43 ((((~v90(constB185, bitIndex1)) <=> v90(constB184, bitIndex1)) | ((~v90(constB185, bitIndex2)) <=> v90(constB184, bitIndex2)) | ((~v90(constB185, bitIndex0)) <=> v90(constB184, bitIndex0))) | (~((~v90(constB185, bitIndex0)) <=> v90(constB184, bitIndex0)))),
% 8.48/6.43 inference(tautology,[status(thm)],[])).
% 8.48/6.43 tff(23243,plain,
% 8.48/6.43 (~((~v90(constB185, bitIndex0)) <=> v90(constB184, bitIndex0))),
% 8.48/6.43 inference(unit_resolution,[status(thm)],[23242, 15352])).
% 8.48/6.43 tff(23244,plain,
% 8.48/6.43 ((((~v129(constB184, bitIndex2)) <=> v127(constB183, bitIndex2)) | ((~v129(constB184, bitIndex1)) <=> v127(constB183, bitIndex1)) | ((~v129(constB184, bitIndex0)) <=> v127(constB183, bitIndex0))) | (~((~v129(constB184, bitIndex0)) <=> v127(constB183, bitIndex0)))),
% 8.48/6.43 inference(tautology,[status(thm)],[])).
% 8.48/6.43 tff(23245,plain,
% 8.48/6.43 (~((~v129(constB184, bitIndex0)) <=> v127(constB183, bitIndex0))),
% 8.48/6.43 inference(unit_resolution,[status(thm)],[23244, 15361])).
% 8.48/6.43 tff(23246,plain,
% 8.48/6.43 ((((~v127(constB183, bitIndex2)) <=> v130(constB183, bitIndex2)) | ((~v127(constB183, bitIndex1)) <=> v130(constB183, bitIndex1)) | ((~v127(constB183, bitIndex0)) <=> v130(constB183, bitIndex0))) | (~((~v127(constB183, bitIndex0)) <=> v130(constB183, bitIndex0)))),
% 8.48/6.43 inference(tautology,[status(thm)],[])).
% 8.48/6.43 tff(23247,plain,
% 8.48/6.43 (~((~v127(constB183, bitIndex0)) <=> v130(constB183, bitIndex0))),
% 8.48/6.43 inference(unit_resolution,[status(thm)],[23246, 15375])).
% 8.48/6.43 tff(23248,plain,
% 8.48/6.43 ((v130(constB183, bitIndex0) | (~v130(constB183, bitIndex2)) | (~v130(constB183, bitIndex1))) | (~v130(constB183, bitIndex0))),
% 8.48/6.43 inference(tautology,[status(thm)],[])).
% 8.48/6.43 tff(23249,plain,
% 8.48/6.43 (~v130(constB183, bitIndex0)),
% 8.48/6.43 inference(unit_resolution,[status(thm)],[23248, 23013])).
% 8.48/6.43 tff(23250,plain,
% 8.48/6.43 (((~v127(constB183, bitIndex0)) <=> v130(constB183, bitIndex0)) | (~v127(constB183, bitIndex0)) | v130(constB183, bitIndex0)),
% 8.48/6.43 inference(tautology,[status(thm)],[])).
% 8.48/6.43 tff(23251,plain,
% 8.48/6.43 (~v127(constB183, bitIndex0)),
% 8.48/6.43 inference(unit_resolution,[status(thm)],[23250, 23249, 23247])).
% 8.48/6.43 tff(23252,plain,
% 8.48/6.43 (((~v129(constB184, bitIndex0)) <=> v127(constB183, bitIndex0)) | (~v129(constB184, bitIndex0)) | v127(constB183, bitIndex0)),
% 8.48/6.43 inference(tautology,[status(thm)],[])).
% 8.48/6.43 tff(23253,plain,
% 8.48/6.43 (~v129(constB184, bitIndex0)),
% 8.48/6.43 inference(unit_resolution,[status(thm)],[23252, 23251, 23245])).
% 8.48/6.43 tff(23254,plain,
% 8.48/6.43 ((((~v90(constB184, bitIndex2)) <=> v129(constB184, bitIndex2)) | ((~v90(constB184, bitIndex1)) <=> v129(constB184, bitIndex1)) | ((~v90(constB184, bitIndex0)) <=> v129(constB184, bitIndex0))) | (~((~v90(constB184, bitIndex0)) <=> v129(constB184, bitIndex0)))),
% 8.48/6.43 inference(tautology,[status(thm)],[])).
% 8.48/6.43 tff(23255,plain,
% 8.48/6.43 (~((~v90(constB184, bitIndex0)) <=> v129(constB184, bitIndex0))),
% 8.48/6.43 inference(unit_resolution,[status(thm)],[23254, 23102])).
% 8.48/6.43 tff(23256,plain,
% 8.48/6.43 (((~v90(constB184, bitIndex0)) <=> v129(constB184, bitIndex0)) | (~v90(constB184, bitIndex0)) | v129(constB184, bitIndex0)),
% 8.48/6.43 inference(tautology,[status(thm)],[])).
% 8.48/6.43 tff(23257,plain,
% 8.48/6.43 (~v90(constB184, bitIndex0)),
% 8.48/6.43 inference(unit_resolution,[status(thm)],[23256, 23255, 23253])).
% 8.48/6.43 tff(23258,plain,
% 8.48/6.43 (((~v90(constB185, bitIndex0)) <=> v90(constB184, bitIndex0)) | (~v90(constB185, bitIndex0)) | v90(constB184, bitIndex0)),
% 8.48/6.43 inference(tautology,[status(thm)],[])).
% 8.48/6.43 tff(23259,plain,
% 8.48/6.43 (~v90(constB185, bitIndex0)),
% 8.48/6.43 inference(unit_resolution,[status(thm)],[23258, 23257, 23243])).
% 8.48/6.43 tff(23260,plain,
% 8.48/6.43 ((~(v90(constB185, bitIndex0) | (~v90(constB185, bitIndex1)) | (~v90(constB185, bitIndex2)))) | v90(constB185, bitIndex0) | (~v90(constB185, bitIndex1)) | (~v90(constB185, bitIndex2))),
% 8.48/6.43 inference(tautology,[status(thm)],[])).
% 8.48/6.43 tff(23261,plain,
% 8.48/6.43 (~(v90(constB185, bitIndex0) | (~v90(constB185, bitIndex1)) | (~v90(constB185, bitIndex2)))),
% 8.48/6.43 inference(unit_resolution,[status(thm)],[23260, 23137, 23259, 23108])).
% 8.48/6.43 tff(23262,plain,
% 8.48/6.43 ((~(v125(constB185) <=> (~(v90(constB185, bitIndex0) | (~v90(constB185, bitIndex1)) | (~v90(constB185, bitIndex2)))))) | v125(constB185) | (v90(constB185, bitIndex0) | (~v90(constB185, bitIndex1)) | (~v90(constB185, bitIndex2)))),
% 8.48/6.43 inference(tautology,[status(thm)],[])).
% 8.48/6.43 tff(23263,plain,
% 8.48/6.43 (v125(constB185)),
% 8.48/6.43 inference(unit_resolution,[status(thm)],[23262, 23261, 23241])).
% 8.48/6.43 tff(23264,plain,
% 8.48/6.43 ((v114(constB185) | v125(constB185)) | (~v125(constB185))),
% 8.48/6.43 inference(tautology,[status(thm)],[])).
% 8.48/6.43 tff(23265,plain,
% 8.48/6.43 (v114(constB185) | v125(constB185)),
% 8.48/6.43 inference(unit_resolution,[status(thm)],[23264, 23263])).
% 8.48/6.43 tff(23266,plain,
% 8.48/6.43 ((~(v113(constB185) <=> (v114(constB185) | v125(constB185)))) | v113(constB185) | (~(v114(constB185) | v125(constB185)))),
% 8.48/6.43 inference(tautology,[status(thm)],[])).
% 8.48/6.43 tff(23267,plain,
% 8.48/6.43 (v113(constB185)),
% 8.48/6.43 inference(unit_resolution,[status(thm)],[23266, 23265, 23239])).
% 8.48/6.43 tff(23268,plain,
% 8.48/6.43 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB185)) <=> v111(constB185))),
% 8.48/6.43 inference(quant_inst,[status(thm)],[])).
% 8.48/6.43 tff(23269,plain,
% 8.48/6.43 ((~v126(constB185)) <=> v111(constB185)),
% 8.48/6.43 inference(unit_resolution,[status(thm)],[23268, 3396])).
% 8.48/6.43 tff(23270,plain,
% 8.48/6.43 ((~((~v126(constB185)) <=> v111(constB185))) | v126(constB185) | v111(constB185)),
% 8.48/6.43 inference(tautology,[status(thm)],[])).
% 8.48/6.43 tff(23271,plain,
% 8.48/6.43 ((~((~v126(constB185)) <=> v111(constB185))) | v126(constB185)),
% 8.48/6.43 inference(unit_resolution,[status(thm)],[23270, 15309])).
% 8.48/6.43 tff(23272,plain,
% 8.48/6.43 (v126(constB185)),
% 8.48/6.43 inference(unit_resolution,[status(thm)],[23271, 23269])).
% 8.48/6.43 tff(23273,plain,
% 8.48/6.43 ((~((~v113(constB185)) | (~v126(constB185)))) | (~v113(constB185)) | (~v126(constB185))),
% 8.48/6.43 inference(tautology,[status(thm)],[])).
% 8.48/6.43 tff(23274,plain,
% 8.48/6.43 ((~((~v113(constB185)) | (~v126(constB185)))) | (~v113(constB185))),
% 8.48/6.43 inference(unit_resolution,[status(thm)],[23273, 23272])).
% 8.48/6.43 tff(23275,plain,
% 8.48/6.43 (~((~v113(constB185)) | (~v126(constB185)))),
% 8.48/6.43 inference(unit_resolution,[status(thm)],[23274, 23267])).
% 8.48/6.43 tff(23276,plain,
% 8.48/6.43 ((~(v112(constB185) <=> (~((~v113(constB185)) | (~v126(constB185)))))) | v112(constB185) | ((~v113(constB185)) | (~v126(constB185)))),
% 8.48/6.43 inference(tautology,[status(thm)],[])).
% 8.48/6.43 tff(23277,plain,
% 8.48/6.43 (v112(constB185)),
% 8.48/6.43 inference(unit_resolution,[status(thm)],[23276, 23275, 23237])).
% 8.48/6.43 tff(23278,plain,
% 8.48/6.43 ((v111(constB185) | v112(constB185)) | (~v112(constB185))),
% 8.48/6.43 inference(tautology,[status(thm)],[])).
% 8.48/6.43 tff(23279,plain,
% 8.48/6.43 (v111(constB185) | v112(constB185)),
% 8.48/6.43 inference(unit_resolution,[status(thm)],[23278, 23277])).
% 8.48/6.43 tff(23280,plain,
% 8.48/6.43 ((~(v108(constB185) <=> (v111(constB185) | v112(constB185)))) | v108(constB185) | (~(v111(constB185) | v112(constB185)))),
% 8.48/6.43 inference(tautology,[status(thm)],[])).
% 8.48/6.43 tff(23281,plain,
% 8.48/6.43 (v108(constB185)),
% 8.48/6.43 inference(unit_resolution,[status(thm)],[23280, 23279, 23235])).
% 8.48/6.43 tff(23282,plain,
% 8.48/6.43 ((~(v110(constB186) <=> v108(constB185))) | v110(constB186) | (~v108(constB185))),
% 8.48/6.43 inference(tautology,[status(thm)],[])).
% 8.48/6.43 tff(23283,plain,
% 8.48/6.43 (v110(constB186)),
% 8.48/6.43 inference(unit_resolution,[status(thm)],[23282, 23281, 23233])).
% 8.48/6.43 tff(23284,plain,
% 8.48/6.43 ((~((~v101(constB186)) | (~v110(constB186)))) | (~v101(constB186)) | (~v110(constB186))),
% 8.48/6.43 inference(tautology,[status(thm)],[])).
% 8.48/6.43 tff(23285,plain,
% 8.48/6.43 (~((~v101(constB186)) | (~v110(constB186)))),
% 8.48/6.43 inference(unit_resolution,[status(thm)],[23284, 23283, 23229])).
% 8.48/6.43 tff(23286,plain,
% 8.48/6.43 ((~(v100(constB186) <=> (~((~v101(constB186)) | (~v110(constB186)))))) | v100(constB186) | ((~v101(constB186)) | (~v110(constB186)))),
% 8.48/6.43 inference(tautology,[status(thm)],[])).
% 8.48/6.43 tff(23287,plain,
% 8.48/6.43 (v100(constB186)),
% 8.48/6.43 inference(unit_resolution,[status(thm)],[23286, 23285, 23201])).
% 8.48/6.43 tff(23288,plain,
% 8.48/6.43 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB186)) | (~(((~v90(constB186, bitIndex0)) <=> v129(constB186, bitIndex0)) | ((~v90(constB186, bitIndex2)) <=> v129(constB186, bitIndex2)) | ((~v90(constB186, bitIndex1)) <=> v129(constB186, bitIndex1)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB186)) | (~(((~v90(constB186, bitIndex0)) <=> v129(constB186, bitIndex0)) | ((~v90(constB186, bitIndex2)) <=> v129(constB186, bitIndex2)) | ((~v90(constB186, bitIndex1)) <=> v129(constB186, bitIndex1)))))),
% 8.48/6.43 inference(rewrite,[status(thm)],[])).
% 8.48/6.43 tff(23289,plain,
% 8.48/6.43 (((~v100(constB186)) | (~(((~v90(constB186, bitIndex2)) <=> v129(constB186, bitIndex2)) | ((~v90(constB186, bitIndex1)) <=> v129(constB186, bitIndex1)) | ((~v90(constB186, bitIndex0)) <=> v129(constB186, bitIndex0))))) <=> ((~v100(constB186)) | (~(((~v90(constB186, bitIndex0)) <=> v129(constB186, bitIndex0)) | ((~v90(constB186, bitIndex2)) <=> v129(constB186, bitIndex2)) | ((~v90(constB186, bitIndex1)) <=> v129(constB186, bitIndex1)))))),
% 8.48/6.43 inference(rewrite,[status(thm)],[])).
% 8.48/6.43 tff(23290,plain,
% 8.48/6.43 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB186)) | (~(((~v90(constB186, bitIndex2)) <=> v129(constB186, bitIndex2)) | ((~v90(constB186, bitIndex1)) <=> v129(constB186, bitIndex1)) | ((~v90(constB186, bitIndex0)) <=> v129(constB186, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB186)) | (~(((~v90(constB186, bitIndex0)) <=> v129(constB186, bitIndex0)) | ((~v90(constB186, bitIndex2)) <=> v129(constB186, bitIndex2)) | ((~v90(constB186, bitIndex1)) <=> v129(constB186, bitIndex1))))))),
% 8.48/6.44 inference(monotonicity,[status(thm)],[23289])).
% 8.48/6.44 tff(23291,plain,
% 8.48/6.44 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB186)) | (~(((~v90(constB186, bitIndex2)) <=> v129(constB186, bitIndex2)) | ((~v90(constB186, bitIndex1)) <=> v129(constB186, bitIndex1)) | ((~v90(constB186, bitIndex0)) <=> v129(constB186, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB186)) | (~(((~v90(constB186, bitIndex0)) <=> v129(constB186, bitIndex0)) | ((~v90(constB186, bitIndex2)) <=> v129(constB186, bitIndex2)) | ((~v90(constB186, bitIndex1)) <=> v129(constB186, bitIndex1)))))),
% 8.48/6.44 inference(transitivity,[status(thm)],[23290, 23288])).
% 8.48/6.44 tff(23292,plain,
% 8.48/6.44 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB186)) | (~(((~v90(constB186, bitIndex2)) <=> v129(constB186, bitIndex2)) | ((~v90(constB186, bitIndex1)) <=> v129(constB186, bitIndex1)) | ((~v90(constB186, bitIndex0)) <=> v129(constB186, bitIndex0)))))),
% 8.48/6.44 inference(quant_inst,[status(thm)],[])).
% 8.48/6.44 tff(23293,plain,
% 8.48/6.44 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB186)) | (~(((~v90(constB186, bitIndex0)) <=> v129(constB186, bitIndex0)) | ((~v90(constB186, bitIndex2)) <=> v129(constB186, bitIndex2)) | ((~v90(constB186, bitIndex1)) <=> v129(constB186, bitIndex1))))),
% 8.48/6.44 inference(modus_ponens,[status(thm)],[23292, 23291])).
% 8.48/6.44 tff(23294,plain,
% 8.48/6.44 ((~v100(constB186)) | (~(((~v90(constB186, bitIndex0)) <=> v129(constB186, bitIndex0)) | ((~v90(constB186, bitIndex2)) <=> v129(constB186, bitIndex2)) | ((~v90(constB186, bitIndex1)) <=> v129(constB186, bitIndex1))))),
% 8.48/6.44 inference(unit_resolution,[status(thm)],[23293, 3429])).
% 8.48/6.44 tff(23295,plain,
% 8.48/6.44 (~(((~v90(constB186, bitIndex0)) <=> v129(constB186, bitIndex0)) | ((~v90(constB186, bitIndex2)) <=> v129(constB186, bitIndex2)) | ((~v90(constB186, bitIndex1)) <=> v129(constB186, bitIndex1)))),
% 8.48/6.44 inference(unit_resolution,[status(thm)],[23294, 23287])).
% 8.48/6.44 tff(23296,plain,
% 8.48/6.44 ((((~v90(constB186, bitIndex0)) <=> v129(constB186, bitIndex0)) | ((~v90(constB186, bitIndex2)) <=> v129(constB186, bitIndex2)) | ((~v90(constB186, bitIndex1)) <=> v129(constB186, bitIndex1))) | (~((~v90(constB186, bitIndex2)) <=> v129(constB186, bitIndex2)))),
% 8.48/6.44 inference(tautology,[status(thm)],[])).
% 8.48/6.44 tff(23297,plain,
% 8.48/6.44 (~((~v90(constB186, bitIndex2)) <=> v129(constB186, bitIndex2))),
% 8.48/6.44 inference(unit_resolution,[status(thm)],[23296, 23295])).
% 8.48/6.44 tff(23298,plain,
% 8.48/6.44 (((~v90(constB186, bitIndex2)) <=> v129(constB186, bitIndex2)) | (~v90(constB186, bitIndex2)) | v129(constB186, bitIndex2)),
% 8.48/6.44 inference(tautology,[status(thm)],[])).
% 8.48/6.44 tff(23299,plain,
% 8.48/6.44 (~v90(constB186, bitIndex2)),
% 8.48/6.44 inference(unit_resolution,[status(thm)],[23298, 23297, 23197])).
% 8.48/6.44 tff(23300,plain,
% 8.48/6.44 (((~v90(constB187, bitIndex2)) <=> v90(constB186, bitIndex2)) | (~v90(constB187, bitIndex2)) | v90(constB186, bitIndex2)),
% 8.48/6.44 inference(tautology,[status(thm)],[])).
% 8.48/6.44 tff(23301,plain,
% 8.48/6.44 (~v90(constB187, bitIndex2)),
% 8.48/6.44 inference(unit_resolution,[status(thm)],[23300, 23299, 15293])).
% 8.48/6.44 tff(23302,plain,
% 8.48/6.44 ((((~v90(constB187, bitIndex1)) <=> v90(constB186, bitIndex1)) | ((~v90(constB187, bitIndex2)) <=> v90(constB186, bitIndex2)) | ((~v90(constB187, bitIndex0)) <=> v90(constB186, bitIndex0))) | (~((~v90(constB187, bitIndex0)) <=> v90(constB186, bitIndex0)))),
% 8.48/6.44 inference(tautology,[status(thm)],[])).
% 8.48/6.44 tff(23303,plain,
% 8.48/6.44 (~((~v90(constB187, bitIndex0)) <=> v90(constB186, bitIndex0))),
% 8.48/6.44 inference(unit_resolution,[status(thm)],[23302, 15291])).
% 8.48/6.44 tff(23304,plain,
% 8.48/6.44 ((((~v129(constB186, bitIndex2)) <=> v127(constB185, bitIndex2)) | ((~v129(constB186, bitIndex1)) <=> v127(constB185, bitIndex1)) | ((~v129(constB186, bitIndex0)) <=> v127(constB185, bitIndex0))) | (~((~v129(constB186, bitIndex0)) <=> v127(constB185, bitIndex0)))),
% 8.48/6.44 inference(tautology,[status(thm)],[])).
% 8.48/6.44 tff(23305,plain,
% 8.48/6.44 (~((~v129(constB186, bitIndex0)) <=> v127(constB185, bitIndex0))),
% 8.48/6.44 inference(unit_resolution,[status(thm)],[23304, 15300])).
% 8.48/6.44 tff(23306,plain,
% 8.48/6.44 ((((~v127(constB185, bitIndex2)) <=> v130(constB185, bitIndex2)) | ((~v127(constB185, bitIndex1)) <=> v130(constB185, bitIndex1)) | ((~v127(constB185, bitIndex0)) <=> v130(constB185, bitIndex0))) | (~((~v127(constB185, bitIndex0)) <=> v130(constB185, bitIndex0)))),
% 8.48/6.44 inference(tautology,[status(thm)],[])).
% 8.48/6.44 tff(23307,plain,
% 8.48/6.44 (~((~v127(constB185, bitIndex0)) <=> v130(constB185, bitIndex0))),
% 8.48/6.44 inference(unit_resolution,[status(thm)],[23306, 15314])).
% 8.48/6.44 tff(23308,plain,
% 8.48/6.44 ((v130(constB185, bitIndex2) | v130(constB185, bitIndex1) | (~v130(constB185, bitIndex0))) | v130(constB185, bitIndex0)),
% 8.48/6.44 inference(tautology,[status(thm)],[])).
% 8.48/6.44 tff(23309,plain,
% 8.48/6.44 (v130(constB185, bitIndex0)),
% 8.48/6.44 inference(unit_resolution,[status(thm)],[23308, 23191])).
% 8.48/6.44 tff(23310,plain,
% 8.48/6.44 (((~v127(constB185, bitIndex0)) <=> v130(constB185, bitIndex0)) | v127(constB185, bitIndex0) | (~v130(constB185, bitIndex0))),
% 8.48/6.44 inference(tautology,[status(thm)],[])).
% 8.48/6.44 tff(23311,plain,
% 8.48/6.44 (v127(constB185, bitIndex0)),
% 8.48/6.44 inference(unit_resolution,[status(thm)],[23310, 23309, 23307])).
% 8.48/6.44 tff(23312,plain,
% 8.48/6.44 (((~v129(constB186, bitIndex0)) <=> v127(constB185, bitIndex0)) | v129(constB186, bitIndex0) | (~v127(constB185, bitIndex0))),
% 8.48/6.44 inference(tautology,[status(thm)],[])).
% 8.48/6.44 tff(23313,plain,
% 8.48/6.44 (v129(constB186, bitIndex0)),
% 8.48/6.44 inference(unit_resolution,[status(thm)],[23312, 23311, 23305])).
% 8.48/6.44 tff(23314,plain,
% 8.48/6.44 ((((~v90(constB186, bitIndex0)) <=> v129(constB186, bitIndex0)) | ((~v90(constB186, bitIndex2)) <=> v129(constB186, bitIndex2)) | ((~v90(constB186, bitIndex1)) <=> v129(constB186, bitIndex1))) | (~((~v90(constB186, bitIndex0)) <=> v129(constB186, bitIndex0)))),
% 8.48/6.44 inference(tautology,[status(thm)],[])).
% 8.48/6.44 tff(23315,plain,
% 8.48/6.44 (~((~v90(constB186, bitIndex0)) <=> v129(constB186, bitIndex0))),
% 8.48/6.44 inference(unit_resolution,[status(thm)],[23314, 23295])).
% 8.48/6.44 tff(23316,plain,
% 8.48/6.44 (((~v90(constB186, bitIndex0)) <=> v129(constB186, bitIndex0)) | v90(constB186, bitIndex0) | (~v129(constB186, bitIndex0))),
% 8.48/6.44 inference(tautology,[status(thm)],[])).
% 8.48/6.44 tff(23317,plain,
% 8.48/6.44 (v90(constB186, bitIndex0)),
% 8.48/6.44 inference(unit_resolution,[status(thm)],[23316, 23315, 23313])).
% 8.48/6.44 tff(23318,plain,
% 8.48/6.44 (((~v90(constB187, bitIndex0)) <=> v90(constB186, bitIndex0)) | v90(constB187, bitIndex0) | (~v90(constB186, bitIndex0))),
% 8.48/6.44 inference(tautology,[status(thm)],[])).
% 8.48/6.44 tff(23319,plain,
% 8.48/6.44 (v90(constB187, bitIndex0)),
% 8.48/6.44 inference(unit_resolution,[status(thm)],[23318, 23317, 23303])).
% 8.48/6.44 tff(23320,plain,
% 8.48/6.44 ((((~v90(constB187, bitIndex1)) <=> v90(constB186, bitIndex1)) | ((~v90(constB187, bitIndex2)) <=> v90(constB186, bitIndex2)) | ((~v90(constB187, bitIndex0)) <=> v90(constB186, bitIndex0))) | (~((~v90(constB187, bitIndex1)) <=> v90(constB186, bitIndex1)))),
% 8.48/6.44 inference(tautology,[status(thm)],[])).
% 8.48/6.44 tff(23321,plain,
% 8.48/6.44 (~((~v90(constB187, bitIndex1)) <=> v90(constB186, bitIndex1))),
% 8.48/6.44 inference(unit_resolution,[status(thm)],[23320, 15291])).
% 8.48/6.44 tff(23322,plain,
% 8.48/6.44 ((((~v129(constB186, bitIndex2)) <=> v127(constB185, bitIndex2)) | ((~v129(constB186, bitIndex1)) <=> v127(constB185, bitIndex1)) | ((~v129(constB186, bitIndex0)) <=> v127(constB185, bitIndex0))) | (~((~v129(constB186, bitIndex1)) <=> v127(constB185, bitIndex1)))),
% 8.48/6.44 inference(tautology,[status(thm)],[])).
% 8.48/6.44 tff(23323,plain,
% 8.48/6.44 (~((~v129(constB186, bitIndex1)) <=> v127(constB185, bitIndex1))),
% 8.48/6.44 inference(unit_resolution,[status(thm)],[23322, 15300])).
% 8.48/6.44 tff(23324,plain,
% 8.48/6.44 ((((~v127(constB185, bitIndex2)) <=> v130(constB185, bitIndex2)) | ((~v127(constB185, bitIndex1)) <=> v130(constB185, bitIndex1)) | ((~v127(constB185, bitIndex0)) <=> v130(constB185, bitIndex0))) | (~((~v127(constB185, bitIndex1)) <=> v130(constB185, bitIndex1)))),
% 8.48/6.44 inference(tautology,[status(thm)],[])).
% 8.48/6.44 tff(23325,plain,
% 8.48/6.44 (~((~v127(constB185, bitIndex1)) <=> v130(constB185, bitIndex1))),
% 8.48/6.44 inference(unit_resolution,[status(thm)],[23324, 15314])).
% 8.48/6.44 tff(23326,plain,
% 8.48/6.44 ((v130(constB185, bitIndex2) | v130(constB185, bitIndex1) | (~v130(constB185, bitIndex0))) | (~v130(constB185, bitIndex1))),
% 8.48/6.44 inference(tautology,[status(thm)],[])).
% 8.48/6.44 tff(23327,plain,
% 8.48/6.44 (~v130(constB185, bitIndex1)),
% 8.48/6.44 inference(unit_resolution,[status(thm)],[23326, 23191])).
% 8.48/6.44 tff(23328,plain,
% 8.48/6.44 (((~v127(constB185, bitIndex1)) <=> v130(constB185, bitIndex1)) | (~v127(constB185, bitIndex1)) | v130(constB185, bitIndex1)),
% 8.48/6.44 inference(tautology,[status(thm)],[])).
% 8.48/6.44 tff(23329,plain,
% 8.48/6.44 (~v127(constB185, bitIndex1)),
% 8.48/6.44 inference(unit_resolution,[status(thm)],[23328, 23327, 23325])).
% 8.48/6.44 tff(23330,plain,
% 8.48/6.44 (((~v129(constB186, bitIndex1)) <=> v127(constB185, bitIndex1)) | (~v129(constB186, bitIndex1)) | v127(constB185, bitIndex1)),
% 8.48/6.44 inference(tautology,[status(thm)],[])).
% 8.48/6.44 tff(23331,plain,
% 8.48/6.44 (~v129(constB186, bitIndex1)),
% 8.48/6.44 inference(unit_resolution,[status(thm)],[23330, 23329, 23323])).
% 8.48/6.44 tff(23332,plain,
% 8.48/6.44 ((((~v90(constB186, bitIndex0)) <=> v129(constB186, bitIndex0)) | ((~v90(constB186, bitIndex2)) <=> v129(constB186, bitIndex2)) | ((~v90(constB186, bitIndex1)) <=> v129(constB186, bitIndex1))) | (~((~v90(constB186, bitIndex1)) <=> v129(constB186, bitIndex1)))),
% 8.48/6.44 inference(tautology,[status(thm)],[])).
% 8.48/6.44 tff(23333,plain,
% 8.48/6.44 (~((~v90(constB186, bitIndex1)) <=> v129(constB186, bitIndex1))),
% 8.48/6.44 inference(unit_resolution,[status(thm)],[23332, 23295])).
% 8.48/6.44 tff(23334,plain,
% 8.48/6.44 (((~v90(constB186, bitIndex1)) <=> v129(constB186, bitIndex1)) | (~v90(constB186, bitIndex1)) | v129(constB186, bitIndex1)),
% 8.48/6.44 inference(tautology,[status(thm)],[])).
% 8.48/6.44 tff(23335,plain,
% 8.48/6.44 (~v90(constB186, bitIndex1)),
% 8.48/6.44 inference(unit_resolution,[status(thm)],[23334, 23333, 23331])).
% 8.48/6.44 tff(23336,plain,
% 8.48/6.44 (((~v90(constB187, bitIndex1)) <=> v90(constB186, bitIndex1)) | (~v90(constB187, bitIndex1)) | v90(constB186, bitIndex1)),
% 8.48/6.44 inference(tautology,[status(thm)],[])).
% 8.48/6.44 tff(23337,plain,
% 8.48/6.44 (~v90(constB187, bitIndex1)),
% 8.48/6.44 inference(unit_resolution,[status(thm)],[23336, 23335, 23321])).
% 8.48/6.44 tff(23338,plain,
% 8.48/6.44 ((~(v90(constB187, bitIndex1) | v90(constB187, bitIndex2) | (~v90(constB187, bitIndex0)))) | v90(constB187, bitIndex1) | v90(constB187, bitIndex2) | (~v90(constB187, bitIndex0))),
% 8.48/6.44 inference(tautology,[status(thm)],[])).
% 8.48/6.44 tff(23339,plain,
% 8.48/6.44 (~(v90(constB187, bitIndex1) | v90(constB187, bitIndex2) | (~v90(constB187, bitIndex0)))),
% 8.48/6.44 inference(unit_resolution,[status(thm)],[23338, 23337, 23319, 23301])).
% 8.48/6.44 tff(23340,plain,
% 8.48/6.44 ((~(v120(constB187) <=> (~(v90(constB187, bitIndex1) | v90(constB187, bitIndex2) | (~v90(constB187, bitIndex0)))))) | v120(constB187) | (v90(constB187, bitIndex1) | v90(constB187, bitIndex2) | (~v90(constB187, bitIndex0)))),
% 8.48/6.44 inference(tautology,[status(thm)],[])).
% 8.48/6.44 tff(23341,plain,
% 8.48/6.44 (v120(constB187)),
% 8.48/6.44 inference(unit_resolution,[status(thm)],[23340, 23339, 15257])).
% 8.48/6.44 tff(23342,plain,
% 8.48/6.44 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB187)) | (~(v130(constB187, bitIndex2) | v130(constB187, bitIndex0) | (~v130(constB187, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB187)) | (~(v130(constB187, bitIndex2) | v130(constB187, bitIndex0) | (~v130(constB187, bitIndex1)))))),
% 8.48/6.44 inference(rewrite,[status(thm)],[])).
% 8.48/6.44 tff(23343,plain,
% 8.48/6.44 (((~v120(constB187)) | (~(v130(constB187, bitIndex0) | v130(constB187, bitIndex2) | (~v130(constB187, bitIndex1))))) <=> ((~v120(constB187)) | (~(v130(constB187, bitIndex2) | v130(constB187, bitIndex0) | (~v130(constB187, bitIndex1)))))),
% 8.48/6.44 inference(rewrite,[status(thm)],[])).
% 8.48/6.44 tff(23344,plain,
% 8.48/6.44 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB187)) | (~(v130(constB187, bitIndex0) | v130(constB187, bitIndex2) | (~v130(constB187, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB187)) | (~(v130(constB187, bitIndex2) | v130(constB187, bitIndex0) | (~v130(constB187, bitIndex1))))))),
% 8.48/6.44 inference(monotonicity,[status(thm)],[23343])).
% 8.48/6.44 tff(23345,plain,
% 8.48/6.44 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB187)) | (~(v130(constB187, bitIndex0) | v130(constB187, bitIndex2) | (~v130(constB187, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB187)) | (~(v130(constB187, bitIndex2) | v130(constB187, bitIndex0) | (~v130(constB187, bitIndex1)))))),
% 8.48/6.44 inference(transitivity,[status(thm)],[23344, 23342])).
% 8.48/6.44 tff(23346,plain,
% 8.48/6.44 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB187)) | (~(v130(constB187, bitIndex0) | v130(constB187, bitIndex2) | (~v130(constB187, bitIndex1)))))),
% 8.48/6.44 inference(quant_inst,[status(thm)],[])).
% 8.48/6.44 tff(23347,plain,
% 8.48/6.44 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB187)) | (~(v130(constB187, bitIndex2) | v130(constB187, bitIndex0) | (~v130(constB187, bitIndex1))))),
% 8.48/6.44 inference(modus_ponens,[status(thm)],[23346, 23345])).
% 8.48/6.44 tff(23348,plain,
% 8.48/6.44 ((~v120(constB187)) | (~(v130(constB187, bitIndex2) | v130(constB187, bitIndex0) | (~v130(constB187, bitIndex1))))),
% 8.48/6.44 inference(unit_resolution,[status(thm)],[23347, 3881])).
% 8.48/6.44 tff(23349,plain,
% 8.48/6.44 (~(v130(constB187, bitIndex2) | v130(constB187, bitIndex0) | (~v130(constB187, bitIndex1)))),
% 8.48/6.44 inference(unit_resolution,[status(thm)],[23348, 23341])).
% 8.48/6.44 tff(23350,plain,
% 8.48/6.44 ((v130(constB187, bitIndex2) | v130(constB187, bitIndex0) | (~v130(constB187, bitIndex1))) | (~v130(constB187, bitIndex2))),
% 8.48/6.44 inference(tautology,[status(thm)],[])).
% 8.48/6.44 tff(23351,plain,
% 8.48/6.44 (~v130(constB187, bitIndex2)),
% 8.48/6.44 inference(unit_resolution,[status(thm)],[23350, 23349])).
% 8.48/6.44 tff(23352,plain,
% 8.48/6.44 (((~v127(constB187, bitIndex2)) <=> v130(constB187, bitIndex2)) | (~v127(constB187, bitIndex2)) | v130(constB187, bitIndex2)),
% 8.48/6.44 inference(tautology,[status(thm)],[])).
% 8.48/6.44 tff(23353,plain,
% 8.48/6.44 (~v127(constB187, bitIndex2)),
% 8.48/6.44 inference(unit_resolution,[status(thm)],[23352, 23351, 15255])).
% 8.48/6.44 tff(23354,plain,
% 8.48/6.44 (((~v129(constB188, bitIndex2)) <=> v127(constB187, bitIndex2)) | (~v129(constB188, bitIndex2)) | v127(constB187, bitIndex2)),
% 8.48/6.44 inference(tautology,[status(thm)],[])).
% 8.48/6.44 tff(23355,plain,
% 8.48/6.44 (~v129(constB188, bitIndex2)),
% 8.48/6.44 inference(unit_resolution,[status(thm)],[23354, 23353, 15241])).
% 8.48/6.44 tff(23356,plain,
% 8.48/6.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB187, constB188)) | (v100(constB188) <=> (~((~v101(constB188)) | (~v110(constB188))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB187, constB188)) | (v100(constB188) <=> (~((~v101(constB188)) | (~v110(constB188))))))),
% 8.48/6.44 inference(rewrite,[status(thm)],[])).
% 8.48/6.44 tff(23357,plain,
% 8.48/6.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB187, constB188)) | (v100(constB188) <=> (~((~v101(constB188)) | (~v110(constB188))))))),
% 8.48/6.44 inference(quant_inst,[status(thm)],[])).
% 8.48/6.44 tff(23358,plain,
% 8.48/6.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB187, constB188)) | (v100(constB188) <=> (~((~v101(constB188)) | (~v110(constB188)))))),
% 8.48/6.44 inference(modus_ponens,[status(thm)],[23357, 23356])).
% 8.48/6.44 tff(23359,plain,
% 8.48/6.44 (v100(constB188) <=> (~((~v101(constB188)) | (~v110(constB188))))),
% 8.48/6.44 inference(unit_resolution,[status(thm)],[23358, 15235, 445])).
% 8.48/6.44 tff(23360,plain,
% 8.48/6.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB187, constB188)) | (v101(constB188) <=> (~((~v1(constB188)) | (~v102(constB188))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB187, constB188)) | (v101(constB188) <=> (~((~v1(constB188)) | (~v102(constB188))))))),
% 8.48/6.44 inference(rewrite,[status(thm)],[])).
% 8.48/6.44 tff(23361,plain,
% 8.48/6.44 (((~nextState(constB187, constB188)) | (v101(constB188) <=> (~((~v102(constB188)) | (~v1(constB188)))))) <=> ((~nextState(constB187, constB188)) | (v101(constB188) <=> (~((~v1(constB188)) | (~v102(constB188))))))),
% 8.48/6.44 inference(rewrite,[status(thm)],[])).
% 8.48/6.44 tff(23362,plain,
% 8.48/6.44 (((~![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) <=> (~((~v1(constB188)) | (~v102(constB188)))))))),
% 8.48/6.44 inference(monotonicity,[status(thm)],[23361])).
% 8.48/6.44 tff(23363,plain,
% 8.48/6.44 (((~![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) <=> (~((~v1(constB188)) | (~v102(constB188))))))),
% 8.48/6.44 inference(transitivity,[status(thm)],[23362, 23360])).
% 8.48/6.44 tff(23364,plain,
% 8.48/6.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB187, constB188)) | (v101(constB188) <=> (~((~v102(constB188)) | (~v1(constB188))))))),
% 8.48/6.44 inference(quant_inst,[status(thm)],[])).
% 8.48/6.44 tff(23365,plain,
% 8.48/6.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB187, constB188)) | (v101(constB188) <=> (~((~v1(constB188)) | (~v102(constB188)))))),
% 8.48/6.44 inference(modus_ponens,[status(thm)],[23364, 23363])).
% 8.48/6.44 tff(23366,plain,
% 8.48/6.44 (v101(constB188) <=> (~((~v1(constB188)) | (~v102(constB188))))),
% 8.48/6.44 inference(unit_resolution,[status(thm)],[23365, 15235, 465])).
% 8.48/6.44 tff(23367,plain,
% 8.48/6.44 (((~![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)))),
% 8.48/6.44 inference(rewrite,[status(thm)],[])).
% 8.48/6.44 tff(23368,plain,
% 8.48/6.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB187, constB188)) | ((~v102(constB188)) <=> v104(constB188)))),
% 8.48/6.44 inference(quant_inst,[status(thm)],[])).
% 8.48/6.44 tff(23369,plain,
% 8.48/6.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB187, constB188)) | ((~v102(constB188)) <=> v104(constB188))),
% 8.48/6.44 inference(modus_ponens,[status(thm)],[23368, 23367])).
% 8.48/6.44 tff(23370,plain,
% 8.48/6.44 ((~v102(constB188)) <=> v104(constB188)),
% 8.48/6.44 inference(unit_resolution,[status(thm)],[23369, 15235, 3244])).
% 8.48/6.44 tff(23371,plain,
% 8.48/6.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB187, constB188)) | (v104(constB188) <=> v1(constB187)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB187, constB188)) | (v104(constB188) <=> v1(constB187)))),
% 8.48/6.44 inference(rewrite,[status(thm)],[])).
% 8.48/6.44 tff(23372,plain,
% 8.48/6.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB187, constB188)) | (v104(constB188) <=> v1(constB187)))),
% 8.48/6.44 inference(quant_inst,[status(thm)],[])).
% 8.48/6.44 tff(23373,plain,
% 8.48/6.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB187, constB188)) | (v104(constB188) <=> v1(constB187))),
% 8.48/6.44 inference(modus_ponens,[status(thm)],[23372, 23371])).
% 8.48/6.44 tff(23374,plain,
% 8.48/6.44 (v104(constB188) <=> v1(constB187)),
% 8.48/6.44 inference(unit_resolution,[status(thm)],[23373, 15235, 3258])).
% 8.48/6.44 tff(23375,plain,
% 8.48/6.44 ((~(v104(constB188) <=> v1(constB187))) | (~v104(constB188)) | v1(constB187)),
% 8.48/6.44 inference(tautology,[status(thm)],[])).
% 8.48/6.44 tff(23376,plain,
% 8.48/6.44 ((~(v104(constB188) <=> v1(constB187))) | (~v104(constB188))),
% 8.48/6.44 inference(unit_resolution,[status(thm)],[23375, 15274])).
% 8.48/6.44 tff(23377,plain,
% 8.48/6.44 (~v104(constB188)),
% 8.48/6.44 inference(unit_resolution,[status(thm)],[23376, 23374])).
% 8.48/6.44 tff(23378,plain,
% 8.48/6.44 ((~((~v102(constB188)) <=> v104(constB188))) | v102(constB188) | v104(constB188)),
% 8.48/6.44 inference(tautology,[status(thm)],[])).
% 8.48/6.44 tff(23379,plain,
% 8.48/6.44 (v102(constB188)),
% 8.48/6.44 inference(unit_resolution,[status(thm)],[23378, 23377, 23370])).
% 8.48/6.44 tff(23380,plain,
% 8.48/6.44 (v1(constB188) <=> v1(constB188)),
% 8.48/6.44 inference(rewrite,[status(thm)],[])).
% 8.48/6.44 tff(23381,axiom,(v1(constB188)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_188')).
% 8.48/6.44 tff(23382,plain,
% 8.48/6.44 (v1(constB188)),
% 8.48/6.44 inference(modus_ponens,[status(thm)],[23381, 23380])).
% 8.48/6.44 tff(23383,plain,
% 8.48/6.44 ((~((~v1(constB188)) | (~v102(constB188)))) | (~v1(constB188)) | (~v102(constB188))),
% 8.48/6.44 inference(tautology,[status(thm)],[])).
% 8.48/6.44 tff(23384,plain,
% 8.48/6.44 ((~((~v1(constB188)) | (~v102(constB188)))) | (~v102(constB188))),
% 8.48/6.44 inference(unit_resolution,[status(thm)],[23383, 23382])).
% 8.48/6.44 tff(23385,plain,
% 8.48/6.44 (~((~v1(constB188)) | (~v102(constB188)))),
% 8.48/6.44 inference(unit_resolution,[status(thm)],[23384, 23379])).
% 8.48/6.44 tff(23386,plain,
% 8.48/6.44 ((~(v101(constB188) <=> (~((~v1(constB188)) | (~v102(constB188)))))) | v101(constB188) | ((~v1(constB188)) | (~v102(constB188)))),
% 8.48/6.44 inference(tautology,[status(thm)],[])).
% 8.48/6.44 tff(23387,plain,
% 8.48/6.44 (v101(constB188)),
% 8.48/6.44 inference(unit_resolution,[status(thm)],[23386, 23385, 23366])).
% 8.48/6.44 tff(23388,plain,
% 8.48/6.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB187, constB188)) | (v110(constB188) <=> v108(constB187)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB187, constB188)) | (v110(constB188) <=> v108(constB187)))),
% 8.48/6.44 inference(rewrite,[status(thm)],[])).
% 8.48/6.44 tff(23389,plain,
% 8.48/6.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB187, constB188)) | (v110(constB188) <=> v108(constB187)))),
% 8.48/6.44 inference(quant_inst,[status(thm)],[])).
% 8.48/6.44 tff(23390,plain,
% 8.48/6.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB187, constB188)) | (v110(constB188) <=> v108(constB187))),
% 8.48/6.44 inference(modus_ponens,[status(thm)],[23389, 23388])).
% 8.48/6.44 tff(23391,plain,
% 8.48/6.44 (v110(constB188) <=> v108(constB187)),
% 8.48/6.44 inference(unit_resolution,[status(thm)],[23390, 15235, 3285])).
% 8.48/6.44 tff(23392,plain,
% 8.48/6.44 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB187) <=> (v111(constB187) | v112(constB187)))),
% 8.48/6.44 inference(quant_inst,[status(thm)],[])).
% 8.48/6.44 tff(23393,plain,
% 8.48/6.44 (v108(constB187) <=> (v111(constB187) | v112(constB187))),
% 8.48/6.44 inference(unit_resolution,[status(thm)],[23392, 3296])).
% 8.48/6.44 tff(23394,plain,
% 8.48/6.44 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB187) <=> (~((~v113(constB187)) | (~v126(constB187)))))),
% 8.48/6.44 inference(quant_inst,[status(thm)],[])).
% 8.48/6.44 tff(23395,plain,
% 8.48/6.44 (v112(constB187) <=> (~((~v113(constB187)) | (~v126(constB187))))),
% 8.48/6.44 inference(unit_resolution,[status(thm)],[23394, 3308])).
% 8.48/6.44 tff(23396,plain,
% 8.48/6.44 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB187) <=> (v114(constB187) | v125(constB187)))),
% 8.48/6.44 inference(quant_inst,[status(thm)],[])).
% 8.48/6.44 tff(23397,plain,
% 8.48/6.44 (v113(constB187) <=> (v114(constB187) | v125(constB187))),
% 8.48/6.44 inference(unit_resolution,[status(thm)],[23396, 3317])).
% 8.48/6.44 tff(23398,plain,
% 8.48/6.44 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB187) <=> (v115(constB187) | v124(constB187)))),
% 8.48/6.44 inference(quant_inst,[status(thm)],[])).
% 8.48/6.44 tff(23399,plain,
% 8.48/6.44 (v114(constB187) <=> (v115(constB187) | v124(constB187))),
% 8.48/6.44 inference(unit_resolution,[status(thm)],[23398, 3326])).
% 8.48/6.44 tff(23400,plain,
% 8.48/6.44 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB187) <=> (v116(constB187) | v123(constB187)))),
% 8.48/6.44 inference(quant_inst,[status(thm)],[])).
% 8.48/6.44 tff(23401,plain,
% 8.48/6.44 (v115(constB187) <=> (v116(constB187) | v123(constB187))),
% 8.48/6.44 inference(unit_resolution,[status(thm)],[23400, 3335])).
% 8.48/6.44 tff(23402,plain,
% 8.48/6.44 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB187) <=> (v117(constB187) | v122(constB187)))),
% 8.48/6.44 inference(quant_inst,[status(thm)],[])).
% 8.48/6.44 tff(23403,plain,
% 8.48/6.44 (v116(constB187) <=> (v117(constB187) | v122(constB187))),
% 8.48/6.44 inference(unit_resolution,[status(thm)],[23402, 3344])).
% 8.48/6.44 tff(23404,plain,
% 8.48/6.44 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB187) <=> (v118(constB187) | v121(constB187)))),
% 8.48/6.44 inference(quant_inst,[status(thm)],[])).
% 8.48/6.44 tff(23405,plain,
% 8.48/6.44 (v117(constB187) <=> (v118(constB187) | v121(constB187))),
% 8.48/6.44 inference(unit_resolution,[status(thm)],[23404, 3353])).
% 8.48/6.44 tff(23406,plain,
% 8.48/6.44 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB187) <=> (v119(constB187) | v120(constB187)))),
% 8.48/6.44 inference(quant_inst,[status(thm)],[])).
% 8.48/6.44 tff(23407,plain,
% 8.48/6.44 (v118(constB187) <=> (v119(constB187) | v120(constB187))),
% 8.48/6.44 inference(unit_resolution,[status(thm)],[23406, 3362])).
% 8.48/6.44 tff(23408,plain,
% 8.48/6.44 ((v119(constB187) | v120(constB187)) | (~v120(constB187))),
% 8.48/6.44 inference(tautology,[status(thm)],[])).
% 8.48/6.44 tff(23409,plain,
% 8.48/6.44 (v119(constB187) | v120(constB187)),
% 8.48/6.44 inference(unit_resolution,[status(thm)],[23408, 23341])).
% 8.48/6.44 tff(23410,plain,
% 8.48/6.44 ((~(v118(constB187) <=> (v119(constB187) | v120(constB187)))) | v118(constB187) | (~(v119(constB187) | v120(constB187)))),
% 8.48/6.44 inference(tautology,[status(thm)],[])).
% 8.48/6.44 tff(23411,plain,
% 8.48/6.44 (v118(constB187)),
% 8.48/6.44 inference(unit_resolution,[status(thm)],[23410, 23409, 23407])).
% 8.48/6.44 tff(23412,plain,
% 8.48/6.44 ((v118(constB187) | v121(constB187)) | (~v118(constB187))),
% 8.48/6.44 inference(tautology,[status(thm)],[])).
% 8.48/6.44 tff(23413,plain,
% 8.48/6.44 (v118(constB187) | v121(constB187)),
% 8.48/6.44 inference(unit_resolution,[status(thm)],[23412, 23411])).
% 8.48/6.44 tff(23414,plain,
% 8.48/6.44 ((~(v117(constB187) <=> (v118(constB187) | v121(constB187)))) | v117(constB187) | (~(v118(constB187) | v121(constB187)))),
% 8.48/6.44 inference(tautology,[status(thm)],[])).
% 8.48/6.44 tff(23415,plain,
% 8.48/6.44 (v117(constB187)),
% 8.48/6.44 inference(unit_resolution,[status(thm)],[23414, 23413, 23405])).
% 8.48/6.44 tff(23416,plain,
% 8.48/6.44 ((v117(constB187) | v122(constB187)) | (~v117(constB187))),
% 8.48/6.44 inference(tautology,[status(thm)],[])).
% 8.48/6.44 tff(23417,plain,
% 8.48/6.44 (v117(constB187) | v122(constB187)),
% 8.48/6.44 inference(unit_resolution,[status(thm)],[23416, 23415])).
% 8.48/6.44 tff(23418,plain,
% 8.48/6.44 ((~(v116(constB187) <=> (v117(constB187) | v122(constB187)))) | v116(constB187) | (~(v117(constB187) | v122(constB187)))),
% 8.48/6.44 inference(tautology,[status(thm)],[])).
% 8.48/6.44 tff(23419,plain,
% 8.48/6.44 (v116(constB187)),
% 8.48/6.44 inference(unit_resolution,[status(thm)],[23418, 23417, 23403])).
% 8.48/6.44 tff(23420,plain,
% 8.48/6.44 ((v116(constB187) | v123(constB187)) | (~v116(constB187))),
% 8.48/6.44 inference(tautology,[status(thm)],[])).
% 8.48/6.44 tff(23421,plain,
% 8.48/6.44 (v116(constB187) | v123(constB187)),
% 8.48/6.44 inference(unit_resolution,[status(thm)],[23420, 23419])).
% 8.48/6.44 tff(23422,plain,
% 8.48/6.44 ((~(v115(constB187) <=> (v116(constB187) | v123(constB187)))) | v115(constB187) | (~(v116(constB187) | v123(constB187)))),
% 8.48/6.44 inference(tautology,[status(thm)],[])).
% 8.48/6.44 tff(23423,plain,
% 8.48/6.44 (v115(constB187)),
% 8.48/6.44 inference(unit_resolution,[status(thm)],[23422, 23421, 23401])).
% 8.48/6.44 tff(23424,plain,
% 8.48/6.44 ((v115(constB187) | v124(constB187)) | (~v115(constB187))),
% 8.48/6.44 inference(tautology,[status(thm)],[])).
% 8.48/6.44 tff(23425,plain,
% 8.48/6.44 (v115(constB187) | v124(constB187)),
% 8.48/6.44 inference(unit_resolution,[status(thm)],[23424, 23423])).
% 8.48/6.44 tff(23426,plain,
% 8.48/6.44 ((~(v114(constB187) <=> (v115(constB187) | v124(constB187)))) | v114(constB187) | (~(v115(constB187) | v124(constB187)))),
% 8.48/6.44 inference(tautology,[status(thm)],[])).
% 8.48/6.44 tff(23427,plain,
% 8.48/6.44 (v114(constB187)),
% 8.48/6.44 inference(unit_resolution,[status(thm)],[23426, 23425, 23399])).
% 8.48/6.44 tff(23428,plain,
% 8.48/6.44 ((v114(constB187) | v125(constB187)) | (~v114(constB187))),
% 8.48/6.44 inference(tautology,[status(thm)],[])).
% 8.48/6.44 tff(23429,plain,
% 8.48/6.44 (v114(constB187) | v125(constB187)),
% 8.48/6.44 inference(unit_resolution,[status(thm)],[23428, 23427])).
% 8.48/6.44 tff(23430,plain,
% 8.48/6.44 ((~(v113(constB187) <=> (v114(constB187) | v125(constB187)))) | v113(constB187) | (~(v114(constB187) | v125(constB187)))),
% 8.48/6.44 inference(tautology,[status(thm)],[])).
% 8.48/6.44 tff(23431,plain,
% 8.48/6.44 (v113(constB187)),
% 8.48/6.44 inference(unit_resolution,[status(thm)],[23430, 23429, 23397])).
% 8.48/6.44 tff(23432,plain,
% 8.48/6.44 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB187)) <=> v111(constB187))),
% 8.48/6.44 inference(quant_inst,[status(thm)],[])).
% 8.48/6.44 tff(23433,plain,
% 8.48/6.44 ((~v126(constB187)) <=> v111(constB187)),
% 8.48/6.44 inference(unit_resolution,[status(thm)],[23432, 3396])).
% 8.48/6.44 tff(23434,plain,
% 8.48/6.44 ((~((~v126(constB187)) <=> v111(constB187))) | v126(constB187) | v111(constB187)),
% 8.48/6.44 inference(tautology,[status(thm)],[])).
% 8.48/6.44 tff(23435,plain,
% 8.48/6.44 ((~((~v126(constB187)) <=> v111(constB187))) | v126(constB187)),
% 8.48/6.44 inference(unit_resolution,[status(thm)],[23434, 15248])).
% 8.48/6.44 tff(23436,plain,
% 8.48/6.44 (v126(constB187)),
% 8.48/6.44 inference(unit_resolution,[status(thm)],[23435, 23433])).
% 8.48/6.44 tff(23437,plain,
% 8.48/6.44 ((~((~v113(constB187)) | (~v126(constB187)))) | (~v113(constB187)) | (~v126(constB187))),
% 8.48/6.44 inference(tautology,[status(thm)],[])).
% 8.48/6.44 tff(23438,plain,
% 8.48/6.44 ((~((~v113(constB187)) | (~v126(constB187)))) | (~v113(constB187))),
% 8.48/6.44 inference(unit_resolution,[status(thm)],[23437, 23436])).
% 8.48/6.44 tff(23439,plain,
% 8.48/6.44 (~((~v113(constB187)) | (~v126(constB187)))),
% 8.48/6.44 inference(unit_resolution,[status(thm)],[23438, 23431])).
% 8.48/6.44 tff(23440,plain,
% 8.48/6.44 ((~(v112(constB187) <=> (~((~v113(constB187)) | (~v126(constB187)))))) | v112(constB187) | ((~v113(constB187)) | (~v126(constB187)))),
% 8.48/6.44 inference(tautology,[status(thm)],[])).
% 8.48/6.44 tff(23441,plain,
% 8.48/6.44 (v112(constB187)),
% 8.48/6.44 inference(unit_resolution,[status(thm)],[23440, 23439, 23395])).
% 8.48/6.44 tff(23442,plain,
% 8.48/6.44 ((v111(constB187) | v112(constB187)) | (~v112(constB187))),
% 8.48/6.44 inference(tautology,[status(thm)],[])).
% 8.48/6.44 tff(23443,plain,
% 8.48/6.44 (v111(constB187) | v112(constB187)),
% 8.48/6.44 inference(unit_resolution,[status(thm)],[23442, 23441])).
% 8.48/6.44 tff(23444,plain,
% 8.48/6.44 ((~(v108(constB187) <=> (v111(constB187) | v112(constB187)))) | v108(constB187) | (~(v111(constB187) | v112(constB187)))),
% 8.48/6.44 inference(tautology,[status(thm)],[])).
% 8.48/6.44 tff(23445,plain,
% 8.48/6.44 (v108(constB187)),
% 8.48/6.44 inference(unit_resolution,[status(thm)],[23444, 23443, 23393])).
% 8.48/6.44 tff(23446,plain,
% 8.48/6.44 ((~(v110(constB188) <=> v108(constB187))) | v110(constB188) | (~v108(constB187))),
% 8.48/6.44 inference(tautology,[status(thm)],[])).
% 8.48/6.44 tff(23447,plain,
% 8.48/6.44 (v110(constB188)),
% 8.48/6.44 inference(unit_resolution,[status(thm)],[23446, 23445, 23391])).
% 8.48/6.44 tff(23448,plain,
% 8.48/6.44 ((~((~v101(constB188)) | (~v110(constB188)))) | (~v101(constB188)) | (~v110(constB188))),
% 8.48/6.45 inference(tautology,[status(thm)],[])).
% 8.48/6.45 tff(23449,plain,
% 8.48/6.45 (~((~v101(constB188)) | (~v110(constB188)))),
% 8.48/6.45 inference(unit_resolution,[status(thm)],[23448, 23447, 23387])).
% 8.48/6.45 tff(23450,plain,
% 8.48/6.45 ((~(v100(constB188) <=> (~((~v101(constB188)) | (~v110(constB188)))))) | v100(constB188) | ((~v101(constB188)) | (~v110(constB188)))),
% 8.48/6.45 inference(tautology,[status(thm)],[])).
% 8.48/6.45 tff(23451,plain,
% 8.48/6.45 (v100(constB188)),
% 8.48/6.45 inference(unit_resolution,[status(thm)],[23450, 23449, 23359])).
% 8.48/6.45 tff(23452,plain,
% 8.48/6.45 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB188)) | (~(((~v90(constB188, bitIndex2)) <=> v129(constB188, bitIndex2)) | ((~v90(constB188, bitIndex1)) <=> v129(constB188, bitIndex1)) | ((~v90(constB188, bitIndex0)) <=> v129(constB188, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB188)) | (~(((~v90(constB188, bitIndex2)) <=> v129(constB188, bitIndex2)) | ((~v90(constB188, bitIndex1)) <=> v129(constB188, bitIndex1)) | ((~v90(constB188, bitIndex0)) <=> v129(constB188, bitIndex0)))))),
% 8.48/6.45 inference(rewrite,[status(thm)],[])).
% 8.48/6.45 tff(23453,plain,
% 8.48/6.45 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB188)) | (~(((~v90(constB188, bitIndex2)) <=> v129(constB188, bitIndex2)) | ((~v90(constB188, bitIndex1)) <=> v129(constB188, bitIndex1)) | ((~v90(constB188, bitIndex0)) <=> v129(constB188, bitIndex0)))))),
% 8.48/6.45 inference(quant_inst,[status(thm)],[])).
% 8.48/6.45 tff(23454,plain,
% 8.48/6.45 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB188)) | (~(((~v90(constB188, bitIndex2)) <=> v129(constB188, bitIndex2)) | ((~v90(constB188, bitIndex1)) <=> v129(constB188, bitIndex1)) | ((~v90(constB188, bitIndex0)) <=> v129(constB188, bitIndex0))))),
% 8.48/6.45 inference(modus_ponens,[status(thm)],[23453, 23452])).
% 8.48/6.45 tff(23455,plain,
% 8.48/6.45 ((~v100(constB188)) | (~(((~v90(constB188, bitIndex2)) <=> v129(constB188, bitIndex2)) | ((~v90(constB188, bitIndex1)) <=> v129(constB188, bitIndex1)) | ((~v90(constB188, bitIndex0)) <=> v129(constB188, bitIndex0))))),
% 8.48/6.45 inference(unit_resolution,[status(thm)],[23454, 3429])).
% 8.48/6.45 tff(23456,plain,
% 8.48/6.45 (~(((~v90(constB188, bitIndex2)) <=> v129(constB188, bitIndex2)) | ((~v90(constB188, bitIndex1)) <=> v129(constB188, bitIndex1)) | ((~v90(constB188, bitIndex0)) <=> v129(constB188, bitIndex0)))),
% 8.48/6.45 inference(unit_resolution,[status(thm)],[23455, 23451])).
% 8.48/6.45 tff(23457,plain,
% 8.48/6.45 ((((~v90(constB188, bitIndex2)) <=> v129(constB188, bitIndex2)) | ((~v90(constB188, bitIndex1)) <=> v129(constB188, bitIndex1)) | ((~v90(constB188, bitIndex0)) <=> v129(constB188, bitIndex0))) | (~((~v90(constB188, bitIndex2)) <=> v129(constB188, bitIndex2)))),
% 8.48/6.45 inference(tautology,[status(thm)],[])).
% 8.48/6.45 tff(23458,plain,
% 8.48/6.45 (~((~v90(constB188, bitIndex2)) <=> v129(constB188, bitIndex2))),
% 8.48/6.45 inference(unit_resolution,[status(thm)],[23457, 23456])).
% 8.48/6.45 tff(23459,plain,
% 8.48/6.45 (((~v90(constB188, bitIndex2)) <=> v129(constB188, bitIndex2)) | (~v90(constB188, bitIndex2)) | v129(constB188, bitIndex2)),
% 8.48/6.45 inference(tautology,[status(thm)],[])).
% 8.48/6.45 tff(23460,plain,
% 8.48/6.45 (~v90(constB188, bitIndex2)),
% 8.48/6.45 inference(unit_resolution,[status(thm)],[23459, 23458, 23355])).
% 8.48/6.45 tff(23461,plain,
% 8.48/6.45 (((~v90(constB189, bitIndex2)) <=> v90(constB188, bitIndex2)) | (~v90(constB189, bitIndex2)) | v90(constB188, bitIndex2)),
% 8.48/6.45 inference(tautology,[status(thm)],[])).
% 8.48/6.45 tff(23462,plain,
% 8.48/6.45 (~v90(constB189, bitIndex2)),
% 8.48/6.45 inference(unit_resolution,[status(thm)],[23461, 23460, 15232])).
% 8.48/6.45 tff(23463,plain,
% 8.48/6.45 ((((~v90(constB189, bitIndex1)) <=> v90(constB188, bitIndex1)) | ((~v90(constB189, bitIndex2)) <=> v90(constB188, bitIndex2)) | ((~v90(constB189, bitIndex0)) <=> v90(constB188, bitIndex0))) | (~((~v90(constB189, bitIndex0)) <=> v90(constB188, bitIndex0)))),
% 8.48/6.45 inference(tautology,[status(thm)],[])).
% 8.48/6.45 tff(23464,plain,
% 8.48/6.45 (~((~v90(constB189, bitIndex0)) <=> v90(constB188, bitIndex0))),
% 8.48/6.45 inference(unit_resolution,[status(thm)],[23463, 15230])).
% 8.48/6.45 tff(23465,plain,
% 8.48/6.45 ((((~v129(constB188, bitIndex2)) <=> v127(constB187, bitIndex2)) | ((~v129(constB188, bitIndex1)) <=> v127(constB187, bitIndex1)) | ((~v129(constB188, bitIndex0)) <=> v127(constB187, bitIndex0))) | (~((~v129(constB188, bitIndex0)) <=> v127(constB187, bitIndex0)))),
% 8.48/6.45 inference(tautology,[status(thm)],[])).
% 8.48/6.45 tff(23466,plain,
% 8.48/6.45 (~((~v129(constB188, bitIndex0)) <=> v127(constB187, bitIndex0))),
% 8.48/6.45 inference(unit_resolution,[status(thm)],[23465, 15239])).
% 8.48/6.45 tff(23467,plain,
% 8.48/6.45 ((((~v127(constB187, bitIndex2)) <=> v130(constB187, bitIndex2)) | ((~v127(constB187, bitIndex1)) <=> v130(constB187, bitIndex1)) | ((~v127(constB187, bitIndex0)) <=> v130(constB187, bitIndex0))) | (~((~v127(constB187, bitIndex0)) <=> v130(constB187, bitIndex0)))),
% 8.48/6.45 inference(tautology,[status(thm)],[])).
% 8.48/6.45 tff(23468,plain,
% 8.48/6.45 (~((~v127(constB187, bitIndex0)) <=> v130(constB187, bitIndex0))),
% 8.48/6.45 inference(unit_resolution,[status(thm)],[23467, 15253])).
% 8.48/6.45 tff(23469,plain,
% 8.48/6.45 ((v130(constB187, bitIndex2) | v130(constB187, bitIndex0) | (~v130(constB187, bitIndex1))) | (~v130(constB187, bitIndex0))),
% 8.48/6.45 inference(tautology,[status(thm)],[])).
% 8.48/6.45 tff(23470,plain,
% 8.48/6.45 (~v130(constB187, bitIndex0)),
% 8.48/6.45 inference(unit_resolution,[status(thm)],[23469, 23349])).
% 8.48/6.45 tff(23471,plain,
% 8.48/6.45 (((~v127(constB187, bitIndex0)) <=> v130(constB187, bitIndex0)) | (~v127(constB187, bitIndex0)) | v130(constB187, bitIndex0)),
% 8.48/6.45 inference(tautology,[status(thm)],[])).
% 8.48/6.45 tff(23472,plain,
% 8.48/6.45 (~v127(constB187, bitIndex0)),
% 8.48/6.45 inference(unit_resolution,[status(thm)],[23471, 23470, 23468])).
% 8.48/6.45 tff(23473,plain,
% 8.48/6.45 (((~v129(constB188, bitIndex0)) <=> v127(constB187, bitIndex0)) | (~v129(constB188, bitIndex0)) | v127(constB187, bitIndex0)),
% 8.48/6.45 inference(tautology,[status(thm)],[])).
% 8.48/6.45 tff(23474,plain,
% 8.48/6.45 (~v129(constB188, bitIndex0)),
% 8.48/6.45 inference(unit_resolution,[status(thm)],[23473, 23472, 23466])).
% 8.48/6.45 tff(23475,plain,
% 8.48/6.45 ((((~v90(constB188, bitIndex2)) <=> v129(constB188, bitIndex2)) | ((~v90(constB188, bitIndex1)) <=> v129(constB188, bitIndex1)) | ((~v90(constB188, bitIndex0)) <=> v129(constB188, bitIndex0))) | (~((~v90(constB188, bitIndex0)) <=> v129(constB188, bitIndex0)))),
% 8.48/6.45 inference(tautology,[status(thm)],[])).
% 8.48/6.45 tff(23476,plain,
% 8.48/6.45 (~((~v90(constB188, bitIndex0)) <=> v129(constB188, bitIndex0))),
% 8.48/6.45 inference(unit_resolution,[status(thm)],[23475, 23456])).
% 8.48/6.45 tff(23477,plain,
% 8.48/6.45 (((~v90(constB188, bitIndex0)) <=> v129(constB188, bitIndex0)) | (~v90(constB188, bitIndex0)) | v129(constB188, bitIndex0)),
% 8.48/6.45 inference(tautology,[status(thm)],[])).
% 8.48/6.45 tff(23478,plain,
% 8.48/6.45 (~v90(constB188, bitIndex0)),
% 8.48/6.45 inference(unit_resolution,[status(thm)],[23477, 23476, 23474])).
% 8.48/6.45 tff(23479,plain,
% 8.48/6.45 (((~v90(constB189, bitIndex0)) <=> v90(constB188, bitIndex0)) | (~v90(constB189, bitIndex0)) | v90(constB188, bitIndex0)),
% 8.48/6.45 inference(tautology,[status(thm)],[])).
% 8.48/6.45 tff(23480,plain,
% 8.48/6.45 (~v90(constB189, bitIndex0)),
% 8.48/6.45 inference(unit_resolution,[status(thm)],[23479, 23478, 23464])).
% 8.48/6.45 tff(23481,plain,
% 8.48/6.45 ((((~v90(constB189, bitIndex1)) <=> v90(constB188, bitIndex1)) | ((~v90(constB189, bitIndex2)) <=> v90(constB188, bitIndex2)) | ((~v90(constB189, bitIndex0)) <=> v90(constB188, bitIndex0))) | (~((~v90(constB189, bitIndex1)) <=> v90(constB188, bitIndex1)))),
% 8.48/6.45 inference(tautology,[status(thm)],[])).
% 8.48/6.45 tff(23482,plain,
% 8.48/6.45 (~((~v90(constB189, bitIndex1)) <=> v90(constB188, bitIndex1))),
% 8.48/6.45 inference(unit_resolution,[status(thm)],[23481, 15230])).
% 8.48/6.45 tff(23483,plain,
% 8.48/6.45 ((((~v129(constB188, bitIndex2)) <=> v127(constB187, bitIndex2)) | ((~v129(constB188, bitIndex1)) <=> v127(constB187, bitIndex1)) | ((~v129(constB188, bitIndex0)) <=> v127(constB187, bitIndex0))) | (~((~v129(constB188, bitIndex1)) <=> v127(constB187, bitIndex1)))),
% 8.48/6.45 inference(tautology,[status(thm)],[])).
% 8.48/6.45 tff(23484,plain,
% 8.48/6.45 (~((~v129(constB188, bitIndex1)) <=> v127(constB187, bitIndex1))),
% 8.48/6.45 inference(unit_resolution,[status(thm)],[23483, 15239])).
% 8.48/6.45 tff(23485,plain,
% 8.48/6.45 ((((~v127(constB187, bitIndex2)) <=> v130(constB187, bitIndex2)) | ((~v127(constB187, bitIndex1)) <=> v130(constB187, bitIndex1)) | ((~v127(constB187, bitIndex0)) <=> v130(constB187, bitIndex0))) | (~((~v127(constB187, bitIndex1)) <=> v130(constB187, bitIndex1)))),
% 8.48/6.45 inference(tautology,[status(thm)],[])).
% 8.48/6.45 tff(23486,plain,
% 8.48/6.45 (~((~v127(constB187, bitIndex1)) <=> v130(constB187, bitIndex1))),
% 8.48/6.45 inference(unit_resolution,[status(thm)],[23485, 15253])).
% 8.48/6.45 tff(23487,plain,
% 8.48/6.45 ((v130(constB187, bitIndex2) | v130(constB187, bitIndex0) | (~v130(constB187, bitIndex1))) | v130(constB187, bitIndex1)),
% 8.48/6.45 inference(tautology,[status(thm)],[])).
% 8.48/6.45 tff(23488,plain,
% 8.48/6.45 (v130(constB187, bitIndex1)),
% 8.48/6.45 inference(unit_resolution,[status(thm)],[23487, 23349])).
% 8.48/6.45 tff(23489,plain,
% 8.48/6.45 (((~v127(constB187, bitIndex1)) <=> v130(constB187, bitIndex1)) | v127(constB187, bitIndex1) | (~v130(constB187, bitIndex1))),
% 8.48/6.45 inference(tautology,[status(thm)],[])).
% 8.48/6.45 tff(23490,plain,
% 8.48/6.45 (v127(constB187, bitIndex1)),
% 8.48/6.45 inference(unit_resolution,[status(thm)],[23489, 23488, 23486])).
% 8.48/6.45 tff(23491,plain,
% 8.48/6.45 (((~v129(constB188, bitIndex1)) <=> v127(constB187, bitIndex1)) | v129(constB188, bitIndex1) | (~v127(constB187, bitIndex1))),
% 8.48/6.45 inference(tautology,[status(thm)],[])).
% 8.48/6.45 tff(23492,plain,
% 8.48/6.45 (v129(constB188, bitIndex1)),
% 8.48/6.45 inference(unit_resolution,[status(thm)],[23491, 23490, 23484])).
% 8.48/6.45 tff(23493,plain,
% 8.48/6.45 ((((~v90(constB188, bitIndex2)) <=> v129(constB188, bitIndex2)) | ((~v90(constB188, bitIndex1)) <=> v129(constB188, bitIndex1)) | ((~v90(constB188, bitIndex0)) <=> v129(constB188, bitIndex0))) | (~((~v90(constB188, bitIndex1)) <=> v129(constB188, bitIndex1)))),
% 8.48/6.45 inference(tautology,[status(thm)],[])).
% 8.48/6.45 tff(23494,plain,
% 8.48/6.45 (~((~v90(constB188, bitIndex1)) <=> v129(constB188, bitIndex1))),
% 8.48/6.45 inference(unit_resolution,[status(thm)],[23493, 23456])).
% 8.48/6.45 tff(23495,plain,
% 8.48/6.45 (((~v90(constB188, bitIndex1)) <=> v129(constB188, bitIndex1)) | v90(constB188, bitIndex1) | (~v129(constB188, bitIndex1))),
% 8.48/6.45 inference(tautology,[status(thm)],[])).
% 8.48/6.45 tff(23496,plain,
% 8.48/6.45 (v90(constB188, bitIndex1)),
% 8.48/6.45 inference(unit_resolution,[status(thm)],[23495, 23494, 23492])).
% 8.48/6.45 tff(23497,plain,
% 8.48/6.45 (((~v90(constB189, bitIndex1)) <=> v90(constB188, bitIndex1)) | v90(constB189, bitIndex1) | (~v90(constB188, bitIndex1))),
% 8.48/6.45 inference(tautology,[status(thm)],[])).
% 8.48/6.45 tff(23498,plain,
% 8.48/6.45 (v90(constB189, bitIndex1)),
% 8.48/6.45 inference(unit_resolution,[status(thm)],[23497, 23496, 23482])).
% 8.48/6.45 tff(23499,plain,
% 8.48/6.45 ((~(v90(constB189, bitIndex2) | v90(constB189, bitIndex0) | (~v90(constB189, bitIndex1)))) | v90(constB189, bitIndex2) | v90(constB189, bitIndex0) | (~v90(constB189, bitIndex1))),
% 8.48/6.45 inference(tautology,[status(thm)],[])).
% 8.48/6.45 tff(23500,plain,
% 8.48/6.45 (~(v90(constB189, bitIndex2) | v90(constB189, bitIndex0) | (~v90(constB189, bitIndex1)))),
% 8.48/6.45 inference(unit_resolution,[status(thm)],[23499, 23498, 23480, 23462])).
% 8.48/6.45 tff(23501,plain,
% 8.48/6.45 ((~(v121(constB189) <=> (~(v90(constB189, bitIndex2) | v90(constB189, bitIndex0) | (~v90(constB189, bitIndex1)))))) | v121(constB189) | (v90(constB189, bitIndex2) | v90(constB189, bitIndex0) | (~v90(constB189, bitIndex1)))),
% 8.48/6.45 inference(tautology,[status(thm)],[])).
% 8.48/6.45 tff(23502,plain,
% 8.48/6.45 (v121(constB189)),
% 8.48/6.45 inference(unit_resolution,[status(thm)],[23501, 23500, 15196])).
% 8.48/6.45 tff(23503,plain,
% 8.48/6.45 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB189)) | (~(v130(constB189, bitIndex2) | (~v130(constB189, bitIndex1)) | (~v130(constB189, bitIndex0)))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | (~v121(constB189)) | (~(v130(constB189, bitIndex2) | (~v130(constB189, bitIndex1)) | (~v130(constB189, bitIndex0)))))),
% 8.48/6.45 inference(rewrite,[status(thm)],[])).
% 8.48/6.45 tff(23504,plain,
% 8.48/6.45 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB189)) | (~(v130(constB189, bitIndex2) | (~v130(constB189, bitIndex1)) | (~v130(constB189, bitIndex0)))))),
% 8.48/6.45 inference(quant_inst,[status(thm)],[])).
% 8.48/6.45 tff(23505,plain,
% 8.48/6.45 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | (~v121(constB189)) | (~(v130(constB189, bitIndex2) | (~v130(constB189, bitIndex1)) | (~v130(constB189, bitIndex0))))),
% 8.48/6.45 inference(modus_ponens,[status(thm)],[23504, 23503])).
% 8.48/6.45 tff(23506,plain,
% 8.48/6.45 ((~v121(constB189)) | (~(v130(constB189, bitIndex2) | (~v130(constB189, bitIndex1)) | (~v130(constB189, bitIndex0))))),
% 8.48/6.45 inference(unit_resolution,[status(thm)],[23505, 4055])).
% 8.48/6.45 tff(23507,plain,
% 8.48/6.45 (~(v130(constB189, bitIndex2) | (~v130(constB189, bitIndex1)) | (~v130(constB189, bitIndex0)))),
% 8.48/6.45 inference(unit_resolution,[status(thm)],[23506, 23502])).
% 8.48/6.45 tff(23508,plain,
% 8.48/6.45 ((v130(constB189, bitIndex2) | (~v130(constB189, bitIndex1)) | (~v130(constB189, bitIndex0))) | (~v130(constB189, bitIndex2))),
% 8.48/6.45 inference(tautology,[status(thm)],[])).
% 8.48/6.45 tff(23509,plain,
% 8.48/6.45 (~v130(constB189, bitIndex2)),
% 8.48/6.45 inference(unit_resolution,[status(thm)],[23508, 23507])).
% 8.48/6.45 tff(23510,plain,
% 8.48/6.45 (((~v127(constB189, bitIndex2)) <=> v130(constB189, bitIndex2)) | (~v127(constB189, bitIndex2)) | v130(constB189, bitIndex2)),
% 8.48/6.45 inference(tautology,[status(thm)],[])).
% 8.48/6.45 tff(23511,plain,
% 8.48/6.45 (~v127(constB189, bitIndex2)),
% 8.48/6.45 inference(unit_resolution,[status(thm)],[23510, 23509, 15189])).
% 8.48/6.45 tff(23512,plain,
% 8.48/6.45 (((~v129(constB190, bitIndex2)) <=> v127(constB189, bitIndex2)) | (~v129(constB190, bitIndex2)) | v127(constB189, bitIndex2)),
% 8.48/6.45 inference(tautology,[status(thm)],[])).
% 8.48/6.45 tff(23513,plain,
% 8.48/6.45 (~v129(constB190, bitIndex2)),
% 8.48/6.45 inference(unit_resolution,[status(thm)],[23512, 23511, 15175])).
% 8.48/6.45 tff(23514,plain,
% 8.48/6.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB189, constB190)) | (v100(constB190) <=> (~((~v101(constB190)) | (~v110(constB190))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB189, constB190)) | (v100(constB190) <=> (~((~v101(constB190)) | (~v110(constB190))))))),
% 8.48/6.45 inference(rewrite,[status(thm)],[])).
% 8.48/6.45 tff(23515,plain,
% 8.48/6.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB189, constB190)) | (v100(constB190) <=> (~((~v101(constB190)) | (~v110(constB190))))))),
% 8.48/6.45 inference(quant_inst,[status(thm)],[])).
% 8.48/6.45 tff(23516,plain,
% 8.48/6.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB189, constB190)) | (v100(constB190) <=> (~((~v101(constB190)) | (~v110(constB190)))))),
% 8.48/6.45 inference(modus_ponens,[status(thm)],[23515, 23514])).
% 8.48/6.45 tff(23517,plain,
% 8.48/6.45 (v100(constB190) <=> (~((~v101(constB190)) | (~v110(constB190))))),
% 8.48/6.45 inference(unit_resolution,[status(thm)],[23516, 15169, 445])).
% 8.48/6.45 tff(23518,plain,
% 8.48/6.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB189, constB190)) | (v101(constB190) <=> (~((~v1(constB190)) | (~v102(constB190))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB189, constB190)) | (v101(constB190) <=> (~((~v1(constB190)) | (~v102(constB190))))))),
% 8.48/6.45 inference(rewrite,[status(thm)],[])).
% 8.48/6.45 tff(23519,plain,
% 8.48/6.45 (((~nextState(constB189, constB190)) | (v101(constB190) <=> (~((~v102(constB190)) | (~v1(constB190)))))) <=> ((~nextState(constB189, constB190)) | (v101(constB190) <=> (~((~v1(constB190)) | (~v102(constB190))))))),
% 8.48/6.45 inference(rewrite,[status(thm)],[])).
% 8.48/6.45 tff(23520,plain,
% 8.48/6.45 (((~![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) <=> (~((~v1(constB190)) | (~v102(constB190)))))))),
% 8.48/6.45 inference(monotonicity,[status(thm)],[23519])).
% 8.48/6.45 tff(23521,plain,
% 8.48/6.45 (((~![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) <=> (~((~v1(constB190)) | (~v102(constB190))))))),
% 8.48/6.45 inference(transitivity,[status(thm)],[23520, 23518])).
% 8.48/6.45 tff(23522,plain,
% 8.48/6.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB189, constB190)) | (v101(constB190) <=> (~((~v102(constB190)) | (~v1(constB190))))))),
% 8.48/6.45 inference(quant_inst,[status(thm)],[])).
% 8.48/6.45 tff(23523,plain,
% 8.48/6.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB189, constB190)) | (v101(constB190) <=> (~((~v1(constB190)) | (~v102(constB190)))))),
% 8.48/6.45 inference(modus_ponens,[status(thm)],[23522, 23521])).
% 8.48/6.45 tff(23524,plain,
% 8.48/6.45 (v101(constB190) <=> (~((~v1(constB190)) | (~v102(constB190))))),
% 8.48/6.45 inference(unit_resolution,[status(thm)],[23523, 15169, 465])).
% 8.48/6.45 tff(23525,plain,
% 8.48/6.45 (((~![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)))),
% 8.48/6.45 inference(rewrite,[status(thm)],[])).
% 8.48/6.45 tff(23526,plain,
% 8.48/6.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB189, constB190)) | ((~v102(constB190)) <=> v104(constB190)))),
% 8.48/6.45 inference(quant_inst,[status(thm)],[])).
% 8.48/6.45 tff(23527,plain,
% 8.48/6.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB189, constB190)) | ((~v102(constB190)) <=> v104(constB190))),
% 8.48/6.45 inference(modus_ponens,[status(thm)],[23526, 23525])).
% 8.48/6.45 tff(23528,plain,
% 8.48/6.45 ((~v102(constB190)) <=> v104(constB190)),
% 8.48/6.45 inference(unit_resolution,[status(thm)],[23527, 15169, 3244])).
% 8.48/6.45 tff(23529,plain,
% 8.48/6.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB189, constB190)) | (v104(constB190) <=> v1(constB189)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB189, constB190)) | (v104(constB190) <=> v1(constB189)))),
% 8.48/6.45 inference(rewrite,[status(thm)],[])).
% 8.48/6.45 tff(23530,plain,
% 8.48/6.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB189, constB190)) | (v104(constB190) <=> v1(constB189)))),
% 8.48/6.45 inference(quant_inst,[status(thm)],[])).
% 8.48/6.45 tff(23531,plain,
% 8.48/6.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB189, constB190)) | (v104(constB190) <=> v1(constB189))),
% 8.48/6.45 inference(modus_ponens,[status(thm)],[23530, 23529])).
% 8.48/6.45 tff(23532,plain,
% 8.48/6.45 (v104(constB190) <=> v1(constB189)),
% 8.48/6.45 inference(unit_resolution,[status(thm)],[23531, 15169, 3258])).
% 8.48/6.45 tff(23533,plain,
% 8.48/6.45 ((~(v104(constB190) <=> v1(constB189))) | (~v104(constB190)) | v1(constB189)),
% 8.48/6.45 inference(tautology,[status(thm)],[])).
% 8.48/6.45 tff(23534,plain,
% 8.48/6.45 ((~(v104(constB190) <=> v1(constB189))) | (~v104(constB190))),
% 8.48/6.45 inference(unit_resolution,[status(thm)],[23533, 15213])).
% 8.48/6.45 tff(23535,plain,
% 8.48/6.45 (~v104(constB190)),
% 8.48/6.45 inference(unit_resolution,[status(thm)],[23534, 23532])).
% 8.48/6.45 tff(23536,plain,
% 8.48/6.45 ((~((~v102(constB190)) <=> v104(constB190))) | v102(constB190) | v104(constB190)),
% 8.48/6.45 inference(tautology,[status(thm)],[])).
% 8.48/6.45 tff(23537,plain,
% 8.48/6.45 (v102(constB190)),
% 8.48/6.45 inference(unit_resolution,[status(thm)],[23536, 23535, 23528])).
% 8.48/6.45 tff(23538,plain,
% 8.48/6.45 (v1(constB190) <=> v1(constB190)),
% 8.48/6.45 inference(rewrite,[status(thm)],[])).
% 8.48/6.45 tff(23539,axiom,(v1(constB190)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_190')).
% 8.48/6.45 tff(23540,plain,
% 8.48/6.45 (v1(constB190)),
% 8.48/6.45 inference(modus_ponens,[status(thm)],[23539, 23538])).
% 8.48/6.45 tff(23541,plain,
% 8.48/6.45 ((~((~v1(constB190)) | (~v102(constB190)))) | (~v1(constB190)) | (~v102(constB190))),
% 8.48/6.45 inference(tautology,[status(thm)],[])).
% 8.48/6.45 tff(23542,plain,
% 8.48/6.45 ((~((~v1(constB190)) | (~v102(constB190)))) | (~v102(constB190))),
% 8.48/6.45 inference(unit_resolution,[status(thm)],[23541, 23540])).
% 8.48/6.45 tff(23543,plain,
% 8.48/6.45 (~((~v1(constB190)) | (~v102(constB190)))),
% 8.48/6.45 inference(unit_resolution,[status(thm)],[23542, 23537])).
% 8.48/6.45 tff(23544,plain,
% 8.48/6.45 ((~(v101(constB190) <=> (~((~v1(constB190)) | (~v102(constB190)))))) | v101(constB190) | ((~v1(constB190)) | (~v102(constB190)))),
% 8.48/6.45 inference(tautology,[status(thm)],[])).
% 8.48/6.45 tff(23545,plain,
% 8.48/6.45 (v101(constB190)),
% 8.48/6.45 inference(unit_resolution,[status(thm)],[23544, 23543, 23524])).
% 8.48/6.45 tff(23546,plain,
% 8.48/6.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB189, constB190)) | (v110(constB190) <=> v108(constB189)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB189, constB190)) | (v110(constB190) <=> v108(constB189)))),
% 8.48/6.45 inference(rewrite,[status(thm)],[])).
% 8.48/6.45 tff(23547,plain,
% 8.48/6.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB189, constB190)) | (v110(constB190) <=> v108(constB189)))),
% 8.48/6.45 inference(quant_inst,[status(thm)],[])).
% 8.48/6.45 tff(23548,plain,
% 8.48/6.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB189, constB190)) | (v110(constB190) <=> v108(constB189))),
% 8.48/6.45 inference(modus_ponens,[status(thm)],[23547, 23546])).
% 8.48/6.45 tff(23549,plain,
% 8.48/6.45 (v110(constB190) <=> v108(constB189)),
% 8.48/6.45 inference(unit_resolution,[status(thm)],[23548, 15169, 3285])).
% 8.48/6.45 tff(23550,plain,
% 8.48/6.45 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB189) <=> (v111(constB189) | v112(constB189)))),
% 8.48/6.45 inference(quant_inst,[status(thm)],[])).
% 8.48/6.45 tff(23551,plain,
% 8.48/6.45 (v108(constB189) <=> (v111(constB189) | v112(constB189))),
% 8.48/6.45 inference(unit_resolution,[status(thm)],[23550, 3296])).
% 8.48/6.45 tff(23552,plain,
% 8.48/6.45 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB189) <=> (~((~v113(constB189)) | (~v126(constB189)))))),
% 8.48/6.45 inference(quant_inst,[status(thm)],[])).
% 8.48/6.45 tff(23553,plain,
% 8.48/6.45 (v112(constB189) <=> (~((~v113(constB189)) | (~v126(constB189))))),
% 8.48/6.45 inference(unit_resolution,[status(thm)],[23552, 3308])).
% 8.48/6.45 tff(23554,plain,
% 8.48/6.45 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB189) <=> (v114(constB189) | v125(constB189)))),
% 8.48/6.45 inference(quant_inst,[status(thm)],[])).
% 8.48/6.45 tff(23555,plain,
% 8.48/6.45 (v113(constB189) <=> (v114(constB189) | v125(constB189))),
% 8.48/6.45 inference(unit_resolution,[status(thm)],[23554, 3317])).
% 8.48/6.45 tff(23556,plain,
% 8.48/6.45 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB189) <=> (v115(constB189) | v124(constB189)))),
% 8.48/6.45 inference(quant_inst,[status(thm)],[])).
% 8.48/6.45 tff(23557,plain,
% 8.48/6.45 (v114(constB189) <=> (v115(constB189) | v124(constB189))),
% 8.48/6.45 inference(unit_resolution,[status(thm)],[23556, 3326])).
% 8.48/6.45 tff(23558,plain,
% 8.48/6.45 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB189) <=> (v116(constB189) | v123(constB189)))),
% 8.48/6.45 inference(quant_inst,[status(thm)],[])).
% 8.48/6.45 tff(23559,plain,
% 8.48/6.45 (v115(constB189) <=> (v116(constB189) | v123(constB189))),
% 8.48/6.45 inference(unit_resolution,[status(thm)],[23558, 3335])).
% 8.48/6.45 tff(23560,plain,
% 8.48/6.45 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB189) <=> (v117(constB189) | v122(constB189)))),
% 8.48/6.45 inference(quant_inst,[status(thm)],[])).
% 8.48/6.45 tff(23561,plain,
% 8.48/6.45 (v116(constB189) <=> (v117(constB189) | v122(constB189))),
% 8.48/6.45 inference(unit_resolution,[status(thm)],[23560, 3344])).
% 8.48/6.45 tff(23562,plain,
% 8.48/6.45 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB189) <=> (v118(constB189) | v121(constB189)))),
% 8.48/6.45 inference(quant_inst,[status(thm)],[])).
% 8.48/6.45 tff(23563,plain,
% 8.48/6.45 (v117(constB189) <=> (v118(constB189) | v121(constB189))),
% 8.48/6.45 inference(unit_resolution,[status(thm)],[23562, 3353])).
% 8.48/6.45 tff(23564,plain,
% 8.48/6.45 ((v118(constB189) | v121(constB189)) | (~v121(constB189))),
% 8.48/6.45 inference(tautology,[status(thm)],[])).
% 8.48/6.45 tff(23565,plain,
% 8.48/6.45 (v118(constB189) | v121(constB189)),
% 8.48/6.45 inference(unit_resolution,[status(thm)],[23564, 23502])).
% 8.48/6.45 tff(23566,plain,
% 8.48/6.45 ((~(v117(constB189) <=> (v118(constB189) | v121(constB189)))) | v117(constB189) | (~(v118(constB189) | v121(constB189)))),
% 8.48/6.45 inference(tautology,[status(thm)],[])).
% 8.48/6.45 tff(23567,plain,
% 8.48/6.45 (v117(constB189)),
% 8.48/6.45 inference(unit_resolution,[status(thm)],[23566, 23565, 23563])).
% 8.48/6.45 tff(23568,plain,
% 8.48/6.45 ((v117(constB189) | v122(constB189)) | (~v117(constB189))),
% 8.48/6.45 inference(tautology,[status(thm)],[])).
% 8.48/6.45 tff(23569,plain,
% 8.48/6.45 (v117(constB189) | v122(constB189)),
% 8.48/6.45 inference(unit_resolution,[status(thm)],[23568, 23567])).
% 8.48/6.45 tff(23570,plain,
% 8.48/6.45 ((~(v116(constB189) <=> (v117(constB189) | v122(constB189)))) | v116(constB189) | (~(v117(constB189) | v122(constB189)))),
% 8.48/6.45 inference(tautology,[status(thm)],[])).
% 8.48/6.45 tff(23571,plain,
% 8.48/6.45 (v116(constB189)),
% 8.48/6.45 inference(unit_resolution,[status(thm)],[23570, 23569, 23561])).
% 8.48/6.45 tff(23572,plain,
% 8.48/6.45 ((v116(constB189) | v123(constB189)) | (~v116(constB189))),
% 8.48/6.45 inference(tautology,[status(thm)],[])).
% 8.48/6.45 tff(23573,plain,
% 8.48/6.45 (v116(constB189) | v123(constB189)),
% 8.48/6.45 inference(unit_resolution,[status(thm)],[23572, 23571])).
% 8.48/6.45 tff(23574,plain,
% 8.48/6.45 ((~(v115(constB189) <=> (v116(constB189) | v123(constB189)))) | v115(constB189) | (~(v116(constB189) | v123(constB189)))),
% 8.48/6.45 inference(tautology,[status(thm)],[])).
% 8.48/6.45 tff(23575,plain,
% 8.48/6.45 (v115(constB189)),
% 8.48/6.45 inference(unit_resolution,[status(thm)],[23574, 23573, 23559])).
% 8.48/6.45 tff(23576,plain,
% 8.48/6.45 ((v115(constB189) | v124(constB189)) | (~v115(constB189))),
% 8.48/6.45 inference(tautology,[status(thm)],[])).
% 8.48/6.45 tff(23577,plain,
% 8.48/6.45 (v115(constB189) | v124(constB189)),
% 8.48/6.45 inference(unit_resolution,[status(thm)],[23576, 23575])).
% 8.48/6.45 tff(23578,plain,
% 8.48/6.45 ((~(v114(constB189) <=> (v115(constB189) | v124(constB189)))) | v114(constB189) | (~(v115(constB189) | v124(constB189)))),
% 8.48/6.45 inference(tautology,[status(thm)],[])).
% 8.48/6.45 tff(23579,plain,
% 8.48/6.45 (v114(constB189)),
% 8.48/6.45 inference(unit_resolution,[status(thm)],[23578, 23577, 23557])).
% 8.48/6.45 tff(23580,plain,
% 8.48/6.45 ((v114(constB189) | v125(constB189)) | (~v114(constB189))),
% 8.48/6.45 inference(tautology,[status(thm)],[])).
% 8.48/6.45 tff(23581,plain,
% 8.48/6.45 (v114(constB189) | v125(constB189)),
% 8.48/6.45 inference(unit_resolution,[status(thm)],[23580, 23579])).
% 8.48/6.45 tff(23582,plain,
% 8.48/6.45 ((~(v113(constB189) <=> (v114(constB189) | v125(constB189)))) | v113(constB189) | (~(v114(constB189) | v125(constB189)))),
% 8.48/6.45 inference(tautology,[status(thm)],[])).
% 8.48/6.45 tff(23583,plain,
% 8.48/6.45 (v113(constB189)),
% 8.48/6.45 inference(unit_resolution,[status(thm)],[23582, 23581, 23555])).
% 8.48/6.45 tff(23584,plain,
% 8.48/6.45 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB189)) <=> v111(constB189))),
% 8.48/6.45 inference(quant_inst,[status(thm)],[])).
% 8.48/6.45 tff(23585,plain,
% 8.48/6.45 ((~v126(constB189)) <=> v111(constB189)),
% 8.48/6.45 inference(unit_resolution,[status(thm)],[23584, 3396])).
% 8.48/6.45 tff(23586,plain,
% 8.48/6.45 ((~((~v126(constB189)) <=> v111(constB189))) | v126(constB189) | v111(constB189)),
% 8.48/6.45 inference(tautology,[status(thm)],[])).
% 8.48/6.45 tff(23587,plain,
% 8.48/6.45 ((~((~v126(constB189)) <=> v111(constB189))) | v126(constB189)),
% 8.48/6.45 inference(unit_resolution,[status(thm)],[23586, 15182])).
% 8.48/6.45 tff(23588,plain,
% 8.48/6.45 (v126(constB189)),
% 8.48/6.45 inference(unit_resolution,[status(thm)],[23587, 23585])).
% 8.48/6.45 tff(23589,plain,
% 8.48/6.45 ((~((~v113(constB189)) | (~v126(constB189)))) | (~v113(constB189)) | (~v126(constB189))),
% 8.48/6.45 inference(tautology,[status(thm)],[])).
% 8.48/6.45 tff(23590,plain,
% 8.48/6.45 ((~((~v113(constB189)) | (~v126(constB189)))) | (~v113(constB189))),
% 8.48/6.45 inference(unit_resolution,[status(thm)],[23589, 23588])).
% 8.48/6.45 tff(23591,plain,
% 8.48/6.45 (~((~v113(constB189)) | (~v126(constB189)))),
% 8.48/6.45 inference(unit_resolution,[status(thm)],[23590, 23583])).
% 8.48/6.45 tff(23592,plain,
% 8.48/6.45 ((~(v112(constB189) <=> (~((~v113(constB189)) | (~v126(constB189)))))) | v112(constB189) | ((~v113(constB189)) | (~v126(constB189)))),
% 8.48/6.45 inference(tautology,[status(thm)],[])).
% 8.48/6.45 tff(23593,plain,
% 8.48/6.45 (v112(constB189)),
% 8.48/6.45 inference(unit_resolution,[status(thm)],[23592, 23591, 23553])).
% 8.48/6.45 tff(23594,plain,
% 8.48/6.45 ((v111(constB189) | v112(constB189)) | (~v112(constB189))),
% 8.48/6.45 inference(tautology,[status(thm)],[])).
% 8.48/6.45 tff(23595,plain,
% 8.48/6.45 (v111(constB189) | v112(constB189)),
% 8.48/6.45 inference(unit_resolution,[status(thm)],[23594, 23593])).
% 8.48/6.45 tff(23596,plain,
% 8.48/6.45 ((~(v108(constB189) <=> (v111(constB189) | v112(constB189)))) | v108(constB189) | (~(v111(constB189) | v112(constB189)))),
% 8.48/6.45 inference(tautology,[status(thm)],[])).
% 8.48/6.45 tff(23597,plain,
% 8.48/6.45 (v108(constB189)),
% 8.48/6.45 inference(unit_resolution,[status(thm)],[23596, 23595, 23551])).
% 8.48/6.45 tff(23598,plain,
% 8.48/6.45 ((~(v110(constB190) <=> v108(constB189))) | v110(constB190) | (~v108(constB189))),
% 8.48/6.45 inference(tautology,[status(thm)],[])).
% 8.48/6.45 tff(23599,plain,
% 8.48/6.45 (v110(constB190)),
% 8.48/6.45 inference(unit_resolution,[status(thm)],[23598, 23597, 23549])).
% 8.48/6.45 tff(23600,plain,
% 8.48/6.45 ((~((~v101(constB190)) | (~v110(constB190)))) | (~v101(constB190)) | (~v110(constB190))),
% 8.48/6.45 inference(tautology,[status(thm)],[])).
% 8.48/6.45 tff(23601,plain,
% 8.48/6.45 (~((~v101(constB190)) | (~v110(constB190)))),
% 8.48/6.45 inference(unit_resolution,[status(thm)],[23600, 23599, 23545])).
% 8.48/6.45 tff(23602,plain,
% 8.48/6.45 ((~(v100(constB190) <=> (~((~v101(constB190)) | (~v110(constB190)))))) | v100(constB190) | ((~v101(constB190)) | (~v110(constB190)))),
% 8.48/6.45 inference(tautology,[status(thm)],[])).
% 8.48/6.45 tff(23603,plain,
% 8.48/6.45 (v100(constB190)),
% 8.48/6.45 inference(unit_resolution,[status(thm)],[23602, 23601, 23517])).
% 8.48/6.45 tff(23604,plain,
% 8.48/6.45 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB190)) | (~(((~v90(constB190, bitIndex0)) <=> v129(constB190, bitIndex0)) | ((~v90(constB190, bitIndex2)) <=> v129(constB190, bitIndex2)) | ((~v90(constB190, bitIndex1)) <=> v129(constB190, bitIndex1)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB190)) | (~(((~v90(constB190, bitIndex0)) <=> v129(constB190, bitIndex0)) | ((~v90(constB190, bitIndex2)) <=> v129(constB190, bitIndex2)) | ((~v90(constB190, bitIndex1)) <=> v129(constB190, bitIndex1)))))),
% 8.48/6.45 inference(rewrite,[status(thm)],[])).
% 8.48/6.45 tff(23605,plain,
% 8.48/6.45 (((~v100(constB190)) | (~(((~v90(constB190, bitIndex2)) <=> v129(constB190, bitIndex2)) | ((~v90(constB190, bitIndex1)) <=> v129(constB190, bitIndex1)) | ((~v90(constB190, bitIndex0)) <=> v129(constB190, bitIndex0))))) <=> ((~v100(constB190)) | (~(((~v90(constB190, bitIndex0)) <=> v129(constB190, bitIndex0)) | ((~v90(constB190, bitIndex2)) <=> v129(constB190, bitIndex2)) | ((~v90(constB190, bitIndex1)) <=> v129(constB190, bitIndex1)))))),
% 8.48/6.46 inference(rewrite,[status(thm)],[])).
% 8.48/6.46 tff(23606,plain,
% 8.48/6.46 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB190)) | (~(((~v90(constB190, bitIndex2)) <=> v129(constB190, bitIndex2)) | ((~v90(constB190, bitIndex1)) <=> v129(constB190, bitIndex1)) | ((~v90(constB190, bitIndex0)) <=> v129(constB190, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB190)) | (~(((~v90(constB190, bitIndex0)) <=> v129(constB190, bitIndex0)) | ((~v90(constB190, bitIndex2)) <=> v129(constB190, bitIndex2)) | ((~v90(constB190, bitIndex1)) <=> v129(constB190, bitIndex1))))))),
% 8.48/6.46 inference(monotonicity,[status(thm)],[23605])).
% 8.48/6.46 tff(23607,plain,
% 8.48/6.46 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB190)) | (~(((~v90(constB190, bitIndex2)) <=> v129(constB190, bitIndex2)) | ((~v90(constB190, bitIndex1)) <=> v129(constB190, bitIndex1)) | ((~v90(constB190, bitIndex0)) <=> v129(constB190, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB190)) | (~(((~v90(constB190, bitIndex0)) <=> v129(constB190, bitIndex0)) | ((~v90(constB190, bitIndex2)) <=> v129(constB190, bitIndex2)) | ((~v90(constB190, bitIndex1)) <=> v129(constB190, bitIndex1)))))),
% 8.48/6.46 inference(transitivity,[status(thm)],[23606, 23604])).
% 8.48/6.46 tff(23608,plain,
% 8.48/6.46 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB190)) | (~(((~v90(constB190, bitIndex2)) <=> v129(constB190, bitIndex2)) | ((~v90(constB190, bitIndex1)) <=> v129(constB190, bitIndex1)) | ((~v90(constB190, bitIndex0)) <=> v129(constB190, bitIndex0)))))),
% 8.48/6.46 inference(quant_inst,[status(thm)],[])).
% 8.48/6.46 tff(23609,plain,
% 8.48/6.46 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB190)) | (~(((~v90(constB190, bitIndex0)) <=> v129(constB190, bitIndex0)) | ((~v90(constB190, bitIndex2)) <=> v129(constB190, bitIndex2)) | ((~v90(constB190, bitIndex1)) <=> v129(constB190, bitIndex1))))),
% 8.48/6.46 inference(modus_ponens,[status(thm)],[23608, 23607])).
% 8.48/6.46 tff(23610,plain,
% 8.48/6.46 ((~v100(constB190)) | (~(((~v90(constB190, bitIndex0)) <=> v129(constB190, bitIndex0)) | ((~v90(constB190, bitIndex2)) <=> v129(constB190, bitIndex2)) | ((~v90(constB190, bitIndex1)) <=> v129(constB190, bitIndex1))))),
% 8.48/6.46 inference(unit_resolution,[status(thm)],[23609, 3429])).
% 8.48/6.46 tff(23611,plain,
% 8.48/6.46 (~(((~v90(constB190, bitIndex0)) <=> v129(constB190, bitIndex0)) | ((~v90(constB190, bitIndex2)) <=> v129(constB190, bitIndex2)) | ((~v90(constB190, bitIndex1)) <=> v129(constB190, bitIndex1)))),
% 8.48/6.46 inference(unit_resolution,[status(thm)],[23610, 23603])).
% 8.48/6.46 tff(23612,plain,
% 8.48/6.46 ((((~v90(constB190, bitIndex0)) <=> v129(constB190, bitIndex0)) | ((~v90(constB190, bitIndex2)) <=> v129(constB190, bitIndex2)) | ((~v90(constB190, bitIndex1)) <=> v129(constB190, bitIndex1))) | (~((~v90(constB190, bitIndex2)) <=> v129(constB190, bitIndex2)))),
% 8.48/6.46 inference(tautology,[status(thm)],[])).
% 8.48/6.46 tff(23613,plain,
% 8.48/6.46 (~((~v90(constB190, bitIndex2)) <=> v129(constB190, bitIndex2))),
% 8.48/6.46 inference(unit_resolution,[status(thm)],[23612, 23611])).
% 8.48/6.46 tff(23614,plain,
% 8.48/6.46 (((~v90(constB190, bitIndex2)) <=> v129(constB190, bitIndex2)) | (~v90(constB190, bitIndex2)) | v129(constB190, bitIndex2)),
% 8.48/6.46 inference(tautology,[status(thm)],[])).
% 8.48/6.46 tff(23615,plain,
% 8.48/6.46 (~v90(constB190, bitIndex2)),
% 8.48/6.46 inference(unit_resolution,[status(thm)],[23614, 23613, 23513])).
% 8.48/6.46 tff(23616,plain,
% 8.48/6.46 (((~v90(constB191, bitIndex2)) <=> v90(constB190, bitIndex2)) | (~v90(constB191, bitIndex2)) | v90(constB190, bitIndex2)),
% 8.48/6.46 inference(tautology,[status(thm)],[])).
% 8.48/6.46 tff(23617,plain,
% 8.48/6.46 (~v90(constB191, bitIndex2)),
% 8.48/6.46 inference(unit_resolution,[status(thm)],[23616, 23615, 15166])).
% 8.48/6.46 tff(23618,plain,
% 8.48/6.46 ((((~v90(constB191, bitIndex1)) <=> v90(constB190, bitIndex1)) | ((~v90(constB191, bitIndex2)) <=> v90(constB190, bitIndex2)) | ((~v90(constB191, bitIndex0)) <=> v90(constB190, bitIndex0))) | (~((~v90(constB191, bitIndex0)) <=> v90(constB190, bitIndex0)))),
% 8.48/6.46 inference(tautology,[status(thm)],[])).
% 8.48/6.46 tff(23619,plain,
% 8.48/6.46 (~((~v90(constB191, bitIndex0)) <=> v90(constB190, bitIndex0))),
% 8.48/6.46 inference(unit_resolution,[status(thm)],[23618, 15164])).
% 8.48/6.46 tff(23620,plain,
% 8.48/6.46 ((((~v129(constB190, bitIndex2)) <=> v127(constB189, bitIndex2)) | ((~v129(constB190, bitIndex1)) <=> v127(constB189, bitIndex1)) | ((~v129(constB190, bitIndex0)) <=> v127(constB189, bitIndex0))) | (~((~v129(constB190, bitIndex0)) <=> v127(constB189, bitIndex0)))),
% 8.48/6.46 inference(tautology,[status(thm)],[])).
% 8.48/6.46 tff(23621,plain,
% 8.48/6.46 (~((~v129(constB190, bitIndex0)) <=> v127(constB189, bitIndex0))),
% 8.48/6.46 inference(unit_resolution,[status(thm)],[23620, 15173])).
% 8.48/6.46 tff(23622,plain,
% 8.48/6.46 ((((~v127(constB189, bitIndex2)) <=> v130(constB189, bitIndex2)) | ((~v127(constB189, bitIndex1)) <=> v130(constB189, bitIndex1)) | ((~v127(constB189, bitIndex0)) <=> v130(constB189, bitIndex0))) | (~((~v127(constB189, bitIndex0)) <=> v130(constB189, bitIndex0)))),
% 8.48/6.46 inference(tautology,[status(thm)],[])).
% 8.48/6.46 tff(23623,plain,
% 8.48/6.46 (~((~v127(constB189, bitIndex0)) <=> v130(constB189, bitIndex0))),
% 8.48/6.46 inference(unit_resolution,[status(thm)],[23622, 15187])).
% 8.48/6.46 tff(23624,plain,
% 8.48/6.46 ((v130(constB189, bitIndex2) | (~v130(constB189, bitIndex1)) | (~v130(constB189, bitIndex0))) | v130(constB189, bitIndex0)),
% 8.48/6.46 inference(tautology,[status(thm)],[])).
% 8.48/6.46 tff(23625,plain,
% 8.48/6.46 (v130(constB189, bitIndex0)),
% 8.48/6.46 inference(unit_resolution,[status(thm)],[23624, 23507])).
% 8.48/6.46 tff(23626,plain,
% 8.48/6.46 (((~v127(constB189, bitIndex0)) <=> v130(constB189, bitIndex0)) | v127(constB189, bitIndex0) | (~v130(constB189, bitIndex0))),
% 8.48/6.46 inference(tautology,[status(thm)],[])).
% 8.48/6.46 tff(23627,plain,
% 8.48/6.46 (v127(constB189, bitIndex0)),
% 8.48/6.46 inference(unit_resolution,[status(thm)],[23626, 23625, 23623])).
% 8.48/6.46 tff(23628,plain,
% 8.48/6.46 (((~v129(constB190, bitIndex0)) <=> v127(constB189, bitIndex0)) | v129(constB190, bitIndex0) | (~v127(constB189, bitIndex0))),
% 8.48/6.46 inference(tautology,[status(thm)],[])).
% 8.48/6.46 tff(23629,plain,
% 8.48/6.46 (v129(constB190, bitIndex0)),
% 8.48/6.46 inference(unit_resolution,[status(thm)],[23628, 23627, 23621])).
% 8.48/6.46 tff(23630,plain,
% 8.48/6.46 ((((~v90(constB190, bitIndex0)) <=> v129(constB190, bitIndex0)) | ((~v90(constB190, bitIndex2)) <=> v129(constB190, bitIndex2)) | ((~v90(constB190, bitIndex1)) <=> v129(constB190, bitIndex1))) | (~((~v90(constB190, bitIndex0)) <=> v129(constB190, bitIndex0)))),
% 8.48/6.46 inference(tautology,[status(thm)],[])).
% 8.48/6.46 tff(23631,plain,
% 8.48/6.46 (~((~v90(constB190, bitIndex0)) <=> v129(constB190, bitIndex0))),
% 8.48/6.46 inference(unit_resolution,[status(thm)],[23630, 23611])).
% 8.48/6.46 tff(23632,plain,
% 8.48/6.46 (((~v90(constB190, bitIndex0)) <=> v129(constB190, bitIndex0)) | v90(constB190, bitIndex0) | (~v129(constB190, bitIndex0))),
% 8.48/6.46 inference(tautology,[status(thm)],[])).
% 8.48/6.46 tff(23633,plain,
% 8.48/6.46 (v90(constB190, bitIndex0)),
% 8.48/6.46 inference(unit_resolution,[status(thm)],[23632, 23631, 23629])).
% 8.48/6.46 tff(23634,plain,
% 8.48/6.46 (((~v90(constB191, bitIndex0)) <=> v90(constB190, bitIndex0)) | v90(constB191, bitIndex0) | (~v90(constB190, bitIndex0))),
% 8.48/6.46 inference(tautology,[status(thm)],[])).
% 8.48/6.46 tff(23635,plain,
% 8.48/6.46 (v90(constB191, bitIndex0)),
% 8.48/6.46 inference(unit_resolution,[status(thm)],[23634, 23633, 23619])).
% 8.48/6.46 tff(23636,plain,
% 8.48/6.46 ((((~v90(constB191, bitIndex1)) <=> v90(constB190, bitIndex1)) | ((~v90(constB191, bitIndex2)) <=> v90(constB190, bitIndex2)) | ((~v90(constB191, bitIndex0)) <=> v90(constB190, bitIndex0))) | (~((~v90(constB191, bitIndex1)) <=> v90(constB190, bitIndex1)))),
% 8.48/6.46 inference(tautology,[status(thm)],[])).
% 8.48/6.46 tff(23637,plain,
% 8.48/6.46 (~((~v90(constB191, bitIndex1)) <=> v90(constB190, bitIndex1))),
% 8.48/6.46 inference(unit_resolution,[status(thm)],[23636, 15164])).
% 8.48/6.46 tff(23638,plain,
% 8.48/6.46 ((((~v129(constB190, bitIndex2)) <=> v127(constB189, bitIndex2)) | ((~v129(constB190, bitIndex1)) <=> v127(constB189, bitIndex1)) | ((~v129(constB190, bitIndex0)) <=> v127(constB189, bitIndex0))) | (~((~v129(constB190, bitIndex1)) <=> v127(constB189, bitIndex1)))),
% 8.48/6.46 inference(tautology,[status(thm)],[])).
% 8.48/6.46 tff(23639,plain,
% 8.48/6.46 (~((~v129(constB190, bitIndex1)) <=> v127(constB189, bitIndex1))),
% 8.48/6.46 inference(unit_resolution,[status(thm)],[23638, 15173])).
% 8.48/6.46 tff(23640,plain,
% 8.48/6.46 ((((~v127(constB189, bitIndex2)) <=> v130(constB189, bitIndex2)) | ((~v127(constB189, bitIndex1)) <=> v130(constB189, bitIndex1)) | ((~v127(constB189, bitIndex0)) <=> v130(constB189, bitIndex0))) | (~((~v127(constB189, bitIndex1)) <=> v130(constB189, bitIndex1)))),
% 8.48/6.46 inference(tautology,[status(thm)],[])).
% 8.48/6.46 tff(23641,plain,
% 8.48/6.46 (~((~v127(constB189, bitIndex1)) <=> v130(constB189, bitIndex1))),
% 8.48/6.46 inference(unit_resolution,[status(thm)],[23640, 15187])).
% 8.48/6.46 tff(23642,plain,
% 8.48/6.46 ((v130(constB189, bitIndex2) | (~v130(constB189, bitIndex1)) | (~v130(constB189, bitIndex0))) | v130(constB189, bitIndex1)),
% 8.48/6.46 inference(tautology,[status(thm)],[])).
% 8.48/6.46 tff(23643,plain,
% 8.48/6.46 (v130(constB189, bitIndex1)),
% 8.48/6.46 inference(unit_resolution,[status(thm)],[23642, 23507])).
% 8.48/6.46 tff(23644,plain,
% 8.48/6.46 (((~v127(constB189, bitIndex1)) <=> v130(constB189, bitIndex1)) | v127(constB189, bitIndex1) | (~v130(constB189, bitIndex1))),
% 8.48/6.46 inference(tautology,[status(thm)],[])).
% 8.48/6.46 tff(23645,plain,
% 8.48/6.46 (v127(constB189, bitIndex1)),
% 8.48/6.46 inference(unit_resolution,[status(thm)],[23644, 23643, 23641])).
% 8.48/6.46 tff(23646,plain,
% 8.48/6.46 (((~v129(constB190, bitIndex1)) <=> v127(constB189, bitIndex1)) | v129(constB190, bitIndex1) | (~v127(constB189, bitIndex1))),
% 8.48/6.46 inference(tautology,[status(thm)],[])).
% 8.48/6.46 tff(23647,plain,
% 8.48/6.46 (v129(constB190, bitIndex1)),
% 8.48/6.46 inference(unit_resolution,[status(thm)],[23646, 23645, 23639])).
% 8.48/6.46 tff(23648,plain,
% 8.48/6.46 ((((~v90(constB190, bitIndex0)) <=> v129(constB190, bitIndex0)) | ((~v90(constB190, bitIndex2)) <=> v129(constB190, bitIndex2)) | ((~v90(constB190, bitIndex1)) <=> v129(constB190, bitIndex1))) | (~((~v90(constB190, bitIndex1)) <=> v129(constB190, bitIndex1)))),
% 8.48/6.46 inference(tautology,[status(thm)],[])).
% 8.48/6.46 tff(23649,plain,
% 8.48/6.46 (~((~v90(constB190, bitIndex1)) <=> v129(constB190, bitIndex1))),
% 8.48/6.46 inference(unit_resolution,[status(thm)],[23648, 23611])).
% 8.48/6.46 tff(23650,plain,
% 8.48/6.46 (((~v90(constB190, bitIndex1)) <=> v129(constB190, bitIndex1)) | v90(constB190, bitIndex1) | (~v129(constB190, bitIndex1))),
% 8.48/6.46 inference(tautology,[status(thm)],[])).
% 8.48/6.46 tff(23651,plain,
% 8.48/6.46 (v90(constB190, bitIndex1)),
% 8.48/6.46 inference(unit_resolution,[status(thm)],[23650, 23649, 23647])).
% 8.48/6.46 tff(23652,plain,
% 8.48/6.46 (((~v90(constB191, bitIndex1)) <=> v90(constB190, bitIndex1)) | v90(constB191, bitIndex1) | (~v90(constB190, bitIndex1))),
% 8.48/6.46 inference(tautology,[status(thm)],[])).
% 8.48/6.46 tff(23653,plain,
% 8.48/6.46 (v90(constB191, bitIndex1)),
% 8.48/6.46 inference(unit_resolution,[status(thm)],[23652, 23651, 23637])).
% 8.48/6.46 tff(23654,plain,
% 8.48/6.46 ((~(v90(constB191, bitIndex2) | (~v90(constB191, bitIndex1)) | (~v90(constB191, bitIndex0)))) | v90(constB191, bitIndex2) | (~v90(constB191, bitIndex1)) | (~v90(constB191, bitIndex0))),
% 8.48/6.46 inference(tautology,[status(thm)],[])).
% 8.48/6.46 tff(23655,plain,
% 8.48/6.46 (~(v90(constB191, bitIndex2) | (~v90(constB191, bitIndex1)) | (~v90(constB191, bitIndex0)))),
% 8.48/6.46 inference(unit_resolution,[status(thm)],[23654, 23653, 23635, 23617])).
% 8.48/6.46 tff(23656,plain,
% 8.48/6.46 ((~(v122(constB191) <=> (~(v90(constB191, bitIndex2) | (~v90(constB191, bitIndex1)) | (~v90(constB191, bitIndex0)))))) | v122(constB191) | (v90(constB191, bitIndex2) | (~v90(constB191, bitIndex1)) | (~v90(constB191, bitIndex0)))),
% 8.48/6.46 inference(tautology,[status(thm)],[])).
% 8.48/6.46 tff(23657,plain,
% 8.48/6.46 (v122(constB191)),
% 8.48/6.46 inference(unit_resolution,[status(thm)],[23656, 23655, 15130])).
% 8.48/6.46 tff(23658,plain,
% 8.48/6.46 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB191)) | (~(v130(constB191, bitIndex1) | v130(constB191, bitIndex0) | (~v130(constB191, bitIndex2)))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | (~v122(constB191)) | (~(v130(constB191, bitIndex1) | v130(constB191, bitIndex0) | (~v130(constB191, bitIndex2)))))),
% 8.48/6.46 inference(rewrite,[status(thm)],[])).
% 8.48/6.46 tff(23659,plain,
% 8.48/6.46 (((~v122(constB191)) | (~(v130(constB191, bitIndex0) | v130(constB191, bitIndex1) | (~v130(constB191, bitIndex2))))) <=> ((~v122(constB191)) | (~(v130(constB191, bitIndex1) | v130(constB191, bitIndex0) | (~v130(constB191, bitIndex2)))))),
% 8.48/6.46 inference(rewrite,[status(thm)],[])).
% 8.48/6.46 tff(23660,plain,
% 8.48/6.46 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB191)) | (~(v130(constB191, bitIndex0) | v130(constB191, bitIndex1) | (~v130(constB191, bitIndex2)))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB191)) | (~(v130(constB191, bitIndex1) | v130(constB191, bitIndex0) | (~v130(constB191, bitIndex2))))))),
% 8.48/6.46 inference(monotonicity,[status(thm)],[23659])).
% 8.48/6.46 tff(23661,plain,
% 8.48/6.46 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB191)) | (~(v130(constB191, bitIndex0) | v130(constB191, bitIndex1) | (~v130(constB191, bitIndex2)))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | (~v122(constB191)) | (~(v130(constB191, bitIndex1) | v130(constB191, bitIndex0) | (~v130(constB191, bitIndex2)))))),
% 8.48/6.46 inference(transitivity,[status(thm)],[23660, 23658])).
% 8.48/6.46 tff(23662,plain,
% 8.48/6.46 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB191)) | (~(v130(constB191, bitIndex0) | v130(constB191, bitIndex1) | (~v130(constB191, bitIndex2)))))),
% 8.48/6.46 inference(quant_inst,[status(thm)],[])).
% 8.48/6.46 tff(23663,plain,
% 8.48/6.46 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | (~v122(constB191)) | (~(v130(constB191, bitIndex1) | v130(constB191, bitIndex0) | (~v130(constB191, bitIndex2))))),
% 8.48/6.46 inference(modus_ponens,[status(thm)],[23662, 23661])).
% 8.48/6.46 tff(23664,plain,
% 8.48/6.46 ((~v122(constB191)) | (~(v130(constB191, bitIndex1) | v130(constB191, bitIndex0) | (~v130(constB191, bitIndex2))))),
% 8.48/6.46 inference(unit_resolution,[status(thm)],[23663, 4223])).
% 8.48/6.46 tff(23665,plain,
% 8.48/6.46 (~(v130(constB191, bitIndex1) | v130(constB191, bitIndex0) | (~v130(constB191, bitIndex2)))),
% 8.48/6.46 inference(unit_resolution,[status(thm)],[23664, 23657])).
% 8.48/6.46 tff(23666,plain,
% 8.48/6.46 ((v130(constB191, bitIndex1) | v130(constB191, bitIndex0) | (~v130(constB191, bitIndex2))) | v130(constB191, bitIndex2)),
% 8.48/6.46 inference(tautology,[status(thm)],[])).
% 8.48/6.46 tff(23667,plain,
% 8.48/6.46 (v130(constB191, bitIndex2)),
% 8.48/6.46 inference(unit_resolution,[status(thm)],[23666, 23665])).
% 8.48/6.46 tff(23668,plain,
% 8.48/6.46 (((~v127(constB191, bitIndex2)) <=> v130(constB191, bitIndex2)) | v127(constB191, bitIndex2) | (~v130(constB191, bitIndex2))),
% 8.48/6.46 inference(tautology,[status(thm)],[])).
% 8.48/6.46 tff(23669,plain,
% 8.48/6.46 (v127(constB191, bitIndex2)),
% 8.48/6.46 inference(unit_resolution,[status(thm)],[23668, 23667, 15123])).
% 8.48/6.46 tff(23670,plain,
% 8.48/6.46 (((~v129(constB192, bitIndex2)) <=> v127(constB191, bitIndex2)) | v129(constB192, bitIndex2) | (~v127(constB191, bitIndex2))),
% 8.48/6.46 inference(tautology,[status(thm)],[])).
% 8.48/6.46 tff(23671,plain,
% 8.48/6.46 (v129(constB192, bitIndex2)),
% 8.48/6.46 inference(unit_resolution,[status(thm)],[23670, 23669, 15109])).
% 8.48/6.46 tff(23672,plain,
% 8.48/6.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB191, constB192)) | (v100(constB192) <=> (~((~v101(constB192)) | (~v110(constB192))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB191, constB192)) | (v100(constB192) <=> (~((~v101(constB192)) | (~v110(constB192))))))),
% 8.48/6.46 inference(rewrite,[status(thm)],[])).
% 8.48/6.46 tff(23673,plain,
% 8.48/6.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB191, constB192)) | (v100(constB192) <=> (~((~v101(constB192)) | (~v110(constB192))))))),
% 8.48/6.46 inference(quant_inst,[status(thm)],[])).
% 8.48/6.46 tff(23674,plain,
% 8.48/6.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB191, constB192)) | (v100(constB192) <=> (~((~v101(constB192)) | (~v110(constB192)))))),
% 8.48/6.46 inference(modus_ponens,[status(thm)],[23673, 23672])).
% 8.48/6.46 tff(23675,plain,
% 8.48/6.46 (v100(constB192) <=> (~((~v101(constB192)) | (~v110(constB192))))),
% 8.48/6.46 inference(unit_resolution,[status(thm)],[23674, 15103, 445])).
% 8.48/6.46 tff(23676,plain,
% 8.48/6.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB191, constB192)) | (v101(constB192) <=> (~((~v1(constB192)) | (~v102(constB192))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB191, constB192)) | (v101(constB192) <=> (~((~v1(constB192)) | (~v102(constB192))))))),
% 8.48/6.46 inference(rewrite,[status(thm)],[])).
% 8.48/6.46 tff(23677,plain,
% 8.48/6.46 (((~nextState(constB191, constB192)) | (v101(constB192) <=> (~((~v102(constB192)) | (~v1(constB192)))))) <=> ((~nextState(constB191, constB192)) | (v101(constB192) <=> (~((~v1(constB192)) | (~v102(constB192))))))),
% 8.48/6.46 inference(rewrite,[status(thm)],[])).
% 8.48/6.46 tff(23678,plain,
% 8.48/6.46 (((~![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) <=> (~((~v1(constB192)) | (~v102(constB192)))))))),
% 8.48/6.46 inference(monotonicity,[status(thm)],[23677])).
% 8.48/6.46 tff(23679,plain,
% 8.48/6.46 (((~![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) <=> (~((~v1(constB192)) | (~v102(constB192))))))),
% 8.48/6.46 inference(transitivity,[status(thm)],[23678, 23676])).
% 8.48/6.46 tff(23680,plain,
% 8.48/6.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB191, constB192)) | (v101(constB192) <=> (~((~v102(constB192)) | (~v1(constB192))))))),
% 8.48/6.46 inference(quant_inst,[status(thm)],[])).
% 8.48/6.46 tff(23681,plain,
% 8.48/6.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB191, constB192)) | (v101(constB192) <=> (~((~v1(constB192)) | (~v102(constB192)))))),
% 8.48/6.46 inference(modus_ponens,[status(thm)],[23680, 23679])).
% 8.48/6.46 tff(23682,plain,
% 8.48/6.46 (v101(constB192) <=> (~((~v1(constB192)) | (~v102(constB192))))),
% 8.48/6.46 inference(unit_resolution,[status(thm)],[23681, 15103, 465])).
% 8.48/6.46 tff(23683,plain,
% 8.48/6.46 (((~![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)))),
% 8.48/6.46 inference(rewrite,[status(thm)],[])).
% 8.48/6.46 tff(23684,plain,
% 8.48/6.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB191, constB192)) | ((~v102(constB192)) <=> v104(constB192)))),
% 8.48/6.46 inference(quant_inst,[status(thm)],[])).
% 8.48/6.46 tff(23685,plain,
% 8.48/6.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB191, constB192)) | ((~v102(constB192)) <=> v104(constB192))),
% 8.48/6.46 inference(modus_ponens,[status(thm)],[23684, 23683])).
% 8.48/6.46 tff(23686,plain,
% 8.48/6.46 ((~v102(constB192)) <=> v104(constB192)),
% 8.48/6.46 inference(unit_resolution,[status(thm)],[23685, 15103, 3244])).
% 8.48/6.46 tff(23687,plain,
% 8.48/6.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB191, constB192)) | (v104(constB192) <=> v1(constB191)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB191, constB192)) | (v104(constB192) <=> v1(constB191)))),
% 8.48/6.46 inference(rewrite,[status(thm)],[])).
% 8.48/6.46 tff(23688,plain,
% 8.48/6.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB191, constB192)) | (v104(constB192) <=> v1(constB191)))),
% 8.48/6.46 inference(quant_inst,[status(thm)],[])).
% 8.48/6.46 tff(23689,plain,
% 8.48/6.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB191, constB192)) | (v104(constB192) <=> v1(constB191))),
% 8.48/6.46 inference(modus_ponens,[status(thm)],[23688, 23687])).
% 8.48/6.46 tff(23690,plain,
% 8.48/6.46 (v104(constB192) <=> v1(constB191)),
% 8.48/6.46 inference(unit_resolution,[status(thm)],[23689, 15103, 3258])).
% 8.48/6.46 tff(23691,plain,
% 8.48/6.46 ((~(v104(constB192) <=> v1(constB191))) | (~v104(constB192)) | v1(constB191)),
% 8.48/6.46 inference(tautology,[status(thm)],[])).
% 8.48/6.46 tff(23692,plain,
% 8.48/6.46 ((~(v104(constB192) <=> v1(constB191))) | (~v104(constB192))),
% 8.48/6.46 inference(unit_resolution,[status(thm)],[23691, 15147])).
% 8.48/6.46 tff(23693,plain,
% 8.48/6.46 (~v104(constB192)),
% 8.48/6.46 inference(unit_resolution,[status(thm)],[23692, 23690])).
% 8.48/6.46 tff(23694,plain,
% 8.48/6.46 ((~((~v102(constB192)) <=> v104(constB192))) | v102(constB192) | v104(constB192)),
% 8.48/6.46 inference(tautology,[status(thm)],[])).
% 8.48/6.46 tff(23695,plain,
% 8.48/6.46 (v102(constB192)),
% 8.48/6.46 inference(unit_resolution,[status(thm)],[23694, 23693, 23686])).
% 8.48/6.46 tff(23696,plain,
% 8.48/6.46 (v1(constB192) <=> v1(constB192)),
% 8.48/6.46 inference(rewrite,[status(thm)],[])).
% 8.48/6.46 tff(23697,axiom,(v1(constB192)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_192')).
% 8.48/6.46 tff(23698,plain,
% 8.48/6.46 (v1(constB192)),
% 8.48/6.46 inference(modus_ponens,[status(thm)],[23697, 23696])).
% 8.48/6.46 tff(23699,plain,
% 8.48/6.46 ((~((~v1(constB192)) | (~v102(constB192)))) | (~v1(constB192)) | (~v102(constB192))),
% 8.48/6.46 inference(tautology,[status(thm)],[])).
% 8.48/6.46 tff(23700,plain,
% 8.48/6.46 ((~((~v1(constB192)) | (~v102(constB192)))) | (~v102(constB192))),
% 8.48/6.46 inference(unit_resolution,[status(thm)],[23699, 23698])).
% 8.48/6.46 tff(23701,plain,
% 8.48/6.46 (~((~v1(constB192)) | (~v102(constB192)))),
% 8.48/6.46 inference(unit_resolution,[status(thm)],[23700, 23695])).
% 8.48/6.46 tff(23702,plain,
% 8.48/6.46 ((~(v101(constB192) <=> (~((~v1(constB192)) | (~v102(constB192)))))) | v101(constB192) | ((~v1(constB192)) | (~v102(constB192)))),
% 8.48/6.46 inference(tautology,[status(thm)],[])).
% 8.48/6.46 tff(23703,plain,
% 8.48/6.46 (v101(constB192)),
% 8.48/6.46 inference(unit_resolution,[status(thm)],[23702, 23701, 23682])).
% 8.48/6.46 tff(23704,plain,
% 8.48/6.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB191, constB192)) | (v110(constB192) <=> v108(constB191)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB191, constB192)) | (v110(constB192) <=> v108(constB191)))),
% 8.48/6.46 inference(rewrite,[status(thm)],[])).
% 8.48/6.46 tff(23705,plain,
% 8.48/6.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB191, constB192)) | (v110(constB192) <=> v108(constB191)))),
% 8.48/6.46 inference(quant_inst,[status(thm)],[])).
% 8.48/6.46 tff(23706,plain,
% 8.48/6.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB191, constB192)) | (v110(constB192) <=> v108(constB191))),
% 8.48/6.46 inference(modus_ponens,[status(thm)],[23705, 23704])).
% 8.48/6.46 tff(23707,plain,
% 8.48/6.46 (v110(constB192) <=> v108(constB191)),
% 8.48/6.46 inference(unit_resolution,[status(thm)],[23706, 15103, 3285])).
% 8.48/6.46 tff(23708,plain,
% 8.48/6.46 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB191) <=> (v111(constB191) | v112(constB191)))),
% 8.48/6.46 inference(quant_inst,[status(thm)],[])).
% 8.48/6.46 tff(23709,plain,
% 8.48/6.46 (v108(constB191) <=> (v111(constB191) | v112(constB191))),
% 8.48/6.46 inference(unit_resolution,[status(thm)],[23708, 3296])).
% 8.48/6.46 tff(23710,plain,
% 8.48/6.46 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB191) <=> (~((~v113(constB191)) | (~v126(constB191)))))),
% 8.48/6.46 inference(quant_inst,[status(thm)],[])).
% 8.48/6.46 tff(23711,plain,
% 8.48/6.46 (v112(constB191) <=> (~((~v113(constB191)) | (~v126(constB191))))),
% 8.48/6.46 inference(unit_resolution,[status(thm)],[23710, 3308])).
% 8.48/6.46 tff(23712,plain,
% 8.48/6.46 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB191) <=> (v114(constB191) | v125(constB191)))),
% 8.48/6.46 inference(quant_inst,[status(thm)],[])).
% 8.48/6.46 tff(23713,plain,
% 8.48/6.46 (v113(constB191) <=> (v114(constB191) | v125(constB191))),
% 8.48/6.46 inference(unit_resolution,[status(thm)],[23712, 3317])).
% 8.48/6.46 tff(23714,plain,
% 8.48/6.46 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB191) <=> (v115(constB191) | v124(constB191)))),
% 8.48/6.46 inference(quant_inst,[status(thm)],[])).
% 8.48/6.46 tff(23715,plain,
% 8.48/6.46 (v114(constB191) <=> (v115(constB191) | v124(constB191))),
% 8.48/6.46 inference(unit_resolution,[status(thm)],[23714, 3326])).
% 8.48/6.46 tff(23716,plain,
% 8.48/6.46 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB191) <=> (v116(constB191) | v123(constB191)))),
% 8.48/6.46 inference(quant_inst,[status(thm)],[])).
% 8.48/6.46 tff(23717,plain,
% 8.48/6.46 (v115(constB191) <=> (v116(constB191) | v123(constB191))),
% 8.48/6.46 inference(unit_resolution,[status(thm)],[23716, 3335])).
% 8.48/6.46 tff(23718,plain,
% 8.48/6.46 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB191) <=> (v117(constB191) | v122(constB191)))),
% 8.48/6.46 inference(quant_inst,[status(thm)],[])).
% 8.48/6.46 tff(23719,plain,
% 8.48/6.46 (v116(constB191) <=> (v117(constB191) | v122(constB191))),
% 8.48/6.46 inference(unit_resolution,[status(thm)],[23718, 3344])).
% 8.48/6.46 tff(23720,plain,
% 8.48/6.46 ((v117(constB191) | v122(constB191)) | (~v122(constB191))),
% 8.48/6.46 inference(tautology,[status(thm)],[])).
% 8.48/6.46 tff(23721,plain,
% 8.48/6.46 (v117(constB191) | v122(constB191)),
% 8.48/6.46 inference(unit_resolution,[status(thm)],[23720, 23657])).
% 8.48/6.46 tff(23722,plain,
% 8.48/6.46 ((~(v116(constB191) <=> (v117(constB191) | v122(constB191)))) | v116(constB191) | (~(v117(constB191) | v122(constB191)))),
% 8.48/6.46 inference(tautology,[status(thm)],[])).
% 8.48/6.46 tff(23723,plain,
% 8.48/6.46 (v116(constB191)),
% 8.48/6.46 inference(unit_resolution,[status(thm)],[23722, 23721, 23719])).
% 8.48/6.46 tff(23724,plain,
% 8.48/6.46 ((v116(constB191) | v123(constB191)) | (~v116(constB191))),
% 8.48/6.46 inference(tautology,[status(thm)],[])).
% 8.48/6.46 tff(23725,plain,
% 8.48/6.46 (v116(constB191) | v123(constB191)),
% 8.48/6.46 inference(unit_resolution,[status(thm)],[23724, 23723])).
% 8.48/6.46 tff(23726,plain,
% 8.48/6.46 ((~(v115(constB191) <=> (v116(constB191) | v123(constB191)))) | v115(constB191) | (~(v116(constB191) | v123(constB191)))),
% 8.48/6.46 inference(tautology,[status(thm)],[])).
% 8.48/6.46 tff(23727,plain,
% 8.48/6.46 (v115(constB191)),
% 8.48/6.46 inference(unit_resolution,[status(thm)],[23726, 23725, 23717])).
% 8.48/6.46 tff(23728,plain,
% 8.48/6.46 ((v115(constB191) | v124(constB191)) | (~v115(constB191))),
% 8.48/6.46 inference(tautology,[status(thm)],[])).
% 8.48/6.46 tff(23729,plain,
% 8.48/6.46 (v115(constB191) | v124(constB191)),
% 8.48/6.46 inference(unit_resolution,[status(thm)],[23728, 23727])).
% 8.48/6.46 tff(23730,plain,
% 8.48/6.46 ((~(v114(constB191) <=> (v115(constB191) | v124(constB191)))) | v114(constB191) | (~(v115(constB191) | v124(constB191)))),
% 8.48/6.46 inference(tautology,[status(thm)],[])).
% 8.48/6.46 tff(23731,plain,
% 8.48/6.46 (v114(constB191)),
% 8.48/6.46 inference(unit_resolution,[status(thm)],[23730, 23729, 23715])).
% 8.48/6.46 tff(23732,plain,
% 8.48/6.46 ((v114(constB191) | v125(constB191)) | (~v114(constB191))),
% 8.48/6.46 inference(tautology,[status(thm)],[])).
% 8.48/6.46 tff(23733,plain,
% 8.48/6.46 (v114(constB191) | v125(constB191)),
% 8.48/6.46 inference(unit_resolution,[status(thm)],[23732, 23731])).
% 8.48/6.46 tff(23734,plain,
% 8.48/6.46 ((~(v113(constB191) <=> (v114(constB191) | v125(constB191)))) | v113(constB191) | (~(v114(constB191) | v125(constB191)))),
% 8.48/6.46 inference(tautology,[status(thm)],[])).
% 8.48/6.46 tff(23735,plain,
% 8.48/6.46 (v113(constB191)),
% 8.48/6.46 inference(unit_resolution,[status(thm)],[23734, 23733, 23713])).
% 8.48/6.46 tff(23736,plain,
% 8.48/6.46 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB191)) <=> v111(constB191))),
% 8.48/6.46 inference(quant_inst,[status(thm)],[])).
% 8.48/6.46 tff(23737,plain,
% 8.48/6.46 ((~v126(constB191)) <=> v111(constB191)),
% 8.48/6.46 inference(unit_resolution,[status(thm)],[23736, 3396])).
% 8.48/6.46 tff(23738,plain,
% 8.48/6.46 ((~((~v126(constB191)) <=> v111(constB191))) | v126(constB191) | v111(constB191)),
% 8.48/6.46 inference(tautology,[status(thm)],[])).
% 8.48/6.46 tff(23739,plain,
% 8.48/6.46 ((~((~v126(constB191)) <=> v111(constB191))) | v126(constB191)),
% 8.48/6.46 inference(unit_resolution,[status(thm)],[23738, 15116])).
% 8.48/6.46 tff(23740,plain,
% 8.48/6.46 (v126(constB191)),
% 8.48/6.46 inference(unit_resolution,[status(thm)],[23739, 23737])).
% 8.48/6.46 tff(23741,plain,
% 8.48/6.46 ((~((~v113(constB191)) | (~v126(constB191)))) | (~v113(constB191)) | (~v126(constB191))),
% 8.48/6.46 inference(tautology,[status(thm)],[])).
% 8.48/6.46 tff(23742,plain,
% 8.48/6.46 ((~((~v113(constB191)) | (~v126(constB191)))) | (~v113(constB191))),
% 8.48/6.46 inference(unit_resolution,[status(thm)],[23741, 23740])).
% 8.48/6.46 tff(23743,plain,
% 8.48/6.46 (~((~v113(constB191)) | (~v126(constB191)))),
% 8.48/6.46 inference(unit_resolution,[status(thm)],[23742, 23735])).
% 8.48/6.46 tff(23744,plain,
% 8.48/6.46 ((~(v112(constB191) <=> (~((~v113(constB191)) | (~v126(constB191)))))) | v112(constB191) | ((~v113(constB191)) | (~v126(constB191)))),
% 8.48/6.46 inference(tautology,[status(thm)],[])).
% 8.48/6.46 tff(23745,plain,
% 8.48/6.46 (v112(constB191)),
% 8.48/6.46 inference(unit_resolution,[status(thm)],[23744, 23743, 23711])).
% 8.48/6.46 tff(23746,plain,
% 8.48/6.46 ((v111(constB191) | v112(constB191)) | (~v112(constB191))),
% 8.48/6.46 inference(tautology,[status(thm)],[])).
% 8.48/6.46 tff(23747,plain,
% 8.48/6.46 (v111(constB191) | v112(constB191)),
% 8.48/6.46 inference(unit_resolution,[status(thm)],[23746, 23745])).
% 8.48/6.46 tff(23748,plain,
% 8.48/6.46 ((~(v108(constB191) <=> (v111(constB191) | v112(constB191)))) | v108(constB191) | (~(v111(constB191) | v112(constB191)))),
% 8.48/6.46 inference(tautology,[status(thm)],[])).
% 8.48/6.46 tff(23749,plain,
% 8.48/6.46 (v108(constB191)),
% 8.48/6.46 inference(unit_resolution,[status(thm)],[23748, 23747, 23709])).
% 8.48/6.46 tff(23750,plain,
% 8.48/6.46 ((~(v110(constB192) <=> v108(constB191))) | v110(constB192) | (~v108(constB191))),
% 8.48/6.46 inference(tautology,[status(thm)],[])).
% 8.48/6.46 tff(23751,plain,
% 8.48/6.46 (v110(constB192)),
% 8.48/6.46 inference(unit_resolution,[status(thm)],[23750, 23749, 23707])).
% 8.48/6.46 tff(23752,plain,
% 8.48/6.46 ((~((~v101(constB192)) | (~v110(constB192)))) | (~v101(constB192)) | (~v110(constB192))),
% 8.48/6.46 inference(tautology,[status(thm)],[])).
% 8.48/6.46 tff(23753,plain,
% 8.48/6.46 (~((~v101(constB192)) | (~v110(constB192)))),
% 8.48/6.46 inference(unit_resolution,[status(thm)],[23752, 23751, 23703])).
% 8.48/6.46 tff(23754,plain,
% 8.48/6.46 ((~(v100(constB192) <=> (~((~v101(constB192)) | (~v110(constB192)))))) | v100(constB192) | ((~v101(constB192)) | (~v110(constB192)))),
% 8.48/6.46 inference(tautology,[status(thm)],[])).
% 8.48/6.46 tff(23755,plain,
% 8.48/6.46 (v100(constB192)),
% 8.48/6.46 inference(unit_resolution,[status(thm)],[23754, 23753, 23675])).
% 8.48/6.46 tff(23756,plain,
% 8.48/6.46 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB192)) | (~(((~v90(constB192, bitIndex2)) <=> v129(constB192, bitIndex2)) | ((~v90(constB192, bitIndex1)) <=> v129(constB192, bitIndex1)) | ((~v90(constB192, bitIndex0)) <=> v129(constB192, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB192)) | (~(((~v90(constB192, bitIndex2)) <=> v129(constB192, bitIndex2)) | ((~v90(constB192, bitIndex1)) <=> v129(constB192, bitIndex1)) | ((~v90(constB192, bitIndex0)) <=> v129(constB192, bitIndex0)))))),
% 8.48/6.46 inference(rewrite,[status(thm)],[])).
% 8.48/6.46 tff(23757,plain,
% 8.48/6.46 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB192)) | (~(((~v90(constB192, bitIndex2)) <=> v129(constB192, bitIndex2)) | ((~v90(constB192, bitIndex1)) <=> v129(constB192, bitIndex1)) | ((~v90(constB192, bitIndex0)) <=> v129(constB192, bitIndex0)))))),
% 8.48/6.46 inference(quant_inst,[status(thm)],[])).
% 8.48/6.46 tff(23758,plain,
% 8.48/6.46 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB192)) | (~(((~v90(constB192, bitIndex2)) <=> v129(constB192, bitIndex2)) | ((~v90(constB192, bitIndex1)) <=> v129(constB192, bitIndex1)) | ((~v90(constB192, bitIndex0)) <=> v129(constB192, bitIndex0))))),
% 8.48/6.46 inference(modus_ponens,[status(thm)],[23757, 23756])).
% 8.48/6.46 tff(23759,plain,
% 8.48/6.46 ((~v100(constB192)) | (~(((~v90(constB192, bitIndex2)) <=> v129(constB192, bitIndex2)) | ((~v90(constB192, bitIndex1)) <=> v129(constB192, bitIndex1)) | ((~v90(constB192, bitIndex0)) <=> v129(constB192, bitIndex0))))),
% 8.48/6.46 inference(unit_resolution,[status(thm)],[23758, 3429])).
% 8.48/6.46 tff(23760,plain,
% 8.48/6.46 (~(((~v90(constB192, bitIndex2)) <=> v129(constB192, bitIndex2)) | ((~v90(constB192, bitIndex1)) <=> v129(constB192, bitIndex1)) | ((~v90(constB192, bitIndex0)) <=> v129(constB192, bitIndex0)))),
% 8.48/6.46 inference(unit_resolution,[status(thm)],[23759, 23755])).
% 8.48/6.46 tff(23761,plain,
% 8.48/6.46 ((((~v90(constB192, bitIndex2)) <=> v129(constB192, bitIndex2)) | ((~v90(constB192, bitIndex1)) <=> v129(constB192, bitIndex1)) | ((~v90(constB192, bitIndex0)) <=> v129(constB192, bitIndex0))) | (~((~v90(constB192, bitIndex2)) <=> v129(constB192, bitIndex2)))),
% 8.48/6.46 inference(tautology,[status(thm)],[])).
% 8.48/6.46 tff(23762,plain,
% 8.48/6.46 (~((~v90(constB192, bitIndex2)) <=> v129(constB192, bitIndex2))),
% 8.48/6.46 inference(unit_resolution,[status(thm)],[23761, 23760])).
% 8.48/6.46 tff(23763,plain,
% 8.48/6.46 (((~v90(constB192, bitIndex2)) <=> v129(constB192, bitIndex2)) | v90(constB192, bitIndex2) | (~v129(constB192, bitIndex2))),
% 8.48/6.46 inference(tautology,[status(thm)],[])).
% 8.48/6.46 tff(23764,plain,
% 8.48/6.46 (v90(constB192, bitIndex2)),
% 8.48/6.46 inference(unit_resolution,[status(thm)],[23763, 23762, 23671])).
% 8.48/6.47 tff(23765,plain,
% 8.48/6.47 (((~v90(constB193, bitIndex2)) <=> v90(constB192, bitIndex2)) | v90(constB193, bitIndex2) | (~v90(constB192, bitIndex2))),
% 8.48/6.47 inference(tautology,[status(thm)],[])).
% 8.48/6.47 tff(23766,plain,
% 8.48/6.47 (v90(constB193, bitIndex2)),
% 8.48/6.47 inference(unit_resolution,[status(thm)],[23765, 23764, 15100])).
% 8.48/6.47 tff(23767,plain,
% 8.48/6.47 ((((~v90(constB193, bitIndex1)) <=> v90(constB192, bitIndex1)) | ((~v90(constB193, bitIndex2)) <=> v90(constB192, bitIndex2)) | ((~v90(constB193, bitIndex0)) <=> v90(constB192, bitIndex0))) | (~((~v90(constB193, bitIndex0)) <=> v90(constB192, bitIndex0)))),
% 8.48/6.47 inference(tautology,[status(thm)],[])).
% 8.48/6.47 tff(23768,plain,
% 8.48/6.47 (~((~v90(constB193, bitIndex0)) <=> v90(constB192, bitIndex0))),
% 8.48/6.47 inference(unit_resolution,[status(thm)],[23767, 15098])).
% 8.48/6.47 tff(23769,plain,
% 8.48/6.47 ((((~v129(constB192, bitIndex2)) <=> v127(constB191, bitIndex2)) | ((~v129(constB192, bitIndex1)) <=> v127(constB191, bitIndex1)) | ((~v129(constB192, bitIndex0)) <=> v127(constB191, bitIndex0))) | (~((~v129(constB192, bitIndex0)) <=> v127(constB191, bitIndex0)))),
% 8.55/6.47 inference(tautology,[status(thm)],[])).
% 8.55/6.47 tff(23770,plain,
% 8.55/6.47 (~((~v129(constB192, bitIndex0)) <=> v127(constB191, bitIndex0))),
% 8.55/6.47 inference(unit_resolution,[status(thm)],[23769, 15107])).
% 8.55/6.47 tff(23771,plain,
% 8.55/6.47 ((((~v127(constB191, bitIndex2)) <=> v130(constB191, bitIndex2)) | ((~v127(constB191, bitIndex1)) <=> v130(constB191, bitIndex1)) | ((~v127(constB191, bitIndex0)) <=> v130(constB191, bitIndex0))) | (~((~v127(constB191, bitIndex0)) <=> v130(constB191, bitIndex0)))),
% 8.55/6.47 inference(tautology,[status(thm)],[])).
% 8.55/6.47 tff(23772,plain,
% 8.55/6.47 (~((~v127(constB191, bitIndex0)) <=> v130(constB191, bitIndex0))),
% 8.55/6.47 inference(unit_resolution,[status(thm)],[23771, 15121])).
% 8.55/6.47 tff(23773,plain,
% 8.55/6.47 ((v130(constB191, bitIndex1) | v130(constB191, bitIndex0) | (~v130(constB191, bitIndex2))) | (~v130(constB191, bitIndex0))),
% 8.55/6.47 inference(tautology,[status(thm)],[])).
% 8.55/6.47 tff(23774,plain,
% 8.55/6.47 (~v130(constB191, bitIndex0)),
% 8.55/6.47 inference(unit_resolution,[status(thm)],[23773, 23665])).
% 8.55/6.47 tff(23775,plain,
% 8.55/6.47 (((~v127(constB191, bitIndex0)) <=> v130(constB191, bitIndex0)) | (~v127(constB191, bitIndex0)) | v130(constB191, bitIndex0)),
% 8.55/6.47 inference(tautology,[status(thm)],[])).
% 8.55/6.47 tff(23776,plain,
% 8.55/6.47 (~v127(constB191, bitIndex0)),
% 8.55/6.47 inference(unit_resolution,[status(thm)],[23775, 23774, 23772])).
% 8.55/6.47 tff(23777,plain,
% 8.55/6.47 (((~v129(constB192, bitIndex0)) <=> v127(constB191, bitIndex0)) | (~v129(constB192, bitIndex0)) | v127(constB191, bitIndex0)),
% 8.55/6.47 inference(tautology,[status(thm)],[])).
% 8.55/6.47 tff(23778,plain,
% 8.55/6.47 (~v129(constB192, bitIndex0)),
% 8.55/6.47 inference(unit_resolution,[status(thm)],[23777, 23776, 23770])).
% 8.55/6.47 tff(23779,plain,
% 8.55/6.47 ((((~v90(constB192, bitIndex2)) <=> v129(constB192, bitIndex2)) | ((~v90(constB192, bitIndex1)) <=> v129(constB192, bitIndex1)) | ((~v90(constB192, bitIndex0)) <=> v129(constB192, bitIndex0))) | (~((~v90(constB192, bitIndex0)) <=> v129(constB192, bitIndex0)))),
% 8.55/6.47 inference(tautology,[status(thm)],[])).
% 8.55/6.47 tff(23780,plain,
% 8.55/6.47 (~((~v90(constB192, bitIndex0)) <=> v129(constB192, bitIndex0))),
% 8.55/6.47 inference(unit_resolution,[status(thm)],[23779, 23760])).
% 8.55/6.47 tff(23781,plain,
% 8.55/6.47 (((~v90(constB192, bitIndex0)) <=> v129(constB192, bitIndex0)) | (~v90(constB192, bitIndex0)) | v129(constB192, bitIndex0)),
% 8.55/6.47 inference(tautology,[status(thm)],[])).
% 8.55/6.47 tff(23782,plain,
% 8.55/6.47 (~v90(constB192, bitIndex0)),
% 8.55/6.47 inference(unit_resolution,[status(thm)],[23781, 23780, 23778])).
% 8.55/6.47 tff(23783,plain,
% 8.55/6.47 (((~v90(constB193, bitIndex0)) <=> v90(constB192, bitIndex0)) | (~v90(constB193, bitIndex0)) | v90(constB192, bitIndex0)),
% 8.55/6.47 inference(tautology,[status(thm)],[])).
% 8.55/6.47 tff(23784,plain,
% 8.55/6.47 (~v90(constB193, bitIndex0)),
% 8.55/6.47 inference(unit_resolution,[status(thm)],[23783, 23782, 23768])).
% 8.55/6.47 tff(23785,plain,
% 8.55/6.47 ((((~v90(constB193, bitIndex1)) <=> v90(constB192, bitIndex1)) | ((~v90(constB193, bitIndex2)) <=> v90(constB192, bitIndex2)) | ((~v90(constB193, bitIndex0)) <=> v90(constB192, bitIndex0))) | (~((~v90(constB193, bitIndex1)) <=> v90(constB192, bitIndex1)))),
% 8.55/6.47 inference(tautology,[status(thm)],[])).
% 8.55/6.47 tff(23786,plain,
% 8.55/6.47 (~((~v90(constB193, bitIndex1)) <=> v90(constB192, bitIndex1))),
% 8.55/6.47 inference(unit_resolution,[status(thm)],[23785, 15098])).
% 8.55/6.47 tff(23787,plain,
% 8.55/6.47 ((((~v129(constB192, bitIndex2)) <=> v127(constB191, bitIndex2)) | ((~v129(constB192, bitIndex1)) <=> v127(constB191, bitIndex1)) | ((~v129(constB192, bitIndex0)) <=> v127(constB191, bitIndex0))) | (~((~v129(constB192, bitIndex1)) <=> v127(constB191, bitIndex1)))),
% 8.55/6.47 inference(tautology,[status(thm)],[])).
% 8.55/6.47 tff(23788,plain,
% 8.55/6.47 (~((~v129(constB192, bitIndex1)) <=> v127(constB191, bitIndex1))),
% 8.55/6.47 inference(unit_resolution,[status(thm)],[23787, 15107])).
% 8.55/6.47 tff(23789,plain,
% 8.55/6.47 ((((~v127(constB191, bitIndex2)) <=> v130(constB191, bitIndex2)) | ((~v127(constB191, bitIndex1)) <=> v130(constB191, bitIndex1)) | ((~v127(constB191, bitIndex0)) <=> v130(constB191, bitIndex0))) | (~((~v127(constB191, bitIndex1)) <=> v130(constB191, bitIndex1)))),
% 8.55/6.47 inference(tautology,[status(thm)],[])).
% 8.55/6.47 tff(23790,plain,
% 8.55/6.47 (~((~v127(constB191, bitIndex1)) <=> v130(constB191, bitIndex1))),
% 8.55/6.47 inference(unit_resolution,[status(thm)],[23789, 15121])).
% 8.55/6.47 tff(23791,plain,
% 8.55/6.47 ((v130(constB191, bitIndex1) | v130(constB191, bitIndex0) | (~v130(constB191, bitIndex2))) | (~v130(constB191, bitIndex1))),
% 8.55/6.47 inference(tautology,[status(thm)],[])).
% 8.55/6.47 tff(23792,plain,
% 8.55/6.47 (~v130(constB191, bitIndex1)),
% 8.55/6.47 inference(unit_resolution,[status(thm)],[23791, 23665])).
% 8.55/6.47 tff(23793,plain,
% 8.55/6.47 (((~v127(constB191, bitIndex1)) <=> v130(constB191, bitIndex1)) | (~v127(constB191, bitIndex1)) | v130(constB191, bitIndex1)),
% 8.55/6.47 inference(tautology,[status(thm)],[])).
% 8.55/6.47 tff(23794,plain,
% 8.55/6.47 (~v127(constB191, bitIndex1)),
% 8.55/6.47 inference(unit_resolution,[status(thm)],[23793, 23792, 23790])).
% 8.55/6.47 tff(23795,plain,
% 8.55/6.47 (((~v129(constB192, bitIndex1)) <=> v127(constB191, bitIndex1)) | (~v129(constB192, bitIndex1)) | v127(constB191, bitIndex1)),
% 8.55/6.47 inference(tautology,[status(thm)],[])).
% 8.55/6.47 tff(23796,plain,
% 8.55/6.47 (~v129(constB192, bitIndex1)),
% 8.55/6.47 inference(unit_resolution,[status(thm)],[23795, 23794, 23788])).
% 8.55/6.47 tff(23797,plain,
% 8.55/6.47 ((((~v90(constB192, bitIndex2)) <=> v129(constB192, bitIndex2)) | ((~v90(constB192, bitIndex1)) <=> v129(constB192, bitIndex1)) | ((~v90(constB192, bitIndex0)) <=> v129(constB192, bitIndex0))) | (~((~v90(constB192, bitIndex1)) <=> v129(constB192, bitIndex1)))),
% 8.55/6.47 inference(tautology,[status(thm)],[])).
% 8.55/6.47 tff(23798,plain,
% 8.55/6.47 (~((~v90(constB192, bitIndex1)) <=> v129(constB192, bitIndex1))),
% 8.55/6.47 inference(unit_resolution,[status(thm)],[23797, 23760])).
% 8.55/6.47 tff(23799,plain,
% 8.55/6.47 (((~v90(constB192, bitIndex1)) <=> v129(constB192, bitIndex1)) | (~v90(constB192, bitIndex1)) | v129(constB192, bitIndex1)),
% 8.55/6.47 inference(tautology,[status(thm)],[])).
% 8.55/6.47 tff(23800,plain,
% 8.55/6.47 (~v90(constB192, bitIndex1)),
% 8.55/6.47 inference(unit_resolution,[status(thm)],[23799, 23798, 23796])).
% 8.55/6.47 tff(23801,plain,
% 8.55/6.47 (((~v90(constB193, bitIndex1)) <=> v90(constB192, bitIndex1)) | (~v90(constB193, bitIndex1)) | v90(constB192, bitIndex1)),
% 8.55/6.47 inference(tautology,[status(thm)],[])).
% 8.55/6.47 tff(23802,plain,
% 8.55/6.47 (~v90(constB193, bitIndex1)),
% 8.55/6.47 inference(unit_resolution,[status(thm)],[23801, 23800, 23786])).
% 8.55/6.47 tff(23803,plain,
% 8.55/6.47 ((~(v90(constB193, bitIndex1) | v90(constB193, bitIndex0) | (~v90(constB193, bitIndex2)))) | v90(constB193, bitIndex1) | v90(constB193, bitIndex0) | (~v90(constB193, bitIndex2))),
% 8.55/6.47 inference(tautology,[status(thm)],[])).
% 8.55/6.47 tff(23804,plain,
% 8.55/6.47 (~(v90(constB193, bitIndex1) | v90(constB193, bitIndex0) | (~v90(constB193, bitIndex2)))),
% 8.55/6.47 inference(unit_resolution,[status(thm)],[23803, 23802, 23784, 23766])).
% 8.55/6.47 tff(23805,plain,
% 8.55/6.47 ((~(v123(constB193) <=> (~(v90(constB193, bitIndex1) | v90(constB193, bitIndex0) | (~v90(constB193, bitIndex2)))))) | v123(constB193) | (v90(constB193, bitIndex1) | v90(constB193, bitIndex0) | (~v90(constB193, bitIndex2)))),
% 8.55/6.47 inference(tautology,[status(thm)],[])).
% 8.55/6.47 tff(23806,plain,
% 8.55/6.47 (v123(constB193)),
% 8.55/6.47 inference(unit_resolution,[status(thm)],[23805, 23804, 15064])).
% 8.55/6.47 tff(23807,plain,
% 8.55/6.47 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | ((~v123(constB193)) | (~(v130(constB193, bitIndex0) | (~v130(constB193, bitIndex2)) | (~v130(constB193, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | (~v123(constB193)) | (~(v130(constB193, bitIndex0) | (~v130(constB193, bitIndex2)) | (~v130(constB193, bitIndex1)))))),
% 8.55/6.47 inference(rewrite,[status(thm)],[])).
% 8.55/6.47 tff(23808,plain,
% 8.55/6.47 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | ((~v123(constB193)) | (~(v130(constB193, bitIndex0) | (~v130(constB193, bitIndex2)) | (~v130(constB193, bitIndex1)))))),
% 8.55/6.47 inference(quant_inst,[status(thm)],[])).
% 8.55/6.47 tff(23809,plain,
% 8.55/6.47 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | (~v123(constB193)) | (~(v130(constB193, bitIndex0) | (~v130(constB193, bitIndex2)) | (~v130(constB193, bitIndex1))))),
% 8.55/6.47 inference(modus_ponens,[status(thm)],[23808, 23807])).
% 8.55/6.47 tff(23810,plain,
% 8.55/6.47 ((~v123(constB193)) | (~(v130(constB193, bitIndex0) | (~v130(constB193, bitIndex2)) | (~v130(constB193, bitIndex1))))),
% 8.55/6.47 inference(unit_resolution,[status(thm)],[23809, 3496])).
% 8.55/6.47 tff(23811,plain,
% 8.55/6.47 (~(v130(constB193, bitIndex0) | (~v130(constB193, bitIndex2)) | (~v130(constB193, bitIndex1)))),
% 8.55/6.47 inference(unit_resolution,[status(thm)],[23810, 23806])).
% 8.55/6.47 tff(23812,plain,
% 8.55/6.47 ((v130(constB193, bitIndex0) | (~v130(constB193, bitIndex2)) | (~v130(constB193, bitIndex1))) | v130(constB193, bitIndex2)),
% 8.55/6.47 inference(tautology,[status(thm)],[])).
% 8.55/6.47 tff(23813,plain,
% 8.55/6.47 (v130(constB193, bitIndex2)),
% 8.55/6.47 inference(unit_resolution,[status(thm)],[23812, 23811])).
% 8.55/6.47 tff(23814,plain,
% 8.55/6.47 (((~v127(constB193, bitIndex2)) <=> v130(constB193, bitIndex2)) | v127(constB193, bitIndex2) | (~v130(constB193, bitIndex2))),
% 8.55/6.47 inference(tautology,[status(thm)],[])).
% 8.55/6.47 tff(23815,plain,
% 8.55/6.47 (v127(constB193, bitIndex2)),
% 8.55/6.47 inference(unit_resolution,[status(thm)],[23814, 23813, 15057])).
% 8.55/6.47 tff(23816,plain,
% 8.55/6.47 (((~v129(constB194, bitIndex2)) <=> v127(constB193, bitIndex2)) | v129(constB194, bitIndex2) | (~v127(constB193, bitIndex2))),
% 8.55/6.47 inference(tautology,[status(thm)],[])).
% 8.55/6.47 tff(23817,plain,
% 8.55/6.47 (v129(constB194, bitIndex2)),
% 8.55/6.47 inference(unit_resolution,[status(thm)],[23816, 23815, 15043])).
% 8.55/6.47 tff(23818,plain,
% 8.55/6.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB193, constB194)) | (v100(constB194) <=> (~((~v101(constB194)) | (~v110(constB194))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB193, constB194)) | (v100(constB194) <=> (~((~v101(constB194)) | (~v110(constB194))))))),
% 8.55/6.47 inference(rewrite,[status(thm)],[])).
% 8.55/6.47 tff(23819,plain,
% 8.55/6.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB193, constB194)) | (v100(constB194) <=> (~((~v101(constB194)) | (~v110(constB194))))))),
% 8.55/6.47 inference(quant_inst,[status(thm)],[])).
% 8.55/6.47 tff(23820,plain,
% 8.55/6.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB193, constB194)) | (v100(constB194) <=> (~((~v101(constB194)) | (~v110(constB194)))))),
% 8.55/6.47 inference(modus_ponens,[status(thm)],[23819, 23818])).
% 8.55/6.47 tff(23821,plain,
% 8.55/6.47 (v100(constB194) <=> (~((~v101(constB194)) | (~v110(constB194))))),
% 8.55/6.47 inference(unit_resolution,[status(thm)],[23820, 15037, 445])).
% 8.55/6.47 tff(23822,plain,
% 8.55/6.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB193, constB194)) | (v101(constB194) <=> (~((~v1(constB194)) | (~v102(constB194))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB193, constB194)) | (v101(constB194) <=> (~((~v1(constB194)) | (~v102(constB194))))))),
% 8.55/6.47 inference(rewrite,[status(thm)],[])).
% 8.55/6.47 tff(23823,plain,
% 8.55/6.47 (((~nextState(constB193, constB194)) | (v101(constB194) <=> (~((~v102(constB194)) | (~v1(constB194)))))) <=> ((~nextState(constB193, constB194)) | (v101(constB194) <=> (~((~v1(constB194)) | (~v102(constB194))))))),
% 8.55/6.47 inference(rewrite,[status(thm)],[])).
% 8.55/6.47 tff(23824,plain,
% 8.55/6.47 (((~![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) <=> (~((~v1(constB194)) | (~v102(constB194)))))))),
% 8.55/6.47 inference(monotonicity,[status(thm)],[23823])).
% 8.55/6.47 tff(23825,plain,
% 8.56/6.47 (((~![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) <=> (~((~v1(constB194)) | (~v102(constB194))))))),
% 8.56/6.47 inference(transitivity,[status(thm)],[23824, 23822])).
% 8.56/6.47 tff(23826,plain,
% 8.56/6.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB193, constB194)) | (v101(constB194) <=> (~((~v102(constB194)) | (~v1(constB194))))))),
% 8.56/6.47 inference(quant_inst,[status(thm)],[])).
% 8.56/6.47 tff(23827,plain,
% 8.56/6.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB193, constB194)) | (v101(constB194) <=> (~((~v1(constB194)) | (~v102(constB194)))))),
% 8.56/6.47 inference(modus_ponens,[status(thm)],[23826, 23825])).
% 8.56/6.47 tff(23828,plain,
% 8.56/6.47 (v101(constB194) <=> (~((~v1(constB194)) | (~v102(constB194))))),
% 8.56/6.47 inference(unit_resolution,[status(thm)],[23827, 15037, 465])).
% 8.56/6.47 tff(23829,plain,
% 8.56/6.47 (((~![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)))),
% 8.56/6.47 inference(rewrite,[status(thm)],[])).
% 8.56/6.47 tff(23830,plain,
% 8.56/6.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB193, constB194)) | ((~v102(constB194)) <=> v104(constB194)))),
% 8.56/6.47 inference(quant_inst,[status(thm)],[])).
% 8.56/6.47 tff(23831,plain,
% 8.56/6.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB193, constB194)) | ((~v102(constB194)) <=> v104(constB194))),
% 8.56/6.47 inference(modus_ponens,[status(thm)],[23830, 23829])).
% 8.56/6.47 tff(23832,plain,
% 8.56/6.47 ((~v102(constB194)) <=> v104(constB194)),
% 8.56/6.47 inference(unit_resolution,[status(thm)],[23831, 15037, 3244])).
% 8.56/6.47 tff(23833,plain,
% 8.56/6.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB193, constB194)) | (v104(constB194) <=> v1(constB193)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB193, constB194)) | (v104(constB194) <=> v1(constB193)))),
% 8.56/6.47 inference(rewrite,[status(thm)],[])).
% 8.56/6.47 tff(23834,plain,
% 8.56/6.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB193, constB194)) | (v104(constB194) <=> v1(constB193)))),
% 8.56/6.47 inference(quant_inst,[status(thm)],[])).
% 8.56/6.47 tff(23835,plain,
% 8.56/6.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB193, constB194)) | (v104(constB194) <=> v1(constB193))),
% 8.56/6.47 inference(modus_ponens,[status(thm)],[23834, 23833])).
% 8.56/6.47 tff(23836,plain,
% 8.56/6.47 (v104(constB194) <=> v1(constB193)),
% 8.56/6.47 inference(unit_resolution,[status(thm)],[23835, 15037, 3258])).
% 8.56/6.47 tff(23837,plain,
% 8.56/6.47 ((~(v104(constB194) <=> v1(constB193))) | (~v104(constB194)) | v1(constB193)),
% 8.56/6.47 inference(tautology,[status(thm)],[])).
% 8.56/6.47 tff(23838,plain,
% 8.56/6.47 ((~(v104(constB194) <=> v1(constB193))) | (~v104(constB194))),
% 8.56/6.47 inference(unit_resolution,[status(thm)],[23837, 15081])).
% 8.56/6.47 tff(23839,plain,
% 8.56/6.47 (~v104(constB194)),
% 8.56/6.47 inference(unit_resolution,[status(thm)],[23838, 23836])).
% 8.56/6.47 tff(23840,plain,
% 8.56/6.47 ((~((~v102(constB194)) <=> v104(constB194))) | v102(constB194) | v104(constB194)),
% 8.56/6.47 inference(tautology,[status(thm)],[])).
% 8.56/6.47 tff(23841,plain,
% 8.56/6.47 (v102(constB194)),
% 8.56/6.47 inference(unit_resolution,[status(thm)],[23840, 23839, 23832])).
% 8.56/6.47 tff(23842,plain,
% 8.56/6.47 (v1(constB194) <=> v1(constB194)),
% 8.56/6.47 inference(rewrite,[status(thm)],[])).
% 8.56/6.47 tff(23843,axiom,(v1(constB194)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_194')).
% 8.56/6.47 tff(23844,plain,
% 8.56/6.47 (v1(constB194)),
% 8.56/6.47 inference(modus_ponens,[status(thm)],[23843, 23842])).
% 8.56/6.47 tff(23845,plain,
% 8.56/6.47 ((~((~v1(constB194)) | (~v102(constB194)))) | (~v1(constB194)) | (~v102(constB194))),
% 8.56/6.47 inference(tautology,[status(thm)],[])).
% 8.56/6.47 tff(23846,plain,
% 8.56/6.47 ((~((~v1(constB194)) | (~v102(constB194)))) | (~v102(constB194))),
% 8.56/6.47 inference(unit_resolution,[status(thm)],[23845, 23844])).
% 8.56/6.47 tff(23847,plain,
% 8.56/6.47 (~((~v1(constB194)) | (~v102(constB194)))),
% 8.56/6.47 inference(unit_resolution,[status(thm)],[23846, 23841])).
% 8.56/6.47 tff(23848,plain,
% 8.56/6.47 ((~(v101(constB194) <=> (~((~v1(constB194)) | (~v102(constB194)))))) | v101(constB194) | ((~v1(constB194)) | (~v102(constB194)))),
% 8.56/6.47 inference(tautology,[status(thm)],[])).
% 8.56/6.47 tff(23849,plain,
% 8.56/6.47 (v101(constB194)),
% 8.56/6.47 inference(unit_resolution,[status(thm)],[23848, 23847, 23828])).
% 8.56/6.47 tff(23850,plain,
% 8.56/6.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB193, constB194)) | (v110(constB194) <=> v108(constB193)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB193, constB194)) | (v110(constB194) <=> v108(constB193)))),
% 8.56/6.47 inference(rewrite,[status(thm)],[])).
% 8.56/6.47 tff(23851,plain,
% 8.56/6.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB193, constB194)) | (v110(constB194) <=> v108(constB193)))),
% 8.56/6.47 inference(quant_inst,[status(thm)],[])).
% 8.56/6.47 tff(23852,plain,
% 8.56/6.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB193, constB194)) | (v110(constB194) <=> v108(constB193))),
% 8.56/6.47 inference(modus_ponens,[status(thm)],[23851, 23850])).
% 8.56/6.47 tff(23853,plain,
% 8.56/6.47 (v110(constB194) <=> v108(constB193)),
% 8.56/6.47 inference(unit_resolution,[status(thm)],[23852, 15037, 3285])).
% 8.56/6.47 tff(23854,plain,
% 8.56/6.47 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB193) <=> (v111(constB193) | v112(constB193)))),
% 8.56/6.47 inference(quant_inst,[status(thm)],[])).
% 8.56/6.47 tff(23855,plain,
% 8.56/6.47 (v108(constB193) <=> (v111(constB193) | v112(constB193))),
% 8.56/6.47 inference(unit_resolution,[status(thm)],[23854, 3296])).
% 8.56/6.47 tff(23856,plain,
% 8.56/6.47 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB193) <=> (~((~v113(constB193)) | (~v126(constB193)))))),
% 8.56/6.47 inference(quant_inst,[status(thm)],[])).
% 8.56/6.47 tff(23857,plain,
% 8.56/6.47 (v112(constB193) <=> (~((~v113(constB193)) | (~v126(constB193))))),
% 8.56/6.47 inference(unit_resolution,[status(thm)],[23856, 3308])).
% 8.56/6.47 tff(23858,plain,
% 8.56/6.47 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB193) <=> (v114(constB193) | v125(constB193)))),
% 8.56/6.47 inference(quant_inst,[status(thm)],[])).
% 8.56/6.47 tff(23859,plain,
% 8.56/6.47 (v113(constB193) <=> (v114(constB193) | v125(constB193))),
% 8.56/6.47 inference(unit_resolution,[status(thm)],[23858, 3317])).
% 8.56/6.47 tff(23860,plain,
% 8.56/6.47 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB193) <=> (v115(constB193) | v124(constB193)))),
% 8.56/6.47 inference(quant_inst,[status(thm)],[])).
% 8.56/6.47 tff(23861,plain,
% 8.56/6.47 (v114(constB193) <=> (v115(constB193) | v124(constB193))),
% 8.56/6.47 inference(unit_resolution,[status(thm)],[23860, 3326])).
% 8.56/6.47 tff(23862,plain,
% 8.56/6.47 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB193) <=> (v116(constB193) | v123(constB193)))),
% 8.56/6.47 inference(quant_inst,[status(thm)],[])).
% 8.56/6.47 tff(23863,plain,
% 8.56/6.47 (v115(constB193) <=> (v116(constB193) | v123(constB193))),
% 8.56/6.47 inference(unit_resolution,[status(thm)],[23862, 3335])).
% 8.56/6.47 tff(23864,plain,
% 8.56/6.47 ((v116(constB193) | v123(constB193)) | (~v123(constB193))),
% 8.56/6.47 inference(tautology,[status(thm)],[])).
% 8.56/6.47 tff(23865,plain,
% 8.56/6.47 (v116(constB193) | v123(constB193)),
% 8.56/6.47 inference(unit_resolution,[status(thm)],[23864, 23806])).
% 8.56/6.47 tff(23866,plain,
% 8.56/6.47 ((~(v115(constB193) <=> (v116(constB193) | v123(constB193)))) | v115(constB193) | (~(v116(constB193) | v123(constB193)))),
% 8.56/6.47 inference(tautology,[status(thm)],[])).
% 8.56/6.47 tff(23867,plain,
% 8.56/6.47 (v115(constB193)),
% 8.56/6.47 inference(unit_resolution,[status(thm)],[23866, 23865, 23863])).
% 8.56/6.47 tff(23868,plain,
% 8.56/6.47 ((v115(constB193) | v124(constB193)) | (~v115(constB193))),
% 8.56/6.47 inference(tautology,[status(thm)],[])).
% 8.56/6.47 tff(23869,plain,
% 8.56/6.47 (v115(constB193) | v124(constB193)),
% 8.56/6.47 inference(unit_resolution,[status(thm)],[23868, 23867])).
% 8.56/6.47 tff(23870,plain,
% 8.56/6.47 ((~(v114(constB193) <=> (v115(constB193) | v124(constB193)))) | v114(constB193) | (~(v115(constB193) | v124(constB193)))),
% 8.56/6.47 inference(tautology,[status(thm)],[])).
% 8.56/6.47 tff(23871,plain,
% 8.56/6.47 (v114(constB193)),
% 8.56/6.47 inference(unit_resolution,[status(thm)],[23870, 23869, 23861])).
% 8.56/6.47 tff(23872,plain,
% 8.56/6.47 ((v114(constB193) | v125(constB193)) | (~v114(constB193))),
% 8.56/6.47 inference(tautology,[status(thm)],[])).
% 8.56/6.47 tff(23873,plain,
% 8.56/6.47 (v114(constB193) | v125(constB193)),
% 8.56/6.47 inference(unit_resolution,[status(thm)],[23872, 23871])).
% 8.56/6.47 tff(23874,plain,
% 8.56/6.47 ((~(v113(constB193) <=> (v114(constB193) | v125(constB193)))) | v113(constB193) | (~(v114(constB193) | v125(constB193)))),
% 8.56/6.47 inference(tautology,[status(thm)],[])).
% 8.56/6.47 tff(23875,plain,
% 8.56/6.47 (v113(constB193)),
% 8.56/6.47 inference(unit_resolution,[status(thm)],[23874, 23873, 23859])).
% 8.56/6.47 tff(23876,plain,
% 8.56/6.47 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB193)) <=> v111(constB193))),
% 8.56/6.47 inference(quant_inst,[status(thm)],[])).
% 8.56/6.47 tff(23877,plain,
% 8.56/6.47 ((~v126(constB193)) <=> v111(constB193)),
% 8.56/6.47 inference(unit_resolution,[status(thm)],[23876, 3396])).
% 8.56/6.47 tff(23878,plain,
% 8.56/6.47 ((~((~v126(constB193)) <=> v111(constB193))) | v126(constB193) | v111(constB193)),
% 8.56/6.47 inference(tautology,[status(thm)],[])).
% 8.56/6.47 tff(23879,plain,
% 8.56/6.47 ((~((~v126(constB193)) <=> v111(constB193))) | v126(constB193)),
% 8.56/6.47 inference(unit_resolution,[status(thm)],[23878, 15050])).
% 8.56/6.47 tff(23880,plain,
% 8.56/6.47 (v126(constB193)),
% 8.56/6.47 inference(unit_resolution,[status(thm)],[23879, 23877])).
% 8.56/6.47 tff(23881,plain,
% 8.56/6.47 ((~((~v113(constB193)) | (~v126(constB193)))) | (~v113(constB193)) | (~v126(constB193))),
% 8.56/6.47 inference(tautology,[status(thm)],[])).
% 8.56/6.47 tff(23882,plain,
% 8.56/6.47 ((~((~v113(constB193)) | (~v126(constB193)))) | (~v113(constB193))),
% 8.56/6.47 inference(unit_resolution,[status(thm)],[23881, 23880])).
% 8.56/6.47 tff(23883,plain,
% 8.56/6.47 (~((~v113(constB193)) | (~v126(constB193)))),
% 8.56/6.47 inference(unit_resolution,[status(thm)],[23882, 23875])).
% 8.56/6.47 tff(23884,plain,
% 8.56/6.47 ((~(v112(constB193) <=> (~((~v113(constB193)) | (~v126(constB193)))))) | v112(constB193) | ((~v113(constB193)) | (~v126(constB193)))),
% 8.56/6.47 inference(tautology,[status(thm)],[])).
% 8.56/6.47 tff(23885,plain,
% 8.56/6.47 (v112(constB193)),
% 8.56/6.47 inference(unit_resolution,[status(thm)],[23884, 23883, 23857])).
% 8.56/6.47 tff(23886,plain,
% 8.56/6.47 ((v111(constB193) | v112(constB193)) | (~v112(constB193))),
% 8.56/6.47 inference(tautology,[status(thm)],[])).
% 8.56/6.47 tff(23887,plain,
% 8.56/6.47 (v111(constB193) | v112(constB193)),
% 8.56/6.47 inference(unit_resolution,[status(thm)],[23886, 23885])).
% 8.56/6.47 tff(23888,plain,
% 8.56/6.47 ((~(v108(constB193) <=> (v111(constB193) | v112(constB193)))) | v108(constB193) | (~(v111(constB193) | v112(constB193)))),
% 8.56/6.47 inference(tautology,[status(thm)],[])).
% 8.56/6.47 tff(23889,plain,
% 8.56/6.47 (v108(constB193)),
% 8.56/6.47 inference(unit_resolution,[status(thm)],[23888, 23887, 23855])).
% 8.56/6.47 tff(23890,plain,
% 8.56/6.47 ((~(v110(constB194) <=> v108(constB193))) | v110(constB194) | (~v108(constB193))),
% 8.56/6.47 inference(tautology,[status(thm)],[])).
% 8.56/6.47 tff(23891,plain,
% 8.56/6.47 (v110(constB194)),
% 8.56/6.47 inference(unit_resolution,[status(thm)],[23890, 23889, 23853])).
% 8.56/6.47 tff(23892,plain,
% 8.56/6.47 ((~((~v101(constB194)) | (~v110(constB194)))) | (~v101(constB194)) | (~v110(constB194))),
% 8.56/6.47 inference(tautology,[status(thm)],[])).
% 8.56/6.47 tff(23893,plain,
% 8.56/6.47 (~((~v101(constB194)) | (~v110(constB194)))),
% 8.56/6.47 inference(unit_resolution,[status(thm)],[23892, 23891, 23849])).
% 8.56/6.47 tff(23894,plain,
% 8.56/6.47 ((~(v100(constB194) <=> (~((~v101(constB194)) | (~v110(constB194)))))) | v100(constB194) | ((~v101(constB194)) | (~v110(constB194)))),
% 8.56/6.47 inference(tautology,[status(thm)],[])).
% 8.56/6.47 tff(23895,plain,
% 8.56/6.47 (v100(constB194)),
% 8.56/6.47 inference(unit_resolution,[status(thm)],[23894, 23893, 23821])).
% 8.56/6.47 tff(23896,plain,
% 8.56/6.47 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB194)) | (~(((~v90(constB194, bitIndex0)) <=> v129(constB194, bitIndex0)) | ((~v90(constB194, bitIndex2)) <=> v129(constB194, bitIndex2)) | ((~v90(constB194, bitIndex1)) <=> v129(constB194, bitIndex1)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB194)) | (~(((~v90(constB194, bitIndex0)) <=> v129(constB194, bitIndex0)) | ((~v90(constB194, bitIndex2)) <=> v129(constB194, bitIndex2)) | ((~v90(constB194, bitIndex1)) <=> v129(constB194, bitIndex1)))))),
% 8.56/6.47 inference(rewrite,[status(thm)],[])).
% 8.56/6.47 tff(23897,plain,
% 8.56/6.47 (((~v100(constB194)) | (~(((~v90(constB194, bitIndex2)) <=> v129(constB194, bitIndex2)) | ((~v90(constB194, bitIndex1)) <=> v129(constB194, bitIndex1)) | ((~v90(constB194, bitIndex0)) <=> v129(constB194, bitIndex0))))) <=> ((~v100(constB194)) | (~(((~v90(constB194, bitIndex0)) <=> v129(constB194, bitIndex0)) | ((~v90(constB194, bitIndex2)) <=> v129(constB194, bitIndex2)) | ((~v90(constB194, bitIndex1)) <=> v129(constB194, bitIndex1)))))),
% 8.56/6.47 inference(rewrite,[status(thm)],[])).
% 8.56/6.47 tff(23898,plain,
% 8.56/6.47 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB194)) | (~(((~v90(constB194, bitIndex2)) <=> v129(constB194, bitIndex2)) | ((~v90(constB194, bitIndex1)) <=> v129(constB194, bitIndex1)) | ((~v90(constB194, bitIndex0)) <=> v129(constB194, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB194)) | (~(((~v90(constB194, bitIndex0)) <=> v129(constB194, bitIndex0)) | ((~v90(constB194, bitIndex2)) <=> v129(constB194, bitIndex2)) | ((~v90(constB194, bitIndex1)) <=> v129(constB194, bitIndex1))))))),
% 8.56/6.47 inference(monotonicity,[status(thm)],[23897])).
% 8.56/6.47 tff(23899,plain,
% 8.56/6.47 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB194)) | (~(((~v90(constB194, bitIndex2)) <=> v129(constB194, bitIndex2)) | ((~v90(constB194, bitIndex1)) <=> v129(constB194, bitIndex1)) | ((~v90(constB194, bitIndex0)) <=> v129(constB194, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB194)) | (~(((~v90(constB194, bitIndex0)) <=> v129(constB194, bitIndex0)) | ((~v90(constB194, bitIndex2)) <=> v129(constB194, bitIndex2)) | ((~v90(constB194, bitIndex1)) <=> v129(constB194, bitIndex1)))))),
% 8.56/6.47 inference(transitivity,[status(thm)],[23898, 23896])).
% 8.56/6.47 tff(23900,plain,
% 8.56/6.47 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB194)) | (~(((~v90(constB194, bitIndex2)) <=> v129(constB194, bitIndex2)) | ((~v90(constB194, bitIndex1)) <=> v129(constB194, bitIndex1)) | ((~v90(constB194, bitIndex0)) <=> v129(constB194, bitIndex0)))))),
% 8.56/6.47 inference(quant_inst,[status(thm)],[])).
% 8.56/6.47 tff(23901,plain,
% 8.56/6.47 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB194)) | (~(((~v90(constB194, bitIndex0)) <=> v129(constB194, bitIndex0)) | ((~v90(constB194, bitIndex2)) <=> v129(constB194, bitIndex2)) | ((~v90(constB194, bitIndex1)) <=> v129(constB194, bitIndex1))))),
% 8.56/6.48 inference(modus_ponens,[status(thm)],[23900, 23899])).
% 8.56/6.48 tff(23902,plain,
% 8.56/6.48 ((~v100(constB194)) | (~(((~v90(constB194, bitIndex0)) <=> v129(constB194, bitIndex0)) | ((~v90(constB194, bitIndex2)) <=> v129(constB194, bitIndex2)) | ((~v90(constB194, bitIndex1)) <=> v129(constB194, bitIndex1))))),
% 8.56/6.48 inference(unit_resolution,[status(thm)],[23901, 3429])).
% 8.56/6.48 tff(23903,plain,
% 8.56/6.48 (~(((~v90(constB194, bitIndex0)) <=> v129(constB194, bitIndex0)) | ((~v90(constB194, bitIndex2)) <=> v129(constB194, bitIndex2)) | ((~v90(constB194, bitIndex1)) <=> v129(constB194, bitIndex1)))),
% 8.56/6.48 inference(unit_resolution,[status(thm)],[23902, 23895])).
% 8.56/6.48 tff(23904,plain,
% 8.56/6.48 ((((~v90(constB194, bitIndex0)) <=> v129(constB194, bitIndex0)) | ((~v90(constB194, bitIndex2)) <=> v129(constB194, bitIndex2)) | ((~v90(constB194, bitIndex1)) <=> v129(constB194, bitIndex1))) | (~((~v90(constB194, bitIndex2)) <=> v129(constB194, bitIndex2)))),
% 8.56/6.48 inference(tautology,[status(thm)],[])).
% 8.56/6.48 tff(23905,plain,
% 8.56/6.48 (~((~v90(constB194, bitIndex2)) <=> v129(constB194, bitIndex2))),
% 8.56/6.48 inference(unit_resolution,[status(thm)],[23904, 23903])).
% 8.56/6.48 tff(23906,plain,
% 8.56/6.48 (((~v90(constB194, bitIndex2)) <=> v129(constB194, bitIndex2)) | v90(constB194, bitIndex2) | (~v129(constB194, bitIndex2))),
% 8.56/6.48 inference(tautology,[status(thm)],[])).
% 8.56/6.48 tff(23907,plain,
% 8.56/6.48 (v90(constB194, bitIndex2)),
% 8.56/6.48 inference(unit_resolution,[status(thm)],[23906, 23905, 23817])).
% 8.56/6.48 tff(23908,plain,
% 8.56/6.48 (((~v90(constB195, bitIndex2)) <=> v90(constB194, bitIndex2)) | v90(constB195, bitIndex2) | (~v90(constB194, bitIndex2))),
% 8.56/6.48 inference(tautology,[status(thm)],[])).
% 8.56/6.48 tff(23909,plain,
% 8.56/6.48 (v90(constB195, bitIndex2)),
% 8.56/6.48 inference(unit_resolution,[status(thm)],[23908, 23907, 15034])).
% 8.56/6.48 tff(23910,plain,
% 8.56/6.48 (((~v88(constB195, bitIndex2)) <=> v90(constB195, bitIndex2)) | v88(constB195, bitIndex2) | (~v90(constB195, bitIndex2))),
% 8.56/6.48 inference(tautology,[status(thm)],[])).
% 8.56/6.48 tff(23911,plain,
% 8.56/6.48 (v88(constB195, bitIndex2)),
% 8.56/6.48 inference(unit_resolution,[status(thm)],[23910, 23909, 15001])).
% 8.56/6.48 tff(23912,plain,
% 8.56/6.48 ((((~v88(constB195, bitIndex1)) <=> v90(constB195, bitIndex1)) | ((~v88(constB195, bitIndex2)) <=> v90(constB195, bitIndex2)) | ((~v88(constB195, bitIndex0)) <=> v90(constB195, bitIndex0))) | (~((~v88(constB195, bitIndex0)) <=> v90(constB195, bitIndex0)))),
% 8.56/6.48 inference(tautology,[status(thm)],[])).
% 8.56/6.48 tff(23913,plain,
% 8.56/6.48 (~((~v88(constB195, bitIndex0)) <=> v90(constB195, bitIndex0))),
% 8.56/6.48 inference(unit_resolution,[status(thm)],[23912, 14999])).
% 8.56/6.48 tff(23914,plain,
% 8.56/6.48 ((((~v90(constB195, bitIndex1)) <=> v90(constB194, bitIndex1)) | ((~v90(constB195, bitIndex2)) <=> v90(constB194, bitIndex2)) | ((~v90(constB195, bitIndex0)) <=> v90(constB194, bitIndex0))) | (~((~v90(constB195, bitIndex0)) <=> v90(constB194, bitIndex0)))),
% 8.56/6.48 inference(tautology,[status(thm)],[])).
% 8.56/6.48 tff(23915,plain,
% 8.56/6.48 (~((~v90(constB195, bitIndex0)) <=> v90(constB194, bitIndex0))),
% 8.56/6.48 inference(unit_resolution,[status(thm)],[23914, 15032])).
% 8.56/6.48 tff(23916,plain,
% 8.56/6.48 ((((~v129(constB194, bitIndex2)) <=> v127(constB193, bitIndex2)) | ((~v129(constB194, bitIndex1)) <=> v127(constB193, bitIndex1)) | ((~v129(constB194, bitIndex0)) <=> v127(constB193, bitIndex0))) | (~((~v129(constB194, bitIndex0)) <=> v127(constB193, bitIndex0)))),
% 8.56/6.48 inference(tautology,[status(thm)],[])).
% 8.56/6.48 tff(23917,plain,
% 8.56/6.48 (~((~v129(constB194, bitIndex0)) <=> v127(constB193, bitIndex0))),
% 8.56/6.48 inference(unit_resolution,[status(thm)],[23916, 15041])).
% 8.56/6.48 tff(23918,plain,
% 8.56/6.48 ((((~v127(constB193, bitIndex2)) <=> v130(constB193, bitIndex2)) | ((~v127(constB193, bitIndex1)) <=> v130(constB193, bitIndex1)) | ((~v127(constB193, bitIndex0)) <=> v130(constB193, bitIndex0))) | (~((~v127(constB193, bitIndex0)) <=> v130(constB193, bitIndex0)))),
% 8.56/6.48 inference(tautology,[status(thm)],[])).
% 8.56/6.48 tff(23919,plain,
% 8.56/6.48 (~((~v127(constB193, bitIndex0)) <=> v130(constB193, bitIndex0))),
% 8.56/6.48 inference(unit_resolution,[status(thm)],[23918, 15055])).
% 8.56/6.48 tff(23920,plain,
% 8.56/6.48 ((v130(constB193, bitIndex0) | (~v130(constB193, bitIndex2)) | (~v130(constB193, bitIndex1))) | (~v130(constB193, bitIndex0))),
% 8.56/6.48 inference(tautology,[status(thm)],[])).
% 8.56/6.48 tff(23921,plain,
% 8.56/6.48 (~v130(constB193, bitIndex0)),
% 8.56/6.48 inference(unit_resolution,[status(thm)],[23920, 23811])).
% 8.56/6.48 tff(23922,plain,
% 8.56/6.48 (((~v127(constB193, bitIndex0)) <=> v130(constB193, bitIndex0)) | (~v127(constB193, bitIndex0)) | v130(constB193, bitIndex0)),
% 8.56/6.48 inference(tautology,[status(thm)],[])).
% 8.56/6.48 tff(23923,plain,
% 8.56/6.48 (~v127(constB193, bitIndex0)),
% 8.56/6.48 inference(unit_resolution,[status(thm)],[23922, 23921, 23919])).
% 8.56/6.48 tff(23924,plain,
% 8.56/6.48 (((~v129(constB194, bitIndex0)) <=> v127(constB193, bitIndex0)) | (~v129(constB194, bitIndex0)) | v127(constB193, bitIndex0)),
% 8.56/6.48 inference(tautology,[status(thm)],[])).
% 8.56/6.48 tff(23925,plain,
% 8.56/6.48 (~v129(constB194, bitIndex0)),
% 8.56/6.48 inference(unit_resolution,[status(thm)],[23924, 23923, 23917])).
% 8.56/6.48 tff(23926,plain,
% 8.56/6.48 ((((~v90(constB194, bitIndex0)) <=> v129(constB194, bitIndex0)) | ((~v90(constB194, bitIndex2)) <=> v129(constB194, bitIndex2)) | ((~v90(constB194, bitIndex1)) <=> v129(constB194, bitIndex1))) | (~((~v90(constB194, bitIndex0)) <=> v129(constB194, bitIndex0)))),
% 8.56/6.48 inference(tautology,[status(thm)],[])).
% 8.56/6.48 tff(23927,plain,
% 8.56/6.48 (~((~v90(constB194, bitIndex0)) <=> v129(constB194, bitIndex0))),
% 8.56/6.48 inference(unit_resolution,[status(thm)],[23926, 23903])).
% 8.56/6.48 tff(23928,plain,
% 8.56/6.48 (((~v90(constB194, bitIndex0)) <=> v129(constB194, bitIndex0)) | (~v90(constB194, bitIndex0)) | v129(constB194, bitIndex0)),
% 8.56/6.48 inference(tautology,[status(thm)],[])).
% 8.56/6.48 tff(23929,plain,
% 8.56/6.48 (~v90(constB194, bitIndex0)),
% 8.56/6.48 inference(unit_resolution,[status(thm)],[23928, 23927, 23925])).
% 8.56/6.48 tff(23930,plain,
% 8.56/6.48 (((~v90(constB195, bitIndex0)) <=> v90(constB194, bitIndex0)) | (~v90(constB195, bitIndex0)) | v90(constB194, bitIndex0)),
% 8.56/6.48 inference(tautology,[status(thm)],[])).
% 8.56/6.48 tff(23931,plain,
% 8.56/6.48 (~v90(constB195, bitIndex0)),
% 8.56/6.48 inference(unit_resolution,[status(thm)],[23930, 23929, 23915])).
% 8.56/6.48 tff(23932,plain,
% 8.56/6.48 (((~v88(constB195, bitIndex0)) <=> v90(constB195, bitIndex0)) | (~v88(constB195, bitIndex0)) | v90(constB195, bitIndex0)),
% 8.56/6.48 inference(tautology,[status(thm)],[])).
% 8.56/6.48 tff(23933,plain,
% 8.56/6.48 (~v88(constB195, bitIndex0)),
% 8.56/6.48 inference(unit_resolution,[status(thm)],[23932, 23931, 23913])).
% 8.56/6.48 tff(23934,plain,
% 8.56/6.48 ((((~v88(constB195, bitIndex1)) <=> v90(constB195, bitIndex1)) | ((~v88(constB195, bitIndex2)) <=> v90(constB195, bitIndex2)) | ((~v88(constB195, bitIndex0)) <=> v90(constB195, bitIndex0))) | (~((~v88(constB195, bitIndex1)) <=> v90(constB195, bitIndex1)))),
% 8.56/6.48 inference(tautology,[status(thm)],[])).
% 8.56/6.48 tff(23935,plain,
% 8.56/6.48 (~((~v88(constB195, bitIndex1)) <=> v90(constB195, bitIndex1))),
% 8.56/6.48 inference(unit_resolution,[status(thm)],[23934, 14999])).
% 8.56/6.48 tff(23936,plain,
% 8.56/6.48 ((((~v90(constB195, bitIndex1)) <=> v90(constB194, bitIndex1)) | ((~v90(constB195, bitIndex2)) <=> v90(constB194, bitIndex2)) | ((~v90(constB195, bitIndex0)) <=> v90(constB194, bitIndex0))) | (~((~v90(constB195, bitIndex1)) <=> v90(constB194, bitIndex1)))),
% 8.56/6.48 inference(tautology,[status(thm)],[])).
% 8.56/6.48 tff(23937,plain,
% 8.56/6.48 (~((~v90(constB195, bitIndex1)) <=> v90(constB194, bitIndex1))),
% 8.56/6.48 inference(unit_resolution,[status(thm)],[23936, 15032])).
% 8.56/6.48 tff(23938,plain,
% 8.56/6.48 ((((~v129(constB194, bitIndex2)) <=> v127(constB193, bitIndex2)) | ((~v129(constB194, bitIndex1)) <=> v127(constB193, bitIndex1)) | ((~v129(constB194, bitIndex0)) <=> v127(constB193, bitIndex0))) | (~((~v129(constB194, bitIndex1)) <=> v127(constB193, bitIndex1)))),
% 8.56/6.48 inference(tautology,[status(thm)],[])).
% 8.56/6.48 tff(23939,plain,
% 8.56/6.48 (~((~v129(constB194, bitIndex1)) <=> v127(constB193, bitIndex1))),
% 8.56/6.48 inference(unit_resolution,[status(thm)],[23938, 15041])).
% 8.56/6.48 tff(23940,plain,
% 8.56/6.48 ((((~v127(constB193, bitIndex2)) <=> v130(constB193, bitIndex2)) | ((~v127(constB193, bitIndex1)) <=> v130(constB193, bitIndex1)) | ((~v127(constB193, bitIndex0)) <=> v130(constB193, bitIndex0))) | (~((~v127(constB193, bitIndex1)) <=> v130(constB193, bitIndex1)))),
% 8.56/6.48 inference(tautology,[status(thm)],[])).
% 8.56/6.48 tff(23941,plain,
% 8.56/6.48 (~((~v127(constB193, bitIndex1)) <=> v130(constB193, bitIndex1))),
% 8.56/6.48 inference(unit_resolution,[status(thm)],[23940, 15055])).
% 8.56/6.48 tff(23942,plain,
% 8.56/6.48 ((v130(constB193, bitIndex0) | (~v130(constB193, bitIndex2)) | (~v130(constB193, bitIndex1))) | v130(constB193, bitIndex1)),
% 8.56/6.48 inference(tautology,[status(thm)],[])).
% 8.56/6.48 tff(23943,plain,
% 8.56/6.48 (v130(constB193, bitIndex1)),
% 8.56/6.48 inference(unit_resolution,[status(thm)],[23942, 23811])).
% 8.56/6.48 tff(23944,plain,
% 8.56/6.48 (((~v127(constB193, bitIndex1)) <=> v130(constB193, bitIndex1)) | v127(constB193, bitIndex1) | (~v130(constB193, bitIndex1))),
% 8.56/6.48 inference(tautology,[status(thm)],[])).
% 8.56/6.48 tff(23945,plain,
% 8.56/6.48 (v127(constB193, bitIndex1)),
% 8.56/6.48 inference(unit_resolution,[status(thm)],[23944, 23943, 23941])).
% 8.56/6.48 tff(23946,plain,
% 8.56/6.48 (((~v129(constB194, bitIndex1)) <=> v127(constB193, bitIndex1)) | v129(constB194, bitIndex1) | (~v127(constB193, bitIndex1))),
% 8.56/6.48 inference(tautology,[status(thm)],[])).
% 8.56/6.48 tff(23947,plain,
% 8.56/6.48 (v129(constB194, bitIndex1)),
% 8.56/6.48 inference(unit_resolution,[status(thm)],[23946, 23945, 23939])).
% 8.56/6.48 tff(23948,plain,
% 8.56/6.48 ((((~v90(constB194, bitIndex0)) <=> v129(constB194, bitIndex0)) | ((~v90(constB194, bitIndex2)) <=> v129(constB194, bitIndex2)) | ((~v90(constB194, bitIndex1)) <=> v129(constB194, bitIndex1))) | (~((~v90(constB194, bitIndex1)) <=> v129(constB194, bitIndex1)))),
% 8.56/6.48 inference(tautology,[status(thm)],[])).
% 8.56/6.48 tff(23949,plain,
% 8.56/6.48 (~((~v90(constB194, bitIndex1)) <=> v129(constB194, bitIndex1))),
% 8.56/6.48 inference(unit_resolution,[status(thm)],[23948, 23903])).
% 8.56/6.48 tff(23950,plain,
% 8.56/6.48 (((~v90(constB194, bitIndex1)) <=> v129(constB194, bitIndex1)) | v90(constB194, bitIndex1) | (~v129(constB194, bitIndex1))),
% 8.56/6.48 inference(tautology,[status(thm)],[])).
% 8.56/6.48 tff(23951,plain,
% 8.56/6.48 (v90(constB194, bitIndex1)),
% 8.56/6.48 inference(unit_resolution,[status(thm)],[23950, 23949, 23947])).
% 8.56/6.48 tff(23952,plain,
% 8.56/6.48 (((~v90(constB195, bitIndex1)) <=> v90(constB194, bitIndex1)) | v90(constB195, bitIndex1) | (~v90(constB194, bitIndex1))),
% 8.56/6.48 inference(tautology,[status(thm)],[])).
% 8.56/6.48 tff(23953,plain,
% 8.56/6.48 (v90(constB195, bitIndex1)),
% 8.56/6.48 inference(unit_resolution,[status(thm)],[23952, 23951, 23937])).
% 8.56/6.48 tff(23954,plain,
% 8.56/6.48 (((~v88(constB195, bitIndex1)) <=> v90(constB195, bitIndex1)) | v88(constB195, bitIndex1) | (~v90(constB195, bitIndex1))),
% 8.56/6.48 inference(tautology,[status(thm)],[])).
% 8.56/6.48 tff(23955,plain,
% 8.56/6.48 (v88(constB195, bitIndex1)),
% 8.56/6.48 inference(unit_resolution,[status(thm)],[23954, 23953, 23935])).
% 8.56/6.48 tff(23956,plain,
% 8.56/6.48 ((~((~v88(constB195, bitIndex1)) | (~v88(constB195, bitIndex2)) | v88(constB195, bitIndex0))) | (~v88(constB195, bitIndex1)) | (~v88(constB195, bitIndex2)) | v88(constB195, bitIndex0)),
% 8.56/6.48 inference(tautology,[status(thm)],[])).
% 8.56/6.48 tff(23957,plain,
% 8.56/6.48 (~((~v88(constB195, bitIndex1)) | (~v88(constB195, bitIndex2)) | v88(constB195, bitIndex0))),
% 8.56/6.48 inference(unit_resolution,[status(thm)],[23956, 23955, 23933, 23911])).
% 8.56/6.48 tff(23958,plain,
% 8.56/6.48 ((~(v144(constB195) <=> (~((~v88(constB195, bitIndex1)) | (~v88(constB195, bitIndex2)) | v88(constB195, bitIndex0))))) | v144(constB195) | ((~v88(constB195, bitIndex1)) | (~v88(constB195, bitIndex2)) | v88(constB195, bitIndex0))),
% 8.56/6.48 inference(tautology,[status(thm)],[])).
% 8.56/6.48 tff(23959,plain,
% 8.56/6.48 (v144(constB195)),
% 8.56/6.48 inference(unit_resolution,[status(thm)],[23958, 23957, 14997])).
% 8.56/6.48 tff(23960,plain,
% 8.56/6.48 ((v143(constB195) | v144(constB195)) | (~v144(constB195))),
% 8.56/6.48 inference(tautology,[status(thm)],[])).
% 8.56/6.48 tff(23961,plain,
% 8.56/6.48 (v143(constB195) | v144(constB195)),
% 8.56/6.48 inference(unit_resolution,[status(thm)],[23960, 23959])).
% 8.56/6.48 tff(23962,plain,
% 8.56/6.48 ((~(v142(constB195) <=> (v143(constB195) | v144(constB195)))) | v142(constB195) | (~(v143(constB195) | v144(constB195)))),
% 8.56/6.48 inference(tautology,[status(thm)],[])).
% 8.56/6.48 tff(23963,plain,
% 8.56/6.48 (v142(constB195)),
% 8.56/6.48 inference(unit_resolution,[status(thm)],[23962, 23961, 14990])).
% 8.56/6.48 tff(23964,plain,
% 8.56/6.48 ((v142(constB195) | v168(constB195)) | (~v142(constB195))),
% 8.56/6.48 inference(tautology,[status(thm)],[])).
% 8.56/6.48 tff(23965,plain,
% 8.56/6.48 (v142(constB195) | v168(constB195)),
% 8.56/6.48 inference(unit_resolution,[status(thm)],[23964, 23963])).
% 8.56/6.48 tff(23966,plain,
% 8.56/6.48 ((~(v167(constB195) <=> (v142(constB195) | v168(constB195)))) | v167(constB195) | (~(v142(constB195) | v168(constB195)))),
% 8.56/6.48 inference(tautology,[status(thm)],[])).
% 8.56/6.48 tff(23967,plain,
% 8.56/6.48 ((~(v167(constB195) <=> (v142(constB195) | v168(constB195)))) | v167(constB195)),
% 8.56/6.48 inference(unit_resolution,[status(thm)],[23966, 23965])).
% 8.56/6.48 tff(23968,plain,
% 8.56/6.48 (v167(constB195)),
% 8.56/6.48 inference(unit_resolution,[status(thm)],[23967, 14988])).
% 8.56/6.48 tff(23969,plain,
% 8.56/6.48 ((v145(constB195) | v167(constB195)) | (~v167(constB195))),
% 8.56/6.48 inference(tautology,[status(thm)],[])).
% 8.56/6.48 tff(23970,plain,
% 8.56/6.48 (v145(constB195) | v167(constB195)),
% 8.56/6.48 inference(unit_resolution,[status(thm)],[23969, 23968])).
% 8.56/6.48 tff(23971,plain,
% 8.56/6.48 ((~(v166(constB195) <=> (v145(constB195) | v167(constB195)))) | v166(constB195) | (~(v145(constB195) | v167(constB195)))),
% 8.56/6.48 inference(tautology,[status(thm)],[])).
% 8.56/6.48 tff(23972,plain,
% 8.56/6.48 (v166(constB195)),
% 8.56/6.48 inference(unit_resolution,[status(thm)],[23971, 23970, 14986])).
% 8.56/6.48 tff(23973,plain,
% 8.56/6.48 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB195)) | (v163(constB195) <=> v170(constB195)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB195)) | (v163(constB195) <=> v170(constB195)))),
% 8.56/6.48 inference(rewrite,[status(thm)],[])).
% 8.56/6.48 tff(23974,plain,
% 8.56/6.48 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB195)) | (v163(constB195) <=> v170(constB195)))),
% 8.56/6.48 inference(quant_inst,[status(thm)],[])).
% 8.56/6.48 tff(23975,plain,
% 8.56/6.48 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB195)) | (v163(constB195) <=> v170(constB195))),
% 8.56/6.48 inference(modus_ponens,[status(thm)],[23974, 23973])).
% 8.56/6.48 tff(23976,plain,
% 8.56/6.48 ((~v166(constB195)) | (v163(constB195) <=> v170(constB195))),
% 8.56/6.48 inference(unit_resolution,[status(thm)],[23975, 9851])).
% 8.56/6.48 tff(23977,plain,
% 8.56/6.48 (v163(constB195) <=> v170(constB195)),
% 8.56/6.48 inference(unit_resolution,[status(thm)],[23976, 23972])).
% 8.56/6.48 tff(23978,plain,
% 8.56/6.48 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB195) <=> (v142(constB195) | v150(constB195)))),
% 8.56/6.48 inference(quant_inst,[status(thm)],[])).
% 8.56/6.48 tff(23979,plain,
% 8.56/6.48 (v171(constB195) <=> (v142(constB195) | v150(constB195))),
% 8.56/6.48 inference(unit_resolution,[status(thm)],[23978, 9866])).
% 8.56/6.48 tff(23980,plain,
% 8.56/6.48 ((v142(constB195) | v150(constB195)) | (~v142(constB195))),
% 8.56/6.48 inference(tautology,[status(thm)],[])).
% 8.56/6.48 tff(23981,plain,
% 8.56/6.48 (v142(constB195) | v150(constB195)),
% 8.56/6.48 inference(unit_resolution,[status(thm)],[23980, 23963])).
% 8.56/6.48 tff(23982,plain,
% 8.56/6.48 ((~(v171(constB195) <=> (v142(constB195) | v150(constB195)))) | v171(constB195) | (~(v142(constB195) | v150(constB195)))),
% 8.56/6.48 inference(tautology,[status(thm)],[])).
% 8.56/6.48 tff(23983,plain,
% 8.56/6.48 ((~(v171(constB195) <=> (v142(constB195) | v150(constB195)))) | v171(constB195)),
% 8.56/6.48 inference(unit_resolution,[status(thm)],[23982, 23981])).
% 8.56/6.48 tff(23984,plain,
% 8.56/6.48 (v171(constB195)),
% 8.56/6.48 inference(unit_resolution,[status(thm)],[23983, 23979])).
% 8.56/6.48 tff(23985,plain,
% 8.56/6.48 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB195)) | (~v171(constB195)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB195)) | (~v171(constB195)))),
% 8.56/6.48 inference(rewrite,[status(thm)],[])).
% 8.56/6.48 tff(23986,plain,
% 8.56/6.48 (((~v171(constB195)) | (~v170(constB195))) <=> ((~v170(constB195)) | (~v171(constB195)))),
% 8.56/6.48 inference(rewrite,[status(thm)],[])).
% 8.56/6.48 tff(23987,plain,
% 8.56/6.48 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB195)) | (~v170(constB195)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB195)) | (~v171(constB195))))),
% 8.56/6.48 inference(monotonicity,[status(thm)],[23986])).
% 8.56/6.48 tff(23988,plain,
% 8.56/6.48 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB195)) | (~v170(constB195)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB195)) | (~v171(constB195)))),
% 8.56/6.48 inference(transitivity,[status(thm)],[23987, 23985])).
% 8.56/6.48 tff(23989,plain,
% 8.56/6.48 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB195)) | (~v170(constB195)))),
% 8.56/6.48 inference(quant_inst,[status(thm)],[])).
% 8.56/6.48 tff(23990,plain,
% 8.56/6.48 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB195)) | (~v171(constB195))),
% 8.56/6.48 inference(modus_ponens,[status(thm)],[23989, 23988])).
% 8.56/6.48 tff(23991,plain,
% 8.56/6.48 (~v170(constB195)),
% 8.56/6.48 inference(unit_resolution,[status(thm)],[23990, 9899, 23984])).
% 8.56/6.48 tff(23992,plain,
% 8.56/6.48 ((~(v163(constB195) <=> v170(constB195))) | (~v163(constB195)) | v170(constB195)),
% 8.56/6.48 inference(tautology,[status(thm)],[])).
% 8.56/6.48 tff(23993,plain,
% 8.56/6.48 (~v163(constB195)),
% 8.56/6.48 inference(unit_resolution,[status(thm)],[23992, 23991, 23977])).
% 8.56/6.48 tff(23994,plain,
% 8.56/6.48 ((~(v161(constB195) <=> v163(constB195))) | (~v161(constB195)) | v163(constB195)),
% 8.56/6.48 inference(tautology,[status(thm)],[])).
% 8.56/6.48 tff(23995,plain,
% 8.56/6.48 (~v161(constB195)),
% 8.56/6.48 inference(unit_resolution,[status(thm)],[23994, 23993, 14984])).
% 8.56/6.48 tff(23996,plain,
% 8.56/6.48 (((~v159(constB195)) | (~v161(constB195))) | v161(constB195)),
% 8.56/6.48 inference(tautology,[status(thm)],[])).
% 8.56/6.48 tff(23997,plain,
% 8.56/6.48 ((~v159(constB195)) | (~v161(constB195))),
% 8.56/6.48 inference(unit_resolution,[status(thm)],[23996, 23995])).
% 8.56/6.48 tff(23998,plain,
% 8.56/6.48 ((~(v201(constB195) <=> (~((~v159(constB195)) | (~v161(constB195)))))) | (~v201(constB195)) | (~((~v159(constB195)) | (~v161(constB195))))),
% 8.56/6.48 inference(tautology,[status(thm)],[])).
% 8.56/6.48 tff(23999,plain,
% 8.56/6.48 (~v201(constB195)),
% 8.56/6.48 inference(unit_resolution,[status(thm)],[23998, 23997, 14982])).
% 8.56/6.48 tff(24000,plain,
% 8.56/6.48 (((~v197(constB195)) | (~v201(constB195))) | v201(constB195)),
% 8.56/6.48 inference(tautology,[status(thm)],[])).
% 8.56/6.48 tff(24001,plain,
% 8.56/6.48 ((~v197(constB195)) | (~v201(constB195))),
% 8.56/6.48 inference(unit_resolution,[status(thm)],[24000, 23999])).
% 8.56/6.48 tff(24002,plain,
% 8.56/6.48 ((~(v200(constB195) <=> (~((~v197(constB195)) | (~v201(constB195)))))) | (~v200(constB195)) | (~((~v197(constB195)) | (~v201(constB195))))),
% 8.56/6.48 inference(tautology,[status(thm)],[])).
% 8.56/6.48 tff(24003,plain,
% 8.56/6.48 (~v200(constB195)),
% 8.56/6.48 inference(unit_resolution,[status(thm)],[24002, 24001, 14980])).
% 8.56/6.48 tff(24004,plain,
% 8.56/6.48 (((~v199(constB195)) | (~v200(constB195))) | v200(constB195)),
% 8.56/6.48 inference(tautology,[status(thm)],[])).
% 8.56/6.48 tff(24005,plain,
% 8.56/6.48 ((~v199(constB195)) | (~v200(constB195))),
% 8.56/6.48 inference(unit_resolution,[status(thm)],[24004, 24003])).
% 8.56/6.48 tff(24006,plain,
% 8.56/6.48 ((~(v198(constB195) <=> (~((~v199(constB195)) | (~v200(constB195)))))) | (~v198(constB195)) | (~((~v199(constB195)) | (~v200(constB195))))),
% 8.56/6.48 inference(tautology,[status(thm)],[])).
% 8.56/6.48 tff(24007,plain,
% 8.56/6.48 (~v198(constB195)),
% 8.56/6.48 inference(unit_resolution,[status(thm)],[24006, 24005, 14978])).
% 8.56/6.48 tff(24008,plain,
% 8.56/6.48 ((~(v194(constB195) | v198(constB195))) | v194(constB195) | v198(constB195)),
% 8.56/6.48 inference(tautology,[status(thm)],[])).
% 8.56/6.48 tff(24009,plain,
% 8.56/6.48 (~(v194(constB195) | v198(constB195))),
% 8.56/6.48 inference(unit_resolution,[status(thm)],[24008, 24007, 14976])).
% 8.56/6.48 tff(24010,plain,
% 8.56/6.48 ((~(v191(constB195) <=> (v194(constB195) | v198(constB195)))) | (~v191(constB195)) | (v194(constB195) | v198(constB195))),
% 8.56/6.48 inference(tautology,[status(thm)],[])).
% 8.56/6.48 tff(24011,plain,
% 8.56/6.48 (~v191(constB195)),
% 8.56/6.48 inference(unit_resolution,[status(thm)],[24010, 24009, 14900])).
% 8.56/6.48 tff(24012,plain,
% 8.56/6.48 ((~(v193(constB196) <=> v191(constB195))) | (~v193(constB196)) | v191(constB195)),
% 8.56/6.48 inference(tautology,[status(thm)],[])).
% 8.56/6.48 tff(24013,plain,
% 8.56/6.48 (~v193(constB196)),
% 8.56/6.48 inference(unit_resolution,[status(thm)],[24012, 24011, 14898])).
% 8.56/6.48 tff(24014,plain,
% 8.56/6.48 ((~(v157(constB196) <=> v193(constB196))) | (~v157(constB196)) | v193(constB196)),
% 8.56/6.48 inference(tautology,[status(thm)],[])).
% 8.56/6.48 tff(24015,plain,
% 8.56/6.48 (~v157(constB196)),
% 8.56/6.48 inference(unit_resolution,[status(thm)],[24014, 24013, 14891])).
% 8.56/6.48 tff(24016,plain,
% 8.56/6.48 (((~v157(constB196)) | (~v195(constB196))) | v157(constB196)),
% 8.56/6.48 inference(tautology,[status(thm)],[])).
% 8.56/6.48 tff(24017,plain,
% 8.56/6.48 ((~v157(constB196)) | (~v195(constB196))),
% 8.56/6.48 inference(unit_resolution,[status(thm)],[24016, 24015])).
% 8.56/6.48 tff(24018,plain,
% 8.56/6.48 ((~(v194(constB196) <=> (~((~v157(constB196)) | (~v195(constB196)))))) | (~v194(constB196)) | (~((~v157(constB196)) | (~v195(constB196))))),
% 8.56/6.48 inference(tautology,[status(thm)],[])).
% 8.56/6.48 tff(24019,plain,
% 8.56/6.48 (~v194(constB196)),
% 8.56/6.48 inference(unit_resolution,[status(thm)],[24018, 24017, 14889])).
% 8.56/6.48 tff(24020,plain,
% 8.56/6.48 ((~(v194(constB196) | v198(constB196))) | v194(constB196) | v198(constB196)),
% 8.56/6.48 inference(tautology,[status(thm)],[])).
% 8.56/6.48 tff(24021,plain,
% 8.56/6.48 (~(v194(constB196) | v198(constB196))),
% 8.56/6.48 inference(unit_resolution,[status(thm)],[24020, 24019, 14882])).
% 8.56/6.48 tff(24022,plain,
% 8.56/6.48 ((~(v191(constB196) <=> (v194(constB196) | v198(constB196)))) | (~v191(constB196)) | (v194(constB196) | v198(constB196))),
% 8.56/6.48 inference(tautology,[status(thm)],[])).
% 8.56/6.48 tff(24023,plain,
% 8.56/6.48 (~v191(constB196)),
% 8.56/6.48 inference(unit_resolution,[status(thm)],[24022, 24021, 14854])).
% 8.56/6.48 tff(24024,plain,
% 8.56/6.48 ((~(v193(constB197) <=> v191(constB196))) | (~v193(constB197)) | v191(constB196)),
% 8.56/6.48 inference(tautology,[status(thm)],[])).
% 8.56/6.48 tff(24025,plain,
% 8.56/6.48 (~v193(constB197)),
% 8.56/6.48 inference(unit_resolution,[status(thm)],[24024, 24023, 14852])).
% 8.56/6.48 tff(24026,plain,
% 8.56/6.48 ($false),
% 8.56/6.48 inference(unit_resolution,[status(thm)],[24025, 14845])).
% 8.56/6.48 tff(24027,plain,(~(constB197 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.56/6.48 tff(24028,assumption,(constB3 = VarCurr!0), introduced(assumption)).
% 8.56/6.48 tff(24029,plain,
% 8.56/6.48 (v193(constB3) <=> v193(VarCurr!0)),
% 8.56/6.48 inference(monotonicity,[status(thm)],[24028])).
% 8.56/6.48 tff(24030,plain,
% 8.56/6.48 (v193(VarCurr!0) <=> v193(constB3)),
% 8.56/6.48 inference(symmetry,[status(thm)],[24029])).
% 8.56/6.48 tff(24031,plain,
% 8.56/6.48 (v193(constB3)),
% 8.56/6.48 inference(modus_ponens,[status(thm)],[59, 24030])).
% 8.56/6.48 tff(24032,plain,
% 8.56/6.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB2, constB3)) | (v193(constB3) <=> v191(constB2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB2, constB3)) | (v193(constB3) <=> v191(constB2)))),
% 8.56/6.48 inference(rewrite,[status(thm)],[])).
% 8.56/6.48 tff(24033,plain,
% 8.56/6.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB2, constB3)) | (v193(constB3) <=> v191(constB2)))),
% 8.56/6.48 inference(quant_inst,[status(thm)],[])).
% 8.56/6.48 tff(24034,plain,
% 8.56/6.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB2, constB3)) | (v193(constB3) <=> v191(constB2))),
% 8.56/6.48 inference(modus_ponens,[status(thm)],[24033, 24032])).
% 8.56/6.48 tff(24035,plain,
% 8.56/6.48 (v193(constB3) <=> v191(constB2)),
% 8.56/6.48 inference(unit_resolution,[status(thm)],[24034, 3076, 70])).
% 8.56/6.48 tff(24036,plain,
% 8.56/6.48 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB2) <=> (v194(constB2) | v198(constB2)))),
% 8.56/6.48 inference(quant_inst,[status(thm)],[])).
% 8.56/6.48 tff(24037,plain,
% 8.56/6.48 (v191(constB2) <=> (v194(constB2) | v198(constB2))),
% 8.56/6.48 inference(unit_resolution,[status(thm)],[24036, 84])).
% 8.56/6.48 tff(24038,plain,
% 8.56/6.48 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB2) <=> (~((~v199(constB2)) | (~v200(constB2)))))),
% 8.56/6.48 inference(quant_inst,[status(thm)],[])).
% 8.56/6.48 tff(24039,plain,
% 8.56/6.48 (v198(constB2) <=> (~((~v199(constB2)) | (~v200(constB2))))),
% 8.56/6.48 inference(unit_resolution,[status(thm)],[24038, 96])).
% 8.56/6.48 tff(24040,plain,
% 8.56/6.48 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB2) <=> (~((~v197(constB2)) | (~v201(constB2)))))),
% 8.56/6.48 inference(quant_inst,[status(thm)],[])).
% 8.56/6.48 tff(24041,plain,
% 8.56/6.48 (v200(constB2) <=> (~((~v197(constB2)) | (~v201(constB2))))),
% 8.56/6.48 inference(unit_resolution,[status(thm)],[24040, 108])).
% 8.56/6.48 tff(24042,plain,
% 8.56/6.48 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB2) <=> (~((~v39(constB2)) | (~v9(constB2)))))),
% 8.56/6.48 inference(quant_inst,[status(thm)],[])).
% 8.56/6.48 tff(24043,plain,
% 8.56/6.48 (v197(constB2) <=> (~((~v39(constB2)) | (~v9(constB2))))),
% 8.56/6.48 inference(unit_resolution,[status(thm)],[24042, 120])).
% 8.56/6.48 tff(24044,plain,
% 8.56/6.48 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB2)) <=> v1(constB2))),
% 8.56/6.48 inference(quant_inst,[status(thm)],[])).
% 8.56/6.48 tff(24045,plain,
% 8.56/6.48 ((~v39(constB2)) <=> v1(constB2)),
% 8.56/6.48 inference(unit_resolution,[status(thm)],[24044, 129])).
% 8.56/6.48 tff(24046,plain,
% 8.56/6.48 ((~((~v39(constB2)) <=> v1(constB2))) | (~v39(constB2)) | (~v1(constB2))),
% 8.56/6.48 inference(tautology,[status(thm)],[])).
% 8.56/6.48 tff(24047,plain,
% 8.56/6.48 ((~((~v39(constB2)) <=> v1(constB2))) | (~v39(constB2))),
% 8.56/6.48 inference(unit_resolution,[status(thm)],[24046, 3270])).
% 8.56/6.48 tff(24048,plain,
% 8.56/6.48 (~v39(constB2)),
% 8.56/6.48 inference(unit_resolution,[status(thm)],[24047, 24045])).
% 8.56/6.48 tff(24049,plain,
% 8.56/6.48 (((~v39(constB2)) | (~v9(constB2))) | v39(constB2)),
% 8.56/6.48 inference(tautology,[status(thm)],[])).
% 8.56/6.48 tff(24050,plain,
% 8.56/6.48 ((~v39(constB2)) | (~v9(constB2))),
% 8.56/6.48 inference(unit_resolution,[status(thm)],[24049, 24048])).
% 8.56/6.48 tff(24051,plain,
% 8.56/6.48 ((~(v197(constB2) <=> (~((~v39(constB2)) | (~v9(constB2)))))) | (~v197(constB2)) | (~((~v39(constB2)) | (~v9(constB2))))),
% 8.56/6.48 inference(tautology,[status(thm)],[])).
% 8.56/6.48 tff(24052,plain,
% 8.56/6.48 ((~(v197(constB2) <=> (~((~v39(constB2)) | (~v9(constB2)))))) | (~v197(constB2))),
% 8.56/6.48 inference(unit_resolution,[status(thm)],[24051, 24050])).
% 8.56/6.48 tff(24053,plain,
% 8.56/6.48 (~v197(constB2)),
% 8.56/6.48 inference(unit_resolution,[status(thm)],[24052, 24043])).
% 8.56/6.48 tff(24054,plain,
% 8.56/6.48 (((~v197(constB2)) | (~v201(constB2))) | v197(constB2)),
% 8.56/6.48 inference(tautology,[status(thm)],[])).
% 8.56/6.48 tff(24055,plain,
% 8.56/6.48 ((~v197(constB2)) | (~v201(constB2))),
% 8.56/6.48 inference(unit_resolution,[status(thm)],[24054, 24053])).
% 8.56/6.48 tff(24056,plain,
% 8.56/6.48 ((~(v200(constB2) <=> (~((~v197(constB2)) | (~v201(constB2)))))) | (~v200(constB2)) | (~((~v197(constB2)) | (~v201(constB2))))),
% 8.56/6.48 inference(tautology,[status(thm)],[])).
% 8.56/6.48 tff(24057,plain,
% 8.56/6.48 ((~(v200(constB2) <=> (~((~v197(constB2)) | (~v201(constB2)))))) | (~v200(constB2))),
% 8.56/6.48 inference(unit_resolution,[status(thm)],[24056, 24055])).
% 8.56/6.48 tff(24058,plain,
% 8.56/6.48 (~v200(constB2)),
% 8.56/6.48 inference(unit_resolution,[status(thm)],[24057, 24041])).
% 8.56/6.48 tff(24059,plain,
% 8.56/6.48 (((~v199(constB2)) | (~v200(constB2))) | v200(constB2)),
% 8.56/6.48 inference(tautology,[status(thm)],[])).
% 8.56/6.48 tff(24060,plain,
% 8.56/6.48 ((~v199(constB2)) | (~v200(constB2))),
% 8.56/6.48 inference(unit_resolution,[status(thm)],[24059, 24058])).
% 8.56/6.48 tff(24061,plain,
% 8.56/6.48 ((~(v198(constB2) <=> (~((~v199(constB2)) | (~v200(constB2)))))) | (~v198(constB2)) | (~((~v199(constB2)) | (~v200(constB2))))),
% 8.56/6.48 inference(tautology,[status(thm)],[])).
% 8.56/6.48 tff(24062,plain,
% 8.56/6.48 (~v198(constB2)),
% 8.56/6.48 inference(unit_resolution,[status(thm)],[24061, 24060, 24039])).
% 8.56/6.48 tff(24063,plain,
% 8.56/6.48 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB2) <=> (~((~v157(constB2)) | (~v195(constB2)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB2) <=> (~((~v157(constB2)) | (~v195(constB2))))))),
% 8.56/6.48 inference(rewrite,[status(thm)],[])).
% 8.56/6.48 tff(24064,plain,
% 8.56/6.48 ((v194(constB2) <=> (~((~v195(constB2)) | (~v157(constB2))))) <=> (v194(constB2) <=> (~((~v157(constB2)) | (~v195(constB2)))))),
% 8.56/6.48 inference(rewrite,[status(thm)],[])).
% 8.56/6.48 tff(24065,plain,
% 8.56/6.48 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB2) <=> (~((~v195(constB2)) | (~v157(constB2)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB2) <=> (~((~v157(constB2)) | (~v195(constB2))))))),
% 8.56/6.48 inference(monotonicity,[status(thm)],[24064])).
% 8.56/6.48 tff(24066,plain,
% 8.56/6.48 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB2) <=> (~((~v195(constB2)) | (~v157(constB2)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB2) <=> (~((~v157(constB2)) | (~v195(constB2))))))),
% 8.56/6.48 inference(transitivity,[status(thm)],[24065, 24063])).
% 8.56/6.48 tff(24067,plain,
% 8.56/6.48 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB2) <=> (~((~v195(constB2)) | (~v157(constB2)))))),
% 8.56/6.48 inference(quant_inst,[status(thm)],[])).
% 8.56/6.48 tff(24068,plain,
% 8.56/6.48 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB2) <=> (~((~v157(constB2)) | (~v195(constB2)))))),
% 8.56/6.48 inference(modus_ponens,[status(thm)],[24067, 24066])).
% 8.56/6.48 tff(24069,plain,
% 8.56/6.48 (v194(constB2) <=> (~((~v157(constB2)) | (~v195(constB2))))),
% 8.56/6.48 inference(unit_resolution,[status(thm)],[24068, 161])).
% 8.56/6.48 tff(24070,plain,
% 8.56/6.48 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB2) <=> v193(constB2))),
% 8.56/6.48 inference(quant_inst,[status(thm)],[])).
% 8.56/6.48 tff(24071,plain,
% 8.56/6.48 (v157(constB2) <=> v193(constB2)),
% 8.56/6.48 inference(unit_resolution,[status(thm)],[24070, 13])).
% 8.56/6.48 tff(24072,plain,
% 8.56/6.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB1, constB2)) | (v193(constB2) <=> v191(constB1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB1, constB2)) | (v193(constB2) <=> v191(constB1)))),
% 8.56/6.48 inference(rewrite,[status(thm)],[])).
% 8.56/6.48 tff(24073,plain,
% 8.56/6.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB1, constB2)) | (v193(constB2) <=> v191(constB1)))),
% 8.56/6.48 inference(quant_inst,[status(thm)],[])).
% 8.56/6.48 tff(24074,plain,
% 8.56/6.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB1, constB2)) | (v193(constB2) <=> v191(constB1))),
% 8.56/6.48 inference(modus_ponens,[status(thm)],[24073, 24072])).
% 8.56/6.48 tff(24075,plain,
% 8.56/6.48 (v193(constB2) <=> v191(constB1)),
% 8.56/6.48 inference(unit_resolution,[status(thm)],[24074, 3112, 70])).
% 8.56/6.48 tff(24076,plain,
% 8.56/6.48 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB1) <=> (v194(constB1) | v198(constB1)))),
% 8.56/6.48 inference(quant_inst,[status(thm)],[])).
% 8.56/6.48 tff(24077,plain,
% 8.56/6.48 (v191(constB1) <=> (v194(constB1) | v198(constB1))),
% 8.56/6.48 inference(unit_resolution,[status(thm)],[24076, 84])).
% 8.56/6.48 tff(24078,plain,
% 8.56/6.48 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB1) <=> (~((~v199(constB1)) | (~v200(constB1)))))),
% 8.56/6.48 inference(quant_inst,[status(thm)],[])).
% 8.56/6.48 tff(24079,plain,
% 8.56/6.48 (v198(constB1) <=> (~((~v199(constB1)) | (~v200(constB1))))),
% 8.56/6.48 inference(unit_resolution,[status(thm)],[24078, 96])).
% 8.56/6.48 tff(24080,plain,
% 8.56/6.48 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB1) <=> (~((~v197(constB1)) | (~v201(constB1)))))),
% 8.56/6.48 inference(quant_inst,[status(thm)],[])).
% 8.56/6.48 tff(24081,plain,
% 8.56/6.48 (v200(constB1) <=> (~((~v197(constB1)) | (~v201(constB1))))),
% 8.56/6.48 inference(unit_resolution,[status(thm)],[24080, 108])).
% 8.56/6.48 tff(24082,plain,
% 8.56/6.48 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB1) <=> (~((~v159(constB1)) | (~v161(constB1)))))),
% 8.56/6.48 inference(quant_inst,[status(thm)],[])).
% 8.56/6.48 tff(24083,plain,
% 8.56/6.48 (v201(constB1) <=> (~((~v159(constB1)) | (~v161(constB1))))),
% 8.56/6.48 inference(unit_resolution,[status(thm)],[24082, 348])).
% 8.56/6.48 tff(24084,plain,
% 8.56/6.48 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext))))),
% 8.56/6.48 inference(bind,[status(th)],[])).
% 8.56/6.48 tff(24085,plain,
% 8.56/6.48 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))),
% 8.56/6.48 inference(quant_intro,[status(thm)],[24084])).
% 8.56/6.48 tff(24086,plain,
% 8.56/6.48 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))),
% 8.56/6.48 inference(rewrite,[status(thm)],[])).
% 8.56/6.48 tff(24087,plain,
% 8.56/6.48 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(rewrite((v179(VarNext) <=> (v180(VarNext) & $true)) <=> (v179(VarNext) <=> v180(VarNext))), ((nextState(VarCurr, VarNext) => (v179(VarNext) <=> (v180(VarNext) & $true))) <=> (nextState(VarCurr, VarNext) => (v179(VarNext) <=> v180(VarNext))))), rewrite((nextState(VarCurr, VarNext) => (v179(VarNext) <=> v180(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))), ((nextState(VarCurr, VarNext) => (v179(VarNext) <=> (v180(VarNext) & $true))) <=> ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))))),
% 8.56/6.48 inference(bind,[status(th)],[])).
% 8.56/6.48 tff(24088,plain,
% 8.56/6.48 (![VarNext: $i, VarCurr: $i] : (nextState(VarCurr, VarNext) => (v179(VarNext) <=> (v180(VarNext) & $true))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))),
% 8.56/6.48 inference(quant_intro,[status(thm)],[24087])).
% 8.56/6.48 tff(24089,axiom,(![VarNext: $i, VarCurr: $i] : (nextState(VarCurr, VarNext) => (v179(VarNext) <=> (v180(VarNext) & $true)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_43')).
% 8.56/6.48 tff(24090,plain,
% 8.56/6.48 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))),
% 8.56/6.48 inference(modus_ponens,[status(thm)],[24089, 24088])).
% 8.56/6.48 tff(24091,plain,
% 8.56/6.48 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))),
% 8.56/6.48 inference(modus_ponens,[status(thm)],[24090, 24086])).
% 8.56/6.48 tff(24092,plain,(
% 8.56/6.48 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))),
% 8.56/6.48 inference(skolemize,[status(sab)],[24091])).
% 8.56/6.48 tff(24093,plain,
% 8.56/6.48 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))),
% 8.56/6.48 inference(modus_ponens,[status(thm)],[24092, 24085])).
% 8.56/6.48 tff(24094,plain,
% 8.56/6.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB0, constB1)) | (v179(constB1) <=> v180(constB1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB0, constB1)) | (v179(constB1) <=> v180(constB1)))),
% 8.56/6.48 inference(rewrite,[status(thm)],[])).
% 8.56/6.48 tff(24095,plain,
% 8.56/6.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | ((~nextState(constB0, constB1)) | (v179(constB1) <=> v180(constB1)))),
% 8.56/6.48 inference(quant_inst,[status(thm)],[])).
% 8.56/6.48 tff(24096,plain,
% 8.56/6.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v179(VarNext) <=> v180(VarNext)))) | (~nextState(constB0, constB1)) | (v179(constB1) <=> v180(constB1))),
% 8.56/6.48 inference(modus_ponens,[status(thm)],[24095, 24094])).
% 8.56/6.48 tff(24097,plain,
% 8.56/6.48 (v179(constB1) <=> v180(constB1)),
% 8.56/6.48 inference(unit_resolution,[status(thm)],[24096, 3137, 24093])).
% 8.56/6.48 tff(24098,plain,
% 8.56/6.48 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext)))))) <=> ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext)))))))),
% 8.56/6.48 inference(bind,[status(th)],[])).
% 8.56/6.48 tff(24099,plain,
% 8.56/6.48 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext)))))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))),
% 8.56/6.48 inference(quant_intro,[status(thm)],[24098])).
% 8.56/6.48 tff(24100,plain,
% 8.56/6.48 (^[VarNext: $i, VarCurr: $i] : rewrite(((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (v181(VarNext) & v1(VarNext)))) <=> ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext)))))))),
% 8.56/6.48 inference(bind,[status(th)],[])).
% 8.56/6.48 tff(24101,plain,
% 8.56/6.48 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (v181(VarNext) & v1(VarNext)))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))),
% 8.56/6.48 inference(quant_intro,[status(thm)],[24100])).
% 8.56/6.48 tff(24102,plain,
% 8.56/6.48 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (v181(VarNext) & v1(VarNext)))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (v181(VarNext) & v1(VarNext))))),
% 8.56/6.48 inference(rewrite,[status(thm)],[])).
% 8.56/6.48 tff(24103,plain,
% 8.56/6.48 (^[VarNext: $i, VarCurr: $i] : rewrite((nextState(VarCurr, VarNext) => (v180(VarNext) <=> (v181(VarNext) & v1(VarNext)))) <=> ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (v181(VarNext) & v1(VarNext)))))),
% 8.56/6.48 inference(bind,[status(th)],[])).
% 8.56/6.48 tff(24104,plain,
% 8.56/6.48 (![VarNext: $i, VarCurr: $i] : (nextState(VarCurr, VarNext) => (v180(VarNext) <=> (v181(VarNext) & v1(VarNext)))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (v181(VarNext) & v1(VarNext))))),
% 8.56/6.48 inference(quant_intro,[status(thm)],[24103])).
% 8.56/6.48 tff(24105,axiom,(![VarNext: $i, VarCurr: $i] : (nextState(VarCurr, VarNext) => (v180(VarNext) <=> (v181(VarNext) & v1(VarNext))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_42')).
% 8.56/6.48 tff(24106,plain,
% 8.56/6.48 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (v181(VarNext) & v1(VarNext))))),
% 8.56/6.48 inference(modus_ponens,[status(thm)],[24105, 24104])).
% 8.56/6.48 tff(24107,plain,
% 8.56/6.48 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (v181(VarNext) & v1(VarNext))))),
% 8.56/6.48 inference(modus_ponens,[status(thm)],[24106, 24102])).
% 8.56/6.48 tff(24108,plain,(
% 8.56/6.48 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (v181(VarNext) & v1(VarNext))))),
% 8.56/6.48 inference(skolemize,[status(sab)],[24107])).
% 8.56/6.48 tff(24109,plain,
% 8.56/6.48 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))),
% 8.56/6.48 inference(modus_ponens,[status(thm)],[24108, 24101])).
% 8.56/6.48 tff(24110,plain,
% 8.56/6.48 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))),
% 8.56/6.48 inference(modus_ponens,[status(thm)],[24109, 24099])).
% 8.56/6.48 tff(24111,plain,
% 8.56/6.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB0, constB1)) | (v180(constB1) <=> (~((~v1(constB1)) | (~v181(constB1))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB0, constB1)) | (v180(constB1) <=> (~((~v1(constB1)) | (~v181(constB1))))))),
% 8.56/6.48 inference(rewrite,[status(thm)],[])).
% 8.56/6.48 tff(24112,plain,
% 8.56/6.48 (((~nextState(constB0, constB1)) | (v180(constB1) <=> (~((~v181(constB1)) | (~v1(constB1)))))) <=> ((~nextState(constB0, constB1)) | (v180(constB1) <=> (~((~v1(constB1)) | (~v181(constB1))))))),
% 8.56/6.48 inference(rewrite,[status(thm)],[])).
% 8.56/6.48 tff(24113,plain,
% 8.56/6.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB0, constB1)) | (v180(constB1) <=> (~((~v181(constB1)) | (~v1(constB1))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB0, constB1)) | (v180(constB1) <=> (~((~v1(constB1)) | (~v181(constB1)))))))),
% 8.56/6.48 inference(monotonicity,[status(thm)],[24112])).
% 8.56/6.48 tff(24114,plain,
% 8.56/6.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB0, constB1)) | (v180(constB1) <=> (~((~v181(constB1)) | (~v1(constB1))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB0, constB1)) | (v180(constB1) <=> (~((~v1(constB1)) | (~v181(constB1))))))),
% 8.56/6.48 inference(transitivity,[status(thm)],[24113, 24111])).
% 8.56/6.48 tff(24115,plain,
% 8.56/6.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB0, constB1)) | (v180(constB1) <=> (~((~v181(constB1)) | (~v1(constB1))))))),
% 8.56/6.49 inference(quant_inst,[status(thm)],[])).
% 8.56/6.49 tff(24116,plain,
% 8.56/6.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> (~((~v181(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB0, constB1)) | (v180(constB1) <=> (~((~v1(constB1)) | (~v181(constB1)))))),
% 8.56/6.49 inference(modus_ponens,[status(thm)],[24115, 24114])).
% 8.56/6.49 tff(24117,plain,
% 8.56/6.49 (v180(constB1) <=> (~((~v1(constB1)) | (~v181(constB1))))),
% 8.56/6.49 inference(unit_resolution,[status(thm)],[24116, 3137, 24110])).
% 8.56/6.49 tff(24118,plain,
% 8.56/6.49 (((~v1(constB1)) | (~v181(constB1))) | v1(constB1)),
% 8.56/6.49 inference(tautology,[status(thm)],[])).
% 8.56/6.49 tff(24119,plain,
% 8.56/6.49 ((~v1(constB1)) | (~v181(constB1))),
% 8.56/6.49 inference(unit_resolution,[status(thm)],[24118, 3151])).
% 8.56/6.49 tff(24120,plain,
% 8.56/6.49 ((~(v180(constB1) <=> (~((~v1(constB1)) | (~v181(constB1)))))) | (~v180(constB1)) | (~((~v1(constB1)) | (~v181(constB1))))),
% 8.56/6.49 inference(tautology,[status(thm)],[])).
% 8.56/6.49 tff(24121,plain,
% 8.56/6.49 ((~(v180(constB1) <=> (~((~v1(constB1)) | (~v181(constB1)))))) | (~v180(constB1))),
% 8.56/6.49 inference(unit_resolution,[status(thm)],[24120, 24119])).
% 8.56/6.49 tff(24122,plain,
% 8.56/6.49 (~v180(constB1)),
% 8.56/6.49 inference(unit_resolution,[status(thm)],[24121, 24117])).
% 8.56/6.49 tff(24123,plain,
% 8.56/6.49 ((~(v179(constB1) <=> v180(constB1))) | (~v179(constB1)) | v180(constB1)),
% 8.56/6.49 inference(tautology,[status(thm)],[])).
% 8.56/6.49 tff(24124,plain,
% 8.56/6.49 (~v179(constB1)),
% 8.56/6.49 inference(unit_resolution,[status(thm)],[24123, 24122, 24097])).
% 8.56/6.49 tff(24125,plain,
% 8.56/6.49 (^[VarNext: $i, VarCurr: $i] : refl(((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext))) <=> ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext))))),
% 8.56/6.49 inference(bind,[status(th)],[])).
% 8.56/6.49 tff(24126,plain,
% 8.56/6.49 (![VarNext: $i, VarCurr: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))),
% 8.56/6.49 inference(quant_intro,[status(thm)],[24125])).
% 8.56/6.49 tff(24127,plain,
% 8.56/6.49 (![VarNext: $i, VarCurr: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))),
% 8.56/6.49 inference(rewrite,[status(thm)],[])).
% 8.56/6.49 tff(24128,plain,
% 8.56/6.49 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(rewrite(((~v179(VarNext)) => (v159(VarNext) <=> v159(VarCurr))) <=> (v179(VarNext) | (v159(VarNext) <=> v159(VarCurr)))), ((nextState(VarCurr, VarNext) => ((~v179(VarNext)) => (v159(VarNext) <=> v159(VarCurr)))) <=> (nextState(VarCurr, VarNext) => (v179(VarNext) | (v159(VarNext) <=> v159(VarCurr)))))), rewrite((nextState(VarCurr, VarNext) => (v179(VarNext) | (v159(VarNext) <=> v159(VarCurr)))) <=> ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))), ((nextState(VarCurr, VarNext) => ((~v179(VarNext)) => (v159(VarNext) <=> v159(VarCurr)))) <=> ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))))),
% 8.56/6.49 inference(bind,[status(th)],[])).
% 8.56/6.49 tff(24129,plain,
% 8.56/6.49 (![VarNext: $i, VarCurr: $i] : (nextState(VarCurr, VarNext) => ((~v179(VarNext)) => (v159(VarNext) <=> v159(VarCurr)))) <=> ![VarNext: $i, VarCurr: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))),
% 8.56/6.49 inference(quant_intro,[status(thm)],[24128])).
% 8.56/6.49 tff(24130,axiom,(![VarNext: $i, VarCurr: $i] : (nextState(VarCurr, VarNext) => ((~v179(VarNext)) => (v159(VarNext) <=> v159(VarCurr))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_1')).
% 8.56/6.49 tff(24131,plain,
% 8.56/6.49 (![VarNext: $i, VarCurr: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))),
% 8.56/6.49 inference(modus_ponens,[status(thm)],[24130, 24129])).
% 8.56/6.49 tff(24132,plain,
% 8.56/6.49 (![VarNext: $i, VarCurr: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))),
% 8.56/6.49 inference(modus_ponens,[status(thm)],[24131, 24127])).
% 8.56/6.49 tff(24133,plain,(
% 8.56/6.49 ![VarNext: $i, VarCurr: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))),
% 8.56/6.49 inference(skolemize,[status(sab)],[24132])).
% 8.56/6.49 tff(24134,plain,
% 8.56/6.49 (![VarNext: $i, VarCurr: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))),
% 8.56/6.49 inference(modus_ponens,[status(thm)],[24133, 24126])).
% 8.56/6.49 tff(24135,plain,
% 8.56/6.49 (((~![VarNext: $i, VarCurr: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((~nextState(constB0, constB1)) | v179(constB1) | (v159(constB1) <=> v159(constB0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | (~nextState(constB0, constB1)) | v179(constB1) | (v159(constB1) <=> v159(constB0)))),
% 8.56/6.49 inference(rewrite,[status(thm)],[])).
% 8.56/6.49 tff(24136,plain,
% 8.56/6.49 (((v159(constB1) <=> v159(constB0)) | v179(constB1) | (~nextState(constB0, constB1))) <=> ((~nextState(constB0, constB1)) | v179(constB1) | (v159(constB1) <=> v159(constB0)))),
% 8.56/6.49 inference(rewrite,[status(thm)],[])).
% 8.56/6.49 tff(24137,plain,
% 8.56/6.49 (((~![VarNext: $i, VarCurr: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((v159(constB1) <=> v159(constB0)) | v179(constB1) | (~nextState(constB0, constB1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((~nextState(constB0, constB1)) | v179(constB1) | (v159(constB1) <=> v159(constB0))))),
% 8.56/6.49 inference(monotonicity,[status(thm)],[24136])).
% 8.56/6.49 tff(24138,plain,
% 8.56/6.49 (((~![VarNext: $i, VarCurr: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((v159(constB1) <=> v159(constB0)) | v179(constB1) | (~nextState(constB0, constB1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | (~nextState(constB0, constB1)) | v179(constB1) | (v159(constB1) <=> v159(constB0)))),
% 8.56/6.49 inference(transitivity,[status(thm)],[24137, 24135])).
% 8.56/6.49 tff(24139,plain,
% 8.56/6.49 ((~![VarNext: $i, VarCurr: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | ((v159(constB1) <=> v159(constB0)) | v179(constB1) | (~nextState(constB0, constB1)))),
% 8.56/6.49 inference(quant_inst,[status(thm)],[])).
% 8.56/6.49 tff(24140,plain,
% 8.56/6.49 ((~![VarNext: $i, VarCurr: $i] : ((v159(VarNext) <=> v159(VarCurr)) | v179(VarNext) | (~nextState(VarCurr, VarNext)))) | (~nextState(constB0, constB1)) | v179(constB1) | (v159(constB1) <=> v159(constB0))),
% 8.56/6.49 inference(modus_ponens,[status(thm)],[24139, 24138])).
% 8.56/6.49 tff(24141,plain,
% 8.56/6.49 (v179(constB1) | (v159(constB1) <=> v159(constB0))),
% 8.56/6.49 inference(unit_resolution,[status(thm)],[24140, 3137, 24134])).
% 8.56/6.49 tff(24142,plain,
% 8.56/6.49 (v159(constB1) <=> v159(constB0)),
% 8.56/6.49 inference(unit_resolution,[status(thm)],[24141, 24124])).
% 8.56/6.49 tff(24143,plain,
% 8.56/6.49 ((~v159(constB0)) <=> (~v159(constB0))),
% 8.56/6.49 inference(rewrite,[status(thm)],[])).
% 8.56/6.49 tff(24144,axiom,(~v159(constB0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignmentInitValue_7')).
% 8.56/6.49 tff(24145,plain,
% 8.56/6.49 (~v159(constB0)),
% 8.56/6.49 inference(modus_ponens,[status(thm)],[24144, 24143])).
% 8.56/6.49 tff(24146,plain,
% 8.56/6.49 ((~(v159(constB1) <=> v159(constB0))) | (~v159(constB1)) | v159(constB0)),
% 8.56/6.49 inference(tautology,[status(thm)],[])).
% 8.56/6.49 tff(24147,plain,
% 8.56/6.49 ((~(v159(constB1) <=> v159(constB0))) | (~v159(constB1))),
% 8.56/6.49 inference(unit_resolution,[status(thm)],[24146, 24145])).
% 8.56/6.49 tff(24148,plain,
% 8.56/6.49 (~v159(constB1)),
% 8.56/6.49 inference(unit_resolution,[status(thm)],[24147, 24142])).
% 8.56/6.49 tff(24149,plain,
% 8.56/6.49 (((~v159(constB1)) | (~v161(constB1))) | v159(constB1)),
% 8.56/6.49 inference(tautology,[status(thm)],[])).
% 8.56/6.49 tff(24150,plain,
% 8.56/6.49 ((~v159(constB1)) | (~v161(constB1))),
% 8.56/6.49 inference(unit_resolution,[status(thm)],[24149, 24148])).
% 8.56/6.49 tff(24151,plain,
% 8.56/6.49 ((~(v201(constB1) <=> (~((~v159(constB1)) | (~v161(constB1)))))) | (~v201(constB1)) | (~((~v159(constB1)) | (~v161(constB1))))),
% 8.56/6.49 inference(tautology,[status(thm)],[])).
% 8.56/6.49 tff(24152,plain,
% 8.56/6.49 ((~(v201(constB1) <=> (~((~v159(constB1)) | (~v161(constB1)))))) | (~v201(constB1))),
% 8.56/6.49 inference(unit_resolution,[status(thm)],[24151, 24150])).
% 8.56/6.49 tff(24153,plain,
% 8.56/6.49 (~v201(constB1)),
% 8.56/6.49 inference(unit_resolution,[status(thm)],[24152, 24083])).
% 8.56/6.49 tff(24154,plain,
% 8.56/6.49 (((~v197(constB1)) | (~v201(constB1))) | v201(constB1)),
% 8.56/6.49 inference(tautology,[status(thm)],[])).
% 8.56/6.49 tff(24155,plain,
% 8.56/6.49 ((~v197(constB1)) | (~v201(constB1))),
% 8.56/6.49 inference(unit_resolution,[status(thm)],[24154, 24153])).
% 8.56/6.49 tff(24156,plain,
% 8.56/6.49 ((~(v200(constB1) <=> (~((~v197(constB1)) | (~v201(constB1)))))) | (~v200(constB1)) | (~((~v197(constB1)) | (~v201(constB1))))),
% 8.56/6.49 inference(tautology,[status(thm)],[])).
% 8.56/6.49 tff(24157,plain,
% 8.56/6.49 ((~(v200(constB1) <=> (~((~v197(constB1)) | (~v201(constB1)))))) | (~v200(constB1))),
% 8.56/6.49 inference(unit_resolution,[status(thm)],[24156, 24155])).
% 8.56/6.49 tff(24158,plain,
% 8.56/6.49 (~v200(constB1)),
% 8.56/6.49 inference(unit_resolution,[status(thm)],[24157, 24081])).
% 8.56/6.49 tff(24159,plain,
% 8.56/6.49 (((~v199(constB1)) | (~v200(constB1))) | v200(constB1)),
% 8.56/6.49 inference(tautology,[status(thm)],[])).
% 8.56/6.49 tff(24160,plain,
% 8.56/6.49 ((~v199(constB1)) | (~v200(constB1))),
% 8.56/6.49 inference(unit_resolution,[status(thm)],[24159, 24158])).
% 8.56/6.49 tff(24161,plain,
% 8.56/6.49 ((~(v198(constB1) <=> (~((~v199(constB1)) | (~v200(constB1)))))) | (~v198(constB1)) | (~((~v199(constB1)) | (~v200(constB1))))),
% 8.56/6.49 inference(tautology,[status(thm)],[])).
% 8.56/6.49 tff(24162,plain,
% 8.56/6.49 (~v198(constB1)),
% 8.56/6.49 inference(unit_resolution,[status(thm)],[24161, 24160, 24079])).
% 8.56/6.49 tff(24163,plain,
% 8.56/6.49 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB1) <=> (~((~v157(constB1)) | (~v195(constB1)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB1) <=> (~((~v157(constB1)) | (~v195(constB1))))))),
% 8.56/6.49 inference(rewrite,[status(thm)],[])).
% 8.56/6.49 tff(24164,plain,
% 8.56/6.49 ((v194(constB1) <=> (~((~v195(constB1)) | (~v157(constB1))))) <=> (v194(constB1) <=> (~((~v157(constB1)) | (~v195(constB1)))))),
% 8.56/6.49 inference(rewrite,[status(thm)],[])).
% 8.56/6.49 tff(24165,plain,
% 8.56/6.49 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB1) <=> (~((~v195(constB1)) | (~v157(constB1)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB1) <=> (~((~v157(constB1)) | (~v195(constB1))))))),
% 8.56/6.49 inference(monotonicity,[status(thm)],[24164])).
% 8.56/6.49 tff(24166,plain,
% 8.56/6.49 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB1) <=> (~((~v195(constB1)) | (~v157(constB1)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB1) <=> (~((~v157(constB1)) | (~v195(constB1))))))),
% 8.56/6.49 inference(transitivity,[status(thm)],[24165, 24163])).
% 8.56/6.49 tff(24167,plain,
% 8.56/6.49 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB1) <=> (~((~v195(constB1)) | (~v157(constB1)))))),
% 8.56/6.49 inference(quant_inst,[status(thm)],[])).
% 8.56/6.49 tff(24168,plain,
% 8.56/6.49 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB1) <=> (~((~v157(constB1)) | (~v195(constB1)))))),
% 8.56/6.49 inference(modus_ponens,[status(thm)],[24167, 24166])).
% 8.56/6.49 tff(24169,plain,
% 8.56/6.49 (v194(constB1) <=> (~((~v157(constB1)) | (~v195(constB1))))),
% 8.56/6.49 inference(unit_resolution,[status(thm)],[24168, 161])).
% 8.56/6.49 tff(24170,plain,
% 8.56/6.49 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB1) <=> v193(constB1))),
% 8.56/6.49 inference(quant_inst,[status(thm)],[])).
% 8.56/6.49 tff(24171,plain,
% 8.56/6.49 (v157(constB1) <=> v193(constB1)),
% 8.56/6.49 inference(unit_resolution,[status(thm)],[24170, 13])).
% 8.56/6.49 tff(24172,plain,
% 8.56/6.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB0, constB1)) | (v193(constB1) <=> v191(constB0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB0, constB1)) | (v193(constB1) <=> v191(constB0)))),
% 8.56/6.49 inference(rewrite,[status(thm)],[])).
% 8.56/6.49 tff(24173,plain,
% 8.56/6.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB0, constB1)) | (v193(constB1) <=> v191(constB0)))),
% 8.56/6.49 inference(quant_inst,[status(thm)],[])).
% 8.56/6.49 tff(24174,plain,
% 8.56/6.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB0, constB1)) | (v193(constB1) <=> v191(constB0))),
% 8.56/6.49 inference(modus_ponens,[status(thm)],[24173, 24172])).
% 8.56/6.49 tff(24175,plain,
% 8.56/6.49 (v193(constB1) <=> v191(constB0)),
% 8.56/6.49 inference(unit_resolution,[status(thm)],[24174, 3137, 70])).
% 8.56/6.49 tff(24176,plain,
% 8.56/6.49 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB0) <=> (v194(constB0) | v198(constB0)))),
% 8.56/6.49 inference(quant_inst,[status(thm)],[])).
% 8.56/6.49 tff(24177,plain,
% 8.56/6.49 (v191(constB0) <=> (v194(constB0) | v198(constB0))),
% 8.56/6.49 inference(unit_resolution,[status(thm)],[24176, 84])).
% 8.56/6.49 tff(24178,plain,
% 8.56/6.49 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB0) <=> (~((~v199(constB0)) | (~v200(constB0)))))),
% 8.56/6.49 inference(quant_inst,[status(thm)],[])).
% 8.56/6.49 tff(24179,plain,
% 8.56/6.49 (v198(constB0) <=> (~((~v199(constB0)) | (~v200(constB0))))),
% 8.56/6.49 inference(unit_resolution,[status(thm)],[24178, 96])).
% 8.56/6.49 tff(24180,plain,
% 8.56/6.49 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB0) <=> (~((~v197(constB0)) | (~v201(constB0)))))),
% 8.56/6.49 inference(quant_inst,[status(thm)],[])).
% 8.56/6.49 tff(24181,plain,
% 8.56/6.49 (v200(constB0) <=> (~((~v197(constB0)) | (~v201(constB0))))),
% 8.56/6.49 inference(unit_resolution,[status(thm)],[24180, 108])).
% 8.56/6.49 tff(24182,plain,
% 8.56/6.49 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB0) <=> (~((~v159(constB0)) | (~v161(constB0)))))),
% 8.56/6.49 inference(quant_inst,[status(thm)],[])).
% 8.56/6.49 tff(24183,plain,
% 8.56/6.49 (v201(constB0) <=> (~((~v159(constB0)) | (~v161(constB0))))),
% 8.56/6.49 inference(unit_resolution,[status(thm)],[24182, 348])).
% 8.56/6.49 tff(24184,plain,
% 8.56/6.49 (((~v159(constB0)) | (~v161(constB0))) | v159(constB0)),
% 8.56/6.49 inference(tautology,[status(thm)],[])).
% 8.56/6.49 tff(24185,plain,
% 8.56/6.49 ((~v159(constB0)) | (~v161(constB0))),
% 8.56/6.49 inference(unit_resolution,[status(thm)],[24184, 24145])).
% 8.56/6.49 tff(24186,plain,
% 8.56/6.49 ((~(v201(constB0) <=> (~((~v159(constB0)) | (~v161(constB0)))))) | (~v201(constB0)) | (~((~v159(constB0)) | (~v161(constB0))))),
% 8.56/6.49 inference(tautology,[status(thm)],[])).
% 8.56/6.49 tff(24187,plain,
% 8.56/6.49 ((~(v201(constB0) <=> (~((~v159(constB0)) | (~v161(constB0)))))) | (~v201(constB0))),
% 8.56/6.49 inference(unit_resolution,[status(thm)],[24186, 24185])).
% 8.56/6.49 tff(24188,plain,
% 8.56/6.49 (~v201(constB0)),
% 8.56/6.49 inference(unit_resolution,[status(thm)],[24187, 24183])).
% 8.56/6.49 tff(24189,plain,
% 8.56/6.49 (((~v197(constB0)) | (~v201(constB0))) | v201(constB0)),
% 8.56/6.49 inference(tautology,[status(thm)],[])).
% 8.56/6.49 tff(24190,plain,
% 8.56/6.49 ((~v197(constB0)) | (~v201(constB0))),
% 8.56/6.49 inference(unit_resolution,[status(thm)],[24189, 24188])).
% 8.56/6.49 tff(24191,plain,
% 8.56/6.49 ((~(v200(constB0) <=> (~((~v197(constB0)) | (~v201(constB0)))))) | (~v200(constB0)) | (~((~v197(constB0)) | (~v201(constB0))))),
% 8.56/6.49 inference(tautology,[status(thm)],[])).
% 8.56/6.49 tff(24192,plain,
% 8.56/6.49 ((~(v200(constB0) <=> (~((~v197(constB0)) | (~v201(constB0)))))) | (~v200(constB0))),
% 8.56/6.49 inference(unit_resolution,[status(thm)],[24191, 24190])).
% 8.56/6.49 tff(24193,plain,
% 8.56/6.49 (~v200(constB0)),
% 8.56/6.49 inference(unit_resolution,[status(thm)],[24192, 24181])).
% 8.56/6.49 tff(24194,plain,
% 8.56/6.49 (((~v199(constB0)) | (~v200(constB0))) | v200(constB0)),
% 8.56/6.49 inference(tautology,[status(thm)],[])).
% 8.56/6.49 tff(24195,plain,
% 8.56/6.49 ((~v199(constB0)) | (~v200(constB0))),
% 8.56/6.49 inference(unit_resolution,[status(thm)],[24194, 24193])).
% 8.56/6.49 tff(24196,plain,
% 8.56/6.49 ((~(v198(constB0) <=> (~((~v199(constB0)) | (~v200(constB0)))))) | (~v198(constB0)) | (~((~v199(constB0)) | (~v200(constB0))))),
% 8.56/6.49 inference(tautology,[status(thm)],[])).
% 8.56/6.49 tff(24197,plain,
% 8.56/6.49 ((~(v198(constB0) <=> (~((~v199(constB0)) | (~v200(constB0)))))) | (~v198(constB0))),
% 8.56/6.49 inference(unit_resolution,[status(thm)],[24196, 24195])).
% 8.56/6.49 tff(24198,plain,
% 8.56/6.49 (~v198(constB0)),
% 8.56/6.49 inference(unit_resolution,[status(thm)],[24197, 24179])).
% 8.56/6.49 tff(24199,plain,
% 8.56/6.49 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB0) <=> (~((~v157(constB0)) | (~v195(constB0)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB0) <=> (~((~v157(constB0)) | (~v195(constB0))))))),
% 8.56/6.49 inference(rewrite,[status(thm)],[])).
% 8.56/6.49 tff(24200,plain,
% 8.56/6.49 ((v194(constB0) <=> (~((~v195(constB0)) | (~v157(constB0))))) <=> (v194(constB0) <=> (~((~v157(constB0)) | (~v195(constB0)))))),
% 8.56/6.49 inference(rewrite,[status(thm)],[])).
% 8.56/6.49 tff(24201,plain,
% 8.56/6.49 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB0) <=> (~((~v195(constB0)) | (~v157(constB0)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB0) <=> (~((~v157(constB0)) | (~v195(constB0))))))),
% 8.56/6.49 inference(monotonicity,[status(thm)],[24200])).
% 8.56/6.49 tff(24202,plain,
% 8.56/6.49 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB0) <=> (~((~v195(constB0)) | (~v157(constB0)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB0) <=> (~((~v157(constB0)) | (~v195(constB0))))))),
% 8.56/6.49 inference(transitivity,[status(thm)],[24201, 24199])).
% 8.56/6.49 tff(24203,plain,
% 8.56/6.49 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB0) <=> (~((~v195(constB0)) | (~v157(constB0)))))),
% 8.56/6.49 inference(quant_inst,[status(thm)],[])).
% 8.56/6.49 tff(24204,plain,
% 8.56/6.49 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB0) <=> (~((~v157(constB0)) | (~v195(constB0)))))),
% 8.56/6.49 inference(modus_ponens,[status(thm)],[24203, 24202])).
% 8.56/6.49 tff(24205,plain,
% 8.56/6.49 (v194(constB0) <=> (~((~v157(constB0)) | (~v195(constB0))))),
% 8.56/6.49 inference(unit_resolution,[status(thm)],[24204, 161])).
% 8.56/6.49 tff(24206,plain,
% 8.56/6.49 ((~v157(constB0)) <=> (~v157(constB0))),
% 8.56/6.49 inference(rewrite,[status(thm)],[])).
% 8.56/6.49 tff(24207,axiom,(~v157(constB0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignmentInitValue_8')).
% 8.56/6.49 tff(24208,plain,
% 8.56/6.49 (~v157(constB0)),
% 8.56/6.49 inference(modus_ponens,[status(thm)],[24207, 24206])).
% 8.56/6.49 tff(24209,plain,
% 8.56/6.49 (((~v157(constB0)) | (~v195(constB0))) | v157(constB0)),
% 8.56/6.49 inference(tautology,[status(thm)],[])).
% 8.56/6.49 tff(24210,plain,
% 8.56/6.49 ((~v157(constB0)) | (~v195(constB0))),
% 8.56/6.49 inference(unit_resolution,[status(thm)],[24209, 24208])).
% 8.56/6.49 tff(24211,plain,
% 8.56/6.49 ((~(v194(constB0) <=> (~((~v157(constB0)) | (~v195(constB0)))))) | (~v194(constB0)) | (~((~v157(constB0)) | (~v195(constB0))))),
% 8.56/6.49 inference(tautology,[status(thm)],[])).
% 8.56/6.49 tff(24212,plain,
% 8.56/6.49 ((~(v194(constB0) <=> (~((~v157(constB0)) | (~v195(constB0)))))) | (~v194(constB0))),
% 8.56/6.49 inference(unit_resolution,[status(thm)],[24211, 24210])).
% 8.56/6.49 tff(24213,plain,
% 8.56/6.49 (~v194(constB0)),
% 8.56/6.49 inference(unit_resolution,[status(thm)],[24212, 24205])).
% 8.56/6.49 tff(24214,plain,
% 8.56/6.49 ((~(v194(constB0) | v198(constB0))) | v194(constB0) | v198(constB0)),
% 8.56/6.49 inference(tautology,[status(thm)],[])).
% 8.56/6.49 tff(24215,plain,
% 8.56/6.49 ((~(v194(constB0) | v198(constB0))) | v198(constB0)),
% 8.56/6.49 inference(unit_resolution,[status(thm)],[24214, 24213])).
% 8.56/6.49 tff(24216,plain,
% 8.56/6.49 (~(v194(constB0) | v198(constB0))),
% 8.56/6.49 inference(unit_resolution,[status(thm)],[24215, 24198])).
% 8.56/6.49 tff(24217,plain,
% 8.56/6.49 ((~(v191(constB0) <=> (v194(constB0) | v198(constB0)))) | (~v191(constB0)) | (v194(constB0) | v198(constB0))),
% 8.56/6.49 inference(tautology,[status(thm)],[])).
% 8.56/6.49 tff(24218,plain,
% 8.56/6.49 (~v191(constB0)),
% 8.56/6.49 inference(unit_resolution,[status(thm)],[24217, 24216, 24177])).
% 8.56/6.49 tff(24219,plain,
% 8.56/6.49 ((~(v193(constB1) <=> v191(constB0))) | (~v193(constB1)) | v191(constB0)),
% 8.56/6.49 inference(tautology,[status(thm)],[])).
% 8.56/6.49 tff(24220,plain,
% 8.56/6.49 (~v193(constB1)),
% 8.56/6.49 inference(unit_resolution,[status(thm)],[24219, 24218, 24175])).
% 8.56/6.49 tff(24221,plain,
% 8.56/6.49 ((~(v157(constB1) <=> v193(constB1))) | (~v157(constB1)) | v193(constB1)),
% 8.56/6.49 inference(tautology,[status(thm)],[])).
% 8.56/6.49 tff(24222,plain,
% 8.56/6.49 (~v157(constB1)),
% 8.56/6.49 inference(unit_resolution,[status(thm)],[24221, 24220, 24171])).
% 8.56/6.49 tff(24223,plain,
% 8.56/6.49 (((~v157(constB1)) | (~v195(constB1))) | v157(constB1)),
% 8.56/6.49 inference(tautology,[status(thm)],[])).
% 8.56/6.49 tff(24224,plain,
% 8.56/6.49 ((~v157(constB1)) | (~v195(constB1))),
% 8.56/6.49 inference(unit_resolution,[status(thm)],[24223, 24222])).
% 8.56/6.49 tff(24225,plain,
% 8.56/6.49 ((~(v194(constB1) <=> (~((~v157(constB1)) | (~v195(constB1)))))) | (~v194(constB1)) | (~((~v157(constB1)) | (~v195(constB1))))),
% 8.56/6.49 inference(tautology,[status(thm)],[])).
% 8.56/6.49 tff(24226,plain,
% 8.56/6.49 (~v194(constB1)),
% 8.56/6.49 inference(unit_resolution,[status(thm)],[24225, 24224, 24169])).
% 8.56/6.49 tff(24227,plain,
% 8.56/6.49 ((~(v194(constB1) | v198(constB1))) | v194(constB1) | v198(constB1)),
% 8.56/6.49 inference(tautology,[status(thm)],[])).
% 8.56/6.49 tff(24228,plain,
% 8.56/6.49 (~(v194(constB1) | v198(constB1))),
% 8.56/6.49 inference(unit_resolution,[status(thm)],[24227, 24226, 24162])).
% 8.56/6.49 tff(24229,plain,
% 8.56/6.49 ((~(v191(constB1) <=> (v194(constB1) | v198(constB1)))) | (~v191(constB1)) | (v194(constB1) | v198(constB1))),
% 8.56/6.49 inference(tautology,[status(thm)],[])).
% 8.56/6.49 tff(24230,plain,
% 8.56/6.49 (~v191(constB1)),
% 8.56/6.49 inference(unit_resolution,[status(thm)],[24229, 24228, 24077])).
% 8.56/6.49 tff(24231,plain,
% 8.56/6.49 ((~(v193(constB2) <=> v191(constB1))) | (~v193(constB2)) | v191(constB1)),
% 8.56/6.49 inference(tautology,[status(thm)],[])).
% 8.56/6.49 tff(24232,plain,
% 8.56/6.49 (~v193(constB2)),
% 8.56/6.49 inference(unit_resolution,[status(thm)],[24231, 24230, 24075])).
% 8.56/6.49 tff(24233,plain,
% 8.56/6.49 ((~(v157(constB2) <=> v193(constB2))) | (~v157(constB2)) | v193(constB2)),
% 8.56/6.49 inference(tautology,[status(thm)],[])).
% 8.56/6.49 tff(24234,plain,
% 8.56/6.49 (~v157(constB2)),
% 8.56/6.49 inference(unit_resolution,[status(thm)],[24233, 24232, 24071])).
% 8.56/6.49 tff(24235,plain,
% 8.56/6.49 (((~v157(constB2)) | (~v195(constB2))) | v157(constB2)),
% 8.56/6.49 inference(tautology,[status(thm)],[])).
% 8.56/6.49 tff(24236,plain,
% 8.56/6.49 ((~v157(constB2)) | (~v195(constB2))),
% 8.56/6.49 inference(unit_resolution,[status(thm)],[24235, 24234])).
% 8.56/6.49 tff(24237,plain,
% 8.56/6.49 ((~(v194(constB2) <=> (~((~v157(constB2)) | (~v195(constB2)))))) | (~v194(constB2)) | (~((~v157(constB2)) | (~v195(constB2))))),
% 8.56/6.49 inference(tautology,[status(thm)],[])).
% 8.56/6.49 tff(24238,plain,
% 8.56/6.49 (~v194(constB2)),
% 8.56/6.49 inference(unit_resolution,[status(thm)],[24237, 24236, 24069])).
% 8.56/6.49 tff(24239,plain,
% 8.56/6.49 ((~(v194(constB2) | v198(constB2))) | v194(constB2) | v198(constB2)),
% 8.56/6.49 inference(tautology,[status(thm)],[])).
% 8.56/6.49 tff(24240,plain,
% 8.56/6.49 (~(v194(constB2) | v198(constB2))),
% 8.56/6.49 inference(unit_resolution,[status(thm)],[24239, 24238, 24062])).
% 8.56/6.49 tff(24241,plain,
% 8.56/6.49 ((~(v191(constB2) <=> (v194(constB2) | v198(constB2)))) | (~v191(constB2)) | (v194(constB2) | v198(constB2))),
% 8.56/6.49 inference(tautology,[status(thm)],[])).
% 8.56/6.49 tff(24242,plain,
% 8.56/6.49 (~v191(constB2)),
% 8.56/6.49 inference(unit_resolution,[status(thm)],[24241, 24240, 24037])).
% 8.56/6.49 tff(24243,plain,
% 8.56/6.49 ((~(v193(constB3) <=> v191(constB2))) | (~v193(constB3)) | v191(constB2)),
% 8.56/6.49 inference(tautology,[status(thm)],[])).
% 8.56/6.49 tff(24244,plain,
% 8.56/6.49 (~v193(constB3)),
% 8.56/6.49 inference(unit_resolution,[status(thm)],[24243, 24242, 24035])).
% 8.56/6.49 tff(24245,plain,
% 8.56/6.49 ($false),
% 8.56/6.49 inference(unit_resolution,[status(thm)],[24244, 24031])).
% 8.56/6.49 tff(24246,plain,(~(constB3 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.56/6.49 tff(24247,assumption,(constB9 = VarCurr!0), introduced(assumption)).
% 8.56/6.49 tff(24248,plain,
% 8.56/6.49 (v86(constB9) <=> v86(VarCurr!0)),
% 8.56/6.49 inference(monotonicity,[status(thm)],[24247])).
% 8.56/6.49 tff(24249,plain,
% 8.56/6.49 (v86(VarCurr!0) <=> v86(constB9)),
% 8.56/6.49 inference(symmetry,[status(thm)],[24248])).
% 8.56/6.49 tff(24250,plain,
% 8.56/6.49 ((~v86(VarCurr!0)) <=> (~v86(constB9))),
% 8.56/6.49 inference(monotonicity,[status(thm)],[24249])).
% 8.56/6.49 tff(24251,plain,
% 8.56/6.49 (~v86(constB9)),
% 8.56/6.49 inference(modus_ponens,[status(thm)],[14736, 24250])).
% 8.56/6.49 tff(24252,plain,
% 8.56/6.49 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB9) <=> (v136(constB9) | v145(constB9)))),
% 8.56/6.49 inference(quant_inst,[status(thm)],[])).
% 8.56/6.49 tff(24253,plain,
% 8.56/6.49 (v135(constB9) <=> (v136(constB9) | v145(constB9))),
% 8.56/6.49 inference(unit_resolution,[status(thm)],[24252, 14744])).
% 8.56/6.49 tff(24254,plain,
% 8.56/6.49 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB9) <=> (v137(constB9) | v142(constB9)))),
% 8.56/6.49 inference(quant_inst,[status(thm)],[])).
% 8.56/6.49 tff(24255,plain,
% 8.56/6.49 (v136(constB9) <=> (v137(constB9) | v142(constB9))),
% 8.56/6.49 inference(unit_resolution,[status(thm)],[24254, 14753])).
% 8.56/6.49 tff(24256,plain,
% 8.56/6.49 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB9) <=> (v143(constB9) | v144(constB9)))),
% 8.56/6.49 inference(quant_inst,[status(thm)],[])).
% 8.56/6.49 tff(24257,plain,
% 8.56/6.49 (v142(constB9) <=> (v143(constB9) | v144(constB9))),
% 8.56/6.49 inference(unit_resolution,[status(thm)],[24256, 10332])).
% 8.56/6.49 tff(24258,plain,
% 8.56/6.49 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB9) <=> (~((~v88(constB9, bitIndex1)) | v88(constB9, bitIndex2) | v88(constB9, bitIndex0))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB9) <=> (~((~v88(constB9, bitIndex1)) | v88(constB9, bitIndex2) | v88(constB9, bitIndex0)))))),
% 8.56/6.49 inference(rewrite,[status(thm)],[])).
% 8.56/6.49 tff(24259,plain,
% 8.56/6.49 ((v143(constB9) <=> (~(v88(constB9, bitIndex0) | v88(constB9, bitIndex2) | (~v88(constB9, bitIndex1))))) <=> (v143(constB9) <=> (~((~v88(constB9, bitIndex1)) | v88(constB9, bitIndex2) | v88(constB9, bitIndex0))))),
% 8.56/6.49 inference(rewrite,[status(thm)],[])).
% 8.56/6.49 tff(24260,plain,
% 8.56/6.49 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB9) <=> (~(v88(constB9, bitIndex0) | v88(constB9, bitIndex2) | (~v88(constB9, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB9) <=> (~((~v88(constB9, bitIndex1)) | v88(constB9, bitIndex2) | v88(constB9, bitIndex0)))))),
% 8.56/6.49 inference(monotonicity,[status(thm)],[24259])).
% 8.56/6.49 tff(24261,plain,
% 8.56/6.49 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB9) <=> (~(v88(constB9, bitIndex0) | v88(constB9, bitIndex2) | (~v88(constB9, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB9) <=> (~((~v88(constB9, bitIndex1)) | v88(constB9, bitIndex2) | v88(constB9, bitIndex0)))))),
% 8.56/6.49 inference(transitivity,[status(thm)],[24260, 24258])).
% 8.56/6.49 tff(24262,plain,
% 8.56/6.49 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB9) <=> (~(v88(constB9, bitIndex0) | v88(constB9, bitIndex2) | (~v88(constB9, bitIndex1)))))),
% 8.56/6.49 inference(quant_inst,[status(thm)],[])).
% 8.56/6.49 tff(24263,plain,
% 8.56/6.49 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB9) <=> (~((~v88(constB9, bitIndex1)) | v88(constB9, bitIndex2) | v88(constB9, bitIndex0))))),
% 8.56/6.49 inference(modus_ponens,[status(thm)],[24262, 24261])).
% 8.56/6.49 tff(24264,plain,
% 8.56/6.49 (v143(constB9) <=> (~((~v88(constB9, bitIndex1)) | v88(constB9, bitIndex2) | v88(constB9, bitIndex0)))),
% 8.56/6.49 inference(unit_resolution,[status(thm)],[24263, 14770])).
% 8.56/6.49 tff(24265,plain,
% 8.56/6.49 ((~![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))) | (~(((~v88(constB9, bitIndex1)) <=> v90(constB9, bitIndex1)) | ((~v88(constB9, bitIndex2)) <=> v90(constB9, bitIndex2)) | ((~v88(constB9, bitIndex0)) <=> v90(constB9, bitIndex0))))),
% 8.56/6.49 inference(quant_inst,[status(thm)],[])).
% 8.56/6.49 tff(24266,plain,
% 8.56/6.49 (~(((~v88(constB9, bitIndex1)) <=> v90(constB9, bitIndex1)) | ((~v88(constB9, bitIndex2)) <=> v90(constB9, bitIndex2)) | ((~v88(constB9, bitIndex0)) <=> v90(constB9, bitIndex0)))),
% 8.56/6.49 inference(unit_resolution,[status(thm)],[24265, 428])).
% 8.56/6.49 tff(24267,plain,
% 8.56/6.49 ((((~v88(constB9, bitIndex1)) <=> v90(constB9, bitIndex1)) | ((~v88(constB9, bitIndex2)) <=> v90(constB9, bitIndex2)) | ((~v88(constB9, bitIndex0)) <=> v90(constB9, bitIndex0))) | (~((~v88(constB9, bitIndex2)) <=> v90(constB9, bitIndex2)))),
% 8.56/6.49 inference(tautology,[status(thm)],[])).
% 8.56/6.49 tff(24268,plain,
% 8.56/6.49 (~((~v88(constB9, bitIndex2)) <=> v90(constB9, bitIndex2))),
% 8.56/6.49 inference(unit_resolution,[status(thm)],[24267, 24266])).
% 8.56/6.49 tff(24269,plain,
% 8.56/6.49 (((~v88(constB9, bitIndex2)) <=> v90(constB9, bitIndex2)) | (~v88(constB9, bitIndex2)) | v90(constB9, bitIndex2)),
% 8.56/6.49 inference(tautology,[status(thm)],[])).
% 8.56/6.49 tff(24270,plain,
% 8.56/6.49 (~v88(constB9, bitIndex2)),
% 8.56/6.49 inference(unit_resolution,[status(thm)],[24269, 4002, 24268])).
% 8.56/6.49 tff(24271,plain,
% 8.56/6.49 ((((~v88(constB9, bitIndex1)) <=> v90(constB9, bitIndex1)) | ((~v88(constB9, bitIndex2)) <=> v90(constB9, bitIndex2)) | ((~v88(constB9, bitIndex0)) <=> v90(constB9, bitIndex0))) | (~((~v88(constB9, bitIndex0)) <=> v90(constB9, bitIndex0)))),
% 8.56/6.49 inference(tautology,[status(thm)],[])).
% 8.56/6.49 tff(24272,plain,
% 8.56/6.49 (~((~v88(constB9, bitIndex0)) <=> v90(constB9, bitIndex0))),
% 8.56/6.49 inference(unit_resolution,[status(thm)],[24271, 24266])).
% 8.56/6.49 tff(24273,plain,
% 8.56/6.49 (((~v88(constB9, bitIndex0)) <=> v90(constB9, bitIndex0)) | (~v88(constB9, bitIndex0)) | v90(constB9, bitIndex0)),
% 8.56/6.49 inference(tautology,[status(thm)],[])).
% 8.56/6.49 tff(24274,plain,
% 8.56/6.49 (~v88(constB9, bitIndex0)),
% 8.56/6.49 inference(unit_resolution,[status(thm)],[24273, 4020, 24272])).
% 8.56/6.49 tff(24275,plain,
% 8.56/6.49 ((((~v88(constB9, bitIndex1)) <=> v90(constB9, bitIndex1)) | ((~v88(constB9, bitIndex2)) <=> v90(constB9, bitIndex2)) | ((~v88(constB9, bitIndex0)) <=> v90(constB9, bitIndex0))) | (~((~v88(constB9, bitIndex1)) <=> v90(constB9, bitIndex1)))),
% 8.56/6.49 inference(tautology,[status(thm)],[])).
% 8.56/6.49 tff(24276,plain,
% 8.56/6.49 (~((~v88(constB9, bitIndex1)) <=> v90(constB9, bitIndex1))),
% 8.56/6.49 inference(unit_resolution,[status(thm)],[24275, 24266])).
% 8.56/6.49 tff(24277,plain,
% 8.56/6.49 (((~v88(constB9, bitIndex1)) <=> v90(constB9, bitIndex1)) | v88(constB9, bitIndex1) | (~v90(constB9, bitIndex1))),
% 8.56/6.49 inference(tautology,[status(thm)],[])).
% 8.56/6.49 tff(24278,plain,
% 8.56/6.49 (v88(constB9, bitIndex1)),
% 8.56/6.49 inference(unit_resolution,[status(thm)],[24277, 4038, 24276])).
% 8.56/6.49 tff(24279,plain,
% 8.56/6.49 ((~((~v88(constB9, bitIndex1)) | v88(constB9, bitIndex2) | v88(constB9, bitIndex0))) | (~v88(constB9, bitIndex1)) | v88(constB9, bitIndex2) | v88(constB9, bitIndex0)),
% 8.56/6.49 inference(tautology,[status(thm)],[])).
% 8.56/6.49 tff(24280,plain,
% 8.56/6.49 (~((~v88(constB9, bitIndex1)) | v88(constB9, bitIndex2) | v88(constB9, bitIndex0))),
% 8.56/6.49 inference(unit_resolution,[status(thm)],[24279, 24278, 24274, 24270])).
% 8.56/6.49 tff(24281,plain,
% 8.56/6.49 ((~(v143(constB9) <=> (~((~v88(constB9, bitIndex1)) | v88(constB9, bitIndex2) | v88(constB9, bitIndex0))))) | v143(constB9) | ((~v88(constB9, bitIndex1)) | v88(constB9, bitIndex2) | v88(constB9, bitIndex0))),
% 8.56/6.49 inference(tautology,[status(thm)],[])).
% 8.56/6.49 tff(24282,plain,
% 8.56/6.49 (v143(constB9)),
% 8.56/6.49 inference(unit_resolution,[status(thm)],[24281, 24280, 24264])).
% 8.56/6.49 tff(24283,plain,
% 8.56/6.49 ((v143(constB9) | v144(constB9)) | (~v143(constB9))),
% 8.56/6.49 inference(tautology,[status(thm)],[])).
% 8.56/6.49 tff(24284,plain,
% 8.56/6.49 (v143(constB9) | v144(constB9)),
% 8.56/6.49 inference(unit_resolution,[status(thm)],[24283, 24282])).
% 8.56/6.49 tff(24285,plain,
% 8.56/6.49 ((~(v142(constB9) <=> (v143(constB9) | v144(constB9)))) | v142(constB9) | (~(v143(constB9) | v144(constB9)))),
% 8.56/6.49 inference(tautology,[status(thm)],[])).
% 8.56/6.49 tff(24286,plain,
% 8.56/6.49 (v142(constB9)),
% 8.56/6.49 inference(unit_resolution,[status(thm)],[24285, 24284, 24257])).
% 8.56/6.49 tff(24287,plain,
% 8.56/6.49 ((v137(constB9) | v142(constB9)) | (~v142(constB9))),
% 8.56/6.49 inference(tautology,[status(thm)],[])).
% 8.56/6.49 tff(24288,plain,
% 8.56/6.49 (v137(constB9) | v142(constB9)),
% 8.56/6.49 inference(unit_resolution,[status(thm)],[24287, 24286])).
% 8.56/6.49 tff(24289,plain,
% 8.56/6.49 ((~(v136(constB9) <=> (v137(constB9) | v142(constB9)))) | v136(constB9) | (~(v137(constB9) | v142(constB9)))),
% 8.56/6.49 inference(tautology,[status(thm)],[])).
% 8.56/6.49 tff(24290,plain,
% 8.56/6.49 ((~(v136(constB9) <=> (v137(constB9) | v142(constB9)))) | v136(constB9)),
% 8.56/6.49 inference(unit_resolution,[status(thm)],[24289, 24288])).
% 8.56/6.49 tff(24291,plain,
% 8.56/6.49 (v136(constB9)),
% 8.56/6.49 inference(unit_resolution,[status(thm)],[24290, 24255])).
% 8.56/6.49 tff(24292,plain,
% 8.56/6.49 ((v136(constB9) | v145(constB9)) | (~v136(constB9))),
% 8.56/6.49 inference(tautology,[status(thm)],[])).
% 8.56/6.49 tff(24293,plain,
% 8.56/6.49 (v136(constB9) | v145(constB9)),
% 8.56/6.49 inference(unit_resolution,[status(thm)],[24292, 24291])).
% 8.56/6.49 tff(24294,plain,
% 8.56/6.49 ((~(v135(constB9) <=> (v136(constB9) | v145(constB9)))) | v135(constB9) | (~(v136(constB9) | v145(constB9)))),
% 8.56/6.49 inference(tautology,[status(thm)],[])).
% 8.56/6.49 tff(24295,plain,
% 8.56/6.49 (v135(constB9)),
% 8.56/6.49 inference(unit_resolution,[status(thm)],[24294, 24293, 24253])).
% 8.56/6.49 tff(24296,plain,
% 8.56/6.49 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB9)) | (v86(constB9) <=> v148(constB9)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB9)) | (v86(constB9) <=> v148(constB9)))),
% 8.56/6.49 inference(rewrite,[status(thm)],[])).
% 8.56/6.49 tff(24297,plain,
% 8.56/6.49 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB9)) | (v86(constB9) <=> v148(constB9)))),
% 8.56/6.49 inference(quant_inst,[status(thm)],[])).
% 8.56/6.49 tff(24298,plain,
% 8.56/6.49 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB9)) | (v86(constB9) <=> v148(constB9))),
% 8.56/6.49 inference(modus_ponens,[status(thm)],[24297, 24296])).
% 8.56/6.49 tff(24299,plain,
% 8.56/6.49 (v86(constB9) <=> v148(constB9)),
% 8.56/6.49 inference(unit_resolution,[status(thm)],[24298, 14818, 24295])).
% 8.56/6.49 tff(24300,plain,
% 8.56/6.49 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB9) | (~v142(constB9)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB9) | (~v142(constB9)))),
% 8.56/6.49 inference(rewrite,[status(thm)],[])).
% 8.56/6.49 tff(24301,plain,
% 8.56/6.49 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB9) | (~v142(constB9)))),
% 8.56/6.49 inference(quant_inst,[status(thm)],[])).
% 8.56/6.49 tff(24302,plain,
% 8.56/6.49 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB9) | (~v142(constB9))),
% 8.56/6.49 inference(modus_ponens,[status(thm)],[24301, 24300])).
% 8.56/6.49 tff(24303,plain,
% 8.56/6.49 (v148(constB9)),
% 8.56/6.49 inference(unit_resolution,[status(thm)],[24302, 14832, 24286])).
% 8.56/6.49 tff(24304,plain,
% 8.56/6.49 ((~(v86(constB9) <=> v148(constB9))) | v86(constB9) | (~v148(constB9))),
% 8.56/6.49 inference(tautology,[status(thm)],[])).
% 8.56/6.49 tff(24305,plain,
% 8.56/6.49 ((~(v86(constB9) <=> v148(constB9))) | v86(constB9)),
% 8.56/6.49 inference(unit_resolution,[status(thm)],[24304, 24303])).
% 8.56/6.49 tff(24306,plain,
% 8.56/6.49 (v86(constB9)),
% 8.56/6.49 inference(unit_resolution,[status(thm)],[24305, 24299])).
% 8.56/6.49 tff(24307,plain,
% 8.56/6.49 ($false),
% 8.56/6.49 inference(unit_resolution,[status(thm)],[24306, 24251])).
% 8.56/6.49 tff(24308,plain,(~(constB9 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.56/6.49 tff(24309,assumption,(constB193 = VarCurr!0), introduced(assumption)).
% 8.56/6.49 tff(24310,plain,
% 8.56/6.49 (v193(constB193) <=> v193(VarCurr!0)),
% 8.56/6.49 inference(monotonicity,[status(thm)],[24309])).
% 8.56/6.49 tff(24311,plain,
% 8.56/6.49 (v193(VarCurr!0) <=> v193(constB193)),
% 8.56/6.49 inference(symmetry,[status(thm)],[24310])).
% 8.56/6.49 tff(24312,plain,
% 8.56/6.49 (v193(constB193)),
% 8.56/6.49 inference(modus_ponens,[status(thm)],[59, 24311])).
% 8.56/6.49 tff(24313,plain,
% 8.56/6.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB192, constB193)) | (v193(constB193) <=> v191(constB192)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB192, constB193)) | (v193(constB193) <=> v191(constB192)))),
% 8.56/6.49 inference(rewrite,[status(thm)],[])).
% 8.56/6.49 tff(24314,plain,
% 8.56/6.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB192, constB193)) | (v193(constB193) <=> v191(constB192)))),
% 8.56/6.49 inference(quant_inst,[status(thm)],[])).
% 8.56/6.49 tff(24315,plain,
% 8.56/6.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB192, constB193)) | (v193(constB193) <=> v191(constB192))),
% 8.56/6.49 inference(modus_ponens,[status(thm)],[24314, 24313])).
% 8.56/6.49 tff(24316,plain,
% 8.56/6.49 (v193(constB193) <=> v191(constB192)),
% 8.56/6.50 inference(unit_resolution,[status(thm)],[24315, 15067, 70])).
% 8.56/6.50 tff(24317,plain,
% 8.56/6.50 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB192) <=> (v194(constB192) | v198(constB192)))),
% 8.56/6.50 inference(quant_inst,[status(thm)],[])).
% 8.56/6.50 tff(24318,plain,
% 8.56/6.50 (v191(constB192) <=> (v194(constB192) | v198(constB192))),
% 8.56/6.50 inference(unit_resolution,[status(thm)],[24317, 84])).
% 8.56/6.50 tff(24319,plain,
% 8.56/6.50 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB192) <=> (~((~v199(constB192)) | (~v200(constB192)))))),
% 8.56/6.50 inference(quant_inst,[status(thm)],[])).
% 8.56/6.50 tff(24320,plain,
% 8.56/6.50 (v198(constB192) <=> (~((~v199(constB192)) | (~v200(constB192))))),
% 8.56/6.50 inference(unit_resolution,[status(thm)],[24319, 96])).
% 8.56/6.50 tff(24321,plain,
% 8.56/6.50 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB192) <=> (~((~v197(constB192)) | (~v201(constB192)))))),
% 8.56/6.50 inference(quant_inst,[status(thm)],[])).
% 8.56/6.50 tff(24322,plain,
% 8.56/6.50 (v200(constB192) <=> (~((~v197(constB192)) | (~v201(constB192))))),
% 8.56/6.50 inference(unit_resolution,[status(thm)],[24321, 108])).
% 8.56/6.50 tff(24323,plain,
% 8.56/6.50 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB192) <=> (~((~v39(constB192)) | (~v9(constB192)))))),
% 8.56/6.50 inference(quant_inst,[status(thm)],[])).
% 8.56/6.50 tff(24324,plain,
% 8.56/6.50 (v197(constB192) <=> (~((~v39(constB192)) | (~v9(constB192))))),
% 8.56/6.50 inference(unit_resolution,[status(thm)],[24323, 120])).
% 8.56/6.50 tff(24325,plain,
% 8.56/6.50 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB192)) <=> v1(constB192))),
% 8.56/6.50 inference(quant_inst,[status(thm)],[])).
% 8.56/6.50 tff(24326,plain,
% 8.56/6.50 ((~v39(constB192)) <=> v1(constB192)),
% 8.56/6.50 inference(unit_resolution,[status(thm)],[24325, 129])).
% 8.56/6.50 tff(24327,plain,
% 8.56/6.50 ((~((~v39(constB192)) <=> v1(constB192))) | (~v39(constB192)) | (~v1(constB192))),
% 8.56/6.50 inference(tautology,[status(thm)],[])).
% 8.56/6.50 tff(24328,plain,
% 8.56/6.50 ((~((~v39(constB192)) <=> v1(constB192))) | (~v39(constB192))),
% 8.56/6.50 inference(unit_resolution,[status(thm)],[24327, 23698])).
% 8.56/6.50 tff(24329,plain,
% 8.56/6.50 (~v39(constB192)),
% 8.56/6.50 inference(unit_resolution,[status(thm)],[24328, 24326])).
% 8.56/6.50 tff(24330,plain,
% 8.56/6.50 (((~v39(constB192)) | (~v9(constB192))) | v39(constB192)),
% 8.56/6.50 inference(tautology,[status(thm)],[])).
% 8.56/6.50 tff(24331,plain,
% 8.56/6.50 ((~v39(constB192)) | (~v9(constB192))),
% 8.56/6.50 inference(unit_resolution,[status(thm)],[24330, 24329])).
% 8.56/6.50 tff(24332,plain,
% 8.56/6.50 ((~(v197(constB192) <=> (~((~v39(constB192)) | (~v9(constB192)))))) | (~v197(constB192)) | (~((~v39(constB192)) | (~v9(constB192))))),
% 8.56/6.50 inference(tautology,[status(thm)],[])).
% 8.56/6.50 tff(24333,plain,
% 8.56/6.50 ((~(v197(constB192) <=> (~((~v39(constB192)) | (~v9(constB192)))))) | (~v197(constB192))),
% 8.56/6.50 inference(unit_resolution,[status(thm)],[24332, 24331])).
% 8.56/6.50 tff(24334,plain,
% 8.56/6.50 (~v197(constB192)),
% 8.56/6.50 inference(unit_resolution,[status(thm)],[24333, 24324])).
% 8.56/6.50 tff(24335,plain,
% 8.56/6.50 (((~v197(constB192)) | (~v201(constB192))) | v197(constB192)),
% 8.56/6.50 inference(tautology,[status(thm)],[])).
% 8.56/6.50 tff(24336,plain,
% 8.56/6.50 ((~v197(constB192)) | (~v201(constB192))),
% 8.56/6.50 inference(unit_resolution,[status(thm)],[24335, 24334])).
% 8.56/6.50 tff(24337,plain,
% 8.56/6.50 ((~(v200(constB192) <=> (~((~v197(constB192)) | (~v201(constB192)))))) | (~v200(constB192)) | (~((~v197(constB192)) | (~v201(constB192))))),
% 8.56/6.50 inference(tautology,[status(thm)],[])).
% 8.56/6.50 tff(24338,plain,
% 8.56/6.50 ((~(v200(constB192) <=> (~((~v197(constB192)) | (~v201(constB192)))))) | (~v200(constB192))),
% 8.56/6.50 inference(unit_resolution,[status(thm)],[24337, 24336])).
% 8.56/6.50 tff(24339,plain,
% 8.56/6.50 (~v200(constB192)),
% 8.56/6.50 inference(unit_resolution,[status(thm)],[24338, 24322])).
% 8.56/6.50 tff(24340,plain,
% 8.56/6.50 (((~v199(constB192)) | (~v200(constB192))) | v200(constB192)),
% 8.56/6.50 inference(tautology,[status(thm)],[])).
% 8.56/6.50 tff(24341,plain,
% 8.56/6.50 ((~v199(constB192)) | (~v200(constB192))),
% 8.56/6.50 inference(unit_resolution,[status(thm)],[24340, 24339])).
% 8.56/6.50 tff(24342,plain,
% 8.56/6.50 ((~(v198(constB192) <=> (~((~v199(constB192)) | (~v200(constB192)))))) | (~v198(constB192)) | (~((~v199(constB192)) | (~v200(constB192))))),
% 8.56/6.50 inference(tautology,[status(thm)],[])).
% 8.56/6.50 tff(24343,plain,
% 8.56/6.50 (~v198(constB192)),
% 8.56/6.50 inference(unit_resolution,[status(thm)],[24342, 24341, 24320])).
% 8.56/6.50 tff(24344,plain,
% 8.56/6.50 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB192) <=> (~((~v157(constB192)) | (~v195(constB192)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB192) <=> (~((~v157(constB192)) | (~v195(constB192))))))),
% 8.56/6.50 inference(rewrite,[status(thm)],[])).
% 8.56/6.50 tff(24345,plain,
% 8.56/6.50 ((v194(constB192) <=> (~((~v195(constB192)) | (~v157(constB192))))) <=> (v194(constB192) <=> (~((~v157(constB192)) | (~v195(constB192)))))),
% 8.56/6.50 inference(rewrite,[status(thm)],[])).
% 8.56/6.50 tff(24346,plain,
% 8.56/6.50 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB192) <=> (~((~v195(constB192)) | (~v157(constB192)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB192) <=> (~((~v157(constB192)) | (~v195(constB192))))))),
% 8.56/6.50 inference(monotonicity,[status(thm)],[24345])).
% 8.56/6.50 tff(24347,plain,
% 8.56/6.50 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB192) <=> (~((~v195(constB192)) | (~v157(constB192)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB192) <=> (~((~v157(constB192)) | (~v195(constB192))))))),
% 8.56/6.50 inference(transitivity,[status(thm)],[24346, 24344])).
% 8.56/6.50 tff(24348,plain,
% 8.56/6.50 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB192) <=> (~((~v195(constB192)) | (~v157(constB192)))))),
% 8.56/6.50 inference(quant_inst,[status(thm)],[])).
% 8.56/6.50 tff(24349,plain,
% 8.56/6.50 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB192) <=> (~((~v157(constB192)) | (~v195(constB192)))))),
% 8.56/6.50 inference(modus_ponens,[status(thm)],[24348, 24347])).
% 8.56/6.50 tff(24350,plain,
% 8.56/6.50 (v194(constB192) <=> (~((~v157(constB192)) | (~v195(constB192))))),
% 8.56/6.50 inference(unit_resolution,[status(thm)],[24349, 161])).
% 8.56/6.50 tff(24351,plain,
% 8.56/6.50 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB192) <=> v193(constB192))),
% 8.56/6.50 inference(quant_inst,[status(thm)],[])).
% 8.56/6.50 tff(24352,plain,
% 8.56/6.50 (v157(constB192) <=> v193(constB192)),
% 8.56/6.50 inference(unit_resolution,[status(thm)],[24351, 13])).
% 8.56/6.50 tff(24353,plain,
% 8.56/6.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB191, constB192)) | (v193(constB192) <=> v191(constB191)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB191, constB192)) | (v193(constB192) <=> v191(constB191)))),
% 8.56/6.50 inference(rewrite,[status(thm)],[])).
% 8.56/6.50 tff(24354,plain,
% 8.56/6.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB191, constB192)) | (v193(constB192) <=> v191(constB191)))),
% 8.56/6.50 inference(quant_inst,[status(thm)],[])).
% 8.56/6.50 tff(24355,plain,
% 8.56/6.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB191, constB192)) | (v193(constB192) <=> v191(constB191))),
% 8.56/6.50 inference(modus_ponens,[status(thm)],[24354, 24353])).
% 8.56/6.50 tff(24356,plain,
% 8.56/6.50 (v193(constB192) <=> v191(constB191)),
% 8.56/6.50 inference(unit_resolution,[status(thm)],[24355, 15103, 70])).
% 8.56/6.50 tff(24357,plain,
% 8.56/6.50 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB191) <=> (v194(constB191) | v198(constB191)))),
% 8.56/6.50 inference(quant_inst,[status(thm)],[])).
% 8.56/6.50 tff(24358,plain,
% 8.56/6.50 (v191(constB191) <=> (v194(constB191) | v198(constB191))),
% 8.56/6.50 inference(unit_resolution,[status(thm)],[24357, 84])).
% 8.56/6.50 tff(24359,plain,
% 8.56/6.50 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB191) <=> (~((~v157(constB191)) | (~v195(constB191)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB191) <=> (~((~v157(constB191)) | (~v195(constB191))))))),
% 8.56/6.50 inference(rewrite,[status(thm)],[])).
% 8.56/6.50 tff(24360,plain,
% 8.56/6.50 ((v194(constB191) <=> (~((~v195(constB191)) | (~v157(constB191))))) <=> (v194(constB191) <=> (~((~v157(constB191)) | (~v195(constB191)))))),
% 8.56/6.50 inference(rewrite,[status(thm)],[])).
% 8.56/6.50 tff(24361,plain,
% 8.56/6.50 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB191) <=> (~((~v195(constB191)) | (~v157(constB191)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB191) <=> (~((~v157(constB191)) | (~v195(constB191))))))),
% 8.56/6.50 inference(monotonicity,[status(thm)],[24360])).
% 8.56/6.50 tff(24362,plain,
% 8.56/6.50 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB191) <=> (~((~v195(constB191)) | (~v157(constB191)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB191) <=> (~((~v157(constB191)) | (~v195(constB191))))))),
% 8.56/6.50 inference(transitivity,[status(thm)],[24361, 24359])).
% 8.56/6.50 tff(24363,plain,
% 8.56/6.50 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB191) <=> (~((~v195(constB191)) | (~v157(constB191)))))),
% 8.56/6.50 inference(quant_inst,[status(thm)],[])).
% 8.56/6.50 tff(24364,plain,
% 8.56/6.50 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB191) <=> (~((~v157(constB191)) | (~v195(constB191)))))),
% 8.56/6.50 inference(modus_ponens,[status(thm)],[24363, 24362])).
% 8.56/6.50 tff(24365,plain,
% 8.56/6.50 (v194(constB191) <=> (~((~v157(constB191)) | (~v195(constB191))))),
% 8.56/6.50 inference(unit_resolution,[status(thm)],[24364, 161])).
% 8.56/6.50 tff(24366,plain,
% 8.56/6.50 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB191)) <=> v196(constB191))),
% 8.56/6.50 inference(quant_inst,[status(thm)],[])).
% 8.56/6.50 tff(24367,plain,
% 8.56/6.50 ((~v195(constB191)) <=> v196(constB191)),
% 8.56/6.50 inference(unit_resolution,[status(thm)],[24366, 193])).
% 8.56/6.50 tff(24368,plain,
% 8.56/6.50 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB191) <=> (v197(constB191) | v26(constB191)))),
% 8.56/6.50 inference(quant_inst,[status(thm)],[])).
% 8.56/6.50 tff(24369,plain,
% 8.56/6.50 (v196(constB191) <=> (v197(constB191) | v26(constB191))),
% 8.56/6.50 inference(unit_resolution,[status(thm)],[24368, 202])).
% 8.56/6.50 tff(24370,plain,
% 8.56/6.50 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB191) <=> (~((~v39(constB191)) | (~v9(constB191)))))),
% 8.56/6.50 inference(quant_inst,[status(thm)],[])).
% 8.56/6.50 tff(24371,plain,
% 8.56/6.50 (v197(constB191) <=> (~((~v39(constB191)) | (~v9(constB191))))),
% 8.56/6.50 inference(unit_resolution,[status(thm)],[24370, 120])).
% 8.56/6.50 tff(24372,plain,
% 8.56/6.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB191, constB192)) | (v13(constB192) <=> v9(constB191)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB191, constB192)) | (v13(constB192) <=> v9(constB191)))),
% 8.56/6.50 inference(rewrite,[status(thm)],[])).
% 8.56/6.50 tff(24373,plain,
% 8.56/6.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB191, constB192)) | (v13(constB192) <=> v9(constB191)))),
% 8.56/6.50 inference(quant_inst,[status(thm)],[])).
% 8.56/6.50 tff(24374,plain,
% 8.56/6.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB191, constB192)) | (v13(constB192) <=> v9(constB191))),
% 8.56/6.50 inference(modus_ponens,[status(thm)],[24373, 24372])).
% 8.56/6.50 tff(24375,plain,
% 8.56/6.50 (v13(constB192) <=> v9(constB191)),
% 8.56/6.50 inference(unit_resolution,[status(thm)],[24374, 15103, 216])).
% 8.56/6.50 tff(24376,plain,
% 8.56/6.50 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB192) <=> v13(constB192))),
% 8.56/6.50 inference(quant_inst,[status(thm)],[])).
% 8.56/6.50 tff(24377,plain,
% 8.56/6.50 (v6(constB192) <=> v13(constB192)),
% 8.56/6.50 inference(unit_resolution,[status(thm)],[24376, 230])).
% 8.56/6.50 tff(24378,plain,
% 8.56/6.50 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB192)) <=> v6(constB192))),
% 8.56/6.50 inference(quant_inst,[status(thm)],[])).
% 8.56/6.50 tff(24379,plain,
% 8.56/6.50 ((~v21(constB192)) <=> v6(constB192)),
% 8.56/6.50 inference(unit_resolution,[status(thm)],[24378, 239])).
% 8.56/6.50 tff(24380,plain,
% 8.56/6.50 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB192) <=> (v20(constB192) | v21(constB192)))),
% 8.56/6.50 inference(quant_inst,[status(thm)],[])).
% 8.56/6.50 tff(24381,plain,
% 8.56/6.50 (v19(constB192) <=> (v20(constB192) | v21(constB192))),
% 8.56/6.50 inference(unit_resolution,[status(thm)],[24380, 248])).
% 8.56/6.50 tff(24382,plain,
% 8.56/6.50 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB192) <=> (~((~v19(constB192)) | (~v22(constB192)))))),
% 8.56/6.50 inference(quant_inst,[status(thm)],[])).
% 8.56/6.50 tff(24383,plain,
% 8.56/6.50 (v18(constB192) <=> (~((~v19(constB192)) | (~v22(constB192))))),
% 8.56/6.50 inference(unit_resolution,[status(thm)],[24382, 260])).
% 8.56/6.50 tff(24384,plain,
% 8.56/6.50 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB192)) <=> v18(constB192))),
% 8.56/6.50 inference(quant_inst,[status(thm)],[])).
% 8.56/6.50 tff(24385,plain,
% 8.56/6.50 ((~v4(constB192)) <=> v18(constB192)),
% 8.56/6.50 inference(unit_resolution,[status(thm)],[24384, 269])).
% 8.56/6.50 tff(24386,plain,
% 8.56/6.50 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB192)),
% 8.56/6.50 inference(quant_inst,[status(thm)],[])).
% 8.56/6.50 tff(24387,plain,
% 8.56/6.50 (v4(constB192)),
% 8.56/6.50 inference(unit_resolution,[status(thm)],[24386, 278])).
% 8.56/6.50 tff(24388,plain,
% 8.56/6.50 ((~((~v4(constB192)) <=> v18(constB192))) | (~v4(constB192)) | (~v18(constB192))),
% 8.56/6.50 inference(tautology,[status(thm)],[])).
% 8.56/6.50 tff(24389,plain,
% 8.56/6.50 (~v18(constB192)),
% 8.56/6.50 inference(unit_resolution,[status(thm)],[24388, 24387, 24385])).
% 8.56/6.50 tff(24390,plain,
% 8.56/6.50 ((~(v18(constB192) <=> (~((~v19(constB192)) | (~v22(constB192)))))) | v18(constB192) | ((~v19(constB192)) | (~v22(constB192)))),
% 8.56/6.50 inference(tautology,[status(thm)],[])).
% 8.56/6.50 tff(24391,plain,
% 8.56/6.50 ((~v19(constB192)) | (~v22(constB192))),
% 8.56/6.50 inference(unit_resolution,[status(thm)],[24390, 24389, 24383])).
% 8.56/6.50 tff(24392,plain,
% 8.56/6.50 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB192) <=> (v1(constB192) | v6(constB192)))),
% 8.56/6.50 inference(quant_inst,[status(thm)],[])).
% 8.56/6.50 tff(24393,plain,
% 8.56/6.50 (v22(constB192) <=> (v1(constB192) | v6(constB192))),
% 8.56/6.50 inference(unit_resolution,[status(thm)],[24392, 291])).
% 8.56/6.50 tff(24394,plain,
% 8.56/6.50 ((v1(constB192) | v6(constB192)) | (~v1(constB192))),
% 8.56/6.50 inference(tautology,[status(thm)],[])).
% 8.56/6.50 tff(24395,plain,
% 8.56/6.50 (v1(constB192) | v6(constB192)),
% 8.56/6.50 inference(unit_resolution,[status(thm)],[24394, 23698])).
% 8.56/6.50 tff(24396,plain,
% 8.56/6.50 ((~(v22(constB192) <=> (v1(constB192) | v6(constB192)))) | v22(constB192) | (~(v1(constB192) | v6(constB192)))),
% 8.56/6.50 inference(tautology,[status(thm)],[])).
% 8.56/6.50 tff(24397,plain,
% 8.56/6.50 ((~(v22(constB192) <=> (v1(constB192) | v6(constB192)))) | v22(constB192)),
% 8.56/6.50 inference(unit_resolution,[status(thm)],[24396, 24395])).
% 8.56/6.50 tff(24398,plain,
% 8.56/6.50 (v22(constB192)),
% 8.56/6.50 inference(unit_resolution,[status(thm)],[24397, 24393])).
% 8.56/6.50 tff(24399,plain,
% 8.56/6.50 ((~((~v19(constB192)) | (~v22(constB192)))) | (~v19(constB192)) | (~v22(constB192))),
% 8.56/6.50 inference(tautology,[status(thm)],[])).
% 8.56/6.50 tff(24400,plain,
% 8.56/6.50 ((~((~v19(constB192)) | (~v22(constB192)))) | (~v19(constB192))),
% 8.56/6.50 inference(unit_resolution,[status(thm)],[24399, 24398])).
% 8.56/6.50 tff(24401,plain,
% 8.56/6.50 (~v19(constB192)),
% 8.56/6.50 inference(unit_resolution,[status(thm)],[24400, 24391])).
% 8.56/6.50 tff(24402,plain,
% 8.56/6.50 ((~(v19(constB192) <=> (v20(constB192) | v21(constB192)))) | v19(constB192) | (~(v20(constB192) | v21(constB192)))),
% 8.56/6.50 inference(tautology,[status(thm)],[])).
% 8.56/6.50 tff(24403,plain,
% 8.56/6.50 (~(v20(constB192) | v21(constB192))),
% 8.56/6.50 inference(unit_resolution,[status(thm)],[24402, 24401, 24381])).
% 8.56/6.50 tff(24404,plain,
% 8.56/6.50 ((v20(constB192) | v21(constB192)) | (~v21(constB192))),
% 8.56/6.50 inference(tautology,[status(thm)],[])).
% 8.56/6.50 tff(24405,plain,
% 8.56/6.50 (~v21(constB192)),
% 8.56/6.50 inference(unit_resolution,[status(thm)],[24404, 24403])).
% 8.56/6.50 tff(24406,plain,
% 8.56/6.50 ((~((~v21(constB192)) <=> v6(constB192))) | v21(constB192) | v6(constB192)),
% 8.56/6.50 inference(tautology,[status(thm)],[])).
% 8.56/6.50 tff(24407,plain,
% 8.56/6.50 (v6(constB192)),
% 8.56/6.50 inference(unit_resolution,[status(thm)],[24406, 24405, 24379])).
% 8.56/6.50 tff(24408,plain,
% 8.58/6.50 ((~(v6(constB192) <=> v13(constB192))) | (~v6(constB192)) | v13(constB192)),
% 8.58/6.50 inference(tautology,[status(thm)],[])).
% 8.58/6.50 tff(24409,plain,
% 8.58/6.50 (v13(constB192)),
% 8.58/6.50 inference(unit_resolution,[status(thm)],[24408, 24407, 24377])).
% 8.58/6.50 tff(24410,plain,
% 8.58/6.50 ((~(v13(constB192) <=> v9(constB191))) | (~v13(constB192)) | v9(constB191)),
% 8.58/6.50 inference(tautology,[status(thm)],[])).
% 8.58/6.50 tff(24411,plain,
% 8.58/6.50 (v9(constB191)),
% 8.58/6.50 inference(unit_resolution,[status(thm)],[24410, 24409, 24375])).
% 8.58/6.50 tff(24412,plain,
% 8.58/6.50 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB191)) <=> v1(constB191))),
% 8.58/6.50 inference(quant_inst,[status(thm)],[])).
% 8.58/6.50 tff(24413,plain,
% 8.58/6.50 ((~v39(constB191)) <=> v1(constB191)),
% 8.58/6.50 inference(unit_resolution,[status(thm)],[24412, 129])).
% 8.58/6.50 tff(24414,plain,
% 8.58/6.50 ((~((~v39(constB191)) <=> v1(constB191))) | v39(constB191) | v1(constB191)),
% 8.58/6.50 inference(tautology,[status(thm)],[])).
% 8.58/6.50 tff(24415,plain,
% 8.58/6.50 ((~((~v39(constB191)) <=> v1(constB191))) | v39(constB191)),
% 8.58/6.50 inference(unit_resolution,[status(thm)],[24414, 15147])).
% 8.58/6.50 tff(24416,plain,
% 8.58/6.50 (v39(constB191)),
% 8.58/6.50 inference(unit_resolution,[status(thm)],[24415, 24413])).
% 8.58/6.50 tff(24417,plain,
% 8.58/6.50 ((~((~v39(constB191)) | (~v9(constB191)))) | (~v39(constB191)) | (~v9(constB191))),
% 8.58/6.50 inference(tautology,[status(thm)],[])).
% 8.58/6.50 tff(24418,plain,
% 8.58/6.50 ((~((~v39(constB191)) | (~v9(constB191)))) | (~v9(constB191))),
% 8.58/6.50 inference(unit_resolution,[status(thm)],[24417, 24416])).
% 8.58/6.50 tff(24419,plain,
% 8.58/6.50 (~((~v39(constB191)) | (~v9(constB191)))),
% 8.58/6.50 inference(unit_resolution,[status(thm)],[24418, 24411])).
% 8.58/6.50 tff(24420,plain,
% 8.58/6.50 ((~(v197(constB191) <=> (~((~v39(constB191)) | (~v9(constB191)))))) | v197(constB191) | ((~v39(constB191)) | (~v9(constB191)))),
% 8.58/6.50 inference(tautology,[status(thm)],[])).
% 8.58/6.50 tff(24421,plain,
% 8.58/6.50 (v197(constB191)),
% 8.58/6.50 inference(unit_resolution,[status(thm)],[24420, 24419, 24371])).
% 8.58/6.50 tff(24422,plain,
% 8.58/6.50 ((v197(constB191) | v26(constB191)) | (~v197(constB191))),
% 8.58/6.50 inference(tautology,[status(thm)],[])).
% 8.58/6.50 tff(24423,plain,
% 8.58/6.50 (v197(constB191) | v26(constB191)),
% 8.58/6.50 inference(unit_resolution,[status(thm)],[24422, 24421])).
% 8.58/6.50 tff(24424,plain,
% 8.58/6.50 ((~(v196(constB191) <=> (v197(constB191) | v26(constB191)))) | v196(constB191) | (~(v197(constB191) | v26(constB191)))),
% 8.58/6.50 inference(tautology,[status(thm)],[])).
% 8.58/6.50 tff(24425,plain,
% 8.58/6.50 (v196(constB191)),
% 8.58/6.50 inference(unit_resolution,[status(thm)],[24424, 24423, 24369])).
% 8.58/6.50 tff(24426,plain,
% 8.58/6.50 ((~((~v195(constB191)) <=> v196(constB191))) | (~v195(constB191)) | (~v196(constB191))),
% 8.58/6.50 inference(tautology,[status(thm)],[])).
% 8.58/6.50 tff(24427,plain,
% 8.58/6.50 (~v195(constB191)),
% 8.58/6.50 inference(unit_resolution,[status(thm)],[24426, 24425, 24367])).
% 8.58/6.50 tff(24428,plain,
% 8.58/6.50 (((~v157(constB191)) | (~v195(constB191))) | v195(constB191)),
% 8.58/6.50 inference(tautology,[status(thm)],[])).
% 8.58/6.50 tff(24429,plain,
% 8.58/6.50 ((~v157(constB191)) | (~v195(constB191))),
% 8.58/6.50 inference(unit_resolution,[status(thm)],[24428, 24427])).
% 8.58/6.50 tff(24430,plain,
% 8.58/6.50 ((~(v194(constB191) <=> (~((~v157(constB191)) | (~v195(constB191)))))) | (~v194(constB191)) | (~((~v157(constB191)) | (~v195(constB191))))),
% 8.58/6.50 inference(tautology,[status(thm)],[])).
% 8.58/6.50 tff(24431,plain,
% 8.58/6.50 (~v194(constB191)),
% 8.58/6.50 inference(unit_resolution,[status(thm)],[24430, 24429, 24365])).
% 8.58/6.50 tff(24432,plain,
% 8.58/6.50 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB191) <=> (~((~v199(constB191)) | (~v200(constB191)))))),
% 8.58/6.50 inference(quant_inst,[status(thm)],[])).
% 8.58/6.50 tff(24433,plain,
% 8.58/6.50 (v198(constB191) <=> (~((~v199(constB191)) | (~v200(constB191))))),
% 8.58/6.50 inference(unit_resolution,[status(thm)],[24432, 96])).
% 8.58/6.50 tff(24434,plain,
% 8.58/6.50 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB191) <=> (~((~v197(constB191)) | (~v201(constB191)))))),
% 8.58/6.50 inference(quant_inst,[status(thm)],[])).
% 8.58/6.50 tff(24435,plain,
% 8.58/6.50 (v200(constB191) <=> (~((~v197(constB191)) | (~v201(constB191))))),
% 8.58/6.50 inference(unit_resolution,[status(thm)],[24434, 108])).
% 8.58/6.50 tff(24436,plain,
% 8.58/6.50 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB191) <=> (~((~v159(constB191)) | (~v161(constB191)))))),
% 8.58/6.50 inference(quant_inst,[status(thm)],[])).
% 8.58/6.50 tff(24437,plain,
% 8.58/6.50 (v201(constB191) <=> (~((~v159(constB191)) | (~v161(constB191))))),
% 8.58/6.50 inference(unit_resolution,[status(thm)],[24436, 348])).
% 8.58/6.50 tff(24438,plain,
% 8.58/6.50 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB191) <=> v163(constB191))),
% 8.58/6.50 inference(quant_inst,[status(thm)],[])).
% 8.58/6.50 tff(24439,plain,
% 8.58/6.50 (v161(constB191) <=> v163(constB191)),
% 8.58/6.50 inference(unit_resolution,[status(thm)],[24438, 357])).
% 8.58/6.50 tff(24440,plain,
% 8.58/6.50 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB191) <=> (v145(constB191) | v167(constB191)))),
% 8.58/6.50 inference(quant_inst,[status(thm)],[])).
% 8.58/6.50 tff(24441,plain,
% 8.58/6.50 (v166(constB191) <=> (v145(constB191) | v167(constB191))),
% 8.58/6.50 inference(unit_resolution,[status(thm)],[24440, 369])).
% 8.58/6.50 tff(24442,plain,
% 8.58/6.50 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB191) <=> (v142(constB191) | v168(constB191)))),
% 8.58/6.50 inference(quant_inst,[status(thm)],[])).
% 8.58/6.50 tff(24443,plain,
% 8.58/6.50 (v167(constB191) <=> (v142(constB191) | v168(constB191))),
% 8.58/6.50 inference(unit_resolution,[status(thm)],[24442, 381])).
% 8.58/6.50 tff(24444,plain,
% 8.58/6.50 ((~![VarCurr: $i] : (v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr)))) | (v168(constB191) <=> (v141(constB191) | v169(constB191)))),
% 8.58/6.50 inference(quant_inst,[status(thm)],[])).
% 8.58/6.50 tff(24445,plain,
% 8.58/6.50 (v168(constB191) <=> (v141(constB191) | v169(constB191))),
% 8.58/6.50 inference(unit_resolution,[status(thm)],[24444, 393])).
% 8.58/6.50 tff(24446,plain,
% 8.58/6.50 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB191) <=> (~((~v88(constB191, bitIndex1)) | v88(constB191, bitIndex2) | (~v88(constB191, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB191) <=> (~((~v88(constB191, bitIndex1)) | v88(constB191, bitIndex2) | (~v88(constB191, bitIndex0))))))),
% 8.58/6.50 inference(rewrite,[status(thm)],[])).
% 8.58/6.50 tff(24447,plain,
% 8.58/6.50 ((v141(constB191) <=> (~(v88(constB191, bitIndex2) | (~v88(constB191, bitIndex1)) | (~v88(constB191, bitIndex0))))) <=> (v141(constB191) <=> (~((~v88(constB191, bitIndex1)) | v88(constB191, bitIndex2) | (~v88(constB191, bitIndex0)))))),
% 8.58/6.50 inference(rewrite,[status(thm)],[])).
% 8.58/6.50 tff(24448,plain,
% 8.58/6.50 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB191) <=> (~(v88(constB191, bitIndex2) | (~v88(constB191, bitIndex1)) | (~v88(constB191, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB191) <=> (~((~v88(constB191, bitIndex1)) | v88(constB191, bitIndex2) | (~v88(constB191, bitIndex0))))))),
% 8.58/6.50 inference(monotonicity,[status(thm)],[24447])).
% 8.58/6.50 tff(24449,plain,
% 8.58/6.50 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB191) <=> (~(v88(constB191, bitIndex2) | (~v88(constB191, bitIndex1)) | (~v88(constB191, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB191) <=> (~((~v88(constB191, bitIndex1)) | v88(constB191, bitIndex2) | (~v88(constB191, bitIndex0))))))),
% 8.58/6.50 inference(transitivity,[status(thm)],[24448, 24446])).
% 8.58/6.50 tff(24450,plain,
% 8.58/6.50 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB191) <=> (~(v88(constB191, bitIndex2) | (~v88(constB191, bitIndex1)) | (~v88(constB191, bitIndex0)))))),
% 8.58/6.50 inference(quant_inst,[status(thm)],[])).
% 8.58/6.50 tff(24451,plain,
% 8.58/6.50 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB191) <=> (~((~v88(constB191, bitIndex1)) | v88(constB191, bitIndex2) | (~v88(constB191, bitIndex0)))))),
% 8.58/6.50 inference(modus_ponens,[status(thm)],[24450, 24449])).
% 8.58/6.50 tff(24452,plain,
% 8.58/6.50 (v141(constB191) <=> (~((~v88(constB191, bitIndex1)) | v88(constB191, bitIndex2) | (~v88(constB191, bitIndex0))))),
% 8.58/6.50 inference(unit_resolution,[status(thm)],[24451, 408])).
% 8.58/6.50 tff(24453,plain,
% 8.58/6.50 ((~![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))) | (~(((~v88(constB191, bitIndex1)) <=> v90(constB191, bitIndex1)) | ((~v88(constB191, bitIndex2)) <=> v90(constB191, bitIndex2)) | ((~v88(constB191, bitIndex0)) <=> v90(constB191, bitIndex0))))),
% 8.58/6.50 inference(quant_inst,[status(thm)],[])).
% 8.58/6.50 tff(24454,plain,
% 8.58/6.50 (~(((~v88(constB191, bitIndex1)) <=> v90(constB191, bitIndex1)) | ((~v88(constB191, bitIndex2)) <=> v90(constB191, bitIndex2)) | ((~v88(constB191, bitIndex0)) <=> v90(constB191, bitIndex0)))),
% 8.58/6.50 inference(unit_resolution,[status(thm)],[24453, 428])).
% 8.58/6.50 tff(24455,plain,
% 8.58/6.50 ((((~v88(constB191, bitIndex1)) <=> v90(constB191, bitIndex1)) | ((~v88(constB191, bitIndex2)) <=> v90(constB191, bitIndex2)) | ((~v88(constB191, bitIndex0)) <=> v90(constB191, bitIndex0))) | (~((~v88(constB191, bitIndex2)) <=> v90(constB191, bitIndex2)))),
% 8.58/6.50 inference(tautology,[status(thm)],[])).
% 8.58/6.50 tff(24456,plain,
% 8.58/6.50 (~((~v88(constB191, bitIndex2)) <=> v90(constB191, bitIndex2))),
% 8.58/6.50 inference(unit_resolution,[status(thm)],[24455, 24454])).
% 8.58/6.50 tff(24457,plain,
% 8.58/6.50 (((~v88(constB191, bitIndex2)) <=> v90(constB191, bitIndex2)) | (~v88(constB191, bitIndex2)) | v90(constB191, bitIndex2)),
% 8.58/6.50 inference(tautology,[status(thm)],[])).
% 8.58/6.50 tff(24458,plain,
% 8.58/6.50 (~v88(constB191, bitIndex2)),
% 8.58/6.50 inference(unit_resolution,[status(thm)],[24457, 23617, 24456])).
% 8.58/6.50 tff(24459,plain,
% 8.58/6.50 ((((~v88(constB191, bitIndex1)) <=> v90(constB191, bitIndex1)) | ((~v88(constB191, bitIndex2)) <=> v90(constB191, bitIndex2)) | ((~v88(constB191, bitIndex0)) <=> v90(constB191, bitIndex0))) | (~((~v88(constB191, bitIndex0)) <=> v90(constB191, bitIndex0)))),
% 8.58/6.50 inference(tautology,[status(thm)],[])).
% 8.58/6.50 tff(24460,plain,
% 8.58/6.50 (~((~v88(constB191, bitIndex0)) <=> v90(constB191, bitIndex0))),
% 8.58/6.50 inference(unit_resolution,[status(thm)],[24459, 24454])).
% 8.58/6.50 tff(24461,plain,
% 8.58/6.50 (((~v88(constB191, bitIndex0)) <=> v90(constB191, bitIndex0)) | v88(constB191, bitIndex0) | (~v90(constB191, bitIndex0))),
% 8.58/6.50 inference(tautology,[status(thm)],[])).
% 8.58/6.50 tff(24462,plain,
% 8.58/6.50 (v88(constB191, bitIndex0)),
% 8.58/6.50 inference(unit_resolution,[status(thm)],[24461, 23635, 24460])).
% 8.58/6.50 tff(24463,plain,
% 8.58/6.50 ((((~v88(constB191, bitIndex1)) <=> v90(constB191, bitIndex1)) | ((~v88(constB191, bitIndex2)) <=> v90(constB191, bitIndex2)) | ((~v88(constB191, bitIndex0)) <=> v90(constB191, bitIndex0))) | (~((~v88(constB191, bitIndex1)) <=> v90(constB191, bitIndex1)))),
% 8.58/6.50 inference(tautology,[status(thm)],[])).
% 8.58/6.50 tff(24464,plain,
% 8.58/6.50 (~((~v88(constB191, bitIndex1)) <=> v90(constB191, bitIndex1))),
% 8.58/6.50 inference(unit_resolution,[status(thm)],[24463, 24454])).
% 8.58/6.50 tff(24465,plain,
% 8.58/6.50 (((~v88(constB191, bitIndex1)) <=> v90(constB191, bitIndex1)) | v88(constB191, bitIndex1) | (~v90(constB191, bitIndex1))),
% 8.58/6.50 inference(tautology,[status(thm)],[])).
% 8.58/6.50 tff(24466,plain,
% 8.58/6.50 (v88(constB191, bitIndex1)),
% 8.58/6.50 inference(unit_resolution,[status(thm)],[24465, 23653, 24464])).
% 8.58/6.50 tff(24467,plain,
% 8.58/6.50 ((~((~v88(constB191, bitIndex1)) | v88(constB191, bitIndex2) | (~v88(constB191, bitIndex0)))) | (~v88(constB191, bitIndex1)) | v88(constB191, bitIndex2) | (~v88(constB191, bitIndex0))),
% 8.58/6.50 inference(tautology,[status(thm)],[])).
% 8.58/6.50 tff(24468,plain,
% 8.58/6.50 (~((~v88(constB191, bitIndex1)) | v88(constB191, bitIndex2) | (~v88(constB191, bitIndex0)))),
% 8.58/6.50 inference(unit_resolution,[status(thm)],[24467, 24466, 24462, 24458])).
% 8.58/6.50 tff(24469,plain,
% 8.58/6.50 ((~(v141(constB191) <=> (~((~v88(constB191, bitIndex1)) | v88(constB191, bitIndex2) | (~v88(constB191, bitIndex0)))))) | v141(constB191) | ((~v88(constB191, bitIndex1)) | v88(constB191, bitIndex2) | (~v88(constB191, bitIndex0)))),
% 8.58/6.50 inference(tautology,[status(thm)],[])).
% 8.58/6.50 tff(24470,plain,
% 8.58/6.50 (v141(constB191)),
% 8.58/6.50 inference(unit_resolution,[status(thm)],[24469, 24468, 24452])).
% 8.58/6.50 tff(24471,plain,
% 8.58/6.50 ((v141(constB191) | v169(constB191)) | (~v141(constB191))),
% 8.58/6.50 inference(tautology,[status(thm)],[])).
% 8.58/6.50 tff(24472,plain,
% 8.58/6.50 (v141(constB191) | v169(constB191)),
% 8.58/6.50 inference(unit_resolution,[status(thm)],[24471, 24470])).
% 8.58/6.50 tff(24473,plain,
% 8.58/6.50 ((~(v168(constB191) <=> (v141(constB191) | v169(constB191)))) | v168(constB191) | (~(v141(constB191) | v169(constB191)))),
% 8.58/6.50 inference(tautology,[status(thm)],[])).
% 8.58/6.50 tff(24474,plain,
% 8.58/6.50 (v168(constB191)),
% 8.58/6.50 inference(unit_resolution,[status(thm)],[24473, 24472, 24445])).
% 8.58/6.50 tff(24475,plain,
% 8.58/6.50 ((v142(constB191) | v168(constB191)) | (~v168(constB191))),
% 8.58/6.50 inference(tautology,[status(thm)],[])).
% 8.58/6.50 tff(24476,plain,
% 8.58/6.50 (v142(constB191) | v168(constB191)),
% 8.58/6.50 inference(unit_resolution,[status(thm)],[24475, 24474])).
% 8.58/6.50 tff(24477,plain,
% 8.58/6.50 ((~(v167(constB191) <=> (v142(constB191) | v168(constB191)))) | v167(constB191) | (~(v142(constB191) | v168(constB191)))),
% 8.58/6.50 inference(tautology,[status(thm)],[])).
% 8.58/6.50 tff(24478,plain,
% 8.58/6.50 ((~(v167(constB191) <=> (v142(constB191) | v168(constB191)))) | v167(constB191)),
% 8.58/6.50 inference(unit_resolution,[status(thm)],[24477, 24476])).
% 8.58/6.50 tff(24479,plain,
% 8.58/6.50 (v167(constB191)),
% 8.58/6.50 inference(unit_resolution,[status(thm)],[24478, 24443])).
% 8.58/6.50 tff(24480,plain,
% 8.58/6.50 ((v145(constB191) | v167(constB191)) | (~v167(constB191))),
% 8.58/6.50 inference(tautology,[status(thm)],[])).
% 8.58/6.50 tff(24481,plain,
% 8.58/6.50 (v145(constB191) | v167(constB191)),
% 8.58/6.50 inference(unit_resolution,[status(thm)],[24480, 24479])).
% 8.58/6.50 tff(24482,plain,
% 8.58/6.50 ((~(v166(constB191) <=> (v145(constB191) | v167(constB191)))) | v166(constB191) | (~(v145(constB191) | v167(constB191)))),
% 8.58/6.50 inference(tautology,[status(thm)],[])).
% 8.58/6.50 tff(24483,plain,
% 8.58/6.50 (v166(constB191)),
% 8.58/6.50 inference(unit_resolution,[status(thm)],[24482, 24481, 24441])).
% 8.58/6.50 tff(24484,plain,
% 8.58/6.50 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB191)) | (v163(constB191) <=> v170(constB191)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB191)) | (v163(constB191) <=> v170(constB191)))),
% 8.58/6.50 inference(rewrite,[status(thm)],[])).
% 8.58/6.50 tff(24485,plain,
% 8.58/6.50 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB191)) | (v163(constB191) <=> v170(constB191)))),
% 8.58/6.50 inference(quant_inst,[status(thm)],[])).
% 8.58/6.50 tff(24486,plain,
% 8.58/6.50 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB191)) | (v163(constB191) <=> v170(constB191))),
% 8.58/6.50 inference(modus_ponens,[status(thm)],[24485, 24484])).
% 8.58/6.50 tff(24487,plain,
% 8.58/6.50 ((~v166(constB191)) | (v163(constB191) <=> v170(constB191))),
% 8.58/6.50 inference(unit_resolution,[status(thm)],[24486, 9851])).
% 8.58/6.50 tff(24488,plain,
% 8.58/6.50 (v163(constB191) <=> v170(constB191)),
% 8.58/6.50 inference(unit_resolution,[status(thm)],[24487, 24483])).
% 8.58/6.50 tff(24489,plain,
% 8.58/6.50 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB191) <=> (v142(constB191) | v150(constB191)))),
% 8.58/6.50 inference(quant_inst,[status(thm)],[])).
% 8.58/6.50 tff(24490,plain,
% 8.58/6.50 (v171(constB191) <=> (v142(constB191) | v150(constB191))),
% 8.58/6.50 inference(unit_resolution,[status(thm)],[24489, 9866])).
% 8.58/6.50 tff(24491,plain,
% 8.58/6.50 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v141(VarCurr) | v151(VarCurr)))) | (v150(constB191) <=> (v141(constB191) | v151(constB191)))),
% 8.58/6.50 inference(quant_inst,[status(thm)],[])).
% 8.58/6.50 tff(24492,plain,
% 8.58/6.50 (v150(constB191) <=> (v141(constB191) | v151(constB191))),
% 8.58/6.50 inference(unit_resolution,[status(thm)],[24491, 9878])).
% 8.58/6.50 tff(24493,plain,
% 8.58/6.50 ((v141(constB191) | v151(constB191)) | (~v141(constB191))),
% 8.58/6.50 inference(tautology,[status(thm)],[])).
% 8.58/6.50 tff(24494,plain,
% 8.58/6.50 (v141(constB191) | v151(constB191)),
% 8.58/6.50 inference(unit_resolution,[status(thm)],[24493, 24470])).
% 8.58/6.50 tff(24495,plain,
% 8.58/6.50 ((~(v150(constB191) <=> (v141(constB191) | v151(constB191)))) | v150(constB191) | (~(v141(constB191) | v151(constB191)))),
% 8.58/6.50 inference(tautology,[status(thm)],[])).
% 8.58/6.50 tff(24496,plain,
% 8.58/6.50 (v150(constB191)),
% 8.58/6.50 inference(unit_resolution,[status(thm)],[24495, 24494, 24492])).
% 8.58/6.50 tff(24497,plain,
% 8.58/6.50 ((v142(constB191) | v150(constB191)) | (~v150(constB191))),
% 8.58/6.50 inference(tautology,[status(thm)],[])).
% 8.58/6.50 tff(24498,plain,
% 8.58/6.50 (v142(constB191) | v150(constB191)),
% 8.58/6.50 inference(unit_resolution,[status(thm)],[24497, 24496])).
% 8.58/6.50 tff(24499,plain,
% 8.58/6.50 ((~(v171(constB191) <=> (v142(constB191) | v150(constB191)))) | v171(constB191) | (~(v142(constB191) | v150(constB191)))),
% 8.58/6.50 inference(tautology,[status(thm)],[])).
% 8.58/6.50 tff(24500,plain,
% 8.58/6.50 ((~(v171(constB191) <=> (v142(constB191) | v150(constB191)))) | v171(constB191)),
% 8.58/6.50 inference(unit_resolution,[status(thm)],[24499, 24498])).
% 8.58/6.50 tff(24501,plain,
% 8.58/6.50 (v171(constB191)),
% 8.58/6.50 inference(unit_resolution,[status(thm)],[24500, 24490])).
% 8.58/6.50 tff(24502,plain,
% 8.58/6.50 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB191)) | (~v171(constB191)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB191)) | (~v171(constB191)))),
% 8.58/6.50 inference(rewrite,[status(thm)],[])).
% 8.58/6.50 tff(24503,plain,
% 8.58/6.50 (((~v171(constB191)) | (~v170(constB191))) <=> ((~v170(constB191)) | (~v171(constB191)))),
% 8.58/6.50 inference(rewrite,[status(thm)],[])).
% 8.58/6.50 tff(24504,plain,
% 8.58/6.50 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB191)) | (~v170(constB191)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB191)) | (~v171(constB191))))),
% 8.58/6.50 inference(monotonicity,[status(thm)],[24503])).
% 8.58/6.50 tff(24505,plain,
% 8.58/6.50 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB191)) | (~v170(constB191)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB191)) | (~v171(constB191)))),
% 8.58/6.50 inference(transitivity,[status(thm)],[24504, 24502])).
% 8.58/6.50 tff(24506,plain,
% 8.58/6.50 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB191)) | (~v170(constB191)))),
% 8.58/6.50 inference(quant_inst,[status(thm)],[])).
% 8.58/6.50 tff(24507,plain,
% 8.58/6.50 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB191)) | (~v171(constB191))),
% 8.58/6.50 inference(modus_ponens,[status(thm)],[24506, 24505])).
% 8.58/6.50 tff(24508,plain,
% 8.58/6.50 (~v170(constB191)),
% 8.58/6.50 inference(unit_resolution,[status(thm)],[24507, 9899, 24501])).
% 8.58/6.50 tff(24509,plain,
% 8.58/6.50 ((~(v163(constB191) <=> v170(constB191))) | (~v163(constB191)) | v170(constB191)),
% 8.58/6.50 inference(tautology,[status(thm)],[])).
% 8.58/6.50 tff(24510,plain,
% 8.58/6.50 (~v163(constB191)),
% 8.58/6.50 inference(unit_resolution,[status(thm)],[24509, 24508, 24488])).
% 8.58/6.50 tff(24511,plain,
% 8.58/6.50 ((~(v161(constB191) <=> v163(constB191))) | (~v161(constB191)) | v163(constB191)),
% 8.58/6.50 inference(tautology,[status(thm)],[])).
% 8.58/6.50 tff(24512,plain,
% 8.58/6.50 (~v161(constB191)),
% 8.58/6.50 inference(unit_resolution,[status(thm)],[24511, 24510, 24439])).
% 8.58/6.50 tff(24513,plain,
% 8.58/6.50 (((~v159(constB191)) | (~v161(constB191))) | v161(constB191)),
% 8.58/6.50 inference(tautology,[status(thm)],[])).
% 8.58/6.50 tff(24514,plain,
% 8.58/6.50 ((~v159(constB191)) | (~v161(constB191))),
% 8.58/6.50 inference(unit_resolution,[status(thm)],[24513, 24512])).
% 8.58/6.50 tff(24515,plain,
% 8.58/6.50 ((~(v201(constB191) <=> (~((~v159(constB191)) | (~v161(constB191)))))) | (~v201(constB191)) | (~((~v159(constB191)) | (~v161(constB191))))),
% 8.58/6.50 inference(tautology,[status(thm)],[])).
% 8.58/6.50 tff(24516,plain,
% 8.58/6.50 (~v201(constB191)),
% 8.58/6.50 inference(unit_resolution,[status(thm)],[24515, 24514, 24437])).
% 8.58/6.50 tff(24517,plain,
% 8.58/6.50 (((~v197(constB191)) | (~v201(constB191))) | v201(constB191)),
% 8.58/6.50 inference(tautology,[status(thm)],[])).
% 8.58/6.50 tff(24518,plain,
% 8.58/6.50 ((~v197(constB191)) | (~v201(constB191))),
% 8.58/6.50 inference(unit_resolution,[status(thm)],[24517, 24516])).
% 8.58/6.50 tff(24519,plain,
% 8.58/6.50 ((~(v200(constB191) <=> (~((~v197(constB191)) | (~v201(constB191)))))) | (~v200(constB191)) | (~((~v197(constB191)) | (~v201(constB191))))),
% 8.58/6.50 inference(tautology,[status(thm)],[])).
% 8.58/6.50 tff(24520,plain,
% 8.58/6.50 (~v200(constB191)),
% 8.58/6.50 inference(unit_resolution,[status(thm)],[24519, 24518, 24435])).
% 8.58/6.50 tff(24521,plain,
% 8.58/6.50 (((~v199(constB191)) | (~v200(constB191))) | v200(constB191)),
% 8.58/6.50 inference(tautology,[status(thm)],[])).
% 8.58/6.50 tff(24522,plain,
% 8.58/6.50 ((~v199(constB191)) | (~v200(constB191))),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24521, 24520])).
% 8.58/6.51 tff(24523,plain,
% 8.58/6.51 ((~(v198(constB191) <=> (~((~v199(constB191)) | (~v200(constB191)))))) | (~v198(constB191)) | (~((~v199(constB191)) | (~v200(constB191))))),
% 8.58/6.51 inference(tautology,[status(thm)],[])).
% 8.58/6.51 tff(24524,plain,
% 8.58/6.51 (~v198(constB191)),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24523, 24522, 24433])).
% 8.58/6.51 tff(24525,plain,
% 8.58/6.51 ((~(v194(constB191) | v198(constB191))) | v194(constB191) | v198(constB191)),
% 8.58/6.51 inference(tautology,[status(thm)],[])).
% 8.58/6.51 tff(24526,plain,
% 8.58/6.51 (~(v194(constB191) | v198(constB191))),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24525, 24524, 24431])).
% 8.58/6.51 tff(24527,plain,
% 8.58/6.51 ((~(v191(constB191) <=> (v194(constB191) | v198(constB191)))) | (~v191(constB191)) | (v194(constB191) | v198(constB191))),
% 8.58/6.51 inference(tautology,[status(thm)],[])).
% 8.58/6.51 tff(24528,plain,
% 8.58/6.51 (~v191(constB191)),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24527, 24526, 24358])).
% 8.58/6.51 tff(24529,plain,
% 8.58/6.51 ((~(v193(constB192) <=> v191(constB191))) | (~v193(constB192)) | v191(constB191)),
% 8.58/6.51 inference(tautology,[status(thm)],[])).
% 8.58/6.51 tff(24530,plain,
% 8.58/6.51 (~v193(constB192)),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24529, 24528, 24356])).
% 8.58/6.51 tff(24531,plain,
% 8.58/6.51 ((~(v157(constB192) <=> v193(constB192))) | (~v157(constB192)) | v193(constB192)),
% 8.58/6.51 inference(tautology,[status(thm)],[])).
% 8.58/6.51 tff(24532,plain,
% 8.58/6.51 (~v157(constB192)),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24531, 24530, 24352])).
% 8.58/6.51 tff(24533,plain,
% 8.58/6.51 (((~v157(constB192)) | (~v195(constB192))) | v157(constB192)),
% 8.58/6.51 inference(tautology,[status(thm)],[])).
% 8.58/6.51 tff(24534,plain,
% 8.58/6.51 ((~v157(constB192)) | (~v195(constB192))),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24533, 24532])).
% 8.58/6.51 tff(24535,plain,
% 8.58/6.51 ((~(v194(constB192) <=> (~((~v157(constB192)) | (~v195(constB192)))))) | (~v194(constB192)) | (~((~v157(constB192)) | (~v195(constB192))))),
% 8.58/6.51 inference(tautology,[status(thm)],[])).
% 8.58/6.51 tff(24536,plain,
% 8.58/6.51 (~v194(constB192)),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24535, 24534, 24350])).
% 8.58/6.51 tff(24537,plain,
% 8.58/6.51 ((~(v194(constB192) | v198(constB192))) | v194(constB192) | v198(constB192)),
% 8.58/6.51 inference(tautology,[status(thm)],[])).
% 8.58/6.51 tff(24538,plain,
% 8.58/6.51 (~(v194(constB192) | v198(constB192))),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24537, 24536, 24343])).
% 8.58/6.51 tff(24539,plain,
% 8.58/6.51 ((~(v191(constB192) <=> (v194(constB192) | v198(constB192)))) | (~v191(constB192)) | (v194(constB192) | v198(constB192))),
% 8.58/6.51 inference(tautology,[status(thm)],[])).
% 8.58/6.51 tff(24540,plain,
% 8.58/6.51 (~v191(constB192)),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24539, 24538, 24318])).
% 8.58/6.51 tff(24541,plain,
% 8.58/6.51 ((~(v193(constB193) <=> v191(constB192))) | (~v193(constB193)) | v191(constB192)),
% 8.58/6.51 inference(tautology,[status(thm)],[])).
% 8.58/6.51 tff(24542,plain,
% 8.58/6.51 (~v193(constB193)),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24541, 24540, 24316])).
% 8.58/6.51 tff(24543,plain,
% 8.58/6.51 ($false),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24542, 24312])).
% 8.58/6.51 tff(24544,plain,(~(constB193 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.58/6.51 tff(24545,assumption,(constB81 = VarCurr!0), introduced(assumption)).
% 8.58/6.51 tff(24546,plain,
% 8.58/6.51 (v193(constB81) <=> v193(VarCurr!0)),
% 8.58/6.51 inference(monotonicity,[status(thm)],[24545])).
% 8.58/6.51 tff(24547,plain,
% 8.58/6.51 (v193(VarCurr!0) <=> v193(constB81)),
% 8.58/6.51 inference(symmetry,[status(thm)],[24546])).
% 8.58/6.51 tff(24548,plain,
% 8.58/6.51 (v193(constB81)),
% 8.58/6.51 inference(modus_ponens,[status(thm)],[59, 24547])).
% 8.58/6.51 tff(24549,plain,
% 8.58/6.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB80, constB81)) | (v193(constB81) <=> v191(constB80)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB80, constB81)) | (v193(constB81) <=> v191(constB80)))),
% 8.58/6.51 inference(rewrite,[status(thm)],[])).
% 8.58/6.51 tff(24550,plain,
% 8.58/6.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB80, constB81)) | (v193(constB81) <=> v191(constB80)))),
% 8.58/6.51 inference(quant_inst,[status(thm)],[])).
% 8.58/6.51 tff(24551,plain,
% 8.58/6.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB80, constB81)) | (v193(constB81) <=> v191(constB80))),
% 8.58/6.51 inference(modus_ponens,[status(thm)],[24550, 24549])).
% 8.58/6.51 tff(24552,plain,
% 8.58/6.51 (v193(constB81) <=> v191(constB80)),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24551, 448, 70])).
% 8.58/6.51 tff(24553,plain,
% 8.58/6.51 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB80) <=> (v194(constB80) | v198(constB80)))),
% 8.58/6.51 inference(quant_inst,[status(thm)],[])).
% 8.58/6.51 tff(24554,plain,
% 8.58/6.51 (v191(constB80) <=> (v194(constB80) | v198(constB80))),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24553, 84])).
% 8.58/6.51 tff(24555,plain,
% 8.58/6.51 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB80) <=> (~((~v199(constB80)) | (~v200(constB80)))))),
% 8.58/6.51 inference(quant_inst,[status(thm)],[])).
% 8.58/6.51 tff(24556,plain,
% 8.58/6.51 (v198(constB80) <=> (~((~v199(constB80)) | (~v200(constB80))))),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24555, 96])).
% 8.58/6.51 tff(24557,plain,
% 8.58/6.51 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB80) <=> (~((~v197(constB80)) | (~v201(constB80)))))),
% 8.58/6.51 inference(quant_inst,[status(thm)],[])).
% 8.58/6.51 tff(24558,plain,
% 8.58/6.51 (v200(constB80) <=> (~((~v197(constB80)) | (~v201(constB80))))),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24557, 108])).
% 8.58/6.51 tff(24559,plain,
% 8.58/6.51 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB80) <=> (~((~v39(constB80)) | (~v9(constB80)))))),
% 8.58/6.51 inference(quant_inst,[status(thm)],[])).
% 8.58/6.51 tff(24560,plain,
% 8.58/6.51 (v197(constB80) <=> (~((~v39(constB80)) | (~v9(constB80))))),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24559, 120])).
% 8.58/6.51 tff(24561,plain,
% 8.58/6.51 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB80)) <=> v1(constB80))),
% 8.58/6.51 inference(quant_inst,[status(thm)],[])).
% 8.58/6.51 tff(24562,plain,
% 8.58/6.51 ((~v39(constB80)) <=> v1(constB80)),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24561, 129])).
% 8.58/6.51 tff(24563,plain,
% 8.58/6.51 ((~((~v39(constB80)) <=> v1(constB80))) | (~v39(constB80)) | (~v1(constB80))),
% 8.58/6.51 inference(tautology,[status(thm)],[])).
% 8.58/6.51 tff(24564,plain,
% 8.58/6.51 ((~((~v39(constB80)) <=> v1(constB80))) | (~v39(constB80))),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24563, 9704])).
% 8.58/6.51 tff(24565,plain,
% 8.58/6.51 (~v39(constB80)),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24564, 24562])).
% 8.58/6.51 tff(24566,plain,
% 8.58/6.51 (((~v39(constB80)) | (~v9(constB80))) | v39(constB80)),
% 8.58/6.51 inference(tautology,[status(thm)],[])).
% 8.58/6.51 tff(24567,plain,
% 8.58/6.51 ((~v39(constB80)) | (~v9(constB80))),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24566, 24565])).
% 8.58/6.51 tff(24568,plain,
% 8.58/6.51 ((~(v197(constB80) <=> (~((~v39(constB80)) | (~v9(constB80)))))) | (~v197(constB80)) | (~((~v39(constB80)) | (~v9(constB80))))),
% 8.58/6.51 inference(tautology,[status(thm)],[])).
% 8.58/6.51 tff(24569,plain,
% 8.58/6.51 ((~(v197(constB80) <=> (~((~v39(constB80)) | (~v9(constB80)))))) | (~v197(constB80))),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24568, 24567])).
% 8.58/6.51 tff(24570,plain,
% 8.58/6.51 (~v197(constB80)),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24569, 24560])).
% 8.58/6.51 tff(24571,plain,
% 8.58/6.51 (((~v197(constB80)) | (~v201(constB80))) | v197(constB80)),
% 8.58/6.51 inference(tautology,[status(thm)],[])).
% 8.58/6.51 tff(24572,plain,
% 8.58/6.51 ((~v197(constB80)) | (~v201(constB80))),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24571, 24570])).
% 8.58/6.51 tff(24573,plain,
% 8.58/6.51 ((~(v200(constB80) <=> (~((~v197(constB80)) | (~v201(constB80)))))) | (~v200(constB80)) | (~((~v197(constB80)) | (~v201(constB80))))),
% 8.58/6.51 inference(tautology,[status(thm)],[])).
% 8.58/6.51 tff(24574,plain,
% 8.58/6.51 ((~(v200(constB80) <=> (~((~v197(constB80)) | (~v201(constB80)))))) | (~v200(constB80))),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24573, 24572])).
% 8.58/6.51 tff(24575,plain,
% 8.58/6.51 (~v200(constB80)),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24574, 24558])).
% 8.58/6.51 tff(24576,plain,
% 8.58/6.51 (((~v199(constB80)) | (~v200(constB80))) | v200(constB80)),
% 8.58/6.51 inference(tautology,[status(thm)],[])).
% 8.58/6.51 tff(24577,plain,
% 8.58/6.51 ((~v199(constB80)) | (~v200(constB80))),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24576, 24575])).
% 8.58/6.51 tff(24578,plain,
% 8.58/6.51 ((~(v198(constB80) <=> (~((~v199(constB80)) | (~v200(constB80)))))) | (~v198(constB80)) | (~((~v199(constB80)) | (~v200(constB80))))),
% 8.58/6.51 inference(tautology,[status(thm)],[])).
% 8.58/6.51 tff(24579,plain,
% 8.58/6.51 (~v198(constB80)),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24578, 24577, 24556])).
% 8.58/6.51 tff(24580,plain,
% 8.58/6.51 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB80) <=> (~((~v157(constB80)) | (~v195(constB80)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB80) <=> (~((~v157(constB80)) | (~v195(constB80))))))),
% 8.58/6.51 inference(rewrite,[status(thm)],[])).
% 8.58/6.51 tff(24581,plain,
% 8.58/6.51 ((v194(constB80) <=> (~((~v195(constB80)) | (~v157(constB80))))) <=> (v194(constB80) <=> (~((~v157(constB80)) | (~v195(constB80)))))),
% 8.58/6.51 inference(rewrite,[status(thm)],[])).
% 8.58/6.51 tff(24582,plain,
% 8.58/6.51 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB80) <=> (~((~v195(constB80)) | (~v157(constB80)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB80) <=> (~((~v157(constB80)) | (~v195(constB80))))))),
% 8.58/6.51 inference(monotonicity,[status(thm)],[24581])).
% 8.58/6.51 tff(24583,plain,
% 8.58/6.51 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB80) <=> (~((~v195(constB80)) | (~v157(constB80)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB80) <=> (~((~v157(constB80)) | (~v195(constB80))))))),
% 8.58/6.51 inference(transitivity,[status(thm)],[24582, 24580])).
% 8.58/6.51 tff(24584,plain,
% 8.58/6.51 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB80) <=> (~((~v195(constB80)) | (~v157(constB80)))))),
% 8.58/6.51 inference(quant_inst,[status(thm)],[])).
% 8.58/6.51 tff(24585,plain,
% 8.58/6.51 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB80) <=> (~((~v157(constB80)) | (~v195(constB80)))))),
% 8.58/6.51 inference(modus_ponens,[status(thm)],[24584, 24583])).
% 8.58/6.51 tff(24586,plain,
% 8.58/6.51 (v194(constB80) <=> (~((~v157(constB80)) | (~v195(constB80))))),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24585, 161])).
% 8.58/6.51 tff(24587,plain,
% 8.58/6.51 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB80) <=> v193(constB80))),
% 8.58/6.51 inference(quant_inst,[status(thm)],[])).
% 8.58/6.51 tff(24588,plain,
% 8.58/6.51 (v157(constB80) <=> v193(constB80)),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24587, 13])).
% 8.58/6.51 tff(24589,plain,
% 8.58/6.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB79, constB80)) | (v193(constB80) <=> v191(constB79)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB79, constB80)) | (v193(constB80) <=> v191(constB79)))),
% 8.58/6.51 inference(rewrite,[status(thm)],[])).
% 8.58/6.51 tff(24590,plain,
% 8.58/6.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB79, constB80)) | (v193(constB80) <=> v191(constB79)))),
% 8.58/6.51 inference(quant_inst,[status(thm)],[])).
% 8.58/6.51 tff(24591,plain,
% 8.58/6.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB79, constB80)) | (v193(constB80) <=> v191(constB79))),
% 8.58/6.51 inference(modus_ponens,[status(thm)],[24590, 24589])).
% 8.58/6.51 tff(24592,plain,
% 8.58/6.51 (v193(constB80) <=> v191(constB79)),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24591, 520, 70])).
% 8.58/6.51 tff(24593,plain,
% 8.58/6.51 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB79) <=> (v194(constB79) | v198(constB79)))),
% 8.58/6.51 inference(quant_inst,[status(thm)],[])).
% 8.58/6.51 tff(24594,plain,
% 8.58/6.51 (v191(constB79) <=> (v194(constB79) | v198(constB79))),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24593, 84])).
% 8.58/6.51 tff(24595,plain,
% 8.58/6.51 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB79) <=> (~((~v157(constB79)) | (~v195(constB79)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB79) <=> (~((~v157(constB79)) | (~v195(constB79))))))),
% 8.58/6.51 inference(rewrite,[status(thm)],[])).
% 8.58/6.51 tff(24596,plain,
% 8.58/6.51 ((v194(constB79) <=> (~((~v195(constB79)) | (~v157(constB79))))) <=> (v194(constB79) <=> (~((~v157(constB79)) | (~v195(constB79)))))),
% 8.58/6.51 inference(rewrite,[status(thm)],[])).
% 8.58/6.51 tff(24597,plain,
% 8.58/6.51 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB79) <=> (~((~v195(constB79)) | (~v157(constB79)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB79) <=> (~((~v157(constB79)) | (~v195(constB79))))))),
% 8.58/6.51 inference(monotonicity,[status(thm)],[24596])).
% 8.58/6.51 tff(24598,plain,
% 8.58/6.51 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB79) <=> (~((~v195(constB79)) | (~v157(constB79)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB79) <=> (~((~v157(constB79)) | (~v195(constB79))))))),
% 8.58/6.51 inference(transitivity,[status(thm)],[24597, 24595])).
% 8.58/6.51 tff(24599,plain,
% 8.58/6.51 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB79) <=> (~((~v195(constB79)) | (~v157(constB79)))))),
% 8.58/6.51 inference(quant_inst,[status(thm)],[])).
% 8.58/6.51 tff(24600,plain,
% 8.58/6.51 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB79) <=> (~((~v157(constB79)) | (~v195(constB79)))))),
% 8.58/6.51 inference(modus_ponens,[status(thm)],[24599, 24598])).
% 8.58/6.51 tff(24601,plain,
% 8.58/6.51 (v194(constB79) <=> (~((~v157(constB79)) | (~v195(constB79))))),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24600, 161])).
% 8.58/6.51 tff(24602,plain,
% 8.58/6.51 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB79)) <=> v196(constB79))),
% 8.58/6.51 inference(quant_inst,[status(thm)],[])).
% 8.58/6.51 tff(24603,plain,
% 8.58/6.51 ((~v195(constB79)) <=> v196(constB79)),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24602, 193])).
% 8.58/6.51 tff(24604,plain,
% 8.58/6.51 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB79) <=> (v197(constB79) | v26(constB79)))),
% 8.58/6.51 inference(quant_inst,[status(thm)],[])).
% 8.58/6.51 tff(24605,plain,
% 8.58/6.51 (v196(constB79) <=> (v197(constB79) | v26(constB79))),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24604, 202])).
% 8.58/6.51 tff(24606,plain,
% 8.58/6.51 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB79) <=> (~((~v39(constB79)) | (~v9(constB79)))))),
% 8.58/6.51 inference(quant_inst,[status(thm)],[])).
% 8.58/6.51 tff(24607,plain,
% 8.58/6.51 (v197(constB79) <=> (~((~v39(constB79)) | (~v9(constB79))))),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24606, 120])).
% 8.58/6.51 tff(24608,plain,
% 8.58/6.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB79, constB80)) | (v13(constB80) <=> v9(constB79)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB79, constB80)) | (v13(constB80) <=> v9(constB79)))),
% 8.58/6.51 inference(rewrite,[status(thm)],[])).
% 8.58/6.51 tff(24609,plain,
% 8.58/6.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB79, constB80)) | (v13(constB80) <=> v9(constB79)))),
% 8.58/6.51 inference(quant_inst,[status(thm)],[])).
% 8.58/6.51 tff(24610,plain,
% 8.58/6.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB79, constB80)) | (v13(constB80) <=> v9(constB79))),
% 8.58/6.51 inference(modus_ponens,[status(thm)],[24609, 24608])).
% 8.58/6.51 tff(24611,plain,
% 8.58/6.51 (v13(constB80) <=> v9(constB79)),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24610, 520, 216])).
% 8.58/6.51 tff(24612,plain,
% 8.58/6.51 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB80) <=> v13(constB80))),
% 8.58/6.51 inference(quant_inst,[status(thm)],[])).
% 8.58/6.51 tff(24613,plain,
% 8.58/6.51 (v6(constB80) <=> v13(constB80)),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24612, 230])).
% 8.58/6.51 tff(24614,plain,
% 8.58/6.51 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB80)) <=> v6(constB80))),
% 8.58/6.51 inference(quant_inst,[status(thm)],[])).
% 8.58/6.51 tff(24615,plain,
% 8.58/6.51 ((~v21(constB80)) <=> v6(constB80)),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24614, 239])).
% 8.58/6.51 tff(24616,plain,
% 8.58/6.51 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB80) <=> (v20(constB80) | v21(constB80)))),
% 8.58/6.51 inference(quant_inst,[status(thm)],[])).
% 8.58/6.51 tff(24617,plain,
% 8.58/6.51 (v19(constB80) <=> (v20(constB80) | v21(constB80))),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24616, 248])).
% 8.58/6.51 tff(24618,plain,
% 8.58/6.51 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB80) <=> (~((~v19(constB80)) | (~v22(constB80)))))),
% 8.58/6.51 inference(quant_inst,[status(thm)],[])).
% 8.58/6.51 tff(24619,plain,
% 8.58/6.51 (v18(constB80) <=> (~((~v19(constB80)) | (~v22(constB80))))),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24618, 260])).
% 8.58/6.51 tff(24620,plain,
% 8.58/6.51 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB80)) <=> v18(constB80))),
% 8.58/6.51 inference(quant_inst,[status(thm)],[])).
% 8.58/6.51 tff(24621,plain,
% 8.58/6.51 ((~v4(constB80)) <=> v18(constB80)),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24620, 269])).
% 8.58/6.51 tff(24622,plain,
% 8.58/6.51 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB80)),
% 8.58/6.51 inference(quant_inst,[status(thm)],[])).
% 8.58/6.51 tff(24623,plain,
% 8.58/6.51 (v4(constB80)),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24622, 278])).
% 8.58/6.51 tff(24624,plain,
% 8.58/6.51 ((~((~v4(constB80)) <=> v18(constB80))) | (~v4(constB80)) | (~v18(constB80))),
% 8.58/6.51 inference(tautology,[status(thm)],[])).
% 8.58/6.51 tff(24625,plain,
% 8.58/6.51 (~v18(constB80)),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24624, 24623, 24621])).
% 8.58/6.51 tff(24626,plain,
% 8.58/6.51 ((~(v18(constB80) <=> (~((~v19(constB80)) | (~v22(constB80)))))) | v18(constB80) | ((~v19(constB80)) | (~v22(constB80)))),
% 8.58/6.51 inference(tautology,[status(thm)],[])).
% 8.58/6.51 tff(24627,plain,
% 8.58/6.51 ((~v19(constB80)) | (~v22(constB80))),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24626, 24625, 24619])).
% 8.58/6.51 tff(24628,plain,
% 8.58/6.51 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB80) <=> (v1(constB80) | v6(constB80)))),
% 8.58/6.51 inference(quant_inst,[status(thm)],[])).
% 8.58/6.51 tff(24629,plain,
% 8.58/6.51 (v22(constB80) <=> (v1(constB80) | v6(constB80))),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24628, 291])).
% 8.58/6.51 tff(24630,plain,
% 8.58/6.51 ((v1(constB80) | v6(constB80)) | (~v1(constB80))),
% 8.58/6.51 inference(tautology,[status(thm)],[])).
% 8.58/6.51 tff(24631,plain,
% 8.58/6.51 (v1(constB80) | v6(constB80)),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24630, 9704])).
% 8.58/6.51 tff(24632,plain,
% 8.58/6.51 ((~(v22(constB80) <=> (v1(constB80) | v6(constB80)))) | v22(constB80) | (~(v1(constB80) | v6(constB80)))),
% 8.58/6.51 inference(tautology,[status(thm)],[])).
% 8.58/6.51 tff(24633,plain,
% 8.58/6.51 ((~(v22(constB80) <=> (v1(constB80) | v6(constB80)))) | v22(constB80)),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24632, 24631])).
% 8.58/6.51 tff(24634,plain,
% 8.58/6.51 (v22(constB80)),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24633, 24629])).
% 8.58/6.51 tff(24635,plain,
% 8.58/6.51 ((~((~v19(constB80)) | (~v22(constB80)))) | (~v19(constB80)) | (~v22(constB80))),
% 8.58/6.51 inference(tautology,[status(thm)],[])).
% 8.58/6.51 tff(24636,plain,
% 8.58/6.51 ((~((~v19(constB80)) | (~v22(constB80)))) | (~v19(constB80))),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24635, 24634])).
% 8.58/6.51 tff(24637,plain,
% 8.58/6.51 (~v19(constB80)),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24636, 24627])).
% 8.58/6.51 tff(24638,plain,
% 8.58/6.51 ((~(v19(constB80) <=> (v20(constB80) | v21(constB80)))) | v19(constB80) | (~(v20(constB80) | v21(constB80)))),
% 8.58/6.51 inference(tautology,[status(thm)],[])).
% 8.58/6.51 tff(24639,plain,
% 8.58/6.51 (~(v20(constB80) | v21(constB80))),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24638, 24637, 24617])).
% 8.58/6.51 tff(24640,plain,
% 8.58/6.51 ((v20(constB80) | v21(constB80)) | (~v21(constB80))),
% 8.58/6.51 inference(tautology,[status(thm)],[])).
% 8.58/6.51 tff(24641,plain,
% 8.58/6.51 (~v21(constB80)),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24640, 24639])).
% 8.58/6.51 tff(24642,plain,
% 8.58/6.51 ((~((~v21(constB80)) <=> v6(constB80))) | v21(constB80) | v6(constB80)),
% 8.58/6.51 inference(tautology,[status(thm)],[])).
% 8.58/6.51 tff(24643,plain,
% 8.58/6.51 (v6(constB80)),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24642, 24641, 24615])).
% 8.58/6.51 tff(24644,plain,
% 8.58/6.51 ((~(v6(constB80) <=> v13(constB80))) | (~v6(constB80)) | v13(constB80)),
% 8.58/6.51 inference(tautology,[status(thm)],[])).
% 8.58/6.51 tff(24645,plain,
% 8.58/6.51 (v13(constB80)),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24644, 24643, 24613])).
% 8.58/6.51 tff(24646,plain,
% 8.58/6.51 ((~(v13(constB80) <=> v9(constB79))) | (~v13(constB80)) | v9(constB79)),
% 8.58/6.51 inference(tautology,[status(thm)],[])).
% 8.58/6.51 tff(24647,plain,
% 8.58/6.51 (v9(constB79)),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24646, 24645, 24611])).
% 8.58/6.51 tff(24648,plain,
% 8.58/6.51 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB79)) <=> v1(constB79))),
% 8.58/6.51 inference(quant_inst,[status(thm)],[])).
% 8.58/6.51 tff(24649,plain,
% 8.58/6.51 ((~v39(constB79)) <=> v1(constB79)),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24648, 129])).
% 8.58/6.51 tff(24650,plain,
% 8.58/6.51 ((~((~v39(constB79)) <=> v1(constB79))) | v39(constB79) | v1(constB79)),
% 8.58/6.51 inference(tautology,[status(thm)],[])).
% 8.58/6.51 tff(24651,plain,
% 8.58/6.51 ((~((~v39(constB79)) <=> v1(constB79))) | v39(constB79)),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24650, 610])).
% 8.58/6.51 tff(24652,plain,
% 8.58/6.51 (v39(constB79)),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24651, 24649])).
% 8.58/6.51 tff(24653,plain,
% 8.58/6.51 ((~((~v39(constB79)) | (~v9(constB79)))) | (~v39(constB79)) | (~v9(constB79))),
% 8.58/6.51 inference(tautology,[status(thm)],[])).
% 8.58/6.51 tff(24654,plain,
% 8.58/6.51 ((~((~v39(constB79)) | (~v9(constB79)))) | (~v9(constB79))),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24653, 24652])).
% 8.58/6.51 tff(24655,plain,
% 8.58/6.51 (~((~v39(constB79)) | (~v9(constB79)))),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24654, 24647])).
% 8.58/6.51 tff(24656,plain,
% 8.58/6.51 ((~(v197(constB79) <=> (~((~v39(constB79)) | (~v9(constB79)))))) | v197(constB79) | ((~v39(constB79)) | (~v9(constB79)))),
% 8.58/6.51 inference(tautology,[status(thm)],[])).
% 8.58/6.51 tff(24657,plain,
% 8.58/6.51 (v197(constB79)),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24656, 24655, 24607])).
% 8.58/6.51 tff(24658,plain,
% 8.58/6.51 ((v197(constB79) | v26(constB79)) | (~v197(constB79))),
% 8.58/6.51 inference(tautology,[status(thm)],[])).
% 8.58/6.51 tff(24659,plain,
% 8.58/6.51 (v197(constB79) | v26(constB79)),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24658, 24657])).
% 8.58/6.51 tff(24660,plain,
% 8.58/6.51 ((~(v196(constB79) <=> (v197(constB79) | v26(constB79)))) | v196(constB79) | (~(v197(constB79) | v26(constB79)))),
% 8.58/6.51 inference(tautology,[status(thm)],[])).
% 8.58/6.51 tff(24661,plain,
% 8.58/6.51 (v196(constB79)),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24660, 24659, 24605])).
% 8.58/6.51 tff(24662,plain,
% 8.58/6.51 ((~((~v195(constB79)) <=> v196(constB79))) | (~v195(constB79)) | (~v196(constB79))),
% 8.58/6.51 inference(tautology,[status(thm)],[])).
% 8.58/6.51 tff(24663,plain,
% 8.58/6.51 (~v195(constB79)),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24662, 24661, 24603])).
% 8.58/6.51 tff(24664,plain,
% 8.58/6.51 (((~v157(constB79)) | (~v195(constB79))) | v195(constB79)),
% 8.58/6.51 inference(tautology,[status(thm)],[])).
% 8.58/6.51 tff(24665,plain,
% 8.58/6.51 ((~v157(constB79)) | (~v195(constB79))),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24664, 24663])).
% 8.58/6.51 tff(24666,plain,
% 8.58/6.51 ((~(v194(constB79) <=> (~((~v157(constB79)) | (~v195(constB79)))))) | (~v194(constB79)) | (~((~v157(constB79)) | (~v195(constB79))))),
% 8.58/6.51 inference(tautology,[status(thm)],[])).
% 8.58/6.51 tff(24667,plain,
% 8.58/6.51 (~v194(constB79)),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24666, 24665, 24601])).
% 8.58/6.51 tff(24668,plain,
% 8.58/6.51 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB79) <=> (~((~v199(constB79)) | (~v200(constB79)))))),
% 8.58/6.51 inference(quant_inst,[status(thm)],[])).
% 8.58/6.51 tff(24669,plain,
% 8.58/6.51 (v198(constB79) <=> (~((~v199(constB79)) | (~v200(constB79))))),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24668, 96])).
% 8.58/6.51 tff(24670,plain,
% 8.58/6.51 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB79) <=> (~((~v197(constB79)) | (~v201(constB79)))))),
% 8.58/6.51 inference(quant_inst,[status(thm)],[])).
% 8.58/6.51 tff(24671,plain,
% 8.58/6.51 (v200(constB79) <=> (~((~v197(constB79)) | (~v201(constB79))))),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24670, 108])).
% 8.58/6.51 tff(24672,plain,
% 8.58/6.51 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB79) <=> (~((~v159(constB79)) | (~v161(constB79)))))),
% 8.58/6.51 inference(quant_inst,[status(thm)],[])).
% 8.58/6.51 tff(24673,plain,
% 8.58/6.51 (v201(constB79) <=> (~((~v159(constB79)) | (~v161(constB79))))),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24672, 348])).
% 8.58/6.51 tff(24674,plain,
% 8.58/6.51 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB79) <=> v163(constB79))),
% 8.58/6.51 inference(quant_inst,[status(thm)],[])).
% 8.58/6.51 tff(24675,plain,
% 8.58/6.51 (v161(constB79) <=> v163(constB79)),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24674, 357])).
% 8.58/6.51 tff(24676,plain,
% 8.58/6.51 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB79) <=> (v145(constB79) | v167(constB79)))),
% 8.58/6.51 inference(quant_inst,[status(thm)],[])).
% 8.58/6.51 tff(24677,plain,
% 8.58/6.51 (v166(constB79) <=> (v145(constB79) | v167(constB79))),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24676, 369])).
% 8.58/6.51 tff(24678,plain,
% 8.58/6.51 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB79) <=> (v142(constB79) | v168(constB79)))),
% 8.58/6.51 inference(quant_inst,[status(thm)],[])).
% 8.58/6.51 tff(24679,plain,
% 8.58/6.51 (v167(constB79) <=> (v142(constB79) | v168(constB79))),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24678, 381])).
% 8.58/6.51 tff(24680,plain,
% 8.58/6.51 ((v142(constB79) | v168(constB79)) | (~v142(constB79))),
% 8.58/6.51 inference(tautology,[status(thm)],[])).
% 8.58/6.51 tff(24681,plain,
% 8.58/6.51 (v142(constB79) | v168(constB79)),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24680, 14799])).
% 8.58/6.51 tff(24682,plain,
% 8.58/6.51 ((~(v167(constB79) <=> (v142(constB79) | v168(constB79)))) | v167(constB79) | (~(v142(constB79) | v168(constB79)))),
% 8.58/6.51 inference(tautology,[status(thm)],[])).
% 8.58/6.51 tff(24683,plain,
% 8.58/6.51 ((~(v167(constB79) <=> (v142(constB79) | v168(constB79)))) | v167(constB79)),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24682, 24681])).
% 8.58/6.51 tff(24684,plain,
% 8.58/6.51 (v167(constB79)),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24683, 24679])).
% 8.58/6.51 tff(24685,plain,
% 8.58/6.51 ((v145(constB79) | v167(constB79)) | (~v167(constB79))),
% 8.58/6.51 inference(tautology,[status(thm)],[])).
% 8.58/6.51 tff(24686,plain,
% 8.58/6.51 (v145(constB79) | v167(constB79)),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24685, 24684])).
% 8.58/6.51 tff(24687,plain,
% 8.58/6.51 ((~(v166(constB79) <=> (v145(constB79) | v167(constB79)))) | v166(constB79) | (~(v145(constB79) | v167(constB79)))),
% 8.58/6.51 inference(tautology,[status(thm)],[])).
% 8.58/6.51 tff(24688,plain,
% 8.58/6.51 (v166(constB79)),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24687, 24686, 24677])).
% 8.58/6.51 tff(24689,plain,
% 8.58/6.51 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB79)) | (v163(constB79) <=> v170(constB79)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB79)) | (v163(constB79) <=> v170(constB79)))),
% 8.58/6.51 inference(rewrite,[status(thm)],[])).
% 8.58/6.51 tff(24690,plain,
% 8.58/6.51 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB79)) | (v163(constB79) <=> v170(constB79)))),
% 8.58/6.51 inference(quant_inst,[status(thm)],[])).
% 8.58/6.51 tff(24691,plain,
% 8.58/6.51 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB79)) | (v163(constB79) <=> v170(constB79))),
% 8.58/6.51 inference(modus_ponens,[status(thm)],[24690, 24689])).
% 8.58/6.51 tff(24692,plain,
% 8.58/6.51 ((~v166(constB79)) | (v163(constB79) <=> v170(constB79))),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24691, 9851])).
% 8.58/6.51 tff(24693,plain,
% 8.58/6.51 (v163(constB79) <=> v170(constB79)),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24692, 24688])).
% 8.58/6.51 tff(24694,plain,
% 8.58/6.51 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB79) <=> (v142(constB79) | v150(constB79)))),
% 8.58/6.51 inference(quant_inst,[status(thm)],[])).
% 8.58/6.51 tff(24695,plain,
% 8.58/6.51 (v171(constB79) <=> (v142(constB79) | v150(constB79))),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24694, 9866])).
% 8.58/6.51 tff(24696,plain,
% 8.58/6.51 ((v142(constB79) | v150(constB79)) | (~v142(constB79))),
% 8.58/6.51 inference(tautology,[status(thm)],[])).
% 8.58/6.51 tff(24697,plain,
% 8.58/6.51 (v142(constB79) | v150(constB79)),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24696, 14799])).
% 8.58/6.51 tff(24698,plain,
% 8.58/6.51 ((~(v171(constB79) <=> (v142(constB79) | v150(constB79)))) | v171(constB79) | (~(v142(constB79) | v150(constB79)))),
% 8.58/6.51 inference(tautology,[status(thm)],[])).
% 8.58/6.51 tff(24699,plain,
% 8.58/6.51 ((~(v171(constB79) <=> (v142(constB79) | v150(constB79)))) | v171(constB79)),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24698, 24697])).
% 8.58/6.51 tff(24700,plain,
% 8.58/6.51 (v171(constB79)),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24699, 24695])).
% 8.58/6.51 tff(24701,plain,
% 8.58/6.51 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB79)) | (~v171(constB79)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB79)) | (~v171(constB79)))),
% 8.58/6.51 inference(rewrite,[status(thm)],[])).
% 8.58/6.51 tff(24702,plain,
% 8.58/6.51 (((~v171(constB79)) | (~v170(constB79))) <=> ((~v170(constB79)) | (~v171(constB79)))),
% 8.58/6.51 inference(rewrite,[status(thm)],[])).
% 8.58/6.51 tff(24703,plain,
% 8.58/6.51 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB79)) | (~v170(constB79)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB79)) | (~v171(constB79))))),
% 8.58/6.51 inference(monotonicity,[status(thm)],[24702])).
% 8.58/6.51 tff(24704,plain,
% 8.58/6.51 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB79)) | (~v170(constB79)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB79)) | (~v171(constB79)))),
% 8.58/6.51 inference(transitivity,[status(thm)],[24703, 24701])).
% 8.58/6.51 tff(24705,plain,
% 8.58/6.51 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB79)) | (~v170(constB79)))),
% 8.58/6.51 inference(quant_inst,[status(thm)],[])).
% 8.58/6.51 tff(24706,plain,
% 8.58/6.51 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB79)) | (~v171(constB79))),
% 8.58/6.51 inference(modus_ponens,[status(thm)],[24705, 24704])).
% 8.58/6.51 tff(24707,plain,
% 8.58/6.51 (~v170(constB79)),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24706, 9899, 24700])).
% 8.58/6.51 tff(24708,plain,
% 8.58/6.51 ((~(v163(constB79) <=> v170(constB79))) | (~v163(constB79)) | v170(constB79)),
% 8.58/6.51 inference(tautology,[status(thm)],[])).
% 8.58/6.51 tff(24709,plain,
% 8.58/6.51 (~v163(constB79)),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24708, 24707, 24693])).
% 8.58/6.51 tff(24710,plain,
% 8.58/6.51 ((~(v161(constB79) <=> v163(constB79))) | (~v161(constB79)) | v163(constB79)),
% 8.58/6.51 inference(tautology,[status(thm)],[])).
% 8.58/6.51 tff(24711,plain,
% 8.58/6.51 (~v161(constB79)),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24710, 24709, 24675])).
% 8.58/6.51 tff(24712,plain,
% 8.58/6.51 (((~v159(constB79)) | (~v161(constB79))) | v161(constB79)),
% 8.58/6.51 inference(tautology,[status(thm)],[])).
% 8.58/6.51 tff(24713,plain,
% 8.58/6.51 ((~v159(constB79)) | (~v161(constB79))),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24712, 24711])).
% 8.58/6.51 tff(24714,plain,
% 8.58/6.51 ((~(v201(constB79) <=> (~((~v159(constB79)) | (~v161(constB79)))))) | (~v201(constB79)) | (~((~v159(constB79)) | (~v161(constB79))))),
% 8.58/6.51 inference(tautology,[status(thm)],[])).
% 8.58/6.51 tff(24715,plain,
% 8.58/6.51 (~v201(constB79)),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24714, 24713, 24673])).
% 8.58/6.51 tff(24716,plain,
% 8.58/6.51 (((~v197(constB79)) | (~v201(constB79))) | v201(constB79)),
% 8.58/6.51 inference(tautology,[status(thm)],[])).
% 8.58/6.51 tff(24717,plain,
% 8.58/6.51 ((~v197(constB79)) | (~v201(constB79))),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24716, 24715])).
% 8.58/6.51 tff(24718,plain,
% 8.58/6.51 ((~(v200(constB79) <=> (~((~v197(constB79)) | (~v201(constB79)))))) | (~v200(constB79)) | (~((~v197(constB79)) | (~v201(constB79))))),
% 8.58/6.51 inference(tautology,[status(thm)],[])).
% 8.58/6.51 tff(24719,plain,
% 8.58/6.51 (~v200(constB79)),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24718, 24717, 24671])).
% 8.58/6.51 tff(24720,plain,
% 8.58/6.51 (((~v199(constB79)) | (~v200(constB79))) | v200(constB79)),
% 8.58/6.51 inference(tautology,[status(thm)],[])).
% 8.58/6.51 tff(24721,plain,
% 8.58/6.51 ((~v199(constB79)) | (~v200(constB79))),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24720, 24719])).
% 8.58/6.51 tff(24722,plain,
% 8.58/6.51 ((~(v198(constB79) <=> (~((~v199(constB79)) | (~v200(constB79)))))) | (~v198(constB79)) | (~((~v199(constB79)) | (~v200(constB79))))),
% 8.58/6.51 inference(tautology,[status(thm)],[])).
% 8.58/6.51 tff(24723,plain,
% 8.58/6.51 (~v198(constB79)),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24722, 24721, 24669])).
% 8.58/6.51 tff(24724,plain,
% 8.58/6.51 ((~(v194(constB79) | v198(constB79))) | v194(constB79) | v198(constB79)),
% 8.58/6.51 inference(tautology,[status(thm)],[])).
% 8.58/6.51 tff(24725,plain,
% 8.58/6.51 (~(v194(constB79) | v198(constB79))),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24724, 24723, 24667])).
% 8.58/6.51 tff(24726,plain,
% 8.58/6.51 ((~(v191(constB79) <=> (v194(constB79) | v198(constB79)))) | (~v191(constB79)) | (v194(constB79) | v198(constB79))),
% 8.58/6.51 inference(tautology,[status(thm)],[])).
% 8.58/6.51 tff(24727,plain,
% 8.58/6.51 (~v191(constB79)),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24726, 24725, 24594])).
% 8.58/6.51 tff(24728,plain,
% 8.58/6.51 ((~(v193(constB80) <=> v191(constB79))) | (~v193(constB80)) | v191(constB79)),
% 8.58/6.51 inference(tautology,[status(thm)],[])).
% 8.58/6.51 tff(24729,plain,
% 8.58/6.51 (~v193(constB80)),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24728, 24727, 24592])).
% 8.58/6.51 tff(24730,plain,
% 8.58/6.51 ((~(v157(constB80) <=> v193(constB80))) | (~v157(constB80)) | v193(constB80)),
% 8.58/6.51 inference(tautology,[status(thm)],[])).
% 8.58/6.51 tff(24731,plain,
% 8.58/6.51 (~v157(constB80)),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24730, 24729, 24588])).
% 8.58/6.51 tff(24732,plain,
% 8.58/6.51 (((~v157(constB80)) | (~v195(constB80))) | v157(constB80)),
% 8.58/6.51 inference(tautology,[status(thm)],[])).
% 8.58/6.51 tff(24733,plain,
% 8.58/6.51 ((~v157(constB80)) | (~v195(constB80))),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24732, 24731])).
% 8.58/6.51 tff(24734,plain,
% 8.58/6.51 ((~(v194(constB80) <=> (~((~v157(constB80)) | (~v195(constB80)))))) | (~v194(constB80)) | (~((~v157(constB80)) | (~v195(constB80))))),
% 8.58/6.51 inference(tautology,[status(thm)],[])).
% 8.58/6.51 tff(24735,plain,
% 8.58/6.51 (~v194(constB80)),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24734, 24733, 24586])).
% 8.58/6.51 tff(24736,plain,
% 8.58/6.51 ((~(v194(constB80) | v198(constB80))) | v194(constB80) | v198(constB80)),
% 8.58/6.51 inference(tautology,[status(thm)],[])).
% 8.58/6.51 tff(24737,plain,
% 8.58/6.51 (~(v194(constB80) | v198(constB80))),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24736, 24735, 24579])).
% 8.58/6.51 tff(24738,plain,
% 8.58/6.51 ((~(v191(constB80) <=> (v194(constB80) | v198(constB80)))) | (~v191(constB80)) | (v194(constB80) | v198(constB80))),
% 8.58/6.51 inference(tautology,[status(thm)],[])).
% 8.58/6.51 tff(24739,plain,
% 8.58/6.51 (~v191(constB80)),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24738, 24737, 24554])).
% 8.58/6.51 tff(24740,plain,
% 8.58/6.51 ((~(v193(constB81) <=> v191(constB80))) | (~v193(constB81)) | v191(constB80)),
% 8.58/6.51 inference(tautology,[status(thm)],[])).
% 8.58/6.51 tff(24741,plain,
% 8.58/6.51 (~v193(constB81)),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24740, 24739, 24552])).
% 8.58/6.51 tff(24742,plain,
% 8.58/6.51 ($false),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24741, 24548])).
% 8.58/6.51 tff(24743,plain,(~(constB81 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.58/6.51 tff(24744,assumption,(constB165 = VarCurr!0), introduced(assumption)).
% 8.58/6.51 tff(24745,plain,
% 8.58/6.51 (v86(constB165) <=> v86(VarCurr!0)),
% 8.58/6.51 inference(monotonicity,[status(thm)],[24744])).
% 8.58/6.51 tff(24746,plain,
% 8.58/6.51 (v86(VarCurr!0) <=> v86(constB165)),
% 8.58/6.51 inference(symmetry,[status(thm)],[24745])).
% 8.58/6.51 tff(24747,plain,
% 8.58/6.51 ((~v86(VarCurr!0)) <=> (~v86(constB165))),
% 8.58/6.51 inference(monotonicity,[status(thm)],[24746])).
% 8.58/6.51 tff(24748,plain,
% 8.58/6.51 (~v86(constB165)),
% 8.58/6.51 inference(modus_ponens,[status(thm)],[14736, 24747])).
% 8.58/6.51 tff(24749,plain,
% 8.58/6.51 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB165) <=> (v136(constB165) | v145(constB165)))),
% 8.58/6.51 inference(quant_inst,[status(thm)],[])).
% 8.58/6.51 tff(24750,plain,
% 8.58/6.51 (v135(constB165) <=> (v136(constB165) | v145(constB165))),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24749, 14744])).
% 8.58/6.51 tff(24751,plain,
% 8.58/6.51 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB165) <=> (v137(constB165) | v142(constB165)))),
% 8.58/6.51 inference(quant_inst,[status(thm)],[])).
% 8.58/6.51 tff(24752,plain,
% 8.58/6.51 (v136(constB165) <=> (v137(constB165) | v142(constB165))),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24751, 14753])).
% 8.58/6.51 tff(24753,plain,
% 8.58/6.51 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB165) <=> (v143(constB165) | v144(constB165)))),
% 8.58/6.51 inference(quant_inst,[status(thm)],[])).
% 8.58/6.51 tff(24754,plain,
% 8.58/6.51 (v142(constB165) <=> (v143(constB165) | v144(constB165))),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24753, 10332])).
% 8.58/6.51 tff(24755,plain,
% 8.58/6.51 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB165) <=> (~((~v88(constB165, bitIndex1)) | (~v88(constB165, bitIndex2)) | v88(constB165, bitIndex0))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB165) <=> (~((~v88(constB165, bitIndex1)) | (~v88(constB165, bitIndex2)) | v88(constB165, bitIndex0)))))),
% 8.58/6.51 inference(rewrite,[status(thm)],[])).
% 8.58/6.51 tff(24756,plain,
% 8.58/6.51 ((v144(constB165) <=> (~(v88(constB165, bitIndex0) | (~v88(constB165, bitIndex1)) | (~v88(constB165, bitIndex2))))) <=> (v144(constB165) <=> (~((~v88(constB165, bitIndex1)) | (~v88(constB165, bitIndex2)) | v88(constB165, bitIndex0))))),
% 8.58/6.51 inference(rewrite,[status(thm)],[])).
% 8.58/6.51 tff(24757,plain,
% 8.58/6.51 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB165) <=> (~(v88(constB165, bitIndex0) | (~v88(constB165, bitIndex1)) | (~v88(constB165, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB165) <=> (~((~v88(constB165, bitIndex1)) | (~v88(constB165, bitIndex2)) | v88(constB165, bitIndex0)))))),
% 8.58/6.51 inference(monotonicity,[status(thm)],[24756])).
% 8.58/6.51 tff(24758,plain,
% 8.58/6.51 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB165) <=> (~(v88(constB165, bitIndex0) | (~v88(constB165, bitIndex1)) | (~v88(constB165, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB165) <=> (~((~v88(constB165, bitIndex1)) | (~v88(constB165, bitIndex2)) | v88(constB165, bitIndex0)))))),
% 8.58/6.51 inference(transitivity,[status(thm)],[24757, 24755])).
% 8.58/6.51 tff(24759,plain,
% 8.58/6.51 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB165) <=> (~(v88(constB165, bitIndex0) | (~v88(constB165, bitIndex1)) | (~v88(constB165, bitIndex2)))))),
% 8.58/6.51 inference(quant_inst,[status(thm)],[])).
% 8.58/6.51 tff(24760,plain,
% 8.58/6.51 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB165) <=> (~((~v88(constB165, bitIndex1)) | (~v88(constB165, bitIndex2)) | v88(constB165, bitIndex0))))),
% 8.58/6.51 inference(modus_ponens,[status(thm)],[24759, 24758])).
% 8.58/6.51 tff(24761,plain,
% 8.58/6.51 (v144(constB165) <=> (~((~v88(constB165, bitIndex1)) | (~v88(constB165, bitIndex2)) | v88(constB165, bitIndex0)))),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24760, 10347])).
% 8.58/6.51 tff(24762,plain,
% 8.58/6.51 ((~![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))) | (~(((~v88(constB165, bitIndex1)) <=> v90(constB165, bitIndex1)) | ((~v88(constB165, bitIndex2)) <=> v90(constB165, bitIndex2)) | ((~v88(constB165, bitIndex0)) <=> v90(constB165, bitIndex0))))),
% 8.58/6.51 inference(quant_inst,[status(thm)],[])).
% 8.58/6.51 tff(24763,plain,
% 8.58/6.51 (~(((~v88(constB165, bitIndex1)) <=> v90(constB165, bitIndex1)) | ((~v88(constB165, bitIndex2)) <=> v90(constB165, bitIndex2)) | ((~v88(constB165, bitIndex0)) <=> v90(constB165, bitIndex0)))),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24762, 428])).
% 8.58/6.51 tff(24764,plain,
% 8.58/6.51 ((((~v88(constB165, bitIndex1)) <=> v90(constB165, bitIndex1)) | ((~v88(constB165, bitIndex2)) <=> v90(constB165, bitIndex2)) | ((~v88(constB165, bitIndex0)) <=> v90(constB165, bitIndex0))) | (~((~v88(constB165, bitIndex2)) <=> v90(constB165, bitIndex2)))),
% 8.58/6.51 inference(tautology,[status(thm)],[])).
% 8.58/6.51 tff(24765,plain,
% 8.58/6.51 (~((~v88(constB165, bitIndex2)) <=> v90(constB165, bitIndex2))),
% 8.58/6.51 inference(unit_resolution,[status(thm)],[24764, 24763])).
% 8.58/6.51 tff(24766,plain,
% 8.58/6.51 (((~v88(constB165, bitIndex2)) <=> v90(constB165, bitIndex2)) | v88(constB165, bitIndex2) | (~v90(constB165, bitIndex2))),
% 8.58/6.52 inference(tautology,[status(thm)],[])).
% 8.58/6.52 tff(24767,plain,
% 8.58/6.52 (v88(constB165, bitIndex2)),
% 8.58/6.52 inference(unit_resolution,[status(thm)],[24766, 21509, 24765])).
% 8.58/6.52 tff(24768,plain,
% 8.58/6.52 ((((~v88(constB165, bitIndex1)) <=> v90(constB165, bitIndex1)) | ((~v88(constB165, bitIndex2)) <=> v90(constB165, bitIndex2)) | ((~v88(constB165, bitIndex0)) <=> v90(constB165, bitIndex0))) | (~((~v88(constB165, bitIndex0)) <=> v90(constB165, bitIndex0)))),
% 8.58/6.52 inference(tautology,[status(thm)],[])).
% 8.58/6.52 tff(24769,plain,
% 8.58/6.52 (~((~v88(constB165, bitIndex0)) <=> v90(constB165, bitIndex0))),
% 8.58/6.52 inference(unit_resolution,[status(thm)],[24768, 24763])).
% 8.58/6.52 tff(24770,plain,
% 8.58/6.52 (((~v88(constB165, bitIndex0)) <=> v90(constB165, bitIndex0)) | (~v88(constB165, bitIndex0)) | v90(constB165, bitIndex0)),
% 8.58/6.52 inference(tautology,[status(thm)],[])).
% 8.58/6.52 tff(24771,plain,
% 8.58/6.52 (~v88(constB165, bitIndex0)),
% 8.58/6.52 inference(unit_resolution,[status(thm)],[24770, 21660, 24769])).
% 8.58/6.52 tff(24772,plain,
% 8.58/6.52 ((((~v88(constB165, bitIndex1)) <=> v90(constB165, bitIndex1)) | ((~v88(constB165, bitIndex2)) <=> v90(constB165, bitIndex2)) | ((~v88(constB165, bitIndex0)) <=> v90(constB165, bitIndex0))) | (~((~v88(constB165, bitIndex1)) <=> v90(constB165, bitIndex1)))),
% 8.58/6.52 inference(tautology,[status(thm)],[])).
% 8.58/6.52 tff(24773,plain,
% 8.58/6.52 (~((~v88(constB165, bitIndex1)) <=> v90(constB165, bitIndex1))),
% 8.58/6.52 inference(unit_resolution,[status(thm)],[24772, 24763])).
% 8.58/6.52 tff(24774,plain,
% 8.58/6.52 (((~v88(constB165, bitIndex1)) <=> v90(constB165, bitIndex1)) | v88(constB165, bitIndex1) | (~v90(constB165, bitIndex1))),
% 8.58/6.52 inference(tautology,[status(thm)],[])).
% 8.58/6.52 tff(24775,plain,
% 8.58/6.52 (v88(constB165, bitIndex1)),
% 8.58/6.52 inference(unit_resolution,[status(thm)],[24774, 21538, 24773])).
% 8.58/6.52 tff(24776,plain,
% 8.58/6.52 ((~((~v88(constB165, bitIndex1)) | (~v88(constB165, bitIndex2)) | v88(constB165, bitIndex0))) | (~v88(constB165, bitIndex1)) | (~v88(constB165, bitIndex2)) | v88(constB165, bitIndex0)),
% 8.58/6.52 inference(tautology,[status(thm)],[])).
% 8.58/6.52 tff(24777,plain,
% 8.58/6.52 (~((~v88(constB165, bitIndex1)) | (~v88(constB165, bitIndex2)) | v88(constB165, bitIndex0))),
% 8.58/6.52 inference(unit_resolution,[status(thm)],[24776, 24775, 24771, 24767])).
% 8.58/6.52 tff(24778,plain,
% 8.58/6.52 ((~(v144(constB165) <=> (~((~v88(constB165, bitIndex1)) | (~v88(constB165, bitIndex2)) | v88(constB165, bitIndex0))))) | v144(constB165) | ((~v88(constB165, bitIndex1)) | (~v88(constB165, bitIndex2)) | v88(constB165, bitIndex0))),
% 8.58/6.52 inference(tautology,[status(thm)],[])).
% 8.58/6.52 tff(24779,plain,
% 8.58/6.52 (v144(constB165)),
% 8.58/6.52 inference(unit_resolution,[status(thm)],[24778, 24777, 24761])).
% 8.58/6.52 tff(24780,plain,
% 8.58/6.52 ((v143(constB165) | v144(constB165)) | (~v144(constB165))),
% 8.58/6.52 inference(tautology,[status(thm)],[])).
% 8.58/6.52 tff(24781,plain,
% 8.58/6.52 (v143(constB165) | v144(constB165)),
% 8.58/6.52 inference(unit_resolution,[status(thm)],[24780, 24779])).
% 8.58/6.52 tff(24782,plain,
% 8.58/6.52 ((~(v142(constB165) <=> (v143(constB165) | v144(constB165)))) | v142(constB165) | (~(v143(constB165) | v144(constB165)))),
% 8.58/6.52 inference(tautology,[status(thm)],[])).
% 8.58/6.52 tff(24783,plain,
% 8.58/6.52 (v142(constB165)),
% 8.58/6.52 inference(unit_resolution,[status(thm)],[24782, 24781, 24754])).
% 8.58/6.52 tff(24784,plain,
% 8.58/6.52 ((v137(constB165) | v142(constB165)) | (~v142(constB165))),
% 8.58/6.52 inference(tautology,[status(thm)],[])).
% 8.58/6.52 tff(24785,plain,
% 8.58/6.52 (v137(constB165) | v142(constB165)),
% 8.58/6.52 inference(unit_resolution,[status(thm)],[24784, 24783])).
% 8.58/6.52 tff(24786,plain,
% 8.58/6.52 ((~(v136(constB165) <=> (v137(constB165) | v142(constB165)))) | v136(constB165) | (~(v137(constB165) | v142(constB165)))),
% 8.58/6.52 inference(tautology,[status(thm)],[])).
% 8.58/6.52 tff(24787,plain,
% 8.58/6.52 ((~(v136(constB165) <=> (v137(constB165) | v142(constB165)))) | v136(constB165)),
% 8.58/6.52 inference(unit_resolution,[status(thm)],[24786, 24785])).
% 8.58/6.52 tff(24788,plain,
% 8.58/6.52 (v136(constB165)),
% 8.58/6.52 inference(unit_resolution,[status(thm)],[24787, 24752])).
% 8.58/6.52 tff(24789,plain,
% 8.58/6.52 ((v136(constB165) | v145(constB165)) | (~v136(constB165))),
% 8.58/6.52 inference(tautology,[status(thm)],[])).
% 8.58/6.52 tff(24790,plain,
% 8.58/6.52 (v136(constB165) | v145(constB165)),
% 8.58/6.52 inference(unit_resolution,[status(thm)],[24789, 24788])).
% 8.58/6.52 tff(24791,plain,
% 8.58/6.52 ((~(v135(constB165) <=> (v136(constB165) | v145(constB165)))) | v135(constB165) | (~(v136(constB165) | v145(constB165)))),
% 8.58/6.52 inference(tautology,[status(thm)],[])).
% 8.58/6.52 tff(24792,plain,
% 8.58/6.52 (v135(constB165)),
% 8.58/6.52 inference(unit_resolution,[status(thm)],[24791, 24790, 24750])).
% 8.58/6.52 tff(24793,plain,
% 8.58/6.52 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB165)) | (v86(constB165) <=> v148(constB165)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB165)) | (v86(constB165) <=> v148(constB165)))),
% 8.58/6.52 inference(rewrite,[status(thm)],[])).
% 8.58/6.52 tff(24794,plain,
% 8.58/6.52 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB165)) | (v86(constB165) <=> v148(constB165)))),
% 8.58/6.52 inference(quant_inst,[status(thm)],[])).
% 8.58/6.52 tff(24795,plain,
% 8.58/6.52 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB165)) | (v86(constB165) <=> v148(constB165))),
% 8.58/6.52 inference(modus_ponens,[status(thm)],[24794, 24793])).
% 8.58/6.52 tff(24796,plain,
% 8.58/6.52 (v86(constB165) <=> v148(constB165)),
% 8.58/6.52 inference(unit_resolution,[status(thm)],[24795, 14818, 24792])).
% 8.58/6.52 tff(24797,plain,
% 8.58/6.52 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB165) | (~v142(constB165)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB165) | (~v142(constB165)))),
% 8.58/6.52 inference(rewrite,[status(thm)],[])).
% 8.58/6.52 tff(24798,plain,
% 8.58/6.52 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB165) | (~v142(constB165)))),
% 8.58/6.52 inference(quant_inst,[status(thm)],[])).
% 8.58/6.52 tff(24799,plain,
% 8.58/6.52 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB165) | (~v142(constB165))),
% 8.58/6.52 inference(modus_ponens,[status(thm)],[24798, 24797])).
% 8.58/6.52 tff(24800,plain,
% 8.58/6.52 (v148(constB165)),
% 8.58/6.52 inference(unit_resolution,[status(thm)],[24799, 14832, 24783])).
% 8.58/6.52 tff(24801,plain,
% 8.58/6.52 ((~(v86(constB165) <=> v148(constB165))) | v86(constB165) | (~v148(constB165))),
% 8.58/6.52 inference(tautology,[status(thm)],[])).
% 8.58/6.52 tff(24802,plain,
% 8.58/6.52 ((~(v86(constB165) <=> v148(constB165))) | v86(constB165)),
% 8.58/6.52 inference(unit_resolution,[status(thm)],[24801, 24800])).
% 8.58/6.52 tff(24803,plain,
% 8.58/6.52 (v86(constB165)),
% 8.58/6.52 inference(unit_resolution,[status(thm)],[24802, 24796])).
% 8.58/6.52 tff(24804,plain,
% 8.58/6.52 ($false),
% 8.58/6.52 inference(unit_resolution,[status(thm)],[24803, 24748])).
% 8.58/6.52 tff(24805,plain,(~(constB165 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.58/6.52 tff(24806,assumption,(constB89 = VarCurr!0), introduced(assumption)).
% 8.58/6.52 tff(24807,plain,
% 8.58/6.52 (v86(constB89) <=> v86(VarCurr!0)),
% 8.58/6.52 inference(monotonicity,[status(thm)],[24806])).
% 8.58/6.52 tff(24808,plain,
% 8.58/6.52 (v86(VarCurr!0) <=> v86(constB89)),
% 8.58/6.52 inference(symmetry,[status(thm)],[24807])).
% 8.58/6.52 tff(24809,plain,
% 8.58/6.52 ((~v86(VarCurr!0)) <=> (~v86(constB89))),
% 8.58/6.52 inference(monotonicity,[status(thm)],[24808])).
% 8.58/6.52 tff(24810,plain,
% 8.58/6.52 (~v86(constB89)),
% 8.58/6.52 inference(modus_ponens,[status(thm)],[14736, 24809])).
% 8.58/6.52 tff(24811,plain,
% 8.58/6.52 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB89) <=> (v136(constB89) | v145(constB89)))),
% 8.58/6.52 inference(quant_inst,[status(thm)],[])).
% 8.58/6.52 tff(24812,plain,
% 8.58/6.52 (v135(constB89) <=> (v136(constB89) | v145(constB89))),
% 8.58/6.52 inference(unit_resolution,[status(thm)],[24811, 14744])).
% 8.58/6.52 tff(24813,plain,
% 8.58/6.52 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB89) <=> (v137(constB89) | v142(constB89)))),
% 8.58/6.52 inference(quant_inst,[status(thm)],[])).
% 8.58/6.52 tff(24814,plain,
% 8.58/6.52 (v136(constB89) <=> (v137(constB89) | v142(constB89))),
% 8.58/6.52 inference(unit_resolution,[status(thm)],[24813, 14753])).
% 8.58/6.52 tff(24815,plain,
% 8.58/6.52 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB89) <=> (v143(constB89) | v144(constB89)))),
% 8.58/6.52 inference(quant_inst,[status(thm)],[])).
% 8.58/6.52 tff(24816,plain,
% 8.58/6.52 (v142(constB89) <=> (v143(constB89) | v144(constB89))),
% 8.58/6.52 inference(unit_resolution,[status(thm)],[24815, 10332])).
% 8.58/6.52 tff(24817,plain,
% 8.58/6.52 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB89) <=> (~((~v88(constB89, bitIndex1)) | v88(constB89, bitIndex2) | v88(constB89, bitIndex0))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB89) <=> (~((~v88(constB89, bitIndex1)) | v88(constB89, bitIndex2) | v88(constB89, bitIndex0)))))),
% 8.58/6.52 inference(rewrite,[status(thm)],[])).
% 8.58/6.52 tff(24818,plain,
% 8.58/6.52 ((v143(constB89) <=> (~(v88(constB89, bitIndex0) | v88(constB89, bitIndex2) | (~v88(constB89, bitIndex1))))) <=> (v143(constB89) <=> (~((~v88(constB89, bitIndex1)) | v88(constB89, bitIndex2) | v88(constB89, bitIndex0))))),
% 8.58/6.52 inference(rewrite,[status(thm)],[])).
% 8.58/6.52 tff(24819,plain,
% 8.58/6.52 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB89) <=> (~(v88(constB89, bitIndex0) | v88(constB89, bitIndex2) | (~v88(constB89, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB89) <=> (~((~v88(constB89, bitIndex1)) | v88(constB89, bitIndex2) | v88(constB89, bitIndex0)))))),
% 8.58/6.52 inference(monotonicity,[status(thm)],[24818])).
% 8.58/6.52 tff(24820,plain,
% 8.58/6.52 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB89) <=> (~(v88(constB89, bitIndex0) | v88(constB89, bitIndex2) | (~v88(constB89, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB89) <=> (~((~v88(constB89, bitIndex1)) | v88(constB89, bitIndex2) | v88(constB89, bitIndex0)))))),
% 8.58/6.52 inference(transitivity,[status(thm)],[24819, 24817])).
% 8.58/6.52 tff(24821,plain,
% 8.58/6.52 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB89) <=> (~(v88(constB89, bitIndex0) | v88(constB89, bitIndex2) | (~v88(constB89, bitIndex1)))))),
% 8.58/6.52 inference(quant_inst,[status(thm)],[])).
% 8.58/6.52 tff(24822,plain,
% 8.58/6.52 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB89) <=> (~((~v88(constB89, bitIndex1)) | v88(constB89, bitIndex2) | v88(constB89, bitIndex0))))),
% 8.58/6.52 inference(modus_ponens,[status(thm)],[24821, 24820])).
% 8.58/6.52 tff(24823,plain,
% 8.58/6.52 (v143(constB89) <=> (~((~v88(constB89, bitIndex1)) | v88(constB89, bitIndex2) | v88(constB89, bitIndex0)))),
% 8.58/6.52 inference(unit_resolution,[status(thm)],[24822, 14770])).
% 8.58/6.52 tff(24824,plain,
% 8.58/6.52 ((~![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))) | (~(((~v88(constB89, bitIndex1)) <=> v90(constB89, bitIndex1)) | ((~v88(constB89, bitIndex2)) <=> v90(constB89, bitIndex2)) | ((~v88(constB89, bitIndex0)) <=> v90(constB89, bitIndex0))))),
% 8.58/6.52 inference(quant_inst,[status(thm)],[])).
% 8.58/6.52 tff(24825,plain,
% 8.58/6.52 (~(((~v88(constB89, bitIndex1)) <=> v90(constB89, bitIndex1)) | ((~v88(constB89, bitIndex2)) <=> v90(constB89, bitIndex2)) | ((~v88(constB89, bitIndex0)) <=> v90(constB89, bitIndex0)))),
% 8.58/6.52 inference(unit_resolution,[status(thm)],[24824, 428])).
% 8.58/6.52 tff(24826,plain,
% 8.58/6.52 ((((~v88(constB89, bitIndex1)) <=> v90(constB89, bitIndex1)) | ((~v88(constB89, bitIndex2)) <=> v90(constB89, bitIndex2)) | ((~v88(constB89, bitIndex0)) <=> v90(constB89, bitIndex0))) | (~((~v88(constB89, bitIndex2)) <=> v90(constB89, bitIndex2)))),
% 8.58/6.52 inference(tautology,[status(thm)],[])).
% 8.58/6.52 tff(24827,plain,
% 8.58/6.52 (~((~v88(constB89, bitIndex2)) <=> v90(constB89, bitIndex2))),
% 8.58/6.52 inference(unit_resolution,[status(thm)],[24826, 24825])).
% 8.58/6.52 tff(24828,plain,
% 8.58/6.52 (((~v88(constB89, bitIndex2)) <=> v90(constB89, bitIndex2)) | (~v88(constB89, bitIndex2)) | v90(constB89, bitIndex2)),
% 8.58/6.52 inference(tautology,[status(thm)],[])).
% 8.58/6.52 tff(24829,plain,
% 8.58/6.52 (~v88(constB89, bitIndex2)),
% 8.58/6.52 inference(unit_resolution,[status(thm)],[24828, 12048, 24827])).
% 8.58/6.52 tff(24830,plain,
% 8.58/6.52 ((((~v88(constB89, bitIndex1)) <=> v90(constB89, bitIndex1)) | ((~v88(constB89, bitIndex2)) <=> v90(constB89, bitIndex2)) | ((~v88(constB89, bitIndex0)) <=> v90(constB89, bitIndex0))) | (~((~v88(constB89, bitIndex0)) <=> v90(constB89, bitIndex0)))),
% 8.58/6.52 inference(tautology,[status(thm)],[])).
% 8.58/6.52 tff(24831,plain,
% 8.58/6.52 (~((~v88(constB89, bitIndex0)) <=> v90(constB89, bitIndex0))),
% 8.58/6.52 inference(unit_resolution,[status(thm)],[24830, 24825])).
% 8.58/6.52 tff(24832,plain,
% 8.58/6.52 (((~v88(constB89, bitIndex0)) <=> v90(constB89, bitIndex0)) | (~v88(constB89, bitIndex0)) | v90(constB89, bitIndex0)),
% 8.58/6.52 inference(tautology,[status(thm)],[])).
% 8.58/6.52 tff(24833,plain,
% 8.58/6.52 (~v88(constB89, bitIndex0)),
% 8.58/6.52 inference(unit_resolution,[status(thm)],[24832, 12066, 24831])).
% 8.58/6.52 tff(24834,plain,
% 8.58/6.52 ((((~v88(constB89, bitIndex1)) <=> v90(constB89, bitIndex1)) | ((~v88(constB89, bitIndex2)) <=> v90(constB89, bitIndex2)) | ((~v88(constB89, bitIndex0)) <=> v90(constB89, bitIndex0))) | (~((~v88(constB89, bitIndex1)) <=> v90(constB89, bitIndex1)))),
% 8.58/6.52 inference(tautology,[status(thm)],[])).
% 8.58/6.52 tff(24835,plain,
% 8.58/6.52 (~((~v88(constB89, bitIndex1)) <=> v90(constB89, bitIndex1))),
% 8.58/6.52 inference(unit_resolution,[status(thm)],[24834, 24825])).
% 8.58/6.52 tff(24836,plain,
% 8.58/6.52 (((~v88(constB89, bitIndex1)) <=> v90(constB89, bitIndex1)) | v88(constB89, bitIndex1) | (~v90(constB89, bitIndex1))),
% 8.58/6.52 inference(tautology,[status(thm)],[])).
% 8.58/6.52 tff(24837,plain,
% 8.58/6.52 (v88(constB89, bitIndex1)),
% 8.58/6.52 inference(unit_resolution,[status(thm)],[24836, 12084, 24835])).
% 8.58/6.52 tff(24838,plain,
% 8.58/6.52 ((~((~v88(constB89, bitIndex1)) | v88(constB89, bitIndex2) | v88(constB89, bitIndex0))) | (~v88(constB89, bitIndex1)) | v88(constB89, bitIndex2) | v88(constB89, bitIndex0)),
% 8.58/6.52 inference(tautology,[status(thm)],[])).
% 8.58/6.52 tff(24839,plain,
% 8.58/6.52 (~((~v88(constB89, bitIndex1)) | v88(constB89, bitIndex2) | v88(constB89, bitIndex0))),
% 8.58/6.52 inference(unit_resolution,[status(thm)],[24838, 24837, 24833, 24829])).
% 8.58/6.52 tff(24840,plain,
% 8.58/6.52 ((~(v143(constB89) <=> (~((~v88(constB89, bitIndex1)) | v88(constB89, bitIndex2) | v88(constB89, bitIndex0))))) | v143(constB89) | ((~v88(constB89, bitIndex1)) | v88(constB89, bitIndex2) | v88(constB89, bitIndex0))),
% 8.58/6.52 inference(tautology,[status(thm)],[])).
% 8.58/6.52 tff(24841,plain,
% 8.58/6.52 (v143(constB89)),
% 8.58/6.52 inference(unit_resolution,[status(thm)],[24840, 24839, 24823])).
% 8.58/6.52 tff(24842,plain,
% 8.58/6.52 ((v143(constB89) | v144(constB89)) | (~v143(constB89))),
% 8.58/6.52 inference(tautology,[status(thm)],[])).
% 8.58/6.52 tff(24843,plain,
% 8.58/6.52 (v143(constB89) | v144(constB89)),
% 8.58/6.52 inference(unit_resolution,[status(thm)],[24842, 24841])).
% 8.58/6.52 tff(24844,plain,
% 8.58/6.52 ((~(v142(constB89) <=> (v143(constB89) | v144(constB89)))) | v142(constB89) | (~(v143(constB89) | v144(constB89)))),
% 8.58/6.52 inference(tautology,[status(thm)],[])).
% 8.58/6.52 tff(24845,plain,
% 8.58/6.52 (v142(constB89)),
% 8.58/6.52 inference(unit_resolution,[status(thm)],[24844, 24843, 24816])).
% 8.58/6.52 tff(24846,plain,
% 8.58/6.52 ((v137(constB89) | v142(constB89)) | (~v142(constB89))),
% 8.58/6.52 inference(tautology,[status(thm)],[])).
% 8.58/6.52 tff(24847,plain,
% 8.58/6.52 (v137(constB89) | v142(constB89)),
% 8.58/6.52 inference(unit_resolution,[status(thm)],[24846, 24845])).
% 8.58/6.52 tff(24848,plain,
% 8.58/6.52 ((~(v136(constB89) <=> (v137(constB89) | v142(constB89)))) | v136(constB89) | (~(v137(constB89) | v142(constB89)))),
% 8.58/6.52 inference(tautology,[status(thm)],[])).
% 8.58/6.52 tff(24849,plain,
% 8.58/6.52 ((~(v136(constB89) <=> (v137(constB89) | v142(constB89)))) | v136(constB89)),
% 8.58/6.52 inference(unit_resolution,[status(thm)],[24848, 24847])).
% 8.58/6.52 tff(24850,plain,
% 8.58/6.52 (v136(constB89)),
% 8.58/6.52 inference(unit_resolution,[status(thm)],[24849, 24814])).
% 8.58/6.52 tff(24851,plain,
% 8.58/6.52 ((v136(constB89) | v145(constB89)) | (~v136(constB89))),
% 8.58/6.52 inference(tautology,[status(thm)],[])).
% 8.58/6.52 tff(24852,plain,
% 8.58/6.52 (v136(constB89) | v145(constB89)),
% 8.58/6.52 inference(unit_resolution,[status(thm)],[24851, 24850])).
% 8.58/6.52 tff(24853,plain,
% 8.58/6.52 ((~(v135(constB89) <=> (v136(constB89) | v145(constB89)))) | v135(constB89) | (~(v136(constB89) | v145(constB89)))),
% 8.58/6.52 inference(tautology,[status(thm)],[])).
% 8.58/6.52 tff(24854,plain,
% 8.58/6.52 (v135(constB89)),
% 8.58/6.52 inference(unit_resolution,[status(thm)],[24853, 24852, 24812])).
% 8.58/6.52 tff(24855,plain,
% 8.58/6.52 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB89)) | (v86(constB89) <=> v148(constB89)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB89)) | (v86(constB89) <=> v148(constB89)))),
% 8.58/6.52 inference(rewrite,[status(thm)],[])).
% 8.58/6.52 tff(24856,plain,
% 8.58/6.52 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB89)) | (v86(constB89) <=> v148(constB89)))),
% 8.58/6.52 inference(quant_inst,[status(thm)],[])).
% 8.58/6.52 tff(24857,plain,
% 8.58/6.52 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB89)) | (v86(constB89) <=> v148(constB89))),
% 8.58/6.52 inference(modus_ponens,[status(thm)],[24856, 24855])).
% 8.58/6.52 tff(24858,plain,
% 8.58/6.52 (v86(constB89) <=> v148(constB89)),
% 8.58/6.52 inference(unit_resolution,[status(thm)],[24857, 14818, 24854])).
% 8.58/6.52 tff(24859,plain,
% 8.58/6.52 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB89) | (~v142(constB89)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB89) | (~v142(constB89)))),
% 8.58/6.52 inference(rewrite,[status(thm)],[])).
% 8.58/6.52 tff(24860,plain,
% 8.58/6.52 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB89) | (~v142(constB89)))),
% 8.58/6.52 inference(quant_inst,[status(thm)],[])).
% 8.58/6.52 tff(24861,plain,
% 8.58/6.52 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB89) | (~v142(constB89))),
% 8.58/6.52 inference(modus_ponens,[status(thm)],[24860, 24859])).
% 8.58/6.52 tff(24862,plain,
% 8.58/6.52 (v148(constB89)),
% 8.58/6.52 inference(unit_resolution,[status(thm)],[24861, 14832, 24845])).
% 8.58/6.52 tff(24863,plain,
% 8.58/6.52 ((~(v86(constB89) <=> v148(constB89))) | v86(constB89) | (~v148(constB89))),
% 8.58/6.52 inference(tautology,[status(thm)],[])).
% 8.58/6.52 tff(24864,plain,
% 8.58/6.52 ((~(v86(constB89) <=> v148(constB89))) | v86(constB89)),
% 8.58/6.52 inference(unit_resolution,[status(thm)],[24863, 24862])).
% 8.58/6.52 tff(24865,plain,
% 8.58/6.52 (v86(constB89)),
% 8.58/6.52 inference(unit_resolution,[status(thm)],[24864, 24858])).
% 8.58/6.52 tff(24866,plain,
% 8.58/6.52 ($false),
% 8.58/6.52 inference(unit_resolution,[status(thm)],[24865, 24810])).
% 8.58/6.52 tff(24867,plain,(~(constB89 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.58/6.52 tff(24868,assumption,(constB45 = VarCurr!0), introduced(assumption)).
% 8.58/6.52 tff(24869,plain,
% 8.58/6.52 (v86(constB45) <=> v86(VarCurr!0)),
% 8.58/6.52 inference(monotonicity,[status(thm)],[24868])).
% 8.58/6.52 tff(24870,plain,
% 8.58/6.52 (v86(VarCurr!0) <=> v86(constB45)),
% 8.58/6.52 inference(symmetry,[status(thm)],[24869])).
% 8.58/6.52 tff(24871,plain,
% 8.58/6.52 ((~v86(VarCurr!0)) <=> (~v86(constB45))),
% 8.58/6.52 inference(monotonicity,[status(thm)],[24870])).
% 8.58/6.52 tff(24872,plain,
% 8.58/6.52 (~v86(constB45)),
% 8.58/6.52 inference(modus_ponens,[status(thm)],[14736, 24871])).
% 8.58/6.52 tff(24873,plain,
% 8.58/6.52 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB45) <=> (v136(constB45) | v145(constB45)))),
% 8.58/6.52 inference(quant_inst,[status(thm)],[])).
% 8.58/6.52 tff(24874,plain,
% 8.58/6.52 (v135(constB45) <=> (v136(constB45) | v145(constB45))),
% 8.58/6.52 inference(unit_resolution,[status(thm)],[24873, 14744])).
% 8.58/6.52 tff(24875,plain,
% 8.58/6.52 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB45) <=> (v137(constB45) | v142(constB45)))),
% 8.58/6.52 inference(quant_inst,[status(thm)],[])).
% 8.58/6.52 tff(24876,plain,
% 8.58/6.52 (v136(constB45) <=> (v137(constB45) | v142(constB45))),
% 8.58/6.52 inference(unit_resolution,[status(thm)],[24875, 14753])).
% 8.58/6.52 tff(24877,plain,
% 8.58/6.52 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB45) <=> (v143(constB45) | v144(constB45)))),
% 8.58/6.52 inference(quant_inst,[status(thm)],[])).
% 8.58/6.52 tff(24878,plain,
% 8.58/6.52 (v142(constB45) <=> (v143(constB45) | v144(constB45))),
% 8.58/6.52 inference(unit_resolution,[status(thm)],[24877, 10332])).
% 8.58/6.52 tff(24879,plain,
% 8.58/6.52 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB45) <=> (~((~v88(constB45, bitIndex1)) | (~v88(constB45, bitIndex2)) | v88(constB45, bitIndex0))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB45) <=> (~((~v88(constB45, bitIndex1)) | (~v88(constB45, bitIndex2)) | v88(constB45, bitIndex0)))))),
% 8.58/6.52 inference(rewrite,[status(thm)],[])).
% 8.58/6.52 tff(24880,plain,
% 8.58/6.52 ((v144(constB45) <=> (~(v88(constB45, bitIndex0) | (~v88(constB45, bitIndex1)) | (~v88(constB45, bitIndex2))))) <=> (v144(constB45) <=> (~((~v88(constB45, bitIndex1)) | (~v88(constB45, bitIndex2)) | v88(constB45, bitIndex0))))),
% 8.58/6.52 inference(rewrite,[status(thm)],[])).
% 8.58/6.52 tff(24881,plain,
% 8.58/6.52 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB45) <=> (~(v88(constB45, bitIndex0) | (~v88(constB45, bitIndex1)) | (~v88(constB45, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB45) <=> (~((~v88(constB45, bitIndex1)) | (~v88(constB45, bitIndex2)) | v88(constB45, bitIndex0)))))),
% 8.58/6.52 inference(monotonicity,[status(thm)],[24880])).
% 8.58/6.52 tff(24882,plain,
% 8.58/6.52 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB45) <=> (~(v88(constB45, bitIndex0) | (~v88(constB45, bitIndex1)) | (~v88(constB45, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB45) <=> (~((~v88(constB45, bitIndex1)) | (~v88(constB45, bitIndex2)) | v88(constB45, bitIndex0)))))),
% 8.58/6.52 inference(transitivity,[status(thm)],[24881, 24879])).
% 8.58/6.52 tff(24883,plain,
% 8.58/6.52 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB45) <=> (~(v88(constB45, bitIndex0) | (~v88(constB45, bitIndex1)) | (~v88(constB45, bitIndex2)))))),
% 8.58/6.52 inference(quant_inst,[status(thm)],[])).
% 8.58/6.52 tff(24884,plain,
% 8.58/6.52 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB45) <=> (~((~v88(constB45, bitIndex1)) | (~v88(constB45, bitIndex2)) | v88(constB45, bitIndex0))))),
% 8.58/6.52 inference(modus_ponens,[status(thm)],[24883, 24882])).
% 8.58/6.52 tff(24885,plain,
% 8.58/6.52 (v144(constB45) <=> (~((~v88(constB45, bitIndex1)) | (~v88(constB45, bitIndex2)) | v88(constB45, bitIndex0)))),
% 8.58/6.52 inference(unit_resolution,[status(thm)],[24884, 10347])).
% 8.58/6.52 tff(24886,plain,
% 8.58/6.52 ((~![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))) | (~(((~v88(constB45, bitIndex1)) <=> v90(constB45, bitIndex1)) | ((~v88(constB45, bitIndex2)) <=> v90(constB45, bitIndex2)) | ((~v88(constB45, bitIndex0)) <=> v90(constB45, bitIndex0))))),
% 8.58/6.52 inference(quant_inst,[status(thm)],[])).
% 8.58/6.52 tff(24887,plain,
% 8.58/6.52 (~(((~v88(constB45, bitIndex1)) <=> v90(constB45, bitIndex1)) | ((~v88(constB45, bitIndex2)) <=> v90(constB45, bitIndex2)) | ((~v88(constB45, bitIndex0)) <=> v90(constB45, bitIndex0)))),
% 8.58/6.52 inference(unit_resolution,[status(thm)],[24886, 428])).
% 8.58/6.52 tff(24888,plain,
% 8.58/6.52 ((((~v88(constB45, bitIndex1)) <=> v90(constB45, bitIndex1)) | ((~v88(constB45, bitIndex2)) <=> v90(constB45, bitIndex2)) | ((~v88(constB45, bitIndex0)) <=> v90(constB45, bitIndex0))) | (~((~v88(constB45, bitIndex2)) <=> v90(constB45, bitIndex2)))),
% 8.58/6.52 inference(tautology,[status(thm)],[])).
% 8.58/6.52 tff(24889,plain,
% 8.58/6.52 (~((~v88(constB45, bitIndex2)) <=> v90(constB45, bitIndex2))),
% 8.58/6.52 inference(unit_resolution,[status(thm)],[24888, 24887])).
% 8.58/6.52 tff(24890,plain,
% 8.58/6.52 (((~v88(constB45, bitIndex2)) <=> v90(constB45, bitIndex2)) | v88(constB45, bitIndex2) | (~v90(constB45, bitIndex2))),
% 8.58/6.52 inference(tautology,[status(thm)],[])).
% 8.58/6.52 tff(24891,plain,
% 8.58/6.52 (v88(constB45, bitIndex2)),
% 8.58/6.52 inference(unit_resolution,[status(thm)],[24890, 6872, 24889])).
% 8.58/6.52 tff(24892,plain,
% 8.58/6.52 ((((~v88(constB45, bitIndex1)) <=> v90(constB45, bitIndex1)) | ((~v88(constB45, bitIndex2)) <=> v90(constB45, bitIndex2)) | ((~v88(constB45, bitIndex0)) <=> v90(constB45, bitIndex0))) | (~((~v88(constB45, bitIndex0)) <=> v90(constB45, bitIndex0)))),
% 8.58/6.52 inference(tautology,[status(thm)],[])).
% 8.58/6.52 tff(24893,plain,
% 8.58/6.52 (~((~v88(constB45, bitIndex0)) <=> v90(constB45, bitIndex0))),
% 8.58/6.52 inference(unit_resolution,[status(thm)],[24892, 24887])).
% 8.58/6.52 tff(24894,plain,
% 8.58/6.52 (((~v88(constB45, bitIndex0)) <=> v90(constB45, bitIndex0)) | (~v88(constB45, bitIndex0)) | v90(constB45, bitIndex0)),
% 8.58/6.52 inference(tautology,[status(thm)],[])).
% 8.58/6.52 tff(24895,plain,
% 8.58/6.52 (~v88(constB45, bitIndex0)),
% 8.58/6.52 inference(unit_resolution,[status(thm)],[24894, 7023, 24893])).
% 8.58/6.52 tff(24896,plain,
% 8.58/6.52 ((((~v88(constB45, bitIndex1)) <=> v90(constB45, bitIndex1)) | ((~v88(constB45, bitIndex2)) <=> v90(constB45, bitIndex2)) | ((~v88(constB45, bitIndex0)) <=> v90(constB45, bitIndex0))) | (~((~v88(constB45, bitIndex1)) <=> v90(constB45, bitIndex1)))),
% 8.58/6.52 inference(tautology,[status(thm)],[])).
% 8.58/6.52 tff(24897,plain,
% 8.58/6.52 (~((~v88(constB45, bitIndex1)) <=> v90(constB45, bitIndex1))),
% 8.58/6.52 inference(unit_resolution,[status(thm)],[24896, 24887])).
% 8.58/6.52 tff(24898,plain,
% 8.58/6.52 (((~v88(constB45, bitIndex1)) <=> v90(constB45, bitIndex1)) | v88(constB45, bitIndex1) | (~v90(constB45, bitIndex1))),
% 8.58/6.52 inference(tautology,[status(thm)],[])).
% 8.58/6.52 tff(24899,plain,
% 8.58/6.52 (v88(constB45, bitIndex1)),
% 8.58/6.52 inference(unit_resolution,[status(thm)],[24898, 6901, 24897])).
% 8.58/6.52 tff(24900,plain,
% 8.58/6.52 ((~((~v88(constB45, bitIndex1)) | (~v88(constB45, bitIndex2)) | v88(constB45, bitIndex0))) | (~v88(constB45, bitIndex1)) | (~v88(constB45, bitIndex2)) | v88(constB45, bitIndex0)),
% 8.58/6.52 inference(tautology,[status(thm)],[])).
% 8.58/6.52 tff(24901,plain,
% 8.58/6.52 (~((~v88(constB45, bitIndex1)) | (~v88(constB45, bitIndex2)) | v88(constB45, bitIndex0))),
% 8.58/6.52 inference(unit_resolution,[status(thm)],[24900, 24899, 24895, 24891])).
% 8.58/6.52 tff(24902,plain,
% 8.58/6.52 ((~(v144(constB45) <=> (~((~v88(constB45, bitIndex1)) | (~v88(constB45, bitIndex2)) | v88(constB45, bitIndex0))))) | v144(constB45) | ((~v88(constB45, bitIndex1)) | (~v88(constB45, bitIndex2)) | v88(constB45, bitIndex0))),
% 8.58/6.52 inference(tautology,[status(thm)],[])).
% 8.58/6.52 tff(24903,plain,
% 8.58/6.52 (v144(constB45)),
% 8.58/6.52 inference(unit_resolution,[status(thm)],[24902, 24901, 24885])).
% 8.58/6.52 tff(24904,plain,
% 8.58/6.52 ((v143(constB45) | v144(constB45)) | (~v144(constB45))),
% 8.58/6.52 inference(tautology,[status(thm)],[])).
% 8.58/6.52 tff(24905,plain,
% 8.58/6.52 (v143(constB45) | v144(constB45)),
% 8.58/6.52 inference(unit_resolution,[status(thm)],[24904, 24903])).
% 8.58/6.52 tff(24906,plain,
% 8.58/6.52 ((~(v142(constB45) <=> (v143(constB45) | v144(constB45)))) | v142(constB45) | (~(v143(constB45) | v144(constB45)))),
% 8.58/6.52 inference(tautology,[status(thm)],[])).
% 8.58/6.52 tff(24907,plain,
% 8.58/6.52 (v142(constB45)),
% 8.58/6.52 inference(unit_resolution,[status(thm)],[24906, 24905, 24878])).
% 8.58/6.52 tff(24908,plain,
% 8.58/6.52 ((v137(constB45) | v142(constB45)) | (~v142(constB45))),
% 8.58/6.52 inference(tautology,[status(thm)],[])).
% 8.58/6.52 tff(24909,plain,
% 8.58/6.52 (v137(constB45) | v142(constB45)),
% 8.58/6.52 inference(unit_resolution,[status(thm)],[24908, 24907])).
% 8.58/6.52 tff(24910,plain,
% 8.58/6.52 ((~(v136(constB45) <=> (v137(constB45) | v142(constB45)))) | v136(constB45) | (~(v137(constB45) | v142(constB45)))),
% 8.58/6.52 inference(tautology,[status(thm)],[])).
% 8.58/6.52 tff(24911,plain,
% 8.58/6.52 ((~(v136(constB45) <=> (v137(constB45) | v142(constB45)))) | v136(constB45)),
% 8.58/6.52 inference(unit_resolution,[status(thm)],[24910, 24909])).
% 8.58/6.52 tff(24912,plain,
% 8.58/6.52 (v136(constB45)),
% 8.58/6.52 inference(unit_resolution,[status(thm)],[24911, 24876])).
% 8.58/6.52 tff(24913,plain,
% 8.58/6.52 ((v136(constB45) | v145(constB45)) | (~v136(constB45))),
% 8.58/6.52 inference(tautology,[status(thm)],[])).
% 8.58/6.52 tff(24914,plain,
% 8.58/6.52 (v136(constB45) | v145(constB45)),
% 8.58/6.52 inference(unit_resolution,[status(thm)],[24913, 24912])).
% 8.58/6.52 tff(24915,plain,
% 8.58/6.52 ((~(v135(constB45) <=> (v136(constB45) | v145(constB45)))) | v135(constB45) | (~(v136(constB45) | v145(constB45)))),
% 8.58/6.52 inference(tautology,[status(thm)],[])).
% 8.58/6.52 tff(24916,plain,
% 8.58/6.52 (v135(constB45)),
% 8.58/6.52 inference(unit_resolution,[status(thm)],[24915, 24914, 24874])).
% 8.58/6.52 tff(24917,plain,
% 8.58/6.52 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB45)) | (v86(constB45) <=> v148(constB45)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB45)) | (v86(constB45) <=> v148(constB45)))),
% 8.58/6.52 inference(rewrite,[status(thm)],[])).
% 8.58/6.52 tff(24918,plain,
% 8.58/6.52 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB45)) | (v86(constB45) <=> v148(constB45)))),
% 8.58/6.52 inference(quant_inst,[status(thm)],[])).
% 8.58/6.52 tff(24919,plain,
% 8.58/6.52 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB45)) | (v86(constB45) <=> v148(constB45))),
% 8.58/6.52 inference(modus_ponens,[status(thm)],[24918, 24917])).
% 8.58/6.52 tff(24920,plain,
% 8.58/6.52 (v86(constB45) <=> v148(constB45)),
% 8.58/6.52 inference(unit_resolution,[status(thm)],[24919, 14818, 24916])).
% 8.58/6.52 tff(24921,plain,
% 8.58/6.52 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB45) | (~v142(constB45)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB45) | (~v142(constB45)))),
% 8.58/6.52 inference(rewrite,[status(thm)],[])).
% 8.58/6.52 tff(24922,plain,
% 8.58/6.52 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB45) | (~v142(constB45)))),
% 8.58/6.52 inference(quant_inst,[status(thm)],[])).
% 8.58/6.52 tff(24923,plain,
% 8.58/6.52 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB45) | (~v142(constB45))),
% 8.58/6.52 inference(modus_ponens,[status(thm)],[24922, 24921])).
% 8.58/6.52 tff(24924,plain,
% 8.58/6.52 (v148(constB45)),
% 8.58/6.52 inference(unit_resolution,[status(thm)],[24923, 14832, 24907])).
% 8.58/6.52 tff(24925,plain,
% 8.58/6.52 ((~(v86(constB45) <=> v148(constB45))) | v86(constB45) | (~v148(constB45))),
% 8.58/6.52 inference(tautology,[status(thm)],[])).
% 8.58/6.52 tff(24926,plain,
% 8.58/6.52 ((~(v86(constB45) <=> v148(constB45))) | v86(constB45)),
% 8.58/6.52 inference(unit_resolution,[status(thm)],[24925, 24924])).
% 8.58/6.52 tff(24927,plain,
% 8.58/6.52 (v86(constB45)),
% 8.58/6.52 inference(unit_resolution,[status(thm)],[24926, 24920])).
% 8.58/6.52 tff(24928,plain,
% 8.58/6.52 ($false),
% 8.58/6.52 inference(unit_resolution,[status(thm)],[24927, 24872])).
% 8.58/6.52 tff(24929,plain,(~(constB45 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.58/6.52 tff(24930,assumption,(constB185 = VarCurr!0), introduced(assumption)).
% 8.58/6.52 tff(24931,plain,
% 8.58/6.52 (v86(constB185) <=> v86(VarCurr!0)),
% 8.58/6.52 inference(monotonicity,[status(thm)],[24930])).
% 8.58/6.52 tff(24932,plain,
% 8.58/6.52 (v86(VarCurr!0) <=> v86(constB185)),
% 8.58/6.52 inference(symmetry,[status(thm)],[24931])).
% 8.58/6.52 tff(24933,plain,
% 8.58/6.52 ((~v86(VarCurr!0)) <=> (~v86(constB185))),
% 8.58/6.52 inference(monotonicity,[status(thm)],[24932])).
% 8.58/6.52 tff(24934,plain,
% 8.58/6.52 (~v86(constB185)),
% 8.58/6.52 inference(modus_ponens,[status(thm)],[14736, 24933])).
% 8.58/6.52 tff(24935,plain,
% 8.58/6.52 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB185) <=> (v136(constB185) | v145(constB185)))),
% 8.58/6.52 inference(quant_inst,[status(thm)],[])).
% 8.58/6.52 tff(24936,plain,
% 8.58/6.52 (v135(constB185) <=> (v136(constB185) | v145(constB185))),
% 8.58/6.52 inference(unit_resolution,[status(thm)],[24935, 14744])).
% 8.58/6.52 tff(24937,plain,
% 8.58/6.52 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB185) <=> (v137(constB185) | v142(constB185)))),
% 8.58/6.52 inference(quant_inst,[status(thm)],[])).
% 8.58/6.52 tff(24938,plain,
% 8.58/6.52 (v136(constB185) <=> (v137(constB185) | v142(constB185))),
% 8.58/6.52 inference(unit_resolution,[status(thm)],[24937, 14753])).
% 8.58/6.52 tff(24939,plain,
% 8.58/6.52 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB185) <=> (v143(constB185) | v144(constB185)))),
% 8.58/6.52 inference(quant_inst,[status(thm)],[])).
% 8.58/6.52 tff(24940,plain,
% 8.58/6.52 (v142(constB185) <=> (v143(constB185) | v144(constB185))),
% 8.58/6.52 inference(unit_resolution,[status(thm)],[24939, 10332])).
% 8.58/6.52 tff(24941,plain,
% 8.58/6.52 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB185) <=> (~((~v88(constB185, bitIndex1)) | (~v88(constB185, bitIndex2)) | v88(constB185, bitIndex0))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB185) <=> (~((~v88(constB185, bitIndex1)) | (~v88(constB185, bitIndex2)) | v88(constB185, bitIndex0)))))),
% 8.58/6.52 inference(rewrite,[status(thm)],[])).
% 8.58/6.52 tff(24942,plain,
% 8.58/6.52 ((v144(constB185) <=> (~(v88(constB185, bitIndex0) | (~v88(constB185, bitIndex1)) | (~v88(constB185, bitIndex2))))) <=> (v144(constB185) <=> (~((~v88(constB185, bitIndex1)) | (~v88(constB185, bitIndex2)) | v88(constB185, bitIndex0))))),
% 8.61/6.53 inference(rewrite,[status(thm)],[])).
% 8.61/6.53 tff(24943,plain,
% 8.61/6.53 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB185) <=> (~(v88(constB185, bitIndex0) | (~v88(constB185, bitIndex1)) | (~v88(constB185, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB185) <=> (~((~v88(constB185, bitIndex1)) | (~v88(constB185, bitIndex2)) | v88(constB185, bitIndex0)))))),
% 8.61/6.53 inference(monotonicity,[status(thm)],[24942])).
% 8.61/6.53 tff(24944,plain,
% 8.61/6.53 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB185) <=> (~(v88(constB185, bitIndex0) | (~v88(constB185, bitIndex1)) | (~v88(constB185, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB185) <=> (~((~v88(constB185, bitIndex1)) | (~v88(constB185, bitIndex2)) | v88(constB185, bitIndex0)))))),
% 8.61/6.53 inference(transitivity,[status(thm)],[24943, 24941])).
% 8.61/6.53 tff(24945,plain,
% 8.61/6.53 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB185) <=> (~(v88(constB185, bitIndex0) | (~v88(constB185, bitIndex1)) | (~v88(constB185, bitIndex2)))))),
% 8.61/6.53 inference(quant_inst,[status(thm)],[])).
% 8.61/6.53 tff(24946,plain,
% 8.61/6.53 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB185) <=> (~((~v88(constB185, bitIndex1)) | (~v88(constB185, bitIndex2)) | v88(constB185, bitIndex0))))),
% 8.61/6.53 inference(modus_ponens,[status(thm)],[24945, 24944])).
% 8.61/6.53 tff(24947,plain,
% 8.61/6.53 (v144(constB185) <=> (~((~v88(constB185, bitIndex1)) | (~v88(constB185, bitIndex2)) | v88(constB185, bitIndex0)))),
% 8.61/6.53 inference(unit_resolution,[status(thm)],[24946, 10347])).
% 8.61/6.53 tff(24948,plain,
% 8.61/6.53 ((~![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))) | (~(((~v88(constB185, bitIndex1)) <=> v90(constB185, bitIndex1)) | ((~v88(constB185, bitIndex2)) <=> v90(constB185, bitIndex2)) | ((~v88(constB185, bitIndex0)) <=> v90(constB185, bitIndex0))))),
% 8.61/6.53 inference(quant_inst,[status(thm)],[])).
% 8.61/6.53 tff(24949,plain,
% 8.61/6.53 (~(((~v88(constB185, bitIndex1)) <=> v90(constB185, bitIndex1)) | ((~v88(constB185, bitIndex2)) <=> v90(constB185, bitIndex2)) | ((~v88(constB185, bitIndex0)) <=> v90(constB185, bitIndex0)))),
% 8.61/6.53 inference(unit_resolution,[status(thm)],[24948, 428])).
% 8.61/6.53 tff(24950,plain,
% 8.61/6.53 ((((~v88(constB185, bitIndex1)) <=> v90(constB185, bitIndex1)) | ((~v88(constB185, bitIndex2)) <=> v90(constB185, bitIndex2)) | ((~v88(constB185, bitIndex0)) <=> v90(constB185, bitIndex0))) | (~((~v88(constB185, bitIndex2)) <=> v90(constB185, bitIndex2)))),
% 8.61/6.53 inference(tautology,[status(thm)],[])).
% 8.61/6.53 tff(24951,plain,
% 8.61/6.53 (~((~v88(constB185, bitIndex2)) <=> v90(constB185, bitIndex2))),
% 8.61/6.53 inference(unit_resolution,[status(thm)],[24950, 24949])).
% 8.61/6.53 tff(24952,plain,
% 8.61/6.53 (((~v88(constB185, bitIndex2)) <=> v90(constB185, bitIndex2)) | v88(constB185, bitIndex2) | (~v90(constB185, bitIndex2))),
% 8.61/6.53 inference(tautology,[status(thm)],[])).
% 8.61/6.53 tff(24953,plain,
% 8.61/6.53 (v88(constB185, bitIndex2)),
% 8.61/6.53 inference(unit_resolution,[status(thm)],[24952, 23108, 24951])).
% 8.61/6.53 tff(24954,plain,
% 8.61/6.53 ((((~v88(constB185, bitIndex1)) <=> v90(constB185, bitIndex1)) | ((~v88(constB185, bitIndex2)) <=> v90(constB185, bitIndex2)) | ((~v88(constB185, bitIndex0)) <=> v90(constB185, bitIndex0))) | (~((~v88(constB185, bitIndex0)) <=> v90(constB185, bitIndex0)))),
% 8.61/6.53 inference(tautology,[status(thm)],[])).
% 8.61/6.53 tff(24955,plain,
% 8.61/6.53 (~((~v88(constB185, bitIndex0)) <=> v90(constB185, bitIndex0))),
% 8.61/6.53 inference(unit_resolution,[status(thm)],[24954, 24949])).
% 8.61/6.53 tff(24956,plain,
% 8.61/6.53 (((~v88(constB185, bitIndex0)) <=> v90(constB185, bitIndex0)) | (~v88(constB185, bitIndex0)) | v90(constB185, bitIndex0)),
% 8.61/6.53 inference(tautology,[status(thm)],[])).
% 8.61/6.53 tff(24957,plain,
% 8.61/6.53 (~v88(constB185, bitIndex0)),
% 8.61/6.53 inference(unit_resolution,[status(thm)],[24956, 23259, 24955])).
% 8.61/6.53 tff(24958,plain,
% 8.61/6.53 ((((~v88(constB185, bitIndex1)) <=> v90(constB185, bitIndex1)) | ((~v88(constB185, bitIndex2)) <=> v90(constB185, bitIndex2)) | ((~v88(constB185, bitIndex0)) <=> v90(constB185, bitIndex0))) | (~((~v88(constB185, bitIndex1)) <=> v90(constB185, bitIndex1)))),
% 8.61/6.53 inference(tautology,[status(thm)],[])).
% 8.61/6.53 tff(24959,plain,
% 8.61/6.53 (~((~v88(constB185, bitIndex1)) <=> v90(constB185, bitIndex1))),
% 8.61/6.53 inference(unit_resolution,[status(thm)],[24958, 24949])).
% 8.61/6.53 tff(24960,plain,
% 8.61/6.53 (((~v88(constB185, bitIndex1)) <=> v90(constB185, bitIndex1)) | v88(constB185, bitIndex1) | (~v90(constB185, bitIndex1))),
% 8.61/6.53 inference(tautology,[status(thm)],[])).
% 8.61/6.53 tff(24961,plain,
% 8.61/6.53 (v88(constB185, bitIndex1)),
% 8.61/6.53 inference(unit_resolution,[status(thm)],[24960, 23137, 24959])).
% 8.61/6.53 tff(24962,plain,
% 8.61/6.53 ((~((~v88(constB185, bitIndex1)) | (~v88(constB185, bitIndex2)) | v88(constB185, bitIndex0))) | (~v88(constB185, bitIndex1)) | (~v88(constB185, bitIndex2)) | v88(constB185, bitIndex0)),
% 8.61/6.53 inference(tautology,[status(thm)],[])).
% 8.61/6.53 tff(24963,plain,
% 8.61/6.53 (~((~v88(constB185, bitIndex1)) | (~v88(constB185, bitIndex2)) | v88(constB185, bitIndex0))),
% 8.61/6.53 inference(unit_resolution,[status(thm)],[24962, 24961, 24957, 24953])).
% 8.61/6.53 tff(24964,plain,
% 8.61/6.53 ((~(v144(constB185) <=> (~((~v88(constB185, bitIndex1)) | (~v88(constB185, bitIndex2)) | v88(constB185, bitIndex0))))) | v144(constB185) | ((~v88(constB185, bitIndex1)) | (~v88(constB185, bitIndex2)) | v88(constB185, bitIndex0))),
% 8.61/6.53 inference(tautology,[status(thm)],[])).
% 8.61/6.53 tff(24965,plain,
% 8.61/6.53 (v144(constB185)),
% 8.61/6.53 inference(unit_resolution,[status(thm)],[24964, 24963, 24947])).
% 8.61/6.53 tff(24966,plain,
% 8.61/6.53 ((v143(constB185) | v144(constB185)) | (~v144(constB185))),
% 8.61/6.53 inference(tautology,[status(thm)],[])).
% 8.61/6.53 tff(24967,plain,
% 8.61/6.53 (v143(constB185) | v144(constB185)),
% 8.61/6.53 inference(unit_resolution,[status(thm)],[24966, 24965])).
% 8.61/6.53 tff(24968,plain,
% 8.61/6.53 ((~(v142(constB185) <=> (v143(constB185) | v144(constB185)))) | v142(constB185) | (~(v143(constB185) | v144(constB185)))),
% 8.61/6.53 inference(tautology,[status(thm)],[])).
% 8.61/6.53 tff(24969,plain,
% 8.61/6.53 (v142(constB185)),
% 8.61/6.53 inference(unit_resolution,[status(thm)],[24968, 24967, 24940])).
% 8.61/6.53 tff(24970,plain,
% 8.61/6.53 ((v137(constB185) | v142(constB185)) | (~v142(constB185))),
% 8.61/6.53 inference(tautology,[status(thm)],[])).
% 8.61/6.53 tff(24971,plain,
% 8.61/6.53 (v137(constB185) | v142(constB185)),
% 8.61/6.53 inference(unit_resolution,[status(thm)],[24970, 24969])).
% 8.61/6.53 tff(24972,plain,
% 8.61/6.53 ((~(v136(constB185) <=> (v137(constB185) | v142(constB185)))) | v136(constB185) | (~(v137(constB185) | v142(constB185)))),
% 8.61/6.53 inference(tautology,[status(thm)],[])).
% 8.61/6.53 tff(24973,plain,
% 8.61/6.53 ((~(v136(constB185) <=> (v137(constB185) | v142(constB185)))) | v136(constB185)),
% 8.61/6.53 inference(unit_resolution,[status(thm)],[24972, 24971])).
% 8.61/6.53 tff(24974,plain,
% 8.61/6.53 (v136(constB185)),
% 8.61/6.53 inference(unit_resolution,[status(thm)],[24973, 24938])).
% 8.61/6.53 tff(24975,plain,
% 8.61/6.53 ((v136(constB185) | v145(constB185)) | (~v136(constB185))),
% 8.61/6.53 inference(tautology,[status(thm)],[])).
% 8.61/6.53 tff(24976,plain,
% 8.61/6.53 (v136(constB185) | v145(constB185)),
% 8.61/6.53 inference(unit_resolution,[status(thm)],[24975, 24974])).
% 8.61/6.53 tff(24977,plain,
% 8.61/6.53 ((~(v135(constB185) <=> (v136(constB185) | v145(constB185)))) | v135(constB185) | (~(v136(constB185) | v145(constB185)))),
% 8.61/6.53 inference(tautology,[status(thm)],[])).
% 8.61/6.53 tff(24978,plain,
% 8.61/6.53 (v135(constB185)),
% 8.61/6.53 inference(unit_resolution,[status(thm)],[24977, 24976, 24936])).
% 8.61/6.53 tff(24979,plain,
% 8.61/6.53 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB185)) | (v86(constB185) <=> v148(constB185)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB185)) | (v86(constB185) <=> v148(constB185)))),
% 8.61/6.53 inference(rewrite,[status(thm)],[])).
% 8.61/6.53 tff(24980,plain,
% 8.61/6.53 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB185)) | (v86(constB185) <=> v148(constB185)))),
% 8.61/6.53 inference(quant_inst,[status(thm)],[])).
% 8.61/6.53 tff(24981,plain,
% 8.61/6.53 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB185)) | (v86(constB185) <=> v148(constB185))),
% 8.61/6.53 inference(modus_ponens,[status(thm)],[24980, 24979])).
% 8.61/6.53 tff(24982,plain,
% 8.61/6.53 (v86(constB185) <=> v148(constB185)),
% 8.61/6.53 inference(unit_resolution,[status(thm)],[24981, 14818, 24978])).
% 8.61/6.53 tff(24983,plain,
% 8.61/6.53 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB185) | (~v142(constB185)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB185) | (~v142(constB185)))),
% 8.61/6.53 inference(rewrite,[status(thm)],[])).
% 8.61/6.53 tff(24984,plain,
% 8.61/6.53 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB185) | (~v142(constB185)))),
% 8.61/6.53 inference(quant_inst,[status(thm)],[])).
% 8.61/6.53 tff(24985,plain,
% 8.61/6.53 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB185) | (~v142(constB185))),
% 8.61/6.53 inference(modus_ponens,[status(thm)],[24984, 24983])).
% 8.61/6.53 tff(24986,plain,
% 8.61/6.53 (v148(constB185)),
% 8.61/6.53 inference(unit_resolution,[status(thm)],[24985, 14832, 24969])).
% 8.61/6.53 tff(24987,plain,
% 8.61/6.53 ((~(v86(constB185) <=> v148(constB185))) | v86(constB185) | (~v148(constB185))),
% 8.61/6.53 inference(tautology,[status(thm)],[])).
% 8.61/6.53 tff(24988,plain,
% 8.61/6.53 ((~(v86(constB185) <=> v148(constB185))) | v86(constB185)),
% 8.61/6.53 inference(unit_resolution,[status(thm)],[24987, 24986])).
% 8.61/6.53 tff(24989,plain,
% 8.61/6.53 (v86(constB185)),
% 8.61/6.53 inference(unit_resolution,[status(thm)],[24988, 24982])).
% 8.61/6.53 tff(24990,plain,
% 8.61/6.53 ($false),
% 8.61/6.53 inference(unit_resolution,[status(thm)],[24989, 24934])).
% 8.61/6.53 tff(24991,plain,(~(constB185 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.61/6.53 tff(24992,assumption,(constB115 = VarCurr!0), introduced(assumption)).
% 8.61/6.53 tff(24993,plain,
% 8.61/6.53 (v86(constB115) <=> v86(VarCurr!0)),
% 8.61/6.53 inference(monotonicity,[status(thm)],[24992])).
% 8.61/6.53 tff(24994,plain,
% 8.61/6.53 (v86(VarCurr!0) <=> v86(constB115)),
% 8.61/6.53 inference(symmetry,[status(thm)],[24993])).
% 8.61/6.53 tff(24995,plain,
% 8.61/6.53 ((~v86(VarCurr!0)) <=> (~v86(constB115))),
% 8.61/6.53 inference(monotonicity,[status(thm)],[24994])).
% 8.61/6.53 tff(24996,plain,
% 8.61/6.53 (~v86(constB115)),
% 8.61/6.53 inference(modus_ponens,[status(thm)],[14736, 24995])).
% 8.61/6.53 tff(24997,plain,
% 8.61/6.53 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB115) <=> (v136(constB115) | v145(constB115)))),
% 8.61/6.53 inference(quant_inst,[status(thm)],[])).
% 8.61/6.53 tff(24998,plain,
% 8.61/6.53 (v135(constB115) <=> (v136(constB115) | v145(constB115))),
% 8.61/6.53 inference(unit_resolution,[status(thm)],[24997, 14744])).
% 8.61/6.53 tff(24999,plain,
% 8.61/6.53 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB115) <=> (v137(constB115) | v142(constB115)))),
% 8.61/6.53 inference(quant_inst,[status(thm)],[])).
% 8.61/6.53 tff(25000,plain,
% 8.61/6.53 (v136(constB115) <=> (v137(constB115) | v142(constB115))),
% 8.61/6.53 inference(unit_resolution,[status(thm)],[24999, 14753])).
% 8.61/6.53 tff(25001,plain,
% 8.61/6.53 ((v137(constB115) | v142(constB115)) | (~v142(constB115))),
% 8.61/6.53 inference(tautology,[status(thm)],[])).
% 8.61/6.53 tff(25002,plain,
% 8.61/6.53 (v137(constB115) | v142(constB115)),
% 8.61/6.53 inference(unit_resolution,[status(thm)],[25001, 14148])).
% 8.61/6.53 tff(25003,plain,
% 8.61/6.53 ((~(v136(constB115) <=> (v137(constB115) | v142(constB115)))) | v136(constB115) | (~(v137(constB115) | v142(constB115)))),
% 8.61/6.53 inference(tautology,[status(thm)],[])).
% 8.61/6.53 tff(25004,plain,
% 8.61/6.53 ((~(v136(constB115) <=> (v137(constB115) | v142(constB115)))) | v136(constB115)),
% 8.61/6.53 inference(unit_resolution,[status(thm)],[25003, 25002])).
% 8.61/6.53 tff(25005,plain,
% 8.61/6.53 (v136(constB115)),
% 8.61/6.53 inference(unit_resolution,[status(thm)],[25004, 25000])).
% 8.61/6.53 tff(25006,plain,
% 8.61/6.53 ((v136(constB115) | v145(constB115)) | (~v136(constB115))),
% 8.61/6.53 inference(tautology,[status(thm)],[])).
% 8.61/6.53 tff(25007,plain,
% 8.61/6.53 (v136(constB115) | v145(constB115)),
% 8.61/6.53 inference(unit_resolution,[status(thm)],[25006, 25005])).
% 8.61/6.53 tff(25008,plain,
% 8.61/6.53 ((~(v135(constB115) <=> (v136(constB115) | v145(constB115)))) | v135(constB115) | (~(v136(constB115) | v145(constB115)))),
% 8.61/6.53 inference(tautology,[status(thm)],[])).
% 8.61/6.53 tff(25009,plain,
% 8.61/6.53 (v135(constB115)),
% 8.61/6.53 inference(unit_resolution,[status(thm)],[25008, 25007, 24998])).
% 8.61/6.53 tff(25010,plain,
% 8.61/6.53 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB115)) | (v86(constB115) <=> v148(constB115)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB115)) | (v86(constB115) <=> v148(constB115)))),
% 8.61/6.53 inference(rewrite,[status(thm)],[])).
% 8.61/6.53 tff(25011,plain,
% 8.61/6.53 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB115)) | (v86(constB115) <=> v148(constB115)))),
% 8.61/6.53 inference(quant_inst,[status(thm)],[])).
% 8.61/6.53 tff(25012,plain,
% 8.61/6.53 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB115)) | (v86(constB115) <=> v148(constB115))),
% 8.61/6.53 inference(modus_ponens,[status(thm)],[25011, 25010])).
% 8.61/6.53 tff(25013,plain,
% 8.61/6.53 (v86(constB115) <=> v148(constB115)),
% 8.61/6.53 inference(unit_resolution,[status(thm)],[25012, 14818, 25009])).
% 8.61/6.53 tff(25014,plain,
% 8.61/6.53 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB115) | (~v142(constB115)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB115) | (~v142(constB115)))),
% 8.61/6.53 inference(rewrite,[status(thm)],[])).
% 8.61/6.53 tff(25015,plain,
% 8.61/6.53 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB115) | (~v142(constB115)))),
% 8.61/6.53 inference(quant_inst,[status(thm)],[])).
% 8.61/6.53 tff(25016,plain,
% 8.61/6.53 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB115) | (~v142(constB115))),
% 8.61/6.53 inference(modus_ponens,[status(thm)],[25015, 25014])).
% 8.61/6.53 tff(25017,plain,
% 8.61/6.53 (v148(constB115)),
% 8.61/6.53 inference(unit_resolution,[status(thm)],[25016, 14832, 14148])).
% 8.61/6.53 tff(25018,plain,
% 8.61/6.53 ((~(v86(constB115) <=> v148(constB115))) | v86(constB115) | (~v148(constB115))),
% 8.61/6.53 inference(tautology,[status(thm)],[])).
% 8.61/6.53 tff(25019,plain,
% 8.61/6.53 ((~(v86(constB115) <=> v148(constB115))) | v86(constB115)),
% 8.61/6.53 inference(unit_resolution,[status(thm)],[25018, 25017])).
% 8.61/6.53 tff(25020,plain,
% 8.61/6.53 (v86(constB115)),
% 8.61/6.53 inference(unit_resolution,[status(thm)],[25019, 25013])).
% 8.61/6.53 tff(25021,plain,
% 8.61/6.53 ($false),
% 8.61/6.53 inference(unit_resolution,[status(thm)],[25020, 24996])).
% 8.61/6.53 tff(25022,plain,(~(constB115 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.61/6.53 tff(25023,assumption,(constB19 = VarCurr!0), introduced(assumption)).
% 8.61/6.53 tff(25024,plain,
% 8.61/6.53 (v86(constB19) <=> v86(VarCurr!0)),
% 8.61/6.53 inference(monotonicity,[status(thm)],[25023])).
% 8.61/6.53 tff(25025,plain,
% 8.61/6.53 (v86(VarCurr!0) <=> v86(constB19)),
% 8.61/6.53 inference(symmetry,[status(thm)],[25024])).
% 8.61/6.53 tff(25026,plain,
% 8.61/6.53 ((~v86(VarCurr!0)) <=> (~v86(constB19))),
% 8.61/6.53 inference(monotonicity,[status(thm)],[25025])).
% 8.61/6.53 tff(25027,plain,
% 8.61/6.53 (~v86(constB19)),
% 8.61/6.53 inference(modus_ponens,[status(thm)],[14736, 25026])).
% 8.61/6.53 tff(25028,plain,
% 8.61/6.53 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB19) <=> (v136(constB19) | v145(constB19)))),
% 8.61/6.53 inference(quant_inst,[status(thm)],[])).
% 8.61/6.53 tff(25029,plain,
% 8.61/6.53 (v135(constB19) <=> (v136(constB19) | v145(constB19))),
% 8.61/6.53 inference(unit_resolution,[status(thm)],[25028, 14744])).
% 8.61/6.53 tff(25030,plain,
% 8.61/6.53 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB19) <=> (v137(constB19) | v142(constB19)))),
% 8.61/6.53 inference(quant_inst,[status(thm)],[])).
% 8.61/6.53 tff(25031,plain,
% 8.61/6.53 (v136(constB19) <=> (v137(constB19) | v142(constB19))),
% 8.61/6.53 inference(unit_resolution,[status(thm)],[25030, 14753])).
% 8.61/6.53 tff(25032,plain,
% 8.61/6.53 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB19) <=> (v143(constB19) | v144(constB19)))),
% 8.61/6.53 inference(quant_inst,[status(thm)],[])).
% 8.61/6.53 tff(25033,plain,
% 8.61/6.53 (v142(constB19) <=> (v143(constB19) | v144(constB19))),
% 8.61/6.53 inference(unit_resolution,[status(thm)],[25032, 10332])).
% 8.61/6.53 tff(25034,plain,
% 8.61/6.53 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB19) <=> (~((~v88(constB19, bitIndex1)) | v88(constB19, bitIndex2) | v88(constB19, bitIndex0))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB19) <=> (~((~v88(constB19, bitIndex1)) | v88(constB19, bitIndex2) | v88(constB19, bitIndex0)))))),
% 8.61/6.53 inference(rewrite,[status(thm)],[])).
% 8.61/6.53 tff(25035,plain,
% 8.61/6.53 ((v143(constB19) <=> (~(v88(constB19, bitIndex0) | v88(constB19, bitIndex2) | (~v88(constB19, bitIndex1))))) <=> (v143(constB19) <=> (~((~v88(constB19, bitIndex1)) | v88(constB19, bitIndex2) | v88(constB19, bitIndex0))))),
% 8.61/6.53 inference(rewrite,[status(thm)],[])).
% 8.61/6.53 tff(25036,plain,
% 8.61/6.53 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB19) <=> (~(v88(constB19, bitIndex0) | v88(constB19, bitIndex2) | (~v88(constB19, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB19) <=> (~((~v88(constB19, bitIndex1)) | v88(constB19, bitIndex2) | v88(constB19, bitIndex0)))))),
% 8.61/6.53 inference(monotonicity,[status(thm)],[25035])).
% 8.61/6.53 tff(25037,plain,
% 8.61/6.53 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB19) <=> (~(v88(constB19, bitIndex0) | v88(constB19, bitIndex2) | (~v88(constB19, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB19) <=> (~((~v88(constB19, bitIndex1)) | v88(constB19, bitIndex2) | v88(constB19, bitIndex0)))))),
% 8.61/6.53 inference(transitivity,[status(thm)],[25036, 25034])).
% 8.61/6.53 tff(25038,plain,
% 8.61/6.53 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB19) <=> (~(v88(constB19, bitIndex0) | v88(constB19, bitIndex2) | (~v88(constB19, bitIndex1)))))),
% 8.61/6.53 inference(quant_inst,[status(thm)],[])).
% 8.61/6.53 tff(25039,plain,
% 8.61/6.53 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB19) <=> (~((~v88(constB19, bitIndex1)) | v88(constB19, bitIndex2) | v88(constB19, bitIndex0))))),
% 8.61/6.53 inference(modus_ponens,[status(thm)],[25038, 25037])).
% 8.61/6.53 tff(25040,plain,
% 8.61/6.53 (v143(constB19) <=> (~((~v88(constB19, bitIndex1)) | v88(constB19, bitIndex2) | v88(constB19, bitIndex0)))),
% 8.61/6.53 inference(unit_resolution,[status(thm)],[25039, 14770])).
% 8.61/6.53 tff(25041,plain,
% 8.61/6.53 ((~![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))) | (~(((~v88(constB19, bitIndex1)) <=> v90(constB19, bitIndex1)) | ((~v88(constB19, bitIndex2)) <=> v90(constB19, bitIndex2)) | ((~v88(constB19, bitIndex0)) <=> v90(constB19, bitIndex0))))),
% 8.61/6.53 inference(quant_inst,[status(thm)],[])).
% 8.61/6.53 tff(25042,plain,
% 8.61/6.53 (~(((~v88(constB19, bitIndex1)) <=> v90(constB19, bitIndex1)) | ((~v88(constB19, bitIndex2)) <=> v90(constB19, bitIndex2)) | ((~v88(constB19, bitIndex0)) <=> v90(constB19, bitIndex0)))),
% 8.61/6.53 inference(unit_resolution,[status(thm)],[25041, 428])).
% 8.61/6.53 tff(25043,plain,
% 8.61/6.53 ((((~v88(constB19, bitIndex1)) <=> v90(constB19, bitIndex1)) | ((~v88(constB19, bitIndex2)) <=> v90(constB19, bitIndex2)) | ((~v88(constB19, bitIndex0)) <=> v90(constB19, bitIndex0))) | (~((~v88(constB19, bitIndex2)) <=> v90(constB19, bitIndex2)))),
% 8.61/6.53 inference(tautology,[status(thm)],[])).
% 8.61/6.53 tff(25044,plain,
% 8.61/6.53 (~((~v88(constB19, bitIndex2)) <=> v90(constB19, bitIndex2))),
% 8.61/6.53 inference(unit_resolution,[status(thm)],[25043, 25042])).
% 8.61/6.53 tff(25045,plain,
% 8.61/6.53 (((~v88(constB19, bitIndex2)) <=> v90(constB19, bitIndex2)) | (~v88(constB19, bitIndex2)) | v90(constB19, bitIndex2)),
% 8.61/6.53 inference(tautology,[status(thm)],[])).
% 8.61/6.53 tff(25046,plain,
% 8.61/6.53 (~v88(constB19, bitIndex2)),
% 8.61/6.53 inference(unit_resolution,[status(thm)],[25045, 4829, 25044])).
% 8.61/6.53 tff(25047,plain,
% 8.61/6.53 ((((~v88(constB19, bitIndex1)) <=> v90(constB19, bitIndex1)) | ((~v88(constB19, bitIndex2)) <=> v90(constB19, bitIndex2)) | ((~v88(constB19, bitIndex0)) <=> v90(constB19, bitIndex0))) | (~((~v88(constB19, bitIndex0)) <=> v90(constB19, bitIndex0)))),
% 8.61/6.53 inference(tautology,[status(thm)],[])).
% 8.61/6.53 tff(25048,plain,
% 8.61/6.53 (~((~v88(constB19, bitIndex0)) <=> v90(constB19, bitIndex0))),
% 8.61/6.53 inference(unit_resolution,[status(thm)],[25047, 25042])).
% 8.61/6.53 tff(25049,plain,
% 8.61/6.53 (((~v88(constB19, bitIndex0)) <=> v90(constB19, bitIndex0)) | (~v88(constB19, bitIndex0)) | v90(constB19, bitIndex0)),
% 8.61/6.53 inference(tautology,[status(thm)],[])).
% 8.61/6.53 tff(25050,plain,
% 8.61/6.53 (~v88(constB19, bitIndex0)),
% 8.61/6.53 inference(unit_resolution,[status(thm)],[25049, 4847, 25048])).
% 8.61/6.53 tff(25051,plain,
% 8.61/6.53 ((((~v88(constB19, bitIndex1)) <=> v90(constB19, bitIndex1)) | ((~v88(constB19, bitIndex2)) <=> v90(constB19, bitIndex2)) | ((~v88(constB19, bitIndex0)) <=> v90(constB19, bitIndex0))) | (~((~v88(constB19, bitIndex1)) <=> v90(constB19, bitIndex1)))),
% 8.61/6.53 inference(tautology,[status(thm)],[])).
% 8.61/6.53 tff(25052,plain,
% 8.61/6.53 (~((~v88(constB19, bitIndex1)) <=> v90(constB19, bitIndex1))),
% 8.61/6.53 inference(unit_resolution,[status(thm)],[25051, 25042])).
% 8.61/6.53 tff(25053,plain,
% 8.61/6.53 (((~v88(constB19, bitIndex1)) <=> v90(constB19, bitIndex1)) | v88(constB19, bitIndex1) | (~v90(constB19, bitIndex1))),
% 8.61/6.53 inference(tautology,[status(thm)],[])).
% 8.61/6.53 tff(25054,plain,
% 8.61/6.53 (v88(constB19, bitIndex1)),
% 8.61/6.53 inference(unit_resolution,[status(thm)],[25053, 4865, 25052])).
% 8.61/6.53 tff(25055,plain,
% 8.61/6.53 ((~((~v88(constB19, bitIndex1)) | v88(constB19, bitIndex2) | v88(constB19, bitIndex0))) | (~v88(constB19, bitIndex1)) | v88(constB19, bitIndex2) | v88(constB19, bitIndex0)),
% 8.61/6.53 inference(tautology,[status(thm)],[])).
% 8.61/6.53 tff(25056,plain,
% 8.61/6.53 (~((~v88(constB19, bitIndex1)) | v88(constB19, bitIndex2) | v88(constB19, bitIndex0))),
% 8.61/6.53 inference(unit_resolution,[status(thm)],[25055, 25054, 25050, 25046])).
% 8.61/6.53 tff(25057,plain,
% 8.61/6.53 ((~(v143(constB19) <=> (~((~v88(constB19, bitIndex1)) | v88(constB19, bitIndex2) | v88(constB19, bitIndex0))))) | v143(constB19) | ((~v88(constB19, bitIndex1)) | v88(constB19, bitIndex2) | v88(constB19, bitIndex0))),
% 8.61/6.53 inference(tautology,[status(thm)],[])).
% 8.61/6.53 tff(25058,plain,
% 8.61/6.53 (v143(constB19)),
% 8.61/6.53 inference(unit_resolution,[status(thm)],[25057, 25056, 25040])).
% 8.61/6.53 tff(25059,plain,
% 8.61/6.53 ((v143(constB19) | v144(constB19)) | (~v143(constB19))),
% 8.61/6.53 inference(tautology,[status(thm)],[])).
% 8.61/6.53 tff(25060,plain,
% 8.61/6.53 (v143(constB19) | v144(constB19)),
% 8.61/6.53 inference(unit_resolution,[status(thm)],[25059, 25058])).
% 8.61/6.53 tff(25061,plain,
% 8.61/6.53 ((~(v142(constB19) <=> (v143(constB19) | v144(constB19)))) | v142(constB19) | (~(v143(constB19) | v144(constB19)))),
% 8.61/6.53 inference(tautology,[status(thm)],[])).
% 8.61/6.53 tff(25062,plain,
% 8.61/6.53 (v142(constB19)),
% 8.61/6.53 inference(unit_resolution,[status(thm)],[25061, 25060, 25033])).
% 8.61/6.53 tff(25063,plain,
% 8.61/6.53 ((v137(constB19) | v142(constB19)) | (~v142(constB19))),
% 8.61/6.53 inference(tautology,[status(thm)],[])).
% 8.61/6.53 tff(25064,plain,
% 8.61/6.53 (v137(constB19) | v142(constB19)),
% 8.61/6.53 inference(unit_resolution,[status(thm)],[25063, 25062])).
% 8.61/6.53 tff(25065,plain,
% 8.61/6.53 ((~(v136(constB19) <=> (v137(constB19) | v142(constB19)))) | v136(constB19) | (~(v137(constB19) | v142(constB19)))),
% 8.61/6.53 inference(tautology,[status(thm)],[])).
% 8.61/6.53 tff(25066,plain,
% 8.61/6.53 ((~(v136(constB19) <=> (v137(constB19) | v142(constB19)))) | v136(constB19)),
% 8.61/6.53 inference(unit_resolution,[status(thm)],[25065, 25064])).
% 8.61/6.53 tff(25067,plain,
% 8.61/6.53 (v136(constB19)),
% 8.61/6.53 inference(unit_resolution,[status(thm)],[25066, 25031])).
% 8.61/6.53 tff(25068,plain,
% 8.61/6.53 ((v136(constB19) | v145(constB19)) | (~v136(constB19))),
% 8.61/6.53 inference(tautology,[status(thm)],[])).
% 8.61/6.53 tff(25069,plain,
% 8.61/6.53 (v136(constB19) | v145(constB19)),
% 8.61/6.53 inference(unit_resolution,[status(thm)],[25068, 25067])).
% 8.61/6.53 tff(25070,plain,
% 8.61/6.53 ((~(v135(constB19) <=> (v136(constB19) | v145(constB19)))) | v135(constB19) | (~(v136(constB19) | v145(constB19)))),
% 8.61/6.53 inference(tautology,[status(thm)],[])).
% 8.61/6.53 tff(25071,plain,
% 8.61/6.53 (v135(constB19)),
% 8.61/6.53 inference(unit_resolution,[status(thm)],[25070, 25069, 25029])).
% 8.61/6.53 tff(25072,plain,
% 8.61/6.53 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB19)) | (v86(constB19) <=> v148(constB19)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB19)) | (v86(constB19) <=> v148(constB19)))),
% 8.61/6.53 inference(rewrite,[status(thm)],[])).
% 8.61/6.53 tff(25073,plain,
% 8.61/6.53 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB19)) | (v86(constB19) <=> v148(constB19)))),
% 8.61/6.53 inference(quant_inst,[status(thm)],[])).
% 8.61/6.53 tff(25074,plain,
% 8.61/6.53 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB19)) | (v86(constB19) <=> v148(constB19))),
% 8.61/6.53 inference(modus_ponens,[status(thm)],[25073, 25072])).
% 8.61/6.53 tff(25075,plain,
% 8.61/6.53 (v86(constB19) <=> v148(constB19)),
% 8.61/6.53 inference(unit_resolution,[status(thm)],[25074, 14818, 25071])).
% 8.61/6.53 tff(25076,plain,
% 8.61/6.53 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB19) | (~v142(constB19)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB19) | (~v142(constB19)))),
% 8.61/6.53 inference(rewrite,[status(thm)],[])).
% 8.61/6.53 tff(25077,plain,
% 8.61/6.53 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB19) | (~v142(constB19)))),
% 8.61/6.53 inference(quant_inst,[status(thm)],[])).
% 8.61/6.53 tff(25078,plain,
% 8.61/6.53 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB19) | (~v142(constB19))),
% 8.61/6.53 inference(modus_ponens,[status(thm)],[25077, 25076])).
% 8.61/6.53 tff(25079,plain,
% 8.61/6.53 (v148(constB19)),
% 8.61/6.53 inference(unit_resolution,[status(thm)],[25078, 14832, 25062])).
% 8.61/6.53 tff(25080,plain,
% 8.61/6.53 ((~(v86(constB19) <=> v148(constB19))) | v86(constB19) | (~v148(constB19))),
% 8.61/6.53 inference(tautology,[status(thm)],[])).
% 8.61/6.53 tff(25081,plain,
% 8.61/6.53 ((~(v86(constB19) <=> v148(constB19))) | v86(constB19)),
% 8.61/6.53 inference(unit_resolution,[status(thm)],[25080, 25079])).
% 8.61/6.53 tff(25082,plain,
% 8.61/6.53 (v86(constB19)),
% 8.61/6.53 inference(unit_resolution,[status(thm)],[25081, 25075])).
% 8.61/6.53 tff(25083,plain,
% 8.61/6.53 ($false),
% 8.61/6.53 inference(unit_resolution,[status(thm)],[25082, 25027])).
% 8.61/6.53 tff(25084,plain,(~(constB19 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.61/6.53 tff(25085,assumption,(constB55 = VarCurr!0), introduced(assumption)).
% 8.61/6.53 tff(25086,plain,
% 8.61/6.53 (v86(constB55) <=> v86(VarCurr!0)),
% 8.61/6.53 inference(monotonicity,[status(thm)],[25085])).
% 8.61/6.53 tff(25087,plain,
% 8.61/6.53 (v86(VarCurr!0) <=> v86(constB55)),
% 8.61/6.53 inference(symmetry,[status(thm)],[25086])).
% 8.61/6.53 tff(25088,plain,
% 8.61/6.53 ((~v86(VarCurr!0)) <=> (~v86(constB55))),
% 8.61/6.53 inference(monotonicity,[status(thm)],[25087])).
% 8.61/6.53 tff(25089,plain,
% 8.61/6.53 (~v86(constB55)),
% 8.61/6.53 inference(modus_ponens,[status(thm)],[14736, 25088])).
% 8.61/6.53 tff(25090,plain,
% 8.61/6.53 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB55) <=> (v136(constB55) | v145(constB55)))),
% 8.61/6.53 inference(quant_inst,[status(thm)],[])).
% 8.61/6.53 tff(25091,plain,
% 8.61/6.53 (v135(constB55) <=> (v136(constB55) | v145(constB55))),
% 8.61/6.53 inference(unit_resolution,[status(thm)],[25090, 14744])).
% 8.61/6.53 tff(25092,plain,
% 8.61/6.53 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB55) <=> (v137(constB55) | v142(constB55)))),
% 8.61/6.53 inference(quant_inst,[status(thm)],[])).
% 8.61/6.53 tff(25093,plain,
% 8.61/6.53 (v136(constB55) <=> (v137(constB55) | v142(constB55))),
% 8.61/6.53 inference(unit_resolution,[status(thm)],[25092, 14753])).
% 8.61/6.53 tff(25094,plain,
% 8.61/6.53 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB55) <=> (v143(constB55) | v144(constB55)))),
% 8.61/6.53 inference(quant_inst,[status(thm)],[])).
% 8.61/6.53 tff(25095,plain,
% 8.61/6.53 (v142(constB55) <=> (v143(constB55) | v144(constB55))),
% 8.61/6.53 inference(unit_resolution,[status(thm)],[25094, 10332])).
% 8.61/6.53 tff(25096,plain,
% 8.61/6.53 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB55) <=> (~((~v88(constB55, bitIndex1)) | (~v88(constB55, bitIndex2)) | v88(constB55, bitIndex0))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB55) <=> (~((~v88(constB55, bitIndex1)) | (~v88(constB55, bitIndex2)) | v88(constB55, bitIndex0)))))),
% 8.61/6.53 inference(rewrite,[status(thm)],[])).
% 8.61/6.53 tff(25097,plain,
% 8.61/6.53 ((v144(constB55) <=> (~(v88(constB55, bitIndex0) | (~v88(constB55, bitIndex1)) | (~v88(constB55, bitIndex2))))) <=> (v144(constB55) <=> (~((~v88(constB55, bitIndex1)) | (~v88(constB55, bitIndex2)) | v88(constB55, bitIndex0))))),
% 8.61/6.53 inference(rewrite,[status(thm)],[])).
% 8.61/6.53 tff(25098,plain,
% 8.61/6.53 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB55) <=> (~(v88(constB55, bitIndex0) | (~v88(constB55, bitIndex1)) | (~v88(constB55, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB55) <=> (~((~v88(constB55, bitIndex1)) | (~v88(constB55, bitIndex2)) | v88(constB55, bitIndex0)))))),
% 8.61/6.53 inference(monotonicity,[status(thm)],[25097])).
% 8.61/6.53 tff(25099,plain,
% 8.61/6.53 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB55) <=> (~(v88(constB55, bitIndex0) | (~v88(constB55, bitIndex1)) | (~v88(constB55, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB55) <=> (~((~v88(constB55, bitIndex1)) | (~v88(constB55, bitIndex2)) | v88(constB55, bitIndex0)))))),
% 8.61/6.53 inference(transitivity,[status(thm)],[25098, 25096])).
% 8.61/6.53 tff(25100,plain,
% 8.61/6.53 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB55) <=> (~(v88(constB55, bitIndex0) | (~v88(constB55, bitIndex1)) | (~v88(constB55, bitIndex2)))))),
% 8.61/6.53 inference(quant_inst,[status(thm)],[])).
% 8.61/6.53 tff(25101,plain,
% 8.61/6.53 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB55) <=> (~((~v88(constB55, bitIndex1)) | (~v88(constB55, bitIndex2)) | v88(constB55, bitIndex0))))),
% 8.61/6.53 inference(modus_ponens,[status(thm)],[25100, 25099])).
% 8.61/6.53 tff(25102,plain,
% 8.61/6.53 (v144(constB55) <=> (~((~v88(constB55, bitIndex1)) | (~v88(constB55, bitIndex2)) | v88(constB55, bitIndex0)))),
% 8.61/6.53 inference(unit_resolution,[status(thm)],[25101, 10347])).
% 8.61/6.53 tff(25103,plain,
% 8.61/6.53 ((~![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))) | (~(((~v88(constB55, bitIndex1)) <=> v90(constB55, bitIndex1)) | ((~v88(constB55, bitIndex2)) <=> v90(constB55, bitIndex2)) | ((~v88(constB55, bitIndex0)) <=> v90(constB55, bitIndex0))))),
% 8.61/6.53 inference(quant_inst,[status(thm)],[])).
% 8.61/6.53 tff(25104,plain,
% 8.61/6.53 (~(((~v88(constB55, bitIndex1)) <=> v90(constB55, bitIndex1)) | ((~v88(constB55, bitIndex2)) <=> v90(constB55, bitIndex2)) | ((~v88(constB55, bitIndex0)) <=> v90(constB55, bitIndex0)))),
% 8.61/6.53 inference(unit_resolution,[status(thm)],[25103, 428])).
% 8.61/6.53 tff(25105,plain,
% 8.61/6.53 ((((~v88(constB55, bitIndex1)) <=> v90(constB55, bitIndex1)) | ((~v88(constB55, bitIndex2)) <=> v90(constB55, bitIndex2)) | ((~v88(constB55, bitIndex0)) <=> v90(constB55, bitIndex0))) | (~((~v88(constB55, bitIndex2)) <=> v90(constB55, bitIndex2)))),
% 8.61/6.53 inference(tautology,[status(thm)],[])).
% 8.61/6.53 tff(25106,plain,
% 8.61/6.53 (~((~v88(constB55, bitIndex2)) <=> v90(constB55, bitIndex2))),
% 8.61/6.53 inference(unit_resolution,[status(thm)],[25105, 25104])).
% 8.61/6.53 tff(25107,plain,
% 8.61/6.53 (((~v88(constB55, bitIndex2)) <=> v90(constB55, bitIndex2)) | v88(constB55, bitIndex2) | (~v90(constB55, bitIndex2))),
% 8.61/6.53 inference(tautology,[status(thm)],[])).
% 8.61/6.53 tff(25108,plain,
% 8.61/6.53 (v88(constB55, bitIndex2)),
% 8.61/6.53 inference(unit_resolution,[status(thm)],[25107, 7753, 25106])).
% 8.61/6.53 tff(25109,plain,
% 8.61/6.53 ((((~v88(constB55, bitIndex1)) <=> v90(constB55, bitIndex1)) | ((~v88(constB55, bitIndex2)) <=> v90(constB55, bitIndex2)) | ((~v88(constB55, bitIndex0)) <=> v90(constB55, bitIndex0))) | (~((~v88(constB55, bitIndex0)) <=> v90(constB55, bitIndex0)))),
% 8.61/6.53 inference(tautology,[status(thm)],[])).
% 8.61/6.53 tff(25110,plain,
% 8.61/6.53 (~((~v88(constB55, bitIndex0)) <=> v90(constB55, bitIndex0))),
% 8.61/6.54 inference(unit_resolution,[status(thm)],[25109, 25104])).
% 8.61/6.54 tff(25111,plain,
% 8.61/6.54 (((~v88(constB55, bitIndex0)) <=> v90(constB55, bitIndex0)) | (~v88(constB55, bitIndex0)) | v90(constB55, bitIndex0)),
% 8.61/6.54 inference(tautology,[status(thm)],[])).
% 8.61/6.54 tff(25112,plain,
% 8.61/6.54 (~v88(constB55, bitIndex0)),
% 8.61/6.54 inference(unit_resolution,[status(thm)],[25111, 7673, 25110])).
% 8.61/6.54 tff(25113,plain,
% 8.61/6.54 ((((~v88(constB55, bitIndex1)) <=> v90(constB55, bitIndex1)) | ((~v88(constB55, bitIndex2)) <=> v90(constB55, bitIndex2)) | ((~v88(constB55, bitIndex0)) <=> v90(constB55, bitIndex0))) | (~((~v88(constB55, bitIndex1)) <=> v90(constB55, bitIndex1)))),
% 8.61/6.54 inference(tautology,[status(thm)],[])).
% 8.61/6.54 tff(25114,plain,
% 8.61/6.54 (~((~v88(constB55, bitIndex1)) <=> v90(constB55, bitIndex1))),
% 8.61/6.54 inference(unit_resolution,[status(thm)],[25113, 25104])).
% 8.61/6.54 tff(25115,plain,
% 8.61/6.54 (((~v88(constB55, bitIndex1)) <=> v90(constB55, bitIndex1)) | v88(constB55, bitIndex1) | (~v90(constB55, bitIndex1))),
% 8.61/6.54 inference(tautology,[status(thm)],[])).
% 8.61/6.54 tff(25116,plain,
% 8.61/6.54 (v88(constB55, bitIndex1)),
% 8.61/6.54 inference(unit_resolution,[status(thm)],[25115, 7713, 25114])).
% 8.61/6.54 tff(25117,plain,
% 8.61/6.54 ((~((~v88(constB55, bitIndex1)) | (~v88(constB55, bitIndex2)) | v88(constB55, bitIndex0))) | (~v88(constB55, bitIndex1)) | (~v88(constB55, bitIndex2)) | v88(constB55, bitIndex0)),
% 8.61/6.54 inference(tautology,[status(thm)],[])).
% 8.61/6.54 tff(25118,plain,
% 8.61/6.54 (~((~v88(constB55, bitIndex1)) | (~v88(constB55, bitIndex2)) | v88(constB55, bitIndex0))),
% 8.61/6.54 inference(unit_resolution,[status(thm)],[25117, 25116, 25112, 25108])).
% 8.61/6.54 tff(25119,plain,
% 8.61/6.54 ((~(v144(constB55) <=> (~((~v88(constB55, bitIndex1)) | (~v88(constB55, bitIndex2)) | v88(constB55, bitIndex0))))) | v144(constB55) | ((~v88(constB55, bitIndex1)) | (~v88(constB55, bitIndex2)) | v88(constB55, bitIndex0))),
% 8.61/6.54 inference(tautology,[status(thm)],[])).
% 8.61/6.54 tff(25120,plain,
% 8.61/6.54 (v144(constB55)),
% 8.61/6.54 inference(unit_resolution,[status(thm)],[25119, 25118, 25102])).
% 8.61/6.54 tff(25121,plain,
% 8.61/6.54 ((v143(constB55) | v144(constB55)) | (~v144(constB55))),
% 8.61/6.54 inference(tautology,[status(thm)],[])).
% 8.61/6.54 tff(25122,plain,
% 8.61/6.54 (v143(constB55) | v144(constB55)),
% 8.61/6.54 inference(unit_resolution,[status(thm)],[25121, 25120])).
% 8.61/6.54 tff(25123,plain,
% 8.61/6.54 ((~(v142(constB55) <=> (v143(constB55) | v144(constB55)))) | v142(constB55) | (~(v143(constB55) | v144(constB55)))),
% 8.61/6.54 inference(tautology,[status(thm)],[])).
% 8.61/6.54 tff(25124,plain,
% 8.61/6.54 (v142(constB55)),
% 8.61/6.54 inference(unit_resolution,[status(thm)],[25123, 25122, 25095])).
% 8.61/6.54 tff(25125,plain,
% 8.61/6.54 ((v137(constB55) | v142(constB55)) | (~v142(constB55))),
% 8.61/6.54 inference(tautology,[status(thm)],[])).
% 8.61/6.54 tff(25126,plain,
% 8.61/6.54 (v137(constB55) | v142(constB55)),
% 8.61/6.54 inference(unit_resolution,[status(thm)],[25125, 25124])).
% 8.61/6.54 tff(25127,plain,
% 8.61/6.54 ((~(v136(constB55) <=> (v137(constB55) | v142(constB55)))) | v136(constB55) | (~(v137(constB55) | v142(constB55)))),
% 8.61/6.54 inference(tautology,[status(thm)],[])).
% 8.61/6.54 tff(25128,plain,
% 8.61/6.54 ((~(v136(constB55) <=> (v137(constB55) | v142(constB55)))) | v136(constB55)),
% 8.61/6.54 inference(unit_resolution,[status(thm)],[25127, 25126])).
% 8.61/6.54 tff(25129,plain,
% 8.61/6.54 (v136(constB55)),
% 8.61/6.54 inference(unit_resolution,[status(thm)],[25128, 25093])).
% 8.61/6.54 tff(25130,plain,
% 8.61/6.54 ((v136(constB55) | v145(constB55)) | (~v136(constB55))),
% 8.61/6.54 inference(tautology,[status(thm)],[])).
% 8.61/6.54 tff(25131,plain,
% 8.61/6.54 (v136(constB55) | v145(constB55)),
% 8.61/6.54 inference(unit_resolution,[status(thm)],[25130, 25129])).
% 8.61/6.54 tff(25132,plain,
% 8.61/6.54 ((~(v135(constB55) <=> (v136(constB55) | v145(constB55)))) | v135(constB55) | (~(v136(constB55) | v145(constB55)))),
% 8.61/6.54 inference(tautology,[status(thm)],[])).
% 8.61/6.54 tff(25133,plain,
% 8.61/6.54 (v135(constB55)),
% 8.61/6.54 inference(unit_resolution,[status(thm)],[25132, 25131, 25091])).
% 8.61/6.54 tff(25134,plain,
% 8.61/6.54 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB55)) | (v86(constB55) <=> v148(constB55)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB55)) | (v86(constB55) <=> v148(constB55)))),
% 8.61/6.54 inference(rewrite,[status(thm)],[])).
% 8.61/6.54 tff(25135,plain,
% 8.61/6.54 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB55)) | (v86(constB55) <=> v148(constB55)))),
% 8.61/6.54 inference(quant_inst,[status(thm)],[])).
% 8.61/6.54 tff(25136,plain,
% 8.61/6.54 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB55)) | (v86(constB55) <=> v148(constB55))),
% 8.61/6.54 inference(modus_ponens,[status(thm)],[25135, 25134])).
% 8.61/6.54 tff(25137,plain,
% 8.61/6.54 (v86(constB55) <=> v148(constB55)),
% 8.61/6.54 inference(unit_resolution,[status(thm)],[25136, 14818, 25133])).
% 8.61/6.54 tff(25138,plain,
% 8.61/6.54 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB55) | (~v142(constB55)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB55) | (~v142(constB55)))),
% 8.61/6.54 inference(rewrite,[status(thm)],[])).
% 8.61/6.54 tff(25139,plain,
% 8.61/6.54 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB55) | (~v142(constB55)))),
% 8.61/6.54 inference(quant_inst,[status(thm)],[])).
% 8.61/6.54 tff(25140,plain,
% 8.61/6.54 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB55) | (~v142(constB55))),
% 8.61/6.54 inference(modus_ponens,[status(thm)],[25139, 25138])).
% 8.61/6.54 tff(25141,plain,
% 8.61/6.54 (v148(constB55)),
% 8.61/6.54 inference(unit_resolution,[status(thm)],[25140, 14832, 25124])).
% 8.61/6.54 tff(25142,plain,
% 8.61/6.54 ((~(v86(constB55) <=> v148(constB55))) | v86(constB55) | (~v148(constB55))),
% 8.61/6.54 inference(tautology,[status(thm)],[])).
% 8.61/6.54 tff(25143,plain,
% 8.61/6.54 ((~(v86(constB55) <=> v148(constB55))) | v86(constB55)),
% 8.61/6.54 inference(unit_resolution,[status(thm)],[25142, 25141])).
% 8.61/6.54 tff(25144,plain,
% 8.61/6.54 (v86(constB55)),
% 8.61/6.54 inference(unit_resolution,[status(thm)],[25143, 25137])).
% 8.61/6.54 tff(25145,plain,
% 8.61/6.54 ($false),
% 8.61/6.54 inference(unit_resolution,[status(thm)],[25144, 25089])).
% 8.61/6.54 tff(25146,plain,(~(constB55 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.61/6.54 tff(25147,assumption,(constB191 = VarCurr!0), introduced(assumption)).
% 8.61/6.54 tff(25148,plain,
% 8.61/6.54 (v193(constB191) <=> v193(VarCurr!0)),
% 8.61/6.54 inference(monotonicity,[status(thm)],[25147])).
% 8.61/6.54 tff(25149,plain,
% 8.61/6.54 (v193(VarCurr!0) <=> v193(constB191)),
% 8.61/6.54 inference(symmetry,[status(thm)],[25148])).
% 8.61/6.54 tff(25150,plain,
% 8.61/6.54 (v193(constB191)),
% 8.61/6.54 inference(modus_ponens,[status(thm)],[59, 25149])).
% 8.61/6.54 tff(25151,plain,
% 8.61/6.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB190, constB191)) | (v193(constB191) <=> v191(constB190)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB190, constB191)) | (v193(constB191) <=> v191(constB190)))),
% 8.61/6.54 inference(rewrite,[status(thm)],[])).
% 8.61/6.54 tff(25152,plain,
% 8.61/6.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB190, constB191)) | (v193(constB191) <=> v191(constB190)))),
% 8.61/6.54 inference(quant_inst,[status(thm)],[])).
% 8.61/6.54 tff(25153,plain,
% 8.61/6.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB190, constB191)) | (v193(constB191) <=> v191(constB190))),
% 8.61/6.54 inference(modus_ponens,[status(thm)],[25152, 25151])).
% 8.61/6.54 tff(25154,plain,
% 8.61/6.54 (v193(constB191) <=> v191(constB190)),
% 8.61/6.54 inference(unit_resolution,[status(thm)],[25153, 15133, 70])).
% 8.61/6.54 tff(25155,plain,
% 8.61/6.54 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB190) <=> (v194(constB190) | v198(constB190)))),
% 8.61/6.54 inference(quant_inst,[status(thm)],[])).
% 8.61/6.54 tff(25156,plain,
% 8.61/6.54 (v191(constB190) <=> (v194(constB190) | v198(constB190))),
% 8.61/6.54 inference(unit_resolution,[status(thm)],[25155, 84])).
% 8.61/6.54 tff(25157,plain,
% 8.61/6.54 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB190) <=> (~((~v199(constB190)) | (~v200(constB190)))))),
% 8.61/6.54 inference(quant_inst,[status(thm)],[])).
% 8.61/6.54 tff(25158,plain,
% 8.61/6.54 (v198(constB190) <=> (~((~v199(constB190)) | (~v200(constB190))))),
% 8.61/6.54 inference(unit_resolution,[status(thm)],[25157, 96])).
% 8.61/6.54 tff(25159,plain,
% 8.61/6.54 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB190) <=> (~((~v197(constB190)) | (~v201(constB190)))))),
% 8.61/6.54 inference(quant_inst,[status(thm)],[])).
% 8.61/6.54 tff(25160,plain,
% 8.61/6.54 (v200(constB190) <=> (~((~v197(constB190)) | (~v201(constB190))))),
% 8.61/6.54 inference(unit_resolution,[status(thm)],[25159, 108])).
% 8.61/6.54 tff(25161,plain,
% 8.61/6.54 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB190) <=> (~((~v39(constB190)) | (~v9(constB190)))))),
% 8.61/6.54 inference(quant_inst,[status(thm)],[])).
% 8.61/6.54 tff(25162,plain,
% 8.61/6.54 (v197(constB190) <=> (~((~v39(constB190)) | (~v9(constB190))))),
% 8.61/6.54 inference(unit_resolution,[status(thm)],[25161, 120])).
% 8.61/6.54 tff(25163,plain,
% 8.61/6.54 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB190)) <=> v1(constB190))),
% 8.61/6.54 inference(quant_inst,[status(thm)],[])).
% 8.61/6.54 tff(25164,plain,
% 8.61/6.54 ((~v39(constB190)) <=> v1(constB190)),
% 8.61/6.54 inference(unit_resolution,[status(thm)],[25163, 129])).
% 8.61/6.54 tff(25165,plain,
% 8.61/6.54 ((~((~v39(constB190)) <=> v1(constB190))) | (~v39(constB190)) | (~v1(constB190))),
% 8.61/6.54 inference(tautology,[status(thm)],[])).
% 8.61/6.54 tff(25166,plain,
% 8.61/6.54 ((~((~v39(constB190)) <=> v1(constB190))) | (~v39(constB190))),
% 8.61/6.54 inference(unit_resolution,[status(thm)],[25165, 23540])).
% 8.61/6.54 tff(25167,plain,
% 8.61/6.54 (~v39(constB190)),
% 8.61/6.54 inference(unit_resolution,[status(thm)],[25166, 25164])).
% 8.61/6.54 tff(25168,plain,
% 8.61/6.54 (((~v39(constB190)) | (~v9(constB190))) | v39(constB190)),
% 8.61/6.54 inference(tautology,[status(thm)],[])).
% 8.61/6.54 tff(25169,plain,
% 8.61/6.54 ((~v39(constB190)) | (~v9(constB190))),
% 8.61/6.54 inference(unit_resolution,[status(thm)],[25168, 25167])).
% 8.61/6.54 tff(25170,plain,
% 8.61/6.54 ((~(v197(constB190) <=> (~((~v39(constB190)) | (~v9(constB190)))))) | (~v197(constB190)) | (~((~v39(constB190)) | (~v9(constB190))))),
% 8.61/6.54 inference(tautology,[status(thm)],[])).
% 8.61/6.54 tff(25171,plain,
% 8.61/6.54 ((~(v197(constB190) <=> (~((~v39(constB190)) | (~v9(constB190)))))) | (~v197(constB190))),
% 8.61/6.54 inference(unit_resolution,[status(thm)],[25170, 25169])).
% 8.61/6.54 tff(25172,plain,
% 8.61/6.54 (~v197(constB190)),
% 8.61/6.54 inference(unit_resolution,[status(thm)],[25171, 25162])).
% 8.61/6.54 tff(25173,plain,
% 8.61/6.54 (((~v197(constB190)) | (~v201(constB190))) | v197(constB190)),
% 8.61/6.54 inference(tautology,[status(thm)],[])).
% 8.61/6.54 tff(25174,plain,
% 8.61/6.54 ((~v197(constB190)) | (~v201(constB190))),
% 8.61/6.54 inference(unit_resolution,[status(thm)],[25173, 25172])).
% 8.61/6.54 tff(25175,plain,
% 8.61/6.54 ((~(v200(constB190) <=> (~((~v197(constB190)) | (~v201(constB190)))))) | (~v200(constB190)) | (~((~v197(constB190)) | (~v201(constB190))))),
% 8.61/6.54 inference(tautology,[status(thm)],[])).
% 8.61/6.54 tff(25176,plain,
% 8.61/6.54 ((~(v200(constB190) <=> (~((~v197(constB190)) | (~v201(constB190)))))) | (~v200(constB190))),
% 8.61/6.54 inference(unit_resolution,[status(thm)],[25175, 25174])).
% 8.61/6.54 tff(25177,plain,
% 8.61/6.54 (~v200(constB190)),
% 8.61/6.54 inference(unit_resolution,[status(thm)],[25176, 25160])).
% 8.61/6.54 tff(25178,plain,
% 8.61/6.54 (((~v199(constB190)) | (~v200(constB190))) | v200(constB190)),
% 8.61/6.54 inference(tautology,[status(thm)],[])).
% 8.61/6.54 tff(25179,plain,
% 8.61/6.54 ((~v199(constB190)) | (~v200(constB190))),
% 8.61/6.54 inference(unit_resolution,[status(thm)],[25178, 25177])).
% 8.61/6.54 tff(25180,plain,
% 8.61/6.54 ((~(v198(constB190) <=> (~((~v199(constB190)) | (~v200(constB190)))))) | (~v198(constB190)) | (~((~v199(constB190)) | (~v200(constB190))))),
% 8.61/6.54 inference(tautology,[status(thm)],[])).
% 8.61/6.54 tff(25181,plain,
% 8.61/6.54 (~v198(constB190)),
% 8.61/6.54 inference(unit_resolution,[status(thm)],[25180, 25179, 25158])).
% 8.61/6.54 tff(25182,plain,
% 8.61/6.54 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB190) <=> (~((~v157(constB190)) | (~v195(constB190)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB190) <=> (~((~v157(constB190)) | (~v195(constB190))))))),
% 8.61/6.54 inference(rewrite,[status(thm)],[])).
% 8.61/6.54 tff(25183,plain,
% 8.61/6.54 ((v194(constB190) <=> (~((~v195(constB190)) | (~v157(constB190))))) <=> (v194(constB190) <=> (~((~v157(constB190)) | (~v195(constB190)))))),
% 8.61/6.54 inference(rewrite,[status(thm)],[])).
% 8.61/6.54 tff(25184,plain,
% 8.61/6.54 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB190) <=> (~((~v195(constB190)) | (~v157(constB190)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB190) <=> (~((~v157(constB190)) | (~v195(constB190))))))),
% 8.61/6.54 inference(monotonicity,[status(thm)],[25183])).
% 8.61/6.54 tff(25185,plain,
% 8.61/6.54 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB190) <=> (~((~v195(constB190)) | (~v157(constB190)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB190) <=> (~((~v157(constB190)) | (~v195(constB190))))))),
% 8.61/6.54 inference(transitivity,[status(thm)],[25184, 25182])).
% 8.61/6.54 tff(25186,plain,
% 8.61/6.54 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB190) <=> (~((~v195(constB190)) | (~v157(constB190)))))),
% 8.61/6.54 inference(quant_inst,[status(thm)],[])).
% 8.61/6.54 tff(25187,plain,
% 8.61/6.54 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB190) <=> (~((~v157(constB190)) | (~v195(constB190)))))),
% 8.61/6.54 inference(modus_ponens,[status(thm)],[25186, 25185])).
% 8.61/6.54 tff(25188,plain,
% 8.61/6.54 (v194(constB190) <=> (~((~v157(constB190)) | (~v195(constB190))))),
% 8.61/6.54 inference(unit_resolution,[status(thm)],[25187, 161])).
% 8.61/6.54 tff(25189,plain,
% 8.61/6.54 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB190) <=> v193(constB190))),
% 8.61/6.54 inference(quant_inst,[status(thm)],[])).
% 8.61/6.54 tff(25190,plain,
% 8.61/6.54 (v157(constB190) <=> v193(constB190)),
% 8.61/6.54 inference(unit_resolution,[status(thm)],[25189, 13])).
% 8.61/6.54 tff(25191,plain,
% 8.61/6.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB189, constB190)) | (v193(constB190) <=> v191(constB189)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB189, constB190)) | (v193(constB190) <=> v191(constB189)))),
% 8.61/6.54 inference(rewrite,[status(thm)],[])).
% 8.61/6.54 tff(25192,plain,
% 8.61/6.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB189, constB190)) | (v193(constB190) <=> v191(constB189)))),
% 8.61/6.54 inference(quant_inst,[status(thm)],[])).
% 8.61/6.54 tff(25193,plain,
% 8.61/6.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB189, constB190)) | (v193(constB190) <=> v191(constB189))),
% 8.61/6.54 inference(modus_ponens,[status(thm)],[25192, 25191])).
% 8.61/6.54 tff(25194,plain,
% 8.61/6.54 (v193(constB190) <=> v191(constB189)),
% 8.61/6.54 inference(unit_resolution,[status(thm)],[25193, 15169, 70])).
% 8.61/6.54 tff(25195,plain,
% 8.61/6.54 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB189) <=> (v194(constB189) | v198(constB189)))),
% 8.61/6.54 inference(quant_inst,[status(thm)],[])).
% 8.61/6.54 tff(25196,plain,
% 8.61/6.54 (v191(constB189) <=> (v194(constB189) | v198(constB189))),
% 8.61/6.54 inference(unit_resolution,[status(thm)],[25195, 84])).
% 8.61/6.54 tff(25197,plain,
% 8.61/6.54 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB189) <=> (~((~v157(constB189)) | (~v195(constB189)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB189) <=> (~((~v157(constB189)) | (~v195(constB189))))))),
% 8.61/6.54 inference(rewrite,[status(thm)],[])).
% 8.61/6.54 tff(25198,plain,
% 8.61/6.54 ((v194(constB189) <=> (~((~v195(constB189)) | (~v157(constB189))))) <=> (v194(constB189) <=> (~((~v157(constB189)) | (~v195(constB189)))))),
% 8.61/6.54 inference(rewrite,[status(thm)],[])).
% 8.61/6.54 tff(25199,plain,
% 8.61/6.54 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB189) <=> (~((~v195(constB189)) | (~v157(constB189)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB189) <=> (~((~v157(constB189)) | (~v195(constB189))))))),
% 8.61/6.54 inference(monotonicity,[status(thm)],[25198])).
% 8.61/6.54 tff(25200,plain,
% 8.61/6.54 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB189) <=> (~((~v195(constB189)) | (~v157(constB189)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB189) <=> (~((~v157(constB189)) | (~v195(constB189))))))),
% 8.61/6.54 inference(transitivity,[status(thm)],[25199, 25197])).
% 8.61/6.54 tff(25201,plain,
% 8.61/6.54 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB189) <=> (~((~v195(constB189)) | (~v157(constB189)))))),
% 8.61/6.54 inference(quant_inst,[status(thm)],[])).
% 8.61/6.54 tff(25202,plain,
% 8.61/6.54 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB189) <=> (~((~v157(constB189)) | (~v195(constB189)))))),
% 8.61/6.54 inference(modus_ponens,[status(thm)],[25201, 25200])).
% 8.61/6.54 tff(25203,plain,
% 8.61/6.54 (v194(constB189) <=> (~((~v157(constB189)) | (~v195(constB189))))),
% 8.61/6.54 inference(unit_resolution,[status(thm)],[25202, 161])).
% 8.61/6.54 tff(25204,plain,
% 8.61/6.54 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB189)) <=> v196(constB189))),
% 8.61/6.54 inference(quant_inst,[status(thm)],[])).
% 8.61/6.54 tff(25205,plain,
% 8.61/6.54 ((~v195(constB189)) <=> v196(constB189)),
% 8.61/6.54 inference(unit_resolution,[status(thm)],[25204, 193])).
% 8.61/6.54 tff(25206,plain,
% 8.61/6.54 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB189) <=> (v197(constB189) | v26(constB189)))),
% 8.61/6.54 inference(quant_inst,[status(thm)],[])).
% 8.61/6.54 tff(25207,plain,
% 8.61/6.54 (v196(constB189) <=> (v197(constB189) | v26(constB189))),
% 8.61/6.54 inference(unit_resolution,[status(thm)],[25206, 202])).
% 8.61/6.54 tff(25208,plain,
% 8.61/6.54 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB189) <=> (~((~v39(constB189)) | (~v9(constB189)))))),
% 8.61/6.54 inference(quant_inst,[status(thm)],[])).
% 8.61/6.54 tff(25209,plain,
% 8.61/6.54 (v197(constB189) <=> (~((~v39(constB189)) | (~v9(constB189))))),
% 8.61/6.54 inference(unit_resolution,[status(thm)],[25208, 120])).
% 8.61/6.54 tff(25210,plain,
% 8.61/6.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB189, constB190)) | (v13(constB190) <=> v9(constB189)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB189, constB190)) | (v13(constB190) <=> v9(constB189)))),
% 8.61/6.54 inference(rewrite,[status(thm)],[])).
% 8.61/6.54 tff(25211,plain,
% 8.61/6.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB189, constB190)) | (v13(constB190) <=> v9(constB189)))),
% 8.61/6.54 inference(quant_inst,[status(thm)],[])).
% 8.61/6.54 tff(25212,plain,
% 8.61/6.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB189, constB190)) | (v13(constB190) <=> v9(constB189))),
% 8.61/6.54 inference(modus_ponens,[status(thm)],[25211, 25210])).
% 8.61/6.54 tff(25213,plain,
% 8.61/6.54 (v13(constB190) <=> v9(constB189)),
% 8.61/6.54 inference(unit_resolution,[status(thm)],[25212, 15169, 216])).
% 8.61/6.54 tff(25214,plain,
% 8.61/6.54 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB190) <=> v13(constB190))),
% 8.61/6.54 inference(quant_inst,[status(thm)],[])).
% 8.61/6.54 tff(25215,plain,
% 8.61/6.54 (v6(constB190) <=> v13(constB190)),
% 8.61/6.54 inference(unit_resolution,[status(thm)],[25214, 230])).
% 8.61/6.54 tff(25216,plain,
% 8.61/6.54 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB190)) <=> v6(constB190))),
% 8.61/6.54 inference(quant_inst,[status(thm)],[])).
% 8.61/6.54 tff(25217,plain,
% 8.61/6.54 ((~v21(constB190)) <=> v6(constB190)),
% 8.61/6.54 inference(unit_resolution,[status(thm)],[25216, 239])).
% 8.61/6.54 tff(25218,plain,
% 8.61/6.54 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB190) <=> (v20(constB190) | v21(constB190)))),
% 8.61/6.54 inference(quant_inst,[status(thm)],[])).
% 8.61/6.54 tff(25219,plain,
% 8.61/6.54 (v19(constB190) <=> (v20(constB190) | v21(constB190))),
% 8.61/6.54 inference(unit_resolution,[status(thm)],[25218, 248])).
% 8.61/6.54 tff(25220,plain,
% 8.61/6.54 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB190) <=> (~((~v19(constB190)) | (~v22(constB190)))))),
% 8.61/6.54 inference(quant_inst,[status(thm)],[])).
% 8.61/6.54 tff(25221,plain,
% 8.61/6.54 (v18(constB190) <=> (~((~v19(constB190)) | (~v22(constB190))))),
% 8.61/6.54 inference(unit_resolution,[status(thm)],[25220, 260])).
% 8.61/6.54 tff(25222,plain,
% 8.61/6.54 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB190)) <=> v18(constB190))),
% 8.61/6.54 inference(quant_inst,[status(thm)],[])).
% 8.61/6.54 tff(25223,plain,
% 8.61/6.54 ((~v4(constB190)) <=> v18(constB190)),
% 8.61/6.54 inference(unit_resolution,[status(thm)],[25222, 269])).
% 8.61/6.54 tff(25224,plain,
% 8.61/6.54 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB190)),
% 8.61/6.54 inference(quant_inst,[status(thm)],[])).
% 8.61/6.54 tff(25225,plain,
% 8.61/6.54 (v4(constB190)),
% 8.61/6.54 inference(unit_resolution,[status(thm)],[25224, 278])).
% 8.61/6.54 tff(25226,plain,
% 8.61/6.54 ((~((~v4(constB190)) <=> v18(constB190))) | (~v4(constB190)) | (~v18(constB190))),
% 8.61/6.54 inference(tautology,[status(thm)],[])).
% 8.61/6.54 tff(25227,plain,
% 8.61/6.54 (~v18(constB190)),
% 8.61/6.54 inference(unit_resolution,[status(thm)],[25226, 25225, 25223])).
% 8.61/6.54 tff(25228,plain,
% 8.61/6.54 ((~(v18(constB190) <=> (~((~v19(constB190)) | (~v22(constB190)))))) | v18(constB190) | ((~v19(constB190)) | (~v22(constB190)))),
% 8.61/6.54 inference(tautology,[status(thm)],[])).
% 8.61/6.54 tff(25229,plain,
% 8.61/6.54 ((~v19(constB190)) | (~v22(constB190))),
% 8.61/6.54 inference(unit_resolution,[status(thm)],[25228, 25227, 25221])).
% 8.61/6.54 tff(25230,plain,
% 8.61/6.54 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB190) <=> (v1(constB190) | v6(constB190)))),
% 8.61/6.54 inference(quant_inst,[status(thm)],[])).
% 8.61/6.54 tff(25231,plain,
% 8.61/6.54 (v22(constB190) <=> (v1(constB190) | v6(constB190))),
% 8.61/6.54 inference(unit_resolution,[status(thm)],[25230, 291])).
% 8.61/6.54 tff(25232,plain,
% 8.61/6.54 ((v1(constB190) | v6(constB190)) | (~v1(constB190))),
% 8.61/6.54 inference(tautology,[status(thm)],[])).
% 8.61/6.54 tff(25233,plain,
% 8.61/6.54 (v1(constB190) | v6(constB190)),
% 8.61/6.54 inference(unit_resolution,[status(thm)],[25232, 23540])).
% 8.61/6.54 tff(25234,plain,
% 8.61/6.54 ((~(v22(constB190) <=> (v1(constB190) | v6(constB190)))) | v22(constB190) | (~(v1(constB190) | v6(constB190)))),
% 8.61/6.54 inference(tautology,[status(thm)],[])).
% 8.61/6.54 tff(25235,plain,
% 8.61/6.54 ((~(v22(constB190) <=> (v1(constB190) | v6(constB190)))) | v22(constB190)),
% 8.61/6.54 inference(unit_resolution,[status(thm)],[25234, 25233])).
% 8.61/6.54 tff(25236,plain,
% 8.61/6.54 (v22(constB190)),
% 8.61/6.54 inference(unit_resolution,[status(thm)],[25235, 25231])).
% 8.61/6.54 tff(25237,plain,
% 8.61/6.54 ((~((~v19(constB190)) | (~v22(constB190)))) | (~v19(constB190)) | (~v22(constB190))),
% 8.61/6.54 inference(tautology,[status(thm)],[])).
% 8.61/6.54 tff(25238,plain,
% 8.61/6.54 ((~((~v19(constB190)) | (~v22(constB190)))) | (~v19(constB190))),
% 8.61/6.54 inference(unit_resolution,[status(thm)],[25237, 25236])).
% 8.61/6.54 tff(25239,plain,
% 8.61/6.54 (~v19(constB190)),
% 8.61/6.54 inference(unit_resolution,[status(thm)],[25238, 25229])).
% 8.61/6.54 tff(25240,plain,
% 8.61/6.54 ((~(v19(constB190) <=> (v20(constB190) | v21(constB190)))) | v19(constB190) | (~(v20(constB190) | v21(constB190)))),
% 8.61/6.54 inference(tautology,[status(thm)],[])).
% 8.61/6.54 tff(25241,plain,
% 8.61/6.54 (~(v20(constB190) | v21(constB190))),
% 8.61/6.54 inference(unit_resolution,[status(thm)],[25240, 25239, 25219])).
% 8.61/6.54 tff(25242,plain,
% 8.61/6.54 ((v20(constB190) | v21(constB190)) | (~v21(constB190))),
% 8.61/6.54 inference(tautology,[status(thm)],[])).
% 8.61/6.54 tff(25243,plain,
% 8.61/6.54 (~v21(constB190)),
% 8.61/6.54 inference(unit_resolution,[status(thm)],[25242, 25241])).
% 8.61/6.54 tff(25244,plain,
% 8.61/6.54 ((~((~v21(constB190)) <=> v6(constB190))) | v21(constB190) | v6(constB190)),
% 8.61/6.54 inference(tautology,[status(thm)],[])).
% 8.61/6.54 tff(25245,plain,
% 8.61/6.54 (v6(constB190)),
% 8.61/6.54 inference(unit_resolution,[status(thm)],[25244, 25243, 25217])).
% 8.61/6.54 tff(25246,plain,
% 8.61/6.54 ((~(v6(constB190) <=> v13(constB190))) | (~v6(constB190)) | v13(constB190)),
% 8.61/6.54 inference(tautology,[status(thm)],[])).
% 8.61/6.54 tff(25247,plain,
% 8.61/6.54 (v13(constB190)),
% 8.61/6.54 inference(unit_resolution,[status(thm)],[25246, 25245, 25215])).
% 8.61/6.54 tff(25248,plain,
% 8.61/6.54 ((~(v13(constB190) <=> v9(constB189))) | (~v13(constB190)) | v9(constB189)),
% 8.61/6.54 inference(tautology,[status(thm)],[])).
% 8.61/6.54 tff(25249,plain,
% 8.61/6.54 (v9(constB189)),
% 8.61/6.54 inference(unit_resolution,[status(thm)],[25248, 25247, 25213])).
% 8.61/6.54 tff(25250,plain,
% 8.61/6.54 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB189)) <=> v1(constB189))),
% 8.61/6.54 inference(quant_inst,[status(thm)],[])).
% 8.61/6.54 tff(25251,plain,
% 8.61/6.54 ((~v39(constB189)) <=> v1(constB189)),
% 8.61/6.54 inference(unit_resolution,[status(thm)],[25250, 129])).
% 8.61/6.54 tff(25252,plain,
% 8.61/6.54 ((~((~v39(constB189)) <=> v1(constB189))) | v39(constB189) | v1(constB189)),
% 8.61/6.54 inference(tautology,[status(thm)],[])).
% 8.61/6.54 tff(25253,plain,
% 8.61/6.54 ((~((~v39(constB189)) <=> v1(constB189))) | v39(constB189)),
% 8.61/6.54 inference(unit_resolution,[status(thm)],[25252, 15213])).
% 8.61/6.54 tff(25254,plain,
% 8.61/6.54 (v39(constB189)),
% 8.61/6.54 inference(unit_resolution,[status(thm)],[25253, 25251])).
% 8.61/6.54 tff(25255,plain,
% 8.61/6.54 ((~((~v39(constB189)) | (~v9(constB189)))) | (~v39(constB189)) | (~v9(constB189))),
% 8.61/6.54 inference(tautology,[status(thm)],[])).
% 8.61/6.54 tff(25256,plain,
% 8.61/6.54 ((~((~v39(constB189)) | (~v9(constB189)))) | (~v9(constB189))),
% 8.61/6.54 inference(unit_resolution,[status(thm)],[25255, 25254])).
% 8.61/6.54 tff(25257,plain,
% 8.61/6.54 (~((~v39(constB189)) | (~v9(constB189)))),
% 8.61/6.54 inference(unit_resolution,[status(thm)],[25256, 25249])).
% 8.61/6.54 tff(25258,plain,
% 8.61/6.54 ((~(v197(constB189) <=> (~((~v39(constB189)) | (~v9(constB189)))))) | v197(constB189) | ((~v39(constB189)) | (~v9(constB189)))),
% 8.61/6.54 inference(tautology,[status(thm)],[])).
% 8.61/6.54 tff(25259,plain,
% 8.61/6.54 (v197(constB189)),
% 8.61/6.54 inference(unit_resolution,[status(thm)],[25258, 25257, 25209])).
% 8.61/6.54 tff(25260,plain,
% 8.61/6.54 ((v197(constB189) | v26(constB189)) | (~v197(constB189))),
% 8.61/6.54 inference(tautology,[status(thm)],[])).
% 8.61/6.54 tff(25261,plain,
% 8.61/6.54 (v197(constB189) | v26(constB189)),
% 8.61/6.54 inference(unit_resolution,[status(thm)],[25260, 25259])).
% 8.61/6.54 tff(25262,plain,
% 8.61/6.54 ((~(v196(constB189) <=> (v197(constB189) | v26(constB189)))) | v196(constB189) | (~(v197(constB189) | v26(constB189)))),
% 8.61/6.54 inference(tautology,[status(thm)],[])).
% 8.61/6.54 tff(25263,plain,
% 8.61/6.54 (v196(constB189)),
% 8.61/6.54 inference(unit_resolution,[status(thm)],[25262, 25261, 25207])).
% 8.61/6.54 tff(25264,plain,
% 8.61/6.54 ((~((~v195(constB189)) <=> v196(constB189))) | (~v195(constB189)) | (~v196(constB189))),
% 8.61/6.54 inference(tautology,[status(thm)],[])).
% 8.61/6.54 tff(25265,plain,
% 8.61/6.54 (~v195(constB189)),
% 8.61/6.54 inference(unit_resolution,[status(thm)],[25264, 25263, 25205])).
% 8.61/6.54 tff(25266,plain,
% 8.61/6.54 (((~v157(constB189)) | (~v195(constB189))) | v195(constB189)),
% 8.61/6.54 inference(tautology,[status(thm)],[])).
% 8.61/6.54 tff(25267,plain,
% 8.61/6.54 ((~v157(constB189)) | (~v195(constB189))),
% 8.61/6.54 inference(unit_resolution,[status(thm)],[25266, 25265])).
% 8.61/6.54 tff(25268,plain,
% 8.61/6.54 ((~(v194(constB189) <=> (~((~v157(constB189)) | (~v195(constB189)))))) | (~v194(constB189)) | (~((~v157(constB189)) | (~v195(constB189))))),
% 8.61/6.54 inference(tautology,[status(thm)],[])).
% 8.61/6.54 tff(25269,plain,
% 8.61/6.54 (~v194(constB189)),
% 8.61/6.54 inference(unit_resolution,[status(thm)],[25268, 25267, 25203])).
% 8.61/6.54 tff(25270,plain,
% 8.61/6.54 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB189) <=> (~((~v199(constB189)) | (~v200(constB189)))))),
% 8.61/6.54 inference(quant_inst,[status(thm)],[])).
% 8.61/6.54 tff(25271,plain,
% 8.61/6.54 (v198(constB189) <=> (~((~v199(constB189)) | (~v200(constB189))))),
% 8.61/6.54 inference(unit_resolution,[status(thm)],[25270, 96])).
% 8.61/6.54 tff(25272,plain,
% 8.61/6.54 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB189) <=> (~((~v197(constB189)) | (~v201(constB189)))))),
% 8.61/6.54 inference(quant_inst,[status(thm)],[])).
% 8.61/6.54 tff(25273,plain,
% 8.61/6.54 (v200(constB189) <=> (~((~v197(constB189)) | (~v201(constB189))))),
% 8.61/6.54 inference(unit_resolution,[status(thm)],[25272, 108])).
% 8.61/6.54 tff(25274,plain,
% 8.61/6.54 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB189) <=> (~((~v159(constB189)) | (~v161(constB189)))))),
% 8.61/6.54 inference(quant_inst,[status(thm)],[])).
% 8.61/6.54 tff(25275,plain,
% 8.61/6.54 (v201(constB189) <=> (~((~v159(constB189)) | (~v161(constB189))))),
% 8.61/6.54 inference(unit_resolution,[status(thm)],[25274, 348])).
% 8.61/6.54 tff(25276,plain,
% 8.61/6.54 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB189) <=> v163(constB189))),
% 8.61/6.54 inference(quant_inst,[status(thm)],[])).
% 8.61/6.54 tff(25277,plain,
% 8.61/6.54 (v161(constB189) <=> v163(constB189)),
% 8.61/6.54 inference(unit_resolution,[status(thm)],[25276, 357])).
% 8.61/6.54 tff(25278,plain,
% 8.61/6.54 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB189) <=> (v145(constB189) | v167(constB189)))),
% 8.61/6.54 inference(quant_inst,[status(thm)],[])).
% 8.61/6.54 tff(25279,plain,
% 8.61/6.54 (v166(constB189) <=> (v145(constB189) | v167(constB189))),
% 8.61/6.54 inference(unit_resolution,[status(thm)],[25278, 369])).
% 8.61/6.54 tff(25280,plain,
% 8.61/6.54 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB189) <=> (v142(constB189) | v168(constB189)))),
% 8.61/6.54 inference(quant_inst,[status(thm)],[])).
% 8.61/6.54 tff(25281,plain,
% 8.61/6.54 (v167(constB189) <=> (v142(constB189) | v168(constB189))),
% 8.61/6.54 inference(unit_resolution,[status(thm)],[25280, 381])).
% 8.61/6.54 tff(25282,plain,
% 8.61/6.54 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB189) <=> (v143(constB189) | v144(constB189)))),
% 8.61/6.54 inference(quant_inst,[status(thm)],[])).
% 8.61/6.54 tff(25283,plain,
% 8.61/6.54 (v142(constB189) <=> (v143(constB189) | v144(constB189))),
% 8.61/6.54 inference(unit_resolution,[status(thm)],[25282, 10332])).
% 8.61/6.54 tff(25284,plain,
% 8.61/6.54 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB189) <=> (~((~v88(constB189, bitIndex1)) | v88(constB189, bitIndex2) | v88(constB189, bitIndex0))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB189) <=> (~((~v88(constB189, bitIndex1)) | v88(constB189, bitIndex2) | v88(constB189, bitIndex0)))))),
% 8.61/6.54 inference(rewrite,[status(thm)],[])).
% 8.61/6.54 tff(25285,plain,
% 8.61/6.54 ((v143(constB189) <=> (~(v88(constB189, bitIndex0) | v88(constB189, bitIndex2) | (~v88(constB189, bitIndex1))))) <=> (v143(constB189) <=> (~((~v88(constB189, bitIndex1)) | v88(constB189, bitIndex2) | v88(constB189, bitIndex0))))),
% 8.61/6.54 inference(rewrite,[status(thm)],[])).
% 8.61/6.54 tff(25286,plain,
% 8.61/6.54 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB189) <=> (~(v88(constB189, bitIndex0) | v88(constB189, bitIndex2) | (~v88(constB189, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB189) <=> (~((~v88(constB189, bitIndex1)) | v88(constB189, bitIndex2) | v88(constB189, bitIndex0)))))),
% 8.61/6.54 inference(monotonicity,[status(thm)],[25285])).
% 8.61/6.54 tff(25287,plain,
% 8.61/6.54 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB189) <=> (~(v88(constB189, bitIndex0) | v88(constB189, bitIndex2) | (~v88(constB189, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB189) <=> (~((~v88(constB189, bitIndex1)) | v88(constB189, bitIndex2) | v88(constB189, bitIndex0)))))),
% 8.61/6.54 inference(transitivity,[status(thm)],[25286, 25284])).
% 8.61/6.54 tff(25288,plain,
% 8.61/6.54 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB189) <=> (~(v88(constB189, bitIndex0) | v88(constB189, bitIndex2) | (~v88(constB189, bitIndex1)))))),
% 8.61/6.54 inference(quant_inst,[status(thm)],[])).
% 8.61/6.54 tff(25289,plain,
% 8.61/6.54 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB189) <=> (~((~v88(constB189, bitIndex1)) | v88(constB189, bitIndex2) | v88(constB189, bitIndex0))))),
% 8.61/6.54 inference(modus_ponens,[status(thm)],[25288, 25287])).
% 8.61/6.54 tff(25290,plain,
% 8.61/6.54 (v143(constB189) <=> (~((~v88(constB189, bitIndex1)) | v88(constB189, bitIndex2) | v88(constB189, bitIndex0)))),
% 8.61/6.54 inference(unit_resolution,[status(thm)],[25289, 14770])).
% 8.61/6.54 tff(25291,plain,
% 8.61/6.54 ((~![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))) | (~(((~v88(constB189, bitIndex1)) <=> v90(constB189, bitIndex1)) | ((~v88(constB189, bitIndex2)) <=> v90(constB189, bitIndex2)) | ((~v88(constB189, bitIndex0)) <=> v90(constB189, bitIndex0))))),
% 8.61/6.54 inference(quant_inst,[status(thm)],[])).
% 8.61/6.54 tff(25292,plain,
% 8.61/6.54 (~(((~v88(constB189, bitIndex1)) <=> v90(constB189, bitIndex1)) | ((~v88(constB189, bitIndex2)) <=> v90(constB189, bitIndex2)) | ((~v88(constB189, bitIndex0)) <=> v90(constB189, bitIndex0)))),
% 8.61/6.54 inference(unit_resolution,[status(thm)],[25291, 428])).
% 8.61/6.54 tff(25293,plain,
% 8.61/6.54 ((((~v88(constB189, bitIndex1)) <=> v90(constB189, bitIndex1)) | ((~v88(constB189, bitIndex2)) <=> v90(constB189, bitIndex2)) | ((~v88(constB189, bitIndex0)) <=> v90(constB189, bitIndex0))) | (~((~v88(constB189, bitIndex2)) <=> v90(constB189, bitIndex2)))),
% 8.61/6.54 inference(tautology,[status(thm)],[])).
% 8.61/6.54 tff(25294,plain,
% 8.61/6.54 (~((~v88(constB189, bitIndex2)) <=> v90(constB189, bitIndex2))),
% 8.61/6.54 inference(unit_resolution,[status(thm)],[25293, 25292])).
% 8.61/6.54 tff(25295,plain,
% 8.61/6.54 (((~v88(constB189, bitIndex2)) <=> v90(constB189, bitIndex2)) | (~v88(constB189, bitIndex2)) | v90(constB189, bitIndex2)),
% 8.61/6.54 inference(tautology,[status(thm)],[])).
% 8.61/6.54 tff(25296,plain,
% 8.61/6.54 (~v88(constB189, bitIndex2)),
% 8.61/6.54 inference(unit_resolution,[status(thm)],[25295, 23462, 25294])).
% 8.61/6.54 tff(25297,plain,
% 8.61/6.54 ((((~v88(constB189, bitIndex1)) <=> v90(constB189, bitIndex1)) | ((~v88(constB189, bitIndex2)) <=> v90(constB189, bitIndex2)) | ((~v88(constB189, bitIndex0)) <=> v90(constB189, bitIndex0))) | (~((~v88(constB189, bitIndex0)) <=> v90(constB189, bitIndex0)))),
% 8.61/6.54 inference(tautology,[status(thm)],[])).
% 8.61/6.54 tff(25298,plain,
% 8.61/6.54 (~((~v88(constB189, bitIndex0)) <=> v90(constB189, bitIndex0))),
% 8.61/6.54 inference(unit_resolution,[status(thm)],[25297, 25292])).
% 8.61/6.54 tff(25299,plain,
% 8.61/6.54 (((~v88(constB189, bitIndex0)) <=> v90(constB189, bitIndex0)) | (~v88(constB189, bitIndex0)) | v90(constB189, bitIndex0)),
% 8.61/6.54 inference(tautology,[status(thm)],[])).
% 8.61/6.54 tff(25300,plain,
% 8.61/6.54 (~v88(constB189, bitIndex0)),
% 8.61/6.54 inference(unit_resolution,[status(thm)],[25299, 23480, 25298])).
% 8.61/6.54 tff(25301,plain,
% 8.61/6.54 ((((~v88(constB189, bitIndex1)) <=> v90(constB189, bitIndex1)) | ((~v88(constB189, bitIndex2)) <=> v90(constB189, bitIndex2)) | ((~v88(constB189, bitIndex0)) <=> v90(constB189, bitIndex0))) | (~((~v88(constB189, bitIndex1)) <=> v90(constB189, bitIndex1)))),
% 8.61/6.54 inference(tautology,[status(thm)],[])).
% 8.61/6.54 tff(25302,plain,
% 8.61/6.54 (~((~v88(constB189, bitIndex1)) <=> v90(constB189, bitIndex1))),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25301, 25292])).
% 8.61/6.55 tff(25303,plain,
% 8.61/6.55 (((~v88(constB189, bitIndex1)) <=> v90(constB189, bitIndex1)) | v88(constB189, bitIndex1) | (~v90(constB189, bitIndex1))),
% 8.61/6.55 inference(tautology,[status(thm)],[])).
% 8.61/6.55 tff(25304,plain,
% 8.61/6.55 (v88(constB189, bitIndex1)),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25303, 23498, 25302])).
% 8.61/6.55 tff(25305,plain,
% 8.61/6.55 ((~((~v88(constB189, bitIndex1)) | v88(constB189, bitIndex2) | v88(constB189, bitIndex0))) | (~v88(constB189, bitIndex1)) | v88(constB189, bitIndex2) | v88(constB189, bitIndex0)),
% 8.61/6.55 inference(tautology,[status(thm)],[])).
% 8.61/6.55 tff(25306,plain,
% 8.61/6.55 (~((~v88(constB189, bitIndex1)) | v88(constB189, bitIndex2) | v88(constB189, bitIndex0))),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25305, 25304, 25300, 25296])).
% 8.61/6.55 tff(25307,plain,
% 8.61/6.55 ((~(v143(constB189) <=> (~((~v88(constB189, bitIndex1)) | v88(constB189, bitIndex2) | v88(constB189, bitIndex0))))) | v143(constB189) | ((~v88(constB189, bitIndex1)) | v88(constB189, bitIndex2) | v88(constB189, bitIndex0))),
% 8.61/6.55 inference(tautology,[status(thm)],[])).
% 8.61/6.55 tff(25308,plain,
% 8.61/6.55 (v143(constB189)),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25307, 25306, 25290])).
% 8.61/6.55 tff(25309,plain,
% 8.61/6.55 ((v143(constB189) | v144(constB189)) | (~v143(constB189))),
% 8.61/6.55 inference(tautology,[status(thm)],[])).
% 8.61/6.55 tff(25310,plain,
% 8.61/6.55 (v143(constB189) | v144(constB189)),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25309, 25308])).
% 8.61/6.55 tff(25311,plain,
% 8.61/6.55 ((~(v142(constB189) <=> (v143(constB189) | v144(constB189)))) | v142(constB189) | (~(v143(constB189) | v144(constB189)))),
% 8.61/6.55 inference(tautology,[status(thm)],[])).
% 8.61/6.55 tff(25312,plain,
% 8.61/6.55 (v142(constB189)),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25311, 25310, 25283])).
% 8.61/6.55 tff(25313,plain,
% 8.61/6.55 ((v142(constB189) | v168(constB189)) | (~v142(constB189))),
% 8.61/6.55 inference(tautology,[status(thm)],[])).
% 8.61/6.55 tff(25314,plain,
% 8.61/6.55 (v142(constB189) | v168(constB189)),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25313, 25312])).
% 8.61/6.55 tff(25315,plain,
% 8.61/6.55 ((~(v167(constB189) <=> (v142(constB189) | v168(constB189)))) | v167(constB189) | (~(v142(constB189) | v168(constB189)))),
% 8.61/6.55 inference(tautology,[status(thm)],[])).
% 8.61/6.55 tff(25316,plain,
% 8.61/6.55 ((~(v167(constB189) <=> (v142(constB189) | v168(constB189)))) | v167(constB189)),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25315, 25314])).
% 8.61/6.55 tff(25317,plain,
% 8.61/6.55 (v167(constB189)),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25316, 25281])).
% 8.61/6.55 tff(25318,plain,
% 8.61/6.55 ((v145(constB189) | v167(constB189)) | (~v167(constB189))),
% 8.61/6.55 inference(tautology,[status(thm)],[])).
% 8.61/6.55 tff(25319,plain,
% 8.61/6.55 (v145(constB189) | v167(constB189)),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25318, 25317])).
% 8.61/6.55 tff(25320,plain,
% 8.61/6.55 ((~(v166(constB189) <=> (v145(constB189) | v167(constB189)))) | v166(constB189) | (~(v145(constB189) | v167(constB189)))),
% 8.61/6.55 inference(tautology,[status(thm)],[])).
% 8.61/6.55 tff(25321,plain,
% 8.61/6.55 (v166(constB189)),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25320, 25319, 25279])).
% 8.61/6.55 tff(25322,plain,
% 8.61/6.55 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB189)) | (v163(constB189) <=> v170(constB189)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB189)) | (v163(constB189) <=> v170(constB189)))),
% 8.61/6.55 inference(rewrite,[status(thm)],[])).
% 8.61/6.55 tff(25323,plain,
% 8.61/6.55 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB189)) | (v163(constB189) <=> v170(constB189)))),
% 8.61/6.55 inference(quant_inst,[status(thm)],[])).
% 8.61/6.55 tff(25324,plain,
% 8.61/6.55 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB189)) | (v163(constB189) <=> v170(constB189))),
% 8.61/6.55 inference(modus_ponens,[status(thm)],[25323, 25322])).
% 8.61/6.55 tff(25325,plain,
% 8.61/6.55 ((~v166(constB189)) | (v163(constB189) <=> v170(constB189))),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25324, 9851])).
% 8.61/6.55 tff(25326,plain,
% 8.61/6.55 (v163(constB189) <=> v170(constB189)),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25325, 25321])).
% 8.61/6.55 tff(25327,plain,
% 8.61/6.55 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB189) <=> (v142(constB189) | v150(constB189)))),
% 8.61/6.55 inference(quant_inst,[status(thm)],[])).
% 8.61/6.55 tff(25328,plain,
% 8.61/6.55 (v171(constB189) <=> (v142(constB189) | v150(constB189))),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25327, 9866])).
% 8.61/6.55 tff(25329,plain,
% 8.61/6.55 ((v142(constB189) | v150(constB189)) | (~v142(constB189))),
% 8.61/6.55 inference(tautology,[status(thm)],[])).
% 8.61/6.55 tff(25330,plain,
% 8.61/6.55 (v142(constB189) | v150(constB189)),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25329, 25312])).
% 8.61/6.55 tff(25331,plain,
% 8.61/6.55 ((~(v171(constB189) <=> (v142(constB189) | v150(constB189)))) | v171(constB189) | (~(v142(constB189) | v150(constB189)))),
% 8.61/6.55 inference(tautology,[status(thm)],[])).
% 8.61/6.55 tff(25332,plain,
% 8.61/6.55 ((~(v171(constB189) <=> (v142(constB189) | v150(constB189)))) | v171(constB189)),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25331, 25330])).
% 8.61/6.55 tff(25333,plain,
% 8.61/6.55 (v171(constB189)),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25332, 25328])).
% 8.61/6.55 tff(25334,plain,
% 8.61/6.55 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB189)) | (~v171(constB189)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB189)) | (~v171(constB189)))),
% 8.61/6.55 inference(rewrite,[status(thm)],[])).
% 8.61/6.55 tff(25335,plain,
% 8.61/6.55 (((~v171(constB189)) | (~v170(constB189))) <=> ((~v170(constB189)) | (~v171(constB189)))),
% 8.61/6.55 inference(rewrite,[status(thm)],[])).
% 8.61/6.55 tff(25336,plain,
% 8.61/6.55 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB189)) | (~v170(constB189)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB189)) | (~v171(constB189))))),
% 8.61/6.55 inference(monotonicity,[status(thm)],[25335])).
% 8.61/6.55 tff(25337,plain,
% 8.61/6.55 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB189)) | (~v170(constB189)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB189)) | (~v171(constB189)))),
% 8.61/6.55 inference(transitivity,[status(thm)],[25336, 25334])).
% 8.61/6.55 tff(25338,plain,
% 8.61/6.55 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB189)) | (~v170(constB189)))),
% 8.61/6.55 inference(quant_inst,[status(thm)],[])).
% 8.61/6.55 tff(25339,plain,
% 8.61/6.55 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB189)) | (~v171(constB189))),
% 8.61/6.55 inference(modus_ponens,[status(thm)],[25338, 25337])).
% 8.61/6.55 tff(25340,plain,
% 8.61/6.55 (~v170(constB189)),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25339, 9899, 25333])).
% 8.61/6.55 tff(25341,plain,
% 8.61/6.55 ((~(v163(constB189) <=> v170(constB189))) | (~v163(constB189)) | v170(constB189)),
% 8.61/6.55 inference(tautology,[status(thm)],[])).
% 8.61/6.55 tff(25342,plain,
% 8.61/6.55 (~v163(constB189)),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25341, 25340, 25326])).
% 8.61/6.55 tff(25343,plain,
% 8.61/6.55 ((~(v161(constB189) <=> v163(constB189))) | (~v161(constB189)) | v163(constB189)),
% 8.61/6.55 inference(tautology,[status(thm)],[])).
% 8.61/6.55 tff(25344,plain,
% 8.61/6.55 (~v161(constB189)),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25343, 25342, 25277])).
% 8.61/6.55 tff(25345,plain,
% 8.61/6.55 (((~v159(constB189)) | (~v161(constB189))) | v161(constB189)),
% 8.61/6.55 inference(tautology,[status(thm)],[])).
% 8.61/6.55 tff(25346,plain,
% 8.61/6.55 ((~v159(constB189)) | (~v161(constB189))),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25345, 25344])).
% 8.61/6.55 tff(25347,plain,
% 8.61/6.55 ((~(v201(constB189) <=> (~((~v159(constB189)) | (~v161(constB189)))))) | (~v201(constB189)) | (~((~v159(constB189)) | (~v161(constB189))))),
% 8.61/6.55 inference(tautology,[status(thm)],[])).
% 8.61/6.55 tff(25348,plain,
% 8.61/6.55 (~v201(constB189)),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25347, 25346, 25275])).
% 8.61/6.55 tff(25349,plain,
% 8.61/6.55 (((~v197(constB189)) | (~v201(constB189))) | v201(constB189)),
% 8.61/6.55 inference(tautology,[status(thm)],[])).
% 8.61/6.55 tff(25350,plain,
% 8.61/6.55 ((~v197(constB189)) | (~v201(constB189))),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25349, 25348])).
% 8.61/6.55 tff(25351,plain,
% 8.61/6.55 ((~(v200(constB189) <=> (~((~v197(constB189)) | (~v201(constB189)))))) | (~v200(constB189)) | (~((~v197(constB189)) | (~v201(constB189))))),
% 8.61/6.55 inference(tautology,[status(thm)],[])).
% 8.61/6.55 tff(25352,plain,
% 8.61/6.55 (~v200(constB189)),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25351, 25350, 25273])).
% 8.61/6.55 tff(25353,plain,
% 8.61/6.55 (((~v199(constB189)) | (~v200(constB189))) | v200(constB189)),
% 8.61/6.55 inference(tautology,[status(thm)],[])).
% 8.61/6.55 tff(25354,plain,
% 8.61/6.55 ((~v199(constB189)) | (~v200(constB189))),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25353, 25352])).
% 8.61/6.55 tff(25355,plain,
% 8.61/6.55 ((~(v198(constB189) <=> (~((~v199(constB189)) | (~v200(constB189)))))) | (~v198(constB189)) | (~((~v199(constB189)) | (~v200(constB189))))),
% 8.61/6.55 inference(tautology,[status(thm)],[])).
% 8.61/6.55 tff(25356,plain,
% 8.61/6.55 (~v198(constB189)),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25355, 25354, 25271])).
% 8.61/6.55 tff(25357,plain,
% 8.61/6.55 ((~(v194(constB189) | v198(constB189))) | v194(constB189) | v198(constB189)),
% 8.61/6.55 inference(tautology,[status(thm)],[])).
% 8.61/6.55 tff(25358,plain,
% 8.61/6.55 (~(v194(constB189) | v198(constB189))),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25357, 25356, 25269])).
% 8.61/6.55 tff(25359,plain,
% 8.61/6.55 ((~(v191(constB189) <=> (v194(constB189) | v198(constB189)))) | (~v191(constB189)) | (v194(constB189) | v198(constB189))),
% 8.61/6.55 inference(tautology,[status(thm)],[])).
% 8.61/6.55 tff(25360,plain,
% 8.61/6.55 (~v191(constB189)),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25359, 25358, 25196])).
% 8.61/6.55 tff(25361,plain,
% 8.61/6.55 ((~(v193(constB190) <=> v191(constB189))) | (~v193(constB190)) | v191(constB189)),
% 8.61/6.55 inference(tautology,[status(thm)],[])).
% 8.61/6.55 tff(25362,plain,
% 8.61/6.55 (~v193(constB190)),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25361, 25360, 25194])).
% 8.61/6.55 tff(25363,plain,
% 8.61/6.55 ((~(v157(constB190) <=> v193(constB190))) | (~v157(constB190)) | v193(constB190)),
% 8.61/6.55 inference(tautology,[status(thm)],[])).
% 8.61/6.55 tff(25364,plain,
% 8.61/6.55 (~v157(constB190)),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25363, 25362, 25190])).
% 8.61/6.55 tff(25365,plain,
% 8.61/6.55 (((~v157(constB190)) | (~v195(constB190))) | v157(constB190)),
% 8.61/6.55 inference(tautology,[status(thm)],[])).
% 8.61/6.55 tff(25366,plain,
% 8.61/6.55 ((~v157(constB190)) | (~v195(constB190))),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25365, 25364])).
% 8.61/6.55 tff(25367,plain,
% 8.61/6.55 ((~(v194(constB190) <=> (~((~v157(constB190)) | (~v195(constB190)))))) | (~v194(constB190)) | (~((~v157(constB190)) | (~v195(constB190))))),
% 8.61/6.55 inference(tautology,[status(thm)],[])).
% 8.61/6.55 tff(25368,plain,
% 8.61/6.55 (~v194(constB190)),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25367, 25366, 25188])).
% 8.61/6.55 tff(25369,plain,
% 8.61/6.55 ((~(v194(constB190) | v198(constB190))) | v194(constB190) | v198(constB190)),
% 8.61/6.55 inference(tautology,[status(thm)],[])).
% 8.61/6.55 tff(25370,plain,
% 8.61/6.55 (~(v194(constB190) | v198(constB190))),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25369, 25368, 25181])).
% 8.61/6.55 tff(25371,plain,
% 8.61/6.55 ((~(v191(constB190) <=> (v194(constB190) | v198(constB190)))) | (~v191(constB190)) | (v194(constB190) | v198(constB190))),
% 8.61/6.55 inference(tautology,[status(thm)],[])).
% 8.61/6.55 tff(25372,plain,
% 8.61/6.55 (~v191(constB190)),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25371, 25370, 25156])).
% 8.61/6.55 tff(25373,plain,
% 8.61/6.55 ((~(v193(constB191) <=> v191(constB190))) | (~v193(constB191)) | v191(constB190)),
% 8.61/6.55 inference(tautology,[status(thm)],[])).
% 8.61/6.55 tff(25374,plain,
% 8.61/6.55 (~v193(constB191)),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25373, 25372, 25154])).
% 8.61/6.55 tff(25375,plain,
% 8.61/6.55 ($false),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25374, 25150])).
% 8.61/6.55 tff(25376,plain,(~(constB191 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.61/6.55 tff(25377,assumption,(constB171 = VarCurr!0), introduced(assumption)).
% 8.61/6.55 tff(25378,plain,
% 8.61/6.55 (v193(constB171) <=> v193(VarCurr!0)),
% 8.61/6.55 inference(monotonicity,[status(thm)],[25377])).
% 8.61/6.55 tff(25379,plain,
% 8.61/6.55 (v193(VarCurr!0) <=> v193(constB171)),
% 8.61/6.55 inference(symmetry,[status(thm)],[25378])).
% 8.61/6.55 tff(25380,plain,
% 8.61/6.55 (v193(constB171)),
% 8.61/6.55 inference(modus_ponens,[status(thm)],[59, 25379])).
% 8.61/6.55 tff(25381,plain,
% 8.61/6.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB170, constB171)) | (v193(constB171) <=> v191(constB170)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB170, constB171)) | (v193(constB171) <=> v191(constB170)))),
% 8.61/6.55 inference(rewrite,[status(thm)],[])).
% 8.61/6.55 tff(25382,plain,
% 8.61/6.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB170, constB171)) | (v193(constB171) <=> v191(constB170)))),
% 8.61/6.55 inference(quant_inst,[status(thm)],[])).
% 8.61/6.55 tff(25383,plain,
% 8.61/6.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB170, constB171)) | (v193(constB171) <=> v191(constB170))),
% 8.61/6.55 inference(modus_ponens,[status(thm)],[25382, 25381])).
% 8.61/6.55 tff(25384,plain,
% 8.61/6.55 (v193(constB171) <=> v191(constB170)),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25383, 15773, 70])).
% 8.61/6.55 tff(25385,plain,
% 8.61/6.55 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB170) <=> (v194(constB170) | v198(constB170)))),
% 8.61/6.55 inference(quant_inst,[status(thm)],[])).
% 8.61/6.55 tff(25386,plain,
% 8.61/6.55 (v191(constB170) <=> (v194(constB170) | v198(constB170))),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25385, 84])).
% 8.61/6.55 tff(25387,plain,
% 8.61/6.55 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB170) <=> (~((~v199(constB170)) | (~v200(constB170)))))),
% 8.61/6.55 inference(quant_inst,[status(thm)],[])).
% 8.61/6.55 tff(25388,plain,
% 8.61/6.55 (v198(constB170) <=> (~((~v199(constB170)) | (~v200(constB170))))),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25387, 96])).
% 8.61/6.55 tff(25389,plain,
% 8.61/6.55 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB170) <=> (~((~v197(constB170)) | (~v201(constB170)))))),
% 8.61/6.55 inference(quant_inst,[status(thm)],[])).
% 8.61/6.55 tff(25390,plain,
% 8.61/6.55 (v200(constB170) <=> (~((~v197(constB170)) | (~v201(constB170))))),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25389, 108])).
% 8.61/6.55 tff(25391,plain,
% 8.61/6.55 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB170) <=> (~((~v39(constB170)) | (~v9(constB170)))))),
% 8.61/6.55 inference(quant_inst,[status(thm)],[])).
% 8.61/6.55 tff(25392,plain,
% 8.61/6.55 (v197(constB170) <=> (~((~v39(constB170)) | (~v9(constB170))))),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25391, 120])).
% 8.61/6.55 tff(25393,plain,
% 8.61/6.55 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB170)) <=> v1(constB170))),
% 8.61/6.55 inference(quant_inst,[status(thm)],[])).
% 8.61/6.55 tff(25394,plain,
% 8.61/6.55 ((~v39(constB170)) <=> v1(constB170)),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25393, 129])).
% 8.61/6.55 tff(25395,plain,
% 8.61/6.55 ((~((~v39(constB170)) <=> v1(constB170))) | (~v39(constB170)) | (~v1(constB170))),
% 8.61/6.55 inference(tautology,[status(thm)],[])).
% 8.61/6.55 tff(25396,plain,
% 8.61/6.55 ((~((~v39(constB170)) <=> v1(constB170))) | (~v39(constB170))),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25395, 21941])).
% 8.61/6.55 tff(25397,plain,
% 8.61/6.55 (~v39(constB170)),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25396, 25394])).
% 8.61/6.55 tff(25398,plain,
% 8.61/6.55 (((~v39(constB170)) | (~v9(constB170))) | v39(constB170)),
% 8.61/6.55 inference(tautology,[status(thm)],[])).
% 8.61/6.55 tff(25399,plain,
% 8.61/6.55 ((~v39(constB170)) | (~v9(constB170))),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25398, 25397])).
% 8.61/6.55 tff(25400,plain,
% 8.61/6.55 ((~(v197(constB170) <=> (~((~v39(constB170)) | (~v9(constB170)))))) | (~v197(constB170)) | (~((~v39(constB170)) | (~v9(constB170))))),
% 8.61/6.55 inference(tautology,[status(thm)],[])).
% 8.61/6.55 tff(25401,plain,
% 8.61/6.55 ((~(v197(constB170) <=> (~((~v39(constB170)) | (~v9(constB170)))))) | (~v197(constB170))),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25400, 25399])).
% 8.61/6.55 tff(25402,plain,
% 8.61/6.55 (~v197(constB170)),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25401, 25392])).
% 8.61/6.55 tff(25403,plain,
% 8.61/6.55 (((~v197(constB170)) | (~v201(constB170))) | v197(constB170)),
% 8.61/6.55 inference(tautology,[status(thm)],[])).
% 8.61/6.55 tff(25404,plain,
% 8.61/6.55 ((~v197(constB170)) | (~v201(constB170))),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25403, 25402])).
% 8.61/6.55 tff(25405,plain,
% 8.61/6.55 ((~(v200(constB170) <=> (~((~v197(constB170)) | (~v201(constB170)))))) | (~v200(constB170)) | (~((~v197(constB170)) | (~v201(constB170))))),
% 8.61/6.55 inference(tautology,[status(thm)],[])).
% 8.61/6.55 tff(25406,plain,
% 8.61/6.55 ((~(v200(constB170) <=> (~((~v197(constB170)) | (~v201(constB170)))))) | (~v200(constB170))),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25405, 25404])).
% 8.61/6.55 tff(25407,plain,
% 8.61/6.55 (~v200(constB170)),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25406, 25390])).
% 8.61/6.55 tff(25408,plain,
% 8.61/6.55 (((~v199(constB170)) | (~v200(constB170))) | v200(constB170)),
% 8.61/6.55 inference(tautology,[status(thm)],[])).
% 8.61/6.55 tff(25409,plain,
% 8.61/6.55 ((~v199(constB170)) | (~v200(constB170))),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25408, 25407])).
% 8.61/6.55 tff(25410,plain,
% 8.61/6.55 ((~(v198(constB170) <=> (~((~v199(constB170)) | (~v200(constB170)))))) | (~v198(constB170)) | (~((~v199(constB170)) | (~v200(constB170))))),
% 8.61/6.55 inference(tautology,[status(thm)],[])).
% 8.61/6.55 tff(25411,plain,
% 8.61/6.55 (~v198(constB170)),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25410, 25409, 25388])).
% 8.61/6.55 tff(25412,plain,
% 8.61/6.55 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB170) <=> (~((~v157(constB170)) | (~v195(constB170)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB170) <=> (~((~v157(constB170)) | (~v195(constB170))))))),
% 8.61/6.55 inference(rewrite,[status(thm)],[])).
% 8.61/6.55 tff(25413,plain,
% 8.61/6.55 ((v194(constB170) <=> (~((~v195(constB170)) | (~v157(constB170))))) <=> (v194(constB170) <=> (~((~v157(constB170)) | (~v195(constB170)))))),
% 8.61/6.55 inference(rewrite,[status(thm)],[])).
% 8.61/6.55 tff(25414,plain,
% 8.61/6.55 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB170) <=> (~((~v195(constB170)) | (~v157(constB170)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB170) <=> (~((~v157(constB170)) | (~v195(constB170))))))),
% 8.61/6.55 inference(monotonicity,[status(thm)],[25413])).
% 8.61/6.55 tff(25415,plain,
% 8.61/6.55 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB170) <=> (~((~v195(constB170)) | (~v157(constB170)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB170) <=> (~((~v157(constB170)) | (~v195(constB170))))))),
% 8.61/6.55 inference(transitivity,[status(thm)],[25414, 25412])).
% 8.61/6.55 tff(25416,plain,
% 8.61/6.55 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB170) <=> (~((~v195(constB170)) | (~v157(constB170)))))),
% 8.61/6.55 inference(quant_inst,[status(thm)],[])).
% 8.61/6.55 tff(25417,plain,
% 8.61/6.55 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB170) <=> (~((~v157(constB170)) | (~v195(constB170)))))),
% 8.61/6.55 inference(modus_ponens,[status(thm)],[25416, 25415])).
% 8.61/6.55 tff(25418,plain,
% 8.61/6.55 (v194(constB170) <=> (~((~v157(constB170)) | (~v195(constB170))))),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25417, 161])).
% 8.61/6.55 tff(25419,plain,
% 8.61/6.55 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB170) <=> v193(constB170))),
% 8.61/6.55 inference(quant_inst,[status(thm)],[])).
% 8.61/6.55 tff(25420,plain,
% 8.61/6.55 (v157(constB170) <=> v193(constB170)),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25419, 13])).
% 8.61/6.55 tff(25421,plain,
% 8.61/6.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB169, constB170)) | (v193(constB170) <=> v191(constB169)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB169, constB170)) | (v193(constB170) <=> v191(constB169)))),
% 8.61/6.55 inference(rewrite,[status(thm)],[])).
% 8.61/6.55 tff(25422,plain,
% 8.61/6.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB169, constB170)) | (v193(constB170) <=> v191(constB169)))),
% 8.61/6.55 inference(quant_inst,[status(thm)],[])).
% 8.61/6.55 tff(25423,plain,
% 8.61/6.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB169, constB170)) | (v193(constB170) <=> v191(constB169))),
% 8.61/6.55 inference(modus_ponens,[status(thm)],[25422, 25421])).
% 8.61/6.55 tff(25424,plain,
% 8.61/6.55 (v193(constB170) <=> v191(constB169)),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25423, 15809, 70])).
% 8.61/6.55 tff(25425,plain,
% 8.61/6.55 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB169) <=> (v194(constB169) | v198(constB169)))),
% 8.61/6.55 inference(quant_inst,[status(thm)],[])).
% 8.61/6.55 tff(25426,plain,
% 8.61/6.55 (v191(constB169) <=> (v194(constB169) | v198(constB169))),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25425, 84])).
% 8.61/6.55 tff(25427,plain,
% 8.61/6.55 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB169) <=> (~((~v157(constB169)) | (~v195(constB169)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB169) <=> (~((~v157(constB169)) | (~v195(constB169))))))),
% 8.61/6.55 inference(rewrite,[status(thm)],[])).
% 8.61/6.55 tff(25428,plain,
% 8.61/6.55 ((v194(constB169) <=> (~((~v195(constB169)) | (~v157(constB169))))) <=> (v194(constB169) <=> (~((~v157(constB169)) | (~v195(constB169)))))),
% 8.61/6.55 inference(rewrite,[status(thm)],[])).
% 8.61/6.55 tff(25429,plain,
% 8.61/6.55 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB169) <=> (~((~v195(constB169)) | (~v157(constB169)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB169) <=> (~((~v157(constB169)) | (~v195(constB169))))))),
% 8.61/6.55 inference(monotonicity,[status(thm)],[25428])).
% 8.61/6.55 tff(25430,plain,
% 8.61/6.55 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB169) <=> (~((~v195(constB169)) | (~v157(constB169)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB169) <=> (~((~v157(constB169)) | (~v195(constB169))))))),
% 8.61/6.55 inference(transitivity,[status(thm)],[25429, 25427])).
% 8.61/6.55 tff(25431,plain,
% 8.61/6.55 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB169) <=> (~((~v195(constB169)) | (~v157(constB169)))))),
% 8.61/6.55 inference(quant_inst,[status(thm)],[])).
% 8.61/6.55 tff(25432,plain,
% 8.61/6.55 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB169) <=> (~((~v157(constB169)) | (~v195(constB169)))))),
% 8.61/6.55 inference(modus_ponens,[status(thm)],[25431, 25430])).
% 8.61/6.55 tff(25433,plain,
% 8.61/6.55 (v194(constB169) <=> (~((~v157(constB169)) | (~v195(constB169))))),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25432, 161])).
% 8.61/6.55 tff(25434,plain,
% 8.61/6.55 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB169)) <=> v196(constB169))),
% 8.61/6.55 inference(quant_inst,[status(thm)],[])).
% 8.61/6.55 tff(25435,plain,
% 8.61/6.55 ((~v195(constB169)) <=> v196(constB169)),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25434, 193])).
% 8.61/6.55 tff(25436,plain,
% 8.61/6.55 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB169) <=> (v197(constB169) | v26(constB169)))),
% 8.61/6.55 inference(quant_inst,[status(thm)],[])).
% 8.61/6.55 tff(25437,plain,
% 8.61/6.55 (v196(constB169) <=> (v197(constB169) | v26(constB169))),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25436, 202])).
% 8.61/6.55 tff(25438,plain,
% 8.61/6.55 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB169) <=> (~((~v39(constB169)) | (~v9(constB169)))))),
% 8.61/6.55 inference(quant_inst,[status(thm)],[])).
% 8.61/6.55 tff(25439,plain,
% 8.61/6.55 (v197(constB169) <=> (~((~v39(constB169)) | (~v9(constB169))))),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25438, 120])).
% 8.61/6.55 tff(25440,plain,
% 8.61/6.55 (((~![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)))),
% 8.61/6.55 inference(rewrite,[status(thm)],[])).
% 8.61/6.55 tff(25441,plain,
% 8.61/6.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB169, constB170)) | (v13(constB170) <=> v9(constB169)))),
% 8.61/6.55 inference(quant_inst,[status(thm)],[])).
% 8.61/6.55 tff(25442,plain,
% 8.61/6.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB169, constB170)) | (v13(constB170) <=> v9(constB169))),
% 8.61/6.55 inference(modus_ponens,[status(thm)],[25441, 25440])).
% 8.61/6.55 tff(25443,plain,
% 8.61/6.55 (v13(constB170) <=> v9(constB169)),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25442, 15809, 216])).
% 8.61/6.55 tff(25444,plain,
% 8.61/6.55 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB170) <=> v13(constB170))),
% 8.61/6.55 inference(quant_inst,[status(thm)],[])).
% 8.61/6.55 tff(25445,plain,
% 8.61/6.55 (v6(constB170) <=> v13(constB170)),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25444, 230])).
% 8.61/6.55 tff(25446,plain,
% 8.61/6.55 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB170)) <=> v6(constB170))),
% 8.61/6.55 inference(quant_inst,[status(thm)],[])).
% 8.61/6.55 tff(25447,plain,
% 8.61/6.55 ((~v21(constB170)) <=> v6(constB170)),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25446, 239])).
% 8.61/6.55 tff(25448,plain,
% 8.61/6.55 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB170) <=> (v20(constB170) | v21(constB170)))),
% 8.61/6.55 inference(quant_inst,[status(thm)],[])).
% 8.61/6.55 tff(25449,plain,
% 8.61/6.55 (v19(constB170) <=> (v20(constB170) | v21(constB170))),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25448, 248])).
% 8.61/6.55 tff(25450,plain,
% 8.61/6.55 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB170) <=> (~((~v19(constB170)) | (~v22(constB170)))))),
% 8.61/6.55 inference(quant_inst,[status(thm)],[])).
% 8.61/6.55 tff(25451,plain,
% 8.61/6.55 (v18(constB170) <=> (~((~v19(constB170)) | (~v22(constB170))))),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25450, 260])).
% 8.61/6.55 tff(25452,plain,
% 8.61/6.55 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB170)) <=> v18(constB170))),
% 8.61/6.55 inference(quant_inst,[status(thm)],[])).
% 8.61/6.55 tff(25453,plain,
% 8.61/6.55 ((~v4(constB170)) <=> v18(constB170)),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25452, 269])).
% 8.61/6.55 tff(25454,plain,
% 8.61/6.55 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB170)),
% 8.61/6.55 inference(quant_inst,[status(thm)],[])).
% 8.61/6.55 tff(25455,plain,
% 8.61/6.55 (v4(constB170)),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25454, 278])).
% 8.61/6.55 tff(25456,plain,
% 8.61/6.55 ((~((~v4(constB170)) <=> v18(constB170))) | (~v4(constB170)) | (~v18(constB170))),
% 8.61/6.55 inference(tautology,[status(thm)],[])).
% 8.61/6.55 tff(25457,plain,
% 8.61/6.55 (~v18(constB170)),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25456, 25455, 25453])).
% 8.61/6.55 tff(25458,plain,
% 8.61/6.55 ((~(v18(constB170) <=> (~((~v19(constB170)) | (~v22(constB170)))))) | v18(constB170) | ((~v19(constB170)) | (~v22(constB170)))),
% 8.61/6.55 inference(tautology,[status(thm)],[])).
% 8.61/6.55 tff(25459,plain,
% 8.61/6.55 ((~v19(constB170)) | (~v22(constB170))),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25458, 25457, 25451])).
% 8.61/6.55 tff(25460,plain,
% 8.61/6.55 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB170) <=> (v1(constB170) | v6(constB170)))),
% 8.61/6.55 inference(quant_inst,[status(thm)],[])).
% 8.61/6.55 tff(25461,plain,
% 8.61/6.55 (v22(constB170) <=> (v1(constB170) | v6(constB170))),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25460, 291])).
% 8.61/6.55 tff(25462,plain,
% 8.61/6.55 ((v1(constB170) | v6(constB170)) | (~v1(constB170))),
% 8.61/6.55 inference(tautology,[status(thm)],[])).
% 8.61/6.55 tff(25463,plain,
% 8.61/6.55 (v1(constB170) | v6(constB170)),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25462, 21941])).
% 8.61/6.55 tff(25464,plain,
% 8.61/6.55 ((~(v22(constB170) <=> (v1(constB170) | v6(constB170)))) | v22(constB170) | (~(v1(constB170) | v6(constB170)))),
% 8.61/6.55 inference(tautology,[status(thm)],[])).
% 8.61/6.55 tff(25465,plain,
% 8.61/6.55 ((~(v22(constB170) <=> (v1(constB170) | v6(constB170)))) | v22(constB170)),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25464, 25463])).
% 8.61/6.55 tff(25466,plain,
% 8.61/6.55 (v22(constB170)),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25465, 25461])).
% 8.61/6.55 tff(25467,plain,
% 8.61/6.55 ((~((~v19(constB170)) | (~v22(constB170)))) | (~v19(constB170)) | (~v22(constB170))),
% 8.61/6.55 inference(tautology,[status(thm)],[])).
% 8.61/6.55 tff(25468,plain,
% 8.61/6.55 ((~((~v19(constB170)) | (~v22(constB170)))) | (~v19(constB170))),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25467, 25466])).
% 8.61/6.55 tff(25469,plain,
% 8.61/6.55 (~v19(constB170)),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25468, 25459])).
% 8.61/6.55 tff(25470,plain,
% 8.61/6.55 ((~(v19(constB170) <=> (v20(constB170) | v21(constB170)))) | v19(constB170) | (~(v20(constB170) | v21(constB170)))),
% 8.61/6.55 inference(tautology,[status(thm)],[])).
% 8.61/6.55 tff(25471,plain,
% 8.61/6.55 (~(v20(constB170) | v21(constB170))),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25470, 25469, 25449])).
% 8.61/6.55 tff(25472,plain,
% 8.61/6.55 ((v20(constB170) | v21(constB170)) | (~v21(constB170))),
% 8.61/6.55 inference(tautology,[status(thm)],[])).
% 8.61/6.55 tff(25473,plain,
% 8.61/6.55 (~v21(constB170)),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25472, 25471])).
% 8.61/6.55 tff(25474,plain,
% 8.61/6.55 ((~((~v21(constB170)) <=> v6(constB170))) | v21(constB170) | v6(constB170)),
% 8.61/6.55 inference(tautology,[status(thm)],[])).
% 8.61/6.55 tff(25475,plain,
% 8.61/6.55 (v6(constB170)),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25474, 25473, 25447])).
% 8.61/6.55 tff(25476,plain,
% 8.61/6.55 ((~(v6(constB170) <=> v13(constB170))) | (~v6(constB170)) | v13(constB170)),
% 8.61/6.55 inference(tautology,[status(thm)],[])).
% 8.61/6.55 tff(25477,plain,
% 8.61/6.55 (v13(constB170)),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25476, 25475, 25445])).
% 8.61/6.55 tff(25478,plain,
% 8.61/6.55 ((~(v13(constB170) <=> v9(constB169))) | (~v13(constB170)) | v9(constB169)),
% 8.61/6.55 inference(tautology,[status(thm)],[])).
% 8.61/6.55 tff(25479,plain,
% 8.61/6.55 (v9(constB169)),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25478, 25477, 25443])).
% 8.61/6.55 tff(25480,plain,
% 8.61/6.55 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB169)) <=> v1(constB169))),
% 8.61/6.55 inference(quant_inst,[status(thm)],[])).
% 8.61/6.55 tff(25481,plain,
% 8.61/6.55 ((~v39(constB169)) <=> v1(constB169)),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25480, 129])).
% 8.61/6.55 tff(25482,plain,
% 8.61/6.55 ((~((~v39(constB169)) <=> v1(constB169))) | v39(constB169) | v1(constB169)),
% 8.61/6.55 inference(tautology,[status(thm)],[])).
% 8.61/6.55 tff(25483,plain,
% 8.61/6.55 ((~((~v39(constB169)) <=> v1(constB169))) | v39(constB169)),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25482, 15853])).
% 8.61/6.55 tff(25484,plain,
% 8.61/6.55 (v39(constB169)),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25483, 25481])).
% 8.61/6.55 tff(25485,plain,
% 8.61/6.55 ((~((~v39(constB169)) | (~v9(constB169)))) | (~v39(constB169)) | (~v9(constB169))),
% 8.61/6.55 inference(tautology,[status(thm)],[])).
% 8.61/6.55 tff(25486,plain,
% 8.61/6.55 ((~((~v39(constB169)) | (~v9(constB169)))) | (~v9(constB169))),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25485, 25484])).
% 8.61/6.55 tff(25487,plain,
% 8.61/6.55 (~((~v39(constB169)) | (~v9(constB169)))),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25486, 25479])).
% 8.61/6.55 tff(25488,plain,
% 8.61/6.55 ((~(v197(constB169) <=> (~((~v39(constB169)) | (~v9(constB169)))))) | v197(constB169) | ((~v39(constB169)) | (~v9(constB169)))),
% 8.61/6.55 inference(tautology,[status(thm)],[])).
% 8.61/6.55 tff(25489,plain,
% 8.61/6.55 (v197(constB169)),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25488, 25487, 25439])).
% 8.61/6.55 tff(25490,plain,
% 8.61/6.55 ((v197(constB169) | v26(constB169)) | (~v197(constB169))),
% 8.61/6.55 inference(tautology,[status(thm)],[])).
% 8.61/6.55 tff(25491,plain,
% 8.61/6.55 (v197(constB169) | v26(constB169)),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25490, 25489])).
% 8.61/6.55 tff(25492,plain,
% 8.61/6.55 ((~(v196(constB169) <=> (v197(constB169) | v26(constB169)))) | v196(constB169) | (~(v197(constB169) | v26(constB169)))),
% 8.61/6.55 inference(tautology,[status(thm)],[])).
% 8.61/6.55 tff(25493,plain,
% 8.61/6.55 (v196(constB169)),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25492, 25491, 25437])).
% 8.61/6.55 tff(25494,plain,
% 8.61/6.55 ((~((~v195(constB169)) <=> v196(constB169))) | (~v195(constB169)) | (~v196(constB169))),
% 8.61/6.55 inference(tautology,[status(thm)],[])).
% 8.61/6.55 tff(25495,plain,
% 8.61/6.55 (~v195(constB169)),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25494, 25493, 25435])).
% 8.61/6.55 tff(25496,plain,
% 8.61/6.55 (((~v157(constB169)) | (~v195(constB169))) | v195(constB169)),
% 8.61/6.55 inference(tautology,[status(thm)],[])).
% 8.61/6.55 tff(25497,plain,
% 8.61/6.55 ((~v157(constB169)) | (~v195(constB169))),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25496, 25495])).
% 8.61/6.55 tff(25498,plain,
% 8.61/6.55 ((~(v194(constB169) <=> (~((~v157(constB169)) | (~v195(constB169)))))) | (~v194(constB169)) | (~((~v157(constB169)) | (~v195(constB169))))),
% 8.61/6.55 inference(tautology,[status(thm)],[])).
% 8.61/6.55 tff(25499,plain,
% 8.61/6.55 (~v194(constB169)),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25498, 25497, 25433])).
% 8.61/6.55 tff(25500,plain,
% 8.61/6.55 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB169) <=> (~((~v199(constB169)) | (~v200(constB169)))))),
% 8.61/6.55 inference(quant_inst,[status(thm)],[])).
% 8.61/6.55 tff(25501,plain,
% 8.61/6.55 (v198(constB169) <=> (~((~v199(constB169)) | (~v200(constB169))))),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25500, 96])).
% 8.61/6.55 tff(25502,plain,
% 8.61/6.55 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB169) <=> (~((~v197(constB169)) | (~v201(constB169)))))),
% 8.61/6.55 inference(quant_inst,[status(thm)],[])).
% 8.61/6.55 tff(25503,plain,
% 8.61/6.55 (v200(constB169) <=> (~((~v197(constB169)) | (~v201(constB169))))),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25502, 108])).
% 8.61/6.55 tff(25504,plain,
% 8.61/6.55 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB169) <=> (~((~v159(constB169)) | (~v161(constB169)))))),
% 8.61/6.55 inference(quant_inst,[status(thm)],[])).
% 8.61/6.55 tff(25505,plain,
% 8.61/6.55 (v201(constB169) <=> (~((~v159(constB169)) | (~v161(constB169))))),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25504, 348])).
% 8.61/6.55 tff(25506,plain,
% 8.61/6.55 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB169) <=> v163(constB169))),
% 8.61/6.55 inference(quant_inst,[status(thm)],[])).
% 8.61/6.55 tff(25507,plain,
% 8.61/6.55 (v161(constB169) <=> v163(constB169)),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25506, 357])).
% 8.61/6.55 tff(25508,plain,
% 8.61/6.55 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB169) <=> (v145(constB169) | v167(constB169)))),
% 8.61/6.55 inference(quant_inst,[status(thm)],[])).
% 8.61/6.55 tff(25509,plain,
% 8.61/6.55 (v166(constB169) <=> (v145(constB169) | v167(constB169))),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25508, 369])).
% 8.61/6.55 tff(25510,plain,
% 8.61/6.55 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB169) <=> (v142(constB169) | v168(constB169)))),
% 8.61/6.55 inference(quant_inst,[status(thm)],[])).
% 8.61/6.55 tff(25511,plain,
% 8.61/6.55 (v167(constB169) <=> (v142(constB169) | v168(constB169))),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25510, 381])).
% 8.61/6.55 tff(25512,plain,
% 8.61/6.55 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB169) <=> (v143(constB169) | v144(constB169)))),
% 8.61/6.55 inference(quant_inst,[status(thm)],[])).
% 8.61/6.55 tff(25513,plain,
% 8.61/6.55 (v142(constB169) <=> (v143(constB169) | v144(constB169))),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25512, 10332])).
% 8.61/6.55 tff(25514,plain,
% 8.61/6.55 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB169) <=> (~((~v88(constB169, bitIndex1)) | v88(constB169, bitIndex2) | v88(constB169, bitIndex0))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB169) <=> (~((~v88(constB169, bitIndex1)) | v88(constB169, bitIndex2) | v88(constB169, bitIndex0)))))),
% 8.61/6.55 inference(rewrite,[status(thm)],[])).
% 8.61/6.55 tff(25515,plain,
% 8.61/6.55 ((v143(constB169) <=> (~(v88(constB169, bitIndex0) | v88(constB169, bitIndex2) | (~v88(constB169, bitIndex1))))) <=> (v143(constB169) <=> (~((~v88(constB169, bitIndex1)) | v88(constB169, bitIndex2) | v88(constB169, bitIndex0))))),
% 8.61/6.55 inference(rewrite,[status(thm)],[])).
% 8.61/6.55 tff(25516,plain,
% 8.61/6.55 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB169) <=> (~(v88(constB169, bitIndex0) | v88(constB169, bitIndex2) | (~v88(constB169, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB169) <=> (~((~v88(constB169, bitIndex1)) | v88(constB169, bitIndex2) | v88(constB169, bitIndex0)))))),
% 8.61/6.55 inference(monotonicity,[status(thm)],[25515])).
% 8.61/6.55 tff(25517,plain,
% 8.61/6.55 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB169) <=> (~(v88(constB169, bitIndex0) | v88(constB169, bitIndex2) | (~v88(constB169, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB169) <=> (~((~v88(constB169, bitIndex1)) | v88(constB169, bitIndex2) | v88(constB169, bitIndex0)))))),
% 8.61/6.55 inference(transitivity,[status(thm)],[25516, 25514])).
% 8.61/6.55 tff(25518,plain,
% 8.61/6.55 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB169) <=> (~(v88(constB169, bitIndex0) | v88(constB169, bitIndex2) | (~v88(constB169, bitIndex1)))))),
% 8.61/6.55 inference(quant_inst,[status(thm)],[])).
% 8.61/6.55 tff(25519,plain,
% 8.61/6.55 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB169) <=> (~((~v88(constB169, bitIndex1)) | v88(constB169, bitIndex2) | v88(constB169, bitIndex0))))),
% 8.61/6.55 inference(modus_ponens,[status(thm)],[25518, 25517])).
% 8.61/6.55 tff(25520,plain,
% 8.61/6.55 (v143(constB169) <=> (~((~v88(constB169, bitIndex1)) | v88(constB169, bitIndex2) | v88(constB169, bitIndex0)))),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25519, 14770])).
% 8.61/6.55 tff(25521,plain,
% 8.61/6.55 ((~![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))) | (~(((~v88(constB169, bitIndex1)) <=> v90(constB169, bitIndex1)) | ((~v88(constB169, bitIndex2)) <=> v90(constB169, bitIndex2)) | ((~v88(constB169, bitIndex0)) <=> v90(constB169, bitIndex0))))),
% 8.61/6.55 inference(quant_inst,[status(thm)],[])).
% 8.61/6.55 tff(25522,plain,
% 8.61/6.55 (~(((~v88(constB169, bitIndex1)) <=> v90(constB169, bitIndex1)) | ((~v88(constB169, bitIndex2)) <=> v90(constB169, bitIndex2)) | ((~v88(constB169, bitIndex0)) <=> v90(constB169, bitIndex0)))),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25521, 428])).
% 8.61/6.55 tff(25523,plain,
% 8.61/6.55 ((((~v88(constB169, bitIndex1)) <=> v90(constB169, bitIndex1)) | ((~v88(constB169, bitIndex2)) <=> v90(constB169, bitIndex2)) | ((~v88(constB169, bitIndex0)) <=> v90(constB169, bitIndex0))) | (~((~v88(constB169, bitIndex2)) <=> v90(constB169, bitIndex2)))),
% 8.61/6.55 inference(tautology,[status(thm)],[])).
% 8.61/6.55 tff(25524,plain,
% 8.61/6.55 (~((~v88(constB169, bitIndex2)) <=> v90(constB169, bitIndex2))),
% 8.61/6.55 inference(unit_resolution,[status(thm)],[25523, 25522])).
% 8.61/6.55 tff(25525,plain,
% 8.61/6.55 (((~v88(constB169, bitIndex2)) <=> v90(constB169, bitIndex2)) | (~v88(constB169, bitIndex2)) | v90(constB169, bitIndex2)),
% 8.61/6.56 inference(tautology,[status(thm)],[])).
% 8.61/6.56 tff(25526,plain,
% 8.61/6.56 (~v88(constB169, bitIndex2)),
% 8.61/6.56 inference(unit_resolution,[status(thm)],[25525, 21863, 25524])).
% 8.61/6.56 tff(25527,plain,
% 8.61/6.56 ((((~v88(constB169, bitIndex1)) <=> v90(constB169, bitIndex1)) | ((~v88(constB169, bitIndex2)) <=> v90(constB169, bitIndex2)) | ((~v88(constB169, bitIndex0)) <=> v90(constB169, bitIndex0))) | (~((~v88(constB169, bitIndex0)) <=> v90(constB169, bitIndex0)))),
% 8.61/6.56 inference(tautology,[status(thm)],[])).
% 8.61/6.56 tff(25528,plain,
% 8.61/6.56 (~((~v88(constB169, bitIndex0)) <=> v90(constB169, bitIndex0))),
% 8.61/6.56 inference(unit_resolution,[status(thm)],[25527, 25522])).
% 8.61/6.56 tff(25529,plain,
% 8.61/6.56 (((~v88(constB169, bitIndex0)) <=> v90(constB169, bitIndex0)) | (~v88(constB169, bitIndex0)) | v90(constB169, bitIndex0)),
% 8.61/6.56 inference(tautology,[status(thm)],[])).
% 8.61/6.56 tff(25530,plain,
% 8.61/6.56 (~v88(constB169, bitIndex0)),
% 8.61/6.56 inference(unit_resolution,[status(thm)],[25529, 21881, 25528])).
% 8.61/6.56 tff(25531,plain,
% 8.61/6.56 ((((~v88(constB169, bitIndex1)) <=> v90(constB169, bitIndex1)) | ((~v88(constB169, bitIndex2)) <=> v90(constB169, bitIndex2)) | ((~v88(constB169, bitIndex0)) <=> v90(constB169, bitIndex0))) | (~((~v88(constB169, bitIndex1)) <=> v90(constB169, bitIndex1)))),
% 8.61/6.56 inference(tautology,[status(thm)],[])).
% 8.61/6.56 tff(25532,plain,
% 8.61/6.56 (~((~v88(constB169, bitIndex1)) <=> v90(constB169, bitIndex1))),
% 8.61/6.56 inference(unit_resolution,[status(thm)],[25531, 25522])).
% 8.61/6.56 tff(25533,plain,
% 8.61/6.56 (((~v88(constB169, bitIndex1)) <=> v90(constB169, bitIndex1)) | v88(constB169, bitIndex1) | (~v90(constB169, bitIndex1))),
% 8.61/6.56 inference(tautology,[status(thm)],[])).
% 8.61/6.56 tff(25534,plain,
% 8.61/6.56 (v88(constB169, bitIndex1)),
% 8.61/6.56 inference(unit_resolution,[status(thm)],[25533, 21899, 25532])).
% 8.61/6.56 tff(25535,plain,
% 8.61/6.56 ((~((~v88(constB169, bitIndex1)) | v88(constB169, bitIndex2) | v88(constB169, bitIndex0))) | (~v88(constB169, bitIndex1)) | v88(constB169, bitIndex2) | v88(constB169, bitIndex0)),
% 8.61/6.56 inference(tautology,[status(thm)],[])).
% 8.61/6.56 tff(25536,plain,
% 8.61/6.56 (~((~v88(constB169, bitIndex1)) | v88(constB169, bitIndex2) | v88(constB169, bitIndex0))),
% 8.61/6.56 inference(unit_resolution,[status(thm)],[25535, 25534, 25530, 25526])).
% 8.61/6.56 tff(25537,plain,
% 8.61/6.56 ((~(v143(constB169) <=> (~((~v88(constB169, bitIndex1)) | v88(constB169, bitIndex2) | v88(constB169, bitIndex0))))) | v143(constB169) | ((~v88(constB169, bitIndex1)) | v88(constB169, bitIndex2) | v88(constB169, bitIndex0))),
% 8.61/6.56 inference(tautology,[status(thm)],[])).
% 8.61/6.56 tff(25538,plain,
% 8.61/6.56 (v143(constB169)),
% 8.61/6.56 inference(unit_resolution,[status(thm)],[25537, 25536, 25520])).
% 8.61/6.56 tff(25539,plain,
% 8.61/6.56 ((v143(constB169) | v144(constB169)) | (~v143(constB169))),
% 8.61/6.56 inference(tautology,[status(thm)],[])).
% 8.61/6.56 tff(25540,plain,
% 8.61/6.56 (v143(constB169) | v144(constB169)),
% 8.61/6.56 inference(unit_resolution,[status(thm)],[25539, 25538])).
% 8.61/6.56 tff(25541,plain,
% 8.61/6.56 ((~(v142(constB169) <=> (v143(constB169) | v144(constB169)))) | v142(constB169) | (~(v143(constB169) | v144(constB169)))),
% 8.61/6.56 inference(tautology,[status(thm)],[])).
% 8.61/6.56 tff(25542,plain,
% 8.61/6.56 (v142(constB169)),
% 8.61/6.56 inference(unit_resolution,[status(thm)],[25541, 25540, 25513])).
% 8.61/6.56 tff(25543,plain,
% 8.61/6.56 ((v142(constB169) | v168(constB169)) | (~v142(constB169))),
% 8.61/6.56 inference(tautology,[status(thm)],[])).
% 8.61/6.56 tff(25544,plain,
% 8.61/6.56 (v142(constB169) | v168(constB169)),
% 8.61/6.56 inference(unit_resolution,[status(thm)],[25543, 25542])).
% 8.61/6.56 tff(25545,plain,
% 8.61/6.56 ((~(v167(constB169) <=> (v142(constB169) | v168(constB169)))) | v167(constB169) | (~(v142(constB169) | v168(constB169)))),
% 8.61/6.56 inference(tautology,[status(thm)],[])).
% 8.61/6.56 tff(25546,plain,
% 8.61/6.56 ((~(v167(constB169) <=> (v142(constB169) | v168(constB169)))) | v167(constB169)),
% 8.61/6.56 inference(unit_resolution,[status(thm)],[25545, 25544])).
% 8.61/6.56 tff(25547,plain,
% 8.61/6.56 (v167(constB169)),
% 8.61/6.56 inference(unit_resolution,[status(thm)],[25546, 25511])).
% 8.61/6.56 tff(25548,plain,
% 8.61/6.56 ((v145(constB169) | v167(constB169)) | (~v167(constB169))),
% 8.61/6.56 inference(tautology,[status(thm)],[])).
% 8.61/6.56 tff(25549,plain,
% 8.61/6.56 (v145(constB169) | v167(constB169)),
% 8.61/6.56 inference(unit_resolution,[status(thm)],[25548, 25547])).
% 8.61/6.56 tff(25550,plain,
% 8.61/6.56 ((~(v166(constB169) <=> (v145(constB169) | v167(constB169)))) | v166(constB169) | (~(v145(constB169) | v167(constB169)))),
% 8.61/6.56 inference(tautology,[status(thm)],[])).
% 8.61/6.56 tff(25551,plain,
% 8.61/6.56 (v166(constB169)),
% 8.61/6.56 inference(unit_resolution,[status(thm)],[25550, 25549, 25509])).
% 8.61/6.56 tff(25552,plain,
% 8.61/6.56 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB169)) | (v163(constB169) <=> v170(constB169)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB169)) | (v163(constB169) <=> v170(constB169)))),
% 8.61/6.56 inference(rewrite,[status(thm)],[])).
% 8.61/6.56 tff(25553,plain,
% 8.61/6.56 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB169)) | (v163(constB169) <=> v170(constB169)))),
% 8.61/6.56 inference(quant_inst,[status(thm)],[])).
% 8.61/6.56 tff(25554,plain,
% 8.61/6.56 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB169)) | (v163(constB169) <=> v170(constB169))),
% 8.61/6.56 inference(modus_ponens,[status(thm)],[25553, 25552])).
% 8.61/6.56 tff(25555,plain,
% 8.61/6.56 ((~v166(constB169)) | (v163(constB169) <=> v170(constB169))),
% 8.61/6.56 inference(unit_resolution,[status(thm)],[25554, 9851])).
% 8.61/6.56 tff(25556,plain,
% 8.61/6.56 (v163(constB169) <=> v170(constB169)),
% 8.61/6.56 inference(unit_resolution,[status(thm)],[25555, 25551])).
% 8.61/6.56 tff(25557,plain,
% 8.61/6.56 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB169) <=> (v142(constB169) | v150(constB169)))),
% 8.61/6.56 inference(quant_inst,[status(thm)],[])).
% 8.61/6.56 tff(25558,plain,
% 8.61/6.56 (v171(constB169) <=> (v142(constB169) | v150(constB169))),
% 8.61/6.56 inference(unit_resolution,[status(thm)],[25557, 9866])).
% 8.61/6.56 tff(25559,plain,
% 8.61/6.56 ((v142(constB169) | v150(constB169)) | (~v142(constB169))),
% 8.61/6.56 inference(tautology,[status(thm)],[])).
% 8.61/6.56 tff(25560,plain,
% 8.61/6.56 (v142(constB169) | v150(constB169)),
% 8.61/6.56 inference(unit_resolution,[status(thm)],[25559, 25542])).
% 8.61/6.56 tff(25561,plain,
% 8.61/6.56 ((~(v171(constB169) <=> (v142(constB169) | v150(constB169)))) | v171(constB169) | (~(v142(constB169) | v150(constB169)))),
% 8.61/6.56 inference(tautology,[status(thm)],[])).
% 8.61/6.56 tff(25562,plain,
% 8.61/6.56 ((~(v171(constB169) <=> (v142(constB169) | v150(constB169)))) | v171(constB169)),
% 8.61/6.56 inference(unit_resolution,[status(thm)],[25561, 25560])).
% 8.61/6.56 tff(25563,plain,
% 8.61/6.56 (v171(constB169)),
% 8.61/6.56 inference(unit_resolution,[status(thm)],[25562, 25558])).
% 8.61/6.56 tff(25564,plain,
% 8.61/6.56 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB169)) | (~v171(constB169)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB169)) | (~v171(constB169)))),
% 8.61/6.56 inference(rewrite,[status(thm)],[])).
% 8.61/6.56 tff(25565,plain,
% 8.61/6.56 (((~v171(constB169)) | (~v170(constB169))) <=> ((~v170(constB169)) | (~v171(constB169)))),
% 8.61/6.56 inference(rewrite,[status(thm)],[])).
% 8.61/6.56 tff(25566,plain,
% 8.61/6.56 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB169)) | (~v170(constB169)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB169)) | (~v171(constB169))))),
% 8.61/6.56 inference(monotonicity,[status(thm)],[25565])).
% 8.61/6.56 tff(25567,plain,
% 8.61/6.56 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB169)) | (~v170(constB169)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB169)) | (~v171(constB169)))),
% 8.61/6.56 inference(transitivity,[status(thm)],[25566, 25564])).
% 8.61/6.56 tff(25568,plain,
% 8.61/6.56 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB169)) | (~v170(constB169)))),
% 8.61/6.56 inference(quant_inst,[status(thm)],[])).
% 8.61/6.56 tff(25569,plain,
% 8.61/6.56 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB169)) | (~v171(constB169))),
% 8.61/6.56 inference(modus_ponens,[status(thm)],[25568, 25567])).
% 8.61/6.56 tff(25570,plain,
% 8.61/6.56 (~v170(constB169)),
% 8.61/6.56 inference(unit_resolution,[status(thm)],[25569, 9899, 25563])).
% 8.61/6.56 tff(25571,plain,
% 8.61/6.56 ((~(v163(constB169) <=> v170(constB169))) | (~v163(constB169)) | v170(constB169)),
% 8.61/6.56 inference(tautology,[status(thm)],[])).
% 8.61/6.56 tff(25572,plain,
% 8.61/6.56 (~v163(constB169)),
% 8.61/6.56 inference(unit_resolution,[status(thm)],[25571, 25570, 25556])).
% 8.61/6.56 tff(25573,plain,
% 8.61/6.56 ((~(v161(constB169) <=> v163(constB169))) | (~v161(constB169)) | v163(constB169)),
% 8.61/6.56 inference(tautology,[status(thm)],[])).
% 8.61/6.56 tff(25574,plain,
% 8.61/6.56 (~v161(constB169)),
% 8.61/6.56 inference(unit_resolution,[status(thm)],[25573, 25572, 25507])).
% 8.61/6.56 tff(25575,plain,
% 8.61/6.56 (((~v159(constB169)) | (~v161(constB169))) | v161(constB169)),
% 8.61/6.56 inference(tautology,[status(thm)],[])).
% 8.61/6.56 tff(25576,plain,
% 8.61/6.56 ((~v159(constB169)) | (~v161(constB169))),
% 8.61/6.56 inference(unit_resolution,[status(thm)],[25575, 25574])).
% 8.61/6.56 tff(25577,plain,
% 8.61/6.56 ((~(v201(constB169) <=> (~((~v159(constB169)) | (~v161(constB169)))))) | (~v201(constB169)) | (~((~v159(constB169)) | (~v161(constB169))))),
% 8.61/6.56 inference(tautology,[status(thm)],[])).
% 8.61/6.56 tff(25578,plain,
% 8.61/6.56 (~v201(constB169)),
% 8.61/6.56 inference(unit_resolution,[status(thm)],[25577, 25576, 25505])).
% 8.61/6.56 tff(25579,plain,
% 8.61/6.56 (((~v197(constB169)) | (~v201(constB169))) | v201(constB169)),
% 8.61/6.56 inference(tautology,[status(thm)],[])).
% 8.61/6.56 tff(25580,plain,
% 8.61/6.56 ((~v197(constB169)) | (~v201(constB169))),
% 8.61/6.56 inference(unit_resolution,[status(thm)],[25579, 25578])).
% 8.61/6.56 tff(25581,plain,
% 8.61/6.56 ((~(v200(constB169) <=> (~((~v197(constB169)) | (~v201(constB169)))))) | (~v200(constB169)) | (~((~v197(constB169)) | (~v201(constB169))))),
% 8.61/6.56 inference(tautology,[status(thm)],[])).
% 8.61/6.56 tff(25582,plain,
% 8.61/6.56 (~v200(constB169)),
% 8.61/6.56 inference(unit_resolution,[status(thm)],[25581, 25580, 25503])).
% 8.61/6.56 tff(25583,plain,
% 8.61/6.56 (((~v199(constB169)) | (~v200(constB169))) | v200(constB169)),
% 8.61/6.56 inference(tautology,[status(thm)],[])).
% 8.61/6.56 tff(25584,plain,
% 8.61/6.56 ((~v199(constB169)) | (~v200(constB169))),
% 8.61/6.56 inference(unit_resolution,[status(thm)],[25583, 25582])).
% 8.61/6.56 tff(25585,plain,
% 8.61/6.56 ((~(v198(constB169) <=> (~((~v199(constB169)) | (~v200(constB169)))))) | (~v198(constB169)) | (~((~v199(constB169)) | (~v200(constB169))))),
% 8.61/6.56 inference(tautology,[status(thm)],[])).
% 8.61/6.56 tff(25586,plain,
% 8.61/6.56 (~v198(constB169)),
% 8.61/6.56 inference(unit_resolution,[status(thm)],[25585, 25584, 25501])).
% 8.61/6.56 tff(25587,plain,
% 8.61/6.56 ((~(v194(constB169) | v198(constB169))) | v194(constB169) | v198(constB169)),
% 8.61/6.56 inference(tautology,[status(thm)],[])).
% 8.61/6.56 tff(25588,plain,
% 8.61/6.56 (~(v194(constB169) | v198(constB169))),
% 8.61/6.56 inference(unit_resolution,[status(thm)],[25587, 25586, 25499])).
% 8.61/6.56 tff(25589,plain,
% 8.61/6.56 ((~(v191(constB169) <=> (v194(constB169) | v198(constB169)))) | (~v191(constB169)) | (v194(constB169) | v198(constB169))),
% 8.61/6.56 inference(tautology,[status(thm)],[])).
% 8.61/6.56 tff(25590,plain,
% 8.61/6.56 (~v191(constB169)),
% 8.61/6.56 inference(unit_resolution,[status(thm)],[25589, 25588, 25426])).
% 8.61/6.56 tff(25591,plain,
% 8.61/6.56 ((~(v193(constB170) <=> v191(constB169))) | (~v193(constB170)) | v191(constB169)),
% 8.61/6.56 inference(tautology,[status(thm)],[])).
% 8.61/6.56 tff(25592,plain,
% 8.61/6.56 (~v193(constB170)),
% 8.61/6.56 inference(unit_resolution,[status(thm)],[25591, 25590, 25424])).
% 8.61/6.56 tff(25593,plain,
% 8.61/6.56 ((~(v157(constB170) <=> v193(constB170))) | (~v157(constB170)) | v193(constB170)),
% 8.61/6.56 inference(tautology,[status(thm)],[])).
% 8.61/6.56 tff(25594,plain,
% 8.61/6.56 (~v157(constB170)),
% 8.61/6.56 inference(unit_resolution,[status(thm)],[25593, 25592, 25420])).
% 8.61/6.56 tff(25595,plain,
% 8.61/6.56 (((~v157(constB170)) | (~v195(constB170))) | v157(constB170)),
% 8.61/6.56 inference(tautology,[status(thm)],[])).
% 8.61/6.56 tff(25596,plain,
% 8.61/6.56 ((~v157(constB170)) | (~v195(constB170))),
% 8.61/6.56 inference(unit_resolution,[status(thm)],[25595, 25594])).
% 8.61/6.56 tff(25597,plain,
% 8.61/6.56 ((~(v194(constB170) <=> (~((~v157(constB170)) | (~v195(constB170)))))) | (~v194(constB170)) | (~((~v157(constB170)) | (~v195(constB170))))),
% 8.61/6.56 inference(tautology,[status(thm)],[])).
% 8.61/6.56 tff(25598,plain,
% 8.61/6.56 (~v194(constB170)),
% 8.61/6.56 inference(unit_resolution,[status(thm)],[25597, 25596, 25418])).
% 8.61/6.56 tff(25599,plain,
% 8.61/6.56 ((~(v194(constB170) | v198(constB170))) | v194(constB170) | v198(constB170)),
% 8.61/6.56 inference(tautology,[status(thm)],[])).
% 8.61/6.56 tff(25600,plain,
% 8.61/6.56 (~(v194(constB170) | v198(constB170))),
% 8.61/6.56 inference(unit_resolution,[status(thm)],[25599, 25598, 25411])).
% 8.61/6.56 tff(25601,plain,
% 8.61/6.56 ((~(v191(constB170) <=> (v194(constB170) | v198(constB170)))) | (~v191(constB170)) | (v194(constB170) | v198(constB170))),
% 8.61/6.56 inference(tautology,[status(thm)],[])).
% 8.61/6.56 tff(25602,plain,
% 8.61/6.56 (~v191(constB170)),
% 8.61/6.56 inference(unit_resolution,[status(thm)],[25601, 25600, 25386])).
% 8.61/6.56 tff(25603,plain,
% 8.61/6.56 ((~(v193(constB171) <=> v191(constB170))) | (~v193(constB171)) | v191(constB170)),
% 8.61/6.56 inference(tautology,[status(thm)],[])).
% 8.61/6.56 tff(25604,plain,
% 8.61/6.56 (~v193(constB171)),
% 8.61/6.56 inference(unit_resolution,[status(thm)],[25603, 25602, 25384])).
% 8.61/6.56 tff(25605,plain,
% 8.61/6.56 ($false),
% 8.61/6.56 inference(unit_resolution,[status(thm)],[25604, 25380])).
% 8.61/6.56 tff(25606,plain,(~(constB171 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.61/6.56 tff(25607,assumption,(constB49 = VarCurr!0), introduced(assumption)).
% 8.61/6.56 tff(25608,plain,
% 8.61/6.56 (v86(constB49) <=> v86(VarCurr!0)),
% 8.61/6.56 inference(monotonicity,[status(thm)],[25607])).
% 8.61/6.56 tff(25609,plain,
% 8.61/6.56 (v86(VarCurr!0) <=> v86(constB49)),
% 8.61/6.56 inference(symmetry,[status(thm)],[25608])).
% 8.61/6.56 tff(25610,plain,
% 8.61/6.56 ((~v86(VarCurr!0)) <=> (~v86(constB49))),
% 8.61/6.56 inference(monotonicity,[status(thm)],[25609])).
% 8.61/6.56 tff(25611,plain,
% 8.61/6.56 (~v86(constB49)),
% 8.61/6.56 inference(modus_ponens,[status(thm)],[14736, 25610])).
% 8.61/6.56 tff(25612,plain,
% 8.61/6.56 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB49) <=> (v136(constB49) | v145(constB49)))),
% 8.61/6.56 inference(quant_inst,[status(thm)],[])).
% 8.61/6.56 tff(25613,plain,
% 8.61/6.56 (v135(constB49) <=> (v136(constB49) | v145(constB49))),
% 8.61/6.56 inference(unit_resolution,[status(thm)],[25612, 14744])).
% 8.61/6.56 tff(25614,plain,
% 8.61/6.56 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB49) <=> (v137(constB49) | v142(constB49)))),
% 8.61/6.56 inference(quant_inst,[status(thm)],[])).
% 8.61/6.56 tff(25615,plain,
% 8.61/6.56 (v136(constB49) <=> (v137(constB49) | v142(constB49))),
% 8.61/6.56 inference(unit_resolution,[status(thm)],[25614, 14753])).
% 8.61/6.56 tff(25616,plain,
% 8.61/6.56 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB49) <=> (v143(constB49) | v144(constB49)))),
% 8.61/6.56 inference(quant_inst,[status(thm)],[])).
% 8.61/6.56 tff(25617,plain,
% 8.61/6.56 (v142(constB49) <=> (v143(constB49) | v144(constB49))),
% 8.61/6.56 inference(unit_resolution,[status(thm)],[25616, 10332])).
% 8.61/6.56 tff(25618,plain,
% 8.61/6.56 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB49) <=> (~((~v88(constB49, bitIndex1)) | v88(constB49, bitIndex2) | v88(constB49, bitIndex0))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB49) <=> (~((~v88(constB49, bitIndex1)) | v88(constB49, bitIndex2) | v88(constB49, bitIndex0)))))),
% 8.61/6.56 inference(rewrite,[status(thm)],[])).
% 8.61/6.56 tff(25619,plain,
% 8.61/6.56 ((v143(constB49) <=> (~(v88(constB49, bitIndex0) | v88(constB49, bitIndex2) | (~v88(constB49, bitIndex1))))) <=> (v143(constB49) <=> (~((~v88(constB49, bitIndex1)) | v88(constB49, bitIndex2) | v88(constB49, bitIndex0))))),
% 8.61/6.56 inference(rewrite,[status(thm)],[])).
% 8.61/6.56 tff(25620,plain,
% 8.61/6.56 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB49) <=> (~(v88(constB49, bitIndex0) | v88(constB49, bitIndex2) | (~v88(constB49, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB49) <=> (~((~v88(constB49, bitIndex1)) | v88(constB49, bitIndex2) | v88(constB49, bitIndex0)))))),
% 8.61/6.56 inference(monotonicity,[status(thm)],[25619])).
% 8.61/6.56 tff(25621,plain,
% 8.61/6.56 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB49) <=> (~(v88(constB49, bitIndex0) | v88(constB49, bitIndex2) | (~v88(constB49, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB49) <=> (~((~v88(constB49, bitIndex1)) | v88(constB49, bitIndex2) | v88(constB49, bitIndex0)))))),
% 8.61/6.56 inference(transitivity,[status(thm)],[25620, 25618])).
% 8.61/6.56 tff(25622,plain,
% 8.61/6.56 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB49) <=> (~(v88(constB49, bitIndex0) | v88(constB49, bitIndex2) | (~v88(constB49, bitIndex1)))))),
% 8.61/6.56 inference(quant_inst,[status(thm)],[])).
% 8.61/6.56 tff(25623,plain,
% 8.61/6.56 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB49) <=> (~((~v88(constB49, bitIndex1)) | v88(constB49, bitIndex2) | v88(constB49, bitIndex0))))),
% 8.61/6.56 inference(modus_ponens,[status(thm)],[25622, 25621])).
% 8.61/6.56 tff(25624,plain,
% 8.61/6.56 (v143(constB49) <=> (~((~v88(constB49, bitIndex1)) | v88(constB49, bitIndex2) | v88(constB49, bitIndex0)))),
% 8.61/6.56 inference(unit_resolution,[status(thm)],[25623, 14770])).
% 8.61/6.56 tff(25625,plain,
% 8.61/6.56 ((~![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))) | (~(((~v88(constB49, bitIndex1)) <=> v90(constB49, bitIndex1)) | ((~v88(constB49, bitIndex2)) <=> v90(constB49, bitIndex2)) | ((~v88(constB49, bitIndex0)) <=> v90(constB49, bitIndex0))))),
% 8.61/6.56 inference(quant_inst,[status(thm)],[])).
% 8.61/6.56 tff(25626,plain,
% 8.61/6.56 (~(((~v88(constB49, bitIndex1)) <=> v90(constB49, bitIndex1)) | ((~v88(constB49, bitIndex2)) <=> v90(constB49, bitIndex2)) | ((~v88(constB49, bitIndex0)) <=> v90(constB49, bitIndex0)))),
% 8.61/6.56 inference(unit_resolution,[status(thm)],[25625, 428])).
% 8.61/6.56 tff(25627,plain,
% 8.61/6.56 ((((~v88(constB49, bitIndex1)) <=> v90(constB49, bitIndex1)) | ((~v88(constB49, bitIndex2)) <=> v90(constB49, bitIndex2)) | ((~v88(constB49, bitIndex0)) <=> v90(constB49, bitIndex0))) | (~((~v88(constB49, bitIndex2)) <=> v90(constB49, bitIndex2)))),
% 8.61/6.56 inference(tautology,[status(thm)],[])).
% 8.61/6.56 tff(25628,plain,
% 8.61/6.56 (~((~v88(constB49, bitIndex2)) <=> v90(constB49, bitIndex2))),
% 8.61/6.56 inference(unit_resolution,[status(thm)],[25627, 25626])).
% 8.61/6.56 tff(25629,plain,
% 8.61/6.56 (((~v88(constB49, bitIndex2)) <=> v90(constB49, bitIndex2)) | (~v88(constB49, bitIndex2)) | v90(constB49, bitIndex2)),
% 8.61/6.56 inference(tautology,[status(thm)],[])).
% 8.61/6.56 tff(25630,plain,
% 8.61/6.56 (~v88(constB49, bitIndex2)),
% 8.61/6.56 inference(unit_resolution,[status(thm)],[25629, 7226, 25628])).
% 8.61/6.56 tff(25631,plain,
% 8.61/6.56 ((((~v88(constB49, bitIndex1)) <=> v90(constB49, bitIndex1)) | ((~v88(constB49, bitIndex2)) <=> v90(constB49, bitIndex2)) | ((~v88(constB49, bitIndex0)) <=> v90(constB49, bitIndex0))) | (~((~v88(constB49, bitIndex0)) <=> v90(constB49, bitIndex0)))),
% 8.61/6.56 inference(tautology,[status(thm)],[])).
% 8.61/6.56 tff(25632,plain,
% 8.61/6.56 (~((~v88(constB49, bitIndex0)) <=> v90(constB49, bitIndex0))),
% 8.61/6.56 inference(unit_resolution,[status(thm)],[25631, 25626])).
% 8.61/6.56 tff(25633,plain,
% 8.61/6.56 (((~v88(constB49, bitIndex0)) <=> v90(constB49, bitIndex0)) | (~v88(constB49, bitIndex0)) | v90(constB49, bitIndex0)),
% 8.61/6.56 inference(tautology,[status(thm)],[])).
% 8.61/6.56 tff(25634,plain,
% 8.61/6.56 (~v88(constB49, bitIndex0)),
% 8.61/6.56 inference(unit_resolution,[status(thm)],[25633, 7244, 25632])).
% 8.61/6.56 tff(25635,plain,
% 8.61/6.56 ((((~v88(constB49, bitIndex1)) <=> v90(constB49, bitIndex1)) | ((~v88(constB49, bitIndex2)) <=> v90(constB49, bitIndex2)) | ((~v88(constB49, bitIndex0)) <=> v90(constB49, bitIndex0))) | (~((~v88(constB49, bitIndex1)) <=> v90(constB49, bitIndex1)))),
% 8.61/6.56 inference(tautology,[status(thm)],[])).
% 8.61/6.56 tff(25636,plain,
% 8.61/6.56 (~((~v88(constB49, bitIndex1)) <=> v90(constB49, bitIndex1))),
% 8.61/6.56 inference(unit_resolution,[status(thm)],[25635, 25626])).
% 8.61/6.56 tff(25637,plain,
% 8.61/6.56 (((~v88(constB49, bitIndex1)) <=> v90(constB49, bitIndex1)) | v88(constB49, bitIndex1) | (~v90(constB49, bitIndex1))),
% 8.61/6.56 inference(tautology,[status(thm)],[])).
% 8.61/6.56 tff(25638,plain,
% 8.61/6.56 (v88(constB49, bitIndex1)),
% 8.61/6.56 inference(unit_resolution,[status(thm)],[25637, 7262, 25636])).
% 8.61/6.56 tff(25639,plain,
% 8.61/6.56 ((~((~v88(constB49, bitIndex1)) | v88(constB49, bitIndex2) | v88(constB49, bitIndex0))) | (~v88(constB49, bitIndex1)) | v88(constB49, bitIndex2) | v88(constB49, bitIndex0)),
% 8.61/6.56 inference(tautology,[status(thm)],[])).
% 8.61/6.56 tff(25640,plain,
% 8.61/6.56 (~((~v88(constB49, bitIndex1)) | v88(constB49, bitIndex2) | v88(constB49, bitIndex0))),
% 8.61/6.56 inference(unit_resolution,[status(thm)],[25639, 25638, 25634, 25630])).
% 8.61/6.56 tff(25641,plain,
% 8.61/6.56 ((~(v143(constB49) <=> (~((~v88(constB49, bitIndex1)) | v88(constB49, bitIndex2) | v88(constB49, bitIndex0))))) | v143(constB49) | ((~v88(constB49, bitIndex1)) | v88(constB49, bitIndex2) | v88(constB49, bitIndex0))),
% 8.61/6.56 inference(tautology,[status(thm)],[])).
% 8.61/6.56 tff(25642,plain,
% 8.61/6.56 (v143(constB49)),
% 8.61/6.56 inference(unit_resolution,[status(thm)],[25641, 25640, 25624])).
% 8.61/6.56 tff(25643,plain,
% 8.61/6.56 ((v143(constB49) | v144(constB49)) | (~v143(constB49))),
% 8.61/6.56 inference(tautology,[status(thm)],[])).
% 8.61/6.56 tff(25644,plain,
% 8.61/6.56 (v143(constB49) | v144(constB49)),
% 8.61/6.56 inference(unit_resolution,[status(thm)],[25643, 25642])).
% 8.61/6.56 tff(25645,plain,
% 8.61/6.56 ((~(v142(constB49) <=> (v143(constB49) | v144(constB49)))) | v142(constB49) | (~(v143(constB49) | v144(constB49)))),
% 8.61/6.56 inference(tautology,[status(thm)],[])).
% 8.61/6.56 tff(25646,plain,
% 8.61/6.56 (v142(constB49)),
% 8.61/6.56 inference(unit_resolution,[status(thm)],[25645, 25644, 25617])).
% 8.61/6.56 tff(25647,plain,
% 8.61/6.56 ((v137(constB49) | v142(constB49)) | (~v142(constB49))),
% 8.61/6.56 inference(tautology,[status(thm)],[])).
% 8.61/6.56 tff(25648,plain,
% 8.61/6.56 (v137(constB49) | v142(constB49)),
% 8.61/6.56 inference(unit_resolution,[status(thm)],[25647, 25646])).
% 8.61/6.56 tff(25649,plain,
% 8.61/6.56 ((~(v136(constB49) <=> (v137(constB49) | v142(constB49)))) | v136(constB49) | (~(v137(constB49) | v142(constB49)))),
% 8.61/6.56 inference(tautology,[status(thm)],[])).
% 8.61/6.56 tff(25650,plain,
% 8.61/6.56 ((~(v136(constB49) <=> (v137(constB49) | v142(constB49)))) | v136(constB49)),
% 8.61/6.56 inference(unit_resolution,[status(thm)],[25649, 25648])).
% 8.61/6.56 tff(25651,plain,
% 8.61/6.56 (v136(constB49)),
% 8.61/6.56 inference(unit_resolution,[status(thm)],[25650, 25615])).
% 8.61/6.56 tff(25652,plain,
% 8.61/6.56 ((v136(constB49) | v145(constB49)) | (~v136(constB49))),
% 8.61/6.56 inference(tautology,[status(thm)],[])).
% 8.61/6.56 tff(25653,plain,
% 8.61/6.56 (v136(constB49) | v145(constB49)),
% 8.61/6.56 inference(unit_resolution,[status(thm)],[25652, 25651])).
% 8.61/6.56 tff(25654,plain,
% 8.61/6.56 ((~(v135(constB49) <=> (v136(constB49) | v145(constB49)))) | v135(constB49) | (~(v136(constB49) | v145(constB49)))),
% 8.61/6.56 inference(tautology,[status(thm)],[])).
% 8.61/6.56 tff(25655,plain,
% 8.61/6.56 (v135(constB49)),
% 8.61/6.56 inference(unit_resolution,[status(thm)],[25654, 25653, 25613])).
% 8.61/6.56 tff(25656,plain,
% 8.61/6.56 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB49)) | (v86(constB49) <=> v148(constB49)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB49)) | (v86(constB49) <=> v148(constB49)))),
% 8.61/6.56 inference(rewrite,[status(thm)],[])).
% 8.61/6.56 tff(25657,plain,
% 8.61/6.56 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB49)) | (v86(constB49) <=> v148(constB49)))),
% 8.61/6.56 inference(quant_inst,[status(thm)],[])).
% 8.61/6.56 tff(25658,plain,
% 8.61/6.56 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB49)) | (v86(constB49) <=> v148(constB49))),
% 8.61/6.56 inference(modus_ponens,[status(thm)],[25657, 25656])).
% 8.61/6.56 tff(25659,plain,
% 8.61/6.56 (v86(constB49) <=> v148(constB49)),
% 8.61/6.56 inference(unit_resolution,[status(thm)],[25658, 14818, 25655])).
% 8.61/6.56 tff(25660,plain,
% 8.61/6.56 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB49) | (~v142(constB49)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB49) | (~v142(constB49)))),
% 8.61/6.56 inference(rewrite,[status(thm)],[])).
% 8.61/6.56 tff(25661,plain,
% 8.61/6.56 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB49) | (~v142(constB49)))),
% 8.61/6.56 inference(quant_inst,[status(thm)],[])).
% 8.61/6.56 tff(25662,plain,
% 8.61/6.56 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB49) | (~v142(constB49))),
% 8.61/6.56 inference(modus_ponens,[status(thm)],[25661, 25660])).
% 8.61/6.56 tff(25663,plain,
% 8.61/6.56 (v148(constB49)),
% 8.61/6.56 inference(unit_resolution,[status(thm)],[25662, 14832, 25646])).
% 8.61/6.56 tff(25664,plain,
% 8.61/6.56 ((~(v86(constB49) <=> v148(constB49))) | v86(constB49) | (~v148(constB49))),
% 8.61/6.56 inference(tautology,[status(thm)],[])).
% 8.61/6.56 tff(25665,plain,
% 8.61/6.56 ((~(v86(constB49) <=> v148(constB49))) | v86(constB49)),
% 8.61/6.56 inference(unit_resolution,[status(thm)],[25664, 25663])).
% 8.61/6.56 tff(25666,plain,
% 8.61/6.56 (v86(constB49)),
% 8.61/6.56 inference(unit_resolution,[status(thm)],[25665, 25659])).
% 8.61/6.56 tff(25667,plain,
% 8.61/6.56 ($false),
% 8.61/6.56 inference(unit_resolution,[status(thm)],[25666, 25611])).
% 8.61/6.56 tff(25668,plain,(~(constB49 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.61/6.56 tff(25669,assumption,(constB43 = VarCurr!0), introduced(assumption)).
% 8.61/6.56 tff(25670,plain,
% 8.61/6.56 (v193(constB43) <=> v193(VarCurr!0)),
% 8.61/6.56 inference(monotonicity,[status(thm)],[25669])).
% 8.61/6.56 tff(25671,plain,
% 8.61/6.56 (v193(VarCurr!0) <=> v193(constB43)),
% 8.61/6.56 inference(symmetry,[status(thm)],[25670])).
% 8.61/6.56 tff(25672,plain,
% 8.61/6.56 (v193(constB43)),
% 8.61/6.56 inference(modus_ponens,[status(thm)],[59, 25671])).
% 8.61/6.56 tff(25673,plain,
% 8.61/6.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB42, constB43)) | (v193(constB43) <=> v191(constB42)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB42, constB43)) | (v193(constB43) <=> v191(constB42)))),
% 8.61/6.56 inference(rewrite,[status(thm)],[])).
% 8.61/6.56 tff(25674,plain,
% 8.61/6.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB42, constB43)) | (v193(constB43) <=> v191(constB42)))),
% 8.61/6.56 inference(quant_inst,[status(thm)],[])).
% 8.61/6.56 tff(25675,plain,
% 8.61/6.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB42, constB43)) | (v193(constB43) <=> v191(constB42))),
% 8.61/6.56 inference(modus_ponens,[status(thm)],[25674, 25673])).
% 8.61/6.56 tff(25676,plain,
% 8.61/6.56 (v193(constB43) <=> v191(constB42)),
% 8.61/6.56 inference(unit_resolution,[status(thm)],[25675, 1796, 70])).
% 8.61/6.56 tff(25677,plain,
% 8.61/6.56 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB42) <=> (v194(constB42) | v198(constB42)))),
% 8.61/6.56 inference(quant_inst,[status(thm)],[])).
% 8.61/6.56 tff(25678,plain,
% 8.61/6.56 (v191(constB42) <=> (v194(constB42) | v198(constB42))),
% 8.61/6.56 inference(unit_resolution,[status(thm)],[25677, 84])).
% 8.61/6.56 tff(25679,plain,
% 8.61/6.56 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB42) <=> (~((~v199(constB42)) | (~v200(constB42)))))),
% 8.61/6.56 inference(quant_inst,[status(thm)],[])).
% 8.61/6.56 tff(25680,plain,
% 8.61/6.56 (v198(constB42) <=> (~((~v199(constB42)) | (~v200(constB42))))),
% 8.61/6.56 inference(unit_resolution,[status(thm)],[25679, 96])).
% 8.61/6.56 tff(25681,plain,
% 8.61/6.56 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB42) <=> (~((~v197(constB42)) | (~v201(constB42)))))),
% 8.61/6.56 inference(quant_inst,[status(thm)],[])).
% 8.61/6.56 tff(25682,plain,
% 8.61/6.56 (v200(constB42) <=> (~((~v197(constB42)) | (~v201(constB42))))),
% 8.61/6.56 inference(unit_resolution,[status(thm)],[25681, 108])).
% 8.61/6.56 tff(25683,plain,
% 8.61/6.56 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB42) <=> (~((~v39(constB42)) | (~v9(constB42)))))),
% 8.61/6.56 inference(quant_inst,[status(thm)],[])).
% 8.61/6.56 tff(25684,plain,
% 8.61/6.56 (v197(constB42) <=> (~((~v39(constB42)) | (~v9(constB42))))),
% 8.61/6.56 inference(unit_resolution,[status(thm)],[25683, 120])).
% 8.61/6.56 tff(25685,plain,
% 8.61/6.56 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB42)) <=> v1(constB42))),
% 8.61/6.56 inference(quant_inst,[status(thm)],[])).
% 8.61/6.56 tff(25686,plain,
% 8.61/6.56 ((~v39(constB42)) <=> v1(constB42)),
% 8.61/6.56 inference(unit_resolution,[status(thm)],[25685, 129])).
% 8.61/6.56 tff(25687,plain,
% 8.61/6.56 ((~((~v39(constB42)) <=> v1(constB42))) | (~v39(constB42)) | (~v1(constB42))),
% 8.61/6.56 inference(tautology,[status(thm)],[])).
% 8.61/6.56 tff(25688,plain,
% 8.61/6.56 ((~((~v39(constB42)) <=> v1(constB42))) | (~v39(constB42))),
% 8.61/6.56 inference(unit_resolution,[status(thm)],[25687, 6661])).
% 8.61/6.56 tff(25689,plain,
% 8.61/6.56 (~v39(constB42)),
% 8.61/6.56 inference(unit_resolution,[status(thm)],[25688, 25686])).
% 8.61/6.56 tff(25690,plain,
% 8.61/6.56 (((~v39(constB42)) | (~v9(constB42))) | v39(constB42)),
% 8.61/6.56 inference(tautology,[status(thm)],[])).
% 8.61/6.56 tff(25691,plain,
% 8.61/6.56 ((~v39(constB42)) | (~v9(constB42))),
% 8.61/6.56 inference(unit_resolution,[status(thm)],[25690, 25689])).
% 8.61/6.56 tff(25692,plain,
% 8.61/6.56 ((~(v197(constB42) <=> (~((~v39(constB42)) | (~v9(constB42)))))) | (~v197(constB42)) | (~((~v39(constB42)) | (~v9(constB42))))),
% 8.61/6.56 inference(tautology,[status(thm)],[])).
% 8.61/6.56 tff(25693,plain,
% 8.61/6.56 ((~(v197(constB42) <=> (~((~v39(constB42)) | (~v9(constB42)))))) | (~v197(constB42))),
% 8.61/6.56 inference(unit_resolution,[status(thm)],[25692, 25691])).
% 8.61/6.56 tff(25694,plain,
% 8.61/6.56 (~v197(constB42)),
% 8.61/6.56 inference(unit_resolution,[status(thm)],[25693, 25684])).
% 8.61/6.56 tff(25695,plain,
% 8.61/6.56 (((~v197(constB42)) | (~v201(constB42))) | v197(constB42)),
% 8.61/6.56 inference(tautology,[status(thm)],[])).
% 8.61/6.56 tff(25696,plain,
% 8.61/6.56 ((~v197(constB42)) | (~v201(constB42))),
% 8.61/6.56 inference(unit_resolution,[status(thm)],[25695, 25694])).
% 8.61/6.56 tff(25697,plain,
% 8.61/6.56 ((~(v200(constB42) <=> (~((~v197(constB42)) | (~v201(constB42)))))) | (~v200(constB42)) | (~((~v197(constB42)) | (~v201(constB42))))),
% 8.61/6.56 inference(tautology,[status(thm)],[])).
% 8.61/6.56 tff(25698,plain,
% 8.61/6.56 ((~(v200(constB42) <=> (~((~v197(constB42)) | (~v201(constB42)))))) | (~v200(constB42))),
% 8.61/6.56 inference(unit_resolution,[status(thm)],[25697, 25696])).
% 8.61/6.56 tff(25699,plain,
% 8.61/6.56 (~v200(constB42)),
% 8.61/6.56 inference(unit_resolution,[status(thm)],[25698, 25682])).
% 8.61/6.56 tff(25700,plain,
% 8.61/6.56 (((~v199(constB42)) | (~v200(constB42))) | v200(constB42)),
% 8.61/6.56 inference(tautology,[status(thm)],[])).
% 8.61/6.56 tff(25701,plain,
% 8.61/6.56 ((~v199(constB42)) | (~v200(constB42))),
% 8.61/6.56 inference(unit_resolution,[status(thm)],[25700, 25699])).
% 8.61/6.56 tff(25702,plain,
% 8.61/6.56 ((~(v198(constB42) <=> (~((~v199(constB42)) | (~v200(constB42)))))) | (~v198(constB42)) | (~((~v199(constB42)) | (~v200(constB42))))),
% 8.61/6.56 inference(tautology,[status(thm)],[])).
% 8.61/6.56 tff(25703,plain,
% 8.61/6.56 (~v198(constB42)),
% 8.61/6.56 inference(unit_resolution,[status(thm)],[25702, 25701, 25680])).
% 8.61/6.56 tff(25704,plain,
% 8.61/6.56 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB42) <=> (~((~v157(constB42)) | (~v195(constB42)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB42) <=> (~((~v157(constB42)) | (~v195(constB42))))))),
% 8.61/6.56 inference(rewrite,[status(thm)],[])).
% 8.61/6.56 tff(25705,plain,
% 8.61/6.56 ((v194(constB42) <=> (~((~v195(constB42)) | (~v157(constB42))))) <=> (v194(constB42) <=> (~((~v157(constB42)) | (~v195(constB42)))))),
% 8.61/6.56 inference(rewrite,[status(thm)],[])).
% 8.61/6.56 tff(25706,plain,
% 8.61/6.56 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB42) <=> (~((~v195(constB42)) | (~v157(constB42)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB42) <=> (~((~v157(constB42)) | (~v195(constB42))))))),
% 8.61/6.56 inference(monotonicity,[status(thm)],[25705])).
% 8.61/6.56 tff(25707,plain,
% 8.61/6.56 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB42) <=> (~((~v195(constB42)) | (~v157(constB42)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB42) <=> (~((~v157(constB42)) | (~v195(constB42))))))),
% 8.61/6.56 inference(transitivity,[status(thm)],[25706, 25704])).
% 8.61/6.56 tff(25708,plain,
% 8.61/6.56 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB42) <=> (~((~v195(constB42)) | (~v157(constB42)))))),
% 8.61/6.56 inference(quant_inst,[status(thm)],[])).
% 8.61/6.56 tff(25709,plain,
% 8.61/6.56 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB42) <=> (~((~v157(constB42)) | (~v195(constB42)))))),
% 8.61/6.56 inference(modus_ponens,[status(thm)],[25708, 25707])).
% 8.61/6.56 tff(25710,plain,
% 8.61/6.56 (v194(constB42) <=> (~((~v157(constB42)) | (~v195(constB42))))),
% 8.61/6.56 inference(unit_resolution,[status(thm)],[25709, 161])).
% 8.61/6.56 tff(25711,plain,
% 8.61/6.56 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB42) <=> v193(constB42))),
% 8.61/6.56 inference(quant_inst,[status(thm)],[])).
% 8.61/6.56 tff(25712,plain,
% 8.61/6.56 (v157(constB42) <=> v193(constB42)),
% 8.61/6.56 inference(unit_resolution,[status(thm)],[25711, 13])).
% 8.61/6.56 tff(25713,plain,
% 8.61/6.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB41, constB42)) | (v193(constB42) <=> v191(constB41)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB41, constB42)) | (v193(constB42) <=> v191(constB41)))),
% 8.61/6.56 inference(rewrite,[status(thm)],[])).
% 8.61/6.56 tff(25714,plain,
% 8.61/6.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB41, constB42)) | (v193(constB42) <=> v191(constB41)))),
% 8.61/6.56 inference(quant_inst,[status(thm)],[])).
% 8.61/6.56 tff(25715,plain,
% 8.61/6.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB41, constB42)) | (v193(constB42) <=> v191(constB41))),
% 8.61/6.56 inference(modus_ponens,[status(thm)],[25714, 25713])).
% 8.61/6.56 tff(25716,plain,
% 8.61/6.56 (v193(constB42) <=> v191(constB41)),
% 8.61/6.56 inference(unit_resolution,[status(thm)],[25715, 1832, 70])).
% 8.61/6.56 tff(25717,plain,
% 8.61/6.56 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB41) <=> (v194(constB41) | v198(constB41)))),
% 8.61/6.56 inference(quant_inst,[status(thm)],[])).
% 8.61/6.56 tff(25718,plain,
% 8.61/6.56 (v191(constB41) <=> (v194(constB41) | v198(constB41))),
% 8.61/6.56 inference(unit_resolution,[status(thm)],[25717, 84])).
% 8.61/6.56 tff(25719,plain,
% 8.61/6.56 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB41) <=> (~((~v157(constB41)) | (~v195(constB41)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB41) <=> (~((~v157(constB41)) | (~v195(constB41))))))),
% 8.61/6.56 inference(rewrite,[status(thm)],[])).
% 8.61/6.56 tff(25720,plain,
% 8.61/6.56 ((v194(constB41) <=> (~((~v195(constB41)) | (~v157(constB41))))) <=> (v194(constB41) <=> (~((~v157(constB41)) | (~v195(constB41)))))),
% 8.61/6.56 inference(rewrite,[status(thm)],[])).
% 8.61/6.56 tff(25721,plain,
% 8.61/6.56 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB41) <=> (~((~v195(constB41)) | (~v157(constB41)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB41) <=> (~((~v157(constB41)) | (~v195(constB41))))))),
% 8.61/6.56 inference(monotonicity,[status(thm)],[25720])).
% 8.61/6.56 tff(25722,plain,
% 8.61/6.56 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB41) <=> (~((~v195(constB41)) | (~v157(constB41)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB41) <=> (~((~v157(constB41)) | (~v195(constB41))))))),
% 8.61/6.56 inference(transitivity,[status(thm)],[25721, 25719])).
% 8.61/6.56 tff(25723,plain,
% 8.61/6.56 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB41) <=> (~((~v195(constB41)) | (~v157(constB41)))))),
% 8.61/6.56 inference(quant_inst,[status(thm)],[])).
% 8.61/6.56 tff(25724,plain,
% 8.61/6.56 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB41) <=> (~((~v157(constB41)) | (~v195(constB41)))))),
% 8.61/6.56 inference(modus_ponens,[status(thm)],[25723, 25722])).
% 8.61/6.56 tff(25725,plain,
% 8.61/6.56 (v194(constB41) <=> (~((~v157(constB41)) | (~v195(constB41))))),
% 8.61/6.56 inference(unit_resolution,[status(thm)],[25724, 161])).
% 8.61/6.56 tff(25726,plain,
% 8.61/6.56 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB41)) <=> v196(constB41))),
% 8.61/6.56 inference(quant_inst,[status(thm)],[])).
% 8.61/6.56 tff(25727,plain,
% 8.61/6.56 ((~v195(constB41)) <=> v196(constB41)),
% 8.61/6.56 inference(unit_resolution,[status(thm)],[25726, 193])).
% 8.61/6.56 tff(25728,plain,
% 8.61/6.56 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB41) <=> (v197(constB41) | v26(constB41)))),
% 8.61/6.56 inference(quant_inst,[status(thm)],[])).
% 8.61/6.56 tff(25729,plain,
% 8.61/6.56 (v196(constB41) <=> (v197(constB41) | v26(constB41))),
% 8.61/6.56 inference(unit_resolution,[status(thm)],[25728, 202])).
% 8.61/6.56 tff(25730,plain,
% 8.61/6.56 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB41) <=> (~((~v39(constB41)) | (~v9(constB41)))))),
% 8.61/6.56 inference(quant_inst,[status(thm)],[])).
% 8.61/6.56 tff(25731,plain,
% 8.61/6.56 (v197(constB41) <=> (~((~v39(constB41)) | (~v9(constB41))))),
% 8.61/6.56 inference(unit_resolution,[status(thm)],[25730, 120])).
% 8.61/6.56 tff(25732,plain,
% 8.61/6.56 (((~![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)))),
% 8.61/6.57 inference(rewrite,[status(thm)],[])).
% 8.61/6.57 tff(25733,plain,
% 8.61/6.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB41, constB42)) | (v13(constB42) <=> v9(constB41)))),
% 8.61/6.57 inference(quant_inst,[status(thm)],[])).
% 8.61/6.57 tff(25734,plain,
% 8.61/6.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB41, constB42)) | (v13(constB42) <=> v9(constB41))),
% 8.61/6.57 inference(modus_ponens,[status(thm)],[25733, 25732])).
% 8.61/6.57 tff(25735,plain,
% 8.61/6.57 (v13(constB42) <=> v9(constB41)),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25734, 1832, 216])).
% 8.61/6.57 tff(25736,plain,
% 8.61/6.57 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB42) <=> v13(constB42))),
% 8.61/6.57 inference(quant_inst,[status(thm)],[])).
% 8.61/6.57 tff(25737,plain,
% 8.61/6.57 (v6(constB42) <=> v13(constB42)),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25736, 230])).
% 8.61/6.57 tff(25738,plain,
% 8.61/6.57 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB42)) <=> v6(constB42))),
% 8.61/6.57 inference(quant_inst,[status(thm)],[])).
% 8.61/6.57 tff(25739,plain,
% 8.61/6.57 ((~v21(constB42)) <=> v6(constB42)),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25738, 239])).
% 8.61/6.57 tff(25740,plain,
% 8.61/6.57 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB42) <=> (v20(constB42) | v21(constB42)))),
% 8.61/6.57 inference(quant_inst,[status(thm)],[])).
% 8.61/6.57 tff(25741,plain,
% 8.61/6.57 (v19(constB42) <=> (v20(constB42) | v21(constB42))),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25740, 248])).
% 8.61/6.57 tff(25742,plain,
% 8.61/6.57 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB42) <=> (~((~v19(constB42)) | (~v22(constB42)))))),
% 8.61/6.57 inference(quant_inst,[status(thm)],[])).
% 8.61/6.57 tff(25743,plain,
% 8.61/6.57 (v18(constB42) <=> (~((~v19(constB42)) | (~v22(constB42))))),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25742, 260])).
% 8.61/6.57 tff(25744,plain,
% 8.61/6.57 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB42)) <=> v18(constB42))),
% 8.61/6.57 inference(quant_inst,[status(thm)],[])).
% 8.61/6.57 tff(25745,plain,
% 8.61/6.57 ((~v4(constB42)) <=> v18(constB42)),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25744, 269])).
% 8.61/6.57 tff(25746,plain,
% 8.61/6.57 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB42)),
% 8.61/6.57 inference(quant_inst,[status(thm)],[])).
% 8.61/6.57 tff(25747,plain,
% 8.61/6.57 (v4(constB42)),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25746, 278])).
% 8.61/6.57 tff(25748,plain,
% 8.61/6.57 ((~((~v4(constB42)) <=> v18(constB42))) | (~v4(constB42)) | (~v18(constB42))),
% 8.61/6.57 inference(tautology,[status(thm)],[])).
% 8.61/6.57 tff(25749,plain,
% 8.61/6.57 (~v18(constB42)),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25748, 25747, 25745])).
% 8.61/6.57 tff(25750,plain,
% 8.61/6.57 ((~(v18(constB42) <=> (~((~v19(constB42)) | (~v22(constB42)))))) | v18(constB42) | ((~v19(constB42)) | (~v22(constB42)))),
% 8.61/6.57 inference(tautology,[status(thm)],[])).
% 8.61/6.57 tff(25751,plain,
% 8.61/6.57 ((~v19(constB42)) | (~v22(constB42))),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25750, 25749, 25743])).
% 8.61/6.57 tff(25752,plain,
% 8.61/6.57 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB42) <=> (v1(constB42) | v6(constB42)))),
% 8.61/6.57 inference(quant_inst,[status(thm)],[])).
% 8.61/6.57 tff(25753,plain,
% 8.61/6.57 (v22(constB42) <=> (v1(constB42) | v6(constB42))),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25752, 291])).
% 8.61/6.57 tff(25754,plain,
% 8.61/6.57 ((v1(constB42) | v6(constB42)) | (~v1(constB42))),
% 8.61/6.57 inference(tautology,[status(thm)],[])).
% 8.61/6.57 tff(25755,plain,
% 8.61/6.57 (v1(constB42) | v6(constB42)),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25754, 6661])).
% 8.61/6.57 tff(25756,plain,
% 8.61/6.57 ((~(v22(constB42) <=> (v1(constB42) | v6(constB42)))) | v22(constB42) | (~(v1(constB42) | v6(constB42)))),
% 8.61/6.57 inference(tautology,[status(thm)],[])).
% 8.61/6.57 tff(25757,plain,
% 8.61/6.57 ((~(v22(constB42) <=> (v1(constB42) | v6(constB42)))) | v22(constB42)),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25756, 25755])).
% 8.61/6.57 tff(25758,plain,
% 8.61/6.57 (v22(constB42)),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25757, 25753])).
% 8.61/6.57 tff(25759,plain,
% 8.61/6.57 ((~((~v19(constB42)) | (~v22(constB42)))) | (~v19(constB42)) | (~v22(constB42))),
% 8.61/6.57 inference(tautology,[status(thm)],[])).
% 8.61/6.57 tff(25760,plain,
% 8.61/6.57 ((~((~v19(constB42)) | (~v22(constB42)))) | (~v19(constB42))),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25759, 25758])).
% 8.61/6.57 tff(25761,plain,
% 8.61/6.57 (~v19(constB42)),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25760, 25751])).
% 8.61/6.57 tff(25762,plain,
% 8.61/6.57 ((~(v19(constB42) <=> (v20(constB42) | v21(constB42)))) | v19(constB42) | (~(v20(constB42) | v21(constB42)))),
% 8.61/6.57 inference(tautology,[status(thm)],[])).
% 8.61/6.57 tff(25763,plain,
% 8.61/6.57 (~(v20(constB42) | v21(constB42))),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25762, 25761, 25741])).
% 8.61/6.57 tff(25764,plain,
% 8.61/6.57 ((v20(constB42) | v21(constB42)) | (~v21(constB42))),
% 8.61/6.57 inference(tautology,[status(thm)],[])).
% 8.61/6.57 tff(25765,plain,
% 8.61/6.57 (~v21(constB42)),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25764, 25763])).
% 8.61/6.57 tff(25766,plain,
% 8.61/6.57 ((~((~v21(constB42)) <=> v6(constB42))) | v21(constB42) | v6(constB42)),
% 8.61/6.57 inference(tautology,[status(thm)],[])).
% 8.61/6.57 tff(25767,plain,
% 8.61/6.57 (v6(constB42)),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25766, 25765, 25739])).
% 8.61/6.57 tff(25768,plain,
% 8.61/6.57 ((~(v6(constB42) <=> v13(constB42))) | (~v6(constB42)) | v13(constB42)),
% 8.61/6.57 inference(tautology,[status(thm)],[])).
% 8.61/6.57 tff(25769,plain,
% 8.61/6.57 (v13(constB42)),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25768, 25767, 25737])).
% 8.61/6.57 tff(25770,plain,
% 8.61/6.57 ((~(v13(constB42) <=> v9(constB41))) | (~v13(constB42)) | v9(constB41)),
% 8.61/6.57 inference(tautology,[status(thm)],[])).
% 8.61/6.57 tff(25771,plain,
% 8.61/6.57 (v9(constB41)),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25770, 25769, 25735])).
% 8.61/6.57 tff(25772,plain,
% 8.61/6.57 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB41)) <=> v1(constB41))),
% 8.61/6.57 inference(quant_inst,[status(thm)],[])).
% 8.61/6.57 tff(25773,plain,
% 8.61/6.57 ((~v39(constB41)) <=> v1(constB41)),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25772, 129])).
% 8.61/6.57 tff(25774,plain,
% 8.61/6.57 ((~((~v39(constB41)) <=> v1(constB41))) | v39(constB41) | v1(constB41)),
% 8.61/6.57 inference(tautology,[status(thm)],[])).
% 8.61/6.57 tff(25775,plain,
% 8.61/6.57 ((~((~v39(constB41)) <=> v1(constB41))) | v39(constB41)),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25774, 1876])).
% 8.61/6.57 tff(25776,plain,
% 8.61/6.57 (v39(constB41)),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25775, 25773])).
% 8.61/6.57 tff(25777,plain,
% 8.61/6.57 ((~((~v39(constB41)) | (~v9(constB41)))) | (~v39(constB41)) | (~v9(constB41))),
% 8.61/6.57 inference(tautology,[status(thm)],[])).
% 8.61/6.57 tff(25778,plain,
% 8.61/6.57 ((~((~v39(constB41)) | (~v9(constB41)))) | (~v9(constB41))),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25777, 25776])).
% 8.61/6.57 tff(25779,plain,
% 8.61/6.57 (~((~v39(constB41)) | (~v9(constB41)))),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25778, 25771])).
% 8.61/6.57 tff(25780,plain,
% 8.61/6.57 ((~(v197(constB41) <=> (~((~v39(constB41)) | (~v9(constB41)))))) | v197(constB41) | ((~v39(constB41)) | (~v9(constB41)))),
% 8.61/6.57 inference(tautology,[status(thm)],[])).
% 8.61/6.57 tff(25781,plain,
% 8.61/6.57 (v197(constB41)),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25780, 25779, 25731])).
% 8.61/6.57 tff(25782,plain,
% 8.61/6.57 ((v197(constB41) | v26(constB41)) | (~v197(constB41))),
% 8.61/6.57 inference(tautology,[status(thm)],[])).
% 8.61/6.57 tff(25783,plain,
% 8.61/6.57 (v197(constB41) | v26(constB41)),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25782, 25781])).
% 8.61/6.57 tff(25784,plain,
% 8.61/6.57 ((~(v196(constB41) <=> (v197(constB41) | v26(constB41)))) | v196(constB41) | (~(v197(constB41) | v26(constB41)))),
% 8.61/6.57 inference(tautology,[status(thm)],[])).
% 8.61/6.57 tff(25785,plain,
% 8.61/6.57 (v196(constB41)),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25784, 25783, 25729])).
% 8.61/6.57 tff(25786,plain,
% 8.61/6.57 ((~((~v195(constB41)) <=> v196(constB41))) | (~v195(constB41)) | (~v196(constB41))),
% 8.61/6.57 inference(tautology,[status(thm)],[])).
% 8.61/6.57 tff(25787,plain,
% 8.61/6.57 (~v195(constB41)),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25786, 25785, 25727])).
% 8.61/6.57 tff(25788,plain,
% 8.61/6.57 (((~v157(constB41)) | (~v195(constB41))) | v195(constB41)),
% 8.61/6.57 inference(tautology,[status(thm)],[])).
% 8.61/6.57 tff(25789,plain,
% 8.61/6.57 ((~v157(constB41)) | (~v195(constB41))),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25788, 25787])).
% 8.61/6.57 tff(25790,plain,
% 8.61/6.57 ((~(v194(constB41) <=> (~((~v157(constB41)) | (~v195(constB41)))))) | (~v194(constB41)) | (~((~v157(constB41)) | (~v195(constB41))))),
% 8.61/6.57 inference(tautology,[status(thm)],[])).
% 8.61/6.57 tff(25791,plain,
% 8.61/6.57 (~v194(constB41)),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25790, 25789, 25725])).
% 8.61/6.57 tff(25792,plain,
% 8.61/6.57 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB41) <=> (~((~v199(constB41)) | (~v200(constB41)))))),
% 8.61/6.57 inference(quant_inst,[status(thm)],[])).
% 8.61/6.57 tff(25793,plain,
% 8.61/6.57 (v198(constB41) <=> (~((~v199(constB41)) | (~v200(constB41))))),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25792, 96])).
% 8.61/6.57 tff(25794,plain,
% 8.61/6.57 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB41) <=> (~((~v197(constB41)) | (~v201(constB41)))))),
% 8.61/6.57 inference(quant_inst,[status(thm)],[])).
% 8.61/6.57 tff(25795,plain,
% 8.61/6.57 (v200(constB41) <=> (~((~v197(constB41)) | (~v201(constB41))))),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25794, 108])).
% 8.61/6.57 tff(25796,plain,
% 8.61/6.57 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB41) <=> (~((~v159(constB41)) | (~v161(constB41)))))),
% 8.61/6.57 inference(quant_inst,[status(thm)],[])).
% 8.61/6.57 tff(25797,plain,
% 8.61/6.57 (v201(constB41) <=> (~((~v159(constB41)) | (~v161(constB41))))),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25796, 348])).
% 8.61/6.57 tff(25798,plain,
% 8.61/6.57 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB41) <=> v163(constB41))),
% 8.61/6.57 inference(quant_inst,[status(thm)],[])).
% 8.61/6.57 tff(25799,plain,
% 8.61/6.57 (v161(constB41) <=> v163(constB41)),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25798, 357])).
% 8.61/6.57 tff(25800,plain,
% 8.61/6.57 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB41) <=> (v145(constB41) | v167(constB41)))),
% 8.61/6.57 inference(quant_inst,[status(thm)],[])).
% 8.61/6.57 tff(25801,plain,
% 8.61/6.57 (v166(constB41) <=> (v145(constB41) | v167(constB41))),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25800, 369])).
% 8.61/6.57 tff(25802,plain,
% 8.61/6.57 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB41) <=> (v142(constB41) | v168(constB41)))),
% 8.61/6.57 inference(quant_inst,[status(thm)],[])).
% 8.61/6.57 tff(25803,plain,
% 8.61/6.57 (v167(constB41) <=> (v142(constB41) | v168(constB41))),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25802, 381])).
% 8.61/6.57 tff(25804,plain,
% 8.61/6.57 ((~![VarCurr: $i] : (v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr)))) | (v168(constB41) <=> (v141(constB41) | v169(constB41)))),
% 8.61/6.57 inference(quant_inst,[status(thm)],[])).
% 8.61/6.57 tff(25805,plain,
% 8.61/6.57 (v168(constB41) <=> (v141(constB41) | v169(constB41))),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25804, 393])).
% 8.61/6.57 tff(25806,plain,
% 8.61/6.57 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB41) <=> (~((~v88(constB41, bitIndex1)) | v88(constB41, bitIndex2) | (~v88(constB41, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB41) <=> (~((~v88(constB41, bitIndex1)) | v88(constB41, bitIndex2) | (~v88(constB41, bitIndex0))))))),
% 8.61/6.57 inference(rewrite,[status(thm)],[])).
% 8.61/6.57 tff(25807,plain,
% 8.61/6.57 ((v141(constB41) <=> (~(v88(constB41, bitIndex2) | (~v88(constB41, bitIndex1)) | (~v88(constB41, bitIndex0))))) <=> (v141(constB41) <=> (~((~v88(constB41, bitIndex1)) | v88(constB41, bitIndex2) | (~v88(constB41, bitIndex0)))))),
% 8.61/6.57 inference(rewrite,[status(thm)],[])).
% 8.61/6.57 tff(25808,plain,
% 8.61/6.57 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB41) <=> (~(v88(constB41, bitIndex2) | (~v88(constB41, bitIndex1)) | (~v88(constB41, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB41) <=> (~((~v88(constB41, bitIndex1)) | v88(constB41, bitIndex2) | (~v88(constB41, bitIndex0))))))),
% 8.61/6.57 inference(monotonicity,[status(thm)],[25807])).
% 8.61/6.57 tff(25809,plain,
% 8.61/6.57 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB41) <=> (~(v88(constB41, bitIndex2) | (~v88(constB41, bitIndex1)) | (~v88(constB41, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB41) <=> (~((~v88(constB41, bitIndex1)) | v88(constB41, bitIndex2) | (~v88(constB41, bitIndex0))))))),
% 8.61/6.57 inference(transitivity,[status(thm)],[25808, 25806])).
% 8.61/6.57 tff(25810,plain,
% 8.61/6.57 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB41) <=> (~(v88(constB41, bitIndex2) | (~v88(constB41, bitIndex1)) | (~v88(constB41, bitIndex0)))))),
% 8.61/6.57 inference(quant_inst,[status(thm)],[])).
% 8.61/6.57 tff(25811,plain,
% 8.61/6.57 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB41) <=> (~((~v88(constB41, bitIndex1)) | v88(constB41, bitIndex2) | (~v88(constB41, bitIndex0)))))),
% 8.61/6.57 inference(modus_ponens,[status(thm)],[25810, 25809])).
% 8.61/6.57 tff(25812,plain,
% 8.61/6.57 (v141(constB41) <=> (~((~v88(constB41, bitIndex1)) | v88(constB41, bitIndex2) | (~v88(constB41, bitIndex0))))),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25811, 408])).
% 8.61/6.57 tff(25813,plain,
% 8.61/6.57 ((~![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))) | (~(((~v88(constB41, bitIndex1)) <=> v90(constB41, bitIndex1)) | ((~v88(constB41, bitIndex2)) <=> v90(constB41, bitIndex2)) | ((~v88(constB41, bitIndex0)) <=> v90(constB41, bitIndex0))))),
% 8.61/6.57 inference(quant_inst,[status(thm)],[])).
% 8.61/6.57 tff(25814,plain,
% 8.61/6.57 (~(((~v88(constB41, bitIndex1)) <=> v90(constB41, bitIndex1)) | ((~v88(constB41, bitIndex2)) <=> v90(constB41, bitIndex2)) | ((~v88(constB41, bitIndex0)) <=> v90(constB41, bitIndex0)))),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25813, 428])).
% 8.61/6.57 tff(25815,plain,
% 8.61/6.57 ((((~v88(constB41, bitIndex1)) <=> v90(constB41, bitIndex1)) | ((~v88(constB41, bitIndex2)) <=> v90(constB41, bitIndex2)) | ((~v88(constB41, bitIndex0)) <=> v90(constB41, bitIndex0))) | (~((~v88(constB41, bitIndex2)) <=> v90(constB41, bitIndex2)))),
% 8.61/6.57 inference(tautology,[status(thm)],[])).
% 8.61/6.57 tff(25816,plain,
% 8.61/6.57 (~((~v88(constB41, bitIndex2)) <=> v90(constB41, bitIndex2))),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25815, 25814])).
% 8.61/6.57 tff(25817,plain,
% 8.61/6.57 (((~v88(constB41, bitIndex2)) <=> v90(constB41, bitIndex2)) | (~v88(constB41, bitIndex2)) | v90(constB41, bitIndex2)),
% 8.61/6.57 inference(tautology,[status(thm)],[])).
% 8.61/6.57 tff(25818,plain,
% 8.61/6.57 (~v88(constB41, bitIndex2)),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25817, 6580, 25816])).
% 8.61/6.57 tff(25819,plain,
% 8.61/6.57 ((((~v88(constB41, bitIndex1)) <=> v90(constB41, bitIndex1)) | ((~v88(constB41, bitIndex2)) <=> v90(constB41, bitIndex2)) | ((~v88(constB41, bitIndex0)) <=> v90(constB41, bitIndex0))) | (~((~v88(constB41, bitIndex0)) <=> v90(constB41, bitIndex0)))),
% 8.61/6.57 inference(tautology,[status(thm)],[])).
% 8.61/6.57 tff(25820,plain,
% 8.61/6.57 (~((~v88(constB41, bitIndex0)) <=> v90(constB41, bitIndex0))),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25819, 25814])).
% 8.61/6.57 tff(25821,plain,
% 8.61/6.57 (((~v88(constB41, bitIndex0)) <=> v90(constB41, bitIndex0)) | v88(constB41, bitIndex0) | (~v90(constB41, bitIndex0))),
% 8.61/6.57 inference(tautology,[status(thm)],[])).
% 8.61/6.57 tff(25822,plain,
% 8.61/6.57 (v88(constB41, bitIndex0)),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25821, 6598, 25820])).
% 8.61/6.57 tff(25823,plain,
% 8.61/6.57 ((((~v88(constB41, bitIndex1)) <=> v90(constB41, bitIndex1)) | ((~v88(constB41, bitIndex2)) <=> v90(constB41, bitIndex2)) | ((~v88(constB41, bitIndex0)) <=> v90(constB41, bitIndex0))) | (~((~v88(constB41, bitIndex1)) <=> v90(constB41, bitIndex1)))),
% 8.61/6.57 inference(tautology,[status(thm)],[])).
% 8.61/6.57 tff(25824,plain,
% 8.61/6.57 (~((~v88(constB41, bitIndex1)) <=> v90(constB41, bitIndex1))),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25823, 25814])).
% 8.61/6.57 tff(25825,plain,
% 8.61/6.57 (((~v88(constB41, bitIndex1)) <=> v90(constB41, bitIndex1)) | v88(constB41, bitIndex1) | (~v90(constB41, bitIndex1))),
% 8.61/6.57 inference(tautology,[status(thm)],[])).
% 8.61/6.57 tff(25826,plain,
% 8.61/6.57 (v88(constB41, bitIndex1)),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25825, 6616, 25824])).
% 8.61/6.57 tff(25827,plain,
% 8.61/6.57 ((~((~v88(constB41, bitIndex1)) | v88(constB41, bitIndex2) | (~v88(constB41, bitIndex0)))) | (~v88(constB41, bitIndex1)) | v88(constB41, bitIndex2) | (~v88(constB41, bitIndex0))),
% 8.61/6.57 inference(tautology,[status(thm)],[])).
% 8.61/6.57 tff(25828,plain,
% 8.61/6.57 (~((~v88(constB41, bitIndex1)) | v88(constB41, bitIndex2) | (~v88(constB41, bitIndex0)))),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25827, 25826, 25822, 25818])).
% 8.61/6.57 tff(25829,plain,
% 8.61/6.57 ((~(v141(constB41) <=> (~((~v88(constB41, bitIndex1)) | v88(constB41, bitIndex2) | (~v88(constB41, bitIndex0)))))) | v141(constB41) | ((~v88(constB41, bitIndex1)) | v88(constB41, bitIndex2) | (~v88(constB41, bitIndex0)))),
% 8.61/6.57 inference(tautology,[status(thm)],[])).
% 8.61/6.57 tff(25830,plain,
% 8.61/6.57 (v141(constB41)),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25829, 25828, 25812])).
% 8.61/6.57 tff(25831,plain,
% 8.61/6.57 ((v141(constB41) | v169(constB41)) | (~v141(constB41))),
% 8.61/6.57 inference(tautology,[status(thm)],[])).
% 8.61/6.57 tff(25832,plain,
% 8.61/6.57 (v141(constB41) | v169(constB41)),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25831, 25830])).
% 8.61/6.57 tff(25833,plain,
% 8.61/6.57 ((~(v168(constB41) <=> (v141(constB41) | v169(constB41)))) | v168(constB41) | (~(v141(constB41) | v169(constB41)))),
% 8.61/6.57 inference(tautology,[status(thm)],[])).
% 8.61/6.57 tff(25834,plain,
% 8.61/6.57 (v168(constB41)),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25833, 25832, 25805])).
% 8.61/6.57 tff(25835,plain,
% 8.61/6.57 ((v142(constB41) | v168(constB41)) | (~v168(constB41))),
% 8.61/6.57 inference(tautology,[status(thm)],[])).
% 8.61/6.57 tff(25836,plain,
% 8.61/6.57 (v142(constB41) | v168(constB41)),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25835, 25834])).
% 8.61/6.57 tff(25837,plain,
% 8.61/6.57 ((~(v167(constB41) <=> (v142(constB41) | v168(constB41)))) | v167(constB41) | (~(v142(constB41) | v168(constB41)))),
% 8.61/6.57 inference(tautology,[status(thm)],[])).
% 8.61/6.57 tff(25838,plain,
% 8.61/6.57 ((~(v167(constB41) <=> (v142(constB41) | v168(constB41)))) | v167(constB41)),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25837, 25836])).
% 8.61/6.57 tff(25839,plain,
% 8.61/6.57 (v167(constB41)),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25838, 25803])).
% 8.61/6.57 tff(25840,plain,
% 8.61/6.57 ((v145(constB41) | v167(constB41)) | (~v167(constB41))),
% 8.61/6.57 inference(tautology,[status(thm)],[])).
% 8.61/6.57 tff(25841,plain,
% 8.61/6.57 (v145(constB41) | v167(constB41)),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25840, 25839])).
% 8.61/6.57 tff(25842,plain,
% 8.61/6.57 ((~(v166(constB41) <=> (v145(constB41) | v167(constB41)))) | v166(constB41) | (~(v145(constB41) | v167(constB41)))),
% 8.61/6.57 inference(tautology,[status(thm)],[])).
% 8.61/6.57 tff(25843,plain,
% 8.61/6.57 (v166(constB41)),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25842, 25841, 25801])).
% 8.61/6.57 tff(25844,plain,
% 8.61/6.57 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB41)) | (v163(constB41) <=> v170(constB41)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB41)) | (v163(constB41) <=> v170(constB41)))),
% 8.61/6.57 inference(rewrite,[status(thm)],[])).
% 8.61/6.57 tff(25845,plain,
% 8.61/6.57 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB41)) | (v163(constB41) <=> v170(constB41)))),
% 8.61/6.57 inference(quant_inst,[status(thm)],[])).
% 8.61/6.57 tff(25846,plain,
% 8.61/6.57 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB41)) | (v163(constB41) <=> v170(constB41))),
% 8.61/6.57 inference(modus_ponens,[status(thm)],[25845, 25844])).
% 8.61/6.57 tff(25847,plain,
% 8.61/6.57 ((~v166(constB41)) | (v163(constB41) <=> v170(constB41))),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25846, 9851])).
% 8.61/6.57 tff(25848,plain,
% 8.61/6.57 (v163(constB41) <=> v170(constB41)),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25847, 25843])).
% 8.61/6.57 tff(25849,plain,
% 8.61/6.57 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB41) <=> (v142(constB41) | v150(constB41)))),
% 8.61/6.57 inference(quant_inst,[status(thm)],[])).
% 8.61/6.57 tff(25850,plain,
% 8.61/6.57 (v171(constB41) <=> (v142(constB41) | v150(constB41))),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25849, 9866])).
% 8.61/6.57 tff(25851,plain,
% 8.61/6.57 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v141(VarCurr) | v151(VarCurr)))) | (v150(constB41) <=> (v141(constB41) | v151(constB41)))),
% 8.61/6.57 inference(quant_inst,[status(thm)],[])).
% 8.61/6.57 tff(25852,plain,
% 8.61/6.57 (v150(constB41) <=> (v141(constB41) | v151(constB41))),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25851, 9878])).
% 8.61/6.57 tff(25853,plain,
% 8.61/6.57 ((v141(constB41) | v151(constB41)) | (~v141(constB41))),
% 8.61/6.57 inference(tautology,[status(thm)],[])).
% 8.61/6.57 tff(25854,plain,
% 8.61/6.57 (v141(constB41) | v151(constB41)),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25853, 25830])).
% 8.61/6.57 tff(25855,plain,
% 8.61/6.57 ((~(v150(constB41) <=> (v141(constB41) | v151(constB41)))) | v150(constB41) | (~(v141(constB41) | v151(constB41)))),
% 8.61/6.57 inference(tautology,[status(thm)],[])).
% 8.61/6.57 tff(25856,plain,
% 8.61/6.57 (v150(constB41)),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25855, 25854, 25852])).
% 8.61/6.57 tff(25857,plain,
% 8.61/6.57 ((v142(constB41) | v150(constB41)) | (~v150(constB41))),
% 8.61/6.57 inference(tautology,[status(thm)],[])).
% 8.61/6.57 tff(25858,plain,
% 8.61/6.57 (v142(constB41) | v150(constB41)),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25857, 25856])).
% 8.61/6.57 tff(25859,plain,
% 8.61/6.57 ((~(v171(constB41) <=> (v142(constB41) | v150(constB41)))) | v171(constB41) | (~(v142(constB41) | v150(constB41)))),
% 8.61/6.57 inference(tautology,[status(thm)],[])).
% 8.61/6.57 tff(25860,plain,
% 8.61/6.57 ((~(v171(constB41) <=> (v142(constB41) | v150(constB41)))) | v171(constB41)),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25859, 25858])).
% 8.61/6.57 tff(25861,plain,
% 8.61/6.57 (v171(constB41)),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25860, 25850])).
% 8.61/6.57 tff(25862,plain,
% 8.61/6.57 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB41)) | (~v171(constB41)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB41)) | (~v171(constB41)))),
% 8.61/6.57 inference(rewrite,[status(thm)],[])).
% 8.61/6.57 tff(25863,plain,
% 8.61/6.57 (((~v171(constB41)) | (~v170(constB41))) <=> ((~v170(constB41)) | (~v171(constB41)))),
% 8.61/6.57 inference(rewrite,[status(thm)],[])).
% 8.61/6.57 tff(25864,plain,
% 8.61/6.57 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB41)) | (~v170(constB41)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB41)) | (~v171(constB41))))),
% 8.61/6.57 inference(monotonicity,[status(thm)],[25863])).
% 8.61/6.57 tff(25865,plain,
% 8.61/6.57 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB41)) | (~v170(constB41)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB41)) | (~v171(constB41)))),
% 8.61/6.57 inference(transitivity,[status(thm)],[25864, 25862])).
% 8.61/6.57 tff(25866,plain,
% 8.61/6.57 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB41)) | (~v170(constB41)))),
% 8.61/6.57 inference(quant_inst,[status(thm)],[])).
% 8.61/6.57 tff(25867,plain,
% 8.61/6.57 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB41)) | (~v171(constB41))),
% 8.61/6.57 inference(modus_ponens,[status(thm)],[25866, 25865])).
% 8.61/6.57 tff(25868,plain,
% 8.61/6.57 (~v170(constB41)),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25867, 9899, 25861])).
% 8.61/6.57 tff(25869,plain,
% 8.61/6.57 ((~(v163(constB41) <=> v170(constB41))) | (~v163(constB41)) | v170(constB41)),
% 8.61/6.57 inference(tautology,[status(thm)],[])).
% 8.61/6.57 tff(25870,plain,
% 8.61/6.57 (~v163(constB41)),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25869, 25868, 25848])).
% 8.61/6.57 tff(25871,plain,
% 8.61/6.57 ((~(v161(constB41) <=> v163(constB41))) | (~v161(constB41)) | v163(constB41)),
% 8.61/6.57 inference(tautology,[status(thm)],[])).
% 8.61/6.57 tff(25872,plain,
% 8.61/6.57 (~v161(constB41)),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25871, 25870, 25799])).
% 8.61/6.57 tff(25873,plain,
% 8.61/6.57 (((~v159(constB41)) | (~v161(constB41))) | v161(constB41)),
% 8.61/6.57 inference(tautology,[status(thm)],[])).
% 8.61/6.57 tff(25874,plain,
% 8.61/6.57 ((~v159(constB41)) | (~v161(constB41))),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25873, 25872])).
% 8.61/6.57 tff(25875,plain,
% 8.61/6.57 ((~(v201(constB41) <=> (~((~v159(constB41)) | (~v161(constB41)))))) | (~v201(constB41)) | (~((~v159(constB41)) | (~v161(constB41))))),
% 8.61/6.57 inference(tautology,[status(thm)],[])).
% 8.61/6.57 tff(25876,plain,
% 8.61/6.57 (~v201(constB41)),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25875, 25874, 25797])).
% 8.61/6.57 tff(25877,plain,
% 8.61/6.57 (((~v197(constB41)) | (~v201(constB41))) | v201(constB41)),
% 8.61/6.57 inference(tautology,[status(thm)],[])).
% 8.61/6.57 tff(25878,plain,
% 8.61/6.57 ((~v197(constB41)) | (~v201(constB41))),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25877, 25876])).
% 8.61/6.57 tff(25879,plain,
% 8.61/6.57 ((~(v200(constB41) <=> (~((~v197(constB41)) | (~v201(constB41)))))) | (~v200(constB41)) | (~((~v197(constB41)) | (~v201(constB41))))),
% 8.61/6.57 inference(tautology,[status(thm)],[])).
% 8.61/6.57 tff(25880,plain,
% 8.61/6.57 (~v200(constB41)),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25879, 25878, 25795])).
% 8.61/6.57 tff(25881,plain,
% 8.61/6.57 (((~v199(constB41)) | (~v200(constB41))) | v200(constB41)),
% 8.61/6.57 inference(tautology,[status(thm)],[])).
% 8.61/6.57 tff(25882,plain,
% 8.61/6.57 ((~v199(constB41)) | (~v200(constB41))),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25881, 25880])).
% 8.61/6.57 tff(25883,plain,
% 8.61/6.57 ((~(v198(constB41) <=> (~((~v199(constB41)) | (~v200(constB41)))))) | (~v198(constB41)) | (~((~v199(constB41)) | (~v200(constB41))))),
% 8.61/6.57 inference(tautology,[status(thm)],[])).
% 8.61/6.57 tff(25884,plain,
% 8.61/6.57 (~v198(constB41)),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25883, 25882, 25793])).
% 8.61/6.57 tff(25885,plain,
% 8.61/6.57 ((~(v194(constB41) | v198(constB41))) | v194(constB41) | v198(constB41)),
% 8.61/6.57 inference(tautology,[status(thm)],[])).
% 8.61/6.57 tff(25886,plain,
% 8.61/6.57 (~(v194(constB41) | v198(constB41))),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25885, 25884, 25791])).
% 8.61/6.57 tff(25887,plain,
% 8.61/6.57 ((~(v191(constB41) <=> (v194(constB41) | v198(constB41)))) | (~v191(constB41)) | (v194(constB41) | v198(constB41))),
% 8.61/6.57 inference(tautology,[status(thm)],[])).
% 8.61/6.57 tff(25888,plain,
% 8.61/6.57 (~v191(constB41)),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25887, 25886, 25718])).
% 8.61/6.57 tff(25889,plain,
% 8.61/6.57 ((~(v193(constB42) <=> v191(constB41))) | (~v193(constB42)) | v191(constB41)),
% 8.61/6.57 inference(tautology,[status(thm)],[])).
% 8.61/6.57 tff(25890,plain,
% 8.61/6.57 (~v193(constB42)),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25889, 25888, 25716])).
% 8.61/6.57 tff(25891,plain,
% 8.61/6.57 ((~(v157(constB42) <=> v193(constB42))) | (~v157(constB42)) | v193(constB42)),
% 8.61/6.57 inference(tautology,[status(thm)],[])).
% 8.61/6.57 tff(25892,plain,
% 8.61/6.57 (~v157(constB42)),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25891, 25890, 25712])).
% 8.61/6.57 tff(25893,plain,
% 8.61/6.57 (((~v157(constB42)) | (~v195(constB42))) | v157(constB42)),
% 8.61/6.57 inference(tautology,[status(thm)],[])).
% 8.61/6.57 tff(25894,plain,
% 8.61/6.57 ((~v157(constB42)) | (~v195(constB42))),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25893, 25892])).
% 8.61/6.57 tff(25895,plain,
% 8.61/6.57 ((~(v194(constB42) <=> (~((~v157(constB42)) | (~v195(constB42)))))) | (~v194(constB42)) | (~((~v157(constB42)) | (~v195(constB42))))),
% 8.61/6.57 inference(tautology,[status(thm)],[])).
% 8.61/6.57 tff(25896,plain,
% 8.61/6.57 (~v194(constB42)),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25895, 25894, 25710])).
% 8.61/6.57 tff(25897,plain,
% 8.61/6.57 ((~(v194(constB42) | v198(constB42))) | v194(constB42) | v198(constB42)),
% 8.61/6.57 inference(tautology,[status(thm)],[])).
% 8.61/6.57 tff(25898,plain,
% 8.61/6.57 (~(v194(constB42) | v198(constB42))),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25897, 25896, 25703])).
% 8.61/6.57 tff(25899,plain,
% 8.61/6.57 ((~(v191(constB42) <=> (v194(constB42) | v198(constB42)))) | (~v191(constB42)) | (v194(constB42) | v198(constB42))),
% 8.61/6.57 inference(tautology,[status(thm)],[])).
% 8.61/6.57 tff(25900,plain,
% 8.61/6.57 (~v191(constB42)),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25899, 25898, 25678])).
% 8.61/6.57 tff(25901,plain,
% 8.61/6.57 ((~(v193(constB43) <=> v191(constB42))) | (~v193(constB43)) | v191(constB42)),
% 8.61/6.57 inference(tautology,[status(thm)],[])).
% 8.61/6.57 tff(25902,plain,
% 8.61/6.57 (~v193(constB43)),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25901, 25900, 25676])).
% 8.61/6.57 tff(25903,plain,
% 8.61/6.57 ($false),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25902, 25672])).
% 8.61/6.57 tff(25904,plain,(~(constB43 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.61/6.57 tff(25905,assumption,(constB147 = VarCurr!0), introduced(assumption)).
% 8.61/6.57 tff(25906,plain,
% 8.61/6.57 (v193(constB147) <=> v193(VarCurr!0)),
% 8.61/6.57 inference(monotonicity,[status(thm)],[25905])).
% 8.61/6.57 tff(25907,plain,
% 8.61/6.57 (v193(VarCurr!0) <=> v193(constB147)),
% 8.61/6.57 inference(symmetry,[status(thm)],[25906])).
% 8.61/6.57 tff(25908,plain,
% 8.61/6.57 (v193(constB147)),
% 8.61/6.57 inference(modus_ponens,[status(thm)],[59, 25907])).
% 8.61/6.57 tff(25909,plain,
% 8.61/6.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB146, constB147)) | (v193(constB147) <=> v191(constB146)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB146, constB147)) | (v193(constB147) <=> v191(constB146)))),
% 8.61/6.57 inference(rewrite,[status(thm)],[])).
% 8.61/6.57 tff(25910,plain,
% 8.61/6.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB146, constB147)) | (v193(constB147) <=> v191(constB146)))),
% 8.61/6.57 inference(quant_inst,[status(thm)],[])).
% 8.61/6.57 tff(25911,plain,
% 8.61/6.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB146, constB147)) | (v193(constB147) <=> v191(constB146))),
% 8.61/6.57 inference(modus_ponens,[status(thm)],[25910, 25909])).
% 8.61/6.57 tff(25912,plain,
% 8.61/6.57 (v193(constB147) <=> v191(constB146)),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25911, 16540, 70])).
% 8.61/6.57 tff(25913,plain,
% 8.61/6.57 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB146) <=> (v194(constB146) | v198(constB146)))),
% 8.61/6.57 inference(quant_inst,[status(thm)],[])).
% 8.61/6.57 tff(25914,plain,
% 8.61/6.57 (v191(constB146) <=> (v194(constB146) | v198(constB146))),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25913, 84])).
% 8.61/6.57 tff(25915,plain,
% 8.61/6.57 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB146) <=> (~((~v199(constB146)) | (~v200(constB146)))))),
% 8.61/6.57 inference(quant_inst,[status(thm)],[])).
% 8.61/6.57 tff(25916,plain,
% 8.61/6.57 (v198(constB146) <=> (~((~v199(constB146)) | (~v200(constB146))))),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25915, 96])).
% 8.61/6.57 tff(25917,plain,
% 8.61/6.57 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB146) <=> (~((~v197(constB146)) | (~v201(constB146)))))),
% 8.61/6.57 inference(quant_inst,[status(thm)],[])).
% 8.61/6.57 tff(25918,plain,
% 8.61/6.57 (v200(constB146) <=> (~((~v197(constB146)) | (~v201(constB146))))),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25917, 108])).
% 8.61/6.57 tff(25919,plain,
% 8.61/6.57 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB146) <=> (~((~v39(constB146)) | (~v9(constB146)))))),
% 8.61/6.57 inference(quant_inst,[status(thm)],[])).
% 8.61/6.57 tff(25920,plain,
% 8.61/6.57 (v197(constB146) <=> (~((~v39(constB146)) | (~v9(constB146))))),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25919, 120])).
% 8.61/6.57 tff(25921,plain,
% 8.61/6.57 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB146)) <=> v1(constB146))),
% 8.61/6.57 inference(quant_inst,[status(thm)],[])).
% 8.61/6.57 tff(25922,plain,
% 8.61/6.57 ((~v39(constB146)) <=> v1(constB146)),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25921, 129])).
% 8.61/6.57 tff(25923,plain,
% 8.61/6.57 ((~((~v39(constB146)) <=> v1(constB146))) | (~v39(constB146)) | (~v1(constB146))),
% 8.61/6.57 inference(tautology,[status(thm)],[])).
% 8.61/6.57 tff(25924,plain,
% 8.61/6.57 ((~((~v39(constB146)) <=> v1(constB146))) | (~v39(constB146))),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25923, 20026])).
% 8.61/6.57 tff(25925,plain,
% 8.61/6.57 (~v39(constB146)),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25924, 25922])).
% 8.61/6.57 tff(25926,plain,
% 8.61/6.57 (((~v39(constB146)) | (~v9(constB146))) | v39(constB146)),
% 8.61/6.57 inference(tautology,[status(thm)],[])).
% 8.61/6.57 tff(25927,plain,
% 8.61/6.57 ((~v39(constB146)) | (~v9(constB146))),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25926, 25925])).
% 8.61/6.57 tff(25928,plain,
% 8.61/6.57 ((~(v197(constB146) <=> (~((~v39(constB146)) | (~v9(constB146)))))) | (~v197(constB146)) | (~((~v39(constB146)) | (~v9(constB146))))),
% 8.61/6.57 inference(tautology,[status(thm)],[])).
% 8.61/6.57 tff(25929,plain,
% 8.61/6.57 ((~(v197(constB146) <=> (~((~v39(constB146)) | (~v9(constB146)))))) | (~v197(constB146))),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25928, 25927])).
% 8.61/6.57 tff(25930,plain,
% 8.61/6.57 (~v197(constB146)),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25929, 25920])).
% 8.61/6.57 tff(25931,plain,
% 8.61/6.57 (((~v197(constB146)) | (~v201(constB146))) | v197(constB146)),
% 8.61/6.57 inference(tautology,[status(thm)],[])).
% 8.61/6.57 tff(25932,plain,
% 8.61/6.57 ((~v197(constB146)) | (~v201(constB146))),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25931, 25930])).
% 8.61/6.57 tff(25933,plain,
% 8.61/6.57 ((~(v200(constB146) <=> (~((~v197(constB146)) | (~v201(constB146)))))) | (~v200(constB146)) | (~((~v197(constB146)) | (~v201(constB146))))),
% 8.61/6.57 inference(tautology,[status(thm)],[])).
% 8.61/6.57 tff(25934,plain,
% 8.61/6.57 ((~(v200(constB146) <=> (~((~v197(constB146)) | (~v201(constB146)))))) | (~v200(constB146))),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25933, 25932])).
% 8.61/6.57 tff(25935,plain,
% 8.61/6.57 (~v200(constB146)),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25934, 25918])).
% 8.61/6.57 tff(25936,plain,
% 8.61/6.57 (((~v199(constB146)) | (~v200(constB146))) | v200(constB146)),
% 8.61/6.57 inference(tautology,[status(thm)],[])).
% 8.61/6.57 tff(25937,plain,
% 8.61/6.57 ((~v199(constB146)) | (~v200(constB146))),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25936, 25935])).
% 8.61/6.57 tff(25938,plain,
% 8.61/6.57 ((~(v198(constB146) <=> (~((~v199(constB146)) | (~v200(constB146)))))) | (~v198(constB146)) | (~((~v199(constB146)) | (~v200(constB146))))),
% 8.61/6.57 inference(tautology,[status(thm)],[])).
% 8.61/6.57 tff(25939,plain,
% 8.61/6.57 (~v198(constB146)),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25938, 25937, 25916])).
% 8.61/6.57 tff(25940,plain,
% 8.61/6.57 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB146) <=> (~((~v157(constB146)) | (~v195(constB146)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB146) <=> (~((~v157(constB146)) | (~v195(constB146))))))),
% 8.61/6.57 inference(rewrite,[status(thm)],[])).
% 8.61/6.57 tff(25941,plain,
% 8.61/6.57 ((v194(constB146) <=> (~((~v195(constB146)) | (~v157(constB146))))) <=> (v194(constB146) <=> (~((~v157(constB146)) | (~v195(constB146)))))),
% 8.61/6.57 inference(rewrite,[status(thm)],[])).
% 8.61/6.57 tff(25942,plain,
% 8.61/6.57 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB146) <=> (~((~v195(constB146)) | (~v157(constB146)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB146) <=> (~((~v157(constB146)) | (~v195(constB146))))))),
% 8.61/6.57 inference(monotonicity,[status(thm)],[25941])).
% 8.61/6.57 tff(25943,plain,
% 8.61/6.57 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB146) <=> (~((~v195(constB146)) | (~v157(constB146)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB146) <=> (~((~v157(constB146)) | (~v195(constB146))))))),
% 8.61/6.57 inference(transitivity,[status(thm)],[25942, 25940])).
% 8.61/6.57 tff(25944,plain,
% 8.61/6.57 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB146) <=> (~((~v195(constB146)) | (~v157(constB146)))))),
% 8.61/6.57 inference(quant_inst,[status(thm)],[])).
% 8.61/6.57 tff(25945,plain,
% 8.61/6.57 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB146) <=> (~((~v157(constB146)) | (~v195(constB146)))))),
% 8.61/6.57 inference(modus_ponens,[status(thm)],[25944, 25943])).
% 8.61/6.57 tff(25946,plain,
% 8.61/6.57 (v194(constB146) <=> (~((~v157(constB146)) | (~v195(constB146))))),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25945, 161])).
% 8.61/6.57 tff(25947,plain,
% 8.61/6.57 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB146) <=> v193(constB146))),
% 8.61/6.57 inference(quant_inst,[status(thm)],[])).
% 8.61/6.57 tff(25948,plain,
% 8.61/6.57 (v157(constB146) <=> v193(constB146)),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25947, 13])).
% 8.61/6.57 tff(25949,plain,
% 8.61/6.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB145, constB146)) | (v193(constB146) <=> v191(constB145)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB145, constB146)) | (v193(constB146) <=> v191(constB145)))),
% 8.61/6.57 inference(rewrite,[status(thm)],[])).
% 8.61/6.57 tff(25950,plain,
% 8.61/6.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB145, constB146)) | (v193(constB146) <=> v191(constB145)))),
% 8.61/6.57 inference(quant_inst,[status(thm)],[])).
% 8.61/6.57 tff(25951,plain,
% 8.61/6.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB145, constB146)) | (v193(constB146) <=> v191(constB145))),
% 8.61/6.57 inference(modus_ponens,[status(thm)],[25950, 25949])).
% 8.61/6.57 tff(25952,plain,
% 8.61/6.57 (v193(constB146) <=> v191(constB145)),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25951, 16576, 70])).
% 8.61/6.57 tff(25953,plain,
% 8.61/6.57 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB145) <=> (v194(constB145) | v198(constB145)))),
% 8.61/6.57 inference(quant_inst,[status(thm)],[])).
% 8.61/6.57 tff(25954,plain,
% 8.61/6.57 (v191(constB145) <=> (v194(constB145) | v198(constB145))),
% 8.61/6.57 inference(unit_resolution,[status(thm)],[25953, 84])).
% 8.61/6.57 tff(25955,plain,
% 8.61/6.57 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB145) <=> (~((~v157(constB145)) | (~v195(constB145)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB145) <=> (~((~v157(constB145)) | (~v195(constB145))))))),
% 8.61/6.57 inference(rewrite,[status(thm)],[])).
% 8.61/6.57 tff(25956,plain,
% 8.61/6.57 ((v194(constB145) <=> (~((~v195(constB145)) | (~v157(constB145))))) <=> (v194(constB145) <=> (~((~v157(constB145)) | (~v195(constB145)))))),
% 8.61/6.57 inference(rewrite,[status(thm)],[])).
% 8.61/6.57 tff(25957,plain,
% 8.61/6.57 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB145) <=> (~((~v195(constB145)) | (~v157(constB145)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB145) <=> (~((~v157(constB145)) | (~v195(constB145))))))),
% 8.61/6.57 inference(monotonicity,[status(thm)],[25956])).
% 8.61/6.57 tff(25958,plain,
% 8.61/6.57 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB145) <=> (~((~v195(constB145)) | (~v157(constB145)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB145) <=> (~((~v157(constB145)) | (~v195(constB145))))))),
% 8.61/6.58 inference(transitivity,[status(thm)],[25957, 25955])).
% 8.61/6.58 tff(25959,plain,
% 8.61/6.58 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB145) <=> (~((~v195(constB145)) | (~v157(constB145)))))),
% 8.61/6.58 inference(quant_inst,[status(thm)],[])).
% 8.61/6.58 tff(25960,plain,
% 8.61/6.58 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB145) <=> (~((~v157(constB145)) | (~v195(constB145)))))),
% 8.61/6.58 inference(modus_ponens,[status(thm)],[25959, 25958])).
% 8.61/6.58 tff(25961,plain,
% 8.61/6.58 (v194(constB145) <=> (~((~v157(constB145)) | (~v195(constB145))))),
% 8.61/6.58 inference(unit_resolution,[status(thm)],[25960, 161])).
% 8.61/6.58 tff(25962,plain,
% 8.61/6.58 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB145)) <=> v196(constB145))),
% 8.61/6.58 inference(quant_inst,[status(thm)],[])).
% 8.61/6.58 tff(25963,plain,
% 8.61/6.58 ((~v195(constB145)) <=> v196(constB145)),
% 8.61/6.58 inference(unit_resolution,[status(thm)],[25962, 193])).
% 8.61/6.58 tff(25964,plain,
% 8.61/6.58 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB145) <=> (v197(constB145) | v26(constB145)))),
% 8.61/6.58 inference(quant_inst,[status(thm)],[])).
% 8.61/6.58 tff(25965,plain,
% 8.61/6.58 (v196(constB145) <=> (v197(constB145) | v26(constB145))),
% 8.61/6.58 inference(unit_resolution,[status(thm)],[25964, 202])).
% 8.61/6.58 tff(25966,plain,
% 8.61/6.58 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB145) <=> (~((~v39(constB145)) | (~v9(constB145)))))),
% 8.61/6.58 inference(quant_inst,[status(thm)],[])).
% 8.61/6.58 tff(25967,plain,
% 8.61/6.58 (v197(constB145) <=> (~((~v39(constB145)) | (~v9(constB145))))),
% 8.61/6.58 inference(unit_resolution,[status(thm)],[25966, 120])).
% 8.61/6.58 tff(25968,plain,
% 8.61/6.58 (((~![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)))),
% 8.61/6.58 inference(rewrite,[status(thm)],[])).
% 8.61/6.58 tff(25969,plain,
% 8.61/6.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB145, constB146)) | (v13(constB146) <=> v9(constB145)))),
% 8.61/6.58 inference(quant_inst,[status(thm)],[])).
% 8.61/6.58 tff(25970,plain,
% 8.61/6.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB145, constB146)) | (v13(constB146) <=> v9(constB145))),
% 8.61/6.58 inference(modus_ponens,[status(thm)],[25969, 25968])).
% 8.61/6.58 tff(25971,plain,
% 8.61/6.58 (v13(constB146) <=> v9(constB145)),
% 8.61/6.58 inference(unit_resolution,[status(thm)],[25970, 16576, 216])).
% 8.61/6.58 tff(25972,plain,
% 8.61/6.58 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB146) <=> v13(constB146))),
% 8.61/6.58 inference(quant_inst,[status(thm)],[])).
% 8.61/6.58 tff(25973,plain,
% 8.61/6.58 (v6(constB146) <=> v13(constB146)),
% 8.61/6.58 inference(unit_resolution,[status(thm)],[25972, 230])).
% 8.61/6.58 tff(25974,plain,
% 8.61/6.58 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB146)) <=> v6(constB146))),
% 8.61/6.58 inference(quant_inst,[status(thm)],[])).
% 8.61/6.58 tff(25975,plain,
% 8.61/6.58 ((~v21(constB146)) <=> v6(constB146)),
% 8.61/6.58 inference(unit_resolution,[status(thm)],[25974, 239])).
% 8.61/6.58 tff(25976,plain,
% 8.61/6.58 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB146) <=> (v20(constB146) | v21(constB146)))),
% 8.61/6.58 inference(quant_inst,[status(thm)],[])).
% 8.61/6.58 tff(25977,plain,
% 8.61/6.58 (v19(constB146) <=> (v20(constB146) | v21(constB146))),
% 8.61/6.58 inference(unit_resolution,[status(thm)],[25976, 248])).
% 8.61/6.58 tff(25978,plain,
% 8.61/6.58 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB146) <=> (~((~v19(constB146)) | (~v22(constB146)))))),
% 8.61/6.58 inference(quant_inst,[status(thm)],[])).
% 8.61/6.58 tff(25979,plain,
% 8.61/6.58 (v18(constB146) <=> (~((~v19(constB146)) | (~v22(constB146))))),
% 8.61/6.58 inference(unit_resolution,[status(thm)],[25978, 260])).
% 8.61/6.58 tff(25980,plain,
% 8.61/6.58 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB146)) <=> v18(constB146))),
% 8.61/6.58 inference(quant_inst,[status(thm)],[])).
% 8.61/6.58 tff(25981,plain,
% 8.61/6.58 ((~v4(constB146)) <=> v18(constB146)),
% 8.61/6.58 inference(unit_resolution,[status(thm)],[25980, 269])).
% 8.61/6.58 tff(25982,plain,
% 8.61/6.58 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB146)),
% 8.61/6.58 inference(quant_inst,[status(thm)],[])).
% 8.61/6.58 tff(25983,plain,
% 8.61/6.58 (v4(constB146)),
% 8.61/6.58 inference(unit_resolution,[status(thm)],[25982, 278])).
% 8.61/6.58 tff(25984,plain,
% 8.61/6.58 ((~((~v4(constB146)) <=> v18(constB146))) | (~v4(constB146)) | (~v18(constB146))),
% 8.61/6.58 inference(tautology,[status(thm)],[])).
% 8.61/6.58 tff(25985,plain,
% 8.61/6.58 (~v18(constB146)),
% 8.61/6.58 inference(unit_resolution,[status(thm)],[25984, 25983, 25981])).
% 8.61/6.58 tff(25986,plain,
% 8.61/6.58 ((~(v18(constB146) <=> (~((~v19(constB146)) | (~v22(constB146)))))) | v18(constB146) | ((~v19(constB146)) | (~v22(constB146)))),
% 8.61/6.58 inference(tautology,[status(thm)],[])).
% 8.61/6.58 tff(25987,plain,
% 8.61/6.58 ((~v19(constB146)) | (~v22(constB146))),
% 8.61/6.58 inference(unit_resolution,[status(thm)],[25986, 25985, 25979])).
% 8.61/6.58 tff(25988,plain,
% 8.61/6.58 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB146) <=> (v1(constB146) | v6(constB146)))),
% 8.61/6.58 inference(quant_inst,[status(thm)],[])).
% 8.61/6.58 tff(25989,plain,
% 8.61/6.58 (v22(constB146) <=> (v1(constB146) | v6(constB146))),
% 8.61/6.58 inference(unit_resolution,[status(thm)],[25988, 291])).
% 8.61/6.58 tff(25990,plain,
% 8.61/6.58 ((v1(constB146) | v6(constB146)) | (~v1(constB146))),
% 8.61/6.58 inference(tautology,[status(thm)],[])).
% 8.61/6.58 tff(25991,plain,
% 8.61/6.58 (v1(constB146) | v6(constB146)),
% 8.61/6.58 inference(unit_resolution,[status(thm)],[25990, 20026])).
% 8.61/6.58 tff(25992,plain,
% 8.61/6.58 ((~(v22(constB146) <=> (v1(constB146) | v6(constB146)))) | v22(constB146) | (~(v1(constB146) | v6(constB146)))),
% 8.61/6.58 inference(tautology,[status(thm)],[])).
% 8.61/6.58 tff(25993,plain,
% 8.61/6.58 ((~(v22(constB146) <=> (v1(constB146) | v6(constB146)))) | v22(constB146)),
% 8.61/6.58 inference(unit_resolution,[status(thm)],[25992, 25991])).
% 8.61/6.58 tff(25994,plain,
% 8.61/6.58 (v22(constB146)),
% 8.61/6.58 inference(unit_resolution,[status(thm)],[25993, 25989])).
% 8.61/6.58 tff(25995,plain,
% 8.61/6.58 ((~((~v19(constB146)) | (~v22(constB146)))) | (~v19(constB146)) | (~v22(constB146))),
% 8.61/6.58 inference(tautology,[status(thm)],[])).
% 8.61/6.58 tff(25996,plain,
% 8.61/6.58 ((~((~v19(constB146)) | (~v22(constB146)))) | (~v19(constB146))),
% 8.61/6.58 inference(unit_resolution,[status(thm)],[25995, 25994])).
% 8.61/6.58 tff(25997,plain,
% 8.61/6.58 (~v19(constB146)),
% 8.61/6.58 inference(unit_resolution,[status(thm)],[25996, 25987])).
% 8.61/6.58 tff(25998,plain,
% 8.61/6.58 ((~(v19(constB146) <=> (v20(constB146) | v21(constB146)))) | v19(constB146) | (~(v20(constB146) | v21(constB146)))),
% 8.61/6.58 inference(tautology,[status(thm)],[])).
% 8.61/6.58 tff(25999,plain,
% 8.61/6.58 (~(v20(constB146) | v21(constB146))),
% 8.61/6.58 inference(unit_resolution,[status(thm)],[25998, 25997, 25977])).
% 8.61/6.58 tff(26000,plain,
% 8.61/6.58 ((v20(constB146) | v21(constB146)) | (~v21(constB146))),
% 8.61/6.58 inference(tautology,[status(thm)],[])).
% 8.61/6.58 tff(26001,plain,
% 8.61/6.58 (~v21(constB146)),
% 8.61/6.58 inference(unit_resolution,[status(thm)],[26000, 25999])).
% 8.61/6.58 tff(26002,plain,
% 8.61/6.58 ((~((~v21(constB146)) <=> v6(constB146))) | v21(constB146) | v6(constB146)),
% 8.61/6.58 inference(tautology,[status(thm)],[])).
% 8.61/6.58 tff(26003,plain,
% 8.61/6.58 (v6(constB146)),
% 8.61/6.58 inference(unit_resolution,[status(thm)],[26002, 26001, 25975])).
% 8.61/6.58 tff(26004,plain,
% 8.61/6.58 ((~(v6(constB146) <=> v13(constB146))) | (~v6(constB146)) | v13(constB146)),
% 8.61/6.58 inference(tautology,[status(thm)],[])).
% 8.61/6.58 tff(26005,plain,
% 8.61/6.58 (v13(constB146)),
% 8.61/6.58 inference(unit_resolution,[status(thm)],[26004, 26003, 25973])).
% 8.61/6.58 tff(26006,plain,
% 8.61/6.58 ((~(v13(constB146) <=> v9(constB145))) | (~v13(constB146)) | v9(constB145)),
% 8.61/6.58 inference(tautology,[status(thm)],[])).
% 8.61/6.58 tff(26007,plain,
% 8.61/6.58 (v9(constB145)),
% 8.61/6.58 inference(unit_resolution,[status(thm)],[26006, 26005, 25971])).
% 8.61/6.58 tff(26008,plain,
% 8.61/6.58 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB145)) <=> v1(constB145))),
% 8.61/6.58 inference(quant_inst,[status(thm)],[])).
% 8.61/6.58 tff(26009,plain,
% 8.61/6.58 ((~v39(constB145)) <=> v1(constB145)),
% 8.61/6.58 inference(unit_resolution,[status(thm)],[26008, 129])).
% 8.61/6.58 tff(26010,plain,
% 8.61/6.58 ((~((~v39(constB145)) <=> v1(constB145))) | v39(constB145) | v1(constB145)),
% 8.61/6.58 inference(tautology,[status(thm)],[])).
% 8.61/6.58 tff(26011,plain,
% 8.61/6.58 ((~((~v39(constB145)) <=> v1(constB145))) | v39(constB145)),
% 8.61/6.58 inference(unit_resolution,[status(thm)],[26010, 16615])).
% 8.61/6.58 tff(26012,plain,
% 8.61/6.58 (v39(constB145)),
% 8.61/6.58 inference(unit_resolution,[status(thm)],[26011, 26009])).
% 8.61/6.58 tff(26013,plain,
% 8.61/6.58 ((~((~v39(constB145)) | (~v9(constB145)))) | (~v39(constB145)) | (~v9(constB145))),
% 8.61/6.58 inference(tautology,[status(thm)],[])).
% 8.61/6.58 tff(26014,plain,
% 8.61/6.58 ((~((~v39(constB145)) | (~v9(constB145)))) | (~v9(constB145))),
% 8.61/6.58 inference(unit_resolution,[status(thm)],[26013, 26012])).
% 8.61/6.58 tff(26015,plain,
% 8.61/6.58 (~((~v39(constB145)) | (~v9(constB145)))),
% 8.61/6.58 inference(unit_resolution,[status(thm)],[26014, 26007])).
% 8.61/6.58 tff(26016,plain,
% 8.61/6.58 ((~(v197(constB145) <=> (~((~v39(constB145)) | (~v9(constB145)))))) | v197(constB145) | ((~v39(constB145)) | (~v9(constB145)))),
% 8.61/6.58 inference(tautology,[status(thm)],[])).
% 8.61/6.58 tff(26017,plain,
% 8.61/6.58 (v197(constB145)),
% 8.61/6.58 inference(unit_resolution,[status(thm)],[26016, 26015, 25967])).
% 8.61/6.58 tff(26018,plain,
% 8.61/6.58 ((v197(constB145) | v26(constB145)) | (~v197(constB145))),
% 8.61/6.58 inference(tautology,[status(thm)],[])).
% 8.61/6.58 tff(26019,plain,
% 8.61/6.58 (v197(constB145) | v26(constB145)),
% 8.61/6.58 inference(unit_resolution,[status(thm)],[26018, 26017])).
% 8.61/6.58 tff(26020,plain,
% 8.61/6.58 ((~(v196(constB145) <=> (v197(constB145) | v26(constB145)))) | v196(constB145) | (~(v197(constB145) | v26(constB145)))),
% 8.61/6.58 inference(tautology,[status(thm)],[])).
% 8.61/6.58 tff(26021,plain,
% 8.61/6.58 (v196(constB145)),
% 8.61/6.58 inference(unit_resolution,[status(thm)],[26020, 26019, 25965])).
% 8.61/6.58 tff(26022,plain,
% 8.61/6.58 ((~((~v195(constB145)) <=> v196(constB145))) | (~v195(constB145)) | (~v196(constB145))),
% 8.61/6.58 inference(tautology,[status(thm)],[])).
% 8.61/6.58 tff(26023,plain,
% 8.61/6.58 (~v195(constB145)),
% 8.61/6.58 inference(unit_resolution,[status(thm)],[26022, 26021, 25963])).
% 8.61/6.58 tff(26024,plain,
% 8.61/6.58 (((~v157(constB145)) | (~v195(constB145))) | v195(constB145)),
% 8.61/6.58 inference(tautology,[status(thm)],[])).
% 8.61/6.58 tff(26025,plain,
% 8.61/6.58 ((~v157(constB145)) | (~v195(constB145))),
% 8.61/6.58 inference(unit_resolution,[status(thm)],[26024, 26023])).
% 8.61/6.58 tff(26026,plain,
% 8.61/6.58 ((~(v194(constB145) <=> (~((~v157(constB145)) | (~v195(constB145)))))) | (~v194(constB145)) | (~((~v157(constB145)) | (~v195(constB145))))),
% 8.61/6.58 inference(tautology,[status(thm)],[])).
% 8.61/6.58 tff(26027,plain,
% 8.61/6.58 (~v194(constB145)),
% 8.61/6.58 inference(unit_resolution,[status(thm)],[26026, 26025, 25961])).
% 8.61/6.58 tff(26028,plain,
% 8.61/6.58 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB145) <=> (~((~v199(constB145)) | (~v200(constB145)))))),
% 8.61/6.58 inference(quant_inst,[status(thm)],[])).
% 8.61/6.58 tff(26029,plain,
% 8.61/6.58 (v198(constB145) <=> (~((~v199(constB145)) | (~v200(constB145))))),
% 8.61/6.58 inference(unit_resolution,[status(thm)],[26028, 96])).
% 8.61/6.58 tff(26030,plain,
% 8.61/6.58 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB145) <=> (~((~v197(constB145)) | (~v201(constB145)))))),
% 8.61/6.58 inference(quant_inst,[status(thm)],[])).
% 8.61/6.58 tff(26031,plain,
% 8.61/6.58 (v200(constB145) <=> (~((~v197(constB145)) | (~v201(constB145))))),
% 8.61/6.58 inference(unit_resolution,[status(thm)],[26030, 108])).
% 8.61/6.58 tff(26032,plain,
% 8.61/6.58 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB145) <=> (~((~v159(constB145)) | (~v161(constB145)))))),
% 8.61/6.58 inference(quant_inst,[status(thm)],[])).
% 8.61/6.58 tff(26033,plain,
% 8.61/6.58 (v201(constB145) <=> (~((~v159(constB145)) | (~v161(constB145))))),
% 8.61/6.58 inference(unit_resolution,[status(thm)],[26032, 348])).
% 8.61/6.58 tff(26034,plain,
% 8.61/6.58 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB145) <=> v163(constB145))),
% 8.61/6.58 inference(quant_inst,[status(thm)],[])).
% 8.61/6.58 tff(26035,plain,
% 8.61/6.58 (v161(constB145) <=> v163(constB145)),
% 8.61/6.58 inference(unit_resolution,[status(thm)],[26034, 357])).
% 8.61/6.58 tff(26036,plain,
% 8.61/6.58 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB145) <=> (v145(constB145) | v167(constB145)))),
% 8.61/6.58 inference(quant_inst,[status(thm)],[])).
% 8.61/6.58 tff(26037,plain,
% 8.61/6.58 (v166(constB145) <=> (v145(constB145) | v167(constB145))),
% 8.61/6.58 inference(unit_resolution,[status(thm)],[26036, 369])).
% 8.61/6.58 tff(26038,plain,
% 8.61/6.58 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB145) <=> (v142(constB145) | v168(constB145)))),
% 8.61/6.58 inference(quant_inst,[status(thm)],[])).
% 8.61/6.58 tff(26039,plain,
% 8.61/6.58 (v167(constB145) <=> (v142(constB145) | v168(constB145))),
% 8.61/6.58 inference(unit_resolution,[status(thm)],[26038, 381])).
% 8.61/6.58 tff(26040,plain,
% 8.61/6.58 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB145) <=> (v143(constB145) | v144(constB145)))),
% 8.61/6.58 inference(quant_inst,[status(thm)],[])).
% 8.61/6.58 tff(26041,plain,
% 8.61/6.58 (v142(constB145) <=> (v143(constB145) | v144(constB145))),
% 8.61/6.58 inference(unit_resolution,[status(thm)],[26040, 10332])).
% 8.61/6.58 tff(26042,plain,
% 8.61/6.58 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB145) <=> (~((~v88(constB145, bitIndex1)) | (~v88(constB145, bitIndex2)) | v88(constB145, bitIndex0))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB145) <=> (~((~v88(constB145, bitIndex1)) | (~v88(constB145, bitIndex2)) | v88(constB145, bitIndex0)))))),
% 8.61/6.58 inference(rewrite,[status(thm)],[])).
% 8.61/6.58 tff(26043,plain,
% 8.61/6.58 ((v144(constB145) <=> (~(v88(constB145, bitIndex0) | (~v88(constB145, bitIndex1)) | (~v88(constB145, bitIndex2))))) <=> (v144(constB145) <=> (~((~v88(constB145, bitIndex1)) | (~v88(constB145, bitIndex2)) | v88(constB145, bitIndex0))))),
% 8.61/6.58 inference(rewrite,[status(thm)],[])).
% 8.61/6.58 tff(26044,plain,
% 8.61/6.58 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB145) <=> (~(v88(constB145, bitIndex0) | (~v88(constB145, bitIndex1)) | (~v88(constB145, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB145) <=> (~((~v88(constB145, bitIndex1)) | (~v88(constB145, bitIndex2)) | v88(constB145, bitIndex0)))))),
% 8.61/6.58 inference(monotonicity,[status(thm)],[26043])).
% 8.61/6.58 tff(26045,plain,
% 8.61/6.58 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB145) <=> (~(v88(constB145, bitIndex0) | (~v88(constB145, bitIndex1)) | (~v88(constB145, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB145) <=> (~((~v88(constB145, bitIndex1)) | (~v88(constB145, bitIndex2)) | v88(constB145, bitIndex0)))))),
% 8.61/6.58 inference(transitivity,[status(thm)],[26044, 26042])).
% 8.61/6.58 tff(26046,plain,
% 8.61/6.58 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB145) <=> (~(v88(constB145, bitIndex0) | (~v88(constB145, bitIndex1)) | (~v88(constB145, bitIndex2)))))),
% 8.61/6.58 inference(quant_inst,[status(thm)],[])).
% 8.61/6.58 tff(26047,plain,
% 8.61/6.58 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB145) <=> (~((~v88(constB145, bitIndex1)) | (~v88(constB145, bitIndex2)) | v88(constB145, bitIndex0))))),
% 8.61/6.58 inference(modus_ponens,[status(thm)],[26046, 26045])).
% 8.61/6.58 tff(26048,plain,
% 8.61/6.58 (v144(constB145) <=> (~((~v88(constB145, bitIndex1)) | (~v88(constB145, bitIndex2)) | v88(constB145, bitIndex0)))),
% 8.61/6.58 inference(unit_resolution,[status(thm)],[26047, 10347])).
% 8.61/6.58 tff(26049,plain,
% 8.61/6.58 ((~![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))) | (~(((~v88(constB145, bitIndex1)) <=> v90(constB145, bitIndex1)) | ((~v88(constB145, bitIndex2)) <=> v90(constB145, bitIndex2)) | ((~v88(constB145, bitIndex0)) <=> v90(constB145, bitIndex0))))),
% 8.61/6.58 inference(quant_inst,[status(thm)],[])).
% 8.61/6.58 tff(26050,plain,
% 8.61/6.58 (~(((~v88(constB145, bitIndex1)) <=> v90(constB145, bitIndex1)) | ((~v88(constB145, bitIndex2)) <=> v90(constB145, bitIndex2)) | ((~v88(constB145, bitIndex0)) <=> v90(constB145, bitIndex0)))),
% 8.61/6.58 inference(unit_resolution,[status(thm)],[26049, 428])).
% 8.61/6.58 tff(26051,plain,
% 8.61/6.58 ((((~v88(constB145, bitIndex1)) <=> v90(constB145, bitIndex1)) | ((~v88(constB145, bitIndex2)) <=> v90(constB145, bitIndex2)) | ((~v88(constB145, bitIndex0)) <=> v90(constB145, bitIndex0))) | (~((~v88(constB145, bitIndex2)) <=> v90(constB145, bitIndex2)))),
% 8.61/6.58 inference(tautology,[status(thm)],[])).
% 8.61/6.58 tff(26052,plain,
% 8.61/6.58 (~((~v88(constB145, bitIndex2)) <=> v90(constB145, bitIndex2))),
% 8.61/6.58 inference(unit_resolution,[status(thm)],[26051, 26050])).
% 8.61/6.58 tff(26053,plain,
% 8.61/6.58 (((~v88(constB145, bitIndex2)) <=> v90(constB145, bitIndex2)) | v88(constB145, bitIndex2) | (~v90(constB145, bitIndex2))),
% 8.61/6.58 inference(tautology,[status(thm)],[])).
% 8.61/6.58 tff(26054,plain,
% 8.61/6.58 (v88(constB145, bitIndex2)),
% 8.61/6.58 inference(unit_resolution,[status(thm)],[26053, 19910, 26052])).
% 8.61/6.58 tff(26055,plain,
% 8.61/6.58 ((((~v88(constB145, bitIndex1)) <=> v90(constB145, bitIndex1)) | ((~v88(constB145, bitIndex2)) <=> v90(constB145, bitIndex2)) | ((~v88(constB145, bitIndex0)) <=> v90(constB145, bitIndex0))) | (~((~v88(constB145, bitIndex0)) <=> v90(constB145, bitIndex0)))),
% 8.61/6.58 inference(tautology,[status(thm)],[])).
% 8.61/6.58 tff(26056,plain,
% 8.61/6.58 (~((~v88(constB145, bitIndex0)) <=> v90(constB145, bitIndex0))),
% 8.61/6.58 inference(unit_resolution,[status(thm)],[26055, 26050])).
% 8.61/6.58 tff(26057,plain,
% 8.61/6.58 (((~v88(constB145, bitIndex0)) <=> v90(constB145, bitIndex0)) | (~v88(constB145, bitIndex0)) | v90(constB145, bitIndex0)),
% 8.61/6.58 inference(tautology,[status(thm)],[])).
% 8.61/6.58 tff(26058,plain,
% 8.61/6.58 (~v88(constB145, bitIndex0)),
% 8.61/6.58 inference(unit_resolution,[status(thm)],[26057, 20061, 26056])).
% 8.61/6.58 tff(26059,plain,
% 8.61/6.58 ((((~v88(constB145, bitIndex1)) <=> v90(constB145, bitIndex1)) | ((~v88(constB145, bitIndex2)) <=> v90(constB145, bitIndex2)) | ((~v88(constB145, bitIndex0)) <=> v90(constB145, bitIndex0))) | (~((~v88(constB145, bitIndex1)) <=> v90(constB145, bitIndex1)))),
% 8.61/6.58 inference(tautology,[status(thm)],[])).
% 8.61/6.58 tff(26060,plain,
% 8.61/6.58 (~((~v88(constB145, bitIndex1)) <=> v90(constB145, bitIndex1))),
% 8.61/6.58 inference(unit_resolution,[status(thm)],[26059, 26050])).
% 8.61/6.58 tff(26061,plain,
% 8.61/6.58 (((~v88(constB145, bitIndex1)) <=> v90(constB145, bitIndex1)) | v88(constB145, bitIndex1) | (~v90(constB145, bitIndex1))),
% 8.61/6.58 inference(tautology,[status(thm)],[])).
% 8.61/6.58 tff(26062,plain,
% 8.61/6.58 (v88(constB145, bitIndex1)),
% 8.61/6.58 inference(unit_resolution,[status(thm)],[26061, 19939, 26060])).
% 8.61/6.58 tff(26063,plain,
% 8.61/6.58 ((~((~v88(constB145, bitIndex1)) | (~v88(constB145, bitIndex2)) | v88(constB145, bitIndex0))) | (~v88(constB145, bitIndex1)) | (~v88(constB145, bitIndex2)) | v88(constB145, bitIndex0)),
% 8.61/6.58 inference(tautology,[status(thm)],[])).
% 8.61/6.58 tff(26064,plain,
% 8.61/6.58 (~((~v88(constB145, bitIndex1)) | (~v88(constB145, bitIndex2)) | v88(constB145, bitIndex0))),
% 8.61/6.58 inference(unit_resolution,[status(thm)],[26063, 26062, 26058, 26054])).
% 8.61/6.58 tff(26065,plain,
% 8.61/6.58 ((~(v144(constB145) <=> (~((~v88(constB145, bitIndex1)) | (~v88(constB145, bitIndex2)) | v88(constB145, bitIndex0))))) | v144(constB145) | ((~v88(constB145, bitIndex1)) | (~v88(constB145, bitIndex2)) | v88(constB145, bitIndex0))),
% 8.61/6.58 inference(tautology,[status(thm)],[])).
% 8.61/6.58 tff(26066,plain,
% 8.61/6.58 (v144(constB145)),
% 8.61/6.58 inference(unit_resolution,[status(thm)],[26065, 26064, 26048])).
% 8.61/6.58 tff(26067,plain,
% 8.61/6.58 ((v143(constB145) | v144(constB145)) | (~v144(constB145))),
% 8.61/6.58 inference(tautology,[status(thm)],[])).
% 8.61/6.58 tff(26068,plain,
% 8.61/6.58 (v143(constB145) | v144(constB145)),
% 8.61/6.58 inference(unit_resolution,[status(thm)],[26067, 26066])).
% 8.61/6.58 tff(26069,plain,
% 8.61/6.58 ((~(v142(constB145) <=> (v143(constB145) | v144(constB145)))) | v142(constB145) | (~(v143(constB145) | v144(constB145)))),
% 8.61/6.58 inference(tautology,[status(thm)],[])).
% 8.61/6.58 tff(26070,plain,
% 8.61/6.58 (v142(constB145)),
% 8.61/6.58 inference(unit_resolution,[status(thm)],[26069, 26068, 26041])).
% 8.61/6.58 tff(26071,plain,
% 8.61/6.58 ((v142(constB145) | v168(constB145)) | (~v142(constB145))),
% 8.61/6.58 inference(tautology,[status(thm)],[])).
% 8.61/6.58 tff(26072,plain,
% 8.61/6.58 (v142(constB145) | v168(constB145)),
% 8.61/6.58 inference(unit_resolution,[status(thm)],[26071, 26070])).
% 8.61/6.58 tff(26073,plain,
% 8.61/6.58 ((~(v167(constB145) <=> (v142(constB145) | v168(constB145)))) | v167(constB145) | (~(v142(constB145) | v168(constB145)))),
% 8.61/6.58 inference(tautology,[status(thm)],[])).
% 8.61/6.58 tff(26074,plain,
% 8.61/6.58 ((~(v167(constB145) <=> (v142(constB145) | v168(constB145)))) | v167(constB145)),
% 8.61/6.58 inference(unit_resolution,[status(thm)],[26073, 26072])).
% 8.61/6.58 tff(26075,plain,
% 8.61/6.58 (v167(constB145)),
% 8.61/6.58 inference(unit_resolution,[status(thm)],[26074, 26039])).
% 8.61/6.58 tff(26076,plain,
% 8.61/6.58 ((v145(constB145) | v167(constB145)) | (~v167(constB145))),
% 8.61/6.58 inference(tautology,[status(thm)],[])).
% 8.61/6.58 tff(26077,plain,
% 8.61/6.58 (v145(constB145) | v167(constB145)),
% 8.61/6.58 inference(unit_resolution,[status(thm)],[26076, 26075])).
% 8.61/6.58 tff(26078,plain,
% 8.61/6.58 ((~(v166(constB145) <=> (v145(constB145) | v167(constB145)))) | v166(constB145) | (~(v145(constB145) | v167(constB145)))),
% 8.61/6.58 inference(tautology,[status(thm)],[])).
% 8.61/6.58 tff(26079,plain,
% 8.61/6.58 (v166(constB145)),
% 8.61/6.58 inference(unit_resolution,[status(thm)],[26078, 26077, 26037])).
% 8.61/6.58 tff(26080,plain,
% 8.61/6.58 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB145)) | (v163(constB145) <=> v170(constB145)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB145)) | (v163(constB145) <=> v170(constB145)))),
% 8.61/6.58 inference(rewrite,[status(thm)],[])).
% 8.61/6.58 tff(26081,plain,
% 8.61/6.58 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB145)) | (v163(constB145) <=> v170(constB145)))),
% 8.61/6.58 inference(quant_inst,[status(thm)],[])).
% 8.61/6.58 tff(26082,plain,
% 8.61/6.58 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB145)) | (v163(constB145) <=> v170(constB145))),
% 8.61/6.58 inference(modus_ponens,[status(thm)],[26081, 26080])).
% 8.61/6.58 tff(26083,plain,
% 8.61/6.58 ((~v166(constB145)) | (v163(constB145) <=> v170(constB145))),
% 8.61/6.58 inference(unit_resolution,[status(thm)],[26082, 9851])).
% 8.61/6.58 tff(26084,plain,
% 8.61/6.58 (v163(constB145) <=> v170(constB145)),
% 8.61/6.58 inference(unit_resolution,[status(thm)],[26083, 26079])).
% 8.61/6.58 tff(26085,plain,
% 8.61/6.58 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB145) <=> (v142(constB145) | v150(constB145)))),
% 8.61/6.58 inference(quant_inst,[status(thm)],[])).
% 8.61/6.58 tff(26086,plain,
% 8.61/6.58 (v171(constB145) <=> (v142(constB145) | v150(constB145))),
% 8.61/6.58 inference(unit_resolution,[status(thm)],[26085, 9866])).
% 8.61/6.58 tff(26087,plain,
% 8.61/6.58 ((v142(constB145) | v150(constB145)) | (~v142(constB145))),
% 8.61/6.58 inference(tautology,[status(thm)],[])).
% 8.61/6.58 tff(26088,plain,
% 8.61/6.58 (v142(constB145) | v150(constB145)),
% 8.61/6.58 inference(unit_resolution,[status(thm)],[26087, 26070])).
% 8.61/6.58 tff(26089,plain,
% 8.61/6.58 ((~(v171(constB145) <=> (v142(constB145) | v150(constB145)))) | v171(constB145) | (~(v142(constB145) | v150(constB145)))),
% 8.61/6.58 inference(tautology,[status(thm)],[])).
% 8.61/6.58 tff(26090,plain,
% 8.61/6.58 ((~(v171(constB145) <=> (v142(constB145) | v150(constB145)))) | v171(constB145)),
% 8.61/6.58 inference(unit_resolution,[status(thm)],[26089, 26088])).
% 8.61/6.58 tff(26091,plain,
% 8.61/6.58 (v171(constB145)),
% 8.61/6.58 inference(unit_resolution,[status(thm)],[26090, 26086])).
% 8.61/6.58 tff(26092,plain,
% 8.61/6.58 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB145)) | (~v171(constB145)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB145)) | (~v171(constB145)))),
% 8.61/6.58 inference(rewrite,[status(thm)],[])).
% 8.61/6.58 tff(26093,plain,
% 8.61/6.58 (((~v171(constB145)) | (~v170(constB145))) <=> ((~v170(constB145)) | (~v171(constB145)))),
% 8.61/6.58 inference(rewrite,[status(thm)],[])).
% 8.61/6.58 tff(26094,plain,
% 8.61/6.58 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB145)) | (~v170(constB145)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB145)) | (~v171(constB145))))),
% 8.61/6.58 inference(monotonicity,[status(thm)],[26093])).
% 8.61/6.58 tff(26095,plain,
% 8.61/6.58 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB145)) | (~v170(constB145)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB145)) | (~v171(constB145)))),
% 8.61/6.58 inference(transitivity,[status(thm)],[26094, 26092])).
% 8.61/6.58 tff(26096,plain,
% 8.61/6.58 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB145)) | (~v170(constB145)))),
% 8.61/6.58 inference(quant_inst,[status(thm)],[])).
% 8.61/6.58 tff(26097,plain,
% 8.61/6.58 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB145)) | (~v171(constB145))),
% 8.61/6.58 inference(modus_ponens,[status(thm)],[26096, 26095])).
% 8.61/6.58 tff(26098,plain,
% 8.61/6.58 (~v170(constB145)),
% 8.61/6.58 inference(unit_resolution,[status(thm)],[26097, 9899, 26091])).
% 8.61/6.58 tff(26099,plain,
% 8.61/6.58 ((~(v163(constB145) <=> v170(constB145))) | (~v163(constB145)) | v170(constB145)),
% 8.61/6.58 inference(tautology,[status(thm)],[])).
% 8.61/6.58 tff(26100,plain,
% 8.61/6.58 (~v163(constB145)),
% 8.61/6.58 inference(unit_resolution,[status(thm)],[26099, 26098, 26084])).
% 8.61/6.58 tff(26101,plain,
% 8.61/6.58 ((~(v161(constB145) <=> v163(constB145))) | (~v161(constB145)) | v163(constB145)),
% 8.61/6.58 inference(tautology,[status(thm)],[])).
% 8.61/6.58 tff(26102,plain,
% 8.61/6.58 (~v161(constB145)),
% 8.61/6.58 inference(unit_resolution,[status(thm)],[26101, 26100, 26035])).
% 8.61/6.58 tff(26103,plain,
% 8.61/6.58 (((~v159(constB145)) | (~v161(constB145))) | v161(constB145)),
% 8.61/6.58 inference(tautology,[status(thm)],[])).
% 8.61/6.58 tff(26104,plain,
% 8.61/6.58 ((~v159(constB145)) | (~v161(constB145))),
% 8.61/6.58 inference(unit_resolution,[status(thm)],[26103, 26102])).
% 8.61/6.58 tff(26105,plain,
% 8.61/6.58 ((~(v201(constB145) <=> (~((~v159(constB145)) | (~v161(constB145)))))) | (~v201(constB145)) | (~((~v159(constB145)) | (~v161(constB145))))),
% 8.61/6.58 inference(tautology,[status(thm)],[])).
% 8.61/6.58 tff(26106,plain,
% 8.61/6.58 (~v201(constB145)),
% 8.61/6.58 inference(unit_resolution,[status(thm)],[26105, 26104, 26033])).
% 8.61/6.58 tff(26107,plain,
% 8.61/6.58 (((~v197(constB145)) | (~v201(constB145))) | v201(constB145)),
% 8.61/6.58 inference(tautology,[status(thm)],[])).
% 8.61/6.58 tff(26108,plain,
% 8.61/6.58 ((~v197(constB145)) | (~v201(constB145))),
% 8.61/6.58 inference(unit_resolution,[status(thm)],[26107, 26106])).
% 8.61/6.58 tff(26109,plain,
% 8.61/6.58 ((~(v200(constB145) <=> (~((~v197(constB145)) | (~v201(constB145)))))) | (~v200(constB145)) | (~((~v197(constB145)) | (~v201(constB145))))),
% 8.61/6.58 inference(tautology,[status(thm)],[])).
% 8.61/6.58 tff(26110,plain,
% 8.61/6.58 (~v200(constB145)),
% 8.61/6.58 inference(unit_resolution,[status(thm)],[26109, 26108, 26031])).
% 8.61/6.58 tff(26111,plain,
% 8.61/6.58 (((~v199(constB145)) | (~v200(constB145))) | v200(constB145)),
% 8.61/6.58 inference(tautology,[status(thm)],[])).
% 8.61/6.58 tff(26112,plain,
% 8.61/6.58 ((~v199(constB145)) | (~v200(constB145))),
% 8.61/6.58 inference(unit_resolution,[status(thm)],[26111, 26110])).
% 8.61/6.58 tff(26113,plain,
% 8.61/6.58 ((~(v198(constB145) <=> (~((~v199(constB145)) | (~v200(constB145)))))) | (~v198(constB145)) | (~((~v199(constB145)) | (~v200(constB145))))),
% 8.61/6.58 inference(tautology,[status(thm)],[])).
% 8.61/6.58 tff(26114,plain,
% 8.61/6.58 (~v198(constB145)),
% 8.61/6.58 inference(unit_resolution,[status(thm)],[26113, 26112, 26029])).
% 8.61/6.58 tff(26115,plain,
% 8.61/6.58 ((~(v194(constB145) | v198(constB145))) | v194(constB145) | v198(constB145)),
% 8.61/6.58 inference(tautology,[status(thm)],[])).
% 8.61/6.58 tff(26116,plain,
% 8.61/6.58 (~(v194(constB145) | v198(constB145))),
% 8.61/6.58 inference(unit_resolution,[status(thm)],[26115, 26114, 26027])).
% 8.61/6.58 tff(26117,plain,
% 8.61/6.58 ((~(v191(constB145) <=> (v194(constB145) | v198(constB145)))) | (~v191(constB145)) | (v194(constB145) | v198(constB145))),
% 8.61/6.58 inference(tautology,[status(thm)],[])).
% 8.61/6.58 tff(26118,plain,
% 8.61/6.58 (~v191(constB145)),
% 8.61/6.58 inference(unit_resolution,[status(thm)],[26117, 26116, 25954])).
% 8.61/6.58 tff(26119,plain,
% 8.61/6.58 ((~(v193(constB146) <=> v191(constB145))) | (~v193(constB146)) | v191(constB145)),
% 8.61/6.58 inference(tautology,[status(thm)],[])).
% 8.61/6.58 tff(26120,plain,
% 8.61/6.58 (~v193(constB146)),
% 8.61/6.58 inference(unit_resolution,[status(thm)],[26119, 26118, 25952])).
% 8.61/6.58 tff(26121,plain,
% 8.61/6.58 ((~(v157(constB146) <=> v193(constB146))) | (~v157(constB146)) | v193(constB146)),
% 8.61/6.58 inference(tautology,[status(thm)],[])).
% 8.61/6.58 tff(26122,plain,
% 8.61/6.58 (~v157(constB146)),
% 8.61/6.58 inference(unit_resolution,[status(thm)],[26121, 26120, 25948])).
% 8.61/6.58 tff(26123,plain,
% 8.61/6.58 (((~v157(constB146)) | (~v195(constB146))) | v157(constB146)),
% 8.61/6.58 inference(tautology,[status(thm)],[])).
% 8.61/6.58 tff(26124,plain,
% 8.61/6.58 ((~v157(constB146)) | (~v195(constB146))),
% 8.61/6.58 inference(unit_resolution,[status(thm)],[26123, 26122])).
% 8.61/6.58 tff(26125,plain,
% 8.61/6.58 ((~(v194(constB146) <=> (~((~v157(constB146)) | (~v195(constB146)))))) | (~v194(constB146)) | (~((~v157(constB146)) | (~v195(constB146))))),
% 8.61/6.58 inference(tautology,[status(thm)],[])).
% 8.61/6.58 tff(26126,plain,
% 8.61/6.58 (~v194(constB146)),
% 8.61/6.58 inference(unit_resolution,[status(thm)],[26125, 26124, 25946])).
% 8.61/6.58 tff(26127,plain,
% 8.61/6.58 ((~(v194(constB146) | v198(constB146))) | v194(constB146) | v198(constB146)),
% 8.61/6.58 inference(tautology,[status(thm)],[])).
% 8.61/6.58 tff(26128,plain,
% 8.61/6.58 (~(v194(constB146) | v198(constB146))),
% 8.61/6.58 inference(unit_resolution,[status(thm)],[26127, 26126, 25939])).
% 8.61/6.58 tff(26129,plain,
% 8.61/6.58 ((~(v191(constB146) <=> (v194(constB146) | v198(constB146)))) | (~v191(constB146)) | (v194(constB146) | v198(constB146))),
% 8.61/6.58 inference(tautology,[status(thm)],[])).
% 8.61/6.58 tff(26130,plain,
% 8.61/6.58 (~v191(constB146)),
% 8.61/6.58 inference(unit_resolution,[status(thm)],[26129, 26128, 25914])).
% 8.61/6.58 tff(26131,plain,
% 8.61/6.58 ((~(v193(constB147) <=> v191(constB146))) | (~v193(constB147)) | v191(constB146)),
% 8.61/6.58 inference(tautology,[status(thm)],[])).
% 8.61/6.58 tff(26132,plain,
% 8.61/6.58 (~v193(constB147)),
% 8.61/6.58 inference(unit_resolution,[status(thm)],[26131, 26130, 25912])).
% 8.61/6.58 tff(26133,plain,
% 8.61/6.58 ($false),
% 8.61/6.58 inference(unit_resolution,[status(thm)],[26132, 25908])).
% 8.61/6.58 tff(26134,plain,(~(constB147 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.61/6.58 tff(26135,assumption,(constB135 = VarCurr!0), introduced(assumption)).
% 8.61/6.58 tff(26136,plain,
% 8.61/6.58 (v86(constB135) <=> v86(VarCurr!0)),
% 8.61/6.58 inference(monotonicity,[status(thm)],[26135])).
% 8.61/6.58 tff(26137,plain,
% 8.61/6.58 (v86(VarCurr!0) <=> v86(constB135)),
% 8.61/6.58 inference(symmetry,[status(thm)],[26136])).
% 8.61/6.58 tff(26138,plain,
% 8.61/6.58 ((~v86(VarCurr!0)) <=> (~v86(constB135))),
% 8.61/6.58 inference(monotonicity,[status(thm)],[26137])).
% 8.61/6.58 tff(26139,plain,
% 8.61/6.58 (~v86(constB135)),
% 8.61/6.58 inference(modus_ponens,[status(thm)],[14736, 26138])).
% 8.61/6.58 tff(26140,plain,
% 8.61/6.58 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB135) <=> (v136(constB135) | v145(constB135)))),
% 8.61/6.58 inference(quant_inst,[status(thm)],[])).
% 8.61/6.58 tff(26141,plain,
% 8.61/6.58 (v135(constB135) <=> (v136(constB135) | v145(constB135))),
% 8.61/6.58 inference(unit_resolution,[status(thm)],[26140, 14744])).
% 8.61/6.58 tff(26142,plain,
% 8.61/6.58 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB135) <=> (v137(constB135) | v142(constB135)))),
% 8.61/6.58 inference(quant_inst,[status(thm)],[])).
% 8.61/6.58 tff(26143,plain,
% 8.61/6.58 (v136(constB135) <=> (v137(constB135) | v142(constB135))),
% 8.61/6.58 inference(unit_resolution,[status(thm)],[26142, 14753])).
% 8.61/6.58 tff(26144,plain,
% 8.61/6.58 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB135) <=> (v143(constB135) | v144(constB135)))),
% 8.61/6.58 inference(quant_inst,[status(thm)],[])).
% 8.61/6.58 tff(26145,plain,
% 8.61/6.58 (v142(constB135) <=> (v143(constB135) | v144(constB135))),
% 8.61/6.58 inference(unit_resolution,[status(thm)],[26144, 10332])).
% 8.61/6.58 tff(26146,plain,
% 8.61/6.58 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB135) <=> (~((~v88(constB135, bitIndex1)) | (~v88(constB135, bitIndex2)) | v88(constB135, bitIndex0))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB135) <=> (~((~v88(constB135, bitIndex1)) | (~v88(constB135, bitIndex2)) | v88(constB135, bitIndex0)))))),
% 8.61/6.58 inference(rewrite,[status(thm)],[])).
% 8.61/6.58 tff(26147,plain,
% 8.61/6.58 ((v144(constB135) <=> (~(v88(constB135, bitIndex0) | (~v88(constB135, bitIndex1)) | (~v88(constB135, bitIndex2))))) <=> (v144(constB135) <=> (~((~v88(constB135, bitIndex1)) | (~v88(constB135, bitIndex2)) | v88(constB135, bitIndex0))))),
% 8.61/6.58 inference(rewrite,[status(thm)],[])).
% 8.61/6.58 tff(26148,plain,
% 8.61/6.58 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB135) <=> (~(v88(constB135, bitIndex0) | (~v88(constB135, bitIndex1)) | (~v88(constB135, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB135) <=> (~((~v88(constB135, bitIndex1)) | (~v88(constB135, bitIndex2)) | v88(constB135, bitIndex0)))))),
% 8.61/6.58 inference(monotonicity,[status(thm)],[26147])).
% 8.61/6.58 tff(26149,plain,
% 8.61/6.58 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB135) <=> (~(v88(constB135, bitIndex0) | (~v88(constB135, bitIndex1)) | (~v88(constB135, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB135) <=> (~((~v88(constB135, bitIndex1)) | (~v88(constB135, bitIndex2)) | v88(constB135, bitIndex0)))))),
% 8.61/6.58 inference(transitivity,[status(thm)],[26148, 26146])).
% 8.61/6.58 tff(26150,plain,
% 8.61/6.58 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB135) <=> (~(v88(constB135, bitIndex0) | (~v88(constB135, bitIndex1)) | (~v88(constB135, bitIndex2)))))),
% 8.61/6.58 inference(quant_inst,[status(thm)],[])).
% 8.61/6.58 tff(26151,plain,
% 8.61/6.58 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB135) <=> (~((~v88(constB135, bitIndex1)) | (~v88(constB135, bitIndex2)) | v88(constB135, bitIndex0))))),
% 8.61/6.58 inference(modus_ponens,[status(thm)],[26150, 26149])).
% 8.61/6.58 tff(26152,plain,
% 8.61/6.58 (v144(constB135) <=> (~((~v88(constB135, bitIndex1)) | (~v88(constB135, bitIndex2)) | v88(constB135, bitIndex0)))),
% 8.61/6.58 inference(unit_resolution,[status(thm)],[26151, 10347])).
% 8.61/6.58 tff(26153,plain,
% 8.61/6.58 ((~![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))) | (~(((~v88(constB135, bitIndex1)) <=> v90(constB135, bitIndex1)) | ((~v88(constB135, bitIndex2)) <=> v90(constB135, bitIndex2)) | ((~v88(constB135, bitIndex0)) <=> v90(constB135, bitIndex0))))),
% 8.61/6.59 inference(quant_inst,[status(thm)],[])).
% 8.61/6.59 tff(26154,plain,
% 8.61/6.59 (~(((~v88(constB135, bitIndex1)) <=> v90(constB135, bitIndex1)) | ((~v88(constB135, bitIndex2)) <=> v90(constB135, bitIndex2)) | ((~v88(constB135, bitIndex0)) <=> v90(constB135, bitIndex0)))),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26153, 428])).
% 8.61/6.59 tff(26155,plain,
% 8.61/6.59 ((((~v88(constB135, bitIndex1)) <=> v90(constB135, bitIndex1)) | ((~v88(constB135, bitIndex2)) <=> v90(constB135, bitIndex2)) | ((~v88(constB135, bitIndex0)) <=> v90(constB135, bitIndex0))) | (~((~v88(constB135, bitIndex2)) <=> v90(constB135, bitIndex2)))),
% 8.61/6.59 inference(tautology,[status(thm)],[])).
% 8.61/6.59 tff(26156,plain,
% 8.61/6.59 (~((~v88(constB135, bitIndex2)) <=> v90(constB135, bitIndex2))),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26155, 26154])).
% 8.61/6.59 tff(26157,plain,
% 8.61/6.59 (((~v88(constB135, bitIndex2)) <=> v90(constB135, bitIndex2)) | v88(constB135, bitIndex2) | (~v90(constB135, bitIndex2))),
% 8.61/6.59 inference(tautology,[status(thm)],[])).
% 8.61/6.59 tff(26158,plain,
% 8.61/6.59 (v88(constB135, bitIndex2)),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26157, 19192, 26156])).
% 8.61/6.59 tff(26159,plain,
% 8.61/6.59 ((((~v88(constB135, bitIndex1)) <=> v90(constB135, bitIndex1)) | ((~v88(constB135, bitIndex2)) <=> v90(constB135, bitIndex2)) | ((~v88(constB135, bitIndex0)) <=> v90(constB135, bitIndex0))) | (~((~v88(constB135, bitIndex0)) <=> v90(constB135, bitIndex0)))),
% 8.61/6.59 inference(tautology,[status(thm)],[])).
% 8.61/6.59 tff(26160,plain,
% 8.61/6.59 (~((~v88(constB135, bitIndex0)) <=> v90(constB135, bitIndex0))),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26159, 26154])).
% 8.61/6.59 tff(26161,plain,
% 8.61/6.59 (((~v88(constB135, bitIndex0)) <=> v90(constB135, bitIndex0)) | (~v88(constB135, bitIndex0)) | v90(constB135, bitIndex0)),
% 8.61/6.59 inference(tautology,[status(thm)],[])).
% 8.61/6.59 tff(26162,plain,
% 8.61/6.59 (~v88(constB135, bitIndex0)),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26161, 19112, 26160])).
% 8.61/6.59 tff(26163,plain,
% 8.61/6.59 ((((~v88(constB135, bitIndex1)) <=> v90(constB135, bitIndex1)) | ((~v88(constB135, bitIndex2)) <=> v90(constB135, bitIndex2)) | ((~v88(constB135, bitIndex0)) <=> v90(constB135, bitIndex0))) | (~((~v88(constB135, bitIndex1)) <=> v90(constB135, bitIndex1)))),
% 8.61/6.59 inference(tautology,[status(thm)],[])).
% 8.61/6.59 tff(26164,plain,
% 8.61/6.59 (~((~v88(constB135, bitIndex1)) <=> v90(constB135, bitIndex1))),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26163, 26154])).
% 8.61/6.59 tff(26165,plain,
% 8.61/6.59 (((~v88(constB135, bitIndex1)) <=> v90(constB135, bitIndex1)) | v88(constB135, bitIndex1) | (~v90(constB135, bitIndex1))),
% 8.61/6.59 inference(tautology,[status(thm)],[])).
% 8.61/6.59 tff(26166,plain,
% 8.61/6.59 (v88(constB135, bitIndex1)),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26165, 19152, 26164])).
% 8.61/6.59 tff(26167,plain,
% 8.61/6.59 ((~((~v88(constB135, bitIndex1)) | (~v88(constB135, bitIndex2)) | v88(constB135, bitIndex0))) | (~v88(constB135, bitIndex1)) | (~v88(constB135, bitIndex2)) | v88(constB135, bitIndex0)),
% 8.61/6.59 inference(tautology,[status(thm)],[])).
% 8.61/6.59 tff(26168,plain,
% 8.61/6.59 (~((~v88(constB135, bitIndex1)) | (~v88(constB135, bitIndex2)) | v88(constB135, bitIndex0))),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26167, 26166, 26162, 26158])).
% 8.61/6.59 tff(26169,plain,
% 8.61/6.59 ((~(v144(constB135) <=> (~((~v88(constB135, bitIndex1)) | (~v88(constB135, bitIndex2)) | v88(constB135, bitIndex0))))) | v144(constB135) | ((~v88(constB135, bitIndex1)) | (~v88(constB135, bitIndex2)) | v88(constB135, bitIndex0))),
% 8.61/6.59 inference(tautology,[status(thm)],[])).
% 8.61/6.59 tff(26170,plain,
% 8.61/6.59 (v144(constB135)),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26169, 26168, 26152])).
% 8.61/6.59 tff(26171,plain,
% 8.61/6.59 ((v143(constB135) | v144(constB135)) | (~v144(constB135))),
% 8.61/6.59 inference(tautology,[status(thm)],[])).
% 8.61/6.59 tff(26172,plain,
% 8.61/6.59 (v143(constB135) | v144(constB135)),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26171, 26170])).
% 8.61/6.59 tff(26173,plain,
% 8.61/6.59 ((~(v142(constB135) <=> (v143(constB135) | v144(constB135)))) | v142(constB135) | (~(v143(constB135) | v144(constB135)))),
% 8.61/6.59 inference(tautology,[status(thm)],[])).
% 8.61/6.59 tff(26174,plain,
% 8.61/6.59 (v142(constB135)),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26173, 26172, 26145])).
% 8.61/6.59 tff(26175,plain,
% 8.61/6.59 ((v137(constB135) | v142(constB135)) | (~v142(constB135))),
% 8.61/6.59 inference(tautology,[status(thm)],[])).
% 8.61/6.59 tff(26176,plain,
% 8.61/6.59 (v137(constB135) | v142(constB135)),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26175, 26174])).
% 8.61/6.59 tff(26177,plain,
% 8.61/6.59 ((~(v136(constB135) <=> (v137(constB135) | v142(constB135)))) | v136(constB135) | (~(v137(constB135) | v142(constB135)))),
% 8.61/6.59 inference(tautology,[status(thm)],[])).
% 8.61/6.59 tff(26178,plain,
% 8.61/6.59 ((~(v136(constB135) <=> (v137(constB135) | v142(constB135)))) | v136(constB135)),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26177, 26176])).
% 8.61/6.59 tff(26179,plain,
% 8.61/6.59 (v136(constB135)),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26178, 26143])).
% 8.61/6.59 tff(26180,plain,
% 8.61/6.59 ((v136(constB135) | v145(constB135)) | (~v136(constB135))),
% 8.61/6.59 inference(tautology,[status(thm)],[])).
% 8.61/6.59 tff(26181,plain,
% 8.61/6.59 (v136(constB135) | v145(constB135)),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26180, 26179])).
% 8.61/6.59 tff(26182,plain,
% 8.61/6.59 ((~(v135(constB135) <=> (v136(constB135) | v145(constB135)))) | v135(constB135) | (~(v136(constB135) | v145(constB135)))),
% 8.61/6.59 inference(tautology,[status(thm)],[])).
% 8.61/6.59 tff(26183,plain,
% 8.61/6.59 (v135(constB135)),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26182, 26181, 26141])).
% 8.61/6.59 tff(26184,plain,
% 8.61/6.59 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB135)) | (v86(constB135) <=> v148(constB135)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB135)) | (v86(constB135) <=> v148(constB135)))),
% 8.61/6.59 inference(rewrite,[status(thm)],[])).
% 8.61/6.59 tff(26185,plain,
% 8.61/6.59 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB135)) | (v86(constB135) <=> v148(constB135)))),
% 8.61/6.59 inference(quant_inst,[status(thm)],[])).
% 8.61/6.59 tff(26186,plain,
% 8.61/6.59 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB135)) | (v86(constB135) <=> v148(constB135))),
% 8.61/6.59 inference(modus_ponens,[status(thm)],[26185, 26184])).
% 8.61/6.59 tff(26187,plain,
% 8.61/6.59 (v86(constB135) <=> v148(constB135)),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26186, 14818, 26183])).
% 8.61/6.59 tff(26188,plain,
% 8.61/6.59 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB135) | (~v142(constB135)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB135) | (~v142(constB135)))),
% 8.61/6.59 inference(rewrite,[status(thm)],[])).
% 8.61/6.59 tff(26189,plain,
% 8.61/6.59 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB135) | (~v142(constB135)))),
% 8.61/6.59 inference(quant_inst,[status(thm)],[])).
% 8.61/6.59 tff(26190,plain,
% 8.61/6.59 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB135) | (~v142(constB135))),
% 8.61/6.59 inference(modus_ponens,[status(thm)],[26189, 26188])).
% 8.61/6.59 tff(26191,plain,
% 8.61/6.59 (v148(constB135)),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26190, 14832, 26174])).
% 8.61/6.59 tff(26192,plain,
% 8.61/6.59 ((~(v86(constB135) <=> v148(constB135))) | v86(constB135) | (~v148(constB135))),
% 8.61/6.59 inference(tautology,[status(thm)],[])).
% 8.61/6.59 tff(26193,plain,
% 8.61/6.59 ((~(v86(constB135) <=> v148(constB135))) | v86(constB135)),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26192, 26191])).
% 8.61/6.59 tff(26194,plain,
% 8.61/6.59 (v86(constB135)),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26193, 26187])).
% 8.61/6.59 tff(26195,plain,
% 8.61/6.59 ($false),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26194, 26139])).
% 8.61/6.59 tff(26196,plain,(~(constB135 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.61/6.59 tff(26197,assumption,(constB121 = VarCurr!0), introduced(assumption)).
% 8.61/6.59 tff(26198,plain,
% 8.61/6.59 (v193(constB121) <=> v193(VarCurr!0)),
% 8.61/6.59 inference(monotonicity,[status(thm)],[26197])).
% 8.61/6.59 tff(26199,plain,
% 8.61/6.59 (v193(VarCurr!0) <=> v193(constB121)),
% 8.61/6.59 inference(symmetry,[status(thm)],[26198])).
% 8.61/6.59 tff(26200,plain,
% 8.61/6.59 (v193(constB121)),
% 8.61/6.59 inference(modus_ponens,[status(thm)],[59, 26199])).
% 8.61/6.59 tff(26201,plain,
% 8.61/6.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB120, constB121)) | (v193(constB121) <=> v191(constB120)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB120, constB121)) | (v193(constB121) <=> v191(constB120)))),
% 8.61/6.59 inference(rewrite,[status(thm)],[])).
% 8.61/6.59 tff(26202,plain,
% 8.61/6.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB120, constB121)) | (v193(constB121) <=> v191(constB120)))),
% 8.61/6.59 inference(quant_inst,[status(thm)],[])).
% 8.61/6.59 tff(26203,plain,
% 8.61/6.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB120, constB121)) | (v193(constB121) <=> v191(constB120))),
% 8.61/6.59 inference(modus_ponens,[status(thm)],[26202, 26201])).
% 8.61/6.59 tff(26204,plain,
% 8.61/6.59 (v193(constB121) <=> v191(constB120)),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26203, 17373, 70])).
% 8.61/6.59 tff(26205,plain,
% 8.61/6.59 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB120) <=> (v194(constB120) | v198(constB120)))),
% 8.61/6.59 inference(quant_inst,[status(thm)],[])).
% 8.61/6.59 tff(26206,plain,
% 8.61/6.59 (v191(constB120) <=> (v194(constB120) | v198(constB120))),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26205, 84])).
% 8.61/6.59 tff(26207,plain,
% 8.61/6.59 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB120) <=> (~((~v199(constB120)) | (~v200(constB120)))))),
% 8.61/6.59 inference(quant_inst,[status(thm)],[])).
% 8.61/6.59 tff(26208,plain,
% 8.61/6.59 (v198(constB120) <=> (~((~v199(constB120)) | (~v200(constB120))))),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26207, 96])).
% 8.61/6.59 tff(26209,plain,
% 8.61/6.59 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB120) <=> (~((~v197(constB120)) | (~v201(constB120)))))),
% 8.61/6.59 inference(quant_inst,[status(thm)],[])).
% 8.61/6.59 tff(26210,plain,
% 8.61/6.59 (v200(constB120) <=> (~((~v197(constB120)) | (~v201(constB120))))),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26209, 108])).
% 8.61/6.59 tff(26211,plain,
% 8.61/6.59 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB120) <=> (~((~v39(constB120)) | (~v9(constB120)))))),
% 8.61/6.59 inference(quant_inst,[status(thm)],[])).
% 8.61/6.59 tff(26212,plain,
% 8.61/6.59 (v197(constB120) <=> (~((~v39(constB120)) | (~v9(constB120))))),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26211, 120])).
% 8.61/6.59 tff(26213,plain,
% 8.61/6.59 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB120)) <=> v1(constB120))),
% 8.61/6.59 inference(quant_inst,[status(thm)],[])).
% 8.61/6.59 tff(26214,plain,
% 8.61/6.59 ((~v39(constB120)) <=> v1(constB120)),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26213, 129])).
% 8.61/6.59 tff(26215,plain,
% 8.61/6.59 ((~((~v39(constB120)) <=> v1(constB120))) | (~v39(constB120)) | (~v1(constB120))),
% 8.61/6.59 inference(tautology,[status(thm)],[])).
% 8.61/6.59 tff(26216,plain,
% 8.61/6.59 ((~((~v39(constB120)) <=> v1(constB120))) | (~v39(constB120))),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26215, 17945])).
% 8.61/6.59 tff(26217,plain,
% 8.61/6.59 (~v39(constB120)),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26216, 26214])).
% 8.61/6.59 tff(26218,plain,
% 8.61/6.59 (((~v39(constB120)) | (~v9(constB120))) | v39(constB120)),
% 8.61/6.59 inference(tautology,[status(thm)],[])).
% 8.61/6.59 tff(26219,plain,
% 8.61/6.59 ((~v39(constB120)) | (~v9(constB120))),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26218, 26217])).
% 8.61/6.59 tff(26220,plain,
% 8.61/6.59 ((~(v197(constB120) <=> (~((~v39(constB120)) | (~v9(constB120)))))) | (~v197(constB120)) | (~((~v39(constB120)) | (~v9(constB120))))),
% 8.61/6.59 inference(tautology,[status(thm)],[])).
% 8.61/6.59 tff(26221,plain,
% 8.61/6.59 ((~(v197(constB120) <=> (~((~v39(constB120)) | (~v9(constB120)))))) | (~v197(constB120))),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26220, 26219])).
% 8.61/6.59 tff(26222,plain,
% 8.61/6.59 (~v197(constB120)),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26221, 26212])).
% 8.61/6.59 tff(26223,plain,
% 8.61/6.59 (((~v197(constB120)) | (~v201(constB120))) | v197(constB120)),
% 8.61/6.59 inference(tautology,[status(thm)],[])).
% 8.61/6.59 tff(26224,plain,
% 8.61/6.59 ((~v197(constB120)) | (~v201(constB120))),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26223, 26222])).
% 8.61/6.59 tff(26225,plain,
% 8.61/6.59 ((~(v200(constB120) <=> (~((~v197(constB120)) | (~v201(constB120)))))) | (~v200(constB120)) | (~((~v197(constB120)) | (~v201(constB120))))),
% 8.61/6.59 inference(tautology,[status(thm)],[])).
% 8.61/6.59 tff(26226,plain,
% 8.61/6.59 ((~(v200(constB120) <=> (~((~v197(constB120)) | (~v201(constB120)))))) | (~v200(constB120))),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26225, 26224])).
% 8.61/6.59 tff(26227,plain,
% 8.61/6.59 (~v200(constB120)),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26226, 26210])).
% 8.61/6.59 tff(26228,plain,
% 8.61/6.59 (((~v199(constB120)) | (~v200(constB120))) | v200(constB120)),
% 8.61/6.59 inference(tautology,[status(thm)],[])).
% 8.61/6.59 tff(26229,plain,
% 8.61/6.59 ((~v199(constB120)) | (~v200(constB120))),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26228, 26227])).
% 8.61/6.59 tff(26230,plain,
% 8.61/6.59 ((~(v198(constB120) <=> (~((~v199(constB120)) | (~v200(constB120)))))) | (~v198(constB120)) | (~((~v199(constB120)) | (~v200(constB120))))),
% 8.61/6.59 inference(tautology,[status(thm)],[])).
% 8.61/6.59 tff(26231,plain,
% 8.61/6.59 (~v198(constB120)),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26230, 26229, 26208])).
% 8.61/6.59 tff(26232,plain,
% 8.61/6.59 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB120) <=> (~((~v157(constB120)) | (~v195(constB120)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB120) <=> (~((~v157(constB120)) | (~v195(constB120))))))),
% 8.61/6.59 inference(rewrite,[status(thm)],[])).
% 8.61/6.59 tff(26233,plain,
% 8.61/6.59 ((v194(constB120) <=> (~((~v195(constB120)) | (~v157(constB120))))) <=> (v194(constB120) <=> (~((~v157(constB120)) | (~v195(constB120)))))),
% 8.61/6.59 inference(rewrite,[status(thm)],[])).
% 8.61/6.59 tff(26234,plain,
% 8.61/6.59 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB120) <=> (~((~v195(constB120)) | (~v157(constB120)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB120) <=> (~((~v157(constB120)) | (~v195(constB120))))))),
% 8.61/6.59 inference(monotonicity,[status(thm)],[26233])).
% 8.61/6.59 tff(26235,plain,
% 8.61/6.59 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB120) <=> (~((~v195(constB120)) | (~v157(constB120)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB120) <=> (~((~v157(constB120)) | (~v195(constB120))))))),
% 8.61/6.59 inference(transitivity,[status(thm)],[26234, 26232])).
% 8.61/6.59 tff(26236,plain,
% 8.61/6.59 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB120) <=> (~((~v195(constB120)) | (~v157(constB120)))))),
% 8.61/6.59 inference(quant_inst,[status(thm)],[])).
% 8.61/6.59 tff(26237,plain,
% 8.61/6.59 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB120) <=> (~((~v157(constB120)) | (~v195(constB120)))))),
% 8.61/6.59 inference(modus_ponens,[status(thm)],[26236, 26235])).
% 8.61/6.59 tff(26238,plain,
% 8.61/6.59 (v194(constB120) <=> (~((~v157(constB120)) | (~v195(constB120))))),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26237, 161])).
% 8.61/6.59 tff(26239,plain,
% 8.61/6.59 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB120) <=> v193(constB120))),
% 8.61/6.59 inference(quant_inst,[status(thm)],[])).
% 8.61/6.59 tff(26240,plain,
% 8.61/6.59 (v157(constB120) <=> v193(constB120)),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26239, 13])).
% 8.61/6.59 tff(26241,plain,
% 8.61/6.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB119, constB120)) | (v193(constB120) <=> v191(constB119)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB119, constB120)) | (v193(constB120) <=> v191(constB119)))),
% 8.61/6.59 inference(rewrite,[status(thm)],[])).
% 8.61/6.59 tff(26242,plain,
% 8.61/6.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB119, constB120)) | (v193(constB120) <=> v191(constB119)))),
% 8.61/6.59 inference(quant_inst,[status(thm)],[])).
% 8.61/6.59 tff(26243,plain,
% 8.61/6.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB119, constB120)) | (v193(constB120) <=> v191(constB119))),
% 8.61/6.59 inference(modus_ponens,[status(thm)],[26242, 26241])).
% 8.61/6.59 tff(26244,plain,
% 8.61/6.59 (v193(constB120) <=> v191(constB119)),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26243, 17409, 70])).
% 8.61/6.59 tff(26245,plain,
% 8.61/6.59 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB119) <=> (v194(constB119) | v198(constB119)))),
% 8.61/6.59 inference(quant_inst,[status(thm)],[])).
% 8.61/6.59 tff(26246,plain,
% 8.61/6.59 (v191(constB119) <=> (v194(constB119) | v198(constB119))),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26245, 84])).
% 8.61/6.59 tff(26247,plain,
% 8.61/6.59 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB119) <=> (~((~v157(constB119)) | (~v195(constB119)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB119) <=> (~((~v157(constB119)) | (~v195(constB119))))))),
% 8.61/6.59 inference(rewrite,[status(thm)],[])).
% 8.61/6.59 tff(26248,plain,
% 8.61/6.59 ((v194(constB119) <=> (~((~v195(constB119)) | (~v157(constB119))))) <=> (v194(constB119) <=> (~((~v157(constB119)) | (~v195(constB119)))))),
% 8.61/6.59 inference(rewrite,[status(thm)],[])).
% 8.61/6.59 tff(26249,plain,
% 8.61/6.59 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB119) <=> (~((~v195(constB119)) | (~v157(constB119)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB119) <=> (~((~v157(constB119)) | (~v195(constB119))))))),
% 8.61/6.59 inference(monotonicity,[status(thm)],[26248])).
% 8.61/6.59 tff(26250,plain,
% 8.61/6.59 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB119) <=> (~((~v195(constB119)) | (~v157(constB119)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB119) <=> (~((~v157(constB119)) | (~v195(constB119))))))),
% 8.61/6.59 inference(transitivity,[status(thm)],[26249, 26247])).
% 8.61/6.59 tff(26251,plain,
% 8.61/6.59 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB119) <=> (~((~v195(constB119)) | (~v157(constB119)))))),
% 8.61/6.59 inference(quant_inst,[status(thm)],[])).
% 8.61/6.59 tff(26252,plain,
% 8.61/6.59 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB119) <=> (~((~v157(constB119)) | (~v195(constB119)))))),
% 8.61/6.59 inference(modus_ponens,[status(thm)],[26251, 26250])).
% 8.61/6.59 tff(26253,plain,
% 8.61/6.59 (v194(constB119) <=> (~((~v157(constB119)) | (~v195(constB119))))),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26252, 161])).
% 8.61/6.59 tff(26254,plain,
% 8.61/6.59 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB119)) <=> v196(constB119))),
% 8.61/6.59 inference(quant_inst,[status(thm)],[])).
% 8.61/6.59 tff(26255,plain,
% 8.61/6.59 ((~v195(constB119)) <=> v196(constB119)),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26254, 193])).
% 8.61/6.59 tff(26256,plain,
% 8.61/6.59 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB119) <=> (v197(constB119) | v26(constB119)))),
% 8.61/6.59 inference(quant_inst,[status(thm)],[])).
% 8.61/6.59 tff(26257,plain,
% 8.61/6.59 (v196(constB119) <=> (v197(constB119) | v26(constB119))),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26256, 202])).
% 8.61/6.59 tff(26258,plain,
% 8.61/6.59 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB119) <=> (~((~v39(constB119)) | (~v9(constB119)))))),
% 8.61/6.59 inference(quant_inst,[status(thm)],[])).
% 8.61/6.59 tff(26259,plain,
% 8.61/6.59 (v197(constB119) <=> (~((~v39(constB119)) | (~v9(constB119))))),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26258, 120])).
% 8.61/6.59 tff(26260,plain,
% 8.61/6.59 (((~![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)))),
% 8.61/6.59 inference(rewrite,[status(thm)],[])).
% 8.61/6.59 tff(26261,plain,
% 8.61/6.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB119, constB120)) | (v13(constB120) <=> v9(constB119)))),
% 8.61/6.59 inference(quant_inst,[status(thm)],[])).
% 8.61/6.59 tff(26262,plain,
% 8.61/6.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB119, constB120)) | (v13(constB120) <=> v9(constB119))),
% 8.61/6.59 inference(modus_ponens,[status(thm)],[26261, 26260])).
% 8.61/6.59 tff(26263,plain,
% 8.61/6.59 (v13(constB120) <=> v9(constB119)),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26262, 17409, 216])).
% 8.61/6.59 tff(26264,plain,
% 8.61/6.59 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB120) <=> v13(constB120))),
% 8.61/6.59 inference(quant_inst,[status(thm)],[])).
% 8.61/6.59 tff(26265,plain,
% 8.61/6.59 (v6(constB120) <=> v13(constB120)),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26264, 230])).
% 8.61/6.59 tff(26266,plain,
% 8.61/6.59 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB120)) <=> v6(constB120))),
% 8.61/6.59 inference(quant_inst,[status(thm)],[])).
% 8.61/6.59 tff(26267,plain,
% 8.61/6.59 ((~v21(constB120)) <=> v6(constB120)),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26266, 239])).
% 8.61/6.59 tff(26268,plain,
% 8.61/6.59 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB120) <=> (v20(constB120) | v21(constB120)))),
% 8.61/6.59 inference(quant_inst,[status(thm)],[])).
% 8.61/6.59 tff(26269,plain,
% 8.61/6.59 (v19(constB120) <=> (v20(constB120) | v21(constB120))),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26268, 248])).
% 8.61/6.59 tff(26270,plain,
% 8.61/6.59 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB120) <=> (~((~v19(constB120)) | (~v22(constB120)))))),
% 8.61/6.59 inference(quant_inst,[status(thm)],[])).
% 8.61/6.59 tff(26271,plain,
% 8.61/6.59 (v18(constB120) <=> (~((~v19(constB120)) | (~v22(constB120))))),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26270, 260])).
% 8.61/6.59 tff(26272,plain,
% 8.61/6.59 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB120)) <=> v18(constB120))),
% 8.61/6.59 inference(quant_inst,[status(thm)],[])).
% 8.61/6.59 tff(26273,plain,
% 8.61/6.59 ((~v4(constB120)) <=> v18(constB120)),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26272, 269])).
% 8.61/6.59 tff(26274,plain,
% 8.61/6.59 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB120)),
% 8.61/6.59 inference(quant_inst,[status(thm)],[])).
% 8.61/6.59 tff(26275,plain,
% 8.61/6.59 (v4(constB120)),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26274, 278])).
% 8.61/6.59 tff(26276,plain,
% 8.61/6.59 ((~((~v4(constB120)) <=> v18(constB120))) | (~v4(constB120)) | (~v18(constB120))),
% 8.61/6.59 inference(tautology,[status(thm)],[])).
% 8.61/6.59 tff(26277,plain,
% 8.61/6.59 (~v18(constB120)),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26276, 26275, 26273])).
% 8.61/6.59 tff(26278,plain,
% 8.61/6.59 ((~(v18(constB120) <=> (~((~v19(constB120)) | (~v22(constB120)))))) | v18(constB120) | ((~v19(constB120)) | (~v22(constB120)))),
% 8.61/6.59 inference(tautology,[status(thm)],[])).
% 8.61/6.59 tff(26279,plain,
% 8.61/6.59 ((~v19(constB120)) | (~v22(constB120))),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26278, 26277, 26271])).
% 8.61/6.59 tff(26280,plain,
% 8.61/6.59 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB120) <=> (v1(constB120) | v6(constB120)))),
% 8.61/6.59 inference(quant_inst,[status(thm)],[])).
% 8.61/6.59 tff(26281,plain,
% 8.61/6.59 (v22(constB120) <=> (v1(constB120) | v6(constB120))),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26280, 291])).
% 8.61/6.59 tff(26282,plain,
% 8.61/6.59 ((v1(constB120) | v6(constB120)) | (~v1(constB120))),
% 8.61/6.59 inference(tautology,[status(thm)],[])).
% 8.61/6.59 tff(26283,plain,
% 8.61/6.59 (v1(constB120) | v6(constB120)),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26282, 17945])).
% 8.61/6.59 tff(26284,plain,
% 8.61/6.59 ((~(v22(constB120) <=> (v1(constB120) | v6(constB120)))) | v22(constB120) | (~(v1(constB120) | v6(constB120)))),
% 8.61/6.59 inference(tautology,[status(thm)],[])).
% 8.61/6.59 tff(26285,plain,
% 8.61/6.59 ((~(v22(constB120) <=> (v1(constB120) | v6(constB120)))) | v22(constB120)),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26284, 26283])).
% 8.61/6.59 tff(26286,plain,
% 8.61/6.59 (v22(constB120)),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26285, 26281])).
% 8.61/6.59 tff(26287,plain,
% 8.61/6.59 ((~((~v19(constB120)) | (~v22(constB120)))) | (~v19(constB120)) | (~v22(constB120))),
% 8.61/6.59 inference(tautology,[status(thm)],[])).
% 8.61/6.59 tff(26288,plain,
% 8.61/6.59 ((~((~v19(constB120)) | (~v22(constB120)))) | (~v19(constB120))),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26287, 26286])).
% 8.61/6.59 tff(26289,plain,
% 8.61/6.59 (~v19(constB120)),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26288, 26279])).
% 8.61/6.59 tff(26290,plain,
% 8.61/6.59 ((~(v19(constB120) <=> (v20(constB120) | v21(constB120)))) | v19(constB120) | (~(v20(constB120) | v21(constB120)))),
% 8.61/6.59 inference(tautology,[status(thm)],[])).
% 8.61/6.59 tff(26291,plain,
% 8.61/6.59 (~(v20(constB120) | v21(constB120))),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26290, 26289, 26269])).
% 8.61/6.59 tff(26292,plain,
% 8.61/6.59 ((v20(constB120) | v21(constB120)) | (~v21(constB120))),
% 8.61/6.59 inference(tautology,[status(thm)],[])).
% 8.61/6.59 tff(26293,plain,
% 8.61/6.59 (~v21(constB120)),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26292, 26291])).
% 8.61/6.59 tff(26294,plain,
% 8.61/6.59 ((~((~v21(constB120)) <=> v6(constB120))) | v21(constB120) | v6(constB120)),
% 8.61/6.59 inference(tautology,[status(thm)],[])).
% 8.61/6.59 tff(26295,plain,
% 8.61/6.59 (v6(constB120)),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26294, 26293, 26267])).
% 8.61/6.59 tff(26296,plain,
% 8.61/6.59 ((~(v6(constB120) <=> v13(constB120))) | (~v6(constB120)) | v13(constB120)),
% 8.61/6.59 inference(tautology,[status(thm)],[])).
% 8.61/6.59 tff(26297,plain,
% 8.61/6.59 (v13(constB120)),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26296, 26295, 26265])).
% 8.61/6.59 tff(26298,plain,
% 8.61/6.59 ((~(v13(constB120) <=> v9(constB119))) | (~v13(constB120)) | v9(constB119)),
% 8.61/6.59 inference(tautology,[status(thm)],[])).
% 8.61/6.59 tff(26299,plain,
% 8.61/6.59 (v9(constB119)),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26298, 26297, 26263])).
% 8.61/6.59 tff(26300,plain,
% 8.61/6.59 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB119)) <=> v1(constB119))),
% 8.61/6.59 inference(quant_inst,[status(thm)],[])).
% 8.61/6.59 tff(26301,plain,
% 8.61/6.59 ((~v39(constB119)) <=> v1(constB119)),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26300, 129])).
% 8.61/6.59 tff(26302,plain,
% 8.61/6.59 ((~((~v39(constB119)) <=> v1(constB119))) | v39(constB119) | v1(constB119)),
% 8.61/6.59 inference(tautology,[status(thm)],[])).
% 8.61/6.59 tff(26303,plain,
% 8.61/6.59 ((~((~v39(constB119)) <=> v1(constB119))) | v39(constB119)),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26302, 17453])).
% 8.61/6.59 tff(26304,plain,
% 8.61/6.59 (v39(constB119)),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26303, 26301])).
% 8.61/6.59 tff(26305,plain,
% 8.61/6.59 ((~((~v39(constB119)) | (~v9(constB119)))) | (~v39(constB119)) | (~v9(constB119))),
% 8.61/6.59 inference(tautology,[status(thm)],[])).
% 8.61/6.59 tff(26306,plain,
% 8.61/6.59 ((~((~v39(constB119)) | (~v9(constB119)))) | (~v9(constB119))),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26305, 26304])).
% 8.61/6.59 tff(26307,plain,
% 8.61/6.59 (~((~v39(constB119)) | (~v9(constB119)))),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26306, 26299])).
% 8.61/6.59 tff(26308,plain,
% 8.61/6.59 ((~(v197(constB119) <=> (~((~v39(constB119)) | (~v9(constB119)))))) | v197(constB119) | ((~v39(constB119)) | (~v9(constB119)))),
% 8.61/6.59 inference(tautology,[status(thm)],[])).
% 8.61/6.59 tff(26309,plain,
% 8.61/6.59 (v197(constB119)),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26308, 26307, 26259])).
% 8.61/6.59 tff(26310,plain,
% 8.61/6.59 ((v197(constB119) | v26(constB119)) | (~v197(constB119))),
% 8.61/6.59 inference(tautology,[status(thm)],[])).
% 8.61/6.59 tff(26311,plain,
% 8.61/6.59 (v197(constB119) | v26(constB119)),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26310, 26309])).
% 8.61/6.59 tff(26312,plain,
% 8.61/6.59 ((~(v196(constB119) <=> (v197(constB119) | v26(constB119)))) | v196(constB119) | (~(v197(constB119) | v26(constB119)))),
% 8.61/6.59 inference(tautology,[status(thm)],[])).
% 8.61/6.59 tff(26313,plain,
% 8.61/6.59 (v196(constB119)),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26312, 26311, 26257])).
% 8.61/6.59 tff(26314,plain,
% 8.61/6.59 ((~((~v195(constB119)) <=> v196(constB119))) | (~v195(constB119)) | (~v196(constB119))),
% 8.61/6.59 inference(tautology,[status(thm)],[])).
% 8.61/6.59 tff(26315,plain,
% 8.61/6.59 (~v195(constB119)),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26314, 26313, 26255])).
% 8.61/6.59 tff(26316,plain,
% 8.61/6.59 (((~v157(constB119)) | (~v195(constB119))) | v195(constB119)),
% 8.61/6.59 inference(tautology,[status(thm)],[])).
% 8.61/6.59 tff(26317,plain,
% 8.61/6.59 ((~v157(constB119)) | (~v195(constB119))),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26316, 26315])).
% 8.61/6.59 tff(26318,plain,
% 8.61/6.59 ((~(v194(constB119) <=> (~((~v157(constB119)) | (~v195(constB119)))))) | (~v194(constB119)) | (~((~v157(constB119)) | (~v195(constB119))))),
% 8.61/6.59 inference(tautology,[status(thm)],[])).
% 8.61/6.59 tff(26319,plain,
% 8.61/6.59 (~v194(constB119)),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26318, 26317, 26253])).
% 8.61/6.59 tff(26320,plain,
% 8.61/6.59 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB119) <=> (~((~v199(constB119)) | (~v200(constB119)))))),
% 8.61/6.59 inference(quant_inst,[status(thm)],[])).
% 8.61/6.59 tff(26321,plain,
% 8.61/6.59 (v198(constB119) <=> (~((~v199(constB119)) | (~v200(constB119))))),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26320, 96])).
% 8.61/6.59 tff(26322,plain,
% 8.61/6.59 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB119) <=> (~((~v197(constB119)) | (~v201(constB119)))))),
% 8.61/6.59 inference(quant_inst,[status(thm)],[])).
% 8.61/6.59 tff(26323,plain,
% 8.61/6.59 (v200(constB119) <=> (~((~v197(constB119)) | (~v201(constB119))))),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26322, 108])).
% 8.61/6.59 tff(26324,plain,
% 8.61/6.59 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB119) <=> (~((~v159(constB119)) | (~v161(constB119)))))),
% 8.61/6.59 inference(quant_inst,[status(thm)],[])).
% 8.61/6.59 tff(26325,plain,
% 8.61/6.59 (v201(constB119) <=> (~((~v159(constB119)) | (~v161(constB119))))),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26324, 348])).
% 8.61/6.59 tff(26326,plain,
% 8.61/6.59 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB119) <=> v163(constB119))),
% 8.61/6.59 inference(quant_inst,[status(thm)],[])).
% 8.61/6.59 tff(26327,plain,
% 8.61/6.59 (v161(constB119) <=> v163(constB119)),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26326, 357])).
% 8.61/6.59 tff(26328,plain,
% 8.61/6.59 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB119) <=> (v145(constB119) | v167(constB119)))),
% 8.61/6.59 inference(quant_inst,[status(thm)],[])).
% 8.61/6.59 tff(26329,plain,
% 8.61/6.59 (v166(constB119) <=> (v145(constB119) | v167(constB119))),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26328, 369])).
% 8.61/6.59 tff(26330,plain,
% 8.61/6.59 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB119) <=> (v142(constB119) | v168(constB119)))),
% 8.61/6.59 inference(quant_inst,[status(thm)],[])).
% 8.61/6.59 tff(26331,plain,
% 8.61/6.59 (v167(constB119) <=> (v142(constB119) | v168(constB119))),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26330, 381])).
% 8.61/6.59 tff(26332,plain,
% 8.61/6.59 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB119) <=> (v143(constB119) | v144(constB119)))),
% 8.61/6.59 inference(quant_inst,[status(thm)],[])).
% 8.61/6.59 tff(26333,plain,
% 8.61/6.59 (v142(constB119) <=> (v143(constB119) | v144(constB119))),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26332, 10332])).
% 8.61/6.59 tff(26334,plain,
% 8.61/6.59 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB119) <=> (~((~v88(constB119, bitIndex1)) | v88(constB119, bitIndex2) | v88(constB119, bitIndex0))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB119) <=> (~((~v88(constB119, bitIndex1)) | v88(constB119, bitIndex2) | v88(constB119, bitIndex0)))))),
% 8.61/6.59 inference(rewrite,[status(thm)],[])).
% 8.61/6.59 tff(26335,plain,
% 8.61/6.59 ((v143(constB119) <=> (~(v88(constB119, bitIndex0) | v88(constB119, bitIndex2) | (~v88(constB119, bitIndex1))))) <=> (v143(constB119) <=> (~((~v88(constB119, bitIndex1)) | v88(constB119, bitIndex2) | v88(constB119, bitIndex0))))),
% 8.61/6.59 inference(rewrite,[status(thm)],[])).
% 8.61/6.59 tff(26336,plain,
% 8.61/6.59 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB119) <=> (~(v88(constB119, bitIndex0) | v88(constB119, bitIndex2) | (~v88(constB119, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB119) <=> (~((~v88(constB119, bitIndex1)) | v88(constB119, bitIndex2) | v88(constB119, bitIndex0)))))),
% 8.61/6.59 inference(monotonicity,[status(thm)],[26335])).
% 8.61/6.59 tff(26337,plain,
% 8.61/6.59 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB119) <=> (~(v88(constB119, bitIndex0) | v88(constB119, bitIndex2) | (~v88(constB119, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB119) <=> (~((~v88(constB119, bitIndex1)) | v88(constB119, bitIndex2) | v88(constB119, bitIndex0)))))),
% 8.61/6.59 inference(transitivity,[status(thm)],[26336, 26334])).
% 8.61/6.59 tff(26338,plain,
% 8.61/6.59 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB119) <=> (~(v88(constB119, bitIndex0) | v88(constB119, bitIndex2) | (~v88(constB119, bitIndex1)))))),
% 8.61/6.59 inference(quant_inst,[status(thm)],[])).
% 8.61/6.59 tff(26339,plain,
% 8.61/6.59 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB119) <=> (~((~v88(constB119, bitIndex1)) | v88(constB119, bitIndex2) | v88(constB119, bitIndex0))))),
% 8.61/6.59 inference(modus_ponens,[status(thm)],[26338, 26337])).
% 8.61/6.59 tff(26340,plain,
% 8.61/6.59 (v143(constB119) <=> (~((~v88(constB119, bitIndex1)) | v88(constB119, bitIndex2) | v88(constB119, bitIndex0)))),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26339, 14770])).
% 8.61/6.59 tff(26341,plain,
% 8.61/6.59 ((~![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))) | (~(((~v88(constB119, bitIndex1)) <=> v90(constB119, bitIndex1)) | ((~v88(constB119, bitIndex2)) <=> v90(constB119, bitIndex2)) | ((~v88(constB119, bitIndex0)) <=> v90(constB119, bitIndex0))))),
% 8.61/6.59 inference(quant_inst,[status(thm)],[])).
% 8.61/6.59 tff(26342,plain,
% 8.61/6.59 (~(((~v88(constB119, bitIndex1)) <=> v90(constB119, bitIndex1)) | ((~v88(constB119, bitIndex2)) <=> v90(constB119, bitIndex2)) | ((~v88(constB119, bitIndex0)) <=> v90(constB119, bitIndex0)))),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26341, 428])).
% 8.61/6.59 tff(26343,plain,
% 8.61/6.59 ((((~v88(constB119, bitIndex1)) <=> v90(constB119, bitIndex1)) | ((~v88(constB119, bitIndex2)) <=> v90(constB119, bitIndex2)) | ((~v88(constB119, bitIndex0)) <=> v90(constB119, bitIndex0))) | (~((~v88(constB119, bitIndex2)) <=> v90(constB119, bitIndex2)))),
% 8.61/6.59 inference(tautology,[status(thm)],[])).
% 8.61/6.59 tff(26344,plain,
% 8.61/6.59 (~((~v88(constB119, bitIndex2)) <=> v90(constB119, bitIndex2))),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26343, 26342])).
% 8.61/6.59 tff(26345,plain,
% 8.61/6.59 (((~v88(constB119, bitIndex2)) <=> v90(constB119, bitIndex2)) | (~v88(constB119, bitIndex2)) | v90(constB119, bitIndex2)),
% 8.61/6.59 inference(tautology,[status(thm)],[])).
% 8.61/6.59 tff(26346,plain,
% 8.61/6.59 (~v88(constB119, bitIndex2)),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26345, 17867, 26344])).
% 8.61/6.59 tff(26347,plain,
% 8.61/6.59 ((((~v88(constB119, bitIndex1)) <=> v90(constB119, bitIndex1)) | ((~v88(constB119, bitIndex2)) <=> v90(constB119, bitIndex2)) | ((~v88(constB119, bitIndex0)) <=> v90(constB119, bitIndex0))) | (~((~v88(constB119, bitIndex0)) <=> v90(constB119, bitIndex0)))),
% 8.61/6.59 inference(tautology,[status(thm)],[])).
% 8.61/6.59 tff(26348,plain,
% 8.61/6.59 (~((~v88(constB119, bitIndex0)) <=> v90(constB119, bitIndex0))),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26347, 26342])).
% 8.61/6.59 tff(26349,plain,
% 8.61/6.59 (((~v88(constB119, bitIndex0)) <=> v90(constB119, bitIndex0)) | (~v88(constB119, bitIndex0)) | v90(constB119, bitIndex0)),
% 8.61/6.59 inference(tautology,[status(thm)],[])).
% 8.61/6.59 tff(26350,plain,
% 8.61/6.59 (~v88(constB119, bitIndex0)),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26349, 17885, 26348])).
% 8.61/6.59 tff(26351,plain,
% 8.61/6.59 ((((~v88(constB119, bitIndex1)) <=> v90(constB119, bitIndex1)) | ((~v88(constB119, bitIndex2)) <=> v90(constB119, bitIndex2)) | ((~v88(constB119, bitIndex0)) <=> v90(constB119, bitIndex0))) | (~((~v88(constB119, bitIndex1)) <=> v90(constB119, bitIndex1)))),
% 8.61/6.59 inference(tautology,[status(thm)],[])).
% 8.61/6.59 tff(26352,plain,
% 8.61/6.59 (~((~v88(constB119, bitIndex1)) <=> v90(constB119, bitIndex1))),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26351, 26342])).
% 8.61/6.59 tff(26353,plain,
% 8.61/6.59 (((~v88(constB119, bitIndex1)) <=> v90(constB119, bitIndex1)) | v88(constB119, bitIndex1) | (~v90(constB119, bitIndex1))),
% 8.61/6.59 inference(tautology,[status(thm)],[])).
% 8.61/6.59 tff(26354,plain,
% 8.61/6.59 (v88(constB119, bitIndex1)),
% 8.61/6.59 inference(unit_resolution,[status(thm)],[26353, 17903, 26352])).
% 8.61/6.59 tff(26355,plain,
% 8.61/6.59 ((~((~v88(constB119, bitIndex1)) | v88(constB119, bitIndex2) | v88(constB119, bitIndex0))) | (~v88(constB119, bitIndex1)) | v88(constB119, bitIndex2) | v88(constB119, bitIndex0)),
% 8.61/6.60 inference(tautology,[status(thm)],[])).
% 8.61/6.60 tff(26356,plain,
% 8.61/6.60 (~((~v88(constB119, bitIndex1)) | v88(constB119, bitIndex2) | v88(constB119, bitIndex0))),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26355, 26354, 26350, 26346])).
% 8.61/6.60 tff(26357,plain,
% 8.61/6.60 ((~(v143(constB119) <=> (~((~v88(constB119, bitIndex1)) | v88(constB119, bitIndex2) | v88(constB119, bitIndex0))))) | v143(constB119) | ((~v88(constB119, bitIndex1)) | v88(constB119, bitIndex2) | v88(constB119, bitIndex0))),
% 8.61/6.60 inference(tautology,[status(thm)],[])).
% 8.61/6.60 tff(26358,plain,
% 8.61/6.60 (v143(constB119)),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26357, 26356, 26340])).
% 8.61/6.60 tff(26359,plain,
% 8.61/6.60 ((v143(constB119) | v144(constB119)) | (~v143(constB119))),
% 8.61/6.60 inference(tautology,[status(thm)],[])).
% 8.61/6.60 tff(26360,plain,
% 8.61/6.60 (v143(constB119) | v144(constB119)),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26359, 26358])).
% 8.61/6.60 tff(26361,plain,
% 8.61/6.60 ((~(v142(constB119) <=> (v143(constB119) | v144(constB119)))) | v142(constB119) | (~(v143(constB119) | v144(constB119)))),
% 8.61/6.60 inference(tautology,[status(thm)],[])).
% 8.61/6.60 tff(26362,plain,
% 8.61/6.60 (v142(constB119)),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26361, 26360, 26333])).
% 8.61/6.60 tff(26363,plain,
% 8.61/6.60 ((v142(constB119) | v168(constB119)) | (~v142(constB119))),
% 8.61/6.60 inference(tautology,[status(thm)],[])).
% 8.61/6.60 tff(26364,plain,
% 8.61/6.60 (v142(constB119) | v168(constB119)),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26363, 26362])).
% 8.61/6.60 tff(26365,plain,
% 8.61/6.60 ((~(v167(constB119) <=> (v142(constB119) | v168(constB119)))) | v167(constB119) | (~(v142(constB119) | v168(constB119)))),
% 8.61/6.60 inference(tautology,[status(thm)],[])).
% 8.61/6.60 tff(26366,plain,
% 8.61/6.60 ((~(v167(constB119) <=> (v142(constB119) | v168(constB119)))) | v167(constB119)),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26365, 26364])).
% 8.61/6.60 tff(26367,plain,
% 8.61/6.60 (v167(constB119)),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26366, 26331])).
% 8.61/6.60 tff(26368,plain,
% 8.61/6.60 ((v145(constB119) | v167(constB119)) | (~v167(constB119))),
% 8.61/6.60 inference(tautology,[status(thm)],[])).
% 8.61/6.60 tff(26369,plain,
% 8.61/6.60 (v145(constB119) | v167(constB119)),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26368, 26367])).
% 8.61/6.60 tff(26370,plain,
% 8.61/6.60 ((~(v166(constB119) <=> (v145(constB119) | v167(constB119)))) | v166(constB119) | (~(v145(constB119) | v167(constB119)))),
% 8.61/6.60 inference(tautology,[status(thm)],[])).
% 8.61/6.60 tff(26371,plain,
% 8.61/6.60 (v166(constB119)),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26370, 26369, 26329])).
% 8.61/6.60 tff(26372,plain,
% 8.61/6.60 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB119)) | (v163(constB119) <=> v170(constB119)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB119)) | (v163(constB119) <=> v170(constB119)))),
% 8.61/6.60 inference(rewrite,[status(thm)],[])).
% 8.61/6.60 tff(26373,plain,
% 8.61/6.60 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB119)) | (v163(constB119) <=> v170(constB119)))),
% 8.61/6.60 inference(quant_inst,[status(thm)],[])).
% 8.61/6.60 tff(26374,plain,
% 8.61/6.60 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB119)) | (v163(constB119) <=> v170(constB119))),
% 8.61/6.60 inference(modus_ponens,[status(thm)],[26373, 26372])).
% 8.61/6.60 tff(26375,plain,
% 8.61/6.60 ((~v166(constB119)) | (v163(constB119) <=> v170(constB119))),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26374, 9851])).
% 8.61/6.60 tff(26376,plain,
% 8.61/6.60 (v163(constB119) <=> v170(constB119)),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26375, 26371])).
% 8.61/6.60 tff(26377,plain,
% 8.61/6.60 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB119) <=> (v142(constB119) | v150(constB119)))),
% 8.61/6.60 inference(quant_inst,[status(thm)],[])).
% 8.61/6.60 tff(26378,plain,
% 8.61/6.60 (v171(constB119) <=> (v142(constB119) | v150(constB119))),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26377, 9866])).
% 8.61/6.60 tff(26379,plain,
% 8.61/6.60 ((v142(constB119) | v150(constB119)) | (~v142(constB119))),
% 8.61/6.60 inference(tautology,[status(thm)],[])).
% 8.61/6.60 tff(26380,plain,
% 8.61/6.60 (v142(constB119) | v150(constB119)),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26379, 26362])).
% 8.61/6.60 tff(26381,plain,
% 8.61/6.60 ((~(v171(constB119) <=> (v142(constB119) | v150(constB119)))) | v171(constB119) | (~(v142(constB119) | v150(constB119)))),
% 8.61/6.60 inference(tautology,[status(thm)],[])).
% 8.61/6.60 tff(26382,plain,
% 8.61/6.60 ((~(v171(constB119) <=> (v142(constB119) | v150(constB119)))) | v171(constB119)),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26381, 26380])).
% 8.61/6.60 tff(26383,plain,
% 8.61/6.60 (v171(constB119)),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26382, 26378])).
% 8.61/6.60 tff(26384,plain,
% 8.61/6.60 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB119)) | (~v171(constB119)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB119)) | (~v171(constB119)))),
% 8.61/6.60 inference(rewrite,[status(thm)],[])).
% 8.61/6.60 tff(26385,plain,
% 8.61/6.60 (((~v171(constB119)) | (~v170(constB119))) <=> ((~v170(constB119)) | (~v171(constB119)))),
% 8.61/6.60 inference(rewrite,[status(thm)],[])).
% 8.61/6.60 tff(26386,plain,
% 8.61/6.60 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB119)) | (~v170(constB119)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB119)) | (~v171(constB119))))),
% 8.61/6.60 inference(monotonicity,[status(thm)],[26385])).
% 8.61/6.60 tff(26387,plain,
% 8.61/6.60 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB119)) | (~v170(constB119)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB119)) | (~v171(constB119)))),
% 8.61/6.60 inference(transitivity,[status(thm)],[26386, 26384])).
% 8.61/6.60 tff(26388,plain,
% 8.61/6.60 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB119)) | (~v170(constB119)))),
% 8.61/6.60 inference(quant_inst,[status(thm)],[])).
% 8.61/6.60 tff(26389,plain,
% 8.61/6.60 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB119)) | (~v171(constB119))),
% 8.61/6.60 inference(modus_ponens,[status(thm)],[26388, 26387])).
% 8.61/6.60 tff(26390,plain,
% 8.61/6.60 (~v170(constB119)),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26389, 9899, 26383])).
% 8.61/6.60 tff(26391,plain,
% 8.61/6.60 ((~(v163(constB119) <=> v170(constB119))) | (~v163(constB119)) | v170(constB119)),
% 8.61/6.60 inference(tautology,[status(thm)],[])).
% 8.61/6.60 tff(26392,plain,
% 8.61/6.60 (~v163(constB119)),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26391, 26390, 26376])).
% 8.61/6.60 tff(26393,plain,
% 8.61/6.60 ((~(v161(constB119) <=> v163(constB119))) | (~v161(constB119)) | v163(constB119)),
% 8.61/6.60 inference(tautology,[status(thm)],[])).
% 8.61/6.60 tff(26394,plain,
% 8.61/6.60 (~v161(constB119)),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26393, 26392, 26327])).
% 8.61/6.60 tff(26395,plain,
% 8.61/6.60 (((~v159(constB119)) | (~v161(constB119))) | v161(constB119)),
% 8.61/6.60 inference(tautology,[status(thm)],[])).
% 8.61/6.60 tff(26396,plain,
% 8.61/6.60 ((~v159(constB119)) | (~v161(constB119))),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26395, 26394])).
% 8.61/6.60 tff(26397,plain,
% 8.61/6.60 ((~(v201(constB119) <=> (~((~v159(constB119)) | (~v161(constB119)))))) | (~v201(constB119)) | (~((~v159(constB119)) | (~v161(constB119))))),
% 8.61/6.60 inference(tautology,[status(thm)],[])).
% 8.61/6.60 tff(26398,plain,
% 8.61/6.60 (~v201(constB119)),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26397, 26396, 26325])).
% 8.61/6.60 tff(26399,plain,
% 8.61/6.60 (((~v197(constB119)) | (~v201(constB119))) | v201(constB119)),
% 8.61/6.60 inference(tautology,[status(thm)],[])).
% 8.61/6.60 tff(26400,plain,
% 8.61/6.60 ((~v197(constB119)) | (~v201(constB119))),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26399, 26398])).
% 8.61/6.60 tff(26401,plain,
% 8.61/6.60 ((~(v200(constB119) <=> (~((~v197(constB119)) | (~v201(constB119)))))) | (~v200(constB119)) | (~((~v197(constB119)) | (~v201(constB119))))),
% 8.61/6.60 inference(tautology,[status(thm)],[])).
% 8.61/6.60 tff(26402,plain,
% 8.61/6.60 (~v200(constB119)),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26401, 26400, 26323])).
% 8.61/6.60 tff(26403,plain,
% 8.61/6.60 (((~v199(constB119)) | (~v200(constB119))) | v200(constB119)),
% 8.61/6.60 inference(tautology,[status(thm)],[])).
% 8.61/6.60 tff(26404,plain,
% 8.61/6.60 ((~v199(constB119)) | (~v200(constB119))),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26403, 26402])).
% 8.61/6.60 tff(26405,plain,
% 8.61/6.60 ((~(v198(constB119) <=> (~((~v199(constB119)) | (~v200(constB119)))))) | (~v198(constB119)) | (~((~v199(constB119)) | (~v200(constB119))))),
% 8.61/6.60 inference(tautology,[status(thm)],[])).
% 8.61/6.60 tff(26406,plain,
% 8.61/6.60 (~v198(constB119)),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26405, 26404, 26321])).
% 8.61/6.60 tff(26407,plain,
% 8.61/6.60 ((~(v194(constB119) | v198(constB119))) | v194(constB119) | v198(constB119)),
% 8.61/6.60 inference(tautology,[status(thm)],[])).
% 8.61/6.60 tff(26408,plain,
% 8.61/6.60 (~(v194(constB119) | v198(constB119))),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26407, 26406, 26319])).
% 8.61/6.60 tff(26409,plain,
% 8.61/6.60 ((~(v191(constB119) <=> (v194(constB119) | v198(constB119)))) | (~v191(constB119)) | (v194(constB119) | v198(constB119))),
% 8.61/6.60 inference(tautology,[status(thm)],[])).
% 8.61/6.60 tff(26410,plain,
% 8.61/6.60 (~v191(constB119)),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26409, 26408, 26246])).
% 8.61/6.60 tff(26411,plain,
% 8.61/6.60 ((~(v193(constB120) <=> v191(constB119))) | (~v193(constB120)) | v191(constB119)),
% 8.61/6.60 inference(tautology,[status(thm)],[])).
% 8.61/6.60 tff(26412,plain,
% 8.61/6.60 (~v193(constB120)),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26411, 26410, 26244])).
% 8.61/6.60 tff(26413,plain,
% 8.61/6.60 ((~(v157(constB120) <=> v193(constB120))) | (~v157(constB120)) | v193(constB120)),
% 8.61/6.60 inference(tautology,[status(thm)],[])).
% 8.61/6.60 tff(26414,plain,
% 8.61/6.60 (~v157(constB120)),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26413, 26412, 26240])).
% 8.61/6.60 tff(26415,plain,
% 8.61/6.60 (((~v157(constB120)) | (~v195(constB120))) | v157(constB120)),
% 8.61/6.60 inference(tautology,[status(thm)],[])).
% 8.61/6.60 tff(26416,plain,
% 8.61/6.60 ((~v157(constB120)) | (~v195(constB120))),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26415, 26414])).
% 8.61/6.60 tff(26417,plain,
% 8.61/6.60 ((~(v194(constB120) <=> (~((~v157(constB120)) | (~v195(constB120)))))) | (~v194(constB120)) | (~((~v157(constB120)) | (~v195(constB120))))),
% 8.61/6.60 inference(tautology,[status(thm)],[])).
% 8.61/6.60 tff(26418,plain,
% 8.61/6.60 (~v194(constB120)),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26417, 26416, 26238])).
% 8.61/6.60 tff(26419,plain,
% 8.61/6.60 ((~(v194(constB120) | v198(constB120))) | v194(constB120) | v198(constB120)),
% 8.61/6.60 inference(tautology,[status(thm)],[])).
% 8.61/6.60 tff(26420,plain,
% 8.61/6.60 (~(v194(constB120) | v198(constB120))),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26419, 26418, 26231])).
% 8.61/6.60 tff(26421,plain,
% 8.61/6.60 ((~(v191(constB120) <=> (v194(constB120) | v198(constB120)))) | (~v191(constB120)) | (v194(constB120) | v198(constB120))),
% 8.61/6.60 inference(tautology,[status(thm)],[])).
% 8.61/6.60 tff(26422,plain,
% 8.61/6.60 (~v191(constB120)),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26421, 26420, 26206])).
% 8.61/6.60 tff(26423,plain,
% 8.61/6.60 ((~(v193(constB121) <=> v191(constB120))) | (~v193(constB121)) | v191(constB120)),
% 8.61/6.60 inference(tautology,[status(thm)],[])).
% 8.61/6.60 tff(26424,plain,
% 8.61/6.60 (~v193(constB121)),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26423, 26422, 26204])).
% 8.61/6.60 tff(26425,plain,
% 8.61/6.60 ($false),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26424, 26200])).
% 8.61/6.60 tff(26426,plain,(~(constB121 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.61/6.60 tff(26427,assumption,(constB145 = VarCurr!0), introduced(assumption)).
% 8.61/6.60 tff(26428,plain,
% 8.61/6.60 (v86(constB145) <=> v86(VarCurr!0)),
% 8.61/6.60 inference(monotonicity,[status(thm)],[26427])).
% 8.61/6.60 tff(26429,plain,
% 8.61/6.60 (v86(VarCurr!0) <=> v86(constB145)),
% 8.61/6.60 inference(symmetry,[status(thm)],[26428])).
% 8.61/6.60 tff(26430,plain,
% 8.61/6.60 ((~v86(VarCurr!0)) <=> (~v86(constB145))),
% 8.61/6.60 inference(monotonicity,[status(thm)],[26429])).
% 8.61/6.60 tff(26431,plain,
% 8.61/6.60 (~v86(constB145)),
% 8.61/6.60 inference(modus_ponens,[status(thm)],[14736, 26430])).
% 8.61/6.60 tff(26432,plain,
% 8.61/6.60 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB145) <=> (v136(constB145) | v145(constB145)))),
% 8.61/6.60 inference(quant_inst,[status(thm)],[])).
% 8.61/6.60 tff(26433,plain,
% 8.61/6.60 (v135(constB145) <=> (v136(constB145) | v145(constB145))),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26432, 14744])).
% 8.61/6.60 tff(26434,plain,
% 8.61/6.60 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB145) <=> (v137(constB145) | v142(constB145)))),
% 8.61/6.60 inference(quant_inst,[status(thm)],[])).
% 8.61/6.60 tff(26435,plain,
% 8.61/6.60 (v136(constB145) <=> (v137(constB145) | v142(constB145))),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26434, 14753])).
% 8.61/6.60 tff(26436,plain,
% 8.61/6.60 ((v137(constB145) | v142(constB145)) | (~v142(constB145))),
% 8.61/6.60 inference(tautology,[status(thm)],[])).
% 8.61/6.60 tff(26437,plain,
% 8.61/6.60 (v137(constB145) | v142(constB145)),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26436, 26070])).
% 8.61/6.60 tff(26438,plain,
% 8.61/6.60 ((~(v136(constB145) <=> (v137(constB145) | v142(constB145)))) | v136(constB145) | (~(v137(constB145) | v142(constB145)))),
% 8.61/6.60 inference(tautology,[status(thm)],[])).
% 8.61/6.60 tff(26439,plain,
% 8.61/6.60 ((~(v136(constB145) <=> (v137(constB145) | v142(constB145)))) | v136(constB145)),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26438, 26437])).
% 8.61/6.60 tff(26440,plain,
% 8.61/6.60 (v136(constB145)),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26439, 26435])).
% 8.61/6.60 tff(26441,plain,
% 8.61/6.60 ((v136(constB145) | v145(constB145)) | (~v136(constB145))),
% 8.61/6.60 inference(tautology,[status(thm)],[])).
% 8.61/6.60 tff(26442,plain,
% 8.61/6.60 (v136(constB145) | v145(constB145)),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26441, 26440])).
% 8.61/6.60 tff(26443,plain,
% 8.61/6.60 ((~(v135(constB145) <=> (v136(constB145) | v145(constB145)))) | v135(constB145) | (~(v136(constB145) | v145(constB145)))),
% 8.61/6.60 inference(tautology,[status(thm)],[])).
% 8.61/6.60 tff(26444,plain,
% 8.61/6.60 (v135(constB145)),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26443, 26442, 26433])).
% 8.61/6.60 tff(26445,plain,
% 8.61/6.60 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB145)) | (v86(constB145) <=> v148(constB145)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB145)) | (v86(constB145) <=> v148(constB145)))),
% 8.61/6.60 inference(rewrite,[status(thm)],[])).
% 8.61/6.60 tff(26446,plain,
% 8.61/6.60 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB145)) | (v86(constB145) <=> v148(constB145)))),
% 8.61/6.60 inference(quant_inst,[status(thm)],[])).
% 8.61/6.60 tff(26447,plain,
% 8.61/6.60 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB145)) | (v86(constB145) <=> v148(constB145))),
% 8.61/6.60 inference(modus_ponens,[status(thm)],[26446, 26445])).
% 8.61/6.60 tff(26448,plain,
% 8.61/6.60 (v86(constB145) <=> v148(constB145)),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26447, 14818, 26444])).
% 8.61/6.60 tff(26449,plain,
% 8.61/6.60 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB145) | (~v142(constB145)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB145) | (~v142(constB145)))),
% 8.61/6.60 inference(rewrite,[status(thm)],[])).
% 8.61/6.60 tff(26450,plain,
% 8.61/6.60 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB145) | (~v142(constB145)))),
% 8.61/6.60 inference(quant_inst,[status(thm)],[])).
% 8.61/6.60 tff(26451,plain,
% 8.61/6.60 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB145) | (~v142(constB145))),
% 8.61/6.60 inference(modus_ponens,[status(thm)],[26450, 26449])).
% 8.61/6.60 tff(26452,plain,
% 8.61/6.60 (v148(constB145)),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26451, 14832, 26070])).
% 8.61/6.60 tff(26453,plain,
% 8.61/6.60 ((~(v86(constB145) <=> v148(constB145))) | v86(constB145) | (~v148(constB145))),
% 8.61/6.60 inference(tautology,[status(thm)],[])).
% 8.61/6.60 tff(26454,plain,
% 8.61/6.60 ((~(v86(constB145) <=> v148(constB145))) | v86(constB145)),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26453, 26452])).
% 8.61/6.60 tff(26455,plain,
% 8.61/6.60 (v86(constB145)),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26454, 26448])).
% 8.61/6.60 tff(26456,plain,
% 8.61/6.60 ($false),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26455, 26431])).
% 8.61/6.60 tff(26457,plain,(~(constB145 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.61/6.60 tff(26458,assumption,(constB87 = VarCurr!0), introduced(assumption)).
% 8.61/6.60 tff(26459,plain,
% 8.61/6.60 (v193(constB87) <=> v193(VarCurr!0)),
% 8.61/6.60 inference(monotonicity,[status(thm)],[26458])).
% 8.61/6.60 tff(26460,plain,
% 8.61/6.60 (v193(VarCurr!0) <=> v193(constB87)),
% 8.61/6.60 inference(symmetry,[status(thm)],[26459])).
% 8.61/6.60 tff(26461,plain,
% 8.61/6.60 (v193(constB87)),
% 8.61/6.60 inference(modus_ponens,[status(thm)],[59, 26460])).
% 8.61/6.60 tff(26462,plain,
% 8.61/6.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB86, constB87)) | (v193(constB87) <=> v191(constB86)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB86, constB87)) | (v193(constB87) <=> v191(constB86)))),
% 8.61/6.60 inference(rewrite,[status(thm)],[])).
% 8.61/6.60 tff(26463,plain,
% 8.61/6.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB86, constB87)) | (v193(constB87) <=> v191(constB86)))),
% 8.61/6.60 inference(quant_inst,[status(thm)],[])).
% 8.61/6.60 tff(26464,plain,
% 8.61/6.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB86, constB87)) | (v193(constB87) <=> v191(constB86))),
% 8.61/6.60 inference(modus_ponens,[status(thm)],[26463, 26462])).
% 8.61/6.60 tff(26465,plain,
% 8.61/6.60 (v193(constB87) <=> v191(constB86)),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26464, 11257, 70])).
% 8.61/6.60 tff(26466,plain,
% 8.61/6.60 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB86) <=> (v194(constB86) | v198(constB86)))),
% 8.61/6.60 inference(quant_inst,[status(thm)],[])).
% 8.61/6.60 tff(26467,plain,
% 8.61/6.60 (v191(constB86) <=> (v194(constB86) | v198(constB86))),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26466, 84])).
% 8.61/6.60 tff(26468,plain,
% 8.61/6.60 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB86) <=> (~((~v199(constB86)) | (~v200(constB86)))))),
% 8.61/6.60 inference(quant_inst,[status(thm)],[])).
% 8.61/6.60 tff(26469,plain,
% 8.61/6.60 (v198(constB86) <=> (~((~v199(constB86)) | (~v200(constB86))))),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26468, 96])).
% 8.61/6.60 tff(26470,plain,
% 8.61/6.60 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB86) <=> (~((~v197(constB86)) | (~v201(constB86)))))),
% 8.61/6.60 inference(quant_inst,[status(thm)],[])).
% 8.61/6.60 tff(26471,plain,
% 8.61/6.60 (v200(constB86) <=> (~((~v197(constB86)) | (~v201(constB86))))),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26470, 108])).
% 8.61/6.60 tff(26472,plain,
% 8.61/6.60 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB86) <=> (~((~v39(constB86)) | (~v9(constB86)))))),
% 8.61/6.60 inference(quant_inst,[status(thm)],[])).
% 8.61/6.60 tff(26473,plain,
% 8.61/6.60 (v197(constB86) <=> (~((~v39(constB86)) | (~v9(constB86))))),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26472, 120])).
% 8.61/6.60 tff(26474,plain,
% 8.61/6.60 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB86)) <=> v1(constB86))),
% 8.61/6.60 inference(quant_inst,[status(thm)],[])).
% 8.61/6.60 tff(26475,plain,
% 8.61/6.60 ((~v39(constB86)) <=> v1(constB86)),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26474, 129])).
% 8.61/6.60 tff(26476,plain,
% 8.61/6.60 ((~((~v39(constB86)) <=> v1(constB86))) | (~v39(constB86)) | (~v1(constB86))),
% 8.61/6.60 inference(tautology,[status(thm)],[])).
% 8.61/6.60 tff(26477,plain,
% 8.61/6.60 ((~((~v39(constB86)) <=> v1(constB86))) | (~v39(constB86))),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26476, 11810])).
% 8.61/6.60 tff(26478,plain,
% 8.61/6.60 (~v39(constB86)),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26477, 26475])).
% 8.61/6.60 tff(26479,plain,
% 8.61/6.60 (((~v39(constB86)) | (~v9(constB86))) | v39(constB86)),
% 8.61/6.60 inference(tautology,[status(thm)],[])).
% 8.61/6.60 tff(26480,plain,
% 8.61/6.60 ((~v39(constB86)) | (~v9(constB86))),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26479, 26478])).
% 8.61/6.60 tff(26481,plain,
% 8.61/6.60 ((~(v197(constB86) <=> (~((~v39(constB86)) | (~v9(constB86)))))) | (~v197(constB86)) | (~((~v39(constB86)) | (~v9(constB86))))),
% 8.61/6.60 inference(tautology,[status(thm)],[])).
% 8.61/6.60 tff(26482,plain,
% 8.61/6.60 ((~(v197(constB86) <=> (~((~v39(constB86)) | (~v9(constB86)))))) | (~v197(constB86))),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26481, 26480])).
% 8.61/6.60 tff(26483,plain,
% 8.61/6.60 (~v197(constB86)),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26482, 26473])).
% 8.61/6.60 tff(26484,plain,
% 8.61/6.60 (((~v197(constB86)) | (~v201(constB86))) | v197(constB86)),
% 8.61/6.60 inference(tautology,[status(thm)],[])).
% 8.61/6.60 tff(26485,plain,
% 8.61/6.60 ((~v197(constB86)) | (~v201(constB86))),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26484, 26483])).
% 8.61/6.60 tff(26486,plain,
% 8.61/6.60 ((~(v200(constB86) <=> (~((~v197(constB86)) | (~v201(constB86)))))) | (~v200(constB86)) | (~((~v197(constB86)) | (~v201(constB86))))),
% 8.61/6.60 inference(tautology,[status(thm)],[])).
% 8.61/6.60 tff(26487,plain,
% 8.61/6.60 ((~(v200(constB86) <=> (~((~v197(constB86)) | (~v201(constB86)))))) | (~v200(constB86))),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26486, 26485])).
% 8.61/6.60 tff(26488,plain,
% 8.61/6.60 (~v200(constB86)),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26487, 26471])).
% 8.61/6.60 tff(26489,plain,
% 8.61/6.60 (((~v199(constB86)) | (~v200(constB86))) | v200(constB86)),
% 8.61/6.60 inference(tautology,[status(thm)],[])).
% 8.61/6.60 tff(26490,plain,
% 8.61/6.60 ((~v199(constB86)) | (~v200(constB86))),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26489, 26488])).
% 8.61/6.60 tff(26491,plain,
% 8.61/6.60 ((~(v198(constB86) <=> (~((~v199(constB86)) | (~v200(constB86)))))) | (~v198(constB86)) | (~((~v199(constB86)) | (~v200(constB86))))),
% 8.61/6.60 inference(tautology,[status(thm)],[])).
% 8.61/6.60 tff(26492,plain,
% 8.61/6.60 (~v198(constB86)),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26491, 26490, 26469])).
% 8.61/6.60 tff(26493,plain,
% 8.61/6.60 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB86) <=> (~((~v157(constB86)) | (~v195(constB86)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB86) <=> (~((~v157(constB86)) | (~v195(constB86))))))),
% 8.61/6.60 inference(rewrite,[status(thm)],[])).
% 8.61/6.60 tff(26494,plain,
% 8.61/6.60 ((v194(constB86) <=> (~((~v195(constB86)) | (~v157(constB86))))) <=> (v194(constB86) <=> (~((~v157(constB86)) | (~v195(constB86)))))),
% 8.61/6.60 inference(rewrite,[status(thm)],[])).
% 8.61/6.60 tff(26495,plain,
% 8.61/6.60 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB86) <=> (~((~v195(constB86)) | (~v157(constB86)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB86) <=> (~((~v157(constB86)) | (~v195(constB86))))))),
% 8.61/6.60 inference(monotonicity,[status(thm)],[26494])).
% 8.61/6.60 tff(26496,plain,
% 8.61/6.60 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB86) <=> (~((~v195(constB86)) | (~v157(constB86)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB86) <=> (~((~v157(constB86)) | (~v195(constB86))))))),
% 8.61/6.60 inference(transitivity,[status(thm)],[26495, 26493])).
% 8.61/6.60 tff(26497,plain,
% 8.61/6.60 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB86) <=> (~((~v195(constB86)) | (~v157(constB86)))))),
% 8.61/6.60 inference(quant_inst,[status(thm)],[])).
% 8.61/6.60 tff(26498,plain,
% 8.61/6.60 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB86) <=> (~((~v157(constB86)) | (~v195(constB86)))))),
% 8.61/6.60 inference(modus_ponens,[status(thm)],[26497, 26496])).
% 8.61/6.60 tff(26499,plain,
% 8.61/6.60 (v194(constB86) <=> (~((~v157(constB86)) | (~v195(constB86))))),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26498, 161])).
% 8.61/6.60 tff(26500,plain,
% 8.61/6.60 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB86) <=> v193(constB86))),
% 8.61/6.60 inference(quant_inst,[status(thm)],[])).
% 8.61/6.60 tff(26501,plain,
% 8.61/6.60 (v157(constB86) <=> v193(constB86)),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26500, 13])).
% 8.61/6.60 tff(26502,plain,
% 8.61/6.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB85, constB86)) | (v193(constB86) <=> v191(constB85)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB85, constB86)) | (v193(constB86) <=> v191(constB85)))),
% 8.61/6.60 inference(rewrite,[status(thm)],[])).
% 8.61/6.60 tff(26503,plain,
% 8.61/6.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB85, constB86)) | (v193(constB86) <=> v191(constB85)))),
% 8.61/6.60 inference(quant_inst,[status(thm)],[])).
% 8.61/6.60 tff(26504,plain,
% 8.61/6.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB85, constB86)) | (v193(constB86) <=> v191(constB85))),
% 8.61/6.60 inference(modus_ponens,[status(thm)],[26503, 26502])).
% 8.61/6.60 tff(26505,plain,
% 8.61/6.60 (v193(constB86) <=> v191(constB85)),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26504, 11293, 70])).
% 8.61/6.60 tff(26506,plain,
% 8.61/6.60 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB85) <=> (v194(constB85) | v198(constB85)))),
% 8.61/6.60 inference(quant_inst,[status(thm)],[])).
% 8.61/6.60 tff(26507,plain,
% 8.61/6.60 (v191(constB85) <=> (v194(constB85) | v198(constB85))),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26506, 84])).
% 8.61/6.60 tff(26508,plain,
% 8.61/6.60 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB85) <=> (~((~v157(constB85)) | (~v195(constB85)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB85) <=> (~((~v157(constB85)) | (~v195(constB85))))))),
% 8.61/6.60 inference(rewrite,[status(thm)],[])).
% 8.61/6.60 tff(26509,plain,
% 8.61/6.60 ((v194(constB85) <=> (~((~v195(constB85)) | (~v157(constB85))))) <=> (v194(constB85) <=> (~((~v157(constB85)) | (~v195(constB85)))))),
% 8.61/6.60 inference(rewrite,[status(thm)],[])).
% 8.61/6.60 tff(26510,plain,
% 8.61/6.60 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB85) <=> (~((~v195(constB85)) | (~v157(constB85)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB85) <=> (~((~v157(constB85)) | (~v195(constB85))))))),
% 8.61/6.60 inference(monotonicity,[status(thm)],[26509])).
% 8.61/6.60 tff(26511,plain,
% 8.61/6.60 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB85) <=> (~((~v195(constB85)) | (~v157(constB85)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB85) <=> (~((~v157(constB85)) | (~v195(constB85))))))),
% 8.61/6.60 inference(transitivity,[status(thm)],[26510, 26508])).
% 8.61/6.60 tff(26512,plain,
% 8.61/6.60 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB85) <=> (~((~v195(constB85)) | (~v157(constB85)))))),
% 8.61/6.60 inference(quant_inst,[status(thm)],[])).
% 8.61/6.60 tff(26513,plain,
% 8.61/6.60 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB85) <=> (~((~v157(constB85)) | (~v195(constB85)))))),
% 8.61/6.60 inference(modus_ponens,[status(thm)],[26512, 26511])).
% 8.61/6.60 tff(26514,plain,
% 8.61/6.60 (v194(constB85) <=> (~((~v157(constB85)) | (~v195(constB85))))),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26513, 161])).
% 8.61/6.60 tff(26515,plain,
% 8.61/6.60 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB85)) <=> v196(constB85))),
% 8.61/6.60 inference(quant_inst,[status(thm)],[])).
% 8.61/6.60 tff(26516,plain,
% 8.61/6.60 ((~v195(constB85)) <=> v196(constB85)),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26515, 193])).
% 8.61/6.60 tff(26517,plain,
% 8.61/6.60 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB85) <=> (v197(constB85) | v26(constB85)))),
% 8.61/6.60 inference(quant_inst,[status(thm)],[])).
% 8.61/6.60 tff(26518,plain,
% 8.61/6.60 (v196(constB85) <=> (v197(constB85) | v26(constB85))),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26517, 202])).
% 8.61/6.60 tff(26519,plain,
% 8.61/6.60 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB85) <=> (~((~v39(constB85)) | (~v9(constB85)))))),
% 8.61/6.60 inference(quant_inst,[status(thm)],[])).
% 8.61/6.60 tff(26520,plain,
% 8.61/6.60 (v197(constB85) <=> (~((~v39(constB85)) | (~v9(constB85))))),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26519, 120])).
% 8.61/6.60 tff(26521,plain,
% 8.61/6.60 (((~![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)))),
% 8.61/6.60 inference(rewrite,[status(thm)],[])).
% 8.61/6.60 tff(26522,plain,
% 8.61/6.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB85, constB86)) | (v13(constB86) <=> v9(constB85)))),
% 8.61/6.60 inference(quant_inst,[status(thm)],[])).
% 8.61/6.60 tff(26523,plain,
% 8.61/6.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB85, constB86)) | (v13(constB86) <=> v9(constB85))),
% 8.61/6.60 inference(modus_ponens,[status(thm)],[26522, 26521])).
% 8.61/6.60 tff(26524,plain,
% 8.61/6.60 (v13(constB86) <=> v9(constB85)),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26523, 11293, 216])).
% 8.61/6.60 tff(26525,plain,
% 8.61/6.60 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB86) <=> v13(constB86))),
% 8.61/6.60 inference(quant_inst,[status(thm)],[])).
% 8.61/6.60 tff(26526,plain,
% 8.61/6.60 (v6(constB86) <=> v13(constB86)),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26525, 230])).
% 8.61/6.60 tff(26527,plain,
% 8.61/6.60 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB86)) <=> v6(constB86))),
% 8.61/6.60 inference(quant_inst,[status(thm)],[])).
% 8.61/6.60 tff(26528,plain,
% 8.61/6.60 ((~v21(constB86)) <=> v6(constB86)),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26527, 239])).
% 8.61/6.60 tff(26529,plain,
% 8.61/6.60 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB86) <=> (v20(constB86) | v21(constB86)))),
% 8.61/6.60 inference(quant_inst,[status(thm)],[])).
% 8.61/6.60 tff(26530,plain,
% 8.61/6.60 (v19(constB86) <=> (v20(constB86) | v21(constB86))),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26529, 248])).
% 8.61/6.60 tff(26531,plain,
% 8.61/6.60 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB86) <=> (~((~v19(constB86)) | (~v22(constB86)))))),
% 8.61/6.60 inference(quant_inst,[status(thm)],[])).
% 8.61/6.60 tff(26532,plain,
% 8.61/6.60 (v18(constB86) <=> (~((~v19(constB86)) | (~v22(constB86))))),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26531, 260])).
% 8.61/6.60 tff(26533,plain,
% 8.61/6.60 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB86)) <=> v18(constB86))),
% 8.61/6.60 inference(quant_inst,[status(thm)],[])).
% 8.61/6.60 tff(26534,plain,
% 8.61/6.60 ((~v4(constB86)) <=> v18(constB86)),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26533, 269])).
% 8.61/6.60 tff(26535,plain,
% 8.61/6.60 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB86)),
% 8.61/6.60 inference(quant_inst,[status(thm)],[])).
% 8.61/6.60 tff(26536,plain,
% 8.61/6.60 (v4(constB86)),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26535, 278])).
% 8.61/6.60 tff(26537,plain,
% 8.61/6.60 ((~((~v4(constB86)) <=> v18(constB86))) | (~v4(constB86)) | (~v18(constB86))),
% 8.61/6.60 inference(tautology,[status(thm)],[])).
% 8.61/6.60 tff(26538,plain,
% 8.61/6.60 (~v18(constB86)),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26537, 26536, 26534])).
% 8.61/6.60 tff(26539,plain,
% 8.61/6.60 ((~(v18(constB86) <=> (~((~v19(constB86)) | (~v22(constB86)))))) | v18(constB86) | ((~v19(constB86)) | (~v22(constB86)))),
% 8.61/6.60 inference(tautology,[status(thm)],[])).
% 8.61/6.60 tff(26540,plain,
% 8.61/6.60 ((~v19(constB86)) | (~v22(constB86))),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26539, 26538, 26532])).
% 8.61/6.60 tff(26541,plain,
% 8.61/6.60 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB86) <=> (v1(constB86) | v6(constB86)))),
% 8.61/6.60 inference(quant_inst,[status(thm)],[])).
% 8.61/6.60 tff(26542,plain,
% 8.61/6.60 (v22(constB86) <=> (v1(constB86) | v6(constB86))),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26541, 291])).
% 8.61/6.60 tff(26543,plain,
% 8.61/6.60 ((v1(constB86) | v6(constB86)) | (~v1(constB86))),
% 8.61/6.60 inference(tautology,[status(thm)],[])).
% 8.61/6.60 tff(26544,plain,
% 8.61/6.60 (v1(constB86) | v6(constB86)),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26543, 11810])).
% 8.61/6.60 tff(26545,plain,
% 8.61/6.60 ((~(v22(constB86) <=> (v1(constB86) | v6(constB86)))) | v22(constB86) | (~(v1(constB86) | v6(constB86)))),
% 8.61/6.60 inference(tautology,[status(thm)],[])).
% 8.61/6.60 tff(26546,plain,
% 8.61/6.60 ((~(v22(constB86) <=> (v1(constB86) | v6(constB86)))) | v22(constB86)),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26545, 26544])).
% 8.61/6.60 tff(26547,plain,
% 8.61/6.60 (v22(constB86)),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26546, 26542])).
% 8.61/6.60 tff(26548,plain,
% 8.61/6.60 ((~((~v19(constB86)) | (~v22(constB86)))) | (~v19(constB86)) | (~v22(constB86))),
% 8.61/6.60 inference(tautology,[status(thm)],[])).
% 8.61/6.60 tff(26549,plain,
% 8.61/6.60 ((~((~v19(constB86)) | (~v22(constB86)))) | (~v19(constB86))),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26548, 26547])).
% 8.61/6.60 tff(26550,plain,
% 8.61/6.60 (~v19(constB86)),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26549, 26540])).
% 8.61/6.60 tff(26551,plain,
% 8.61/6.60 ((~(v19(constB86) <=> (v20(constB86) | v21(constB86)))) | v19(constB86) | (~(v20(constB86) | v21(constB86)))),
% 8.61/6.60 inference(tautology,[status(thm)],[])).
% 8.61/6.60 tff(26552,plain,
% 8.61/6.60 (~(v20(constB86) | v21(constB86))),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26551, 26550, 26530])).
% 8.61/6.60 tff(26553,plain,
% 8.61/6.60 ((v20(constB86) | v21(constB86)) | (~v21(constB86))),
% 8.61/6.60 inference(tautology,[status(thm)],[])).
% 8.61/6.60 tff(26554,plain,
% 8.61/6.60 (~v21(constB86)),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26553, 26552])).
% 8.61/6.60 tff(26555,plain,
% 8.61/6.60 ((~((~v21(constB86)) <=> v6(constB86))) | v21(constB86) | v6(constB86)),
% 8.61/6.60 inference(tautology,[status(thm)],[])).
% 8.61/6.60 tff(26556,plain,
% 8.61/6.60 (v6(constB86)),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26555, 26554, 26528])).
% 8.61/6.60 tff(26557,plain,
% 8.61/6.60 ((~(v6(constB86) <=> v13(constB86))) | (~v6(constB86)) | v13(constB86)),
% 8.61/6.60 inference(tautology,[status(thm)],[])).
% 8.61/6.60 tff(26558,plain,
% 8.61/6.60 (v13(constB86)),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26557, 26556, 26526])).
% 8.61/6.60 tff(26559,plain,
% 8.61/6.60 ((~(v13(constB86) <=> v9(constB85))) | (~v13(constB86)) | v9(constB85)),
% 8.61/6.60 inference(tautology,[status(thm)],[])).
% 8.61/6.60 tff(26560,plain,
% 8.61/6.60 (v9(constB85)),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26559, 26558, 26524])).
% 8.61/6.60 tff(26561,plain,
% 8.61/6.60 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB85)) <=> v1(constB85))),
% 8.61/6.60 inference(quant_inst,[status(thm)],[])).
% 8.61/6.60 tff(26562,plain,
% 8.61/6.60 ((~v39(constB85)) <=> v1(constB85)),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26561, 129])).
% 8.61/6.60 tff(26563,plain,
% 8.61/6.60 ((~((~v39(constB85)) <=> v1(constB85))) | v39(constB85) | v1(constB85)),
% 8.61/6.60 inference(tautology,[status(thm)],[])).
% 8.61/6.60 tff(26564,plain,
% 8.61/6.60 ((~((~v39(constB85)) <=> v1(constB85))) | v39(constB85)),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26563, 11332])).
% 8.61/6.60 tff(26565,plain,
% 8.61/6.60 (v39(constB85)),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26564, 26562])).
% 8.61/6.60 tff(26566,plain,
% 8.61/6.60 ((~((~v39(constB85)) | (~v9(constB85)))) | (~v39(constB85)) | (~v9(constB85))),
% 8.61/6.60 inference(tautology,[status(thm)],[])).
% 8.61/6.60 tff(26567,plain,
% 8.61/6.60 ((~((~v39(constB85)) | (~v9(constB85)))) | (~v9(constB85))),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26566, 26565])).
% 8.61/6.60 tff(26568,plain,
% 8.61/6.60 (~((~v39(constB85)) | (~v9(constB85)))),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26567, 26560])).
% 8.61/6.60 tff(26569,plain,
% 8.61/6.60 ((~(v197(constB85) <=> (~((~v39(constB85)) | (~v9(constB85)))))) | v197(constB85) | ((~v39(constB85)) | (~v9(constB85)))),
% 8.61/6.60 inference(tautology,[status(thm)],[])).
% 8.61/6.60 tff(26570,plain,
% 8.61/6.60 (v197(constB85)),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26569, 26568, 26520])).
% 8.61/6.60 tff(26571,plain,
% 8.61/6.60 ((v197(constB85) | v26(constB85)) | (~v197(constB85))),
% 8.61/6.60 inference(tautology,[status(thm)],[])).
% 8.61/6.60 tff(26572,plain,
% 8.61/6.60 (v197(constB85) | v26(constB85)),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26571, 26570])).
% 8.61/6.60 tff(26573,plain,
% 8.61/6.60 ((~(v196(constB85) <=> (v197(constB85) | v26(constB85)))) | v196(constB85) | (~(v197(constB85) | v26(constB85)))),
% 8.61/6.60 inference(tautology,[status(thm)],[])).
% 8.61/6.60 tff(26574,plain,
% 8.61/6.60 (v196(constB85)),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26573, 26572, 26518])).
% 8.61/6.60 tff(26575,plain,
% 8.61/6.60 ((~((~v195(constB85)) <=> v196(constB85))) | (~v195(constB85)) | (~v196(constB85))),
% 8.61/6.60 inference(tautology,[status(thm)],[])).
% 8.61/6.60 tff(26576,plain,
% 8.61/6.60 (~v195(constB85)),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26575, 26574, 26516])).
% 8.61/6.60 tff(26577,plain,
% 8.61/6.60 (((~v157(constB85)) | (~v195(constB85))) | v195(constB85)),
% 8.61/6.60 inference(tautology,[status(thm)],[])).
% 8.61/6.60 tff(26578,plain,
% 8.61/6.60 ((~v157(constB85)) | (~v195(constB85))),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26577, 26576])).
% 8.61/6.60 tff(26579,plain,
% 8.61/6.60 ((~(v194(constB85) <=> (~((~v157(constB85)) | (~v195(constB85)))))) | (~v194(constB85)) | (~((~v157(constB85)) | (~v195(constB85))))),
% 8.61/6.60 inference(tautology,[status(thm)],[])).
% 8.61/6.60 tff(26580,plain,
% 8.61/6.60 (~v194(constB85)),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26579, 26578, 26514])).
% 8.61/6.60 tff(26581,plain,
% 8.61/6.60 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB85) <=> (~((~v199(constB85)) | (~v200(constB85)))))),
% 8.61/6.60 inference(quant_inst,[status(thm)],[])).
% 8.61/6.60 tff(26582,plain,
% 8.61/6.60 (v198(constB85) <=> (~((~v199(constB85)) | (~v200(constB85))))),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26581, 96])).
% 8.61/6.60 tff(26583,plain,
% 8.61/6.60 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB85) <=> (~((~v197(constB85)) | (~v201(constB85)))))),
% 8.61/6.60 inference(quant_inst,[status(thm)],[])).
% 8.61/6.60 tff(26584,plain,
% 8.61/6.60 (v200(constB85) <=> (~((~v197(constB85)) | (~v201(constB85))))),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26583, 108])).
% 8.61/6.60 tff(26585,plain,
% 8.61/6.60 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB85) <=> (~((~v159(constB85)) | (~v161(constB85)))))),
% 8.61/6.60 inference(quant_inst,[status(thm)],[])).
% 8.61/6.60 tff(26586,plain,
% 8.61/6.60 (v201(constB85) <=> (~((~v159(constB85)) | (~v161(constB85))))),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26585, 348])).
% 8.61/6.60 tff(26587,plain,
% 8.61/6.60 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB85) <=> v163(constB85))),
% 8.61/6.60 inference(quant_inst,[status(thm)],[])).
% 8.61/6.60 tff(26588,plain,
% 8.61/6.60 (v161(constB85) <=> v163(constB85)),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26587, 357])).
% 8.61/6.60 tff(26589,plain,
% 8.61/6.60 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB85) <=> (v145(constB85) | v167(constB85)))),
% 8.61/6.60 inference(quant_inst,[status(thm)],[])).
% 8.61/6.60 tff(26590,plain,
% 8.61/6.60 (v166(constB85) <=> (v145(constB85) | v167(constB85))),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26589, 369])).
% 8.61/6.60 tff(26591,plain,
% 8.61/6.60 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB85) <=> (v142(constB85) | v168(constB85)))),
% 8.61/6.60 inference(quant_inst,[status(thm)],[])).
% 8.61/6.60 tff(26592,plain,
% 8.61/6.60 (v167(constB85) <=> (v142(constB85) | v168(constB85))),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26591, 381])).
% 8.61/6.60 tff(26593,plain,
% 8.61/6.60 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB85) <=> (v143(constB85) | v144(constB85)))),
% 8.61/6.60 inference(quant_inst,[status(thm)],[])).
% 8.61/6.60 tff(26594,plain,
% 8.61/6.60 (v142(constB85) <=> (v143(constB85) | v144(constB85))),
% 8.61/6.60 inference(unit_resolution,[status(thm)],[26593, 10332])).
% 8.61/6.60 tff(26595,plain,
% 8.61/6.60 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB85) <=> (~((~v88(constB85, bitIndex1)) | (~v88(constB85, bitIndex2)) | v88(constB85, bitIndex0))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB85) <=> (~((~v88(constB85, bitIndex1)) | (~v88(constB85, bitIndex2)) | v88(constB85, bitIndex0)))))),
% 8.61/6.60 inference(rewrite,[status(thm)],[])).
% 8.61/6.60 tff(26596,plain,
% 8.61/6.60 ((v144(constB85) <=> (~(v88(constB85, bitIndex0) | (~v88(constB85, bitIndex1)) | (~v88(constB85, bitIndex2))))) <=> (v144(constB85) <=> (~((~v88(constB85, bitIndex1)) | (~v88(constB85, bitIndex2)) | v88(constB85, bitIndex0))))),
% 8.61/6.60 inference(rewrite,[status(thm)],[])).
% 8.61/6.60 tff(26597,plain,
% 8.61/6.60 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB85) <=> (~(v88(constB85, bitIndex0) | (~v88(constB85, bitIndex1)) | (~v88(constB85, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB85) <=> (~((~v88(constB85, bitIndex1)) | (~v88(constB85, bitIndex2)) | v88(constB85, bitIndex0)))))),
% 8.61/6.60 inference(monotonicity,[status(thm)],[26596])).
% 8.61/6.60 tff(26598,plain,
% 8.61/6.60 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB85) <=> (~(v88(constB85, bitIndex0) | (~v88(constB85, bitIndex1)) | (~v88(constB85, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB85) <=> (~((~v88(constB85, bitIndex1)) | (~v88(constB85, bitIndex2)) | v88(constB85, bitIndex0)))))),
% 8.61/6.60 inference(transitivity,[status(thm)],[26597, 26595])).
% 8.61/6.60 tff(26599,plain,
% 8.61/6.60 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB85) <=> (~(v88(constB85, bitIndex0) | (~v88(constB85, bitIndex1)) | (~v88(constB85, bitIndex2)))))),
% 8.61/6.60 inference(quant_inst,[status(thm)],[])).
% 8.61/6.60 tff(26600,plain,
% 8.61/6.60 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB85) <=> (~((~v88(constB85, bitIndex1)) | (~v88(constB85, bitIndex2)) | v88(constB85, bitIndex0))))),
% 8.61/6.61 inference(modus_ponens,[status(thm)],[26599, 26598])).
% 8.61/6.61 tff(26601,plain,
% 8.61/6.61 (v144(constB85) <=> (~((~v88(constB85, bitIndex1)) | (~v88(constB85, bitIndex2)) | v88(constB85, bitIndex0)))),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26600, 10347])).
% 8.61/6.61 tff(26602,plain,
% 8.61/6.61 ((~![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))) | (~(((~v88(constB85, bitIndex1)) <=> v90(constB85, bitIndex1)) | ((~v88(constB85, bitIndex2)) <=> v90(constB85, bitIndex2)) | ((~v88(constB85, bitIndex0)) <=> v90(constB85, bitIndex0))))),
% 8.61/6.61 inference(quant_inst,[status(thm)],[])).
% 8.61/6.61 tff(26603,plain,
% 8.61/6.61 (~(((~v88(constB85, bitIndex1)) <=> v90(constB85, bitIndex1)) | ((~v88(constB85, bitIndex2)) <=> v90(constB85, bitIndex2)) | ((~v88(constB85, bitIndex0)) <=> v90(constB85, bitIndex0)))),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26602, 428])).
% 8.61/6.61 tff(26604,plain,
% 8.61/6.61 ((((~v88(constB85, bitIndex1)) <=> v90(constB85, bitIndex1)) | ((~v88(constB85, bitIndex2)) <=> v90(constB85, bitIndex2)) | ((~v88(constB85, bitIndex0)) <=> v90(constB85, bitIndex0))) | (~((~v88(constB85, bitIndex2)) <=> v90(constB85, bitIndex2)))),
% 8.61/6.61 inference(tautology,[status(thm)],[])).
% 8.61/6.61 tff(26605,plain,
% 8.61/6.61 (~((~v88(constB85, bitIndex2)) <=> v90(constB85, bitIndex2))),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26604, 26603])).
% 8.61/6.61 tff(26606,plain,
% 8.61/6.61 (((~v88(constB85, bitIndex2)) <=> v90(constB85, bitIndex2)) | v88(constB85, bitIndex2) | (~v90(constB85, bitIndex2))),
% 8.61/6.61 inference(tautology,[status(thm)],[])).
% 8.61/6.61 tff(26607,plain,
% 8.61/6.61 (v88(constB85, bitIndex2)),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26606, 11694, 26605])).
% 8.61/6.61 tff(26608,plain,
% 8.61/6.61 ((((~v88(constB85, bitIndex1)) <=> v90(constB85, bitIndex1)) | ((~v88(constB85, bitIndex2)) <=> v90(constB85, bitIndex2)) | ((~v88(constB85, bitIndex0)) <=> v90(constB85, bitIndex0))) | (~((~v88(constB85, bitIndex0)) <=> v90(constB85, bitIndex0)))),
% 8.61/6.61 inference(tautology,[status(thm)],[])).
% 8.61/6.61 tff(26609,plain,
% 8.61/6.61 (~((~v88(constB85, bitIndex0)) <=> v90(constB85, bitIndex0))),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26608, 26603])).
% 8.61/6.61 tff(26610,plain,
% 8.61/6.61 (((~v88(constB85, bitIndex0)) <=> v90(constB85, bitIndex0)) | (~v88(constB85, bitIndex0)) | v90(constB85, bitIndex0)),
% 8.61/6.61 inference(tautology,[status(thm)],[])).
% 8.61/6.61 tff(26611,plain,
% 8.61/6.61 (~v88(constB85, bitIndex0)),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26610, 11845, 26609])).
% 8.61/6.61 tff(26612,plain,
% 8.61/6.61 ((((~v88(constB85, bitIndex1)) <=> v90(constB85, bitIndex1)) | ((~v88(constB85, bitIndex2)) <=> v90(constB85, bitIndex2)) | ((~v88(constB85, bitIndex0)) <=> v90(constB85, bitIndex0))) | (~((~v88(constB85, bitIndex1)) <=> v90(constB85, bitIndex1)))),
% 8.61/6.61 inference(tautology,[status(thm)],[])).
% 8.61/6.61 tff(26613,plain,
% 8.61/6.61 (~((~v88(constB85, bitIndex1)) <=> v90(constB85, bitIndex1))),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26612, 26603])).
% 8.61/6.61 tff(26614,plain,
% 8.61/6.61 (((~v88(constB85, bitIndex1)) <=> v90(constB85, bitIndex1)) | v88(constB85, bitIndex1) | (~v90(constB85, bitIndex1))),
% 8.61/6.61 inference(tautology,[status(thm)],[])).
% 8.61/6.61 tff(26615,plain,
% 8.61/6.61 (v88(constB85, bitIndex1)),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26614, 11723, 26613])).
% 8.61/6.61 tff(26616,plain,
% 8.61/6.61 ((~((~v88(constB85, bitIndex1)) | (~v88(constB85, bitIndex2)) | v88(constB85, bitIndex0))) | (~v88(constB85, bitIndex1)) | (~v88(constB85, bitIndex2)) | v88(constB85, bitIndex0)),
% 8.61/6.61 inference(tautology,[status(thm)],[])).
% 8.61/6.61 tff(26617,plain,
% 8.61/6.61 (~((~v88(constB85, bitIndex1)) | (~v88(constB85, bitIndex2)) | v88(constB85, bitIndex0))),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26616, 26615, 26611, 26607])).
% 8.61/6.61 tff(26618,plain,
% 8.61/6.61 ((~(v144(constB85) <=> (~((~v88(constB85, bitIndex1)) | (~v88(constB85, bitIndex2)) | v88(constB85, bitIndex0))))) | v144(constB85) | ((~v88(constB85, bitIndex1)) | (~v88(constB85, bitIndex2)) | v88(constB85, bitIndex0))),
% 8.61/6.61 inference(tautology,[status(thm)],[])).
% 8.61/6.61 tff(26619,plain,
% 8.61/6.61 (v144(constB85)),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26618, 26617, 26601])).
% 8.61/6.61 tff(26620,plain,
% 8.61/6.61 ((v143(constB85) | v144(constB85)) | (~v144(constB85))),
% 8.61/6.61 inference(tautology,[status(thm)],[])).
% 8.61/6.61 tff(26621,plain,
% 8.61/6.61 (v143(constB85) | v144(constB85)),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26620, 26619])).
% 8.61/6.61 tff(26622,plain,
% 8.61/6.61 ((~(v142(constB85) <=> (v143(constB85) | v144(constB85)))) | v142(constB85) | (~(v143(constB85) | v144(constB85)))),
% 8.61/6.61 inference(tautology,[status(thm)],[])).
% 8.61/6.61 tff(26623,plain,
% 8.61/6.61 (v142(constB85)),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26622, 26621, 26594])).
% 8.61/6.61 tff(26624,plain,
% 8.61/6.61 ((v142(constB85) | v168(constB85)) | (~v142(constB85))),
% 8.61/6.61 inference(tautology,[status(thm)],[])).
% 8.61/6.61 tff(26625,plain,
% 8.61/6.61 (v142(constB85) | v168(constB85)),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26624, 26623])).
% 8.61/6.61 tff(26626,plain,
% 8.61/6.61 ((~(v167(constB85) <=> (v142(constB85) | v168(constB85)))) | v167(constB85) | (~(v142(constB85) | v168(constB85)))),
% 8.61/6.61 inference(tautology,[status(thm)],[])).
% 8.61/6.61 tff(26627,plain,
% 8.61/6.61 ((~(v167(constB85) <=> (v142(constB85) | v168(constB85)))) | v167(constB85)),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26626, 26625])).
% 8.61/6.61 tff(26628,plain,
% 8.61/6.61 (v167(constB85)),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26627, 26592])).
% 8.61/6.61 tff(26629,plain,
% 8.61/6.61 ((v145(constB85) | v167(constB85)) | (~v167(constB85))),
% 8.61/6.61 inference(tautology,[status(thm)],[])).
% 8.61/6.61 tff(26630,plain,
% 8.61/6.61 (v145(constB85) | v167(constB85)),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26629, 26628])).
% 8.61/6.61 tff(26631,plain,
% 8.61/6.61 ((~(v166(constB85) <=> (v145(constB85) | v167(constB85)))) | v166(constB85) | (~(v145(constB85) | v167(constB85)))),
% 8.61/6.61 inference(tautology,[status(thm)],[])).
% 8.61/6.61 tff(26632,plain,
% 8.61/6.61 (v166(constB85)),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26631, 26630, 26590])).
% 8.61/6.61 tff(26633,plain,
% 8.61/6.61 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB85)) | (v163(constB85) <=> v170(constB85)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB85)) | (v163(constB85) <=> v170(constB85)))),
% 8.61/6.61 inference(rewrite,[status(thm)],[])).
% 8.61/6.61 tff(26634,plain,
% 8.61/6.61 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB85)) | (v163(constB85) <=> v170(constB85)))),
% 8.61/6.61 inference(quant_inst,[status(thm)],[])).
% 8.61/6.61 tff(26635,plain,
% 8.61/6.61 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB85)) | (v163(constB85) <=> v170(constB85))),
% 8.61/6.61 inference(modus_ponens,[status(thm)],[26634, 26633])).
% 8.61/6.61 tff(26636,plain,
% 8.61/6.61 ((~v166(constB85)) | (v163(constB85) <=> v170(constB85))),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26635, 9851])).
% 8.61/6.61 tff(26637,plain,
% 8.61/6.61 (v163(constB85) <=> v170(constB85)),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26636, 26632])).
% 8.61/6.61 tff(26638,plain,
% 8.61/6.61 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB85) <=> (v142(constB85) | v150(constB85)))),
% 8.61/6.61 inference(quant_inst,[status(thm)],[])).
% 8.61/6.61 tff(26639,plain,
% 8.61/6.61 (v171(constB85) <=> (v142(constB85) | v150(constB85))),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26638, 9866])).
% 8.61/6.61 tff(26640,plain,
% 8.61/6.61 ((v142(constB85) | v150(constB85)) | (~v142(constB85))),
% 8.61/6.61 inference(tautology,[status(thm)],[])).
% 8.61/6.61 tff(26641,plain,
% 8.61/6.61 (v142(constB85) | v150(constB85)),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26640, 26623])).
% 8.61/6.61 tff(26642,plain,
% 8.61/6.61 ((~(v171(constB85) <=> (v142(constB85) | v150(constB85)))) | v171(constB85) | (~(v142(constB85) | v150(constB85)))),
% 8.61/6.61 inference(tautology,[status(thm)],[])).
% 8.61/6.61 tff(26643,plain,
% 8.61/6.61 ((~(v171(constB85) <=> (v142(constB85) | v150(constB85)))) | v171(constB85)),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26642, 26641])).
% 8.61/6.61 tff(26644,plain,
% 8.61/6.61 (v171(constB85)),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26643, 26639])).
% 8.61/6.61 tff(26645,plain,
% 8.61/6.61 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB85)) | (~v171(constB85)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB85)) | (~v171(constB85)))),
% 8.61/6.61 inference(rewrite,[status(thm)],[])).
% 8.61/6.61 tff(26646,plain,
% 8.61/6.61 (((~v171(constB85)) | (~v170(constB85))) <=> ((~v170(constB85)) | (~v171(constB85)))),
% 8.61/6.61 inference(rewrite,[status(thm)],[])).
% 8.61/6.61 tff(26647,plain,
% 8.61/6.61 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB85)) | (~v170(constB85)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB85)) | (~v171(constB85))))),
% 8.61/6.61 inference(monotonicity,[status(thm)],[26646])).
% 8.61/6.61 tff(26648,plain,
% 8.61/6.61 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB85)) | (~v170(constB85)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB85)) | (~v171(constB85)))),
% 8.61/6.61 inference(transitivity,[status(thm)],[26647, 26645])).
% 8.61/6.61 tff(26649,plain,
% 8.61/6.61 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB85)) | (~v170(constB85)))),
% 8.61/6.61 inference(quant_inst,[status(thm)],[])).
% 8.61/6.61 tff(26650,plain,
% 8.61/6.61 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB85)) | (~v171(constB85))),
% 8.61/6.61 inference(modus_ponens,[status(thm)],[26649, 26648])).
% 8.61/6.61 tff(26651,plain,
% 8.61/6.61 (~v170(constB85)),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26650, 9899, 26644])).
% 8.61/6.61 tff(26652,plain,
% 8.61/6.61 ((~(v163(constB85) <=> v170(constB85))) | (~v163(constB85)) | v170(constB85)),
% 8.61/6.61 inference(tautology,[status(thm)],[])).
% 8.61/6.61 tff(26653,plain,
% 8.61/6.61 (~v163(constB85)),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26652, 26651, 26637])).
% 8.61/6.61 tff(26654,plain,
% 8.61/6.61 ((~(v161(constB85) <=> v163(constB85))) | (~v161(constB85)) | v163(constB85)),
% 8.61/6.61 inference(tautology,[status(thm)],[])).
% 8.61/6.61 tff(26655,plain,
% 8.61/6.61 (~v161(constB85)),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26654, 26653, 26588])).
% 8.61/6.61 tff(26656,plain,
% 8.61/6.61 (((~v159(constB85)) | (~v161(constB85))) | v161(constB85)),
% 8.61/6.61 inference(tautology,[status(thm)],[])).
% 8.61/6.61 tff(26657,plain,
% 8.61/6.61 ((~v159(constB85)) | (~v161(constB85))),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26656, 26655])).
% 8.61/6.61 tff(26658,plain,
% 8.61/6.61 ((~(v201(constB85) <=> (~((~v159(constB85)) | (~v161(constB85)))))) | (~v201(constB85)) | (~((~v159(constB85)) | (~v161(constB85))))),
% 8.61/6.61 inference(tautology,[status(thm)],[])).
% 8.61/6.61 tff(26659,plain,
% 8.61/6.61 (~v201(constB85)),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26658, 26657, 26586])).
% 8.61/6.61 tff(26660,plain,
% 8.61/6.61 (((~v197(constB85)) | (~v201(constB85))) | v201(constB85)),
% 8.61/6.61 inference(tautology,[status(thm)],[])).
% 8.61/6.61 tff(26661,plain,
% 8.61/6.61 ((~v197(constB85)) | (~v201(constB85))),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26660, 26659])).
% 8.61/6.61 tff(26662,plain,
% 8.61/6.61 ((~(v200(constB85) <=> (~((~v197(constB85)) | (~v201(constB85)))))) | (~v200(constB85)) | (~((~v197(constB85)) | (~v201(constB85))))),
% 8.61/6.61 inference(tautology,[status(thm)],[])).
% 8.61/6.61 tff(26663,plain,
% 8.61/6.61 (~v200(constB85)),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26662, 26661, 26584])).
% 8.61/6.61 tff(26664,plain,
% 8.61/6.61 (((~v199(constB85)) | (~v200(constB85))) | v200(constB85)),
% 8.61/6.61 inference(tautology,[status(thm)],[])).
% 8.61/6.61 tff(26665,plain,
% 8.61/6.61 ((~v199(constB85)) | (~v200(constB85))),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26664, 26663])).
% 8.61/6.61 tff(26666,plain,
% 8.61/6.61 ((~(v198(constB85) <=> (~((~v199(constB85)) | (~v200(constB85)))))) | (~v198(constB85)) | (~((~v199(constB85)) | (~v200(constB85))))),
% 8.61/6.61 inference(tautology,[status(thm)],[])).
% 8.61/6.61 tff(26667,plain,
% 8.61/6.61 (~v198(constB85)),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26666, 26665, 26582])).
% 8.61/6.61 tff(26668,plain,
% 8.61/6.61 ((~(v194(constB85) | v198(constB85))) | v194(constB85) | v198(constB85)),
% 8.61/6.61 inference(tautology,[status(thm)],[])).
% 8.61/6.61 tff(26669,plain,
% 8.61/6.61 (~(v194(constB85) | v198(constB85))),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26668, 26667, 26580])).
% 8.61/6.61 tff(26670,plain,
% 8.61/6.61 ((~(v191(constB85) <=> (v194(constB85) | v198(constB85)))) | (~v191(constB85)) | (v194(constB85) | v198(constB85))),
% 8.61/6.61 inference(tautology,[status(thm)],[])).
% 8.61/6.61 tff(26671,plain,
% 8.61/6.61 (~v191(constB85)),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26670, 26669, 26507])).
% 8.61/6.61 tff(26672,plain,
% 8.61/6.61 ((~(v193(constB86) <=> v191(constB85))) | (~v193(constB86)) | v191(constB85)),
% 8.61/6.61 inference(tautology,[status(thm)],[])).
% 8.61/6.61 tff(26673,plain,
% 8.61/6.61 (~v193(constB86)),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26672, 26671, 26505])).
% 8.61/6.61 tff(26674,plain,
% 8.61/6.61 ((~(v157(constB86) <=> v193(constB86))) | (~v157(constB86)) | v193(constB86)),
% 8.61/6.61 inference(tautology,[status(thm)],[])).
% 8.61/6.61 tff(26675,plain,
% 8.61/6.61 (~v157(constB86)),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26674, 26673, 26501])).
% 8.61/6.61 tff(26676,plain,
% 8.61/6.61 (((~v157(constB86)) | (~v195(constB86))) | v157(constB86)),
% 8.61/6.61 inference(tautology,[status(thm)],[])).
% 8.61/6.61 tff(26677,plain,
% 8.61/6.61 ((~v157(constB86)) | (~v195(constB86))),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26676, 26675])).
% 8.61/6.61 tff(26678,plain,
% 8.61/6.61 ((~(v194(constB86) <=> (~((~v157(constB86)) | (~v195(constB86)))))) | (~v194(constB86)) | (~((~v157(constB86)) | (~v195(constB86))))),
% 8.61/6.61 inference(tautology,[status(thm)],[])).
% 8.61/6.61 tff(26679,plain,
% 8.61/6.61 (~v194(constB86)),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26678, 26677, 26499])).
% 8.61/6.61 tff(26680,plain,
% 8.61/6.61 ((~(v194(constB86) | v198(constB86))) | v194(constB86) | v198(constB86)),
% 8.61/6.61 inference(tautology,[status(thm)],[])).
% 8.61/6.61 tff(26681,plain,
% 8.61/6.61 (~(v194(constB86) | v198(constB86))),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26680, 26679, 26492])).
% 8.61/6.61 tff(26682,plain,
% 8.61/6.61 ((~(v191(constB86) <=> (v194(constB86) | v198(constB86)))) | (~v191(constB86)) | (v194(constB86) | v198(constB86))),
% 8.61/6.61 inference(tautology,[status(thm)],[])).
% 8.61/6.61 tff(26683,plain,
% 8.61/6.61 (~v191(constB86)),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26682, 26681, 26467])).
% 8.61/6.61 tff(26684,plain,
% 8.61/6.61 ((~(v193(constB87) <=> v191(constB86))) | (~v193(constB87)) | v191(constB86)),
% 8.61/6.61 inference(tautology,[status(thm)],[])).
% 8.61/6.61 tff(26685,plain,
% 8.61/6.61 (~v193(constB87)),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26684, 26683, 26465])).
% 8.61/6.61 tff(26686,plain,
% 8.61/6.61 ($false),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26685, 26461])).
% 8.61/6.61 tff(26687,plain,(~(constB87 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.61/6.61 tff(26688,assumption,(constB47 = VarCurr!0), introduced(assumption)).
% 8.61/6.61 tff(26689,plain,
% 8.61/6.61 (v193(constB47) <=> v193(VarCurr!0)),
% 8.61/6.61 inference(monotonicity,[status(thm)],[26688])).
% 8.61/6.61 tff(26690,plain,
% 8.61/6.61 (v193(VarCurr!0) <=> v193(constB47)),
% 8.61/6.61 inference(symmetry,[status(thm)],[26689])).
% 8.61/6.61 tff(26691,plain,
% 8.61/6.61 (v193(constB47)),
% 8.61/6.61 inference(modus_ponens,[status(thm)],[59, 26690])).
% 8.61/6.61 tff(26692,plain,
% 8.61/6.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB46, constB47)) | (v193(constB47) <=> v191(constB46)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB46, constB47)) | (v193(constB47) <=> v191(constB46)))),
% 8.61/6.61 inference(rewrite,[status(thm)],[])).
% 8.61/6.61 tff(26693,plain,
% 8.61/6.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB46, constB47)) | (v193(constB47) <=> v191(constB46)))),
% 8.61/6.61 inference(quant_inst,[status(thm)],[])).
% 8.61/6.61 tff(26694,plain,
% 8.61/6.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB46, constB47)) | (v193(constB47) <=> v191(constB46))),
% 8.61/6.61 inference(modus_ponens,[status(thm)],[26693, 26692])).
% 8.61/6.61 tff(26695,plain,
% 8.61/6.61 (v193(constB47) <=> v191(constB46)),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26694, 1669, 70])).
% 8.61/6.61 tff(26696,plain,
% 8.61/6.61 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB46) <=> (v194(constB46) | v198(constB46)))),
% 8.61/6.61 inference(quant_inst,[status(thm)],[])).
% 8.61/6.61 tff(26697,plain,
% 8.61/6.61 (v191(constB46) <=> (v194(constB46) | v198(constB46))),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26696, 84])).
% 8.61/6.61 tff(26698,plain,
% 8.61/6.61 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB46) <=> (~((~v199(constB46)) | (~v200(constB46)))))),
% 8.61/6.61 inference(quant_inst,[status(thm)],[])).
% 8.61/6.61 tff(26699,plain,
% 8.61/6.61 (v198(constB46) <=> (~((~v199(constB46)) | (~v200(constB46))))),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26698, 96])).
% 8.61/6.61 tff(26700,plain,
% 8.61/6.61 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB46) <=> (~((~v197(constB46)) | (~v201(constB46)))))),
% 8.61/6.61 inference(quant_inst,[status(thm)],[])).
% 8.61/6.61 tff(26701,plain,
% 8.61/6.61 (v200(constB46) <=> (~((~v197(constB46)) | (~v201(constB46))))),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26700, 108])).
% 8.61/6.61 tff(26702,plain,
% 8.61/6.61 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB46) <=> (~((~v39(constB46)) | (~v9(constB46)))))),
% 8.61/6.61 inference(quant_inst,[status(thm)],[])).
% 8.61/6.61 tff(26703,plain,
% 8.61/6.61 (v197(constB46) <=> (~((~v39(constB46)) | (~v9(constB46))))),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26702, 120])).
% 8.61/6.61 tff(26704,plain,
% 8.61/6.61 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB46)) <=> v1(constB46))),
% 8.61/6.61 inference(quant_inst,[status(thm)],[])).
% 8.61/6.61 tff(26705,plain,
% 8.61/6.61 ((~v39(constB46)) <=> v1(constB46)),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26704, 129])).
% 8.61/6.61 tff(26706,plain,
% 8.61/6.61 ((~((~v39(constB46)) <=> v1(constB46))) | (~v39(constB46)) | (~v1(constB46))),
% 8.61/6.61 inference(tautology,[status(thm)],[])).
% 8.61/6.61 tff(26707,plain,
% 8.61/6.61 ((~((~v39(constB46)) <=> v1(constB46))) | (~v39(constB46))),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26706, 6988])).
% 8.61/6.61 tff(26708,plain,
% 8.61/6.61 (~v39(constB46)),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26707, 26705])).
% 8.61/6.61 tff(26709,plain,
% 8.61/6.61 (((~v39(constB46)) | (~v9(constB46))) | v39(constB46)),
% 8.61/6.61 inference(tautology,[status(thm)],[])).
% 8.61/6.61 tff(26710,plain,
% 8.61/6.61 ((~v39(constB46)) | (~v9(constB46))),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26709, 26708])).
% 8.61/6.61 tff(26711,plain,
% 8.61/6.61 ((~(v197(constB46) <=> (~((~v39(constB46)) | (~v9(constB46)))))) | (~v197(constB46)) | (~((~v39(constB46)) | (~v9(constB46))))),
% 8.61/6.61 inference(tautology,[status(thm)],[])).
% 8.61/6.61 tff(26712,plain,
% 8.61/6.61 ((~(v197(constB46) <=> (~((~v39(constB46)) | (~v9(constB46)))))) | (~v197(constB46))),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26711, 26710])).
% 8.61/6.61 tff(26713,plain,
% 8.61/6.61 (~v197(constB46)),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26712, 26703])).
% 8.61/6.61 tff(26714,plain,
% 8.61/6.61 (((~v197(constB46)) | (~v201(constB46))) | v197(constB46)),
% 8.61/6.61 inference(tautology,[status(thm)],[])).
% 8.61/6.61 tff(26715,plain,
% 8.61/6.61 ((~v197(constB46)) | (~v201(constB46))),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26714, 26713])).
% 8.61/6.61 tff(26716,plain,
% 8.61/6.61 ((~(v200(constB46) <=> (~((~v197(constB46)) | (~v201(constB46)))))) | (~v200(constB46)) | (~((~v197(constB46)) | (~v201(constB46))))),
% 8.61/6.61 inference(tautology,[status(thm)],[])).
% 8.61/6.61 tff(26717,plain,
% 8.61/6.61 ((~(v200(constB46) <=> (~((~v197(constB46)) | (~v201(constB46)))))) | (~v200(constB46))),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26716, 26715])).
% 8.61/6.61 tff(26718,plain,
% 8.61/6.61 (~v200(constB46)),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26717, 26701])).
% 8.61/6.61 tff(26719,plain,
% 8.61/6.61 (((~v199(constB46)) | (~v200(constB46))) | v200(constB46)),
% 8.61/6.61 inference(tautology,[status(thm)],[])).
% 8.61/6.61 tff(26720,plain,
% 8.61/6.61 ((~v199(constB46)) | (~v200(constB46))),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26719, 26718])).
% 8.61/6.61 tff(26721,plain,
% 8.61/6.61 ((~(v198(constB46) <=> (~((~v199(constB46)) | (~v200(constB46)))))) | (~v198(constB46)) | (~((~v199(constB46)) | (~v200(constB46))))),
% 8.61/6.61 inference(tautology,[status(thm)],[])).
% 8.61/6.61 tff(26722,plain,
% 8.61/6.61 (~v198(constB46)),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26721, 26720, 26699])).
% 8.61/6.61 tff(26723,plain,
% 8.61/6.61 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB46) <=> (~((~v157(constB46)) | (~v195(constB46)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB46) <=> (~((~v157(constB46)) | (~v195(constB46))))))),
% 8.61/6.61 inference(rewrite,[status(thm)],[])).
% 8.61/6.61 tff(26724,plain,
% 8.61/6.61 ((v194(constB46) <=> (~((~v195(constB46)) | (~v157(constB46))))) <=> (v194(constB46) <=> (~((~v157(constB46)) | (~v195(constB46)))))),
% 8.61/6.61 inference(rewrite,[status(thm)],[])).
% 8.61/6.61 tff(26725,plain,
% 8.61/6.61 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB46) <=> (~((~v195(constB46)) | (~v157(constB46)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB46) <=> (~((~v157(constB46)) | (~v195(constB46))))))),
% 8.61/6.61 inference(monotonicity,[status(thm)],[26724])).
% 8.61/6.61 tff(26726,plain,
% 8.61/6.61 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB46) <=> (~((~v195(constB46)) | (~v157(constB46)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB46) <=> (~((~v157(constB46)) | (~v195(constB46))))))),
% 8.61/6.61 inference(transitivity,[status(thm)],[26725, 26723])).
% 8.61/6.61 tff(26727,plain,
% 8.61/6.61 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB46) <=> (~((~v195(constB46)) | (~v157(constB46)))))),
% 8.61/6.61 inference(quant_inst,[status(thm)],[])).
% 8.61/6.61 tff(26728,plain,
% 8.61/6.61 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB46) <=> (~((~v157(constB46)) | (~v195(constB46)))))),
% 8.61/6.61 inference(modus_ponens,[status(thm)],[26727, 26726])).
% 8.61/6.61 tff(26729,plain,
% 8.61/6.61 (v194(constB46) <=> (~((~v157(constB46)) | (~v195(constB46))))),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26728, 161])).
% 8.61/6.61 tff(26730,plain,
% 8.61/6.61 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB46) <=> v193(constB46))),
% 8.61/6.61 inference(quant_inst,[status(thm)],[])).
% 8.61/6.61 tff(26731,plain,
% 8.61/6.61 (v157(constB46) <=> v193(constB46)),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26730, 13])).
% 8.61/6.61 tff(26732,plain,
% 8.61/6.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB45, constB46)) | (v193(constB46) <=> v191(constB45)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB45, constB46)) | (v193(constB46) <=> v191(constB45)))),
% 8.61/6.61 inference(rewrite,[status(thm)],[])).
% 8.61/6.61 tff(26733,plain,
% 8.61/6.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB45, constB46)) | (v193(constB46) <=> v191(constB45)))),
% 8.61/6.61 inference(quant_inst,[status(thm)],[])).
% 8.61/6.61 tff(26734,plain,
% 8.61/6.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB45, constB46)) | (v193(constB46) <=> v191(constB45))),
% 8.61/6.61 inference(modus_ponens,[status(thm)],[26733, 26732])).
% 8.61/6.61 tff(26735,plain,
% 8.61/6.61 (v193(constB46) <=> v191(constB45)),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26734, 1705, 70])).
% 8.61/6.61 tff(26736,plain,
% 8.61/6.61 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB45) <=> (v194(constB45) | v198(constB45)))),
% 8.61/6.61 inference(quant_inst,[status(thm)],[])).
% 8.61/6.61 tff(26737,plain,
% 8.61/6.61 (v191(constB45) <=> (v194(constB45) | v198(constB45))),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26736, 84])).
% 8.61/6.61 tff(26738,plain,
% 8.61/6.61 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB45) <=> (~((~v157(constB45)) | (~v195(constB45)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB45) <=> (~((~v157(constB45)) | (~v195(constB45))))))),
% 8.61/6.61 inference(rewrite,[status(thm)],[])).
% 8.61/6.61 tff(26739,plain,
% 8.61/6.61 ((v194(constB45) <=> (~((~v195(constB45)) | (~v157(constB45))))) <=> (v194(constB45) <=> (~((~v157(constB45)) | (~v195(constB45)))))),
% 8.61/6.61 inference(rewrite,[status(thm)],[])).
% 8.61/6.61 tff(26740,plain,
% 8.61/6.61 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB45) <=> (~((~v195(constB45)) | (~v157(constB45)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB45) <=> (~((~v157(constB45)) | (~v195(constB45))))))),
% 8.61/6.61 inference(monotonicity,[status(thm)],[26739])).
% 8.61/6.61 tff(26741,plain,
% 8.61/6.61 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB45) <=> (~((~v195(constB45)) | (~v157(constB45)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB45) <=> (~((~v157(constB45)) | (~v195(constB45))))))),
% 8.61/6.61 inference(transitivity,[status(thm)],[26740, 26738])).
% 8.61/6.61 tff(26742,plain,
% 8.61/6.61 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB45) <=> (~((~v195(constB45)) | (~v157(constB45)))))),
% 8.61/6.61 inference(quant_inst,[status(thm)],[])).
% 8.61/6.61 tff(26743,plain,
% 8.61/6.61 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB45) <=> (~((~v157(constB45)) | (~v195(constB45)))))),
% 8.61/6.61 inference(modus_ponens,[status(thm)],[26742, 26741])).
% 8.61/6.61 tff(26744,plain,
% 8.61/6.61 (v194(constB45) <=> (~((~v157(constB45)) | (~v195(constB45))))),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26743, 161])).
% 8.61/6.61 tff(26745,plain,
% 8.61/6.61 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB45)) <=> v196(constB45))),
% 8.61/6.61 inference(quant_inst,[status(thm)],[])).
% 8.61/6.61 tff(26746,plain,
% 8.61/6.61 ((~v195(constB45)) <=> v196(constB45)),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26745, 193])).
% 8.61/6.61 tff(26747,plain,
% 8.61/6.61 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB45) <=> (v197(constB45) | v26(constB45)))),
% 8.61/6.61 inference(quant_inst,[status(thm)],[])).
% 8.61/6.61 tff(26748,plain,
% 8.61/6.61 (v196(constB45) <=> (v197(constB45) | v26(constB45))),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26747, 202])).
% 8.61/6.61 tff(26749,plain,
% 8.61/6.61 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB45) <=> (~((~v39(constB45)) | (~v9(constB45)))))),
% 8.61/6.61 inference(quant_inst,[status(thm)],[])).
% 8.61/6.61 tff(26750,plain,
% 8.61/6.61 (v197(constB45) <=> (~((~v39(constB45)) | (~v9(constB45))))),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26749, 120])).
% 8.61/6.61 tff(26751,plain,
% 8.61/6.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB45, constB46)) | (v13(constB46) <=> v9(constB45)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB45, constB46)) | (v13(constB46) <=> v9(constB45)))),
% 8.61/6.61 inference(rewrite,[status(thm)],[])).
% 8.61/6.61 tff(26752,plain,
% 8.61/6.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB45, constB46)) | (v13(constB46) <=> v9(constB45)))),
% 8.61/6.61 inference(quant_inst,[status(thm)],[])).
% 8.61/6.61 tff(26753,plain,
% 8.61/6.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB45, constB46)) | (v13(constB46) <=> v9(constB45))),
% 8.61/6.61 inference(modus_ponens,[status(thm)],[26752, 26751])).
% 8.61/6.61 tff(26754,plain,
% 8.61/6.61 (v13(constB46) <=> v9(constB45)),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26753, 1705, 216])).
% 8.61/6.61 tff(26755,plain,
% 8.61/6.61 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB46) <=> v13(constB46))),
% 8.61/6.61 inference(quant_inst,[status(thm)],[])).
% 8.61/6.61 tff(26756,plain,
% 8.61/6.61 (v6(constB46) <=> v13(constB46)),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26755, 230])).
% 8.61/6.61 tff(26757,plain,
% 8.61/6.61 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB46)) <=> v6(constB46))),
% 8.61/6.61 inference(quant_inst,[status(thm)],[])).
% 8.61/6.61 tff(26758,plain,
% 8.61/6.61 ((~v21(constB46)) <=> v6(constB46)),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26757, 239])).
% 8.61/6.61 tff(26759,plain,
% 8.61/6.61 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB46) <=> (v20(constB46) | v21(constB46)))),
% 8.61/6.61 inference(quant_inst,[status(thm)],[])).
% 8.61/6.61 tff(26760,plain,
% 8.61/6.61 (v19(constB46) <=> (v20(constB46) | v21(constB46))),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26759, 248])).
% 8.61/6.61 tff(26761,plain,
% 8.61/6.61 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB46) <=> (~((~v19(constB46)) | (~v22(constB46)))))),
% 8.61/6.61 inference(quant_inst,[status(thm)],[])).
% 8.61/6.61 tff(26762,plain,
% 8.61/6.61 (v18(constB46) <=> (~((~v19(constB46)) | (~v22(constB46))))),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26761, 260])).
% 8.61/6.61 tff(26763,plain,
% 8.61/6.61 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB46)) <=> v18(constB46))),
% 8.61/6.61 inference(quant_inst,[status(thm)],[])).
% 8.61/6.61 tff(26764,plain,
% 8.61/6.61 ((~v4(constB46)) <=> v18(constB46)),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26763, 269])).
% 8.61/6.61 tff(26765,plain,
% 8.61/6.61 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB46)),
% 8.61/6.61 inference(quant_inst,[status(thm)],[])).
% 8.61/6.61 tff(26766,plain,
% 8.61/6.61 (v4(constB46)),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26765, 278])).
% 8.61/6.61 tff(26767,plain,
% 8.61/6.61 ((~((~v4(constB46)) <=> v18(constB46))) | (~v4(constB46)) | (~v18(constB46))),
% 8.61/6.61 inference(tautology,[status(thm)],[])).
% 8.61/6.61 tff(26768,plain,
% 8.61/6.61 (~v18(constB46)),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26767, 26766, 26764])).
% 8.61/6.61 tff(26769,plain,
% 8.61/6.61 ((~(v18(constB46) <=> (~((~v19(constB46)) | (~v22(constB46)))))) | v18(constB46) | ((~v19(constB46)) | (~v22(constB46)))),
% 8.61/6.61 inference(tautology,[status(thm)],[])).
% 8.61/6.61 tff(26770,plain,
% 8.61/6.61 ((~v19(constB46)) | (~v22(constB46))),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26769, 26768, 26762])).
% 8.61/6.61 tff(26771,plain,
% 8.61/6.61 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB46) <=> (v1(constB46) | v6(constB46)))),
% 8.61/6.61 inference(quant_inst,[status(thm)],[])).
% 8.61/6.61 tff(26772,plain,
% 8.61/6.61 (v22(constB46) <=> (v1(constB46) | v6(constB46))),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26771, 291])).
% 8.61/6.61 tff(26773,plain,
% 8.61/6.61 ((v1(constB46) | v6(constB46)) | (~v1(constB46))),
% 8.61/6.61 inference(tautology,[status(thm)],[])).
% 8.61/6.61 tff(26774,plain,
% 8.61/6.61 (v1(constB46) | v6(constB46)),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26773, 6988])).
% 8.61/6.61 tff(26775,plain,
% 8.61/6.61 ((~(v22(constB46) <=> (v1(constB46) | v6(constB46)))) | v22(constB46) | (~(v1(constB46) | v6(constB46)))),
% 8.61/6.61 inference(tautology,[status(thm)],[])).
% 8.61/6.61 tff(26776,plain,
% 8.61/6.61 ((~(v22(constB46) <=> (v1(constB46) | v6(constB46)))) | v22(constB46)),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26775, 26774])).
% 8.61/6.61 tff(26777,plain,
% 8.61/6.61 (v22(constB46)),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26776, 26772])).
% 8.61/6.61 tff(26778,plain,
% 8.61/6.61 ((~((~v19(constB46)) | (~v22(constB46)))) | (~v19(constB46)) | (~v22(constB46))),
% 8.61/6.61 inference(tautology,[status(thm)],[])).
% 8.61/6.61 tff(26779,plain,
% 8.61/6.61 ((~((~v19(constB46)) | (~v22(constB46)))) | (~v19(constB46))),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26778, 26777])).
% 8.61/6.61 tff(26780,plain,
% 8.61/6.61 (~v19(constB46)),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26779, 26770])).
% 8.61/6.61 tff(26781,plain,
% 8.61/6.61 ((~(v19(constB46) <=> (v20(constB46) | v21(constB46)))) | v19(constB46) | (~(v20(constB46) | v21(constB46)))),
% 8.61/6.61 inference(tautology,[status(thm)],[])).
% 8.61/6.61 tff(26782,plain,
% 8.61/6.61 (~(v20(constB46) | v21(constB46))),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26781, 26780, 26760])).
% 8.61/6.61 tff(26783,plain,
% 8.61/6.61 ((v20(constB46) | v21(constB46)) | (~v21(constB46))),
% 8.61/6.61 inference(tautology,[status(thm)],[])).
% 8.61/6.61 tff(26784,plain,
% 8.61/6.61 (~v21(constB46)),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26783, 26782])).
% 8.61/6.61 tff(26785,plain,
% 8.61/6.61 ((~((~v21(constB46)) <=> v6(constB46))) | v21(constB46) | v6(constB46)),
% 8.61/6.61 inference(tautology,[status(thm)],[])).
% 8.61/6.61 tff(26786,plain,
% 8.61/6.61 (v6(constB46)),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26785, 26784, 26758])).
% 8.61/6.61 tff(26787,plain,
% 8.61/6.61 ((~(v6(constB46) <=> v13(constB46))) | (~v6(constB46)) | v13(constB46)),
% 8.61/6.61 inference(tautology,[status(thm)],[])).
% 8.61/6.61 tff(26788,plain,
% 8.61/6.61 (v13(constB46)),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26787, 26786, 26756])).
% 8.61/6.61 tff(26789,plain,
% 8.61/6.61 ((~(v13(constB46) <=> v9(constB45))) | (~v13(constB46)) | v9(constB45)),
% 8.61/6.61 inference(tautology,[status(thm)],[])).
% 8.61/6.61 tff(26790,plain,
% 8.61/6.61 (v9(constB45)),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26789, 26788, 26754])).
% 8.61/6.61 tff(26791,plain,
% 8.61/6.61 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB45)) <=> v1(constB45))),
% 8.61/6.61 inference(quant_inst,[status(thm)],[])).
% 8.61/6.61 tff(26792,plain,
% 8.61/6.61 ((~v39(constB45)) <=> v1(constB45)),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26791, 129])).
% 8.61/6.61 tff(26793,plain,
% 8.61/6.61 ((~((~v39(constB45)) <=> v1(constB45))) | v39(constB45) | v1(constB45)),
% 8.61/6.61 inference(tautology,[status(thm)],[])).
% 8.61/6.61 tff(26794,plain,
% 8.61/6.61 ((~((~v39(constB45)) <=> v1(constB45))) | v39(constB45)),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26793, 1744])).
% 8.61/6.61 tff(26795,plain,
% 8.61/6.61 (v39(constB45)),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26794, 26792])).
% 8.61/6.61 tff(26796,plain,
% 8.61/6.61 ((~((~v39(constB45)) | (~v9(constB45)))) | (~v39(constB45)) | (~v9(constB45))),
% 8.61/6.61 inference(tautology,[status(thm)],[])).
% 8.61/6.61 tff(26797,plain,
% 8.61/6.61 ((~((~v39(constB45)) | (~v9(constB45)))) | (~v9(constB45))),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26796, 26795])).
% 8.61/6.61 tff(26798,plain,
% 8.61/6.61 (~((~v39(constB45)) | (~v9(constB45)))),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26797, 26790])).
% 8.61/6.61 tff(26799,plain,
% 8.61/6.61 ((~(v197(constB45) <=> (~((~v39(constB45)) | (~v9(constB45)))))) | v197(constB45) | ((~v39(constB45)) | (~v9(constB45)))),
% 8.61/6.61 inference(tautology,[status(thm)],[])).
% 8.61/6.61 tff(26800,plain,
% 8.61/6.61 (v197(constB45)),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26799, 26798, 26750])).
% 8.61/6.61 tff(26801,plain,
% 8.61/6.61 ((v197(constB45) | v26(constB45)) | (~v197(constB45))),
% 8.61/6.61 inference(tautology,[status(thm)],[])).
% 8.61/6.61 tff(26802,plain,
% 8.61/6.61 (v197(constB45) | v26(constB45)),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26801, 26800])).
% 8.61/6.61 tff(26803,plain,
% 8.61/6.61 ((~(v196(constB45) <=> (v197(constB45) | v26(constB45)))) | v196(constB45) | (~(v197(constB45) | v26(constB45)))),
% 8.61/6.61 inference(tautology,[status(thm)],[])).
% 8.61/6.61 tff(26804,plain,
% 8.61/6.61 (v196(constB45)),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26803, 26802, 26748])).
% 8.61/6.61 tff(26805,plain,
% 8.61/6.61 ((~((~v195(constB45)) <=> v196(constB45))) | (~v195(constB45)) | (~v196(constB45))),
% 8.61/6.61 inference(tautology,[status(thm)],[])).
% 8.61/6.61 tff(26806,plain,
% 8.61/6.61 (~v195(constB45)),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26805, 26804, 26746])).
% 8.61/6.61 tff(26807,plain,
% 8.61/6.61 (((~v157(constB45)) | (~v195(constB45))) | v195(constB45)),
% 8.61/6.61 inference(tautology,[status(thm)],[])).
% 8.61/6.61 tff(26808,plain,
% 8.61/6.61 ((~v157(constB45)) | (~v195(constB45))),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26807, 26806])).
% 8.61/6.61 tff(26809,plain,
% 8.61/6.61 ((~(v194(constB45) <=> (~((~v157(constB45)) | (~v195(constB45)))))) | (~v194(constB45)) | (~((~v157(constB45)) | (~v195(constB45))))),
% 8.61/6.61 inference(tautology,[status(thm)],[])).
% 8.61/6.61 tff(26810,plain,
% 8.61/6.61 (~v194(constB45)),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26809, 26808, 26744])).
% 8.61/6.61 tff(26811,plain,
% 8.61/6.61 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB45) <=> (~((~v199(constB45)) | (~v200(constB45)))))),
% 8.61/6.61 inference(quant_inst,[status(thm)],[])).
% 8.61/6.61 tff(26812,plain,
% 8.61/6.61 (v198(constB45) <=> (~((~v199(constB45)) | (~v200(constB45))))),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26811, 96])).
% 8.61/6.61 tff(26813,plain,
% 8.61/6.61 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB45) <=> (~((~v197(constB45)) | (~v201(constB45)))))),
% 8.61/6.61 inference(quant_inst,[status(thm)],[])).
% 8.61/6.61 tff(26814,plain,
% 8.61/6.61 (v200(constB45) <=> (~((~v197(constB45)) | (~v201(constB45))))),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26813, 108])).
% 8.61/6.61 tff(26815,plain,
% 8.61/6.61 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB45) <=> (~((~v159(constB45)) | (~v161(constB45)))))),
% 8.61/6.61 inference(quant_inst,[status(thm)],[])).
% 8.61/6.61 tff(26816,plain,
% 8.61/6.61 (v201(constB45) <=> (~((~v159(constB45)) | (~v161(constB45))))),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26815, 348])).
% 8.61/6.61 tff(26817,plain,
% 8.61/6.61 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB45) <=> v163(constB45))),
% 8.61/6.61 inference(quant_inst,[status(thm)],[])).
% 8.61/6.61 tff(26818,plain,
% 8.61/6.61 (v161(constB45) <=> v163(constB45)),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26817, 357])).
% 8.61/6.61 tff(26819,plain,
% 8.61/6.61 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB45) <=> (v145(constB45) | v167(constB45)))),
% 8.61/6.61 inference(quant_inst,[status(thm)],[])).
% 8.61/6.61 tff(26820,plain,
% 8.61/6.61 (v166(constB45) <=> (v145(constB45) | v167(constB45))),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26819, 369])).
% 8.61/6.61 tff(26821,plain,
% 8.61/6.61 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB45) <=> (v142(constB45) | v168(constB45)))),
% 8.61/6.61 inference(quant_inst,[status(thm)],[])).
% 8.61/6.61 tff(26822,plain,
% 8.61/6.61 (v167(constB45) <=> (v142(constB45) | v168(constB45))),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26821, 381])).
% 8.61/6.61 tff(26823,plain,
% 8.61/6.61 ((v142(constB45) | v168(constB45)) | (~v142(constB45))),
% 8.61/6.61 inference(tautology,[status(thm)],[])).
% 8.61/6.61 tff(26824,plain,
% 8.61/6.61 (v142(constB45) | v168(constB45)),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26823, 24907])).
% 8.61/6.61 tff(26825,plain,
% 8.61/6.61 ((~(v167(constB45) <=> (v142(constB45) | v168(constB45)))) | v167(constB45) | (~(v142(constB45) | v168(constB45)))),
% 8.61/6.61 inference(tautology,[status(thm)],[])).
% 8.61/6.61 tff(26826,plain,
% 8.61/6.61 ((~(v167(constB45) <=> (v142(constB45) | v168(constB45)))) | v167(constB45)),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26825, 26824])).
% 8.61/6.61 tff(26827,plain,
% 8.61/6.61 (v167(constB45)),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26826, 26822])).
% 8.61/6.61 tff(26828,plain,
% 8.61/6.61 ((v145(constB45) | v167(constB45)) | (~v167(constB45))),
% 8.61/6.61 inference(tautology,[status(thm)],[])).
% 8.61/6.61 tff(26829,plain,
% 8.61/6.61 (v145(constB45) | v167(constB45)),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26828, 26827])).
% 8.61/6.61 tff(26830,plain,
% 8.61/6.61 ((~(v166(constB45) <=> (v145(constB45) | v167(constB45)))) | v166(constB45) | (~(v145(constB45) | v167(constB45)))),
% 8.61/6.61 inference(tautology,[status(thm)],[])).
% 8.61/6.61 tff(26831,plain,
% 8.61/6.61 (v166(constB45)),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26830, 26829, 26820])).
% 8.61/6.61 tff(26832,plain,
% 8.61/6.61 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB45)) | (v163(constB45) <=> v170(constB45)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB45)) | (v163(constB45) <=> v170(constB45)))),
% 8.61/6.61 inference(rewrite,[status(thm)],[])).
% 8.61/6.61 tff(26833,plain,
% 8.61/6.61 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB45)) | (v163(constB45) <=> v170(constB45)))),
% 8.61/6.61 inference(quant_inst,[status(thm)],[])).
% 8.61/6.61 tff(26834,plain,
% 8.61/6.61 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB45)) | (v163(constB45) <=> v170(constB45))),
% 8.61/6.61 inference(modus_ponens,[status(thm)],[26833, 26832])).
% 8.61/6.61 tff(26835,plain,
% 8.61/6.61 ((~v166(constB45)) | (v163(constB45) <=> v170(constB45))),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26834, 9851])).
% 8.61/6.61 tff(26836,plain,
% 8.61/6.61 (v163(constB45) <=> v170(constB45)),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26835, 26831])).
% 8.61/6.61 tff(26837,plain,
% 8.61/6.61 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB45) <=> (v142(constB45) | v150(constB45)))),
% 8.61/6.61 inference(quant_inst,[status(thm)],[])).
% 8.61/6.61 tff(26838,plain,
% 8.61/6.61 (v171(constB45) <=> (v142(constB45) | v150(constB45))),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26837, 9866])).
% 8.61/6.61 tff(26839,plain,
% 8.61/6.61 ((v142(constB45) | v150(constB45)) | (~v142(constB45))),
% 8.61/6.61 inference(tautology,[status(thm)],[])).
% 8.61/6.61 tff(26840,plain,
% 8.61/6.61 (v142(constB45) | v150(constB45)),
% 8.61/6.61 inference(unit_resolution,[status(thm)],[26839, 24907])).
% 8.61/6.61 tff(26841,plain,
% 8.61/6.61 ((~(v171(constB45) <=> (v142(constB45) | v150(constB45)))) | v171(constB45) | (~(v142(constB45) | v150(constB45)))),
% 8.61/6.62 inference(tautology,[status(thm)],[])).
% 8.61/6.62 tff(26842,plain,
% 8.61/6.62 ((~(v171(constB45) <=> (v142(constB45) | v150(constB45)))) | v171(constB45)),
% 8.61/6.62 inference(unit_resolution,[status(thm)],[26841, 26840])).
% 8.61/6.62 tff(26843,plain,
% 8.61/6.62 (v171(constB45)),
% 8.61/6.62 inference(unit_resolution,[status(thm)],[26842, 26838])).
% 8.61/6.62 tff(26844,plain,
% 8.61/6.62 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB45)) | (~v171(constB45)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB45)) | (~v171(constB45)))),
% 8.61/6.62 inference(rewrite,[status(thm)],[])).
% 8.61/6.62 tff(26845,plain,
% 8.61/6.62 (((~v171(constB45)) | (~v170(constB45))) <=> ((~v170(constB45)) | (~v171(constB45)))),
% 8.61/6.62 inference(rewrite,[status(thm)],[])).
% 8.61/6.62 tff(26846,plain,
% 8.61/6.62 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB45)) | (~v170(constB45)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB45)) | (~v171(constB45))))),
% 8.61/6.62 inference(monotonicity,[status(thm)],[26845])).
% 8.61/6.62 tff(26847,plain,
% 8.61/6.62 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB45)) | (~v170(constB45)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB45)) | (~v171(constB45)))),
% 8.61/6.62 inference(transitivity,[status(thm)],[26846, 26844])).
% 8.61/6.62 tff(26848,plain,
% 8.61/6.62 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB45)) | (~v170(constB45)))),
% 8.61/6.62 inference(quant_inst,[status(thm)],[])).
% 8.61/6.62 tff(26849,plain,
% 8.61/6.62 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB45)) | (~v171(constB45))),
% 8.61/6.62 inference(modus_ponens,[status(thm)],[26848, 26847])).
% 8.61/6.62 tff(26850,plain,
% 8.61/6.62 (~v170(constB45)),
% 8.61/6.62 inference(unit_resolution,[status(thm)],[26849, 9899, 26843])).
% 8.61/6.62 tff(26851,plain,
% 8.61/6.62 ((~(v163(constB45) <=> v170(constB45))) | (~v163(constB45)) | v170(constB45)),
% 8.61/6.62 inference(tautology,[status(thm)],[])).
% 8.61/6.62 tff(26852,plain,
% 8.61/6.62 (~v163(constB45)),
% 8.61/6.62 inference(unit_resolution,[status(thm)],[26851, 26850, 26836])).
% 8.61/6.62 tff(26853,plain,
% 8.61/6.62 ((~(v161(constB45) <=> v163(constB45))) | (~v161(constB45)) | v163(constB45)),
% 8.61/6.62 inference(tautology,[status(thm)],[])).
% 8.61/6.62 tff(26854,plain,
% 8.61/6.62 (~v161(constB45)),
% 8.61/6.62 inference(unit_resolution,[status(thm)],[26853, 26852, 26818])).
% 8.61/6.62 tff(26855,plain,
% 8.61/6.62 (((~v159(constB45)) | (~v161(constB45))) | v161(constB45)),
% 8.61/6.62 inference(tautology,[status(thm)],[])).
% 8.61/6.62 tff(26856,plain,
% 8.61/6.62 ((~v159(constB45)) | (~v161(constB45))),
% 8.61/6.62 inference(unit_resolution,[status(thm)],[26855, 26854])).
% 8.61/6.62 tff(26857,plain,
% 8.61/6.62 ((~(v201(constB45) <=> (~((~v159(constB45)) | (~v161(constB45)))))) | (~v201(constB45)) | (~((~v159(constB45)) | (~v161(constB45))))),
% 8.61/6.62 inference(tautology,[status(thm)],[])).
% 8.61/6.62 tff(26858,plain,
% 8.61/6.62 (~v201(constB45)),
% 8.61/6.62 inference(unit_resolution,[status(thm)],[26857, 26856, 26816])).
% 8.61/6.62 tff(26859,plain,
% 8.61/6.62 (((~v197(constB45)) | (~v201(constB45))) | v201(constB45)),
% 8.61/6.62 inference(tautology,[status(thm)],[])).
% 8.61/6.62 tff(26860,plain,
% 8.61/6.62 ((~v197(constB45)) | (~v201(constB45))),
% 8.61/6.62 inference(unit_resolution,[status(thm)],[26859, 26858])).
% 8.61/6.62 tff(26861,plain,
% 8.61/6.62 ((~(v200(constB45) <=> (~((~v197(constB45)) | (~v201(constB45)))))) | (~v200(constB45)) | (~((~v197(constB45)) | (~v201(constB45))))),
% 8.61/6.62 inference(tautology,[status(thm)],[])).
% 8.61/6.62 tff(26862,plain,
% 8.61/6.62 (~v200(constB45)),
% 8.61/6.62 inference(unit_resolution,[status(thm)],[26861, 26860, 26814])).
% 8.61/6.62 tff(26863,plain,
% 8.61/6.62 (((~v199(constB45)) | (~v200(constB45))) | v200(constB45)),
% 8.61/6.62 inference(tautology,[status(thm)],[])).
% 8.61/6.62 tff(26864,plain,
% 8.61/6.62 ((~v199(constB45)) | (~v200(constB45))),
% 8.61/6.62 inference(unit_resolution,[status(thm)],[26863, 26862])).
% 8.61/6.62 tff(26865,plain,
% 8.61/6.62 ((~(v198(constB45) <=> (~((~v199(constB45)) | (~v200(constB45)))))) | (~v198(constB45)) | (~((~v199(constB45)) | (~v200(constB45))))),
% 8.61/6.62 inference(tautology,[status(thm)],[])).
% 8.61/6.62 tff(26866,plain,
% 8.61/6.62 (~v198(constB45)),
% 8.61/6.62 inference(unit_resolution,[status(thm)],[26865, 26864, 26812])).
% 8.61/6.62 tff(26867,plain,
% 8.61/6.62 ((~(v194(constB45) | v198(constB45))) | v194(constB45) | v198(constB45)),
% 8.61/6.62 inference(tautology,[status(thm)],[])).
% 8.61/6.62 tff(26868,plain,
% 8.61/6.62 (~(v194(constB45) | v198(constB45))),
% 8.61/6.62 inference(unit_resolution,[status(thm)],[26867, 26866, 26810])).
% 8.61/6.62 tff(26869,plain,
% 8.61/6.62 ((~(v191(constB45) <=> (v194(constB45) | v198(constB45)))) | (~v191(constB45)) | (v194(constB45) | v198(constB45))),
% 8.61/6.62 inference(tautology,[status(thm)],[])).
% 8.61/6.62 tff(26870,plain,
% 8.61/6.62 (~v191(constB45)),
% 8.61/6.62 inference(unit_resolution,[status(thm)],[26869, 26868, 26737])).
% 8.61/6.62 tff(26871,plain,
% 8.61/6.62 ((~(v193(constB46) <=> v191(constB45))) | (~v193(constB46)) | v191(constB45)),
% 8.61/6.62 inference(tautology,[status(thm)],[])).
% 8.61/6.62 tff(26872,plain,
% 8.61/6.62 (~v193(constB46)),
% 8.61/6.62 inference(unit_resolution,[status(thm)],[26871, 26870, 26735])).
% 8.61/6.62 tff(26873,plain,
% 8.61/6.62 ((~(v157(constB46) <=> v193(constB46))) | (~v157(constB46)) | v193(constB46)),
% 8.61/6.62 inference(tautology,[status(thm)],[])).
% 8.61/6.62 tff(26874,plain,
% 8.61/6.62 (~v157(constB46)),
% 8.61/6.62 inference(unit_resolution,[status(thm)],[26873, 26872, 26731])).
% 8.61/6.62 tff(26875,plain,
% 8.61/6.62 (((~v157(constB46)) | (~v195(constB46))) | v157(constB46)),
% 8.61/6.62 inference(tautology,[status(thm)],[])).
% 8.61/6.62 tff(26876,plain,
% 8.61/6.62 ((~v157(constB46)) | (~v195(constB46))),
% 8.61/6.62 inference(unit_resolution,[status(thm)],[26875, 26874])).
% 8.61/6.62 tff(26877,plain,
% 8.61/6.62 ((~(v194(constB46) <=> (~((~v157(constB46)) | (~v195(constB46)))))) | (~v194(constB46)) | (~((~v157(constB46)) | (~v195(constB46))))),
% 8.61/6.62 inference(tautology,[status(thm)],[])).
% 8.61/6.62 tff(26878,plain,
% 8.61/6.62 (~v194(constB46)),
% 8.61/6.62 inference(unit_resolution,[status(thm)],[26877, 26876, 26729])).
% 8.61/6.62 tff(26879,plain,
% 8.61/6.62 ((~(v194(constB46) | v198(constB46))) | v194(constB46) | v198(constB46)),
% 8.61/6.62 inference(tautology,[status(thm)],[])).
% 8.61/6.62 tff(26880,plain,
% 8.61/6.62 (~(v194(constB46) | v198(constB46))),
% 8.61/6.62 inference(unit_resolution,[status(thm)],[26879, 26878, 26722])).
% 8.61/6.62 tff(26881,plain,
% 8.61/6.62 ((~(v191(constB46) <=> (v194(constB46) | v198(constB46)))) | (~v191(constB46)) | (v194(constB46) | v198(constB46))),
% 8.61/6.62 inference(tautology,[status(thm)],[])).
% 8.61/6.62 tff(26882,plain,
% 8.61/6.62 (~v191(constB46)),
% 8.61/6.62 inference(unit_resolution,[status(thm)],[26881, 26880, 26697])).
% 8.61/6.62 tff(26883,plain,
% 8.61/6.62 ((~(v193(constB47) <=> v191(constB46))) | (~v193(constB47)) | v191(constB46)),
% 8.61/6.62 inference(tautology,[status(thm)],[])).
% 8.61/6.62 tff(26884,plain,
% 8.61/6.62 (~v193(constB47)),
% 8.61/6.62 inference(unit_resolution,[status(thm)],[26883, 26882, 26695])).
% 8.61/6.62 tff(26885,plain,
% 8.61/6.62 ($false),
% 8.61/6.62 inference(unit_resolution,[status(thm)],[26884, 26691])).
% 8.61/6.62 tff(26886,plain,(~(constB47 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.61/6.62 tff(26887,assumption,(constB51 = VarCurr!0), introduced(assumption)).
% 8.61/6.62 tff(26888,plain,
% 8.61/6.62 (v193(constB51) <=> v193(VarCurr!0)),
% 8.61/6.62 inference(monotonicity,[status(thm)],[26887])).
% 8.61/6.62 tff(26889,plain,
% 8.61/6.62 (v193(VarCurr!0) <=> v193(constB51)),
% 8.61/6.62 inference(symmetry,[status(thm)],[26888])).
% 8.61/6.62 tff(26890,plain,
% 8.61/6.62 (v193(constB51)),
% 8.61/6.62 inference(modus_ponens,[status(thm)],[59, 26889])).
% 8.61/6.62 tff(26891,plain,
% 8.61/6.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB50, constB51)) | (v193(constB51) <=> v191(constB50)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB50, constB51)) | (v193(constB51) <=> v191(constB50)))),
% 8.61/6.62 inference(rewrite,[status(thm)],[])).
% 8.61/6.62 tff(26892,plain,
% 8.61/6.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB50, constB51)) | (v193(constB51) <=> v191(constB50)))),
% 8.61/6.62 inference(quant_inst,[status(thm)],[])).
% 8.61/6.62 tff(26893,plain,
% 8.61/6.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB50, constB51)) | (v193(constB51) <=> v191(constB50))),
% 8.61/6.62 inference(modus_ponens,[status(thm)],[26892, 26891])).
% 8.61/6.62 tff(26894,plain,
% 8.61/6.62 (v193(constB51) <=> v191(constB50)),
% 8.61/6.62 inference(unit_resolution,[status(thm)],[26893, 1542, 70])).
% 8.61/6.62 tff(26895,plain,
% 8.61/6.62 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB50) <=> (v194(constB50) | v198(constB50)))),
% 8.61/6.62 inference(quant_inst,[status(thm)],[])).
% 8.61/6.62 tff(26896,plain,
% 8.61/6.62 (v191(constB50) <=> (v194(constB50) | v198(constB50))),
% 8.61/6.62 inference(unit_resolution,[status(thm)],[26895, 84])).
% 8.61/6.62 tff(26897,plain,
% 8.61/6.62 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB50) <=> (~((~v199(constB50)) | (~v200(constB50)))))),
% 8.61/6.62 inference(quant_inst,[status(thm)],[])).
% 8.61/6.62 tff(26898,plain,
% 8.61/6.62 (v198(constB50) <=> (~((~v199(constB50)) | (~v200(constB50))))),
% 8.61/6.62 inference(unit_resolution,[status(thm)],[26897, 96])).
% 8.61/6.62 tff(26899,plain,
% 8.61/6.62 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB50) <=> (~((~v197(constB50)) | (~v201(constB50)))))),
% 8.61/6.62 inference(quant_inst,[status(thm)],[])).
% 8.61/6.62 tff(26900,plain,
% 8.61/6.62 (v200(constB50) <=> (~((~v197(constB50)) | (~v201(constB50))))),
% 8.61/6.62 inference(unit_resolution,[status(thm)],[26899, 108])).
% 8.61/6.62 tff(26901,plain,
% 8.61/6.62 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB50) <=> (~((~v39(constB50)) | (~v9(constB50)))))),
% 8.61/6.62 inference(quant_inst,[status(thm)],[])).
% 8.61/6.62 tff(26902,plain,
% 8.61/6.62 (v197(constB50) <=> (~((~v39(constB50)) | (~v9(constB50))))),
% 8.61/6.62 inference(unit_resolution,[status(thm)],[26901, 120])).
% 8.61/6.62 tff(26903,plain,
% 8.61/6.62 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB50)) <=> v1(constB50))),
% 8.61/6.62 inference(quant_inst,[status(thm)],[])).
% 8.61/6.62 tff(26904,plain,
% 8.61/6.62 ((~v39(constB50)) <=> v1(constB50)),
% 8.61/6.62 inference(unit_resolution,[status(thm)],[26903, 129])).
% 8.61/6.62 tff(26905,plain,
% 8.61/6.62 ((~((~v39(constB50)) <=> v1(constB50))) | (~v39(constB50)) | (~v1(constB50))),
% 8.61/6.62 inference(tautology,[status(thm)],[])).
% 8.61/6.62 tff(26906,plain,
% 8.61/6.62 ((~((~v39(constB50)) <=> v1(constB50))) | (~v39(constB50))),
% 8.61/6.62 inference(unit_resolution,[status(thm)],[26905, 7304])).
% 8.61/6.62 tff(26907,plain,
% 8.61/6.62 (~v39(constB50)),
% 8.61/6.62 inference(unit_resolution,[status(thm)],[26906, 26904])).
% 8.61/6.62 tff(26908,plain,
% 8.61/6.62 (((~v39(constB50)) | (~v9(constB50))) | v39(constB50)),
% 8.61/6.62 inference(tautology,[status(thm)],[])).
% 8.61/6.62 tff(26909,plain,
% 8.61/6.62 ((~v39(constB50)) | (~v9(constB50))),
% 8.61/6.62 inference(unit_resolution,[status(thm)],[26908, 26907])).
% 8.61/6.62 tff(26910,plain,
% 8.61/6.62 ((~(v197(constB50) <=> (~((~v39(constB50)) | (~v9(constB50)))))) | (~v197(constB50)) | (~((~v39(constB50)) | (~v9(constB50))))),
% 8.61/6.62 inference(tautology,[status(thm)],[])).
% 8.61/6.62 tff(26911,plain,
% 8.61/6.62 ((~(v197(constB50) <=> (~((~v39(constB50)) | (~v9(constB50)))))) | (~v197(constB50))),
% 8.61/6.62 inference(unit_resolution,[status(thm)],[26910, 26909])).
% 8.61/6.62 tff(26912,plain,
% 8.61/6.62 (~v197(constB50)),
% 8.61/6.62 inference(unit_resolution,[status(thm)],[26911, 26902])).
% 8.61/6.62 tff(26913,plain,
% 8.61/6.62 (((~v197(constB50)) | (~v201(constB50))) | v197(constB50)),
% 8.61/6.62 inference(tautology,[status(thm)],[])).
% 8.61/6.62 tff(26914,plain,
% 8.61/6.62 ((~v197(constB50)) | (~v201(constB50))),
% 8.61/6.62 inference(unit_resolution,[status(thm)],[26913, 26912])).
% 8.61/6.62 tff(26915,plain,
% 8.61/6.62 ((~(v200(constB50) <=> (~((~v197(constB50)) | (~v201(constB50)))))) | (~v200(constB50)) | (~((~v197(constB50)) | (~v201(constB50))))),
% 8.61/6.62 inference(tautology,[status(thm)],[])).
% 8.61/6.62 tff(26916,plain,
% 8.61/6.62 ((~(v200(constB50) <=> (~((~v197(constB50)) | (~v201(constB50)))))) | (~v200(constB50))),
% 8.61/6.62 inference(unit_resolution,[status(thm)],[26915, 26914])).
% 8.61/6.62 tff(26917,plain,
% 8.61/6.62 (~v200(constB50)),
% 8.61/6.62 inference(unit_resolution,[status(thm)],[26916, 26900])).
% 8.61/6.62 tff(26918,plain,
% 8.61/6.62 (((~v199(constB50)) | (~v200(constB50))) | v200(constB50)),
% 8.61/6.62 inference(tautology,[status(thm)],[])).
% 8.61/6.62 tff(26919,plain,
% 8.61/6.62 ((~v199(constB50)) | (~v200(constB50))),
% 8.61/6.62 inference(unit_resolution,[status(thm)],[26918, 26917])).
% 8.61/6.62 tff(26920,plain,
% 8.61/6.62 ((~(v198(constB50) <=> (~((~v199(constB50)) | (~v200(constB50)))))) | (~v198(constB50)) | (~((~v199(constB50)) | (~v200(constB50))))),
% 8.61/6.62 inference(tautology,[status(thm)],[])).
% 8.61/6.62 tff(26921,plain,
% 8.61/6.62 (~v198(constB50)),
% 8.61/6.62 inference(unit_resolution,[status(thm)],[26920, 26919, 26898])).
% 8.61/6.62 tff(26922,plain,
% 8.61/6.62 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB50) <=> (~((~v157(constB50)) | (~v195(constB50)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB50) <=> (~((~v157(constB50)) | (~v195(constB50))))))),
% 8.61/6.62 inference(rewrite,[status(thm)],[])).
% 8.61/6.62 tff(26923,plain,
% 8.61/6.62 ((v194(constB50) <=> (~((~v195(constB50)) | (~v157(constB50))))) <=> (v194(constB50) <=> (~((~v157(constB50)) | (~v195(constB50)))))),
% 8.61/6.62 inference(rewrite,[status(thm)],[])).
% 8.61/6.62 tff(26924,plain,
% 8.61/6.62 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB50) <=> (~((~v195(constB50)) | (~v157(constB50)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB50) <=> (~((~v157(constB50)) | (~v195(constB50))))))),
% 8.61/6.62 inference(monotonicity,[status(thm)],[26923])).
% 8.61/6.62 tff(26925,plain,
% 8.61/6.62 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB50) <=> (~((~v195(constB50)) | (~v157(constB50)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB50) <=> (~((~v157(constB50)) | (~v195(constB50))))))),
% 8.61/6.62 inference(transitivity,[status(thm)],[26924, 26922])).
% 8.61/6.62 tff(26926,plain,
% 8.61/6.62 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB50) <=> (~((~v195(constB50)) | (~v157(constB50)))))),
% 8.61/6.62 inference(quant_inst,[status(thm)],[])).
% 8.61/6.62 tff(26927,plain,
% 8.61/6.62 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB50) <=> (~((~v157(constB50)) | (~v195(constB50)))))),
% 8.61/6.62 inference(modus_ponens,[status(thm)],[26926, 26925])).
% 8.61/6.62 tff(26928,plain,
% 8.61/6.62 (v194(constB50) <=> (~((~v157(constB50)) | (~v195(constB50))))),
% 8.61/6.62 inference(unit_resolution,[status(thm)],[26927, 161])).
% 8.61/6.62 tff(26929,plain,
% 8.61/6.62 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB50) <=> v193(constB50))),
% 8.61/6.62 inference(quant_inst,[status(thm)],[])).
% 8.61/6.62 tff(26930,plain,
% 8.61/6.62 (v157(constB50) <=> v193(constB50)),
% 8.61/6.62 inference(unit_resolution,[status(thm)],[26929, 13])).
% 8.61/6.62 tff(26931,plain,
% 8.61/6.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB49, constB50)) | (v193(constB50) <=> v191(constB49)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB49, constB50)) | (v193(constB50) <=> v191(constB49)))),
% 8.61/6.62 inference(rewrite,[status(thm)],[])).
% 8.61/6.62 tff(26932,plain,
% 8.61/6.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB49, constB50)) | (v193(constB50) <=> v191(constB49)))),
% 8.61/6.62 inference(quant_inst,[status(thm)],[])).
% 8.61/6.62 tff(26933,plain,
% 8.61/6.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB49, constB50)) | (v193(constB50) <=> v191(constB49))),
% 8.61/6.62 inference(modus_ponens,[status(thm)],[26932, 26931])).
% 8.61/6.62 tff(26934,plain,
% 8.61/6.62 (v193(constB50) <=> v191(constB49)),
% 8.61/6.62 inference(unit_resolution,[status(thm)],[26933, 1578, 70])).
% 8.61/6.62 tff(26935,plain,
% 8.61/6.62 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB49) <=> (v194(constB49) | v198(constB49)))),
% 8.61/6.62 inference(quant_inst,[status(thm)],[])).
% 8.61/6.62 tff(26936,plain,
% 8.61/6.62 (v191(constB49) <=> (v194(constB49) | v198(constB49))),
% 8.61/6.62 inference(unit_resolution,[status(thm)],[26935, 84])).
% 8.61/6.62 tff(26937,plain,
% 8.61/6.62 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB49) <=> (~((~v157(constB49)) | (~v195(constB49)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB49) <=> (~((~v157(constB49)) | (~v195(constB49))))))),
% 8.61/6.62 inference(rewrite,[status(thm)],[])).
% 8.61/6.62 tff(26938,plain,
% 8.61/6.62 ((v194(constB49) <=> (~((~v195(constB49)) | (~v157(constB49))))) <=> (v194(constB49) <=> (~((~v157(constB49)) | (~v195(constB49)))))),
% 8.61/6.62 inference(rewrite,[status(thm)],[])).
% 8.61/6.62 tff(26939,plain,
% 8.61/6.62 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB49) <=> (~((~v195(constB49)) | (~v157(constB49)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB49) <=> (~((~v157(constB49)) | (~v195(constB49))))))),
% 8.61/6.62 inference(monotonicity,[status(thm)],[26938])).
% 8.61/6.62 tff(26940,plain,
% 8.61/6.62 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB49) <=> (~((~v195(constB49)) | (~v157(constB49)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB49) <=> (~((~v157(constB49)) | (~v195(constB49))))))),
% 8.61/6.62 inference(transitivity,[status(thm)],[26939, 26937])).
% 8.61/6.62 tff(26941,plain,
% 8.61/6.62 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB49) <=> (~((~v195(constB49)) | (~v157(constB49)))))),
% 8.61/6.62 inference(quant_inst,[status(thm)],[])).
% 8.61/6.62 tff(26942,plain,
% 8.61/6.62 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB49) <=> (~((~v157(constB49)) | (~v195(constB49)))))),
% 8.61/6.62 inference(modus_ponens,[status(thm)],[26941, 26940])).
% 8.61/6.62 tff(26943,plain,
% 8.61/6.62 (v194(constB49) <=> (~((~v157(constB49)) | (~v195(constB49))))),
% 8.61/6.62 inference(unit_resolution,[status(thm)],[26942, 161])).
% 8.61/6.62 tff(26944,plain,
% 8.61/6.62 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB49)) <=> v196(constB49))),
% 8.61/6.62 inference(quant_inst,[status(thm)],[])).
% 8.61/6.62 tff(26945,plain,
% 8.61/6.62 ((~v195(constB49)) <=> v196(constB49)),
% 8.61/6.62 inference(unit_resolution,[status(thm)],[26944, 193])).
% 8.61/6.62 tff(26946,plain,
% 8.61/6.62 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB49) <=> (v197(constB49) | v26(constB49)))),
% 8.61/6.62 inference(quant_inst,[status(thm)],[])).
% 8.61/6.62 tff(26947,plain,
% 8.61/6.62 (v196(constB49) <=> (v197(constB49) | v26(constB49))),
% 8.61/6.62 inference(unit_resolution,[status(thm)],[26946, 202])).
% 8.61/6.62 tff(26948,plain,
% 8.61/6.62 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB49) <=> (~((~v39(constB49)) | (~v9(constB49)))))),
% 8.61/6.62 inference(quant_inst,[status(thm)],[])).
% 8.61/6.62 tff(26949,plain,
% 8.61/6.62 (v197(constB49) <=> (~((~v39(constB49)) | (~v9(constB49))))),
% 8.61/6.62 inference(unit_resolution,[status(thm)],[26948, 120])).
% 8.61/6.62 tff(26950,plain,
% 8.61/6.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB49, constB50)) | (v13(constB50) <=> v9(constB49)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB49, constB50)) | (v13(constB50) <=> v9(constB49)))),
% 8.61/6.62 inference(rewrite,[status(thm)],[])).
% 8.61/6.62 tff(26951,plain,
% 8.61/6.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB49, constB50)) | (v13(constB50) <=> v9(constB49)))),
% 8.61/6.62 inference(quant_inst,[status(thm)],[])).
% 8.61/6.62 tff(26952,plain,
% 8.61/6.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB49, constB50)) | (v13(constB50) <=> v9(constB49))),
% 8.61/6.62 inference(modus_ponens,[status(thm)],[26951, 26950])).
% 8.61/6.62 tff(26953,plain,
% 8.61/6.62 (v13(constB50) <=> v9(constB49)),
% 8.61/6.62 inference(unit_resolution,[status(thm)],[26952, 1578, 216])).
% 8.61/6.62 tff(26954,plain,
% 8.61/6.62 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB50) <=> v13(constB50))),
% 8.61/6.62 inference(quant_inst,[status(thm)],[])).
% 8.61/6.62 tff(26955,plain,
% 8.61/6.62 (v6(constB50) <=> v13(constB50)),
% 8.61/6.62 inference(unit_resolution,[status(thm)],[26954, 230])).
% 8.61/6.62 tff(26956,plain,
% 8.61/6.62 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB50)) <=> v6(constB50))),
% 8.61/6.62 inference(quant_inst,[status(thm)],[])).
% 8.61/6.62 tff(26957,plain,
% 8.61/6.62 ((~v21(constB50)) <=> v6(constB50)),
% 8.61/6.62 inference(unit_resolution,[status(thm)],[26956, 239])).
% 8.61/6.62 tff(26958,plain,
% 8.61/6.62 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB50) <=> (v20(constB50) | v21(constB50)))),
% 8.61/6.62 inference(quant_inst,[status(thm)],[])).
% 8.61/6.62 tff(26959,plain,
% 8.61/6.62 (v19(constB50) <=> (v20(constB50) | v21(constB50))),
% 8.61/6.62 inference(unit_resolution,[status(thm)],[26958, 248])).
% 8.61/6.62 tff(26960,plain,
% 8.61/6.62 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB50) <=> (~((~v19(constB50)) | (~v22(constB50)))))),
% 8.61/6.62 inference(quant_inst,[status(thm)],[])).
% 8.61/6.62 tff(26961,plain,
% 8.61/6.62 (v18(constB50) <=> (~((~v19(constB50)) | (~v22(constB50))))),
% 8.61/6.62 inference(unit_resolution,[status(thm)],[26960, 260])).
% 8.61/6.62 tff(26962,plain,
% 8.61/6.62 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB50)) <=> v18(constB50))),
% 8.61/6.62 inference(quant_inst,[status(thm)],[])).
% 8.61/6.62 tff(26963,plain,
% 8.61/6.62 ((~v4(constB50)) <=> v18(constB50)),
% 8.61/6.62 inference(unit_resolution,[status(thm)],[26962, 269])).
% 8.61/6.62 tff(26964,plain,
% 8.61/6.62 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB50)),
% 8.61/6.62 inference(quant_inst,[status(thm)],[])).
% 8.61/6.62 tff(26965,plain,
% 8.61/6.62 (v4(constB50)),
% 8.61/6.62 inference(unit_resolution,[status(thm)],[26964, 278])).
% 8.61/6.62 tff(26966,plain,
% 8.61/6.62 ((~((~v4(constB50)) <=> v18(constB50))) | (~v4(constB50)) | (~v18(constB50))),
% 8.61/6.62 inference(tautology,[status(thm)],[])).
% 8.61/6.62 tff(26967,plain,
% 8.61/6.62 (~v18(constB50)),
% 8.61/6.62 inference(unit_resolution,[status(thm)],[26966, 26965, 26963])).
% 8.61/6.62 tff(26968,plain,
% 8.61/6.62 ((~(v18(constB50) <=> (~((~v19(constB50)) | (~v22(constB50)))))) | v18(constB50) | ((~v19(constB50)) | (~v22(constB50)))),
% 8.61/6.62 inference(tautology,[status(thm)],[])).
% 8.61/6.62 tff(26969,plain,
% 8.61/6.62 ((~v19(constB50)) | (~v22(constB50))),
% 8.61/6.62 inference(unit_resolution,[status(thm)],[26968, 26967, 26961])).
% 8.61/6.62 tff(26970,plain,
% 8.61/6.62 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB50) <=> (v1(constB50) | v6(constB50)))),
% 8.61/6.62 inference(quant_inst,[status(thm)],[])).
% 8.61/6.62 tff(26971,plain,
% 8.61/6.62 (v22(constB50) <=> (v1(constB50) | v6(constB50))),
% 8.61/6.62 inference(unit_resolution,[status(thm)],[26970, 291])).
% 8.61/6.62 tff(26972,plain,
% 8.61/6.62 ((v1(constB50) | v6(constB50)) | (~v1(constB50))),
% 8.61/6.62 inference(tautology,[status(thm)],[])).
% 8.61/6.62 tff(26973,plain,
% 8.61/6.62 (v1(constB50) | v6(constB50)),
% 8.61/6.62 inference(unit_resolution,[status(thm)],[26972, 7304])).
% 8.61/6.62 tff(26974,plain,
% 8.61/6.62 ((~(v22(constB50) <=> (v1(constB50) | v6(constB50)))) | v22(constB50) | (~(v1(constB50) | v6(constB50)))),
% 8.61/6.62 inference(tautology,[status(thm)],[])).
% 8.61/6.62 tff(26975,plain,
% 8.61/6.62 ((~(v22(constB50) <=> (v1(constB50) | v6(constB50)))) | v22(constB50)),
% 8.61/6.62 inference(unit_resolution,[status(thm)],[26974, 26973])).
% 8.61/6.62 tff(26976,plain,
% 8.61/6.62 (v22(constB50)),
% 8.61/6.62 inference(unit_resolution,[status(thm)],[26975, 26971])).
% 8.61/6.62 tff(26977,plain,
% 8.61/6.62 ((~((~v19(constB50)) | (~v22(constB50)))) | (~v19(constB50)) | (~v22(constB50))),
% 8.61/6.62 inference(tautology,[status(thm)],[])).
% 8.61/6.62 tff(26978,plain,
% 8.61/6.62 ((~((~v19(constB50)) | (~v22(constB50)))) | (~v19(constB50))),
% 8.61/6.62 inference(unit_resolution,[status(thm)],[26977, 26976])).
% 8.61/6.62 tff(26979,plain,
% 8.61/6.62 (~v19(constB50)),
% 8.61/6.62 inference(unit_resolution,[status(thm)],[26978, 26969])).
% 8.61/6.62 tff(26980,plain,
% 8.61/6.62 ((~(v19(constB50) <=> (v20(constB50) | v21(constB50)))) | v19(constB50) | (~(v20(constB50) | v21(constB50)))),
% 8.61/6.62 inference(tautology,[status(thm)],[])).
% 8.61/6.62 tff(26981,plain,
% 8.61/6.62 (~(v20(constB50) | v21(constB50))),
% 8.61/6.62 inference(unit_resolution,[status(thm)],[26980, 26979, 26959])).
% 8.61/6.62 tff(26982,plain,
% 8.61/6.62 ((v20(constB50) | v21(constB50)) | (~v21(constB50))),
% 8.61/6.62 inference(tautology,[status(thm)],[])).
% 8.61/6.62 tff(26983,plain,
% 8.61/6.62 (~v21(constB50)),
% 8.61/6.62 inference(unit_resolution,[status(thm)],[26982, 26981])).
% 8.61/6.62 tff(26984,plain,
% 8.61/6.62 ((~((~v21(constB50)) <=> v6(constB50))) | v21(constB50) | v6(constB50)),
% 8.61/6.62 inference(tautology,[status(thm)],[])).
% 8.61/6.62 tff(26985,plain,
% 8.61/6.62 (v6(constB50)),
% 8.61/6.62 inference(unit_resolution,[status(thm)],[26984, 26983, 26957])).
% 8.61/6.62 tff(26986,plain,
% 8.61/6.62 ((~(v6(constB50) <=> v13(constB50))) | (~v6(constB50)) | v13(constB50)),
% 8.61/6.62 inference(tautology,[status(thm)],[])).
% 8.61/6.62 tff(26987,plain,
% 8.61/6.62 (v13(constB50)),
% 8.61/6.62 inference(unit_resolution,[status(thm)],[26986, 26985, 26955])).
% 8.61/6.62 tff(26988,plain,
% 8.61/6.62 ((~(v13(constB50) <=> v9(constB49))) | (~v13(constB50)) | v9(constB49)),
% 8.61/6.62 inference(tautology,[status(thm)],[])).
% 8.61/6.62 tff(26989,plain,
% 8.61/6.62 (v9(constB49)),
% 8.61/6.62 inference(unit_resolution,[status(thm)],[26988, 26987, 26953])).
% 8.61/6.62 tff(26990,plain,
% 8.61/6.62 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB49)) <=> v1(constB49))),
% 8.61/6.62 inference(quant_inst,[status(thm)],[])).
% 8.61/6.62 tff(26991,plain,
% 8.61/6.62 ((~v39(constB49)) <=> v1(constB49)),
% 8.61/6.62 inference(unit_resolution,[status(thm)],[26990, 129])).
% 8.61/6.62 tff(26992,plain,
% 8.61/6.62 ((~((~v39(constB49)) <=> v1(constB49))) | v39(constB49) | v1(constB49)),
% 8.61/6.62 inference(tautology,[status(thm)],[])).
% 8.61/6.62 tff(26993,plain,
% 8.61/6.62 ((~((~v39(constB49)) <=> v1(constB49))) | v39(constB49)),
% 8.61/6.62 inference(unit_resolution,[status(thm)],[26992, 1622])).
% 8.61/6.62 tff(26994,plain,
% 8.61/6.62 (v39(constB49)),
% 8.61/6.62 inference(unit_resolution,[status(thm)],[26993, 26991])).
% 8.61/6.62 tff(26995,plain,
% 8.61/6.62 ((~((~v39(constB49)) | (~v9(constB49)))) | (~v39(constB49)) | (~v9(constB49))),
% 8.61/6.62 inference(tautology,[status(thm)],[])).
% 8.61/6.62 tff(26996,plain,
% 8.61/6.62 ((~((~v39(constB49)) | (~v9(constB49)))) | (~v9(constB49))),
% 8.61/6.62 inference(unit_resolution,[status(thm)],[26995, 26994])).
% 8.61/6.62 tff(26997,plain,
% 8.61/6.62 (~((~v39(constB49)) | (~v9(constB49)))),
% 8.61/6.62 inference(unit_resolution,[status(thm)],[26996, 26989])).
% 8.61/6.62 tff(26998,plain,
% 8.61/6.62 ((~(v197(constB49) <=> (~((~v39(constB49)) | (~v9(constB49)))))) | v197(constB49) | ((~v39(constB49)) | (~v9(constB49)))),
% 8.71/6.62 inference(tautology,[status(thm)],[])).
% 8.71/6.62 tff(26999,plain,
% 8.71/6.62 (v197(constB49)),
% 8.71/6.62 inference(unit_resolution,[status(thm)],[26998, 26997, 26949])).
% 8.71/6.62 tff(27000,plain,
% 8.71/6.62 ((v197(constB49) | v26(constB49)) | (~v197(constB49))),
% 8.71/6.62 inference(tautology,[status(thm)],[])).
% 8.71/6.62 tff(27001,plain,
% 8.71/6.62 (v197(constB49) | v26(constB49)),
% 8.71/6.62 inference(unit_resolution,[status(thm)],[27000, 26999])).
% 8.71/6.62 tff(27002,plain,
% 8.71/6.62 ((~(v196(constB49) <=> (v197(constB49) | v26(constB49)))) | v196(constB49) | (~(v197(constB49) | v26(constB49)))),
% 8.71/6.62 inference(tautology,[status(thm)],[])).
% 8.71/6.62 tff(27003,plain,
% 8.71/6.62 (v196(constB49)),
% 8.71/6.62 inference(unit_resolution,[status(thm)],[27002, 27001, 26947])).
% 8.71/6.62 tff(27004,plain,
% 8.71/6.62 ((~((~v195(constB49)) <=> v196(constB49))) | (~v195(constB49)) | (~v196(constB49))),
% 8.71/6.62 inference(tautology,[status(thm)],[])).
% 8.71/6.62 tff(27005,plain,
% 8.71/6.62 (~v195(constB49)),
% 8.71/6.62 inference(unit_resolution,[status(thm)],[27004, 27003, 26945])).
% 8.71/6.62 tff(27006,plain,
% 8.71/6.62 (((~v157(constB49)) | (~v195(constB49))) | v195(constB49)),
% 8.71/6.62 inference(tautology,[status(thm)],[])).
% 8.71/6.62 tff(27007,plain,
% 8.71/6.62 ((~v157(constB49)) | (~v195(constB49))),
% 8.71/6.62 inference(unit_resolution,[status(thm)],[27006, 27005])).
% 8.71/6.62 tff(27008,plain,
% 8.71/6.62 ((~(v194(constB49) <=> (~((~v157(constB49)) | (~v195(constB49)))))) | (~v194(constB49)) | (~((~v157(constB49)) | (~v195(constB49))))),
% 8.71/6.62 inference(tautology,[status(thm)],[])).
% 8.71/6.62 tff(27009,plain,
% 8.71/6.62 (~v194(constB49)),
% 8.71/6.62 inference(unit_resolution,[status(thm)],[27008, 27007, 26943])).
% 8.71/6.62 tff(27010,plain,
% 8.71/6.62 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB49) <=> (~((~v199(constB49)) | (~v200(constB49)))))),
% 8.71/6.62 inference(quant_inst,[status(thm)],[])).
% 8.71/6.62 tff(27011,plain,
% 8.71/6.62 (v198(constB49) <=> (~((~v199(constB49)) | (~v200(constB49))))),
% 8.71/6.62 inference(unit_resolution,[status(thm)],[27010, 96])).
% 8.71/6.62 tff(27012,plain,
% 8.71/6.62 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB49) <=> (~((~v197(constB49)) | (~v201(constB49)))))),
% 8.71/6.62 inference(quant_inst,[status(thm)],[])).
% 8.71/6.62 tff(27013,plain,
% 8.71/6.62 (v200(constB49) <=> (~((~v197(constB49)) | (~v201(constB49))))),
% 8.71/6.62 inference(unit_resolution,[status(thm)],[27012, 108])).
% 8.71/6.62 tff(27014,plain,
% 8.71/6.62 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB49) <=> (~((~v159(constB49)) | (~v161(constB49)))))),
% 8.71/6.62 inference(quant_inst,[status(thm)],[])).
% 8.71/6.62 tff(27015,plain,
% 8.71/6.62 (v201(constB49) <=> (~((~v159(constB49)) | (~v161(constB49))))),
% 8.71/6.62 inference(unit_resolution,[status(thm)],[27014, 348])).
% 8.71/6.62 tff(27016,plain,
% 8.71/6.62 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB49) <=> v163(constB49))),
% 8.71/6.62 inference(quant_inst,[status(thm)],[])).
% 8.71/6.62 tff(27017,plain,
% 8.71/6.62 (v161(constB49) <=> v163(constB49)),
% 8.71/6.62 inference(unit_resolution,[status(thm)],[27016, 357])).
% 8.71/6.62 tff(27018,plain,
% 8.71/6.62 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB49) <=> (v145(constB49) | v167(constB49)))),
% 8.71/6.62 inference(quant_inst,[status(thm)],[])).
% 8.71/6.62 tff(27019,plain,
% 8.71/6.62 (v166(constB49) <=> (v145(constB49) | v167(constB49))),
% 8.71/6.62 inference(unit_resolution,[status(thm)],[27018, 369])).
% 8.71/6.62 tff(27020,plain,
% 8.71/6.62 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB49) <=> (v142(constB49) | v168(constB49)))),
% 8.71/6.62 inference(quant_inst,[status(thm)],[])).
% 8.71/6.62 tff(27021,plain,
% 8.71/6.62 (v167(constB49) <=> (v142(constB49) | v168(constB49))),
% 8.71/6.62 inference(unit_resolution,[status(thm)],[27020, 381])).
% 8.71/6.62 tff(27022,plain,
% 8.71/6.62 ((v142(constB49) | v168(constB49)) | (~v142(constB49))),
% 8.71/6.62 inference(tautology,[status(thm)],[])).
% 8.71/6.62 tff(27023,plain,
% 8.71/6.62 (v142(constB49) | v168(constB49)),
% 8.71/6.62 inference(unit_resolution,[status(thm)],[27022, 25646])).
% 8.71/6.62 tff(27024,plain,
% 8.71/6.62 ((~(v167(constB49) <=> (v142(constB49) | v168(constB49)))) | v167(constB49) | (~(v142(constB49) | v168(constB49)))),
% 8.71/6.62 inference(tautology,[status(thm)],[])).
% 8.71/6.62 tff(27025,plain,
% 8.71/6.62 ((~(v167(constB49) <=> (v142(constB49) | v168(constB49)))) | v167(constB49)),
% 8.71/6.62 inference(unit_resolution,[status(thm)],[27024, 27023])).
% 8.71/6.62 tff(27026,plain,
% 8.71/6.62 (v167(constB49)),
% 8.71/6.62 inference(unit_resolution,[status(thm)],[27025, 27021])).
% 8.71/6.62 tff(27027,plain,
% 8.71/6.62 ((v145(constB49) | v167(constB49)) | (~v167(constB49))),
% 8.71/6.62 inference(tautology,[status(thm)],[])).
% 8.71/6.62 tff(27028,plain,
% 8.71/6.62 (v145(constB49) | v167(constB49)),
% 8.71/6.62 inference(unit_resolution,[status(thm)],[27027, 27026])).
% 8.71/6.62 tff(27029,plain,
% 8.71/6.62 ((~(v166(constB49) <=> (v145(constB49) | v167(constB49)))) | v166(constB49) | (~(v145(constB49) | v167(constB49)))),
% 8.71/6.62 inference(tautology,[status(thm)],[])).
% 8.71/6.62 tff(27030,plain,
% 8.71/6.62 (v166(constB49)),
% 8.71/6.62 inference(unit_resolution,[status(thm)],[27029, 27028, 27019])).
% 8.71/6.62 tff(27031,plain,
% 8.71/6.62 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB49)) | (v163(constB49) <=> v170(constB49)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB49)) | (v163(constB49) <=> v170(constB49)))),
% 8.71/6.62 inference(rewrite,[status(thm)],[])).
% 8.71/6.62 tff(27032,plain,
% 8.71/6.62 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB49)) | (v163(constB49) <=> v170(constB49)))),
% 8.71/6.62 inference(quant_inst,[status(thm)],[])).
% 8.71/6.62 tff(27033,plain,
% 8.71/6.62 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB49)) | (v163(constB49) <=> v170(constB49))),
% 8.71/6.62 inference(modus_ponens,[status(thm)],[27032, 27031])).
% 8.71/6.62 tff(27034,plain,
% 8.71/6.62 ((~v166(constB49)) | (v163(constB49) <=> v170(constB49))),
% 8.71/6.62 inference(unit_resolution,[status(thm)],[27033, 9851])).
% 8.71/6.62 tff(27035,plain,
% 8.71/6.62 (v163(constB49) <=> v170(constB49)),
% 8.71/6.62 inference(unit_resolution,[status(thm)],[27034, 27030])).
% 8.71/6.62 tff(27036,plain,
% 8.71/6.62 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB49) <=> (v142(constB49) | v150(constB49)))),
% 8.71/6.62 inference(quant_inst,[status(thm)],[])).
% 8.71/6.62 tff(27037,plain,
% 8.71/6.62 (v171(constB49) <=> (v142(constB49) | v150(constB49))),
% 8.71/6.62 inference(unit_resolution,[status(thm)],[27036, 9866])).
% 8.71/6.62 tff(27038,plain,
% 8.71/6.62 ((v142(constB49) | v150(constB49)) | (~v142(constB49))),
% 8.71/6.62 inference(tautology,[status(thm)],[])).
% 8.71/6.62 tff(27039,plain,
% 8.71/6.62 (v142(constB49) | v150(constB49)),
% 8.71/6.62 inference(unit_resolution,[status(thm)],[27038, 25646])).
% 8.71/6.62 tff(27040,plain,
% 8.71/6.62 ((~(v171(constB49) <=> (v142(constB49) | v150(constB49)))) | v171(constB49) | (~(v142(constB49) | v150(constB49)))),
% 8.71/6.62 inference(tautology,[status(thm)],[])).
% 8.71/6.62 tff(27041,plain,
% 8.71/6.62 ((~(v171(constB49) <=> (v142(constB49) | v150(constB49)))) | v171(constB49)),
% 8.71/6.62 inference(unit_resolution,[status(thm)],[27040, 27039])).
% 8.71/6.62 tff(27042,plain,
% 8.71/6.62 (v171(constB49)),
% 8.71/6.62 inference(unit_resolution,[status(thm)],[27041, 27037])).
% 8.71/6.62 tff(27043,plain,
% 8.71/6.62 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB49)) | (~v171(constB49)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB49)) | (~v171(constB49)))),
% 8.71/6.62 inference(rewrite,[status(thm)],[])).
% 8.71/6.62 tff(27044,plain,
% 8.71/6.62 (((~v171(constB49)) | (~v170(constB49))) <=> ((~v170(constB49)) | (~v171(constB49)))),
% 8.71/6.62 inference(rewrite,[status(thm)],[])).
% 8.71/6.62 tff(27045,plain,
% 8.71/6.62 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB49)) | (~v170(constB49)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB49)) | (~v171(constB49))))),
% 8.71/6.62 inference(monotonicity,[status(thm)],[27044])).
% 8.71/6.62 tff(27046,plain,
% 8.71/6.62 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB49)) | (~v170(constB49)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB49)) | (~v171(constB49)))),
% 8.71/6.62 inference(transitivity,[status(thm)],[27045, 27043])).
% 8.71/6.62 tff(27047,plain,
% 8.71/6.62 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB49)) | (~v170(constB49)))),
% 8.71/6.62 inference(quant_inst,[status(thm)],[])).
% 8.71/6.62 tff(27048,plain,
% 8.71/6.62 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB49)) | (~v171(constB49))),
% 8.71/6.62 inference(modus_ponens,[status(thm)],[27047, 27046])).
% 8.71/6.62 tff(27049,plain,
% 8.71/6.62 (~v170(constB49)),
% 8.71/6.62 inference(unit_resolution,[status(thm)],[27048, 9899, 27042])).
% 8.71/6.62 tff(27050,plain,
% 8.71/6.62 ((~(v163(constB49) <=> v170(constB49))) | (~v163(constB49)) | v170(constB49)),
% 8.71/6.62 inference(tautology,[status(thm)],[])).
% 8.71/6.62 tff(27051,plain,
% 8.71/6.62 (~v163(constB49)),
% 8.71/6.62 inference(unit_resolution,[status(thm)],[27050, 27049, 27035])).
% 8.71/6.62 tff(27052,plain,
% 8.71/6.62 ((~(v161(constB49) <=> v163(constB49))) | (~v161(constB49)) | v163(constB49)),
% 8.71/6.62 inference(tautology,[status(thm)],[])).
% 8.71/6.62 tff(27053,plain,
% 8.71/6.62 (~v161(constB49)),
% 8.71/6.62 inference(unit_resolution,[status(thm)],[27052, 27051, 27017])).
% 8.71/6.62 tff(27054,plain,
% 8.71/6.62 (((~v159(constB49)) | (~v161(constB49))) | v161(constB49)),
% 8.71/6.62 inference(tautology,[status(thm)],[])).
% 8.71/6.62 tff(27055,plain,
% 8.71/6.62 ((~v159(constB49)) | (~v161(constB49))),
% 8.71/6.62 inference(unit_resolution,[status(thm)],[27054, 27053])).
% 8.71/6.62 tff(27056,plain,
% 8.71/6.62 ((~(v201(constB49) <=> (~((~v159(constB49)) | (~v161(constB49)))))) | (~v201(constB49)) | (~((~v159(constB49)) | (~v161(constB49))))),
% 8.71/6.62 inference(tautology,[status(thm)],[])).
% 8.71/6.62 tff(27057,plain,
% 8.71/6.62 (~v201(constB49)),
% 8.71/6.62 inference(unit_resolution,[status(thm)],[27056, 27055, 27015])).
% 8.71/6.62 tff(27058,plain,
% 8.71/6.62 (((~v197(constB49)) | (~v201(constB49))) | v201(constB49)),
% 8.71/6.62 inference(tautology,[status(thm)],[])).
% 8.71/6.62 tff(27059,plain,
% 8.71/6.62 ((~v197(constB49)) | (~v201(constB49))),
% 8.71/6.62 inference(unit_resolution,[status(thm)],[27058, 27057])).
% 8.71/6.62 tff(27060,plain,
% 8.71/6.62 ((~(v200(constB49) <=> (~((~v197(constB49)) | (~v201(constB49)))))) | (~v200(constB49)) | (~((~v197(constB49)) | (~v201(constB49))))),
% 8.71/6.62 inference(tautology,[status(thm)],[])).
% 8.71/6.62 tff(27061,plain,
% 8.71/6.62 (~v200(constB49)),
% 8.71/6.62 inference(unit_resolution,[status(thm)],[27060, 27059, 27013])).
% 8.71/6.62 tff(27062,plain,
% 8.71/6.62 (((~v199(constB49)) | (~v200(constB49))) | v200(constB49)),
% 8.71/6.62 inference(tautology,[status(thm)],[])).
% 8.71/6.62 tff(27063,plain,
% 8.71/6.62 ((~v199(constB49)) | (~v200(constB49))),
% 8.71/6.62 inference(unit_resolution,[status(thm)],[27062, 27061])).
% 8.71/6.62 tff(27064,plain,
% 8.71/6.62 ((~(v198(constB49) <=> (~((~v199(constB49)) | (~v200(constB49)))))) | (~v198(constB49)) | (~((~v199(constB49)) | (~v200(constB49))))),
% 8.71/6.62 inference(tautology,[status(thm)],[])).
% 8.71/6.62 tff(27065,plain,
% 8.71/6.62 (~v198(constB49)),
% 8.71/6.62 inference(unit_resolution,[status(thm)],[27064, 27063, 27011])).
% 8.71/6.62 tff(27066,plain,
% 8.71/6.62 ((~(v194(constB49) | v198(constB49))) | v194(constB49) | v198(constB49)),
% 8.71/6.62 inference(tautology,[status(thm)],[])).
% 8.71/6.62 tff(27067,plain,
% 8.71/6.62 (~(v194(constB49) | v198(constB49))),
% 8.71/6.62 inference(unit_resolution,[status(thm)],[27066, 27065, 27009])).
% 8.71/6.62 tff(27068,plain,
% 8.71/6.62 ((~(v191(constB49) <=> (v194(constB49) | v198(constB49)))) | (~v191(constB49)) | (v194(constB49) | v198(constB49))),
% 8.71/6.62 inference(tautology,[status(thm)],[])).
% 8.71/6.62 tff(27069,plain,
% 8.71/6.62 (~v191(constB49)),
% 8.71/6.62 inference(unit_resolution,[status(thm)],[27068, 27067, 26936])).
% 8.71/6.62 tff(27070,plain,
% 8.71/6.62 ((~(v193(constB50) <=> v191(constB49))) | (~v193(constB50)) | v191(constB49)),
% 8.71/6.62 inference(tautology,[status(thm)],[])).
% 8.71/6.62 tff(27071,plain,
% 8.71/6.62 (~v193(constB50)),
% 8.71/6.62 inference(unit_resolution,[status(thm)],[27070, 27069, 26934])).
% 8.71/6.62 tff(27072,plain,
% 8.71/6.62 ((~(v157(constB50) <=> v193(constB50))) | (~v157(constB50)) | v193(constB50)),
% 8.71/6.62 inference(tautology,[status(thm)],[])).
% 8.71/6.62 tff(27073,plain,
% 8.71/6.62 (~v157(constB50)),
% 8.71/6.62 inference(unit_resolution,[status(thm)],[27072, 27071, 26930])).
% 8.71/6.62 tff(27074,plain,
% 8.71/6.62 (((~v157(constB50)) | (~v195(constB50))) | v157(constB50)),
% 8.71/6.62 inference(tautology,[status(thm)],[])).
% 8.71/6.62 tff(27075,plain,
% 8.71/6.62 ((~v157(constB50)) | (~v195(constB50))),
% 8.71/6.62 inference(unit_resolution,[status(thm)],[27074, 27073])).
% 8.71/6.62 tff(27076,plain,
% 8.71/6.62 ((~(v194(constB50) <=> (~((~v157(constB50)) | (~v195(constB50)))))) | (~v194(constB50)) | (~((~v157(constB50)) | (~v195(constB50))))),
% 8.71/6.62 inference(tautology,[status(thm)],[])).
% 8.71/6.62 tff(27077,plain,
% 8.71/6.62 (~v194(constB50)),
% 8.71/6.62 inference(unit_resolution,[status(thm)],[27076, 27075, 26928])).
% 8.71/6.62 tff(27078,plain,
% 8.71/6.62 ((~(v194(constB50) | v198(constB50))) | v194(constB50) | v198(constB50)),
% 8.71/6.62 inference(tautology,[status(thm)],[])).
% 8.71/6.62 tff(27079,plain,
% 8.71/6.62 (~(v194(constB50) | v198(constB50))),
% 8.71/6.62 inference(unit_resolution,[status(thm)],[27078, 27077, 26921])).
% 8.71/6.62 tff(27080,plain,
% 8.71/6.62 ((~(v191(constB50) <=> (v194(constB50) | v198(constB50)))) | (~v191(constB50)) | (v194(constB50) | v198(constB50))),
% 8.71/6.62 inference(tautology,[status(thm)],[])).
% 8.71/6.62 tff(27081,plain,
% 8.71/6.62 (~v191(constB50)),
% 8.71/6.62 inference(unit_resolution,[status(thm)],[27080, 27079, 26896])).
% 8.71/6.62 tff(27082,plain,
% 8.71/6.62 ((~(v193(constB51) <=> v191(constB50))) | (~v193(constB51)) | v191(constB50)),
% 8.71/6.62 inference(tautology,[status(thm)],[])).
% 8.71/6.62 tff(27083,plain,
% 8.71/6.62 (~v193(constB51)),
% 8.71/6.62 inference(unit_resolution,[status(thm)],[27082, 27081, 26894])).
% 8.71/6.62 tff(27084,plain,
% 8.71/6.62 ($false),
% 8.71/6.62 inference(unit_resolution,[status(thm)],[27083, 26890])).
% 8.71/6.62 tff(27085,plain,(~(constB51 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.71/6.62 tff(27086,assumption,(constB31 = VarCurr!0), introduced(assumption)).
% 8.71/6.62 tff(27087,plain,
% 8.71/6.62 (v193(constB31) <=> v193(VarCurr!0)),
% 8.71/6.62 inference(monotonicity,[status(thm)],[27086])).
% 8.71/6.62 tff(27088,plain,
% 8.71/6.62 (v193(VarCurr!0) <=> v193(constB31)),
% 8.71/6.62 inference(symmetry,[status(thm)],[27087])).
% 8.71/6.62 tff(27089,plain,
% 8.71/6.62 (v193(constB31)),
% 8.71/6.62 inference(modus_ponens,[status(thm)],[59, 27088])).
% 8.71/6.62 tff(27090,plain,
% 8.71/6.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB30, constB31)) | (v193(constB31) <=> v191(constB30)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB30, constB31)) | (v193(constB31) <=> v191(constB30)))),
% 8.71/6.62 inference(rewrite,[status(thm)],[])).
% 8.71/6.62 tff(27091,plain,
% 8.71/6.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB30, constB31)) | (v193(constB31) <=> v191(constB30)))),
% 8.71/6.62 inference(quant_inst,[status(thm)],[])).
% 8.71/6.62 tff(27092,plain,
% 8.71/6.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB30, constB31)) | (v193(constB31) <=> v191(constB30))),
% 8.71/6.62 inference(modus_ponens,[status(thm)],[27091, 27090])).
% 8.71/6.62 tff(27093,plain,
% 8.71/6.62 (v193(constB31) <=> v191(constB30)),
% 8.71/6.62 inference(unit_resolution,[status(thm)],[27092, 2182, 70])).
% 8.71/6.62 tff(27094,plain,
% 8.71/6.62 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB30) <=> (v194(constB30) | v198(constB30)))),
% 8.71/6.62 inference(quant_inst,[status(thm)],[])).
% 8.71/6.62 tff(27095,plain,
% 8.71/6.62 (v191(constB30) <=> (v194(constB30) | v198(constB30))),
% 8.71/6.62 inference(unit_resolution,[status(thm)],[27094, 84])).
% 8.71/6.62 tff(27096,plain,
% 8.71/6.62 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB30) <=> (~((~v199(constB30)) | (~v200(constB30)))))),
% 8.71/6.62 inference(quant_inst,[status(thm)],[])).
% 8.71/6.62 tff(27097,plain,
% 8.71/6.62 (v198(constB30) <=> (~((~v199(constB30)) | (~v200(constB30))))),
% 8.71/6.62 inference(unit_resolution,[status(thm)],[27096, 96])).
% 8.71/6.62 tff(27098,plain,
% 8.71/6.62 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB30) <=> (~((~v197(constB30)) | (~v201(constB30)))))),
% 8.71/6.62 inference(quant_inst,[status(thm)],[])).
% 8.71/6.62 tff(27099,plain,
% 8.71/6.62 (v200(constB30) <=> (~((~v197(constB30)) | (~v201(constB30))))),
% 8.71/6.62 inference(unit_resolution,[status(thm)],[27098, 108])).
% 8.71/6.62 tff(27100,plain,
% 8.71/6.62 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB30) <=> (~((~v39(constB30)) | (~v9(constB30)))))),
% 8.71/6.62 inference(quant_inst,[status(thm)],[])).
% 8.71/6.62 tff(27101,plain,
% 8.71/6.62 (v197(constB30) <=> (~((~v39(constB30)) | (~v9(constB30))))),
% 8.71/6.62 inference(unit_resolution,[status(thm)],[27100, 120])).
% 8.71/6.62 tff(27102,plain,
% 8.71/6.62 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB30)) <=> v1(constB30))),
% 8.71/6.62 inference(quant_inst,[status(thm)],[])).
% 8.71/6.62 tff(27103,plain,
% 8.71/6.62 ((~v39(constB30)) <=> v1(constB30)),
% 8.71/6.62 inference(unit_resolution,[status(thm)],[27102, 129])).
% 8.71/6.62 tff(27104,plain,
% 8.71/6.62 ((~((~v39(constB30)) <=> v1(constB30))) | (~v39(constB30)) | (~v1(constB30))),
% 8.71/6.62 inference(tautology,[status(thm)],[])).
% 8.71/6.63 tff(27105,plain,
% 8.71/6.63 ((~((~v39(constB30)) <=> v1(constB30))) | (~v39(constB30))),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27104, 5705])).
% 8.71/6.63 tff(27106,plain,
% 8.71/6.63 (~v39(constB30)),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27105, 27103])).
% 8.71/6.63 tff(27107,plain,
% 8.71/6.63 (((~v39(constB30)) | (~v9(constB30))) | v39(constB30)),
% 8.71/6.63 inference(tautology,[status(thm)],[])).
% 8.71/6.63 tff(27108,plain,
% 8.71/6.63 ((~v39(constB30)) | (~v9(constB30))),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27107, 27106])).
% 8.71/6.63 tff(27109,plain,
% 8.71/6.63 ((~(v197(constB30) <=> (~((~v39(constB30)) | (~v9(constB30)))))) | (~v197(constB30)) | (~((~v39(constB30)) | (~v9(constB30))))),
% 8.71/6.63 inference(tautology,[status(thm)],[])).
% 8.71/6.63 tff(27110,plain,
% 8.71/6.63 ((~(v197(constB30) <=> (~((~v39(constB30)) | (~v9(constB30)))))) | (~v197(constB30))),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27109, 27108])).
% 8.71/6.63 tff(27111,plain,
% 8.71/6.63 (~v197(constB30)),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27110, 27101])).
% 8.71/6.63 tff(27112,plain,
% 8.71/6.63 (((~v197(constB30)) | (~v201(constB30))) | v197(constB30)),
% 8.71/6.63 inference(tautology,[status(thm)],[])).
% 8.71/6.63 tff(27113,plain,
% 8.71/6.63 ((~v197(constB30)) | (~v201(constB30))),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27112, 27111])).
% 8.71/6.63 tff(27114,plain,
% 8.71/6.63 ((~(v200(constB30) <=> (~((~v197(constB30)) | (~v201(constB30)))))) | (~v200(constB30)) | (~((~v197(constB30)) | (~v201(constB30))))),
% 8.71/6.63 inference(tautology,[status(thm)],[])).
% 8.71/6.63 tff(27115,plain,
% 8.71/6.63 ((~(v200(constB30) <=> (~((~v197(constB30)) | (~v201(constB30)))))) | (~v200(constB30))),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27114, 27113])).
% 8.71/6.63 tff(27116,plain,
% 8.71/6.63 (~v200(constB30)),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27115, 27099])).
% 8.71/6.63 tff(27117,plain,
% 8.71/6.63 (((~v199(constB30)) | (~v200(constB30))) | v200(constB30)),
% 8.71/6.63 inference(tautology,[status(thm)],[])).
% 8.71/6.63 tff(27118,plain,
% 8.71/6.63 ((~v199(constB30)) | (~v200(constB30))),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27117, 27116])).
% 8.71/6.63 tff(27119,plain,
% 8.71/6.63 ((~(v198(constB30) <=> (~((~v199(constB30)) | (~v200(constB30)))))) | (~v198(constB30)) | (~((~v199(constB30)) | (~v200(constB30))))),
% 8.71/6.63 inference(tautology,[status(thm)],[])).
% 8.71/6.63 tff(27120,plain,
% 8.71/6.63 (~v198(constB30)),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27119, 27118, 27097])).
% 8.71/6.63 tff(27121,plain,
% 8.71/6.63 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB30) <=> (~((~v157(constB30)) | (~v195(constB30)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB30) <=> (~((~v157(constB30)) | (~v195(constB30))))))),
% 8.71/6.63 inference(rewrite,[status(thm)],[])).
% 8.71/6.63 tff(27122,plain,
% 8.71/6.63 ((v194(constB30) <=> (~((~v195(constB30)) | (~v157(constB30))))) <=> (v194(constB30) <=> (~((~v157(constB30)) | (~v195(constB30)))))),
% 8.71/6.63 inference(rewrite,[status(thm)],[])).
% 8.71/6.63 tff(27123,plain,
% 8.71/6.63 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB30) <=> (~((~v195(constB30)) | (~v157(constB30)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB30) <=> (~((~v157(constB30)) | (~v195(constB30))))))),
% 8.71/6.63 inference(monotonicity,[status(thm)],[27122])).
% 8.71/6.63 tff(27124,plain,
% 8.71/6.63 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB30) <=> (~((~v195(constB30)) | (~v157(constB30)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB30) <=> (~((~v157(constB30)) | (~v195(constB30))))))),
% 8.71/6.63 inference(transitivity,[status(thm)],[27123, 27121])).
% 8.71/6.63 tff(27125,plain,
% 8.71/6.63 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB30) <=> (~((~v195(constB30)) | (~v157(constB30)))))),
% 8.71/6.63 inference(quant_inst,[status(thm)],[])).
% 8.71/6.63 tff(27126,plain,
% 8.71/6.63 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB30) <=> (~((~v157(constB30)) | (~v195(constB30)))))),
% 8.71/6.63 inference(modus_ponens,[status(thm)],[27125, 27124])).
% 8.71/6.63 tff(27127,plain,
% 8.71/6.63 (v194(constB30) <=> (~((~v157(constB30)) | (~v195(constB30))))),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27126, 161])).
% 8.71/6.63 tff(27128,plain,
% 8.71/6.63 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB30) <=> v193(constB30))),
% 8.71/6.63 inference(quant_inst,[status(thm)],[])).
% 8.71/6.63 tff(27129,plain,
% 8.71/6.63 (v157(constB30) <=> v193(constB30)),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27128, 13])).
% 8.71/6.63 tff(27130,plain,
% 8.71/6.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB29, constB30)) | (v193(constB30) <=> v191(constB29)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB29, constB30)) | (v193(constB30) <=> v191(constB29)))),
% 8.71/6.63 inference(rewrite,[status(thm)],[])).
% 8.71/6.63 tff(27131,plain,
% 8.71/6.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB29, constB30)) | (v193(constB30) <=> v191(constB29)))),
% 8.71/6.63 inference(quant_inst,[status(thm)],[])).
% 8.71/6.63 tff(27132,plain,
% 8.71/6.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB29, constB30)) | (v193(constB30) <=> v191(constB29))),
% 8.71/6.63 inference(modus_ponens,[status(thm)],[27131, 27130])).
% 8.71/6.63 tff(27133,plain,
% 8.71/6.63 (v193(constB30) <=> v191(constB29)),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27132, 2218, 70])).
% 8.71/6.63 tff(27134,plain,
% 8.71/6.63 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB29) <=> (v194(constB29) | v198(constB29)))),
% 8.71/6.63 inference(quant_inst,[status(thm)],[])).
% 8.71/6.63 tff(27135,plain,
% 8.71/6.63 (v191(constB29) <=> (v194(constB29) | v198(constB29))),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27134, 84])).
% 8.71/6.63 tff(27136,plain,
% 8.71/6.63 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB29) <=> (~((~v157(constB29)) | (~v195(constB29)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB29) <=> (~((~v157(constB29)) | (~v195(constB29))))))),
% 8.71/6.63 inference(rewrite,[status(thm)],[])).
% 8.71/6.63 tff(27137,plain,
% 8.71/6.63 ((v194(constB29) <=> (~((~v195(constB29)) | (~v157(constB29))))) <=> (v194(constB29) <=> (~((~v157(constB29)) | (~v195(constB29)))))),
% 8.71/6.63 inference(rewrite,[status(thm)],[])).
% 8.71/6.63 tff(27138,plain,
% 8.71/6.63 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB29) <=> (~((~v195(constB29)) | (~v157(constB29)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB29) <=> (~((~v157(constB29)) | (~v195(constB29))))))),
% 8.71/6.63 inference(monotonicity,[status(thm)],[27137])).
% 8.71/6.63 tff(27139,plain,
% 8.71/6.63 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB29) <=> (~((~v195(constB29)) | (~v157(constB29)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB29) <=> (~((~v157(constB29)) | (~v195(constB29))))))),
% 8.71/6.63 inference(transitivity,[status(thm)],[27138, 27136])).
% 8.71/6.63 tff(27140,plain,
% 8.71/6.63 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB29) <=> (~((~v195(constB29)) | (~v157(constB29)))))),
% 8.71/6.63 inference(quant_inst,[status(thm)],[])).
% 8.71/6.63 tff(27141,plain,
% 8.71/6.63 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB29) <=> (~((~v157(constB29)) | (~v195(constB29)))))),
% 8.71/6.63 inference(modus_ponens,[status(thm)],[27140, 27139])).
% 8.71/6.63 tff(27142,plain,
% 8.71/6.63 (v194(constB29) <=> (~((~v157(constB29)) | (~v195(constB29))))),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27141, 161])).
% 8.71/6.63 tff(27143,plain,
% 8.71/6.63 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB29)) <=> v196(constB29))),
% 8.71/6.63 inference(quant_inst,[status(thm)],[])).
% 8.71/6.63 tff(27144,plain,
% 8.71/6.63 ((~v195(constB29)) <=> v196(constB29)),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27143, 193])).
% 8.71/6.63 tff(27145,plain,
% 8.71/6.63 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB29) <=> (v197(constB29) | v26(constB29)))),
% 8.71/6.63 inference(quant_inst,[status(thm)],[])).
% 8.71/6.63 tff(27146,plain,
% 8.71/6.63 (v196(constB29) <=> (v197(constB29) | v26(constB29))),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27145, 202])).
% 8.71/6.63 tff(27147,plain,
% 8.71/6.63 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB29) <=> (~((~v39(constB29)) | (~v9(constB29)))))),
% 8.71/6.63 inference(quant_inst,[status(thm)],[])).
% 8.71/6.63 tff(27148,plain,
% 8.71/6.63 (v197(constB29) <=> (~((~v39(constB29)) | (~v9(constB29))))),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27147, 120])).
% 8.71/6.63 tff(27149,plain,
% 8.71/6.63 (((~![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)))),
% 8.71/6.63 inference(rewrite,[status(thm)],[])).
% 8.71/6.63 tff(27150,plain,
% 8.71/6.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB29, constB30)) | (v13(constB30) <=> v9(constB29)))),
% 8.71/6.63 inference(quant_inst,[status(thm)],[])).
% 8.71/6.63 tff(27151,plain,
% 8.71/6.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB29, constB30)) | (v13(constB30) <=> v9(constB29))),
% 8.71/6.63 inference(modus_ponens,[status(thm)],[27150, 27149])).
% 8.71/6.63 tff(27152,plain,
% 8.71/6.63 (v13(constB30) <=> v9(constB29)),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27151, 2218, 216])).
% 8.71/6.63 tff(27153,plain,
% 8.71/6.63 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB30) <=> v13(constB30))),
% 8.71/6.63 inference(quant_inst,[status(thm)],[])).
% 8.71/6.63 tff(27154,plain,
% 8.71/6.63 (v6(constB30) <=> v13(constB30)),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27153, 230])).
% 8.71/6.63 tff(27155,plain,
% 8.71/6.63 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB30)) <=> v6(constB30))),
% 8.71/6.63 inference(quant_inst,[status(thm)],[])).
% 8.71/6.63 tff(27156,plain,
% 8.71/6.63 ((~v21(constB30)) <=> v6(constB30)),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27155, 239])).
% 8.71/6.63 tff(27157,plain,
% 8.71/6.63 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB30) <=> (v20(constB30) | v21(constB30)))),
% 8.71/6.63 inference(quant_inst,[status(thm)],[])).
% 8.71/6.63 tff(27158,plain,
% 8.71/6.63 (v19(constB30) <=> (v20(constB30) | v21(constB30))),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27157, 248])).
% 8.71/6.63 tff(27159,plain,
% 8.71/6.63 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB30) <=> (~((~v19(constB30)) | (~v22(constB30)))))),
% 8.71/6.63 inference(quant_inst,[status(thm)],[])).
% 8.71/6.63 tff(27160,plain,
% 8.71/6.63 (v18(constB30) <=> (~((~v19(constB30)) | (~v22(constB30))))),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27159, 260])).
% 8.71/6.63 tff(27161,plain,
% 8.71/6.63 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB30)) <=> v18(constB30))),
% 8.71/6.63 inference(quant_inst,[status(thm)],[])).
% 8.71/6.63 tff(27162,plain,
% 8.71/6.63 ((~v4(constB30)) <=> v18(constB30)),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27161, 269])).
% 8.71/6.63 tff(27163,plain,
% 8.71/6.63 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB30)),
% 8.71/6.63 inference(quant_inst,[status(thm)],[])).
% 8.71/6.63 tff(27164,plain,
% 8.71/6.63 (v4(constB30)),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27163, 278])).
% 8.71/6.63 tff(27165,plain,
% 8.71/6.63 ((~((~v4(constB30)) <=> v18(constB30))) | (~v4(constB30)) | (~v18(constB30))),
% 8.71/6.63 inference(tautology,[status(thm)],[])).
% 8.71/6.63 tff(27166,plain,
% 8.71/6.63 (~v18(constB30)),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27165, 27164, 27162])).
% 8.71/6.63 tff(27167,plain,
% 8.71/6.63 ((~(v18(constB30) <=> (~((~v19(constB30)) | (~v22(constB30)))))) | v18(constB30) | ((~v19(constB30)) | (~v22(constB30)))),
% 8.71/6.63 inference(tautology,[status(thm)],[])).
% 8.71/6.63 tff(27168,plain,
% 8.71/6.63 ((~v19(constB30)) | (~v22(constB30))),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27167, 27166, 27160])).
% 8.71/6.63 tff(27169,plain,
% 8.71/6.63 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB30) <=> (v1(constB30) | v6(constB30)))),
% 8.71/6.63 inference(quant_inst,[status(thm)],[])).
% 8.71/6.63 tff(27170,plain,
% 8.71/6.63 (v22(constB30) <=> (v1(constB30) | v6(constB30))),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27169, 291])).
% 8.71/6.63 tff(27171,plain,
% 8.71/6.63 ((v1(constB30) | v6(constB30)) | (~v1(constB30))),
% 8.71/6.63 inference(tautology,[status(thm)],[])).
% 8.71/6.63 tff(27172,plain,
% 8.71/6.63 (v1(constB30) | v6(constB30)),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27171, 5705])).
% 8.71/6.63 tff(27173,plain,
% 8.71/6.63 ((~(v22(constB30) <=> (v1(constB30) | v6(constB30)))) | v22(constB30) | (~(v1(constB30) | v6(constB30)))),
% 8.71/6.63 inference(tautology,[status(thm)],[])).
% 8.71/6.63 tff(27174,plain,
% 8.71/6.63 ((~(v22(constB30) <=> (v1(constB30) | v6(constB30)))) | v22(constB30)),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27173, 27172])).
% 8.71/6.63 tff(27175,plain,
% 8.71/6.63 (v22(constB30)),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27174, 27170])).
% 8.71/6.63 tff(27176,plain,
% 8.71/6.63 ((~((~v19(constB30)) | (~v22(constB30)))) | (~v19(constB30)) | (~v22(constB30))),
% 8.71/6.63 inference(tautology,[status(thm)],[])).
% 8.71/6.63 tff(27177,plain,
% 8.71/6.63 ((~((~v19(constB30)) | (~v22(constB30)))) | (~v19(constB30))),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27176, 27175])).
% 8.71/6.63 tff(27178,plain,
% 8.71/6.63 (~v19(constB30)),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27177, 27168])).
% 8.71/6.63 tff(27179,plain,
% 8.71/6.63 ((~(v19(constB30) <=> (v20(constB30) | v21(constB30)))) | v19(constB30) | (~(v20(constB30) | v21(constB30)))),
% 8.71/6.63 inference(tautology,[status(thm)],[])).
% 8.71/6.63 tff(27180,plain,
% 8.71/6.63 (~(v20(constB30) | v21(constB30))),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27179, 27178, 27158])).
% 8.71/6.63 tff(27181,plain,
% 8.71/6.63 ((v20(constB30) | v21(constB30)) | (~v21(constB30))),
% 8.71/6.63 inference(tautology,[status(thm)],[])).
% 8.71/6.63 tff(27182,plain,
% 8.71/6.63 (~v21(constB30)),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27181, 27180])).
% 8.71/6.63 tff(27183,plain,
% 8.71/6.63 ((~((~v21(constB30)) <=> v6(constB30))) | v21(constB30) | v6(constB30)),
% 8.71/6.63 inference(tautology,[status(thm)],[])).
% 8.71/6.63 tff(27184,plain,
% 8.71/6.63 (v6(constB30)),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27183, 27182, 27156])).
% 8.71/6.63 tff(27185,plain,
% 8.71/6.63 ((~(v6(constB30) <=> v13(constB30))) | (~v6(constB30)) | v13(constB30)),
% 8.71/6.63 inference(tautology,[status(thm)],[])).
% 8.71/6.63 tff(27186,plain,
% 8.71/6.63 (v13(constB30)),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27185, 27184, 27154])).
% 8.71/6.63 tff(27187,plain,
% 8.71/6.63 ((~(v13(constB30) <=> v9(constB29))) | (~v13(constB30)) | v9(constB29)),
% 8.71/6.63 inference(tautology,[status(thm)],[])).
% 8.71/6.63 tff(27188,plain,
% 8.71/6.63 (v9(constB29)),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27187, 27186, 27152])).
% 8.71/6.63 tff(27189,plain,
% 8.71/6.63 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB29)) <=> v1(constB29))),
% 8.71/6.63 inference(quant_inst,[status(thm)],[])).
% 8.71/6.63 tff(27190,plain,
% 8.71/6.63 ((~v39(constB29)) <=> v1(constB29)),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27189, 129])).
% 8.71/6.63 tff(27191,plain,
% 8.71/6.63 ((~((~v39(constB29)) <=> v1(constB29))) | v39(constB29) | v1(constB29)),
% 8.71/6.63 inference(tautology,[status(thm)],[])).
% 8.71/6.63 tff(27192,plain,
% 8.71/6.63 ((~((~v39(constB29)) <=> v1(constB29))) | v39(constB29)),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27191, 2262])).
% 8.71/6.63 tff(27193,plain,
% 8.71/6.63 (v39(constB29)),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27192, 27190])).
% 8.71/6.63 tff(27194,plain,
% 8.71/6.63 ((~((~v39(constB29)) | (~v9(constB29)))) | (~v39(constB29)) | (~v9(constB29))),
% 8.71/6.63 inference(tautology,[status(thm)],[])).
% 8.71/6.63 tff(27195,plain,
% 8.71/6.63 ((~((~v39(constB29)) | (~v9(constB29)))) | (~v9(constB29))),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27194, 27193])).
% 8.71/6.63 tff(27196,plain,
% 8.71/6.63 (~((~v39(constB29)) | (~v9(constB29)))),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27195, 27188])).
% 8.71/6.63 tff(27197,plain,
% 8.71/6.63 ((~(v197(constB29) <=> (~((~v39(constB29)) | (~v9(constB29)))))) | v197(constB29) | ((~v39(constB29)) | (~v9(constB29)))),
% 8.71/6.63 inference(tautology,[status(thm)],[])).
% 8.71/6.63 tff(27198,plain,
% 8.71/6.63 (v197(constB29)),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27197, 27196, 27148])).
% 8.71/6.63 tff(27199,plain,
% 8.71/6.63 ((v197(constB29) | v26(constB29)) | (~v197(constB29))),
% 8.71/6.63 inference(tautology,[status(thm)],[])).
% 8.71/6.63 tff(27200,plain,
% 8.71/6.63 (v197(constB29) | v26(constB29)),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27199, 27198])).
% 8.71/6.63 tff(27201,plain,
% 8.71/6.63 ((~(v196(constB29) <=> (v197(constB29) | v26(constB29)))) | v196(constB29) | (~(v197(constB29) | v26(constB29)))),
% 8.71/6.63 inference(tautology,[status(thm)],[])).
% 8.71/6.63 tff(27202,plain,
% 8.71/6.63 (v196(constB29)),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27201, 27200, 27146])).
% 8.71/6.63 tff(27203,plain,
% 8.71/6.63 ((~((~v195(constB29)) <=> v196(constB29))) | (~v195(constB29)) | (~v196(constB29))),
% 8.71/6.63 inference(tautology,[status(thm)],[])).
% 8.71/6.63 tff(27204,plain,
% 8.71/6.63 (~v195(constB29)),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27203, 27202, 27144])).
% 8.71/6.63 tff(27205,plain,
% 8.71/6.63 (((~v157(constB29)) | (~v195(constB29))) | v195(constB29)),
% 8.71/6.63 inference(tautology,[status(thm)],[])).
% 8.71/6.63 tff(27206,plain,
% 8.71/6.63 ((~v157(constB29)) | (~v195(constB29))),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27205, 27204])).
% 8.71/6.63 tff(27207,plain,
% 8.71/6.63 ((~(v194(constB29) <=> (~((~v157(constB29)) | (~v195(constB29)))))) | (~v194(constB29)) | (~((~v157(constB29)) | (~v195(constB29))))),
% 8.71/6.63 inference(tautology,[status(thm)],[])).
% 8.71/6.63 tff(27208,plain,
% 8.71/6.63 (~v194(constB29)),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27207, 27206, 27142])).
% 8.71/6.63 tff(27209,plain,
% 8.71/6.63 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB29) <=> (~((~v199(constB29)) | (~v200(constB29)))))),
% 8.71/6.63 inference(quant_inst,[status(thm)],[])).
% 8.71/6.63 tff(27210,plain,
% 8.71/6.63 (v198(constB29) <=> (~((~v199(constB29)) | (~v200(constB29))))),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27209, 96])).
% 8.71/6.63 tff(27211,plain,
% 8.71/6.63 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB29) <=> (~((~v197(constB29)) | (~v201(constB29)))))),
% 8.71/6.63 inference(quant_inst,[status(thm)],[])).
% 8.71/6.63 tff(27212,plain,
% 8.71/6.63 (v200(constB29) <=> (~((~v197(constB29)) | (~v201(constB29))))),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27211, 108])).
% 8.71/6.63 tff(27213,plain,
% 8.71/6.63 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB29) <=> (~((~v159(constB29)) | (~v161(constB29)))))),
% 8.71/6.63 inference(quant_inst,[status(thm)],[])).
% 8.71/6.63 tff(27214,plain,
% 8.71/6.63 (v201(constB29) <=> (~((~v159(constB29)) | (~v161(constB29))))),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27213, 348])).
% 8.71/6.63 tff(27215,plain,
% 8.71/6.63 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB29) <=> v163(constB29))),
% 8.71/6.63 inference(quant_inst,[status(thm)],[])).
% 8.71/6.63 tff(27216,plain,
% 8.71/6.63 (v161(constB29) <=> v163(constB29)),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27215, 357])).
% 8.71/6.63 tff(27217,plain,
% 8.71/6.63 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB29) <=> (v145(constB29) | v167(constB29)))),
% 8.71/6.63 inference(quant_inst,[status(thm)],[])).
% 8.71/6.63 tff(27218,plain,
% 8.71/6.63 (v166(constB29) <=> (v145(constB29) | v167(constB29))),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27217, 369])).
% 8.71/6.63 tff(27219,plain,
% 8.71/6.63 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB29) <=> (v142(constB29) | v168(constB29)))),
% 8.71/6.63 inference(quant_inst,[status(thm)],[])).
% 8.71/6.63 tff(27220,plain,
% 8.71/6.63 (v167(constB29) <=> (v142(constB29) | v168(constB29))),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27219, 381])).
% 8.71/6.63 tff(27221,plain,
% 8.71/6.63 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB29) <=> (v143(constB29) | v144(constB29)))),
% 8.71/6.63 inference(quant_inst,[status(thm)],[])).
% 8.71/6.63 tff(27222,plain,
% 8.71/6.63 (v142(constB29) <=> (v143(constB29) | v144(constB29))),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27221, 10332])).
% 8.71/6.63 tff(27223,plain,
% 8.71/6.63 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB29) <=> (~((~v88(constB29, bitIndex1)) | v88(constB29, bitIndex2) | v88(constB29, bitIndex0))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB29) <=> (~((~v88(constB29, bitIndex1)) | v88(constB29, bitIndex2) | v88(constB29, bitIndex0)))))),
% 8.71/6.63 inference(rewrite,[status(thm)],[])).
% 8.71/6.63 tff(27224,plain,
% 8.71/6.63 ((v143(constB29) <=> (~(v88(constB29, bitIndex0) | v88(constB29, bitIndex2) | (~v88(constB29, bitIndex1))))) <=> (v143(constB29) <=> (~((~v88(constB29, bitIndex1)) | v88(constB29, bitIndex2) | v88(constB29, bitIndex0))))),
% 8.71/6.63 inference(rewrite,[status(thm)],[])).
% 8.71/6.63 tff(27225,plain,
% 8.71/6.63 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB29) <=> (~(v88(constB29, bitIndex0) | v88(constB29, bitIndex2) | (~v88(constB29, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB29) <=> (~((~v88(constB29, bitIndex1)) | v88(constB29, bitIndex2) | v88(constB29, bitIndex0)))))),
% 8.71/6.63 inference(monotonicity,[status(thm)],[27224])).
% 8.71/6.63 tff(27226,plain,
% 8.71/6.63 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB29) <=> (~(v88(constB29, bitIndex0) | v88(constB29, bitIndex2) | (~v88(constB29, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB29) <=> (~((~v88(constB29, bitIndex1)) | v88(constB29, bitIndex2) | v88(constB29, bitIndex0)))))),
% 8.71/6.63 inference(transitivity,[status(thm)],[27225, 27223])).
% 8.71/6.63 tff(27227,plain,
% 8.71/6.63 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB29) <=> (~(v88(constB29, bitIndex0) | v88(constB29, bitIndex2) | (~v88(constB29, bitIndex1)))))),
% 8.71/6.63 inference(quant_inst,[status(thm)],[])).
% 8.71/6.63 tff(27228,plain,
% 8.71/6.63 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB29) <=> (~((~v88(constB29, bitIndex1)) | v88(constB29, bitIndex2) | v88(constB29, bitIndex0))))),
% 8.71/6.63 inference(modus_ponens,[status(thm)],[27227, 27226])).
% 8.71/6.63 tff(27229,plain,
% 8.71/6.63 (v143(constB29) <=> (~((~v88(constB29, bitIndex1)) | v88(constB29, bitIndex2) | v88(constB29, bitIndex0)))),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27228, 14770])).
% 8.71/6.63 tff(27230,plain,
% 8.71/6.63 ((~![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))) | (~(((~v88(constB29, bitIndex1)) <=> v90(constB29, bitIndex1)) | ((~v88(constB29, bitIndex2)) <=> v90(constB29, bitIndex2)) | ((~v88(constB29, bitIndex0)) <=> v90(constB29, bitIndex0))))),
% 8.71/6.63 inference(quant_inst,[status(thm)],[])).
% 8.71/6.63 tff(27231,plain,
% 8.71/6.63 (~(((~v88(constB29, bitIndex1)) <=> v90(constB29, bitIndex1)) | ((~v88(constB29, bitIndex2)) <=> v90(constB29, bitIndex2)) | ((~v88(constB29, bitIndex0)) <=> v90(constB29, bitIndex0)))),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27230, 428])).
% 8.71/6.63 tff(27232,plain,
% 8.71/6.63 ((((~v88(constB29, bitIndex1)) <=> v90(constB29, bitIndex1)) | ((~v88(constB29, bitIndex2)) <=> v90(constB29, bitIndex2)) | ((~v88(constB29, bitIndex0)) <=> v90(constB29, bitIndex0))) | (~((~v88(constB29, bitIndex2)) <=> v90(constB29, bitIndex2)))),
% 8.71/6.63 inference(tautology,[status(thm)],[])).
% 8.71/6.63 tff(27233,plain,
% 8.71/6.63 (~((~v88(constB29, bitIndex2)) <=> v90(constB29, bitIndex2))),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27232, 27231])).
% 8.71/6.63 tff(27234,plain,
% 8.71/6.63 (((~v88(constB29, bitIndex2)) <=> v90(constB29, bitIndex2)) | (~v88(constB29, bitIndex2)) | v90(constB29, bitIndex2)),
% 8.71/6.63 inference(tautology,[status(thm)],[])).
% 8.71/6.63 tff(27235,plain,
% 8.71/6.63 (~v88(constB29, bitIndex2)),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27234, 5627, 27233])).
% 8.71/6.63 tff(27236,plain,
% 8.71/6.63 ((((~v88(constB29, bitIndex1)) <=> v90(constB29, bitIndex1)) | ((~v88(constB29, bitIndex2)) <=> v90(constB29, bitIndex2)) | ((~v88(constB29, bitIndex0)) <=> v90(constB29, bitIndex0))) | (~((~v88(constB29, bitIndex0)) <=> v90(constB29, bitIndex0)))),
% 8.71/6.63 inference(tautology,[status(thm)],[])).
% 8.71/6.63 tff(27237,plain,
% 8.71/6.63 (~((~v88(constB29, bitIndex0)) <=> v90(constB29, bitIndex0))),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27236, 27231])).
% 8.71/6.63 tff(27238,plain,
% 8.71/6.63 (((~v88(constB29, bitIndex0)) <=> v90(constB29, bitIndex0)) | (~v88(constB29, bitIndex0)) | v90(constB29, bitIndex0)),
% 8.71/6.63 inference(tautology,[status(thm)],[])).
% 8.71/6.63 tff(27239,plain,
% 8.71/6.63 (~v88(constB29, bitIndex0)),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27238, 5645, 27237])).
% 8.71/6.63 tff(27240,plain,
% 8.71/6.63 ((((~v88(constB29, bitIndex1)) <=> v90(constB29, bitIndex1)) | ((~v88(constB29, bitIndex2)) <=> v90(constB29, bitIndex2)) | ((~v88(constB29, bitIndex0)) <=> v90(constB29, bitIndex0))) | (~((~v88(constB29, bitIndex1)) <=> v90(constB29, bitIndex1)))),
% 8.71/6.63 inference(tautology,[status(thm)],[])).
% 8.71/6.63 tff(27241,plain,
% 8.71/6.63 (~((~v88(constB29, bitIndex1)) <=> v90(constB29, bitIndex1))),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27240, 27231])).
% 8.71/6.63 tff(27242,plain,
% 8.71/6.63 (((~v88(constB29, bitIndex1)) <=> v90(constB29, bitIndex1)) | v88(constB29, bitIndex1) | (~v90(constB29, bitIndex1))),
% 8.71/6.63 inference(tautology,[status(thm)],[])).
% 8.71/6.63 tff(27243,plain,
% 8.71/6.63 (v88(constB29, bitIndex1)),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27242, 5663, 27241])).
% 8.71/6.63 tff(27244,plain,
% 8.71/6.63 ((~((~v88(constB29, bitIndex1)) | v88(constB29, bitIndex2) | v88(constB29, bitIndex0))) | (~v88(constB29, bitIndex1)) | v88(constB29, bitIndex2) | v88(constB29, bitIndex0)),
% 8.71/6.63 inference(tautology,[status(thm)],[])).
% 8.71/6.63 tff(27245,plain,
% 8.71/6.63 (~((~v88(constB29, bitIndex1)) | v88(constB29, bitIndex2) | v88(constB29, bitIndex0))),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27244, 27243, 27239, 27235])).
% 8.71/6.63 tff(27246,plain,
% 8.71/6.63 ((~(v143(constB29) <=> (~((~v88(constB29, bitIndex1)) | v88(constB29, bitIndex2) | v88(constB29, bitIndex0))))) | v143(constB29) | ((~v88(constB29, bitIndex1)) | v88(constB29, bitIndex2) | v88(constB29, bitIndex0))),
% 8.71/6.63 inference(tautology,[status(thm)],[])).
% 8.71/6.63 tff(27247,plain,
% 8.71/6.63 (v143(constB29)),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27246, 27245, 27229])).
% 8.71/6.63 tff(27248,plain,
% 8.71/6.63 ((v143(constB29) | v144(constB29)) | (~v143(constB29))),
% 8.71/6.63 inference(tautology,[status(thm)],[])).
% 8.71/6.63 tff(27249,plain,
% 8.71/6.63 (v143(constB29) | v144(constB29)),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27248, 27247])).
% 8.71/6.63 tff(27250,plain,
% 8.71/6.63 ((~(v142(constB29) <=> (v143(constB29) | v144(constB29)))) | v142(constB29) | (~(v143(constB29) | v144(constB29)))),
% 8.71/6.63 inference(tautology,[status(thm)],[])).
% 8.71/6.63 tff(27251,plain,
% 8.71/6.63 (v142(constB29)),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27250, 27249, 27222])).
% 8.71/6.63 tff(27252,plain,
% 8.71/6.63 ((v142(constB29) | v168(constB29)) | (~v142(constB29))),
% 8.71/6.63 inference(tautology,[status(thm)],[])).
% 8.71/6.63 tff(27253,plain,
% 8.71/6.63 (v142(constB29) | v168(constB29)),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27252, 27251])).
% 8.71/6.63 tff(27254,plain,
% 8.71/6.63 ((~(v167(constB29) <=> (v142(constB29) | v168(constB29)))) | v167(constB29) | (~(v142(constB29) | v168(constB29)))),
% 8.71/6.63 inference(tautology,[status(thm)],[])).
% 8.71/6.63 tff(27255,plain,
% 8.71/6.63 ((~(v167(constB29) <=> (v142(constB29) | v168(constB29)))) | v167(constB29)),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27254, 27253])).
% 8.71/6.63 tff(27256,plain,
% 8.71/6.63 (v167(constB29)),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27255, 27220])).
% 8.71/6.63 tff(27257,plain,
% 8.71/6.63 ((v145(constB29) | v167(constB29)) | (~v167(constB29))),
% 8.71/6.63 inference(tautology,[status(thm)],[])).
% 8.71/6.63 tff(27258,plain,
% 8.71/6.63 (v145(constB29) | v167(constB29)),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27257, 27256])).
% 8.71/6.63 tff(27259,plain,
% 8.71/6.63 ((~(v166(constB29) <=> (v145(constB29) | v167(constB29)))) | v166(constB29) | (~(v145(constB29) | v167(constB29)))),
% 8.71/6.63 inference(tautology,[status(thm)],[])).
% 8.71/6.63 tff(27260,plain,
% 8.71/6.63 (v166(constB29)),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27259, 27258, 27218])).
% 8.71/6.63 tff(27261,plain,
% 8.71/6.63 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB29)) | (v163(constB29) <=> v170(constB29)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB29)) | (v163(constB29) <=> v170(constB29)))),
% 8.71/6.63 inference(rewrite,[status(thm)],[])).
% 8.71/6.63 tff(27262,plain,
% 8.71/6.63 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB29)) | (v163(constB29) <=> v170(constB29)))),
% 8.71/6.63 inference(quant_inst,[status(thm)],[])).
% 8.71/6.63 tff(27263,plain,
% 8.71/6.63 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB29)) | (v163(constB29) <=> v170(constB29))),
% 8.71/6.63 inference(modus_ponens,[status(thm)],[27262, 27261])).
% 8.71/6.63 tff(27264,plain,
% 8.71/6.63 ((~v166(constB29)) | (v163(constB29) <=> v170(constB29))),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27263, 9851])).
% 8.71/6.63 tff(27265,plain,
% 8.71/6.63 (v163(constB29) <=> v170(constB29)),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27264, 27260])).
% 8.71/6.63 tff(27266,plain,
% 8.71/6.63 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB29) <=> (v142(constB29) | v150(constB29)))),
% 8.71/6.63 inference(quant_inst,[status(thm)],[])).
% 8.71/6.63 tff(27267,plain,
% 8.71/6.63 (v171(constB29) <=> (v142(constB29) | v150(constB29))),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27266, 9866])).
% 8.71/6.63 tff(27268,plain,
% 8.71/6.63 ((v142(constB29) | v150(constB29)) | (~v142(constB29))),
% 8.71/6.63 inference(tautology,[status(thm)],[])).
% 8.71/6.63 tff(27269,plain,
% 8.71/6.63 (v142(constB29) | v150(constB29)),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27268, 27251])).
% 8.71/6.63 tff(27270,plain,
% 8.71/6.63 ((~(v171(constB29) <=> (v142(constB29) | v150(constB29)))) | v171(constB29) | (~(v142(constB29) | v150(constB29)))),
% 8.71/6.63 inference(tautology,[status(thm)],[])).
% 8.71/6.63 tff(27271,plain,
% 8.71/6.63 ((~(v171(constB29) <=> (v142(constB29) | v150(constB29)))) | v171(constB29)),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27270, 27269])).
% 8.71/6.63 tff(27272,plain,
% 8.71/6.63 (v171(constB29)),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27271, 27267])).
% 8.71/6.63 tff(27273,plain,
% 8.71/6.63 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB29)) | (~v171(constB29)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB29)) | (~v171(constB29)))),
% 8.71/6.63 inference(rewrite,[status(thm)],[])).
% 8.71/6.63 tff(27274,plain,
% 8.71/6.63 (((~v171(constB29)) | (~v170(constB29))) <=> ((~v170(constB29)) | (~v171(constB29)))),
% 8.71/6.63 inference(rewrite,[status(thm)],[])).
% 8.71/6.63 tff(27275,plain,
% 8.71/6.63 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB29)) | (~v170(constB29)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB29)) | (~v171(constB29))))),
% 8.71/6.63 inference(monotonicity,[status(thm)],[27274])).
% 8.71/6.63 tff(27276,plain,
% 8.71/6.63 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB29)) | (~v170(constB29)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB29)) | (~v171(constB29)))),
% 8.71/6.63 inference(transitivity,[status(thm)],[27275, 27273])).
% 8.71/6.63 tff(27277,plain,
% 8.71/6.63 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB29)) | (~v170(constB29)))),
% 8.71/6.63 inference(quant_inst,[status(thm)],[])).
% 8.71/6.63 tff(27278,plain,
% 8.71/6.63 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB29)) | (~v171(constB29))),
% 8.71/6.63 inference(modus_ponens,[status(thm)],[27277, 27276])).
% 8.71/6.63 tff(27279,plain,
% 8.71/6.63 (~v170(constB29)),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27278, 9899, 27272])).
% 8.71/6.63 tff(27280,plain,
% 8.71/6.63 ((~(v163(constB29) <=> v170(constB29))) | (~v163(constB29)) | v170(constB29)),
% 8.71/6.63 inference(tautology,[status(thm)],[])).
% 8.71/6.63 tff(27281,plain,
% 8.71/6.63 (~v163(constB29)),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27280, 27279, 27265])).
% 8.71/6.63 tff(27282,plain,
% 8.71/6.63 ((~(v161(constB29) <=> v163(constB29))) | (~v161(constB29)) | v163(constB29)),
% 8.71/6.63 inference(tautology,[status(thm)],[])).
% 8.71/6.63 tff(27283,plain,
% 8.71/6.63 (~v161(constB29)),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27282, 27281, 27216])).
% 8.71/6.63 tff(27284,plain,
% 8.71/6.63 (((~v159(constB29)) | (~v161(constB29))) | v161(constB29)),
% 8.71/6.63 inference(tautology,[status(thm)],[])).
% 8.71/6.63 tff(27285,plain,
% 8.71/6.63 ((~v159(constB29)) | (~v161(constB29))),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27284, 27283])).
% 8.71/6.63 tff(27286,plain,
% 8.71/6.63 ((~(v201(constB29) <=> (~((~v159(constB29)) | (~v161(constB29)))))) | (~v201(constB29)) | (~((~v159(constB29)) | (~v161(constB29))))),
% 8.71/6.63 inference(tautology,[status(thm)],[])).
% 8.71/6.63 tff(27287,plain,
% 8.71/6.63 (~v201(constB29)),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27286, 27285, 27214])).
% 8.71/6.63 tff(27288,plain,
% 8.71/6.63 (((~v197(constB29)) | (~v201(constB29))) | v201(constB29)),
% 8.71/6.63 inference(tautology,[status(thm)],[])).
% 8.71/6.63 tff(27289,plain,
% 8.71/6.63 ((~v197(constB29)) | (~v201(constB29))),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27288, 27287])).
% 8.71/6.63 tff(27290,plain,
% 8.71/6.63 ((~(v200(constB29) <=> (~((~v197(constB29)) | (~v201(constB29)))))) | (~v200(constB29)) | (~((~v197(constB29)) | (~v201(constB29))))),
% 8.71/6.63 inference(tautology,[status(thm)],[])).
% 8.71/6.63 tff(27291,plain,
% 8.71/6.63 (~v200(constB29)),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27290, 27289, 27212])).
% 8.71/6.63 tff(27292,plain,
% 8.71/6.63 (((~v199(constB29)) | (~v200(constB29))) | v200(constB29)),
% 8.71/6.63 inference(tautology,[status(thm)],[])).
% 8.71/6.63 tff(27293,plain,
% 8.71/6.63 ((~v199(constB29)) | (~v200(constB29))),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27292, 27291])).
% 8.71/6.63 tff(27294,plain,
% 8.71/6.63 ((~(v198(constB29) <=> (~((~v199(constB29)) | (~v200(constB29)))))) | (~v198(constB29)) | (~((~v199(constB29)) | (~v200(constB29))))),
% 8.71/6.63 inference(tautology,[status(thm)],[])).
% 8.71/6.63 tff(27295,plain,
% 8.71/6.63 (~v198(constB29)),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27294, 27293, 27210])).
% 8.71/6.63 tff(27296,plain,
% 8.71/6.63 ((~(v194(constB29) | v198(constB29))) | v194(constB29) | v198(constB29)),
% 8.71/6.63 inference(tautology,[status(thm)],[])).
% 8.71/6.63 tff(27297,plain,
% 8.71/6.63 (~(v194(constB29) | v198(constB29))),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27296, 27295, 27208])).
% 8.71/6.63 tff(27298,plain,
% 8.71/6.63 ((~(v191(constB29) <=> (v194(constB29) | v198(constB29)))) | (~v191(constB29)) | (v194(constB29) | v198(constB29))),
% 8.71/6.63 inference(tautology,[status(thm)],[])).
% 8.71/6.63 tff(27299,plain,
% 8.71/6.63 (~v191(constB29)),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27298, 27297, 27135])).
% 8.71/6.63 tff(27300,plain,
% 8.71/6.63 ((~(v193(constB30) <=> v191(constB29))) | (~v193(constB30)) | v191(constB29)),
% 8.71/6.63 inference(tautology,[status(thm)],[])).
% 8.71/6.63 tff(27301,plain,
% 8.71/6.63 (~v193(constB30)),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27300, 27299, 27133])).
% 8.71/6.63 tff(27302,plain,
% 8.71/6.63 ((~(v157(constB30) <=> v193(constB30))) | (~v157(constB30)) | v193(constB30)),
% 8.71/6.63 inference(tautology,[status(thm)],[])).
% 8.71/6.63 tff(27303,plain,
% 8.71/6.63 (~v157(constB30)),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27302, 27301, 27129])).
% 8.71/6.63 tff(27304,plain,
% 8.71/6.63 (((~v157(constB30)) | (~v195(constB30))) | v157(constB30)),
% 8.71/6.63 inference(tautology,[status(thm)],[])).
% 8.71/6.63 tff(27305,plain,
% 8.71/6.63 ((~v157(constB30)) | (~v195(constB30))),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27304, 27303])).
% 8.71/6.63 tff(27306,plain,
% 8.71/6.63 ((~(v194(constB30) <=> (~((~v157(constB30)) | (~v195(constB30)))))) | (~v194(constB30)) | (~((~v157(constB30)) | (~v195(constB30))))),
% 8.71/6.63 inference(tautology,[status(thm)],[])).
% 8.71/6.63 tff(27307,plain,
% 8.71/6.63 (~v194(constB30)),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27306, 27305, 27127])).
% 8.71/6.63 tff(27308,plain,
% 8.71/6.63 ((~(v194(constB30) | v198(constB30))) | v194(constB30) | v198(constB30)),
% 8.71/6.63 inference(tautology,[status(thm)],[])).
% 8.71/6.63 tff(27309,plain,
% 8.71/6.63 (~(v194(constB30) | v198(constB30))),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27308, 27307, 27120])).
% 8.71/6.63 tff(27310,plain,
% 8.71/6.63 ((~(v191(constB30) <=> (v194(constB30) | v198(constB30)))) | (~v191(constB30)) | (v194(constB30) | v198(constB30))),
% 8.71/6.63 inference(tautology,[status(thm)],[])).
% 8.71/6.63 tff(27311,plain,
% 8.71/6.63 (~v191(constB30)),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27310, 27309, 27095])).
% 8.71/6.63 tff(27312,plain,
% 8.71/6.63 ((~(v193(constB31) <=> v191(constB30))) | (~v193(constB31)) | v191(constB30)),
% 8.71/6.63 inference(tautology,[status(thm)],[])).
% 8.71/6.63 tff(27313,plain,
% 8.71/6.63 (~v193(constB31)),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27312, 27311, 27093])).
% 8.71/6.63 tff(27314,plain,
% 8.71/6.63 ($false),
% 8.71/6.63 inference(unit_resolution,[status(thm)],[27313, 27089])).
% 8.71/6.63 tff(27315,plain,(~(constB31 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.71/6.63 tff(27316,assumption,(constB15 = VarCurr!0), introduced(assumption)).
% 8.71/6.63 tff(27317,plain,
% 8.71/6.63 (v86(constB15) <=> v86(VarCurr!0)),
% 8.71/6.63 inference(monotonicity,[status(thm)],[27316])).
% 8.71/6.63 tff(27318,plain,
% 8.71/6.63 (v86(VarCurr!0) <=> v86(constB15)),
% 8.71/6.63 inference(symmetry,[status(thm)],[27317])).
% 8.71/6.63 tff(27319,plain,
% 8.71/6.63 ((~v86(VarCurr!0)) <=> (~v86(constB15))),
% 8.71/6.63 inference(monotonicity,[status(thm)],[27318])).
% 8.71/6.63 tff(27320,plain,
% 8.71/6.63 (~v86(constB15)),
% 8.71/6.63 inference(modus_ponens,[status(thm)],[14736, 27319])).
% 8.71/6.63 tff(27321,plain,
% 8.71/6.64 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB15) <=> (v136(constB15) | v145(constB15)))),
% 8.71/6.64 inference(quant_inst,[status(thm)],[])).
% 8.71/6.64 tff(27322,plain,
% 8.71/6.64 (v135(constB15) <=> (v136(constB15) | v145(constB15))),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27321, 14744])).
% 8.71/6.64 tff(27323,plain,
% 8.71/6.64 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB15) <=> (v137(constB15) | v142(constB15)))),
% 8.71/6.64 inference(quant_inst,[status(thm)],[])).
% 8.71/6.64 tff(27324,plain,
% 8.71/6.64 (v136(constB15) <=> (v137(constB15) | v142(constB15))),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27323, 14753])).
% 8.71/6.64 tff(27325,plain,
% 8.71/6.64 ((v137(constB15) | v142(constB15)) | (~v142(constB15))),
% 8.71/6.64 inference(tautology,[status(thm)],[])).
% 8.71/6.64 tff(27326,plain,
% 8.71/6.64 (v137(constB15) | v142(constB15)),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27325, 14378])).
% 8.71/6.64 tff(27327,plain,
% 8.71/6.64 ((~(v136(constB15) <=> (v137(constB15) | v142(constB15)))) | v136(constB15) | (~(v137(constB15) | v142(constB15)))),
% 8.71/6.64 inference(tautology,[status(thm)],[])).
% 8.71/6.64 tff(27328,plain,
% 8.71/6.64 ((~(v136(constB15) <=> (v137(constB15) | v142(constB15)))) | v136(constB15)),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27327, 27326])).
% 8.71/6.64 tff(27329,plain,
% 8.71/6.64 (v136(constB15)),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27328, 27324])).
% 8.71/6.64 tff(27330,plain,
% 8.71/6.64 ((v136(constB15) | v145(constB15)) | (~v136(constB15))),
% 8.71/6.64 inference(tautology,[status(thm)],[])).
% 8.71/6.64 tff(27331,plain,
% 8.71/6.64 (v136(constB15) | v145(constB15)),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27330, 27329])).
% 8.71/6.64 tff(27332,plain,
% 8.71/6.64 ((~(v135(constB15) <=> (v136(constB15) | v145(constB15)))) | v135(constB15) | (~(v136(constB15) | v145(constB15)))),
% 8.71/6.64 inference(tautology,[status(thm)],[])).
% 8.71/6.64 tff(27333,plain,
% 8.71/6.64 (v135(constB15)),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27332, 27331, 27322])).
% 8.71/6.64 tff(27334,plain,
% 8.71/6.64 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB15)) | (v86(constB15) <=> v148(constB15)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB15)) | (v86(constB15) <=> v148(constB15)))),
% 8.71/6.64 inference(rewrite,[status(thm)],[])).
% 8.71/6.64 tff(27335,plain,
% 8.71/6.64 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB15)) | (v86(constB15) <=> v148(constB15)))),
% 8.71/6.64 inference(quant_inst,[status(thm)],[])).
% 8.71/6.64 tff(27336,plain,
% 8.71/6.64 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB15)) | (v86(constB15) <=> v148(constB15))),
% 8.71/6.64 inference(modus_ponens,[status(thm)],[27335, 27334])).
% 8.71/6.64 tff(27337,plain,
% 8.71/6.64 (v86(constB15) <=> v148(constB15)),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27336, 14818, 27333])).
% 8.71/6.64 tff(27338,plain,
% 8.71/6.64 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB15) | (~v142(constB15)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB15) | (~v142(constB15)))),
% 8.71/6.64 inference(rewrite,[status(thm)],[])).
% 8.71/6.64 tff(27339,plain,
% 8.71/6.64 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB15) | (~v142(constB15)))),
% 8.71/6.64 inference(quant_inst,[status(thm)],[])).
% 8.71/6.64 tff(27340,plain,
% 8.71/6.64 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB15) | (~v142(constB15))),
% 8.71/6.64 inference(modus_ponens,[status(thm)],[27339, 27338])).
% 8.71/6.64 tff(27341,plain,
% 8.71/6.64 (v148(constB15)),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27340, 14832, 14378])).
% 8.71/6.64 tff(27342,plain,
% 8.71/6.64 ((~(v86(constB15) <=> v148(constB15))) | v86(constB15) | (~v148(constB15))),
% 8.71/6.64 inference(tautology,[status(thm)],[])).
% 8.71/6.64 tff(27343,plain,
% 8.71/6.64 ((~(v86(constB15) <=> v148(constB15))) | v86(constB15)),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27342, 27341])).
% 8.71/6.64 tff(27344,plain,
% 8.71/6.64 (v86(constB15)),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27343, 27337])).
% 8.71/6.64 tff(27345,plain,
% 8.71/6.64 ($false),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27344, 27320])).
% 8.71/6.64 tff(27346,plain,(~(constB15 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.71/6.64 tff(27347,assumption,(constB101 = VarCurr!0), introduced(assumption)).
% 8.71/6.64 tff(27348,plain,
% 8.71/6.64 (v193(constB101) <=> v193(VarCurr!0)),
% 8.71/6.64 inference(monotonicity,[status(thm)],[27347])).
% 8.71/6.64 tff(27349,plain,
% 8.71/6.64 (v193(VarCurr!0) <=> v193(constB101)),
% 8.71/6.64 inference(symmetry,[status(thm)],[27348])).
% 8.71/6.64 tff(27350,plain,
% 8.71/6.64 (v193(constB101)),
% 8.71/6.64 inference(modus_ponens,[status(thm)],[59, 27349])).
% 8.71/6.64 tff(27351,plain,
% 8.71/6.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB100, constB101)) | (v193(constB101) <=> v191(constB100)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB100, constB101)) | (v193(constB101) <=> v191(constB100)))),
% 8.71/6.64 inference(rewrite,[status(thm)],[])).
% 8.71/6.64 tff(27352,plain,
% 8.71/6.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB100, constB101)) | (v193(constB101) <=> v191(constB100)))),
% 8.71/6.64 inference(quant_inst,[status(thm)],[])).
% 8.71/6.64 tff(27353,plain,
% 8.71/6.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB100, constB101)) | (v193(constB101) <=> v191(constB100))),
% 8.71/6.64 inference(modus_ponens,[status(thm)],[27352, 27351])).
% 8.71/6.64 tff(27354,plain,
% 8.71/6.64 (v193(constB101) <=> v191(constB100)),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27353, 10810, 70])).
% 8.71/6.64 tff(27355,plain,
% 8.71/6.64 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB100) <=> (v194(constB100) | v198(constB100)))),
% 8.71/6.64 inference(quant_inst,[status(thm)],[])).
% 8.71/6.64 tff(27356,plain,
% 8.71/6.64 (v191(constB100) <=> (v194(constB100) | v198(constB100))),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27355, 84])).
% 8.71/6.64 tff(27357,plain,
% 8.71/6.64 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB100) <=> (~((~v199(constB100)) | (~v200(constB100)))))),
% 8.71/6.64 inference(quant_inst,[status(thm)],[])).
% 8.71/6.64 tff(27358,plain,
% 8.71/6.64 (v198(constB100) <=> (~((~v199(constB100)) | (~v200(constB100))))),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27357, 96])).
% 8.71/6.64 tff(27359,plain,
% 8.71/6.64 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB100) <=> (~((~v197(constB100)) | (~v201(constB100)))))),
% 8.71/6.64 inference(quant_inst,[status(thm)],[])).
% 8.71/6.64 tff(27360,plain,
% 8.71/6.64 (v200(constB100) <=> (~((~v197(constB100)) | (~v201(constB100))))),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27359, 108])).
% 8.71/6.64 tff(27361,plain,
% 8.71/6.64 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB100) <=> (~((~v39(constB100)) | (~v9(constB100)))))),
% 8.71/6.64 inference(quant_inst,[status(thm)],[])).
% 8.71/6.64 tff(27362,plain,
% 8.71/6.64 (v197(constB100) <=> (~((~v39(constB100)) | (~v9(constB100))))),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27361, 120])).
% 8.71/6.64 tff(27363,plain,
% 8.71/6.64 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB100)) <=> v1(constB100))),
% 8.71/6.64 inference(quant_inst,[status(thm)],[])).
% 8.71/6.64 tff(27364,plain,
% 8.71/6.64 ((~v39(constB100)) <=> v1(constB100)),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27363, 129])).
% 8.71/6.64 tff(27365,plain,
% 8.71/6.64 ((~((~v39(constB100)) <=> v1(constB100))) | (~v39(constB100)) | (~v1(constB100))),
% 8.71/6.64 inference(tautology,[status(thm)],[])).
% 8.71/6.64 tff(27366,plain,
% 8.71/6.64 ((~((~v39(constB100)) <=> v1(constB100))) | (~v39(constB100))),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27365, 12927])).
% 8.71/6.64 tff(27367,plain,
% 8.71/6.64 (~v39(constB100)),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27366, 27364])).
% 8.71/6.64 tff(27368,plain,
% 8.71/6.64 (((~v39(constB100)) | (~v9(constB100))) | v39(constB100)),
% 8.71/6.64 inference(tautology,[status(thm)],[])).
% 8.71/6.64 tff(27369,plain,
% 8.71/6.64 ((~v39(constB100)) | (~v9(constB100))),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27368, 27367])).
% 8.71/6.64 tff(27370,plain,
% 8.71/6.64 ((~(v197(constB100) <=> (~((~v39(constB100)) | (~v9(constB100)))))) | (~v197(constB100)) | (~((~v39(constB100)) | (~v9(constB100))))),
% 8.71/6.64 inference(tautology,[status(thm)],[])).
% 8.71/6.64 tff(27371,plain,
% 8.71/6.64 ((~(v197(constB100) <=> (~((~v39(constB100)) | (~v9(constB100)))))) | (~v197(constB100))),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27370, 27369])).
% 8.71/6.64 tff(27372,plain,
% 8.71/6.64 (~v197(constB100)),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27371, 27362])).
% 8.71/6.64 tff(27373,plain,
% 8.71/6.64 (((~v197(constB100)) | (~v201(constB100))) | v197(constB100)),
% 8.71/6.64 inference(tautology,[status(thm)],[])).
% 8.71/6.64 tff(27374,plain,
% 8.71/6.64 ((~v197(constB100)) | (~v201(constB100))),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27373, 27372])).
% 8.71/6.64 tff(27375,plain,
% 8.71/6.64 ((~(v200(constB100) <=> (~((~v197(constB100)) | (~v201(constB100)))))) | (~v200(constB100)) | (~((~v197(constB100)) | (~v201(constB100))))),
% 8.71/6.64 inference(tautology,[status(thm)],[])).
% 8.71/6.64 tff(27376,plain,
% 8.71/6.64 ((~(v200(constB100) <=> (~((~v197(constB100)) | (~v201(constB100)))))) | (~v200(constB100))),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27375, 27374])).
% 8.71/6.64 tff(27377,plain,
% 8.71/6.64 (~v200(constB100)),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27376, 27360])).
% 8.71/6.64 tff(27378,plain,
% 8.71/6.64 (((~v199(constB100)) | (~v200(constB100))) | v200(constB100)),
% 8.71/6.64 inference(tautology,[status(thm)],[])).
% 8.71/6.64 tff(27379,plain,
% 8.71/6.64 ((~v199(constB100)) | (~v200(constB100))),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27378, 27377])).
% 8.71/6.64 tff(27380,plain,
% 8.71/6.64 ((~(v198(constB100) <=> (~((~v199(constB100)) | (~v200(constB100)))))) | (~v198(constB100)) | (~((~v199(constB100)) | (~v200(constB100))))),
% 8.71/6.64 inference(tautology,[status(thm)],[])).
% 8.71/6.64 tff(27381,plain,
% 8.71/6.64 (~v198(constB100)),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27380, 27379, 27358])).
% 8.71/6.64 tff(27382,plain,
% 8.71/6.64 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB100) <=> (~((~v157(constB100)) | (~v195(constB100)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB100) <=> (~((~v157(constB100)) | (~v195(constB100))))))),
% 8.71/6.64 inference(rewrite,[status(thm)],[])).
% 8.71/6.64 tff(27383,plain,
% 8.71/6.64 ((v194(constB100) <=> (~((~v195(constB100)) | (~v157(constB100))))) <=> (v194(constB100) <=> (~((~v157(constB100)) | (~v195(constB100)))))),
% 8.71/6.64 inference(rewrite,[status(thm)],[])).
% 8.71/6.64 tff(27384,plain,
% 8.71/6.64 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB100) <=> (~((~v195(constB100)) | (~v157(constB100)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB100) <=> (~((~v157(constB100)) | (~v195(constB100))))))),
% 8.71/6.64 inference(monotonicity,[status(thm)],[27383])).
% 8.71/6.64 tff(27385,plain,
% 8.71/6.64 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB100) <=> (~((~v195(constB100)) | (~v157(constB100)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB100) <=> (~((~v157(constB100)) | (~v195(constB100))))))),
% 8.71/6.64 inference(transitivity,[status(thm)],[27384, 27382])).
% 8.71/6.64 tff(27386,plain,
% 8.71/6.64 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB100) <=> (~((~v195(constB100)) | (~v157(constB100)))))),
% 8.71/6.64 inference(quant_inst,[status(thm)],[])).
% 8.71/6.64 tff(27387,plain,
% 8.71/6.64 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB100) <=> (~((~v157(constB100)) | (~v195(constB100)))))),
% 8.71/6.64 inference(modus_ponens,[status(thm)],[27386, 27385])).
% 8.71/6.64 tff(27388,plain,
% 8.71/6.64 (v194(constB100) <=> (~((~v157(constB100)) | (~v195(constB100))))),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27387, 161])).
% 8.71/6.64 tff(27389,plain,
% 8.71/6.64 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB100) <=> v193(constB100))),
% 8.71/6.64 inference(quant_inst,[status(thm)],[])).
% 8.71/6.64 tff(27390,plain,
% 8.71/6.64 (v157(constB100) <=> v193(constB100)),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27389, 13])).
% 8.71/6.64 tff(27391,plain,
% 8.71/6.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB99, constB100)) | (v193(constB100) <=> v191(constB99)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB99, constB100)) | (v193(constB100) <=> v191(constB99)))),
% 8.71/6.64 inference(rewrite,[status(thm)],[])).
% 8.71/6.64 tff(27392,plain,
% 8.71/6.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB99, constB100)) | (v193(constB100) <=> v191(constB99)))),
% 8.71/6.64 inference(quant_inst,[status(thm)],[])).
% 8.71/6.64 tff(27393,plain,
% 8.71/6.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB99, constB100)) | (v193(constB100) <=> v191(constB99))),
% 8.71/6.64 inference(modus_ponens,[status(thm)],[27392, 27391])).
% 8.71/6.64 tff(27394,plain,
% 8.71/6.64 (v193(constB100) <=> v191(constB99)),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27393, 10846, 70])).
% 8.71/6.64 tff(27395,plain,
% 8.71/6.64 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB99) <=> (v194(constB99) | v198(constB99)))),
% 8.71/6.64 inference(quant_inst,[status(thm)],[])).
% 8.71/6.64 tff(27396,plain,
% 8.71/6.64 (v191(constB99) <=> (v194(constB99) | v198(constB99))),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27395, 84])).
% 8.71/6.64 tff(27397,plain,
% 8.71/6.64 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB99) <=> (~((~v157(constB99)) | (~v195(constB99)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB99) <=> (~((~v157(constB99)) | (~v195(constB99))))))),
% 8.71/6.64 inference(rewrite,[status(thm)],[])).
% 8.71/6.64 tff(27398,plain,
% 8.71/6.64 ((v194(constB99) <=> (~((~v195(constB99)) | (~v157(constB99))))) <=> (v194(constB99) <=> (~((~v157(constB99)) | (~v195(constB99)))))),
% 8.71/6.64 inference(rewrite,[status(thm)],[])).
% 8.71/6.64 tff(27399,plain,
% 8.71/6.64 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB99) <=> (~((~v195(constB99)) | (~v157(constB99)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB99) <=> (~((~v157(constB99)) | (~v195(constB99))))))),
% 8.71/6.64 inference(monotonicity,[status(thm)],[27398])).
% 8.71/6.64 tff(27400,plain,
% 8.71/6.64 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB99) <=> (~((~v195(constB99)) | (~v157(constB99)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB99) <=> (~((~v157(constB99)) | (~v195(constB99))))))),
% 8.71/6.64 inference(transitivity,[status(thm)],[27399, 27397])).
% 8.71/6.64 tff(27401,plain,
% 8.71/6.64 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB99) <=> (~((~v195(constB99)) | (~v157(constB99)))))),
% 8.71/6.64 inference(quant_inst,[status(thm)],[])).
% 8.71/6.64 tff(27402,plain,
% 8.71/6.64 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB99) <=> (~((~v157(constB99)) | (~v195(constB99)))))),
% 8.71/6.64 inference(modus_ponens,[status(thm)],[27401, 27400])).
% 8.71/6.64 tff(27403,plain,
% 8.71/6.64 (v194(constB99) <=> (~((~v157(constB99)) | (~v195(constB99))))),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27402, 161])).
% 8.71/6.64 tff(27404,plain,
% 8.71/6.64 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB99)) <=> v196(constB99))),
% 8.71/6.64 inference(quant_inst,[status(thm)],[])).
% 8.71/6.64 tff(27405,plain,
% 8.71/6.64 ((~v195(constB99)) <=> v196(constB99)),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27404, 193])).
% 8.71/6.64 tff(27406,plain,
% 8.71/6.64 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB99) <=> (v197(constB99) | v26(constB99)))),
% 8.71/6.64 inference(quant_inst,[status(thm)],[])).
% 8.71/6.64 tff(27407,plain,
% 8.71/6.64 (v196(constB99) <=> (v197(constB99) | v26(constB99))),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27406, 202])).
% 8.71/6.64 tff(27408,plain,
% 8.71/6.64 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB99) <=> (~((~v39(constB99)) | (~v9(constB99)))))),
% 8.71/6.64 inference(quant_inst,[status(thm)],[])).
% 8.71/6.64 tff(27409,plain,
% 8.71/6.64 (v197(constB99) <=> (~((~v39(constB99)) | (~v9(constB99))))),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27408, 120])).
% 8.71/6.64 tff(27410,plain,
% 8.71/6.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB99, constB100)) | (v13(constB100) <=> v9(constB99)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB99, constB100)) | (v13(constB100) <=> v9(constB99)))),
% 8.71/6.64 inference(rewrite,[status(thm)],[])).
% 8.71/6.64 tff(27411,plain,
% 8.71/6.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB99, constB100)) | (v13(constB100) <=> v9(constB99)))),
% 8.71/6.64 inference(quant_inst,[status(thm)],[])).
% 8.71/6.64 tff(27412,plain,
% 8.71/6.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB99, constB100)) | (v13(constB100) <=> v9(constB99))),
% 8.71/6.64 inference(modus_ponens,[status(thm)],[27411, 27410])).
% 8.71/6.64 tff(27413,plain,
% 8.71/6.64 (v13(constB100) <=> v9(constB99)),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27412, 10846, 216])).
% 8.71/6.64 tff(27414,plain,
% 8.71/6.64 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB100) <=> v13(constB100))),
% 8.71/6.64 inference(quant_inst,[status(thm)],[])).
% 8.71/6.64 tff(27415,plain,
% 8.71/6.64 (v6(constB100) <=> v13(constB100)),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27414, 230])).
% 8.71/6.64 tff(27416,plain,
% 8.71/6.64 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB100)) <=> v6(constB100))),
% 8.71/6.64 inference(quant_inst,[status(thm)],[])).
% 8.71/6.64 tff(27417,plain,
% 8.71/6.64 ((~v21(constB100)) <=> v6(constB100)),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27416, 239])).
% 8.71/6.64 tff(27418,plain,
% 8.71/6.64 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB100) <=> (v20(constB100) | v21(constB100)))),
% 8.71/6.64 inference(quant_inst,[status(thm)],[])).
% 8.71/6.64 tff(27419,plain,
% 8.71/6.64 (v19(constB100) <=> (v20(constB100) | v21(constB100))),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27418, 248])).
% 8.71/6.64 tff(27420,plain,
% 8.71/6.64 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB100) <=> (~((~v19(constB100)) | (~v22(constB100)))))),
% 8.71/6.64 inference(quant_inst,[status(thm)],[])).
% 8.71/6.64 tff(27421,plain,
% 8.71/6.64 (v18(constB100) <=> (~((~v19(constB100)) | (~v22(constB100))))),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27420, 260])).
% 8.71/6.64 tff(27422,plain,
% 8.71/6.64 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB100)) <=> v18(constB100))),
% 8.71/6.64 inference(quant_inst,[status(thm)],[])).
% 8.71/6.64 tff(27423,plain,
% 8.71/6.64 ((~v4(constB100)) <=> v18(constB100)),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27422, 269])).
% 8.71/6.64 tff(27424,plain,
% 8.71/6.64 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB100)),
% 8.71/6.64 inference(quant_inst,[status(thm)],[])).
% 8.71/6.64 tff(27425,plain,
% 8.71/6.64 (v4(constB100)),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27424, 278])).
% 8.71/6.64 tff(27426,plain,
% 8.71/6.64 ((~((~v4(constB100)) <=> v18(constB100))) | (~v4(constB100)) | (~v18(constB100))),
% 8.71/6.64 inference(tautology,[status(thm)],[])).
% 8.71/6.64 tff(27427,plain,
% 8.71/6.64 (~v18(constB100)),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27426, 27425, 27423])).
% 8.71/6.64 tff(27428,plain,
% 8.71/6.64 ((~(v18(constB100) <=> (~((~v19(constB100)) | (~v22(constB100)))))) | v18(constB100) | ((~v19(constB100)) | (~v22(constB100)))),
% 8.71/6.64 inference(tautology,[status(thm)],[])).
% 8.71/6.64 tff(27429,plain,
% 8.71/6.64 ((~v19(constB100)) | (~v22(constB100))),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27428, 27427, 27421])).
% 8.71/6.64 tff(27430,plain,
% 8.71/6.64 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB100) <=> (v1(constB100) | v6(constB100)))),
% 8.71/6.64 inference(quant_inst,[status(thm)],[])).
% 8.71/6.64 tff(27431,plain,
% 8.71/6.64 (v22(constB100) <=> (v1(constB100) | v6(constB100))),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27430, 291])).
% 8.71/6.64 tff(27432,plain,
% 8.71/6.64 ((v1(constB100) | v6(constB100)) | (~v1(constB100))),
% 8.71/6.64 inference(tautology,[status(thm)],[])).
% 8.71/6.64 tff(27433,plain,
% 8.71/6.64 (v1(constB100) | v6(constB100)),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27432, 12927])).
% 8.71/6.64 tff(27434,plain,
% 8.71/6.64 ((~(v22(constB100) <=> (v1(constB100) | v6(constB100)))) | v22(constB100) | (~(v1(constB100) | v6(constB100)))),
% 8.71/6.64 inference(tautology,[status(thm)],[])).
% 8.71/6.64 tff(27435,plain,
% 8.71/6.64 ((~(v22(constB100) <=> (v1(constB100) | v6(constB100)))) | v22(constB100)),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27434, 27433])).
% 8.71/6.64 tff(27436,plain,
% 8.71/6.64 (v22(constB100)),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27435, 27431])).
% 8.71/6.64 tff(27437,plain,
% 8.71/6.64 ((~((~v19(constB100)) | (~v22(constB100)))) | (~v19(constB100)) | (~v22(constB100))),
% 8.71/6.64 inference(tautology,[status(thm)],[])).
% 8.71/6.64 tff(27438,plain,
% 8.71/6.64 ((~((~v19(constB100)) | (~v22(constB100)))) | (~v19(constB100))),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27437, 27436])).
% 8.71/6.64 tff(27439,plain,
% 8.71/6.64 (~v19(constB100)),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27438, 27429])).
% 8.71/6.64 tff(27440,plain,
% 8.71/6.64 ((~(v19(constB100) <=> (v20(constB100) | v21(constB100)))) | v19(constB100) | (~(v20(constB100) | v21(constB100)))),
% 8.71/6.64 inference(tautology,[status(thm)],[])).
% 8.71/6.64 tff(27441,plain,
% 8.71/6.64 (~(v20(constB100) | v21(constB100))),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27440, 27439, 27419])).
% 8.71/6.64 tff(27442,plain,
% 8.71/6.64 ((v20(constB100) | v21(constB100)) | (~v21(constB100))),
% 8.71/6.64 inference(tautology,[status(thm)],[])).
% 8.71/6.64 tff(27443,plain,
% 8.71/6.64 (~v21(constB100)),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27442, 27441])).
% 8.71/6.64 tff(27444,plain,
% 8.71/6.64 ((~((~v21(constB100)) <=> v6(constB100))) | v21(constB100) | v6(constB100)),
% 8.71/6.64 inference(tautology,[status(thm)],[])).
% 8.71/6.64 tff(27445,plain,
% 8.71/6.64 (v6(constB100)),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27444, 27443, 27417])).
% 8.71/6.64 tff(27446,plain,
% 8.71/6.64 ((~(v6(constB100) <=> v13(constB100))) | (~v6(constB100)) | v13(constB100)),
% 8.71/6.64 inference(tautology,[status(thm)],[])).
% 8.71/6.64 tff(27447,plain,
% 8.71/6.64 (v13(constB100)),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27446, 27445, 27415])).
% 8.71/6.64 tff(27448,plain,
% 8.71/6.64 ((~(v13(constB100) <=> v9(constB99))) | (~v13(constB100)) | v9(constB99)),
% 8.71/6.64 inference(tautology,[status(thm)],[])).
% 8.71/6.64 tff(27449,plain,
% 8.71/6.64 (v9(constB99)),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27448, 27447, 27413])).
% 8.71/6.64 tff(27450,plain,
% 8.71/6.64 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB99)) <=> v1(constB99))),
% 8.71/6.64 inference(quant_inst,[status(thm)],[])).
% 8.71/6.64 tff(27451,plain,
% 8.71/6.64 ((~v39(constB99)) <=> v1(constB99)),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27450, 129])).
% 8.71/6.64 tff(27452,plain,
% 8.71/6.64 ((~((~v39(constB99)) <=> v1(constB99))) | v39(constB99) | v1(constB99)),
% 8.71/6.64 inference(tautology,[status(thm)],[])).
% 8.71/6.64 tff(27453,plain,
% 8.71/6.64 ((~((~v39(constB99)) <=> v1(constB99))) | v39(constB99)),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27452, 10890])).
% 8.71/6.64 tff(27454,plain,
% 8.71/6.64 (v39(constB99)),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27453, 27451])).
% 8.71/6.64 tff(27455,plain,
% 8.71/6.64 ((~((~v39(constB99)) | (~v9(constB99)))) | (~v39(constB99)) | (~v9(constB99))),
% 8.71/6.64 inference(tautology,[status(thm)],[])).
% 8.71/6.64 tff(27456,plain,
% 8.71/6.64 ((~((~v39(constB99)) | (~v9(constB99)))) | (~v9(constB99))),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27455, 27454])).
% 8.71/6.64 tff(27457,plain,
% 8.71/6.64 (~((~v39(constB99)) | (~v9(constB99)))),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27456, 27449])).
% 8.71/6.64 tff(27458,plain,
% 8.71/6.64 ((~(v197(constB99) <=> (~((~v39(constB99)) | (~v9(constB99)))))) | v197(constB99) | ((~v39(constB99)) | (~v9(constB99)))),
% 8.71/6.64 inference(tautology,[status(thm)],[])).
% 8.71/6.64 tff(27459,plain,
% 8.71/6.64 (v197(constB99)),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27458, 27457, 27409])).
% 8.71/6.64 tff(27460,plain,
% 8.71/6.64 ((v197(constB99) | v26(constB99)) | (~v197(constB99))),
% 8.71/6.64 inference(tautology,[status(thm)],[])).
% 8.71/6.64 tff(27461,plain,
% 8.71/6.64 (v197(constB99) | v26(constB99)),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27460, 27459])).
% 8.71/6.64 tff(27462,plain,
% 8.71/6.64 ((~(v196(constB99) <=> (v197(constB99) | v26(constB99)))) | v196(constB99) | (~(v197(constB99) | v26(constB99)))),
% 8.71/6.64 inference(tautology,[status(thm)],[])).
% 8.71/6.64 tff(27463,plain,
% 8.71/6.64 (v196(constB99)),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27462, 27461, 27407])).
% 8.71/6.64 tff(27464,plain,
% 8.71/6.64 ((~((~v195(constB99)) <=> v196(constB99))) | (~v195(constB99)) | (~v196(constB99))),
% 8.71/6.64 inference(tautology,[status(thm)],[])).
% 8.71/6.64 tff(27465,plain,
% 8.71/6.64 (~v195(constB99)),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27464, 27463, 27405])).
% 8.71/6.64 tff(27466,plain,
% 8.71/6.64 (((~v157(constB99)) | (~v195(constB99))) | v195(constB99)),
% 8.71/6.64 inference(tautology,[status(thm)],[])).
% 8.71/6.64 tff(27467,plain,
% 8.71/6.64 ((~v157(constB99)) | (~v195(constB99))),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27466, 27465])).
% 8.71/6.64 tff(27468,plain,
% 8.71/6.64 ((~(v194(constB99) <=> (~((~v157(constB99)) | (~v195(constB99)))))) | (~v194(constB99)) | (~((~v157(constB99)) | (~v195(constB99))))),
% 8.71/6.64 inference(tautology,[status(thm)],[])).
% 8.71/6.64 tff(27469,plain,
% 8.71/6.64 (~v194(constB99)),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27468, 27467, 27403])).
% 8.71/6.64 tff(27470,plain,
% 8.71/6.64 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB99) <=> (~((~v199(constB99)) | (~v200(constB99)))))),
% 8.71/6.64 inference(quant_inst,[status(thm)],[])).
% 8.71/6.64 tff(27471,plain,
% 8.71/6.64 (v198(constB99) <=> (~((~v199(constB99)) | (~v200(constB99))))),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27470, 96])).
% 8.71/6.64 tff(27472,plain,
% 8.71/6.64 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB99) <=> (~((~v197(constB99)) | (~v201(constB99)))))),
% 8.71/6.64 inference(quant_inst,[status(thm)],[])).
% 8.71/6.64 tff(27473,plain,
% 8.71/6.64 (v200(constB99) <=> (~((~v197(constB99)) | (~v201(constB99))))),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27472, 108])).
% 8.71/6.64 tff(27474,plain,
% 8.71/6.64 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB99) <=> (~((~v159(constB99)) | (~v161(constB99)))))),
% 8.71/6.64 inference(quant_inst,[status(thm)],[])).
% 8.71/6.64 tff(27475,plain,
% 8.71/6.64 (v201(constB99) <=> (~((~v159(constB99)) | (~v161(constB99))))),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27474, 348])).
% 8.71/6.64 tff(27476,plain,
% 8.71/6.64 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB99) <=> v163(constB99))),
% 8.71/6.64 inference(quant_inst,[status(thm)],[])).
% 8.71/6.64 tff(27477,plain,
% 8.71/6.64 (v161(constB99) <=> v163(constB99)),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27476, 357])).
% 8.71/6.64 tff(27478,plain,
% 8.71/6.64 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB99) <=> (v145(constB99) | v167(constB99)))),
% 8.71/6.64 inference(quant_inst,[status(thm)],[])).
% 8.71/6.64 tff(27479,plain,
% 8.71/6.64 (v166(constB99) <=> (v145(constB99) | v167(constB99))),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27478, 369])).
% 8.71/6.64 tff(27480,plain,
% 8.71/6.64 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB99) <=> (v142(constB99) | v168(constB99)))),
% 8.71/6.64 inference(quant_inst,[status(thm)],[])).
% 8.71/6.64 tff(27481,plain,
% 8.71/6.64 (v167(constB99) <=> (v142(constB99) | v168(constB99))),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27480, 381])).
% 8.71/6.64 tff(27482,plain,
% 8.71/6.64 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB99) <=> (v143(constB99) | v144(constB99)))),
% 8.71/6.64 inference(quant_inst,[status(thm)],[])).
% 8.71/6.64 tff(27483,plain,
% 8.71/6.64 (v142(constB99) <=> (v143(constB99) | v144(constB99))),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27482, 10332])).
% 8.71/6.64 tff(27484,plain,
% 8.71/6.64 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB99) <=> (~((~v88(constB99, bitIndex1)) | v88(constB99, bitIndex2) | v88(constB99, bitIndex0))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB99) <=> (~((~v88(constB99, bitIndex1)) | v88(constB99, bitIndex2) | v88(constB99, bitIndex0)))))),
% 8.71/6.64 inference(rewrite,[status(thm)],[])).
% 8.71/6.64 tff(27485,plain,
% 8.71/6.64 ((v143(constB99) <=> (~(v88(constB99, bitIndex0) | v88(constB99, bitIndex2) | (~v88(constB99, bitIndex1))))) <=> (v143(constB99) <=> (~((~v88(constB99, bitIndex1)) | v88(constB99, bitIndex2) | v88(constB99, bitIndex0))))),
% 8.71/6.64 inference(rewrite,[status(thm)],[])).
% 8.71/6.64 tff(27486,plain,
% 8.71/6.64 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB99) <=> (~(v88(constB99, bitIndex0) | v88(constB99, bitIndex2) | (~v88(constB99, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB99) <=> (~((~v88(constB99, bitIndex1)) | v88(constB99, bitIndex2) | v88(constB99, bitIndex0)))))),
% 8.71/6.64 inference(monotonicity,[status(thm)],[27485])).
% 8.71/6.64 tff(27487,plain,
% 8.71/6.64 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB99) <=> (~(v88(constB99, bitIndex0) | v88(constB99, bitIndex2) | (~v88(constB99, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB99) <=> (~((~v88(constB99, bitIndex1)) | v88(constB99, bitIndex2) | v88(constB99, bitIndex0)))))),
% 8.71/6.64 inference(transitivity,[status(thm)],[27486, 27484])).
% 8.71/6.64 tff(27488,plain,
% 8.71/6.64 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB99) <=> (~(v88(constB99, bitIndex0) | v88(constB99, bitIndex2) | (~v88(constB99, bitIndex1)))))),
% 8.71/6.64 inference(quant_inst,[status(thm)],[])).
% 8.71/6.64 tff(27489,plain,
% 8.71/6.64 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB99) <=> (~((~v88(constB99, bitIndex1)) | v88(constB99, bitIndex2) | v88(constB99, bitIndex0))))),
% 8.71/6.64 inference(modus_ponens,[status(thm)],[27488, 27487])).
% 8.71/6.64 tff(27490,plain,
% 8.71/6.64 (v143(constB99) <=> (~((~v88(constB99, bitIndex1)) | v88(constB99, bitIndex2) | v88(constB99, bitIndex0)))),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27489, 14770])).
% 8.71/6.64 tff(27491,plain,
% 8.71/6.64 ((~![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))) | (~(((~v88(constB99, bitIndex1)) <=> v90(constB99, bitIndex1)) | ((~v88(constB99, bitIndex2)) <=> v90(constB99, bitIndex2)) | ((~v88(constB99, bitIndex0)) <=> v90(constB99, bitIndex0))))),
% 8.71/6.64 inference(quant_inst,[status(thm)],[])).
% 8.71/6.64 tff(27492,plain,
% 8.71/6.64 (~(((~v88(constB99, bitIndex1)) <=> v90(constB99, bitIndex1)) | ((~v88(constB99, bitIndex2)) <=> v90(constB99, bitIndex2)) | ((~v88(constB99, bitIndex0)) <=> v90(constB99, bitIndex0)))),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27491, 428])).
% 8.71/6.64 tff(27493,plain,
% 8.71/6.64 ((((~v88(constB99, bitIndex1)) <=> v90(constB99, bitIndex1)) | ((~v88(constB99, bitIndex2)) <=> v90(constB99, bitIndex2)) | ((~v88(constB99, bitIndex0)) <=> v90(constB99, bitIndex0))) | (~((~v88(constB99, bitIndex2)) <=> v90(constB99, bitIndex2)))),
% 8.71/6.64 inference(tautology,[status(thm)],[])).
% 8.71/6.64 tff(27494,plain,
% 8.71/6.64 (~((~v88(constB99, bitIndex2)) <=> v90(constB99, bitIndex2))),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27493, 27492])).
% 8.71/6.64 tff(27495,plain,
% 8.71/6.64 (((~v88(constB99, bitIndex2)) <=> v90(constB99, bitIndex2)) | (~v88(constB99, bitIndex2)) | v90(constB99, bitIndex2)),
% 8.71/6.64 inference(tautology,[status(thm)],[])).
% 8.71/6.64 tff(27496,plain,
% 8.71/6.64 (~v88(constB99, bitIndex2)),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27495, 12849, 27494])).
% 8.71/6.64 tff(27497,plain,
% 8.71/6.64 ((((~v88(constB99, bitIndex1)) <=> v90(constB99, bitIndex1)) | ((~v88(constB99, bitIndex2)) <=> v90(constB99, bitIndex2)) | ((~v88(constB99, bitIndex0)) <=> v90(constB99, bitIndex0))) | (~((~v88(constB99, bitIndex0)) <=> v90(constB99, bitIndex0)))),
% 8.71/6.64 inference(tautology,[status(thm)],[])).
% 8.71/6.64 tff(27498,plain,
% 8.71/6.64 (~((~v88(constB99, bitIndex0)) <=> v90(constB99, bitIndex0))),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27497, 27492])).
% 8.71/6.64 tff(27499,plain,
% 8.71/6.64 (((~v88(constB99, bitIndex0)) <=> v90(constB99, bitIndex0)) | (~v88(constB99, bitIndex0)) | v90(constB99, bitIndex0)),
% 8.71/6.64 inference(tautology,[status(thm)],[])).
% 8.71/6.64 tff(27500,plain,
% 8.71/6.64 (~v88(constB99, bitIndex0)),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27499, 12867, 27498])).
% 8.71/6.64 tff(27501,plain,
% 8.71/6.64 ((((~v88(constB99, bitIndex1)) <=> v90(constB99, bitIndex1)) | ((~v88(constB99, bitIndex2)) <=> v90(constB99, bitIndex2)) | ((~v88(constB99, bitIndex0)) <=> v90(constB99, bitIndex0))) | (~((~v88(constB99, bitIndex1)) <=> v90(constB99, bitIndex1)))),
% 8.71/6.64 inference(tautology,[status(thm)],[])).
% 8.71/6.64 tff(27502,plain,
% 8.71/6.64 (~((~v88(constB99, bitIndex1)) <=> v90(constB99, bitIndex1))),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27501, 27492])).
% 8.71/6.64 tff(27503,plain,
% 8.71/6.64 (((~v88(constB99, bitIndex1)) <=> v90(constB99, bitIndex1)) | v88(constB99, bitIndex1) | (~v90(constB99, bitIndex1))),
% 8.71/6.64 inference(tautology,[status(thm)],[])).
% 8.71/6.64 tff(27504,plain,
% 8.71/6.64 (v88(constB99, bitIndex1)),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27503, 12885, 27502])).
% 8.71/6.64 tff(27505,plain,
% 8.71/6.64 ((~((~v88(constB99, bitIndex1)) | v88(constB99, bitIndex2) | v88(constB99, bitIndex0))) | (~v88(constB99, bitIndex1)) | v88(constB99, bitIndex2) | v88(constB99, bitIndex0)),
% 8.71/6.64 inference(tautology,[status(thm)],[])).
% 8.71/6.64 tff(27506,plain,
% 8.71/6.64 (~((~v88(constB99, bitIndex1)) | v88(constB99, bitIndex2) | v88(constB99, bitIndex0))),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27505, 27504, 27500, 27496])).
% 8.71/6.64 tff(27507,plain,
% 8.71/6.64 ((~(v143(constB99) <=> (~((~v88(constB99, bitIndex1)) | v88(constB99, bitIndex2) | v88(constB99, bitIndex0))))) | v143(constB99) | ((~v88(constB99, bitIndex1)) | v88(constB99, bitIndex2) | v88(constB99, bitIndex0))),
% 8.71/6.64 inference(tautology,[status(thm)],[])).
% 8.71/6.64 tff(27508,plain,
% 8.71/6.64 (v143(constB99)),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27507, 27506, 27490])).
% 8.71/6.64 tff(27509,plain,
% 8.71/6.64 ((v143(constB99) | v144(constB99)) | (~v143(constB99))),
% 8.71/6.64 inference(tautology,[status(thm)],[])).
% 8.71/6.64 tff(27510,plain,
% 8.71/6.64 (v143(constB99) | v144(constB99)),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27509, 27508])).
% 8.71/6.64 tff(27511,plain,
% 8.71/6.64 ((~(v142(constB99) <=> (v143(constB99) | v144(constB99)))) | v142(constB99) | (~(v143(constB99) | v144(constB99)))),
% 8.71/6.64 inference(tautology,[status(thm)],[])).
% 8.71/6.64 tff(27512,plain,
% 8.71/6.64 (v142(constB99)),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27511, 27510, 27483])).
% 8.71/6.64 tff(27513,plain,
% 8.71/6.64 ((v142(constB99) | v168(constB99)) | (~v142(constB99))),
% 8.71/6.64 inference(tautology,[status(thm)],[])).
% 8.71/6.64 tff(27514,plain,
% 8.71/6.64 (v142(constB99) | v168(constB99)),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27513, 27512])).
% 8.71/6.64 tff(27515,plain,
% 8.71/6.64 ((~(v167(constB99) <=> (v142(constB99) | v168(constB99)))) | v167(constB99) | (~(v142(constB99) | v168(constB99)))),
% 8.71/6.64 inference(tautology,[status(thm)],[])).
% 8.71/6.64 tff(27516,plain,
% 8.71/6.64 ((~(v167(constB99) <=> (v142(constB99) | v168(constB99)))) | v167(constB99)),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27515, 27514])).
% 8.71/6.64 tff(27517,plain,
% 8.71/6.64 (v167(constB99)),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27516, 27481])).
% 8.71/6.64 tff(27518,plain,
% 8.71/6.64 ((v145(constB99) | v167(constB99)) | (~v167(constB99))),
% 8.71/6.64 inference(tautology,[status(thm)],[])).
% 8.71/6.64 tff(27519,plain,
% 8.71/6.64 (v145(constB99) | v167(constB99)),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27518, 27517])).
% 8.71/6.64 tff(27520,plain,
% 8.71/6.64 ((~(v166(constB99) <=> (v145(constB99) | v167(constB99)))) | v166(constB99) | (~(v145(constB99) | v167(constB99)))),
% 8.71/6.64 inference(tautology,[status(thm)],[])).
% 8.71/6.64 tff(27521,plain,
% 8.71/6.64 (v166(constB99)),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27520, 27519, 27479])).
% 8.71/6.64 tff(27522,plain,
% 8.71/6.64 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB99)) | (v163(constB99) <=> v170(constB99)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB99)) | (v163(constB99) <=> v170(constB99)))),
% 8.71/6.64 inference(rewrite,[status(thm)],[])).
% 8.71/6.64 tff(27523,plain,
% 8.71/6.64 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB99)) | (v163(constB99) <=> v170(constB99)))),
% 8.71/6.64 inference(quant_inst,[status(thm)],[])).
% 8.71/6.64 tff(27524,plain,
% 8.71/6.64 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB99)) | (v163(constB99) <=> v170(constB99))),
% 8.71/6.64 inference(modus_ponens,[status(thm)],[27523, 27522])).
% 8.71/6.64 tff(27525,plain,
% 8.71/6.64 ((~v166(constB99)) | (v163(constB99) <=> v170(constB99))),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27524, 9851])).
% 8.71/6.64 tff(27526,plain,
% 8.71/6.64 (v163(constB99) <=> v170(constB99)),
% 8.71/6.64 inference(unit_resolution,[status(thm)],[27525, 27521])).
% 8.71/6.64 tff(27527,plain,
% 8.71/6.64 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB99) <=> (v142(constB99) | v150(constB99)))),
% 8.71/6.64 inference(quant_inst,[status(thm)],[])).
% 8.71/6.64 tff(27528,plain,
% 8.71/6.64 (v171(constB99) <=> (v142(constB99) | v150(constB99))),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27527, 9866])).
% 8.71/6.65 tff(27529,plain,
% 8.71/6.65 ((v142(constB99) | v150(constB99)) | (~v142(constB99))),
% 8.71/6.65 inference(tautology,[status(thm)],[])).
% 8.71/6.65 tff(27530,plain,
% 8.71/6.65 (v142(constB99) | v150(constB99)),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27529, 27512])).
% 8.71/6.65 tff(27531,plain,
% 8.71/6.65 ((~(v171(constB99) <=> (v142(constB99) | v150(constB99)))) | v171(constB99) | (~(v142(constB99) | v150(constB99)))),
% 8.71/6.65 inference(tautology,[status(thm)],[])).
% 8.71/6.65 tff(27532,plain,
% 8.71/6.65 ((~(v171(constB99) <=> (v142(constB99) | v150(constB99)))) | v171(constB99)),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27531, 27530])).
% 8.71/6.65 tff(27533,plain,
% 8.71/6.65 (v171(constB99)),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27532, 27528])).
% 8.71/6.65 tff(27534,plain,
% 8.71/6.65 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB99)) | (~v171(constB99)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB99)) | (~v171(constB99)))),
% 8.71/6.65 inference(rewrite,[status(thm)],[])).
% 8.71/6.65 tff(27535,plain,
% 8.71/6.65 (((~v171(constB99)) | (~v170(constB99))) <=> ((~v170(constB99)) | (~v171(constB99)))),
% 8.71/6.65 inference(rewrite,[status(thm)],[])).
% 8.71/6.65 tff(27536,plain,
% 8.71/6.65 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB99)) | (~v170(constB99)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB99)) | (~v171(constB99))))),
% 8.71/6.65 inference(monotonicity,[status(thm)],[27535])).
% 8.71/6.65 tff(27537,plain,
% 8.71/6.65 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB99)) | (~v170(constB99)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB99)) | (~v171(constB99)))),
% 8.71/6.65 inference(transitivity,[status(thm)],[27536, 27534])).
% 8.71/6.65 tff(27538,plain,
% 8.71/6.65 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB99)) | (~v170(constB99)))),
% 8.71/6.65 inference(quant_inst,[status(thm)],[])).
% 8.71/6.65 tff(27539,plain,
% 8.71/6.65 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB99)) | (~v171(constB99))),
% 8.71/6.65 inference(modus_ponens,[status(thm)],[27538, 27537])).
% 8.71/6.65 tff(27540,plain,
% 8.71/6.65 (~v170(constB99)),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27539, 9899, 27533])).
% 8.71/6.65 tff(27541,plain,
% 8.71/6.65 ((~(v163(constB99) <=> v170(constB99))) | (~v163(constB99)) | v170(constB99)),
% 8.71/6.65 inference(tautology,[status(thm)],[])).
% 8.71/6.65 tff(27542,plain,
% 8.71/6.65 (~v163(constB99)),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27541, 27540, 27526])).
% 8.71/6.65 tff(27543,plain,
% 8.71/6.65 ((~(v161(constB99) <=> v163(constB99))) | (~v161(constB99)) | v163(constB99)),
% 8.71/6.65 inference(tautology,[status(thm)],[])).
% 8.71/6.65 tff(27544,plain,
% 8.71/6.65 (~v161(constB99)),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27543, 27542, 27477])).
% 8.71/6.65 tff(27545,plain,
% 8.71/6.65 (((~v159(constB99)) | (~v161(constB99))) | v161(constB99)),
% 8.71/6.65 inference(tautology,[status(thm)],[])).
% 8.71/6.65 tff(27546,plain,
% 8.71/6.65 ((~v159(constB99)) | (~v161(constB99))),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27545, 27544])).
% 8.71/6.65 tff(27547,plain,
% 8.71/6.65 ((~(v201(constB99) <=> (~((~v159(constB99)) | (~v161(constB99)))))) | (~v201(constB99)) | (~((~v159(constB99)) | (~v161(constB99))))),
% 8.71/6.65 inference(tautology,[status(thm)],[])).
% 8.71/6.65 tff(27548,plain,
% 8.71/6.65 (~v201(constB99)),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27547, 27546, 27475])).
% 8.71/6.65 tff(27549,plain,
% 8.71/6.65 (((~v197(constB99)) | (~v201(constB99))) | v201(constB99)),
% 8.71/6.65 inference(tautology,[status(thm)],[])).
% 8.71/6.65 tff(27550,plain,
% 8.71/6.65 ((~v197(constB99)) | (~v201(constB99))),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27549, 27548])).
% 8.71/6.65 tff(27551,plain,
% 8.71/6.65 ((~(v200(constB99) <=> (~((~v197(constB99)) | (~v201(constB99)))))) | (~v200(constB99)) | (~((~v197(constB99)) | (~v201(constB99))))),
% 8.71/6.65 inference(tautology,[status(thm)],[])).
% 8.71/6.65 tff(27552,plain,
% 8.71/6.65 (~v200(constB99)),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27551, 27550, 27473])).
% 8.71/6.65 tff(27553,plain,
% 8.71/6.65 (((~v199(constB99)) | (~v200(constB99))) | v200(constB99)),
% 8.71/6.65 inference(tautology,[status(thm)],[])).
% 8.71/6.65 tff(27554,plain,
% 8.71/6.65 ((~v199(constB99)) | (~v200(constB99))),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27553, 27552])).
% 8.71/6.65 tff(27555,plain,
% 8.71/6.65 ((~(v198(constB99) <=> (~((~v199(constB99)) | (~v200(constB99)))))) | (~v198(constB99)) | (~((~v199(constB99)) | (~v200(constB99))))),
% 8.71/6.65 inference(tautology,[status(thm)],[])).
% 8.71/6.65 tff(27556,plain,
% 8.71/6.65 (~v198(constB99)),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27555, 27554, 27471])).
% 8.71/6.65 tff(27557,plain,
% 8.71/6.65 ((~(v194(constB99) | v198(constB99))) | v194(constB99) | v198(constB99)),
% 8.71/6.65 inference(tautology,[status(thm)],[])).
% 8.71/6.65 tff(27558,plain,
% 8.71/6.65 (~(v194(constB99) | v198(constB99))),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27557, 27556, 27469])).
% 8.71/6.65 tff(27559,plain,
% 8.71/6.65 ((~(v191(constB99) <=> (v194(constB99) | v198(constB99)))) | (~v191(constB99)) | (v194(constB99) | v198(constB99))),
% 8.71/6.65 inference(tautology,[status(thm)],[])).
% 8.71/6.65 tff(27560,plain,
% 8.71/6.65 (~v191(constB99)),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27559, 27558, 27396])).
% 8.71/6.65 tff(27561,plain,
% 8.71/6.65 ((~(v193(constB100) <=> v191(constB99))) | (~v193(constB100)) | v191(constB99)),
% 8.71/6.65 inference(tautology,[status(thm)],[])).
% 8.71/6.65 tff(27562,plain,
% 8.71/6.65 (~v193(constB100)),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27561, 27560, 27394])).
% 8.71/6.65 tff(27563,plain,
% 8.71/6.65 ((~(v157(constB100) <=> v193(constB100))) | (~v157(constB100)) | v193(constB100)),
% 8.71/6.65 inference(tautology,[status(thm)],[])).
% 8.71/6.65 tff(27564,plain,
% 8.71/6.65 (~v157(constB100)),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27563, 27562, 27390])).
% 8.71/6.65 tff(27565,plain,
% 8.71/6.65 (((~v157(constB100)) | (~v195(constB100))) | v157(constB100)),
% 8.71/6.65 inference(tautology,[status(thm)],[])).
% 8.71/6.65 tff(27566,plain,
% 8.71/6.65 ((~v157(constB100)) | (~v195(constB100))),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27565, 27564])).
% 8.71/6.65 tff(27567,plain,
% 8.71/6.65 ((~(v194(constB100) <=> (~((~v157(constB100)) | (~v195(constB100)))))) | (~v194(constB100)) | (~((~v157(constB100)) | (~v195(constB100))))),
% 8.71/6.65 inference(tautology,[status(thm)],[])).
% 8.71/6.65 tff(27568,plain,
% 8.71/6.65 (~v194(constB100)),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27567, 27566, 27388])).
% 8.71/6.65 tff(27569,plain,
% 8.71/6.65 ((~(v194(constB100) | v198(constB100))) | v194(constB100) | v198(constB100)),
% 8.71/6.65 inference(tautology,[status(thm)],[])).
% 8.71/6.65 tff(27570,plain,
% 8.71/6.65 (~(v194(constB100) | v198(constB100))),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27569, 27568, 27381])).
% 8.71/6.65 tff(27571,plain,
% 8.71/6.65 ((~(v191(constB100) <=> (v194(constB100) | v198(constB100)))) | (~v191(constB100)) | (v194(constB100) | v198(constB100))),
% 8.71/6.65 inference(tautology,[status(thm)],[])).
% 8.71/6.65 tff(27572,plain,
% 8.71/6.65 (~v191(constB100)),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27571, 27570, 27356])).
% 8.71/6.65 tff(27573,plain,
% 8.71/6.65 ((~(v193(constB101) <=> v191(constB100))) | (~v193(constB101)) | v191(constB100)),
% 8.71/6.65 inference(tautology,[status(thm)],[])).
% 8.71/6.65 tff(27574,plain,
% 8.71/6.65 (~v193(constB101)),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27573, 27572, 27354])).
% 8.71/6.65 tff(27575,plain,
% 8.71/6.65 ($false),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27574, 27350])).
% 8.71/6.65 tff(27576,plain,(~(constB101 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.71/6.65 tff(27577,assumption,(constB41 = VarCurr!0), introduced(assumption)).
% 8.71/6.65 tff(27578,plain,
% 8.71/6.65 (v193(constB41) <=> v193(VarCurr!0)),
% 8.71/6.65 inference(monotonicity,[status(thm)],[27577])).
% 8.71/6.65 tff(27579,plain,
% 8.71/6.65 (v193(VarCurr!0) <=> v193(constB41)),
% 8.71/6.65 inference(symmetry,[status(thm)],[27578])).
% 8.71/6.65 tff(27580,plain,
% 8.71/6.65 (v193(constB41)),
% 8.71/6.65 inference(modus_ponens,[status(thm)],[59, 27579])).
% 8.71/6.65 tff(27581,plain,
% 8.71/6.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB40, constB41)) | (v193(constB41) <=> v191(constB40)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB40, constB41)) | (v193(constB41) <=> v191(constB40)))),
% 8.71/6.65 inference(rewrite,[status(thm)],[])).
% 8.71/6.65 tff(27582,plain,
% 8.71/6.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB40, constB41)) | (v193(constB41) <=> v191(constB40)))),
% 8.71/6.65 inference(quant_inst,[status(thm)],[])).
% 8.71/6.65 tff(27583,plain,
% 8.71/6.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB40, constB41)) | (v193(constB41) <=> v191(constB40))),
% 8.71/6.65 inference(modus_ponens,[status(thm)],[27582, 27581])).
% 8.71/6.65 tff(27584,plain,
% 8.71/6.65 (v193(constB41) <=> v191(constB40)),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27583, 1862, 70])).
% 8.71/6.65 tff(27585,plain,
% 8.71/6.65 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB40) <=> (v194(constB40) | v198(constB40)))),
% 8.71/6.65 inference(quant_inst,[status(thm)],[])).
% 8.71/6.65 tff(27586,plain,
% 8.71/6.65 (v191(constB40) <=> (v194(constB40) | v198(constB40))),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27585, 84])).
% 8.71/6.65 tff(27587,plain,
% 8.71/6.65 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB40) <=> (~((~v199(constB40)) | (~v200(constB40)))))),
% 8.71/6.65 inference(quant_inst,[status(thm)],[])).
% 8.71/6.65 tff(27588,plain,
% 8.71/6.65 (v198(constB40) <=> (~((~v199(constB40)) | (~v200(constB40))))),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27587, 96])).
% 8.71/6.65 tff(27589,plain,
% 8.71/6.65 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB40) <=> (~((~v197(constB40)) | (~v201(constB40)))))),
% 8.71/6.65 inference(quant_inst,[status(thm)],[])).
% 8.71/6.65 tff(27590,plain,
% 8.71/6.65 (v200(constB40) <=> (~((~v197(constB40)) | (~v201(constB40))))),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27589, 108])).
% 8.71/6.65 tff(27591,plain,
% 8.71/6.65 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB40) <=> (~((~v39(constB40)) | (~v9(constB40)))))),
% 8.71/6.65 inference(quant_inst,[status(thm)],[])).
% 8.71/6.65 tff(27592,plain,
% 8.71/6.65 (v197(constB40) <=> (~((~v39(constB40)) | (~v9(constB40))))),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27591, 120])).
% 8.71/6.65 tff(27593,plain,
% 8.71/6.65 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB40)) <=> v1(constB40))),
% 8.71/6.65 inference(quant_inst,[status(thm)],[])).
% 8.71/6.65 tff(27594,plain,
% 8.71/6.65 ((~v39(constB40)) <=> v1(constB40)),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27593, 129])).
% 8.71/6.65 tff(27595,plain,
% 8.71/6.65 ((~((~v39(constB40)) <=> v1(constB40))) | (~v39(constB40)) | (~v1(constB40))),
% 8.71/6.65 inference(tautology,[status(thm)],[])).
% 8.71/6.65 tff(27596,plain,
% 8.71/6.65 ((~((~v39(constB40)) <=> v1(constB40))) | (~v39(constB40))),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27595, 6506])).
% 8.71/6.65 tff(27597,plain,
% 8.71/6.65 (~v39(constB40)),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27596, 27594])).
% 8.71/6.65 tff(27598,plain,
% 8.71/6.65 (((~v39(constB40)) | (~v9(constB40))) | v39(constB40)),
% 8.71/6.65 inference(tautology,[status(thm)],[])).
% 8.71/6.65 tff(27599,plain,
% 8.71/6.65 ((~v39(constB40)) | (~v9(constB40))),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27598, 27597])).
% 8.71/6.65 tff(27600,plain,
% 8.71/6.65 ((~(v197(constB40) <=> (~((~v39(constB40)) | (~v9(constB40)))))) | (~v197(constB40)) | (~((~v39(constB40)) | (~v9(constB40))))),
% 8.71/6.65 inference(tautology,[status(thm)],[])).
% 8.71/6.65 tff(27601,plain,
% 8.71/6.65 ((~(v197(constB40) <=> (~((~v39(constB40)) | (~v9(constB40)))))) | (~v197(constB40))),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27600, 27599])).
% 8.71/6.65 tff(27602,plain,
% 8.71/6.65 (~v197(constB40)),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27601, 27592])).
% 8.71/6.65 tff(27603,plain,
% 8.71/6.65 (((~v197(constB40)) | (~v201(constB40))) | v197(constB40)),
% 8.71/6.65 inference(tautology,[status(thm)],[])).
% 8.71/6.65 tff(27604,plain,
% 8.71/6.65 ((~v197(constB40)) | (~v201(constB40))),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27603, 27602])).
% 8.71/6.65 tff(27605,plain,
% 8.71/6.65 ((~(v200(constB40) <=> (~((~v197(constB40)) | (~v201(constB40)))))) | (~v200(constB40)) | (~((~v197(constB40)) | (~v201(constB40))))),
% 8.71/6.65 inference(tautology,[status(thm)],[])).
% 8.71/6.65 tff(27606,plain,
% 8.71/6.65 ((~(v200(constB40) <=> (~((~v197(constB40)) | (~v201(constB40)))))) | (~v200(constB40))),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27605, 27604])).
% 8.71/6.65 tff(27607,plain,
% 8.71/6.65 (~v200(constB40)),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27606, 27590])).
% 8.71/6.65 tff(27608,plain,
% 8.71/6.65 (((~v199(constB40)) | (~v200(constB40))) | v200(constB40)),
% 8.71/6.65 inference(tautology,[status(thm)],[])).
% 8.71/6.65 tff(27609,plain,
% 8.71/6.65 ((~v199(constB40)) | (~v200(constB40))),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27608, 27607])).
% 8.71/6.65 tff(27610,plain,
% 8.71/6.65 ((~(v198(constB40) <=> (~((~v199(constB40)) | (~v200(constB40)))))) | (~v198(constB40)) | (~((~v199(constB40)) | (~v200(constB40))))),
% 8.71/6.65 inference(tautology,[status(thm)],[])).
% 8.71/6.65 tff(27611,plain,
% 8.71/6.65 (~v198(constB40)),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27610, 27609, 27588])).
% 8.71/6.65 tff(27612,plain,
% 8.71/6.65 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB40) <=> (~((~v157(constB40)) | (~v195(constB40)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB40) <=> (~((~v157(constB40)) | (~v195(constB40))))))),
% 8.71/6.65 inference(rewrite,[status(thm)],[])).
% 8.71/6.65 tff(27613,plain,
% 8.71/6.65 ((v194(constB40) <=> (~((~v195(constB40)) | (~v157(constB40))))) <=> (v194(constB40) <=> (~((~v157(constB40)) | (~v195(constB40)))))),
% 8.71/6.65 inference(rewrite,[status(thm)],[])).
% 8.71/6.65 tff(27614,plain,
% 8.71/6.65 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB40) <=> (~((~v195(constB40)) | (~v157(constB40)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB40) <=> (~((~v157(constB40)) | (~v195(constB40))))))),
% 8.71/6.65 inference(monotonicity,[status(thm)],[27613])).
% 8.71/6.65 tff(27615,plain,
% 8.71/6.65 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB40) <=> (~((~v195(constB40)) | (~v157(constB40)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB40) <=> (~((~v157(constB40)) | (~v195(constB40))))))),
% 8.71/6.65 inference(transitivity,[status(thm)],[27614, 27612])).
% 8.71/6.65 tff(27616,plain,
% 8.71/6.65 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB40) <=> (~((~v195(constB40)) | (~v157(constB40)))))),
% 8.71/6.65 inference(quant_inst,[status(thm)],[])).
% 8.71/6.65 tff(27617,plain,
% 8.71/6.65 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB40) <=> (~((~v157(constB40)) | (~v195(constB40)))))),
% 8.71/6.65 inference(modus_ponens,[status(thm)],[27616, 27615])).
% 8.71/6.65 tff(27618,plain,
% 8.71/6.65 (v194(constB40) <=> (~((~v157(constB40)) | (~v195(constB40))))),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27617, 161])).
% 8.71/6.65 tff(27619,plain,
% 8.71/6.65 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB40) <=> v193(constB40))),
% 8.71/6.65 inference(quant_inst,[status(thm)],[])).
% 8.71/6.65 tff(27620,plain,
% 8.71/6.65 (v157(constB40) <=> v193(constB40)),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27619, 13])).
% 8.71/6.65 tff(27621,plain,
% 8.71/6.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB39, constB40)) | (v193(constB40) <=> v191(constB39)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB39, constB40)) | (v193(constB40) <=> v191(constB39)))),
% 8.71/6.65 inference(rewrite,[status(thm)],[])).
% 8.71/6.65 tff(27622,plain,
% 8.71/6.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB39, constB40)) | (v193(constB40) <=> v191(constB39)))),
% 8.71/6.65 inference(quant_inst,[status(thm)],[])).
% 8.71/6.65 tff(27623,plain,
% 8.71/6.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB39, constB40)) | (v193(constB40) <=> v191(constB39))),
% 8.71/6.65 inference(modus_ponens,[status(thm)],[27622, 27621])).
% 8.71/6.65 tff(27624,plain,
% 8.71/6.65 (v193(constB40) <=> v191(constB39)),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27623, 1898, 70])).
% 8.71/6.65 tff(27625,plain,
% 8.71/6.65 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB39) <=> (v194(constB39) | v198(constB39)))),
% 8.71/6.65 inference(quant_inst,[status(thm)],[])).
% 8.71/6.65 tff(27626,plain,
% 8.71/6.65 (v191(constB39) <=> (v194(constB39) | v198(constB39))),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27625, 84])).
% 8.71/6.65 tff(27627,plain,
% 8.71/6.65 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB39) <=> (~((~v157(constB39)) | (~v195(constB39)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB39) <=> (~((~v157(constB39)) | (~v195(constB39))))))),
% 8.71/6.65 inference(rewrite,[status(thm)],[])).
% 8.71/6.65 tff(27628,plain,
% 8.71/6.65 ((v194(constB39) <=> (~((~v195(constB39)) | (~v157(constB39))))) <=> (v194(constB39) <=> (~((~v157(constB39)) | (~v195(constB39)))))),
% 8.71/6.65 inference(rewrite,[status(thm)],[])).
% 8.71/6.65 tff(27629,plain,
% 8.71/6.65 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB39) <=> (~((~v195(constB39)) | (~v157(constB39)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB39) <=> (~((~v157(constB39)) | (~v195(constB39))))))),
% 8.71/6.65 inference(monotonicity,[status(thm)],[27628])).
% 8.71/6.65 tff(27630,plain,
% 8.71/6.65 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB39) <=> (~((~v195(constB39)) | (~v157(constB39)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB39) <=> (~((~v157(constB39)) | (~v195(constB39))))))),
% 8.71/6.65 inference(transitivity,[status(thm)],[27629, 27627])).
% 8.71/6.65 tff(27631,plain,
% 8.71/6.65 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB39) <=> (~((~v195(constB39)) | (~v157(constB39)))))),
% 8.71/6.65 inference(quant_inst,[status(thm)],[])).
% 8.71/6.65 tff(27632,plain,
% 8.71/6.65 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB39) <=> (~((~v157(constB39)) | (~v195(constB39)))))),
% 8.71/6.65 inference(modus_ponens,[status(thm)],[27631, 27630])).
% 8.71/6.65 tff(27633,plain,
% 8.71/6.65 (v194(constB39) <=> (~((~v157(constB39)) | (~v195(constB39))))),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27632, 161])).
% 8.71/6.65 tff(27634,plain,
% 8.71/6.65 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB39)) <=> v196(constB39))),
% 8.71/6.65 inference(quant_inst,[status(thm)],[])).
% 8.71/6.65 tff(27635,plain,
% 8.71/6.65 ((~v195(constB39)) <=> v196(constB39)),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27634, 193])).
% 8.71/6.65 tff(27636,plain,
% 8.71/6.65 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB39) <=> (v197(constB39) | v26(constB39)))),
% 8.71/6.65 inference(quant_inst,[status(thm)],[])).
% 8.71/6.65 tff(27637,plain,
% 8.71/6.65 (v196(constB39) <=> (v197(constB39) | v26(constB39))),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27636, 202])).
% 8.71/6.65 tff(27638,plain,
% 8.71/6.65 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB39) <=> (~((~v39(constB39)) | (~v9(constB39)))))),
% 8.71/6.65 inference(quant_inst,[status(thm)],[])).
% 8.71/6.65 tff(27639,plain,
% 8.71/6.65 (v197(constB39) <=> (~((~v39(constB39)) | (~v9(constB39))))),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27638, 120])).
% 8.71/6.65 tff(27640,plain,
% 8.71/6.65 (((~![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)))),
% 8.71/6.65 inference(rewrite,[status(thm)],[])).
% 8.71/6.65 tff(27641,plain,
% 8.71/6.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB39, constB40)) | (v13(constB40) <=> v9(constB39)))),
% 8.71/6.65 inference(quant_inst,[status(thm)],[])).
% 8.71/6.65 tff(27642,plain,
% 8.71/6.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB39, constB40)) | (v13(constB40) <=> v9(constB39))),
% 8.71/6.65 inference(modus_ponens,[status(thm)],[27641, 27640])).
% 8.71/6.65 tff(27643,plain,
% 8.71/6.65 (v13(constB40) <=> v9(constB39)),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27642, 1898, 216])).
% 8.71/6.65 tff(27644,plain,
% 8.71/6.65 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB40) <=> v13(constB40))),
% 8.71/6.65 inference(quant_inst,[status(thm)],[])).
% 8.71/6.65 tff(27645,plain,
% 8.71/6.65 (v6(constB40) <=> v13(constB40)),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27644, 230])).
% 8.71/6.65 tff(27646,plain,
% 8.71/6.65 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB40)) <=> v6(constB40))),
% 8.71/6.65 inference(quant_inst,[status(thm)],[])).
% 8.71/6.65 tff(27647,plain,
% 8.71/6.65 ((~v21(constB40)) <=> v6(constB40)),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27646, 239])).
% 8.71/6.65 tff(27648,plain,
% 8.71/6.65 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB40) <=> (v20(constB40) | v21(constB40)))),
% 8.71/6.65 inference(quant_inst,[status(thm)],[])).
% 8.71/6.65 tff(27649,plain,
% 8.71/6.65 (v19(constB40) <=> (v20(constB40) | v21(constB40))),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27648, 248])).
% 8.71/6.65 tff(27650,plain,
% 8.71/6.65 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB40) <=> (~((~v19(constB40)) | (~v22(constB40)))))),
% 8.71/6.65 inference(quant_inst,[status(thm)],[])).
% 8.71/6.65 tff(27651,plain,
% 8.71/6.65 (v18(constB40) <=> (~((~v19(constB40)) | (~v22(constB40))))),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27650, 260])).
% 8.71/6.65 tff(27652,plain,
% 8.71/6.65 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB40)) <=> v18(constB40))),
% 8.71/6.65 inference(quant_inst,[status(thm)],[])).
% 8.71/6.65 tff(27653,plain,
% 8.71/6.65 ((~v4(constB40)) <=> v18(constB40)),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27652, 269])).
% 8.71/6.65 tff(27654,plain,
% 8.71/6.65 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB40)),
% 8.71/6.65 inference(quant_inst,[status(thm)],[])).
% 8.71/6.65 tff(27655,plain,
% 8.71/6.65 (v4(constB40)),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27654, 278])).
% 8.71/6.65 tff(27656,plain,
% 8.71/6.65 ((~((~v4(constB40)) <=> v18(constB40))) | (~v4(constB40)) | (~v18(constB40))),
% 8.71/6.65 inference(tautology,[status(thm)],[])).
% 8.71/6.65 tff(27657,plain,
% 8.71/6.65 (~v18(constB40)),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27656, 27655, 27653])).
% 8.71/6.65 tff(27658,plain,
% 8.71/6.65 ((~(v18(constB40) <=> (~((~v19(constB40)) | (~v22(constB40)))))) | v18(constB40) | ((~v19(constB40)) | (~v22(constB40)))),
% 8.71/6.65 inference(tautology,[status(thm)],[])).
% 8.71/6.65 tff(27659,plain,
% 8.71/6.65 ((~v19(constB40)) | (~v22(constB40))),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27658, 27657, 27651])).
% 8.71/6.65 tff(27660,plain,
% 8.71/6.65 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB40) <=> (v1(constB40) | v6(constB40)))),
% 8.71/6.65 inference(quant_inst,[status(thm)],[])).
% 8.71/6.65 tff(27661,plain,
% 8.71/6.65 (v22(constB40) <=> (v1(constB40) | v6(constB40))),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27660, 291])).
% 8.71/6.65 tff(27662,plain,
% 8.71/6.65 ((v1(constB40) | v6(constB40)) | (~v1(constB40))),
% 8.71/6.65 inference(tautology,[status(thm)],[])).
% 8.71/6.65 tff(27663,plain,
% 8.71/6.65 (v1(constB40) | v6(constB40)),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27662, 6506])).
% 8.71/6.65 tff(27664,plain,
% 8.71/6.65 ((~(v22(constB40) <=> (v1(constB40) | v6(constB40)))) | v22(constB40) | (~(v1(constB40) | v6(constB40)))),
% 8.71/6.65 inference(tautology,[status(thm)],[])).
% 8.71/6.65 tff(27665,plain,
% 8.71/6.65 ((~(v22(constB40) <=> (v1(constB40) | v6(constB40)))) | v22(constB40)),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27664, 27663])).
% 8.71/6.65 tff(27666,plain,
% 8.71/6.65 (v22(constB40)),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27665, 27661])).
% 8.71/6.65 tff(27667,plain,
% 8.71/6.65 ((~((~v19(constB40)) | (~v22(constB40)))) | (~v19(constB40)) | (~v22(constB40))),
% 8.71/6.65 inference(tautology,[status(thm)],[])).
% 8.71/6.65 tff(27668,plain,
% 8.71/6.65 ((~((~v19(constB40)) | (~v22(constB40)))) | (~v19(constB40))),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27667, 27666])).
% 8.71/6.65 tff(27669,plain,
% 8.71/6.65 (~v19(constB40)),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27668, 27659])).
% 8.71/6.65 tff(27670,plain,
% 8.71/6.65 ((~(v19(constB40) <=> (v20(constB40) | v21(constB40)))) | v19(constB40) | (~(v20(constB40) | v21(constB40)))),
% 8.71/6.65 inference(tautology,[status(thm)],[])).
% 8.71/6.65 tff(27671,plain,
% 8.71/6.65 (~(v20(constB40) | v21(constB40))),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27670, 27669, 27649])).
% 8.71/6.65 tff(27672,plain,
% 8.71/6.65 ((v20(constB40) | v21(constB40)) | (~v21(constB40))),
% 8.71/6.65 inference(tautology,[status(thm)],[])).
% 8.71/6.65 tff(27673,plain,
% 8.71/6.65 (~v21(constB40)),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27672, 27671])).
% 8.71/6.65 tff(27674,plain,
% 8.71/6.65 ((~((~v21(constB40)) <=> v6(constB40))) | v21(constB40) | v6(constB40)),
% 8.71/6.65 inference(tautology,[status(thm)],[])).
% 8.71/6.65 tff(27675,plain,
% 8.71/6.65 (v6(constB40)),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27674, 27673, 27647])).
% 8.71/6.65 tff(27676,plain,
% 8.71/6.65 ((~(v6(constB40) <=> v13(constB40))) | (~v6(constB40)) | v13(constB40)),
% 8.71/6.65 inference(tautology,[status(thm)],[])).
% 8.71/6.65 tff(27677,plain,
% 8.71/6.65 (v13(constB40)),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27676, 27675, 27645])).
% 8.71/6.65 tff(27678,plain,
% 8.71/6.65 ((~(v13(constB40) <=> v9(constB39))) | (~v13(constB40)) | v9(constB39)),
% 8.71/6.65 inference(tautology,[status(thm)],[])).
% 8.71/6.65 tff(27679,plain,
% 8.71/6.65 (v9(constB39)),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27678, 27677, 27643])).
% 8.71/6.65 tff(27680,plain,
% 8.71/6.65 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB39)) <=> v1(constB39))),
% 8.71/6.65 inference(quant_inst,[status(thm)],[])).
% 8.71/6.65 tff(27681,plain,
% 8.71/6.65 ((~v39(constB39)) <=> v1(constB39)),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27680, 129])).
% 8.71/6.65 tff(27682,plain,
% 8.71/6.65 ((~((~v39(constB39)) <=> v1(constB39))) | v39(constB39) | v1(constB39)),
% 8.71/6.65 inference(tautology,[status(thm)],[])).
% 8.71/6.65 tff(27683,plain,
% 8.71/6.65 ((~((~v39(constB39)) <=> v1(constB39))) | v39(constB39)),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27682, 1942])).
% 8.71/6.65 tff(27684,plain,
% 8.71/6.65 (v39(constB39)),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27683, 27681])).
% 8.71/6.65 tff(27685,plain,
% 8.71/6.65 ((~((~v39(constB39)) | (~v9(constB39)))) | (~v39(constB39)) | (~v9(constB39))),
% 8.71/6.65 inference(tautology,[status(thm)],[])).
% 8.71/6.65 tff(27686,plain,
% 8.71/6.65 ((~((~v39(constB39)) | (~v9(constB39)))) | (~v9(constB39))),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27685, 27684])).
% 8.71/6.65 tff(27687,plain,
% 8.71/6.65 (~((~v39(constB39)) | (~v9(constB39)))),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27686, 27679])).
% 8.71/6.65 tff(27688,plain,
% 8.71/6.65 ((~(v197(constB39) <=> (~((~v39(constB39)) | (~v9(constB39)))))) | v197(constB39) | ((~v39(constB39)) | (~v9(constB39)))),
% 8.71/6.65 inference(tautology,[status(thm)],[])).
% 8.71/6.65 tff(27689,plain,
% 8.71/6.65 (v197(constB39)),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27688, 27687, 27639])).
% 8.71/6.65 tff(27690,plain,
% 8.71/6.65 ((v197(constB39) | v26(constB39)) | (~v197(constB39))),
% 8.71/6.65 inference(tautology,[status(thm)],[])).
% 8.71/6.65 tff(27691,plain,
% 8.71/6.65 (v197(constB39) | v26(constB39)),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27690, 27689])).
% 8.71/6.65 tff(27692,plain,
% 8.71/6.65 ((~(v196(constB39) <=> (v197(constB39) | v26(constB39)))) | v196(constB39) | (~(v197(constB39) | v26(constB39)))),
% 8.71/6.65 inference(tautology,[status(thm)],[])).
% 8.71/6.65 tff(27693,plain,
% 8.71/6.65 (v196(constB39)),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27692, 27691, 27637])).
% 8.71/6.65 tff(27694,plain,
% 8.71/6.65 ((~((~v195(constB39)) <=> v196(constB39))) | (~v195(constB39)) | (~v196(constB39))),
% 8.71/6.65 inference(tautology,[status(thm)],[])).
% 8.71/6.65 tff(27695,plain,
% 8.71/6.65 (~v195(constB39)),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27694, 27693, 27635])).
% 8.71/6.65 tff(27696,plain,
% 8.71/6.65 (((~v157(constB39)) | (~v195(constB39))) | v195(constB39)),
% 8.71/6.65 inference(tautology,[status(thm)],[])).
% 8.71/6.65 tff(27697,plain,
% 8.71/6.65 ((~v157(constB39)) | (~v195(constB39))),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27696, 27695])).
% 8.71/6.65 tff(27698,plain,
% 8.71/6.65 ((~(v194(constB39) <=> (~((~v157(constB39)) | (~v195(constB39)))))) | (~v194(constB39)) | (~((~v157(constB39)) | (~v195(constB39))))),
% 8.71/6.65 inference(tautology,[status(thm)],[])).
% 8.71/6.65 tff(27699,plain,
% 8.71/6.65 (~v194(constB39)),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27698, 27697, 27633])).
% 8.71/6.65 tff(27700,plain,
% 8.71/6.65 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB39) <=> (~((~v199(constB39)) | (~v200(constB39)))))),
% 8.71/6.65 inference(quant_inst,[status(thm)],[])).
% 8.71/6.65 tff(27701,plain,
% 8.71/6.65 (v198(constB39) <=> (~((~v199(constB39)) | (~v200(constB39))))),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27700, 96])).
% 8.71/6.65 tff(27702,plain,
% 8.71/6.65 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB39) <=> (~((~v197(constB39)) | (~v201(constB39)))))),
% 8.71/6.65 inference(quant_inst,[status(thm)],[])).
% 8.71/6.65 tff(27703,plain,
% 8.71/6.65 (v200(constB39) <=> (~((~v197(constB39)) | (~v201(constB39))))),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27702, 108])).
% 8.71/6.65 tff(27704,plain,
% 8.71/6.65 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB39) <=> (~((~v159(constB39)) | (~v161(constB39)))))),
% 8.71/6.65 inference(quant_inst,[status(thm)],[])).
% 8.71/6.65 tff(27705,plain,
% 8.71/6.65 (v201(constB39) <=> (~((~v159(constB39)) | (~v161(constB39))))),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27704, 348])).
% 8.71/6.65 tff(27706,plain,
% 8.71/6.65 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB39) <=> v163(constB39))),
% 8.71/6.65 inference(quant_inst,[status(thm)],[])).
% 8.71/6.65 tff(27707,plain,
% 8.71/6.65 (v161(constB39) <=> v163(constB39)),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27706, 357])).
% 8.71/6.65 tff(27708,plain,
% 8.71/6.65 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB39) <=> (v145(constB39) | v167(constB39)))),
% 8.71/6.65 inference(quant_inst,[status(thm)],[])).
% 8.71/6.65 tff(27709,plain,
% 8.71/6.65 (v166(constB39) <=> (v145(constB39) | v167(constB39))),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27708, 369])).
% 8.71/6.65 tff(27710,plain,
% 8.71/6.65 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB39) <=> (v142(constB39) | v168(constB39)))),
% 8.71/6.65 inference(quant_inst,[status(thm)],[])).
% 8.71/6.65 tff(27711,plain,
% 8.71/6.65 (v167(constB39) <=> (v142(constB39) | v168(constB39))),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27710, 381])).
% 8.71/6.65 tff(27712,plain,
% 8.71/6.65 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB39) <=> (v143(constB39) | v144(constB39)))),
% 8.71/6.65 inference(quant_inst,[status(thm)],[])).
% 8.71/6.65 tff(27713,plain,
% 8.71/6.65 (v142(constB39) <=> (v143(constB39) | v144(constB39))),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27712, 10332])).
% 8.71/6.65 tff(27714,plain,
% 8.71/6.65 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB39) <=> (~((~v88(constB39, bitIndex1)) | v88(constB39, bitIndex2) | v88(constB39, bitIndex0))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB39) <=> (~((~v88(constB39, bitIndex1)) | v88(constB39, bitIndex2) | v88(constB39, bitIndex0)))))),
% 8.71/6.65 inference(rewrite,[status(thm)],[])).
% 8.71/6.65 tff(27715,plain,
% 8.71/6.65 ((v143(constB39) <=> (~(v88(constB39, bitIndex0) | v88(constB39, bitIndex2) | (~v88(constB39, bitIndex1))))) <=> (v143(constB39) <=> (~((~v88(constB39, bitIndex1)) | v88(constB39, bitIndex2) | v88(constB39, bitIndex0))))),
% 8.71/6.65 inference(rewrite,[status(thm)],[])).
% 8.71/6.65 tff(27716,plain,
% 8.71/6.65 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB39) <=> (~(v88(constB39, bitIndex0) | v88(constB39, bitIndex2) | (~v88(constB39, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB39) <=> (~((~v88(constB39, bitIndex1)) | v88(constB39, bitIndex2) | v88(constB39, bitIndex0)))))),
% 8.71/6.65 inference(monotonicity,[status(thm)],[27715])).
% 8.71/6.65 tff(27717,plain,
% 8.71/6.65 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB39) <=> (~(v88(constB39, bitIndex0) | v88(constB39, bitIndex2) | (~v88(constB39, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB39) <=> (~((~v88(constB39, bitIndex1)) | v88(constB39, bitIndex2) | v88(constB39, bitIndex0)))))),
% 8.71/6.65 inference(transitivity,[status(thm)],[27716, 27714])).
% 8.71/6.65 tff(27718,plain,
% 8.71/6.65 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB39) <=> (~(v88(constB39, bitIndex0) | v88(constB39, bitIndex2) | (~v88(constB39, bitIndex1)))))),
% 8.71/6.65 inference(quant_inst,[status(thm)],[])).
% 8.71/6.65 tff(27719,plain,
% 8.71/6.65 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB39) <=> (~((~v88(constB39, bitIndex1)) | v88(constB39, bitIndex2) | v88(constB39, bitIndex0))))),
% 8.71/6.65 inference(modus_ponens,[status(thm)],[27718, 27717])).
% 8.71/6.65 tff(27720,plain,
% 8.71/6.65 (v143(constB39) <=> (~((~v88(constB39, bitIndex1)) | v88(constB39, bitIndex2) | v88(constB39, bitIndex0)))),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27719, 14770])).
% 8.71/6.65 tff(27721,plain,
% 8.71/6.65 ((~![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))) | (~(((~v88(constB39, bitIndex1)) <=> v90(constB39, bitIndex1)) | ((~v88(constB39, bitIndex2)) <=> v90(constB39, bitIndex2)) | ((~v88(constB39, bitIndex0)) <=> v90(constB39, bitIndex0))))),
% 8.71/6.65 inference(quant_inst,[status(thm)],[])).
% 8.71/6.65 tff(27722,plain,
% 8.71/6.65 (~(((~v88(constB39, bitIndex1)) <=> v90(constB39, bitIndex1)) | ((~v88(constB39, bitIndex2)) <=> v90(constB39, bitIndex2)) | ((~v88(constB39, bitIndex0)) <=> v90(constB39, bitIndex0)))),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27721, 428])).
% 8.71/6.65 tff(27723,plain,
% 8.71/6.65 ((((~v88(constB39, bitIndex1)) <=> v90(constB39, bitIndex1)) | ((~v88(constB39, bitIndex2)) <=> v90(constB39, bitIndex2)) | ((~v88(constB39, bitIndex0)) <=> v90(constB39, bitIndex0))) | (~((~v88(constB39, bitIndex2)) <=> v90(constB39, bitIndex2)))),
% 8.71/6.65 inference(tautology,[status(thm)],[])).
% 8.71/6.65 tff(27724,plain,
% 8.71/6.65 (~((~v88(constB39, bitIndex2)) <=> v90(constB39, bitIndex2))),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27723, 27722])).
% 8.71/6.65 tff(27725,plain,
% 8.71/6.65 (((~v88(constB39, bitIndex2)) <=> v90(constB39, bitIndex2)) | (~v88(constB39, bitIndex2)) | v90(constB39, bitIndex2)),
% 8.71/6.65 inference(tautology,[status(thm)],[])).
% 8.71/6.65 tff(27726,plain,
% 8.71/6.65 (~v88(constB39, bitIndex2)),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27725, 6428, 27724])).
% 8.71/6.65 tff(27727,plain,
% 8.71/6.65 ((((~v88(constB39, bitIndex1)) <=> v90(constB39, bitIndex1)) | ((~v88(constB39, bitIndex2)) <=> v90(constB39, bitIndex2)) | ((~v88(constB39, bitIndex0)) <=> v90(constB39, bitIndex0))) | (~((~v88(constB39, bitIndex0)) <=> v90(constB39, bitIndex0)))),
% 8.71/6.65 inference(tautology,[status(thm)],[])).
% 8.71/6.65 tff(27728,plain,
% 8.71/6.65 (~((~v88(constB39, bitIndex0)) <=> v90(constB39, bitIndex0))),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27727, 27722])).
% 8.71/6.65 tff(27729,plain,
% 8.71/6.65 (((~v88(constB39, bitIndex0)) <=> v90(constB39, bitIndex0)) | (~v88(constB39, bitIndex0)) | v90(constB39, bitIndex0)),
% 8.71/6.65 inference(tautology,[status(thm)],[])).
% 8.71/6.65 tff(27730,plain,
% 8.71/6.65 (~v88(constB39, bitIndex0)),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27729, 6446, 27728])).
% 8.71/6.65 tff(27731,plain,
% 8.71/6.65 ((((~v88(constB39, bitIndex1)) <=> v90(constB39, bitIndex1)) | ((~v88(constB39, bitIndex2)) <=> v90(constB39, bitIndex2)) | ((~v88(constB39, bitIndex0)) <=> v90(constB39, bitIndex0))) | (~((~v88(constB39, bitIndex1)) <=> v90(constB39, bitIndex1)))),
% 8.71/6.65 inference(tautology,[status(thm)],[])).
% 8.71/6.65 tff(27732,plain,
% 8.71/6.65 (~((~v88(constB39, bitIndex1)) <=> v90(constB39, bitIndex1))),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27731, 27722])).
% 8.71/6.65 tff(27733,plain,
% 8.71/6.65 (((~v88(constB39, bitIndex1)) <=> v90(constB39, bitIndex1)) | v88(constB39, bitIndex1) | (~v90(constB39, bitIndex1))),
% 8.71/6.65 inference(tautology,[status(thm)],[])).
% 8.71/6.65 tff(27734,plain,
% 8.71/6.65 (v88(constB39, bitIndex1)),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27733, 6464, 27732])).
% 8.71/6.65 tff(27735,plain,
% 8.71/6.65 ((~((~v88(constB39, bitIndex1)) | v88(constB39, bitIndex2) | v88(constB39, bitIndex0))) | (~v88(constB39, bitIndex1)) | v88(constB39, bitIndex2) | v88(constB39, bitIndex0)),
% 8.71/6.65 inference(tautology,[status(thm)],[])).
% 8.71/6.65 tff(27736,plain,
% 8.71/6.65 (~((~v88(constB39, bitIndex1)) | v88(constB39, bitIndex2) | v88(constB39, bitIndex0))),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27735, 27734, 27730, 27726])).
% 8.71/6.65 tff(27737,plain,
% 8.71/6.65 ((~(v143(constB39) <=> (~((~v88(constB39, bitIndex1)) | v88(constB39, bitIndex2) | v88(constB39, bitIndex0))))) | v143(constB39) | ((~v88(constB39, bitIndex1)) | v88(constB39, bitIndex2) | v88(constB39, bitIndex0))),
% 8.71/6.65 inference(tautology,[status(thm)],[])).
% 8.71/6.65 tff(27738,plain,
% 8.71/6.65 (v143(constB39)),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27737, 27736, 27720])).
% 8.71/6.65 tff(27739,plain,
% 8.71/6.65 ((v143(constB39) | v144(constB39)) | (~v143(constB39))),
% 8.71/6.65 inference(tautology,[status(thm)],[])).
% 8.71/6.65 tff(27740,plain,
% 8.71/6.65 (v143(constB39) | v144(constB39)),
% 8.71/6.65 inference(unit_resolution,[status(thm)],[27739, 27738])).
% 8.71/6.66 tff(27741,plain,
% 8.71/6.66 ((~(v142(constB39) <=> (v143(constB39) | v144(constB39)))) | v142(constB39) | (~(v143(constB39) | v144(constB39)))),
% 8.71/6.66 inference(tautology,[status(thm)],[])).
% 8.71/6.66 tff(27742,plain,
% 8.71/6.66 (v142(constB39)),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27741, 27740, 27713])).
% 8.71/6.66 tff(27743,plain,
% 8.71/6.66 ((v142(constB39) | v168(constB39)) | (~v142(constB39))),
% 8.71/6.66 inference(tautology,[status(thm)],[])).
% 8.71/6.66 tff(27744,plain,
% 8.71/6.66 (v142(constB39) | v168(constB39)),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27743, 27742])).
% 8.71/6.66 tff(27745,plain,
% 8.71/6.66 ((~(v167(constB39) <=> (v142(constB39) | v168(constB39)))) | v167(constB39) | (~(v142(constB39) | v168(constB39)))),
% 8.71/6.66 inference(tautology,[status(thm)],[])).
% 8.71/6.66 tff(27746,plain,
% 8.71/6.66 ((~(v167(constB39) <=> (v142(constB39) | v168(constB39)))) | v167(constB39)),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27745, 27744])).
% 8.71/6.66 tff(27747,plain,
% 8.71/6.66 (v167(constB39)),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27746, 27711])).
% 8.71/6.66 tff(27748,plain,
% 8.71/6.66 ((v145(constB39) | v167(constB39)) | (~v167(constB39))),
% 8.71/6.66 inference(tautology,[status(thm)],[])).
% 8.71/6.66 tff(27749,plain,
% 8.71/6.66 (v145(constB39) | v167(constB39)),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27748, 27747])).
% 8.71/6.66 tff(27750,plain,
% 8.71/6.66 ((~(v166(constB39) <=> (v145(constB39) | v167(constB39)))) | v166(constB39) | (~(v145(constB39) | v167(constB39)))),
% 8.71/6.66 inference(tautology,[status(thm)],[])).
% 8.71/6.66 tff(27751,plain,
% 8.71/6.66 (v166(constB39)),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27750, 27749, 27709])).
% 8.71/6.66 tff(27752,plain,
% 8.71/6.66 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB39)) | (v163(constB39) <=> v170(constB39)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB39)) | (v163(constB39) <=> v170(constB39)))),
% 8.71/6.66 inference(rewrite,[status(thm)],[])).
% 8.71/6.66 tff(27753,plain,
% 8.71/6.66 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB39)) | (v163(constB39) <=> v170(constB39)))),
% 8.71/6.66 inference(quant_inst,[status(thm)],[])).
% 8.71/6.66 tff(27754,plain,
% 8.71/6.66 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB39)) | (v163(constB39) <=> v170(constB39))),
% 8.71/6.66 inference(modus_ponens,[status(thm)],[27753, 27752])).
% 8.71/6.66 tff(27755,plain,
% 8.71/6.66 ((~v166(constB39)) | (v163(constB39) <=> v170(constB39))),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27754, 9851])).
% 8.71/6.66 tff(27756,plain,
% 8.71/6.66 (v163(constB39) <=> v170(constB39)),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27755, 27751])).
% 8.71/6.66 tff(27757,plain,
% 8.71/6.66 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB39) <=> (v142(constB39) | v150(constB39)))),
% 8.71/6.66 inference(quant_inst,[status(thm)],[])).
% 8.71/6.66 tff(27758,plain,
% 8.71/6.66 (v171(constB39) <=> (v142(constB39) | v150(constB39))),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27757, 9866])).
% 8.71/6.66 tff(27759,plain,
% 8.71/6.66 ((v142(constB39) | v150(constB39)) | (~v142(constB39))),
% 8.71/6.66 inference(tautology,[status(thm)],[])).
% 8.71/6.66 tff(27760,plain,
% 8.71/6.66 (v142(constB39) | v150(constB39)),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27759, 27742])).
% 8.71/6.66 tff(27761,plain,
% 8.71/6.66 ((~(v171(constB39) <=> (v142(constB39) | v150(constB39)))) | v171(constB39) | (~(v142(constB39) | v150(constB39)))),
% 8.71/6.66 inference(tautology,[status(thm)],[])).
% 8.71/6.66 tff(27762,plain,
% 8.71/6.66 ((~(v171(constB39) <=> (v142(constB39) | v150(constB39)))) | v171(constB39)),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27761, 27760])).
% 8.71/6.66 tff(27763,plain,
% 8.71/6.66 (v171(constB39)),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27762, 27758])).
% 8.71/6.66 tff(27764,plain,
% 8.71/6.66 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB39)) | (~v171(constB39)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB39)) | (~v171(constB39)))),
% 8.71/6.66 inference(rewrite,[status(thm)],[])).
% 8.71/6.66 tff(27765,plain,
% 8.71/6.66 (((~v171(constB39)) | (~v170(constB39))) <=> ((~v170(constB39)) | (~v171(constB39)))),
% 8.71/6.66 inference(rewrite,[status(thm)],[])).
% 8.71/6.66 tff(27766,plain,
% 8.71/6.66 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB39)) | (~v170(constB39)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB39)) | (~v171(constB39))))),
% 8.71/6.66 inference(monotonicity,[status(thm)],[27765])).
% 8.71/6.66 tff(27767,plain,
% 8.71/6.66 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB39)) | (~v170(constB39)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB39)) | (~v171(constB39)))),
% 8.71/6.66 inference(transitivity,[status(thm)],[27766, 27764])).
% 8.71/6.66 tff(27768,plain,
% 8.71/6.66 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB39)) | (~v170(constB39)))),
% 8.71/6.66 inference(quant_inst,[status(thm)],[])).
% 8.71/6.66 tff(27769,plain,
% 8.71/6.66 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB39)) | (~v171(constB39))),
% 8.71/6.66 inference(modus_ponens,[status(thm)],[27768, 27767])).
% 8.71/6.66 tff(27770,plain,
% 8.71/6.66 (~v170(constB39)),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27769, 9899, 27763])).
% 8.71/6.66 tff(27771,plain,
% 8.71/6.66 ((~(v163(constB39) <=> v170(constB39))) | (~v163(constB39)) | v170(constB39)),
% 8.71/6.66 inference(tautology,[status(thm)],[])).
% 8.71/6.66 tff(27772,plain,
% 8.71/6.66 (~v163(constB39)),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27771, 27770, 27756])).
% 8.71/6.66 tff(27773,plain,
% 8.71/6.66 ((~(v161(constB39) <=> v163(constB39))) | (~v161(constB39)) | v163(constB39)),
% 8.71/6.66 inference(tautology,[status(thm)],[])).
% 8.71/6.66 tff(27774,plain,
% 8.71/6.66 (~v161(constB39)),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27773, 27772, 27707])).
% 8.71/6.66 tff(27775,plain,
% 8.71/6.66 (((~v159(constB39)) | (~v161(constB39))) | v161(constB39)),
% 8.71/6.66 inference(tautology,[status(thm)],[])).
% 8.71/6.66 tff(27776,plain,
% 8.71/6.66 ((~v159(constB39)) | (~v161(constB39))),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27775, 27774])).
% 8.71/6.66 tff(27777,plain,
% 8.71/6.66 ((~(v201(constB39) <=> (~((~v159(constB39)) | (~v161(constB39)))))) | (~v201(constB39)) | (~((~v159(constB39)) | (~v161(constB39))))),
% 8.71/6.66 inference(tautology,[status(thm)],[])).
% 8.71/6.66 tff(27778,plain,
% 8.71/6.66 (~v201(constB39)),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27777, 27776, 27705])).
% 8.71/6.66 tff(27779,plain,
% 8.71/6.66 (((~v197(constB39)) | (~v201(constB39))) | v201(constB39)),
% 8.71/6.66 inference(tautology,[status(thm)],[])).
% 8.71/6.66 tff(27780,plain,
% 8.71/6.66 ((~v197(constB39)) | (~v201(constB39))),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27779, 27778])).
% 8.71/6.66 tff(27781,plain,
% 8.71/6.66 ((~(v200(constB39) <=> (~((~v197(constB39)) | (~v201(constB39)))))) | (~v200(constB39)) | (~((~v197(constB39)) | (~v201(constB39))))),
% 8.71/6.66 inference(tautology,[status(thm)],[])).
% 8.71/6.66 tff(27782,plain,
% 8.71/6.66 (~v200(constB39)),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27781, 27780, 27703])).
% 8.71/6.66 tff(27783,plain,
% 8.71/6.66 (((~v199(constB39)) | (~v200(constB39))) | v200(constB39)),
% 8.71/6.66 inference(tautology,[status(thm)],[])).
% 8.71/6.66 tff(27784,plain,
% 8.71/6.66 ((~v199(constB39)) | (~v200(constB39))),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27783, 27782])).
% 8.71/6.66 tff(27785,plain,
% 8.71/6.66 ((~(v198(constB39) <=> (~((~v199(constB39)) | (~v200(constB39)))))) | (~v198(constB39)) | (~((~v199(constB39)) | (~v200(constB39))))),
% 8.71/6.66 inference(tautology,[status(thm)],[])).
% 8.71/6.66 tff(27786,plain,
% 8.71/6.66 (~v198(constB39)),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27785, 27784, 27701])).
% 8.71/6.66 tff(27787,plain,
% 8.71/6.66 ((~(v194(constB39) | v198(constB39))) | v194(constB39) | v198(constB39)),
% 8.71/6.66 inference(tautology,[status(thm)],[])).
% 8.71/6.66 tff(27788,plain,
% 8.71/6.66 (~(v194(constB39) | v198(constB39))),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27787, 27786, 27699])).
% 8.71/6.66 tff(27789,plain,
% 8.71/6.66 ((~(v191(constB39) <=> (v194(constB39) | v198(constB39)))) | (~v191(constB39)) | (v194(constB39) | v198(constB39))),
% 8.71/6.66 inference(tautology,[status(thm)],[])).
% 8.71/6.66 tff(27790,plain,
% 8.71/6.66 (~v191(constB39)),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27789, 27788, 27626])).
% 8.71/6.66 tff(27791,plain,
% 8.71/6.66 ((~(v193(constB40) <=> v191(constB39))) | (~v193(constB40)) | v191(constB39)),
% 8.71/6.66 inference(tautology,[status(thm)],[])).
% 8.71/6.66 tff(27792,plain,
% 8.71/6.66 (~v193(constB40)),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27791, 27790, 27624])).
% 8.71/6.66 tff(27793,plain,
% 8.71/6.66 ((~(v157(constB40) <=> v193(constB40))) | (~v157(constB40)) | v193(constB40)),
% 8.71/6.66 inference(tautology,[status(thm)],[])).
% 8.71/6.66 tff(27794,plain,
% 8.71/6.66 (~v157(constB40)),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27793, 27792, 27620])).
% 8.71/6.66 tff(27795,plain,
% 8.71/6.66 (((~v157(constB40)) | (~v195(constB40))) | v157(constB40)),
% 8.71/6.66 inference(tautology,[status(thm)],[])).
% 8.71/6.66 tff(27796,plain,
% 8.71/6.66 ((~v157(constB40)) | (~v195(constB40))),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27795, 27794])).
% 8.71/6.66 tff(27797,plain,
% 8.71/6.66 ((~(v194(constB40) <=> (~((~v157(constB40)) | (~v195(constB40)))))) | (~v194(constB40)) | (~((~v157(constB40)) | (~v195(constB40))))),
% 8.71/6.66 inference(tautology,[status(thm)],[])).
% 8.71/6.66 tff(27798,plain,
% 8.71/6.66 (~v194(constB40)),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27797, 27796, 27618])).
% 8.71/6.66 tff(27799,plain,
% 8.71/6.66 ((~(v194(constB40) | v198(constB40))) | v194(constB40) | v198(constB40)),
% 8.71/6.66 inference(tautology,[status(thm)],[])).
% 8.71/6.66 tff(27800,plain,
% 8.71/6.66 (~(v194(constB40) | v198(constB40))),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27799, 27798, 27611])).
% 8.71/6.66 tff(27801,plain,
% 8.71/6.66 ((~(v191(constB40) <=> (v194(constB40) | v198(constB40)))) | (~v191(constB40)) | (v194(constB40) | v198(constB40))),
% 8.71/6.66 inference(tautology,[status(thm)],[])).
% 8.71/6.66 tff(27802,plain,
% 8.71/6.66 (~v191(constB40)),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27801, 27800, 27586])).
% 8.71/6.66 tff(27803,plain,
% 8.71/6.66 ((~(v193(constB41) <=> v191(constB40))) | (~v193(constB41)) | v191(constB40)),
% 8.71/6.66 inference(tautology,[status(thm)],[])).
% 8.71/6.66 tff(27804,plain,
% 8.71/6.66 (~v193(constB41)),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27803, 27802, 27584])).
% 8.71/6.66 tff(27805,plain,
% 8.71/6.66 ($false),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27804, 27580])).
% 8.71/6.66 tff(27806,plain,(~(constB41 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.71/6.66 tff(27807,assumption,(constB133 = VarCurr!0), introduced(assumption)).
% 8.71/6.66 tff(27808,plain,
% 8.71/6.66 (v193(constB133) <=> v193(VarCurr!0)),
% 8.71/6.66 inference(monotonicity,[status(thm)],[27807])).
% 8.71/6.66 tff(27809,plain,
% 8.71/6.66 (v193(VarCurr!0) <=> v193(constB133)),
% 8.71/6.66 inference(symmetry,[status(thm)],[27808])).
% 8.71/6.66 tff(27810,plain,
% 8.71/6.66 (v193(constB133)),
% 8.71/6.66 inference(modus_ponens,[status(thm)],[59, 27809])).
% 8.71/6.66 tff(27811,plain,
% 8.71/6.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB132, constB133)) | (v193(constB133) <=> v191(constB132)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB132, constB133)) | (v193(constB133) <=> v191(constB132)))),
% 8.71/6.66 inference(rewrite,[status(thm)],[])).
% 8.71/6.66 tff(27812,plain,
% 8.71/6.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB132, constB133)) | (v193(constB133) <=> v191(constB132)))),
% 8.71/6.66 inference(quant_inst,[status(thm)],[])).
% 8.71/6.66 tff(27813,plain,
% 8.71/6.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB132, constB133)) | (v193(constB133) <=> v191(constB132))),
% 8.71/6.66 inference(modus_ponens,[status(thm)],[27812, 27811])).
% 8.71/6.66 tff(27814,plain,
% 8.71/6.66 (v193(constB133) <=> v191(constB132)),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27813, 16987, 70])).
% 8.71/6.66 tff(27815,plain,
% 8.71/6.66 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB132) <=> (v194(constB132) | v198(constB132)))),
% 8.71/6.66 inference(quant_inst,[status(thm)],[])).
% 8.71/6.66 tff(27816,plain,
% 8.71/6.66 (v191(constB132) <=> (v194(constB132) | v198(constB132))),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27815, 84])).
% 8.71/6.66 tff(27817,plain,
% 8.71/6.66 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB132) <=> (~((~v199(constB132)) | (~v200(constB132)))))),
% 8.71/6.66 inference(quant_inst,[status(thm)],[])).
% 8.71/6.66 tff(27818,plain,
% 8.71/6.66 (v198(constB132) <=> (~((~v199(constB132)) | (~v200(constB132))))),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27817, 96])).
% 8.71/6.66 tff(27819,plain,
% 8.71/6.66 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB132) <=> (~((~v197(constB132)) | (~v201(constB132)))))),
% 8.71/6.66 inference(quant_inst,[status(thm)],[])).
% 8.71/6.66 tff(27820,plain,
% 8.71/6.66 (v200(constB132) <=> (~((~v197(constB132)) | (~v201(constB132))))),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27819, 108])).
% 8.71/6.66 tff(27821,plain,
% 8.71/6.66 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB132) <=> (~((~v39(constB132)) | (~v9(constB132)))))),
% 8.71/6.66 inference(quant_inst,[status(thm)],[])).
% 8.71/6.66 tff(27822,plain,
% 8.71/6.66 (v197(constB132) <=> (~((~v39(constB132)) | (~v9(constB132))))),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27821, 120])).
% 8.71/6.66 tff(27823,plain,
% 8.71/6.66 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB132)) <=> v1(constB132))),
% 8.71/6.66 inference(quant_inst,[status(thm)],[])).
% 8.71/6.66 tff(27824,plain,
% 8.71/6.66 ((~v39(constB132)) <=> v1(constB132)),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27823, 129])).
% 8.71/6.66 tff(27825,plain,
% 8.71/6.66 ((~((~v39(constB132)) <=> v1(constB132))) | (~v39(constB132)) | (~v1(constB132))),
% 8.71/6.66 inference(tautology,[status(thm)],[])).
% 8.71/6.66 tff(27826,plain,
% 8.71/6.66 ((~((~v39(constB132)) <=> v1(constB132))) | (~v39(constB132))),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27825, 18901])).
% 8.71/6.66 tff(27827,plain,
% 8.71/6.66 (~v39(constB132)),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27826, 27824])).
% 8.71/6.66 tff(27828,plain,
% 8.71/6.66 (((~v39(constB132)) | (~v9(constB132))) | v39(constB132)),
% 8.71/6.66 inference(tautology,[status(thm)],[])).
% 8.71/6.66 tff(27829,plain,
% 8.71/6.66 ((~v39(constB132)) | (~v9(constB132))),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27828, 27827])).
% 8.71/6.66 tff(27830,plain,
% 8.71/6.66 ((~(v197(constB132) <=> (~((~v39(constB132)) | (~v9(constB132)))))) | (~v197(constB132)) | (~((~v39(constB132)) | (~v9(constB132))))),
% 8.71/6.66 inference(tautology,[status(thm)],[])).
% 8.71/6.66 tff(27831,plain,
% 8.71/6.66 ((~(v197(constB132) <=> (~((~v39(constB132)) | (~v9(constB132)))))) | (~v197(constB132))),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27830, 27829])).
% 8.71/6.66 tff(27832,plain,
% 8.71/6.66 (~v197(constB132)),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27831, 27822])).
% 8.71/6.66 tff(27833,plain,
% 8.71/6.66 (((~v197(constB132)) | (~v201(constB132))) | v197(constB132)),
% 8.71/6.66 inference(tautology,[status(thm)],[])).
% 8.71/6.66 tff(27834,plain,
% 8.71/6.66 ((~v197(constB132)) | (~v201(constB132))),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27833, 27832])).
% 8.71/6.66 tff(27835,plain,
% 8.71/6.66 ((~(v200(constB132) <=> (~((~v197(constB132)) | (~v201(constB132)))))) | (~v200(constB132)) | (~((~v197(constB132)) | (~v201(constB132))))),
% 8.71/6.66 inference(tautology,[status(thm)],[])).
% 8.71/6.66 tff(27836,plain,
% 8.71/6.66 ((~(v200(constB132) <=> (~((~v197(constB132)) | (~v201(constB132)))))) | (~v200(constB132))),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27835, 27834])).
% 8.71/6.66 tff(27837,plain,
% 8.71/6.66 (~v200(constB132)),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27836, 27820])).
% 8.71/6.66 tff(27838,plain,
% 8.71/6.66 (((~v199(constB132)) | (~v200(constB132))) | v200(constB132)),
% 8.71/6.66 inference(tautology,[status(thm)],[])).
% 8.71/6.66 tff(27839,plain,
% 8.71/6.66 ((~v199(constB132)) | (~v200(constB132))),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27838, 27837])).
% 8.71/6.66 tff(27840,plain,
% 8.71/6.66 ((~(v198(constB132) <=> (~((~v199(constB132)) | (~v200(constB132)))))) | (~v198(constB132)) | (~((~v199(constB132)) | (~v200(constB132))))),
% 8.71/6.66 inference(tautology,[status(thm)],[])).
% 8.71/6.66 tff(27841,plain,
% 8.71/6.66 (~v198(constB132)),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27840, 27839, 27818])).
% 8.71/6.66 tff(27842,plain,
% 8.71/6.66 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB132) <=> (~((~v157(constB132)) | (~v195(constB132)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB132) <=> (~((~v157(constB132)) | (~v195(constB132))))))),
% 8.71/6.66 inference(rewrite,[status(thm)],[])).
% 8.71/6.66 tff(27843,plain,
% 8.71/6.66 ((v194(constB132) <=> (~((~v195(constB132)) | (~v157(constB132))))) <=> (v194(constB132) <=> (~((~v157(constB132)) | (~v195(constB132)))))),
% 8.71/6.66 inference(rewrite,[status(thm)],[])).
% 8.71/6.66 tff(27844,plain,
% 8.71/6.66 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB132) <=> (~((~v195(constB132)) | (~v157(constB132)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB132) <=> (~((~v157(constB132)) | (~v195(constB132))))))),
% 8.71/6.66 inference(monotonicity,[status(thm)],[27843])).
% 8.71/6.66 tff(27845,plain,
% 8.71/6.66 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB132) <=> (~((~v195(constB132)) | (~v157(constB132)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB132) <=> (~((~v157(constB132)) | (~v195(constB132))))))),
% 8.71/6.66 inference(transitivity,[status(thm)],[27844, 27842])).
% 8.71/6.66 tff(27846,plain,
% 8.71/6.66 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB132) <=> (~((~v195(constB132)) | (~v157(constB132)))))),
% 8.71/6.66 inference(quant_inst,[status(thm)],[])).
% 8.71/6.66 tff(27847,plain,
% 8.71/6.66 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB132) <=> (~((~v157(constB132)) | (~v195(constB132)))))),
% 8.71/6.66 inference(modus_ponens,[status(thm)],[27846, 27845])).
% 8.71/6.66 tff(27848,plain,
% 8.71/6.66 (v194(constB132) <=> (~((~v157(constB132)) | (~v195(constB132))))),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27847, 161])).
% 8.71/6.66 tff(27849,plain,
% 8.71/6.66 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB132) <=> v193(constB132))),
% 8.71/6.66 inference(quant_inst,[status(thm)],[])).
% 8.71/6.66 tff(27850,plain,
% 8.71/6.66 (v157(constB132) <=> v193(constB132)),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27849, 13])).
% 8.71/6.66 tff(27851,plain,
% 8.71/6.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB131, constB132)) | (v193(constB132) <=> v191(constB131)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB131, constB132)) | (v193(constB132) <=> v191(constB131)))),
% 8.71/6.66 inference(rewrite,[status(thm)],[])).
% 8.71/6.66 tff(27852,plain,
% 8.71/6.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB131, constB132)) | (v193(constB132) <=> v191(constB131)))),
% 8.71/6.66 inference(quant_inst,[status(thm)],[])).
% 8.71/6.66 tff(27853,plain,
% 8.71/6.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB131, constB132)) | (v193(constB132) <=> v191(constB131))),
% 8.71/6.66 inference(modus_ponens,[status(thm)],[27852, 27851])).
% 8.71/6.66 tff(27854,plain,
% 8.71/6.66 (v193(constB132) <=> v191(constB131)),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27853, 17023, 70])).
% 8.71/6.66 tff(27855,plain,
% 8.71/6.66 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB131) <=> (v194(constB131) | v198(constB131)))),
% 8.71/6.66 inference(quant_inst,[status(thm)],[])).
% 8.71/6.66 tff(27856,plain,
% 8.71/6.66 (v191(constB131) <=> (v194(constB131) | v198(constB131))),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27855, 84])).
% 8.71/6.66 tff(27857,plain,
% 8.71/6.66 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB131) <=> (~((~v157(constB131)) | (~v195(constB131)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB131) <=> (~((~v157(constB131)) | (~v195(constB131))))))),
% 8.71/6.66 inference(rewrite,[status(thm)],[])).
% 8.71/6.66 tff(27858,plain,
% 8.71/6.66 ((v194(constB131) <=> (~((~v195(constB131)) | (~v157(constB131))))) <=> (v194(constB131) <=> (~((~v157(constB131)) | (~v195(constB131)))))),
% 8.71/6.66 inference(rewrite,[status(thm)],[])).
% 8.71/6.66 tff(27859,plain,
% 8.71/6.66 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB131) <=> (~((~v195(constB131)) | (~v157(constB131)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB131) <=> (~((~v157(constB131)) | (~v195(constB131))))))),
% 8.71/6.66 inference(monotonicity,[status(thm)],[27858])).
% 8.71/6.66 tff(27860,plain,
% 8.71/6.66 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB131) <=> (~((~v195(constB131)) | (~v157(constB131)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB131) <=> (~((~v157(constB131)) | (~v195(constB131))))))),
% 8.71/6.66 inference(transitivity,[status(thm)],[27859, 27857])).
% 8.71/6.66 tff(27861,plain,
% 8.71/6.66 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB131) <=> (~((~v195(constB131)) | (~v157(constB131)))))),
% 8.71/6.66 inference(quant_inst,[status(thm)],[])).
% 8.71/6.66 tff(27862,plain,
% 8.71/6.66 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB131) <=> (~((~v157(constB131)) | (~v195(constB131)))))),
% 8.71/6.66 inference(modus_ponens,[status(thm)],[27861, 27860])).
% 8.71/6.66 tff(27863,plain,
% 8.71/6.66 (v194(constB131) <=> (~((~v157(constB131)) | (~v195(constB131))))),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27862, 161])).
% 8.71/6.66 tff(27864,plain,
% 8.71/6.66 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB131)) <=> v196(constB131))),
% 8.71/6.66 inference(quant_inst,[status(thm)],[])).
% 8.71/6.66 tff(27865,plain,
% 8.71/6.66 ((~v195(constB131)) <=> v196(constB131)),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27864, 193])).
% 8.71/6.66 tff(27866,plain,
% 8.71/6.66 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB131) <=> (v197(constB131) | v26(constB131)))),
% 8.71/6.66 inference(quant_inst,[status(thm)],[])).
% 8.71/6.66 tff(27867,plain,
% 8.71/6.66 (v196(constB131) <=> (v197(constB131) | v26(constB131))),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27866, 202])).
% 8.71/6.66 tff(27868,plain,
% 8.71/6.66 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB131) <=> (~((~v39(constB131)) | (~v9(constB131)))))),
% 8.71/6.66 inference(quant_inst,[status(thm)],[])).
% 8.71/6.66 tff(27869,plain,
% 8.71/6.66 (v197(constB131) <=> (~((~v39(constB131)) | (~v9(constB131))))),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27868, 120])).
% 8.71/6.66 tff(27870,plain,
% 8.71/6.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB131, constB132)) | (v13(constB132) <=> v9(constB131)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB131, constB132)) | (v13(constB132) <=> v9(constB131)))),
% 8.71/6.66 inference(rewrite,[status(thm)],[])).
% 8.71/6.66 tff(27871,plain,
% 8.71/6.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB131, constB132)) | (v13(constB132) <=> v9(constB131)))),
% 8.71/6.66 inference(quant_inst,[status(thm)],[])).
% 8.71/6.66 tff(27872,plain,
% 8.71/6.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB131, constB132)) | (v13(constB132) <=> v9(constB131))),
% 8.71/6.66 inference(modus_ponens,[status(thm)],[27871, 27870])).
% 8.71/6.66 tff(27873,plain,
% 8.71/6.66 (v13(constB132) <=> v9(constB131)),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27872, 17023, 216])).
% 8.71/6.66 tff(27874,plain,
% 8.71/6.66 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB132) <=> v13(constB132))),
% 8.71/6.66 inference(quant_inst,[status(thm)],[])).
% 8.71/6.66 tff(27875,plain,
% 8.71/6.66 (v6(constB132) <=> v13(constB132)),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27874, 230])).
% 8.71/6.66 tff(27876,plain,
% 8.71/6.66 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB132)) <=> v6(constB132))),
% 8.71/6.66 inference(quant_inst,[status(thm)],[])).
% 8.71/6.66 tff(27877,plain,
% 8.71/6.66 ((~v21(constB132)) <=> v6(constB132)),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27876, 239])).
% 8.71/6.66 tff(27878,plain,
% 8.71/6.66 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB132) <=> (v20(constB132) | v21(constB132)))),
% 8.71/6.66 inference(quant_inst,[status(thm)],[])).
% 8.71/6.66 tff(27879,plain,
% 8.71/6.66 (v19(constB132) <=> (v20(constB132) | v21(constB132))),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27878, 248])).
% 8.71/6.66 tff(27880,plain,
% 8.71/6.66 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB132) <=> (~((~v19(constB132)) | (~v22(constB132)))))),
% 8.71/6.66 inference(quant_inst,[status(thm)],[])).
% 8.71/6.66 tff(27881,plain,
% 8.71/6.66 (v18(constB132) <=> (~((~v19(constB132)) | (~v22(constB132))))),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27880, 260])).
% 8.71/6.66 tff(27882,plain,
% 8.71/6.66 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB132)) <=> v18(constB132))),
% 8.71/6.66 inference(quant_inst,[status(thm)],[])).
% 8.71/6.66 tff(27883,plain,
% 8.71/6.66 ((~v4(constB132)) <=> v18(constB132)),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27882, 269])).
% 8.71/6.66 tff(27884,plain,
% 8.71/6.66 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB132)),
% 8.71/6.66 inference(quant_inst,[status(thm)],[])).
% 8.71/6.66 tff(27885,plain,
% 8.71/6.66 (v4(constB132)),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27884, 278])).
% 8.71/6.66 tff(27886,plain,
% 8.71/6.66 ((~((~v4(constB132)) <=> v18(constB132))) | (~v4(constB132)) | (~v18(constB132))),
% 8.71/6.66 inference(tautology,[status(thm)],[])).
% 8.71/6.66 tff(27887,plain,
% 8.71/6.66 (~v18(constB132)),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27886, 27885, 27883])).
% 8.71/6.66 tff(27888,plain,
% 8.71/6.66 ((~(v18(constB132) <=> (~((~v19(constB132)) | (~v22(constB132)))))) | v18(constB132) | ((~v19(constB132)) | (~v22(constB132)))),
% 8.71/6.66 inference(tautology,[status(thm)],[])).
% 8.71/6.66 tff(27889,plain,
% 8.71/6.66 ((~v19(constB132)) | (~v22(constB132))),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27888, 27887, 27881])).
% 8.71/6.66 tff(27890,plain,
% 8.71/6.66 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB132) <=> (v1(constB132) | v6(constB132)))),
% 8.71/6.66 inference(quant_inst,[status(thm)],[])).
% 8.71/6.66 tff(27891,plain,
% 8.71/6.66 (v22(constB132) <=> (v1(constB132) | v6(constB132))),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27890, 291])).
% 8.71/6.66 tff(27892,plain,
% 8.71/6.66 ((v1(constB132) | v6(constB132)) | (~v1(constB132))),
% 8.71/6.66 inference(tautology,[status(thm)],[])).
% 8.71/6.66 tff(27893,plain,
% 8.71/6.66 (v1(constB132) | v6(constB132)),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27892, 18901])).
% 8.71/6.66 tff(27894,plain,
% 8.71/6.66 ((~(v22(constB132) <=> (v1(constB132) | v6(constB132)))) | v22(constB132) | (~(v1(constB132) | v6(constB132)))),
% 8.71/6.66 inference(tautology,[status(thm)],[])).
% 8.71/6.66 tff(27895,plain,
% 8.71/6.66 ((~(v22(constB132) <=> (v1(constB132) | v6(constB132)))) | v22(constB132)),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27894, 27893])).
% 8.71/6.66 tff(27896,plain,
% 8.71/6.66 (v22(constB132)),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27895, 27891])).
% 8.71/6.66 tff(27897,plain,
% 8.71/6.66 ((~((~v19(constB132)) | (~v22(constB132)))) | (~v19(constB132)) | (~v22(constB132))),
% 8.71/6.66 inference(tautology,[status(thm)],[])).
% 8.71/6.66 tff(27898,plain,
% 8.71/6.66 ((~((~v19(constB132)) | (~v22(constB132)))) | (~v19(constB132))),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27897, 27896])).
% 8.71/6.66 tff(27899,plain,
% 8.71/6.66 (~v19(constB132)),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27898, 27889])).
% 8.71/6.66 tff(27900,plain,
% 8.71/6.66 ((~(v19(constB132) <=> (v20(constB132) | v21(constB132)))) | v19(constB132) | (~(v20(constB132) | v21(constB132)))),
% 8.71/6.66 inference(tautology,[status(thm)],[])).
% 8.71/6.66 tff(27901,plain,
% 8.71/6.66 (~(v20(constB132) | v21(constB132))),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27900, 27899, 27879])).
% 8.71/6.66 tff(27902,plain,
% 8.71/6.66 ((v20(constB132) | v21(constB132)) | (~v21(constB132))),
% 8.71/6.66 inference(tautology,[status(thm)],[])).
% 8.71/6.66 tff(27903,plain,
% 8.71/6.66 (~v21(constB132)),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27902, 27901])).
% 8.71/6.66 tff(27904,plain,
% 8.71/6.66 ((~((~v21(constB132)) <=> v6(constB132))) | v21(constB132) | v6(constB132)),
% 8.71/6.66 inference(tautology,[status(thm)],[])).
% 8.71/6.66 tff(27905,plain,
% 8.71/6.66 (v6(constB132)),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27904, 27903, 27877])).
% 8.71/6.66 tff(27906,plain,
% 8.71/6.66 ((~(v6(constB132) <=> v13(constB132))) | (~v6(constB132)) | v13(constB132)),
% 8.71/6.66 inference(tautology,[status(thm)],[])).
% 8.71/6.66 tff(27907,plain,
% 8.71/6.66 (v13(constB132)),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27906, 27905, 27875])).
% 8.71/6.66 tff(27908,plain,
% 8.71/6.66 ((~(v13(constB132) <=> v9(constB131))) | (~v13(constB132)) | v9(constB131)),
% 8.71/6.66 inference(tautology,[status(thm)],[])).
% 8.71/6.66 tff(27909,plain,
% 8.71/6.66 (v9(constB131)),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27908, 27907, 27873])).
% 8.71/6.66 tff(27910,plain,
% 8.71/6.66 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB131)) <=> v1(constB131))),
% 8.71/6.66 inference(quant_inst,[status(thm)],[])).
% 8.71/6.66 tff(27911,plain,
% 8.71/6.66 ((~v39(constB131)) <=> v1(constB131)),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27910, 129])).
% 8.71/6.66 tff(27912,plain,
% 8.71/6.66 ((~((~v39(constB131)) <=> v1(constB131))) | v39(constB131) | v1(constB131)),
% 8.71/6.66 inference(tautology,[status(thm)],[])).
% 8.71/6.66 tff(27913,plain,
% 8.71/6.66 ((~((~v39(constB131)) <=> v1(constB131))) | v39(constB131)),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27912, 17067])).
% 8.71/6.66 tff(27914,plain,
% 8.71/6.66 (v39(constB131)),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27913, 27911])).
% 8.71/6.66 tff(27915,plain,
% 8.71/6.66 ((~((~v39(constB131)) | (~v9(constB131)))) | (~v39(constB131)) | (~v9(constB131))),
% 8.71/6.66 inference(tautology,[status(thm)],[])).
% 8.71/6.66 tff(27916,plain,
% 8.71/6.66 ((~((~v39(constB131)) | (~v9(constB131)))) | (~v9(constB131))),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27915, 27914])).
% 8.71/6.66 tff(27917,plain,
% 8.71/6.66 (~((~v39(constB131)) | (~v9(constB131)))),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27916, 27909])).
% 8.71/6.66 tff(27918,plain,
% 8.71/6.66 ((~(v197(constB131) <=> (~((~v39(constB131)) | (~v9(constB131)))))) | v197(constB131) | ((~v39(constB131)) | (~v9(constB131)))),
% 8.71/6.66 inference(tautology,[status(thm)],[])).
% 8.71/6.66 tff(27919,plain,
% 8.71/6.66 (v197(constB131)),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27918, 27917, 27869])).
% 8.71/6.66 tff(27920,plain,
% 8.71/6.66 ((v197(constB131) | v26(constB131)) | (~v197(constB131))),
% 8.71/6.66 inference(tautology,[status(thm)],[])).
% 8.71/6.66 tff(27921,plain,
% 8.71/6.66 (v197(constB131) | v26(constB131)),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27920, 27919])).
% 8.71/6.66 tff(27922,plain,
% 8.71/6.66 ((~(v196(constB131) <=> (v197(constB131) | v26(constB131)))) | v196(constB131) | (~(v197(constB131) | v26(constB131)))),
% 8.71/6.66 inference(tautology,[status(thm)],[])).
% 8.71/6.66 tff(27923,plain,
% 8.71/6.66 (v196(constB131)),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27922, 27921, 27867])).
% 8.71/6.66 tff(27924,plain,
% 8.71/6.66 ((~((~v195(constB131)) <=> v196(constB131))) | (~v195(constB131)) | (~v196(constB131))),
% 8.71/6.66 inference(tautology,[status(thm)],[])).
% 8.71/6.66 tff(27925,plain,
% 8.71/6.66 (~v195(constB131)),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27924, 27923, 27865])).
% 8.71/6.66 tff(27926,plain,
% 8.71/6.66 (((~v157(constB131)) | (~v195(constB131))) | v195(constB131)),
% 8.71/6.66 inference(tautology,[status(thm)],[])).
% 8.71/6.66 tff(27927,plain,
% 8.71/6.66 ((~v157(constB131)) | (~v195(constB131))),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27926, 27925])).
% 8.71/6.66 tff(27928,plain,
% 8.71/6.66 ((~(v194(constB131) <=> (~((~v157(constB131)) | (~v195(constB131)))))) | (~v194(constB131)) | (~((~v157(constB131)) | (~v195(constB131))))),
% 8.71/6.66 inference(tautology,[status(thm)],[])).
% 8.71/6.66 tff(27929,plain,
% 8.71/6.66 (~v194(constB131)),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27928, 27927, 27863])).
% 8.71/6.66 tff(27930,plain,
% 8.71/6.66 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB131) <=> (~((~v199(constB131)) | (~v200(constB131)))))),
% 8.71/6.66 inference(quant_inst,[status(thm)],[])).
% 8.71/6.66 tff(27931,plain,
% 8.71/6.66 (v198(constB131) <=> (~((~v199(constB131)) | (~v200(constB131))))),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27930, 96])).
% 8.71/6.66 tff(27932,plain,
% 8.71/6.66 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB131) <=> (~((~v197(constB131)) | (~v201(constB131)))))),
% 8.71/6.66 inference(quant_inst,[status(thm)],[])).
% 8.71/6.66 tff(27933,plain,
% 8.71/6.66 (v200(constB131) <=> (~((~v197(constB131)) | (~v201(constB131))))),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27932, 108])).
% 8.71/6.66 tff(27934,plain,
% 8.71/6.66 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB131) <=> (~((~v159(constB131)) | (~v161(constB131)))))),
% 8.71/6.66 inference(quant_inst,[status(thm)],[])).
% 8.71/6.66 tff(27935,plain,
% 8.71/6.66 (v201(constB131) <=> (~((~v159(constB131)) | (~v161(constB131))))),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27934, 348])).
% 8.71/6.66 tff(27936,plain,
% 8.71/6.66 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB131) <=> v163(constB131))),
% 8.71/6.66 inference(quant_inst,[status(thm)],[])).
% 8.71/6.66 tff(27937,plain,
% 8.71/6.66 (v161(constB131) <=> v163(constB131)),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27936, 357])).
% 8.71/6.66 tff(27938,plain,
% 8.71/6.66 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB131) <=> (v145(constB131) | v167(constB131)))),
% 8.71/6.66 inference(quant_inst,[status(thm)],[])).
% 8.71/6.66 tff(27939,plain,
% 8.71/6.66 (v166(constB131) <=> (v145(constB131) | v167(constB131))),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27938, 369])).
% 8.71/6.66 tff(27940,plain,
% 8.71/6.66 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB131) <=> (v142(constB131) | v168(constB131)))),
% 8.71/6.66 inference(quant_inst,[status(thm)],[])).
% 8.71/6.66 tff(27941,plain,
% 8.71/6.66 (v167(constB131) <=> (v142(constB131) | v168(constB131))),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27940, 381])).
% 8.71/6.66 tff(27942,plain,
% 8.71/6.66 ((~![VarCurr: $i] : (v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr)))) | (v168(constB131) <=> (v141(constB131) | v169(constB131)))),
% 8.71/6.66 inference(quant_inst,[status(thm)],[])).
% 8.71/6.66 tff(27943,plain,
% 8.71/6.66 (v168(constB131) <=> (v141(constB131) | v169(constB131))),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27942, 393])).
% 8.71/6.66 tff(27944,plain,
% 8.71/6.66 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB131) <=> (~((~v88(constB131, bitIndex1)) | v88(constB131, bitIndex2) | (~v88(constB131, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB131) <=> (~((~v88(constB131, bitIndex1)) | v88(constB131, bitIndex2) | (~v88(constB131, bitIndex0))))))),
% 8.71/6.66 inference(rewrite,[status(thm)],[])).
% 8.71/6.66 tff(27945,plain,
% 8.71/6.66 ((v141(constB131) <=> (~(v88(constB131, bitIndex2) | (~v88(constB131, bitIndex1)) | (~v88(constB131, bitIndex0))))) <=> (v141(constB131) <=> (~((~v88(constB131, bitIndex1)) | v88(constB131, bitIndex2) | (~v88(constB131, bitIndex0)))))),
% 8.71/6.66 inference(rewrite,[status(thm)],[])).
% 8.71/6.66 tff(27946,plain,
% 8.71/6.66 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB131) <=> (~(v88(constB131, bitIndex2) | (~v88(constB131, bitIndex1)) | (~v88(constB131, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB131) <=> (~((~v88(constB131, bitIndex1)) | v88(constB131, bitIndex2) | (~v88(constB131, bitIndex0))))))),
% 8.71/6.66 inference(monotonicity,[status(thm)],[27945])).
% 8.71/6.66 tff(27947,plain,
% 8.71/6.66 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB131) <=> (~(v88(constB131, bitIndex2) | (~v88(constB131, bitIndex1)) | (~v88(constB131, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB131) <=> (~((~v88(constB131, bitIndex1)) | v88(constB131, bitIndex2) | (~v88(constB131, bitIndex0))))))),
% 8.71/6.66 inference(transitivity,[status(thm)],[27946, 27944])).
% 8.71/6.66 tff(27948,plain,
% 8.71/6.66 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB131) <=> (~(v88(constB131, bitIndex2) | (~v88(constB131, bitIndex1)) | (~v88(constB131, bitIndex0)))))),
% 8.71/6.66 inference(quant_inst,[status(thm)],[])).
% 8.71/6.66 tff(27949,plain,
% 8.71/6.66 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB131) <=> (~((~v88(constB131, bitIndex1)) | v88(constB131, bitIndex2) | (~v88(constB131, bitIndex0)))))),
% 8.71/6.66 inference(modus_ponens,[status(thm)],[27948, 27947])).
% 8.71/6.66 tff(27950,plain,
% 8.71/6.66 (v141(constB131) <=> (~((~v88(constB131, bitIndex1)) | v88(constB131, bitIndex2) | (~v88(constB131, bitIndex0))))),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27949, 408])).
% 8.71/6.66 tff(27951,plain,
% 8.71/6.66 ((~![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))) | (~(((~v88(constB131, bitIndex1)) <=> v90(constB131, bitIndex1)) | ((~v88(constB131, bitIndex2)) <=> v90(constB131, bitIndex2)) | ((~v88(constB131, bitIndex0)) <=> v90(constB131, bitIndex0))))),
% 8.71/6.66 inference(quant_inst,[status(thm)],[])).
% 8.71/6.66 tff(27952,plain,
% 8.71/6.66 (~(((~v88(constB131, bitIndex1)) <=> v90(constB131, bitIndex1)) | ((~v88(constB131, bitIndex2)) <=> v90(constB131, bitIndex2)) | ((~v88(constB131, bitIndex0)) <=> v90(constB131, bitIndex0)))),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27951, 428])).
% 8.71/6.66 tff(27953,plain,
% 8.71/6.66 ((((~v88(constB131, bitIndex1)) <=> v90(constB131, bitIndex1)) | ((~v88(constB131, bitIndex2)) <=> v90(constB131, bitIndex2)) | ((~v88(constB131, bitIndex0)) <=> v90(constB131, bitIndex0))) | (~((~v88(constB131, bitIndex2)) <=> v90(constB131, bitIndex2)))),
% 8.71/6.66 inference(tautology,[status(thm)],[])).
% 8.71/6.66 tff(27954,plain,
% 8.71/6.66 (~((~v88(constB131, bitIndex2)) <=> v90(constB131, bitIndex2))),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27953, 27952])).
% 8.71/6.66 tff(27955,plain,
% 8.71/6.66 (((~v88(constB131, bitIndex2)) <=> v90(constB131, bitIndex2)) | (~v88(constB131, bitIndex2)) | v90(constB131, bitIndex2)),
% 8.71/6.66 inference(tautology,[status(thm)],[])).
% 8.71/6.66 tff(27956,plain,
% 8.71/6.66 (~v88(constB131, bitIndex2)),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27955, 18820, 27954])).
% 8.71/6.66 tff(27957,plain,
% 8.71/6.66 ((((~v88(constB131, bitIndex1)) <=> v90(constB131, bitIndex1)) | ((~v88(constB131, bitIndex2)) <=> v90(constB131, bitIndex2)) | ((~v88(constB131, bitIndex0)) <=> v90(constB131, bitIndex0))) | (~((~v88(constB131, bitIndex0)) <=> v90(constB131, bitIndex0)))),
% 8.71/6.66 inference(tautology,[status(thm)],[])).
% 8.71/6.66 tff(27958,plain,
% 8.71/6.66 (~((~v88(constB131, bitIndex0)) <=> v90(constB131, bitIndex0))),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27957, 27952])).
% 8.71/6.66 tff(27959,plain,
% 8.71/6.66 (((~v88(constB131, bitIndex0)) <=> v90(constB131, bitIndex0)) | v88(constB131, bitIndex0) | (~v90(constB131, bitIndex0))),
% 8.71/6.66 inference(tautology,[status(thm)],[])).
% 8.71/6.66 tff(27960,plain,
% 8.71/6.66 (v88(constB131, bitIndex0)),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27959, 18838, 27958])).
% 8.71/6.66 tff(27961,plain,
% 8.71/6.66 ((((~v88(constB131, bitIndex1)) <=> v90(constB131, bitIndex1)) | ((~v88(constB131, bitIndex2)) <=> v90(constB131, bitIndex2)) | ((~v88(constB131, bitIndex0)) <=> v90(constB131, bitIndex0))) | (~((~v88(constB131, bitIndex1)) <=> v90(constB131, bitIndex1)))),
% 8.71/6.66 inference(tautology,[status(thm)],[])).
% 8.71/6.66 tff(27962,plain,
% 8.71/6.66 (~((~v88(constB131, bitIndex1)) <=> v90(constB131, bitIndex1))),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27961, 27952])).
% 8.71/6.66 tff(27963,plain,
% 8.71/6.66 (((~v88(constB131, bitIndex1)) <=> v90(constB131, bitIndex1)) | v88(constB131, bitIndex1) | (~v90(constB131, bitIndex1))),
% 8.71/6.66 inference(tautology,[status(thm)],[])).
% 8.71/6.66 tff(27964,plain,
% 8.71/6.66 (v88(constB131, bitIndex1)),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27963, 18856, 27962])).
% 8.71/6.66 tff(27965,plain,
% 8.71/6.66 ((~((~v88(constB131, bitIndex1)) | v88(constB131, bitIndex2) | (~v88(constB131, bitIndex0)))) | (~v88(constB131, bitIndex1)) | v88(constB131, bitIndex2) | (~v88(constB131, bitIndex0))),
% 8.71/6.66 inference(tautology,[status(thm)],[])).
% 8.71/6.66 tff(27966,plain,
% 8.71/6.66 (~((~v88(constB131, bitIndex1)) | v88(constB131, bitIndex2) | (~v88(constB131, bitIndex0)))),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27965, 27964, 27960, 27956])).
% 8.71/6.66 tff(27967,plain,
% 8.71/6.66 ((~(v141(constB131) <=> (~((~v88(constB131, bitIndex1)) | v88(constB131, bitIndex2) | (~v88(constB131, bitIndex0)))))) | v141(constB131) | ((~v88(constB131, bitIndex1)) | v88(constB131, bitIndex2) | (~v88(constB131, bitIndex0)))),
% 8.71/6.66 inference(tautology,[status(thm)],[])).
% 8.71/6.66 tff(27968,plain,
% 8.71/6.66 (v141(constB131)),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27967, 27966, 27950])).
% 8.71/6.66 tff(27969,plain,
% 8.71/6.66 ((v141(constB131) | v169(constB131)) | (~v141(constB131))),
% 8.71/6.66 inference(tautology,[status(thm)],[])).
% 8.71/6.66 tff(27970,plain,
% 8.71/6.66 (v141(constB131) | v169(constB131)),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27969, 27968])).
% 8.71/6.66 tff(27971,plain,
% 8.71/6.66 ((~(v168(constB131) <=> (v141(constB131) | v169(constB131)))) | v168(constB131) | (~(v141(constB131) | v169(constB131)))),
% 8.71/6.66 inference(tautology,[status(thm)],[])).
% 8.71/6.66 tff(27972,plain,
% 8.71/6.66 (v168(constB131)),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27971, 27970, 27943])).
% 8.71/6.66 tff(27973,plain,
% 8.71/6.66 ((v142(constB131) | v168(constB131)) | (~v168(constB131))),
% 8.71/6.66 inference(tautology,[status(thm)],[])).
% 8.71/6.66 tff(27974,plain,
% 8.71/6.66 (v142(constB131) | v168(constB131)),
% 8.71/6.66 inference(unit_resolution,[status(thm)],[27973, 27972])).
% 8.71/6.66 tff(27975,plain,
% 8.71/6.66 ((~(v167(constB131) <=> (v142(constB131) | v168(constB131)))) | v167(constB131) | (~(v142(constB131) | v168(constB131)))),
% 8.71/6.66 inference(tautology,[status(thm)],[])).
% 8.71/6.67 tff(27976,plain,
% 8.71/6.67 ((~(v167(constB131) <=> (v142(constB131) | v168(constB131)))) | v167(constB131)),
% 8.71/6.67 inference(unit_resolution,[status(thm)],[27975, 27974])).
% 8.71/6.67 tff(27977,plain,
% 8.71/6.67 (v167(constB131)),
% 8.71/6.67 inference(unit_resolution,[status(thm)],[27976, 27941])).
% 8.71/6.67 tff(27978,plain,
% 8.71/6.67 ((v145(constB131) | v167(constB131)) | (~v167(constB131))),
% 8.71/6.67 inference(tautology,[status(thm)],[])).
% 8.71/6.67 tff(27979,plain,
% 8.71/6.67 (v145(constB131) | v167(constB131)),
% 8.71/6.67 inference(unit_resolution,[status(thm)],[27978, 27977])).
% 8.71/6.67 tff(27980,plain,
% 8.71/6.67 ((~(v166(constB131) <=> (v145(constB131) | v167(constB131)))) | v166(constB131) | (~(v145(constB131) | v167(constB131)))),
% 8.71/6.67 inference(tautology,[status(thm)],[])).
% 8.71/6.67 tff(27981,plain,
% 8.71/6.67 (v166(constB131)),
% 8.71/6.67 inference(unit_resolution,[status(thm)],[27980, 27979, 27939])).
% 8.71/6.67 tff(27982,plain,
% 8.71/6.67 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB131)) | (v163(constB131) <=> v170(constB131)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB131)) | (v163(constB131) <=> v170(constB131)))),
% 8.71/6.67 inference(rewrite,[status(thm)],[])).
% 8.71/6.67 tff(27983,plain,
% 8.71/6.67 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB131)) | (v163(constB131) <=> v170(constB131)))),
% 8.71/6.67 inference(quant_inst,[status(thm)],[])).
% 8.71/6.67 tff(27984,plain,
% 8.71/6.67 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB131)) | (v163(constB131) <=> v170(constB131))),
% 8.71/6.67 inference(modus_ponens,[status(thm)],[27983, 27982])).
% 8.71/6.67 tff(27985,plain,
% 8.71/6.67 ((~v166(constB131)) | (v163(constB131) <=> v170(constB131))),
% 8.71/6.67 inference(unit_resolution,[status(thm)],[27984, 9851])).
% 8.71/6.67 tff(27986,plain,
% 8.71/6.67 (v163(constB131) <=> v170(constB131)),
% 8.71/6.67 inference(unit_resolution,[status(thm)],[27985, 27981])).
% 8.71/6.67 tff(27987,plain,
% 8.71/6.67 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB131) <=> (v142(constB131) | v150(constB131)))),
% 8.71/6.67 inference(quant_inst,[status(thm)],[])).
% 8.71/6.67 tff(27988,plain,
% 8.71/6.67 (v171(constB131) <=> (v142(constB131) | v150(constB131))),
% 8.71/6.67 inference(unit_resolution,[status(thm)],[27987, 9866])).
% 8.71/6.67 tff(27989,plain,
% 8.71/6.67 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v141(VarCurr) | v151(VarCurr)))) | (v150(constB131) <=> (v141(constB131) | v151(constB131)))),
% 8.71/6.67 inference(quant_inst,[status(thm)],[])).
% 8.71/6.67 tff(27990,plain,
% 8.71/6.67 (v150(constB131) <=> (v141(constB131) | v151(constB131))),
% 8.71/6.67 inference(unit_resolution,[status(thm)],[27989, 9878])).
% 8.71/6.67 tff(27991,plain,
% 8.71/6.67 ((v141(constB131) | v151(constB131)) | (~v141(constB131))),
% 8.71/6.67 inference(tautology,[status(thm)],[])).
% 8.71/6.67 tff(27992,plain,
% 8.71/6.67 (v141(constB131) | v151(constB131)),
% 8.71/6.67 inference(unit_resolution,[status(thm)],[27991, 27968])).
% 8.71/6.67 tff(27993,plain,
% 8.71/6.67 ((~(v150(constB131) <=> (v141(constB131) | v151(constB131)))) | v150(constB131) | (~(v141(constB131) | v151(constB131)))),
% 8.71/6.67 inference(tautology,[status(thm)],[])).
% 8.71/6.67 tff(27994,plain,
% 8.71/6.67 (v150(constB131)),
% 8.71/6.67 inference(unit_resolution,[status(thm)],[27993, 27992, 27990])).
% 8.71/6.67 tff(27995,plain,
% 8.71/6.67 ((v142(constB131) | v150(constB131)) | (~v150(constB131))),
% 8.71/6.67 inference(tautology,[status(thm)],[])).
% 8.71/6.67 tff(27996,plain,
% 8.71/6.67 (v142(constB131) | v150(constB131)),
% 8.71/6.67 inference(unit_resolution,[status(thm)],[27995, 27994])).
% 8.71/6.67 tff(27997,plain,
% 8.71/6.67 ((~(v171(constB131) <=> (v142(constB131) | v150(constB131)))) | v171(constB131) | (~(v142(constB131) | v150(constB131)))),
% 8.71/6.67 inference(tautology,[status(thm)],[])).
% 8.71/6.67 tff(27998,plain,
% 8.71/6.67 ((~(v171(constB131) <=> (v142(constB131) | v150(constB131)))) | v171(constB131)),
% 8.71/6.67 inference(unit_resolution,[status(thm)],[27997, 27996])).
% 8.71/6.67 tff(27999,plain,
% 8.71/6.67 (v171(constB131)),
% 8.71/6.67 inference(unit_resolution,[status(thm)],[27998, 27988])).
% 8.71/6.67 tff(28000,plain,
% 8.71/6.67 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB131)) | (~v171(constB131)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB131)) | (~v171(constB131)))),
% 8.71/6.67 inference(rewrite,[status(thm)],[])).
% 8.71/6.67 tff(28001,plain,
% 8.71/6.67 (((~v171(constB131)) | (~v170(constB131))) <=> ((~v170(constB131)) | (~v171(constB131)))),
% 8.71/6.67 inference(rewrite,[status(thm)],[])).
% 8.71/6.67 tff(28002,plain,
% 8.71/6.67 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB131)) | (~v170(constB131)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB131)) | (~v171(constB131))))),
% 8.71/6.67 inference(monotonicity,[status(thm)],[28001])).
% 8.71/6.67 tff(28003,plain,
% 8.71/6.67 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB131)) | (~v170(constB131)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB131)) | (~v171(constB131)))),
% 8.71/6.67 inference(transitivity,[status(thm)],[28002, 28000])).
% 8.71/6.67 tff(28004,plain,
% 8.71/6.67 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB131)) | (~v170(constB131)))),
% 8.71/6.67 inference(quant_inst,[status(thm)],[])).
% 8.71/6.67 tff(28005,plain,
% 8.71/6.67 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB131)) | (~v171(constB131))),
% 8.71/6.67 inference(modus_ponens,[status(thm)],[28004, 28003])).
% 8.71/6.67 tff(28006,plain,
% 8.71/6.67 (~v170(constB131)),
% 8.71/6.67 inference(unit_resolution,[status(thm)],[28005, 9899, 27999])).
% 8.71/6.67 tff(28007,plain,
% 8.71/6.67 ((~(v163(constB131) <=> v170(constB131))) | (~v163(constB131)) | v170(constB131)),
% 8.71/6.67 inference(tautology,[status(thm)],[])).
% 8.71/6.67 tff(28008,plain,
% 8.71/6.67 (~v163(constB131)),
% 8.71/6.67 inference(unit_resolution,[status(thm)],[28007, 28006, 27986])).
% 8.71/6.67 tff(28009,plain,
% 8.71/6.67 ((~(v161(constB131) <=> v163(constB131))) | (~v161(constB131)) | v163(constB131)),
% 8.71/6.67 inference(tautology,[status(thm)],[])).
% 8.71/6.67 tff(28010,plain,
% 8.71/6.67 (~v161(constB131)),
% 8.71/6.67 inference(unit_resolution,[status(thm)],[28009, 28008, 27937])).
% 8.71/6.67 tff(28011,plain,
% 8.71/6.67 (((~v159(constB131)) | (~v161(constB131))) | v161(constB131)),
% 8.71/6.67 inference(tautology,[status(thm)],[])).
% 8.71/6.67 tff(28012,plain,
% 8.71/6.67 ((~v159(constB131)) | (~v161(constB131))),
% 8.71/6.67 inference(unit_resolution,[status(thm)],[28011, 28010])).
% 8.71/6.67 tff(28013,plain,
% 8.71/6.67 ((~(v201(constB131) <=> (~((~v159(constB131)) | (~v161(constB131)))))) | (~v201(constB131)) | (~((~v159(constB131)) | (~v161(constB131))))),
% 8.71/6.67 inference(tautology,[status(thm)],[])).
% 8.71/6.67 tff(28014,plain,
% 8.71/6.67 (~v201(constB131)),
% 8.71/6.67 inference(unit_resolution,[status(thm)],[28013, 28012, 27935])).
% 8.71/6.67 tff(28015,plain,
% 8.71/6.67 (((~v197(constB131)) | (~v201(constB131))) | v201(constB131)),
% 8.71/6.67 inference(tautology,[status(thm)],[])).
% 8.71/6.67 tff(28016,plain,
% 8.71/6.67 ((~v197(constB131)) | (~v201(constB131))),
% 8.71/6.67 inference(unit_resolution,[status(thm)],[28015, 28014])).
% 8.71/6.67 tff(28017,plain,
% 8.71/6.67 ((~(v200(constB131) <=> (~((~v197(constB131)) | (~v201(constB131)))))) | (~v200(constB131)) | (~((~v197(constB131)) | (~v201(constB131))))),
% 8.71/6.67 inference(tautology,[status(thm)],[])).
% 8.71/6.67 tff(28018,plain,
% 8.71/6.67 (~v200(constB131)),
% 8.71/6.67 inference(unit_resolution,[status(thm)],[28017, 28016, 27933])).
% 8.71/6.67 tff(28019,plain,
% 8.71/6.67 (((~v199(constB131)) | (~v200(constB131))) | v200(constB131)),
% 8.71/6.67 inference(tautology,[status(thm)],[])).
% 8.71/6.67 tff(28020,plain,
% 8.71/6.67 ((~v199(constB131)) | (~v200(constB131))),
% 8.71/6.67 inference(unit_resolution,[status(thm)],[28019, 28018])).
% 8.71/6.67 tff(28021,plain,
% 8.71/6.67 ((~(v198(constB131) <=> (~((~v199(constB131)) | (~v200(constB131)))))) | (~v198(constB131)) | (~((~v199(constB131)) | (~v200(constB131))))),
% 8.71/6.67 inference(tautology,[status(thm)],[])).
% 8.71/6.67 tff(28022,plain,
% 8.71/6.67 (~v198(constB131)),
% 8.71/6.67 inference(unit_resolution,[status(thm)],[28021, 28020, 27931])).
% 8.71/6.67 tff(28023,plain,
% 8.71/6.67 ((~(v194(constB131) | v198(constB131))) | v194(constB131) | v198(constB131)),
% 8.71/6.67 inference(tautology,[status(thm)],[])).
% 8.71/6.67 tff(28024,plain,
% 8.71/6.67 (~(v194(constB131) | v198(constB131))),
% 8.71/6.67 inference(unit_resolution,[status(thm)],[28023, 28022, 27929])).
% 8.71/6.67 tff(28025,plain,
% 8.71/6.67 ((~(v191(constB131) <=> (v194(constB131) | v198(constB131)))) | (~v191(constB131)) | (v194(constB131) | v198(constB131))),
% 8.71/6.67 inference(tautology,[status(thm)],[])).
% 8.71/6.67 tff(28026,plain,
% 8.71/6.67 (~v191(constB131)),
% 8.71/6.67 inference(unit_resolution,[status(thm)],[28025, 28024, 27856])).
% 8.71/6.67 tff(28027,plain,
% 8.71/6.67 ((~(v193(constB132) <=> v191(constB131))) | (~v193(constB132)) | v191(constB131)),
% 8.71/6.67 inference(tautology,[status(thm)],[])).
% 8.71/6.67 tff(28028,plain,
% 8.71/6.67 (~v193(constB132)),
% 8.71/6.67 inference(unit_resolution,[status(thm)],[28027, 28026, 27854])).
% 8.71/6.67 tff(28029,plain,
% 8.71/6.67 ((~(v157(constB132) <=> v193(constB132))) | (~v157(constB132)) | v193(constB132)),
% 8.71/6.67 inference(tautology,[status(thm)],[])).
% 8.71/6.67 tff(28030,plain,
% 8.71/6.67 (~v157(constB132)),
% 8.71/6.67 inference(unit_resolution,[status(thm)],[28029, 28028, 27850])).
% 8.71/6.67 tff(28031,plain,
% 8.71/6.67 (((~v157(constB132)) | (~v195(constB132))) | v157(constB132)),
% 8.71/6.67 inference(tautology,[status(thm)],[])).
% 8.71/6.67 tff(28032,plain,
% 8.71/6.67 ((~v157(constB132)) | (~v195(constB132))),
% 8.71/6.67 inference(unit_resolution,[status(thm)],[28031, 28030])).
% 8.71/6.67 tff(28033,plain,
% 8.71/6.67 ((~(v194(constB132) <=> (~((~v157(constB132)) | (~v195(constB132)))))) | (~v194(constB132)) | (~((~v157(constB132)) | (~v195(constB132))))),
% 8.71/6.67 inference(tautology,[status(thm)],[])).
% 8.71/6.67 tff(28034,plain,
% 8.71/6.67 (~v194(constB132)),
% 8.71/6.67 inference(unit_resolution,[status(thm)],[28033, 28032, 27848])).
% 8.71/6.67 tff(28035,plain,
% 8.71/6.67 ((~(v194(constB132) | v198(constB132))) | v194(constB132) | v198(constB132)),
% 8.71/6.67 inference(tautology,[status(thm)],[])).
% 8.71/6.67 tff(28036,plain,
% 8.71/6.67 (~(v194(constB132) | v198(constB132))),
% 8.71/6.67 inference(unit_resolution,[status(thm)],[28035, 28034, 27841])).
% 8.71/6.67 tff(28037,plain,
% 8.71/6.67 ((~(v191(constB132) <=> (v194(constB132) | v198(constB132)))) | (~v191(constB132)) | (v194(constB132) | v198(constB132))),
% 8.71/6.67 inference(tautology,[status(thm)],[])).
% 8.71/6.67 tff(28038,plain,
% 8.71/6.67 (~v191(constB132)),
% 8.71/6.67 inference(unit_resolution,[status(thm)],[28037, 28036, 27816])).
% 8.71/6.67 tff(28039,plain,
% 8.71/6.67 ((~(v193(constB133) <=> v191(constB132))) | (~v193(constB133)) | v191(constB132)),
% 8.71/6.67 inference(tautology,[status(thm)],[])).
% 8.71/6.67 tff(28040,plain,
% 8.71/6.67 (~v193(constB133)),
% 8.71/6.67 inference(unit_resolution,[status(thm)],[28039, 28038, 27814])).
% 8.71/6.67 tff(28041,plain,
% 8.71/6.67 ($false),
% 8.71/6.67 inference(unit_resolution,[status(thm)],[28040, 27810])).
% 8.71/6.67 tff(28042,plain,(~(constB133 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.71/6.67 tff(28043,assumption,(constB69 = VarCurr!0), introduced(assumption)).
% 8.71/6.67 tff(28044,plain,
% 8.71/6.67 (v86(constB69) <=> v86(VarCurr!0)),
% 8.71/6.67 inference(monotonicity,[status(thm)],[28043])).
% 8.71/6.67 tff(28045,plain,
% 8.71/6.67 (v86(VarCurr!0) <=> v86(constB69)),
% 8.71/6.67 inference(symmetry,[status(thm)],[28044])).
% 8.71/6.67 tff(28046,plain,
% 8.71/6.67 ((~v86(VarCurr!0)) <=> (~v86(constB69))),
% 8.71/6.67 inference(monotonicity,[status(thm)],[28045])).
% 8.71/6.67 tff(28047,plain,
% 8.71/6.67 (~v86(constB69)),
% 8.71/6.67 inference(modus_ponens,[status(thm)],[14736, 28046])).
% 8.71/6.67 tff(28048,plain,
% 8.71/6.67 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB69) <=> (v136(constB69) | v145(constB69)))),
% 8.71/6.67 inference(quant_inst,[status(thm)],[])).
% 8.71/6.67 tff(28049,plain,
% 8.71/6.67 (v135(constB69) <=> (v136(constB69) | v145(constB69))),
% 8.71/6.67 inference(unit_resolution,[status(thm)],[28048, 14744])).
% 8.71/6.67 tff(28050,plain,
% 8.71/6.67 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB69) <=> (v137(constB69) | v142(constB69)))),
% 8.71/6.67 inference(quant_inst,[status(thm)],[])).
% 8.71/6.67 tff(28051,plain,
% 8.71/6.67 (v136(constB69) <=> (v137(constB69) | v142(constB69))),
% 8.71/6.67 inference(unit_resolution,[status(thm)],[28050, 14753])).
% 8.71/6.67 tff(28052,plain,
% 8.71/6.67 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB69) <=> (v143(constB69) | v144(constB69)))),
% 8.71/6.67 inference(quant_inst,[status(thm)],[])).
% 8.71/6.67 tff(28053,plain,
% 8.71/6.67 (v142(constB69) <=> (v143(constB69) | v144(constB69))),
% 8.71/6.67 inference(unit_resolution,[status(thm)],[28052, 10332])).
% 8.71/6.67 tff(28054,plain,
% 8.71/6.67 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB69) <=> (~((~v88(constB69, bitIndex1)) | v88(constB69, bitIndex2) | v88(constB69, bitIndex0))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB69) <=> (~((~v88(constB69, bitIndex1)) | v88(constB69, bitIndex2) | v88(constB69, bitIndex0)))))),
% 8.71/6.67 inference(rewrite,[status(thm)],[])).
% 8.71/6.67 tff(28055,plain,
% 8.71/6.67 ((v143(constB69) <=> (~(v88(constB69, bitIndex0) | v88(constB69, bitIndex2) | (~v88(constB69, bitIndex1))))) <=> (v143(constB69) <=> (~((~v88(constB69, bitIndex1)) | v88(constB69, bitIndex2) | v88(constB69, bitIndex0))))),
% 8.71/6.67 inference(rewrite,[status(thm)],[])).
% 8.71/6.67 tff(28056,plain,
% 8.71/6.67 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB69) <=> (~(v88(constB69, bitIndex0) | v88(constB69, bitIndex2) | (~v88(constB69, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB69) <=> (~((~v88(constB69, bitIndex1)) | v88(constB69, bitIndex2) | v88(constB69, bitIndex0)))))),
% 8.71/6.67 inference(monotonicity,[status(thm)],[28055])).
% 8.71/6.67 tff(28057,plain,
% 8.71/6.67 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB69) <=> (~(v88(constB69, bitIndex0) | v88(constB69, bitIndex2) | (~v88(constB69, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB69) <=> (~((~v88(constB69, bitIndex1)) | v88(constB69, bitIndex2) | v88(constB69, bitIndex0)))))),
% 8.71/6.67 inference(transitivity,[status(thm)],[28056, 28054])).
% 8.71/6.67 tff(28058,plain,
% 8.71/6.67 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB69) <=> (~(v88(constB69, bitIndex0) | v88(constB69, bitIndex2) | (~v88(constB69, bitIndex1)))))),
% 8.71/6.67 inference(quant_inst,[status(thm)],[])).
% 8.71/6.67 tff(28059,plain,
% 8.71/6.67 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB69) <=> (~((~v88(constB69, bitIndex1)) | v88(constB69, bitIndex2) | v88(constB69, bitIndex0))))),
% 8.71/6.67 inference(modus_ponens,[status(thm)],[28058, 28057])).
% 8.71/6.67 tff(28060,plain,
% 8.71/6.67 (v143(constB69) <=> (~((~v88(constB69, bitIndex1)) | v88(constB69, bitIndex2) | v88(constB69, bitIndex0)))),
% 8.71/6.67 inference(unit_resolution,[status(thm)],[28059, 14770])).
% 8.71/6.67 tff(28061,plain,
% 8.71/6.67 ((~![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))) | (~(((~v88(constB69, bitIndex1)) <=> v90(constB69, bitIndex1)) | ((~v88(constB69, bitIndex2)) <=> v90(constB69, bitIndex2)) | ((~v88(constB69, bitIndex0)) <=> v90(constB69, bitIndex0))))),
% 8.71/6.67 inference(quant_inst,[status(thm)],[])).
% 8.71/6.67 tff(28062,plain,
% 8.71/6.67 (~(((~v88(constB69, bitIndex1)) <=> v90(constB69, bitIndex1)) | ((~v88(constB69, bitIndex2)) <=> v90(constB69, bitIndex2)) | ((~v88(constB69, bitIndex0)) <=> v90(constB69, bitIndex0)))),
% 8.71/6.67 inference(unit_resolution,[status(thm)],[28061, 428])).
% 8.71/6.67 tff(28063,plain,
% 8.71/6.67 ((((~v88(constB69, bitIndex1)) <=> v90(constB69, bitIndex1)) | ((~v88(constB69, bitIndex2)) <=> v90(constB69, bitIndex2)) | ((~v88(constB69, bitIndex0)) <=> v90(constB69, bitIndex0))) | (~((~v88(constB69, bitIndex2)) <=> v90(constB69, bitIndex2)))),
% 8.71/6.67 inference(tautology,[status(thm)],[])).
% 8.71/6.67 tff(28064,plain,
% 8.71/6.67 (~((~v88(constB69, bitIndex2)) <=> v90(constB69, bitIndex2))),
% 8.71/6.67 inference(unit_resolution,[status(thm)],[28063, 28062])).
% 8.71/6.67 tff(28065,plain,
% 8.71/6.67 (((~v88(constB69, bitIndex2)) <=> v90(constB69, bitIndex2)) | (~v88(constB69, bitIndex2)) | v90(constB69, bitIndex2)),
% 8.71/6.67 inference(tautology,[status(thm)],[])).
% 8.71/6.67 tff(28066,plain,
% 8.71/6.67 (~v88(constB69, bitIndex2)),
% 8.71/6.67 inference(unit_resolution,[status(thm)],[28065, 8825, 28064])).
% 8.71/6.67 tff(28067,plain,
% 8.71/6.67 ((((~v88(constB69, bitIndex1)) <=> v90(constB69, bitIndex1)) | ((~v88(constB69, bitIndex2)) <=> v90(constB69, bitIndex2)) | ((~v88(constB69, bitIndex0)) <=> v90(constB69, bitIndex0))) | (~((~v88(constB69, bitIndex0)) <=> v90(constB69, bitIndex0)))),
% 8.71/6.67 inference(tautology,[status(thm)],[])).
% 8.71/6.67 tff(28068,plain,
% 8.71/6.67 (~((~v88(constB69, bitIndex0)) <=> v90(constB69, bitIndex0))),
% 8.71/6.67 inference(unit_resolution,[status(thm)],[28067, 28062])).
% 8.71/6.67 tff(28069,plain,
% 8.71/6.67 (((~v88(constB69, bitIndex0)) <=> v90(constB69, bitIndex0)) | (~v88(constB69, bitIndex0)) | v90(constB69, bitIndex0)),
% 8.71/6.67 inference(tautology,[status(thm)],[])).
% 8.71/6.67 tff(28070,plain,
% 8.71/6.67 (~v88(constB69, bitIndex0)),
% 8.71/6.67 inference(unit_resolution,[status(thm)],[28069, 8843, 28068])).
% 8.71/6.67 tff(28071,plain,
% 8.71/6.67 ((((~v88(constB69, bitIndex1)) <=> v90(constB69, bitIndex1)) | ((~v88(constB69, bitIndex2)) <=> v90(constB69, bitIndex2)) | ((~v88(constB69, bitIndex0)) <=> v90(constB69, bitIndex0))) | (~((~v88(constB69, bitIndex1)) <=> v90(constB69, bitIndex1)))),
% 8.71/6.67 inference(tautology,[status(thm)],[])).
% 8.71/6.67 tff(28072,plain,
% 8.71/6.67 (~((~v88(constB69, bitIndex1)) <=> v90(constB69, bitIndex1))),
% 8.71/6.67 inference(unit_resolution,[status(thm)],[28071, 28062])).
% 8.71/6.67 tff(28073,plain,
% 8.71/6.67 (((~v88(constB69, bitIndex1)) <=> v90(constB69, bitIndex1)) | v88(constB69, bitIndex1) | (~v90(constB69, bitIndex1))),
% 8.71/6.67 inference(tautology,[status(thm)],[])).
% 8.71/6.67 tff(28074,plain,
% 8.71/6.67 (v88(constB69, bitIndex1)),
% 8.71/6.67 inference(unit_resolution,[status(thm)],[28073, 8861, 28072])).
% 8.71/6.67 tff(28075,plain,
% 8.71/6.67 ((~((~v88(constB69, bitIndex1)) | v88(constB69, bitIndex2) | v88(constB69, bitIndex0))) | (~v88(constB69, bitIndex1)) | v88(constB69, bitIndex2) | v88(constB69, bitIndex0)),
% 8.71/6.67 inference(tautology,[status(thm)],[])).
% 8.71/6.67 tff(28076,plain,
% 8.71/6.67 (~((~v88(constB69, bitIndex1)) | v88(constB69, bitIndex2) | v88(constB69, bitIndex0))),
% 8.71/6.67 inference(unit_resolution,[status(thm)],[28075, 28074, 28070, 28066])).
% 8.71/6.67 tff(28077,plain,
% 8.71/6.67 ((~(v143(constB69) <=> (~((~v88(constB69, bitIndex1)) | v88(constB69, bitIndex2) | v88(constB69, bitIndex0))))) | v143(constB69) | ((~v88(constB69, bitIndex1)) | v88(constB69, bitIndex2) | v88(constB69, bitIndex0))),
% 8.71/6.67 inference(tautology,[status(thm)],[])).
% 8.71/6.67 tff(28078,plain,
% 8.71/6.67 (v143(constB69)),
% 8.71/6.67 inference(unit_resolution,[status(thm)],[28077, 28076, 28060])).
% 8.71/6.67 tff(28079,plain,
% 8.71/6.67 ((v143(constB69) | v144(constB69)) | (~v143(constB69))),
% 8.71/6.67 inference(tautology,[status(thm)],[])).
% 8.71/6.67 tff(28080,plain,
% 8.71/6.67 (v143(constB69) | v144(constB69)),
% 8.71/6.67 inference(unit_resolution,[status(thm)],[28079, 28078])).
% 8.71/6.67 tff(28081,plain,
% 8.71/6.67 ((~(v142(constB69) <=> (v143(constB69) | v144(constB69)))) | v142(constB69) | (~(v143(constB69) | v144(constB69)))),
% 8.71/6.67 inference(tautology,[status(thm)],[])).
% 8.71/6.67 tff(28082,plain,
% 8.71/6.67 (v142(constB69)),
% 8.71/6.67 inference(unit_resolution,[status(thm)],[28081, 28080, 28053])).
% 8.71/6.67 tff(28083,plain,
% 8.71/6.67 ((v137(constB69) | v142(constB69)) | (~v142(constB69))),
% 8.71/6.67 inference(tautology,[status(thm)],[])).
% 8.71/6.67 tff(28084,plain,
% 8.71/6.67 (v137(constB69) | v142(constB69)),
% 8.71/6.67 inference(unit_resolution,[status(thm)],[28083, 28082])).
% 8.71/6.67 tff(28085,plain,
% 8.71/6.67 ((~(v136(constB69) <=> (v137(constB69) | v142(constB69)))) | v136(constB69) | (~(v137(constB69) | v142(constB69)))),
% 8.71/6.67 inference(tautology,[status(thm)],[])).
% 8.71/6.67 tff(28086,plain,
% 8.71/6.67 ((~(v136(constB69) <=> (v137(constB69) | v142(constB69)))) | v136(constB69)),
% 8.71/6.67 inference(unit_resolution,[status(thm)],[28085, 28084])).
% 8.71/6.67 tff(28087,plain,
% 8.71/6.67 (v136(constB69)),
% 8.71/6.67 inference(unit_resolution,[status(thm)],[28086, 28051])).
% 8.71/6.67 tff(28088,plain,
% 8.71/6.67 ((v136(constB69) | v145(constB69)) | (~v136(constB69))),
% 8.71/6.67 inference(tautology,[status(thm)],[])).
% 8.71/6.67 tff(28089,plain,
% 8.71/6.67 (v136(constB69) | v145(constB69)),
% 8.71/6.67 inference(unit_resolution,[status(thm)],[28088, 28087])).
% 8.71/6.67 tff(28090,plain,
% 8.71/6.67 ((~(v135(constB69) <=> (v136(constB69) | v145(constB69)))) | v135(constB69) | (~(v136(constB69) | v145(constB69)))),
% 8.71/6.67 inference(tautology,[status(thm)],[])).
% 8.71/6.67 tff(28091,plain,
% 8.71/6.67 (v135(constB69)),
% 8.71/6.67 inference(unit_resolution,[status(thm)],[28090, 28089, 28049])).
% 8.71/6.67 tff(28092,plain,
% 8.71/6.67 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB69)) | (v86(constB69) <=> v148(constB69)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB69)) | (v86(constB69) <=> v148(constB69)))),
% 8.71/6.67 inference(rewrite,[status(thm)],[])).
% 8.71/6.67 tff(28093,plain,
% 8.71/6.67 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB69)) | (v86(constB69) <=> v148(constB69)))),
% 8.71/6.67 inference(quant_inst,[status(thm)],[])).
% 8.71/6.67 tff(28094,plain,
% 8.71/6.67 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB69)) | (v86(constB69) <=> v148(constB69))),
% 8.71/6.67 inference(modus_ponens,[status(thm)],[28093, 28092])).
% 8.71/6.67 tff(28095,plain,
% 8.71/6.67 (v86(constB69) <=> v148(constB69)),
% 8.71/6.67 inference(unit_resolution,[status(thm)],[28094, 14818, 28091])).
% 8.71/6.67 tff(28096,plain,
% 8.71/6.67 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB69) | (~v142(constB69)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB69) | (~v142(constB69)))),
% 8.71/6.67 inference(rewrite,[status(thm)],[])).
% 8.71/6.67 tff(28097,plain,
% 8.71/6.67 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB69) | (~v142(constB69)))),
% 8.71/6.67 inference(quant_inst,[status(thm)],[])).
% 8.71/6.67 tff(28098,plain,
% 8.71/6.67 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB69) | (~v142(constB69))),
% 8.71/6.67 inference(modus_ponens,[status(thm)],[28097, 28096])).
% 8.71/6.67 tff(28099,plain,
% 8.71/6.67 (v148(constB69)),
% 8.71/6.67 inference(unit_resolution,[status(thm)],[28098, 14832, 28082])).
% 8.71/6.67 tff(28100,plain,
% 8.71/6.67 ((~(v86(constB69) <=> v148(constB69))) | v86(constB69) | (~v148(constB69))),
% 8.71/6.67 inference(tautology,[status(thm)],[])).
% 8.71/6.67 tff(28101,plain,
% 8.71/6.67 ((~(v86(constB69) <=> v148(constB69))) | v86(constB69)),
% 8.71/6.67 inference(unit_resolution,[status(thm)],[28100, 28099])).
% 8.71/6.67 tff(28102,plain,
% 8.71/6.67 (v86(constB69)),
% 8.71/6.67 inference(unit_resolution,[status(thm)],[28101, 28095])).
% 8.71/6.67 tff(28103,plain,
% 8.71/6.67 ($false),
% 8.71/6.67 inference(unit_resolution,[status(thm)],[28102, 28047])).
% 8.71/6.67 tff(28104,plain,(~(constB69 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.71/6.67 tff(28105,assumption,(constB111 = VarCurr!0), introduced(assumption)).
% 8.71/6.67 tff(28106,plain,
% 8.71/6.67 (v193(constB111) <=> v193(VarCurr!0)),
% 8.71/6.67 inference(monotonicity,[status(thm)],[28105])).
% 8.71/6.67 tff(28107,plain,
% 8.71/6.67 (v193(VarCurr!0) <=> v193(constB111)),
% 8.71/6.67 inference(symmetry,[status(thm)],[28106])).
% 8.71/6.67 tff(28108,plain,
% 8.71/6.67 (v193(constB111)),
% 8.71/6.67 inference(modus_ponens,[status(thm)],[59, 28107])).
% 8.71/6.67 tff(28109,plain,
% 8.71/6.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB110, constB111)) | (v193(constB111) <=> v191(constB110)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB110, constB111)) | (v193(constB111) <=> v191(constB110)))),
% 8.71/6.67 inference(rewrite,[status(thm)],[])).
% 8.71/6.67 tff(28110,plain,
% 8.71/6.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB110, constB111)) | (v193(constB111) <=> v191(constB110)))),
% 8.71/6.67 inference(quant_inst,[status(thm)],[])).
% 8.71/6.67 tff(28111,plain,
% 8.71/6.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB110, constB111)) | (v193(constB111) <=> v191(constB110))),
% 8.71/6.67 inference(modus_ponens,[status(thm)],[28110, 28109])).
% 8.71/6.67 tff(28112,plain,
% 8.71/6.67 (v193(constB111) <=> v191(constB110)),
% 8.71/6.67 inference(unit_resolution,[status(thm)],[28111, 10490, 70])).
% 8.71/6.67 tff(28113,plain,
% 8.71/6.67 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB110) <=> (v194(constB110) | v198(constB110)))),
% 8.71/6.67 inference(quant_inst,[status(thm)],[])).
% 8.71/6.67 tff(28114,plain,
% 8.71/6.67 (v191(constB110) <=> (v194(constB110) | v198(constB110))),
% 8.71/6.67 inference(unit_resolution,[status(thm)],[28113, 84])).
% 8.71/6.67 tff(28115,plain,
% 8.71/6.67 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB110) <=> (~((~v199(constB110)) | (~v200(constB110)))))),
% 8.71/6.67 inference(quant_inst,[status(thm)],[])).
% 8.71/6.67 tff(28116,plain,
% 8.71/6.67 (v198(constB110) <=> (~((~v199(constB110)) | (~v200(constB110))))),
% 8.71/6.67 inference(unit_resolution,[status(thm)],[28115, 96])).
% 8.71/6.67 tff(28117,plain,
% 8.71/6.67 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB110) <=> (~((~v197(constB110)) | (~v201(constB110)))))),
% 8.71/6.67 inference(quant_inst,[status(thm)],[])).
% 8.71/6.67 tff(28118,plain,
% 8.71/6.67 (v200(constB110) <=> (~((~v197(constB110)) | (~v201(constB110))))),
% 8.71/6.67 inference(unit_resolution,[status(thm)],[28117, 108])).
% 8.71/6.67 tff(28119,plain,
% 8.71/6.67 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB110) <=> (~((~v39(constB110)) | (~v9(constB110)))))),
% 8.71/6.67 inference(quant_inst,[status(thm)],[])).
% 8.71/6.67 tff(28120,plain,
% 8.71/6.67 (v197(constB110) <=> (~((~v39(constB110)) | (~v9(constB110))))),
% 8.71/6.67 inference(unit_resolution,[status(thm)],[28119, 120])).
% 8.71/6.67 tff(28121,plain,
% 8.71/6.67 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB110)) <=> v1(constB110))),
% 8.71/6.67 inference(quant_inst,[status(thm)],[])).
% 8.71/6.67 tff(28122,plain,
% 8.71/6.67 ((~v39(constB110)) <=> v1(constB110)),
% 8.71/6.67 inference(unit_resolution,[status(thm)],[28121, 129])).
% 8.71/6.67 tff(28123,plain,
% 8.71/6.67 ((~((~v39(constB110)) <=> v1(constB110))) | (~v39(constB110)) | (~v1(constB110))),
% 8.71/6.67 inference(tautology,[status(thm)],[])).
% 8.71/6.67 tff(28124,plain,
% 8.71/6.67 ((~((~v39(constB110)) <=> v1(constB110))) | (~v39(constB110))),
% 8.71/6.67 inference(unit_resolution,[status(thm)],[28123, 13725])).
% 8.71/6.67 tff(28125,plain,
% 8.71/6.67 (~v39(constB110)),
% 8.71/6.67 inference(unit_resolution,[status(thm)],[28124, 28122])).
% 8.71/6.67 tff(28126,plain,
% 8.71/6.67 (((~v39(constB110)) | (~v9(constB110))) | v39(constB110)),
% 8.71/6.67 inference(tautology,[status(thm)],[])).
% 8.71/6.67 tff(28127,plain,
% 8.71/6.67 ((~v39(constB110)) | (~v9(constB110))),
% 8.71/6.67 inference(unit_resolution,[status(thm)],[28126, 28125])).
% 8.71/6.67 tff(28128,plain,
% 8.71/6.67 ((~(v197(constB110) <=> (~((~v39(constB110)) | (~v9(constB110)))))) | (~v197(constB110)) | (~((~v39(constB110)) | (~v9(constB110))))),
% 8.71/6.67 inference(tautology,[status(thm)],[])).
% 8.71/6.67 tff(28129,plain,
% 8.71/6.67 ((~(v197(constB110) <=> (~((~v39(constB110)) | (~v9(constB110)))))) | (~v197(constB110))),
% 8.71/6.67 inference(unit_resolution,[status(thm)],[28128, 28127])).
% 8.71/6.67 tff(28130,plain,
% 8.71/6.67 (~v197(constB110)),
% 8.71/6.67 inference(unit_resolution,[status(thm)],[28129, 28120])).
% 8.71/6.67 tff(28131,plain,
% 8.71/6.67 (((~v197(constB110)) | (~v201(constB110))) | v197(constB110)),
% 8.71/6.67 inference(tautology,[status(thm)],[])).
% 8.71/6.67 tff(28132,plain,
% 8.71/6.67 ((~v197(constB110)) | (~v201(constB110))),
% 8.71/6.67 inference(unit_resolution,[status(thm)],[28131, 28130])).
% 8.71/6.67 tff(28133,plain,
% 8.71/6.67 ((~(v200(constB110) <=> (~((~v197(constB110)) | (~v201(constB110)))))) | (~v200(constB110)) | (~((~v197(constB110)) | (~v201(constB110))))),
% 8.71/6.67 inference(tautology,[status(thm)],[])).
% 8.71/6.67 tff(28134,plain,
% 8.71/6.67 ((~(v200(constB110) <=> (~((~v197(constB110)) | (~v201(constB110)))))) | (~v200(constB110))),
% 8.71/6.67 inference(unit_resolution,[status(thm)],[28133, 28132])).
% 8.71/6.67 tff(28135,plain,
% 8.71/6.67 (~v200(constB110)),
% 8.71/6.67 inference(unit_resolution,[status(thm)],[28134, 28118])).
% 8.71/6.67 tff(28136,plain,
% 8.71/6.67 (((~v199(constB110)) | (~v200(constB110))) | v200(constB110)),
% 8.71/6.67 inference(tautology,[status(thm)],[])).
% 8.71/6.67 tff(28137,plain,
% 8.71/6.67 ((~v199(constB110)) | (~v200(constB110))),
% 8.71/6.67 inference(unit_resolution,[status(thm)],[28136, 28135])).
% 8.71/6.67 tff(28138,plain,
% 8.71/6.67 ((~(v198(constB110) <=> (~((~v199(constB110)) | (~v200(constB110)))))) | (~v198(constB110)) | (~((~v199(constB110)) | (~v200(constB110))))),
% 8.71/6.67 inference(tautology,[status(thm)],[])).
% 8.71/6.67 tff(28139,plain,
% 8.71/6.67 (~v198(constB110)),
% 8.71/6.67 inference(unit_resolution,[status(thm)],[28138, 28137, 28116])).
% 8.71/6.67 tff(28140,plain,
% 8.71/6.67 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB110) <=> (~((~v157(constB110)) | (~v195(constB110)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB110) <=> (~((~v157(constB110)) | (~v195(constB110))))))),
% 8.71/6.67 inference(rewrite,[status(thm)],[])).
% 8.71/6.67 tff(28141,plain,
% 8.71/6.67 ((v194(constB110) <=> (~((~v195(constB110)) | (~v157(constB110))))) <=> (v194(constB110) <=> (~((~v157(constB110)) | (~v195(constB110)))))),
% 8.71/6.67 inference(rewrite,[status(thm)],[])).
% 8.71/6.67 tff(28142,plain,
% 8.71/6.67 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB110) <=> (~((~v195(constB110)) | (~v157(constB110)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB110) <=> (~((~v157(constB110)) | (~v195(constB110))))))),
% 8.71/6.67 inference(monotonicity,[status(thm)],[28141])).
% 8.71/6.67 tff(28143,plain,
% 8.71/6.67 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB110) <=> (~((~v195(constB110)) | (~v157(constB110)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB110) <=> (~((~v157(constB110)) | (~v195(constB110))))))),
% 8.71/6.67 inference(transitivity,[status(thm)],[28142, 28140])).
% 8.71/6.67 tff(28144,plain,
% 8.71/6.67 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB110) <=> (~((~v195(constB110)) | (~v157(constB110)))))),
% 8.71/6.67 inference(quant_inst,[status(thm)],[])).
% 8.71/6.67 tff(28145,plain,
% 8.71/6.67 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB110) <=> (~((~v157(constB110)) | (~v195(constB110)))))),
% 8.71/6.67 inference(modus_ponens,[status(thm)],[28144, 28143])).
% 8.71/6.67 tff(28146,plain,
% 8.71/6.67 (v194(constB110) <=> (~((~v157(constB110)) | (~v195(constB110))))),
% 8.71/6.67 inference(unit_resolution,[status(thm)],[28145, 161])).
% 8.71/6.67 tff(28147,plain,
% 8.71/6.67 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB110) <=> v193(constB110))),
% 8.71/6.67 inference(quant_inst,[status(thm)],[])).
% 8.71/6.67 tff(28148,plain,
% 8.71/6.67 (v157(constB110) <=> v193(constB110)),
% 8.71/6.67 inference(unit_resolution,[status(thm)],[28147, 13])).
% 8.71/6.67 tff(28149,plain,
% 8.71/6.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB109, constB110)) | (v193(constB110) <=> v191(constB109)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB109, constB110)) | (v193(constB110) <=> v191(constB109)))),
% 8.71/6.67 inference(rewrite,[status(thm)],[])).
% 8.71/6.67 tff(28150,plain,
% 8.71/6.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB109, constB110)) | (v193(constB110) <=> v191(constB109)))),
% 8.71/6.67 inference(quant_inst,[status(thm)],[])).
% 8.71/6.67 tff(28151,plain,
% 8.71/6.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB109, constB110)) | (v193(constB110) <=> v191(constB109))),
% 8.71/6.67 inference(modus_ponens,[status(thm)],[28150, 28149])).
% 8.71/6.67 tff(28152,plain,
% 8.71/6.67 (v193(constB110) <=> v191(constB109)),
% 8.71/6.67 inference(unit_resolution,[status(thm)],[28151, 10526, 70])).
% 8.71/6.67 tff(28153,plain,
% 8.71/6.67 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB109) <=> (v194(constB109) | v198(constB109)))),
% 8.71/6.67 inference(quant_inst,[status(thm)],[])).
% 8.71/6.67 tff(28154,plain,
% 8.71/6.67 (v191(constB109) <=> (v194(constB109) | v198(constB109))),
% 8.71/6.67 inference(unit_resolution,[status(thm)],[28153, 84])).
% 8.71/6.67 tff(28155,plain,
% 8.71/6.67 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB109) <=> (~((~v157(constB109)) | (~v195(constB109)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB109) <=> (~((~v157(constB109)) | (~v195(constB109))))))),
% 8.71/6.67 inference(rewrite,[status(thm)],[])).
% 8.71/6.67 tff(28156,plain,
% 8.71/6.67 ((v194(constB109) <=> (~((~v195(constB109)) | (~v157(constB109))))) <=> (v194(constB109) <=> (~((~v157(constB109)) | (~v195(constB109)))))),
% 8.71/6.67 inference(rewrite,[status(thm)],[])).
% 8.71/6.67 tff(28157,plain,
% 8.71/6.67 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB109) <=> (~((~v195(constB109)) | (~v157(constB109)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB109) <=> (~((~v157(constB109)) | (~v195(constB109))))))),
% 8.71/6.67 inference(monotonicity,[status(thm)],[28156])).
% 8.71/6.67 tff(28158,plain,
% 8.71/6.67 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB109) <=> (~((~v195(constB109)) | (~v157(constB109)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB109) <=> (~((~v157(constB109)) | (~v195(constB109))))))),
% 8.71/6.67 inference(transitivity,[status(thm)],[28157, 28155])).
% 8.71/6.67 tff(28159,plain,
% 8.71/6.67 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB109) <=> (~((~v195(constB109)) | (~v157(constB109)))))),
% 8.71/6.67 inference(quant_inst,[status(thm)],[])).
% 8.71/6.67 tff(28160,plain,
% 8.71/6.67 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB109) <=> (~((~v157(constB109)) | (~v195(constB109)))))),
% 8.71/6.67 inference(modus_ponens,[status(thm)],[28159, 28158])).
% 8.71/6.67 tff(28161,plain,
% 8.71/6.67 (v194(constB109) <=> (~((~v157(constB109)) | (~v195(constB109))))),
% 8.71/6.67 inference(unit_resolution,[status(thm)],[28160, 161])).
% 8.71/6.67 tff(28162,plain,
% 8.71/6.67 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB109)) <=> v196(constB109))),
% 8.71/6.67 inference(quant_inst,[status(thm)],[])).
% 8.71/6.67 tff(28163,plain,
% 8.71/6.67 ((~v195(constB109)) <=> v196(constB109)),
% 8.71/6.67 inference(unit_resolution,[status(thm)],[28162, 193])).
% 8.71/6.67 tff(28164,plain,
% 8.71/6.67 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB109) <=> (v197(constB109) | v26(constB109)))),
% 8.71/6.67 inference(quant_inst,[status(thm)],[])).
% 8.71/6.67 tff(28165,plain,
% 8.71/6.67 (v196(constB109) <=> (v197(constB109) | v26(constB109))),
% 8.71/6.67 inference(unit_resolution,[status(thm)],[28164, 202])).
% 8.71/6.67 tff(28166,plain,
% 8.71/6.67 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB109) <=> (~((~v39(constB109)) | (~v9(constB109)))))),
% 8.71/6.67 inference(quant_inst,[status(thm)],[])).
% 8.71/6.67 tff(28167,plain,
% 8.71/6.67 (v197(constB109) <=> (~((~v39(constB109)) | (~v9(constB109))))),
% 8.71/6.67 inference(unit_resolution,[status(thm)],[28166, 120])).
% 8.71/6.67 tff(28168,plain,
% 8.71/6.67 (((~![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)))),
% 8.71/6.67 inference(rewrite,[status(thm)],[])).
% 8.71/6.67 tff(28169,plain,
% 8.71/6.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB109, constB110)) | (v13(constB110) <=> v9(constB109)))),
% 8.71/6.67 inference(quant_inst,[status(thm)],[])).
% 8.71/6.67 tff(28170,plain,
% 8.71/6.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB109, constB110)) | (v13(constB110) <=> v9(constB109))),
% 8.71/6.67 inference(modus_ponens,[status(thm)],[28169, 28168])).
% 8.71/6.67 tff(28171,plain,
% 8.71/6.67 (v13(constB110) <=> v9(constB109)),
% 8.71/6.67 inference(unit_resolution,[status(thm)],[28170, 10526, 216])).
% 8.71/6.67 tff(28172,plain,
% 8.71/6.67 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB110) <=> v13(constB110))),
% 8.71/6.67 inference(quant_inst,[status(thm)],[])).
% 8.71/6.67 tff(28173,plain,
% 8.71/6.67 (v6(constB110) <=> v13(constB110)),
% 8.71/6.67 inference(unit_resolution,[status(thm)],[28172, 230])).
% 8.71/6.67 tff(28174,plain,
% 8.71/6.67 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB110)) <=> v6(constB110))),
% 8.71/6.67 inference(quant_inst,[status(thm)],[])).
% 8.71/6.67 tff(28175,plain,
% 8.71/6.67 ((~v21(constB110)) <=> v6(constB110)),
% 8.71/6.67 inference(unit_resolution,[status(thm)],[28174, 239])).
% 8.71/6.67 tff(28176,plain,
% 8.71/6.67 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB110) <=> (v20(constB110) | v21(constB110)))),
% 8.71/6.67 inference(quant_inst,[status(thm)],[])).
% 8.71/6.67 tff(28177,plain,
% 8.71/6.67 (v19(constB110) <=> (v20(constB110) | v21(constB110))),
% 8.71/6.67 inference(unit_resolution,[status(thm)],[28176, 248])).
% 8.71/6.67 tff(28178,plain,
% 8.71/6.67 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB110) <=> (~((~v19(constB110)) | (~v22(constB110)))))),
% 8.71/6.67 inference(quant_inst,[status(thm)],[])).
% 8.71/6.67 tff(28179,plain,
% 8.71/6.67 (v18(constB110) <=> (~((~v19(constB110)) | (~v22(constB110))))),
% 8.71/6.67 inference(unit_resolution,[status(thm)],[28178, 260])).
% 8.71/6.67 tff(28180,plain,
% 8.71/6.67 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB110)) <=> v18(constB110))),
% 8.71/6.67 inference(quant_inst,[status(thm)],[])).
% 8.71/6.67 tff(28181,plain,
% 8.71/6.67 ((~v4(constB110)) <=> v18(constB110)),
% 8.71/6.67 inference(unit_resolution,[status(thm)],[28180, 269])).
% 8.71/6.68 tff(28182,plain,
% 8.71/6.68 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB110)),
% 8.71/6.68 inference(quant_inst,[status(thm)],[])).
% 8.71/6.68 tff(28183,plain,
% 8.71/6.68 (v4(constB110)),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28182, 278])).
% 8.71/6.68 tff(28184,plain,
% 8.71/6.68 ((~((~v4(constB110)) <=> v18(constB110))) | (~v4(constB110)) | (~v18(constB110))),
% 8.71/6.68 inference(tautology,[status(thm)],[])).
% 8.71/6.68 tff(28185,plain,
% 8.71/6.68 (~v18(constB110)),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28184, 28183, 28181])).
% 8.71/6.68 tff(28186,plain,
% 8.71/6.68 ((~(v18(constB110) <=> (~((~v19(constB110)) | (~v22(constB110)))))) | v18(constB110) | ((~v19(constB110)) | (~v22(constB110)))),
% 8.71/6.68 inference(tautology,[status(thm)],[])).
% 8.71/6.68 tff(28187,plain,
% 8.71/6.68 ((~v19(constB110)) | (~v22(constB110))),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28186, 28185, 28179])).
% 8.71/6.68 tff(28188,plain,
% 8.71/6.68 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB110) <=> (v1(constB110) | v6(constB110)))),
% 8.71/6.68 inference(quant_inst,[status(thm)],[])).
% 8.71/6.68 tff(28189,plain,
% 8.71/6.68 (v22(constB110) <=> (v1(constB110) | v6(constB110))),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28188, 291])).
% 8.71/6.68 tff(28190,plain,
% 8.71/6.68 ((v1(constB110) | v6(constB110)) | (~v1(constB110))),
% 8.71/6.68 inference(tautology,[status(thm)],[])).
% 8.71/6.68 tff(28191,plain,
% 8.71/6.68 (v1(constB110) | v6(constB110)),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28190, 13725])).
% 8.71/6.68 tff(28192,plain,
% 8.71/6.68 ((~(v22(constB110) <=> (v1(constB110) | v6(constB110)))) | v22(constB110) | (~(v1(constB110) | v6(constB110)))),
% 8.71/6.68 inference(tautology,[status(thm)],[])).
% 8.71/6.68 tff(28193,plain,
% 8.71/6.68 ((~(v22(constB110) <=> (v1(constB110) | v6(constB110)))) | v22(constB110)),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28192, 28191])).
% 8.71/6.68 tff(28194,plain,
% 8.71/6.68 (v22(constB110)),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28193, 28189])).
% 8.71/6.68 tff(28195,plain,
% 8.71/6.68 ((~((~v19(constB110)) | (~v22(constB110)))) | (~v19(constB110)) | (~v22(constB110))),
% 8.71/6.68 inference(tautology,[status(thm)],[])).
% 8.71/6.68 tff(28196,plain,
% 8.71/6.68 ((~((~v19(constB110)) | (~v22(constB110)))) | (~v19(constB110))),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28195, 28194])).
% 8.71/6.68 tff(28197,plain,
% 8.71/6.68 (~v19(constB110)),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28196, 28187])).
% 8.71/6.68 tff(28198,plain,
% 8.71/6.68 ((~(v19(constB110) <=> (v20(constB110) | v21(constB110)))) | v19(constB110) | (~(v20(constB110) | v21(constB110)))),
% 8.71/6.68 inference(tautology,[status(thm)],[])).
% 8.71/6.68 tff(28199,plain,
% 8.71/6.68 (~(v20(constB110) | v21(constB110))),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28198, 28197, 28177])).
% 8.71/6.68 tff(28200,plain,
% 8.71/6.68 ((v20(constB110) | v21(constB110)) | (~v21(constB110))),
% 8.71/6.68 inference(tautology,[status(thm)],[])).
% 8.71/6.68 tff(28201,plain,
% 8.71/6.68 (~v21(constB110)),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28200, 28199])).
% 8.71/6.68 tff(28202,plain,
% 8.71/6.68 ((~((~v21(constB110)) <=> v6(constB110))) | v21(constB110) | v6(constB110)),
% 8.71/6.68 inference(tautology,[status(thm)],[])).
% 8.71/6.68 tff(28203,plain,
% 8.71/6.68 (v6(constB110)),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28202, 28201, 28175])).
% 8.71/6.68 tff(28204,plain,
% 8.71/6.68 ((~(v6(constB110) <=> v13(constB110))) | (~v6(constB110)) | v13(constB110)),
% 8.71/6.68 inference(tautology,[status(thm)],[])).
% 8.71/6.68 tff(28205,plain,
% 8.71/6.68 (v13(constB110)),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28204, 28203, 28173])).
% 8.71/6.68 tff(28206,plain,
% 8.71/6.68 ((~(v13(constB110) <=> v9(constB109))) | (~v13(constB110)) | v9(constB109)),
% 8.71/6.68 inference(tautology,[status(thm)],[])).
% 8.71/6.68 tff(28207,plain,
% 8.71/6.68 (v9(constB109)),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28206, 28205, 28171])).
% 8.71/6.68 tff(28208,plain,
% 8.71/6.68 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB109)) <=> v1(constB109))),
% 8.71/6.68 inference(quant_inst,[status(thm)],[])).
% 8.71/6.68 tff(28209,plain,
% 8.71/6.68 ((~v39(constB109)) <=> v1(constB109)),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28208, 129])).
% 8.71/6.68 tff(28210,plain,
% 8.71/6.68 ((~((~v39(constB109)) <=> v1(constB109))) | v39(constB109) | v1(constB109)),
% 8.71/6.68 inference(tautology,[status(thm)],[])).
% 8.71/6.68 tff(28211,plain,
% 8.71/6.68 ((~((~v39(constB109)) <=> v1(constB109))) | v39(constB109)),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28210, 10570])).
% 8.71/6.68 tff(28212,plain,
% 8.71/6.68 (v39(constB109)),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28211, 28209])).
% 8.71/6.68 tff(28213,plain,
% 8.71/6.68 ((~((~v39(constB109)) | (~v9(constB109)))) | (~v39(constB109)) | (~v9(constB109))),
% 8.71/6.68 inference(tautology,[status(thm)],[])).
% 8.71/6.68 tff(28214,plain,
% 8.71/6.68 ((~((~v39(constB109)) | (~v9(constB109)))) | (~v9(constB109))),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28213, 28212])).
% 8.71/6.68 tff(28215,plain,
% 8.71/6.68 (~((~v39(constB109)) | (~v9(constB109)))),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28214, 28207])).
% 8.71/6.68 tff(28216,plain,
% 8.71/6.68 ((~(v197(constB109) <=> (~((~v39(constB109)) | (~v9(constB109)))))) | v197(constB109) | ((~v39(constB109)) | (~v9(constB109)))),
% 8.71/6.68 inference(tautology,[status(thm)],[])).
% 8.71/6.68 tff(28217,plain,
% 8.71/6.68 (v197(constB109)),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28216, 28215, 28167])).
% 8.71/6.68 tff(28218,plain,
% 8.71/6.68 ((v197(constB109) | v26(constB109)) | (~v197(constB109))),
% 8.71/6.68 inference(tautology,[status(thm)],[])).
% 8.71/6.68 tff(28219,plain,
% 8.71/6.68 (v197(constB109) | v26(constB109)),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28218, 28217])).
% 8.71/6.68 tff(28220,plain,
% 8.71/6.68 ((~(v196(constB109) <=> (v197(constB109) | v26(constB109)))) | v196(constB109) | (~(v197(constB109) | v26(constB109)))),
% 8.71/6.68 inference(tautology,[status(thm)],[])).
% 8.71/6.68 tff(28221,plain,
% 8.71/6.68 (v196(constB109)),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28220, 28219, 28165])).
% 8.71/6.68 tff(28222,plain,
% 8.71/6.68 ((~((~v195(constB109)) <=> v196(constB109))) | (~v195(constB109)) | (~v196(constB109))),
% 8.71/6.68 inference(tautology,[status(thm)],[])).
% 8.71/6.68 tff(28223,plain,
% 8.71/6.68 (~v195(constB109)),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28222, 28221, 28163])).
% 8.71/6.68 tff(28224,plain,
% 8.71/6.68 (((~v157(constB109)) | (~v195(constB109))) | v195(constB109)),
% 8.71/6.68 inference(tautology,[status(thm)],[])).
% 8.71/6.68 tff(28225,plain,
% 8.71/6.68 ((~v157(constB109)) | (~v195(constB109))),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28224, 28223])).
% 8.71/6.68 tff(28226,plain,
% 8.71/6.68 ((~(v194(constB109) <=> (~((~v157(constB109)) | (~v195(constB109)))))) | (~v194(constB109)) | (~((~v157(constB109)) | (~v195(constB109))))),
% 8.71/6.68 inference(tautology,[status(thm)],[])).
% 8.71/6.68 tff(28227,plain,
% 8.71/6.68 (~v194(constB109)),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28226, 28225, 28161])).
% 8.71/6.68 tff(28228,plain,
% 8.71/6.68 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB109) <=> (~((~v199(constB109)) | (~v200(constB109)))))),
% 8.71/6.68 inference(quant_inst,[status(thm)],[])).
% 8.71/6.68 tff(28229,plain,
% 8.71/6.68 (v198(constB109) <=> (~((~v199(constB109)) | (~v200(constB109))))),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28228, 96])).
% 8.71/6.68 tff(28230,plain,
% 8.71/6.68 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB109) <=> (~((~v197(constB109)) | (~v201(constB109)))))),
% 8.71/6.68 inference(quant_inst,[status(thm)],[])).
% 8.71/6.68 tff(28231,plain,
% 8.71/6.68 (v200(constB109) <=> (~((~v197(constB109)) | (~v201(constB109))))),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28230, 108])).
% 8.71/6.68 tff(28232,plain,
% 8.71/6.68 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB109) <=> (~((~v159(constB109)) | (~v161(constB109)))))),
% 8.71/6.68 inference(quant_inst,[status(thm)],[])).
% 8.71/6.68 tff(28233,plain,
% 8.71/6.68 (v201(constB109) <=> (~((~v159(constB109)) | (~v161(constB109))))),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28232, 348])).
% 8.71/6.68 tff(28234,plain,
% 8.71/6.68 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB109) <=> v163(constB109))),
% 8.71/6.68 inference(quant_inst,[status(thm)],[])).
% 8.71/6.68 tff(28235,plain,
% 8.71/6.68 (v161(constB109) <=> v163(constB109)),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28234, 357])).
% 8.71/6.68 tff(28236,plain,
% 8.71/6.68 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB109) <=> (v145(constB109) | v167(constB109)))),
% 8.71/6.68 inference(quant_inst,[status(thm)],[])).
% 8.71/6.68 tff(28237,plain,
% 8.71/6.68 (v166(constB109) <=> (v145(constB109) | v167(constB109))),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28236, 369])).
% 8.71/6.68 tff(28238,plain,
% 8.71/6.68 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB109) <=> (v142(constB109) | v168(constB109)))),
% 8.71/6.68 inference(quant_inst,[status(thm)],[])).
% 8.71/6.68 tff(28239,plain,
% 8.71/6.68 (v167(constB109) <=> (v142(constB109) | v168(constB109))),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28238, 381])).
% 8.71/6.68 tff(28240,plain,
% 8.71/6.68 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB109) <=> (v143(constB109) | v144(constB109)))),
% 8.71/6.68 inference(quant_inst,[status(thm)],[])).
% 8.71/6.68 tff(28241,plain,
% 8.71/6.68 (v142(constB109) <=> (v143(constB109) | v144(constB109))),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28240, 10332])).
% 8.71/6.68 tff(28242,plain,
% 8.71/6.68 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB109) <=> (~((~v88(constB109, bitIndex1)) | v88(constB109, bitIndex2) | v88(constB109, bitIndex0))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB109) <=> (~((~v88(constB109, bitIndex1)) | v88(constB109, bitIndex2) | v88(constB109, bitIndex0)))))),
% 8.71/6.68 inference(rewrite,[status(thm)],[])).
% 8.71/6.68 tff(28243,plain,
% 8.71/6.68 ((v143(constB109) <=> (~(v88(constB109, bitIndex0) | v88(constB109, bitIndex2) | (~v88(constB109, bitIndex1))))) <=> (v143(constB109) <=> (~((~v88(constB109, bitIndex1)) | v88(constB109, bitIndex2) | v88(constB109, bitIndex0))))),
% 8.71/6.68 inference(rewrite,[status(thm)],[])).
% 8.71/6.68 tff(28244,plain,
% 8.71/6.68 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB109) <=> (~(v88(constB109, bitIndex0) | v88(constB109, bitIndex2) | (~v88(constB109, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB109) <=> (~((~v88(constB109, bitIndex1)) | v88(constB109, bitIndex2) | v88(constB109, bitIndex0)))))),
% 8.71/6.68 inference(monotonicity,[status(thm)],[28243])).
% 8.71/6.68 tff(28245,plain,
% 8.71/6.68 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB109) <=> (~(v88(constB109, bitIndex0) | v88(constB109, bitIndex2) | (~v88(constB109, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB109) <=> (~((~v88(constB109, bitIndex1)) | v88(constB109, bitIndex2) | v88(constB109, bitIndex0)))))),
% 8.71/6.68 inference(transitivity,[status(thm)],[28244, 28242])).
% 8.71/6.68 tff(28246,plain,
% 8.71/6.68 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB109) <=> (~(v88(constB109, bitIndex0) | v88(constB109, bitIndex2) | (~v88(constB109, bitIndex1)))))),
% 8.71/6.68 inference(quant_inst,[status(thm)],[])).
% 8.71/6.68 tff(28247,plain,
% 8.71/6.68 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB109) <=> (~((~v88(constB109, bitIndex1)) | v88(constB109, bitIndex2) | v88(constB109, bitIndex0))))),
% 8.71/6.68 inference(modus_ponens,[status(thm)],[28246, 28245])).
% 8.71/6.68 tff(28248,plain,
% 8.71/6.68 (v143(constB109) <=> (~((~v88(constB109, bitIndex1)) | v88(constB109, bitIndex2) | v88(constB109, bitIndex0)))),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28247, 14770])).
% 8.71/6.68 tff(28249,plain,
% 8.71/6.68 ((~![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))) | (~(((~v88(constB109, bitIndex1)) <=> v90(constB109, bitIndex1)) | ((~v88(constB109, bitIndex2)) <=> v90(constB109, bitIndex2)) | ((~v88(constB109, bitIndex0)) <=> v90(constB109, bitIndex0))))),
% 8.71/6.68 inference(quant_inst,[status(thm)],[])).
% 8.71/6.68 tff(28250,plain,
% 8.71/6.68 (~(((~v88(constB109, bitIndex1)) <=> v90(constB109, bitIndex1)) | ((~v88(constB109, bitIndex2)) <=> v90(constB109, bitIndex2)) | ((~v88(constB109, bitIndex0)) <=> v90(constB109, bitIndex0)))),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28249, 428])).
% 8.71/6.68 tff(28251,plain,
% 8.71/6.68 ((((~v88(constB109, bitIndex1)) <=> v90(constB109, bitIndex1)) | ((~v88(constB109, bitIndex2)) <=> v90(constB109, bitIndex2)) | ((~v88(constB109, bitIndex0)) <=> v90(constB109, bitIndex0))) | (~((~v88(constB109, bitIndex2)) <=> v90(constB109, bitIndex2)))),
% 8.71/6.68 inference(tautology,[status(thm)],[])).
% 8.71/6.68 tff(28252,plain,
% 8.71/6.68 (~((~v88(constB109, bitIndex2)) <=> v90(constB109, bitIndex2))),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28251, 28250])).
% 8.71/6.68 tff(28253,plain,
% 8.71/6.68 (((~v88(constB109, bitIndex2)) <=> v90(constB109, bitIndex2)) | (~v88(constB109, bitIndex2)) | v90(constB109, bitIndex2)),
% 8.71/6.68 inference(tautology,[status(thm)],[])).
% 8.71/6.68 tff(28254,plain,
% 8.71/6.68 (~v88(constB109, bitIndex2)),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28253, 13647, 28252])).
% 8.71/6.68 tff(28255,plain,
% 8.71/6.68 ((((~v88(constB109, bitIndex1)) <=> v90(constB109, bitIndex1)) | ((~v88(constB109, bitIndex2)) <=> v90(constB109, bitIndex2)) | ((~v88(constB109, bitIndex0)) <=> v90(constB109, bitIndex0))) | (~((~v88(constB109, bitIndex0)) <=> v90(constB109, bitIndex0)))),
% 8.71/6.68 inference(tautology,[status(thm)],[])).
% 8.71/6.68 tff(28256,plain,
% 8.71/6.68 (~((~v88(constB109, bitIndex0)) <=> v90(constB109, bitIndex0))),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28255, 28250])).
% 8.71/6.68 tff(28257,plain,
% 8.71/6.68 (((~v88(constB109, bitIndex0)) <=> v90(constB109, bitIndex0)) | (~v88(constB109, bitIndex0)) | v90(constB109, bitIndex0)),
% 8.71/6.68 inference(tautology,[status(thm)],[])).
% 8.71/6.68 tff(28258,plain,
% 8.71/6.68 (~v88(constB109, bitIndex0)),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28257, 13665, 28256])).
% 8.71/6.68 tff(28259,plain,
% 8.71/6.68 ((((~v88(constB109, bitIndex1)) <=> v90(constB109, bitIndex1)) | ((~v88(constB109, bitIndex2)) <=> v90(constB109, bitIndex2)) | ((~v88(constB109, bitIndex0)) <=> v90(constB109, bitIndex0))) | (~((~v88(constB109, bitIndex1)) <=> v90(constB109, bitIndex1)))),
% 8.71/6.68 inference(tautology,[status(thm)],[])).
% 8.71/6.68 tff(28260,plain,
% 8.71/6.68 (~((~v88(constB109, bitIndex1)) <=> v90(constB109, bitIndex1))),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28259, 28250])).
% 8.71/6.68 tff(28261,plain,
% 8.71/6.68 (((~v88(constB109, bitIndex1)) <=> v90(constB109, bitIndex1)) | v88(constB109, bitIndex1) | (~v90(constB109, bitIndex1))),
% 8.71/6.68 inference(tautology,[status(thm)],[])).
% 8.71/6.68 tff(28262,plain,
% 8.71/6.68 (v88(constB109, bitIndex1)),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28261, 13683, 28260])).
% 8.71/6.68 tff(28263,plain,
% 8.71/6.68 ((~((~v88(constB109, bitIndex1)) | v88(constB109, bitIndex2) | v88(constB109, bitIndex0))) | (~v88(constB109, bitIndex1)) | v88(constB109, bitIndex2) | v88(constB109, bitIndex0)),
% 8.71/6.68 inference(tautology,[status(thm)],[])).
% 8.71/6.68 tff(28264,plain,
% 8.71/6.68 (~((~v88(constB109, bitIndex1)) | v88(constB109, bitIndex2) | v88(constB109, bitIndex0))),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28263, 28262, 28258, 28254])).
% 8.71/6.68 tff(28265,plain,
% 8.71/6.68 ((~(v143(constB109) <=> (~((~v88(constB109, bitIndex1)) | v88(constB109, bitIndex2) | v88(constB109, bitIndex0))))) | v143(constB109) | ((~v88(constB109, bitIndex1)) | v88(constB109, bitIndex2) | v88(constB109, bitIndex0))),
% 8.71/6.68 inference(tautology,[status(thm)],[])).
% 8.71/6.68 tff(28266,plain,
% 8.71/6.68 (v143(constB109)),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28265, 28264, 28248])).
% 8.71/6.68 tff(28267,plain,
% 8.71/6.68 ((v143(constB109) | v144(constB109)) | (~v143(constB109))),
% 8.71/6.68 inference(tautology,[status(thm)],[])).
% 8.71/6.68 tff(28268,plain,
% 8.71/6.68 (v143(constB109) | v144(constB109)),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28267, 28266])).
% 8.71/6.68 tff(28269,plain,
% 8.71/6.68 ((~(v142(constB109) <=> (v143(constB109) | v144(constB109)))) | v142(constB109) | (~(v143(constB109) | v144(constB109)))),
% 8.71/6.68 inference(tautology,[status(thm)],[])).
% 8.71/6.68 tff(28270,plain,
% 8.71/6.68 (v142(constB109)),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28269, 28268, 28241])).
% 8.71/6.68 tff(28271,plain,
% 8.71/6.68 ((v142(constB109) | v168(constB109)) | (~v142(constB109))),
% 8.71/6.68 inference(tautology,[status(thm)],[])).
% 8.71/6.68 tff(28272,plain,
% 8.71/6.68 (v142(constB109) | v168(constB109)),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28271, 28270])).
% 8.71/6.68 tff(28273,plain,
% 8.71/6.68 ((~(v167(constB109) <=> (v142(constB109) | v168(constB109)))) | v167(constB109) | (~(v142(constB109) | v168(constB109)))),
% 8.71/6.68 inference(tautology,[status(thm)],[])).
% 8.71/6.68 tff(28274,plain,
% 8.71/6.68 ((~(v167(constB109) <=> (v142(constB109) | v168(constB109)))) | v167(constB109)),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28273, 28272])).
% 8.71/6.68 tff(28275,plain,
% 8.71/6.68 (v167(constB109)),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28274, 28239])).
% 8.71/6.68 tff(28276,plain,
% 8.71/6.68 ((v145(constB109) | v167(constB109)) | (~v167(constB109))),
% 8.71/6.68 inference(tautology,[status(thm)],[])).
% 8.71/6.68 tff(28277,plain,
% 8.71/6.68 (v145(constB109) | v167(constB109)),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28276, 28275])).
% 8.71/6.68 tff(28278,plain,
% 8.71/6.68 ((~(v166(constB109) <=> (v145(constB109) | v167(constB109)))) | v166(constB109) | (~(v145(constB109) | v167(constB109)))),
% 8.71/6.68 inference(tautology,[status(thm)],[])).
% 8.71/6.68 tff(28279,plain,
% 8.71/6.68 (v166(constB109)),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28278, 28277, 28237])).
% 8.71/6.68 tff(28280,plain,
% 8.71/6.68 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB109)) | (v163(constB109) <=> v170(constB109)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB109)) | (v163(constB109) <=> v170(constB109)))),
% 8.71/6.68 inference(rewrite,[status(thm)],[])).
% 8.71/6.68 tff(28281,plain,
% 8.71/6.68 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB109)) | (v163(constB109) <=> v170(constB109)))),
% 8.71/6.68 inference(quant_inst,[status(thm)],[])).
% 8.71/6.68 tff(28282,plain,
% 8.71/6.68 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB109)) | (v163(constB109) <=> v170(constB109))),
% 8.71/6.68 inference(modus_ponens,[status(thm)],[28281, 28280])).
% 8.71/6.68 tff(28283,plain,
% 8.71/6.68 ((~v166(constB109)) | (v163(constB109) <=> v170(constB109))),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28282, 9851])).
% 8.71/6.68 tff(28284,plain,
% 8.71/6.68 (v163(constB109) <=> v170(constB109)),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28283, 28279])).
% 8.71/6.68 tff(28285,plain,
% 8.71/6.68 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB109) <=> (v142(constB109) | v150(constB109)))),
% 8.71/6.68 inference(quant_inst,[status(thm)],[])).
% 8.71/6.68 tff(28286,plain,
% 8.71/6.68 (v171(constB109) <=> (v142(constB109) | v150(constB109))),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28285, 9866])).
% 8.71/6.68 tff(28287,plain,
% 8.71/6.68 ((v142(constB109) | v150(constB109)) | (~v142(constB109))),
% 8.71/6.68 inference(tautology,[status(thm)],[])).
% 8.71/6.68 tff(28288,plain,
% 8.71/6.68 (v142(constB109) | v150(constB109)),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28287, 28270])).
% 8.71/6.68 tff(28289,plain,
% 8.71/6.68 ((~(v171(constB109) <=> (v142(constB109) | v150(constB109)))) | v171(constB109) | (~(v142(constB109) | v150(constB109)))),
% 8.71/6.68 inference(tautology,[status(thm)],[])).
% 8.71/6.68 tff(28290,plain,
% 8.71/6.68 ((~(v171(constB109) <=> (v142(constB109) | v150(constB109)))) | v171(constB109)),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28289, 28288])).
% 8.71/6.68 tff(28291,plain,
% 8.71/6.68 (v171(constB109)),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28290, 28286])).
% 8.71/6.68 tff(28292,plain,
% 8.71/6.68 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB109)) | (~v171(constB109)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB109)) | (~v171(constB109)))),
% 8.71/6.68 inference(rewrite,[status(thm)],[])).
% 8.71/6.68 tff(28293,plain,
% 8.71/6.68 (((~v171(constB109)) | (~v170(constB109))) <=> ((~v170(constB109)) | (~v171(constB109)))),
% 8.71/6.68 inference(rewrite,[status(thm)],[])).
% 8.71/6.68 tff(28294,plain,
% 8.71/6.68 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB109)) | (~v170(constB109)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB109)) | (~v171(constB109))))),
% 8.71/6.68 inference(monotonicity,[status(thm)],[28293])).
% 8.71/6.68 tff(28295,plain,
% 8.71/6.68 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB109)) | (~v170(constB109)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB109)) | (~v171(constB109)))),
% 8.71/6.68 inference(transitivity,[status(thm)],[28294, 28292])).
% 8.71/6.68 tff(28296,plain,
% 8.71/6.68 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB109)) | (~v170(constB109)))),
% 8.71/6.68 inference(quant_inst,[status(thm)],[])).
% 8.71/6.68 tff(28297,plain,
% 8.71/6.68 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB109)) | (~v171(constB109))),
% 8.71/6.68 inference(modus_ponens,[status(thm)],[28296, 28295])).
% 8.71/6.68 tff(28298,plain,
% 8.71/6.68 (~v170(constB109)),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28297, 9899, 28291])).
% 8.71/6.68 tff(28299,plain,
% 8.71/6.68 ((~(v163(constB109) <=> v170(constB109))) | (~v163(constB109)) | v170(constB109)),
% 8.71/6.68 inference(tautology,[status(thm)],[])).
% 8.71/6.68 tff(28300,plain,
% 8.71/6.68 (~v163(constB109)),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28299, 28298, 28284])).
% 8.71/6.68 tff(28301,plain,
% 8.71/6.68 ((~(v161(constB109) <=> v163(constB109))) | (~v161(constB109)) | v163(constB109)),
% 8.71/6.68 inference(tautology,[status(thm)],[])).
% 8.71/6.68 tff(28302,plain,
% 8.71/6.68 (~v161(constB109)),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28301, 28300, 28235])).
% 8.71/6.68 tff(28303,plain,
% 8.71/6.68 (((~v159(constB109)) | (~v161(constB109))) | v161(constB109)),
% 8.71/6.68 inference(tautology,[status(thm)],[])).
% 8.71/6.68 tff(28304,plain,
% 8.71/6.68 ((~v159(constB109)) | (~v161(constB109))),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28303, 28302])).
% 8.71/6.68 tff(28305,plain,
% 8.71/6.68 ((~(v201(constB109) <=> (~((~v159(constB109)) | (~v161(constB109)))))) | (~v201(constB109)) | (~((~v159(constB109)) | (~v161(constB109))))),
% 8.71/6.68 inference(tautology,[status(thm)],[])).
% 8.71/6.68 tff(28306,plain,
% 8.71/6.68 (~v201(constB109)),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28305, 28304, 28233])).
% 8.71/6.68 tff(28307,plain,
% 8.71/6.68 (((~v197(constB109)) | (~v201(constB109))) | v201(constB109)),
% 8.71/6.68 inference(tautology,[status(thm)],[])).
% 8.71/6.68 tff(28308,plain,
% 8.71/6.68 ((~v197(constB109)) | (~v201(constB109))),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28307, 28306])).
% 8.71/6.68 tff(28309,plain,
% 8.71/6.68 ((~(v200(constB109) <=> (~((~v197(constB109)) | (~v201(constB109)))))) | (~v200(constB109)) | (~((~v197(constB109)) | (~v201(constB109))))),
% 8.71/6.68 inference(tautology,[status(thm)],[])).
% 8.71/6.68 tff(28310,plain,
% 8.71/6.68 (~v200(constB109)),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28309, 28308, 28231])).
% 8.71/6.68 tff(28311,plain,
% 8.71/6.68 (((~v199(constB109)) | (~v200(constB109))) | v200(constB109)),
% 8.71/6.68 inference(tautology,[status(thm)],[])).
% 8.71/6.68 tff(28312,plain,
% 8.71/6.68 ((~v199(constB109)) | (~v200(constB109))),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28311, 28310])).
% 8.71/6.68 tff(28313,plain,
% 8.71/6.68 ((~(v198(constB109) <=> (~((~v199(constB109)) | (~v200(constB109)))))) | (~v198(constB109)) | (~((~v199(constB109)) | (~v200(constB109))))),
% 8.71/6.68 inference(tautology,[status(thm)],[])).
% 8.71/6.68 tff(28314,plain,
% 8.71/6.68 (~v198(constB109)),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28313, 28312, 28229])).
% 8.71/6.68 tff(28315,plain,
% 8.71/6.68 ((~(v194(constB109) | v198(constB109))) | v194(constB109) | v198(constB109)),
% 8.71/6.68 inference(tautology,[status(thm)],[])).
% 8.71/6.68 tff(28316,plain,
% 8.71/6.68 (~(v194(constB109) | v198(constB109))),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28315, 28314, 28227])).
% 8.71/6.68 tff(28317,plain,
% 8.71/6.68 ((~(v191(constB109) <=> (v194(constB109) | v198(constB109)))) | (~v191(constB109)) | (v194(constB109) | v198(constB109))),
% 8.71/6.68 inference(tautology,[status(thm)],[])).
% 8.71/6.68 tff(28318,plain,
% 8.71/6.68 (~v191(constB109)),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28317, 28316, 28154])).
% 8.71/6.68 tff(28319,plain,
% 8.71/6.68 ((~(v193(constB110) <=> v191(constB109))) | (~v193(constB110)) | v191(constB109)),
% 8.71/6.68 inference(tautology,[status(thm)],[])).
% 8.71/6.68 tff(28320,plain,
% 8.71/6.68 (~v193(constB110)),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28319, 28318, 28152])).
% 8.71/6.68 tff(28321,plain,
% 8.71/6.68 ((~(v157(constB110) <=> v193(constB110))) | (~v157(constB110)) | v193(constB110)),
% 8.71/6.68 inference(tautology,[status(thm)],[])).
% 8.71/6.68 tff(28322,plain,
% 8.71/6.68 (~v157(constB110)),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28321, 28320, 28148])).
% 8.71/6.68 tff(28323,plain,
% 8.71/6.68 (((~v157(constB110)) | (~v195(constB110))) | v157(constB110)),
% 8.71/6.68 inference(tautology,[status(thm)],[])).
% 8.71/6.68 tff(28324,plain,
% 8.71/6.68 ((~v157(constB110)) | (~v195(constB110))),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28323, 28322])).
% 8.71/6.68 tff(28325,plain,
% 8.71/6.68 ((~(v194(constB110) <=> (~((~v157(constB110)) | (~v195(constB110)))))) | (~v194(constB110)) | (~((~v157(constB110)) | (~v195(constB110))))),
% 8.71/6.68 inference(tautology,[status(thm)],[])).
% 8.71/6.68 tff(28326,plain,
% 8.71/6.68 (~v194(constB110)),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28325, 28324, 28146])).
% 8.71/6.68 tff(28327,plain,
% 8.71/6.68 ((~(v194(constB110) | v198(constB110))) | v194(constB110) | v198(constB110)),
% 8.71/6.68 inference(tautology,[status(thm)],[])).
% 8.71/6.68 tff(28328,plain,
% 8.71/6.68 (~(v194(constB110) | v198(constB110))),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28327, 28326, 28139])).
% 8.71/6.68 tff(28329,plain,
% 8.71/6.68 ((~(v191(constB110) <=> (v194(constB110) | v198(constB110)))) | (~v191(constB110)) | (v194(constB110) | v198(constB110))),
% 8.71/6.68 inference(tautology,[status(thm)],[])).
% 8.71/6.68 tff(28330,plain,
% 8.71/6.68 (~v191(constB110)),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28329, 28328, 28114])).
% 8.71/6.68 tff(28331,plain,
% 8.71/6.68 ((~(v193(constB111) <=> v191(constB110))) | (~v193(constB111)) | v191(constB110)),
% 8.71/6.68 inference(tautology,[status(thm)],[])).
% 8.71/6.68 tff(28332,plain,
% 8.71/6.68 (~v193(constB111)),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28331, 28330, 28112])).
% 8.71/6.68 tff(28333,plain,
% 8.71/6.68 ($false),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28332, 28108])).
% 8.71/6.68 tff(28334,plain,(~(constB111 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.71/6.68 tff(28335,assumption,(constB65 = VarCurr!0), introduced(assumption)).
% 8.71/6.68 tff(28336,plain,
% 8.71/6.68 (v86(constB65) <=> v86(VarCurr!0)),
% 8.71/6.68 inference(monotonicity,[status(thm)],[28335])).
% 8.71/6.68 tff(28337,plain,
% 8.71/6.68 (v86(VarCurr!0) <=> v86(constB65)),
% 8.71/6.68 inference(symmetry,[status(thm)],[28336])).
% 8.71/6.68 tff(28338,plain,
% 8.71/6.68 ((~v86(VarCurr!0)) <=> (~v86(constB65))),
% 8.71/6.68 inference(monotonicity,[status(thm)],[28337])).
% 8.71/6.68 tff(28339,plain,
% 8.71/6.68 (~v86(constB65)),
% 8.71/6.68 inference(modus_ponens,[status(thm)],[14736, 28338])).
% 8.71/6.68 tff(28340,plain,
% 8.71/6.68 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB65) <=> (v136(constB65) | v145(constB65)))),
% 8.71/6.68 inference(quant_inst,[status(thm)],[])).
% 8.71/6.68 tff(28341,plain,
% 8.71/6.68 (v135(constB65) <=> (v136(constB65) | v145(constB65))),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28340, 14744])).
% 8.71/6.68 tff(28342,plain,
% 8.71/6.68 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB65) <=> (v137(constB65) | v142(constB65)))),
% 8.71/6.68 inference(quant_inst,[status(thm)],[])).
% 8.71/6.68 tff(28343,plain,
% 8.71/6.68 (v136(constB65) <=> (v137(constB65) | v142(constB65))),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28342, 14753])).
% 8.71/6.68 tff(28344,plain,
% 8.71/6.68 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB65) <=> (v143(constB65) | v144(constB65)))),
% 8.71/6.68 inference(quant_inst,[status(thm)],[])).
% 8.71/6.68 tff(28345,plain,
% 8.71/6.68 (v142(constB65) <=> (v143(constB65) | v144(constB65))),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28344, 10332])).
% 8.71/6.68 tff(28346,plain,
% 8.71/6.68 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB65) <=> (~((~v88(constB65, bitIndex1)) | (~v88(constB65, bitIndex2)) | v88(constB65, bitIndex0))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB65) <=> (~((~v88(constB65, bitIndex1)) | (~v88(constB65, bitIndex2)) | v88(constB65, bitIndex0)))))),
% 8.71/6.68 inference(rewrite,[status(thm)],[])).
% 8.71/6.68 tff(28347,plain,
% 8.71/6.68 ((v144(constB65) <=> (~(v88(constB65, bitIndex0) | (~v88(constB65, bitIndex1)) | (~v88(constB65, bitIndex2))))) <=> (v144(constB65) <=> (~((~v88(constB65, bitIndex1)) | (~v88(constB65, bitIndex2)) | v88(constB65, bitIndex0))))),
% 8.71/6.68 inference(rewrite,[status(thm)],[])).
% 8.71/6.68 tff(28348,plain,
% 8.71/6.68 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB65) <=> (~(v88(constB65, bitIndex0) | (~v88(constB65, bitIndex1)) | (~v88(constB65, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB65) <=> (~((~v88(constB65, bitIndex1)) | (~v88(constB65, bitIndex2)) | v88(constB65, bitIndex0)))))),
% 8.71/6.68 inference(monotonicity,[status(thm)],[28347])).
% 8.71/6.68 tff(28349,plain,
% 8.71/6.68 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB65) <=> (~(v88(constB65, bitIndex0) | (~v88(constB65, bitIndex1)) | (~v88(constB65, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB65) <=> (~((~v88(constB65, bitIndex1)) | (~v88(constB65, bitIndex2)) | v88(constB65, bitIndex0)))))),
% 8.71/6.68 inference(transitivity,[status(thm)],[28348, 28346])).
% 8.71/6.68 tff(28350,plain,
% 8.71/6.68 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB65) <=> (~(v88(constB65, bitIndex0) | (~v88(constB65, bitIndex1)) | (~v88(constB65, bitIndex2)))))),
% 8.71/6.68 inference(quant_inst,[status(thm)],[])).
% 8.71/6.68 tff(28351,plain,
% 8.71/6.68 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB65) <=> (~((~v88(constB65, bitIndex1)) | (~v88(constB65, bitIndex2)) | v88(constB65, bitIndex0))))),
% 8.71/6.68 inference(modus_ponens,[status(thm)],[28350, 28349])).
% 8.71/6.68 tff(28352,plain,
% 8.71/6.68 (v144(constB65) <=> (~((~v88(constB65, bitIndex1)) | (~v88(constB65, bitIndex2)) | v88(constB65, bitIndex0)))),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28351, 10347])).
% 8.71/6.68 tff(28353,plain,
% 8.71/6.68 ((~![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))) | (~(((~v88(constB65, bitIndex1)) <=> v90(constB65, bitIndex1)) | ((~v88(constB65, bitIndex2)) <=> v90(constB65, bitIndex2)) | ((~v88(constB65, bitIndex0)) <=> v90(constB65, bitIndex0))))),
% 8.71/6.68 inference(quant_inst,[status(thm)],[])).
% 8.71/6.68 tff(28354,plain,
% 8.71/6.68 (~(((~v88(constB65, bitIndex1)) <=> v90(constB65, bitIndex1)) | ((~v88(constB65, bitIndex2)) <=> v90(constB65, bitIndex2)) | ((~v88(constB65, bitIndex0)) <=> v90(constB65, bitIndex0)))),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28353, 428])).
% 8.71/6.68 tff(28355,plain,
% 8.71/6.68 ((((~v88(constB65, bitIndex1)) <=> v90(constB65, bitIndex1)) | ((~v88(constB65, bitIndex2)) <=> v90(constB65, bitIndex2)) | ((~v88(constB65, bitIndex0)) <=> v90(constB65, bitIndex0))) | (~((~v88(constB65, bitIndex2)) <=> v90(constB65, bitIndex2)))),
% 8.71/6.68 inference(tautology,[status(thm)],[])).
% 8.71/6.68 tff(28356,plain,
% 8.71/6.68 (~((~v88(constB65, bitIndex2)) <=> v90(constB65, bitIndex2))),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28355, 28354])).
% 8.71/6.68 tff(28357,plain,
% 8.71/6.68 (((~v88(constB65, bitIndex2)) <=> v90(constB65, bitIndex2)) | v88(constB65, bitIndex2) | (~v90(constB65, bitIndex2))),
% 8.71/6.68 inference(tautology,[status(thm)],[])).
% 8.71/6.68 tff(28358,plain,
% 8.71/6.68 (v88(constB65, bitIndex2)),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28357, 8471, 28356])).
% 8.71/6.68 tff(28359,plain,
% 8.71/6.68 ((((~v88(constB65, bitIndex1)) <=> v90(constB65, bitIndex1)) | ((~v88(constB65, bitIndex2)) <=> v90(constB65, bitIndex2)) | ((~v88(constB65, bitIndex0)) <=> v90(constB65, bitIndex0))) | (~((~v88(constB65, bitIndex0)) <=> v90(constB65, bitIndex0)))),
% 8.71/6.68 inference(tautology,[status(thm)],[])).
% 8.71/6.68 tff(28360,plain,
% 8.71/6.68 (~((~v88(constB65, bitIndex0)) <=> v90(constB65, bitIndex0))),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28359, 28354])).
% 8.71/6.68 tff(28361,plain,
% 8.71/6.68 (((~v88(constB65, bitIndex0)) <=> v90(constB65, bitIndex0)) | (~v88(constB65, bitIndex0)) | v90(constB65, bitIndex0)),
% 8.71/6.68 inference(tautology,[status(thm)],[])).
% 8.71/6.68 tff(28362,plain,
% 8.71/6.68 (~v88(constB65, bitIndex0)),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28361, 8622, 28360])).
% 8.71/6.68 tff(28363,plain,
% 8.71/6.68 ((((~v88(constB65, bitIndex1)) <=> v90(constB65, bitIndex1)) | ((~v88(constB65, bitIndex2)) <=> v90(constB65, bitIndex2)) | ((~v88(constB65, bitIndex0)) <=> v90(constB65, bitIndex0))) | (~((~v88(constB65, bitIndex1)) <=> v90(constB65, bitIndex1)))),
% 8.71/6.68 inference(tautology,[status(thm)],[])).
% 8.71/6.68 tff(28364,plain,
% 8.71/6.68 (~((~v88(constB65, bitIndex1)) <=> v90(constB65, bitIndex1))),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28363, 28354])).
% 8.71/6.68 tff(28365,plain,
% 8.71/6.68 (((~v88(constB65, bitIndex1)) <=> v90(constB65, bitIndex1)) | v88(constB65, bitIndex1) | (~v90(constB65, bitIndex1))),
% 8.71/6.68 inference(tautology,[status(thm)],[])).
% 8.71/6.68 tff(28366,plain,
% 8.71/6.68 (v88(constB65, bitIndex1)),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28365, 8500, 28364])).
% 8.71/6.68 tff(28367,plain,
% 8.71/6.68 ((~((~v88(constB65, bitIndex1)) | (~v88(constB65, bitIndex2)) | v88(constB65, bitIndex0))) | (~v88(constB65, bitIndex1)) | (~v88(constB65, bitIndex2)) | v88(constB65, bitIndex0)),
% 8.71/6.68 inference(tautology,[status(thm)],[])).
% 8.71/6.68 tff(28368,plain,
% 8.71/6.68 (~((~v88(constB65, bitIndex1)) | (~v88(constB65, bitIndex2)) | v88(constB65, bitIndex0))),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28367, 28366, 28362, 28358])).
% 8.71/6.68 tff(28369,plain,
% 8.71/6.68 ((~(v144(constB65) <=> (~((~v88(constB65, bitIndex1)) | (~v88(constB65, bitIndex2)) | v88(constB65, bitIndex0))))) | v144(constB65) | ((~v88(constB65, bitIndex1)) | (~v88(constB65, bitIndex2)) | v88(constB65, bitIndex0))),
% 8.71/6.68 inference(tautology,[status(thm)],[])).
% 8.71/6.68 tff(28370,plain,
% 8.71/6.68 (v144(constB65)),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28369, 28368, 28352])).
% 8.71/6.68 tff(28371,plain,
% 8.71/6.68 ((v143(constB65) | v144(constB65)) | (~v144(constB65))),
% 8.71/6.68 inference(tautology,[status(thm)],[])).
% 8.71/6.68 tff(28372,plain,
% 8.71/6.68 (v143(constB65) | v144(constB65)),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28371, 28370])).
% 8.71/6.68 tff(28373,plain,
% 8.71/6.68 ((~(v142(constB65) <=> (v143(constB65) | v144(constB65)))) | v142(constB65) | (~(v143(constB65) | v144(constB65)))),
% 8.71/6.68 inference(tautology,[status(thm)],[])).
% 8.71/6.68 tff(28374,plain,
% 8.71/6.68 (v142(constB65)),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28373, 28372, 28345])).
% 8.71/6.68 tff(28375,plain,
% 8.71/6.68 ((v137(constB65) | v142(constB65)) | (~v142(constB65))),
% 8.71/6.68 inference(tautology,[status(thm)],[])).
% 8.71/6.68 tff(28376,plain,
% 8.71/6.68 (v137(constB65) | v142(constB65)),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28375, 28374])).
% 8.71/6.68 tff(28377,plain,
% 8.71/6.68 ((~(v136(constB65) <=> (v137(constB65) | v142(constB65)))) | v136(constB65) | (~(v137(constB65) | v142(constB65)))),
% 8.71/6.68 inference(tautology,[status(thm)],[])).
% 8.71/6.68 tff(28378,plain,
% 8.71/6.68 ((~(v136(constB65) <=> (v137(constB65) | v142(constB65)))) | v136(constB65)),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28377, 28376])).
% 8.71/6.68 tff(28379,plain,
% 8.71/6.68 (v136(constB65)),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28378, 28343])).
% 8.71/6.68 tff(28380,plain,
% 8.71/6.68 ((v136(constB65) | v145(constB65)) | (~v136(constB65))),
% 8.71/6.68 inference(tautology,[status(thm)],[])).
% 8.71/6.68 tff(28381,plain,
% 8.71/6.68 (v136(constB65) | v145(constB65)),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28380, 28379])).
% 8.71/6.68 tff(28382,plain,
% 8.71/6.68 ((~(v135(constB65) <=> (v136(constB65) | v145(constB65)))) | v135(constB65) | (~(v136(constB65) | v145(constB65)))),
% 8.71/6.68 inference(tautology,[status(thm)],[])).
% 8.71/6.68 tff(28383,plain,
% 8.71/6.68 (v135(constB65)),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28382, 28381, 28341])).
% 8.71/6.68 tff(28384,plain,
% 8.71/6.68 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB65)) | (v86(constB65) <=> v148(constB65)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB65)) | (v86(constB65) <=> v148(constB65)))),
% 8.71/6.68 inference(rewrite,[status(thm)],[])).
% 8.71/6.68 tff(28385,plain,
% 8.71/6.68 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB65)) | (v86(constB65) <=> v148(constB65)))),
% 8.71/6.68 inference(quant_inst,[status(thm)],[])).
% 8.71/6.68 tff(28386,plain,
% 8.71/6.68 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB65)) | (v86(constB65) <=> v148(constB65))),
% 8.71/6.68 inference(modus_ponens,[status(thm)],[28385, 28384])).
% 8.71/6.68 tff(28387,plain,
% 8.71/6.68 (v86(constB65) <=> v148(constB65)),
% 8.71/6.68 inference(unit_resolution,[status(thm)],[28386, 14818, 28383])).
% 8.71/6.68 tff(28388,plain,
% 8.71/6.68 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB65) | (~v142(constB65)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB65) | (~v142(constB65)))),
% 8.71/6.68 inference(rewrite,[status(thm)],[])).
% 8.71/6.68 tff(28389,plain,
% 8.71/6.68 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB65) | (~v142(constB65)))),
% 8.71/6.68 inference(quant_inst,[status(thm)],[])).
% 8.71/6.68 tff(28390,plain,
% 8.71/6.68 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB65) | (~v142(constB65))),
% 8.71/6.69 inference(modus_ponens,[status(thm)],[28389, 28388])).
% 8.71/6.69 tff(28391,plain,
% 8.71/6.69 (v148(constB65)),
% 8.71/6.69 inference(unit_resolution,[status(thm)],[28390, 14832, 28374])).
% 8.71/6.69 tff(28392,plain,
% 8.71/6.69 ((~(v86(constB65) <=> v148(constB65))) | v86(constB65) | (~v148(constB65))),
% 8.71/6.69 inference(tautology,[status(thm)],[])).
% 8.71/6.69 tff(28393,plain,
% 8.71/6.69 ((~(v86(constB65) <=> v148(constB65))) | v86(constB65)),
% 8.71/6.69 inference(unit_resolution,[status(thm)],[28392, 28391])).
% 8.71/6.69 tff(28394,plain,
% 8.71/6.69 (v86(constB65)),
% 8.71/6.69 inference(unit_resolution,[status(thm)],[28393, 28387])).
% 8.71/6.69 tff(28395,plain,
% 8.71/6.69 ($false),
% 8.71/6.69 inference(unit_resolution,[status(thm)],[28394, 28339])).
% 8.71/6.69 tff(28396,plain,(~(constB65 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.71/6.69 tff(28397,assumption,(constB169 = VarCurr!0), introduced(assumption)).
% 8.71/6.69 tff(28398,plain,
% 8.71/6.69 (v86(constB169) <=> v86(VarCurr!0)),
% 8.71/6.69 inference(monotonicity,[status(thm)],[28397])).
% 8.71/6.69 tff(28399,plain,
% 8.71/6.69 (v86(VarCurr!0) <=> v86(constB169)),
% 8.71/6.69 inference(symmetry,[status(thm)],[28398])).
% 8.71/6.69 tff(28400,plain,
% 8.71/6.69 ((~v86(VarCurr!0)) <=> (~v86(constB169))),
% 8.71/6.69 inference(monotonicity,[status(thm)],[28399])).
% 8.71/6.69 tff(28401,plain,
% 8.71/6.69 (~v86(constB169)),
% 8.71/6.69 inference(modus_ponens,[status(thm)],[14736, 28400])).
% 8.71/6.69 tff(28402,plain,
% 8.71/6.69 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB169) <=> (v136(constB169) | v145(constB169)))),
% 8.71/6.69 inference(quant_inst,[status(thm)],[])).
% 8.71/6.69 tff(28403,plain,
% 8.71/6.69 (v135(constB169) <=> (v136(constB169) | v145(constB169))),
% 8.71/6.69 inference(unit_resolution,[status(thm)],[28402, 14744])).
% 8.71/6.69 tff(28404,plain,
% 8.71/6.69 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB169) <=> (v137(constB169) | v142(constB169)))),
% 8.71/6.69 inference(quant_inst,[status(thm)],[])).
% 8.71/6.69 tff(28405,plain,
% 8.71/6.69 (v136(constB169) <=> (v137(constB169) | v142(constB169))),
% 8.71/6.69 inference(unit_resolution,[status(thm)],[28404, 14753])).
% 8.71/6.69 tff(28406,plain,
% 8.71/6.69 ((v137(constB169) | v142(constB169)) | (~v142(constB169))),
% 8.71/6.69 inference(tautology,[status(thm)],[])).
% 8.71/6.69 tff(28407,plain,
% 8.71/6.69 (v137(constB169) | v142(constB169)),
% 8.71/6.69 inference(unit_resolution,[status(thm)],[28406, 25542])).
% 8.71/6.69 tff(28408,plain,
% 8.71/6.69 ((~(v136(constB169) <=> (v137(constB169) | v142(constB169)))) | v136(constB169) | (~(v137(constB169) | v142(constB169)))),
% 8.71/6.69 inference(tautology,[status(thm)],[])).
% 8.71/6.69 tff(28409,plain,
% 8.71/6.69 ((~(v136(constB169) <=> (v137(constB169) | v142(constB169)))) | v136(constB169)),
% 8.71/6.69 inference(unit_resolution,[status(thm)],[28408, 28407])).
% 8.71/6.69 tff(28410,plain,
% 8.71/6.69 (v136(constB169)),
% 8.71/6.69 inference(unit_resolution,[status(thm)],[28409, 28405])).
% 8.71/6.69 tff(28411,plain,
% 8.71/6.69 ((v136(constB169) | v145(constB169)) | (~v136(constB169))),
% 8.71/6.69 inference(tautology,[status(thm)],[])).
% 8.71/6.69 tff(28412,plain,
% 8.71/6.69 (v136(constB169) | v145(constB169)),
% 8.71/6.69 inference(unit_resolution,[status(thm)],[28411, 28410])).
% 8.71/6.69 tff(28413,plain,
% 8.71/6.69 ((~(v135(constB169) <=> (v136(constB169) | v145(constB169)))) | v135(constB169) | (~(v136(constB169) | v145(constB169)))),
% 8.71/6.69 inference(tautology,[status(thm)],[])).
% 8.71/6.69 tff(28414,plain,
% 8.71/6.69 (v135(constB169)),
% 8.71/6.69 inference(unit_resolution,[status(thm)],[28413, 28412, 28403])).
% 8.71/6.69 tff(28415,plain,
% 8.71/6.69 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB169)) | (v86(constB169) <=> v148(constB169)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB169)) | (v86(constB169) <=> v148(constB169)))),
% 8.71/6.69 inference(rewrite,[status(thm)],[])).
% 8.71/6.69 tff(28416,plain,
% 8.71/6.69 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB169)) | (v86(constB169) <=> v148(constB169)))),
% 8.71/6.69 inference(quant_inst,[status(thm)],[])).
% 8.71/6.69 tff(28417,plain,
% 8.71/6.69 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB169)) | (v86(constB169) <=> v148(constB169))),
% 8.71/6.69 inference(modus_ponens,[status(thm)],[28416, 28415])).
% 8.71/6.69 tff(28418,plain,
% 8.71/6.69 (v86(constB169) <=> v148(constB169)),
% 8.71/6.69 inference(unit_resolution,[status(thm)],[28417, 14818, 28414])).
% 8.71/6.69 tff(28419,plain,
% 8.71/6.69 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB169) | (~v142(constB169)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB169) | (~v142(constB169)))),
% 8.71/6.69 inference(rewrite,[status(thm)],[])).
% 8.71/6.69 tff(28420,plain,
% 8.71/6.69 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB169) | (~v142(constB169)))),
% 8.71/6.69 inference(quant_inst,[status(thm)],[])).
% 8.71/6.69 tff(28421,plain,
% 8.71/6.69 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB169) | (~v142(constB169))),
% 8.71/6.69 inference(modus_ponens,[status(thm)],[28420, 28419])).
% 8.71/6.69 tff(28422,plain,
% 8.71/6.69 (v148(constB169)),
% 8.71/6.69 inference(unit_resolution,[status(thm)],[28421, 14832, 25542])).
% 8.71/6.69 tff(28423,plain,
% 8.71/6.69 ((~(v86(constB169) <=> v148(constB169))) | v86(constB169) | (~v148(constB169))),
% 8.71/6.69 inference(tautology,[status(thm)],[])).
% 8.71/6.69 tff(28424,plain,
% 8.71/6.69 ((~(v86(constB169) <=> v148(constB169))) | v86(constB169)),
% 8.71/6.69 inference(unit_resolution,[status(thm)],[28423, 28422])).
% 8.71/6.69 tff(28425,plain,
% 8.71/6.69 (v86(constB169)),
% 8.71/6.69 inference(unit_resolution,[status(thm)],[28424, 28418])).
% 8.71/6.69 tff(28426,plain,
% 8.71/6.69 ($false),
% 8.71/6.69 inference(unit_resolution,[status(thm)],[28425, 28401])).
% 8.71/6.69 tff(28427,plain,(~(constB169 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.71/6.69 tff(28428,assumption,(constB73 = VarCurr!0), introduced(assumption)).
% 8.71/6.69 tff(28429,plain,
% 8.71/6.69 (v193(constB73) <=> v193(VarCurr!0)),
% 8.71/6.69 inference(monotonicity,[status(thm)],[28428])).
% 8.71/6.69 tff(28430,plain,
% 8.71/6.69 (v193(VarCurr!0) <=> v193(constB73)),
% 8.71/6.69 inference(symmetry,[status(thm)],[28429])).
% 8.71/6.69 tff(28431,plain,
% 8.71/6.69 (v193(constB73)),
% 8.71/6.69 inference(modus_ponens,[status(thm)],[59, 28430])).
% 8.71/6.69 tff(28432,plain,
% 8.71/6.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB72, constB73)) | (v193(constB73) <=> v191(constB72)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB72, constB73)) | (v193(constB73) <=> v191(constB72)))),
% 8.71/6.69 inference(rewrite,[status(thm)],[])).
% 8.71/6.69 tff(28433,plain,
% 8.71/6.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB72, constB73)) | (v193(constB73) <=> v191(constB72)))),
% 8.71/6.69 inference(quant_inst,[status(thm)],[])).
% 8.71/6.69 tff(28434,plain,
% 8.71/6.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB72, constB73)) | (v193(constB73) <=> v191(constB72))),
% 8.71/6.69 inference(modus_ponens,[status(thm)],[28433, 28432])).
% 8.71/6.69 tff(28435,plain,
% 8.71/6.69 (v193(constB73) <=> v191(constB72)),
% 8.71/6.69 inference(unit_resolution,[status(thm)],[28434, 810, 70])).
% 8.71/6.69 tff(28436,plain,
% 8.71/6.69 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB72) <=> (v194(constB72) | v198(constB72)))),
% 8.71/6.69 inference(quant_inst,[status(thm)],[])).
% 8.71/6.69 tff(28437,plain,
% 8.71/6.69 (v191(constB72) <=> (v194(constB72) | v198(constB72))),
% 8.71/6.69 inference(unit_resolution,[status(thm)],[28436, 84])).
% 8.71/6.69 tff(28438,plain,
% 8.71/6.69 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB72) <=> (~((~v199(constB72)) | (~v200(constB72)))))),
% 8.71/6.69 inference(quant_inst,[status(thm)],[])).
% 8.71/6.69 tff(28439,plain,
% 8.71/6.69 (v198(constB72) <=> (~((~v199(constB72)) | (~v200(constB72))))),
% 8.71/6.69 inference(unit_resolution,[status(thm)],[28438, 96])).
% 8.71/6.69 tff(28440,plain,
% 8.71/6.69 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB72) <=> (~((~v197(constB72)) | (~v201(constB72)))))),
% 8.71/6.69 inference(quant_inst,[status(thm)],[])).
% 8.71/6.69 tff(28441,plain,
% 8.71/6.69 (v200(constB72) <=> (~((~v197(constB72)) | (~v201(constB72))))),
% 8.71/6.69 inference(unit_resolution,[status(thm)],[28440, 108])).
% 8.71/6.69 tff(28442,plain,
% 8.71/6.69 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB72) <=> (~((~v39(constB72)) | (~v9(constB72)))))),
% 8.71/6.69 inference(quant_inst,[status(thm)],[])).
% 8.71/6.69 tff(28443,plain,
% 8.71/6.69 (v197(constB72) <=> (~((~v39(constB72)) | (~v9(constB72))))),
% 8.71/6.69 inference(unit_resolution,[status(thm)],[28442, 120])).
% 8.71/6.69 tff(28444,plain,
% 8.71/6.69 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB72)) <=> v1(constB72))),
% 8.71/6.69 inference(quant_inst,[status(thm)],[])).
% 8.71/6.69 tff(28445,plain,
% 8.71/6.69 ((~v39(constB72)) <=> v1(constB72)),
% 8.71/6.69 inference(unit_resolution,[status(thm)],[28444, 129])).
% 8.71/6.69 tff(28446,plain,
% 8.71/6.69 ((~((~v39(constB72)) <=> v1(constB72))) | (~v39(constB72)) | (~v1(constB72))),
% 8.71/6.69 inference(tautology,[status(thm)],[])).
% 8.71/6.69 tff(28447,plain,
% 8.71/6.69 ((~((~v39(constB72)) <=> v1(constB72))) | (~v39(constB72))),
% 8.71/6.69 inference(unit_resolution,[status(thm)],[28446, 9061])).
% 8.71/6.69 tff(28448,plain,
% 8.71/6.69 (~v39(constB72)),
% 8.71/6.69 inference(unit_resolution,[status(thm)],[28447, 28445])).
% 8.71/6.69 tff(28449,plain,
% 8.71/6.69 (((~v39(constB72)) | (~v9(constB72))) | v39(constB72)),
% 8.71/6.69 inference(tautology,[status(thm)],[])).
% 8.71/6.69 tff(28450,plain,
% 8.71/6.69 ((~v39(constB72)) | (~v9(constB72))),
% 8.71/6.69 inference(unit_resolution,[status(thm)],[28449, 28448])).
% 8.71/6.69 tff(28451,plain,
% 8.71/6.69 ((~(v197(constB72) <=> (~((~v39(constB72)) | (~v9(constB72)))))) | (~v197(constB72)) | (~((~v39(constB72)) | (~v9(constB72))))),
% 8.71/6.69 inference(tautology,[status(thm)],[])).
% 8.71/6.69 tff(28452,plain,
% 8.71/6.69 ((~(v197(constB72) <=> (~((~v39(constB72)) | (~v9(constB72)))))) | (~v197(constB72))),
% 8.71/6.69 inference(unit_resolution,[status(thm)],[28451, 28450])).
% 8.71/6.69 tff(28453,plain,
% 8.71/6.69 (~v197(constB72)),
% 8.71/6.69 inference(unit_resolution,[status(thm)],[28452, 28443])).
% 8.71/6.69 tff(28454,plain,
% 8.71/6.69 (((~v197(constB72)) | (~v201(constB72))) | v197(constB72)),
% 8.71/6.69 inference(tautology,[status(thm)],[])).
% 8.71/6.69 tff(28455,plain,
% 8.71/6.69 ((~v197(constB72)) | (~v201(constB72))),
% 8.71/6.69 inference(unit_resolution,[status(thm)],[28454, 28453])).
% 8.71/6.69 tff(28456,plain,
% 8.71/6.69 ((~(v200(constB72) <=> (~((~v197(constB72)) | (~v201(constB72)))))) | (~v200(constB72)) | (~((~v197(constB72)) | (~v201(constB72))))),
% 8.71/6.69 inference(tautology,[status(thm)],[])).
% 8.71/6.69 tff(28457,plain,
% 8.71/6.69 ((~(v200(constB72) <=> (~((~v197(constB72)) | (~v201(constB72)))))) | (~v200(constB72))),
% 8.71/6.69 inference(unit_resolution,[status(thm)],[28456, 28455])).
% 8.71/6.69 tff(28458,plain,
% 8.71/6.69 (~v200(constB72)),
% 8.71/6.69 inference(unit_resolution,[status(thm)],[28457, 28441])).
% 8.71/6.69 tff(28459,plain,
% 8.71/6.69 (((~v199(constB72)) | (~v200(constB72))) | v200(constB72)),
% 8.71/6.69 inference(tautology,[status(thm)],[])).
% 8.71/6.69 tff(28460,plain,
% 8.71/6.69 ((~v199(constB72)) | (~v200(constB72))),
% 8.71/6.69 inference(unit_resolution,[status(thm)],[28459, 28458])).
% 8.71/6.69 tff(28461,plain,
% 8.71/6.69 ((~(v198(constB72) <=> (~((~v199(constB72)) | (~v200(constB72)))))) | (~v198(constB72)) | (~((~v199(constB72)) | (~v200(constB72))))),
% 8.71/6.69 inference(tautology,[status(thm)],[])).
% 8.71/6.69 tff(28462,plain,
% 8.71/6.69 (~v198(constB72)),
% 8.71/6.69 inference(unit_resolution,[status(thm)],[28461, 28460, 28439])).
% 8.71/6.69 tff(28463,plain,
% 8.71/6.69 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB72) <=> (~((~v157(constB72)) | (~v195(constB72)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB72) <=> (~((~v157(constB72)) | (~v195(constB72))))))),
% 8.71/6.69 inference(rewrite,[status(thm)],[])).
% 8.71/6.69 tff(28464,plain,
% 8.71/6.69 ((v194(constB72) <=> (~((~v195(constB72)) | (~v157(constB72))))) <=> (v194(constB72) <=> (~((~v157(constB72)) | (~v195(constB72)))))),
% 8.71/6.69 inference(rewrite,[status(thm)],[])).
% 8.71/6.69 tff(28465,plain,
% 8.71/6.69 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB72) <=> (~((~v195(constB72)) | (~v157(constB72)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB72) <=> (~((~v157(constB72)) | (~v195(constB72))))))),
% 8.71/6.69 inference(monotonicity,[status(thm)],[28464])).
% 8.71/6.69 tff(28466,plain,
% 8.71/6.69 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB72) <=> (~((~v195(constB72)) | (~v157(constB72)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB72) <=> (~((~v157(constB72)) | (~v195(constB72))))))),
% 8.71/6.69 inference(transitivity,[status(thm)],[28465, 28463])).
% 8.71/6.69 tff(28467,plain,
% 8.71/6.69 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB72) <=> (~((~v195(constB72)) | (~v157(constB72)))))),
% 8.71/6.69 inference(quant_inst,[status(thm)],[])).
% 8.71/6.69 tff(28468,plain,
% 8.71/6.69 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB72) <=> (~((~v157(constB72)) | (~v195(constB72)))))),
% 8.71/6.69 inference(modus_ponens,[status(thm)],[28467, 28466])).
% 8.71/6.69 tff(28469,plain,
% 8.71/6.69 (v194(constB72) <=> (~((~v157(constB72)) | (~v195(constB72))))),
% 8.71/6.69 inference(unit_resolution,[status(thm)],[28468, 161])).
% 8.71/6.69 tff(28470,plain,
% 8.71/6.69 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB72) <=> v193(constB72))),
% 8.71/6.69 inference(quant_inst,[status(thm)],[])).
% 8.71/6.69 tff(28471,plain,
% 8.71/6.69 (v157(constB72) <=> v193(constB72)),
% 8.71/6.69 inference(unit_resolution,[status(thm)],[28470, 13])).
% 8.71/6.69 tff(28472,plain,
% 8.71/6.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB71, constB72)) | (v193(constB72) <=> v191(constB71)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB71, constB72)) | (v193(constB72) <=> v191(constB71)))),
% 8.71/6.69 inference(rewrite,[status(thm)],[])).
% 8.71/6.69 tff(28473,plain,
% 8.71/6.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB71, constB72)) | (v193(constB72) <=> v191(constB71)))),
% 8.71/6.69 inference(quant_inst,[status(thm)],[])).
% 8.71/6.69 tff(28474,plain,
% 8.71/6.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB71, constB72)) | (v193(constB72) <=> v191(constB71))),
% 8.71/6.69 inference(modus_ponens,[status(thm)],[28473, 28472])).
% 8.71/6.69 tff(28475,plain,
% 8.71/6.69 (v193(constB72) <=> v191(constB71)),
% 8.71/6.69 inference(unit_resolution,[status(thm)],[28474, 846, 70])).
% 8.71/6.69 tff(28476,plain,
% 8.71/6.69 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB71) <=> (v194(constB71) | v198(constB71)))),
% 8.71/6.69 inference(quant_inst,[status(thm)],[])).
% 8.71/6.69 tff(28477,plain,
% 8.71/6.69 (v191(constB71) <=> (v194(constB71) | v198(constB71))),
% 8.71/6.69 inference(unit_resolution,[status(thm)],[28476, 84])).
% 8.71/6.69 tff(28478,plain,
% 8.71/6.69 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB71) <=> (~((~v157(constB71)) | (~v195(constB71)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB71) <=> (~((~v157(constB71)) | (~v195(constB71))))))),
% 8.71/6.69 inference(rewrite,[status(thm)],[])).
% 8.71/6.69 tff(28479,plain,
% 8.71/6.69 ((v194(constB71) <=> (~((~v195(constB71)) | (~v157(constB71))))) <=> (v194(constB71) <=> (~((~v157(constB71)) | (~v195(constB71)))))),
% 8.71/6.69 inference(rewrite,[status(thm)],[])).
% 8.71/6.69 tff(28480,plain,
% 8.71/6.69 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB71) <=> (~((~v195(constB71)) | (~v157(constB71)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB71) <=> (~((~v157(constB71)) | (~v195(constB71))))))),
% 8.71/6.69 inference(monotonicity,[status(thm)],[28479])).
% 8.71/6.69 tff(28481,plain,
% 8.71/6.69 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB71) <=> (~((~v195(constB71)) | (~v157(constB71)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB71) <=> (~((~v157(constB71)) | (~v195(constB71))))))),
% 8.71/6.69 inference(transitivity,[status(thm)],[28480, 28478])).
% 8.71/6.69 tff(28482,plain,
% 8.71/6.69 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB71) <=> (~((~v195(constB71)) | (~v157(constB71)))))),
% 8.71/6.69 inference(quant_inst,[status(thm)],[])).
% 8.71/6.69 tff(28483,plain,
% 8.71/6.69 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB71) <=> (~((~v157(constB71)) | (~v195(constB71)))))),
% 8.71/6.69 inference(modus_ponens,[status(thm)],[28482, 28481])).
% 8.71/6.69 tff(28484,plain,
% 8.71/6.69 (v194(constB71) <=> (~((~v157(constB71)) | (~v195(constB71))))),
% 8.71/6.69 inference(unit_resolution,[status(thm)],[28483, 161])).
% 8.71/6.69 tff(28485,plain,
% 8.71/6.69 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB71)) <=> v196(constB71))),
% 8.71/6.69 inference(quant_inst,[status(thm)],[])).
% 8.71/6.69 tff(28486,plain,
% 8.71/6.69 ((~v195(constB71)) <=> v196(constB71)),
% 8.71/6.69 inference(unit_resolution,[status(thm)],[28485, 193])).
% 8.71/6.69 tff(28487,plain,
% 8.71/6.69 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB71) <=> (v197(constB71) | v26(constB71)))),
% 8.71/6.69 inference(quant_inst,[status(thm)],[])).
% 8.71/6.69 tff(28488,plain,
% 8.71/6.69 (v196(constB71) <=> (v197(constB71) | v26(constB71))),
% 8.71/6.69 inference(unit_resolution,[status(thm)],[28487, 202])).
% 8.71/6.69 tff(28489,plain,
% 8.71/6.69 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB71) <=> (~((~v39(constB71)) | (~v9(constB71)))))),
% 8.71/6.69 inference(quant_inst,[status(thm)],[])).
% 8.71/6.69 tff(28490,plain,
% 8.71/6.69 (v197(constB71) <=> (~((~v39(constB71)) | (~v9(constB71))))),
% 8.71/6.69 inference(unit_resolution,[status(thm)],[28489, 120])).
% 8.71/6.69 tff(28491,plain,
% 8.71/6.69 (((~![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)))),
% 8.71/6.69 inference(rewrite,[status(thm)],[])).
% 8.71/6.69 tff(28492,plain,
% 8.71/6.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB71, constB72)) | (v13(constB72) <=> v9(constB71)))),
% 8.71/6.69 inference(quant_inst,[status(thm)],[])).
% 8.71/6.69 tff(28493,plain,
% 8.71/6.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB71, constB72)) | (v13(constB72) <=> v9(constB71))),
% 8.71/6.69 inference(modus_ponens,[status(thm)],[28492, 28491])).
% 8.71/6.69 tff(28494,plain,
% 8.71/6.69 (v13(constB72) <=> v9(constB71)),
% 8.71/6.69 inference(unit_resolution,[status(thm)],[28493, 846, 216])).
% 8.71/6.69 tff(28495,plain,
% 8.71/6.69 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB72) <=> v13(constB72))),
% 8.71/6.69 inference(quant_inst,[status(thm)],[])).
% 8.71/6.69 tff(28496,plain,
% 8.71/6.69 (v6(constB72) <=> v13(constB72)),
% 8.71/6.69 inference(unit_resolution,[status(thm)],[28495, 230])).
% 8.71/6.69 tff(28497,plain,
% 8.71/6.69 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB72)) <=> v6(constB72))),
% 8.71/6.69 inference(quant_inst,[status(thm)],[])).
% 8.71/6.69 tff(28498,plain,
% 8.71/6.69 ((~v21(constB72)) <=> v6(constB72)),
% 8.71/6.69 inference(unit_resolution,[status(thm)],[28497, 239])).
% 8.71/6.69 tff(28499,plain,
% 8.71/6.69 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB72) <=> (v20(constB72) | v21(constB72)))),
% 8.71/6.69 inference(quant_inst,[status(thm)],[])).
% 8.71/6.69 tff(28500,plain,
% 8.71/6.69 (v19(constB72) <=> (v20(constB72) | v21(constB72))),
% 8.71/6.69 inference(unit_resolution,[status(thm)],[28499, 248])).
% 8.71/6.69 tff(28501,plain,
% 8.71/6.69 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB72) <=> (~((~v19(constB72)) | (~v22(constB72)))))),
% 8.71/6.69 inference(quant_inst,[status(thm)],[])).
% 8.71/6.69 tff(28502,plain,
% 8.71/6.69 (v18(constB72) <=> (~((~v19(constB72)) | (~v22(constB72))))),
% 8.71/6.69 inference(unit_resolution,[status(thm)],[28501, 260])).
% 8.71/6.69 tff(28503,plain,
% 8.71/6.69 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB72)) <=> v18(constB72))),
% 8.71/6.69 inference(quant_inst,[status(thm)],[])).
% 8.71/6.69 tff(28504,plain,
% 8.71/6.69 ((~v4(constB72)) <=> v18(constB72)),
% 8.71/6.69 inference(unit_resolution,[status(thm)],[28503, 269])).
% 8.71/6.69 tff(28505,plain,
% 8.71/6.69 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB72)),
% 8.71/6.69 inference(quant_inst,[status(thm)],[])).
% 8.71/6.69 tff(28506,plain,
% 8.71/6.69 (v4(constB72)),
% 8.71/6.69 inference(unit_resolution,[status(thm)],[28505, 278])).
% 8.71/6.69 tff(28507,plain,
% 8.71/6.69 ((~((~v4(constB72)) <=> v18(constB72))) | (~v4(constB72)) | (~v18(constB72))),
% 8.71/6.69 inference(tautology,[status(thm)],[])).
% 8.71/6.69 tff(28508,plain,
% 8.71/6.69 (~v18(constB72)),
% 8.71/6.69 inference(unit_resolution,[status(thm)],[28507, 28506, 28504])).
% 8.71/6.69 tff(28509,plain,
% 8.71/6.69 ((~(v18(constB72) <=> (~((~v19(constB72)) | (~v22(constB72)))))) | v18(constB72) | ((~v19(constB72)) | (~v22(constB72)))),
% 8.71/6.69 inference(tautology,[status(thm)],[])).
% 8.71/6.69 tff(28510,plain,
% 8.71/6.69 ((~v19(constB72)) | (~v22(constB72))),
% 8.71/6.69 inference(unit_resolution,[status(thm)],[28509, 28508, 28502])).
% 8.71/6.69 tff(28511,plain,
% 8.71/6.69 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB72) <=> (v1(constB72) | v6(constB72)))),
% 8.71/6.69 inference(quant_inst,[status(thm)],[])).
% 8.71/6.69 tff(28512,plain,
% 8.71/6.69 (v22(constB72) <=> (v1(constB72) | v6(constB72))),
% 8.71/6.69 inference(unit_resolution,[status(thm)],[28511, 291])).
% 8.71/6.69 tff(28513,plain,
% 8.71/6.69 ((v1(constB72) | v6(constB72)) | (~v1(constB72))),
% 8.71/6.69 inference(tautology,[status(thm)],[])).
% 8.71/6.69 tff(28514,plain,
% 8.71/6.69 (v1(constB72) | v6(constB72)),
% 8.71/6.69 inference(unit_resolution,[status(thm)],[28513, 9061])).
% 8.71/6.69 tff(28515,plain,
% 8.71/6.69 ((~(v22(constB72) <=> (v1(constB72) | v6(constB72)))) | v22(constB72) | (~(v1(constB72) | v6(constB72)))),
% 8.71/6.69 inference(tautology,[status(thm)],[])).
% 8.71/6.69 tff(28516,plain,
% 8.71/6.69 ((~(v22(constB72) <=> (v1(constB72) | v6(constB72)))) | v22(constB72)),
% 8.71/6.69 inference(unit_resolution,[status(thm)],[28515, 28514])).
% 8.71/6.69 tff(28517,plain,
% 8.71/6.69 (v22(constB72)),
% 8.71/6.69 inference(unit_resolution,[status(thm)],[28516, 28512])).
% 8.71/6.69 tff(28518,plain,
% 8.71/6.69 ((~((~v19(constB72)) | (~v22(constB72)))) | (~v19(constB72)) | (~v22(constB72))),
% 8.71/6.69 inference(tautology,[status(thm)],[])).
% 8.71/6.69 tff(28519,plain,
% 8.71/6.69 ((~((~v19(constB72)) | (~v22(constB72)))) | (~v19(constB72))),
% 8.71/6.69 inference(unit_resolution,[status(thm)],[28518, 28517])).
% 8.71/6.69 tff(28520,plain,
% 8.71/6.69 (~v19(constB72)),
% 8.71/6.69 inference(unit_resolution,[status(thm)],[28519, 28510])).
% 8.71/6.69 tff(28521,plain,
% 8.71/6.69 ((~(v19(constB72) <=> (v20(constB72) | v21(constB72)))) | v19(constB72) | (~(v20(constB72) | v21(constB72)))),
% 8.71/6.69 inference(tautology,[status(thm)],[])).
% 8.71/6.69 tff(28522,plain,
% 8.71/6.69 (~(v20(constB72) | v21(constB72))),
% 8.71/6.69 inference(unit_resolution,[status(thm)],[28521, 28520, 28500])).
% 8.71/6.69 tff(28523,plain,
% 8.71/6.69 ((v20(constB72) | v21(constB72)) | (~v21(constB72))),
% 8.71/6.69 inference(tautology,[status(thm)],[])).
% 8.71/6.69 tff(28524,plain,
% 8.71/6.69 (~v21(constB72)),
% 8.71/6.69 inference(unit_resolution,[status(thm)],[28523, 28522])).
% 8.71/6.69 tff(28525,plain,
% 8.71/6.69 ((~((~v21(constB72)) <=> v6(constB72))) | v21(constB72) | v6(constB72)),
% 8.71/6.69 inference(tautology,[status(thm)],[])).
% 8.71/6.69 tff(28526,plain,
% 8.71/6.69 (v6(constB72)),
% 8.71/6.69 inference(unit_resolution,[status(thm)],[28525, 28524, 28498])).
% 8.71/6.69 tff(28527,plain,
% 8.71/6.69 ((~(v6(constB72) <=> v13(constB72))) | (~v6(constB72)) | v13(constB72)),
% 8.71/6.69 inference(tautology,[status(thm)],[])).
% 8.71/6.69 tff(28528,plain,
% 8.71/6.69 (v13(constB72)),
% 8.71/6.69 inference(unit_resolution,[status(thm)],[28527, 28526, 28496])).
% 8.71/6.69 tff(28529,plain,
% 8.71/6.69 ((~(v13(constB72) <=> v9(constB71))) | (~v13(constB72)) | v9(constB71)),
% 8.71/6.69 inference(tautology,[status(thm)],[])).
% 8.71/6.69 tff(28530,plain,
% 8.71/6.69 (v9(constB71)),
% 8.71/6.69 inference(unit_resolution,[status(thm)],[28529, 28528, 28494])).
% 8.71/6.69 tff(28531,plain,
% 8.71/6.69 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB71)) <=> v1(constB71))),
% 8.71/6.69 inference(quant_inst,[status(thm)],[])).
% 8.71/6.69 tff(28532,plain,
% 8.71/6.69 ((~v39(constB71)) <=> v1(constB71)),
% 8.71/6.69 inference(unit_resolution,[status(thm)],[28531, 129])).
% 8.71/6.69 tff(28533,plain,
% 8.71/6.69 ((~((~v39(constB71)) <=> v1(constB71))) | v39(constB71) | v1(constB71)),
% 8.71/6.69 inference(tautology,[status(thm)],[])).
% 8.71/6.69 tff(28534,plain,
% 8.71/6.69 ((~((~v39(constB71)) <=> v1(constB71))) | v39(constB71)),
% 8.71/6.69 inference(unit_resolution,[status(thm)],[28533, 903])).
% 8.71/6.69 tff(28535,plain,
% 8.71/6.69 (v39(constB71)),
% 8.71/6.69 inference(unit_resolution,[status(thm)],[28534, 28532])).
% 8.71/6.69 tff(28536,plain,
% 8.71/6.69 ((~((~v39(constB71)) | (~v9(constB71)))) | (~v39(constB71)) | (~v9(constB71))),
% 8.71/6.69 inference(tautology,[status(thm)],[])).
% 8.71/6.69 tff(28537,plain,
% 8.71/6.69 ((~((~v39(constB71)) | (~v9(constB71)))) | (~v9(constB71))),
% 8.71/6.69 inference(unit_resolution,[status(thm)],[28536, 28535])).
% 8.71/6.69 tff(28538,plain,
% 8.71/6.69 (~((~v39(constB71)) | (~v9(constB71)))),
% 8.71/6.69 inference(unit_resolution,[status(thm)],[28537, 28530])).
% 8.71/6.69 tff(28539,plain,
% 8.71/6.69 ((~(v197(constB71) <=> (~((~v39(constB71)) | (~v9(constB71)))))) | v197(constB71) | ((~v39(constB71)) | (~v9(constB71)))),
% 8.71/6.69 inference(tautology,[status(thm)],[])).
% 8.71/6.69 tff(28540,plain,
% 8.71/6.69 (v197(constB71)),
% 8.71/6.69 inference(unit_resolution,[status(thm)],[28539, 28538, 28490])).
% 8.71/6.69 tff(28541,plain,
% 8.71/6.69 ((v197(constB71) | v26(constB71)) | (~v197(constB71))),
% 8.71/6.69 inference(tautology,[status(thm)],[])).
% 8.71/6.69 tff(28542,plain,
% 8.71/6.69 (v197(constB71) | v26(constB71)),
% 8.71/6.69 inference(unit_resolution,[status(thm)],[28541, 28540])).
% 8.71/6.69 tff(28543,plain,
% 8.71/6.69 ((~(v196(constB71) <=> (v197(constB71) | v26(constB71)))) | v196(constB71) | (~(v197(constB71) | v26(constB71)))),
% 8.71/6.69 inference(tautology,[status(thm)],[])).
% 8.71/6.69 tff(28544,plain,
% 8.71/6.69 (v196(constB71)),
% 8.71/6.69 inference(unit_resolution,[status(thm)],[28543, 28542, 28488])).
% 8.71/6.69 tff(28545,plain,
% 8.71/6.69 ((~((~v195(constB71)) <=> v196(constB71))) | (~v195(constB71)) | (~v196(constB71))),
% 8.71/6.69 inference(tautology,[status(thm)],[])).
% 8.71/6.69 tff(28546,plain,
% 8.71/6.69 (~v195(constB71)),
% 8.71/6.69 inference(unit_resolution,[status(thm)],[28545, 28544, 28486])).
% 8.71/6.69 tff(28547,plain,
% 8.71/6.69 (((~v157(constB71)) | (~v195(constB71))) | v195(constB71)),
% 8.71/6.69 inference(tautology,[status(thm)],[])).
% 8.71/6.69 tff(28548,plain,
% 8.71/6.69 ((~v157(constB71)) | (~v195(constB71))),
% 8.71/6.69 inference(unit_resolution,[status(thm)],[28547, 28546])).
% 8.71/6.69 tff(28549,plain,
% 8.71/6.69 ((~(v194(constB71) <=> (~((~v157(constB71)) | (~v195(constB71)))))) | (~v194(constB71)) | (~((~v157(constB71)) | (~v195(constB71))))),
% 8.71/6.69 inference(tautology,[status(thm)],[])).
% 8.71/6.69 tff(28550,plain,
% 8.71/6.69 (~v194(constB71)),
% 8.71/6.69 inference(unit_resolution,[status(thm)],[28549, 28548, 28484])).
% 8.71/6.69 tff(28551,plain,
% 8.71/6.69 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB71) <=> (~((~v199(constB71)) | (~v200(constB71)))))),
% 8.71/6.69 inference(quant_inst,[status(thm)],[])).
% 8.71/6.69 tff(28552,plain,
% 8.71/6.69 (v198(constB71) <=> (~((~v199(constB71)) | (~v200(constB71))))),
% 8.71/6.69 inference(unit_resolution,[status(thm)],[28551, 96])).
% 8.71/6.69 tff(28553,plain,
% 8.71/6.69 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB71) <=> (~((~v197(constB71)) | (~v201(constB71)))))),
% 8.71/6.69 inference(quant_inst,[status(thm)],[])).
% 8.71/6.69 tff(28554,plain,
% 8.71/6.69 (v200(constB71) <=> (~((~v197(constB71)) | (~v201(constB71))))),
% 8.71/6.69 inference(unit_resolution,[status(thm)],[28553, 108])).
% 8.71/6.69 tff(28555,plain,
% 8.71/6.69 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB71) <=> (~((~v159(constB71)) | (~v161(constB71)))))),
% 8.71/6.69 inference(quant_inst,[status(thm)],[])).
% 8.71/6.69 tff(28556,plain,
% 8.71/6.69 (v201(constB71) <=> (~((~v159(constB71)) | (~v161(constB71))))),
% 8.71/6.69 inference(unit_resolution,[status(thm)],[28555, 348])).
% 8.71/6.69 tff(28557,plain,
% 8.71/6.69 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB71) <=> v163(constB71))),
% 8.71/6.69 inference(quant_inst,[status(thm)],[])).
% 8.71/6.69 tff(28558,plain,
% 8.71/6.69 (v161(constB71) <=> v163(constB71)),
% 8.71/6.69 inference(unit_resolution,[status(thm)],[28557, 357])).
% 8.71/6.69 tff(28559,plain,
% 8.71/6.69 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB71) <=> (v145(constB71) | v167(constB71)))),
% 8.71/6.69 inference(quant_inst,[status(thm)],[])).
% 8.71/6.69 tff(28560,plain,
% 8.71/6.69 (v166(constB71) <=> (v145(constB71) | v167(constB71))),
% 8.71/6.69 inference(unit_resolution,[status(thm)],[28559, 369])).
% 8.71/6.69 tff(28561,plain,
% 8.71/6.69 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB71) <=> (v142(constB71) | v168(constB71)))),
% 8.71/6.69 inference(quant_inst,[status(thm)],[])).
% 8.71/6.69 tff(28562,plain,
% 8.71/6.69 (v167(constB71) <=> (v142(constB71) | v168(constB71))),
% 8.71/6.69 inference(unit_resolution,[status(thm)],[28561, 381])).
% 8.71/6.69 tff(28563,plain,
% 8.71/6.69 ((~![VarCurr: $i] : (v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr)))) | (v168(constB71) <=> (v141(constB71) | v169(constB71)))),
% 8.71/6.69 inference(quant_inst,[status(thm)],[])).
% 8.71/6.69 tff(28564,plain,
% 8.71/6.69 (v168(constB71) <=> (v141(constB71) | v169(constB71))),
% 8.71/6.69 inference(unit_resolution,[status(thm)],[28563, 393])).
% 8.71/6.69 tff(28565,plain,
% 8.71/6.69 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB71) <=> (~((~v88(constB71, bitIndex1)) | v88(constB71, bitIndex2) | (~v88(constB71, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB71) <=> (~((~v88(constB71, bitIndex1)) | v88(constB71, bitIndex2) | (~v88(constB71, bitIndex0))))))),
% 8.78/6.69 inference(rewrite,[status(thm)],[])).
% 8.78/6.69 tff(28566,plain,
% 8.78/6.69 ((v141(constB71) <=> (~(v88(constB71, bitIndex2) | (~v88(constB71, bitIndex1)) | (~v88(constB71, bitIndex0))))) <=> (v141(constB71) <=> (~((~v88(constB71, bitIndex1)) | v88(constB71, bitIndex2) | (~v88(constB71, bitIndex0)))))),
% 8.78/6.69 inference(rewrite,[status(thm)],[])).
% 8.78/6.69 tff(28567,plain,
% 8.78/6.69 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB71) <=> (~(v88(constB71, bitIndex2) | (~v88(constB71, bitIndex1)) | (~v88(constB71, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB71) <=> (~((~v88(constB71, bitIndex1)) | v88(constB71, bitIndex2) | (~v88(constB71, bitIndex0))))))),
% 8.78/6.69 inference(monotonicity,[status(thm)],[28566])).
% 8.78/6.69 tff(28568,plain,
% 8.78/6.69 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB71) <=> (~(v88(constB71, bitIndex2) | (~v88(constB71, bitIndex1)) | (~v88(constB71, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB71) <=> (~((~v88(constB71, bitIndex1)) | v88(constB71, bitIndex2) | (~v88(constB71, bitIndex0))))))),
% 8.78/6.69 inference(transitivity,[status(thm)],[28567, 28565])).
% 8.78/6.69 tff(28569,plain,
% 8.78/6.69 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB71) <=> (~(v88(constB71, bitIndex2) | (~v88(constB71, bitIndex1)) | (~v88(constB71, bitIndex0)))))),
% 8.78/6.69 inference(quant_inst,[status(thm)],[])).
% 8.78/6.69 tff(28570,plain,
% 8.78/6.69 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB71) <=> (~((~v88(constB71, bitIndex1)) | v88(constB71, bitIndex2) | (~v88(constB71, bitIndex0)))))),
% 8.78/6.69 inference(modus_ponens,[status(thm)],[28569, 28568])).
% 8.78/6.69 tff(28571,plain,
% 8.78/6.69 (v141(constB71) <=> (~((~v88(constB71, bitIndex1)) | v88(constB71, bitIndex2) | (~v88(constB71, bitIndex0))))),
% 8.78/6.69 inference(unit_resolution,[status(thm)],[28570, 408])).
% 8.78/6.69 tff(28572,plain,
% 8.78/6.69 ((~![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))) | (~(((~v88(constB71, bitIndex1)) <=> v90(constB71, bitIndex1)) | ((~v88(constB71, bitIndex2)) <=> v90(constB71, bitIndex2)) | ((~v88(constB71, bitIndex0)) <=> v90(constB71, bitIndex0))))),
% 8.78/6.69 inference(quant_inst,[status(thm)],[])).
% 8.78/6.69 tff(28573,plain,
% 8.78/6.69 (~(((~v88(constB71, bitIndex1)) <=> v90(constB71, bitIndex1)) | ((~v88(constB71, bitIndex2)) <=> v90(constB71, bitIndex2)) | ((~v88(constB71, bitIndex0)) <=> v90(constB71, bitIndex0)))),
% 8.78/6.69 inference(unit_resolution,[status(thm)],[28572, 428])).
% 8.78/6.69 tff(28574,plain,
% 8.78/6.69 ((((~v88(constB71, bitIndex1)) <=> v90(constB71, bitIndex1)) | ((~v88(constB71, bitIndex2)) <=> v90(constB71, bitIndex2)) | ((~v88(constB71, bitIndex0)) <=> v90(constB71, bitIndex0))) | (~((~v88(constB71, bitIndex2)) <=> v90(constB71, bitIndex2)))),
% 8.78/6.69 inference(tautology,[status(thm)],[])).
% 8.78/6.69 tff(28575,plain,
% 8.78/6.69 (~((~v88(constB71, bitIndex2)) <=> v90(constB71, bitIndex2))),
% 8.78/6.69 inference(unit_resolution,[status(thm)],[28574, 28573])).
% 8.78/6.69 tff(28576,plain,
% 8.78/6.69 (((~v88(constB71, bitIndex2)) <=> v90(constB71, bitIndex2)) | (~v88(constB71, bitIndex2)) | v90(constB71, bitIndex2)),
% 8.78/6.69 inference(tautology,[status(thm)],[])).
% 8.78/6.69 tff(28577,plain,
% 8.78/6.69 (~v88(constB71, bitIndex2)),
% 8.78/6.69 inference(unit_resolution,[status(thm)],[28576, 8980, 28575])).
% 8.78/6.69 tff(28578,plain,
% 8.78/6.69 ((((~v88(constB71, bitIndex1)) <=> v90(constB71, bitIndex1)) | ((~v88(constB71, bitIndex2)) <=> v90(constB71, bitIndex2)) | ((~v88(constB71, bitIndex0)) <=> v90(constB71, bitIndex0))) | (~((~v88(constB71, bitIndex0)) <=> v90(constB71, bitIndex0)))),
% 8.78/6.69 inference(tautology,[status(thm)],[])).
% 8.78/6.69 tff(28579,plain,
% 8.78/6.69 (~((~v88(constB71, bitIndex0)) <=> v90(constB71, bitIndex0))),
% 8.78/6.69 inference(unit_resolution,[status(thm)],[28578, 28573])).
% 8.78/6.69 tff(28580,plain,
% 8.78/6.69 (((~v88(constB71, bitIndex0)) <=> v90(constB71, bitIndex0)) | v88(constB71, bitIndex0) | (~v90(constB71, bitIndex0))),
% 8.78/6.69 inference(tautology,[status(thm)],[])).
% 8.78/6.69 tff(28581,plain,
% 8.78/6.69 (v88(constB71, bitIndex0)),
% 8.78/6.69 inference(unit_resolution,[status(thm)],[28580, 8998, 28579])).
% 8.78/6.69 tff(28582,plain,
% 8.78/6.69 ((((~v88(constB71, bitIndex1)) <=> v90(constB71, bitIndex1)) | ((~v88(constB71, bitIndex2)) <=> v90(constB71, bitIndex2)) | ((~v88(constB71, bitIndex0)) <=> v90(constB71, bitIndex0))) | (~((~v88(constB71, bitIndex1)) <=> v90(constB71, bitIndex1)))),
% 8.78/6.69 inference(tautology,[status(thm)],[])).
% 8.78/6.69 tff(28583,plain,
% 8.78/6.69 (~((~v88(constB71, bitIndex1)) <=> v90(constB71, bitIndex1))),
% 8.78/6.69 inference(unit_resolution,[status(thm)],[28582, 28573])).
% 8.78/6.69 tff(28584,plain,
% 8.78/6.69 (((~v88(constB71, bitIndex1)) <=> v90(constB71, bitIndex1)) | v88(constB71, bitIndex1) | (~v90(constB71, bitIndex1))),
% 8.78/6.69 inference(tautology,[status(thm)],[])).
% 8.78/6.69 tff(28585,plain,
% 8.78/6.69 (v88(constB71, bitIndex1)),
% 8.78/6.69 inference(unit_resolution,[status(thm)],[28584, 9016, 28583])).
% 8.78/6.69 tff(28586,plain,
% 8.78/6.69 ((~((~v88(constB71, bitIndex1)) | v88(constB71, bitIndex2) | (~v88(constB71, bitIndex0)))) | (~v88(constB71, bitIndex1)) | v88(constB71, bitIndex2) | (~v88(constB71, bitIndex0))),
% 8.78/6.69 inference(tautology,[status(thm)],[])).
% 8.78/6.69 tff(28587,plain,
% 8.78/6.69 (~((~v88(constB71, bitIndex1)) | v88(constB71, bitIndex2) | (~v88(constB71, bitIndex0)))),
% 8.78/6.69 inference(unit_resolution,[status(thm)],[28586, 28585, 28581, 28577])).
% 8.78/6.69 tff(28588,plain,
% 8.78/6.69 ((~(v141(constB71) <=> (~((~v88(constB71, bitIndex1)) | v88(constB71, bitIndex2) | (~v88(constB71, bitIndex0)))))) | v141(constB71) | ((~v88(constB71, bitIndex1)) | v88(constB71, bitIndex2) | (~v88(constB71, bitIndex0)))),
% 8.78/6.69 inference(tautology,[status(thm)],[])).
% 8.78/6.69 tff(28589,plain,
% 8.78/6.69 (v141(constB71)),
% 8.78/6.69 inference(unit_resolution,[status(thm)],[28588, 28587, 28571])).
% 8.78/6.69 tff(28590,plain,
% 8.78/6.69 ((v141(constB71) | v169(constB71)) | (~v141(constB71))),
% 8.78/6.69 inference(tautology,[status(thm)],[])).
% 8.78/6.69 tff(28591,plain,
% 8.78/6.69 (v141(constB71) | v169(constB71)),
% 8.78/6.69 inference(unit_resolution,[status(thm)],[28590, 28589])).
% 8.78/6.69 tff(28592,plain,
% 8.78/6.69 ((~(v168(constB71) <=> (v141(constB71) | v169(constB71)))) | v168(constB71) | (~(v141(constB71) | v169(constB71)))),
% 8.78/6.69 inference(tautology,[status(thm)],[])).
% 8.78/6.69 tff(28593,plain,
% 8.78/6.69 (v168(constB71)),
% 8.78/6.69 inference(unit_resolution,[status(thm)],[28592, 28591, 28564])).
% 8.78/6.69 tff(28594,plain,
% 8.78/6.69 ((v142(constB71) | v168(constB71)) | (~v168(constB71))),
% 8.78/6.69 inference(tautology,[status(thm)],[])).
% 8.78/6.69 tff(28595,plain,
% 8.78/6.69 (v142(constB71) | v168(constB71)),
% 8.78/6.69 inference(unit_resolution,[status(thm)],[28594, 28593])).
% 8.78/6.69 tff(28596,plain,
% 8.78/6.69 ((~(v167(constB71) <=> (v142(constB71) | v168(constB71)))) | v167(constB71) | (~(v142(constB71) | v168(constB71)))),
% 8.78/6.69 inference(tautology,[status(thm)],[])).
% 8.78/6.69 tff(28597,plain,
% 8.78/6.69 ((~(v167(constB71) <=> (v142(constB71) | v168(constB71)))) | v167(constB71)),
% 8.78/6.69 inference(unit_resolution,[status(thm)],[28596, 28595])).
% 8.78/6.69 tff(28598,plain,
% 8.78/6.69 (v167(constB71)),
% 8.78/6.69 inference(unit_resolution,[status(thm)],[28597, 28562])).
% 8.78/6.69 tff(28599,plain,
% 8.78/6.69 ((v145(constB71) | v167(constB71)) | (~v167(constB71))),
% 8.78/6.69 inference(tautology,[status(thm)],[])).
% 8.78/6.69 tff(28600,plain,
% 8.78/6.69 (v145(constB71) | v167(constB71)),
% 8.78/6.69 inference(unit_resolution,[status(thm)],[28599, 28598])).
% 8.78/6.69 tff(28601,plain,
% 8.78/6.69 ((~(v166(constB71) <=> (v145(constB71) | v167(constB71)))) | v166(constB71) | (~(v145(constB71) | v167(constB71)))),
% 8.78/6.69 inference(tautology,[status(thm)],[])).
% 8.78/6.69 tff(28602,plain,
% 8.78/6.69 (v166(constB71)),
% 8.78/6.69 inference(unit_resolution,[status(thm)],[28601, 28600, 28560])).
% 8.78/6.69 tff(28603,plain,
% 8.78/6.69 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB71)) | (v163(constB71) <=> v170(constB71)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB71)) | (v163(constB71) <=> v170(constB71)))),
% 8.78/6.70 inference(rewrite,[status(thm)],[])).
% 8.78/6.70 tff(28604,plain,
% 8.78/6.70 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB71)) | (v163(constB71) <=> v170(constB71)))),
% 8.78/6.70 inference(quant_inst,[status(thm)],[])).
% 8.78/6.70 tff(28605,plain,
% 8.78/6.70 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB71)) | (v163(constB71) <=> v170(constB71))),
% 8.78/6.70 inference(modus_ponens,[status(thm)],[28604, 28603])).
% 8.78/6.70 tff(28606,plain,
% 8.78/6.70 ((~v166(constB71)) | (v163(constB71) <=> v170(constB71))),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28605, 9851])).
% 8.78/6.70 tff(28607,plain,
% 8.78/6.70 (v163(constB71) <=> v170(constB71)),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28606, 28602])).
% 8.78/6.70 tff(28608,plain,
% 8.78/6.70 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB71) <=> (v142(constB71) | v150(constB71)))),
% 8.78/6.70 inference(quant_inst,[status(thm)],[])).
% 8.78/6.70 tff(28609,plain,
% 8.78/6.70 (v171(constB71) <=> (v142(constB71) | v150(constB71))),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28608, 9866])).
% 8.78/6.70 tff(28610,plain,
% 8.78/6.70 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v141(VarCurr) | v151(VarCurr)))) | (v150(constB71) <=> (v141(constB71) | v151(constB71)))),
% 8.78/6.70 inference(quant_inst,[status(thm)],[])).
% 8.78/6.70 tff(28611,plain,
% 8.78/6.70 (v150(constB71) <=> (v141(constB71) | v151(constB71))),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28610, 9878])).
% 8.78/6.70 tff(28612,plain,
% 8.78/6.70 ((v141(constB71) | v151(constB71)) | (~v141(constB71))),
% 8.78/6.70 inference(tautology,[status(thm)],[])).
% 8.78/6.70 tff(28613,plain,
% 8.78/6.70 (v141(constB71) | v151(constB71)),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28612, 28589])).
% 8.78/6.70 tff(28614,plain,
% 8.78/6.70 ((~(v150(constB71) <=> (v141(constB71) | v151(constB71)))) | v150(constB71) | (~(v141(constB71) | v151(constB71)))),
% 8.78/6.70 inference(tautology,[status(thm)],[])).
% 8.78/6.70 tff(28615,plain,
% 8.78/6.70 (v150(constB71)),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28614, 28613, 28611])).
% 8.78/6.70 tff(28616,plain,
% 8.78/6.70 ((v142(constB71) | v150(constB71)) | (~v150(constB71))),
% 8.78/6.70 inference(tautology,[status(thm)],[])).
% 8.78/6.70 tff(28617,plain,
% 8.78/6.70 (v142(constB71) | v150(constB71)),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28616, 28615])).
% 8.78/6.70 tff(28618,plain,
% 8.78/6.70 ((~(v171(constB71) <=> (v142(constB71) | v150(constB71)))) | v171(constB71) | (~(v142(constB71) | v150(constB71)))),
% 8.78/6.70 inference(tautology,[status(thm)],[])).
% 8.78/6.70 tff(28619,plain,
% 8.78/6.70 ((~(v171(constB71) <=> (v142(constB71) | v150(constB71)))) | v171(constB71)),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28618, 28617])).
% 8.78/6.70 tff(28620,plain,
% 8.78/6.70 (v171(constB71)),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28619, 28609])).
% 8.78/6.70 tff(28621,plain,
% 8.78/6.70 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB71)) | (~v171(constB71)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB71)) | (~v171(constB71)))),
% 8.78/6.70 inference(rewrite,[status(thm)],[])).
% 8.78/6.70 tff(28622,plain,
% 8.78/6.70 (((~v171(constB71)) | (~v170(constB71))) <=> ((~v170(constB71)) | (~v171(constB71)))),
% 8.78/6.70 inference(rewrite,[status(thm)],[])).
% 8.78/6.70 tff(28623,plain,
% 8.78/6.70 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB71)) | (~v170(constB71)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB71)) | (~v171(constB71))))),
% 8.78/6.70 inference(monotonicity,[status(thm)],[28622])).
% 8.78/6.70 tff(28624,plain,
% 8.78/6.70 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB71)) | (~v170(constB71)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB71)) | (~v171(constB71)))),
% 8.78/6.70 inference(transitivity,[status(thm)],[28623, 28621])).
% 8.78/6.70 tff(28625,plain,
% 8.78/6.70 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB71)) | (~v170(constB71)))),
% 8.78/6.70 inference(quant_inst,[status(thm)],[])).
% 8.78/6.70 tff(28626,plain,
% 8.78/6.70 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB71)) | (~v171(constB71))),
% 8.78/6.70 inference(modus_ponens,[status(thm)],[28625, 28624])).
% 8.78/6.70 tff(28627,plain,
% 8.78/6.70 (~v170(constB71)),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28626, 9899, 28620])).
% 8.78/6.70 tff(28628,plain,
% 8.78/6.70 ((~(v163(constB71) <=> v170(constB71))) | (~v163(constB71)) | v170(constB71)),
% 8.78/6.70 inference(tautology,[status(thm)],[])).
% 8.78/6.70 tff(28629,plain,
% 8.78/6.70 (~v163(constB71)),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28628, 28627, 28607])).
% 8.78/6.70 tff(28630,plain,
% 8.78/6.70 ((~(v161(constB71) <=> v163(constB71))) | (~v161(constB71)) | v163(constB71)),
% 8.78/6.70 inference(tautology,[status(thm)],[])).
% 8.78/6.70 tff(28631,plain,
% 8.78/6.70 (~v161(constB71)),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28630, 28629, 28558])).
% 8.78/6.70 tff(28632,plain,
% 8.78/6.70 (((~v159(constB71)) | (~v161(constB71))) | v161(constB71)),
% 8.78/6.70 inference(tautology,[status(thm)],[])).
% 8.78/6.70 tff(28633,plain,
% 8.78/6.70 ((~v159(constB71)) | (~v161(constB71))),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28632, 28631])).
% 8.78/6.70 tff(28634,plain,
% 8.78/6.70 ((~(v201(constB71) <=> (~((~v159(constB71)) | (~v161(constB71)))))) | (~v201(constB71)) | (~((~v159(constB71)) | (~v161(constB71))))),
% 8.78/6.70 inference(tautology,[status(thm)],[])).
% 8.78/6.70 tff(28635,plain,
% 8.78/6.70 (~v201(constB71)),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28634, 28633, 28556])).
% 8.78/6.70 tff(28636,plain,
% 8.78/6.70 (((~v197(constB71)) | (~v201(constB71))) | v201(constB71)),
% 8.78/6.70 inference(tautology,[status(thm)],[])).
% 8.78/6.70 tff(28637,plain,
% 8.78/6.70 ((~v197(constB71)) | (~v201(constB71))),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28636, 28635])).
% 8.78/6.70 tff(28638,plain,
% 8.78/6.70 ((~(v200(constB71) <=> (~((~v197(constB71)) | (~v201(constB71)))))) | (~v200(constB71)) | (~((~v197(constB71)) | (~v201(constB71))))),
% 8.78/6.70 inference(tautology,[status(thm)],[])).
% 8.78/6.70 tff(28639,plain,
% 8.78/6.70 (~v200(constB71)),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28638, 28637, 28554])).
% 8.78/6.70 tff(28640,plain,
% 8.78/6.70 (((~v199(constB71)) | (~v200(constB71))) | v200(constB71)),
% 8.78/6.70 inference(tautology,[status(thm)],[])).
% 8.78/6.70 tff(28641,plain,
% 8.78/6.70 ((~v199(constB71)) | (~v200(constB71))),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28640, 28639])).
% 8.78/6.70 tff(28642,plain,
% 8.78/6.70 ((~(v198(constB71) <=> (~((~v199(constB71)) | (~v200(constB71)))))) | (~v198(constB71)) | (~((~v199(constB71)) | (~v200(constB71))))),
% 8.78/6.70 inference(tautology,[status(thm)],[])).
% 8.78/6.70 tff(28643,plain,
% 8.78/6.70 (~v198(constB71)),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28642, 28641, 28552])).
% 8.78/6.70 tff(28644,plain,
% 8.78/6.70 ((~(v194(constB71) | v198(constB71))) | v194(constB71) | v198(constB71)),
% 8.78/6.70 inference(tautology,[status(thm)],[])).
% 8.78/6.70 tff(28645,plain,
% 8.78/6.70 (~(v194(constB71) | v198(constB71))),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28644, 28643, 28550])).
% 8.78/6.70 tff(28646,plain,
% 8.78/6.70 ((~(v191(constB71) <=> (v194(constB71) | v198(constB71)))) | (~v191(constB71)) | (v194(constB71) | v198(constB71))),
% 8.78/6.70 inference(tautology,[status(thm)],[])).
% 8.78/6.70 tff(28647,plain,
% 8.78/6.70 (~v191(constB71)),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28646, 28645, 28477])).
% 8.78/6.70 tff(28648,plain,
% 8.78/6.70 ((~(v193(constB72) <=> v191(constB71))) | (~v193(constB72)) | v191(constB71)),
% 8.78/6.70 inference(tautology,[status(thm)],[])).
% 8.78/6.70 tff(28649,plain,
% 8.78/6.70 (~v193(constB72)),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28648, 28647, 28475])).
% 8.78/6.70 tff(28650,plain,
% 8.78/6.70 ((~(v157(constB72) <=> v193(constB72))) | (~v157(constB72)) | v193(constB72)),
% 8.78/6.70 inference(tautology,[status(thm)],[])).
% 8.78/6.70 tff(28651,plain,
% 8.78/6.70 (~v157(constB72)),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28650, 28649, 28471])).
% 8.78/6.70 tff(28652,plain,
% 8.78/6.70 (((~v157(constB72)) | (~v195(constB72))) | v157(constB72)),
% 8.78/6.70 inference(tautology,[status(thm)],[])).
% 8.78/6.70 tff(28653,plain,
% 8.78/6.70 ((~v157(constB72)) | (~v195(constB72))),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28652, 28651])).
% 8.78/6.70 tff(28654,plain,
% 8.78/6.70 ((~(v194(constB72) <=> (~((~v157(constB72)) | (~v195(constB72)))))) | (~v194(constB72)) | (~((~v157(constB72)) | (~v195(constB72))))),
% 8.78/6.70 inference(tautology,[status(thm)],[])).
% 8.78/6.70 tff(28655,plain,
% 8.78/6.70 (~v194(constB72)),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28654, 28653, 28469])).
% 8.78/6.70 tff(28656,plain,
% 8.78/6.70 ((~(v194(constB72) | v198(constB72))) | v194(constB72) | v198(constB72)),
% 8.78/6.70 inference(tautology,[status(thm)],[])).
% 8.78/6.70 tff(28657,plain,
% 8.78/6.70 (~(v194(constB72) | v198(constB72))),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28656, 28655, 28462])).
% 8.78/6.70 tff(28658,plain,
% 8.78/6.70 ((~(v191(constB72) <=> (v194(constB72) | v198(constB72)))) | (~v191(constB72)) | (v194(constB72) | v198(constB72))),
% 8.78/6.70 inference(tautology,[status(thm)],[])).
% 8.78/6.70 tff(28659,plain,
% 8.78/6.70 (~v191(constB72)),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28658, 28657, 28437])).
% 8.78/6.70 tff(28660,plain,
% 8.78/6.70 ((~(v193(constB73) <=> v191(constB72))) | (~v193(constB73)) | v191(constB72)),
% 8.78/6.70 inference(tautology,[status(thm)],[])).
% 8.78/6.70 tff(28661,plain,
% 8.78/6.70 (~v193(constB73)),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28660, 28659, 28435])).
% 8.78/6.70 tff(28662,plain,
% 8.78/6.70 ($false),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28661, 28431])).
% 8.78/6.70 tff(28663,plain,(~(constB73 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.78/6.70 tff(28664,assumption,(constB37 = VarCurr!0), introduced(assumption)).
% 8.78/6.70 tff(28665,plain,
% 8.78/6.70 (v193(constB37) <=> v193(VarCurr!0)),
% 8.78/6.70 inference(monotonicity,[status(thm)],[28664])).
% 8.78/6.70 tff(28666,plain,
% 8.78/6.70 (v193(VarCurr!0) <=> v193(constB37)),
% 8.78/6.70 inference(symmetry,[status(thm)],[28665])).
% 8.78/6.70 tff(28667,plain,
% 8.78/6.70 (v193(constB37)),
% 8.78/6.70 inference(modus_ponens,[status(thm)],[59, 28666])).
% 8.78/6.70 tff(28668,plain,
% 8.78/6.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB36, constB37)) | (v193(constB37) <=> v191(constB36)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB36, constB37)) | (v193(constB37) <=> v191(constB36)))),
% 8.78/6.70 inference(rewrite,[status(thm)],[])).
% 8.78/6.70 tff(28669,plain,
% 8.78/6.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB36, constB37)) | (v193(constB37) <=> v191(constB36)))),
% 8.78/6.70 inference(quant_inst,[status(thm)],[])).
% 8.78/6.70 tff(28670,plain,
% 8.78/6.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB36, constB37)) | (v193(constB37) <=> v191(constB36))),
% 8.78/6.70 inference(modus_ponens,[status(thm)],[28669, 28668])).
% 8.78/6.70 tff(28671,plain,
% 8.78/6.70 (v193(constB37) <=> v191(constB36)),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28670, 1989, 70])).
% 8.78/6.70 tff(28672,plain,
% 8.78/6.70 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB36) <=> (v194(constB36) | v198(constB36)))),
% 8.78/6.70 inference(quant_inst,[status(thm)],[])).
% 8.78/6.70 tff(28673,plain,
% 8.78/6.70 (v191(constB36) <=> (v194(constB36) | v198(constB36))),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28672, 84])).
% 8.78/6.70 tff(28674,plain,
% 8.78/6.70 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB36) <=> (~((~v199(constB36)) | (~v200(constB36)))))),
% 8.78/6.70 inference(quant_inst,[status(thm)],[])).
% 8.78/6.70 tff(28675,plain,
% 8.78/6.70 (v198(constB36) <=> (~((~v199(constB36)) | (~v200(constB36))))),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28674, 96])).
% 8.78/6.70 tff(28676,plain,
% 8.78/6.70 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB36) <=> (~((~v197(constB36)) | (~v201(constB36)))))),
% 8.78/6.70 inference(quant_inst,[status(thm)],[])).
% 8.78/6.70 tff(28677,plain,
% 8.78/6.70 (v200(constB36) <=> (~((~v197(constB36)) | (~v201(constB36))))),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28676, 108])).
% 8.78/6.70 tff(28678,plain,
% 8.78/6.70 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB36) <=> (~((~v39(constB36)) | (~v9(constB36)))))),
% 8.78/6.70 inference(quant_inst,[status(thm)],[])).
% 8.78/6.70 tff(28679,plain,
% 8.78/6.70 (v197(constB36) <=> (~((~v39(constB36)) | (~v9(constB36))))),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28678, 120])).
% 8.78/6.70 tff(28680,plain,
% 8.78/6.70 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB36)) <=> v1(constB36))),
% 8.78/6.70 inference(quant_inst,[status(thm)],[])).
% 8.78/6.70 tff(28681,plain,
% 8.78/6.70 ((~v39(constB36)) <=> v1(constB36)),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28680, 129])).
% 8.78/6.70 tff(28682,plain,
% 8.78/6.70 ((~((~v39(constB36)) <=> v1(constB36))) | (~v39(constB36)) | (~v1(constB36))),
% 8.78/6.70 inference(tautology,[status(thm)],[])).
% 8.78/6.70 tff(28683,plain,
% 8.78/6.70 ((~((~v39(constB36)) <=> v1(constB36))) | (~v39(constB36))),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28682, 6208])).
% 8.78/6.70 tff(28684,plain,
% 8.78/6.70 (~v39(constB36)),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28683, 28681])).
% 8.78/6.70 tff(28685,plain,
% 8.78/6.70 (((~v39(constB36)) | (~v9(constB36))) | v39(constB36)),
% 8.78/6.70 inference(tautology,[status(thm)],[])).
% 8.78/6.70 tff(28686,plain,
% 8.78/6.70 ((~v39(constB36)) | (~v9(constB36))),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28685, 28684])).
% 8.78/6.70 tff(28687,plain,
% 8.78/6.70 ((~(v197(constB36) <=> (~((~v39(constB36)) | (~v9(constB36)))))) | (~v197(constB36)) | (~((~v39(constB36)) | (~v9(constB36))))),
% 8.78/6.70 inference(tautology,[status(thm)],[])).
% 8.78/6.70 tff(28688,plain,
% 8.78/6.70 ((~(v197(constB36) <=> (~((~v39(constB36)) | (~v9(constB36)))))) | (~v197(constB36))),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28687, 28686])).
% 8.78/6.70 tff(28689,plain,
% 8.78/6.70 (~v197(constB36)),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28688, 28679])).
% 8.78/6.70 tff(28690,plain,
% 8.78/6.70 (((~v197(constB36)) | (~v201(constB36))) | v197(constB36)),
% 8.78/6.70 inference(tautology,[status(thm)],[])).
% 8.78/6.70 tff(28691,plain,
% 8.78/6.70 ((~v197(constB36)) | (~v201(constB36))),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28690, 28689])).
% 8.78/6.70 tff(28692,plain,
% 8.78/6.70 ((~(v200(constB36) <=> (~((~v197(constB36)) | (~v201(constB36)))))) | (~v200(constB36)) | (~((~v197(constB36)) | (~v201(constB36))))),
% 8.78/6.70 inference(tautology,[status(thm)],[])).
% 8.78/6.70 tff(28693,plain,
% 8.78/6.70 ((~(v200(constB36) <=> (~((~v197(constB36)) | (~v201(constB36)))))) | (~v200(constB36))),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28692, 28691])).
% 8.78/6.70 tff(28694,plain,
% 8.78/6.70 (~v200(constB36)),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28693, 28677])).
% 8.78/6.70 tff(28695,plain,
% 8.78/6.70 (((~v199(constB36)) | (~v200(constB36))) | v200(constB36)),
% 8.78/6.70 inference(tautology,[status(thm)],[])).
% 8.78/6.70 tff(28696,plain,
% 8.78/6.70 ((~v199(constB36)) | (~v200(constB36))),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28695, 28694])).
% 8.78/6.70 tff(28697,plain,
% 8.78/6.70 ((~(v198(constB36) <=> (~((~v199(constB36)) | (~v200(constB36)))))) | (~v198(constB36)) | (~((~v199(constB36)) | (~v200(constB36))))),
% 8.78/6.70 inference(tautology,[status(thm)],[])).
% 8.78/6.70 tff(28698,plain,
% 8.78/6.70 (~v198(constB36)),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28697, 28696, 28675])).
% 8.78/6.70 tff(28699,plain,
% 8.78/6.70 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB36) <=> (~((~v157(constB36)) | (~v195(constB36)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB36) <=> (~((~v157(constB36)) | (~v195(constB36))))))),
% 8.78/6.70 inference(rewrite,[status(thm)],[])).
% 8.78/6.70 tff(28700,plain,
% 8.78/6.70 ((v194(constB36) <=> (~((~v195(constB36)) | (~v157(constB36))))) <=> (v194(constB36) <=> (~((~v157(constB36)) | (~v195(constB36)))))),
% 8.78/6.70 inference(rewrite,[status(thm)],[])).
% 8.78/6.70 tff(28701,plain,
% 8.78/6.70 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB36) <=> (~((~v195(constB36)) | (~v157(constB36)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB36) <=> (~((~v157(constB36)) | (~v195(constB36))))))),
% 8.78/6.70 inference(monotonicity,[status(thm)],[28700])).
% 8.78/6.70 tff(28702,plain,
% 8.78/6.70 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB36) <=> (~((~v195(constB36)) | (~v157(constB36)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB36) <=> (~((~v157(constB36)) | (~v195(constB36))))))),
% 8.78/6.70 inference(transitivity,[status(thm)],[28701, 28699])).
% 8.78/6.70 tff(28703,plain,
% 8.78/6.70 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB36) <=> (~((~v195(constB36)) | (~v157(constB36)))))),
% 8.78/6.70 inference(quant_inst,[status(thm)],[])).
% 8.78/6.70 tff(28704,plain,
% 8.78/6.70 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB36) <=> (~((~v157(constB36)) | (~v195(constB36)))))),
% 8.78/6.70 inference(modus_ponens,[status(thm)],[28703, 28702])).
% 8.78/6.70 tff(28705,plain,
% 8.78/6.70 (v194(constB36) <=> (~((~v157(constB36)) | (~v195(constB36))))),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28704, 161])).
% 8.78/6.70 tff(28706,plain,
% 8.78/6.70 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB36) <=> v193(constB36))),
% 8.78/6.70 inference(quant_inst,[status(thm)],[])).
% 8.78/6.70 tff(28707,plain,
% 8.78/6.70 (v157(constB36) <=> v193(constB36)),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28706, 13])).
% 8.78/6.70 tff(28708,plain,
% 8.78/6.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB35, constB36)) | (v193(constB36) <=> v191(constB35)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB35, constB36)) | (v193(constB36) <=> v191(constB35)))),
% 8.78/6.70 inference(rewrite,[status(thm)],[])).
% 8.78/6.70 tff(28709,plain,
% 8.78/6.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB35, constB36)) | (v193(constB36) <=> v191(constB35)))),
% 8.78/6.70 inference(quant_inst,[status(thm)],[])).
% 8.78/6.70 tff(28710,plain,
% 8.78/6.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB35, constB36)) | (v193(constB36) <=> v191(constB35))),
% 8.78/6.70 inference(modus_ponens,[status(thm)],[28709, 28708])).
% 8.78/6.70 tff(28711,plain,
% 8.78/6.70 (v193(constB36) <=> v191(constB35)),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28710, 2025, 70])).
% 8.78/6.70 tff(28712,plain,
% 8.78/6.70 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB35) <=> (v194(constB35) | v198(constB35)))),
% 8.78/6.70 inference(quant_inst,[status(thm)],[])).
% 8.78/6.70 tff(28713,plain,
% 8.78/6.70 (v191(constB35) <=> (v194(constB35) | v198(constB35))),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28712, 84])).
% 8.78/6.70 tff(28714,plain,
% 8.78/6.70 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB35) <=> (~((~v157(constB35)) | (~v195(constB35)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB35) <=> (~((~v157(constB35)) | (~v195(constB35))))))),
% 8.78/6.70 inference(rewrite,[status(thm)],[])).
% 8.78/6.70 tff(28715,plain,
% 8.78/6.70 ((v194(constB35) <=> (~((~v195(constB35)) | (~v157(constB35))))) <=> (v194(constB35) <=> (~((~v157(constB35)) | (~v195(constB35)))))),
% 8.78/6.70 inference(rewrite,[status(thm)],[])).
% 8.78/6.70 tff(28716,plain,
% 8.78/6.70 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB35) <=> (~((~v195(constB35)) | (~v157(constB35)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB35) <=> (~((~v157(constB35)) | (~v195(constB35))))))),
% 8.78/6.70 inference(monotonicity,[status(thm)],[28715])).
% 8.78/6.70 tff(28717,plain,
% 8.78/6.70 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB35) <=> (~((~v195(constB35)) | (~v157(constB35)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB35) <=> (~((~v157(constB35)) | (~v195(constB35))))))),
% 8.78/6.70 inference(transitivity,[status(thm)],[28716, 28714])).
% 8.78/6.70 tff(28718,plain,
% 8.78/6.70 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB35) <=> (~((~v195(constB35)) | (~v157(constB35)))))),
% 8.78/6.70 inference(quant_inst,[status(thm)],[])).
% 8.78/6.70 tff(28719,plain,
% 8.78/6.70 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB35) <=> (~((~v157(constB35)) | (~v195(constB35)))))),
% 8.78/6.70 inference(modus_ponens,[status(thm)],[28718, 28717])).
% 8.78/6.70 tff(28720,plain,
% 8.78/6.70 (v194(constB35) <=> (~((~v157(constB35)) | (~v195(constB35))))),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28719, 161])).
% 8.78/6.70 tff(28721,plain,
% 8.78/6.70 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB35)) <=> v196(constB35))),
% 8.78/6.70 inference(quant_inst,[status(thm)],[])).
% 8.78/6.70 tff(28722,plain,
% 8.78/6.70 ((~v195(constB35)) <=> v196(constB35)),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28721, 193])).
% 8.78/6.70 tff(28723,plain,
% 8.78/6.70 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB35) <=> (v197(constB35) | v26(constB35)))),
% 8.78/6.70 inference(quant_inst,[status(thm)],[])).
% 8.78/6.70 tff(28724,plain,
% 8.78/6.70 (v196(constB35) <=> (v197(constB35) | v26(constB35))),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28723, 202])).
% 8.78/6.70 tff(28725,plain,
% 8.78/6.70 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB35) <=> (~((~v39(constB35)) | (~v9(constB35)))))),
% 8.78/6.70 inference(quant_inst,[status(thm)],[])).
% 8.78/6.70 tff(28726,plain,
% 8.78/6.70 (v197(constB35) <=> (~((~v39(constB35)) | (~v9(constB35))))),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28725, 120])).
% 8.78/6.70 tff(28727,plain,
% 8.78/6.70 (((~![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)))),
% 8.78/6.70 inference(rewrite,[status(thm)],[])).
% 8.78/6.70 tff(28728,plain,
% 8.78/6.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB35, constB36)) | (v13(constB36) <=> v9(constB35)))),
% 8.78/6.70 inference(quant_inst,[status(thm)],[])).
% 8.78/6.70 tff(28729,plain,
% 8.78/6.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB35, constB36)) | (v13(constB36) <=> v9(constB35))),
% 8.78/6.70 inference(modus_ponens,[status(thm)],[28728, 28727])).
% 8.78/6.70 tff(28730,plain,
% 8.78/6.70 (v13(constB36) <=> v9(constB35)),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28729, 2025, 216])).
% 8.78/6.70 tff(28731,plain,
% 8.78/6.70 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB36) <=> v13(constB36))),
% 8.78/6.70 inference(quant_inst,[status(thm)],[])).
% 8.78/6.70 tff(28732,plain,
% 8.78/6.70 (v6(constB36) <=> v13(constB36)),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28731, 230])).
% 8.78/6.70 tff(28733,plain,
% 8.78/6.70 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB36)) <=> v6(constB36))),
% 8.78/6.70 inference(quant_inst,[status(thm)],[])).
% 8.78/6.70 tff(28734,plain,
% 8.78/6.70 ((~v21(constB36)) <=> v6(constB36)),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28733, 239])).
% 8.78/6.70 tff(28735,plain,
% 8.78/6.70 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB36) <=> (v20(constB36) | v21(constB36)))),
% 8.78/6.70 inference(quant_inst,[status(thm)],[])).
% 8.78/6.70 tff(28736,plain,
% 8.78/6.70 (v19(constB36) <=> (v20(constB36) | v21(constB36))),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28735, 248])).
% 8.78/6.70 tff(28737,plain,
% 8.78/6.70 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB36) <=> (~((~v19(constB36)) | (~v22(constB36)))))),
% 8.78/6.70 inference(quant_inst,[status(thm)],[])).
% 8.78/6.70 tff(28738,plain,
% 8.78/6.70 (v18(constB36) <=> (~((~v19(constB36)) | (~v22(constB36))))),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28737, 260])).
% 8.78/6.70 tff(28739,plain,
% 8.78/6.70 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB36)) <=> v18(constB36))),
% 8.78/6.70 inference(quant_inst,[status(thm)],[])).
% 8.78/6.70 tff(28740,plain,
% 8.78/6.70 ((~v4(constB36)) <=> v18(constB36)),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28739, 269])).
% 8.78/6.70 tff(28741,plain,
% 8.78/6.70 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB36)),
% 8.78/6.70 inference(quant_inst,[status(thm)],[])).
% 8.78/6.70 tff(28742,plain,
% 8.78/6.70 (v4(constB36)),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28741, 278])).
% 8.78/6.70 tff(28743,plain,
% 8.78/6.70 ((~((~v4(constB36)) <=> v18(constB36))) | (~v4(constB36)) | (~v18(constB36))),
% 8.78/6.70 inference(tautology,[status(thm)],[])).
% 8.78/6.70 tff(28744,plain,
% 8.78/6.70 (~v18(constB36)),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28743, 28742, 28740])).
% 8.78/6.70 tff(28745,plain,
% 8.78/6.70 ((~(v18(constB36) <=> (~((~v19(constB36)) | (~v22(constB36)))))) | v18(constB36) | ((~v19(constB36)) | (~v22(constB36)))),
% 8.78/6.70 inference(tautology,[status(thm)],[])).
% 8.78/6.70 tff(28746,plain,
% 8.78/6.70 ((~v19(constB36)) | (~v22(constB36))),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28745, 28744, 28738])).
% 8.78/6.70 tff(28747,plain,
% 8.78/6.70 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB36) <=> (v1(constB36) | v6(constB36)))),
% 8.78/6.70 inference(quant_inst,[status(thm)],[])).
% 8.78/6.70 tff(28748,plain,
% 8.78/6.70 (v22(constB36) <=> (v1(constB36) | v6(constB36))),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28747, 291])).
% 8.78/6.70 tff(28749,plain,
% 8.78/6.70 ((v1(constB36) | v6(constB36)) | (~v1(constB36))),
% 8.78/6.70 inference(tautology,[status(thm)],[])).
% 8.78/6.70 tff(28750,plain,
% 8.78/6.70 (v1(constB36) | v6(constB36)),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28749, 6208])).
% 8.78/6.70 tff(28751,plain,
% 8.78/6.70 ((~(v22(constB36) <=> (v1(constB36) | v6(constB36)))) | v22(constB36) | (~(v1(constB36) | v6(constB36)))),
% 8.78/6.70 inference(tautology,[status(thm)],[])).
% 8.78/6.70 tff(28752,plain,
% 8.78/6.70 ((~(v22(constB36) <=> (v1(constB36) | v6(constB36)))) | v22(constB36)),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28751, 28750])).
% 8.78/6.70 tff(28753,plain,
% 8.78/6.70 (v22(constB36)),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28752, 28748])).
% 8.78/6.70 tff(28754,plain,
% 8.78/6.70 ((~((~v19(constB36)) | (~v22(constB36)))) | (~v19(constB36)) | (~v22(constB36))),
% 8.78/6.70 inference(tautology,[status(thm)],[])).
% 8.78/6.70 tff(28755,plain,
% 8.78/6.70 ((~((~v19(constB36)) | (~v22(constB36)))) | (~v19(constB36))),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28754, 28753])).
% 8.78/6.70 tff(28756,plain,
% 8.78/6.70 (~v19(constB36)),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28755, 28746])).
% 8.78/6.70 tff(28757,plain,
% 8.78/6.70 ((~(v19(constB36) <=> (v20(constB36) | v21(constB36)))) | v19(constB36) | (~(v20(constB36) | v21(constB36)))),
% 8.78/6.70 inference(tautology,[status(thm)],[])).
% 8.78/6.70 tff(28758,plain,
% 8.78/6.70 (~(v20(constB36) | v21(constB36))),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28757, 28756, 28736])).
% 8.78/6.70 tff(28759,plain,
% 8.78/6.70 ((v20(constB36) | v21(constB36)) | (~v21(constB36))),
% 8.78/6.70 inference(tautology,[status(thm)],[])).
% 8.78/6.70 tff(28760,plain,
% 8.78/6.70 (~v21(constB36)),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28759, 28758])).
% 8.78/6.70 tff(28761,plain,
% 8.78/6.70 ((~((~v21(constB36)) <=> v6(constB36))) | v21(constB36) | v6(constB36)),
% 8.78/6.70 inference(tautology,[status(thm)],[])).
% 8.78/6.70 tff(28762,plain,
% 8.78/6.70 (v6(constB36)),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28761, 28760, 28734])).
% 8.78/6.70 tff(28763,plain,
% 8.78/6.70 ((~(v6(constB36) <=> v13(constB36))) | (~v6(constB36)) | v13(constB36)),
% 8.78/6.70 inference(tautology,[status(thm)],[])).
% 8.78/6.70 tff(28764,plain,
% 8.78/6.70 (v13(constB36)),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28763, 28762, 28732])).
% 8.78/6.70 tff(28765,plain,
% 8.78/6.70 ((~(v13(constB36) <=> v9(constB35))) | (~v13(constB36)) | v9(constB35)),
% 8.78/6.70 inference(tautology,[status(thm)],[])).
% 8.78/6.70 tff(28766,plain,
% 8.78/6.70 (v9(constB35)),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28765, 28764, 28730])).
% 8.78/6.70 tff(28767,plain,
% 8.78/6.70 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB35)) <=> v1(constB35))),
% 8.78/6.70 inference(quant_inst,[status(thm)],[])).
% 8.78/6.70 tff(28768,plain,
% 8.78/6.70 ((~v39(constB35)) <=> v1(constB35)),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28767, 129])).
% 8.78/6.70 tff(28769,plain,
% 8.78/6.70 ((~((~v39(constB35)) <=> v1(constB35))) | v39(constB35) | v1(constB35)),
% 8.78/6.70 inference(tautology,[status(thm)],[])).
% 8.78/6.70 tff(28770,plain,
% 8.78/6.70 ((~((~v39(constB35)) <=> v1(constB35))) | v39(constB35)),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28769, 2064])).
% 8.78/6.70 tff(28771,plain,
% 8.78/6.70 (v39(constB35)),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28770, 28768])).
% 8.78/6.70 tff(28772,plain,
% 8.78/6.70 ((~((~v39(constB35)) | (~v9(constB35)))) | (~v39(constB35)) | (~v9(constB35))),
% 8.78/6.70 inference(tautology,[status(thm)],[])).
% 8.78/6.70 tff(28773,plain,
% 8.78/6.70 ((~((~v39(constB35)) | (~v9(constB35)))) | (~v9(constB35))),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28772, 28771])).
% 8.78/6.70 tff(28774,plain,
% 8.78/6.70 (~((~v39(constB35)) | (~v9(constB35)))),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28773, 28766])).
% 8.78/6.70 tff(28775,plain,
% 8.78/6.70 ((~(v197(constB35) <=> (~((~v39(constB35)) | (~v9(constB35)))))) | v197(constB35) | ((~v39(constB35)) | (~v9(constB35)))),
% 8.78/6.70 inference(tautology,[status(thm)],[])).
% 8.78/6.70 tff(28776,plain,
% 8.78/6.70 (v197(constB35)),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28775, 28774, 28726])).
% 8.78/6.70 tff(28777,plain,
% 8.78/6.70 ((v197(constB35) | v26(constB35)) | (~v197(constB35))),
% 8.78/6.70 inference(tautology,[status(thm)],[])).
% 8.78/6.70 tff(28778,plain,
% 8.78/6.70 (v197(constB35) | v26(constB35)),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28777, 28776])).
% 8.78/6.70 tff(28779,plain,
% 8.78/6.70 ((~(v196(constB35) <=> (v197(constB35) | v26(constB35)))) | v196(constB35) | (~(v197(constB35) | v26(constB35)))),
% 8.78/6.70 inference(tautology,[status(thm)],[])).
% 8.78/6.70 tff(28780,plain,
% 8.78/6.70 (v196(constB35)),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28779, 28778, 28724])).
% 8.78/6.70 tff(28781,plain,
% 8.78/6.70 ((~((~v195(constB35)) <=> v196(constB35))) | (~v195(constB35)) | (~v196(constB35))),
% 8.78/6.70 inference(tautology,[status(thm)],[])).
% 8.78/6.70 tff(28782,plain,
% 8.78/6.70 (~v195(constB35)),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28781, 28780, 28722])).
% 8.78/6.70 tff(28783,plain,
% 8.78/6.70 (((~v157(constB35)) | (~v195(constB35))) | v195(constB35)),
% 8.78/6.70 inference(tautology,[status(thm)],[])).
% 8.78/6.70 tff(28784,plain,
% 8.78/6.70 ((~v157(constB35)) | (~v195(constB35))),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28783, 28782])).
% 8.78/6.70 tff(28785,plain,
% 8.78/6.70 ((~(v194(constB35) <=> (~((~v157(constB35)) | (~v195(constB35)))))) | (~v194(constB35)) | (~((~v157(constB35)) | (~v195(constB35))))),
% 8.78/6.70 inference(tautology,[status(thm)],[])).
% 8.78/6.70 tff(28786,plain,
% 8.78/6.70 (~v194(constB35)),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28785, 28784, 28720])).
% 8.78/6.70 tff(28787,plain,
% 8.78/6.70 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB35) <=> (~((~v199(constB35)) | (~v200(constB35)))))),
% 8.78/6.70 inference(quant_inst,[status(thm)],[])).
% 8.78/6.70 tff(28788,plain,
% 8.78/6.70 (v198(constB35) <=> (~((~v199(constB35)) | (~v200(constB35))))),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28787, 96])).
% 8.78/6.70 tff(28789,plain,
% 8.78/6.70 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB35) <=> (~((~v197(constB35)) | (~v201(constB35)))))),
% 8.78/6.70 inference(quant_inst,[status(thm)],[])).
% 8.78/6.70 tff(28790,plain,
% 8.78/6.70 (v200(constB35) <=> (~((~v197(constB35)) | (~v201(constB35))))),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28789, 108])).
% 8.78/6.70 tff(28791,plain,
% 8.78/6.70 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB35) <=> (~((~v159(constB35)) | (~v161(constB35)))))),
% 8.78/6.70 inference(quant_inst,[status(thm)],[])).
% 8.78/6.70 tff(28792,plain,
% 8.78/6.70 (v201(constB35) <=> (~((~v159(constB35)) | (~v161(constB35))))),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28791, 348])).
% 8.78/6.70 tff(28793,plain,
% 8.78/6.70 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB35) <=> v163(constB35))),
% 8.78/6.70 inference(quant_inst,[status(thm)],[])).
% 8.78/6.70 tff(28794,plain,
% 8.78/6.70 (v161(constB35) <=> v163(constB35)),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28793, 357])).
% 8.78/6.70 tff(28795,plain,
% 8.78/6.70 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB35) <=> (v145(constB35) | v167(constB35)))),
% 8.78/6.70 inference(quant_inst,[status(thm)],[])).
% 8.78/6.70 tff(28796,plain,
% 8.78/6.70 (v166(constB35) <=> (v145(constB35) | v167(constB35))),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28795, 369])).
% 8.78/6.70 tff(28797,plain,
% 8.78/6.70 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB35) <=> (v142(constB35) | v168(constB35)))),
% 8.78/6.70 inference(quant_inst,[status(thm)],[])).
% 8.78/6.70 tff(28798,plain,
% 8.78/6.70 (v167(constB35) <=> (v142(constB35) | v168(constB35))),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28797, 381])).
% 8.78/6.70 tff(28799,plain,
% 8.78/6.70 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB35) <=> (v143(constB35) | v144(constB35)))),
% 8.78/6.70 inference(quant_inst,[status(thm)],[])).
% 8.78/6.70 tff(28800,plain,
% 8.78/6.70 (v142(constB35) <=> (v143(constB35) | v144(constB35))),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28799, 10332])).
% 8.78/6.70 tff(28801,plain,
% 8.78/6.70 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB35) <=> (~((~v88(constB35, bitIndex1)) | (~v88(constB35, bitIndex2)) | v88(constB35, bitIndex0))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB35) <=> (~((~v88(constB35, bitIndex1)) | (~v88(constB35, bitIndex2)) | v88(constB35, bitIndex0)))))),
% 8.78/6.70 inference(rewrite,[status(thm)],[])).
% 8.78/6.70 tff(28802,plain,
% 8.78/6.70 ((v144(constB35) <=> (~(v88(constB35, bitIndex0) | (~v88(constB35, bitIndex1)) | (~v88(constB35, bitIndex2))))) <=> (v144(constB35) <=> (~((~v88(constB35, bitIndex1)) | (~v88(constB35, bitIndex2)) | v88(constB35, bitIndex0))))),
% 8.78/6.70 inference(rewrite,[status(thm)],[])).
% 8.78/6.70 tff(28803,plain,
% 8.78/6.70 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB35) <=> (~(v88(constB35, bitIndex0) | (~v88(constB35, bitIndex1)) | (~v88(constB35, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB35) <=> (~((~v88(constB35, bitIndex1)) | (~v88(constB35, bitIndex2)) | v88(constB35, bitIndex0)))))),
% 8.78/6.70 inference(monotonicity,[status(thm)],[28802])).
% 8.78/6.70 tff(28804,plain,
% 8.78/6.70 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB35) <=> (~(v88(constB35, bitIndex0) | (~v88(constB35, bitIndex1)) | (~v88(constB35, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB35) <=> (~((~v88(constB35, bitIndex1)) | (~v88(constB35, bitIndex2)) | v88(constB35, bitIndex0)))))),
% 8.78/6.70 inference(transitivity,[status(thm)],[28803, 28801])).
% 8.78/6.70 tff(28805,plain,
% 8.78/6.70 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB35) <=> (~(v88(constB35, bitIndex0) | (~v88(constB35, bitIndex1)) | (~v88(constB35, bitIndex2)))))),
% 8.78/6.70 inference(quant_inst,[status(thm)],[])).
% 8.78/6.70 tff(28806,plain,
% 8.78/6.70 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB35) <=> (~((~v88(constB35, bitIndex1)) | (~v88(constB35, bitIndex2)) | v88(constB35, bitIndex0))))),
% 8.78/6.70 inference(modus_ponens,[status(thm)],[28805, 28804])).
% 8.78/6.70 tff(28807,plain,
% 8.78/6.70 (v144(constB35) <=> (~((~v88(constB35, bitIndex1)) | (~v88(constB35, bitIndex2)) | v88(constB35, bitIndex0)))),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28806, 10347])).
% 8.78/6.70 tff(28808,plain,
% 8.78/6.70 ((~![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))) | (~(((~v88(constB35, bitIndex1)) <=> v90(constB35, bitIndex1)) | ((~v88(constB35, bitIndex2)) <=> v90(constB35, bitIndex2)) | ((~v88(constB35, bitIndex0)) <=> v90(constB35, bitIndex0))))),
% 8.78/6.70 inference(quant_inst,[status(thm)],[])).
% 8.78/6.70 tff(28809,plain,
% 8.78/6.70 (~(((~v88(constB35, bitIndex1)) <=> v90(constB35, bitIndex1)) | ((~v88(constB35, bitIndex2)) <=> v90(constB35, bitIndex2)) | ((~v88(constB35, bitIndex0)) <=> v90(constB35, bitIndex0)))),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28808, 428])).
% 8.78/6.70 tff(28810,plain,
% 8.78/6.70 ((((~v88(constB35, bitIndex1)) <=> v90(constB35, bitIndex1)) | ((~v88(constB35, bitIndex2)) <=> v90(constB35, bitIndex2)) | ((~v88(constB35, bitIndex0)) <=> v90(constB35, bitIndex0))) | (~((~v88(constB35, bitIndex2)) <=> v90(constB35, bitIndex2)))),
% 8.78/6.70 inference(tautology,[status(thm)],[])).
% 8.78/6.70 tff(28811,plain,
% 8.78/6.70 (~((~v88(constB35, bitIndex2)) <=> v90(constB35, bitIndex2))),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28810, 28809])).
% 8.78/6.70 tff(28812,plain,
% 8.78/6.70 (((~v88(constB35, bitIndex2)) <=> v90(constB35, bitIndex2)) | v88(constB35, bitIndex2) | (~v90(constB35, bitIndex2))),
% 8.78/6.70 inference(tautology,[status(thm)],[])).
% 8.78/6.70 tff(28813,plain,
% 8.78/6.70 (v88(constB35, bitIndex2)),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28812, 6154, 28811])).
% 8.78/6.70 tff(28814,plain,
% 8.78/6.70 ((((~v88(constB35, bitIndex1)) <=> v90(constB35, bitIndex1)) | ((~v88(constB35, bitIndex2)) <=> v90(constB35, bitIndex2)) | ((~v88(constB35, bitIndex0)) <=> v90(constB35, bitIndex0))) | (~((~v88(constB35, bitIndex0)) <=> v90(constB35, bitIndex0)))),
% 8.78/6.70 inference(tautology,[status(thm)],[])).
% 8.78/6.70 tff(28815,plain,
% 8.78/6.70 (~((~v88(constB35, bitIndex0)) <=> v90(constB35, bitIndex0))),
% 8.78/6.70 inference(unit_resolution,[status(thm)],[28814, 28809])).
% 8.78/6.70 tff(28816,plain,
% 8.78/6.71 (((~v88(constB35, bitIndex0)) <=> v90(constB35, bitIndex0)) | (~v88(constB35, bitIndex0)) | v90(constB35, bitIndex0)),
% 8.78/6.71 inference(tautology,[status(thm)],[])).
% 8.78/6.71 tff(28817,plain,
% 8.78/6.71 (~v88(constB35, bitIndex0)),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[28816, 6074, 28815])).
% 8.78/6.71 tff(28818,plain,
% 8.78/6.71 ((((~v88(constB35, bitIndex1)) <=> v90(constB35, bitIndex1)) | ((~v88(constB35, bitIndex2)) <=> v90(constB35, bitIndex2)) | ((~v88(constB35, bitIndex0)) <=> v90(constB35, bitIndex0))) | (~((~v88(constB35, bitIndex1)) <=> v90(constB35, bitIndex1)))),
% 8.78/6.71 inference(tautology,[status(thm)],[])).
% 8.78/6.71 tff(28819,plain,
% 8.78/6.71 (~((~v88(constB35, bitIndex1)) <=> v90(constB35, bitIndex1))),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[28818, 28809])).
% 8.78/6.71 tff(28820,plain,
% 8.78/6.71 (((~v88(constB35, bitIndex1)) <=> v90(constB35, bitIndex1)) | v88(constB35, bitIndex1) | (~v90(constB35, bitIndex1))),
% 8.78/6.71 inference(tautology,[status(thm)],[])).
% 8.78/6.71 tff(28821,plain,
% 8.78/6.71 (v88(constB35, bitIndex1)),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[28820, 6114, 28819])).
% 8.78/6.71 tff(28822,plain,
% 8.78/6.71 ((~((~v88(constB35, bitIndex1)) | (~v88(constB35, bitIndex2)) | v88(constB35, bitIndex0))) | (~v88(constB35, bitIndex1)) | (~v88(constB35, bitIndex2)) | v88(constB35, bitIndex0)),
% 8.78/6.71 inference(tautology,[status(thm)],[])).
% 8.78/6.71 tff(28823,plain,
% 8.78/6.71 (~((~v88(constB35, bitIndex1)) | (~v88(constB35, bitIndex2)) | v88(constB35, bitIndex0))),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[28822, 28821, 28817, 28813])).
% 8.78/6.71 tff(28824,plain,
% 8.78/6.71 ((~(v144(constB35) <=> (~((~v88(constB35, bitIndex1)) | (~v88(constB35, bitIndex2)) | v88(constB35, bitIndex0))))) | v144(constB35) | ((~v88(constB35, bitIndex1)) | (~v88(constB35, bitIndex2)) | v88(constB35, bitIndex0))),
% 8.78/6.71 inference(tautology,[status(thm)],[])).
% 8.78/6.71 tff(28825,plain,
% 8.78/6.71 (v144(constB35)),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[28824, 28823, 28807])).
% 8.78/6.71 tff(28826,plain,
% 8.78/6.71 ((v143(constB35) | v144(constB35)) | (~v144(constB35))),
% 8.78/6.71 inference(tautology,[status(thm)],[])).
% 8.78/6.71 tff(28827,plain,
% 8.78/6.71 (v143(constB35) | v144(constB35)),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[28826, 28825])).
% 8.78/6.71 tff(28828,plain,
% 8.78/6.71 ((~(v142(constB35) <=> (v143(constB35) | v144(constB35)))) | v142(constB35) | (~(v143(constB35) | v144(constB35)))),
% 8.78/6.71 inference(tautology,[status(thm)],[])).
% 8.78/6.71 tff(28829,plain,
% 8.78/6.71 (v142(constB35)),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[28828, 28827, 28800])).
% 8.78/6.71 tff(28830,plain,
% 8.78/6.71 ((v142(constB35) | v168(constB35)) | (~v142(constB35))),
% 8.78/6.71 inference(tautology,[status(thm)],[])).
% 8.78/6.71 tff(28831,plain,
% 8.78/6.71 (v142(constB35) | v168(constB35)),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[28830, 28829])).
% 8.78/6.71 tff(28832,plain,
% 8.78/6.71 ((~(v167(constB35) <=> (v142(constB35) | v168(constB35)))) | v167(constB35) | (~(v142(constB35) | v168(constB35)))),
% 8.78/6.71 inference(tautology,[status(thm)],[])).
% 8.78/6.71 tff(28833,plain,
% 8.78/6.71 ((~(v167(constB35) <=> (v142(constB35) | v168(constB35)))) | v167(constB35)),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[28832, 28831])).
% 8.78/6.71 tff(28834,plain,
% 8.78/6.71 (v167(constB35)),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[28833, 28798])).
% 8.78/6.71 tff(28835,plain,
% 8.78/6.71 ((v145(constB35) | v167(constB35)) | (~v167(constB35))),
% 8.78/6.71 inference(tautology,[status(thm)],[])).
% 8.78/6.71 tff(28836,plain,
% 8.78/6.71 (v145(constB35) | v167(constB35)),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[28835, 28834])).
% 8.78/6.71 tff(28837,plain,
% 8.78/6.71 ((~(v166(constB35) <=> (v145(constB35) | v167(constB35)))) | v166(constB35) | (~(v145(constB35) | v167(constB35)))),
% 8.78/6.71 inference(tautology,[status(thm)],[])).
% 8.78/6.71 tff(28838,plain,
% 8.78/6.71 (v166(constB35)),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[28837, 28836, 28796])).
% 8.78/6.71 tff(28839,plain,
% 8.78/6.71 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB35)) | (v163(constB35) <=> v170(constB35)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB35)) | (v163(constB35) <=> v170(constB35)))),
% 8.78/6.71 inference(rewrite,[status(thm)],[])).
% 8.78/6.71 tff(28840,plain,
% 8.78/6.71 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB35)) | (v163(constB35) <=> v170(constB35)))),
% 8.78/6.71 inference(quant_inst,[status(thm)],[])).
% 8.78/6.71 tff(28841,plain,
% 8.78/6.71 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB35)) | (v163(constB35) <=> v170(constB35))),
% 8.78/6.71 inference(modus_ponens,[status(thm)],[28840, 28839])).
% 8.78/6.71 tff(28842,plain,
% 8.78/6.71 ((~v166(constB35)) | (v163(constB35) <=> v170(constB35))),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[28841, 9851])).
% 8.78/6.71 tff(28843,plain,
% 8.78/6.71 (v163(constB35) <=> v170(constB35)),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[28842, 28838])).
% 8.78/6.71 tff(28844,plain,
% 8.78/6.71 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB35) <=> (v142(constB35) | v150(constB35)))),
% 8.78/6.71 inference(quant_inst,[status(thm)],[])).
% 8.78/6.71 tff(28845,plain,
% 8.78/6.71 (v171(constB35) <=> (v142(constB35) | v150(constB35))),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[28844, 9866])).
% 8.78/6.71 tff(28846,plain,
% 8.78/6.71 ((v142(constB35) | v150(constB35)) | (~v142(constB35))),
% 8.78/6.71 inference(tautology,[status(thm)],[])).
% 8.78/6.71 tff(28847,plain,
% 8.78/6.71 (v142(constB35) | v150(constB35)),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[28846, 28829])).
% 8.78/6.71 tff(28848,plain,
% 8.78/6.71 ((~(v171(constB35) <=> (v142(constB35) | v150(constB35)))) | v171(constB35) | (~(v142(constB35) | v150(constB35)))),
% 8.78/6.71 inference(tautology,[status(thm)],[])).
% 8.78/6.71 tff(28849,plain,
% 8.78/6.71 ((~(v171(constB35) <=> (v142(constB35) | v150(constB35)))) | v171(constB35)),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[28848, 28847])).
% 8.78/6.71 tff(28850,plain,
% 8.78/6.71 (v171(constB35)),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[28849, 28845])).
% 8.78/6.71 tff(28851,plain,
% 8.78/6.71 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB35)) | (~v171(constB35)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB35)) | (~v171(constB35)))),
% 8.78/6.71 inference(rewrite,[status(thm)],[])).
% 8.78/6.71 tff(28852,plain,
% 8.78/6.71 (((~v171(constB35)) | (~v170(constB35))) <=> ((~v170(constB35)) | (~v171(constB35)))),
% 8.78/6.71 inference(rewrite,[status(thm)],[])).
% 8.78/6.71 tff(28853,plain,
% 8.78/6.71 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB35)) | (~v170(constB35)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB35)) | (~v171(constB35))))),
% 8.78/6.71 inference(monotonicity,[status(thm)],[28852])).
% 8.78/6.71 tff(28854,plain,
% 8.78/6.71 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB35)) | (~v170(constB35)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB35)) | (~v171(constB35)))),
% 8.78/6.71 inference(transitivity,[status(thm)],[28853, 28851])).
% 8.78/6.71 tff(28855,plain,
% 8.78/6.71 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB35)) | (~v170(constB35)))),
% 8.78/6.71 inference(quant_inst,[status(thm)],[])).
% 8.78/6.71 tff(28856,plain,
% 8.78/6.71 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB35)) | (~v171(constB35))),
% 8.78/6.71 inference(modus_ponens,[status(thm)],[28855, 28854])).
% 8.78/6.71 tff(28857,plain,
% 8.78/6.71 (~v170(constB35)),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[28856, 9899, 28850])).
% 8.78/6.71 tff(28858,plain,
% 8.78/6.71 ((~(v163(constB35) <=> v170(constB35))) | (~v163(constB35)) | v170(constB35)),
% 8.78/6.71 inference(tautology,[status(thm)],[])).
% 8.78/6.71 tff(28859,plain,
% 8.78/6.71 (~v163(constB35)),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[28858, 28857, 28843])).
% 8.78/6.71 tff(28860,plain,
% 8.78/6.71 ((~(v161(constB35) <=> v163(constB35))) | (~v161(constB35)) | v163(constB35)),
% 8.78/6.71 inference(tautology,[status(thm)],[])).
% 8.78/6.71 tff(28861,plain,
% 8.78/6.71 (~v161(constB35)),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[28860, 28859, 28794])).
% 8.78/6.71 tff(28862,plain,
% 8.78/6.71 (((~v159(constB35)) | (~v161(constB35))) | v161(constB35)),
% 8.78/6.71 inference(tautology,[status(thm)],[])).
% 8.78/6.71 tff(28863,plain,
% 8.78/6.71 ((~v159(constB35)) | (~v161(constB35))),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[28862, 28861])).
% 8.78/6.71 tff(28864,plain,
% 8.78/6.71 ((~(v201(constB35) <=> (~((~v159(constB35)) | (~v161(constB35)))))) | (~v201(constB35)) | (~((~v159(constB35)) | (~v161(constB35))))),
% 8.78/6.71 inference(tautology,[status(thm)],[])).
% 8.78/6.71 tff(28865,plain,
% 8.78/6.71 (~v201(constB35)),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[28864, 28863, 28792])).
% 8.78/6.71 tff(28866,plain,
% 8.78/6.71 (((~v197(constB35)) | (~v201(constB35))) | v201(constB35)),
% 8.78/6.71 inference(tautology,[status(thm)],[])).
% 8.78/6.71 tff(28867,plain,
% 8.78/6.71 ((~v197(constB35)) | (~v201(constB35))),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[28866, 28865])).
% 8.78/6.71 tff(28868,plain,
% 8.78/6.71 ((~(v200(constB35) <=> (~((~v197(constB35)) | (~v201(constB35)))))) | (~v200(constB35)) | (~((~v197(constB35)) | (~v201(constB35))))),
% 8.78/6.71 inference(tautology,[status(thm)],[])).
% 8.78/6.71 tff(28869,plain,
% 8.78/6.71 (~v200(constB35)),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[28868, 28867, 28790])).
% 8.78/6.71 tff(28870,plain,
% 8.78/6.71 (((~v199(constB35)) | (~v200(constB35))) | v200(constB35)),
% 8.78/6.71 inference(tautology,[status(thm)],[])).
% 8.78/6.71 tff(28871,plain,
% 8.78/6.71 ((~v199(constB35)) | (~v200(constB35))),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[28870, 28869])).
% 8.78/6.71 tff(28872,plain,
% 8.78/6.71 ((~(v198(constB35) <=> (~((~v199(constB35)) | (~v200(constB35)))))) | (~v198(constB35)) | (~((~v199(constB35)) | (~v200(constB35))))),
% 8.78/6.71 inference(tautology,[status(thm)],[])).
% 8.78/6.71 tff(28873,plain,
% 8.78/6.71 (~v198(constB35)),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[28872, 28871, 28788])).
% 8.78/6.71 tff(28874,plain,
% 8.78/6.71 ((~(v194(constB35) | v198(constB35))) | v194(constB35) | v198(constB35)),
% 8.78/6.71 inference(tautology,[status(thm)],[])).
% 8.78/6.71 tff(28875,plain,
% 8.78/6.71 (~(v194(constB35) | v198(constB35))),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[28874, 28873, 28786])).
% 8.78/6.71 tff(28876,plain,
% 8.78/6.71 ((~(v191(constB35) <=> (v194(constB35) | v198(constB35)))) | (~v191(constB35)) | (v194(constB35) | v198(constB35))),
% 8.78/6.71 inference(tautology,[status(thm)],[])).
% 8.78/6.71 tff(28877,plain,
% 8.78/6.71 (~v191(constB35)),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[28876, 28875, 28713])).
% 8.78/6.71 tff(28878,plain,
% 8.78/6.71 ((~(v193(constB36) <=> v191(constB35))) | (~v193(constB36)) | v191(constB35)),
% 8.78/6.71 inference(tautology,[status(thm)],[])).
% 8.78/6.71 tff(28879,plain,
% 8.78/6.71 (~v193(constB36)),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[28878, 28877, 28711])).
% 8.78/6.71 tff(28880,plain,
% 8.78/6.71 ((~(v157(constB36) <=> v193(constB36))) | (~v157(constB36)) | v193(constB36)),
% 8.78/6.71 inference(tautology,[status(thm)],[])).
% 8.78/6.71 tff(28881,plain,
% 8.78/6.71 (~v157(constB36)),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[28880, 28879, 28707])).
% 8.78/6.71 tff(28882,plain,
% 8.78/6.71 (((~v157(constB36)) | (~v195(constB36))) | v157(constB36)),
% 8.78/6.71 inference(tautology,[status(thm)],[])).
% 8.78/6.71 tff(28883,plain,
% 8.78/6.71 ((~v157(constB36)) | (~v195(constB36))),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[28882, 28881])).
% 8.78/6.71 tff(28884,plain,
% 8.78/6.71 ((~(v194(constB36) <=> (~((~v157(constB36)) | (~v195(constB36)))))) | (~v194(constB36)) | (~((~v157(constB36)) | (~v195(constB36))))),
% 8.78/6.71 inference(tautology,[status(thm)],[])).
% 8.78/6.71 tff(28885,plain,
% 8.78/6.71 (~v194(constB36)),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[28884, 28883, 28705])).
% 8.78/6.71 tff(28886,plain,
% 8.78/6.71 ((~(v194(constB36) | v198(constB36))) | v194(constB36) | v198(constB36)),
% 8.78/6.71 inference(tautology,[status(thm)],[])).
% 8.78/6.71 tff(28887,plain,
% 8.78/6.71 (~(v194(constB36) | v198(constB36))),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[28886, 28885, 28698])).
% 8.78/6.71 tff(28888,plain,
% 8.78/6.71 ((~(v191(constB36) <=> (v194(constB36) | v198(constB36)))) | (~v191(constB36)) | (v194(constB36) | v198(constB36))),
% 8.78/6.71 inference(tautology,[status(thm)],[])).
% 8.78/6.71 tff(28889,plain,
% 8.78/6.71 (~v191(constB36)),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[28888, 28887, 28673])).
% 8.78/6.71 tff(28890,plain,
% 8.78/6.71 ((~(v193(constB37) <=> v191(constB36))) | (~v193(constB37)) | v191(constB36)),
% 8.78/6.71 inference(tautology,[status(thm)],[])).
% 8.78/6.71 tff(28891,plain,
% 8.78/6.71 (~v193(constB37)),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[28890, 28889, 28671])).
% 8.78/6.71 tff(28892,plain,
% 8.78/6.71 ($false),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[28891, 28667])).
% 8.78/6.71 tff(28893,plain,(~(constB37 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.78/6.71 tff(28894,assumption,(constB143 = VarCurr!0), introduced(assumption)).
% 8.78/6.71 tff(28895,plain,
% 8.78/6.71 (v193(constB143) <=> v193(VarCurr!0)),
% 8.78/6.71 inference(monotonicity,[status(thm)],[28894])).
% 8.78/6.71 tff(28896,plain,
% 8.78/6.71 (v193(VarCurr!0) <=> v193(constB143)),
% 8.78/6.71 inference(symmetry,[status(thm)],[28895])).
% 8.78/6.71 tff(28897,plain,
% 8.78/6.71 (v193(constB143)),
% 8.78/6.71 inference(modus_ponens,[status(thm)],[59, 28896])).
% 8.78/6.71 tff(28898,plain,
% 8.78/6.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB142, constB143)) | (v193(constB143) <=> v191(constB142)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB142, constB143)) | (v193(constB143) <=> v191(constB142)))),
% 8.78/6.71 inference(rewrite,[status(thm)],[])).
% 8.78/6.71 tff(28899,plain,
% 8.78/6.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB142, constB143)) | (v193(constB143) <=> v191(constB142)))),
% 8.78/6.71 inference(quant_inst,[status(thm)],[])).
% 8.78/6.71 tff(28900,plain,
% 8.78/6.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB142, constB143)) | (v193(constB143) <=> v191(constB142))),
% 8.78/6.71 inference(modus_ponens,[status(thm)],[28899, 28898])).
% 8.78/6.71 tff(28901,plain,
% 8.78/6.71 (v193(constB143) <=> v191(constB142)),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[28900, 16667, 70])).
% 8.78/6.71 tff(28902,plain,
% 8.78/6.71 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB142) <=> (v194(constB142) | v198(constB142)))),
% 8.78/6.71 inference(quant_inst,[status(thm)],[])).
% 8.78/6.71 tff(28903,plain,
% 8.78/6.71 (v191(constB142) <=> (v194(constB142) | v198(constB142))),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[28902, 84])).
% 8.78/6.71 tff(28904,plain,
% 8.78/6.71 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB142) <=> (~((~v199(constB142)) | (~v200(constB142)))))),
% 8.78/6.71 inference(quant_inst,[status(thm)],[])).
% 8.78/6.71 tff(28905,plain,
% 8.78/6.71 (v198(constB142) <=> (~((~v199(constB142)) | (~v200(constB142))))),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[28904, 96])).
% 8.78/6.71 tff(28906,plain,
% 8.78/6.71 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB142) <=> (~((~v197(constB142)) | (~v201(constB142)))))),
% 8.78/6.71 inference(quant_inst,[status(thm)],[])).
% 8.78/6.71 tff(28907,plain,
% 8.78/6.71 (v200(constB142) <=> (~((~v197(constB142)) | (~v201(constB142))))),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[28906, 108])).
% 8.78/6.71 tff(28908,plain,
% 8.78/6.71 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB142) <=> (~((~v39(constB142)) | (~v9(constB142)))))),
% 8.78/6.71 inference(quant_inst,[status(thm)],[])).
% 8.78/6.71 tff(28909,plain,
% 8.78/6.71 (v197(constB142) <=> (~((~v39(constB142)) | (~v9(constB142))))),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[28908, 120])).
% 8.78/6.71 tff(28910,plain,
% 8.78/6.71 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB142)) <=> v1(constB142))),
% 8.78/6.71 inference(quant_inst,[status(thm)],[])).
% 8.78/6.71 tff(28911,plain,
% 8.78/6.71 ((~v39(constB142)) <=> v1(constB142)),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[28910, 129])).
% 8.78/6.71 tff(28912,plain,
% 8.78/6.71 ((~((~v39(constB142)) <=> v1(constB142))) | (~v39(constB142)) | (~v1(constB142))),
% 8.78/6.71 inference(tautology,[status(thm)],[])).
% 8.78/6.71 tff(28913,plain,
% 8.78/6.71 ((~((~v39(constB142)) <=> v1(constB142))) | (~v39(constB142))),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[28912, 19699])).
% 8.78/6.71 tff(28914,plain,
% 8.78/6.71 (~v39(constB142)),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[28913, 28911])).
% 8.78/6.71 tff(28915,plain,
% 8.78/6.71 (((~v39(constB142)) | (~v9(constB142))) | v39(constB142)),
% 8.78/6.71 inference(tautology,[status(thm)],[])).
% 8.78/6.71 tff(28916,plain,
% 8.78/6.71 ((~v39(constB142)) | (~v9(constB142))),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[28915, 28914])).
% 8.78/6.71 tff(28917,plain,
% 8.78/6.71 ((~(v197(constB142) <=> (~((~v39(constB142)) | (~v9(constB142)))))) | (~v197(constB142)) | (~((~v39(constB142)) | (~v9(constB142))))),
% 8.78/6.71 inference(tautology,[status(thm)],[])).
% 8.78/6.71 tff(28918,plain,
% 8.78/6.71 ((~(v197(constB142) <=> (~((~v39(constB142)) | (~v9(constB142)))))) | (~v197(constB142))),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[28917, 28916])).
% 8.78/6.71 tff(28919,plain,
% 8.78/6.71 (~v197(constB142)),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[28918, 28909])).
% 8.78/6.71 tff(28920,plain,
% 8.78/6.71 (((~v197(constB142)) | (~v201(constB142))) | v197(constB142)),
% 8.78/6.71 inference(tautology,[status(thm)],[])).
% 8.78/6.71 tff(28921,plain,
% 8.78/6.71 ((~v197(constB142)) | (~v201(constB142))),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[28920, 28919])).
% 8.78/6.71 tff(28922,plain,
% 8.78/6.71 ((~(v200(constB142) <=> (~((~v197(constB142)) | (~v201(constB142)))))) | (~v200(constB142)) | (~((~v197(constB142)) | (~v201(constB142))))),
% 8.78/6.71 inference(tautology,[status(thm)],[])).
% 8.78/6.71 tff(28923,plain,
% 8.78/6.71 ((~(v200(constB142) <=> (~((~v197(constB142)) | (~v201(constB142)))))) | (~v200(constB142))),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[28922, 28921])).
% 8.78/6.71 tff(28924,plain,
% 8.78/6.71 (~v200(constB142)),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[28923, 28907])).
% 8.78/6.71 tff(28925,plain,
% 8.78/6.71 (((~v199(constB142)) | (~v200(constB142))) | v200(constB142)),
% 8.78/6.71 inference(tautology,[status(thm)],[])).
% 8.78/6.71 tff(28926,plain,
% 8.78/6.71 ((~v199(constB142)) | (~v200(constB142))),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[28925, 28924])).
% 8.78/6.71 tff(28927,plain,
% 8.78/6.71 ((~(v198(constB142) <=> (~((~v199(constB142)) | (~v200(constB142)))))) | (~v198(constB142)) | (~((~v199(constB142)) | (~v200(constB142))))),
% 8.78/6.71 inference(tautology,[status(thm)],[])).
% 8.78/6.71 tff(28928,plain,
% 8.78/6.71 (~v198(constB142)),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[28927, 28926, 28905])).
% 8.78/6.71 tff(28929,plain,
% 8.78/6.71 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB142) <=> (~((~v157(constB142)) | (~v195(constB142)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB142) <=> (~((~v157(constB142)) | (~v195(constB142))))))),
% 8.78/6.71 inference(rewrite,[status(thm)],[])).
% 8.78/6.71 tff(28930,plain,
% 8.78/6.71 ((v194(constB142) <=> (~((~v195(constB142)) | (~v157(constB142))))) <=> (v194(constB142) <=> (~((~v157(constB142)) | (~v195(constB142)))))),
% 8.78/6.71 inference(rewrite,[status(thm)],[])).
% 8.78/6.71 tff(28931,plain,
% 8.78/6.71 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB142) <=> (~((~v195(constB142)) | (~v157(constB142)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB142) <=> (~((~v157(constB142)) | (~v195(constB142))))))),
% 8.78/6.71 inference(monotonicity,[status(thm)],[28930])).
% 8.78/6.71 tff(28932,plain,
% 8.78/6.71 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB142) <=> (~((~v195(constB142)) | (~v157(constB142)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB142) <=> (~((~v157(constB142)) | (~v195(constB142))))))),
% 8.78/6.71 inference(transitivity,[status(thm)],[28931, 28929])).
% 8.78/6.71 tff(28933,plain,
% 8.78/6.71 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB142) <=> (~((~v195(constB142)) | (~v157(constB142)))))),
% 8.78/6.71 inference(quant_inst,[status(thm)],[])).
% 8.78/6.71 tff(28934,plain,
% 8.78/6.71 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB142) <=> (~((~v157(constB142)) | (~v195(constB142)))))),
% 8.78/6.71 inference(modus_ponens,[status(thm)],[28933, 28932])).
% 8.78/6.71 tff(28935,plain,
% 8.78/6.71 (v194(constB142) <=> (~((~v157(constB142)) | (~v195(constB142))))),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[28934, 161])).
% 8.78/6.71 tff(28936,plain,
% 8.78/6.71 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB142) <=> v193(constB142))),
% 8.78/6.71 inference(quant_inst,[status(thm)],[])).
% 8.78/6.71 tff(28937,plain,
% 8.78/6.71 (v157(constB142) <=> v193(constB142)),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[28936, 13])).
% 8.78/6.71 tff(28938,plain,
% 8.78/6.71 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB141, constB142)) | (v193(constB142) <=> v191(constB141)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB141, constB142)) | (v193(constB142) <=> v191(constB141)))),
% 8.78/6.71 inference(rewrite,[status(thm)],[])).
% 8.78/6.71 tff(28939,plain,
% 8.78/6.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB141, constB142)) | (v193(constB142) <=> v191(constB141)))),
% 8.78/6.71 inference(quant_inst,[status(thm)],[])).
% 8.78/6.71 tff(28940,plain,
% 8.78/6.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB141, constB142)) | (v193(constB142) <=> v191(constB141))),
% 8.78/6.71 inference(modus_ponens,[status(thm)],[28939, 28938])).
% 8.78/6.71 tff(28941,plain,
% 8.78/6.71 (v193(constB142) <=> v191(constB141)),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[28940, 16703, 70])).
% 8.78/6.71 tff(28942,plain,
% 8.78/6.71 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB141) <=> (v194(constB141) | v198(constB141)))),
% 8.78/6.71 inference(quant_inst,[status(thm)],[])).
% 8.78/6.71 tff(28943,plain,
% 8.78/6.71 (v191(constB141) <=> (v194(constB141) | v198(constB141))),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[28942, 84])).
% 8.78/6.71 tff(28944,plain,
% 8.78/6.71 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB141) <=> (~((~v157(constB141)) | (~v195(constB141)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB141) <=> (~((~v157(constB141)) | (~v195(constB141))))))),
% 8.78/6.71 inference(rewrite,[status(thm)],[])).
% 8.78/6.71 tff(28945,plain,
% 8.78/6.71 ((v194(constB141) <=> (~((~v195(constB141)) | (~v157(constB141))))) <=> (v194(constB141) <=> (~((~v157(constB141)) | (~v195(constB141)))))),
% 8.78/6.71 inference(rewrite,[status(thm)],[])).
% 8.78/6.71 tff(28946,plain,
% 8.78/6.71 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB141) <=> (~((~v195(constB141)) | (~v157(constB141)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB141) <=> (~((~v157(constB141)) | (~v195(constB141))))))),
% 8.78/6.71 inference(monotonicity,[status(thm)],[28945])).
% 8.78/6.71 tff(28947,plain,
% 8.78/6.71 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB141) <=> (~((~v195(constB141)) | (~v157(constB141)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB141) <=> (~((~v157(constB141)) | (~v195(constB141))))))),
% 8.78/6.71 inference(transitivity,[status(thm)],[28946, 28944])).
% 8.78/6.71 tff(28948,plain,
% 8.78/6.71 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB141) <=> (~((~v195(constB141)) | (~v157(constB141)))))),
% 8.78/6.71 inference(quant_inst,[status(thm)],[])).
% 8.78/6.71 tff(28949,plain,
% 8.78/6.71 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB141) <=> (~((~v157(constB141)) | (~v195(constB141)))))),
% 8.78/6.71 inference(modus_ponens,[status(thm)],[28948, 28947])).
% 8.78/6.71 tff(28950,plain,
% 8.78/6.71 (v194(constB141) <=> (~((~v157(constB141)) | (~v195(constB141))))),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[28949, 161])).
% 8.78/6.71 tff(28951,plain,
% 8.78/6.71 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB141)) <=> v196(constB141))),
% 8.78/6.71 inference(quant_inst,[status(thm)],[])).
% 8.78/6.71 tff(28952,plain,
% 8.78/6.71 ((~v195(constB141)) <=> v196(constB141)),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[28951, 193])).
% 8.78/6.71 tff(28953,plain,
% 8.78/6.71 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB141) <=> (v197(constB141) | v26(constB141)))),
% 8.78/6.71 inference(quant_inst,[status(thm)],[])).
% 8.78/6.71 tff(28954,plain,
% 8.78/6.71 (v196(constB141) <=> (v197(constB141) | v26(constB141))),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[28953, 202])).
% 8.78/6.71 tff(28955,plain,
% 8.78/6.71 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB141) <=> (~((~v39(constB141)) | (~v9(constB141)))))),
% 8.78/6.71 inference(quant_inst,[status(thm)],[])).
% 8.78/6.71 tff(28956,plain,
% 8.78/6.71 (v197(constB141) <=> (~((~v39(constB141)) | (~v9(constB141))))),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[28955, 120])).
% 8.78/6.71 tff(28957,plain,
% 8.78/6.71 (((~![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)))),
% 8.78/6.71 inference(rewrite,[status(thm)],[])).
% 8.78/6.71 tff(28958,plain,
% 8.78/6.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB141, constB142)) | (v13(constB142) <=> v9(constB141)))),
% 8.78/6.71 inference(quant_inst,[status(thm)],[])).
% 8.78/6.71 tff(28959,plain,
% 8.78/6.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB141, constB142)) | (v13(constB142) <=> v9(constB141))),
% 8.78/6.71 inference(modus_ponens,[status(thm)],[28958, 28957])).
% 8.78/6.71 tff(28960,plain,
% 8.78/6.71 (v13(constB142) <=> v9(constB141)),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[28959, 16703, 216])).
% 8.78/6.71 tff(28961,plain,
% 8.78/6.71 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB142) <=> v13(constB142))),
% 8.78/6.71 inference(quant_inst,[status(thm)],[])).
% 8.78/6.71 tff(28962,plain,
% 8.78/6.71 (v6(constB142) <=> v13(constB142)),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[28961, 230])).
% 8.78/6.71 tff(28963,plain,
% 8.78/6.71 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB142)) <=> v6(constB142))),
% 8.78/6.71 inference(quant_inst,[status(thm)],[])).
% 8.78/6.71 tff(28964,plain,
% 8.78/6.71 ((~v21(constB142)) <=> v6(constB142)),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[28963, 239])).
% 8.78/6.71 tff(28965,plain,
% 8.78/6.71 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB142) <=> (v20(constB142) | v21(constB142)))),
% 8.78/6.71 inference(quant_inst,[status(thm)],[])).
% 8.78/6.71 tff(28966,plain,
% 8.78/6.71 (v19(constB142) <=> (v20(constB142) | v21(constB142))),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[28965, 248])).
% 8.78/6.71 tff(28967,plain,
% 8.78/6.71 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB142) <=> (~((~v19(constB142)) | (~v22(constB142)))))),
% 8.78/6.71 inference(quant_inst,[status(thm)],[])).
% 8.78/6.71 tff(28968,plain,
% 8.78/6.71 (v18(constB142) <=> (~((~v19(constB142)) | (~v22(constB142))))),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[28967, 260])).
% 8.78/6.71 tff(28969,plain,
% 8.78/6.71 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB142)) <=> v18(constB142))),
% 8.78/6.71 inference(quant_inst,[status(thm)],[])).
% 8.78/6.71 tff(28970,plain,
% 8.78/6.71 ((~v4(constB142)) <=> v18(constB142)),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[28969, 269])).
% 8.78/6.71 tff(28971,plain,
% 8.78/6.71 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB142)),
% 8.78/6.71 inference(quant_inst,[status(thm)],[])).
% 8.78/6.71 tff(28972,plain,
% 8.78/6.71 (v4(constB142)),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[28971, 278])).
% 8.78/6.71 tff(28973,plain,
% 8.78/6.71 ((~((~v4(constB142)) <=> v18(constB142))) | (~v4(constB142)) | (~v18(constB142))),
% 8.78/6.71 inference(tautology,[status(thm)],[])).
% 8.78/6.71 tff(28974,plain,
% 8.78/6.71 (~v18(constB142)),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[28973, 28972, 28970])).
% 8.78/6.71 tff(28975,plain,
% 8.78/6.71 ((~(v18(constB142) <=> (~((~v19(constB142)) | (~v22(constB142)))))) | v18(constB142) | ((~v19(constB142)) | (~v22(constB142)))),
% 8.78/6.71 inference(tautology,[status(thm)],[])).
% 8.78/6.71 tff(28976,plain,
% 8.78/6.71 ((~v19(constB142)) | (~v22(constB142))),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[28975, 28974, 28968])).
% 8.78/6.71 tff(28977,plain,
% 8.78/6.71 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB142) <=> (v1(constB142) | v6(constB142)))),
% 8.78/6.71 inference(quant_inst,[status(thm)],[])).
% 8.78/6.71 tff(28978,plain,
% 8.78/6.71 (v22(constB142) <=> (v1(constB142) | v6(constB142))),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[28977, 291])).
% 8.78/6.71 tff(28979,plain,
% 8.78/6.71 ((v1(constB142) | v6(constB142)) | (~v1(constB142))),
% 8.78/6.71 inference(tautology,[status(thm)],[])).
% 8.78/6.71 tff(28980,plain,
% 8.78/6.71 (v1(constB142) | v6(constB142)),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[28979, 19699])).
% 8.78/6.71 tff(28981,plain,
% 8.78/6.71 ((~(v22(constB142) <=> (v1(constB142) | v6(constB142)))) | v22(constB142) | (~(v1(constB142) | v6(constB142)))),
% 8.78/6.71 inference(tautology,[status(thm)],[])).
% 8.78/6.71 tff(28982,plain,
% 8.78/6.71 ((~(v22(constB142) <=> (v1(constB142) | v6(constB142)))) | v22(constB142)),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[28981, 28980])).
% 8.78/6.71 tff(28983,plain,
% 8.78/6.71 (v22(constB142)),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[28982, 28978])).
% 8.78/6.71 tff(28984,plain,
% 8.78/6.71 ((~((~v19(constB142)) | (~v22(constB142)))) | (~v19(constB142)) | (~v22(constB142))),
% 8.78/6.71 inference(tautology,[status(thm)],[])).
% 8.78/6.71 tff(28985,plain,
% 8.78/6.71 ((~((~v19(constB142)) | (~v22(constB142)))) | (~v19(constB142))),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[28984, 28983])).
% 8.78/6.71 tff(28986,plain,
% 8.78/6.71 (~v19(constB142)),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[28985, 28976])).
% 8.78/6.71 tff(28987,plain,
% 8.78/6.71 ((~(v19(constB142) <=> (v20(constB142) | v21(constB142)))) | v19(constB142) | (~(v20(constB142) | v21(constB142)))),
% 8.78/6.71 inference(tautology,[status(thm)],[])).
% 8.78/6.71 tff(28988,plain,
% 8.78/6.71 (~(v20(constB142) | v21(constB142))),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[28987, 28986, 28966])).
% 8.78/6.71 tff(28989,plain,
% 8.78/6.71 ((v20(constB142) | v21(constB142)) | (~v21(constB142))),
% 8.78/6.71 inference(tautology,[status(thm)],[])).
% 8.78/6.71 tff(28990,plain,
% 8.78/6.71 (~v21(constB142)),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[28989, 28988])).
% 8.78/6.71 tff(28991,plain,
% 8.78/6.71 ((~((~v21(constB142)) <=> v6(constB142))) | v21(constB142) | v6(constB142)),
% 8.78/6.71 inference(tautology,[status(thm)],[])).
% 8.78/6.71 tff(28992,plain,
% 8.78/6.71 (v6(constB142)),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[28991, 28990, 28964])).
% 8.78/6.71 tff(28993,plain,
% 8.78/6.71 ((~(v6(constB142) <=> v13(constB142))) | (~v6(constB142)) | v13(constB142)),
% 8.78/6.71 inference(tautology,[status(thm)],[])).
% 8.78/6.71 tff(28994,plain,
% 8.78/6.71 (v13(constB142)),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[28993, 28992, 28962])).
% 8.78/6.71 tff(28995,plain,
% 8.78/6.71 ((~(v13(constB142) <=> v9(constB141))) | (~v13(constB142)) | v9(constB141)),
% 8.78/6.71 inference(tautology,[status(thm)],[])).
% 8.78/6.71 tff(28996,plain,
% 8.78/6.71 (v9(constB141)),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[28995, 28994, 28960])).
% 8.78/6.71 tff(28997,plain,
% 8.78/6.71 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB141)) <=> v1(constB141))),
% 8.78/6.71 inference(quant_inst,[status(thm)],[])).
% 8.78/6.71 tff(28998,plain,
% 8.78/6.71 ((~v39(constB141)) <=> v1(constB141)),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[28997, 129])).
% 8.78/6.71 tff(28999,plain,
% 8.78/6.71 ((~((~v39(constB141)) <=> v1(constB141))) | v39(constB141) | v1(constB141)),
% 8.78/6.71 inference(tautology,[status(thm)],[])).
% 8.78/6.71 tff(29000,plain,
% 8.78/6.71 ((~((~v39(constB141)) <=> v1(constB141))) | v39(constB141)),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[28999, 16747])).
% 8.78/6.71 tff(29001,plain,
% 8.78/6.71 (v39(constB141)),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[29000, 28998])).
% 8.78/6.71 tff(29002,plain,
% 8.78/6.71 ((~((~v39(constB141)) | (~v9(constB141)))) | (~v39(constB141)) | (~v9(constB141))),
% 8.78/6.71 inference(tautology,[status(thm)],[])).
% 8.78/6.71 tff(29003,plain,
% 8.78/6.71 ((~((~v39(constB141)) | (~v9(constB141)))) | (~v9(constB141))),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[29002, 29001])).
% 8.78/6.71 tff(29004,plain,
% 8.78/6.71 (~((~v39(constB141)) | (~v9(constB141)))),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[29003, 28996])).
% 8.78/6.71 tff(29005,plain,
% 8.78/6.71 ((~(v197(constB141) <=> (~((~v39(constB141)) | (~v9(constB141)))))) | v197(constB141) | ((~v39(constB141)) | (~v9(constB141)))),
% 8.78/6.71 inference(tautology,[status(thm)],[])).
% 8.78/6.71 tff(29006,plain,
% 8.78/6.71 (v197(constB141)),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[29005, 29004, 28956])).
% 8.78/6.71 tff(29007,plain,
% 8.78/6.71 ((v197(constB141) | v26(constB141)) | (~v197(constB141))),
% 8.78/6.71 inference(tautology,[status(thm)],[])).
% 8.78/6.71 tff(29008,plain,
% 8.78/6.71 (v197(constB141) | v26(constB141)),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[29007, 29006])).
% 8.78/6.71 tff(29009,plain,
% 8.78/6.71 ((~(v196(constB141) <=> (v197(constB141) | v26(constB141)))) | v196(constB141) | (~(v197(constB141) | v26(constB141)))),
% 8.78/6.71 inference(tautology,[status(thm)],[])).
% 8.78/6.71 tff(29010,plain,
% 8.78/6.71 (v196(constB141)),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[29009, 29008, 28954])).
% 8.78/6.71 tff(29011,plain,
% 8.78/6.71 ((~((~v195(constB141)) <=> v196(constB141))) | (~v195(constB141)) | (~v196(constB141))),
% 8.78/6.71 inference(tautology,[status(thm)],[])).
% 8.78/6.71 tff(29012,plain,
% 8.78/6.71 (~v195(constB141)),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[29011, 29010, 28952])).
% 8.78/6.71 tff(29013,plain,
% 8.78/6.71 (((~v157(constB141)) | (~v195(constB141))) | v195(constB141)),
% 8.78/6.71 inference(tautology,[status(thm)],[])).
% 8.78/6.71 tff(29014,plain,
% 8.78/6.71 ((~v157(constB141)) | (~v195(constB141))),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[29013, 29012])).
% 8.78/6.71 tff(29015,plain,
% 8.78/6.71 ((~(v194(constB141) <=> (~((~v157(constB141)) | (~v195(constB141)))))) | (~v194(constB141)) | (~((~v157(constB141)) | (~v195(constB141))))),
% 8.78/6.71 inference(tautology,[status(thm)],[])).
% 8.78/6.71 tff(29016,plain,
% 8.78/6.71 (~v194(constB141)),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[29015, 29014, 28950])).
% 8.78/6.71 tff(29017,plain,
% 8.78/6.71 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB141) <=> (~((~v199(constB141)) | (~v200(constB141)))))),
% 8.78/6.71 inference(quant_inst,[status(thm)],[])).
% 8.78/6.71 tff(29018,plain,
% 8.78/6.71 (v198(constB141) <=> (~((~v199(constB141)) | (~v200(constB141))))),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[29017, 96])).
% 8.78/6.71 tff(29019,plain,
% 8.78/6.71 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB141) <=> (~((~v197(constB141)) | (~v201(constB141)))))),
% 8.78/6.71 inference(quant_inst,[status(thm)],[])).
% 8.78/6.71 tff(29020,plain,
% 8.78/6.71 (v200(constB141) <=> (~((~v197(constB141)) | (~v201(constB141))))),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[29019, 108])).
% 8.78/6.71 tff(29021,plain,
% 8.78/6.71 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB141) <=> (~((~v159(constB141)) | (~v161(constB141)))))),
% 8.78/6.71 inference(quant_inst,[status(thm)],[])).
% 8.78/6.71 tff(29022,plain,
% 8.78/6.71 (v201(constB141) <=> (~((~v159(constB141)) | (~v161(constB141))))),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[29021, 348])).
% 8.78/6.71 tff(29023,plain,
% 8.78/6.71 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB141) <=> v163(constB141))),
% 8.78/6.71 inference(quant_inst,[status(thm)],[])).
% 8.78/6.71 tff(29024,plain,
% 8.78/6.71 (v161(constB141) <=> v163(constB141)),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[29023, 357])).
% 8.78/6.71 tff(29025,plain,
% 8.78/6.71 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB141) <=> (v145(constB141) | v167(constB141)))),
% 8.78/6.71 inference(quant_inst,[status(thm)],[])).
% 8.78/6.71 tff(29026,plain,
% 8.78/6.71 (v166(constB141) <=> (v145(constB141) | v167(constB141))),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[29025, 369])).
% 8.78/6.71 tff(29027,plain,
% 8.78/6.71 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB141) <=> (v142(constB141) | v168(constB141)))),
% 8.78/6.71 inference(quant_inst,[status(thm)],[])).
% 8.78/6.71 tff(29028,plain,
% 8.78/6.71 (v167(constB141) <=> (v142(constB141) | v168(constB141))),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[29027, 381])).
% 8.78/6.71 tff(29029,plain,
% 8.78/6.71 ((~![VarCurr: $i] : (v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr)))) | (v168(constB141) <=> (v141(constB141) | v169(constB141)))),
% 8.78/6.71 inference(quant_inst,[status(thm)],[])).
% 8.78/6.71 tff(29030,plain,
% 8.78/6.71 (v168(constB141) <=> (v141(constB141) | v169(constB141))),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[29029, 393])).
% 8.78/6.71 tff(29031,plain,
% 8.78/6.71 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB141) <=> (~((~v88(constB141, bitIndex1)) | v88(constB141, bitIndex2) | (~v88(constB141, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB141) <=> (~((~v88(constB141, bitIndex1)) | v88(constB141, bitIndex2) | (~v88(constB141, bitIndex0))))))),
% 8.78/6.71 inference(rewrite,[status(thm)],[])).
% 8.78/6.71 tff(29032,plain,
% 8.78/6.71 ((v141(constB141) <=> (~(v88(constB141, bitIndex2) | (~v88(constB141, bitIndex1)) | (~v88(constB141, bitIndex0))))) <=> (v141(constB141) <=> (~((~v88(constB141, bitIndex1)) | v88(constB141, bitIndex2) | (~v88(constB141, bitIndex0)))))),
% 8.78/6.71 inference(rewrite,[status(thm)],[])).
% 8.78/6.71 tff(29033,plain,
% 8.78/6.71 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB141) <=> (~(v88(constB141, bitIndex2) | (~v88(constB141, bitIndex1)) | (~v88(constB141, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB141) <=> (~((~v88(constB141, bitIndex1)) | v88(constB141, bitIndex2) | (~v88(constB141, bitIndex0))))))),
% 8.78/6.71 inference(monotonicity,[status(thm)],[29032])).
% 8.78/6.71 tff(29034,plain,
% 8.78/6.71 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB141) <=> (~(v88(constB141, bitIndex2) | (~v88(constB141, bitIndex1)) | (~v88(constB141, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB141) <=> (~((~v88(constB141, bitIndex1)) | v88(constB141, bitIndex2) | (~v88(constB141, bitIndex0))))))),
% 8.78/6.71 inference(transitivity,[status(thm)],[29033, 29031])).
% 8.78/6.71 tff(29035,plain,
% 8.78/6.71 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB141) <=> (~(v88(constB141, bitIndex2) | (~v88(constB141, bitIndex1)) | (~v88(constB141, bitIndex0)))))),
% 8.78/6.71 inference(quant_inst,[status(thm)],[])).
% 8.78/6.71 tff(29036,plain,
% 8.78/6.71 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB141) <=> (~((~v88(constB141, bitIndex1)) | v88(constB141, bitIndex2) | (~v88(constB141, bitIndex0)))))),
% 8.78/6.71 inference(modus_ponens,[status(thm)],[29035, 29034])).
% 8.78/6.71 tff(29037,plain,
% 8.78/6.71 (v141(constB141) <=> (~((~v88(constB141, bitIndex1)) | v88(constB141, bitIndex2) | (~v88(constB141, bitIndex0))))),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[29036, 408])).
% 8.78/6.71 tff(29038,plain,
% 8.78/6.71 ((~![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))) | (~(((~v88(constB141, bitIndex1)) <=> v90(constB141, bitIndex1)) | ((~v88(constB141, bitIndex2)) <=> v90(constB141, bitIndex2)) | ((~v88(constB141, bitIndex0)) <=> v90(constB141, bitIndex0))))),
% 8.78/6.71 inference(quant_inst,[status(thm)],[])).
% 8.78/6.71 tff(29039,plain,
% 8.78/6.71 (~(((~v88(constB141, bitIndex1)) <=> v90(constB141, bitIndex1)) | ((~v88(constB141, bitIndex2)) <=> v90(constB141, bitIndex2)) | ((~v88(constB141, bitIndex0)) <=> v90(constB141, bitIndex0)))),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[29038, 428])).
% 8.78/6.71 tff(29040,plain,
% 8.78/6.71 ((((~v88(constB141, bitIndex1)) <=> v90(constB141, bitIndex1)) | ((~v88(constB141, bitIndex2)) <=> v90(constB141, bitIndex2)) | ((~v88(constB141, bitIndex0)) <=> v90(constB141, bitIndex0))) | (~((~v88(constB141, bitIndex2)) <=> v90(constB141, bitIndex2)))),
% 8.78/6.71 inference(tautology,[status(thm)],[])).
% 8.78/6.71 tff(29041,plain,
% 8.78/6.71 (~((~v88(constB141, bitIndex2)) <=> v90(constB141, bitIndex2))),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[29040, 29039])).
% 8.78/6.71 tff(29042,plain,
% 8.78/6.71 (((~v88(constB141, bitIndex2)) <=> v90(constB141, bitIndex2)) | (~v88(constB141, bitIndex2)) | v90(constB141, bitIndex2)),
% 8.78/6.71 inference(tautology,[status(thm)],[])).
% 8.78/6.71 tff(29043,plain,
% 8.78/6.71 (~v88(constB141, bitIndex2)),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[29042, 19618, 29041])).
% 8.78/6.71 tff(29044,plain,
% 8.78/6.71 ((((~v88(constB141, bitIndex1)) <=> v90(constB141, bitIndex1)) | ((~v88(constB141, bitIndex2)) <=> v90(constB141, bitIndex2)) | ((~v88(constB141, bitIndex0)) <=> v90(constB141, bitIndex0))) | (~((~v88(constB141, bitIndex0)) <=> v90(constB141, bitIndex0)))),
% 8.78/6.71 inference(tautology,[status(thm)],[])).
% 8.78/6.71 tff(29045,plain,
% 8.78/6.71 (~((~v88(constB141, bitIndex0)) <=> v90(constB141, bitIndex0))),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[29044, 29039])).
% 8.78/6.71 tff(29046,plain,
% 8.78/6.71 (((~v88(constB141, bitIndex0)) <=> v90(constB141, bitIndex0)) | v88(constB141, bitIndex0) | (~v90(constB141, bitIndex0))),
% 8.78/6.71 inference(tautology,[status(thm)],[])).
% 8.78/6.71 tff(29047,plain,
% 8.78/6.71 (v88(constB141, bitIndex0)),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[29046, 19636, 29045])).
% 8.78/6.71 tff(29048,plain,
% 8.78/6.71 ((((~v88(constB141, bitIndex1)) <=> v90(constB141, bitIndex1)) | ((~v88(constB141, bitIndex2)) <=> v90(constB141, bitIndex2)) | ((~v88(constB141, bitIndex0)) <=> v90(constB141, bitIndex0))) | (~((~v88(constB141, bitIndex1)) <=> v90(constB141, bitIndex1)))),
% 8.78/6.71 inference(tautology,[status(thm)],[])).
% 8.78/6.71 tff(29049,plain,
% 8.78/6.71 (~((~v88(constB141, bitIndex1)) <=> v90(constB141, bitIndex1))),
% 8.78/6.71 inference(unit_resolution,[status(thm)],[29048, 29039])).
% 8.78/6.71 tff(29050,plain,
% 8.78/6.72 (((~v88(constB141, bitIndex1)) <=> v90(constB141, bitIndex1)) | v88(constB141, bitIndex1) | (~v90(constB141, bitIndex1))),
% 8.78/6.72 inference(tautology,[status(thm)],[])).
% 8.78/6.72 tff(29051,plain,
% 8.78/6.72 (v88(constB141, bitIndex1)),
% 8.78/6.72 inference(unit_resolution,[status(thm)],[29050, 19654, 29049])).
% 8.78/6.72 tff(29052,plain,
% 8.78/6.72 ((~((~v88(constB141, bitIndex1)) | v88(constB141, bitIndex2) | (~v88(constB141, bitIndex0)))) | (~v88(constB141, bitIndex1)) | v88(constB141, bitIndex2) | (~v88(constB141, bitIndex0))),
% 8.78/6.72 inference(tautology,[status(thm)],[])).
% 8.78/6.72 tff(29053,plain,
% 8.78/6.72 (~((~v88(constB141, bitIndex1)) | v88(constB141, bitIndex2) | (~v88(constB141, bitIndex0)))),
% 8.78/6.72 inference(unit_resolution,[status(thm)],[29052, 29051, 29047, 29043])).
% 8.78/6.72 tff(29054,plain,
% 8.78/6.72 ((~(v141(constB141) <=> (~((~v88(constB141, bitIndex1)) | v88(constB141, bitIndex2) | (~v88(constB141, bitIndex0)))))) | v141(constB141) | ((~v88(constB141, bitIndex1)) | v88(constB141, bitIndex2) | (~v88(constB141, bitIndex0)))),
% 8.78/6.72 inference(tautology,[status(thm)],[])).
% 8.78/6.72 tff(29055,plain,
% 8.78/6.72 (v141(constB141)),
% 8.78/6.72 inference(unit_resolution,[status(thm)],[29054, 29053, 29037])).
% 8.78/6.72 tff(29056,plain,
% 8.78/6.72 ((v141(constB141) | v169(constB141)) | (~v141(constB141))),
% 8.78/6.72 inference(tautology,[status(thm)],[])).
% 8.78/6.72 tff(29057,plain,
% 8.78/6.72 (v141(constB141) | v169(constB141)),
% 8.78/6.72 inference(unit_resolution,[status(thm)],[29056, 29055])).
% 8.78/6.72 tff(29058,plain,
% 8.78/6.72 ((~(v168(constB141) <=> (v141(constB141) | v169(constB141)))) | v168(constB141) | (~(v141(constB141) | v169(constB141)))),
% 8.78/6.72 inference(tautology,[status(thm)],[])).
% 8.78/6.72 tff(29059,plain,
% 8.78/6.72 (v168(constB141)),
% 8.78/6.72 inference(unit_resolution,[status(thm)],[29058, 29057, 29030])).
% 8.78/6.72 tff(29060,plain,
% 8.78/6.72 ((v142(constB141) | v168(constB141)) | (~v168(constB141))),
% 8.78/6.72 inference(tautology,[status(thm)],[])).
% 8.78/6.72 tff(29061,plain,
% 8.78/6.72 (v142(constB141) | v168(constB141)),
% 8.78/6.72 inference(unit_resolution,[status(thm)],[29060, 29059])).
% 8.78/6.72 tff(29062,plain,
% 8.78/6.72 ((~(v167(constB141) <=> (v142(constB141) | v168(constB141)))) | v167(constB141) | (~(v142(constB141) | v168(constB141)))),
% 8.78/6.72 inference(tautology,[status(thm)],[])).
% 8.78/6.72 tff(29063,plain,
% 8.78/6.72 ((~(v167(constB141) <=> (v142(constB141) | v168(constB141)))) | v167(constB141)),
% 8.78/6.72 inference(unit_resolution,[status(thm)],[29062, 29061])).
% 8.78/6.72 tff(29064,plain,
% 8.78/6.72 (v167(constB141)),
% 8.78/6.72 inference(unit_resolution,[status(thm)],[29063, 29028])).
% 8.78/6.72 tff(29065,plain,
% 8.78/6.72 ((v145(constB141) | v167(constB141)) | (~v167(constB141))),
% 8.78/6.72 inference(tautology,[status(thm)],[])).
% 8.78/6.72 tff(29066,plain,
% 8.78/6.72 (v145(constB141) | v167(constB141)),
% 8.78/6.72 inference(unit_resolution,[status(thm)],[29065, 29064])).
% 8.78/6.72 tff(29067,plain,
% 8.78/6.72 ((~(v166(constB141) <=> (v145(constB141) | v167(constB141)))) | v166(constB141) | (~(v145(constB141) | v167(constB141)))),
% 8.78/6.72 inference(tautology,[status(thm)],[])).
% 8.78/6.72 tff(29068,plain,
% 8.78/6.72 (v166(constB141)),
% 8.78/6.72 inference(unit_resolution,[status(thm)],[29067, 29066, 29026])).
% 8.78/6.72 tff(29069,plain,
% 8.78/6.72 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB141)) | (v163(constB141) <=> v170(constB141)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB141)) | (v163(constB141) <=> v170(constB141)))),
% 8.78/6.72 inference(rewrite,[status(thm)],[])).
% 8.78/6.72 tff(29070,plain,
% 8.78/6.72 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB141)) | (v163(constB141) <=> v170(constB141)))),
% 8.78/6.72 inference(quant_inst,[status(thm)],[])).
% 8.78/6.72 tff(29071,plain,
% 8.78/6.72 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB141)) | (v163(constB141) <=> v170(constB141))),
% 8.78/6.72 inference(modus_ponens,[status(thm)],[29070, 29069])).
% 8.78/6.72 tff(29072,plain,
% 8.78/6.72 ((~v166(constB141)) | (v163(constB141) <=> v170(constB141))),
% 8.78/6.72 inference(unit_resolution,[status(thm)],[29071, 9851])).
% 8.78/6.72 tff(29073,plain,
% 8.78/6.72 (v163(constB141) <=> v170(constB141)),
% 8.78/6.72 inference(unit_resolution,[status(thm)],[29072, 29068])).
% 8.78/6.72 tff(29074,plain,
% 8.78/6.72 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB141) <=> (v142(constB141) | v150(constB141)))),
% 8.78/6.72 inference(quant_inst,[status(thm)],[])).
% 8.78/6.72 tff(29075,plain,
% 8.78/6.72 (v171(constB141) <=> (v142(constB141) | v150(constB141))),
% 8.78/6.72 inference(unit_resolution,[status(thm)],[29074, 9866])).
% 8.78/6.72 tff(29076,plain,
% 8.78/6.72 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v141(VarCurr) | v151(VarCurr)))) | (v150(constB141) <=> (v141(constB141) | v151(constB141)))),
% 8.78/6.72 inference(quant_inst,[status(thm)],[])).
% 8.78/6.72 tff(29077,plain,
% 8.78/6.72 (v150(constB141) <=> (v141(constB141) | v151(constB141))),
% 8.78/6.72 inference(unit_resolution,[status(thm)],[29076, 9878])).
% 8.78/6.72 tff(29078,plain,
% 8.78/6.72 ((v141(constB141) | v151(constB141)) | (~v141(constB141))),
% 8.78/6.72 inference(tautology,[status(thm)],[])).
% 8.78/6.72 tff(29079,plain,
% 8.78/6.72 (v141(constB141) | v151(constB141)),
% 8.78/6.72 inference(unit_resolution,[status(thm)],[29078, 29055])).
% 8.78/6.72 tff(29080,plain,
% 8.78/6.72 ((~(v150(constB141) <=> (v141(constB141) | v151(constB141)))) | v150(constB141) | (~(v141(constB141) | v151(constB141)))),
% 8.78/6.72 inference(tautology,[status(thm)],[])).
% 8.78/6.72 tff(29081,plain,
% 8.78/6.72 (v150(constB141)),
% 8.78/6.72 inference(unit_resolution,[status(thm)],[29080, 29079, 29077])).
% 8.78/6.72 tff(29082,plain,
% 8.78/6.72 ((v142(constB141) | v150(constB141)) | (~v150(constB141))),
% 8.78/6.72 inference(tautology,[status(thm)],[])).
% 8.78/6.72 tff(29083,plain,
% 8.78/6.72 (v142(constB141) | v150(constB141)),
% 8.78/6.72 inference(unit_resolution,[status(thm)],[29082, 29081])).
% 8.78/6.72 tff(29084,plain,
% 8.78/6.72 ((~(v171(constB141) <=> (v142(constB141) | v150(constB141)))) | v171(constB141) | (~(v142(constB141) | v150(constB141)))),
% 8.78/6.72 inference(tautology,[status(thm)],[])).
% 8.78/6.72 tff(29085,plain,
% 8.78/6.72 ((~(v171(constB141) <=> (v142(constB141) | v150(constB141)))) | v171(constB141)),
% 8.78/6.72 inference(unit_resolution,[status(thm)],[29084, 29083])).
% 8.78/6.72 tff(29086,plain,
% 8.78/6.72 (v171(constB141)),
% 8.78/6.72 inference(unit_resolution,[status(thm)],[29085, 29075])).
% 8.78/6.72 tff(29087,plain,
% 8.78/6.72 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB141)) | (~v171(constB141)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB141)) | (~v171(constB141)))),
% 8.78/6.72 inference(rewrite,[status(thm)],[])).
% 8.78/6.72 tff(29088,plain,
% 8.78/6.72 (((~v171(constB141)) | (~v170(constB141))) <=> ((~v170(constB141)) | (~v171(constB141)))),
% 8.78/6.72 inference(rewrite,[status(thm)],[])).
% 8.78/6.72 tff(29089,plain,
% 8.78/6.72 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB141)) | (~v170(constB141)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB141)) | (~v171(constB141))))),
% 8.78/6.72 inference(monotonicity,[status(thm)],[29088])).
% 8.78/6.72 tff(29090,plain,
% 8.78/6.72 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB141)) | (~v170(constB141)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB141)) | (~v171(constB141)))),
% 8.78/6.72 inference(transitivity,[status(thm)],[29089, 29087])).
% 8.78/6.72 tff(29091,plain,
% 8.78/6.72 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB141)) | (~v170(constB141)))),
% 8.78/6.72 inference(quant_inst,[status(thm)],[])).
% 8.78/6.72 tff(29092,plain,
% 8.78/6.72 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB141)) | (~v171(constB141))),
% 8.78/6.72 inference(modus_ponens,[status(thm)],[29091, 29090])).
% 8.78/6.72 tff(29093,plain,
% 8.78/6.72 (~v170(constB141)),
% 8.78/6.72 inference(unit_resolution,[status(thm)],[29092, 9899, 29086])).
% 8.78/6.72 tff(29094,plain,
% 8.78/6.72 ((~(v163(constB141) <=> v170(constB141))) | (~v163(constB141)) | v170(constB141)),
% 8.78/6.72 inference(tautology,[status(thm)],[])).
% 8.78/6.72 tff(29095,plain,
% 8.78/6.72 (~v163(constB141)),
% 8.78/6.72 inference(unit_resolution,[status(thm)],[29094, 29093, 29073])).
% 8.78/6.72 tff(29096,plain,
% 8.78/6.72 ((~(v161(constB141) <=> v163(constB141))) | (~v161(constB141)) | v163(constB141)),
% 8.78/6.72 inference(tautology,[status(thm)],[])).
% 8.78/6.72 tff(29097,plain,
% 8.78/6.72 (~v161(constB141)),
% 8.78/6.72 inference(unit_resolution,[status(thm)],[29096, 29095, 29024])).
% 8.78/6.72 tff(29098,plain,
% 8.78/6.72 (((~v159(constB141)) | (~v161(constB141))) | v161(constB141)),
% 8.78/6.72 inference(tautology,[status(thm)],[])).
% 8.78/6.72 tff(29099,plain,
% 8.78/6.72 ((~v159(constB141)) | (~v161(constB141))),
% 8.78/6.72 inference(unit_resolution,[status(thm)],[29098, 29097])).
% 8.78/6.72 tff(29100,plain,
% 8.78/6.72 ((~(v201(constB141) <=> (~((~v159(constB141)) | (~v161(constB141)))))) | (~v201(constB141)) | (~((~v159(constB141)) | (~v161(constB141))))),
% 8.78/6.72 inference(tautology,[status(thm)],[])).
% 8.78/6.72 tff(29101,plain,
% 8.78/6.72 (~v201(constB141)),
% 8.78/6.72 inference(unit_resolution,[status(thm)],[29100, 29099, 29022])).
% 8.78/6.72 tff(29102,plain,
% 8.78/6.72 (((~v197(constB141)) | (~v201(constB141))) | v201(constB141)),
% 8.78/6.72 inference(tautology,[status(thm)],[])).
% 8.78/6.72 tff(29103,plain,
% 8.78/6.72 ((~v197(constB141)) | (~v201(constB141))),
% 8.78/6.72 inference(unit_resolution,[status(thm)],[29102, 29101])).
% 8.78/6.72 tff(29104,plain,
% 8.78/6.72 ((~(v200(constB141) <=> (~((~v197(constB141)) | (~v201(constB141)))))) | (~v200(constB141)) | (~((~v197(constB141)) | (~v201(constB141))))),
% 8.78/6.72 inference(tautology,[status(thm)],[])).
% 8.78/6.72 tff(29105,plain,
% 8.78/6.72 (~v200(constB141)),
% 8.78/6.72 inference(unit_resolution,[status(thm)],[29104, 29103, 29020])).
% 8.78/6.72 tff(29106,plain,
% 8.78/6.72 (((~v199(constB141)) | (~v200(constB141))) | v200(constB141)),
% 8.78/6.72 inference(tautology,[status(thm)],[])).
% 8.78/6.72 tff(29107,plain,
% 8.78/6.72 ((~v199(constB141)) | (~v200(constB141))),
% 8.78/6.72 inference(unit_resolution,[status(thm)],[29106, 29105])).
% 8.78/6.72 tff(29108,plain,
% 8.78/6.72 ((~(v198(constB141) <=> (~((~v199(constB141)) | (~v200(constB141)))))) | (~v198(constB141)) | (~((~v199(constB141)) | (~v200(constB141))))),
% 8.78/6.72 inference(tautology,[status(thm)],[])).
% 8.78/6.72 tff(29109,plain,
% 8.78/6.72 (~v198(constB141)),
% 8.78/6.72 inference(unit_resolution,[status(thm)],[29108, 29107, 29018])).
% 8.78/6.72 tff(29110,plain,
% 8.78/6.72 ((~(v194(constB141) | v198(constB141))) | v194(constB141) | v198(constB141)),
% 8.78/6.72 inference(tautology,[status(thm)],[])).
% 8.78/6.72 tff(29111,plain,
% 8.78/6.72 (~(v194(constB141) | v198(constB141))),
% 8.78/6.72 inference(unit_resolution,[status(thm)],[29110, 29109, 29016])).
% 8.78/6.72 tff(29112,plain,
% 8.78/6.72 ((~(v191(constB141) <=> (v194(constB141) | v198(constB141)))) | (~v191(constB141)) | (v194(constB141) | v198(constB141))),
% 8.78/6.72 inference(tautology,[status(thm)],[])).
% 8.78/6.72 tff(29113,plain,
% 8.78/6.72 (~v191(constB141)),
% 8.78/6.72 inference(unit_resolution,[status(thm)],[29112, 29111, 28943])).
% 8.78/6.72 tff(29114,plain,
% 8.78/6.72 ((~(v193(constB142) <=> v191(constB141))) | (~v193(constB142)) | v191(constB141)),
% 8.78/6.72 inference(tautology,[status(thm)],[])).
% 8.78/6.72 tff(29115,plain,
% 8.78/6.72 (~v193(constB142)),
% 8.78/6.72 inference(unit_resolution,[status(thm)],[29114, 29113, 28941])).
% 8.78/6.72 tff(29116,plain,
% 8.78/6.72 ((~(v157(constB142) <=> v193(constB142))) | (~v157(constB142)) | v193(constB142)),
% 8.78/6.72 inference(tautology,[status(thm)],[])).
% 8.78/6.72 tff(29117,plain,
% 8.78/6.72 (~v157(constB142)),
% 8.78/6.72 inference(unit_resolution,[status(thm)],[29116, 29115, 28937])).
% 8.78/6.72 tff(29118,plain,
% 8.78/6.72 (((~v157(constB142)) | (~v195(constB142))) | v157(constB142)),
% 8.78/6.72 inference(tautology,[status(thm)],[])).
% 8.78/6.72 tff(29119,plain,
% 8.78/6.72 ((~v157(constB142)) | (~v195(constB142))),
% 8.78/6.72 inference(unit_resolution,[status(thm)],[29118, 29117])).
% 8.78/6.72 tff(29120,plain,
% 8.78/6.72 ((~(v194(constB142) <=> (~((~v157(constB142)) | (~v195(constB142)))))) | (~v194(constB142)) | (~((~v157(constB142)) | (~v195(constB142))))),
% 8.78/6.72 inference(tautology,[status(thm)],[])).
% 8.78/6.72 tff(29121,plain,
% 8.78/6.72 (~v194(constB142)),
% 8.78/6.72 inference(unit_resolution,[status(thm)],[29120, 29119, 28935])).
% 8.78/6.72 tff(29122,plain,
% 8.78/6.72 ((~(v194(constB142) | v198(constB142))) | v194(constB142) | v198(constB142)),
% 8.78/6.72 inference(tautology,[status(thm)],[])).
% 8.78/6.72 tff(29123,plain,
% 8.78/6.72 (~(v194(constB142) | v198(constB142))),
% 8.78/6.72 inference(unit_resolution,[status(thm)],[29122, 29121, 28928])).
% 8.78/6.72 tff(29124,plain,
% 8.78/6.72 ((~(v191(constB142) <=> (v194(constB142) | v198(constB142)))) | (~v191(constB142)) | (v194(constB142) | v198(constB142))),
% 8.78/6.72 inference(tautology,[status(thm)],[])).
% 8.78/6.72 tff(29125,plain,
% 8.78/6.72 (~v191(constB142)),
% 8.78/6.72 inference(unit_resolution,[status(thm)],[29124, 29123, 28903])).
% 8.78/6.72 tff(29126,plain,
% 8.78/6.72 ((~(v193(constB143) <=> v191(constB142))) | (~v193(constB143)) | v191(constB142)),
% 8.78/6.72 inference(tautology,[status(thm)],[])).
% 8.78/6.72 tff(29127,plain,
% 8.78/6.72 (~v193(constB143)),
% 8.78/6.72 inference(unit_resolution,[status(thm)],[29126, 29125, 28901])).
% 8.78/6.72 tff(29128,plain,
% 8.78/6.72 ($false),
% 8.78/6.72 inference(unit_resolution,[status(thm)],[29127, 28897])).
% 8.78/6.72 tff(29129,plain,(~(constB143 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.78/6.72 tff(29130,assumption,(constB149 = VarCurr!0), introduced(assumption)).
% 8.78/6.72 tff(29131,plain,
% 8.78/6.72 (v86(constB149) <=> v86(VarCurr!0)),
% 8.78/6.72 inference(monotonicity,[status(thm)],[29130])).
% 8.78/6.72 tff(29132,plain,
% 8.78/6.72 (v86(VarCurr!0) <=> v86(constB149)),
% 8.78/6.72 inference(symmetry,[status(thm)],[29131])).
% 8.78/6.72 tff(29133,plain,
% 8.78/6.72 ((~v86(VarCurr!0)) <=> (~v86(constB149))),
% 8.78/6.72 inference(monotonicity,[status(thm)],[29132])).
% 8.78/6.72 tff(29134,plain,
% 8.78/6.72 (~v86(constB149)),
% 8.78/6.72 inference(modus_ponens,[status(thm)],[14736, 29133])).
% 8.78/6.72 tff(29135,plain,
% 8.78/6.72 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB149) <=> (v136(constB149) | v145(constB149)))),
% 8.78/6.72 inference(quant_inst,[status(thm)],[])).
% 8.78/6.72 tff(29136,plain,
% 8.78/6.72 (v135(constB149) <=> (v136(constB149) | v145(constB149))),
% 8.78/6.72 inference(unit_resolution,[status(thm)],[29135, 14744])).
% 8.78/6.72 tff(29137,plain,
% 8.78/6.72 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB149) <=> (v137(constB149) | v142(constB149)))),
% 8.78/6.72 inference(quant_inst,[status(thm)],[])).
% 8.78/6.72 tff(29138,plain,
% 8.78/6.72 (v136(constB149) <=> (v137(constB149) | v142(constB149))),
% 8.78/6.72 inference(unit_resolution,[status(thm)],[29137, 14753])).
% 8.78/6.72 tff(29139,plain,
% 8.78/6.72 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB149) <=> (v143(constB149) | v144(constB149)))),
% 8.78/6.72 inference(quant_inst,[status(thm)],[])).
% 8.78/6.72 tff(29140,plain,
% 8.78/6.72 (v142(constB149) <=> (v143(constB149) | v144(constB149))),
% 8.78/6.72 inference(unit_resolution,[status(thm)],[29139, 10332])).
% 8.78/6.72 tff(29141,plain,
% 8.78/6.72 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB149) <=> (~((~v88(constB149, bitIndex1)) | v88(constB149, bitIndex2) | v88(constB149, bitIndex0))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB149) <=> (~((~v88(constB149, bitIndex1)) | v88(constB149, bitIndex2) | v88(constB149, bitIndex0)))))),
% 8.78/6.72 inference(rewrite,[status(thm)],[])).
% 8.78/6.72 tff(29142,plain,
% 8.78/6.72 ((v143(constB149) <=> (~(v88(constB149, bitIndex0) | v88(constB149, bitIndex2) | (~v88(constB149, bitIndex1))))) <=> (v143(constB149) <=> (~((~v88(constB149, bitIndex1)) | v88(constB149, bitIndex2) | v88(constB149, bitIndex0))))),
% 8.78/6.72 inference(rewrite,[status(thm)],[])).
% 8.78/6.72 tff(29143,plain,
% 8.78/6.72 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB149) <=> (~(v88(constB149, bitIndex0) | v88(constB149, bitIndex2) | (~v88(constB149, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB149) <=> (~((~v88(constB149, bitIndex1)) | v88(constB149, bitIndex2) | v88(constB149, bitIndex0)))))),
% 8.78/6.72 inference(monotonicity,[status(thm)],[29142])).
% 8.78/6.72 tff(29144,plain,
% 8.78/6.72 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB149) <=> (~(v88(constB149, bitIndex0) | v88(constB149, bitIndex2) | (~v88(constB149, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB149) <=> (~((~v88(constB149, bitIndex1)) | v88(constB149, bitIndex2) | v88(constB149, bitIndex0)))))),
% 8.78/6.72 inference(transitivity,[status(thm)],[29143, 29141])).
% 8.78/6.72 tff(29145,plain,
% 8.78/6.72 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB149) <=> (~(v88(constB149, bitIndex0) | v88(constB149, bitIndex2) | (~v88(constB149, bitIndex1)))))),
% 8.78/6.72 inference(quant_inst,[status(thm)],[])).
% 8.78/6.72 tff(29146,plain,
% 8.78/6.72 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB149) <=> (~((~v88(constB149, bitIndex1)) | v88(constB149, bitIndex2) | v88(constB149, bitIndex0))))),
% 8.78/6.72 inference(modus_ponens,[status(thm)],[29145, 29144])).
% 8.78/6.72 tff(29147,plain,
% 8.78/6.72 (v143(constB149) <=> (~((~v88(constB149, bitIndex1)) | v88(constB149, bitIndex2) | v88(constB149, bitIndex0)))),
% 8.78/6.72 inference(unit_resolution,[status(thm)],[29146, 14770])).
% 8.78/6.72 tff(29148,plain,
% 8.78/6.72 ((~![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))) | (~(((~v88(constB149, bitIndex1)) <=> v90(constB149, bitIndex1)) | ((~v88(constB149, bitIndex2)) <=> v90(constB149, bitIndex2)) | ((~v88(constB149, bitIndex0)) <=> v90(constB149, bitIndex0))))),
% 8.78/6.72 inference(quant_inst,[status(thm)],[])).
% 8.78/6.72 tff(29149,plain,
% 8.78/6.72 (~(((~v88(constB149, bitIndex1)) <=> v90(constB149, bitIndex1)) | ((~v88(constB149, bitIndex2)) <=> v90(constB149, bitIndex2)) | ((~v88(constB149, bitIndex0)) <=> v90(constB149, bitIndex0)))),
% 8.78/6.72 inference(unit_resolution,[status(thm)],[29148, 428])).
% 8.78/6.72 tff(29150,plain,
% 8.78/6.72 ((((~v88(constB149, bitIndex1)) <=> v90(constB149, bitIndex1)) | ((~v88(constB149, bitIndex2)) <=> v90(constB149, bitIndex2)) | ((~v88(constB149, bitIndex0)) <=> v90(constB149, bitIndex0))) | (~((~v88(constB149, bitIndex2)) <=> v90(constB149, bitIndex2)))),
% 8.78/6.72 inference(tautology,[status(thm)],[])).
% 8.78/6.72 tff(29151,plain,
% 8.78/6.72 (~((~v88(constB149, bitIndex2)) <=> v90(constB149, bitIndex2))),
% 8.78/6.72 inference(unit_resolution,[status(thm)],[29150, 29149])).
% 8.78/6.72 tff(29152,plain,
% 8.78/6.72 (((~v88(constB149, bitIndex2)) <=> v90(constB149, bitIndex2)) | (~v88(constB149, bitIndex2)) | v90(constB149, bitIndex2)),
% 8.78/6.72 inference(tautology,[status(thm)],[])).
% 8.78/6.72 tff(29153,plain,
% 8.78/6.72 (~v88(constB149, bitIndex2)),
% 8.78/6.72 inference(unit_resolution,[status(thm)],[29152, 20264, 29151])).
% 8.78/6.72 tff(29154,plain,
% 8.78/6.72 ((((~v88(constB149, bitIndex1)) <=> v90(constB149, bitIndex1)) | ((~v88(constB149, bitIndex2)) <=> v90(constB149, bitIndex2)) | ((~v88(constB149, bitIndex0)) <=> v90(constB149, bitIndex0))) | (~((~v88(constB149, bitIndex0)) <=> v90(constB149, bitIndex0)))),
% 8.78/6.72 inference(tautology,[status(thm)],[])).
% 8.78/6.72 tff(29155,plain,
% 8.78/6.72 (~((~v88(constB149, bitIndex0)) <=> v90(constB149, bitIndex0))),
% 8.78/6.72 inference(unit_resolution,[status(thm)],[29154, 29149])).
% 8.78/6.72 tff(29156,plain,
% 8.78/6.72 (((~v88(constB149, bitIndex0)) <=> v90(constB149, bitIndex0)) | (~v88(constB149, bitIndex0)) | v90(constB149, bitIndex0)),
% 8.78/6.72 inference(tautology,[status(thm)],[])).
% 8.78/6.72 tff(29157,plain,
% 8.78/6.72 (~v88(constB149, bitIndex0)),
% 8.78/6.72 inference(unit_resolution,[status(thm)],[29156, 20282, 29155])).
% 8.78/6.72 tff(29158,plain,
% 8.78/6.72 ((((~v88(constB149, bitIndex1)) <=> v90(constB149, bitIndex1)) | ((~v88(constB149, bitIndex2)) <=> v90(constB149, bitIndex2)) | ((~v88(constB149, bitIndex0)) <=> v90(constB149, bitIndex0))) | (~((~v88(constB149, bitIndex1)) <=> v90(constB149, bitIndex1)))),
% 8.78/6.72 inference(tautology,[status(thm)],[])).
% 8.78/6.72 tff(29159,plain,
% 8.78/6.72 (~((~v88(constB149, bitIndex1)) <=> v90(constB149, bitIndex1))),
% 8.78/6.72 inference(unit_resolution,[status(thm)],[29158, 29149])).
% 8.78/6.72 tff(29160,plain,
% 8.78/6.72 (((~v88(constB149, bitIndex1)) <=> v90(constB149, bitIndex1)) | v88(constB149, bitIndex1) | (~v90(constB149, bitIndex1))),
% 8.78/6.72 inference(tautology,[status(thm)],[])).
% 8.78/6.72 tff(29161,plain,
% 8.78/6.72 (v88(constB149, bitIndex1)),
% 8.78/6.72 inference(unit_resolution,[status(thm)],[29160, 20300, 29159])).
% 8.78/6.72 tff(29162,plain,
% 8.78/6.72 ((~((~v88(constB149, bitIndex1)) | v88(constB149, bitIndex2) | v88(constB149, bitIndex0))) | (~v88(constB149, bitIndex1)) | v88(constB149, bitIndex2) | v88(constB149, bitIndex0)),
% 8.78/6.72 inference(tautology,[status(thm)],[])).
% 8.78/6.72 tff(29163,plain,
% 8.78/6.72 (~((~v88(constB149, bitIndex1)) | v88(constB149, bitIndex2) | v88(constB149, bitIndex0))),
% 8.78/6.72 inference(unit_resolution,[status(thm)],[29162, 29161, 29157, 29153])).
% 8.78/6.72 tff(29164,plain,
% 8.78/6.72 ((~(v143(constB149) <=> (~((~v88(constB149, bitIndex1)) | v88(constB149, bitIndex2) | v88(constB149, bitIndex0))))) | v143(constB149) | ((~v88(constB149, bitIndex1)) | v88(constB149, bitIndex2) | v88(constB149, bitIndex0))),
% 8.78/6.72 inference(tautology,[status(thm)],[])).
% 8.78/6.72 tff(29165,plain,
% 8.78/6.72 (v143(constB149)),
% 8.78/6.72 inference(unit_resolution,[status(thm)],[29164, 29163, 29147])).
% 8.78/6.72 tff(29166,plain,
% 8.78/6.72 ((v143(constB149) | v144(constB149)) | (~v143(constB149))),
% 8.78/6.72 inference(tautology,[status(thm)],[])).
% 8.78/6.72 tff(29167,plain,
% 8.78/6.72 (v143(constB149) | v144(constB149)),
% 8.78/6.72 inference(unit_resolution,[status(thm)],[29166, 29165])).
% 8.78/6.72 tff(29168,plain,
% 8.78/6.72 ((~(v142(constB149) <=> (v143(constB149) | v144(constB149)))) | v142(constB149) | (~(v143(constB149) | v144(constB149)))),
% 8.78/6.72 inference(tautology,[status(thm)],[])).
% 8.78/6.72 tff(29169,plain,
% 8.78/6.72 (v142(constB149)),
% 8.78/6.72 inference(unit_resolution,[status(thm)],[29168, 29167, 29140])).
% 8.78/6.72 tff(29170,plain,
% 8.78/6.72 ((v137(constB149) | v142(constB149)) | (~v142(constB149))),
% 8.78/6.72 inference(tautology,[status(thm)],[])).
% 8.78/6.72 tff(29171,plain,
% 8.78/6.72 (v137(constB149) | v142(constB149)),
% 8.78/6.72 inference(unit_resolution,[status(thm)],[29170, 29169])).
% 8.78/6.72 tff(29172,plain,
% 8.78/6.72 ((~(v136(constB149) <=> (v137(constB149) | v142(constB149)))) | v136(constB149) | (~(v137(constB149) | v142(constB149)))),
% 8.78/6.72 inference(tautology,[status(thm)],[])).
% 8.78/6.72 tff(29173,plain,
% 8.78/6.72 ((~(v136(constB149) <=> (v137(constB149) | v142(constB149)))) | v136(constB149)),
% 8.78/6.72 inference(unit_resolution,[status(thm)],[29172, 29171])).
% 8.78/6.72 tff(29174,plain,
% 8.78/6.72 (v136(constB149)),
% 8.78/6.72 inference(unit_resolution,[status(thm)],[29173, 29138])).
% 8.78/6.72 tff(29175,plain,
% 8.78/6.72 ((v136(constB149) | v145(constB149)) | (~v136(constB149))),
% 8.78/6.72 inference(tautology,[status(thm)],[])).
% 8.78/6.72 tff(29176,plain,
% 8.78/6.72 (v136(constB149) | v145(constB149)),
% 8.78/6.72 inference(unit_resolution,[status(thm)],[29175, 29174])).
% 8.78/6.72 tff(29177,plain,
% 8.78/6.72 ((~(v135(constB149) <=> (v136(constB149) | v145(constB149)))) | v135(constB149) | (~(v136(constB149) | v145(constB149)))),
% 8.78/6.72 inference(tautology,[status(thm)],[])).
% 8.78/6.72 tff(29178,plain,
% 8.78/6.72 (v135(constB149)),
% 8.78/6.72 inference(unit_resolution,[status(thm)],[29177, 29176, 29136])).
% 8.78/6.72 tff(29179,plain,
% 8.78/6.72 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB149)) | (v86(constB149) <=> v148(constB149)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB149)) | (v86(constB149) <=> v148(constB149)))),
% 8.78/6.72 inference(rewrite,[status(thm)],[])).
% 8.78/6.72 tff(29180,plain,
% 8.78/6.72 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB149)) | (v86(constB149) <=> v148(constB149)))),
% 8.78/6.72 inference(quant_inst,[status(thm)],[])).
% 8.78/6.72 tff(29181,plain,
% 8.78/6.72 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB149)) | (v86(constB149) <=> v148(constB149))),
% 8.78/6.72 inference(modus_ponens,[status(thm)],[29180, 29179])).
% 8.78/6.72 tff(29182,plain,
% 8.78/6.72 (v86(constB149) <=> v148(constB149)),
% 8.78/6.72 inference(unit_resolution,[status(thm)],[29181, 14818, 29178])).
% 8.78/6.72 tff(29183,plain,
% 8.78/6.72 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB149) | (~v142(constB149)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB149) | (~v142(constB149)))),
% 8.78/6.72 inference(rewrite,[status(thm)],[])).
% 8.78/6.72 tff(29184,plain,
% 8.78/6.72 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB149) | (~v142(constB149)))),
% 8.78/6.72 inference(quant_inst,[status(thm)],[])).
% 8.78/6.72 tff(29185,plain,
% 8.78/6.72 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB149) | (~v142(constB149))),
% 8.78/6.72 inference(modus_ponens,[status(thm)],[29184, 29183])).
% 8.78/6.72 tff(29186,plain,
% 8.78/6.72 (v148(constB149)),
% 8.78/6.72 inference(unit_resolution,[status(thm)],[29185, 14832, 29169])).
% 8.78/6.72 tff(29187,plain,
% 8.78/6.72 ((~(v86(constB149) <=> v148(constB149))) | v86(constB149) | (~v148(constB149))),
% 8.78/6.72 inference(tautology,[status(thm)],[])).
% 8.78/6.72 tff(29188,plain,
% 8.78/6.72 ((~(v86(constB149) <=> v148(constB149))) | v86(constB149)),
% 8.78/6.72 inference(unit_resolution,[status(thm)],[29187, 29186])).
% 8.78/6.72 tff(29189,plain,
% 8.78/6.72 (v86(constB149)),
% 8.78/6.72 inference(unit_resolution,[status(thm)],[29188, 29182])).
% 8.78/6.72 tff(29190,plain,
% 8.78/6.72 ($false),
% 8.78/6.72 inference(unit_resolution,[status(thm)],[29189, 29134])).
% 8.78/6.72 tff(29191,plain,(~(constB149 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.78/6.72 tff(29192,assumption,(constB21 = VarCurr!0), introduced(assumption)).
% 8.78/6.72 tff(29193,plain,
% 8.78/6.72 (v193(constB21) <=> v193(VarCurr!0)),
% 8.78/6.72 inference(monotonicity,[status(thm)],[29192])).
% 8.78/6.72 tff(29194,plain,
% 8.78/6.72 (v193(VarCurr!0) <=> v193(constB21)),
% 8.78/6.72 inference(symmetry,[status(thm)],[29193])).
% 8.78/6.72 tff(29195,plain,
% 8.78/6.72 (v193(constB21)),
% 8.78/6.72 inference(modus_ponens,[status(thm)],[59, 29194])).
% 8.78/6.72 tff(29196,plain,
% 8.78/6.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB20, constB21)) | (v193(constB21) <=> v191(constB20)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB20, constB21)) | (v193(constB21) <=> v191(constB20)))),
% 8.78/6.72 inference(rewrite,[status(thm)],[])).
% 8.78/6.72 tff(29197,plain,
% 8.78/6.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB20, constB21)) | (v193(constB21) <=> v191(constB20)))),
% 8.78/6.72 inference(quant_inst,[status(thm)],[])).
% 8.78/6.72 tff(29198,plain,
% 8.78/6.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB20, constB21)) | (v193(constB21) <=> v191(constB20))),
% 8.78/6.72 inference(modus_ponens,[status(thm)],[29197, 29196])).
% 8.78/6.72 tff(29199,plain,
% 8.78/6.72 (v193(constB21) <=> v191(constB20)),
% 8.78/6.72 inference(unit_resolution,[status(thm)],[29198, 2502, 70])).
% 8.78/6.72 tff(29200,plain,
% 8.78/6.72 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB20) <=> (v194(constB20) | v198(constB20)))),
% 8.78/6.72 inference(quant_inst,[status(thm)],[])).
% 8.78/6.72 tff(29201,plain,
% 8.78/6.72 (v191(constB20) <=> (v194(constB20) | v198(constB20))),
% 8.78/6.72 inference(unit_resolution,[status(thm)],[29200, 84])).
% 8.78/6.72 tff(29202,plain,
% 8.78/6.72 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB20) <=> (~((~v199(constB20)) | (~v200(constB20)))))),
% 8.78/6.72 inference(quant_inst,[status(thm)],[])).
% 8.78/6.72 tff(29203,plain,
% 8.78/6.72 (v198(constB20) <=> (~((~v199(constB20)) | (~v200(constB20))))),
% 8.78/6.72 inference(unit_resolution,[status(thm)],[29202, 96])).
% 8.78/6.72 tff(29204,plain,
% 8.78/6.72 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB20) <=> (~((~v197(constB20)) | (~v201(constB20)))))),
% 8.78/6.72 inference(quant_inst,[status(thm)],[])).
% 8.78/6.72 tff(29205,plain,
% 8.78/6.72 (v200(constB20) <=> (~((~v197(constB20)) | (~v201(constB20))))),
% 8.78/6.72 inference(unit_resolution,[status(thm)],[29204, 108])).
% 8.78/6.72 tff(29206,plain,
% 8.78/6.72 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB20) <=> (~((~v39(constB20)) | (~v9(constB20)))))),
% 8.78/6.72 inference(quant_inst,[status(thm)],[])).
% 8.78/6.72 tff(29207,plain,
% 8.78/6.72 (v197(constB20) <=> (~((~v39(constB20)) | (~v9(constB20))))),
% 8.78/6.72 inference(unit_resolution,[status(thm)],[29206, 120])).
% 8.78/6.72 tff(29208,plain,
% 8.78/6.72 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB20)) <=> v1(constB20))),
% 8.78/6.72 inference(quant_inst,[status(thm)],[])).
% 8.78/6.72 tff(29209,plain,
% 8.78/6.72 ((~v39(constB20)) <=> v1(constB20)),
% 8.78/6.72 inference(unit_resolution,[status(thm)],[29208, 129])).
% 8.78/6.72 tff(29210,plain,
% 8.78/6.72 ((~((~v39(constB20)) <=> v1(constB20))) | (~v39(constB20)) | (~v1(constB20))),
% 8.78/6.72 inference(tautology,[status(thm)],[])).
% 8.78/6.72 tff(29211,plain,
% 8.78/6.72 ((~((~v39(constB20)) <=> v1(constB20))) | (~v39(constB20))),
% 8.78/6.72 inference(unit_resolution,[status(thm)],[29210, 4907])).
% 8.78/6.72 tff(29212,plain,
% 8.78/6.72 (~v39(constB20)),
% 8.78/6.72 inference(unit_resolution,[status(thm)],[29211, 29209])).
% 8.78/6.72 tff(29213,plain,
% 8.78/6.72 (((~v39(constB20)) | (~v9(constB20))) | v39(constB20)),
% 8.78/6.72 inference(tautology,[status(thm)],[])).
% 8.78/6.72 tff(29214,plain,
% 8.78/6.72 ((~v39(constB20)) | (~v9(constB20))),
% 8.78/6.72 inference(unit_resolution,[status(thm)],[29213, 29212])).
% 8.78/6.72 tff(29215,plain,
% 8.78/6.72 ((~(v197(constB20) <=> (~((~v39(constB20)) | (~v9(constB20)))))) | (~v197(constB20)) | (~((~v39(constB20)) | (~v9(constB20))))),
% 8.78/6.72 inference(tautology,[status(thm)],[])).
% 8.78/6.72 tff(29216,plain,
% 8.78/6.72 ((~(v197(constB20) <=> (~((~v39(constB20)) | (~v9(constB20)))))) | (~v197(constB20))),
% 8.78/6.72 inference(unit_resolution,[status(thm)],[29215, 29214])).
% 8.78/6.72 tff(29217,plain,
% 8.78/6.72 (~v197(constB20)),
% 8.78/6.72 inference(unit_resolution,[status(thm)],[29216, 29207])).
% 8.78/6.72 tff(29218,plain,
% 8.78/6.72 (((~v197(constB20)) | (~v201(constB20))) | v197(constB20)),
% 8.78/6.72 inference(tautology,[status(thm)],[])).
% 8.78/6.72 tff(29219,plain,
% 8.78/6.72 ((~v197(constB20)) | (~v201(constB20))),
% 8.78/6.72 inference(unit_resolution,[status(thm)],[29218, 29217])).
% 8.78/6.72 tff(29220,plain,
% 8.78/6.72 ((~(v200(constB20) <=> (~((~v197(constB20)) | (~v201(constB20)))))) | (~v200(constB20)) | (~((~v197(constB20)) | (~v201(constB20))))),
% 8.78/6.72 inference(tautology,[status(thm)],[])).
% 8.78/6.72 tff(29221,plain,
% 8.78/6.72 ((~(v200(constB20) <=> (~((~v197(constB20)) | (~v201(constB20)))))) | (~v200(constB20))),
% 8.78/6.72 inference(unit_resolution,[status(thm)],[29220, 29219])).
% 8.78/6.72 tff(29222,plain,
% 8.78/6.72 (~v200(constB20)),
% 8.78/6.72 inference(unit_resolution,[status(thm)],[29221, 29205])).
% 8.78/6.72 tff(29223,plain,
% 8.78/6.72 (((~v199(constB20)) | (~v200(constB20))) | v200(constB20)),
% 8.78/6.72 inference(tautology,[status(thm)],[])).
% 8.78/6.72 tff(29224,plain,
% 8.78/6.72 ((~v199(constB20)) | (~v200(constB20))),
% 8.78/6.72 inference(unit_resolution,[status(thm)],[29223, 29222])).
% 8.78/6.72 tff(29225,plain,
% 8.78/6.72 ((~(v198(constB20) <=> (~((~v199(constB20)) | (~v200(constB20)))))) | (~v198(constB20)) | (~((~v199(constB20)) | (~v200(constB20))))),
% 8.78/6.72 inference(tautology,[status(thm)],[])).
% 8.78/6.72 tff(29226,plain,
% 8.78/6.72 (~v198(constB20)),
% 8.78/6.72 inference(unit_resolution,[status(thm)],[29225, 29224, 29203])).
% 8.78/6.72 tff(29227,plain,
% 8.78/6.72 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB20) <=> (~((~v157(constB20)) | (~v195(constB20)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB20) <=> (~((~v157(constB20)) | (~v195(constB20))))))),
% 8.78/6.72 inference(rewrite,[status(thm)],[])).
% 8.78/6.72 tff(29228,plain,
% 8.78/6.72 ((v194(constB20) <=> (~((~v195(constB20)) | (~v157(constB20))))) <=> (v194(constB20) <=> (~((~v157(constB20)) | (~v195(constB20)))))),
% 8.78/6.72 inference(rewrite,[status(thm)],[])).
% 8.78/6.72 tff(29229,plain,
% 8.78/6.72 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB20) <=> (~((~v195(constB20)) | (~v157(constB20)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB20) <=> (~((~v157(constB20)) | (~v195(constB20))))))),
% 8.78/6.72 inference(monotonicity,[status(thm)],[29228])).
% 8.78/6.72 tff(29230,plain,
% 8.78/6.72 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB20) <=> (~((~v195(constB20)) | (~v157(constB20)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB20) <=> (~((~v157(constB20)) | (~v195(constB20))))))),
% 8.78/6.72 inference(transitivity,[status(thm)],[29229, 29227])).
% 8.78/6.72 tff(29231,plain,
% 8.78/6.72 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB20) <=> (~((~v195(constB20)) | (~v157(constB20)))))),
% 8.78/6.72 inference(quant_inst,[status(thm)],[])).
% 8.78/6.72 tff(29232,plain,
% 8.78/6.72 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB20) <=> (~((~v157(constB20)) | (~v195(constB20)))))),
% 8.78/6.72 inference(modus_ponens,[status(thm)],[29231, 29230])).
% 8.78/6.72 tff(29233,plain,
% 8.78/6.72 (v194(constB20) <=> (~((~v157(constB20)) | (~v195(constB20))))),
% 8.78/6.72 inference(unit_resolution,[status(thm)],[29232, 161])).
% 8.78/6.72 tff(29234,plain,
% 8.78/6.72 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB20) <=> v193(constB20))),
% 8.78/6.72 inference(quant_inst,[status(thm)],[])).
% 8.78/6.72 tff(29235,plain,
% 8.78/6.72 (v157(constB20) <=> v193(constB20)),
% 8.78/6.72 inference(unit_resolution,[status(thm)],[29234, 13])).
% 8.78/6.72 tff(29236,plain,
% 8.78/6.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB19, constB20)) | (v193(constB20) <=> v191(constB19)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB19, constB20)) | (v193(constB20) <=> v191(constB19)))),
% 8.78/6.72 inference(rewrite,[status(thm)],[])).
% 8.78/6.72 tff(29237,plain,
% 8.78/6.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB19, constB20)) | (v193(constB20) <=> v191(constB19)))),
% 8.78/6.72 inference(quant_inst,[status(thm)],[])).
% 8.78/6.72 tff(29238,plain,
% 8.78/6.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB19, constB20)) | (v193(constB20) <=> v191(constB19))),
% 8.78/6.72 inference(modus_ponens,[status(thm)],[29237, 29236])).
% 8.78/6.72 tff(29239,plain,
% 8.78/6.72 (v193(constB20) <=> v191(constB19)),
% 8.78/6.72 inference(unit_resolution,[status(thm)],[29238, 2538, 70])).
% 8.78/6.72 tff(29240,plain,
% 8.78/6.72 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB19) <=> (v194(constB19) | v198(constB19)))),
% 8.78/6.72 inference(quant_inst,[status(thm)],[])).
% 8.78/6.72 tff(29241,plain,
% 8.78/6.72 (v191(constB19) <=> (v194(constB19) | v198(constB19))),
% 8.78/6.72 inference(unit_resolution,[status(thm)],[29240, 84])).
% 8.78/6.72 tff(29242,plain,
% 8.78/6.72 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB19) <=> (~((~v157(constB19)) | (~v195(constB19)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB19) <=> (~((~v157(constB19)) | (~v195(constB19))))))),
% 8.78/6.72 inference(rewrite,[status(thm)],[])).
% 8.78/6.72 tff(29243,plain,
% 8.78/6.72 ((v194(constB19) <=> (~((~v195(constB19)) | (~v157(constB19))))) <=> (v194(constB19) <=> (~((~v157(constB19)) | (~v195(constB19)))))),
% 8.78/6.72 inference(rewrite,[status(thm)],[])).
% 8.78/6.72 tff(29244,plain,
% 8.78/6.72 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB19) <=> (~((~v195(constB19)) | (~v157(constB19)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB19) <=> (~((~v157(constB19)) | (~v195(constB19))))))),
% 8.78/6.72 inference(monotonicity,[status(thm)],[29243])).
% 8.78/6.72 tff(29245,plain,
% 8.78/6.72 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB19) <=> (~((~v195(constB19)) | (~v157(constB19)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB19) <=> (~((~v157(constB19)) | (~v195(constB19))))))),
% 8.78/6.72 inference(transitivity,[status(thm)],[29244, 29242])).
% 8.78/6.72 tff(29246,plain,
% 8.78/6.72 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB19) <=> (~((~v195(constB19)) | (~v157(constB19)))))),
% 8.78/6.72 inference(quant_inst,[status(thm)],[])).
% 8.78/6.72 tff(29247,plain,
% 8.78/6.72 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB19) <=> (~((~v157(constB19)) | (~v195(constB19)))))),
% 8.78/6.72 inference(modus_ponens,[status(thm)],[29246, 29245])).
% 8.78/6.72 tff(29248,plain,
% 8.78/6.72 (v194(constB19) <=> (~((~v157(constB19)) | (~v195(constB19))))),
% 8.78/6.72 inference(unit_resolution,[status(thm)],[29247, 161])).
% 8.78/6.72 tff(29249,plain,
% 8.78/6.72 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB19)) <=> v196(constB19))),
% 8.78/6.72 inference(quant_inst,[status(thm)],[])).
% 8.78/6.72 tff(29250,plain,
% 8.78/6.72 ((~v195(constB19)) <=> v196(constB19)),
% 8.78/6.72 inference(unit_resolution,[status(thm)],[29249, 193])).
% 8.78/6.72 tff(29251,plain,
% 8.78/6.72 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB19) <=> (v197(constB19) | v26(constB19)))),
% 8.78/6.72 inference(quant_inst,[status(thm)],[])).
% 8.78/6.72 tff(29252,plain,
% 8.78/6.72 (v196(constB19) <=> (v197(constB19) | v26(constB19))),
% 8.78/6.72 inference(unit_resolution,[status(thm)],[29251, 202])).
% 8.78/6.72 tff(29253,plain,
% 8.78/6.72 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB19) <=> (~((~v39(constB19)) | (~v9(constB19)))))),
% 8.78/6.72 inference(quant_inst,[status(thm)],[])).
% 8.78/6.72 tff(29254,plain,
% 8.78/6.72 (v197(constB19) <=> (~((~v39(constB19)) | (~v9(constB19))))),
% 8.78/6.72 inference(unit_resolution,[status(thm)],[29253, 120])).
% 8.78/6.72 tff(29255,plain,
% 8.78/6.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB19, constB20)) | (v13(constB20) <=> v9(constB19)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB19, constB20)) | (v13(constB20) <=> v9(constB19)))),
% 8.78/6.72 inference(rewrite,[status(thm)],[])).
% 8.78/6.72 tff(29256,plain,
% 8.78/6.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB19, constB20)) | (v13(constB20) <=> v9(constB19)))),
% 8.78/6.73 inference(quant_inst,[status(thm)],[])).
% 8.78/6.73 tff(29257,plain,
% 8.78/6.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB19, constB20)) | (v13(constB20) <=> v9(constB19))),
% 8.78/6.73 inference(modus_ponens,[status(thm)],[29256, 29255])).
% 8.78/6.73 tff(29258,plain,
% 8.78/6.73 (v13(constB20) <=> v9(constB19)),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29257, 2538, 216])).
% 8.78/6.73 tff(29259,plain,
% 8.78/6.73 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB20) <=> v13(constB20))),
% 8.78/6.73 inference(quant_inst,[status(thm)],[])).
% 8.78/6.73 tff(29260,plain,
% 8.78/6.73 (v6(constB20) <=> v13(constB20)),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29259, 230])).
% 8.78/6.73 tff(29261,plain,
% 8.78/6.73 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB20)) <=> v6(constB20))),
% 8.78/6.73 inference(quant_inst,[status(thm)],[])).
% 8.78/6.73 tff(29262,plain,
% 8.78/6.73 ((~v21(constB20)) <=> v6(constB20)),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29261, 239])).
% 8.78/6.73 tff(29263,plain,
% 8.78/6.73 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB20) <=> (v20(constB20) | v21(constB20)))),
% 8.78/6.73 inference(quant_inst,[status(thm)],[])).
% 8.78/6.73 tff(29264,plain,
% 8.78/6.73 (v19(constB20) <=> (v20(constB20) | v21(constB20))),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29263, 248])).
% 8.78/6.73 tff(29265,plain,
% 8.78/6.73 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB20) <=> (~((~v19(constB20)) | (~v22(constB20)))))),
% 8.78/6.73 inference(quant_inst,[status(thm)],[])).
% 8.78/6.73 tff(29266,plain,
% 8.78/6.73 (v18(constB20) <=> (~((~v19(constB20)) | (~v22(constB20))))),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29265, 260])).
% 8.78/6.73 tff(29267,plain,
% 8.78/6.73 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB20)) <=> v18(constB20))),
% 8.78/6.73 inference(quant_inst,[status(thm)],[])).
% 8.78/6.73 tff(29268,plain,
% 8.78/6.73 ((~v4(constB20)) <=> v18(constB20)),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29267, 269])).
% 8.78/6.73 tff(29269,plain,
% 8.78/6.73 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB20)),
% 8.78/6.73 inference(quant_inst,[status(thm)],[])).
% 8.78/6.73 tff(29270,plain,
% 8.78/6.73 (v4(constB20)),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29269, 278])).
% 8.78/6.73 tff(29271,plain,
% 8.78/6.73 ((~((~v4(constB20)) <=> v18(constB20))) | (~v4(constB20)) | (~v18(constB20))),
% 8.78/6.73 inference(tautology,[status(thm)],[])).
% 8.78/6.73 tff(29272,plain,
% 8.78/6.73 (~v18(constB20)),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29271, 29270, 29268])).
% 8.78/6.73 tff(29273,plain,
% 8.78/6.73 ((~(v18(constB20) <=> (~((~v19(constB20)) | (~v22(constB20)))))) | v18(constB20) | ((~v19(constB20)) | (~v22(constB20)))),
% 8.78/6.73 inference(tautology,[status(thm)],[])).
% 8.78/6.73 tff(29274,plain,
% 8.78/6.73 ((~v19(constB20)) | (~v22(constB20))),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29273, 29272, 29266])).
% 8.78/6.73 tff(29275,plain,
% 8.78/6.73 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB20) <=> (v1(constB20) | v6(constB20)))),
% 8.78/6.73 inference(quant_inst,[status(thm)],[])).
% 8.78/6.73 tff(29276,plain,
% 8.78/6.73 (v22(constB20) <=> (v1(constB20) | v6(constB20))),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29275, 291])).
% 8.78/6.73 tff(29277,plain,
% 8.78/6.73 ((v1(constB20) | v6(constB20)) | (~v1(constB20))),
% 8.78/6.73 inference(tautology,[status(thm)],[])).
% 8.78/6.73 tff(29278,plain,
% 8.78/6.73 (v1(constB20) | v6(constB20)),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29277, 4907])).
% 8.78/6.73 tff(29279,plain,
% 8.78/6.73 ((~(v22(constB20) <=> (v1(constB20) | v6(constB20)))) | v22(constB20) | (~(v1(constB20) | v6(constB20)))),
% 8.78/6.73 inference(tautology,[status(thm)],[])).
% 8.78/6.73 tff(29280,plain,
% 8.78/6.73 ((~(v22(constB20) <=> (v1(constB20) | v6(constB20)))) | v22(constB20)),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29279, 29278])).
% 8.78/6.73 tff(29281,plain,
% 8.78/6.73 (v22(constB20)),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29280, 29276])).
% 8.78/6.73 tff(29282,plain,
% 8.78/6.73 ((~((~v19(constB20)) | (~v22(constB20)))) | (~v19(constB20)) | (~v22(constB20))),
% 8.78/6.73 inference(tautology,[status(thm)],[])).
% 8.78/6.73 tff(29283,plain,
% 8.78/6.73 ((~((~v19(constB20)) | (~v22(constB20)))) | (~v19(constB20))),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29282, 29281])).
% 8.78/6.73 tff(29284,plain,
% 8.78/6.73 (~v19(constB20)),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29283, 29274])).
% 8.78/6.73 tff(29285,plain,
% 8.78/6.73 ((~(v19(constB20) <=> (v20(constB20) | v21(constB20)))) | v19(constB20) | (~(v20(constB20) | v21(constB20)))),
% 8.78/6.73 inference(tautology,[status(thm)],[])).
% 8.78/6.73 tff(29286,plain,
% 8.78/6.73 (~(v20(constB20) | v21(constB20))),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29285, 29284, 29264])).
% 8.78/6.73 tff(29287,plain,
% 8.78/6.73 ((v20(constB20) | v21(constB20)) | (~v21(constB20))),
% 8.78/6.73 inference(tautology,[status(thm)],[])).
% 8.78/6.73 tff(29288,plain,
% 8.78/6.73 (~v21(constB20)),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29287, 29286])).
% 8.78/6.73 tff(29289,plain,
% 8.78/6.73 ((~((~v21(constB20)) <=> v6(constB20))) | v21(constB20) | v6(constB20)),
% 8.78/6.73 inference(tautology,[status(thm)],[])).
% 8.78/6.73 tff(29290,plain,
% 8.78/6.73 (v6(constB20)),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29289, 29288, 29262])).
% 8.78/6.73 tff(29291,plain,
% 8.78/6.73 ((~(v6(constB20) <=> v13(constB20))) | (~v6(constB20)) | v13(constB20)),
% 8.78/6.73 inference(tautology,[status(thm)],[])).
% 8.78/6.73 tff(29292,plain,
% 8.78/6.73 (v13(constB20)),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29291, 29290, 29260])).
% 8.78/6.73 tff(29293,plain,
% 8.78/6.73 ((~(v13(constB20) <=> v9(constB19))) | (~v13(constB20)) | v9(constB19)),
% 8.78/6.73 inference(tautology,[status(thm)],[])).
% 8.78/6.73 tff(29294,plain,
% 8.78/6.73 (v9(constB19)),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29293, 29292, 29258])).
% 8.78/6.73 tff(29295,plain,
% 8.78/6.73 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB19)) <=> v1(constB19))),
% 8.78/6.73 inference(quant_inst,[status(thm)],[])).
% 8.78/6.73 tff(29296,plain,
% 8.78/6.73 ((~v39(constB19)) <=> v1(constB19)),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29295, 129])).
% 8.78/6.73 tff(29297,plain,
% 8.78/6.73 ((~((~v39(constB19)) <=> v1(constB19))) | v39(constB19) | v1(constB19)),
% 8.78/6.73 inference(tautology,[status(thm)],[])).
% 8.78/6.73 tff(29298,plain,
% 8.78/6.73 ((~((~v39(constB19)) <=> v1(constB19))) | v39(constB19)),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29297, 2582])).
% 8.78/6.73 tff(29299,plain,
% 8.78/6.73 (v39(constB19)),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29298, 29296])).
% 8.78/6.73 tff(29300,plain,
% 8.78/6.73 ((~((~v39(constB19)) | (~v9(constB19)))) | (~v39(constB19)) | (~v9(constB19))),
% 8.78/6.73 inference(tautology,[status(thm)],[])).
% 8.78/6.73 tff(29301,plain,
% 8.78/6.73 ((~((~v39(constB19)) | (~v9(constB19)))) | (~v9(constB19))),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29300, 29299])).
% 8.78/6.73 tff(29302,plain,
% 8.78/6.73 (~((~v39(constB19)) | (~v9(constB19)))),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29301, 29294])).
% 8.78/6.73 tff(29303,plain,
% 8.78/6.73 ((~(v197(constB19) <=> (~((~v39(constB19)) | (~v9(constB19)))))) | v197(constB19) | ((~v39(constB19)) | (~v9(constB19)))),
% 8.78/6.73 inference(tautology,[status(thm)],[])).
% 8.78/6.73 tff(29304,plain,
% 8.78/6.73 (v197(constB19)),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29303, 29302, 29254])).
% 8.78/6.73 tff(29305,plain,
% 8.78/6.73 ((v197(constB19) | v26(constB19)) | (~v197(constB19))),
% 8.78/6.73 inference(tautology,[status(thm)],[])).
% 8.78/6.73 tff(29306,plain,
% 8.78/6.73 (v197(constB19) | v26(constB19)),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29305, 29304])).
% 8.78/6.73 tff(29307,plain,
% 8.78/6.73 ((~(v196(constB19) <=> (v197(constB19) | v26(constB19)))) | v196(constB19) | (~(v197(constB19) | v26(constB19)))),
% 8.78/6.73 inference(tautology,[status(thm)],[])).
% 8.78/6.73 tff(29308,plain,
% 8.78/6.73 (v196(constB19)),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29307, 29306, 29252])).
% 8.78/6.73 tff(29309,plain,
% 8.78/6.73 ((~((~v195(constB19)) <=> v196(constB19))) | (~v195(constB19)) | (~v196(constB19))),
% 8.78/6.73 inference(tautology,[status(thm)],[])).
% 8.78/6.73 tff(29310,plain,
% 8.78/6.73 (~v195(constB19)),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29309, 29308, 29250])).
% 8.78/6.73 tff(29311,plain,
% 8.78/6.73 (((~v157(constB19)) | (~v195(constB19))) | v195(constB19)),
% 8.78/6.73 inference(tautology,[status(thm)],[])).
% 8.78/6.73 tff(29312,plain,
% 8.78/6.73 ((~v157(constB19)) | (~v195(constB19))),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29311, 29310])).
% 8.78/6.73 tff(29313,plain,
% 8.78/6.73 ((~(v194(constB19) <=> (~((~v157(constB19)) | (~v195(constB19)))))) | (~v194(constB19)) | (~((~v157(constB19)) | (~v195(constB19))))),
% 8.78/6.73 inference(tautology,[status(thm)],[])).
% 8.78/6.73 tff(29314,plain,
% 8.78/6.73 (~v194(constB19)),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29313, 29312, 29248])).
% 8.78/6.73 tff(29315,plain,
% 8.78/6.73 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB19) <=> (~((~v199(constB19)) | (~v200(constB19)))))),
% 8.78/6.73 inference(quant_inst,[status(thm)],[])).
% 8.78/6.73 tff(29316,plain,
% 8.78/6.73 (v198(constB19) <=> (~((~v199(constB19)) | (~v200(constB19))))),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29315, 96])).
% 8.78/6.73 tff(29317,plain,
% 8.78/6.73 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB19) <=> (~((~v197(constB19)) | (~v201(constB19)))))),
% 8.78/6.73 inference(quant_inst,[status(thm)],[])).
% 8.78/6.73 tff(29318,plain,
% 8.78/6.73 (v200(constB19) <=> (~((~v197(constB19)) | (~v201(constB19))))),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29317, 108])).
% 8.78/6.73 tff(29319,plain,
% 8.78/6.73 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB19) <=> (~((~v159(constB19)) | (~v161(constB19)))))),
% 8.78/6.73 inference(quant_inst,[status(thm)],[])).
% 8.78/6.73 tff(29320,plain,
% 8.78/6.73 (v201(constB19) <=> (~((~v159(constB19)) | (~v161(constB19))))),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29319, 348])).
% 8.78/6.73 tff(29321,plain,
% 8.78/6.73 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB19) <=> v163(constB19))),
% 8.78/6.73 inference(quant_inst,[status(thm)],[])).
% 8.78/6.73 tff(29322,plain,
% 8.78/6.73 (v161(constB19) <=> v163(constB19)),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29321, 357])).
% 8.78/6.73 tff(29323,plain,
% 8.78/6.73 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB19) <=> (v145(constB19) | v167(constB19)))),
% 8.78/6.73 inference(quant_inst,[status(thm)],[])).
% 8.78/6.73 tff(29324,plain,
% 8.78/6.73 (v166(constB19) <=> (v145(constB19) | v167(constB19))),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29323, 369])).
% 8.78/6.73 tff(29325,plain,
% 8.78/6.73 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB19) <=> (v142(constB19) | v168(constB19)))),
% 8.78/6.73 inference(quant_inst,[status(thm)],[])).
% 8.78/6.73 tff(29326,plain,
% 8.78/6.73 (v167(constB19) <=> (v142(constB19) | v168(constB19))),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29325, 381])).
% 8.78/6.73 tff(29327,plain,
% 8.78/6.73 ((v142(constB19) | v168(constB19)) | (~v142(constB19))),
% 8.78/6.73 inference(tautology,[status(thm)],[])).
% 8.78/6.73 tff(29328,plain,
% 8.78/6.73 (v142(constB19) | v168(constB19)),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29327, 25062])).
% 8.78/6.73 tff(29329,plain,
% 8.78/6.73 ((~(v167(constB19) <=> (v142(constB19) | v168(constB19)))) | v167(constB19) | (~(v142(constB19) | v168(constB19)))),
% 8.78/6.73 inference(tautology,[status(thm)],[])).
% 8.78/6.73 tff(29330,plain,
% 8.78/6.73 ((~(v167(constB19) <=> (v142(constB19) | v168(constB19)))) | v167(constB19)),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29329, 29328])).
% 8.78/6.73 tff(29331,plain,
% 8.78/6.73 (v167(constB19)),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29330, 29326])).
% 8.78/6.73 tff(29332,plain,
% 8.78/6.73 ((v145(constB19) | v167(constB19)) | (~v167(constB19))),
% 8.78/6.73 inference(tautology,[status(thm)],[])).
% 8.78/6.73 tff(29333,plain,
% 8.78/6.73 (v145(constB19) | v167(constB19)),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29332, 29331])).
% 8.78/6.73 tff(29334,plain,
% 8.78/6.73 ((~(v166(constB19) <=> (v145(constB19) | v167(constB19)))) | v166(constB19) | (~(v145(constB19) | v167(constB19)))),
% 8.78/6.73 inference(tautology,[status(thm)],[])).
% 8.78/6.73 tff(29335,plain,
% 8.78/6.73 (v166(constB19)),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29334, 29333, 29324])).
% 8.78/6.73 tff(29336,plain,
% 8.78/6.73 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB19)) | (v163(constB19) <=> v170(constB19)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB19)) | (v163(constB19) <=> v170(constB19)))),
% 8.78/6.73 inference(rewrite,[status(thm)],[])).
% 8.78/6.73 tff(29337,plain,
% 8.78/6.73 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB19)) | (v163(constB19) <=> v170(constB19)))),
% 8.78/6.73 inference(quant_inst,[status(thm)],[])).
% 8.78/6.73 tff(29338,plain,
% 8.78/6.73 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB19)) | (v163(constB19) <=> v170(constB19))),
% 8.78/6.73 inference(modus_ponens,[status(thm)],[29337, 29336])).
% 8.78/6.73 tff(29339,plain,
% 8.78/6.73 ((~v166(constB19)) | (v163(constB19) <=> v170(constB19))),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29338, 9851])).
% 8.78/6.73 tff(29340,plain,
% 8.78/6.73 (v163(constB19) <=> v170(constB19)),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29339, 29335])).
% 8.78/6.73 tff(29341,plain,
% 8.78/6.73 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB19) <=> (v142(constB19) | v150(constB19)))),
% 8.78/6.73 inference(quant_inst,[status(thm)],[])).
% 8.78/6.73 tff(29342,plain,
% 8.78/6.73 (v171(constB19) <=> (v142(constB19) | v150(constB19))),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29341, 9866])).
% 8.78/6.73 tff(29343,plain,
% 8.78/6.73 ((v142(constB19) | v150(constB19)) | (~v142(constB19))),
% 8.78/6.73 inference(tautology,[status(thm)],[])).
% 8.78/6.73 tff(29344,plain,
% 8.78/6.73 (v142(constB19) | v150(constB19)),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29343, 25062])).
% 8.78/6.73 tff(29345,plain,
% 8.78/6.73 ((~(v171(constB19) <=> (v142(constB19) | v150(constB19)))) | v171(constB19) | (~(v142(constB19) | v150(constB19)))),
% 8.78/6.73 inference(tautology,[status(thm)],[])).
% 8.78/6.73 tff(29346,plain,
% 8.78/6.73 ((~(v171(constB19) <=> (v142(constB19) | v150(constB19)))) | v171(constB19)),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29345, 29344])).
% 8.78/6.73 tff(29347,plain,
% 8.78/6.73 (v171(constB19)),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29346, 29342])).
% 8.78/6.73 tff(29348,plain,
% 8.78/6.73 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB19)) | (~v171(constB19)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB19)) | (~v171(constB19)))),
% 8.78/6.73 inference(rewrite,[status(thm)],[])).
% 8.78/6.73 tff(29349,plain,
% 8.78/6.73 (((~v171(constB19)) | (~v170(constB19))) <=> ((~v170(constB19)) | (~v171(constB19)))),
% 8.78/6.73 inference(rewrite,[status(thm)],[])).
% 8.78/6.73 tff(29350,plain,
% 8.78/6.73 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB19)) | (~v170(constB19)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB19)) | (~v171(constB19))))),
% 8.78/6.73 inference(monotonicity,[status(thm)],[29349])).
% 8.78/6.73 tff(29351,plain,
% 8.78/6.73 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB19)) | (~v170(constB19)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB19)) | (~v171(constB19)))),
% 8.78/6.73 inference(transitivity,[status(thm)],[29350, 29348])).
% 8.78/6.73 tff(29352,plain,
% 8.78/6.73 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB19)) | (~v170(constB19)))),
% 8.78/6.73 inference(quant_inst,[status(thm)],[])).
% 8.78/6.73 tff(29353,plain,
% 8.78/6.73 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB19)) | (~v171(constB19))),
% 8.78/6.73 inference(modus_ponens,[status(thm)],[29352, 29351])).
% 8.78/6.73 tff(29354,plain,
% 8.78/6.73 (~v170(constB19)),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29353, 9899, 29347])).
% 8.78/6.73 tff(29355,plain,
% 8.78/6.73 ((~(v163(constB19) <=> v170(constB19))) | (~v163(constB19)) | v170(constB19)),
% 8.78/6.73 inference(tautology,[status(thm)],[])).
% 8.78/6.73 tff(29356,plain,
% 8.78/6.73 (~v163(constB19)),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29355, 29354, 29340])).
% 8.78/6.73 tff(29357,plain,
% 8.78/6.73 ((~(v161(constB19) <=> v163(constB19))) | (~v161(constB19)) | v163(constB19)),
% 8.78/6.73 inference(tautology,[status(thm)],[])).
% 8.78/6.73 tff(29358,plain,
% 8.78/6.73 (~v161(constB19)),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29357, 29356, 29322])).
% 8.78/6.73 tff(29359,plain,
% 8.78/6.73 (((~v159(constB19)) | (~v161(constB19))) | v161(constB19)),
% 8.78/6.73 inference(tautology,[status(thm)],[])).
% 8.78/6.73 tff(29360,plain,
% 8.78/6.73 ((~v159(constB19)) | (~v161(constB19))),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29359, 29358])).
% 8.78/6.73 tff(29361,plain,
% 8.78/6.73 ((~(v201(constB19) <=> (~((~v159(constB19)) | (~v161(constB19)))))) | (~v201(constB19)) | (~((~v159(constB19)) | (~v161(constB19))))),
% 8.78/6.73 inference(tautology,[status(thm)],[])).
% 8.78/6.73 tff(29362,plain,
% 8.78/6.73 (~v201(constB19)),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29361, 29360, 29320])).
% 8.78/6.73 tff(29363,plain,
% 8.78/6.73 (((~v197(constB19)) | (~v201(constB19))) | v201(constB19)),
% 8.78/6.73 inference(tautology,[status(thm)],[])).
% 8.78/6.73 tff(29364,plain,
% 8.78/6.73 ((~v197(constB19)) | (~v201(constB19))),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29363, 29362])).
% 8.78/6.73 tff(29365,plain,
% 8.78/6.73 ((~(v200(constB19) <=> (~((~v197(constB19)) | (~v201(constB19)))))) | (~v200(constB19)) | (~((~v197(constB19)) | (~v201(constB19))))),
% 8.78/6.73 inference(tautology,[status(thm)],[])).
% 8.78/6.73 tff(29366,plain,
% 8.78/6.73 (~v200(constB19)),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29365, 29364, 29318])).
% 8.78/6.73 tff(29367,plain,
% 8.78/6.73 (((~v199(constB19)) | (~v200(constB19))) | v200(constB19)),
% 8.78/6.73 inference(tautology,[status(thm)],[])).
% 8.78/6.73 tff(29368,plain,
% 8.78/6.73 ((~v199(constB19)) | (~v200(constB19))),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29367, 29366])).
% 8.78/6.73 tff(29369,plain,
% 8.78/6.73 ((~(v198(constB19) <=> (~((~v199(constB19)) | (~v200(constB19)))))) | (~v198(constB19)) | (~((~v199(constB19)) | (~v200(constB19))))),
% 8.78/6.73 inference(tautology,[status(thm)],[])).
% 8.78/6.73 tff(29370,plain,
% 8.78/6.73 (~v198(constB19)),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29369, 29368, 29316])).
% 8.78/6.73 tff(29371,plain,
% 8.78/6.73 ((~(v194(constB19) | v198(constB19))) | v194(constB19) | v198(constB19)),
% 8.78/6.73 inference(tautology,[status(thm)],[])).
% 8.78/6.73 tff(29372,plain,
% 8.78/6.73 (~(v194(constB19) | v198(constB19))),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29371, 29370, 29314])).
% 8.78/6.73 tff(29373,plain,
% 8.78/6.73 ((~(v191(constB19) <=> (v194(constB19) | v198(constB19)))) | (~v191(constB19)) | (v194(constB19) | v198(constB19))),
% 8.78/6.73 inference(tautology,[status(thm)],[])).
% 8.78/6.73 tff(29374,plain,
% 8.78/6.73 (~v191(constB19)),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29373, 29372, 29241])).
% 8.78/6.73 tff(29375,plain,
% 8.78/6.73 ((~(v193(constB20) <=> v191(constB19))) | (~v193(constB20)) | v191(constB19)),
% 8.78/6.73 inference(tautology,[status(thm)],[])).
% 8.78/6.73 tff(29376,plain,
% 8.78/6.73 (~v193(constB20)),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29375, 29374, 29239])).
% 8.78/6.73 tff(29377,plain,
% 8.78/6.73 ((~(v157(constB20) <=> v193(constB20))) | (~v157(constB20)) | v193(constB20)),
% 8.78/6.73 inference(tautology,[status(thm)],[])).
% 8.78/6.73 tff(29378,plain,
% 8.78/6.73 (~v157(constB20)),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29377, 29376, 29235])).
% 8.78/6.73 tff(29379,plain,
% 8.78/6.73 (((~v157(constB20)) | (~v195(constB20))) | v157(constB20)),
% 8.78/6.73 inference(tautology,[status(thm)],[])).
% 8.78/6.73 tff(29380,plain,
% 8.78/6.73 ((~v157(constB20)) | (~v195(constB20))),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29379, 29378])).
% 8.78/6.73 tff(29381,plain,
% 8.78/6.73 ((~(v194(constB20) <=> (~((~v157(constB20)) | (~v195(constB20)))))) | (~v194(constB20)) | (~((~v157(constB20)) | (~v195(constB20))))),
% 8.78/6.73 inference(tautology,[status(thm)],[])).
% 8.78/6.73 tff(29382,plain,
% 8.78/6.73 (~v194(constB20)),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29381, 29380, 29233])).
% 8.78/6.73 tff(29383,plain,
% 8.78/6.73 ((~(v194(constB20) | v198(constB20))) | v194(constB20) | v198(constB20)),
% 8.78/6.73 inference(tautology,[status(thm)],[])).
% 8.78/6.73 tff(29384,plain,
% 8.78/6.73 (~(v194(constB20) | v198(constB20))),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29383, 29382, 29226])).
% 8.78/6.73 tff(29385,plain,
% 8.78/6.73 ((~(v191(constB20) <=> (v194(constB20) | v198(constB20)))) | (~v191(constB20)) | (v194(constB20) | v198(constB20))),
% 8.78/6.73 inference(tautology,[status(thm)],[])).
% 8.78/6.73 tff(29386,plain,
% 8.78/6.73 (~v191(constB20)),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29385, 29384, 29201])).
% 8.78/6.73 tff(29387,plain,
% 8.78/6.73 ((~(v193(constB21) <=> v191(constB20))) | (~v193(constB21)) | v191(constB20)),
% 8.78/6.73 inference(tautology,[status(thm)],[])).
% 8.78/6.73 tff(29388,plain,
% 8.78/6.73 (~v193(constB21)),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29387, 29386, 29199])).
% 8.78/6.73 tff(29389,plain,
% 8.78/6.73 ($false),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29388, 29195])).
% 8.78/6.73 tff(29390,plain,(~(constB21 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.78/6.73 tff(29391,assumption,(constB157 = VarCurr!0), introduced(assumption)).
% 8.78/6.73 tff(29392,plain,
% 8.78/6.73 (v193(constB157) <=> v193(VarCurr!0)),
% 8.78/6.73 inference(monotonicity,[status(thm)],[29391])).
% 8.78/6.73 tff(29393,plain,
% 8.78/6.73 (v193(VarCurr!0) <=> v193(constB157)),
% 8.78/6.73 inference(symmetry,[status(thm)],[29392])).
% 8.78/6.73 tff(29394,plain,
% 8.78/6.73 (v193(constB157)),
% 8.78/6.73 inference(modus_ponens,[status(thm)],[59, 29393])).
% 8.78/6.73 tff(29395,plain,
% 8.78/6.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB156, constB157)) | (v193(constB157) <=> v191(constB156)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB156, constB157)) | (v193(constB157) <=> v191(constB156)))),
% 8.78/6.73 inference(rewrite,[status(thm)],[])).
% 8.78/6.73 tff(29396,plain,
% 8.78/6.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB156, constB157)) | (v193(constB157) <=> v191(constB156)))),
% 8.78/6.73 inference(quant_inst,[status(thm)],[])).
% 8.78/6.73 tff(29397,plain,
% 8.78/6.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB156, constB157)) | (v193(constB157) <=> v191(constB156))),
% 8.78/6.73 inference(modus_ponens,[status(thm)],[29396, 29395])).
% 8.78/6.73 tff(29398,plain,
% 8.78/6.73 (v193(constB157) <=> v191(constB156)),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29397, 16220, 70])).
% 8.78/6.73 tff(29399,plain,
% 8.78/6.73 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB156) <=> (v194(constB156) | v198(constB156)))),
% 8.78/6.73 inference(quant_inst,[status(thm)],[])).
% 8.78/6.73 tff(29400,plain,
% 8.78/6.73 (v191(constB156) <=> (v194(constB156) | v198(constB156))),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29399, 84])).
% 8.78/6.73 tff(29401,plain,
% 8.78/6.73 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB156) <=> (~((~v199(constB156)) | (~v200(constB156)))))),
% 8.78/6.73 inference(quant_inst,[status(thm)],[])).
% 8.78/6.73 tff(29402,plain,
% 8.78/6.73 (v198(constB156) <=> (~((~v199(constB156)) | (~v200(constB156))))),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29401, 96])).
% 8.78/6.73 tff(29403,plain,
% 8.78/6.73 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB156) <=> (~((~v197(constB156)) | (~v201(constB156)))))),
% 8.78/6.73 inference(quant_inst,[status(thm)],[])).
% 8.78/6.73 tff(29404,plain,
% 8.78/6.73 (v200(constB156) <=> (~((~v197(constB156)) | (~v201(constB156))))),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29403, 108])).
% 8.78/6.73 tff(29405,plain,
% 8.78/6.73 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB156) <=> (~((~v39(constB156)) | (~v9(constB156)))))),
% 8.78/6.73 inference(quant_inst,[status(thm)],[])).
% 8.78/6.73 tff(29406,plain,
% 8.78/6.73 (v197(constB156) <=> (~((~v39(constB156)) | (~v9(constB156))))),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29405, 120])).
% 8.78/6.73 tff(29407,plain,
% 8.78/6.73 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB156)) <=> v1(constB156))),
% 8.78/6.73 inference(quant_inst,[status(thm)],[])).
% 8.78/6.73 tff(29408,plain,
% 8.78/6.73 ((~v39(constB156)) <=> v1(constB156)),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29407, 129])).
% 8.78/6.73 tff(29409,plain,
% 8.78/6.73 ((~((~v39(constB156)) <=> v1(constB156))) | (~v39(constB156)) | (~v1(constB156))),
% 8.78/6.73 inference(tautology,[status(thm)],[])).
% 8.78/6.73 tff(29410,plain,
% 8.78/6.73 ((~((~v39(constB156)) <=> v1(constB156))) | (~v39(constB156))),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29409, 20845])).
% 8.78/6.73 tff(29411,plain,
% 8.78/6.73 (~v39(constB156)),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29410, 29408])).
% 8.78/6.73 tff(29412,plain,
% 8.78/6.73 (((~v39(constB156)) | (~v9(constB156))) | v39(constB156)),
% 8.78/6.73 inference(tautology,[status(thm)],[])).
% 8.78/6.73 tff(29413,plain,
% 8.78/6.73 ((~v39(constB156)) | (~v9(constB156))),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29412, 29411])).
% 8.78/6.73 tff(29414,plain,
% 8.78/6.73 ((~(v197(constB156) <=> (~((~v39(constB156)) | (~v9(constB156)))))) | (~v197(constB156)) | (~((~v39(constB156)) | (~v9(constB156))))),
% 8.78/6.73 inference(tautology,[status(thm)],[])).
% 8.78/6.73 tff(29415,plain,
% 8.78/6.73 ((~(v197(constB156) <=> (~((~v39(constB156)) | (~v9(constB156)))))) | (~v197(constB156))),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29414, 29413])).
% 8.78/6.73 tff(29416,plain,
% 8.78/6.73 (~v197(constB156)),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29415, 29406])).
% 8.78/6.73 tff(29417,plain,
% 8.78/6.73 (((~v197(constB156)) | (~v201(constB156))) | v197(constB156)),
% 8.78/6.73 inference(tautology,[status(thm)],[])).
% 8.78/6.73 tff(29418,plain,
% 8.78/6.73 ((~v197(constB156)) | (~v201(constB156))),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29417, 29416])).
% 8.78/6.73 tff(29419,plain,
% 8.78/6.73 ((~(v200(constB156) <=> (~((~v197(constB156)) | (~v201(constB156)))))) | (~v200(constB156)) | (~((~v197(constB156)) | (~v201(constB156))))),
% 8.78/6.73 inference(tautology,[status(thm)],[])).
% 8.78/6.73 tff(29420,plain,
% 8.78/6.73 ((~(v200(constB156) <=> (~((~v197(constB156)) | (~v201(constB156)))))) | (~v200(constB156))),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29419, 29418])).
% 8.78/6.73 tff(29421,plain,
% 8.78/6.73 (~v200(constB156)),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29420, 29404])).
% 8.78/6.73 tff(29422,plain,
% 8.78/6.73 (((~v199(constB156)) | (~v200(constB156))) | v200(constB156)),
% 8.78/6.73 inference(tautology,[status(thm)],[])).
% 8.78/6.73 tff(29423,plain,
% 8.78/6.73 ((~v199(constB156)) | (~v200(constB156))),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29422, 29421])).
% 8.78/6.73 tff(29424,plain,
% 8.78/6.73 ((~(v198(constB156) <=> (~((~v199(constB156)) | (~v200(constB156)))))) | (~v198(constB156)) | (~((~v199(constB156)) | (~v200(constB156))))),
% 8.78/6.73 inference(tautology,[status(thm)],[])).
% 8.78/6.73 tff(29425,plain,
% 8.78/6.73 (~v198(constB156)),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29424, 29423, 29402])).
% 8.78/6.73 tff(29426,plain,
% 8.78/6.73 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB156) <=> (~((~v157(constB156)) | (~v195(constB156)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB156) <=> (~((~v157(constB156)) | (~v195(constB156))))))),
% 8.78/6.73 inference(rewrite,[status(thm)],[])).
% 8.78/6.73 tff(29427,plain,
% 8.78/6.73 ((v194(constB156) <=> (~((~v195(constB156)) | (~v157(constB156))))) <=> (v194(constB156) <=> (~((~v157(constB156)) | (~v195(constB156)))))),
% 8.78/6.73 inference(rewrite,[status(thm)],[])).
% 8.78/6.73 tff(29428,plain,
% 8.78/6.73 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB156) <=> (~((~v195(constB156)) | (~v157(constB156)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB156) <=> (~((~v157(constB156)) | (~v195(constB156))))))),
% 8.78/6.73 inference(monotonicity,[status(thm)],[29427])).
% 8.78/6.73 tff(29429,plain,
% 8.78/6.73 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB156) <=> (~((~v195(constB156)) | (~v157(constB156)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB156) <=> (~((~v157(constB156)) | (~v195(constB156))))))),
% 8.78/6.73 inference(transitivity,[status(thm)],[29428, 29426])).
% 8.78/6.73 tff(29430,plain,
% 8.78/6.73 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB156) <=> (~((~v195(constB156)) | (~v157(constB156)))))),
% 8.78/6.73 inference(quant_inst,[status(thm)],[])).
% 8.78/6.73 tff(29431,plain,
% 8.78/6.73 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB156) <=> (~((~v157(constB156)) | (~v195(constB156)))))),
% 8.78/6.73 inference(modus_ponens,[status(thm)],[29430, 29429])).
% 8.78/6.73 tff(29432,plain,
% 8.78/6.73 (v194(constB156) <=> (~((~v157(constB156)) | (~v195(constB156))))),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29431, 161])).
% 8.78/6.73 tff(29433,plain,
% 8.78/6.73 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB156) <=> v193(constB156))),
% 8.78/6.73 inference(quant_inst,[status(thm)],[])).
% 8.78/6.73 tff(29434,plain,
% 8.78/6.73 (v157(constB156) <=> v193(constB156)),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29433, 13])).
% 8.78/6.73 tff(29435,plain,
% 8.78/6.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB155, constB156)) | (v193(constB156) <=> v191(constB155)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB155, constB156)) | (v193(constB156) <=> v191(constB155)))),
% 8.78/6.73 inference(rewrite,[status(thm)],[])).
% 8.78/6.73 tff(29436,plain,
% 8.78/6.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB155, constB156)) | (v193(constB156) <=> v191(constB155)))),
% 8.78/6.73 inference(quant_inst,[status(thm)],[])).
% 8.78/6.73 tff(29437,plain,
% 8.78/6.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB155, constB156)) | (v193(constB156) <=> v191(constB155))),
% 8.78/6.73 inference(modus_ponens,[status(thm)],[29436, 29435])).
% 8.78/6.73 tff(29438,plain,
% 8.78/6.73 (v193(constB156) <=> v191(constB155)),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29437, 16256, 70])).
% 8.78/6.73 tff(29439,plain,
% 8.78/6.73 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB155) <=> (v194(constB155) | v198(constB155)))),
% 8.78/6.73 inference(quant_inst,[status(thm)],[])).
% 8.78/6.73 tff(29440,plain,
% 8.78/6.73 (v191(constB155) <=> (v194(constB155) | v198(constB155))),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29439, 84])).
% 8.78/6.73 tff(29441,plain,
% 8.78/6.73 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB155) <=> (~((~v157(constB155)) | (~v195(constB155)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB155) <=> (~((~v157(constB155)) | (~v195(constB155))))))),
% 8.78/6.73 inference(rewrite,[status(thm)],[])).
% 8.78/6.73 tff(29442,plain,
% 8.78/6.73 ((v194(constB155) <=> (~((~v195(constB155)) | (~v157(constB155))))) <=> (v194(constB155) <=> (~((~v157(constB155)) | (~v195(constB155)))))),
% 8.78/6.73 inference(rewrite,[status(thm)],[])).
% 8.78/6.73 tff(29443,plain,
% 8.78/6.73 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB155) <=> (~((~v195(constB155)) | (~v157(constB155)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB155) <=> (~((~v157(constB155)) | (~v195(constB155))))))),
% 8.78/6.73 inference(monotonicity,[status(thm)],[29442])).
% 8.78/6.73 tff(29444,plain,
% 8.78/6.73 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB155) <=> (~((~v195(constB155)) | (~v157(constB155)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB155) <=> (~((~v157(constB155)) | (~v195(constB155))))))),
% 8.78/6.73 inference(transitivity,[status(thm)],[29443, 29441])).
% 8.78/6.73 tff(29445,plain,
% 8.78/6.73 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB155) <=> (~((~v195(constB155)) | (~v157(constB155)))))),
% 8.78/6.73 inference(quant_inst,[status(thm)],[])).
% 8.78/6.73 tff(29446,plain,
% 8.78/6.73 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB155) <=> (~((~v157(constB155)) | (~v195(constB155)))))),
% 8.78/6.73 inference(modus_ponens,[status(thm)],[29445, 29444])).
% 8.78/6.73 tff(29447,plain,
% 8.78/6.73 (v194(constB155) <=> (~((~v157(constB155)) | (~v195(constB155))))),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29446, 161])).
% 8.78/6.73 tff(29448,plain,
% 8.78/6.73 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB155)) <=> v196(constB155))),
% 8.78/6.73 inference(quant_inst,[status(thm)],[])).
% 8.78/6.73 tff(29449,plain,
% 8.78/6.73 ((~v195(constB155)) <=> v196(constB155)),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29448, 193])).
% 8.78/6.73 tff(29450,plain,
% 8.78/6.73 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB155) <=> (v197(constB155) | v26(constB155)))),
% 8.78/6.73 inference(quant_inst,[status(thm)],[])).
% 8.78/6.73 tff(29451,plain,
% 8.78/6.73 (v196(constB155) <=> (v197(constB155) | v26(constB155))),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29450, 202])).
% 8.78/6.73 tff(29452,plain,
% 8.78/6.73 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB155) <=> (~((~v39(constB155)) | (~v9(constB155)))))),
% 8.78/6.73 inference(quant_inst,[status(thm)],[])).
% 8.78/6.73 tff(29453,plain,
% 8.78/6.73 (v197(constB155) <=> (~((~v39(constB155)) | (~v9(constB155))))),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29452, 120])).
% 8.78/6.73 tff(29454,plain,
% 8.78/6.73 (((~![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)))),
% 8.78/6.73 inference(rewrite,[status(thm)],[])).
% 8.78/6.73 tff(29455,plain,
% 8.78/6.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB155, constB156)) | (v13(constB156) <=> v9(constB155)))),
% 8.78/6.73 inference(quant_inst,[status(thm)],[])).
% 8.78/6.73 tff(29456,plain,
% 8.78/6.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB155, constB156)) | (v13(constB156) <=> v9(constB155))),
% 8.78/6.73 inference(modus_ponens,[status(thm)],[29455, 29454])).
% 8.78/6.73 tff(29457,plain,
% 8.78/6.73 (v13(constB156) <=> v9(constB155)),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29456, 16256, 216])).
% 8.78/6.73 tff(29458,plain,
% 8.78/6.73 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB156) <=> v13(constB156))),
% 8.78/6.73 inference(quant_inst,[status(thm)],[])).
% 8.78/6.73 tff(29459,plain,
% 8.78/6.73 (v6(constB156) <=> v13(constB156)),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29458, 230])).
% 8.78/6.73 tff(29460,plain,
% 8.78/6.73 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB156)) <=> v6(constB156))),
% 8.78/6.73 inference(quant_inst,[status(thm)],[])).
% 8.78/6.73 tff(29461,plain,
% 8.78/6.73 ((~v21(constB156)) <=> v6(constB156)),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29460, 239])).
% 8.78/6.73 tff(29462,plain,
% 8.78/6.73 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB156) <=> (v20(constB156) | v21(constB156)))),
% 8.78/6.73 inference(quant_inst,[status(thm)],[])).
% 8.78/6.73 tff(29463,plain,
% 8.78/6.73 (v19(constB156) <=> (v20(constB156) | v21(constB156))),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29462, 248])).
% 8.78/6.73 tff(29464,plain,
% 8.78/6.73 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB156) <=> (~((~v19(constB156)) | (~v22(constB156)))))),
% 8.78/6.73 inference(quant_inst,[status(thm)],[])).
% 8.78/6.73 tff(29465,plain,
% 8.78/6.73 (v18(constB156) <=> (~((~v19(constB156)) | (~v22(constB156))))),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29464, 260])).
% 8.78/6.73 tff(29466,plain,
% 8.78/6.73 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB156)) <=> v18(constB156))),
% 8.78/6.73 inference(quant_inst,[status(thm)],[])).
% 8.78/6.73 tff(29467,plain,
% 8.78/6.73 ((~v4(constB156)) <=> v18(constB156)),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29466, 269])).
% 8.78/6.73 tff(29468,plain,
% 8.78/6.73 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB156)),
% 8.78/6.73 inference(quant_inst,[status(thm)],[])).
% 8.78/6.73 tff(29469,plain,
% 8.78/6.73 (v4(constB156)),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29468, 278])).
% 8.78/6.73 tff(29470,plain,
% 8.78/6.73 ((~((~v4(constB156)) <=> v18(constB156))) | (~v4(constB156)) | (~v18(constB156))),
% 8.78/6.73 inference(tautology,[status(thm)],[])).
% 8.78/6.73 tff(29471,plain,
% 8.78/6.73 (~v18(constB156)),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29470, 29469, 29467])).
% 8.78/6.73 tff(29472,plain,
% 8.78/6.73 ((~(v18(constB156) <=> (~((~v19(constB156)) | (~v22(constB156)))))) | v18(constB156) | ((~v19(constB156)) | (~v22(constB156)))),
% 8.78/6.73 inference(tautology,[status(thm)],[])).
% 8.78/6.73 tff(29473,plain,
% 8.78/6.73 ((~v19(constB156)) | (~v22(constB156))),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29472, 29471, 29465])).
% 8.78/6.73 tff(29474,plain,
% 8.78/6.73 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB156) <=> (v1(constB156) | v6(constB156)))),
% 8.78/6.73 inference(quant_inst,[status(thm)],[])).
% 8.78/6.73 tff(29475,plain,
% 8.78/6.73 (v22(constB156) <=> (v1(constB156) | v6(constB156))),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29474, 291])).
% 8.78/6.73 tff(29476,plain,
% 8.78/6.73 ((v1(constB156) | v6(constB156)) | (~v1(constB156))),
% 8.78/6.73 inference(tautology,[status(thm)],[])).
% 8.78/6.73 tff(29477,plain,
% 8.78/6.73 (v1(constB156) | v6(constB156)),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29476, 20845])).
% 8.78/6.73 tff(29478,plain,
% 8.78/6.73 ((~(v22(constB156) <=> (v1(constB156) | v6(constB156)))) | v22(constB156) | (~(v1(constB156) | v6(constB156)))),
% 8.78/6.73 inference(tautology,[status(thm)],[])).
% 8.78/6.73 tff(29479,plain,
% 8.78/6.73 ((~(v22(constB156) <=> (v1(constB156) | v6(constB156)))) | v22(constB156)),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29478, 29477])).
% 8.78/6.73 tff(29480,plain,
% 8.78/6.73 (v22(constB156)),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29479, 29475])).
% 8.78/6.73 tff(29481,plain,
% 8.78/6.73 ((~((~v19(constB156)) | (~v22(constB156)))) | (~v19(constB156)) | (~v22(constB156))),
% 8.78/6.73 inference(tautology,[status(thm)],[])).
% 8.78/6.73 tff(29482,plain,
% 8.78/6.73 ((~((~v19(constB156)) | (~v22(constB156)))) | (~v19(constB156))),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29481, 29480])).
% 8.78/6.73 tff(29483,plain,
% 8.78/6.73 (~v19(constB156)),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29482, 29473])).
% 8.78/6.73 tff(29484,plain,
% 8.78/6.73 ((~(v19(constB156) <=> (v20(constB156) | v21(constB156)))) | v19(constB156) | (~(v20(constB156) | v21(constB156)))),
% 8.78/6.73 inference(tautology,[status(thm)],[])).
% 8.78/6.73 tff(29485,plain,
% 8.78/6.73 (~(v20(constB156) | v21(constB156))),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29484, 29483, 29463])).
% 8.78/6.73 tff(29486,plain,
% 8.78/6.73 ((v20(constB156) | v21(constB156)) | (~v21(constB156))),
% 8.78/6.73 inference(tautology,[status(thm)],[])).
% 8.78/6.73 tff(29487,plain,
% 8.78/6.73 (~v21(constB156)),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29486, 29485])).
% 8.78/6.73 tff(29488,plain,
% 8.78/6.73 ((~((~v21(constB156)) <=> v6(constB156))) | v21(constB156) | v6(constB156)),
% 8.78/6.73 inference(tautology,[status(thm)],[])).
% 8.78/6.73 tff(29489,plain,
% 8.78/6.73 (v6(constB156)),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29488, 29487, 29461])).
% 8.78/6.73 tff(29490,plain,
% 8.78/6.73 ((~(v6(constB156) <=> v13(constB156))) | (~v6(constB156)) | v13(constB156)),
% 8.78/6.73 inference(tautology,[status(thm)],[])).
% 8.78/6.73 tff(29491,plain,
% 8.78/6.73 (v13(constB156)),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29490, 29489, 29459])).
% 8.78/6.73 tff(29492,plain,
% 8.78/6.73 ((~(v13(constB156) <=> v9(constB155))) | (~v13(constB156)) | v9(constB155)),
% 8.78/6.73 inference(tautology,[status(thm)],[])).
% 8.78/6.73 tff(29493,plain,
% 8.78/6.73 (v9(constB155)),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29492, 29491, 29457])).
% 8.78/6.73 tff(29494,plain,
% 8.78/6.73 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB155)) <=> v1(constB155))),
% 8.78/6.73 inference(quant_inst,[status(thm)],[])).
% 8.78/6.73 tff(29495,plain,
% 8.78/6.73 ((~v39(constB155)) <=> v1(constB155)),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29494, 129])).
% 8.78/6.73 tff(29496,plain,
% 8.78/6.73 ((~((~v39(constB155)) <=> v1(constB155))) | v39(constB155) | v1(constB155)),
% 8.78/6.73 inference(tautology,[status(thm)],[])).
% 8.78/6.73 tff(29497,plain,
% 8.78/6.73 ((~((~v39(constB155)) <=> v1(constB155))) | v39(constB155)),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29496, 16295])).
% 8.78/6.73 tff(29498,plain,
% 8.78/6.73 (v39(constB155)),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29497, 29495])).
% 8.78/6.73 tff(29499,plain,
% 8.78/6.73 ((~((~v39(constB155)) | (~v9(constB155)))) | (~v39(constB155)) | (~v9(constB155))),
% 8.78/6.73 inference(tautology,[status(thm)],[])).
% 8.78/6.73 tff(29500,plain,
% 8.78/6.73 ((~((~v39(constB155)) | (~v9(constB155)))) | (~v9(constB155))),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29499, 29498])).
% 8.78/6.73 tff(29501,plain,
% 8.78/6.73 (~((~v39(constB155)) | (~v9(constB155)))),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29500, 29493])).
% 8.78/6.73 tff(29502,plain,
% 8.78/6.73 ((~(v197(constB155) <=> (~((~v39(constB155)) | (~v9(constB155)))))) | v197(constB155) | ((~v39(constB155)) | (~v9(constB155)))),
% 8.78/6.73 inference(tautology,[status(thm)],[])).
% 8.78/6.73 tff(29503,plain,
% 8.78/6.73 (v197(constB155)),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29502, 29501, 29453])).
% 8.78/6.73 tff(29504,plain,
% 8.78/6.73 ((v197(constB155) | v26(constB155)) | (~v197(constB155))),
% 8.78/6.73 inference(tautology,[status(thm)],[])).
% 8.78/6.73 tff(29505,plain,
% 8.78/6.73 (v197(constB155) | v26(constB155)),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29504, 29503])).
% 8.78/6.73 tff(29506,plain,
% 8.78/6.73 ((~(v196(constB155) <=> (v197(constB155) | v26(constB155)))) | v196(constB155) | (~(v197(constB155) | v26(constB155)))),
% 8.78/6.73 inference(tautology,[status(thm)],[])).
% 8.78/6.73 tff(29507,plain,
% 8.78/6.73 (v196(constB155)),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29506, 29505, 29451])).
% 8.78/6.73 tff(29508,plain,
% 8.78/6.73 ((~((~v195(constB155)) <=> v196(constB155))) | (~v195(constB155)) | (~v196(constB155))),
% 8.78/6.73 inference(tautology,[status(thm)],[])).
% 8.78/6.73 tff(29509,plain,
% 8.78/6.73 (~v195(constB155)),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29508, 29507, 29449])).
% 8.78/6.73 tff(29510,plain,
% 8.78/6.73 (((~v157(constB155)) | (~v195(constB155))) | v195(constB155)),
% 8.78/6.73 inference(tautology,[status(thm)],[])).
% 8.78/6.73 tff(29511,plain,
% 8.78/6.73 ((~v157(constB155)) | (~v195(constB155))),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29510, 29509])).
% 8.78/6.73 tff(29512,plain,
% 8.78/6.73 ((~(v194(constB155) <=> (~((~v157(constB155)) | (~v195(constB155)))))) | (~v194(constB155)) | (~((~v157(constB155)) | (~v195(constB155))))),
% 8.78/6.73 inference(tautology,[status(thm)],[])).
% 8.78/6.73 tff(29513,plain,
% 8.78/6.73 (~v194(constB155)),
% 8.78/6.73 inference(unit_resolution,[status(thm)],[29512, 29511, 29447])).
% 8.78/6.73 tff(29514,plain,
% 8.78/6.73 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB155) <=> (~((~v199(constB155)) | (~v200(constB155)))))),
% 8.78/6.73 inference(quant_inst,[status(thm)],[])).
% 8.78/6.74 tff(29515,plain,
% 8.78/6.74 (v198(constB155) <=> (~((~v199(constB155)) | (~v200(constB155))))),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29514, 96])).
% 8.78/6.74 tff(29516,plain,
% 8.78/6.74 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB155) <=> (~((~v197(constB155)) | (~v201(constB155)))))),
% 8.78/6.74 inference(quant_inst,[status(thm)],[])).
% 8.78/6.74 tff(29517,plain,
% 8.78/6.74 (v200(constB155) <=> (~((~v197(constB155)) | (~v201(constB155))))),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29516, 108])).
% 8.78/6.74 tff(29518,plain,
% 8.78/6.74 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB155) <=> (~((~v159(constB155)) | (~v161(constB155)))))),
% 8.78/6.74 inference(quant_inst,[status(thm)],[])).
% 8.78/6.74 tff(29519,plain,
% 8.78/6.74 (v201(constB155) <=> (~((~v159(constB155)) | (~v161(constB155))))),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29518, 348])).
% 8.78/6.74 tff(29520,plain,
% 8.78/6.74 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB155) <=> v163(constB155))),
% 8.78/6.74 inference(quant_inst,[status(thm)],[])).
% 8.78/6.74 tff(29521,plain,
% 8.78/6.74 (v161(constB155) <=> v163(constB155)),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29520, 357])).
% 8.78/6.74 tff(29522,plain,
% 8.78/6.74 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB155) <=> (v145(constB155) | v167(constB155)))),
% 8.78/6.74 inference(quant_inst,[status(thm)],[])).
% 8.78/6.74 tff(29523,plain,
% 8.78/6.74 (v166(constB155) <=> (v145(constB155) | v167(constB155))),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29522, 369])).
% 8.78/6.74 tff(29524,plain,
% 8.78/6.74 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB155) <=> (v142(constB155) | v168(constB155)))),
% 8.78/6.74 inference(quant_inst,[status(thm)],[])).
% 8.78/6.74 tff(29525,plain,
% 8.78/6.74 (v167(constB155) <=> (v142(constB155) | v168(constB155))),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29524, 381])).
% 8.78/6.74 tff(29526,plain,
% 8.78/6.74 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB155) <=> (v143(constB155) | v144(constB155)))),
% 8.78/6.74 inference(quant_inst,[status(thm)],[])).
% 8.78/6.74 tff(29527,plain,
% 8.78/6.74 (v142(constB155) <=> (v143(constB155) | v144(constB155))),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29526, 10332])).
% 8.78/6.74 tff(29528,plain,
% 8.78/6.74 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB155) <=> (~((~v88(constB155, bitIndex1)) | (~v88(constB155, bitIndex2)) | v88(constB155, bitIndex0))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB155) <=> (~((~v88(constB155, bitIndex1)) | (~v88(constB155, bitIndex2)) | v88(constB155, bitIndex0)))))),
% 8.78/6.74 inference(rewrite,[status(thm)],[])).
% 8.78/6.74 tff(29529,plain,
% 8.78/6.74 ((v144(constB155) <=> (~(v88(constB155, bitIndex0) | (~v88(constB155, bitIndex1)) | (~v88(constB155, bitIndex2))))) <=> (v144(constB155) <=> (~((~v88(constB155, bitIndex1)) | (~v88(constB155, bitIndex2)) | v88(constB155, bitIndex0))))),
% 8.78/6.74 inference(rewrite,[status(thm)],[])).
% 8.78/6.74 tff(29530,plain,
% 8.78/6.74 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB155) <=> (~(v88(constB155, bitIndex0) | (~v88(constB155, bitIndex1)) | (~v88(constB155, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB155) <=> (~((~v88(constB155, bitIndex1)) | (~v88(constB155, bitIndex2)) | v88(constB155, bitIndex0)))))),
% 8.78/6.74 inference(monotonicity,[status(thm)],[29529])).
% 8.78/6.74 tff(29531,plain,
% 8.78/6.74 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB155) <=> (~(v88(constB155, bitIndex0) | (~v88(constB155, bitIndex1)) | (~v88(constB155, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB155) <=> (~((~v88(constB155, bitIndex1)) | (~v88(constB155, bitIndex2)) | v88(constB155, bitIndex0)))))),
% 8.78/6.74 inference(transitivity,[status(thm)],[29530, 29528])).
% 8.78/6.74 tff(29532,plain,
% 8.78/6.74 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB155) <=> (~(v88(constB155, bitIndex0) | (~v88(constB155, bitIndex1)) | (~v88(constB155, bitIndex2)))))),
% 8.78/6.74 inference(quant_inst,[status(thm)],[])).
% 8.78/6.74 tff(29533,plain,
% 8.78/6.74 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB155) <=> (~((~v88(constB155, bitIndex1)) | (~v88(constB155, bitIndex2)) | v88(constB155, bitIndex0))))),
% 8.78/6.74 inference(modus_ponens,[status(thm)],[29532, 29531])).
% 8.78/6.74 tff(29534,plain,
% 8.78/6.74 (v144(constB155) <=> (~((~v88(constB155, bitIndex1)) | (~v88(constB155, bitIndex2)) | v88(constB155, bitIndex0)))),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29533, 10347])).
% 8.78/6.74 tff(29535,plain,
% 8.78/6.74 ((~![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))) | (~(((~v88(constB155, bitIndex1)) <=> v90(constB155, bitIndex1)) | ((~v88(constB155, bitIndex2)) <=> v90(constB155, bitIndex2)) | ((~v88(constB155, bitIndex0)) <=> v90(constB155, bitIndex0))))),
% 8.78/6.74 inference(quant_inst,[status(thm)],[])).
% 8.78/6.74 tff(29536,plain,
% 8.78/6.74 (~(((~v88(constB155, bitIndex1)) <=> v90(constB155, bitIndex1)) | ((~v88(constB155, bitIndex2)) <=> v90(constB155, bitIndex2)) | ((~v88(constB155, bitIndex0)) <=> v90(constB155, bitIndex0)))),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29535, 428])).
% 8.78/6.74 tff(29537,plain,
% 8.78/6.74 ((((~v88(constB155, bitIndex1)) <=> v90(constB155, bitIndex1)) | ((~v88(constB155, bitIndex2)) <=> v90(constB155, bitIndex2)) | ((~v88(constB155, bitIndex0)) <=> v90(constB155, bitIndex0))) | (~((~v88(constB155, bitIndex2)) <=> v90(constB155, bitIndex2)))),
% 8.78/6.74 inference(tautology,[status(thm)],[])).
% 8.78/6.74 tff(29538,plain,
% 8.78/6.74 (~((~v88(constB155, bitIndex2)) <=> v90(constB155, bitIndex2))),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29537, 29536])).
% 8.78/6.74 tff(29539,plain,
% 8.78/6.74 (((~v88(constB155, bitIndex2)) <=> v90(constB155, bitIndex2)) | v88(constB155, bitIndex2) | (~v90(constB155, bitIndex2))),
% 8.78/6.74 inference(tautology,[status(thm)],[])).
% 8.78/6.74 tff(29540,plain,
% 8.78/6.74 (v88(constB155, bitIndex2)),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29539, 20791, 29538])).
% 8.78/6.74 tff(29541,plain,
% 8.78/6.74 ((((~v88(constB155, bitIndex1)) <=> v90(constB155, bitIndex1)) | ((~v88(constB155, bitIndex2)) <=> v90(constB155, bitIndex2)) | ((~v88(constB155, bitIndex0)) <=> v90(constB155, bitIndex0))) | (~((~v88(constB155, bitIndex0)) <=> v90(constB155, bitIndex0)))),
% 8.78/6.74 inference(tautology,[status(thm)],[])).
% 8.78/6.74 tff(29542,plain,
% 8.78/6.74 (~((~v88(constB155, bitIndex0)) <=> v90(constB155, bitIndex0))),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29541, 29536])).
% 8.78/6.74 tff(29543,plain,
% 8.78/6.74 (((~v88(constB155, bitIndex0)) <=> v90(constB155, bitIndex0)) | (~v88(constB155, bitIndex0)) | v90(constB155, bitIndex0)),
% 8.78/6.74 inference(tautology,[status(thm)],[])).
% 8.78/6.74 tff(29544,plain,
% 8.78/6.74 (~v88(constB155, bitIndex0)),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29543, 20711, 29542])).
% 8.78/6.74 tff(29545,plain,
% 8.78/6.74 ((((~v88(constB155, bitIndex1)) <=> v90(constB155, bitIndex1)) | ((~v88(constB155, bitIndex2)) <=> v90(constB155, bitIndex2)) | ((~v88(constB155, bitIndex0)) <=> v90(constB155, bitIndex0))) | (~((~v88(constB155, bitIndex1)) <=> v90(constB155, bitIndex1)))),
% 8.78/6.74 inference(tautology,[status(thm)],[])).
% 8.78/6.74 tff(29546,plain,
% 8.78/6.74 (~((~v88(constB155, bitIndex1)) <=> v90(constB155, bitIndex1))),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29545, 29536])).
% 8.78/6.74 tff(29547,plain,
% 8.78/6.74 (((~v88(constB155, bitIndex1)) <=> v90(constB155, bitIndex1)) | v88(constB155, bitIndex1) | (~v90(constB155, bitIndex1))),
% 8.78/6.74 inference(tautology,[status(thm)],[])).
% 8.78/6.74 tff(29548,plain,
% 8.78/6.74 (v88(constB155, bitIndex1)),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29547, 20751, 29546])).
% 8.78/6.74 tff(29549,plain,
% 8.78/6.74 ((~((~v88(constB155, bitIndex1)) | (~v88(constB155, bitIndex2)) | v88(constB155, bitIndex0))) | (~v88(constB155, bitIndex1)) | (~v88(constB155, bitIndex2)) | v88(constB155, bitIndex0)),
% 8.78/6.74 inference(tautology,[status(thm)],[])).
% 8.78/6.74 tff(29550,plain,
% 8.78/6.74 (~((~v88(constB155, bitIndex1)) | (~v88(constB155, bitIndex2)) | v88(constB155, bitIndex0))),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29549, 29548, 29544, 29540])).
% 8.78/6.74 tff(29551,plain,
% 8.78/6.74 ((~(v144(constB155) <=> (~((~v88(constB155, bitIndex1)) | (~v88(constB155, bitIndex2)) | v88(constB155, bitIndex0))))) | v144(constB155) | ((~v88(constB155, bitIndex1)) | (~v88(constB155, bitIndex2)) | v88(constB155, bitIndex0))),
% 8.78/6.74 inference(tautology,[status(thm)],[])).
% 8.78/6.74 tff(29552,plain,
% 8.78/6.74 (v144(constB155)),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29551, 29550, 29534])).
% 8.78/6.74 tff(29553,plain,
% 8.78/6.74 ((v143(constB155) | v144(constB155)) | (~v144(constB155))),
% 8.78/6.74 inference(tautology,[status(thm)],[])).
% 8.78/6.74 tff(29554,plain,
% 8.78/6.74 (v143(constB155) | v144(constB155)),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29553, 29552])).
% 8.78/6.74 tff(29555,plain,
% 8.78/6.74 ((~(v142(constB155) <=> (v143(constB155) | v144(constB155)))) | v142(constB155) | (~(v143(constB155) | v144(constB155)))),
% 8.78/6.74 inference(tautology,[status(thm)],[])).
% 8.78/6.74 tff(29556,plain,
% 8.78/6.74 (v142(constB155)),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29555, 29554, 29527])).
% 8.78/6.74 tff(29557,plain,
% 8.78/6.74 ((v142(constB155) | v168(constB155)) | (~v142(constB155))),
% 8.78/6.74 inference(tautology,[status(thm)],[])).
% 8.78/6.74 tff(29558,plain,
% 8.78/6.74 (v142(constB155) | v168(constB155)),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29557, 29556])).
% 8.78/6.74 tff(29559,plain,
% 8.78/6.74 ((~(v167(constB155) <=> (v142(constB155) | v168(constB155)))) | v167(constB155) | (~(v142(constB155) | v168(constB155)))),
% 8.78/6.74 inference(tautology,[status(thm)],[])).
% 8.78/6.74 tff(29560,plain,
% 8.78/6.74 ((~(v167(constB155) <=> (v142(constB155) | v168(constB155)))) | v167(constB155)),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29559, 29558])).
% 8.78/6.74 tff(29561,plain,
% 8.78/6.74 (v167(constB155)),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29560, 29525])).
% 8.78/6.74 tff(29562,plain,
% 8.78/6.74 ((v145(constB155) | v167(constB155)) | (~v167(constB155))),
% 8.78/6.74 inference(tautology,[status(thm)],[])).
% 8.78/6.74 tff(29563,plain,
% 8.78/6.74 (v145(constB155) | v167(constB155)),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29562, 29561])).
% 8.78/6.74 tff(29564,plain,
% 8.78/6.74 ((~(v166(constB155) <=> (v145(constB155) | v167(constB155)))) | v166(constB155) | (~(v145(constB155) | v167(constB155)))),
% 8.78/6.74 inference(tautology,[status(thm)],[])).
% 8.78/6.74 tff(29565,plain,
% 8.78/6.74 (v166(constB155)),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29564, 29563, 29523])).
% 8.78/6.74 tff(29566,plain,
% 8.78/6.74 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB155)) | (v163(constB155) <=> v170(constB155)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB155)) | (v163(constB155) <=> v170(constB155)))),
% 8.78/6.74 inference(rewrite,[status(thm)],[])).
% 8.78/6.74 tff(29567,plain,
% 8.78/6.74 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB155)) | (v163(constB155) <=> v170(constB155)))),
% 8.78/6.74 inference(quant_inst,[status(thm)],[])).
% 8.78/6.74 tff(29568,plain,
% 8.78/6.74 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB155)) | (v163(constB155) <=> v170(constB155))),
% 8.78/6.74 inference(modus_ponens,[status(thm)],[29567, 29566])).
% 8.78/6.74 tff(29569,plain,
% 8.78/6.74 ((~v166(constB155)) | (v163(constB155) <=> v170(constB155))),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29568, 9851])).
% 8.78/6.74 tff(29570,plain,
% 8.78/6.74 (v163(constB155) <=> v170(constB155)),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29569, 29565])).
% 8.78/6.74 tff(29571,plain,
% 8.78/6.74 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB155) <=> (v142(constB155) | v150(constB155)))),
% 8.78/6.74 inference(quant_inst,[status(thm)],[])).
% 8.78/6.74 tff(29572,plain,
% 8.78/6.74 (v171(constB155) <=> (v142(constB155) | v150(constB155))),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29571, 9866])).
% 8.78/6.74 tff(29573,plain,
% 8.78/6.74 ((v142(constB155) | v150(constB155)) | (~v142(constB155))),
% 8.78/6.74 inference(tautology,[status(thm)],[])).
% 8.78/6.74 tff(29574,plain,
% 8.78/6.74 (v142(constB155) | v150(constB155)),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29573, 29556])).
% 8.78/6.74 tff(29575,plain,
% 8.78/6.74 ((~(v171(constB155) <=> (v142(constB155) | v150(constB155)))) | v171(constB155) | (~(v142(constB155) | v150(constB155)))),
% 8.78/6.74 inference(tautology,[status(thm)],[])).
% 8.78/6.74 tff(29576,plain,
% 8.78/6.74 ((~(v171(constB155) <=> (v142(constB155) | v150(constB155)))) | v171(constB155)),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29575, 29574])).
% 8.78/6.74 tff(29577,plain,
% 8.78/6.74 (v171(constB155)),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29576, 29572])).
% 8.78/6.74 tff(29578,plain,
% 8.78/6.74 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB155)) | (~v171(constB155)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB155)) | (~v171(constB155)))),
% 8.78/6.74 inference(rewrite,[status(thm)],[])).
% 8.78/6.74 tff(29579,plain,
% 8.78/6.74 (((~v171(constB155)) | (~v170(constB155))) <=> ((~v170(constB155)) | (~v171(constB155)))),
% 8.78/6.74 inference(rewrite,[status(thm)],[])).
% 8.78/6.74 tff(29580,plain,
% 8.78/6.74 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB155)) | (~v170(constB155)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB155)) | (~v171(constB155))))),
% 8.78/6.74 inference(monotonicity,[status(thm)],[29579])).
% 8.78/6.74 tff(29581,plain,
% 8.78/6.74 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB155)) | (~v170(constB155)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB155)) | (~v171(constB155)))),
% 8.78/6.74 inference(transitivity,[status(thm)],[29580, 29578])).
% 8.78/6.74 tff(29582,plain,
% 8.78/6.74 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB155)) | (~v170(constB155)))),
% 8.78/6.74 inference(quant_inst,[status(thm)],[])).
% 8.78/6.74 tff(29583,plain,
% 8.78/6.74 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB155)) | (~v171(constB155))),
% 8.78/6.74 inference(modus_ponens,[status(thm)],[29582, 29581])).
% 8.78/6.74 tff(29584,plain,
% 8.78/6.74 (~v170(constB155)),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29583, 9899, 29577])).
% 8.78/6.74 tff(29585,plain,
% 8.78/6.74 ((~(v163(constB155) <=> v170(constB155))) | (~v163(constB155)) | v170(constB155)),
% 8.78/6.74 inference(tautology,[status(thm)],[])).
% 8.78/6.74 tff(29586,plain,
% 8.78/6.74 (~v163(constB155)),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29585, 29584, 29570])).
% 8.78/6.74 tff(29587,plain,
% 8.78/6.74 ((~(v161(constB155) <=> v163(constB155))) | (~v161(constB155)) | v163(constB155)),
% 8.78/6.74 inference(tautology,[status(thm)],[])).
% 8.78/6.74 tff(29588,plain,
% 8.78/6.74 (~v161(constB155)),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29587, 29586, 29521])).
% 8.78/6.74 tff(29589,plain,
% 8.78/6.74 (((~v159(constB155)) | (~v161(constB155))) | v161(constB155)),
% 8.78/6.74 inference(tautology,[status(thm)],[])).
% 8.78/6.74 tff(29590,plain,
% 8.78/6.74 ((~v159(constB155)) | (~v161(constB155))),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29589, 29588])).
% 8.78/6.74 tff(29591,plain,
% 8.78/6.74 ((~(v201(constB155) <=> (~((~v159(constB155)) | (~v161(constB155)))))) | (~v201(constB155)) | (~((~v159(constB155)) | (~v161(constB155))))),
% 8.78/6.74 inference(tautology,[status(thm)],[])).
% 8.78/6.74 tff(29592,plain,
% 8.78/6.74 (~v201(constB155)),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29591, 29590, 29519])).
% 8.78/6.74 tff(29593,plain,
% 8.78/6.74 (((~v197(constB155)) | (~v201(constB155))) | v201(constB155)),
% 8.78/6.74 inference(tautology,[status(thm)],[])).
% 8.78/6.74 tff(29594,plain,
% 8.78/6.74 ((~v197(constB155)) | (~v201(constB155))),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29593, 29592])).
% 8.78/6.74 tff(29595,plain,
% 8.78/6.74 ((~(v200(constB155) <=> (~((~v197(constB155)) | (~v201(constB155)))))) | (~v200(constB155)) | (~((~v197(constB155)) | (~v201(constB155))))),
% 8.78/6.74 inference(tautology,[status(thm)],[])).
% 8.78/6.74 tff(29596,plain,
% 8.78/6.74 (~v200(constB155)),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29595, 29594, 29517])).
% 8.78/6.74 tff(29597,plain,
% 8.78/6.74 (((~v199(constB155)) | (~v200(constB155))) | v200(constB155)),
% 8.78/6.74 inference(tautology,[status(thm)],[])).
% 8.78/6.74 tff(29598,plain,
% 8.78/6.74 ((~v199(constB155)) | (~v200(constB155))),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29597, 29596])).
% 8.78/6.74 tff(29599,plain,
% 8.78/6.74 ((~(v198(constB155) <=> (~((~v199(constB155)) | (~v200(constB155)))))) | (~v198(constB155)) | (~((~v199(constB155)) | (~v200(constB155))))),
% 8.78/6.74 inference(tautology,[status(thm)],[])).
% 8.78/6.74 tff(29600,plain,
% 8.78/6.74 (~v198(constB155)),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29599, 29598, 29515])).
% 8.78/6.74 tff(29601,plain,
% 8.78/6.74 ((~(v194(constB155) | v198(constB155))) | v194(constB155) | v198(constB155)),
% 8.78/6.74 inference(tautology,[status(thm)],[])).
% 8.78/6.74 tff(29602,plain,
% 8.78/6.74 (~(v194(constB155) | v198(constB155))),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29601, 29600, 29513])).
% 8.78/6.74 tff(29603,plain,
% 8.78/6.74 ((~(v191(constB155) <=> (v194(constB155) | v198(constB155)))) | (~v191(constB155)) | (v194(constB155) | v198(constB155))),
% 8.78/6.74 inference(tautology,[status(thm)],[])).
% 8.78/6.74 tff(29604,plain,
% 8.78/6.74 (~v191(constB155)),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29603, 29602, 29440])).
% 8.78/6.74 tff(29605,plain,
% 8.78/6.74 ((~(v193(constB156) <=> v191(constB155))) | (~v193(constB156)) | v191(constB155)),
% 8.78/6.74 inference(tautology,[status(thm)],[])).
% 8.78/6.74 tff(29606,plain,
% 8.78/6.74 (~v193(constB156)),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29605, 29604, 29438])).
% 8.78/6.74 tff(29607,plain,
% 8.78/6.74 ((~(v157(constB156) <=> v193(constB156))) | (~v157(constB156)) | v193(constB156)),
% 8.78/6.74 inference(tautology,[status(thm)],[])).
% 8.78/6.74 tff(29608,plain,
% 8.78/6.74 (~v157(constB156)),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29607, 29606, 29434])).
% 8.78/6.74 tff(29609,plain,
% 8.78/6.74 (((~v157(constB156)) | (~v195(constB156))) | v157(constB156)),
% 8.78/6.74 inference(tautology,[status(thm)],[])).
% 8.78/6.74 tff(29610,plain,
% 8.78/6.74 ((~v157(constB156)) | (~v195(constB156))),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29609, 29608])).
% 8.78/6.74 tff(29611,plain,
% 8.78/6.74 ((~(v194(constB156) <=> (~((~v157(constB156)) | (~v195(constB156)))))) | (~v194(constB156)) | (~((~v157(constB156)) | (~v195(constB156))))),
% 8.78/6.74 inference(tautology,[status(thm)],[])).
% 8.78/6.74 tff(29612,plain,
% 8.78/6.74 (~v194(constB156)),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29611, 29610, 29432])).
% 8.78/6.74 tff(29613,plain,
% 8.78/6.74 ((~(v194(constB156) | v198(constB156))) | v194(constB156) | v198(constB156)),
% 8.78/6.74 inference(tautology,[status(thm)],[])).
% 8.78/6.74 tff(29614,plain,
% 8.78/6.74 (~(v194(constB156) | v198(constB156))),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29613, 29612, 29425])).
% 8.78/6.74 tff(29615,plain,
% 8.78/6.74 ((~(v191(constB156) <=> (v194(constB156) | v198(constB156)))) | (~v191(constB156)) | (v194(constB156) | v198(constB156))),
% 8.78/6.74 inference(tautology,[status(thm)],[])).
% 8.78/6.74 tff(29616,plain,
% 8.78/6.74 (~v191(constB156)),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29615, 29614, 29400])).
% 8.78/6.74 tff(29617,plain,
% 8.78/6.74 ((~(v193(constB157) <=> v191(constB156))) | (~v193(constB157)) | v191(constB156)),
% 8.78/6.74 inference(tautology,[status(thm)],[])).
% 8.78/6.74 tff(29618,plain,
% 8.78/6.74 (~v193(constB157)),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29617, 29616, 29398])).
% 8.78/6.74 tff(29619,plain,
% 8.78/6.74 ($false),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29618, 29394])).
% 8.78/6.74 tff(29620,plain,(~(constB157 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.78/6.74 tff(29621,assumption,(constB195 = VarCurr!0), introduced(assumption)).
% 8.78/6.74 tff(29622,plain,
% 8.78/6.74 (v86(constB195) <=> v86(VarCurr!0)),
% 8.78/6.74 inference(monotonicity,[status(thm)],[29621])).
% 8.78/6.74 tff(29623,plain,
% 8.78/6.74 (v86(VarCurr!0) <=> v86(constB195)),
% 8.78/6.74 inference(symmetry,[status(thm)],[29622])).
% 8.78/6.74 tff(29624,plain,
% 8.78/6.74 ((~v86(VarCurr!0)) <=> (~v86(constB195))),
% 8.78/6.74 inference(monotonicity,[status(thm)],[29623])).
% 8.78/6.74 tff(29625,plain,
% 8.78/6.74 (~v86(constB195)),
% 8.78/6.74 inference(modus_ponens,[status(thm)],[14736, 29624])).
% 8.78/6.74 tff(29626,plain,
% 8.78/6.74 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB195) <=> (v136(constB195) | v145(constB195)))),
% 8.78/6.74 inference(quant_inst,[status(thm)],[])).
% 8.78/6.74 tff(29627,plain,
% 8.78/6.74 (v135(constB195) <=> (v136(constB195) | v145(constB195))),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29626, 14744])).
% 8.78/6.74 tff(29628,plain,
% 8.78/6.74 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB195) <=> (v137(constB195) | v142(constB195)))),
% 8.78/6.74 inference(quant_inst,[status(thm)],[])).
% 8.78/6.74 tff(29629,plain,
% 8.78/6.74 (v136(constB195) <=> (v137(constB195) | v142(constB195))),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29628, 14753])).
% 8.78/6.74 tff(29630,plain,
% 8.78/6.74 ((v137(constB195) | v142(constB195)) | (~v142(constB195))),
% 8.78/6.74 inference(tautology,[status(thm)],[])).
% 8.78/6.74 tff(29631,plain,
% 8.78/6.74 (v137(constB195) | v142(constB195)),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29630, 23963])).
% 8.78/6.74 tff(29632,plain,
% 8.78/6.74 ((~(v136(constB195) <=> (v137(constB195) | v142(constB195)))) | v136(constB195) | (~(v137(constB195) | v142(constB195)))),
% 8.78/6.74 inference(tautology,[status(thm)],[])).
% 8.78/6.74 tff(29633,plain,
% 8.78/6.74 ((~(v136(constB195) <=> (v137(constB195) | v142(constB195)))) | v136(constB195)),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29632, 29631])).
% 8.78/6.74 tff(29634,plain,
% 8.78/6.74 (v136(constB195)),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29633, 29629])).
% 8.78/6.74 tff(29635,plain,
% 8.78/6.74 ((v136(constB195) | v145(constB195)) | (~v136(constB195))),
% 8.78/6.74 inference(tautology,[status(thm)],[])).
% 8.78/6.74 tff(29636,plain,
% 8.78/6.74 (v136(constB195) | v145(constB195)),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29635, 29634])).
% 8.78/6.74 tff(29637,plain,
% 8.78/6.74 ((~(v135(constB195) <=> (v136(constB195) | v145(constB195)))) | v135(constB195) | (~(v136(constB195) | v145(constB195)))),
% 8.78/6.74 inference(tautology,[status(thm)],[])).
% 8.78/6.74 tff(29638,plain,
% 8.78/6.74 (v135(constB195)),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29637, 29636, 29627])).
% 8.78/6.74 tff(29639,plain,
% 8.78/6.74 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB195)) | (v86(constB195) <=> v148(constB195)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB195)) | (v86(constB195) <=> v148(constB195)))),
% 8.78/6.74 inference(rewrite,[status(thm)],[])).
% 8.78/6.74 tff(29640,plain,
% 8.78/6.74 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB195)) | (v86(constB195) <=> v148(constB195)))),
% 8.78/6.74 inference(quant_inst,[status(thm)],[])).
% 8.78/6.74 tff(29641,plain,
% 8.78/6.74 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB195)) | (v86(constB195) <=> v148(constB195))),
% 8.78/6.74 inference(modus_ponens,[status(thm)],[29640, 29639])).
% 8.78/6.74 tff(29642,plain,
% 8.78/6.74 (v86(constB195) <=> v148(constB195)),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29641, 14818, 29638])).
% 8.78/6.74 tff(29643,plain,
% 8.78/6.74 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB195) | (~v142(constB195)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB195) | (~v142(constB195)))),
% 8.78/6.74 inference(rewrite,[status(thm)],[])).
% 8.78/6.74 tff(29644,plain,
% 8.78/6.74 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB195) | (~v142(constB195)))),
% 8.78/6.74 inference(quant_inst,[status(thm)],[])).
% 8.78/6.74 tff(29645,plain,
% 8.78/6.74 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB195) | (~v142(constB195))),
% 8.78/6.74 inference(modus_ponens,[status(thm)],[29644, 29643])).
% 8.78/6.74 tff(29646,plain,
% 8.78/6.74 (v148(constB195)),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29645, 14832, 23963])).
% 8.78/6.74 tff(29647,plain,
% 8.78/6.74 ((~(v86(constB195) <=> v148(constB195))) | v86(constB195) | (~v148(constB195))),
% 8.78/6.74 inference(tautology,[status(thm)],[])).
% 8.78/6.74 tff(29648,plain,
% 8.78/6.74 ((~(v86(constB195) <=> v148(constB195))) | v86(constB195)),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29647, 29646])).
% 8.78/6.74 tff(29649,plain,
% 8.78/6.74 (v86(constB195)),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29648, 29642])).
% 8.78/6.74 tff(29650,plain,
% 8.78/6.74 ($false),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29649, 29625])).
% 8.78/6.74 tff(29651,plain,(~(constB195 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.78/6.74 tff(29652,assumption,(constB61 = VarCurr!0), introduced(assumption)).
% 8.78/6.74 tff(29653,plain,
% 8.78/6.74 (v193(constB61) <=> v193(VarCurr!0)),
% 8.78/6.74 inference(monotonicity,[status(thm)],[29652])).
% 8.78/6.74 tff(29654,plain,
% 8.78/6.74 (v193(VarCurr!0) <=> v193(constB61)),
% 8.78/6.74 inference(symmetry,[status(thm)],[29653])).
% 8.78/6.74 tff(29655,plain,
% 8.78/6.74 (v193(constB61)),
% 8.78/6.74 inference(modus_ponens,[status(thm)],[59, 29654])).
% 8.78/6.74 tff(29656,plain,
% 8.78/6.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB60, constB61)) | (v193(constB61) <=> v191(constB60)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB60, constB61)) | (v193(constB61) <=> v191(constB60)))),
% 8.78/6.74 inference(rewrite,[status(thm)],[])).
% 8.78/6.74 tff(29657,plain,
% 8.78/6.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB60, constB61)) | (v193(constB61) <=> v191(constB60)))),
% 8.78/6.74 inference(quant_inst,[status(thm)],[])).
% 8.78/6.74 tff(29658,plain,
% 8.78/6.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB60, constB61)) | (v193(constB61) <=> v191(constB60))),
% 8.78/6.74 inference(modus_ponens,[status(thm)],[29657, 29656])).
% 8.78/6.74 tff(29659,plain,
% 8.78/6.74 (v193(constB61) <=> v191(constB60)),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29658, 1222, 70])).
% 8.78/6.74 tff(29660,plain,
% 8.78/6.74 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB60) <=> (v194(constB60) | v198(constB60)))),
% 8.78/6.74 inference(quant_inst,[status(thm)],[])).
% 8.78/6.74 tff(29661,plain,
% 8.78/6.74 (v191(constB60) <=> (v194(constB60) | v198(constB60))),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29660, 84])).
% 8.78/6.74 tff(29662,plain,
% 8.78/6.74 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB60) <=> (~((~v199(constB60)) | (~v200(constB60)))))),
% 8.78/6.74 inference(quant_inst,[status(thm)],[])).
% 8.78/6.74 tff(29663,plain,
% 8.78/6.74 (v198(constB60) <=> (~((~v199(constB60)) | (~v200(constB60))))),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29662, 96])).
% 8.78/6.74 tff(29664,plain,
% 8.78/6.74 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB60) <=> (~((~v197(constB60)) | (~v201(constB60)))))),
% 8.78/6.74 inference(quant_inst,[status(thm)],[])).
% 8.78/6.74 tff(29665,plain,
% 8.78/6.74 (v200(constB60) <=> (~((~v197(constB60)) | (~v201(constB60))))),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29664, 108])).
% 8.78/6.74 tff(29666,plain,
% 8.78/6.74 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB60) <=> (~((~v39(constB60)) | (~v9(constB60)))))),
% 8.78/6.74 inference(quant_inst,[status(thm)],[])).
% 8.78/6.74 tff(29667,plain,
% 8.78/6.74 (v197(constB60) <=> (~((~v39(constB60)) | (~v9(constB60))))),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29666, 120])).
% 8.78/6.74 tff(29668,plain,
% 8.78/6.74 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB60)) <=> v1(constB60))),
% 8.78/6.74 inference(quant_inst,[status(thm)],[])).
% 8.78/6.74 tff(29669,plain,
% 8.78/6.74 ((~v39(constB60)) <=> v1(constB60)),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29668, 129])).
% 8.78/6.74 tff(29670,plain,
% 8.78/6.74 ((~((~v39(constB60)) <=> v1(constB60))) | (~v39(constB60)) | (~v1(constB60))),
% 8.78/6.74 inference(tautology,[status(thm)],[])).
% 8.78/6.74 tff(29671,plain,
% 8.78/6.74 ((~((~v39(constB60)) <=> v1(constB60))) | (~v39(constB60))),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29670, 8105])).
% 8.78/6.74 tff(29672,plain,
% 8.78/6.74 (~v39(constB60)),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29671, 29669])).
% 8.78/6.74 tff(29673,plain,
% 8.78/6.74 (((~v39(constB60)) | (~v9(constB60))) | v39(constB60)),
% 8.78/6.74 inference(tautology,[status(thm)],[])).
% 8.78/6.74 tff(29674,plain,
% 8.78/6.74 ((~v39(constB60)) | (~v9(constB60))),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29673, 29672])).
% 8.78/6.74 tff(29675,plain,
% 8.78/6.74 ((~(v197(constB60) <=> (~((~v39(constB60)) | (~v9(constB60)))))) | (~v197(constB60)) | (~((~v39(constB60)) | (~v9(constB60))))),
% 8.78/6.74 inference(tautology,[status(thm)],[])).
% 8.78/6.74 tff(29676,plain,
% 8.78/6.74 ((~(v197(constB60) <=> (~((~v39(constB60)) | (~v9(constB60)))))) | (~v197(constB60))),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29675, 29674])).
% 8.78/6.74 tff(29677,plain,
% 8.78/6.74 (~v197(constB60)),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29676, 29667])).
% 8.78/6.74 tff(29678,plain,
% 8.78/6.74 (((~v197(constB60)) | (~v201(constB60))) | v197(constB60)),
% 8.78/6.74 inference(tautology,[status(thm)],[])).
% 8.78/6.74 tff(29679,plain,
% 8.78/6.74 ((~v197(constB60)) | (~v201(constB60))),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29678, 29677])).
% 8.78/6.74 tff(29680,plain,
% 8.78/6.74 ((~(v200(constB60) <=> (~((~v197(constB60)) | (~v201(constB60)))))) | (~v200(constB60)) | (~((~v197(constB60)) | (~v201(constB60))))),
% 8.78/6.74 inference(tautology,[status(thm)],[])).
% 8.78/6.74 tff(29681,plain,
% 8.78/6.74 ((~(v200(constB60) <=> (~((~v197(constB60)) | (~v201(constB60)))))) | (~v200(constB60))),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29680, 29679])).
% 8.78/6.74 tff(29682,plain,
% 8.78/6.74 (~v200(constB60)),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29681, 29665])).
% 8.78/6.74 tff(29683,plain,
% 8.78/6.74 (((~v199(constB60)) | (~v200(constB60))) | v200(constB60)),
% 8.78/6.74 inference(tautology,[status(thm)],[])).
% 8.78/6.74 tff(29684,plain,
% 8.78/6.74 ((~v199(constB60)) | (~v200(constB60))),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29683, 29682])).
% 8.78/6.74 tff(29685,plain,
% 8.78/6.74 ((~(v198(constB60) <=> (~((~v199(constB60)) | (~v200(constB60)))))) | (~v198(constB60)) | (~((~v199(constB60)) | (~v200(constB60))))),
% 8.78/6.74 inference(tautology,[status(thm)],[])).
% 8.78/6.74 tff(29686,plain,
% 8.78/6.74 (~v198(constB60)),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29685, 29684, 29663])).
% 8.78/6.74 tff(29687,plain,
% 8.78/6.74 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB60) <=> (~((~v157(constB60)) | (~v195(constB60)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB60) <=> (~((~v157(constB60)) | (~v195(constB60))))))),
% 8.78/6.74 inference(rewrite,[status(thm)],[])).
% 8.78/6.74 tff(29688,plain,
% 8.78/6.74 ((v194(constB60) <=> (~((~v195(constB60)) | (~v157(constB60))))) <=> (v194(constB60) <=> (~((~v157(constB60)) | (~v195(constB60)))))),
% 8.78/6.74 inference(rewrite,[status(thm)],[])).
% 8.78/6.74 tff(29689,plain,
% 8.78/6.74 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB60) <=> (~((~v195(constB60)) | (~v157(constB60)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB60) <=> (~((~v157(constB60)) | (~v195(constB60))))))),
% 8.78/6.74 inference(monotonicity,[status(thm)],[29688])).
% 8.78/6.74 tff(29690,plain,
% 8.78/6.74 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB60) <=> (~((~v195(constB60)) | (~v157(constB60)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB60) <=> (~((~v157(constB60)) | (~v195(constB60))))))),
% 8.78/6.74 inference(transitivity,[status(thm)],[29689, 29687])).
% 8.78/6.74 tff(29691,plain,
% 8.78/6.74 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB60) <=> (~((~v195(constB60)) | (~v157(constB60)))))),
% 8.78/6.74 inference(quant_inst,[status(thm)],[])).
% 8.78/6.74 tff(29692,plain,
% 8.78/6.74 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB60) <=> (~((~v157(constB60)) | (~v195(constB60)))))),
% 8.78/6.74 inference(modus_ponens,[status(thm)],[29691, 29690])).
% 8.78/6.74 tff(29693,plain,
% 8.78/6.74 (v194(constB60) <=> (~((~v157(constB60)) | (~v195(constB60))))),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29692, 161])).
% 8.78/6.74 tff(29694,plain,
% 8.78/6.74 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB60) <=> v193(constB60))),
% 8.78/6.74 inference(quant_inst,[status(thm)],[])).
% 8.78/6.74 tff(29695,plain,
% 8.78/6.74 (v157(constB60) <=> v193(constB60)),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29694, 13])).
% 8.78/6.74 tff(29696,plain,
% 8.78/6.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB59, constB60)) | (v193(constB60) <=> v191(constB59)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB59, constB60)) | (v193(constB60) <=> v191(constB59)))),
% 8.78/6.74 inference(rewrite,[status(thm)],[])).
% 8.78/6.74 tff(29697,plain,
% 8.78/6.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB59, constB60)) | (v193(constB60) <=> v191(constB59)))),
% 8.78/6.74 inference(quant_inst,[status(thm)],[])).
% 8.78/6.74 tff(29698,plain,
% 8.78/6.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB59, constB60)) | (v193(constB60) <=> v191(constB59))),
% 8.78/6.74 inference(modus_ponens,[status(thm)],[29697, 29696])).
% 8.78/6.74 tff(29699,plain,
% 8.78/6.74 (v193(constB60) <=> v191(constB59)),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29698, 1258, 70])).
% 8.78/6.74 tff(29700,plain,
% 8.78/6.74 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB59) <=> (v194(constB59) | v198(constB59)))),
% 8.78/6.74 inference(quant_inst,[status(thm)],[])).
% 8.78/6.74 tff(29701,plain,
% 8.78/6.74 (v191(constB59) <=> (v194(constB59) | v198(constB59))),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29700, 84])).
% 8.78/6.74 tff(29702,plain,
% 8.78/6.74 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB59) <=> (~((~v157(constB59)) | (~v195(constB59)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB59) <=> (~((~v157(constB59)) | (~v195(constB59))))))),
% 8.78/6.74 inference(rewrite,[status(thm)],[])).
% 8.78/6.74 tff(29703,plain,
% 8.78/6.74 ((v194(constB59) <=> (~((~v195(constB59)) | (~v157(constB59))))) <=> (v194(constB59) <=> (~((~v157(constB59)) | (~v195(constB59)))))),
% 8.78/6.74 inference(rewrite,[status(thm)],[])).
% 8.78/6.74 tff(29704,plain,
% 8.78/6.74 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB59) <=> (~((~v195(constB59)) | (~v157(constB59)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB59) <=> (~((~v157(constB59)) | (~v195(constB59))))))),
% 8.78/6.74 inference(monotonicity,[status(thm)],[29703])).
% 8.78/6.74 tff(29705,plain,
% 8.78/6.74 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB59) <=> (~((~v195(constB59)) | (~v157(constB59)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB59) <=> (~((~v157(constB59)) | (~v195(constB59))))))),
% 8.78/6.74 inference(transitivity,[status(thm)],[29704, 29702])).
% 8.78/6.74 tff(29706,plain,
% 8.78/6.74 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB59) <=> (~((~v195(constB59)) | (~v157(constB59)))))),
% 8.78/6.74 inference(quant_inst,[status(thm)],[])).
% 8.78/6.74 tff(29707,plain,
% 8.78/6.74 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB59) <=> (~((~v157(constB59)) | (~v195(constB59)))))),
% 8.78/6.74 inference(modus_ponens,[status(thm)],[29706, 29705])).
% 8.78/6.74 tff(29708,plain,
% 8.78/6.74 (v194(constB59) <=> (~((~v157(constB59)) | (~v195(constB59))))),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29707, 161])).
% 8.78/6.74 tff(29709,plain,
% 8.78/6.74 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB59)) <=> v196(constB59))),
% 8.78/6.74 inference(quant_inst,[status(thm)],[])).
% 8.78/6.74 tff(29710,plain,
% 8.78/6.74 ((~v195(constB59)) <=> v196(constB59)),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29709, 193])).
% 8.78/6.74 tff(29711,plain,
% 8.78/6.74 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB59) <=> (v197(constB59) | v26(constB59)))),
% 8.78/6.74 inference(quant_inst,[status(thm)],[])).
% 8.78/6.74 tff(29712,plain,
% 8.78/6.74 (v196(constB59) <=> (v197(constB59) | v26(constB59))),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29711, 202])).
% 8.78/6.74 tff(29713,plain,
% 8.78/6.74 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB59) <=> (~((~v39(constB59)) | (~v9(constB59)))))),
% 8.78/6.74 inference(quant_inst,[status(thm)],[])).
% 8.78/6.74 tff(29714,plain,
% 8.78/6.74 (v197(constB59) <=> (~((~v39(constB59)) | (~v9(constB59))))),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29713, 120])).
% 8.78/6.74 tff(29715,plain,
% 8.78/6.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB59, constB60)) | (v13(constB60) <=> v9(constB59)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB59, constB60)) | (v13(constB60) <=> v9(constB59)))),
% 8.78/6.74 inference(rewrite,[status(thm)],[])).
% 8.78/6.74 tff(29716,plain,
% 8.78/6.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB59, constB60)) | (v13(constB60) <=> v9(constB59)))),
% 8.78/6.74 inference(quant_inst,[status(thm)],[])).
% 8.78/6.74 tff(29717,plain,
% 8.78/6.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB59, constB60)) | (v13(constB60) <=> v9(constB59))),
% 8.78/6.74 inference(modus_ponens,[status(thm)],[29716, 29715])).
% 8.78/6.74 tff(29718,plain,
% 8.78/6.74 (v13(constB60) <=> v9(constB59)),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29717, 1258, 216])).
% 8.78/6.74 tff(29719,plain,
% 8.78/6.74 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB60) <=> v13(constB60))),
% 8.78/6.74 inference(quant_inst,[status(thm)],[])).
% 8.78/6.74 tff(29720,plain,
% 8.78/6.74 (v6(constB60) <=> v13(constB60)),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29719, 230])).
% 8.78/6.74 tff(29721,plain,
% 8.78/6.74 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB60)) <=> v6(constB60))),
% 8.78/6.74 inference(quant_inst,[status(thm)],[])).
% 8.78/6.74 tff(29722,plain,
% 8.78/6.74 ((~v21(constB60)) <=> v6(constB60)),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29721, 239])).
% 8.78/6.74 tff(29723,plain,
% 8.78/6.74 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB60) <=> (v20(constB60) | v21(constB60)))),
% 8.78/6.74 inference(quant_inst,[status(thm)],[])).
% 8.78/6.74 tff(29724,plain,
% 8.78/6.74 (v19(constB60) <=> (v20(constB60) | v21(constB60))),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29723, 248])).
% 8.78/6.74 tff(29725,plain,
% 8.78/6.74 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB60) <=> (~((~v19(constB60)) | (~v22(constB60)))))),
% 8.78/6.74 inference(quant_inst,[status(thm)],[])).
% 8.78/6.74 tff(29726,plain,
% 8.78/6.74 (v18(constB60) <=> (~((~v19(constB60)) | (~v22(constB60))))),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29725, 260])).
% 8.78/6.74 tff(29727,plain,
% 8.78/6.74 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB60)) <=> v18(constB60))),
% 8.78/6.74 inference(quant_inst,[status(thm)],[])).
% 8.78/6.74 tff(29728,plain,
% 8.78/6.74 ((~v4(constB60)) <=> v18(constB60)),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29727, 269])).
% 8.78/6.74 tff(29729,plain,
% 8.78/6.74 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB60)),
% 8.78/6.74 inference(quant_inst,[status(thm)],[])).
% 8.78/6.74 tff(29730,plain,
% 8.78/6.74 (v4(constB60)),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29729, 278])).
% 8.78/6.74 tff(29731,plain,
% 8.78/6.74 ((~((~v4(constB60)) <=> v18(constB60))) | (~v4(constB60)) | (~v18(constB60))),
% 8.78/6.74 inference(tautology,[status(thm)],[])).
% 8.78/6.74 tff(29732,plain,
% 8.78/6.74 (~v18(constB60)),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29731, 29730, 29728])).
% 8.78/6.74 tff(29733,plain,
% 8.78/6.74 ((~(v18(constB60) <=> (~((~v19(constB60)) | (~v22(constB60)))))) | v18(constB60) | ((~v19(constB60)) | (~v22(constB60)))),
% 8.78/6.74 inference(tautology,[status(thm)],[])).
% 8.78/6.74 tff(29734,plain,
% 8.78/6.74 ((~v19(constB60)) | (~v22(constB60))),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29733, 29732, 29726])).
% 8.78/6.74 tff(29735,plain,
% 8.78/6.74 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB60) <=> (v1(constB60) | v6(constB60)))),
% 8.78/6.74 inference(quant_inst,[status(thm)],[])).
% 8.78/6.74 tff(29736,plain,
% 8.78/6.74 (v22(constB60) <=> (v1(constB60) | v6(constB60))),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29735, 291])).
% 8.78/6.74 tff(29737,plain,
% 8.78/6.74 ((v1(constB60) | v6(constB60)) | (~v1(constB60))),
% 8.78/6.74 inference(tautology,[status(thm)],[])).
% 8.78/6.74 tff(29738,plain,
% 8.78/6.74 (v1(constB60) | v6(constB60)),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29737, 8105])).
% 8.78/6.74 tff(29739,plain,
% 8.78/6.74 ((~(v22(constB60) <=> (v1(constB60) | v6(constB60)))) | v22(constB60) | (~(v1(constB60) | v6(constB60)))),
% 8.78/6.74 inference(tautology,[status(thm)],[])).
% 8.78/6.74 tff(29740,plain,
% 8.78/6.74 ((~(v22(constB60) <=> (v1(constB60) | v6(constB60)))) | v22(constB60)),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29739, 29738])).
% 8.78/6.74 tff(29741,plain,
% 8.78/6.74 (v22(constB60)),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29740, 29736])).
% 8.78/6.74 tff(29742,plain,
% 8.78/6.74 ((~((~v19(constB60)) | (~v22(constB60)))) | (~v19(constB60)) | (~v22(constB60))),
% 8.78/6.74 inference(tautology,[status(thm)],[])).
% 8.78/6.74 tff(29743,plain,
% 8.78/6.74 ((~((~v19(constB60)) | (~v22(constB60)))) | (~v19(constB60))),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29742, 29741])).
% 8.78/6.74 tff(29744,plain,
% 8.78/6.74 (~v19(constB60)),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29743, 29734])).
% 8.78/6.74 tff(29745,plain,
% 8.78/6.74 ((~(v19(constB60) <=> (v20(constB60) | v21(constB60)))) | v19(constB60) | (~(v20(constB60) | v21(constB60)))),
% 8.78/6.74 inference(tautology,[status(thm)],[])).
% 8.78/6.74 tff(29746,plain,
% 8.78/6.74 (~(v20(constB60) | v21(constB60))),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29745, 29744, 29724])).
% 8.78/6.74 tff(29747,plain,
% 8.78/6.74 ((v20(constB60) | v21(constB60)) | (~v21(constB60))),
% 8.78/6.74 inference(tautology,[status(thm)],[])).
% 8.78/6.74 tff(29748,plain,
% 8.78/6.74 (~v21(constB60)),
% 8.78/6.74 inference(unit_resolution,[status(thm)],[29747, 29746])).
% 8.78/6.75 tff(29749,plain,
% 8.78/6.75 ((~((~v21(constB60)) <=> v6(constB60))) | v21(constB60) | v6(constB60)),
% 8.78/6.75 inference(tautology,[status(thm)],[])).
% 8.78/6.75 tff(29750,plain,
% 8.78/6.75 (v6(constB60)),
% 8.78/6.75 inference(unit_resolution,[status(thm)],[29749, 29748, 29722])).
% 8.78/6.75 tff(29751,plain,
% 8.78/6.75 ((~(v6(constB60) <=> v13(constB60))) | (~v6(constB60)) | v13(constB60)),
% 8.78/6.75 inference(tautology,[status(thm)],[])).
% 8.78/6.75 tff(29752,plain,
% 8.78/6.75 (v13(constB60)),
% 8.78/6.75 inference(unit_resolution,[status(thm)],[29751, 29750, 29720])).
% 8.78/6.75 tff(29753,plain,
% 8.78/6.75 ((~(v13(constB60) <=> v9(constB59))) | (~v13(constB60)) | v9(constB59)),
% 8.78/6.75 inference(tautology,[status(thm)],[])).
% 8.78/6.75 tff(29754,plain,
% 8.78/6.75 (v9(constB59)),
% 8.78/6.75 inference(unit_resolution,[status(thm)],[29753, 29752, 29718])).
% 8.78/6.75 tff(29755,plain,
% 8.78/6.75 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB59)) <=> v1(constB59))),
% 8.78/6.75 inference(quant_inst,[status(thm)],[])).
% 8.78/6.75 tff(29756,plain,
% 8.78/6.75 ((~v39(constB59)) <=> v1(constB59)),
% 8.78/6.75 inference(unit_resolution,[status(thm)],[29755, 129])).
% 8.78/6.75 tff(29757,plain,
% 8.78/6.75 ((~((~v39(constB59)) <=> v1(constB59))) | v39(constB59) | v1(constB59)),
% 8.78/6.75 inference(tautology,[status(thm)],[])).
% 8.78/6.75 tff(29758,plain,
% 8.78/6.75 ((~((~v39(constB59)) <=> v1(constB59))) | v39(constB59)),
% 8.78/6.75 inference(unit_resolution,[status(thm)],[29757, 1302])).
% 8.78/6.75 tff(29759,plain,
% 8.78/6.75 (v39(constB59)),
% 8.78/6.75 inference(unit_resolution,[status(thm)],[29758, 29756])).
% 8.78/6.75 tff(29760,plain,
% 8.78/6.75 ((~((~v39(constB59)) | (~v9(constB59)))) | (~v39(constB59)) | (~v9(constB59))),
% 8.78/6.75 inference(tautology,[status(thm)],[])).
% 8.78/6.75 tff(29761,plain,
% 8.78/6.75 ((~((~v39(constB59)) | (~v9(constB59)))) | (~v9(constB59))),
% 8.78/6.75 inference(unit_resolution,[status(thm)],[29760, 29759])).
% 8.78/6.75 tff(29762,plain,
% 8.78/6.75 (~((~v39(constB59)) | (~v9(constB59)))),
% 8.78/6.75 inference(unit_resolution,[status(thm)],[29761, 29754])).
% 8.78/6.75 tff(29763,plain,
% 8.78/6.75 ((~(v197(constB59) <=> (~((~v39(constB59)) | (~v9(constB59)))))) | v197(constB59) | ((~v39(constB59)) | (~v9(constB59)))),
% 8.78/6.75 inference(tautology,[status(thm)],[])).
% 8.78/6.75 tff(29764,plain,
% 8.78/6.75 (v197(constB59)),
% 8.78/6.75 inference(unit_resolution,[status(thm)],[29763, 29762, 29714])).
% 8.78/6.75 tff(29765,plain,
% 8.78/6.75 ((v197(constB59) | v26(constB59)) | (~v197(constB59))),
% 8.78/6.75 inference(tautology,[status(thm)],[])).
% 8.78/6.75 tff(29766,plain,
% 8.78/6.75 (v197(constB59) | v26(constB59)),
% 8.78/6.75 inference(unit_resolution,[status(thm)],[29765, 29764])).
% 8.78/6.75 tff(29767,plain,
% 8.78/6.75 ((~(v196(constB59) <=> (v197(constB59) | v26(constB59)))) | v196(constB59) | (~(v197(constB59) | v26(constB59)))),
% 8.78/6.75 inference(tautology,[status(thm)],[])).
% 8.78/6.75 tff(29768,plain,
% 8.78/6.75 (v196(constB59)),
% 8.78/6.75 inference(unit_resolution,[status(thm)],[29767, 29766, 29712])).
% 8.78/6.75 tff(29769,plain,
% 8.78/6.75 ((~((~v195(constB59)) <=> v196(constB59))) | (~v195(constB59)) | (~v196(constB59))),
% 8.78/6.75 inference(tautology,[status(thm)],[])).
% 8.78/6.75 tff(29770,plain,
% 8.78/6.75 (~v195(constB59)),
% 8.78/6.75 inference(unit_resolution,[status(thm)],[29769, 29768, 29710])).
% 8.78/6.75 tff(29771,plain,
% 8.78/6.75 (((~v157(constB59)) | (~v195(constB59))) | v195(constB59)),
% 8.78/6.75 inference(tautology,[status(thm)],[])).
% 8.78/6.75 tff(29772,plain,
% 8.78/6.75 ((~v157(constB59)) | (~v195(constB59))),
% 8.78/6.75 inference(unit_resolution,[status(thm)],[29771, 29770])).
% 8.78/6.75 tff(29773,plain,
% 8.78/6.75 ((~(v194(constB59) <=> (~((~v157(constB59)) | (~v195(constB59)))))) | (~v194(constB59)) | (~((~v157(constB59)) | (~v195(constB59))))),
% 8.78/6.75 inference(tautology,[status(thm)],[])).
% 8.78/6.75 tff(29774,plain,
% 8.78/6.75 (~v194(constB59)),
% 8.78/6.75 inference(unit_resolution,[status(thm)],[29773, 29772, 29708])).
% 8.78/6.75 tff(29775,plain,
% 8.78/6.75 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB59) <=> (~((~v199(constB59)) | (~v200(constB59)))))),
% 8.78/6.75 inference(quant_inst,[status(thm)],[])).
% 8.78/6.75 tff(29776,plain,
% 8.78/6.75 (v198(constB59) <=> (~((~v199(constB59)) | (~v200(constB59))))),
% 8.78/6.75 inference(unit_resolution,[status(thm)],[29775, 96])).
% 8.78/6.75 tff(29777,plain,
% 8.78/6.75 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB59) <=> (~((~v197(constB59)) | (~v201(constB59)))))),
% 8.78/6.75 inference(quant_inst,[status(thm)],[])).
% 8.78/6.75 tff(29778,plain,
% 8.78/6.75 (v200(constB59) <=> (~((~v197(constB59)) | (~v201(constB59))))),
% 8.78/6.75 inference(unit_resolution,[status(thm)],[29777, 108])).
% 8.78/6.75 tff(29779,plain,
% 8.78/6.75 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB59) <=> (~((~v159(constB59)) | (~v161(constB59)))))),
% 8.78/6.75 inference(quant_inst,[status(thm)],[])).
% 8.78/6.75 tff(29780,plain,
% 8.78/6.75 (v201(constB59) <=> (~((~v159(constB59)) | (~v161(constB59))))),
% 8.78/6.75 inference(unit_resolution,[status(thm)],[29779, 348])).
% 8.78/6.75 tff(29781,plain,
% 8.78/6.75 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB59) <=> v163(constB59))),
% 8.78/6.75 inference(quant_inst,[status(thm)],[])).
% 8.78/6.75 tff(29782,plain,
% 8.78/6.75 (v161(constB59) <=> v163(constB59)),
% 8.78/6.75 inference(unit_resolution,[status(thm)],[29781, 357])).
% 8.78/6.75 tff(29783,plain,
% 8.78/6.75 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB59) <=> (v145(constB59) | v167(constB59)))),
% 8.78/6.75 inference(quant_inst,[status(thm)],[])).
% 8.78/6.75 tff(29784,plain,
% 8.78/6.75 (v166(constB59) <=> (v145(constB59) | v167(constB59))),
% 8.78/6.75 inference(unit_resolution,[status(thm)],[29783, 369])).
% 8.78/6.75 tff(29785,plain,
% 8.78/6.75 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB59) <=> (v142(constB59) | v168(constB59)))),
% 8.78/6.75 inference(quant_inst,[status(thm)],[])).
% 8.78/6.75 tff(29786,plain,
% 8.78/6.75 (v167(constB59) <=> (v142(constB59) | v168(constB59))),
% 8.78/6.75 inference(unit_resolution,[status(thm)],[29785, 381])).
% 8.78/6.75 tff(29787,plain,
% 8.78/6.75 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB59) <=> (v143(constB59) | v144(constB59)))),
% 8.78/6.75 inference(quant_inst,[status(thm)],[])).
% 8.78/6.75 tff(29788,plain,
% 8.78/6.75 (v142(constB59) <=> (v143(constB59) | v144(constB59))),
% 8.78/6.75 inference(unit_resolution,[status(thm)],[29787, 10332])).
% 8.78/6.75 tff(29789,plain,
% 8.78/6.75 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB59) <=> (~((~v88(constB59, bitIndex1)) | v88(constB59, bitIndex2) | v88(constB59, bitIndex0))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB59) <=> (~((~v88(constB59, bitIndex1)) | v88(constB59, bitIndex2) | v88(constB59, bitIndex0)))))),
% 8.78/6.75 inference(rewrite,[status(thm)],[])).
% 8.78/6.75 tff(29790,plain,
% 8.78/6.75 ((v143(constB59) <=> (~(v88(constB59, bitIndex0) | v88(constB59, bitIndex2) | (~v88(constB59, bitIndex1))))) <=> (v143(constB59) <=> (~((~v88(constB59, bitIndex1)) | v88(constB59, bitIndex2) | v88(constB59, bitIndex0))))),
% 8.78/6.75 inference(rewrite,[status(thm)],[])).
% 8.78/6.75 tff(29791,plain,
% 8.78/6.75 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB59) <=> (~(v88(constB59, bitIndex0) | v88(constB59, bitIndex2) | (~v88(constB59, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB59) <=> (~((~v88(constB59, bitIndex1)) | v88(constB59, bitIndex2) | v88(constB59, bitIndex0)))))),
% 8.78/6.75 inference(monotonicity,[status(thm)],[29790])).
% 8.78/6.75 tff(29792,plain,
% 8.78/6.75 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB59) <=> (~(v88(constB59, bitIndex0) | v88(constB59, bitIndex2) | (~v88(constB59, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB59) <=> (~((~v88(constB59, bitIndex1)) | v88(constB59, bitIndex2) | v88(constB59, bitIndex0)))))),
% 8.78/6.75 inference(transitivity,[status(thm)],[29791, 29789])).
% 8.78/6.75 tff(29793,plain,
% 8.78/6.75 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB59) <=> (~(v88(constB59, bitIndex0) | v88(constB59, bitIndex2) | (~v88(constB59, bitIndex1)))))),
% 8.78/6.75 inference(quant_inst,[status(thm)],[])).
% 8.78/6.75 tff(29794,plain,
% 8.78/6.75 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB59) <=> (~((~v88(constB59, bitIndex1)) | v88(constB59, bitIndex2) | v88(constB59, bitIndex0))))),
% 8.78/6.75 inference(modus_ponens,[status(thm)],[29793, 29792])).
% 8.78/6.75 tff(29795,plain,
% 8.78/6.75 (v143(constB59) <=> (~((~v88(constB59, bitIndex1)) | v88(constB59, bitIndex2) | v88(constB59, bitIndex0)))),
% 8.78/6.75 inference(unit_resolution,[status(thm)],[29794, 14770])).
% 8.78/6.75 tff(29796,plain,
% 8.78/6.75 ((~![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))) | (~(((~v88(constB59, bitIndex1)) <=> v90(constB59, bitIndex1)) | ((~v88(constB59, bitIndex2)) <=> v90(constB59, bitIndex2)) | ((~v88(constB59, bitIndex0)) <=> v90(constB59, bitIndex0))))),
% 8.78/6.75 inference(quant_inst,[status(thm)],[])).
% 8.78/6.75 tff(29797,plain,
% 8.78/6.75 (~(((~v88(constB59, bitIndex1)) <=> v90(constB59, bitIndex1)) | ((~v88(constB59, bitIndex2)) <=> v90(constB59, bitIndex2)) | ((~v88(constB59, bitIndex0)) <=> v90(constB59, bitIndex0)))),
% 8.78/6.75 inference(unit_resolution,[status(thm)],[29796, 428])).
% 8.78/6.75 tff(29798,plain,
% 8.78/6.75 ((((~v88(constB59, bitIndex1)) <=> v90(constB59, bitIndex1)) | ((~v88(constB59, bitIndex2)) <=> v90(constB59, bitIndex2)) | ((~v88(constB59, bitIndex0)) <=> v90(constB59, bitIndex0))) | (~((~v88(constB59, bitIndex2)) <=> v90(constB59, bitIndex2)))),
% 8.78/6.75 inference(tautology,[status(thm)],[])).
% 8.78/6.75 tff(29799,plain,
% 8.78/6.75 (~((~v88(constB59, bitIndex2)) <=> v90(constB59, bitIndex2))),
% 8.78/6.75 inference(unit_resolution,[status(thm)],[29798, 29797])).
% 8.78/6.75 tff(29800,plain,
% 8.78/6.75 (((~v88(constB59, bitIndex2)) <=> v90(constB59, bitIndex2)) | (~v88(constB59, bitIndex2)) | v90(constB59, bitIndex2)),
% 8.78/6.75 inference(tautology,[status(thm)],[])).
% 8.78/6.75 tff(29801,plain,
% 8.78/6.75 (~v88(constB59, bitIndex2)),
% 8.78/6.75 inference(unit_resolution,[status(thm)],[29800, 8027, 29799])).
% 8.78/6.75 tff(29802,plain,
% 8.78/6.75 ((((~v88(constB59, bitIndex1)) <=> v90(constB59, bitIndex1)) | ((~v88(constB59, bitIndex2)) <=> v90(constB59, bitIndex2)) | ((~v88(constB59, bitIndex0)) <=> v90(constB59, bitIndex0))) | (~((~v88(constB59, bitIndex0)) <=> v90(constB59, bitIndex0)))),
% 8.78/6.75 inference(tautology,[status(thm)],[])).
% 8.78/6.75 tff(29803,plain,
% 8.78/6.75 (~((~v88(constB59, bitIndex0)) <=> v90(constB59, bitIndex0))),
% 8.78/6.75 inference(unit_resolution,[status(thm)],[29802, 29797])).
% 8.78/6.75 tff(29804,plain,
% 8.78/6.75 (((~v88(constB59, bitIndex0)) <=> v90(constB59, bitIndex0)) | (~v88(constB59, bitIndex0)) | v90(constB59, bitIndex0)),
% 8.78/6.75 inference(tautology,[status(thm)],[])).
% 8.78/6.75 tff(29805,plain,
% 8.78/6.75 (~v88(constB59, bitIndex0)),
% 8.78/6.75 inference(unit_resolution,[status(thm)],[29804, 8045, 29803])).
% 8.78/6.75 tff(29806,plain,
% 8.78/6.75 ((((~v88(constB59, bitIndex1)) <=> v90(constB59, bitIndex1)) | ((~v88(constB59, bitIndex2)) <=> v90(constB59, bitIndex2)) | ((~v88(constB59, bitIndex0)) <=> v90(constB59, bitIndex0))) | (~((~v88(constB59, bitIndex1)) <=> v90(constB59, bitIndex1)))),
% 8.78/6.75 inference(tautology,[status(thm)],[])).
% 8.78/6.75 tff(29807,plain,
% 8.78/6.75 (~((~v88(constB59, bitIndex1)) <=> v90(constB59, bitIndex1))),
% 8.78/6.75 inference(unit_resolution,[status(thm)],[29806, 29797])).
% 8.78/6.75 tff(29808,plain,
% 8.78/6.75 (((~v88(constB59, bitIndex1)) <=> v90(constB59, bitIndex1)) | v88(constB59, bitIndex1) | (~v90(constB59, bitIndex1))),
% 8.78/6.75 inference(tautology,[status(thm)],[])).
% 8.78/6.75 tff(29809,plain,
% 8.78/6.75 (v88(constB59, bitIndex1)),
% 8.78/6.75 inference(unit_resolution,[status(thm)],[29808, 8063, 29807])).
% 8.78/6.75 tff(29810,plain,
% 8.78/6.75 ((~((~v88(constB59, bitIndex1)) | v88(constB59, bitIndex2) | v88(constB59, bitIndex0))) | (~v88(constB59, bitIndex1)) | v88(constB59, bitIndex2) | v88(constB59, bitIndex0)),
% 8.78/6.75 inference(tautology,[status(thm)],[])).
% 8.78/6.75 tff(29811,plain,
% 8.78/6.75 (~((~v88(constB59, bitIndex1)) | v88(constB59, bitIndex2) | v88(constB59, bitIndex0))),
% 8.78/6.75 inference(unit_resolution,[status(thm)],[29810, 29809, 29805, 29801])).
% 8.78/6.75 tff(29812,plain,
% 8.78/6.75 ((~(v143(constB59) <=> (~((~v88(constB59, bitIndex1)) | v88(constB59, bitIndex2) | v88(constB59, bitIndex0))))) | v143(constB59) | ((~v88(constB59, bitIndex1)) | v88(constB59, bitIndex2) | v88(constB59, bitIndex0))),
% 8.78/6.75 inference(tautology,[status(thm)],[])).
% 8.78/6.75 tff(29813,plain,
% 8.78/6.75 (v143(constB59)),
% 8.78/6.75 inference(unit_resolution,[status(thm)],[29812, 29811, 29795])).
% 8.78/6.75 tff(29814,plain,
% 8.78/6.75 ((v143(constB59) | v144(constB59)) | (~v143(constB59))),
% 8.78/6.75 inference(tautology,[status(thm)],[])).
% 8.78/6.75 tff(29815,plain,
% 8.78/6.75 (v143(constB59) | v144(constB59)),
% 8.78/6.75 inference(unit_resolution,[status(thm)],[29814, 29813])).
% 8.78/6.75 tff(29816,plain,
% 8.78/6.75 ((~(v142(constB59) <=> (v143(constB59) | v144(constB59)))) | v142(constB59) | (~(v143(constB59) | v144(constB59)))),
% 8.78/6.75 inference(tautology,[status(thm)],[])).
% 8.78/6.75 tff(29817,plain,
% 8.78/6.75 (v142(constB59)),
% 8.78/6.75 inference(unit_resolution,[status(thm)],[29816, 29815, 29788])).
% 8.78/6.75 tff(29818,plain,
% 8.78/6.75 ((v142(constB59) | v168(constB59)) | (~v142(constB59))),
% 8.78/6.75 inference(tautology,[status(thm)],[])).
% 8.78/6.75 tff(29819,plain,
% 8.78/6.75 (v142(constB59) | v168(constB59)),
% 8.78/6.75 inference(unit_resolution,[status(thm)],[29818, 29817])).
% 8.78/6.75 tff(29820,plain,
% 8.78/6.75 ((~(v167(constB59) <=> (v142(constB59) | v168(constB59)))) | v167(constB59) | (~(v142(constB59) | v168(constB59)))),
% 8.78/6.75 inference(tautology,[status(thm)],[])).
% 8.78/6.75 tff(29821,plain,
% 8.78/6.75 ((~(v167(constB59) <=> (v142(constB59) | v168(constB59)))) | v167(constB59)),
% 8.78/6.75 inference(unit_resolution,[status(thm)],[29820, 29819])).
% 8.78/6.75 tff(29822,plain,
% 8.78/6.75 (v167(constB59)),
% 8.78/6.75 inference(unit_resolution,[status(thm)],[29821, 29786])).
% 8.78/6.75 tff(29823,plain,
% 8.78/6.75 ((v145(constB59) | v167(constB59)) | (~v167(constB59))),
% 8.78/6.75 inference(tautology,[status(thm)],[])).
% 8.78/6.75 tff(29824,plain,
% 8.78/6.75 (v145(constB59) | v167(constB59)),
% 8.78/6.75 inference(unit_resolution,[status(thm)],[29823, 29822])).
% 8.78/6.75 tff(29825,plain,
% 8.78/6.75 ((~(v166(constB59) <=> (v145(constB59) | v167(constB59)))) | v166(constB59) | (~(v145(constB59) | v167(constB59)))),
% 8.78/6.75 inference(tautology,[status(thm)],[])).
% 8.78/6.75 tff(29826,plain,
% 8.78/6.75 (v166(constB59)),
% 8.78/6.75 inference(unit_resolution,[status(thm)],[29825, 29824, 29784])).
% 8.78/6.75 tff(29827,plain,
% 8.78/6.75 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB59)) | (v163(constB59) <=> v170(constB59)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB59)) | (v163(constB59) <=> v170(constB59)))),
% 8.78/6.75 inference(rewrite,[status(thm)],[])).
% 8.78/6.75 tff(29828,plain,
% 8.78/6.75 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB59)) | (v163(constB59) <=> v170(constB59)))),
% 8.78/6.75 inference(quant_inst,[status(thm)],[])).
% 8.78/6.75 tff(29829,plain,
% 8.78/6.75 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB59)) | (v163(constB59) <=> v170(constB59))),
% 8.78/6.75 inference(modus_ponens,[status(thm)],[29828, 29827])).
% 8.78/6.75 tff(29830,plain,
% 8.78/6.75 ((~v166(constB59)) | (v163(constB59) <=> v170(constB59))),
% 8.78/6.75 inference(unit_resolution,[status(thm)],[29829, 9851])).
% 8.78/6.75 tff(29831,plain,
% 8.78/6.75 (v163(constB59) <=> v170(constB59)),
% 8.78/6.75 inference(unit_resolution,[status(thm)],[29830, 29826])).
% 8.78/6.75 tff(29832,plain,
% 8.78/6.75 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB59) <=> (v142(constB59) | v150(constB59)))),
% 8.78/6.75 inference(quant_inst,[status(thm)],[])).
% 8.78/6.75 tff(29833,plain,
% 8.78/6.75 (v171(constB59) <=> (v142(constB59) | v150(constB59))),
% 8.78/6.75 inference(unit_resolution,[status(thm)],[29832, 9866])).
% 8.78/6.75 tff(29834,plain,
% 8.78/6.75 ((v142(constB59) | v150(constB59)) | (~v142(constB59))),
% 8.78/6.75 inference(tautology,[status(thm)],[])).
% 8.78/6.75 tff(29835,plain,
% 8.78/6.75 (v142(constB59) | v150(constB59)),
% 8.78/6.75 inference(unit_resolution,[status(thm)],[29834, 29817])).
% 8.78/6.75 tff(29836,plain,
% 8.78/6.75 ((~(v171(constB59) <=> (v142(constB59) | v150(constB59)))) | v171(constB59) | (~(v142(constB59) | v150(constB59)))),
% 8.78/6.75 inference(tautology,[status(thm)],[])).
% 8.78/6.75 tff(29837,plain,
% 8.78/6.75 ((~(v171(constB59) <=> (v142(constB59) | v150(constB59)))) | v171(constB59)),
% 8.78/6.75 inference(unit_resolution,[status(thm)],[29836, 29835])).
% 8.78/6.75 tff(29838,plain,
% 8.78/6.75 (v171(constB59)),
% 8.78/6.75 inference(unit_resolution,[status(thm)],[29837, 29833])).
% 8.78/6.75 tff(29839,plain,
% 8.78/6.75 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB59)) | (~v171(constB59)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB59)) | (~v171(constB59)))),
% 8.78/6.75 inference(rewrite,[status(thm)],[])).
% 8.78/6.75 tff(29840,plain,
% 8.78/6.75 (((~v171(constB59)) | (~v170(constB59))) <=> ((~v170(constB59)) | (~v171(constB59)))),
% 8.78/6.75 inference(rewrite,[status(thm)],[])).
% 8.78/6.75 tff(29841,plain,
% 8.78/6.75 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB59)) | (~v170(constB59)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB59)) | (~v171(constB59))))),
% 8.78/6.75 inference(monotonicity,[status(thm)],[29840])).
% 8.78/6.75 tff(29842,plain,
% 8.78/6.75 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB59)) | (~v170(constB59)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB59)) | (~v171(constB59)))),
% 8.78/6.75 inference(transitivity,[status(thm)],[29841, 29839])).
% 8.78/6.75 tff(29843,plain,
% 8.78/6.75 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB59)) | (~v170(constB59)))),
% 8.78/6.75 inference(quant_inst,[status(thm)],[])).
% 8.78/6.75 tff(29844,plain,
% 8.78/6.75 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB59)) | (~v171(constB59))),
% 8.78/6.75 inference(modus_ponens,[status(thm)],[29843, 29842])).
% 8.78/6.75 tff(29845,plain,
% 8.78/6.75 (~v170(constB59)),
% 8.78/6.75 inference(unit_resolution,[status(thm)],[29844, 9899, 29838])).
% 8.78/6.75 tff(29846,plain,
% 8.78/6.75 ((~(v163(constB59) <=> v170(constB59))) | (~v163(constB59)) | v170(constB59)),
% 8.78/6.75 inference(tautology,[status(thm)],[])).
% 8.78/6.75 tff(29847,plain,
% 8.78/6.75 (~v163(constB59)),
% 8.78/6.75 inference(unit_resolution,[status(thm)],[29846, 29845, 29831])).
% 8.78/6.75 tff(29848,plain,
% 8.78/6.75 ((~(v161(constB59) <=> v163(constB59))) | (~v161(constB59)) | v163(constB59)),
% 8.78/6.75 inference(tautology,[status(thm)],[])).
% 8.78/6.75 tff(29849,plain,
% 8.78/6.75 (~v161(constB59)),
% 8.78/6.75 inference(unit_resolution,[status(thm)],[29848, 29847, 29782])).
% 8.78/6.75 tff(29850,plain,
% 8.78/6.75 (((~v159(constB59)) | (~v161(constB59))) | v161(constB59)),
% 8.78/6.75 inference(tautology,[status(thm)],[])).
% 8.78/6.75 tff(29851,plain,
% 8.78/6.75 ((~v159(constB59)) | (~v161(constB59))),
% 8.78/6.75 inference(unit_resolution,[status(thm)],[29850, 29849])).
% 8.78/6.75 tff(29852,plain,
% 8.78/6.75 ((~(v201(constB59) <=> (~((~v159(constB59)) | (~v161(constB59)))))) | (~v201(constB59)) | (~((~v159(constB59)) | (~v161(constB59))))),
% 8.78/6.75 inference(tautology,[status(thm)],[])).
% 8.78/6.75 tff(29853,plain,
% 8.78/6.75 (~v201(constB59)),
% 8.78/6.75 inference(unit_resolution,[status(thm)],[29852, 29851, 29780])).
% 8.78/6.75 tff(29854,plain,
% 8.78/6.75 (((~v197(constB59)) | (~v201(constB59))) | v201(constB59)),
% 8.78/6.75 inference(tautology,[status(thm)],[])).
% 8.78/6.75 tff(29855,plain,
% 8.78/6.75 ((~v197(constB59)) | (~v201(constB59))),
% 8.78/6.75 inference(unit_resolution,[status(thm)],[29854, 29853])).
% 8.78/6.75 tff(29856,plain,
% 8.78/6.75 ((~(v200(constB59) <=> (~((~v197(constB59)) | (~v201(constB59)))))) | (~v200(constB59)) | (~((~v197(constB59)) | (~v201(constB59))))),
% 8.78/6.75 inference(tautology,[status(thm)],[])).
% 8.78/6.75 tff(29857,plain,
% 8.78/6.75 (~v200(constB59)),
% 8.78/6.75 inference(unit_resolution,[status(thm)],[29856, 29855, 29778])).
% 8.78/6.75 tff(29858,plain,
% 8.78/6.75 (((~v199(constB59)) | (~v200(constB59))) | v200(constB59)),
% 8.78/6.75 inference(tautology,[status(thm)],[])).
% 8.78/6.75 tff(29859,plain,
% 8.78/6.75 ((~v199(constB59)) | (~v200(constB59))),
% 8.78/6.75 inference(unit_resolution,[status(thm)],[29858, 29857])).
% 8.78/6.75 tff(29860,plain,
% 8.78/6.75 ((~(v198(constB59) <=> (~((~v199(constB59)) | (~v200(constB59)))))) | (~v198(constB59)) | (~((~v199(constB59)) | (~v200(constB59))))),
% 8.78/6.75 inference(tautology,[status(thm)],[])).
% 8.78/6.75 tff(29861,plain,
% 8.78/6.75 (~v198(constB59)),
% 8.78/6.75 inference(unit_resolution,[status(thm)],[29860, 29859, 29776])).
% 8.78/6.75 tff(29862,plain,
% 8.78/6.75 ((~(v194(constB59) | v198(constB59))) | v194(constB59) | v198(constB59)),
% 8.78/6.75 inference(tautology,[status(thm)],[])).
% 8.78/6.75 tff(29863,plain,
% 8.78/6.75 (~(v194(constB59) | v198(constB59))),
% 8.78/6.75 inference(unit_resolution,[status(thm)],[29862, 29861, 29774])).
% 8.78/6.75 tff(29864,plain,
% 8.78/6.75 ((~(v191(constB59) <=> (v194(constB59) | v198(constB59)))) | (~v191(constB59)) | (v194(constB59) | v198(constB59))),
% 8.78/6.75 inference(tautology,[status(thm)],[])).
% 8.78/6.75 tff(29865,plain,
% 8.78/6.75 (~v191(constB59)),
% 8.78/6.75 inference(unit_resolution,[status(thm)],[29864, 29863, 29701])).
% 8.78/6.75 tff(29866,plain,
% 8.78/6.75 ((~(v193(constB60) <=> v191(constB59))) | (~v193(constB60)) | v191(constB59)),
% 8.78/6.75 inference(tautology,[status(thm)],[])).
% 8.78/6.75 tff(29867,plain,
% 8.78/6.75 (~v193(constB60)),
% 8.78/6.75 inference(unit_resolution,[status(thm)],[29866, 29865, 29699])).
% 8.78/6.75 tff(29868,plain,
% 8.78/6.75 ((~(v157(constB60) <=> v193(constB60))) | (~v157(constB60)) | v193(constB60)),
% 8.78/6.75 inference(tautology,[status(thm)],[])).
% 8.78/6.75 tff(29869,plain,
% 8.78/6.75 (~v157(constB60)),
% 8.78/6.75 inference(unit_resolution,[status(thm)],[29868, 29867, 29695])).
% 8.78/6.75 tff(29870,plain,
% 8.78/6.75 (((~v157(constB60)) | (~v195(constB60))) | v157(constB60)),
% 8.78/6.75 inference(tautology,[status(thm)],[])).
% 8.78/6.75 tff(29871,plain,
% 8.78/6.75 ((~v157(constB60)) | (~v195(constB60))),
% 8.78/6.75 inference(unit_resolution,[status(thm)],[29870, 29869])).
% 8.78/6.75 tff(29872,plain,
% 8.78/6.75 ((~(v194(constB60) <=> (~((~v157(constB60)) | (~v195(constB60)))))) | (~v194(constB60)) | (~((~v157(constB60)) | (~v195(constB60))))),
% 8.78/6.75 inference(tautology,[status(thm)],[])).
% 8.78/6.75 tff(29873,plain,
% 8.78/6.75 (~v194(constB60)),
% 8.78/6.75 inference(unit_resolution,[status(thm)],[29872, 29871, 29693])).
% 8.78/6.75 tff(29874,plain,
% 8.78/6.75 ((~(v194(constB60) | v198(constB60))) | v194(constB60) | v198(constB60)),
% 8.78/6.75 inference(tautology,[status(thm)],[])).
% 8.78/6.75 tff(29875,plain,
% 8.78/6.75 (~(v194(constB60) | v198(constB60))),
% 8.78/6.75 inference(unit_resolution,[status(thm)],[29874, 29873, 29686])).
% 8.78/6.75 tff(29876,plain,
% 8.78/6.75 ((~(v191(constB60) <=> (v194(constB60) | v198(constB60)))) | (~v191(constB60)) | (v194(constB60) | v198(constB60))),
% 8.78/6.75 inference(tautology,[status(thm)],[])).
% 8.78/6.75 tff(29877,plain,
% 8.78/6.75 (~v191(constB60)),
% 8.78/6.75 inference(unit_resolution,[status(thm)],[29876, 29875, 29661])).
% 8.78/6.75 tff(29878,plain,
% 8.78/6.75 ((~(v193(constB61) <=> v191(constB60))) | (~v193(constB61)) | v191(constB60)),
% 8.78/6.75 inference(tautology,[status(thm)],[])).
% 8.78/6.75 tff(29879,plain,
% 8.78/6.75 (~v193(constB61)),
% 8.78/6.75 inference(unit_resolution,[status(thm)],[29878, 29877, 29659])).
% 8.78/6.75 tff(29880,plain,
% 8.78/6.75 ($false),
% 8.78/6.75 inference(unit_resolution,[status(thm)],[29879, 29655])).
% 8.78/6.75 tff(29881,plain,(~(constB61 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.78/6.75 tff(29882,assumption,(constB199 = VarCurr!0), introduced(assumption)).
% 8.78/6.75 tff(29883,plain,
% 8.78/6.75 (v86(constB199) <=> v86(VarCurr!0)),
% 8.78/6.75 inference(monotonicity,[status(thm)],[29882])).
% 8.78/6.75 tff(29884,plain,
% 8.78/6.75 (v86(VarCurr!0) <=> v86(constB199)),
% 8.78/6.75 inference(symmetry,[status(thm)],[29883])).
% 8.78/6.75 tff(29885,plain,
% 8.78/6.75 ((~v86(VarCurr!0)) <=> (~v86(constB199))),
% 8.78/6.75 inference(monotonicity,[status(thm)],[29884])).
% 8.78/6.75 tff(29886,plain,
% 8.78/6.75 (~v86(constB199)),
% 8.78/6.75 inference(modus_ponens,[status(thm)],[14736, 29885])).
% 8.78/6.75 tff(29887,plain,
% 8.78/6.75 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB199) <=> (v136(constB199) | v145(constB199)))),
% 8.78/6.75 inference(quant_inst,[status(thm)],[])).
% 8.78/6.75 tff(29888,plain,
% 8.78/6.75 (v135(constB199) <=> (v136(constB199) | v145(constB199))),
% 8.78/6.75 inference(unit_resolution,[status(thm)],[29887, 14744])).
% 8.78/6.75 tff(29889,plain,
% 8.78/6.75 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB199) <=> (v137(constB199) | v142(constB199)))),
% 8.78/6.75 inference(quant_inst,[status(thm)],[])).
% 8.78/6.75 tff(29890,plain,
% 8.78/6.75 (v136(constB199) <=> (v137(constB199) | v142(constB199))),
% 8.78/6.75 inference(unit_resolution,[status(thm)],[29889, 14753])).
% 8.78/6.75 tff(29891,plain,
% 8.78/6.75 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB199) <=> (v143(constB199) | v144(constB199)))),
% 8.78/6.75 inference(quant_inst,[status(thm)],[])).
% 8.78/6.75 tff(29892,plain,
% 8.78/6.75 (v142(constB199) <=> (v143(constB199) | v144(constB199))),
% 8.78/6.75 inference(unit_resolution,[status(thm)],[29891, 10332])).
% 8.78/6.75 tff(29893,plain,
% 8.78/6.75 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB199) <=> (~((~v88(constB199, bitIndex1)) | v88(constB199, bitIndex2) | v88(constB199, bitIndex0))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB199) <=> (~((~v88(constB199, bitIndex1)) | v88(constB199, bitIndex2) | v88(constB199, bitIndex0)))))),
% 8.78/6.75 inference(rewrite,[status(thm)],[])).
% 8.78/6.75 tff(29894,plain,
% 8.78/6.75 ((v143(constB199) <=> (~(v88(constB199, bitIndex0) | v88(constB199, bitIndex2) | (~v88(constB199, bitIndex1))))) <=> (v143(constB199) <=> (~((~v88(constB199, bitIndex1)) | v88(constB199, bitIndex2) | v88(constB199, bitIndex0))))),
% 8.78/6.75 inference(rewrite,[status(thm)],[])).
% 8.78/6.75 tff(29895,plain,
% 8.78/6.75 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB199) <=> (~(v88(constB199, bitIndex0) | v88(constB199, bitIndex2) | (~v88(constB199, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB199) <=> (~((~v88(constB199, bitIndex1)) | v88(constB199, bitIndex2) | v88(constB199, bitIndex0)))))),
% 8.78/6.75 inference(monotonicity,[status(thm)],[29894])).
% 8.78/6.75 tff(29896,plain,
% 8.78/6.75 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB199) <=> (~(v88(constB199, bitIndex0) | v88(constB199, bitIndex2) | (~v88(constB199, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB199) <=> (~((~v88(constB199, bitIndex1)) | v88(constB199, bitIndex2) | v88(constB199, bitIndex0)))))),
% 8.78/6.75 inference(transitivity,[status(thm)],[29895, 29893])).
% 8.78/6.75 tff(29897,plain,
% 8.78/6.75 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB199) <=> (~(v88(constB199, bitIndex0) | v88(constB199, bitIndex2) | (~v88(constB199, bitIndex1)))))),
% 8.78/6.75 inference(quant_inst,[status(thm)],[])).
% 8.78/6.75 tff(29898,plain,
% 8.78/6.75 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB199) <=> (~((~v88(constB199, bitIndex1)) | v88(constB199, bitIndex2) | v88(constB199, bitIndex0))))),
% 8.78/6.75 inference(modus_ponens,[status(thm)],[29897, 29896])).
% 8.78/6.75 tff(29899,plain,
% 8.78/6.75 (v143(constB199) <=> (~((~v88(constB199, bitIndex1)) | v88(constB199, bitIndex2) | v88(constB199, bitIndex0)))),
% 8.78/6.75 inference(unit_resolution,[status(thm)],[29898, 14770])).
% 8.78/6.75 tff(29900,plain,
% 8.78/6.75 ((~![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))) | (~(((~v88(constB199, bitIndex1)) <=> v90(constB199, bitIndex1)) | ((~v88(constB199, bitIndex2)) <=> v90(constB199, bitIndex2)) | ((~v88(constB199, bitIndex0)) <=> v90(constB199, bitIndex0))))),
% 8.78/6.75 inference(quant_inst,[status(thm)],[])).
% 8.78/6.75 tff(29901,plain,
% 8.78/6.75 (~(((~v88(constB199, bitIndex1)) <=> v90(constB199, bitIndex1)) | ((~v88(constB199, bitIndex2)) <=> v90(constB199, bitIndex2)) | ((~v88(constB199, bitIndex0)) <=> v90(constB199, bitIndex0)))),
% 8.78/6.75 inference(unit_resolution,[status(thm)],[29900, 428])).
% 8.78/6.75 tff(29902,plain,
% 8.78/6.75 ((((~v88(constB199, bitIndex1)) <=> v90(constB199, bitIndex1)) | ((~v88(constB199, bitIndex2)) <=> v90(constB199, bitIndex2)) | ((~v88(constB199, bitIndex0)) <=> v90(constB199, bitIndex0))) | (~((~v88(constB199, bitIndex2)) <=> v90(constB199, bitIndex2)))),
% 8.78/6.75 inference(tautology,[status(thm)],[])).
% 8.78/6.75 tff(29903,plain,
% 8.78/6.75 (~((~v88(constB199, bitIndex2)) <=> v90(constB199, bitIndex2))),
% 8.78/6.75 inference(unit_resolution,[status(thm)],[29902, 29901])).
% 8.78/6.75 tff(29904,plain,
% 8.78/6.75 (nextState(constB198, constB199) <=> nextState(constB198, constB199)),
% 8.78/6.75 inference(rewrite,[status(thm)],[])).
% 8.78/6.75 tff(29905,axiom,(nextState(constB198, constB199)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_198')).
% 8.78/6.75 tff(29906,plain,
% 8.78/6.75 (nextState(constB198, constB199)),
% 8.78/6.75 inference(modus_ponens,[status(thm)],[29905, 29904])).
% 8.78/6.75 tff(29907,plain,
% 8.78/6.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB198, constB199)) | (v100(constB199) <=> (~((~v101(constB199)) | (~v110(constB199))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB198, constB199)) | (v100(constB199) <=> (~((~v101(constB199)) | (~v110(constB199))))))),
% 8.78/6.75 inference(rewrite,[status(thm)],[])).
% 8.78/6.75 tff(29908,plain,
% 8.78/6.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB198, constB199)) | (v100(constB199) <=> (~((~v101(constB199)) | (~v110(constB199))))))),
% 8.78/6.75 inference(quant_inst,[status(thm)],[])).
% 8.78/6.75 tff(29909,plain,
% 8.78/6.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB198, constB199)) | (v100(constB199) <=> (~((~v101(constB199)) | (~v110(constB199)))))),
% 8.78/6.75 inference(modus_ponens,[status(thm)],[29908, 29907])).
% 8.78/6.75 tff(29910,plain,
% 8.78/6.75 (v100(constB199) <=> (~((~v101(constB199)) | (~v110(constB199))))),
% 8.78/6.75 inference(unit_resolution,[status(thm)],[29909, 29906, 445])).
% 8.78/6.75 tff(29911,plain,
% 8.78/6.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB198, constB199)) | (v101(constB199) <=> (~((~v1(constB199)) | (~v102(constB199))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB198, constB199)) | (v101(constB199) <=> (~((~v1(constB199)) | (~v102(constB199))))))),
% 8.78/6.75 inference(rewrite,[status(thm)],[])).
% 8.78/6.75 tff(29912,plain,
% 8.78/6.75 (((~nextState(constB198, constB199)) | (v101(constB199) <=> (~((~v102(constB199)) | (~v1(constB199)))))) <=> ((~nextState(constB198, constB199)) | (v101(constB199) <=> (~((~v1(constB199)) | (~v102(constB199))))))),
% 8.78/6.75 inference(rewrite,[status(thm)],[])).
% 8.78/6.75 tff(29913,plain,
% 8.78/6.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB198, constB199)) | (v101(constB199) <=> (~((~v102(constB199)) | (~v1(constB199))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB198, constB199)) | (v101(constB199) <=> (~((~v1(constB199)) | (~v102(constB199)))))))),
% 8.78/6.75 inference(monotonicity,[status(thm)],[29912])).
% 8.78/6.75 tff(29914,plain,
% 8.78/6.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB198, constB199)) | (v101(constB199) <=> (~((~v102(constB199)) | (~v1(constB199))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB198, constB199)) | (v101(constB199) <=> (~((~v1(constB199)) | (~v102(constB199))))))),
% 8.78/6.75 inference(transitivity,[status(thm)],[29913, 29911])).
% 8.78/6.75 tff(29915,plain,
% 8.78/6.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB198, constB199)) | (v101(constB199) <=> (~((~v102(constB199)) | (~v1(constB199))))))),
% 8.78/6.75 inference(quant_inst,[status(thm)],[])).
% 8.78/6.75 tff(29916,plain,
% 8.78/6.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB198, constB199)) | (v101(constB199) <=> (~((~v1(constB199)) | (~v102(constB199)))))),
% 8.78/6.75 inference(modus_ponens,[status(thm)],[29915, 29914])).
% 8.78/6.75 tff(29917,plain,
% 8.78/6.75 (v101(constB199) <=> (~((~v1(constB199)) | (~v102(constB199))))),
% 8.78/6.75 inference(unit_resolution,[status(thm)],[29916, 29906, 465])).
% 8.78/6.75 tff(29918,plain,
% 8.78/6.75 ((~v1(constB199)) <=> (~v1(constB199))),
% 8.78/6.75 inference(rewrite,[status(thm)],[])).
% 8.78/6.75 tff(29919,axiom,(~v1(constB199)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_199')).
% 8.78/6.75 tff(29920,plain,
% 8.78/6.75 (~v1(constB199)),
% 8.78/6.75 inference(modus_ponens,[status(thm)],[29919, 29918])).
% 8.78/6.75 tff(29921,plain,
% 8.78/6.75 (((~v1(constB199)) | (~v102(constB199))) | v1(constB199)),
% 8.78/6.76 inference(tautology,[status(thm)],[])).
% 8.78/6.76 tff(29922,plain,
% 8.78/6.76 ((~v1(constB199)) | (~v102(constB199))),
% 8.78/6.76 inference(unit_resolution,[status(thm)],[29921, 29920])).
% 8.78/6.76 tff(29923,plain,
% 8.78/6.76 ((~(v101(constB199) <=> (~((~v1(constB199)) | (~v102(constB199)))))) | (~v101(constB199)) | (~((~v1(constB199)) | (~v102(constB199))))),
% 8.78/6.76 inference(tautology,[status(thm)],[])).
% 8.78/6.76 tff(29924,plain,
% 8.78/6.76 ((~(v101(constB199) <=> (~((~v1(constB199)) | (~v102(constB199)))))) | (~v101(constB199))),
% 8.78/6.76 inference(unit_resolution,[status(thm)],[29923, 29922])).
% 8.78/6.76 tff(29925,plain,
% 8.78/6.76 (~v101(constB199)),
% 8.78/6.76 inference(unit_resolution,[status(thm)],[29924, 29917])).
% 8.78/6.76 tff(29926,plain,
% 8.78/6.76 (((~v101(constB199)) | (~v110(constB199))) | v101(constB199)),
% 8.78/6.76 inference(tautology,[status(thm)],[])).
% 8.78/6.76 tff(29927,plain,
% 8.78/6.76 ((~v101(constB199)) | (~v110(constB199))),
% 8.78/6.76 inference(unit_resolution,[status(thm)],[29926, 29925])).
% 8.78/6.76 tff(29928,plain,
% 8.78/6.76 ((~(v100(constB199) <=> (~((~v101(constB199)) | (~v110(constB199)))))) | (~v100(constB199)) | (~((~v101(constB199)) | (~v110(constB199))))),
% 8.78/6.76 inference(tautology,[status(thm)],[])).
% 8.78/6.76 tff(29929,plain,
% 8.78/6.76 (~v100(constB199)),
% 8.78/6.76 inference(unit_resolution,[status(thm)],[29928, 29927, 29910])).
% 8.78/6.76 tff(29930,plain,
% 8.78/6.76 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB199) | (~nextState(constB198, constB199)) | (~(((~v90(constB199, bitIndex1)) <=> v90(constB198, bitIndex1)) | ((~v90(constB199, bitIndex2)) <=> v90(constB198, bitIndex2)) | ((~v90(constB199, bitIndex0)) <=> v90(constB198, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB199) | (~nextState(constB198, constB199)) | (~(((~v90(constB199, bitIndex1)) <=> v90(constB198, bitIndex1)) | ((~v90(constB199, bitIndex2)) <=> v90(constB198, bitIndex2)) | ((~v90(constB199, bitIndex0)) <=> v90(constB198, bitIndex0)))))),
% 8.78/6.76 inference(rewrite,[status(thm)],[])).
% 8.78/6.76 tff(29931,plain,
% 8.78/6.76 ((v100(constB199) | (~nextState(constB198, constB199)) | (~(((~v90(constB199, bitIndex2)) <=> v90(constB198, bitIndex2)) | ((~v90(constB199, bitIndex1)) <=> v90(constB198, bitIndex1)) | ((~v90(constB199, bitIndex0)) <=> v90(constB198, bitIndex0))))) <=> (v100(constB199) | (~nextState(constB198, constB199)) | (~(((~v90(constB199, bitIndex1)) <=> v90(constB198, bitIndex1)) | ((~v90(constB199, bitIndex2)) <=> v90(constB198, bitIndex2)) | ((~v90(constB199, bitIndex0)) <=> v90(constB198, bitIndex0)))))),
% 8.78/6.76 inference(rewrite,[status(thm)],[])).
% 8.78/6.76 tff(29932,plain,
% 8.78/6.76 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB199) | (~nextState(constB198, constB199)) | (~(((~v90(constB199, bitIndex2)) <=> v90(constB198, bitIndex2)) | ((~v90(constB199, bitIndex1)) <=> v90(constB198, bitIndex1)) | ((~v90(constB199, bitIndex0)) <=> v90(constB198, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB199) | (~nextState(constB198, constB199)) | (~(((~v90(constB199, bitIndex1)) <=> v90(constB198, bitIndex1)) | ((~v90(constB199, bitIndex2)) <=> v90(constB198, bitIndex2)) | ((~v90(constB199, bitIndex0)) <=> v90(constB198, bitIndex0))))))),
% 8.78/6.76 inference(monotonicity,[status(thm)],[29931])).
% 8.78/6.76 tff(29933,plain,
% 8.78/6.76 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB199) | (~nextState(constB198, constB199)) | (~(((~v90(constB199, bitIndex2)) <=> v90(constB198, bitIndex2)) | ((~v90(constB199, bitIndex1)) <=> v90(constB198, bitIndex1)) | ((~v90(constB199, bitIndex0)) <=> v90(constB198, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB199) | (~nextState(constB198, constB199)) | (~(((~v90(constB199, bitIndex1)) <=> v90(constB198, bitIndex1)) | ((~v90(constB199, bitIndex2)) <=> v90(constB198, bitIndex2)) | ((~v90(constB199, bitIndex0)) <=> v90(constB198, bitIndex0)))))),
% 8.78/6.76 inference(transitivity,[status(thm)],[29932, 29930])).
% 8.78/6.76 tff(29934,plain,
% 8.78/6.76 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB199) | (~nextState(constB198, constB199)) | (~(((~v90(constB199, bitIndex2)) <=> v90(constB198, bitIndex2)) | ((~v90(constB199, bitIndex1)) <=> v90(constB198, bitIndex1)) | ((~v90(constB199, bitIndex0)) <=> v90(constB198, bitIndex0)))))),
% 8.78/6.76 inference(quant_inst,[status(thm)],[])).
% 8.78/6.76 tff(29935,plain,
% 8.78/6.76 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB199) | (~nextState(constB198, constB199)) | (~(((~v90(constB199, bitIndex1)) <=> v90(constB198, bitIndex1)) | ((~v90(constB199, bitIndex2)) <=> v90(constB198, bitIndex2)) | ((~v90(constB199, bitIndex0)) <=> v90(constB198, bitIndex0))))),
% 8.78/6.76 inference(modus_ponens,[status(thm)],[29934, 29933])).
% 8.78/6.76 tff(29936,plain,
% 8.78/6.76 (v100(constB199) | (~(((~v90(constB199, bitIndex1)) <=> v90(constB198, bitIndex1)) | ((~v90(constB199, bitIndex2)) <=> v90(constB198, bitIndex2)) | ((~v90(constB199, bitIndex0)) <=> v90(constB198, bitIndex0))))),
% 8.78/6.76 inference(unit_resolution,[status(thm)],[29935, 29906, 494])).
% 8.78/6.76 tff(29937,plain,
% 8.78/6.76 (~(((~v90(constB199, bitIndex1)) <=> v90(constB198, bitIndex1)) | ((~v90(constB199, bitIndex2)) <=> v90(constB198, bitIndex2)) | ((~v90(constB199, bitIndex0)) <=> v90(constB198, bitIndex0)))),
% 8.78/6.76 inference(unit_resolution,[status(thm)],[29936, 29929])).
% 8.78/6.76 tff(29938,plain,
% 8.78/6.76 ((((~v90(constB199, bitIndex1)) <=> v90(constB198, bitIndex1)) | ((~v90(constB199, bitIndex2)) <=> v90(constB198, bitIndex2)) | ((~v90(constB199, bitIndex0)) <=> v90(constB198, bitIndex0))) | (~((~v90(constB199, bitIndex2)) <=> v90(constB198, bitIndex2)))),
% 8.78/6.76 inference(tautology,[status(thm)],[])).
% 8.78/6.76 tff(29939,plain,
% 8.78/6.76 (~((~v90(constB199, bitIndex2)) <=> v90(constB198, bitIndex2))),
% 8.78/6.76 inference(unit_resolution,[status(thm)],[29938, 29937])).
% 8.78/6.76 tff(29940,plain,
% 8.78/6.76 (nextState(constB197, constB198) <=> nextState(constB197, constB198)),
% 8.78/6.76 inference(rewrite,[status(thm)],[])).
% 8.78/6.76 tff(29941,axiom,(nextState(constB197, constB198)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_197')).
% 8.78/6.76 tff(29942,plain,
% 8.78/6.76 (nextState(constB197, constB198)),
% 8.78/6.76 inference(modus_ponens,[status(thm)],[29941, 29940])).
% 8.78/6.76 tff(29943,plain,
% 8.78/6.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB197, constB198)) | (~(((~v129(constB198, bitIndex2)) <=> v127(constB197, bitIndex2)) | ((~v129(constB198, bitIndex1)) <=> v127(constB197, bitIndex1)) | ((~v129(constB198, bitIndex0)) <=> v127(constB197, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB197, constB198)) | (~(((~v129(constB198, bitIndex2)) <=> v127(constB197, bitIndex2)) | ((~v129(constB198, bitIndex1)) <=> v127(constB197, bitIndex1)) | ((~v129(constB198, bitIndex0)) <=> v127(constB197, bitIndex0)))))),
% 8.78/6.76 inference(rewrite,[status(thm)],[])).
% 8.78/6.76 tff(29944,plain,
% 8.78/6.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB197, constB198)) | (~(((~v129(constB198, bitIndex2)) <=> v127(constB197, bitIndex2)) | ((~v129(constB198, bitIndex1)) <=> v127(constB197, bitIndex1)) | ((~v129(constB198, bitIndex0)) <=> v127(constB197, bitIndex0)))))),
% 8.78/6.76 inference(quant_inst,[status(thm)],[])).
% 8.78/6.76 tff(29945,plain,
% 8.78/6.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB197, constB198)) | (~(((~v129(constB198, bitIndex2)) <=> v127(constB197, bitIndex2)) | ((~v129(constB198, bitIndex1)) <=> v127(constB197, bitIndex1)) | ((~v129(constB198, bitIndex0)) <=> v127(constB197, bitIndex0))))),
% 8.78/6.76 inference(modus_ponens,[status(thm)],[29944, 29943])).
% 8.78/6.76 tff(29946,plain,
% 8.78/6.76 (~(((~v129(constB198, bitIndex2)) <=> v127(constB197, bitIndex2)) | ((~v129(constB198, bitIndex1)) <=> v127(constB197, bitIndex1)) | ((~v129(constB198, bitIndex0)) <=> v127(constB197, bitIndex0)))),
% 8.78/6.76 inference(unit_resolution,[status(thm)],[29945, 29942, 517])).
% 8.78/6.76 tff(29947,plain,
% 8.78/6.76 ((((~v129(constB198, bitIndex2)) <=> v127(constB197, bitIndex2)) | ((~v129(constB198, bitIndex1)) <=> v127(constB197, bitIndex1)) | ((~v129(constB198, bitIndex0)) <=> v127(constB197, bitIndex0))) | (~((~v129(constB198, bitIndex2)) <=> v127(constB197, bitIndex2)))),
% 8.78/6.76 inference(tautology,[status(thm)],[])).
% 8.78/6.76 tff(29948,plain,
% 8.78/6.76 (~((~v129(constB198, bitIndex2)) <=> v127(constB197, bitIndex2))),
% 8.78/6.76 inference(unit_resolution,[status(thm)],[29947, 29946])).
% 8.78/6.76 tff(29949,plain,
% 8.78/6.76 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB197) <=> v26(constB197))),
% 8.78/6.76 inference(quant_inst,[status(thm)],[])).
% 8.78/6.76 tff(29950,plain,
% 8.78/6.76 (v111(constB197) <=> v26(constB197)),
% 8.78/6.76 inference(unit_resolution,[status(thm)],[29949, 536])).
% 8.78/6.76 tff(29951,plain,
% 8.78/6.76 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB197))),
% 8.78/6.76 inference(quant_inst,[status(thm)],[])).
% 8.78/6.76 tff(29952,plain,
% 8.78/6.76 (~v26(constB197)),
% 8.78/6.76 inference(unit_resolution,[status(thm)],[29951, 548])).
% 8.78/6.76 tff(29953,plain,
% 8.78/6.76 ((~(v111(constB197) <=> v26(constB197))) | (~v111(constB197)) | v26(constB197)),
% 8.78/6.76 inference(tautology,[status(thm)],[])).
% 8.78/6.76 tff(29954,plain,
% 8.78/6.76 ((~(v111(constB197) <=> v26(constB197))) | (~v111(constB197))),
% 8.78/6.76 inference(unit_resolution,[status(thm)],[29953, 29952])).
% 8.78/6.76 tff(29955,plain,
% 8.78/6.76 (~v111(constB197)),
% 8.78/6.76 inference(unit_resolution,[status(thm)],[29954, 29950])).
% 8.78/6.76 tff(29956,plain,
% 8.78/6.76 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB197) | (~(((~v127(constB197, bitIndex2)) <=> v130(constB197, bitIndex2)) | ((~v127(constB197, bitIndex1)) <=> v130(constB197, bitIndex1)) | ((~v127(constB197, bitIndex0)) <=> v130(constB197, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB197) | (~(((~v127(constB197, bitIndex2)) <=> v130(constB197, bitIndex2)) | ((~v127(constB197, bitIndex1)) <=> v130(constB197, bitIndex1)) | ((~v127(constB197, bitIndex0)) <=> v130(constB197, bitIndex0)))))),
% 8.78/6.76 inference(rewrite,[status(thm)],[])).
% 8.78/6.76 tff(29957,plain,
% 8.78/6.76 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB197) | (~(((~v127(constB197, bitIndex2)) <=> v130(constB197, bitIndex2)) | ((~v127(constB197, bitIndex1)) <=> v130(constB197, bitIndex1)) | ((~v127(constB197, bitIndex0)) <=> v130(constB197, bitIndex0)))))),
% 8.78/6.76 inference(quant_inst,[status(thm)],[])).
% 8.78/6.76 tff(29958,plain,
% 8.78/6.76 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB197) | (~(((~v127(constB197, bitIndex2)) <=> v130(constB197, bitIndex2)) | ((~v127(constB197, bitIndex1)) <=> v130(constB197, bitIndex1)) | ((~v127(constB197, bitIndex0)) <=> v130(constB197, bitIndex0))))),
% 8.78/6.76 inference(modus_ponens,[status(thm)],[29957, 29956])).
% 8.78/6.76 tff(29959,plain,
% 8.78/6.76 (v111(constB197) | (~(((~v127(constB197, bitIndex2)) <=> v130(constB197, bitIndex2)) | ((~v127(constB197, bitIndex1)) <=> v130(constB197, bitIndex1)) | ((~v127(constB197, bitIndex0)) <=> v130(constB197, bitIndex0))))),
% 8.78/6.76 inference(unit_resolution,[status(thm)],[29958, 566])).
% 8.78/6.76 tff(29960,plain,
% 8.78/6.76 (~(((~v127(constB197, bitIndex2)) <=> v130(constB197, bitIndex2)) | ((~v127(constB197, bitIndex1)) <=> v130(constB197, bitIndex1)) | ((~v127(constB197, bitIndex0)) <=> v130(constB197, bitIndex0)))),
% 8.78/6.76 inference(unit_resolution,[status(thm)],[29959, 29955])).
% 8.78/6.76 tff(29961,plain,
% 8.78/6.76 ((((~v127(constB197, bitIndex2)) <=> v130(constB197, bitIndex2)) | ((~v127(constB197, bitIndex1)) <=> v130(constB197, bitIndex1)) | ((~v127(constB197, bitIndex0)) <=> v130(constB197, bitIndex0))) | (~((~v127(constB197, bitIndex2)) <=> v130(constB197, bitIndex2)))),
% 8.78/6.76 inference(tautology,[status(thm)],[])).
% 8.78/6.76 tff(29962,plain,
% 8.78/6.76 (~((~v127(constB197, bitIndex2)) <=> v130(constB197, bitIndex2))),
% 8.78/6.76 inference(unit_resolution,[status(thm)],[29961, 29960])).
% 8.78/6.76 tff(29963,plain,
% 8.78/6.76 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB197) <=> (~(v90(constB197, bitIndex1) | v90(constB197, bitIndex2) | (~v90(constB197, bitIndex0)))))),
% 8.78/6.76 inference(quant_inst,[status(thm)],[])).
% 8.78/6.76 tff(29964,plain,
% 8.78/6.76 (v120(constB197) <=> (~(v90(constB197, bitIndex1) | v90(constB197, bitIndex2) | (~v90(constB197, bitIndex0))))),
% 8.78/6.76 inference(unit_resolution,[status(thm)],[29963, 665])).
% 8.78/6.76 tff(29965,plain,
% 8.78/6.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB196, constB197)) | (v100(constB197) <=> (~((~v101(constB197)) | (~v110(constB197))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB196, constB197)) | (v100(constB197) <=> (~((~v101(constB197)) | (~v110(constB197))))))),
% 8.78/6.76 inference(rewrite,[status(thm)],[])).
% 8.78/6.76 tff(29966,plain,
% 8.78/6.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB196, constB197)) | (v100(constB197) <=> (~((~v101(constB197)) | (~v110(constB197))))))),
% 8.78/6.76 inference(quant_inst,[status(thm)],[])).
% 8.78/6.76 tff(29967,plain,
% 8.78/6.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB196, constB197)) | (v100(constB197) <=> (~((~v101(constB197)) | (~v110(constB197)))))),
% 8.78/6.76 inference(modus_ponens,[status(thm)],[29966, 29965])).
% 8.78/6.76 tff(29968,plain,
% 8.78/6.76 (v100(constB197) <=> (~((~v101(constB197)) | (~v110(constB197))))),
% 8.78/6.76 inference(unit_resolution,[status(thm)],[29967, 14848, 445])).
% 8.78/6.76 tff(29969,plain,
% 8.78/6.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB196, constB197)) | (v101(constB197) <=> (~((~v1(constB197)) | (~v102(constB197))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB196, constB197)) | (v101(constB197) <=> (~((~v1(constB197)) | (~v102(constB197))))))),
% 8.78/6.76 inference(rewrite,[status(thm)],[])).
% 8.78/6.76 tff(29970,plain,
% 8.78/6.76 (((~nextState(constB196, constB197)) | (v101(constB197) <=> (~((~v102(constB197)) | (~v1(constB197)))))) <=> ((~nextState(constB196, constB197)) | (v101(constB197) <=> (~((~v1(constB197)) | (~v102(constB197))))))),
% 8.78/6.76 inference(rewrite,[status(thm)],[])).
% 8.78/6.76 tff(29971,plain,
% 8.78/6.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB196, constB197)) | (v101(constB197) <=> (~((~v102(constB197)) | (~v1(constB197))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB196, constB197)) | (v101(constB197) <=> (~((~v1(constB197)) | (~v102(constB197)))))))),
% 8.78/6.76 inference(monotonicity,[status(thm)],[29970])).
% 8.78/6.76 tff(29972,plain,
% 8.78/6.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB196, constB197)) | (v101(constB197) <=> (~((~v102(constB197)) | (~v1(constB197))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB196, constB197)) | (v101(constB197) <=> (~((~v1(constB197)) | (~v102(constB197))))))),
% 8.78/6.76 inference(transitivity,[status(thm)],[29971, 29969])).
% 8.78/6.76 tff(29973,plain,
% 8.78/6.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB196, constB197)) | (v101(constB197) <=> (~((~v102(constB197)) | (~v1(constB197))))))),
% 8.78/6.76 inference(quant_inst,[status(thm)],[])).
% 8.78/6.76 tff(29974,plain,
% 8.78/6.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB196, constB197)) | (v101(constB197) <=> (~((~v1(constB197)) | (~v102(constB197)))))),
% 8.78/6.76 inference(modus_ponens,[status(thm)],[29973, 29972])).
% 8.78/6.76 tff(29975,plain,
% 8.78/6.76 (v101(constB197) <=> (~((~v1(constB197)) | (~v102(constB197))))),
% 8.78/6.76 inference(unit_resolution,[status(thm)],[29974, 14848, 465])).
% 8.78/6.76 tff(29976,plain,
% 8.78/6.76 ((~v1(constB197)) <=> (~v1(constB197))),
% 8.78/6.76 inference(rewrite,[status(thm)],[])).
% 8.78/6.76 tff(29977,axiom,(~v1(constB197)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_197')).
% 8.78/6.76 tff(29978,plain,
% 8.78/6.76 (~v1(constB197)),
% 8.78/6.76 inference(modus_ponens,[status(thm)],[29977, 29976])).
% 8.78/6.76 tff(29979,plain,
% 8.78/6.76 (((~v1(constB197)) | (~v102(constB197))) | v1(constB197)),
% 8.78/6.76 inference(tautology,[status(thm)],[])).
% 8.78/6.76 tff(29980,plain,
% 8.78/6.76 ((~v1(constB197)) | (~v102(constB197))),
% 8.78/6.76 inference(unit_resolution,[status(thm)],[29979, 29978])).
% 8.78/6.76 tff(29981,plain,
% 8.78/6.76 ((~(v101(constB197) <=> (~((~v1(constB197)) | (~v102(constB197)))))) | (~v101(constB197)) | (~((~v1(constB197)) | (~v102(constB197))))),
% 8.78/6.76 inference(tautology,[status(thm)],[])).
% 8.78/6.76 tff(29982,plain,
% 8.78/6.76 ((~(v101(constB197) <=> (~((~v1(constB197)) | (~v102(constB197)))))) | (~v101(constB197))),
% 8.78/6.76 inference(unit_resolution,[status(thm)],[29981, 29980])).
% 8.78/6.76 tff(29983,plain,
% 8.78/6.76 (~v101(constB197)),
% 8.78/6.76 inference(unit_resolution,[status(thm)],[29982, 29975])).
% 8.78/6.76 tff(29984,plain,
% 8.78/6.76 (((~v101(constB197)) | (~v110(constB197))) | v101(constB197)),
% 8.78/6.76 inference(tautology,[status(thm)],[])).
% 8.78/6.76 tff(29985,plain,
% 8.78/6.76 ((~v101(constB197)) | (~v110(constB197))),
% 8.78/6.76 inference(unit_resolution,[status(thm)],[29984, 29983])).
% 8.78/6.76 tff(29986,plain,
% 8.78/6.76 ((~(v100(constB197) <=> (~((~v101(constB197)) | (~v110(constB197)))))) | (~v100(constB197)) | (~((~v101(constB197)) | (~v110(constB197))))),
% 8.78/6.76 inference(tautology,[status(thm)],[])).
% 8.78/6.76 tff(29987,plain,
% 8.78/6.76 (~v100(constB197)),
% 8.78/6.76 inference(unit_resolution,[status(thm)],[29986, 29985, 29968])).
% 8.78/6.76 tff(29988,plain,
% 8.78/6.76 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB197) | (~nextState(constB196, constB197)) | (~(((~v90(constB197, bitIndex1)) <=> v90(constB196, bitIndex1)) | ((~v90(constB197, bitIndex2)) <=> v90(constB196, bitIndex2)) | ((~v90(constB197, bitIndex0)) <=> v90(constB196, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB197) | (~nextState(constB196, constB197)) | (~(((~v90(constB197, bitIndex1)) <=> v90(constB196, bitIndex1)) | ((~v90(constB197, bitIndex2)) <=> v90(constB196, bitIndex2)) | ((~v90(constB197, bitIndex0)) <=> v90(constB196, bitIndex0)))))),
% 8.78/6.76 inference(rewrite,[status(thm)],[])).
% 8.78/6.76 tff(29989,plain,
% 8.78/6.76 ((v100(constB197) | (~nextState(constB196, constB197)) | (~(((~v90(constB197, bitIndex2)) <=> v90(constB196, bitIndex2)) | ((~v90(constB197, bitIndex1)) <=> v90(constB196, bitIndex1)) | ((~v90(constB197, bitIndex0)) <=> v90(constB196, bitIndex0))))) <=> (v100(constB197) | (~nextState(constB196, constB197)) | (~(((~v90(constB197, bitIndex1)) <=> v90(constB196, bitIndex1)) | ((~v90(constB197, bitIndex2)) <=> v90(constB196, bitIndex2)) | ((~v90(constB197, bitIndex0)) <=> v90(constB196, bitIndex0)))))),
% 8.78/6.76 inference(rewrite,[status(thm)],[])).
% 8.78/6.76 tff(29990,plain,
% 8.78/6.76 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB197) | (~nextState(constB196, constB197)) | (~(((~v90(constB197, bitIndex2)) <=> v90(constB196, bitIndex2)) | ((~v90(constB197, bitIndex1)) <=> v90(constB196, bitIndex1)) | ((~v90(constB197, bitIndex0)) <=> v90(constB196, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB197) | (~nextState(constB196, constB197)) | (~(((~v90(constB197, bitIndex1)) <=> v90(constB196, bitIndex1)) | ((~v90(constB197, bitIndex2)) <=> v90(constB196, bitIndex2)) | ((~v90(constB197, bitIndex0)) <=> v90(constB196, bitIndex0))))))),
% 8.78/6.76 inference(monotonicity,[status(thm)],[29989])).
% 8.78/6.76 tff(29991,plain,
% 8.78/6.76 (((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB197) | (~nextState(constB196, constB197)) | (~(((~v90(constB197, bitIndex2)) <=> v90(constB196, bitIndex2)) | ((~v90(constB197, bitIndex1)) <=> v90(constB196, bitIndex1)) | ((~v90(constB197, bitIndex0)) <=> v90(constB196, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB197) | (~nextState(constB196, constB197)) | (~(((~v90(constB197, bitIndex1)) <=> v90(constB196, bitIndex1)) | ((~v90(constB197, bitIndex2)) <=> v90(constB196, bitIndex2)) | ((~v90(constB197, bitIndex0)) <=> v90(constB196, bitIndex0)))))),
% 8.78/6.76 inference(transitivity,[status(thm)],[29990, 29988])).
% 8.78/6.76 tff(29992,plain,
% 8.78/6.76 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | (v100(constB197) | (~nextState(constB196, constB197)) | (~(((~v90(constB197, bitIndex2)) <=> v90(constB196, bitIndex2)) | ((~v90(constB197, bitIndex1)) <=> v90(constB196, bitIndex1)) | ((~v90(constB197, bitIndex0)) <=> v90(constB196, bitIndex0)))))),
% 8.78/6.76 inference(quant_inst,[status(thm)],[])).
% 8.78/6.76 tff(29993,plain,
% 8.78/6.76 ((~![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))) | v100(constB197) | (~nextState(constB196, constB197)) | (~(((~v90(constB197, bitIndex1)) <=> v90(constB196, bitIndex1)) | ((~v90(constB197, bitIndex2)) <=> v90(constB196, bitIndex2)) | ((~v90(constB197, bitIndex0)) <=> v90(constB196, bitIndex0))))),
% 8.78/6.76 inference(modus_ponens,[status(thm)],[29992, 29991])).
% 8.78/6.76 tff(29994,plain,
% 8.78/6.76 (v100(constB197) | (~(((~v90(constB197, bitIndex1)) <=> v90(constB196, bitIndex1)) | ((~v90(constB197, bitIndex2)) <=> v90(constB196, bitIndex2)) | ((~v90(constB197, bitIndex0)) <=> v90(constB196, bitIndex0))))),
% 8.78/6.76 inference(unit_resolution,[status(thm)],[29993, 14848, 494])).
% 8.78/6.76 tff(29995,plain,
% 8.78/6.76 (~(((~v90(constB197, bitIndex1)) <=> v90(constB196, bitIndex1)) | ((~v90(constB197, bitIndex2)) <=> v90(constB196, bitIndex2)) | ((~v90(constB197, bitIndex0)) <=> v90(constB196, bitIndex0)))),
% 8.78/6.76 inference(unit_resolution,[status(thm)],[29994, 29987])).
% 8.78/6.76 tff(29996,plain,
% 8.78/6.76 ((((~v90(constB197, bitIndex1)) <=> v90(constB196, bitIndex1)) | ((~v90(constB197, bitIndex2)) <=> v90(constB196, bitIndex2)) | ((~v90(constB197, bitIndex0)) <=> v90(constB196, bitIndex0))) | (~((~v90(constB197, bitIndex2)) <=> v90(constB196, bitIndex2)))),
% 8.78/6.76 inference(tautology,[status(thm)],[])).
% 8.78/6.76 tff(29997,plain,
% 8.78/6.76 (~((~v90(constB197, bitIndex2)) <=> v90(constB196, bitIndex2))),
% 8.78/6.76 inference(unit_resolution,[status(thm)],[29996, 29995])).
% 8.78/6.76 tff(29998,plain,
% 8.78/6.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB195, constB196)) | (~(((~v129(constB196, bitIndex2)) <=> v127(constB195, bitIndex2)) | ((~v129(constB196, bitIndex1)) <=> v127(constB195, bitIndex1)) | ((~v129(constB196, bitIndex0)) <=> v127(constB195, bitIndex0)))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB195, constB196)) | (~(((~v129(constB196, bitIndex2)) <=> v127(constB195, bitIndex2)) | ((~v129(constB196, bitIndex1)) <=> v127(constB195, bitIndex1)) | ((~v129(constB196, bitIndex0)) <=> v127(constB195, bitIndex0)))))),
% 8.78/6.76 inference(rewrite,[status(thm)],[])).
% 8.78/6.76 tff(29999,plain,
% 8.78/6.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | ((~nextState(constB195, constB196)) | (~(((~v129(constB196, bitIndex2)) <=> v127(constB195, bitIndex2)) | ((~v129(constB196, bitIndex1)) <=> v127(constB195, bitIndex1)) | ((~v129(constB196, bitIndex0)) <=> v127(constB195, bitIndex0)))))),
% 8.78/6.76 inference(quant_inst,[status(thm)],[])).
% 8.78/6.76 tff(30000,plain,
% 8.78/6.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))) | (~nextState(constB195, constB196)) | (~(((~v129(constB196, bitIndex2)) <=> v127(constB195, bitIndex2)) | ((~v129(constB196, bitIndex1)) <=> v127(constB195, bitIndex1)) | ((~v129(constB196, bitIndex0)) <=> v127(constB195, bitIndex0))))),
% 8.78/6.76 inference(modus_ponens,[status(thm)],[29999, 29998])).
% 8.78/6.76 tff(30001,plain,
% 8.78/6.76 (~(((~v129(constB196, bitIndex2)) <=> v127(constB195, bitIndex2)) | ((~v129(constB196, bitIndex1)) <=> v127(constB195, bitIndex1)) | ((~v129(constB196, bitIndex0)) <=> v127(constB195, bitIndex0)))),
% 8.78/6.76 inference(unit_resolution,[status(thm)],[30000, 14894, 517])).
% 8.78/6.76 tff(30002,plain,
% 8.78/6.76 ((((~v129(constB196, bitIndex2)) <=> v127(constB195, bitIndex2)) | ((~v129(constB196, bitIndex1)) <=> v127(constB195, bitIndex1)) | ((~v129(constB196, bitIndex0)) <=> v127(constB195, bitIndex0))) | (~((~v129(constB196, bitIndex2)) <=> v127(constB195, bitIndex2)))),
% 8.78/6.76 inference(tautology,[status(thm)],[])).
% 8.78/6.76 tff(30003,plain,
% 8.78/6.76 (~((~v129(constB196, bitIndex2)) <=> v127(constB195, bitIndex2))),
% 8.78/6.76 inference(unit_resolution,[status(thm)],[30002, 30001])).
% 8.78/6.76 tff(30004,plain,
% 8.78/6.76 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB195) <=> v26(constB195))),
% 8.78/6.76 inference(quant_inst,[status(thm)],[])).
% 8.78/6.76 tff(30005,plain,
% 8.78/6.76 (v111(constB195) <=> v26(constB195)),
% 8.78/6.76 inference(unit_resolution,[status(thm)],[30004, 536])).
% 8.78/6.76 tff(30006,plain,
% 8.78/6.76 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB195))),
% 8.78/6.76 inference(quant_inst,[status(thm)],[])).
% 8.78/6.76 tff(30007,plain,
% 8.78/6.76 (~v26(constB195)),
% 8.78/6.76 inference(unit_resolution,[status(thm)],[30006, 548])).
% 8.78/6.76 tff(30008,plain,
% 8.78/6.76 ((~(v111(constB195) <=> v26(constB195))) | (~v111(constB195)) | v26(constB195)),
% 8.78/6.76 inference(tautology,[status(thm)],[])).
% 8.78/6.76 tff(30009,plain,
% 8.78/6.76 ((~(v111(constB195) <=> v26(constB195))) | (~v111(constB195))),
% 8.78/6.76 inference(unit_resolution,[status(thm)],[30008, 30007])).
% 8.78/6.76 tff(30010,plain,
% 8.78/6.76 (~v111(constB195)),
% 8.78/6.76 inference(unit_resolution,[status(thm)],[30009, 30005])).
% 8.78/6.76 tff(30011,plain,
% 8.78/6.76 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB195) | (~(((~v127(constB195, bitIndex2)) <=> v130(constB195, bitIndex2)) | ((~v127(constB195, bitIndex1)) <=> v130(constB195, bitIndex1)) | ((~v127(constB195, bitIndex0)) <=> v130(constB195, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB195) | (~(((~v127(constB195, bitIndex2)) <=> v130(constB195, bitIndex2)) | ((~v127(constB195, bitIndex1)) <=> v130(constB195, bitIndex1)) | ((~v127(constB195, bitIndex0)) <=> v130(constB195, bitIndex0)))))),
% 8.78/6.76 inference(rewrite,[status(thm)],[])).
% 8.78/6.76 tff(30012,plain,
% 8.78/6.76 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | (v111(constB195) | (~(((~v127(constB195, bitIndex2)) <=> v130(constB195, bitIndex2)) | ((~v127(constB195, bitIndex1)) <=> v130(constB195, bitIndex1)) | ((~v127(constB195, bitIndex0)) <=> v130(constB195, bitIndex0)))))),
% 8.78/6.76 inference(quant_inst,[status(thm)],[])).
% 8.78/6.76 tff(30013,plain,
% 8.78/6.76 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)))))) | v111(constB195) | (~(((~v127(constB195, bitIndex2)) <=> v130(constB195, bitIndex2)) | ((~v127(constB195, bitIndex1)) <=> v130(constB195, bitIndex1)) | ((~v127(constB195, bitIndex0)) <=> v130(constB195, bitIndex0))))),
% 8.78/6.76 inference(modus_ponens,[status(thm)],[30012, 30011])).
% 8.85/6.77 tff(30014,plain,
% 8.85/6.77 (v111(constB195) | (~(((~v127(constB195, bitIndex2)) <=> v130(constB195, bitIndex2)) | ((~v127(constB195, bitIndex1)) <=> v130(constB195, bitIndex1)) | ((~v127(constB195, bitIndex0)) <=> v130(constB195, bitIndex0))))),
% 8.85/6.77 inference(unit_resolution,[status(thm)],[30013, 566])).
% 8.85/6.77 tff(30015,plain,
% 8.85/6.77 (~(((~v127(constB195, bitIndex2)) <=> v130(constB195, bitIndex2)) | ((~v127(constB195, bitIndex1)) <=> v130(constB195, bitIndex1)) | ((~v127(constB195, bitIndex0)) <=> v130(constB195, bitIndex0)))),
% 8.85/6.77 inference(unit_resolution,[status(thm)],[30014, 30010])).
% 8.85/6.77 tff(30016,plain,
% 8.85/6.77 ((((~v127(constB195, bitIndex2)) <=> v130(constB195, bitIndex2)) | ((~v127(constB195, bitIndex1)) <=> v130(constB195, bitIndex1)) | ((~v127(constB195, bitIndex0)) <=> v130(constB195, bitIndex0))) | (~((~v127(constB195, bitIndex2)) <=> v130(constB195, bitIndex2)))),
% 8.85/6.77 inference(tautology,[status(thm)],[])).
% 8.85/6.77 tff(30017,plain,
% 8.85/6.77 (~((~v127(constB195, bitIndex2)) <=> v130(constB195, bitIndex2))),
% 8.85/6.77 inference(unit_resolution,[status(thm)],[30016, 30015])).
% 8.85/6.77 tff(30018,plain,
% 8.85/6.77 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB195) <=> (~(v90(constB195, bitIndex1) | v90(constB195, bitIndex2) | (~v90(constB195, bitIndex0)))))),
% 8.85/6.77 inference(quant_inst,[status(thm)],[])).
% 8.85/6.77 tff(30019,plain,
% 8.85/6.77 (v120(constB195) <=> (~(v90(constB195, bitIndex1) | v90(constB195, bitIndex2) | (~v90(constB195, bitIndex0))))),
% 8.85/6.77 inference(unit_resolution,[status(thm)],[30018, 665])).
% 8.85/6.77 tff(30020,plain,
% 8.85/6.77 ((v90(constB195, bitIndex1) | v90(constB195, bitIndex2) | (~v90(constB195, bitIndex0))) | v90(constB195, bitIndex0)),
% 8.85/6.77 inference(tautology,[status(thm)],[])).
% 8.85/6.77 tff(30021,plain,
% 8.85/6.77 (v90(constB195, bitIndex1) | v90(constB195, bitIndex2) | (~v90(constB195, bitIndex0))),
% 8.85/6.77 inference(unit_resolution,[status(thm)],[30020, 23931])).
% 8.85/6.77 tff(30022,plain,
% 8.85/6.77 ((~(v120(constB195) <=> (~(v90(constB195, bitIndex1) | v90(constB195, bitIndex2) | (~v90(constB195, bitIndex0)))))) | (~v120(constB195)) | (~(v90(constB195, bitIndex1) | v90(constB195, bitIndex2) | (~v90(constB195, bitIndex0))))),
% 8.85/6.77 inference(tautology,[status(thm)],[])).
% 8.85/6.77 tff(30023,plain,
% 8.85/6.77 (~v120(constB195)),
% 8.85/6.77 inference(unit_resolution,[status(thm)],[30022, 30021, 30019])).
% 8.85/6.77 tff(30024,plain,
% 8.85/6.77 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB195) <=> (~(v90(constB195, bitIndex1) | (~v90(constB195, bitIndex2)) | (~v90(constB195, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB195) <=> (~(v90(constB195, bitIndex1) | (~v90(constB195, bitIndex2)) | (~v90(constB195, bitIndex0))))))),
% 8.85/6.77 inference(rewrite,[status(thm)],[])).
% 8.85/6.77 tff(30025,plain,
% 8.85/6.77 ((v124(constB195) <=> (~(v90(constB195, bitIndex1) | (~v90(constB195, bitIndex0)) | (~v90(constB195, bitIndex2))))) <=> (v124(constB195) <=> (~(v90(constB195, bitIndex1) | (~v90(constB195, bitIndex2)) | (~v90(constB195, bitIndex0)))))),
% 8.85/6.77 inference(rewrite,[status(thm)],[])).
% 8.85/6.77 tff(30026,plain,
% 8.85/6.77 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB195) <=> (~(v90(constB195, bitIndex1) | (~v90(constB195, bitIndex0)) | (~v90(constB195, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB195) <=> (~(v90(constB195, bitIndex1) | (~v90(constB195, bitIndex2)) | (~v90(constB195, bitIndex0))))))),
% 8.85/6.77 inference(monotonicity,[status(thm)],[30025])).
% 8.85/6.77 tff(30027,plain,
% 8.85/6.77 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB195) <=> (~(v90(constB195, bitIndex1) | (~v90(constB195, bitIndex0)) | (~v90(constB195, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB195) <=> (~(v90(constB195, bitIndex1) | (~v90(constB195, bitIndex2)) | (~v90(constB195, bitIndex0))))))),
% 8.85/6.77 inference(transitivity,[status(thm)],[30026, 30024])).
% 8.85/6.77 tff(30028,plain,
% 8.85/6.77 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB195) <=> (~(v90(constB195, bitIndex1) | (~v90(constB195, bitIndex0)) | (~v90(constB195, bitIndex2)))))),
% 8.85/6.77 inference(quant_inst,[status(thm)],[])).
% 8.85/6.77 tff(30029,plain,
% 8.85/6.77 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB195) <=> (~(v90(constB195, bitIndex1) | (~v90(constB195, bitIndex2)) | (~v90(constB195, bitIndex0)))))),
% 8.85/6.77 inference(modus_ponens,[status(thm)],[30028, 30027])).
% 8.85/6.77 tff(30030,plain,
% 8.85/6.77 (v124(constB195) <=> (~(v90(constB195, bitIndex1) | (~v90(constB195, bitIndex2)) | (~v90(constB195, bitIndex0))))),
% 8.85/6.77 inference(unit_resolution,[status(thm)],[30029, 3613])).
% 8.85/6.77 tff(30031,plain,
% 8.85/6.77 ((v90(constB195, bitIndex1) | (~v90(constB195, bitIndex2)) | (~v90(constB195, bitIndex0))) | v90(constB195, bitIndex0)),
% 8.85/6.77 inference(tautology,[status(thm)],[])).
% 8.85/6.77 tff(30032,plain,
% 8.85/6.77 (v90(constB195, bitIndex1) | (~v90(constB195, bitIndex2)) | (~v90(constB195, bitIndex0))),
% 8.85/6.77 inference(unit_resolution,[status(thm)],[30031, 23931])).
% 8.85/6.77 tff(30033,plain,
% 8.85/6.77 ((~(v124(constB195) <=> (~(v90(constB195, bitIndex1) | (~v90(constB195, bitIndex2)) | (~v90(constB195, bitIndex0)))))) | (~v124(constB195)) | (~(v90(constB195, bitIndex1) | (~v90(constB195, bitIndex2)) | (~v90(constB195, bitIndex0))))),
% 8.85/6.77 inference(tautology,[status(thm)],[])).
% 8.85/6.77 tff(30034,plain,
% 8.85/6.77 (~v124(constB195)),
% 8.85/6.77 inference(unit_resolution,[status(thm)],[30033, 30032, 30030])).
% 8.85/6.77 tff(30035,plain,
% 8.85/6.77 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB195) <=> (~(v90(constB195, bitIndex1) | v90(constB195, bitIndex0) | (~v90(constB195, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB195) <=> (~(v90(constB195, bitIndex1) | v90(constB195, bitIndex0) | (~v90(constB195, bitIndex2))))))),
% 8.85/6.77 inference(rewrite,[status(thm)],[])).
% 8.85/6.77 tff(30036,plain,
% 8.85/6.77 ((v123(constB195) <=> (~(v90(constB195, bitIndex0) | v90(constB195, bitIndex1) | (~v90(constB195, bitIndex2))))) <=> (v123(constB195) <=> (~(v90(constB195, bitIndex1) | v90(constB195, bitIndex0) | (~v90(constB195, bitIndex2)))))),
% 8.85/6.77 inference(rewrite,[status(thm)],[])).
% 8.85/6.77 tff(30037,plain,
% 8.85/6.77 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB195) <=> (~(v90(constB195, bitIndex0) | v90(constB195, bitIndex1) | (~v90(constB195, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB195) <=> (~(v90(constB195, bitIndex1) | v90(constB195, bitIndex0) | (~v90(constB195, bitIndex2))))))),
% 8.85/6.77 inference(monotonicity,[status(thm)],[30036])).
% 8.85/6.77 tff(30038,plain,
% 8.85/6.77 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB195) <=> (~(v90(constB195, bitIndex0) | v90(constB195, bitIndex1) | (~v90(constB195, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB195) <=> (~(v90(constB195, bitIndex1) | v90(constB195, bitIndex0) | (~v90(constB195, bitIndex2))))))),
% 8.85/6.77 inference(transitivity,[status(thm)],[30037, 30035])).
% 8.85/6.77 tff(30039,plain,
% 8.85/6.77 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB195) <=> (~(v90(constB195, bitIndex0) | v90(constB195, bitIndex1) | (~v90(constB195, bitIndex2)))))),
% 8.85/6.77 inference(quant_inst,[status(thm)],[])).
% 8.85/6.77 tff(30040,plain,
% 8.85/6.77 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB195) <=> (~(v90(constB195, bitIndex1) | v90(constB195, bitIndex0) | (~v90(constB195, bitIndex2)))))),
% 8.85/6.77 inference(modus_ponens,[status(thm)],[30039, 30038])).
% 8.85/6.77 tff(30041,plain,
% 8.85/6.77 (v123(constB195) <=> (~(v90(constB195, bitIndex1) | v90(constB195, bitIndex0) | (~v90(constB195, bitIndex2))))),
% 8.85/6.77 inference(unit_resolution,[status(thm)],[30040, 800])).
% 8.85/6.77 tff(30042,plain,
% 8.85/6.77 ((v90(constB195, bitIndex1) | v90(constB195, bitIndex0) | (~v90(constB195, bitIndex2))) | (~v90(constB195, bitIndex1))),
% 8.85/6.77 inference(tautology,[status(thm)],[])).
% 8.85/6.77 tff(30043,plain,
% 8.85/6.77 (v90(constB195, bitIndex1) | v90(constB195, bitIndex0) | (~v90(constB195, bitIndex2))),
% 8.85/6.77 inference(unit_resolution,[status(thm)],[30042, 23953])).
% 8.85/6.77 tff(30044,plain,
% 8.85/6.77 ((~(v123(constB195) <=> (~(v90(constB195, bitIndex1) | v90(constB195, bitIndex0) | (~v90(constB195, bitIndex2)))))) | (~v123(constB195)) | (~(v90(constB195, bitIndex1) | v90(constB195, bitIndex0) | (~v90(constB195, bitIndex2))))),
% 8.85/6.77 inference(tautology,[status(thm)],[])).
% 8.85/6.77 tff(30045,plain,
% 8.85/6.77 (~v123(constB195)),
% 8.85/6.77 inference(unit_resolution,[status(thm)],[30044, 30043, 30041])).
% 8.85/6.77 tff(30046,plain,
% 8.85/6.77 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB195) <=> (~(v90(constB195, bitIndex2) | (~v90(constB195, bitIndex1)) | (~v90(constB195, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB195) <=> (~(v90(constB195, bitIndex2) | (~v90(constB195, bitIndex1)) | (~v90(constB195, bitIndex0))))))),
% 8.85/6.77 inference(rewrite,[status(thm)],[])).
% 8.85/6.77 tff(30047,plain,
% 8.85/6.77 ((v122(constB195) <=> (~(v90(constB195, bitIndex2) | (~v90(constB195, bitIndex0)) | (~v90(constB195, bitIndex1))))) <=> (v122(constB195) <=> (~(v90(constB195, bitIndex2) | (~v90(constB195, bitIndex1)) | (~v90(constB195, bitIndex0)))))),
% 8.85/6.77 inference(rewrite,[status(thm)],[])).
% 8.85/6.77 tff(30048,plain,
% 8.85/6.77 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB195) <=> (~(v90(constB195, bitIndex2) | (~v90(constB195, bitIndex0)) | (~v90(constB195, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB195) <=> (~(v90(constB195, bitIndex2) | (~v90(constB195, bitIndex1)) | (~v90(constB195, bitIndex0))))))),
% 8.85/6.77 inference(monotonicity,[status(thm)],[30047])).
% 8.85/6.77 tff(30049,plain,
% 8.85/6.77 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB195) <=> (~(v90(constB195, bitIndex2) | (~v90(constB195, bitIndex0)) | (~v90(constB195, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB195) <=> (~(v90(constB195, bitIndex2) | (~v90(constB195, bitIndex1)) | (~v90(constB195, bitIndex0))))))),
% 8.85/6.77 inference(transitivity,[status(thm)],[30048, 30046])).
% 8.85/6.77 tff(30050,plain,
% 8.85/6.77 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB195) <=> (~(v90(constB195, bitIndex2) | (~v90(constB195, bitIndex0)) | (~v90(constB195, bitIndex1)))))),
% 8.85/6.77 inference(quant_inst,[status(thm)],[])).
% 8.85/6.77 tff(30051,plain,
% 8.85/6.77 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB195) <=> (~(v90(constB195, bitIndex2) | (~v90(constB195, bitIndex1)) | (~v90(constB195, bitIndex0)))))),
% 8.85/6.77 inference(modus_ponens,[status(thm)],[30050, 30049])).
% 8.85/6.77 tff(30052,plain,
% 8.85/6.77 (v122(constB195) <=> (~(v90(constB195, bitIndex2) | (~v90(constB195, bitIndex1)) | (~v90(constB195, bitIndex0))))),
% 8.85/6.77 inference(unit_resolution,[status(thm)],[30051, 879])).
% 8.85/6.77 tff(30053,plain,
% 8.85/6.77 ((v90(constB195, bitIndex2) | (~v90(constB195, bitIndex1)) | (~v90(constB195, bitIndex0))) | v90(constB195, bitIndex0)),
% 8.85/6.77 inference(tautology,[status(thm)],[])).
% 8.85/6.77 tff(30054,plain,
% 8.85/6.77 (v90(constB195, bitIndex2) | (~v90(constB195, bitIndex1)) | (~v90(constB195, bitIndex0))),
% 8.85/6.77 inference(unit_resolution,[status(thm)],[30053, 23931])).
% 8.85/6.77 tff(30055,plain,
% 8.85/6.77 ((~(v122(constB195) <=> (~(v90(constB195, bitIndex2) | (~v90(constB195, bitIndex1)) | (~v90(constB195, bitIndex0)))))) | (~v122(constB195)) | (~(v90(constB195, bitIndex2) | (~v90(constB195, bitIndex1)) | (~v90(constB195, bitIndex0))))),
% 8.85/6.77 inference(tautology,[status(thm)],[])).
% 8.85/6.77 tff(30056,plain,
% 8.85/6.77 (~v122(constB195)),
% 8.85/6.77 inference(unit_resolution,[status(thm)],[30055, 30054, 30052])).
% 8.85/6.77 tff(30057,plain,
% 8.85/6.77 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB195) <=> (~(v90(constB195, bitIndex2) | v90(constB195, bitIndex0) | (~v90(constB195, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB195) <=> (~(v90(constB195, bitIndex2) | v90(constB195, bitIndex0) | (~v90(constB195, bitIndex1))))))),
% 8.85/6.77 inference(rewrite,[status(thm)],[])).
% 8.85/6.77 tff(30058,plain,
% 8.85/6.77 ((v121(constB195) <=> (~(v90(constB195, bitIndex0) | v90(constB195, bitIndex2) | (~v90(constB195, bitIndex1))))) <=> (v121(constB195) <=> (~(v90(constB195, bitIndex2) | v90(constB195, bitIndex0) | (~v90(constB195, bitIndex1)))))),
% 8.85/6.77 inference(rewrite,[status(thm)],[])).
% 8.85/6.77 tff(30059,plain,
% 8.85/6.77 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB195) <=> (~(v90(constB195, bitIndex0) | v90(constB195, bitIndex2) | (~v90(constB195, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB195) <=> (~(v90(constB195, bitIndex2) | v90(constB195, bitIndex0) | (~v90(constB195, bitIndex1))))))),
% 8.85/6.77 inference(monotonicity,[status(thm)],[30058])).
% 8.85/6.77 tff(30060,plain,
% 8.85/6.77 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB195) <=> (~(v90(constB195, bitIndex0) | v90(constB195, bitIndex2) | (~v90(constB195, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB195) <=> (~(v90(constB195, bitIndex2) | v90(constB195, bitIndex0) | (~v90(constB195, bitIndex1))))))),
% 8.85/6.77 inference(transitivity,[status(thm)],[30059, 30057])).
% 8.85/6.77 tff(30061,plain,
% 8.85/6.77 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB195) <=> (~(v90(constB195, bitIndex0) | v90(constB195, bitIndex2) | (~v90(constB195, bitIndex1)))))),
% 8.85/6.77 inference(quant_inst,[status(thm)],[])).
% 8.85/6.77 tff(30062,plain,
% 8.85/6.77 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB195) <=> (~(v90(constB195, bitIndex2) | v90(constB195, bitIndex0) | (~v90(constB195, bitIndex1)))))),
% 8.85/6.77 inference(modus_ponens,[status(thm)],[30061, 30060])).
% 8.85/6.77 tff(30063,plain,
% 8.85/6.77 (v121(constB195) <=> (~(v90(constB195, bitIndex2) | v90(constB195, bitIndex0) | (~v90(constB195, bitIndex1))))),
% 8.85/6.77 inference(unit_resolution,[status(thm)],[30062, 586])).
% 8.85/6.77 tff(30064,plain,
% 8.85/6.77 ((v90(constB195, bitIndex2) | v90(constB195, bitIndex0) | (~v90(constB195, bitIndex1))) | (~v90(constB195, bitIndex2))),
% 8.85/6.77 inference(tautology,[status(thm)],[])).
% 8.85/6.77 tff(30065,plain,
% 8.85/6.77 (v90(constB195, bitIndex2) | v90(constB195, bitIndex0) | (~v90(constB195, bitIndex1))),
% 8.85/6.77 inference(unit_resolution,[status(thm)],[30064, 23909])).
% 8.85/6.77 tff(30066,plain,
% 8.85/6.77 ((~(v121(constB195) <=> (~(v90(constB195, bitIndex2) | v90(constB195, bitIndex0) | (~v90(constB195, bitIndex1)))))) | (~v121(constB195)) | (~(v90(constB195, bitIndex2) | v90(constB195, bitIndex0) | (~v90(constB195, bitIndex1))))),
% 8.85/6.77 inference(tautology,[status(thm)],[])).
% 8.85/6.77 tff(30067,plain,
% 8.85/6.77 (~v121(constB195)),
% 8.85/6.77 inference(unit_resolution,[status(thm)],[30066, 30065, 30063])).
% 8.85/6.77 tff(30068,plain,
% 8.85/6.77 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB195) <=> (~(v90(constB195, bitIndex0) | v90(constB195, bitIndex1) | v90(constB195, bitIndex2))))),
% 8.85/6.77 inference(quant_inst,[status(thm)],[])).
% 8.85/6.77 tff(30069,plain,
% 8.85/6.77 (v119(constB195) <=> (~(v90(constB195, bitIndex0) | v90(constB195, bitIndex1) | v90(constB195, bitIndex2)))),
% 8.85/6.77 inference(unit_resolution,[status(thm)],[30068, 1085])).
% 8.85/6.77 tff(30070,plain,
% 8.85/6.77 ((v90(constB195, bitIndex0) | v90(constB195, bitIndex1) | v90(constB195, bitIndex2)) | (~v90(constB195, bitIndex2))),
% 8.85/6.77 inference(tautology,[status(thm)],[])).
% 8.85/6.77 tff(30071,plain,
% 8.85/6.77 (v90(constB195, bitIndex0) | v90(constB195, bitIndex1) | v90(constB195, bitIndex2)),
% 8.85/6.77 inference(unit_resolution,[status(thm)],[30070, 23909])).
% 8.85/6.77 tff(30072,plain,
% 8.85/6.77 ((~(v119(constB195) <=> (~(v90(constB195, bitIndex0) | v90(constB195, bitIndex1) | v90(constB195, bitIndex2))))) | (~v119(constB195)) | (~(v90(constB195, bitIndex0) | v90(constB195, bitIndex1) | v90(constB195, bitIndex2)))),
% 8.85/6.77 inference(tautology,[status(thm)],[])).
% 8.85/6.77 tff(30073,plain,
% 8.85/6.77 (~v119(constB195)),
% 8.85/6.77 inference(unit_resolution,[status(thm)],[30072, 30071, 30069])).
% 8.85/6.77 tff(30074,plain,
% 8.85/6.77 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v119(constB195) | v120(constB195) | v121(constB195) | v122(constB195) | v123(constB195) | v124(constB195) | (~(v130(constB195, bitIndex2) | v130(constB195, bitIndex1) | (~v130(constB195, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | v119(constB195) | v120(constB195) | v121(constB195) | v122(constB195) | v123(constB195) | v124(constB195) | (~(v130(constB195, bitIndex2) | v130(constB195, bitIndex1) | (~v130(constB195, bitIndex0)))))),
% 8.85/6.77 inference(rewrite,[status(thm)],[])).
% 8.85/6.77 tff(30075,plain,
% 8.85/6.77 ((v124(constB195) | v123(constB195) | v122(constB195) | v121(constB195) | v120(constB195) | v119(constB195) | (~(v130(constB195, bitIndex2) | v130(constB195, bitIndex1) | (~v130(constB195, bitIndex0))))) <=> (v119(constB195) | v120(constB195) | v121(constB195) | v122(constB195) | v123(constB195) | v124(constB195) | (~(v130(constB195, bitIndex2) | v130(constB195, bitIndex1) | (~v130(constB195, bitIndex0)))))),
% 8.85/6.77 inference(rewrite,[status(thm)],[])).
% 8.85/6.77 tff(30076,plain,
% 8.85/6.77 ((~(v130(constB195, bitIndex1) | v130(constB195, bitIndex2) | (~v130(constB195, bitIndex0)))) <=> (~(v130(constB195, bitIndex2) | v130(constB195, bitIndex1) | (~v130(constB195, bitIndex0))))),
% 8.85/6.77 inference(rewrite,[status(thm)],[])).
% 8.85/6.77 tff(30077,plain,
% 8.85/6.77 ((v124(constB195) | v123(constB195) | v122(constB195) | v121(constB195) | v120(constB195) | v119(constB195) | (~(v130(constB195, bitIndex1) | v130(constB195, bitIndex2) | (~v130(constB195, bitIndex0))))) <=> (v124(constB195) | v123(constB195) | v122(constB195) | v121(constB195) | v120(constB195) | v119(constB195) | (~(v130(constB195, bitIndex2) | v130(constB195, bitIndex1) | (~v130(constB195, bitIndex0)))))),
% 8.85/6.77 inference(monotonicity,[status(thm)],[30076])).
% 8.85/6.77 tff(30078,plain,
% 8.85/6.77 ((v124(constB195) | v123(constB195) | v122(constB195) | v121(constB195) | v120(constB195) | v119(constB195) | (~(v130(constB195, bitIndex1) | v130(constB195, bitIndex2) | (~v130(constB195, bitIndex0))))) <=> (v119(constB195) | v120(constB195) | v121(constB195) | v122(constB195) | v123(constB195) | v124(constB195) | (~(v130(constB195, bitIndex2) | v130(constB195, bitIndex1) | (~v130(constB195, bitIndex0)))))),
% 8.85/6.77 inference(transitivity,[status(thm)],[30077, 30075])).
% 8.85/6.77 tff(30079,plain,
% 8.85/6.77 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB195) | v123(constB195) | v122(constB195) | v121(constB195) | v120(constB195) | v119(constB195) | (~(v130(constB195, bitIndex1) | v130(constB195, bitIndex2) | (~v130(constB195, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v119(constB195) | v120(constB195) | v121(constB195) | v122(constB195) | v123(constB195) | v124(constB195) | (~(v130(constB195, bitIndex2) | v130(constB195, bitIndex1) | (~v130(constB195, bitIndex0))))))),
% 8.85/6.77 inference(monotonicity,[status(thm)],[30078])).
% 8.85/6.77 tff(30080,plain,
% 8.85/6.77 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB195) | v123(constB195) | v122(constB195) | v121(constB195) | v120(constB195) | v119(constB195) | (~(v130(constB195, bitIndex1) | v130(constB195, bitIndex2) | (~v130(constB195, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | v119(constB195) | v120(constB195) | v121(constB195) | v122(constB195) | v123(constB195) | v124(constB195) | (~(v130(constB195, bitIndex2) | v130(constB195, bitIndex1) | (~v130(constB195, bitIndex0)))))),
% 8.85/6.77 inference(transitivity,[status(thm)],[30079, 30074])).
% 8.85/6.77 tff(30081,plain,
% 8.85/6.77 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB195) | v123(constB195) | v122(constB195) | v121(constB195) | v120(constB195) | v119(constB195) | (~(v130(constB195, bitIndex1) | v130(constB195, bitIndex2) | (~v130(constB195, bitIndex0)))))),
% 8.85/6.77 inference(quant_inst,[status(thm)],[])).
% 8.85/6.77 tff(30082,plain,
% 8.85/6.77 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | v119(constB195) | v120(constB195) | v121(constB195) | v122(constB195) | v123(constB195) | v124(constB195) | (~(v130(constB195, bitIndex2) | v130(constB195, bitIndex1) | (~v130(constB195, bitIndex0))))),
% 8.85/6.77 inference(modus_ponens,[status(thm)],[30081, 30080])).
% 8.85/6.77 tff(30083,plain,
% 8.85/6.77 (v119(constB195) | v120(constB195) | v121(constB195) | v122(constB195) | v123(constB195) | v124(constB195) | (~(v130(constB195, bitIndex2) | v130(constB195, bitIndex1) | (~v130(constB195, bitIndex0))))),
% 8.85/6.77 inference(unit_resolution,[status(thm)],[30082, 3694])).
% 8.85/6.77 tff(30084,plain,
% 8.85/6.77 (~(v130(constB195, bitIndex2) | v130(constB195, bitIndex1) | (~v130(constB195, bitIndex0)))),
% 8.85/6.77 inference(unit_resolution,[status(thm)],[30083, 30073, 30067, 30056, 30045, 30034, 30023])).
% 8.85/6.77 tff(30085,plain,
% 8.85/6.77 ((v130(constB195, bitIndex2) | v130(constB195, bitIndex1) | (~v130(constB195, bitIndex0))) | (~v130(constB195, bitIndex2))),
% 8.85/6.77 inference(tautology,[status(thm)],[])).
% 8.85/6.77 tff(30086,plain,
% 8.85/6.77 (~v130(constB195, bitIndex2)),
% 8.85/6.77 inference(unit_resolution,[status(thm)],[30085, 30084])).
% 8.85/6.77 tff(30087,plain,
% 8.85/6.77 (((~v127(constB195, bitIndex2)) <=> v130(constB195, bitIndex2)) | (~v127(constB195, bitIndex2)) | v130(constB195, bitIndex2)),
% 8.85/6.77 inference(tautology,[status(thm)],[])).
% 8.85/6.77 tff(30088,plain,
% 8.85/6.77 (~v127(constB195, bitIndex2)),
% 8.85/6.77 inference(unit_resolution,[status(thm)],[30087, 30086, 30017])).
% 8.85/6.77 tff(30089,plain,
% 8.85/6.77 (((~v129(constB196, bitIndex2)) <=> v127(constB195, bitIndex2)) | (~v129(constB196, bitIndex2)) | v127(constB195, bitIndex2)),
% 8.85/6.78 inference(tautology,[status(thm)],[])).
% 8.85/6.78 tff(30090,plain,
% 8.85/6.78 (~v129(constB196, bitIndex2)),
% 8.85/6.78 inference(unit_resolution,[status(thm)],[30089, 30088, 30003])).
% 8.85/6.78 tff(30091,plain,
% 8.85/6.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB195, constB196)) | (v100(constB196) <=> (~((~v101(constB196)) | (~v110(constB196))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB195, constB196)) | (v100(constB196) <=> (~((~v101(constB196)) | (~v110(constB196))))))),
% 8.85/6.78 inference(rewrite,[status(thm)],[])).
% 8.85/6.78 tff(30092,plain,
% 8.85/6.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB195, constB196)) | (v100(constB196) <=> (~((~v101(constB196)) | (~v110(constB196))))))),
% 8.85/6.78 inference(quant_inst,[status(thm)],[])).
% 8.85/6.78 tff(30093,plain,
% 8.85/6.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB195, constB196)) | (v100(constB196) <=> (~((~v101(constB196)) | (~v110(constB196)))))),
% 8.85/6.78 inference(modus_ponens,[status(thm)],[30092, 30091])).
% 8.85/6.78 tff(30094,plain,
% 8.85/6.78 (v100(constB196) <=> (~((~v101(constB196)) | (~v110(constB196))))),
% 8.85/6.78 inference(unit_resolution,[status(thm)],[30093, 14894, 445])).
% 8.85/6.78 tff(30095,plain,
% 8.85/6.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB195, constB196)) | (v101(constB196) <=> (~((~v1(constB196)) | (~v102(constB196))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB195, constB196)) | (v101(constB196) <=> (~((~v1(constB196)) | (~v102(constB196))))))),
% 8.85/6.78 inference(rewrite,[status(thm)],[])).
% 8.85/6.78 tff(30096,plain,
% 8.85/6.78 (((~nextState(constB195, constB196)) | (v101(constB196) <=> (~((~v102(constB196)) | (~v1(constB196)))))) <=> ((~nextState(constB195, constB196)) | (v101(constB196) <=> (~((~v1(constB196)) | (~v102(constB196))))))),
% 8.85/6.78 inference(rewrite,[status(thm)],[])).
% 8.85/6.78 tff(30097,plain,
% 8.85/6.78 (((~![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) <=> (~((~v1(constB196)) | (~v102(constB196)))))))),
% 8.85/6.78 inference(monotonicity,[status(thm)],[30096])).
% 8.85/6.78 tff(30098,plain,
% 8.85/6.78 (((~![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) <=> (~((~v1(constB196)) | (~v102(constB196))))))),
% 8.85/6.78 inference(transitivity,[status(thm)],[30097, 30095])).
% 8.85/6.78 tff(30099,plain,
% 8.85/6.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB195, constB196)) | (v101(constB196) <=> (~((~v102(constB196)) | (~v1(constB196))))))),
% 8.85/6.78 inference(quant_inst,[status(thm)],[])).
% 8.85/6.78 tff(30100,plain,
% 8.85/6.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB195, constB196)) | (v101(constB196) <=> (~((~v1(constB196)) | (~v102(constB196)))))),
% 8.85/6.78 inference(modus_ponens,[status(thm)],[30099, 30098])).
% 8.85/6.78 tff(30101,plain,
% 8.85/6.78 (v101(constB196) <=> (~((~v1(constB196)) | (~v102(constB196))))),
% 8.85/6.78 inference(unit_resolution,[status(thm)],[30100, 14894, 465])).
% 8.85/6.78 tff(30102,plain,
% 8.85/6.78 (((~![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)))),
% 8.85/6.78 inference(rewrite,[status(thm)],[])).
% 8.85/6.78 tff(30103,plain,
% 8.85/6.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB195, constB196)) | ((~v102(constB196)) <=> v104(constB196)))),
% 8.85/6.78 inference(quant_inst,[status(thm)],[])).
% 8.85/6.78 tff(30104,plain,
% 8.85/6.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB195, constB196)) | ((~v102(constB196)) <=> v104(constB196))),
% 8.85/6.78 inference(modus_ponens,[status(thm)],[30103, 30102])).
% 8.85/6.78 tff(30105,plain,
% 8.85/6.78 ((~v102(constB196)) <=> v104(constB196)),
% 8.85/6.78 inference(unit_resolution,[status(thm)],[30104, 14894, 3244])).
% 8.85/6.78 tff(30106,plain,
% 8.85/6.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB195, constB196)) | (v104(constB196) <=> v1(constB195)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB195, constB196)) | (v104(constB196) <=> v1(constB195)))),
% 8.85/6.78 inference(rewrite,[status(thm)],[])).
% 8.85/6.78 tff(30107,plain,
% 8.85/6.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB195, constB196)) | (v104(constB196) <=> v1(constB195)))),
% 8.85/6.78 inference(quant_inst,[status(thm)],[])).
% 8.85/6.78 tff(30108,plain,
% 8.85/6.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB195, constB196)) | (v104(constB196) <=> v1(constB195))),
% 8.85/6.78 inference(modus_ponens,[status(thm)],[30107, 30106])).
% 8.85/6.78 tff(30109,plain,
% 8.85/6.78 (v104(constB196) <=> v1(constB195)),
% 8.85/6.78 inference(unit_resolution,[status(thm)],[30108, 14894, 3258])).
% 8.85/6.78 tff(30110,plain,
% 8.85/6.78 ((~(v104(constB196) <=> v1(constB195))) | (~v104(constB196)) | v1(constB195)),
% 8.85/6.78 inference(tautology,[status(thm)],[])).
% 8.85/6.78 tff(30111,plain,
% 8.85/6.78 ((~(v104(constB196) <=> v1(constB195))) | (~v104(constB196))),
% 8.85/6.78 inference(unit_resolution,[status(thm)],[30110, 14958])).
% 8.85/6.78 tff(30112,plain,
% 8.85/6.78 (~v104(constB196)),
% 8.85/6.78 inference(unit_resolution,[status(thm)],[30111, 30109])).
% 8.85/6.78 tff(30113,plain,
% 8.85/6.78 ((~((~v102(constB196)) <=> v104(constB196))) | v102(constB196) | v104(constB196)),
% 8.85/6.78 inference(tautology,[status(thm)],[])).
% 8.85/6.78 tff(30114,plain,
% 8.85/6.78 (v102(constB196)),
% 8.85/6.78 inference(unit_resolution,[status(thm)],[30113, 30112, 30105])).
% 8.85/6.78 tff(30115,plain,
% 8.85/6.78 ((~((~v1(constB196)) | (~v102(constB196)))) | (~v1(constB196)) | (~v102(constB196))),
% 8.85/6.78 inference(tautology,[status(thm)],[])).
% 8.85/6.78 tff(30116,plain,
% 8.85/6.78 ((~((~v1(constB196)) | (~v102(constB196)))) | (~v102(constB196))),
% 8.85/6.78 inference(unit_resolution,[status(thm)],[30115, 14865])).
% 8.85/6.78 tff(30117,plain,
% 8.85/6.78 (~((~v1(constB196)) | (~v102(constB196)))),
% 8.85/6.78 inference(unit_resolution,[status(thm)],[30116, 30114])).
% 8.85/6.78 tff(30118,plain,
% 8.85/6.78 ((~(v101(constB196) <=> (~((~v1(constB196)) | (~v102(constB196)))))) | v101(constB196) | ((~v1(constB196)) | (~v102(constB196)))),
% 8.85/6.78 inference(tautology,[status(thm)],[])).
% 8.85/6.78 tff(30119,plain,
% 8.85/6.78 (v101(constB196)),
% 8.85/6.78 inference(unit_resolution,[status(thm)],[30118, 30117, 30101])).
% 8.85/6.78 tff(30120,plain,
% 8.85/6.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB195, constB196)) | (v110(constB196) <=> v108(constB195)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB195, constB196)) | (v110(constB196) <=> v108(constB195)))),
% 8.85/6.78 inference(rewrite,[status(thm)],[])).
% 8.85/6.78 tff(30121,plain,
% 8.85/6.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB195, constB196)) | (v110(constB196) <=> v108(constB195)))),
% 8.85/6.78 inference(quant_inst,[status(thm)],[])).
% 8.85/6.78 tff(30122,plain,
% 8.85/6.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB195, constB196)) | (v110(constB196) <=> v108(constB195))),
% 8.85/6.78 inference(modus_ponens,[status(thm)],[30121, 30120])).
% 8.85/6.78 tff(30123,plain,
% 8.85/6.78 (v110(constB196) <=> v108(constB195)),
% 8.85/6.78 inference(unit_resolution,[status(thm)],[30122, 14894, 3285])).
% 8.85/6.78 tff(30124,plain,
% 8.85/6.78 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB195) <=> (v111(constB195) | v112(constB195)))),
% 8.85/6.78 inference(quant_inst,[status(thm)],[])).
% 8.85/6.78 tff(30125,plain,
% 8.85/6.78 (v108(constB195) <=> (v111(constB195) | v112(constB195))),
% 8.85/6.78 inference(unit_resolution,[status(thm)],[30124, 3296])).
% 8.85/6.78 tff(30126,plain,
% 8.85/6.78 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB195) <=> (~((~v113(constB195)) | (~v126(constB195)))))),
% 8.85/6.78 inference(quant_inst,[status(thm)],[])).
% 8.85/6.78 tff(30127,plain,
% 8.85/6.78 (v112(constB195) <=> (~((~v113(constB195)) | (~v126(constB195))))),
% 8.85/6.78 inference(unit_resolution,[status(thm)],[30126, 3308])).
% 8.85/6.78 tff(30128,plain,
% 8.85/6.78 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB195) <=> (v114(constB195) | v125(constB195)))),
% 8.85/6.78 inference(quant_inst,[status(thm)],[])).
% 8.85/6.78 tff(30129,plain,
% 8.85/6.78 (v113(constB195) <=> (v114(constB195) | v125(constB195))),
% 8.85/6.78 inference(unit_resolution,[status(thm)],[30128, 3317])).
% 8.85/6.78 tff(30130,plain,
% 8.85/6.78 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB195) <=> (~(v90(constB195, bitIndex0) | (~v90(constB195, bitIndex1)) | (~v90(constB195, bitIndex2)))))),
% 8.85/6.78 inference(quant_inst,[status(thm)],[])).
% 8.85/6.78 tff(30131,plain,
% 8.85/6.78 (v125(constB195) <=> (~(v90(constB195, bitIndex0) | (~v90(constB195, bitIndex1)) | (~v90(constB195, bitIndex2))))),
% 8.85/6.78 inference(unit_resolution,[status(thm)],[30130, 3766])).
% 8.85/6.78 tff(30132,plain,
% 8.85/6.78 ((~(v90(constB195, bitIndex0) | (~v90(constB195, bitIndex1)) | (~v90(constB195, bitIndex2)))) | v90(constB195, bitIndex0) | (~v90(constB195, bitIndex1)) | (~v90(constB195, bitIndex2))),
% 8.85/6.78 inference(tautology,[status(thm)],[])).
% 8.85/6.78 tff(30133,plain,
% 8.85/6.78 (~(v90(constB195, bitIndex0) | (~v90(constB195, bitIndex1)) | (~v90(constB195, bitIndex2)))),
% 8.85/6.78 inference(unit_resolution,[status(thm)],[30132, 23953, 23931, 23909])).
% 8.85/6.78 tff(30134,plain,
% 8.85/6.78 ((~(v125(constB195) <=> (~(v90(constB195, bitIndex0) | (~v90(constB195, bitIndex1)) | (~v90(constB195, bitIndex2)))))) | v125(constB195) | (v90(constB195, bitIndex0) | (~v90(constB195, bitIndex1)) | (~v90(constB195, bitIndex2)))),
% 8.85/6.78 inference(tautology,[status(thm)],[])).
% 8.85/6.78 tff(30135,plain,
% 8.85/6.78 (v125(constB195)),
% 8.85/6.78 inference(unit_resolution,[status(thm)],[30134, 30133, 30131])).
% 8.85/6.78 tff(30136,plain,
% 8.85/6.78 ((v114(constB195) | v125(constB195)) | (~v125(constB195))),
% 8.85/6.78 inference(tautology,[status(thm)],[])).
% 8.85/6.78 tff(30137,plain,
% 8.85/6.78 (v114(constB195) | v125(constB195)),
% 8.85/6.78 inference(unit_resolution,[status(thm)],[30136, 30135])).
% 8.85/6.78 tff(30138,plain,
% 8.85/6.78 ((~(v113(constB195) <=> (v114(constB195) | v125(constB195)))) | v113(constB195) | (~(v114(constB195) | v125(constB195)))),
% 8.85/6.78 inference(tautology,[status(thm)],[])).
% 8.85/6.78 tff(30139,plain,
% 8.85/6.78 (v113(constB195)),
% 8.85/6.78 inference(unit_resolution,[status(thm)],[30138, 30137, 30129])).
% 8.85/6.78 tff(30140,plain,
% 8.85/6.78 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB195)) <=> v111(constB195))),
% 8.85/6.78 inference(quant_inst,[status(thm)],[])).
% 8.85/6.78 tff(30141,plain,
% 8.85/6.78 ((~v126(constB195)) <=> v111(constB195)),
% 8.85/6.78 inference(unit_resolution,[status(thm)],[30140, 3396])).
% 8.85/6.78 tff(30142,plain,
% 8.85/6.78 ((~((~v126(constB195)) <=> v111(constB195))) | v126(constB195) | v111(constB195)),
% 8.85/6.78 inference(tautology,[status(thm)],[])).
% 8.85/6.78 tff(30143,plain,
% 8.85/6.78 ((~((~v126(constB195)) <=> v111(constB195))) | v126(constB195)),
% 8.85/6.78 inference(unit_resolution,[status(thm)],[30142, 30010])).
% 8.85/6.78 tff(30144,plain,
% 8.85/6.78 (v126(constB195)),
% 8.85/6.78 inference(unit_resolution,[status(thm)],[30143, 30141])).
% 8.85/6.78 tff(30145,plain,
% 8.85/6.78 ((~((~v113(constB195)) | (~v126(constB195)))) | (~v113(constB195)) | (~v126(constB195))),
% 8.85/6.78 inference(tautology,[status(thm)],[])).
% 8.85/6.78 tff(30146,plain,
% 8.85/6.78 ((~((~v113(constB195)) | (~v126(constB195)))) | (~v113(constB195))),
% 8.85/6.78 inference(unit_resolution,[status(thm)],[30145, 30144])).
% 8.85/6.78 tff(30147,plain,
% 8.85/6.78 (~((~v113(constB195)) | (~v126(constB195)))),
% 8.85/6.78 inference(unit_resolution,[status(thm)],[30146, 30139])).
% 8.85/6.78 tff(30148,plain,
% 8.85/6.78 ((~(v112(constB195) <=> (~((~v113(constB195)) | (~v126(constB195)))))) | v112(constB195) | ((~v113(constB195)) | (~v126(constB195)))),
% 8.85/6.78 inference(tautology,[status(thm)],[])).
% 8.85/6.78 tff(30149,plain,
% 8.85/6.78 (v112(constB195)),
% 8.85/6.78 inference(unit_resolution,[status(thm)],[30148, 30147, 30127])).
% 8.85/6.78 tff(30150,plain,
% 8.85/6.78 ((v111(constB195) | v112(constB195)) | (~v112(constB195))),
% 8.85/6.78 inference(tautology,[status(thm)],[])).
% 8.85/6.78 tff(30151,plain,
% 8.85/6.78 (v111(constB195) | v112(constB195)),
% 8.85/6.78 inference(unit_resolution,[status(thm)],[30150, 30149])).
% 8.85/6.78 tff(30152,plain,
% 8.85/6.78 ((~(v108(constB195) <=> (v111(constB195) | v112(constB195)))) | v108(constB195) | (~(v111(constB195) | v112(constB195)))),
% 8.85/6.78 inference(tautology,[status(thm)],[])).
% 8.85/6.78 tff(30153,plain,
% 8.85/6.78 (v108(constB195)),
% 8.85/6.78 inference(unit_resolution,[status(thm)],[30152, 30151, 30125])).
% 8.85/6.78 tff(30154,plain,
% 8.85/6.78 ((~(v110(constB196) <=> v108(constB195))) | v110(constB196) | (~v108(constB195))),
% 8.85/6.78 inference(tautology,[status(thm)],[])).
% 8.85/6.78 tff(30155,plain,
% 8.85/6.78 (v110(constB196)),
% 8.85/6.78 inference(unit_resolution,[status(thm)],[30154, 30153, 30123])).
% 8.85/6.78 tff(30156,plain,
% 8.85/6.78 ((~((~v101(constB196)) | (~v110(constB196)))) | (~v101(constB196)) | (~v110(constB196))),
% 8.85/6.78 inference(tautology,[status(thm)],[])).
% 8.85/6.78 tff(30157,plain,
% 8.85/6.78 (~((~v101(constB196)) | (~v110(constB196)))),
% 8.85/6.78 inference(unit_resolution,[status(thm)],[30156, 30155, 30119])).
% 8.85/6.78 tff(30158,plain,
% 8.85/6.78 ((~(v100(constB196) <=> (~((~v101(constB196)) | (~v110(constB196)))))) | v100(constB196) | ((~v101(constB196)) | (~v110(constB196)))),
% 8.85/6.78 inference(tautology,[status(thm)],[])).
% 8.85/6.78 tff(30159,plain,
% 8.85/6.78 (v100(constB196)),
% 8.85/6.78 inference(unit_resolution,[status(thm)],[30158, 30157, 30094])).
% 8.85/6.78 tff(30160,plain,
% 8.85/6.78 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB196)) | (~(((~v90(constB196, bitIndex2)) <=> v129(constB196, bitIndex2)) | ((~v90(constB196, bitIndex1)) <=> v129(constB196, bitIndex1)) | ((~v90(constB196, bitIndex0)) <=> v129(constB196, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB196)) | (~(((~v90(constB196, bitIndex2)) <=> v129(constB196, bitIndex2)) | ((~v90(constB196, bitIndex1)) <=> v129(constB196, bitIndex1)) | ((~v90(constB196, bitIndex0)) <=> v129(constB196, bitIndex0)))))),
% 8.85/6.78 inference(rewrite,[status(thm)],[])).
% 8.85/6.78 tff(30161,plain,
% 8.85/6.78 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB196)) | (~(((~v90(constB196, bitIndex2)) <=> v129(constB196, bitIndex2)) | ((~v90(constB196, bitIndex1)) <=> v129(constB196, bitIndex1)) | ((~v90(constB196, bitIndex0)) <=> v129(constB196, bitIndex0)))))),
% 8.85/6.78 inference(quant_inst,[status(thm)],[])).
% 8.85/6.78 tff(30162,plain,
% 8.85/6.78 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB196)) | (~(((~v90(constB196, bitIndex2)) <=> v129(constB196, bitIndex2)) | ((~v90(constB196, bitIndex1)) <=> v129(constB196, bitIndex1)) | ((~v90(constB196, bitIndex0)) <=> v129(constB196, bitIndex0))))),
% 8.85/6.78 inference(modus_ponens,[status(thm)],[30161, 30160])).
% 8.85/6.78 tff(30163,plain,
% 8.85/6.78 ((~v100(constB196)) | (~(((~v90(constB196, bitIndex2)) <=> v129(constB196, bitIndex2)) | ((~v90(constB196, bitIndex1)) <=> v129(constB196, bitIndex1)) | ((~v90(constB196, bitIndex0)) <=> v129(constB196, bitIndex0))))),
% 8.85/6.78 inference(unit_resolution,[status(thm)],[30162, 3429])).
% 8.85/6.78 tff(30164,plain,
% 8.85/6.78 (~(((~v90(constB196, bitIndex2)) <=> v129(constB196, bitIndex2)) | ((~v90(constB196, bitIndex1)) <=> v129(constB196, bitIndex1)) | ((~v90(constB196, bitIndex0)) <=> v129(constB196, bitIndex0)))),
% 8.85/6.78 inference(unit_resolution,[status(thm)],[30163, 30159])).
% 8.85/6.78 tff(30165,plain,
% 8.85/6.78 ((((~v90(constB196, bitIndex2)) <=> v129(constB196, bitIndex2)) | ((~v90(constB196, bitIndex1)) <=> v129(constB196, bitIndex1)) | ((~v90(constB196, bitIndex0)) <=> v129(constB196, bitIndex0))) | (~((~v90(constB196, bitIndex2)) <=> v129(constB196, bitIndex2)))),
% 8.85/6.78 inference(tautology,[status(thm)],[])).
% 8.85/6.78 tff(30166,plain,
% 8.85/6.78 (~((~v90(constB196, bitIndex2)) <=> v129(constB196, bitIndex2))),
% 8.85/6.78 inference(unit_resolution,[status(thm)],[30165, 30164])).
% 8.85/6.78 tff(30167,plain,
% 8.85/6.78 (((~v90(constB196, bitIndex2)) <=> v129(constB196, bitIndex2)) | (~v90(constB196, bitIndex2)) | v129(constB196, bitIndex2)),
% 8.85/6.78 inference(tautology,[status(thm)],[])).
% 8.85/6.78 tff(30168,plain,
% 8.85/6.78 (~v90(constB196, bitIndex2)),
% 8.85/6.78 inference(unit_resolution,[status(thm)],[30167, 30166, 30090])).
% 8.85/6.78 tff(30169,plain,
% 8.85/6.78 (((~v90(constB197, bitIndex2)) <=> v90(constB196, bitIndex2)) | (~v90(constB197, bitIndex2)) | v90(constB196, bitIndex2)),
% 8.85/6.78 inference(tautology,[status(thm)],[])).
% 8.85/6.78 tff(30170,plain,
% 8.85/6.78 (~v90(constB197, bitIndex2)),
% 8.85/6.78 inference(unit_resolution,[status(thm)],[30169, 30168, 29997])).
% 8.85/6.78 tff(30171,plain,
% 8.85/6.78 ((((~v90(constB197, bitIndex1)) <=> v90(constB196, bitIndex1)) | ((~v90(constB197, bitIndex2)) <=> v90(constB196, bitIndex2)) | ((~v90(constB197, bitIndex0)) <=> v90(constB196, bitIndex0))) | (~((~v90(constB197, bitIndex0)) <=> v90(constB196, bitIndex0)))),
% 8.85/6.78 inference(tautology,[status(thm)],[])).
% 8.85/6.78 tff(30172,plain,
% 8.85/6.78 (~((~v90(constB197, bitIndex0)) <=> v90(constB196, bitIndex0))),
% 8.85/6.78 inference(unit_resolution,[status(thm)],[30171, 29995])).
% 8.85/6.78 tff(30173,plain,
% 8.85/6.78 ((((~v129(constB196, bitIndex2)) <=> v127(constB195, bitIndex2)) | ((~v129(constB196, bitIndex1)) <=> v127(constB195, bitIndex1)) | ((~v129(constB196, bitIndex0)) <=> v127(constB195, bitIndex0))) | (~((~v129(constB196, bitIndex0)) <=> v127(constB195, bitIndex0)))),
% 8.85/6.78 inference(tautology,[status(thm)],[])).
% 8.85/6.78 tff(30174,plain,
% 8.85/6.78 (~((~v129(constB196, bitIndex0)) <=> v127(constB195, bitIndex0))),
% 8.85/6.78 inference(unit_resolution,[status(thm)],[30173, 30001])).
% 8.85/6.78 tff(30175,plain,
% 8.85/6.78 ((((~v127(constB195, bitIndex2)) <=> v130(constB195, bitIndex2)) | ((~v127(constB195, bitIndex1)) <=> v130(constB195, bitIndex1)) | ((~v127(constB195, bitIndex0)) <=> v130(constB195, bitIndex0))) | (~((~v127(constB195, bitIndex0)) <=> v130(constB195, bitIndex0)))),
% 8.85/6.78 inference(tautology,[status(thm)],[])).
% 8.85/6.78 tff(30176,plain,
% 8.85/6.78 (~((~v127(constB195, bitIndex0)) <=> v130(constB195, bitIndex0))),
% 8.85/6.78 inference(unit_resolution,[status(thm)],[30175, 30015])).
% 8.85/6.78 tff(30177,plain,
% 8.85/6.78 ((v130(constB195, bitIndex2) | v130(constB195, bitIndex1) | (~v130(constB195, bitIndex0))) | v130(constB195, bitIndex0)),
% 8.85/6.78 inference(tautology,[status(thm)],[])).
% 8.85/6.78 tff(30178,plain,
% 8.85/6.78 (v130(constB195, bitIndex0)),
% 8.85/6.78 inference(unit_resolution,[status(thm)],[30177, 30084])).
% 8.85/6.78 tff(30179,plain,
% 8.85/6.78 (((~v127(constB195, bitIndex0)) <=> v130(constB195, bitIndex0)) | v127(constB195, bitIndex0) | (~v130(constB195, bitIndex0))),
% 8.85/6.78 inference(tautology,[status(thm)],[])).
% 8.85/6.78 tff(30180,plain,
% 8.85/6.78 (v127(constB195, bitIndex0)),
% 8.85/6.78 inference(unit_resolution,[status(thm)],[30179, 30178, 30176])).
% 8.85/6.78 tff(30181,plain,
% 8.85/6.78 (((~v129(constB196, bitIndex0)) <=> v127(constB195, bitIndex0)) | v129(constB196, bitIndex0) | (~v127(constB195, bitIndex0))),
% 8.85/6.78 inference(tautology,[status(thm)],[])).
% 8.85/6.78 tff(30182,plain,
% 8.85/6.78 (v129(constB196, bitIndex0)),
% 8.85/6.78 inference(unit_resolution,[status(thm)],[30181, 30180, 30174])).
% 8.85/6.78 tff(30183,plain,
% 8.85/6.78 ((((~v90(constB196, bitIndex2)) <=> v129(constB196, bitIndex2)) | ((~v90(constB196, bitIndex1)) <=> v129(constB196, bitIndex1)) | ((~v90(constB196, bitIndex0)) <=> v129(constB196, bitIndex0))) | (~((~v90(constB196, bitIndex0)) <=> v129(constB196, bitIndex0)))),
% 8.85/6.78 inference(tautology,[status(thm)],[])).
% 8.85/6.78 tff(30184,plain,
% 8.85/6.78 (~((~v90(constB196, bitIndex0)) <=> v129(constB196, bitIndex0))),
% 8.85/6.78 inference(unit_resolution,[status(thm)],[30183, 30164])).
% 8.85/6.78 tff(30185,plain,
% 8.85/6.78 (((~v90(constB196, bitIndex0)) <=> v129(constB196, bitIndex0)) | v90(constB196, bitIndex0) | (~v129(constB196, bitIndex0))),
% 8.85/6.78 inference(tautology,[status(thm)],[])).
% 8.85/6.78 tff(30186,plain,
% 8.85/6.78 (v90(constB196, bitIndex0)),
% 8.85/6.78 inference(unit_resolution,[status(thm)],[30185, 30184, 30182])).
% 8.85/6.78 tff(30187,plain,
% 8.85/6.78 (((~v90(constB197, bitIndex0)) <=> v90(constB196, bitIndex0)) | v90(constB197, bitIndex0) | (~v90(constB196, bitIndex0))),
% 8.85/6.78 inference(tautology,[status(thm)],[])).
% 8.85/6.78 tff(30188,plain,
% 8.85/6.78 (v90(constB197, bitIndex0)),
% 8.85/6.78 inference(unit_resolution,[status(thm)],[30187, 30186, 30172])).
% 8.85/6.78 tff(30189,plain,
% 8.85/6.78 ((((~v90(constB197, bitIndex1)) <=> v90(constB196, bitIndex1)) | ((~v90(constB197, bitIndex2)) <=> v90(constB196, bitIndex2)) | ((~v90(constB197, bitIndex0)) <=> v90(constB196, bitIndex0))) | (~((~v90(constB197, bitIndex1)) <=> v90(constB196, bitIndex1)))),
% 8.85/6.78 inference(tautology,[status(thm)],[])).
% 8.85/6.78 tff(30190,plain,
% 8.85/6.78 (~((~v90(constB197, bitIndex1)) <=> v90(constB196, bitIndex1))),
% 8.85/6.78 inference(unit_resolution,[status(thm)],[30189, 29995])).
% 8.85/6.78 tff(30191,plain,
% 8.85/6.78 ((((~v129(constB196, bitIndex2)) <=> v127(constB195, bitIndex2)) | ((~v129(constB196, bitIndex1)) <=> v127(constB195, bitIndex1)) | ((~v129(constB196, bitIndex0)) <=> v127(constB195, bitIndex0))) | (~((~v129(constB196, bitIndex1)) <=> v127(constB195, bitIndex1)))),
% 8.85/6.78 inference(tautology,[status(thm)],[])).
% 8.85/6.78 tff(30192,plain,
% 8.85/6.78 (~((~v129(constB196, bitIndex1)) <=> v127(constB195, bitIndex1))),
% 8.85/6.78 inference(unit_resolution,[status(thm)],[30191, 30001])).
% 8.85/6.78 tff(30193,plain,
% 8.85/6.78 ((((~v127(constB195, bitIndex2)) <=> v130(constB195, bitIndex2)) | ((~v127(constB195, bitIndex1)) <=> v130(constB195, bitIndex1)) | ((~v127(constB195, bitIndex0)) <=> v130(constB195, bitIndex0))) | (~((~v127(constB195, bitIndex1)) <=> v130(constB195, bitIndex1)))),
% 8.85/6.78 inference(tautology,[status(thm)],[])).
% 8.85/6.78 tff(30194,plain,
% 8.85/6.78 (~((~v127(constB195, bitIndex1)) <=> v130(constB195, bitIndex1))),
% 8.85/6.78 inference(unit_resolution,[status(thm)],[30193, 30015])).
% 8.85/6.78 tff(30195,plain,
% 8.85/6.78 ((v130(constB195, bitIndex2) | v130(constB195, bitIndex1) | (~v130(constB195, bitIndex0))) | (~v130(constB195, bitIndex1))),
% 8.85/6.78 inference(tautology,[status(thm)],[])).
% 8.85/6.78 tff(30196,plain,
% 8.85/6.78 (~v130(constB195, bitIndex1)),
% 8.85/6.78 inference(unit_resolution,[status(thm)],[30195, 30084])).
% 8.85/6.78 tff(30197,plain,
% 8.85/6.78 (((~v127(constB195, bitIndex1)) <=> v130(constB195, bitIndex1)) | (~v127(constB195, bitIndex1)) | v130(constB195, bitIndex1)),
% 8.85/6.78 inference(tautology,[status(thm)],[])).
% 8.85/6.78 tff(30198,plain,
% 8.85/6.78 (~v127(constB195, bitIndex1)),
% 8.85/6.78 inference(unit_resolution,[status(thm)],[30197, 30196, 30194])).
% 8.85/6.78 tff(30199,plain,
% 8.85/6.78 (((~v129(constB196, bitIndex1)) <=> v127(constB195, bitIndex1)) | (~v129(constB196, bitIndex1)) | v127(constB195, bitIndex1)),
% 8.85/6.78 inference(tautology,[status(thm)],[])).
% 8.85/6.78 tff(30200,plain,
% 8.85/6.78 (~v129(constB196, bitIndex1)),
% 8.85/6.78 inference(unit_resolution,[status(thm)],[30199, 30198, 30192])).
% 8.85/6.78 tff(30201,plain,
% 8.85/6.78 ((((~v90(constB196, bitIndex2)) <=> v129(constB196, bitIndex2)) | ((~v90(constB196, bitIndex1)) <=> v129(constB196, bitIndex1)) | ((~v90(constB196, bitIndex0)) <=> v129(constB196, bitIndex0))) | (~((~v90(constB196, bitIndex1)) <=> v129(constB196, bitIndex1)))),
% 8.85/6.78 inference(tautology,[status(thm)],[])).
% 8.85/6.78 tff(30202,plain,
% 8.85/6.78 (~((~v90(constB196, bitIndex1)) <=> v129(constB196, bitIndex1))),
% 8.85/6.78 inference(unit_resolution,[status(thm)],[30201, 30164])).
% 8.85/6.78 tff(30203,plain,
% 8.85/6.78 (((~v90(constB196, bitIndex1)) <=> v129(constB196, bitIndex1)) | (~v90(constB196, bitIndex1)) | v129(constB196, bitIndex1)),
% 8.85/6.78 inference(tautology,[status(thm)],[])).
% 8.85/6.78 tff(30204,plain,
% 8.85/6.78 (~v90(constB196, bitIndex1)),
% 8.85/6.78 inference(unit_resolution,[status(thm)],[30203, 30202, 30200])).
% 8.85/6.78 tff(30205,plain,
% 8.85/6.78 (((~v90(constB197, bitIndex1)) <=> v90(constB196, bitIndex1)) | (~v90(constB197, bitIndex1)) | v90(constB196, bitIndex1)),
% 8.85/6.78 inference(tautology,[status(thm)],[])).
% 8.85/6.78 tff(30206,plain,
% 8.85/6.78 (~v90(constB197, bitIndex1)),
% 8.85/6.78 inference(unit_resolution,[status(thm)],[30205, 30204, 30190])).
% 8.85/6.78 tff(30207,plain,
% 8.85/6.78 ((~(v90(constB197, bitIndex1) | v90(constB197, bitIndex2) | (~v90(constB197, bitIndex0)))) | v90(constB197, bitIndex1) | v90(constB197, bitIndex2) | (~v90(constB197, bitIndex0))),
% 8.85/6.78 inference(tautology,[status(thm)],[])).
% 8.85/6.78 tff(30208,plain,
% 8.85/6.78 (~(v90(constB197, bitIndex1) | v90(constB197, bitIndex2) | (~v90(constB197, bitIndex0)))),
% 8.85/6.78 inference(unit_resolution,[status(thm)],[30207, 30206, 30188, 30170])).
% 8.85/6.78 tff(30209,plain,
% 8.85/6.78 ((~(v120(constB197) <=> (~(v90(constB197, bitIndex1) | v90(constB197, bitIndex2) | (~v90(constB197, bitIndex0)))))) | v120(constB197) | (v90(constB197, bitIndex1) | v90(constB197, bitIndex2) | (~v90(constB197, bitIndex0)))),
% 8.85/6.78 inference(tautology,[status(thm)],[])).
% 8.85/6.78 tff(30210,plain,
% 8.85/6.78 (v120(constB197)),
% 8.85/6.78 inference(unit_resolution,[status(thm)],[30209, 30208, 29964])).
% 8.85/6.78 tff(30211,plain,
% 8.85/6.78 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB197)) | (~(v130(constB197, bitIndex2) | v130(constB197, bitIndex0) | (~v130(constB197, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB197)) | (~(v130(constB197, bitIndex2) | v130(constB197, bitIndex0) | (~v130(constB197, bitIndex1)))))),
% 8.85/6.78 inference(rewrite,[status(thm)],[])).
% 8.85/6.78 tff(30212,plain,
% 8.85/6.78 (((~v120(constB197)) | (~(v130(constB197, bitIndex0) | v130(constB197, bitIndex2) | (~v130(constB197, bitIndex1))))) <=> ((~v120(constB197)) | (~(v130(constB197, bitIndex2) | v130(constB197, bitIndex0) | (~v130(constB197, bitIndex1)))))),
% 8.85/6.78 inference(rewrite,[status(thm)],[])).
% 8.85/6.78 tff(30213,plain,
% 8.85/6.78 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB197)) | (~(v130(constB197, bitIndex0) | v130(constB197, bitIndex2) | (~v130(constB197, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB197)) | (~(v130(constB197, bitIndex2) | v130(constB197, bitIndex0) | (~v130(constB197, bitIndex1))))))),
% 8.85/6.78 inference(monotonicity,[status(thm)],[30212])).
% 8.85/6.78 tff(30214,plain,
% 8.85/6.78 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB197)) | (~(v130(constB197, bitIndex0) | v130(constB197, bitIndex2) | (~v130(constB197, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB197)) | (~(v130(constB197, bitIndex2) | v130(constB197, bitIndex0) | (~v130(constB197, bitIndex1)))))),
% 8.85/6.78 inference(transitivity,[status(thm)],[30213, 30211])).
% 8.85/6.78 tff(30215,plain,
% 8.85/6.78 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB197)) | (~(v130(constB197, bitIndex0) | v130(constB197, bitIndex2) | (~v130(constB197, bitIndex1)))))),
% 8.85/6.78 inference(quant_inst,[status(thm)],[])).
% 8.85/6.78 tff(30216,plain,
% 8.85/6.78 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB197)) | (~(v130(constB197, bitIndex2) | v130(constB197, bitIndex0) | (~v130(constB197, bitIndex1))))),
% 8.85/6.78 inference(modus_ponens,[status(thm)],[30215, 30214])).
% 8.87/6.78 tff(30217,plain,
% 8.87/6.78 ((~v120(constB197)) | (~(v130(constB197, bitIndex2) | v130(constB197, bitIndex0) | (~v130(constB197, bitIndex1))))),
% 8.87/6.78 inference(unit_resolution,[status(thm)],[30216, 3881])).
% 8.87/6.78 tff(30218,plain,
% 8.87/6.78 (~(v130(constB197, bitIndex2) | v130(constB197, bitIndex0) | (~v130(constB197, bitIndex1)))),
% 8.87/6.78 inference(unit_resolution,[status(thm)],[30217, 30210])).
% 8.87/6.78 tff(30219,plain,
% 8.87/6.78 ((v130(constB197, bitIndex2) | v130(constB197, bitIndex0) | (~v130(constB197, bitIndex1))) | (~v130(constB197, bitIndex2))),
% 8.87/6.78 inference(tautology,[status(thm)],[])).
% 8.87/6.78 tff(30220,plain,
% 8.87/6.78 (~v130(constB197, bitIndex2)),
% 8.87/6.78 inference(unit_resolution,[status(thm)],[30219, 30218])).
% 8.87/6.78 tff(30221,plain,
% 8.87/6.78 (((~v127(constB197, bitIndex2)) <=> v130(constB197, bitIndex2)) | (~v127(constB197, bitIndex2)) | v130(constB197, bitIndex2)),
% 8.87/6.78 inference(tautology,[status(thm)],[])).
% 8.87/6.78 tff(30222,plain,
% 8.87/6.78 (~v127(constB197, bitIndex2)),
% 8.87/6.78 inference(unit_resolution,[status(thm)],[30221, 30220, 29962])).
% 8.87/6.78 tff(30223,plain,
% 8.87/6.78 (((~v129(constB198, bitIndex2)) <=> v127(constB197, bitIndex2)) | (~v129(constB198, bitIndex2)) | v127(constB197, bitIndex2)),
% 8.87/6.78 inference(tautology,[status(thm)],[])).
% 8.87/6.78 tff(30224,plain,
% 8.87/6.78 (~v129(constB198, bitIndex2)),
% 8.87/6.78 inference(unit_resolution,[status(thm)],[30223, 30222, 29948])).
% 8.87/6.78 tff(30225,plain,
% 8.87/6.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB197, constB198)) | (v100(constB198) <=> (~((~v101(constB198)) | (~v110(constB198))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB197, constB198)) | (v100(constB198) <=> (~((~v101(constB198)) | (~v110(constB198))))))),
% 8.87/6.78 inference(rewrite,[status(thm)],[])).
% 8.87/6.78 tff(30226,plain,
% 8.87/6.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB197, constB198)) | (v100(constB198) <=> (~((~v101(constB198)) | (~v110(constB198))))))),
% 8.87/6.79 inference(quant_inst,[status(thm)],[])).
% 8.87/6.79 tff(30227,plain,
% 8.87/6.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB197, constB198)) | (v100(constB198) <=> (~((~v101(constB198)) | (~v110(constB198)))))),
% 8.87/6.79 inference(modus_ponens,[status(thm)],[30226, 30225])).
% 8.87/6.79 tff(30228,plain,
% 8.87/6.79 (v100(constB198) <=> (~((~v101(constB198)) | (~v110(constB198))))),
% 8.87/6.79 inference(unit_resolution,[status(thm)],[30227, 29942, 445])).
% 8.87/6.79 tff(30229,plain,
% 8.87/6.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB197, constB198)) | (v101(constB198) <=> (~((~v1(constB198)) | (~v102(constB198))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB197, constB198)) | (v101(constB198) <=> (~((~v1(constB198)) | (~v102(constB198))))))),
% 8.87/6.79 inference(rewrite,[status(thm)],[])).
% 8.87/6.79 tff(30230,plain,
% 8.87/6.79 (((~nextState(constB197, constB198)) | (v101(constB198) <=> (~((~v102(constB198)) | (~v1(constB198)))))) <=> ((~nextState(constB197, constB198)) | (v101(constB198) <=> (~((~v1(constB198)) | (~v102(constB198))))))),
% 8.87/6.79 inference(rewrite,[status(thm)],[])).
% 8.87/6.79 tff(30231,plain,
% 8.87/6.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB197, constB198)) | (v101(constB198) <=> (~((~v102(constB198)) | (~v1(constB198))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB197, constB198)) | (v101(constB198) <=> (~((~v1(constB198)) | (~v102(constB198)))))))),
% 8.87/6.79 inference(monotonicity,[status(thm)],[30230])).
% 8.87/6.79 tff(30232,plain,
% 8.87/6.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB197, constB198)) | (v101(constB198) <=> (~((~v102(constB198)) | (~v1(constB198))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB197, constB198)) | (v101(constB198) <=> (~((~v1(constB198)) | (~v102(constB198))))))),
% 8.87/6.79 inference(transitivity,[status(thm)],[30231, 30229])).
% 8.87/6.79 tff(30233,plain,
% 8.87/6.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB197, constB198)) | (v101(constB198) <=> (~((~v102(constB198)) | (~v1(constB198))))))),
% 8.87/6.79 inference(quant_inst,[status(thm)],[])).
% 8.87/6.79 tff(30234,plain,
% 8.87/6.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB197, constB198)) | (v101(constB198) <=> (~((~v1(constB198)) | (~v102(constB198)))))),
% 8.87/6.79 inference(modus_ponens,[status(thm)],[30233, 30232])).
% 8.87/6.79 tff(30235,plain,
% 8.87/6.79 (v101(constB198) <=> (~((~v1(constB198)) | (~v102(constB198))))),
% 8.87/6.79 inference(unit_resolution,[status(thm)],[30234, 29942, 465])).
% 8.87/6.79 tff(30236,plain,
% 8.87/6.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB197, constB198)) | ((~v102(constB198)) <=> v104(constB198)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB197, constB198)) | ((~v102(constB198)) <=> v104(constB198)))),
% 8.87/6.79 inference(rewrite,[status(thm)],[])).
% 8.87/6.79 tff(30237,plain,
% 8.87/6.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB197, constB198)) | ((~v102(constB198)) <=> v104(constB198)))),
% 8.87/6.79 inference(quant_inst,[status(thm)],[])).
% 8.87/6.79 tff(30238,plain,
% 8.87/6.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB197, constB198)) | ((~v102(constB198)) <=> v104(constB198))),
% 8.87/6.79 inference(modus_ponens,[status(thm)],[30237, 30236])).
% 8.87/6.79 tff(30239,plain,
% 8.87/6.79 ((~v102(constB198)) <=> v104(constB198)),
% 8.87/6.79 inference(unit_resolution,[status(thm)],[30238, 29942, 3244])).
% 8.87/6.79 tff(30240,plain,
% 8.87/6.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB197, constB198)) | (v104(constB198) <=> v1(constB197)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB197, constB198)) | (v104(constB198) <=> v1(constB197)))),
% 8.87/6.79 inference(rewrite,[status(thm)],[])).
% 8.87/6.79 tff(30241,plain,
% 8.87/6.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB197, constB198)) | (v104(constB198) <=> v1(constB197)))),
% 8.87/6.79 inference(quant_inst,[status(thm)],[])).
% 8.87/6.79 tff(30242,plain,
% 8.87/6.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB197, constB198)) | (v104(constB198) <=> v1(constB197))),
% 8.87/6.79 inference(modus_ponens,[status(thm)],[30241, 30240])).
% 8.87/6.79 tff(30243,plain,
% 8.87/6.79 (v104(constB198) <=> v1(constB197)),
% 8.87/6.79 inference(unit_resolution,[status(thm)],[30242, 29942, 3258])).
% 8.87/6.79 tff(30244,plain,
% 8.87/6.79 ((~(v104(constB198) <=> v1(constB197))) | (~v104(constB198)) | v1(constB197)),
% 8.87/6.79 inference(tautology,[status(thm)],[])).
% 8.87/6.79 tff(30245,plain,
% 8.87/6.79 ((~(v104(constB198) <=> v1(constB197))) | (~v104(constB198))),
% 8.87/6.79 inference(unit_resolution,[status(thm)],[30244, 29978])).
% 8.87/6.79 tff(30246,plain,
% 8.87/6.79 (~v104(constB198)),
% 8.87/6.79 inference(unit_resolution,[status(thm)],[30245, 30243])).
% 8.87/6.79 tff(30247,plain,
% 8.87/6.79 ((~((~v102(constB198)) <=> v104(constB198))) | v102(constB198) | v104(constB198)),
% 8.87/6.79 inference(tautology,[status(thm)],[])).
% 8.87/6.79 tff(30248,plain,
% 8.87/6.79 (v102(constB198)),
% 8.87/6.79 inference(unit_resolution,[status(thm)],[30247, 30246, 30239])).
% 8.87/6.79 tff(30249,plain,
% 8.87/6.79 (v1(constB198) <=> v1(constB198)),
% 8.87/6.79 inference(rewrite,[status(thm)],[])).
% 8.87/6.79 tff(30250,axiom,(v1(constB198)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_198')).
% 8.87/6.79 tff(30251,plain,
% 8.87/6.79 (v1(constB198)),
% 8.87/6.79 inference(modus_ponens,[status(thm)],[30250, 30249])).
% 8.87/6.79 tff(30252,plain,
% 8.87/6.79 ((~((~v1(constB198)) | (~v102(constB198)))) | (~v1(constB198)) | (~v102(constB198))),
% 8.87/6.79 inference(tautology,[status(thm)],[])).
% 8.87/6.79 tff(30253,plain,
% 8.87/6.79 ((~((~v1(constB198)) | (~v102(constB198)))) | (~v102(constB198))),
% 8.87/6.79 inference(unit_resolution,[status(thm)],[30252, 30251])).
% 8.87/6.79 tff(30254,plain,
% 8.87/6.79 (~((~v1(constB198)) | (~v102(constB198)))),
% 8.87/6.79 inference(unit_resolution,[status(thm)],[30253, 30248])).
% 8.87/6.79 tff(30255,plain,
% 8.87/6.79 ((~(v101(constB198) <=> (~((~v1(constB198)) | (~v102(constB198)))))) | v101(constB198) | ((~v1(constB198)) | (~v102(constB198)))),
% 8.87/6.79 inference(tautology,[status(thm)],[])).
% 8.87/6.79 tff(30256,plain,
% 8.87/6.79 (v101(constB198)),
% 8.87/6.79 inference(unit_resolution,[status(thm)],[30255, 30254, 30235])).
% 8.87/6.79 tff(30257,plain,
% 8.87/6.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB197, constB198)) | (v110(constB198) <=> v108(constB197)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB197, constB198)) | (v110(constB198) <=> v108(constB197)))),
% 8.87/6.79 inference(rewrite,[status(thm)],[])).
% 8.87/6.79 tff(30258,plain,
% 8.87/6.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB197, constB198)) | (v110(constB198) <=> v108(constB197)))),
% 8.87/6.79 inference(quant_inst,[status(thm)],[])).
% 8.87/6.79 tff(30259,plain,
% 8.87/6.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB197, constB198)) | (v110(constB198) <=> v108(constB197))),
% 8.87/6.79 inference(modus_ponens,[status(thm)],[30258, 30257])).
% 8.87/6.79 tff(30260,plain,
% 8.87/6.79 (v110(constB198) <=> v108(constB197)),
% 8.87/6.79 inference(unit_resolution,[status(thm)],[30259, 29942, 3285])).
% 8.87/6.79 tff(30261,plain,
% 8.87/6.79 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB197) <=> (v111(constB197) | v112(constB197)))),
% 8.87/6.79 inference(quant_inst,[status(thm)],[])).
% 8.87/6.79 tff(30262,plain,
% 8.87/6.79 (v108(constB197) <=> (v111(constB197) | v112(constB197))),
% 8.87/6.79 inference(unit_resolution,[status(thm)],[30261, 3296])).
% 8.87/6.79 tff(30263,plain,
% 8.87/6.79 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB197) <=> (~((~v113(constB197)) | (~v126(constB197)))))),
% 8.87/6.79 inference(quant_inst,[status(thm)],[])).
% 8.87/6.79 tff(30264,plain,
% 8.87/6.79 (v112(constB197) <=> (~((~v113(constB197)) | (~v126(constB197))))),
% 8.87/6.79 inference(unit_resolution,[status(thm)],[30263, 3308])).
% 8.87/6.79 tff(30265,plain,
% 8.87/6.79 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB197) <=> (v114(constB197) | v125(constB197)))),
% 8.87/6.79 inference(quant_inst,[status(thm)],[])).
% 8.87/6.79 tff(30266,plain,
% 8.87/6.79 (v113(constB197) <=> (v114(constB197) | v125(constB197))),
% 8.87/6.79 inference(unit_resolution,[status(thm)],[30265, 3317])).
% 8.87/6.79 tff(30267,plain,
% 8.87/6.79 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB197) <=> (v115(constB197) | v124(constB197)))),
% 8.87/6.79 inference(quant_inst,[status(thm)],[])).
% 8.87/6.79 tff(30268,plain,
% 8.87/6.79 (v114(constB197) <=> (v115(constB197) | v124(constB197))),
% 8.87/6.79 inference(unit_resolution,[status(thm)],[30267, 3326])).
% 8.87/6.79 tff(30269,plain,
% 8.87/6.79 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB197) <=> (v116(constB197) | v123(constB197)))),
% 8.87/6.79 inference(quant_inst,[status(thm)],[])).
% 8.87/6.79 tff(30270,plain,
% 8.87/6.79 (v115(constB197) <=> (v116(constB197) | v123(constB197))),
% 8.87/6.79 inference(unit_resolution,[status(thm)],[30269, 3335])).
% 8.87/6.79 tff(30271,plain,
% 8.87/6.79 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB197) <=> (v117(constB197) | v122(constB197)))),
% 8.87/6.79 inference(quant_inst,[status(thm)],[])).
% 8.87/6.79 tff(30272,plain,
% 8.87/6.79 (v116(constB197) <=> (v117(constB197) | v122(constB197))),
% 8.87/6.79 inference(unit_resolution,[status(thm)],[30271, 3344])).
% 8.87/6.79 tff(30273,plain,
% 8.87/6.79 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB197) <=> (v118(constB197) | v121(constB197)))),
% 8.87/6.79 inference(quant_inst,[status(thm)],[])).
% 8.87/6.79 tff(30274,plain,
% 8.87/6.79 (v117(constB197) <=> (v118(constB197) | v121(constB197))),
% 8.87/6.79 inference(unit_resolution,[status(thm)],[30273, 3353])).
% 8.87/6.79 tff(30275,plain,
% 8.87/6.79 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB197) <=> (v119(constB197) | v120(constB197)))),
% 8.87/6.79 inference(quant_inst,[status(thm)],[])).
% 8.87/6.79 tff(30276,plain,
% 8.87/6.79 (v118(constB197) <=> (v119(constB197) | v120(constB197))),
% 8.87/6.79 inference(unit_resolution,[status(thm)],[30275, 3362])).
% 8.87/6.79 tff(30277,plain,
% 8.87/6.79 ((v119(constB197) | v120(constB197)) | (~v120(constB197))),
% 8.87/6.79 inference(tautology,[status(thm)],[])).
% 8.87/6.79 tff(30278,plain,
% 8.87/6.79 (v119(constB197) | v120(constB197)),
% 8.87/6.79 inference(unit_resolution,[status(thm)],[30277, 30210])).
% 8.87/6.79 tff(30279,plain,
% 8.87/6.79 ((~(v118(constB197) <=> (v119(constB197) | v120(constB197)))) | v118(constB197) | (~(v119(constB197) | v120(constB197)))),
% 8.87/6.79 inference(tautology,[status(thm)],[])).
% 8.87/6.79 tff(30280,plain,
% 8.87/6.79 (v118(constB197)),
% 8.87/6.79 inference(unit_resolution,[status(thm)],[30279, 30278, 30276])).
% 8.87/6.79 tff(30281,plain,
% 8.87/6.79 ((v118(constB197) | v121(constB197)) | (~v118(constB197))),
% 8.87/6.79 inference(tautology,[status(thm)],[])).
% 8.87/6.79 tff(30282,plain,
% 8.87/6.79 (v118(constB197) | v121(constB197)),
% 8.87/6.79 inference(unit_resolution,[status(thm)],[30281, 30280])).
% 8.87/6.79 tff(30283,plain,
% 8.87/6.79 ((~(v117(constB197) <=> (v118(constB197) | v121(constB197)))) | v117(constB197) | (~(v118(constB197) | v121(constB197)))),
% 8.87/6.79 inference(tautology,[status(thm)],[])).
% 8.87/6.79 tff(30284,plain,
% 8.87/6.79 (v117(constB197)),
% 8.87/6.79 inference(unit_resolution,[status(thm)],[30283, 30282, 30274])).
% 8.87/6.79 tff(30285,plain,
% 8.87/6.79 ((v117(constB197) | v122(constB197)) | (~v117(constB197))),
% 8.87/6.79 inference(tautology,[status(thm)],[])).
% 8.87/6.79 tff(30286,plain,
% 8.87/6.79 (v117(constB197) | v122(constB197)),
% 8.87/6.79 inference(unit_resolution,[status(thm)],[30285, 30284])).
% 8.87/6.79 tff(30287,plain,
% 8.87/6.79 ((~(v116(constB197) <=> (v117(constB197) | v122(constB197)))) | v116(constB197) | (~(v117(constB197) | v122(constB197)))),
% 8.87/6.79 inference(tautology,[status(thm)],[])).
% 8.87/6.79 tff(30288,plain,
% 8.87/6.79 (v116(constB197)),
% 8.87/6.79 inference(unit_resolution,[status(thm)],[30287, 30286, 30272])).
% 8.87/6.79 tff(30289,plain,
% 8.87/6.79 ((v116(constB197) | v123(constB197)) | (~v116(constB197))),
% 8.87/6.79 inference(tautology,[status(thm)],[])).
% 8.87/6.79 tff(30290,plain,
% 8.87/6.79 (v116(constB197) | v123(constB197)),
% 8.87/6.79 inference(unit_resolution,[status(thm)],[30289, 30288])).
% 8.87/6.79 tff(30291,plain,
% 8.87/6.79 ((~(v115(constB197) <=> (v116(constB197) | v123(constB197)))) | v115(constB197) | (~(v116(constB197) | v123(constB197)))),
% 8.87/6.79 inference(tautology,[status(thm)],[])).
% 8.87/6.79 tff(30292,plain,
% 8.87/6.79 (v115(constB197)),
% 8.87/6.79 inference(unit_resolution,[status(thm)],[30291, 30290, 30270])).
% 8.87/6.79 tff(30293,plain,
% 8.87/6.79 ((v115(constB197) | v124(constB197)) | (~v115(constB197))),
% 8.87/6.79 inference(tautology,[status(thm)],[])).
% 8.87/6.79 tff(30294,plain,
% 8.87/6.79 (v115(constB197) | v124(constB197)),
% 8.87/6.79 inference(unit_resolution,[status(thm)],[30293, 30292])).
% 8.87/6.79 tff(30295,plain,
% 8.87/6.79 ((~(v114(constB197) <=> (v115(constB197) | v124(constB197)))) | v114(constB197) | (~(v115(constB197) | v124(constB197)))),
% 8.87/6.79 inference(tautology,[status(thm)],[])).
% 8.87/6.79 tff(30296,plain,
% 8.87/6.79 (v114(constB197)),
% 8.87/6.79 inference(unit_resolution,[status(thm)],[30295, 30294, 30268])).
% 8.87/6.79 tff(30297,plain,
% 8.87/6.79 ((v114(constB197) | v125(constB197)) | (~v114(constB197))),
% 8.87/6.79 inference(tautology,[status(thm)],[])).
% 8.87/6.79 tff(30298,plain,
% 8.87/6.79 (v114(constB197) | v125(constB197)),
% 8.87/6.79 inference(unit_resolution,[status(thm)],[30297, 30296])).
% 8.87/6.79 tff(30299,plain,
% 8.87/6.79 ((~(v113(constB197) <=> (v114(constB197) | v125(constB197)))) | v113(constB197) | (~(v114(constB197) | v125(constB197)))),
% 8.87/6.79 inference(tautology,[status(thm)],[])).
% 8.87/6.79 tff(30300,plain,
% 8.87/6.79 (v113(constB197)),
% 8.87/6.79 inference(unit_resolution,[status(thm)],[30299, 30298, 30266])).
% 8.87/6.79 tff(30301,plain,
% 8.87/6.79 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB197)) <=> v111(constB197))),
% 8.87/6.79 inference(quant_inst,[status(thm)],[])).
% 8.87/6.79 tff(30302,plain,
% 8.87/6.79 ((~v126(constB197)) <=> v111(constB197)),
% 8.87/6.79 inference(unit_resolution,[status(thm)],[30301, 3396])).
% 8.87/6.79 tff(30303,plain,
% 8.87/6.79 ((~((~v126(constB197)) <=> v111(constB197))) | v126(constB197) | v111(constB197)),
% 8.87/6.79 inference(tautology,[status(thm)],[])).
% 8.87/6.79 tff(30304,plain,
% 8.87/6.79 ((~((~v126(constB197)) <=> v111(constB197))) | v126(constB197)),
% 8.87/6.79 inference(unit_resolution,[status(thm)],[30303, 29955])).
% 8.87/6.79 tff(30305,plain,
% 8.87/6.79 (v126(constB197)),
% 8.87/6.79 inference(unit_resolution,[status(thm)],[30304, 30302])).
% 8.87/6.79 tff(30306,plain,
% 8.87/6.79 ((~((~v113(constB197)) | (~v126(constB197)))) | (~v113(constB197)) | (~v126(constB197))),
% 8.87/6.79 inference(tautology,[status(thm)],[])).
% 8.87/6.79 tff(30307,plain,
% 8.87/6.79 ((~((~v113(constB197)) | (~v126(constB197)))) | (~v113(constB197))),
% 8.87/6.79 inference(unit_resolution,[status(thm)],[30306, 30305])).
% 8.87/6.79 tff(30308,plain,
% 8.87/6.79 (~((~v113(constB197)) | (~v126(constB197)))),
% 8.87/6.79 inference(unit_resolution,[status(thm)],[30307, 30300])).
% 8.87/6.79 tff(30309,plain,
% 8.87/6.79 ((~(v112(constB197) <=> (~((~v113(constB197)) | (~v126(constB197)))))) | v112(constB197) | ((~v113(constB197)) | (~v126(constB197)))),
% 8.87/6.79 inference(tautology,[status(thm)],[])).
% 8.87/6.79 tff(30310,plain,
% 8.87/6.79 (v112(constB197)),
% 8.87/6.79 inference(unit_resolution,[status(thm)],[30309, 30308, 30264])).
% 8.87/6.79 tff(30311,plain,
% 8.87/6.79 ((v111(constB197) | v112(constB197)) | (~v112(constB197))),
% 8.87/6.79 inference(tautology,[status(thm)],[])).
% 8.87/6.79 tff(30312,plain,
% 8.87/6.79 (v111(constB197) | v112(constB197)),
% 8.87/6.79 inference(unit_resolution,[status(thm)],[30311, 30310])).
% 8.87/6.79 tff(30313,plain,
% 8.87/6.79 ((~(v108(constB197) <=> (v111(constB197) | v112(constB197)))) | v108(constB197) | (~(v111(constB197) | v112(constB197)))),
% 8.87/6.79 inference(tautology,[status(thm)],[])).
% 8.87/6.79 tff(30314,plain,
% 8.87/6.79 (v108(constB197)),
% 8.87/6.79 inference(unit_resolution,[status(thm)],[30313, 30312, 30262])).
% 8.87/6.79 tff(30315,plain,
% 8.87/6.79 ((~(v110(constB198) <=> v108(constB197))) | v110(constB198) | (~v108(constB197))),
% 8.87/6.79 inference(tautology,[status(thm)],[])).
% 8.87/6.79 tff(30316,plain,
% 8.87/6.79 (v110(constB198)),
% 8.87/6.79 inference(unit_resolution,[status(thm)],[30315, 30314, 30260])).
% 8.87/6.79 tff(30317,plain,
% 8.87/6.79 ((~((~v101(constB198)) | (~v110(constB198)))) | (~v101(constB198)) | (~v110(constB198))),
% 8.87/6.79 inference(tautology,[status(thm)],[])).
% 8.87/6.79 tff(30318,plain,
% 8.87/6.79 (~((~v101(constB198)) | (~v110(constB198)))),
% 8.87/6.79 inference(unit_resolution,[status(thm)],[30317, 30316, 30256])).
% 8.87/6.79 tff(30319,plain,
% 8.87/6.79 ((~(v100(constB198) <=> (~((~v101(constB198)) | (~v110(constB198)))))) | v100(constB198) | ((~v101(constB198)) | (~v110(constB198)))),
% 8.87/6.79 inference(tautology,[status(thm)],[])).
% 8.87/6.79 tff(30320,plain,
% 8.87/6.79 (v100(constB198)),
% 8.87/6.79 inference(unit_resolution,[status(thm)],[30319, 30318, 30228])).
% 8.87/6.79 tff(30321,plain,
% 8.87/6.79 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB198)) | (~(((~v90(constB198, bitIndex0)) <=> v129(constB198, bitIndex0)) | ((~v90(constB198, bitIndex2)) <=> v129(constB198, bitIndex2)) | ((~v90(constB198, bitIndex1)) <=> v129(constB198, bitIndex1)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB198)) | (~(((~v90(constB198, bitIndex0)) <=> v129(constB198, bitIndex0)) | ((~v90(constB198, bitIndex2)) <=> v129(constB198, bitIndex2)) | ((~v90(constB198, bitIndex1)) <=> v129(constB198, bitIndex1)))))),
% 8.87/6.79 inference(rewrite,[status(thm)],[])).
% 8.87/6.79 tff(30322,plain,
% 8.87/6.79 (((~v100(constB198)) | (~(((~v90(constB198, bitIndex2)) <=> v129(constB198, bitIndex2)) | ((~v90(constB198, bitIndex1)) <=> v129(constB198, bitIndex1)) | ((~v90(constB198, bitIndex0)) <=> v129(constB198, bitIndex0))))) <=> ((~v100(constB198)) | (~(((~v90(constB198, bitIndex0)) <=> v129(constB198, bitIndex0)) | ((~v90(constB198, bitIndex2)) <=> v129(constB198, bitIndex2)) | ((~v90(constB198, bitIndex1)) <=> v129(constB198, bitIndex1)))))),
% 8.87/6.79 inference(rewrite,[status(thm)],[])).
% 8.87/6.79 tff(30323,plain,
% 8.87/6.79 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB198)) | (~(((~v90(constB198, bitIndex2)) <=> v129(constB198, bitIndex2)) | ((~v90(constB198, bitIndex1)) <=> v129(constB198, bitIndex1)) | ((~v90(constB198, bitIndex0)) <=> v129(constB198, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB198)) | (~(((~v90(constB198, bitIndex0)) <=> v129(constB198, bitIndex0)) | ((~v90(constB198, bitIndex2)) <=> v129(constB198, bitIndex2)) | ((~v90(constB198, bitIndex1)) <=> v129(constB198, bitIndex1))))))),
% 8.87/6.79 inference(monotonicity,[status(thm)],[30322])).
% 8.87/6.79 tff(30324,plain,
% 8.87/6.79 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB198)) | (~(((~v90(constB198, bitIndex2)) <=> v129(constB198, bitIndex2)) | ((~v90(constB198, bitIndex1)) <=> v129(constB198, bitIndex1)) | ((~v90(constB198, bitIndex0)) <=> v129(constB198, bitIndex0)))))) <=> ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB198)) | (~(((~v90(constB198, bitIndex0)) <=> v129(constB198, bitIndex0)) | ((~v90(constB198, bitIndex2)) <=> v129(constB198, bitIndex2)) | ((~v90(constB198, bitIndex1)) <=> v129(constB198, bitIndex1)))))),
% 8.87/6.79 inference(transitivity,[status(thm)],[30323, 30321])).
% 8.87/6.79 tff(30325,plain,
% 8.87/6.79 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB198)) | (~(((~v90(constB198, bitIndex2)) <=> v129(constB198, bitIndex2)) | ((~v90(constB198, bitIndex1)) <=> v129(constB198, bitIndex1)) | ((~v90(constB198, bitIndex0)) <=> v129(constB198, bitIndex0)))))),
% 8.87/6.79 inference(quant_inst,[status(thm)],[])).
% 8.87/6.79 tff(30326,plain,
% 8.87/6.79 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB198)) | (~(((~v90(constB198, bitIndex0)) <=> v129(constB198, bitIndex0)) | ((~v90(constB198, bitIndex2)) <=> v129(constB198, bitIndex2)) | ((~v90(constB198, bitIndex1)) <=> v129(constB198, bitIndex1))))),
% 8.87/6.79 inference(modus_ponens,[status(thm)],[30325, 30324])).
% 8.87/6.79 tff(30327,plain,
% 8.87/6.79 ((~v100(constB198)) | (~(((~v90(constB198, bitIndex0)) <=> v129(constB198, bitIndex0)) | ((~v90(constB198, bitIndex2)) <=> v129(constB198, bitIndex2)) | ((~v90(constB198, bitIndex1)) <=> v129(constB198, bitIndex1))))),
% 8.87/6.79 inference(unit_resolution,[status(thm)],[30326, 3429])).
% 8.87/6.79 tff(30328,plain,
% 8.87/6.79 (~(((~v90(constB198, bitIndex0)) <=> v129(constB198, bitIndex0)) | ((~v90(constB198, bitIndex2)) <=> v129(constB198, bitIndex2)) | ((~v90(constB198, bitIndex1)) <=> v129(constB198, bitIndex1)))),
% 8.87/6.79 inference(unit_resolution,[status(thm)],[30327, 30320])).
% 8.87/6.79 tff(30329,plain,
% 8.87/6.79 ((((~v90(constB198, bitIndex0)) <=> v129(constB198, bitIndex0)) | ((~v90(constB198, bitIndex2)) <=> v129(constB198, bitIndex2)) | ((~v90(constB198, bitIndex1)) <=> v129(constB198, bitIndex1))) | (~((~v90(constB198, bitIndex2)) <=> v129(constB198, bitIndex2)))),
% 8.87/6.79 inference(tautology,[status(thm)],[])).
% 8.87/6.79 tff(30330,plain,
% 8.87/6.79 (~((~v90(constB198, bitIndex2)) <=> v129(constB198, bitIndex2))),
% 8.87/6.79 inference(unit_resolution,[status(thm)],[30329, 30328])).
% 8.87/6.79 tff(30331,plain,
% 8.87/6.79 (((~v90(constB198, bitIndex2)) <=> v129(constB198, bitIndex2)) | (~v90(constB198, bitIndex2)) | v129(constB198, bitIndex2)),
% 8.87/6.79 inference(tautology,[status(thm)],[])).
% 8.87/6.79 tff(30332,plain,
% 8.87/6.79 (~v90(constB198, bitIndex2)),
% 8.87/6.79 inference(unit_resolution,[status(thm)],[30331, 30330, 30224])).
% 8.87/6.79 tff(30333,plain,
% 8.87/6.79 (((~v90(constB199, bitIndex2)) <=> v90(constB198, bitIndex2)) | (~v90(constB199, bitIndex2)) | v90(constB198, bitIndex2)),
% 8.87/6.79 inference(tautology,[status(thm)],[])).
% 8.87/6.79 tff(30334,plain,
% 8.87/6.79 (~v90(constB199, bitIndex2)),
% 8.87/6.79 inference(unit_resolution,[status(thm)],[30333, 30332, 29939])).
% 8.87/6.79 tff(30335,plain,
% 8.87/6.79 (((~v88(constB199, bitIndex2)) <=> v90(constB199, bitIndex2)) | (~v88(constB199, bitIndex2)) | v90(constB199, bitIndex2)),
% 8.87/6.79 inference(tautology,[status(thm)],[])).
% 8.87/6.79 tff(30336,plain,
% 8.87/6.79 (~v88(constB199, bitIndex2)),
% 8.87/6.79 inference(unit_resolution,[status(thm)],[30335, 30334, 29903])).
% 8.87/6.79 tff(30337,plain,
% 8.87/6.79 ((((~v88(constB199, bitIndex1)) <=> v90(constB199, bitIndex1)) | ((~v88(constB199, bitIndex2)) <=> v90(constB199, bitIndex2)) | ((~v88(constB199, bitIndex0)) <=> v90(constB199, bitIndex0))) | (~((~v88(constB199, bitIndex0)) <=> v90(constB199, bitIndex0)))),
% 8.87/6.79 inference(tautology,[status(thm)],[])).
% 8.87/6.79 tff(30338,plain,
% 8.87/6.79 (~((~v88(constB199, bitIndex0)) <=> v90(constB199, bitIndex0))),
% 8.87/6.79 inference(unit_resolution,[status(thm)],[30337, 29901])).
% 8.87/6.79 tff(30339,plain,
% 8.87/6.79 ((((~v90(constB199, bitIndex1)) <=> v90(constB198, bitIndex1)) | ((~v90(constB199, bitIndex2)) <=> v90(constB198, bitIndex2)) | ((~v90(constB199, bitIndex0)) <=> v90(constB198, bitIndex0))) | (~((~v90(constB199, bitIndex0)) <=> v90(constB198, bitIndex0)))),
% 8.87/6.79 inference(tautology,[status(thm)],[])).
% 8.87/6.79 tff(30340,plain,
% 8.87/6.79 (~((~v90(constB199, bitIndex0)) <=> v90(constB198, bitIndex0))),
% 8.87/6.79 inference(unit_resolution,[status(thm)],[30339, 29937])).
% 8.87/6.79 tff(30341,plain,
% 8.87/6.79 ((((~v129(constB198, bitIndex2)) <=> v127(constB197, bitIndex2)) | ((~v129(constB198, bitIndex1)) <=> v127(constB197, bitIndex1)) | ((~v129(constB198, bitIndex0)) <=> v127(constB197, bitIndex0))) | (~((~v129(constB198, bitIndex0)) <=> v127(constB197, bitIndex0)))),
% 8.87/6.79 inference(tautology,[status(thm)],[])).
% 8.87/6.79 tff(30342,plain,
% 8.87/6.79 (~((~v129(constB198, bitIndex0)) <=> v127(constB197, bitIndex0))),
% 8.87/6.79 inference(unit_resolution,[status(thm)],[30341, 29946])).
% 8.87/6.79 tff(30343,plain,
% 8.87/6.79 ((((~v127(constB197, bitIndex2)) <=> v130(constB197, bitIndex2)) | ((~v127(constB197, bitIndex1)) <=> v130(constB197, bitIndex1)) | ((~v127(constB197, bitIndex0)) <=> v130(constB197, bitIndex0))) | (~((~v127(constB197, bitIndex0)) <=> v130(constB197, bitIndex0)))),
% 8.87/6.79 inference(tautology,[status(thm)],[])).
% 8.87/6.79 tff(30344,plain,
% 8.87/6.79 (~((~v127(constB197, bitIndex0)) <=> v130(constB197, bitIndex0))),
% 8.87/6.79 inference(unit_resolution,[status(thm)],[30343, 29960])).
% 8.87/6.79 tff(30345,plain,
% 8.87/6.79 ((v130(constB197, bitIndex2) | v130(constB197, bitIndex0) | (~v130(constB197, bitIndex1))) | (~v130(constB197, bitIndex0))),
% 8.87/6.79 inference(tautology,[status(thm)],[])).
% 8.87/6.79 tff(30346,plain,
% 8.87/6.79 (~v130(constB197, bitIndex0)),
% 8.87/6.79 inference(unit_resolution,[status(thm)],[30345, 30218])).
% 8.87/6.79 tff(30347,plain,
% 8.87/6.79 (((~v127(constB197, bitIndex0)) <=> v130(constB197, bitIndex0)) | (~v127(constB197, bitIndex0)) | v130(constB197, bitIndex0)),
% 8.87/6.79 inference(tautology,[status(thm)],[])).
% 8.87/6.79 tff(30348,plain,
% 8.87/6.79 (~v127(constB197, bitIndex0)),
% 8.87/6.79 inference(unit_resolution,[status(thm)],[30347, 30346, 30344])).
% 8.87/6.79 tff(30349,plain,
% 8.87/6.79 (((~v129(constB198, bitIndex0)) <=> v127(constB197, bitIndex0)) | (~v129(constB198, bitIndex0)) | v127(constB197, bitIndex0)),
% 8.87/6.79 inference(tautology,[status(thm)],[])).
% 8.87/6.79 tff(30350,plain,
% 8.87/6.79 (~v129(constB198, bitIndex0)),
% 8.87/6.79 inference(unit_resolution,[status(thm)],[30349, 30348, 30342])).
% 8.87/6.79 tff(30351,plain,
% 8.87/6.79 ((((~v90(constB198, bitIndex0)) <=> v129(constB198, bitIndex0)) | ((~v90(constB198, bitIndex2)) <=> v129(constB198, bitIndex2)) | ((~v90(constB198, bitIndex1)) <=> v129(constB198, bitIndex1))) | (~((~v90(constB198, bitIndex0)) <=> v129(constB198, bitIndex0)))),
% 8.87/6.79 inference(tautology,[status(thm)],[])).
% 8.87/6.79 tff(30352,plain,
% 8.87/6.79 (~((~v90(constB198, bitIndex0)) <=> v129(constB198, bitIndex0))),
% 8.87/6.79 inference(unit_resolution,[status(thm)],[30351, 30328])).
% 8.87/6.79 tff(30353,plain,
% 8.87/6.79 (((~v90(constB198, bitIndex0)) <=> v129(constB198, bitIndex0)) | (~v90(constB198, bitIndex0)) | v129(constB198, bitIndex0)),
% 8.87/6.79 inference(tautology,[status(thm)],[])).
% 8.87/6.79 tff(30354,plain,
% 8.87/6.79 (~v90(constB198, bitIndex0)),
% 8.87/6.79 inference(unit_resolution,[status(thm)],[30353, 30352, 30350])).
% 8.87/6.79 tff(30355,plain,
% 8.87/6.79 (((~v90(constB199, bitIndex0)) <=> v90(constB198, bitIndex0)) | (~v90(constB199, bitIndex0)) | v90(constB198, bitIndex0)),
% 8.87/6.79 inference(tautology,[status(thm)],[])).
% 8.87/6.79 tff(30356,plain,
% 8.87/6.79 (~v90(constB199, bitIndex0)),
% 8.87/6.79 inference(unit_resolution,[status(thm)],[30355, 30354, 30340])).
% 8.87/6.79 tff(30357,plain,
% 8.87/6.79 (((~v88(constB199, bitIndex0)) <=> v90(constB199, bitIndex0)) | (~v88(constB199, bitIndex0)) | v90(constB199, bitIndex0)),
% 8.87/6.79 inference(tautology,[status(thm)],[])).
% 8.87/6.79 tff(30358,plain,
% 8.87/6.79 (~v88(constB199, bitIndex0)),
% 8.87/6.79 inference(unit_resolution,[status(thm)],[30357, 30356, 30338])).
% 8.87/6.79 tff(30359,plain,
% 8.87/6.79 ((((~v88(constB199, bitIndex1)) <=> v90(constB199, bitIndex1)) | ((~v88(constB199, bitIndex2)) <=> v90(constB199, bitIndex2)) | ((~v88(constB199, bitIndex0)) <=> v90(constB199, bitIndex0))) | (~((~v88(constB199, bitIndex1)) <=> v90(constB199, bitIndex1)))),
% 8.87/6.79 inference(tautology,[status(thm)],[])).
% 8.87/6.79 tff(30360,plain,
% 8.87/6.79 (~((~v88(constB199, bitIndex1)) <=> v90(constB199, bitIndex1))),
% 8.87/6.79 inference(unit_resolution,[status(thm)],[30359, 29901])).
% 8.87/6.79 tff(30361,plain,
% 8.87/6.79 ((((~v90(constB199, bitIndex1)) <=> v90(constB198, bitIndex1)) | ((~v90(constB199, bitIndex2)) <=> v90(constB198, bitIndex2)) | ((~v90(constB199, bitIndex0)) <=> v90(constB198, bitIndex0))) | (~((~v90(constB199, bitIndex1)) <=> v90(constB198, bitIndex1)))),
% 8.87/6.79 inference(tautology,[status(thm)],[])).
% 8.87/6.79 tff(30362,plain,
% 8.87/6.79 (~((~v90(constB199, bitIndex1)) <=> v90(constB198, bitIndex1))),
% 8.87/6.79 inference(unit_resolution,[status(thm)],[30361, 29937])).
% 8.87/6.79 tff(30363,plain,
% 8.87/6.79 ((((~v129(constB198, bitIndex2)) <=> v127(constB197, bitIndex2)) | ((~v129(constB198, bitIndex1)) <=> v127(constB197, bitIndex1)) | ((~v129(constB198, bitIndex0)) <=> v127(constB197, bitIndex0))) | (~((~v129(constB198, bitIndex1)) <=> v127(constB197, bitIndex1)))),
% 8.87/6.79 inference(tautology,[status(thm)],[])).
% 8.87/6.79 tff(30364,plain,
% 8.87/6.79 (~((~v129(constB198, bitIndex1)) <=> v127(constB197, bitIndex1))),
% 8.87/6.79 inference(unit_resolution,[status(thm)],[30363, 29946])).
% 8.87/6.79 tff(30365,plain,
% 8.87/6.79 ((((~v127(constB197, bitIndex2)) <=> v130(constB197, bitIndex2)) | ((~v127(constB197, bitIndex1)) <=> v130(constB197, bitIndex1)) | ((~v127(constB197, bitIndex0)) <=> v130(constB197, bitIndex0))) | (~((~v127(constB197, bitIndex1)) <=> v130(constB197, bitIndex1)))),
% 8.87/6.79 inference(tautology,[status(thm)],[])).
% 8.87/6.79 tff(30366,plain,
% 8.87/6.79 (~((~v127(constB197, bitIndex1)) <=> v130(constB197, bitIndex1))),
% 8.87/6.79 inference(unit_resolution,[status(thm)],[30365, 29960])).
% 8.87/6.79 tff(30367,plain,
% 8.87/6.79 ((v130(constB197, bitIndex2) | v130(constB197, bitIndex0) | (~v130(constB197, bitIndex1))) | v130(constB197, bitIndex1)),
% 8.87/6.79 inference(tautology,[status(thm)],[])).
% 8.87/6.79 tff(30368,plain,
% 8.87/6.79 (v130(constB197, bitIndex1)),
% 8.87/6.79 inference(unit_resolution,[status(thm)],[30367, 30218])).
% 8.87/6.79 tff(30369,plain,
% 8.87/6.79 (((~v127(constB197, bitIndex1)) <=> v130(constB197, bitIndex1)) | v127(constB197, bitIndex1) | (~v130(constB197, bitIndex1))),
% 8.87/6.79 inference(tautology,[status(thm)],[])).
% 8.87/6.79 tff(30370,plain,
% 8.87/6.79 (v127(constB197, bitIndex1)),
% 8.87/6.79 inference(unit_resolution,[status(thm)],[30369, 30368, 30366])).
% 8.87/6.79 tff(30371,plain,
% 8.87/6.79 (((~v129(constB198, bitIndex1)) <=> v127(constB197, bitIndex1)) | v129(constB198, bitIndex1) | (~v127(constB197, bitIndex1))),
% 8.87/6.79 inference(tautology,[status(thm)],[])).
% 8.87/6.79 tff(30372,plain,
% 8.87/6.79 (v129(constB198, bitIndex1)),
% 8.87/6.79 inference(unit_resolution,[status(thm)],[30371, 30370, 30364])).
% 8.87/6.79 tff(30373,plain,
% 8.87/6.79 ((((~v90(constB198, bitIndex0)) <=> v129(constB198, bitIndex0)) | ((~v90(constB198, bitIndex2)) <=> v129(constB198, bitIndex2)) | ((~v90(constB198, bitIndex1)) <=> v129(constB198, bitIndex1))) | (~((~v90(constB198, bitIndex1)) <=> v129(constB198, bitIndex1)))),
% 8.87/6.80 inference(tautology,[status(thm)],[])).
% 8.87/6.80 tff(30374,plain,
% 8.87/6.80 (~((~v90(constB198, bitIndex1)) <=> v129(constB198, bitIndex1))),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30373, 30328])).
% 8.87/6.80 tff(30375,plain,
% 8.87/6.80 (((~v90(constB198, bitIndex1)) <=> v129(constB198, bitIndex1)) | v90(constB198, bitIndex1) | (~v129(constB198, bitIndex1))),
% 8.87/6.80 inference(tautology,[status(thm)],[])).
% 8.87/6.80 tff(30376,plain,
% 8.87/6.80 (v90(constB198, bitIndex1)),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30375, 30374, 30372])).
% 8.87/6.80 tff(30377,plain,
% 8.87/6.80 (((~v90(constB199, bitIndex1)) <=> v90(constB198, bitIndex1)) | v90(constB199, bitIndex1) | (~v90(constB198, bitIndex1))),
% 8.87/6.80 inference(tautology,[status(thm)],[])).
% 8.87/6.80 tff(30378,plain,
% 8.87/6.80 (v90(constB199, bitIndex1)),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30377, 30376, 30362])).
% 8.87/6.80 tff(30379,plain,
% 8.87/6.80 (((~v88(constB199, bitIndex1)) <=> v90(constB199, bitIndex1)) | v88(constB199, bitIndex1) | (~v90(constB199, bitIndex1))),
% 8.87/6.80 inference(tautology,[status(thm)],[])).
% 8.87/6.80 tff(30380,plain,
% 8.87/6.80 (v88(constB199, bitIndex1)),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30379, 30378, 30360])).
% 8.87/6.80 tff(30381,plain,
% 8.87/6.80 ((~((~v88(constB199, bitIndex1)) | v88(constB199, bitIndex2) | v88(constB199, bitIndex0))) | (~v88(constB199, bitIndex1)) | v88(constB199, bitIndex2) | v88(constB199, bitIndex0)),
% 8.87/6.80 inference(tautology,[status(thm)],[])).
% 8.87/6.80 tff(30382,plain,
% 8.87/6.80 (~((~v88(constB199, bitIndex1)) | v88(constB199, bitIndex2) | v88(constB199, bitIndex0))),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30381, 30380, 30358, 30336])).
% 8.87/6.80 tff(30383,plain,
% 8.87/6.80 ((~(v143(constB199) <=> (~((~v88(constB199, bitIndex1)) | v88(constB199, bitIndex2) | v88(constB199, bitIndex0))))) | v143(constB199) | ((~v88(constB199, bitIndex1)) | v88(constB199, bitIndex2) | v88(constB199, bitIndex0))),
% 8.87/6.80 inference(tautology,[status(thm)],[])).
% 8.87/6.80 tff(30384,plain,
% 8.87/6.80 (v143(constB199)),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30383, 30382, 29899])).
% 8.87/6.80 tff(30385,plain,
% 8.87/6.80 ((v143(constB199) | v144(constB199)) | (~v143(constB199))),
% 8.87/6.80 inference(tautology,[status(thm)],[])).
% 8.87/6.80 tff(30386,plain,
% 8.87/6.80 (v143(constB199) | v144(constB199)),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30385, 30384])).
% 8.87/6.80 tff(30387,plain,
% 8.87/6.80 ((~(v142(constB199) <=> (v143(constB199) | v144(constB199)))) | v142(constB199) | (~(v143(constB199) | v144(constB199)))),
% 8.87/6.80 inference(tautology,[status(thm)],[])).
% 8.87/6.80 tff(30388,plain,
% 8.87/6.80 (v142(constB199)),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30387, 30386, 29892])).
% 8.87/6.80 tff(30389,plain,
% 8.87/6.80 ((v137(constB199) | v142(constB199)) | (~v142(constB199))),
% 8.87/6.80 inference(tautology,[status(thm)],[])).
% 8.87/6.80 tff(30390,plain,
% 8.87/6.80 (v137(constB199) | v142(constB199)),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30389, 30388])).
% 8.87/6.80 tff(30391,plain,
% 8.87/6.80 ((~(v136(constB199) <=> (v137(constB199) | v142(constB199)))) | v136(constB199) | (~(v137(constB199) | v142(constB199)))),
% 8.87/6.80 inference(tautology,[status(thm)],[])).
% 8.87/6.80 tff(30392,plain,
% 8.87/6.80 ((~(v136(constB199) <=> (v137(constB199) | v142(constB199)))) | v136(constB199)),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30391, 30390])).
% 8.87/6.80 tff(30393,plain,
% 8.87/6.80 (v136(constB199)),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30392, 29890])).
% 8.87/6.80 tff(30394,plain,
% 8.87/6.80 ((v136(constB199) | v145(constB199)) | (~v136(constB199))),
% 8.87/6.80 inference(tautology,[status(thm)],[])).
% 8.87/6.80 tff(30395,plain,
% 8.87/6.80 (v136(constB199) | v145(constB199)),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30394, 30393])).
% 8.87/6.80 tff(30396,plain,
% 8.87/6.80 ((~(v135(constB199) <=> (v136(constB199) | v145(constB199)))) | v135(constB199) | (~(v136(constB199) | v145(constB199)))),
% 8.87/6.80 inference(tautology,[status(thm)],[])).
% 8.87/6.80 tff(30397,plain,
% 8.87/6.80 (v135(constB199)),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30396, 30395, 29888])).
% 8.87/6.80 tff(30398,plain,
% 8.87/6.80 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB199)) | (v86(constB199) <=> v148(constB199)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB199)) | (v86(constB199) <=> v148(constB199)))),
% 8.87/6.80 inference(rewrite,[status(thm)],[])).
% 8.87/6.80 tff(30399,plain,
% 8.87/6.80 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB199)) | (v86(constB199) <=> v148(constB199)))),
% 8.87/6.80 inference(quant_inst,[status(thm)],[])).
% 8.87/6.80 tff(30400,plain,
% 8.87/6.80 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB199)) | (v86(constB199) <=> v148(constB199))),
% 8.87/6.80 inference(modus_ponens,[status(thm)],[30399, 30398])).
% 8.87/6.80 tff(30401,plain,
% 8.87/6.80 (v86(constB199) <=> v148(constB199)),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30400, 14818, 30397])).
% 8.87/6.80 tff(30402,plain,
% 8.87/6.80 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB199) | (~v142(constB199)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB199) | (~v142(constB199)))),
% 8.87/6.80 inference(rewrite,[status(thm)],[])).
% 8.87/6.80 tff(30403,plain,
% 8.87/6.80 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB199) | (~v142(constB199)))),
% 8.87/6.80 inference(quant_inst,[status(thm)],[])).
% 8.87/6.80 tff(30404,plain,
% 8.87/6.80 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB199) | (~v142(constB199))),
% 8.87/6.80 inference(modus_ponens,[status(thm)],[30403, 30402])).
% 8.87/6.80 tff(30405,plain,
% 8.87/6.80 (v148(constB199)),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30404, 14832, 30388])).
% 8.87/6.80 tff(30406,plain,
% 8.87/6.80 ((~(v86(constB199) <=> v148(constB199))) | v86(constB199) | (~v148(constB199))),
% 8.87/6.80 inference(tautology,[status(thm)],[])).
% 8.87/6.80 tff(30407,plain,
% 8.87/6.80 ((~(v86(constB199) <=> v148(constB199))) | v86(constB199)),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30406, 30405])).
% 8.87/6.80 tff(30408,plain,
% 8.87/6.80 (v86(constB199)),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30407, 30401])).
% 8.87/6.80 tff(30409,plain,
% 8.87/6.80 ($false),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30408, 29886])).
% 8.87/6.80 tff(30410,plain,(~(constB199 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.87/6.80 tff(30411,assumption,(constB63 = VarCurr!0), introduced(assumption)).
% 8.87/6.80 tff(30412,plain,
% 8.87/6.80 (v193(constB63) <=> v193(VarCurr!0)),
% 8.87/6.80 inference(monotonicity,[status(thm)],[30411])).
% 8.87/6.80 tff(30413,plain,
% 8.87/6.80 (v193(VarCurr!0) <=> v193(constB63)),
% 8.87/6.80 inference(symmetry,[status(thm)],[30412])).
% 8.87/6.80 tff(30414,plain,
% 8.87/6.80 (v193(constB63)),
% 8.87/6.80 inference(modus_ponens,[status(thm)],[59, 30413])).
% 8.87/6.80 tff(30415,plain,
% 8.87/6.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB62, constB63)) | (v193(constB63) <=> v191(constB62)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB62, constB63)) | (v193(constB63) <=> v191(constB62)))),
% 8.87/6.80 inference(rewrite,[status(thm)],[])).
% 8.87/6.80 tff(30416,plain,
% 8.87/6.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB62, constB63)) | (v193(constB63) <=> v191(constB62)))),
% 8.87/6.80 inference(quant_inst,[status(thm)],[])).
% 8.87/6.80 tff(30417,plain,
% 8.87/6.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB62, constB63)) | (v193(constB63) <=> v191(constB62))),
% 8.87/6.80 inference(modus_ponens,[status(thm)],[30416, 30415])).
% 8.87/6.80 tff(30418,plain,
% 8.87/6.80 (v193(constB63) <=> v191(constB62)),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30417, 1156, 70])).
% 8.87/6.80 tff(30419,plain,
% 8.87/6.80 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB62) <=> (v194(constB62) | v198(constB62)))),
% 8.87/6.80 inference(quant_inst,[status(thm)],[])).
% 8.87/6.80 tff(30420,plain,
% 8.87/6.80 (v191(constB62) <=> (v194(constB62) | v198(constB62))),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30419, 84])).
% 8.87/6.80 tff(30421,plain,
% 8.87/6.80 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB62) <=> (~((~v199(constB62)) | (~v200(constB62)))))),
% 8.87/6.80 inference(quant_inst,[status(thm)],[])).
% 8.87/6.80 tff(30422,plain,
% 8.87/6.80 (v198(constB62) <=> (~((~v199(constB62)) | (~v200(constB62))))),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30421, 96])).
% 8.87/6.80 tff(30423,plain,
% 8.87/6.80 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB62) <=> (~((~v197(constB62)) | (~v201(constB62)))))),
% 8.87/6.80 inference(quant_inst,[status(thm)],[])).
% 8.87/6.80 tff(30424,plain,
% 8.87/6.80 (v200(constB62) <=> (~((~v197(constB62)) | (~v201(constB62))))),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30423, 108])).
% 8.87/6.80 tff(30425,plain,
% 8.87/6.80 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB62) <=> (~((~v39(constB62)) | (~v9(constB62)))))),
% 8.87/6.80 inference(quant_inst,[status(thm)],[])).
% 8.87/6.80 tff(30426,plain,
% 8.87/6.80 (v197(constB62) <=> (~((~v39(constB62)) | (~v9(constB62))))),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30425, 120])).
% 8.87/6.80 tff(30427,plain,
% 8.87/6.80 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB62)) <=> v1(constB62))),
% 8.87/6.80 inference(quant_inst,[status(thm)],[])).
% 8.87/6.80 tff(30428,plain,
% 8.87/6.80 ((~v39(constB62)) <=> v1(constB62)),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30427, 129])).
% 8.87/6.80 tff(30429,plain,
% 8.87/6.80 ((~((~v39(constB62)) <=> v1(constB62))) | (~v39(constB62)) | (~v1(constB62))),
% 8.87/6.80 inference(tautology,[status(thm)],[])).
% 8.87/6.80 tff(30430,plain,
% 8.87/6.80 ((~((~v39(constB62)) <=> v1(constB62))) | (~v39(constB62))),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30429, 8260])).
% 8.87/6.80 tff(30431,plain,
% 8.87/6.80 (~v39(constB62)),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30430, 30428])).
% 8.87/6.80 tff(30432,plain,
% 8.87/6.80 (((~v39(constB62)) | (~v9(constB62))) | v39(constB62)),
% 8.87/6.80 inference(tautology,[status(thm)],[])).
% 8.87/6.80 tff(30433,plain,
% 8.87/6.80 ((~v39(constB62)) | (~v9(constB62))),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30432, 30431])).
% 8.87/6.80 tff(30434,plain,
% 8.87/6.80 ((~(v197(constB62) <=> (~((~v39(constB62)) | (~v9(constB62)))))) | (~v197(constB62)) | (~((~v39(constB62)) | (~v9(constB62))))),
% 8.87/6.80 inference(tautology,[status(thm)],[])).
% 8.87/6.80 tff(30435,plain,
% 8.87/6.80 ((~(v197(constB62) <=> (~((~v39(constB62)) | (~v9(constB62)))))) | (~v197(constB62))),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30434, 30433])).
% 8.87/6.80 tff(30436,plain,
% 8.87/6.80 (~v197(constB62)),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30435, 30426])).
% 8.87/6.80 tff(30437,plain,
% 8.87/6.80 (((~v197(constB62)) | (~v201(constB62))) | v197(constB62)),
% 8.87/6.80 inference(tautology,[status(thm)],[])).
% 8.87/6.80 tff(30438,plain,
% 8.87/6.80 ((~v197(constB62)) | (~v201(constB62))),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30437, 30436])).
% 8.87/6.80 tff(30439,plain,
% 8.87/6.80 ((~(v200(constB62) <=> (~((~v197(constB62)) | (~v201(constB62)))))) | (~v200(constB62)) | (~((~v197(constB62)) | (~v201(constB62))))),
% 8.87/6.80 inference(tautology,[status(thm)],[])).
% 8.87/6.80 tff(30440,plain,
% 8.87/6.80 ((~(v200(constB62) <=> (~((~v197(constB62)) | (~v201(constB62)))))) | (~v200(constB62))),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30439, 30438])).
% 8.87/6.80 tff(30441,plain,
% 8.87/6.80 (~v200(constB62)),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30440, 30424])).
% 8.87/6.80 tff(30442,plain,
% 8.87/6.80 (((~v199(constB62)) | (~v200(constB62))) | v200(constB62)),
% 8.87/6.80 inference(tautology,[status(thm)],[])).
% 8.87/6.80 tff(30443,plain,
% 8.87/6.80 ((~v199(constB62)) | (~v200(constB62))),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30442, 30441])).
% 8.87/6.80 tff(30444,plain,
% 8.87/6.80 ((~(v198(constB62) <=> (~((~v199(constB62)) | (~v200(constB62)))))) | (~v198(constB62)) | (~((~v199(constB62)) | (~v200(constB62))))),
% 8.87/6.80 inference(tautology,[status(thm)],[])).
% 8.87/6.80 tff(30445,plain,
% 8.87/6.80 (~v198(constB62)),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30444, 30443, 30422])).
% 8.87/6.80 tff(30446,plain,
% 8.87/6.80 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB62) <=> (~((~v157(constB62)) | (~v195(constB62)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB62) <=> (~((~v157(constB62)) | (~v195(constB62))))))),
% 8.87/6.80 inference(rewrite,[status(thm)],[])).
% 8.87/6.80 tff(30447,plain,
% 8.87/6.80 ((v194(constB62) <=> (~((~v195(constB62)) | (~v157(constB62))))) <=> (v194(constB62) <=> (~((~v157(constB62)) | (~v195(constB62)))))),
% 8.87/6.80 inference(rewrite,[status(thm)],[])).
% 8.87/6.80 tff(30448,plain,
% 8.87/6.80 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB62) <=> (~((~v195(constB62)) | (~v157(constB62)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB62) <=> (~((~v157(constB62)) | (~v195(constB62))))))),
% 8.87/6.80 inference(monotonicity,[status(thm)],[30447])).
% 8.87/6.80 tff(30449,plain,
% 8.87/6.80 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB62) <=> (~((~v195(constB62)) | (~v157(constB62)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB62) <=> (~((~v157(constB62)) | (~v195(constB62))))))),
% 8.87/6.80 inference(transitivity,[status(thm)],[30448, 30446])).
% 8.87/6.80 tff(30450,plain,
% 8.87/6.80 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB62) <=> (~((~v195(constB62)) | (~v157(constB62)))))),
% 8.87/6.80 inference(quant_inst,[status(thm)],[])).
% 8.87/6.80 tff(30451,plain,
% 8.87/6.80 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB62) <=> (~((~v157(constB62)) | (~v195(constB62)))))),
% 8.87/6.80 inference(modus_ponens,[status(thm)],[30450, 30449])).
% 8.87/6.80 tff(30452,plain,
% 8.87/6.80 (v194(constB62) <=> (~((~v157(constB62)) | (~v195(constB62))))),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30451, 161])).
% 8.87/6.80 tff(30453,plain,
% 8.87/6.80 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB62) <=> v193(constB62))),
% 8.87/6.80 inference(quant_inst,[status(thm)],[])).
% 8.87/6.80 tff(30454,plain,
% 8.87/6.80 (v157(constB62) <=> v193(constB62)),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30453, 13])).
% 8.87/6.80 tff(30455,plain,
% 8.87/6.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB61, constB62)) | (v193(constB62) <=> v191(constB61)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB61, constB62)) | (v193(constB62) <=> v191(constB61)))),
% 8.87/6.80 inference(rewrite,[status(thm)],[])).
% 8.87/6.80 tff(30456,plain,
% 8.87/6.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB61, constB62)) | (v193(constB62) <=> v191(constB61)))),
% 8.87/6.80 inference(quant_inst,[status(thm)],[])).
% 8.87/6.80 tff(30457,plain,
% 8.87/6.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB61, constB62)) | (v193(constB62) <=> v191(constB61))),
% 8.87/6.80 inference(modus_ponens,[status(thm)],[30456, 30455])).
% 8.87/6.80 tff(30458,plain,
% 8.87/6.80 (v193(constB62) <=> v191(constB61)),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30457, 1192, 70])).
% 8.87/6.80 tff(30459,plain,
% 8.87/6.80 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB61) <=> (v194(constB61) | v198(constB61)))),
% 8.87/6.80 inference(quant_inst,[status(thm)],[])).
% 8.87/6.80 tff(30460,plain,
% 8.87/6.80 (v191(constB61) <=> (v194(constB61) | v198(constB61))),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30459, 84])).
% 8.87/6.80 tff(30461,plain,
% 8.87/6.80 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB61) <=> (~((~v157(constB61)) | (~v195(constB61)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB61) <=> (~((~v157(constB61)) | (~v195(constB61))))))),
% 8.87/6.80 inference(rewrite,[status(thm)],[])).
% 8.87/6.80 tff(30462,plain,
% 8.87/6.80 ((v194(constB61) <=> (~((~v195(constB61)) | (~v157(constB61))))) <=> (v194(constB61) <=> (~((~v157(constB61)) | (~v195(constB61)))))),
% 8.87/6.80 inference(rewrite,[status(thm)],[])).
% 8.87/6.80 tff(30463,plain,
% 8.87/6.80 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB61) <=> (~((~v195(constB61)) | (~v157(constB61)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB61) <=> (~((~v157(constB61)) | (~v195(constB61))))))),
% 8.87/6.80 inference(monotonicity,[status(thm)],[30462])).
% 8.87/6.80 tff(30464,plain,
% 8.87/6.80 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB61) <=> (~((~v195(constB61)) | (~v157(constB61)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB61) <=> (~((~v157(constB61)) | (~v195(constB61))))))),
% 8.87/6.80 inference(transitivity,[status(thm)],[30463, 30461])).
% 8.87/6.80 tff(30465,plain,
% 8.87/6.80 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB61) <=> (~((~v195(constB61)) | (~v157(constB61)))))),
% 8.87/6.80 inference(quant_inst,[status(thm)],[])).
% 8.87/6.80 tff(30466,plain,
% 8.87/6.80 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB61) <=> (~((~v157(constB61)) | (~v195(constB61)))))),
% 8.87/6.80 inference(modus_ponens,[status(thm)],[30465, 30464])).
% 8.87/6.80 tff(30467,plain,
% 8.87/6.80 (v194(constB61) <=> (~((~v157(constB61)) | (~v195(constB61))))),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30466, 161])).
% 8.87/6.80 tff(30468,plain,
% 8.87/6.80 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB61)) <=> v196(constB61))),
% 8.87/6.80 inference(quant_inst,[status(thm)],[])).
% 8.87/6.80 tff(30469,plain,
% 8.87/6.80 ((~v195(constB61)) <=> v196(constB61)),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30468, 193])).
% 8.87/6.80 tff(30470,plain,
% 8.87/6.80 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB61) <=> (v197(constB61) | v26(constB61)))),
% 8.87/6.80 inference(quant_inst,[status(thm)],[])).
% 8.87/6.80 tff(30471,plain,
% 8.87/6.80 (v196(constB61) <=> (v197(constB61) | v26(constB61))),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30470, 202])).
% 8.87/6.80 tff(30472,plain,
% 8.87/6.80 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB61) <=> (~((~v39(constB61)) | (~v9(constB61)))))),
% 8.87/6.80 inference(quant_inst,[status(thm)],[])).
% 8.87/6.80 tff(30473,plain,
% 8.87/6.80 (v197(constB61) <=> (~((~v39(constB61)) | (~v9(constB61))))),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30472, 120])).
% 8.87/6.80 tff(30474,plain,
% 8.87/6.80 (((~![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)))),
% 8.87/6.80 inference(rewrite,[status(thm)],[])).
% 8.87/6.80 tff(30475,plain,
% 8.87/6.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB61, constB62)) | (v13(constB62) <=> v9(constB61)))),
% 8.87/6.80 inference(quant_inst,[status(thm)],[])).
% 8.87/6.80 tff(30476,plain,
% 8.87/6.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB61, constB62)) | (v13(constB62) <=> v9(constB61))),
% 8.87/6.80 inference(modus_ponens,[status(thm)],[30475, 30474])).
% 8.87/6.80 tff(30477,plain,
% 8.87/6.80 (v13(constB62) <=> v9(constB61)),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30476, 1192, 216])).
% 8.87/6.80 tff(30478,plain,
% 8.87/6.80 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB62) <=> v13(constB62))),
% 8.87/6.80 inference(quant_inst,[status(thm)],[])).
% 8.87/6.80 tff(30479,plain,
% 8.87/6.80 (v6(constB62) <=> v13(constB62)),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30478, 230])).
% 8.87/6.80 tff(30480,plain,
% 8.87/6.80 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB62)) <=> v6(constB62))),
% 8.87/6.80 inference(quant_inst,[status(thm)],[])).
% 8.87/6.80 tff(30481,plain,
% 8.87/6.80 ((~v21(constB62)) <=> v6(constB62)),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30480, 239])).
% 8.87/6.80 tff(30482,plain,
% 8.87/6.80 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB62) <=> (v20(constB62) | v21(constB62)))),
% 8.87/6.80 inference(quant_inst,[status(thm)],[])).
% 8.87/6.80 tff(30483,plain,
% 8.87/6.80 (v19(constB62) <=> (v20(constB62) | v21(constB62))),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30482, 248])).
% 8.87/6.80 tff(30484,plain,
% 8.87/6.80 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB62) <=> (~((~v19(constB62)) | (~v22(constB62)))))),
% 8.87/6.80 inference(quant_inst,[status(thm)],[])).
% 8.87/6.80 tff(30485,plain,
% 8.87/6.80 (v18(constB62) <=> (~((~v19(constB62)) | (~v22(constB62))))),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30484, 260])).
% 8.87/6.80 tff(30486,plain,
% 8.87/6.80 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB62)) <=> v18(constB62))),
% 8.87/6.80 inference(quant_inst,[status(thm)],[])).
% 8.87/6.80 tff(30487,plain,
% 8.87/6.80 ((~v4(constB62)) <=> v18(constB62)),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30486, 269])).
% 8.87/6.80 tff(30488,plain,
% 8.87/6.80 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB62)),
% 8.87/6.80 inference(quant_inst,[status(thm)],[])).
% 8.87/6.80 tff(30489,plain,
% 8.87/6.80 (v4(constB62)),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30488, 278])).
% 8.87/6.80 tff(30490,plain,
% 8.87/6.80 ((~((~v4(constB62)) <=> v18(constB62))) | (~v4(constB62)) | (~v18(constB62))),
% 8.87/6.80 inference(tautology,[status(thm)],[])).
% 8.87/6.80 tff(30491,plain,
% 8.87/6.80 (~v18(constB62)),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30490, 30489, 30487])).
% 8.87/6.80 tff(30492,plain,
% 8.87/6.80 ((~(v18(constB62) <=> (~((~v19(constB62)) | (~v22(constB62)))))) | v18(constB62) | ((~v19(constB62)) | (~v22(constB62)))),
% 8.87/6.80 inference(tautology,[status(thm)],[])).
% 8.87/6.80 tff(30493,plain,
% 8.87/6.80 ((~v19(constB62)) | (~v22(constB62))),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30492, 30491, 30485])).
% 8.87/6.80 tff(30494,plain,
% 8.87/6.80 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB62) <=> (v1(constB62) | v6(constB62)))),
% 8.87/6.80 inference(quant_inst,[status(thm)],[])).
% 8.87/6.80 tff(30495,plain,
% 8.87/6.80 (v22(constB62) <=> (v1(constB62) | v6(constB62))),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30494, 291])).
% 8.87/6.80 tff(30496,plain,
% 8.87/6.80 ((v1(constB62) | v6(constB62)) | (~v1(constB62))),
% 8.87/6.80 inference(tautology,[status(thm)],[])).
% 8.87/6.80 tff(30497,plain,
% 8.87/6.80 (v1(constB62) | v6(constB62)),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30496, 8260])).
% 8.87/6.80 tff(30498,plain,
% 8.87/6.80 ((~(v22(constB62) <=> (v1(constB62) | v6(constB62)))) | v22(constB62) | (~(v1(constB62) | v6(constB62)))),
% 8.87/6.80 inference(tautology,[status(thm)],[])).
% 8.87/6.80 tff(30499,plain,
% 8.87/6.80 ((~(v22(constB62) <=> (v1(constB62) | v6(constB62)))) | v22(constB62)),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30498, 30497])).
% 8.87/6.80 tff(30500,plain,
% 8.87/6.80 (v22(constB62)),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30499, 30495])).
% 8.87/6.80 tff(30501,plain,
% 8.87/6.80 ((~((~v19(constB62)) | (~v22(constB62)))) | (~v19(constB62)) | (~v22(constB62))),
% 8.87/6.80 inference(tautology,[status(thm)],[])).
% 8.87/6.80 tff(30502,plain,
% 8.87/6.80 ((~((~v19(constB62)) | (~v22(constB62)))) | (~v19(constB62))),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30501, 30500])).
% 8.87/6.80 tff(30503,plain,
% 8.87/6.80 (~v19(constB62)),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30502, 30493])).
% 8.87/6.80 tff(30504,plain,
% 8.87/6.80 ((~(v19(constB62) <=> (v20(constB62) | v21(constB62)))) | v19(constB62) | (~(v20(constB62) | v21(constB62)))),
% 8.87/6.80 inference(tautology,[status(thm)],[])).
% 8.87/6.80 tff(30505,plain,
% 8.87/6.80 (~(v20(constB62) | v21(constB62))),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30504, 30503, 30483])).
% 8.87/6.80 tff(30506,plain,
% 8.87/6.80 ((v20(constB62) | v21(constB62)) | (~v21(constB62))),
% 8.87/6.80 inference(tautology,[status(thm)],[])).
% 8.87/6.80 tff(30507,plain,
% 8.87/6.80 (~v21(constB62)),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30506, 30505])).
% 8.87/6.80 tff(30508,plain,
% 8.87/6.80 ((~((~v21(constB62)) <=> v6(constB62))) | v21(constB62) | v6(constB62)),
% 8.87/6.80 inference(tautology,[status(thm)],[])).
% 8.87/6.80 tff(30509,plain,
% 8.87/6.80 (v6(constB62)),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30508, 30507, 30481])).
% 8.87/6.80 tff(30510,plain,
% 8.87/6.80 ((~(v6(constB62) <=> v13(constB62))) | (~v6(constB62)) | v13(constB62)),
% 8.87/6.80 inference(tautology,[status(thm)],[])).
% 8.87/6.80 tff(30511,plain,
% 8.87/6.80 (v13(constB62)),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30510, 30509, 30479])).
% 8.87/6.80 tff(30512,plain,
% 8.87/6.80 ((~(v13(constB62) <=> v9(constB61))) | (~v13(constB62)) | v9(constB61)),
% 8.87/6.80 inference(tautology,[status(thm)],[])).
% 8.87/6.80 tff(30513,plain,
% 8.87/6.80 (v9(constB61)),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30512, 30511, 30477])).
% 8.87/6.80 tff(30514,plain,
% 8.87/6.80 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB61)) <=> v1(constB61))),
% 8.87/6.80 inference(quant_inst,[status(thm)],[])).
% 8.87/6.80 tff(30515,plain,
% 8.87/6.80 ((~v39(constB61)) <=> v1(constB61)),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30514, 129])).
% 8.87/6.80 tff(30516,plain,
% 8.87/6.80 ((~((~v39(constB61)) <=> v1(constB61))) | v39(constB61) | v1(constB61)),
% 8.87/6.80 inference(tautology,[status(thm)],[])).
% 8.87/6.80 tff(30517,plain,
% 8.87/6.80 ((~((~v39(constB61)) <=> v1(constB61))) | v39(constB61)),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30516, 1236])).
% 8.87/6.80 tff(30518,plain,
% 8.87/6.80 (v39(constB61)),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30517, 30515])).
% 8.87/6.80 tff(30519,plain,
% 8.87/6.80 ((~((~v39(constB61)) | (~v9(constB61)))) | (~v39(constB61)) | (~v9(constB61))),
% 8.87/6.80 inference(tautology,[status(thm)],[])).
% 8.87/6.80 tff(30520,plain,
% 8.87/6.80 ((~((~v39(constB61)) | (~v9(constB61)))) | (~v9(constB61))),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30519, 30518])).
% 8.87/6.80 tff(30521,plain,
% 8.87/6.80 (~((~v39(constB61)) | (~v9(constB61)))),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30520, 30513])).
% 8.87/6.80 tff(30522,plain,
% 8.87/6.80 ((~(v197(constB61) <=> (~((~v39(constB61)) | (~v9(constB61)))))) | v197(constB61) | ((~v39(constB61)) | (~v9(constB61)))),
% 8.87/6.80 inference(tautology,[status(thm)],[])).
% 8.87/6.80 tff(30523,plain,
% 8.87/6.80 (v197(constB61)),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30522, 30521, 30473])).
% 8.87/6.80 tff(30524,plain,
% 8.87/6.80 ((v197(constB61) | v26(constB61)) | (~v197(constB61))),
% 8.87/6.80 inference(tautology,[status(thm)],[])).
% 8.87/6.80 tff(30525,plain,
% 8.87/6.80 (v197(constB61) | v26(constB61)),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30524, 30523])).
% 8.87/6.80 tff(30526,plain,
% 8.87/6.80 ((~(v196(constB61) <=> (v197(constB61) | v26(constB61)))) | v196(constB61) | (~(v197(constB61) | v26(constB61)))),
% 8.87/6.80 inference(tautology,[status(thm)],[])).
% 8.87/6.80 tff(30527,plain,
% 8.87/6.80 (v196(constB61)),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30526, 30525, 30471])).
% 8.87/6.80 tff(30528,plain,
% 8.87/6.80 ((~((~v195(constB61)) <=> v196(constB61))) | (~v195(constB61)) | (~v196(constB61))),
% 8.87/6.80 inference(tautology,[status(thm)],[])).
% 8.87/6.80 tff(30529,plain,
% 8.87/6.80 (~v195(constB61)),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30528, 30527, 30469])).
% 8.87/6.80 tff(30530,plain,
% 8.87/6.80 (((~v157(constB61)) | (~v195(constB61))) | v195(constB61)),
% 8.87/6.80 inference(tautology,[status(thm)],[])).
% 8.87/6.80 tff(30531,plain,
% 8.87/6.80 ((~v157(constB61)) | (~v195(constB61))),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30530, 30529])).
% 8.87/6.80 tff(30532,plain,
% 8.87/6.80 ((~(v194(constB61) <=> (~((~v157(constB61)) | (~v195(constB61)))))) | (~v194(constB61)) | (~((~v157(constB61)) | (~v195(constB61))))),
% 8.87/6.80 inference(tautology,[status(thm)],[])).
% 8.87/6.80 tff(30533,plain,
% 8.87/6.80 (~v194(constB61)),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30532, 30531, 30467])).
% 8.87/6.80 tff(30534,plain,
% 8.87/6.80 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB61) <=> (~((~v199(constB61)) | (~v200(constB61)))))),
% 8.87/6.80 inference(quant_inst,[status(thm)],[])).
% 8.87/6.80 tff(30535,plain,
% 8.87/6.80 (v198(constB61) <=> (~((~v199(constB61)) | (~v200(constB61))))),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30534, 96])).
% 8.87/6.80 tff(30536,plain,
% 8.87/6.80 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB61) <=> (~((~v197(constB61)) | (~v201(constB61)))))),
% 8.87/6.80 inference(quant_inst,[status(thm)],[])).
% 8.87/6.80 tff(30537,plain,
% 8.87/6.80 (v200(constB61) <=> (~((~v197(constB61)) | (~v201(constB61))))),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30536, 108])).
% 8.87/6.80 tff(30538,plain,
% 8.87/6.80 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB61) <=> (~((~v159(constB61)) | (~v161(constB61)))))),
% 8.87/6.80 inference(quant_inst,[status(thm)],[])).
% 8.87/6.80 tff(30539,plain,
% 8.87/6.80 (v201(constB61) <=> (~((~v159(constB61)) | (~v161(constB61))))),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30538, 348])).
% 8.87/6.80 tff(30540,plain,
% 8.87/6.80 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB61) <=> v163(constB61))),
% 8.87/6.80 inference(quant_inst,[status(thm)],[])).
% 8.87/6.80 tff(30541,plain,
% 8.87/6.80 (v161(constB61) <=> v163(constB61)),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30540, 357])).
% 8.87/6.80 tff(30542,plain,
% 8.87/6.80 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB61) <=> (v145(constB61) | v167(constB61)))),
% 8.87/6.80 inference(quant_inst,[status(thm)],[])).
% 8.87/6.80 tff(30543,plain,
% 8.87/6.80 (v166(constB61) <=> (v145(constB61) | v167(constB61))),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30542, 369])).
% 8.87/6.80 tff(30544,plain,
% 8.87/6.80 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB61) <=> (v142(constB61) | v168(constB61)))),
% 8.87/6.80 inference(quant_inst,[status(thm)],[])).
% 8.87/6.80 tff(30545,plain,
% 8.87/6.80 (v167(constB61) <=> (v142(constB61) | v168(constB61))),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30544, 381])).
% 8.87/6.80 tff(30546,plain,
% 8.87/6.80 ((~![VarCurr: $i] : (v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr)))) | (v168(constB61) <=> (v141(constB61) | v169(constB61)))),
% 8.87/6.80 inference(quant_inst,[status(thm)],[])).
% 8.87/6.80 tff(30547,plain,
% 8.87/6.80 (v168(constB61) <=> (v141(constB61) | v169(constB61))),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30546, 393])).
% 8.87/6.80 tff(30548,plain,
% 8.87/6.80 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB61) <=> (~((~v88(constB61, bitIndex1)) | v88(constB61, bitIndex2) | (~v88(constB61, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB61) <=> (~((~v88(constB61, bitIndex1)) | v88(constB61, bitIndex2) | (~v88(constB61, bitIndex0))))))),
% 8.87/6.80 inference(rewrite,[status(thm)],[])).
% 8.87/6.80 tff(30549,plain,
% 8.87/6.80 ((v141(constB61) <=> (~(v88(constB61, bitIndex2) | (~v88(constB61, bitIndex1)) | (~v88(constB61, bitIndex0))))) <=> (v141(constB61) <=> (~((~v88(constB61, bitIndex1)) | v88(constB61, bitIndex2) | (~v88(constB61, bitIndex0)))))),
% 8.87/6.80 inference(rewrite,[status(thm)],[])).
% 8.87/6.80 tff(30550,plain,
% 8.87/6.80 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB61) <=> (~(v88(constB61, bitIndex2) | (~v88(constB61, bitIndex1)) | (~v88(constB61, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB61) <=> (~((~v88(constB61, bitIndex1)) | v88(constB61, bitIndex2) | (~v88(constB61, bitIndex0))))))),
% 8.87/6.80 inference(monotonicity,[status(thm)],[30549])).
% 8.87/6.80 tff(30551,plain,
% 8.87/6.80 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB61) <=> (~(v88(constB61, bitIndex2) | (~v88(constB61, bitIndex1)) | (~v88(constB61, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB61) <=> (~((~v88(constB61, bitIndex1)) | v88(constB61, bitIndex2) | (~v88(constB61, bitIndex0))))))),
% 8.87/6.80 inference(transitivity,[status(thm)],[30550, 30548])).
% 8.87/6.80 tff(30552,plain,
% 8.87/6.80 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB61) <=> (~(v88(constB61, bitIndex2) | (~v88(constB61, bitIndex1)) | (~v88(constB61, bitIndex0)))))),
% 8.87/6.80 inference(quant_inst,[status(thm)],[])).
% 8.87/6.80 tff(30553,plain,
% 8.87/6.80 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB61) <=> (~((~v88(constB61, bitIndex1)) | v88(constB61, bitIndex2) | (~v88(constB61, bitIndex0)))))),
% 8.87/6.80 inference(modus_ponens,[status(thm)],[30552, 30551])).
% 8.87/6.80 tff(30554,plain,
% 8.87/6.80 (v141(constB61) <=> (~((~v88(constB61, bitIndex1)) | v88(constB61, bitIndex2) | (~v88(constB61, bitIndex0))))),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30553, 408])).
% 8.87/6.80 tff(30555,plain,
% 8.87/6.80 ((~![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))) | (~(((~v88(constB61, bitIndex1)) <=> v90(constB61, bitIndex1)) | ((~v88(constB61, bitIndex2)) <=> v90(constB61, bitIndex2)) | ((~v88(constB61, bitIndex0)) <=> v90(constB61, bitIndex0))))),
% 8.87/6.80 inference(quant_inst,[status(thm)],[])).
% 8.87/6.80 tff(30556,plain,
% 8.87/6.80 (~(((~v88(constB61, bitIndex1)) <=> v90(constB61, bitIndex1)) | ((~v88(constB61, bitIndex2)) <=> v90(constB61, bitIndex2)) | ((~v88(constB61, bitIndex0)) <=> v90(constB61, bitIndex0)))),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30555, 428])).
% 8.87/6.80 tff(30557,plain,
% 8.87/6.80 ((((~v88(constB61, bitIndex1)) <=> v90(constB61, bitIndex1)) | ((~v88(constB61, bitIndex2)) <=> v90(constB61, bitIndex2)) | ((~v88(constB61, bitIndex0)) <=> v90(constB61, bitIndex0))) | (~((~v88(constB61, bitIndex2)) <=> v90(constB61, bitIndex2)))),
% 8.87/6.80 inference(tautology,[status(thm)],[])).
% 8.87/6.80 tff(30558,plain,
% 8.87/6.80 (~((~v88(constB61, bitIndex2)) <=> v90(constB61, bitIndex2))),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30557, 30556])).
% 8.87/6.80 tff(30559,plain,
% 8.87/6.80 (((~v88(constB61, bitIndex2)) <=> v90(constB61, bitIndex2)) | (~v88(constB61, bitIndex2)) | v90(constB61, bitIndex2)),
% 8.87/6.80 inference(tautology,[status(thm)],[])).
% 8.87/6.80 tff(30560,plain,
% 8.87/6.80 (~v88(constB61, bitIndex2)),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30559, 8179, 30558])).
% 8.87/6.80 tff(30561,plain,
% 8.87/6.80 ((((~v88(constB61, bitIndex1)) <=> v90(constB61, bitIndex1)) | ((~v88(constB61, bitIndex2)) <=> v90(constB61, bitIndex2)) | ((~v88(constB61, bitIndex0)) <=> v90(constB61, bitIndex0))) | (~((~v88(constB61, bitIndex0)) <=> v90(constB61, bitIndex0)))),
% 8.87/6.80 inference(tautology,[status(thm)],[])).
% 8.87/6.80 tff(30562,plain,
% 8.87/6.80 (~((~v88(constB61, bitIndex0)) <=> v90(constB61, bitIndex0))),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30561, 30556])).
% 8.87/6.80 tff(30563,plain,
% 8.87/6.80 (((~v88(constB61, bitIndex0)) <=> v90(constB61, bitIndex0)) | v88(constB61, bitIndex0) | (~v90(constB61, bitIndex0))),
% 8.87/6.80 inference(tautology,[status(thm)],[])).
% 8.87/6.80 tff(30564,plain,
% 8.87/6.80 (v88(constB61, bitIndex0)),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30563, 8197, 30562])).
% 8.87/6.80 tff(30565,plain,
% 8.87/6.80 ((((~v88(constB61, bitIndex1)) <=> v90(constB61, bitIndex1)) | ((~v88(constB61, bitIndex2)) <=> v90(constB61, bitIndex2)) | ((~v88(constB61, bitIndex0)) <=> v90(constB61, bitIndex0))) | (~((~v88(constB61, bitIndex1)) <=> v90(constB61, bitIndex1)))),
% 8.87/6.80 inference(tautology,[status(thm)],[])).
% 8.87/6.80 tff(30566,plain,
% 8.87/6.80 (~((~v88(constB61, bitIndex1)) <=> v90(constB61, bitIndex1))),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30565, 30556])).
% 8.87/6.80 tff(30567,plain,
% 8.87/6.80 (((~v88(constB61, bitIndex1)) <=> v90(constB61, bitIndex1)) | v88(constB61, bitIndex1) | (~v90(constB61, bitIndex1))),
% 8.87/6.80 inference(tautology,[status(thm)],[])).
% 8.87/6.80 tff(30568,plain,
% 8.87/6.80 (v88(constB61, bitIndex1)),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30567, 8215, 30566])).
% 8.87/6.80 tff(30569,plain,
% 8.87/6.80 ((~((~v88(constB61, bitIndex1)) | v88(constB61, bitIndex2) | (~v88(constB61, bitIndex0)))) | (~v88(constB61, bitIndex1)) | v88(constB61, bitIndex2) | (~v88(constB61, bitIndex0))),
% 8.87/6.80 inference(tautology,[status(thm)],[])).
% 8.87/6.80 tff(30570,plain,
% 8.87/6.80 (~((~v88(constB61, bitIndex1)) | v88(constB61, bitIndex2) | (~v88(constB61, bitIndex0)))),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30569, 30568, 30564, 30560])).
% 8.87/6.80 tff(30571,plain,
% 8.87/6.80 ((~(v141(constB61) <=> (~((~v88(constB61, bitIndex1)) | v88(constB61, bitIndex2) | (~v88(constB61, bitIndex0)))))) | v141(constB61) | ((~v88(constB61, bitIndex1)) | v88(constB61, bitIndex2) | (~v88(constB61, bitIndex0)))),
% 8.87/6.80 inference(tautology,[status(thm)],[])).
% 8.87/6.80 tff(30572,plain,
% 8.87/6.80 (v141(constB61)),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30571, 30570, 30554])).
% 8.87/6.80 tff(30573,plain,
% 8.87/6.80 ((v141(constB61) | v169(constB61)) | (~v141(constB61))),
% 8.87/6.80 inference(tautology,[status(thm)],[])).
% 8.87/6.80 tff(30574,plain,
% 8.87/6.80 (v141(constB61) | v169(constB61)),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30573, 30572])).
% 8.87/6.80 tff(30575,plain,
% 8.87/6.80 ((~(v168(constB61) <=> (v141(constB61) | v169(constB61)))) | v168(constB61) | (~(v141(constB61) | v169(constB61)))),
% 8.87/6.80 inference(tautology,[status(thm)],[])).
% 8.87/6.80 tff(30576,plain,
% 8.87/6.80 (v168(constB61)),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30575, 30574, 30547])).
% 8.87/6.80 tff(30577,plain,
% 8.87/6.80 ((v142(constB61) | v168(constB61)) | (~v168(constB61))),
% 8.87/6.80 inference(tautology,[status(thm)],[])).
% 8.87/6.80 tff(30578,plain,
% 8.87/6.80 (v142(constB61) | v168(constB61)),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30577, 30576])).
% 8.87/6.80 tff(30579,plain,
% 8.87/6.80 ((~(v167(constB61) <=> (v142(constB61) | v168(constB61)))) | v167(constB61) | (~(v142(constB61) | v168(constB61)))),
% 8.87/6.80 inference(tautology,[status(thm)],[])).
% 8.87/6.80 tff(30580,plain,
% 8.87/6.80 ((~(v167(constB61) <=> (v142(constB61) | v168(constB61)))) | v167(constB61)),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30579, 30578])).
% 8.87/6.80 tff(30581,plain,
% 8.87/6.80 (v167(constB61)),
% 8.87/6.80 inference(unit_resolution,[status(thm)],[30580, 30545])).
% 8.87/6.81 tff(30582,plain,
% 8.87/6.81 ((v145(constB61) | v167(constB61)) | (~v167(constB61))),
% 8.87/6.81 inference(tautology,[status(thm)],[])).
% 8.87/6.81 tff(30583,plain,
% 8.87/6.81 (v145(constB61) | v167(constB61)),
% 8.87/6.81 inference(unit_resolution,[status(thm)],[30582, 30581])).
% 8.87/6.81 tff(30584,plain,
% 8.87/6.81 ((~(v166(constB61) <=> (v145(constB61) | v167(constB61)))) | v166(constB61) | (~(v145(constB61) | v167(constB61)))),
% 8.87/6.81 inference(tautology,[status(thm)],[])).
% 8.87/6.81 tff(30585,plain,
% 8.87/6.81 (v166(constB61)),
% 8.87/6.81 inference(unit_resolution,[status(thm)],[30584, 30583, 30543])).
% 8.87/6.81 tff(30586,plain,
% 8.87/6.81 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB61)) | (v163(constB61) <=> v170(constB61)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB61)) | (v163(constB61) <=> v170(constB61)))),
% 8.87/6.81 inference(rewrite,[status(thm)],[])).
% 8.87/6.81 tff(30587,plain,
% 8.87/6.81 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB61)) | (v163(constB61) <=> v170(constB61)))),
% 8.87/6.81 inference(quant_inst,[status(thm)],[])).
% 8.87/6.81 tff(30588,plain,
% 8.87/6.81 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB61)) | (v163(constB61) <=> v170(constB61))),
% 8.87/6.81 inference(modus_ponens,[status(thm)],[30587, 30586])).
% 8.87/6.81 tff(30589,plain,
% 8.87/6.81 ((~v166(constB61)) | (v163(constB61) <=> v170(constB61))),
% 8.87/6.81 inference(unit_resolution,[status(thm)],[30588, 9851])).
% 8.87/6.81 tff(30590,plain,
% 8.87/6.81 (v163(constB61) <=> v170(constB61)),
% 8.87/6.81 inference(unit_resolution,[status(thm)],[30589, 30585])).
% 8.87/6.81 tff(30591,plain,
% 8.87/6.81 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB61) <=> (v142(constB61) | v150(constB61)))),
% 8.87/6.81 inference(quant_inst,[status(thm)],[])).
% 8.87/6.81 tff(30592,plain,
% 8.87/6.81 (v171(constB61) <=> (v142(constB61) | v150(constB61))),
% 8.87/6.81 inference(unit_resolution,[status(thm)],[30591, 9866])).
% 8.87/6.81 tff(30593,plain,
% 8.87/6.81 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v141(VarCurr) | v151(VarCurr)))) | (v150(constB61) <=> (v141(constB61) | v151(constB61)))),
% 8.87/6.81 inference(quant_inst,[status(thm)],[])).
% 8.87/6.81 tff(30594,plain,
% 8.87/6.81 (v150(constB61) <=> (v141(constB61) | v151(constB61))),
% 8.87/6.81 inference(unit_resolution,[status(thm)],[30593, 9878])).
% 8.87/6.81 tff(30595,plain,
% 8.87/6.81 ((v141(constB61) | v151(constB61)) | (~v141(constB61))),
% 8.87/6.81 inference(tautology,[status(thm)],[])).
% 8.87/6.81 tff(30596,plain,
% 8.87/6.81 (v141(constB61) | v151(constB61)),
% 8.87/6.81 inference(unit_resolution,[status(thm)],[30595, 30572])).
% 8.87/6.81 tff(30597,plain,
% 8.87/6.81 ((~(v150(constB61) <=> (v141(constB61) | v151(constB61)))) | v150(constB61) | (~(v141(constB61) | v151(constB61)))),
% 8.87/6.81 inference(tautology,[status(thm)],[])).
% 8.87/6.81 tff(30598,plain,
% 8.87/6.81 (v150(constB61)),
% 8.87/6.81 inference(unit_resolution,[status(thm)],[30597, 30596, 30594])).
% 8.87/6.81 tff(30599,plain,
% 8.87/6.81 ((v142(constB61) | v150(constB61)) | (~v150(constB61))),
% 8.87/6.81 inference(tautology,[status(thm)],[])).
% 8.87/6.81 tff(30600,plain,
% 8.87/6.81 (v142(constB61) | v150(constB61)),
% 8.87/6.81 inference(unit_resolution,[status(thm)],[30599, 30598])).
% 8.87/6.81 tff(30601,plain,
% 8.87/6.81 ((~(v171(constB61) <=> (v142(constB61) | v150(constB61)))) | v171(constB61) | (~(v142(constB61) | v150(constB61)))),
% 8.87/6.81 inference(tautology,[status(thm)],[])).
% 8.87/6.81 tff(30602,plain,
% 8.87/6.81 ((~(v171(constB61) <=> (v142(constB61) | v150(constB61)))) | v171(constB61)),
% 8.87/6.81 inference(unit_resolution,[status(thm)],[30601, 30600])).
% 8.87/6.81 tff(30603,plain,
% 8.87/6.81 (v171(constB61)),
% 8.87/6.81 inference(unit_resolution,[status(thm)],[30602, 30592])).
% 8.87/6.81 tff(30604,plain,
% 8.87/6.81 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB61)) | (~v171(constB61)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB61)) | (~v171(constB61)))),
% 8.87/6.81 inference(rewrite,[status(thm)],[])).
% 8.87/6.81 tff(30605,plain,
% 8.87/6.81 (((~v171(constB61)) | (~v170(constB61))) <=> ((~v170(constB61)) | (~v171(constB61)))),
% 8.87/6.81 inference(rewrite,[status(thm)],[])).
% 8.87/6.81 tff(30606,plain,
% 8.87/6.81 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB61)) | (~v170(constB61)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB61)) | (~v171(constB61))))),
% 8.87/6.81 inference(monotonicity,[status(thm)],[30605])).
% 8.87/6.81 tff(30607,plain,
% 8.87/6.81 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB61)) | (~v170(constB61)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB61)) | (~v171(constB61)))),
% 8.87/6.81 inference(transitivity,[status(thm)],[30606, 30604])).
% 8.87/6.81 tff(30608,plain,
% 8.87/6.81 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB61)) | (~v170(constB61)))),
% 8.87/6.81 inference(quant_inst,[status(thm)],[])).
% 8.87/6.81 tff(30609,plain,
% 8.87/6.81 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB61)) | (~v171(constB61))),
% 8.87/6.81 inference(modus_ponens,[status(thm)],[30608, 30607])).
% 8.87/6.81 tff(30610,plain,
% 8.87/6.81 (~v170(constB61)),
% 8.87/6.81 inference(unit_resolution,[status(thm)],[30609, 9899, 30603])).
% 8.87/6.81 tff(30611,plain,
% 8.87/6.81 ((~(v163(constB61) <=> v170(constB61))) | (~v163(constB61)) | v170(constB61)),
% 8.87/6.81 inference(tautology,[status(thm)],[])).
% 8.87/6.81 tff(30612,plain,
% 8.87/6.81 (~v163(constB61)),
% 8.87/6.81 inference(unit_resolution,[status(thm)],[30611, 30610, 30590])).
% 8.87/6.81 tff(30613,plain,
% 8.87/6.81 ((~(v161(constB61) <=> v163(constB61))) | (~v161(constB61)) | v163(constB61)),
% 8.87/6.81 inference(tautology,[status(thm)],[])).
% 8.87/6.81 tff(30614,plain,
% 8.87/6.81 (~v161(constB61)),
% 8.87/6.81 inference(unit_resolution,[status(thm)],[30613, 30612, 30541])).
% 8.87/6.81 tff(30615,plain,
% 8.87/6.81 (((~v159(constB61)) | (~v161(constB61))) | v161(constB61)),
% 8.87/6.81 inference(tautology,[status(thm)],[])).
% 8.87/6.81 tff(30616,plain,
% 8.87/6.81 ((~v159(constB61)) | (~v161(constB61))),
% 8.87/6.81 inference(unit_resolution,[status(thm)],[30615, 30614])).
% 8.87/6.81 tff(30617,plain,
% 8.87/6.81 ((~(v201(constB61) <=> (~((~v159(constB61)) | (~v161(constB61)))))) | (~v201(constB61)) | (~((~v159(constB61)) | (~v161(constB61))))),
% 8.87/6.81 inference(tautology,[status(thm)],[])).
% 8.87/6.81 tff(30618,plain,
% 8.87/6.81 (~v201(constB61)),
% 8.87/6.81 inference(unit_resolution,[status(thm)],[30617, 30616, 30539])).
% 8.87/6.81 tff(30619,plain,
% 8.87/6.81 (((~v197(constB61)) | (~v201(constB61))) | v201(constB61)),
% 8.87/6.81 inference(tautology,[status(thm)],[])).
% 8.87/6.81 tff(30620,plain,
% 8.87/6.81 ((~v197(constB61)) | (~v201(constB61))),
% 8.87/6.81 inference(unit_resolution,[status(thm)],[30619, 30618])).
% 8.87/6.81 tff(30621,plain,
% 8.87/6.81 ((~(v200(constB61) <=> (~((~v197(constB61)) | (~v201(constB61)))))) | (~v200(constB61)) | (~((~v197(constB61)) | (~v201(constB61))))),
% 8.87/6.81 inference(tautology,[status(thm)],[])).
% 8.87/6.81 tff(30622,plain,
% 8.87/6.81 (~v200(constB61)),
% 8.87/6.81 inference(unit_resolution,[status(thm)],[30621, 30620, 30537])).
% 8.87/6.81 tff(30623,plain,
% 8.87/6.81 (((~v199(constB61)) | (~v200(constB61))) | v200(constB61)),
% 8.87/6.81 inference(tautology,[status(thm)],[])).
% 8.87/6.81 tff(30624,plain,
% 8.87/6.81 ((~v199(constB61)) | (~v200(constB61))),
% 8.87/6.81 inference(unit_resolution,[status(thm)],[30623, 30622])).
% 8.87/6.81 tff(30625,plain,
% 8.87/6.81 ((~(v198(constB61) <=> (~((~v199(constB61)) | (~v200(constB61)))))) | (~v198(constB61)) | (~((~v199(constB61)) | (~v200(constB61))))),
% 8.87/6.81 inference(tautology,[status(thm)],[])).
% 8.87/6.81 tff(30626,plain,
% 8.87/6.81 (~v198(constB61)),
% 8.87/6.81 inference(unit_resolution,[status(thm)],[30625, 30624, 30535])).
% 8.87/6.81 tff(30627,plain,
% 8.87/6.81 ((~(v194(constB61) | v198(constB61))) | v194(constB61) | v198(constB61)),
% 8.87/6.81 inference(tautology,[status(thm)],[])).
% 8.87/6.81 tff(30628,plain,
% 8.87/6.81 (~(v194(constB61) | v198(constB61))),
% 8.87/6.81 inference(unit_resolution,[status(thm)],[30627, 30626, 30533])).
% 8.87/6.81 tff(30629,plain,
% 8.87/6.81 ((~(v191(constB61) <=> (v194(constB61) | v198(constB61)))) | (~v191(constB61)) | (v194(constB61) | v198(constB61))),
% 8.87/6.81 inference(tautology,[status(thm)],[])).
% 8.87/6.81 tff(30630,plain,
% 8.87/6.81 (~v191(constB61)),
% 8.87/6.81 inference(unit_resolution,[status(thm)],[30629, 30628, 30460])).
% 8.87/6.81 tff(30631,plain,
% 8.87/6.81 ((~(v193(constB62) <=> v191(constB61))) | (~v193(constB62)) | v191(constB61)),
% 8.87/6.81 inference(tautology,[status(thm)],[])).
% 8.87/6.81 tff(30632,plain,
% 8.87/6.81 (~v193(constB62)),
% 8.87/6.81 inference(unit_resolution,[status(thm)],[30631, 30630, 30458])).
% 8.87/6.81 tff(30633,plain,
% 8.87/6.81 ((~(v157(constB62) <=> v193(constB62))) | (~v157(constB62)) | v193(constB62)),
% 8.87/6.81 inference(tautology,[status(thm)],[])).
% 8.87/6.81 tff(30634,plain,
% 8.87/6.81 (~v157(constB62)),
% 8.87/6.81 inference(unit_resolution,[status(thm)],[30633, 30632, 30454])).
% 8.87/6.81 tff(30635,plain,
% 8.87/6.81 (((~v157(constB62)) | (~v195(constB62))) | v157(constB62)),
% 8.87/6.81 inference(tautology,[status(thm)],[])).
% 8.87/6.81 tff(30636,plain,
% 8.87/6.81 ((~v157(constB62)) | (~v195(constB62))),
% 8.87/6.81 inference(unit_resolution,[status(thm)],[30635, 30634])).
% 8.87/6.81 tff(30637,plain,
% 8.87/6.81 ((~(v194(constB62) <=> (~((~v157(constB62)) | (~v195(constB62)))))) | (~v194(constB62)) | (~((~v157(constB62)) | (~v195(constB62))))),
% 8.87/6.81 inference(tautology,[status(thm)],[])).
% 8.87/6.81 tff(30638,plain,
% 8.87/6.81 (~v194(constB62)),
% 8.87/6.81 inference(unit_resolution,[status(thm)],[30637, 30636, 30452])).
% 8.87/6.81 tff(30639,plain,
% 8.87/6.81 ((~(v194(constB62) | v198(constB62))) | v194(constB62) | v198(constB62)),
% 8.87/6.81 inference(tautology,[status(thm)],[])).
% 8.87/6.81 tff(30640,plain,
% 8.87/6.81 (~(v194(constB62) | v198(constB62))),
% 8.87/6.81 inference(unit_resolution,[status(thm)],[30639, 30638, 30445])).
% 8.87/6.81 tff(30641,plain,
% 8.87/6.81 ((~(v191(constB62) <=> (v194(constB62) | v198(constB62)))) | (~v191(constB62)) | (v194(constB62) | v198(constB62))),
% 8.87/6.81 inference(tautology,[status(thm)],[])).
% 8.87/6.81 tff(30642,plain,
% 8.87/6.81 (~v191(constB62)),
% 8.87/6.81 inference(unit_resolution,[status(thm)],[30641, 30640, 30420])).
% 8.87/6.81 tff(30643,plain,
% 8.87/6.81 ((~(v193(constB63) <=> v191(constB62))) | (~v193(constB63)) | v191(constB62)),
% 8.87/6.81 inference(tautology,[status(thm)],[])).
% 8.87/6.81 tff(30644,plain,
% 8.87/6.81 (~v193(constB63)),
% 8.87/6.81 inference(unit_resolution,[status(thm)],[30643, 30642, 30418])).
% 8.87/6.81 tff(30645,plain,
% 8.87/6.81 ($false),
% 8.87/6.81 inference(unit_resolution,[status(thm)],[30644, 30414])).
% 8.87/6.81 tff(30646,plain,(~(constB63 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.87/6.81 tff(30647,assumption,(constB179 = VarCurr!0), introduced(assumption)).
% 8.87/6.81 tff(30648,plain,
% 8.87/6.81 (v86(constB179) <=> v86(VarCurr!0)),
% 8.87/6.81 inference(monotonicity,[status(thm)],[30647])).
% 8.87/6.81 tff(30649,plain,
% 8.87/6.81 (v86(VarCurr!0) <=> v86(constB179)),
% 8.87/6.81 inference(symmetry,[status(thm)],[30648])).
% 8.87/6.81 tff(30650,plain,
% 8.87/6.81 ((~v86(VarCurr!0)) <=> (~v86(constB179))),
% 8.87/6.81 inference(monotonicity,[status(thm)],[30649])).
% 8.87/6.81 tff(30651,plain,
% 8.87/6.81 (~v86(constB179)),
% 8.87/6.81 inference(modus_ponens,[status(thm)],[14736, 30650])).
% 8.87/6.81 tff(30652,plain,
% 8.87/6.81 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB179) <=> (v136(constB179) | v145(constB179)))),
% 8.87/6.81 inference(quant_inst,[status(thm)],[])).
% 8.87/6.81 tff(30653,plain,
% 8.87/6.81 (v135(constB179) <=> (v136(constB179) | v145(constB179))),
% 8.87/6.81 inference(unit_resolution,[status(thm)],[30652, 14744])).
% 8.87/6.81 tff(30654,plain,
% 8.87/6.81 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB179) <=> (v137(constB179) | v142(constB179)))),
% 8.87/6.81 inference(quant_inst,[status(thm)],[])).
% 8.87/6.81 tff(30655,plain,
% 8.87/6.81 (v136(constB179) <=> (v137(constB179) | v142(constB179))),
% 8.87/6.81 inference(unit_resolution,[status(thm)],[30654, 14753])).
% 8.87/6.81 tff(30656,plain,
% 8.87/6.81 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB179) <=> (v143(constB179) | v144(constB179)))),
% 8.87/6.81 inference(quant_inst,[status(thm)],[])).
% 8.87/6.81 tff(30657,plain,
% 8.87/6.81 (v142(constB179) <=> (v143(constB179) | v144(constB179))),
% 8.87/6.81 inference(unit_resolution,[status(thm)],[30656, 10332])).
% 8.87/6.81 tff(30658,plain,
% 8.87/6.81 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB179) <=> (~((~v88(constB179, bitIndex1)) | v88(constB179, bitIndex2) | v88(constB179, bitIndex0))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB179) <=> (~((~v88(constB179, bitIndex1)) | v88(constB179, bitIndex2) | v88(constB179, bitIndex0)))))),
% 8.87/6.81 inference(rewrite,[status(thm)],[])).
% 8.87/6.81 tff(30659,plain,
% 8.87/6.81 ((v143(constB179) <=> (~(v88(constB179, bitIndex0) | v88(constB179, bitIndex2) | (~v88(constB179, bitIndex1))))) <=> (v143(constB179) <=> (~((~v88(constB179, bitIndex1)) | v88(constB179, bitIndex2) | v88(constB179, bitIndex0))))),
% 8.87/6.81 inference(rewrite,[status(thm)],[])).
% 8.87/6.81 tff(30660,plain,
% 8.87/6.81 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB179) <=> (~(v88(constB179, bitIndex0) | v88(constB179, bitIndex2) | (~v88(constB179, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB179) <=> (~((~v88(constB179, bitIndex1)) | v88(constB179, bitIndex2) | v88(constB179, bitIndex0)))))),
% 8.87/6.81 inference(monotonicity,[status(thm)],[30659])).
% 8.87/6.81 tff(30661,plain,
% 8.87/6.81 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB179) <=> (~(v88(constB179, bitIndex0) | v88(constB179, bitIndex2) | (~v88(constB179, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB179) <=> (~((~v88(constB179, bitIndex1)) | v88(constB179, bitIndex2) | v88(constB179, bitIndex0)))))),
% 8.87/6.81 inference(transitivity,[status(thm)],[30660, 30658])).
% 8.87/6.81 tff(30662,plain,
% 8.87/6.81 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB179) <=> (~(v88(constB179, bitIndex0) | v88(constB179, bitIndex2) | (~v88(constB179, bitIndex1)))))),
% 8.87/6.81 inference(quant_inst,[status(thm)],[])).
% 8.87/6.81 tff(30663,plain,
% 8.87/6.81 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB179) <=> (~((~v88(constB179, bitIndex1)) | v88(constB179, bitIndex2) | v88(constB179, bitIndex0))))),
% 8.87/6.81 inference(modus_ponens,[status(thm)],[30662, 30661])).
% 8.87/6.81 tff(30664,plain,
% 8.87/6.81 (v143(constB179) <=> (~((~v88(constB179, bitIndex1)) | v88(constB179, bitIndex2) | v88(constB179, bitIndex0)))),
% 8.87/6.81 inference(unit_resolution,[status(thm)],[30663, 14770])).
% 8.87/6.81 tff(30665,plain,
% 8.87/6.81 ((~![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))) | (~(((~v88(constB179, bitIndex1)) <=> v90(constB179, bitIndex1)) | ((~v88(constB179, bitIndex2)) <=> v90(constB179, bitIndex2)) | ((~v88(constB179, bitIndex0)) <=> v90(constB179, bitIndex0))))),
% 8.87/6.81 inference(quant_inst,[status(thm)],[])).
% 8.87/6.81 tff(30666,plain,
% 8.87/6.81 (~(((~v88(constB179, bitIndex1)) <=> v90(constB179, bitIndex1)) | ((~v88(constB179, bitIndex2)) <=> v90(constB179, bitIndex2)) | ((~v88(constB179, bitIndex0)) <=> v90(constB179, bitIndex0)))),
% 8.87/6.81 inference(unit_resolution,[status(thm)],[30665, 428])).
% 8.87/6.81 tff(30667,plain,
% 8.87/6.81 ((((~v88(constB179, bitIndex1)) <=> v90(constB179, bitIndex1)) | ((~v88(constB179, bitIndex2)) <=> v90(constB179, bitIndex2)) | ((~v88(constB179, bitIndex0)) <=> v90(constB179, bitIndex0))) | (~((~v88(constB179, bitIndex2)) <=> v90(constB179, bitIndex2)))),
% 8.87/6.81 inference(tautology,[status(thm)],[])).
% 8.87/6.81 tff(30668,plain,
% 8.87/6.81 (~((~v88(constB179, bitIndex2)) <=> v90(constB179, bitIndex2))),
% 8.87/6.81 inference(unit_resolution,[status(thm)],[30667, 30666])).
% 8.87/6.81 tff(30669,plain,
% 8.87/6.81 (((~v88(constB179, bitIndex2)) <=> v90(constB179, bitIndex2)) | (~v88(constB179, bitIndex2)) | v90(constB179, bitIndex2)),
% 8.87/6.81 inference(tautology,[status(thm)],[])).
% 8.87/6.81 tff(30670,plain,
% 8.87/6.81 (~v88(constB179, bitIndex2)),
% 8.87/6.81 inference(unit_resolution,[status(thm)],[30669, 22664, 30668])).
% 8.87/6.81 tff(30671,plain,
% 8.87/6.81 ((((~v88(constB179, bitIndex1)) <=> v90(constB179, bitIndex1)) | ((~v88(constB179, bitIndex2)) <=> v90(constB179, bitIndex2)) | ((~v88(constB179, bitIndex0)) <=> v90(constB179, bitIndex0))) | (~((~v88(constB179, bitIndex0)) <=> v90(constB179, bitIndex0)))),
% 8.87/6.81 inference(tautology,[status(thm)],[])).
% 8.87/6.81 tff(30672,plain,
% 8.87/6.81 (~((~v88(constB179, bitIndex0)) <=> v90(constB179, bitIndex0))),
% 8.87/6.81 inference(unit_resolution,[status(thm)],[30671, 30666])).
% 8.87/6.81 tff(30673,plain,
% 8.87/6.81 (((~v88(constB179, bitIndex0)) <=> v90(constB179, bitIndex0)) | (~v88(constB179, bitIndex0)) | v90(constB179, bitIndex0)),
% 8.87/6.81 inference(tautology,[status(thm)],[])).
% 8.87/6.81 tff(30674,plain,
% 8.87/6.81 (~v88(constB179, bitIndex0)),
% 8.87/6.81 inference(unit_resolution,[status(thm)],[30673, 22682, 30672])).
% 8.87/6.81 tff(30675,plain,
% 8.87/6.81 ((((~v88(constB179, bitIndex1)) <=> v90(constB179, bitIndex1)) | ((~v88(constB179, bitIndex2)) <=> v90(constB179, bitIndex2)) | ((~v88(constB179, bitIndex0)) <=> v90(constB179, bitIndex0))) | (~((~v88(constB179, bitIndex1)) <=> v90(constB179, bitIndex1)))),
% 8.87/6.81 inference(tautology,[status(thm)],[])).
% 8.87/6.81 tff(30676,plain,
% 8.87/6.81 (~((~v88(constB179, bitIndex1)) <=> v90(constB179, bitIndex1))),
% 8.87/6.81 inference(unit_resolution,[status(thm)],[30675, 30666])).
% 8.87/6.81 tff(30677,plain,
% 8.87/6.81 (((~v88(constB179, bitIndex1)) <=> v90(constB179, bitIndex1)) | v88(constB179, bitIndex1) | (~v90(constB179, bitIndex1))),
% 8.87/6.81 inference(tautology,[status(thm)],[])).
% 8.87/6.81 tff(30678,plain,
% 8.87/6.81 (v88(constB179, bitIndex1)),
% 8.87/6.81 inference(unit_resolution,[status(thm)],[30677, 22700, 30676])).
% 8.87/6.81 tff(30679,plain,
% 8.87/6.81 ((~((~v88(constB179, bitIndex1)) | v88(constB179, bitIndex2) | v88(constB179, bitIndex0))) | (~v88(constB179, bitIndex1)) | v88(constB179, bitIndex2) | v88(constB179, bitIndex0)),
% 8.87/6.81 inference(tautology,[status(thm)],[])).
% 8.87/6.81 tff(30680,plain,
% 8.87/6.81 (~((~v88(constB179, bitIndex1)) | v88(constB179, bitIndex2) | v88(constB179, bitIndex0))),
% 8.87/6.81 inference(unit_resolution,[status(thm)],[30679, 30678, 30674, 30670])).
% 8.87/6.81 tff(30681,plain,
% 8.87/6.81 ((~(v143(constB179) <=> (~((~v88(constB179, bitIndex1)) | v88(constB179, bitIndex2) | v88(constB179, bitIndex0))))) | v143(constB179) | ((~v88(constB179, bitIndex1)) | v88(constB179, bitIndex2) | v88(constB179, bitIndex0))),
% 8.87/6.81 inference(tautology,[status(thm)],[])).
% 8.87/6.81 tff(30682,plain,
% 8.87/6.81 (v143(constB179)),
% 8.87/6.81 inference(unit_resolution,[status(thm)],[30681, 30680, 30664])).
% 8.87/6.81 tff(30683,plain,
% 8.87/6.81 ((v143(constB179) | v144(constB179)) | (~v143(constB179))),
% 8.87/6.81 inference(tautology,[status(thm)],[])).
% 8.87/6.81 tff(30684,plain,
% 8.87/6.81 (v143(constB179) | v144(constB179)),
% 8.87/6.81 inference(unit_resolution,[status(thm)],[30683, 30682])).
% 8.87/6.81 tff(30685,plain,
% 8.87/6.81 ((~(v142(constB179) <=> (v143(constB179) | v144(constB179)))) | v142(constB179) | (~(v143(constB179) | v144(constB179)))),
% 8.87/6.81 inference(tautology,[status(thm)],[])).
% 8.87/6.81 tff(30686,plain,
% 8.87/6.81 (v142(constB179)),
% 8.87/6.81 inference(unit_resolution,[status(thm)],[30685, 30684, 30657])).
% 8.87/6.81 tff(30687,plain,
% 8.87/6.81 ((v137(constB179) | v142(constB179)) | (~v142(constB179))),
% 8.87/6.81 inference(tautology,[status(thm)],[])).
% 8.87/6.81 tff(30688,plain,
% 8.87/6.81 (v137(constB179) | v142(constB179)),
% 8.87/6.81 inference(unit_resolution,[status(thm)],[30687, 30686])).
% 8.87/6.81 tff(30689,plain,
% 8.87/6.81 ((~(v136(constB179) <=> (v137(constB179) | v142(constB179)))) | v136(constB179) | (~(v137(constB179) | v142(constB179)))),
% 8.87/6.81 inference(tautology,[status(thm)],[])).
% 8.87/6.81 tff(30690,plain,
% 8.87/6.81 ((~(v136(constB179) <=> (v137(constB179) | v142(constB179)))) | v136(constB179)),
% 8.87/6.81 inference(unit_resolution,[status(thm)],[30689, 30688])).
% 8.87/6.81 tff(30691,plain,
% 8.87/6.81 (v136(constB179)),
% 8.87/6.81 inference(unit_resolution,[status(thm)],[30690, 30655])).
% 8.87/6.81 tff(30692,plain,
% 8.87/6.81 ((v136(constB179) | v145(constB179)) | (~v136(constB179))),
% 8.87/6.81 inference(tautology,[status(thm)],[])).
% 8.87/6.81 tff(30693,plain,
% 8.87/6.81 (v136(constB179) | v145(constB179)),
% 8.87/6.81 inference(unit_resolution,[status(thm)],[30692, 30691])).
% 8.87/6.81 tff(30694,plain,
% 8.87/6.81 ((~(v135(constB179) <=> (v136(constB179) | v145(constB179)))) | v135(constB179) | (~(v136(constB179) | v145(constB179)))),
% 8.87/6.81 inference(tautology,[status(thm)],[])).
% 8.87/6.81 tff(30695,plain,
% 8.87/6.81 (v135(constB179)),
% 8.87/6.81 inference(unit_resolution,[status(thm)],[30694, 30693, 30653])).
% 8.87/6.81 tff(30696,plain,
% 8.87/6.81 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB179)) | (v86(constB179) <=> v148(constB179)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB179)) | (v86(constB179) <=> v148(constB179)))),
% 8.87/6.81 inference(rewrite,[status(thm)],[])).
% 8.87/6.81 tff(30697,plain,
% 8.87/6.81 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB179)) | (v86(constB179) <=> v148(constB179)))),
% 8.87/6.81 inference(quant_inst,[status(thm)],[])).
% 8.87/6.81 tff(30698,plain,
% 8.87/6.81 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB179)) | (v86(constB179) <=> v148(constB179))),
% 8.87/6.81 inference(modus_ponens,[status(thm)],[30697, 30696])).
% 8.87/6.81 tff(30699,plain,
% 8.87/6.81 (v86(constB179) <=> v148(constB179)),
% 8.87/6.81 inference(unit_resolution,[status(thm)],[30698, 14818, 30695])).
% 8.87/6.81 tff(30700,plain,
% 8.87/6.81 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB179) | (~v142(constB179)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB179) | (~v142(constB179)))),
% 8.87/6.81 inference(rewrite,[status(thm)],[])).
% 8.87/6.81 tff(30701,plain,
% 8.87/6.81 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB179) | (~v142(constB179)))),
% 8.87/6.81 inference(quant_inst,[status(thm)],[])).
% 8.87/6.81 tff(30702,plain,
% 8.87/6.81 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB179) | (~v142(constB179))),
% 8.87/6.81 inference(modus_ponens,[status(thm)],[30701, 30700])).
% 8.87/6.81 tff(30703,plain,
% 8.87/6.81 (v148(constB179)),
% 8.87/6.81 inference(unit_resolution,[status(thm)],[30702, 14832, 30686])).
% 8.87/6.81 tff(30704,plain,
% 8.87/6.81 ((~(v86(constB179) <=> v148(constB179))) | v86(constB179) | (~v148(constB179))),
% 8.87/6.81 inference(tautology,[status(thm)],[])).
% 8.87/6.81 tff(30705,plain,
% 8.87/6.81 ((~(v86(constB179) <=> v148(constB179))) | v86(constB179)),
% 8.87/6.81 inference(unit_resolution,[status(thm)],[30704, 30703])).
% 8.87/6.81 tff(30706,plain,
% 8.87/6.81 (v86(constB179)),
% 8.87/6.81 inference(unit_resolution,[status(thm)],[30705, 30699])).
% 8.87/6.81 tff(30707,plain,
% 8.87/6.81 ($false),
% 8.87/6.81 inference(unit_resolution,[status(thm)],[30706, 30651])).
% 8.87/6.81 tff(30708,plain,(~(constB179 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.87/6.81 tff(30709,assumption,(constB173 = VarCurr!0), introduced(assumption)).
% 8.87/6.81 tff(30710,plain,
% 8.87/6.81 (v193(constB173) <=> v193(VarCurr!0)),
% 8.87/6.81 inference(monotonicity,[status(thm)],[30709])).
% 8.87/6.81 tff(30711,plain,
% 8.87/6.81 (v193(VarCurr!0) <=> v193(constB173)),
% 8.87/6.81 inference(symmetry,[status(thm)],[30710])).
% 8.87/6.81 tff(30712,plain,
% 8.87/6.81 (v193(constB173)),
% 8.87/6.81 inference(modus_ponens,[status(thm)],[59, 30711])).
% 8.87/6.81 tff(30713,plain,
% 8.87/6.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB172, constB173)) | (v193(constB173) <=> v191(constB172)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB172, constB173)) | (v193(constB173) <=> v191(constB172)))),
% 8.87/6.81 inference(rewrite,[status(thm)],[])).
% 8.87/6.81 tff(30714,plain,
% 8.87/6.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB172, constB173)) | (v193(constB173) <=> v191(constB172)))),
% 8.87/6.81 inference(quant_inst,[status(thm)],[])).
% 8.87/6.81 tff(30715,plain,
% 8.87/6.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB172, constB173)) | (v193(constB173) <=> v191(constB172))),
% 8.87/6.81 inference(modus_ponens,[status(thm)],[30714, 30713])).
% 8.87/6.81 tff(30716,plain,
% 8.87/6.81 (v193(constB173) <=> v191(constB172)),
% 8.87/6.81 inference(unit_resolution,[status(thm)],[30715, 15707, 70])).
% 8.87/6.81 tff(30717,plain,
% 8.87/6.81 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB172) <=> (v194(constB172) | v198(constB172)))),
% 8.87/6.81 inference(quant_inst,[status(thm)],[])).
% 8.87/6.81 tff(30718,plain,
% 8.87/6.81 (v191(constB172) <=> (v194(constB172) | v198(constB172))),
% 8.87/6.81 inference(unit_resolution,[status(thm)],[30717, 84])).
% 8.87/6.81 tff(30719,plain,
% 8.87/6.81 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB172) <=> (~((~v199(constB172)) | (~v200(constB172)))))),
% 8.87/6.81 inference(quant_inst,[status(thm)],[])).
% 8.87/6.81 tff(30720,plain,
% 8.87/6.81 (v198(constB172) <=> (~((~v199(constB172)) | (~v200(constB172))))),
% 8.87/6.81 inference(unit_resolution,[status(thm)],[30719, 96])).
% 8.87/6.81 tff(30721,plain,
% 8.87/6.81 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB172) <=> (~((~v197(constB172)) | (~v201(constB172)))))),
% 8.87/6.81 inference(quant_inst,[status(thm)],[])).
% 8.87/6.81 tff(30722,plain,
% 8.87/6.81 (v200(constB172) <=> (~((~v197(constB172)) | (~v201(constB172))))),
% 8.87/6.81 inference(unit_resolution,[status(thm)],[30721, 108])).
% 8.87/6.81 tff(30723,plain,
% 8.87/6.81 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB172) <=> (~((~v39(constB172)) | (~v9(constB172)))))),
% 8.87/6.81 inference(quant_inst,[status(thm)],[])).
% 8.87/6.81 tff(30724,plain,
% 8.87/6.81 (v197(constB172) <=> (~((~v39(constB172)) | (~v9(constB172))))),
% 8.87/6.81 inference(unit_resolution,[status(thm)],[30723, 120])).
% 8.87/6.81 tff(30725,plain,
% 8.87/6.81 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB172)) <=> v1(constB172))),
% 8.87/6.81 inference(quant_inst,[status(thm)],[])).
% 8.87/6.81 tff(30726,plain,
% 8.87/6.81 ((~v39(constB172)) <=> v1(constB172)),
% 8.87/6.81 inference(unit_resolution,[status(thm)],[30725, 129])).
% 8.87/6.81 tff(30727,plain,
% 8.87/6.81 ((~((~v39(constB172)) <=> v1(constB172))) | (~v39(constB172)) | (~v1(constB172))),
% 8.87/6.81 inference(tautology,[status(thm)],[])).
% 8.87/6.81 tff(30728,plain,
% 8.87/6.81 ((~((~v39(constB172)) <=> v1(constB172))) | (~v39(constB172))),
% 8.87/6.81 inference(unit_resolution,[status(thm)],[30727, 22099])).
% 8.87/6.81 tff(30729,plain,
% 8.87/6.81 (~v39(constB172)),
% 8.87/6.81 inference(unit_resolution,[status(thm)],[30728, 30726])).
% 8.87/6.81 tff(30730,plain,
% 8.87/6.81 (((~v39(constB172)) | (~v9(constB172))) | v39(constB172)),
% 8.87/6.81 inference(tautology,[status(thm)],[])).
% 8.87/6.81 tff(30731,plain,
% 8.87/6.81 ((~v39(constB172)) | (~v9(constB172))),
% 8.87/6.81 inference(unit_resolution,[status(thm)],[30730, 30729])).
% 8.87/6.81 tff(30732,plain,
% 8.87/6.81 ((~(v197(constB172) <=> (~((~v39(constB172)) | (~v9(constB172)))))) | (~v197(constB172)) | (~((~v39(constB172)) | (~v9(constB172))))),
% 8.87/6.81 inference(tautology,[status(thm)],[])).
% 8.87/6.81 tff(30733,plain,
% 8.87/6.81 ((~(v197(constB172) <=> (~((~v39(constB172)) | (~v9(constB172)))))) | (~v197(constB172))),
% 8.87/6.81 inference(unit_resolution,[status(thm)],[30732, 30731])).
% 8.87/6.81 tff(30734,plain,
% 8.87/6.81 (~v197(constB172)),
% 8.87/6.81 inference(unit_resolution,[status(thm)],[30733, 30724])).
% 8.87/6.81 tff(30735,plain,
% 8.87/6.81 (((~v197(constB172)) | (~v201(constB172))) | v197(constB172)),
% 8.87/6.81 inference(tautology,[status(thm)],[])).
% 8.87/6.81 tff(30736,plain,
% 8.87/6.81 ((~v197(constB172)) | (~v201(constB172))),
% 8.87/6.81 inference(unit_resolution,[status(thm)],[30735, 30734])).
% 8.87/6.81 tff(30737,plain,
% 8.87/6.81 ((~(v200(constB172) <=> (~((~v197(constB172)) | (~v201(constB172)))))) | (~v200(constB172)) | (~((~v197(constB172)) | (~v201(constB172))))),
% 8.87/6.81 inference(tautology,[status(thm)],[])).
% 8.87/6.81 tff(30738,plain,
% 8.87/6.81 ((~(v200(constB172) <=> (~((~v197(constB172)) | (~v201(constB172)))))) | (~v200(constB172))),
% 8.87/6.81 inference(unit_resolution,[status(thm)],[30737, 30736])).
% 8.87/6.81 tff(30739,plain,
% 8.87/6.81 (~v200(constB172)),
% 8.87/6.81 inference(unit_resolution,[status(thm)],[30738, 30722])).
% 8.87/6.81 tff(30740,plain,
% 8.87/6.81 (((~v199(constB172)) | (~v200(constB172))) | v200(constB172)),
% 8.87/6.81 inference(tautology,[status(thm)],[])).
% 8.87/6.81 tff(30741,plain,
% 8.87/6.81 ((~v199(constB172)) | (~v200(constB172))),
% 8.87/6.81 inference(unit_resolution,[status(thm)],[30740, 30739])).
% 8.87/6.81 tff(30742,plain,
% 8.87/6.81 ((~(v198(constB172) <=> (~((~v199(constB172)) | (~v200(constB172)))))) | (~v198(constB172)) | (~((~v199(constB172)) | (~v200(constB172))))),
% 8.87/6.81 inference(tautology,[status(thm)],[])).
% 8.87/6.81 tff(30743,plain,
% 8.87/6.81 (~v198(constB172)),
% 8.87/6.81 inference(unit_resolution,[status(thm)],[30742, 30741, 30720])).
% 8.87/6.81 tff(30744,plain,
% 8.87/6.81 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB172) <=> (~((~v157(constB172)) | (~v195(constB172)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB172) <=> (~((~v157(constB172)) | (~v195(constB172))))))),
% 8.87/6.81 inference(rewrite,[status(thm)],[])).
% 8.87/6.81 tff(30745,plain,
% 8.87/6.81 ((v194(constB172) <=> (~((~v195(constB172)) | (~v157(constB172))))) <=> (v194(constB172) <=> (~((~v157(constB172)) | (~v195(constB172)))))),
% 8.87/6.81 inference(rewrite,[status(thm)],[])).
% 8.87/6.81 tff(30746,plain,
% 8.87/6.81 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB172) <=> (~((~v195(constB172)) | (~v157(constB172)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB172) <=> (~((~v157(constB172)) | (~v195(constB172))))))),
% 8.87/6.81 inference(monotonicity,[status(thm)],[30745])).
% 8.87/6.81 tff(30747,plain,
% 8.87/6.81 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB172) <=> (~((~v195(constB172)) | (~v157(constB172)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB172) <=> (~((~v157(constB172)) | (~v195(constB172))))))),
% 8.87/6.81 inference(transitivity,[status(thm)],[30746, 30744])).
% 8.87/6.81 tff(30748,plain,
% 8.87/6.81 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB172) <=> (~((~v195(constB172)) | (~v157(constB172)))))),
% 8.87/6.81 inference(quant_inst,[status(thm)],[])).
% 8.87/6.81 tff(30749,plain,
% 8.87/6.81 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB172) <=> (~((~v157(constB172)) | (~v195(constB172)))))),
% 8.87/6.81 inference(modus_ponens,[status(thm)],[30748, 30747])).
% 8.87/6.81 tff(30750,plain,
% 8.87/6.81 (v194(constB172) <=> (~((~v157(constB172)) | (~v195(constB172))))),
% 8.87/6.81 inference(unit_resolution,[status(thm)],[30749, 161])).
% 8.87/6.81 tff(30751,plain,
% 8.87/6.81 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB172) <=> v193(constB172))),
% 8.87/6.81 inference(quant_inst,[status(thm)],[])).
% 8.87/6.81 tff(30752,plain,
% 8.87/6.81 (v157(constB172) <=> v193(constB172)),
% 8.87/6.81 inference(unit_resolution,[status(thm)],[30751, 13])).
% 8.87/6.81 tff(30753,plain,
% 8.87/6.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB171, constB172)) | (v193(constB172) <=> v191(constB171)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB171, constB172)) | (v193(constB172) <=> v191(constB171)))),
% 8.87/6.81 inference(rewrite,[status(thm)],[])).
% 8.87/6.81 tff(30754,plain,
% 8.87/6.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB171, constB172)) | (v193(constB172) <=> v191(constB171)))),
% 8.87/6.81 inference(quant_inst,[status(thm)],[])).
% 8.87/6.81 tff(30755,plain,
% 8.87/6.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB171, constB172)) | (v193(constB172) <=> v191(constB171))),
% 8.87/6.81 inference(modus_ponens,[status(thm)],[30754, 30753])).
% 8.87/6.81 tff(30756,plain,
% 8.87/6.81 (v193(constB172) <=> v191(constB171)),
% 8.87/6.81 inference(unit_resolution,[status(thm)],[30755, 15743, 70])).
% 8.87/6.81 tff(30757,plain,
% 8.87/6.81 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB171) <=> (v194(constB171) | v198(constB171)))),
% 8.87/6.81 inference(quant_inst,[status(thm)],[])).
% 8.87/6.81 tff(30758,plain,
% 8.87/6.81 (v191(constB171) <=> (v194(constB171) | v198(constB171))),
% 8.87/6.81 inference(unit_resolution,[status(thm)],[30757, 84])).
% 8.87/6.81 tff(30759,plain,
% 8.87/6.81 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB171) <=> (~((~v157(constB171)) | (~v195(constB171)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB171) <=> (~((~v157(constB171)) | (~v195(constB171))))))),
% 8.87/6.81 inference(rewrite,[status(thm)],[])).
% 8.87/6.81 tff(30760,plain,
% 8.87/6.81 ((v194(constB171) <=> (~((~v195(constB171)) | (~v157(constB171))))) <=> (v194(constB171) <=> (~((~v157(constB171)) | (~v195(constB171)))))),
% 8.87/6.81 inference(rewrite,[status(thm)],[])).
% 8.87/6.81 tff(30761,plain,
% 8.87/6.81 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB171) <=> (~((~v195(constB171)) | (~v157(constB171)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB171) <=> (~((~v157(constB171)) | (~v195(constB171))))))),
% 8.87/6.81 inference(monotonicity,[status(thm)],[30760])).
% 8.87/6.81 tff(30762,plain,
% 8.87/6.81 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB171) <=> (~((~v195(constB171)) | (~v157(constB171)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB171) <=> (~((~v157(constB171)) | (~v195(constB171))))))),
% 8.87/6.81 inference(transitivity,[status(thm)],[30761, 30759])).
% 8.87/6.81 tff(30763,plain,
% 8.87/6.81 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB171) <=> (~((~v195(constB171)) | (~v157(constB171)))))),
% 8.87/6.81 inference(quant_inst,[status(thm)],[])).
% 8.87/6.81 tff(30764,plain,
% 8.87/6.81 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB171) <=> (~((~v157(constB171)) | (~v195(constB171)))))),
% 8.87/6.81 inference(modus_ponens,[status(thm)],[30763, 30762])).
% 8.87/6.81 tff(30765,plain,
% 8.87/6.81 (v194(constB171) <=> (~((~v157(constB171)) | (~v195(constB171))))),
% 8.87/6.81 inference(unit_resolution,[status(thm)],[30764, 161])).
% 8.87/6.81 tff(30766,plain,
% 8.87/6.81 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB171)) <=> v196(constB171))),
% 8.87/6.81 inference(quant_inst,[status(thm)],[])).
% 8.87/6.81 tff(30767,plain,
% 8.87/6.81 ((~v195(constB171)) <=> v196(constB171)),
% 8.87/6.81 inference(unit_resolution,[status(thm)],[30766, 193])).
% 8.87/6.81 tff(30768,plain,
% 8.87/6.81 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB171) <=> (v197(constB171) | v26(constB171)))),
% 8.87/6.81 inference(quant_inst,[status(thm)],[])).
% 8.87/6.81 tff(30769,plain,
% 8.87/6.81 (v196(constB171) <=> (v197(constB171) | v26(constB171))),
% 8.87/6.81 inference(unit_resolution,[status(thm)],[30768, 202])).
% 8.87/6.81 tff(30770,plain,
% 8.87/6.81 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB171) <=> (~((~v39(constB171)) | (~v9(constB171)))))),
% 8.87/6.81 inference(quant_inst,[status(thm)],[])).
% 8.87/6.81 tff(30771,plain,
% 8.87/6.81 (v197(constB171) <=> (~((~v39(constB171)) | (~v9(constB171))))),
% 8.87/6.81 inference(unit_resolution,[status(thm)],[30770, 120])).
% 8.87/6.81 tff(30772,plain,
% 8.87/6.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB171, constB172)) | (v13(constB172) <=> v9(constB171)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB171, constB172)) | (v13(constB172) <=> v9(constB171)))),
% 8.87/6.81 inference(rewrite,[status(thm)],[])).
% 8.87/6.81 tff(30773,plain,
% 8.87/6.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB171, constB172)) | (v13(constB172) <=> v9(constB171)))),
% 8.87/6.81 inference(quant_inst,[status(thm)],[])).
% 8.87/6.81 tff(30774,plain,
% 8.87/6.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB171, constB172)) | (v13(constB172) <=> v9(constB171))),
% 8.87/6.81 inference(modus_ponens,[status(thm)],[30773, 30772])).
% 8.87/6.81 tff(30775,plain,
% 8.87/6.81 (v13(constB172) <=> v9(constB171)),
% 8.87/6.81 inference(unit_resolution,[status(thm)],[30774, 15743, 216])).
% 8.87/6.81 tff(30776,plain,
% 8.87/6.81 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB172) <=> v13(constB172))),
% 8.87/6.81 inference(quant_inst,[status(thm)],[])).
% 8.87/6.81 tff(30777,plain,
% 8.87/6.81 (v6(constB172) <=> v13(constB172)),
% 8.87/6.81 inference(unit_resolution,[status(thm)],[30776, 230])).
% 8.87/6.81 tff(30778,plain,
% 8.87/6.81 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB172)) <=> v6(constB172))),
% 8.87/6.81 inference(quant_inst,[status(thm)],[])).
% 8.87/6.81 tff(30779,plain,
% 8.87/6.81 ((~v21(constB172)) <=> v6(constB172)),
% 8.87/6.81 inference(unit_resolution,[status(thm)],[30778, 239])).
% 8.87/6.81 tff(30780,plain,
% 8.87/6.81 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB172) <=> (v20(constB172) | v21(constB172)))),
% 8.87/6.81 inference(quant_inst,[status(thm)],[])).
% 8.87/6.81 tff(30781,plain,
% 8.87/6.81 (v19(constB172) <=> (v20(constB172) | v21(constB172))),
% 8.87/6.81 inference(unit_resolution,[status(thm)],[30780, 248])).
% 8.87/6.81 tff(30782,plain,
% 8.87/6.81 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB172) <=> (~((~v19(constB172)) | (~v22(constB172)))))),
% 8.87/6.81 inference(quant_inst,[status(thm)],[])).
% 8.87/6.81 tff(30783,plain,
% 8.87/6.81 (v18(constB172) <=> (~((~v19(constB172)) | (~v22(constB172))))),
% 8.87/6.81 inference(unit_resolution,[status(thm)],[30782, 260])).
% 8.87/6.81 tff(30784,plain,
% 8.87/6.81 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB172)) <=> v18(constB172))),
% 8.87/6.81 inference(quant_inst,[status(thm)],[])).
% 8.87/6.81 tff(30785,plain,
% 8.87/6.81 ((~v4(constB172)) <=> v18(constB172)),
% 8.87/6.81 inference(unit_resolution,[status(thm)],[30784, 269])).
% 8.87/6.81 tff(30786,plain,
% 8.87/6.81 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB172)),
% 8.87/6.81 inference(quant_inst,[status(thm)],[])).
% 8.87/6.81 tff(30787,plain,
% 8.87/6.81 (v4(constB172)),
% 8.87/6.81 inference(unit_resolution,[status(thm)],[30786, 278])).
% 8.90/6.82 tff(30788,plain,
% 8.90/6.82 ((~((~v4(constB172)) <=> v18(constB172))) | (~v4(constB172)) | (~v18(constB172))),
% 8.90/6.82 inference(tautology,[status(thm)],[])).
% 8.90/6.82 tff(30789,plain,
% 8.90/6.82 (~v18(constB172)),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30788, 30787, 30785])).
% 8.90/6.82 tff(30790,plain,
% 8.90/6.82 ((~(v18(constB172) <=> (~((~v19(constB172)) | (~v22(constB172)))))) | v18(constB172) | ((~v19(constB172)) | (~v22(constB172)))),
% 8.90/6.82 inference(tautology,[status(thm)],[])).
% 8.90/6.82 tff(30791,plain,
% 8.90/6.82 ((~v19(constB172)) | (~v22(constB172))),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30790, 30789, 30783])).
% 8.90/6.82 tff(30792,plain,
% 8.90/6.82 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB172) <=> (v1(constB172) | v6(constB172)))),
% 8.90/6.82 inference(quant_inst,[status(thm)],[])).
% 8.90/6.82 tff(30793,plain,
% 8.90/6.82 (v22(constB172) <=> (v1(constB172) | v6(constB172))),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30792, 291])).
% 8.90/6.82 tff(30794,plain,
% 8.90/6.82 ((v1(constB172) | v6(constB172)) | (~v1(constB172))),
% 8.90/6.82 inference(tautology,[status(thm)],[])).
% 8.90/6.82 tff(30795,plain,
% 8.90/6.82 (v1(constB172) | v6(constB172)),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30794, 22099])).
% 8.90/6.82 tff(30796,plain,
% 8.90/6.82 ((~(v22(constB172) <=> (v1(constB172) | v6(constB172)))) | v22(constB172) | (~(v1(constB172) | v6(constB172)))),
% 8.90/6.82 inference(tautology,[status(thm)],[])).
% 8.90/6.82 tff(30797,plain,
% 8.90/6.82 ((~(v22(constB172) <=> (v1(constB172) | v6(constB172)))) | v22(constB172)),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30796, 30795])).
% 8.90/6.82 tff(30798,plain,
% 8.90/6.82 (v22(constB172)),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30797, 30793])).
% 8.90/6.82 tff(30799,plain,
% 8.90/6.82 ((~((~v19(constB172)) | (~v22(constB172)))) | (~v19(constB172)) | (~v22(constB172))),
% 8.90/6.82 inference(tautology,[status(thm)],[])).
% 8.90/6.82 tff(30800,plain,
% 8.90/6.82 ((~((~v19(constB172)) | (~v22(constB172)))) | (~v19(constB172))),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30799, 30798])).
% 8.90/6.82 tff(30801,plain,
% 8.90/6.82 (~v19(constB172)),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30800, 30791])).
% 8.90/6.82 tff(30802,plain,
% 8.90/6.82 ((~(v19(constB172) <=> (v20(constB172) | v21(constB172)))) | v19(constB172) | (~(v20(constB172) | v21(constB172)))),
% 8.90/6.82 inference(tautology,[status(thm)],[])).
% 8.90/6.82 tff(30803,plain,
% 8.90/6.82 (~(v20(constB172) | v21(constB172))),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30802, 30801, 30781])).
% 8.90/6.82 tff(30804,plain,
% 8.90/6.82 ((v20(constB172) | v21(constB172)) | (~v21(constB172))),
% 8.90/6.82 inference(tautology,[status(thm)],[])).
% 8.90/6.82 tff(30805,plain,
% 8.90/6.82 (~v21(constB172)),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30804, 30803])).
% 8.90/6.82 tff(30806,plain,
% 8.90/6.82 ((~((~v21(constB172)) <=> v6(constB172))) | v21(constB172) | v6(constB172)),
% 8.90/6.82 inference(tautology,[status(thm)],[])).
% 8.90/6.82 tff(30807,plain,
% 8.90/6.82 (v6(constB172)),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30806, 30805, 30779])).
% 8.90/6.82 tff(30808,plain,
% 8.90/6.82 ((~(v6(constB172) <=> v13(constB172))) | (~v6(constB172)) | v13(constB172)),
% 8.90/6.82 inference(tautology,[status(thm)],[])).
% 8.90/6.82 tff(30809,plain,
% 8.90/6.82 (v13(constB172)),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30808, 30807, 30777])).
% 8.90/6.82 tff(30810,plain,
% 8.90/6.82 ((~(v13(constB172) <=> v9(constB171))) | (~v13(constB172)) | v9(constB171)),
% 8.90/6.82 inference(tautology,[status(thm)],[])).
% 8.90/6.82 tff(30811,plain,
% 8.90/6.82 (v9(constB171)),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30810, 30809, 30775])).
% 8.90/6.82 tff(30812,plain,
% 8.90/6.82 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB171)) <=> v1(constB171))),
% 8.90/6.82 inference(quant_inst,[status(thm)],[])).
% 8.90/6.82 tff(30813,plain,
% 8.90/6.82 ((~v39(constB171)) <=> v1(constB171)),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30812, 129])).
% 8.90/6.82 tff(30814,plain,
% 8.90/6.82 ((~((~v39(constB171)) <=> v1(constB171))) | v39(constB171) | v1(constB171)),
% 8.90/6.82 inference(tautology,[status(thm)],[])).
% 8.90/6.82 tff(30815,plain,
% 8.90/6.82 ((~((~v39(constB171)) <=> v1(constB171))) | v39(constB171)),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30814, 15787])).
% 8.90/6.82 tff(30816,plain,
% 8.90/6.82 (v39(constB171)),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30815, 30813])).
% 8.90/6.82 tff(30817,plain,
% 8.90/6.82 ((~((~v39(constB171)) | (~v9(constB171)))) | (~v39(constB171)) | (~v9(constB171))),
% 8.90/6.82 inference(tautology,[status(thm)],[])).
% 8.90/6.82 tff(30818,plain,
% 8.90/6.82 ((~((~v39(constB171)) | (~v9(constB171)))) | (~v9(constB171))),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30817, 30816])).
% 8.90/6.82 tff(30819,plain,
% 8.90/6.82 (~((~v39(constB171)) | (~v9(constB171)))),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30818, 30811])).
% 8.90/6.82 tff(30820,plain,
% 8.90/6.82 ((~(v197(constB171) <=> (~((~v39(constB171)) | (~v9(constB171)))))) | v197(constB171) | ((~v39(constB171)) | (~v9(constB171)))),
% 8.90/6.82 inference(tautology,[status(thm)],[])).
% 8.90/6.82 tff(30821,plain,
% 8.90/6.82 (v197(constB171)),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30820, 30819, 30771])).
% 8.90/6.82 tff(30822,plain,
% 8.90/6.82 ((v197(constB171) | v26(constB171)) | (~v197(constB171))),
% 8.90/6.82 inference(tautology,[status(thm)],[])).
% 8.90/6.82 tff(30823,plain,
% 8.90/6.82 (v197(constB171) | v26(constB171)),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30822, 30821])).
% 8.90/6.82 tff(30824,plain,
% 8.90/6.82 ((~(v196(constB171) <=> (v197(constB171) | v26(constB171)))) | v196(constB171) | (~(v197(constB171) | v26(constB171)))),
% 8.90/6.82 inference(tautology,[status(thm)],[])).
% 8.90/6.82 tff(30825,plain,
% 8.90/6.82 (v196(constB171)),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30824, 30823, 30769])).
% 8.90/6.82 tff(30826,plain,
% 8.90/6.82 ((~((~v195(constB171)) <=> v196(constB171))) | (~v195(constB171)) | (~v196(constB171))),
% 8.90/6.82 inference(tautology,[status(thm)],[])).
% 8.90/6.82 tff(30827,plain,
% 8.90/6.82 (~v195(constB171)),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30826, 30825, 30767])).
% 8.90/6.82 tff(30828,plain,
% 8.90/6.82 (((~v157(constB171)) | (~v195(constB171))) | v195(constB171)),
% 8.90/6.82 inference(tautology,[status(thm)],[])).
% 8.90/6.82 tff(30829,plain,
% 8.90/6.82 ((~v157(constB171)) | (~v195(constB171))),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30828, 30827])).
% 8.90/6.82 tff(30830,plain,
% 8.90/6.82 ((~(v194(constB171) <=> (~((~v157(constB171)) | (~v195(constB171)))))) | (~v194(constB171)) | (~((~v157(constB171)) | (~v195(constB171))))),
% 8.90/6.82 inference(tautology,[status(thm)],[])).
% 8.90/6.82 tff(30831,plain,
% 8.90/6.82 (~v194(constB171)),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30830, 30829, 30765])).
% 8.90/6.82 tff(30832,plain,
% 8.90/6.82 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB171) <=> (~((~v199(constB171)) | (~v200(constB171)))))),
% 8.90/6.82 inference(quant_inst,[status(thm)],[])).
% 8.90/6.82 tff(30833,plain,
% 8.90/6.82 (v198(constB171) <=> (~((~v199(constB171)) | (~v200(constB171))))),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30832, 96])).
% 8.90/6.82 tff(30834,plain,
% 8.90/6.82 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB171) <=> (~((~v197(constB171)) | (~v201(constB171)))))),
% 8.90/6.82 inference(quant_inst,[status(thm)],[])).
% 8.90/6.82 tff(30835,plain,
% 8.90/6.82 (v200(constB171) <=> (~((~v197(constB171)) | (~v201(constB171))))),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30834, 108])).
% 8.90/6.82 tff(30836,plain,
% 8.90/6.82 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB171) <=> (~((~v159(constB171)) | (~v161(constB171)))))),
% 8.90/6.82 inference(quant_inst,[status(thm)],[])).
% 8.90/6.82 tff(30837,plain,
% 8.90/6.82 (v201(constB171) <=> (~((~v159(constB171)) | (~v161(constB171))))),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30836, 348])).
% 8.90/6.82 tff(30838,plain,
% 8.90/6.82 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB171) <=> v163(constB171))),
% 8.90/6.82 inference(quant_inst,[status(thm)],[])).
% 8.90/6.82 tff(30839,plain,
% 8.90/6.82 (v161(constB171) <=> v163(constB171)),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30838, 357])).
% 8.90/6.82 tff(30840,plain,
% 8.90/6.82 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB171) <=> (v145(constB171) | v167(constB171)))),
% 8.90/6.82 inference(quant_inst,[status(thm)],[])).
% 8.90/6.82 tff(30841,plain,
% 8.90/6.82 (v166(constB171) <=> (v145(constB171) | v167(constB171))),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30840, 369])).
% 8.90/6.82 tff(30842,plain,
% 8.90/6.82 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB171) <=> (v142(constB171) | v168(constB171)))),
% 8.90/6.82 inference(quant_inst,[status(thm)],[])).
% 8.90/6.82 tff(30843,plain,
% 8.90/6.82 (v167(constB171) <=> (v142(constB171) | v168(constB171))),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30842, 381])).
% 8.90/6.82 tff(30844,plain,
% 8.90/6.82 ((~![VarCurr: $i] : (v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr)))) | (v168(constB171) <=> (v141(constB171) | v169(constB171)))),
% 8.90/6.82 inference(quant_inst,[status(thm)],[])).
% 8.90/6.82 tff(30845,plain,
% 8.90/6.82 (v168(constB171) <=> (v141(constB171) | v169(constB171))),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30844, 393])).
% 8.90/6.82 tff(30846,plain,
% 8.90/6.82 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB171) <=> (~((~v88(constB171, bitIndex1)) | v88(constB171, bitIndex2) | (~v88(constB171, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB171) <=> (~((~v88(constB171, bitIndex1)) | v88(constB171, bitIndex2) | (~v88(constB171, bitIndex0))))))),
% 8.90/6.82 inference(rewrite,[status(thm)],[])).
% 8.90/6.82 tff(30847,plain,
% 8.90/6.82 ((v141(constB171) <=> (~(v88(constB171, bitIndex2) | (~v88(constB171, bitIndex1)) | (~v88(constB171, bitIndex0))))) <=> (v141(constB171) <=> (~((~v88(constB171, bitIndex1)) | v88(constB171, bitIndex2) | (~v88(constB171, bitIndex0)))))),
% 8.90/6.82 inference(rewrite,[status(thm)],[])).
% 8.90/6.82 tff(30848,plain,
% 8.90/6.82 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB171) <=> (~(v88(constB171, bitIndex2) | (~v88(constB171, bitIndex1)) | (~v88(constB171, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB171) <=> (~((~v88(constB171, bitIndex1)) | v88(constB171, bitIndex2) | (~v88(constB171, bitIndex0))))))),
% 8.90/6.82 inference(monotonicity,[status(thm)],[30847])).
% 8.90/6.82 tff(30849,plain,
% 8.90/6.82 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB171) <=> (~(v88(constB171, bitIndex2) | (~v88(constB171, bitIndex1)) | (~v88(constB171, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB171) <=> (~((~v88(constB171, bitIndex1)) | v88(constB171, bitIndex2) | (~v88(constB171, bitIndex0))))))),
% 8.90/6.82 inference(transitivity,[status(thm)],[30848, 30846])).
% 8.90/6.82 tff(30850,plain,
% 8.90/6.82 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB171) <=> (~(v88(constB171, bitIndex2) | (~v88(constB171, bitIndex1)) | (~v88(constB171, bitIndex0)))))),
% 8.90/6.82 inference(quant_inst,[status(thm)],[])).
% 8.90/6.82 tff(30851,plain,
% 8.90/6.82 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB171) <=> (~((~v88(constB171, bitIndex1)) | v88(constB171, bitIndex2) | (~v88(constB171, bitIndex0)))))),
% 8.90/6.82 inference(modus_ponens,[status(thm)],[30850, 30849])).
% 8.90/6.82 tff(30852,plain,
% 8.90/6.82 (v141(constB171) <=> (~((~v88(constB171, bitIndex1)) | v88(constB171, bitIndex2) | (~v88(constB171, bitIndex0))))),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30851, 408])).
% 8.90/6.82 tff(30853,plain,
% 8.90/6.82 ((~![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))) | (~(((~v88(constB171, bitIndex1)) <=> v90(constB171, bitIndex1)) | ((~v88(constB171, bitIndex2)) <=> v90(constB171, bitIndex2)) | ((~v88(constB171, bitIndex0)) <=> v90(constB171, bitIndex0))))),
% 8.90/6.82 inference(quant_inst,[status(thm)],[])).
% 8.90/6.82 tff(30854,plain,
% 8.90/6.82 (~(((~v88(constB171, bitIndex1)) <=> v90(constB171, bitIndex1)) | ((~v88(constB171, bitIndex2)) <=> v90(constB171, bitIndex2)) | ((~v88(constB171, bitIndex0)) <=> v90(constB171, bitIndex0)))),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30853, 428])).
% 8.90/6.82 tff(30855,plain,
% 8.90/6.82 ((((~v88(constB171, bitIndex1)) <=> v90(constB171, bitIndex1)) | ((~v88(constB171, bitIndex2)) <=> v90(constB171, bitIndex2)) | ((~v88(constB171, bitIndex0)) <=> v90(constB171, bitIndex0))) | (~((~v88(constB171, bitIndex2)) <=> v90(constB171, bitIndex2)))),
% 8.90/6.82 inference(tautology,[status(thm)],[])).
% 8.90/6.82 tff(30856,plain,
% 8.90/6.82 (~((~v88(constB171, bitIndex2)) <=> v90(constB171, bitIndex2))),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30855, 30854])).
% 8.90/6.82 tff(30857,plain,
% 8.90/6.82 (((~v88(constB171, bitIndex2)) <=> v90(constB171, bitIndex2)) | (~v88(constB171, bitIndex2)) | v90(constB171, bitIndex2)),
% 8.90/6.82 inference(tautology,[status(thm)],[])).
% 8.90/6.82 tff(30858,plain,
% 8.90/6.82 (~v88(constB171, bitIndex2)),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30857, 22018, 30856])).
% 8.90/6.82 tff(30859,plain,
% 8.90/6.82 ((((~v88(constB171, bitIndex1)) <=> v90(constB171, bitIndex1)) | ((~v88(constB171, bitIndex2)) <=> v90(constB171, bitIndex2)) | ((~v88(constB171, bitIndex0)) <=> v90(constB171, bitIndex0))) | (~((~v88(constB171, bitIndex0)) <=> v90(constB171, bitIndex0)))),
% 8.90/6.82 inference(tautology,[status(thm)],[])).
% 8.90/6.82 tff(30860,plain,
% 8.90/6.82 (~((~v88(constB171, bitIndex0)) <=> v90(constB171, bitIndex0))),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30859, 30854])).
% 8.90/6.82 tff(30861,plain,
% 8.90/6.82 (((~v88(constB171, bitIndex0)) <=> v90(constB171, bitIndex0)) | v88(constB171, bitIndex0) | (~v90(constB171, bitIndex0))),
% 8.90/6.82 inference(tautology,[status(thm)],[])).
% 8.90/6.82 tff(30862,plain,
% 8.90/6.82 (v88(constB171, bitIndex0)),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30861, 22036, 30860])).
% 8.90/6.82 tff(30863,plain,
% 8.90/6.82 ((((~v88(constB171, bitIndex1)) <=> v90(constB171, bitIndex1)) | ((~v88(constB171, bitIndex2)) <=> v90(constB171, bitIndex2)) | ((~v88(constB171, bitIndex0)) <=> v90(constB171, bitIndex0))) | (~((~v88(constB171, bitIndex1)) <=> v90(constB171, bitIndex1)))),
% 8.90/6.82 inference(tautology,[status(thm)],[])).
% 8.90/6.82 tff(30864,plain,
% 8.90/6.82 (~((~v88(constB171, bitIndex1)) <=> v90(constB171, bitIndex1))),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30863, 30854])).
% 8.90/6.82 tff(30865,plain,
% 8.90/6.82 (((~v88(constB171, bitIndex1)) <=> v90(constB171, bitIndex1)) | v88(constB171, bitIndex1) | (~v90(constB171, bitIndex1))),
% 8.90/6.82 inference(tautology,[status(thm)],[])).
% 8.90/6.82 tff(30866,plain,
% 8.90/6.82 (v88(constB171, bitIndex1)),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30865, 22054, 30864])).
% 8.90/6.82 tff(30867,plain,
% 8.90/6.82 ((~((~v88(constB171, bitIndex1)) | v88(constB171, bitIndex2) | (~v88(constB171, bitIndex0)))) | (~v88(constB171, bitIndex1)) | v88(constB171, bitIndex2) | (~v88(constB171, bitIndex0))),
% 8.90/6.82 inference(tautology,[status(thm)],[])).
% 8.90/6.82 tff(30868,plain,
% 8.90/6.82 (~((~v88(constB171, bitIndex1)) | v88(constB171, bitIndex2) | (~v88(constB171, bitIndex0)))),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30867, 30866, 30862, 30858])).
% 8.90/6.82 tff(30869,plain,
% 8.90/6.82 ((~(v141(constB171) <=> (~((~v88(constB171, bitIndex1)) | v88(constB171, bitIndex2) | (~v88(constB171, bitIndex0)))))) | v141(constB171) | ((~v88(constB171, bitIndex1)) | v88(constB171, bitIndex2) | (~v88(constB171, bitIndex0)))),
% 8.90/6.82 inference(tautology,[status(thm)],[])).
% 8.90/6.82 tff(30870,plain,
% 8.90/6.82 (v141(constB171)),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30869, 30868, 30852])).
% 8.90/6.82 tff(30871,plain,
% 8.90/6.82 ((v141(constB171) | v169(constB171)) | (~v141(constB171))),
% 8.90/6.82 inference(tautology,[status(thm)],[])).
% 8.90/6.82 tff(30872,plain,
% 8.90/6.82 (v141(constB171) | v169(constB171)),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30871, 30870])).
% 8.90/6.82 tff(30873,plain,
% 8.90/6.82 ((~(v168(constB171) <=> (v141(constB171) | v169(constB171)))) | v168(constB171) | (~(v141(constB171) | v169(constB171)))),
% 8.90/6.82 inference(tautology,[status(thm)],[])).
% 8.90/6.82 tff(30874,plain,
% 8.90/6.82 (v168(constB171)),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30873, 30872, 30845])).
% 8.90/6.82 tff(30875,plain,
% 8.90/6.82 ((v142(constB171) | v168(constB171)) | (~v168(constB171))),
% 8.90/6.82 inference(tautology,[status(thm)],[])).
% 8.90/6.82 tff(30876,plain,
% 8.90/6.82 (v142(constB171) | v168(constB171)),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30875, 30874])).
% 8.90/6.82 tff(30877,plain,
% 8.90/6.82 ((~(v167(constB171) <=> (v142(constB171) | v168(constB171)))) | v167(constB171) | (~(v142(constB171) | v168(constB171)))),
% 8.90/6.82 inference(tautology,[status(thm)],[])).
% 8.90/6.82 tff(30878,plain,
% 8.90/6.82 ((~(v167(constB171) <=> (v142(constB171) | v168(constB171)))) | v167(constB171)),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30877, 30876])).
% 8.90/6.82 tff(30879,plain,
% 8.90/6.82 (v167(constB171)),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30878, 30843])).
% 8.90/6.82 tff(30880,plain,
% 8.90/6.82 ((v145(constB171) | v167(constB171)) | (~v167(constB171))),
% 8.90/6.82 inference(tautology,[status(thm)],[])).
% 8.90/6.82 tff(30881,plain,
% 8.90/6.82 (v145(constB171) | v167(constB171)),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30880, 30879])).
% 8.90/6.82 tff(30882,plain,
% 8.90/6.82 ((~(v166(constB171) <=> (v145(constB171) | v167(constB171)))) | v166(constB171) | (~(v145(constB171) | v167(constB171)))),
% 8.90/6.82 inference(tautology,[status(thm)],[])).
% 8.90/6.82 tff(30883,plain,
% 8.90/6.82 (v166(constB171)),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30882, 30881, 30841])).
% 8.90/6.82 tff(30884,plain,
% 8.90/6.82 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB171)) | (v163(constB171) <=> v170(constB171)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB171)) | (v163(constB171) <=> v170(constB171)))),
% 8.90/6.82 inference(rewrite,[status(thm)],[])).
% 8.90/6.82 tff(30885,plain,
% 8.90/6.82 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB171)) | (v163(constB171) <=> v170(constB171)))),
% 8.90/6.82 inference(quant_inst,[status(thm)],[])).
% 8.90/6.82 tff(30886,plain,
% 8.90/6.82 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB171)) | (v163(constB171) <=> v170(constB171))),
% 8.90/6.82 inference(modus_ponens,[status(thm)],[30885, 30884])).
% 8.90/6.82 tff(30887,plain,
% 8.90/6.82 ((~v166(constB171)) | (v163(constB171) <=> v170(constB171))),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30886, 9851])).
% 8.90/6.82 tff(30888,plain,
% 8.90/6.82 (v163(constB171) <=> v170(constB171)),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30887, 30883])).
% 8.90/6.82 tff(30889,plain,
% 8.90/6.82 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB171) <=> (v142(constB171) | v150(constB171)))),
% 8.90/6.82 inference(quant_inst,[status(thm)],[])).
% 8.90/6.82 tff(30890,plain,
% 8.90/6.82 (v171(constB171) <=> (v142(constB171) | v150(constB171))),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30889, 9866])).
% 8.90/6.82 tff(30891,plain,
% 8.90/6.82 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v141(VarCurr) | v151(VarCurr)))) | (v150(constB171) <=> (v141(constB171) | v151(constB171)))),
% 8.90/6.82 inference(quant_inst,[status(thm)],[])).
% 8.90/6.82 tff(30892,plain,
% 8.90/6.82 (v150(constB171) <=> (v141(constB171) | v151(constB171))),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30891, 9878])).
% 8.90/6.82 tff(30893,plain,
% 8.90/6.82 ((v141(constB171) | v151(constB171)) | (~v141(constB171))),
% 8.90/6.82 inference(tautology,[status(thm)],[])).
% 8.90/6.82 tff(30894,plain,
% 8.90/6.82 (v141(constB171) | v151(constB171)),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30893, 30870])).
% 8.90/6.82 tff(30895,plain,
% 8.90/6.82 ((~(v150(constB171) <=> (v141(constB171) | v151(constB171)))) | v150(constB171) | (~(v141(constB171) | v151(constB171)))),
% 8.90/6.82 inference(tautology,[status(thm)],[])).
% 8.90/6.82 tff(30896,plain,
% 8.90/6.82 (v150(constB171)),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30895, 30894, 30892])).
% 8.90/6.82 tff(30897,plain,
% 8.90/6.82 ((v142(constB171) | v150(constB171)) | (~v150(constB171))),
% 8.90/6.82 inference(tautology,[status(thm)],[])).
% 8.90/6.82 tff(30898,plain,
% 8.90/6.82 (v142(constB171) | v150(constB171)),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30897, 30896])).
% 8.90/6.82 tff(30899,plain,
% 8.90/6.82 ((~(v171(constB171) <=> (v142(constB171) | v150(constB171)))) | v171(constB171) | (~(v142(constB171) | v150(constB171)))),
% 8.90/6.82 inference(tautology,[status(thm)],[])).
% 8.90/6.82 tff(30900,plain,
% 8.90/6.82 ((~(v171(constB171) <=> (v142(constB171) | v150(constB171)))) | v171(constB171)),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30899, 30898])).
% 8.90/6.82 tff(30901,plain,
% 8.90/6.82 (v171(constB171)),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30900, 30890])).
% 8.90/6.82 tff(30902,plain,
% 8.90/6.82 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB171)) | (~v171(constB171)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB171)) | (~v171(constB171)))),
% 8.90/6.82 inference(rewrite,[status(thm)],[])).
% 8.90/6.82 tff(30903,plain,
% 8.90/6.82 (((~v171(constB171)) | (~v170(constB171))) <=> ((~v170(constB171)) | (~v171(constB171)))),
% 8.90/6.82 inference(rewrite,[status(thm)],[])).
% 8.90/6.82 tff(30904,plain,
% 8.90/6.82 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB171)) | (~v170(constB171)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB171)) | (~v171(constB171))))),
% 8.90/6.82 inference(monotonicity,[status(thm)],[30903])).
% 8.90/6.82 tff(30905,plain,
% 8.90/6.82 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB171)) | (~v170(constB171)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB171)) | (~v171(constB171)))),
% 8.90/6.82 inference(transitivity,[status(thm)],[30904, 30902])).
% 8.90/6.82 tff(30906,plain,
% 8.90/6.82 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB171)) | (~v170(constB171)))),
% 8.90/6.82 inference(quant_inst,[status(thm)],[])).
% 8.90/6.82 tff(30907,plain,
% 8.90/6.82 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB171)) | (~v171(constB171))),
% 8.90/6.82 inference(modus_ponens,[status(thm)],[30906, 30905])).
% 8.90/6.82 tff(30908,plain,
% 8.90/6.82 (~v170(constB171)),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30907, 9899, 30901])).
% 8.90/6.82 tff(30909,plain,
% 8.90/6.82 ((~(v163(constB171) <=> v170(constB171))) | (~v163(constB171)) | v170(constB171)),
% 8.90/6.82 inference(tautology,[status(thm)],[])).
% 8.90/6.82 tff(30910,plain,
% 8.90/6.82 (~v163(constB171)),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30909, 30908, 30888])).
% 8.90/6.82 tff(30911,plain,
% 8.90/6.82 ((~(v161(constB171) <=> v163(constB171))) | (~v161(constB171)) | v163(constB171)),
% 8.90/6.82 inference(tautology,[status(thm)],[])).
% 8.90/6.82 tff(30912,plain,
% 8.90/6.82 (~v161(constB171)),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30911, 30910, 30839])).
% 8.90/6.82 tff(30913,plain,
% 8.90/6.82 (((~v159(constB171)) | (~v161(constB171))) | v161(constB171)),
% 8.90/6.82 inference(tautology,[status(thm)],[])).
% 8.90/6.82 tff(30914,plain,
% 8.90/6.82 ((~v159(constB171)) | (~v161(constB171))),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30913, 30912])).
% 8.90/6.82 tff(30915,plain,
% 8.90/6.82 ((~(v201(constB171) <=> (~((~v159(constB171)) | (~v161(constB171)))))) | (~v201(constB171)) | (~((~v159(constB171)) | (~v161(constB171))))),
% 8.90/6.82 inference(tautology,[status(thm)],[])).
% 8.90/6.82 tff(30916,plain,
% 8.90/6.82 (~v201(constB171)),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30915, 30914, 30837])).
% 8.90/6.82 tff(30917,plain,
% 8.90/6.82 (((~v197(constB171)) | (~v201(constB171))) | v201(constB171)),
% 8.90/6.82 inference(tautology,[status(thm)],[])).
% 8.90/6.82 tff(30918,plain,
% 8.90/6.82 ((~v197(constB171)) | (~v201(constB171))),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30917, 30916])).
% 8.90/6.82 tff(30919,plain,
% 8.90/6.82 ((~(v200(constB171) <=> (~((~v197(constB171)) | (~v201(constB171)))))) | (~v200(constB171)) | (~((~v197(constB171)) | (~v201(constB171))))),
% 8.90/6.82 inference(tautology,[status(thm)],[])).
% 8.90/6.82 tff(30920,plain,
% 8.90/6.82 (~v200(constB171)),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30919, 30918, 30835])).
% 8.90/6.82 tff(30921,plain,
% 8.90/6.82 (((~v199(constB171)) | (~v200(constB171))) | v200(constB171)),
% 8.90/6.82 inference(tautology,[status(thm)],[])).
% 8.90/6.82 tff(30922,plain,
% 8.90/6.82 ((~v199(constB171)) | (~v200(constB171))),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30921, 30920])).
% 8.90/6.82 tff(30923,plain,
% 8.90/6.82 ((~(v198(constB171) <=> (~((~v199(constB171)) | (~v200(constB171)))))) | (~v198(constB171)) | (~((~v199(constB171)) | (~v200(constB171))))),
% 8.90/6.82 inference(tautology,[status(thm)],[])).
% 8.90/6.82 tff(30924,plain,
% 8.90/6.82 (~v198(constB171)),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30923, 30922, 30833])).
% 8.90/6.82 tff(30925,plain,
% 8.90/6.82 ((~(v194(constB171) | v198(constB171))) | v194(constB171) | v198(constB171)),
% 8.90/6.82 inference(tautology,[status(thm)],[])).
% 8.90/6.82 tff(30926,plain,
% 8.90/6.82 (~(v194(constB171) | v198(constB171))),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30925, 30924, 30831])).
% 8.90/6.82 tff(30927,plain,
% 8.90/6.82 ((~(v191(constB171) <=> (v194(constB171) | v198(constB171)))) | (~v191(constB171)) | (v194(constB171) | v198(constB171))),
% 8.90/6.82 inference(tautology,[status(thm)],[])).
% 8.90/6.82 tff(30928,plain,
% 8.90/6.82 (~v191(constB171)),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30927, 30926, 30758])).
% 8.90/6.82 tff(30929,plain,
% 8.90/6.82 ((~(v193(constB172) <=> v191(constB171))) | (~v193(constB172)) | v191(constB171)),
% 8.90/6.82 inference(tautology,[status(thm)],[])).
% 8.90/6.82 tff(30930,plain,
% 8.90/6.82 (~v193(constB172)),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30929, 30928, 30756])).
% 8.90/6.82 tff(30931,plain,
% 8.90/6.82 ((~(v157(constB172) <=> v193(constB172))) | (~v157(constB172)) | v193(constB172)),
% 8.90/6.82 inference(tautology,[status(thm)],[])).
% 8.90/6.82 tff(30932,plain,
% 8.90/6.82 (~v157(constB172)),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30931, 30930, 30752])).
% 8.90/6.82 tff(30933,plain,
% 8.90/6.82 (((~v157(constB172)) | (~v195(constB172))) | v157(constB172)),
% 8.90/6.82 inference(tautology,[status(thm)],[])).
% 8.90/6.82 tff(30934,plain,
% 8.90/6.82 ((~v157(constB172)) | (~v195(constB172))),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30933, 30932])).
% 8.90/6.82 tff(30935,plain,
% 8.90/6.82 ((~(v194(constB172) <=> (~((~v157(constB172)) | (~v195(constB172)))))) | (~v194(constB172)) | (~((~v157(constB172)) | (~v195(constB172))))),
% 8.90/6.82 inference(tautology,[status(thm)],[])).
% 8.90/6.82 tff(30936,plain,
% 8.90/6.82 (~v194(constB172)),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30935, 30934, 30750])).
% 8.90/6.82 tff(30937,plain,
% 8.90/6.82 ((~(v194(constB172) | v198(constB172))) | v194(constB172) | v198(constB172)),
% 8.90/6.82 inference(tautology,[status(thm)],[])).
% 8.90/6.82 tff(30938,plain,
% 8.90/6.82 (~(v194(constB172) | v198(constB172))),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30937, 30936, 30743])).
% 8.90/6.82 tff(30939,plain,
% 8.90/6.82 ((~(v191(constB172) <=> (v194(constB172) | v198(constB172)))) | (~v191(constB172)) | (v194(constB172) | v198(constB172))),
% 8.90/6.82 inference(tautology,[status(thm)],[])).
% 8.90/6.82 tff(30940,plain,
% 8.90/6.82 (~v191(constB172)),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30939, 30938, 30718])).
% 8.90/6.82 tff(30941,plain,
% 8.90/6.82 ((~(v193(constB173) <=> v191(constB172))) | (~v193(constB173)) | v191(constB172)),
% 8.90/6.82 inference(tautology,[status(thm)],[])).
% 8.90/6.82 tff(30942,plain,
% 8.90/6.82 (~v193(constB173)),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30941, 30940, 30716])).
% 8.90/6.82 tff(30943,plain,
% 8.90/6.82 ($false),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30942, 30712])).
% 8.90/6.82 tff(30944,plain,(~(constB173 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.90/6.82 tff(30945,assumption,(constB75 = VarCurr!0), introduced(assumption)).
% 8.90/6.82 tff(30946,plain,
% 8.90/6.82 (v86(constB75) <=> v86(VarCurr!0)),
% 8.90/6.82 inference(monotonicity,[status(thm)],[30945])).
% 8.90/6.82 tff(30947,plain,
% 8.90/6.82 (v86(VarCurr!0) <=> v86(constB75)),
% 8.90/6.82 inference(symmetry,[status(thm)],[30946])).
% 8.90/6.82 tff(30948,plain,
% 8.90/6.82 ((~v86(VarCurr!0)) <=> (~v86(constB75))),
% 8.90/6.82 inference(monotonicity,[status(thm)],[30947])).
% 8.90/6.82 tff(30949,plain,
% 8.90/6.82 (~v86(constB75)),
% 8.90/6.82 inference(modus_ponens,[status(thm)],[14736, 30948])).
% 8.90/6.82 tff(30950,plain,
% 8.90/6.82 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB75) <=> (v136(constB75) | v145(constB75)))),
% 8.90/6.82 inference(quant_inst,[status(thm)],[])).
% 8.90/6.82 tff(30951,plain,
% 8.90/6.82 (v135(constB75) <=> (v136(constB75) | v145(constB75))),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30950, 14744])).
% 8.90/6.82 tff(30952,plain,
% 8.90/6.82 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB75) <=> (v137(constB75) | v142(constB75)))),
% 8.90/6.82 inference(quant_inst,[status(thm)],[])).
% 8.90/6.82 tff(30953,plain,
% 8.90/6.82 (v136(constB75) <=> (v137(constB75) | v142(constB75))),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30952, 14753])).
% 8.90/6.82 tff(30954,plain,
% 8.90/6.82 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB75) <=> (v143(constB75) | v144(constB75)))),
% 8.90/6.82 inference(quant_inst,[status(thm)],[])).
% 8.90/6.82 tff(30955,plain,
% 8.90/6.82 (v142(constB75) <=> (v143(constB75) | v144(constB75))),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30954, 10332])).
% 8.90/6.82 tff(30956,plain,
% 8.90/6.82 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB75) <=> (~((~v88(constB75, bitIndex1)) | (~v88(constB75, bitIndex2)) | v88(constB75, bitIndex0))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB75) <=> (~((~v88(constB75, bitIndex1)) | (~v88(constB75, bitIndex2)) | v88(constB75, bitIndex0)))))),
% 8.90/6.82 inference(rewrite,[status(thm)],[])).
% 8.90/6.82 tff(30957,plain,
% 8.90/6.82 ((v144(constB75) <=> (~(v88(constB75, bitIndex0) | (~v88(constB75, bitIndex1)) | (~v88(constB75, bitIndex2))))) <=> (v144(constB75) <=> (~((~v88(constB75, bitIndex1)) | (~v88(constB75, bitIndex2)) | v88(constB75, bitIndex0))))),
% 8.90/6.82 inference(rewrite,[status(thm)],[])).
% 8.90/6.82 tff(30958,plain,
% 8.90/6.82 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB75) <=> (~(v88(constB75, bitIndex0) | (~v88(constB75, bitIndex1)) | (~v88(constB75, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB75) <=> (~((~v88(constB75, bitIndex1)) | (~v88(constB75, bitIndex2)) | v88(constB75, bitIndex0)))))),
% 8.90/6.82 inference(monotonicity,[status(thm)],[30957])).
% 8.90/6.82 tff(30959,plain,
% 8.90/6.82 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB75) <=> (~(v88(constB75, bitIndex0) | (~v88(constB75, bitIndex1)) | (~v88(constB75, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB75) <=> (~((~v88(constB75, bitIndex1)) | (~v88(constB75, bitIndex2)) | v88(constB75, bitIndex0)))))),
% 8.90/6.82 inference(transitivity,[status(thm)],[30958, 30956])).
% 8.90/6.82 tff(30960,plain,
% 8.90/6.82 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB75) <=> (~(v88(constB75, bitIndex0) | (~v88(constB75, bitIndex1)) | (~v88(constB75, bitIndex2)))))),
% 8.90/6.82 inference(quant_inst,[status(thm)],[])).
% 8.90/6.82 tff(30961,plain,
% 8.90/6.82 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB75) <=> (~((~v88(constB75, bitIndex1)) | (~v88(constB75, bitIndex2)) | v88(constB75, bitIndex0))))),
% 8.90/6.82 inference(modus_ponens,[status(thm)],[30960, 30959])).
% 8.90/6.82 tff(30962,plain,
% 8.90/6.82 (v144(constB75) <=> (~((~v88(constB75, bitIndex1)) | (~v88(constB75, bitIndex2)) | v88(constB75, bitIndex0)))),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30961, 10347])).
% 8.90/6.82 tff(30963,plain,
% 8.90/6.82 ((~![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))) | (~(((~v88(constB75, bitIndex1)) <=> v90(constB75, bitIndex1)) | ((~v88(constB75, bitIndex2)) <=> v90(constB75, bitIndex2)) | ((~v88(constB75, bitIndex0)) <=> v90(constB75, bitIndex0))))),
% 8.90/6.82 inference(quant_inst,[status(thm)],[])).
% 8.90/6.82 tff(30964,plain,
% 8.90/6.82 (~(((~v88(constB75, bitIndex1)) <=> v90(constB75, bitIndex1)) | ((~v88(constB75, bitIndex2)) <=> v90(constB75, bitIndex2)) | ((~v88(constB75, bitIndex0)) <=> v90(constB75, bitIndex0)))),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30963, 428])).
% 8.90/6.82 tff(30965,plain,
% 8.90/6.82 ((((~v88(constB75, bitIndex1)) <=> v90(constB75, bitIndex1)) | ((~v88(constB75, bitIndex2)) <=> v90(constB75, bitIndex2)) | ((~v88(constB75, bitIndex0)) <=> v90(constB75, bitIndex0))) | (~((~v88(constB75, bitIndex2)) <=> v90(constB75, bitIndex2)))),
% 8.90/6.82 inference(tautology,[status(thm)],[])).
% 8.90/6.82 tff(30966,plain,
% 8.90/6.82 (~((~v88(constB75, bitIndex2)) <=> v90(constB75, bitIndex2))),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30965, 30964])).
% 8.90/6.82 tff(30967,plain,
% 8.90/6.82 (((~v88(constB75, bitIndex2)) <=> v90(constB75, bitIndex2)) | v88(constB75, bitIndex2) | (~v90(constB75, bitIndex2))),
% 8.90/6.82 inference(tautology,[status(thm)],[])).
% 8.90/6.82 tff(30968,plain,
% 8.90/6.82 (v88(constB75, bitIndex2)),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30967, 9352, 30966])).
% 8.90/6.82 tff(30969,plain,
% 8.90/6.82 ((((~v88(constB75, bitIndex1)) <=> v90(constB75, bitIndex1)) | ((~v88(constB75, bitIndex2)) <=> v90(constB75, bitIndex2)) | ((~v88(constB75, bitIndex0)) <=> v90(constB75, bitIndex0))) | (~((~v88(constB75, bitIndex0)) <=> v90(constB75, bitIndex0)))),
% 8.90/6.82 inference(tautology,[status(thm)],[])).
% 8.90/6.82 tff(30970,plain,
% 8.90/6.82 (~((~v88(constB75, bitIndex0)) <=> v90(constB75, bitIndex0))),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30969, 30964])).
% 8.90/6.82 tff(30971,plain,
% 8.90/6.82 (((~v88(constB75, bitIndex0)) <=> v90(constB75, bitIndex0)) | (~v88(constB75, bitIndex0)) | v90(constB75, bitIndex0)),
% 8.90/6.82 inference(tautology,[status(thm)],[])).
% 8.90/6.82 tff(30972,plain,
% 8.90/6.82 (~v88(constB75, bitIndex0)),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30971, 9272, 30970])).
% 8.90/6.82 tff(30973,plain,
% 8.90/6.82 ((((~v88(constB75, bitIndex1)) <=> v90(constB75, bitIndex1)) | ((~v88(constB75, bitIndex2)) <=> v90(constB75, bitIndex2)) | ((~v88(constB75, bitIndex0)) <=> v90(constB75, bitIndex0))) | (~((~v88(constB75, bitIndex1)) <=> v90(constB75, bitIndex1)))),
% 8.90/6.82 inference(tautology,[status(thm)],[])).
% 8.90/6.82 tff(30974,plain,
% 8.90/6.82 (~((~v88(constB75, bitIndex1)) <=> v90(constB75, bitIndex1))),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30973, 30964])).
% 8.90/6.82 tff(30975,plain,
% 8.90/6.82 (((~v88(constB75, bitIndex1)) <=> v90(constB75, bitIndex1)) | v88(constB75, bitIndex1) | (~v90(constB75, bitIndex1))),
% 8.90/6.82 inference(tautology,[status(thm)],[])).
% 8.90/6.82 tff(30976,plain,
% 8.90/6.82 (v88(constB75, bitIndex1)),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30975, 9312, 30974])).
% 8.90/6.82 tff(30977,plain,
% 8.90/6.82 ((~((~v88(constB75, bitIndex1)) | (~v88(constB75, bitIndex2)) | v88(constB75, bitIndex0))) | (~v88(constB75, bitIndex1)) | (~v88(constB75, bitIndex2)) | v88(constB75, bitIndex0)),
% 8.90/6.82 inference(tautology,[status(thm)],[])).
% 8.90/6.82 tff(30978,plain,
% 8.90/6.82 (~((~v88(constB75, bitIndex1)) | (~v88(constB75, bitIndex2)) | v88(constB75, bitIndex0))),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30977, 30976, 30972, 30968])).
% 8.90/6.82 tff(30979,plain,
% 8.90/6.82 ((~(v144(constB75) <=> (~((~v88(constB75, bitIndex1)) | (~v88(constB75, bitIndex2)) | v88(constB75, bitIndex0))))) | v144(constB75) | ((~v88(constB75, bitIndex1)) | (~v88(constB75, bitIndex2)) | v88(constB75, bitIndex0))),
% 8.90/6.82 inference(tautology,[status(thm)],[])).
% 8.90/6.82 tff(30980,plain,
% 8.90/6.82 (v144(constB75)),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30979, 30978, 30962])).
% 8.90/6.82 tff(30981,plain,
% 8.90/6.82 ((v143(constB75) | v144(constB75)) | (~v144(constB75))),
% 8.90/6.82 inference(tautology,[status(thm)],[])).
% 8.90/6.82 tff(30982,plain,
% 8.90/6.82 (v143(constB75) | v144(constB75)),
% 8.90/6.82 inference(unit_resolution,[status(thm)],[30981, 30980])).
% 8.90/6.82 tff(30983,plain,
% 8.90/6.82 ((~(v142(constB75) <=> (v143(constB75) | v144(constB75)))) | v142(constB75) | (~(v143(constB75) | v144(constB75)))),
% 8.90/6.83 inference(tautology,[status(thm)],[])).
% 8.90/6.83 tff(30984,plain,
% 8.90/6.83 (v142(constB75)),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[30983, 30982, 30955])).
% 8.90/6.83 tff(30985,plain,
% 8.90/6.83 ((v137(constB75) | v142(constB75)) | (~v142(constB75))),
% 8.90/6.83 inference(tautology,[status(thm)],[])).
% 8.90/6.83 tff(30986,plain,
% 8.90/6.83 (v137(constB75) | v142(constB75)),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[30985, 30984])).
% 8.90/6.83 tff(30987,plain,
% 8.90/6.83 ((~(v136(constB75) <=> (v137(constB75) | v142(constB75)))) | v136(constB75) | (~(v137(constB75) | v142(constB75)))),
% 8.90/6.83 inference(tautology,[status(thm)],[])).
% 8.90/6.83 tff(30988,plain,
% 8.90/6.83 ((~(v136(constB75) <=> (v137(constB75) | v142(constB75)))) | v136(constB75)),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[30987, 30986])).
% 8.90/6.83 tff(30989,plain,
% 8.90/6.83 (v136(constB75)),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[30988, 30953])).
% 8.90/6.83 tff(30990,plain,
% 8.90/6.83 ((v136(constB75) | v145(constB75)) | (~v136(constB75))),
% 8.90/6.83 inference(tautology,[status(thm)],[])).
% 8.90/6.83 tff(30991,plain,
% 8.90/6.83 (v136(constB75) | v145(constB75)),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[30990, 30989])).
% 8.90/6.83 tff(30992,plain,
% 8.90/6.83 ((~(v135(constB75) <=> (v136(constB75) | v145(constB75)))) | v135(constB75) | (~(v136(constB75) | v145(constB75)))),
% 8.90/6.83 inference(tautology,[status(thm)],[])).
% 8.90/6.83 tff(30993,plain,
% 8.90/6.83 (v135(constB75)),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[30992, 30991, 30951])).
% 8.90/6.83 tff(30994,plain,
% 8.90/6.83 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB75)) | (v86(constB75) <=> v148(constB75)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB75)) | (v86(constB75) <=> v148(constB75)))),
% 8.90/6.83 inference(rewrite,[status(thm)],[])).
% 8.90/6.83 tff(30995,plain,
% 8.90/6.83 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB75)) | (v86(constB75) <=> v148(constB75)))),
% 8.90/6.83 inference(quant_inst,[status(thm)],[])).
% 8.90/6.83 tff(30996,plain,
% 8.90/6.83 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB75)) | (v86(constB75) <=> v148(constB75))),
% 8.90/6.83 inference(modus_ponens,[status(thm)],[30995, 30994])).
% 8.90/6.83 tff(30997,plain,
% 8.90/6.83 (v86(constB75) <=> v148(constB75)),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[30996, 14818, 30993])).
% 8.90/6.83 tff(30998,plain,
% 8.90/6.83 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB75) | (~v142(constB75)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB75) | (~v142(constB75)))),
% 8.90/6.83 inference(rewrite,[status(thm)],[])).
% 8.90/6.83 tff(30999,plain,
% 8.90/6.83 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB75) | (~v142(constB75)))),
% 8.90/6.83 inference(quant_inst,[status(thm)],[])).
% 8.90/6.83 tff(31000,plain,
% 8.90/6.83 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB75) | (~v142(constB75))),
% 8.90/6.83 inference(modus_ponens,[status(thm)],[30999, 30998])).
% 8.90/6.83 tff(31001,plain,
% 8.90/6.83 (v148(constB75)),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[31000, 14832, 30984])).
% 8.90/6.83 tff(31002,plain,
% 8.90/6.83 ((~(v86(constB75) <=> v148(constB75))) | v86(constB75) | (~v148(constB75))),
% 8.90/6.83 inference(tautology,[status(thm)],[])).
% 8.90/6.83 tff(31003,plain,
% 8.90/6.83 ((~(v86(constB75) <=> v148(constB75))) | v86(constB75)),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[31002, 31001])).
% 8.90/6.83 tff(31004,plain,
% 8.90/6.83 (v86(constB75)),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[31003, 30997])).
% 8.90/6.83 tff(31005,plain,
% 8.90/6.83 ($false),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[31004, 30949])).
% 8.90/6.83 tff(31006,plain,(~(constB75 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.90/6.83 tff(31007,assumption,(constB175 = VarCurr!0), introduced(assumption)).
% 8.90/6.83 tff(31008,plain,
% 8.90/6.83 (v86(constB175) <=> v86(VarCurr!0)),
% 8.90/6.83 inference(monotonicity,[status(thm)],[31007])).
% 8.90/6.83 tff(31009,plain,
% 8.90/6.83 (v86(VarCurr!0) <=> v86(constB175)),
% 8.90/6.83 inference(symmetry,[status(thm)],[31008])).
% 8.90/6.83 tff(31010,plain,
% 8.90/6.83 ((~v86(VarCurr!0)) <=> (~v86(constB175))),
% 8.90/6.83 inference(monotonicity,[status(thm)],[31009])).
% 8.90/6.83 tff(31011,plain,
% 8.90/6.83 (~v86(constB175)),
% 8.90/6.83 inference(modus_ponens,[status(thm)],[14736, 31010])).
% 8.90/6.83 tff(31012,plain,
% 8.90/6.83 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB175) <=> (v136(constB175) | v145(constB175)))),
% 8.90/6.83 inference(quant_inst,[status(thm)],[])).
% 8.90/6.83 tff(31013,plain,
% 8.90/6.83 (v135(constB175) <=> (v136(constB175) | v145(constB175))),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[31012, 14744])).
% 8.90/6.83 tff(31014,plain,
% 8.90/6.83 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB175) <=> (v137(constB175) | v142(constB175)))),
% 8.90/6.83 inference(quant_inst,[status(thm)],[])).
% 8.90/6.83 tff(31015,plain,
% 8.90/6.83 (v136(constB175) <=> (v137(constB175) | v142(constB175))),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[31014, 14753])).
% 8.90/6.83 tff(31016,plain,
% 8.90/6.83 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB175) <=> (v143(constB175) | v144(constB175)))),
% 8.90/6.83 inference(quant_inst,[status(thm)],[])).
% 8.90/6.83 tff(31017,plain,
% 8.90/6.83 (v142(constB175) <=> (v143(constB175) | v144(constB175))),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[31016, 10332])).
% 8.90/6.83 tff(31018,plain,
% 8.90/6.83 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB175) <=> (~((~v88(constB175, bitIndex1)) | (~v88(constB175, bitIndex2)) | v88(constB175, bitIndex0))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB175) <=> (~((~v88(constB175, bitIndex1)) | (~v88(constB175, bitIndex2)) | v88(constB175, bitIndex0)))))),
% 8.90/6.83 inference(rewrite,[status(thm)],[])).
% 8.90/6.83 tff(31019,plain,
% 8.90/6.83 ((v144(constB175) <=> (~(v88(constB175, bitIndex0) | (~v88(constB175, bitIndex1)) | (~v88(constB175, bitIndex2))))) <=> (v144(constB175) <=> (~((~v88(constB175, bitIndex1)) | (~v88(constB175, bitIndex2)) | v88(constB175, bitIndex0))))),
% 8.90/6.83 inference(rewrite,[status(thm)],[])).
% 8.90/6.83 tff(31020,plain,
% 8.90/6.83 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB175) <=> (~(v88(constB175, bitIndex0) | (~v88(constB175, bitIndex1)) | (~v88(constB175, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB175) <=> (~((~v88(constB175, bitIndex1)) | (~v88(constB175, bitIndex2)) | v88(constB175, bitIndex0)))))),
% 8.90/6.83 inference(monotonicity,[status(thm)],[31019])).
% 8.90/6.83 tff(31021,plain,
% 8.90/6.83 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB175) <=> (~(v88(constB175, bitIndex0) | (~v88(constB175, bitIndex1)) | (~v88(constB175, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB175) <=> (~((~v88(constB175, bitIndex1)) | (~v88(constB175, bitIndex2)) | v88(constB175, bitIndex0)))))),
% 8.90/6.83 inference(transitivity,[status(thm)],[31020, 31018])).
% 8.90/6.83 tff(31022,plain,
% 8.90/6.83 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB175) <=> (~(v88(constB175, bitIndex0) | (~v88(constB175, bitIndex1)) | (~v88(constB175, bitIndex2)))))),
% 8.90/6.83 inference(quant_inst,[status(thm)],[])).
% 8.90/6.83 tff(31023,plain,
% 8.90/6.83 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB175) <=> (~((~v88(constB175, bitIndex1)) | (~v88(constB175, bitIndex2)) | v88(constB175, bitIndex0))))),
% 8.90/6.83 inference(modus_ponens,[status(thm)],[31022, 31021])).
% 8.90/6.83 tff(31024,plain,
% 8.90/6.83 (v144(constB175) <=> (~((~v88(constB175, bitIndex1)) | (~v88(constB175, bitIndex2)) | v88(constB175, bitIndex0)))),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[31023, 10347])).
% 8.90/6.83 tff(31025,plain,
% 8.90/6.83 ((~![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))) | (~(((~v88(constB175, bitIndex1)) <=> v90(constB175, bitIndex1)) | ((~v88(constB175, bitIndex2)) <=> v90(constB175, bitIndex2)) | ((~v88(constB175, bitIndex0)) <=> v90(constB175, bitIndex0))))),
% 8.90/6.83 inference(quant_inst,[status(thm)],[])).
% 8.90/6.83 tff(31026,plain,
% 8.90/6.83 (~(((~v88(constB175, bitIndex1)) <=> v90(constB175, bitIndex1)) | ((~v88(constB175, bitIndex2)) <=> v90(constB175, bitIndex2)) | ((~v88(constB175, bitIndex0)) <=> v90(constB175, bitIndex0)))),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[31025, 428])).
% 8.90/6.83 tff(31027,plain,
% 8.90/6.83 ((((~v88(constB175, bitIndex1)) <=> v90(constB175, bitIndex1)) | ((~v88(constB175, bitIndex2)) <=> v90(constB175, bitIndex2)) | ((~v88(constB175, bitIndex0)) <=> v90(constB175, bitIndex0))) | (~((~v88(constB175, bitIndex2)) <=> v90(constB175, bitIndex2)))),
% 8.90/6.83 inference(tautology,[status(thm)],[])).
% 8.90/6.83 tff(31028,plain,
% 8.90/6.83 (~((~v88(constB175, bitIndex2)) <=> v90(constB175, bitIndex2))),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[31027, 31026])).
% 8.90/6.83 tff(31029,plain,
% 8.90/6.83 (((~v88(constB175, bitIndex2)) <=> v90(constB175, bitIndex2)) | v88(constB175, bitIndex2) | (~v90(constB175, bitIndex2))),
% 8.90/6.83 inference(tautology,[status(thm)],[])).
% 8.90/6.83 tff(31030,plain,
% 8.90/6.83 (v88(constB175, bitIndex2)),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[31029, 22390, 31028])).
% 8.90/6.83 tff(31031,plain,
% 8.90/6.83 ((((~v88(constB175, bitIndex1)) <=> v90(constB175, bitIndex1)) | ((~v88(constB175, bitIndex2)) <=> v90(constB175, bitIndex2)) | ((~v88(constB175, bitIndex0)) <=> v90(constB175, bitIndex0))) | (~((~v88(constB175, bitIndex0)) <=> v90(constB175, bitIndex0)))),
% 8.90/6.83 inference(tautology,[status(thm)],[])).
% 8.90/6.83 tff(31032,plain,
% 8.90/6.83 (~((~v88(constB175, bitIndex0)) <=> v90(constB175, bitIndex0))),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[31031, 31026])).
% 8.90/6.83 tff(31033,plain,
% 8.90/6.83 (((~v88(constB175, bitIndex0)) <=> v90(constB175, bitIndex0)) | (~v88(constB175, bitIndex0)) | v90(constB175, bitIndex0)),
% 8.90/6.83 inference(tautology,[status(thm)],[])).
% 8.90/6.83 tff(31034,plain,
% 8.90/6.83 (~v88(constB175, bitIndex0)),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[31033, 22310, 31032])).
% 8.90/6.83 tff(31035,plain,
% 8.90/6.83 ((((~v88(constB175, bitIndex1)) <=> v90(constB175, bitIndex1)) | ((~v88(constB175, bitIndex2)) <=> v90(constB175, bitIndex2)) | ((~v88(constB175, bitIndex0)) <=> v90(constB175, bitIndex0))) | (~((~v88(constB175, bitIndex1)) <=> v90(constB175, bitIndex1)))),
% 8.90/6.83 inference(tautology,[status(thm)],[])).
% 8.90/6.83 tff(31036,plain,
% 8.90/6.83 (~((~v88(constB175, bitIndex1)) <=> v90(constB175, bitIndex1))),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[31035, 31026])).
% 8.90/6.83 tff(31037,plain,
% 8.90/6.83 (((~v88(constB175, bitIndex1)) <=> v90(constB175, bitIndex1)) | v88(constB175, bitIndex1) | (~v90(constB175, bitIndex1))),
% 8.90/6.83 inference(tautology,[status(thm)],[])).
% 8.90/6.83 tff(31038,plain,
% 8.90/6.83 (v88(constB175, bitIndex1)),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[31037, 22350, 31036])).
% 8.90/6.83 tff(31039,plain,
% 8.90/6.83 ((~((~v88(constB175, bitIndex1)) | (~v88(constB175, bitIndex2)) | v88(constB175, bitIndex0))) | (~v88(constB175, bitIndex1)) | (~v88(constB175, bitIndex2)) | v88(constB175, bitIndex0)),
% 8.90/6.83 inference(tautology,[status(thm)],[])).
% 8.90/6.83 tff(31040,plain,
% 8.90/6.83 (~((~v88(constB175, bitIndex1)) | (~v88(constB175, bitIndex2)) | v88(constB175, bitIndex0))),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[31039, 31038, 31034, 31030])).
% 8.90/6.83 tff(31041,plain,
% 8.90/6.83 ((~(v144(constB175) <=> (~((~v88(constB175, bitIndex1)) | (~v88(constB175, bitIndex2)) | v88(constB175, bitIndex0))))) | v144(constB175) | ((~v88(constB175, bitIndex1)) | (~v88(constB175, bitIndex2)) | v88(constB175, bitIndex0))),
% 8.90/6.83 inference(tautology,[status(thm)],[])).
% 8.90/6.83 tff(31042,plain,
% 8.90/6.83 (v144(constB175)),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[31041, 31040, 31024])).
% 8.90/6.83 tff(31043,plain,
% 8.90/6.83 ((v143(constB175) | v144(constB175)) | (~v144(constB175))),
% 8.90/6.83 inference(tautology,[status(thm)],[])).
% 8.90/6.83 tff(31044,plain,
% 8.90/6.83 (v143(constB175) | v144(constB175)),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[31043, 31042])).
% 8.90/6.83 tff(31045,plain,
% 8.90/6.83 ((~(v142(constB175) <=> (v143(constB175) | v144(constB175)))) | v142(constB175) | (~(v143(constB175) | v144(constB175)))),
% 8.90/6.83 inference(tautology,[status(thm)],[])).
% 8.90/6.83 tff(31046,plain,
% 8.90/6.83 (v142(constB175)),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[31045, 31044, 31017])).
% 8.90/6.83 tff(31047,plain,
% 8.90/6.83 ((v137(constB175) | v142(constB175)) | (~v142(constB175))),
% 8.90/6.83 inference(tautology,[status(thm)],[])).
% 8.90/6.83 tff(31048,plain,
% 8.90/6.83 (v137(constB175) | v142(constB175)),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[31047, 31046])).
% 8.90/6.83 tff(31049,plain,
% 8.90/6.83 ((~(v136(constB175) <=> (v137(constB175) | v142(constB175)))) | v136(constB175) | (~(v137(constB175) | v142(constB175)))),
% 8.90/6.83 inference(tautology,[status(thm)],[])).
% 8.90/6.83 tff(31050,plain,
% 8.90/6.83 ((~(v136(constB175) <=> (v137(constB175) | v142(constB175)))) | v136(constB175)),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[31049, 31048])).
% 8.90/6.83 tff(31051,plain,
% 8.90/6.83 (v136(constB175)),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[31050, 31015])).
% 8.90/6.83 tff(31052,plain,
% 8.90/6.83 ((v136(constB175) | v145(constB175)) | (~v136(constB175))),
% 8.90/6.83 inference(tautology,[status(thm)],[])).
% 8.90/6.83 tff(31053,plain,
% 8.90/6.83 (v136(constB175) | v145(constB175)),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[31052, 31051])).
% 8.90/6.83 tff(31054,plain,
% 8.90/6.83 ((~(v135(constB175) <=> (v136(constB175) | v145(constB175)))) | v135(constB175) | (~(v136(constB175) | v145(constB175)))),
% 8.90/6.83 inference(tautology,[status(thm)],[])).
% 8.90/6.83 tff(31055,plain,
% 8.90/6.83 (v135(constB175)),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[31054, 31053, 31013])).
% 8.90/6.83 tff(31056,plain,
% 8.90/6.83 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB175)) | (v86(constB175) <=> v148(constB175)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB175)) | (v86(constB175) <=> v148(constB175)))),
% 8.90/6.83 inference(rewrite,[status(thm)],[])).
% 8.90/6.83 tff(31057,plain,
% 8.90/6.83 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB175)) | (v86(constB175) <=> v148(constB175)))),
% 8.90/6.83 inference(quant_inst,[status(thm)],[])).
% 8.90/6.83 tff(31058,plain,
% 8.90/6.83 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB175)) | (v86(constB175) <=> v148(constB175))),
% 8.90/6.83 inference(modus_ponens,[status(thm)],[31057, 31056])).
% 8.90/6.83 tff(31059,plain,
% 8.90/6.83 (v86(constB175) <=> v148(constB175)),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[31058, 14818, 31055])).
% 8.90/6.83 tff(31060,plain,
% 8.90/6.83 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB175) | (~v142(constB175)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB175) | (~v142(constB175)))),
% 8.90/6.83 inference(rewrite,[status(thm)],[])).
% 8.90/6.83 tff(31061,plain,
% 8.90/6.83 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB175) | (~v142(constB175)))),
% 8.90/6.83 inference(quant_inst,[status(thm)],[])).
% 8.90/6.83 tff(31062,plain,
% 8.90/6.83 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB175) | (~v142(constB175))),
% 8.90/6.83 inference(modus_ponens,[status(thm)],[31061, 31060])).
% 8.90/6.83 tff(31063,plain,
% 8.90/6.83 (v148(constB175)),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[31062, 14832, 31046])).
% 8.90/6.83 tff(31064,plain,
% 8.90/6.83 ((~(v86(constB175) <=> v148(constB175))) | v86(constB175) | (~v148(constB175))),
% 8.90/6.83 inference(tautology,[status(thm)],[])).
% 8.90/6.83 tff(31065,plain,
% 8.90/6.83 ((~(v86(constB175) <=> v148(constB175))) | v86(constB175)),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[31064, 31063])).
% 8.90/6.83 tff(31066,plain,
% 8.90/6.83 (v86(constB175)),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[31065, 31059])).
% 8.90/6.83 tff(31067,plain,
% 8.90/6.83 ($false),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[31066, 31011])).
% 8.90/6.83 tff(31068,plain,(~(constB175 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.90/6.83 tff(31069,assumption,(constB119 = VarCurr!0), introduced(assumption)).
% 8.90/6.83 tff(31070,plain,
% 8.90/6.83 (v86(constB119) <=> v86(VarCurr!0)),
% 8.90/6.83 inference(monotonicity,[status(thm)],[31069])).
% 8.90/6.83 tff(31071,plain,
% 8.90/6.83 (v86(VarCurr!0) <=> v86(constB119)),
% 8.90/6.83 inference(symmetry,[status(thm)],[31070])).
% 8.90/6.83 tff(31072,plain,
% 8.90/6.83 ((~v86(VarCurr!0)) <=> (~v86(constB119))),
% 8.90/6.83 inference(monotonicity,[status(thm)],[31071])).
% 8.90/6.83 tff(31073,plain,
% 8.90/6.83 (~v86(constB119)),
% 8.90/6.83 inference(modus_ponens,[status(thm)],[14736, 31072])).
% 8.90/6.83 tff(31074,plain,
% 8.90/6.83 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB119) <=> (v136(constB119) | v145(constB119)))),
% 8.90/6.83 inference(quant_inst,[status(thm)],[])).
% 8.90/6.83 tff(31075,plain,
% 8.90/6.83 (v135(constB119) <=> (v136(constB119) | v145(constB119))),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[31074, 14744])).
% 8.90/6.83 tff(31076,plain,
% 8.90/6.83 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB119) <=> (v137(constB119) | v142(constB119)))),
% 8.90/6.83 inference(quant_inst,[status(thm)],[])).
% 8.90/6.83 tff(31077,plain,
% 8.90/6.83 (v136(constB119) <=> (v137(constB119) | v142(constB119))),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[31076, 14753])).
% 8.90/6.83 tff(31078,plain,
% 8.90/6.83 ((v137(constB119) | v142(constB119)) | (~v142(constB119))),
% 8.90/6.83 inference(tautology,[status(thm)],[])).
% 8.90/6.83 tff(31079,plain,
% 8.90/6.83 (v137(constB119) | v142(constB119)),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[31078, 26362])).
% 8.90/6.83 tff(31080,plain,
% 8.90/6.83 ((~(v136(constB119) <=> (v137(constB119) | v142(constB119)))) | v136(constB119) | (~(v137(constB119) | v142(constB119)))),
% 8.90/6.83 inference(tautology,[status(thm)],[])).
% 8.90/6.83 tff(31081,plain,
% 8.90/6.83 ((~(v136(constB119) <=> (v137(constB119) | v142(constB119)))) | v136(constB119)),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[31080, 31079])).
% 8.90/6.83 tff(31082,plain,
% 8.90/6.83 (v136(constB119)),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[31081, 31077])).
% 8.90/6.83 tff(31083,plain,
% 8.90/6.83 ((v136(constB119) | v145(constB119)) | (~v136(constB119))),
% 8.90/6.83 inference(tautology,[status(thm)],[])).
% 8.90/6.83 tff(31084,plain,
% 8.90/6.83 (v136(constB119) | v145(constB119)),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[31083, 31082])).
% 8.90/6.83 tff(31085,plain,
% 8.90/6.83 ((~(v135(constB119) <=> (v136(constB119) | v145(constB119)))) | v135(constB119) | (~(v136(constB119) | v145(constB119)))),
% 8.90/6.83 inference(tautology,[status(thm)],[])).
% 8.90/6.83 tff(31086,plain,
% 8.90/6.83 (v135(constB119)),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[31085, 31084, 31075])).
% 8.90/6.83 tff(31087,plain,
% 8.90/6.83 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB119)) | (v86(constB119) <=> v148(constB119)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB119)) | (v86(constB119) <=> v148(constB119)))),
% 8.90/6.83 inference(rewrite,[status(thm)],[])).
% 8.90/6.83 tff(31088,plain,
% 8.90/6.83 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB119)) | (v86(constB119) <=> v148(constB119)))),
% 8.90/6.83 inference(quant_inst,[status(thm)],[])).
% 8.90/6.83 tff(31089,plain,
% 8.90/6.83 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB119)) | (v86(constB119) <=> v148(constB119))),
% 8.90/6.83 inference(modus_ponens,[status(thm)],[31088, 31087])).
% 8.90/6.83 tff(31090,plain,
% 8.90/6.83 (v86(constB119) <=> v148(constB119)),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[31089, 14818, 31086])).
% 8.90/6.83 tff(31091,plain,
% 8.90/6.83 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB119) | (~v142(constB119)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB119) | (~v142(constB119)))),
% 8.90/6.83 inference(rewrite,[status(thm)],[])).
% 8.90/6.83 tff(31092,plain,
% 8.90/6.83 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB119) | (~v142(constB119)))),
% 8.90/6.83 inference(quant_inst,[status(thm)],[])).
% 8.90/6.83 tff(31093,plain,
% 8.90/6.83 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB119) | (~v142(constB119))),
% 8.90/6.83 inference(modus_ponens,[status(thm)],[31092, 31091])).
% 8.90/6.83 tff(31094,plain,
% 8.90/6.83 (v148(constB119)),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[31093, 14832, 26362])).
% 8.90/6.83 tff(31095,plain,
% 8.90/6.83 ((~(v86(constB119) <=> v148(constB119))) | v86(constB119) | (~v148(constB119))),
% 8.90/6.83 inference(tautology,[status(thm)],[])).
% 8.90/6.83 tff(31096,plain,
% 8.90/6.83 ((~(v86(constB119) <=> v148(constB119))) | v86(constB119)),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[31095, 31094])).
% 8.90/6.83 tff(31097,plain,
% 8.90/6.83 (v86(constB119)),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[31096, 31090])).
% 8.90/6.83 tff(31098,plain,
% 8.90/6.83 ($false),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[31097, 31073])).
% 8.90/6.83 tff(31099,plain,(~(constB119 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.90/6.83 tff(31100,assumption,(constB183 = VarCurr!0), introduced(assumption)).
% 8.90/6.83 tff(31101,plain,
% 8.90/6.83 (v193(constB183) <=> v193(VarCurr!0)),
% 8.90/6.83 inference(monotonicity,[status(thm)],[31100])).
% 8.90/6.83 tff(31102,plain,
% 8.90/6.83 (v193(VarCurr!0) <=> v193(constB183)),
% 8.90/6.83 inference(symmetry,[status(thm)],[31101])).
% 8.90/6.83 tff(31103,plain,
% 8.90/6.83 (v193(constB183)),
% 8.90/6.83 inference(modus_ponens,[status(thm)],[59, 31102])).
% 8.90/6.83 tff(31104,plain,
% 8.90/6.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB182, constB183)) | (v193(constB183) <=> v191(constB182)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB182, constB183)) | (v193(constB183) <=> v191(constB182)))),
% 8.90/6.83 inference(rewrite,[status(thm)],[])).
% 8.90/6.83 tff(31105,plain,
% 8.90/6.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB182, constB183)) | (v193(constB183) <=> v191(constB182)))),
% 8.90/6.83 inference(quant_inst,[status(thm)],[])).
% 8.90/6.83 tff(31106,plain,
% 8.90/6.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB182, constB183)) | (v193(constB183) <=> v191(constB182))),
% 8.90/6.83 inference(modus_ponens,[status(thm)],[31105, 31104])).
% 8.90/6.83 tff(31107,plain,
% 8.90/6.83 (v193(constB183) <=> v191(constB182)),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[31106, 15387, 70])).
% 8.90/6.83 tff(31108,plain,
% 8.90/6.83 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB182) <=> (v194(constB182) | v198(constB182)))),
% 8.90/6.83 inference(quant_inst,[status(thm)],[])).
% 8.90/6.83 tff(31109,plain,
% 8.90/6.83 (v191(constB182) <=> (v194(constB182) | v198(constB182))),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[31108, 84])).
% 8.90/6.83 tff(31110,plain,
% 8.90/6.83 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB182) <=> (~((~v199(constB182)) | (~v200(constB182)))))),
% 8.90/6.83 inference(quant_inst,[status(thm)],[])).
% 8.90/6.83 tff(31111,plain,
% 8.90/6.83 (v198(constB182) <=> (~((~v199(constB182)) | (~v200(constB182))))),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[31110, 96])).
% 8.90/6.83 tff(31112,plain,
% 8.90/6.83 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB182) <=> (~((~v197(constB182)) | (~v201(constB182)))))),
% 8.90/6.83 inference(quant_inst,[status(thm)],[])).
% 8.90/6.83 tff(31113,plain,
% 8.90/6.83 (v200(constB182) <=> (~((~v197(constB182)) | (~v201(constB182))))),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[31112, 108])).
% 8.90/6.83 tff(31114,plain,
% 8.90/6.83 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB182) <=> (~((~v39(constB182)) | (~v9(constB182)))))),
% 8.90/6.83 inference(quant_inst,[status(thm)],[])).
% 8.90/6.83 tff(31115,plain,
% 8.90/6.83 (v197(constB182) <=> (~((~v39(constB182)) | (~v9(constB182))))),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[31114, 120])).
% 8.90/6.83 tff(31116,plain,
% 8.90/6.83 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB182)) <=> v1(constB182))),
% 8.90/6.83 inference(quant_inst,[status(thm)],[])).
% 8.90/6.83 tff(31117,plain,
% 8.90/6.83 ((~v39(constB182)) <=> v1(constB182)),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[31116, 129])).
% 8.90/6.83 tff(31118,plain,
% 8.90/6.83 ((~((~v39(constB182)) <=> v1(constB182))) | (~v39(constB182)) | (~v1(constB182))),
% 8.90/6.83 inference(tautology,[status(thm)],[])).
% 8.90/6.83 tff(31119,plain,
% 8.90/6.83 ((~((~v39(constB182)) <=> v1(constB182))) | (~v39(constB182))),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[31118, 22897])).
% 8.90/6.83 tff(31120,plain,
% 8.90/6.83 (~v39(constB182)),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[31119, 31117])).
% 8.90/6.83 tff(31121,plain,
% 8.90/6.83 (((~v39(constB182)) | (~v9(constB182))) | v39(constB182)),
% 8.90/6.83 inference(tautology,[status(thm)],[])).
% 8.90/6.83 tff(31122,plain,
% 8.90/6.83 ((~v39(constB182)) | (~v9(constB182))),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[31121, 31120])).
% 8.90/6.83 tff(31123,plain,
% 8.90/6.83 ((~(v197(constB182) <=> (~((~v39(constB182)) | (~v9(constB182)))))) | (~v197(constB182)) | (~((~v39(constB182)) | (~v9(constB182))))),
% 8.90/6.83 inference(tautology,[status(thm)],[])).
% 8.90/6.83 tff(31124,plain,
% 8.90/6.83 ((~(v197(constB182) <=> (~((~v39(constB182)) | (~v9(constB182)))))) | (~v197(constB182))),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[31123, 31122])).
% 8.90/6.83 tff(31125,plain,
% 8.90/6.83 (~v197(constB182)),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[31124, 31115])).
% 8.90/6.83 tff(31126,plain,
% 8.90/6.83 (((~v197(constB182)) | (~v201(constB182))) | v197(constB182)),
% 8.90/6.83 inference(tautology,[status(thm)],[])).
% 8.90/6.83 tff(31127,plain,
% 8.90/6.83 ((~v197(constB182)) | (~v201(constB182))),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[31126, 31125])).
% 8.90/6.83 tff(31128,plain,
% 8.90/6.83 ((~(v200(constB182) <=> (~((~v197(constB182)) | (~v201(constB182)))))) | (~v200(constB182)) | (~((~v197(constB182)) | (~v201(constB182))))),
% 8.90/6.83 inference(tautology,[status(thm)],[])).
% 8.90/6.83 tff(31129,plain,
% 8.90/6.83 ((~(v200(constB182) <=> (~((~v197(constB182)) | (~v201(constB182)))))) | (~v200(constB182))),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[31128, 31127])).
% 8.90/6.83 tff(31130,plain,
% 8.90/6.83 (~v200(constB182)),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[31129, 31113])).
% 8.90/6.83 tff(31131,plain,
% 8.90/6.83 (((~v199(constB182)) | (~v200(constB182))) | v200(constB182)),
% 8.90/6.83 inference(tautology,[status(thm)],[])).
% 8.90/6.83 tff(31132,plain,
% 8.90/6.83 ((~v199(constB182)) | (~v200(constB182))),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[31131, 31130])).
% 8.90/6.83 tff(31133,plain,
% 8.90/6.83 ((~(v198(constB182) <=> (~((~v199(constB182)) | (~v200(constB182)))))) | (~v198(constB182)) | (~((~v199(constB182)) | (~v200(constB182))))),
% 8.90/6.83 inference(tautology,[status(thm)],[])).
% 8.90/6.83 tff(31134,plain,
% 8.90/6.83 (~v198(constB182)),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[31133, 31132, 31111])).
% 8.90/6.83 tff(31135,plain,
% 8.90/6.83 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB182) <=> (~((~v157(constB182)) | (~v195(constB182)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB182) <=> (~((~v157(constB182)) | (~v195(constB182))))))),
% 8.90/6.83 inference(rewrite,[status(thm)],[])).
% 8.90/6.83 tff(31136,plain,
% 8.90/6.83 ((v194(constB182) <=> (~((~v195(constB182)) | (~v157(constB182))))) <=> (v194(constB182) <=> (~((~v157(constB182)) | (~v195(constB182)))))),
% 8.90/6.83 inference(rewrite,[status(thm)],[])).
% 8.90/6.83 tff(31137,plain,
% 8.90/6.83 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB182) <=> (~((~v195(constB182)) | (~v157(constB182)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB182) <=> (~((~v157(constB182)) | (~v195(constB182))))))),
% 8.90/6.83 inference(monotonicity,[status(thm)],[31136])).
% 8.90/6.83 tff(31138,plain,
% 8.90/6.83 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB182) <=> (~((~v195(constB182)) | (~v157(constB182)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB182) <=> (~((~v157(constB182)) | (~v195(constB182))))))),
% 8.90/6.83 inference(transitivity,[status(thm)],[31137, 31135])).
% 8.90/6.83 tff(31139,plain,
% 8.90/6.83 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB182) <=> (~((~v195(constB182)) | (~v157(constB182)))))),
% 8.90/6.83 inference(quant_inst,[status(thm)],[])).
% 8.90/6.83 tff(31140,plain,
% 8.90/6.83 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB182) <=> (~((~v157(constB182)) | (~v195(constB182)))))),
% 8.90/6.83 inference(modus_ponens,[status(thm)],[31139, 31138])).
% 8.90/6.83 tff(31141,plain,
% 8.90/6.83 (v194(constB182) <=> (~((~v157(constB182)) | (~v195(constB182))))),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[31140, 161])).
% 8.90/6.83 tff(31142,plain,
% 8.90/6.83 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB182) <=> v193(constB182))),
% 8.90/6.83 inference(quant_inst,[status(thm)],[])).
% 8.90/6.83 tff(31143,plain,
% 8.90/6.83 (v157(constB182) <=> v193(constB182)),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[31142, 13])).
% 8.90/6.83 tff(31144,plain,
% 8.90/6.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB181, constB182)) | (v193(constB182) <=> v191(constB181)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB181, constB182)) | (v193(constB182) <=> v191(constB181)))),
% 8.90/6.83 inference(rewrite,[status(thm)],[])).
% 8.90/6.83 tff(31145,plain,
% 8.90/6.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB181, constB182)) | (v193(constB182) <=> v191(constB181)))),
% 8.90/6.83 inference(quant_inst,[status(thm)],[])).
% 8.90/6.83 tff(31146,plain,
% 8.90/6.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB181, constB182)) | (v193(constB182) <=> v191(constB181))),
% 8.90/6.83 inference(modus_ponens,[status(thm)],[31145, 31144])).
% 8.90/6.83 tff(31147,plain,
% 8.90/6.83 (v193(constB182) <=> v191(constB181)),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[31146, 15423, 70])).
% 8.90/6.83 tff(31148,plain,
% 8.90/6.83 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB181) <=> (v194(constB181) | v198(constB181)))),
% 8.90/6.83 inference(quant_inst,[status(thm)],[])).
% 8.90/6.83 tff(31149,plain,
% 8.90/6.83 (v191(constB181) <=> (v194(constB181) | v198(constB181))),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[31148, 84])).
% 8.90/6.83 tff(31150,plain,
% 8.90/6.83 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB181) <=> (~((~v157(constB181)) | (~v195(constB181)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB181) <=> (~((~v157(constB181)) | (~v195(constB181))))))),
% 8.90/6.83 inference(rewrite,[status(thm)],[])).
% 8.90/6.83 tff(31151,plain,
% 8.90/6.83 ((v194(constB181) <=> (~((~v195(constB181)) | (~v157(constB181))))) <=> (v194(constB181) <=> (~((~v157(constB181)) | (~v195(constB181)))))),
% 8.90/6.83 inference(rewrite,[status(thm)],[])).
% 8.90/6.83 tff(31152,plain,
% 8.90/6.83 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB181) <=> (~((~v195(constB181)) | (~v157(constB181)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB181) <=> (~((~v157(constB181)) | (~v195(constB181))))))),
% 8.90/6.83 inference(monotonicity,[status(thm)],[31151])).
% 8.90/6.83 tff(31153,plain,
% 8.90/6.83 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB181) <=> (~((~v195(constB181)) | (~v157(constB181)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB181) <=> (~((~v157(constB181)) | (~v195(constB181))))))),
% 8.90/6.83 inference(transitivity,[status(thm)],[31152, 31150])).
% 8.90/6.83 tff(31154,plain,
% 8.90/6.83 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB181) <=> (~((~v195(constB181)) | (~v157(constB181)))))),
% 8.90/6.83 inference(quant_inst,[status(thm)],[])).
% 8.90/6.83 tff(31155,plain,
% 8.90/6.83 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB181) <=> (~((~v157(constB181)) | (~v195(constB181)))))),
% 8.90/6.83 inference(modus_ponens,[status(thm)],[31154, 31153])).
% 8.90/6.83 tff(31156,plain,
% 8.90/6.83 (v194(constB181) <=> (~((~v157(constB181)) | (~v195(constB181))))),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[31155, 161])).
% 8.90/6.83 tff(31157,plain,
% 8.90/6.83 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB181)) <=> v196(constB181))),
% 8.90/6.83 inference(quant_inst,[status(thm)],[])).
% 8.90/6.83 tff(31158,plain,
% 8.90/6.83 ((~v195(constB181)) <=> v196(constB181)),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[31157, 193])).
% 8.90/6.83 tff(31159,plain,
% 8.90/6.83 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB181) <=> (v197(constB181) | v26(constB181)))),
% 8.90/6.83 inference(quant_inst,[status(thm)],[])).
% 8.90/6.83 tff(31160,plain,
% 8.90/6.83 (v196(constB181) <=> (v197(constB181) | v26(constB181))),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[31159, 202])).
% 8.90/6.83 tff(31161,plain,
% 8.90/6.83 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB181) <=> (~((~v39(constB181)) | (~v9(constB181)))))),
% 8.90/6.83 inference(quant_inst,[status(thm)],[])).
% 8.90/6.83 tff(31162,plain,
% 8.90/6.83 (v197(constB181) <=> (~((~v39(constB181)) | (~v9(constB181))))),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[31161, 120])).
% 8.90/6.83 tff(31163,plain,
% 8.90/6.83 (((~![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)))),
% 8.90/6.83 inference(rewrite,[status(thm)],[])).
% 8.90/6.83 tff(31164,plain,
% 8.90/6.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB181, constB182)) | (v13(constB182) <=> v9(constB181)))),
% 8.90/6.83 inference(quant_inst,[status(thm)],[])).
% 8.90/6.83 tff(31165,plain,
% 8.90/6.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB181, constB182)) | (v13(constB182) <=> v9(constB181))),
% 8.90/6.83 inference(modus_ponens,[status(thm)],[31164, 31163])).
% 8.90/6.83 tff(31166,plain,
% 8.90/6.83 (v13(constB182) <=> v9(constB181)),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[31165, 15423, 216])).
% 8.90/6.83 tff(31167,plain,
% 8.90/6.83 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB182) <=> v13(constB182))),
% 8.90/6.83 inference(quant_inst,[status(thm)],[])).
% 8.90/6.83 tff(31168,plain,
% 8.90/6.83 (v6(constB182) <=> v13(constB182)),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[31167, 230])).
% 8.90/6.83 tff(31169,plain,
% 8.90/6.83 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB182)) <=> v6(constB182))),
% 8.90/6.83 inference(quant_inst,[status(thm)],[])).
% 8.90/6.83 tff(31170,plain,
% 8.90/6.83 ((~v21(constB182)) <=> v6(constB182)),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[31169, 239])).
% 8.90/6.83 tff(31171,plain,
% 8.90/6.83 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB182) <=> (v20(constB182) | v21(constB182)))),
% 8.90/6.83 inference(quant_inst,[status(thm)],[])).
% 8.90/6.83 tff(31172,plain,
% 8.90/6.83 (v19(constB182) <=> (v20(constB182) | v21(constB182))),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[31171, 248])).
% 8.90/6.83 tff(31173,plain,
% 8.90/6.83 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB182) <=> (~((~v19(constB182)) | (~v22(constB182)))))),
% 8.90/6.83 inference(quant_inst,[status(thm)],[])).
% 8.90/6.83 tff(31174,plain,
% 8.90/6.83 (v18(constB182) <=> (~((~v19(constB182)) | (~v22(constB182))))),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[31173, 260])).
% 8.90/6.83 tff(31175,plain,
% 8.90/6.83 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB182)) <=> v18(constB182))),
% 8.90/6.83 inference(quant_inst,[status(thm)],[])).
% 8.90/6.83 tff(31176,plain,
% 8.90/6.83 ((~v4(constB182)) <=> v18(constB182)),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[31175, 269])).
% 8.90/6.83 tff(31177,plain,
% 8.90/6.83 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB182)),
% 8.90/6.83 inference(quant_inst,[status(thm)],[])).
% 8.90/6.83 tff(31178,plain,
% 8.90/6.83 (v4(constB182)),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[31177, 278])).
% 8.90/6.83 tff(31179,plain,
% 8.90/6.83 ((~((~v4(constB182)) <=> v18(constB182))) | (~v4(constB182)) | (~v18(constB182))),
% 8.90/6.83 inference(tautology,[status(thm)],[])).
% 8.90/6.83 tff(31180,plain,
% 8.90/6.83 (~v18(constB182)),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[31179, 31178, 31176])).
% 8.90/6.83 tff(31181,plain,
% 8.90/6.83 ((~(v18(constB182) <=> (~((~v19(constB182)) | (~v22(constB182)))))) | v18(constB182) | ((~v19(constB182)) | (~v22(constB182)))),
% 8.90/6.83 inference(tautology,[status(thm)],[])).
% 8.90/6.83 tff(31182,plain,
% 8.90/6.83 ((~v19(constB182)) | (~v22(constB182))),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[31181, 31180, 31174])).
% 8.90/6.83 tff(31183,plain,
% 8.90/6.83 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB182) <=> (v1(constB182) | v6(constB182)))),
% 8.90/6.83 inference(quant_inst,[status(thm)],[])).
% 8.90/6.83 tff(31184,plain,
% 8.90/6.83 (v22(constB182) <=> (v1(constB182) | v6(constB182))),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[31183, 291])).
% 8.90/6.83 tff(31185,plain,
% 8.90/6.83 ((v1(constB182) | v6(constB182)) | (~v1(constB182))),
% 8.90/6.83 inference(tautology,[status(thm)],[])).
% 8.90/6.83 tff(31186,plain,
% 8.90/6.83 (v1(constB182) | v6(constB182)),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[31185, 22897])).
% 8.90/6.83 tff(31187,plain,
% 8.90/6.83 ((~(v22(constB182) <=> (v1(constB182) | v6(constB182)))) | v22(constB182) | (~(v1(constB182) | v6(constB182)))),
% 8.90/6.83 inference(tautology,[status(thm)],[])).
% 8.90/6.83 tff(31188,plain,
% 8.90/6.83 ((~(v22(constB182) <=> (v1(constB182) | v6(constB182)))) | v22(constB182)),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[31187, 31186])).
% 8.90/6.83 tff(31189,plain,
% 8.90/6.83 (v22(constB182)),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[31188, 31184])).
% 8.90/6.83 tff(31190,plain,
% 8.90/6.83 ((~((~v19(constB182)) | (~v22(constB182)))) | (~v19(constB182)) | (~v22(constB182))),
% 8.90/6.83 inference(tautology,[status(thm)],[])).
% 8.90/6.83 tff(31191,plain,
% 8.90/6.83 ((~((~v19(constB182)) | (~v22(constB182)))) | (~v19(constB182))),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[31190, 31189])).
% 8.90/6.83 tff(31192,plain,
% 8.90/6.83 (~v19(constB182)),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[31191, 31182])).
% 8.90/6.83 tff(31193,plain,
% 8.90/6.83 ((~(v19(constB182) <=> (v20(constB182) | v21(constB182)))) | v19(constB182) | (~(v20(constB182) | v21(constB182)))),
% 8.90/6.83 inference(tautology,[status(thm)],[])).
% 8.90/6.83 tff(31194,plain,
% 8.90/6.83 (~(v20(constB182) | v21(constB182))),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[31193, 31192, 31172])).
% 8.90/6.83 tff(31195,plain,
% 8.90/6.83 ((v20(constB182) | v21(constB182)) | (~v21(constB182))),
% 8.90/6.83 inference(tautology,[status(thm)],[])).
% 8.90/6.83 tff(31196,plain,
% 8.90/6.83 (~v21(constB182)),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[31195, 31194])).
% 8.90/6.83 tff(31197,plain,
% 8.90/6.83 ((~((~v21(constB182)) <=> v6(constB182))) | v21(constB182) | v6(constB182)),
% 8.90/6.83 inference(tautology,[status(thm)],[])).
% 8.90/6.83 tff(31198,plain,
% 8.90/6.83 (v6(constB182)),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[31197, 31196, 31170])).
% 8.90/6.83 tff(31199,plain,
% 8.90/6.83 ((~(v6(constB182) <=> v13(constB182))) | (~v6(constB182)) | v13(constB182)),
% 8.90/6.83 inference(tautology,[status(thm)],[])).
% 8.90/6.83 tff(31200,plain,
% 8.90/6.83 (v13(constB182)),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[31199, 31198, 31168])).
% 8.90/6.83 tff(31201,plain,
% 8.90/6.83 ((~(v13(constB182) <=> v9(constB181))) | (~v13(constB182)) | v9(constB181)),
% 8.90/6.83 inference(tautology,[status(thm)],[])).
% 8.90/6.83 tff(31202,plain,
% 8.90/6.83 (v9(constB181)),
% 8.90/6.83 inference(unit_resolution,[status(thm)],[31201, 31200, 31166])).
% 8.90/6.83 tff(31203,plain,
% 8.90/6.83 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB181)) <=> v1(constB181))),
% 8.90/6.83 inference(quant_inst,[status(thm)],[])).
% 8.90/6.83 tff(31204,plain,
% 8.90/6.83 ((~v39(constB181)) <=> v1(constB181)),
% 8.90/6.84 inference(unit_resolution,[status(thm)],[31203, 129])).
% 8.90/6.84 tff(31205,plain,
% 8.90/6.84 ((~((~v39(constB181)) <=> v1(constB181))) | v39(constB181) | v1(constB181)),
% 8.90/6.84 inference(tautology,[status(thm)],[])).
% 8.90/6.84 tff(31206,plain,
% 8.90/6.84 ((~((~v39(constB181)) <=> v1(constB181))) | v39(constB181)),
% 8.90/6.84 inference(unit_resolution,[status(thm)],[31205, 15467])).
% 8.90/6.84 tff(31207,plain,
% 8.90/6.84 (v39(constB181)),
% 8.90/6.84 inference(unit_resolution,[status(thm)],[31206, 31204])).
% 8.90/6.84 tff(31208,plain,
% 8.90/6.84 ((~((~v39(constB181)) | (~v9(constB181)))) | (~v39(constB181)) | (~v9(constB181))),
% 8.90/6.84 inference(tautology,[status(thm)],[])).
% 8.90/6.84 tff(31209,plain,
% 8.90/6.84 ((~((~v39(constB181)) | (~v9(constB181)))) | (~v9(constB181))),
% 8.90/6.84 inference(unit_resolution,[status(thm)],[31208, 31207])).
% 8.90/6.84 tff(31210,plain,
% 8.90/6.84 (~((~v39(constB181)) | (~v9(constB181)))),
% 8.90/6.84 inference(unit_resolution,[status(thm)],[31209, 31202])).
% 8.90/6.84 tff(31211,plain,
% 8.90/6.84 ((~(v197(constB181) <=> (~((~v39(constB181)) | (~v9(constB181)))))) | v197(constB181) | ((~v39(constB181)) | (~v9(constB181)))),
% 8.90/6.84 inference(tautology,[status(thm)],[])).
% 8.90/6.84 tff(31212,plain,
% 8.90/6.84 (v197(constB181)),
% 8.90/6.84 inference(unit_resolution,[status(thm)],[31211, 31210, 31162])).
% 8.90/6.84 tff(31213,plain,
% 8.90/6.84 ((v197(constB181) | v26(constB181)) | (~v197(constB181))),
% 8.90/6.84 inference(tautology,[status(thm)],[])).
% 8.90/6.84 tff(31214,plain,
% 8.90/6.84 (v197(constB181) | v26(constB181)),
% 8.90/6.84 inference(unit_resolution,[status(thm)],[31213, 31212])).
% 8.90/6.84 tff(31215,plain,
% 8.90/6.84 ((~(v196(constB181) <=> (v197(constB181) | v26(constB181)))) | v196(constB181) | (~(v197(constB181) | v26(constB181)))),
% 8.90/6.84 inference(tautology,[status(thm)],[])).
% 8.90/6.84 tff(31216,plain,
% 8.90/6.84 (v196(constB181)),
% 8.90/6.84 inference(unit_resolution,[status(thm)],[31215, 31214, 31160])).
% 8.90/6.84 tff(31217,plain,
% 8.90/6.84 ((~((~v195(constB181)) <=> v196(constB181))) | (~v195(constB181)) | (~v196(constB181))),
% 8.90/6.84 inference(tautology,[status(thm)],[])).
% 8.90/6.84 tff(31218,plain,
% 8.90/6.84 (~v195(constB181)),
% 8.90/6.84 inference(unit_resolution,[status(thm)],[31217, 31216, 31158])).
% 8.90/6.84 tff(31219,plain,
% 8.90/6.84 (((~v157(constB181)) | (~v195(constB181))) | v195(constB181)),
% 8.90/6.84 inference(tautology,[status(thm)],[])).
% 8.90/6.84 tff(31220,plain,
% 8.90/6.84 ((~v157(constB181)) | (~v195(constB181))),
% 8.90/6.84 inference(unit_resolution,[status(thm)],[31219, 31218])).
% 8.90/6.84 tff(31221,plain,
% 8.90/6.84 ((~(v194(constB181) <=> (~((~v157(constB181)) | (~v195(constB181)))))) | (~v194(constB181)) | (~((~v157(constB181)) | (~v195(constB181))))),
% 8.90/6.84 inference(tautology,[status(thm)],[])).
% 8.90/6.84 tff(31222,plain,
% 8.90/6.84 (~v194(constB181)),
% 8.90/6.84 inference(unit_resolution,[status(thm)],[31221, 31220, 31156])).
% 8.90/6.84 tff(31223,plain,
% 8.90/6.84 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB181) <=> (~((~v199(constB181)) | (~v200(constB181)))))),
% 8.90/6.84 inference(quant_inst,[status(thm)],[])).
% 8.90/6.84 tff(31224,plain,
% 8.90/6.84 (v198(constB181) <=> (~((~v199(constB181)) | (~v200(constB181))))),
% 8.90/6.84 inference(unit_resolution,[status(thm)],[31223, 96])).
% 8.90/6.84 tff(31225,plain,
% 8.90/6.84 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB181) <=> (~((~v197(constB181)) | (~v201(constB181)))))),
% 8.90/6.84 inference(quant_inst,[status(thm)],[])).
% 8.90/6.84 tff(31226,plain,
% 8.90/6.84 (v200(constB181) <=> (~((~v197(constB181)) | (~v201(constB181))))),
% 8.90/6.84 inference(unit_resolution,[status(thm)],[31225, 108])).
% 8.90/6.84 tff(31227,plain,
% 8.90/6.84 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB181) <=> (~((~v159(constB181)) | (~v161(constB181)))))),
% 8.90/6.84 inference(quant_inst,[status(thm)],[])).
% 8.90/6.84 tff(31228,plain,
% 8.90/6.84 (v201(constB181) <=> (~((~v159(constB181)) | (~v161(constB181))))),
% 8.90/6.84 inference(unit_resolution,[status(thm)],[31227, 348])).
% 8.90/6.84 tff(31229,plain,
% 8.90/6.84 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB181) <=> v163(constB181))),
% 8.90/6.84 inference(quant_inst,[status(thm)],[])).
% 8.90/6.84 tff(31230,plain,
% 8.90/6.84 (v161(constB181) <=> v163(constB181)),
% 8.90/6.84 inference(unit_resolution,[status(thm)],[31229, 357])).
% 8.90/6.84 tff(31231,plain,
% 8.90/6.84 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB181) <=> (v145(constB181) | v167(constB181)))),
% 8.90/6.84 inference(quant_inst,[status(thm)],[])).
% 8.90/6.84 tff(31232,plain,
% 8.90/6.84 (v166(constB181) <=> (v145(constB181) | v167(constB181))),
% 8.90/6.84 inference(unit_resolution,[status(thm)],[31231, 369])).
% 8.90/6.84 tff(31233,plain,
% 8.90/6.84 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB181) <=> (v142(constB181) | v168(constB181)))),
% 8.90/6.84 inference(quant_inst,[status(thm)],[])).
% 8.90/6.84 tff(31234,plain,
% 8.90/6.84 (v167(constB181) <=> (v142(constB181) | v168(constB181))),
% 8.90/6.84 inference(unit_resolution,[status(thm)],[31233, 381])).
% 8.90/6.84 tff(31235,plain,
% 8.90/6.84 ((~![VarCurr: $i] : (v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr)))) | (v168(constB181) <=> (v141(constB181) | v169(constB181)))),
% 8.90/6.84 inference(quant_inst,[status(thm)],[])).
% 8.90/6.84 tff(31236,plain,
% 8.90/6.84 (v168(constB181) <=> (v141(constB181) | v169(constB181))),
% 8.90/6.84 inference(unit_resolution,[status(thm)],[31235, 393])).
% 8.90/6.84 tff(31237,plain,
% 8.90/6.84 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB181) <=> (~((~v88(constB181, bitIndex1)) | v88(constB181, bitIndex2) | (~v88(constB181, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB181) <=> (~((~v88(constB181, bitIndex1)) | v88(constB181, bitIndex2) | (~v88(constB181, bitIndex0))))))),
% 8.90/6.84 inference(rewrite,[status(thm)],[])).
% 8.90/6.84 tff(31238,plain,
% 8.90/6.84 ((v141(constB181) <=> (~(v88(constB181, bitIndex2) | (~v88(constB181, bitIndex1)) | (~v88(constB181, bitIndex0))))) <=> (v141(constB181) <=> (~((~v88(constB181, bitIndex1)) | v88(constB181, bitIndex2) | (~v88(constB181, bitIndex0)))))),
% 8.90/6.84 inference(rewrite,[status(thm)],[])).
% 8.90/6.84 tff(31239,plain,
% 8.90/6.84 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB181) <=> (~(v88(constB181, bitIndex2) | (~v88(constB181, bitIndex1)) | (~v88(constB181, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB181) <=> (~((~v88(constB181, bitIndex1)) | v88(constB181, bitIndex2) | (~v88(constB181, bitIndex0))))))),
% 8.90/6.84 inference(monotonicity,[status(thm)],[31238])).
% 8.90/6.84 tff(31240,plain,
% 8.90/6.84 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB181) <=> (~(v88(constB181, bitIndex2) | (~v88(constB181, bitIndex1)) | (~v88(constB181, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB181) <=> (~((~v88(constB181, bitIndex1)) | v88(constB181, bitIndex2) | (~v88(constB181, bitIndex0))))))),
% 8.90/6.84 inference(transitivity,[status(thm)],[31239, 31237])).
% 8.90/6.84 tff(31241,plain,
% 8.90/6.84 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB181) <=> (~(v88(constB181, bitIndex2) | (~v88(constB181, bitIndex1)) | (~v88(constB181, bitIndex0)))))),
% 8.90/6.84 inference(quant_inst,[status(thm)],[])).
% 8.90/6.84 tff(31242,plain,
% 8.90/6.84 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB181) <=> (~((~v88(constB181, bitIndex1)) | v88(constB181, bitIndex2) | (~v88(constB181, bitIndex0)))))),
% 8.90/6.84 inference(modus_ponens,[status(thm)],[31241, 31240])).
% 8.90/6.84 tff(31243,plain,
% 8.90/6.84 (v141(constB181) <=> (~((~v88(constB181, bitIndex1)) | v88(constB181, bitIndex2) | (~v88(constB181, bitIndex0))))),
% 8.90/6.84 inference(unit_resolution,[status(thm)],[31242, 408])).
% 8.90/6.84 tff(31244,plain,
% 8.90/6.84 ((~![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))) | (~(((~v88(constB181, bitIndex1)) <=> v90(constB181, bitIndex1)) | ((~v88(constB181, bitIndex2)) <=> v90(constB181, bitIndex2)) | ((~v88(constB181, bitIndex0)) <=> v90(constB181, bitIndex0))))),
% 8.90/6.84 inference(quant_inst,[status(thm)],[])).
% 8.90/6.84 tff(31245,plain,
% 8.90/6.84 (~(((~v88(constB181, bitIndex1)) <=> v90(constB181, bitIndex1)) | ((~v88(constB181, bitIndex2)) <=> v90(constB181, bitIndex2)) | ((~v88(constB181, bitIndex0)) <=> v90(constB181, bitIndex0)))),
% 8.90/6.84 inference(unit_resolution,[status(thm)],[31244, 428])).
% 8.90/6.84 tff(31246,plain,
% 8.90/6.84 ((((~v88(constB181, bitIndex1)) <=> v90(constB181, bitIndex1)) | ((~v88(constB181, bitIndex2)) <=> v90(constB181, bitIndex2)) | ((~v88(constB181, bitIndex0)) <=> v90(constB181, bitIndex0))) | (~((~v88(constB181, bitIndex2)) <=> v90(constB181, bitIndex2)))),
% 8.90/6.84 inference(tautology,[status(thm)],[])).
% 8.90/6.84 tff(31247,plain,
% 8.90/6.84 (~((~v88(constB181, bitIndex2)) <=> v90(constB181, bitIndex2))),
% 8.90/6.84 inference(unit_resolution,[status(thm)],[31246, 31245])).
% 8.90/6.84 tff(31248,plain,
% 8.90/6.84 (((~v88(constB181, bitIndex2)) <=> v90(constB181, bitIndex2)) | (~v88(constB181, bitIndex2)) | v90(constB181, bitIndex2)),
% 8.90/6.84 inference(tautology,[status(thm)],[])).
% 8.90/6.84 tff(31249,plain,
% 8.90/6.84 (~v88(constB181, bitIndex2)),
% 8.90/6.84 inference(unit_resolution,[status(thm)],[31248, 22816, 31247])).
% 8.90/6.84 tff(31250,plain,
% 8.90/6.84 ((((~v88(constB181, bitIndex1)) <=> v90(constB181, bitIndex1)) | ((~v88(constB181, bitIndex2)) <=> v90(constB181, bitIndex2)) | ((~v88(constB181, bitIndex0)) <=> v90(constB181, bitIndex0))) | (~((~v88(constB181, bitIndex0)) <=> v90(constB181, bitIndex0)))),
% 8.90/6.84 inference(tautology,[status(thm)],[])).
% 8.90/6.84 tff(31251,plain,
% 8.90/6.84 (~((~v88(constB181, bitIndex0)) <=> v90(constB181, bitIndex0))),
% 8.90/6.84 inference(unit_resolution,[status(thm)],[31250, 31245])).
% 8.90/6.84 tff(31252,plain,
% 8.90/6.84 (((~v88(constB181, bitIndex0)) <=> v90(constB181, bitIndex0)) | v88(constB181, bitIndex0) | (~v90(constB181, bitIndex0))),
% 8.90/6.84 inference(tautology,[status(thm)],[])).
% 8.90/6.84 tff(31253,plain,
% 8.90/6.84 (v88(constB181, bitIndex0)),
% 8.90/6.84 inference(unit_resolution,[status(thm)],[31252, 22834, 31251])).
% 8.90/6.84 tff(31254,plain,
% 8.90/6.84 ((((~v88(constB181, bitIndex1)) <=> v90(constB181, bitIndex1)) | ((~v88(constB181, bitIndex2)) <=> v90(constB181, bitIndex2)) | ((~v88(constB181, bitIndex0)) <=> v90(constB181, bitIndex0))) | (~((~v88(constB181, bitIndex1)) <=> v90(constB181, bitIndex1)))),
% 8.90/6.84 inference(tautology,[status(thm)],[])).
% 8.90/6.84 tff(31255,plain,
% 8.90/6.84 (~((~v88(constB181, bitIndex1)) <=> v90(constB181, bitIndex1))),
% 8.90/6.84 inference(unit_resolution,[status(thm)],[31254, 31245])).
% 8.90/6.84 tff(31256,plain,
% 8.90/6.84 (((~v88(constB181, bitIndex1)) <=> v90(constB181, bitIndex1)) | v88(constB181, bitIndex1) | (~v90(constB181, bitIndex1))),
% 8.90/6.84 inference(tautology,[status(thm)],[])).
% 8.90/6.84 tff(31257,plain,
% 8.90/6.84 (v88(constB181, bitIndex1)),
% 8.90/6.84 inference(unit_resolution,[status(thm)],[31256, 22852, 31255])).
% 8.90/6.84 tff(31258,plain,
% 8.90/6.84 ((~((~v88(constB181, bitIndex1)) | v88(constB181, bitIndex2) | (~v88(constB181, bitIndex0)))) | (~v88(constB181, bitIndex1)) | v88(constB181, bitIndex2) | (~v88(constB181, bitIndex0))),
% 8.90/6.84 inference(tautology,[status(thm)],[])).
% 8.90/6.84 tff(31259,plain,
% 8.90/6.84 (~((~v88(constB181, bitIndex1)) | v88(constB181, bitIndex2) | (~v88(constB181, bitIndex0)))),
% 8.90/6.84 inference(unit_resolution,[status(thm)],[31258, 31257, 31253, 31249])).
% 8.90/6.84 tff(31260,plain,
% 8.90/6.84 ((~(v141(constB181) <=> (~((~v88(constB181, bitIndex1)) | v88(constB181, bitIndex2) | (~v88(constB181, bitIndex0)))))) | v141(constB181) | ((~v88(constB181, bitIndex1)) | v88(constB181, bitIndex2) | (~v88(constB181, bitIndex0)))),
% 8.90/6.84 inference(tautology,[status(thm)],[])).
% 8.90/6.84 tff(31261,plain,
% 8.90/6.84 (v141(constB181)),
% 8.90/6.84 inference(unit_resolution,[status(thm)],[31260, 31259, 31243])).
% 8.90/6.84 tff(31262,plain,
% 8.90/6.84 ((v141(constB181) | v169(constB181)) | (~v141(constB181))),
% 8.90/6.84 inference(tautology,[status(thm)],[])).
% 8.90/6.84 tff(31263,plain,
% 8.90/6.84 (v141(constB181) | v169(constB181)),
% 8.90/6.84 inference(unit_resolution,[status(thm)],[31262, 31261])).
% 8.90/6.84 tff(31264,plain,
% 8.90/6.84 ((~(v168(constB181) <=> (v141(constB181) | v169(constB181)))) | v168(constB181) | (~(v141(constB181) | v169(constB181)))),
% 8.90/6.84 inference(tautology,[status(thm)],[])).
% 8.90/6.84 tff(31265,plain,
% 8.90/6.84 (v168(constB181)),
% 8.90/6.84 inference(unit_resolution,[status(thm)],[31264, 31263, 31236])).
% 8.90/6.84 tff(31266,plain,
% 8.90/6.84 ((v142(constB181) | v168(constB181)) | (~v168(constB181))),
% 8.90/6.84 inference(tautology,[status(thm)],[])).
% 8.90/6.84 tff(31267,plain,
% 8.90/6.84 (v142(constB181) | v168(constB181)),
% 8.90/6.84 inference(unit_resolution,[status(thm)],[31266, 31265])).
% 8.90/6.84 tff(31268,plain,
% 8.90/6.84 ((~(v167(constB181) <=> (v142(constB181) | v168(constB181)))) | v167(constB181) | (~(v142(constB181) | v168(constB181)))),
% 8.90/6.84 inference(tautology,[status(thm)],[])).
% 8.90/6.84 tff(31269,plain,
% 8.90/6.84 ((~(v167(constB181) <=> (v142(constB181) | v168(constB181)))) | v167(constB181)),
% 8.90/6.84 inference(unit_resolution,[status(thm)],[31268, 31267])).
% 8.90/6.84 tff(31270,plain,
% 8.90/6.84 (v167(constB181)),
% 8.90/6.84 inference(unit_resolution,[status(thm)],[31269, 31234])).
% 8.90/6.84 tff(31271,plain,
% 8.90/6.84 ((v145(constB181) | v167(constB181)) | (~v167(constB181))),
% 8.90/6.84 inference(tautology,[status(thm)],[])).
% 8.90/6.84 tff(31272,plain,
% 8.90/6.84 (v145(constB181) | v167(constB181)),
% 8.90/6.84 inference(unit_resolution,[status(thm)],[31271, 31270])).
% 8.90/6.84 tff(31273,plain,
% 8.90/6.84 ((~(v166(constB181) <=> (v145(constB181) | v167(constB181)))) | v166(constB181) | (~(v145(constB181) | v167(constB181)))),
% 8.90/6.84 inference(tautology,[status(thm)],[])).
% 8.90/6.84 tff(31274,plain,
% 8.90/6.84 (v166(constB181)),
% 8.90/6.84 inference(unit_resolution,[status(thm)],[31273, 31272, 31232])).
% 8.90/6.84 tff(31275,plain,
% 8.90/6.84 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB181)) | (v163(constB181) <=> v170(constB181)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB181)) | (v163(constB181) <=> v170(constB181)))),
% 8.90/6.84 inference(rewrite,[status(thm)],[])).
% 8.90/6.84 tff(31276,plain,
% 8.90/6.84 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB181)) | (v163(constB181) <=> v170(constB181)))),
% 8.90/6.84 inference(quant_inst,[status(thm)],[])).
% 8.90/6.84 tff(31277,plain,
% 8.90/6.84 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB181)) | (v163(constB181) <=> v170(constB181))),
% 8.90/6.84 inference(modus_ponens,[status(thm)],[31276, 31275])).
% 8.90/6.84 tff(31278,plain,
% 8.90/6.84 ((~v166(constB181)) | (v163(constB181) <=> v170(constB181))),
% 8.90/6.84 inference(unit_resolution,[status(thm)],[31277, 9851])).
% 8.90/6.84 tff(31279,plain,
% 8.90/6.84 (v163(constB181) <=> v170(constB181)),
% 8.90/6.84 inference(unit_resolution,[status(thm)],[31278, 31274])).
% 8.90/6.84 tff(31280,plain,
% 8.90/6.84 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB181) <=> (v142(constB181) | v150(constB181)))),
% 8.90/6.84 inference(quant_inst,[status(thm)],[])).
% 8.90/6.84 tff(31281,plain,
% 8.90/6.84 (v171(constB181) <=> (v142(constB181) | v150(constB181))),
% 8.90/6.84 inference(unit_resolution,[status(thm)],[31280, 9866])).
% 8.90/6.84 tff(31282,plain,
% 8.90/6.84 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v141(VarCurr) | v151(VarCurr)))) | (v150(constB181) <=> (v141(constB181) | v151(constB181)))),
% 8.90/6.84 inference(quant_inst,[status(thm)],[])).
% 8.90/6.84 tff(31283,plain,
% 8.90/6.84 (v150(constB181) <=> (v141(constB181) | v151(constB181))),
% 8.90/6.84 inference(unit_resolution,[status(thm)],[31282, 9878])).
% 8.90/6.84 tff(31284,plain,
% 8.90/6.84 ((v141(constB181) | v151(constB181)) | (~v141(constB181))),
% 8.90/6.84 inference(tautology,[status(thm)],[])).
% 8.90/6.84 tff(31285,plain,
% 8.90/6.84 (v141(constB181) | v151(constB181)),
% 8.90/6.84 inference(unit_resolution,[status(thm)],[31284, 31261])).
% 8.90/6.84 tff(31286,plain,
% 8.90/6.84 ((~(v150(constB181) <=> (v141(constB181) | v151(constB181)))) | v150(constB181) | (~(v141(constB181) | v151(constB181)))),
% 8.90/6.84 inference(tautology,[status(thm)],[])).
% 8.90/6.84 tff(31287,plain,
% 8.90/6.84 (v150(constB181)),
% 8.90/6.84 inference(unit_resolution,[status(thm)],[31286, 31285, 31283])).
% 8.90/6.84 tff(31288,plain,
% 8.90/6.84 ((v142(constB181) | v150(constB181)) | (~v150(constB181))),
% 8.90/6.84 inference(tautology,[status(thm)],[])).
% 8.90/6.84 tff(31289,plain,
% 8.90/6.84 (v142(constB181) | v150(constB181)),
% 8.90/6.84 inference(unit_resolution,[status(thm)],[31288, 31287])).
% 8.90/6.84 tff(31290,plain,
% 8.90/6.84 ((~(v171(constB181) <=> (v142(constB181) | v150(constB181)))) | v171(constB181) | (~(v142(constB181) | v150(constB181)))),
% 8.90/6.84 inference(tautology,[status(thm)],[])).
% 8.90/6.84 tff(31291,plain,
% 8.90/6.84 ((~(v171(constB181) <=> (v142(constB181) | v150(constB181)))) | v171(constB181)),
% 8.90/6.84 inference(unit_resolution,[status(thm)],[31290, 31289])).
% 8.90/6.84 tff(31292,plain,
% 8.90/6.84 (v171(constB181)),
% 8.90/6.84 inference(unit_resolution,[status(thm)],[31291, 31281])).
% 8.90/6.84 tff(31293,plain,
% 8.90/6.84 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB181)) | (~v171(constB181)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB181)) | (~v171(constB181)))),
% 8.90/6.84 inference(rewrite,[status(thm)],[])).
% 8.90/6.84 tff(31294,plain,
% 8.90/6.84 (((~v171(constB181)) | (~v170(constB181))) <=> ((~v170(constB181)) | (~v171(constB181)))),
% 8.90/6.84 inference(rewrite,[status(thm)],[])).
% 8.90/6.84 tff(31295,plain,
% 8.90/6.84 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB181)) | (~v170(constB181)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB181)) | (~v171(constB181))))),
% 8.90/6.84 inference(monotonicity,[status(thm)],[31294])).
% 8.90/6.84 tff(31296,plain,
% 8.90/6.84 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB181)) | (~v170(constB181)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB181)) | (~v171(constB181)))),
% 8.90/6.84 inference(transitivity,[status(thm)],[31295, 31293])).
% 8.90/6.84 tff(31297,plain,
% 8.90/6.84 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB181)) | (~v170(constB181)))),
% 8.90/6.84 inference(quant_inst,[status(thm)],[])).
% 8.90/6.84 tff(31298,plain,
% 8.90/6.84 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB181)) | (~v171(constB181))),
% 8.90/6.84 inference(modus_ponens,[status(thm)],[31297, 31296])).
% 8.90/6.84 tff(31299,plain,
% 8.90/6.84 (~v170(constB181)),
% 8.90/6.84 inference(unit_resolution,[status(thm)],[31298, 9899, 31292])).
% 8.90/6.84 tff(31300,plain,
% 8.90/6.84 ((~(v163(constB181) <=> v170(constB181))) | (~v163(constB181)) | v170(constB181)),
% 8.90/6.84 inference(tautology,[status(thm)],[])).
% 8.90/6.84 tff(31301,plain,
% 8.90/6.84 (~v163(constB181)),
% 8.90/6.84 inference(unit_resolution,[status(thm)],[31300, 31299, 31279])).
% 8.90/6.84 tff(31302,plain,
% 8.90/6.84 ((~(v161(constB181) <=> v163(constB181))) | (~v161(constB181)) | v163(constB181)),
% 8.90/6.84 inference(tautology,[status(thm)],[])).
% 8.90/6.84 tff(31303,plain,
% 8.90/6.84 (~v161(constB181)),
% 8.90/6.84 inference(unit_resolution,[status(thm)],[31302, 31301, 31230])).
% 8.90/6.84 tff(31304,plain,
% 8.90/6.84 (((~v159(constB181)) | (~v161(constB181))) | v161(constB181)),
% 8.90/6.84 inference(tautology,[status(thm)],[])).
% 8.90/6.84 tff(31305,plain,
% 8.90/6.84 ((~v159(constB181)) | (~v161(constB181))),
% 8.90/6.84 inference(unit_resolution,[status(thm)],[31304, 31303])).
% 8.90/6.84 tff(31306,plain,
% 8.90/6.84 ((~(v201(constB181) <=> (~((~v159(constB181)) | (~v161(constB181)))))) | (~v201(constB181)) | (~((~v159(constB181)) | (~v161(constB181))))),
% 8.90/6.84 inference(tautology,[status(thm)],[])).
% 8.90/6.84 tff(31307,plain,
% 8.90/6.84 (~v201(constB181)),
% 8.90/6.84 inference(unit_resolution,[status(thm)],[31306, 31305, 31228])).
% 8.90/6.84 tff(31308,plain,
% 8.90/6.84 (((~v197(constB181)) | (~v201(constB181))) | v201(constB181)),
% 8.90/6.84 inference(tautology,[status(thm)],[])).
% 8.90/6.84 tff(31309,plain,
% 8.90/6.84 ((~v197(constB181)) | (~v201(constB181))),
% 8.90/6.84 inference(unit_resolution,[status(thm)],[31308, 31307])).
% 8.90/6.84 tff(31310,plain,
% 8.90/6.84 ((~(v200(constB181) <=> (~((~v197(constB181)) | (~v201(constB181)))))) | (~v200(constB181)) | (~((~v197(constB181)) | (~v201(constB181))))),
% 8.90/6.84 inference(tautology,[status(thm)],[])).
% 8.90/6.84 tff(31311,plain,
% 8.90/6.84 (~v200(constB181)),
% 8.90/6.84 inference(unit_resolution,[status(thm)],[31310, 31309, 31226])).
% 8.90/6.84 tff(31312,plain,
% 8.90/6.84 (((~v199(constB181)) | (~v200(constB181))) | v200(constB181)),
% 8.90/6.84 inference(tautology,[status(thm)],[])).
% 8.90/6.84 tff(31313,plain,
% 8.90/6.84 ((~v199(constB181)) | (~v200(constB181))),
% 8.90/6.84 inference(unit_resolution,[status(thm)],[31312, 31311])).
% 8.90/6.84 tff(31314,plain,
% 8.90/6.84 ((~(v198(constB181) <=> (~((~v199(constB181)) | (~v200(constB181)))))) | (~v198(constB181)) | (~((~v199(constB181)) | (~v200(constB181))))),
% 8.90/6.84 inference(tautology,[status(thm)],[])).
% 8.90/6.84 tff(31315,plain,
% 8.90/6.84 (~v198(constB181)),
% 8.90/6.84 inference(unit_resolution,[status(thm)],[31314, 31313, 31224])).
% 8.90/6.84 tff(31316,plain,
% 8.90/6.84 ((~(v194(constB181) | v198(constB181))) | v194(constB181) | v198(constB181)),
% 8.90/6.84 inference(tautology,[status(thm)],[])).
% 8.90/6.84 tff(31317,plain,
% 8.90/6.84 (~(v194(constB181) | v198(constB181))),
% 8.90/6.84 inference(unit_resolution,[status(thm)],[31316, 31315, 31222])).
% 8.90/6.84 tff(31318,plain,
% 8.90/6.84 ((~(v191(constB181) <=> (v194(constB181) | v198(constB181)))) | (~v191(constB181)) | (v194(constB181) | v198(constB181))),
% 8.93/6.84 inference(tautology,[status(thm)],[])).
% 8.93/6.84 tff(31319,plain,
% 8.93/6.84 (~v191(constB181)),
% 8.93/6.84 inference(unit_resolution,[status(thm)],[31318, 31317, 31149])).
% 8.93/6.84 tff(31320,plain,
% 8.93/6.84 ((~(v193(constB182) <=> v191(constB181))) | (~v193(constB182)) | v191(constB181)),
% 8.93/6.84 inference(tautology,[status(thm)],[])).
% 8.93/6.84 tff(31321,plain,
% 8.93/6.84 (~v193(constB182)),
% 8.93/6.84 inference(unit_resolution,[status(thm)],[31320, 31319, 31147])).
% 8.93/6.84 tff(31322,plain,
% 8.93/6.84 ((~(v157(constB182) <=> v193(constB182))) | (~v157(constB182)) | v193(constB182)),
% 8.93/6.84 inference(tautology,[status(thm)],[])).
% 8.93/6.84 tff(31323,plain,
% 8.93/6.84 (~v157(constB182)),
% 8.93/6.84 inference(unit_resolution,[status(thm)],[31322, 31321, 31143])).
% 8.93/6.84 tff(31324,plain,
% 8.93/6.84 (((~v157(constB182)) | (~v195(constB182))) | v157(constB182)),
% 8.93/6.84 inference(tautology,[status(thm)],[])).
% 8.93/6.84 tff(31325,plain,
% 8.93/6.84 ((~v157(constB182)) | (~v195(constB182))),
% 8.93/6.84 inference(unit_resolution,[status(thm)],[31324, 31323])).
% 8.93/6.84 tff(31326,plain,
% 8.93/6.84 ((~(v194(constB182) <=> (~((~v157(constB182)) | (~v195(constB182)))))) | (~v194(constB182)) | (~((~v157(constB182)) | (~v195(constB182))))),
% 8.93/6.84 inference(tautology,[status(thm)],[])).
% 8.93/6.84 tff(31327,plain,
% 8.93/6.84 (~v194(constB182)),
% 8.93/6.84 inference(unit_resolution,[status(thm)],[31326, 31325, 31141])).
% 8.93/6.84 tff(31328,plain,
% 8.93/6.84 ((~(v194(constB182) | v198(constB182))) | v194(constB182) | v198(constB182)),
% 8.93/6.84 inference(tautology,[status(thm)],[])).
% 8.93/6.84 tff(31329,plain,
% 8.93/6.84 (~(v194(constB182) | v198(constB182))),
% 8.93/6.84 inference(unit_resolution,[status(thm)],[31328, 31327, 31134])).
% 8.93/6.84 tff(31330,plain,
% 8.93/6.84 ((~(v191(constB182) <=> (v194(constB182) | v198(constB182)))) | (~v191(constB182)) | (v194(constB182) | v198(constB182))),
% 8.93/6.84 inference(tautology,[status(thm)],[])).
% 8.93/6.84 tff(31331,plain,
% 8.93/6.84 (~v191(constB182)),
% 8.93/6.84 inference(unit_resolution,[status(thm)],[31330, 31329, 31109])).
% 8.93/6.84 tff(31332,plain,
% 8.93/6.84 ((~(v193(constB183) <=> v191(constB182))) | (~v193(constB183)) | v191(constB182)),
% 8.93/6.84 inference(tautology,[status(thm)],[])).
% 8.93/6.84 tff(31333,plain,
% 8.93/6.84 (~v193(constB183)),
% 8.93/6.84 inference(unit_resolution,[status(thm)],[31332, 31331, 31107])).
% 8.93/6.84 tff(31334,plain,
% 8.93/6.84 ($false),
% 8.93/6.84 inference(unit_resolution,[status(thm)],[31333, 31103])).
% 8.93/6.84 tff(31335,plain,(~(constB183 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.93/6.84 tff(31336,assumption,(constB33 = VarCurr!0), introduced(assumption)).
% 8.93/6.84 tff(31337,plain,
% 8.93/6.84 (v193(constB33) <=> v193(VarCurr!0)),
% 8.93/6.84 inference(monotonicity,[status(thm)],[31336])).
% 8.93/6.84 tff(31338,plain,
% 8.93/6.84 (v193(VarCurr!0) <=> v193(constB33)),
% 8.93/6.84 inference(symmetry,[status(thm)],[31337])).
% 8.93/6.84 tff(31339,plain,
% 8.93/6.84 (v193(constB33)),
% 8.93/6.84 inference(modus_ponens,[status(thm)],[59, 31338])).
% 8.93/6.84 tff(31340,plain,
% 8.93/6.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB32, constB33)) | (v193(constB33) <=> v191(constB32)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB32, constB33)) | (v193(constB33) <=> v191(constB32)))),
% 8.93/6.84 inference(rewrite,[status(thm)],[])).
% 8.93/6.84 tff(31341,plain,
% 8.93/6.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB32, constB33)) | (v193(constB33) <=> v191(constB32)))),
% 8.93/6.84 inference(quant_inst,[status(thm)],[])).
% 8.93/6.84 tff(31342,plain,
% 8.93/6.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB32, constB33)) | (v193(constB33) <=> v191(constB32))),
% 8.93/6.84 inference(modus_ponens,[status(thm)],[31341, 31340])).
% 8.93/6.84 tff(31343,plain,
% 8.93/6.84 (v193(constB33) <=> v191(constB32)),
% 8.93/6.84 inference(unit_resolution,[status(thm)],[31342, 2116, 70])).
% 8.93/6.84 tff(31344,plain,
% 8.93/6.84 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB32) <=> (v194(constB32) | v198(constB32)))),
% 8.93/6.84 inference(quant_inst,[status(thm)],[])).
% 8.93/6.84 tff(31345,plain,
% 8.93/6.84 (v191(constB32) <=> (v194(constB32) | v198(constB32))),
% 8.93/6.84 inference(unit_resolution,[status(thm)],[31344, 84])).
% 8.93/6.84 tff(31346,plain,
% 8.93/6.84 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB32) <=> (~((~v199(constB32)) | (~v200(constB32)))))),
% 8.93/6.84 inference(quant_inst,[status(thm)],[])).
% 8.93/6.84 tff(31347,plain,
% 8.93/6.84 (v198(constB32) <=> (~((~v199(constB32)) | (~v200(constB32))))),
% 8.93/6.84 inference(unit_resolution,[status(thm)],[31346, 96])).
% 8.93/6.84 tff(31348,plain,
% 8.93/6.84 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB32) <=> (~((~v197(constB32)) | (~v201(constB32)))))),
% 8.93/6.84 inference(quant_inst,[status(thm)],[])).
% 8.93/6.84 tff(31349,plain,
% 8.93/6.84 (v200(constB32) <=> (~((~v197(constB32)) | (~v201(constB32))))),
% 8.93/6.84 inference(unit_resolution,[status(thm)],[31348, 108])).
% 8.93/6.84 tff(31350,plain,
% 8.93/6.84 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB32) <=> (~((~v39(constB32)) | (~v9(constB32)))))),
% 8.93/6.84 inference(quant_inst,[status(thm)],[])).
% 8.93/6.84 tff(31351,plain,
% 8.93/6.84 (v197(constB32) <=> (~((~v39(constB32)) | (~v9(constB32))))),
% 8.93/6.84 inference(unit_resolution,[status(thm)],[31350, 120])).
% 8.93/6.84 tff(31352,plain,
% 8.93/6.84 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB32)) <=> v1(constB32))),
% 8.93/6.84 inference(quant_inst,[status(thm)],[])).
% 8.93/6.84 tff(31353,plain,
% 8.93/6.84 ((~v39(constB32)) <=> v1(constB32)),
% 8.93/6.84 inference(unit_resolution,[status(thm)],[31352, 129])).
% 8.93/6.84 tff(31354,plain,
% 8.93/6.84 ((~((~v39(constB32)) <=> v1(constB32))) | (~v39(constB32)) | (~v1(constB32))),
% 8.93/6.84 inference(tautology,[status(thm)],[])).
% 8.93/6.84 tff(31355,plain,
% 8.93/6.84 ((~((~v39(constB32)) <=> v1(constB32))) | (~v39(constB32))),
% 8.93/6.84 inference(unit_resolution,[status(thm)],[31354, 5863])).
% 8.93/6.84 tff(31356,plain,
% 8.93/6.84 (~v39(constB32)),
% 8.93/6.84 inference(unit_resolution,[status(thm)],[31355, 31353])).
% 8.93/6.84 tff(31357,plain,
% 8.93/6.84 (((~v39(constB32)) | (~v9(constB32))) | v39(constB32)),
% 8.93/6.84 inference(tautology,[status(thm)],[])).
% 8.93/6.84 tff(31358,plain,
% 8.93/6.84 ((~v39(constB32)) | (~v9(constB32))),
% 8.93/6.84 inference(unit_resolution,[status(thm)],[31357, 31356])).
% 8.93/6.84 tff(31359,plain,
% 8.93/6.84 ((~(v197(constB32) <=> (~((~v39(constB32)) | (~v9(constB32)))))) | (~v197(constB32)) | (~((~v39(constB32)) | (~v9(constB32))))),
% 8.93/6.84 inference(tautology,[status(thm)],[])).
% 8.93/6.84 tff(31360,plain,
% 8.93/6.84 ((~(v197(constB32) <=> (~((~v39(constB32)) | (~v9(constB32)))))) | (~v197(constB32))),
% 8.93/6.84 inference(unit_resolution,[status(thm)],[31359, 31358])).
% 8.93/6.84 tff(31361,plain,
% 8.93/6.84 (~v197(constB32)),
% 8.93/6.84 inference(unit_resolution,[status(thm)],[31360, 31351])).
% 8.93/6.84 tff(31362,plain,
% 8.93/6.84 (((~v197(constB32)) | (~v201(constB32))) | v197(constB32)),
% 8.93/6.84 inference(tautology,[status(thm)],[])).
% 8.93/6.84 tff(31363,plain,
% 8.93/6.84 ((~v197(constB32)) | (~v201(constB32))),
% 8.93/6.84 inference(unit_resolution,[status(thm)],[31362, 31361])).
% 8.93/6.84 tff(31364,plain,
% 8.93/6.84 ((~(v200(constB32) <=> (~((~v197(constB32)) | (~v201(constB32)))))) | (~v200(constB32)) | (~((~v197(constB32)) | (~v201(constB32))))),
% 8.93/6.84 inference(tautology,[status(thm)],[])).
% 8.93/6.84 tff(31365,plain,
% 8.93/6.84 ((~(v200(constB32) <=> (~((~v197(constB32)) | (~v201(constB32)))))) | (~v200(constB32))),
% 8.93/6.84 inference(unit_resolution,[status(thm)],[31364, 31363])).
% 8.93/6.84 tff(31366,plain,
% 8.93/6.84 (~v200(constB32)),
% 8.93/6.84 inference(unit_resolution,[status(thm)],[31365, 31349])).
% 8.93/6.84 tff(31367,plain,
% 8.93/6.84 (((~v199(constB32)) | (~v200(constB32))) | v200(constB32)),
% 8.93/6.84 inference(tautology,[status(thm)],[])).
% 8.93/6.84 tff(31368,plain,
% 8.93/6.84 ((~v199(constB32)) | (~v200(constB32))),
% 8.93/6.84 inference(unit_resolution,[status(thm)],[31367, 31366])).
% 8.93/6.84 tff(31369,plain,
% 8.93/6.84 ((~(v198(constB32) <=> (~((~v199(constB32)) | (~v200(constB32)))))) | (~v198(constB32)) | (~((~v199(constB32)) | (~v200(constB32))))),
% 8.93/6.84 inference(tautology,[status(thm)],[])).
% 8.93/6.84 tff(31370,plain,
% 8.93/6.84 (~v198(constB32)),
% 8.93/6.84 inference(unit_resolution,[status(thm)],[31369, 31368, 31347])).
% 8.93/6.84 tff(31371,plain,
% 8.93/6.84 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB32) <=> (~((~v157(constB32)) | (~v195(constB32)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB32) <=> (~((~v157(constB32)) | (~v195(constB32))))))),
% 8.93/6.84 inference(rewrite,[status(thm)],[])).
% 8.93/6.84 tff(31372,plain,
% 8.93/6.84 ((v194(constB32) <=> (~((~v195(constB32)) | (~v157(constB32))))) <=> (v194(constB32) <=> (~((~v157(constB32)) | (~v195(constB32)))))),
% 8.93/6.84 inference(rewrite,[status(thm)],[])).
% 8.93/6.84 tff(31373,plain,
% 8.93/6.84 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB32) <=> (~((~v195(constB32)) | (~v157(constB32)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB32) <=> (~((~v157(constB32)) | (~v195(constB32))))))),
% 8.93/6.84 inference(monotonicity,[status(thm)],[31372])).
% 8.93/6.84 tff(31374,plain,
% 8.93/6.84 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB32) <=> (~((~v195(constB32)) | (~v157(constB32)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB32) <=> (~((~v157(constB32)) | (~v195(constB32))))))),
% 8.93/6.84 inference(transitivity,[status(thm)],[31373, 31371])).
% 8.93/6.84 tff(31375,plain,
% 8.93/6.84 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB32) <=> (~((~v195(constB32)) | (~v157(constB32)))))),
% 8.93/6.84 inference(quant_inst,[status(thm)],[])).
% 8.93/6.84 tff(31376,plain,
% 8.93/6.84 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB32) <=> (~((~v157(constB32)) | (~v195(constB32)))))),
% 8.93/6.84 inference(modus_ponens,[status(thm)],[31375, 31374])).
% 8.93/6.84 tff(31377,plain,
% 8.93/6.84 (v194(constB32) <=> (~((~v157(constB32)) | (~v195(constB32))))),
% 8.93/6.84 inference(unit_resolution,[status(thm)],[31376, 161])).
% 8.93/6.84 tff(31378,plain,
% 8.93/6.84 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB32) <=> v193(constB32))),
% 8.93/6.84 inference(quant_inst,[status(thm)],[])).
% 8.93/6.84 tff(31379,plain,
% 8.93/6.84 (v157(constB32) <=> v193(constB32)),
% 8.93/6.84 inference(unit_resolution,[status(thm)],[31378, 13])).
% 8.93/6.84 tff(31380,plain,
% 8.93/6.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB31, constB32)) | (v193(constB32) <=> v191(constB31)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB31, constB32)) | (v193(constB32) <=> v191(constB31)))),
% 8.93/6.84 inference(rewrite,[status(thm)],[])).
% 8.93/6.84 tff(31381,plain,
% 8.93/6.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB31, constB32)) | (v193(constB32) <=> v191(constB31)))),
% 8.93/6.84 inference(quant_inst,[status(thm)],[])).
% 8.93/6.84 tff(31382,plain,
% 8.93/6.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB31, constB32)) | (v193(constB32) <=> v191(constB31))),
% 8.93/6.84 inference(modus_ponens,[status(thm)],[31381, 31380])).
% 8.93/6.84 tff(31383,plain,
% 8.93/6.84 (v193(constB32) <=> v191(constB31)),
% 8.93/6.84 inference(unit_resolution,[status(thm)],[31382, 2152, 70])).
% 8.93/6.84 tff(31384,plain,
% 8.93/6.84 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB31) <=> (v194(constB31) | v198(constB31)))),
% 8.93/6.84 inference(quant_inst,[status(thm)],[])).
% 8.93/6.84 tff(31385,plain,
% 8.93/6.84 (v191(constB31) <=> (v194(constB31) | v198(constB31))),
% 8.93/6.84 inference(unit_resolution,[status(thm)],[31384, 84])).
% 8.93/6.84 tff(31386,plain,
% 8.93/6.84 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB31) <=> (~((~v157(constB31)) | (~v195(constB31)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB31) <=> (~((~v157(constB31)) | (~v195(constB31))))))),
% 8.93/6.84 inference(rewrite,[status(thm)],[])).
% 8.93/6.84 tff(31387,plain,
% 8.93/6.84 ((v194(constB31) <=> (~((~v195(constB31)) | (~v157(constB31))))) <=> (v194(constB31) <=> (~((~v157(constB31)) | (~v195(constB31)))))),
% 8.93/6.84 inference(rewrite,[status(thm)],[])).
% 8.93/6.84 tff(31388,plain,
% 8.93/6.84 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB31) <=> (~((~v195(constB31)) | (~v157(constB31)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB31) <=> (~((~v157(constB31)) | (~v195(constB31))))))),
% 8.93/6.84 inference(monotonicity,[status(thm)],[31387])).
% 8.93/6.84 tff(31389,plain,
% 8.93/6.84 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB31) <=> (~((~v195(constB31)) | (~v157(constB31)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB31) <=> (~((~v157(constB31)) | (~v195(constB31))))))),
% 8.93/6.84 inference(transitivity,[status(thm)],[31388, 31386])).
% 8.93/6.84 tff(31390,plain,
% 8.93/6.84 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB31) <=> (~((~v195(constB31)) | (~v157(constB31)))))),
% 8.93/6.84 inference(quant_inst,[status(thm)],[])).
% 8.93/6.84 tff(31391,plain,
% 8.93/6.84 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB31) <=> (~((~v157(constB31)) | (~v195(constB31)))))),
% 8.93/6.84 inference(modus_ponens,[status(thm)],[31390, 31389])).
% 8.93/6.84 tff(31392,plain,
% 8.93/6.84 (v194(constB31) <=> (~((~v157(constB31)) | (~v195(constB31))))),
% 8.93/6.84 inference(unit_resolution,[status(thm)],[31391, 161])).
% 8.93/6.84 tff(31393,plain,
% 8.93/6.84 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB31)) <=> v196(constB31))),
% 8.93/6.84 inference(quant_inst,[status(thm)],[])).
% 8.93/6.84 tff(31394,plain,
% 8.93/6.84 ((~v195(constB31)) <=> v196(constB31)),
% 8.93/6.84 inference(unit_resolution,[status(thm)],[31393, 193])).
% 8.93/6.84 tff(31395,plain,
% 8.93/6.84 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB31) <=> (v197(constB31) | v26(constB31)))),
% 8.93/6.84 inference(quant_inst,[status(thm)],[])).
% 8.93/6.84 tff(31396,plain,
% 8.93/6.84 (v196(constB31) <=> (v197(constB31) | v26(constB31))),
% 8.93/6.84 inference(unit_resolution,[status(thm)],[31395, 202])).
% 8.93/6.84 tff(31397,plain,
% 8.93/6.84 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB31) <=> (~((~v39(constB31)) | (~v9(constB31)))))),
% 8.93/6.84 inference(quant_inst,[status(thm)],[])).
% 8.93/6.84 tff(31398,plain,
% 8.93/6.84 (v197(constB31) <=> (~((~v39(constB31)) | (~v9(constB31))))),
% 8.93/6.84 inference(unit_resolution,[status(thm)],[31397, 120])).
% 8.93/6.84 tff(31399,plain,
% 8.93/6.84 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB31, constB32)) | (v13(constB32) <=> v9(constB31)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB31, constB32)) | (v13(constB32) <=> v9(constB31)))),
% 8.93/6.84 inference(rewrite,[status(thm)],[])).
% 8.93/6.84 tff(31400,plain,
% 8.93/6.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB31, constB32)) | (v13(constB32) <=> v9(constB31)))),
% 8.93/6.84 inference(quant_inst,[status(thm)],[])).
% 8.93/6.84 tff(31401,plain,
% 8.93/6.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB31, constB32)) | (v13(constB32) <=> v9(constB31))),
% 8.93/6.84 inference(modus_ponens,[status(thm)],[31400, 31399])).
% 8.93/6.84 tff(31402,plain,
% 8.93/6.84 (v13(constB32) <=> v9(constB31)),
% 8.93/6.84 inference(unit_resolution,[status(thm)],[31401, 2152, 216])).
% 8.93/6.84 tff(31403,plain,
% 8.93/6.84 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB32) <=> v13(constB32))),
% 8.93/6.84 inference(quant_inst,[status(thm)],[])).
% 8.93/6.84 tff(31404,plain,
% 8.93/6.84 (v6(constB32) <=> v13(constB32)),
% 8.93/6.84 inference(unit_resolution,[status(thm)],[31403, 230])).
% 8.93/6.84 tff(31405,plain,
% 8.93/6.84 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB32)) <=> v6(constB32))),
% 8.93/6.84 inference(quant_inst,[status(thm)],[])).
% 8.93/6.84 tff(31406,plain,
% 8.93/6.84 ((~v21(constB32)) <=> v6(constB32)),
% 8.93/6.84 inference(unit_resolution,[status(thm)],[31405, 239])).
% 8.93/6.84 tff(31407,plain,
% 8.93/6.84 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB32) <=> (v20(constB32) | v21(constB32)))),
% 8.93/6.84 inference(quant_inst,[status(thm)],[])).
% 8.93/6.84 tff(31408,plain,
% 8.93/6.84 (v19(constB32) <=> (v20(constB32) | v21(constB32))),
% 8.93/6.84 inference(unit_resolution,[status(thm)],[31407, 248])).
% 8.93/6.84 tff(31409,plain,
% 8.93/6.84 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB32) <=> (~((~v19(constB32)) | (~v22(constB32)))))),
% 8.93/6.85 inference(quant_inst,[status(thm)],[])).
% 8.93/6.85 tff(31410,plain,
% 8.93/6.85 (v18(constB32) <=> (~((~v19(constB32)) | (~v22(constB32))))),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31409, 260])).
% 8.93/6.85 tff(31411,plain,
% 8.93/6.85 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB32)) <=> v18(constB32))),
% 8.93/6.85 inference(quant_inst,[status(thm)],[])).
% 8.93/6.85 tff(31412,plain,
% 8.93/6.85 ((~v4(constB32)) <=> v18(constB32)),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31411, 269])).
% 8.93/6.85 tff(31413,plain,
% 8.93/6.85 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB32)),
% 8.93/6.85 inference(quant_inst,[status(thm)],[])).
% 8.93/6.85 tff(31414,plain,
% 8.93/6.85 (v4(constB32)),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31413, 278])).
% 8.93/6.85 tff(31415,plain,
% 8.93/6.85 ((~((~v4(constB32)) <=> v18(constB32))) | (~v4(constB32)) | (~v18(constB32))),
% 8.93/6.85 inference(tautology,[status(thm)],[])).
% 8.93/6.85 tff(31416,plain,
% 8.93/6.85 (~v18(constB32)),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31415, 31414, 31412])).
% 8.93/6.85 tff(31417,plain,
% 8.93/6.85 ((~(v18(constB32) <=> (~((~v19(constB32)) | (~v22(constB32)))))) | v18(constB32) | ((~v19(constB32)) | (~v22(constB32)))),
% 8.93/6.85 inference(tautology,[status(thm)],[])).
% 8.93/6.85 tff(31418,plain,
% 8.93/6.85 ((~v19(constB32)) | (~v22(constB32))),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31417, 31416, 31410])).
% 8.93/6.85 tff(31419,plain,
% 8.93/6.85 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB32) <=> (v1(constB32) | v6(constB32)))),
% 8.93/6.85 inference(quant_inst,[status(thm)],[])).
% 8.93/6.85 tff(31420,plain,
% 8.93/6.85 (v22(constB32) <=> (v1(constB32) | v6(constB32))),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31419, 291])).
% 8.93/6.85 tff(31421,plain,
% 8.93/6.85 ((v1(constB32) | v6(constB32)) | (~v1(constB32))),
% 8.93/6.85 inference(tautology,[status(thm)],[])).
% 8.93/6.85 tff(31422,plain,
% 8.93/6.85 (v1(constB32) | v6(constB32)),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31421, 5863])).
% 8.93/6.85 tff(31423,plain,
% 8.93/6.85 ((~(v22(constB32) <=> (v1(constB32) | v6(constB32)))) | v22(constB32) | (~(v1(constB32) | v6(constB32)))),
% 8.93/6.85 inference(tautology,[status(thm)],[])).
% 8.93/6.85 tff(31424,plain,
% 8.93/6.85 ((~(v22(constB32) <=> (v1(constB32) | v6(constB32)))) | v22(constB32)),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31423, 31422])).
% 8.93/6.85 tff(31425,plain,
% 8.93/6.85 (v22(constB32)),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31424, 31420])).
% 8.93/6.85 tff(31426,plain,
% 8.93/6.85 ((~((~v19(constB32)) | (~v22(constB32)))) | (~v19(constB32)) | (~v22(constB32))),
% 8.93/6.85 inference(tautology,[status(thm)],[])).
% 8.93/6.85 tff(31427,plain,
% 8.93/6.85 ((~((~v19(constB32)) | (~v22(constB32)))) | (~v19(constB32))),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31426, 31425])).
% 8.93/6.85 tff(31428,plain,
% 8.93/6.85 (~v19(constB32)),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31427, 31418])).
% 8.93/6.85 tff(31429,plain,
% 8.93/6.85 ((~(v19(constB32) <=> (v20(constB32) | v21(constB32)))) | v19(constB32) | (~(v20(constB32) | v21(constB32)))),
% 8.93/6.85 inference(tautology,[status(thm)],[])).
% 8.93/6.85 tff(31430,plain,
% 8.93/6.85 (~(v20(constB32) | v21(constB32))),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31429, 31428, 31408])).
% 8.93/6.85 tff(31431,plain,
% 8.93/6.85 ((v20(constB32) | v21(constB32)) | (~v21(constB32))),
% 8.93/6.85 inference(tautology,[status(thm)],[])).
% 8.93/6.85 tff(31432,plain,
% 8.93/6.85 (~v21(constB32)),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31431, 31430])).
% 8.93/6.85 tff(31433,plain,
% 8.93/6.85 ((~((~v21(constB32)) <=> v6(constB32))) | v21(constB32) | v6(constB32)),
% 8.93/6.85 inference(tautology,[status(thm)],[])).
% 8.93/6.85 tff(31434,plain,
% 8.93/6.85 (v6(constB32)),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31433, 31432, 31406])).
% 8.93/6.85 tff(31435,plain,
% 8.93/6.85 ((~(v6(constB32) <=> v13(constB32))) | (~v6(constB32)) | v13(constB32)),
% 8.93/6.85 inference(tautology,[status(thm)],[])).
% 8.93/6.85 tff(31436,plain,
% 8.93/6.85 (v13(constB32)),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31435, 31434, 31404])).
% 8.93/6.85 tff(31437,plain,
% 8.93/6.85 ((~(v13(constB32) <=> v9(constB31))) | (~v13(constB32)) | v9(constB31)),
% 8.93/6.85 inference(tautology,[status(thm)],[])).
% 8.93/6.85 tff(31438,plain,
% 8.93/6.85 (v9(constB31)),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31437, 31436, 31402])).
% 8.93/6.85 tff(31439,plain,
% 8.93/6.85 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB31)) <=> v1(constB31))),
% 8.93/6.85 inference(quant_inst,[status(thm)],[])).
% 8.93/6.85 tff(31440,plain,
% 8.93/6.85 ((~v39(constB31)) <=> v1(constB31)),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31439, 129])).
% 8.93/6.85 tff(31441,plain,
% 8.93/6.85 ((~((~v39(constB31)) <=> v1(constB31))) | v39(constB31) | v1(constB31)),
% 8.93/6.85 inference(tautology,[status(thm)],[])).
% 8.93/6.85 tff(31442,plain,
% 8.93/6.85 ((~((~v39(constB31)) <=> v1(constB31))) | v39(constB31)),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31441, 2196])).
% 8.93/6.85 tff(31443,plain,
% 8.93/6.85 (v39(constB31)),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31442, 31440])).
% 8.93/6.85 tff(31444,plain,
% 8.93/6.85 ((~((~v39(constB31)) | (~v9(constB31)))) | (~v39(constB31)) | (~v9(constB31))),
% 8.93/6.85 inference(tautology,[status(thm)],[])).
% 8.93/6.85 tff(31445,plain,
% 8.93/6.85 ((~((~v39(constB31)) | (~v9(constB31)))) | (~v9(constB31))),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31444, 31443])).
% 8.93/6.85 tff(31446,plain,
% 8.93/6.85 (~((~v39(constB31)) | (~v9(constB31)))),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31445, 31438])).
% 8.93/6.85 tff(31447,plain,
% 8.93/6.85 ((~(v197(constB31) <=> (~((~v39(constB31)) | (~v9(constB31)))))) | v197(constB31) | ((~v39(constB31)) | (~v9(constB31)))),
% 8.93/6.85 inference(tautology,[status(thm)],[])).
% 8.93/6.85 tff(31448,plain,
% 8.93/6.85 (v197(constB31)),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31447, 31446, 31398])).
% 8.93/6.85 tff(31449,plain,
% 8.93/6.85 ((v197(constB31) | v26(constB31)) | (~v197(constB31))),
% 8.93/6.85 inference(tautology,[status(thm)],[])).
% 8.93/6.85 tff(31450,plain,
% 8.93/6.85 (v197(constB31) | v26(constB31)),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31449, 31448])).
% 8.93/6.85 tff(31451,plain,
% 8.93/6.85 ((~(v196(constB31) <=> (v197(constB31) | v26(constB31)))) | v196(constB31) | (~(v197(constB31) | v26(constB31)))),
% 8.93/6.85 inference(tautology,[status(thm)],[])).
% 8.93/6.85 tff(31452,plain,
% 8.93/6.85 (v196(constB31)),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31451, 31450, 31396])).
% 8.93/6.85 tff(31453,plain,
% 8.93/6.85 ((~((~v195(constB31)) <=> v196(constB31))) | (~v195(constB31)) | (~v196(constB31))),
% 8.93/6.85 inference(tautology,[status(thm)],[])).
% 8.93/6.85 tff(31454,plain,
% 8.93/6.85 (~v195(constB31)),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31453, 31452, 31394])).
% 8.93/6.85 tff(31455,plain,
% 8.93/6.85 (((~v157(constB31)) | (~v195(constB31))) | v195(constB31)),
% 8.93/6.85 inference(tautology,[status(thm)],[])).
% 8.93/6.85 tff(31456,plain,
% 8.93/6.85 ((~v157(constB31)) | (~v195(constB31))),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31455, 31454])).
% 8.93/6.85 tff(31457,plain,
% 8.93/6.85 ((~(v194(constB31) <=> (~((~v157(constB31)) | (~v195(constB31)))))) | (~v194(constB31)) | (~((~v157(constB31)) | (~v195(constB31))))),
% 8.93/6.85 inference(tautology,[status(thm)],[])).
% 8.93/6.85 tff(31458,plain,
% 8.93/6.85 (~v194(constB31)),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31457, 31456, 31392])).
% 8.93/6.85 tff(31459,plain,
% 8.93/6.85 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB31) <=> (~((~v199(constB31)) | (~v200(constB31)))))),
% 8.93/6.85 inference(quant_inst,[status(thm)],[])).
% 8.93/6.85 tff(31460,plain,
% 8.93/6.85 (v198(constB31) <=> (~((~v199(constB31)) | (~v200(constB31))))),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31459, 96])).
% 8.93/6.85 tff(31461,plain,
% 8.93/6.85 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB31) <=> (~((~v197(constB31)) | (~v201(constB31)))))),
% 8.93/6.85 inference(quant_inst,[status(thm)],[])).
% 8.93/6.85 tff(31462,plain,
% 8.93/6.85 (v200(constB31) <=> (~((~v197(constB31)) | (~v201(constB31))))),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31461, 108])).
% 8.93/6.85 tff(31463,plain,
% 8.93/6.85 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB31) <=> (~((~v159(constB31)) | (~v161(constB31)))))),
% 8.93/6.85 inference(quant_inst,[status(thm)],[])).
% 8.93/6.85 tff(31464,plain,
% 8.93/6.85 (v201(constB31) <=> (~((~v159(constB31)) | (~v161(constB31))))),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31463, 348])).
% 8.93/6.85 tff(31465,plain,
% 8.93/6.85 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB31) <=> v163(constB31))),
% 8.93/6.85 inference(quant_inst,[status(thm)],[])).
% 8.93/6.85 tff(31466,plain,
% 8.93/6.85 (v161(constB31) <=> v163(constB31)),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31465, 357])).
% 8.93/6.85 tff(31467,plain,
% 8.93/6.85 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB31) <=> (v145(constB31) | v167(constB31)))),
% 8.93/6.85 inference(quant_inst,[status(thm)],[])).
% 8.93/6.85 tff(31468,plain,
% 8.93/6.85 (v166(constB31) <=> (v145(constB31) | v167(constB31))),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31467, 369])).
% 8.93/6.85 tff(31469,plain,
% 8.93/6.85 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB31) <=> (v142(constB31) | v168(constB31)))),
% 8.93/6.85 inference(quant_inst,[status(thm)],[])).
% 8.93/6.85 tff(31470,plain,
% 8.93/6.85 (v167(constB31) <=> (v142(constB31) | v168(constB31))),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31469, 381])).
% 8.93/6.85 tff(31471,plain,
% 8.93/6.85 ((~![VarCurr: $i] : (v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr)))) | (v168(constB31) <=> (v141(constB31) | v169(constB31)))),
% 8.93/6.85 inference(quant_inst,[status(thm)],[])).
% 8.93/6.85 tff(31472,plain,
% 8.93/6.85 (v168(constB31) <=> (v141(constB31) | v169(constB31))),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31471, 393])).
% 8.93/6.85 tff(31473,plain,
% 8.93/6.85 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB31) <=> (~((~v88(constB31, bitIndex1)) | v88(constB31, bitIndex2) | (~v88(constB31, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB31) <=> (~((~v88(constB31, bitIndex1)) | v88(constB31, bitIndex2) | (~v88(constB31, bitIndex0))))))),
% 8.93/6.85 inference(rewrite,[status(thm)],[])).
% 8.93/6.85 tff(31474,plain,
% 8.93/6.85 ((v141(constB31) <=> (~(v88(constB31, bitIndex2) | (~v88(constB31, bitIndex1)) | (~v88(constB31, bitIndex0))))) <=> (v141(constB31) <=> (~((~v88(constB31, bitIndex1)) | v88(constB31, bitIndex2) | (~v88(constB31, bitIndex0)))))),
% 8.93/6.85 inference(rewrite,[status(thm)],[])).
% 8.93/6.85 tff(31475,plain,
% 8.93/6.85 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB31) <=> (~(v88(constB31, bitIndex2) | (~v88(constB31, bitIndex1)) | (~v88(constB31, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB31) <=> (~((~v88(constB31, bitIndex1)) | v88(constB31, bitIndex2) | (~v88(constB31, bitIndex0))))))),
% 8.93/6.85 inference(monotonicity,[status(thm)],[31474])).
% 8.93/6.85 tff(31476,plain,
% 8.93/6.85 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB31) <=> (~(v88(constB31, bitIndex2) | (~v88(constB31, bitIndex1)) | (~v88(constB31, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB31) <=> (~((~v88(constB31, bitIndex1)) | v88(constB31, bitIndex2) | (~v88(constB31, bitIndex0))))))),
% 8.93/6.85 inference(transitivity,[status(thm)],[31475, 31473])).
% 8.93/6.85 tff(31477,plain,
% 8.93/6.85 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB31) <=> (~(v88(constB31, bitIndex2) | (~v88(constB31, bitIndex1)) | (~v88(constB31, bitIndex0)))))),
% 8.93/6.85 inference(quant_inst,[status(thm)],[])).
% 8.93/6.85 tff(31478,plain,
% 8.93/6.85 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB31) <=> (~((~v88(constB31, bitIndex1)) | v88(constB31, bitIndex2) | (~v88(constB31, bitIndex0)))))),
% 8.93/6.85 inference(modus_ponens,[status(thm)],[31477, 31476])).
% 8.93/6.85 tff(31479,plain,
% 8.93/6.85 (v141(constB31) <=> (~((~v88(constB31, bitIndex1)) | v88(constB31, bitIndex2) | (~v88(constB31, bitIndex0))))),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31478, 408])).
% 8.93/6.85 tff(31480,plain,
% 8.93/6.85 ((~![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))) | (~(((~v88(constB31, bitIndex1)) <=> v90(constB31, bitIndex1)) | ((~v88(constB31, bitIndex2)) <=> v90(constB31, bitIndex2)) | ((~v88(constB31, bitIndex0)) <=> v90(constB31, bitIndex0))))),
% 8.93/6.85 inference(quant_inst,[status(thm)],[])).
% 8.93/6.85 tff(31481,plain,
% 8.93/6.85 (~(((~v88(constB31, bitIndex1)) <=> v90(constB31, bitIndex1)) | ((~v88(constB31, bitIndex2)) <=> v90(constB31, bitIndex2)) | ((~v88(constB31, bitIndex0)) <=> v90(constB31, bitIndex0)))),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31480, 428])).
% 8.93/6.85 tff(31482,plain,
% 8.93/6.85 ((((~v88(constB31, bitIndex1)) <=> v90(constB31, bitIndex1)) | ((~v88(constB31, bitIndex2)) <=> v90(constB31, bitIndex2)) | ((~v88(constB31, bitIndex0)) <=> v90(constB31, bitIndex0))) | (~((~v88(constB31, bitIndex2)) <=> v90(constB31, bitIndex2)))),
% 8.93/6.85 inference(tautology,[status(thm)],[])).
% 8.93/6.85 tff(31483,plain,
% 8.93/6.85 (~((~v88(constB31, bitIndex2)) <=> v90(constB31, bitIndex2))),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31482, 31481])).
% 8.93/6.85 tff(31484,plain,
% 8.93/6.85 (((~v88(constB31, bitIndex2)) <=> v90(constB31, bitIndex2)) | (~v88(constB31, bitIndex2)) | v90(constB31, bitIndex2)),
% 8.93/6.85 inference(tautology,[status(thm)],[])).
% 8.93/6.85 tff(31485,plain,
% 8.93/6.85 (~v88(constB31, bitIndex2)),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31484, 5782, 31483])).
% 8.93/6.85 tff(31486,plain,
% 8.93/6.85 ((((~v88(constB31, bitIndex1)) <=> v90(constB31, bitIndex1)) | ((~v88(constB31, bitIndex2)) <=> v90(constB31, bitIndex2)) | ((~v88(constB31, bitIndex0)) <=> v90(constB31, bitIndex0))) | (~((~v88(constB31, bitIndex0)) <=> v90(constB31, bitIndex0)))),
% 8.93/6.85 inference(tautology,[status(thm)],[])).
% 8.93/6.85 tff(31487,plain,
% 8.93/6.85 (~((~v88(constB31, bitIndex0)) <=> v90(constB31, bitIndex0))),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31486, 31481])).
% 8.93/6.85 tff(31488,plain,
% 8.93/6.85 (((~v88(constB31, bitIndex0)) <=> v90(constB31, bitIndex0)) | v88(constB31, bitIndex0) | (~v90(constB31, bitIndex0))),
% 8.93/6.85 inference(tautology,[status(thm)],[])).
% 8.93/6.85 tff(31489,plain,
% 8.93/6.85 (v88(constB31, bitIndex0)),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31488, 5800, 31487])).
% 8.93/6.85 tff(31490,plain,
% 8.93/6.85 ((((~v88(constB31, bitIndex1)) <=> v90(constB31, bitIndex1)) | ((~v88(constB31, bitIndex2)) <=> v90(constB31, bitIndex2)) | ((~v88(constB31, bitIndex0)) <=> v90(constB31, bitIndex0))) | (~((~v88(constB31, bitIndex1)) <=> v90(constB31, bitIndex1)))),
% 8.93/6.85 inference(tautology,[status(thm)],[])).
% 8.93/6.85 tff(31491,plain,
% 8.93/6.85 (~((~v88(constB31, bitIndex1)) <=> v90(constB31, bitIndex1))),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31490, 31481])).
% 8.93/6.85 tff(31492,plain,
% 8.93/6.85 (((~v88(constB31, bitIndex1)) <=> v90(constB31, bitIndex1)) | v88(constB31, bitIndex1) | (~v90(constB31, bitIndex1))),
% 8.93/6.85 inference(tautology,[status(thm)],[])).
% 8.93/6.85 tff(31493,plain,
% 8.93/6.85 (v88(constB31, bitIndex1)),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31492, 5818, 31491])).
% 8.93/6.85 tff(31494,plain,
% 8.93/6.85 ((~((~v88(constB31, bitIndex1)) | v88(constB31, bitIndex2) | (~v88(constB31, bitIndex0)))) | (~v88(constB31, bitIndex1)) | v88(constB31, bitIndex2) | (~v88(constB31, bitIndex0))),
% 8.93/6.85 inference(tautology,[status(thm)],[])).
% 8.93/6.85 tff(31495,plain,
% 8.93/6.85 (~((~v88(constB31, bitIndex1)) | v88(constB31, bitIndex2) | (~v88(constB31, bitIndex0)))),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31494, 31493, 31489, 31485])).
% 8.93/6.85 tff(31496,plain,
% 8.93/6.85 ((~(v141(constB31) <=> (~((~v88(constB31, bitIndex1)) | v88(constB31, bitIndex2) | (~v88(constB31, bitIndex0)))))) | v141(constB31) | ((~v88(constB31, bitIndex1)) | v88(constB31, bitIndex2) | (~v88(constB31, bitIndex0)))),
% 8.93/6.85 inference(tautology,[status(thm)],[])).
% 8.93/6.85 tff(31497,plain,
% 8.93/6.85 (v141(constB31)),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31496, 31495, 31479])).
% 8.93/6.85 tff(31498,plain,
% 8.93/6.85 ((v141(constB31) | v169(constB31)) | (~v141(constB31))),
% 8.93/6.85 inference(tautology,[status(thm)],[])).
% 8.93/6.85 tff(31499,plain,
% 8.93/6.85 (v141(constB31) | v169(constB31)),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31498, 31497])).
% 8.93/6.85 tff(31500,plain,
% 8.93/6.85 ((~(v168(constB31) <=> (v141(constB31) | v169(constB31)))) | v168(constB31) | (~(v141(constB31) | v169(constB31)))),
% 8.93/6.85 inference(tautology,[status(thm)],[])).
% 8.93/6.85 tff(31501,plain,
% 8.93/6.85 (v168(constB31)),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31500, 31499, 31472])).
% 8.93/6.85 tff(31502,plain,
% 8.93/6.85 ((v142(constB31) | v168(constB31)) | (~v168(constB31))),
% 8.93/6.85 inference(tautology,[status(thm)],[])).
% 8.93/6.85 tff(31503,plain,
% 8.93/6.85 (v142(constB31) | v168(constB31)),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31502, 31501])).
% 8.93/6.85 tff(31504,plain,
% 8.93/6.85 ((~(v167(constB31) <=> (v142(constB31) | v168(constB31)))) | v167(constB31) | (~(v142(constB31) | v168(constB31)))),
% 8.93/6.85 inference(tautology,[status(thm)],[])).
% 8.93/6.85 tff(31505,plain,
% 8.93/6.85 ((~(v167(constB31) <=> (v142(constB31) | v168(constB31)))) | v167(constB31)),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31504, 31503])).
% 8.93/6.85 tff(31506,plain,
% 8.93/6.85 (v167(constB31)),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31505, 31470])).
% 8.93/6.85 tff(31507,plain,
% 8.93/6.85 ((v145(constB31) | v167(constB31)) | (~v167(constB31))),
% 8.93/6.85 inference(tautology,[status(thm)],[])).
% 8.93/6.85 tff(31508,plain,
% 8.93/6.85 (v145(constB31) | v167(constB31)),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31507, 31506])).
% 8.93/6.85 tff(31509,plain,
% 8.93/6.85 ((~(v166(constB31) <=> (v145(constB31) | v167(constB31)))) | v166(constB31) | (~(v145(constB31) | v167(constB31)))),
% 8.93/6.85 inference(tautology,[status(thm)],[])).
% 8.93/6.85 tff(31510,plain,
% 8.93/6.85 (v166(constB31)),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31509, 31508, 31468])).
% 8.93/6.85 tff(31511,plain,
% 8.93/6.85 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB31)) | (v163(constB31) <=> v170(constB31)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB31)) | (v163(constB31) <=> v170(constB31)))),
% 8.93/6.85 inference(rewrite,[status(thm)],[])).
% 8.93/6.85 tff(31512,plain,
% 8.93/6.85 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB31)) | (v163(constB31) <=> v170(constB31)))),
% 8.93/6.85 inference(quant_inst,[status(thm)],[])).
% 8.93/6.85 tff(31513,plain,
% 8.93/6.85 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB31)) | (v163(constB31) <=> v170(constB31))),
% 8.93/6.85 inference(modus_ponens,[status(thm)],[31512, 31511])).
% 8.93/6.85 tff(31514,plain,
% 8.93/6.85 ((~v166(constB31)) | (v163(constB31) <=> v170(constB31))),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31513, 9851])).
% 8.93/6.85 tff(31515,plain,
% 8.93/6.85 (v163(constB31) <=> v170(constB31)),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31514, 31510])).
% 8.93/6.85 tff(31516,plain,
% 8.93/6.85 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB31) <=> (v142(constB31) | v150(constB31)))),
% 8.93/6.85 inference(quant_inst,[status(thm)],[])).
% 8.93/6.85 tff(31517,plain,
% 8.93/6.85 (v171(constB31) <=> (v142(constB31) | v150(constB31))),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31516, 9866])).
% 8.93/6.85 tff(31518,plain,
% 8.93/6.85 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v141(VarCurr) | v151(VarCurr)))) | (v150(constB31) <=> (v141(constB31) | v151(constB31)))),
% 8.93/6.85 inference(quant_inst,[status(thm)],[])).
% 8.93/6.85 tff(31519,plain,
% 8.93/6.85 (v150(constB31) <=> (v141(constB31) | v151(constB31))),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31518, 9878])).
% 8.93/6.85 tff(31520,plain,
% 8.93/6.85 ((v141(constB31) | v151(constB31)) | (~v141(constB31))),
% 8.93/6.85 inference(tautology,[status(thm)],[])).
% 8.93/6.85 tff(31521,plain,
% 8.93/6.85 (v141(constB31) | v151(constB31)),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31520, 31497])).
% 8.93/6.85 tff(31522,plain,
% 8.93/6.85 ((~(v150(constB31) <=> (v141(constB31) | v151(constB31)))) | v150(constB31) | (~(v141(constB31) | v151(constB31)))),
% 8.93/6.85 inference(tautology,[status(thm)],[])).
% 8.93/6.85 tff(31523,plain,
% 8.93/6.85 (v150(constB31)),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31522, 31521, 31519])).
% 8.93/6.85 tff(31524,plain,
% 8.93/6.85 ((v142(constB31) | v150(constB31)) | (~v150(constB31))),
% 8.93/6.85 inference(tautology,[status(thm)],[])).
% 8.93/6.85 tff(31525,plain,
% 8.93/6.85 (v142(constB31) | v150(constB31)),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31524, 31523])).
% 8.93/6.85 tff(31526,plain,
% 8.93/6.85 ((~(v171(constB31) <=> (v142(constB31) | v150(constB31)))) | v171(constB31) | (~(v142(constB31) | v150(constB31)))),
% 8.93/6.85 inference(tautology,[status(thm)],[])).
% 8.93/6.85 tff(31527,plain,
% 8.93/6.85 ((~(v171(constB31) <=> (v142(constB31) | v150(constB31)))) | v171(constB31)),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31526, 31525])).
% 8.93/6.85 tff(31528,plain,
% 8.93/6.85 (v171(constB31)),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31527, 31517])).
% 8.93/6.85 tff(31529,plain,
% 8.93/6.85 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB31)) | (~v171(constB31)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB31)) | (~v171(constB31)))),
% 8.93/6.85 inference(rewrite,[status(thm)],[])).
% 8.93/6.85 tff(31530,plain,
% 8.93/6.85 (((~v171(constB31)) | (~v170(constB31))) <=> ((~v170(constB31)) | (~v171(constB31)))),
% 8.93/6.85 inference(rewrite,[status(thm)],[])).
% 8.93/6.85 tff(31531,plain,
% 8.93/6.85 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB31)) | (~v170(constB31)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB31)) | (~v171(constB31))))),
% 8.93/6.85 inference(monotonicity,[status(thm)],[31530])).
% 8.93/6.85 tff(31532,plain,
% 8.93/6.85 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB31)) | (~v170(constB31)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB31)) | (~v171(constB31)))),
% 8.93/6.85 inference(transitivity,[status(thm)],[31531, 31529])).
% 8.93/6.85 tff(31533,plain,
% 8.93/6.85 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB31)) | (~v170(constB31)))),
% 8.93/6.85 inference(quant_inst,[status(thm)],[])).
% 8.93/6.85 tff(31534,plain,
% 8.93/6.85 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB31)) | (~v171(constB31))),
% 8.93/6.85 inference(modus_ponens,[status(thm)],[31533, 31532])).
% 8.93/6.85 tff(31535,plain,
% 8.93/6.85 (~v170(constB31)),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31534, 9899, 31528])).
% 8.93/6.85 tff(31536,plain,
% 8.93/6.85 ((~(v163(constB31) <=> v170(constB31))) | (~v163(constB31)) | v170(constB31)),
% 8.93/6.85 inference(tautology,[status(thm)],[])).
% 8.93/6.85 tff(31537,plain,
% 8.93/6.85 (~v163(constB31)),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31536, 31535, 31515])).
% 8.93/6.85 tff(31538,plain,
% 8.93/6.85 ((~(v161(constB31) <=> v163(constB31))) | (~v161(constB31)) | v163(constB31)),
% 8.93/6.85 inference(tautology,[status(thm)],[])).
% 8.93/6.85 tff(31539,plain,
% 8.93/6.85 (~v161(constB31)),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31538, 31537, 31466])).
% 8.93/6.85 tff(31540,plain,
% 8.93/6.85 (((~v159(constB31)) | (~v161(constB31))) | v161(constB31)),
% 8.93/6.85 inference(tautology,[status(thm)],[])).
% 8.93/6.85 tff(31541,plain,
% 8.93/6.85 ((~v159(constB31)) | (~v161(constB31))),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31540, 31539])).
% 8.93/6.85 tff(31542,plain,
% 8.93/6.85 ((~(v201(constB31) <=> (~((~v159(constB31)) | (~v161(constB31)))))) | (~v201(constB31)) | (~((~v159(constB31)) | (~v161(constB31))))),
% 8.93/6.85 inference(tautology,[status(thm)],[])).
% 8.93/6.85 tff(31543,plain,
% 8.93/6.85 (~v201(constB31)),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31542, 31541, 31464])).
% 8.93/6.85 tff(31544,plain,
% 8.93/6.85 (((~v197(constB31)) | (~v201(constB31))) | v201(constB31)),
% 8.93/6.85 inference(tautology,[status(thm)],[])).
% 8.93/6.85 tff(31545,plain,
% 8.93/6.85 ((~v197(constB31)) | (~v201(constB31))),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31544, 31543])).
% 8.93/6.85 tff(31546,plain,
% 8.93/6.85 ((~(v200(constB31) <=> (~((~v197(constB31)) | (~v201(constB31)))))) | (~v200(constB31)) | (~((~v197(constB31)) | (~v201(constB31))))),
% 8.93/6.85 inference(tautology,[status(thm)],[])).
% 8.93/6.85 tff(31547,plain,
% 8.93/6.85 (~v200(constB31)),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31546, 31545, 31462])).
% 8.93/6.85 tff(31548,plain,
% 8.93/6.85 (((~v199(constB31)) | (~v200(constB31))) | v200(constB31)),
% 8.93/6.85 inference(tautology,[status(thm)],[])).
% 8.93/6.85 tff(31549,plain,
% 8.93/6.85 ((~v199(constB31)) | (~v200(constB31))),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31548, 31547])).
% 8.93/6.85 tff(31550,plain,
% 8.93/6.85 ((~(v198(constB31) <=> (~((~v199(constB31)) | (~v200(constB31)))))) | (~v198(constB31)) | (~((~v199(constB31)) | (~v200(constB31))))),
% 8.93/6.85 inference(tautology,[status(thm)],[])).
% 8.93/6.85 tff(31551,plain,
% 8.93/6.85 (~v198(constB31)),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31550, 31549, 31460])).
% 8.93/6.85 tff(31552,plain,
% 8.93/6.85 ((~(v194(constB31) | v198(constB31))) | v194(constB31) | v198(constB31)),
% 8.93/6.85 inference(tautology,[status(thm)],[])).
% 8.93/6.85 tff(31553,plain,
% 8.93/6.85 (~(v194(constB31) | v198(constB31))),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31552, 31551, 31458])).
% 8.93/6.85 tff(31554,plain,
% 8.93/6.85 ((~(v191(constB31) <=> (v194(constB31) | v198(constB31)))) | (~v191(constB31)) | (v194(constB31) | v198(constB31))),
% 8.93/6.85 inference(tautology,[status(thm)],[])).
% 8.93/6.85 tff(31555,plain,
% 8.93/6.85 (~v191(constB31)),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31554, 31553, 31385])).
% 8.93/6.85 tff(31556,plain,
% 8.93/6.85 ((~(v193(constB32) <=> v191(constB31))) | (~v193(constB32)) | v191(constB31)),
% 8.93/6.85 inference(tautology,[status(thm)],[])).
% 8.93/6.85 tff(31557,plain,
% 8.93/6.85 (~v193(constB32)),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31556, 31555, 31383])).
% 8.93/6.85 tff(31558,plain,
% 8.93/6.85 ((~(v157(constB32) <=> v193(constB32))) | (~v157(constB32)) | v193(constB32)),
% 8.93/6.85 inference(tautology,[status(thm)],[])).
% 8.93/6.85 tff(31559,plain,
% 8.93/6.85 (~v157(constB32)),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31558, 31557, 31379])).
% 8.93/6.85 tff(31560,plain,
% 8.93/6.85 (((~v157(constB32)) | (~v195(constB32))) | v157(constB32)),
% 8.93/6.85 inference(tautology,[status(thm)],[])).
% 8.93/6.85 tff(31561,plain,
% 8.93/6.85 ((~v157(constB32)) | (~v195(constB32))),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31560, 31559])).
% 8.93/6.85 tff(31562,plain,
% 8.93/6.85 ((~(v194(constB32) <=> (~((~v157(constB32)) | (~v195(constB32)))))) | (~v194(constB32)) | (~((~v157(constB32)) | (~v195(constB32))))),
% 8.93/6.85 inference(tautology,[status(thm)],[])).
% 8.93/6.85 tff(31563,plain,
% 8.93/6.85 (~v194(constB32)),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31562, 31561, 31377])).
% 8.93/6.85 tff(31564,plain,
% 8.93/6.85 ((~(v194(constB32) | v198(constB32))) | v194(constB32) | v198(constB32)),
% 8.93/6.85 inference(tautology,[status(thm)],[])).
% 8.93/6.85 tff(31565,plain,
% 8.93/6.85 (~(v194(constB32) | v198(constB32))),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31564, 31563, 31370])).
% 8.93/6.85 tff(31566,plain,
% 8.93/6.85 ((~(v191(constB32) <=> (v194(constB32) | v198(constB32)))) | (~v191(constB32)) | (v194(constB32) | v198(constB32))),
% 8.93/6.85 inference(tautology,[status(thm)],[])).
% 8.93/6.85 tff(31567,plain,
% 8.93/6.85 (~v191(constB32)),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31566, 31565, 31345])).
% 8.93/6.85 tff(31568,plain,
% 8.93/6.85 ((~(v193(constB33) <=> v191(constB32))) | (~v193(constB33)) | v191(constB32)),
% 8.93/6.85 inference(tautology,[status(thm)],[])).
% 8.93/6.85 tff(31569,plain,
% 8.93/6.85 (~v193(constB33)),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31568, 31567, 31343])).
% 8.93/6.85 tff(31570,plain,
% 8.93/6.85 ($false),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31569, 31339])).
% 8.93/6.85 tff(31571,plain,(~(constB33 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.93/6.85 tff(31572,assumption,(constB131 = VarCurr!0), introduced(assumption)).
% 8.93/6.85 tff(31573,plain,
% 8.93/6.85 (v193(constB131) <=> v193(VarCurr!0)),
% 8.93/6.85 inference(monotonicity,[status(thm)],[31572])).
% 8.93/6.85 tff(31574,plain,
% 8.93/6.85 (v193(VarCurr!0) <=> v193(constB131)),
% 8.93/6.85 inference(symmetry,[status(thm)],[31573])).
% 8.93/6.85 tff(31575,plain,
% 8.93/6.85 (v193(constB131)),
% 8.93/6.85 inference(modus_ponens,[status(thm)],[59, 31574])).
% 8.93/6.85 tff(31576,plain,
% 8.93/6.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB130, constB131)) | (v193(constB131) <=> v191(constB130)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB130, constB131)) | (v193(constB131) <=> v191(constB130)))),
% 8.93/6.85 inference(rewrite,[status(thm)],[])).
% 8.93/6.85 tff(31577,plain,
% 8.93/6.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB130, constB131)) | (v193(constB131) <=> v191(constB130)))),
% 8.93/6.85 inference(quant_inst,[status(thm)],[])).
% 8.93/6.85 tff(31578,plain,
% 8.93/6.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB130, constB131)) | (v193(constB131) <=> v191(constB130))),
% 8.93/6.85 inference(modus_ponens,[status(thm)],[31577, 31576])).
% 8.93/6.85 tff(31579,plain,
% 8.93/6.85 (v193(constB131) <=> v191(constB130)),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31578, 17053, 70])).
% 8.93/6.85 tff(31580,plain,
% 8.93/6.85 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB130) <=> (v194(constB130) | v198(constB130)))),
% 8.93/6.85 inference(quant_inst,[status(thm)],[])).
% 8.93/6.85 tff(31581,plain,
% 8.93/6.85 (v191(constB130) <=> (v194(constB130) | v198(constB130))),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31580, 84])).
% 8.93/6.85 tff(31582,plain,
% 8.93/6.85 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB130) <=> (~((~v199(constB130)) | (~v200(constB130)))))),
% 8.93/6.85 inference(quant_inst,[status(thm)],[])).
% 8.93/6.85 tff(31583,plain,
% 8.93/6.85 (v198(constB130) <=> (~((~v199(constB130)) | (~v200(constB130))))),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31582, 96])).
% 8.93/6.85 tff(31584,plain,
% 8.93/6.85 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB130) <=> (~((~v197(constB130)) | (~v201(constB130)))))),
% 8.93/6.85 inference(quant_inst,[status(thm)],[])).
% 8.93/6.85 tff(31585,plain,
% 8.93/6.85 (v200(constB130) <=> (~((~v197(constB130)) | (~v201(constB130))))),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31584, 108])).
% 8.93/6.85 tff(31586,plain,
% 8.93/6.85 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB130) <=> (~((~v39(constB130)) | (~v9(constB130)))))),
% 8.93/6.85 inference(quant_inst,[status(thm)],[])).
% 8.93/6.85 tff(31587,plain,
% 8.93/6.85 (v197(constB130) <=> (~((~v39(constB130)) | (~v9(constB130))))),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31586, 120])).
% 8.93/6.85 tff(31588,plain,
% 8.93/6.85 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB130)) <=> v1(constB130))),
% 8.93/6.85 inference(quant_inst,[status(thm)],[])).
% 8.93/6.85 tff(31589,plain,
% 8.93/6.85 ((~v39(constB130)) <=> v1(constB130)),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31588, 129])).
% 8.93/6.85 tff(31590,plain,
% 8.93/6.85 ((~((~v39(constB130)) <=> v1(constB130))) | (~v39(constB130)) | (~v1(constB130))),
% 8.93/6.85 inference(tautology,[status(thm)],[])).
% 8.93/6.85 tff(31591,plain,
% 8.93/6.85 ((~((~v39(constB130)) <=> v1(constB130))) | (~v39(constB130))),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31590, 18743])).
% 8.93/6.85 tff(31592,plain,
% 8.93/6.85 (~v39(constB130)),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31591, 31589])).
% 8.93/6.85 tff(31593,plain,
% 8.93/6.85 (((~v39(constB130)) | (~v9(constB130))) | v39(constB130)),
% 8.93/6.85 inference(tautology,[status(thm)],[])).
% 8.93/6.85 tff(31594,plain,
% 8.93/6.85 ((~v39(constB130)) | (~v9(constB130))),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31593, 31592])).
% 8.93/6.85 tff(31595,plain,
% 8.93/6.85 ((~(v197(constB130) <=> (~((~v39(constB130)) | (~v9(constB130)))))) | (~v197(constB130)) | (~((~v39(constB130)) | (~v9(constB130))))),
% 8.93/6.85 inference(tautology,[status(thm)],[])).
% 8.93/6.85 tff(31596,plain,
% 8.93/6.85 ((~(v197(constB130) <=> (~((~v39(constB130)) | (~v9(constB130)))))) | (~v197(constB130))),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31595, 31594])).
% 8.93/6.85 tff(31597,plain,
% 8.93/6.85 (~v197(constB130)),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31596, 31587])).
% 8.93/6.85 tff(31598,plain,
% 8.93/6.85 (((~v197(constB130)) | (~v201(constB130))) | v197(constB130)),
% 8.93/6.85 inference(tautology,[status(thm)],[])).
% 8.93/6.85 tff(31599,plain,
% 8.93/6.85 ((~v197(constB130)) | (~v201(constB130))),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31598, 31597])).
% 8.93/6.85 tff(31600,plain,
% 8.93/6.85 ((~(v200(constB130) <=> (~((~v197(constB130)) | (~v201(constB130)))))) | (~v200(constB130)) | (~((~v197(constB130)) | (~v201(constB130))))),
% 8.93/6.85 inference(tautology,[status(thm)],[])).
% 8.93/6.85 tff(31601,plain,
% 8.93/6.85 ((~(v200(constB130) <=> (~((~v197(constB130)) | (~v201(constB130)))))) | (~v200(constB130))),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31600, 31599])).
% 8.93/6.85 tff(31602,plain,
% 8.93/6.85 (~v200(constB130)),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31601, 31585])).
% 8.93/6.85 tff(31603,plain,
% 8.93/6.85 (((~v199(constB130)) | (~v200(constB130))) | v200(constB130)),
% 8.93/6.85 inference(tautology,[status(thm)],[])).
% 8.93/6.85 tff(31604,plain,
% 8.93/6.85 ((~v199(constB130)) | (~v200(constB130))),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31603, 31602])).
% 8.93/6.85 tff(31605,plain,
% 8.93/6.85 ((~(v198(constB130) <=> (~((~v199(constB130)) | (~v200(constB130)))))) | (~v198(constB130)) | (~((~v199(constB130)) | (~v200(constB130))))),
% 8.93/6.85 inference(tautology,[status(thm)],[])).
% 8.93/6.85 tff(31606,plain,
% 8.93/6.85 (~v198(constB130)),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31605, 31604, 31583])).
% 8.93/6.85 tff(31607,plain,
% 8.93/6.85 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB130) <=> (~((~v157(constB130)) | (~v195(constB130)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB130) <=> (~((~v157(constB130)) | (~v195(constB130))))))),
% 8.93/6.85 inference(rewrite,[status(thm)],[])).
% 8.93/6.85 tff(31608,plain,
% 8.93/6.85 ((v194(constB130) <=> (~((~v195(constB130)) | (~v157(constB130))))) <=> (v194(constB130) <=> (~((~v157(constB130)) | (~v195(constB130)))))),
% 8.93/6.85 inference(rewrite,[status(thm)],[])).
% 8.93/6.85 tff(31609,plain,
% 8.93/6.85 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB130) <=> (~((~v195(constB130)) | (~v157(constB130)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB130) <=> (~((~v157(constB130)) | (~v195(constB130))))))),
% 8.93/6.85 inference(monotonicity,[status(thm)],[31608])).
% 8.93/6.85 tff(31610,plain,
% 8.93/6.85 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB130) <=> (~((~v195(constB130)) | (~v157(constB130)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB130) <=> (~((~v157(constB130)) | (~v195(constB130))))))),
% 8.93/6.85 inference(transitivity,[status(thm)],[31609, 31607])).
% 8.93/6.85 tff(31611,plain,
% 8.93/6.85 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB130) <=> (~((~v195(constB130)) | (~v157(constB130)))))),
% 8.93/6.85 inference(quant_inst,[status(thm)],[])).
% 8.93/6.85 tff(31612,plain,
% 8.93/6.85 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB130) <=> (~((~v157(constB130)) | (~v195(constB130)))))),
% 8.93/6.85 inference(modus_ponens,[status(thm)],[31611, 31610])).
% 8.93/6.85 tff(31613,plain,
% 8.93/6.85 (v194(constB130) <=> (~((~v157(constB130)) | (~v195(constB130))))),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31612, 161])).
% 8.93/6.85 tff(31614,plain,
% 8.93/6.85 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB130) <=> v193(constB130))),
% 8.93/6.85 inference(quant_inst,[status(thm)],[])).
% 8.93/6.85 tff(31615,plain,
% 8.93/6.85 (v157(constB130) <=> v193(constB130)),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31614, 13])).
% 8.93/6.85 tff(31616,plain,
% 8.93/6.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB129, constB130)) | (v193(constB130) <=> v191(constB129)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB129, constB130)) | (v193(constB130) <=> v191(constB129)))),
% 8.93/6.85 inference(rewrite,[status(thm)],[])).
% 8.93/6.85 tff(31617,plain,
% 8.93/6.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB129, constB130)) | (v193(constB130) <=> v191(constB129)))),
% 8.93/6.85 inference(quant_inst,[status(thm)],[])).
% 8.93/6.85 tff(31618,plain,
% 8.93/6.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB129, constB130)) | (v193(constB130) <=> v191(constB129))),
% 8.93/6.85 inference(modus_ponens,[status(thm)],[31617, 31616])).
% 8.93/6.85 tff(31619,plain,
% 8.93/6.85 (v193(constB130) <=> v191(constB129)),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31618, 17089, 70])).
% 8.93/6.85 tff(31620,plain,
% 8.93/6.85 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB129) <=> (v194(constB129) | v198(constB129)))),
% 8.93/6.85 inference(quant_inst,[status(thm)],[])).
% 8.93/6.85 tff(31621,plain,
% 8.93/6.85 (v191(constB129) <=> (v194(constB129) | v198(constB129))),
% 8.93/6.85 inference(unit_resolution,[status(thm)],[31620, 84])).
% 8.93/6.85 tff(31622,plain,
% 8.93/6.85 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB129) <=> (~((~v157(constB129)) | (~v195(constB129)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB129) <=> (~((~v157(constB129)) | (~v195(constB129))))))),
% 8.93/6.85 inference(rewrite,[status(thm)],[])).
% 8.93/6.85 tff(31623,plain,
% 8.93/6.85 ((v194(constB129) <=> (~((~v195(constB129)) | (~v157(constB129))))) <=> (v194(constB129) <=> (~((~v157(constB129)) | (~v195(constB129)))))),
% 8.93/6.85 inference(rewrite,[status(thm)],[])).
% 8.93/6.85 tff(31624,plain,
% 8.93/6.85 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB129) <=> (~((~v195(constB129)) | (~v157(constB129)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB129) <=> (~((~v157(constB129)) | (~v195(constB129))))))),
% 8.93/6.85 inference(monotonicity,[status(thm)],[31623])).
% 8.93/6.85 tff(31625,plain,
% 8.93/6.85 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB129) <=> (~((~v195(constB129)) | (~v157(constB129)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB129) <=> (~((~v157(constB129)) | (~v195(constB129))))))),
% 8.93/6.86 inference(transitivity,[status(thm)],[31624, 31622])).
% 8.93/6.86 tff(31626,plain,
% 8.93/6.86 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB129) <=> (~((~v195(constB129)) | (~v157(constB129)))))),
% 8.93/6.86 inference(quant_inst,[status(thm)],[])).
% 8.93/6.86 tff(31627,plain,
% 8.93/6.86 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB129) <=> (~((~v157(constB129)) | (~v195(constB129)))))),
% 8.93/6.86 inference(modus_ponens,[status(thm)],[31626, 31625])).
% 8.93/6.86 tff(31628,plain,
% 8.93/6.86 (v194(constB129) <=> (~((~v157(constB129)) | (~v195(constB129))))),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31627, 161])).
% 8.93/6.86 tff(31629,plain,
% 8.93/6.86 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB129)) <=> v196(constB129))),
% 8.93/6.86 inference(quant_inst,[status(thm)],[])).
% 8.93/6.86 tff(31630,plain,
% 8.93/6.86 ((~v195(constB129)) <=> v196(constB129)),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31629, 193])).
% 8.93/6.86 tff(31631,plain,
% 8.93/6.86 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB129) <=> (v197(constB129) | v26(constB129)))),
% 8.93/6.86 inference(quant_inst,[status(thm)],[])).
% 8.93/6.86 tff(31632,plain,
% 8.93/6.86 (v196(constB129) <=> (v197(constB129) | v26(constB129))),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31631, 202])).
% 8.93/6.86 tff(31633,plain,
% 8.93/6.86 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB129) <=> (~((~v39(constB129)) | (~v9(constB129)))))),
% 8.93/6.86 inference(quant_inst,[status(thm)],[])).
% 8.93/6.86 tff(31634,plain,
% 8.93/6.86 (v197(constB129) <=> (~((~v39(constB129)) | (~v9(constB129))))),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31633, 120])).
% 8.93/6.86 tff(31635,plain,
% 8.93/6.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB129, constB130)) | (v13(constB130) <=> v9(constB129)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB129, constB130)) | (v13(constB130) <=> v9(constB129)))),
% 8.93/6.86 inference(rewrite,[status(thm)],[])).
% 8.93/6.86 tff(31636,plain,
% 8.93/6.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB129, constB130)) | (v13(constB130) <=> v9(constB129)))),
% 8.93/6.86 inference(quant_inst,[status(thm)],[])).
% 8.93/6.86 tff(31637,plain,
% 8.93/6.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB129, constB130)) | (v13(constB130) <=> v9(constB129))),
% 8.93/6.86 inference(modus_ponens,[status(thm)],[31636, 31635])).
% 8.93/6.86 tff(31638,plain,
% 8.93/6.86 (v13(constB130) <=> v9(constB129)),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31637, 17089, 216])).
% 8.93/6.86 tff(31639,plain,
% 8.93/6.86 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB130) <=> v13(constB130))),
% 8.93/6.86 inference(quant_inst,[status(thm)],[])).
% 8.93/6.86 tff(31640,plain,
% 8.93/6.86 (v6(constB130) <=> v13(constB130)),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31639, 230])).
% 8.93/6.86 tff(31641,plain,
% 8.93/6.86 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB130)) <=> v6(constB130))),
% 8.93/6.86 inference(quant_inst,[status(thm)],[])).
% 8.93/6.86 tff(31642,plain,
% 8.93/6.86 ((~v21(constB130)) <=> v6(constB130)),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31641, 239])).
% 8.93/6.86 tff(31643,plain,
% 8.93/6.86 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB130) <=> (v20(constB130) | v21(constB130)))),
% 8.93/6.86 inference(quant_inst,[status(thm)],[])).
% 8.93/6.86 tff(31644,plain,
% 8.93/6.86 (v19(constB130) <=> (v20(constB130) | v21(constB130))),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31643, 248])).
% 8.93/6.86 tff(31645,plain,
% 8.93/6.86 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB130) <=> (~((~v19(constB130)) | (~v22(constB130)))))),
% 8.93/6.86 inference(quant_inst,[status(thm)],[])).
% 8.93/6.86 tff(31646,plain,
% 8.93/6.86 (v18(constB130) <=> (~((~v19(constB130)) | (~v22(constB130))))),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31645, 260])).
% 8.93/6.86 tff(31647,plain,
% 8.93/6.86 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB130)) <=> v18(constB130))),
% 8.93/6.86 inference(quant_inst,[status(thm)],[])).
% 8.93/6.86 tff(31648,plain,
% 8.93/6.86 ((~v4(constB130)) <=> v18(constB130)),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31647, 269])).
% 8.93/6.86 tff(31649,plain,
% 8.93/6.86 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB130)),
% 8.93/6.86 inference(quant_inst,[status(thm)],[])).
% 8.93/6.86 tff(31650,plain,
% 8.93/6.86 (v4(constB130)),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31649, 278])).
% 8.93/6.86 tff(31651,plain,
% 8.93/6.86 ((~((~v4(constB130)) <=> v18(constB130))) | (~v4(constB130)) | (~v18(constB130))),
% 8.93/6.86 inference(tautology,[status(thm)],[])).
% 8.93/6.86 tff(31652,plain,
% 8.93/6.86 (~v18(constB130)),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31651, 31650, 31648])).
% 8.93/6.86 tff(31653,plain,
% 8.93/6.86 ((~(v18(constB130) <=> (~((~v19(constB130)) | (~v22(constB130)))))) | v18(constB130) | ((~v19(constB130)) | (~v22(constB130)))),
% 8.93/6.86 inference(tautology,[status(thm)],[])).
% 8.93/6.86 tff(31654,plain,
% 8.93/6.86 ((~v19(constB130)) | (~v22(constB130))),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31653, 31652, 31646])).
% 8.93/6.86 tff(31655,plain,
% 8.93/6.86 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB130) <=> (v1(constB130) | v6(constB130)))),
% 8.93/6.86 inference(quant_inst,[status(thm)],[])).
% 8.93/6.86 tff(31656,plain,
% 8.93/6.86 (v22(constB130) <=> (v1(constB130) | v6(constB130))),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31655, 291])).
% 8.93/6.86 tff(31657,plain,
% 8.93/6.86 ((v1(constB130) | v6(constB130)) | (~v1(constB130))),
% 8.93/6.86 inference(tautology,[status(thm)],[])).
% 8.93/6.86 tff(31658,plain,
% 8.93/6.86 (v1(constB130) | v6(constB130)),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31657, 18743])).
% 8.93/6.86 tff(31659,plain,
% 8.93/6.86 ((~(v22(constB130) <=> (v1(constB130) | v6(constB130)))) | v22(constB130) | (~(v1(constB130) | v6(constB130)))),
% 8.93/6.86 inference(tautology,[status(thm)],[])).
% 8.93/6.86 tff(31660,plain,
% 8.93/6.86 ((~(v22(constB130) <=> (v1(constB130) | v6(constB130)))) | v22(constB130)),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31659, 31658])).
% 8.93/6.86 tff(31661,plain,
% 8.93/6.86 (v22(constB130)),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31660, 31656])).
% 8.93/6.86 tff(31662,plain,
% 8.93/6.86 ((~((~v19(constB130)) | (~v22(constB130)))) | (~v19(constB130)) | (~v22(constB130))),
% 8.93/6.86 inference(tautology,[status(thm)],[])).
% 8.93/6.86 tff(31663,plain,
% 8.93/6.86 ((~((~v19(constB130)) | (~v22(constB130)))) | (~v19(constB130))),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31662, 31661])).
% 8.93/6.86 tff(31664,plain,
% 8.93/6.86 (~v19(constB130)),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31663, 31654])).
% 8.93/6.86 tff(31665,plain,
% 8.93/6.86 ((~(v19(constB130) <=> (v20(constB130) | v21(constB130)))) | v19(constB130) | (~(v20(constB130) | v21(constB130)))),
% 8.93/6.86 inference(tautology,[status(thm)],[])).
% 8.93/6.86 tff(31666,plain,
% 8.93/6.86 (~(v20(constB130) | v21(constB130))),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31665, 31664, 31644])).
% 8.93/6.86 tff(31667,plain,
% 8.93/6.86 ((v20(constB130) | v21(constB130)) | (~v21(constB130))),
% 8.93/6.86 inference(tautology,[status(thm)],[])).
% 8.93/6.86 tff(31668,plain,
% 8.93/6.86 (~v21(constB130)),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31667, 31666])).
% 8.93/6.86 tff(31669,plain,
% 8.93/6.86 ((~((~v21(constB130)) <=> v6(constB130))) | v21(constB130) | v6(constB130)),
% 8.93/6.86 inference(tautology,[status(thm)],[])).
% 8.93/6.86 tff(31670,plain,
% 8.93/6.86 (v6(constB130)),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31669, 31668, 31642])).
% 8.93/6.86 tff(31671,plain,
% 8.93/6.86 ((~(v6(constB130) <=> v13(constB130))) | (~v6(constB130)) | v13(constB130)),
% 8.93/6.86 inference(tautology,[status(thm)],[])).
% 8.93/6.86 tff(31672,plain,
% 8.93/6.86 (v13(constB130)),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31671, 31670, 31640])).
% 8.93/6.86 tff(31673,plain,
% 8.93/6.86 ((~(v13(constB130) <=> v9(constB129))) | (~v13(constB130)) | v9(constB129)),
% 8.93/6.86 inference(tautology,[status(thm)],[])).
% 8.93/6.86 tff(31674,plain,
% 8.93/6.86 (v9(constB129)),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31673, 31672, 31638])).
% 8.93/6.86 tff(31675,plain,
% 8.93/6.86 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB129)) <=> v1(constB129))),
% 8.93/6.86 inference(quant_inst,[status(thm)],[])).
% 8.93/6.86 tff(31676,plain,
% 8.93/6.86 ((~v39(constB129)) <=> v1(constB129)),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31675, 129])).
% 8.93/6.86 tff(31677,plain,
% 8.93/6.86 ((~((~v39(constB129)) <=> v1(constB129))) | v39(constB129) | v1(constB129)),
% 8.93/6.86 inference(tautology,[status(thm)],[])).
% 8.93/6.86 tff(31678,plain,
% 8.93/6.86 ((~((~v39(constB129)) <=> v1(constB129))) | v39(constB129)),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31677, 17133])).
% 8.93/6.86 tff(31679,plain,
% 8.93/6.86 (v39(constB129)),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31678, 31676])).
% 8.93/6.86 tff(31680,plain,
% 8.93/6.86 ((~((~v39(constB129)) | (~v9(constB129)))) | (~v39(constB129)) | (~v9(constB129))),
% 8.93/6.86 inference(tautology,[status(thm)],[])).
% 8.93/6.86 tff(31681,plain,
% 8.93/6.86 ((~((~v39(constB129)) | (~v9(constB129)))) | (~v9(constB129))),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31680, 31679])).
% 8.93/6.86 tff(31682,plain,
% 8.93/6.86 (~((~v39(constB129)) | (~v9(constB129)))),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31681, 31674])).
% 8.93/6.86 tff(31683,plain,
% 8.93/6.86 ((~(v197(constB129) <=> (~((~v39(constB129)) | (~v9(constB129)))))) | v197(constB129) | ((~v39(constB129)) | (~v9(constB129)))),
% 8.93/6.86 inference(tautology,[status(thm)],[])).
% 8.93/6.86 tff(31684,plain,
% 8.93/6.86 (v197(constB129)),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31683, 31682, 31634])).
% 8.93/6.86 tff(31685,plain,
% 8.93/6.86 ((v197(constB129) | v26(constB129)) | (~v197(constB129))),
% 8.93/6.86 inference(tautology,[status(thm)],[])).
% 8.93/6.86 tff(31686,plain,
% 8.93/6.86 (v197(constB129) | v26(constB129)),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31685, 31684])).
% 8.93/6.86 tff(31687,plain,
% 8.93/6.86 ((~(v196(constB129) <=> (v197(constB129) | v26(constB129)))) | v196(constB129) | (~(v197(constB129) | v26(constB129)))),
% 8.93/6.86 inference(tautology,[status(thm)],[])).
% 8.93/6.86 tff(31688,plain,
% 8.93/6.86 (v196(constB129)),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31687, 31686, 31632])).
% 8.93/6.86 tff(31689,plain,
% 8.93/6.86 ((~((~v195(constB129)) <=> v196(constB129))) | (~v195(constB129)) | (~v196(constB129))),
% 8.93/6.86 inference(tautology,[status(thm)],[])).
% 8.93/6.86 tff(31690,plain,
% 8.93/6.86 (~v195(constB129)),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31689, 31688, 31630])).
% 8.93/6.86 tff(31691,plain,
% 8.93/6.86 (((~v157(constB129)) | (~v195(constB129))) | v195(constB129)),
% 8.93/6.86 inference(tautology,[status(thm)],[])).
% 8.93/6.86 tff(31692,plain,
% 8.93/6.86 ((~v157(constB129)) | (~v195(constB129))),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31691, 31690])).
% 8.93/6.86 tff(31693,plain,
% 8.93/6.86 ((~(v194(constB129) <=> (~((~v157(constB129)) | (~v195(constB129)))))) | (~v194(constB129)) | (~((~v157(constB129)) | (~v195(constB129))))),
% 8.93/6.86 inference(tautology,[status(thm)],[])).
% 8.93/6.86 tff(31694,plain,
% 8.93/6.86 (~v194(constB129)),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31693, 31692, 31628])).
% 8.93/6.86 tff(31695,plain,
% 8.93/6.86 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB129) <=> (~((~v199(constB129)) | (~v200(constB129)))))),
% 8.93/6.86 inference(quant_inst,[status(thm)],[])).
% 8.93/6.86 tff(31696,plain,
% 8.93/6.86 (v198(constB129) <=> (~((~v199(constB129)) | (~v200(constB129))))),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31695, 96])).
% 8.93/6.86 tff(31697,plain,
% 8.93/6.86 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB129) <=> (~((~v197(constB129)) | (~v201(constB129)))))),
% 8.93/6.86 inference(quant_inst,[status(thm)],[])).
% 8.93/6.86 tff(31698,plain,
% 8.93/6.86 (v200(constB129) <=> (~((~v197(constB129)) | (~v201(constB129))))),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31697, 108])).
% 8.93/6.86 tff(31699,plain,
% 8.93/6.86 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB129) <=> (~((~v159(constB129)) | (~v161(constB129)))))),
% 8.93/6.86 inference(quant_inst,[status(thm)],[])).
% 8.93/6.86 tff(31700,plain,
% 8.93/6.86 (v201(constB129) <=> (~((~v159(constB129)) | (~v161(constB129))))),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31699, 348])).
% 8.93/6.86 tff(31701,plain,
% 8.93/6.86 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB129) <=> v163(constB129))),
% 8.93/6.86 inference(quant_inst,[status(thm)],[])).
% 8.93/6.86 tff(31702,plain,
% 8.93/6.86 (v161(constB129) <=> v163(constB129)),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31701, 357])).
% 8.93/6.86 tff(31703,plain,
% 8.93/6.86 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB129) <=> (v145(constB129) | v167(constB129)))),
% 8.93/6.86 inference(quant_inst,[status(thm)],[])).
% 8.93/6.86 tff(31704,plain,
% 8.93/6.86 (v166(constB129) <=> (v145(constB129) | v167(constB129))),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31703, 369])).
% 8.93/6.86 tff(31705,plain,
% 8.93/6.86 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB129) <=> (v142(constB129) | v168(constB129)))),
% 8.93/6.86 inference(quant_inst,[status(thm)],[])).
% 8.93/6.86 tff(31706,plain,
% 8.93/6.86 (v167(constB129) <=> (v142(constB129) | v168(constB129))),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31705, 381])).
% 8.93/6.86 tff(31707,plain,
% 8.93/6.86 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB129) <=> (v143(constB129) | v144(constB129)))),
% 8.93/6.86 inference(quant_inst,[status(thm)],[])).
% 8.93/6.86 tff(31708,plain,
% 8.93/6.86 (v142(constB129) <=> (v143(constB129) | v144(constB129))),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31707, 10332])).
% 8.93/6.86 tff(31709,plain,
% 8.93/6.86 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB129) <=> (~((~v88(constB129, bitIndex1)) | v88(constB129, bitIndex2) | v88(constB129, bitIndex0))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB129) <=> (~((~v88(constB129, bitIndex1)) | v88(constB129, bitIndex2) | v88(constB129, bitIndex0)))))),
% 8.93/6.86 inference(rewrite,[status(thm)],[])).
% 8.93/6.86 tff(31710,plain,
% 8.93/6.86 ((v143(constB129) <=> (~(v88(constB129, bitIndex0) | v88(constB129, bitIndex2) | (~v88(constB129, bitIndex1))))) <=> (v143(constB129) <=> (~((~v88(constB129, bitIndex1)) | v88(constB129, bitIndex2) | v88(constB129, bitIndex0))))),
% 8.93/6.86 inference(rewrite,[status(thm)],[])).
% 8.93/6.86 tff(31711,plain,
% 8.93/6.86 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB129) <=> (~(v88(constB129, bitIndex0) | v88(constB129, bitIndex2) | (~v88(constB129, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB129) <=> (~((~v88(constB129, bitIndex1)) | v88(constB129, bitIndex2) | v88(constB129, bitIndex0)))))),
% 8.93/6.86 inference(monotonicity,[status(thm)],[31710])).
% 8.93/6.86 tff(31712,plain,
% 8.93/6.86 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB129) <=> (~(v88(constB129, bitIndex0) | v88(constB129, bitIndex2) | (~v88(constB129, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB129) <=> (~((~v88(constB129, bitIndex1)) | v88(constB129, bitIndex2) | v88(constB129, bitIndex0)))))),
% 8.93/6.86 inference(transitivity,[status(thm)],[31711, 31709])).
% 8.93/6.86 tff(31713,plain,
% 8.93/6.86 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB129) <=> (~(v88(constB129, bitIndex0) | v88(constB129, bitIndex2) | (~v88(constB129, bitIndex1)))))),
% 8.93/6.86 inference(quant_inst,[status(thm)],[])).
% 8.93/6.86 tff(31714,plain,
% 8.93/6.86 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB129) <=> (~((~v88(constB129, bitIndex1)) | v88(constB129, bitIndex2) | v88(constB129, bitIndex0))))),
% 8.93/6.86 inference(modus_ponens,[status(thm)],[31713, 31712])).
% 8.93/6.86 tff(31715,plain,
% 8.93/6.86 (v143(constB129) <=> (~((~v88(constB129, bitIndex1)) | v88(constB129, bitIndex2) | v88(constB129, bitIndex0)))),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31714, 14770])).
% 8.93/6.86 tff(31716,plain,
% 8.93/6.86 ((~![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))) | (~(((~v88(constB129, bitIndex1)) <=> v90(constB129, bitIndex1)) | ((~v88(constB129, bitIndex2)) <=> v90(constB129, bitIndex2)) | ((~v88(constB129, bitIndex0)) <=> v90(constB129, bitIndex0))))),
% 8.93/6.86 inference(quant_inst,[status(thm)],[])).
% 8.93/6.86 tff(31717,plain,
% 8.93/6.86 (~(((~v88(constB129, bitIndex1)) <=> v90(constB129, bitIndex1)) | ((~v88(constB129, bitIndex2)) <=> v90(constB129, bitIndex2)) | ((~v88(constB129, bitIndex0)) <=> v90(constB129, bitIndex0)))),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31716, 428])).
% 8.93/6.86 tff(31718,plain,
% 8.93/6.86 ((((~v88(constB129, bitIndex1)) <=> v90(constB129, bitIndex1)) | ((~v88(constB129, bitIndex2)) <=> v90(constB129, bitIndex2)) | ((~v88(constB129, bitIndex0)) <=> v90(constB129, bitIndex0))) | (~((~v88(constB129, bitIndex2)) <=> v90(constB129, bitIndex2)))),
% 8.93/6.86 inference(tautology,[status(thm)],[])).
% 8.93/6.86 tff(31719,plain,
% 8.93/6.86 (~((~v88(constB129, bitIndex2)) <=> v90(constB129, bitIndex2))),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31718, 31717])).
% 8.93/6.86 tff(31720,plain,
% 8.93/6.86 (((~v88(constB129, bitIndex2)) <=> v90(constB129, bitIndex2)) | (~v88(constB129, bitIndex2)) | v90(constB129, bitIndex2)),
% 8.93/6.86 inference(tautology,[status(thm)],[])).
% 8.93/6.86 tff(31721,plain,
% 8.93/6.86 (~v88(constB129, bitIndex2)),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31720, 18665, 31719])).
% 8.93/6.86 tff(31722,plain,
% 8.93/6.86 ((((~v88(constB129, bitIndex1)) <=> v90(constB129, bitIndex1)) | ((~v88(constB129, bitIndex2)) <=> v90(constB129, bitIndex2)) | ((~v88(constB129, bitIndex0)) <=> v90(constB129, bitIndex0))) | (~((~v88(constB129, bitIndex0)) <=> v90(constB129, bitIndex0)))),
% 8.93/6.86 inference(tautology,[status(thm)],[])).
% 8.93/6.86 tff(31723,plain,
% 8.93/6.86 (~((~v88(constB129, bitIndex0)) <=> v90(constB129, bitIndex0))),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31722, 31717])).
% 8.93/6.86 tff(31724,plain,
% 8.93/6.86 (((~v88(constB129, bitIndex0)) <=> v90(constB129, bitIndex0)) | (~v88(constB129, bitIndex0)) | v90(constB129, bitIndex0)),
% 8.93/6.86 inference(tautology,[status(thm)],[])).
% 8.93/6.86 tff(31725,plain,
% 8.93/6.86 (~v88(constB129, bitIndex0)),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31724, 18683, 31723])).
% 8.93/6.86 tff(31726,plain,
% 8.93/6.86 ((((~v88(constB129, bitIndex1)) <=> v90(constB129, bitIndex1)) | ((~v88(constB129, bitIndex2)) <=> v90(constB129, bitIndex2)) | ((~v88(constB129, bitIndex0)) <=> v90(constB129, bitIndex0))) | (~((~v88(constB129, bitIndex1)) <=> v90(constB129, bitIndex1)))),
% 8.93/6.86 inference(tautology,[status(thm)],[])).
% 8.93/6.86 tff(31727,plain,
% 8.93/6.86 (~((~v88(constB129, bitIndex1)) <=> v90(constB129, bitIndex1))),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31726, 31717])).
% 8.93/6.86 tff(31728,plain,
% 8.93/6.86 (((~v88(constB129, bitIndex1)) <=> v90(constB129, bitIndex1)) | v88(constB129, bitIndex1) | (~v90(constB129, bitIndex1))),
% 8.93/6.86 inference(tautology,[status(thm)],[])).
% 8.93/6.86 tff(31729,plain,
% 8.93/6.86 (v88(constB129, bitIndex1)),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31728, 18701, 31727])).
% 8.93/6.86 tff(31730,plain,
% 8.93/6.86 ((~((~v88(constB129, bitIndex1)) | v88(constB129, bitIndex2) | v88(constB129, bitIndex0))) | (~v88(constB129, bitIndex1)) | v88(constB129, bitIndex2) | v88(constB129, bitIndex0)),
% 8.93/6.86 inference(tautology,[status(thm)],[])).
% 8.93/6.86 tff(31731,plain,
% 8.93/6.86 (~((~v88(constB129, bitIndex1)) | v88(constB129, bitIndex2) | v88(constB129, bitIndex0))),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31730, 31729, 31725, 31721])).
% 8.93/6.86 tff(31732,plain,
% 8.93/6.86 ((~(v143(constB129) <=> (~((~v88(constB129, bitIndex1)) | v88(constB129, bitIndex2) | v88(constB129, bitIndex0))))) | v143(constB129) | ((~v88(constB129, bitIndex1)) | v88(constB129, bitIndex2) | v88(constB129, bitIndex0))),
% 8.93/6.86 inference(tautology,[status(thm)],[])).
% 8.93/6.86 tff(31733,plain,
% 8.93/6.86 (v143(constB129)),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31732, 31731, 31715])).
% 8.93/6.86 tff(31734,plain,
% 8.93/6.86 ((v143(constB129) | v144(constB129)) | (~v143(constB129))),
% 8.93/6.86 inference(tautology,[status(thm)],[])).
% 8.93/6.86 tff(31735,plain,
% 8.93/6.86 (v143(constB129) | v144(constB129)),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31734, 31733])).
% 8.93/6.86 tff(31736,plain,
% 8.93/6.86 ((~(v142(constB129) <=> (v143(constB129) | v144(constB129)))) | v142(constB129) | (~(v143(constB129) | v144(constB129)))),
% 8.93/6.86 inference(tautology,[status(thm)],[])).
% 8.93/6.86 tff(31737,plain,
% 8.93/6.86 (v142(constB129)),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31736, 31735, 31708])).
% 8.93/6.86 tff(31738,plain,
% 8.93/6.86 ((v142(constB129) | v168(constB129)) | (~v142(constB129))),
% 8.93/6.86 inference(tautology,[status(thm)],[])).
% 8.93/6.86 tff(31739,plain,
% 8.93/6.86 (v142(constB129) | v168(constB129)),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31738, 31737])).
% 8.93/6.86 tff(31740,plain,
% 8.93/6.86 ((~(v167(constB129) <=> (v142(constB129) | v168(constB129)))) | v167(constB129) | (~(v142(constB129) | v168(constB129)))),
% 8.93/6.86 inference(tautology,[status(thm)],[])).
% 8.93/6.86 tff(31741,plain,
% 8.93/6.86 ((~(v167(constB129) <=> (v142(constB129) | v168(constB129)))) | v167(constB129)),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31740, 31739])).
% 8.93/6.86 tff(31742,plain,
% 8.93/6.86 (v167(constB129)),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31741, 31706])).
% 8.93/6.86 tff(31743,plain,
% 8.93/6.86 ((v145(constB129) | v167(constB129)) | (~v167(constB129))),
% 8.93/6.86 inference(tautology,[status(thm)],[])).
% 8.93/6.86 tff(31744,plain,
% 8.93/6.86 (v145(constB129) | v167(constB129)),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31743, 31742])).
% 8.93/6.86 tff(31745,plain,
% 8.93/6.86 ((~(v166(constB129) <=> (v145(constB129) | v167(constB129)))) | v166(constB129) | (~(v145(constB129) | v167(constB129)))),
% 8.93/6.86 inference(tautology,[status(thm)],[])).
% 8.93/6.86 tff(31746,plain,
% 8.93/6.86 (v166(constB129)),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31745, 31744, 31704])).
% 8.93/6.86 tff(31747,plain,
% 8.93/6.86 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB129)) | (v163(constB129) <=> v170(constB129)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB129)) | (v163(constB129) <=> v170(constB129)))),
% 8.93/6.86 inference(rewrite,[status(thm)],[])).
% 8.93/6.86 tff(31748,plain,
% 8.93/6.86 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB129)) | (v163(constB129) <=> v170(constB129)))),
% 8.93/6.86 inference(quant_inst,[status(thm)],[])).
% 8.93/6.86 tff(31749,plain,
% 8.93/6.86 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB129)) | (v163(constB129) <=> v170(constB129))),
% 8.93/6.86 inference(modus_ponens,[status(thm)],[31748, 31747])).
% 8.93/6.86 tff(31750,plain,
% 8.93/6.86 ((~v166(constB129)) | (v163(constB129) <=> v170(constB129))),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31749, 9851])).
% 8.93/6.86 tff(31751,plain,
% 8.93/6.86 (v163(constB129) <=> v170(constB129)),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31750, 31746])).
% 8.93/6.86 tff(31752,plain,
% 8.93/6.86 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB129) <=> (v142(constB129) | v150(constB129)))),
% 8.93/6.86 inference(quant_inst,[status(thm)],[])).
% 8.93/6.86 tff(31753,plain,
% 8.93/6.86 (v171(constB129) <=> (v142(constB129) | v150(constB129))),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31752, 9866])).
% 8.93/6.86 tff(31754,plain,
% 8.93/6.86 ((v142(constB129) | v150(constB129)) | (~v142(constB129))),
% 8.93/6.86 inference(tautology,[status(thm)],[])).
% 8.93/6.86 tff(31755,plain,
% 8.93/6.86 (v142(constB129) | v150(constB129)),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31754, 31737])).
% 8.93/6.86 tff(31756,plain,
% 8.93/6.86 ((~(v171(constB129) <=> (v142(constB129) | v150(constB129)))) | v171(constB129) | (~(v142(constB129) | v150(constB129)))),
% 8.93/6.86 inference(tautology,[status(thm)],[])).
% 8.93/6.86 tff(31757,plain,
% 8.93/6.86 ((~(v171(constB129) <=> (v142(constB129) | v150(constB129)))) | v171(constB129)),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31756, 31755])).
% 8.93/6.86 tff(31758,plain,
% 8.93/6.86 (v171(constB129)),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31757, 31753])).
% 8.93/6.86 tff(31759,plain,
% 8.93/6.86 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB129)) | (~v171(constB129)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB129)) | (~v171(constB129)))),
% 8.93/6.86 inference(rewrite,[status(thm)],[])).
% 8.93/6.86 tff(31760,plain,
% 8.93/6.86 (((~v171(constB129)) | (~v170(constB129))) <=> ((~v170(constB129)) | (~v171(constB129)))),
% 8.93/6.86 inference(rewrite,[status(thm)],[])).
% 8.93/6.86 tff(31761,plain,
% 8.93/6.86 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB129)) | (~v170(constB129)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB129)) | (~v171(constB129))))),
% 8.93/6.86 inference(monotonicity,[status(thm)],[31760])).
% 8.93/6.86 tff(31762,plain,
% 8.93/6.86 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB129)) | (~v170(constB129)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB129)) | (~v171(constB129)))),
% 8.93/6.86 inference(transitivity,[status(thm)],[31761, 31759])).
% 8.93/6.86 tff(31763,plain,
% 8.93/6.86 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB129)) | (~v170(constB129)))),
% 8.93/6.86 inference(quant_inst,[status(thm)],[])).
% 8.93/6.86 tff(31764,plain,
% 8.93/6.86 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB129)) | (~v171(constB129))),
% 8.93/6.86 inference(modus_ponens,[status(thm)],[31763, 31762])).
% 8.93/6.86 tff(31765,plain,
% 8.93/6.86 (~v170(constB129)),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31764, 9899, 31758])).
% 8.93/6.86 tff(31766,plain,
% 8.93/6.86 ((~(v163(constB129) <=> v170(constB129))) | (~v163(constB129)) | v170(constB129)),
% 8.93/6.86 inference(tautology,[status(thm)],[])).
% 8.93/6.86 tff(31767,plain,
% 8.93/6.86 (~v163(constB129)),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31766, 31765, 31751])).
% 8.93/6.86 tff(31768,plain,
% 8.93/6.86 ((~(v161(constB129) <=> v163(constB129))) | (~v161(constB129)) | v163(constB129)),
% 8.93/6.86 inference(tautology,[status(thm)],[])).
% 8.93/6.86 tff(31769,plain,
% 8.93/6.86 (~v161(constB129)),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31768, 31767, 31702])).
% 8.93/6.86 tff(31770,plain,
% 8.93/6.86 (((~v159(constB129)) | (~v161(constB129))) | v161(constB129)),
% 8.93/6.86 inference(tautology,[status(thm)],[])).
% 8.93/6.86 tff(31771,plain,
% 8.93/6.86 ((~v159(constB129)) | (~v161(constB129))),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31770, 31769])).
% 8.93/6.86 tff(31772,plain,
% 8.93/6.86 ((~(v201(constB129) <=> (~((~v159(constB129)) | (~v161(constB129)))))) | (~v201(constB129)) | (~((~v159(constB129)) | (~v161(constB129))))),
% 8.93/6.86 inference(tautology,[status(thm)],[])).
% 8.93/6.86 tff(31773,plain,
% 8.93/6.86 (~v201(constB129)),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31772, 31771, 31700])).
% 8.93/6.86 tff(31774,plain,
% 8.93/6.86 (((~v197(constB129)) | (~v201(constB129))) | v201(constB129)),
% 8.93/6.86 inference(tautology,[status(thm)],[])).
% 8.93/6.86 tff(31775,plain,
% 8.93/6.86 ((~v197(constB129)) | (~v201(constB129))),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31774, 31773])).
% 8.93/6.86 tff(31776,plain,
% 8.93/6.86 ((~(v200(constB129) <=> (~((~v197(constB129)) | (~v201(constB129)))))) | (~v200(constB129)) | (~((~v197(constB129)) | (~v201(constB129))))),
% 8.93/6.86 inference(tautology,[status(thm)],[])).
% 8.93/6.86 tff(31777,plain,
% 8.93/6.86 (~v200(constB129)),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31776, 31775, 31698])).
% 8.93/6.86 tff(31778,plain,
% 8.93/6.86 (((~v199(constB129)) | (~v200(constB129))) | v200(constB129)),
% 8.93/6.86 inference(tautology,[status(thm)],[])).
% 8.93/6.86 tff(31779,plain,
% 8.93/6.86 ((~v199(constB129)) | (~v200(constB129))),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31778, 31777])).
% 8.93/6.86 tff(31780,plain,
% 8.93/6.86 ((~(v198(constB129) <=> (~((~v199(constB129)) | (~v200(constB129)))))) | (~v198(constB129)) | (~((~v199(constB129)) | (~v200(constB129))))),
% 8.93/6.86 inference(tautology,[status(thm)],[])).
% 8.93/6.86 tff(31781,plain,
% 8.93/6.86 (~v198(constB129)),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31780, 31779, 31696])).
% 8.93/6.86 tff(31782,plain,
% 8.93/6.86 ((~(v194(constB129) | v198(constB129))) | v194(constB129) | v198(constB129)),
% 8.93/6.86 inference(tautology,[status(thm)],[])).
% 8.93/6.86 tff(31783,plain,
% 8.93/6.86 (~(v194(constB129) | v198(constB129))),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31782, 31781, 31694])).
% 8.93/6.86 tff(31784,plain,
% 8.93/6.86 ((~(v191(constB129) <=> (v194(constB129) | v198(constB129)))) | (~v191(constB129)) | (v194(constB129) | v198(constB129))),
% 8.93/6.86 inference(tautology,[status(thm)],[])).
% 8.93/6.86 tff(31785,plain,
% 8.93/6.86 (~v191(constB129)),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31784, 31783, 31621])).
% 8.93/6.86 tff(31786,plain,
% 8.93/6.86 ((~(v193(constB130) <=> v191(constB129))) | (~v193(constB130)) | v191(constB129)),
% 8.93/6.86 inference(tautology,[status(thm)],[])).
% 8.93/6.86 tff(31787,plain,
% 8.93/6.86 (~v193(constB130)),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31786, 31785, 31619])).
% 8.93/6.86 tff(31788,plain,
% 8.93/6.86 ((~(v157(constB130) <=> v193(constB130))) | (~v157(constB130)) | v193(constB130)),
% 8.93/6.86 inference(tautology,[status(thm)],[])).
% 8.93/6.86 tff(31789,plain,
% 8.93/6.86 (~v157(constB130)),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31788, 31787, 31615])).
% 8.93/6.86 tff(31790,plain,
% 8.93/6.86 (((~v157(constB130)) | (~v195(constB130))) | v157(constB130)),
% 8.93/6.86 inference(tautology,[status(thm)],[])).
% 8.93/6.86 tff(31791,plain,
% 8.93/6.86 ((~v157(constB130)) | (~v195(constB130))),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31790, 31789])).
% 8.93/6.86 tff(31792,plain,
% 8.93/6.86 ((~(v194(constB130) <=> (~((~v157(constB130)) | (~v195(constB130)))))) | (~v194(constB130)) | (~((~v157(constB130)) | (~v195(constB130))))),
% 8.93/6.86 inference(tautology,[status(thm)],[])).
% 8.93/6.86 tff(31793,plain,
% 8.93/6.86 (~v194(constB130)),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31792, 31791, 31613])).
% 8.93/6.86 tff(31794,plain,
% 8.93/6.86 ((~(v194(constB130) | v198(constB130))) | v194(constB130) | v198(constB130)),
% 8.93/6.86 inference(tautology,[status(thm)],[])).
% 8.93/6.86 tff(31795,plain,
% 8.93/6.86 (~(v194(constB130) | v198(constB130))),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31794, 31793, 31606])).
% 8.93/6.86 tff(31796,plain,
% 8.93/6.86 ((~(v191(constB130) <=> (v194(constB130) | v198(constB130)))) | (~v191(constB130)) | (v194(constB130) | v198(constB130))),
% 8.93/6.86 inference(tautology,[status(thm)],[])).
% 8.93/6.86 tff(31797,plain,
% 8.93/6.86 (~v191(constB130)),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31796, 31795, 31581])).
% 8.93/6.86 tff(31798,plain,
% 8.93/6.86 ((~(v193(constB131) <=> v191(constB130))) | (~v193(constB131)) | v191(constB130)),
% 8.93/6.86 inference(tautology,[status(thm)],[])).
% 8.93/6.86 tff(31799,plain,
% 8.93/6.86 (~v193(constB131)),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31798, 31797, 31579])).
% 8.93/6.86 tff(31800,plain,
% 8.93/6.86 ($false),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31799, 31575])).
% 8.93/6.86 tff(31801,plain,(~(constB131 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.93/6.86 tff(31802,assumption,(constB85 = VarCurr!0), introduced(assumption)).
% 8.93/6.86 tff(31803,plain,
% 8.93/6.86 (v86(constB85) <=> v86(VarCurr!0)),
% 8.93/6.86 inference(monotonicity,[status(thm)],[31802])).
% 8.93/6.86 tff(31804,plain,
% 8.93/6.86 (v86(VarCurr!0) <=> v86(constB85)),
% 8.93/6.86 inference(symmetry,[status(thm)],[31803])).
% 8.93/6.86 tff(31805,plain,
% 8.93/6.86 ((~v86(VarCurr!0)) <=> (~v86(constB85))),
% 8.93/6.86 inference(monotonicity,[status(thm)],[31804])).
% 8.93/6.86 tff(31806,plain,
% 8.93/6.86 (~v86(constB85)),
% 8.93/6.86 inference(modus_ponens,[status(thm)],[14736, 31805])).
% 8.93/6.86 tff(31807,plain,
% 8.93/6.86 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB85) <=> (v136(constB85) | v145(constB85)))),
% 8.93/6.86 inference(quant_inst,[status(thm)],[])).
% 8.93/6.86 tff(31808,plain,
% 8.93/6.86 (v135(constB85) <=> (v136(constB85) | v145(constB85))),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31807, 14744])).
% 8.93/6.86 tff(31809,plain,
% 8.93/6.86 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB85) <=> (v137(constB85) | v142(constB85)))),
% 8.93/6.86 inference(quant_inst,[status(thm)],[])).
% 8.93/6.86 tff(31810,plain,
% 8.93/6.86 (v136(constB85) <=> (v137(constB85) | v142(constB85))),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31809, 14753])).
% 8.93/6.86 tff(31811,plain,
% 8.93/6.86 ((v137(constB85) | v142(constB85)) | (~v142(constB85))),
% 8.93/6.86 inference(tautology,[status(thm)],[])).
% 8.93/6.86 tff(31812,plain,
% 8.93/6.86 (v137(constB85) | v142(constB85)),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31811, 26623])).
% 8.93/6.86 tff(31813,plain,
% 8.93/6.86 ((~(v136(constB85) <=> (v137(constB85) | v142(constB85)))) | v136(constB85) | (~(v137(constB85) | v142(constB85)))),
% 8.93/6.86 inference(tautology,[status(thm)],[])).
% 8.93/6.86 tff(31814,plain,
% 8.93/6.86 ((~(v136(constB85) <=> (v137(constB85) | v142(constB85)))) | v136(constB85)),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31813, 31812])).
% 8.93/6.86 tff(31815,plain,
% 8.93/6.86 (v136(constB85)),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31814, 31810])).
% 8.93/6.86 tff(31816,plain,
% 8.93/6.86 ((v136(constB85) | v145(constB85)) | (~v136(constB85))),
% 8.93/6.86 inference(tautology,[status(thm)],[])).
% 8.93/6.86 tff(31817,plain,
% 8.93/6.86 (v136(constB85) | v145(constB85)),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31816, 31815])).
% 8.93/6.86 tff(31818,plain,
% 8.93/6.86 ((~(v135(constB85) <=> (v136(constB85) | v145(constB85)))) | v135(constB85) | (~(v136(constB85) | v145(constB85)))),
% 8.93/6.86 inference(tautology,[status(thm)],[])).
% 8.93/6.86 tff(31819,plain,
% 8.93/6.86 (v135(constB85)),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31818, 31817, 31808])).
% 8.93/6.86 tff(31820,plain,
% 8.93/6.86 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB85)) | (v86(constB85) <=> v148(constB85)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB85)) | (v86(constB85) <=> v148(constB85)))),
% 8.93/6.86 inference(rewrite,[status(thm)],[])).
% 8.93/6.86 tff(31821,plain,
% 8.93/6.86 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB85)) | (v86(constB85) <=> v148(constB85)))),
% 8.93/6.86 inference(quant_inst,[status(thm)],[])).
% 8.93/6.86 tff(31822,plain,
% 8.93/6.86 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB85)) | (v86(constB85) <=> v148(constB85))),
% 8.93/6.86 inference(modus_ponens,[status(thm)],[31821, 31820])).
% 8.93/6.86 tff(31823,plain,
% 8.93/6.86 (v86(constB85) <=> v148(constB85)),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31822, 14818, 31819])).
% 8.93/6.86 tff(31824,plain,
% 8.93/6.86 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB85) | (~v142(constB85)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB85) | (~v142(constB85)))),
% 8.93/6.86 inference(rewrite,[status(thm)],[])).
% 8.93/6.86 tff(31825,plain,
% 8.93/6.86 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB85) | (~v142(constB85)))),
% 8.93/6.86 inference(quant_inst,[status(thm)],[])).
% 8.93/6.86 tff(31826,plain,
% 8.93/6.86 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB85) | (~v142(constB85))),
% 8.93/6.86 inference(modus_ponens,[status(thm)],[31825, 31824])).
% 8.93/6.86 tff(31827,plain,
% 8.93/6.86 (v148(constB85)),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31826, 14832, 26623])).
% 8.93/6.86 tff(31828,plain,
% 8.93/6.86 ((~(v86(constB85) <=> v148(constB85))) | v86(constB85) | (~v148(constB85))),
% 8.93/6.86 inference(tautology,[status(thm)],[])).
% 8.93/6.86 tff(31829,plain,
% 8.93/6.86 ((~(v86(constB85) <=> v148(constB85))) | v86(constB85)),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31828, 31827])).
% 8.93/6.86 tff(31830,plain,
% 8.93/6.86 (v86(constB85)),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31829, 31823])).
% 8.93/6.86 tff(31831,plain,
% 8.93/6.86 ($false),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31830, 31806])).
% 8.93/6.86 tff(31832,plain,(~(constB85 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.93/6.86 tff(31833,assumption,(constB189 = VarCurr!0), introduced(assumption)).
% 8.93/6.86 tff(31834,plain,
% 8.93/6.86 (v86(constB189) <=> v86(VarCurr!0)),
% 8.93/6.86 inference(monotonicity,[status(thm)],[31833])).
% 8.93/6.86 tff(31835,plain,
% 8.93/6.86 (v86(VarCurr!0) <=> v86(constB189)),
% 8.93/6.86 inference(symmetry,[status(thm)],[31834])).
% 8.93/6.86 tff(31836,plain,
% 8.93/6.86 ((~v86(VarCurr!0)) <=> (~v86(constB189))),
% 8.93/6.86 inference(monotonicity,[status(thm)],[31835])).
% 8.93/6.86 tff(31837,plain,
% 8.93/6.86 (~v86(constB189)),
% 8.93/6.86 inference(modus_ponens,[status(thm)],[14736, 31836])).
% 8.93/6.86 tff(31838,plain,
% 8.93/6.86 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB189) <=> (v136(constB189) | v145(constB189)))),
% 8.93/6.86 inference(quant_inst,[status(thm)],[])).
% 8.93/6.86 tff(31839,plain,
% 8.93/6.86 (v135(constB189) <=> (v136(constB189) | v145(constB189))),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31838, 14744])).
% 8.93/6.86 tff(31840,plain,
% 8.93/6.86 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB189) <=> (v137(constB189) | v142(constB189)))),
% 8.93/6.86 inference(quant_inst,[status(thm)],[])).
% 8.93/6.86 tff(31841,plain,
% 8.93/6.86 (v136(constB189) <=> (v137(constB189) | v142(constB189))),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31840, 14753])).
% 8.93/6.86 tff(31842,plain,
% 8.93/6.86 ((v137(constB189) | v142(constB189)) | (~v142(constB189))),
% 8.93/6.86 inference(tautology,[status(thm)],[])).
% 8.93/6.86 tff(31843,plain,
% 8.93/6.86 (v137(constB189) | v142(constB189)),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31842, 25312])).
% 8.93/6.86 tff(31844,plain,
% 8.93/6.86 ((~(v136(constB189) <=> (v137(constB189) | v142(constB189)))) | v136(constB189) | (~(v137(constB189) | v142(constB189)))),
% 8.93/6.86 inference(tautology,[status(thm)],[])).
% 8.93/6.86 tff(31845,plain,
% 8.93/6.86 ((~(v136(constB189) <=> (v137(constB189) | v142(constB189)))) | v136(constB189)),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31844, 31843])).
% 8.93/6.86 tff(31846,plain,
% 8.93/6.86 (v136(constB189)),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31845, 31841])).
% 8.93/6.86 tff(31847,plain,
% 8.93/6.86 ((v136(constB189) | v145(constB189)) | (~v136(constB189))),
% 8.93/6.86 inference(tautology,[status(thm)],[])).
% 8.93/6.86 tff(31848,plain,
% 8.93/6.86 (v136(constB189) | v145(constB189)),
% 8.93/6.86 inference(unit_resolution,[status(thm)],[31847, 31846])).
% 8.93/6.86 tff(31849,plain,
% 8.93/6.86 ((~(v135(constB189) <=> (v136(constB189) | v145(constB189)))) | v135(constB189) | (~(v136(constB189) | v145(constB189)))),
% 8.93/6.86 inference(tautology,[status(thm)],[])).
% 8.93/6.87 tff(31850,plain,
% 8.93/6.87 (v135(constB189)),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[31849, 31848, 31839])).
% 8.93/6.87 tff(31851,plain,
% 8.93/6.87 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB189)) | (v86(constB189) <=> v148(constB189)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB189)) | (v86(constB189) <=> v148(constB189)))),
% 8.93/6.87 inference(rewrite,[status(thm)],[])).
% 8.93/6.87 tff(31852,plain,
% 8.93/6.87 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB189)) | (v86(constB189) <=> v148(constB189)))),
% 8.93/6.87 inference(quant_inst,[status(thm)],[])).
% 8.93/6.87 tff(31853,plain,
% 8.93/6.87 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB189)) | (v86(constB189) <=> v148(constB189))),
% 8.93/6.87 inference(modus_ponens,[status(thm)],[31852, 31851])).
% 8.93/6.87 tff(31854,plain,
% 8.93/6.87 (v86(constB189) <=> v148(constB189)),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[31853, 14818, 31850])).
% 8.93/6.87 tff(31855,plain,
% 8.93/6.87 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB189) | (~v142(constB189)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB189) | (~v142(constB189)))),
% 8.93/6.87 inference(rewrite,[status(thm)],[])).
% 8.93/6.87 tff(31856,plain,
% 8.93/6.87 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB189) | (~v142(constB189)))),
% 8.93/6.87 inference(quant_inst,[status(thm)],[])).
% 8.93/6.87 tff(31857,plain,
% 8.93/6.87 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB189) | (~v142(constB189))),
% 8.93/6.87 inference(modus_ponens,[status(thm)],[31856, 31855])).
% 8.93/6.87 tff(31858,plain,
% 8.93/6.87 (v148(constB189)),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[31857, 14832, 25312])).
% 8.93/6.87 tff(31859,plain,
% 8.93/6.87 ((~(v86(constB189) <=> v148(constB189))) | v86(constB189) | (~v148(constB189))),
% 8.93/6.87 inference(tautology,[status(thm)],[])).
% 8.93/6.87 tff(31860,plain,
% 8.93/6.87 ((~(v86(constB189) <=> v148(constB189))) | v86(constB189)),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[31859, 31858])).
% 8.93/6.87 tff(31861,plain,
% 8.93/6.87 (v86(constB189)),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[31860, 31854])).
% 8.93/6.87 tff(31862,plain,
% 8.93/6.87 ($false),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[31861, 31837])).
% 8.93/6.87 tff(31863,plain,(~(constB189 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.93/6.87 tff(31864,assumption,(constB167 = VarCurr!0), introduced(assumption)).
% 8.93/6.87 tff(31865,plain,
% 8.93/6.87 (v193(constB167) <=> v193(VarCurr!0)),
% 8.93/6.87 inference(monotonicity,[status(thm)],[31864])).
% 8.93/6.87 tff(31866,plain,
% 8.93/6.87 (v193(VarCurr!0) <=> v193(constB167)),
% 8.93/6.87 inference(symmetry,[status(thm)],[31865])).
% 8.93/6.87 tff(31867,plain,
% 8.93/6.87 (v193(constB167)),
% 8.93/6.87 inference(modus_ponens,[status(thm)],[59, 31866])).
% 8.93/6.87 tff(31868,plain,
% 8.93/6.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB166, constB167)) | (v193(constB167) <=> v191(constB166)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB166, constB167)) | (v193(constB167) <=> v191(constB166)))),
% 8.93/6.87 inference(rewrite,[status(thm)],[])).
% 8.93/6.87 tff(31869,plain,
% 8.93/6.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB166, constB167)) | (v193(constB167) <=> v191(constB166)))),
% 8.93/6.87 inference(quant_inst,[status(thm)],[])).
% 8.93/6.87 tff(31870,plain,
% 8.93/6.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB166, constB167)) | (v193(constB167) <=> v191(constB166))),
% 8.93/6.87 inference(modus_ponens,[status(thm)],[31869, 31868])).
% 8.93/6.87 tff(31871,plain,
% 8.93/6.87 (v193(constB167) <=> v191(constB166)),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[31870, 15900, 70])).
% 8.93/6.87 tff(31872,plain,
% 8.93/6.87 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB166) <=> (v194(constB166) | v198(constB166)))),
% 8.93/6.87 inference(quant_inst,[status(thm)],[])).
% 8.93/6.87 tff(31873,plain,
% 8.93/6.87 (v191(constB166) <=> (v194(constB166) | v198(constB166))),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[31872, 84])).
% 8.93/6.87 tff(31874,plain,
% 8.93/6.87 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB166) <=> (~((~v199(constB166)) | (~v200(constB166)))))),
% 8.93/6.87 inference(quant_inst,[status(thm)],[])).
% 8.93/6.87 tff(31875,plain,
% 8.93/6.87 (v198(constB166) <=> (~((~v199(constB166)) | (~v200(constB166))))),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[31874, 96])).
% 8.93/6.87 tff(31876,plain,
% 8.93/6.87 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB166) <=> (~((~v197(constB166)) | (~v201(constB166)))))),
% 8.93/6.87 inference(quant_inst,[status(thm)],[])).
% 8.93/6.87 tff(31877,plain,
% 8.93/6.87 (v200(constB166) <=> (~((~v197(constB166)) | (~v201(constB166))))),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[31876, 108])).
% 8.93/6.87 tff(31878,plain,
% 8.93/6.87 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB166) <=> (~((~v39(constB166)) | (~v9(constB166)))))),
% 8.93/6.87 inference(quant_inst,[status(thm)],[])).
% 8.93/6.87 tff(31879,plain,
% 8.93/6.87 (v197(constB166) <=> (~((~v39(constB166)) | (~v9(constB166))))),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[31878, 120])).
% 8.93/6.87 tff(31880,plain,
% 8.93/6.87 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB166)) <=> v1(constB166))),
% 8.93/6.87 inference(quant_inst,[status(thm)],[])).
% 8.93/6.87 tff(31881,plain,
% 8.93/6.87 ((~v39(constB166)) <=> v1(constB166)),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[31880, 129])).
% 8.93/6.87 tff(31882,plain,
% 8.93/6.87 ((~((~v39(constB166)) <=> v1(constB166))) | (~v39(constB166)) | (~v1(constB166))),
% 8.93/6.87 inference(tautology,[status(thm)],[])).
% 8.93/6.87 tff(31883,plain,
% 8.93/6.87 ((~((~v39(constB166)) <=> v1(constB166))) | (~v39(constB166))),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[31882, 21625])).
% 8.93/6.87 tff(31884,plain,
% 8.93/6.87 (~v39(constB166)),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[31883, 31881])).
% 8.93/6.87 tff(31885,plain,
% 8.93/6.87 (((~v39(constB166)) | (~v9(constB166))) | v39(constB166)),
% 8.93/6.87 inference(tautology,[status(thm)],[])).
% 8.93/6.87 tff(31886,plain,
% 8.93/6.87 ((~v39(constB166)) | (~v9(constB166))),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[31885, 31884])).
% 8.93/6.87 tff(31887,plain,
% 8.93/6.87 ((~(v197(constB166) <=> (~((~v39(constB166)) | (~v9(constB166)))))) | (~v197(constB166)) | (~((~v39(constB166)) | (~v9(constB166))))),
% 8.93/6.87 inference(tautology,[status(thm)],[])).
% 8.93/6.87 tff(31888,plain,
% 8.93/6.87 ((~(v197(constB166) <=> (~((~v39(constB166)) | (~v9(constB166)))))) | (~v197(constB166))),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[31887, 31886])).
% 8.93/6.87 tff(31889,plain,
% 8.93/6.87 (~v197(constB166)),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[31888, 31879])).
% 8.93/6.87 tff(31890,plain,
% 8.93/6.87 (((~v197(constB166)) | (~v201(constB166))) | v197(constB166)),
% 8.93/6.87 inference(tautology,[status(thm)],[])).
% 8.93/6.87 tff(31891,plain,
% 8.93/6.87 ((~v197(constB166)) | (~v201(constB166))),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[31890, 31889])).
% 8.93/6.87 tff(31892,plain,
% 8.93/6.87 ((~(v200(constB166) <=> (~((~v197(constB166)) | (~v201(constB166)))))) | (~v200(constB166)) | (~((~v197(constB166)) | (~v201(constB166))))),
% 8.93/6.87 inference(tautology,[status(thm)],[])).
% 8.93/6.87 tff(31893,plain,
% 8.93/6.87 ((~(v200(constB166) <=> (~((~v197(constB166)) | (~v201(constB166)))))) | (~v200(constB166))),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[31892, 31891])).
% 8.93/6.87 tff(31894,plain,
% 8.93/6.87 (~v200(constB166)),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[31893, 31877])).
% 8.93/6.87 tff(31895,plain,
% 8.93/6.87 (((~v199(constB166)) | (~v200(constB166))) | v200(constB166)),
% 8.93/6.87 inference(tautology,[status(thm)],[])).
% 8.93/6.87 tff(31896,plain,
% 8.93/6.87 ((~v199(constB166)) | (~v200(constB166))),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[31895, 31894])).
% 8.93/6.87 tff(31897,plain,
% 8.93/6.87 ((~(v198(constB166) <=> (~((~v199(constB166)) | (~v200(constB166)))))) | (~v198(constB166)) | (~((~v199(constB166)) | (~v200(constB166))))),
% 8.93/6.87 inference(tautology,[status(thm)],[])).
% 8.93/6.87 tff(31898,plain,
% 8.93/6.87 (~v198(constB166)),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[31897, 31896, 31875])).
% 8.93/6.87 tff(31899,plain,
% 8.93/6.87 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB166) <=> (~((~v157(constB166)) | (~v195(constB166)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB166) <=> (~((~v157(constB166)) | (~v195(constB166))))))),
% 8.93/6.87 inference(rewrite,[status(thm)],[])).
% 8.93/6.87 tff(31900,plain,
% 8.93/6.87 ((v194(constB166) <=> (~((~v195(constB166)) | (~v157(constB166))))) <=> (v194(constB166) <=> (~((~v157(constB166)) | (~v195(constB166)))))),
% 8.93/6.87 inference(rewrite,[status(thm)],[])).
% 8.93/6.87 tff(31901,plain,
% 8.93/6.87 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB166) <=> (~((~v195(constB166)) | (~v157(constB166)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB166) <=> (~((~v157(constB166)) | (~v195(constB166))))))),
% 8.93/6.87 inference(monotonicity,[status(thm)],[31900])).
% 8.93/6.87 tff(31902,plain,
% 8.93/6.87 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB166) <=> (~((~v195(constB166)) | (~v157(constB166)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB166) <=> (~((~v157(constB166)) | (~v195(constB166))))))),
% 8.93/6.87 inference(transitivity,[status(thm)],[31901, 31899])).
% 8.93/6.87 tff(31903,plain,
% 8.93/6.87 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB166) <=> (~((~v195(constB166)) | (~v157(constB166)))))),
% 8.93/6.87 inference(quant_inst,[status(thm)],[])).
% 8.93/6.87 tff(31904,plain,
% 8.93/6.87 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB166) <=> (~((~v157(constB166)) | (~v195(constB166)))))),
% 8.93/6.87 inference(modus_ponens,[status(thm)],[31903, 31902])).
% 8.93/6.87 tff(31905,plain,
% 8.93/6.87 (v194(constB166) <=> (~((~v157(constB166)) | (~v195(constB166))))),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[31904, 161])).
% 8.93/6.87 tff(31906,plain,
% 8.93/6.87 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB166) <=> v193(constB166))),
% 8.93/6.87 inference(quant_inst,[status(thm)],[])).
% 8.93/6.87 tff(31907,plain,
% 8.93/6.87 (v157(constB166) <=> v193(constB166)),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[31906, 13])).
% 8.93/6.87 tff(31908,plain,
% 8.93/6.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB165, constB166)) | (v193(constB166) <=> v191(constB165)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB165, constB166)) | (v193(constB166) <=> v191(constB165)))),
% 8.93/6.87 inference(rewrite,[status(thm)],[])).
% 8.93/6.87 tff(31909,plain,
% 8.93/6.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB165, constB166)) | (v193(constB166) <=> v191(constB165)))),
% 8.93/6.87 inference(quant_inst,[status(thm)],[])).
% 8.93/6.87 tff(31910,plain,
% 8.93/6.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB165, constB166)) | (v193(constB166) <=> v191(constB165))),
% 8.93/6.87 inference(modus_ponens,[status(thm)],[31909, 31908])).
% 8.93/6.87 tff(31911,plain,
% 8.93/6.87 (v193(constB166) <=> v191(constB165)),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[31910, 15936, 70])).
% 8.93/6.87 tff(31912,plain,
% 8.93/6.87 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB165) <=> (v194(constB165) | v198(constB165)))),
% 8.93/6.87 inference(quant_inst,[status(thm)],[])).
% 8.93/6.87 tff(31913,plain,
% 8.93/6.87 (v191(constB165) <=> (v194(constB165) | v198(constB165))),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[31912, 84])).
% 8.93/6.87 tff(31914,plain,
% 8.93/6.87 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB165) <=> (~((~v157(constB165)) | (~v195(constB165)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB165) <=> (~((~v157(constB165)) | (~v195(constB165))))))),
% 8.93/6.87 inference(rewrite,[status(thm)],[])).
% 8.93/6.87 tff(31915,plain,
% 8.93/6.87 ((v194(constB165) <=> (~((~v195(constB165)) | (~v157(constB165))))) <=> (v194(constB165) <=> (~((~v157(constB165)) | (~v195(constB165)))))),
% 8.93/6.87 inference(rewrite,[status(thm)],[])).
% 8.93/6.87 tff(31916,plain,
% 8.93/6.87 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB165) <=> (~((~v195(constB165)) | (~v157(constB165)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB165) <=> (~((~v157(constB165)) | (~v195(constB165))))))),
% 8.93/6.87 inference(monotonicity,[status(thm)],[31915])).
% 8.93/6.87 tff(31917,plain,
% 8.93/6.87 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB165) <=> (~((~v195(constB165)) | (~v157(constB165)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB165) <=> (~((~v157(constB165)) | (~v195(constB165))))))),
% 8.93/6.87 inference(transitivity,[status(thm)],[31916, 31914])).
% 8.93/6.87 tff(31918,plain,
% 8.93/6.87 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB165) <=> (~((~v195(constB165)) | (~v157(constB165)))))),
% 8.93/6.87 inference(quant_inst,[status(thm)],[])).
% 8.93/6.87 tff(31919,plain,
% 8.93/6.87 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB165) <=> (~((~v157(constB165)) | (~v195(constB165)))))),
% 8.93/6.87 inference(modus_ponens,[status(thm)],[31918, 31917])).
% 8.93/6.87 tff(31920,plain,
% 8.93/6.87 (v194(constB165) <=> (~((~v157(constB165)) | (~v195(constB165))))),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[31919, 161])).
% 8.93/6.87 tff(31921,plain,
% 8.93/6.87 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB165)) <=> v196(constB165))),
% 8.93/6.87 inference(quant_inst,[status(thm)],[])).
% 8.93/6.87 tff(31922,plain,
% 8.93/6.87 ((~v195(constB165)) <=> v196(constB165)),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[31921, 193])).
% 8.93/6.87 tff(31923,plain,
% 8.93/6.87 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB165) <=> (v197(constB165) | v26(constB165)))),
% 8.93/6.87 inference(quant_inst,[status(thm)],[])).
% 8.93/6.87 tff(31924,plain,
% 8.93/6.87 (v196(constB165) <=> (v197(constB165) | v26(constB165))),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[31923, 202])).
% 8.93/6.87 tff(31925,plain,
% 8.93/6.87 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB165) <=> (~((~v39(constB165)) | (~v9(constB165)))))),
% 8.93/6.87 inference(quant_inst,[status(thm)],[])).
% 8.93/6.87 tff(31926,plain,
% 8.93/6.87 (v197(constB165) <=> (~((~v39(constB165)) | (~v9(constB165))))),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[31925, 120])).
% 8.93/6.87 tff(31927,plain,
% 8.93/6.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB165, constB166)) | (v13(constB166) <=> v9(constB165)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB165, constB166)) | (v13(constB166) <=> v9(constB165)))),
% 8.93/6.87 inference(rewrite,[status(thm)],[])).
% 8.93/6.87 tff(31928,plain,
% 8.93/6.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB165, constB166)) | (v13(constB166) <=> v9(constB165)))),
% 8.93/6.87 inference(quant_inst,[status(thm)],[])).
% 8.93/6.87 tff(31929,plain,
% 8.93/6.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB165, constB166)) | (v13(constB166) <=> v9(constB165))),
% 8.93/6.87 inference(modus_ponens,[status(thm)],[31928, 31927])).
% 8.93/6.87 tff(31930,plain,
% 8.93/6.87 (v13(constB166) <=> v9(constB165)),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[31929, 15936, 216])).
% 8.93/6.87 tff(31931,plain,
% 8.93/6.87 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB166) <=> v13(constB166))),
% 8.93/6.87 inference(quant_inst,[status(thm)],[])).
% 8.93/6.87 tff(31932,plain,
% 8.93/6.87 (v6(constB166) <=> v13(constB166)),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[31931, 230])).
% 8.93/6.87 tff(31933,plain,
% 8.93/6.87 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB166)) <=> v6(constB166))),
% 8.93/6.87 inference(quant_inst,[status(thm)],[])).
% 8.93/6.87 tff(31934,plain,
% 8.93/6.87 ((~v21(constB166)) <=> v6(constB166)),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[31933, 239])).
% 8.93/6.87 tff(31935,plain,
% 8.93/6.87 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB166) <=> (v20(constB166) | v21(constB166)))),
% 8.93/6.87 inference(quant_inst,[status(thm)],[])).
% 8.93/6.87 tff(31936,plain,
% 8.93/6.87 (v19(constB166) <=> (v20(constB166) | v21(constB166))),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[31935, 248])).
% 8.93/6.87 tff(31937,plain,
% 8.93/6.87 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB166) <=> (~((~v19(constB166)) | (~v22(constB166)))))),
% 8.93/6.87 inference(quant_inst,[status(thm)],[])).
% 8.93/6.87 tff(31938,plain,
% 8.93/6.87 (v18(constB166) <=> (~((~v19(constB166)) | (~v22(constB166))))),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[31937, 260])).
% 8.93/6.87 tff(31939,plain,
% 8.93/6.87 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB166)) <=> v18(constB166))),
% 8.93/6.87 inference(quant_inst,[status(thm)],[])).
% 8.93/6.87 tff(31940,plain,
% 8.93/6.87 ((~v4(constB166)) <=> v18(constB166)),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[31939, 269])).
% 8.93/6.87 tff(31941,plain,
% 8.93/6.87 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB166)),
% 8.93/6.87 inference(quant_inst,[status(thm)],[])).
% 8.93/6.87 tff(31942,plain,
% 8.93/6.87 (v4(constB166)),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[31941, 278])).
% 8.93/6.87 tff(31943,plain,
% 8.93/6.87 ((~((~v4(constB166)) <=> v18(constB166))) | (~v4(constB166)) | (~v18(constB166))),
% 8.93/6.87 inference(tautology,[status(thm)],[])).
% 8.93/6.87 tff(31944,plain,
% 8.93/6.87 (~v18(constB166)),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[31943, 31942, 31940])).
% 8.93/6.87 tff(31945,plain,
% 8.93/6.87 ((~(v18(constB166) <=> (~((~v19(constB166)) | (~v22(constB166)))))) | v18(constB166) | ((~v19(constB166)) | (~v22(constB166)))),
% 8.93/6.87 inference(tautology,[status(thm)],[])).
% 8.93/6.87 tff(31946,plain,
% 8.93/6.87 ((~v19(constB166)) | (~v22(constB166))),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[31945, 31944, 31938])).
% 8.93/6.87 tff(31947,plain,
% 8.93/6.87 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB166) <=> (v1(constB166) | v6(constB166)))),
% 8.93/6.87 inference(quant_inst,[status(thm)],[])).
% 8.93/6.87 tff(31948,plain,
% 8.93/6.87 (v22(constB166) <=> (v1(constB166) | v6(constB166))),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[31947, 291])).
% 8.93/6.87 tff(31949,plain,
% 8.93/6.87 ((v1(constB166) | v6(constB166)) | (~v1(constB166))),
% 8.93/6.87 inference(tautology,[status(thm)],[])).
% 8.93/6.87 tff(31950,plain,
% 8.93/6.87 (v1(constB166) | v6(constB166)),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[31949, 21625])).
% 8.93/6.87 tff(31951,plain,
% 8.93/6.87 ((~(v22(constB166) <=> (v1(constB166) | v6(constB166)))) | v22(constB166) | (~(v1(constB166) | v6(constB166)))),
% 8.93/6.87 inference(tautology,[status(thm)],[])).
% 8.93/6.87 tff(31952,plain,
% 8.93/6.87 ((~(v22(constB166) <=> (v1(constB166) | v6(constB166)))) | v22(constB166)),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[31951, 31950])).
% 8.93/6.87 tff(31953,plain,
% 8.93/6.87 (v22(constB166)),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[31952, 31948])).
% 8.93/6.87 tff(31954,plain,
% 8.93/6.87 ((~((~v19(constB166)) | (~v22(constB166)))) | (~v19(constB166)) | (~v22(constB166))),
% 8.93/6.87 inference(tautology,[status(thm)],[])).
% 8.93/6.87 tff(31955,plain,
% 8.93/6.87 ((~((~v19(constB166)) | (~v22(constB166)))) | (~v19(constB166))),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[31954, 31953])).
% 8.93/6.87 tff(31956,plain,
% 8.93/6.87 (~v19(constB166)),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[31955, 31946])).
% 8.93/6.87 tff(31957,plain,
% 8.93/6.87 ((~(v19(constB166) <=> (v20(constB166) | v21(constB166)))) | v19(constB166) | (~(v20(constB166) | v21(constB166)))),
% 8.93/6.87 inference(tautology,[status(thm)],[])).
% 8.93/6.87 tff(31958,plain,
% 8.93/6.87 (~(v20(constB166) | v21(constB166))),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[31957, 31956, 31936])).
% 8.93/6.87 tff(31959,plain,
% 8.93/6.87 ((v20(constB166) | v21(constB166)) | (~v21(constB166))),
% 8.93/6.87 inference(tautology,[status(thm)],[])).
% 8.93/6.87 tff(31960,plain,
% 8.93/6.87 (~v21(constB166)),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[31959, 31958])).
% 8.93/6.87 tff(31961,plain,
% 8.93/6.87 ((~((~v21(constB166)) <=> v6(constB166))) | v21(constB166) | v6(constB166)),
% 8.93/6.87 inference(tautology,[status(thm)],[])).
% 8.93/6.87 tff(31962,plain,
% 8.93/6.87 (v6(constB166)),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[31961, 31960, 31934])).
% 8.93/6.87 tff(31963,plain,
% 8.93/6.87 ((~(v6(constB166) <=> v13(constB166))) | (~v6(constB166)) | v13(constB166)),
% 8.93/6.87 inference(tautology,[status(thm)],[])).
% 8.93/6.87 tff(31964,plain,
% 8.93/6.87 (v13(constB166)),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[31963, 31962, 31932])).
% 8.93/6.87 tff(31965,plain,
% 8.93/6.87 ((~(v13(constB166) <=> v9(constB165))) | (~v13(constB166)) | v9(constB165)),
% 8.93/6.87 inference(tautology,[status(thm)],[])).
% 8.93/6.87 tff(31966,plain,
% 8.93/6.87 (v9(constB165)),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[31965, 31964, 31930])).
% 8.93/6.87 tff(31967,plain,
% 8.93/6.87 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB165)) <=> v1(constB165))),
% 8.93/6.87 inference(quant_inst,[status(thm)],[])).
% 8.93/6.87 tff(31968,plain,
% 8.93/6.87 ((~v39(constB165)) <=> v1(constB165)),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[31967, 129])).
% 8.93/6.87 tff(31969,plain,
% 8.93/6.87 ((~((~v39(constB165)) <=> v1(constB165))) | v39(constB165) | v1(constB165)),
% 8.93/6.87 inference(tautology,[status(thm)],[])).
% 8.93/6.87 tff(31970,plain,
% 8.93/6.87 ((~((~v39(constB165)) <=> v1(constB165))) | v39(constB165)),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[31969, 15975])).
% 8.93/6.87 tff(31971,plain,
% 8.93/6.87 (v39(constB165)),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[31970, 31968])).
% 8.93/6.87 tff(31972,plain,
% 8.93/6.87 ((~((~v39(constB165)) | (~v9(constB165)))) | (~v39(constB165)) | (~v9(constB165))),
% 8.93/6.87 inference(tautology,[status(thm)],[])).
% 8.93/6.87 tff(31973,plain,
% 8.93/6.87 ((~((~v39(constB165)) | (~v9(constB165)))) | (~v9(constB165))),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[31972, 31971])).
% 8.93/6.87 tff(31974,plain,
% 8.93/6.87 (~((~v39(constB165)) | (~v9(constB165)))),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[31973, 31966])).
% 8.93/6.87 tff(31975,plain,
% 8.93/6.87 ((~(v197(constB165) <=> (~((~v39(constB165)) | (~v9(constB165)))))) | v197(constB165) | ((~v39(constB165)) | (~v9(constB165)))),
% 8.93/6.87 inference(tautology,[status(thm)],[])).
% 8.93/6.87 tff(31976,plain,
% 8.93/6.87 (v197(constB165)),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[31975, 31974, 31926])).
% 8.93/6.87 tff(31977,plain,
% 8.93/6.87 ((v197(constB165) | v26(constB165)) | (~v197(constB165))),
% 8.93/6.87 inference(tautology,[status(thm)],[])).
% 8.93/6.87 tff(31978,plain,
% 8.93/6.87 (v197(constB165) | v26(constB165)),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[31977, 31976])).
% 8.93/6.87 tff(31979,plain,
% 8.93/6.87 ((~(v196(constB165) <=> (v197(constB165) | v26(constB165)))) | v196(constB165) | (~(v197(constB165) | v26(constB165)))),
% 8.93/6.87 inference(tautology,[status(thm)],[])).
% 8.93/6.87 tff(31980,plain,
% 8.93/6.87 (v196(constB165)),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[31979, 31978, 31924])).
% 8.93/6.87 tff(31981,plain,
% 8.93/6.87 ((~((~v195(constB165)) <=> v196(constB165))) | (~v195(constB165)) | (~v196(constB165))),
% 8.93/6.87 inference(tautology,[status(thm)],[])).
% 8.93/6.87 tff(31982,plain,
% 8.93/6.87 (~v195(constB165)),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[31981, 31980, 31922])).
% 8.93/6.87 tff(31983,plain,
% 8.93/6.87 (((~v157(constB165)) | (~v195(constB165))) | v195(constB165)),
% 8.93/6.87 inference(tautology,[status(thm)],[])).
% 8.93/6.87 tff(31984,plain,
% 8.93/6.87 ((~v157(constB165)) | (~v195(constB165))),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[31983, 31982])).
% 8.93/6.87 tff(31985,plain,
% 8.93/6.87 ((~(v194(constB165) <=> (~((~v157(constB165)) | (~v195(constB165)))))) | (~v194(constB165)) | (~((~v157(constB165)) | (~v195(constB165))))),
% 8.93/6.87 inference(tautology,[status(thm)],[])).
% 8.93/6.87 tff(31986,plain,
% 8.93/6.87 (~v194(constB165)),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[31985, 31984, 31920])).
% 8.93/6.87 tff(31987,plain,
% 8.93/6.87 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB165) <=> (~((~v199(constB165)) | (~v200(constB165)))))),
% 8.93/6.87 inference(quant_inst,[status(thm)],[])).
% 8.93/6.87 tff(31988,plain,
% 8.93/6.87 (v198(constB165) <=> (~((~v199(constB165)) | (~v200(constB165))))),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[31987, 96])).
% 8.93/6.87 tff(31989,plain,
% 8.93/6.87 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB165) <=> (~((~v197(constB165)) | (~v201(constB165)))))),
% 8.93/6.87 inference(quant_inst,[status(thm)],[])).
% 8.93/6.87 tff(31990,plain,
% 8.93/6.87 (v200(constB165) <=> (~((~v197(constB165)) | (~v201(constB165))))),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[31989, 108])).
% 8.93/6.87 tff(31991,plain,
% 8.93/6.87 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB165) <=> (~((~v159(constB165)) | (~v161(constB165)))))),
% 8.93/6.87 inference(quant_inst,[status(thm)],[])).
% 8.93/6.87 tff(31992,plain,
% 8.93/6.87 (v201(constB165) <=> (~((~v159(constB165)) | (~v161(constB165))))),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[31991, 348])).
% 8.93/6.87 tff(31993,plain,
% 8.93/6.87 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB165) <=> v163(constB165))),
% 8.93/6.87 inference(quant_inst,[status(thm)],[])).
% 8.93/6.87 tff(31994,plain,
% 8.93/6.87 (v161(constB165) <=> v163(constB165)),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[31993, 357])).
% 8.93/6.87 tff(31995,plain,
% 8.93/6.87 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB165) <=> (v145(constB165) | v167(constB165)))),
% 8.93/6.87 inference(quant_inst,[status(thm)],[])).
% 8.93/6.87 tff(31996,plain,
% 8.93/6.87 (v166(constB165) <=> (v145(constB165) | v167(constB165))),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[31995, 369])).
% 8.93/6.87 tff(31997,plain,
% 8.93/6.87 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB165) <=> (v142(constB165) | v168(constB165)))),
% 8.93/6.87 inference(quant_inst,[status(thm)],[])).
% 8.93/6.87 tff(31998,plain,
% 8.93/6.87 (v167(constB165) <=> (v142(constB165) | v168(constB165))),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[31997, 381])).
% 8.93/6.87 tff(31999,plain,
% 8.93/6.87 ((v142(constB165) | v168(constB165)) | (~v142(constB165))),
% 8.93/6.87 inference(tautology,[status(thm)],[])).
% 8.93/6.87 tff(32000,plain,
% 8.93/6.87 (v142(constB165) | v168(constB165)),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[31999, 24783])).
% 8.93/6.87 tff(32001,plain,
% 8.93/6.87 ((~(v167(constB165) <=> (v142(constB165) | v168(constB165)))) | v167(constB165) | (~(v142(constB165) | v168(constB165)))),
% 8.93/6.87 inference(tautology,[status(thm)],[])).
% 8.93/6.87 tff(32002,plain,
% 8.93/6.87 ((~(v167(constB165) <=> (v142(constB165) | v168(constB165)))) | v167(constB165)),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[32001, 32000])).
% 8.93/6.87 tff(32003,plain,
% 8.93/6.87 (v167(constB165)),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[32002, 31998])).
% 8.93/6.87 tff(32004,plain,
% 8.93/6.87 ((v145(constB165) | v167(constB165)) | (~v167(constB165))),
% 8.93/6.87 inference(tautology,[status(thm)],[])).
% 8.93/6.87 tff(32005,plain,
% 8.93/6.87 (v145(constB165) | v167(constB165)),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[32004, 32003])).
% 8.93/6.87 tff(32006,plain,
% 8.93/6.87 ((~(v166(constB165) <=> (v145(constB165) | v167(constB165)))) | v166(constB165) | (~(v145(constB165) | v167(constB165)))),
% 8.93/6.87 inference(tautology,[status(thm)],[])).
% 8.93/6.87 tff(32007,plain,
% 8.93/6.87 (v166(constB165)),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[32006, 32005, 31996])).
% 8.93/6.87 tff(32008,plain,
% 8.93/6.87 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB165)) | (v163(constB165) <=> v170(constB165)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB165)) | (v163(constB165) <=> v170(constB165)))),
% 8.93/6.87 inference(rewrite,[status(thm)],[])).
% 8.93/6.87 tff(32009,plain,
% 8.93/6.87 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB165)) | (v163(constB165) <=> v170(constB165)))),
% 8.93/6.87 inference(quant_inst,[status(thm)],[])).
% 8.93/6.87 tff(32010,plain,
% 8.93/6.87 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB165)) | (v163(constB165) <=> v170(constB165))),
% 8.93/6.87 inference(modus_ponens,[status(thm)],[32009, 32008])).
% 8.93/6.87 tff(32011,plain,
% 8.93/6.87 ((~v166(constB165)) | (v163(constB165) <=> v170(constB165))),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[32010, 9851])).
% 8.93/6.87 tff(32012,plain,
% 8.93/6.87 (v163(constB165) <=> v170(constB165)),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[32011, 32007])).
% 8.93/6.87 tff(32013,plain,
% 8.93/6.87 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB165) <=> (v142(constB165) | v150(constB165)))),
% 8.93/6.87 inference(quant_inst,[status(thm)],[])).
% 8.93/6.87 tff(32014,plain,
% 8.93/6.87 (v171(constB165) <=> (v142(constB165) | v150(constB165))),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[32013, 9866])).
% 8.93/6.87 tff(32015,plain,
% 8.93/6.87 ((v142(constB165) | v150(constB165)) | (~v142(constB165))),
% 8.93/6.87 inference(tautology,[status(thm)],[])).
% 8.93/6.87 tff(32016,plain,
% 8.93/6.87 (v142(constB165) | v150(constB165)),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[32015, 24783])).
% 8.93/6.87 tff(32017,plain,
% 8.93/6.87 ((~(v171(constB165) <=> (v142(constB165) | v150(constB165)))) | v171(constB165) | (~(v142(constB165) | v150(constB165)))),
% 8.93/6.87 inference(tautology,[status(thm)],[])).
% 8.93/6.87 tff(32018,plain,
% 8.93/6.87 ((~(v171(constB165) <=> (v142(constB165) | v150(constB165)))) | v171(constB165)),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[32017, 32016])).
% 8.93/6.87 tff(32019,plain,
% 8.93/6.87 (v171(constB165)),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[32018, 32014])).
% 8.93/6.87 tff(32020,plain,
% 8.93/6.87 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB165)) | (~v171(constB165)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB165)) | (~v171(constB165)))),
% 8.93/6.87 inference(rewrite,[status(thm)],[])).
% 8.93/6.87 tff(32021,plain,
% 8.93/6.87 (((~v171(constB165)) | (~v170(constB165))) <=> ((~v170(constB165)) | (~v171(constB165)))),
% 8.93/6.87 inference(rewrite,[status(thm)],[])).
% 8.93/6.87 tff(32022,plain,
% 8.93/6.87 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB165)) | (~v170(constB165)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB165)) | (~v171(constB165))))),
% 8.93/6.87 inference(monotonicity,[status(thm)],[32021])).
% 8.93/6.87 tff(32023,plain,
% 8.93/6.87 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB165)) | (~v170(constB165)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB165)) | (~v171(constB165)))),
% 8.93/6.87 inference(transitivity,[status(thm)],[32022, 32020])).
% 8.93/6.87 tff(32024,plain,
% 8.93/6.87 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB165)) | (~v170(constB165)))),
% 8.93/6.87 inference(quant_inst,[status(thm)],[])).
% 8.93/6.87 tff(32025,plain,
% 8.93/6.87 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB165)) | (~v171(constB165))),
% 8.93/6.87 inference(modus_ponens,[status(thm)],[32024, 32023])).
% 8.93/6.87 tff(32026,plain,
% 8.93/6.87 (~v170(constB165)),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[32025, 9899, 32019])).
% 8.93/6.87 tff(32027,plain,
% 8.93/6.87 ((~(v163(constB165) <=> v170(constB165))) | (~v163(constB165)) | v170(constB165)),
% 8.93/6.87 inference(tautology,[status(thm)],[])).
% 8.93/6.87 tff(32028,plain,
% 8.93/6.87 (~v163(constB165)),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[32027, 32026, 32012])).
% 8.93/6.87 tff(32029,plain,
% 8.93/6.87 ((~(v161(constB165) <=> v163(constB165))) | (~v161(constB165)) | v163(constB165)),
% 8.93/6.87 inference(tautology,[status(thm)],[])).
% 8.93/6.87 tff(32030,plain,
% 8.93/6.87 (~v161(constB165)),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[32029, 32028, 31994])).
% 8.93/6.87 tff(32031,plain,
% 8.93/6.87 (((~v159(constB165)) | (~v161(constB165))) | v161(constB165)),
% 8.93/6.87 inference(tautology,[status(thm)],[])).
% 8.93/6.87 tff(32032,plain,
% 8.93/6.87 ((~v159(constB165)) | (~v161(constB165))),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[32031, 32030])).
% 8.93/6.87 tff(32033,plain,
% 8.93/6.87 ((~(v201(constB165) <=> (~((~v159(constB165)) | (~v161(constB165)))))) | (~v201(constB165)) | (~((~v159(constB165)) | (~v161(constB165))))),
% 8.93/6.87 inference(tautology,[status(thm)],[])).
% 8.93/6.87 tff(32034,plain,
% 8.93/6.87 (~v201(constB165)),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[32033, 32032, 31992])).
% 8.93/6.87 tff(32035,plain,
% 8.93/6.87 (((~v197(constB165)) | (~v201(constB165))) | v201(constB165)),
% 8.93/6.87 inference(tautology,[status(thm)],[])).
% 8.93/6.87 tff(32036,plain,
% 8.93/6.87 ((~v197(constB165)) | (~v201(constB165))),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[32035, 32034])).
% 8.93/6.87 tff(32037,plain,
% 8.93/6.87 ((~(v200(constB165) <=> (~((~v197(constB165)) | (~v201(constB165)))))) | (~v200(constB165)) | (~((~v197(constB165)) | (~v201(constB165))))),
% 8.93/6.87 inference(tautology,[status(thm)],[])).
% 8.93/6.87 tff(32038,plain,
% 8.93/6.87 (~v200(constB165)),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[32037, 32036, 31990])).
% 8.93/6.87 tff(32039,plain,
% 8.93/6.87 (((~v199(constB165)) | (~v200(constB165))) | v200(constB165)),
% 8.93/6.87 inference(tautology,[status(thm)],[])).
% 8.93/6.87 tff(32040,plain,
% 8.93/6.87 ((~v199(constB165)) | (~v200(constB165))),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[32039, 32038])).
% 8.93/6.87 tff(32041,plain,
% 8.93/6.87 ((~(v198(constB165) <=> (~((~v199(constB165)) | (~v200(constB165)))))) | (~v198(constB165)) | (~((~v199(constB165)) | (~v200(constB165))))),
% 8.93/6.87 inference(tautology,[status(thm)],[])).
% 8.93/6.87 tff(32042,plain,
% 8.93/6.87 (~v198(constB165)),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[32041, 32040, 31988])).
% 8.93/6.87 tff(32043,plain,
% 8.93/6.87 ((~(v194(constB165) | v198(constB165))) | v194(constB165) | v198(constB165)),
% 8.93/6.87 inference(tautology,[status(thm)],[])).
% 8.93/6.87 tff(32044,plain,
% 8.93/6.87 (~(v194(constB165) | v198(constB165))),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[32043, 32042, 31986])).
% 8.93/6.87 tff(32045,plain,
% 8.93/6.87 ((~(v191(constB165) <=> (v194(constB165) | v198(constB165)))) | (~v191(constB165)) | (v194(constB165) | v198(constB165))),
% 8.93/6.87 inference(tautology,[status(thm)],[])).
% 8.93/6.87 tff(32046,plain,
% 8.93/6.87 (~v191(constB165)),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[32045, 32044, 31913])).
% 8.93/6.87 tff(32047,plain,
% 8.93/6.87 ((~(v193(constB166) <=> v191(constB165))) | (~v193(constB166)) | v191(constB165)),
% 8.93/6.87 inference(tautology,[status(thm)],[])).
% 8.93/6.87 tff(32048,plain,
% 8.93/6.87 (~v193(constB166)),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[32047, 32046, 31911])).
% 8.93/6.87 tff(32049,plain,
% 8.93/6.87 ((~(v157(constB166) <=> v193(constB166))) | (~v157(constB166)) | v193(constB166)),
% 8.93/6.87 inference(tautology,[status(thm)],[])).
% 8.93/6.87 tff(32050,plain,
% 8.93/6.87 (~v157(constB166)),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[32049, 32048, 31907])).
% 8.93/6.87 tff(32051,plain,
% 8.93/6.87 (((~v157(constB166)) | (~v195(constB166))) | v157(constB166)),
% 8.93/6.87 inference(tautology,[status(thm)],[])).
% 8.93/6.87 tff(32052,plain,
% 8.93/6.87 ((~v157(constB166)) | (~v195(constB166))),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[32051, 32050])).
% 8.93/6.87 tff(32053,plain,
% 8.93/6.87 ((~(v194(constB166) <=> (~((~v157(constB166)) | (~v195(constB166)))))) | (~v194(constB166)) | (~((~v157(constB166)) | (~v195(constB166))))),
% 8.93/6.87 inference(tautology,[status(thm)],[])).
% 8.93/6.87 tff(32054,plain,
% 8.93/6.87 (~v194(constB166)),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[32053, 32052, 31905])).
% 8.93/6.87 tff(32055,plain,
% 8.93/6.87 ((~(v194(constB166) | v198(constB166))) | v194(constB166) | v198(constB166)),
% 8.93/6.87 inference(tautology,[status(thm)],[])).
% 8.93/6.87 tff(32056,plain,
% 8.93/6.87 (~(v194(constB166) | v198(constB166))),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[32055, 32054, 31898])).
% 8.93/6.87 tff(32057,plain,
% 8.93/6.87 ((~(v191(constB166) <=> (v194(constB166) | v198(constB166)))) | (~v191(constB166)) | (v194(constB166) | v198(constB166))),
% 8.93/6.87 inference(tautology,[status(thm)],[])).
% 8.93/6.87 tff(32058,plain,
% 8.93/6.87 (~v191(constB166)),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[32057, 32056, 31873])).
% 8.93/6.87 tff(32059,plain,
% 8.93/6.87 ((~(v193(constB167) <=> v191(constB166))) | (~v193(constB167)) | v191(constB166)),
% 8.93/6.87 inference(tautology,[status(thm)],[])).
% 8.93/6.87 tff(32060,plain,
% 8.93/6.87 (~v193(constB167)),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[32059, 32058, 31871])).
% 8.93/6.87 tff(32061,plain,
% 8.93/6.87 ($false),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[32060, 31867])).
% 8.93/6.87 tff(32062,plain,(~(constB167 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.93/6.87 tff(32063,assumption,(constB29 = VarCurr!0), introduced(assumption)).
% 8.93/6.87 tff(32064,plain,
% 8.93/6.87 (v86(constB29) <=> v86(VarCurr!0)),
% 8.93/6.87 inference(monotonicity,[status(thm)],[32063])).
% 8.93/6.87 tff(32065,plain,
% 8.93/6.87 (v86(VarCurr!0) <=> v86(constB29)),
% 8.93/6.87 inference(symmetry,[status(thm)],[32064])).
% 8.93/6.87 tff(32066,plain,
% 8.93/6.87 ((~v86(VarCurr!0)) <=> (~v86(constB29))),
% 8.93/6.87 inference(monotonicity,[status(thm)],[32065])).
% 8.93/6.87 tff(32067,plain,
% 8.93/6.87 (~v86(constB29)),
% 8.93/6.87 inference(modus_ponens,[status(thm)],[14736, 32066])).
% 8.93/6.87 tff(32068,plain,
% 8.93/6.87 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB29) <=> (v136(constB29) | v145(constB29)))),
% 8.93/6.87 inference(quant_inst,[status(thm)],[])).
% 8.93/6.87 tff(32069,plain,
% 8.93/6.87 (v135(constB29) <=> (v136(constB29) | v145(constB29))),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[32068, 14744])).
% 8.93/6.87 tff(32070,plain,
% 8.93/6.87 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB29) <=> (v137(constB29) | v142(constB29)))),
% 8.93/6.87 inference(quant_inst,[status(thm)],[])).
% 8.93/6.87 tff(32071,plain,
% 8.93/6.87 (v136(constB29) <=> (v137(constB29) | v142(constB29))),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[32070, 14753])).
% 8.93/6.87 tff(32072,plain,
% 8.93/6.87 ((v137(constB29) | v142(constB29)) | (~v142(constB29))),
% 8.93/6.87 inference(tautology,[status(thm)],[])).
% 8.93/6.87 tff(32073,plain,
% 8.93/6.87 (v137(constB29) | v142(constB29)),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[32072, 27251])).
% 8.93/6.87 tff(32074,plain,
% 8.93/6.87 ((~(v136(constB29) <=> (v137(constB29) | v142(constB29)))) | v136(constB29) | (~(v137(constB29) | v142(constB29)))),
% 8.93/6.87 inference(tautology,[status(thm)],[])).
% 8.93/6.87 tff(32075,plain,
% 8.93/6.87 ((~(v136(constB29) <=> (v137(constB29) | v142(constB29)))) | v136(constB29)),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[32074, 32073])).
% 8.93/6.87 tff(32076,plain,
% 8.93/6.87 (v136(constB29)),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[32075, 32071])).
% 8.93/6.87 tff(32077,plain,
% 8.93/6.87 ((v136(constB29) | v145(constB29)) | (~v136(constB29))),
% 8.93/6.87 inference(tautology,[status(thm)],[])).
% 8.93/6.87 tff(32078,plain,
% 8.93/6.87 (v136(constB29) | v145(constB29)),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[32077, 32076])).
% 8.93/6.87 tff(32079,plain,
% 8.93/6.87 ((~(v135(constB29) <=> (v136(constB29) | v145(constB29)))) | v135(constB29) | (~(v136(constB29) | v145(constB29)))),
% 8.93/6.87 inference(tautology,[status(thm)],[])).
% 8.93/6.87 tff(32080,plain,
% 8.93/6.87 (v135(constB29)),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[32079, 32078, 32069])).
% 8.93/6.87 tff(32081,plain,
% 8.93/6.87 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB29)) | (v86(constB29) <=> v148(constB29)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB29)) | (v86(constB29) <=> v148(constB29)))),
% 8.93/6.87 inference(rewrite,[status(thm)],[])).
% 8.93/6.87 tff(32082,plain,
% 8.93/6.87 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB29)) | (v86(constB29) <=> v148(constB29)))),
% 8.93/6.87 inference(quant_inst,[status(thm)],[])).
% 8.93/6.87 tff(32083,plain,
% 8.93/6.87 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB29)) | (v86(constB29) <=> v148(constB29))),
% 8.93/6.87 inference(modus_ponens,[status(thm)],[32082, 32081])).
% 8.93/6.87 tff(32084,plain,
% 8.93/6.87 (v86(constB29) <=> v148(constB29)),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[32083, 14818, 32080])).
% 8.93/6.87 tff(32085,plain,
% 8.93/6.87 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB29) | (~v142(constB29)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB29) | (~v142(constB29)))),
% 8.93/6.87 inference(rewrite,[status(thm)],[])).
% 8.93/6.87 tff(32086,plain,
% 8.93/6.87 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB29) | (~v142(constB29)))),
% 8.93/6.87 inference(quant_inst,[status(thm)],[])).
% 8.93/6.87 tff(32087,plain,
% 8.93/6.87 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB29) | (~v142(constB29))),
% 8.93/6.87 inference(modus_ponens,[status(thm)],[32086, 32085])).
% 8.93/6.87 tff(32088,plain,
% 8.93/6.87 (v148(constB29)),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[32087, 14832, 27251])).
% 8.93/6.87 tff(32089,plain,
% 8.93/6.87 ((~(v86(constB29) <=> v148(constB29))) | v86(constB29) | (~v148(constB29))),
% 8.93/6.87 inference(tautology,[status(thm)],[])).
% 8.93/6.87 tff(32090,plain,
% 8.93/6.87 ((~(v86(constB29) <=> v148(constB29))) | v86(constB29)),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[32089, 32088])).
% 8.93/6.87 tff(32091,plain,
% 8.93/6.87 (v86(constB29)),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[32090, 32084])).
% 8.93/6.87 tff(32092,plain,
% 8.93/6.87 ($false),
% 8.93/6.87 inference(unit_resolution,[status(thm)],[32091, 32067])).
% 8.93/6.87 tff(32093,plain,(~(constB29 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.93/6.87 tff(32094,assumption,(constB67 = VarCurr!0), introduced(assumption)).
% 8.93/6.87 tff(32095,plain,
% 8.93/6.87 (v193(constB67) <=> v193(VarCurr!0)),
% 8.93/6.87 inference(monotonicity,[status(thm)],[32094])).
% 8.93/6.87 tff(32096,plain,
% 8.93/6.87 (v193(VarCurr!0) <=> v193(constB67)),
% 8.93/6.87 inference(symmetry,[status(thm)],[32095])).
% 8.93/6.87 tff(32097,plain,
% 8.93/6.87 (v193(constB67)),
% 8.93/6.87 inference(modus_ponens,[status(thm)],[59, 32096])).
% 8.93/6.87 tff(32098,plain,
% 8.93/6.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB66, constB67)) | (v193(constB67) <=> v191(constB66)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB66, constB67)) | (v193(constB67) <=> v191(constB66)))),
% 8.93/6.87 inference(rewrite,[status(thm)],[])).
% 8.93/6.87 tff(32099,plain,
% 8.93/6.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB66, constB67)) | (v193(constB67) <=> v191(constB66)))),
% 8.93/6.87 inference(quant_inst,[status(thm)],[])).
% 8.93/6.87 tff(32100,plain,
% 8.93/6.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB66, constB67)) | (v193(constB67) <=> v191(constB66))),
% 8.93/6.87 inference(modus_ponens,[status(thm)],[32099, 32098])).
% 8.93/6.87 tff(32101,plain,
% 8.93/6.87 (v193(constB67) <=> v191(constB66)),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32100, 1016, 70])).
% 8.93/6.88 tff(32102,plain,
% 8.93/6.88 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB66) <=> (v194(constB66) | v198(constB66)))),
% 8.93/6.88 inference(quant_inst,[status(thm)],[])).
% 8.93/6.88 tff(32103,plain,
% 8.93/6.88 (v191(constB66) <=> (v194(constB66) | v198(constB66))),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32102, 84])).
% 8.93/6.88 tff(32104,plain,
% 8.93/6.88 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB66) <=> (~((~v199(constB66)) | (~v200(constB66)))))),
% 8.93/6.88 inference(quant_inst,[status(thm)],[])).
% 8.93/6.88 tff(32105,plain,
% 8.93/6.88 (v198(constB66) <=> (~((~v199(constB66)) | (~v200(constB66))))),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32104, 96])).
% 8.93/6.88 tff(32106,plain,
% 8.93/6.88 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB66) <=> (~((~v197(constB66)) | (~v201(constB66)))))),
% 8.93/6.88 inference(quant_inst,[status(thm)],[])).
% 8.93/6.88 tff(32107,plain,
% 8.93/6.88 (v200(constB66) <=> (~((~v197(constB66)) | (~v201(constB66))))),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32106, 108])).
% 8.93/6.88 tff(32108,plain,
% 8.93/6.88 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB66) <=> (~((~v39(constB66)) | (~v9(constB66)))))),
% 8.93/6.88 inference(quant_inst,[status(thm)],[])).
% 8.93/6.88 tff(32109,plain,
% 8.93/6.88 (v197(constB66) <=> (~((~v39(constB66)) | (~v9(constB66))))),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32108, 120])).
% 8.93/6.88 tff(32110,plain,
% 8.93/6.88 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB66)) <=> v1(constB66))),
% 8.93/6.88 inference(quant_inst,[status(thm)],[])).
% 8.93/6.88 tff(32111,plain,
% 8.93/6.88 ((~v39(constB66)) <=> v1(constB66)),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32110, 129])).
% 8.93/6.88 tff(32112,plain,
% 8.93/6.88 ((~((~v39(constB66)) <=> v1(constB66))) | (~v39(constB66)) | (~v1(constB66))),
% 8.93/6.88 inference(tautology,[status(thm)],[])).
% 8.93/6.88 tff(32113,plain,
% 8.93/6.88 ((~((~v39(constB66)) <=> v1(constB66))) | (~v39(constB66))),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32112, 8587])).
% 8.93/6.88 tff(32114,plain,
% 8.93/6.88 (~v39(constB66)),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32113, 32111])).
% 8.93/6.88 tff(32115,plain,
% 8.93/6.88 (((~v39(constB66)) | (~v9(constB66))) | v39(constB66)),
% 8.93/6.88 inference(tautology,[status(thm)],[])).
% 8.93/6.88 tff(32116,plain,
% 8.93/6.88 ((~v39(constB66)) | (~v9(constB66))),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32115, 32114])).
% 8.93/6.88 tff(32117,plain,
% 8.93/6.88 ((~(v197(constB66) <=> (~((~v39(constB66)) | (~v9(constB66)))))) | (~v197(constB66)) | (~((~v39(constB66)) | (~v9(constB66))))),
% 8.93/6.88 inference(tautology,[status(thm)],[])).
% 8.93/6.88 tff(32118,plain,
% 8.93/6.88 ((~(v197(constB66) <=> (~((~v39(constB66)) | (~v9(constB66)))))) | (~v197(constB66))),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32117, 32116])).
% 8.93/6.88 tff(32119,plain,
% 8.93/6.88 (~v197(constB66)),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32118, 32109])).
% 8.93/6.88 tff(32120,plain,
% 8.93/6.88 (((~v197(constB66)) | (~v201(constB66))) | v197(constB66)),
% 8.93/6.88 inference(tautology,[status(thm)],[])).
% 8.93/6.88 tff(32121,plain,
% 8.93/6.88 ((~v197(constB66)) | (~v201(constB66))),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32120, 32119])).
% 8.93/6.88 tff(32122,plain,
% 8.93/6.88 ((~(v200(constB66) <=> (~((~v197(constB66)) | (~v201(constB66)))))) | (~v200(constB66)) | (~((~v197(constB66)) | (~v201(constB66))))),
% 8.93/6.88 inference(tautology,[status(thm)],[])).
% 8.93/6.88 tff(32123,plain,
% 8.93/6.88 ((~(v200(constB66) <=> (~((~v197(constB66)) | (~v201(constB66)))))) | (~v200(constB66))),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32122, 32121])).
% 8.93/6.88 tff(32124,plain,
% 8.93/6.88 (~v200(constB66)),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32123, 32107])).
% 8.93/6.88 tff(32125,plain,
% 8.93/6.88 (((~v199(constB66)) | (~v200(constB66))) | v200(constB66)),
% 8.93/6.88 inference(tautology,[status(thm)],[])).
% 8.93/6.88 tff(32126,plain,
% 8.93/6.88 ((~v199(constB66)) | (~v200(constB66))),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32125, 32124])).
% 8.93/6.88 tff(32127,plain,
% 8.93/6.88 ((~(v198(constB66) <=> (~((~v199(constB66)) | (~v200(constB66)))))) | (~v198(constB66)) | (~((~v199(constB66)) | (~v200(constB66))))),
% 8.93/6.88 inference(tautology,[status(thm)],[])).
% 8.93/6.88 tff(32128,plain,
% 8.93/6.88 (~v198(constB66)),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32127, 32126, 32105])).
% 8.93/6.88 tff(32129,plain,
% 8.93/6.88 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB66) <=> (~((~v157(constB66)) | (~v195(constB66)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB66) <=> (~((~v157(constB66)) | (~v195(constB66))))))),
% 8.93/6.88 inference(rewrite,[status(thm)],[])).
% 8.93/6.88 tff(32130,plain,
% 8.93/6.88 ((v194(constB66) <=> (~((~v195(constB66)) | (~v157(constB66))))) <=> (v194(constB66) <=> (~((~v157(constB66)) | (~v195(constB66)))))),
% 8.93/6.88 inference(rewrite,[status(thm)],[])).
% 8.93/6.88 tff(32131,plain,
% 8.93/6.88 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB66) <=> (~((~v195(constB66)) | (~v157(constB66)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB66) <=> (~((~v157(constB66)) | (~v195(constB66))))))),
% 8.93/6.88 inference(monotonicity,[status(thm)],[32130])).
% 8.93/6.88 tff(32132,plain,
% 8.93/6.88 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB66) <=> (~((~v195(constB66)) | (~v157(constB66)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB66) <=> (~((~v157(constB66)) | (~v195(constB66))))))),
% 8.93/6.88 inference(transitivity,[status(thm)],[32131, 32129])).
% 8.93/6.88 tff(32133,plain,
% 8.93/6.88 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB66) <=> (~((~v195(constB66)) | (~v157(constB66)))))),
% 8.93/6.88 inference(quant_inst,[status(thm)],[])).
% 8.93/6.88 tff(32134,plain,
% 8.93/6.88 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB66) <=> (~((~v157(constB66)) | (~v195(constB66)))))),
% 8.93/6.88 inference(modus_ponens,[status(thm)],[32133, 32132])).
% 8.93/6.88 tff(32135,plain,
% 8.93/6.88 (v194(constB66) <=> (~((~v157(constB66)) | (~v195(constB66))))),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32134, 161])).
% 8.93/6.88 tff(32136,plain,
% 8.93/6.88 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB66) <=> v193(constB66))),
% 8.93/6.88 inference(quant_inst,[status(thm)],[])).
% 8.93/6.88 tff(32137,plain,
% 8.93/6.88 (v157(constB66) <=> v193(constB66)),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32136, 13])).
% 8.93/6.88 tff(32138,plain,
% 8.93/6.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB65, constB66)) | (v193(constB66) <=> v191(constB65)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB65, constB66)) | (v193(constB66) <=> v191(constB65)))),
% 8.93/6.88 inference(rewrite,[status(thm)],[])).
% 8.93/6.88 tff(32139,plain,
% 8.93/6.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB65, constB66)) | (v193(constB66) <=> v191(constB65)))),
% 8.93/6.88 inference(quant_inst,[status(thm)],[])).
% 8.93/6.88 tff(32140,plain,
% 8.93/6.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB65, constB66)) | (v193(constB66) <=> v191(constB65))),
% 8.93/6.88 inference(modus_ponens,[status(thm)],[32139, 32138])).
% 8.93/6.88 tff(32141,plain,
% 8.93/6.88 (v193(constB66) <=> v191(constB65)),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32140, 1052, 70])).
% 8.93/6.88 tff(32142,plain,
% 8.93/6.88 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB65) <=> (v194(constB65) | v198(constB65)))),
% 8.93/6.88 inference(quant_inst,[status(thm)],[])).
% 8.93/6.88 tff(32143,plain,
% 8.93/6.88 (v191(constB65) <=> (v194(constB65) | v198(constB65))),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32142, 84])).
% 8.93/6.88 tff(32144,plain,
% 8.93/6.88 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB65) <=> (~((~v157(constB65)) | (~v195(constB65)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB65) <=> (~((~v157(constB65)) | (~v195(constB65))))))),
% 8.93/6.88 inference(rewrite,[status(thm)],[])).
% 8.93/6.88 tff(32145,plain,
% 8.93/6.88 ((v194(constB65) <=> (~((~v195(constB65)) | (~v157(constB65))))) <=> (v194(constB65) <=> (~((~v157(constB65)) | (~v195(constB65)))))),
% 8.93/6.88 inference(rewrite,[status(thm)],[])).
% 8.93/6.88 tff(32146,plain,
% 8.93/6.88 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB65) <=> (~((~v195(constB65)) | (~v157(constB65)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB65) <=> (~((~v157(constB65)) | (~v195(constB65))))))),
% 8.93/6.88 inference(monotonicity,[status(thm)],[32145])).
% 8.93/6.88 tff(32147,plain,
% 8.93/6.88 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB65) <=> (~((~v195(constB65)) | (~v157(constB65)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB65) <=> (~((~v157(constB65)) | (~v195(constB65))))))),
% 8.93/6.88 inference(transitivity,[status(thm)],[32146, 32144])).
% 8.93/6.88 tff(32148,plain,
% 8.93/6.88 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB65) <=> (~((~v195(constB65)) | (~v157(constB65)))))),
% 8.93/6.88 inference(quant_inst,[status(thm)],[])).
% 8.93/6.88 tff(32149,plain,
% 8.93/6.88 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB65) <=> (~((~v157(constB65)) | (~v195(constB65)))))),
% 8.93/6.88 inference(modus_ponens,[status(thm)],[32148, 32147])).
% 8.93/6.88 tff(32150,plain,
% 8.93/6.88 (v194(constB65) <=> (~((~v157(constB65)) | (~v195(constB65))))),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32149, 161])).
% 8.93/6.88 tff(32151,plain,
% 8.93/6.88 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB65)) <=> v196(constB65))),
% 8.93/6.88 inference(quant_inst,[status(thm)],[])).
% 8.93/6.88 tff(32152,plain,
% 8.93/6.88 ((~v195(constB65)) <=> v196(constB65)),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32151, 193])).
% 8.93/6.88 tff(32153,plain,
% 8.93/6.88 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB65) <=> (v197(constB65) | v26(constB65)))),
% 8.93/6.88 inference(quant_inst,[status(thm)],[])).
% 8.93/6.88 tff(32154,plain,
% 8.93/6.88 (v196(constB65) <=> (v197(constB65) | v26(constB65))),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32153, 202])).
% 8.93/6.88 tff(32155,plain,
% 8.93/6.88 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB65) <=> (~((~v39(constB65)) | (~v9(constB65)))))),
% 8.93/6.88 inference(quant_inst,[status(thm)],[])).
% 8.93/6.88 tff(32156,plain,
% 8.93/6.88 (v197(constB65) <=> (~((~v39(constB65)) | (~v9(constB65))))),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32155, 120])).
% 8.93/6.88 tff(32157,plain,
% 8.93/6.88 (((~![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)))),
% 8.93/6.88 inference(rewrite,[status(thm)],[])).
% 8.93/6.88 tff(32158,plain,
% 8.93/6.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB65, constB66)) | (v13(constB66) <=> v9(constB65)))),
% 8.93/6.88 inference(quant_inst,[status(thm)],[])).
% 8.93/6.88 tff(32159,plain,
% 8.93/6.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB65, constB66)) | (v13(constB66) <=> v9(constB65))),
% 8.93/6.88 inference(modus_ponens,[status(thm)],[32158, 32157])).
% 8.93/6.88 tff(32160,plain,
% 8.93/6.88 (v13(constB66) <=> v9(constB65)),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32159, 1052, 216])).
% 8.93/6.88 tff(32161,plain,
% 8.93/6.88 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB66) <=> v13(constB66))),
% 8.93/6.88 inference(quant_inst,[status(thm)],[])).
% 8.93/6.88 tff(32162,plain,
% 8.93/6.88 (v6(constB66) <=> v13(constB66)),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32161, 230])).
% 8.93/6.88 tff(32163,plain,
% 8.93/6.88 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB66)) <=> v6(constB66))),
% 8.93/6.88 inference(quant_inst,[status(thm)],[])).
% 8.93/6.88 tff(32164,plain,
% 8.93/6.88 ((~v21(constB66)) <=> v6(constB66)),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32163, 239])).
% 8.93/6.88 tff(32165,plain,
% 8.93/6.88 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB66) <=> (v20(constB66) | v21(constB66)))),
% 8.93/6.88 inference(quant_inst,[status(thm)],[])).
% 8.93/6.88 tff(32166,plain,
% 8.93/6.88 (v19(constB66) <=> (v20(constB66) | v21(constB66))),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32165, 248])).
% 8.93/6.88 tff(32167,plain,
% 8.93/6.88 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB66) <=> (~((~v19(constB66)) | (~v22(constB66)))))),
% 8.93/6.88 inference(quant_inst,[status(thm)],[])).
% 8.93/6.88 tff(32168,plain,
% 8.93/6.88 (v18(constB66) <=> (~((~v19(constB66)) | (~v22(constB66))))),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32167, 260])).
% 8.93/6.88 tff(32169,plain,
% 8.93/6.88 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB66)) <=> v18(constB66))),
% 8.93/6.88 inference(quant_inst,[status(thm)],[])).
% 8.93/6.88 tff(32170,plain,
% 8.93/6.88 ((~v4(constB66)) <=> v18(constB66)),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32169, 269])).
% 8.93/6.88 tff(32171,plain,
% 8.93/6.88 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB66)),
% 8.93/6.88 inference(quant_inst,[status(thm)],[])).
% 8.93/6.88 tff(32172,plain,
% 8.93/6.88 (v4(constB66)),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32171, 278])).
% 8.93/6.88 tff(32173,plain,
% 8.93/6.88 ((~((~v4(constB66)) <=> v18(constB66))) | (~v4(constB66)) | (~v18(constB66))),
% 8.93/6.88 inference(tautology,[status(thm)],[])).
% 8.93/6.88 tff(32174,plain,
% 8.93/6.88 (~v18(constB66)),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32173, 32172, 32170])).
% 8.93/6.88 tff(32175,plain,
% 8.93/6.88 ((~(v18(constB66) <=> (~((~v19(constB66)) | (~v22(constB66)))))) | v18(constB66) | ((~v19(constB66)) | (~v22(constB66)))),
% 8.93/6.88 inference(tautology,[status(thm)],[])).
% 8.93/6.88 tff(32176,plain,
% 8.93/6.88 ((~v19(constB66)) | (~v22(constB66))),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32175, 32174, 32168])).
% 8.93/6.88 tff(32177,plain,
% 8.93/6.88 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB66) <=> (v1(constB66) | v6(constB66)))),
% 8.93/6.88 inference(quant_inst,[status(thm)],[])).
% 8.93/6.88 tff(32178,plain,
% 8.93/6.88 (v22(constB66) <=> (v1(constB66) | v6(constB66))),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32177, 291])).
% 8.93/6.88 tff(32179,plain,
% 8.93/6.88 ((v1(constB66) | v6(constB66)) | (~v1(constB66))),
% 8.93/6.88 inference(tautology,[status(thm)],[])).
% 8.93/6.88 tff(32180,plain,
% 8.93/6.88 (v1(constB66) | v6(constB66)),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32179, 8587])).
% 8.93/6.88 tff(32181,plain,
% 8.93/6.88 ((~(v22(constB66) <=> (v1(constB66) | v6(constB66)))) | v22(constB66) | (~(v1(constB66) | v6(constB66)))),
% 8.93/6.88 inference(tautology,[status(thm)],[])).
% 8.93/6.88 tff(32182,plain,
% 8.93/6.88 ((~(v22(constB66) <=> (v1(constB66) | v6(constB66)))) | v22(constB66)),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32181, 32180])).
% 8.93/6.88 tff(32183,plain,
% 8.93/6.88 (v22(constB66)),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32182, 32178])).
% 8.93/6.88 tff(32184,plain,
% 8.93/6.88 ((~((~v19(constB66)) | (~v22(constB66)))) | (~v19(constB66)) | (~v22(constB66))),
% 8.93/6.88 inference(tautology,[status(thm)],[])).
% 8.93/6.88 tff(32185,plain,
% 8.93/6.88 ((~((~v19(constB66)) | (~v22(constB66)))) | (~v19(constB66))),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32184, 32183])).
% 8.93/6.88 tff(32186,plain,
% 8.93/6.88 (~v19(constB66)),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32185, 32176])).
% 8.93/6.88 tff(32187,plain,
% 8.93/6.88 ((~(v19(constB66) <=> (v20(constB66) | v21(constB66)))) | v19(constB66) | (~(v20(constB66) | v21(constB66)))),
% 8.93/6.88 inference(tautology,[status(thm)],[])).
% 8.93/6.88 tff(32188,plain,
% 8.93/6.88 (~(v20(constB66) | v21(constB66))),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32187, 32186, 32166])).
% 8.93/6.88 tff(32189,plain,
% 8.93/6.88 ((v20(constB66) | v21(constB66)) | (~v21(constB66))),
% 8.93/6.88 inference(tautology,[status(thm)],[])).
% 8.93/6.88 tff(32190,plain,
% 8.93/6.88 (~v21(constB66)),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32189, 32188])).
% 8.93/6.88 tff(32191,plain,
% 8.93/6.88 ((~((~v21(constB66)) <=> v6(constB66))) | v21(constB66) | v6(constB66)),
% 8.93/6.88 inference(tautology,[status(thm)],[])).
% 8.93/6.88 tff(32192,plain,
% 8.93/6.88 (v6(constB66)),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32191, 32190, 32164])).
% 8.93/6.88 tff(32193,plain,
% 8.93/6.88 ((~(v6(constB66) <=> v13(constB66))) | (~v6(constB66)) | v13(constB66)),
% 8.93/6.88 inference(tautology,[status(thm)],[])).
% 8.93/6.88 tff(32194,plain,
% 8.93/6.88 (v13(constB66)),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32193, 32192, 32162])).
% 8.93/6.88 tff(32195,plain,
% 8.93/6.88 ((~(v13(constB66) <=> v9(constB65))) | (~v13(constB66)) | v9(constB65)),
% 8.93/6.88 inference(tautology,[status(thm)],[])).
% 8.93/6.88 tff(32196,plain,
% 8.93/6.88 (v9(constB65)),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32195, 32194, 32160])).
% 8.93/6.88 tff(32197,plain,
% 8.93/6.88 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB65)) <=> v1(constB65))),
% 8.93/6.88 inference(quant_inst,[status(thm)],[])).
% 8.93/6.88 tff(32198,plain,
% 8.93/6.88 ((~v39(constB65)) <=> v1(constB65)),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32197, 129])).
% 8.93/6.88 tff(32199,plain,
% 8.93/6.88 ((~((~v39(constB65)) <=> v1(constB65))) | v39(constB65) | v1(constB65)),
% 8.93/6.88 inference(tautology,[status(thm)],[])).
% 8.93/6.88 tff(32200,plain,
% 8.93/6.88 ((~((~v39(constB65)) <=> v1(constB65))) | v39(constB65)),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32199, 1104])).
% 8.93/6.88 tff(32201,plain,
% 8.93/6.88 (v39(constB65)),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32200, 32198])).
% 8.93/6.88 tff(32202,plain,
% 8.93/6.88 ((~((~v39(constB65)) | (~v9(constB65)))) | (~v39(constB65)) | (~v9(constB65))),
% 8.93/6.88 inference(tautology,[status(thm)],[])).
% 8.93/6.88 tff(32203,plain,
% 8.93/6.88 ((~((~v39(constB65)) | (~v9(constB65)))) | (~v9(constB65))),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32202, 32201])).
% 8.93/6.88 tff(32204,plain,
% 8.93/6.88 (~((~v39(constB65)) | (~v9(constB65)))),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32203, 32196])).
% 8.93/6.88 tff(32205,plain,
% 8.93/6.88 ((~(v197(constB65) <=> (~((~v39(constB65)) | (~v9(constB65)))))) | v197(constB65) | ((~v39(constB65)) | (~v9(constB65)))),
% 8.93/6.88 inference(tautology,[status(thm)],[])).
% 8.93/6.88 tff(32206,plain,
% 8.93/6.88 (v197(constB65)),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32205, 32204, 32156])).
% 8.93/6.88 tff(32207,plain,
% 8.93/6.88 ((v197(constB65) | v26(constB65)) | (~v197(constB65))),
% 8.93/6.88 inference(tautology,[status(thm)],[])).
% 8.93/6.88 tff(32208,plain,
% 8.93/6.88 (v197(constB65) | v26(constB65)),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32207, 32206])).
% 8.93/6.88 tff(32209,plain,
% 8.93/6.88 ((~(v196(constB65) <=> (v197(constB65) | v26(constB65)))) | v196(constB65) | (~(v197(constB65) | v26(constB65)))),
% 8.93/6.88 inference(tautology,[status(thm)],[])).
% 8.93/6.88 tff(32210,plain,
% 8.93/6.88 (v196(constB65)),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32209, 32208, 32154])).
% 8.93/6.88 tff(32211,plain,
% 8.93/6.88 ((~((~v195(constB65)) <=> v196(constB65))) | (~v195(constB65)) | (~v196(constB65))),
% 8.93/6.88 inference(tautology,[status(thm)],[])).
% 8.93/6.88 tff(32212,plain,
% 8.93/6.88 (~v195(constB65)),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32211, 32210, 32152])).
% 8.93/6.88 tff(32213,plain,
% 8.93/6.88 (((~v157(constB65)) | (~v195(constB65))) | v195(constB65)),
% 8.93/6.88 inference(tautology,[status(thm)],[])).
% 8.93/6.88 tff(32214,plain,
% 8.93/6.88 ((~v157(constB65)) | (~v195(constB65))),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32213, 32212])).
% 8.93/6.88 tff(32215,plain,
% 8.93/6.88 ((~(v194(constB65) <=> (~((~v157(constB65)) | (~v195(constB65)))))) | (~v194(constB65)) | (~((~v157(constB65)) | (~v195(constB65))))),
% 8.93/6.88 inference(tautology,[status(thm)],[])).
% 8.93/6.88 tff(32216,plain,
% 8.93/6.88 (~v194(constB65)),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32215, 32214, 32150])).
% 8.93/6.88 tff(32217,plain,
% 8.93/6.88 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB65) <=> (~((~v199(constB65)) | (~v200(constB65)))))),
% 8.93/6.88 inference(quant_inst,[status(thm)],[])).
% 8.93/6.88 tff(32218,plain,
% 8.93/6.88 (v198(constB65) <=> (~((~v199(constB65)) | (~v200(constB65))))),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32217, 96])).
% 8.93/6.88 tff(32219,plain,
% 8.93/6.88 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB65) <=> (~((~v197(constB65)) | (~v201(constB65)))))),
% 8.93/6.88 inference(quant_inst,[status(thm)],[])).
% 8.93/6.88 tff(32220,plain,
% 8.93/6.88 (v200(constB65) <=> (~((~v197(constB65)) | (~v201(constB65))))),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32219, 108])).
% 8.93/6.88 tff(32221,plain,
% 8.93/6.88 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB65) <=> (~((~v159(constB65)) | (~v161(constB65)))))),
% 8.93/6.88 inference(quant_inst,[status(thm)],[])).
% 8.93/6.88 tff(32222,plain,
% 8.93/6.88 (v201(constB65) <=> (~((~v159(constB65)) | (~v161(constB65))))),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32221, 348])).
% 8.93/6.88 tff(32223,plain,
% 8.93/6.88 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB65) <=> v163(constB65))),
% 8.93/6.88 inference(quant_inst,[status(thm)],[])).
% 8.93/6.88 tff(32224,plain,
% 8.93/6.88 (v161(constB65) <=> v163(constB65)),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32223, 357])).
% 8.93/6.88 tff(32225,plain,
% 8.93/6.88 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB65) <=> (v145(constB65) | v167(constB65)))),
% 8.93/6.88 inference(quant_inst,[status(thm)],[])).
% 8.93/6.88 tff(32226,plain,
% 8.93/6.88 (v166(constB65) <=> (v145(constB65) | v167(constB65))),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32225, 369])).
% 8.93/6.88 tff(32227,plain,
% 8.93/6.88 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB65) <=> (v142(constB65) | v168(constB65)))),
% 8.93/6.88 inference(quant_inst,[status(thm)],[])).
% 8.93/6.88 tff(32228,plain,
% 8.93/6.88 (v167(constB65) <=> (v142(constB65) | v168(constB65))),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32227, 381])).
% 8.93/6.88 tff(32229,plain,
% 8.93/6.88 ((v142(constB65) | v168(constB65)) | (~v142(constB65))),
% 8.93/6.88 inference(tautology,[status(thm)],[])).
% 8.93/6.88 tff(32230,plain,
% 8.93/6.88 (v142(constB65) | v168(constB65)),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32229, 28374])).
% 8.93/6.88 tff(32231,plain,
% 8.93/6.88 ((~(v167(constB65) <=> (v142(constB65) | v168(constB65)))) | v167(constB65) | (~(v142(constB65) | v168(constB65)))),
% 8.93/6.88 inference(tautology,[status(thm)],[])).
% 8.93/6.88 tff(32232,plain,
% 8.93/6.88 ((~(v167(constB65) <=> (v142(constB65) | v168(constB65)))) | v167(constB65)),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32231, 32230])).
% 8.93/6.88 tff(32233,plain,
% 8.93/6.88 (v167(constB65)),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32232, 32228])).
% 8.93/6.88 tff(32234,plain,
% 8.93/6.88 ((v145(constB65) | v167(constB65)) | (~v167(constB65))),
% 8.93/6.88 inference(tautology,[status(thm)],[])).
% 8.93/6.88 tff(32235,plain,
% 8.93/6.88 (v145(constB65) | v167(constB65)),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32234, 32233])).
% 8.93/6.88 tff(32236,plain,
% 8.93/6.88 ((~(v166(constB65) <=> (v145(constB65) | v167(constB65)))) | v166(constB65) | (~(v145(constB65) | v167(constB65)))),
% 8.93/6.88 inference(tautology,[status(thm)],[])).
% 8.93/6.88 tff(32237,plain,
% 8.93/6.88 (v166(constB65)),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32236, 32235, 32226])).
% 8.93/6.88 tff(32238,plain,
% 8.93/6.88 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB65)) | (v163(constB65) <=> v170(constB65)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB65)) | (v163(constB65) <=> v170(constB65)))),
% 8.93/6.88 inference(rewrite,[status(thm)],[])).
% 8.93/6.88 tff(32239,plain,
% 8.93/6.88 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB65)) | (v163(constB65) <=> v170(constB65)))),
% 8.93/6.88 inference(quant_inst,[status(thm)],[])).
% 8.93/6.88 tff(32240,plain,
% 8.93/6.88 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB65)) | (v163(constB65) <=> v170(constB65))),
% 8.93/6.88 inference(modus_ponens,[status(thm)],[32239, 32238])).
% 8.93/6.88 tff(32241,plain,
% 8.93/6.88 ((~v166(constB65)) | (v163(constB65) <=> v170(constB65))),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32240, 9851])).
% 8.93/6.88 tff(32242,plain,
% 8.93/6.88 (v163(constB65) <=> v170(constB65)),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32241, 32237])).
% 8.93/6.88 tff(32243,plain,
% 8.93/6.88 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB65) <=> (v142(constB65) | v150(constB65)))),
% 8.93/6.88 inference(quant_inst,[status(thm)],[])).
% 8.93/6.88 tff(32244,plain,
% 8.93/6.88 (v171(constB65) <=> (v142(constB65) | v150(constB65))),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32243, 9866])).
% 8.93/6.88 tff(32245,plain,
% 8.93/6.88 ((v142(constB65) | v150(constB65)) | (~v142(constB65))),
% 8.93/6.88 inference(tautology,[status(thm)],[])).
% 8.93/6.88 tff(32246,plain,
% 8.93/6.88 (v142(constB65) | v150(constB65)),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32245, 28374])).
% 8.93/6.88 tff(32247,plain,
% 8.93/6.88 ((~(v171(constB65) <=> (v142(constB65) | v150(constB65)))) | v171(constB65) | (~(v142(constB65) | v150(constB65)))),
% 8.93/6.88 inference(tautology,[status(thm)],[])).
% 8.93/6.88 tff(32248,plain,
% 8.93/6.88 ((~(v171(constB65) <=> (v142(constB65) | v150(constB65)))) | v171(constB65)),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32247, 32246])).
% 8.93/6.88 tff(32249,plain,
% 8.93/6.88 (v171(constB65)),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32248, 32244])).
% 8.93/6.88 tff(32250,plain,
% 8.93/6.88 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB65)) | (~v171(constB65)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB65)) | (~v171(constB65)))),
% 8.93/6.88 inference(rewrite,[status(thm)],[])).
% 8.93/6.88 tff(32251,plain,
% 8.93/6.88 (((~v171(constB65)) | (~v170(constB65))) <=> ((~v170(constB65)) | (~v171(constB65)))),
% 8.93/6.88 inference(rewrite,[status(thm)],[])).
% 8.93/6.88 tff(32252,plain,
% 8.93/6.88 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB65)) | (~v170(constB65)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB65)) | (~v171(constB65))))),
% 8.93/6.88 inference(monotonicity,[status(thm)],[32251])).
% 8.93/6.88 tff(32253,plain,
% 8.93/6.88 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB65)) | (~v170(constB65)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB65)) | (~v171(constB65)))),
% 8.93/6.88 inference(transitivity,[status(thm)],[32252, 32250])).
% 8.93/6.88 tff(32254,plain,
% 8.93/6.88 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB65)) | (~v170(constB65)))),
% 8.93/6.88 inference(quant_inst,[status(thm)],[])).
% 8.93/6.88 tff(32255,plain,
% 8.93/6.88 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB65)) | (~v171(constB65))),
% 8.93/6.88 inference(modus_ponens,[status(thm)],[32254, 32253])).
% 8.93/6.88 tff(32256,plain,
% 8.93/6.88 (~v170(constB65)),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32255, 9899, 32249])).
% 8.93/6.88 tff(32257,plain,
% 8.93/6.88 ((~(v163(constB65) <=> v170(constB65))) | (~v163(constB65)) | v170(constB65)),
% 8.93/6.88 inference(tautology,[status(thm)],[])).
% 8.93/6.88 tff(32258,plain,
% 8.93/6.88 (~v163(constB65)),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32257, 32256, 32242])).
% 8.93/6.88 tff(32259,plain,
% 8.93/6.88 ((~(v161(constB65) <=> v163(constB65))) | (~v161(constB65)) | v163(constB65)),
% 8.93/6.88 inference(tautology,[status(thm)],[])).
% 8.93/6.88 tff(32260,plain,
% 8.93/6.88 (~v161(constB65)),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32259, 32258, 32224])).
% 8.93/6.88 tff(32261,plain,
% 8.93/6.88 (((~v159(constB65)) | (~v161(constB65))) | v161(constB65)),
% 8.93/6.88 inference(tautology,[status(thm)],[])).
% 8.93/6.88 tff(32262,plain,
% 8.93/6.88 ((~v159(constB65)) | (~v161(constB65))),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32261, 32260])).
% 8.93/6.88 tff(32263,plain,
% 8.93/6.88 ((~(v201(constB65) <=> (~((~v159(constB65)) | (~v161(constB65)))))) | (~v201(constB65)) | (~((~v159(constB65)) | (~v161(constB65))))),
% 8.93/6.88 inference(tautology,[status(thm)],[])).
% 8.93/6.88 tff(32264,plain,
% 8.93/6.88 (~v201(constB65)),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32263, 32262, 32222])).
% 8.93/6.88 tff(32265,plain,
% 8.93/6.88 (((~v197(constB65)) | (~v201(constB65))) | v201(constB65)),
% 8.93/6.88 inference(tautology,[status(thm)],[])).
% 8.93/6.88 tff(32266,plain,
% 8.93/6.88 ((~v197(constB65)) | (~v201(constB65))),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32265, 32264])).
% 8.93/6.88 tff(32267,plain,
% 8.93/6.88 ((~(v200(constB65) <=> (~((~v197(constB65)) | (~v201(constB65)))))) | (~v200(constB65)) | (~((~v197(constB65)) | (~v201(constB65))))),
% 8.93/6.88 inference(tautology,[status(thm)],[])).
% 8.93/6.88 tff(32268,plain,
% 8.93/6.88 (~v200(constB65)),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32267, 32266, 32220])).
% 8.93/6.88 tff(32269,plain,
% 8.93/6.88 (((~v199(constB65)) | (~v200(constB65))) | v200(constB65)),
% 8.93/6.88 inference(tautology,[status(thm)],[])).
% 8.93/6.88 tff(32270,plain,
% 8.93/6.88 ((~v199(constB65)) | (~v200(constB65))),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32269, 32268])).
% 8.93/6.88 tff(32271,plain,
% 8.93/6.88 ((~(v198(constB65) <=> (~((~v199(constB65)) | (~v200(constB65)))))) | (~v198(constB65)) | (~((~v199(constB65)) | (~v200(constB65))))),
% 8.93/6.88 inference(tautology,[status(thm)],[])).
% 8.93/6.88 tff(32272,plain,
% 8.93/6.88 (~v198(constB65)),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32271, 32270, 32218])).
% 8.93/6.88 tff(32273,plain,
% 8.93/6.88 ((~(v194(constB65) | v198(constB65))) | v194(constB65) | v198(constB65)),
% 8.93/6.88 inference(tautology,[status(thm)],[])).
% 8.93/6.88 tff(32274,plain,
% 8.93/6.88 (~(v194(constB65) | v198(constB65))),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32273, 32272, 32216])).
% 8.93/6.88 tff(32275,plain,
% 8.93/6.88 ((~(v191(constB65) <=> (v194(constB65) | v198(constB65)))) | (~v191(constB65)) | (v194(constB65) | v198(constB65))),
% 8.93/6.88 inference(tautology,[status(thm)],[])).
% 8.93/6.88 tff(32276,plain,
% 8.93/6.88 (~v191(constB65)),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32275, 32274, 32143])).
% 8.93/6.88 tff(32277,plain,
% 8.93/6.88 ((~(v193(constB66) <=> v191(constB65))) | (~v193(constB66)) | v191(constB65)),
% 8.93/6.88 inference(tautology,[status(thm)],[])).
% 8.93/6.88 tff(32278,plain,
% 8.93/6.88 (~v193(constB66)),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32277, 32276, 32141])).
% 8.93/6.88 tff(32279,plain,
% 8.93/6.88 ((~(v157(constB66) <=> v193(constB66))) | (~v157(constB66)) | v193(constB66)),
% 8.93/6.88 inference(tautology,[status(thm)],[])).
% 8.93/6.88 tff(32280,plain,
% 8.93/6.88 (~v157(constB66)),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32279, 32278, 32137])).
% 8.93/6.88 tff(32281,plain,
% 8.93/6.88 (((~v157(constB66)) | (~v195(constB66))) | v157(constB66)),
% 8.93/6.88 inference(tautology,[status(thm)],[])).
% 8.93/6.88 tff(32282,plain,
% 8.93/6.88 ((~v157(constB66)) | (~v195(constB66))),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32281, 32280])).
% 8.93/6.88 tff(32283,plain,
% 8.93/6.88 ((~(v194(constB66) <=> (~((~v157(constB66)) | (~v195(constB66)))))) | (~v194(constB66)) | (~((~v157(constB66)) | (~v195(constB66))))),
% 8.93/6.88 inference(tautology,[status(thm)],[])).
% 8.93/6.88 tff(32284,plain,
% 8.93/6.88 (~v194(constB66)),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32283, 32282, 32135])).
% 8.93/6.88 tff(32285,plain,
% 8.93/6.88 ((~(v194(constB66) | v198(constB66))) | v194(constB66) | v198(constB66)),
% 8.93/6.88 inference(tautology,[status(thm)],[])).
% 8.93/6.88 tff(32286,plain,
% 8.93/6.88 (~(v194(constB66) | v198(constB66))),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32285, 32284, 32128])).
% 8.93/6.88 tff(32287,plain,
% 8.93/6.88 ((~(v191(constB66) <=> (v194(constB66) | v198(constB66)))) | (~v191(constB66)) | (v194(constB66) | v198(constB66))),
% 8.93/6.88 inference(tautology,[status(thm)],[])).
% 8.93/6.88 tff(32288,plain,
% 8.93/6.88 (~v191(constB66)),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32287, 32286, 32103])).
% 8.93/6.88 tff(32289,plain,
% 8.93/6.88 ((~(v193(constB67) <=> v191(constB66))) | (~v193(constB67)) | v191(constB66)),
% 8.93/6.88 inference(tautology,[status(thm)],[])).
% 8.93/6.88 tff(32290,plain,
% 8.93/6.88 (~v193(constB67)),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32289, 32288, 32101])).
% 8.93/6.88 tff(32291,plain,
% 8.93/6.88 ($false),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32290, 32097])).
% 8.93/6.88 tff(32292,plain,(~(constB67 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.93/6.88 tff(32293,assumption,(constB27 = VarCurr!0), introduced(assumption)).
% 8.93/6.88 tff(32294,plain,
% 8.93/6.88 (v193(constB27) <=> v193(VarCurr!0)),
% 8.93/6.88 inference(monotonicity,[status(thm)],[32293])).
% 8.93/6.88 tff(32295,plain,
% 8.93/6.88 (v193(VarCurr!0) <=> v193(constB27)),
% 8.93/6.88 inference(symmetry,[status(thm)],[32294])).
% 8.93/6.88 tff(32296,plain,
% 8.93/6.88 (v193(constB27)),
% 8.93/6.88 inference(modus_ponens,[status(thm)],[59, 32295])).
% 8.93/6.88 tff(32297,plain,
% 8.93/6.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB26, constB27)) | (v193(constB27) <=> v191(constB26)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB26, constB27)) | (v193(constB27) <=> v191(constB26)))),
% 8.93/6.88 inference(rewrite,[status(thm)],[])).
% 8.93/6.88 tff(32298,plain,
% 8.93/6.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB26, constB27)) | (v193(constB27) <=> v191(constB26)))),
% 8.93/6.88 inference(quant_inst,[status(thm)],[])).
% 8.93/6.88 tff(32299,plain,
% 8.93/6.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB26, constB27)) | (v193(constB27) <=> v191(constB26))),
% 8.93/6.88 inference(modus_ponens,[status(thm)],[32298, 32297])).
% 8.93/6.88 tff(32300,plain,
% 8.93/6.88 (v193(constB27) <=> v191(constB26)),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32299, 2309, 70])).
% 8.93/6.88 tff(32301,plain,
% 8.93/6.88 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB26) <=> (v194(constB26) | v198(constB26)))),
% 8.93/6.88 inference(quant_inst,[status(thm)],[])).
% 8.93/6.88 tff(32302,plain,
% 8.93/6.88 (v191(constB26) <=> (v194(constB26) | v198(constB26))),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32301, 84])).
% 8.93/6.88 tff(32303,plain,
% 8.93/6.88 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB26) <=> (~((~v199(constB26)) | (~v200(constB26)))))),
% 8.93/6.88 inference(quant_inst,[status(thm)],[])).
% 8.93/6.88 tff(32304,plain,
% 8.93/6.88 (v198(constB26) <=> (~((~v199(constB26)) | (~v200(constB26))))),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32303, 96])).
% 8.93/6.88 tff(32305,plain,
% 8.93/6.88 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB26) <=> (~((~v197(constB26)) | (~v201(constB26)))))),
% 8.93/6.88 inference(quant_inst,[status(thm)],[])).
% 8.93/6.88 tff(32306,plain,
% 8.93/6.88 (v200(constB26) <=> (~((~v197(constB26)) | (~v201(constB26))))),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32305, 108])).
% 8.93/6.88 tff(32307,plain,
% 8.93/6.88 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB26) <=> (~((~v39(constB26)) | (~v9(constB26)))))),
% 8.93/6.88 inference(quant_inst,[status(thm)],[])).
% 8.93/6.88 tff(32308,plain,
% 8.93/6.88 (v197(constB26) <=> (~((~v39(constB26)) | (~v9(constB26))))),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32307, 120])).
% 8.93/6.88 tff(32309,plain,
% 8.93/6.88 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB26)) <=> v1(constB26))),
% 8.93/6.88 inference(quant_inst,[status(thm)],[])).
% 8.93/6.88 tff(32310,plain,
% 8.93/6.88 ((~v39(constB26)) <=> v1(constB26)),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32309, 129])).
% 8.93/6.88 tff(32311,plain,
% 8.93/6.88 ((~((~v39(constB26)) <=> v1(constB26))) | (~v39(constB26)) | (~v1(constB26))),
% 8.93/6.88 inference(tautology,[status(thm)],[])).
% 8.93/6.88 tff(32312,plain,
% 8.93/6.88 ((~((~v39(constB26)) <=> v1(constB26))) | (~v39(constB26))),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32311, 5389])).
% 8.93/6.88 tff(32313,plain,
% 8.93/6.88 (~v39(constB26)),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32312, 32310])).
% 8.93/6.88 tff(32314,plain,
% 8.93/6.88 (((~v39(constB26)) | (~v9(constB26))) | v39(constB26)),
% 8.93/6.88 inference(tautology,[status(thm)],[])).
% 8.93/6.88 tff(32315,plain,
% 8.93/6.88 ((~v39(constB26)) | (~v9(constB26))),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32314, 32313])).
% 8.93/6.88 tff(32316,plain,
% 8.93/6.88 ((~(v197(constB26) <=> (~((~v39(constB26)) | (~v9(constB26)))))) | (~v197(constB26)) | (~((~v39(constB26)) | (~v9(constB26))))),
% 8.93/6.88 inference(tautology,[status(thm)],[])).
% 8.93/6.88 tff(32317,plain,
% 8.93/6.88 ((~(v197(constB26) <=> (~((~v39(constB26)) | (~v9(constB26)))))) | (~v197(constB26))),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32316, 32315])).
% 8.93/6.88 tff(32318,plain,
% 8.93/6.88 (~v197(constB26)),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32317, 32308])).
% 8.93/6.88 tff(32319,plain,
% 8.93/6.88 (((~v197(constB26)) | (~v201(constB26))) | v197(constB26)),
% 8.93/6.88 inference(tautology,[status(thm)],[])).
% 8.93/6.88 tff(32320,plain,
% 8.93/6.88 ((~v197(constB26)) | (~v201(constB26))),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32319, 32318])).
% 8.93/6.88 tff(32321,plain,
% 8.93/6.88 ((~(v200(constB26) <=> (~((~v197(constB26)) | (~v201(constB26)))))) | (~v200(constB26)) | (~((~v197(constB26)) | (~v201(constB26))))),
% 8.93/6.88 inference(tautology,[status(thm)],[])).
% 8.93/6.88 tff(32322,plain,
% 8.93/6.88 ((~(v200(constB26) <=> (~((~v197(constB26)) | (~v201(constB26)))))) | (~v200(constB26))),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32321, 32320])).
% 8.93/6.88 tff(32323,plain,
% 8.93/6.88 (~v200(constB26)),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32322, 32306])).
% 8.93/6.88 tff(32324,plain,
% 8.93/6.88 (((~v199(constB26)) | (~v200(constB26))) | v200(constB26)),
% 8.93/6.88 inference(tautology,[status(thm)],[])).
% 8.93/6.88 tff(32325,plain,
% 8.93/6.88 ((~v199(constB26)) | (~v200(constB26))),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32324, 32323])).
% 8.93/6.88 tff(32326,plain,
% 8.93/6.88 ((~(v198(constB26) <=> (~((~v199(constB26)) | (~v200(constB26)))))) | (~v198(constB26)) | (~((~v199(constB26)) | (~v200(constB26))))),
% 8.93/6.88 inference(tautology,[status(thm)],[])).
% 8.93/6.88 tff(32327,plain,
% 8.93/6.88 (~v198(constB26)),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32326, 32325, 32304])).
% 8.93/6.88 tff(32328,plain,
% 8.93/6.88 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB26) <=> (~((~v157(constB26)) | (~v195(constB26)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB26) <=> (~((~v157(constB26)) | (~v195(constB26))))))),
% 8.93/6.88 inference(rewrite,[status(thm)],[])).
% 8.93/6.88 tff(32329,plain,
% 8.93/6.88 ((v194(constB26) <=> (~((~v195(constB26)) | (~v157(constB26))))) <=> (v194(constB26) <=> (~((~v157(constB26)) | (~v195(constB26)))))),
% 8.93/6.88 inference(rewrite,[status(thm)],[])).
% 8.93/6.88 tff(32330,plain,
% 8.93/6.88 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB26) <=> (~((~v195(constB26)) | (~v157(constB26)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB26) <=> (~((~v157(constB26)) | (~v195(constB26))))))),
% 8.93/6.88 inference(monotonicity,[status(thm)],[32329])).
% 8.93/6.88 tff(32331,plain,
% 8.93/6.88 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB26) <=> (~((~v195(constB26)) | (~v157(constB26)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB26) <=> (~((~v157(constB26)) | (~v195(constB26))))))),
% 8.93/6.88 inference(transitivity,[status(thm)],[32330, 32328])).
% 8.93/6.88 tff(32332,plain,
% 8.93/6.88 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB26) <=> (~((~v195(constB26)) | (~v157(constB26)))))),
% 8.93/6.88 inference(quant_inst,[status(thm)],[])).
% 8.93/6.88 tff(32333,plain,
% 8.93/6.88 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB26) <=> (~((~v157(constB26)) | (~v195(constB26)))))),
% 8.93/6.88 inference(modus_ponens,[status(thm)],[32332, 32331])).
% 8.93/6.88 tff(32334,plain,
% 8.93/6.88 (v194(constB26) <=> (~((~v157(constB26)) | (~v195(constB26))))),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32333, 161])).
% 8.93/6.88 tff(32335,plain,
% 8.93/6.88 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB26) <=> v193(constB26))),
% 8.93/6.88 inference(quant_inst,[status(thm)],[])).
% 8.93/6.88 tff(32336,plain,
% 8.93/6.88 (v157(constB26) <=> v193(constB26)),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32335, 13])).
% 8.93/6.88 tff(32337,plain,
% 8.93/6.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB25, constB26)) | (v193(constB26) <=> v191(constB25)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB25, constB26)) | (v193(constB26) <=> v191(constB25)))),
% 8.93/6.88 inference(rewrite,[status(thm)],[])).
% 8.93/6.88 tff(32338,plain,
% 8.93/6.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB25, constB26)) | (v193(constB26) <=> v191(constB25)))),
% 8.93/6.88 inference(quant_inst,[status(thm)],[])).
% 8.93/6.88 tff(32339,plain,
% 8.93/6.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB25, constB26)) | (v193(constB26) <=> v191(constB25))),
% 8.93/6.88 inference(modus_ponens,[status(thm)],[32338, 32337])).
% 8.93/6.88 tff(32340,plain,
% 8.93/6.88 (v193(constB26) <=> v191(constB25)),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32339, 2345, 70])).
% 8.93/6.88 tff(32341,plain,
% 8.93/6.88 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB25) <=> (v194(constB25) | v198(constB25)))),
% 8.93/6.88 inference(quant_inst,[status(thm)],[])).
% 8.93/6.88 tff(32342,plain,
% 8.93/6.88 (v191(constB25) <=> (v194(constB25) | v198(constB25))),
% 8.93/6.88 inference(unit_resolution,[status(thm)],[32341, 84])).
% 8.93/6.88 tff(32343,plain,
% 8.93/6.88 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB25) <=> (~((~v157(constB25)) | (~v195(constB25)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB25) <=> (~((~v157(constB25)) | (~v195(constB25))))))),
% 8.93/6.88 inference(rewrite,[status(thm)],[])).
% 8.93/6.88 tff(32344,plain,
% 8.93/6.88 ((v194(constB25) <=> (~((~v195(constB25)) | (~v157(constB25))))) <=> (v194(constB25) <=> (~((~v157(constB25)) | (~v195(constB25)))))),
% 8.93/6.88 inference(rewrite,[status(thm)],[])).
% 8.93/6.88 tff(32345,plain,
% 8.93/6.88 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB25) <=> (~((~v195(constB25)) | (~v157(constB25)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB25) <=> (~((~v157(constB25)) | (~v195(constB25))))))),
% 8.93/6.88 inference(monotonicity,[status(thm)],[32344])).
% 8.93/6.88 tff(32346,plain,
% 8.93/6.88 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB25) <=> (~((~v195(constB25)) | (~v157(constB25)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB25) <=> (~((~v157(constB25)) | (~v195(constB25))))))),
% 8.93/6.89 inference(transitivity,[status(thm)],[32345, 32343])).
% 8.93/6.89 tff(32347,plain,
% 8.93/6.89 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB25) <=> (~((~v195(constB25)) | (~v157(constB25)))))),
% 8.93/6.89 inference(quant_inst,[status(thm)],[])).
% 8.93/6.89 tff(32348,plain,
% 8.93/6.89 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB25) <=> (~((~v157(constB25)) | (~v195(constB25)))))),
% 8.93/6.89 inference(modus_ponens,[status(thm)],[32347, 32346])).
% 8.93/6.89 tff(32349,plain,
% 8.93/6.89 (v194(constB25) <=> (~((~v157(constB25)) | (~v195(constB25))))),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32348, 161])).
% 8.93/6.89 tff(32350,plain,
% 8.93/6.89 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB25)) <=> v196(constB25))),
% 8.93/6.89 inference(quant_inst,[status(thm)],[])).
% 8.93/6.89 tff(32351,plain,
% 8.93/6.89 ((~v195(constB25)) <=> v196(constB25)),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32350, 193])).
% 8.93/6.89 tff(32352,plain,
% 8.93/6.89 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB25) <=> (v197(constB25) | v26(constB25)))),
% 8.93/6.89 inference(quant_inst,[status(thm)],[])).
% 8.93/6.89 tff(32353,plain,
% 8.93/6.89 (v196(constB25) <=> (v197(constB25) | v26(constB25))),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32352, 202])).
% 8.93/6.89 tff(32354,plain,
% 8.93/6.89 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB25) <=> (~((~v39(constB25)) | (~v9(constB25)))))),
% 8.93/6.89 inference(quant_inst,[status(thm)],[])).
% 8.93/6.89 tff(32355,plain,
% 8.93/6.89 (v197(constB25) <=> (~((~v39(constB25)) | (~v9(constB25))))),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32354, 120])).
% 8.93/6.89 tff(32356,plain,
% 8.93/6.89 (((~![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)))),
% 8.93/6.89 inference(rewrite,[status(thm)],[])).
% 8.93/6.89 tff(32357,plain,
% 8.93/6.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB25, constB26)) | (v13(constB26) <=> v9(constB25)))),
% 8.93/6.89 inference(quant_inst,[status(thm)],[])).
% 8.93/6.89 tff(32358,plain,
% 8.93/6.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB25, constB26)) | (v13(constB26) <=> v9(constB25))),
% 8.93/6.89 inference(modus_ponens,[status(thm)],[32357, 32356])).
% 8.93/6.89 tff(32359,plain,
% 8.93/6.89 (v13(constB26) <=> v9(constB25)),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32358, 2345, 216])).
% 8.93/6.89 tff(32360,plain,
% 8.93/6.89 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB26) <=> v13(constB26))),
% 8.93/6.89 inference(quant_inst,[status(thm)],[])).
% 8.93/6.89 tff(32361,plain,
% 8.93/6.89 (v6(constB26) <=> v13(constB26)),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32360, 230])).
% 8.93/6.89 tff(32362,plain,
% 8.93/6.89 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB26)) <=> v6(constB26))),
% 8.93/6.89 inference(quant_inst,[status(thm)],[])).
% 8.93/6.89 tff(32363,plain,
% 8.93/6.89 ((~v21(constB26)) <=> v6(constB26)),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32362, 239])).
% 8.93/6.89 tff(32364,plain,
% 8.93/6.89 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB26) <=> (v20(constB26) | v21(constB26)))),
% 8.93/6.89 inference(quant_inst,[status(thm)],[])).
% 8.93/6.89 tff(32365,plain,
% 8.93/6.89 (v19(constB26) <=> (v20(constB26) | v21(constB26))),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32364, 248])).
% 8.93/6.89 tff(32366,plain,
% 8.93/6.89 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB26) <=> (~((~v19(constB26)) | (~v22(constB26)))))),
% 8.93/6.89 inference(quant_inst,[status(thm)],[])).
% 8.93/6.89 tff(32367,plain,
% 8.93/6.89 (v18(constB26) <=> (~((~v19(constB26)) | (~v22(constB26))))),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32366, 260])).
% 8.93/6.89 tff(32368,plain,
% 8.93/6.89 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB26)) <=> v18(constB26))),
% 8.93/6.89 inference(quant_inst,[status(thm)],[])).
% 8.93/6.89 tff(32369,plain,
% 8.93/6.89 ((~v4(constB26)) <=> v18(constB26)),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32368, 269])).
% 8.93/6.89 tff(32370,plain,
% 8.93/6.89 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB26)),
% 8.93/6.89 inference(quant_inst,[status(thm)],[])).
% 8.93/6.89 tff(32371,plain,
% 8.93/6.89 (v4(constB26)),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32370, 278])).
% 8.93/6.89 tff(32372,plain,
% 8.93/6.89 ((~((~v4(constB26)) <=> v18(constB26))) | (~v4(constB26)) | (~v18(constB26))),
% 8.93/6.89 inference(tautology,[status(thm)],[])).
% 8.93/6.89 tff(32373,plain,
% 8.93/6.89 (~v18(constB26)),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32372, 32371, 32369])).
% 8.93/6.89 tff(32374,plain,
% 8.93/6.89 ((~(v18(constB26) <=> (~((~v19(constB26)) | (~v22(constB26)))))) | v18(constB26) | ((~v19(constB26)) | (~v22(constB26)))),
% 8.93/6.89 inference(tautology,[status(thm)],[])).
% 8.93/6.89 tff(32375,plain,
% 8.93/6.89 ((~v19(constB26)) | (~v22(constB26))),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32374, 32373, 32367])).
% 8.93/6.89 tff(32376,plain,
% 8.93/6.89 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB26) <=> (v1(constB26) | v6(constB26)))),
% 8.93/6.89 inference(quant_inst,[status(thm)],[])).
% 8.93/6.89 tff(32377,plain,
% 8.93/6.89 (v22(constB26) <=> (v1(constB26) | v6(constB26))),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32376, 291])).
% 8.93/6.89 tff(32378,plain,
% 8.93/6.89 ((v1(constB26) | v6(constB26)) | (~v1(constB26))),
% 8.93/6.89 inference(tautology,[status(thm)],[])).
% 8.93/6.89 tff(32379,plain,
% 8.93/6.89 (v1(constB26) | v6(constB26)),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32378, 5389])).
% 8.93/6.89 tff(32380,plain,
% 8.93/6.89 ((~(v22(constB26) <=> (v1(constB26) | v6(constB26)))) | v22(constB26) | (~(v1(constB26) | v6(constB26)))),
% 8.93/6.89 inference(tautology,[status(thm)],[])).
% 8.93/6.89 tff(32381,plain,
% 8.93/6.89 ((~(v22(constB26) <=> (v1(constB26) | v6(constB26)))) | v22(constB26)),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32380, 32379])).
% 8.93/6.89 tff(32382,plain,
% 8.93/6.89 (v22(constB26)),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32381, 32377])).
% 8.93/6.89 tff(32383,plain,
% 8.93/6.89 ((~((~v19(constB26)) | (~v22(constB26)))) | (~v19(constB26)) | (~v22(constB26))),
% 8.93/6.89 inference(tautology,[status(thm)],[])).
% 8.93/6.89 tff(32384,plain,
% 8.93/6.89 ((~((~v19(constB26)) | (~v22(constB26)))) | (~v19(constB26))),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32383, 32382])).
% 8.93/6.89 tff(32385,plain,
% 8.93/6.89 (~v19(constB26)),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32384, 32375])).
% 8.93/6.89 tff(32386,plain,
% 8.93/6.89 ((~(v19(constB26) <=> (v20(constB26) | v21(constB26)))) | v19(constB26) | (~(v20(constB26) | v21(constB26)))),
% 8.93/6.89 inference(tautology,[status(thm)],[])).
% 8.93/6.89 tff(32387,plain,
% 8.93/6.89 (~(v20(constB26) | v21(constB26))),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32386, 32385, 32365])).
% 8.93/6.89 tff(32388,plain,
% 8.93/6.89 ((v20(constB26) | v21(constB26)) | (~v21(constB26))),
% 8.93/6.89 inference(tautology,[status(thm)],[])).
% 8.93/6.89 tff(32389,plain,
% 8.93/6.89 (~v21(constB26)),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32388, 32387])).
% 8.93/6.89 tff(32390,plain,
% 8.93/6.89 ((~((~v21(constB26)) <=> v6(constB26))) | v21(constB26) | v6(constB26)),
% 8.93/6.89 inference(tautology,[status(thm)],[])).
% 8.93/6.89 tff(32391,plain,
% 8.93/6.89 (v6(constB26)),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32390, 32389, 32363])).
% 8.93/6.89 tff(32392,plain,
% 8.93/6.89 ((~(v6(constB26) <=> v13(constB26))) | (~v6(constB26)) | v13(constB26)),
% 8.93/6.89 inference(tautology,[status(thm)],[])).
% 8.93/6.89 tff(32393,plain,
% 8.93/6.89 (v13(constB26)),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32392, 32391, 32361])).
% 8.93/6.89 tff(32394,plain,
% 8.93/6.89 ((~(v13(constB26) <=> v9(constB25))) | (~v13(constB26)) | v9(constB25)),
% 8.93/6.89 inference(tautology,[status(thm)],[])).
% 8.93/6.89 tff(32395,plain,
% 8.93/6.89 (v9(constB25)),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32394, 32393, 32359])).
% 8.93/6.89 tff(32396,plain,
% 8.93/6.89 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB25)) <=> v1(constB25))),
% 8.93/6.89 inference(quant_inst,[status(thm)],[])).
% 8.93/6.89 tff(32397,plain,
% 8.93/6.89 ((~v39(constB25)) <=> v1(constB25)),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32396, 129])).
% 8.93/6.89 tff(32398,plain,
% 8.93/6.89 ((~((~v39(constB25)) <=> v1(constB25))) | v39(constB25) | v1(constB25)),
% 8.93/6.89 inference(tautology,[status(thm)],[])).
% 8.93/6.89 tff(32399,plain,
% 8.93/6.89 ((~((~v39(constB25)) <=> v1(constB25))) | v39(constB25)),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32398, 2384])).
% 8.93/6.89 tff(32400,plain,
% 8.93/6.89 (v39(constB25)),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32399, 32397])).
% 8.93/6.89 tff(32401,plain,
% 8.93/6.89 ((~((~v39(constB25)) | (~v9(constB25)))) | (~v39(constB25)) | (~v9(constB25))),
% 8.93/6.89 inference(tautology,[status(thm)],[])).
% 8.93/6.89 tff(32402,plain,
% 8.93/6.89 ((~((~v39(constB25)) | (~v9(constB25)))) | (~v9(constB25))),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32401, 32400])).
% 8.93/6.89 tff(32403,plain,
% 8.93/6.89 (~((~v39(constB25)) | (~v9(constB25)))),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32402, 32395])).
% 8.93/6.89 tff(32404,plain,
% 8.93/6.89 ((~(v197(constB25) <=> (~((~v39(constB25)) | (~v9(constB25)))))) | v197(constB25) | ((~v39(constB25)) | (~v9(constB25)))),
% 8.93/6.89 inference(tautology,[status(thm)],[])).
% 8.93/6.89 tff(32405,plain,
% 8.93/6.89 (v197(constB25)),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32404, 32403, 32355])).
% 8.93/6.89 tff(32406,plain,
% 8.93/6.89 ((v197(constB25) | v26(constB25)) | (~v197(constB25))),
% 8.93/6.89 inference(tautology,[status(thm)],[])).
% 8.93/6.89 tff(32407,plain,
% 8.93/6.89 (v197(constB25) | v26(constB25)),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32406, 32405])).
% 8.93/6.89 tff(32408,plain,
% 8.93/6.89 ((~(v196(constB25) <=> (v197(constB25) | v26(constB25)))) | v196(constB25) | (~(v197(constB25) | v26(constB25)))),
% 8.93/6.89 inference(tautology,[status(thm)],[])).
% 8.93/6.89 tff(32409,plain,
% 8.93/6.89 (v196(constB25)),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32408, 32407, 32353])).
% 8.93/6.89 tff(32410,plain,
% 8.93/6.89 ((~((~v195(constB25)) <=> v196(constB25))) | (~v195(constB25)) | (~v196(constB25))),
% 8.93/6.89 inference(tautology,[status(thm)],[])).
% 8.93/6.89 tff(32411,plain,
% 8.93/6.89 (~v195(constB25)),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32410, 32409, 32351])).
% 8.93/6.89 tff(32412,plain,
% 8.93/6.89 (((~v157(constB25)) | (~v195(constB25))) | v195(constB25)),
% 8.93/6.89 inference(tautology,[status(thm)],[])).
% 8.93/6.89 tff(32413,plain,
% 8.93/6.89 ((~v157(constB25)) | (~v195(constB25))),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32412, 32411])).
% 8.93/6.89 tff(32414,plain,
% 8.93/6.89 ((~(v194(constB25) <=> (~((~v157(constB25)) | (~v195(constB25)))))) | (~v194(constB25)) | (~((~v157(constB25)) | (~v195(constB25))))),
% 8.93/6.89 inference(tautology,[status(thm)],[])).
% 8.93/6.89 tff(32415,plain,
% 8.93/6.89 (~v194(constB25)),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32414, 32413, 32349])).
% 8.93/6.89 tff(32416,plain,
% 8.93/6.89 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB25) <=> (~((~v199(constB25)) | (~v200(constB25)))))),
% 8.93/6.89 inference(quant_inst,[status(thm)],[])).
% 8.93/6.89 tff(32417,plain,
% 8.93/6.89 (v198(constB25) <=> (~((~v199(constB25)) | (~v200(constB25))))),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32416, 96])).
% 8.93/6.89 tff(32418,plain,
% 8.93/6.89 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB25) <=> (~((~v197(constB25)) | (~v201(constB25)))))),
% 8.93/6.89 inference(quant_inst,[status(thm)],[])).
% 8.93/6.89 tff(32419,plain,
% 8.93/6.89 (v200(constB25) <=> (~((~v197(constB25)) | (~v201(constB25))))),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32418, 108])).
% 8.93/6.89 tff(32420,plain,
% 8.93/6.89 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB25) <=> (~((~v159(constB25)) | (~v161(constB25)))))),
% 8.93/6.89 inference(quant_inst,[status(thm)],[])).
% 8.93/6.89 tff(32421,plain,
% 8.93/6.89 (v201(constB25) <=> (~((~v159(constB25)) | (~v161(constB25))))),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32420, 348])).
% 8.93/6.89 tff(32422,plain,
% 8.93/6.89 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB25) <=> v163(constB25))),
% 8.93/6.89 inference(quant_inst,[status(thm)],[])).
% 8.93/6.89 tff(32423,plain,
% 8.93/6.89 (v161(constB25) <=> v163(constB25)),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32422, 357])).
% 8.93/6.89 tff(32424,plain,
% 8.93/6.89 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB25) <=> (v145(constB25) | v167(constB25)))),
% 8.93/6.89 inference(quant_inst,[status(thm)],[])).
% 8.93/6.89 tff(32425,plain,
% 8.93/6.89 (v166(constB25) <=> (v145(constB25) | v167(constB25))),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32424, 369])).
% 8.93/6.89 tff(32426,plain,
% 8.93/6.89 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB25) <=> (v142(constB25) | v168(constB25)))),
% 8.93/6.89 inference(quant_inst,[status(thm)],[])).
% 8.93/6.89 tff(32427,plain,
% 8.93/6.89 (v167(constB25) <=> (v142(constB25) | v168(constB25))),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32426, 381])).
% 8.93/6.89 tff(32428,plain,
% 8.93/6.89 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB25) <=> (v143(constB25) | v144(constB25)))),
% 8.93/6.89 inference(quant_inst,[status(thm)],[])).
% 8.93/6.89 tff(32429,plain,
% 8.93/6.89 (v142(constB25) <=> (v143(constB25) | v144(constB25))),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32428, 10332])).
% 8.93/6.89 tff(32430,plain,
% 8.93/6.89 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB25) <=> (~((~v88(constB25, bitIndex1)) | (~v88(constB25, bitIndex2)) | v88(constB25, bitIndex0))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB25) <=> (~((~v88(constB25, bitIndex1)) | (~v88(constB25, bitIndex2)) | v88(constB25, bitIndex0)))))),
% 8.93/6.89 inference(rewrite,[status(thm)],[])).
% 8.93/6.89 tff(32431,plain,
% 8.93/6.89 ((v144(constB25) <=> (~(v88(constB25, bitIndex0) | (~v88(constB25, bitIndex1)) | (~v88(constB25, bitIndex2))))) <=> (v144(constB25) <=> (~((~v88(constB25, bitIndex1)) | (~v88(constB25, bitIndex2)) | v88(constB25, bitIndex0))))),
% 8.93/6.89 inference(rewrite,[status(thm)],[])).
% 8.93/6.89 tff(32432,plain,
% 8.93/6.89 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB25) <=> (~(v88(constB25, bitIndex0) | (~v88(constB25, bitIndex1)) | (~v88(constB25, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB25) <=> (~((~v88(constB25, bitIndex1)) | (~v88(constB25, bitIndex2)) | v88(constB25, bitIndex0)))))),
% 8.93/6.89 inference(monotonicity,[status(thm)],[32431])).
% 8.93/6.89 tff(32433,plain,
% 8.93/6.89 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB25) <=> (~(v88(constB25, bitIndex0) | (~v88(constB25, bitIndex1)) | (~v88(constB25, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB25) <=> (~((~v88(constB25, bitIndex1)) | (~v88(constB25, bitIndex2)) | v88(constB25, bitIndex0)))))),
% 8.93/6.89 inference(transitivity,[status(thm)],[32432, 32430])).
% 8.93/6.89 tff(32434,plain,
% 8.93/6.89 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB25) <=> (~(v88(constB25, bitIndex0) | (~v88(constB25, bitIndex1)) | (~v88(constB25, bitIndex2)))))),
% 8.93/6.89 inference(quant_inst,[status(thm)],[])).
% 8.93/6.89 tff(32435,plain,
% 8.93/6.89 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB25) <=> (~((~v88(constB25, bitIndex1)) | (~v88(constB25, bitIndex2)) | v88(constB25, bitIndex0))))),
% 8.93/6.89 inference(modus_ponens,[status(thm)],[32434, 32433])).
% 8.93/6.89 tff(32436,plain,
% 8.93/6.89 (v144(constB25) <=> (~((~v88(constB25, bitIndex1)) | (~v88(constB25, bitIndex2)) | v88(constB25, bitIndex0)))),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32435, 10347])).
% 8.93/6.89 tff(32437,plain,
% 8.93/6.89 ((~![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))) | (~(((~v88(constB25, bitIndex1)) <=> v90(constB25, bitIndex1)) | ((~v88(constB25, bitIndex2)) <=> v90(constB25, bitIndex2)) | ((~v88(constB25, bitIndex0)) <=> v90(constB25, bitIndex0))))),
% 8.93/6.89 inference(quant_inst,[status(thm)],[])).
% 8.93/6.89 tff(32438,plain,
% 8.93/6.89 (~(((~v88(constB25, bitIndex1)) <=> v90(constB25, bitIndex1)) | ((~v88(constB25, bitIndex2)) <=> v90(constB25, bitIndex2)) | ((~v88(constB25, bitIndex0)) <=> v90(constB25, bitIndex0)))),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32437, 428])).
% 8.93/6.89 tff(32439,plain,
% 8.93/6.89 ((((~v88(constB25, bitIndex1)) <=> v90(constB25, bitIndex1)) | ((~v88(constB25, bitIndex2)) <=> v90(constB25, bitIndex2)) | ((~v88(constB25, bitIndex0)) <=> v90(constB25, bitIndex0))) | (~((~v88(constB25, bitIndex2)) <=> v90(constB25, bitIndex2)))),
% 8.93/6.89 inference(tautology,[status(thm)],[])).
% 8.93/6.89 tff(32440,plain,
% 8.93/6.89 (~((~v88(constB25, bitIndex2)) <=> v90(constB25, bitIndex2))),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32439, 32438])).
% 8.93/6.89 tff(32441,plain,
% 8.93/6.89 (((~v88(constB25, bitIndex2)) <=> v90(constB25, bitIndex2)) | v88(constB25, bitIndex2) | (~v90(constB25, bitIndex2))),
% 8.93/6.89 inference(tautology,[status(thm)],[])).
% 8.93/6.89 tff(32442,plain,
% 8.93/6.89 (v88(constB25, bitIndex2)),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32441, 5273, 32440])).
% 8.93/6.89 tff(32443,plain,
% 8.93/6.89 ((((~v88(constB25, bitIndex1)) <=> v90(constB25, bitIndex1)) | ((~v88(constB25, bitIndex2)) <=> v90(constB25, bitIndex2)) | ((~v88(constB25, bitIndex0)) <=> v90(constB25, bitIndex0))) | (~((~v88(constB25, bitIndex0)) <=> v90(constB25, bitIndex0)))),
% 8.93/6.89 inference(tautology,[status(thm)],[])).
% 8.93/6.89 tff(32444,plain,
% 8.93/6.89 (~((~v88(constB25, bitIndex0)) <=> v90(constB25, bitIndex0))),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32443, 32438])).
% 8.93/6.89 tff(32445,plain,
% 8.93/6.89 (((~v88(constB25, bitIndex0)) <=> v90(constB25, bitIndex0)) | (~v88(constB25, bitIndex0)) | v90(constB25, bitIndex0)),
% 8.93/6.89 inference(tautology,[status(thm)],[])).
% 8.93/6.89 tff(32446,plain,
% 8.93/6.89 (~v88(constB25, bitIndex0)),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32445, 5424, 32444])).
% 8.93/6.89 tff(32447,plain,
% 8.93/6.89 ((((~v88(constB25, bitIndex1)) <=> v90(constB25, bitIndex1)) | ((~v88(constB25, bitIndex2)) <=> v90(constB25, bitIndex2)) | ((~v88(constB25, bitIndex0)) <=> v90(constB25, bitIndex0))) | (~((~v88(constB25, bitIndex1)) <=> v90(constB25, bitIndex1)))),
% 8.93/6.89 inference(tautology,[status(thm)],[])).
% 8.93/6.89 tff(32448,plain,
% 8.93/6.89 (~((~v88(constB25, bitIndex1)) <=> v90(constB25, bitIndex1))),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32447, 32438])).
% 8.93/6.89 tff(32449,plain,
% 8.93/6.89 (((~v88(constB25, bitIndex1)) <=> v90(constB25, bitIndex1)) | v88(constB25, bitIndex1) | (~v90(constB25, bitIndex1))),
% 8.93/6.89 inference(tautology,[status(thm)],[])).
% 8.93/6.89 tff(32450,plain,
% 8.93/6.89 (v88(constB25, bitIndex1)),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32449, 5302, 32448])).
% 8.93/6.89 tff(32451,plain,
% 8.93/6.89 ((~((~v88(constB25, bitIndex1)) | (~v88(constB25, bitIndex2)) | v88(constB25, bitIndex0))) | (~v88(constB25, bitIndex1)) | (~v88(constB25, bitIndex2)) | v88(constB25, bitIndex0)),
% 8.93/6.89 inference(tautology,[status(thm)],[])).
% 8.93/6.89 tff(32452,plain,
% 8.93/6.89 (~((~v88(constB25, bitIndex1)) | (~v88(constB25, bitIndex2)) | v88(constB25, bitIndex0))),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32451, 32450, 32446, 32442])).
% 8.93/6.89 tff(32453,plain,
% 8.93/6.89 ((~(v144(constB25) <=> (~((~v88(constB25, bitIndex1)) | (~v88(constB25, bitIndex2)) | v88(constB25, bitIndex0))))) | v144(constB25) | ((~v88(constB25, bitIndex1)) | (~v88(constB25, bitIndex2)) | v88(constB25, bitIndex0))),
% 8.93/6.89 inference(tautology,[status(thm)],[])).
% 8.93/6.89 tff(32454,plain,
% 8.93/6.89 (v144(constB25)),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32453, 32452, 32436])).
% 8.93/6.89 tff(32455,plain,
% 8.93/6.89 ((v143(constB25) | v144(constB25)) | (~v144(constB25))),
% 8.93/6.89 inference(tautology,[status(thm)],[])).
% 8.93/6.89 tff(32456,plain,
% 8.93/6.89 (v143(constB25) | v144(constB25)),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32455, 32454])).
% 8.93/6.89 tff(32457,plain,
% 8.93/6.89 ((~(v142(constB25) <=> (v143(constB25) | v144(constB25)))) | v142(constB25) | (~(v143(constB25) | v144(constB25)))),
% 8.93/6.89 inference(tautology,[status(thm)],[])).
% 8.93/6.89 tff(32458,plain,
% 8.93/6.89 (v142(constB25)),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32457, 32456, 32429])).
% 8.93/6.89 tff(32459,plain,
% 8.93/6.89 ((v142(constB25) | v168(constB25)) | (~v142(constB25))),
% 8.93/6.89 inference(tautology,[status(thm)],[])).
% 8.93/6.89 tff(32460,plain,
% 8.93/6.89 (v142(constB25) | v168(constB25)),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32459, 32458])).
% 8.93/6.89 tff(32461,plain,
% 8.93/6.89 ((~(v167(constB25) <=> (v142(constB25) | v168(constB25)))) | v167(constB25) | (~(v142(constB25) | v168(constB25)))),
% 8.93/6.89 inference(tautology,[status(thm)],[])).
% 8.93/6.89 tff(32462,plain,
% 8.93/6.89 ((~(v167(constB25) <=> (v142(constB25) | v168(constB25)))) | v167(constB25)),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32461, 32460])).
% 8.93/6.89 tff(32463,plain,
% 8.93/6.89 (v167(constB25)),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32462, 32427])).
% 8.93/6.89 tff(32464,plain,
% 8.93/6.89 ((v145(constB25) | v167(constB25)) | (~v167(constB25))),
% 8.93/6.89 inference(tautology,[status(thm)],[])).
% 8.93/6.89 tff(32465,plain,
% 8.93/6.89 (v145(constB25) | v167(constB25)),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32464, 32463])).
% 8.93/6.89 tff(32466,plain,
% 8.93/6.89 ((~(v166(constB25) <=> (v145(constB25) | v167(constB25)))) | v166(constB25) | (~(v145(constB25) | v167(constB25)))),
% 8.93/6.89 inference(tautology,[status(thm)],[])).
% 8.93/6.89 tff(32467,plain,
% 8.93/6.89 (v166(constB25)),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32466, 32465, 32425])).
% 8.93/6.89 tff(32468,plain,
% 8.93/6.89 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB25)) | (v163(constB25) <=> v170(constB25)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB25)) | (v163(constB25) <=> v170(constB25)))),
% 8.93/6.89 inference(rewrite,[status(thm)],[])).
% 8.93/6.89 tff(32469,plain,
% 8.93/6.89 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB25)) | (v163(constB25) <=> v170(constB25)))),
% 8.93/6.89 inference(quant_inst,[status(thm)],[])).
% 8.93/6.89 tff(32470,plain,
% 8.93/6.89 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB25)) | (v163(constB25) <=> v170(constB25))),
% 8.93/6.89 inference(modus_ponens,[status(thm)],[32469, 32468])).
% 8.93/6.89 tff(32471,plain,
% 8.93/6.89 ((~v166(constB25)) | (v163(constB25) <=> v170(constB25))),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32470, 9851])).
% 8.93/6.89 tff(32472,plain,
% 8.93/6.89 (v163(constB25) <=> v170(constB25)),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32471, 32467])).
% 8.93/6.89 tff(32473,plain,
% 8.93/6.89 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB25) <=> (v142(constB25) | v150(constB25)))),
% 8.93/6.89 inference(quant_inst,[status(thm)],[])).
% 8.93/6.89 tff(32474,plain,
% 8.93/6.89 (v171(constB25) <=> (v142(constB25) | v150(constB25))),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32473, 9866])).
% 8.93/6.89 tff(32475,plain,
% 8.93/6.89 ((v142(constB25) | v150(constB25)) | (~v142(constB25))),
% 8.93/6.89 inference(tautology,[status(thm)],[])).
% 8.93/6.89 tff(32476,plain,
% 8.93/6.89 (v142(constB25) | v150(constB25)),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32475, 32458])).
% 8.93/6.89 tff(32477,plain,
% 8.93/6.89 ((~(v171(constB25) <=> (v142(constB25) | v150(constB25)))) | v171(constB25) | (~(v142(constB25) | v150(constB25)))),
% 8.93/6.89 inference(tautology,[status(thm)],[])).
% 8.93/6.89 tff(32478,plain,
% 8.93/6.89 ((~(v171(constB25) <=> (v142(constB25) | v150(constB25)))) | v171(constB25)),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32477, 32476])).
% 8.93/6.89 tff(32479,plain,
% 8.93/6.89 (v171(constB25)),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32478, 32474])).
% 8.93/6.89 tff(32480,plain,
% 8.93/6.89 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB25)) | (~v171(constB25)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB25)) | (~v171(constB25)))),
% 8.93/6.89 inference(rewrite,[status(thm)],[])).
% 8.93/6.89 tff(32481,plain,
% 8.93/6.89 (((~v171(constB25)) | (~v170(constB25))) <=> ((~v170(constB25)) | (~v171(constB25)))),
% 8.93/6.89 inference(rewrite,[status(thm)],[])).
% 8.93/6.89 tff(32482,plain,
% 8.93/6.89 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB25)) | (~v170(constB25)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB25)) | (~v171(constB25))))),
% 8.93/6.89 inference(monotonicity,[status(thm)],[32481])).
% 8.93/6.89 tff(32483,plain,
% 8.93/6.89 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB25)) | (~v170(constB25)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB25)) | (~v171(constB25)))),
% 8.93/6.89 inference(transitivity,[status(thm)],[32482, 32480])).
% 8.93/6.89 tff(32484,plain,
% 8.93/6.89 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB25)) | (~v170(constB25)))),
% 8.93/6.89 inference(quant_inst,[status(thm)],[])).
% 8.93/6.89 tff(32485,plain,
% 8.93/6.89 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB25)) | (~v171(constB25))),
% 8.93/6.89 inference(modus_ponens,[status(thm)],[32484, 32483])).
% 8.93/6.89 tff(32486,plain,
% 8.93/6.89 (~v170(constB25)),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32485, 9899, 32479])).
% 8.93/6.89 tff(32487,plain,
% 8.93/6.89 ((~(v163(constB25) <=> v170(constB25))) | (~v163(constB25)) | v170(constB25)),
% 8.93/6.89 inference(tautology,[status(thm)],[])).
% 8.93/6.89 tff(32488,plain,
% 8.93/6.89 (~v163(constB25)),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32487, 32486, 32472])).
% 8.93/6.89 tff(32489,plain,
% 8.93/6.89 ((~(v161(constB25) <=> v163(constB25))) | (~v161(constB25)) | v163(constB25)),
% 8.93/6.89 inference(tautology,[status(thm)],[])).
% 8.93/6.89 tff(32490,plain,
% 8.93/6.89 (~v161(constB25)),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32489, 32488, 32423])).
% 8.93/6.89 tff(32491,plain,
% 8.93/6.89 (((~v159(constB25)) | (~v161(constB25))) | v161(constB25)),
% 8.93/6.89 inference(tautology,[status(thm)],[])).
% 8.93/6.89 tff(32492,plain,
% 8.93/6.89 ((~v159(constB25)) | (~v161(constB25))),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32491, 32490])).
% 8.93/6.89 tff(32493,plain,
% 8.93/6.89 ((~(v201(constB25) <=> (~((~v159(constB25)) | (~v161(constB25)))))) | (~v201(constB25)) | (~((~v159(constB25)) | (~v161(constB25))))),
% 8.93/6.89 inference(tautology,[status(thm)],[])).
% 8.93/6.89 tff(32494,plain,
% 8.93/6.89 (~v201(constB25)),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32493, 32492, 32421])).
% 8.93/6.89 tff(32495,plain,
% 8.93/6.89 (((~v197(constB25)) | (~v201(constB25))) | v201(constB25)),
% 8.93/6.89 inference(tautology,[status(thm)],[])).
% 8.93/6.89 tff(32496,plain,
% 8.93/6.89 ((~v197(constB25)) | (~v201(constB25))),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32495, 32494])).
% 8.93/6.89 tff(32497,plain,
% 8.93/6.89 ((~(v200(constB25) <=> (~((~v197(constB25)) | (~v201(constB25)))))) | (~v200(constB25)) | (~((~v197(constB25)) | (~v201(constB25))))),
% 8.93/6.89 inference(tautology,[status(thm)],[])).
% 8.93/6.89 tff(32498,plain,
% 8.93/6.89 (~v200(constB25)),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32497, 32496, 32419])).
% 8.93/6.89 tff(32499,plain,
% 8.93/6.89 (((~v199(constB25)) | (~v200(constB25))) | v200(constB25)),
% 8.93/6.89 inference(tautology,[status(thm)],[])).
% 8.93/6.89 tff(32500,plain,
% 8.93/6.89 ((~v199(constB25)) | (~v200(constB25))),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32499, 32498])).
% 8.93/6.89 tff(32501,plain,
% 8.93/6.89 ((~(v198(constB25) <=> (~((~v199(constB25)) | (~v200(constB25)))))) | (~v198(constB25)) | (~((~v199(constB25)) | (~v200(constB25))))),
% 8.93/6.89 inference(tautology,[status(thm)],[])).
% 8.93/6.89 tff(32502,plain,
% 8.93/6.89 (~v198(constB25)),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32501, 32500, 32417])).
% 8.93/6.89 tff(32503,plain,
% 8.93/6.89 ((~(v194(constB25) | v198(constB25))) | v194(constB25) | v198(constB25)),
% 8.93/6.89 inference(tautology,[status(thm)],[])).
% 8.93/6.89 tff(32504,plain,
% 8.93/6.89 (~(v194(constB25) | v198(constB25))),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32503, 32502, 32415])).
% 8.93/6.89 tff(32505,plain,
% 8.93/6.89 ((~(v191(constB25) <=> (v194(constB25) | v198(constB25)))) | (~v191(constB25)) | (v194(constB25) | v198(constB25))),
% 8.93/6.89 inference(tautology,[status(thm)],[])).
% 8.93/6.89 tff(32506,plain,
% 8.93/6.89 (~v191(constB25)),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32505, 32504, 32342])).
% 8.93/6.89 tff(32507,plain,
% 8.93/6.89 ((~(v193(constB26) <=> v191(constB25))) | (~v193(constB26)) | v191(constB25)),
% 8.93/6.89 inference(tautology,[status(thm)],[])).
% 8.93/6.89 tff(32508,plain,
% 8.93/6.89 (~v193(constB26)),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32507, 32506, 32340])).
% 8.93/6.89 tff(32509,plain,
% 8.93/6.89 ((~(v157(constB26) <=> v193(constB26))) | (~v157(constB26)) | v193(constB26)),
% 8.93/6.89 inference(tautology,[status(thm)],[])).
% 8.93/6.89 tff(32510,plain,
% 8.93/6.89 (~v157(constB26)),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32509, 32508, 32336])).
% 8.93/6.89 tff(32511,plain,
% 8.93/6.89 (((~v157(constB26)) | (~v195(constB26))) | v157(constB26)),
% 8.93/6.89 inference(tautology,[status(thm)],[])).
% 8.93/6.89 tff(32512,plain,
% 8.93/6.89 ((~v157(constB26)) | (~v195(constB26))),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32511, 32510])).
% 8.93/6.89 tff(32513,plain,
% 8.93/6.89 ((~(v194(constB26) <=> (~((~v157(constB26)) | (~v195(constB26)))))) | (~v194(constB26)) | (~((~v157(constB26)) | (~v195(constB26))))),
% 8.93/6.89 inference(tautology,[status(thm)],[])).
% 8.93/6.89 tff(32514,plain,
% 8.93/6.89 (~v194(constB26)),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32513, 32512, 32334])).
% 8.93/6.89 tff(32515,plain,
% 8.93/6.89 ((~(v194(constB26) | v198(constB26))) | v194(constB26) | v198(constB26)),
% 8.93/6.89 inference(tautology,[status(thm)],[])).
% 8.93/6.89 tff(32516,plain,
% 8.93/6.89 (~(v194(constB26) | v198(constB26))),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32515, 32514, 32327])).
% 8.93/6.89 tff(32517,plain,
% 8.93/6.89 ((~(v191(constB26) <=> (v194(constB26) | v198(constB26)))) | (~v191(constB26)) | (v194(constB26) | v198(constB26))),
% 8.93/6.89 inference(tautology,[status(thm)],[])).
% 8.93/6.89 tff(32518,plain,
% 8.93/6.89 (~v191(constB26)),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32517, 32516, 32302])).
% 8.93/6.89 tff(32519,plain,
% 8.93/6.89 ((~(v193(constB27) <=> v191(constB26))) | (~v193(constB27)) | v191(constB26)),
% 8.93/6.89 inference(tautology,[status(thm)],[])).
% 8.93/6.89 tff(32520,plain,
% 8.93/6.89 (~v193(constB27)),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32519, 32518, 32300])).
% 8.93/6.89 tff(32521,plain,
% 8.93/6.89 ($false),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32520, 32296])).
% 8.93/6.89 tff(32522,plain,(~(constB27 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.93/6.89 tff(32523,assumption,(constB155 = VarCurr!0), introduced(assumption)).
% 8.93/6.89 tff(32524,plain,
% 8.93/6.89 (v86(constB155) <=> v86(VarCurr!0)),
% 8.93/6.89 inference(monotonicity,[status(thm)],[32523])).
% 8.93/6.89 tff(32525,plain,
% 8.93/6.89 (v86(VarCurr!0) <=> v86(constB155)),
% 8.93/6.89 inference(symmetry,[status(thm)],[32524])).
% 8.93/6.89 tff(32526,plain,
% 8.93/6.89 ((~v86(VarCurr!0)) <=> (~v86(constB155))),
% 8.93/6.89 inference(monotonicity,[status(thm)],[32525])).
% 8.93/6.89 tff(32527,plain,
% 8.93/6.89 (~v86(constB155)),
% 8.93/6.89 inference(modus_ponens,[status(thm)],[14736, 32526])).
% 8.93/6.89 tff(32528,plain,
% 8.93/6.89 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB155) <=> (v136(constB155) | v145(constB155)))),
% 8.93/6.89 inference(quant_inst,[status(thm)],[])).
% 8.93/6.89 tff(32529,plain,
% 8.93/6.89 (v135(constB155) <=> (v136(constB155) | v145(constB155))),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32528, 14744])).
% 8.93/6.89 tff(32530,plain,
% 8.93/6.89 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB155) <=> (v137(constB155) | v142(constB155)))),
% 8.93/6.89 inference(quant_inst,[status(thm)],[])).
% 8.93/6.89 tff(32531,plain,
% 8.93/6.89 (v136(constB155) <=> (v137(constB155) | v142(constB155))),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32530, 14753])).
% 8.93/6.89 tff(32532,plain,
% 8.93/6.89 ((v137(constB155) | v142(constB155)) | (~v142(constB155))),
% 8.93/6.89 inference(tautology,[status(thm)],[])).
% 8.93/6.89 tff(32533,plain,
% 8.93/6.89 (v137(constB155) | v142(constB155)),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32532, 29556])).
% 8.93/6.89 tff(32534,plain,
% 8.93/6.89 ((~(v136(constB155) <=> (v137(constB155) | v142(constB155)))) | v136(constB155) | (~(v137(constB155) | v142(constB155)))),
% 8.93/6.89 inference(tautology,[status(thm)],[])).
% 8.93/6.89 tff(32535,plain,
% 8.93/6.89 ((~(v136(constB155) <=> (v137(constB155) | v142(constB155)))) | v136(constB155)),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32534, 32533])).
% 8.93/6.89 tff(32536,plain,
% 8.93/6.89 (v136(constB155)),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32535, 32531])).
% 8.93/6.89 tff(32537,plain,
% 8.93/6.89 ((v136(constB155) | v145(constB155)) | (~v136(constB155))),
% 8.93/6.89 inference(tautology,[status(thm)],[])).
% 8.93/6.89 tff(32538,plain,
% 8.93/6.89 (v136(constB155) | v145(constB155)),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32537, 32536])).
% 8.93/6.89 tff(32539,plain,
% 8.93/6.89 ((~(v135(constB155) <=> (v136(constB155) | v145(constB155)))) | v135(constB155) | (~(v136(constB155) | v145(constB155)))),
% 8.93/6.89 inference(tautology,[status(thm)],[])).
% 8.93/6.89 tff(32540,plain,
% 8.93/6.89 (v135(constB155)),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32539, 32538, 32529])).
% 8.93/6.89 tff(32541,plain,
% 8.93/6.89 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB155)) | (v86(constB155) <=> v148(constB155)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB155)) | (v86(constB155) <=> v148(constB155)))),
% 8.93/6.89 inference(rewrite,[status(thm)],[])).
% 8.93/6.89 tff(32542,plain,
% 8.93/6.89 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB155)) | (v86(constB155) <=> v148(constB155)))),
% 8.93/6.89 inference(quant_inst,[status(thm)],[])).
% 8.93/6.89 tff(32543,plain,
% 8.93/6.89 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB155)) | (v86(constB155) <=> v148(constB155))),
% 8.93/6.89 inference(modus_ponens,[status(thm)],[32542, 32541])).
% 8.93/6.89 tff(32544,plain,
% 8.93/6.89 (v86(constB155) <=> v148(constB155)),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32543, 14818, 32540])).
% 8.93/6.89 tff(32545,plain,
% 8.93/6.89 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB155) | (~v142(constB155)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB155) | (~v142(constB155)))),
% 8.93/6.89 inference(rewrite,[status(thm)],[])).
% 8.93/6.89 tff(32546,plain,
% 8.93/6.89 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB155) | (~v142(constB155)))),
% 8.93/6.89 inference(quant_inst,[status(thm)],[])).
% 8.93/6.89 tff(32547,plain,
% 8.93/6.89 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB155) | (~v142(constB155))),
% 8.93/6.89 inference(modus_ponens,[status(thm)],[32546, 32545])).
% 8.93/6.89 tff(32548,plain,
% 8.93/6.89 (v148(constB155)),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32547, 14832, 29556])).
% 8.93/6.89 tff(32549,plain,
% 8.93/6.89 ((~(v86(constB155) <=> v148(constB155))) | v86(constB155) | (~v148(constB155))),
% 8.93/6.89 inference(tautology,[status(thm)],[])).
% 8.93/6.89 tff(32550,plain,
% 8.93/6.89 ((~(v86(constB155) <=> v148(constB155))) | v86(constB155)),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32549, 32548])).
% 8.93/6.89 tff(32551,plain,
% 8.93/6.89 (v86(constB155)),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32550, 32544])).
% 8.93/6.89 tff(32552,plain,
% 8.93/6.89 ($false),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32551, 32527])).
% 8.93/6.89 tff(32553,plain,(~(constB155 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.93/6.89 tff(32554,assumption,(constB105 = VarCurr!0), introduced(assumption)).
% 8.93/6.89 tff(32555,plain,
% 8.93/6.89 (v86(constB105) <=> v86(VarCurr!0)),
% 8.93/6.89 inference(monotonicity,[status(thm)],[32554])).
% 8.93/6.89 tff(32556,plain,
% 8.93/6.89 (v86(VarCurr!0) <=> v86(constB105)),
% 8.93/6.89 inference(symmetry,[status(thm)],[32555])).
% 8.93/6.89 tff(32557,plain,
% 8.93/6.89 ((~v86(VarCurr!0)) <=> (~v86(constB105))),
% 8.93/6.89 inference(monotonicity,[status(thm)],[32556])).
% 8.93/6.89 tff(32558,plain,
% 8.93/6.89 (~v86(constB105)),
% 8.93/6.89 inference(modus_ponens,[status(thm)],[14736, 32557])).
% 8.93/6.89 tff(32559,plain,
% 8.93/6.89 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB105) <=> (v136(constB105) | v145(constB105)))),
% 8.93/6.89 inference(quant_inst,[status(thm)],[])).
% 8.93/6.89 tff(32560,plain,
% 8.93/6.89 (v135(constB105) <=> (v136(constB105) | v145(constB105))),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32559, 14744])).
% 8.93/6.89 tff(32561,plain,
% 8.93/6.89 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB105) <=> (v137(constB105) | v142(constB105)))),
% 8.93/6.89 inference(quant_inst,[status(thm)],[])).
% 8.93/6.89 tff(32562,plain,
% 8.93/6.89 (v136(constB105) <=> (v137(constB105) | v142(constB105))),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32561, 14753])).
% 8.93/6.89 tff(32563,plain,
% 8.93/6.89 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB105) <=> (v143(constB105) | v144(constB105)))),
% 8.93/6.89 inference(quant_inst,[status(thm)],[])).
% 8.93/6.89 tff(32564,plain,
% 8.93/6.89 (v142(constB105) <=> (v143(constB105) | v144(constB105))),
% 8.93/6.89 inference(unit_resolution,[status(thm)],[32563, 10332])).
% 8.93/6.89 tff(32565,plain,
% 8.93/6.89 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB105) <=> (~((~v88(constB105, bitIndex1)) | (~v88(constB105, bitIndex2)) | v88(constB105, bitIndex0))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB105) <=> (~((~v88(constB105, bitIndex1)) | (~v88(constB105, bitIndex2)) | v88(constB105, bitIndex0)))))),
% 8.93/6.89 inference(rewrite,[status(thm)],[])).
% 8.93/6.89 tff(32566,plain,
% 8.93/6.89 ((v144(constB105) <=> (~(v88(constB105, bitIndex0) | (~v88(constB105, bitIndex1)) | (~v88(constB105, bitIndex2))))) <=> (v144(constB105) <=> (~((~v88(constB105, bitIndex1)) | (~v88(constB105, bitIndex2)) | v88(constB105, bitIndex0))))),
% 8.93/6.89 inference(rewrite,[status(thm)],[])).
% 8.93/6.89 tff(32567,plain,
% 8.93/6.89 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB105) <=> (~(v88(constB105, bitIndex0) | (~v88(constB105, bitIndex1)) | (~v88(constB105, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB105) <=> (~((~v88(constB105, bitIndex1)) | (~v88(constB105, bitIndex2)) | v88(constB105, bitIndex0)))))),
% 8.93/6.90 inference(monotonicity,[status(thm)],[32566])).
% 8.93/6.90 tff(32568,plain,
% 8.93/6.90 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB105) <=> (~(v88(constB105, bitIndex0) | (~v88(constB105, bitIndex1)) | (~v88(constB105, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB105) <=> (~((~v88(constB105, bitIndex1)) | (~v88(constB105, bitIndex2)) | v88(constB105, bitIndex0)))))),
% 8.93/6.90 inference(transitivity,[status(thm)],[32567, 32565])).
% 8.93/6.90 tff(32569,plain,
% 8.93/6.90 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB105) <=> (~(v88(constB105, bitIndex0) | (~v88(constB105, bitIndex1)) | (~v88(constB105, bitIndex2)))))),
% 8.93/6.90 inference(quant_inst,[status(thm)],[])).
% 8.93/6.90 tff(32570,plain,
% 8.93/6.90 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB105) <=> (~((~v88(constB105, bitIndex1)) | (~v88(constB105, bitIndex2)) | v88(constB105, bitIndex0))))),
% 8.93/6.90 inference(modus_ponens,[status(thm)],[32569, 32568])).
% 8.93/6.90 tff(32571,plain,
% 8.93/6.90 (v144(constB105) <=> (~((~v88(constB105, bitIndex1)) | (~v88(constB105, bitIndex2)) | v88(constB105, bitIndex0)))),
% 8.93/6.90 inference(unit_resolution,[status(thm)],[32570, 10347])).
% 8.93/6.90 tff(32572,plain,
% 8.93/6.90 ((~![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))) | (~(((~v88(constB105, bitIndex1)) <=> v90(constB105, bitIndex1)) | ((~v88(constB105, bitIndex2)) <=> v90(constB105, bitIndex2)) | ((~v88(constB105, bitIndex0)) <=> v90(constB105, bitIndex0))))),
% 8.93/6.90 inference(quant_inst,[status(thm)],[])).
% 8.93/6.90 tff(32573,plain,
% 8.93/6.90 (~(((~v88(constB105, bitIndex1)) <=> v90(constB105, bitIndex1)) | ((~v88(constB105, bitIndex2)) <=> v90(constB105, bitIndex2)) | ((~v88(constB105, bitIndex0)) <=> v90(constB105, bitIndex0)))),
% 8.93/6.90 inference(unit_resolution,[status(thm)],[32572, 428])).
% 8.93/6.90 tff(32574,plain,
% 8.93/6.90 ((((~v88(constB105, bitIndex1)) <=> v90(constB105, bitIndex1)) | ((~v88(constB105, bitIndex2)) <=> v90(constB105, bitIndex2)) | ((~v88(constB105, bitIndex0)) <=> v90(constB105, bitIndex0))) | (~((~v88(constB105, bitIndex2)) <=> v90(constB105, bitIndex2)))),
% 8.93/6.90 inference(tautology,[status(thm)],[])).
% 8.93/6.90 tff(32575,plain,
% 8.93/6.90 (~((~v88(constB105, bitIndex2)) <=> v90(constB105, bitIndex2))),
% 8.93/6.90 inference(unit_resolution,[status(thm)],[32574, 32573])).
% 8.93/6.90 tff(32576,plain,
% 8.93/6.90 (((~v88(constB105, bitIndex2)) <=> v90(constB105, bitIndex2)) | v88(constB105, bitIndex2) | (~v90(constB105, bitIndex2))),
% 8.93/6.90 inference(tautology,[status(thm)],[])).
% 8.93/6.90 tff(32577,plain,
% 8.93/6.90 (v88(constB105, bitIndex2)),
% 8.93/6.90 inference(unit_resolution,[status(thm)],[32576, 13293, 32575])).
% 8.93/6.90 tff(32578,plain,
% 8.93/6.90 ((((~v88(constB105, bitIndex1)) <=> v90(constB105, bitIndex1)) | ((~v88(constB105, bitIndex2)) <=> v90(constB105, bitIndex2)) | ((~v88(constB105, bitIndex0)) <=> v90(constB105, bitIndex0))) | (~((~v88(constB105, bitIndex0)) <=> v90(constB105, bitIndex0)))),
% 8.93/6.90 inference(tautology,[status(thm)],[])).
% 8.93/6.90 tff(32579,plain,
% 8.93/6.90 (~((~v88(constB105, bitIndex0)) <=> v90(constB105, bitIndex0))),
% 8.93/6.90 inference(unit_resolution,[status(thm)],[32578, 32573])).
% 8.93/6.90 tff(32580,plain,
% 8.93/6.90 (((~v88(constB105, bitIndex0)) <=> v90(constB105, bitIndex0)) | (~v88(constB105, bitIndex0)) | v90(constB105, bitIndex0)),
% 8.93/6.90 inference(tautology,[status(thm)],[])).
% 8.93/6.90 tff(32581,plain,
% 8.93/6.90 (~v88(constB105, bitIndex0)),
% 8.93/6.90 inference(unit_resolution,[status(thm)],[32580, 13444, 32579])).
% 8.93/6.90 tff(32582,plain,
% 8.93/6.90 ((((~v88(constB105, bitIndex1)) <=> v90(constB105, bitIndex1)) | ((~v88(constB105, bitIndex2)) <=> v90(constB105, bitIndex2)) | ((~v88(constB105, bitIndex0)) <=> v90(constB105, bitIndex0))) | (~((~v88(constB105, bitIndex1)) <=> v90(constB105, bitIndex1)))),
% 8.93/6.90 inference(tautology,[status(thm)],[])).
% 8.93/6.90 tff(32583,plain,
% 8.93/6.90 (~((~v88(constB105, bitIndex1)) <=> v90(constB105, bitIndex1))),
% 8.93/6.90 inference(unit_resolution,[status(thm)],[32582, 32573])).
% 8.93/6.90 tff(32584,plain,
% 8.93/6.90 (((~v88(constB105, bitIndex1)) <=> v90(constB105, bitIndex1)) | v88(constB105, bitIndex1) | (~v90(constB105, bitIndex1))),
% 8.93/6.90 inference(tautology,[status(thm)],[])).
% 8.93/6.90 tff(32585,plain,
% 8.93/6.90 (v88(constB105, bitIndex1)),
% 8.93/6.90 inference(unit_resolution,[status(thm)],[32584, 13322, 32583])).
% 8.93/6.90 tff(32586,plain,
% 8.93/6.90 ((~((~v88(constB105, bitIndex1)) | (~v88(constB105, bitIndex2)) | v88(constB105, bitIndex0))) | (~v88(constB105, bitIndex1)) | (~v88(constB105, bitIndex2)) | v88(constB105, bitIndex0)),
% 8.93/6.90 inference(tautology,[status(thm)],[])).
% 8.93/6.90 tff(32587,plain,
% 8.93/6.90 (~((~v88(constB105, bitIndex1)) | (~v88(constB105, bitIndex2)) | v88(constB105, bitIndex0))),
% 8.93/6.90 inference(unit_resolution,[status(thm)],[32586, 32585, 32581, 32577])).
% 8.93/6.90 tff(32588,plain,
% 8.93/6.90 ((~(v144(constB105) <=> (~((~v88(constB105, bitIndex1)) | (~v88(constB105, bitIndex2)) | v88(constB105, bitIndex0))))) | v144(constB105) | ((~v88(constB105, bitIndex1)) | (~v88(constB105, bitIndex2)) | v88(constB105, bitIndex0))),
% 8.93/6.90 inference(tautology,[status(thm)],[])).
% 8.93/6.90 tff(32589,plain,
% 8.93/6.90 (v144(constB105)),
% 8.93/6.90 inference(unit_resolution,[status(thm)],[32588, 32587, 32571])).
% 8.93/6.90 tff(32590,plain,
% 8.93/6.90 ((v143(constB105) | v144(constB105)) | (~v144(constB105))),
% 8.93/6.90 inference(tautology,[status(thm)],[])).
% 8.93/6.90 tff(32591,plain,
% 8.93/6.90 (v143(constB105) | v144(constB105)),
% 8.93/6.90 inference(unit_resolution,[status(thm)],[32590, 32589])).
% 8.93/6.90 tff(32592,plain,
% 8.93/6.90 ((~(v142(constB105) <=> (v143(constB105) | v144(constB105)))) | v142(constB105) | (~(v143(constB105) | v144(constB105)))),
% 8.93/6.90 inference(tautology,[status(thm)],[])).
% 8.93/6.90 tff(32593,plain,
% 8.93/6.90 (v142(constB105)),
% 8.93/6.90 inference(unit_resolution,[status(thm)],[32592, 32591, 32564])).
% 8.93/6.90 tff(32594,plain,
% 8.93/6.90 ((v137(constB105) | v142(constB105)) | (~v142(constB105))),
% 8.93/6.90 inference(tautology,[status(thm)],[])).
% 8.93/6.90 tff(32595,plain,
% 8.93/6.90 (v137(constB105) | v142(constB105)),
% 8.93/6.90 inference(unit_resolution,[status(thm)],[32594, 32593])).
% 8.93/6.90 tff(32596,plain,
% 8.93/6.90 ((~(v136(constB105) <=> (v137(constB105) | v142(constB105)))) | v136(constB105) | (~(v137(constB105) | v142(constB105)))),
% 8.93/6.90 inference(tautology,[status(thm)],[])).
% 8.93/6.90 tff(32597,plain,
% 8.93/6.90 ((~(v136(constB105) <=> (v137(constB105) | v142(constB105)))) | v136(constB105)),
% 8.93/6.90 inference(unit_resolution,[status(thm)],[32596, 32595])).
% 8.93/6.90 tff(32598,plain,
% 8.93/6.90 (v136(constB105)),
% 8.93/6.90 inference(unit_resolution,[status(thm)],[32597, 32562])).
% 8.93/6.90 tff(32599,plain,
% 8.93/6.90 ((v136(constB105) | v145(constB105)) | (~v136(constB105))),
% 8.93/6.90 inference(tautology,[status(thm)],[])).
% 8.93/6.90 tff(32600,plain,
% 8.93/6.90 (v136(constB105) | v145(constB105)),
% 8.93/6.90 inference(unit_resolution,[status(thm)],[32599, 32598])).
% 8.93/6.90 tff(32601,plain,
% 8.93/6.90 ((~(v135(constB105) <=> (v136(constB105) | v145(constB105)))) | v135(constB105) | (~(v136(constB105) | v145(constB105)))),
% 8.93/6.90 inference(tautology,[status(thm)],[])).
% 8.93/6.90 tff(32602,plain,
% 8.93/6.90 (v135(constB105)),
% 8.93/6.90 inference(unit_resolution,[status(thm)],[32601, 32600, 32560])).
% 8.93/6.90 tff(32603,plain,
% 8.93/6.90 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB105)) | (v86(constB105) <=> v148(constB105)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB105)) | (v86(constB105) <=> v148(constB105)))),
% 8.93/6.90 inference(rewrite,[status(thm)],[])).
% 8.93/6.90 tff(32604,plain,
% 8.93/6.90 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB105)) | (v86(constB105) <=> v148(constB105)))),
% 8.93/6.90 inference(quant_inst,[status(thm)],[])).
% 8.93/6.90 tff(32605,plain,
% 8.93/6.90 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB105)) | (v86(constB105) <=> v148(constB105))),
% 8.93/6.90 inference(modus_ponens,[status(thm)],[32604, 32603])).
% 8.93/6.90 tff(32606,plain,
% 8.93/6.90 (v86(constB105) <=> v148(constB105)),
% 8.93/6.90 inference(unit_resolution,[status(thm)],[32605, 14818, 32602])).
% 8.93/6.90 tff(32607,plain,
% 8.93/6.90 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB105) | (~v142(constB105)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB105) | (~v142(constB105)))),
% 8.93/6.90 inference(rewrite,[status(thm)],[])).
% 8.93/6.90 tff(32608,plain,
% 8.93/6.90 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB105) | (~v142(constB105)))),
% 8.93/6.90 inference(quant_inst,[status(thm)],[])).
% 8.93/6.90 tff(32609,plain,
% 8.93/6.90 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB105) | (~v142(constB105))),
% 8.93/6.90 inference(modus_ponens,[status(thm)],[32608, 32607])).
% 8.93/6.90 tff(32610,plain,
% 8.93/6.90 (v148(constB105)),
% 8.93/6.90 inference(unit_resolution,[status(thm)],[32609, 14832, 32593])).
% 8.93/6.90 tff(32611,plain,
% 8.93/6.90 ((~(v86(constB105) <=> v148(constB105))) | v86(constB105) | (~v148(constB105))),
% 8.93/6.90 inference(tautology,[status(thm)],[])).
% 8.93/6.90 tff(32612,plain,
% 8.93/6.90 ((~(v86(constB105) <=> v148(constB105))) | v86(constB105)),
% 8.93/6.90 inference(unit_resolution,[status(thm)],[32611, 32610])).
% 8.93/6.90 tff(32613,plain,
% 8.93/6.90 (v86(constB105)),
% 8.93/6.90 inference(unit_resolution,[status(thm)],[32612, 32606])).
% 8.93/6.90 tff(32614,plain,
% 8.93/6.90 ($false),
% 8.93/6.90 inference(unit_resolution,[status(thm)],[32613, 32558])).
% 8.93/6.90 tff(32615,plain,(~(constB105 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.93/6.90 tff(32616,assumption,(constB163 = VarCurr!0), introduced(assumption)).
% 8.93/6.90 tff(32617,plain,
% 8.93/6.90 (v193(constB163) <=> v193(VarCurr!0)),
% 8.93/6.90 inference(monotonicity,[status(thm)],[32616])).
% 8.93/6.90 tff(32618,plain,
% 8.93/6.90 (v193(VarCurr!0) <=> v193(constB163)),
% 8.93/6.90 inference(symmetry,[status(thm)],[32617])).
% 8.93/6.90 tff(32619,plain,
% 8.93/6.90 (v193(constB163)),
% 8.93/6.90 inference(modus_ponens,[status(thm)],[59, 32618])).
% 8.93/6.90 tff(32620,plain,
% 8.93/6.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB162, constB163)) | (v193(constB163) <=> v191(constB162)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB162, constB163)) | (v193(constB163) <=> v191(constB162)))),
% 8.93/6.90 inference(rewrite,[status(thm)],[])).
% 8.93/6.90 tff(32621,plain,
% 8.93/6.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB162, constB163)) | (v193(constB163) <=> v191(constB162)))),
% 8.93/6.90 inference(quant_inst,[status(thm)],[])).
% 8.93/6.90 tff(32622,plain,
% 8.93/6.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB162, constB163)) | (v193(constB163) <=> v191(constB162))),
% 8.93/6.90 inference(modus_ponens,[status(thm)],[32621, 32620])).
% 8.93/6.90 tff(32623,plain,
% 8.93/6.90 (v193(constB163) <=> v191(constB162)),
% 8.93/6.90 inference(unit_resolution,[status(thm)],[32622, 16027, 70])).
% 8.93/6.90 tff(32624,plain,
% 8.93/6.90 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB162) <=> (v194(constB162) | v198(constB162)))),
% 8.93/6.90 inference(quant_inst,[status(thm)],[])).
% 8.93/6.90 tff(32625,plain,
% 8.93/6.90 (v191(constB162) <=> (v194(constB162) | v198(constB162))),
% 8.93/6.90 inference(unit_resolution,[status(thm)],[32624, 84])).
% 8.93/6.90 tff(32626,plain,
% 8.93/6.90 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB162) <=> (~((~v199(constB162)) | (~v200(constB162)))))),
% 8.93/6.90 inference(quant_inst,[status(thm)],[])).
% 8.93/6.90 tff(32627,plain,
% 8.93/6.90 (v198(constB162) <=> (~((~v199(constB162)) | (~v200(constB162))))),
% 8.93/6.90 inference(unit_resolution,[status(thm)],[32626, 96])).
% 8.93/6.90 tff(32628,plain,
% 8.93/6.90 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB162) <=> (~((~v197(constB162)) | (~v201(constB162)))))),
% 8.93/6.90 inference(quant_inst,[status(thm)],[])).
% 8.93/6.90 tff(32629,plain,
% 8.93/6.90 (v200(constB162) <=> (~((~v197(constB162)) | (~v201(constB162))))),
% 8.93/6.90 inference(unit_resolution,[status(thm)],[32628, 108])).
% 8.93/6.90 tff(32630,plain,
% 8.93/6.90 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB162) <=> (~((~v39(constB162)) | (~v9(constB162)))))),
% 8.93/6.90 inference(quant_inst,[status(thm)],[])).
% 8.93/6.90 tff(32631,plain,
% 8.93/6.90 (v197(constB162) <=> (~((~v39(constB162)) | (~v9(constB162))))),
% 8.93/6.90 inference(unit_resolution,[status(thm)],[32630, 120])).
% 8.93/6.90 tff(32632,plain,
% 8.93/6.90 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB162)) <=> v1(constB162))),
% 8.93/6.90 inference(quant_inst,[status(thm)],[])).
% 8.93/6.90 tff(32633,plain,
% 8.93/6.90 ((~v39(constB162)) <=> v1(constB162)),
% 8.93/6.90 inference(unit_resolution,[status(thm)],[32632, 129])).
% 8.93/6.90 tff(32634,plain,
% 8.93/6.90 ((~((~v39(constB162)) <=> v1(constB162))) | (~v39(constB162)) | (~v1(constB162))),
% 8.93/6.90 inference(tautology,[status(thm)],[])).
% 8.93/6.90 tff(32635,plain,
% 8.93/6.90 ((~((~v39(constB162)) <=> v1(constB162))) | (~v39(constB162))),
% 8.93/6.90 inference(unit_resolution,[status(thm)],[32634, 21298])).
% 8.93/6.90 tff(32636,plain,
% 8.93/6.90 (~v39(constB162)),
% 8.93/6.90 inference(unit_resolution,[status(thm)],[32635, 32633])).
% 8.93/6.90 tff(32637,plain,
% 8.93/6.90 (((~v39(constB162)) | (~v9(constB162))) | v39(constB162)),
% 8.93/6.90 inference(tautology,[status(thm)],[])).
% 8.93/6.90 tff(32638,plain,
% 8.93/6.90 ((~v39(constB162)) | (~v9(constB162))),
% 8.93/6.90 inference(unit_resolution,[status(thm)],[32637, 32636])).
% 8.93/6.90 tff(32639,plain,
% 8.93/6.90 ((~(v197(constB162) <=> (~((~v39(constB162)) | (~v9(constB162)))))) | (~v197(constB162)) | (~((~v39(constB162)) | (~v9(constB162))))),
% 8.93/6.90 inference(tautology,[status(thm)],[])).
% 8.93/6.90 tff(32640,plain,
% 8.93/6.90 ((~(v197(constB162) <=> (~((~v39(constB162)) | (~v9(constB162)))))) | (~v197(constB162))),
% 8.93/6.90 inference(unit_resolution,[status(thm)],[32639, 32638])).
% 8.93/6.90 tff(32641,plain,
% 8.93/6.90 (~v197(constB162)),
% 8.93/6.90 inference(unit_resolution,[status(thm)],[32640, 32631])).
% 8.93/6.90 tff(32642,plain,
% 8.93/6.90 (((~v197(constB162)) | (~v201(constB162))) | v197(constB162)),
% 8.93/6.90 inference(tautology,[status(thm)],[])).
% 8.93/6.90 tff(32643,plain,
% 8.93/6.90 ((~v197(constB162)) | (~v201(constB162))),
% 8.93/6.90 inference(unit_resolution,[status(thm)],[32642, 32641])).
% 8.93/6.90 tff(32644,plain,
% 8.93/6.90 ((~(v200(constB162) <=> (~((~v197(constB162)) | (~v201(constB162)))))) | (~v200(constB162)) | (~((~v197(constB162)) | (~v201(constB162))))),
% 8.93/6.90 inference(tautology,[status(thm)],[])).
% 8.93/6.90 tff(32645,plain,
% 8.93/6.90 ((~(v200(constB162) <=> (~((~v197(constB162)) | (~v201(constB162)))))) | (~v200(constB162))),
% 8.93/6.90 inference(unit_resolution,[status(thm)],[32644, 32643])).
% 8.93/6.90 tff(32646,plain,
% 8.93/6.90 (~v200(constB162)),
% 8.93/6.90 inference(unit_resolution,[status(thm)],[32645, 32629])).
% 8.93/6.90 tff(32647,plain,
% 8.93/6.90 (((~v199(constB162)) | (~v200(constB162))) | v200(constB162)),
% 8.93/6.90 inference(tautology,[status(thm)],[])).
% 8.93/6.90 tff(32648,plain,
% 8.93/6.90 ((~v199(constB162)) | (~v200(constB162))),
% 8.93/6.90 inference(unit_resolution,[status(thm)],[32647, 32646])).
% 8.93/6.90 tff(32649,plain,
% 8.93/6.90 ((~(v198(constB162) <=> (~((~v199(constB162)) | (~v200(constB162)))))) | (~v198(constB162)) | (~((~v199(constB162)) | (~v200(constB162))))),
% 8.93/6.90 inference(tautology,[status(thm)],[])).
% 8.93/6.90 tff(32650,plain,
% 8.93/6.90 (~v198(constB162)),
% 8.93/6.90 inference(unit_resolution,[status(thm)],[32649, 32648, 32627])).
% 8.93/6.90 tff(32651,plain,
% 8.93/6.90 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB162) <=> (~((~v157(constB162)) | (~v195(constB162)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB162) <=> (~((~v157(constB162)) | (~v195(constB162))))))),
% 8.93/6.90 inference(rewrite,[status(thm)],[])).
% 8.93/6.90 tff(32652,plain,
% 8.93/6.90 ((v194(constB162) <=> (~((~v195(constB162)) | (~v157(constB162))))) <=> (v194(constB162) <=> (~((~v157(constB162)) | (~v195(constB162)))))),
% 8.93/6.90 inference(rewrite,[status(thm)],[])).
% 8.93/6.90 tff(32653,plain,
% 8.93/6.90 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB162) <=> (~((~v195(constB162)) | (~v157(constB162)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB162) <=> (~((~v157(constB162)) | (~v195(constB162))))))),
% 8.93/6.90 inference(monotonicity,[status(thm)],[32652])).
% 8.93/6.90 tff(32654,plain,
% 8.93/6.90 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB162) <=> (~((~v195(constB162)) | (~v157(constB162)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB162) <=> (~((~v157(constB162)) | (~v195(constB162))))))),
% 8.93/6.90 inference(transitivity,[status(thm)],[32653, 32651])).
% 8.93/6.90 tff(32655,plain,
% 8.93/6.90 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB162) <=> (~((~v195(constB162)) | (~v157(constB162)))))),
% 8.93/6.90 inference(quant_inst,[status(thm)],[])).
% 8.93/6.90 tff(32656,plain,
% 8.93/6.90 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB162) <=> (~((~v157(constB162)) | (~v195(constB162)))))),
% 8.93/6.90 inference(modus_ponens,[status(thm)],[32655, 32654])).
% 8.93/6.90 tff(32657,plain,
% 8.93/6.90 (v194(constB162) <=> (~((~v157(constB162)) | (~v195(constB162))))),
% 8.93/6.90 inference(unit_resolution,[status(thm)],[32656, 161])).
% 8.93/6.90 tff(32658,plain,
% 8.93/6.90 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB162) <=> v193(constB162))),
% 8.93/6.90 inference(quant_inst,[status(thm)],[])).
% 8.93/6.90 tff(32659,plain,
% 8.93/6.90 (v157(constB162) <=> v193(constB162)),
% 8.93/6.90 inference(unit_resolution,[status(thm)],[32658, 13])).
% 8.93/6.90 tff(32660,plain,
% 8.93/6.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB161, constB162)) | (v193(constB162) <=> v191(constB161)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB161, constB162)) | (v193(constB162) <=> v191(constB161)))),
% 8.93/6.90 inference(rewrite,[status(thm)],[])).
% 8.93/6.90 tff(32661,plain,
% 8.93/6.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB161, constB162)) | (v193(constB162) <=> v191(constB161)))),
% 8.93/6.90 inference(quant_inst,[status(thm)],[])).
% 8.93/6.90 tff(32662,plain,
% 8.93/6.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB161, constB162)) | (v193(constB162) <=> v191(constB161))),
% 8.93/6.90 inference(modus_ponens,[status(thm)],[32661, 32660])).
% 8.93/6.90 tff(32663,plain,
% 8.93/6.90 (v193(constB162) <=> v191(constB161)),
% 8.93/6.90 inference(unit_resolution,[status(thm)],[32662, 16063, 70])).
% 8.93/6.90 tff(32664,plain,
% 8.93/6.90 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB161) <=> (v194(constB161) | v198(constB161)))),
% 8.93/6.90 inference(quant_inst,[status(thm)],[])).
% 8.93/6.90 tff(32665,plain,
% 8.93/6.90 (v191(constB161) <=> (v194(constB161) | v198(constB161))),
% 8.93/6.90 inference(unit_resolution,[status(thm)],[32664, 84])).
% 8.93/6.90 tff(32666,plain,
% 8.93/6.90 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB161) <=> (~((~v157(constB161)) | (~v195(constB161)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB161) <=> (~((~v157(constB161)) | (~v195(constB161))))))),
% 8.93/6.90 inference(rewrite,[status(thm)],[])).
% 8.93/6.90 tff(32667,plain,
% 8.93/6.90 ((v194(constB161) <=> (~((~v195(constB161)) | (~v157(constB161))))) <=> (v194(constB161) <=> (~((~v157(constB161)) | (~v195(constB161)))))),
% 8.93/6.90 inference(rewrite,[status(thm)],[])).
% 8.93/6.90 tff(32668,plain,
% 8.93/6.90 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB161) <=> (~((~v195(constB161)) | (~v157(constB161)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB161) <=> (~((~v157(constB161)) | (~v195(constB161))))))),
% 8.93/6.90 inference(monotonicity,[status(thm)],[32667])).
% 8.93/6.90 tff(32669,plain,
% 8.93/6.90 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB161) <=> (~((~v195(constB161)) | (~v157(constB161)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB161) <=> (~((~v157(constB161)) | (~v195(constB161))))))),
% 8.93/6.90 inference(transitivity,[status(thm)],[32668, 32666])).
% 8.93/6.90 tff(32670,plain,
% 8.93/6.90 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB161) <=> (~((~v195(constB161)) | (~v157(constB161)))))),
% 8.93/6.90 inference(quant_inst,[status(thm)],[])).
% 8.93/6.90 tff(32671,plain,
% 8.93/6.90 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB161) <=> (~((~v157(constB161)) | (~v195(constB161)))))),
% 8.93/6.90 inference(modus_ponens,[status(thm)],[32670, 32669])).
% 8.93/6.90 tff(32672,plain,
% 8.93/6.90 (v194(constB161) <=> (~((~v157(constB161)) | (~v195(constB161))))),
% 8.93/6.90 inference(unit_resolution,[status(thm)],[32671, 161])).
% 8.93/6.90 tff(32673,plain,
% 8.93/6.90 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB161)) <=> v196(constB161))),
% 8.93/6.90 inference(quant_inst,[status(thm)],[])).
% 8.93/6.90 tff(32674,plain,
% 8.93/6.90 ((~v195(constB161)) <=> v196(constB161)),
% 8.93/6.90 inference(unit_resolution,[status(thm)],[32673, 193])).
% 8.93/6.90 tff(32675,plain,
% 8.93/6.90 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB161) <=> (v197(constB161) | v26(constB161)))),
% 8.93/6.90 inference(quant_inst,[status(thm)],[])).
% 8.93/6.90 tff(32676,plain,
% 8.93/6.90 (v196(constB161) <=> (v197(constB161) | v26(constB161))),
% 8.93/6.90 inference(unit_resolution,[status(thm)],[32675, 202])).
% 8.93/6.90 tff(32677,plain,
% 8.93/6.90 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB161) <=> (~((~v39(constB161)) | (~v9(constB161)))))),
% 8.93/6.90 inference(quant_inst,[status(thm)],[])).
% 8.93/6.90 tff(32678,plain,
% 8.93/6.90 (v197(constB161) <=> (~((~v39(constB161)) | (~v9(constB161))))),
% 8.93/6.90 inference(unit_resolution,[status(thm)],[32677, 120])).
% 8.93/6.90 tff(32679,plain,
% 8.93/6.90 (((~![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)))),
% 8.93/6.90 inference(rewrite,[status(thm)],[])).
% 8.93/6.90 tff(32680,plain,
% 8.93/6.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB161, constB162)) | (v13(constB162) <=> v9(constB161)))),
% 8.93/6.90 inference(quant_inst,[status(thm)],[])).
% 8.93/6.90 tff(32681,plain,
% 8.93/6.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB161, constB162)) | (v13(constB162) <=> v9(constB161))),
% 8.93/6.90 inference(modus_ponens,[status(thm)],[32680, 32679])).
% 8.93/6.90 tff(32682,plain,
% 8.93/6.90 (v13(constB162) <=> v9(constB161)),
% 8.93/6.90 inference(unit_resolution,[status(thm)],[32681, 16063, 216])).
% 8.93/6.90 tff(32683,plain,
% 8.93/6.90 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB162) <=> v13(constB162))),
% 8.93/6.90 inference(quant_inst,[status(thm)],[])).
% 8.93/6.90 tff(32684,plain,
% 8.93/6.90 (v6(constB162) <=> v13(constB162)),
% 8.93/6.90 inference(unit_resolution,[status(thm)],[32683, 230])).
% 8.93/6.90 tff(32685,plain,
% 8.93/6.90 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB162)) <=> v6(constB162))),
% 8.93/6.90 inference(quant_inst,[status(thm)],[])).
% 8.93/6.90 tff(32686,plain,
% 8.93/6.90 ((~v21(constB162)) <=> v6(constB162)),
% 8.93/6.90 inference(unit_resolution,[status(thm)],[32685, 239])).
% 8.93/6.90 tff(32687,plain,
% 8.93/6.90 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB162) <=> (v20(constB162) | v21(constB162)))),
% 8.93/6.90 inference(quant_inst,[status(thm)],[])).
% 8.93/6.90 tff(32688,plain,
% 8.93/6.90 (v19(constB162) <=> (v20(constB162) | v21(constB162))),
% 8.93/6.90 inference(unit_resolution,[status(thm)],[32687, 248])).
% 8.93/6.90 tff(32689,plain,
% 8.93/6.90 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB162) <=> (~((~v19(constB162)) | (~v22(constB162)))))),
% 8.93/6.90 inference(quant_inst,[status(thm)],[])).
% 8.93/6.90 tff(32690,plain,
% 8.93/6.90 (v18(constB162) <=> (~((~v19(constB162)) | (~v22(constB162))))),
% 8.93/6.90 inference(unit_resolution,[status(thm)],[32689, 260])).
% 8.93/6.90 tff(32691,plain,
% 8.93/6.90 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB162)) <=> v18(constB162))),
% 8.93/6.90 inference(quant_inst,[status(thm)],[])).
% 8.93/6.90 tff(32692,plain,
% 8.93/6.90 ((~v4(constB162)) <=> v18(constB162)),
% 8.93/6.90 inference(unit_resolution,[status(thm)],[32691, 269])).
% 8.93/6.90 tff(32693,plain,
% 8.93/6.90 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB162)),
% 8.93/6.90 inference(quant_inst,[status(thm)],[])).
% 8.93/6.90 tff(32694,plain,
% 8.93/6.90 (v4(constB162)),
% 8.93/6.90 inference(unit_resolution,[status(thm)],[32693, 278])).
% 8.93/6.90 tff(32695,plain,
% 8.93/6.90 ((~((~v4(constB162)) <=> v18(constB162))) | (~v4(constB162)) | (~v18(constB162))),
% 8.93/6.90 inference(tautology,[status(thm)],[])).
% 8.93/6.90 tff(32696,plain,
% 8.93/6.90 (~v18(constB162)),
% 8.93/6.90 inference(unit_resolution,[status(thm)],[32695, 32694, 32692])).
% 8.93/6.90 tff(32697,plain,
% 8.93/6.90 ((~(v18(constB162) <=> (~((~v19(constB162)) | (~v22(constB162)))))) | v18(constB162) | ((~v19(constB162)) | (~v22(constB162)))),
% 8.93/6.90 inference(tautology,[status(thm)],[])).
% 8.93/6.90 tff(32698,plain,
% 8.93/6.90 ((~v19(constB162)) | (~v22(constB162))),
% 8.93/6.90 inference(unit_resolution,[status(thm)],[32697, 32696, 32690])).
% 8.93/6.90 tff(32699,plain,
% 8.93/6.90 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB162) <=> (v1(constB162) | v6(constB162)))),
% 8.93/6.90 inference(quant_inst,[status(thm)],[])).
% 8.93/6.90 tff(32700,plain,
% 8.93/6.90 (v22(constB162) <=> (v1(constB162) | v6(constB162))),
% 8.93/6.90 inference(unit_resolution,[status(thm)],[32699, 291])).
% 8.93/6.90 tff(32701,plain,
% 8.93/6.90 ((v1(constB162) | v6(constB162)) | (~v1(constB162))),
% 8.93/6.90 inference(tautology,[status(thm)],[])).
% 8.93/6.90 tff(32702,plain,
% 8.93/6.90 (v1(constB162) | v6(constB162)),
% 8.93/6.90 inference(unit_resolution,[status(thm)],[32701, 21298])).
% 8.93/6.90 tff(32703,plain,
% 8.93/6.90 ((~(v22(constB162) <=> (v1(constB162) | v6(constB162)))) | v22(constB162) | (~(v1(constB162) | v6(constB162)))),
% 8.93/6.90 inference(tautology,[status(thm)],[])).
% 8.93/6.90 tff(32704,plain,
% 8.93/6.90 ((~(v22(constB162) <=> (v1(constB162) | v6(constB162)))) | v22(constB162)),
% 8.93/6.90 inference(unit_resolution,[status(thm)],[32703, 32702])).
% 8.93/6.90 tff(32705,plain,
% 8.93/6.90 (v22(constB162)),
% 8.93/6.90 inference(unit_resolution,[status(thm)],[32704, 32700])).
% 8.93/6.90 tff(32706,plain,
% 8.93/6.90 ((~((~v19(constB162)) | (~v22(constB162)))) | (~v19(constB162)) | (~v22(constB162))),
% 8.93/6.90 inference(tautology,[status(thm)],[])).
% 8.93/6.90 tff(32707,plain,
% 8.93/6.90 ((~((~v19(constB162)) | (~v22(constB162)))) | (~v19(constB162))),
% 8.93/6.90 inference(unit_resolution,[status(thm)],[32706, 32705])).
% 8.93/6.90 tff(32708,plain,
% 8.93/6.90 (~v19(constB162)),
% 8.93/6.90 inference(unit_resolution,[status(thm)],[32707, 32698])).
% 8.93/6.90 tff(32709,plain,
% 8.93/6.90 ((~(v19(constB162) <=> (v20(constB162) | v21(constB162)))) | v19(constB162) | (~(v20(constB162) | v21(constB162)))),
% 8.93/6.90 inference(tautology,[status(thm)],[])).
% 8.93/6.90 tff(32710,plain,
% 8.93/6.90 (~(v20(constB162) | v21(constB162))),
% 8.93/6.90 inference(unit_resolution,[status(thm)],[32709, 32708, 32688])).
% 8.93/6.90 tff(32711,plain,
% 8.93/6.90 ((v20(constB162) | v21(constB162)) | (~v21(constB162))),
% 8.93/6.90 inference(tautology,[status(thm)],[])).
% 8.93/6.90 tff(32712,plain,
% 8.93/6.90 (~v21(constB162)),
% 8.93/6.90 inference(unit_resolution,[status(thm)],[32711, 32710])).
% 8.93/6.90 tff(32713,plain,
% 8.93/6.90 ((~((~v21(constB162)) <=> v6(constB162))) | v21(constB162) | v6(constB162)),
% 8.93/6.90 inference(tautology,[status(thm)],[])).
% 8.93/6.90 tff(32714,plain,
% 8.93/6.90 (v6(constB162)),
% 8.93/6.90 inference(unit_resolution,[status(thm)],[32713, 32712, 32686])).
% 8.93/6.90 tff(32715,plain,
% 8.93/6.90 ((~(v6(constB162) <=> v13(constB162))) | (~v6(constB162)) | v13(constB162)),
% 8.93/6.90 inference(tautology,[status(thm)],[])).
% 8.93/6.90 tff(32716,plain,
% 8.93/6.90 (v13(constB162)),
% 8.93/6.90 inference(unit_resolution,[status(thm)],[32715, 32714, 32684])).
% 8.93/6.90 tff(32717,plain,
% 8.93/6.90 ((~(v13(constB162) <=> v9(constB161))) | (~v13(constB162)) | v9(constB161)),
% 8.93/6.90 inference(tautology,[status(thm)],[])).
% 8.93/6.90 tff(32718,plain,
% 8.93/6.90 (v9(constB161)),
% 8.93/6.90 inference(unit_resolution,[status(thm)],[32717, 32716, 32682])).
% 8.93/6.90 tff(32719,plain,
% 8.93/6.90 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB161)) <=> v1(constB161))),
% 8.93/6.90 inference(quant_inst,[status(thm)],[])).
% 8.93/6.90 tff(32720,plain,
% 8.93/6.90 ((~v39(constB161)) <=> v1(constB161)),
% 8.93/6.90 inference(unit_resolution,[status(thm)],[32719, 129])).
% 8.93/6.90 tff(32721,plain,
% 8.93/6.90 ((~((~v39(constB161)) <=> v1(constB161))) | v39(constB161) | v1(constB161)),
% 8.93/6.90 inference(tautology,[status(thm)],[])).
% 8.93/6.90 tff(32722,plain,
% 8.93/6.90 ((~((~v39(constB161)) <=> v1(constB161))) | v39(constB161)),
% 8.93/6.90 inference(unit_resolution,[status(thm)],[32721, 16107])).
% 8.93/6.90 tff(32723,plain,
% 8.93/6.90 (v39(constB161)),
% 8.93/6.90 inference(unit_resolution,[status(thm)],[32722, 32720])).
% 8.93/6.90 tff(32724,plain,
% 8.93/6.90 ((~((~v39(constB161)) | (~v9(constB161)))) | (~v39(constB161)) | (~v9(constB161))),
% 8.93/6.90 inference(tautology,[status(thm)],[])).
% 8.93/6.90 tff(32725,plain,
% 8.93/6.90 ((~((~v39(constB161)) | (~v9(constB161)))) | (~v9(constB161))),
% 8.93/6.90 inference(unit_resolution,[status(thm)],[32724, 32723])).
% 8.93/6.90 tff(32726,plain,
% 8.93/6.90 (~((~v39(constB161)) | (~v9(constB161)))),
% 8.93/6.90 inference(unit_resolution,[status(thm)],[32725, 32718])).
% 8.93/6.90 tff(32727,plain,
% 8.93/6.90 ((~(v197(constB161) <=> (~((~v39(constB161)) | (~v9(constB161)))))) | v197(constB161) | ((~v39(constB161)) | (~v9(constB161)))),
% 8.93/6.90 inference(tautology,[status(thm)],[])).
% 8.93/6.90 tff(32728,plain,
% 8.93/6.90 (v197(constB161)),
% 8.93/6.90 inference(unit_resolution,[status(thm)],[32727, 32726, 32678])).
% 8.93/6.90 tff(32729,plain,
% 8.93/6.90 ((v197(constB161) | v26(constB161)) | (~v197(constB161))),
% 8.93/6.90 inference(tautology,[status(thm)],[])).
% 8.93/6.90 tff(32730,plain,
% 8.93/6.90 (v197(constB161) | v26(constB161)),
% 8.93/6.90 inference(unit_resolution,[status(thm)],[32729, 32728])).
% 8.93/6.90 tff(32731,plain,
% 8.93/6.90 ((~(v196(constB161) <=> (v197(constB161) | v26(constB161)))) | v196(constB161) | (~(v197(constB161) | v26(constB161)))),
% 8.93/6.90 inference(tautology,[status(thm)],[])).
% 8.93/6.90 tff(32732,plain,
% 8.93/6.90 (v196(constB161)),
% 8.93/6.90 inference(unit_resolution,[status(thm)],[32731, 32730, 32676])).
% 8.93/6.90 tff(32733,plain,
% 8.93/6.90 ((~((~v195(constB161)) <=> v196(constB161))) | (~v195(constB161)) | (~v196(constB161))),
% 8.93/6.90 inference(tautology,[status(thm)],[])).
% 8.93/6.90 tff(32734,plain,
% 8.93/6.90 (~v195(constB161)),
% 8.93/6.90 inference(unit_resolution,[status(thm)],[32733, 32732, 32674])).
% 8.93/6.90 tff(32735,plain,
% 8.93/6.90 (((~v157(constB161)) | (~v195(constB161))) | v195(constB161)),
% 8.93/6.90 inference(tautology,[status(thm)],[])).
% 8.93/6.90 tff(32736,plain,
% 8.93/6.90 ((~v157(constB161)) | (~v195(constB161))),
% 8.93/6.90 inference(unit_resolution,[status(thm)],[32735, 32734])).
% 8.93/6.90 tff(32737,plain,
% 8.93/6.90 ((~(v194(constB161) <=> (~((~v157(constB161)) | (~v195(constB161)))))) | (~v194(constB161)) | (~((~v157(constB161)) | (~v195(constB161))))),
% 8.93/6.90 inference(tautology,[status(thm)],[])).
% 8.93/6.90 tff(32738,plain,
% 8.93/6.90 (~v194(constB161)),
% 8.93/6.90 inference(unit_resolution,[status(thm)],[32737, 32736, 32672])).
% 8.93/6.90 tff(32739,plain,
% 8.93/6.90 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB161) <=> (~((~v199(constB161)) | (~v200(constB161)))))),
% 8.93/6.90 inference(quant_inst,[status(thm)],[])).
% 8.93/6.90 tff(32740,plain,
% 8.93/6.90 (v198(constB161) <=> (~((~v199(constB161)) | (~v200(constB161))))),
% 8.93/6.90 inference(unit_resolution,[status(thm)],[32739, 96])).
% 8.93/6.90 tff(32741,plain,
% 8.93/6.90 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB161) <=> (~((~v197(constB161)) | (~v201(constB161)))))),
% 8.93/6.90 inference(quant_inst,[status(thm)],[])).
% 8.93/6.90 tff(32742,plain,
% 8.93/6.90 (v200(constB161) <=> (~((~v197(constB161)) | (~v201(constB161))))),
% 8.93/6.90 inference(unit_resolution,[status(thm)],[32741, 108])).
% 8.93/6.90 tff(32743,plain,
% 8.93/6.90 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB161) <=> (~((~v159(constB161)) | (~v161(constB161)))))),
% 8.93/6.90 inference(quant_inst,[status(thm)],[])).
% 8.93/6.90 tff(32744,plain,
% 8.93/6.90 (v201(constB161) <=> (~((~v159(constB161)) | (~v161(constB161))))),
% 8.93/6.90 inference(unit_resolution,[status(thm)],[32743, 348])).
% 8.93/6.90 tff(32745,plain,
% 8.93/6.90 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB161) <=> v163(constB161))),
% 8.93/6.90 inference(quant_inst,[status(thm)],[])).
% 8.93/6.90 tff(32746,plain,
% 8.93/6.90 (v161(constB161) <=> v163(constB161)),
% 8.93/6.90 inference(unit_resolution,[status(thm)],[32745, 357])).
% 8.93/6.90 tff(32747,plain,
% 8.93/6.90 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB161) <=> (v145(constB161) | v167(constB161)))),
% 8.93/6.90 inference(quant_inst,[status(thm)],[])).
% 8.93/6.90 tff(32748,plain,
% 8.93/6.90 (v166(constB161) <=> (v145(constB161) | v167(constB161))),
% 8.93/6.90 inference(unit_resolution,[status(thm)],[32747, 369])).
% 8.93/6.90 tff(32749,plain,
% 8.93/6.90 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB161) <=> (v142(constB161) | v168(constB161)))),
% 8.93/6.90 inference(quant_inst,[status(thm)],[])).
% 8.93/6.90 tff(32750,plain,
% 8.93/6.90 (v167(constB161) <=> (v142(constB161) | v168(constB161))),
% 8.93/6.90 inference(unit_resolution,[status(thm)],[32749, 381])).
% 8.93/6.90 tff(32751,plain,
% 8.93/6.90 ((~![VarCurr: $i] : (v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr)))) | (v168(constB161) <=> (v141(constB161) | v169(constB161)))),
% 8.93/6.90 inference(quant_inst,[status(thm)],[])).
% 8.93/6.90 tff(32752,plain,
% 8.93/6.90 (v168(constB161) <=> (v141(constB161) | v169(constB161))),
% 8.93/6.90 inference(unit_resolution,[status(thm)],[32751, 393])).
% 8.93/6.90 tff(32753,plain,
% 8.93/6.90 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB161) <=> (~((~v88(constB161, bitIndex1)) | v88(constB161, bitIndex2) | (~v88(constB161, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB161) <=> (~((~v88(constB161, bitIndex1)) | v88(constB161, bitIndex2) | (~v88(constB161, bitIndex0))))))),
% 8.93/6.90 inference(rewrite,[status(thm)],[])).
% 8.93/6.90 tff(32754,plain,
% 8.93/6.90 ((v141(constB161) <=> (~(v88(constB161, bitIndex2) | (~v88(constB161, bitIndex1)) | (~v88(constB161, bitIndex0))))) <=> (v141(constB161) <=> (~((~v88(constB161, bitIndex1)) | v88(constB161, bitIndex2) | (~v88(constB161, bitIndex0)))))),
% 8.93/6.90 inference(rewrite,[status(thm)],[])).
% 8.93/6.90 tff(32755,plain,
% 8.93/6.90 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB161) <=> (~(v88(constB161, bitIndex2) | (~v88(constB161, bitIndex1)) | (~v88(constB161, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB161) <=> (~((~v88(constB161, bitIndex1)) | v88(constB161, bitIndex2) | (~v88(constB161, bitIndex0))))))),
% 8.93/6.90 inference(monotonicity,[status(thm)],[32754])).
% 8.93/6.90 tff(32756,plain,
% 8.93/6.90 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB161) <=> (~(v88(constB161, bitIndex2) | (~v88(constB161, bitIndex1)) | (~v88(constB161, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB161) <=> (~((~v88(constB161, bitIndex1)) | v88(constB161, bitIndex2) | (~v88(constB161, bitIndex0))))))),
% 8.93/6.90 inference(transitivity,[status(thm)],[32755, 32753])).
% 8.93/6.90 tff(32757,plain,
% 8.93/6.90 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB161) <=> (~(v88(constB161, bitIndex2) | (~v88(constB161, bitIndex1)) | (~v88(constB161, bitIndex0)))))),
% 8.93/6.90 inference(quant_inst,[status(thm)],[])).
% 8.93/6.90 tff(32758,plain,
% 8.93/6.90 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB161) <=> (~((~v88(constB161, bitIndex1)) | v88(constB161, bitIndex2) | (~v88(constB161, bitIndex0)))))),
% 8.93/6.90 inference(modus_ponens,[status(thm)],[32757, 32756])).
% 8.93/6.90 tff(32759,plain,
% 8.93/6.90 (v141(constB161) <=> (~((~v88(constB161, bitIndex1)) | v88(constB161, bitIndex2) | (~v88(constB161, bitIndex0))))),
% 8.93/6.90 inference(unit_resolution,[status(thm)],[32758, 408])).
% 8.93/6.90 tff(32760,plain,
% 8.93/6.90 ((~![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))) | (~(((~v88(constB161, bitIndex1)) <=> v90(constB161, bitIndex1)) | ((~v88(constB161, bitIndex2)) <=> v90(constB161, bitIndex2)) | ((~v88(constB161, bitIndex0)) <=> v90(constB161, bitIndex0))))),
% 8.93/6.90 inference(quant_inst,[status(thm)],[])).
% 8.93/6.90 tff(32761,plain,
% 8.93/6.90 (~(((~v88(constB161, bitIndex1)) <=> v90(constB161, bitIndex1)) | ((~v88(constB161, bitIndex2)) <=> v90(constB161, bitIndex2)) | ((~v88(constB161, bitIndex0)) <=> v90(constB161, bitIndex0)))),
% 8.93/6.90 inference(unit_resolution,[status(thm)],[32760, 428])).
% 8.93/6.90 tff(32762,plain,
% 8.93/6.90 ((((~v88(constB161, bitIndex1)) <=> v90(constB161, bitIndex1)) | ((~v88(constB161, bitIndex2)) <=> v90(constB161, bitIndex2)) | ((~v88(constB161, bitIndex0)) <=> v90(constB161, bitIndex0))) | (~((~v88(constB161, bitIndex2)) <=> v90(constB161, bitIndex2)))),
% 8.93/6.90 inference(tautology,[status(thm)],[])).
% 8.93/6.91 tff(32763,plain,
% 8.93/6.91 (~((~v88(constB161, bitIndex2)) <=> v90(constB161, bitIndex2))),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32762, 32761])).
% 8.93/6.91 tff(32764,plain,
% 8.93/6.91 (((~v88(constB161, bitIndex2)) <=> v90(constB161, bitIndex2)) | (~v88(constB161, bitIndex2)) | v90(constB161, bitIndex2)),
% 8.93/6.91 inference(tautology,[status(thm)],[])).
% 8.93/6.91 tff(32765,plain,
% 8.93/6.91 (~v88(constB161, bitIndex2)),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32764, 21217, 32763])).
% 8.93/6.91 tff(32766,plain,
% 8.93/6.91 ((((~v88(constB161, bitIndex1)) <=> v90(constB161, bitIndex1)) | ((~v88(constB161, bitIndex2)) <=> v90(constB161, bitIndex2)) | ((~v88(constB161, bitIndex0)) <=> v90(constB161, bitIndex0))) | (~((~v88(constB161, bitIndex0)) <=> v90(constB161, bitIndex0)))),
% 8.93/6.91 inference(tautology,[status(thm)],[])).
% 8.93/6.91 tff(32767,plain,
% 8.93/6.91 (~((~v88(constB161, bitIndex0)) <=> v90(constB161, bitIndex0))),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32766, 32761])).
% 8.93/6.91 tff(32768,plain,
% 8.93/6.91 (((~v88(constB161, bitIndex0)) <=> v90(constB161, bitIndex0)) | v88(constB161, bitIndex0) | (~v90(constB161, bitIndex0))),
% 8.93/6.91 inference(tautology,[status(thm)],[])).
% 8.93/6.91 tff(32769,plain,
% 8.93/6.91 (v88(constB161, bitIndex0)),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32768, 21235, 32767])).
% 8.93/6.91 tff(32770,plain,
% 8.93/6.91 ((((~v88(constB161, bitIndex1)) <=> v90(constB161, bitIndex1)) | ((~v88(constB161, bitIndex2)) <=> v90(constB161, bitIndex2)) | ((~v88(constB161, bitIndex0)) <=> v90(constB161, bitIndex0))) | (~((~v88(constB161, bitIndex1)) <=> v90(constB161, bitIndex1)))),
% 8.93/6.91 inference(tautology,[status(thm)],[])).
% 8.93/6.91 tff(32771,plain,
% 8.93/6.91 (~((~v88(constB161, bitIndex1)) <=> v90(constB161, bitIndex1))),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32770, 32761])).
% 8.93/6.91 tff(32772,plain,
% 8.93/6.91 (((~v88(constB161, bitIndex1)) <=> v90(constB161, bitIndex1)) | v88(constB161, bitIndex1) | (~v90(constB161, bitIndex1))),
% 8.93/6.91 inference(tautology,[status(thm)],[])).
% 8.93/6.91 tff(32773,plain,
% 8.93/6.91 (v88(constB161, bitIndex1)),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32772, 21253, 32771])).
% 8.93/6.91 tff(32774,plain,
% 8.93/6.91 ((~((~v88(constB161, bitIndex1)) | v88(constB161, bitIndex2) | (~v88(constB161, bitIndex0)))) | (~v88(constB161, bitIndex1)) | v88(constB161, bitIndex2) | (~v88(constB161, bitIndex0))),
% 8.93/6.91 inference(tautology,[status(thm)],[])).
% 8.93/6.91 tff(32775,plain,
% 8.93/6.91 (~((~v88(constB161, bitIndex1)) | v88(constB161, bitIndex2) | (~v88(constB161, bitIndex0)))),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32774, 32773, 32769, 32765])).
% 8.93/6.91 tff(32776,plain,
% 8.93/6.91 ((~(v141(constB161) <=> (~((~v88(constB161, bitIndex1)) | v88(constB161, bitIndex2) | (~v88(constB161, bitIndex0)))))) | v141(constB161) | ((~v88(constB161, bitIndex1)) | v88(constB161, bitIndex2) | (~v88(constB161, bitIndex0)))),
% 8.93/6.91 inference(tautology,[status(thm)],[])).
% 8.93/6.91 tff(32777,plain,
% 8.93/6.91 (v141(constB161)),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32776, 32775, 32759])).
% 8.93/6.91 tff(32778,plain,
% 8.93/6.91 ((v141(constB161) | v169(constB161)) | (~v141(constB161))),
% 8.93/6.91 inference(tautology,[status(thm)],[])).
% 8.93/6.91 tff(32779,plain,
% 8.93/6.91 (v141(constB161) | v169(constB161)),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32778, 32777])).
% 8.93/6.91 tff(32780,plain,
% 8.93/6.91 ((~(v168(constB161) <=> (v141(constB161) | v169(constB161)))) | v168(constB161) | (~(v141(constB161) | v169(constB161)))),
% 8.93/6.91 inference(tautology,[status(thm)],[])).
% 8.93/6.91 tff(32781,plain,
% 8.93/6.91 (v168(constB161)),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32780, 32779, 32752])).
% 8.93/6.91 tff(32782,plain,
% 8.93/6.91 ((v142(constB161) | v168(constB161)) | (~v168(constB161))),
% 8.93/6.91 inference(tautology,[status(thm)],[])).
% 8.93/6.91 tff(32783,plain,
% 8.93/6.91 (v142(constB161) | v168(constB161)),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32782, 32781])).
% 8.93/6.91 tff(32784,plain,
% 8.93/6.91 ((~(v167(constB161) <=> (v142(constB161) | v168(constB161)))) | v167(constB161) | (~(v142(constB161) | v168(constB161)))),
% 8.93/6.91 inference(tautology,[status(thm)],[])).
% 8.93/6.91 tff(32785,plain,
% 8.93/6.91 ((~(v167(constB161) <=> (v142(constB161) | v168(constB161)))) | v167(constB161)),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32784, 32783])).
% 8.93/6.91 tff(32786,plain,
% 8.93/6.91 (v167(constB161)),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32785, 32750])).
% 8.93/6.91 tff(32787,plain,
% 8.93/6.91 ((v145(constB161) | v167(constB161)) | (~v167(constB161))),
% 8.93/6.91 inference(tautology,[status(thm)],[])).
% 8.93/6.91 tff(32788,plain,
% 8.93/6.91 (v145(constB161) | v167(constB161)),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32787, 32786])).
% 8.93/6.91 tff(32789,plain,
% 8.93/6.91 ((~(v166(constB161) <=> (v145(constB161) | v167(constB161)))) | v166(constB161) | (~(v145(constB161) | v167(constB161)))),
% 8.93/6.91 inference(tautology,[status(thm)],[])).
% 8.93/6.91 tff(32790,plain,
% 8.93/6.91 (v166(constB161)),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32789, 32788, 32748])).
% 8.93/6.91 tff(32791,plain,
% 8.93/6.91 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB161)) | (v163(constB161) <=> v170(constB161)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB161)) | (v163(constB161) <=> v170(constB161)))),
% 8.93/6.91 inference(rewrite,[status(thm)],[])).
% 8.93/6.91 tff(32792,plain,
% 8.93/6.91 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB161)) | (v163(constB161) <=> v170(constB161)))),
% 8.93/6.91 inference(quant_inst,[status(thm)],[])).
% 8.93/6.91 tff(32793,plain,
% 8.93/6.91 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB161)) | (v163(constB161) <=> v170(constB161))),
% 8.93/6.91 inference(modus_ponens,[status(thm)],[32792, 32791])).
% 8.93/6.91 tff(32794,plain,
% 8.93/6.91 ((~v166(constB161)) | (v163(constB161) <=> v170(constB161))),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32793, 9851])).
% 8.93/6.91 tff(32795,plain,
% 8.93/6.91 (v163(constB161) <=> v170(constB161)),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32794, 32790])).
% 8.93/6.91 tff(32796,plain,
% 8.93/6.91 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB161) <=> (v142(constB161) | v150(constB161)))),
% 8.93/6.91 inference(quant_inst,[status(thm)],[])).
% 8.93/6.91 tff(32797,plain,
% 8.93/6.91 (v171(constB161) <=> (v142(constB161) | v150(constB161))),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32796, 9866])).
% 8.93/6.91 tff(32798,plain,
% 8.93/6.91 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v141(VarCurr) | v151(VarCurr)))) | (v150(constB161) <=> (v141(constB161) | v151(constB161)))),
% 8.93/6.91 inference(quant_inst,[status(thm)],[])).
% 8.93/6.91 tff(32799,plain,
% 8.93/6.91 (v150(constB161) <=> (v141(constB161) | v151(constB161))),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32798, 9878])).
% 8.93/6.91 tff(32800,plain,
% 8.93/6.91 ((v141(constB161) | v151(constB161)) | (~v141(constB161))),
% 8.93/6.91 inference(tautology,[status(thm)],[])).
% 8.93/6.91 tff(32801,plain,
% 8.93/6.91 (v141(constB161) | v151(constB161)),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32800, 32777])).
% 8.93/6.91 tff(32802,plain,
% 8.93/6.91 ((~(v150(constB161) <=> (v141(constB161) | v151(constB161)))) | v150(constB161) | (~(v141(constB161) | v151(constB161)))),
% 8.93/6.91 inference(tautology,[status(thm)],[])).
% 8.93/6.91 tff(32803,plain,
% 8.93/6.91 (v150(constB161)),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32802, 32801, 32799])).
% 8.93/6.91 tff(32804,plain,
% 8.93/6.91 ((v142(constB161) | v150(constB161)) | (~v150(constB161))),
% 8.93/6.91 inference(tautology,[status(thm)],[])).
% 8.93/6.91 tff(32805,plain,
% 8.93/6.91 (v142(constB161) | v150(constB161)),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32804, 32803])).
% 8.93/6.91 tff(32806,plain,
% 8.93/6.91 ((~(v171(constB161) <=> (v142(constB161) | v150(constB161)))) | v171(constB161) | (~(v142(constB161) | v150(constB161)))),
% 8.93/6.91 inference(tautology,[status(thm)],[])).
% 8.93/6.91 tff(32807,plain,
% 8.93/6.91 ((~(v171(constB161) <=> (v142(constB161) | v150(constB161)))) | v171(constB161)),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32806, 32805])).
% 8.93/6.91 tff(32808,plain,
% 8.93/6.91 (v171(constB161)),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32807, 32797])).
% 8.93/6.91 tff(32809,plain,
% 8.93/6.91 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB161)) | (~v171(constB161)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB161)) | (~v171(constB161)))),
% 8.93/6.91 inference(rewrite,[status(thm)],[])).
% 8.93/6.91 tff(32810,plain,
% 8.93/6.91 (((~v171(constB161)) | (~v170(constB161))) <=> ((~v170(constB161)) | (~v171(constB161)))),
% 8.93/6.91 inference(rewrite,[status(thm)],[])).
% 8.93/6.91 tff(32811,plain,
% 8.93/6.91 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB161)) | (~v170(constB161)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB161)) | (~v171(constB161))))),
% 8.93/6.91 inference(monotonicity,[status(thm)],[32810])).
% 8.93/6.91 tff(32812,plain,
% 8.93/6.91 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB161)) | (~v170(constB161)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB161)) | (~v171(constB161)))),
% 8.93/6.91 inference(transitivity,[status(thm)],[32811, 32809])).
% 8.93/6.91 tff(32813,plain,
% 8.93/6.91 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB161)) | (~v170(constB161)))),
% 8.93/6.91 inference(quant_inst,[status(thm)],[])).
% 8.93/6.91 tff(32814,plain,
% 8.93/6.91 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB161)) | (~v171(constB161))),
% 8.93/6.91 inference(modus_ponens,[status(thm)],[32813, 32812])).
% 8.93/6.91 tff(32815,plain,
% 8.93/6.91 (~v170(constB161)),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32814, 9899, 32808])).
% 8.93/6.91 tff(32816,plain,
% 8.93/6.91 ((~(v163(constB161) <=> v170(constB161))) | (~v163(constB161)) | v170(constB161)),
% 8.93/6.91 inference(tautology,[status(thm)],[])).
% 8.93/6.91 tff(32817,plain,
% 8.93/6.91 (~v163(constB161)),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32816, 32815, 32795])).
% 8.93/6.91 tff(32818,plain,
% 8.93/6.91 ((~(v161(constB161) <=> v163(constB161))) | (~v161(constB161)) | v163(constB161)),
% 8.93/6.91 inference(tautology,[status(thm)],[])).
% 8.93/6.91 tff(32819,plain,
% 8.93/6.91 (~v161(constB161)),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32818, 32817, 32746])).
% 8.93/6.91 tff(32820,plain,
% 8.93/6.91 (((~v159(constB161)) | (~v161(constB161))) | v161(constB161)),
% 8.93/6.91 inference(tautology,[status(thm)],[])).
% 8.93/6.91 tff(32821,plain,
% 8.93/6.91 ((~v159(constB161)) | (~v161(constB161))),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32820, 32819])).
% 8.93/6.91 tff(32822,plain,
% 8.93/6.91 ((~(v201(constB161) <=> (~((~v159(constB161)) | (~v161(constB161)))))) | (~v201(constB161)) | (~((~v159(constB161)) | (~v161(constB161))))),
% 8.93/6.91 inference(tautology,[status(thm)],[])).
% 8.93/6.91 tff(32823,plain,
% 8.93/6.91 (~v201(constB161)),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32822, 32821, 32744])).
% 8.93/6.91 tff(32824,plain,
% 8.93/6.91 (((~v197(constB161)) | (~v201(constB161))) | v201(constB161)),
% 8.93/6.91 inference(tautology,[status(thm)],[])).
% 8.93/6.91 tff(32825,plain,
% 8.93/6.91 ((~v197(constB161)) | (~v201(constB161))),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32824, 32823])).
% 8.93/6.91 tff(32826,plain,
% 8.93/6.91 ((~(v200(constB161) <=> (~((~v197(constB161)) | (~v201(constB161)))))) | (~v200(constB161)) | (~((~v197(constB161)) | (~v201(constB161))))),
% 8.93/6.91 inference(tautology,[status(thm)],[])).
% 8.93/6.91 tff(32827,plain,
% 8.93/6.91 (~v200(constB161)),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32826, 32825, 32742])).
% 8.93/6.91 tff(32828,plain,
% 8.93/6.91 (((~v199(constB161)) | (~v200(constB161))) | v200(constB161)),
% 8.93/6.91 inference(tautology,[status(thm)],[])).
% 8.93/6.91 tff(32829,plain,
% 8.93/6.91 ((~v199(constB161)) | (~v200(constB161))),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32828, 32827])).
% 8.93/6.91 tff(32830,plain,
% 8.93/6.91 ((~(v198(constB161) <=> (~((~v199(constB161)) | (~v200(constB161)))))) | (~v198(constB161)) | (~((~v199(constB161)) | (~v200(constB161))))),
% 8.93/6.91 inference(tautology,[status(thm)],[])).
% 8.93/6.91 tff(32831,plain,
% 8.93/6.91 (~v198(constB161)),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32830, 32829, 32740])).
% 8.93/6.91 tff(32832,plain,
% 8.93/6.91 ((~(v194(constB161) | v198(constB161))) | v194(constB161) | v198(constB161)),
% 8.93/6.91 inference(tautology,[status(thm)],[])).
% 8.93/6.91 tff(32833,plain,
% 8.93/6.91 (~(v194(constB161) | v198(constB161))),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32832, 32831, 32738])).
% 8.93/6.91 tff(32834,plain,
% 8.93/6.91 ((~(v191(constB161) <=> (v194(constB161) | v198(constB161)))) | (~v191(constB161)) | (v194(constB161) | v198(constB161))),
% 8.93/6.91 inference(tautology,[status(thm)],[])).
% 8.93/6.91 tff(32835,plain,
% 8.93/6.91 (~v191(constB161)),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32834, 32833, 32665])).
% 8.93/6.91 tff(32836,plain,
% 8.93/6.91 ((~(v193(constB162) <=> v191(constB161))) | (~v193(constB162)) | v191(constB161)),
% 8.93/6.91 inference(tautology,[status(thm)],[])).
% 8.93/6.91 tff(32837,plain,
% 8.93/6.91 (~v193(constB162)),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32836, 32835, 32663])).
% 8.93/6.91 tff(32838,plain,
% 8.93/6.91 ((~(v157(constB162) <=> v193(constB162))) | (~v157(constB162)) | v193(constB162)),
% 8.93/6.91 inference(tautology,[status(thm)],[])).
% 8.93/6.91 tff(32839,plain,
% 8.93/6.91 (~v157(constB162)),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32838, 32837, 32659])).
% 8.93/6.91 tff(32840,plain,
% 8.93/6.91 (((~v157(constB162)) | (~v195(constB162))) | v157(constB162)),
% 8.93/6.91 inference(tautology,[status(thm)],[])).
% 8.93/6.91 tff(32841,plain,
% 8.93/6.91 ((~v157(constB162)) | (~v195(constB162))),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32840, 32839])).
% 8.93/6.91 tff(32842,plain,
% 8.93/6.91 ((~(v194(constB162) <=> (~((~v157(constB162)) | (~v195(constB162)))))) | (~v194(constB162)) | (~((~v157(constB162)) | (~v195(constB162))))),
% 8.93/6.91 inference(tautology,[status(thm)],[])).
% 8.93/6.91 tff(32843,plain,
% 8.93/6.91 (~v194(constB162)),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32842, 32841, 32657])).
% 8.93/6.91 tff(32844,plain,
% 8.93/6.91 ((~(v194(constB162) | v198(constB162))) | v194(constB162) | v198(constB162)),
% 8.93/6.91 inference(tautology,[status(thm)],[])).
% 8.93/6.91 tff(32845,plain,
% 8.93/6.91 (~(v194(constB162) | v198(constB162))),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32844, 32843, 32650])).
% 8.93/6.91 tff(32846,plain,
% 8.93/6.91 ((~(v191(constB162) <=> (v194(constB162) | v198(constB162)))) | (~v191(constB162)) | (v194(constB162) | v198(constB162))),
% 8.93/6.91 inference(tautology,[status(thm)],[])).
% 8.93/6.91 tff(32847,plain,
% 8.93/6.91 (~v191(constB162)),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32846, 32845, 32625])).
% 8.93/6.91 tff(32848,plain,
% 8.93/6.91 ((~(v193(constB163) <=> v191(constB162))) | (~v193(constB163)) | v191(constB162)),
% 8.93/6.91 inference(tautology,[status(thm)],[])).
% 8.93/6.91 tff(32849,plain,
% 8.93/6.91 (~v193(constB163)),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32848, 32847, 32623])).
% 8.93/6.91 tff(32850,plain,
% 8.93/6.91 ($false),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32849, 32619])).
% 8.93/6.91 tff(32851,plain,(~(constB163 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.93/6.91 tff(32852,assumption,(constB137 = VarCurr!0), introduced(assumption)).
% 8.93/6.91 tff(32853,plain,
% 8.93/6.91 (v193(constB137) <=> v193(VarCurr!0)),
% 8.93/6.91 inference(monotonicity,[status(thm)],[32852])).
% 8.93/6.91 tff(32854,plain,
% 8.93/6.91 (v193(VarCurr!0) <=> v193(constB137)),
% 8.93/6.91 inference(symmetry,[status(thm)],[32853])).
% 8.93/6.91 tff(32855,plain,
% 8.93/6.91 (v193(constB137)),
% 8.93/6.91 inference(modus_ponens,[status(thm)],[59, 32854])).
% 8.93/6.91 tff(32856,plain,
% 8.93/6.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB136, constB137)) | (v193(constB137) <=> v191(constB136)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB136, constB137)) | (v193(constB137) <=> v191(constB136)))),
% 8.93/6.91 inference(rewrite,[status(thm)],[])).
% 8.93/6.91 tff(32857,plain,
% 8.93/6.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB136, constB137)) | (v193(constB137) <=> v191(constB136)))),
% 8.93/6.91 inference(quant_inst,[status(thm)],[])).
% 8.93/6.91 tff(32858,plain,
% 8.93/6.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB136, constB137)) | (v193(constB137) <=> v191(constB136))),
% 8.93/6.91 inference(modus_ponens,[status(thm)],[32857, 32856])).
% 8.93/6.91 tff(32859,plain,
% 8.93/6.91 (v193(constB137) <=> v191(constB136)),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32858, 16860, 70])).
% 8.93/6.91 tff(32860,plain,
% 8.93/6.91 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB136) <=> (v194(constB136) | v198(constB136)))),
% 8.93/6.91 inference(quant_inst,[status(thm)],[])).
% 8.93/6.91 tff(32861,plain,
% 8.93/6.91 (v191(constB136) <=> (v194(constB136) | v198(constB136))),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32860, 84])).
% 8.93/6.91 tff(32862,plain,
% 8.93/6.91 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB136) <=> (~((~v199(constB136)) | (~v200(constB136)))))),
% 8.93/6.91 inference(quant_inst,[status(thm)],[])).
% 8.93/6.91 tff(32863,plain,
% 8.93/6.91 (v198(constB136) <=> (~((~v199(constB136)) | (~v200(constB136))))),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32862, 96])).
% 8.93/6.91 tff(32864,plain,
% 8.93/6.91 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB136) <=> (~((~v197(constB136)) | (~v201(constB136)))))),
% 8.93/6.91 inference(quant_inst,[status(thm)],[])).
% 8.93/6.91 tff(32865,plain,
% 8.93/6.91 (v200(constB136) <=> (~((~v197(constB136)) | (~v201(constB136))))),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32864, 108])).
% 8.93/6.91 tff(32866,plain,
% 8.93/6.91 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB136) <=> (~((~v39(constB136)) | (~v9(constB136)))))),
% 8.93/6.91 inference(quant_inst,[status(thm)],[])).
% 8.93/6.91 tff(32867,plain,
% 8.93/6.91 (v197(constB136) <=> (~((~v39(constB136)) | (~v9(constB136))))),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32866, 120])).
% 8.93/6.91 tff(32868,plain,
% 8.93/6.91 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB136)) <=> v1(constB136))),
% 8.93/6.91 inference(quant_inst,[status(thm)],[])).
% 8.93/6.91 tff(32869,plain,
% 8.93/6.91 ((~v39(constB136)) <=> v1(constB136)),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32868, 129])).
% 8.93/6.91 tff(32870,plain,
% 8.93/6.91 ((~((~v39(constB136)) <=> v1(constB136))) | (~v39(constB136)) | (~v1(constB136))),
% 8.93/6.91 inference(tautology,[status(thm)],[])).
% 8.93/6.91 tff(32871,plain,
% 8.93/6.91 ((~((~v39(constB136)) <=> v1(constB136))) | (~v39(constB136))),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32870, 19246])).
% 8.93/6.91 tff(32872,plain,
% 8.93/6.91 (~v39(constB136)),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32871, 32869])).
% 8.93/6.91 tff(32873,plain,
% 8.93/6.91 (((~v39(constB136)) | (~v9(constB136))) | v39(constB136)),
% 8.93/6.91 inference(tautology,[status(thm)],[])).
% 8.93/6.91 tff(32874,plain,
% 8.93/6.91 ((~v39(constB136)) | (~v9(constB136))),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32873, 32872])).
% 8.93/6.91 tff(32875,plain,
% 8.93/6.91 ((~(v197(constB136) <=> (~((~v39(constB136)) | (~v9(constB136)))))) | (~v197(constB136)) | (~((~v39(constB136)) | (~v9(constB136))))),
% 8.93/6.91 inference(tautology,[status(thm)],[])).
% 8.93/6.91 tff(32876,plain,
% 8.93/6.91 ((~(v197(constB136) <=> (~((~v39(constB136)) | (~v9(constB136)))))) | (~v197(constB136))),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32875, 32874])).
% 8.93/6.91 tff(32877,plain,
% 8.93/6.91 (~v197(constB136)),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32876, 32867])).
% 8.93/6.91 tff(32878,plain,
% 8.93/6.91 (((~v197(constB136)) | (~v201(constB136))) | v197(constB136)),
% 8.93/6.91 inference(tautology,[status(thm)],[])).
% 8.93/6.91 tff(32879,plain,
% 8.93/6.91 ((~v197(constB136)) | (~v201(constB136))),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32878, 32877])).
% 8.93/6.91 tff(32880,plain,
% 8.93/6.91 ((~(v200(constB136) <=> (~((~v197(constB136)) | (~v201(constB136)))))) | (~v200(constB136)) | (~((~v197(constB136)) | (~v201(constB136))))),
% 8.93/6.91 inference(tautology,[status(thm)],[])).
% 8.93/6.91 tff(32881,plain,
% 8.93/6.91 ((~(v200(constB136) <=> (~((~v197(constB136)) | (~v201(constB136)))))) | (~v200(constB136))),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32880, 32879])).
% 8.93/6.91 tff(32882,plain,
% 8.93/6.91 (~v200(constB136)),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32881, 32865])).
% 8.93/6.91 tff(32883,plain,
% 8.93/6.91 (((~v199(constB136)) | (~v200(constB136))) | v200(constB136)),
% 8.93/6.91 inference(tautology,[status(thm)],[])).
% 8.93/6.91 tff(32884,plain,
% 8.93/6.91 ((~v199(constB136)) | (~v200(constB136))),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32883, 32882])).
% 8.93/6.91 tff(32885,plain,
% 8.93/6.91 ((~(v198(constB136) <=> (~((~v199(constB136)) | (~v200(constB136)))))) | (~v198(constB136)) | (~((~v199(constB136)) | (~v200(constB136))))),
% 8.93/6.91 inference(tautology,[status(thm)],[])).
% 8.93/6.91 tff(32886,plain,
% 8.93/6.91 (~v198(constB136)),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32885, 32884, 32863])).
% 8.93/6.91 tff(32887,plain,
% 8.93/6.91 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB136) <=> (~((~v157(constB136)) | (~v195(constB136)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB136) <=> (~((~v157(constB136)) | (~v195(constB136))))))),
% 8.93/6.91 inference(rewrite,[status(thm)],[])).
% 8.93/6.91 tff(32888,plain,
% 8.93/6.91 ((v194(constB136) <=> (~((~v195(constB136)) | (~v157(constB136))))) <=> (v194(constB136) <=> (~((~v157(constB136)) | (~v195(constB136)))))),
% 8.93/6.91 inference(rewrite,[status(thm)],[])).
% 8.93/6.91 tff(32889,plain,
% 8.93/6.91 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB136) <=> (~((~v195(constB136)) | (~v157(constB136)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB136) <=> (~((~v157(constB136)) | (~v195(constB136))))))),
% 8.93/6.91 inference(monotonicity,[status(thm)],[32888])).
% 8.93/6.91 tff(32890,plain,
% 8.93/6.91 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB136) <=> (~((~v195(constB136)) | (~v157(constB136)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB136) <=> (~((~v157(constB136)) | (~v195(constB136))))))),
% 8.93/6.91 inference(transitivity,[status(thm)],[32889, 32887])).
% 8.93/6.91 tff(32891,plain,
% 8.93/6.91 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB136) <=> (~((~v195(constB136)) | (~v157(constB136)))))),
% 8.93/6.91 inference(quant_inst,[status(thm)],[])).
% 8.93/6.91 tff(32892,plain,
% 8.93/6.91 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB136) <=> (~((~v157(constB136)) | (~v195(constB136)))))),
% 8.93/6.91 inference(modus_ponens,[status(thm)],[32891, 32890])).
% 8.93/6.91 tff(32893,plain,
% 8.93/6.91 (v194(constB136) <=> (~((~v157(constB136)) | (~v195(constB136))))),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32892, 161])).
% 8.93/6.91 tff(32894,plain,
% 8.93/6.91 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB136) <=> v193(constB136))),
% 8.93/6.91 inference(quant_inst,[status(thm)],[])).
% 8.93/6.91 tff(32895,plain,
% 8.93/6.91 (v157(constB136) <=> v193(constB136)),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32894, 13])).
% 8.93/6.91 tff(32896,plain,
% 8.93/6.91 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB135, constB136)) | (v193(constB136) <=> v191(constB135)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB135, constB136)) | (v193(constB136) <=> v191(constB135)))),
% 8.93/6.91 inference(rewrite,[status(thm)],[])).
% 8.93/6.91 tff(32897,plain,
% 8.93/6.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB135, constB136)) | (v193(constB136) <=> v191(constB135)))),
% 8.93/6.91 inference(quant_inst,[status(thm)],[])).
% 8.93/6.91 tff(32898,plain,
% 8.93/6.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB135, constB136)) | (v193(constB136) <=> v191(constB135))),
% 8.93/6.91 inference(modus_ponens,[status(thm)],[32897, 32896])).
% 8.93/6.91 tff(32899,plain,
% 8.93/6.91 (v193(constB136) <=> v191(constB135)),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32898, 16896, 70])).
% 8.93/6.91 tff(32900,plain,
% 8.93/6.91 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB135) <=> (v194(constB135) | v198(constB135)))),
% 8.93/6.91 inference(quant_inst,[status(thm)],[])).
% 8.93/6.91 tff(32901,plain,
% 8.93/6.91 (v191(constB135) <=> (v194(constB135) | v198(constB135))),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32900, 84])).
% 8.93/6.91 tff(32902,plain,
% 8.93/6.91 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB135) <=> (~((~v157(constB135)) | (~v195(constB135)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB135) <=> (~((~v157(constB135)) | (~v195(constB135))))))),
% 8.93/6.91 inference(rewrite,[status(thm)],[])).
% 8.93/6.91 tff(32903,plain,
% 8.93/6.91 ((v194(constB135) <=> (~((~v195(constB135)) | (~v157(constB135))))) <=> (v194(constB135) <=> (~((~v157(constB135)) | (~v195(constB135)))))),
% 8.93/6.91 inference(rewrite,[status(thm)],[])).
% 8.93/6.91 tff(32904,plain,
% 8.93/6.91 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB135) <=> (~((~v195(constB135)) | (~v157(constB135)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB135) <=> (~((~v157(constB135)) | (~v195(constB135))))))),
% 8.93/6.91 inference(monotonicity,[status(thm)],[32903])).
% 8.93/6.91 tff(32905,plain,
% 8.93/6.91 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB135) <=> (~((~v195(constB135)) | (~v157(constB135)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB135) <=> (~((~v157(constB135)) | (~v195(constB135))))))),
% 8.93/6.91 inference(transitivity,[status(thm)],[32904, 32902])).
% 8.93/6.91 tff(32906,plain,
% 8.93/6.91 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB135) <=> (~((~v195(constB135)) | (~v157(constB135)))))),
% 8.93/6.91 inference(quant_inst,[status(thm)],[])).
% 8.93/6.91 tff(32907,plain,
% 8.93/6.91 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB135) <=> (~((~v157(constB135)) | (~v195(constB135)))))),
% 8.93/6.91 inference(modus_ponens,[status(thm)],[32906, 32905])).
% 8.93/6.91 tff(32908,plain,
% 8.93/6.91 (v194(constB135) <=> (~((~v157(constB135)) | (~v195(constB135))))),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32907, 161])).
% 8.93/6.91 tff(32909,plain,
% 8.93/6.91 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB135)) <=> v196(constB135))),
% 8.93/6.91 inference(quant_inst,[status(thm)],[])).
% 8.93/6.91 tff(32910,plain,
% 8.93/6.91 ((~v195(constB135)) <=> v196(constB135)),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32909, 193])).
% 8.93/6.91 tff(32911,plain,
% 8.93/6.91 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB135) <=> (v197(constB135) | v26(constB135)))),
% 8.93/6.91 inference(quant_inst,[status(thm)],[])).
% 8.93/6.91 tff(32912,plain,
% 8.93/6.91 (v196(constB135) <=> (v197(constB135) | v26(constB135))),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32911, 202])).
% 8.93/6.91 tff(32913,plain,
% 8.93/6.91 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB135) <=> (~((~v39(constB135)) | (~v9(constB135)))))),
% 8.93/6.91 inference(quant_inst,[status(thm)],[])).
% 8.93/6.91 tff(32914,plain,
% 8.93/6.91 (v197(constB135) <=> (~((~v39(constB135)) | (~v9(constB135))))),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32913, 120])).
% 8.93/6.91 tff(32915,plain,
% 8.93/6.91 (((~![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)))),
% 8.93/6.91 inference(rewrite,[status(thm)],[])).
% 8.93/6.91 tff(32916,plain,
% 8.93/6.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB135, constB136)) | (v13(constB136) <=> v9(constB135)))),
% 8.93/6.91 inference(quant_inst,[status(thm)],[])).
% 8.93/6.91 tff(32917,plain,
% 8.93/6.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB135, constB136)) | (v13(constB136) <=> v9(constB135))),
% 8.93/6.91 inference(modus_ponens,[status(thm)],[32916, 32915])).
% 8.93/6.91 tff(32918,plain,
% 8.93/6.91 (v13(constB136) <=> v9(constB135)),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32917, 16896, 216])).
% 8.93/6.91 tff(32919,plain,
% 8.93/6.91 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB136) <=> v13(constB136))),
% 8.93/6.91 inference(quant_inst,[status(thm)],[])).
% 8.93/6.91 tff(32920,plain,
% 8.93/6.91 (v6(constB136) <=> v13(constB136)),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32919, 230])).
% 8.93/6.91 tff(32921,plain,
% 8.93/6.91 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB136)) <=> v6(constB136))),
% 8.93/6.91 inference(quant_inst,[status(thm)],[])).
% 8.93/6.91 tff(32922,plain,
% 8.93/6.91 ((~v21(constB136)) <=> v6(constB136)),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32921, 239])).
% 8.93/6.91 tff(32923,plain,
% 8.93/6.91 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB136) <=> (v20(constB136) | v21(constB136)))),
% 8.93/6.91 inference(quant_inst,[status(thm)],[])).
% 8.93/6.91 tff(32924,plain,
% 8.93/6.91 (v19(constB136) <=> (v20(constB136) | v21(constB136))),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32923, 248])).
% 8.93/6.91 tff(32925,plain,
% 8.93/6.91 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB136) <=> (~((~v19(constB136)) | (~v22(constB136)))))),
% 8.93/6.91 inference(quant_inst,[status(thm)],[])).
% 8.93/6.91 tff(32926,plain,
% 8.93/6.91 (v18(constB136) <=> (~((~v19(constB136)) | (~v22(constB136))))),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32925, 260])).
% 8.93/6.91 tff(32927,plain,
% 8.93/6.91 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB136)) <=> v18(constB136))),
% 8.93/6.91 inference(quant_inst,[status(thm)],[])).
% 8.93/6.91 tff(32928,plain,
% 8.93/6.91 ((~v4(constB136)) <=> v18(constB136)),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32927, 269])).
% 8.93/6.91 tff(32929,plain,
% 8.93/6.91 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB136)),
% 8.93/6.91 inference(quant_inst,[status(thm)],[])).
% 8.93/6.91 tff(32930,plain,
% 8.93/6.91 (v4(constB136)),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32929, 278])).
% 8.93/6.91 tff(32931,plain,
% 8.93/6.91 ((~((~v4(constB136)) <=> v18(constB136))) | (~v4(constB136)) | (~v18(constB136))),
% 8.93/6.91 inference(tautology,[status(thm)],[])).
% 8.93/6.91 tff(32932,plain,
% 8.93/6.91 (~v18(constB136)),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32931, 32930, 32928])).
% 8.93/6.91 tff(32933,plain,
% 8.93/6.91 ((~(v18(constB136) <=> (~((~v19(constB136)) | (~v22(constB136)))))) | v18(constB136) | ((~v19(constB136)) | (~v22(constB136)))),
% 8.93/6.91 inference(tautology,[status(thm)],[])).
% 8.93/6.91 tff(32934,plain,
% 8.93/6.91 ((~v19(constB136)) | (~v22(constB136))),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32933, 32932, 32926])).
% 8.93/6.91 tff(32935,plain,
% 8.93/6.91 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB136) <=> (v1(constB136) | v6(constB136)))),
% 8.93/6.91 inference(quant_inst,[status(thm)],[])).
% 8.93/6.91 tff(32936,plain,
% 8.93/6.91 (v22(constB136) <=> (v1(constB136) | v6(constB136))),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32935, 291])).
% 8.93/6.91 tff(32937,plain,
% 8.93/6.91 ((v1(constB136) | v6(constB136)) | (~v1(constB136))),
% 8.93/6.91 inference(tautology,[status(thm)],[])).
% 8.93/6.91 tff(32938,plain,
% 8.93/6.91 (v1(constB136) | v6(constB136)),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32937, 19246])).
% 8.93/6.91 tff(32939,plain,
% 8.93/6.91 ((~(v22(constB136) <=> (v1(constB136) | v6(constB136)))) | v22(constB136) | (~(v1(constB136) | v6(constB136)))),
% 8.93/6.91 inference(tautology,[status(thm)],[])).
% 8.93/6.91 tff(32940,plain,
% 8.93/6.91 ((~(v22(constB136) <=> (v1(constB136) | v6(constB136)))) | v22(constB136)),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32939, 32938])).
% 8.93/6.91 tff(32941,plain,
% 8.93/6.91 (v22(constB136)),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32940, 32936])).
% 8.93/6.91 tff(32942,plain,
% 8.93/6.91 ((~((~v19(constB136)) | (~v22(constB136)))) | (~v19(constB136)) | (~v22(constB136))),
% 8.93/6.91 inference(tautology,[status(thm)],[])).
% 8.93/6.91 tff(32943,plain,
% 8.93/6.91 ((~((~v19(constB136)) | (~v22(constB136)))) | (~v19(constB136))),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32942, 32941])).
% 8.93/6.91 tff(32944,plain,
% 8.93/6.91 (~v19(constB136)),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32943, 32934])).
% 8.93/6.91 tff(32945,plain,
% 8.93/6.91 ((~(v19(constB136) <=> (v20(constB136) | v21(constB136)))) | v19(constB136) | (~(v20(constB136) | v21(constB136)))),
% 8.93/6.91 inference(tautology,[status(thm)],[])).
% 8.93/6.91 tff(32946,plain,
% 8.93/6.91 (~(v20(constB136) | v21(constB136))),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32945, 32944, 32924])).
% 8.93/6.91 tff(32947,plain,
% 8.93/6.91 ((v20(constB136) | v21(constB136)) | (~v21(constB136))),
% 8.93/6.91 inference(tautology,[status(thm)],[])).
% 8.93/6.91 tff(32948,plain,
% 8.93/6.91 (~v21(constB136)),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32947, 32946])).
% 8.93/6.91 tff(32949,plain,
% 8.93/6.91 ((~((~v21(constB136)) <=> v6(constB136))) | v21(constB136) | v6(constB136)),
% 8.93/6.91 inference(tautology,[status(thm)],[])).
% 8.93/6.91 tff(32950,plain,
% 8.93/6.91 (v6(constB136)),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32949, 32948, 32922])).
% 8.93/6.91 tff(32951,plain,
% 8.93/6.91 ((~(v6(constB136) <=> v13(constB136))) | (~v6(constB136)) | v13(constB136)),
% 8.93/6.91 inference(tautology,[status(thm)],[])).
% 8.93/6.91 tff(32952,plain,
% 8.93/6.91 (v13(constB136)),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32951, 32950, 32920])).
% 8.93/6.91 tff(32953,plain,
% 8.93/6.91 ((~(v13(constB136) <=> v9(constB135))) | (~v13(constB136)) | v9(constB135)),
% 8.93/6.91 inference(tautology,[status(thm)],[])).
% 8.93/6.91 tff(32954,plain,
% 8.93/6.91 (v9(constB135)),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32953, 32952, 32918])).
% 8.93/6.91 tff(32955,plain,
% 8.93/6.91 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB135)) <=> v1(constB135))),
% 8.93/6.91 inference(quant_inst,[status(thm)],[])).
% 8.93/6.91 tff(32956,plain,
% 8.93/6.91 ((~v39(constB135)) <=> v1(constB135)),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32955, 129])).
% 8.93/6.91 tff(32957,plain,
% 8.93/6.91 ((~((~v39(constB135)) <=> v1(constB135))) | v39(constB135) | v1(constB135)),
% 8.93/6.91 inference(tautology,[status(thm)],[])).
% 8.93/6.91 tff(32958,plain,
% 8.93/6.91 ((~((~v39(constB135)) <=> v1(constB135))) | v39(constB135)),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32957, 16935])).
% 8.93/6.91 tff(32959,plain,
% 8.93/6.91 (v39(constB135)),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32958, 32956])).
% 8.93/6.91 tff(32960,plain,
% 8.93/6.91 ((~((~v39(constB135)) | (~v9(constB135)))) | (~v39(constB135)) | (~v9(constB135))),
% 8.93/6.91 inference(tautology,[status(thm)],[])).
% 8.93/6.91 tff(32961,plain,
% 8.93/6.91 ((~((~v39(constB135)) | (~v9(constB135)))) | (~v9(constB135))),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32960, 32959])).
% 8.93/6.91 tff(32962,plain,
% 8.93/6.91 (~((~v39(constB135)) | (~v9(constB135)))),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32961, 32954])).
% 8.93/6.91 tff(32963,plain,
% 8.93/6.91 ((~(v197(constB135) <=> (~((~v39(constB135)) | (~v9(constB135)))))) | v197(constB135) | ((~v39(constB135)) | (~v9(constB135)))),
% 8.93/6.91 inference(tautology,[status(thm)],[])).
% 8.93/6.91 tff(32964,plain,
% 8.93/6.91 (v197(constB135)),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32963, 32962, 32914])).
% 8.93/6.91 tff(32965,plain,
% 8.93/6.91 ((v197(constB135) | v26(constB135)) | (~v197(constB135))),
% 8.93/6.91 inference(tautology,[status(thm)],[])).
% 8.93/6.91 tff(32966,plain,
% 8.93/6.91 (v197(constB135) | v26(constB135)),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32965, 32964])).
% 8.93/6.91 tff(32967,plain,
% 8.93/6.91 ((~(v196(constB135) <=> (v197(constB135) | v26(constB135)))) | v196(constB135) | (~(v197(constB135) | v26(constB135)))),
% 8.93/6.91 inference(tautology,[status(thm)],[])).
% 8.93/6.91 tff(32968,plain,
% 8.93/6.91 (v196(constB135)),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32967, 32966, 32912])).
% 8.93/6.91 tff(32969,plain,
% 8.93/6.91 ((~((~v195(constB135)) <=> v196(constB135))) | (~v195(constB135)) | (~v196(constB135))),
% 8.93/6.91 inference(tautology,[status(thm)],[])).
% 8.93/6.91 tff(32970,plain,
% 8.93/6.91 (~v195(constB135)),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32969, 32968, 32910])).
% 8.93/6.91 tff(32971,plain,
% 8.93/6.91 (((~v157(constB135)) | (~v195(constB135))) | v195(constB135)),
% 8.93/6.91 inference(tautology,[status(thm)],[])).
% 8.93/6.91 tff(32972,plain,
% 8.93/6.91 ((~v157(constB135)) | (~v195(constB135))),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32971, 32970])).
% 8.93/6.91 tff(32973,plain,
% 8.93/6.91 ((~(v194(constB135) <=> (~((~v157(constB135)) | (~v195(constB135)))))) | (~v194(constB135)) | (~((~v157(constB135)) | (~v195(constB135))))),
% 8.93/6.91 inference(tautology,[status(thm)],[])).
% 8.93/6.91 tff(32974,plain,
% 8.93/6.91 (~v194(constB135)),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32973, 32972, 32908])).
% 8.93/6.91 tff(32975,plain,
% 8.93/6.91 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB135) <=> (~((~v199(constB135)) | (~v200(constB135)))))),
% 8.93/6.91 inference(quant_inst,[status(thm)],[])).
% 8.93/6.91 tff(32976,plain,
% 8.93/6.91 (v198(constB135) <=> (~((~v199(constB135)) | (~v200(constB135))))),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32975, 96])).
% 8.93/6.91 tff(32977,plain,
% 8.93/6.91 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB135) <=> (~((~v197(constB135)) | (~v201(constB135)))))),
% 8.93/6.91 inference(quant_inst,[status(thm)],[])).
% 8.93/6.91 tff(32978,plain,
% 8.93/6.91 (v200(constB135) <=> (~((~v197(constB135)) | (~v201(constB135))))),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32977, 108])).
% 8.93/6.91 tff(32979,plain,
% 8.93/6.91 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB135) <=> (~((~v159(constB135)) | (~v161(constB135)))))),
% 8.93/6.91 inference(quant_inst,[status(thm)],[])).
% 8.93/6.91 tff(32980,plain,
% 8.93/6.91 (v201(constB135) <=> (~((~v159(constB135)) | (~v161(constB135))))),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32979, 348])).
% 8.93/6.91 tff(32981,plain,
% 8.93/6.91 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB135) <=> v163(constB135))),
% 8.93/6.91 inference(quant_inst,[status(thm)],[])).
% 8.93/6.91 tff(32982,plain,
% 8.93/6.91 (v161(constB135) <=> v163(constB135)),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32981, 357])).
% 8.93/6.91 tff(32983,plain,
% 8.93/6.91 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB135) <=> (v145(constB135) | v167(constB135)))),
% 8.93/6.91 inference(quant_inst,[status(thm)],[])).
% 8.93/6.91 tff(32984,plain,
% 8.93/6.91 (v166(constB135) <=> (v145(constB135) | v167(constB135))),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32983, 369])).
% 8.93/6.91 tff(32985,plain,
% 8.93/6.91 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB135) <=> (v142(constB135) | v168(constB135)))),
% 8.93/6.91 inference(quant_inst,[status(thm)],[])).
% 8.93/6.91 tff(32986,plain,
% 8.93/6.91 (v167(constB135) <=> (v142(constB135) | v168(constB135))),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32985, 381])).
% 8.93/6.91 tff(32987,plain,
% 8.93/6.91 ((v142(constB135) | v168(constB135)) | (~v142(constB135))),
% 8.93/6.91 inference(tautology,[status(thm)],[])).
% 8.93/6.91 tff(32988,plain,
% 8.93/6.91 (v142(constB135) | v168(constB135)),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32987, 26174])).
% 8.93/6.91 tff(32989,plain,
% 8.93/6.91 ((~(v167(constB135) <=> (v142(constB135) | v168(constB135)))) | v167(constB135) | (~(v142(constB135) | v168(constB135)))),
% 8.93/6.91 inference(tautology,[status(thm)],[])).
% 8.93/6.91 tff(32990,plain,
% 8.93/6.91 ((~(v167(constB135) <=> (v142(constB135) | v168(constB135)))) | v167(constB135)),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32989, 32988])).
% 8.93/6.91 tff(32991,plain,
% 8.93/6.91 (v167(constB135)),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32990, 32986])).
% 8.93/6.91 tff(32992,plain,
% 8.93/6.91 ((v145(constB135) | v167(constB135)) | (~v167(constB135))),
% 8.93/6.91 inference(tautology,[status(thm)],[])).
% 8.93/6.91 tff(32993,plain,
% 8.93/6.91 (v145(constB135) | v167(constB135)),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32992, 32991])).
% 8.93/6.91 tff(32994,plain,
% 8.93/6.91 ((~(v166(constB135) <=> (v145(constB135) | v167(constB135)))) | v166(constB135) | (~(v145(constB135) | v167(constB135)))),
% 8.93/6.91 inference(tautology,[status(thm)],[])).
% 8.93/6.91 tff(32995,plain,
% 8.93/6.91 (v166(constB135)),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32994, 32993, 32984])).
% 8.93/6.91 tff(32996,plain,
% 8.93/6.91 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB135)) | (v163(constB135) <=> v170(constB135)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB135)) | (v163(constB135) <=> v170(constB135)))),
% 8.93/6.91 inference(rewrite,[status(thm)],[])).
% 8.93/6.91 tff(32997,plain,
% 8.93/6.91 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB135)) | (v163(constB135) <=> v170(constB135)))),
% 8.93/6.91 inference(quant_inst,[status(thm)],[])).
% 8.93/6.91 tff(32998,plain,
% 8.93/6.91 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB135)) | (v163(constB135) <=> v170(constB135))),
% 8.93/6.91 inference(modus_ponens,[status(thm)],[32997, 32996])).
% 8.93/6.91 tff(32999,plain,
% 8.93/6.91 ((~v166(constB135)) | (v163(constB135) <=> v170(constB135))),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32998, 9851])).
% 8.93/6.91 tff(33000,plain,
% 8.93/6.91 (v163(constB135) <=> v170(constB135)),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[32999, 32995])).
% 8.93/6.91 tff(33001,plain,
% 8.93/6.91 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB135) <=> (v142(constB135) | v150(constB135)))),
% 8.93/6.91 inference(quant_inst,[status(thm)],[])).
% 8.93/6.91 tff(33002,plain,
% 8.93/6.91 (v171(constB135) <=> (v142(constB135) | v150(constB135))),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[33001, 9866])).
% 8.93/6.91 tff(33003,plain,
% 8.93/6.91 ((v142(constB135) | v150(constB135)) | (~v142(constB135))),
% 8.93/6.91 inference(tautology,[status(thm)],[])).
% 8.93/6.91 tff(33004,plain,
% 8.93/6.91 (v142(constB135) | v150(constB135)),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[33003, 26174])).
% 8.93/6.91 tff(33005,plain,
% 8.93/6.91 ((~(v171(constB135) <=> (v142(constB135) | v150(constB135)))) | v171(constB135) | (~(v142(constB135) | v150(constB135)))),
% 8.93/6.91 inference(tautology,[status(thm)],[])).
% 8.93/6.91 tff(33006,plain,
% 8.93/6.91 ((~(v171(constB135) <=> (v142(constB135) | v150(constB135)))) | v171(constB135)),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[33005, 33004])).
% 8.93/6.91 tff(33007,plain,
% 8.93/6.91 (v171(constB135)),
% 8.93/6.91 inference(unit_resolution,[status(thm)],[33006, 33002])).
% 8.93/6.91 tff(33008,plain,
% 8.93/6.91 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB135)) | (~v171(constB135)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB135)) | (~v171(constB135)))),
% 8.93/6.91 inference(rewrite,[status(thm)],[])).
% 8.93/6.91 tff(33009,plain,
% 8.93/6.91 (((~v171(constB135)) | (~v170(constB135))) <=> ((~v170(constB135)) | (~v171(constB135)))),
% 8.93/6.91 inference(rewrite,[status(thm)],[])).
% 8.93/6.91 tff(33010,plain,
% 8.93/6.91 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB135)) | (~v170(constB135)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB135)) | (~v171(constB135))))),
% 8.93/6.92 inference(monotonicity,[status(thm)],[33009])).
% 8.93/6.92 tff(33011,plain,
% 8.93/6.92 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB135)) | (~v170(constB135)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB135)) | (~v171(constB135)))),
% 8.93/6.92 inference(transitivity,[status(thm)],[33010, 33008])).
% 8.93/6.92 tff(33012,plain,
% 8.93/6.92 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB135)) | (~v170(constB135)))),
% 8.93/6.92 inference(quant_inst,[status(thm)],[])).
% 8.93/6.92 tff(33013,plain,
% 8.93/6.92 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB135)) | (~v171(constB135))),
% 8.93/6.92 inference(modus_ponens,[status(thm)],[33012, 33011])).
% 8.93/6.92 tff(33014,plain,
% 8.93/6.92 (~v170(constB135)),
% 8.93/6.92 inference(unit_resolution,[status(thm)],[33013, 9899, 33007])).
% 8.93/6.92 tff(33015,plain,
% 8.93/6.92 ((~(v163(constB135) <=> v170(constB135))) | (~v163(constB135)) | v170(constB135)),
% 8.93/6.92 inference(tautology,[status(thm)],[])).
% 8.93/6.92 tff(33016,plain,
% 8.93/6.92 (~v163(constB135)),
% 8.93/6.92 inference(unit_resolution,[status(thm)],[33015, 33014, 33000])).
% 8.93/6.92 tff(33017,plain,
% 8.93/6.92 ((~(v161(constB135) <=> v163(constB135))) | (~v161(constB135)) | v163(constB135)),
% 8.93/6.92 inference(tautology,[status(thm)],[])).
% 8.93/6.92 tff(33018,plain,
% 8.93/6.92 (~v161(constB135)),
% 8.93/6.92 inference(unit_resolution,[status(thm)],[33017, 33016, 32982])).
% 8.93/6.92 tff(33019,plain,
% 8.93/6.92 (((~v159(constB135)) | (~v161(constB135))) | v161(constB135)),
% 8.93/6.92 inference(tautology,[status(thm)],[])).
% 8.93/6.92 tff(33020,plain,
% 8.93/6.92 ((~v159(constB135)) | (~v161(constB135))),
% 8.93/6.92 inference(unit_resolution,[status(thm)],[33019, 33018])).
% 8.93/6.92 tff(33021,plain,
% 8.93/6.92 ((~(v201(constB135) <=> (~((~v159(constB135)) | (~v161(constB135)))))) | (~v201(constB135)) | (~((~v159(constB135)) | (~v161(constB135))))),
% 8.93/6.92 inference(tautology,[status(thm)],[])).
% 8.93/6.92 tff(33022,plain,
% 8.93/6.92 (~v201(constB135)),
% 8.93/6.92 inference(unit_resolution,[status(thm)],[33021, 33020, 32980])).
% 8.93/6.92 tff(33023,plain,
% 8.93/6.92 (((~v197(constB135)) | (~v201(constB135))) | v201(constB135)),
% 8.93/6.92 inference(tautology,[status(thm)],[])).
% 8.93/6.92 tff(33024,plain,
% 8.93/6.92 ((~v197(constB135)) | (~v201(constB135))),
% 8.93/6.92 inference(unit_resolution,[status(thm)],[33023, 33022])).
% 8.93/6.92 tff(33025,plain,
% 8.93/6.92 ((~(v200(constB135) <=> (~((~v197(constB135)) | (~v201(constB135)))))) | (~v200(constB135)) | (~((~v197(constB135)) | (~v201(constB135))))),
% 8.93/6.92 inference(tautology,[status(thm)],[])).
% 8.93/6.92 tff(33026,plain,
% 8.93/6.92 (~v200(constB135)),
% 8.93/6.92 inference(unit_resolution,[status(thm)],[33025, 33024, 32978])).
% 8.93/6.92 tff(33027,plain,
% 8.93/6.92 (((~v199(constB135)) | (~v200(constB135))) | v200(constB135)),
% 8.93/6.92 inference(tautology,[status(thm)],[])).
% 8.93/6.92 tff(33028,plain,
% 8.93/6.92 ((~v199(constB135)) | (~v200(constB135))),
% 8.93/6.92 inference(unit_resolution,[status(thm)],[33027, 33026])).
% 8.93/6.92 tff(33029,plain,
% 8.93/6.92 ((~(v198(constB135) <=> (~((~v199(constB135)) | (~v200(constB135)))))) | (~v198(constB135)) | (~((~v199(constB135)) | (~v200(constB135))))),
% 8.93/6.92 inference(tautology,[status(thm)],[])).
% 8.93/6.92 tff(33030,plain,
% 8.93/6.92 (~v198(constB135)),
% 8.93/6.92 inference(unit_resolution,[status(thm)],[33029, 33028, 32976])).
% 8.93/6.92 tff(33031,plain,
% 8.93/6.92 ((~(v194(constB135) | v198(constB135))) | v194(constB135) | v198(constB135)),
% 8.93/6.92 inference(tautology,[status(thm)],[])).
% 8.93/6.92 tff(33032,plain,
% 8.93/6.92 (~(v194(constB135) | v198(constB135))),
% 8.93/6.92 inference(unit_resolution,[status(thm)],[33031, 33030, 32974])).
% 8.93/6.92 tff(33033,plain,
% 8.93/6.92 ((~(v191(constB135) <=> (v194(constB135) | v198(constB135)))) | (~v191(constB135)) | (v194(constB135) | v198(constB135))),
% 8.93/6.92 inference(tautology,[status(thm)],[])).
% 8.93/6.92 tff(33034,plain,
% 8.93/6.92 (~v191(constB135)),
% 8.93/6.92 inference(unit_resolution,[status(thm)],[33033, 33032, 32901])).
% 8.93/6.92 tff(33035,plain,
% 8.93/6.92 ((~(v193(constB136) <=> v191(constB135))) | (~v193(constB136)) | v191(constB135)),
% 8.93/6.92 inference(tautology,[status(thm)],[])).
% 8.93/6.92 tff(33036,plain,
% 8.93/6.92 (~v193(constB136)),
% 8.93/6.92 inference(unit_resolution,[status(thm)],[33035, 33034, 32899])).
% 8.93/6.92 tff(33037,plain,
% 8.93/6.92 ((~(v157(constB136) <=> v193(constB136))) | (~v157(constB136)) | v193(constB136)),
% 8.93/6.92 inference(tautology,[status(thm)],[])).
% 8.93/6.92 tff(33038,plain,
% 8.93/6.92 (~v157(constB136)),
% 8.93/6.92 inference(unit_resolution,[status(thm)],[33037, 33036, 32895])).
% 8.93/6.92 tff(33039,plain,
% 8.93/6.92 (((~v157(constB136)) | (~v195(constB136))) | v157(constB136)),
% 8.93/6.92 inference(tautology,[status(thm)],[])).
% 8.93/6.92 tff(33040,plain,
% 8.93/6.92 ((~v157(constB136)) | (~v195(constB136))),
% 8.93/6.92 inference(unit_resolution,[status(thm)],[33039, 33038])).
% 8.93/6.92 tff(33041,plain,
% 8.93/6.92 ((~(v194(constB136) <=> (~((~v157(constB136)) | (~v195(constB136)))))) | (~v194(constB136)) | (~((~v157(constB136)) | (~v195(constB136))))),
% 8.93/6.92 inference(tautology,[status(thm)],[])).
% 8.93/6.92 tff(33042,plain,
% 8.93/6.92 (~v194(constB136)),
% 8.93/6.92 inference(unit_resolution,[status(thm)],[33041, 33040, 32893])).
% 8.93/6.92 tff(33043,plain,
% 8.93/6.92 ((~(v194(constB136) | v198(constB136))) | v194(constB136) | v198(constB136)),
% 8.93/6.92 inference(tautology,[status(thm)],[])).
% 8.93/6.92 tff(33044,plain,
% 8.93/6.92 (~(v194(constB136) | v198(constB136))),
% 8.93/6.92 inference(unit_resolution,[status(thm)],[33043, 33042, 32886])).
% 8.93/6.92 tff(33045,plain,
% 8.93/6.92 ((~(v191(constB136) <=> (v194(constB136) | v198(constB136)))) | (~v191(constB136)) | (v194(constB136) | v198(constB136))),
% 8.93/6.92 inference(tautology,[status(thm)],[])).
% 8.93/6.92 tff(33046,plain,
% 8.93/6.92 (~v191(constB136)),
% 8.93/6.92 inference(unit_resolution,[status(thm)],[33045, 33044, 32861])).
% 8.93/6.92 tff(33047,plain,
% 8.93/6.92 ((~(v193(constB137) <=> v191(constB136))) | (~v193(constB137)) | v191(constB136)),
% 8.93/6.92 inference(tautology,[status(thm)],[])).
% 8.93/6.92 tff(33048,plain,
% 8.93/6.92 (~v193(constB137)),
% 8.93/6.92 inference(unit_resolution,[status(thm)],[33047, 33046, 32859])).
% 8.93/6.92 tff(33049,plain,
% 8.93/6.92 ($false),
% 8.93/6.92 inference(unit_resolution,[status(thm)],[33048, 32855])).
% 8.93/6.92 tff(33050,plain,(~(constB137 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.93/6.92 tff(33051,assumption,(constB99 = VarCurr!0), introduced(assumption)).
% 8.93/6.92 tff(33052,plain,
% 8.93/6.92 (v86(constB99) <=> v86(VarCurr!0)),
% 8.93/6.92 inference(monotonicity,[status(thm)],[33051])).
% 8.93/6.92 tff(33053,plain,
% 8.93/6.92 (v86(VarCurr!0) <=> v86(constB99)),
% 8.93/6.92 inference(symmetry,[status(thm)],[33052])).
% 8.93/6.92 tff(33054,plain,
% 8.93/6.92 ((~v86(VarCurr!0)) <=> (~v86(constB99))),
% 8.93/6.92 inference(monotonicity,[status(thm)],[33053])).
% 8.93/6.92 tff(33055,plain,
% 8.93/6.92 (~v86(constB99)),
% 8.93/6.92 inference(modus_ponens,[status(thm)],[14736, 33054])).
% 8.93/6.92 tff(33056,plain,
% 8.93/6.92 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB99) <=> (v136(constB99) | v145(constB99)))),
% 8.93/6.92 inference(quant_inst,[status(thm)],[])).
% 8.93/6.92 tff(33057,plain,
% 8.93/6.92 (v135(constB99) <=> (v136(constB99) | v145(constB99))),
% 8.93/6.92 inference(unit_resolution,[status(thm)],[33056, 14744])).
% 8.93/6.92 tff(33058,plain,
% 8.93/6.92 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB99) <=> (v137(constB99) | v142(constB99)))),
% 8.93/6.92 inference(quant_inst,[status(thm)],[])).
% 8.93/6.92 tff(33059,plain,
% 8.93/6.92 (v136(constB99) <=> (v137(constB99) | v142(constB99))),
% 8.93/6.92 inference(unit_resolution,[status(thm)],[33058, 14753])).
% 8.93/6.92 tff(33060,plain,
% 8.93/6.92 ((v137(constB99) | v142(constB99)) | (~v142(constB99))),
% 8.93/6.92 inference(tautology,[status(thm)],[])).
% 8.93/6.92 tff(33061,plain,
% 8.93/6.92 (v137(constB99) | v142(constB99)),
% 8.93/6.92 inference(unit_resolution,[status(thm)],[33060, 27512])).
% 8.93/6.92 tff(33062,plain,
% 8.93/6.92 ((~(v136(constB99) <=> (v137(constB99) | v142(constB99)))) | v136(constB99) | (~(v137(constB99) | v142(constB99)))),
% 8.93/6.92 inference(tautology,[status(thm)],[])).
% 8.93/6.92 tff(33063,plain,
% 8.93/6.92 ((~(v136(constB99) <=> (v137(constB99) | v142(constB99)))) | v136(constB99)),
% 8.93/6.92 inference(unit_resolution,[status(thm)],[33062, 33061])).
% 8.93/6.92 tff(33064,plain,
% 8.93/6.92 (v136(constB99)),
% 8.93/6.92 inference(unit_resolution,[status(thm)],[33063, 33059])).
% 8.93/6.92 tff(33065,plain,
% 8.93/6.92 ((v136(constB99) | v145(constB99)) | (~v136(constB99))),
% 8.93/6.92 inference(tautology,[status(thm)],[])).
% 8.93/6.92 tff(33066,plain,
% 8.93/6.92 (v136(constB99) | v145(constB99)),
% 8.93/6.92 inference(unit_resolution,[status(thm)],[33065, 33064])).
% 8.93/6.92 tff(33067,plain,
% 8.93/6.92 ((~(v135(constB99) <=> (v136(constB99) | v145(constB99)))) | v135(constB99) | (~(v136(constB99) | v145(constB99)))),
% 8.93/6.92 inference(tautology,[status(thm)],[])).
% 8.93/6.92 tff(33068,plain,
% 8.93/6.92 (v135(constB99)),
% 8.93/6.92 inference(unit_resolution,[status(thm)],[33067, 33066, 33057])).
% 8.93/6.92 tff(33069,plain,
% 8.93/6.92 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB99)) | (v86(constB99) <=> v148(constB99)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB99)) | (v86(constB99) <=> v148(constB99)))),
% 8.93/6.92 inference(rewrite,[status(thm)],[])).
% 8.93/6.92 tff(33070,plain,
% 8.93/6.92 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB99)) | (v86(constB99) <=> v148(constB99)))),
% 8.93/6.92 inference(quant_inst,[status(thm)],[])).
% 8.93/6.92 tff(33071,plain,
% 8.93/6.92 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB99)) | (v86(constB99) <=> v148(constB99))),
% 8.93/6.92 inference(modus_ponens,[status(thm)],[33070, 33069])).
% 8.93/6.92 tff(33072,plain,
% 8.93/6.92 (v86(constB99) <=> v148(constB99)),
% 8.93/6.92 inference(unit_resolution,[status(thm)],[33071, 14818, 33068])).
% 8.93/6.92 tff(33073,plain,
% 8.93/6.92 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB99) | (~v142(constB99)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB99) | (~v142(constB99)))),
% 8.93/6.92 inference(rewrite,[status(thm)],[])).
% 8.93/6.92 tff(33074,plain,
% 8.93/6.92 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB99) | (~v142(constB99)))),
% 8.93/6.92 inference(quant_inst,[status(thm)],[])).
% 8.93/6.92 tff(33075,plain,
% 8.93/6.92 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB99) | (~v142(constB99))),
% 8.93/6.92 inference(modus_ponens,[status(thm)],[33074, 33073])).
% 8.93/6.92 tff(33076,plain,
% 8.93/6.92 (v148(constB99)),
% 8.93/6.92 inference(unit_resolution,[status(thm)],[33075, 14832, 27512])).
% 8.93/6.92 tff(33077,plain,
% 8.93/6.92 ((~(v86(constB99) <=> v148(constB99))) | v86(constB99) | (~v148(constB99))),
% 8.93/6.92 inference(tautology,[status(thm)],[])).
% 8.93/6.92 tff(33078,plain,
% 8.93/6.92 ((~(v86(constB99) <=> v148(constB99))) | v86(constB99)),
% 8.93/6.92 inference(unit_resolution,[status(thm)],[33077, 33076])).
% 8.93/6.92 tff(33079,plain,
% 8.93/6.92 (v86(constB99)),
% 8.93/6.92 inference(unit_resolution,[status(thm)],[33078, 33072])).
% 8.93/6.92 tff(33080,plain,
% 8.93/6.92 ($false),
% 8.93/6.92 inference(unit_resolution,[status(thm)],[33079, 33055])).
% 8.93/6.92 tff(33081,plain,(~(constB99 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.93/6.92 tff(33082,assumption,(constB57 = VarCurr!0), introduced(assumption)).
% 8.93/6.92 tff(33083,plain,
% 8.93/6.92 (v193(constB57) <=> v193(VarCurr!0)),
% 8.93/6.92 inference(monotonicity,[status(thm)],[33082])).
% 8.93/6.92 tff(33084,plain,
% 8.93/6.92 (v193(VarCurr!0) <=> v193(constB57)),
% 8.93/6.92 inference(symmetry,[status(thm)],[33083])).
% 8.93/6.92 tff(33085,plain,
% 8.93/6.92 (v193(constB57)),
% 8.93/6.92 inference(modus_ponens,[status(thm)],[59, 33084])).
% 8.93/6.92 tff(33086,plain,
% 8.93/6.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB56, constB57)) | (v193(constB57) <=> v191(constB56)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB56, constB57)) | (v193(constB57) <=> v191(constB56)))),
% 8.93/6.92 inference(rewrite,[status(thm)],[])).
% 8.93/6.92 tff(33087,plain,
% 8.93/6.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB56, constB57)) | (v193(constB57) <=> v191(constB56)))),
% 8.93/6.92 inference(quant_inst,[status(thm)],[])).
% 8.93/6.92 tff(33088,plain,
% 8.93/6.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB56, constB57)) | (v193(constB57) <=> v191(constB56))),
% 8.93/6.92 inference(modus_ponens,[status(thm)],[33087, 33086])).
% 8.93/6.92 tff(33089,plain,
% 8.93/6.92 (v193(constB57) <=> v191(constB56)),
% 8.93/6.92 inference(unit_resolution,[status(thm)],[33088, 1349, 70])).
% 8.93/6.92 tff(33090,plain,
% 8.93/6.92 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB56) <=> (v194(constB56) | v198(constB56)))),
% 8.93/6.92 inference(quant_inst,[status(thm)],[])).
% 8.93/6.92 tff(33091,plain,
% 8.93/6.92 (v191(constB56) <=> (v194(constB56) | v198(constB56))),
% 8.93/6.92 inference(unit_resolution,[status(thm)],[33090, 84])).
% 8.93/6.92 tff(33092,plain,
% 8.93/6.92 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB56) <=> (~((~v199(constB56)) | (~v200(constB56)))))),
% 8.93/6.92 inference(quant_inst,[status(thm)],[])).
% 8.93/6.92 tff(33093,plain,
% 8.93/6.92 (v198(constB56) <=> (~((~v199(constB56)) | (~v200(constB56))))),
% 8.93/6.92 inference(unit_resolution,[status(thm)],[33092, 96])).
% 8.93/6.92 tff(33094,plain,
% 8.93/6.92 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB56) <=> (~((~v197(constB56)) | (~v201(constB56)))))),
% 8.93/6.92 inference(quant_inst,[status(thm)],[])).
% 8.93/6.92 tff(33095,plain,
% 8.93/6.92 (v200(constB56) <=> (~((~v197(constB56)) | (~v201(constB56))))),
% 8.93/6.92 inference(unit_resolution,[status(thm)],[33094, 108])).
% 8.93/6.92 tff(33096,plain,
% 8.93/6.92 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB56) <=> (~((~v39(constB56)) | (~v9(constB56)))))),
% 8.93/6.92 inference(quant_inst,[status(thm)],[])).
% 8.93/6.92 tff(33097,plain,
% 8.93/6.92 (v197(constB56) <=> (~((~v39(constB56)) | (~v9(constB56))))),
% 8.93/6.92 inference(unit_resolution,[status(thm)],[33096, 120])).
% 8.93/6.92 tff(33098,plain,
% 8.93/6.92 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB56)) <=> v1(constB56))),
% 8.93/6.92 inference(quant_inst,[status(thm)],[])).
% 8.93/6.92 tff(33099,plain,
% 8.93/6.92 ((~v39(constB56)) <=> v1(constB56)),
% 8.93/6.92 inference(unit_resolution,[status(thm)],[33098, 129])).
% 8.93/6.92 tff(33100,plain,
% 8.93/6.92 ((~((~v39(constB56)) <=> v1(constB56))) | (~v39(constB56)) | (~v1(constB56))),
% 8.93/6.92 inference(tautology,[status(thm)],[])).
% 8.93/6.92 tff(33101,plain,
% 8.93/6.92 ((~((~v39(constB56)) <=> v1(constB56))) | (~v39(constB56))),
% 8.93/6.92 inference(unit_resolution,[status(thm)],[33100, 7807])).
% 8.93/6.92 tff(33102,plain,
% 8.93/6.92 (~v39(constB56)),
% 8.93/6.92 inference(unit_resolution,[status(thm)],[33101, 33099])).
% 8.93/6.92 tff(33103,plain,
% 8.93/6.92 (((~v39(constB56)) | (~v9(constB56))) | v39(constB56)),
% 8.93/6.92 inference(tautology,[status(thm)],[])).
% 8.93/6.92 tff(33104,plain,
% 8.93/6.92 ((~v39(constB56)) | (~v9(constB56))),
% 8.93/6.92 inference(unit_resolution,[status(thm)],[33103, 33102])).
% 8.93/6.92 tff(33105,plain,
% 8.93/6.92 ((~(v197(constB56) <=> (~((~v39(constB56)) | (~v9(constB56)))))) | (~v197(constB56)) | (~((~v39(constB56)) | (~v9(constB56))))),
% 8.93/6.92 inference(tautology,[status(thm)],[])).
% 8.93/6.92 tff(33106,plain,
% 8.93/6.92 ((~(v197(constB56) <=> (~((~v39(constB56)) | (~v9(constB56)))))) | (~v197(constB56))),
% 8.93/6.92 inference(unit_resolution,[status(thm)],[33105, 33104])).
% 8.93/6.92 tff(33107,plain,
% 8.93/6.92 (~v197(constB56)),
% 8.93/6.92 inference(unit_resolution,[status(thm)],[33106, 33097])).
% 8.93/6.92 tff(33108,plain,
% 8.93/6.92 (((~v197(constB56)) | (~v201(constB56))) | v197(constB56)),
% 8.93/6.92 inference(tautology,[status(thm)],[])).
% 8.93/6.92 tff(33109,plain,
% 8.93/6.92 ((~v197(constB56)) | (~v201(constB56))),
% 8.93/6.92 inference(unit_resolution,[status(thm)],[33108, 33107])).
% 8.93/6.92 tff(33110,plain,
% 8.93/6.92 ((~(v200(constB56) <=> (~((~v197(constB56)) | (~v201(constB56)))))) | (~v200(constB56)) | (~((~v197(constB56)) | (~v201(constB56))))),
% 8.93/6.92 inference(tautology,[status(thm)],[])).
% 8.93/6.92 tff(33111,plain,
% 8.93/6.92 ((~(v200(constB56) <=> (~((~v197(constB56)) | (~v201(constB56)))))) | (~v200(constB56))),
% 8.93/6.92 inference(unit_resolution,[status(thm)],[33110, 33109])).
% 8.93/6.92 tff(33112,plain,
% 8.93/6.92 (~v200(constB56)),
% 8.93/6.92 inference(unit_resolution,[status(thm)],[33111, 33095])).
% 8.93/6.92 tff(33113,plain,
% 8.93/6.92 (((~v199(constB56)) | (~v200(constB56))) | v200(constB56)),
% 8.93/6.92 inference(tautology,[status(thm)],[])).
% 8.93/6.92 tff(33114,plain,
% 8.93/6.92 ((~v199(constB56)) | (~v200(constB56))),
% 8.93/6.92 inference(unit_resolution,[status(thm)],[33113, 33112])).
% 8.93/6.92 tff(33115,plain,
% 8.93/6.92 ((~(v198(constB56) <=> (~((~v199(constB56)) | (~v200(constB56)))))) | (~v198(constB56)) | (~((~v199(constB56)) | (~v200(constB56))))),
% 8.93/6.92 inference(tautology,[status(thm)],[])).
% 8.93/6.92 tff(33116,plain,
% 8.93/6.92 (~v198(constB56)),
% 8.93/6.92 inference(unit_resolution,[status(thm)],[33115, 33114, 33093])).
% 8.93/6.92 tff(33117,plain,
% 8.93/6.92 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB56) <=> (~((~v157(constB56)) | (~v195(constB56)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB56) <=> (~((~v157(constB56)) | (~v195(constB56))))))),
% 8.93/6.92 inference(rewrite,[status(thm)],[])).
% 8.93/6.92 tff(33118,plain,
% 8.93/6.92 ((v194(constB56) <=> (~((~v195(constB56)) | (~v157(constB56))))) <=> (v194(constB56) <=> (~((~v157(constB56)) | (~v195(constB56)))))),
% 8.93/6.92 inference(rewrite,[status(thm)],[])).
% 8.93/6.92 tff(33119,plain,
% 8.93/6.92 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB56) <=> (~((~v195(constB56)) | (~v157(constB56)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB56) <=> (~((~v157(constB56)) | (~v195(constB56))))))),
% 8.93/6.92 inference(monotonicity,[status(thm)],[33118])).
% 8.93/6.92 tff(33120,plain,
% 8.93/6.92 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB56) <=> (~((~v195(constB56)) | (~v157(constB56)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB56) <=> (~((~v157(constB56)) | (~v195(constB56))))))),
% 8.93/6.92 inference(transitivity,[status(thm)],[33119, 33117])).
% 8.93/6.92 tff(33121,plain,
% 8.93/6.92 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB56) <=> (~((~v195(constB56)) | (~v157(constB56)))))),
% 8.93/6.92 inference(quant_inst,[status(thm)],[])).
% 8.93/6.92 tff(33122,plain,
% 8.93/6.92 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB56) <=> (~((~v157(constB56)) | (~v195(constB56)))))),
% 8.93/6.92 inference(modus_ponens,[status(thm)],[33121, 33120])).
% 8.93/6.92 tff(33123,plain,
% 8.93/6.92 (v194(constB56) <=> (~((~v157(constB56)) | (~v195(constB56))))),
% 8.93/6.92 inference(unit_resolution,[status(thm)],[33122, 161])).
% 8.93/6.92 tff(33124,plain,
% 8.93/6.92 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB56) <=> v193(constB56))),
% 8.93/6.92 inference(quant_inst,[status(thm)],[])).
% 8.93/6.92 tff(33125,plain,
% 8.93/6.92 (v157(constB56) <=> v193(constB56)),
% 8.93/6.92 inference(unit_resolution,[status(thm)],[33124, 13])).
% 8.93/6.92 tff(33126,plain,
% 8.93/6.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB55, constB56)) | (v193(constB56) <=> v191(constB55)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB55, constB56)) | (v193(constB56) <=> v191(constB55)))),
% 8.93/6.92 inference(rewrite,[status(thm)],[])).
% 8.93/6.92 tff(33127,plain,
% 8.93/6.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB55, constB56)) | (v193(constB56) <=> v191(constB55)))),
% 8.93/6.92 inference(quant_inst,[status(thm)],[])).
% 8.93/6.92 tff(33128,plain,
% 8.93/6.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB55, constB56)) | (v193(constB56) <=> v191(constB55))),
% 8.93/6.92 inference(modus_ponens,[status(thm)],[33127, 33126])).
% 8.93/6.92 tff(33129,plain,
% 8.93/6.92 (v193(constB56) <=> v191(constB55)),
% 8.93/6.92 inference(unit_resolution,[status(thm)],[33128, 1385, 70])).
% 8.93/6.92 tff(33130,plain,
% 8.93/6.92 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB55) <=> (v194(constB55) | v198(constB55)))),
% 8.93/6.92 inference(quant_inst,[status(thm)],[])).
% 8.93/6.92 tff(33131,plain,
% 8.93/6.92 (v191(constB55) <=> (v194(constB55) | v198(constB55))),
% 8.93/6.92 inference(unit_resolution,[status(thm)],[33130, 84])).
% 8.93/6.92 tff(33132,plain,
% 8.93/6.92 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB55) <=> (~((~v157(constB55)) | (~v195(constB55)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB55) <=> (~((~v157(constB55)) | (~v195(constB55))))))),
% 8.93/6.92 inference(rewrite,[status(thm)],[])).
% 8.93/6.92 tff(33133,plain,
% 8.93/6.92 ((v194(constB55) <=> (~((~v195(constB55)) | (~v157(constB55))))) <=> (v194(constB55) <=> (~((~v157(constB55)) | (~v195(constB55)))))),
% 8.93/6.92 inference(rewrite,[status(thm)],[])).
% 8.93/6.92 tff(33134,plain,
% 8.93/6.92 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB55) <=> (~((~v195(constB55)) | (~v157(constB55)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB55) <=> (~((~v157(constB55)) | (~v195(constB55))))))),
% 8.93/6.92 inference(monotonicity,[status(thm)],[33133])).
% 8.93/6.92 tff(33135,plain,
% 8.93/6.92 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB55) <=> (~((~v195(constB55)) | (~v157(constB55)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB55) <=> (~((~v157(constB55)) | (~v195(constB55))))))),
% 8.93/6.92 inference(transitivity,[status(thm)],[33134, 33132])).
% 8.93/6.92 tff(33136,plain,
% 8.93/6.92 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB55) <=> (~((~v195(constB55)) | (~v157(constB55)))))),
% 8.93/6.92 inference(quant_inst,[status(thm)],[])).
% 8.93/6.92 tff(33137,plain,
% 8.93/6.92 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB55) <=> (~((~v157(constB55)) | (~v195(constB55)))))),
% 8.93/6.92 inference(modus_ponens,[status(thm)],[33136, 33135])).
% 8.93/6.92 tff(33138,plain,
% 8.93/6.92 (v194(constB55) <=> (~((~v157(constB55)) | (~v195(constB55))))),
% 8.93/6.92 inference(unit_resolution,[status(thm)],[33137, 161])).
% 8.93/6.92 tff(33139,plain,
% 8.93/6.92 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB55)) <=> v196(constB55))),
% 8.93/6.92 inference(quant_inst,[status(thm)],[])).
% 8.93/6.92 tff(33140,plain,
% 8.93/6.92 ((~v195(constB55)) <=> v196(constB55)),
% 8.93/6.92 inference(unit_resolution,[status(thm)],[33139, 193])).
% 8.93/6.92 tff(33141,plain,
% 8.93/6.92 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB55) <=> (v197(constB55) | v26(constB55)))),
% 8.93/6.92 inference(quant_inst,[status(thm)],[])).
% 8.93/6.92 tff(33142,plain,
% 8.93/6.92 (v196(constB55) <=> (v197(constB55) | v26(constB55))),
% 8.93/6.92 inference(unit_resolution,[status(thm)],[33141, 202])).
% 8.93/6.92 tff(33143,plain,
% 8.93/6.92 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB55) <=> (~((~v39(constB55)) | (~v9(constB55)))))),
% 8.93/6.92 inference(quant_inst,[status(thm)],[])).
% 8.93/6.92 tff(33144,plain,
% 8.93/6.92 (v197(constB55) <=> (~((~v39(constB55)) | (~v9(constB55))))),
% 8.93/6.92 inference(unit_resolution,[status(thm)],[33143, 120])).
% 8.93/6.92 tff(33145,plain,
% 8.93/6.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB55, constB56)) | (v13(constB56) <=> v9(constB55)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB55, constB56)) | (v13(constB56) <=> v9(constB55)))),
% 8.93/6.92 inference(rewrite,[status(thm)],[])).
% 8.93/6.92 tff(33146,plain,
% 8.93/6.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB55, constB56)) | (v13(constB56) <=> v9(constB55)))),
% 8.93/6.92 inference(quant_inst,[status(thm)],[])).
% 8.93/6.92 tff(33147,plain,
% 8.93/6.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB55, constB56)) | (v13(constB56) <=> v9(constB55))),
% 8.93/6.92 inference(modus_ponens,[status(thm)],[33146, 33145])).
% 8.93/6.92 tff(33148,plain,
% 8.93/6.92 (v13(constB56) <=> v9(constB55)),
% 8.93/6.92 inference(unit_resolution,[status(thm)],[33147, 1385, 216])).
% 8.93/6.92 tff(33149,plain,
% 8.93/6.92 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB56) <=> v13(constB56))),
% 8.93/6.92 inference(quant_inst,[status(thm)],[])).
% 8.93/6.92 tff(33150,plain,
% 8.93/6.92 (v6(constB56) <=> v13(constB56)),
% 8.93/6.92 inference(unit_resolution,[status(thm)],[33149, 230])).
% 8.93/6.92 tff(33151,plain,
% 8.93/6.92 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB56)) <=> v6(constB56))),
% 8.93/6.92 inference(quant_inst,[status(thm)],[])).
% 8.93/6.92 tff(33152,plain,
% 8.93/6.92 ((~v21(constB56)) <=> v6(constB56)),
% 8.93/6.92 inference(unit_resolution,[status(thm)],[33151, 239])).
% 8.93/6.92 tff(33153,plain,
% 8.93/6.92 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB56) <=> (v20(constB56) | v21(constB56)))),
% 8.93/6.92 inference(quant_inst,[status(thm)],[])).
% 8.93/6.92 tff(33154,plain,
% 8.93/6.92 (v19(constB56) <=> (v20(constB56) | v21(constB56))),
% 8.93/6.92 inference(unit_resolution,[status(thm)],[33153, 248])).
% 8.93/6.92 tff(33155,plain,
% 8.93/6.92 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB56) <=> (~((~v19(constB56)) | (~v22(constB56)))))),
% 8.93/6.92 inference(quant_inst,[status(thm)],[])).
% 8.93/6.92 tff(33156,plain,
% 8.93/6.92 (v18(constB56) <=> (~((~v19(constB56)) | (~v22(constB56))))),
% 8.93/6.92 inference(unit_resolution,[status(thm)],[33155, 260])).
% 8.93/6.92 tff(33157,plain,
% 8.93/6.92 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB56)) <=> v18(constB56))),
% 8.93/6.92 inference(quant_inst,[status(thm)],[])).
% 8.93/6.92 tff(33158,plain,
% 8.93/6.92 ((~v4(constB56)) <=> v18(constB56)),
% 8.93/6.92 inference(unit_resolution,[status(thm)],[33157, 269])).
% 8.93/6.92 tff(33159,plain,
% 8.93/6.92 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB56)),
% 8.93/6.92 inference(quant_inst,[status(thm)],[])).
% 8.93/6.92 tff(33160,plain,
% 8.93/6.92 (v4(constB56)),
% 8.93/6.92 inference(unit_resolution,[status(thm)],[33159, 278])).
% 8.93/6.92 tff(33161,plain,
% 8.93/6.92 ((~((~v4(constB56)) <=> v18(constB56))) | (~v4(constB56)) | (~v18(constB56))),
% 8.93/6.92 inference(tautology,[status(thm)],[])).
% 8.93/6.92 tff(33162,plain,
% 8.93/6.92 (~v18(constB56)),
% 8.93/6.92 inference(unit_resolution,[status(thm)],[33161, 33160, 33158])).
% 8.93/6.92 tff(33163,plain,
% 8.93/6.92 ((~(v18(constB56) <=> (~((~v19(constB56)) | (~v22(constB56)))))) | v18(constB56) | ((~v19(constB56)) | (~v22(constB56)))),
% 8.93/6.92 inference(tautology,[status(thm)],[])).
% 8.93/6.92 tff(33164,plain,
% 8.93/6.92 ((~v19(constB56)) | (~v22(constB56))),
% 8.93/6.92 inference(unit_resolution,[status(thm)],[33163, 33162, 33156])).
% 8.93/6.92 tff(33165,plain,
% 8.93/6.92 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB56) <=> (v1(constB56) | v6(constB56)))),
% 8.93/6.92 inference(quant_inst,[status(thm)],[])).
% 8.93/6.92 tff(33166,plain,
% 8.93/6.92 (v22(constB56) <=> (v1(constB56) | v6(constB56))),
% 8.93/6.92 inference(unit_resolution,[status(thm)],[33165, 291])).
% 8.93/6.92 tff(33167,plain,
% 8.93/6.92 ((v1(constB56) | v6(constB56)) | (~v1(constB56))),
% 8.93/6.92 inference(tautology,[status(thm)],[])).
% 8.93/6.92 tff(33168,plain,
% 8.93/6.92 (v1(constB56) | v6(constB56)),
% 8.93/6.92 inference(unit_resolution,[status(thm)],[33167, 7807])).
% 8.93/6.92 tff(33169,plain,
% 8.93/6.92 ((~(v22(constB56) <=> (v1(constB56) | v6(constB56)))) | v22(constB56) | (~(v1(constB56) | v6(constB56)))),
% 8.93/6.92 inference(tautology,[status(thm)],[])).
% 8.93/6.92 tff(33170,plain,
% 8.93/6.92 ((~(v22(constB56) <=> (v1(constB56) | v6(constB56)))) | v22(constB56)),
% 8.93/6.92 inference(unit_resolution,[status(thm)],[33169, 33168])).
% 8.93/6.92 tff(33171,plain,
% 8.93/6.92 (v22(constB56)),
% 8.93/6.92 inference(unit_resolution,[status(thm)],[33170, 33166])).
% 8.93/6.92 tff(33172,plain,
% 8.93/6.92 ((~((~v19(constB56)) | (~v22(constB56)))) | (~v19(constB56)) | (~v22(constB56))),
% 8.93/6.92 inference(tautology,[status(thm)],[])).
% 8.93/6.92 tff(33173,plain,
% 8.93/6.92 ((~((~v19(constB56)) | (~v22(constB56)))) | (~v19(constB56))),
% 8.93/6.92 inference(unit_resolution,[status(thm)],[33172, 33171])).
% 8.93/6.92 tff(33174,plain,
% 8.93/6.92 (~v19(constB56)),
% 8.93/6.92 inference(unit_resolution,[status(thm)],[33173, 33164])).
% 8.93/6.92 tff(33175,plain,
% 8.93/6.92 ((~(v19(constB56) <=> (v20(constB56) | v21(constB56)))) | v19(constB56) | (~(v20(constB56) | v21(constB56)))),
% 8.93/6.92 inference(tautology,[status(thm)],[])).
% 8.93/6.92 tff(33176,plain,
% 8.93/6.92 (~(v20(constB56) | v21(constB56))),
% 8.93/6.92 inference(unit_resolution,[status(thm)],[33175, 33174, 33154])).
% 8.93/6.92 tff(33177,plain,
% 8.93/6.92 ((v20(constB56) | v21(constB56)) | (~v21(constB56))),
% 8.93/6.92 inference(tautology,[status(thm)],[])).
% 8.93/6.92 tff(33178,plain,
% 8.93/6.92 (~v21(constB56)),
% 8.93/6.92 inference(unit_resolution,[status(thm)],[33177, 33176])).
% 8.93/6.92 tff(33179,plain,
% 8.93/6.92 ((~((~v21(constB56)) <=> v6(constB56))) | v21(constB56) | v6(constB56)),
% 8.93/6.92 inference(tautology,[status(thm)],[])).
% 8.93/6.92 tff(33180,plain,
% 8.93/6.92 (v6(constB56)),
% 8.93/6.92 inference(unit_resolution,[status(thm)],[33179, 33178, 33152])).
% 8.93/6.92 tff(33181,plain,
% 8.93/6.92 ((~(v6(constB56) <=> v13(constB56))) | (~v6(constB56)) | v13(constB56)),
% 8.93/6.92 inference(tautology,[status(thm)],[])).
% 8.93/6.92 tff(33182,plain,
% 8.93/6.92 (v13(constB56)),
% 8.93/6.92 inference(unit_resolution,[status(thm)],[33181, 33180, 33150])).
% 8.93/6.92 tff(33183,plain,
% 8.93/6.92 ((~(v13(constB56) <=> v9(constB55))) | (~v13(constB56)) | v9(constB55)),
% 8.93/6.92 inference(tautology,[status(thm)],[])).
% 8.93/6.92 tff(33184,plain,
% 8.93/6.92 (v9(constB55)),
% 8.93/6.92 inference(unit_resolution,[status(thm)],[33183, 33182, 33148])).
% 8.93/6.92 tff(33185,plain,
% 8.93/6.92 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB55)) <=> v1(constB55))),
% 8.93/6.92 inference(quant_inst,[status(thm)],[])).
% 8.93/6.92 tff(33186,plain,
% 8.93/6.92 ((~v39(constB55)) <=> v1(constB55)),
% 8.93/6.92 inference(unit_resolution,[status(thm)],[33185, 129])).
% 8.93/6.92 tff(33187,plain,
% 8.93/6.92 ((~((~v39(constB55)) <=> v1(constB55))) | v39(constB55) | v1(constB55)),
% 8.93/6.92 inference(tautology,[status(thm)],[])).
% 8.93/6.92 tff(33188,plain,
% 9.01/6.92 ((~((~v39(constB55)) <=> v1(constB55))) | v39(constB55)),
% 9.01/6.92 inference(unit_resolution,[status(thm)],[33187, 1424])).
% 9.01/6.92 tff(33189,plain,
% 9.01/6.92 (v39(constB55)),
% 9.01/6.92 inference(unit_resolution,[status(thm)],[33188, 33186])).
% 9.01/6.92 tff(33190,plain,
% 9.01/6.92 ((~((~v39(constB55)) | (~v9(constB55)))) | (~v39(constB55)) | (~v9(constB55))),
% 9.01/6.92 inference(tautology,[status(thm)],[])).
% 9.01/6.92 tff(33191,plain,
% 9.01/6.92 ((~((~v39(constB55)) | (~v9(constB55)))) | (~v9(constB55))),
% 9.01/6.92 inference(unit_resolution,[status(thm)],[33190, 33189])).
% 9.01/6.92 tff(33192,plain,
% 9.01/6.92 (~((~v39(constB55)) | (~v9(constB55)))),
% 9.01/6.92 inference(unit_resolution,[status(thm)],[33191, 33184])).
% 9.01/6.92 tff(33193,plain,
% 9.01/6.92 ((~(v197(constB55) <=> (~((~v39(constB55)) | (~v9(constB55)))))) | v197(constB55) | ((~v39(constB55)) | (~v9(constB55)))),
% 9.01/6.92 inference(tautology,[status(thm)],[])).
% 9.01/6.92 tff(33194,plain,
% 9.01/6.92 (v197(constB55)),
% 9.01/6.92 inference(unit_resolution,[status(thm)],[33193, 33192, 33144])).
% 9.01/6.92 tff(33195,plain,
% 9.01/6.92 ((v197(constB55) | v26(constB55)) | (~v197(constB55))),
% 9.01/6.92 inference(tautology,[status(thm)],[])).
% 9.01/6.92 tff(33196,plain,
% 9.01/6.92 (v197(constB55) | v26(constB55)),
% 9.01/6.92 inference(unit_resolution,[status(thm)],[33195, 33194])).
% 9.01/6.92 tff(33197,plain,
% 9.01/6.92 ((~(v196(constB55) <=> (v197(constB55) | v26(constB55)))) | v196(constB55) | (~(v197(constB55) | v26(constB55)))),
% 9.01/6.92 inference(tautology,[status(thm)],[])).
% 9.01/6.92 tff(33198,plain,
% 9.01/6.92 (v196(constB55)),
% 9.01/6.92 inference(unit_resolution,[status(thm)],[33197, 33196, 33142])).
% 9.01/6.92 tff(33199,plain,
% 9.01/6.92 ((~((~v195(constB55)) <=> v196(constB55))) | (~v195(constB55)) | (~v196(constB55))),
% 9.01/6.92 inference(tautology,[status(thm)],[])).
% 9.01/6.92 tff(33200,plain,
% 9.01/6.92 (~v195(constB55)),
% 9.01/6.92 inference(unit_resolution,[status(thm)],[33199, 33198, 33140])).
% 9.01/6.92 tff(33201,plain,
% 9.01/6.92 (((~v157(constB55)) | (~v195(constB55))) | v195(constB55)),
% 9.01/6.92 inference(tautology,[status(thm)],[])).
% 9.01/6.92 tff(33202,plain,
% 9.01/6.92 ((~v157(constB55)) | (~v195(constB55))),
% 9.01/6.92 inference(unit_resolution,[status(thm)],[33201, 33200])).
% 9.01/6.92 tff(33203,plain,
% 9.01/6.92 ((~(v194(constB55) <=> (~((~v157(constB55)) | (~v195(constB55)))))) | (~v194(constB55)) | (~((~v157(constB55)) | (~v195(constB55))))),
% 9.01/6.92 inference(tautology,[status(thm)],[])).
% 9.01/6.92 tff(33204,plain,
% 9.01/6.92 (~v194(constB55)),
% 9.01/6.92 inference(unit_resolution,[status(thm)],[33203, 33202, 33138])).
% 9.01/6.92 tff(33205,plain,
% 9.01/6.92 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB55) <=> (~((~v199(constB55)) | (~v200(constB55)))))),
% 9.01/6.92 inference(quant_inst,[status(thm)],[])).
% 9.01/6.92 tff(33206,plain,
% 9.01/6.92 (v198(constB55) <=> (~((~v199(constB55)) | (~v200(constB55))))),
% 9.01/6.92 inference(unit_resolution,[status(thm)],[33205, 96])).
% 9.01/6.92 tff(33207,plain,
% 9.01/6.92 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB55) <=> (~((~v197(constB55)) | (~v201(constB55)))))),
% 9.01/6.92 inference(quant_inst,[status(thm)],[])).
% 9.01/6.92 tff(33208,plain,
% 9.01/6.92 (v200(constB55) <=> (~((~v197(constB55)) | (~v201(constB55))))),
% 9.01/6.92 inference(unit_resolution,[status(thm)],[33207, 108])).
% 9.01/6.92 tff(33209,plain,
% 9.01/6.92 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB55) <=> (~((~v159(constB55)) | (~v161(constB55)))))),
% 9.01/6.92 inference(quant_inst,[status(thm)],[])).
% 9.01/6.92 tff(33210,plain,
% 9.01/6.92 (v201(constB55) <=> (~((~v159(constB55)) | (~v161(constB55))))),
% 9.01/6.92 inference(unit_resolution,[status(thm)],[33209, 348])).
% 9.01/6.92 tff(33211,plain,
% 9.01/6.92 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB55) <=> v163(constB55))),
% 9.01/6.92 inference(quant_inst,[status(thm)],[])).
% 9.01/6.92 tff(33212,plain,
% 9.01/6.92 (v161(constB55) <=> v163(constB55)),
% 9.01/6.92 inference(unit_resolution,[status(thm)],[33211, 357])).
% 9.01/6.92 tff(33213,plain,
% 9.01/6.92 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB55) <=> (v145(constB55) | v167(constB55)))),
% 9.01/6.92 inference(quant_inst,[status(thm)],[])).
% 9.01/6.92 tff(33214,plain,
% 9.01/6.92 (v166(constB55) <=> (v145(constB55) | v167(constB55))),
% 9.01/6.92 inference(unit_resolution,[status(thm)],[33213, 369])).
% 9.01/6.92 tff(33215,plain,
% 9.01/6.92 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB55) <=> (v142(constB55) | v168(constB55)))),
% 9.01/6.92 inference(quant_inst,[status(thm)],[])).
% 9.01/6.92 tff(33216,plain,
% 9.01/6.92 (v167(constB55) <=> (v142(constB55) | v168(constB55))),
% 9.01/6.92 inference(unit_resolution,[status(thm)],[33215, 381])).
% 9.01/6.92 tff(33217,plain,
% 9.01/6.92 ((v142(constB55) | v168(constB55)) | (~v142(constB55))),
% 9.01/6.92 inference(tautology,[status(thm)],[])).
% 9.01/6.92 tff(33218,plain,
% 9.01/6.92 (v142(constB55) | v168(constB55)),
% 9.01/6.92 inference(unit_resolution,[status(thm)],[33217, 25124])).
% 9.01/6.92 tff(33219,plain,
% 9.01/6.92 ((~(v167(constB55) <=> (v142(constB55) | v168(constB55)))) | v167(constB55) | (~(v142(constB55) | v168(constB55)))),
% 9.01/6.92 inference(tautology,[status(thm)],[])).
% 9.01/6.92 tff(33220,plain,
% 9.01/6.92 ((~(v167(constB55) <=> (v142(constB55) | v168(constB55)))) | v167(constB55)),
% 9.01/6.92 inference(unit_resolution,[status(thm)],[33219, 33218])).
% 9.01/6.92 tff(33221,plain,
% 9.01/6.92 (v167(constB55)),
% 9.01/6.92 inference(unit_resolution,[status(thm)],[33220, 33216])).
% 9.01/6.92 tff(33222,plain,
% 9.01/6.92 ((v145(constB55) | v167(constB55)) | (~v167(constB55))),
% 9.01/6.92 inference(tautology,[status(thm)],[])).
% 9.01/6.92 tff(33223,plain,
% 9.01/6.92 (v145(constB55) | v167(constB55)),
% 9.01/6.92 inference(unit_resolution,[status(thm)],[33222, 33221])).
% 9.01/6.92 tff(33224,plain,
% 9.01/6.92 ((~(v166(constB55) <=> (v145(constB55) | v167(constB55)))) | v166(constB55) | (~(v145(constB55) | v167(constB55)))),
% 9.01/6.92 inference(tautology,[status(thm)],[])).
% 9.01/6.92 tff(33225,plain,
% 9.01/6.92 (v166(constB55)),
% 9.01/6.92 inference(unit_resolution,[status(thm)],[33224, 33223, 33214])).
% 9.01/6.92 tff(33226,plain,
% 9.01/6.92 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB55)) | (v163(constB55) <=> v170(constB55)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB55)) | (v163(constB55) <=> v170(constB55)))),
% 9.01/6.92 inference(rewrite,[status(thm)],[])).
% 9.01/6.92 tff(33227,plain,
% 9.01/6.92 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB55)) | (v163(constB55) <=> v170(constB55)))),
% 9.01/6.92 inference(quant_inst,[status(thm)],[])).
% 9.01/6.92 tff(33228,plain,
% 9.01/6.92 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB55)) | (v163(constB55) <=> v170(constB55))),
% 9.01/6.92 inference(modus_ponens,[status(thm)],[33227, 33226])).
% 9.01/6.92 tff(33229,plain,
% 9.01/6.92 ((~v166(constB55)) | (v163(constB55) <=> v170(constB55))),
% 9.01/6.92 inference(unit_resolution,[status(thm)],[33228, 9851])).
% 9.01/6.92 tff(33230,plain,
% 9.01/6.92 (v163(constB55) <=> v170(constB55)),
% 9.01/6.92 inference(unit_resolution,[status(thm)],[33229, 33225])).
% 9.01/6.92 tff(33231,plain,
% 9.01/6.92 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB55) <=> (v142(constB55) | v150(constB55)))),
% 9.01/6.92 inference(quant_inst,[status(thm)],[])).
% 9.01/6.92 tff(33232,plain,
% 9.01/6.92 (v171(constB55) <=> (v142(constB55) | v150(constB55))),
% 9.01/6.92 inference(unit_resolution,[status(thm)],[33231, 9866])).
% 9.01/6.92 tff(33233,plain,
% 9.01/6.92 ((v142(constB55) | v150(constB55)) | (~v142(constB55))),
% 9.01/6.92 inference(tautology,[status(thm)],[])).
% 9.01/6.92 tff(33234,plain,
% 9.01/6.92 (v142(constB55) | v150(constB55)),
% 9.01/6.92 inference(unit_resolution,[status(thm)],[33233, 25124])).
% 9.01/6.92 tff(33235,plain,
% 9.01/6.92 ((~(v171(constB55) <=> (v142(constB55) | v150(constB55)))) | v171(constB55) | (~(v142(constB55) | v150(constB55)))),
% 9.01/6.92 inference(tautology,[status(thm)],[])).
% 9.01/6.92 tff(33236,plain,
% 9.01/6.92 ((~(v171(constB55) <=> (v142(constB55) | v150(constB55)))) | v171(constB55)),
% 9.01/6.92 inference(unit_resolution,[status(thm)],[33235, 33234])).
% 9.01/6.92 tff(33237,plain,
% 9.01/6.92 (v171(constB55)),
% 9.01/6.92 inference(unit_resolution,[status(thm)],[33236, 33232])).
% 9.01/6.92 tff(33238,plain,
% 9.01/6.92 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB55)) | (~v171(constB55)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB55)) | (~v171(constB55)))),
% 9.01/6.92 inference(rewrite,[status(thm)],[])).
% 9.01/6.92 tff(33239,plain,
% 9.01/6.92 (((~v171(constB55)) | (~v170(constB55))) <=> ((~v170(constB55)) | (~v171(constB55)))),
% 9.01/6.92 inference(rewrite,[status(thm)],[])).
% 9.01/6.92 tff(33240,plain,
% 9.01/6.92 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB55)) | (~v170(constB55)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB55)) | (~v171(constB55))))),
% 9.01/6.92 inference(monotonicity,[status(thm)],[33239])).
% 9.01/6.92 tff(33241,plain,
% 9.01/6.92 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB55)) | (~v170(constB55)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB55)) | (~v171(constB55)))),
% 9.01/6.92 inference(transitivity,[status(thm)],[33240, 33238])).
% 9.01/6.92 tff(33242,plain,
% 9.01/6.92 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB55)) | (~v170(constB55)))),
% 9.01/6.92 inference(quant_inst,[status(thm)],[])).
% 9.01/6.92 tff(33243,plain,
% 9.01/6.92 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB55)) | (~v171(constB55))),
% 9.01/6.92 inference(modus_ponens,[status(thm)],[33242, 33241])).
% 9.01/6.92 tff(33244,plain,
% 9.01/6.92 (~v170(constB55)),
% 9.01/6.92 inference(unit_resolution,[status(thm)],[33243, 9899, 33237])).
% 9.01/6.92 tff(33245,plain,
% 9.01/6.92 ((~(v163(constB55) <=> v170(constB55))) | (~v163(constB55)) | v170(constB55)),
% 9.01/6.92 inference(tautology,[status(thm)],[])).
% 9.01/6.92 tff(33246,plain,
% 9.01/6.92 (~v163(constB55)),
% 9.01/6.92 inference(unit_resolution,[status(thm)],[33245, 33244, 33230])).
% 9.01/6.92 tff(33247,plain,
% 9.01/6.92 ((~(v161(constB55) <=> v163(constB55))) | (~v161(constB55)) | v163(constB55)),
% 9.01/6.92 inference(tautology,[status(thm)],[])).
% 9.01/6.92 tff(33248,plain,
% 9.01/6.92 (~v161(constB55)),
% 9.01/6.92 inference(unit_resolution,[status(thm)],[33247, 33246, 33212])).
% 9.01/6.92 tff(33249,plain,
% 9.01/6.92 (((~v159(constB55)) | (~v161(constB55))) | v161(constB55)),
% 9.01/6.92 inference(tautology,[status(thm)],[])).
% 9.01/6.92 tff(33250,plain,
% 9.01/6.92 ((~v159(constB55)) | (~v161(constB55))),
% 9.01/6.92 inference(unit_resolution,[status(thm)],[33249, 33248])).
% 9.01/6.92 tff(33251,plain,
% 9.01/6.92 ((~(v201(constB55) <=> (~((~v159(constB55)) | (~v161(constB55)))))) | (~v201(constB55)) | (~((~v159(constB55)) | (~v161(constB55))))),
% 9.01/6.92 inference(tautology,[status(thm)],[])).
% 9.01/6.92 tff(33252,plain,
% 9.01/6.92 (~v201(constB55)),
% 9.01/6.92 inference(unit_resolution,[status(thm)],[33251, 33250, 33210])).
% 9.01/6.92 tff(33253,plain,
% 9.01/6.92 (((~v197(constB55)) | (~v201(constB55))) | v201(constB55)),
% 9.01/6.92 inference(tautology,[status(thm)],[])).
% 9.01/6.92 tff(33254,plain,
% 9.01/6.92 ((~v197(constB55)) | (~v201(constB55))),
% 9.01/6.92 inference(unit_resolution,[status(thm)],[33253, 33252])).
% 9.01/6.92 tff(33255,plain,
% 9.01/6.92 ((~(v200(constB55) <=> (~((~v197(constB55)) | (~v201(constB55)))))) | (~v200(constB55)) | (~((~v197(constB55)) | (~v201(constB55))))),
% 9.01/6.92 inference(tautology,[status(thm)],[])).
% 9.01/6.92 tff(33256,plain,
% 9.01/6.92 (~v200(constB55)),
% 9.01/6.92 inference(unit_resolution,[status(thm)],[33255, 33254, 33208])).
% 9.01/6.92 tff(33257,plain,
% 9.01/6.92 (((~v199(constB55)) | (~v200(constB55))) | v200(constB55)),
% 9.01/6.92 inference(tautology,[status(thm)],[])).
% 9.01/6.92 tff(33258,plain,
% 9.01/6.92 ((~v199(constB55)) | (~v200(constB55))),
% 9.01/6.92 inference(unit_resolution,[status(thm)],[33257, 33256])).
% 9.01/6.92 tff(33259,plain,
% 9.01/6.92 ((~(v198(constB55) <=> (~((~v199(constB55)) | (~v200(constB55)))))) | (~v198(constB55)) | (~((~v199(constB55)) | (~v200(constB55))))),
% 9.01/6.92 inference(tautology,[status(thm)],[])).
% 9.01/6.92 tff(33260,plain,
% 9.01/6.92 (~v198(constB55)),
% 9.01/6.92 inference(unit_resolution,[status(thm)],[33259, 33258, 33206])).
% 9.01/6.92 tff(33261,plain,
% 9.01/6.92 ((~(v194(constB55) | v198(constB55))) | v194(constB55) | v198(constB55)),
% 9.01/6.92 inference(tautology,[status(thm)],[])).
% 9.01/6.92 tff(33262,plain,
% 9.01/6.92 (~(v194(constB55) | v198(constB55))),
% 9.01/6.92 inference(unit_resolution,[status(thm)],[33261, 33260, 33204])).
% 9.01/6.92 tff(33263,plain,
% 9.01/6.92 ((~(v191(constB55) <=> (v194(constB55) | v198(constB55)))) | (~v191(constB55)) | (v194(constB55) | v198(constB55))),
% 9.01/6.92 inference(tautology,[status(thm)],[])).
% 9.01/6.92 tff(33264,plain,
% 9.01/6.92 (~v191(constB55)),
% 9.01/6.92 inference(unit_resolution,[status(thm)],[33263, 33262, 33131])).
% 9.01/6.92 tff(33265,plain,
% 9.01/6.92 ((~(v193(constB56) <=> v191(constB55))) | (~v193(constB56)) | v191(constB55)),
% 9.01/6.92 inference(tautology,[status(thm)],[])).
% 9.01/6.92 tff(33266,plain,
% 9.01/6.92 (~v193(constB56)),
% 9.01/6.92 inference(unit_resolution,[status(thm)],[33265, 33264, 33129])).
% 9.01/6.92 tff(33267,plain,
% 9.01/6.92 ((~(v157(constB56) <=> v193(constB56))) | (~v157(constB56)) | v193(constB56)),
% 9.01/6.92 inference(tautology,[status(thm)],[])).
% 9.01/6.92 tff(33268,plain,
% 9.01/6.92 (~v157(constB56)),
% 9.01/6.92 inference(unit_resolution,[status(thm)],[33267, 33266, 33125])).
% 9.01/6.92 tff(33269,plain,
% 9.01/6.92 (((~v157(constB56)) | (~v195(constB56))) | v157(constB56)),
% 9.01/6.92 inference(tautology,[status(thm)],[])).
% 9.01/6.92 tff(33270,plain,
% 9.01/6.92 ((~v157(constB56)) | (~v195(constB56))),
% 9.01/6.92 inference(unit_resolution,[status(thm)],[33269, 33268])).
% 9.01/6.92 tff(33271,plain,
% 9.01/6.92 ((~(v194(constB56) <=> (~((~v157(constB56)) | (~v195(constB56)))))) | (~v194(constB56)) | (~((~v157(constB56)) | (~v195(constB56))))),
% 9.01/6.92 inference(tautology,[status(thm)],[])).
% 9.01/6.92 tff(33272,plain,
% 9.01/6.92 (~v194(constB56)),
% 9.01/6.92 inference(unit_resolution,[status(thm)],[33271, 33270, 33123])).
% 9.01/6.92 tff(33273,plain,
% 9.01/6.92 ((~(v194(constB56) | v198(constB56))) | v194(constB56) | v198(constB56)),
% 9.01/6.92 inference(tautology,[status(thm)],[])).
% 9.01/6.92 tff(33274,plain,
% 9.01/6.92 (~(v194(constB56) | v198(constB56))),
% 9.01/6.92 inference(unit_resolution,[status(thm)],[33273, 33272, 33116])).
% 9.01/6.92 tff(33275,plain,
% 9.01/6.92 ((~(v191(constB56) <=> (v194(constB56) | v198(constB56)))) | (~v191(constB56)) | (v194(constB56) | v198(constB56))),
% 9.01/6.92 inference(tautology,[status(thm)],[])).
% 9.01/6.92 tff(33276,plain,
% 9.01/6.92 (~v191(constB56)),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33275, 33274, 33091])).
% 9.01/6.93 tff(33277,plain,
% 9.01/6.93 ((~(v193(constB57) <=> v191(constB56))) | (~v193(constB57)) | v191(constB56)),
% 9.01/6.93 inference(tautology,[status(thm)],[])).
% 9.01/6.93 tff(33278,plain,
% 9.01/6.93 (~v193(constB57)),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33277, 33276, 33089])).
% 9.01/6.93 tff(33279,plain,
% 9.01/6.93 ($false),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33278, 33085])).
% 9.01/6.93 tff(33280,plain,(~(constB57 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.01/6.93 tff(33281,assumption,(constB109 = VarCurr!0), introduced(assumption)).
% 9.01/6.93 tff(33282,plain,
% 9.01/6.93 (v86(constB109) <=> v86(VarCurr!0)),
% 9.01/6.93 inference(monotonicity,[status(thm)],[33281])).
% 9.01/6.93 tff(33283,plain,
% 9.01/6.93 (v86(VarCurr!0) <=> v86(constB109)),
% 9.01/6.93 inference(symmetry,[status(thm)],[33282])).
% 9.01/6.93 tff(33284,plain,
% 9.01/6.93 ((~v86(VarCurr!0)) <=> (~v86(constB109))),
% 9.01/6.93 inference(monotonicity,[status(thm)],[33283])).
% 9.01/6.93 tff(33285,plain,
% 9.01/6.93 (~v86(constB109)),
% 9.01/6.93 inference(modus_ponens,[status(thm)],[14736, 33284])).
% 9.01/6.93 tff(33286,plain,
% 9.01/6.93 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB109) <=> (v136(constB109) | v145(constB109)))),
% 9.01/6.93 inference(quant_inst,[status(thm)],[])).
% 9.01/6.93 tff(33287,plain,
% 9.01/6.93 (v135(constB109) <=> (v136(constB109) | v145(constB109))),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33286, 14744])).
% 9.01/6.93 tff(33288,plain,
% 9.01/6.93 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB109) <=> (v137(constB109) | v142(constB109)))),
% 9.01/6.93 inference(quant_inst,[status(thm)],[])).
% 9.01/6.93 tff(33289,plain,
% 9.01/6.93 (v136(constB109) <=> (v137(constB109) | v142(constB109))),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33288, 14753])).
% 9.01/6.93 tff(33290,plain,
% 9.01/6.93 ((v137(constB109) | v142(constB109)) | (~v142(constB109))),
% 9.01/6.93 inference(tautology,[status(thm)],[])).
% 9.01/6.93 tff(33291,plain,
% 9.01/6.93 (v137(constB109) | v142(constB109)),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33290, 28270])).
% 9.01/6.93 tff(33292,plain,
% 9.01/6.93 ((~(v136(constB109) <=> (v137(constB109) | v142(constB109)))) | v136(constB109) | (~(v137(constB109) | v142(constB109)))),
% 9.01/6.93 inference(tautology,[status(thm)],[])).
% 9.01/6.93 tff(33293,plain,
% 9.01/6.93 ((~(v136(constB109) <=> (v137(constB109) | v142(constB109)))) | v136(constB109)),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33292, 33291])).
% 9.01/6.93 tff(33294,plain,
% 9.01/6.93 (v136(constB109)),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33293, 33289])).
% 9.01/6.93 tff(33295,plain,
% 9.01/6.93 ((v136(constB109) | v145(constB109)) | (~v136(constB109))),
% 9.01/6.93 inference(tautology,[status(thm)],[])).
% 9.01/6.93 tff(33296,plain,
% 9.01/6.93 (v136(constB109) | v145(constB109)),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33295, 33294])).
% 9.01/6.93 tff(33297,plain,
% 9.01/6.93 ((~(v135(constB109) <=> (v136(constB109) | v145(constB109)))) | v135(constB109) | (~(v136(constB109) | v145(constB109)))),
% 9.01/6.93 inference(tautology,[status(thm)],[])).
% 9.01/6.93 tff(33298,plain,
% 9.01/6.93 (v135(constB109)),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33297, 33296, 33287])).
% 9.01/6.93 tff(33299,plain,
% 9.01/6.93 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB109)) | (v86(constB109) <=> v148(constB109)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB109)) | (v86(constB109) <=> v148(constB109)))),
% 9.01/6.93 inference(rewrite,[status(thm)],[])).
% 9.01/6.93 tff(33300,plain,
% 9.01/6.93 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB109)) | (v86(constB109) <=> v148(constB109)))),
% 9.01/6.93 inference(quant_inst,[status(thm)],[])).
% 9.01/6.93 tff(33301,plain,
% 9.01/6.93 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB109)) | (v86(constB109) <=> v148(constB109))),
% 9.01/6.93 inference(modus_ponens,[status(thm)],[33300, 33299])).
% 9.01/6.93 tff(33302,plain,
% 9.01/6.93 (v86(constB109) <=> v148(constB109)),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33301, 14818, 33298])).
% 9.01/6.93 tff(33303,plain,
% 9.01/6.93 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB109) | (~v142(constB109)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB109) | (~v142(constB109)))),
% 9.01/6.93 inference(rewrite,[status(thm)],[])).
% 9.01/6.93 tff(33304,plain,
% 9.01/6.93 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB109) | (~v142(constB109)))),
% 9.01/6.93 inference(quant_inst,[status(thm)],[])).
% 9.01/6.93 tff(33305,plain,
% 9.01/6.93 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB109) | (~v142(constB109))),
% 9.01/6.93 inference(modus_ponens,[status(thm)],[33304, 33303])).
% 9.01/6.93 tff(33306,plain,
% 9.01/6.93 (v148(constB109)),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33305, 14832, 28270])).
% 9.01/6.93 tff(33307,plain,
% 9.01/6.93 ((~(v86(constB109) <=> v148(constB109))) | v86(constB109) | (~v148(constB109))),
% 9.01/6.93 inference(tautology,[status(thm)],[])).
% 9.01/6.93 tff(33308,plain,
% 9.01/6.93 ((~(v86(constB109) <=> v148(constB109))) | v86(constB109)),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33307, 33306])).
% 9.01/6.93 tff(33309,plain,
% 9.01/6.93 (v86(constB109)),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33308, 33302])).
% 9.01/6.93 tff(33310,plain,
% 9.01/6.93 ($false),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33309, 33285])).
% 9.01/6.93 tff(33311,plain,(~(constB109 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.01/6.93 tff(33312,assumption,(constB181 = VarCurr!0), introduced(assumption)).
% 9.01/6.93 tff(33313,plain,
% 9.01/6.93 (v193(constB181) <=> v193(VarCurr!0)),
% 9.01/6.93 inference(monotonicity,[status(thm)],[33312])).
% 9.01/6.93 tff(33314,plain,
% 9.01/6.93 (v193(VarCurr!0) <=> v193(constB181)),
% 9.01/6.93 inference(symmetry,[status(thm)],[33313])).
% 9.01/6.93 tff(33315,plain,
% 9.01/6.93 (v193(constB181)),
% 9.01/6.93 inference(modus_ponens,[status(thm)],[59, 33314])).
% 9.01/6.93 tff(33316,plain,
% 9.01/6.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB180, constB181)) | (v193(constB181) <=> v191(constB180)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB180, constB181)) | (v193(constB181) <=> v191(constB180)))),
% 9.01/6.93 inference(rewrite,[status(thm)],[])).
% 9.01/6.93 tff(33317,plain,
% 9.01/6.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB180, constB181)) | (v193(constB181) <=> v191(constB180)))),
% 9.01/6.93 inference(quant_inst,[status(thm)],[])).
% 9.01/6.93 tff(33318,plain,
% 9.01/6.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB180, constB181)) | (v193(constB181) <=> v191(constB180))),
% 9.01/6.93 inference(modus_ponens,[status(thm)],[33317, 33316])).
% 9.01/6.93 tff(33319,plain,
% 9.01/6.93 (v193(constB181) <=> v191(constB180)),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33318, 15453, 70])).
% 9.01/6.93 tff(33320,plain,
% 9.01/6.93 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB180) <=> (v194(constB180) | v198(constB180)))),
% 9.01/6.93 inference(quant_inst,[status(thm)],[])).
% 9.01/6.93 tff(33321,plain,
% 9.01/6.93 (v191(constB180) <=> (v194(constB180) | v198(constB180))),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33320, 84])).
% 9.01/6.93 tff(33322,plain,
% 9.01/6.93 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB180) <=> (~((~v199(constB180)) | (~v200(constB180)))))),
% 9.01/6.93 inference(quant_inst,[status(thm)],[])).
% 9.01/6.93 tff(33323,plain,
% 9.01/6.93 (v198(constB180) <=> (~((~v199(constB180)) | (~v200(constB180))))),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33322, 96])).
% 9.01/6.93 tff(33324,plain,
% 9.01/6.93 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB180) <=> (~((~v197(constB180)) | (~v201(constB180)))))),
% 9.01/6.93 inference(quant_inst,[status(thm)],[])).
% 9.01/6.93 tff(33325,plain,
% 9.01/6.93 (v200(constB180) <=> (~((~v197(constB180)) | (~v201(constB180))))),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33324, 108])).
% 9.01/6.93 tff(33326,plain,
% 9.01/6.93 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB180) <=> (~((~v39(constB180)) | (~v9(constB180)))))),
% 9.01/6.93 inference(quant_inst,[status(thm)],[])).
% 9.01/6.93 tff(33327,plain,
% 9.01/6.93 (v197(constB180) <=> (~((~v39(constB180)) | (~v9(constB180))))),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33326, 120])).
% 9.01/6.93 tff(33328,plain,
% 9.01/6.93 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB180)) <=> v1(constB180))),
% 9.01/6.93 inference(quant_inst,[status(thm)],[])).
% 9.01/6.93 tff(33329,plain,
% 9.01/6.93 ((~v39(constB180)) <=> v1(constB180)),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33328, 129])).
% 9.01/6.93 tff(33330,plain,
% 9.01/6.93 ((~((~v39(constB180)) <=> v1(constB180))) | (~v39(constB180)) | (~v1(constB180))),
% 9.01/6.93 inference(tautology,[status(thm)],[])).
% 9.01/6.93 tff(33331,plain,
% 9.01/6.93 ((~((~v39(constB180)) <=> v1(constB180))) | (~v39(constB180))),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33330, 22742])).
% 9.01/6.93 tff(33332,plain,
% 9.01/6.93 (~v39(constB180)),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33331, 33329])).
% 9.01/6.93 tff(33333,plain,
% 9.01/6.93 (((~v39(constB180)) | (~v9(constB180))) | v39(constB180)),
% 9.01/6.93 inference(tautology,[status(thm)],[])).
% 9.01/6.93 tff(33334,plain,
% 9.01/6.93 ((~v39(constB180)) | (~v9(constB180))),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33333, 33332])).
% 9.01/6.93 tff(33335,plain,
% 9.01/6.93 ((~(v197(constB180) <=> (~((~v39(constB180)) | (~v9(constB180)))))) | (~v197(constB180)) | (~((~v39(constB180)) | (~v9(constB180))))),
% 9.01/6.93 inference(tautology,[status(thm)],[])).
% 9.01/6.93 tff(33336,plain,
% 9.01/6.93 ((~(v197(constB180) <=> (~((~v39(constB180)) | (~v9(constB180)))))) | (~v197(constB180))),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33335, 33334])).
% 9.01/6.93 tff(33337,plain,
% 9.01/6.93 (~v197(constB180)),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33336, 33327])).
% 9.01/6.93 tff(33338,plain,
% 9.01/6.93 (((~v197(constB180)) | (~v201(constB180))) | v197(constB180)),
% 9.01/6.93 inference(tautology,[status(thm)],[])).
% 9.01/6.93 tff(33339,plain,
% 9.01/6.93 ((~v197(constB180)) | (~v201(constB180))),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33338, 33337])).
% 9.01/6.93 tff(33340,plain,
% 9.01/6.93 ((~(v200(constB180) <=> (~((~v197(constB180)) | (~v201(constB180)))))) | (~v200(constB180)) | (~((~v197(constB180)) | (~v201(constB180))))),
% 9.01/6.93 inference(tautology,[status(thm)],[])).
% 9.01/6.93 tff(33341,plain,
% 9.01/6.93 ((~(v200(constB180) <=> (~((~v197(constB180)) | (~v201(constB180)))))) | (~v200(constB180))),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33340, 33339])).
% 9.01/6.93 tff(33342,plain,
% 9.01/6.93 (~v200(constB180)),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33341, 33325])).
% 9.01/6.93 tff(33343,plain,
% 9.01/6.93 (((~v199(constB180)) | (~v200(constB180))) | v200(constB180)),
% 9.01/6.93 inference(tautology,[status(thm)],[])).
% 9.01/6.93 tff(33344,plain,
% 9.01/6.93 ((~v199(constB180)) | (~v200(constB180))),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33343, 33342])).
% 9.01/6.93 tff(33345,plain,
% 9.01/6.93 ((~(v198(constB180) <=> (~((~v199(constB180)) | (~v200(constB180)))))) | (~v198(constB180)) | (~((~v199(constB180)) | (~v200(constB180))))),
% 9.01/6.93 inference(tautology,[status(thm)],[])).
% 9.01/6.93 tff(33346,plain,
% 9.01/6.93 (~v198(constB180)),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33345, 33344, 33323])).
% 9.01/6.93 tff(33347,plain,
% 9.01/6.93 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB180) <=> (~((~v157(constB180)) | (~v195(constB180)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB180) <=> (~((~v157(constB180)) | (~v195(constB180))))))),
% 9.01/6.93 inference(rewrite,[status(thm)],[])).
% 9.01/6.93 tff(33348,plain,
% 9.01/6.93 ((v194(constB180) <=> (~((~v195(constB180)) | (~v157(constB180))))) <=> (v194(constB180) <=> (~((~v157(constB180)) | (~v195(constB180)))))),
% 9.01/6.93 inference(rewrite,[status(thm)],[])).
% 9.01/6.93 tff(33349,plain,
% 9.01/6.93 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB180) <=> (~((~v195(constB180)) | (~v157(constB180)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB180) <=> (~((~v157(constB180)) | (~v195(constB180))))))),
% 9.01/6.93 inference(monotonicity,[status(thm)],[33348])).
% 9.01/6.93 tff(33350,plain,
% 9.01/6.93 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB180) <=> (~((~v195(constB180)) | (~v157(constB180)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB180) <=> (~((~v157(constB180)) | (~v195(constB180))))))),
% 9.01/6.93 inference(transitivity,[status(thm)],[33349, 33347])).
% 9.01/6.93 tff(33351,plain,
% 9.01/6.93 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB180) <=> (~((~v195(constB180)) | (~v157(constB180)))))),
% 9.01/6.93 inference(quant_inst,[status(thm)],[])).
% 9.01/6.93 tff(33352,plain,
% 9.01/6.93 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB180) <=> (~((~v157(constB180)) | (~v195(constB180)))))),
% 9.01/6.93 inference(modus_ponens,[status(thm)],[33351, 33350])).
% 9.01/6.93 tff(33353,plain,
% 9.01/6.93 (v194(constB180) <=> (~((~v157(constB180)) | (~v195(constB180))))),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33352, 161])).
% 9.01/6.93 tff(33354,plain,
% 9.01/6.93 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB180) <=> v193(constB180))),
% 9.01/6.93 inference(quant_inst,[status(thm)],[])).
% 9.01/6.93 tff(33355,plain,
% 9.01/6.93 (v157(constB180) <=> v193(constB180)),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33354, 13])).
% 9.01/6.93 tff(33356,plain,
% 9.01/6.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB179, constB180)) | (v193(constB180) <=> v191(constB179)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB179, constB180)) | (v193(constB180) <=> v191(constB179)))),
% 9.01/6.93 inference(rewrite,[status(thm)],[])).
% 9.01/6.93 tff(33357,plain,
% 9.01/6.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB179, constB180)) | (v193(constB180) <=> v191(constB179)))),
% 9.01/6.93 inference(quant_inst,[status(thm)],[])).
% 9.01/6.93 tff(33358,plain,
% 9.01/6.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB179, constB180)) | (v193(constB180) <=> v191(constB179))),
% 9.01/6.93 inference(modus_ponens,[status(thm)],[33357, 33356])).
% 9.01/6.93 tff(33359,plain,
% 9.01/6.93 (v193(constB180) <=> v191(constB179)),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33358, 15489, 70])).
% 9.01/6.93 tff(33360,plain,
% 9.01/6.93 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB179) <=> (v194(constB179) | v198(constB179)))),
% 9.01/6.93 inference(quant_inst,[status(thm)],[])).
% 9.01/6.93 tff(33361,plain,
% 9.01/6.93 (v191(constB179) <=> (v194(constB179) | v198(constB179))),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33360, 84])).
% 9.01/6.93 tff(33362,plain,
% 9.01/6.93 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB179) <=> (~((~v157(constB179)) | (~v195(constB179)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB179) <=> (~((~v157(constB179)) | (~v195(constB179))))))),
% 9.01/6.93 inference(rewrite,[status(thm)],[])).
% 9.01/6.93 tff(33363,plain,
% 9.01/6.93 ((v194(constB179) <=> (~((~v195(constB179)) | (~v157(constB179))))) <=> (v194(constB179) <=> (~((~v157(constB179)) | (~v195(constB179)))))),
% 9.01/6.93 inference(rewrite,[status(thm)],[])).
% 9.01/6.93 tff(33364,plain,
% 9.01/6.93 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB179) <=> (~((~v195(constB179)) | (~v157(constB179)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB179) <=> (~((~v157(constB179)) | (~v195(constB179))))))),
% 9.01/6.93 inference(monotonicity,[status(thm)],[33363])).
% 9.01/6.93 tff(33365,plain,
% 9.01/6.93 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB179) <=> (~((~v195(constB179)) | (~v157(constB179)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB179) <=> (~((~v157(constB179)) | (~v195(constB179))))))),
% 9.01/6.93 inference(transitivity,[status(thm)],[33364, 33362])).
% 9.01/6.93 tff(33366,plain,
% 9.01/6.93 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB179) <=> (~((~v195(constB179)) | (~v157(constB179)))))),
% 9.01/6.93 inference(quant_inst,[status(thm)],[])).
% 9.01/6.93 tff(33367,plain,
% 9.01/6.93 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB179) <=> (~((~v157(constB179)) | (~v195(constB179)))))),
% 9.01/6.93 inference(modus_ponens,[status(thm)],[33366, 33365])).
% 9.01/6.93 tff(33368,plain,
% 9.01/6.93 (v194(constB179) <=> (~((~v157(constB179)) | (~v195(constB179))))),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33367, 161])).
% 9.01/6.93 tff(33369,plain,
% 9.01/6.93 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB179)) <=> v196(constB179))),
% 9.01/6.93 inference(quant_inst,[status(thm)],[])).
% 9.01/6.93 tff(33370,plain,
% 9.01/6.93 ((~v195(constB179)) <=> v196(constB179)),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33369, 193])).
% 9.01/6.93 tff(33371,plain,
% 9.01/6.93 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB179) <=> (v197(constB179) | v26(constB179)))),
% 9.01/6.93 inference(quant_inst,[status(thm)],[])).
% 9.01/6.93 tff(33372,plain,
% 9.01/6.93 (v196(constB179) <=> (v197(constB179) | v26(constB179))),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33371, 202])).
% 9.01/6.93 tff(33373,plain,
% 9.01/6.93 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB179) <=> (~((~v39(constB179)) | (~v9(constB179)))))),
% 9.01/6.93 inference(quant_inst,[status(thm)],[])).
% 9.01/6.93 tff(33374,plain,
% 9.01/6.93 (v197(constB179) <=> (~((~v39(constB179)) | (~v9(constB179))))),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33373, 120])).
% 9.01/6.93 tff(33375,plain,
% 9.01/6.93 (((~![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)))),
% 9.01/6.93 inference(rewrite,[status(thm)],[])).
% 9.01/6.93 tff(33376,plain,
% 9.01/6.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB179, constB180)) | (v13(constB180) <=> v9(constB179)))),
% 9.01/6.93 inference(quant_inst,[status(thm)],[])).
% 9.01/6.93 tff(33377,plain,
% 9.01/6.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB179, constB180)) | (v13(constB180) <=> v9(constB179))),
% 9.01/6.93 inference(modus_ponens,[status(thm)],[33376, 33375])).
% 9.01/6.93 tff(33378,plain,
% 9.01/6.93 (v13(constB180) <=> v9(constB179)),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33377, 15489, 216])).
% 9.01/6.93 tff(33379,plain,
% 9.01/6.93 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB180) <=> v13(constB180))),
% 9.01/6.93 inference(quant_inst,[status(thm)],[])).
% 9.01/6.93 tff(33380,plain,
% 9.01/6.93 (v6(constB180) <=> v13(constB180)),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33379, 230])).
% 9.01/6.93 tff(33381,plain,
% 9.01/6.93 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB180)) <=> v6(constB180))),
% 9.01/6.93 inference(quant_inst,[status(thm)],[])).
% 9.01/6.93 tff(33382,plain,
% 9.01/6.93 ((~v21(constB180)) <=> v6(constB180)),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33381, 239])).
% 9.01/6.93 tff(33383,plain,
% 9.01/6.93 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB180) <=> (v20(constB180) | v21(constB180)))),
% 9.01/6.93 inference(quant_inst,[status(thm)],[])).
% 9.01/6.93 tff(33384,plain,
% 9.01/6.93 (v19(constB180) <=> (v20(constB180) | v21(constB180))),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33383, 248])).
% 9.01/6.93 tff(33385,plain,
% 9.01/6.93 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB180) <=> (~((~v19(constB180)) | (~v22(constB180)))))),
% 9.01/6.93 inference(quant_inst,[status(thm)],[])).
% 9.01/6.93 tff(33386,plain,
% 9.01/6.93 (v18(constB180) <=> (~((~v19(constB180)) | (~v22(constB180))))),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33385, 260])).
% 9.01/6.93 tff(33387,plain,
% 9.01/6.93 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB180)) <=> v18(constB180))),
% 9.01/6.93 inference(quant_inst,[status(thm)],[])).
% 9.01/6.93 tff(33388,plain,
% 9.01/6.93 ((~v4(constB180)) <=> v18(constB180)),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33387, 269])).
% 9.01/6.93 tff(33389,plain,
% 9.01/6.93 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB180)),
% 9.01/6.93 inference(quant_inst,[status(thm)],[])).
% 9.01/6.93 tff(33390,plain,
% 9.01/6.93 (v4(constB180)),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33389, 278])).
% 9.01/6.93 tff(33391,plain,
% 9.01/6.93 ((~((~v4(constB180)) <=> v18(constB180))) | (~v4(constB180)) | (~v18(constB180))),
% 9.01/6.93 inference(tautology,[status(thm)],[])).
% 9.01/6.93 tff(33392,plain,
% 9.01/6.93 (~v18(constB180)),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33391, 33390, 33388])).
% 9.01/6.93 tff(33393,plain,
% 9.01/6.93 ((~(v18(constB180) <=> (~((~v19(constB180)) | (~v22(constB180)))))) | v18(constB180) | ((~v19(constB180)) | (~v22(constB180)))),
% 9.01/6.93 inference(tautology,[status(thm)],[])).
% 9.01/6.93 tff(33394,plain,
% 9.01/6.93 ((~v19(constB180)) | (~v22(constB180))),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33393, 33392, 33386])).
% 9.01/6.93 tff(33395,plain,
% 9.01/6.93 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB180) <=> (v1(constB180) | v6(constB180)))),
% 9.01/6.93 inference(quant_inst,[status(thm)],[])).
% 9.01/6.93 tff(33396,plain,
% 9.01/6.93 (v22(constB180) <=> (v1(constB180) | v6(constB180))),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33395, 291])).
% 9.01/6.93 tff(33397,plain,
% 9.01/6.93 ((v1(constB180) | v6(constB180)) | (~v1(constB180))),
% 9.01/6.93 inference(tautology,[status(thm)],[])).
% 9.01/6.93 tff(33398,plain,
% 9.01/6.93 (v1(constB180) | v6(constB180)),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33397, 22742])).
% 9.01/6.93 tff(33399,plain,
% 9.01/6.93 ((~(v22(constB180) <=> (v1(constB180) | v6(constB180)))) | v22(constB180) | (~(v1(constB180) | v6(constB180)))),
% 9.01/6.93 inference(tautology,[status(thm)],[])).
% 9.01/6.93 tff(33400,plain,
% 9.01/6.93 ((~(v22(constB180) <=> (v1(constB180) | v6(constB180)))) | v22(constB180)),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33399, 33398])).
% 9.01/6.93 tff(33401,plain,
% 9.01/6.93 (v22(constB180)),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33400, 33396])).
% 9.01/6.93 tff(33402,plain,
% 9.01/6.93 ((~((~v19(constB180)) | (~v22(constB180)))) | (~v19(constB180)) | (~v22(constB180))),
% 9.01/6.93 inference(tautology,[status(thm)],[])).
% 9.01/6.93 tff(33403,plain,
% 9.01/6.93 ((~((~v19(constB180)) | (~v22(constB180)))) | (~v19(constB180))),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33402, 33401])).
% 9.01/6.93 tff(33404,plain,
% 9.01/6.93 (~v19(constB180)),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33403, 33394])).
% 9.01/6.93 tff(33405,plain,
% 9.01/6.93 ((~(v19(constB180) <=> (v20(constB180) | v21(constB180)))) | v19(constB180) | (~(v20(constB180) | v21(constB180)))),
% 9.01/6.93 inference(tautology,[status(thm)],[])).
% 9.01/6.93 tff(33406,plain,
% 9.01/6.93 (~(v20(constB180) | v21(constB180))),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33405, 33404, 33384])).
% 9.01/6.93 tff(33407,plain,
% 9.01/6.93 ((v20(constB180) | v21(constB180)) | (~v21(constB180))),
% 9.01/6.93 inference(tautology,[status(thm)],[])).
% 9.01/6.93 tff(33408,plain,
% 9.01/6.93 (~v21(constB180)),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33407, 33406])).
% 9.01/6.93 tff(33409,plain,
% 9.01/6.93 ((~((~v21(constB180)) <=> v6(constB180))) | v21(constB180) | v6(constB180)),
% 9.01/6.93 inference(tautology,[status(thm)],[])).
% 9.01/6.93 tff(33410,plain,
% 9.01/6.93 (v6(constB180)),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33409, 33408, 33382])).
% 9.01/6.93 tff(33411,plain,
% 9.01/6.93 ((~(v6(constB180) <=> v13(constB180))) | (~v6(constB180)) | v13(constB180)),
% 9.01/6.93 inference(tautology,[status(thm)],[])).
% 9.01/6.93 tff(33412,plain,
% 9.01/6.93 (v13(constB180)),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33411, 33410, 33380])).
% 9.01/6.93 tff(33413,plain,
% 9.01/6.93 ((~(v13(constB180) <=> v9(constB179))) | (~v13(constB180)) | v9(constB179)),
% 9.01/6.93 inference(tautology,[status(thm)],[])).
% 9.01/6.93 tff(33414,plain,
% 9.01/6.93 (v9(constB179)),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33413, 33412, 33378])).
% 9.01/6.93 tff(33415,plain,
% 9.01/6.93 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB179)) <=> v1(constB179))),
% 9.01/6.93 inference(quant_inst,[status(thm)],[])).
% 9.01/6.93 tff(33416,plain,
% 9.01/6.93 ((~v39(constB179)) <=> v1(constB179)),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33415, 129])).
% 9.01/6.93 tff(33417,plain,
% 9.01/6.93 ((~((~v39(constB179)) <=> v1(constB179))) | v39(constB179) | v1(constB179)),
% 9.01/6.93 inference(tautology,[status(thm)],[])).
% 9.01/6.93 tff(33418,plain,
% 9.01/6.93 ((~((~v39(constB179)) <=> v1(constB179))) | v39(constB179)),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33417, 15533])).
% 9.01/6.93 tff(33419,plain,
% 9.01/6.93 (v39(constB179)),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33418, 33416])).
% 9.01/6.93 tff(33420,plain,
% 9.01/6.93 ((~((~v39(constB179)) | (~v9(constB179)))) | (~v39(constB179)) | (~v9(constB179))),
% 9.01/6.93 inference(tautology,[status(thm)],[])).
% 9.01/6.93 tff(33421,plain,
% 9.01/6.93 ((~((~v39(constB179)) | (~v9(constB179)))) | (~v9(constB179))),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33420, 33419])).
% 9.01/6.93 tff(33422,plain,
% 9.01/6.93 (~((~v39(constB179)) | (~v9(constB179)))),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33421, 33414])).
% 9.01/6.93 tff(33423,plain,
% 9.01/6.93 ((~(v197(constB179) <=> (~((~v39(constB179)) | (~v9(constB179)))))) | v197(constB179) | ((~v39(constB179)) | (~v9(constB179)))),
% 9.01/6.93 inference(tautology,[status(thm)],[])).
% 9.01/6.93 tff(33424,plain,
% 9.01/6.93 (v197(constB179)),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33423, 33422, 33374])).
% 9.01/6.93 tff(33425,plain,
% 9.01/6.93 ((v197(constB179) | v26(constB179)) | (~v197(constB179))),
% 9.01/6.93 inference(tautology,[status(thm)],[])).
% 9.01/6.93 tff(33426,plain,
% 9.01/6.93 (v197(constB179) | v26(constB179)),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33425, 33424])).
% 9.01/6.93 tff(33427,plain,
% 9.01/6.93 ((~(v196(constB179) <=> (v197(constB179) | v26(constB179)))) | v196(constB179) | (~(v197(constB179) | v26(constB179)))),
% 9.01/6.93 inference(tautology,[status(thm)],[])).
% 9.01/6.93 tff(33428,plain,
% 9.01/6.93 (v196(constB179)),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33427, 33426, 33372])).
% 9.01/6.93 tff(33429,plain,
% 9.01/6.93 ((~((~v195(constB179)) <=> v196(constB179))) | (~v195(constB179)) | (~v196(constB179))),
% 9.01/6.93 inference(tautology,[status(thm)],[])).
% 9.01/6.93 tff(33430,plain,
% 9.01/6.93 (~v195(constB179)),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33429, 33428, 33370])).
% 9.01/6.93 tff(33431,plain,
% 9.01/6.93 (((~v157(constB179)) | (~v195(constB179))) | v195(constB179)),
% 9.01/6.93 inference(tautology,[status(thm)],[])).
% 9.01/6.93 tff(33432,plain,
% 9.01/6.93 ((~v157(constB179)) | (~v195(constB179))),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33431, 33430])).
% 9.01/6.93 tff(33433,plain,
% 9.01/6.93 ((~(v194(constB179) <=> (~((~v157(constB179)) | (~v195(constB179)))))) | (~v194(constB179)) | (~((~v157(constB179)) | (~v195(constB179))))),
% 9.01/6.93 inference(tautology,[status(thm)],[])).
% 9.01/6.93 tff(33434,plain,
% 9.01/6.93 (~v194(constB179)),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33433, 33432, 33368])).
% 9.01/6.93 tff(33435,plain,
% 9.01/6.93 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB179) <=> (~((~v199(constB179)) | (~v200(constB179)))))),
% 9.01/6.93 inference(quant_inst,[status(thm)],[])).
% 9.01/6.93 tff(33436,plain,
% 9.01/6.93 (v198(constB179) <=> (~((~v199(constB179)) | (~v200(constB179))))),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33435, 96])).
% 9.01/6.93 tff(33437,plain,
% 9.01/6.93 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB179) <=> (~((~v197(constB179)) | (~v201(constB179)))))),
% 9.01/6.93 inference(quant_inst,[status(thm)],[])).
% 9.01/6.93 tff(33438,plain,
% 9.01/6.93 (v200(constB179) <=> (~((~v197(constB179)) | (~v201(constB179))))),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33437, 108])).
% 9.01/6.93 tff(33439,plain,
% 9.01/6.93 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB179) <=> (~((~v159(constB179)) | (~v161(constB179)))))),
% 9.01/6.93 inference(quant_inst,[status(thm)],[])).
% 9.01/6.93 tff(33440,plain,
% 9.01/6.93 (v201(constB179) <=> (~((~v159(constB179)) | (~v161(constB179))))),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33439, 348])).
% 9.01/6.93 tff(33441,plain,
% 9.01/6.93 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB179) <=> v163(constB179))),
% 9.01/6.93 inference(quant_inst,[status(thm)],[])).
% 9.01/6.93 tff(33442,plain,
% 9.01/6.93 (v161(constB179) <=> v163(constB179)),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33441, 357])).
% 9.01/6.93 tff(33443,plain,
% 9.01/6.93 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB179) <=> (v145(constB179) | v167(constB179)))),
% 9.01/6.93 inference(quant_inst,[status(thm)],[])).
% 9.01/6.93 tff(33444,plain,
% 9.01/6.93 (v166(constB179) <=> (v145(constB179) | v167(constB179))),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33443, 369])).
% 9.01/6.93 tff(33445,plain,
% 9.01/6.93 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB179) <=> (v142(constB179) | v168(constB179)))),
% 9.01/6.93 inference(quant_inst,[status(thm)],[])).
% 9.01/6.93 tff(33446,plain,
% 9.01/6.93 (v167(constB179) <=> (v142(constB179) | v168(constB179))),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33445, 381])).
% 9.01/6.93 tff(33447,plain,
% 9.01/6.93 ((v142(constB179) | v168(constB179)) | (~v142(constB179))),
% 9.01/6.93 inference(tautology,[status(thm)],[])).
% 9.01/6.93 tff(33448,plain,
% 9.01/6.93 (v142(constB179) | v168(constB179)),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33447, 30686])).
% 9.01/6.93 tff(33449,plain,
% 9.01/6.93 ((~(v167(constB179) <=> (v142(constB179) | v168(constB179)))) | v167(constB179) | (~(v142(constB179) | v168(constB179)))),
% 9.01/6.93 inference(tautology,[status(thm)],[])).
% 9.01/6.93 tff(33450,plain,
% 9.01/6.93 ((~(v167(constB179) <=> (v142(constB179) | v168(constB179)))) | v167(constB179)),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33449, 33448])).
% 9.01/6.93 tff(33451,plain,
% 9.01/6.93 (v167(constB179)),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33450, 33446])).
% 9.01/6.93 tff(33452,plain,
% 9.01/6.93 ((v145(constB179) | v167(constB179)) | (~v167(constB179))),
% 9.01/6.93 inference(tautology,[status(thm)],[])).
% 9.01/6.93 tff(33453,plain,
% 9.01/6.93 (v145(constB179) | v167(constB179)),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33452, 33451])).
% 9.01/6.93 tff(33454,plain,
% 9.01/6.93 ((~(v166(constB179) <=> (v145(constB179) | v167(constB179)))) | v166(constB179) | (~(v145(constB179) | v167(constB179)))),
% 9.01/6.93 inference(tautology,[status(thm)],[])).
% 9.01/6.93 tff(33455,plain,
% 9.01/6.93 (v166(constB179)),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33454, 33453, 33444])).
% 9.01/6.93 tff(33456,plain,
% 9.01/6.93 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB179)) | (v163(constB179) <=> v170(constB179)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB179)) | (v163(constB179) <=> v170(constB179)))),
% 9.01/6.93 inference(rewrite,[status(thm)],[])).
% 9.01/6.93 tff(33457,plain,
% 9.01/6.93 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB179)) | (v163(constB179) <=> v170(constB179)))),
% 9.01/6.93 inference(quant_inst,[status(thm)],[])).
% 9.01/6.93 tff(33458,plain,
% 9.01/6.93 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB179)) | (v163(constB179) <=> v170(constB179))),
% 9.01/6.93 inference(modus_ponens,[status(thm)],[33457, 33456])).
% 9.01/6.93 tff(33459,plain,
% 9.01/6.93 ((~v166(constB179)) | (v163(constB179) <=> v170(constB179))),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33458, 9851])).
% 9.01/6.93 tff(33460,plain,
% 9.01/6.93 (v163(constB179) <=> v170(constB179)),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33459, 33455])).
% 9.01/6.93 tff(33461,plain,
% 9.01/6.93 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB179) <=> (v142(constB179) | v150(constB179)))),
% 9.01/6.93 inference(quant_inst,[status(thm)],[])).
% 9.01/6.93 tff(33462,plain,
% 9.01/6.93 (v171(constB179) <=> (v142(constB179) | v150(constB179))),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33461, 9866])).
% 9.01/6.93 tff(33463,plain,
% 9.01/6.93 ((v142(constB179) | v150(constB179)) | (~v142(constB179))),
% 9.01/6.93 inference(tautology,[status(thm)],[])).
% 9.01/6.93 tff(33464,plain,
% 9.01/6.93 (v142(constB179) | v150(constB179)),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33463, 30686])).
% 9.01/6.93 tff(33465,plain,
% 9.01/6.93 ((~(v171(constB179) <=> (v142(constB179) | v150(constB179)))) | v171(constB179) | (~(v142(constB179) | v150(constB179)))),
% 9.01/6.93 inference(tautology,[status(thm)],[])).
% 9.01/6.93 tff(33466,plain,
% 9.01/6.93 ((~(v171(constB179) <=> (v142(constB179) | v150(constB179)))) | v171(constB179)),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33465, 33464])).
% 9.01/6.93 tff(33467,plain,
% 9.01/6.93 (v171(constB179)),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33466, 33462])).
% 9.01/6.93 tff(33468,plain,
% 9.01/6.93 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB179)) | (~v171(constB179)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB179)) | (~v171(constB179)))),
% 9.01/6.93 inference(rewrite,[status(thm)],[])).
% 9.01/6.93 tff(33469,plain,
% 9.01/6.93 (((~v171(constB179)) | (~v170(constB179))) <=> ((~v170(constB179)) | (~v171(constB179)))),
% 9.01/6.93 inference(rewrite,[status(thm)],[])).
% 9.01/6.93 tff(33470,plain,
% 9.01/6.93 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB179)) | (~v170(constB179)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB179)) | (~v171(constB179))))),
% 9.01/6.93 inference(monotonicity,[status(thm)],[33469])).
% 9.01/6.93 tff(33471,plain,
% 9.01/6.93 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB179)) | (~v170(constB179)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB179)) | (~v171(constB179)))),
% 9.01/6.93 inference(transitivity,[status(thm)],[33470, 33468])).
% 9.01/6.93 tff(33472,plain,
% 9.01/6.93 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB179)) | (~v170(constB179)))),
% 9.01/6.93 inference(quant_inst,[status(thm)],[])).
% 9.01/6.93 tff(33473,plain,
% 9.01/6.93 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB179)) | (~v171(constB179))),
% 9.01/6.93 inference(modus_ponens,[status(thm)],[33472, 33471])).
% 9.01/6.93 tff(33474,plain,
% 9.01/6.93 (~v170(constB179)),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33473, 9899, 33467])).
% 9.01/6.93 tff(33475,plain,
% 9.01/6.93 ((~(v163(constB179) <=> v170(constB179))) | (~v163(constB179)) | v170(constB179)),
% 9.01/6.93 inference(tautology,[status(thm)],[])).
% 9.01/6.93 tff(33476,plain,
% 9.01/6.93 (~v163(constB179)),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33475, 33474, 33460])).
% 9.01/6.93 tff(33477,plain,
% 9.01/6.93 ((~(v161(constB179) <=> v163(constB179))) | (~v161(constB179)) | v163(constB179)),
% 9.01/6.93 inference(tautology,[status(thm)],[])).
% 9.01/6.93 tff(33478,plain,
% 9.01/6.93 (~v161(constB179)),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33477, 33476, 33442])).
% 9.01/6.93 tff(33479,plain,
% 9.01/6.93 (((~v159(constB179)) | (~v161(constB179))) | v161(constB179)),
% 9.01/6.93 inference(tautology,[status(thm)],[])).
% 9.01/6.93 tff(33480,plain,
% 9.01/6.93 ((~v159(constB179)) | (~v161(constB179))),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33479, 33478])).
% 9.01/6.93 tff(33481,plain,
% 9.01/6.93 ((~(v201(constB179) <=> (~((~v159(constB179)) | (~v161(constB179)))))) | (~v201(constB179)) | (~((~v159(constB179)) | (~v161(constB179))))),
% 9.01/6.93 inference(tautology,[status(thm)],[])).
% 9.01/6.93 tff(33482,plain,
% 9.01/6.93 (~v201(constB179)),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33481, 33480, 33440])).
% 9.01/6.93 tff(33483,plain,
% 9.01/6.93 (((~v197(constB179)) | (~v201(constB179))) | v201(constB179)),
% 9.01/6.93 inference(tautology,[status(thm)],[])).
% 9.01/6.93 tff(33484,plain,
% 9.01/6.93 ((~v197(constB179)) | (~v201(constB179))),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33483, 33482])).
% 9.01/6.93 tff(33485,plain,
% 9.01/6.93 ((~(v200(constB179) <=> (~((~v197(constB179)) | (~v201(constB179)))))) | (~v200(constB179)) | (~((~v197(constB179)) | (~v201(constB179))))),
% 9.01/6.93 inference(tautology,[status(thm)],[])).
% 9.01/6.93 tff(33486,plain,
% 9.01/6.93 (~v200(constB179)),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33485, 33484, 33438])).
% 9.01/6.93 tff(33487,plain,
% 9.01/6.93 (((~v199(constB179)) | (~v200(constB179))) | v200(constB179)),
% 9.01/6.93 inference(tautology,[status(thm)],[])).
% 9.01/6.93 tff(33488,plain,
% 9.01/6.93 ((~v199(constB179)) | (~v200(constB179))),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33487, 33486])).
% 9.01/6.93 tff(33489,plain,
% 9.01/6.93 ((~(v198(constB179) <=> (~((~v199(constB179)) | (~v200(constB179)))))) | (~v198(constB179)) | (~((~v199(constB179)) | (~v200(constB179))))),
% 9.01/6.93 inference(tautology,[status(thm)],[])).
% 9.01/6.93 tff(33490,plain,
% 9.01/6.93 (~v198(constB179)),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33489, 33488, 33436])).
% 9.01/6.93 tff(33491,plain,
% 9.01/6.93 ((~(v194(constB179) | v198(constB179))) | v194(constB179) | v198(constB179)),
% 9.01/6.93 inference(tautology,[status(thm)],[])).
% 9.01/6.93 tff(33492,plain,
% 9.01/6.93 (~(v194(constB179) | v198(constB179))),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33491, 33490, 33434])).
% 9.01/6.93 tff(33493,plain,
% 9.01/6.93 ((~(v191(constB179) <=> (v194(constB179) | v198(constB179)))) | (~v191(constB179)) | (v194(constB179) | v198(constB179))),
% 9.01/6.93 inference(tautology,[status(thm)],[])).
% 9.01/6.93 tff(33494,plain,
% 9.01/6.93 (~v191(constB179)),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33493, 33492, 33361])).
% 9.01/6.93 tff(33495,plain,
% 9.01/6.93 ((~(v193(constB180) <=> v191(constB179))) | (~v193(constB180)) | v191(constB179)),
% 9.01/6.93 inference(tautology,[status(thm)],[])).
% 9.01/6.93 tff(33496,plain,
% 9.01/6.93 (~v193(constB180)),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33495, 33494, 33359])).
% 9.01/6.93 tff(33497,plain,
% 9.01/6.93 ((~(v157(constB180) <=> v193(constB180))) | (~v157(constB180)) | v193(constB180)),
% 9.01/6.93 inference(tautology,[status(thm)],[])).
% 9.01/6.93 tff(33498,plain,
% 9.01/6.93 (~v157(constB180)),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33497, 33496, 33355])).
% 9.01/6.93 tff(33499,plain,
% 9.01/6.93 (((~v157(constB180)) | (~v195(constB180))) | v157(constB180)),
% 9.01/6.93 inference(tautology,[status(thm)],[])).
% 9.01/6.93 tff(33500,plain,
% 9.01/6.93 ((~v157(constB180)) | (~v195(constB180))),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33499, 33498])).
% 9.01/6.93 tff(33501,plain,
% 9.01/6.93 ((~(v194(constB180) <=> (~((~v157(constB180)) | (~v195(constB180)))))) | (~v194(constB180)) | (~((~v157(constB180)) | (~v195(constB180))))),
% 9.01/6.93 inference(tautology,[status(thm)],[])).
% 9.01/6.93 tff(33502,plain,
% 9.01/6.93 (~v194(constB180)),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33501, 33500, 33353])).
% 9.01/6.93 tff(33503,plain,
% 9.01/6.93 ((~(v194(constB180) | v198(constB180))) | v194(constB180) | v198(constB180)),
% 9.01/6.93 inference(tautology,[status(thm)],[])).
% 9.01/6.93 tff(33504,plain,
% 9.01/6.93 (~(v194(constB180) | v198(constB180))),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33503, 33502, 33346])).
% 9.01/6.93 tff(33505,plain,
% 9.01/6.93 ((~(v191(constB180) <=> (v194(constB180) | v198(constB180)))) | (~v191(constB180)) | (v194(constB180) | v198(constB180))),
% 9.01/6.93 inference(tautology,[status(thm)],[])).
% 9.01/6.93 tff(33506,plain,
% 9.01/6.93 (~v191(constB180)),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33505, 33504, 33321])).
% 9.01/6.93 tff(33507,plain,
% 9.01/6.93 ((~(v193(constB181) <=> v191(constB180))) | (~v193(constB181)) | v191(constB180)),
% 9.01/6.93 inference(tautology,[status(thm)],[])).
% 9.01/6.93 tff(33508,plain,
% 9.01/6.93 (~v193(constB181)),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33507, 33506, 33319])).
% 9.01/6.93 tff(33509,plain,
% 9.01/6.93 ($false),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33508, 33315])).
% 9.01/6.93 tff(33510,plain,(~(constB181 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.01/6.93 tff(33511,assumption,(constB93 = VarCurr!0), introduced(assumption)).
% 9.01/6.93 tff(33512,plain,
% 9.01/6.93 (v193(constB93) <=> v193(VarCurr!0)),
% 9.01/6.93 inference(monotonicity,[status(thm)],[33511])).
% 9.01/6.93 tff(33513,plain,
% 9.01/6.93 (v193(VarCurr!0) <=> v193(constB93)),
% 9.01/6.93 inference(symmetry,[status(thm)],[33512])).
% 9.01/6.93 tff(33514,plain,
% 9.01/6.93 (v193(constB93)),
% 9.01/6.93 inference(modus_ponens,[status(thm)],[59, 33513])).
% 9.01/6.93 tff(33515,plain,
% 9.01/6.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB92, constB93)) | (v193(constB93) <=> v191(constB92)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB92, constB93)) | (v193(constB93) <=> v191(constB92)))),
% 9.01/6.93 inference(rewrite,[status(thm)],[])).
% 9.01/6.93 tff(33516,plain,
% 9.01/6.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB92, constB93)) | (v193(constB93) <=> v191(constB92)))),
% 9.01/6.93 inference(quant_inst,[status(thm)],[])).
% 9.01/6.93 tff(33517,plain,
% 9.01/6.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB92, constB93)) | (v193(constB93) <=> v191(constB92))),
% 9.01/6.93 inference(modus_ponens,[status(thm)],[33516, 33515])).
% 9.01/6.93 tff(33518,plain,
% 9.01/6.93 (v193(constB93) <=> v191(constB92)),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33517, 11064, 70])).
% 9.01/6.93 tff(33519,plain,
% 9.01/6.93 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB92) <=> (v194(constB92) | v198(constB92)))),
% 9.01/6.93 inference(quant_inst,[status(thm)],[])).
% 9.01/6.93 tff(33520,plain,
% 9.01/6.93 (v191(constB92) <=> (v194(constB92) | v198(constB92))),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33519, 84])).
% 9.01/6.93 tff(33521,plain,
% 9.01/6.93 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB92) <=> (~((~v199(constB92)) | (~v200(constB92)))))),
% 9.01/6.93 inference(quant_inst,[status(thm)],[])).
% 9.01/6.93 tff(33522,plain,
% 9.01/6.93 (v198(constB92) <=> (~((~v199(constB92)) | (~v200(constB92))))),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33521, 96])).
% 9.01/6.93 tff(33523,plain,
% 9.01/6.93 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB92) <=> (~((~v197(constB92)) | (~v201(constB92)))))),
% 9.01/6.93 inference(quant_inst,[status(thm)],[])).
% 9.01/6.93 tff(33524,plain,
% 9.01/6.93 (v200(constB92) <=> (~((~v197(constB92)) | (~v201(constB92))))),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33523, 108])).
% 9.01/6.93 tff(33525,plain,
% 9.01/6.93 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB92) <=> (~((~v39(constB92)) | (~v9(constB92)))))),
% 9.01/6.93 inference(quant_inst,[status(thm)],[])).
% 9.01/6.93 tff(33526,plain,
% 9.01/6.93 (v197(constB92) <=> (~((~v39(constB92)) | (~v9(constB92))))),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33525, 120])).
% 9.01/6.93 tff(33527,plain,
% 9.01/6.93 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB92)) <=> v1(constB92))),
% 9.01/6.93 inference(quant_inst,[status(thm)],[])).
% 9.01/6.93 tff(33528,plain,
% 9.01/6.93 ((~v39(constB92)) <=> v1(constB92)),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33527, 129])).
% 9.01/6.93 tff(33529,plain,
% 9.01/6.93 ((~((~v39(constB92)) <=> v1(constB92))) | (~v39(constB92)) | (~v1(constB92))),
% 9.01/6.93 inference(tautology,[status(thm)],[])).
% 9.01/6.93 tff(33530,plain,
% 9.01/6.93 ((~((~v39(constB92)) <=> v1(constB92))) | (~v39(constB92))),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33529, 12284])).
% 9.01/6.93 tff(33531,plain,
% 9.01/6.93 (~v39(constB92)),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33530, 33528])).
% 9.01/6.93 tff(33532,plain,
% 9.01/6.93 (((~v39(constB92)) | (~v9(constB92))) | v39(constB92)),
% 9.01/6.93 inference(tautology,[status(thm)],[])).
% 9.01/6.93 tff(33533,plain,
% 9.01/6.93 ((~v39(constB92)) | (~v9(constB92))),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33532, 33531])).
% 9.01/6.93 tff(33534,plain,
% 9.01/6.93 ((~(v197(constB92) <=> (~((~v39(constB92)) | (~v9(constB92)))))) | (~v197(constB92)) | (~((~v39(constB92)) | (~v9(constB92))))),
% 9.01/6.93 inference(tautology,[status(thm)],[])).
% 9.01/6.93 tff(33535,plain,
% 9.01/6.93 ((~(v197(constB92) <=> (~((~v39(constB92)) | (~v9(constB92)))))) | (~v197(constB92))),
% 9.01/6.93 inference(unit_resolution,[status(thm)],[33534, 33533])).
% 9.01/6.94 tff(33536,plain,
% 9.01/6.94 (~v197(constB92)),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33535, 33526])).
% 9.01/6.94 tff(33537,plain,
% 9.01/6.94 (((~v197(constB92)) | (~v201(constB92))) | v197(constB92)),
% 9.01/6.94 inference(tautology,[status(thm)],[])).
% 9.01/6.94 tff(33538,plain,
% 9.01/6.94 ((~v197(constB92)) | (~v201(constB92))),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33537, 33536])).
% 9.01/6.94 tff(33539,plain,
% 9.01/6.94 ((~(v200(constB92) <=> (~((~v197(constB92)) | (~v201(constB92)))))) | (~v200(constB92)) | (~((~v197(constB92)) | (~v201(constB92))))),
% 9.01/6.94 inference(tautology,[status(thm)],[])).
% 9.01/6.94 tff(33540,plain,
% 9.01/6.94 ((~(v200(constB92) <=> (~((~v197(constB92)) | (~v201(constB92)))))) | (~v200(constB92))),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33539, 33538])).
% 9.01/6.94 tff(33541,plain,
% 9.01/6.94 (~v200(constB92)),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33540, 33524])).
% 9.01/6.94 tff(33542,plain,
% 9.01/6.94 (((~v199(constB92)) | (~v200(constB92))) | v200(constB92)),
% 9.01/6.94 inference(tautology,[status(thm)],[])).
% 9.01/6.94 tff(33543,plain,
% 9.01/6.94 ((~v199(constB92)) | (~v200(constB92))),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33542, 33541])).
% 9.01/6.94 tff(33544,plain,
% 9.01/6.94 ((~(v198(constB92) <=> (~((~v199(constB92)) | (~v200(constB92)))))) | (~v198(constB92)) | (~((~v199(constB92)) | (~v200(constB92))))),
% 9.01/6.94 inference(tautology,[status(thm)],[])).
% 9.01/6.94 tff(33545,plain,
% 9.01/6.94 (~v198(constB92)),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33544, 33543, 33522])).
% 9.01/6.94 tff(33546,plain,
% 9.01/6.94 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB92) <=> (~((~v157(constB92)) | (~v195(constB92)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB92) <=> (~((~v157(constB92)) | (~v195(constB92))))))),
% 9.01/6.94 inference(rewrite,[status(thm)],[])).
% 9.01/6.94 tff(33547,plain,
% 9.01/6.94 ((v194(constB92) <=> (~((~v195(constB92)) | (~v157(constB92))))) <=> (v194(constB92) <=> (~((~v157(constB92)) | (~v195(constB92)))))),
% 9.01/6.94 inference(rewrite,[status(thm)],[])).
% 9.01/6.94 tff(33548,plain,
% 9.01/6.94 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB92) <=> (~((~v195(constB92)) | (~v157(constB92)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB92) <=> (~((~v157(constB92)) | (~v195(constB92))))))),
% 9.01/6.94 inference(monotonicity,[status(thm)],[33547])).
% 9.01/6.94 tff(33549,plain,
% 9.01/6.94 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB92) <=> (~((~v195(constB92)) | (~v157(constB92)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB92) <=> (~((~v157(constB92)) | (~v195(constB92))))))),
% 9.01/6.94 inference(transitivity,[status(thm)],[33548, 33546])).
% 9.01/6.94 tff(33550,plain,
% 9.01/6.94 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB92) <=> (~((~v195(constB92)) | (~v157(constB92)))))),
% 9.01/6.94 inference(quant_inst,[status(thm)],[])).
% 9.01/6.94 tff(33551,plain,
% 9.01/6.94 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB92) <=> (~((~v157(constB92)) | (~v195(constB92)))))),
% 9.01/6.94 inference(modus_ponens,[status(thm)],[33550, 33549])).
% 9.01/6.94 tff(33552,plain,
% 9.01/6.94 (v194(constB92) <=> (~((~v157(constB92)) | (~v195(constB92))))),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33551, 161])).
% 9.01/6.94 tff(33553,plain,
% 9.01/6.94 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB92) <=> v193(constB92))),
% 9.01/6.94 inference(quant_inst,[status(thm)],[])).
% 9.01/6.94 tff(33554,plain,
% 9.01/6.94 (v157(constB92) <=> v193(constB92)),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33553, 13])).
% 9.01/6.94 tff(33555,plain,
% 9.01/6.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB91, constB92)) | (v193(constB92) <=> v191(constB91)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB91, constB92)) | (v193(constB92) <=> v191(constB91)))),
% 9.01/6.94 inference(rewrite,[status(thm)],[])).
% 9.01/6.94 tff(33556,plain,
% 9.01/6.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB91, constB92)) | (v193(constB92) <=> v191(constB91)))),
% 9.01/6.94 inference(quant_inst,[status(thm)],[])).
% 9.01/6.94 tff(33557,plain,
% 9.01/6.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB91, constB92)) | (v193(constB92) <=> v191(constB91))),
% 9.01/6.94 inference(modus_ponens,[status(thm)],[33556, 33555])).
% 9.01/6.94 tff(33558,plain,
% 9.01/6.94 (v193(constB92) <=> v191(constB91)),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33557, 11100, 70])).
% 9.01/6.94 tff(33559,plain,
% 9.01/6.94 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB91) <=> (v194(constB91) | v198(constB91)))),
% 9.01/6.94 inference(quant_inst,[status(thm)],[])).
% 9.01/6.94 tff(33560,plain,
% 9.01/6.94 (v191(constB91) <=> (v194(constB91) | v198(constB91))),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33559, 84])).
% 9.01/6.94 tff(33561,plain,
% 9.01/6.94 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB91) <=> (~((~v157(constB91)) | (~v195(constB91)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB91) <=> (~((~v157(constB91)) | (~v195(constB91))))))),
% 9.01/6.94 inference(rewrite,[status(thm)],[])).
% 9.01/6.94 tff(33562,plain,
% 9.01/6.94 ((v194(constB91) <=> (~((~v195(constB91)) | (~v157(constB91))))) <=> (v194(constB91) <=> (~((~v157(constB91)) | (~v195(constB91)))))),
% 9.01/6.94 inference(rewrite,[status(thm)],[])).
% 9.01/6.94 tff(33563,plain,
% 9.01/6.94 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB91) <=> (~((~v195(constB91)) | (~v157(constB91)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB91) <=> (~((~v157(constB91)) | (~v195(constB91))))))),
% 9.01/6.94 inference(monotonicity,[status(thm)],[33562])).
% 9.01/6.94 tff(33564,plain,
% 9.01/6.94 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB91) <=> (~((~v195(constB91)) | (~v157(constB91)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB91) <=> (~((~v157(constB91)) | (~v195(constB91))))))),
% 9.01/6.94 inference(transitivity,[status(thm)],[33563, 33561])).
% 9.01/6.94 tff(33565,plain,
% 9.01/6.94 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB91) <=> (~((~v195(constB91)) | (~v157(constB91)))))),
% 9.01/6.94 inference(quant_inst,[status(thm)],[])).
% 9.01/6.94 tff(33566,plain,
% 9.01/6.94 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB91) <=> (~((~v157(constB91)) | (~v195(constB91)))))),
% 9.01/6.94 inference(modus_ponens,[status(thm)],[33565, 33564])).
% 9.01/6.94 tff(33567,plain,
% 9.01/6.94 (v194(constB91) <=> (~((~v157(constB91)) | (~v195(constB91))))),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33566, 161])).
% 9.01/6.94 tff(33568,plain,
% 9.01/6.94 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB91)) <=> v196(constB91))),
% 9.01/6.94 inference(quant_inst,[status(thm)],[])).
% 9.01/6.94 tff(33569,plain,
% 9.01/6.94 ((~v195(constB91)) <=> v196(constB91)),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33568, 193])).
% 9.01/6.94 tff(33570,plain,
% 9.01/6.94 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB91) <=> (v197(constB91) | v26(constB91)))),
% 9.01/6.94 inference(quant_inst,[status(thm)],[])).
% 9.01/6.94 tff(33571,plain,
% 9.01/6.94 (v196(constB91) <=> (v197(constB91) | v26(constB91))),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33570, 202])).
% 9.01/6.94 tff(33572,plain,
% 9.01/6.94 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB91) <=> (~((~v39(constB91)) | (~v9(constB91)))))),
% 9.01/6.94 inference(quant_inst,[status(thm)],[])).
% 9.01/6.94 tff(33573,plain,
% 9.01/6.94 (v197(constB91) <=> (~((~v39(constB91)) | (~v9(constB91))))),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33572, 120])).
% 9.01/6.94 tff(33574,plain,
% 9.01/6.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB91, constB92)) | (v13(constB92) <=> v9(constB91)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB91, constB92)) | (v13(constB92) <=> v9(constB91)))),
% 9.01/6.94 inference(rewrite,[status(thm)],[])).
% 9.01/6.94 tff(33575,plain,
% 9.01/6.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB91, constB92)) | (v13(constB92) <=> v9(constB91)))),
% 9.01/6.94 inference(quant_inst,[status(thm)],[])).
% 9.01/6.94 tff(33576,plain,
% 9.01/6.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB91, constB92)) | (v13(constB92) <=> v9(constB91))),
% 9.01/6.94 inference(modus_ponens,[status(thm)],[33575, 33574])).
% 9.01/6.94 tff(33577,plain,
% 9.01/6.94 (v13(constB92) <=> v9(constB91)),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33576, 11100, 216])).
% 9.01/6.94 tff(33578,plain,
% 9.01/6.94 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB92) <=> v13(constB92))),
% 9.01/6.94 inference(quant_inst,[status(thm)],[])).
% 9.01/6.94 tff(33579,plain,
% 9.01/6.94 (v6(constB92) <=> v13(constB92)),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33578, 230])).
% 9.01/6.94 tff(33580,plain,
% 9.01/6.94 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB92)) <=> v6(constB92))),
% 9.01/6.94 inference(quant_inst,[status(thm)],[])).
% 9.01/6.94 tff(33581,plain,
% 9.01/6.94 ((~v21(constB92)) <=> v6(constB92)),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33580, 239])).
% 9.01/6.94 tff(33582,plain,
% 9.01/6.94 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB92) <=> (v20(constB92) | v21(constB92)))),
% 9.01/6.94 inference(quant_inst,[status(thm)],[])).
% 9.01/6.94 tff(33583,plain,
% 9.01/6.94 (v19(constB92) <=> (v20(constB92) | v21(constB92))),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33582, 248])).
% 9.01/6.94 tff(33584,plain,
% 9.01/6.94 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB92) <=> (~((~v19(constB92)) | (~v22(constB92)))))),
% 9.01/6.94 inference(quant_inst,[status(thm)],[])).
% 9.01/6.94 tff(33585,plain,
% 9.01/6.94 (v18(constB92) <=> (~((~v19(constB92)) | (~v22(constB92))))),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33584, 260])).
% 9.01/6.94 tff(33586,plain,
% 9.01/6.94 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB92)) <=> v18(constB92))),
% 9.01/6.94 inference(quant_inst,[status(thm)],[])).
% 9.01/6.94 tff(33587,plain,
% 9.01/6.94 ((~v4(constB92)) <=> v18(constB92)),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33586, 269])).
% 9.01/6.94 tff(33588,plain,
% 9.01/6.94 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB92)),
% 9.01/6.94 inference(quant_inst,[status(thm)],[])).
% 9.01/6.94 tff(33589,plain,
% 9.01/6.94 (v4(constB92)),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33588, 278])).
% 9.01/6.94 tff(33590,plain,
% 9.01/6.94 ((~((~v4(constB92)) <=> v18(constB92))) | (~v4(constB92)) | (~v18(constB92))),
% 9.01/6.94 inference(tautology,[status(thm)],[])).
% 9.01/6.94 tff(33591,plain,
% 9.01/6.94 (~v18(constB92)),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33590, 33589, 33587])).
% 9.01/6.94 tff(33592,plain,
% 9.01/6.94 ((~(v18(constB92) <=> (~((~v19(constB92)) | (~v22(constB92)))))) | v18(constB92) | ((~v19(constB92)) | (~v22(constB92)))),
% 9.01/6.94 inference(tautology,[status(thm)],[])).
% 9.01/6.94 tff(33593,plain,
% 9.01/6.94 ((~v19(constB92)) | (~v22(constB92))),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33592, 33591, 33585])).
% 9.01/6.94 tff(33594,plain,
% 9.01/6.94 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB92) <=> (v1(constB92) | v6(constB92)))),
% 9.01/6.94 inference(quant_inst,[status(thm)],[])).
% 9.01/6.94 tff(33595,plain,
% 9.01/6.94 (v22(constB92) <=> (v1(constB92) | v6(constB92))),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33594, 291])).
% 9.01/6.94 tff(33596,plain,
% 9.01/6.94 ((v1(constB92) | v6(constB92)) | (~v1(constB92))),
% 9.01/6.94 inference(tautology,[status(thm)],[])).
% 9.01/6.94 tff(33597,plain,
% 9.01/6.94 (v1(constB92) | v6(constB92)),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33596, 12284])).
% 9.01/6.94 tff(33598,plain,
% 9.01/6.94 ((~(v22(constB92) <=> (v1(constB92) | v6(constB92)))) | v22(constB92) | (~(v1(constB92) | v6(constB92)))),
% 9.01/6.94 inference(tautology,[status(thm)],[])).
% 9.01/6.94 tff(33599,plain,
% 9.01/6.94 ((~(v22(constB92) <=> (v1(constB92) | v6(constB92)))) | v22(constB92)),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33598, 33597])).
% 9.01/6.94 tff(33600,plain,
% 9.01/6.94 (v22(constB92)),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33599, 33595])).
% 9.01/6.94 tff(33601,plain,
% 9.01/6.94 ((~((~v19(constB92)) | (~v22(constB92)))) | (~v19(constB92)) | (~v22(constB92))),
% 9.01/6.94 inference(tautology,[status(thm)],[])).
% 9.01/6.94 tff(33602,plain,
% 9.01/6.94 ((~((~v19(constB92)) | (~v22(constB92)))) | (~v19(constB92))),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33601, 33600])).
% 9.01/6.94 tff(33603,plain,
% 9.01/6.94 (~v19(constB92)),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33602, 33593])).
% 9.01/6.94 tff(33604,plain,
% 9.01/6.94 ((~(v19(constB92) <=> (v20(constB92) | v21(constB92)))) | v19(constB92) | (~(v20(constB92) | v21(constB92)))),
% 9.01/6.94 inference(tautology,[status(thm)],[])).
% 9.01/6.94 tff(33605,plain,
% 9.01/6.94 (~(v20(constB92) | v21(constB92))),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33604, 33603, 33583])).
% 9.01/6.94 tff(33606,plain,
% 9.01/6.94 ((v20(constB92) | v21(constB92)) | (~v21(constB92))),
% 9.01/6.94 inference(tautology,[status(thm)],[])).
% 9.01/6.94 tff(33607,plain,
% 9.01/6.94 (~v21(constB92)),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33606, 33605])).
% 9.01/6.94 tff(33608,plain,
% 9.01/6.94 ((~((~v21(constB92)) <=> v6(constB92))) | v21(constB92) | v6(constB92)),
% 9.01/6.94 inference(tautology,[status(thm)],[])).
% 9.01/6.94 tff(33609,plain,
% 9.01/6.94 (v6(constB92)),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33608, 33607, 33581])).
% 9.01/6.94 tff(33610,plain,
% 9.01/6.94 ((~(v6(constB92) <=> v13(constB92))) | (~v6(constB92)) | v13(constB92)),
% 9.01/6.94 inference(tautology,[status(thm)],[])).
% 9.01/6.94 tff(33611,plain,
% 9.01/6.94 (v13(constB92)),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33610, 33609, 33579])).
% 9.01/6.94 tff(33612,plain,
% 9.01/6.94 ((~(v13(constB92) <=> v9(constB91))) | (~v13(constB92)) | v9(constB91)),
% 9.01/6.94 inference(tautology,[status(thm)],[])).
% 9.01/6.94 tff(33613,plain,
% 9.01/6.94 (v9(constB91)),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33612, 33611, 33577])).
% 9.01/6.94 tff(33614,plain,
% 9.01/6.94 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB91)) <=> v1(constB91))),
% 9.01/6.94 inference(quant_inst,[status(thm)],[])).
% 9.01/6.94 tff(33615,plain,
% 9.01/6.94 ((~v39(constB91)) <=> v1(constB91)),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33614, 129])).
% 9.01/6.94 tff(33616,plain,
% 9.01/6.94 ((~((~v39(constB91)) <=> v1(constB91))) | v39(constB91) | v1(constB91)),
% 9.01/6.94 inference(tautology,[status(thm)],[])).
% 9.01/6.94 tff(33617,plain,
% 9.01/6.94 ((~((~v39(constB91)) <=> v1(constB91))) | v39(constB91)),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33616, 11144])).
% 9.01/6.94 tff(33618,plain,
% 9.01/6.94 (v39(constB91)),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33617, 33615])).
% 9.01/6.94 tff(33619,plain,
% 9.01/6.94 ((~((~v39(constB91)) | (~v9(constB91)))) | (~v39(constB91)) | (~v9(constB91))),
% 9.01/6.94 inference(tautology,[status(thm)],[])).
% 9.01/6.94 tff(33620,plain,
% 9.01/6.94 ((~((~v39(constB91)) | (~v9(constB91)))) | (~v9(constB91))),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33619, 33618])).
% 9.01/6.94 tff(33621,plain,
% 9.01/6.94 (~((~v39(constB91)) | (~v9(constB91)))),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33620, 33613])).
% 9.01/6.94 tff(33622,plain,
% 9.01/6.94 ((~(v197(constB91) <=> (~((~v39(constB91)) | (~v9(constB91)))))) | v197(constB91) | ((~v39(constB91)) | (~v9(constB91)))),
% 9.01/6.94 inference(tautology,[status(thm)],[])).
% 9.01/6.94 tff(33623,plain,
% 9.01/6.94 (v197(constB91)),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33622, 33621, 33573])).
% 9.01/6.94 tff(33624,plain,
% 9.01/6.94 ((v197(constB91) | v26(constB91)) | (~v197(constB91))),
% 9.01/6.94 inference(tautology,[status(thm)],[])).
% 9.01/6.94 tff(33625,plain,
% 9.01/6.94 (v197(constB91) | v26(constB91)),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33624, 33623])).
% 9.01/6.94 tff(33626,plain,
% 9.01/6.94 ((~(v196(constB91) <=> (v197(constB91) | v26(constB91)))) | v196(constB91) | (~(v197(constB91) | v26(constB91)))),
% 9.01/6.94 inference(tautology,[status(thm)],[])).
% 9.01/6.94 tff(33627,plain,
% 9.01/6.94 (v196(constB91)),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33626, 33625, 33571])).
% 9.01/6.94 tff(33628,plain,
% 9.01/6.94 ((~((~v195(constB91)) <=> v196(constB91))) | (~v195(constB91)) | (~v196(constB91))),
% 9.01/6.94 inference(tautology,[status(thm)],[])).
% 9.01/6.94 tff(33629,plain,
% 9.01/6.94 (~v195(constB91)),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33628, 33627, 33569])).
% 9.01/6.94 tff(33630,plain,
% 9.01/6.94 (((~v157(constB91)) | (~v195(constB91))) | v195(constB91)),
% 9.01/6.94 inference(tautology,[status(thm)],[])).
% 9.01/6.94 tff(33631,plain,
% 9.01/6.94 ((~v157(constB91)) | (~v195(constB91))),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33630, 33629])).
% 9.01/6.94 tff(33632,plain,
% 9.01/6.94 ((~(v194(constB91) <=> (~((~v157(constB91)) | (~v195(constB91)))))) | (~v194(constB91)) | (~((~v157(constB91)) | (~v195(constB91))))),
% 9.01/6.94 inference(tautology,[status(thm)],[])).
% 9.01/6.94 tff(33633,plain,
% 9.01/6.94 (~v194(constB91)),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33632, 33631, 33567])).
% 9.01/6.94 tff(33634,plain,
% 9.01/6.94 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB91) <=> (~((~v199(constB91)) | (~v200(constB91)))))),
% 9.01/6.94 inference(quant_inst,[status(thm)],[])).
% 9.01/6.94 tff(33635,plain,
% 9.01/6.94 (v198(constB91) <=> (~((~v199(constB91)) | (~v200(constB91))))),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33634, 96])).
% 9.01/6.94 tff(33636,plain,
% 9.01/6.94 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB91) <=> (~((~v197(constB91)) | (~v201(constB91)))))),
% 9.01/6.94 inference(quant_inst,[status(thm)],[])).
% 9.01/6.94 tff(33637,plain,
% 9.01/6.94 (v200(constB91) <=> (~((~v197(constB91)) | (~v201(constB91))))),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33636, 108])).
% 9.01/6.94 tff(33638,plain,
% 9.01/6.94 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB91) <=> (~((~v159(constB91)) | (~v161(constB91)))))),
% 9.01/6.94 inference(quant_inst,[status(thm)],[])).
% 9.01/6.94 tff(33639,plain,
% 9.01/6.94 (v201(constB91) <=> (~((~v159(constB91)) | (~v161(constB91))))),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33638, 348])).
% 9.01/6.94 tff(33640,plain,
% 9.01/6.94 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB91) <=> v163(constB91))),
% 9.01/6.94 inference(quant_inst,[status(thm)],[])).
% 9.01/6.94 tff(33641,plain,
% 9.01/6.94 (v161(constB91) <=> v163(constB91)),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33640, 357])).
% 9.01/6.94 tff(33642,plain,
% 9.01/6.94 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB91) <=> (v145(constB91) | v167(constB91)))),
% 9.01/6.94 inference(quant_inst,[status(thm)],[])).
% 9.01/6.94 tff(33643,plain,
% 9.01/6.94 (v166(constB91) <=> (v145(constB91) | v167(constB91))),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33642, 369])).
% 9.01/6.94 tff(33644,plain,
% 9.01/6.94 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB91) <=> (v142(constB91) | v168(constB91)))),
% 9.01/6.94 inference(quant_inst,[status(thm)],[])).
% 9.01/6.94 tff(33645,plain,
% 9.01/6.94 (v167(constB91) <=> (v142(constB91) | v168(constB91))),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33644, 381])).
% 9.01/6.94 tff(33646,plain,
% 9.01/6.94 ((~![VarCurr: $i] : (v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr)))) | (v168(constB91) <=> (v141(constB91) | v169(constB91)))),
% 9.01/6.94 inference(quant_inst,[status(thm)],[])).
% 9.01/6.94 tff(33647,plain,
% 9.01/6.94 (v168(constB91) <=> (v141(constB91) | v169(constB91))),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33646, 393])).
% 9.01/6.94 tff(33648,plain,
% 9.01/6.94 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB91) <=> (~((~v88(constB91, bitIndex1)) | v88(constB91, bitIndex2) | (~v88(constB91, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB91) <=> (~((~v88(constB91, bitIndex1)) | v88(constB91, bitIndex2) | (~v88(constB91, bitIndex0))))))),
% 9.01/6.94 inference(rewrite,[status(thm)],[])).
% 9.01/6.94 tff(33649,plain,
% 9.01/6.94 ((v141(constB91) <=> (~(v88(constB91, bitIndex2) | (~v88(constB91, bitIndex1)) | (~v88(constB91, bitIndex0))))) <=> (v141(constB91) <=> (~((~v88(constB91, bitIndex1)) | v88(constB91, bitIndex2) | (~v88(constB91, bitIndex0)))))),
% 9.01/6.94 inference(rewrite,[status(thm)],[])).
% 9.01/6.94 tff(33650,plain,
% 9.01/6.94 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB91) <=> (~(v88(constB91, bitIndex2) | (~v88(constB91, bitIndex1)) | (~v88(constB91, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB91) <=> (~((~v88(constB91, bitIndex1)) | v88(constB91, bitIndex2) | (~v88(constB91, bitIndex0))))))),
% 9.01/6.94 inference(monotonicity,[status(thm)],[33649])).
% 9.01/6.94 tff(33651,plain,
% 9.01/6.94 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB91) <=> (~(v88(constB91, bitIndex2) | (~v88(constB91, bitIndex1)) | (~v88(constB91, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB91) <=> (~((~v88(constB91, bitIndex1)) | v88(constB91, bitIndex2) | (~v88(constB91, bitIndex0))))))),
% 9.01/6.94 inference(transitivity,[status(thm)],[33650, 33648])).
% 9.01/6.94 tff(33652,plain,
% 9.01/6.94 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB91) <=> (~(v88(constB91, bitIndex2) | (~v88(constB91, bitIndex1)) | (~v88(constB91, bitIndex0)))))),
% 9.01/6.94 inference(quant_inst,[status(thm)],[])).
% 9.01/6.94 tff(33653,plain,
% 9.01/6.94 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB91) <=> (~((~v88(constB91, bitIndex1)) | v88(constB91, bitIndex2) | (~v88(constB91, bitIndex0)))))),
% 9.01/6.94 inference(modus_ponens,[status(thm)],[33652, 33651])).
% 9.01/6.94 tff(33654,plain,
% 9.01/6.94 (v141(constB91) <=> (~((~v88(constB91, bitIndex1)) | v88(constB91, bitIndex2) | (~v88(constB91, bitIndex0))))),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33653, 408])).
% 9.01/6.94 tff(33655,plain,
% 9.01/6.94 ((~![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))) | (~(((~v88(constB91, bitIndex1)) <=> v90(constB91, bitIndex1)) | ((~v88(constB91, bitIndex2)) <=> v90(constB91, bitIndex2)) | ((~v88(constB91, bitIndex0)) <=> v90(constB91, bitIndex0))))),
% 9.01/6.94 inference(quant_inst,[status(thm)],[])).
% 9.01/6.94 tff(33656,plain,
% 9.01/6.94 (~(((~v88(constB91, bitIndex1)) <=> v90(constB91, bitIndex1)) | ((~v88(constB91, bitIndex2)) <=> v90(constB91, bitIndex2)) | ((~v88(constB91, bitIndex0)) <=> v90(constB91, bitIndex0)))),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33655, 428])).
% 9.01/6.94 tff(33657,plain,
% 9.01/6.94 ((((~v88(constB91, bitIndex1)) <=> v90(constB91, bitIndex1)) | ((~v88(constB91, bitIndex2)) <=> v90(constB91, bitIndex2)) | ((~v88(constB91, bitIndex0)) <=> v90(constB91, bitIndex0))) | (~((~v88(constB91, bitIndex2)) <=> v90(constB91, bitIndex2)))),
% 9.01/6.94 inference(tautology,[status(thm)],[])).
% 9.01/6.94 tff(33658,plain,
% 9.01/6.94 (~((~v88(constB91, bitIndex2)) <=> v90(constB91, bitIndex2))),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33657, 33656])).
% 9.01/6.94 tff(33659,plain,
% 9.01/6.94 (((~v88(constB91, bitIndex2)) <=> v90(constB91, bitIndex2)) | (~v88(constB91, bitIndex2)) | v90(constB91, bitIndex2)),
% 9.01/6.94 inference(tautology,[status(thm)],[])).
% 9.01/6.94 tff(33660,plain,
% 9.01/6.94 (~v88(constB91, bitIndex2)),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33659, 12203, 33658])).
% 9.01/6.94 tff(33661,plain,
% 9.01/6.94 ((((~v88(constB91, bitIndex1)) <=> v90(constB91, bitIndex1)) | ((~v88(constB91, bitIndex2)) <=> v90(constB91, bitIndex2)) | ((~v88(constB91, bitIndex0)) <=> v90(constB91, bitIndex0))) | (~((~v88(constB91, bitIndex0)) <=> v90(constB91, bitIndex0)))),
% 9.01/6.94 inference(tautology,[status(thm)],[])).
% 9.01/6.94 tff(33662,plain,
% 9.01/6.94 (~((~v88(constB91, bitIndex0)) <=> v90(constB91, bitIndex0))),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33661, 33656])).
% 9.01/6.94 tff(33663,plain,
% 9.01/6.94 (((~v88(constB91, bitIndex0)) <=> v90(constB91, bitIndex0)) | v88(constB91, bitIndex0) | (~v90(constB91, bitIndex0))),
% 9.01/6.94 inference(tautology,[status(thm)],[])).
% 9.01/6.94 tff(33664,plain,
% 9.01/6.94 (v88(constB91, bitIndex0)),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33663, 12221, 33662])).
% 9.01/6.94 tff(33665,plain,
% 9.01/6.94 ((((~v88(constB91, bitIndex1)) <=> v90(constB91, bitIndex1)) | ((~v88(constB91, bitIndex2)) <=> v90(constB91, bitIndex2)) | ((~v88(constB91, bitIndex0)) <=> v90(constB91, bitIndex0))) | (~((~v88(constB91, bitIndex1)) <=> v90(constB91, bitIndex1)))),
% 9.01/6.94 inference(tautology,[status(thm)],[])).
% 9.01/6.94 tff(33666,plain,
% 9.01/6.94 (~((~v88(constB91, bitIndex1)) <=> v90(constB91, bitIndex1))),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33665, 33656])).
% 9.01/6.94 tff(33667,plain,
% 9.01/6.94 (((~v88(constB91, bitIndex1)) <=> v90(constB91, bitIndex1)) | v88(constB91, bitIndex1) | (~v90(constB91, bitIndex1))),
% 9.01/6.94 inference(tautology,[status(thm)],[])).
% 9.01/6.94 tff(33668,plain,
% 9.01/6.94 (v88(constB91, bitIndex1)),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33667, 12239, 33666])).
% 9.01/6.94 tff(33669,plain,
% 9.01/6.94 ((~((~v88(constB91, bitIndex1)) | v88(constB91, bitIndex2) | (~v88(constB91, bitIndex0)))) | (~v88(constB91, bitIndex1)) | v88(constB91, bitIndex2) | (~v88(constB91, bitIndex0))),
% 9.01/6.94 inference(tautology,[status(thm)],[])).
% 9.01/6.94 tff(33670,plain,
% 9.01/6.94 (~((~v88(constB91, bitIndex1)) | v88(constB91, bitIndex2) | (~v88(constB91, bitIndex0)))),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33669, 33668, 33664, 33660])).
% 9.01/6.94 tff(33671,plain,
% 9.01/6.94 ((~(v141(constB91) <=> (~((~v88(constB91, bitIndex1)) | v88(constB91, bitIndex2) | (~v88(constB91, bitIndex0)))))) | v141(constB91) | ((~v88(constB91, bitIndex1)) | v88(constB91, bitIndex2) | (~v88(constB91, bitIndex0)))),
% 9.01/6.94 inference(tautology,[status(thm)],[])).
% 9.01/6.94 tff(33672,plain,
% 9.01/6.94 (v141(constB91)),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33671, 33670, 33654])).
% 9.01/6.94 tff(33673,plain,
% 9.01/6.94 ((v141(constB91) | v169(constB91)) | (~v141(constB91))),
% 9.01/6.94 inference(tautology,[status(thm)],[])).
% 9.01/6.94 tff(33674,plain,
% 9.01/6.94 (v141(constB91) | v169(constB91)),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33673, 33672])).
% 9.01/6.94 tff(33675,plain,
% 9.01/6.94 ((~(v168(constB91) <=> (v141(constB91) | v169(constB91)))) | v168(constB91) | (~(v141(constB91) | v169(constB91)))),
% 9.01/6.94 inference(tautology,[status(thm)],[])).
% 9.01/6.94 tff(33676,plain,
% 9.01/6.94 (v168(constB91)),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33675, 33674, 33647])).
% 9.01/6.94 tff(33677,plain,
% 9.01/6.94 ((v142(constB91) | v168(constB91)) | (~v168(constB91))),
% 9.01/6.94 inference(tautology,[status(thm)],[])).
% 9.01/6.94 tff(33678,plain,
% 9.01/6.94 (v142(constB91) | v168(constB91)),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33677, 33676])).
% 9.01/6.94 tff(33679,plain,
% 9.01/6.94 ((~(v167(constB91) <=> (v142(constB91) | v168(constB91)))) | v167(constB91) | (~(v142(constB91) | v168(constB91)))),
% 9.01/6.94 inference(tautology,[status(thm)],[])).
% 9.01/6.94 tff(33680,plain,
% 9.01/6.94 ((~(v167(constB91) <=> (v142(constB91) | v168(constB91)))) | v167(constB91)),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33679, 33678])).
% 9.01/6.94 tff(33681,plain,
% 9.01/6.94 (v167(constB91)),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33680, 33645])).
% 9.01/6.94 tff(33682,plain,
% 9.01/6.94 ((v145(constB91) | v167(constB91)) | (~v167(constB91))),
% 9.01/6.94 inference(tautology,[status(thm)],[])).
% 9.01/6.94 tff(33683,plain,
% 9.01/6.94 (v145(constB91) | v167(constB91)),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33682, 33681])).
% 9.01/6.94 tff(33684,plain,
% 9.01/6.94 ((~(v166(constB91) <=> (v145(constB91) | v167(constB91)))) | v166(constB91) | (~(v145(constB91) | v167(constB91)))),
% 9.01/6.94 inference(tautology,[status(thm)],[])).
% 9.01/6.94 tff(33685,plain,
% 9.01/6.94 (v166(constB91)),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33684, 33683, 33643])).
% 9.01/6.94 tff(33686,plain,
% 9.01/6.94 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB91)) | (v163(constB91) <=> v170(constB91)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB91)) | (v163(constB91) <=> v170(constB91)))),
% 9.01/6.94 inference(rewrite,[status(thm)],[])).
% 9.01/6.94 tff(33687,plain,
% 9.01/6.94 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB91)) | (v163(constB91) <=> v170(constB91)))),
% 9.01/6.94 inference(quant_inst,[status(thm)],[])).
% 9.01/6.94 tff(33688,plain,
% 9.01/6.94 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB91)) | (v163(constB91) <=> v170(constB91))),
% 9.01/6.94 inference(modus_ponens,[status(thm)],[33687, 33686])).
% 9.01/6.94 tff(33689,plain,
% 9.01/6.94 ((~v166(constB91)) | (v163(constB91) <=> v170(constB91))),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33688, 9851])).
% 9.01/6.94 tff(33690,plain,
% 9.01/6.94 (v163(constB91) <=> v170(constB91)),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33689, 33685])).
% 9.01/6.94 tff(33691,plain,
% 9.01/6.94 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB91) <=> (v142(constB91) | v150(constB91)))),
% 9.01/6.94 inference(quant_inst,[status(thm)],[])).
% 9.01/6.94 tff(33692,plain,
% 9.01/6.94 (v171(constB91) <=> (v142(constB91) | v150(constB91))),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33691, 9866])).
% 9.01/6.94 tff(33693,plain,
% 9.01/6.94 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v141(VarCurr) | v151(VarCurr)))) | (v150(constB91) <=> (v141(constB91) | v151(constB91)))),
% 9.01/6.94 inference(quant_inst,[status(thm)],[])).
% 9.01/6.94 tff(33694,plain,
% 9.01/6.94 (v150(constB91) <=> (v141(constB91) | v151(constB91))),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33693, 9878])).
% 9.01/6.94 tff(33695,plain,
% 9.01/6.94 ((v141(constB91) | v151(constB91)) | (~v141(constB91))),
% 9.01/6.94 inference(tautology,[status(thm)],[])).
% 9.01/6.94 tff(33696,plain,
% 9.01/6.94 (v141(constB91) | v151(constB91)),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33695, 33672])).
% 9.01/6.94 tff(33697,plain,
% 9.01/6.94 ((~(v150(constB91) <=> (v141(constB91) | v151(constB91)))) | v150(constB91) | (~(v141(constB91) | v151(constB91)))),
% 9.01/6.94 inference(tautology,[status(thm)],[])).
% 9.01/6.94 tff(33698,plain,
% 9.01/6.94 (v150(constB91)),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33697, 33696, 33694])).
% 9.01/6.94 tff(33699,plain,
% 9.01/6.94 ((v142(constB91) | v150(constB91)) | (~v150(constB91))),
% 9.01/6.94 inference(tautology,[status(thm)],[])).
% 9.01/6.94 tff(33700,plain,
% 9.01/6.94 (v142(constB91) | v150(constB91)),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33699, 33698])).
% 9.01/6.94 tff(33701,plain,
% 9.01/6.94 ((~(v171(constB91) <=> (v142(constB91) | v150(constB91)))) | v171(constB91) | (~(v142(constB91) | v150(constB91)))),
% 9.01/6.94 inference(tautology,[status(thm)],[])).
% 9.01/6.94 tff(33702,plain,
% 9.01/6.94 ((~(v171(constB91) <=> (v142(constB91) | v150(constB91)))) | v171(constB91)),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33701, 33700])).
% 9.01/6.94 tff(33703,plain,
% 9.01/6.94 (v171(constB91)),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33702, 33692])).
% 9.01/6.94 tff(33704,plain,
% 9.01/6.94 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB91)) | (~v171(constB91)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB91)) | (~v171(constB91)))),
% 9.01/6.94 inference(rewrite,[status(thm)],[])).
% 9.01/6.94 tff(33705,plain,
% 9.01/6.94 (((~v171(constB91)) | (~v170(constB91))) <=> ((~v170(constB91)) | (~v171(constB91)))),
% 9.01/6.94 inference(rewrite,[status(thm)],[])).
% 9.01/6.94 tff(33706,plain,
% 9.01/6.94 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB91)) | (~v170(constB91)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB91)) | (~v171(constB91))))),
% 9.01/6.94 inference(monotonicity,[status(thm)],[33705])).
% 9.01/6.94 tff(33707,plain,
% 9.01/6.94 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB91)) | (~v170(constB91)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB91)) | (~v171(constB91)))),
% 9.01/6.94 inference(transitivity,[status(thm)],[33706, 33704])).
% 9.01/6.94 tff(33708,plain,
% 9.01/6.94 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB91)) | (~v170(constB91)))),
% 9.01/6.94 inference(quant_inst,[status(thm)],[])).
% 9.01/6.94 tff(33709,plain,
% 9.01/6.94 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB91)) | (~v171(constB91))),
% 9.01/6.94 inference(modus_ponens,[status(thm)],[33708, 33707])).
% 9.01/6.94 tff(33710,plain,
% 9.01/6.94 (~v170(constB91)),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33709, 9899, 33703])).
% 9.01/6.94 tff(33711,plain,
% 9.01/6.94 ((~(v163(constB91) <=> v170(constB91))) | (~v163(constB91)) | v170(constB91)),
% 9.01/6.94 inference(tautology,[status(thm)],[])).
% 9.01/6.94 tff(33712,plain,
% 9.01/6.94 (~v163(constB91)),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33711, 33710, 33690])).
% 9.01/6.94 tff(33713,plain,
% 9.01/6.94 ((~(v161(constB91) <=> v163(constB91))) | (~v161(constB91)) | v163(constB91)),
% 9.01/6.94 inference(tautology,[status(thm)],[])).
% 9.01/6.94 tff(33714,plain,
% 9.01/6.94 (~v161(constB91)),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33713, 33712, 33641])).
% 9.01/6.94 tff(33715,plain,
% 9.01/6.94 (((~v159(constB91)) | (~v161(constB91))) | v161(constB91)),
% 9.01/6.94 inference(tautology,[status(thm)],[])).
% 9.01/6.94 tff(33716,plain,
% 9.01/6.94 ((~v159(constB91)) | (~v161(constB91))),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33715, 33714])).
% 9.01/6.94 tff(33717,plain,
% 9.01/6.94 ((~(v201(constB91) <=> (~((~v159(constB91)) | (~v161(constB91)))))) | (~v201(constB91)) | (~((~v159(constB91)) | (~v161(constB91))))),
% 9.01/6.94 inference(tautology,[status(thm)],[])).
% 9.01/6.94 tff(33718,plain,
% 9.01/6.94 (~v201(constB91)),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33717, 33716, 33639])).
% 9.01/6.94 tff(33719,plain,
% 9.01/6.94 (((~v197(constB91)) | (~v201(constB91))) | v201(constB91)),
% 9.01/6.94 inference(tautology,[status(thm)],[])).
% 9.01/6.94 tff(33720,plain,
% 9.01/6.94 ((~v197(constB91)) | (~v201(constB91))),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33719, 33718])).
% 9.01/6.94 tff(33721,plain,
% 9.01/6.94 ((~(v200(constB91) <=> (~((~v197(constB91)) | (~v201(constB91)))))) | (~v200(constB91)) | (~((~v197(constB91)) | (~v201(constB91))))),
% 9.01/6.94 inference(tautology,[status(thm)],[])).
% 9.01/6.94 tff(33722,plain,
% 9.01/6.94 (~v200(constB91)),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33721, 33720, 33637])).
% 9.01/6.94 tff(33723,plain,
% 9.01/6.94 (((~v199(constB91)) | (~v200(constB91))) | v200(constB91)),
% 9.01/6.94 inference(tautology,[status(thm)],[])).
% 9.01/6.94 tff(33724,plain,
% 9.01/6.94 ((~v199(constB91)) | (~v200(constB91))),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33723, 33722])).
% 9.01/6.94 tff(33725,plain,
% 9.01/6.94 ((~(v198(constB91) <=> (~((~v199(constB91)) | (~v200(constB91)))))) | (~v198(constB91)) | (~((~v199(constB91)) | (~v200(constB91))))),
% 9.01/6.94 inference(tautology,[status(thm)],[])).
% 9.01/6.94 tff(33726,plain,
% 9.01/6.94 (~v198(constB91)),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33725, 33724, 33635])).
% 9.01/6.94 tff(33727,plain,
% 9.01/6.94 ((~(v194(constB91) | v198(constB91))) | v194(constB91) | v198(constB91)),
% 9.01/6.94 inference(tautology,[status(thm)],[])).
% 9.01/6.94 tff(33728,plain,
% 9.01/6.94 (~(v194(constB91) | v198(constB91))),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33727, 33726, 33633])).
% 9.01/6.94 tff(33729,plain,
% 9.01/6.94 ((~(v191(constB91) <=> (v194(constB91) | v198(constB91)))) | (~v191(constB91)) | (v194(constB91) | v198(constB91))),
% 9.01/6.94 inference(tautology,[status(thm)],[])).
% 9.01/6.94 tff(33730,plain,
% 9.01/6.94 (~v191(constB91)),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33729, 33728, 33560])).
% 9.01/6.94 tff(33731,plain,
% 9.01/6.94 ((~(v193(constB92) <=> v191(constB91))) | (~v193(constB92)) | v191(constB91)),
% 9.01/6.94 inference(tautology,[status(thm)],[])).
% 9.01/6.94 tff(33732,plain,
% 9.01/6.94 (~v193(constB92)),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33731, 33730, 33558])).
% 9.01/6.94 tff(33733,plain,
% 9.01/6.94 ((~(v157(constB92) <=> v193(constB92))) | (~v157(constB92)) | v193(constB92)),
% 9.01/6.94 inference(tautology,[status(thm)],[])).
% 9.01/6.94 tff(33734,plain,
% 9.01/6.94 (~v157(constB92)),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33733, 33732, 33554])).
% 9.01/6.94 tff(33735,plain,
% 9.01/6.94 (((~v157(constB92)) | (~v195(constB92))) | v157(constB92)),
% 9.01/6.94 inference(tautology,[status(thm)],[])).
% 9.01/6.94 tff(33736,plain,
% 9.01/6.94 ((~v157(constB92)) | (~v195(constB92))),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33735, 33734])).
% 9.01/6.94 tff(33737,plain,
% 9.01/6.94 ((~(v194(constB92) <=> (~((~v157(constB92)) | (~v195(constB92)))))) | (~v194(constB92)) | (~((~v157(constB92)) | (~v195(constB92))))),
% 9.01/6.94 inference(tautology,[status(thm)],[])).
% 9.01/6.94 tff(33738,plain,
% 9.01/6.94 (~v194(constB92)),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33737, 33736, 33552])).
% 9.01/6.94 tff(33739,plain,
% 9.01/6.94 ((~(v194(constB92) | v198(constB92))) | v194(constB92) | v198(constB92)),
% 9.01/6.94 inference(tautology,[status(thm)],[])).
% 9.01/6.94 tff(33740,plain,
% 9.01/6.94 (~(v194(constB92) | v198(constB92))),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33739, 33738, 33545])).
% 9.01/6.94 tff(33741,plain,
% 9.01/6.94 ((~(v191(constB92) <=> (v194(constB92) | v198(constB92)))) | (~v191(constB92)) | (v194(constB92) | v198(constB92))),
% 9.01/6.94 inference(tautology,[status(thm)],[])).
% 9.01/6.94 tff(33742,plain,
% 9.01/6.94 (~v191(constB92)),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33741, 33740, 33520])).
% 9.01/6.94 tff(33743,plain,
% 9.01/6.94 ((~(v193(constB93) <=> v191(constB92))) | (~v193(constB93)) | v191(constB92)),
% 9.01/6.94 inference(tautology,[status(thm)],[])).
% 9.01/6.94 tff(33744,plain,
% 9.01/6.94 (~v193(constB93)),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33743, 33742, 33518])).
% 9.01/6.94 tff(33745,plain,
% 9.01/6.94 ($false),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33744, 33514])).
% 9.01/6.94 tff(33746,plain,(~(constB93 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.01/6.94 tff(33747,assumption,(constB107 = VarCurr!0), introduced(assumption)).
% 9.01/6.94 tff(33748,plain,
% 9.01/6.94 (v193(constB107) <=> v193(VarCurr!0)),
% 9.01/6.94 inference(monotonicity,[status(thm)],[33747])).
% 9.01/6.94 tff(33749,plain,
% 9.01/6.94 (v193(VarCurr!0) <=> v193(constB107)),
% 9.01/6.94 inference(symmetry,[status(thm)],[33748])).
% 9.01/6.94 tff(33750,plain,
% 9.01/6.94 (v193(constB107)),
% 9.01/6.94 inference(modus_ponens,[status(thm)],[59, 33749])).
% 9.01/6.94 tff(33751,plain,
% 9.01/6.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB106, constB107)) | (v193(constB107) <=> v191(constB106)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB106, constB107)) | (v193(constB107) <=> v191(constB106)))),
% 9.01/6.94 inference(rewrite,[status(thm)],[])).
% 9.01/6.94 tff(33752,plain,
% 9.01/6.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB106, constB107)) | (v193(constB107) <=> v191(constB106)))),
% 9.01/6.94 inference(quant_inst,[status(thm)],[])).
% 9.01/6.94 tff(33753,plain,
% 9.01/6.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB106, constB107)) | (v193(constB107) <=> v191(constB106))),
% 9.01/6.94 inference(modus_ponens,[status(thm)],[33752, 33751])).
% 9.01/6.94 tff(33754,plain,
% 9.01/6.94 (v193(constB107) <=> v191(constB106)),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33753, 10617, 70])).
% 9.01/6.94 tff(33755,plain,
% 9.01/6.94 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB106) <=> (v194(constB106) | v198(constB106)))),
% 9.01/6.94 inference(quant_inst,[status(thm)],[])).
% 9.01/6.94 tff(33756,plain,
% 9.01/6.94 (v191(constB106) <=> (v194(constB106) | v198(constB106))),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33755, 84])).
% 9.01/6.94 tff(33757,plain,
% 9.01/6.94 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB106) <=> (~((~v199(constB106)) | (~v200(constB106)))))),
% 9.01/6.94 inference(quant_inst,[status(thm)],[])).
% 9.01/6.94 tff(33758,plain,
% 9.01/6.94 (v198(constB106) <=> (~((~v199(constB106)) | (~v200(constB106))))),
% 9.01/6.94 inference(unit_resolution,[status(thm)],[33757, 96])).
% 9.01/6.94 tff(33759,plain,
% 9.01/6.94 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB106) <=> (~((~v197(constB106)) | (~v201(constB106)))))),
% 9.01/6.94 inference(quant_inst,[status(thm)],[])).
% 9.01/6.94 tff(33760,plain,
% 9.01/6.94 (v200(constB106) <=> (~((~v197(constB106)) | (~v201(constB106))))),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33759, 108])).
% 9.01/6.95 tff(33761,plain,
% 9.01/6.95 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB106) <=> (~((~v39(constB106)) | (~v9(constB106)))))),
% 9.01/6.95 inference(quant_inst,[status(thm)],[])).
% 9.01/6.95 tff(33762,plain,
% 9.01/6.95 (v197(constB106) <=> (~((~v39(constB106)) | (~v9(constB106))))),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33761, 120])).
% 9.01/6.95 tff(33763,plain,
% 9.01/6.95 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB106)) <=> v1(constB106))),
% 9.01/6.95 inference(quant_inst,[status(thm)],[])).
% 9.01/6.95 tff(33764,plain,
% 9.01/6.95 ((~v39(constB106)) <=> v1(constB106)),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33763, 129])).
% 9.01/6.95 tff(33765,plain,
% 9.01/6.95 ((~((~v39(constB106)) <=> v1(constB106))) | (~v39(constB106)) | (~v1(constB106))),
% 9.01/6.95 inference(tautology,[status(thm)],[])).
% 9.01/6.95 tff(33766,plain,
% 9.01/6.95 ((~((~v39(constB106)) <=> v1(constB106))) | (~v39(constB106))),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33765, 13409])).
% 9.01/6.95 tff(33767,plain,
% 9.01/6.95 (~v39(constB106)),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33766, 33764])).
% 9.01/6.95 tff(33768,plain,
% 9.01/6.95 (((~v39(constB106)) | (~v9(constB106))) | v39(constB106)),
% 9.01/6.95 inference(tautology,[status(thm)],[])).
% 9.01/6.95 tff(33769,plain,
% 9.01/6.95 ((~v39(constB106)) | (~v9(constB106))),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33768, 33767])).
% 9.01/6.95 tff(33770,plain,
% 9.01/6.95 ((~(v197(constB106) <=> (~((~v39(constB106)) | (~v9(constB106)))))) | (~v197(constB106)) | (~((~v39(constB106)) | (~v9(constB106))))),
% 9.01/6.95 inference(tautology,[status(thm)],[])).
% 9.01/6.95 tff(33771,plain,
% 9.01/6.95 ((~(v197(constB106) <=> (~((~v39(constB106)) | (~v9(constB106)))))) | (~v197(constB106))),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33770, 33769])).
% 9.01/6.95 tff(33772,plain,
% 9.01/6.95 (~v197(constB106)),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33771, 33762])).
% 9.01/6.95 tff(33773,plain,
% 9.01/6.95 (((~v197(constB106)) | (~v201(constB106))) | v197(constB106)),
% 9.01/6.95 inference(tautology,[status(thm)],[])).
% 9.01/6.95 tff(33774,plain,
% 9.01/6.95 ((~v197(constB106)) | (~v201(constB106))),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33773, 33772])).
% 9.01/6.95 tff(33775,plain,
% 9.01/6.95 ((~(v200(constB106) <=> (~((~v197(constB106)) | (~v201(constB106)))))) | (~v200(constB106)) | (~((~v197(constB106)) | (~v201(constB106))))),
% 9.01/6.95 inference(tautology,[status(thm)],[])).
% 9.01/6.95 tff(33776,plain,
% 9.01/6.95 ((~(v200(constB106) <=> (~((~v197(constB106)) | (~v201(constB106)))))) | (~v200(constB106))),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33775, 33774])).
% 9.01/6.95 tff(33777,plain,
% 9.01/6.95 (~v200(constB106)),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33776, 33760])).
% 9.01/6.95 tff(33778,plain,
% 9.01/6.95 (((~v199(constB106)) | (~v200(constB106))) | v200(constB106)),
% 9.01/6.95 inference(tautology,[status(thm)],[])).
% 9.01/6.95 tff(33779,plain,
% 9.01/6.95 ((~v199(constB106)) | (~v200(constB106))),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33778, 33777])).
% 9.01/6.95 tff(33780,plain,
% 9.01/6.95 ((~(v198(constB106) <=> (~((~v199(constB106)) | (~v200(constB106)))))) | (~v198(constB106)) | (~((~v199(constB106)) | (~v200(constB106))))),
% 9.01/6.95 inference(tautology,[status(thm)],[])).
% 9.01/6.95 tff(33781,plain,
% 9.01/6.95 (~v198(constB106)),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33780, 33779, 33758])).
% 9.01/6.95 tff(33782,plain,
% 9.01/6.95 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB106) <=> (~((~v157(constB106)) | (~v195(constB106)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB106) <=> (~((~v157(constB106)) | (~v195(constB106))))))),
% 9.01/6.95 inference(rewrite,[status(thm)],[])).
% 9.01/6.95 tff(33783,plain,
% 9.01/6.95 ((v194(constB106) <=> (~((~v195(constB106)) | (~v157(constB106))))) <=> (v194(constB106) <=> (~((~v157(constB106)) | (~v195(constB106)))))),
% 9.01/6.95 inference(rewrite,[status(thm)],[])).
% 9.01/6.95 tff(33784,plain,
% 9.01/6.95 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB106) <=> (~((~v195(constB106)) | (~v157(constB106)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB106) <=> (~((~v157(constB106)) | (~v195(constB106))))))),
% 9.01/6.95 inference(monotonicity,[status(thm)],[33783])).
% 9.01/6.95 tff(33785,plain,
% 9.01/6.95 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB106) <=> (~((~v195(constB106)) | (~v157(constB106)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB106) <=> (~((~v157(constB106)) | (~v195(constB106))))))),
% 9.01/6.95 inference(transitivity,[status(thm)],[33784, 33782])).
% 9.01/6.95 tff(33786,plain,
% 9.01/6.95 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB106) <=> (~((~v195(constB106)) | (~v157(constB106)))))),
% 9.01/6.95 inference(quant_inst,[status(thm)],[])).
% 9.01/6.95 tff(33787,plain,
% 9.01/6.95 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB106) <=> (~((~v157(constB106)) | (~v195(constB106)))))),
% 9.01/6.95 inference(modus_ponens,[status(thm)],[33786, 33785])).
% 9.01/6.95 tff(33788,plain,
% 9.01/6.95 (v194(constB106) <=> (~((~v157(constB106)) | (~v195(constB106))))),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33787, 161])).
% 9.01/6.95 tff(33789,plain,
% 9.01/6.95 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB106) <=> v193(constB106))),
% 9.01/6.95 inference(quant_inst,[status(thm)],[])).
% 9.01/6.95 tff(33790,plain,
% 9.01/6.95 (v157(constB106) <=> v193(constB106)),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33789, 13])).
% 9.01/6.95 tff(33791,plain,
% 9.01/6.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB105, constB106)) | (v193(constB106) <=> v191(constB105)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB105, constB106)) | (v193(constB106) <=> v191(constB105)))),
% 9.01/6.95 inference(rewrite,[status(thm)],[])).
% 9.01/6.95 tff(33792,plain,
% 9.01/6.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB105, constB106)) | (v193(constB106) <=> v191(constB105)))),
% 9.01/6.95 inference(quant_inst,[status(thm)],[])).
% 9.01/6.95 tff(33793,plain,
% 9.01/6.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB105, constB106)) | (v193(constB106) <=> v191(constB105))),
% 9.01/6.95 inference(modus_ponens,[status(thm)],[33792, 33791])).
% 9.01/6.95 tff(33794,plain,
% 9.01/6.95 (v193(constB106) <=> v191(constB105)),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33793, 10653, 70])).
% 9.01/6.95 tff(33795,plain,
% 9.01/6.95 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB105) <=> (v194(constB105) | v198(constB105)))),
% 9.01/6.95 inference(quant_inst,[status(thm)],[])).
% 9.01/6.95 tff(33796,plain,
% 9.01/6.95 (v191(constB105) <=> (v194(constB105) | v198(constB105))),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33795, 84])).
% 9.01/6.95 tff(33797,plain,
% 9.01/6.95 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB105) <=> (~((~v157(constB105)) | (~v195(constB105)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB105) <=> (~((~v157(constB105)) | (~v195(constB105))))))),
% 9.01/6.95 inference(rewrite,[status(thm)],[])).
% 9.01/6.95 tff(33798,plain,
% 9.01/6.95 ((v194(constB105) <=> (~((~v195(constB105)) | (~v157(constB105))))) <=> (v194(constB105) <=> (~((~v157(constB105)) | (~v195(constB105)))))),
% 9.01/6.95 inference(rewrite,[status(thm)],[])).
% 9.01/6.95 tff(33799,plain,
% 9.01/6.95 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB105) <=> (~((~v195(constB105)) | (~v157(constB105)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB105) <=> (~((~v157(constB105)) | (~v195(constB105))))))),
% 9.01/6.95 inference(monotonicity,[status(thm)],[33798])).
% 9.01/6.95 tff(33800,plain,
% 9.01/6.95 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB105) <=> (~((~v195(constB105)) | (~v157(constB105)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB105) <=> (~((~v157(constB105)) | (~v195(constB105))))))),
% 9.01/6.95 inference(transitivity,[status(thm)],[33799, 33797])).
% 9.01/6.95 tff(33801,plain,
% 9.01/6.95 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB105) <=> (~((~v195(constB105)) | (~v157(constB105)))))),
% 9.01/6.95 inference(quant_inst,[status(thm)],[])).
% 9.01/6.95 tff(33802,plain,
% 9.01/6.95 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB105) <=> (~((~v157(constB105)) | (~v195(constB105)))))),
% 9.01/6.95 inference(modus_ponens,[status(thm)],[33801, 33800])).
% 9.01/6.95 tff(33803,plain,
% 9.01/6.95 (v194(constB105) <=> (~((~v157(constB105)) | (~v195(constB105))))),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33802, 161])).
% 9.01/6.95 tff(33804,plain,
% 9.01/6.95 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB105)) <=> v196(constB105))),
% 9.01/6.95 inference(quant_inst,[status(thm)],[])).
% 9.01/6.95 tff(33805,plain,
% 9.01/6.95 ((~v195(constB105)) <=> v196(constB105)),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33804, 193])).
% 9.01/6.95 tff(33806,plain,
% 9.01/6.95 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB105) <=> (v197(constB105) | v26(constB105)))),
% 9.01/6.95 inference(quant_inst,[status(thm)],[])).
% 9.01/6.95 tff(33807,plain,
% 9.01/6.95 (v196(constB105) <=> (v197(constB105) | v26(constB105))),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33806, 202])).
% 9.01/6.95 tff(33808,plain,
% 9.01/6.95 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB105) <=> (~((~v39(constB105)) | (~v9(constB105)))))),
% 9.01/6.95 inference(quant_inst,[status(thm)],[])).
% 9.01/6.95 tff(33809,plain,
% 9.01/6.95 (v197(constB105) <=> (~((~v39(constB105)) | (~v9(constB105))))),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33808, 120])).
% 9.01/6.95 tff(33810,plain,
% 9.01/6.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB105, constB106)) | (v13(constB106) <=> v9(constB105)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB105, constB106)) | (v13(constB106) <=> v9(constB105)))),
% 9.01/6.95 inference(rewrite,[status(thm)],[])).
% 9.01/6.95 tff(33811,plain,
% 9.01/6.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB105, constB106)) | (v13(constB106) <=> v9(constB105)))),
% 9.01/6.95 inference(quant_inst,[status(thm)],[])).
% 9.01/6.95 tff(33812,plain,
% 9.01/6.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB105, constB106)) | (v13(constB106) <=> v9(constB105))),
% 9.01/6.95 inference(modus_ponens,[status(thm)],[33811, 33810])).
% 9.01/6.95 tff(33813,plain,
% 9.01/6.95 (v13(constB106) <=> v9(constB105)),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33812, 10653, 216])).
% 9.01/6.95 tff(33814,plain,
% 9.01/6.95 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB106) <=> v13(constB106))),
% 9.01/6.95 inference(quant_inst,[status(thm)],[])).
% 9.01/6.95 tff(33815,plain,
% 9.01/6.95 (v6(constB106) <=> v13(constB106)),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33814, 230])).
% 9.01/6.95 tff(33816,plain,
% 9.01/6.95 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB106)) <=> v6(constB106))),
% 9.01/6.95 inference(quant_inst,[status(thm)],[])).
% 9.01/6.95 tff(33817,plain,
% 9.01/6.95 ((~v21(constB106)) <=> v6(constB106)),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33816, 239])).
% 9.01/6.95 tff(33818,plain,
% 9.01/6.95 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB106) <=> (v20(constB106) | v21(constB106)))),
% 9.01/6.95 inference(quant_inst,[status(thm)],[])).
% 9.01/6.95 tff(33819,plain,
% 9.01/6.95 (v19(constB106) <=> (v20(constB106) | v21(constB106))),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33818, 248])).
% 9.01/6.95 tff(33820,plain,
% 9.01/6.95 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB106) <=> (~((~v19(constB106)) | (~v22(constB106)))))),
% 9.01/6.95 inference(quant_inst,[status(thm)],[])).
% 9.01/6.95 tff(33821,plain,
% 9.01/6.95 (v18(constB106) <=> (~((~v19(constB106)) | (~v22(constB106))))),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33820, 260])).
% 9.01/6.95 tff(33822,plain,
% 9.01/6.95 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB106)) <=> v18(constB106))),
% 9.01/6.95 inference(quant_inst,[status(thm)],[])).
% 9.01/6.95 tff(33823,plain,
% 9.01/6.95 ((~v4(constB106)) <=> v18(constB106)),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33822, 269])).
% 9.01/6.95 tff(33824,plain,
% 9.01/6.95 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB106)),
% 9.01/6.95 inference(quant_inst,[status(thm)],[])).
% 9.01/6.95 tff(33825,plain,
% 9.01/6.95 (v4(constB106)),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33824, 278])).
% 9.01/6.95 tff(33826,plain,
% 9.01/6.95 ((~((~v4(constB106)) <=> v18(constB106))) | (~v4(constB106)) | (~v18(constB106))),
% 9.01/6.95 inference(tautology,[status(thm)],[])).
% 9.01/6.95 tff(33827,plain,
% 9.01/6.95 (~v18(constB106)),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33826, 33825, 33823])).
% 9.01/6.95 tff(33828,plain,
% 9.01/6.95 ((~(v18(constB106) <=> (~((~v19(constB106)) | (~v22(constB106)))))) | v18(constB106) | ((~v19(constB106)) | (~v22(constB106)))),
% 9.01/6.95 inference(tautology,[status(thm)],[])).
% 9.01/6.95 tff(33829,plain,
% 9.01/6.95 ((~v19(constB106)) | (~v22(constB106))),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33828, 33827, 33821])).
% 9.01/6.95 tff(33830,plain,
% 9.01/6.95 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB106) <=> (v1(constB106) | v6(constB106)))),
% 9.01/6.95 inference(quant_inst,[status(thm)],[])).
% 9.01/6.95 tff(33831,plain,
% 9.01/6.95 (v22(constB106) <=> (v1(constB106) | v6(constB106))),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33830, 291])).
% 9.01/6.95 tff(33832,plain,
% 9.01/6.95 ((v1(constB106) | v6(constB106)) | (~v1(constB106))),
% 9.01/6.95 inference(tautology,[status(thm)],[])).
% 9.01/6.95 tff(33833,plain,
% 9.01/6.95 (v1(constB106) | v6(constB106)),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33832, 13409])).
% 9.01/6.95 tff(33834,plain,
% 9.01/6.95 ((~(v22(constB106) <=> (v1(constB106) | v6(constB106)))) | v22(constB106) | (~(v1(constB106) | v6(constB106)))),
% 9.01/6.95 inference(tautology,[status(thm)],[])).
% 9.01/6.95 tff(33835,plain,
% 9.01/6.95 ((~(v22(constB106) <=> (v1(constB106) | v6(constB106)))) | v22(constB106)),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33834, 33833])).
% 9.01/6.95 tff(33836,plain,
% 9.01/6.95 (v22(constB106)),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33835, 33831])).
% 9.01/6.95 tff(33837,plain,
% 9.01/6.95 ((~((~v19(constB106)) | (~v22(constB106)))) | (~v19(constB106)) | (~v22(constB106))),
% 9.01/6.95 inference(tautology,[status(thm)],[])).
% 9.01/6.95 tff(33838,plain,
% 9.01/6.95 ((~((~v19(constB106)) | (~v22(constB106)))) | (~v19(constB106))),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33837, 33836])).
% 9.01/6.95 tff(33839,plain,
% 9.01/6.95 (~v19(constB106)),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33838, 33829])).
% 9.01/6.95 tff(33840,plain,
% 9.01/6.95 ((~(v19(constB106) <=> (v20(constB106) | v21(constB106)))) | v19(constB106) | (~(v20(constB106) | v21(constB106)))),
% 9.01/6.95 inference(tautology,[status(thm)],[])).
% 9.01/6.95 tff(33841,plain,
% 9.01/6.95 (~(v20(constB106) | v21(constB106))),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33840, 33839, 33819])).
% 9.01/6.95 tff(33842,plain,
% 9.01/6.95 ((v20(constB106) | v21(constB106)) | (~v21(constB106))),
% 9.01/6.95 inference(tautology,[status(thm)],[])).
% 9.01/6.95 tff(33843,plain,
% 9.01/6.95 (~v21(constB106)),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33842, 33841])).
% 9.01/6.95 tff(33844,plain,
% 9.01/6.95 ((~((~v21(constB106)) <=> v6(constB106))) | v21(constB106) | v6(constB106)),
% 9.01/6.95 inference(tautology,[status(thm)],[])).
% 9.01/6.95 tff(33845,plain,
% 9.01/6.95 (v6(constB106)),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33844, 33843, 33817])).
% 9.01/6.95 tff(33846,plain,
% 9.01/6.95 ((~(v6(constB106) <=> v13(constB106))) | (~v6(constB106)) | v13(constB106)),
% 9.01/6.95 inference(tautology,[status(thm)],[])).
% 9.01/6.95 tff(33847,plain,
% 9.01/6.95 (v13(constB106)),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33846, 33845, 33815])).
% 9.01/6.95 tff(33848,plain,
% 9.01/6.95 ((~(v13(constB106) <=> v9(constB105))) | (~v13(constB106)) | v9(constB105)),
% 9.01/6.95 inference(tautology,[status(thm)],[])).
% 9.01/6.95 tff(33849,plain,
% 9.01/6.95 (v9(constB105)),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33848, 33847, 33813])).
% 9.01/6.95 tff(33850,plain,
% 9.01/6.95 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB105)) <=> v1(constB105))),
% 9.01/6.95 inference(quant_inst,[status(thm)],[])).
% 9.01/6.95 tff(33851,plain,
% 9.01/6.95 ((~v39(constB105)) <=> v1(constB105)),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33850, 129])).
% 9.01/6.95 tff(33852,plain,
% 9.01/6.95 ((~((~v39(constB105)) <=> v1(constB105))) | v39(constB105) | v1(constB105)),
% 9.01/6.95 inference(tautology,[status(thm)],[])).
% 9.01/6.95 tff(33853,plain,
% 9.01/6.95 ((~((~v39(constB105)) <=> v1(constB105))) | v39(constB105)),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33852, 10692])).
% 9.01/6.95 tff(33854,plain,
% 9.01/6.95 (v39(constB105)),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33853, 33851])).
% 9.01/6.95 tff(33855,plain,
% 9.01/6.95 ((~((~v39(constB105)) | (~v9(constB105)))) | (~v39(constB105)) | (~v9(constB105))),
% 9.01/6.95 inference(tautology,[status(thm)],[])).
% 9.01/6.95 tff(33856,plain,
% 9.01/6.95 ((~((~v39(constB105)) | (~v9(constB105)))) | (~v9(constB105))),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33855, 33854])).
% 9.01/6.95 tff(33857,plain,
% 9.01/6.95 (~((~v39(constB105)) | (~v9(constB105)))),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33856, 33849])).
% 9.01/6.95 tff(33858,plain,
% 9.01/6.95 ((~(v197(constB105) <=> (~((~v39(constB105)) | (~v9(constB105)))))) | v197(constB105) | ((~v39(constB105)) | (~v9(constB105)))),
% 9.01/6.95 inference(tautology,[status(thm)],[])).
% 9.01/6.95 tff(33859,plain,
% 9.01/6.95 (v197(constB105)),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33858, 33857, 33809])).
% 9.01/6.95 tff(33860,plain,
% 9.01/6.95 ((v197(constB105) | v26(constB105)) | (~v197(constB105))),
% 9.01/6.95 inference(tautology,[status(thm)],[])).
% 9.01/6.95 tff(33861,plain,
% 9.01/6.95 (v197(constB105) | v26(constB105)),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33860, 33859])).
% 9.01/6.95 tff(33862,plain,
% 9.01/6.95 ((~(v196(constB105) <=> (v197(constB105) | v26(constB105)))) | v196(constB105) | (~(v197(constB105) | v26(constB105)))),
% 9.01/6.95 inference(tautology,[status(thm)],[])).
% 9.01/6.95 tff(33863,plain,
% 9.01/6.95 (v196(constB105)),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33862, 33861, 33807])).
% 9.01/6.95 tff(33864,plain,
% 9.01/6.95 ((~((~v195(constB105)) <=> v196(constB105))) | (~v195(constB105)) | (~v196(constB105))),
% 9.01/6.95 inference(tautology,[status(thm)],[])).
% 9.01/6.95 tff(33865,plain,
% 9.01/6.95 (~v195(constB105)),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33864, 33863, 33805])).
% 9.01/6.95 tff(33866,plain,
% 9.01/6.95 (((~v157(constB105)) | (~v195(constB105))) | v195(constB105)),
% 9.01/6.95 inference(tautology,[status(thm)],[])).
% 9.01/6.95 tff(33867,plain,
% 9.01/6.95 ((~v157(constB105)) | (~v195(constB105))),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33866, 33865])).
% 9.01/6.95 tff(33868,plain,
% 9.01/6.95 ((~(v194(constB105) <=> (~((~v157(constB105)) | (~v195(constB105)))))) | (~v194(constB105)) | (~((~v157(constB105)) | (~v195(constB105))))),
% 9.01/6.95 inference(tautology,[status(thm)],[])).
% 9.01/6.95 tff(33869,plain,
% 9.01/6.95 (~v194(constB105)),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33868, 33867, 33803])).
% 9.01/6.95 tff(33870,plain,
% 9.01/6.95 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB105) <=> (~((~v199(constB105)) | (~v200(constB105)))))),
% 9.01/6.95 inference(quant_inst,[status(thm)],[])).
% 9.01/6.95 tff(33871,plain,
% 9.01/6.95 (v198(constB105) <=> (~((~v199(constB105)) | (~v200(constB105))))),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33870, 96])).
% 9.01/6.95 tff(33872,plain,
% 9.01/6.95 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB105) <=> (~((~v197(constB105)) | (~v201(constB105)))))),
% 9.01/6.95 inference(quant_inst,[status(thm)],[])).
% 9.01/6.95 tff(33873,plain,
% 9.01/6.95 (v200(constB105) <=> (~((~v197(constB105)) | (~v201(constB105))))),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33872, 108])).
% 9.01/6.95 tff(33874,plain,
% 9.01/6.95 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB105) <=> (~((~v159(constB105)) | (~v161(constB105)))))),
% 9.01/6.95 inference(quant_inst,[status(thm)],[])).
% 9.01/6.95 tff(33875,plain,
% 9.01/6.95 (v201(constB105) <=> (~((~v159(constB105)) | (~v161(constB105))))),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33874, 348])).
% 9.01/6.95 tff(33876,plain,
% 9.01/6.95 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB105) <=> v163(constB105))),
% 9.01/6.95 inference(quant_inst,[status(thm)],[])).
% 9.01/6.95 tff(33877,plain,
% 9.01/6.95 (v161(constB105) <=> v163(constB105)),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33876, 357])).
% 9.01/6.95 tff(33878,plain,
% 9.01/6.95 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB105) <=> (v145(constB105) | v167(constB105)))),
% 9.01/6.95 inference(quant_inst,[status(thm)],[])).
% 9.01/6.95 tff(33879,plain,
% 9.01/6.95 (v166(constB105) <=> (v145(constB105) | v167(constB105))),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33878, 369])).
% 9.01/6.95 tff(33880,plain,
% 9.01/6.95 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB105) <=> (v142(constB105) | v168(constB105)))),
% 9.01/6.95 inference(quant_inst,[status(thm)],[])).
% 9.01/6.95 tff(33881,plain,
% 9.01/6.95 (v167(constB105) <=> (v142(constB105) | v168(constB105))),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33880, 381])).
% 9.01/6.95 tff(33882,plain,
% 9.01/6.95 ((v142(constB105) | v168(constB105)) | (~v142(constB105))),
% 9.01/6.95 inference(tautology,[status(thm)],[])).
% 9.01/6.95 tff(33883,plain,
% 9.01/6.95 (v142(constB105) | v168(constB105)),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33882, 32593])).
% 9.01/6.95 tff(33884,plain,
% 9.01/6.95 ((~(v167(constB105) <=> (v142(constB105) | v168(constB105)))) | v167(constB105) | (~(v142(constB105) | v168(constB105)))),
% 9.01/6.95 inference(tautology,[status(thm)],[])).
% 9.01/6.95 tff(33885,plain,
% 9.01/6.95 ((~(v167(constB105) <=> (v142(constB105) | v168(constB105)))) | v167(constB105)),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33884, 33883])).
% 9.01/6.95 tff(33886,plain,
% 9.01/6.95 (v167(constB105)),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33885, 33881])).
% 9.01/6.95 tff(33887,plain,
% 9.01/6.95 ((v145(constB105) | v167(constB105)) | (~v167(constB105))),
% 9.01/6.95 inference(tautology,[status(thm)],[])).
% 9.01/6.95 tff(33888,plain,
% 9.01/6.95 (v145(constB105) | v167(constB105)),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33887, 33886])).
% 9.01/6.95 tff(33889,plain,
% 9.01/6.95 ((~(v166(constB105) <=> (v145(constB105) | v167(constB105)))) | v166(constB105) | (~(v145(constB105) | v167(constB105)))),
% 9.01/6.95 inference(tautology,[status(thm)],[])).
% 9.01/6.95 tff(33890,plain,
% 9.01/6.95 (v166(constB105)),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33889, 33888, 33879])).
% 9.01/6.95 tff(33891,plain,
% 9.01/6.95 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB105)) | (v163(constB105) <=> v170(constB105)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB105)) | (v163(constB105) <=> v170(constB105)))),
% 9.01/6.95 inference(rewrite,[status(thm)],[])).
% 9.01/6.95 tff(33892,plain,
% 9.01/6.95 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB105)) | (v163(constB105) <=> v170(constB105)))),
% 9.01/6.95 inference(quant_inst,[status(thm)],[])).
% 9.01/6.95 tff(33893,plain,
% 9.01/6.95 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB105)) | (v163(constB105) <=> v170(constB105))),
% 9.01/6.95 inference(modus_ponens,[status(thm)],[33892, 33891])).
% 9.01/6.95 tff(33894,plain,
% 9.01/6.95 ((~v166(constB105)) | (v163(constB105) <=> v170(constB105))),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33893, 9851])).
% 9.01/6.95 tff(33895,plain,
% 9.01/6.95 (v163(constB105) <=> v170(constB105)),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33894, 33890])).
% 9.01/6.95 tff(33896,plain,
% 9.01/6.95 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB105) <=> (v142(constB105) | v150(constB105)))),
% 9.01/6.95 inference(quant_inst,[status(thm)],[])).
% 9.01/6.95 tff(33897,plain,
% 9.01/6.95 (v171(constB105) <=> (v142(constB105) | v150(constB105))),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33896, 9866])).
% 9.01/6.95 tff(33898,plain,
% 9.01/6.95 ((v142(constB105) | v150(constB105)) | (~v142(constB105))),
% 9.01/6.95 inference(tautology,[status(thm)],[])).
% 9.01/6.95 tff(33899,plain,
% 9.01/6.95 (v142(constB105) | v150(constB105)),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33898, 32593])).
% 9.01/6.95 tff(33900,plain,
% 9.01/6.95 ((~(v171(constB105) <=> (v142(constB105) | v150(constB105)))) | v171(constB105) | (~(v142(constB105) | v150(constB105)))),
% 9.01/6.95 inference(tautology,[status(thm)],[])).
% 9.01/6.95 tff(33901,plain,
% 9.01/6.95 ((~(v171(constB105) <=> (v142(constB105) | v150(constB105)))) | v171(constB105)),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33900, 33899])).
% 9.01/6.95 tff(33902,plain,
% 9.01/6.95 (v171(constB105)),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33901, 33897])).
% 9.01/6.95 tff(33903,plain,
% 9.01/6.95 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB105)) | (~v171(constB105)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB105)) | (~v171(constB105)))),
% 9.01/6.95 inference(rewrite,[status(thm)],[])).
% 9.01/6.95 tff(33904,plain,
% 9.01/6.95 (((~v171(constB105)) | (~v170(constB105))) <=> ((~v170(constB105)) | (~v171(constB105)))),
% 9.01/6.95 inference(rewrite,[status(thm)],[])).
% 9.01/6.95 tff(33905,plain,
% 9.01/6.95 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB105)) | (~v170(constB105)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB105)) | (~v171(constB105))))),
% 9.01/6.95 inference(monotonicity,[status(thm)],[33904])).
% 9.01/6.95 tff(33906,plain,
% 9.01/6.95 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB105)) | (~v170(constB105)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB105)) | (~v171(constB105)))),
% 9.01/6.95 inference(transitivity,[status(thm)],[33905, 33903])).
% 9.01/6.95 tff(33907,plain,
% 9.01/6.95 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB105)) | (~v170(constB105)))),
% 9.01/6.95 inference(quant_inst,[status(thm)],[])).
% 9.01/6.95 tff(33908,plain,
% 9.01/6.95 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB105)) | (~v171(constB105))),
% 9.01/6.95 inference(modus_ponens,[status(thm)],[33907, 33906])).
% 9.01/6.95 tff(33909,plain,
% 9.01/6.95 (~v170(constB105)),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33908, 9899, 33902])).
% 9.01/6.95 tff(33910,plain,
% 9.01/6.95 ((~(v163(constB105) <=> v170(constB105))) | (~v163(constB105)) | v170(constB105)),
% 9.01/6.95 inference(tautology,[status(thm)],[])).
% 9.01/6.95 tff(33911,plain,
% 9.01/6.95 (~v163(constB105)),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33910, 33909, 33895])).
% 9.01/6.95 tff(33912,plain,
% 9.01/6.95 ((~(v161(constB105) <=> v163(constB105))) | (~v161(constB105)) | v163(constB105)),
% 9.01/6.95 inference(tautology,[status(thm)],[])).
% 9.01/6.95 tff(33913,plain,
% 9.01/6.95 (~v161(constB105)),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33912, 33911, 33877])).
% 9.01/6.95 tff(33914,plain,
% 9.01/6.95 (((~v159(constB105)) | (~v161(constB105))) | v161(constB105)),
% 9.01/6.95 inference(tautology,[status(thm)],[])).
% 9.01/6.95 tff(33915,plain,
% 9.01/6.95 ((~v159(constB105)) | (~v161(constB105))),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33914, 33913])).
% 9.01/6.95 tff(33916,plain,
% 9.01/6.95 ((~(v201(constB105) <=> (~((~v159(constB105)) | (~v161(constB105)))))) | (~v201(constB105)) | (~((~v159(constB105)) | (~v161(constB105))))),
% 9.01/6.95 inference(tautology,[status(thm)],[])).
% 9.01/6.95 tff(33917,plain,
% 9.01/6.95 (~v201(constB105)),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33916, 33915, 33875])).
% 9.01/6.95 tff(33918,plain,
% 9.01/6.95 (((~v197(constB105)) | (~v201(constB105))) | v201(constB105)),
% 9.01/6.95 inference(tautology,[status(thm)],[])).
% 9.01/6.95 tff(33919,plain,
% 9.01/6.95 ((~v197(constB105)) | (~v201(constB105))),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33918, 33917])).
% 9.01/6.95 tff(33920,plain,
% 9.01/6.95 ((~(v200(constB105) <=> (~((~v197(constB105)) | (~v201(constB105)))))) | (~v200(constB105)) | (~((~v197(constB105)) | (~v201(constB105))))),
% 9.01/6.95 inference(tautology,[status(thm)],[])).
% 9.01/6.95 tff(33921,plain,
% 9.01/6.95 (~v200(constB105)),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33920, 33919, 33873])).
% 9.01/6.95 tff(33922,plain,
% 9.01/6.95 (((~v199(constB105)) | (~v200(constB105))) | v200(constB105)),
% 9.01/6.95 inference(tautology,[status(thm)],[])).
% 9.01/6.95 tff(33923,plain,
% 9.01/6.95 ((~v199(constB105)) | (~v200(constB105))),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33922, 33921])).
% 9.01/6.95 tff(33924,plain,
% 9.01/6.95 ((~(v198(constB105) <=> (~((~v199(constB105)) | (~v200(constB105)))))) | (~v198(constB105)) | (~((~v199(constB105)) | (~v200(constB105))))),
% 9.01/6.95 inference(tautology,[status(thm)],[])).
% 9.01/6.95 tff(33925,plain,
% 9.01/6.95 (~v198(constB105)),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33924, 33923, 33871])).
% 9.01/6.95 tff(33926,plain,
% 9.01/6.95 ((~(v194(constB105) | v198(constB105))) | v194(constB105) | v198(constB105)),
% 9.01/6.95 inference(tautology,[status(thm)],[])).
% 9.01/6.95 tff(33927,plain,
% 9.01/6.95 (~(v194(constB105) | v198(constB105))),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33926, 33925, 33869])).
% 9.01/6.95 tff(33928,plain,
% 9.01/6.95 ((~(v191(constB105) <=> (v194(constB105) | v198(constB105)))) | (~v191(constB105)) | (v194(constB105) | v198(constB105))),
% 9.01/6.95 inference(tautology,[status(thm)],[])).
% 9.01/6.95 tff(33929,plain,
% 9.01/6.95 (~v191(constB105)),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33928, 33927, 33796])).
% 9.01/6.95 tff(33930,plain,
% 9.01/6.95 ((~(v193(constB106) <=> v191(constB105))) | (~v193(constB106)) | v191(constB105)),
% 9.01/6.95 inference(tautology,[status(thm)],[])).
% 9.01/6.95 tff(33931,plain,
% 9.01/6.95 (~v193(constB106)),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33930, 33929, 33794])).
% 9.01/6.95 tff(33932,plain,
% 9.01/6.95 ((~(v157(constB106) <=> v193(constB106))) | (~v157(constB106)) | v193(constB106)),
% 9.01/6.95 inference(tautology,[status(thm)],[])).
% 9.01/6.95 tff(33933,plain,
% 9.01/6.95 (~v157(constB106)),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33932, 33931, 33790])).
% 9.01/6.95 tff(33934,plain,
% 9.01/6.95 (((~v157(constB106)) | (~v195(constB106))) | v157(constB106)),
% 9.01/6.95 inference(tautology,[status(thm)],[])).
% 9.01/6.95 tff(33935,plain,
% 9.01/6.95 ((~v157(constB106)) | (~v195(constB106))),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33934, 33933])).
% 9.01/6.95 tff(33936,plain,
% 9.01/6.95 ((~(v194(constB106) <=> (~((~v157(constB106)) | (~v195(constB106)))))) | (~v194(constB106)) | (~((~v157(constB106)) | (~v195(constB106))))),
% 9.01/6.95 inference(tautology,[status(thm)],[])).
% 9.01/6.95 tff(33937,plain,
% 9.01/6.95 (~v194(constB106)),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33936, 33935, 33788])).
% 9.01/6.95 tff(33938,plain,
% 9.01/6.95 ((~(v194(constB106) | v198(constB106))) | v194(constB106) | v198(constB106)),
% 9.01/6.95 inference(tautology,[status(thm)],[])).
% 9.01/6.95 tff(33939,plain,
% 9.01/6.95 (~(v194(constB106) | v198(constB106))),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33938, 33937, 33781])).
% 9.01/6.95 tff(33940,plain,
% 9.01/6.95 ((~(v191(constB106) <=> (v194(constB106) | v198(constB106)))) | (~v191(constB106)) | (v194(constB106) | v198(constB106))),
% 9.01/6.95 inference(tautology,[status(thm)],[])).
% 9.01/6.95 tff(33941,plain,
% 9.01/6.95 (~v191(constB106)),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33940, 33939, 33756])).
% 9.01/6.95 tff(33942,plain,
% 9.01/6.95 ((~(v193(constB107) <=> v191(constB106))) | (~v193(constB107)) | v191(constB106)),
% 9.01/6.95 inference(tautology,[status(thm)],[])).
% 9.01/6.95 tff(33943,plain,
% 9.01/6.95 (~v193(constB107)),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33942, 33941, 33754])).
% 9.01/6.95 tff(33944,plain,
% 9.01/6.95 ($false),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33943, 33750])).
% 9.01/6.95 tff(33945,plain,(~(constB107 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.01/6.95 tff(33946,assumption,(constB39 = VarCurr!0), introduced(assumption)).
% 9.01/6.95 tff(33947,plain,
% 9.01/6.95 (v86(constB39) <=> v86(VarCurr!0)),
% 9.01/6.95 inference(monotonicity,[status(thm)],[33946])).
% 9.01/6.95 tff(33948,plain,
% 9.01/6.95 (v86(VarCurr!0) <=> v86(constB39)),
% 9.01/6.95 inference(symmetry,[status(thm)],[33947])).
% 9.01/6.95 tff(33949,plain,
% 9.01/6.95 ((~v86(VarCurr!0)) <=> (~v86(constB39))),
% 9.01/6.95 inference(monotonicity,[status(thm)],[33948])).
% 9.01/6.95 tff(33950,plain,
% 9.01/6.95 (~v86(constB39)),
% 9.01/6.95 inference(modus_ponens,[status(thm)],[14736, 33949])).
% 9.01/6.95 tff(33951,plain,
% 9.01/6.95 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB39) <=> (v136(constB39) | v145(constB39)))),
% 9.01/6.95 inference(quant_inst,[status(thm)],[])).
% 9.01/6.95 tff(33952,plain,
% 9.01/6.95 (v135(constB39) <=> (v136(constB39) | v145(constB39))),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33951, 14744])).
% 9.01/6.95 tff(33953,plain,
% 9.01/6.95 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB39) <=> (v137(constB39) | v142(constB39)))),
% 9.01/6.95 inference(quant_inst,[status(thm)],[])).
% 9.01/6.95 tff(33954,plain,
% 9.01/6.95 (v136(constB39) <=> (v137(constB39) | v142(constB39))),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33953, 14753])).
% 9.01/6.95 tff(33955,plain,
% 9.01/6.95 ((v137(constB39) | v142(constB39)) | (~v142(constB39))),
% 9.01/6.95 inference(tautology,[status(thm)],[])).
% 9.01/6.95 tff(33956,plain,
% 9.01/6.95 (v137(constB39) | v142(constB39)),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33955, 27742])).
% 9.01/6.95 tff(33957,plain,
% 9.01/6.95 ((~(v136(constB39) <=> (v137(constB39) | v142(constB39)))) | v136(constB39) | (~(v137(constB39) | v142(constB39)))),
% 9.01/6.95 inference(tautology,[status(thm)],[])).
% 9.01/6.95 tff(33958,plain,
% 9.01/6.95 ((~(v136(constB39) <=> (v137(constB39) | v142(constB39)))) | v136(constB39)),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33957, 33956])).
% 9.01/6.95 tff(33959,plain,
% 9.01/6.95 (v136(constB39)),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33958, 33954])).
% 9.01/6.95 tff(33960,plain,
% 9.01/6.95 ((v136(constB39) | v145(constB39)) | (~v136(constB39))),
% 9.01/6.95 inference(tautology,[status(thm)],[])).
% 9.01/6.95 tff(33961,plain,
% 9.01/6.95 (v136(constB39) | v145(constB39)),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33960, 33959])).
% 9.01/6.95 tff(33962,plain,
% 9.01/6.95 ((~(v135(constB39) <=> (v136(constB39) | v145(constB39)))) | v135(constB39) | (~(v136(constB39) | v145(constB39)))),
% 9.01/6.95 inference(tautology,[status(thm)],[])).
% 9.01/6.95 tff(33963,plain,
% 9.01/6.95 (v135(constB39)),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33962, 33961, 33952])).
% 9.01/6.95 tff(33964,plain,
% 9.01/6.95 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB39)) | (v86(constB39) <=> v148(constB39)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB39)) | (v86(constB39) <=> v148(constB39)))),
% 9.01/6.95 inference(rewrite,[status(thm)],[])).
% 9.01/6.95 tff(33965,plain,
% 9.01/6.95 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB39)) | (v86(constB39) <=> v148(constB39)))),
% 9.01/6.95 inference(quant_inst,[status(thm)],[])).
% 9.01/6.95 tff(33966,plain,
% 9.01/6.95 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB39)) | (v86(constB39) <=> v148(constB39))),
% 9.01/6.95 inference(modus_ponens,[status(thm)],[33965, 33964])).
% 9.01/6.95 tff(33967,plain,
% 9.01/6.95 (v86(constB39) <=> v148(constB39)),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33966, 14818, 33963])).
% 9.01/6.95 tff(33968,plain,
% 9.01/6.95 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB39) | (~v142(constB39)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB39) | (~v142(constB39)))),
% 9.01/6.95 inference(rewrite,[status(thm)],[])).
% 9.01/6.95 tff(33969,plain,
% 9.01/6.95 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB39) | (~v142(constB39)))),
% 9.01/6.95 inference(quant_inst,[status(thm)],[])).
% 9.01/6.95 tff(33970,plain,
% 9.01/6.95 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB39) | (~v142(constB39))),
% 9.01/6.95 inference(modus_ponens,[status(thm)],[33969, 33968])).
% 9.01/6.95 tff(33971,plain,
% 9.01/6.95 (v148(constB39)),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33970, 14832, 27742])).
% 9.01/6.95 tff(33972,plain,
% 9.01/6.95 ((~(v86(constB39) <=> v148(constB39))) | v86(constB39) | (~v148(constB39))),
% 9.01/6.95 inference(tautology,[status(thm)],[])).
% 9.01/6.95 tff(33973,plain,
% 9.01/6.95 ((~(v86(constB39) <=> v148(constB39))) | v86(constB39)),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33972, 33971])).
% 9.01/6.95 tff(33974,plain,
% 9.01/6.95 (v86(constB39)),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33973, 33967])).
% 9.01/6.95 tff(33975,plain,
% 9.01/6.95 ($false),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33974, 33950])).
% 9.01/6.95 tff(33976,plain,(~(constB39 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.01/6.95 tff(33977,assumption,(constB177 = VarCurr!0), introduced(assumption)).
% 9.01/6.95 tff(33978,plain,
% 9.01/6.95 (v193(constB177) <=> v193(VarCurr!0)),
% 9.01/6.95 inference(monotonicity,[status(thm)],[33977])).
% 9.01/6.95 tff(33979,plain,
% 9.01/6.95 (v193(VarCurr!0) <=> v193(constB177)),
% 9.01/6.95 inference(symmetry,[status(thm)],[33978])).
% 9.01/6.95 tff(33980,plain,
% 9.01/6.95 (v193(constB177)),
% 9.01/6.95 inference(modus_ponens,[status(thm)],[59, 33979])).
% 9.01/6.95 tff(33981,plain,
% 9.01/6.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB176, constB177)) | (v193(constB177) <=> v191(constB176)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB176, constB177)) | (v193(constB177) <=> v191(constB176)))),
% 9.01/6.95 inference(rewrite,[status(thm)],[])).
% 9.01/6.95 tff(33982,plain,
% 9.01/6.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB176, constB177)) | (v193(constB177) <=> v191(constB176)))),
% 9.01/6.95 inference(quant_inst,[status(thm)],[])).
% 9.01/6.95 tff(33983,plain,
% 9.01/6.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB176, constB177)) | (v193(constB177) <=> v191(constB176))),
% 9.01/6.95 inference(modus_ponens,[status(thm)],[33982, 33981])).
% 9.01/6.95 tff(33984,plain,
% 9.01/6.95 (v193(constB177) <=> v191(constB176)),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33983, 15580, 70])).
% 9.01/6.95 tff(33985,plain,
% 9.01/6.95 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB176) <=> (v194(constB176) | v198(constB176)))),
% 9.01/6.95 inference(quant_inst,[status(thm)],[])).
% 9.01/6.95 tff(33986,plain,
% 9.01/6.95 (v191(constB176) <=> (v194(constB176) | v198(constB176))),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33985, 84])).
% 9.01/6.95 tff(33987,plain,
% 9.01/6.95 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB176) <=> (~((~v199(constB176)) | (~v200(constB176)))))),
% 9.01/6.95 inference(quant_inst,[status(thm)],[])).
% 9.01/6.95 tff(33988,plain,
% 9.01/6.95 (v198(constB176) <=> (~((~v199(constB176)) | (~v200(constB176))))),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33987, 96])).
% 9.01/6.95 tff(33989,plain,
% 9.01/6.95 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB176) <=> (~((~v197(constB176)) | (~v201(constB176)))))),
% 9.01/6.95 inference(quant_inst,[status(thm)],[])).
% 9.01/6.95 tff(33990,plain,
% 9.01/6.95 (v200(constB176) <=> (~((~v197(constB176)) | (~v201(constB176))))),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33989, 108])).
% 9.01/6.95 tff(33991,plain,
% 9.01/6.95 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB176) <=> (~((~v39(constB176)) | (~v9(constB176)))))),
% 9.01/6.95 inference(quant_inst,[status(thm)],[])).
% 9.01/6.95 tff(33992,plain,
% 9.01/6.95 (v197(constB176) <=> (~((~v39(constB176)) | (~v9(constB176))))),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33991, 120])).
% 9.01/6.95 tff(33993,plain,
% 9.01/6.95 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB176)) <=> v1(constB176))),
% 9.01/6.95 inference(quant_inst,[status(thm)],[])).
% 9.01/6.95 tff(33994,plain,
% 9.01/6.95 ((~v39(constB176)) <=> v1(constB176)),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33993, 129])).
% 9.01/6.95 tff(33995,plain,
% 9.01/6.95 ((~((~v39(constB176)) <=> v1(constB176))) | (~v39(constB176)) | (~v1(constB176))),
% 9.01/6.95 inference(tautology,[status(thm)],[])).
% 9.01/6.95 tff(33996,plain,
% 9.01/6.95 ((~((~v39(constB176)) <=> v1(constB176))) | (~v39(constB176))),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33995, 22444])).
% 9.01/6.95 tff(33997,plain,
% 9.01/6.95 (~v39(constB176)),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33996, 33994])).
% 9.01/6.95 tff(33998,plain,
% 9.01/6.95 (((~v39(constB176)) | (~v9(constB176))) | v39(constB176)),
% 9.01/6.95 inference(tautology,[status(thm)],[])).
% 9.01/6.95 tff(33999,plain,
% 9.01/6.95 ((~v39(constB176)) | (~v9(constB176))),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[33998, 33997])).
% 9.01/6.95 tff(34000,plain,
% 9.01/6.95 ((~(v197(constB176) <=> (~((~v39(constB176)) | (~v9(constB176)))))) | (~v197(constB176)) | (~((~v39(constB176)) | (~v9(constB176))))),
% 9.01/6.95 inference(tautology,[status(thm)],[])).
% 9.01/6.95 tff(34001,plain,
% 9.01/6.95 ((~(v197(constB176) <=> (~((~v39(constB176)) | (~v9(constB176)))))) | (~v197(constB176))),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[34000, 33999])).
% 9.01/6.95 tff(34002,plain,
% 9.01/6.95 (~v197(constB176)),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[34001, 33992])).
% 9.01/6.95 tff(34003,plain,
% 9.01/6.95 (((~v197(constB176)) | (~v201(constB176))) | v197(constB176)),
% 9.01/6.95 inference(tautology,[status(thm)],[])).
% 9.01/6.95 tff(34004,plain,
% 9.01/6.95 ((~v197(constB176)) | (~v201(constB176))),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[34003, 34002])).
% 9.01/6.95 tff(34005,plain,
% 9.01/6.95 ((~(v200(constB176) <=> (~((~v197(constB176)) | (~v201(constB176)))))) | (~v200(constB176)) | (~((~v197(constB176)) | (~v201(constB176))))),
% 9.01/6.95 inference(tautology,[status(thm)],[])).
% 9.01/6.95 tff(34006,plain,
% 9.01/6.95 ((~(v200(constB176) <=> (~((~v197(constB176)) | (~v201(constB176)))))) | (~v200(constB176))),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[34005, 34004])).
% 9.01/6.95 tff(34007,plain,
% 9.01/6.95 (~v200(constB176)),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[34006, 33990])).
% 9.01/6.95 tff(34008,plain,
% 9.01/6.95 (((~v199(constB176)) | (~v200(constB176))) | v200(constB176)),
% 9.01/6.95 inference(tautology,[status(thm)],[])).
% 9.01/6.95 tff(34009,plain,
% 9.01/6.95 ((~v199(constB176)) | (~v200(constB176))),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[34008, 34007])).
% 9.01/6.95 tff(34010,plain,
% 9.01/6.95 ((~(v198(constB176) <=> (~((~v199(constB176)) | (~v200(constB176)))))) | (~v198(constB176)) | (~((~v199(constB176)) | (~v200(constB176))))),
% 9.01/6.95 inference(tautology,[status(thm)],[])).
% 9.01/6.95 tff(34011,plain,
% 9.01/6.95 (~v198(constB176)),
% 9.01/6.95 inference(unit_resolution,[status(thm)],[34010, 34009, 33988])).
% 9.01/6.95 tff(34012,plain,
% 9.01/6.95 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB176) <=> (~((~v157(constB176)) | (~v195(constB176)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB176) <=> (~((~v157(constB176)) | (~v195(constB176))))))),
% 9.01/6.95 inference(rewrite,[status(thm)],[])).
% 9.01/6.95 tff(34013,plain,
% 9.01/6.95 ((v194(constB176) <=> (~((~v195(constB176)) | (~v157(constB176))))) <=> (v194(constB176) <=> (~((~v157(constB176)) | (~v195(constB176)))))),
% 9.01/6.96 inference(rewrite,[status(thm)],[])).
% 9.01/6.96 tff(34014,plain,
% 9.01/6.96 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB176) <=> (~((~v195(constB176)) | (~v157(constB176)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB176) <=> (~((~v157(constB176)) | (~v195(constB176))))))),
% 9.01/6.96 inference(monotonicity,[status(thm)],[34013])).
% 9.01/6.96 tff(34015,plain,
% 9.01/6.96 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB176) <=> (~((~v195(constB176)) | (~v157(constB176)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB176) <=> (~((~v157(constB176)) | (~v195(constB176))))))),
% 9.01/6.96 inference(transitivity,[status(thm)],[34014, 34012])).
% 9.01/6.96 tff(34016,plain,
% 9.01/6.96 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB176) <=> (~((~v195(constB176)) | (~v157(constB176)))))),
% 9.01/6.96 inference(quant_inst,[status(thm)],[])).
% 9.01/6.96 tff(34017,plain,
% 9.01/6.96 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB176) <=> (~((~v157(constB176)) | (~v195(constB176)))))),
% 9.01/6.96 inference(modus_ponens,[status(thm)],[34016, 34015])).
% 9.01/6.96 tff(34018,plain,
% 9.01/6.96 (v194(constB176) <=> (~((~v157(constB176)) | (~v195(constB176))))),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34017, 161])).
% 9.01/6.96 tff(34019,plain,
% 9.01/6.96 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB176) <=> v193(constB176))),
% 9.01/6.96 inference(quant_inst,[status(thm)],[])).
% 9.01/6.96 tff(34020,plain,
% 9.01/6.96 (v157(constB176) <=> v193(constB176)),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34019, 13])).
% 9.01/6.96 tff(34021,plain,
% 9.01/6.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB175, constB176)) | (v193(constB176) <=> v191(constB175)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB175, constB176)) | (v193(constB176) <=> v191(constB175)))),
% 9.01/6.96 inference(rewrite,[status(thm)],[])).
% 9.01/6.96 tff(34022,plain,
% 9.01/6.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB175, constB176)) | (v193(constB176) <=> v191(constB175)))),
% 9.01/6.96 inference(quant_inst,[status(thm)],[])).
% 9.01/6.96 tff(34023,plain,
% 9.01/6.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB175, constB176)) | (v193(constB176) <=> v191(constB175))),
% 9.01/6.96 inference(modus_ponens,[status(thm)],[34022, 34021])).
% 9.01/6.96 tff(34024,plain,
% 9.01/6.96 (v193(constB176) <=> v191(constB175)),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34023, 15616, 70])).
% 9.01/6.96 tff(34025,plain,
% 9.01/6.96 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB175) <=> (v194(constB175) | v198(constB175)))),
% 9.01/6.96 inference(quant_inst,[status(thm)],[])).
% 9.01/6.96 tff(34026,plain,
% 9.01/6.96 (v191(constB175) <=> (v194(constB175) | v198(constB175))),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34025, 84])).
% 9.01/6.96 tff(34027,plain,
% 9.01/6.96 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB175) <=> (~((~v157(constB175)) | (~v195(constB175)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB175) <=> (~((~v157(constB175)) | (~v195(constB175))))))),
% 9.01/6.96 inference(rewrite,[status(thm)],[])).
% 9.01/6.96 tff(34028,plain,
% 9.01/6.96 ((v194(constB175) <=> (~((~v195(constB175)) | (~v157(constB175))))) <=> (v194(constB175) <=> (~((~v157(constB175)) | (~v195(constB175)))))),
% 9.01/6.96 inference(rewrite,[status(thm)],[])).
% 9.01/6.96 tff(34029,plain,
% 9.01/6.96 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB175) <=> (~((~v195(constB175)) | (~v157(constB175)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB175) <=> (~((~v157(constB175)) | (~v195(constB175))))))),
% 9.01/6.96 inference(monotonicity,[status(thm)],[34028])).
% 9.01/6.96 tff(34030,plain,
% 9.01/6.96 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB175) <=> (~((~v195(constB175)) | (~v157(constB175)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB175) <=> (~((~v157(constB175)) | (~v195(constB175))))))),
% 9.01/6.96 inference(transitivity,[status(thm)],[34029, 34027])).
% 9.01/6.96 tff(34031,plain,
% 9.01/6.96 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB175) <=> (~((~v195(constB175)) | (~v157(constB175)))))),
% 9.01/6.96 inference(quant_inst,[status(thm)],[])).
% 9.01/6.96 tff(34032,plain,
% 9.01/6.96 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB175) <=> (~((~v157(constB175)) | (~v195(constB175)))))),
% 9.01/6.96 inference(modus_ponens,[status(thm)],[34031, 34030])).
% 9.01/6.96 tff(34033,plain,
% 9.01/6.96 (v194(constB175) <=> (~((~v157(constB175)) | (~v195(constB175))))),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34032, 161])).
% 9.01/6.96 tff(34034,plain,
% 9.01/6.96 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB175)) <=> v196(constB175))),
% 9.01/6.96 inference(quant_inst,[status(thm)],[])).
% 9.01/6.96 tff(34035,plain,
% 9.01/6.96 ((~v195(constB175)) <=> v196(constB175)),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34034, 193])).
% 9.01/6.96 tff(34036,plain,
% 9.01/6.96 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB175) <=> (v197(constB175) | v26(constB175)))),
% 9.01/6.96 inference(quant_inst,[status(thm)],[])).
% 9.01/6.96 tff(34037,plain,
% 9.01/6.96 (v196(constB175) <=> (v197(constB175) | v26(constB175))),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34036, 202])).
% 9.01/6.96 tff(34038,plain,
% 9.01/6.96 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB175) <=> (~((~v39(constB175)) | (~v9(constB175)))))),
% 9.01/6.96 inference(quant_inst,[status(thm)],[])).
% 9.01/6.96 tff(34039,plain,
% 9.01/6.96 (v197(constB175) <=> (~((~v39(constB175)) | (~v9(constB175))))),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34038, 120])).
% 9.01/6.96 tff(34040,plain,
% 9.01/6.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB175, constB176)) | (v13(constB176) <=> v9(constB175)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB175, constB176)) | (v13(constB176) <=> v9(constB175)))),
% 9.01/6.96 inference(rewrite,[status(thm)],[])).
% 9.01/6.96 tff(34041,plain,
% 9.01/6.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB175, constB176)) | (v13(constB176) <=> v9(constB175)))),
% 9.01/6.96 inference(quant_inst,[status(thm)],[])).
% 9.01/6.96 tff(34042,plain,
% 9.01/6.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB175, constB176)) | (v13(constB176) <=> v9(constB175))),
% 9.01/6.96 inference(modus_ponens,[status(thm)],[34041, 34040])).
% 9.01/6.96 tff(34043,plain,
% 9.01/6.96 (v13(constB176) <=> v9(constB175)),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34042, 15616, 216])).
% 9.01/6.96 tff(34044,plain,
% 9.01/6.96 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB176) <=> v13(constB176))),
% 9.01/6.96 inference(quant_inst,[status(thm)],[])).
% 9.01/6.96 tff(34045,plain,
% 9.01/6.96 (v6(constB176) <=> v13(constB176)),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34044, 230])).
% 9.01/6.96 tff(34046,plain,
% 9.01/6.96 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB176)) <=> v6(constB176))),
% 9.01/6.96 inference(quant_inst,[status(thm)],[])).
% 9.01/6.96 tff(34047,plain,
% 9.01/6.96 ((~v21(constB176)) <=> v6(constB176)),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34046, 239])).
% 9.01/6.96 tff(34048,plain,
% 9.01/6.96 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB176) <=> (v20(constB176) | v21(constB176)))),
% 9.01/6.96 inference(quant_inst,[status(thm)],[])).
% 9.01/6.96 tff(34049,plain,
% 9.01/6.96 (v19(constB176) <=> (v20(constB176) | v21(constB176))),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34048, 248])).
% 9.01/6.96 tff(34050,plain,
% 9.01/6.96 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB176) <=> (~((~v19(constB176)) | (~v22(constB176)))))),
% 9.01/6.96 inference(quant_inst,[status(thm)],[])).
% 9.01/6.96 tff(34051,plain,
% 9.01/6.96 (v18(constB176) <=> (~((~v19(constB176)) | (~v22(constB176))))),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34050, 260])).
% 9.01/6.96 tff(34052,plain,
% 9.01/6.96 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB176)) <=> v18(constB176))),
% 9.01/6.96 inference(quant_inst,[status(thm)],[])).
% 9.01/6.96 tff(34053,plain,
% 9.01/6.96 ((~v4(constB176)) <=> v18(constB176)),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34052, 269])).
% 9.01/6.96 tff(34054,plain,
% 9.01/6.96 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB176)),
% 9.01/6.96 inference(quant_inst,[status(thm)],[])).
% 9.01/6.96 tff(34055,plain,
% 9.01/6.96 (v4(constB176)),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34054, 278])).
% 9.01/6.96 tff(34056,plain,
% 9.01/6.96 ((~((~v4(constB176)) <=> v18(constB176))) | (~v4(constB176)) | (~v18(constB176))),
% 9.01/6.96 inference(tautology,[status(thm)],[])).
% 9.01/6.96 tff(34057,plain,
% 9.01/6.96 (~v18(constB176)),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34056, 34055, 34053])).
% 9.01/6.96 tff(34058,plain,
% 9.01/6.96 ((~(v18(constB176) <=> (~((~v19(constB176)) | (~v22(constB176)))))) | v18(constB176) | ((~v19(constB176)) | (~v22(constB176)))),
% 9.01/6.96 inference(tautology,[status(thm)],[])).
% 9.01/6.96 tff(34059,plain,
% 9.01/6.96 ((~v19(constB176)) | (~v22(constB176))),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34058, 34057, 34051])).
% 9.01/6.96 tff(34060,plain,
% 9.01/6.96 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB176) <=> (v1(constB176) | v6(constB176)))),
% 9.01/6.96 inference(quant_inst,[status(thm)],[])).
% 9.01/6.96 tff(34061,plain,
% 9.01/6.96 (v22(constB176) <=> (v1(constB176) | v6(constB176))),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34060, 291])).
% 9.01/6.96 tff(34062,plain,
% 9.01/6.96 ((v1(constB176) | v6(constB176)) | (~v1(constB176))),
% 9.01/6.96 inference(tautology,[status(thm)],[])).
% 9.01/6.96 tff(34063,plain,
% 9.01/6.96 (v1(constB176) | v6(constB176)),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34062, 22444])).
% 9.01/6.96 tff(34064,plain,
% 9.01/6.96 ((~(v22(constB176) <=> (v1(constB176) | v6(constB176)))) | v22(constB176) | (~(v1(constB176) | v6(constB176)))),
% 9.01/6.96 inference(tautology,[status(thm)],[])).
% 9.01/6.96 tff(34065,plain,
% 9.01/6.96 ((~(v22(constB176) <=> (v1(constB176) | v6(constB176)))) | v22(constB176)),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34064, 34063])).
% 9.01/6.96 tff(34066,plain,
% 9.01/6.96 (v22(constB176)),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34065, 34061])).
% 9.01/6.96 tff(34067,plain,
% 9.01/6.96 ((~((~v19(constB176)) | (~v22(constB176)))) | (~v19(constB176)) | (~v22(constB176))),
% 9.01/6.96 inference(tautology,[status(thm)],[])).
% 9.01/6.96 tff(34068,plain,
% 9.01/6.96 ((~((~v19(constB176)) | (~v22(constB176)))) | (~v19(constB176))),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34067, 34066])).
% 9.01/6.96 tff(34069,plain,
% 9.01/6.96 (~v19(constB176)),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34068, 34059])).
% 9.01/6.96 tff(34070,plain,
% 9.01/6.96 ((~(v19(constB176) <=> (v20(constB176) | v21(constB176)))) | v19(constB176) | (~(v20(constB176) | v21(constB176)))),
% 9.01/6.96 inference(tautology,[status(thm)],[])).
% 9.01/6.96 tff(34071,plain,
% 9.01/6.96 (~(v20(constB176) | v21(constB176))),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34070, 34069, 34049])).
% 9.01/6.96 tff(34072,plain,
% 9.01/6.96 ((v20(constB176) | v21(constB176)) | (~v21(constB176))),
% 9.01/6.96 inference(tautology,[status(thm)],[])).
% 9.01/6.96 tff(34073,plain,
% 9.01/6.96 (~v21(constB176)),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34072, 34071])).
% 9.01/6.96 tff(34074,plain,
% 9.01/6.96 ((~((~v21(constB176)) <=> v6(constB176))) | v21(constB176) | v6(constB176)),
% 9.01/6.96 inference(tautology,[status(thm)],[])).
% 9.01/6.96 tff(34075,plain,
% 9.01/6.96 (v6(constB176)),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34074, 34073, 34047])).
% 9.01/6.96 tff(34076,plain,
% 9.01/6.96 ((~(v6(constB176) <=> v13(constB176))) | (~v6(constB176)) | v13(constB176)),
% 9.01/6.96 inference(tautology,[status(thm)],[])).
% 9.01/6.96 tff(34077,plain,
% 9.01/6.96 (v13(constB176)),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34076, 34075, 34045])).
% 9.01/6.96 tff(34078,plain,
% 9.01/6.96 ((~(v13(constB176) <=> v9(constB175))) | (~v13(constB176)) | v9(constB175)),
% 9.01/6.96 inference(tautology,[status(thm)],[])).
% 9.01/6.96 tff(34079,plain,
% 9.01/6.96 (v9(constB175)),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34078, 34077, 34043])).
% 9.01/6.96 tff(34080,plain,
% 9.01/6.96 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB175)) <=> v1(constB175))),
% 9.01/6.96 inference(quant_inst,[status(thm)],[])).
% 9.01/6.96 tff(34081,plain,
% 9.01/6.96 ((~v39(constB175)) <=> v1(constB175)),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34080, 129])).
% 9.01/6.96 tff(34082,plain,
% 9.01/6.96 ((~((~v39(constB175)) <=> v1(constB175))) | v39(constB175) | v1(constB175)),
% 9.01/6.96 inference(tautology,[status(thm)],[])).
% 9.01/6.96 tff(34083,plain,
% 9.01/6.96 ((~((~v39(constB175)) <=> v1(constB175))) | v39(constB175)),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34082, 15655])).
% 9.01/6.96 tff(34084,plain,
% 9.01/6.96 (v39(constB175)),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34083, 34081])).
% 9.01/6.96 tff(34085,plain,
% 9.01/6.96 ((~((~v39(constB175)) | (~v9(constB175)))) | (~v39(constB175)) | (~v9(constB175))),
% 9.01/6.96 inference(tautology,[status(thm)],[])).
% 9.01/6.96 tff(34086,plain,
% 9.01/6.96 ((~((~v39(constB175)) | (~v9(constB175)))) | (~v9(constB175))),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34085, 34084])).
% 9.01/6.96 tff(34087,plain,
% 9.01/6.96 (~((~v39(constB175)) | (~v9(constB175)))),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34086, 34079])).
% 9.01/6.96 tff(34088,plain,
% 9.01/6.96 ((~(v197(constB175) <=> (~((~v39(constB175)) | (~v9(constB175)))))) | v197(constB175) | ((~v39(constB175)) | (~v9(constB175)))),
% 9.01/6.96 inference(tautology,[status(thm)],[])).
% 9.01/6.96 tff(34089,plain,
% 9.01/6.96 (v197(constB175)),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34088, 34087, 34039])).
% 9.01/6.96 tff(34090,plain,
% 9.01/6.96 ((v197(constB175) | v26(constB175)) | (~v197(constB175))),
% 9.01/6.96 inference(tautology,[status(thm)],[])).
% 9.01/6.96 tff(34091,plain,
% 9.01/6.96 (v197(constB175) | v26(constB175)),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34090, 34089])).
% 9.01/6.96 tff(34092,plain,
% 9.01/6.96 ((~(v196(constB175) <=> (v197(constB175) | v26(constB175)))) | v196(constB175) | (~(v197(constB175) | v26(constB175)))),
% 9.01/6.96 inference(tautology,[status(thm)],[])).
% 9.01/6.96 tff(34093,plain,
% 9.01/6.96 (v196(constB175)),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34092, 34091, 34037])).
% 9.01/6.96 tff(34094,plain,
% 9.01/6.96 ((~((~v195(constB175)) <=> v196(constB175))) | (~v195(constB175)) | (~v196(constB175))),
% 9.01/6.96 inference(tautology,[status(thm)],[])).
% 9.01/6.96 tff(34095,plain,
% 9.01/6.96 (~v195(constB175)),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34094, 34093, 34035])).
% 9.01/6.96 tff(34096,plain,
% 9.01/6.96 (((~v157(constB175)) | (~v195(constB175))) | v195(constB175)),
% 9.01/6.96 inference(tautology,[status(thm)],[])).
% 9.01/6.96 tff(34097,plain,
% 9.01/6.96 ((~v157(constB175)) | (~v195(constB175))),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34096, 34095])).
% 9.01/6.96 tff(34098,plain,
% 9.01/6.96 ((~(v194(constB175) <=> (~((~v157(constB175)) | (~v195(constB175)))))) | (~v194(constB175)) | (~((~v157(constB175)) | (~v195(constB175))))),
% 9.01/6.96 inference(tautology,[status(thm)],[])).
% 9.01/6.96 tff(34099,plain,
% 9.01/6.96 (~v194(constB175)),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34098, 34097, 34033])).
% 9.01/6.96 tff(34100,plain,
% 9.01/6.96 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB175) <=> (~((~v199(constB175)) | (~v200(constB175)))))),
% 9.01/6.96 inference(quant_inst,[status(thm)],[])).
% 9.01/6.96 tff(34101,plain,
% 9.01/6.96 (v198(constB175) <=> (~((~v199(constB175)) | (~v200(constB175))))),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34100, 96])).
% 9.01/6.96 tff(34102,plain,
% 9.01/6.96 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB175) <=> (~((~v197(constB175)) | (~v201(constB175)))))),
% 9.01/6.96 inference(quant_inst,[status(thm)],[])).
% 9.01/6.96 tff(34103,plain,
% 9.01/6.96 (v200(constB175) <=> (~((~v197(constB175)) | (~v201(constB175))))),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34102, 108])).
% 9.01/6.96 tff(34104,plain,
% 9.01/6.96 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB175) <=> (~((~v159(constB175)) | (~v161(constB175)))))),
% 9.01/6.96 inference(quant_inst,[status(thm)],[])).
% 9.01/6.96 tff(34105,plain,
% 9.01/6.96 (v201(constB175) <=> (~((~v159(constB175)) | (~v161(constB175))))),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34104, 348])).
% 9.01/6.96 tff(34106,plain,
% 9.01/6.96 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB175) <=> v163(constB175))),
% 9.01/6.96 inference(quant_inst,[status(thm)],[])).
% 9.01/6.96 tff(34107,plain,
% 9.01/6.96 (v161(constB175) <=> v163(constB175)),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34106, 357])).
% 9.01/6.96 tff(34108,plain,
% 9.01/6.96 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB175) <=> (v145(constB175) | v167(constB175)))),
% 9.01/6.96 inference(quant_inst,[status(thm)],[])).
% 9.01/6.96 tff(34109,plain,
% 9.01/6.96 (v166(constB175) <=> (v145(constB175) | v167(constB175))),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34108, 369])).
% 9.01/6.96 tff(34110,plain,
% 9.01/6.96 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB175) <=> (v142(constB175) | v168(constB175)))),
% 9.01/6.96 inference(quant_inst,[status(thm)],[])).
% 9.01/6.96 tff(34111,plain,
% 9.01/6.96 (v167(constB175) <=> (v142(constB175) | v168(constB175))),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34110, 381])).
% 9.01/6.96 tff(34112,plain,
% 9.01/6.96 ((v142(constB175) | v168(constB175)) | (~v142(constB175))),
% 9.01/6.96 inference(tautology,[status(thm)],[])).
% 9.01/6.96 tff(34113,plain,
% 9.01/6.96 (v142(constB175) | v168(constB175)),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34112, 31046])).
% 9.01/6.96 tff(34114,plain,
% 9.01/6.96 ((~(v167(constB175) <=> (v142(constB175) | v168(constB175)))) | v167(constB175) | (~(v142(constB175) | v168(constB175)))),
% 9.01/6.96 inference(tautology,[status(thm)],[])).
% 9.01/6.96 tff(34115,plain,
% 9.01/6.96 ((~(v167(constB175) <=> (v142(constB175) | v168(constB175)))) | v167(constB175)),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34114, 34113])).
% 9.01/6.96 tff(34116,plain,
% 9.01/6.96 (v167(constB175)),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34115, 34111])).
% 9.01/6.96 tff(34117,plain,
% 9.01/6.96 ((v145(constB175) | v167(constB175)) | (~v167(constB175))),
% 9.01/6.96 inference(tautology,[status(thm)],[])).
% 9.01/6.96 tff(34118,plain,
% 9.01/6.96 (v145(constB175) | v167(constB175)),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34117, 34116])).
% 9.01/6.96 tff(34119,plain,
% 9.01/6.96 ((~(v166(constB175) <=> (v145(constB175) | v167(constB175)))) | v166(constB175) | (~(v145(constB175) | v167(constB175)))),
% 9.01/6.96 inference(tautology,[status(thm)],[])).
% 9.01/6.96 tff(34120,plain,
% 9.01/6.96 (v166(constB175)),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34119, 34118, 34109])).
% 9.01/6.96 tff(34121,plain,
% 9.01/6.96 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB175)) | (v163(constB175) <=> v170(constB175)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB175)) | (v163(constB175) <=> v170(constB175)))),
% 9.01/6.96 inference(rewrite,[status(thm)],[])).
% 9.01/6.96 tff(34122,plain,
% 9.01/6.96 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB175)) | (v163(constB175) <=> v170(constB175)))),
% 9.01/6.96 inference(quant_inst,[status(thm)],[])).
% 9.01/6.96 tff(34123,plain,
% 9.01/6.96 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB175)) | (v163(constB175) <=> v170(constB175))),
% 9.01/6.96 inference(modus_ponens,[status(thm)],[34122, 34121])).
% 9.01/6.96 tff(34124,plain,
% 9.01/6.96 ((~v166(constB175)) | (v163(constB175) <=> v170(constB175))),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34123, 9851])).
% 9.01/6.96 tff(34125,plain,
% 9.01/6.96 (v163(constB175) <=> v170(constB175)),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34124, 34120])).
% 9.01/6.96 tff(34126,plain,
% 9.01/6.96 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB175) <=> (v142(constB175) | v150(constB175)))),
% 9.01/6.96 inference(quant_inst,[status(thm)],[])).
% 9.01/6.96 tff(34127,plain,
% 9.01/6.96 (v171(constB175) <=> (v142(constB175) | v150(constB175))),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34126, 9866])).
% 9.01/6.96 tff(34128,plain,
% 9.01/6.96 ((v142(constB175) | v150(constB175)) | (~v142(constB175))),
% 9.01/6.96 inference(tautology,[status(thm)],[])).
% 9.01/6.96 tff(34129,plain,
% 9.01/6.96 (v142(constB175) | v150(constB175)),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34128, 31046])).
% 9.01/6.96 tff(34130,plain,
% 9.01/6.96 ((~(v171(constB175) <=> (v142(constB175) | v150(constB175)))) | v171(constB175) | (~(v142(constB175) | v150(constB175)))),
% 9.01/6.96 inference(tautology,[status(thm)],[])).
% 9.01/6.96 tff(34131,plain,
% 9.01/6.96 ((~(v171(constB175) <=> (v142(constB175) | v150(constB175)))) | v171(constB175)),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34130, 34129])).
% 9.01/6.96 tff(34132,plain,
% 9.01/6.96 (v171(constB175)),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34131, 34127])).
% 9.01/6.96 tff(34133,plain,
% 9.01/6.96 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB175)) | (~v171(constB175)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB175)) | (~v171(constB175)))),
% 9.01/6.96 inference(rewrite,[status(thm)],[])).
% 9.01/6.96 tff(34134,plain,
% 9.01/6.96 (((~v171(constB175)) | (~v170(constB175))) <=> ((~v170(constB175)) | (~v171(constB175)))),
% 9.01/6.96 inference(rewrite,[status(thm)],[])).
% 9.01/6.96 tff(34135,plain,
% 9.01/6.96 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB175)) | (~v170(constB175)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB175)) | (~v171(constB175))))),
% 9.01/6.96 inference(monotonicity,[status(thm)],[34134])).
% 9.01/6.96 tff(34136,plain,
% 9.01/6.96 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB175)) | (~v170(constB175)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB175)) | (~v171(constB175)))),
% 9.01/6.96 inference(transitivity,[status(thm)],[34135, 34133])).
% 9.01/6.96 tff(34137,plain,
% 9.01/6.96 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB175)) | (~v170(constB175)))),
% 9.01/6.96 inference(quant_inst,[status(thm)],[])).
% 9.01/6.96 tff(34138,plain,
% 9.01/6.96 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB175)) | (~v171(constB175))),
% 9.01/6.96 inference(modus_ponens,[status(thm)],[34137, 34136])).
% 9.01/6.96 tff(34139,plain,
% 9.01/6.96 (~v170(constB175)),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34138, 9899, 34132])).
% 9.01/6.96 tff(34140,plain,
% 9.01/6.96 ((~(v163(constB175) <=> v170(constB175))) | (~v163(constB175)) | v170(constB175)),
% 9.01/6.96 inference(tautology,[status(thm)],[])).
% 9.01/6.96 tff(34141,plain,
% 9.01/6.96 (~v163(constB175)),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34140, 34139, 34125])).
% 9.01/6.96 tff(34142,plain,
% 9.01/6.96 ((~(v161(constB175) <=> v163(constB175))) | (~v161(constB175)) | v163(constB175)),
% 9.01/6.96 inference(tautology,[status(thm)],[])).
% 9.01/6.96 tff(34143,plain,
% 9.01/6.96 (~v161(constB175)),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34142, 34141, 34107])).
% 9.01/6.96 tff(34144,plain,
% 9.01/6.96 (((~v159(constB175)) | (~v161(constB175))) | v161(constB175)),
% 9.01/6.96 inference(tautology,[status(thm)],[])).
% 9.01/6.96 tff(34145,plain,
% 9.01/6.96 ((~v159(constB175)) | (~v161(constB175))),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34144, 34143])).
% 9.01/6.96 tff(34146,plain,
% 9.01/6.96 ((~(v201(constB175) <=> (~((~v159(constB175)) | (~v161(constB175)))))) | (~v201(constB175)) | (~((~v159(constB175)) | (~v161(constB175))))),
% 9.01/6.96 inference(tautology,[status(thm)],[])).
% 9.01/6.96 tff(34147,plain,
% 9.01/6.96 (~v201(constB175)),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34146, 34145, 34105])).
% 9.01/6.96 tff(34148,plain,
% 9.01/6.96 (((~v197(constB175)) | (~v201(constB175))) | v201(constB175)),
% 9.01/6.96 inference(tautology,[status(thm)],[])).
% 9.01/6.96 tff(34149,plain,
% 9.01/6.96 ((~v197(constB175)) | (~v201(constB175))),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34148, 34147])).
% 9.01/6.96 tff(34150,plain,
% 9.01/6.96 ((~(v200(constB175) <=> (~((~v197(constB175)) | (~v201(constB175)))))) | (~v200(constB175)) | (~((~v197(constB175)) | (~v201(constB175))))),
% 9.01/6.96 inference(tautology,[status(thm)],[])).
% 9.01/6.96 tff(34151,plain,
% 9.01/6.96 (~v200(constB175)),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34150, 34149, 34103])).
% 9.01/6.96 tff(34152,plain,
% 9.01/6.96 (((~v199(constB175)) | (~v200(constB175))) | v200(constB175)),
% 9.01/6.96 inference(tautology,[status(thm)],[])).
% 9.01/6.96 tff(34153,plain,
% 9.01/6.96 ((~v199(constB175)) | (~v200(constB175))),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34152, 34151])).
% 9.01/6.96 tff(34154,plain,
% 9.01/6.96 ((~(v198(constB175) <=> (~((~v199(constB175)) | (~v200(constB175)))))) | (~v198(constB175)) | (~((~v199(constB175)) | (~v200(constB175))))),
% 9.01/6.96 inference(tautology,[status(thm)],[])).
% 9.01/6.96 tff(34155,plain,
% 9.01/6.96 (~v198(constB175)),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34154, 34153, 34101])).
% 9.01/6.96 tff(34156,plain,
% 9.01/6.96 ((~(v194(constB175) | v198(constB175))) | v194(constB175) | v198(constB175)),
% 9.01/6.96 inference(tautology,[status(thm)],[])).
% 9.01/6.96 tff(34157,plain,
% 9.01/6.96 (~(v194(constB175) | v198(constB175))),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34156, 34155, 34099])).
% 9.01/6.96 tff(34158,plain,
% 9.01/6.96 ((~(v191(constB175) <=> (v194(constB175) | v198(constB175)))) | (~v191(constB175)) | (v194(constB175) | v198(constB175))),
% 9.01/6.96 inference(tautology,[status(thm)],[])).
% 9.01/6.96 tff(34159,plain,
% 9.01/6.96 (~v191(constB175)),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34158, 34157, 34026])).
% 9.01/6.96 tff(34160,plain,
% 9.01/6.96 ((~(v193(constB176) <=> v191(constB175))) | (~v193(constB176)) | v191(constB175)),
% 9.01/6.96 inference(tautology,[status(thm)],[])).
% 9.01/6.96 tff(34161,plain,
% 9.01/6.96 (~v193(constB176)),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34160, 34159, 34024])).
% 9.01/6.96 tff(34162,plain,
% 9.01/6.96 ((~(v157(constB176) <=> v193(constB176))) | (~v157(constB176)) | v193(constB176)),
% 9.01/6.96 inference(tautology,[status(thm)],[])).
% 9.01/6.96 tff(34163,plain,
% 9.01/6.96 (~v157(constB176)),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34162, 34161, 34020])).
% 9.01/6.96 tff(34164,plain,
% 9.01/6.96 (((~v157(constB176)) | (~v195(constB176))) | v157(constB176)),
% 9.01/6.96 inference(tautology,[status(thm)],[])).
% 9.01/6.96 tff(34165,plain,
% 9.01/6.96 ((~v157(constB176)) | (~v195(constB176))),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34164, 34163])).
% 9.01/6.96 tff(34166,plain,
% 9.01/6.96 ((~(v194(constB176) <=> (~((~v157(constB176)) | (~v195(constB176)))))) | (~v194(constB176)) | (~((~v157(constB176)) | (~v195(constB176))))),
% 9.01/6.96 inference(tautology,[status(thm)],[])).
% 9.01/6.96 tff(34167,plain,
% 9.01/6.96 (~v194(constB176)),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34166, 34165, 34018])).
% 9.01/6.96 tff(34168,plain,
% 9.01/6.96 ((~(v194(constB176) | v198(constB176))) | v194(constB176) | v198(constB176)),
% 9.01/6.96 inference(tautology,[status(thm)],[])).
% 9.01/6.96 tff(34169,plain,
% 9.01/6.96 (~(v194(constB176) | v198(constB176))),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34168, 34167, 34011])).
% 9.01/6.96 tff(34170,plain,
% 9.01/6.96 ((~(v191(constB176) <=> (v194(constB176) | v198(constB176)))) | (~v191(constB176)) | (v194(constB176) | v198(constB176))),
% 9.01/6.96 inference(tautology,[status(thm)],[])).
% 9.01/6.96 tff(34171,plain,
% 9.01/6.96 (~v191(constB176)),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34170, 34169, 33986])).
% 9.01/6.96 tff(34172,plain,
% 9.01/6.96 ((~(v193(constB177) <=> v191(constB176))) | (~v193(constB177)) | v191(constB176)),
% 9.01/6.96 inference(tautology,[status(thm)],[])).
% 9.01/6.96 tff(34173,plain,
% 9.01/6.96 (~v193(constB177)),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34172, 34171, 33984])).
% 9.01/6.96 tff(34174,plain,
% 9.01/6.96 ($false),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34173, 33980])).
% 9.01/6.96 tff(34175,plain,(~(constB177 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.01/6.96 tff(34176,assumption,(constB1 = VarCurr!0), introduced(assumption)).
% 9.01/6.96 tff(34177,plain,
% 9.01/6.96 (v193(constB1) <=> v193(VarCurr!0)),
% 9.01/6.96 inference(monotonicity,[status(thm)],[34176])).
% 9.01/6.96 tff(34178,plain,
% 9.01/6.96 (v193(VarCurr!0) <=> v193(constB1)),
% 9.01/6.96 inference(symmetry,[status(thm)],[34177])).
% 9.01/6.96 tff(34179,plain,
% 9.01/6.96 (v193(constB1)),
% 9.01/6.96 inference(modus_ponens,[status(thm)],[59, 34178])).
% 9.01/6.96 tff(34180,plain,
% 9.01/6.96 ($false),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[24220, 34179])).
% 9.01/6.96 tff(34181,plain,(~(constB1 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.01/6.96 tff(34182,assumption,(constB91 = VarCurr!0), introduced(assumption)).
% 9.01/6.96 tff(34183,plain,
% 9.01/6.96 (v193(constB91) <=> v193(VarCurr!0)),
% 9.01/6.96 inference(monotonicity,[status(thm)],[34182])).
% 9.01/6.96 tff(34184,plain,
% 9.01/6.96 (v193(VarCurr!0) <=> v193(constB91)),
% 9.01/6.96 inference(symmetry,[status(thm)],[34183])).
% 9.01/6.96 tff(34185,plain,
% 9.01/6.96 (v193(constB91)),
% 9.01/6.96 inference(modus_ponens,[status(thm)],[59, 34184])).
% 9.01/6.96 tff(34186,plain,
% 9.01/6.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB90, constB91)) | (v193(constB91) <=> v191(constB90)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB90, constB91)) | (v193(constB91) <=> v191(constB90)))),
% 9.01/6.96 inference(rewrite,[status(thm)],[])).
% 9.01/6.96 tff(34187,plain,
% 9.01/6.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB90, constB91)) | (v193(constB91) <=> v191(constB90)))),
% 9.01/6.96 inference(quant_inst,[status(thm)],[])).
% 9.01/6.96 tff(34188,plain,
% 9.01/6.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB90, constB91)) | (v193(constB91) <=> v191(constB90))),
% 9.01/6.96 inference(modus_ponens,[status(thm)],[34187, 34186])).
% 9.01/6.96 tff(34189,plain,
% 9.01/6.96 (v193(constB91) <=> v191(constB90)),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34188, 11130, 70])).
% 9.01/6.96 tff(34190,plain,
% 9.01/6.96 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB90) <=> (v194(constB90) | v198(constB90)))),
% 9.01/6.96 inference(quant_inst,[status(thm)],[])).
% 9.01/6.96 tff(34191,plain,
% 9.01/6.96 (v191(constB90) <=> (v194(constB90) | v198(constB90))),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34190, 84])).
% 9.01/6.96 tff(34192,plain,
% 9.01/6.96 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB90) <=> (~((~v199(constB90)) | (~v200(constB90)))))),
% 9.01/6.96 inference(quant_inst,[status(thm)],[])).
% 9.01/6.96 tff(34193,plain,
% 9.01/6.96 (v198(constB90) <=> (~((~v199(constB90)) | (~v200(constB90))))),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34192, 96])).
% 9.01/6.96 tff(34194,plain,
% 9.01/6.96 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB90) <=> (~((~v197(constB90)) | (~v201(constB90)))))),
% 9.01/6.96 inference(quant_inst,[status(thm)],[])).
% 9.01/6.96 tff(34195,plain,
% 9.01/6.96 (v200(constB90) <=> (~((~v197(constB90)) | (~v201(constB90))))),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34194, 108])).
% 9.01/6.96 tff(34196,plain,
% 9.01/6.96 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB90) <=> (~((~v39(constB90)) | (~v9(constB90)))))),
% 9.01/6.96 inference(quant_inst,[status(thm)],[])).
% 9.01/6.96 tff(34197,plain,
% 9.01/6.96 (v197(constB90) <=> (~((~v39(constB90)) | (~v9(constB90))))),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34196, 120])).
% 9.01/6.96 tff(34198,plain,
% 9.01/6.96 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB90)) <=> v1(constB90))),
% 9.01/6.96 inference(quant_inst,[status(thm)],[])).
% 9.01/6.96 tff(34199,plain,
% 9.01/6.96 ((~v39(constB90)) <=> v1(constB90)),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34198, 129])).
% 9.01/6.96 tff(34200,plain,
% 9.01/6.96 ((~((~v39(constB90)) <=> v1(constB90))) | (~v39(constB90)) | (~v1(constB90))),
% 9.01/6.96 inference(tautology,[status(thm)],[])).
% 9.01/6.96 tff(34201,plain,
% 9.01/6.96 ((~((~v39(constB90)) <=> v1(constB90))) | (~v39(constB90))),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34200, 12126])).
% 9.01/6.96 tff(34202,plain,
% 9.01/6.96 (~v39(constB90)),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34201, 34199])).
% 9.01/6.96 tff(34203,plain,
% 9.01/6.96 (((~v39(constB90)) | (~v9(constB90))) | v39(constB90)),
% 9.01/6.96 inference(tautology,[status(thm)],[])).
% 9.01/6.96 tff(34204,plain,
% 9.01/6.96 ((~v39(constB90)) | (~v9(constB90))),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34203, 34202])).
% 9.01/6.96 tff(34205,plain,
% 9.01/6.96 ((~(v197(constB90) <=> (~((~v39(constB90)) | (~v9(constB90)))))) | (~v197(constB90)) | (~((~v39(constB90)) | (~v9(constB90))))),
% 9.01/6.96 inference(tautology,[status(thm)],[])).
% 9.01/6.96 tff(34206,plain,
% 9.01/6.96 ((~(v197(constB90) <=> (~((~v39(constB90)) | (~v9(constB90)))))) | (~v197(constB90))),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34205, 34204])).
% 9.01/6.96 tff(34207,plain,
% 9.01/6.96 (~v197(constB90)),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34206, 34197])).
% 9.01/6.96 tff(34208,plain,
% 9.01/6.96 (((~v197(constB90)) | (~v201(constB90))) | v197(constB90)),
% 9.01/6.96 inference(tautology,[status(thm)],[])).
% 9.01/6.96 tff(34209,plain,
% 9.01/6.96 ((~v197(constB90)) | (~v201(constB90))),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34208, 34207])).
% 9.01/6.96 tff(34210,plain,
% 9.01/6.96 ((~(v200(constB90) <=> (~((~v197(constB90)) | (~v201(constB90)))))) | (~v200(constB90)) | (~((~v197(constB90)) | (~v201(constB90))))),
% 9.01/6.96 inference(tautology,[status(thm)],[])).
% 9.01/6.96 tff(34211,plain,
% 9.01/6.96 ((~(v200(constB90) <=> (~((~v197(constB90)) | (~v201(constB90)))))) | (~v200(constB90))),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34210, 34209])).
% 9.01/6.96 tff(34212,plain,
% 9.01/6.96 (~v200(constB90)),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34211, 34195])).
% 9.01/6.96 tff(34213,plain,
% 9.01/6.96 (((~v199(constB90)) | (~v200(constB90))) | v200(constB90)),
% 9.01/6.96 inference(tautology,[status(thm)],[])).
% 9.01/6.96 tff(34214,plain,
% 9.01/6.96 ((~v199(constB90)) | (~v200(constB90))),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34213, 34212])).
% 9.01/6.96 tff(34215,plain,
% 9.01/6.96 ((~(v198(constB90) <=> (~((~v199(constB90)) | (~v200(constB90)))))) | (~v198(constB90)) | (~((~v199(constB90)) | (~v200(constB90))))),
% 9.01/6.96 inference(tautology,[status(thm)],[])).
% 9.01/6.96 tff(34216,plain,
% 9.01/6.96 (~v198(constB90)),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34215, 34214, 34193])).
% 9.01/6.96 tff(34217,plain,
% 9.01/6.96 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB90) <=> (~((~v157(constB90)) | (~v195(constB90)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB90) <=> (~((~v157(constB90)) | (~v195(constB90))))))),
% 9.01/6.96 inference(rewrite,[status(thm)],[])).
% 9.01/6.96 tff(34218,plain,
% 9.01/6.96 ((v194(constB90) <=> (~((~v195(constB90)) | (~v157(constB90))))) <=> (v194(constB90) <=> (~((~v157(constB90)) | (~v195(constB90)))))),
% 9.01/6.96 inference(rewrite,[status(thm)],[])).
% 9.01/6.96 tff(34219,plain,
% 9.01/6.96 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB90) <=> (~((~v195(constB90)) | (~v157(constB90)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB90) <=> (~((~v157(constB90)) | (~v195(constB90))))))),
% 9.01/6.96 inference(monotonicity,[status(thm)],[34218])).
% 9.01/6.96 tff(34220,plain,
% 9.01/6.96 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB90) <=> (~((~v195(constB90)) | (~v157(constB90)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB90) <=> (~((~v157(constB90)) | (~v195(constB90))))))),
% 9.01/6.96 inference(transitivity,[status(thm)],[34219, 34217])).
% 9.01/6.96 tff(34221,plain,
% 9.01/6.96 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB90) <=> (~((~v195(constB90)) | (~v157(constB90)))))),
% 9.01/6.96 inference(quant_inst,[status(thm)],[])).
% 9.01/6.96 tff(34222,plain,
% 9.01/6.96 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB90) <=> (~((~v157(constB90)) | (~v195(constB90)))))),
% 9.01/6.96 inference(modus_ponens,[status(thm)],[34221, 34220])).
% 9.01/6.96 tff(34223,plain,
% 9.01/6.96 (v194(constB90) <=> (~((~v157(constB90)) | (~v195(constB90))))),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34222, 161])).
% 9.01/6.96 tff(34224,plain,
% 9.01/6.96 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB90) <=> v193(constB90))),
% 9.01/6.96 inference(quant_inst,[status(thm)],[])).
% 9.01/6.96 tff(34225,plain,
% 9.01/6.96 (v157(constB90) <=> v193(constB90)),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34224, 13])).
% 9.01/6.96 tff(34226,plain,
% 9.01/6.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB89, constB90)) | (v193(constB90) <=> v191(constB89)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB89, constB90)) | (v193(constB90) <=> v191(constB89)))),
% 9.01/6.96 inference(rewrite,[status(thm)],[])).
% 9.01/6.96 tff(34227,plain,
% 9.01/6.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB89, constB90)) | (v193(constB90) <=> v191(constB89)))),
% 9.01/6.96 inference(quant_inst,[status(thm)],[])).
% 9.01/6.96 tff(34228,plain,
% 9.01/6.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB89, constB90)) | (v193(constB90) <=> v191(constB89))),
% 9.01/6.96 inference(modus_ponens,[status(thm)],[34227, 34226])).
% 9.01/6.96 tff(34229,plain,
% 9.01/6.96 (v193(constB90) <=> v191(constB89)),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34228, 11166, 70])).
% 9.01/6.96 tff(34230,plain,
% 9.01/6.96 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB89) <=> (v194(constB89) | v198(constB89)))),
% 9.01/6.96 inference(quant_inst,[status(thm)],[])).
% 9.01/6.96 tff(34231,plain,
% 9.01/6.96 (v191(constB89) <=> (v194(constB89) | v198(constB89))),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34230, 84])).
% 9.01/6.96 tff(34232,plain,
% 9.01/6.96 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB89) <=> (~((~v157(constB89)) | (~v195(constB89)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB89) <=> (~((~v157(constB89)) | (~v195(constB89))))))),
% 9.01/6.96 inference(rewrite,[status(thm)],[])).
% 9.01/6.96 tff(34233,plain,
% 9.01/6.96 ((v194(constB89) <=> (~((~v195(constB89)) | (~v157(constB89))))) <=> (v194(constB89) <=> (~((~v157(constB89)) | (~v195(constB89)))))),
% 9.01/6.96 inference(rewrite,[status(thm)],[])).
% 9.01/6.96 tff(34234,plain,
% 9.01/6.96 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB89) <=> (~((~v195(constB89)) | (~v157(constB89)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB89) <=> (~((~v157(constB89)) | (~v195(constB89))))))),
% 9.01/6.96 inference(monotonicity,[status(thm)],[34233])).
% 9.01/6.96 tff(34235,plain,
% 9.01/6.96 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB89) <=> (~((~v195(constB89)) | (~v157(constB89)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB89) <=> (~((~v157(constB89)) | (~v195(constB89))))))),
% 9.01/6.96 inference(transitivity,[status(thm)],[34234, 34232])).
% 9.01/6.96 tff(34236,plain,
% 9.01/6.96 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB89) <=> (~((~v195(constB89)) | (~v157(constB89)))))),
% 9.01/6.96 inference(quant_inst,[status(thm)],[])).
% 9.01/6.96 tff(34237,plain,
% 9.01/6.96 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB89) <=> (~((~v157(constB89)) | (~v195(constB89)))))),
% 9.01/6.96 inference(modus_ponens,[status(thm)],[34236, 34235])).
% 9.01/6.96 tff(34238,plain,
% 9.01/6.96 (v194(constB89) <=> (~((~v157(constB89)) | (~v195(constB89))))),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34237, 161])).
% 9.01/6.96 tff(34239,plain,
% 9.01/6.96 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB89)) <=> v196(constB89))),
% 9.01/6.96 inference(quant_inst,[status(thm)],[])).
% 9.01/6.96 tff(34240,plain,
% 9.01/6.96 ((~v195(constB89)) <=> v196(constB89)),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34239, 193])).
% 9.01/6.96 tff(34241,plain,
% 9.01/6.96 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB89) <=> (v197(constB89) | v26(constB89)))),
% 9.01/6.96 inference(quant_inst,[status(thm)],[])).
% 9.01/6.96 tff(34242,plain,
% 9.01/6.96 (v196(constB89) <=> (v197(constB89) | v26(constB89))),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34241, 202])).
% 9.01/6.96 tff(34243,plain,
% 9.01/6.96 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB89) <=> (~((~v39(constB89)) | (~v9(constB89)))))),
% 9.01/6.96 inference(quant_inst,[status(thm)],[])).
% 9.01/6.96 tff(34244,plain,
% 9.01/6.96 (v197(constB89) <=> (~((~v39(constB89)) | (~v9(constB89))))),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34243, 120])).
% 9.01/6.96 tff(34245,plain,
% 9.01/6.96 (((~![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)))),
% 9.01/6.96 inference(rewrite,[status(thm)],[])).
% 9.01/6.96 tff(34246,plain,
% 9.01/6.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB89, constB90)) | (v13(constB90) <=> v9(constB89)))),
% 9.01/6.96 inference(quant_inst,[status(thm)],[])).
% 9.01/6.96 tff(34247,plain,
% 9.01/6.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB89, constB90)) | (v13(constB90) <=> v9(constB89))),
% 9.01/6.96 inference(modus_ponens,[status(thm)],[34246, 34245])).
% 9.01/6.96 tff(34248,plain,
% 9.01/6.96 (v13(constB90) <=> v9(constB89)),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34247, 11166, 216])).
% 9.01/6.96 tff(34249,plain,
% 9.01/6.96 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB90) <=> v13(constB90))),
% 9.01/6.96 inference(quant_inst,[status(thm)],[])).
% 9.01/6.96 tff(34250,plain,
% 9.01/6.96 (v6(constB90) <=> v13(constB90)),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34249, 230])).
% 9.01/6.96 tff(34251,plain,
% 9.01/6.96 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB90)) <=> v6(constB90))),
% 9.01/6.96 inference(quant_inst,[status(thm)],[])).
% 9.01/6.96 tff(34252,plain,
% 9.01/6.96 ((~v21(constB90)) <=> v6(constB90)),
% 9.01/6.96 inference(unit_resolution,[status(thm)],[34251, 239])).
% 9.01/6.96 tff(34253,plain,
% 9.01/6.96 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB90) <=> (v20(constB90) | v21(constB90)))),
% 9.01/6.96 inference(quant_inst,[status(thm)],[])).
% 9.01/6.97 tff(34254,plain,
% 9.01/6.97 (v19(constB90) <=> (v20(constB90) | v21(constB90))),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34253, 248])).
% 9.01/6.97 tff(34255,plain,
% 9.01/6.97 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB90) <=> (~((~v19(constB90)) | (~v22(constB90)))))),
% 9.01/6.97 inference(quant_inst,[status(thm)],[])).
% 9.01/6.97 tff(34256,plain,
% 9.01/6.97 (v18(constB90) <=> (~((~v19(constB90)) | (~v22(constB90))))),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34255, 260])).
% 9.01/6.97 tff(34257,plain,
% 9.01/6.97 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB90)) <=> v18(constB90))),
% 9.01/6.97 inference(quant_inst,[status(thm)],[])).
% 9.01/6.97 tff(34258,plain,
% 9.01/6.97 ((~v4(constB90)) <=> v18(constB90)),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34257, 269])).
% 9.01/6.97 tff(34259,plain,
% 9.01/6.97 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB90)),
% 9.01/6.97 inference(quant_inst,[status(thm)],[])).
% 9.01/6.97 tff(34260,plain,
% 9.01/6.97 (v4(constB90)),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34259, 278])).
% 9.01/6.97 tff(34261,plain,
% 9.01/6.97 ((~((~v4(constB90)) <=> v18(constB90))) | (~v4(constB90)) | (~v18(constB90))),
% 9.01/6.97 inference(tautology,[status(thm)],[])).
% 9.01/6.97 tff(34262,plain,
% 9.01/6.97 (~v18(constB90)),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34261, 34260, 34258])).
% 9.01/6.97 tff(34263,plain,
% 9.01/6.97 ((~(v18(constB90) <=> (~((~v19(constB90)) | (~v22(constB90)))))) | v18(constB90) | ((~v19(constB90)) | (~v22(constB90)))),
% 9.01/6.97 inference(tautology,[status(thm)],[])).
% 9.01/6.97 tff(34264,plain,
% 9.01/6.97 ((~v19(constB90)) | (~v22(constB90))),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34263, 34262, 34256])).
% 9.01/6.97 tff(34265,plain,
% 9.01/6.97 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB90) <=> (v1(constB90) | v6(constB90)))),
% 9.01/6.97 inference(quant_inst,[status(thm)],[])).
% 9.01/6.97 tff(34266,plain,
% 9.01/6.97 (v22(constB90) <=> (v1(constB90) | v6(constB90))),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34265, 291])).
% 9.01/6.97 tff(34267,plain,
% 9.01/6.97 ((v1(constB90) | v6(constB90)) | (~v1(constB90))),
% 9.01/6.97 inference(tautology,[status(thm)],[])).
% 9.01/6.97 tff(34268,plain,
% 9.01/6.97 (v1(constB90) | v6(constB90)),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34267, 12126])).
% 9.01/6.97 tff(34269,plain,
% 9.01/6.97 ((~(v22(constB90) <=> (v1(constB90) | v6(constB90)))) | v22(constB90) | (~(v1(constB90) | v6(constB90)))),
% 9.01/6.97 inference(tautology,[status(thm)],[])).
% 9.01/6.97 tff(34270,plain,
% 9.01/6.97 ((~(v22(constB90) <=> (v1(constB90) | v6(constB90)))) | v22(constB90)),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34269, 34268])).
% 9.01/6.97 tff(34271,plain,
% 9.01/6.97 (v22(constB90)),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34270, 34266])).
% 9.01/6.97 tff(34272,plain,
% 9.01/6.97 ((~((~v19(constB90)) | (~v22(constB90)))) | (~v19(constB90)) | (~v22(constB90))),
% 9.01/6.97 inference(tautology,[status(thm)],[])).
% 9.01/6.97 tff(34273,plain,
% 9.01/6.97 ((~((~v19(constB90)) | (~v22(constB90)))) | (~v19(constB90))),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34272, 34271])).
% 9.01/6.97 tff(34274,plain,
% 9.01/6.97 (~v19(constB90)),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34273, 34264])).
% 9.01/6.97 tff(34275,plain,
% 9.01/6.97 ((~(v19(constB90) <=> (v20(constB90) | v21(constB90)))) | v19(constB90) | (~(v20(constB90) | v21(constB90)))),
% 9.01/6.97 inference(tautology,[status(thm)],[])).
% 9.01/6.97 tff(34276,plain,
% 9.01/6.97 (~(v20(constB90) | v21(constB90))),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34275, 34274, 34254])).
% 9.01/6.97 tff(34277,plain,
% 9.01/6.97 ((v20(constB90) | v21(constB90)) | (~v21(constB90))),
% 9.01/6.97 inference(tautology,[status(thm)],[])).
% 9.01/6.97 tff(34278,plain,
% 9.01/6.97 (~v21(constB90)),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34277, 34276])).
% 9.01/6.97 tff(34279,plain,
% 9.01/6.97 ((~((~v21(constB90)) <=> v6(constB90))) | v21(constB90) | v6(constB90)),
% 9.01/6.97 inference(tautology,[status(thm)],[])).
% 9.01/6.97 tff(34280,plain,
% 9.01/6.97 (v6(constB90)),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34279, 34278, 34252])).
% 9.01/6.97 tff(34281,plain,
% 9.01/6.97 ((~(v6(constB90) <=> v13(constB90))) | (~v6(constB90)) | v13(constB90)),
% 9.01/6.97 inference(tautology,[status(thm)],[])).
% 9.01/6.97 tff(34282,plain,
% 9.01/6.97 (v13(constB90)),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34281, 34280, 34250])).
% 9.01/6.97 tff(34283,plain,
% 9.01/6.97 ((~(v13(constB90) <=> v9(constB89))) | (~v13(constB90)) | v9(constB89)),
% 9.01/6.97 inference(tautology,[status(thm)],[])).
% 9.01/6.97 tff(34284,plain,
% 9.01/6.97 (v9(constB89)),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34283, 34282, 34248])).
% 9.01/6.97 tff(34285,plain,
% 9.01/6.97 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB89)) <=> v1(constB89))),
% 9.01/6.97 inference(quant_inst,[status(thm)],[])).
% 9.01/6.97 tff(34286,plain,
% 9.01/6.97 ((~v39(constB89)) <=> v1(constB89)),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34285, 129])).
% 9.01/6.97 tff(34287,plain,
% 9.01/6.97 ((~((~v39(constB89)) <=> v1(constB89))) | v39(constB89) | v1(constB89)),
% 9.01/6.97 inference(tautology,[status(thm)],[])).
% 9.01/6.97 tff(34288,plain,
% 9.01/6.97 ((~((~v39(constB89)) <=> v1(constB89))) | v39(constB89)),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34287, 11210])).
% 9.01/6.97 tff(34289,plain,
% 9.01/6.97 (v39(constB89)),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34288, 34286])).
% 9.01/6.97 tff(34290,plain,
% 9.01/6.97 ((~((~v39(constB89)) | (~v9(constB89)))) | (~v39(constB89)) | (~v9(constB89))),
% 9.01/6.97 inference(tautology,[status(thm)],[])).
% 9.01/6.97 tff(34291,plain,
% 9.01/6.97 ((~((~v39(constB89)) | (~v9(constB89)))) | (~v9(constB89))),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34290, 34289])).
% 9.01/6.97 tff(34292,plain,
% 9.01/6.97 (~((~v39(constB89)) | (~v9(constB89)))),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34291, 34284])).
% 9.01/6.97 tff(34293,plain,
% 9.01/6.97 ((~(v197(constB89) <=> (~((~v39(constB89)) | (~v9(constB89)))))) | v197(constB89) | ((~v39(constB89)) | (~v9(constB89)))),
% 9.01/6.97 inference(tautology,[status(thm)],[])).
% 9.01/6.97 tff(34294,plain,
% 9.01/6.97 (v197(constB89)),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34293, 34292, 34244])).
% 9.01/6.97 tff(34295,plain,
% 9.01/6.97 ((v197(constB89) | v26(constB89)) | (~v197(constB89))),
% 9.01/6.97 inference(tautology,[status(thm)],[])).
% 9.01/6.97 tff(34296,plain,
% 9.01/6.97 (v197(constB89) | v26(constB89)),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34295, 34294])).
% 9.01/6.97 tff(34297,plain,
% 9.01/6.97 ((~(v196(constB89) <=> (v197(constB89) | v26(constB89)))) | v196(constB89) | (~(v197(constB89) | v26(constB89)))),
% 9.01/6.97 inference(tautology,[status(thm)],[])).
% 9.01/6.97 tff(34298,plain,
% 9.01/6.97 (v196(constB89)),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34297, 34296, 34242])).
% 9.01/6.97 tff(34299,plain,
% 9.01/6.97 ((~((~v195(constB89)) <=> v196(constB89))) | (~v195(constB89)) | (~v196(constB89))),
% 9.01/6.97 inference(tautology,[status(thm)],[])).
% 9.01/6.97 tff(34300,plain,
% 9.01/6.97 (~v195(constB89)),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34299, 34298, 34240])).
% 9.01/6.97 tff(34301,plain,
% 9.01/6.97 (((~v157(constB89)) | (~v195(constB89))) | v195(constB89)),
% 9.01/6.97 inference(tautology,[status(thm)],[])).
% 9.01/6.97 tff(34302,plain,
% 9.01/6.97 ((~v157(constB89)) | (~v195(constB89))),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34301, 34300])).
% 9.01/6.97 tff(34303,plain,
% 9.01/6.97 ((~(v194(constB89) <=> (~((~v157(constB89)) | (~v195(constB89)))))) | (~v194(constB89)) | (~((~v157(constB89)) | (~v195(constB89))))),
% 9.01/6.97 inference(tautology,[status(thm)],[])).
% 9.01/6.97 tff(34304,plain,
% 9.01/6.97 (~v194(constB89)),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34303, 34302, 34238])).
% 9.01/6.97 tff(34305,plain,
% 9.01/6.97 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB89) <=> (~((~v199(constB89)) | (~v200(constB89)))))),
% 9.01/6.97 inference(quant_inst,[status(thm)],[])).
% 9.01/6.97 tff(34306,plain,
% 9.01/6.97 (v198(constB89) <=> (~((~v199(constB89)) | (~v200(constB89))))),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34305, 96])).
% 9.01/6.97 tff(34307,plain,
% 9.01/6.97 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB89) <=> (~((~v197(constB89)) | (~v201(constB89)))))),
% 9.01/6.97 inference(quant_inst,[status(thm)],[])).
% 9.01/6.97 tff(34308,plain,
% 9.01/6.97 (v200(constB89) <=> (~((~v197(constB89)) | (~v201(constB89))))),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34307, 108])).
% 9.01/6.97 tff(34309,plain,
% 9.01/6.97 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB89) <=> (~((~v159(constB89)) | (~v161(constB89)))))),
% 9.01/6.97 inference(quant_inst,[status(thm)],[])).
% 9.01/6.97 tff(34310,plain,
% 9.01/6.97 (v201(constB89) <=> (~((~v159(constB89)) | (~v161(constB89))))),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34309, 348])).
% 9.01/6.97 tff(34311,plain,
% 9.01/6.97 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB89) <=> v163(constB89))),
% 9.01/6.97 inference(quant_inst,[status(thm)],[])).
% 9.01/6.97 tff(34312,plain,
% 9.01/6.97 (v161(constB89) <=> v163(constB89)),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34311, 357])).
% 9.01/6.97 tff(34313,plain,
% 9.01/6.97 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB89) <=> (v145(constB89) | v167(constB89)))),
% 9.01/6.97 inference(quant_inst,[status(thm)],[])).
% 9.01/6.97 tff(34314,plain,
% 9.01/6.97 (v166(constB89) <=> (v145(constB89) | v167(constB89))),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34313, 369])).
% 9.01/6.97 tff(34315,plain,
% 9.01/6.97 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB89) <=> (v142(constB89) | v168(constB89)))),
% 9.01/6.97 inference(quant_inst,[status(thm)],[])).
% 9.01/6.97 tff(34316,plain,
% 9.01/6.97 (v167(constB89) <=> (v142(constB89) | v168(constB89))),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34315, 381])).
% 9.01/6.97 tff(34317,plain,
% 9.01/6.97 ((v142(constB89) | v168(constB89)) | (~v142(constB89))),
% 9.01/6.97 inference(tautology,[status(thm)],[])).
% 9.01/6.97 tff(34318,plain,
% 9.01/6.97 (v142(constB89) | v168(constB89)),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34317, 24845])).
% 9.01/6.97 tff(34319,plain,
% 9.01/6.97 ((~(v167(constB89) <=> (v142(constB89) | v168(constB89)))) | v167(constB89) | (~(v142(constB89) | v168(constB89)))),
% 9.01/6.97 inference(tautology,[status(thm)],[])).
% 9.01/6.97 tff(34320,plain,
% 9.01/6.97 ((~(v167(constB89) <=> (v142(constB89) | v168(constB89)))) | v167(constB89)),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34319, 34318])).
% 9.01/6.97 tff(34321,plain,
% 9.01/6.97 (v167(constB89)),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34320, 34316])).
% 9.01/6.97 tff(34322,plain,
% 9.01/6.97 ((v145(constB89) | v167(constB89)) | (~v167(constB89))),
% 9.01/6.97 inference(tautology,[status(thm)],[])).
% 9.01/6.97 tff(34323,plain,
% 9.01/6.97 (v145(constB89) | v167(constB89)),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34322, 34321])).
% 9.01/6.97 tff(34324,plain,
% 9.01/6.97 ((~(v166(constB89) <=> (v145(constB89) | v167(constB89)))) | v166(constB89) | (~(v145(constB89) | v167(constB89)))),
% 9.01/6.97 inference(tautology,[status(thm)],[])).
% 9.01/6.97 tff(34325,plain,
% 9.01/6.97 (v166(constB89)),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34324, 34323, 34314])).
% 9.01/6.97 tff(34326,plain,
% 9.01/6.97 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB89)) | (v163(constB89) <=> v170(constB89)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB89)) | (v163(constB89) <=> v170(constB89)))),
% 9.01/6.97 inference(rewrite,[status(thm)],[])).
% 9.01/6.97 tff(34327,plain,
% 9.01/6.97 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB89)) | (v163(constB89) <=> v170(constB89)))),
% 9.01/6.97 inference(quant_inst,[status(thm)],[])).
% 9.01/6.97 tff(34328,plain,
% 9.01/6.97 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB89)) | (v163(constB89) <=> v170(constB89))),
% 9.01/6.97 inference(modus_ponens,[status(thm)],[34327, 34326])).
% 9.01/6.97 tff(34329,plain,
% 9.01/6.97 ((~v166(constB89)) | (v163(constB89) <=> v170(constB89))),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34328, 9851])).
% 9.01/6.97 tff(34330,plain,
% 9.01/6.97 (v163(constB89) <=> v170(constB89)),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34329, 34325])).
% 9.01/6.97 tff(34331,plain,
% 9.01/6.97 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB89) <=> (v142(constB89) | v150(constB89)))),
% 9.01/6.97 inference(quant_inst,[status(thm)],[])).
% 9.01/6.97 tff(34332,plain,
% 9.01/6.97 (v171(constB89) <=> (v142(constB89) | v150(constB89))),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34331, 9866])).
% 9.01/6.97 tff(34333,plain,
% 9.01/6.97 ((v142(constB89) | v150(constB89)) | (~v142(constB89))),
% 9.01/6.97 inference(tautology,[status(thm)],[])).
% 9.01/6.97 tff(34334,plain,
% 9.01/6.97 (v142(constB89) | v150(constB89)),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34333, 24845])).
% 9.01/6.97 tff(34335,plain,
% 9.01/6.97 ((~(v171(constB89) <=> (v142(constB89) | v150(constB89)))) | v171(constB89) | (~(v142(constB89) | v150(constB89)))),
% 9.01/6.97 inference(tautology,[status(thm)],[])).
% 9.01/6.97 tff(34336,plain,
% 9.01/6.97 ((~(v171(constB89) <=> (v142(constB89) | v150(constB89)))) | v171(constB89)),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34335, 34334])).
% 9.01/6.97 tff(34337,plain,
% 9.01/6.97 (v171(constB89)),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34336, 34332])).
% 9.01/6.97 tff(34338,plain,
% 9.01/6.97 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB89)) | (~v171(constB89)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB89)) | (~v171(constB89)))),
% 9.01/6.97 inference(rewrite,[status(thm)],[])).
% 9.01/6.97 tff(34339,plain,
% 9.01/6.97 (((~v171(constB89)) | (~v170(constB89))) <=> ((~v170(constB89)) | (~v171(constB89)))),
% 9.01/6.97 inference(rewrite,[status(thm)],[])).
% 9.01/6.97 tff(34340,plain,
% 9.01/6.97 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB89)) | (~v170(constB89)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB89)) | (~v171(constB89))))),
% 9.01/6.97 inference(monotonicity,[status(thm)],[34339])).
% 9.01/6.97 tff(34341,plain,
% 9.01/6.97 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB89)) | (~v170(constB89)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB89)) | (~v171(constB89)))),
% 9.01/6.97 inference(transitivity,[status(thm)],[34340, 34338])).
% 9.01/6.97 tff(34342,plain,
% 9.01/6.97 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB89)) | (~v170(constB89)))),
% 9.01/6.97 inference(quant_inst,[status(thm)],[])).
% 9.01/6.97 tff(34343,plain,
% 9.01/6.97 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB89)) | (~v171(constB89))),
% 9.01/6.97 inference(modus_ponens,[status(thm)],[34342, 34341])).
% 9.01/6.97 tff(34344,plain,
% 9.01/6.97 (~v170(constB89)),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34343, 9899, 34337])).
% 9.01/6.97 tff(34345,plain,
% 9.01/6.97 ((~(v163(constB89) <=> v170(constB89))) | (~v163(constB89)) | v170(constB89)),
% 9.01/6.97 inference(tautology,[status(thm)],[])).
% 9.01/6.97 tff(34346,plain,
% 9.01/6.97 (~v163(constB89)),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34345, 34344, 34330])).
% 9.01/6.97 tff(34347,plain,
% 9.01/6.97 ((~(v161(constB89) <=> v163(constB89))) | (~v161(constB89)) | v163(constB89)),
% 9.01/6.97 inference(tautology,[status(thm)],[])).
% 9.01/6.97 tff(34348,plain,
% 9.01/6.97 (~v161(constB89)),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34347, 34346, 34312])).
% 9.01/6.97 tff(34349,plain,
% 9.01/6.97 (((~v159(constB89)) | (~v161(constB89))) | v161(constB89)),
% 9.01/6.97 inference(tautology,[status(thm)],[])).
% 9.01/6.97 tff(34350,plain,
% 9.01/6.97 ((~v159(constB89)) | (~v161(constB89))),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34349, 34348])).
% 9.01/6.97 tff(34351,plain,
% 9.01/6.97 ((~(v201(constB89) <=> (~((~v159(constB89)) | (~v161(constB89)))))) | (~v201(constB89)) | (~((~v159(constB89)) | (~v161(constB89))))),
% 9.01/6.97 inference(tautology,[status(thm)],[])).
% 9.01/6.97 tff(34352,plain,
% 9.01/6.97 (~v201(constB89)),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34351, 34350, 34310])).
% 9.01/6.97 tff(34353,plain,
% 9.01/6.97 (((~v197(constB89)) | (~v201(constB89))) | v201(constB89)),
% 9.01/6.97 inference(tautology,[status(thm)],[])).
% 9.01/6.97 tff(34354,plain,
% 9.01/6.97 ((~v197(constB89)) | (~v201(constB89))),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34353, 34352])).
% 9.01/6.97 tff(34355,plain,
% 9.01/6.97 ((~(v200(constB89) <=> (~((~v197(constB89)) | (~v201(constB89)))))) | (~v200(constB89)) | (~((~v197(constB89)) | (~v201(constB89))))),
% 9.01/6.97 inference(tautology,[status(thm)],[])).
% 9.01/6.97 tff(34356,plain,
% 9.01/6.97 (~v200(constB89)),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34355, 34354, 34308])).
% 9.01/6.97 tff(34357,plain,
% 9.01/6.97 (((~v199(constB89)) | (~v200(constB89))) | v200(constB89)),
% 9.01/6.97 inference(tautology,[status(thm)],[])).
% 9.01/6.97 tff(34358,plain,
% 9.01/6.97 ((~v199(constB89)) | (~v200(constB89))),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34357, 34356])).
% 9.01/6.97 tff(34359,plain,
% 9.01/6.97 ((~(v198(constB89) <=> (~((~v199(constB89)) | (~v200(constB89)))))) | (~v198(constB89)) | (~((~v199(constB89)) | (~v200(constB89))))),
% 9.01/6.97 inference(tautology,[status(thm)],[])).
% 9.01/6.97 tff(34360,plain,
% 9.01/6.97 (~v198(constB89)),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34359, 34358, 34306])).
% 9.01/6.97 tff(34361,plain,
% 9.01/6.97 ((~(v194(constB89) | v198(constB89))) | v194(constB89) | v198(constB89)),
% 9.01/6.97 inference(tautology,[status(thm)],[])).
% 9.01/6.97 tff(34362,plain,
% 9.01/6.97 (~(v194(constB89) | v198(constB89))),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34361, 34360, 34304])).
% 9.01/6.97 tff(34363,plain,
% 9.01/6.97 ((~(v191(constB89) <=> (v194(constB89) | v198(constB89)))) | (~v191(constB89)) | (v194(constB89) | v198(constB89))),
% 9.01/6.97 inference(tautology,[status(thm)],[])).
% 9.01/6.97 tff(34364,plain,
% 9.01/6.97 (~v191(constB89)),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34363, 34362, 34231])).
% 9.01/6.97 tff(34365,plain,
% 9.01/6.97 ((~(v193(constB90) <=> v191(constB89))) | (~v193(constB90)) | v191(constB89)),
% 9.01/6.97 inference(tautology,[status(thm)],[])).
% 9.01/6.97 tff(34366,plain,
% 9.01/6.97 (~v193(constB90)),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34365, 34364, 34229])).
% 9.01/6.97 tff(34367,plain,
% 9.01/6.97 ((~(v157(constB90) <=> v193(constB90))) | (~v157(constB90)) | v193(constB90)),
% 9.01/6.97 inference(tautology,[status(thm)],[])).
% 9.01/6.97 tff(34368,plain,
% 9.01/6.97 (~v157(constB90)),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34367, 34366, 34225])).
% 9.01/6.97 tff(34369,plain,
% 9.01/6.97 (((~v157(constB90)) | (~v195(constB90))) | v157(constB90)),
% 9.01/6.97 inference(tautology,[status(thm)],[])).
% 9.01/6.97 tff(34370,plain,
% 9.01/6.97 ((~v157(constB90)) | (~v195(constB90))),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34369, 34368])).
% 9.01/6.97 tff(34371,plain,
% 9.01/6.97 ((~(v194(constB90) <=> (~((~v157(constB90)) | (~v195(constB90)))))) | (~v194(constB90)) | (~((~v157(constB90)) | (~v195(constB90))))),
% 9.01/6.97 inference(tautology,[status(thm)],[])).
% 9.01/6.97 tff(34372,plain,
% 9.01/6.97 (~v194(constB90)),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34371, 34370, 34223])).
% 9.01/6.97 tff(34373,plain,
% 9.01/6.97 ((~(v194(constB90) | v198(constB90))) | v194(constB90) | v198(constB90)),
% 9.01/6.97 inference(tautology,[status(thm)],[])).
% 9.01/6.97 tff(34374,plain,
% 9.01/6.97 (~(v194(constB90) | v198(constB90))),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34373, 34372, 34216])).
% 9.01/6.97 tff(34375,plain,
% 9.01/6.97 ((~(v191(constB90) <=> (v194(constB90) | v198(constB90)))) | (~v191(constB90)) | (v194(constB90) | v198(constB90))),
% 9.01/6.97 inference(tautology,[status(thm)],[])).
% 9.01/6.97 tff(34376,plain,
% 9.01/6.97 (~v191(constB90)),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34375, 34374, 34191])).
% 9.01/6.97 tff(34377,plain,
% 9.01/6.97 ((~(v193(constB91) <=> v191(constB90))) | (~v193(constB91)) | v191(constB90)),
% 9.01/6.97 inference(tautology,[status(thm)],[])).
% 9.01/6.97 tff(34378,plain,
% 9.01/6.97 (~v193(constB91)),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34377, 34376, 34189])).
% 9.01/6.97 tff(34379,plain,
% 9.01/6.97 ($false),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34378, 34185])).
% 9.01/6.97 tff(34380,plain,(~(constB91 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.01/6.97 tff(34381,assumption,(constB125 = VarCurr!0), introduced(assumption)).
% 9.01/6.97 tff(34382,plain,
% 9.01/6.97 (v86(constB125) <=> v86(VarCurr!0)),
% 9.01/6.97 inference(monotonicity,[status(thm)],[34381])).
% 9.01/6.97 tff(34383,plain,
% 9.01/6.97 (v86(VarCurr!0) <=> v86(constB125)),
% 9.01/6.97 inference(symmetry,[status(thm)],[34382])).
% 9.01/6.97 tff(34384,plain,
% 9.01/6.97 ((~v86(VarCurr!0)) <=> (~v86(constB125))),
% 9.01/6.97 inference(monotonicity,[status(thm)],[34383])).
% 9.01/6.97 tff(34385,plain,
% 9.01/6.97 (~v86(constB125)),
% 9.01/6.97 inference(modus_ponens,[status(thm)],[14736, 34384])).
% 9.01/6.97 tff(34386,plain,
% 9.01/6.97 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB125) <=> (v136(constB125) | v145(constB125)))),
% 9.01/6.97 inference(quant_inst,[status(thm)],[])).
% 9.01/6.97 tff(34387,plain,
% 9.01/6.97 (v135(constB125) <=> (v136(constB125) | v145(constB125))),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34386, 14744])).
% 9.01/6.97 tff(34388,plain,
% 9.01/6.97 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB125) <=> (v137(constB125) | v142(constB125)))),
% 9.01/6.97 inference(quant_inst,[status(thm)],[])).
% 9.01/6.97 tff(34389,plain,
% 9.01/6.97 (v136(constB125) <=> (v137(constB125) | v142(constB125))),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34388, 14753])).
% 9.01/6.97 tff(34390,plain,
% 9.01/6.97 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB125) <=> (v143(constB125) | v144(constB125)))),
% 9.01/6.97 inference(quant_inst,[status(thm)],[])).
% 9.01/6.97 tff(34391,plain,
% 9.01/6.97 (v142(constB125) <=> (v143(constB125) | v144(constB125))),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34390, 10332])).
% 9.01/6.97 tff(34392,plain,
% 9.01/6.97 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB125) <=> (~((~v88(constB125, bitIndex1)) | (~v88(constB125, bitIndex2)) | v88(constB125, bitIndex0))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB125) <=> (~((~v88(constB125, bitIndex1)) | (~v88(constB125, bitIndex2)) | v88(constB125, bitIndex0)))))),
% 9.01/6.97 inference(rewrite,[status(thm)],[])).
% 9.01/6.97 tff(34393,plain,
% 9.01/6.97 ((v144(constB125) <=> (~(v88(constB125, bitIndex0) | (~v88(constB125, bitIndex1)) | (~v88(constB125, bitIndex2))))) <=> (v144(constB125) <=> (~((~v88(constB125, bitIndex1)) | (~v88(constB125, bitIndex2)) | v88(constB125, bitIndex0))))),
% 9.01/6.97 inference(rewrite,[status(thm)],[])).
% 9.01/6.97 tff(34394,plain,
% 9.01/6.97 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB125) <=> (~(v88(constB125, bitIndex0) | (~v88(constB125, bitIndex1)) | (~v88(constB125, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB125) <=> (~((~v88(constB125, bitIndex1)) | (~v88(constB125, bitIndex2)) | v88(constB125, bitIndex0)))))),
% 9.01/6.97 inference(monotonicity,[status(thm)],[34393])).
% 9.01/6.97 tff(34395,plain,
% 9.01/6.97 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB125) <=> (~(v88(constB125, bitIndex0) | (~v88(constB125, bitIndex1)) | (~v88(constB125, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB125) <=> (~((~v88(constB125, bitIndex1)) | (~v88(constB125, bitIndex2)) | v88(constB125, bitIndex0)))))),
% 9.01/6.97 inference(transitivity,[status(thm)],[34394, 34392])).
% 9.01/6.97 tff(34396,plain,
% 9.01/6.97 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB125) <=> (~(v88(constB125, bitIndex0) | (~v88(constB125, bitIndex1)) | (~v88(constB125, bitIndex2)))))),
% 9.01/6.97 inference(quant_inst,[status(thm)],[])).
% 9.01/6.97 tff(34397,plain,
% 9.01/6.97 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB125) <=> (~((~v88(constB125, bitIndex1)) | (~v88(constB125, bitIndex2)) | v88(constB125, bitIndex0))))),
% 9.01/6.97 inference(modus_ponens,[status(thm)],[34396, 34395])).
% 9.01/6.97 tff(34398,plain,
% 9.01/6.97 (v144(constB125) <=> (~((~v88(constB125, bitIndex1)) | (~v88(constB125, bitIndex2)) | v88(constB125, bitIndex0)))),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34397, 10347])).
% 9.01/6.97 tff(34399,plain,
% 9.01/6.97 ((~![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))) | (~(((~v88(constB125, bitIndex1)) <=> v90(constB125, bitIndex1)) | ((~v88(constB125, bitIndex2)) <=> v90(constB125, bitIndex2)) | ((~v88(constB125, bitIndex0)) <=> v90(constB125, bitIndex0))))),
% 9.01/6.97 inference(quant_inst,[status(thm)],[])).
% 9.01/6.97 tff(34400,plain,
% 9.01/6.97 (~(((~v88(constB125, bitIndex1)) <=> v90(constB125, bitIndex1)) | ((~v88(constB125, bitIndex2)) <=> v90(constB125, bitIndex2)) | ((~v88(constB125, bitIndex0)) <=> v90(constB125, bitIndex0)))),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34399, 428])).
% 9.01/6.97 tff(34401,plain,
% 9.01/6.97 ((((~v88(constB125, bitIndex1)) <=> v90(constB125, bitIndex1)) | ((~v88(constB125, bitIndex2)) <=> v90(constB125, bitIndex2)) | ((~v88(constB125, bitIndex0)) <=> v90(constB125, bitIndex0))) | (~((~v88(constB125, bitIndex2)) <=> v90(constB125, bitIndex2)))),
% 9.01/6.97 inference(tautology,[status(thm)],[])).
% 9.01/6.97 tff(34402,plain,
% 9.01/6.97 (~((~v88(constB125, bitIndex2)) <=> v90(constB125, bitIndex2))),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34401, 34400])).
% 9.01/6.97 tff(34403,plain,
% 9.01/6.97 (((~v88(constB125, bitIndex2)) <=> v90(constB125, bitIndex2)) | v88(constB125, bitIndex2) | (~v90(constB125, bitIndex2))),
% 9.01/6.97 inference(tautology,[status(thm)],[])).
% 9.01/6.97 tff(34404,plain,
% 9.01/6.97 (v88(constB125, bitIndex2)),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34403, 18311, 34402])).
% 9.01/6.97 tff(34405,plain,
% 9.01/6.97 ((((~v88(constB125, bitIndex1)) <=> v90(constB125, bitIndex1)) | ((~v88(constB125, bitIndex2)) <=> v90(constB125, bitIndex2)) | ((~v88(constB125, bitIndex0)) <=> v90(constB125, bitIndex0))) | (~((~v88(constB125, bitIndex0)) <=> v90(constB125, bitIndex0)))),
% 9.01/6.97 inference(tautology,[status(thm)],[])).
% 9.01/6.97 tff(34406,plain,
% 9.01/6.97 (~((~v88(constB125, bitIndex0)) <=> v90(constB125, bitIndex0))),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34405, 34400])).
% 9.01/6.97 tff(34407,plain,
% 9.01/6.97 (((~v88(constB125, bitIndex0)) <=> v90(constB125, bitIndex0)) | (~v88(constB125, bitIndex0)) | v90(constB125, bitIndex0)),
% 9.01/6.97 inference(tautology,[status(thm)],[])).
% 9.01/6.97 tff(34408,plain,
% 9.01/6.97 (~v88(constB125, bitIndex0)),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34407, 18462, 34406])).
% 9.01/6.97 tff(34409,plain,
% 9.01/6.97 ((((~v88(constB125, bitIndex1)) <=> v90(constB125, bitIndex1)) | ((~v88(constB125, bitIndex2)) <=> v90(constB125, bitIndex2)) | ((~v88(constB125, bitIndex0)) <=> v90(constB125, bitIndex0))) | (~((~v88(constB125, bitIndex1)) <=> v90(constB125, bitIndex1)))),
% 9.01/6.97 inference(tautology,[status(thm)],[])).
% 9.01/6.97 tff(34410,plain,
% 9.01/6.97 (~((~v88(constB125, bitIndex1)) <=> v90(constB125, bitIndex1))),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34409, 34400])).
% 9.01/6.97 tff(34411,plain,
% 9.01/6.97 (((~v88(constB125, bitIndex1)) <=> v90(constB125, bitIndex1)) | v88(constB125, bitIndex1) | (~v90(constB125, bitIndex1))),
% 9.01/6.97 inference(tautology,[status(thm)],[])).
% 9.01/6.97 tff(34412,plain,
% 9.01/6.97 (v88(constB125, bitIndex1)),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34411, 18340, 34410])).
% 9.01/6.97 tff(34413,plain,
% 9.01/6.97 ((~((~v88(constB125, bitIndex1)) | (~v88(constB125, bitIndex2)) | v88(constB125, bitIndex0))) | (~v88(constB125, bitIndex1)) | (~v88(constB125, bitIndex2)) | v88(constB125, bitIndex0)),
% 9.01/6.97 inference(tautology,[status(thm)],[])).
% 9.01/6.97 tff(34414,plain,
% 9.01/6.97 (~((~v88(constB125, bitIndex1)) | (~v88(constB125, bitIndex2)) | v88(constB125, bitIndex0))),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34413, 34412, 34408, 34404])).
% 9.01/6.97 tff(34415,plain,
% 9.01/6.97 ((~(v144(constB125) <=> (~((~v88(constB125, bitIndex1)) | (~v88(constB125, bitIndex2)) | v88(constB125, bitIndex0))))) | v144(constB125) | ((~v88(constB125, bitIndex1)) | (~v88(constB125, bitIndex2)) | v88(constB125, bitIndex0))),
% 9.01/6.97 inference(tautology,[status(thm)],[])).
% 9.01/6.97 tff(34416,plain,
% 9.01/6.97 (v144(constB125)),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34415, 34414, 34398])).
% 9.01/6.97 tff(34417,plain,
% 9.01/6.97 ((v143(constB125) | v144(constB125)) | (~v144(constB125))),
% 9.01/6.97 inference(tautology,[status(thm)],[])).
% 9.01/6.97 tff(34418,plain,
% 9.01/6.97 (v143(constB125) | v144(constB125)),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34417, 34416])).
% 9.01/6.97 tff(34419,plain,
% 9.01/6.97 ((~(v142(constB125) <=> (v143(constB125) | v144(constB125)))) | v142(constB125) | (~(v143(constB125) | v144(constB125)))),
% 9.01/6.97 inference(tautology,[status(thm)],[])).
% 9.01/6.97 tff(34420,plain,
% 9.01/6.97 (v142(constB125)),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34419, 34418, 34391])).
% 9.01/6.97 tff(34421,plain,
% 9.01/6.97 ((v137(constB125) | v142(constB125)) | (~v142(constB125))),
% 9.01/6.97 inference(tautology,[status(thm)],[])).
% 9.01/6.97 tff(34422,plain,
% 9.01/6.97 (v137(constB125) | v142(constB125)),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34421, 34420])).
% 9.01/6.97 tff(34423,plain,
% 9.01/6.97 ((~(v136(constB125) <=> (v137(constB125) | v142(constB125)))) | v136(constB125) | (~(v137(constB125) | v142(constB125)))),
% 9.01/6.97 inference(tautology,[status(thm)],[])).
% 9.01/6.97 tff(34424,plain,
% 9.01/6.97 ((~(v136(constB125) <=> (v137(constB125) | v142(constB125)))) | v136(constB125)),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34423, 34422])).
% 9.01/6.97 tff(34425,plain,
% 9.01/6.97 (v136(constB125)),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34424, 34389])).
% 9.01/6.97 tff(34426,plain,
% 9.01/6.97 ((v136(constB125) | v145(constB125)) | (~v136(constB125))),
% 9.01/6.97 inference(tautology,[status(thm)],[])).
% 9.01/6.97 tff(34427,plain,
% 9.01/6.97 (v136(constB125) | v145(constB125)),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34426, 34425])).
% 9.01/6.97 tff(34428,plain,
% 9.01/6.97 ((~(v135(constB125) <=> (v136(constB125) | v145(constB125)))) | v135(constB125) | (~(v136(constB125) | v145(constB125)))),
% 9.01/6.97 inference(tautology,[status(thm)],[])).
% 9.01/6.97 tff(34429,plain,
% 9.01/6.97 (v135(constB125)),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34428, 34427, 34387])).
% 9.01/6.97 tff(34430,plain,
% 9.01/6.97 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB125)) | (v86(constB125) <=> v148(constB125)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB125)) | (v86(constB125) <=> v148(constB125)))),
% 9.01/6.97 inference(rewrite,[status(thm)],[])).
% 9.01/6.97 tff(34431,plain,
% 9.01/6.97 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB125)) | (v86(constB125) <=> v148(constB125)))),
% 9.01/6.97 inference(quant_inst,[status(thm)],[])).
% 9.01/6.97 tff(34432,plain,
% 9.01/6.97 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB125)) | (v86(constB125) <=> v148(constB125))),
% 9.01/6.97 inference(modus_ponens,[status(thm)],[34431, 34430])).
% 9.01/6.97 tff(34433,plain,
% 9.01/6.97 (v86(constB125) <=> v148(constB125)),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34432, 14818, 34429])).
% 9.01/6.97 tff(34434,plain,
% 9.01/6.97 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB125) | (~v142(constB125)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB125) | (~v142(constB125)))),
% 9.01/6.97 inference(rewrite,[status(thm)],[])).
% 9.01/6.97 tff(34435,plain,
% 9.01/6.97 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB125) | (~v142(constB125)))),
% 9.01/6.97 inference(quant_inst,[status(thm)],[])).
% 9.01/6.97 tff(34436,plain,
% 9.01/6.97 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB125) | (~v142(constB125))),
% 9.01/6.97 inference(modus_ponens,[status(thm)],[34435, 34434])).
% 9.01/6.97 tff(34437,plain,
% 9.01/6.97 (v148(constB125)),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34436, 14832, 34420])).
% 9.01/6.97 tff(34438,plain,
% 9.01/6.97 ((~(v86(constB125) <=> v148(constB125))) | v86(constB125) | (~v148(constB125))),
% 9.01/6.97 inference(tautology,[status(thm)],[])).
% 9.01/6.97 tff(34439,plain,
% 9.01/6.97 ((~(v86(constB125) <=> v148(constB125))) | v86(constB125)),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34438, 34437])).
% 9.01/6.97 tff(34440,plain,
% 9.01/6.97 (v86(constB125)),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34439, 34433])).
% 9.01/6.97 tff(34441,plain,
% 9.01/6.97 ($false),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34440, 34385])).
% 9.01/6.97 tff(34442,plain,(~(constB125 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.01/6.97 tff(34443,assumption,(constB95 = VarCurr!0), introduced(assumption)).
% 9.01/6.97 tff(34444,plain,
% 9.01/6.97 (v86(constB95) <=> v86(VarCurr!0)),
% 9.01/6.97 inference(monotonicity,[status(thm)],[34443])).
% 9.01/6.97 tff(34445,plain,
% 9.01/6.97 (v86(VarCurr!0) <=> v86(constB95)),
% 9.01/6.97 inference(symmetry,[status(thm)],[34444])).
% 9.01/6.97 tff(34446,plain,
% 9.01/6.97 ((~v86(VarCurr!0)) <=> (~v86(constB95))),
% 9.01/6.97 inference(monotonicity,[status(thm)],[34445])).
% 9.01/6.97 tff(34447,plain,
% 9.01/6.97 (~v86(constB95)),
% 9.01/6.97 inference(modus_ponens,[status(thm)],[14736, 34446])).
% 9.01/6.97 tff(34448,plain,
% 9.01/6.97 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB95) <=> (v136(constB95) | v145(constB95)))),
% 9.01/6.97 inference(quant_inst,[status(thm)],[])).
% 9.01/6.97 tff(34449,plain,
% 9.01/6.97 (v135(constB95) <=> (v136(constB95) | v145(constB95))),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34448, 14744])).
% 9.01/6.97 tff(34450,plain,
% 9.01/6.97 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB95) <=> (v137(constB95) | v142(constB95)))),
% 9.01/6.97 inference(quant_inst,[status(thm)],[])).
% 9.01/6.97 tff(34451,plain,
% 9.01/6.97 (v136(constB95) <=> (v137(constB95) | v142(constB95))),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34450, 14753])).
% 9.01/6.97 tff(34452,plain,
% 9.01/6.97 ((v137(constB95) | v142(constB95)) | (~v142(constB95))),
% 9.01/6.97 inference(tautology,[status(thm)],[])).
% 9.01/6.97 tff(34453,plain,
% 9.01/6.97 (v137(constB95) | v142(constB95)),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34452, 14608])).
% 9.01/6.97 tff(34454,plain,
% 9.01/6.97 ((~(v136(constB95) <=> (v137(constB95) | v142(constB95)))) | v136(constB95) | (~(v137(constB95) | v142(constB95)))),
% 9.01/6.97 inference(tautology,[status(thm)],[])).
% 9.01/6.97 tff(34455,plain,
% 9.01/6.97 ((~(v136(constB95) <=> (v137(constB95) | v142(constB95)))) | v136(constB95)),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34454, 34453])).
% 9.01/6.97 tff(34456,plain,
% 9.01/6.97 (v136(constB95)),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34455, 34451])).
% 9.01/6.97 tff(34457,plain,
% 9.01/6.97 ((v136(constB95) | v145(constB95)) | (~v136(constB95))),
% 9.01/6.97 inference(tautology,[status(thm)],[])).
% 9.01/6.97 tff(34458,plain,
% 9.01/6.97 (v136(constB95) | v145(constB95)),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34457, 34456])).
% 9.01/6.97 tff(34459,plain,
% 9.01/6.97 ((~(v135(constB95) <=> (v136(constB95) | v145(constB95)))) | v135(constB95) | (~(v136(constB95) | v145(constB95)))),
% 9.01/6.97 inference(tautology,[status(thm)],[])).
% 9.01/6.97 tff(34460,plain,
% 9.01/6.97 (v135(constB95)),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34459, 34458, 34449])).
% 9.01/6.97 tff(34461,plain,
% 9.01/6.97 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB95)) | (v86(constB95) <=> v148(constB95)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB95)) | (v86(constB95) <=> v148(constB95)))),
% 9.01/6.97 inference(rewrite,[status(thm)],[])).
% 9.01/6.97 tff(34462,plain,
% 9.01/6.97 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB95)) | (v86(constB95) <=> v148(constB95)))),
% 9.01/6.97 inference(quant_inst,[status(thm)],[])).
% 9.01/6.97 tff(34463,plain,
% 9.01/6.97 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB95)) | (v86(constB95) <=> v148(constB95))),
% 9.01/6.97 inference(modus_ponens,[status(thm)],[34462, 34461])).
% 9.01/6.97 tff(34464,plain,
% 9.01/6.97 (v86(constB95) <=> v148(constB95)),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34463, 14818, 34460])).
% 9.01/6.97 tff(34465,plain,
% 9.01/6.97 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB95) | (~v142(constB95)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB95) | (~v142(constB95)))),
% 9.01/6.97 inference(rewrite,[status(thm)],[])).
% 9.01/6.97 tff(34466,plain,
% 9.01/6.97 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB95) | (~v142(constB95)))),
% 9.01/6.97 inference(quant_inst,[status(thm)],[])).
% 9.01/6.97 tff(34467,plain,
% 9.01/6.97 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB95) | (~v142(constB95))),
% 9.01/6.97 inference(modus_ponens,[status(thm)],[34466, 34465])).
% 9.01/6.97 tff(34468,plain,
% 9.01/6.97 (v148(constB95)),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34467, 14832, 14608])).
% 9.01/6.97 tff(34469,plain,
% 9.01/6.97 ((~(v86(constB95) <=> v148(constB95))) | v86(constB95) | (~v148(constB95))),
% 9.01/6.97 inference(tautology,[status(thm)],[])).
% 9.01/6.97 tff(34470,plain,
% 9.01/6.97 ((~(v86(constB95) <=> v148(constB95))) | v86(constB95)),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34469, 34468])).
% 9.01/6.97 tff(34471,plain,
% 9.01/6.97 (v86(constB95)),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34470, 34464])).
% 9.01/6.97 tff(34472,plain,
% 9.01/6.97 ($false),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34471, 34447])).
% 9.01/6.97 tff(34473,plain,(~(constB95 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.01/6.97 tff(34474,assumption,(constB123 = VarCurr!0), introduced(assumption)).
% 9.01/6.97 tff(34475,plain,
% 9.01/6.97 (v193(constB123) <=> v193(VarCurr!0)),
% 9.01/6.97 inference(monotonicity,[status(thm)],[34474])).
% 9.01/6.97 tff(34476,plain,
% 9.01/6.97 (v193(VarCurr!0) <=> v193(constB123)),
% 9.01/6.97 inference(symmetry,[status(thm)],[34475])).
% 9.01/6.97 tff(34477,plain,
% 9.01/6.97 (v193(constB123)),
% 9.01/6.97 inference(modus_ponens,[status(thm)],[59, 34476])).
% 9.01/6.97 tff(34478,plain,
% 9.01/6.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB122, constB123)) | (v193(constB123) <=> v191(constB122)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB122, constB123)) | (v193(constB123) <=> v191(constB122)))),
% 9.01/6.97 inference(rewrite,[status(thm)],[])).
% 9.01/6.97 tff(34479,plain,
% 9.01/6.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB122, constB123)) | (v193(constB123) <=> v191(constB122)))),
% 9.01/6.97 inference(quant_inst,[status(thm)],[])).
% 9.01/6.97 tff(34480,plain,
% 9.01/6.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB122, constB123)) | (v193(constB123) <=> v191(constB122))),
% 9.01/6.97 inference(modus_ponens,[status(thm)],[34479, 34478])).
% 9.01/6.97 tff(34481,plain,
% 9.01/6.97 (v193(constB123) <=> v191(constB122)),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34480, 17307, 70])).
% 9.01/6.97 tff(34482,plain,
% 9.01/6.97 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB122) <=> (v194(constB122) | v198(constB122)))),
% 9.01/6.97 inference(quant_inst,[status(thm)],[])).
% 9.01/6.97 tff(34483,plain,
% 9.01/6.97 (v191(constB122) <=> (v194(constB122) | v198(constB122))),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34482, 84])).
% 9.01/6.97 tff(34484,plain,
% 9.01/6.97 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB122) <=> (~((~v199(constB122)) | (~v200(constB122)))))),
% 9.01/6.97 inference(quant_inst,[status(thm)],[])).
% 9.01/6.97 tff(34485,plain,
% 9.01/6.97 (v198(constB122) <=> (~((~v199(constB122)) | (~v200(constB122))))),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34484, 96])).
% 9.01/6.97 tff(34486,plain,
% 9.01/6.97 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB122) <=> (~((~v197(constB122)) | (~v201(constB122)))))),
% 9.01/6.97 inference(quant_inst,[status(thm)],[])).
% 9.01/6.97 tff(34487,plain,
% 9.01/6.97 (v200(constB122) <=> (~((~v197(constB122)) | (~v201(constB122))))),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34486, 108])).
% 9.01/6.97 tff(34488,plain,
% 9.01/6.97 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB122) <=> (~((~v39(constB122)) | (~v9(constB122)))))),
% 9.01/6.97 inference(quant_inst,[status(thm)],[])).
% 9.01/6.97 tff(34489,plain,
% 9.01/6.97 (v197(constB122) <=> (~((~v39(constB122)) | (~v9(constB122))))),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34488, 120])).
% 9.01/6.97 tff(34490,plain,
% 9.01/6.97 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB122)) <=> v1(constB122))),
% 9.01/6.97 inference(quant_inst,[status(thm)],[])).
% 9.01/6.97 tff(34491,plain,
% 9.01/6.97 ((~v39(constB122)) <=> v1(constB122)),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34490, 129])).
% 9.01/6.97 tff(34492,plain,
% 9.01/6.97 ((~((~v39(constB122)) <=> v1(constB122))) | (~v39(constB122)) | (~v1(constB122))),
% 9.01/6.97 inference(tautology,[status(thm)],[])).
% 9.01/6.97 tff(34493,plain,
% 9.01/6.97 ((~((~v39(constB122)) <=> v1(constB122))) | (~v39(constB122))),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34492, 18100])).
% 9.01/6.97 tff(34494,plain,
% 9.01/6.97 (~v39(constB122)),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34493, 34491])).
% 9.01/6.97 tff(34495,plain,
% 9.01/6.97 (((~v39(constB122)) | (~v9(constB122))) | v39(constB122)),
% 9.01/6.97 inference(tautology,[status(thm)],[])).
% 9.01/6.97 tff(34496,plain,
% 9.01/6.97 ((~v39(constB122)) | (~v9(constB122))),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34495, 34494])).
% 9.01/6.97 tff(34497,plain,
% 9.01/6.97 ((~(v197(constB122) <=> (~((~v39(constB122)) | (~v9(constB122)))))) | (~v197(constB122)) | (~((~v39(constB122)) | (~v9(constB122))))),
% 9.01/6.97 inference(tautology,[status(thm)],[])).
% 9.01/6.97 tff(34498,plain,
% 9.01/6.97 ((~(v197(constB122) <=> (~((~v39(constB122)) | (~v9(constB122)))))) | (~v197(constB122))),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34497, 34496])).
% 9.01/6.97 tff(34499,plain,
% 9.01/6.97 (~v197(constB122)),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34498, 34489])).
% 9.01/6.97 tff(34500,plain,
% 9.01/6.97 (((~v197(constB122)) | (~v201(constB122))) | v197(constB122)),
% 9.01/6.97 inference(tautology,[status(thm)],[])).
% 9.01/6.97 tff(34501,plain,
% 9.01/6.97 ((~v197(constB122)) | (~v201(constB122))),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34500, 34499])).
% 9.01/6.97 tff(34502,plain,
% 9.01/6.97 ((~(v200(constB122) <=> (~((~v197(constB122)) | (~v201(constB122)))))) | (~v200(constB122)) | (~((~v197(constB122)) | (~v201(constB122))))),
% 9.01/6.97 inference(tautology,[status(thm)],[])).
% 9.01/6.97 tff(34503,plain,
% 9.01/6.97 ((~(v200(constB122) <=> (~((~v197(constB122)) | (~v201(constB122)))))) | (~v200(constB122))),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34502, 34501])).
% 9.01/6.97 tff(34504,plain,
% 9.01/6.97 (~v200(constB122)),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34503, 34487])).
% 9.01/6.97 tff(34505,plain,
% 9.01/6.97 (((~v199(constB122)) | (~v200(constB122))) | v200(constB122)),
% 9.01/6.97 inference(tautology,[status(thm)],[])).
% 9.01/6.97 tff(34506,plain,
% 9.01/6.97 ((~v199(constB122)) | (~v200(constB122))),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34505, 34504])).
% 9.01/6.97 tff(34507,plain,
% 9.01/6.97 ((~(v198(constB122) <=> (~((~v199(constB122)) | (~v200(constB122)))))) | (~v198(constB122)) | (~((~v199(constB122)) | (~v200(constB122))))),
% 9.01/6.97 inference(tautology,[status(thm)],[])).
% 9.01/6.97 tff(34508,plain,
% 9.01/6.97 (~v198(constB122)),
% 9.01/6.97 inference(unit_resolution,[status(thm)],[34507, 34506, 34485])).
% 9.01/6.97 tff(34509,plain,
% 9.01/6.97 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB122) <=> (~((~v157(constB122)) | (~v195(constB122)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB122) <=> (~((~v157(constB122)) | (~v195(constB122))))))),
% 9.01/6.98 inference(rewrite,[status(thm)],[])).
% 9.01/6.98 tff(34510,plain,
% 9.01/6.98 ((v194(constB122) <=> (~((~v195(constB122)) | (~v157(constB122))))) <=> (v194(constB122) <=> (~((~v157(constB122)) | (~v195(constB122)))))),
% 9.01/6.98 inference(rewrite,[status(thm)],[])).
% 9.01/6.98 tff(34511,plain,
% 9.01/6.98 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB122) <=> (~((~v195(constB122)) | (~v157(constB122)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB122) <=> (~((~v157(constB122)) | (~v195(constB122))))))),
% 9.01/6.98 inference(monotonicity,[status(thm)],[34510])).
% 9.01/6.98 tff(34512,plain,
% 9.01/6.98 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB122) <=> (~((~v195(constB122)) | (~v157(constB122)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB122) <=> (~((~v157(constB122)) | (~v195(constB122))))))),
% 9.01/6.98 inference(transitivity,[status(thm)],[34511, 34509])).
% 9.01/6.98 tff(34513,plain,
% 9.01/6.98 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB122) <=> (~((~v195(constB122)) | (~v157(constB122)))))),
% 9.01/6.98 inference(quant_inst,[status(thm)],[])).
% 9.01/6.98 tff(34514,plain,
% 9.01/6.98 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB122) <=> (~((~v157(constB122)) | (~v195(constB122)))))),
% 9.01/6.98 inference(modus_ponens,[status(thm)],[34513, 34512])).
% 9.01/6.98 tff(34515,plain,
% 9.01/6.98 (v194(constB122) <=> (~((~v157(constB122)) | (~v195(constB122))))),
% 9.01/6.98 inference(unit_resolution,[status(thm)],[34514, 161])).
% 9.01/6.98 tff(34516,plain,
% 9.01/6.98 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB122) <=> v193(constB122))),
% 9.01/6.98 inference(quant_inst,[status(thm)],[])).
% 9.01/6.98 tff(34517,plain,
% 9.01/6.98 (v157(constB122) <=> v193(constB122)),
% 9.01/6.98 inference(unit_resolution,[status(thm)],[34516, 13])).
% 9.01/6.98 tff(34518,plain,
% 9.01/6.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB121, constB122)) | (v193(constB122) <=> v191(constB121)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB121, constB122)) | (v193(constB122) <=> v191(constB121)))),
% 9.01/6.98 inference(rewrite,[status(thm)],[])).
% 9.01/6.98 tff(34519,plain,
% 9.01/6.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB121, constB122)) | (v193(constB122) <=> v191(constB121)))),
% 9.01/6.98 inference(quant_inst,[status(thm)],[])).
% 9.01/6.98 tff(34520,plain,
% 9.01/6.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB121, constB122)) | (v193(constB122) <=> v191(constB121))),
% 9.01/6.98 inference(modus_ponens,[status(thm)],[34519, 34518])).
% 9.01/6.98 tff(34521,plain,
% 9.01/6.98 (v193(constB122) <=> v191(constB121)),
% 9.01/6.98 inference(unit_resolution,[status(thm)],[34520, 17343, 70])).
% 9.01/6.98 tff(34522,plain,
% 9.01/6.98 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB121) <=> (v194(constB121) | v198(constB121)))),
% 9.01/6.98 inference(quant_inst,[status(thm)],[])).
% 9.01/6.98 tff(34523,plain,
% 9.01/6.98 (v191(constB121) <=> (v194(constB121) | v198(constB121))),
% 9.01/6.98 inference(unit_resolution,[status(thm)],[34522, 84])).
% 9.01/6.98 tff(34524,plain,
% 9.01/6.98 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB121) <=> (~((~v157(constB121)) | (~v195(constB121)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB121) <=> (~((~v157(constB121)) | (~v195(constB121))))))),
% 9.01/6.98 inference(rewrite,[status(thm)],[])).
% 9.01/6.98 tff(34525,plain,
% 9.01/6.98 ((v194(constB121) <=> (~((~v195(constB121)) | (~v157(constB121))))) <=> (v194(constB121) <=> (~((~v157(constB121)) | (~v195(constB121)))))),
% 9.01/6.98 inference(rewrite,[status(thm)],[])).
% 9.01/6.98 tff(34526,plain,
% 9.06/6.98 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB121) <=> (~((~v195(constB121)) | (~v157(constB121)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB121) <=> (~((~v157(constB121)) | (~v195(constB121))))))),
% 9.06/6.98 inference(monotonicity,[status(thm)],[34525])).
% 9.06/6.98 tff(34527,plain,
% 9.06/6.98 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB121) <=> (~((~v195(constB121)) | (~v157(constB121)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB121) <=> (~((~v157(constB121)) | (~v195(constB121))))))),
% 9.06/6.98 inference(transitivity,[status(thm)],[34526, 34524])).
% 9.06/6.98 tff(34528,plain,
% 9.06/6.98 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB121) <=> (~((~v195(constB121)) | (~v157(constB121)))))),
% 9.06/6.98 inference(quant_inst,[status(thm)],[])).
% 9.06/6.98 tff(34529,plain,
% 9.06/6.98 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB121) <=> (~((~v157(constB121)) | (~v195(constB121)))))),
% 9.06/6.98 inference(modus_ponens,[status(thm)],[34528, 34527])).
% 9.06/6.98 tff(34530,plain,
% 9.06/6.98 (v194(constB121) <=> (~((~v157(constB121)) | (~v195(constB121))))),
% 9.06/6.98 inference(unit_resolution,[status(thm)],[34529, 161])).
% 9.06/6.98 tff(34531,plain,
% 9.06/6.98 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB121)) <=> v196(constB121))),
% 9.06/6.98 inference(quant_inst,[status(thm)],[])).
% 9.06/6.98 tff(34532,plain,
% 9.06/6.98 ((~v195(constB121)) <=> v196(constB121)),
% 9.06/6.98 inference(unit_resolution,[status(thm)],[34531, 193])).
% 9.06/6.98 tff(34533,plain,
% 9.06/6.98 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB121) <=> (v197(constB121) | v26(constB121)))),
% 9.06/6.98 inference(quant_inst,[status(thm)],[])).
% 9.06/6.98 tff(34534,plain,
% 9.06/6.98 (v196(constB121) <=> (v197(constB121) | v26(constB121))),
% 9.06/6.98 inference(unit_resolution,[status(thm)],[34533, 202])).
% 9.06/6.98 tff(34535,plain,
% 9.06/6.98 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB121) <=> (~((~v39(constB121)) | (~v9(constB121)))))),
% 9.06/6.98 inference(quant_inst,[status(thm)],[])).
% 9.06/6.98 tff(34536,plain,
% 9.06/6.98 (v197(constB121) <=> (~((~v39(constB121)) | (~v9(constB121))))),
% 9.06/6.98 inference(unit_resolution,[status(thm)],[34535, 120])).
% 9.06/6.98 tff(34537,plain,
% 9.06/6.98 (((~![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)))),
% 9.06/6.98 inference(rewrite,[status(thm)],[])).
% 9.06/6.98 tff(34538,plain,
% 9.06/6.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB121, constB122)) | (v13(constB122) <=> v9(constB121)))),
% 9.06/6.98 inference(quant_inst,[status(thm)],[])).
% 9.06/6.98 tff(34539,plain,
% 9.06/6.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB121, constB122)) | (v13(constB122) <=> v9(constB121))),
% 9.06/6.98 inference(modus_ponens,[status(thm)],[34538, 34537])).
% 9.06/6.98 tff(34540,plain,
% 9.06/6.98 (v13(constB122) <=> v9(constB121)),
% 9.06/6.98 inference(unit_resolution,[status(thm)],[34539, 17343, 216])).
% 9.06/6.98 tff(34541,plain,
% 9.06/6.98 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB122) <=> v13(constB122))),
% 9.06/6.98 inference(quant_inst,[status(thm)],[])).
% 9.06/6.98 tff(34542,plain,
% 9.06/6.98 (v6(constB122) <=> v13(constB122)),
% 9.06/6.98 inference(unit_resolution,[status(thm)],[34541, 230])).
% 9.06/6.98 tff(34543,plain,
% 9.06/6.98 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB122)) <=> v6(constB122))),
% 9.06/6.98 inference(quant_inst,[status(thm)],[])).
% 9.06/6.98 tff(34544,plain,
% 9.06/6.98 ((~v21(constB122)) <=> v6(constB122)),
% 9.06/6.98 inference(unit_resolution,[status(thm)],[34543, 239])).
% 9.06/6.98 tff(34545,plain,
% 9.06/6.98 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB122) <=> (v20(constB122) | v21(constB122)))),
% 9.06/6.98 inference(quant_inst,[status(thm)],[])).
% 9.06/6.98 tff(34546,plain,
% 9.06/6.98 (v19(constB122) <=> (v20(constB122) | v21(constB122))),
% 9.06/6.98 inference(unit_resolution,[status(thm)],[34545, 248])).
% 9.06/6.98 tff(34547,plain,
% 9.06/6.98 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB122) <=> (~((~v19(constB122)) | (~v22(constB122)))))),
% 9.06/6.98 inference(quant_inst,[status(thm)],[])).
% 9.06/6.98 tff(34548,plain,
% 9.06/6.98 (v18(constB122) <=> (~((~v19(constB122)) | (~v22(constB122))))),
% 9.06/6.98 inference(unit_resolution,[status(thm)],[34547, 260])).
% 9.06/6.98 tff(34549,plain,
% 9.06/6.98 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB122)) <=> v18(constB122))),
% 9.06/6.98 inference(quant_inst,[status(thm)],[])).
% 9.06/6.98 tff(34550,plain,
% 9.06/6.98 ((~v4(constB122)) <=> v18(constB122)),
% 9.06/6.98 inference(unit_resolution,[status(thm)],[34549, 269])).
% 9.06/6.98 tff(34551,plain,
% 9.06/6.98 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB122)),
% 9.06/6.98 inference(quant_inst,[status(thm)],[])).
% 9.06/6.98 tff(34552,plain,
% 9.06/6.98 (v4(constB122)),
% 9.06/6.98 inference(unit_resolution,[status(thm)],[34551, 278])).
% 9.06/6.98 tff(34553,plain,
% 9.06/6.98 ((~((~v4(constB122)) <=> v18(constB122))) | (~v4(constB122)) | (~v18(constB122))),
% 9.06/6.98 inference(tautology,[status(thm)],[])).
% 9.06/6.98 tff(34554,plain,
% 9.06/6.98 (~v18(constB122)),
% 9.06/6.98 inference(unit_resolution,[status(thm)],[34553, 34552, 34550])).
% 9.06/6.98 tff(34555,plain,
% 9.06/6.98 ((~(v18(constB122) <=> (~((~v19(constB122)) | (~v22(constB122)))))) | v18(constB122) | ((~v19(constB122)) | (~v22(constB122)))),
% 9.06/6.98 inference(tautology,[status(thm)],[])).
% 9.06/6.98 tff(34556,plain,
% 9.06/6.98 ((~v19(constB122)) | (~v22(constB122))),
% 9.06/6.98 inference(unit_resolution,[status(thm)],[34555, 34554, 34548])).
% 9.06/6.98 tff(34557,plain,
% 9.06/6.98 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB122) <=> (v1(constB122) | v6(constB122)))),
% 9.06/6.98 inference(quant_inst,[status(thm)],[])).
% 9.06/6.98 tff(34558,plain,
% 9.06/6.98 (v22(constB122) <=> (v1(constB122) | v6(constB122))),
% 9.06/6.98 inference(unit_resolution,[status(thm)],[34557, 291])).
% 9.06/6.98 tff(34559,plain,
% 9.06/6.98 ((v1(constB122) | v6(constB122)) | (~v1(constB122))),
% 9.06/6.98 inference(tautology,[status(thm)],[])).
% 9.06/6.98 tff(34560,plain,
% 9.06/6.98 (v1(constB122) | v6(constB122)),
% 9.06/6.98 inference(unit_resolution,[status(thm)],[34559, 18100])).
% 9.06/6.98 tff(34561,plain,
% 9.06/6.98 ((~(v22(constB122) <=> (v1(constB122) | v6(constB122)))) | v22(constB122) | (~(v1(constB122) | v6(constB122)))),
% 9.06/6.98 inference(tautology,[status(thm)],[])).
% 9.06/6.98 tff(34562,plain,
% 9.06/6.98 ((~(v22(constB122) <=> (v1(constB122) | v6(constB122)))) | v22(constB122)),
% 9.06/6.98 inference(unit_resolution,[status(thm)],[34561, 34560])).
% 9.06/6.98 tff(34563,plain,
% 9.06/6.98 (v22(constB122)),
% 9.06/6.98 inference(unit_resolution,[status(thm)],[34562, 34558])).
% 9.06/6.98 tff(34564,plain,
% 9.06/6.98 ((~((~v19(constB122)) | (~v22(constB122)))) | (~v19(constB122)) | (~v22(constB122))),
% 9.06/6.98 inference(tautology,[status(thm)],[])).
% 9.06/6.98 tff(34565,plain,
% 9.06/6.98 ((~((~v19(constB122)) | (~v22(constB122)))) | (~v19(constB122))),
% 9.06/6.98 inference(unit_resolution,[status(thm)],[34564, 34563])).
% 9.06/6.98 tff(34566,plain,
% 9.06/6.98 (~v19(constB122)),
% 9.06/6.98 inference(unit_resolution,[status(thm)],[34565, 34556])).
% 9.06/6.98 tff(34567,plain,
% 9.06/6.98 ((~(v19(constB122) <=> (v20(constB122) | v21(constB122)))) | v19(constB122) | (~(v20(constB122) | v21(constB122)))),
% 9.06/6.98 inference(tautology,[status(thm)],[])).
% 9.06/6.98 tff(34568,plain,
% 9.06/6.98 (~(v20(constB122) | v21(constB122))),
% 9.06/6.98 inference(unit_resolution,[status(thm)],[34567, 34566, 34546])).
% 9.06/6.98 tff(34569,plain,
% 9.06/6.98 ((v20(constB122) | v21(constB122)) | (~v21(constB122))),
% 9.06/6.98 inference(tautology,[status(thm)],[])).
% 9.06/6.98 tff(34570,plain,
% 9.06/6.98 (~v21(constB122)),
% 9.06/6.98 inference(unit_resolution,[status(thm)],[34569, 34568])).
% 9.06/6.98 tff(34571,plain,
% 9.06/6.98 ((~((~v21(constB122)) <=> v6(constB122))) | v21(constB122) | v6(constB122)),
% 9.06/6.98 inference(tautology,[status(thm)],[])).
% 9.06/6.98 tff(34572,plain,
% 9.06/6.98 (v6(constB122)),
% 9.06/6.98 inference(unit_resolution,[status(thm)],[34571, 34570, 34544])).
% 9.06/6.98 tff(34573,plain,
% 9.06/6.98 ((~(v6(constB122) <=> v13(constB122))) | (~v6(constB122)) | v13(constB122)),
% 9.06/6.98 inference(tautology,[status(thm)],[])).
% 9.06/6.98 tff(34574,plain,
% 9.06/6.98 (v13(constB122)),
% 9.06/6.98 inference(unit_resolution,[status(thm)],[34573, 34572, 34542])).
% 9.06/6.98 tff(34575,plain,
% 9.06/6.98 ((~(v13(constB122) <=> v9(constB121))) | (~v13(constB122)) | v9(constB121)),
% 9.06/6.98 inference(tautology,[status(thm)],[])).
% 9.06/6.98 tff(34576,plain,
% 9.06/6.98 (v9(constB121)),
% 9.06/6.98 inference(unit_resolution,[status(thm)],[34575, 34574, 34540])).
% 9.06/6.98 tff(34577,plain,
% 9.06/6.98 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB121)) <=> v1(constB121))),
% 9.06/6.98 inference(quant_inst,[status(thm)],[])).
% 9.06/6.98 tff(34578,plain,
% 9.06/6.98 ((~v39(constB121)) <=> v1(constB121)),
% 9.06/6.98 inference(unit_resolution,[status(thm)],[34577, 129])).
% 9.06/6.98 tff(34579,plain,
% 9.06/6.98 ((~((~v39(constB121)) <=> v1(constB121))) | v39(constB121) | v1(constB121)),
% 9.06/6.98 inference(tautology,[status(thm)],[])).
% 9.06/6.98 tff(34580,plain,
% 9.06/6.98 ((~((~v39(constB121)) <=> v1(constB121))) | v39(constB121)),
% 9.06/6.98 inference(unit_resolution,[status(thm)],[34579, 17387])).
% 9.06/6.98 tff(34581,plain,
% 9.06/6.98 (v39(constB121)),
% 9.06/6.98 inference(unit_resolution,[status(thm)],[34580, 34578])).
% 9.06/6.98 tff(34582,plain,
% 9.06/6.98 ((~((~v39(constB121)) | (~v9(constB121)))) | (~v39(constB121)) | (~v9(constB121))),
% 9.06/6.98 inference(tautology,[status(thm)],[])).
% 9.06/6.98 tff(34583,plain,
% 9.06/6.98 ((~((~v39(constB121)) | (~v9(constB121)))) | (~v9(constB121))),
% 9.06/6.98 inference(unit_resolution,[status(thm)],[34582, 34581])).
% 9.06/6.98 tff(34584,plain,
% 9.06/6.98 (~((~v39(constB121)) | (~v9(constB121)))),
% 9.06/6.98 inference(unit_resolution,[status(thm)],[34583, 34576])).
% 9.06/6.98 tff(34585,plain,
% 9.06/6.98 ((~(v197(constB121) <=> (~((~v39(constB121)) | (~v9(constB121)))))) | v197(constB121) | ((~v39(constB121)) | (~v9(constB121)))),
% 9.06/6.98 inference(tautology,[status(thm)],[])).
% 9.06/6.98 tff(34586,plain,
% 9.06/6.98 (v197(constB121)),
% 9.06/6.98 inference(unit_resolution,[status(thm)],[34585, 34584, 34536])).
% 9.06/6.98 tff(34587,plain,
% 9.06/6.98 ((v197(constB121) | v26(constB121)) | (~v197(constB121))),
% 9.06/6.98 inference(tautology,[status(thm)],[])).
% 9.06/6.98 tff(34588,plain,
% 9.06/6.98 (v197(constB121) | v26(constB121)),
% 9.06/6.98 inference(unit_resolution,[status(thm)],[34587, 34586])).
% 9.06/6.98 tff(34589,plain,
% 9.06/6.98 ((~(v196(constB121) <=> (v197(constB121) | v26(constB121)))) | v196(constB121) | (~(v197(constB121) | v26(constB121)))),
% 9.06/6.98 inference(tautology,[status(thm)],[])).
% 9.06/6.98 tff(34590,plain,
% 9.06/6.98 (v196(constB121)),
% 9.06/6.98 inference(unit_resolution,[status(thm)],[34589, 34588, 34534])).
% 9.06/6.98 tff(34591,plain,
% 9.06/6.98 ((~((~v195(constB121)) <=> v196(constB121))) | (~v195(constB121)) | (~v196(constB121))),
% 9.06/6.98 inference(tautology,[status(thm)],[])).
% 9.06/6.98 tff(34592,plain,
% 9.06/6.98 (~v195(constB121)),
% 9.06/6.98 inference(unit_resolution,[status(thm)],[34591, 34590, 34532])).
% 9.06/6.98 tff(34593,plain,
% 9.06/6.98 (((~v157(constB121)) | (~v195(constB121))) | v195(constB121)),
% 9.06/6.98 inference(tautology,[status(thm)],[])).
% 9.06/6.98 tff(34594,plain,
% 9.06/6.98 ((~v157(constB121)) | (~v195(constB121))),
% 9.06/6.98 inference(unit_resolution,[status(thm)],[34593, 34592])).
% 9.06/6.98 tff(34595,plain,
% 9.06/6.98 ((~(v194(constB121) <=> (~((~v157(constB121)) | (~v195(constB121)))))) | (~v194(constB121)) | (~((~v157(constB121)) | (~v195(constB121))))),
% 9.06/6.98 inference(tautology,[status(thm)],[])).
% 9.06/6.98 tff(34596,plain,
% 9.06/6.98 (~v194(constB121)),
% 9.06/6.98 inference(unit_resolution,[status(thm)],[34595, 34594, 34530])).
% 9.06/6.98 tff(34597,plain,
% 9.06/6.98 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB121) <=> (~((~v199(constB121)) | (~v200(constB121)))))),
% 9.06/6.98 inference(quant_inst,[status(thm)],[])).
% 9.06/6.98 tff(34598,plain,
% 9.06/6.98 (v198(constB121) <=> (~((~v199(constB121)) | (~v200(constB121))))),
% 9.06/6.98 inference(unit_resolution,[status(thm)],[34597, 96])).
% 9.06/6.98 tff(34599,plain,
% 9.06/6.98 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB121) <=> (~((~v197(constB121)) | (~v201(constB121)))))),
% 9.06/6.98 inference(quant_inst,[status(thm)],[])).
% 9.06/6.98 tff(34600,plain,
% 9.06/6.98 (v200(constB121) <=> (~((~v197(constB121)) | (~v201(constB121))))),
% 9.06/6.98 inference(unit_resolution,[status(thm)],[34599, 108])).
% 9.06/6.98 tff(34601,plain,
% 9.06/6.98 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB121) <=> (~((~v159(constB121)) | (~v161(constB121)))))),
% 9.06/6.98 inference(quant_inst,[status(thm)],[])).
% 9.06/6.98 tff(34602,plain,
% 9.06/6.98 (v201(constB121) <=> (~((~v159(constB121)) | (~v161(constB121))))),
% 9.06/6.98 inference(unit_resolution,[status(thm)],[34601, 348])).
% 9.06/6.98 tff(34603,plain,
% 9.06/6.98 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB121) <=> v163(constB121))),
% 9.06/6.98 inference(quant_inst,[status(thm)],[])).
% 9.06/6.98 tff(34604,plain,
% 9.06/6.98 (v161(constB121) <=> v163(constB121)),
% 9.06/6.98 inference(unit_resolution,[status(thm)],[34603, 357])).
% 9.06/6.98 tff(34605,plain,
% 9.06/6.98 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB121) <=> (v145(constB121) | v167(constB121)))),
% 9.06/6.98 inference(quant_inst,[status(thm)],[])).
% 9.06/6.98 tff(34606,plain,
% 9.06/6.98 (v166(constB121) <=> (v145(constB121) | v167(constB121))),
% 9.06/6.98 inference(unit_resolution,[status(thm)],[34605, 369])).
% 9.06/6.98 tff(34607,plain,
% 9.06/6.98 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB121) <=> (v142(constB121) | v168(constB121)))),
% 9.06/6.98 inference(quant_inst,[status(thm)],[])).
% 9.06/6.98 tff(34608,plain,
% 9.06/6.98 (v167(constB121) <=> (v142(constB121) | v168(constB121))),
% 9.06/6.98 inference(unit_resolution,[status(thm)],[34607, 381])).
% 9.06/6.98 tff(34609,plain,
% 9.06/6.98 ((~![VarCurr: $i] : (v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr)))) | (v168(constB121) <=> (v141(constB121) | v169(constB121)))),
% 9.06/6.98 inference(quant_inst,[status(thm)],[])).
% 9.06/6.98 tff(34610,plain,
% 9.06/6.98 (v168(constB121) <=> (v141(constB121) | v169(constB121))),
% 9.06/6.98 inference(unit_resolution,[status(thm)],[34609, 393])).
% 9.06/6.98 tff(34611,plain,
% 9.06/6.98 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB121) <=> (~((~v88(constB121, bitIndex1)) | v88(constB121, bitIndex2) | (~v88(constB121, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB121) <=> (~((~v88(constB121, bitIndex1)) | v88(constB121, bitIndex2) | (~v88(constB121, bitIndex0))))))),
% 9.06/6.98 inference(rewrite,[status(thm)],[])).
% 9.06/6.98 tff(34612,plain,
% 9.06/6.98 ((v141(constB121) <=> (~(v88(constB121, bitIndex2) | (~v88(constB121, bitIndex1)) | (~v88(constB121, bitIndex0))))) <=> (v141(constB121) <=> (~((~v88(constB121, bitIndex1)) | v88(constB121, bitIndex2) | (~v88(constB121, bitIndex0)))))),
% 9.06/6.98 inference(rewrite,[status(thm)],[])).
% 9.06/6.98 tff(34613,plain,
% 9.06/6.98 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB121) <=> (~(v88(constB121, bitIndex2) | (~v88(constB121, bitIndex1)) | (~v88(constB121, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB121) <=> (~((~v88(constB121, bitIndex1)) | v88(constB121, bitIndex2) | (~v88(constB121, bitIndex0))))))),
% 9.06/6.98 inference(monotonicity,[status(thm)],[34612])).
% 9.06/6.98 tff(34614,plain,
% 9.06/6.98 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB121) <=> (~(v88(constB121, bitIndex2) | (~v88(constB121, bitIndex1)) | (~v88(constB121, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB121) <=> (~((~v88(constB121, bitIndex1)) | v88(constB121, bitIndex2) | (~v88(constB121, bitIndex0))))))),
% 9.06/6.98 inference(transitivity,[status(thm)],[34613, 34611])).
% 9.06/6.98 tff(34615,plain,
% 9.06/6.98 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB121) <=> (~(v88(constB121, bitIndex2) | (~v88(constB121, bitIndex1)) | (~v88(constB121, bitIndex0)))))),
% 9.06/6.98 inference(quant_inst,[status(thm)],[])).
% 9.06/6.98 tff(34616,plain,
% 9.06/6.98 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB121) <=> (~((~v88(constB121, bitIndex1)) | v88(constB121, bitIndex2) | (~v88(constB121, bitIndex0)))))),
% 9.06/6.98 inference(modus_ponens,[status(thm)],[34615, 34614])).
% 9.06/6.98 tff(34617,plain,
% 9.06/6.98 (v141(constB121) <=> (~((~v88(constB121, bitIndex1)) | v88(constB121, bitIndex2) | (~v88(constB121, bitIndex0))))),
% 9.06/6.98 inference(unit_resolution,[status(thm)],[34616, 408])).
% 9.06/6.98 tff(34618,plain,
% 9.06/6.98 ((~![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))) | (~(((~v88(constB121, bitIndex1)) <=> v90(constB121, bitIndex1)) | ((~v88(constB121, bitIndex2)) <=> v90(constB121, bitIndex2)) | ((~v88(constB121, bitIndex0)) <=> v90(constB121, bitIndex0))))),
% 9.06/6.98 inference(quant_inst,[status(thm)],[])).
% 9.06/6.98 tff(34619,plain,
% 9.06/6.98 (~(((~v88(constB121, bitIndex1)) <=> v90(constB121, bitIndex1)) | ((~v88(constB121, bitIndex2)) <=> v90(constB121, bitIndex2)) | ((~v88(constB121, bitIndex0)) <=> v90(constB121, bitIndex0)))),
% 9.06/6.98 inference(unit_resolution,[status(thm)],[34618, 428])).
% 9.06/6.98 tff(34620,plain,
% 9.06/6.98 ((((~v88(constB121, bitIndex1)) <=> v90(constB121, bitIndex1)) | ((~v88(constB121, bitIndex2)) <=> v90(constB121, bitIndex2)) | ((~v88(constB121, bitIndex0)) <=> v90(constB121, bitIndex0))) | (~((~v88(constB121, bitIndex2)) <=> v90(constB121, bitIndex2)))),
% 9.06/6.98 inference(tautology,[status(thm)],[])).
% 9.06/6.98 tff(34621,plain,
% 9.06/6.98 (~((~v88(constB121, bitIndex2)) <=> v90(constB121, bitIndex2))),
% 9.06/6.98 inference(unit_resolution,[status(thm)],[34620, 34619])).
% 9.06/6.98 tff(34622,plain,
% 9.06/6.98 (((~v88(constB121, bitIndex2)) <=> v90(constB121, bitIndex2)) | (~v88(constB121, bitIndex2)) | v90(constB121, bitIndex2)),
% 9.06/6.98 inference(tautology,[status(thm)],[])).
% 9.06/6.98 tff(34623,plain,
% 9.06/6.98 (~v88(constB121, bitIndex2)),
% 9.06/6.98 inference(unit_resolution,[status(thm)],[34622, 18019, 34621])).
% 9.06/6.98 tff(34624,plain,
% 9.06/6.98 ((((~v88(constB121, bitIndex1)) <=> v90(constB121, bitIndex1)) | ((~v88(constB121, bitIndex2)) <=> v90(constB121, bitIndex2)) | ((~v88(constB121, bitIndex0)) <=> v90(constB121, bitIndex0))) | (~((~v88(constB121, bitIndex0)) <=> v90(constB121, bitIndex0)))),
% 9.06/6.98 inference(tautology,[status(thm)],[])).
% 9.06/6.98 tff(34625,plain,
% 9.06/6.98 (~((~v88(constB121, bitIndex0)) <=> v90(constB121, bitIndex0))),
% 9.06/6.98 inference(unit_resolution,[status(thm)],[34624, 34619])).
% 9.06/6.98 tff(34626,plain,
% 9.06/6.98 (((~v88(constB121, bitIndex0)) <=> v90(constB121, bitIndex0)) | v88(constB121, bitIndex0) | (~v90(constB121, bitIndex0))),
% 9.06/6.98 inference(tautology,[status(thm)],[])).
% 9.06/6.98 tff(34627,plain,
% 9.06/6.98 (v88(constB121, bitIndex0)),
% 9.06/6.98 inference(unit_resolution,[status(thm)],[34626, 18037, 34625])).
% 9.06/6.98 tff(34628,plain,
% 9.06/6.98 ((((~v88(constB121, bitIndex1)) <=> v90(constB121, bitIndex1)) | ((~v88(constB121, bitIndex2)) <=> v90(constB121, bitIndex2)) | ((~v88(constB121, bitIndex0)) <=> v90(constB121, bitIndex0))) | (~((~v88(constB121, bitIndex1)) <=> v90(constB121, bitIndex1)))),
% 9.06/6.98 inference(tautology,[status(thm)],[])).
% 9.06/6.98 tff(34629,plain,
% 9.06/6.98 (~((~v88(constB121, bitIndex1)) <=> v90(constB121, bitIndex1))),
% 9.06/6.98 inference(unit_resolution,[status(thm)],[34628, 34619])).
% 9.06/6.98 tff(34630,plain,
% 9.06/6.98 (((~v88(constB121, bitIndex1)) <=> v90(constB121, bitIndex1)) | v88(constB121, bitIndex1) | (~v90(constB121, bitIndex1))),
% 9.06/6.98 inference(tautology,[status(thm)],[])).
% 9.06/6.98 tff(34631,plain,
% 9.06/6.98 (v88(constB121, bitIndex1)),
% 9.06/6.98 inference(unit_resolution,[status(thm)],[34630, 18055, 34629])).
% 9.06/6.98 tff(34632,plain,
% 9.06/6.98 ((~((~v88(constB121, bitIndex1)) | v88(constB121, bitIndex2) | (~v88(constB121, bitIndex0)))) | (~v88(constB121, bitIndex1)) | v88(constB121, bitIndex2) | (~v88(constB121, bitIndex0))),
% 9.06/6.98 inference(tautology,[status(thm)],[])).
% 9.06/6.98 tff(34633,plain,
% 9.06/6.98 (~((~v88(constB121, bitIndex1)) | v88(constB121, bitIndex2) | (~v88(constB121, bitIndex0)))),
% 9.06/6.98 inference(unit_resolution,[status(thm)],[34632, 34631, 34627, 34623])).
% 9.06/6.98 tff(34634,plain,
% 9.06/6.98 ((~(v141(constB121) <=> (~((~v88(constB121, bitIndex1)) | v88(constB121, bitIndex2) | (~v88(constB121, bitIndex0)))))) | v141(constB121) | ((~v88(constB121, bitIndex1)) | v88(constB121, bitIndex2) | (~v88(constB121, bitIndex0)))),
% 9.06/6.98 inference(tautology,[status(thm)],[])).
% 9.06/6.98 tff(34635,plain,
% 9.06/6.98 (v141(constB121)),
% 9.06/6.98 inference(unit_resolution,[status(thm)],[34634, 34633, 34617])).
% 9.06/6.98 tff(34636,plain,
% 9.06/6.98 ((v141(constB121) | v169(constB121)) | (~v141(constB121))),
% 9.06/6.98 inference(tautology,[status(thm)],[])).
% 9.06/6.98 tff(34637,plain,
% 9.06/6.98 (v141(constB121) | v169(constB121)),
% 9.06/6.98 inference(unit_resolution,[status(thm)],[34636, 34635])).
% 9.06/6.98 tff(34638,plain,
% 9.06/6.98 ((~(v168(constB121) <=> (v141(constB121) | v169(constB121)))) | v168(constB121) | (~(v141(constB121) | v169(constB121)))),
% 9.06/6.98 inference(tautology,[status(thm)],[])).
% 9.06/6.98 tff(34639,plain,
% 9.06/6.98 (v168(constB121)),
% 9.06/6.98 inference(unit_resolution,[status(thm)],[34638, 34637, 34610])).
% 9.06/6.98 tff(34640,plain,
% 9.06/6.98 ((v142(constB121) | v168(constB121)) | (~v168(constB121))),
% 9.06/6.98 inference(tautology,[status(thm)],[])).
% 9.06/6.98 tff(34641,plain,
% 9.06/6.98 (v142(constB121) | v168(constB121)),
% 9.06/6.98 inference(unit_resolution,[status(thm)],[34640, 34639])).
% 9.06/6.98 tff(34642,plain,
% 9.06/6.98 ((~(v167(constB121) <=> (v142(constB121) | v168(constB121)))) | v167(constB121) | (~(v142(constB121) | v168(constB121)))),
% 9.06/6.98 inference(tautology,[status(thm)],[])).
% 9.06/6.98 tff(34643,plain,
% 9.06/6.98 ((~(v167(constB121) <=> (v142(constB121) | v168(constB121)))) | v167(constB121)),
% 9.06/6.98 inference(unit_resolution,[status(thm)],[34642, 34641])).
% 9.06/6.98 tff(34644,plain,
% 9.06/6.98 (v167(constB121)),
% 9.06/6.98 inference(unit_resolution,[status(thm)],[34643, 34608])).
% 9.06/6.98 tff(34645,plain,
% 9.06/6.98 ((v145(constB121) | v167(constB121)) | (~v167(constB121))),
% 9.06/6.98 inference(tautology,[status(thm)],[])).
% 9.06/6.98 tff(34646,plain,
% 9.06/6.98 (v145(constB121) | v167(constB121)),
% 9.06/6.98 inference(unit_resolution,[status(thm)],[34645, 34644])).
% 9.06/6.98 tff(34647,plain,
% 9.06/6.98 ((~(v166(constB121) <=> (v145(constB121) | v167(constB121)))) | v166(constB121) | (~(v145(constB121) | v167(constB121)))),
% 9.06/6.98 inference(tautology,[status(thm)],[])).
% 9.06/6.98 tff(34648,plain,
% 9.06/6.98 (v166(constB121)),
% 9.06/6.98 inference(unit_resolution,[status(thm)],[34647, 34646, 34606])).
% 9.06/6.98 tff(34649,plain,
% 9.06/6.98 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB121)) | (v163(constB121) <=> v170(constB121)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB121)) | (v163(constB121) <=> v170(constB121)))),
% 9.06/6.98 inference(rewrite,[status(thm)],[])).
% 9.06/6.98 tff(34650,plain,
% 9.06/6.98 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB121)) | (v163(constB121) <=> v170(constB121)))),
% 9.06/6.98 inference(quant_inst,[status(thm)],[])).
% 9.06/6.98 tff(34651,plain,
% 9.06/6.98 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB121)) | (v163(constB121) <=> v170(constB121))),
% 9.06/6.98 inference(modus_ponens,[status(thm)],[34650, 34649])).
% 9.06/6.98 tff(34652,plain,
% 9.06/6.98 ((~v166(constB121)) | (v163(constB121) <=> v170(constB121))),
% 9.06/6.98 inference(unit_resolution,[status(thm)],[34651, 9851])).
% 9.06/6.98 tff(34653,plain,
% 9.06/6.98 (v163(constB121) <=> v170(constB121)),
% 9.06/6.98 inference(unit_resolution,[status(thm)],[34652, 34648])).
% 9.06/6.98 tff(34654,plain,
% 9.06/6.98 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB121) <=> (v142(constB121) | v150(constB121)))),
% 9.06/6.98 inference(quant_inst,[status(thm)],[])).
% 9.06/6.98 tff(34655,plain,
% 9.06/6.98 (v171(constB121) <=> (v142(constB121) | v150(constB121))),
% 9.06/6.98 inference(unit_resolution,[status(thm)],[34654, 9866])).
% 9.06/6.98 tff(34656,plain,
% 9.06/6.98 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v141(VarCurr) | v151(VarCurr)))) | (v150(constB121) <=> (v141(constB121) | v151(constB121)))),
% 9.06/6.98 inference(quant_inst,[status(thm)],[])).
% 9.06/6.98 tff(34657,plain,
% 9.06/6.98 (v150(constB121) <=> (v141(constB121) | v151(constB121))),
% 9.06/6.98 inference(unit_resolution,[status(thm)],[34656, 9878])).
% 9.06/6.98 tff(34658,plain,
% 9.06/6.98 ((v141(constB121) | v151(constB121)) | (~v141(constB121))),
% 9.06/6.98 inference(tautology,[status(thm)],[])).
% 9.06/6.98 tff(34659,plain,
% 9.06/6.98 (v141(constB121) | v151(constB121)),
% 9.06/6.98 inference(unit_resolution,[status(thm)],[34658, 34635])).
% 9.06/6.98 tff(34660,plain,
% 9.06/6.98 ((~(v150(constB121) <=> (v141(constB121) | v151(constB121)))) | v150(constB121) | (~(v141(constB121) | v151(constB121)))),
% 9.06/6.98 inference(tautology,[status(thm)],[])).
% 9.06/6.98 tff(34661,plain,
% 9.06/6.98 (v150(constB121)),
% 9.06/6.98 inference(unit_resolution,[status(thm)],[34660, 34659, 34657])).
% 9.06/6.98 tff(34662,plain,
% 9.06/6.98 ((v142(constB121) | v150(constB121)) | (~v150(constB121))),
% 9.06/6.98 inference(tautology,[status(thm)],[])).
% 9.06/6.98 tff(34663,plain,
% 9.06/6.98 (v142(constB121) | v150(constB121)),
% 9.06/6.98 inference(unit_resolution,[status(thm)],[34662, 34661])).
% 9.06/6.98 tff(34664,plain,
% 9.06/6.98 ((~(v171(constB121) <=> (v142(constB121) | v150(constB121)))) | v171(constB121) | (~(v142(constB121) | v150(constB121)))),
% 9.06/6.98 inference(tautology,[status(thm)],[])).
% 9.06/6.98 tff(34665,plain,
% 9.06/6.98 ((~(v171(constB121) <=> (v142(constB121) | v150(constB121)))) | v171(constB121)),
% 9.06/6.98 inference(unit_resolution,[status(thm)],[34664, 34663])).
% 9.06/6.98 tff(34666,plain,
% 9.06/6.98 (v171(constB121)),
% 9.06/6.98 inference(unit_resolution,[status(thm)],[34665, 34655])).
% 9.06/6.98 tff(34667,plain,
% 9.06/6.98 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB121)) | (~v171(constB121)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB121)) | (~v171(constB121)))),
% 9.06/6.98 inference(rewrite,[status(thm)],[])).
% 9.06/6.98 tff(34668,plain,
% 9.06/6.98 (((~v171(constB121)) | (~v170(constB121))) <=> ((~v170(constB121)) | (~v171(constB121)))),
% 9.06/6.98 inference(rewrite,[status(thm)],[])).
% 9.06/6.98 tff(34669,plain,
% 9.06/6.98 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB121)) | (~v170(constB121)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB121)) | (~v171(constB121))))),
% 9.06/6.98 inference(monotonicity,[status(thm)],[34668])).
% 9.06/6.98 tff(34670,plain,
% 9.06/6.98 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB121)) | (~v170(constB121)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB121)) | (~v171(constB121)))),
% 9.06/6.98 inference(transitivity,[status(thm)],[34669, 34667])).
% 9.06/6.98 tff(34671,plain,
% 9.06/6.98 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB121)) | (~v170(constB121)))),
% 9.06/6.98 inference(quant_inst,[status(thm)],[])).
% 9.06/6.98 tff(34672,plain,
% 9.06/6.98 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB121)) | (~v171(constB121))),
% 9.06/6.98 inference(modus_ponens,[status(thm)],[34671, 34670])).
% 9.06/6.98 tff(34673,plain,
% 9.06/6.98 (~v170(constB121)),
% 9.06/6.98 inference(unit_resolution,[status(thm)],[34672, 9899, 34666])).
% 9.06/6.98 tff(34674,plain,
% 9.06/6.98 ((~(v163(constB121) <=> v170(constB121))) | (~v163(constB121)) | v170(constB121)),
% 9.06/6.98 inference(tautology,[status(thm)],[])).
% 9.06/6.98 tff(34675,plain,
% 9.06/6.98 (~v163(constB121)),
% 9.06/6.98 inference(unit_resolution,[status(thm)],[34674, 34673, 34653])).
% 9.06/6.98 tff(34676,plain,
% 9.06/6.98 ((~(v161(constB121) <=> v163(constB121))) | (~v161(constB121)) | v163(constB121)),
% 9.06/6.98 inference(tautology,[status(thm)],[])).
% 9.06/6.98 tff(34677,plain,
% 9.06/6.98 (~v161(constB121)),
% 9.06/6.98 inference(unit_resolution,[status(thm)],[34676, 34675, 34604])).
% 9.06/6.98 tff(34678,plain,
% 9.06/6.98 (((~v159(constB121)) | (~v161(constB121))) | v161(constB121)),
% 9.06/6.98 inference(tautology,[status(thm)],[])).
% 9.06/6.98 tff(34679,plain,
% 9.06/6.98 ((~v159(constB121)) | (~v161(constB121))),
% 9.06/6.98 inference(unit_resolution,[status(thm)],[34678, 34677])).
% 9.06/6.98 tff(34680,plain,
% 9.06/6.98 ((~(v201(constB121) <=> (~((~v159(constB121)) | (~v161(constB121)))))) | (~v201(constB121)) | (~((~v159(constB121)) | (~v161(constB121))))),
% 9.06/6.98 inference(tautology,[status(thm)],[])).
% 9.06/6.98 tff(34681,plain,
% 9.06/6.98 (~v201(constB121)),
% 9.06/6.98 inference(unit_resolution,[status(thm)],[34680, 34679, 34602])).
% 9.06/6.98 tff(34682,plain,
% 9.06/6.98 (((~v197(constB121)) | (~v201(constB121))) | v201(constB121)),
% 9.06/6.98 inference(tautology,[status(thm)],[])).
% 9.06/6.98 tff(34683,plain,
% 9.06/6.98 ((~v197(constB121)) | (~v201(constB121))),
% 9.06/6.98 inference(unit_resolution,[status(thm)],[34682, 34681])).
% 9.06/6.98 tff(34684,plain,
% 9.06/6.98 ((~(v200(constB121) <=> (~((~v197(constB121)) | (~v201(constB121)))))) | (~v200(constB121)) | (~((~v197(constB121)) | (~v201(constB121))))),
% 9.06/6.98 inference(tautology,[status(thm)],[])).
% 9.06/6.98 tff(34685,plain,
% 9.06/6.98 (~v200(constB121)),
% 9.06/6.98 inference(unit_resolution,[status(thm)],[34684, 34683, 34600])).
% 9.06/6.98 tff(34686,plain,
% 9.06/6.98 (((~v199(constB121)) | (~v200(constB121))) | v200(constB121)),
% 9.06/6.98 inference(tautology,[status(thm)],[])).
% 9.06/6.98 tff(34687,plain,
% 9.06/6.98 ((~v199(constB121)) | (~v200(constB121))),
% 9.06/6.98 inference(unit_resolution,[status(thm)],[34686, 34685])).
% 9.06/6.98 tff(34688,plain,
% 9.06/6.98 ((~(v198(constB121) <=> (~((~v199(constB121)) | (~v200(constB121)))))) | (~v198(constB121)) | (~((~v199(constB121)) | (~v200(constB121))))),
% 9.06/6.98 inference(tautology,[status(thm)],[])).
% 9.06/6.98 tff(34689,plain,
% 9.06/6.98 (~v198(constB121)),
% 9.06/6.98 inference(unit_resolution,[status(thm)],[34688, 34687, 34598])).
% 9.06/6.98 tff(34690,plain,
% 9.06/6.98 ((~(v194(constB121) | v198(constB121))) | v194(constB121) | v198(constB121)),
% 9.06/6.98 inference(tautology,[status(thm)],[])).
% 9.06/6.98 tff(34691,plain,
% 9.06/6.98 (~(v194(constB121) | v198(constB121))),
% 9.06/6.98 inference(unit_resolution,[status(thm)],[34690, 34689, 34596])).
% 9.06/6.98 tff(34692,plain,
% 9.06/6.98 ((~(v191(constB121) <=> (v194(constB121) | v198(constB121)))) | (~v191(constB121)) | (v194(constB121) | v198(constB121))),
% 9.06/6.98 inference(tautology,[status(thm)],[])).
% 9.06/6.98 tff(34693,plain,
% 9.06/6.98 (~v191(constB121)),
% 9.06/6.98 inference(unit_resolution,[status(thm)],[34692, 34691, 34523])).
% 9.06/6.98 tff(34694,plain,
% 9.06/6.98 ((~(v193(constB122) <=> v191(constB121))) | (~v193(constB122)) | v191(constB121)),
% 9.06/6.98 inference(tautology,[status(thm)],[])).
% 9.06/6.98 tff(34695,plain,
% 9.06/6.98 (~v193(constB122)),
% 9.06/6.98 inference(unit_resolution,[status(thm)],[34694, 34693, 34521])).
% 9.06/6.98 tff(34696,plain,
% 9.06/6.98 ((~(v157(constB122) <=> v193(constB122))) | (~v157(constB122)) | v193(constB122)),
% 9.06/6.98 inference(tautology,[status(thm)],[])).
% 9.06/6.98 tff(34697,plain,
% 9.06/6.98 (~v157(constB122)),
% 9.06/6.98 inference(unit_resolution,[status(thm)],[34696, 34695, 34517])).
% 9.06/6.98 tff(34698,plain,
% 9.06/6.98 (((~v157(constB122)) | (~v195(constB122))) | v157(constB122)),
% 9.06/6.98 inference(tautology,[status(thm)],[])).
% 9.06/6.98 tff(34699,plain,
% 9.06/6.98 ((~v157(constB122)) | (~v195(constB122))),
% 9.06/6.98 inference(unit_resolution,[status(thm)],[34698, 34697])).
% 9.06/6.98 tff(34700,plain,
% 9.06/6.98 ((~(v194(constB122) <=> (~((~v157(constB122)) | (~v195(constB122)))))) | (~v194(constB122)) | (~((~v157(constB122)) | (~v195(constB122))))),
% 9.06/6.98 inference(tautology,[status(thm)],[])).
% 9.06/6.98 tff(34701,plain,
% 9.06/6.98 (~v194(constB122)),
% 9.06/6.98 inference(unit_resolution,[status(thm)],[34700, 34699, 34515])).
% 9.06/6.98 tff(34702,plain,
% 9.06/6.98 ((~(v194(constB122) | v198(constB122))) | v194(constB122) | v198(constB122)),
% 9.06/6.98 inference(tautology,[status(thm)],[])).
% 9.06/6.98 tff(34703,plain,
% 9.06/6.98 (~(v194(constB122) | v198(constB122))),
% 9.06/6.98 inference(unit_resolution,[status(thm)],[34702, 34701, 34508])).
% 9.06/6.98 tff(34704,plain,
% 9.06/6.98 ((~(v191(constB122) <=> (v194(constB122) | v198(constB122)))) | (~v191(constB122)) | (v194(constB122) | v198(constB122))),
% 9.06/6.98 inference(tautology,[status(thm)],[])).
% 9.06/6.98 tff(34705,plain,
% 9.06/6.98 (~v191(constB122)),
% 9.06/6.98 inference(unit_resolution,[status(thm)],[34704, 34703, 34483])).
% 9.06/6.98 tff(34706,plain,
% 9.06/6.98 ((~(v193(constB123) <=> v191(constB122))) | (~v193(constB123)) | v191(constB122)),
% 9.06/6.98 inference(tautology,[status(thm)],[])).
% 9.06/6.98 tff(34707,plain,
% 9.06/6.98 (~v193(constB123)),
% 9.06/6.98 inference(unit_resolution,[status(thm)],[34706, 34705, 34481])).
% 9.06/6.98 tff(34708,plain,
% 9.06/6.98 ($false),
% 9.06/6.98 inference(unit_resolution,[status(thm)],[34707, 34477])).
% 9.06/6.98 tff(34709,plain,(~(constB123 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.06/6.98 tff(34710,assumption,(constB129 = VarCurr!0), introduced(assumption)).
% 9.06/6.98 tff(34711,plain,
% 9.06/6.98 (v86(constB129) <=> v86(VarCurr!0)),
% 9.06/6.98 inference(monotonicity,[status(thm)],[34710])).
% 9.06/6.98 tff(34712,plain,
% 9.06/6.98 (v86(VarCurr!0) <=> v86(constB129)),
% 9.06/6.98 inference(symmetry,[status(thm)],[34711])).
% 9.06/6.98 tff(34713,plain,
% 9.06/6.98 ((~v86(VarCurr!0)) <=> (~v86(constB129))),
% 9.06/6.98 inference(monotonicity,[status(thm)],[34712])).
% 9.06/6.98 tff(34714,plain,
% 9.06/6.98 (~v86(constB129)),
% 9.06/6.98 inference(modus_ponens,[status(thm)],[14736, 34713])).
% 9.06/6.98 tff(34715,plain,
% 9.06/6.98 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB129) <=> (v136(constB129) | v145(constB129)))),
% 9.06/6.98 inference(quant_inst,[status(thm)],[])).
% 9.06/6.98 tff(34716,plain,
% 9.06/6.98 (v135(constB129) <=> (v136(constB129) | v145(constB129))),
% 9.06/6.98 inference(unit_resolution,[status(thm)],[34715, 14744])).
% 9.06/6.98 tff(34717,plain,
% 9.06/6.98 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB129) <=> (v137(constB129) | v142(constB129)))),
% 9.06/6.98 inference(quant_inst,[status(thm)],[])).
% 9.06/6.98 tff(34718,plain,
% 9.06/6.98 (v136(constB129) <=> (v137(constB129) | v142(constB129))),
% 9.06/6.98 inference(unit_resolution,[status(thm)],[34717, 14753])).
% 9.06/6.98 tff(34719,plain,
% 9.06/6.98 ((v137(constB129) | v142(constB129)) | (~v142(constB129))),
% 9.06/6.98 inference(tautology,[status(thm)],[])).
% 9.06/6.99 tff(34720,plain,
% 9.06/6.99 (v137(constB129) | v142(constB129)),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34719, 31737])).
% 9.06/6.99 tff(34721,plain,
% 9.06/6.99 ((~(v136(constB129) <=> (v137(constB129) | v142(constB129)))) | v136(constB129) | (~(v137(constB129) | v142(constB129)))),
% 9.06/6.99 inference(tautology,[status(thm)],[])).
% 9.06/6.99 tff(34722,plain,
% 9.06/6.99 ((~(v136(constB129) <=> (v137(constB129) | v142(constB129)))) | v136(constB129)),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34721, 34720])).
% 9.06/6.99 tff(34723,plain,
% 9.06/6.99 (v136(constB129)),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34722, 34718])).
% 9.06/6.99 tff(34724,plain,
% 9.06/6.99 ((v136(constB129) | v145(constB129)) | (~v136(constB129))),
% 9.06/6.99 inference(tautology,[status(thm)],[])).
% 9.06/6.99 tff(34725,plain,
% 9.06/6.99 (v136(constB129) | v145(constB129)),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34724, 34723])).
% 9.06/6.99 tff(34726,plain,
% 9.06/6.99 ((~(v135(constB129) <=> (v136(constB129) | v145(constB129)))) | v135(constB129) | (~(v136(constB129) | v145(constB129)))),
% 9.06/6.99 inference(tautology,[status(thm)],[])).
% 9.06/6.99 tff(34727,plain,
% 9.06/6.99 (v135(constB129)),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34726, 34725, 34716])).
% 9.06/6.99 tff(34728,plain,
% 9.06/6.99 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB129)) | (v86(constB129) <=> v148(constB129)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB129)) | (v86(constB129) <=> v148(constB129)))),
% 9.06/6.99 inference(rewrite,[status(thm)],[])).
% 9.06/6.99 tff(34729,plain,
% 9.06/6.99 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB129)) | (v86(constB129) <=> v148(constB129)))),
% 9.06/6.99 inference(quant_inst,[status(thm)],[])).
% 9.06/6.99 tff(34730,plain,
% 9.06/6.99 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB129)) | (v86(constB129) <=> v148(constB129))),
% 9.06/6.99 inference(modus_ponens,[status(thm)],[34729, 34728])).
% 9.06/6.99 tff(34731,plain,
% 9.06/6.99 (v86(constB129) <=> v148(constB129)),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34730, 14818, 34727])).
% 9.06/6.99 tff(34732,plain,
% 9.06/6.99 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB129) | (~v142(constB129)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB129) | (~v142(constB129)))),
% 9.06/6.99 inference(rewrite,[status(thm)],[])).
% 9.06/6.99 tff(34733,plain,
% 9.06/6.99 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB129) | (~v142(constB129)))),
% 9.06/6.99 inference(quant_inst,[status(thm)],[])).
% 9.06/6.99 tff(34734,plain,
% 9.06/6.99 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB129) | (~v142(constB129))),
% 9.06/6.99 inference(modus_ponens,[status(thm)],[34733, 34732])).
% 9.06/6.99 tff(34735,plain,
% 9.06/6.99 (v148(constB129)),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34734, 14832, 31737])).
% 9.06/6.99 tff(34736,plain,
% 9.06/6.99 ((~(v86(constB129) <=> v148(constB129))) | v86(constB129) | (~v148(constB129))),
% 9.06/6.99 inference(tautology,[status(thm)],[])).
% 9.06/6.99 tff(34737,plain,
% 9.06/6.99 ((~(v86(constB129) <=> v148(constB129))) | v86(constB129)),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34736, 34735])).
% 9.06/6.99 tff(34738,plain,
% 9.06/6.99 (v86(constB129)),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34737, 34731])).
% 9.06/6.99 tff(34739,plain,
% 9.06/6.99 ($false),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34738, 34714])).
% 9.06/6.99 tff(34740,plain,(~(constB129 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.06/6.99 tff(34741,assumption,(constB77 = VarCurr!0), introduced(assumption)).
% 9.06/6.99 tff(34742,plain,
% 9.06/6.99 (v193(constB77) <=> v193(VarCurr!0)),
% 9.06/6.99 inference(monotonicity,[status(thm)],[34741])).
% 9.06/6.99 tff(34743,plain,
% 9.06/6.99 (v193(VarCurr!0) <=> v193(constB77)),
% 9.06/6.99 inference(symmetry,[status(thm)],[34742])).
% 9.06/6.99 tff(34744,plain,
% 9.06/6.99 (v193(constB77)),
% 9.06/6.99 inference(modus_ponens,[status(thm)],[59, 34743])).
% 9.06/6.99 tff(34745,plain,
% 9.06/6.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB76, constB77)) | (v193(constB77) <=> v191(constB76)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB76, constB77)) | (v193(constB77) <=> v191(constB76)))),
% 9.06/6.99 inference(rewrite,[status(thm)],[])).
% 9.06/6.99 tff(34746,plain,
% 9.06/6.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB76, constB77)) | (v193(constB77) <=> v191(constB76)))),
% 9.06/6.99 inference(quant_inst,[status(thm)],[])).
% 9.06/6.99 tff(34747,plain,
% 9.06/6.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB76, constB77)) | (v193(constB77) <=> v191(constB76))),
% 9.06/6.99 inference(modus_ponens,[status(thm)],[34746, 34745])).
% 9.06/6.99 tff(34748,plain,
% 9.06/6.99 (v193(constB77) <=> v191(constB76)),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34747, 670, 70])).
% 9.06/6.99 tff(34749,plain,
% 9.06/6.99 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB76) <=> (v194(constB76) | v198(constB76)))),
% 9.06/6.99 inference(quant_inst,[status(thm)],[])).
% 9.06/6.99 tff(34750,plain,
% 9.06/6.99 (v191(constB76) <=> (v194(constB76) | v198(constB76))),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34749, 84])).
% 9.06/6.99 tff(34751,plain,
% 9.06/6.99 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB76) <=> (~((~v199(constB76)) | (~v200(constB76)))))),
% 9.06/6.99 inference(quant_inst,[status(thm)],[])).
% 9.06/6.99 tff(34752,plain,
% 9.06/6.99 (v198(constB76) <=> (~((~v199(constB76)) | (~v200(constB76))))),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34751, 96])).
% 9.06/6.99 tff(34753,plain,
% 9.06/6.99 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB76) <=> (~((~v197(constB76)) | (~v201(constB76)))))),
% 9.06/6.99 inference(quant_inst,[status(thm)],[])).
% 9.06/6.99 tff(34754,plain,
% 9.06/6.99 (v200(constB76) <=> (~((~v197(constB76)) | (~v201(constB76))))),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34753, 108])).
% 9.06/6.99 tff(34755,plain,
% 9.06/6.99 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB76) <=> (~((~v39(constB76)) | (~v9(constB76)))))),
% 9.06/6.99 inference(quant_inst,[status(thm)],[])).
% 9.06/6.99 tff(34756,plain,
% 9.06/6.99 (v197(constB76) <=> (~((~v39(constB76)) | (~v9(constB76))))),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34755, 120])).
% 9.06/6.99 tff(34757,plain,
% 9.06/6.99 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB76)) <=> v1(constB76))),
% 9.06/6.99 inference(quant_inst,[status(thm)],[])).
% 9.06/6.99 tff(34758,plain,
% 9.06/6.99 ((~v39(constB76)) <=> v1(constB76)),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34757, 129])).
% 9.06/6.99 tff(34759,plain,
% 9.06/6.99 ((~((~v39(constB76)) <=> v1(constB76))) | (~v39(constB76)) | (~v1(constB76))),
% 9.06/6.99 inference(tautology,[status(thm)],[])).
% 9.06/6.99 tff(34760,plain,
% 9.06/6.99 ((~((~v39(constB76)) <=> v1(constB76))) | (~v39(constB76))),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34759, 9406])).
% 9.06/6.99 tff(34761,plain,
% 9.06/6.99 (~v39(constB76)),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34760, 34758])).
% 9.06/6.99 tff(34762,plain,
% 9.06/6.99 (((~v39(constB76)) | (~v9(constB76))) | v39(constB76)),
% 9.06/6.99 inference(tautology,[status(thm)],[])).
% 9.06/6.99 tff(34763,plain,
% 9.06/6.99 ((~v39(constB76)) | (~v9(constB76))),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34762, 34761])).
% 9.06/6.99 tff(34764,plain,
% 9.06/6.99 ((~(v197(constB76) <=> (~((~v39(constB76)) | (~v9(constB76)))))) | (~v197(constB76)) | (~((~v39(constB76)) | (~v9(constB76))))),
% 9.06/6.99 inference(tautology,[status(thm)],[])).
% 9.06/6.99 tff(34765,plain,
% 9.06/6.99 ((~(v197(constB76) <=> (~((~v39(constB76)) | (~v9(constB76)))))) | (~v197(constB76))),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34764, 34763])).
% 9.06/6.99 tff(34766,plain,
% 9.06/6.99 (~v197(constB76)),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34765, 34756])).
% 9.06/6.99 tff(34767,plain,
% 9.06/6.99 (((~v197(constB76)) | (~v201(constB76))) | v197(constB76)),
% 9.06/6.99 inference(tautology,[status(thm)],[])).
% 9.06/6.99 tff(34768,plain,
% 9.06/6.99 ((~v197(constB76)) | (~v201(constB76))),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34767, 34766])).
% 9.06/6.99 tff(34769,plain,
% 9.06/6.99 ((~(v200(constB76) <=> (~((~v197(constB76)) | (~v201(constB76)))))) | (~v200(constB76)) | (~((~v197(constB76)) | (~v201(constB76))))),
% 9.06/6.99 inference(tautology,[status(thm)],[])).
% 9.06/6.99 tff(34770,plain,
% 9.06/6.99 ((~(v200(constB76) <=> (~((~v197(constB76)) | (~v201(constB76)))))) | (~v200(constB76))),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34769, 34768])).
% 9.06/6.99 tff(34771,plain,
% 9.06/6.99 (~v200(constB76)),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34770, 34754])).
% 9.06/6.99 tff(34772,plain,
% 9.06/6.99 (((~v199(constB76)) | (~v200(constB76))) | v200(constB76)),
% 9.06/6.99 inference(tautology,[status(thm)],[])).
% 9.06/6.99 tff(34773,plain,
% 9.06/6.99 ((~v199(constB76)) | (~v200(constB76))),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34772, 34771])).
% 9.06/6.99 tff(34774,plain,
% 9.06/6.99 ((~(v198(constB76) <=> (~((~v199(constB76)) | (~v200(constB76)))))) | (~v198(constB76)) | (~((~v199(constB76)) | (~v200(constB76))))),
% 9.06/6.99 inference(tautology,[status(thm)],[])).
% 9.06/6.99 tff(34775,plain,
% 9.06/6.99 (~v198(constB76)),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34774, 34773, 34752])).
% 9.06/6.99 tff(34776,plain,
% 9.06/6.99 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB76) <=> (~((~v157(constB76)) | (~v195(constB76)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB76) <=> (~((~v157(constB76)) | (~v195(constB76))))))),
% 9.06/6.99 inference(rewrite,[status(thm)],[])).
% 9.06/6.99 tff(34777,plain,
% 9.06/6.99 ((v194(constB76) <=> (~((~v195(constB76)) | (~v157(constB76))))) <=> (v194(constB76) <=> (~((~v157(constB76)) | (~v195(constB76)))))),
% 9.06/6.99 inference(rewrite,[status(thm)],[])).
% 9.06/6.99 tff(34778,plain,
% 9.06/6.99 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB76) <=> (~((~v195(constB76)) | (~v157(constB76)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB76) <=> (~((~v157(constB76)) | (~v195(constB76))))))),
% 9.06/6.99 inference(monotonicity,[status(thm)],[34777])).
% 9.06/6.99 tff(34779,plain,
% 9.06/6.99 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB76) <=> (~((~v195(constB76)) | (~v157(constB76)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB76) <=> (~((~v157(constB76)) | (~v195(constB76))))))),
% 9.06/6.99 inference(transitivity,[status(thm)],[34778, 34776])).
% 9.06/6.99 tff(34780,plain,
% 9.06/6.99 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB76) <=> (~((~v195(constB76)) | (~v157(constB76)))))),
% 9.06/6.99 inference(quant_inst,[status(thm)],[])).
% 9.06/6.99 tff(34781,plain,
% 9.06/6.99 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB76) <=> (~((~v157(constB76)) | (~v195(constB76)))))),
% 9.06/6.99 inference(modus_ponens,[status(thm)],[34780, 34779])).
% 9.06/6.99 tff(34782,plain,
% 9.06/6.99 (v194(constB76) <=> (~((~v157(constB76)) | (~v195(constB76))))),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34781, 161])).
% 9.06/6.99 tff(34783,plain,
% 9.06/6.99 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB76) <=> v193(constB76))),
% 9.06/6.99 inference(quant_inst,[status(thm)],[])).
% 9.06/6.99 tff(34784,plain,
% 9.06/6.99 (v157(constB76) <=> v193(constB76)),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34783, 13])).
% 9.06/6.99 tff(34785,plain,
% 9.06/6.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB75, constB76)) | (v193(constB76) <=> v191(constB75)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB75, constB76)) | (v193(constB76) <=> v191(constB75)))),
% 9.06/6.99 inference(rewrite,[status(thm)],[])).
% 9.06/6.99 tff(34786,plain,
% 9.06/6.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB75, constB76)) | (v193(constB76) <=> v191(constB75)))),
% 9.06/6.99 inference(quant_inst,[status(thm)],[])).
% 9.06/6.99 tff(34787,plain,
% 9.06/6.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB75, constB76)) | (v193(constB76) <=> v191(constB75))),
% 9.06/6.99 inference(modus_ponens,[status(thm)],[34786, 34785])).
% 9.06/6.99 tff(34788,plain,
% 9.06/6.99 (v193(constB76) <=> v191(constB75)),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34787, 706, 70])).
% 9.06/6.99 tff(34789,plain,
% 9.06/6.99 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB75) <=> (v194(constB75) | v198(constB75)))),
% 9.06/6.99 inference(quant_inst,[status(thm)],[])).
% 9.06/6.99 tff(34790,plain,
% 9.06/6.99 (v191(constB75) <=> (v194(constB75) | v198(constB75))),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34789, 84])).
% 9.06/6.99 tff(34791,plain,
% 9.06/6.99 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB75) <=> (~((~v157(constB75)) | (~v195(constB75)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB75) <=> (~((~v157(constB75)) | (~v195(constB75))))))),
% 9.06/6.99 inference(rewrite,[status(thm)],[])).
% 9.06/6.99 tff(34792,plain,
% 9.06/6.99 ((v194(constB75) <=> (~((~v195(constB75)) | (~v157(constB75))))) <=> (v194(constB75) <=> (~((~v157(constB75)) | (~v195(constB75)))))),
% 9.06/6.99 inference(rewrite,[status(thm)],[])).
% 9.06/6.99 tff(34793,plain,
% 9.06/6.99 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB75) <=> (~((~v195(constB75)) | (~v157(constB75)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB75) <=> (~((~v157(constB75)) | (~v195(constB75))))))),
% 9.06/6.99 inference(monotonicity,[status(thm)],[34792])).
% 9.06/6.99 tff(34794,plain,
% 9.06/6.99 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB75) <=> (~((~v195(constB75)) | (~v157(constB75)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB75) <=> (~((~v157(constB75)) | (~v195(constB75))))))),
% 9.06/6.99 inference(transitivity,[status(thm)],[34793, 34791])).
% 9.06/6.99 tff(34795,plain,
% 9.06/6.99 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB75) <=> (~((~v195(constB75)) | (~v157(constB75)))))),
% 9.06/6.99 inference(quant_inst,[status(thm)],[])).
% 9.06/6.99 tff(34796,plain,
% 9.06/6.99 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB75) <=> (~((~v157(constB75)) | (~v195(constB75)))))),
% 9.06/6.99 inference(modus_ponens,[status(thm)],[34795, 34794])).
% 9.06/6.99 tff(34797,plain,
% 9.06/6.99 (v194(constB75) <=> (~((~v157(constB75)) | (~v195(constB75))))),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34796, 161])).
% 9.06/6.99 tff(34798,plain,
% 9.06/6.99 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB75)) <=> v196(constB75))),
% 9.06/6.99 inference(quant_inst,[status(thm)],[])).
% 9.06/6.99 tff(34799,plain,
% 9.06/6.99 ((~v195(constB75)) <=> v196(constB75)),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34798, 193])).
% 9.06/6.99 tff(34800,plain,
% 9.06/6.99 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB75) <=> (v197(constB75) | v26(constB75)))),
% 9.06/6.99 inference(quant_inst,[status(thm)],[])).
% 9.06/6.99 tff(34801,plain,
% 9.06/6.99 (v196(constB75) <=> (v197(constB75) | v26(constB75))),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34800, 202])).
% 9.06/6.99 tff(34802,plain,
% 9.06/6.99 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB75) <=> (~((~v39(constB75)) | (~v9(constB75)))))),
% 9.06/6.99 inference(quant_inst,[status(thm)],[])).
% 9.06/6.99 tff(34803,plain,
% 9.06/6.99 (v197(constB75) <=> (~((~v39(constB75)) | (~v9(constB75))))),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34802, 120])).
% 9.06/6.99 tff(34804,plain,
% 9.06/6.99 (((~![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)))),
% 9.06/6.99 inference(rewrite,[status(thm)],[])).
% 9.06/6.99 tff(34805,plain,
% 9.06/6.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB75, constB76)) | (v13(constB76) <=> v9(constB75)))),
% 9.06/6.99 inference(quant_inst,[status(thm)],[])).
% 9.06/6.99 tff(34806,plain,
% 9.06/6.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB75, constB76)) | (v13(constB76) <=> v9(constB75))),
% 9.06/6.99 inference(modus_ponens,[status(thm)],[34805, 34804])).
% 9.06/6.99 tff(34807,plain,
% 9.06/6.99 (v13(constB76) <=> v9(constB75)),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34806, 706, 216])).
% 9.06/6.99 tff(34808,plain,
% 9.06/6.99 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB76) <=> v13(constB76))),
% 9.06/6.99 inference(quant_inst,[status(thm)],[])).
% 9.06/6.99 tff(34809,plain,
% 9.06/6.99 (v6(constB76) <=> v13(constB76)),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34808, 230])).
% 9.06/6.99 tff(34810,plain,
% 9.06/6.99 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB76)) <=> v6(constB76))),
% 9.06/6.99 inference(quant_inst,[status(thm)],[])).
% 9.06/6.99 tff(34811,plain,
% 9.06/6.99 ((~v21(constB76)) <=> v6(constB76)),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34810, 239])).
% 9.06/6.99 tff(34812,plain,
% 9.06/6.99 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB76) <=> (v20(constB76) | v21(constB76)))),
% 9.06/6.99 inference(quant_inst,[status(thm)],[])).
% 9.06/6.99 tff(34813,plain,
% 9.06/6.99 (v19(constB76) <=> (v20(constB76) | v21(constB76))),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34812, 248])).
% 9.06/6.99 tff(34814,plain,
% 9.06/6.99 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB76) <=> (~((~v19(constB76)) | (~v22(constB76)))))),
% 9.06/6.99 inference(quant_inst,[status(thm)],[])).
% 9.06/6.99 tff(34815,plain,
% 9.06/6.99 (v18(constB76) <=> (~((~v19(constB76)) | (~v22(constB76))))),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34814, 260])).
% 9.06/6.99 tff(34816,plain,
% 9.06/6.99 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB76)) <=> v18(constB76))),
% 9.06/6.99 inference(quant_inst,[status(thm)],[])).
% 9.06/6.99 tff(34817,plain,
% 9.06/6.99 ((~v4(constB76)) <=> v18(constB76)),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34816, 269])).
% 9.06/6.99 tff(34818,plain,
% 9.06/6.99 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB76)),
% 9.06/6.99 inference(quant_inst,[status(thm)],[])).
% 9.06/6.99 tff(34819,plain,
% 9.06/6.99 (v4(constB76)),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34818, 278])).
% 9.06/6.99 tff(34820,plain,
% 9.06/6.99 ((~((~v4(constB76)) <=> v18(constB76))) | (~v4(constB76)) | (~v18(constB76))),
% 9.06/6.99 inference(tautology,[status(thm)],[])).
% 9.06/6.99 tff(34821,plain,
% 9.06/6.99 (~v18(constB76)),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34820, 34819, 34817])).
% 9.06/6.99 tff(34822,plain,
% 9.06/6.99 ((~(v18(constB76) <=> (~((~v19(constB76)) | (~v22(constB76)))))) | v18(constB76) | ((~v19(constB76)) | (~v22(constB76)))),
% 9.06/6.99 inference(tautology,[status(thm)],[])).
% 9.06/6.99 tff(34823,plain,
% 9.06/6.99 ((~v19(constB76)) | (~v22(constB76))),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34822, 34821, 34815])).
% 9.06/6.99 tff(34824,plain,
% 9.06/6.99 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB76) <=> (v1(constB76) | v6(constB76)))),
% 9.06/6.99 inference(quant_inst,[status(thm)],[])).
% 9.06/6.99 tff(34825,plain,
% 9.06/6.99 (v22(constB76) <=> (v1(constB76) | v6(constB76))),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34824, 291])).
% 9.06/6.99 tff(34826,plain,
% 9.06/6.99 ((v1(constB76) | v6(constB76)) | (~v1(constB76))),
% 9.06/6.99 inference(tautology,[status(thm)],[])).
% 9.06/6.99 tff(34827,plain,
% 9.06/6.99 (v1(constB76) | v6(constB76)),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34826, 9406])).
% 9.06/6.99 tff(34828,plain,
% 9.06/6.99 ((~(v22(constB76) <=> (v1(constB76) | v6(constB76)))) | v22(constB76) | (~(v1(constB76) | v6(constB76)))),
% 9.06/6.99 inference(tautology,[status(thm)],[])).
% 9.06/6.99 tff(34829,plain,
% 9.06/6.99 ((~(v22(constB76) <=> (v1(constB76) | v6(constB76)))) | v22(constB76)),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34828, 34827])).
% 9.06/6.99 tff(34830,plain,
% 9.06/6.99 (v22(constB76)),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34829, 34825])).
% 9.06/6.99 tff(34831,plain,
% 9.06/6.99 ((~((~v19(constB76)) | (~v22(constB76)))) | (~v19(constB76)) | (~v22(constB76))),
% 9.06/6.99 inference(tautology,[status(thm)],[])).
% 9.06/6.99 tff(34832,plain,
% 9.06/6.99 ((~((~v19(constB76)) | (~v22(constB76)))) | (~v19(constB76))),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34831, 34830])).
% 9.06/6.99 tff(34833,plain,
% 9.06/6.99 (~v19(constB76)),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34832, 34823])).
% 9.06/6.99 tff(34834,plain,
% 9.06/6.99 ((~(v19(constB76) <=> (v20(constB76) | v21(constB76)))) | v19(constB76) | (~(v20(constB76) | v21(constB76)))),
% 9.06/6.99 inference(tautology,[status(thm)],[])).
% 9.06/6.99 tff(34835,plain,
% 9.06/6.99 (~(v20(constB76) | v21(constB76))),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34834, 34833, 34813])).
% 9.06/6.99 tff(34836,plain,
% 9.06/6.99 ((v20(constB76) | v21(constB76)) | (~v21(constB76))),
% 9.06/6.99 inference(tautology,[status(thm)],[])).
% 9.06/6.99 tff(34837,plain,
% 9.06/6.99 (~v21(constB76)),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34836, 34835])).
% 9.06/6.99 tff(34838,plain,
% 9.06/6.99 ((~((~v21(constB76)) <=> v6(constB76))) | v21(constB76) | v6(constB76)),
% 9.06/6.99 inference(tautology,[status(thm)],[])).
% 9.06/6.99 tff(34839,plain,
% 9.06/6.99 (v6(constB76)),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34838, 34837, 34811])).
% 9.06/6.99 tff(34840,plain,
% 9.06/6.99 ((~(v6(constB76) <=> v13(constB76))) | (~v6(constB76)) | v13(constB76)),
% 9.06/6.99 inference(tautology,[status(thm)],[])).
% 9.06/6.99 tff(34841,plain,
% 9.06/6.99 (v13(constB76)),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34840, 34839, 34809])).
% 9.06/6.99 tff(34842,plain,
% 9.06/6.99 ((~(v13(constB76) <=> v9(constB75))) | (~v13(constB76)) | v9(constB75)),
% 9.06/6.99 inference(tautology,[status(thm)],[])).
% 9.06/6.99 tff(34843,plain,
% 9.06/6.99 (v9(constB75)),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34842, 34841, 34807])).
% 9.06/6.99 tff(34844,plain,
% 9.06/6.99 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB75)) <=> v1(constB75))),
% 9.06/6.99 inference(quant_inst,[status(thm)],[])).
% 9.06/6.99 tff(34845,plain,
% 9.06/6.99 ((~v39(constB75)) <=> v1(constB75)),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34844, 129])).
% 9.06/6.99 tff(34846,plain,
% 9.06/6.99 ((~((~v39(constB75)) <=> v1(constB75))) | v39(constB75) | v1(constB75)),
% 9.06/6.99 inference(tautology,[status(thm)],[])).
% 9.06/6.99 tff(34847,plain,
% 9.06/6.99 ((~((~v39(constB75)) <=> v1(constB75))) | v39(constB75)),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34846, 745])).
% 9.06/6.99 tff(34848,plain,
% 9.06/6.99 (v39(constB75)),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34847, 34845])).
% 9.06/6.99 tff(34849,plain,
% 9.06/6.99 ((~((~v39(constB75)) | (~v9(constB75)))) | (~v39(constB75)) | (~v9(constB75))),
% 9.06/6.99 inference(tautology,[status(thm)],[])).
% 9.06/6.99 tff(34850,plain,
% 9.06/6.99 ((~((~v39(constB75)) | (~v9(constB75)))) | (~v9(constB75))),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34849, 34848])).
% 9.06/6.99 tff(34851,plain,
% 9.06/6.99 (~((~v39(constB75)) | (~v9(constB75)))),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34850, 34843])).
% 9.06/6.99 tff(34852,plain,
% 9.06/6.99 ((~(v197(constB75) <=> (~((~v39(constB75)) | (~v9(constB75)))))) | v197(constB75) | ((~v39(constB75)) | (~v9(constB75)))),
% 9.06/6.99 inference(tautology,[status(thm)],[])).
% 9.06/6.99 tff(34853,plain,
% 9.06/6.99 (v197(constB75)),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34852, 34851, 34803])).
% 9.06/6.99 tff(34854,plain,
% 9.06/6.99 ((v197(constB75) | v26(constB75)) | (~v197(constB75))),
% 9.06/6.99 inference(tautology,[status(thm)],[])).
% 9.06/6.99 tff(34855,plain,
% 9.06/6.99 (v197(constB75) | v26(constB75)),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34854, 34853])).
% 9.06/6.99 tff(34856,plain,
% 9.06/6.99 ((~(v196(constB75) <=> (v197(constB75) | v26(constB75)))) | v196(constB75) | (~(v197(constB75) | v26(constB75)))),
% 9.06/6.99 inference(tautology,[status(thm)],[])).
% 9.06/6.99 tff(34857,plain,
% 9.06/6.99 (v196(constB75)),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34856, 34855, 34801])).
% 9.06/6.99 tff(34858,plain,
% 9.06/6.99 ((~((~v195(constB75)) <=> v196(constB75))) | (~v195(constB75)) | (~v196(constB75))),
% 9.06/6.99 inference(tautology,[status(thm)],[])).
% 9.06/6.99 tff(34859,plain,
% 9.06/6.99 (~v195(constB75)),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34858, 34857, 34799])).
% 9.06/6.99 tff(34860,plain,
% 9.06/6.99 (((~v157(constB75)) | (~v195(constB75))) | v195(constB75)),
% 9.06/6.99 inference(tautology,[status(thm)],[])).
% 9.06/6.99 tff(34861,plain,
% 9.06/6.99 ((~v157(constB75)) | (~v195(constB75))),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34860, 34859])).
% 9.06/6.99 tff(34862,plain,
% 9.06/6.99 ((~(v194(constB75) <=> (~((~v157(constB75)) | (~v195(constB75)))))) | (~v194(constB75)) | (~((~v157(constB75)) | (~v195(constB75))))),
% 9.06/6.99 inference(tautology,[status(thm)],[])).
% 9.06/6.99 tff(34863,plain,
% 9.06/6.99 (~v194(constB75)),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34862, 34861, 34797])).
% 9.06/6.99 tff(34864,plain,
% 9.06/6.99 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB75) <=> (~((~v199(constB75)) | (~v200(constB75)))))),
% 9.06/6.99 inference(quant_inst,[status(thm)],[])).
% 9.06/6.99 tff(34865,plain,
% 9.06/6.99 (v198(constB75) <=> (~((~v199(constB75)) | (~v200(constB75))))),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34864, 96])).
% 9.06/6.99 tff(34866,plain,
% 9.06/6.99 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB75) <=> (~((~v197(constB75)) | (~v201(constB75)))))),
% 9.06/6.99 inference(quant_inst,[status(thm)],[])).
% 9.06/6.99 tff(34867,plain,
% 9.06/6.99 (v200(constB75) <=> (~((~v197(constB75)) | (~v201(constB75))))),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34866, 108])).
% 9.06/6.99 tff(34868,plain,
% 9.06/6.99 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB75) <=> (~((~v159(constB75)) | (~v161(constB75)))))),
% 9.06/6.99 inference(quant_inst,[status(thm)],[])).
% 9.06/6.99 tff(34869,plain,
% 9.06/6.99 (v201(constB75) <=> (~((~v159(constB75)) | (~v161(constB75))))),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34868, 348])).
% 9.06/6.99 tff(34870,plain,
% 9.06/6.99 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB75) <=> v163(constB75))),
% 9.06/6.99 inference(quant_inst,[status(thm)],[])).
% 9.06/6.99 tff(34871,plain,
% 9.06/6.99 (v161(constB75) <=> v163(constB75)),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34870, 357])).
% 9.06/6.99 tff(34872,plain,
% 9.06/6.99 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB75) <=> (v145(constB75) | v167(constB75)))),
% 9.06/6.99 inference(quant_inst,[status(thm)],[])).
% 9.06/6.99 tff(34873,plain,
% 9.06/6.99 (v166(constB75) <=> (v145(constB75) | v167(constB75))),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34872, 369])).
% 9.06/6.99 tff(34874,plain,
% 9.06/6.99 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB75) <=> (v142(constB75) | v168(constB75)))),
% 9.06/6.99 inference(quant_inst,[status(thm)],[])).
% 9.06/6.99 tff(34875,plain,
% 9.06/6.99 (v167(constB75) <=> (v142(constB75) | v168(constB75))),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34874, 381])).
% 9.06/6.99 tff(34876,plain,
% 9.06/6.99 ((v142(constB75) | v168(constB75)) | (~v142(constB75))),
% 9.06/6.99 inference(tautology,[status(thm)],[])).
% 9.06/6.99 tff(34877,plain,
% 9.06/6.99 (v142(constB75) | v168(constB75)),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34876, 30984])).
% 9.06/6.99 tff(34878,plain,
% 9.06/6.99 ((~(v167(constB75) <=> (v142(constB75) | v168(constB75)))) | v167(constB75) | (~(v142(constB75) | v168(constB75)))),
% 9.06/6.99 inference(tautology,[status(thm)],[])).
% 9.06/6.99 tff(34879,plain,
% 9.06/6.99 ((~(v167(constB75) <=> (v142(constB75) | v168(constB75)))) | v167(constB75)),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34878, 34877])).
% 9.06/6.99 tff(34880,plain,
% 9.06/6.99 (v167(constB75)),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34879, 34875])).
% 9.06/6.99 tff(34881,plain,
% 9.06/6.99 ((v145(constB75) | v167(constB75)) | (~v167(constB75))),
% 9.06/6.99 inference(tautology,[status(thm)],[])).
% 9.06/6.99 tff(34882,plain,
% 9.06/6.99 (v145(constB75) | v167(constB75)),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34881, 34880])).
% 9.06/6.99 tff(34883,plain,
% 9.06/6.99 ((~(v166(constB75) <=> (v145(constB75) | v167(constB75)))) | v166(constB75) | (~(v145(constB75) | v167(constB75)))),
% 9.06/6.99 inference(tautology,[status(thm)],[])).
% 9.06/6.99 tff(34884,plain,
% 9.06/6.99 (v166(constB75)),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34883, 34882, 34873])).
% 9.06/6.99 tff(34885,plain,
% 9.06/6.99 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB75)) | (v163(constB75) <=> v170(constB75)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB75)) | (v163(constB75) <=> v170(constB75)))),
% 9.06/6.99 inference(rewrite,[status(thm)],[])).
% 9.06/6.99 tff(34886,plain,
% 9.06/6.99 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB75)) | (v163(constB75) <=> v170(constB75)))),
% 9.06/6.99 inference(quant_inst,[status(thm)],[])).
% 9.06/6.99 tff(34887,plain,
% 9.06/6.99 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB75)) | (v163(constB75) <=> v170(constB75))),
% 9.06/6.99 inference(modus_ponens,[status(thm)],[34886, 34885])).
% 9.06/6.99 tff(34888,plain,
% 9.06/6.99 ((~v166(constB75)) | (v163(constB75) <=> v170(constB75))),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34887, 9851])).
% 9.06/6.99 tff(34889,plain,
% 9.06/6.99 (v163(constB75) <=> v170(constB75)),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34888, 34884])).
% 9.06/6.99 tff(34890,plain,
% 9.06/6.99 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB75) <=> (v142(constB75) | v150(constB75)))),
% 9.06/6.99 inference(quant_inst,[status(thm)],[])).
% 9.06/6.99 tff(34891,plain,
% 9.06/6.99 (v171(constB75) <=> (v142(constB75) | v150(constB75))),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34890, 9866])).
% 9.06/6.99 tff(34892,plain,
% 9.06/6.99 ((v142(constB75) | v150(constB75)) | (~v142(constB75))),
% 9.06/6.99 inference(tautology,[status(thm)],[])).
% 9.06/6.99 tff(34893,plain,
% 9.06/6.99 (v142(constB75) | v150(constB75)),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34892, 30984])).
% 9.06/6.99 tff(34894,plain,
% 9.06/6.99 ((~(v171(constB75) <=> (v142(constB75) | v150(constB75)))) | v171(constB75) | (~(v142(constB75) | v150(constB75)))),
% 9.06/6.99 inference(tautology,[status(thm)],[])).
% 9.06/6.99 tff(34895,plain,
% 9.06/6.99 ((~(v171(constB75) <=> (v142(constB75) | v150(constB75)))) | v171(constB75)),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34894, 34893])).
% 9.06/6.99 tff(34896,plain,
% 9.06/6.99 (v171(constB75)),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34895, 34891])).
% 9.06/6.99 tff(34897,plain,
% 9.06/6.99 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB75)) | (~v171(constB75)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB75)) | (~v171(constB75)))),
% 9.06/6.99 inference(rewrite,[status(thm)],[])).
% 9.06/6.99 tff(34898,plain,
% 9.06/6.99 (((~v171(constB75)) | (~v170(constB75))) <=> ((~v170(constB75)) | (~v171(constB75)))),
% 9.06/6.99 inference(rewrite,[status(thm)],[])).
% 9.06/6.99 tff(34899,plain,
% 9.06/6.99 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB75)) | (~v170(constB75)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB75)) | (~v171(constB75))))),
% 9.06/6.99 inference(monotonicity,[status(thm)],[34898])).
% 9.06/6.99 tff(34900,plain,
% 9.06/6.99 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB75)) | (~v170(constB75)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB75)) | (~v171(constB75)))),
% 9.06/6.99 inference(transitivity,[status(thm)],[34899, 34897])).
% 9.06/6.99 tff(34901,plain,
% 9.06/6.99 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB75)) | (~v170(constB75)))),
% 9.06/6.99 inference(quant_inst,[status(thm)],[])).
% 9.06/6.99 tff(34902,plain,
% 9.06/6.99 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB75)) | (~v171(constB75))),
% 9.06/6.99 inference(modus_ponens,[status(thm)],[34901, 34900])).
% 9.06/6.99 tff(34903,plain,
% 9.06/6.99 (~v170(constB75)),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34902, 9899, 34896])).
% 9.06/6.99 tff(34904,plain,
% 9.06/6.99 ((~(v163(constB75) <=> v170(constB75))) | (~v163(constB75)) | v170(constB75)),
% 9.06/6.99 inference(tautology,[status(thm)],[])).
% 9.06/6.99 tff(34905,plain,
% 9.06/6.99 (~v163(constB75)),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34904, 34903, 34889])).
% 9.06/6.99 tff(34906,plain,
% 9.06/6.99 ((~(v161(constB75) <=> v163(constB75))) | (~v161(constB75)) | v163(constB75)),
% 9.06/6.99 inference(tautology,[status(thm)],[])).
% 9.06/6.99 tff(34907,plain,
% 9.06/6.99 (~v161(constB75)),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34906, 34905, 34871])).
% 9.06/6.99 tff(34908,plain,
% 9.06/6.99 (((~v159(constB75)) | (~v161(constB75))) | v161(constB75)),
% 9.06/6.99 inference(tautology,[status(thm)],[])).
% 9.06/6.99 tff(34909,plain,
% 9.06/6.99 ((~v159(constB75)) | (~v161(constB75))),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34908, 34907])).
% 9.06/6.99 tff(34910,plain,
% 9.06/6.99 ((~(v201(constB75) <=> (~((~v159(constB75)) | (~v161(constB75)))))) | (~v201(constB75)) | (~((~v159(constB75)) | (~v161(constB75))))),
% 9.06/6.99 inference(tautology,[status(thm)],[])).
% 9.06/6.99 tff(34911,plain,
% 9.06/6.99 (~v201(constB75)),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34910, 34909, 34869])).
% 9.06/6.99 tff(34912,plain,
% 9.06/6.99 (((~v197(constB75)) | (~v201(constB75))) | v201(constB75)),
% 9.06/6.99 inference(tautology,[status(thm)],[])).
% 9.06/6.99 tff(34913,plain,
% 9.06/6.99 ((~v197(constB75)) | (~v201(constB75))),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34912, 34911])).
% 9.06/6.99 tff(34914,plain,
% 9.06/6.99 ((~(v200(constB75) <=> (~((~v197(constB75)) | (~v201(constB75)))))) | (~v200(constB75)) | (~((~v197(constB75)) | (~v201(constB75))))),
% 9.06/6.99 inference(tautology,[status(thm)],[])).
% 9.06/6.99 tff(34915,plain,
% 9.06/6.99 (~v200(constB75)),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34914, 34913, 34867])).
% 9.06/6.99 tff(34916,plain,
% 9.06/6.99 (((~v199(constB75)) | (~v200(constB75))) | v200(constB75)),
% 9.06/6.99 inference(tautology,[status(thm)],[])).
% 9.06/6.99 tff(34917,plain,
% 9.06/6.99 ((~v199(constB75)) | (~v200(constB75))),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34916, 34915])).
% 9.06/6.99 tff(34918,plain,
% 9.06/6.99 ((~(v198(constB75) <=> (~((~v199(constB75)) | (~v200(constB75)))))) | (~v198(constB75)) | (~((~v199(constB75)) | (~v200(constB75))))),
% 9.06/6.99 inference(tautology,[status(thm)],[])).
% 9.06/6.99 tff(34919,plain,
% 9.06/6.99 (~v198(constB75)),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34918, 34917, 34865])).
% 9.06/6.99 tff(34920,plain,
% 9.06/6.99 ((~(v194(constB75) | v198(constB75))) | v194(constB75) | v198(constB75)),
% 9.06/6.99 inference(tautology,[status(thm)],[])).
% 9.06/6.99 tff(34921,plain,
% 9.06/6.99 (~(v194(constB75) | v198(constB75))),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34920, 34919, 34863])).
% 9.06/6.99 tff(34922,plain,
% 9.06/6.99 ((~(v191(constB75) <=> (v194(constB75) | v198(constB75)))) | (~v191(constB75)) | (v194(constB75) | v198(constB75))),
% 9.06/6.99 inference(tautology,[status(thm)],[])).
% 9.06/6.99 tff(34923,plain,
% 9.06/6.99 (~v191(constB75)),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34922, 34921, 34790])).
% 9.06/6.99 tff(34924,plain,
% 9.06/6.99 ((~(v193(constB76) <=> v191(constB75))) | (~v193(constB76)) | v191(constB75)),
% 9.06/6.99 inference(tautology,[status(thm)],[])).
% 9.06/6.99 tff(34925,plain,
% 9.06/6.99 (~v193(constB76)),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34924, 34923, 34788])).
% 9.06/6.99 tff(34926,plain,
% 9.06/6.99 ((~(v157(constB76) <=> v193(constB76))) | (~v157(constB76)) | v193(constB76)),
% 9.06/6.99 inference(tautology,[status(thm)],[])).
% 9.06/6.99 tff(34927,plain,
% 9.06/6.99 (~v157(constB76)),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34926, 34925, 34784])).
% 9.06/6.99 tff(34928,plain,
% 9.06/6.99 (((~v157(constB76)) | (~v195(constB76))) | v157(constB76)),
% 9.06/6.99 inference(tautology,[status(thm)],[])).
% 9.06/6.99 tff(34929,plain,
% 9.06/6.99 ((~v157(constB76)) | (~v195(constB76))),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34928, 34927])).
% 9.06/6.99 tff(34930,plain,
% 9.06/6.99 ((~(v194(constB76) <=> (~((~v157(constB76)) | (~v195(constB76)))))) | (~v194(constB76)) | (~((~v157(constB76)) | (~v195(constB76))))),
% 9.06/6.99 inference(tautology,[status(thm)],[])).
% 9.06/6.99 tff(34931,plain,
% 9.06/6.99 (~v194(constB76)),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34930, 34929, 34782])).
% 9.06/6.99 tff(34932,plain,
% 9.06/6.99 ((~(v194(constB76) | v198(constB76))) | v194(constB76) | v198(constB76)),
% 9.06/6.99 inference(tautology,[status(thm)],[])).
% 9.06/6.99 tff(34933,plain,
% 9.06/6.99 (~(v194(constB76) | v198(constB76))),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34932, 34931, 34775])).
% 9.06/6.99 tff(34934,plain,
% 9.06/6.99 ((~(v191(constB76) <=> (v194(constB76) | v198(constB76)))) | (~v191(constB76)) | (v194(constB76) | v198(constB76))),
% 9.06/6.99 inference(tautology,[status(thm)],[])).
% 9.06/6.99 tff(34935,plain,
% 9.06/6.99 (~v191(constB76)),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34934, 34933, 34750])).
% 9.06/6.99 tff(34936,plain,
% 9.06/6.99 ((~(v193(constB77) <=> v191(constB76))) | (~v193(constB77)) | v191(constB76)),
% 9.06/6.99 inference(tautology,[status(thm)],[])).
% 9.06/6.99 tff(34937,plain,
% 9.06/6.99 (~v193(constB77)),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34936, 34935, 34748])).
% 9.06/6.99 tff(34938,plain,
% 9.06/6.99 ($false),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34937, 34744])).
% 9.06/6.99 tff(34939,plain,(~(constB77 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.06/6.99 tff(34940,assumption,(constB161 = VarCurr!0), introduced(assumption)).
% 9.06/6.99 tff(34941,plain,
% 9.06/6.99 (v193(constB161) <=> v193(VarCurr!0)),
% 9.06/6.99 inference(monotonicity,[status(thm)],[34940])).
% 9.06/6.99 tff(34942,plain,
% 9.06/6.99 (v193(VarCurr!0) <=> v193(constB161)),
% 9.06/6.99 inference(symmetry,[status(thm)],[34941])).
% 9.06/6.99 tff(34943,plain,
% 9.06/6.99 (v193(constB161)),
% 9.06/6.99 inference(modus_ponens,[status(thm)],[59, 34942])).
% 9.06/6.99 tff(34944,plain,
% 9.06/6.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB160, constB161)) | (v193(constB161) <=> v191(constB160)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB160, constB161)) | (v193(constB161) <=> v191(constB160)))),
% 9.06/6.99 inference(rewrite,[status(thm)],[])).
% 9.06/6.99 tff(34945,plain,
% 9.06/6.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB160, constB161)) | (v193(constB161) <=> v191(constB160)))),
% 9.06/6.99 inference(quant_inst,[status(thm)],[])).
% 9.06/6.99 tff(34946,plain,
% 9.06/6.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB160, constB161)) | (v193(constB161) <=> v191(constB160))),
% 9.06/6.99 inference(modus_ponens,[status(thm)],[34945, 34944])).
% 9.06/6.99 tff(34947,plain,
% 9.06/6.99 (v193(constB161) <=> v191(constB160)),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34946, 16093, 70])).
% 9.06/6.99 tff(34948,plain,
% 9.06/6.99 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB160) <=> (v194(constB160) | v198(constB160)))),
% 9.06/6.99 inference(quant_inst,[status(thm)],[])).
% 9.06/6.99 tff(34949,plain,
% 9.06/6.99 (v191(constB160) <=> (v194(constB160) | v198(constB160))),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34948, 84])).
% 9.06/6.99 tff(34950,plain,
% 9.06/6.99 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB160) <=> (~((~v199(constB160)) | (~v200(constB160)))))),
% 9.06/6.99 inference(quant_inst,[status(thm)],[])).
% 9.06/6.99 tff(34951,plain,
% 9.06/6.99 (v198(constB160) <=> (~((~v199(constB160)) | (~v200(constB160))))),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34950, 96])).
% 9.06/6.99 tff(34952,plain,
% 9.06/6.99 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB160) <=> (~((~v197(constB160)) | (~v201(constB160)))))),
% 9.06/6.99 inference(quant_inst,[status(thm)],[])).
% 9.06/6.99 tff(34953,plain,
% 9.06/6.99 (v200(constB160) <=> (~((~v197(constB160)) | (~v201(constB160))))),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34952, 108])).
% 9.06/6.99 tff(34954,plain,
% 9.06/6.99 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB160) <=> (~((~v39(constB160)) | (~v9(constB160)))))),
% 9.06/6.99 inference(quant_inst,[status(thm)],[])).
% 9.06/6.99 tff(34955,plain,
% 9.06/6.99 (v197(constB160) <=> (~((~v39(constB160)) | (~v9(constB160))))),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34954, 120])).
% 9.06/6.99 tff(34956,plain,
% 9.06/6.99 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB160)) <=> v1(constB160))),
% 9.06/6.99 inference(quant_inst,[status(thm)],[])).
% 9.06/6.99 tff(34957,plain,
% 9.06/6.99 ((~v39(constB160)) <=> v1(constB160)),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34956, 129])).
% 9.06/6.99 tff(34958,plain,
% 9.06/6.99 ((~((~v39(constB160)) <=> v1(constB160))) | (~v39(constB160)) | (~v1(constB160))),
% 9.06/6.99 inference(tautology,[status(thm)],[])).
% 9.06/6.99 tff(34959,plain,
% 9.06/6.99 ((~((~v39(constB160)) <=> v1(constB160))) | (~v39(constB160))),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34958, 21143])).
% 9.06/6.99 tff(34960,plain,
% 9.06/6.99 (~v39(constB160)),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34959, 34957])).
% 9.06/6.99 tff(34961,plain,
% 9.06/6.99 (((~v39(constB160)) | (~v9(constB160))) | v39(constB160)),
% 9.06/6.99 inference(tautology,[status(thm)],[])).
% 9.06/6.99 tff(34962,plain,
% 9.06/6.99 ((~v39(constB160)) | (~v9(constB160))),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34961, 34960])).
% 9.06/6.99 tff(34963,plain,
% 9.06/6.99 ((~(v197(constB160) <=> (~((~v39(constB160)) | (~v9(constB160)))))) | (~v197(constB160)) | (~((~v39(constB160)) | (~v9(constB160))))),
% 9.06/6.99 inference(tautology,[status(thm)],[])).
% 9.06/6.99 tff(34964,plain,
% 9.06/6.99 ((~(v197(constB160) <=> (~((~v39(constB160)) | (~v9(constB160)))))) | (~v197(constB160))),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34963, 34962])).
% 9.06/6.99 tff(34965,plain,
% 9.06/6.99 (~v197(constB160)),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34964, 34955])).
% 9.06/6.99 tff(34966,plain,
% 9.06/6.99 (((~v197(constB160)) | (~v201(constB160))) | v197(constB160)),
% 9.06/6.99 inference(tautology,[status(thm)],[])).
% 9.06/6.99 tff(34967,plain,
% 9.06/6.99 ((~v197(constB160)) | (~v201(constB160))),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34966, 34965])).
% 9.06/6.99 tff(34968,plain,
% 9.06/6.99 ((~(v200(constB160) <=> (~((~v197(constB160)) | (~v201(constB160)))))) | (~v200(constB160)) | (~((~v197(constB160)) | (~v201(constB160))))),
% 9.06/6.99 inference(tautology,[status(thm)],[])).
% 9.06/6.99 tff(34969,plain,
% 9.06/6.99 ((~(v200(constB160) <=> (~((~v197(constB160)) | (~v201(constB160)))))) | (~v200(constB160))),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34968, 34967])).
% 9.06/6.99 tff(34970,plain,
% 9.06/6.99 (~v200(constB160)),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34969, 34953])).
% 9.06/6.99 tff(34971,plain,
% 9.06/6.99 (((~v199(constB160)) | (~v200(constB160))) | v200(constB160)),
% 9.06/6.99 inference(tautology,[status(thm)],[])).
% 9.06/6.99 tff(34972,plain,
% 9.06/6.99 ((~v199(constB160)) | (~v200(constB160))),
% 9.06/6.99 inference(unit_resolution,[status(thm)],[34971, 34970])).
% 9.06/6.99 tff(34973,plain,
% 9.06/6.99 ((~(v198(constB160) <=> (~((~v199(constB160)) | (~v200(constB160)))))) | (~v198(constB160)) | (~((~v199(constB160)) | (~v200(constB160))))),
% 9.06/6.99 inference(tautology,[status(thm)],[])).
% 9.06/7.00 tff(34974,plain,
% 9.06/7.00 (~v198(constB160)),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[34973, 34972, 34951])).
% 9.06/7.00 tff(34975,plain,
% 9.06/7.00 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB160) <=> (~((~v157(constB160)) | (~v195(constB160)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB160) <=> (~((~v157(constB160)) | (~v195(constB160))))))),
% 9.06/7.00 inference(rewrite,[status(thm)],[])).
% 9.06/7.00 tff(34976,plain,
% 9.06/7.00 ((v194(constB160) <=> (~((~v195(constB160)) | (~v157(constB160))))) <=> (v194(constB160) <=> (~((~v157(constB160)) | (~v195(constB160)))))),
% 9.06/7.00 inference(rewrite,[status(thm)],[])).
% 9.06/7.00 tff(34977,plain,
% 9.06/7.00 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB160) <=> (~((~v195(constB160)) | (~v157(constB160)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB160) <=> (~((~v157(constB160)) | (~v195(constB160))))))),
% 9.06/7.00 inference(monotonicity,[status(thm)],[34976])).
% 9.06/7.00 tff(34978,plain,
% 9.06/7.00 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB160) <=> (~((~v195(constB160)) | (~v157(constB160)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB160) <=> (~((~v157(constB160)) | (~v195(constB160))))))),
% 9.06/7.00 inference(transitivity,[status(thm)],[34977, 34975])).
% 9.06/7.00 tff(34979,plain,
% 9.06/7.00 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB160) <=> (~((~v195(constB160)) | (~v157(constB160)))))),
% 9.06/7.00 inference(quant_inst,[status(thm)],[])).
% 9.06/7.00 tff(34980,plain,
% 9.06/7.00 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB160) <=> (~((~v157(constB160)) | (~v195(constB160)))))),
% 9.06/7.00 inference(modus_ponens,[status(thm)],[34979, 34978])).
% 9.06/7.00 tff(34981,plain,
% 9.06/7.00 (v194(constB160) <=> (~((~v157(constB160)) | (~v195(constB160))))),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[34980, 161])).
% 9.06/7.00 tff(34982,plain,
% 9.06/7.00 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB160) <=> v193(constB160))),
% 9.06/7.00 inference(quant_inst,[status(thm)],[])).
% 9.06/7.00 tff(34983,plain,
% 9.06/7.00 (v157(constB160) <=> v193(constB160)),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[34982, 13])).
% 9.06/7.00 tff(34984,plain,
% 9.06/7.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB159, constB160)) | (v193(constB160) <=> v191(constB159)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB159, constB160)) | (v193(constB160) <=> v191(constB159)))),
% 9.06/7.00 inference(rewrite,[status(thm)],[])).
% 9.06/7.00 tff(34985,plain,
% 9.06/7.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB159, constB160)) | (v193(constB160) <=> v191(constB159)))),
% 9.06/7.00 inference(quant_inst,[status(thm)],[])).
% 9.06/7.00 tff(34986,plain,
% 9.06/7.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB159, constB160)) | (v193(constB160) <=> v191(constB159))),
% 9.06/7.00 inference(modus_ponens,[status(thm)],[34985, 34984])).
% 9.06/7.00 tff(34987,plain,
% 9.06/7.00 (v193(constB160) <=> v191(constB159)),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[34986, 16129, 70])).
% 9.06/7.00 tff(34988,plain,
% 9.06/7.00 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB159) <=> (v194(constB159) | v198(constB159)))),
% 9.06/7.00 inference(quant_inst,[status(thm)],[])).
% 9.06/7.00 tff(34989,plain,
% 9.06/7.00 (v191(constB159) <=> (v194(constB159) | v198(constB159))),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[34988, 84])).
% 9.06/7.00 tff(34990,plain,
% 9.06/7.00 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB159) <=> (~((~v157(constB159)) | (~v195(constB159)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB159) <=> (~((~v157(constB159)) | (~v195(constB159))))))),
% 9.06/7.00 inference(rewrite,[status(thm)],[])).
% 9.06/7.00 tff(34991,plain,
% 9.06/7.00 ((v194(constB159) <=> (~((~v195(constB159)) | (~v157(constB159))))) <=> (v194(constB159) <=> (~((~v157(constB159)) | (~v195(constB159)))))),
% 9.06/7.00 inference(rewrite,[status(thm)],[])).
% 9.06/7.00 tff(34992,plain,
% 9.06/7.00 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB159) <=> (~((~v195(constB159)) | (~v157(constB159)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB159) <=> (~((~v157(constB159)) | (~v195(constB159))))))),
% 9.06/7.00 inference(monotonicity,[status(thm)],[34991])).
% 9.06/7.00 tff(34993,plain,
% 9.06/7.00 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB159) <=> (~((~v195(constB159)) | (~v157(constB159)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB159) <=> (~((~v157(constB159)) | (~v195(constB159))))))),
% 9.06/7.00 inference(transitivity,[status(thm)],[34992, 34990])).
% 9.06/7.00 tff(34994,plain,
% 9.06/7.00 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB159) <=> (~((~v195(constB159)) | (~v157(constB159)))))),
% 9.06/7.00 inference(quant_inst,[status(thm)],[])).
% 9.06/7.00 tff(34995,plain,
% 9.06/7.00 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB159) <=> (~((~v157(constB159)) | (~v195(constB159)))))),
% 9.06/7.00 inference(modus_ponens,[status(thm)],[34994, 34993])).
% 9.06/7.00 tff(34996,plain,
% 9.06/7.00 (v194(constB159) <=> (~((~v157(constB159)) | (~v195(constB159))))),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[34995, 161])).
% 9.06/7.00 tff(34997,plain,
% 9.06/7.00 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB159)) <=> v196(constB159))),
% 9.06/7.00 inference(quant_inst,[status(thm)],[])).
% 9.06/7.00 tff(34998,plain,
% 9.06/7.00 ((~v195(constB159)) <=> v196(constB159)),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[34997, 193])).
% 9.06/7.00 tff(34999,plain,
% 9.06/7.00 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB159) <=> (v197(constB159) | v26(constB159)))),
% 9.06/7.00 inference(quant_inst,[status(thm)],[])).
% 9.06/7.00 tff(35000,plain,
% 9.06/7.00 (v196(constB159) <=> (v197(constB159) | v26(constB159))),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[34999, 202])).
% 9.06/7.00 tff(35001,plain,
% 9.06/7.00 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB159) <=> (~((~v39(constB159)) | (~v9(constB159)))))),
% 9.06/7.00 inference(quant_inst,[status(thm)],[])).
% 9.06/7.00 tff(35002,plain,
% 9.06/7.00 (v197(constB159) <=> (~((~v39(constB159)) | (~v9(constB159))))),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[35001, 120])).
% 9.06/7.00 tff(35003,plain,
% 9.06/7.00 (((~![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)))),
% 9.06/7.00 inference(rewrite,[status(thm)],[])).
% 9.06/7.00 tff(35004,plain,
% 9.06/7.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB159, constB160)) | (v13(constB160) <=> v9(constB159)))),
% 9.06/7.00 inference(quant_inst,[status(thm)],[])).
% 9.06/7.00 tff(35005,plain,
% 9.06/7.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB159, constB160)) | (v13(constB160) <=> v9(constB159))),
% 9.06/7.00 inference(modus_ponens,[status(thm)],[35004, 35003])).
% 9.06/7.00 tff(35006,plain,
% 9.06/7.00 (v13(constB160) <=> v9(constB159)),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[35005, 16129, 216])).
% 9.06/7.00 tff(35007,plain,
% 9.06/7.00 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB160) <=> v13(constB160))),
% 9.06/7.00 inference(quant_inst,[status(thm)],[])).
% 9.06/7.00 tff(35008,plain,
% 9.06/7.00 (v6(constB160) <=> v13(constB160)),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[35007, 230])).
% 9.06/7.00 tff(35009,plain,
% 9.06/7.00 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB160)) <=> v6(constB160))),
% 9.06/7.00 inference(quant_inst,[status(thm)],[])).
% 9.06/7.00 tff(35010,plain,
% 9.06/7.00 ((~v21(constB160)) <=> v6(constB160)),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[35009, 239])).
% 9.06/7.00 tff(35011,plain,
% 9.06/7.00 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB160) <=> (v20(constB160) | v21(constB160)))),
% 9.06/7.00 inference(quant_inst,[status(thm)],[])).
% 9.06/7.00 tff(35012,plain,
% 9.06/7.00 (v19(constB160) <=> (v20(constB160) | v21(constB160))),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[35011, 248])).
% 9.06/7.00 tff(35013,plain,
% 9.06/7.00 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB160) <=> (~((~v19(constB160)) | (~v22(constB160)))))),
% 9.06/7.00 inference(quant_inst,[status(thm)],[])).
% 9.06/7.00 tff(35014,plain,
% 9.06/7.00 (v18(constB160) <=> (~((~v19(constB160)) | (~v22(constB160))))),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[35013, 260])).
% 9.06/7.00 tff(35015,plain,
% 9.06/7.00 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB160)) <=> v18(constB160))),
% 9.06/7.00 inference(quant_inst,[status(thm)],[])).
% 9.06/7.00 tff(35016,plain,
% 9.06/7.00 ((~v4(constB160)) <=> v18(constB160)),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[35015, 269])).
% 9.06/7.00 tff(35017,plain,
% 9.06/7.00 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB160)),
% 9.06/7.00 inference(quant_inst,[status(thm)],[])).
% 9.06/7.00 tff(35018,plain,
% 9.06/7.00 (v4(constB160)),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[35017, 278])).
% 9.06/7.00 tff(35019,plain,
% 9.06/7.00 ((~((~v4(constB160)) <=> v18(constB160))) | (~v4(constB160)) | (~v18(constB160))),
% 9.06/7.00 inference(tautology,[status(thm)],[])).
% 9.06/7.00 tff(35020,plain,
% 9.06/7.00 (~v18(constB160)),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[35019, 35018, 35016])).
% 9.06/7.00 tff(35021,plain,
% 9.06/7.00 ((~(v18(constB160) <=> (~((~v19(constB160)) | (~v22(constB160)))))) | v18(constB160) | ((~v19(constB160)) | (~v22(constB160)))),
% 9.06/7.00 inference(tautology,[status(thm)],[])).
% 9.06/7.00 tff(35022,plain,
% 9.06/7.00 ((~v19(constB160)) | (~v22(constB160))),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[35021, 35020, 35014])).
% 9.06/7.00 tff(35023,plain,
% 9.06/7.00 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB160) <=> (v1(constB160) | v6(constB160)))),
% 9.06/7.00 inference(quant_inst,[status(thm)],[])).
% 9.06/7.00 tff(35024,plain,
% 9.06/7.00 (v22(constB160) <=> (v1(constB160) | v6(constB160))),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[35023, 291])).
% 9.06/7.00 tff(35025,plain,
% 9.06/7.00 ((v1(constB160) | v6(constB160)) | (~v1(constB160))),
% 9.06/7.00 inference(tautology,[status(thm)],[])).
% 9.06/7.00 tff(35026,plain,
% 9.06/7.00 (v1(constB160) | v6(constB160)),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[35025, 21143])).
% 9.06/7.00 tff(35027,plain,
% 9.06/7.00 ((~(v22(constB160) <=> (v1(constB160) | v6(constB160)))) | v22(constB160) | (~(v1(constB160) | v6(constB160)))),
% 9.06/7.00 inference(tautology,[status(thm)],[])).
% 9.06/7.00 tff(35028,plain,
% 9.06/7.00 ((~(v22(constB160) <=> (v1(constB160) | v6(constB160)))) | v22(constB160)),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[35027, 35026])).
% 9.06/7.00 tff(35029,plain,
% 9.06/7.00 (v22(constB160)),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[35028, 35024])).
% 9.06/7.00 tff(35030,plain,
% 9.06/7.00 ((~((~v19(constB160)) | (~v22(constB160)))) | (~v19(constB160)) | (~v22(constB160))),
% 9.06/7.00 inference(tautology,[status(thm)],[])).
% 9.06/7.00 tff(35031,plain,
% 9.06/7.00 ((~((~v19(constB160)) | (~v22(constB160)))) | (~v19(constB160))),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[35030, 35029])).
% 9.06/7.00 tff(35032,plain,
% 9.06/7.00 (~v19(constB160)),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[35031, 35022])).
% 9.06/7.00 tff(35033,plain,
% 9.06/7.00 ((~(v19(constB160) <=> (v20(constB160) | v21(constB160)))) | v19(constB160) | (~(v20(constB160) | v21(constB160)))),
% 9.06/7.00 inference(tautology,[status(thm)],[])).
% 9.06/7.00 tff(35034,plain,
% 9.06/7.00 (~(v20(constB160) | v21(constB160))),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[35033, 35032, 35012])).
% 9.06/7.00 tff(35035,plain,
% 9.06/7.00 ((v20(constB160) | v21(constB160)) | (~v21(constB160))),
% 9.06/7.00 inference(tautology,[status(thm)],[])).
% 9.06/7.00 tff(35036,plain,
% 9.06/7.00 (~v21(constB160)),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[35035, 35034])).
% 9.06/7.00 tff(35037,plain,
% 9.06/7.00 ((~((~v21(constB160)) <=> v6(constB160))) | v21(constB160) | v6(constB160)),
% 9.06/7.00 inference(tautology,[status(thm)],[])).
% 9.06/7.00 tff(35038,plain,
% 9.06/7.00 (v6(constB160)),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[35037, 35036, 35010])).
% 9.06/7.00 tff(35039,plain,
% 9.06/7.00 ((~(v6(constB160) <=> v13(constB160))) | (~v6(constB160)) | v13(constB160)),
% 9.06/7.00 inference(tautology,[status(thm)],[])).
% 9.06/7.00 tff(35040,plain,
% 9.06/7.00 (v13(constB160)),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[35039, 35038, 35008])).
% 9.06/7.00 tff(35041,plain,
% 9.06/7.00 ((~(v13(constB160) <=> v9(constB159))) | (~v13(constB160)) | v9(constB159)),
% 9.06/7.00 inference(tautology,[status(thm)],[])).
% 9.06/7.00 tff(35042,plain,
% 9.06/7.00 (v9(constB159)),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[35041, 35040, 35006])).
% 9.06/7.00 tff(35043,plain,
% 9.06/7.00 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB159)) <=> v1(constB159))),
% 9.06/7.00 inference(quant_inst,[status(thm)],[])).
% 9.06/7.00 tff(35044,plain,
% 9.06/7.00 ((~v39(constB159)) <=> v1(constB159)),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[35043, 129])).
% 9.06/7.00 tff(35045,plain,
% 9.06/7.00 ((~((~v39(constB159)) <=> v1(constB159))) | v39(constB159) | v1(constB159)),
% 9.06/7.00 inference(tautology,[status(thm)],[])).
% 9.06/7.00 tff(35046,plain,
% 9.06/7.00 ((~((~v39(constB159)) <=> v1(constB159))) | v39(constB159)),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[35045, 16173])).
% 9.06/7.00 tff(35047,plain,
% 9.06/7.00 (v39(constB159)),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[35046, 35044])).
% 9.06/7.00 tff(35048,plain,
% 9.06/7.00 ((~((~v39(constB159)) | (~v9(constB159)))) | (~v39(constB159)) | (~v9(constB159))),
% 9.06/7.00 inference(tautology,[status(thm)],[])).
% 9.06/7.00 tff(35049,plain,
% 9.06/7.00 ((~((~v39(constB159)) | (~v9(constB159)))) | (~v9(constB159))),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[35048, 35047])).
% 9.06/7.00 tff(35050,plain,
% 9.06/7.00 (~((~v39(constB159)) | (~v9(constB159)))),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[35049, 35042])).
% 9.06/7.00 tff(35051,plain,
% 9.06/7.00 ((~(v197(constB159) <=> (~((~v39(constB159)) | (~v9(constB159)))))) | v197(constB159) | ((~v39(constB159)) | (~v9(constB159)))),
% 9.06/7.00 inference(tautology,[status(thm)],[])).
% 9.06/7.00 tff(35052,plain,
% 9.06/7.00 (v197(constB159)),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[35051, 35050, 35002])).
% 9.06/7.00 tff(35053,plain,
% 9.06/7.00 ((v197(constB159) | v26(constB159)) | (~v197(constB159))),
% 9.06/7.00 inference(tautology,[status(thm)],[])).
% 9.06/7.00 tff(35054,plain,
% 9.06/7.00 (v197(constB159) | v26(constB159)),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[35053, 35052])).
% 9.06/7.00 tff(35055,plain,
% 9.06/7.00 ((~(v196(constB159) <=> (v197(constB159) | v26(constB159)))) | v196(constB159) | (~(v197(constB159) | v26(constB159)))),
% 9.06/7.00 inference(tautology,[status(thm)],[])).
% 9.06/7.00 tff(35056,plain,
% 9.06/7.00 (v196(constB159)),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[35055, 35054, 35000])).
% 9.06/7.00 tff(35057,plain,
% 9.06/7.00 ((~((~v195(constB159)) <=> v196(constB159))) | (~v195(constB159)) | (~v196(constB159))),
% 9.06/7.00 inference(tautology,[status(thm)],[])).
% 9.06/7.00 tff(35058,plain,
% 9.06/7.00 (~v195(constB159)),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[35057, 35056, 34998])).
% 9.06/7.00 tff(35059,plain,
% 9.06/7.00 (((~v157(constB159)) | (~v195(constB159))) | v195(constB159)),
% 9.06/7.00 inference(tautology,[status(thm)],[])).
% 9.06/7.00 tff(35060,plain,
% 9.06/7.00 ((~v157(constB159)) | (~v195(constB159))),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[35059, 35058])).
% 9.06/7.00 tff(35061,plain,
% 9.06/7.00 ((~(v194(constB159) <=> (~((~v157(constB159)) | (~v195(constB159)))))) | (~v194(constB159)) | (~((~v157(constB159)) | (~v195(constB159))))),
% 9.06/7.00 inference(tautology,[status(thm)],[])).
% 9.06/7.00 tff(35062,plain,
% 9.06/7.00 (~v194(constB159)),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[35061, 35060, 34996])).
% 9.06/7.00 tff(35063,plain,
% 9.06/7.00 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB159) <=> (~((~v199(constB159)) | (~v200(constB159)))))),
% 9.06/7.00 inference(quant_inst,[status(thm)],[])).
% 9.06/7.00 tff(35064,plain,
% 9.06/7.00 (v198(constB159) <=> (~((~v199(constB159)) | (~v200(constB159))))),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[35063, 96])).
% 9.06/7.00 tff(35065,plain,
% 9.06/7.00 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB159) <=> (~((~v197(constB159)) | (~v201(constB159)))))),
% 9.06/7.00 inference(quant_inst,[status(thm)],[])).
% 9.06/7.00 tff(35066,plain,
% 9.06/7.00 (v200(constB159) <=> (~((~v197(constB159)) | (~v201(constB159))))),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[35065, 108])).
% 9.06/7.00 tff(35067,plain,
% 9.06/7.00 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB159) <=> (~((~v159(constB159)) | (~v161(constB159)))))),
% 9.06/7.00 inference(quant_inst,[status(thm)],[])).
% 9.06/7.00 tff(35068,plain,
% 9.06/7.00 (v201(constB159) <=> (~((~v159(constB159)) | (~v161(constB159))))),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[35067, 348])).
% 9.06/7.00 tff(35069,plain,
% 9.06/7.00 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB159) <=> v163(constB159))),
% 9.06/7.00 inference(quant_inst,[status(thm)],[])).
% 9.06/7.00 tff(35070,plain,
% 9.06/7.00 (v161(constB159) <=> v163(constB159)),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[35069, 357])).
% 9.06/7.00 tff(35071,plain,
% 9.06/7.00 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB159) <=> (v145(constB159) | v167(constB159)))),
% 9.06/7.00 inference(quant_inst,[status(thm)],[])).
% 9.06/7.00 tff(35072,plain,
% 9.06/7.00 (v166(constB159) <=> (v145(constB159) | v167(constB159))),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[35071, 369])).
% 9.06/7.00 tff(35073,plain,
% 9.06/7.00 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB159) <=> (v142(constB159) | v168(constB159)))),
% 9.06/7.00 inference(quant_inst,[status(thm)],[])).
% 9.06/7.00 tff(35074,plain,
% 9.06/7.00 (v167(constB159) <=> (v142(constB159) | v168(constB159))),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[35073, 381])).
% 9.06/7.00 tff(35075,plain,
% 9.06/7.00 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB159) <=> (v143(constB159) | v144(constB159)))),
% 9.06/7.00 inference(quant_inst,[status(thm)],[])).
% 9.06/7.00 tff(35076,plain,
% 9.06/7.00 (v142(constB159) <=> (v143(constB159) | v144(constB159))),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[35075, 10332])).
% 9.06/7.00 tff(35077,plain,
% 9.06/7.00 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB159) <=> (~((~v88(constB159, bitIndex1)) | v88(constB159, bitIndex2) | v88(constB159, bitIndex0))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB159) <=> (~((~v88(constB159, bitIndex1)) | v88(constB159, bitIndex2) | v88(constB159, bitIndex0)))))),
% 9.06/7.00 inference(rewrite,[status(thm)],[])).
% 9.06/7.00 tff(35078,plain,
% 9.06/7.00 ((v143(constB159) <=> (~(v88(constB159, bitIndex0) | v88(constB159, bitIndex2) | (~v88(constB159, bitIndex1))))) <=> (v143(constB159) <=> (~((~v88(constB159, bitIndex1)) | v88(constB159, bitIndex2) | v88(constB159, bitIndex0))))),
% 9.06/7.00 inference(rewrite,[status(thm)],[])).
% 9.06/7.00 tff(35079,plain,
% 9.06/7.00 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB159) <=> (~(v88(constB159, bitIndex0) | v88(constB159, bitIndex2) | (~v88(constB159, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB159) <=> (~((~v88(constB159, bitIndex1)) | v88(constB159, bitIndex2) | v88(constB159, bitIndex0)))))),
% 9.06/7.00 inference(monotonicity,[status(thm)],[35078])).
% 9.06/7.00 tff(35080,plain,
% 9.06/7.00 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB159) <=> (~(v88(constB159, bitIndex0) | v88(constB159, bitIndex2) | (~v88(constB159, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB159) <=> (~((~v88(constB159, bitIndex1)) | v88(constB159, bitIndex2) | v88(constB159, bitIndex0)))))),
% 9.06/7.00 inference(transitivity,[status(thm)],[35079, 35077])).
% 9.06/7.00 tff(35081,plain,
% 9.06/7.00 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB159) <=> (~(v88(constB159, bitIndex0) | v88(constB159, bitIndex2) | (~v88(constB159, bitIndex1)))))),
% 9.06/7.00 inference(quant_inst,[status(thm)],[])).
% 9.06/7.00 tff(35082,plain,
% 9.06/7.00 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB159) <=> (~((~v88(constB159, bitIndex1)) | v88(constB159, bitIndex2) | v88(constB159, bitIndex0))))),
% 9.06/7.00 inference(modus_ponens,[status(thm)],[35081, 35080])).
% 9.06/7.00 tff(35083,plain,
% 9.06/7.00 (v143(constB159) <=> (~((~v88(constB159, bitIndex1)) | v88(constB159, bitIndex2) | v88(constB159, bitIndex0)))),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[35082, 14770])).
% 9.06/7.00 tff(35084,plain,
% 9.06/7.00 ((~![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))) | (~(((~v88(constB159, bitIndex1)) <=> v90(constB159, bitIndex1)) | ((~v88(constB159, bitIndex2)) <=> v90(constB159, bitIndex2)) | ((~v88(constB159, bitIndex0)) <=> v90(constB159, bitIndex0))))),
% 9.06/7.00 inference(quant_inst,[status(thm)],[])).
% 9.06/7.00 tff(35085,plain,
% 9.06/7.00 (~(((~v88(constB159, bitIndex1)) <=> v90(constB159, bitIndex1)) | ((~v88(constB159, bitIndex2)) <=> v90(constB159, bitIndex2)) | ((~v88(constB159, bitIndex0)) <=> v90(constB159, bitIndex0)))),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[35084, 428])).
% 9.06/7.00 tff(35086,plain,
% 9.06/7.00 ((((~v88(constB159, bitIndex1)) <=> v90(constB159, bitIndex1)) | ((~v88(constB159, bitIndex2)) <=> v90(constB159, bitIndex2)) | ((~v88(constB159, bitIndex0)) <=> v90(constB159, bitIndex0))) | (~((~v88(constB159, bitIndex2)) <=> v90(constB159, bitIndex2)))),
% 9.06/7.00 inference(tautology,[status(thm)],[])).
% 9.06/7.00 tff(35087,plain,
% 9.06/7.00 (~((~v88(constB159, bitIndex2)) <=> v90(constB159, bitIndex2))),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[35086, 35085])).
% 9.06/7.00 tff(35088,plain,
% 9.06/7.00 (((~v88(constB159, bitIndex2)) <=> v90(constB159, bitIndex2)) | (~v88(constB159, bitIndex2)) | v90(constB159, bitIndex2)),
% 9.06/7.00 inference(tautology,[status(thm)],[])).
% 9.06/7.00 tff(35089,plain,
% 9.06/7.00 (~v88(constB159, bitIndex2)),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[35088, 21065, 35087])).
% 9.06/7.00 tff(35090,plain,
% 9.06/7.00 ((((~v88(constB159, bitIndex1)) <=> v90(constB159, bitIndex1)) | ((~v88(constB159, bitIndex2)) <=> v90(constB159, bitIndex2)) | ((~v88(constB159, bitIndex0)) <=> v90(constB159, bitIndex0))) | (~((~v88(constB159, bitIndex0)) <=> v90(constB159, bitIndex0)))),
% 9.06/7.00 inference(tautology,[status(thm)],[])).
% 9.06/7.00 tff(35091,plain,
% 9.06/7.00 (~((~v88(constB159, bitIndex0)) <=> v90(constB159, bitIndex0))),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[35090, 35085])).
% 9.06/7.00 tff(35092,plain,
% 9.06/7.00 (((~v88(constB159, bitIndex0)) <=> v90(constB159, bitIndex0)) | (~v88(constB159, bitIndex0)) | v90(constB159, bitIndex0)),
% 9.06/7.00 inference(tautology,[status(thm)],[])).
% 9.06/7.00 tff(35093,plain,
% 9.06/7.00 (~v88(constB159, bitIndex0)),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[35092, 21083, 35091])).
% 9.06/7.00 tff(35094,plain,
% 9.06/7.00 ((((~v88(constB159, bitIndex1)) <=> v90(constB159, bitIndex1)) | ((~v88(constB159, bitIndex2)) <=> v90(constB159, bitIndex2)) | ((~v88(constB159, bitIndex0)) <=> v90(constB159, bitIndex0))) | (~((~v88(constB159, bitIndex1)) <=> v90(constB159, bitIndex1)))),
% 9.06/7.00 inference(tautology,[status(thm)],[])).
% 9.06/7.00 tff(35095,plain,
% 9.06/7.00 (~((~v88(constB159, bitIndex1)) <=> v90(constB159, bitIndex1))),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[35094, 35085])).
% 9.06/7.00 tff(35096,plain,
% 9.06/7.00 (((~v88(constB159, bitIndex1)) <=> v90(constB159, bitIndex1)) | v88(constB159, bitIndex1) | (~v90(constB159, bitIndex1))),
% 9.06/7.00 inference(tautology,[status(thm)],[])).
% 9.06/7.00 tff(35097,plain,
% 9.06/7.00 (v88(constB159, bitIndex1)),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[35096, 21101, 35095])).
% 9.06/7.00 tff(35098,plain,
% 9.06/7.00 ((~((~v88(constB159, bitIndex1)) | v88(constB159, bitIndex2) | v88(constB159, bitIndex0))) | (~v88(constB159, bitIndex1)) | v88(constB159, bitIndex2) | v88(constB159, bitIndex0)),
% 9.06/7.00 inference(tautology,[status(thm)],[])).
% 9.06/7.00 tff(35099,plain,
% 9.06/7.00 (~((~v88(constB159, bitIndex1)) | v88(constB159, bitIndex2) | v88(constB159, bitIndex0))),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[35098, 35097, 35093, 35089])).
% 9.06/7.00 tff(35100,plain,
% 9.06/7.00 ((~(v143(constB159) <=> (~((~v88(constB159, bitIndex1)) | v88(constB159, bitIndex2) | v88(constB159, bitIndex0))))) | v143(constB159) | ((~v88(constB159, bitIndex1)) | v88(constB159, bitIndex2) | v88(constB159, bitIndex0))),
% 9.06/7.00 inference(tautology,[status(thm)],[])).
% 9.06/7.00 tff(35101,plain,
% 9.06/7.00 (v143(constB159)),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[35100, 35099, 35083])).
% 9.06/7.00 tff(35102,plain,
% 9.06/7.00 ((v143(constB159) | v144(constB159)) | (~v143(constB159))),
% 9.06/7.00 inference(tautology,[status(thm)],[])).
% 9.06/7.00 tff(35103,plain,
% 9.06/7.00 (v143(constB159) | v144(constB159)),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[35102, 35101])).
% 9.06/7.00 tff(35104,plain,
% 9.06/7.00 ((~(v142(constB159) <=> (v143(constB159) | v144(constB159)))) | v142(constB159) | (~(v143(constB159) | v144(constB159)))),
% 9.06/7.00 inference(tautology,[status(thm)],[])).
% 9.06/7.00 tff(35105,plain,
% 9.06/7.00 (v142(constB159)),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[35104, 35103, 35076])).
% 9.06/7.00 tff(35106,plain,
% 9.06/7.00 ((v142(constB159) | v168(constB159)) | (~v142(constB159))),
% 9.06/7.00 inference(tautology,[status(thm)],[])).
% 9.06/7.00 tff(35107,plain,
% 9.06/7.00 (v142(constB159) | v168(constB159)),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[35106, 35105])).
% 9.06/7.00 tff(35108,plain,
% 9.06/7.00 ((~(v167(constB159) <=> (v142(constB159) | v168(constB159)))) | v167(constB159) | (~(v142(constB159) | v168(constB159)))),
% 9.06/7.00 inference(tautology,[status(thm)],[])).
% 9.06/7.00 tff(35109,plain,
% 9.06/7.00 ((~(v167(constB159) <=> (v142(constB159) | v168(constB159)))) | v167(constB159)),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[35108, 35107])).
% 9.06/7.00 tff(35110,plain,
% 9.06/7.00 (v167(constB159)),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[35109, 35074])).
% 9.06/7.00 tff(35111,plain,
% 9.06/7.00 ((v145(constB159) | v167(constB159)) | (~v167(constB159))),
% 9.06/7.00 inference(tautology,[status(thm)],[])).
% 9.06/7.00 tff(35112,plain,
% 9.06/7.00 (v145(constB159) | v167(constB159)),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[35111, 35110])).
% 9.06/7.00 tff(35113,plain,
% 9.06/7.00 ((~(v166(constB159) <=> (v145(constB159) | v167(constB159)))) | v166(constB159) | (~(v145(constB159) | v167(constB159)))),
% 9.06/7.00 inference(tautology,[status(thm)],[])).
% 9.06/7.00 tff(35114,plain,
% 9.06/7.00 (v166(constB159)),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[35113, 35112, 35072])).
% 9.06/7.00 tff(35115,plain,
% 9.06/7.00 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB159)) | (v163(constB159) <=> v170(constB159)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB159)) | (v163(constB159) <=> v170(constB159)))),
% 9.06/7.00 inference(rewrite,[status(thm)],[])).
% 9.06/7.00 tff(35116,plain,
% 9.06/7.00 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB159)) | (v163(constB159) <=> v170(constB159)))),
% 9.06/7.00 inference(quant_inst,[status(thm)],[])).
% 9.06/7.00 tff(35117,plain,
% 9.06/7.00 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB159)) | (v163(constB159) <=> v170(constB159))),
% 9.06/7.00 inference(modus_ponens,[status(thm)],[35116, 35115])).
% 9.06/7.00 tff(35118,plain,
% 9.06/7.00 ((~v166(constB159)) | (v163(constB159) <=> v170(constB159))),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[35117, 9851])).
% 9.06/7.00 tff(35119,plain,
% 9.06/7.00 (v163(constB159) <=> v170(constB159)),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[35118, 35114])).
% 9.06/7.00 tff(35120,plain,
% 9.06/7.00 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB159) <=> (v142(constB159) | v150(constB159)))),
% 9.06/7.00 inference(quant_inst,[status(thm)],[])).
% 9.06/7.00 tff(35121,plain,
% 9.06/7.00 (v171(constB159) <=> (v142(constB159) | v150(constB159))),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[35120, 9866])).
% 9.06/7.00 tff(35122,plain,
% 9.06/7.00 ((v142(constB159) | v150(constB159)) | (~v142(constB159))),
% 9.06/7.00 inference(tautology,[status(thm)],[])).
% 9.06/7.00 tff(35123,plain,
% 9.06/7.00 (v142(constB159) | v150(constB159)),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[35122, 35105])).
% 9.06/7.00 tff(35124,plain,
% 9.06/7.00 ((~(v171(constB159) <=> (v142(constB159) | v150(constB159)))) | v171(constB159) | (~(v142(constB159) | v150(constB159)))),
% 9.06/7.00 inference(tautology,[status(thm)],[])).
% 9.06/7.00 tff(35125,plain,
% 9.06/7.00 ((~(v171(constB159) <=> (v142(constB159) | v150(constB159)))) | v171(constB159)),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[35124, 35123])).
% 9.06/7.00 tff(35126,plain,
% 9.06/7.00 (v171(constB159)),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[35125, 35121])).
% 9.06/7.00 tff(35127,plain,
% 9.06/7.00 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB159)) | (~v171(constB159)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB159)) | (~v171(constB159)))),
% 9.06/7.00 inference(rewrite,[status(thm)],[])).
% 9.06/7.00 tff(35128,plain,
% 9.06/7.00 (((~v171(constB159)) | (~v170(constB159))) <=> ((~v170(constB159)) | (~v171(constB159)))),
% 9.06/7.00 inference(rewrite,[status(thm)],[])).
% 9.06/7.00 tff(35129,plain,
% 9.06/7.00 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB159)) | (~v170(constB159)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB159)) | (~v171(constB159))))),
% 9.06/7.00 inference(monotonicity,[status(thm)],[35128])).
% 9.06/7.00 tff(35130,plain,
% 9.06/7.00 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB159)) | (~v170(constB159)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB159)) | (~v171(constB159)))),
% 9.06/7.00 inference(transitivity,[status(thm)],[35129, 35127])).
% 9.06/7.00 tff(35131,plain,
% 9.06/7.00 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB159)) | (~v170(constB159)))),
% 9.06/7.00 inference(quant_inst,[status(thm)],[])).
% 9.06/7.00 tff(35132,plain,
% 9.06/7.00 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB159)) | (~v171(constB159))),
% 9.06/7.00 inference(modus_ponens,[status(thm)],[35131, 35130])).
% 9.06/7.00 tff(35133,plain,
% 9.06/7.00 (~v170(constB159)),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[35132, 9899, 35126])).
% 9.06/7.00 tff(35134,plain,
% 9.06/7.00 ((~(v163(constB159) <=> v170(constB159))) | (~v163(constB159)) | v170(constB159)),
% 9.06/7.00 inference(tautology,[status(thm)],[])).
% 9.06/7.00 tff(35135,plain,
% 9.06/7.00 (~v163(constB159)),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[35134, 35133, 35119])).
% 9.06/7.00 tff(35136,plain,
% 9.06/7.00 ((~(v161(constB159) <=> v163(constB159))) | (~v161(constB159)) | v163(constB159)),
% 9.06/7.00 inference(tautology,[status(thm)],[])).
% 9.06/7.00 tff(35137,plain,
% 9.06/7.00 (~v161(constB159)),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[35136, 35135, 35070])).
% 9.06/7.00 tff(35138,plain,
% 9.06/7.00 (((~v159(constB159)) | (~v161(constB159))) | v161(constB159)),
% 9.06/7.00 inference(tautology,[status(thm)],[])).
% 9.06/7.00 tff(35139,plain,
% 9.06/7.00 ((~v159(constB159)) | (~v161(constB159))),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[35138, 35137])).
% 9.06/7.00 tff(35140,plain,
% 9.06/7.00 ((~(v201(constB159) <=> (~((~v159(constB159)) | (~v161(constB159)))))) | (~v201(constB159)) | (~((~v159(constB159)) | (~v161(constB159))))),
% 9.06/7.00 inference(tautology,[status(thm)],[])).
% 9.06/7.00 tff(35141,plain,
% 9.06/7.00 (~v201(constB159)),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[35140, 35139, 35068])).
% 9.06/7.00 tff(35142,plain,
% 9.06/7.00 (((~v197(constB159)) | (~v201(constB159))) | v201(constB159)),
% 9.06/7.00 inference(tautology,[status(thm)],[])).
% 9.06/7.00 tff(35143,plain,
% 9.06/7.00 ((~v197(constB159)) | (~v201(constB159))),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[35142, 35141])).
% 9.06/7.00 tff(35144,plain,
% 9.06/7.00 ((~(v200(constB159) <=> (~((~v197(constB159)) | (~v201(constB159)))))) | (~v200(constB159)) | (~((~v197(constB159)) | (~v201(constB159))))),
% 9.06/7.00 inference(tautology,[status(thm)],[])).
% 9.06/7.00 tff(35145,plain,
% 9.06/7.00 (~v200(constB159)),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[35144, 35143, 35066])).
% 9.06/7.00 tff(35146,plain,
% 9.06/7.00 (((~v199(constB159)) | (~v200(constB159))) | v200(constB159)),
% 9.06/7.00 inference(tautology,[status(thm)],[])).
% 9.06/7.00 tff(35147,plain,
% 9.06/7.00 ((~v199(constB159)) | (~v200(constB159))),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[35146, 35145])).
% 9.06/7.00 tff(35148,plain,
% 9.06/7.00 ((~(v198(constB159) <=> (~((~v199(constB159)) | (~v200(constB159)))))) | (~v198(constB159)) | (~((~v199(constB159)) | (~v200(constB159))))),
% 9.06/7.00 inference(tautology,[status(thm)],[])).
% 9.06/7.00 tff(35149,plain,
% 9.06/7.00 (~v198(constB159)),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[35148, 35147, 35064])).
% 9.06/7.00 tff(35150,plain,
% 9.06/7.00 ((~(v194(constB159) | v198(constB159))) | v194(constB159) | v198(constB159)),
% 9.06/7.00 inference(tautology,[status(thm)],[])).
% 9.06/7.00 tff(35151,plain,
% 9.06/7.00 (~(v194(constB159) | v198(constB159))),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[35150, 35149, 35062])).
% 9.06/7.00 tff(35152,plain,
% 9.06/7.00 ((~(v191(constB159) <=> (v194(constB159) | v198(constB159)))) | (~v191(constB159)) | (v194(constB159) | v198(constB159))),
% 9.06/7.00 inference(tautology,[status(thm)],[])).
% 9.06/7.00 tff(35153,plain,
% 9.06/7.00 (~v191(constB159)),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[35152, 35151, 34989])).
% 9.06/7.00 tff(35154,plain,
% 9.06/7.00 ((~(v193(constB160) <=> v191(constB159))) | (~v193(constB160)) | v191(constB159)),
% 9.06/7.00 inference(tautology,[status(thm)],[])).
% 9.06/7.00 tff(35155,plain,
% 9.06/7.00 (~v193(constB160)),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[35154, 35153, 34987])).
% 9.06/7.00 tff(35156,plain,
% 9.06/7.00 ((~(v157(constB160) <=> v193(constB160))) | (~v157(constB160)) | v193(constB160)),
% 9.06/7.00 inference(tautology,[status(thm)],[])).
% 9.06/7.00 tff(35157,plain,
% 9.06/7.00 (~v157(constB160)),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[35156, 35155, 34983])).
% 9.06/7.00 tff(35158,plain,
% 9.06/7.00 (((~v157(constB160)) | (~v195(constB160))) | v157(constB160)),
% 9.06/7.00 inference(tautology,[status(thm)],[])).
% 9.06/7.00 tff(35159,plain,
% 9.06/7.00 ((~v157(constB160)) | (~v195(constB160))),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[35158, 35157])).
% 9.06/7.00 tff(35160,plain,
% 9.06/7.00 ((~(v194(constB160) <=> (~((~v157(constB160)) | (~v195(constB160)))))) | (~v194(constB160)) | (~((~v157(constB160)) | (~v195(constB160))))),
% 9.06/7.00 inference(tautology,[status(thm)],[])).
% 9.06/7.00 tff(35161,plain,
% 9.06/7.00 (~v194(constB160)),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[35160, 35159, 34981])).
% 9.06/7.00 tff(35162,plain,
% 9.06/7.00 ((~(v194(constB160) | v198(constB160))) | v194(constB160) | v198(constB160)),
% 9.06/7.00 inference(tautology,[status(thm)],[])).
% 9.06/7.00 tff(35163,plain,
% 9.06/7.00 (~(v194(constB160) | v198(constB160))),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[35162, 35161, 34974])).
% 9.06/7.00 tff(35164,plain,
% 9.06/7.00 ((~(v191(constB160) <=> (v194(constB160) | v198(constB160)))) | (~v191(constB160)) | (v194(constB160) | v198(constB160))),
% 9.06/7.00 inference(tautology,[status(thm)],[])).
% 9.06/7.00 tff(35165,plain,
% 9.06/7.00 (~v191(constB160)),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[35164, 35163, 34949])).
% 9.06/7.00 tff(35166,plain,
% 9.06/7.00 ((~(v193(constB161) <=> v191(constB160))) | (~v193(constB161)) | v191(constB160)),
% 9.06/7.00 inference(tautology,[status(thm)],[])).
% 9.06/7.00 tff(35167,plain,
% 9.06/7.00 (~v193(constB161)),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[35166, 35165, 34947])).
% 9.06/7.00 tff(35168,plain,
% 9.06/7.00 ($false),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[35167, 34943])).
% 9.06/7.00 tff(35169,plain,(~(constB161 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.06/7.00 tff(35170,assumption,(constB11 = VarCurr!0), introduced(assumption)).
% 9.06/7.00 tff(35171,plain,
% 9.06/7.00 (v193(constB11) <=> v193(VarCurr!0)),
% 9.06/7.00 inference(monotonicity,[status(thm)],[35170])).
% 9.06/7.00 tff(35172,plain,
% 9.06/7.00 (v193(VarCurr!0) <=> v193(constB11)),
% 9.06/7.00 inference(symmetry,[status(thm)],[35171])).
% 9.06/7.00 tff(35173,plain,
% 9.06/7.00 (v193(constB11)),
% 9.06/7.00 inference(modus_ponens,[status(thm)],[59, 35172])).
% 9.06/7.00 tff(35174,plain,
% 9.06/7.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB10, constB11)) | (v193(constB11) <=> v191(constB10)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB10, constB11)) | (v193(constB11) <=> v191(constB10)))),
% 9.06/7.00 inference(rewrite,[status(thm)],[])).
% 9.06/7.00 tff(35175,plain,
% 9.06/7.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB10, constB11)) | (v193(constB11) <=> v191(constB10)))),
% 9.06/7.00 inference(quant_inst,[status(thm)],[])).
% 9.06/7.00 tff(35176,plain,
% 9.06/7.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB10, constB11)) | (v193(constB11) <=> v191(constB10))),
% 9.06/7.00 inference(modus_ponens,[status(thm)],[35175, 35174])).
% 9.06/7.00 tff(35177,plain,
% 9.06/7.00 (v193(constB11) <=> v191(constB10)),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[35176, 2822, 70])).
% 9.06/7.00 tff(35178,plain,
% 9.06/7.00 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB10) <=> (v194(constB10) | v198(constB10)))),
% 9.06/7.00 inference(quant_inst,[status(thm)],[])).
% 9.06/7.00 tff(35179,plain,
% 9.06/7.00 (v191(constB10) <=> (v194(constB10) | v198(constB10))),
% 9.06/7.00 inference(unit_resolution,[status(thm)],[35178, 84])).
% 9.06/7.00 tff(35180,plain,
% 9.06/7.00 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB10) <=> (~((~v199(constB10)) | (~v200(constB10)))))),
% 9.06/7.00 inference(quant_inst,[status(thm)],[])).
% 9.06/7.00 tff(35181,plain,
% 9.06/7.01 (v198(constB10) <=> (~((~v199(constB10)) | (~v200(constB10))))),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35180, 96])).
% 9.06/7.01 tff(35182,plain,
% 9.06/7.01 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB10) <=> (~((~v197(constB10)) | (~v201(constB10)))))),
% 9.06/7.01 inference(quant_inst,[status(thm)],[])).
% 9.06/7.01 tff(35183,plain,
% 9.06/7.01 (v200(constB10) <=> (~((~v197(constB10)) | (~v201(constB10))))),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35182, 108])).
% 9.06/7.01 tff(35184,plain,
% 9.06/7.01 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB10) <=> (~((~v39(constB10)) | (~v9(constB10)))))),
% 9.06/7.01 inference(quant_inst,[status(thm)],[])).
% 9.06/7.01 tff(35185,plain,
% 9.06/7.01 (v197(constB10) <=> (~((~v39(constB10)) | (~v9(constB10))))),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35184, 120])).
% 9.06/7.01 tff(35186,plain,
% 9.06/7.01 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB10)) <=> v1(constB10))),
% 9.06/7.01 inference(quant_inst,[status(thm)],[])).
% 9.06/7.01 tff(35187,plain,
% 9.06/7.01 ((~v39(constB10)) <=> v1(constB10)),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35186, 129])).
% 9.06/7.01 tff(35188,plain,
% 9.06/7.01 ((~((~v39(constB10)) <=> v1(constB10))) | (~v39(constB10)) | (~v1(constB10))),
% 9.06/7.01 inference(tautology,[status(thm)],[])).
% 9.06/7.01 tff(35189,plain,
% 9.06/7.01 ((~((~v39(constB10)) <=> v1(constB10))) | (~v39(constB10))),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35188, 4093])).
% 9.06/7.01 tff(35190,plain,
% 9.06/7.01 (~v39(constB10)),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35189, 35187])).
% 9.06/7.01 tff(35191,plain,
% 9.06/7.01 (((~v39(constB10)) | (~v9(constB10))) | v39(constB10)),
% 9.06/7.01 inference(tautology,[status(thm)],[])).
% 9.06/7.01 tff(35192,plain,
% 9.06/7.01 ((~v39(constB10)) | (~v9(constB10))),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35191, 35190])).
% 9.06/7.01 tff(35193,plain,
% 9.06/7.01 ((~(v197(constB10) <=> (~((~v39(constB10)) | (~v9(constB10)))))) | (~v197(constB10)) | (~((~v39(constB10)) | (~v9(constB10))))),
% 9.06/7.01 inference(tautology,[status(thm)],[])).
% 9.06/7.01 tff(35194,plain,
% 9.06/7.01 ((~(v197(constB10) <=> (~((~v39(constB10)) | (~v9(constB10)))))) | (~v197(constB10))),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35193, 35192])).
% 9.06/7.01 tff(35195,plain,
% 9.06/7.01 (~v197(constB10)),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35194, 35185])).
% 9.06/7.01 tff(35196,plain,
% 9.06/7.01 (((~v197(constB10)) | (~v201(constB10))) | v197(constB10)),
% 9.06/7.01 inference(tautology,[status(thm)],[])).
% 9.06/7.01 tff(35197,plain,
% 9.06/7.01 ((~v197(constB10)) | (~v201(constB10))),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35196, 35195])).
% 9.06/7.01 tff(35198,plain,
% 9.06/7.01 ((~(v200(constB10) <=> (~((~v197(constB10)) | (~v201(constB10)))))) | (~v200(constB10)) | (~((~v197(constB10)) | (~v201(constB10))))),
% 9.06/7.01 inference(tautology,[status(thm)],[])).
% 9.06/7.01 tff(35199,plain,
% 9.06/7.01 ((~(v200(constB10) <=> (~((~v197(constB10)) | (~v201(constB10)))))) | (~v200(constB10))),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35198, 35197])).
% 9.06/7.01 tff(35200,plain,
% 9.06/7.01 (~v200(constB10)),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35199, 35183])).
% 9.06/7.01 tff(35201,plain,
% 9.06/7.01 (((~v199(constB10)) | (~v200(constB10))) | v200(constB10)),
% 9.06/7.01 inference(tautology,[status(thm)],[])).
% 9.06/7.01 tff(35202,plain,
% 9.06/7.01 ((~v199(constB10)) | (~v200(constB10))),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35201, 35200])).
% 9.06/7.01 tff(35203,plain,
% 9.06/7.01 ((~(v198(constB10) <=> (~((~v199(constB10)) | (~v200(constB10)))))) | (~v198(constB10)) | (~((~v199(constB10)) | (~v200(constB10))))),
% 9.06/7.01 inference(tautology,[status(thm)],[])).
% 9.06/7.01 tff(35204,plain,
% 9.06/7.01 (~v198(constB10)),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35203, 35202, 35181])).
% 9.06/7.01 tff(35205,plain,
% 9.06/7.01 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB10) <=> (~((~v157(constB10)) | (~v195(constB10)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB10) <=> (~((~v157(constB10)) | (~v195(constB10))))))),
% 9.06/7.01 inference(rewrite,[status(thm)],[])).
% 9.06/7.01 tff(35206,plain,
% 9.06/7.01 ((v194(constB10) <=> (~((~v195(constB10)) | (~v157(constB10))))) <=> (v194(constB10) <=> (~((~v157(constB10)) | (~v195(constB10)))))),
% 9.06/7.01 inference(rewrite,[status(thm)],[])).
% 9.06/7.01 tff(35207,plain,
% 9.06/7.01 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB10) <=> (~((~v195(constB10)) | (~v157(constB10)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB10) <=> (~((~v157(constB10)) | (~v195(constB10))))))),
% 9.06/7.01 inference(monotonicity,[status(thm)],[35206])).
% 9.06/7.01 tff(35208,plain,
% 9.06/7.01 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB10) <=> (~((~v195(constB10)) | (~v157(constB10)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB10) <=> (~((~v157(constB10)) | (~v195(constB10))))))),
% 9.06/7.01 inference(transitivity,[status(thm)],[35207, 35205])).
% 9.06/7.01 tff(35209,plain,
% 9.06/7.01 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB10) <=> (~((~v195(constB10)) | (~v157(constB10)))))),
% 9.06/7.01 inference(quant_inst,[status(thm)],[])).
% 9.06/7.01 tff(35210,plain,
% 9.06/7.01 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB10) <=> (~((~v157(constB10)) | (~v195(constB10)))))),
% 9.06/7.01 inference(modus_ponens,[status(thm)],[35209, 35208])).
% 9.06/7.01 tff(35211,plain,
% 9.06/7.01 (v194(constB10) <=> (~((~v157(constB10)) | (~v195(constB10))))),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35210, 161])).
% 9.06/7.01 tff(35212,plain,
% 9.06/7.01 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB10) <=> v193(constB10))),
% 9.06/7.01 inference(quant_inst,[status(thm)],[])).
% 9.06/7.01 tff(35213,plain,
% 9.06/7.01 (v157(constB10) <=> v193(constB10)),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35212, 13])).
% 9.06/7.01 tff(35214,plain,
% 9.06/7.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB9, constB10)) | (v193(constB10) <=> v191(constB9)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB9, constB10)) | (v193(constB10) <=> v191(constB9)))),
% 9.06/7.01 inference(rewrite,[status(thm)],[])).
% 9.06/7.01 tff(35215,plain,
% 9.06/7.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB9, constB10)) | (v193(constB10) <=> v191(constB9)))),
% 9.06/7.01 inference(quant_inst,[status(thm)],[])).
% 9.06/7.01 tff(35216,plain,
% 9.06/7.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB9, constB10)) | (v193(constB10) <=> v191(constB9))),
% 9.06/7.01 inference(modus_ponens,[status(thm)],[35215, 35214])).
% 9.06/7.01 tff(35217,plain,
% 9.06/7.01 (v193(constB10) <=> v191(constB9)),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35216, 2858, 70])).
% 9.06/7.01 tff(35218,plain,
% 9.06/7.01 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB9) <=> (v194(constB9) | v198(constB9)))),
% 9.06/7.01 inference(quant_inst,[status(thm)],[])).
% 9.06/7.01 tff(35219,plain,
% 9.06/7.01 (v191(constB9) <=> (v194(constB9) | v198(constB9))),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35218, 84])).
% 9.06/7.01 tff(35220,plain,
% 9.06/7.01 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB9) <=> (~((~v157(constB9)) | (~v195(constB9)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB9) <=> (~((~v157(constB9)) | (~v195(constB9))))))),
% 9.06/7.01 inference(rewrite,[status(thm)],[])).
% 9.06/7.01 tff(35221,plain,
% 9.06/7.01 ((v194(constB9) <=> (~((~v195(constB9)) | (~v157(constB9))))) <=> (v194(constB9) <=> (~((~v157(constB9)) | (~v195(constB9)))))),
% 9.06/7.01 inference(rewrite,[status(thm)],[])).
% 9.06/7.01 tff(35222,plain,
% 9.06/7.01 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB9) <=> (~((~v195(constB9)) | (~v157(constB9)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB9) <=> (~((~v157(constB9)) | (~v195(constB9))))))),
% 9.06/7.01 inference(monotonicity,[status(thm)],[35221])).
% 9.06/7.01 tff(35223,plain,
% 9.06/7.01 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB9) <=> (~((~v195(constB9)) | (~v157(constB9)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB9) <=> (~((~v157(constB9)) | (~v195(constB9))))))),
% 9.06/7.01 inference(transitivity,[status(thm)],[35222, 35220])).
% 9.06/7.01 tff(35224,plain,
% 9.06/7.01 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB9) <=> (~((~v195(constB9)) | (~v157(constB9)))))),
% 9.06/7.01 inference(quant_inst,[status(thm)],[])).
% 9.06/7.01 tff(35225,plain,
% 9.06/7.01 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB9) <=> (~((~v157(constB9)) | (~v195(constB9)))))),
% 9.06/7.01 inference(modus_ponens,[status(thm)],[35224, 35223])).
% 9.06/7.01 tff(35226,plain,
% 9.06/7.01 (v194(constB9) <=> (~((~v157(constB9)) | (~v195(constB9))))),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35225, 161])).
% 9.06/7.01 tff(35227,plain,
% 9.06/7.01 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB9)) <=> v196(constB9))),
% 9.06/7.01 inference(quant_inst,[status(thm)],[])).
% 9.06/7.01 tff(35228,plain,
% 9.06/7.01 ((~v195(constB9)) <=> v196(constB9)),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35227, 193])).
% 9.06/7.01 tff(35229,plain,
% 9.06/7.01 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB9) <=> (v197(constB9) | v26(constB9)))),
% 9.06/7.01 inference(quant_inst,[status(thm)],[])).
% 9.06/7.01 tff(35230,plain,
% 9.06/7.01 (v196(constB9) <=> (v197(constB9) | v26(constB9))),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35229, 202])).
% 9.06/7.01 tff(35231,plain,
% 9.06/7.01 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB9) <=> (~((~v39(constB9)) | (~v9(constB9)))))),
% 9.06/7.01 inference(quant_inst,[status(thm)],[])).
% 9.06/7.01 tff(35232,plain,
% 9.06/7.01 (v197(constB9) <=> (~((~v39(constB9)) | (~v9(constB9))))),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35231, 120])).
% 9.06/7.01 tff(35233,plain,
% 9.06/7.01 (((~![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)))),
% 9.06/7.01 inference(rewrite,[status(thm)],[])).
% 9.06/7.01 tff(35234,plain,
% 9.06/7.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB9, constB10)) | (v13(constB10) <=> v9(constB9)))),
% 9.06/7.01 inference(quant_inst,[status(thm)],[])).
% 9.06/7.01 tff(35235,plain,
% 9.06/7.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB9, constB10)) | (v13(constB10) <=> v9(constB9))),
% 9.06/7.01 inference(modus_ponens,[status(thm)],[35234, 35233])).
% 9.06/7.01 tff(35236,plain,
% 9.06/7.01 (v13(constB10) <=> v9(constB9)),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35235, 2858, 216])).
% 9.06/7.01 tff(35237,plain,
% 9.06/7.01 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB10) <=> v13(constB10))),
% 9.06/7.01 inference(quant_inst,[status(thm)],[])).
% 9.06/7.01 tff(35238,plain,
% 9.06/7.01 (v6(constB10) <=> v13(constB10)),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35237, 230])).
% 9.06/7.01 tff(35239,plain,
% 9.06/7.01 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB10)) <=> v6(constB10))),
% 9.06/7.01 inference(quant_inst,[status(thm)],[])).
% 9.06/7.01 tff(35240,plain,
% 9.06/7.01 ((~v21(constB10)) <=> v6(constB10)),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35239, 239])).
% 9.06/7.01 tff(35241,plain,
% 9.06/7.01 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB10) <=> (v20(constB10) | v21(constB10)))),
% 9.06/7.01 inference(quant_inst,[status(thm)],[])).
% 9.06/7.01 tff(35242,plain,
% 9.06/7.01 (v19(constB10) <=> (v20(constB10) | v21(constB10))),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35241, 248])).
% 9.06/7.01 tff(35243,plain,
% 9.06/7.01 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB10) <=> (~((~v19(constB10)) | (~v22(constB10)))))),
% 9.06/7.01 inference(quant_inst,[status(thm)],[])).
% 9.06/7.01 tff(35244,plain,
% 9.06/7.01 (v18(constB10) <=> (~((~v19(constB10)) | (~v22(constB10))))),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35243, 260])).
% 9.06/7.01 tff(35245,plain,
% 9.06/7.01 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB10)) <=> v18(constB10))),
% 9.06/7.01 inference(quant_inst,[status(thm)],[])).
% 9.06/7.01 tff(35246,plain,
% 9.06/7.01 ((~v4(constB10)) <=> v18(constB10)),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35245, 269])).
% 9.06/7.01 tff(35247,plain,
% 9.06/7.01 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB10)),
% 9.06/7.01 inference(quant_inst,[status(thm)],[])).
% 9.06/7.01 tff(35248,plain,
% 9.06/7.01 (v4(constB10)),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35247, 278])).
% 9.06/7.01 tff(35249,plain,
% 9.06/7.01 ((~((~v4(constB10)) <=> v18(constB10))) | (~v4(constB10)) | (~v18(constB10))),
% 9.06/7.01 inference(tautology,[status(thm)],[])).
% 9.06/7.01 tff(35250,plain,
% 9.06/7.01 (~v18(constB10)),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35249, 35248, 35246])).
% 9.06/7.01 tff(35251,plain,
% 9.06/7.01 ((~(v18(constB10) <=> (~((~v19(constB10)) | (~v22(constB10)))))) | v18(constB10) | ((~v19(constB10)) | (~v22(constB10)))),
% 9.06/7.01 inference(tautology,[status(thm)],[])).
% 9.06/7.01 tff(35252,plain,
% 9.06/7.01 ((~v19(constB10)) | (~v22(constB10))),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35251, 35250, 35244])).
% 9.06/7.01 tff(35253,plain,
% 9.06/7.01 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB10) <=> (v1(constB10) | v6(constB10)))),
% 9.06/7.01 inference(quant_inst,[status(thm)],[])).
% 9.06/7.01 tff(35254,plain,
% 9.06/7.01 (v22(constB10) <=> (v1(constB10) | v6(constB10))),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35253, 291])).
% 9.06/7.01 tff(35255,plain,
% 9.06/7.01 ((v1(constB10) | v6(constB10)) | (~v1(constB10))),
% 9.06/7.01 inference(tautology,[status(thm)],[])).
% 9.06/7.01 tff(35256,plain,
% 9.06/7.01 (v1(constB10) | v6(constB10)),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35255, 4093])).
% 9.06/7.01 tff(35257,plain,
% 9.06/7.01 ((~(v22(constB10) <=> (v1(constB10) | v6(constB10)))) | v22(constB10) | (~(v1(constB10) | v6(constB10)))),
% 9.06/7.01 inference(tautology,[status(thm)],[])).
% 9.06/7.01 tff(35258,plain,
% 9.06/7.01 ((~(v22(constB10) <=> (v1(constB10) | v6(constB10)))) | v22(constB10)),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35257, 35256])).
% 9.06/7.01 tff(35259,plain,
% 9.06/7.01 (v22(constB10)),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35258, 35254])).
% 9.06/7.01 tff(35260,plain,
% 9.06/7.01 ((~((~v19(constB10)) | (~v22(constB10)))) | (~v19(constB10)) | (~v22(constB10))),
% 9.06/7.01 inference(tautology,[status(thm)],[])).
% 9.06/7.01 tff(35261,plain,
% 9.06/7.01 ((~((~v19(constB10)) | (~v22(constB10)))) | (~v19(constB10))),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35260, 35259])).
% 9.06/7.01 tff(35262,plain,
% 9.06/7.01 (~v19(constB10)),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35261, 35252])).
% 9.06/7.01 tff(35263,plain,
% 9.06/7.01 ((~(v19(constB10) <=> (v20(constB10) | v21(constB10)))) | v19(constB10) | (~(v20(constB10) | v21(constB10)))),
% 9.06/7.01 inference(tautology,[status(thm)],[])).
% 9.06/7.01 tff(35264,plain,
% 9.06/7.01 (~(v20(constB10) | v21(constB10))),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35263, 35262, 35242])).
% 9.06/7.01 tff(35265,plain,
% 9.06/7.01 ((v20(constB10) | v21(constB10)) | (~v21(constB10))),
% 9.06/7.01 inference(tautology,[status(thm)],[])).
% 9.06/7.01 tff(35266,plain,
% 9.06/7.01 (~v21(constB10)),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35265, 35264])).
% 9.06/7.01 tff(35267,plain,
% 9.06/7.01 ((~((~v21(constB10)) <=> v6(constB10))) | v21(constB10) | v6(constB10)),
% 9.06/7.01 inference(tautology,[status(thm)],[])).
% 9.06/7.01 tff(35268,plain,
% 9.06/7.01 (v6(constB10)),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35267, 35266, 35240])).
% 9.06/7.01 tff(35269,plain,
% 9.06/7.01 ((~(v6(constB10) <=> v13(constB10))) | (~v6(constB10)) | v13(constB10)),
% 9.06/7.01 inference(tautology,[status(thm)],[])).
% 9.06/7.01 tff(35270,plain,
% 9.06/7.01 (v13(constB10)),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35269, 35268, 35238])).
% 9.06/7.01 tff(35271,plain,
% 9.06/7.01 ((~(v13(constB10) <=> v9(constB9))) | (~v13(constB10)) | v9(constB9)),
% 9.06/7.01 inference(tautology,[status(thm)],[])).
% 9.06/7.01 tff(35272,plain,
% 9.06/7.01 (v9(constB9)),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35271, 35270, 35236])).
% 9.06/7.01 tff(35273,plain,
% 9.06/7.01 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB9)) <=> v1(constB9))),
% 9.06/7.01 inference(quant_inst,[status(thm)],[])).
% 9.06/7.01 tff(35274,plain,
% 9.06/7.01 ((~v39(constB9)) <=> v1(constB9)),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35273, 129])).
% 9.06/7.01 tff(35275,plain,
% 9.06/7.01 ((~((~v39(constB9)) <=> v1(constB9))) | v39(constB9) | v1(constB9)),
% 9.06/7.01 inference(tautology,[status(thm)],[])).
% 9.06/7.01 tff(35276,plain,
% 9.06/7.01 ((~((~v39(constB9)) <=> v1(constB9))) | v39(constB9)),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35275, 2902])).
% 9.06/7.01 tff(35277,plain,
% 9.06/7.01 (v39(constB9)),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35276, 35274])).
% 9.06/7.01 tff(35278,plain,
% 9.06/7.01 ((~((~v39(constB9)) | (~v9(constB9)))) | (~v39(constB9)) | (~v9(constB9))),
% 9.06/7.01 inference(tautology,[status(thm)],[])).
% 9.06/7.01 tff(35279,plain,
% 9.06/7.01 ((~((~v39(constB9)) | (~v9(constB9)))) | (~v9(constB9))),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35278, 35277])).
% 9.06/7.01 tff(35280,plain,
% 9.06/7.01 (~((~v39(constB9)) | (~v9(constB9)))),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35279, 35272])).
% 9.06/7.01 tff(35281,plain,
% 9.06/7.01 ((~(v197(constB9) <=> (~((~v39(constB9)) | (~v9(constB9)))))) | v197(constB9) | ((~v39(constB9)) | (~v9(constB9)))),
% 9.06/7.01 inference(tautology,[status(thm)],[])).
% 9.06/7.01 tff(35282,plain,
% 9.06/7.01 (v197(constB9)),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35281, 35280, 35232])).
% 9.06/7.01 tff(35283,plain,
% 9.06/7.01 ((v197(constB9) | v26(constB9)) | (~v197(constB9))),
% 9.06/7.01 inference(tautology,[status(thm)],[])).
% 9.06/7.01 tff(35284,plain,
% 9.06/7.01 (v197(constB9) | v26(constB9)),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35283, 35282])).
% 9.06/7.01 tff(35285,plain,
% 9.06/7.01 ((~(v196(constB9) <=> (v197(constB9) | v26(constB9)))) | v196(constB9) | (~(v197(constB9) | v26(constB9)))),
% 9.06/7.01 inference(tautology,[status(thm)],[])).
% 9.06/7.01 tff(35286,plain,
% 9.06/7.01 (v196(constB9)),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35285, 35284, 35230])).
% 9.06/7.01 tff(35287,plain,
% 9.06/7.01 ((~((~v195(constB9)) <=> v196(constB9))) | (~v195(constB9)) | (~v196(constB9))),
% 9.06/7.01 inference(tautology,[status(thm)],[])).
% 9.06/7.01 tff(35288,plain,
% 9.06/7.01 (~v195(constB9)),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35287, 35286, 35228])).
% 9.06/7.01 tff(35289,plain,
% 9.06/7.01 (((~v157(constB9)) | (~v195(constB9))) | v195(constB9)),
% 9.06/7.01 inference(tautology,[status(thm)],[])).
% 9.06/7.01 tff(35290,plain,
% 9.06/7.01 ((~v157(constB9)) | (~v195(constB9))),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35289, 35288])).
% 9.06/7.01 tff(35291,plain,
% 9.06/7.01 ((~(v194(constB9) <=> (~((~v157(constB9)) | (~v195(constB9)))))) | (~v194(constB9)) | (~((~v157(constB9)) | (~v195(constB9))))),
% 9.06/7.01 inference(tautology,[status(thm)],[])).
% 9.06/7.01 tff(35292,plain,
% 9.06/7.01 (~v194(constB9)),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35291, 35290, 35226])).
% 9.06/7.01 tff(35293,plain,
% 9.06/7.01 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB9) <=> (~((~v199(constB9)) | (~v200(constB9)))))),
% 9.06/7.01 inference(quant_inst,[status(thm)],[])).
% 9.06/7.01 tff(35294,plain,
% 9.06/7.01 (v198(constB9) <=> (~((~v199(constB9)) | (~v200(constB9))))),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35293, 96])).
% 9.06/7.01 tff(35295,plain,
% 9.06/7.01 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB9) <=> (~((~v197(constB9)) | (~v201(constB9)))))),
% 9.06/7.01 inference(quant_inst,[status(thm)],[])).
% 9.06/7.01 tff(35296,plain,
% 9.06/7.01 (v200(constB9) <=> (~((~v197(constB9)) | (~v201(constB9))))),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35295, 108])).
% 9.06/7.01 tff(35297,plain,
% 9.06/7.01 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB9) <=> (~((~v159(constB9)) | (~v161(constB9)))))),
% 9.06/7.01 inference(quant_inst,[status(thm)],[])).
% 9.06/7.01 tff(35298,plain,
% 9.06/7.01 (v201(constB9) <=> (~((~v159(constB9)) | (~v161(constB9))))),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35297, 348])).
% 9.06/7.01 tff(35299,plain,
% 9.06/7.01 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB9) <=> v163(constB9))),
% 9.06/7.01 inference(quant_inst,[status(thm)],[])).
% 9.06/7.01 tff(35300,plain,
% 9.06/7.01 (v161(constB9) <=> v163(constB9)),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35299, 357])).
% 9.06/7.01 tff(35301,plain,
% 9.06/7.01 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB9) <=> (v145(constB9) | v167(constB9)))),
% 9.06/7.01 inference(quant_inst,[status(thm)],[])).
% 9.06/7.01 tff(35302,plain,
% 9.06/7.01 (v166(constB9) <=> (v145(constB9) | v167(constB9))),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35301, 369])).
% 9.06/7.01 tff(35303,plain,
% 9.06/7.01 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB9) <=> (v142(constB9) | v168(constB9)))),
% 9.06/7.01 inference(quant_inst,[status(thm)],[])).
% 9.06/7.01 tff(35304,plain,
% 9.06/7.01 (v167(constB9) <=> (v142(constB9) | v168(constB9))),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35303, 381])).
% 9.06/7.01 tff(35305,plain,
% 9.06/7.01 ((v142(constB9) | v168(constB9)) | (~v142(constB9))),
% 9.06/7.01 inference(tautology,[status(thm)],[])).
% 9.06/7.01 tff(35306,plain,
% 9.06/7.01 (v142(constB9) | v168(constB9)),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35305, 24286])).
% 9.06/7.01 tff(35307,plain,
% 9.06/7.01 ((~(v167(constB9) <=> (v142(constB9) | v168(constB9)))) | v167(constB9) | (~(v142(constB9) | v168(constB9)))),
% 9.06/7.01 inference(tautology,[status(thm)],[])).
% 9.06/7.01 tff(35308,plain,
% 9.06/7.01 ((~(v167(constB9) <=> (v142(constB9) | v168(constB9)))) | v167(constB9)),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35307, 35306])).
% 9.06/7.01 tff(35309,plain,
% 9.06/7.01 (v167(constB9)),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35308, 35304])).
% 9.06/7.01 tff(35310,plain,
% 9.06/7.01 ((v145(constB9) | v167(constB9)) | (~v167(constB9))),
% 9.06/7.01 inference(tautology,[status(thm)],[])).
% 9.06/7.01 tff(35311,plain,
% 9.06/7.01 (v145(constB9) | v167(constB9)),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35310, 35309])).
% 9.06/7.01 tff(35312,plain,
% 9.06/7.01 ((~(v166(constB9) <=> (v145(constB9) | v167(constB9)))) | v166(constB9) | (~(v145(constB9) | v167(constB9)))),
% 9.06/7.01 inference(tautology,[status(thm)],[])).
% 9.06/7.01 tff(35313,plain,
% 9.06/7.01 (v166(constB9)),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35312, 35311, 35302])).
% 9.06/7.01 tff(35314,plain,
% 9.06/7.01 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB9)) | (v163(constB9) <=> v170(constB9)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB9)) | (v163(constB9) <=> v170(constB9)))),
% 9.06/7.01 inference(rewrite,[status(thm)],[])).
% 9.06/7.01 tff(35315,plain,
% 9.06/7.01 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB9)) | (v163(constB9) <=> v170(constB9)))),
% 9.06/7.01 inference(quant_inst,[status(thm)],[])).
% 9.06/7.01 tff(35316,plain,
% 9.06/7.01 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB9)) | (v163(constB9) <=> v170(constB9))),
% 9.06/7.01 inference(modus_ponens,[status(thm)],[35315, 35314])).
% 9.06/7.01 tff(35317,plain,
% 9.06/7.01 ((~v166(constB9)) | (v163(constB9) <=> v170(constB9))),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35316, 9851])).
% 9.06/7.01 tff(35318,plain,
% 9.06/7.01 (v163(constB9) <=> v170(constB9)),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35317, 35313])).
% 9.06/7.01 tff(35319,plain,
% 9.06/7.01 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB9) <=> (v142(constB9) | v150(constB9)))),
% 9.06/7.01 inference(quant_inst,[status(thm)],[])).
% 9.06/7.01 tff(35320,plain,
% 9.06/7.01 (v171(constB9) <=> (v142(constB9) | v150(constB9))),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35319, 9866])).
% 9.06/7.01 tff(35321,plain,
% 9.06/7.01 ((v142(constB9) | v150(constB9)) | (~v142(constB9))),
% 9.06/7.01 inference(tautology,[status(thm)],[])).
% 9.06/7.01 tff(35322,plain,
% 9.06/7.01 (v142(constB9) | v150(constB9)),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35321, 24286])).
% 9.06/7.01 tff(35323,plain,
% 9.06/7.01 ((~(v171(constB9) <=> (v142(constB9) | v150(constB9)))) | v171(constB9) | (~(v142(constB9) | v150(constB9)))),
% 9.06/7.01 inference(tautology,[status(thm)],[])).
% 9.06/7.01 tff(35324,plain,
% 9.06/7.01 ((~(v171(constB9) <=> (v142(constB9) | v150(constB9)))) | v171(constB9)),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35323, 35322])).
% 9.06/7.01 tff(35325,plain,
% 9.06/7.01 (v171(constB9)),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35324, 35320])).
% 9.06/7.01 tff(35326,plain,
% 9.06/7.01 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB9)) | (~v171(constB9)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB9)) | (~v171(constB9)))),
% 9.06/7.01 inference(rewrite,[status(thm)],[])).
% 9.06/7.01 tff(35327,plain,
% 9.06/7.01 (((~v171(constB9)) | (~v170(constB9))) <=> ((~v170(constB9)) | (~v171(constB9)))),
% 9.06/7.01 inference(rewrite,[status(thm)],[])).
% 9.06/7.01 tff(35328,plain,
% 9.06/7.01 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB9)) | (~v170(constB9)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB9)) | (~v171(constB9))))),
% 9.06/7.01 inference(monotonicity,[status(thm)],[35327])).
% 9.06/7.01 tff(35329,plain,
% 9.06/7.01 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB9)) | (~v170(constB9)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB9)) | (~v171(constB9)))),
% 9.06/7.01 inference(transitivity,[status(thm)],[35328, 35326])).
% 9.06/7.01 tff(35330,plain,
% 9.06/7.01 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB9)) | (~v170(constB9)))),
% 9.06/7.01 inference(quant_inst,[status(thm)],[])).
% 9.06/7.01 tff(35331,plain,
% 9.06/7.01 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB9)) | (~v171(constB9))),
% 9.06/7.01 inference(modus_ponens,[status(thm)],[35330, 35329])).
% 9.06/7.01 tff(35332,plain,
% 9.06/7.01 (~v170(constB9)),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35331, 9899, 35325])).
% 9.06/7.01 tff(35333,plain,
% 9.06/7.01 ((~(v163(constB9) <=> v170(constB9))) | (~v163(constB9)) | v170(constB9)),
% 9.06/7.01 inference(tautology,[status(thm)],[])).
% 9.06/7.01 tff(35334,plain,
% 9.06/7.01 (~v163(constB9)),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35333, 35332, 35318])).
% 9.06/7.01 tff(35335,plain,
% 9.06/7.01 ((~(v161(constB9) <=> v163(constB9))) | (~v161(constB9)) | v163(constB9)),
% 9.06/7.01 inference(tautology,[status(thm)],[])).
% 9.06/7.01 tff(35336,plain,
% 9.06/7.01 (~v161(constB9)),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35335, 35334, 35300])).
% 9.06/7.01 tff(35337,plain,
% 9.06/7.01 (((~v159(constB9)) | (~v161(constB9))) | v161(constB9)),
% 9.06/7.01 inference(tautology,[status(thm)],[])).
% 9.06/7.01 tff(35338,plain,
% 9.06/7.01 ((~v159(constB9)) | (~v161(constB9))),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35337, 35336])).
% 9.06/7.01 tff(35339,plain,
% 9.06/7.01 ((~(v201(constB9) <=> (~((~v159(constB9)) | (~v161(constB9)))))) | (~v201(constB9)) | (~((~v159(constB9)) | (~v161(constB9))))),
% 9.06/7.01 inference(tautology,[status(thm)],[])).
% 9.06/7.01 tff(35340,plain,
% 9.06/7.01 (~v201(constB9)),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35339, 35338, 35298])).
% 9.06/7.01 tff(35341,plain,
% 9.06/7.01 (((~v197(constB9)) | (~v201(constB9))) | v201(constB9)),
% 9.06/7.01 inference(tautology,[status(thm)],[])).
% 9.06/7.01 tff(35342,plain,
% 9.06/7.01 ((~v197(constB9)) | (~v201(constB9))),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35341, 35340])).
% 9.06/7.01 tff(35343,plain,
% 9.06/7.01 ((~(v200(constB9) <=> (~((~v197(constB9)) | (~v201(constB9)))))) | (~v200(constB9)) | (~((~v197(constB9)) | (~v201(constB9))))),
% 9.06/7.01 inference(tautology,[status(thm)],[])).
% 9.06/7.01 tff(35344,plain,
% 9.06/7.01 (~v200(constB9)),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35343, 35342, 35296])).
% 9.06/7.01 tff(35345,plain,
% 9.06/7.01 (((~v199(constB9)) | (~v200(constB9))) | v200(constB9)),
% 9.06/7.01 inference(tautology,[status(thm)],[])).
% 9.06/7.01 tff(35346,plain,
% 9.06/7.01 ((~v199(constB9)) | (~v200(constB9))),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35345, 35344])).
% 9.06/7.01 tff(35347,plain,
% 9.06/7.01 ((~(v198(constB9) <=> (~((~v199(constB9)) | (~v200(constB9)))))) | (~v198(constB9)) | (~((~v199(constB9)) | (~v200(constB9))))),
% 9.06/7.01 inference(tautology,[status(thm)],[])).
% 9.06/7.01 tff(35348,plain,
% 9.06/7.01 (~v198(constB9)),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35347, 35346, 35294])).
% 9.06/7.01 tff(35349,plain,
% 9.06/7.01 ((~(v194(constB9) | v198(constB9))) | v194(constB9) | v198(constB9)),
% 9.06/7.01 inference(tautology,[status(thm)],[])).
% 9.06/7.01 tff(35350,plain,
% 9.06/7.01 (~(v194(constB9) | v198(constB9))),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35349, 35348, 35292])).
% 9.06/7.01 tff(35351,plain,
% 9.06/7.01 ((~(v191(constB9) <=> (v194(constB9) | v198(constB9)))) | (~v191(constB9)) | (v194(constB9) | v198(constB9))),
% 9.06/7.01 inference(tautology,[status(thm)],[])).
% 9.06/7.01 tff(35352,plain,
% 9.06/7.01 (~v191(constB9)),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35351, 35350, 35219])).
% 9.06/7.01 tff(35353,plain,
% 9.06/7.01 ((~(v193(constB10) <=> v191(constB9))) | (~v193(constB10)) | v191(constB9)),
% 9.06/7.01 inference(tautology,[status(thm)],[])).
% 9.06/7.01 tff(35354,plain,
% 9.06/7.01 (~v193(constB10)),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35353, 35352, 35217])).
% 9.06/7.01 tff(35355,plain,
% 9.06/7.01 ((~(v157(constB10) <=> v193(constB10))) | (~v157(constB10)) | v193(constB10)),
% 9.06/7.01 inference(tautology,[status(thm)],[])).
% 9.06/7.01 tff(35356,plain,
% 9.06/7.01 (~v157(constB10)),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35355, 35354, 35213])).
% 9.06/7.01 tff(35357,plain,
% 9.06/7.01 (((~v157(constB10)) | (~v195(constB10))) | v157(constB10)),
% 9.06/7.01 inference(tautology,[status(thm)],[])).
% 9.06/7.01 tff(35358,plain,
% 9.06/7.01 ((~v157(constB10)) | (~v195(constB10))),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35357, 35356])).
% 9.06/7.01 tff(35359,plain,
% 9.06/7.01 ((~(v194(constB10) <=> (~((~v157(constB10)) | (~v195(constB10)))))) | (~v194(constB10)) | (~((~v157(constB10)) | (~v195(constB10))))),
% 9.06/7.01 inference(tautology,[status(thm)],[])).
% 9.06/7.01 tff(35360,plain,
% 9.06/7.01 (~v194(constB10)),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35359, 35358, 35211])).
% 9.06/7.01 tff(35361,plain,
% 9.06/7.01 ((~(v194(constB10) | v198(constB10))) | v194(constB10) | v198(constB10)),
% 9.06/7.01 inference(tautology,[status(thm)],[])).
% 9.06/7.01 tff(35362,plain,
% 9.06/7.01 (~(v194(constB10) | v198(constB10))),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35361, 35360, 35204])).
% 9.06/7.01 tff(35363,plain,
% 9.06/7.01 ((~(v191(constB10) <=> (v194(constB10) | v198(constB10)))) | (~v191(constB10)) | (v194(constB10) | v198(constB10))),
% 9.06/7.01 inference(tautology,[status(thm)],[])).
% 9.06/7.01 tff(35364,plain,
% 9.06/7.01 (~v191(constB10)),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35363, 35362, 35179])).
% 9.06/7.01 tff(35365,plain,
% 9.06/7.01 ((~(v193(constB11) <=> v191(constB10))) | (~v193(constB11)) | v191(constB10)),
% 9.06/7.01 inference(tautology,[status(thm)],[])).
% 9.06/7.01 tff(35366,plain,
% 9.06/7.01 (~v193(constB11)),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35365, 35364, 35177])).
% 9.06/7.01 tff(35367,plain,
% 9.06/7.01 ($false),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35366, 35173])).
% 9.06/7.01 tff(35368,plain,(~(constB11 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.06/7.01 tff(35369,assumption,(constB53 = VarCurr!0), introduced(assumption)).
% 9.06/7.01 tff(35370,plain,
% 9.06/7.01 (v193(constB53) <=> v193(VarCurr!0)),
% 9.06/7.01 inference(monotonicity,[status(thm)],[35369])).
% 9.06/7.01 tff(35371,plain,
% 9.06/7.01 (v193(VarCurr!0) <=> v193(constB53)),
% 9.06/7.01 inference(symmetry,[status(thm)],[35370])).
% 9.06/7.01 tff(35372,plain,
% 9.06/7.01 (v193(constB53)),
% 9.06/7.01 inference(modus_ponens,[status(thm)],[59, 35371])).
% 9.06/7.01 tff(35373,plain,
% 9.06/7.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB52, constB53)) | (v193(constB53) <=> v191(constB52)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB52, constB53)) | (v193(constB53) <=> v191(constB52)))),
% 9.06/7.01 inference(rewrite,[status(thm)],[])).
% 9.06/7.01 tff(35374,plain,
% 9.06/7.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB52, constB53)) | (v193(constB53) <=> v191(constB52)))),
% 9.06/7.01 inference(quant_inst,[status(thm)],[])).
% 9.06/7.01 tff(35375,plain,
% 9.06/7.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB52, constB53)) | (v193(constB53) <=> v191(constB52))),
% 9.06/7.01 inference(modus_ponens,[status(thm)],[35374, 35373])).
% 9.06/7.01 tff(35376,plain,
% 9.06/7.01 (v193(constB53) <=> v191(constB52)),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35375, 1476, 70])).
% 9.06/7.01 tff(35377,plain,
% 9.06/7.01 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB52) <=> (v194(constB52) | v198(constB52)))),
% 9.06/7.01 inference(quant_inst,[status(thm)],[])).
% 9.06/7.01 tff(35378,plain,
% 9.06/7.01 (v191(constB52) <=> (v194(constB52) | v198(constB52))),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35377, 84])).
% 9.06/7.01 tff(35379,plain,
% 9.06/7.01 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB52) <=> (~((~v199(constB52)) | (~v200(constB52)))))),
% 9.06/7.01 inference(quant_inst,[status(thm)],[])).
% 9.06/7.01 tff(35380,plain,
% 9.06/7.01 (v198(constB52) <=> (~((~v199(constB52)) | (~v200(constB52))))),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35379, 96])).
% 9.06/7.01 tff(35381,plain,
% 9.06/7.01 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB52) <=> (~((~v197(constB52)) | (~v201(constB52)))))),
% 9.06/7.01 inference(quant_inst,[status(thm)],[])).
% 9.06/7.01 tff(35382,plain,
% 9.06/7.01 (v200(constB52) <=> (~((~v197(constB52)) | (~v201(constB52))))),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35381, 108])).
% 9.06/7.01 tff(35383,plain,
% 9.06/7.01 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB52) <=> (~((~v39(constB52)) | (~v9(constB52)))))),
% 9.06/7.01 inference(quant_inst,[status(thm)],[])).
% 9.06/7.01 tff(35384,plain,
% 9.06/7.01 (v197(constB52) <=> (~((~v39(constB52)) | (~v9(constB52))))),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35383, 120])).
% 9.06/7.01 tff(35385,plain,
% 9.06/7.01 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB52)) <=> v1(constB52))),
% 9.06/7.01 inference(quant_inst,[status(thm)],[])).
% 9.06/7.01 tff(35386,plain,
% 9.06/7.01 ((~v39(constB52)) <=> v1(constB52)),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35385, 129])).
% 9.06/7.01 tff(35387,plain,
% 9.06/7.01 ((~((~v39(constB52)) <=> v1(constB52))) | (~v39(constB52)) | (~v1(constB52))),
% 9.06/7.01 inference(tautology,[status(thm)],[])).
% 9.06/7.01 tff(35388,plain,
% 9.06/7.01 ((~((~v39(constB52)) <=> v1(constB52))) | (~v39(constB52))),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35387, 7462])).
% 9.06/7.01 tff(35389,plain,
% 9.06/7.01 (~v39(constB52)),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35388, 35386])).
% 9.06/7.01 tff(35390,plain,
% 9.06/7.01 (((~v39(constB52)) | (~v9(constB52))) | v39(constB52)),
% 9.06/7.01 inference(tautology,[status(thm)],[])).
% 9.06/7.01 tff(35391,plain,
% 9.06/7.01 ((~v39(constB52)) | (~v9(constB52))),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35390, 35389])).
% 9.06/7.01 tff(35392,plain,
% 9.06/7.01 ((~(v197(constB52) <=> (~((~v39(constB52)) | (~v9(constB52)))))) | (~v197(constB52)) | (~((~v39(constB52)) | (~v9(constB52))))),
% 9.06/7.01 inference(tautology,[status(thm)],[])).
% 9.06/7.01 tff(35393,plain,
% 9.06/7.01 ((~(v197(constB52) <=> (~((~v39(constB52)) | (~v9(constB52)))))) | (~v197(constB52))),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35392, 35391])).
% 9.06/7.01 tff(35394,plain,
% 9.06/7.01 (~v197(constB52)),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35393, 35384])).
% 9.06/7.01 tff(35395,plain,
% 9.06/7.01 (((~v197(constB52)) | (~v201(constB52))) | v197(constB52)),
% 9.06/7.01 inference(tautology,[status(thm)],[])).
% 9.06/7.01 tff(35396,plain,
% 9.06/7.01 ((~v197(constB52)) | (~v201(constB52))),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35395, 35394])).
% 9.06/7.01 tff(35397,plain,
% 9.06/7.01 ((~(v200(constB52) <=> (~((~v197(constB52)) | (~v201(constB52)))))) | (~v200(constB52)) | (~((~v197(constB52)) | (~v201(constB52))))),
% 9.06/7.01 inference(tautology,[status(thm)],[])).
% 9.06/7.01 tff(35398,plain,
% 9.06/7.01 ((~(v200(constB52) <=> (~((~v197(constB52)) | (~v201(constB52)))))) | (~v200(constB52))),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35397, 35396])).
% 9.06/7.01 tff(35399,plain,
% 9.06/7.01 (~v200(constB52)),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35398, 35382])).
% 9.06/7.01 tff(35400,plain,
% 9.06/7.01 (((~v199(constB52)) | (~v200(constB52))) | v200(constB52)),
% 9.06/7.01 inference(tautology,[status(thm)],[])).
% 9.06/7.01 tff(35401,plain,
% 9.06/7.01 ((~v199(constB52)) | (~v200(constB52))),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35400, 35399])).
% 9.06/7.01 tff(35402,plain,
% 9.06/7.01 ((~(v198(constB52) <=> (~((~v199(constB52)) | (~v200(constB52)))))) | (~v198(constB52)) | (~((~v199(constB52)) | (~v200(constB52))))),
% 9.06/7.01 inference(tautology,[status(thm)],[])).
% 9.06/7.01 tff(35403,plain,
% 9.06/7.01 (~v198(constB52)),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35402, 35401, 35380])).
% 9.06/7.01 tff(35404,plain,
% 9.06/7.01 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB52) <=> (~((~v157(constB52)) | (~v195(constB52)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB52) <=> (~((~v157(constB52)) | (~v195(constB52))))))),
% 9.06/7.01 inference(rewrite,[status(thm)],[])).
% 9.06/7.01 tff(35405,plain,
% 9.06/7.01 ((v194(constB52) <=> (~((~v195(constB52)) | (~v157(constB52))))) <=> (v194(constB52) <=> (~((~v157(constB52)) | (~v195(constB52)))))),
% 9.06/7.01 inference(rewrite,[status(thm)],[])).
% 9.06/7.01 tff(35406,plain,
% 9.06/7.01 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB52) <=> (~((~v195(constB52)) | (~v157(constB52)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB52) <=> (~((~v157(constB52)) | (~v195(constB52))))))),
% 9.06/7.01 inference(monotonicity,[status(thm)],[35405])).
% 9.06/7.01 tff(35407,plain,
% 9.06/7.01 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB52) <=> (~((~v195(constB52)) | (~v157(constB52)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB52) <=> (~((~v157(constB52)) | (~v195(constB52))))))),
% 9.06/7.01 inference(transitivity,[status(thm)],[35406, 35404])).
% 9.06/7.01 tff(35408,plain,
% 9.06/7.01 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB52) <=> (~((~v195(constB52)) | (~v157(constB52)))))),
% 9.06/7.01 inference(quant_inst,[status(thm)],[])).
% 9.06/7.01 tff(35409,plain,
% 9.06/7.01 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB52) <=> (~((~v157(constB52)) | (~v195(constB52)))))),
% 9.06/7.01 inference(modus_ponens,[status(thm)],[35408, 35407])).
% 9.06/7.01 tff(35410,plain,
% 9.06/7.01 (v194(constB52) <=> (~((~v157(constB52)) | (~v195(constB52))))),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35409, 161])).
% 9.06/7.01 tff(35411,plain,
% 9.06/7.01 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB52) <=> v193(constB52))),
% 9.06/7.01 inference(quant_inst,[status(thm)],[])).
% 9.06/7.01 tff(35412,plain,
% 9.06/7.01 (v157(constB52) <=> v193(constB52)),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35411, 13])).
% 9.06/7.01 tff(35413,plain,
% 9.06/7.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB51, constB52)) | (v193(constB52) <=> v191(constB51)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB51, constB52)) | (v193(constB52) <=> v191(constB51)))),
% 9.06/7.01 inference(rewrite,[status(thm)],[])).
% 9.06/7.01 tff(35414,plain,
% 9.06/7.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB51, constB52)) | (v193(constB52) <=> v191(constB51)))),
% 9.06/7.01 inference(quant_inst,[status(thm)],[])).
% 9.06/7.01 tff(35415,plain,
% 9.06/7.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB51, constB52)) | (v193(constB52) <=> v191(constB51))),
% 9.06/7.01 inference(modus_ponens,[status(thm)],[35414, 35413])).
% 9.06/7.01 tff(35416,plain,
% 9.06/7.01 (v193(constB52) <=> v191(constB51)),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35415, 1512, 70])).
% 9.06/7.01 tff(35417,plain,
% 9.06/7.01 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB51) <=> (v194(constB51) | v198(constB51)))),
% 9.06/7.01 inference(quant_inst,[status(thm)],[])).
% 9.06/7.01 tff(35418,plain,
% 9.06/7.01 (v191(constB51) <=> (v194(constB51) | v198(constB51))),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35417, 84])).
% 9.06/7.01 tff(35419,plain,
% 9.06/7.01 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB51) <=> (~((~v157(constB51)) | (~v195(constB51)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB51) <=> (~((~v157(constB51)) | (~v195(constB51))))))),
% 9.06/7.01 inference(rewrite,[status(thm)],[])).
% 9.06/7.01 tff(35420,plain,
% 9.06/7.01 ((v194(constB51) <=> (~((~v195(constB51)) | (~v157(constB51))))) <=> (v194(constB51) <=> (~((~v157(constB51)) | (~v195(constB51)))))),
% 9.06/7.01 inference(rewrite,[status(thm)],[])).
% 9.06/7.01 tff(35421,plain,
% 9.06/7.01 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB51) <=> (~((~v195(constB51)) | (~v157(constB51)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB51) <=> (~((~v157(constB51)) | (~v195(constB51))))))),
% 9.06/7.01 inference(monotonicity,[status(thm)],[35420])).
% 9.06/7.01 tff(35422,plain,
% 9.06/7.01 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB51) <=> (~((~v195(constB51)) | (~v157(constB51)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB51) <=> (~((~v157(constB51)) | (~v195(constB51))))))),
% 9.06/7.01 inference(transitivity,[status(thm)],[35421, 35419])).
% 9.06/7.01 tff(35423,plain,
% 9.06/7.01 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB51) <=> (~((~v195(constB51)) | (~v157(constB51)))))),
% 9.06/7.01 inference(quant_inst,[status(thm)],[])).
% 9.06/7.01 tff(35424,plain,
% 9.06/7.01 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB51) <=> (~((~v157(constB51)) | (~v195(constB51)))))),
% 9.06/7.01 inference(modus_ponens,[status(thm)],[35423, 35422])).
% 9.06/7.01 tff(35425,plain,
% 9.06/7.01 (v194(constB51) <=> (~((~v157(constB51)) | (~v195(constB51))))),
% 9.06/7.01 inference(unit_resolution,[status(thm)],[35424, 161])).
% 9.06/7.01 tff(35426,plain,
% 9.06/7.01 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB51)) <=> v196(constB51))),
% 9.06/7.02 inference(quant_inst,[status(thm)],[])).
% 9.06/7.02 tff(35427,plain,
% 9.06/7.02 ((~v195(constB51)) <=> v196(constB51)),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35426, 193])).
% 9.06/7.02 tff(35428,plain,
% 9.06/7.02 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB51) <=> (v197(constB51) | v26(constB51)))),
% 9.06/7.02 inference(quant_inst,[status(thm)],[])).
% 9.06/7.02 tff(35429,plain,
% 9.06/7.02 (v196(constB51) <=> (v197(constB51) | v26(constB51))),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35428, 202])).
% 9.06/7.02 tff(35430,plain,
% 9.06/7.02 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB51) <=> (~((~v39(constB51)) | (~v9(constB51)))))),
% 9.06/7.02 inference(quant_inst,[status(thm)],[])).
% 9.06/7.02 tff(35431,plain,
% 9.06/7.02 (v197(constB51) <=> (~((~v39(constB51)) | (~v9(constB51))))),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35430, 120])).
% 9.06/7.02 tff(35432,plain,
% 9.06/7.02 (((~![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)))),
% 9.06/7.02 inference(rewrite,[status(thm)],[])).
% 9.06/7.02 tff(35433,plain,
% 9.06/7.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB51, constB52)) | (v13(constB52) <=> v9(constB51)))),
% 9.06/7.02 inference(quant_inst,[status(thm)],[])).
% 9.06/7.02 tff(35434,plain,
% 9.06/7.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB51, constB52)) | (v13(constB52) <=> v9(constB51))),
% 9.06/7.02 inference(modus_ponens,[status(thm)],[35433, 35432])).
% 9.06/7.02 tff(35435,plain,
% 9.06/7.02 (v13(constB52) <=> v9(constB51)),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35434, 1512, 216])).
% 9.06/7.02 tff(35436,plain,
% 9.06/7.02 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB52) <=> v13(constB52))),
% 9.06/7.02 inference(quant_inst,[status(thm)],[])).
% 9.06/7.02 tff(35437,plain,
% 9.06/7.02 (v6(constB52) <=> v13(constB52)),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35436, 230])).
% 9.06/7.02 tff(35438,plain,
% 9.06/7.02 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB52)) <=> v6(constB52))),
% 9.06/7.02 inference(quant_inst,[status(thm)],[])).
% 9.06/7.02 tff(35439,plain,
% 9.06/7.02 ((~v21(constB52)) <=> v6(constB52)),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35438, 239])).
% 9.06/7.02 tff(35440,plain,
% 9.06/7.02 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB52) <=> (v20(constB52) | v21(constB52)))),
% 9.06/7.02 inference(quant_inst,[status(thm)],[])).
% 9.06/7.02 tff(35441,plain,
% 9.06/7.02 (v19(constB52) <=> (v20(constB52) | v21(constB52))),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35440, 248])).
% 9.06/7.02 tff(35442,plain,
% 9.06/7.02 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB52) <=> (~((~v19(constB52)) | (~v22(constB52)))))),
% 9.06/7.02 inference(quant_inst,[status(thm)],[])).
% 9.06/7.02 tff(35443,plain,
% 9.06/7.02 (v18(constB52) <=> (~((~v19(constB52)) | (~v22(constB52))))),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35442, 260])).
% 9.06/7.02 tff(35444,plain,
% 9.06/7.02 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB52)) <=> v18(constB52))),
% 9.06/7.02 inference(quant_inst,[status(thm)],[])).
% 9.06/7.02 tff(35445,plain,
% 9.06/7.02 ((~v4(constB52)) <=> v18(constB52)),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35444, 269])).
% 9.06/7.02 tff(35446,plain,
% 9.06/7.02 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB52)),
% 9.06/7.02 inference(quant_inst,[status(thm)],[])).
% 9.06/7.02 tff(35447,plain,
% 9.06/7.02 (v4(constB52)),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35446, 278])).
% 9.06/7.02 tff(35448,plain,
% 9.06/7.02 ((~((~v4(constB52)) <=> v18(constB52))) | (~v4(constB52)) | (~v18(constB52))),
% 9.06/7.02 inference(tautology,[status(thm)],[])).
% 9.06/7.02 tff(35449,plain,
% 9.06/7.02 (~v18(constB52)),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35448, 35447, 35445])).
% 9.06/7.02 tff(35450,plain,
% 9.06/7.02 ((~(v18(constB52) <=> (~((~v19(constB52)) | (~v22(constB52)))))) | v18(constB52) | ((~v19(constB52)) | (~v22(constB52)))),
% 9.06/7.02 inference(tautology,[status(thm)],[])).
% 9.06/7.02 tff(35451,plain,
% 9.06/7.02 ((~v19(constB52)) | (~v22(constB52))),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35450, 35449, 35443])).
% 9.06/7.02 tff(35452,plain,
% 9.06/7.02 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB52) <=> (v1(constB52) | v6(constB52)))),
% 9.06/7.02 inference(quant_inst,[status(thm)],[])).
% 9.06/7.02 tff(35453,plain,
% 9.06/7.02 (v22(constB52) <=> (v1(constB52) | v6(constB52))),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35452, 291])).
% 9.06/7.02 tff(35454,plain,
% 9.06/7.02 ((v1(constB52) | v6(constB52)) | (~v1(constB52))),
% 9.06/7.02 inference(tautology,[status(thm)],[])).
% 9.06/7.02 tff(35455,plain,
% 9.06/7.02 (v1(constB52) | v6(constB52)),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35454, 7462])).
% 9.06/7.02 tff(35456,plain,
% 9.06/7.02 ((~(v22(constB52) <=> (v1(constB52) | v6(constB52)))) | v22(constB52) | (~(v1(constB52) | v6(constB52)))),
% 9.06/7.02 inference(tautology,[status(thm)],[])).
% 9.06/7.02 tff(35457,plain,
% 9.06/7.02 ((~(v22(constB52) <=> (v1(constB52) | v6(constB52)))) | v22(constB52)),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35456, 35455])).
% 9.06/7.02 tff(35458,plain,
% 9.06/7.02 (v22(constB52)),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35457, 35453])).
% 9.06/7.02 tff(35459,plain,
% 9.06/7.02 ((~((~v19(constB52)) | (~v22(constB52)))) | (~v19(constB52)) | (~v22(constB52))),
% 9.06/7.02 inference(tautology,[status(thm)],[])).
% 9.06/7.02 tff(35460,plain,
% 9.06/7.02 ((~((~v19(constB52)) | (~v22(constB52)))) | (~v19(constB52))),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35459, 35458])).
% 9.06/7.02 tff(35461,plain,
% 9.06/7.02 (~v19(constB52)),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35460, 35451])).
% 9.06/7.02 tff(35462,plain,
% 9.06/7.02 ((~(v19(constB52) <=> (v20(constB52) | v21(constB52)))) | v19(constB52) | (~(v20(constB52) | v21(constB52)))),
% 9.06/7.02 inference(tautology,[status(thm)],[])).
% 9.06/7.02 tff(35463,plain,
% 9.06/7.02 (~(v20(constB52) | v21(constB52))),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35462, 35461, 35441])).
% 9.06/7.02 tff(35464,plain,
% 9.06/7.02 ((v20(constB52) | v21(constB52)) | (~v21(constB52))),
% 9.06/7.02 inference(tautology,[status(thm)],[])).
% 9.06/7.02 tff(35465,plain,
% 9.06/7.02 (~v21(constB52)),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35464, 35463])).
% 9.06/7.02 tff(35466,plain,
% 9.06/7.02 ((~((~v21(constB52)) <=> v6(constB52))) | v21(constB52) | v6(constB52)),
% 9.06/7.02 inference(tautology,[status(thm)],[])).
% 9.06/7.02 tff(35467,plain,
% 9.06/7.02 (v6(constB52)),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35466, 35465, 35439])).
% 9.06/7.02 tff(35468,plain,
% 9.06/7.02 ((~(v6(constB52) <=> v13(constB52))) | (~v6(constB52)) | v13(constB52)),
% 9.06/7.02 inference(tautology,[status(thm)],[])).
% 9.06/7.02 tff(35469,plain,
% 9.06/7.02 (v13(constB52)),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35468, 35467, 35437])).
% 9.06/7.02 tff(35470,plain,
% 9.06/7.02 ((~(v13(constB52) <=> v9(constB51))) | (~v13(constB52)) | v9(constB51)),
% 9.06/7.02 inference(tautology,[status(thm)],[])).
% 9.06/7.02 tff(35471,plain,
% 9.06/7.02 (v9(constB51)),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35470, 35469, 35435])).
% 9.06/7.02 tff(35472,plain,
% 9.06/7.02 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB51)) <=> v1(constB51))),
% 9.06/7.02 inference(quant_inst,[status(thm)],[])).
% 9.06/7.02 tff(35473,plain,
% 9.06/7.02 ((~v39(constB51)) <=> v1(constB51)),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35472, 129])).
% 9.06/7.02 tff(35474,plain,
% 9.06/7.02 ((~((~v39(constB51)) <=> v1(constB51))) | v39(constB51) | v1(constB51)),
% 9.06/7.02 inference(tautology,[status(thm)],[])).
% 9.06/7.02 tff(35475,plain,
% 9.06/7.02 ((~((~v39(constB51)) <=> v1(constB51))) | v39(constB51)),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35474, 1556])).
% 9.06/7.02 tff(35476,plain,
% 9.06/7.02 (v39(constB51)),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35475, 35473])).
% 9.06/7.02 tff(35477,plain,
% 9.06/7.02 ((~((~v39(constB51)) | (~v9(constB51)))) | (~v39(constB51)) | (~v9(constB51))),
% 9.06/7.02 inference(tautology,[status(thm)],[])).
% 9.06/7.02 tff(35478,plain,
% 9.06/7.02 ((~((~v39(constB51)) | (~v9(constB51)))) | (~v9(constB51))),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35477, 35476])).
% 9.06/7.02 tff(35479,plain,
% 9.06/7.02 (~((~v39(constB51)) | (~v9(constB51)))),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35478, 35471])).
% 9.06/7.02 tff(35480,plain,
% 9.06/7.02 ((~(v197(constB51) <=> (~((~v39(constB51)) | (~v9(constB51)))))) | v197(constB51) | ((~v39(constB51)) | (~v9(constB51)))),
% 9.06/7.02 inference(tautology,[status(thm)],[])).
% 9.06/7.02 tff(35481,plain,
% 9.06/7.02 (v197(constB51)),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35480, 35479, 35431])).
% 9.06/7.02 tff(35482,plain,
% 9.06/7.02 ((v197(constB51) | v26(constB51)) | (~v197(constB51))),
% 9.06/7.02 inference(tautology,[status(thm)],[])).
% 9.06/7.02 tff(35483,plain,
% 9.06/7.02 (v197(constB51) | v26(constB51)),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35482, 35481])).
% 9.06/7.02 tff(35484,plain,
% 9.06/7.02 ((~(v196(constB51) <=> (v197(constB51) | v26(constB51)))) | v196(constB51) | (~(v197(constB51) | v26(constB51)))),
% 9.06/7.02 inference(tautology,[status(thm)],[])).
% 9.06/7.02 tff(35485,plain,
% 9.06/7.02 (v196(constB51)),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35484, 35483, 35429])).
% 9.06/7.02 tff(35486,plain,
% 9.06/7.02 ((~((~v195(constB51)) <=> v196(constB51))) | (~v195(constB51)) | (~v196(constB51))),
% 9.06/7.02 inference(tautology,[status(thm)],[])).
% 9.06/7.02 tff(35487,plain,
% 9.06/7.02 (~v195(constB51)),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35486, 35485, 35427])).
% 9.06/7.02 tff(35488,plain,
% 9.06/7.02 (((~v157(constB51)) | (~v195(constB51))) | v195(constB51)),
% 9.06/7.02 inference(tautology,[status(thm)],[])).
% 9.06/7.02 tff(35489,plain,
% 9.06/7.02 ((~v157(constB51)) | (~v195(constB51))),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35488, 35487])).
% 9.06/7.02 tff(35490,plain,
% 9.06/7.02 ((~(v194(constB51) <=> (~((~v157(constB51)) | (~v195(constB51)))))) | (~v194(constB51)) | (~((~v157(constB51)) | (~v195(constB51))))),
% 9.06/7.02 inference(tautology,[status(thm)],[])).
% 9.06/7.02 tff(35491,plain,
% 9.06/7.02 (~v194(constB51)),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35490, 35489, 35425])).
% 9.06/7.02 tff(35492,plain,
% 9.06/7.02 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB51) <=> (~((~v199(constB51)) | (~v200(constB51)))))),
% 9.06/7.02 inference(quant_inst,[status(thm)],[])).
% 9.06/7.02 tff(35493,plain,
% 9.06/7.02 (v198(constB51) <=> (~((~v199(constB51)) | (~v200(constB51))))),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35492, 96])).
% 9.06/7.02 tff(35494,plain,
% 9.06/7.02 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB51) <=> (~((~v197(constB51)) | (~v201(constB51)))))),
% 9.06/7.02 inference(quant_inst,[status(thm)],[])).
% 9.06/7.02 tff(35495,plain,
% 9.06/7.02 (v200(constB51) <=> (~((~v197(constB51)) | (~v201(constB51))))),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35494, 108])).
% 9.06/7.02 tff(35496,plain,
% 9.06/7.02 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB51) <=> (~((~v159(constB51)) | (~v161(constB51)))))),
% 9.06/7.02 inference(quant_inst,[status(thm)],[])).
% 9.06/7.02 tff(35497,plain,
% 9.06/7.02 (v201(constB51) <=> (~((~v159(constB51)) | (~v161(constB51))))),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35496, 348])).
% 9.06/7.02 tff(35498,plain,
% 9.06/7.02 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB51) <=> v163(constB51))),
% 9.06/7.02 inference(quant_inst,[status(thm)],[])).
% 9.06/7.02 tff(35499,plain,
% 9.06/7.02 (v161(constB51) <=> v163(constB51)),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35498, 357])).
% 9.06/7.02 tff(35500,plain,
% 9.06/7.02 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB51) <=> (v145(constB51) | v167(constB51)))),
% 9.06/7.02 inference(quant_inst,[status(thm)],[])).
% 9.06/7.02 tff(35501,plain,
% 9.06/7.02 (v166(constB51) <=> (v145(constB51) | v167(constB51))),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35500, 369])).
% 9.06/7.02 tff(35502,plain,
% 9.06/7.02 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB51) <=> (v142(constB51) | v168(constB51)))),
% 9.06/7.02 inference(quant_inst,[status(thm)],[])).
% 9.06/7.02 tff(35503,plain,
% 9.06/7.02 (v167(constB51) <=> (v142(constB51) | v168(constB51))),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35502, 381])).
% 9.06/7.02 tff(35504,plain,
% 9.06/7.02 ((~![VarCurr: $i] : (v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr)))) | (v168(constB51) <=> (v141(constB51) | v169(constB51)))),
% 9.06/7.02 inference(quant_inst,[status(thm)],[])).
% 9.06/7.02 tff(35505,plain,
% 9.06/7.02 (v168(constB51) <=> (v141(constB51) | v169(constB51))),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35504, 393])).
% 9.06/7.02 tff(35506,plain,
% 9.06/7.02 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB51) <=> (~((~v88(constB51, bitIndex1)) | v88(constB51, bitIndex2) | (~v88(constB51, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB51) <=> (~((~v88(constB51, bitIndex1)) | v88(constB51, bitIndex2) | (~v88(constB51, bitIndex0))))))),
% 9.06/7.02 inference(rewrite,[status(thm)],[])).
% 9.06/7.02 tff(35507,plain,
% 9.06/7.02 ((v141(constB51) <=> (~(v88(constB51, bitIndex2) | (~v88(constB51, bitIndex1)) | (~v88(constB51, bitIndex0))))) <=> (v141(constB51) <=> (~((~v88(constB51, bitIndex1)) | v88(constB51, bitIndex2) | (~v88(constB51, bitIndex0)))))),
% 9.06/7.02 inference(rewrite,[status(thm)],[])).
% 9.06/7.02 tff(35508,plain,
% 9.06/7.02 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB51) <=> (~(v88(constB51, bitIndex2) | (~v88(constB51, bitIndex1)) | (~v88(constB51, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB51) <=> (~((~v88(constB51, bitIndex1)) | v88(constB51, bitIndex2) | (~v88(constB51, bitIndex0))))))),
% 9.06/7.02 inference(monotonicity,[status(thm)],[35507])).
% 9.06/7.02 tff(35509,plain,
% 9.06/7.02 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB51) <=> (~(v88(constB51, bitIndex2) | (~v88(constB51, bitIndex1)) | (~v88(constB51, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB51) <=> (~((~v88(constB51, bitIndex1)) | v88(constB51, bitIndex2) | (~v88(constB51, bitIndex0))))))),
% 9.06/7.02 inference(transitivity,[status(thm)],[35508, 35506])).
% 9.06/7.02 tff(35510,plain,
% 9.06/7.02 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB51) <=> (~(v88(constB51, bitIndex2) | (~v88(constB51, bitIndex1)) | (~v88(constB51, bitIndex0)))))),
% 9.06/7.02 inference(quant_inst,[status(thm)],[])).
% 9.06/7.02 tff(35511,plain,
% 9.06/7.02 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB51) <=> (~((~v88(constB51, bitIndex1)) | v88(constB51, bitIndex2) | (~v88(constB51, bitIndex0)))))),
% 9.06/7.02 inference(modus_ponens,[status(thm)],[35510, 35509])).
% 9.06/7.02 tff(35512,plain,
% 9.06/7.02 (v141(constB51) <=> (~((~v88(constB51, bitIndex1)) | v88(constB51, bitIndex2) | (~v88(constB51, bitIndex0))))),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35511, 408])).
% 9.06/7.02 tff(35513,plain,
% 9.06/7.02 ((~![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))) | (~(((~v88(constB51, bitIndex1)) <=> v90(constB51, bitIndex1)) | ((~v88(constB51, bitIndex2)) <=> v90(constB51, bitIndex2)) | ((~v88(constB51, bitIndex0)) <=> v90(constB51, bitIndex0))))),
% 9.06/7.02 inference(quant_inst,[status(thm)],[])).
% 9.06/7.02 tff(35514,plain,
% 9.06/7.02 (~(((~v88(constB51, bitIndex1)) <=> v90(constB51, bitIndex1)) | ((~v88(constB51, bitIndex2)) <=> v90(constB51, bitIndex2)) | ((~v88(constB51, bitIndex0)) <=> v90(constB51, bitIndex0)))),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35513, 428])).
% 9.06/7.02 tff(35515,plain,
% 9.06/7.02 ((((~v88(constB51, bitIndex1)) <=> v90(constB51, bitIndex1)) | ((~v88(constB51, bitIndex2)) <=> v90(constB51, bitIndex2)) | ((~v88(constB51, bitIndex0)) <=> v90(constB51, bitIndex0))) | (~((~v88(constB51, bitIndex2)) <=> v90(constB51, bitIndex2)))),
% 9.06/7.02 inference(tautology,[status(thm)],[])).
% 9.06/7.02 tff(35516,plain,
% 9.06/7.02 (~((~v88(constB51, bitIndex2)) <=> v90(constB51, bitIndex2))),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35515, 35514])).
% 9.06/7.02 tff(35517,plain,
% 9.06/7.02 (((~v88(constB51, bitIndex2)) <=> v90(constB51, bitIndex2)) | (~v88(constB51, bitIndex2)) | v90(constB51, bitIndex2)),
% 9.06/7.02 inference(tautology,[status(thm)],[])).
% 9.06/7.02 tff(35518,plain,
% 9.06/7.02 (~v88(constB51, bitIndex2)),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35517, 7381, 35516])).
% 9.06/7.02 tff(35519,plain,
% 9.06/7.02 ((((~v88(constB51, bitIndex1)) <=> v90(constB51, bitIndex1)) | ((~v88(constB51, bitIndex2)) <=> v90(constB51, bitIndex2)) | ((~v88(constB51, bitIndex0)) <=> v90(constB51, bitIndex0))) | (~((~v88(constB51, bitIndex0)) <=> v90(constB51, bitIndex0)))),
% 9.06/7.02 inference(tautology,[status(thm)],[])).
% 9.06/7.02 tff(35520,plain,
% 9.06/7.02 (~((~v88(constB51, bitIndex0)) <=> v90(constB51, bitIndex0))),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35519, 35514])).
% 9.06/7.02 tff(35521,plain,
% 9.06/7.02 (((~v88(constB51, bitIndex0)) <=> v90(constB51, bitIndex0)) | v88(constB51, bitIndex0) | (~v90(constB51, bitIndex0))),
% 9.06/7.02 inference(tautology,[status(thm)],[])).
% 9.06/7.02 tff(35522,plain,
% 9.06/7.02 (v88(constB51, bitIndex0)),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35521, 7399, 35520])).
% 9.06/7.02 tff(35523,plain,
% 9.06/7.02 ((((~v88(constB51, bitIndex1)) <=> v90(constB51, bitIndex1)) | ((~v88(constB51, bitIndex2)) <=> v90(constB51, bitIndex2)) | ((~v88(constB51, bitIndex0)) <=> v90(constB51, bitIndex0))) | (~((~v88(constB51, bitIndex1)) <=> v90(constB51, bitIndex1)))),
% 9.06/7.02 inference(tautology,[status(thm)],[])).
% 9.06/7.02 tff(35524,plain,
% 9.06/7.02 (~((~v88(constB51, bitIndex1)) <=> v90(constB51, bitIndex1))),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35523, 35514])).
% 9.06/7.02 tff(35525,plain,
% 9.06/7.02 (((~v88(constB51, bitIndex1)) <=> v90(constB51, bitIndex1)) | v88(constB51, bitIndex1) | (~v90(constB51, bitIndex1))),
% 9.06/7.02 inference(tautology,[status(thm)],[])).
% 9.06/7.02 tff(35526,plain,
% 9.06/7.02 (v88(constB51, bitIndex1)),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35525, 7417, 35524])).
% 9.06/7.02 tff(35527,plain,
% 9.06/7.02 ((~((~v88(constB51, bitIndex1)) | v88(constB51, bitIndex2) | (~v88(constB51, bitIndex0)))) | (~v88(constB51, bitIndex1)) | v88(constB51, bitIndex2) | (~v88(constB51, bitIndex0))),
% 9.06/7.02 inference(tautology,[status(thm)],[])).
% 9.06/7.02 tff(35528,plain,
% 9.06/7.02 (~((~v88(constB51, bitIndex1)) | v88(constB51, bitIndex2) | (~v88(constB51, bitIndex0)))),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35527, 35526, 35522, 35518])).
% 9.06/7.02 tff(35529,plain,
% 9.06/7.02 ((~(v141(constB51) <=> (~((~v88(constB51, bitIndex1)) | v88(constB51, bitIndex2) | (~v88(constB51, bitIndex0)))))) | v141(constB51) | ((~v88(constB51, bitIndex1)) | v88(constB51, bitIndex2) | (~v88(constB51, bitIndex0)))),
% 9.06/7.02 inference(tautology,[status(thm)],[])).
% 9.06/7.02 tff(35530,plain,
% 9.06/7.02 (v141(constB51)),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35529, 35528, 35512])).
% 9.06/7.02 tff(35531,plain,
% 9.06/7.02 ((v141(constB51) | v169(constB51)) | (~v141(constB51))),
% 9.06/7.02 inference(tautology,[status(thm)],[])).
% 9.06/7.02 tff(35532,plain,
% 9.06/7.02 (v141(constB51) | v169(constB51)),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35531, 35530])).
% 9.06/7.02 tff(35533,plain,
% 9.06/7.02 ((~(v168(constB51) <=> (v141(constB51) | v169(constB51)))) | v168(constB51) | (~(v141(constB51) | v169(constB51)))),
% 9.06/7.02 inference(tautology,[status(thm)],[])).
% 9.06/7.02 tff(35534,plain,
% 9.06/7.02 (v168(constB51)),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35533, 35532, 35505])).
% 9.06/7.02 tff(35535,plain,
% 9.06/7.02 ((v142(constB51) | v168(constB51)) | (~v168(constB51))),
% 9.06/7.02 inference(tautology,[status(thm)],[])).
% 9.06/7.02 tff(35536,plain,
% 9.06/7.02 (v142(constB51) | v168(constB51)),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35535, 35534])).
% 9.06/7.02 tff(35537,plain,
% 9.06/7.02 ((~(v167(constB51) <=> (v142(constB51) | v168(constB51)))) | v167(constB51) | (~(v142(constB51) | v168(constB51)))),
% 9.06/7.02 inference(tautology,[status(thm)],[])).
% 9.06/7.02 tff(35538,plain,
% 9.06/7.02 ((~(v167(constB51) <=> (v142(constB51) | v168(constB51)))) | v167(constB51)),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35537, 35536])).
% 9.06/7.02 tff(35539,plain,
% 9.06/7.02 (v167(constB51)),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35538, 35503])).
% 9.06/7.02 tff(35540,plain,
% 9.06/7.02 ((v145(constB51) | v167(constB51)) | (~v167(constB51))),
% 9.06/7.02 inference(tautology,[status(thm)],[])).
% 9.06/7.02 tff(35541,plain,
% 9.06/7.02 (v145(constB51) | v167(constB51)),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35540, 35539])).
% 9.06/7.02 tff(35542,plain,
% 9.06/7.02 ((~(v166(constB51) <=> (v145(constB51) | v167(constB51)))) | v166(constB51) | (~(v145(constB51) | v167(constB51)))),
% 9.06/7.02 inference(tautology,[status(thm)],[])).
% 9.06/7.02 tff(35543,plain,
% 9.06/7.02 (v166(constB51)),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35542, 35541, 35501])).
% 9.06/7.02 tff(35544,plain,
% 9.06/7.02 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB51)) | (v163(constB51) <=> v170(constB51)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB51)) | (v163(constB51) <=> v170(constB51)))),
% 9.06/7.02 inference(rewrite,[status(thm)],[])).
% 9.06/7.02 tff(35545,plain,
% 9.06/7.02 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB51)) | (v163(constB51) <=> v170(constB51)))),
% 9.06/7.02 inference(quant_inst,[status(thm)],[])).
% 9.06/7.02 tff(35546,plain,
% 9.06/7.02 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB51)) | (v163(constB51) <=> v170(constB51))),
% 9.06/7.02 inference(modus_ponens,[status(thm)],[35545, 35544])).
% 9.06/7.02 tff(35547,plain,
% 9.06/7.02 ((~v166(constB51)) | (v163(constB51) <=> v170(constB51))),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35546, 9851])).
% 9.06/7.02 tff(35548,plain,
% 9.06/7.02 (v163(constB51) <=> v170(constB51)),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35547, 35543])).
% 9.06/7.02 tff(35549,plain,
% 9.06/7.02 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB51) <=> (v142(constB51) | v150(constB51)))),
% 9.06/7.02 inference(quant_inst,[status(thm)],[])).
% 9.06/7.02 tff(35550,plain,
% 9.06/7.02 (v171(constB51) <=> (v142(constB51) | v150(constB51))),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35549, 9866])).
% 9.06/7.02 tff(35551,plain,
% 9.06/7.02 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v141(VarCurr) | v151(VarCurr)))) | (v150(constB51) <=> (v141(constB51) | v151(constB51)))),
% 9.06/7.02 inference(quant_inst,[status(thm)],[])).
% 9.06/7.02 tff(35552,plain,
% 9.06/7.02 (v150(constB51) <=> (v141(constB51) | v151(constB51))),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35551, 9878])).
% 9.06/7.02 tff(35553,plain,
% 9.06/7.02 ((v141(constB51) | v151(constB51)) | (~v141(constB51))),
% 9.06/7.02 inference(tautology,[status(thm)],[])).
% 9.06/7.02 tff(35554,plain,
% 9.06/7.02 (v141(constB51) | v151(constB51)),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35553, 35530])).
% 9.06/7.02 tff(35555,plain,
% 9.06/7.02 ((~(v150(constB51) <=> (v141(constB51) | v151(constB51)))) | v150(constB51) | (~(v141(constB51) | v151(constB51)))),
% 9.06/7.02 inference(tautology,[status(thm)],[])).
% 9.06/7.02 tff(35556,plain,
% 9.06/7.02 (v150(constB51)),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35555, 35554, 35552])).
% 9.06/7.02 tff(35557,plain,
% 9.06/7.02 ((v142(constB51) | v150(constB51)) | (~v150(constB51))),
% 9.06/7.02 inference(tautology,[status(thm)],[])).
% 9.06/7.02 tff(35558,plain,
% 9.06/7.02 (v142(constB51) | v150(constB51)),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35557, 35556])).
% 9.06/7.02 tff(35559,plain,
% 9.06/7.02 ((~(v171(constB51) <=> (v142(constB51) | v150(constB51)))) | v171(constB51) | (~(v142(constB51) | v150(constB51)))),
% 9.06/7.02 inference(tautology,[status(thm)],[])).
% 9.06/7.02 tff(35560,plain,
% 9.06/7.02 ((~(v171(constB51) <=> (v142(constB51) | v150(constB51)))) | v171(constB51)),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35559, 35558])).
% 9.06/7.02 tff(35561,plain,
% 9.06/7.02 (v171(constB51)),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35560, 35550])).
% 9.06/7.02 tff(35562,plain,
% 9.06/7.02 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB51)) | (~v171(constB51)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB51)) | (~v171(constB51)))),
% 9.06/7.02 inference(rewrite,[status(thm)],[])).
% 9.06/7.02 tff(35563,plain,
% 9.06/7.02 (((~v171(constB51)) | (~v170(constB51))) <=> ((~v170(constB51)) | (~v171(constB51)))),
% 9.06/7.02 inference(rewrite,[status(thm)],[])).
% 9.06/7.02 tff(35564,plain,
% 9.06/7.02 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB51)) | (~v170(constB51)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB51)) | (~v171(constB51))))),
% 9.06/7.02 inference(monotonicity,[status(thm)],[35563])).
% 9.06/7.02 tff(35565,plain,
% 9.06/7.02 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB51)) | (~v170(constB51)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB51)) | (~v171(constB51)))),
% 9.06/7.02 inference(transitivity,[status(thm)],[35564, 35562])).
% 9.06/7.02 tff(35566,plain,
% 9.06/7.02 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB51)) | (~v170(constB51)))),
% 9.06/7.02 inference(quant_inst,[status(thm)],[])).
% 9.06/7.02 tff(35567,plain,
% 9.06/7.02 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB51)) | (~v171(constB51))),
% 9.06/7.02 inference(modus_ponens,[status(thm)],[35566, 35565])).
% 9.06/7.02 tff(35568,plain,
% 9.06/7.02 (~v170(constB51)),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35567, 9899, 35561])).
% 9.06/7.02 tff(35569,plain,
% 9.06/7.02 ((~(v163(constB51) <=> v170(constB51))) | (~v163(constB51)) | v170(constB51)),
% 9.06/7.02 inference(tautology,[status(thm)],[])).
% 9.06/7.02 tff(35570,plain,
% 9.06/7.02 (~v163(constB51)),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35569, 35568, 35548])).
% 9.06/7.02 tff(35571,plain,
% 9.06/7.02 ((~(v161(constB51) <=> v163(constB51))) | (~v161(constB51)) | v163(constB51)),
% 9.06/7.02 inference(tautology,[status(thm)],[])).
% 9.06/7.02 tff(35572,plain,
% 9.06/7.02 (~v161(constB51)),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35571, 35570, 35499])).
% 9.06/7.02 tff(35573,plain,
% 9.06/7.02 (((~v159(constB51)) | (~v161(constB51))) | v161(constB51)),
% 9.06/7.02 inference(tautology,[status(thm)],[])).
% 9.06/7.02 tff(35574,plain,
% 9.06/7.02 ((~v159(constB51)) | (~v161(constB51))),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35573, 35572])).
% 9.06/7.02 tff(35575,plain,
% 9.06/7.02 ((~(v201(constB51) <=> (~((~v159(constB51)) | (~v161(constB51)))))) | (~v201(constB51)) | (~((~v159(constB51)) | (~v161(constB51))))),
% 9.06/7.02 inference(tautology,[status(thm)],[])).
% 9.06/7.02 tff(35576,plain,
% 9.06/7.02 (~v201(constB51)),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35575, 35574, 35497])).
% 9.06/7.02 tff(35577,plain,
% 9.06/7.02 (((~v197(constB51)) | (~v201(constB51))) | v201(constB51)),
% 9.06/7.02 inference(tautology,[status(thm)],[])).
% 9.06/7.02 tff(35578,plain,
% 9.06/7.02 ((~v197(constB51)) | (~v201(constB51))),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35577, 35576])).
% 9.06/7.02 tff(35579,plain,
% 9.06/7.02 ((~(v200(constB51) <=> (~((~v197(constB51)) | (~v201(constB51)))))) | (~v200(constB51)) | (~((~v197(constB51)) | (~v201(constB51))))),
% 9.06/7.02 inference(tautology,[status(thm)],[])).
% 9.06/7.02 tff(35580,plain,
% 9.06/7.02 (~v200(constB51)),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35579, 35578, 35495])).
% 9.06/7.02 tff(35581,plain,
% 9.06/7.02 (((~v199(constB51)) | (~v200(constB51))) | v200(constB51)),
% 9.06/7.02 inference(tautology,[status(thm)],[])).
% 9.06/7.02 tff(35582,plain,
% 9.06/7.02 ((~v199(constB51)) | (~v200(constB51))),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35581, 35580])).
% 9.06/7.02 tff(35583,plain,
% 9.06/7.02 ((~(v198(constB51) <=> (~((~v199(constB51)) | (~v200(constB51)))))) | (~v198(constB51)) | (~((~v199(constB51)) | (~v200(constB51))))),
% 9.06/7.02 inference(tautology,[status(thm)],[])).
% 9.06/7.02 tff(35584,plain,
% 9.06/7.02 (~v198(constB51)),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35583, 35582, 35493])).
% 9.06/7.02 tff(35585,plain,
% 9.06/7.02 ((~(v194(constB51) | v198(constB51))) | v194(constB51) | v198(constB51)),
% 9.06/7.02 inference(tautology,[status(thm)],[])).
% 9.06/7.02 tff(35586,plain,
% 9.06/7.02 (~(v194(constB51) | v198(constB51))),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35585, 35584, 35491])).
% 9.06/7.02 tff(35587,plain,
% 9.06/7.02 ((~(v191(constB51) <=> (v194(constB51) | v198(constB51)))) | (~v191(constB51)) | (v194(constB51) | v198(constB51))),
% 9.06/7.02 inference(tautology,[status(thm)],[])).
% 9.06/7.02 tff(35588,plain,
% 9.06/7.02 (~v191(constB51)),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35587, 35586, 35418])).
% 9.06/7.02 tff(35589,plain,
% 9.06/7.02 ((~(v193(constB52) <=> v191(constB51))) | (~v193(constB52)) | v191(constB51)),
% 9.06/7.02 inference(tautology,[status(thm)],[])).
% 9.06/7.02 tff(35590,plain,
% 9.06/7.02 (~v193(constB52)),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35589, 35588, 35416])).
% 9.06/7.02 tff(35591,plain,
% 9.06/7.02 ((~(v157(constB52) <=> v193(constB52))) | (~v157(constB52)) | v193(constB52)),
% 9.06/7.02 inference(tautology,[status(thm)],[])).
% 9.06/7.02 tff(35592,plain,
% 9.06/7.02 (~v157(constB52)),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35591, 35590, 35412])).
% 9.06/7.02 tff(35593,plain,
% 9.06/7.02 (((~v157(constB52)) | (~v195(constB52))) | v157(constB52)),
% 9.06/7.02 inference(tautology,[status(thm)],[])).
% 9.06/7.02 tff(35594,plain,
% 9.06/7.02 ((~v157(constB52)) | (~v195(constB52))),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35593, 35592])).
% 9.06/7.02 tff(35595,plain,
% 9.06/7.02 ((~(v194(constB52) <=> (~((~v157(constB52)) | (~v195(constB52)))))) | (~v194(constB52)) | (~((~v157(constB52)) | (~v195(constB52))))),
% 9.06/7.02 inference(tautology,[status(thm)],[])).
% 9.06/7.02 tff(35596,plain,
% 9.06/7.02 (~v194(constB52)),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35595, 35594, 35410])).
% 9.06/7.02 tff(35597,plain,
% 9.06/7.02 ((~(v194(constB52) | v198(constB52))) | v194(constB52) | v198(constB52)),
% 9.06/7.02 inference(tautology,[status(thm)],[])).
% 9.06/7.02 tff(35598,plain,
% 9.06/7.02 (~(v194(constB52) | v198(constB52))),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35597, 35596, 35403])).
% 9.06/7.02 tff(35599,plain,
% 9.06/7.02 ((~(v191(constB52) <=> (v194(constB52) | v198(constB52)))) | (~v191(constB52)) | (v194(constB52) | v198(constB52))),
% 9.06/7.02 inference(tautology,[status(thm)],[])).
% 9.06/7.02 tff(35600,plain,
% 9.06/7.02 (~v191(constB52)),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35599, 35598, 35378])).
% 9.06/7.02 tff(35601,plain,
% 9.06/7.02 ((~(v193(constB53) <=> v191(constB52))) | (~v193(constB53)) | v191(constB52)),
% 9.06/7.02 inference(tautology,[status(thm)],[])).
% 9.06/7.02 tff(35602,plain,
% 9.06/7.02 (~v193(constB53)),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35601, 35600, 35376])).
% 9.06/7.02 tff(35603,plain,
% 9.06/7.02 ($false),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35602, 35372])).
% 9.06/7.02 tff(35604,plain,(~(constB53 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.06/7.02 tff(35605,assumption,(constB7 = VarCurr!0), introduced(assumption)).
% 9.06/7.02 tff(35606,plain,
% 9.06/7.02 (v193(constB7) <=> v193(VarCurr!0)),
% 9.06/7.02 inference(monotonicity,[status(thm)],[35605])).
% 9.06/7.02 tff(35607,plain,
% 9.06/7.02 (v193(VarCurr!0) <=> v193(constB7)),
% 9.06/7.02 inference(symmetry,[status(thm)],[35606])).
% 9.06/7.02 tff(35608,plain,
% 9.06/7.02 (v193(constB7)),
% 9.06/7.02 inference(modus_ponens,[status(thm)],[59, 35607])).
% 9.06/7.02 tff(35609,plain,
% 9.06/7.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB6, constB7)) | (v193(constB7) <=> v191(constB6)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB6, constB7)) | (v193(constB7) <=> v191(constB6)))),
% 9.06/7.02 inference(rewrite,[status(thm)],[])).
% 9.06/7.02 tff(35610,plain,
% 9.06/7.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB6, constB7)) | (v193(constB7) <=> v191(constB6)))),
% 9.06/7.02 inference(quant_inst,[status(thm)],[])).
% 9.06/7.02 tff(35611,plain,
% 9.06/7.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB6, constB7)) | (v193(constB7) <=> v191(constB6))),
% 9.06/7.02 inference(modus_ponens,[status(thm)],[35610, 35609])).
% 9.06/7.02 tff(35612,plain,
% 9.06/7.02 (v193(constB7) <=> v191(constB6)),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35611, 2949, 70])).
% 9.06/7.02 tff(35613,plain,
% 9.06/7.02 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB6) <=> (v194(constB6) | v198(constB6)))),
% 9.06/7.02 inference(quant_inst,[status(thm)],[])).
% 9.06/7.02 tff(35614,plain,
% 9.06/7.02 (v191(constB6) <=> (v194(constB6) | v198(constB6))),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35613, 84])).
% 9.06/7.02 tff(35615,plain,
% 9.06/7.02 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB6) <=> (~((~v199(constB6)) | (~v200(constB6)))))),
% 9.06/7.02 inference(quant_inst,[status(thm)],[])).
% 9.06/7.02 tff(35616,plain,
% 9.06/7.02 (v198(constB6) <=> (~((~v199(constB6)) | (~v200(constB6))))),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35615, 96])).
% 9.06/7.02 tff(35617,plain,
% 9.06/7.02 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB6) <=> (~((~v197(constB6)) | (~v201(constB6)))))),
% 9.06/7.02 inference(quant_inst,[status(thm)],[])).
% 9.06/7.02 tff(35618,plain,
% 9.06/7.02 (v200(constB6) <=> (~((~v197(constB6)) | (~v201(constB6))))),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35617, 108])).
% 9.06/7.02 tff(35619,plain,
% 9.06/7.02 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB6) <=> (~((~v39(constB6)) | (~v9(constB6)))))),
% 9.06/7.02 inference(quant_inst,[status(thm)],[])).
% 9.06/7.02 tff(35620,plain,
% 9.06/7.02 (v197(constB6) <=> (~((~v39(constB6)) | (~v9(constB6))))),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35619, 120])).
% 9.06/7.02 tff(35621,plain,
% 9.06/7.02 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB6)) <=> v1(constB6))),
% 9.06/7.02 inference(quant_inst,[status(thm)],[])).
% 9.06/7.02 tff(35622,plain,
% 9.06/7.02 ((~v39(constB6)) <=> v1(constB6)),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35621, 129])).
% 9.06/7.02 tff(35623,plain,
% 9.06/7.02 ((~((~v39(constB6)) <=> v1(constB6))) | (~v39(constB6)) | (~v1(constB6))),
% 9.06/7.02 inference(tautology,[status(thm)],[])).
% 9.06/7.02 tff(35624,plain,
% 9.06/7.02 ((~((~v39(constB6)) <=> v1(constB6))) | (~v39(constB6))),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35623, 3738])).
% 9.06/7.02 tff(35625,plain,
% 9.06/7.02 (~v39(constB6)),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35624, 35622])).
% 9.06/7.02 tff(35626,plain,
% 9.06/7.02 (((~v39(constB6)) | (~v9(constB6))) | v39(constB6)),
% 9.06/7.02 inference(tautology,[status(thm)],[])).
% 9.06/7.02 tff(35627,plain,
% 9.06/7.02 ((~v39(constB6)) | (~v9(constB6))),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35626, 35625])).
% 9.06/7.02 tff(35628,plain,
% 9.06/7.02 ((~(v197(constB6) <=> (~((~v39(constB6)) | (~v9(constB6)))))) | (~v197(constB6)) | (~((~v39(constB6)) | (~v9(constB6))))),
% 9.06/7.02 inference(tautology,[status(thm)],[])).
% 9.06/7.02 tff(35629,plain,
% 9.06/7.02 ((~(v197(constB6) <=> (~((~v39(constB6)) | (~v9(constB6)))))) | (~v197(constB6))),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35628, 35627])).
% 9.06/7.02 tff(35630,plain,
% 9.06/7.02 (~v197(constB6)),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35629, 35620])).
% 9.06/7.02 tff(35631,plain,
% 9.06/7.02 (((~v197(constB6)) | (~v201(constB6))) | v197(constB6)),
% 9.06/7.02 inference(tautology,[status(thm)],[])).
% 9.06/7.02 tff(35632,plain,
% 9.06/7.02 ((~v197(constB6)) | (~v201(constB6))),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35631, 35630])).
% 9.06/7.02 tff(35633,plain,
% 9.06/7.02 ((~(v200(constB6) <=> (~((~v197(constB6)) | (~v201(constB6)))))) | (~v200(constB6)) | (~((~v197(constB6)) | (~v201(constB6))))),
% 9.06/7.02 inference(tautology,[status(thm)],[])).
% 9.06/7.02 tff(35634,plain,
% 9.06/7.02 ((~(v200(constB6) <=> (~((~v197(constB6)) | (~v201(constB6)))))) | (~v200(constB6))),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35633, 35632])).
% 9.06/7.02 tff(35635,plain,
% 9.06/7.02 (~v200(constB6)),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35634, 35618])).
% 9.06/7.02 tff(35636,plain,
% 9.06/7.02 (((~v199(constB6)) | (~v200(constB6))) | v200(constB6)),
% 9.06/7.02 inference(tautology,[status(thm)],[])).
% 9.06/7.02 tff(35637,plain,
% 9.06/7.02 ((~v199(constB6)) | (~v200(constB6))),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35636, 35635])).
% 9.06/7.02 tff(35638,plain,
% 9.06/7.02 ((~(v198(constB6) <=> (~((~v199(constB6)) | (~v200(constB6)))))) | (~v198(constB6)) | (~((~v199(constB6)) | (~v200(constB6))))),
% 9.06/7.02 inference(tautology,[status(thm)],[])).
% 9.06/7.02 tff(35639,plain,
% 9.06/7.02 (~v198(constB6)),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35638, 35637, 35616])).
% 9.06/7.02 tff(35640,plain,
% 9.06/7.02 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB6) <=> (~((~v157(constB6)) | (~v195(constB6)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB6) <=> (~((~v157(constB6)) | (~v195(constB6))))))),
% 9.06/7.02 inference(rewrite,[status(thm)],[])).
% 9.06/7.02 tff(35641,plain,
% 9.06/7.02 ((v194(constB6) <=> (~((~v195(constB6)) | (~v157(constB6))))) <=> (v194(constB6) <=> (~((~v157(constB6)) | (~v195(constB6)))))),
% 9.06/7.02 inference(rewrite,[status(thm)],[])).
% 9.06/7.02 tff(35642,plain,
% 9.06/7.02 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB6) <=> (~((~v195(constB6)) | (~v157(constB6)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB6) <=> (~((~v157(constB6)) | (~v195(constB6))))))),
% 9.06/7.02 inference(monotonicity,[status(thm)],[35641])).
% 9.06/7.02 tff(35643,plain,
% 9.06/7.02 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB6) <=> (~((~v195(constB6)) | (~v157(constB6)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB6) <=> (~((~v157(constB6)) | (~v195(constB6))))))),
% 9.06/7.02 inference(transitivity,[status(thm)],[35642, 35640])).
% 9.06/7.02 tff(35644,plain,
% 9.06/7.02 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB6) <=> (~((~v195(constB6)) | (~v157(constB6)))))),
% 9.06/7.02 inference(quant_inst,[status(thm)],[])).
% 9.06/7.02 tff(35645,plain,
% 9.06/7.02 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB6) <=> (~((~v157(constB6)) | (~v195(constB6)))))),
% 9.06/7.02 inference(modus_ponens,[status(thm)],[35644, 35643])).
% 9.06/7.02 tff(35646,plain,
% 9.06/7.02 (v194(constB6) <=> (~((~v157(constB6)) | (~v195(constB6))))),
% 9.06/7.02 inference(unit_resolution,[status(thm)],[35645, 161])).
% 9.06/7.02 tff(35647,plain,
% 9.06/7.02 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB6) <=> v193(constB6))),
% 9.06/7.02 inference(quant_inst,[status(thm)],[])).
% 9.06/7.03 tff(35648,plain,
% 9.06/7.03 (v157(constB6) <=> v193(constB6)),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35647, 13])).
% 9.06/7.03 tff(35649,plain,
% 9.06/7.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB5, constB6)) | (v193(constB6) <=> v191(constB5)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB5, constB6)) | (v193(constB6) <=> v191(constB5)))),
% 9.06/7.03 inference(rewrite,[status(thm)],[])).
% 9.06/7.03 tff(35650,plain,
% 9.06/7.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB5, constB6)) | (v193(constB6) <=> v191(constB5)))),
% 9.06/7.03 inference(quant_inst,[status(thm)],[])).
% 9.06/7.03 tff(35651,plain,
% 9.06/7.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB5, constB6)) | (v193(constB6) <=> v191(constB5))),
% 9.06/7.03 inference(modus_ponens,[status(thm)],[35650, 35649])).
% 9.06/7.03 tff(35652,plain,
% 9.06/7.03 (v193(constB6) <=> v191(constB5)),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35651, 2985, 70])).
% 9.06/7.03 tff(35653,plain,
% 9.06/7.03 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB5) <=> (v194(constB5) | v198(constB5)))),
% 9.06/7.03 inference(quant_inst,[status(thm)],[])).
% 9.06/7.03 tff(35654,plain,
% 9.06/7.03 (v191(constB5) <=> (v194(constB5) | v198(constB5))),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35653, 84])).
% 9.06/7.03 tff(35655,plain,
% 9.06/7.03 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB5) <=> (~((~v157(constB5)) | (~v195(constB5)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB5) <=> (~((~v157(constB5)) | (~v195(constB5))))))),
% 9.06/7.03 inference(rewrite,[status(thm)],[])).
% 9.06/7.03 tff(35656,plain,
% 9.06/7.03 ((v194(constB5) <=> (~((~v195(constB5)) | (~v157(constB5))))) <=> (v194(constB5) <=> (~((~v157(constB5)) | (~v195(constB5)))))),
% 9.06/7.03 inference(rewrite,[status(thm)],[])).
% 9.06/7.03 tff(35657,plain,
% 9.06/7.03 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB5) <=> (~((~v195(constB5)) | (~v157(constB5)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB5) <=> (~((~v157(constB5)) | (~v195(constB5))))))),
% 9.06/7.03 inference(monotonicity,[status(thm)],[35656])).
% 9.06/7.03 tff(35658,plain,
% 9.06/7.03 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB5) <=> (~((~v195(constB5)) | (~v157(constB5)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB5) <=> (~((~v157(constB5)) | (~v195(constB5))))))),
% 9.06/7.03 inference(transitivity,[status(thm)],[35657, 35655])).
% 9.06/7.03 tff(35659,plain,
% 9.06/7.03 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB5) <=> (~((~v195(constB5)) | (~v157(constB5)))))),
% 9.06/7.03 inference(quant_inst,[status(thm)],[])).
% 9.06/7.03 tff(35660,plain,
% 9.06/7.03 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB5) <=> (~((~v157(constB5)) | (~v195(constB5)))))),
% 9.06/7.03 inference(modus_ponens,[status(thm)],[35659, 35658])).
% 9.06/7.03 tff(35661,plain,
% 9.06/7.03 (v194(constB5) <=> (~((~v157(constB5)) | (~v195(constB5))))),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35660, 161])).
% 9.06/7.03 tff(35662,plain,
% 9.06/7.03 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB5)) <=> v196(constB5))),
% 9.06/7.03 inference(quant_inst,[status(thm)],[])).
% 9.06/7.03 tff(35663,plain,
% 9.06/7.03 ((~v195(constB5)) <=> v196(constB5)),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35662, 193])).
% 9.06/7.03 tff(35664,plain,
% 9.06/7.03 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB5) <=> (v197(constB5) | v26(constB5)))),
% 9.06/7.03 inference(quant_inst,[status(thm)],[])).
% 9.06/7.03 tff(35665,plain,
% 9.06/7.03 (v196(constB5) <=> (v197(constB5) | v26(constB5))),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35664, 202])).
% 9.06/7.03 tff(35666,plain,
% 9.06/7.03 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB5) <=> (~((~v39(constB5)) | (~v9(constB5)))))),
% 9.06/7.03 inference(quant_inst,[status(thm)],[])).
% 9.06/7.03 tff(35667,plain,
% 9.06/7.03 (v197(constB5) <=> (~((~v39(constB5)) | (~v9(constB5))))),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35666, 120])).
% 9.06/7.03 tff(35668,plain,
% 9.06/7.03 (((~![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)))),
% 9.06/7.03 inference(rewrite,[status(thm)],[])).
% 9.06/7.03 tff(35669,plain,
% 9.06/7.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB5, constB6)) | (v13(constB6) <=> v9(constB5)))),
% 9.06/7.03 inference(quant_inst,[status(thm)],[])).
% 9.06/7.03 tff(35670,plain,
% 9.06/7.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB5, constB6)) | (v13(constB6) <=> v9(constB5))),
% 9.06/7.03 inference(modus_ponens,[status(thm)],[35669, 35668])).
% 9.06/7.03 tff(35671,plain,
% 9.06/7.03 (v13(constB6) <=> v9(constB5)),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35670, 2985, 216])).
% 9.06/7.03 tff(35672,plain,
% 9.06/7.03 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB6) <=> v13(constB6))),
% 9.06/7.03 inference(quant_inst,[status(thm)],[])).
% 9.06/7.03 tff(35673,plain,
% 9.06/7.03 (v6(constB6) <=> v13(constB6)),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35672, 230])).
% 9.06/7.03 tff(35674,plain,
% 9.06/7.03 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB6)) <=> v6(constB6))),
% 9.06/7.03 inference(quant_inst,[status(thm)],[])).
% 9.06/7.03 tff(35675,plain,
% 9.06/7.03 ((~v21(constB6)) <=> v6(constB6)),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35674, 239])).
% 9.06/7.03 tff(35676,plain,
% 9.06/7.03 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB6) <=> (v20(constB6) | v21(constB6)))),
% 9.06/7.03 inference(quant_inst,[status(thm)],[])).
% 9.06/7.03 tff(35677,plain,
% 9.06/7.03 (v19(constB6) <=> (v20(constB6) | v21(constB6))),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35676, 248])).
% 9.06/7.03 tff(35678,plain,
% 9.06/7.03 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB6) <=> (~((~v19(constB6)) | (~v22(constB6)))))),
% 9.06/7.03 inference(quant_inst,[status(thm)],[])).
% 9.06/7.03 tff(35679,plain,
% 9.06/7.03 (v18(constB6) <=> (~((~v19(constB6)) | (~v22(constB6))))),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35678, 260])).
% 9.06/7.03 tff(35680,plain,
% 9.06/7.03 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB6)) <=> v18(constB6))),
% 9.06/7.03 inference(quant_inst,[status(thm)],[])).
% 9.06/7.03 tff(35681,plain,
% 9.06/7.03 ((~v4(constB6)) <=> v18(constB6)),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35680, 269])).
% 9.06/7.03 tff(35682,plain,
% 9.06/7.03 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB6)),
% 9.06/7.03 inference(quant_inst,[status(thm)],[])).
% 9.06/7.03 tff(35683,plain,
% 9.06/7.03 (v4(constB6)),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35682, 278])).
% 9.06/7.03 tff(35684,plain,
% 9.06/7.03 ((~((~v4(constB6)) <=> v18(constB6))) | (~v4(constB6)) | (~v18(constB6))),
% 9.06/7.03 inference(tautology,[status(thm)],[])).
% 9.06/7.03 tff(35685,plain,
% 9.06/7.03 (~v18(constB6)),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35684, 35683, 35681])).
% 9.06/7.03 tff(35686,plain,
% 9.06/7.03 ((~(v18(constB6) <=> (~((~v19(constB6)) | (~v22(constB6)))))) | v18(constB6) | ((~v19(constB6)) | (~v22(constB6)))),
% 9.06/7.03 inference(tautology,[status(thm)],[])).
% 9.06/7.03 tff(35687,plain,
% 9.06/7.03 ((~v19(constB6)) | (~v22(constB6))),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35686, 35685, 35679])).
% 9.06/7.03 tff(35688,plain,
% 9.06/7.03 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB6) <=> (v1(constB6) | v6(constB6)))),
% 9.06/7.03 inference(quant_inst,[status(thm)],[])).
% 9.06/7.03 tff(35689,plain,
% 9.06/7.03 (v22(constB6) <=> (v1(constB6) | v6(constB6))),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35688, 291])).
% 9.06/7.03 tff(35690,plain,
% 9.06/7.03 ((v1(constB6) | v6(constB6)) | (~v1(constB6))),
% 9.06/7.03 inference(tautology,[status(thm)],[])).
% 9.06/7.03 tff(35691,plain,
% 9.06/7.03 (v1(constB6) | v6(constB6)),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35690, 3738])).
% 9.06/7.03 tff(35692,plain,
% 9.06/7.03 ((~(v22(constB6) <=> (v1(constB6) | v6(constB6)))) | v22(constB6) | (~(v1(constB6) | v6(constB6)))),
% 9.06/7.03 inference(tautology,[status(thm)],[])).
% 9.06/7.03 tff(35693,plain,
% 9.06/7.03 ((~(v22(constB6) <=> (v1(constB6) | v6(constB6)))) | v22(constB6)),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35692, 35691])).
% 9.06/7.03 tff(35694,plain,
% 9.06/7.03 (v22(constB6)),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35693, 35689])).
% 9.06/7.03 tff(35695,plain,
% 9.06/7.03 ((~((~v19(constB6)) | (~v22(constB6)))) | (~v19(constB6)) | (~v22(constB6))),
% 9.06/7.03 inference(tautology,[status(thm)],[])).
% 9.06/7.03 tff(35696,plain,
% 9.06/7.03 ((~((~v19(constB6)) | (~v22(constB6)))) | (~v19(constB6))),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35695, 35694])).
% 9.06/7.03 tff(35697,plain,
% 9.06/7.03 (~v19(constB6)),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35696, 35687])).
% 9.06/7.03 tff(35698,plain,
% 9.06/7.03 ((~(v19(constB6) <=> (v20(constB6) | v21(constB6)))) | v19(constB6) | (~(v20(constB6) | v21(constB6)))),
% 9.06/7.03 inference(tautology,[status(thm)],[])).
% 9.06/7.03 tff(35699,plain,
% 9.06/7.03 (~(v20(constB6) | v21(constB6))),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35698, 35697, 35677])).
% 9.06/7.03 tff(35700,plain,
% 9.06/7.03 ((v20(constB6) | v21(constB6)) | (~v21(constB6))),
% 9.06/7.03 inference(tautology,[status(thm)],[])).
% 9.06/7.03 tff(35701,plain,
% 9.06/7.03 (~v21(constB6)),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35700, 35699])).
% 9.06/7.03 tff(35702,plain,
% 9.06/7.03 ((~((~v21(constB6)) <=> v6(constB6))) | v21(constB6) | v6(constB6)),
% 9.06/7.03 inference(tautology,[status(thm)],[])).
% 9.06/7.03 tff(35703,plain,
% 9.06/7.03 (v6(constB6)),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35702, 35701, 35675])).
% 9.06/7.03 tff(35704,plain,
% 9.06/7.03 ((~(v6(constB6) <=> v13(constB6))) | (~v6(constB6)) | v13(constB6)),
% 9.06/7.03 inference(tautology,[status(thm)],[])).
% 9.06/7.03 tff(35705,plain,
% 9.06/7.03 (v13(constB6)),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35704, 35703, 35673])).
% 9.06/7.03 tff(35706,plain,
% 9.06/7.03 ((~(v13(constB6) <=> v9(constB5))) | (~v13(constB6)) | v9(constB5)),
% 9.06/7.03 inference(tautology,[status(thm)],[])).
% 9.06/7.03 tff(35707,plain,
% 9.06/7.03 (v9(constB5)),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35706, 35705, 35671])).
% 9.06/7.03 tff(35708,plain,
% 9.06/7.03 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB5)) <=> v1(constB5))),
% 9.06/7.03 inference(quant_inst,[status(thm)],[])).
% 9.06/7.03 tff(35709,plain,
% 9.06/7.03 ((~v39(constB5)) <=> v1(constB5)),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35708, 129])).
% 9.06/7.03 tff(35710,plain,
% 9.06/7.03 ((~((~v39(constB5)) <=> v1(constB5))) | v39(constB5) | v1(constB5)),
% 9.06/7.03 inference(tautology,[status(thm)],[])).
% 9.06/7.03 tff(35711,plain,
% 9.06/7.03 ((~((~v39(constB5)) <=> v1(constB5))) | v39(constB5)),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35710, 3024])).
% 9.06/7.03 tff(35712,plain,
% 9.06/7.03 (v39(constB5)),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35711, 35709])).
% 9.06/7.03 tff(35713,plain,
% 9.06/7.03 ((~((~v39(constB5)) | (~v9(constB5)))) | (~v39(constB5)) | (~v9(constB5))),
% 9.06/7.03 inference(tautology,[status(thm)],[])).
% 9.06/7.03 tff(35714,plain,
% 9.06/7.03 ((~((~v39(constB5)) | (~v9(constB5)))) | (~v9(constB5))),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35713, 35712])).
% 9.06/7.03 tff(35715,plain,
% 9.06/7.03 (~((~v39(constB5)) | (~v9(constB5)))),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35714, 35707])).
% 9.06/7.03 tff(35716,plain,
% 9.06/7.03 ((~(v197(constB5) <=> (~((~v39(constB5)) | (~v9(constB5)))))) | v197(constB5) | ((~v39(constB5)) | (~v9(constB5)))),
% 9.06/7.03 inference(tautology,[status(thm)],[])).
% 9.06/7.03 tff(35717,plain,
% 9.06/7.03 (v197(constB5)),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35716, 35715, 35667])).
% 9.06/7.03 tff(35718,plain,
% 9.06/7.03 ((v197(constB5) | v26(constB5)) | (~v197(constB5))),
% 9.06/7.03 inference(tautology,[status(thm)],[])).
% 9.06/7.03 tff(35719,plain,
% 9.06/7.03 (v197(constB5) | v26(constB5)),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35718, 35717])).
% 9.06/7.03 tff(35720,plain,
% 9.06/7.03 ((~(v196(constB5) <=> (v197(constB5) | v26(constB5)))) | v196(constB5) | (~(v197(constB5) | v26(constB5)))),
% 9.06/7.03 inference(tautology,[status(thm)],[])).
% 9.06/7.03 tff(35721,plain,
% 9.06/7.03 (v196(constB5)),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35720, 35719, 35665])).
% 9.06/7.03 tff(35722,plain,
% 9.06/7.03 ((~((~v195(constB5)) <=> v196(constB5))) | (~v195(constB5)) | (~v196(constB5))),
% 9.06/7.03 inference(tautology,[status(thm)],[])).
% 9.06/7.03 tff(35723,plain,
% 9.06/7.03 (~v195(constB5)),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35722, 35721, 35663])).
% 9.06/7.03 tff(35724,plain,
% 9.06/7.03 (((~v157(constB5)) | (~v195(constB5))) | v195(constB5)),
% 9.06/7.03 inference(tautology,[status(thm)],[])).
% 9.06/7.03 tff(35725,plain,
% 9.06/7.03 ((~v157(constB5)) | (~v195(constB5))),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35724, 35723])).
% 9.06/7.03 tff(35726,plain,
% 9.06/7.03 ((~(v194(constB5) <=> (~((~v157(constB5)) | (~v195(constB5)))))) | (~v194(constB5)) | (~((~v157(constB5)) | (~v195(constB5))))),
% 9.06/7.03 inference(tautology,[status(thm)],[])).
% 9.06/7.03 tff(35727,plain,
% 9.06/7.03 (~v194(constB5)),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35726, 35725, 35661])).
% 9.06/7.03 tff(35728,plain,
% 9.06/7.03 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB5) <=> (~((~v199(constB5)) | (~v200(constB5)))))),
% 9.06/7.03 inference(quant_inst,[status(thm)],[])).
% 9.06/7.03 tff(35729,plain,
% 9.06/7.03 (v198(constB5) <=> (~((~v199(constB5)) | (~v200(constB5))))),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35728, 96])).
% 9.06/7.03 tff(35730,plain,
% 9.06/7.03 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB5) <=> (~((~v197(constB5)) | (~v201(constB5)))))),
% 9.06/7.03 inference(quant_inst,[status(thm)],[])).
% 9.06/7.03 tff(35731,plain,
% 9.06/7.03 (v200(constB5) <=> (~((~v197(constB5)) | (~v201(constB5))))),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35730, 108])).
% 9.06/7.03 tff(35732,plain,
% 9.06/7.03 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB5) <=> (~((~v159(constB5)) | (~v161(constB5)))))),
% 9.06/7.03 inference(quant_inst,[status(thm)],[])).
% 9.06/7.03 tff(35733,plain,
% 9.06/7.03 (v201(constB5) <=> (~((~v159(constB5)) | (~v161(constB5))))),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35732, 348])).
% 9.06/7.03 tff(35734,plain,
% 9.06/7.03 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB5) <=> v163(constB5))),
% 9.06/7.03 inference(quant_inst,[status(thm)],[])).
% 9.06/7.03 tff(35735,plain,
% 9.06/7.03 (v161(constB5) <=> v163(constB5)),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35734, 357])).
% 9.06/7.03 tff(35736,plain,
% 9.06/7.03 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB5) <=> (v145(constB5) | v167(constB5)))),
% 9.06/7.03 inference(quant_inst,[status(thm)],[])).
% 9.06/7.03 tff(35737,plain,
% 9.06/7.03 (v166(constB5) <=> (v145(constB5) | v167(constB5))),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35736, 369])).
% 9.06/7.03 tff(35738,plain,
% 9.06/7.03 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB5) <=> (v142(constB5) | v168(constB5)))),
% 9.06/7.03 inference(quant_inst,[status(thm)],[])).
% 9.06/7.03 tff(35739,plain,
% 9.06/7.03 (v167(constB5) <=> (v142(constB5) | v168(constB5))),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35738, 381])).
% 9.06/7.03 tff(35740,plain,
% 9.06/7.03 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB5) <=> (v143(constB5) | v144(constB5)))),
% 9.06/7.03 inference(quant_inst,[status(thm)],[])).
% 9.06/7.03 tff(35741,plain,
% 9.06/7.03 (v142(constB5) <=> (v143(constB5) | v144(constB5))),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35740, 10332])).
% 9.06/7.03 tff(35742,plain,
% 9.06/7.03 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB5) <=> (~((~v88(constB5, bitIndex1)) | (~v88(constB5, bitIndex2)) | v88(constB5, bitIndex0))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB5) <=> (~((~v88(constB5, bitIndex1)) | (~v88(constB5, bitIndex2)) | v88(constB5, bitIndex0)))))),
% 9.06/7.03 inference(rewrite,[status(thm)],[])).
% 9.06/7.03 tff(35743,plain,
% 9.06/7.03 ((v144(constB5) <=> (~(v88(constB5, bitIndex0) | (~v88(constB5, bitIndex1)) | (~v88(constB5, bitIndex2))))) <=> (v144(constB5) <=> (~((~v88(constB5, bitIndex1)) | (~v88(constB5, bitIndex2)) | v88(constB5, bitIndex0))))),
% 9.06/7.03 inference(rewrite,[status(thm)],[])).
% 9.06/7.03 tff(35744,plain,
% 9.06/7.03 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB5) <=> (~(v88(constB5, bitIndex0) | (~v88(constB5, bitIndex1)) | (~v88(constB5, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB5) <=> (~((~v88(constB5, bitIndex1)) | (~v88(constB5, bitIndex2)) | v88(constB5, bitIndex0)))))),
% 9.06/7.03 inference(monotonicity,[status(thm)],[35743])).
% 9.06/7.03 tff(35745,plain,
% 9.06/7.03 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB5) <=> (~(v88(constB5, bitIndex0) | (~v88(constB5, bitIndex1)) | (~v88(constB5, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB5) <=> (~((~v88(constB5, bitIndex1)) | (~v88(constB5, bitIndex2)) | v88(constB5, bitIndex0)))))),
% 9.06/7.03 inference(transitivity,[status(thm)],[35744, 35742])).
% 9.06/7.03 tff(35746,plain,
% 9.06/7.03 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB5) <=> (~(v88(constB5, bitIndex0) | (~v88(constB5, bitIndex1)) | (~v88(constB5, bitIndex2)))))),
% 9.06/7.03 inference(quant_inst,[status(thm)],[])).
% 9.06/7.03 tff(35747,plain,
% 9.06/7.03 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB5) <=> (~((~v88(constB5, bitIndex1)) | (~v88(constB5, bitIndex2)) | v88(constB5, bitIndex0))))),
% 9.06/7.03 inference(modus_ponens,[status(thm)],[35746, 35745])).
% 9.06/7.03 tff(35748,plain,
% 9.06/7.03 (v144(constB5) <=> (~((~v88(constB5, bitIndex1)) | (~v88(constB5, bitIndex2)) | v88(constB5, bitIndex0)))),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35747, 10347])).
% 9.06/7.03 tff(35749,plain,
% 9.06/7.03 ((~![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))) | (~(((~v88(constB5, bitIndex1)) <=> v90(constB5, bitIndex1)) | ((~v88(constB5, bitIndex2)) <=> v90(constB5, bitIndex2)) | ((~v88(constB5, bitIndex0)) <=> v90(constB5, bitIndex0))))),
% 9.06/7.03 inference(quant_inst,[status(thm)],[])).
% 9.06/7.03 tff(35750,plain,
% 9.06/7.03 (~(((~v88(constB5, bitIndex1)) <=> v90(constB5, bitIndex1)) | ((~v88(constB5, bitIndex2)) <=> v90(constB5, bitIndex2)) | ((~v88(constB5, bitIndex0)) <=> v90(constB5, bitIndex0)))),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35749, 428])).
% 9.06/7.03 tff(35751,plain,
% 9.06/7.03 ((((~v88(constB5, bitIndex1)) <=> v90(constB5, bitIndex1)) | ((~v88(constB5, bitIndex2)) <=> v90(constB5, bitIndex2)) | ((~v88(constB5, bitIndex0)) <=> v90(constB5, bitIndex0))) | (~((~v88(constB5, bitIndex2)) <=> v90(constB5, bitIndex2)))),
% 9.06/7.03 inference(tautology,[status(thm)],[])).
% 9.06/7.03 tff(35752,plain,
% 9.06/7.03 (~((~v88(constB5, bitIndex2)) <=> v90(constB5, bitIndex2))),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35751, 35750])).
% 9.06/7.03 tff(35753,plain,
% 9.06/7.03 (((~v88(constB5, bitIndex2)) <=> v90(constB5, bitIndex2)) | v88(constB5, bitIndex2) | (~v90(constB5, bitIndex2))),
% 9.06/7.03 inference(tautology,[status(thm)],[])).
% 9.06/7.03 tff(35754,plain,
% 9.06/7.03 (v88(constB5, bitIndex2)),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35753, 3596, 35752])).
% 9.06/7.03 tff(35755,plain,
% 9.06/7.03 ((((~v88(constB5, bitIndex1)) <=> v90(constB5, bitIndex1)) | ((~v88(constB5, bitIndex2)) <=> v90(constB5, bitIndex2)) | ((~v88(constB5, bitIndex0)) <=> v90(constB5, bitIndex0))) | (~((~v88(constB5, bitIndex0)) <=> v90(constB5, bitIndex0)))),
% 9.06/7.03 inference(tautology,[status(thm)],[])).
% 9.06/7.03 tff(35756,plain,
% 9.06/7.03 (~((~v88(constB5, bitIndex0)) <=> v90(constB5, bitIndex0))),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35755, 35750])).
% 9.06/7.03 tff(35757,plain,
% 9.06/7.03 (((~v88(constB5, bitIndex0)) <=> v90(constB5, bitIndex0)) | (~v88(constB5, bitIndex0)) | v90(constB5, bitIndex0)),
% 9.06/7.03 inference(tautology,[status(thm)],[])).
% 9.06/7.03 tff(35758,plain,
% 9.06/7.03 (~v88(constB5, bitIndex0)),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35757, 3786, 35756])).
% 9.06/7.03 tff(35759,plain,
% 9.06/7.03 ((((~v88(constB5, bitIndex1)) <=> v90(constB5, bitIndex1)) | ((~v88(constB5, bitIndex2)) <=> v90(constB5, bitIndex2)) | ((~v88(constB5, bitIndex0)) <=> v90(constB5, bitIndex0))) | (~((~v88(constB5, bitIndex1)) <=> v90(constB5, bitIndex1)))),
% 9.06/7.03 inference(tautology,[status(thm)],[])).
% 9.06/7.03 tff(35760,plain,
% 9.06/7.03 (~((~v88(constB5, bitIndex1)) <=> v90(constB5, bitIndex1))),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35759, 35750])).
% 9.06/7.03 tff(35761,plain,
% 9.06/7.03 (((~v88(constB5, bitIndex1)) <=> v90(constB5, bitIndex1)) | v88(constB5, bitIndex1) | (~v90(constB5, bitIndex1))),
% 9.06/7.03 inference(tautology,[status(thm)],[])).
% 9.06/7.03 tff(35762,plain,
% 9.06/7.03 (v88(constB5, bitIndex1)),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35761, 3638, 35760])).
% 9.06/7.03 tff(35763,plain,
% 9.06/7.03 ((~((~v88(constB5, bitIndex1)) | (~v88(constB5, bitIndex2)) | v88(constB5, bitIndex0))) | (~v88(constB5, bitIndex1)) | (~v88(constB5, bitIndex2)) | v88(constB5, bitIndex0)),
% 9.06/7.03 inference(tautology,[status(thm)],[])).
% 9.06/7.03 tff(35764,plain,
% 9.06/7.03 (~((~v88(constB5, bitIndex1)) | (~v88(constB5, bitIndex2)) | v88(constB5, bitIndex0))),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35763, 35762, 35758, 35754])).
% 9.06/7.03 tff(35765,plain,
% 9.06/7.03 ((~(v144(constB5) <=> (~((~v88(constB5, bitIndex1)) | (~v88(constB5, bitIndex2)) | v88(constB5, bitIndex0))))) | v144(constB5) | ((~v88(constB5, bitIndex1)) | (~v88(constB5, bitIndex2)) | v88(constB5, bitIndex0))),
% 9.06/7.03 inference(tautology,[status(thm)],[])).
% 9.06/7.03 tff(35766,plain,
% 9.06/7.03 (v144(constB5)),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35765, 35764, 35748])).
% 9.06/7.03 tff(35767,plain,
% 9.06/7.03 ((v143(constB5) | v144(constB5)) | (~v144(constB5))),
% 9.06/7.03 inference(tautology,[status(thm)],[])).
% 9.06/7.03 tff(35768,plain,
% 9.06/7.03 (v143(constB5) | v144(constB5)),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35767, 35766])).
% 9.06/7.03 tff(35769,plain,
% 9.06/7.03 ((~(v142(constB5) <=> (v143(constB5) | v144(constB5)))) | v142(constB5) | (~(v143(constB5) | v144(constB5)))),
% 9.06/7.03 inference(tautology,[status(thm)],[])).
% 9.06/7.03 tff(35770,plain,
% 9.06/7.03 (v142(constB5)),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35769, 35768, 35741])).
% 9.06/7.03 tff(35771,plain,
% 9.06/7.03 ((v142(constB5) | v168(constB5)) | (~v142(constB5))),
% 9.06/7.03 inference(tautology,[status(thm)],[])).
% 9.06/7.03 tff(35772,plain,
% 9.06/7.03 (v142(constB5) | v168(constB5)),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35771, 35770])).
% 9.06/7.03 tff(35773,plain,
% 9.06/7.03 ((~(v167(constB5) <=> (v142(constB5) | v168(constB5)))) | v167(constB5) | (~(v142(constB5) | v168(constB5)))),
% 9.06/7.03 inference(tautology,[status(thm)],[])).
% 9.06/7.03 tff(35774,plain,
% 9.06/7.03 ((~(v167(constB5) <=> (v142(constB5) | v168(constB5)))) | v167(constB5)),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35773, 35772])).
% 9.06/7.03 tff(35775,plain,
% 9.06/7.03 (v167(constB5)),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35774, 35739])).
% 9.06/7.03 tff(35776,plain,
% 9.06/7.03 ((v145(constB5) | v167(constB5)) | (~v167(constB5))),
% 9.06/7.03 inference(tautology,[status(thm)],[])).
% 9.06/7.03 tff(35777,plain,
% 9.06/7.03 (v145(constB5) | v167(constB5)),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35776, 35775])).
% 9.06/7.03 tff(35778,plain,
% 9.06/7.03 ((~(v166(constB5) <=> (v145(constB5) | v167(constB5)))) | v166(constB5) | (~(v145(constB5) | v167(constB5)))),
% 9.06/7.03 inference(tautology,[status(thm)],[])).
% 9.06/7.03 tff(35779,plain,
% 9.06/7.03 (v166(constB5)),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35778, 35777, 35737])).
% 9.06/7.03 tff(35780,plain,
% 9.06/7.03 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB5)) | (v163(constB5) <=> v170(constB5)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB5)) | (v163(constB5) <=> v170(constB5)))),
% 9.06/7.03 inference(rewrite,[status(thm)],[])).
% 9.06/7.03 tff(35781,plain,
% 9.06/7.03 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB5)) | (v163(constB5) <=> v170(constB5)))),
% 9.06/7.03 inference(quant_inst,[status(thm)],[])).
% 9.06/7.03 tff(35782,plain,
% 9.06/7.03 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB5)) | (v163(constB5) <=> v170(constB5))),
% 9.06/7.03 inference(modus_ponens,[status(thm)],[35781, 35780])).
% 9.06/7.03 tff(35783,plain,
% 9.06/7.03 ((~v166(constB5)) | (v163(constB5) <=> v170(constB5))),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35782, 9851])).
% 9.06/7.03 tff(35784,plain,
% 9.06/7.03 (v163(constB5) <=> v170(constB5)),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35783, 35779])).
% 9.06/7.03 tff(35785,plain,
% 9.06/7.03 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB5) <=> (v142(constB5) | v150(constB5)))),
% 9.06/7.03 inference(quant_inst,[status(thm)],[])).
% 9.06/7.03 tff(35786,plain,
% 9.06/7.03 (v171(constB5) <=> (v142(constB5) | v150(constB5))),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35785, 9866])).
% 9.06/7.03 tff(35787,plain,
% 9.06/7.03 ((v142(constB5) | v150(constB5)) | (~v142(constB5))),
% 9.06/7.03 inference(tautology,[status(thm)],[])).
% 9.06/7.03 tff(35788,plain,
% 9.06/7.03 (v142(constB5) | v150(constB5)),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35787, 35770])).
% 9.06/7.03 tff(35789,plain,
% 9.06/7.03 ((~(v171(constB5) <=> (v142(constB5) | v150(constB5)))) | v171(constB5) | (~(v142(constB5) | v150(constB5)))),
% 9.06/7.03 inference(tautology,[status(thm)],[])).
% 9.06/7.03 tff(35790,plain,
% 9.06/7.03 ((~(v171(constB5) <=> (v142(constB5) | v150(constB5)))) | v171(constB5)),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35789, 35788])).
% 9.06/7.03 tff(35791,plain,
% 9.06/7.03 (v171(constB5)),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35790, 35786])).
% 9.06/7.03 tff(35792,plain,
% 9.06/7.03 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB5)) | (~v171(constB5)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB5)) | (~v171(constB5)))),
% 9.06/7.03 inference(rewrite,[status(thm)],[])).
% 9.06/7.03 tff(35793,plain,
% 9.06/7.03 (((~v171(constB5)) | (~v170(constB5))) <=> ((~v170(constB5)) | (~v171(constB5)))),
% 9.06/7.03 inference(rewrite,[status(thm)],[])).
% 9.06/7.03 tff(35794,plain,
% 9.06/7.03 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB5)) | (~v170(constB5)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB5)) | (~v171(constB5))))),
% 9.06/7.03 inference(monotonicity,[status(thm)],[35793])).
% 9.06/7.03 tff(35795,plain,
% 9.06/7.03 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB5)) | (~v170(constB5)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB5)) | (~v171(constB5)))),
% 9.06/7.03 inference(transitivity,[status(thm)],[35794, 35792])).
% 9.06/7.03 tff(35796,plain,
% 9.06/7.03 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB5)) | (~v170(constB5)))),
% 9.06/7.03 inference(quant_inst,[status(thm)],[])).
% 9.06/7.03 tff(35797,plain,
% 9.06/7.03 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB5)) | (~v171(constB5))),
% 9.06/7.03 inference(modus_ponens,[status(thm)],[35796, 35795])).
% 9.06/7.03 tff(35798,plain,
% 9.06/7.03 (~v170(constB5)),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35797, 9899, 35791])).
% 9.06/7.03 tff(35799,plain,
% 9.06/7.03 ((~(v163(constB5) <=> v170(constB5))) | (~v163(constB5)) | v170(constB5)),
% 9.06/7.03 inference(tautology,[status(thm)],[])).
% 9.06/7.03 tff(35800,plain,
% 9.06/7.03 (~v163(constB5)),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35799, 35798, 35784])).
% 9.06/7.03 tff(35801,plain,
% 9.06/7.03 ((~(v161(constB5) <=> v163(constB5))) | (~v161(constB5)) | v163(constB5)),
% 9.06/7.03 inference(tautology,[status(thm)],[])).
% 9.06/7.03 tff(35802,plain,
% 9.06/7.03 (~v161(constB5)),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35801, 35800, 35735])).
% 9.06/7.03 tff(35803,plain,
% 9.06/7.03 (((~v159(constB5)) | (~v161(constB5))) | v161(constB5)),
% 9.06/7.03 inference(tautology,[status(thm)],[])).
% 9.06/7.03 tff(35804,plain,
% 9.06/7.03 ((~v159(constB5)) | (~v161(constB5))),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35803, 35802])).
% 9.06/7.03 tff(35805,plain,
% 9.06/7.03 ((~(v201(constB5) <=> (~((~v159(constB5)) | (~v161(constB5)))))) | (~v201(constB5)) | (~((~v159(constB5)) | (~v161(constB5))))),
% 9.06/7.03 inference(tautology,[status(thm)],[])).
% 9.06/7.03 tff(35806,plain,
% 9.06/7.03 (~v201(constB5)),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35805, 35804, 35733])).
% 9.06/7.03 tff(35807,plain,
% 9.06/7.03 (((~v197(constB5)) | (~v201(constB5))) | v201(constB5)),
% 9.06/7.03 inference(tautology,[status(thm)],[])).
% 9.06/7.03 tff(35808,plain,
% 9.06/7.03 ((~v197(constB5)) | (~v201(constB5))),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35807, 35806])).
% 9.06/7.03 tff(35809,plain,
% 9.06/7.03 ((~(v200(constB5) <=> (~((~v197(constB5)) | (~v201(constB5)))))) | (~v200(constB5)) | (~((~v197(constB5)) | (~v201(constB5))))),
% 9.06/7.03 inference(tautology,[status(thm)],[])).
% 9.06/7.03 tff(35810,plain,
% 9.06/7.03 (~v200(constB5)),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35809, 35808, 35731])).
% 9.06/7.03 tff(35811,plain,
% 9.06/7.03 (((~v199(constB5)) | (~v200(constB5))) | v200(constB5)),
% 9.06/7.03 inference(tautology,[status(thm)],[])).
% 9.06/7.03 tff(35812,plain,
% 9.06/7.03 ((~v199(constB5)) | (~v200(constB5))),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35811, 35810])).
% 9.06/7.03 tff(35813,plain,
% 9.06/7.03 ((~(v198(constB5) <=> (~((~v199(constB5)) | (~v200(constB5)))))) | (~v198(constB5)) | (~((~v199(constB5)) | (~v200(constB5))))),
% 9.06/7.03 inference(tautology,[status(thm)],[])).
% 9.06/7.03 tff(35814,plain,
% 9.06/7.03 (~v198(constB5)),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35813, 35812, 35729])).
% 9.06/7.03 tff(35815,plain,
% 9.06/7.03 ((~(v194(constB5) | v198(constB5))) | v194(constB5) | v198(constB5)),
% 9.06/7.03 inference(tautology,[status(thm)],[])).
% 9.06/7.03 tff(35816,plain,
% 9.06/7.03 (~(v194(constB5) | v198(constB5))),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35815, 35814, 35727])).
% 9.06/7.03 tff(35817,plain,
% 9.06/7.03 ((~(v191(constB5) <=> (v194(constB5) | v198(constB5)))) | (~v191(constB5)) | (v194(constB5) | v198(constB5))),
% 9.06/7.03 inference(tautology,[status(thm)],[])).
% 9.06/7.03 tff(35818,plain,
% 9.06/7.03 (~v191(constB5)),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35817, 35816, 35654])).
% 9.06/7.03 tff(35819,plain,
% 9.06/7.03 ((~(v193(constB6) <=> v191(constB5))) | (~v193(constB6)) | v191(constB5)),
% 9.06/7.03 inference(tautology,[status(thm)],[])).
% 9.06/7.03 tff(35820,plain,
% 9.06/7.03 (~v193(constB6)),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35819, 35818, 35652])).
% 9.06/7.03 tff(35821,plain,
% 9.06/7.03 ((~(v157(constB6) <=> v193(constB6))) | (~v157(constB6)) | v193(constB6)),
% 9.06/7.03 inference(tautology,[status(thm)],[])).
% 9.06/7.03 tff(35822,plain,
% 9.06/7.03 (~v157(constB6)),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35821, 35820, 35648])).
% 9.06/7.03 tff(35823,plain,
% 9.06/7.03 (((~v157(constB6)) | (~v195(constB6))) | v157(constB6)),
% 9.06/7.03 inference(tautology,[status(thm)],[])).
% 9.06/7.03 tff(35824,plain,
% 9.06/7.03 ((~v157(constB6)) | (~v195(constB6))),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35823, 35822])).
% 9.06/7.03 tff(35825,plain,
% 9.06/7.03 ((~(v194(constB6) <=> (~((~v157(constB6)) | (~v195(constB6)))))) | (~v194(constB6)) | (~((~v157(constB6)) | (~v195(constB6))))),
% 9.06/7.03 inference(tautology,[status(thm)],[])).
% 9.06/7.03 tff(35826,plain,
% 9.06/7.03 (~v194(constB6)),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35825, 35824, 35646])).
% 9.06/7.03 tff(35827,plain,
% 9.06/7.03 ((~(v194(constB6) | v198(constB6))) | v194(constB6) | v198(constB6)),
% 9.06/7.03 inference(tautology,[status(thm)],[])).
% 9.06/7.03 tff(35828,plain,
% 9.06/7.03 (~(v194(constB6) | v198(constB6))),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35827, 35826, 35639])).
% 9.06/7.03 tff(35829,plain,
% 9.06/7.03 ((~(v191(constB6) <=> (v194(constB6) | v198(constB6)))) | (~v191(constB6)) | (v194(constB6) | v198(constB6))),
% 9.06/7.03 inference(tautology,[status(thm)],[])).
% 9.06/7.03 tff(35830,plain,
% 9.06/7.03 (~v191(constB6)),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35829, 35828, 35614])).
% 9.06/7.03 tff(35831,plain,
% 9.06/7.03 ((~(v193(constB7) <=> v191(constB6))) | (~v193(constB7)) | v191(constB6)),
% 9.06/7.03 inference(tautology,[status(thm)],[])).
% 9.06/7.03 tff(35832,plain,
% 9.06/7.03 (~v193(constB7)),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35831, 35830, 35612])).
% 9.06/7.03 tff(35833,plain,
% 9.06/7.03 ($false),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35832, 35608])).
% 9.06/7.03 tff(35834,plain,(~(constB7 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.06/7.03 tff(35835,assumption,(constB159 = VarCurr!0), introduced(assumption)).
% 9.06/7.03 tff(35836,plain,
% 9.06/7.03 (v86(constB159) <=> v86(VarCurr!0)),
% 9.06/7.03 inference(monotonicity,[status(thm)],[35835])).
% 9.06/7.03 tff(35837,plain,
% 9.06/7.03 (v86(VarCurr!0) <=> v86(constB159)),
% 9.06/7.03 inference(symmetry,[status(thm)],[35836])).
% 9.06/7.03 tff(35838,plain,
% 9.06/7.03 ((~v86(VarCurr!0)) <=> (~v86(constB159))),
% 9.06/7.03 inference(monotonicity,[status(thm)],[35837])).
% 9.06/7.03 tff(35839,plain,
% 9.06/7.03 (~v86(constB159)),
% 9.06/7.03 inference(modus_ponens,[status(thm)],[14736, 35838])).
% 9.06/7.03 tff(35840,plain,
% 9.06/7.03 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB159) <=> (v136(constB159) | v145(constB159)))),
% 9.06/7.03 inference(quant_inst,[status(thm)],[])).
% 9.06/7.03 tff(35841,plain,
% 9.06/7.03 (v135(constB159) <=> (v136(constB159) | v145(constB159))),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35840, 14744])).
% 9.06/7.03 tff(35842,plain,
% 9.06/7.03 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB159) <=> (v137(constB159) | v142(constB159)))),
% 9.06/7.03 inference(quant_inst,[status(thm)],[])).
% 9.06/7.03 tff(35843,plain,
% 9.06/7.03 (v136(constB159) <=> (v137(constB159) | v142(constB159))),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35842, 14753])).
% 9.06/7.03 tff(35844,plain,
% 9.06/7.03 ((v137(constB159) | v142(constB159)) | (~v142(constB159))),
% 9.06/7.03 inference(tautology,[status(thm)],[])).
% 9.06/7.03 tff(35845,plain,
% 9.06/7.03 (v137(constB159) | v142(constB159)),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35844, 35105])).
% 9.06/7.03 tff(35846,plain,
% 9.06/7.03 ((~(v136(constB159) <=> (v137(constB159) | v142(constB159)))) | v136(constB159) | (~(v137(constB159) | v142(constB159)))),
% 9.06/7.03 inference(tautology,[status(thm)],[])).
% 9.06/7.03 tff(35847,plain,
% 9.06/7.03 ((~(v136(constB159) <=> (v137(constB159) | v142(constB159)))) | v136(constB159)),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35846, 35845])).
% 9.06/7.03 tff(35848,plain,
% 9.06/7.03 (v136(constB159)),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35847, 35843])).
% 9.06/7.03 tff(35849,plain,
% 9.06/7.03 ((v136(constB159) | v145(constB159)) | (~v136(constB159))),
% 9.06/7.03 inference(tautology,[status(thm)],[])).
% 9.06/7.03 tff(35850,plain,
% 9.06/7.03 (v136(constB159) | v145(constB159)),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35849, 35848])).
% 9.06/7.03 tff(35851,plain,
% 9.06/7.03 ((~(v135(constB159) <=> (v136(constB159) | v145(constB159)))) | v135(constB159) | (~(v136(constB159) | v145(constB159)))),
% 9.06/7.03 inference(tautology,[status(thm)],[])).
% 9.06/7.03 tff(35852,plain,
% 9.06/7.03 (v135(constB159)),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35851, 35850, 35841])).
% 9.06/7.03 tff(35853,plain,
% 9.06/7.03 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB159)) | (v86(constB159) <=> v148(constB159)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB159)) | (v86(constB159) <=> v148(constB159)))),
% 9.06/7.03 inference(rewrite,[status(thm)],[])).
% 9.06/7.03 tff(35854,plain,
% 9.06/7.03 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB159)) | (v86(constB159) <=> v148(constB159)))),
% 9.06/7.03 inference(quant_inst,[status(thm)],[])).
% 9.06/7.03 tff(35855,plain,
% 9.06/7.03 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB159)) | (v86(constB159) <=> v148(constB159))),
% 9.06/7.03 inference(modus_ponens,[status(thm)],[35854, 35853])).
% 9.06/7.03 tff(35856,plain,
% 9.06/7.03 (v86(constB159) <=> v148(constB159)),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35855, 14818, 35852])).
% 9.06/7.03 tff(35857,plain,
% 9.06/7.03 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB159) | (~v142(constB159)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB159) | (~v142(constB159)))),
% 9.06/7.03 inference(rewrite,[status(thm)],[])).
% 9.06/7.03 tff(35858,plain,
% 9.06/7.03 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB159) | (~v142(constB159)))),
% 9.06/7.03 inference(quant_inst,[status(thm)],[])).
% 9.06/7.03 tff(35859,plain,
% 9.06/7.03 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB159) | (~v142(constB159))),
% 9.06/7.03 inference(modus_ponens,[status(thm)],[35858, 35857])).
% 9.06/7.03 tff(35860,plain,
% 9.06/7.03 (v148(constB159)),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35859, 14832, 35105])).
% 9.06/7.03 tff(35861,plain,
% 9.06/7.03 ((~(v86(constB159) <=> v148(constB159))) | v86(constB159) | (~v148(constB159))),
% 9.06/7.03 inference(tautology,[status(thm)],[])).
% 9.06/7.03 tff(35862,plain,
% 9.06/7.03 ((~(v86(constB159) <=> v148(constB159))) | v86(constB159)),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35861, 35860])).
% 9.06/7.03 tff(35863,plain,
% 9.06/7.03 (v86(constB159)),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35862, 35856])).
% 9.06/7.03 tff(35864,plain,
% 9.06/7.03 ($false),
% 9.06/7.03 inference(unit_resolution,[status(thm)],[35863, 35839])).
% 9.06/7.03 tff(35865,plain,(~(constB159 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.06/7.03 tff(35866,assumption,(constB141 = VarCurr!0), introduced(assumption)).
% 9.06/7.03 tff(35867,plain,
% 9.06/7.03 (v193(constB141) <=> v193(VarCurr!0)),
% 9.06/7.03 inference(monotonicity,[status(thm)],[35866])).
% 9.06/7.03 tff(35868,plain,
% 9.06/7.03 (v193(VarCurr!0) <=> v193(constB141)),
% 9.06/7.03 inference(symmetry,[status(thm)],[35867])).
% 9.06/7.03 tff(35869,plain,
% 9.06/7.03 (v193(constB141)),
% 9.06/7.03 inference(modus_ponens,[status(thm)],[59, 35868])).
% 9.06/7.03 tff(35870,plain,
% 9.06/7.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB140, constB141)) | (v193(constB141) <=> v191(constB140)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB140, constB141)) | (v193(constB141) <=> v191(constB140)))),
% 9.06/7.04 inference(rewrite,[status(thm)],[])).
% 9.06/7.04 tff(35871,plain,
% 9.06/7.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB140, constB141)) | (v193(constB141) <=> v191(constB140)))),
% 9.06/7.04 inference(quant_inst,[status(thm)],[])).
% 9.06/7.04 tff(35872,plain,
% 9.06/7.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB140, constB141)) | (v193(constB141) <=> v191(constB140))),
% 9.06/7.04 inference(modus_ponens,[status(thm)],[35871, 35870])).
% 9.06/7.04 tff(35873,plain,
% 9.06/7.04 (v193(constB141) <=> v191(constB140)),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[35872, 16733, 70])).
% 9.06/7.04 tff(35874,plain,
% 9.06/7.04 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB140) <=> (v194(constB140) | v198(constB140)))),
% 9.06/7.04 inference(quant_inst,[status(thm)],[])).
% 9.06/7.04 tff(35875,plain,
% 9.06/7.04 (v191(constB140) <=> (v194(constB140) | v198(constB140))),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[35874, 84])).
% 9.06/7.04 tff(35876,plain,
% 9.06/7.04 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB140) <=> (~((~v199(constB140)) | (~v200(constB140)))))),
% 9.06/7.04 inference(quant_inst,[status(thm)],[])).
% 9.06/7.04 tff(35877,plain,
% 9.06/7.04 (v198(constB140) <=> (~((~v199(constB140)) | (~v200(constB140))))),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[35876, 96])).
% 9.06/7.04 tff(35878,plain,
% 9.06/7.04 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB140) <=> (~((~v197(constB140)) | (~v201(constB140)))))),
% 9.06/7.04 inference(quant_inst,[status(thm)],[])).
% 9.06/7.04 tff(35879,plain,
% 9.06/7.04 (v200(constB140) <=> (~((~v197(constB140)) | (~v201(constB140))))),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[35878, 108])).
% 9.06/7.04 tff(35880,plain,
% 9.06/7.04 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB140) <=> (~((~v39(constB140)) | (~v9(constB140)))))),
% 9.06/7.04 inference(quant_inst,[status(thm)],[])).
% 9.06/7.04 tff(35881,plain,
% 9.06/7.04 (v197(constB140) <=> (~((~v39(constB140)) | (~v9(constB140))))),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[35880, 120])).
% 9.06/7.04 tff(35882,plain,
% 9.06/7.04 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB140)) <=> v1(constB140))),
% 9.06/7.04 inference(quant_inst,[status(thm)],[])).
% 9.06/7.04 tff(35883,plain,
% 9.06/7.04 ((~v39(constB140)) <=> v1(constB140)),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[35882, 129])).
% 9.06/7.04 tff(35884,plain,
% 9.06/7.04 ((~((~v39(constB140)) <=> v1(constB140))) | (~v39(constB140)) | (~v1(constB140))),
% 9.06/7.04 inference(tautology,[status(thm)],[])).
% 9.06/7.04 tff(35885,plain,
% 9.06/7.04 ((~((~v39(constB140)) <=> v1(constB140))) | (~v39(constB140))),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[35884, 19544])).
% 9.06/7.04 tff(35886,plain,
% 9.06/7.04 (~v39(constB140)),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[35885, 35883])).
% 9.06/7.04 tff(35887,plain,
% 9.06/7.04 (((~v39(constB140)) | (~v9(constB140))) | v39(constB140)),
% 9.06/7.04 inference(tautology,[status(thm)],[])).
% 9.06/7.04 tff(35888,plain,
% 9.06/7.04 ((~v39(constB140)) | (~v9(constB140))),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[35887, 35886])).
% 9.06/7.04 tff(35889,plain,
% 9.06/7.04 ((~(v197(constB140) <=> (~((~v39(constB140)) | (~v9(constB140)))))) | (~v197(constB140)) | (~((~v39(constB140)) | (~v9(constB140))))),
% 9.06/7.04 inference(tautology,[status(thm)],[])).
% 9.06/7.04 tff(35890,plain,
% 9.06/7.04 ((~(v197(constB140) <=> (~((~v39(constB140)) | (~v9(constB140)))))) | (~v197(constB140))),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[35889, 35888])).
% 9.06/7.04 tff(35891,plain,
% 9.06/7.04 (~v197(constB140)),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[35890, 35881])).
% 9.06/7.04 tff(35892,plain,
% 9.06/7.04 (((~v197(constB140)) | (~v201(constB140))) | v197(constB140)),
% 9.06/7.04 inference(tautology,[status(thm)],[])).
% 9.06/7.04 tff(35893,plain,
% 9.06/7.04 ((~v197(constB140)) | (~v201(constB140))),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[35892, 35891])).
% 9.06/7.04 tff(35894,plain,
% 9.06/7.04 ((~(v200(constB140) <=> (~((~v197(constB140)) | (~v201(constB140)))))) | (~v200(constB140)) | (~((~v197(constB140)) | (~v201(constB140))))),
% 9.06/7.04 inference(tautology,[status(thm)],[])).
% 9.06/7.04 tff(35895,plain,
% 9.06/7.04 ((~(v200(constB140) <=> (~((~v197(constB140)) | (~v201(constB140)))))) | (~v200(constB140))),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[35894, 35893])).
% 9.06/7.04 tff(35896,plain,
% 9.06/7.04 (~v200(constB140)),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[35895, 35879])).
% 9.06/7.04 tff(35897,plain,
% 9.06/7.04 (((~v199(constB140)) | (~v200(constB140))) | v200(constB140)),
% 9.06/7.04 inference(tautology,[status(thm)],[])).
% 9.06/7.04 tff(35898,plain,
% 9.06/7.04 ((~v199(constB140)) | (~v200(constB140))),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[35897, 35896])).
% 9.06/7.04 tff(35899,plain,
% 9.06/7.04 ((~(v198(constB140) <=> (~((~v199(constB140)) | (~v200(constB140)))))) | (~v198(constB140)) | (~((~v199(constB140)) | (~v200(constB140))))),
% 9.06/7.04 inference(tautology,[status(thm)],[])).
% 9.06/7.04 tff(35900,plain,
% 9.06/7.04 (~v198(constB140)),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[35899, 35898, 35877])).
% 9.06/7.04 tff(35901,plain,
% 9.06/7.04 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB140) <=> (~((~v157(constB140)) | (~v195(constB140)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB140) <=> (~((~v157(constB140)) | (~v195(constB140))))))),
% 9.06/7.04 inference(rewrite,[status(thm)],[])).
% 9.06/7.04 tff(35902,plain,
% 9.06/7.04 ((v194(constB140) <=> (~((~v195(constB140)) | (~v157(constB140))))) <=> (v194(constB140) <=> (~((~v157(constB140)) | (~v195(constB140)))))),
% 9.06/7.04 inference(rewrite,[status(thm)],[])).
% 9.06/7.04 tff(35903,plain,
% 9.06/7.04 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB140) <=> (~((~v195(constB140)) | (~v157(constB140)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB140) <=> (~((~v157(constB140)) | (~v195(constB140))))))),
% 9.06/7.04 inference(monotonicity,[status(thm)],[35902])).
% 9.06/7.04 tff(35904,plain,
% 9.06/7.04 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB140) <=> (~((~v195(constB140)) | (~v157(constB140)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB140) <=> (~((~v157(constB140)) | (~v195(constB140))))))),
% 9.06/7.04 inference(transitivity,[status(thm)],[35903, 35901])).
% 9.06/7.04 tff(35905,plain,
% 9.06/7.04 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB140) <=> (~((~v195(constB140)) | (~v157(constB140)))))),
% 9.06/7.04 inference(quant_inst,[status(thm)],[])).
% 9.06/7.04 tff(35906,plain,
% 9.06/7.04 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB140) <=> (~((~v157(constB140)) | (~v195(constB140)))))),
% 9.06/7.04 inference(modus_ponens,[status(thm)],[35905, 35904])).
% 9.06/7.04 tff(35907,plain,
% 9.06/7.04 (v194(constB140) <=> (~((~v157(constB140)) | (~v195(constB140))))),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[35906, 161])).
% 9.06/7.04 tff(35908,plain,
% 9.06/7.04 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB140) <=> v193(constB140))),
% 9.06/7.04 inference(quant_inst,[status(thm)],[])).
% 9.06/7.04 tff(35909,plain,
% 9.06/7.04 (v157(constB140) <=> v193(constB140)),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[35908, 13])).
% 9.06/7.04 tff(35910,plain,
% 9.06/7.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB139, constB140)) | (v193(constB140) <=> v191(constB139)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB139, constB140)) | (v193(constB140) <=> v191(constB139)))),
% 9.06/7.04 inference(rewrite,[status(thm)],[])).
% 9.06/7.04 tff(35911,plain,
% 9.06/7.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB139, constB140)) | (v193(constB140) <=> v191(constB139)))),
% 9.06/7.04 inference(quant_inst,[status(thm)],[])).
% 9.06/7.04 tff(35912,plain,
% 9.06/7.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB139, constB140)) | (v193(constB140) <=> v191(constB139))),
% 9.06/7.04 inference(modus_ponens,[status(thm)],[35911, 35910])).
% 9.06/7.04 tff(35913,plain,
% 9.06/7.04 (v193(constB140) <=> v191(constB139)),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[35912, 16769, 70])).
% 9.06/7.04 tff(35914,plain,
% 9.06/7.04 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB139) <=> (v194(constB139) | v198(constB139)))),
% 9.06/7.04 inference(quant_inst,[status(thm)],[])).
% 9.06/7.04 tff(35915,plain,
% 9.06/7.04 (v191(constB139) <=> (v194(constB139) | v198(constB139))),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[35914, 84])).
% 9.06/7.04 tff(35916,plain,
% 9.06/7.04 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB139) <=> (~((~v157(constB139)) | (~v195(constB139)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB139) <=> (~((~v157(constB139)) | (~v195(constB139))))))),
% 9.06/7.04 inference(rewrite,[status(thm)],[])).
% 9.06/7.04 tff(35917,plain,
% 9.06/7.04 ((v194(constB139) <=> (~((~v195(constB139)) | (~v157(constB139))))) <=> (v194(constB139) <=> (~((~v157(constB139)) | (~v195(constB139)))))),
% 9.06/7.04 inference(rewrite,[status(thm)],[])).
% 9.06/7.04 tff(35918,plain,
% 9.06/7.04 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB139) <=> (~((~v195(constB139)) | (~v157(constB139)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB139) <=> (~((~v157(constB139)) | (~v195(constB139))))))),
% 9.06/7.04 inference(monotonicity,[status(thm)],[35917])).
% 9.06/7.04 tff(35919,plain,
% 9.06/7.04 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB139) <=> (~((~v195(constB139)) | (~v157(constB139)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB139) <=> (~((~v157(constB139)) | (~v195(constB139))))))),
% 9.06/7.04 inference(transitivity,[status(thm)],[35918, 35916])).
% 9.06/7.04 tff(35920,plain,
% 9.06/7.04 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB139) <=> (~((~v195(constB139)) | (~v157(constB139)))))),
% 9.06/7.04 inference(quant_inst,[status(thm)],[])).
% 9.06/7.04 tff(35921,plain,
% 9.06/7.04 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB139) <=> (~((~v157(constB139)) | (~v195(constB139)))))),
% 9.06/7.04 inference(modus_ponens,[status(thm)],[35920, 35919])).
% 9.06/7.04 tff(35922,plain,
% 9.06/7.04 (v194(constB139) <=> (~((~v157(constB139)) | (~v195(constB139))))),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[35921, 161])).
% 9.06/7.04 tff(35923,plain,
% 9.06/7.04 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB139)) <=> v196(constB139))),
% 9.06/7.04 inference(quant_inst,[status(thm)],[])).
% 9.06/7.04 tff(35924,plain,
% 9.06/7.04 ((~v195(constB139)) <=> v196(constB139)),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[35923, 193])).
% 9.06/7.04 tff(35925,plain,
% 9.06/7.04 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB139) <=> (v197(constB139) | v26(constB139)))),
% 9.06/7.04 inference(quant_inst,[status(thm)],[])).
% 9.06/7.04 tff(35926,plain,
% 9.06/7.04 (v196(constB139) <=> (v197(constB139) | v26(constB139))),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[35925, 202])).
% 9.06/7.04 tff(35927,plain,
% 9.06/7.04 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB139) <=> (~((~v39(constB139)) | (~v9(constB139)))))),
% 9.06/7.04 inference(quant_inst,[status(thm)],[])).
% 9.06/7.04 tff(35928,plain,
% 9.06/7.04 (v197(constB139) <=> (~((~v39(constB139)) | (~v9(constB139))))),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[35927, 120])).
% 9.06/7.04 tff(35929,plain,
% 9.06/7.04 (((~![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)))),
% 9.06/7.04 inference(rewrite,[status(thm)],[])).
% 9.06/7.04 tff(35930,plain,
% 9.06/7.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB139, constB140)) | (v13(constB140) <=> v9(constB139)))),
% 9.06/7.04 inference(quant_inst,[status(thm)],[])).
% 9.06/7.04 tff(35931,plain,
% 9.06/7.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB139, constB140)) | (v13(constB140) <=> v9(constB139))),
% 9.06/7.04 inference(modus_ponens,[status(thm)],[35930, 35929])).
% 9.06/7.04 tff(35932,plain,
% 9.06/7.04 (v13(constB140) <=> v9(constB139)),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[35931, 16769, 216])).
% 9.06/7.04 tff(35933,plain,
% 9.06/7.04 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB140) <=> v13(constB140))),
% 9.06/7.04 inference(quant_inst,[status(thm)],[])).
% 9.06/7.04 tff(35934,plain,
% 9.06/7.04 (v6(constB140) <=> v13(constB140)),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[35933, 230])).
% 9.06/7.04 tff(35935,plain,
% 9.06/7.04 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB140)) <=> v6(constB140))),
% 9.06/7.04 inference(quant_inst,[status(thm)],[])).
% 9.06/7.04 tff(35936,plain,
% 9.06/7.04 ((~v21(constB140)) <=> v6(constB140)),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[35935, 239])).
% 9.06/7.04 tff(35937,plain,
% 9.06/7.04 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB140) <=> (v20(constB140) | v21(constB140)))),
% 9.06/7.04 inference(quant_inst,[status(thm)],[])).
% 9.06/7.04 tff(35938,plain,
% 9.06/7.04 (v19(constB140) <=> (v20(constB140) | v21(constB140))),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[35937, 248])).
% 9.06/7.04 tff(35939,plain,
% 9.06/7.04 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB140) <=> (~((~v19(constB140)) | (~v22(constB140)))))),
% 9.06/7.04 inference(quant_inst,[status(thm)],[])).
% 9.06/7.04 tff(35940,plain,
% 9.06/7.04 (v18(constB140) <=> (~((~v19(constB140)) | (~v22(constB140))))),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[35939, 260])).
% 9.06/7.04 tff(35941,plain,
% 9.06/7.04 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB140)) <=> v18(constB140))),
% 9.06/7.04 inference(quant_inst,[status(thm)],[])).
% 9.06/7.04 tff(35942,plain,
% 9.06/7.04 ((~v4(constB140)) <=> v18(constB140)),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[35941, 269])).
% 9.06/7.04 tff(35943,plain,
% 9.06/7.04 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB140)),
% 9.06/7.04 inference(quant_inst,[status(thm)],[])).
% 9.06/7.04 tff(35944,plain,
% 9.06/7.04 (v4(constB140)),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[35943, 278])).
% 9.06/7.04 tff(35945,plain,
% 9.06/7.04 ((~((~v4(constB140)) <=> v18(constB140))) | (~v4(constB140)) | (~v18(constB140))),
% 9.06/7.04 inference(tautology,[status(thm)],[])).
% 9.06/7.04 tff(35946,plain,
% 9.06/7.04 (~v18(constB140)),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[35945, 35944, 35942])).
% 9.06/7.04 tff(35947,plain,
% 9.06/7.04 ((~(v18(constB140) <=> (~((~v19(constB140)) | (~v22(constB140)))))) | v18(constB140) | ((~v19(constB140)) | (~v22(constB140)))),
% 9.06/7.04 inference(tautology,[status(thm)],[])).
% 9.06/7.04 tff(35948,plain,
% 9.06/7.04 ((~v19(constB140)) | (~v22(constB140))),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[35947, 35946, 35940])).
% 9.06/7.04 tff(35949,plain,
% 9.06/7.04 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB140) <=> (v1(constB140) | v6(constB140)))),
% 9.06/7.04 inference(quant_inst,[status(thm)],[])).
% 9.06/7.04 tff(35950,plain,
% 9.06/7.04 (v22(constB140) <=> (v1(constB140) | v6(constB140))),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[35949, 291])).
% 9.06/7.04 tff(35951,plain,
% 9.06/7.04 ((v1(constB140) | v6(constB140)) | (~v1(constB140))),
% 9.06/7.04 inference(tautology,[status(thm)],[])).
% 9.06/7.04 tff(35952,plain,
% 9.06/7.04 (v1(constB140) | v6(constB140)),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[35951, 19544])).
% 9.06/7.04 tff(35953,plain,
% 9.06/7.04 ((~(v22(constB140) <=> (v1(constB140) | v6(constB140)))) | v22(constB140) | (~(v1(constB140) | v6(constB140)))),
% 9.06/7.04 inference(tautology,[status(thm)],[])).
% 9.06/7.04 tff(35954,plain,
% 9.06/7.04 ((~(v22(constB140) <=> (v1(constB140) | v6(constB140)))) | v22(constB140)),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[35953, 35952])).
% 9.06/7.04 tff(35955,plain,
% 9.06/7.04 (v22(constB140)),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[35954, 35950])).
% 9.06/7.04 tff(35956,plain,
% 9.06/7.04 ((~((~v19(constB140)) | (~v22(constB140)))) | (~v19(constB140)) | (~v22(constB140))),
% 9.06/7.04 inference(tautology,[status(thm)],[])).
% 9.06/7.04 tff(35957,plain,
% 9.06/7.04 ((~((~v19(constB140)) | (~v22(constB140)))) | (~v19(constB140))),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[35956, 35955])).
% 9.06/7.04 tff(35958,plain,
% 9.06/7.04 (~v19(constB140)),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[35957, 35948])).
% 9.06/7.04 tff(35959,plain,
% 9.06/7.04 ((~(v19(constB140) <=> (v20(constB140) | v21(constB140)))) | v19(constB140) | (~(v20(constB140) | v21(constB140)))),
% 9.06/7.04 inference(tautology,[status(thm)],[])).
% 9.06/7.04 tff(35960,plain,
% 9.06/7.04 (~(v20(constB140) | v21(constB140))),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[35959, 35958, 35938])).
% 9.06/7.04 tff(35961,plain,
% 9.06/7.04 ((v20(constB140) | v21(constB140)) | (~v21(constB140))),
% 9.06/7.04 inference(tautology,[status(thm)],[])).
% 9.06/7.04 tff(35962,plain,
% 9.06/7.04 (~v21(constB140)),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[35961, 35960])).
% 9.06/7.04 tff(35963,plain,
% 9.06/7.04 ((~((~v21(constB140)) <=> v6(constB140))) | v21(constB140) | v6(constB140)),
% 9.06/7.04 inference(tautology,[status(thm)],[])).
% 9.06/7.04 tff(35964,plain,
% 9.06/7.04 (v6(constB140)),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[35963, 35962, 35936])).
% 9.06/7.04 tff(35965,plain,
% 9.06/7.04 ((~(v6(constB140) <=> v13(constB140))) | (~v6(constB140)) | v13(constB140)),
% 9.06/7.04 inference(tautology,[status(thm)],[])).
% 9.06/7.04 tff(35966,plain,
% 9.06/7.04 (v13(constB140)),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[35965, 35964, 35934])).
% 9.06/7.04 tff(35967,plain,
% 9.06/7.04 ((~(v13(constB140) <=> v9(constB139))) | (~v13(constB140)) | v9(constB139)),
% 9.06/7.04 inference(tautology,[status(thm)],[])).
% 9.06/7.04 tff(35968,plain,
% 9.06/7.04 (v9(constB139)),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[35967, 35966, 35932])).
% 9.06/7.04 tff(35969,plain,
% 9.06/7.04 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB139)) <=> v1(constB139))),
% 9.06/7.04 inference(quant_inst,[status(thm)],[])).
% 9.06/7.04 tff(35970,plain,
% 9.06/7.04 ((~v39(constB139)) <=> v1(constB139)),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[35969, 129])).
% 9.06/7.04 tff(35971,plain,
% 9.06/7.04 ((~((~v39(constB139)) <=> v1(constB139))) | v39(constB139) | v1(constB139)),
% 9.06/7.04 inference(tautology,[status(thm)],[])).
% 9.06/7.04 tff(35972,plain,
% 9.06/7.04 ((~((~v39(constB139)) <=> v1(constB139))) | v39(constB139)),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[35971, 16813])).
% 9.06/7.04 tff(35973,plain,
% 9.06/7.04 (v39(constB139)),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[35972, 35970])).
% 9.06/7.04 tff(35974,plain,
% 9.06/7.04 ((~((~v39(constB139)) | (~v9(constB139)))) | (~v39(constB139)) | (~v9(constB139))),
% 9.06/7.04 inference(tautology,[status(thm)],[])).
% 9.06/7.04 tff(35975,plain,
% 9.06/7.04 ((~((~v39(constB139)) | (~v9(constB139)))) | (~v9(constB139))),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[35974, 35973])).
% 9.06/7.04 tff(35976,plain,
% 9.06/7.04 (~((~v39(constB139)) | (~v9(constB139)))),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[35975, 35968])).
% 9.06/7.04 tff(35977,plain,
% 9.06/7.04 ((~(v197(constB139) <=> (~((~v39(constB139)) | (~v9(constB139)))))) | v197(constB139) | ((~v39(constB139)) | (~v9(constB139)))),
% 9.06/7.04 inference(tautology,[status(thm)],[])).
% 9.06/7.04 tff(35978,plain,
% 9.06/7.04 (v197(constB139)),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[35977, 35976, 35928])).
% 9.06/7.04 tff(35979,plain,
% 9.06/7.04 ((v197(constB139) | v26(constB139)) | (~v197(constB139))),
% 9.06/7.04 inference(tautology,[status(thm)],[])).
% 9.06/7.04 tff(35980,plain,
% 9.06/7.04 (v197(constB139) | v26(constB139)),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[35979, 35978])).
% 9.06/7.04 tff(35981,plain,
% 9.06/7.04 ((~(v196(constB139) <=> (v197(constB139) | v26(constB139)))) | v196(constB139) | (~(v197(constB139) | v26(constB139)))),
% 9.06/7.04 inference(tautology,[status(thm)],[])).
% 9.06/7.04 tff(35982,plain,
% 9.06/7.04 (v196(constB139)),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[35981, 35980, 35926])).
% 9.06/7.04 tff(35983,plain,
% 9.06/7.04 ((~((~v195(constB139)) <=> v196(constB139))) | (~v195(constB139)) | (~v196(constB139))),
% 9.06/7.04 inference(tautology,[status(thm)],[])).
% 9.06/7.04 tff(35984,plain,
% 9.06/7.04 (~v195(constB139)),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[35983, 35982, 35924])).
% 9.06/7.04 tff(35985,plain,
% 9.06/7.04 (((~v157(constB139)) | (~v195(constB139))) | v195(constB139)),
% 9.06/7.04 inference(tautology,[status(thm)],[])).
% 9.06/7.04 tff(35986,plain,
% 9.06/7.04 ((~v157(constB139)) | (~v195(constB139))),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[35985, 35984])).
% 9.06/7.04 tff(35987,plain,
% 9.06/7.04 ((~(v194(constB139) <=> (~((~v157(constB139)) | (~v195(constB139)))))) | (~v194(constB139)) | (~((~v157(constB139)) | (~v195(constB139))))),
% 9.06/7.04 inference(tautology,[status(thm)],[])).
% 9.06/7.04 tff(35988,plain,
% 9.06/7.04 (~v194(constB139)),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[35987, 35986, 35922])).
% 9.06/7.04 tff(35989,plain,
% 9.06/7.04 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB139) <=> (~((~v199(constB139)) | (~v200(constB139)))))),
% 9.06/7.04 inference(quant_inst,[status(thm)],[])).
% 9.06/7.04 tff(35990,plain,
% 9.06/7.04 (v198(constB139) <=> (~((~v199(constB139)) | (~v200(constB139))))),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[35989, 96])).
% 9.06/7.04 tff(35991,plain,
% 9.06/7.04 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB139) <=> (~((~v197(constB139)) | (~v201(constB139)))))),
% 9.06/7.04 inference(quant_inst,[status(thm)],[])).
% 9.06/7.04 tff(35992,plain,
% 9.06/7.04 (v200(constB139) <=> (~((~v197(constB139)) | (~v201(constB139))))),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[35991, 108])).
% 9.06/7.04 tff(35993,plain,
% 9.06/7.04 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB139) <=> (~((~v159(constB139)) | (~v161(constB139)))))),
% 9.06/7.04 inference(quant_inst,[status(thm)],[])).
% 9.06/7.04 tff(35994,plain,
% 9.06/7.04 (v201(constB139) <=> (~((~v159(constB139)) | (~v161(constB139))))),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[35993, 348])).
% 9.06/7.04 tff(35995,plain,
% 9.06/7.04 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB139) <=> v163(constB139))),
% 9.06/7.04 inference(quant_inst,[status(thm)],[])).
% 9.06/7.04 tff(35996,plain,
% 9.06/7.04 (v161(constB139) <=> v163(constB139)),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[35995, 357])).
% 9.06/7.04 tff(35997,plain,
% 9.06/7.04 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB139) <=> (v145(constB139) | v167(constB139)))),
% 9.06/7.04 inference(quant_inst,[status(thm)],[])).
% 9.06/7.04 tff(35998,plain,
% 9.06/7.04 (v166(constB139) <=> (v145(constB139) | v167(constB139))),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[35997, 369])).
% 9.06/7.04 tff(35999,plain,
% 9.06/7.04 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB139) <=> (v142(constB139) | v168(constB139)))),
% 9.06/7.04 inference(quant_inst,[status(thm)],[])).
% 9.06/7.04 tff(36000,plain,
% 9.06/7.04 (v167(constB139) <=> (v142(constB139) | v168(constB139))),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[35999, 381])).
% 9.06/7.04 tff(36001,plain,
% 9.06/7.04 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB139) <=> (v143(constB139) | v144(constB139)))),
% 9.06/7.04 inference(quant_inst,[status(thm)],[])).
% 9.06/7.04 tff(36002,plain,
% 9.06/7.04 (v142(constB139) <=> (v143(constB139) | v144(constB139))),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[36001, 10332])).
% 9.06/7.04 tff(36003,plain,
% 9.06/7.04 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB139) <=> (~((~v88(constB139, bitIndex1)) | v88(constB139, bitIndex2) | v88(constB139, bitIndex0))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB139) <=> (~((~v88(constB139, bitIndex1)) | v88(constB139, bitIndex2) | v88(constB139, bitIndex0)))))),
% 9.06/7.04 inference(rewrite,[status(thm)],[])).
% 9.06/7.04 tff(36004,plain,
% 9.06/7.04 ((v143(constB139) <=> (~(v88(constB139, bitIndex0) | v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1))))) <=> (v143(constB139) <=> (~((~v88(constB139, bitIndex1)) | v88(constB139, bitIndex2) | v88(constB139, bitIndex0))))),
% 9.06/7.04 inference(rewrite,[status(thm)],[])).
% 9.06/7.04 tff(36005,plain,
% 9.06/7.04 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB139) <=> (~(v88(constB139, bitIndex0) | v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB139) <=> (~((~v88(constB139, bitIndex1)) | v88(constB139, bitIndex2) | v88(constB139, bitIndex0)))))),
% 9.06/7.04 inference(monotonicity,[status(thm)],[36004])).
% 9.06/7.04 tff(36006,plain,
% 9.06/7.04 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB139) <=> (~(v88(constB139, bitIndex0) | v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB139) <=> (~((~v88(constB139, bitIndex1)) | v88(constB139, bitIndex2) | v88(constB139, bitIndex0)))))),
% 9.06/7.04 inference(transitivity,[status(thm)],[36005, 36003])).
% 9.06/7.04 tff(36007,plain,
% 9.06/7.04 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB139) <=> (~(v88(constB139, bitIndex0) | v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1)))))),
% 9.06/7.04 inference(quant_inst,[status(thm)],[])).
% 9.06/7.04 tff(36008,plain,
% 9.06/7.04 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB139) <=> (~((~v88(constB139, bitIndex1)) | v88(constB139, bitIndex2) | v88(constB139, bitIndex0))))),
% 9.06/7.04 inference(modus_ponens,[status(thm)],[36007, 36006])).
% 9.06/7.04 tff(36009,plain,
% 9.06/7.04 (v143(constB139) <=> (~((~v88(constB139, bitIndex1)) | v88(constB139, bitIndex2) | v88(constB139, bitIndex0)))),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[36008, 14770])).
% 9.06/7.04 tff(36010,plain,
% 9.06/7.04 ((~![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))) | (~(((~v88(constB139, bitIndex1)) <=> v90(constB139, bitIndex1)) | ((~v88(constB139, bitIndex2)) <=> v90(constB139, bitIndex2)) | ((~v88(constB139, bitIndex0)) <=> v90(constB139, bitIndex0))))),
% 9.06/7.04 inference(quant_inst,[status(thm)],[])).
% 9.06/7.04 tff(36011,plain,
% 9.06/7.04 (~(((~v88(constB139, bitIndex1)) <=> v90(constB139, bitIndex1)) | ((~v88(constB139, bitIndex2)) <=> v90(constB139, bitIndex2)) | ((~v88(constB139, bitIndex0)) <=> v90(constB139, bitIndex0)))),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[36010, 428])).
% 9.06/7.04 tff(36012,plain,
% 9.06/7.04 ((((~v88(constB139, bitIndex1)) <=> v90(constB139, bitIndex1)) | ((~v88(constB139, bitIndex2)) <=> v90(constB139, bitIndex2)) | ((~v88(constB139, bitIndex0)) <=> v90(constB139, bitIndex0))) | (~((~v88(constB139, bitIndex2)) <=> v90(constB139, bitIndex2)))),
% 9.06/7.04 inference(tautology,[status(thm)],[])).
% 9.06/7.04 tff(36013,plain,
% 9.06/7.04 (~((~v88(constB139, bitIndex2)) <=> v90(constB139, bitIndex2))),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[36012, 36011])).
% 9.06/7.04 tff(36014,plain,
% 9.06/7.04 (((~v88(constB139, bitIndex2)) <=> v90(constB139, bitIndex2)) | (~v88(constB139, bitIndex2)) | v90(constB139, bitIndex2)),
% 9.06/7.04 inference(tautology,[status(thm)],[])).
% 9.06/7.04 tff(36015,plain,
% 9.06/7.04 (~v88(constB139, bitIndex2)),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[36014, 19466, 36013])).
% 9.06/7.04 tff(36016,plain,
% 9.06/7.04 ((((~v88(constB139, bitIndex1)) <=> v90(constB139, bitIndex1)) | ((~v88(constB139, bitIndex2)) <=> v90(constB139, bitIndex2)) | ((~v88(constB139, bitIndex0)) <=> v90(constB139, bitIndex0))) | (~((~v88(constB139, bitIndex0)) <=> v90(constB139, bitIndex0)))),
% 9.06/7.04 inference(tautology,[status(thm)],[])).
% 9.06/7.04 tff(36017,plain,
% 9.06/7.04 (~((~v88(constB139, bitIndex0)) <=> v90(constB139, bitIndex0))),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[36016, 36011])).
% 9.06/7.04 tff(36018,plain,
% 9.06/7.04 (((~v88(constB139, bitIndex0)) <=> v90(constB139, bitIndex0)) | (~v88(constB139, bitIndex0)) | v90(constB139, bitIndex0)),
% 9.06/7.04 inference(tautology,[status(thm)],[])).
% 9.06/7.04 tff(36019,plain,
% 9.06/7.04 (~v88(constB139, bitIndex0)),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[36018, 19484, 36017])).
% 9.06/7.04 tff(36020,plain,
% 9.06/7.04 ((((~v88(constB139, bitIndex1)) <=> v90(constB139, bitIndex1)) | ((~v88(constB139, bitIndex2)) <=> v90(constB139, bitIndex2)) | ((~v88(constB139, bitIndex0)) <=> v90(constB139, bitIndex0))) | (~((~v88(constB139, bitIndex1)) <=> v90(constB139, bitIndex1)))),
% 9.06/7.04 inference(tautology,[status(thm)],[])).
% 9.06/7.04 tff(36021,plain,
% 9.06/7.04 (~((~v88(constB139, bitIndex1)) <=> v90(constB139, bitIndex1))),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[36020, 36011])).
% 9.06/7.04 tff(36022,plain,
% 9.06/7.04 (((~v88(constB139, bitIndex1)) <=> v90(constB139, bitIndex1)) | v88(constB139, bitIndex1) | (~v90(constB139, bitIndex1))),
% 9.06/7.04 inference(tautology,[status(thm)],[])).
% 9.06/7.04 tff(36023,plain,
% 9.06/7.04 (v88(constB139, bitIndex1)),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[36022, 19502, 36021])).
% 9.06/7.04 tff(36024,plain,
% 9.06/7.04 ((~((~v88(constB139, bitIndex1)) | v88(constB139, bitIndex2) | v88(constB139, bitIndex0))) | (~v88(constB139, bitIndex1)) | v88(constB139, bitIndex2) | v88(constB139, bitIndex0)),
% 9.06/7.04 inference(tautology,[status(thm)],[])).
% 9.06/7.04 tff(36025,plain,
% 9.06/7.04 (~((~v88(constB139, bitIndex1)) | v88(constB139, bitIndex2) | v88(constB139, bitIndex0))),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[36024, 36023, 36019, 36015])).
% 9.06/7.04 tff(36026,plain,
% 9.06/7.04 ((~(v143(constB139) <=> (~((~v88(constB139, bitIndex1)) | v88(constB139, bitIndex2) | v88(constB139, bitIndex0))))) | v143(constB139) | ((~v88(constB139, bitIndex1)) | v88(constB139, bitIndex2) | v88(constB139, bitIndex0))),
% 9.06/7.04 inference(tautology,[status(thm)],[])).
% 9.06/7.04 tff(36027,plain,
% 9.06/7.04 (v143(constB139)),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[36026, 36025, 36009])).
% 9.06/7.04 tff(36028,plain,
% 9.06/7.04 ((v143(constB139) | v144(constB139)) | (~v143(constB139))),
% 9.06/7.04 inference(tautology,[status(thm)],[])).
% 9.06/7.04 tff(36029,plain,
% 9.06/7.04 (v143(constB139) | v144(constB139)),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[36028, 36027])).
% 9.06/7.04 tff(36030,plain,
% 9.06/7.04 ((~(v142(constB139) <=> (v143(constB139) | v144(constB139)))) | v142(constB139) | (~(v143(constB139) | v144(constB139)))),
% 9.06/7.04 inference(tautology,[status(thm)],[])).
% 9.06/7.04 tff(36031,plain,
% 9.06/7.04 (v142(constB139)),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[36030, 36029, 36002])).
% 9.06/7.04 tff(36032,plain,
% 9.06/7.04 ((v142(constB139) | v168(constB139)) | (~v142(constB139))),
% 9.06/7.04 inference(tautology,[status(thm)],[])).
% 9.06/7.04 tff(36033,plain,
% 9.06/7.04 (v142(constB139) | v168(constB139)),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[36032, 36031])).
% 9.06/7.04 tff(36034,plain,
% 9.06/7.04 ((~(v167(constB139) <=> (v142(constB139) | v168(constB139)))) | v167(constB139) | (~(v142(constB139) | v168(constB139)))),
% 9.06/7.04 inference(tautology,[status(thm)],[])).
% 9.06/7.04 tff(36035,plain,
% 9.06/7.04 ((~(v167(constB139) <=> (v142(constB139) | v168(constB139)))) | v167(constB139)),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[36034, 36033])).
% 9.06/7.04 tff(36036,plain,
% 9.06/7.04 (v167(constB139)),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[36035, 36000])).
% 9.06/7.04 tff(36037,plain,
% 9.06/7.04 ((v145(constB139) | v167(constB139)) | (~v167(constB139))),
% 9.06/7.04 inference(tautology,[status(thm)],[])).
% 9.06/7.04 tff(36038,plain,
% 9.06/7.04 (v145(constB139) | v167(constB139)),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[36037, 36036])).
% 9.06/7.04 tff(36039,plain,
% 9.06/7.04 ((~(v166(constB139) <=> (v145(constB139) | v167(constB139)))) | v166(constB139) | (~(v145(constB139) | v167(constB139)))),
% 9.06/7.04 inference(tautology,[status(thm)],[])).
% 9.06/7.04 tff(36040,plain,
% 9.06/7.04 (v166(constB139)),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[36039, 36038, 35998])).
% 9.06/7.04 tff(36041,plain,
% 9.06/7.04 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB139)) | (v163(constB139) <=> v170(constB139)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB139)) | (v163(constB139) <=> v170(constB139)))),
% 9.06/7.04 inference(rewrite,[status(thm)],[])).
% 9.06/7.04 tff(36042,plain,
% 9.06/7.04 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB139)) | (v163(constB139) <=> v170(constB139)))),
% 9.06/7.04 inference(quant_inst,[status(thm)],[])).
% 9.06/7.04 tff(36043,plain,
% 9.06/7.04 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB139)) | (v163(constB139) <=> v170(constB139))),
% 9.06/7.04 inference(modus_ponens,[status(thm)],[36042, 36041])).
% 9.06/7.04 tff(36044,plain,
% 9.06/7.04 ((~v166(constB139)) | (v163(constB139) <=> v170(constB139))),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[36043, 9851])).
% 9.06/7.04 tff(36045,plain,
% 9.06/7.04 (v163(constB139) <=> v170(constB139)),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[36044, 36040])).
% 9.06/7.04 tff(36046,plain,
% 9.06/7.04 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB139) <=> (v142(constB139) | v150(constB139)))),
% 9.06/7.04 inference(quant_inst,[status(thm)],[])).
% 9.06/7.04 tff(36047,plain,
% 9.06/7.04 (v171(constB139) <=> (v142(constB139) | v150(constB139))),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[36046, 9866])).
% 9.06/7.04 tff(36048,plain,
% 9.06/7.04 ((v142(constB139) | v150(constB139)) | (~v142(constB139))),
% 9.06/7.04 inference(tautology,[status(thm)],[])).
% 9.06/7.04 tff(36049,plain,
% 9.06/7.04 (v142(constB139) | v150(constB139)),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[36048, 36031])).
% 9.06/7.04 tff(36050,plain,
% 9.06/7.04 ((~(v171(constB139) <=> (v142(constB139) | v150(constB139)))) | v171(constB139) | (~(v142(constB139) | v150(constB139)))),
% 9.06/7.04 inference(tautology,[status(thm)],[])).
% 9.06/7.04 tff(36051,plain,
% 9.06/7.04 ((~(v171(constB139) <=> (v142(constB139) | v150(constB139)))) | v171(constB139)),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[36050, 36049])).
% 9.06/7.04 tff(36052,plain,
% 9.06/7.04 (v171(constB139)),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[36051, 36047])).
% 9.06/7.04 tff(36053,plain,
% 9.06/7.04 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB139)) | (~v171(constB139)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB139)) | (~v171(constB139)))),
% 9.06/7.04 inference(rewrite,[status(thm)],[])).
% 9.06/7.04 tff(36054,plain,
% 9.06/7.04 (((~v171(constB139)) | (~v170(constB139))) <=> ((~v170(constB139)) | (~v171(constB139)))),
% 9.06/7.04 inference(rewrite,[status(thm)],[])).
% 9.06/7.04 tff(36055,plain,
% 9.06/7.04 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB139)) | (~v170(constB139)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB139)) | (~v171(constB139))))),
% 9.06/7.04 inference(monotonicity,[status(thm)],[36054])).
% 9.06/7.04 tff(36056,plain,
% 9.06/7.04 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB139)) | (~v170(constB139)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB139)) | (~v171(constB139)))),
% 9.06/7.04 inference(transitivity,[status(thm)],[36055, 36053])).
% 9.06/7.04 tff(36057,plain,
% 9.06/7.04 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB139)) | (~v170(constB139)))),
% 9.06/7.04 inference(quant_inst,[status(thm)],[])).
% 9.06/7.04 tff(36058,plain,
% 9.06/7.04 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB139)) | (~v171(constB139))),
% 9.06/7.04 inference(modus_ponens,[status(thm)],[36057, 36056])).
% 9.06/7.04 tff(36059,plain,
% 9.06/7.04 (~v170(constB139)),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[36058, 9899, 36052])).
% 9.06/7.04 tff(36060,plain,
% 9.06/7.04 ((~(v163(constB139) <=> v170(constB139))) | (~v163(constB139)) | v170(constB139)),
% 9.06/7.04 inference(tautology,[status(thm)],[])).
% 9.06/7.04 tff(36061,plain,
% 9.06/7.04 (~v163(constB139)),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[36060, 36059, 36045])).
% 9.06/7.04 tff(36062,plain,
% 9.06/7.04 ((~(v161(constB139) <=> v163(constB139))) | (~v161(constB139)) | v163(constB139)),
% 9.06/7.04 inference(tautology,[status(thm)],[])).
% 9.06/7.04 tff(36063,plain,
% 9.06/7.04 (~v161(constB139)),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[36062, 36061, 35996])).
% 9.06/7.04 tff(36064,plain,
% 9.06/7.04 (((~v159(constB139)) | (~v161(constB139))) | v161(constB139)),
% 9.06/7.04 inference(tautology,[status(thm)],[])).
% 9.06/7.04 tff(36065,plain,
% 9.06/7.04 ((~v159(constB139)) | (~v161(constB139))),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[36064, 36063])).
% 9.06/7.04 tff(36066,plain,
% 9.06/7.04 ((~(v201(constB139) <=> (~((~v159(constB139)) | (~v161(constB139)))))) | (~v201(constB139)) | (~((~v159(constB139)) | (~v161(constB139))))),
% 9.06/7.04 inference(tautology,[status(thm)],[])).
% 9.06/7.04 tff(36067,plain,
% 9.06/7.04 (~v201(constB139)),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[36066, 36065, 35994])).
% 9.06/7.04 tff(36068,plain,
% 9.06/7.04 (((~v197(constB139)) | (~v201(constB139))) | v201(constB139)),
% 9.06/7.04 inference(tautology,[status(thm)],[])).
% 9.06/7.04 tff(36069,plain,
% 9.06/7.04 ((~v197(constB139)) | (~v201(constB139))),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[36068, 36067])).
% 9.06/7.04 tff(36070,plain,
% 9.06/7.04 ((~(v200(constB139) <=> (~((~v197(constB139)) | (~v201(constB139)))))) | (~v200(constB139)) | (~((~v197(constB139)) | (~v201(constB139))))),
% 9.06/7.04 inference(tautology,[status(thm)],[])).
% 9.06/7.04 tff(36071,plain,
% 9.06/7.04 (~v200(constB139)),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[36070, 36069, 35992])).
% 9.06/7.04 tff(36072,plain,
% 9.06/7.04 (((~v199(constB139)) | (~v200(constB139))) | v200(constB139)),
% 9.06/7.04 inference(tautology,[status(thm)],[])).
% 9.06/7.04 tff(36073,plain,
% 9.06/7.04 ((~v199(constB139)) | (~v200(constB139))),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[36072, 36071])).
% 9.06/7.04 tff(36074,plain,
% 9.06/7.04 ((~(v198(constB139) <=> (~((~v199(constB139)) | (~v200(constB139)))))) | (~v198(constB139)) | (~((~v199(constB139)) | (~v200(constB139))))),
% 9.06/7.04 inference(tautology,[status(thm)],[])).
% 9.06/7.04 tff(36075,plain,
% 9.06/7.04 (~v198(constB139)),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[36074, 36073, 35990])).
% 9.06/7.04 tff(36076,plain,
% 9.06/7.04 ((~(v194(constB139) | v198(constB139))) | v194(constB139) | v198(constB139)),
% 9.06/7.04 inference(tautology,[status(thm)],[])).
% 9.06/7.04 tff(36077,plain,
% 9.06/7.04 (~(v194(constB139) | v198(constB139))),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[36076, 36075, 35988])).
% 9.06/7.04 tff(36078,plain,
% 9.06/7.04 ((~(v191(constB139) <=> (v194(constB139) | v198(constB139)))) | (~v191(constB139)) | (v194(constB139) | v198(constB139))),
% 9.06/7.04 inference(tautology,[status(thm)],[])).
% 9.06/7.04 tff(36079,plain,
% 9.06/7.04 (~v191(constB139)),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[36078, 36077, 35915])).
% 9.06/7.04 tff(36080,plain,
% 9.06/7.04 ((~(v193(constB140) <=> v191(constB139))) | (~v193(constB140)) | v191(constB139)),
% 9.06/7.04 inference(tautology,[status(thm)],[])).
% 9.06/7.04 tff(36081,plain,
% 9.06/7.04 (~v193(constB140)),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[36080, 36079, 35913])).
% 9.06/7.04 tff(36082,plain,
% 9.06/7.04 ((~(v157(constB140) <=> v193(constB140))) | (~v157(constB140)) | v193(constB140)),
% 9.06/7.04 inference(tautology,[status(thm)],[])).
% 9.06/7.04 tff(36083,plain,
% 9.06/7.04 (~v157(constB140)),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[36082, 36081, 35909])).
% 9.06/7.04 tff(36084,plain,
% 9.06/7.04 (((~v157(constB140)) | (~v195(constB140))) | v157(constB140)),
% 9.06/7.04 inference(tautology,[status(thm)],[])).
% 9.06/7.04 tff(36085,plain,
% 9.06/7.04 ((~v157(constB140)) | (~v195(constB140))),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[36084, 36083])).
% 9.06/7.04 tff(36086,plain,
% 9.06/7.04 ((~(v194(constB140) <=> (~((~v157(constB140)) | (~v195(constB140)))))) | (~v194(constB140)) | (~((~v157(constB140)) | (~v195(constB140))))),
% 9.06/7.04 inference(tautology,[status(thm)],[])).
% 9.06/7.04 tff(36087,plain,
% 9.06/7.04 (~v194(constB140)),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[36086, 36085, 35907])).
% 9.06/7.04 tff(36088,plain,
% 9.06/7.04 ((~(v194(constB140) | v198(constB140))) | v194(constB140) | v198(constB140)),
% 9.06/7.04 inference(tautology,[status(thm)],[])).
% 9.06/7.04 tff(36089,plain,
% 9.06/7.04 (~(v194(constB140) | v198(constB140))),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[36088, 36087, 35900])).
% 9.06/7.04 tff(36090,plain,
% 9.06/7.04 ((~(v191(constB140) <=> (v194(constB140) | v198(constB140)))) | (~v191(constB140)) | (v194(constB140) | v198(constB140))),
% 9.06/7.04 inference(tautology,[status(thm)],[])).
% 9.06/7.04 tff(36091,plain,
% 9.06/7.04 (~v191(constB140)),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[36090, 36089, 35875])).
% 9.06/7.04 tff(36092,plain,
% 9.06/7.04 ((~(v193(constB141) <=> v191(constB140))) | (~v193(constB141)) | v191(constB140)),
% 9.06/7.04 inference(tautology,[status(thm)],[])).
% 9.06/7.04 tff(36093,plain,
% 9.06/7.04 (~v193(constB141)),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[36092, 36091, 35873])).
% 9.06/7.04 tff(36094,plain,
% 9.06/7.04 ($false),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[36093, 35869])).
% 9.06/7.04 tff(36095,plain,(~(constB141 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.06/7.04 tff(36096,assumption,(constB25 = VarCurr!0), introduced(assumption)).
% 9.06/7.04 tff(36097,plain,
% 9.06/7.04 (v86(constB25) <=> v86(VarCurr!0)),
% 9.06/7.04 inference(monotonicity,[status(thm)],[36096])).
% 9.06/7.04 tff(36098,plain,
% 9.06/7.04 (v86(VarCurr!0) <=> v86(constB25)),
% 9.06/7.04 inference(symmetry,[status(thm)],[36097])).
% 9.06/7.04 tff(36099,plain,
% 9.06/7.04 ((~v86(VarCurr!0)) <=> (~v86(constB25))),
% 9.06/7.04 inference(monotonicity,[status(thm)],[36098])).
% 9.06/7.04 tff(36100,plain,
% 9.06/7.04 (~v86(constB25)),
% 9.06/7.04 inference(modus_ponens,[status(thm)],[14736, 36099])).
% 9.06/7.04 tff(36101,plain,
% 9.06/7.04 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB25) <=> (v136(constB25) | v145(constB25)))),
% 9.06/7.04 inference(quant_inst,[status(thm)],[])).
% 9.06/7.04 tff(36102,plain,
% 9.06/7.04 (v135(constB25) <=> (v136(constB25) | v145(constB25))),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[36101, 14744])).
% 9.06/7.04 tff(36103,plain,
% 9.06/7.04 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB25) <=> (v137(constB25) | v142(constB25)))),
% 9.06/7.04 inference(quant_inst,[status(thm)],[])).
% 9.06/7.04 tff(36104,plain,
% 9.06/7.04 (v136(constB25) <=> (v137(constB25) | v142(constB25))),
% 9.06/7.04 inference(unit_resolution,[status(thm)],[36103, 14753])).
% 9.06/7.04 tff(36105,plain,
% 9.06/7.04 ((v137(constB25) | v142(constB25)) | (~v142(constB25))),
% 9.06/7.04 inference(tautology,[status(thm)],[])).
% 9.06/7.04 tff(36106,plain,
% 9.06/7.04 (v137(constB25) | v142(constB25)),
% 9.06/7.05 inference(unit_resolution,[status(thm)],[36105, 32458])).
% 9.06/7.05 tff(36107,plain,
% 9.06/7.05 ((~(v136(constB25) <=> (v137(constB25) | v142(constB25)))) | v136(constB25) | (~(v137(constB25) | v142(constB25)))),
% 9.06/7.05 inference(tautology,[status(thm)],[])).
% 9.06/7.05 tff(36108,plain,
% 9.06/7.05 ((~(v136(constB25) <=> (v137(constB25) | v142(constB25)))) | v136(constB25)),
% 9.06/7.05 inference(unit_resolution,[status(thm)],[36107, 36106])).
% 9.06/7.05 tff(36109,plain,
% 9.06/7.05 (v136(constB25)),
% 9.06/7.05 inference(unit_resolution,[status(thm)],[36108, 36104])).
% 9.06/7.05 tff(36110,plain,
% 9.06/7.05 ((v136(constB25) | v145(constB25)) | (~v136(constB25))),
% 9.06/7.05 inference(tautology,[status(thm)],[])).
% 9.06/7.05 tff(36111,plain,
% 9.06/7.05 (v136(constB25) | v145(constB25)),
% 9.06/7.05 inference(unit_resolution,[status(thm)],[36110, 36109])).
% 9.06/7.05 tff(36112,plain,
% 9.06/7.05 ((~(v135(constB25) <=> (v136(constB25) | v145(constB25)))) | v135(constB25) | (~(v136(constB25) | v145(constB25)))),
% 9.06/7.05 inference(tautology,[status(thm)],[])).
% 9.06/7.05 tff(36113,plain,
% 9.06/7.05 (v135(constB25)),
% 9.06/7.05 inference(unit_resolution,[status(thm)],[36112, 36111, 36102])).
% 9.06/7.05 tff(36114,plain,
% 9.06/7.05 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB25)) | (v86(constB25) <=> v148(constB25)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB25)) | (v86(constB25) <=> v148(constB25)))),
% 9.06/7.05 inference(rewrite,[status(thm)],[])).
% 9.06/7.05 tff(36115,plain,
% 9.06/7.05 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB25)) | (v86(constB25) <=> v148(constB25)))),
% 9.06/7.05 inference(quant_inst,[status(thm)],[])).
% 9.06/7.05 tff(36116,plain,
% 9.06/7.05 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB25)) | (v86(constB25) <=> v148(constB25))),
% 9.06/7.05 inference(modus_ponens,[status(thm)],[36115, 36114])).
% 9.06/7.05 tff(36117,plain,
% 9.06/7.05 (v86(constB25) <=> v148(constB25)),
% 9.06/7.05 inference(unit_resolution,[status(thm)],[36116, 14818, 36113])).
% 9.06/7.05 tff(36118,plain,
% 9.06/7.05 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB25) | (~v142(constB25)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB25) | (~v142(constB25)))),
% 9.06/7.05 inference(rewrite,[status(thm)],[])).
% 9.06/7.05 tff(36119,plain,
% 9.06/7.05 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB25) | (~v142(constB25)))),
% 9.06/7.05 inference(quant_inst,[status(thm)],[])).
% 9.06/7.05 tff(36120,plain,
% 9.06/7.05 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB25) | (~v142(constB25))),
% 9.06/7.05 inference(modus_ponens,[status(thm)],[36119, 36118])).
% 9.06/7.05 tff(36121,plain,
% 9.06/7.05 (v148(constB25)),
% 9.06/7.05 inference(unit_resolution,[status(thm)],[36120, 14832, 32458])).
% 9.06/7.05 tff(36122,plain,
% 9.06/7.05 ((~(v86(constB25) <=> v148(constB25))) | v86(constB25) | (~v148(constB25))),
% 9.06/7.05 inference(tautology,[status(thm)],[])).
% 9.06/7.05 tff(36123,plain,
% 9.06/7.05 ((~(v86(constB25) <=> v148(constB25))) | v86(constB25)),
% 9.06/7.05 inference(unit_resolution,[status(thm)],[36122, 36121])).
% 9.06/7.05 tff(36124,plain,
% 9.06/7.05 (v86(constB25)),
% 9.06/7.05 inference(unit_resolution,[status(thm)],[36123, 36117])).
% 9.06/7.05 tff(36125,plain,
% 9.06/7.05 ($false),
% 9.06/7.05 inference(unit_resolution,[status(thm)],[36124, 36100])).
% 9.06/7.05 tff(36126,plain,(~(constB25 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.06/7.05 tff(36127,assumption,(constB103 = VarCurr!0), introduced(assumption)).
% 9.06/7.05 tff(36128,plain,
% 9.06/7.05 (v193(constB103) <=> v193(VarCurr!0)),
% 9.06/7.05 inference(monotonicity,[status(thm)],[36127])).
% 9.06/7.05 tff(36129,plain,
% 9.06/7.05 (v193(VarCurr!0) <=> v193(constB103)),
% 9.06/7.05 inference(symmetry,[status(thm)],[36128])).
% 9.06/7.05 tff(36130,plain,
% 9.06/7.05 (v193(constB103)),
% 9.06/7.05 inference(modus_ponens,[status(thm)],[59, 36129])).
% 9.06/7.05 tff(36131,plain,
% 9.06/7.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB102, constB103)) | (v193(constB103) <=> v191(constB102)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB102, constB103)) | (v193(constB103) <=> v191(constB102)))),
% 9.06/7.05 inference(rewrite,[status(thm)],[])).
% 9.06/7.05 tff(36132,plain,
% 9.06/7.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB102, constB103)) | (v193(constB103) <=> v191(constB102)))),
% 9.06/7.05 inference(quant_inst,[status(thm)],[])).
% 9.06/7.05 tff(36133,plain,
% 9.06/7.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB102, constB103)) | (v193(constB103) <=> v191(constB102))),
% 9.06/7.05 inference(modus_ponens,[status(thm)],[36132, 36131])).
% 9.06/7.05 tff(36134,plain,
% 9.06/7.05 (v193(constB103) <=> v191(constB102)),
% 9.06/7.05 inference(unit_resolution,[status(thm)],[36133, 10744, 70])).
% 9.06/7.05 tff(36135,plain,
% 9.06/7.05 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB102) <=> (v194(constB102) | v198(constB102)))),
% 9.06/7.05 inference(quant_inst,[status(thm)],[])).
% 9.06/7.05 tff(36136,plain,
% 9.06/7.05 (v191(constB102) <=> (v194(constB102) | v198(constB102))),
% 9.06/7.05 inference(unit_resolution,[status(thm)],[36135, 84])).
% 9.06/7.05 tff(36137,plain,
% 9.06/7.05 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB102) <=> (~((~v199(constB102)) | (~v200(constB102)))))),
% 9.06/7.05 inference(quant_inst,[status(thm)],[])).
% 9.06/7.05 tff(36138,plain,
% 9.06/7.05 (v198(constB102) <=> (~((~v199(constB102)) | (~v200(constB102))))),
% 9.06/7.05 inference(unit_resolution,[status(thm)],[36137, 96])).
% 9.06/7.05 tff(36139,plain,
% 9.06/7.05 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB102) <=> (~((~v197(constB102)) | (~v201(constB102)))))),
% 9.06/7.05 inference(quant_inst,[status(thm)],[])).
% 9.06/7.05 tff(36140,plain,
% 9.06/7.05 (v200(constB102) <=> (~((~v197(constB102)) | (~v201(constB102))))),
% 9.06/7.05 inference(unit_resolution,[status(thm)],[36139, 108])).
% 9.06/7.05 tff(36141,plain,
% 9.06/7.05 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB102) <=> (~((~v39(constB102)) | (~v9(constB102)))))),
% 9.06/7.05 inference(quant_inst,[status(thm)],[])).
% 9.06/7.05 tff(36142,plain,
% 9.06/7.05 (v197(constB102) <=> (~((~v39(constB102)) | (~v9(constB102))))),
% 9.06/7.05 inference(unit_resolution,[status(thm)],[36141, 120])).
% 9.06/7.05 tff(36143,plain,
% 9.06/7.05 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB102)) <=> v1(constB102))),
% 9.06/7.05 inference(quant_inst,[status(thm)],[])).
% 9.06/7.05 tff(36144,plain,
% 9.06/7.05 ((~v39(constB102)) <=> v1(constB102)),
% 9.06/7.05 inference(unit_resolution,[status(thm)],[36143, 129])).
% 9.06/7.05 tff(36145,plain,
% 9.06/7.05 ((~((~v39(constB102)) <=> v1(constB102))) | (~v39(constB102)) | (~v1(constB102))),
% 9.06/7.05 inference(tautology,[status(thm)],[])).
% 9.06/7.05 tff(36146,plain,
% 9.06/7.05 ((~((~v39(constB102)) <=> v1(constB102))) | (~v39(constB102))),
% 9.06/7.05 inference(unit_resolution,[status(thm)],[36145, 13082])).
% 9.06/7.05 tff(36147,plain,
% 9.06/7.05 (~v39(constB102)),
% 9.06/7.05 inference(unit_resolution,[status(thm)],[36146, 36144])).
% 9.06/7.05 tff(36148,plain,
% 9.06/7.05 (((~v39(constB102)) | (~v9(constB102))) | v39(constB102)),
% 9.06/7.05 inference(tautology,[status(thm)],[])).
% 9.06/7.05 tff(36149,plain,
% 9.06/7.05 ((~v39(constB102)) | (~v9(constB102))),
% 9.06/7.05 inference(unit_resolution,[status(thm)],[36148, 36147])).
% 9.06/7.05 tff(36150,plain,
% 9.06/7.05 ((~(v197(constB102) <=> (~((~v39(constB102)) | (~v9(constB102)))))) | (~v197(constB102)) | (~((~v39(constB102)) | (~v9(constB102))))),
% 9.06/7.05 inference(tautology,[status(thm)],[])).
% 9.06/7.05 tff(36151,plain,
% 9.06/7.05 ((~(v197(constB102) <=> (~((~v39(constB102)) | (~v9(constB102)))))) | (~v197(constB102))),
% 9.06/7.05 inference(unit_resolution,[status(thm)],[36150, 36149])).
% 9.06/7.05 tff(36152,plain,
% 9.06/7.05 (~v197(constB102)),
% 9.06/7.05 inference(unit_resolution,[status(thm)],[36151, 36142])).
% 9.06/7.05 tff(36153,plain,
% 9.06/7.05 (((~v197(constB102)) | (~v201(constB102))) | v197(constB102)),
% 9.06/7.05 inference(tautology,[status(thm)],[])).
% 9.06/7.05 tff(36154,plain,
% 9.06/7.05 ((~v197(constB102)) | (~v201(constB102))),
% 9.06/7.05 inference(unit_resolution,[status(thm)],[36153, 36152])).
% 9.06/7.05 tff(36155,plain,
% 9.06/7.05 ((~(v200(constB102) <=> (~((~v197(constB102)) | (~v201(constB102)))))) | (~v200(constB102)) | (~((~v197(constB102)) | (~v201(constB102))))),
% 9.06/7.05 inference(tautology,[status(thm)],[])).
% 9.06/7.05 tff(36156,plain,
% 9.06/7.05 ((~(v200(constB102) <=> (~((~v197(constB102)) | (~v201(constB102)))))) | (~v200(constB102))),
% 9.06/7.05 inference(unit_resolution,[status(thm)],[36155, 36154])).
% 9.06/7.05 tff(36157,plain,
% 9.06/7.05 (~v200(constB102)),
% 9.06/7.05 inference(unit_resolution,[status(thm)],[36156, 36140])).
% 9.06/7.05 tff(36158,plain,
% 9.06/7.05 (((~v199(constB102)) | (~v200(constB102))) | v200(constB102)),
% 9.06/7.05 inference(tautology,[status(thm)],[])).
% 9.06/7.05 tff(36159,plain,
% 9.06/7.05 ((~v199(constB102)) | (~v200(constB102))),
% 9.06/7.05 inference(unit_resolution,[status(thm)],[36158, 36157])).
% 9.06/7.05 tff(36160,plain,
% 9.06/7.05 ((~(v198(constB102) <=> (~((~v199(constB102)) | (~v200(constB102)))))) | (~v198(constB102)) | (~((~v199(constB102)) | (~v200(constB102))))),
% 9.06/7.05 inference(tautology,[status(thm)],[])).
% 9.06/7.05 tff(36161,plain,
% 9.06/7.05 (~v198(constB102)),
% 9.06/7.05 inference(unit_resolution,[status(thm)],[36160, 36159, 36138])).
% 9.06/7.05 tff(36162,plain,
% 9.06/7.05 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB102) <=> (~((~v157(constB102)) | (~v195(constB102)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB102) <=> (~((~v157(constB102)) | (~v195(constB102))))))),
% 9.06/7.05 inference(rewrite,[status(thm)],[])).
% 9.06/7.05 tff(36163,plain,
% 9.06/7.05 ((v194(constB102) <=> (~((~v195(constB102)) | (~v157(constB102))))) <=> (v194(constB102) <=> (~((~v157(constB102)) | (~v195(constB102)))))),
% 9.06/7.05 inference(rewrite,[status(thm)],[])).
% 9.06/7.05 tff(36164,plain,
% 9.06/7.05 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB102) <=> (~((~v195(constB102)) | (~v157(constB102)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB102) <=> (~((~v157(constB102)) | (~v195(constB102))))))),
% 9.06/7.05 inference(monotonicity,[status(thm)],[36163])).
% 9.06/7.05 tff(36165,plain,
% 9.06/7.05 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB102) <=> (~((~v195(constB102)) | (~v157(constB102)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB102) <=> (~((~v157(constB102)) | (~v195(constB102))))))),
% 9.06/7.05 inference(transitivity,[status(thm)],[36164, 36162])).
% 9.06/7.05 tff(36166,plain,
% 9.06/7.05 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB102) <=> (~((~v195(constB102)) | (~v157(constB102)))))),
% 9.06/7.05 inference(quant_inst,[status(thm)],[])).
% 9.06/7.05 tff(36167,plain,
% 9.06/7.05 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB102) <=> (~((~v157(constB102)) | (~v195(constB102)))))),
% 9.06/7.05 inference(modus_ponens,[status(thm)],[36166, 36165])).
% 9.06/7.05 tff(36168,plain,
% 9.06/7.05 (v194(constB102) <=> (~((~v157(constB102)) | (~v195(constB102))))),
% 9.06/7.05 inference(unit_resolution,[status(thm)],[36167, 161])).
% 9.06/7.05 tff(36169,plain,
% 9.06/7.05 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB102) <=> v193(constB102))),
% 9.06/7.05 inference(quant_inst,[status(thm)],[])).
% 9.06/7.05 tff(36170,plain,
% 9.06/7.05 (v157(constB102) <=> v193(constB102)),
% 9.06/7.05 inference(unit_resolution,[status(thm)],[36169, 13])).
% 9.06/7.05 tff(36171,plain,
% 9.06/7.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB101, constB102)) | (v193(constB102) <=> v191(constB101)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB101, constB102)) | (v193(constB102) <=> v191(constB101)))),
% 9.06/7.05 inference(rewrite,[status(thm)],[])).
% 9.06/7.05 tff(36172,plain,
% 9.06/7.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB101, constB102)) | (v193(constB102) <=> v191(constB101)))),
% 9.06/7.05 inference(quant_inst,[status(thm)],[])).
% 9.06/7.05 tff(36173,plain,
% 9.06/7.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB101, constB102)) | (v193(constB102) <=> v191(constB101))),
% 9.06/7.05 inference(modus_ponens,[status(thm)],[36172, 36171])).
% 9.06/7.05 tff(36174,plain,
% 9.06/7.05 (v193(constB102) <=> v191(constB101)),
% 9.06/7.05 inference(unit_resolution,[status(thm)],[36173, 10780, 70])).
% 9.06/7.05 tff(36175,plain,
% 9.06/7.05 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB101) <=> (v194(constB101) | v198(constB101)))),
% 9.06/7.05 inference(quant_inst,[status(thm)],[])).
% 9.06/7.05 tff(36176,plain,
% 9.06/7.05 (v191(constB101) <=> (v194(constB101) | v198(constB101))),
% 9.06/7.05 inference(unit_resolution,[status(thm)],[36175, 84])).
% 9.06/7.05 tff(36177,plain,
% 9.06/7.05 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB101) <=> (~((~v157(constB101)) | (~v195(constB101)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB101) <=> (~((~v157(constB101)) | (~v195(constB101))))))),
% 9.06/7.05 inference(rewrite,[status(thm)],[])).
% 9.06/7.05 tff(36178,plain,
% 9.06/7.05 ((v194(constB101) <=> (~((~v195(constB101)) | (~v157(constB101))))) <=> (v194(constB101) <=> (~((~v157(constB101)) | (~v195(constB101)))))),
% 9.06/7.05 inference(rewrite,[status(thm)],[])).
% 9.06/7.05 tff(36179,plain,
% 9.06/7.05 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB101) <=> (~((~v195(constB101)) | (~v157(constB101)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB101) <=> (~((~v157(constB101)) | (~v195(constB101))))))),
% 9.06/7.05 inference(monotonicity,[status(thm)],[36178])).
% 9.06/7.05 tff(36180,plain,
% 9.06/7.05 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB101) <=> (~((~v195(constB101)) | (~v157(constB101)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB101) <=> (~((~v157(constB101)) | (~v195(constB101))))))),
% 9.06/7.05 inference(transitivity,[status(thm)],[36179, 36177])).
% 9.06/7.05 tff(36181,plain,
% 9.06/7.05 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB101) <=> (~((~v195(constB101)) | (~v157(constB101)))))),
% 9.06/7.05 inference(quant_inst,[status(thm)],[])).
% 9.06/7.05 tff(36182,plain,
% 9.06/7.05 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB101) <=> (~((~v157(constB101)) | (~v195(constB101)))))),
% 9.06/7.05 inference(modus_ponens,[status(thm)],[36181, 36180])).
% 9.06/7.05 tff(36183,plain,
% 9.06/7.05 (v194(constB101) <=> (~((~v157(constB101)) | (~v195(constB101))))),
% 9.06/7.05 inference(unit_resolution,[status(thm)],[36182, 161])).
% 9.06/7.05 tff(36184,plain,
% 9.06/7.05 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB101)) <=> v196(constB101))),
% 9.06/7.05 inference(quant_inst,[status(thm)],[])).
% 9.06/7.05 tff(36185,plain,
% 9.06/7.05 ((~v195(constB101)) <=> v196(constB101)),
% 9.06/7.05 inference(unit_resolution,[status(thm)],[36184, 193])).
% 9.06/7.05 tff(36186,plain,
% 9.06/7.05 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB101) <=> (v197(constB101) | v26(constB101)))),
% 9.06/7.05 inference(quant_inst,[status(thm)],[])).
% 9.06/7.05 tff(36187,plain,
% 9.06/7.05 (v196(constB101) <=> (v197(constB101) | v26(constB101))),
% 9.06/7.05 inference(unit_resolution,[status(thm)],[36186, 202])).
% 9.06/7.05 tff(36188,plain,
% 9.06/7.05 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB101) <=> (~((~v39(constB101)) | (~v9(constB101)))))),
% 9.06/7.05 inference(quant_inst,[status(thm)],[])).
% 9.06/7.05 tff(36189,plain,
% 9.06/7.05 (v197(constB101) <=> (~((~v39(constB101)) | (~v9(constB101))))),
% 9.06/7.05 inference(unit_resolution,[status(thm)],[36188, 120])).
% 9.06/7.05 tff(36190,plain,
% 9.06/7.05 (((~![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)))),
% 9.06/7.05 inference(rewrite,[status(thm)],[])).
% 9.06/7.05 tff(36191,plain,
% 9.06/7.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB101, constB102)) | (v13(constB102) <=> v9(constB101)))),
% 9.06/7.05 inference(quant_inst,[status(thm)],[])).
% 9.06/7.05 tff(36192,plain,
% 9.06/7.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB101, constB102)) | (v13(constB102) <=> v9(constB101))),
% 9.06/7.05 inference(modus_ponens,[status(thm)],[36191, 36190])).
% 9.06/7.05 tff(36193,plain,
% 9.06/7.05 (v13(constB102) <=> v9(constB101)),
% 9.06/7.05 inference(unit_resolution,[status(thm)],[36192, 10780, 216])).
% 9.06/7.05 tff(36194,plain,
% 9.06/7.05 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB102) <=> v13(constB102))),
% 9.06/7.05 inference(quant_inst,[status(thm)],[])).
% 9.06/7.05 tff(36195,plain,
% 9.06/7.05 (v6(constB102) <=> v13(constB102)),
% 9.06/7.05 inference(unit_resolution,[status(thm)],[36194, 230])).
% 9.06/7.05 tff(36196,plain,
% 9.06/7.05 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB102)) <=> v6(constB102))),
% 9.06/7.05 inference(quant_inst,[status(thm)],[])).
% 9.06/7.05 tff(36197,plain,
% 9.06/7.05 ((~v21(constB102)) <=> v6(constB102)),
% 9.06/7.05 inference(unit_resolution,[status(thm)],[36196, 239])).
% 9.06/7.05 tff(36198,plain,
% 9.06/7.05 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB102) <=> (v20(constB102) | v21(constB102)))),
% 9.06/7.05 inference(quant_inst,[status(thm)],[])).
% 9.06/7.05 tff(36199,plain,
% 9.06/7.05 (v19(constB102) <=> (v20(constB102) | v21(constB102))),
% 9.06/7.05 inference(unit_resolution,[status(thm)],[36198, 248])).
% 9.06/7.05 tff(36200,plain,
% 9.06/7.05 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB102) <=> (~((~v19(constB102)) | (~v22(constB102)))))),
% 9.06/7.05 inference(quant_inst,[status(thm)],[])).
% 9.06/7.05 tff(36201,plain,
% 9.06/7.05 (v18(constB102) <=> (~((~v19(constB102)) | (~v22(constB102))))),
% 9.06/7.05 inference(unit_resolution,[status(thm)],[36200, 260])).
% 9.06/7.05 tff(36202,plain,
% 9.06/7.05 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB102)) <=> v18(constB102))),
% 9.06/7.05 inference(quant_inst,[status(thm)],[])).
% 9.06/7.05 tff(36203,plain,
% 9.06/7.05 ((~v4(constB102)) <=> v18(constB102)),
% 9.06/7.05 inference(unit_resolution,[status(thm)],[36202, 269])).
% 9.06/7.05 tff(36204,plain,
% 9.06/7.05 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB102)),
% 9.06/7.05 inference(quant_inst,[status(thm)],[])).
% 9.06/7.05 tff(36205,plain,
% 9.06/7.05 (v4(constB102)),
% 9.06/7.05 inference(unit_resolution,[status(thm)],[36204, 278])).
% 9.06/7.05 tff(36206,plain,
% 9.06/7.05 ((~((~v4(constB102)) <=> v18(constB102))) | (~v4(constB102)) | (~v18(constB102))),
% 9.06/7.05 inference(tautology,[status(thm)],[])).
% 9.06/7.05 tff(36207,plain,
% 9.06/7.05 (~v18(constB102)),
% 9.06/7.05 inference(unit_resolution,[status(thm)],[36206, 36205, 36203])).
% 9.06/7.05 tff(36208,plain,
% 9.06/7.05 ((~(v18(constB102) <=> (~((~v19(constB102)) | (~v22(constB102)))))) | v18(constB102) | ((~v19(constB102)) | (~v22(constB102)))),
% 9.06/7.05 inference(tautology,[status(thm)],[])).
% 9.06/7.05 tff(36209,plain,
% 9.06/7.05 ((~v19(constB102)) | (~v22(constB102))),
% 9.06/7.05 inference(unit_resolution,[status(thm)],[36208, 36207, 36201])).
% 9.06/7.05 tff(36210,plain,
% 9.06/7.05 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB102) <=> (v1(constB102) | v6(constB102)))),
% 9.06/7.05 inference(quant_inst,[status(thm)],[])).
% 9.06/7.05 tff(36211,plain,
% 9.06/7.05 (v22(constB102) <=> (v1(constB102) | v6(constB102))),
% 9.06/7.05 inference(unit_resolution,[status(thm)],[36210, 291])).
% 9.06/7.05 tff(36212,plain,
% 9.06/7.05 ((v1(constB102) | v6(constB102)) | (~v1(constB102))),
% 9.06/7.05 inference(tautology,[status(thm)],[])).
% 9.06/7.05 tff(36213,plain,
% 9.06/7.05 (v1(constB102) | v6(constB102)),
% 9.06/7.05 inference(unit_resolution,[status(thm)],[36212, 13082])).
% 9.06/7.05 tff(36214,plain,
% 9.06/7.05 ((~(v22(constB102) <=> (v1(constB102) | v6(constB102)))) | v22(constB102) | (~(v1(constB102) | v6(constB102)))),
% 9.06/7.05 inference(tautology,[status(thm)],[])).
% 9.06/7.05 tff(36215,plain,
% 9.06/7.05 ((~(v22(constB102) <=> (v1(constB102) | v6(constB102)))) | v22(constB102)),
% 9.06/7.05 inference(unit_resolution,[status(thm)],[36214, 36213])).
% 9.06/7.05 tff(36216,plain,
% 9.06/7.05 (v22(constB102)),
% 9.06/7.05 inference(unit_resolution,[status(thm)],[36215, 36211])).
% 9.06/7.05 tff(36217,plain,
% 9.06/7.05 ((~((~v19(constB102)) | (~v22(constB102)))) | (~v19(constB102)) | (~v22(constB102))),
% 9.06/7.05 inference(tautology,[status(thm)],[])).
% 9.06/7.05 tff(36218,plain,
% 9.06/7.05 ((~((~v19(constB102)) | (~v22(constB102)))) | (~v19(constB102))),
% 9.06/7.05 inference(unit_resolution,[status(thm)],[36217, 36216])).
% 9.06/7.05 tff(36219,plain,
% 9.06/7.05 (~v19(constB102)),
% 9.06/7.05 inference(unit_resolution,[status(thm)],[36218, 36209])).
% 9.06/7.05 tff(36220,plain,
% 9.06/7.05 ((~(v19(constB102) <=> (v20(constB102) | v21(constB102)))) | v19(constB102) | (~(v20(constB102) | v21(constB102)))),
% 9.06/7.05 inference(tautology,[status(thm)],[])).
% 9.06/7.05 tff(36221,plain,
% 9.06/7.05 (~(v20(constB102) | v21(constB102))),
% 9.06/7.05 inference(unit_resolution,[status(thm)],[36220, 36219, 36199])).
% 9.06/7.05 tff(36222,plain,
% 9.06/7.05 ((v20(constB102) | v21(constB102)) | (~v21(constB102))),
% 9.14/7.05 inference(tautology,[status(thm)],[])).
% 9.14/7.05 tff(36223,plain,
% 9.14/7.05 (~v21(constB102)),
% 9.14/7.05 inference(unit_resolution,[status(thm)],[36222, 36221])).
% 9.14/7.05 tff(36224,plain,
% 9.14/7.05 ((~((~v21(constB102)) <=> v6(constB102))) | v21(constB102) | v6(constB102)),
% 9.14/7.05 inference(tautology,[status(thm)],[])).
% 9.14/7.05 tff(36225,plain,
% 9.14/7.05 (v6(constB102)),
% 9.14/7.05 inference(unit_resolution,[status(thm)],[36224, 36223, 36197])).
% 9.14/7.05 tff(36226,plain,
% 9.14/7.05 ((~(v6(constB102) <=> v13(constB102))) | (~v6(constB102)) | v13(constB102)),
% 9.14/7.05 inference(tautology,[status(thm)],[])).
% 9.14/7.05 tff(36227,plain,
% 9.14/7.05 (v13(constB102)),
% 9.14/7.05 inference(unit_resolution,[status(thm)],[36226, 36225, 36195])).
% 9.14/7.05 tff(36228,plain,
% 9.14/7.05 ((~(v13(constB102) <=> v9(constB101))) | (~v13(constB102)) | v9(constB101)),
% 9.14/7.05 inference(tautology,[status(thm)],[])).
% 9.14/7.05 tff(36229,plain,
% 9.14/7.05 (v9(constB101)),
% 9.14/7.05 inference(unit_resolution,[status(thm)],[36228, 36227, 36193])).
% 9.14/7.05 tff(36230,plain,
% 9.14/7.05 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB101)) <=> v1(constB101))),
% 9.14/7.05 inference(quant_inst,[status(thm)],[])).
% 9.14/7.05 tff(36231,plain,
% 9.14/7.05 ((~v39(constB101)) <=> v1(constB101)),
% 9.14/7.05 inference(unit_resolution,[status(thm)],[36230, 129])).
% 9.14/7.05 tff(36232,plain,
% 9.14/7.05 ((~((~v39(constB101)) <=> v1(constB101))) | v39(constB101) | v1(constB101)),
% 9.14/7.05 inference(tautology,[status(thm)],[])).
% 9.14/7.05 tff(36233,plain,
% 9.14/7.05 ((~((~v39(constB101)) <=> v1(constB101))) | v39(constB101)),
% 9.14/7.05 inference(unit_resolution,[status(thm)],[36232, 10824])).
% 9.14/7.05 tff(36234,plain,
% 9.14/7.05 (v39(constB101)),
% 9.14/7.05 inference(unit_resolution,[status(thm)],[36233, 36231])).
% 9.14/7.05 tff(36235,plain,
% 9.14/7.05 ((~((~v39(constB101)) | (~v9(constB101)))) | (~v39(constB101)) | (~v9(constB101))),
% 9.14/7.05 inference(tautology,[status(thm)],[])).
% 9.14/7.05 tff(36236,plain,
% 9.14/7.05 ((~((~v39(constB101)) | (~v9(constB101)))) | (~v9(constB101))),
% 9.14/7.05 inference(unit_resolution,[status(thm)],[36235, 36234])).
% 9.14/7.05 tff(36237,plain,
% 9.14/7.05 (~((~v39(constB101)) | (~v9(constB101)))),
% 9.14/7.05 inference(unit_resolution,[status(thm)],[36236, 36229])).
% 9.14/7.05 tff(36238,plain,
% 9.14/7.05 ((~(v197(constB101) <=> (~((~v39(constB101)) | (~v9(constB101)))))) | v197(constB101) | ((~v39(constB101)) | (~v9(constB101)))),
% 9.14/7.05 inference(tautology,[status(thm)],[])).
% 9.14/7.05 tff(36239,plain,
% 9.14/7.05 (v197(constB101)),
% 9.14/7.05 inference(unit_resolution,[status(thm)],[36238, 36237, 36189])).
% 9.14/7.05 tff(36240,plain,
% 9.14/7.05 ((v197(constB101) | v26(constB101)) | (~v197(constB101))),
% 9.14/7.05 inference(tautology,[status(thm)],[])).
% 9.14/7.05 tff(36241,plain,
% 9.14/7.05 (v197(constB101) | v26(constB101)),
% 9.14/7.05 inference(unit_resolution,[status(thm)],[36240, 36239])).
% 9.14/7.05 tff(36242,plain,
% 9.14/7.05 ((~(v196(constB101) <=> (v197(constB101) | v26(constB101)))) | v196(constB101) | (~(v197(constB101) | v26(constB101)))),
% 9.14/7.05 inference(tautology,[status(thm)],[])).
% 9.14/7.05 tff(36243,plain,
% 9.14/7.05 (v196(constB101)),
% 9.14/7.05 inference(unit_resolution,[status(thm)],[36242, 36241, 36187])).
% 9.14/7.05 tff(36244,plain,
% 9.14/7.05 ((~((~v195(constB101)) <=> v196(constB101))) | (~v195(constB101)) | (~v196(constB101))),
% 9.14/7.05 inference(tautology,[status(thm)],[])).
% 9.14/7.05 tff(36245,plain,
% 9.14/7.05 (~v195(constB101)),
% 9.14/7.05 inference(unit_resolution,[status(thm)],[36244, 36243, 36185])).
% 9.14/7.05 tff(36246,plain,
% 9.14/7.05 (((~v157(constB101)) | (~v195(constB101))) | v195(constB101)),
% 9.14/7.05 inference(tautology,[status(thm)],[])).
% 9.14/7.05 tff(36247,plain,
% 9.14/7.05 ((~v157(constB101)) | (~v195(constB101))),
% 9.14/7.05 inference(unit_resolution,[status(thm)],[36246, 36245])).
% 9.14/7.05 tff(36248,plain,
% 9.14/7.05 ((~(v194(constB101) <=> (~((~v157(constB101)) | (~v195(constB101)))))) | (~v194(constB101)) | (~((~v157(constB101)) | (~v195(constB101))))),
% 9.14/7.05 inference(tautology,[status(thm)],[])).
% 9.14/7.05 tff(36249,plain,
% 9.14/7.05 (~v194(constB101)),
% 9.14/7.05 inference(unit_resolution,[status(thm)],[36248, 36247, 36183])).
% 9.14/7.05 tff(36250,plain,
% 9.14/7.05 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB101) <=> (~((~v199(constB101)) | (~v200(constB101)))))),
% 9.14/7.05 inference(quant_inst,[status(thm)],[])).
% 9.14/7.05 tff(36251,plain,
% 9.14/7.05 (v198(constB101) <=> (~((~v199(constB101)) | (~v200(constB101))))),
% 9.14/7.05 inference(unit_resolution,[status(thm)],[36250, 96])).
% 9.14/7.05 tff(36252,plain,
% 9.14/7.05 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB101) <=> (~((~v197(constB101)) | (~v201(constB101)))))),
% 9.14/7.05 inference(quant_inst,[status(thm)],[])).
% 9.14/7.05 tff(36253,plain,
% 9.14/7.05 (v200(constB101) <=> (~((~v197(constB101)) | (~v201(constB101))))),
% 9.14/7.05 inference(unit_resolution,[status(thm)],[36252, 108])).
% 9.14/7.05 tff(36254,plain,
% 9.14/7.05 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB101) <=> (~((~v159(constB101)) | (~v161(constB101)))))),
% 9.14/7.05 inference(quant_inst,[status(thm)],[])).
% 9.14/7.05 tff(36255,plain,
% 9.14/7.05 (v201(constB101) <=> (~((~v159(constB101)) | (~v161(constB101))))),
% 9.14/7.05 inference(unit_resolution,[status(thm)],[36254, 348])).
% 9.14/7.05 tff(36256,plain,
% 9.14/7.05 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB101) <=> v163(constB101))),
% 9.14/7.05 inference(quant_inst,[status(thm)],[])).
% 9.14/7.05 tff(36257,plain,
% 9.14/7.05 (v161(constB101) <=> v163(constB101)),
% 9.14/7.05 inference(unit_resolution,[status(thm)],[36256, 357])).
% 9.14/7.05 tff(36258,plain,
% 9.14/7.05 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB101) <=> (v145(constB101) | v167(constB101)))),
% 9.14/7.05 inference(quant_inst,[status(thm)],[])).
% 9.14/7.05 tff(36259,plain,
% 9.14/7.05 (v166(constB101) <=> (v145(constB101) | v167(constB101))),
% 9.14/7.05 inference(unit_resolution,[status(thm)],[36258, 369])).
% 9.14/7.05 tff(36260,plain,
% 9.14/7.05 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB101) <=> (v142(constB101) | v168(constB101)))),
% 9.14/7.05 inference(quant_inst,[status(thm)],[])).
% 9.14/7.05 tff(36261,plain,
% 9.14/7.05 (v167(constB101) <=> (v142(constB101) | v168(constB101))),
% 9.14/7.05 inference(unit_resolution,[status(thm)],[36260, 381])).
% 9.14/7.05 tff(36262,plain,
% 9.14/7.05 ((~![VarCurr: $i] : (v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr)))) | (v168(constB101) <=> (v141(constB101) | v169(constB101)))),
% 9.14/7.05 inference(quant_inst,[status(thm)],[])).
% 9.14/7.05 tff(36263,plain,
% 9.14/7.05 (v168(constB101) <=> (v141(constB101) | v169(constB101))),
% 9.14/7.05 inference(unit_resolution,[status(thm)],[36262, 393])).
% 9.14/7.05 tff(36264,plain,
% 9.14/7.05 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB101) <=> (~((~v88(constB101, bitIndex1)) | v88(constB101, bitIndex2) | (~v88(constB101, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB101) <=> (~((~v88(constB101, bitIndex1)) | v88(constB101, bitIndex2) | (~v88(constB101, bitIndex0))))))),
% 9.14/7.05 inference(rewrite,[status(thm)],[])).
% 9.14/7.05 tff(36265,plain,
% 9.14/7.05 ((v141(constB101) <=> (~(v88(constB101, bitIndex2) | (~v88(constB101, bitIndex1)) | (~v88(constB101, bitIndex0))))) <=> (v141(constB101) <=> (~((~v88(constB101, bitIndex1)) | v88(constB101, bitIndex2) | (~v88(constB101, bitIndex0)))))),
% 9.14/7.05 inference(rewrite,[status(thm)],[])).
% 9.14/7.05 tff(36266,plain,
% 9.14/7.05 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB101) <=> (~(v88(constB101, bitIndex2) | (~v88(constB101, bitIndex1)) | (~v88(constB101, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB101) <=> (~((~v88(constB101, bitIndex1)) | v88(constB101, bitIndex2) | (~v88(constB101, bitIndex0))))))),
% 9.14/7.05 inference(monotonicity,[status(thm)],[36265])).
% 9.14/7.05 tff(36267,plain,
% 9.14/7.05 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB101) <=> (~(v88(constB101, bitIndex2) | (~v88(constB101, bitIndex1)) | (~v88(constB101, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB101) <=> (~((~v88(constB101, bitIndex1)) | v88(constB101, bitIndex2) | (~v88(constB101, bitIndex0))))))),
% 9.14/7.05 inference(transitivity,[status(thm)],[36266, 36264])).
% 9.14/7.05 tff(36268,plain,
% 9.14/7.05 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB101) <=> (~(v88(constB101, bitIndex2) | (~v88(constB101, bitIndex1)) | (~v88(constB101, bitIndex0)))))),
% 9.14/7.05 inference(quant_inst,[status(thm)],[])).
% 9.14/7.05 tff(36269,plain,
% 9.14/7.05 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB101) <=> (~((~v88(constB101, bitIndex1)) | v88(constB101, bitIndex2) | (~v88(constB101, bitIndex0)))))),
% 9.14/7.05 inference(modus_ponens,[status(thm)],[36268, 36267])).
% 9.14/7.05 tff(36270,plain,
% 9.14/7.05 (v141(constB101) <=> (~((~v88(constB101, bitIndex1)) | v88(constB101, bitIndex2) | (~v88(constB101, bitIndex0))))),
% 9.14/7.05 inference(unit_resolution,[status(thm)],[36269, 408])).
% 9.14/7.05 tff(36271,plain,
% 9.14/7.05 ((~![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))) | (~(((~v88(constB101, bitIndex1)) <=> v90(constB101, bitIndex1)) | ((~v88(constB101, bitIndex2)) <=> v90(constB101, bitIndex2)) | ((~v88(constB101, bitIndex0)) <=> v90(constB101, bitIndex0))))),
% 9.14/7.05 inference(quant_inst,[status(thm)],[])).
% 9.14/7.05 tff(36272,plain,
% 9.14/7.05 (~(((~v88(constB101, bitIndex1)) <=> v90(constB101, bitIndex1)) | ((~v88(constB101, bitIndex2)) <=> v90(constB101, bitIndex2)) | ((~v88(constB101, bitIndex0)) <=> v90(constB101, bitIndex0)))),
% 9.14/7.05 inference(unit_resolution,[status(thm)],[36271, 428])).
% 9.14/7.05 tff(36273,plain,
% 9.14/7.05 ((((~v88(constB101, bitIndex1)) <=> v90(constB101, bitIndex1)) | ((~v88(constB101, bitIndex2)) <=> v90(constB101, bitIndex2)) | ((~v88(constB101, bitIndex0)) <=> v90(constB101, bitIndex0))) | (~((~v88(constB101, bitIndex2)) <=> v90(constB101, bitIndex2)))),
% 9.14/7.05 inference(tautology,[status(thm)],[])).
% 9.14/7.05 tff(36274,plain,
% 9.14/7.05 (~((~v88(constB101, bitIndex2)) <=> v90(constB101, bitIndex2))),
% 9.14/7.05 inference(unit_resolution,[status(thm)],[36273, 36272])).
% 9.14/7.05 tff(36275,plain,
% 9.14/7.05 (((~v88(constB101, bitIndex2)) <=> v90(constB101, bitIndex2)) | (~v88(constB101, bitIndex2)) | v90(constB101, bitIndex2)),
% 9.14/7.05 inference(tautology,[status(thm)],[])).
% 9.14/7.05 tff(36276,plain,
% 9.14/7.05 (~v88(constB101, bitIndex2)),
% 9.14/7.05 inference(unit_resolution,[status(thm)],[36275, 13001, 36274])).
% 9.14/7.05 tff(36277,plain,
% 9.14/7.05 ((((~v88(constB101, bitIndex1)) <=> v90(constB101, bitIndex1)) | ((~v88(constB101, bitIndex2)) <=> v90(constB101, bitIndex2)) | ((~v88(constB101, bitIndex0)) <=> v90(constB101, bitIndex0))) | (~((~v88(constB101, bitIndex0)) <=> v90(constB101, bitIndex0)))),
% 9.14/7.05 inference(tautology,[status(thm)],[])).
% 9.14/7.05 tff(36278,plain,
% 9.14/7.05 (~((~v88(constB101, bitIndex0)) <=> v90(constB101, bitIndex0))),
% 9.14/7.05 inference(unit_resolution,[status(thm)],[36277, 36272])).
% 9.14/7.05 tff(36279,plain,
% 9.14/7.05 (((~v88(constB101, bitIndex0)) <=> v90(constB101, bitIndex0)) | v88(constB101, bitIndex0) | (~v90(constB101, bitIndex0))),
% 9.14/7.05 inference(tautology,[status(thm)],[])).
% 9.14/7.05 tff(36280,plain,
% 9.14/7.05 (v88(constB101, bitIndex0)),
% 9.14/7.05 inference(unit_resolution,[status(thm)],[36279, 13019, 36278])).
% 9.14/7.05 tff(36281,plain,
% 9.14/7.05 ((((~v88(constB101, bitIndex1)) <=> v90(constB101, bitIndex1)) | ((~v88(constB101, bitIndex2)) <=> v90(constB101, bitIndex2)) | ((~v88(constB101, bitIndex0)) <=> v90(constB101, bitIndex0))) | (~((~v88(constB101, bitIndex1)) <=> v90(constB101, bitIndex1)))),
% 9.14/7.05 inference(tautology,[status(thm)],[])).
% 9.14/7.05 tff(36282,plain,
% 9.14/7.05 (~((~v88(constB101, bitIndex1)) <=> v90(constB101, bitIndex1))),
% 9.14/7.05 inference(unit_resolution,[status(thm)],[36281, 36272])).
% 9.14/7.05 tff(36283,plain,
% 9.14/7.05 (((~v88(constB101, bitIndex1)) <=> v90(constB101, bitIndex1)) | v88(constB101, bitIndex1) | (~v90(constB101, bitIndex1))),
% 9.14/7.05 inference(tautology,[status(thm)],[])).
% 9.14/7.05 tff(36284,plain,
% 9.14/7.05 (v88(constB101, bitIndex1)),
% 9.14/7.05 inference(unit_resolution,[status(thm)],[36283, 13037, 36282])).
% 9.14/7.05 tff(36285,plain,
% 9.14/7.05 ((~((~v88(constB101, bitIndex1)) | v88(constB101, bitIndex2) | (~v88(constB101, bitIndex0)))) | (~v88(constB101, bitIndex1)) | v88(constB101, bitIndex2) | (~v88(constB101, bitIndex0))),
% 9.14/7.05 inference(tautology,[status(thm)],[])).
% 9.14/7.05 tff(36286,plain,
% 9.14/7.05 (~((~v88(constB101, bitIndex1)) | v88(constB101, bitIndex2) | (~v88(constB101, bitIndex0)))),
% 9.14/7.05 inference(unit_resolution,[status(thm)],[36285, 36284, 36280, 36276])).
% 9.14/7.05 tff(36287,plain,
% 9.14/7.05 ((~(v141(constB101) <=> (~((~v88(constB101, bitIndex1)) | v88(constB101, bitIndex2) | (~v88(constB101, bitIndex0)))))) | v141(constB101) | ((~v88(constB101, bitIndex1)) | v88(constB101, bitIndex2) | (~v88(constB101, bitIndex0)))),
% 9.14/7.05 inference(tautology,[status(thm)],[])).
% 9.14/7.05 tff(36288,plain,
% 9.14/7.05 (v141(constB101)),
% 9.14/7.05 inference(unit_resolution,[status(thm)],[36287, 36286, 36270])).
% 9.14/7.05 tff(36289,plain,
% 9.14/7.05 ((v141(constB101) | v169(constB101)) | (~v141(constB101))),
% 9.14/7.05 inference(tautology,[status(thm)],[])).
% 9.14/7.05 tff(36290,plain,
% 9.14/7.05 (v141(constB101) | v169(constB101)),
% 9.14/7.05 inference(unit_resolution,[status(thm)],[36289, 36288])).
% 9.14/7.05 tff(36291,plain,
% 9.14/7.05 ((~(v168(constB101) <=> (v141(constB101) | v169(constB101)))) | v168(constB101) | (~(v141(constB101) | v169(constB101)))),
% 9.14/7.05 inference(tautology,[status(thm)],[])).
% 9.14/7.05 tff(36292,plain,
% 9.14/7.05 (v168(constB101)),
% 9.14/7.05 inference(unit_resolution,[status(thm)],[36291, 36290, 36263])).
% 9.14/7.05 tff(36293,plain,
% 9.14/7.05 ((v142(constB101) | v168(constB101)) | (~v168(constB101))),
% 9.14/7.05 inference(tautology,[status(thm)],[])).
% 9.14/7.05 tff(36294,plain,
% 9.14/7.05 (v142(constB101) | v168(constB101)),
% 9.14/7.05 inference(unit_resolution,[status(thm)],[36293, 36292])).
% 9.14/7.05 tff(36295,plain,
% 9.14/7.05 ((~(v167(constB101) <=> (v142(constB101) | v168(constB101)))) | v167(constB101) | (~(v142(constB101) | v168(constB101)))),
% 9.14/7.05 inference(tautology,[status(thm)],[])).
% 9.14/7.05 tff(36296,plain,
% 9.14/7.05 ((~(v167(constB101) <=> (v142(constB101) | v168(constB101)))) | v167(constB101)),
% 9.14/7.05 inference(unit_resolution,[status(thm)],[36295, 36294])).
% 9.14/7.05 tff(36297,plain,
% 9.14/7.05 (v167(constB101)),
% 9.14/7.05 inference(unit_resolution,[status(thm)],[36296, 36261])).
% 9.14/7.05 tff(36298,plain,
% 9.14/7.05 ((v145(constB101) | v167(constB101)) | (~v167(constB101))),
% 9.14/7.05 inference(tautology,[status(thm)],[])).
% 9.14/7.05 tff(36299,plain,
% 9.14/7.05 (v145(constB101) | v167(constB101)),
% 9.14/7.05 inference(unit_resolution,[status(thm)],[36298, 36297])).
% 9.14/7.05 tff(36300,plain,
% 9.14/7.05 ((~(v166(constB101) <=> (v145(constB101) | v167(constB101)))) | v166(constB101) | (~(v145(constB101) | v167(constB101)))),
% 9.14/7.05 inference(tautology,[status(thm)],[])).
% 9.14/7.05 tff(36301,plain,
% 9.14/7.05 (v166(constB101)),
% 9.14/7.05 inference(unit_resolution,[status(thm)],[36300, 36299, 36259])).
% 9.14/7.05 tff(36302,plain,
% 9.14/7.05 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB101)) | (v163(constB101) <=> v170(constB101)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB101)) | (v163(constB101) <=> v170(constB101)))),
% 9.14/7.05 inference(rewrite,[status(thm)],[])).
% 9.14/7.05 tff(36303,plain,
% 9.14/7.05 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB101)) | (v163(constB101) <=> v170(constB101)))),
% 9.14/7.05 inference(quant_inst,[status(thm)],[])).
% 9.14/7.05 tff(36304,plain,
% 9.14/7.05 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB101)) | (v163(constB101) <=> v170(constB101))),
% 9.14/7.05 inference(modus_ponens,[status(thm)],[36303, 36302])).
% 9.14/7.05 tff(36305,plain,
% 9.14/7.05 ((~v166(constB101)) | (v163(constB101) <=> v170(constB101))),
% 9.14/7.05 inference(unit_resolution,[status(thm)],[36304, 9851])).
% 9.14/7.05 tff(36306,plain,
% 9.14/7.05 (v163(constB101) <=> v170(constB101)),
% 9.14/7.05 inference(unit_resolution,[status(thm)],[36305, 36301])).
% 9.14/7.05 tff(36307,plain,
% 9.14/7.05 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB101) <=> (v142(constB101) | v150(constB101)))),
% 9.14/7.05 inference(quant_inst,[status(thm)],[])).
% 9.14/7.05 tff(36308,plain,
% 9.14/7.05 (v171(constB101) <=> (v142(constB101) | v150(constB101))),
% 9.14/7.05 inference(unit_resolution,[status(thm)],[36307, 9866])).
% 9.14/7.05 tff(36309,plain,
% 9.14/7.05 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v141(VarCurr) | v151(VarCurr)))) | (v150(constB101) <=> (v141(constB101) | v151(constB101)))),
% 9.14/7.05 inference(quant_inst,[status(thm)],[])).
% 9.14/7.05 tff(36310,plain,
% 9.14/7.05 (v150(constB101) <=> (v141(constB101) | v151(constB101))),
% 9.14/7.05 inference(unit_resolution,[status(thm)],[36309, 9878])).
% 9.14/7.06 tff(36311,plain,
% 9.14/7.06 ((v141(constB101) | v151(constB101)) | (~v141(constB101))),
% 9.14/7.06 inference(tautology,[status(thm)],[])).
% 9.14/7.06 tff(36312,plain,
% 9.14/7.06 (v141(constB101) | v151(constB101)),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36311, 36288])).
% 9.14/7.06 tff(36313,plain,
% 9.14/7.06 ((~(v150(constB101) <=> (v141(constB101) | v151(constB101)))) | v150(constB101) | (~(v141(constB101) | v151(constB101)))),
% 9.14/7.06 inference(tautology,[status(thm)],[])).
% 9.14/7.06 tff(36314,plain,
% 9.14/7.06 (v150(constB101)),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36313, 36312, 36310])).
% 9.14/7.06 tff(36315,plain,
% 9.14/7.06 ((v142(constB101) | v150(constB101)) | (~v150(constB101))),
% 9.14/7.06 inference(tautology,[status(thm)],[])).
% 9.14/7.06 tff(36316,plain,
% 9.14/7.06 (v142(constB101) | v150(constB101)),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36315, 36314])).
% 9.14/7.06 tff(36317,plain,
% 9.14/7.06 ((~(v171(constB101) <=> (v142(constB101) | v150(constB101)))) | v171(constB101) | (~(v142(constB101) | v150(constB101)))),
% 9.14/7.06 inference(tautology,[status(thm)],[])).
% 9.14/7.06 tff(36318,plain,
% 9.14/7.06 ((~(v171(constB101) <=> (v142(constB101) | v150(constB101)))) | v171(constB101)),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36317, 36316])).
% 9.14/7.06 tff(36319,plain,
% 9.14/7.06 (v171(constB101)),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36318, 36308])).
% 9.14/7.06 tff(36320,plain,
% 9.14/7.06 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB101)) | (~v171(constB101)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB101)) | (~v171(constB101)))),
% 9.14/7.06 inference(rewrite,[status(thm)],[])).
% 9.14/7.06 tff(36321,plain,
% 9.14/7.06 (((~v171(constB101)) | (~v170(constB101))) <=> ((~v170(constB101)) | (~v171(constB101)))),
% 9.14/7.06 inference(rewrite,[status(thm)],[])).
% 9.14/7.06 tff(36322,plain,
% 9.14/7.06 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB101)) | (~v170(constB101)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB101)) | (~v171(constB101))))),
% 9.14/7.06 inference(monotonicity,[status(thm)],[36321])).
% 9.14/7.06 tff(36323,plain,
% 9.14/7.06 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB101)) | (~v170(constB101)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB101)) | (~v171(constB101)))),
% 9.14/7.06 inference(transitivity,[status(thm)],[36322, 36320])).
% 9.14/7.06 tff(36324,plain,
% 9.14/7.06 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB101)) | (~v170(constB101)))),
% 9.14/7.06 inference(quant_inst,[status(thm)],[])).
% 9.14/7.06 tff(36325,plain,
% 9.14/7.06 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB101)) | (~v171(constB101))),
% 9.14/7.06 inference(modus_ponens,[status(thm)],[36324, 36323])).
% 9.14/7.06 tff(36326,plain,
% 9.14/7.06 (~v170(constB101)),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36325, 9899, 36319])).
% 9.14/7.06 tff(36327,plain,
% 9.14/7.06 ((~(v163(constB101) <=> v170(constB101))) | (~v163(constB101)) | v170(constB101)),
% 9.14/7.06 inference(tautology,[status(thm)],[])).
% 9.14/7.06 tff(36328,plain,
% 9.14/7.06 (~v163(constB101)),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36327, 36326, 36306])).
% 9.14/7.06 tff(36329,plain,
% 9.14/7.06 ((~(v161(constB101) <=> v163(constB101))) | (~v161(constB101)) | v163(constB101)),
% 9.14/7.06 inference(tautology,[status(thm)],[])).
% 9.14/7.06 tff(36330,plain,
% 9.14/7.06 (~v161(constB101)),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36329, 36328, 36257])).
% 9.14/7.06 tff(36331,plain,
% 9.14/7.06 (((~v159(constB101)) | (~v161(constB101))) | v161(constB101)),
% 9.14/7.06 inference(tautology,[status(thm)],[])).
% 9.14/7.06 tff(36332,plain,
% 9.14/7.06 ((~v159(constB101)) | (~v161(constB101))),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36331, 36330])).
% 9.14/7.06 tff(36333,plain,
% 9.14/7.06 ((~(v201(constB101) <=> (~((~v159(constB101)) | (~v161(constB101)))))) | (~v201(constB101)) | (~((~v159(constB101)) | (~v161(constB101))))),
% 9.14/7.06 inference(tautology,[status(thm)],[])).
% 9.14/7.06 tff(36334,plain,
% 9.14/7.06 (~v201(constB101)),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36333, 36332, 36255])).
% 9.14/7.06 tff(36335,plain,
% 9.14/7.06 (((~v197(constB101)) | (~v201(constB101))) | v201(constB101)),
% 9.14/7.06 inference(tautology,[status(thm)],[])).
% 9.14/7.06 tff(36336,plain,
% 9.14/7.06 ((~v197(constB101)) | (~v201(constB101))),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36335, 36334])).
% 9.14/7.06 tff(36337,plain,
% 9.14/7.06 ((~(v200(constB101) <=> (~((~v197(constB101)) | (~v201(constB101)))))) | (~v200(constB101)) | (~((~v197(constB101)) | (~v201(constB101))))),
% 9.14/7.06 inference(tautology,[status(thm)],[])).
% 9.14/7.06 tff(36338,plain,
% 9.14/7.06 (~v200(constB101)),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36337, 36336, 36253])).
% 9.14/7.06 tff(36339,plain,
% 9.14/7.06 (((~v199(constB101)) | (~v200(constB101))) | v200(constB101)),
% 9.14/7.06 inference(tautology,[status(thm)],[])).
% 9.14/7.06 tff(36340,plain,
% 9.14/7.06 ((~v199(constB101)) | (~v200(constB101))),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36339, 36338])).
% 9.14/7.06 tff(36341,plain,
% 9.14/7.06 ((~(v198(constB101) <=> (~((~v199(constB101)) | (~v200(constB101)))))) | (~v198(constB101)) | (~((~v199(constB101)) | (~v200(constB101))))),
% 9.14/7.06 inference(tautology,[status(thm)],[])).
% 9.14/7.06 tff(36342,plain,
% 9.14/7.06 (~v198(constB101)),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36341, 36340, 36251])).
% 9.14/7.06 tff(36343,plain,
% 9.14/7.06 ((~(v194(constB101) | v198(constB101))) | v194(constB101) | v198(constB101)),
% 9.14/7.06 inference(tautology,[status(thm)],[])).
% 9.14/7.06 tff(36344,plain,
% 9.14/7.06 (~(v194(constB101) | v198(constB101))),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36343, 36342, 36249])).
% 9.14/7.06 tff(36345,plain,
% 9.14/7.06 ((~(v191(constB101) <=> (v194(constB101) | v198(constB101)))) | (~v191(constB101)) | (v194(constB101) | v198(constB101))),
% 9.14/7.06 inference(tautology,[status(thm)],[])).
% 9.14/7.06 tff(36346,plain,
% 9.14/7.06 (~v191(constB101)),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36345, 36344, 36176])).
% 9.14/7.06 tff(36347,plain,
% 9.14/7.06 ((~(v193(constB102) <=> v191(constB101))) | (~v193(constB102)) | v191(constB101)),
% 9.14/7.06 inference(tautology,[status(thm)],[])).
% 9.14/7.06 tff(36348,plain,
% 9.14/7.06 (~v193(constB102)),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36347, 36346, 36174])).
% 9.14/7.06 tff(36349,plain,
% 9.14/7.06 ((~(v157(constB102) <=> v193(constB102))) | (~v157(constB102)) | v193(constB102)),
% 9.14/7.06 inference(tautology,[status(thm)],[])).
% 9.14/7.06 tff(36350,plain,
% 9.14/7.06 (~v157(constB102)),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36349, 36348, 36170])).
% 9.14/7.06 tff(36351,plain,
% 9.14/7.06 (((~v157(constB102)) | (~v195(constB102))) | v157(constB102)),
% 9.14/7.06 inference(tautology,[status(thm)],[])).
% 9.14/7.06 tff(36352,plain,
% 9.14/7.06 ((~v157(constB102)) | (~v195(constB102))),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36351, 36350])).
% 9.14/7.06 tff(36353,plain,
% 9.14/7.06 ((~(v194(constB102) <=> (~((~v157(constB102)) | (~v195(constB102)))))) | (~v194(constB102)) | (~((~v157(constB102)) | (~v195(constB102))))),
% 9.14/7.06 inference(tautology,[status(thm)],[])).
% 9.14/7.06 tff(36354,plain,
% 9.14/7.06 (~v194(constB102)),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36353, 36352, 36168])).
% 9.14/7.06 tff(36355,plain,
% 9.14/7.06 ((~(v194(constB102) | v198(constB102))) | v194(constB102) | v198(constB102)),
% 9.14/7.06 inference(tautology,[status(thm)],[])).
% 9.14/7.06 tff(36356,plain,
% 9.14/7.06 (~(v194(constB102) | v198(constB102))),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36355, 36354, 36161])).
% 9.14/7.06 tff(36357,plain,
% 9.14/7.06 ((~(v191(constB102) <=> (v194(constB102) | v198(constB102)))) | (~v191(constB102)) | (v194(constB102) | v198(constB102))),
% 9.14/7.06 inference(tautology,[status(thm)],[])).
% 9.14/7.06 tff(36358,plain,
% 9.14/7.06 (~v191(constB102)),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36357, 36356, 36136])).
% 9.14/7.06 tff(36359,plain,
% 9.14/7.06 ((~(v193(constB103) <=> v191(constB102))) | (~v193(constB103)) | v191(constB102)),
% 9.14/7.06 inference(tautology,[status(thm)],[])).
% 9.14/7.06 tff(36360,plain,
% 9.14/7.06 (~v193(constB103)),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36359, 36358, 36134])).
% 9.14/7.06 tff(36361,plain,
% 9.14/7.06 ($false),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36360, 36130])).
% 9.14/7.06 tff(36362,plain,(~(constB103 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.14/7.06 tff(36363,assumption,(constB23 = VarCurr!0), introduced(assumption)).
% 9.14/7.06 tff(36364,plain,
% 9.14/7.06 (v193(constB23) <=> v193(VarCurr!0)),
% 9.14/7.06 inference(monotonicity,[status(thm)],[36363])).
% 9.14/7.06 tff(36365,plain,
% 9.14/7.06 (v193(VarCurr!0) <=> v193(constB23)),
% 9.14/7.06 inference(symmetry,[status(thm)],[36364])).
% 9.14/7.06 tff(36366,plain,
% 9.14/7.06 (v193(constB23)),
% 9.14/7.06 inference(modus_ponens,[status(thm)],[59, 36365])).
% 9.14/7.06 tff(36367,plain,
% 9.14/7.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB22, constB23)) | (v193(constB23) <=> v191(constB22)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB22, constB23)) | (v193(constB23) <=> v191(constB22)))),
% 9.14/7.06 inference(rewrite,[status(thm)],[])).
% 9.14/7.06 tff(36368,plain,
% 9.14/7.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB22, constB23)) | (v193(constB23) <=> v191(constB22)))),
% 9.14/7.06 inference(quant_inst,[status(thm)],[])).
% 9.14/7.06 tff(36369,plain,
% 9.14/7.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB22, constB23)) | (v193(constB23) <=> v191(constB22))),
% 9.14/7.06 inference(modus_ponens,[status(thm)],[36368, 36367])).
% 9.14/7.06 tff(36370,plain,
% 9.14/7.06 (v193(constB23) <=> v191(constB22)),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36369, 2436, 70])).
% 9.14/7.06 tff(36371,plain,
% 9.14/7.06 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB22) <=> (v194(constB22) | v198(constB22)))),
% 9.14/7.06 inference(quant_inst,[status(thm)],[])).
% 9.14/7.06 tff(36372,plain,
% 9.14/7.06 (v191(constB22) <=> (v194(constB22) | v198(constB22))),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36371, 84])).
% 9.14/7.06 tff(36373,plain,
% 9.14/7.06 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB22) <=> (~((~v199(constB22)) | (~v200(constB22)))))),
% 9.14/7.06 inference(quant_inst,[status(thm)],[])).
% 9.14/7.06 tff(36374,plain,
% 9.14/7.06 (v198(constB22) <=> (~((~v199(constB22)) | (~v200(constB22))))),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36373, 96])).
% 9.14/7.06 tff(36375,plain,
% 9.14/7.06 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB22) <=> (~((~v197(constB22)) | (~v201(constB22)))))),
% 9.14/7.06 inference(quant_inst,[status(thm)],[])).
% 9.14/7.06 tff(36376,plain,
% 9.14/7.06 (v200(constB22) <=> (~((~v197(constB22)) | (~v201(constB22))))),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36375, 108])).
% 9.14/7.06 tff(36377,plain,
% 9.14/7.06 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB22) <=> (~((~v39(constB22)) | (~v9(constB22)))))),
% 9.14/7.06 inference(quant_inst,[status(thm)],[])).
% 9.14/7.06 tff(36378,plain,
% 9.14/7.06 (v197(constB22) <=> (~((~v39(constB22)) | (~v9(constB22))))),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36377, 120])).
% 9.14/7.06 tff(36379,plain,
% 9.14/7.06 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB22)) <=> v1(constB22))),
% 9.14/7.06 inference(quant_inst,[status(thm)],[])).
% 9.14/7.06 tff(36380,plain,
% 9.14/7.06 ((~v39(constB22)) <=> v1(constB22)),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36379, 129])).
% 9.14/7.06 tff(36381,plain,
% 9.14/7.06 ((~((~v39(constB22)) <=> v1(constB22))) | (~v39(constB22)) | (~v1(constB22))),
% 9.14/7.06 inference(tautology,[status(thm)],[])).
% 9.14/7.06 tff(36382,plain,
% 9.14/7.06 ((~((~v39(constB22)) <=> v1(constB22))) | (~v39(constB22))),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36381, 5062])).
% 9.14/7.06 tff(36383,plain,
% 9.14/7.06 (~v39(constB22)),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36382, 36380])).
% 9.14/7.06 tff(36384,plain,
% 9.14/7.06 (((~v39(constB22)) | (~v9(constB22))) | v39(constB22)),
% 9.14/7.06 inference(tautology,[status(thm)],[])).
% 9.14/7.06 tff(36385,plain,
% 9.14/7.06 ((~v39(constB22)) | (~v9(constB22))),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36384, 36383])).
% 9.14/7.06 tff(36386,plain,
% 9.14/7.06 ((~(v197(constB22) <=> (~((~v39(constB22)) | (~v9(constB22)))))) | (~v197(constB22)) | (~((~v39(constB22)) | (~v9(constB22))))),
% 9.14/7.06 inference(tautology,[status(thm)],[])).
% 9.14/7.06 tff(36387,plain,
% 9.14/7.06 ((~(v197(constB22) <=> (~((~v39(constB22)) | (~v9(constB22)))))) | (~v197(constB22))),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36386, 36385])).
% 9.14/7.06 tff(36388,plain,
% 9.14/7.06 (~v197(constB22)),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36387, 36378])).
% 9.14/7.06 tff(36389,plain,
% 9.14/7.06 (((~v197(constB22)) | (~v201(constB22))) | v197(constB22)),
% 9.14/7.06 inference(tautology,[status(thm)],[])).
% 9.14/7.06 tff(36390,plain,
% 9.14/7.06 ((~v197(constB22)) | (~v201(constB22))),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36389, 36388])).
% 9.14/7.06 tff(36391,plain,
% 9.14/7.06 ((~(v200(constB22) <=> (~((~v197(constB22)) | (~v201(constB22)))))) | (~v200(constB22)) | (~((~v197(constB22)) | (~v201(constB22))))),
% 9.14/7.06 inference(tautology,[status(thm)],[])).
% 9.14/7.06 tff(36392,plain,
% 9.14/7.06 ((~(v200(constB22) <=> (~((~v197(constB22)) | (~v201(constB22)))))) | (~v200(constB22))),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36391, 36390])).
% 9.14/7.06 tff(36393,plain,
% 9.14/7.06 (~v200(constB22)),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36392, 36376])).
% 9.14/7.06 tff(36394,plain,
% 9.14/7.06 (((~v199(constB22)) | (~v200(constB22))) | v200(constB22)),
% 9.14/7.06 inference(tautology,[status(thm)],[])).
% 9.14/7.06 tff(36395,plain,
% 9.14/7.06 ((~v199(constB22)) | (~v200(constB22))),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36394, 36393])).
% 9.14/7.06 tff(36396,plain,
% 9.14/7.06 ((~(v198(constB22) <=> (~((~v199(constB22)) | (~v200(constB22)))))) | (~v198(constB22)) | (~((~v199(constB22)) | (~v200(constB22))))),
% 9.14/7.06 inference(tautology,[status(thm)],[])).
% 9.14/7.06 tff(36397,plain,
% 9.14/7.06 (~v198(constB22)),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36396, 36395, 36374])).
% 9.14/7.06 tff(36398,plain,
% 9.14/7.06 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB22) <=> (~((~v157(constB22)) | (~v195(constB22)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB22) <=> (~((~v157(constB22)) | (~v195(constB22))))))),
% 9.14/7.06 inference(rewrite,[status(thm)],[])).
% 9.14/7.06 tff(36399,plain,
% 9.14/7.06 ((v194(constB22) <=> (~((~v195(constB22)) | (~v157(constB22))))) <=> (v194(constB22) <=> (~((~v157(constB22)) | (~v195(constB22)))))),
% 9.14/7.06 inference(rewrite,[status(thm)],[])).
% 9.14/7.06 tff(36400,plain,
% 9.14/7.06 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB22) <=> (~((~v195(constB22)) | (~v157(constB22)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB22) <=> (~((~v157(constB22)) | (~v195(constB22))))))),
% 9.14/7.06 inference(monotonicity,[status(thm)],[36399])).
% 9.14/7.06 tff(36401,plain,
% 9.14/7.06 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB22) <=> (~((~v195(constB22)) | (~v157(constB22)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB22) <=> (~((~v157(constB22)) | (~v195(constB22))))))),
% 9.14/7.06 inference(transitivity,[status(thm)],[36400, 36398])).
% 9.14/7.06 tff(36402,plain,
% 9.14/7.06 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB22) <=> (~((~v195(constB22)) | (~v157(constB22)))))),
% 9.14/7.06 inference(quant_inst,[status(thm)],[])).
% 9.14/7.06 tff(36403,plain,
% 9.14/7.06 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB22) <=> (~((~v157(constB22)) | (~v195(constB22)))))),
% 9.14/7.06 inference(modus_ponens,[status(thm)],[36402, 36401])).
% 9.14/7.06 tff(36404,plain,
% 9.14/7.06 (v194(constB22) <=> (~((~v157(constB22)) | (~v195(constB22))))),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36403, 161])).
% 9.14/7.06 tff(36405,plain,
% 9.14/7.06 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB22) <=> v193(constB22))),
% 9.14/7.06 inference(quant_inst,[status(thm)],[])).
% 9.14/7.06 tff(36406,plain,
% 9.14/7.06 (v157(constB22) <=> v193(constB22)),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36405, 13])).
% 9.14/7.06 tff(36407,plain,
% 9.14/7.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB21, constB22)) | (v193(constB22) <=> v191(constB21)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB21, constB22)) | (v193(constB22) <=> v191(constB21)))),
% 9.14/7.06 inference(rewrite,[status(thm)],[])).
% 9.14/7.06 tff(36408,plain,
% 9.14/7.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB21, constB22)) | (v193(constB22) <=> v191(constB21)))),
% 9.14/7.06 inference(quant_inst,[status(thm)],[])).
% 9.14/7.06 tff(36409,plain,
% 9.14/7.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB21, constB22)) | (v193(constB22) <=> v191(constB21))),
% 9.14/7.06 inference(modus_ponens,[status(thm)],[36408, 36407])).
% 9.14/7.06 tff(36410,plain,
% 9.14/7.06 (v193(constB22) <=> v191(constB21)),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36409, 2472, 70])).
% 9.14/7.06 tff(36411,plain,
% 9.14/7.06 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB21) <=> (v194(constB21) | v198(constB21)))),
% 9.14/7.06 inference(quant_inst,[status(thm)],[])).
% 9.14/7.06 tff(36412,plain,
% 9.14/7.06 (v191(constB21) <=> (v194(constB21) | v198(constB21))),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36411, 84])).
% 9.14/7.06 tff(36413,plain,
% 9.14/7.06 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB21) <=> (~((~v157(constB21)) | (~v195(constB21)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB21) <=> (~((~v157(constB21)) | (~v195(constB21))))))),
% 9.14/7.06 inference(rewrite,[status(thm)],[])).
% 9.14/7.06 tff(36414,plain,
% 9.14/7.06 ((v194(constB21) <=> (~((~v195(constB21)) | (~v157(constB21))))) <=> (v194(constB21) <=> (~((~v157(constB21)) | (~v195(constB21)))))),
% 9.14/7.06 inference(rewrite,[status(thm)],[])).
% 9.14/7.06 tff(36415,plain,
% 9.14/7.06 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB21) <=> (~((~v195(constB21)) | (~v157(constB21)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB21) <=> (~((~v157(constB21)) | (~v195(constB21))))))),
% 9.14/7.06 inference(monotonicity,[status(thm)],[36414])).
% 9.14/7.06 tff(36416,plain,
% 9.14/7.06 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB21) <=> (~((~v195(constB21)) | (~v157(constB21)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB21) <=> (~((~v157(constB21)) | (~v195(constB21))))))),
% 9.14/7.06 inference(transitivity,[status(thm)],[36415, 36413])).
% 9.14/7.06 tff(36417,plain,
% 9.14/7.06 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB21) <=> (~((~v195(constB21)) | (~v157(constB21)))))),
% 9.14/7.06 inference(quant_inst,[status(thm)],[])).
% 9.14/7.06 tff(36418,plain,
% 9.14/7.06 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB21) <=> (~((~v157(constB21)) | (~v195(constB21)))))),
% 9.14/7.06 inference(modus_ponens,[status(thm)],[36417, 36416])).
% 9.14/7.06 tff(36419,plain,
% 9.14/7.06 (v194(constB21) <=> (~((~v157(constB21)) | (~v195(constB21))))),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36418, 161])).
% 9.14/7.06 tff(36420,plain,
% 9.14/7.06 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB21)) <=> v196(constB21))),
% 9.14/7.06 inference(quant_inst,[status(thm)],[])).
% 9.14/7.06 tff(36421,plain,
% 9.14/7.06 ((~v195(constB21)) <=> v196(constB21)),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36420, 193])).
% 9.14/7.06 tff(36422,plain,
% 9.14/7.06 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB21) <=> (v197(constB21) | v26(constB21)))),
% 9.14/7.06 inference(quant_inst,[status(thm)],[])).
% 9.14/7.06 tff(36423,plain,
% 9.14/7.06 (v196(constB21) <=> (v197(constB21) | v26(constB21))),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36422, 202])).
% 9.14/7.06 tff(36424,plain,
% 9.14/7.06 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB21) <=> (~((~v39(constB21)) | (~v9(constB21)))))),
% 9.14/7.06 inference(quant_inst,[status(thm)],[])).
% 9.14/7.06 tff(36425,plain,
% 9.14/7.06 (v197(constB21) <=> (~((~v39(constB21)) | (~v9(constB21))))),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36424, 120])).
% 9.14/7.06 tff(36426,plain,
% 9.14/7.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB21, constB22)) | (v13(constB22) <=> v9(constB21)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB21, constB22)) | (v13(constB22) <=> v9(constB21)))),
% 9.14/7.06 inference(rewrite,[status(thm)],[])).
% 9.14/7.06 tff(36427,plain,
% 9.14/7.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB21, constB22)) | (v13(constB22) <=> v9(constB21)))),
% 9.14/7.06 inference(quant_inst,[status(thm)],[])).
% 9.14/7.06 tff(36428,plain,
% 9.14/7.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB21, constB22)) | (v13(constB22) <=> v9(constB21))),
% 9.14/7.06 inference(modus_ponens,[status(thm)],[36427, 36426])).
% 9.14/7.06 tff(36429,plain,
% 9.14/7.06 (v13(constB22) <=> v9(constB21)),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36428, 2472, 216])).
% 9.14/7.06 tff(36430,plain,
% 9.14/7.06 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB22) <=> v13(constB22))),
% 9.14/7.06 inference(quant_inst,[status(thm)],[])).
% 9.14/7.06 tff(36431,plain,
% 9.14/7.06 (v6(constB22) <=> v13(constB22)),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36430, 230])).
% 9.14/7.06 tff(36432,plain,
% 9.14/7.06 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB22)) <=> v6(constB22))),
% 9.14/7.06 inference(quant_inst,[status(thm)],[])).
% 9.14/7.06 tff(36433,plain,
% 9.14/7.06 ((~v21(constB22)) <=> v6(constB22)),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36432, 239])).
% 9.14/7.06 tff(36434,plain,
% 9.14/7.06 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB22) <=> (v20(constB22) | v21(constB22)))),
% 9.14/7.06 inference(quant_inst,[status(thm)],[])).
% 9.14/7.06 tff(36435,plain,
% 9.14/7.06 (v19(constB22) <=> (v20(constB22) | v21(constB22))),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36434, 248])).
% 9.14/7.06 tff(36436,plain,
% 9.14/7.06 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB22) <=> (~((~v19(constB22)) | (~v22(constB22)))))),
% 9.14/7.06 inference(quant_inst,[status(thm)],[])).
% 9.14/7.06 tff(36437,plain,
% 9.14/7.06 (v18(constB22) <=> (~((~v19(constB22)) | (~v22(constB22))))),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36436, 260])).
% 9.14/7.06 tff(36438,plain,
% 9.14/7.06 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB22)) <=> v18(constB22))),
% 9.14/7.06 inference(quant_inst,[status(thm)],[])).
% 9.14/7.06 tff(36439,plain,
% 9.14/7.06 ((~v4(constB22)) <=> v18(constB22)),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36438, 269])).
% 9.14/7.06 tff(36440,plain,
% 9.14/7.06 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB22)),
% 9.14/7.06 inference(quant_inst,[status(thm)],[])).
% 9.14/7.06 tff(36441,plain,
% 9.14/7.06 (v4(constB22)),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36440, 278])).
% 9.14/7.06 tff(36442,plain,
% 9.14/7.06 ((~((~v4(constB22)) <=> v18(constB22))) | (~v4(constB22)) | (~v18(constB22))),
% 9.14/7.06 inference(tautology,[status(thm)],[])).
% 9.14/7.06 tff(36443,plain,
% 9.14/7.06 (~v18(constB22)),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36442, 36441, 36439])).
% 9.14/7.06 tff(36444,plain,
% 9.14/7.06 ((~(v18(constB22) <=> (~((~v19(constB22)) | (~v22(constB22)))))) | v18(constB22) | ((~v19(constB22)) | (~v22(constB22)))),
% 9.14/7.06 inference(tautology,[status(thm)],[])).
% 9.14/7.06 tff(36445,plain,
% 9.14/7.06 ((~v19(constB22)) | (~v22(constB22))),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36444, 36443, 36437])).
% 9.14/7.06 tff(36446,plain,
% 9.14/7.06 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB22) <=> (v1(constB22) | v6(constB22)))),
% 9.14/7.06 inference(quant_inst,[status(thm)],[])).
% 9.14/7.06 tff(36447,plain,
% 9.14/7.06 (v22(constB22) <=> (v1(constB22) | v6(constB22))),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36446, 291])).
% 9.14/7.06 tff(36448,plain,
% 9.14/7.06 ((v1(constB22) | v6(constB22)) | (~v1(constB22))),
% 9.14/7.06 inference(tautology,[status(thm)],[])).
% 9.14/7.06 tff(36449,plain,
% 9.14/7.06 (v1(constB22) | v6(constB22)),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36448, 5062])).
% 9.14/7.06 tff(36450,plain,
% 9.14/7.06 ((~(v22(constB22) <=> (v1(constB22) | v6(constB22)))) | v22(constB22) | (~(v1(constB22) | v6(constB22)))),
% 9.14/7.06 inference(tautology,[status(thm)],[])).
% 9.14/7.06 tff(36451,plain,
% 9.14/7.06 ((~(v22(constB22) <=> (v1(constB22) | v6(constB22)))) | v22(constB22)),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36450, 36449])).
% 9.14/7.06 tff(36452,plain,
% 9.14/7.06 (v22(constB22)),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36451, 36447])).
% 9.14/7.06 tff(36453,plain,
% 9.14/7.06 ((~((~v19(constB22)) | (~v22(constB22)))) | (~v19(constB22)) | (~v22(constB22))),
% 9.14/7.06 inference(tautology,[status(thm)],[])).
% 9.14/7.06 tff(36454,plain,
% 9.14/7.06 ((~((~v19(constB22)) | (~v22(constB22)))) | (~v19(constB22))),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36453, 36452])).
% 9.14/7.06 tff(36455,plain,
% 9.14/7.06 (~v19(constB22)),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36454, 36445])).
% 9.14/7.06 tff(36456,plain,
% 9.14/7.06 ((~(v19(constB22) <=> (v20(constB22) | v21(constB22)))) | v19(constB22) | (~(v20(constB22) | v21(constB22)))),
% 9.14/7.06 inference(tautology,[status(thm)],[])).
% 9.14/7.06 tff(36457,plain,
% 9.14/7.06 (~(v20(constB22) | v21(constB22))),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36456, 36455, 36435])).
% 9.14/7.06 tff(36458,plain,
% 9.14/7.06 ((v20(constB22) | v21(constB22)) | (~v21(constB22))),
% 9.14/7.06 inference(tautology,[status(thm)],[])).
% 9.14/7.06 tff(36459,plain,
% 9.14/7.06 (~v21(constB22)),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36458, 36457])).
% 9.14/7.06 tff(36460,plain,
% 9.14/7.06 ((~((~v21(constB22)) <=> v6(constB22))) | v21(constB22) | v6(constB22)),
% 9.14/7.06 inference(tautology,[status(thm)],[])).
% 9.14/7.06 tff(36461,plain,
% 9.14/7.06 (v6(constB22)),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36460, 36459, 36433])).
% 9.14/7.06 tff(36462,plain,
% 9.14/7.06 ((~(v6(constB22) <=> v13(constB22))) | (~v6(constB22)) | v13(constB22)),
% 9.14/7.06 inference(tautology,[status(thm)],[])).
% 9.14/7.06 tff(36463,plain,
% 9.14/7.06 (v13(constB22)),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36462, 36461, 36431])).
% 9.14/7.06 tff(36464,plain,
% 9.14/7.06 ((~(v13(constB22) <=> v9(constB21))) | (~v13(constB22)) | v9(constB21)),
% 9.14/7.06 inference(tautology,[status(thm)],[])).
% 9.14/7.06 tff(36465,plain,
% 9.14/7.06 (v9(constB21)),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36464, 36463, 36429])).
% 9.14/7.06 tff(36466,plain,
% 9.14/7.06 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB21)) <=> v1(constB21))),
% 9.14/7.06 inference(quant_inst,[status(thm)],[])).
% 9.14/7.06 tff(36467,plain,
% 9.14/7.06 ((~v39(constB21)) <=> v1(constB21)),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36466, 129])).
% 9.14/7.06 tff(36468,plain,
% 9.14/7.06 ((~((~v39(constB21)) <=> v1(constB21))) | v39(constB21) | v1(constB21)),
% 9.14/7.06 inference(tautology,[status(thm)],[])).
% 9.14/7.06 tff(36469,plain,
% 9.14/7.06 ((~((~v39(constB21)) <=> v1(constB21))) | v39(constB21)),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36468, 2516])).
% 9.14/7.06 tff(36470,plain,
% 9.14/7.06 (v39(constB21)),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36469, 36467])).
% 9.14/7.06 tff(36471,plain,
% 9.14/7.06 ((~((~v39(constB21)) | (~v9(constB21)))) | (~v39(constB21)) | (~v9(constB21))),
% 9.14/7.06 inference(tautology,[status(thm)],[])).
% 9.14/7.06 tff(36472,plain,
% 9.14/7.06 ((~((~v39(constB21)) | (~v9(constB21)))) | (~v9(constB21))),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36471, 36470])).
% 9.14/7.06 tff(36473,plain,
% 9.14/7.06 (~((~v39(constB21)) | (~v9(constB21)))),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36472, 36465])).
% 9.14/7.06 tff(36474,plain,
% 9.14/7.06 ((~(v197(constB21) <=> (~((~v39(constB21)) | (~v9(constB21)))))) | v197(constB21) | ((~v39(constB21)) | (~v9(constB21)))),
% 9.14/7.06 inference(tautology,[status(thm)],[])).
% 9.14/7.06 tff(36475,plain,
% 9.14/7.06 (v197(constB21)),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36474, 36473, 36425])).
% 9.14/7.06 tff(36476,plain,
% 9.14/7.06 ((v197(constB21) | v26(constB21)) | (~v197(constB21))),
% 9.14/7.06 inference(tautology,[status(thm)],[])).
% 9.14/7.06 tff(36477,plain,
% 9.14/7.06 (v197(constB21) | v26(constB21)),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36476, 36475])).
% 9.14/7.06 tff(36478,plain,
% 9.14/7.06 ((~(v196(constB21) <=> (v197(constB21) | v26(constB21)))) | v196(constB21) | (~(v197(constB21) | v26(constB21)))),
% 9.14/7.06 inference(tautology,[status(thm)],[])).
% 9.14/7.06 tff(36479,plain,
% 9.14/7.06 (v196(constB21)),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36478, 36477, 36423])).
% 9.14/7.06 tff(36480,plain,
% 9.14/7.06 ((~((~v195(constB21)) <=> v196(constB21))) | (~v195(constB21)) | (~v196(constB21))),
% 9.14/7.06 inference(tautology,[status(thm)],[])).
% 9.14/7.06 tff(36481,plain,
% 9.14/7.06 (~v195(constB21)),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36480, 36479, 36421])).
% 9.14/7.06 tff(36482,plain,
% 9.14/7.06 (((~v157(constB21)) | (~v195(constB21))) | v195(constB21)),
% 9.14/7.06 inference(tautology,[status(thm)],[])).
% 9.14/7.06 tff(36483,plain,
% 9.14/7.06 ((~v157(constB21)) | (~v195(constB21))),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36482, 36481])).
% 9.14/7.06 tff(36484,plain,
% 9.14/7.06 ((~(v194(constB21) <=> (~((~v157(constB21)) | (~v195(constB21)))))) | (~v194(constB21)) | (~((~v157(constB21)) | (~v195(constB21))))),
% 9.14/7.06 inference(tautology,[status(thm)],[])).
% 9.14/7.06 tff(36485,plain,
% 9.14/7.06 (~v194(constB21)),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36484, 36483, 36419])).
% 9.14/7.06 tff(36486,plain,
% 9.14/7.06 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB21) <=> (~((~v199(constB21)) | (~v200(constB21)))))),
% 9.14/7.06 inference(quant_inst,[status(thm)],[])).
% 9.14/7.06 tff(36487,plain,
% 9.14/7.06 (v198(constB21) <=> (~((~v199(constB21)) | (~v200(constB21))))),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36486, 96])).
% 9.14/7.06 tff(36488,plain,
% 9.14/7.06 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB21) <=> (~((~v197(constB21)) | (~v201(constB21)))))),
% 9.14/7.06 inference(quant_inst,[status(thm)],[])).
% 9.14/7.06 tff(36489,plain,
% 9.14/7.06 (v200(constB21) <=> (~((~v197(constB21)) | (~v201(constB21))))),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36488, 108])).
% 9.14/7.06 tff(36490,plain,
% 9.14/7.06 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB21) <=> (~((~v159(constB21)) | (~v161(constB21)))))),
% 9.14/7.06 inference(quant_inst,[status(thm)],[])).
% 9.14/7.06 tff(36491,plain,
% 9.14/7.06 (v201(constB21) <=> (~((~v159(constB21)) | (~v161(constB21))))),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36490, 348])).
% 9.14/7.06 tff(36492,plain,
% 9.14/7.06 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB21) <=> v163(constB21))),
% 9.14/7.06 inference(quant_inst,[status(thm)],[])).
% 9.14/7.06 tff(36493,plain,
% 9.14/7.06 (v161(constB21) <=> v163(constB21)),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36492, 357])).
% 9.14/7.06 tff(36494,plain,
% 9.14/7.06 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB21) <=> (v145(constB21) | v167(constB21)))),
% 9.14/7.06 inference(quant_inst,[status(thm)],[])).
% 9.14/7.06 tff(36495,plain,
% 9.14/7.06 (v166(constB21) <=> (v145(constB21) | v167(constB21))),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36494, 369])).
% 9.14/7.06 tff(36496,plain,
% 9.14/7.06 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB21) <=> (v142(constB21) | v168(constB21)))),
% 9.14/7.06 inference(quant_inst,[status(thm)],[])).
% 9.14/7.06 tff(36497,plain,
% 9.14/7.06 (v167(constB21) <=> (v142(constB21) | v168(constB21))),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36496, 381])).
% 9.14/7.06 tff(36498,plain,
% 9.14/7.06 ((~![VarCurr: $i] : (v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr)))) | (v168(constB21) <=> (v141(constB21) | v169(constB21)))),
% 9.14/7.06 inference(quant_inst,[status(thm)],[])).
% 9.14/7.06 tff(36499,plain,
% 9.14/7.06 (v168(constB21) <=> (v141(constB21) | v169(constB21))),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36498, 393])).
% 9.14/7.06 tff(36500,plain,
% 9.14/7.06 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB21) <=> (~((~v88(constB21, bitIndex1)) | v88(constB21, bitIndex2) | (~v88(constB21, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB21) <=> (~((~v88(constB21, bitIndex1)) | v88(constB21, bitIndex2) | (~v88(constB21, bitIndex0))))))),
% 9.14/7.06 inference(rewrite,[status(thm)],[])).
% 9.14/7.06 tff(36501,plain,
% 9.14/7.06 ((v141(constB21) <=> (~(v88(constB21, bitIndex2) | (~v88(constB21, bitIndex1)) | (~v88(constB21, bitIndex0))))) <=> (v141(constB21) <=> (~((~v88(constB21, bitIndex1)) | v88(constB21, bitIndex2) | (~v88(constB21, bitIndex0)))))),
% 9.14/7.06 inference(rewrite,[status(thm)],[])).
% 9.14/7.06 tff(36502,plain,
% 9.14/7.06 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB21) <=> (~(v88(constB21, bitIndex2) | (~v88(constB21, bitIndex1)) | (~v88(constB21, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB21) <=> (~((~v88(constB21, bitIndex1)) | v88(constB21, bitIndex2) | (~v88(constB21, bitIndex0))))))),
% 9.14/7.06 inference(monotonicity,[status(thm)],[36501])).
% 9.14/7.06 tff(36503,plain,
% 9.14/7.06 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB21) <=> (~(v88(constB21, bitIndex2) | (~v88(constB21, bitIndex1)) | (~v88(constB21, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB21) <=> (~((~v88(constB21, bitIndex1)) | v88(constB21, bitIndex2) | (~v88(constB21, bitIndex0))))))),
% 9.14/7.06 inference(transitivity,[status(thm)],[36502, 36500])).
% 9.14/7.06 tff(36504,plain,
% 9.14/7.06 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB21) <=> (~(v88(constB21, bitIndex2) | (~v88(constB21, bitIndex1)) | (~v88(constB21, bitIndex0)))))),
% 9.14/7.06 inference(quant_inst,[status(thm)],[])).
% 9.14/7.06 tff(36505,plain,
% 9.14/7.06 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB21) <=> (~((~v88(constB21, bitIndex1)) | v88(constB21, bitIndex2) | (~v88(constB21, bitIndex0)))))),
% 9.14/7.06 inference(modus_ponens,[status(thm)],[36504, 36503])).
% 9.14/7.06 tff(36506,plain,
% 9.14/7.06 (v141(constB21) <=> (~((~v88(constB21, bitIndex1)) | v88(constB21, bitIndex2) | (~v88(constB21, bitIndex0))))),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36505, 408])).
% 9.14/7.06 tff(36507,plain,
% 9.14/7.06 ((~![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))) | (~(((~v88(constB21, bitIndex1)) <=> v90(constB21, bitIndex1)) | ((~v88(constB21, bitIndex2)) <=> v90(constB21, bitIndex2)) | ((~v88(constB21, bitIndex0)) <=> v90(constB21, bitIndex0))))),
% 9.14/7.06 inference(quant_inst,[status(thm)],[])).
% 9.14/7.06 tff(36508,plain,
% 9.14/7.06 (~(((~v88(constB21, bitIndex1)) <=> v90(constB21, bitIndex1)) | ((~v88(constB21, bitIndex2)) <=> v90(constB21, bitIndex2)) | ((~v88(constB21, bitIndex0)) <=> v90(constB21, bitIndex0)))),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36507, 428])).
% 9.14/7.06 tff(36509,plain,
% 9.14/7.06 ((((~v88(constB21, bitIndex1)) <=> v90(constB21, bitIndex1)) | ((~v88(constB21, bitIndex2)) <=> v90(constB21, bitIndex2)) | ((~v88(constB21, bitIndex0)) <=> v90(constB21, bitIndex0))) | (~((~v88(constB21, bitIndex2)) <=> v90(constB21, bitIndex2)))),
% 9.14/7.06 inference(tautology,[status(thm)],[])).
% 9.14/7.06 tff(36510,plain,
% 9.14/7.06 (~((~v88(constB21, bitIndex2)) <=> v90(constB21, bitIndex2))),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36509, 36508])).
% 9.14/7.06 tff(36511,plain,
% 9.14/7.06 (((~v88(constB21, bitIndex2)) <=> v90(constB21, bitIndex2)) | (~v88(constB21, bitIndex2)) | v90(constB21, bitIndex2)),
% 9.14/7.06 inference(tautology,[status(thm)],[])).
% 9.14/7.06 tff(36512,plain,
% 9.14/7.06 (~v88(constB21, bitIndex2)),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36511, 4981, 36510])).
% 9.14/7.06 tff(36513,plain,
% 9.14/7.06 ((((~v88(constB21, bitIndex1)) <=> v90(constB21, bitIndex1)) | ((~v88(constB21, bitIndex2)) <=> v90(constB21, bitIndex2)) | ((~v88(constB21, bitIndex0)) <=> v90(constB21, bitIndex0))) | (~((~v88(constB21, bitIndex0)) <=> v90(constB21, bitIndex0)))),
% 9.14/7.06 inference(tautology,[status(thm)],[])).
% 9.14/7.06 tff(36514,plain,
% 9.14/7.06 (~((~v88(constB21, bitIndex0)) <=> v90(constB21, bitIndex0))),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36513, 36508])).
% 9.14/7.06 tff(36515,plain,
% 9.14/7.06 (((~v88(constB21, bitIndex0)) <=> v90(constB21, bitIndex0)) | v88(constB21, bitIndex0) | (~v90(constB21, bitIndex0))),
% 9.14/7.06 inference(tautology,[status(thm)],[])).
% 9.14/7.06 tff(36516,plain,
% 9.14/7.06 (v88(constB21, bitIndex0)),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36515, 4999, 36514])).
% 9.14/7.06 tff(36517,plain,
% 9.14/7.06 ((((~v88(constB21, bitIndex1)) <=> v90(constB21, bitIndex1)) | ((~v88(constB21, bitIndex2)) <=> v90(constB21, bitIndex2)) | ((~v88(constB21, bitIndex0)) <=> v90(constB21, bitIndex0))) | (~((~v88(constB21, bitIndex1)) <=> v90(constB21, bitIndex1)))),
% 9.14/7.06 inference(tautology,[status(thm)],[])).
% 9.14/7.06 tff(36518,plain,
% 9.14/7.06 (~((~v88(constB21, bitIndex1)) <=> v90(constB21, bitIndex1))),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36517, 36508])).
% 9.14/7.06 tff(36519,plain,
% 9.14/7.06 (((~v88(constB21, bitIndex1)) <=> v90(constB21, bitIndex1)) | v88(constB21, bitIndex1) | (~v90(constB21, bitIndex1))),
% 9.14/7.06 inference(tautology,[status(thm)],[])).
% 9.14/7.06 tff(36520,plain,
% 9.14/7.06 (v88(constB21, bitIndex1)),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36519, 5017, 36518])).
% 9.14/7.06 tff(36521,plain,
% 9.14/7.06 ((~((~v88(constB21, bitIndex1)) | v88(constB21, bitIndex2) | (~v88(constB21, bitIndex0)))) | (~v88(constB21, bitIndex1)) | v88(constB21, bitIndex2) | (~v88(constB21, bitIndex0))),
% 9.14/7.06 inference(tautology,[status(thm)],[])).
% 9.14/7.06 tff(36522,plain,
% 9.14/7.06 (~((~v88(constB21, bitIndex1)) | v88(constB21, bitIndex2) | (~v88(constB21, bitIndex0)))),
% 9.14/7.06 inference(unit_resolution,[status(thm)],[36521, 36520, 36516, 36512])).
% 9.14/7.07 tff(36523,plain,
% 9.14/7.07 ((~(v141(constB21) <=> (~((~v88(constB21, bitIndex1)) | v88(constB21, bitIndex2) | (~v88(constB21, bitIndex0)))))) | v141(constB21) | ((~v88(constB21, bitIndex1)) | v88(constB21, bitIndex2) | (~v88(constB21, bitIndex0)))),
% 9.14/7.07 inference(tautology,[status(thm)],[])).
% 9.14/7.07 tff(36524,plain,
% 9.14/7.07 (v141(constB21)),
% 9.14/7.07 inference(unit_resolution,[status(thm)],[36523, 36522, 36506])).
% 9.14/7.07 tff(36525,plain,
% 9.14/7.07 ((v141(constB21) | v169(constB21)) | (~v141(constB21))),
% 9.14/7.07 inference(tautology,[status(thm)],[])).
% 9.14/7.07 tff(36526,plain,
% 9.14/7.07 (v141(constB21) | v169(constB21)),
% 9.14/7.07 inference(unit_resolution,[status(thm)],[36525, 36524])).
% 9.14/7.07 tff(36527,plain,
% 9.14/7.07 ((~(v168(constB21) <=> (v141(constB21) | v169(constB21)))) | v168(constB21) | (~(v141(constB21) | v169(constB21)))),
% 9.14/7.07 inference(tautology,[status(thm)],[])).
% 9.14/7.07 tff(36528,plain,
% 9.14/7.07 (v168(constB21)),
% 9.14/7.07 inference(unit_resolution,[status(thm)],[36527, 36526, 36499])).
% 9.14/7.07 tff(36529,plain,
% 9.14/7.07 ((v142(constB21) | v168(constB21)) | (~v168(constB21))),
% 9.14/7.07 inference(tautology,[status(thm)],[])).
% 9.14/7.07 tff(36530,plain,
% 9.14/7.07 (v142(constB21) | v168(constB21)),
% 9.14/7.07 inference(unit_resolution,[status(thm)],[36529, 36528])).
% 9.14/7.07 tff(36531,plain,
% 9.14/7.07 ((~(v167(constB21) <=> (v142(constB21) | v168(constB21)))) | v167(constB21) | (~(v142(constB21) | v168(constB21)))),
% 9.14/7.07 inference(tautology,[status(thm)],[])).
% 9.14/7.07 tff(36532,plain,
% 9.14/7.07 ((~(v167(constB21) <=> (v142(constB21) | v168(constB21)))) | v167(constB21)),
% 9.14/7.07 inference(unit_resolution,[status(thm)],[36531, 36530])).
% 9.14/7.07 tff(36533,plain,
% 9.14/7.07 (v167(constB21)),
% 9.14/7.07 inference(unit_resolution,[status(thm)],[36532, 36497])).
% 9.14/7.07 tff(36534,plain,
% 9.14/7.07 ((v145(constB21) | v167(constB21)) | (~v167(constB21))),
% 9.14/7.07 inference(tautology,[status(thm)],[])).
% 9.14/7.07 tff(36535,plain,
% 9.14/7.07 (v145(constB21) | v167(constB21)),
% 9.14/7.07 inference(unit_resolution,[status(thm)],[36534, 36533])).
% 9.14/7.07 tff(36536,plain,
% 9.14/7.07 ((~(v166(constB21) <=> (v145(constB21) | v167(constB21)))) | v166(constB21) | (~(v145(constB21) | v167(constB21)))),
% 9.14/7.07 inference(tautology,[status(thm)],[])).
% 9.14/7.07 tff(36537,plain,
% 9.14/7.07 (v166(constB21)),
% 9.14/7.07 inference(unit_resolution,[status(thm)],[36536, 36535, 36495])).
% 9.14/7.07 tff(36538,plain,
% 9.14/7.07 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB21)) | (v163(constB21) <=> v170(constB21)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB21)) | (v163(constB21) <=> v170(constB21)))),
% 9.14/7.07 inference(rewrite,[status(thm)],[])).
% 9.14/7.07 tff(36539,plain,
% 9.14/7.07 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB21)) | (v163(constB21) <=> v170(constB21)))),
% 9.14/7.07 inference(quant_inst,[status(thm)],[])).
% 9.14/7.07 tff(36540,plain,
% 9.14/7.07 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB21)) | (v163(constB21) <=> v170(constB21))),
% 9.14/7.07 inference(modus_ponens,[status(thm)],[36539, 36538])).
% 9.14/7.07 tff(36541,plain,
% 9.14/7.07 ((~v166(constB21)) | (v163(constB21) <=> v170(constB21))),
% 9.14/7.07 inference(unit_resolution,[status(thm)],[36540, 9851])).
% 9.14/7.07 tff(36542,plain,
% 9.14/7.07 (v163(constB21) <=> v170(constB21)),
% 9.14/7.07 inference(unit_resolution,[status(thm)],[36541, 36537])).
% 9.14/7.07 tff(36543,plain,
% 9.14/7.07 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB21) <=> (v142(constB21) | v150(constB21)))),
% 9.14/7.07 inference(quant_inst,[status(thm)],[])).
% 9.14/7.07 tff(36544,plain,
% 9.14/7.07 (v171(constB21) <=> (v142(constB21) | v150(constB21))),
% 9.14/7.07 inference(unit_resolution,[status(thm)],[36543, 9866])).
% 9.14/7.07 tff(36545,plain,
% 9.14/7.07 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v141(VarCurr) | v151(VarCurr)))) | (v150(constB21) <=> (v141(constB21) | v151(constB21)))),
% 9.14/7.07 inference(quant_inst,[status(thm)],[])).
% 9.14/7.07 tff(36546,plain,
% 9.14/7.07 (v150(constB21) <=> (v141(constB21) | v151(constB21))),
% 9.14/7.07 inference(unit_resolution,[status(thm)],[36545, 9878])).
% 9.14/7.07 tff(36547,plain,
% 9.14/7.07 ((v141(constB21) | v151(constB21)) | (~v141(constB21))),
% 9.14/7.07 inference(tautology,[status(thm)],[])).
% 9.14/7.07 tff(36548,plain,
% 9.14/7.07 (v141(constB21) | v151(constB21)),
% 9.14/7.07 inference(unit_resolution,[status(thm)],[36547, 36524])).
% 9.14/7.07 tff(36549,plain,
% 9.14/7.07 ((~(v150(constB21) <=> (v141(constB21) | v151(constB21)))) | v150(constB21) | (~(v141(constB21) | v151(constB21)))),
% 9.14/7.07 inference(tautology,[status(thm)],[])).
% 9.14/7.07 tff(36550,plain,
% 9.14/7.07 (v150(constB21)),
% 9.14/7.07 inference(unit_resolution,[status(thm)],[36549, 36548, 36546])).
% 9.14/7.07 tff(36551,plain,
% 9.14/7.07 ((v142(constB21) | v150(constB21)) | (~v150(constB21))),
% 9.14/7.07 inference(tautology,[status(thm)],[])).
% 9.14/7.07 tff(36552,plain,
% 9.14/7.07 (v142(constB21) | v150(constB21)),
% 9.14/7.07 inference(unit_resolution,[status(thm)],[36551, 36550])).
% 9.14/7.07 tff(36553,plain,
% 9.14/7.07 ((~(v171(constB21) <=> (v142(constB21) | v150(constB21)))) | v171(constB21) | (~(v142(constB21) | v150(constB21)))),
% 9.14/7.07 inference(tautology,[status(thm)],[])).
% 9.14/7.07 tff(36554,plain,
% 9.14/7.07 ((~(v171(constB21) <=> (v142(constB21) | v150(constB21)))) | v171(constB21)),
% 9.14/7.07 inference(unit_resolution,[status(thm)],[36553, 36552])).
% 9.14/7.07 tff(36555,plain,
% 9.14/7.07 (v171(constB21)),
% 9.14/7.07 inference(unit_resolution,[status(thm)],[36554, 36544])).
% 9.14/7.07 tff(36556,plain,
% 9.14/7.07 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB21)) | (~v171(constB21)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB21)) | (~v171(constB21)))),
% 9.14/7.07 inference(rewrite,[status(thm)],[])).
% 9.14/7.07 tff(36557,plain,
% 9.14/7.07 (((~v171(constB21)) | (~v170(constB21))) <=> ((~v170(constB21)) | (~v171(constB21)))),
% 9.14/7.07 inference(rewrite,[status(thm)],[])).
% 9.14/7.07 tff(36558,plain,
% 9.14/7.07 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB21)) | (~v170(constB21)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB21)) | (~v171(constB21))))),
% 9.14/7.07 inference(monotonicity,[status(thm)],[36557])).
% 9.14/7.07 tff(36559,plain,
% 9.14/7.07 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB21)) | (~v170(constB21)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB21)) | (~v171(constB21)))),
% 9.14/7.07 inference(transitivity,[status(thm)],[36558, 36556])).
% 9.14/7.07 tff(36560,plain,
% 9.14/7.07 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB21)) | (~v170(constB21)))),
% 9.14/7.07 inference(quant_inst,[status(thm)],[])).
% 9.14/7.07 tff(36561,plain,
% 9.14/7.07 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB21)) | (~v171(constB21))),
% 9.14/7.07 inference(modus_ponens,[status(thm)],[36560, 36559])).
% 9.14/7.07 tff(36562,plain,
% 9.14/7.07 (~v170(constB21)),
% 9.14/7.07 inference(unit_resolution,[status(thm)],[36561, 9899, 36555])).
% 9.14/7.07 tff(36563,plain,
% 9.14/7.07 ((~(v163(constB21) <=> v170(constB21))) | (~v163(constB21)) | v170(constB21)),
% 9.14/7.07 inference(tautology,[status(thm)],[])).
% 9.14/7.07 tff(36564,plain,
% 9.14/7.07 (~v163(constB21)),
% 9.14/7.07 inference(unit_resolution,[status(thm)],[36563, 36562, 36542])).
% 9.14/7.07 tff(36565,plain,
% 9.14/7.07 ((~(v161(constB21) <=> v163(constB21))) | (~v161(constB21)) | v163(constB21)),
% 9.14/7.07 inference(tautology,[status(thm)],[])).
% 9.14/7.07 tff(36566,plain,
% 9.14/7.07 (~v161(constB21)),
% 9.14/7.07 inference(unit_resolution,[status(thm)],[36565, 36564, 36493])).
% 9.14/7.07 tff(36567,plain,
% 9.14/7.07 (((~v159(constB21)) | (~v161(constB21))) | v161(constB21)),
% 9.14/7.07 inference(tautology,[status(thm)],[])).
% 9.14/7.07 tff(36568,plain,
% 9.14/7.07 ((~v159(constB21)) | (~v161(constB21))),
% 9.14/7.07 inference(unit_resolution,[status(thm)],[36567, 36566])).
% 9.14/7.07 tff(36569,plain,
% 9.14/7.07 ((~(v201(constB21) <=> (~((~v159(constB21)) | (~v161(constB21)))))) | (~v201(constB21)) | (~((~v159(constB21)) | (~v161(constB21))))),
% 9.14/7.07 inference(tautology,[status(thm)],[])).
% 9.14/7.07 tff(36570,plain,
% 9.14/7.07 (~v201(constB21)),
% 9.14/7.07 inference(unit_resolution,[status(thm)],[36569, 36568, 36491])).
% 9.14/7.07 tff(36571,plain,
% 9.14/7.07 (((~v197(constB21)) | (~v201(constB21))) | v201(constB21)),
% 9.14/7.07 inference(tautology,[status(thm)],[])).
% 9.14/7.07 tff(36572,plain,
% 9.14/7.07 ((~v197(constB21)) | (~v201(constB21))),
% 9.14/7.07 inference(unit_resolution,[status(thm)],[36571, 36570])).
% 9.14/7.07 tff(36573,plain,
% 9.14/7.07 ((~(v200(constB21) <=> (~((~v197(constB21)) | (~v201(constB21)))))) | (~v200(constB21)) | (~((~v197(constB21)) | (~v201(constB21))))),
% 9.14/7.07 inference(tautology,[status(thm)],[])).
% 9.14/7.07 tff(36574,plain,
% 9.14/7.07 (~v200(constB21)),
% 9.14/7.07 inference(unit_resolution,[status(thm)],[36573, 36572, 36489])).
% 9.14/7.07 tff(36575,plain,
% 9.14/7.07 (((~v199(constB21)) | (~v200(constB21))) | v200(constB21)),
% 9.14/7.07 inference(tautology,[status(thm)],[])).
% 9.14/7.07 tff(36576,plain,
% 9.14/7.07 ((~v199(constB21)) | (~v200(constB21))),
% 9.14/7.07 inference(unit_resolution,[status(thm)],[36575, 36574])).
% 9.14/7.07 tff(36577,plain,
% 9.14/7.07 ((~(v198(constB21) <=> (~((~v199(constB21)) | (~v200(constB21)))))) | (~v198(constB21)) | (~((~v199(constB21)) | (~v200(constB21))))),
% 9.14/7.07 inference(tautology,[status(thm)],[])).
% 9.14/7.07 tff(36578,plain,
% 9.14/7.07 (~v198(constB21)),
% 9.14/7.07 inference(unit_resolution,[status(thm)],[36577, 36576, 36487])).
% 9.14/7.07 tff(36579,plain,
% 9.14/7.07 ((~(v194(constB21) | v198(constB21))) | v194(constB21) | v198(constB21)),
% 9.14/7.07 inference(tautology,[status(thm)],[])).
% 9.14/7.07 tff(36580,plain,
% 9.14/7.07 (~(v194(constB21) | v198(constB21))),
% 9.14/7.07 inference(unit_resolution,[status(thm)],[36579, 36578, 36485])).
% 9.14/7.07 tff(36581,plain,
% 9.14/7.07 ((~(v191(constB21) <=> (v194(constB21) | v198(constB21)))) | (~v191(constB21)) | (v194(constB21) | v198(constB21))),
% 9.14/7.07 inference(tautology,[status(thm)],[])).
% 9.14/7.07 tff(36582,plain,
% 9.14/7.07 (~v191(constB21)),
% 9.14/7.07 inference(unit_resolution,[status(thm)],[36581, 36580, 36412])).
% 9.14/7.07 tff(36583,plain,
% 9.14/7.07 ((~(v193(constB22) <=> v191(constB21))) | (~v193(constB22)) | v191(constB21)),
% 9.14/7.07 inference(tautology,[status(thm)],[])).
% 9.14/7.07 tff(36584,plain,
% 9.14/7.07 (~v193(constB22)),
% 9.14/7.07 inference(unit_resolution,[status(thm)],[36583, 36582, 36410])).
% 9.14/7.07 tff(36585,plain,
% 9.14/7.07 ((~(v157(constB22) <=> v193(constB22))) | (~v157(constB22)) | v193(constB22)),
% 9.14/7.07 inference(tautology,[status(thm)],[])).
% 9.14/7.07 tff(36586,plain,
% 9.14/7.07 (~v157(constB22)),
% 9.14/7.07 inference(unit_resolution,[status(thm)],[36585, 36584, 36406])).
% 9.14/7.07 tff(36587,plain,
% 9.14/7.07 (((~v157(constB22)) | (~v195(constB22))) | v157(constB22)),
% 9.14/7.07 inference(tautology,[status(thm)],[])).
% 9.14/7.07 tff(36588,plain,
% 9.14/7.07 ((~v157(constB22)) | (~v195(constB22))),
% 9.14/7.07 inference(unit_resolution,[status(thm)],[36587, 36586])).
% 9.14/7.07 tff(36589,plain,
% 9.14/7.07 ((~(v194(constB22) <=> (~((~v157(constB22)) | (~v195(constB22)))))) | (~v194(constB22)) | (~((~v157(constB22)) | (~v195(constB22))))),
% 9.14/7.07 inference(tautology,[status(thm)],[])).
% 9.14/7.07 tff(36590,plain,
% 9.14/7.07 (~v194(constB22)),
% 9.14/7.07 inference(unit_resolution,[status(thm)],[36589, 36588, 36404])).
% 9.14/7.07 tff(36591,plain,
% 9.14/7.07 ((~(v194(constB22) | v198(constB22))) | v194(constB22) | v198(constB22)),
% 9.14/7.07 inference(tautology,[status(thm)],[])).
% 9.14/7.07 tff(36592,plain,
% 9.14/7.07 (~(v194(constB22) | v198(constB22))),
% 9.14/7.07 inference(unit_resolution,[status(thm)],[36591, 36590, 36397])).
% 9.14/7.07 tff(36593,plain,
% 9.14/7.07 ((~(v191(constB22) <=> (v194(constB22) | v198(constB22)))) | (~v191(constB22)) | (v194(constB22) | v198(constB22))),
% 9.14/7.07 inference(tautology,[status(thm)],[])).
% 9.14/7.07 tff(36594,plain,
% 9.14/7.07 (~v191(constB22)),
% 9.14/7.07 inference(unit_resolution,[status(thm)],[36593, 36592, 36372])).
% 9.14/7.07 tff(36595,plain,
% 9.14/7.07 ((~(v193(constB23) <=> v191(constB22))) | (~v193(constB23)) | v191(constB22)),
% 9.14/7.07 inference(tautology,[status(thm)],[])).
% 9.14/7.07 tff(36596,plain,
% 9.14/7.07 (~v193(constB23)),
% 9.14/7.07 inference(unit_resolution,[status(thm)],[36595, 36594, 36370])).
% 9.14/7.07 tff(36597,plain,
% 9.14/7.07 ($false),
% 9.14/7.07 inference(unit_resolution,[status(thm)],[36596, 36366])).
% 9.14/7.07 tff(36598,plain,(~(constB23 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.14/7.07 tff(36599,assumption,(constB59 = VarCurr!0), introduced(assumption)).
% 9.14/7.07 tff(36600,plain,
% 9.14/7.07 (v86(constB59) <=> v86(VarCurr!0)),
% 9.14/7.07 inference(monotonicity,[status(thm)],[36599])).
% 9.14/7.07 tff(36601,plain,
% 9.14/7.07 (v86(VarCurr!0) <=> v86(constB59)),
% 9.14/7.07 inference(symmetry,[status(thm)],[36600])).
% 9.14/7.07 tff(36602,plain,
% 9.14/7.07 ((~v86(VarCurr!0)) <=> (~v86(constB59))),
% 9.14/7.07 inference(monotonicity,[status(thm)],[36601])).
% 9.14/7.07 tff(36603,plain,
% 9.14/7.07 (~v86(constB59)),
% 9.14/7.07 inference(modus_ponens,[status(thm)],[14736, 36602])).
% 9.14/7.07 tff(36604,plain,
% 9.14/7.07 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB59) <=> (v136(constB59) | v145(constB59)))),
% 9.14/7.07 inference(quant_inst,[status(thm)],[])).
% 9.14/7.07 tff(36605,plain,
% 9.14/7.07 (v135(constB59) <=> (v136(constB59) | v145(constB59))),
% 9.14/7.07 inference(unit_resolution,[status(thm)],[36604, 14744])).
% 9.14/7.07 tff(36606,plain,
% 9.14/7.07 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB59) <=> (v137(constB59) | v142(constB59)))),
% 9.14/7.07 inference(quant_inst,[status(thm)],[])).
% 9.14/7.07 tff(36607,plain,
% 9.14/7.07 (v136(constB59) <=> (v137(constB59) | v142(constB59))),
% 9.14/7.07 inference(unit_resolution,[status(thm)],[36606, 14753])).
% 9.14/7.07 tff(36608,plain,
% 9.14/7.07 ((v137(constB59) | v142(constB59)) | (~v142(constB59))),
% 9.14/7.07 inference(tautology,[status(thm)],[])).
% 9.14/7.07 tff(36609,plain,
% 9.14/7.07 (v137(constB59) | v142(constB59)),
% 9.14/7.07 inference(unit_resolution,[status(thm)],[36608, 29817])).
% 9.14/7.07 tff(36610,plain,
% 9.14/7.07 ((~(v136(constB59) <=> (v137(constB59) | v142(constB59)))) | v136(constB59) | (~(v137(constB59) | v142(constB59)))),
% 9.14/7.07 inference(tautology,[status(thm)],[])).
% 9.14/7.07 tff(36611,plain,
% 9.14/7.07 ((~(v136(constB59) <=> (v137(constB59) | v142(constB59)))) | v136(constB59)),
% 9.14/7.07 inference(unit_resolution,[status(thm)],[36610, 36609])).
% 9.14/7.07 tff(36612,plain,
% 9.14/7.07 (v136(constB59)),
% 9.14/7.07 inference(unit_resolution,[status(thm)],[36611, 36607])).
% 9.14/7.07 tff(36613,plain,
% 9.14/7.07 ((v136(constB59) | v145(constB59)) | (~v136(constB59))),
% 9.14/7.07 inference(tautology,[status(thm)],[])).
% 9.14/7.07 tff(36614,plain,
% 9.14/7.07 (v136(constB59) | v145(constB59)),
% 9.14/7.07 inference(unit_resolution,[status(thm)],[36613, 36612])).
% 9.14/7.07 tff(36615,plain,
% 9.14/7.07 ((~(v135(constB59) <=> (v136(constB59) | v145(constB59)))) | v135(constB59) | (~(v136(constB59) | v145(constB59)))),
% 9.14/7.07 inference(tautology,[status(thm)],[])).
% 9.14/7.07 tff(36616,plain,
% 9.14/7.07 (v135(constB59)),
% 9.14/7.07 inference(unit_resolution,[status(thm)],[36615, 36614, 36605])).
% 9.14/7.07 tff(36617,plain,
% 9.14/7.07 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB59)) | (v86(constB59) <=> v148(constB59)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB59)) | (v86(constB59) <=> v148(constB59)))),
% 9.14/7.07 inference(rewrite,[status(thm)],[])).
% 9.14/7.07 tff(36618,plain,
% 9.14/7.07 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB59)) | (v86(constB59) <=> v148(constB59)))),
% 9.14/7.07 inference(quant_inst,[status(thm)],[])).
% 9.14/7.07 tff(36619,plain,
% 9.14/7.07 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB59)) | (v86(constB59) <=> v148(constB59))),
% 9.14/7.07 inference(modus_ponens,[status(thm)],[36618, 36617])).
% 9.14/7.07 tff(36620,plain,
% 9.14/7.07 (v86(constB59) <=> v148(constB59)),
% 9.14/7.07 inference(unit_resolution,[status(thm)],[36619, 14818, 36616])).
% 9.14/7.07 tff(36621,plain,
% 9.14/7.07 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB59) | (~v142(constB59)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB59) | (~v142(constB59)))),
% 9.14/7.07 inference(rewrite,[status(thm)],[])).
% 9.14/7.07 tff(36622,plain,
% 9.14/7.07 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB59) | (~v142(constB59)))),
% 9.14/7.07 inference(quant_inst,[status(thm)],[])).
% 9.14/7.07 tff(36623,plain,
% 9.14/7.07 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB59) | (~v142(constB59))),
% 9.14/7.07 inference(modus_ponens,[status(thm)],[36622, 36621])).
% 9.14/7.07 tff(36624,plain,
% 9.14/7.07 (v148(constB59)),
% 9.14/7.07 inference(unit_resolution,[status(thm)],[36623, 14832, 29817])).
% 9.14/7.07 tff(36625,plain,
% 9.14/7.07 ((~(v86(constB59) <=> v148(constB59))) | v86(constB59) | (~v148(constB59))),
% 9.14/7.07 inference(tautology,[status(thm)],[])).
% 9.14/7.07 tff(36626,plain,
% 9.14/7.07 ((~(v86(constB59) <=> v148(constB59))) | v86(constB59)),
% 9.14/7.07 inference(unit_resolution,[status(thm)],[36625, 36624])).
% 9.14/7.07 tff(36627,plain,
% 9.14/7.07 (v86(constB59)),
% 9.14/7.07 inference(unit_resolution,[status(thm)],[36626, 36620])).
% 9.14/7.07 tff(36628,plain,
% 9.14/7.07 ($false),
% 9.14/7.07 inference(unit_resolution,[status(thm)],[36627, 36603])).
% 9.14/7.07 tff(36629,plain,(~(constB59 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.14/7.07 tff(36630,assumption,(constB71 = VarCurr!0), introduced(assumption)).
% 9.14/7.07 tff(36631,plain,
% 9.14/7.07 (v193(constB71) <=> v193(VarCurr!0)),
% 9.14/7.07 inference(monotonicity,[status(thm)],[36630])).
% 9.14/7.07 tff(36632,plain,
% 9.14/7.07 (v193(VarCurr!0) <=> v193(constB71)),
% 9.14/7.07 inference(symmetry,[status(thm)],[36631])).
% 9.14/7.07 tff(36633,plain,
% 9.14/7.07 (v193(constB71)),
% 9.14/7.07 inference(modus_ponens,[status(thm)],[59, 36632])).
% 9.14/7.07 tff(36634,plain,
% 9.14/7.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB70, constB71)) | (v193(constB71) <=> v191(constB70)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB70, constB71)) | (v193(constB71) <=> v191(constB70)))),
% 9.14/7.07 inference(rewrite,[status(thm)],[])).
% 9.14/7.07 tff(36635,plain,
% 9.14/7.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB70, constB71)) | (v193(constB71) <=> v191(constB70)))),
% 9.14/7.07 inference(quant_inst,[status(thm)],[])).
% 9.14/7.07 tff(36636,plain,
% 9.14/7.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB70, constB71)) | (v193(constB71) <=> v191(constB70))),
% 9.14/7.07 inference(modus_ponens,[status(thm)],[36635, 36634])).
% 9.14/7.07 tff(36637,plain,
% 9.14/7.07 (v193(constB71) <=> v191(constB70)),
% 9.14/7.07 inference(unit_resolution,[status(thm)],[36636, 889, 70])).
% 9.14/7.07 tff(36638,plain,
% 9.14/7.07 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB70) <=> (v194(constB70) | v198(constB70)))),
% 9.15/7.07 inference(quant_inst,[status(thm)],[])).
% 9.15/7.07 tff(36639,plain,
% 9.15/7.07 (v191(constB70) <=> (v194(constB70) | v198(constB70))),
% 9.15/7.07 inference(unit_resolution,[status(thm)],[36638, 84])).
% 9.15/7.07 tff(36640,plain,
% 9.15/7.07 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB70) <=> (~((~v199(constB70)) | (~v200(constB70)))))),
% 9.15/7.07 inference(quant_inst,[status(thm)],[])).
% 9.15/7.07 tff(36641,plain,
% 9.15/7.07 (v198(constB70) <=> (~((~v199(constB70)) | (~v200(constB70))))),
% 9.15/7.07 inference(unit_resolution,[status(thm)],[36640, 96])).
% 9.15/7.07 tff(36642,plain,
% 9.15/7.07 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB70) <=> (~((~v197(constB70)) | (~v201(constB70)))))),
% 9.15/7.07 inference(quant_inst,[status(thm)],[])).
% 9.15/7.07 tff(36643,plain,
% 9.15/7.07 (v200(constB70) <=> (~((~v197(constB70)) | (~v201(constB70))))),
% 9.15/7.07 inference(unit_resolution,[status(thm)],[36642, 108])).
% 9.15/7.07 tff(36644,plain,
% 9.15/7.07 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB70) <=> (~((~v39(constB70)) | (~v9(constB70)))))),
% 9.15/7.07 inference(quant_inst,[status(thm)],[])).
% 9.15/7.07 tff(36645,plain,
% 9.15/7.07 (v197(constB70) <=> (~((~v39(constB70)) | (~v9(constB70))))),
% 9.15/7.07 inference(unit_resolution,[status(thm)],[36644, 120])).
% 9.15/7.07 tff(36646,plain,
% 9.15/7.07 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB70)) <=> v1(constB70))),
% 9.15/7.07 inference(quant_inst,[status(thm)],[])).
% 9.15/7.07 tff(36647,plain,
% 9.15/7.07 ((~v39(constB70)) <=> v1(constB70)),
% 9.15/7.07 inference(unit_resolution,[status(thm)],[36646, 129])).
% 9.15/7.07 tff(36648,plain,
% 9.15/7.07 ((~((~v39(constB70)) <=> v1(constB70))) | (~v39(constB70)) | (~v1(constB70))),
% 9.15/7.07 inference(tautology,[status(thm)],[])).
% 9.15/7.07 tff(36649,plain,
% 9.15/7.07 ((~((~v39(constB70)) <=> v1(constB70))) | (~v39(constB70))),
% 9.15/7.07 inference(unit_resolution,[status(thm)],[36648, 8903])).
% 9.15/7.07 tff(36650,plain,
% 9.15/7.07 (~v39(constB70)),
% 9.15/7.07 inference(unit_resolution,[status(thm)],[36649, 36647])).
% 9.15/7.07 tff(36651,plain,
% 9.15/7.07 (((~v39(constB70)) | (~v9(constB70))) | v39(constB70)),
% 9.15/7.07 inference(tautology,[status(thm)],[])).
% 9.15/7.07 tff(36652,plain,
% 9.15/7.07 ((~v39(constB70)) | (~v9(constB70))),
% 9.15/7.07 inference(unit_resolution,[status(thm)],[36651, 36650])).
% 9.15/7.07 tff(36653,plain,
% 9.15/7.07 ((~(v197(constB70) <=> (~((~v39(constB70)) | (~v9(constB70)))))) | (~v197(constB70)) | (~((~v39(constB70)) | (~v9(constB70))))),
% 9.15/7.07 inference(tautology,[status(thm)],[])).
% 9.15/7.07 tff(36654,plain,
% 9.15/7.07 ((~(v197(constB70) <=> (~((~v39(constB70)) | (~v9(constB70)))))) | (~v197(constB70))),
% 9.15/7.07 inference(unit_resolution,[status(thm)],[36653, 36652])).
% 9.15/7.07 tff(36655,plain,
% 9.15/7.07 (~v197(constB70)),
% 9.15/7.07 inference(unit_resolution,[status(thm)],[36654, 36645])).
% 9.15/7.07 tff(36656,plain,
% 9.15/7.07 (((~v197(constB70)) | (~v201(constB70))) | v197(constB70)),
% 9.15/7.07 inference(tautology,[status(thm)],[])).
% 9.15/7.07 tff(36657,plain,
% 9.15/7.07 ((~v197(constB70)) | (~v201(constB70))),
% 9.15/7.07 inference(unit_resolution,[status(thm)],[36656, 36655])).
% 9.15/7.07 tff(36658,plain,
% 9.15/7.07 ((~(v200(constB70) <=> (~((~v197(constB70)) | (~v201(constB70)))))) | (~v200(constB70)) | (~((~v197(constB70)) | (~v201(constB70))))),
% 9.15/7.07 inference(tautology,[status(thm)],[])).
% 9.15/7.07 tff(36659,plain,
% 9.15/7.07 ((~(v200(constB70) <=> (~((~v197(constB70)) | (~v201(constB70)))))) | (~v200(constB70))),
% 9.15/7.07 inference(unit_resolution,[status(thm)],[36658, 36657])).
% 9.15/7.07 tff(36660,plain,
% 9.15/7.07 (~v200(constB70)),
% 9.15/7.07 inference(unit_resolution,[status(thm)],[36659, 36643])).
% 9.15/7.07 tff(36661,plain,
% 9.15/7.07 (((~v199(constB70)) | (~v200(constB70))) | v200(constB70)),
% 9.15/7.07 inference(tautology,[status(thm)],[])).
% 9.15/7.07 tff(36662,plain,
% 9.15/7.07 ((~v199(constB70)) | (~v200(constB70))),
% 9.15/7.07 inference(unit_resolution,[status(thm)],[36661, 36660])).
% 9.15/7.07 tff(36663,plain,
% 9.15/7.07 ((~(v198(constB70) <=> (~((~v199(constB70)) | (~v200(constB70)))))) | (~v198(constB70)) | (~((~v199(constB70)) | (~v200(constB70))))),
% 9.15/7.07 inference(tautology,[status(thm)],[])).
% 9.15/7.07 tff(36664,plain,
% 9.15/7.07 (~v198(constB70)),
% 9.15/7.07 inference(unit_resolution,[status(thm)],[36663, 36662, 36641])).
% 9.15/7.07 tff(36665,plain,
% 9.15/7.07 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB70) <=> (~((~v157(constB70)) | (~v195(constB70)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB70) <=> (~((~v157(constB70)) | (~v195(constB70))))))),
% 9.15/7.07 inference(rewrite,[status(thm)],[])).
% 9.15/7.07 tff(36666,plain,
% 9.15/7.07 ((v194(constB70) <=> (~((~v195(constB70)) | (~v157(constB70))))) <=> (v194(constB70) <=> (~((~v157(constB70)) | (~v195(constB70)))))),
% 9.15/7.07 inference(rewrite,[status(thm)],[])).
% 9.15/7.07 tff(36667,plain,
% 9.15/7.07 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB70) <=> (~((~v195(constB70)) | (~v157(constB70)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB70) <=> (~((~v157(constB70)) | (~v195(constB70))))))),
% 9.15/7.07 inference(monotonicity,[status(thm)],[36666])).
% 9.15/7.07 tff(36668,plain,
% 9.15/7.07 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB70) <=> (~((~v195(constB70)) | (~v157(constB70)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB70) <=> (~((~v157(constB70)) | (~v195(constB70))))))),
% 9.15/7.07 inference(transitivity,[status(thm)],[36667, 36665])).
% 9.15/7.07 tff(36669,plain,
% 9.15/7.07 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB70) <=> (~((~v195(constB70)) | (~v157(constB70)))))),
% 9.15/7.07 inference(quant_inst,[status(thm)],[])).
% 9.15/7.07 tff(36670,plain,
% 9.15/7.07 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB70) <=> (~((~v157(constB70)) | (~v195(constB70)))))),
% 9.15/7.07 inference(modus_ponens,[status(thm)],[36669, 36668])).
% 9.15/7.07 tff(36671,plain,
% 9.15/7.07 (v194(constB70) <=> (~((~v157(constB70)) | (~v195(constB70))))),
% 9.15/7.07 inference(unit_resolution,[status(thm)],[36670, 161])).
% 9.15/7.07 tff(36672,plain,
% 9.15/7.07 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB70) <=> v193(constB70))),
% 9.15/7.07 inference(quant_inst,[status(thm)],[])).
% 9.15/7.07 tff(36673,plain,
% 9.15/7.07 (v157(constB70) <=> v193(constB70)),
% 9.15/7.07 inference(unit_resolution,[status(thm)],[36672, 13])).
% 9.15/7.07 tff(36674,plain,
% 9.15/7.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB69, constB70)) | (v193(constB70) <=> v191(constB69)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB69, constB70)) | (v193(constB70) <=> v191(constB69)))),
% 9.15/7.07 inference(rewrite,[status(thm)],[])).
% 9.15/7.07 tff(36675,plain,
% 9.15/7.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB69, constB70)) | (v193(constB70) <=> v191(constB69)))),
% 9.15/7.07 inference(quant_inst,[status(thm)],[])).
% 9.15/7.07 tff(36676,plain,
% 9.15/7.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB69, constB70)) | (v193(constB70) <=> v191(constB69))),
% 9.15/7.07 inference(modus_ponens,[status(thm)],[36675, 36674])).
% 9.15/7.07 tff(36677,plain,
% 9.15/7.07 (v193(constB70) <=> v191(constB69)),
% 9.15/7.07 inference(unit_resolution,[status(thm)],[36676, 925, 70])).
% 9.15/7.07 tff(36678,plain,
% 9.15/7.07 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB69) <=> (v194(constB69) | v198(constB69)))),
% 9.15/7.07 inference(quant_inst,[status(thm)],[])).
% 9.15/7.07 tff(36679,plain,
% 9.15/7.07 (v191(constB69) <=> (v194(constB69) | v198(constB69))),
% 9.15/7.07 inference(unit_resolution,[status(thm)],[36678, 84])).
% 9.15/7.07 tff(36680,plain,
% 9.15/7.07 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB69) <=> (~((~v157(constB69)) | (~v195(constB69)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB69) <=> (~((~v157(constB69)) | (~v195(constB69))))))),
% 9.15/7.07 inference(rewrite,[status(thm)],[])).
% 9.15/7.07 tff(36681,plain,
% 9.15/7.07 ((v194(constB69) <=> (~((~v195(constB69)) | (~v157(constB69))))) <=> (v194(constB69) <=> (~((~v157(constB69)) | (~v195(constB69)))))),
% 9.15/7.07 inference(rewrite,[status(thm)],[])).
% 9.15/7.07 tff(36682,plain,
% 9.15/7.07 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB69) <=> (~((~v195(constB69)) | (~v157(constB69)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB69) <=> (~((~v157(constB69)) | (~v195(constB69))))))),
% 9.15/7.07 inference(monotonicity,[status(thm)],[36681])).
% 9.15/7.07 tff(36683,plain,
% 9.15/7.07 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB69) <=> (~((~v195(constB69)) | (~v157(constB69)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB69) <=> (~((~v157(constB69)) | (~v195(constB69))))))),
% 9.15/7.07 inference(transitivity,[status(thm)],[36682, 36680])).
% 9.15/7.07 tff(36684,plain,
% 9.15/7.07 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB69) <=> (~((~v195(constB69)) | (~v157(constB69)))))),
% 9.15/7.07 inference(quant_inst,[status(thm)],[])).
% 9.15/7.07 tff(36685,plain,
% 9.15/7.07 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB69) <=> (~((~v157(constB69)) | (~v195(constB69)))))),
% 9.15/7.07 inference(modus_ponens,[status(thm)],[36684, 36683])).
% 9.15/7.07 tff(36686,plain,
% 9.15/7.07 (v194(constB69) <=> (~((~v157(constB69)) | (~v195(constB69))))),
% 9.15/7.07 inference(unit_resolution,[status(thm)],[36685, 161])).
% 9.15/7.07 tff(36687,plain,
% 9.15/7.07 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB69)) <=> v196(constB69))),
% 9.15/7.07 inference(quant_inst,[status(thm)],[])).
% 9.15/7.07 tff(36688,plain,
% 9.15/7.07 ((~v195(constB69)) <=> v196(constB69)),
% 9.15/7.07 inference(unit_resolution,[status(thm)],[36687, 193])).
% 9.15/7.07 tff(36689,plain,
% 9.15/7.07 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB69) <=> (v197(constB69) | v26(constB69)))),
% 9.15/7.07 inference(quant_inst,[status(thm)],[])).
% 9.15/7.07 tff(36690,plain,
% 9.15/7.07 (v196(constB69) <=> (v197(constB69) | v26(constB69))),
% 9.15/7.07 inference(unit_resolution,[status(thm)],[36689, 202])).
% 9.15/7.07 tff(36691,plain,
% 9.15/7.07 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB69) <=> (~((~v39(constB69)) | (~v9(constB69)))))),
% 9.15/7.07 inference(quant_inst,[status(thm)],[])).
% 9.15/7.07 tff(36692,plain,
% 9.15/7.07 (v197(constB69) <=> (~((~v39(constB69)) | (~v9(constB69))))),
% 9.15/7.07 inference(unit_resolution,[status(thm)],[36691, 120])).
% 9.15/7.07 tff(36693,plain,
% 9.15/7.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB69, constB70)) | (v13(constB70) <=> v9(constB69)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB69, constB70)) | (v13(constB70) <=> v9(constB69)))),
% 9.15/7.07 inference(rewrite,[status(thm)],[])).
% 9.15/7.07 tff(36694,plain,
% 9.15/7.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB69, constB70)) | (v13(constB70) <=> v9(constB69)))),
% 9.15/7.07 inference(quant_inst,[status(thm)],[])).
% 9.15/7.07 tff(36695,plain,
% 9.15/7.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB69, constB70)) | (v13(constB70) <=> v9(constB69))),
% 9.15/7.07 inference(modus_ponens,[status(thm)],[36694, 36693])).
% 9.15/7.07 tff(36696,plain,
% 9.15/7.07 (v13(constB70) <=> v9(constB69)),
% 9.15/7.07 inference(unit_resolution,[status(thm)],[36695, 925, 216])).
% 9.15/7.07 tff(36697,plain,
% 9.15/7.07 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB70) <=> v13(constB70))),
% 9.15/7.07 inference(quant_inst,[status(thm)],[])).
% 9.15/7.07 tff(36698,plain,
% 9.15/7.07 (v6(constB70) <=> v13(constB70)),
% 9.15/7.07 inference(unit_resolution,[status(thm)],[36697, 230])).
% 9.15/7.07 tff(36699,plain,
% 9.15/7.07 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB70)) <=> v6(constB70))),
% 9.15/7.07 inference(quant_inst,[status(thm)],[])).
% 9.15/7.07 tff(36700,plain,
% 9.15/7.07 ((~v21(constB70)) <=> v6(constB70)),
% 9.15/7.07 inference(unit_resolution,[status(thm)],[36699, 239])).
% 9.15/7.07 tff(36701,plain,
% 9.15/7.07 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB70) <=> (v20(constB70) | v21(constB70)))),
% 9.15/7.07 inference(quant_inst,[status(thm)],[])).
% 9.15/7.07 tff(36702,plain,
% 9.15/7.07 (v19(constB70) <=> (v20(constB70) | v21(constB70))),
% 9.15/7.07 inference(unit_resolution,[status(thm)],[36701, 248])).
% 9.15/7.07 tff(36703,plain,
% 9.15/7.07 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB70) <=> (~((~v19(constB70)) | (~v22(constB70)))))),
% 9.15/7.07 inference(quant_inst,[status(thm)],[])).
% 9.15/7.07 tff(36704,plain,
% 9.15/7.07 (v18(constB70) <=> (~((~v19(constB70)) | (~v22(constB70))))),
% 9.15/7.07 inference(unit_resolution,[status(thm)],[36703, 260])).
% 9.15/7.07 tff(36705,plain,
% 9.15/7.07 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB70)) <=> v18(constB70))),
% 9.15/7.07 inference(quant_inst,[status(thm)],[])).
% 9.15/7.07 tff(36706,plain,
% 9.15/7.07 ((~v4(constB70)) <=> v18(constB70)),
% 9.15/7.07 inference(unit_resolution,[status(thm)],[36705, 269])).
% 9.15/7.07 tff(36707,plain,
% 9.15/7.07 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB70)),
% 9.15/7.07 inference(quant_inst,[status(thm)],[])).
% 9.15/7.07 tff(36708,plain,
% 9.15/7.07 (v4(constB70)),
% 9.15/7.07 inference(unit_resolution,[status(thm)],[36707, 278])).
% 9.15/7.07 tff(36709,plain,
% 9.15/7.07 ((~((~v4(constB70)) <=> v18(constB70))) | (~v4(constB70)) | (~v18(constB70))),
% 9.15/7.07 inference(tautology,[status(thm)],[])).
% 9.15/7.07 tff(36710,plain,
% 9.15/7.07 (~v18(constB70)),
% 9.15/7.07 inference(unit_resolution,[status(thm)],[36709, 36708, 36706])).
% 9.15/7.07 tff(36711,plain,
% 9.15/7.07 ((~(v18(constB70) <=> (~((~v19(constB70)) | (~v22(constB70)))))) | v18(constB70) | ((~v19(constB70)) | (~v22(constB70)))),
% 9.15/7.07 inference(tautology,[status(thm)],[])).
% 9.15/7.07 tff(36712,plain,
% 9.15/7.07 ((~v19(constB70)) | (~v22(constB70))),
% 9.15/7.07 inference(unit_resolution,[status(thm)],[36711, 36710, 36704])).
% 9.15/7.07 tff(36713,plain,
% 9.15/7.07 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB70) <=> (v1(constB70) | v6(constB70)))),
% 9.15/7.07 inference(quant_inst,[status(thm)],[])).
% 9.15/7.07 tff(36714,plain,
% 9.15/7.07 (v22(constB70) <=> (v1(constB70) | v6(constB70))),
% 9.15/7.07 inference(unit_resolution,[status(thm)],[36713, 291])).
% 9.15/7.07 tff(36715,plain,
% 9.15/7.07 ((v1(constB70) | v6(constB70)) | (~v1(constB70))),
% 9.15/7.07 inference(tautology,[status(thm)],[])).
% 9.15/7.07 tff(36716,plain,
% 9.15/7.07 (v1(constB70) | v6(constB70)),
% 9.15/7.07 inference(unit_resolution,[status(thm)],[36715, 8903])).
% 9.15/7.07 tff(36717,plain,
% 9.15/7.07 ((~(v22(constB70) <=> (v1(constB70) | v6(constB70)))) | v22(constB70) | (~(v1(constB70) | v6(constB70)))),
% 9.15/7.07 inference(tautology,[status(thm)],[])).
% 9.15/7.07 tff(36718,plain,
% 9.15/7.07 ((~(v22(constB70) <=> (v1(constB70) | v6(constB70)))) | v22(constB70)),
% 9.15/7.07 inference(unit_resolution,[status(thm)],[36717, 36716])).
% 9.15/7.07 tff(36719,plain,
% 9.15/7.07 (v22(constB70)),
% 9.15/7.07 inference(unit_resolution,[status(thm)],[36718, 36714])).
% 9.15/7.07 tff(36720,plain,
% 9.15/7.07 ((~((~v19(constB70)) | (~v22(constB70)))) | (~v19(constB70)) | (~v22(constB70))),
% 9.15/7.07 inference(tautology,[status(thm)],[])).
% 9.15/7.07 tff(36721,plain,
% 9.15/7.07 ((~((~v19(constB70)) | (~v22(constB70)))) | (~v19(constB70))),
% 9.15/7.07 inference(unit_resolution,[status(thm)],[36720, 36719])).
% 9.15/7.07 tff(36722,plain,
% 9.15/7.07 (~v19(constB70)),
% 9.15/7.07 inference(unit_resolution,[status(thm)],[36721, 36712])).
% 9.15/7.07 tff(36723,plain,
% 9.15/7.07 ((~(v19(constB70) <=> (v20(constB70) | v21(constB70)))) | v19(constB70) | (~(v20(constB70) | v21(constB70)))),
% 9.15/7.07 inference(tautology,[status(thm)],[])).
% 9.15/7.07 tff(36724,plain,
% 9.15/7.07 (~(v20(constB70) | v21(constB70))),
% 9.15/7.07 inference(unit_resolution,[status(thm)],[36723, 36722, 36702])).
% 9.15/7.07 tff(36725,plain,
% 9.15/7.07 ((v20(constB70) | v21(constB70)) | (~v21(constB70))),
% 9.15/7.07 inference(tautology,[status(thm)],[])).
% 9.15/7.07 tff(36726,plain,
% 9.15/7.07 (~v21(constB70)),
% 9.15/7.07 inference(unit_resolution,[status(thm)],[36725, 36724])).
% 9.15/7.07 tff(36727,plain,
% 9.15/7.07 ((~((~v21(constB70)) <=> v6(constB70))) | v21(constB70) | v6(constB70)),
% 9.15/7.07 inference(tautology,[status(thm)],[])).
% 9.15/7.07 tff(36728,plain,
% 9.15/7.07 (v6(constB70)),
% 9.15/7.07 inference(unit_resolution,[status(thm)],[36727, 36726, 36700])).
% 9.15/7.07 tff(36729,plain,
% 9.15/7.07 ((~(v6(constB70) <=> v13(constB70))) | (~v6(constB70)) | v13(constB70)),
% 9.15/7.07 inference(tautology,[status(thm)],[])).
% 9.15/7.07 tff(36730,plain,
% 9.15/7.07 (v13(constB70)),
% 9.15/7.07 inference(unit_resolution,[status(thm)],[36729, 36728, 36698])).
% 9.15/7.07 tff(36731,plain,
% 9.15/7.07 ((~(v13(constB70) <=> v9(constB69))) | (~v13(constB70)) | v9(constB69)),
% 9.15/7.07 inference(tautology,[status(thm)],[])).
% 9.15/7.07 tff(36732,plain,
% 9.15/7.07 (v9(constB69)),
% 9.15/7.07 inference(unit_resolution,[status(thm)],[36731, 36730, 36696])).
% 9.15/7.07 tff(36733,plain,
% 9.15/7.07 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB69)) <=> v1(constB69))),
% 9.15/7.07 inference(quant_inst,[status(thm)],[])).
% 9.15/7.07 tff(36734,plain,
% 9.15/7.07 ((~v39(constB69)) <=> v1(constB69)),
% 9.15/7.07 inference(unit_resolution,[status(thm)],[36733, 129])).
% 9.15/7.07 tff(36735,plain,
% 9.15/7.07 ((~((~v39(constB69)) <=> v1(constB69))) | v39(constB69) | v1(constB69)),
% 9.15/7.07 inference(tautology,[status(thm)],[])).
% 9.15/7.07 tff(36736,plain,
% 9.15/7.07 ((~((~v39(constB69)) <=> v1(constB69))) | v39(constB69)),
% 9.15/7.07 inference(unit_resolution,[status(thm)],[36735, 969])).
% 9.15/7.07 tff(36737,plain,
% 9.15/7.07 (v39(constB69)),
% 9.15/7.07 inference(unit_resolution,[status(thm)],[36736, 36734])).
% 9.15/7.07 tff(36738,plain,
% 9.15/7.07 ((~((~v39(constB69)) | (~v9(constB69)))) | (~v39(constB69)) | (~v9(constB69))),
% 9.15/7.07 inference(tautology,[status(thm)],[])).
% 9.15/7.07 tff(36739,plain,
% 9.15/7.07 ((~((~v39(constB69)) | (~v9(constB69)))) | (~v9(constB69))),
% 9.15/7.07 inference(unit_resolution,[status(thm)],[36738, 36737])).
% 9.15/7.07 tff(36740,plain,
% 9.15/7.07 (~((~v39(constB69)) | (~v9(constB69)))),
% 9.15/7.07 inference(unit_resolution,[status(thm)],[36739, 36732])).
% 9.15/7.07 tff(36741,plain,
% 9.15/7.07 ((~(v197(constB69) <=> (~((~v39(constB69)) | (~v9(constB69)))))) | v197(constB69) | ((~v39(constB69)) | (~v9(constB69)))),
% 9.15/7.07 inference(tautology,[status(thm)],[])).
% 9.15/7.07 tff(36742,plain,
% 9.15/7.07 (v197(constB69)),
% 9.15/7.07 inference(unit_resolution,[status(thm)],[36741, 36740, 36692])).
% 9.15/7.07 tff(36743,plain,
% 9.15/7.07 ((v197(constB69) | v26(constB69)) | (~v197(constB69))),
% 9.15/7.07 inference(tautology,[status(thm)],[])).
% 9.15/7.07 tff(36744,plain,
% 9.15/7.07 (v197(constB69) | v26(constB69)),
% 9.15/7.07 inference(unit_resolution,[status(thm)],[36743, 36742])).
% 9.15/7.07 tff(36745,plain,
% 9.15/7.07 ((~(v196(constB69) <=> (v197(constB69) | v26(constB69)))) | v196(constB69) | (~(v197(constB69) | v26(constB69)))),
% 9.15/7.07 inference(tautology,[status(thm)],[])).
% 9.15/7.07 tff(36746,plain,
% 9.15/7.07 (v196(constB69)),
% 9.15/7.07 inference(unit_resolution,[status(thm)],[36745, 36744, 36690])).
% 9.15/7.07 tff(36747,plain,
% 9.15/7.07 ((~((~v195(constB69)) <=> v196(constB69))) | (~v195(constB69)) | (~v196(constB69))),
% 9.15/7.07 inference(tautology,[status(thm)],[])).
% 9.15/7.07 tff(36748,plain,
% 9.15/7.07 (~v195(constB69)),
% 9.15/7.07 inference(unit_resolution,[status(thm)],[36747, 36746, 36688])).
% 9.15/7.07 tff(36749,plain,
% 9.15/7.07 (((~v157(constB69)) | (~v195(constB69))) | v195(constB69)),
% 9.15/7.07 inference(tautology,[status(thm)],[])).
% 9.15/7.07 tff(36750,plain,
% 9.15/7.07 ((~v157(constB69)) | (~v195(constB69))),
% 9.15/7.07 inference(unit_resolution,[status(thm)],[36749, 36748])).
% 9.15/7.07 tff(36751,plain,
% 9.15/7.07 ((~(v194(constB69) <=> (~((~v157(constB69)) | (~v195(constB69)))))) | (~v194(constB69)) | (~((~v157(constB69)) | (~v195(constB69))))),
% 9.15/7.07 inference(tautology,[status(thm)],[])).
% 9.15/7.07 tff(36752,plain,
% 9.15/7.07 (~v194(constB69)),
% 9.15/7.07 inference(unit_resolution,[status(thm)],[36751, 36750, 36686])).
% 9.15/7.07 tff(36753,plain,
% 9.15/7.07 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB69) <=> (~((~v199(constB69)) | (~v200(constB69)))))),
% 9.15/7.07 inference(quant_inst,[status(thm)],[])).
% 9.15/7.07 tff(36754,plain,
% 9.15/7.07 (v198(constB69) <=> (~((~v199(constB69)) | (~v200(constB69))))),
% 9.15/7.07 inference(unit_resolution,[status(thm)],[36753, 96])).
% 9.15/7.07 tff(36755,plain,
% 9.15/7.07 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB69) <=> (~((~v197(constB69)) | (~v201(constB69)))))),
% 9.15/7.07 inference(quant_inst,[status(thm)],[])).
% 9.15/7.07 tff(36756,plain,
% 9.15/7.07 (v200(constB69) <=> (~((~v197(constB69)) | (~v201(constB69))))),
% 9.15/7.07 inference(unit_resolution,[status(thm)],[36755, 108])).
% 9.15/7.07 tff(36757,plain,
% 9.15/7.07 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB69) <=> (~((~v159(constB69)) | (~v161(constB69)))))),
% 9.15/7.07 inference(quant_inst,[status(thm)],[])).
% 9.15/7.07 tff(36758,plain,
% 9.15/7.07 (v201(constB69) <=> (~((~v159(constB69)) | (~v161(constB69))))),
% 9.15/7.07 inference(unit_resolution,[status(thm)],[36757, 348])).
% 9.15/7.07 tff(36759,plain,
% 9.15/7.07 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB69) <=> v163(constB69))),
% 9.15/7.07 inference(quant_inst,[status(thm)],[])).
% 9.15/7.07 tff(36760,plain,
% 9.15/7.07 (v161(constB69) <=> v163(constB69)),
% 9.15/7.07 inference(unit_resolution,[status(thm)],[36759, 357])).
% 9.15/7.07 tff(36761,plain,
% 9.15/7.07 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB69) <=> (v145(constB69) | v167(constB69)))),
% 9.15/7.07 inference(quant_inst,[status(thm)],[])).
% 9.15/7.07 tff(36762,plain,
% 9.15/7.07 (v166(constB69) <=> (v145(constB69) | v167(constB69))),
% 9.15/7.07 inference(unit_resolution,[status(thm)],[36761, 369])).
% 9.15/7.07 tff(36763,plain,
% 9.15/7.07 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB69) <=> (v142(constB69) | v168(constB69)))),
% 9.15/7.07 inference(quant_inst,[status(thm)],[])).
% 9.15/7.07 tff(36764,plain,
% 9.15/7.07 (v167(constB69) <=> (v142(constB69) | v168(constB69))),
% 9.15/7.07 inference(unit_resolution,[status(thm)],[36763, 381])).
% 9.15/7.07 tff(36765,plain,
% 9.15/7.07 ((v142(constB69) | v168(constB69)) | (~v142(constB69))),
% 9.15/7.07 inference(tautology,[status(thm)],[])).
% 9.15/7.07 tff(36766,plain,
% 9.15/7.07 (v142(constB69) | v168(constB69)),
% 9.15/7.07 inference(unit_resolution,[status(thm)],[36765, 28082])).
% 9.15/7.07 tff(36767,plain,
% 9.15/7.07 ((~(v167(constB69) <=> (v142(constB69) | v168(constB69)))) | v167(constB69) | (~(v142(constB69) | v168(constB69)))),
% 9.15/7.07 inference(tautology,[status(thm)],[])).
% 9.15/7.07 tff(36768,plain,
% 9.15/7.07 ((~(v167(constB69) <=> (v142(constB69) | v168(constB69)))) | v167(constB69)),
% 9.15/7.07 inference(unit_resolution,[status(thm)],[36767, 36766])).
% 9.15/7.07 tff(36769,plain,
% 9.15/7.07 (v167(constB69)),
% 9.15/7.07 inference(unit_resolution,[status(thm)],[36768, 36764])).
% 9.15/7.07 tff(36770,plain,
% 9.15/7.07 ((v145(constB69) | v167(constB69)) | (~v167(constB69))),
% 9.15/7.07 inference(tautology,[status(thm)],[])).
% 9.15/7.07 tff(36771,plain,
% 9.15/7.07 (v145(constB69) | v167(constB69)),
% 9.15/7.07 inference(unit_resolution,[status(thm)],[36770, 36769])).
% 9.15/7.07 tff(36772,plain,
% 9.15/7.07 ((~(v166(constB69) <=> (v145(constB69) | v167(constB69)))) | v166(constB69) | (~(v145(constB69) | v167(constB69)))),
% 9.15/7.07 inference(tautology,[status(thm)],[])).
% 9.15/7.07 tff(36773,plain,
% 9.15/7.07 (v166(constB69)),
% 9.15/7.07 inference(unit_resolution,[status(thm)],[36772, 36771, 36762])).
% 9.15/7.07 tff(36774,plain,
% 9.15/7.07 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB69)) | (v163(constB69) <=> v170(constB69)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB69)) | (v163(constB69) <=> v170(constB69)))),
% 9.15/7.07 inference(rewrite,[status(thm)],[])).
% 9.15/7.07 tff(36775,plain,
% 9.15/7.07 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB69)) | (v163(constB69) <=> v170(constB69)))),
% 9.15/7.07 inference(quant_inst,[status(thm)],[])).
% 9.15/7.07 tff(36776,plain,
% 9.15/7.07 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB69)) | (v163(constB69) <=> v170(constB69))),
% 9.15/7.07 inference(modus_ponens,[status(thm)],[36775, 36774])).
% 9.15/7.07 tff(36777,plain,
% 9.15/7.07 ((~v166(constB69)) | (v163(constB69) <=> v170(constB69))),
% 9.15/7.07 inference(unit_resolution,[status(thm)],[36776, 9851])).
% 9.15/7.07 tff(36778,plain,
% 9.15/7.07 (v163(constB69) <=> v170(constB69)),
% 9.15/7.07 inference(unit_resolution,[status(thm)],[36777, 36773])).
% 9.15/7.07 tff(36779,plain,
% 9.15/7.07 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB69) <=> (v142(constB69) | v150(constB69)))),
% 9.15/7.07 inference(quant_inst,[status(thm)],[])).
% 9.15/7.07 tff(36780,plain,
% 9.15/7.07 (v171(constB69) <=> (v142(constB69) | v150(constB69))),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36779, 9866])).
% 9.15/7.08 tff(36781,plain,
% 9.15/7.08 ((v142(constB69) | v150(constB69)) | (~v142(constB69))),
% 9.15/7.08 inference(tautology,[status(thm)],[])).
% 9.15/7.08 tff(36782,plain,
% 9.15/7.08 (v142(constB69) | v150(constB69)),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36781, 28082])).
% 9.15/7.08 tff(36783,plain,
% 9.15/7.08 ((~(v171(constB69) <=> (v142(constB69) | v150(constB69)))) | v171(constB69) | (~(v142(constB69) | v150(constB69)))),
% 9.15/7.08 inference(tautology,[status(thm)],[])).
% 9.15/7.08 tff(36784,plain,
% 9.15/7.08 ((~(v171(constB69) <=> (v142(constB69) | v150(constB69)))) | v171(constB69)),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36783, 36782])).
% 9.15/7.08 tff(36785,plain,
% 9.15/7.08 (v171(constB69)),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36784, 36780])).
% 9.15/7.08 tff(36786,plain,
% 9.15/7.08 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB69)) | (~v171(constB69)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB69)) | (~v171(constB69)))),
% 9.15/7.08 inference(rewrite,[status(thm)],[])).
% 9.15/7.08 tff(36787,plain,
% 9.15/7.08 (((~v171(constB69)) | (~v170(constB69))) <=> ((~v170(constB69)) | (~v171(constB69)))),
% 9.15/7.08 inference(rewrite,[status(thm)],[])).
% 9.15/7.08 tff(36788,plain,
% 9.15/7.08 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB69)) | (~v170(constB69)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB69)) | (~v171(constB69))))),
% 9.15/7.08 inference(monotonicity,[status(thm)],[36787])).
% 9.15/7.08 tff(36789,plain,
% 9.15/7.08 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB69)) | (~v170(constB69)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB69)) | (~v171(constB69)))),
% 9.15/7.08 inference(transitivity,[status(thm)],[36788, 36786])).
% 9.15/7.08 tff(36790,plain,
% 9.15/7.08 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB69)) | (~v170(constB69)))),
% 9.15/7.08 inference(quant_inst,[status(thm)],[])).
% 9.15/7.08 tff(36791,plain,
% 9.15/7.08 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB69)) | (~v171(constB69))),
% 9.15/7.08 inference(modus_ponens,[status(thm)],[36790, 36789])).
% 9.15/7.08 tff(36792,plain,
% 9.15/7.08 (~v170(constB69)),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36791, 9899, 36785])).
% 9.15/7.08 tff(36793,plain,
% 9.15/7.08 ((~(v163(constB69) <=> v170(constB69))) | (~v163(constB69)) | v170(constB69)),
% 9.15/7.08 inference(tautology,[status(thm)],[])).
% 9.15/7.08 tff(36794,plain,
% 9.15/7.08 (~v163(constB69)),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36793, 36792, 36778])).
% 9.15/7.08 tff(36795,plain,
% 9.15/7.08 ((~(v161(constB69) <=> v163(constB69))) | (~v161(constB69)) | v163(constB69)),
% 9.15/7.08 inference(tautology,[status(thm)],[])).
% 9.15/7.08 tff(36796,plain,
% 9.15/7.08 (~v161(constB69)),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36795, 36794, 36760])).
% 9.15/7.08 tff(36797,plain,
% 9.15/7.08 (((~v159(constB69)) | (~v161(constB69))) | v161(constB69)),
% 9.15/7.08 inference(tautology,[status(thm)],[])).
% 9.15/7.08 tff(36798,plain,
% 9.15/7.08 ((~v159(constB69)) | (~v161(constB69))),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36797, 36796])).
% 9.15/7.08 tff(36799,plain,
% 9.15/7.08 ((~(v201(constB69) <=> (~((~v159(constB69)) | (~v161(constB69)))))) | (~v201(constB69)) | (~((~v159(constB69)) | (~v161(constB69))))),
% 9.15/7.08 inference(tautology,[status(thm)],[])).
% 9.15/7.08 tff(36800,plain,
% 9.15/7.08 (~v201(constB69)),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36799, 36798, 36758])).
% 9.15/7.08 tff(36801,plain,
% 9.15/7.08 (((~v197(constB69)) | (~v201(constB69))) | v201(constB69)),
% 9.15/7.08 inference(tautology,[status(thm)],[])).
% 9.15/7.08 tff(36802,plain,
% 9.15/7.08 ((~v197(constB69)) | (~v201(constB69))),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36801, 36800])).
% 9.15/7.08 tff(36803,plain,
% 9.15/7.08 ((~(v200(constB69) <=> (~((~v197(constB69)) | (~v201(constB69)))))) | (~v200(constB69)) | (~((~v197(constB69)) | (~v201(constB69))))),
% 9.15/7.08 inference(tautology,[status(thm)],[])).
% 9.15/7.08 tff(36804,plain,
% 9.15/7.08 (~v200(constB69)),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36803, 36802, 36756])).
% 9.15/7.08 tff(36805,plain,
% 9.15/7.08 (((~v199(constB69)) | (~v200(constB69))) | v200(constB69)),
% 9.15/7.08 inference(tautology,[status(thm)],[])).
% 9.15/7.08 tff(36806,plain,
% 9.15/7.08 ((~v199(constB69)) | (~v200(constB69))),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36805, 36804])).
% 9.15/7.08 tff(36807,plain,
% 9.15/7.08 ((~(v198(constB69) <=> (~((~v199(constB69)) | (~v200(constB69)))))) | (~v198(constB69)) | (~((~v199(constB69)) | (~v200(constB69))))),
% 9.15/7.08 inference(tautology,[status(thm)],[])).
% 9.15/7.08 tff(36808,plain,
% 9.15/7.08 (~v198(constB69)),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36807, 36806, 36754])).
% 9.15/7.08 tff(36809,plain,
% 9.15/7.08 ((~(v194(constB69) | v198(constB69))) | v194(constB69) | v198(constB69)),
% 9.15/7.08 inference(tautology,[status(thm)],[])).
% 9.15/7.08 tff(36810,plain,
% 9.15/7.08 (~(v194(constB69) | v198(constB69))),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36809, 36808, 36752])).
% 9.15/7.08 tff(36811,plain,
% 9.15/7.08 ((~(v191(constB69) <=> (v194(constB69) | v198(constB69)))) | (~v191(constB69)) | (v194(constB69) | v198(constB69))),
% 9.15/7.08 inference(tautology,[status(thm)],[])).
% 9.15/7.08 tff(36812,plain,
% 9.15/7.08 (~v191(constB69)),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36811, 36810, 36679])).
% 9.15/7.08 tff(36813,plain,
% 9.15/7.08 ((~(v193(constB70) <=> v191(constB69))) | (~v193(constB70)) | v191(constB69)),
% 9.15/7.08 inference(tautology,[status(thm)],[])).
% 9.15/7.08 tff(36814,plain,
% 9.15/7.08 (~v193(constB70)),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36813, 36812, 36677])).
% 9.15/7.08 tff(36815,plain,
% 9.15/7.08 ((~(v157(constB70) <=> v193(constB70))) | (~v157(constB70)) | v193(constB70)),
% 9.15/7.08 inference(tautology,[status(thm)],[])).
% 9.15/7.08 tff(36816,plain,
% 9.15/7.08 (~v157(constB70)),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36815, 36814, 36673])).
% 9.15/7.08 tff(36817,plain,
% 9.15/7.08 (((~v157(constB70)) | (~v195(constB70))) | v157(constB70)),
% 9.15/7.08 inference(tautology,[status(thm)],[])).
% 9.15/7.08 tff(36818,plain,
% 9.15/7.08 ((~v157(constB70)) | (~v195(constB70))),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36817, 36816])).
% 9.15/7.08 tff(36819,plain,
% 9.15/7.08 ((~(v194(constB70) <=> (~((~v157(constB70)) | (~v195(constB70)))))) | (~v194(constB70)) | (~((~v157(constB70)) | (~v195(constB70))))),
% 9.15/7.08 inference(tautology,[status(thm)],[])).
% 9.15/7.08 tff(36820,plain,
% 9.15/7.08 (~v194(constB70)),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36819, 36818, 36671])).
% 9.15/7.08 tff(36821,plain,
% 9.15/7.08 ((~(v194(constB70) | v198(constB70))) | v194(constB70) | v198(constB70)),
% 9.15/7.08 inference(tautology,[status(thm)],[])).
% 9.15/7.08 tff(36822,plain,
% 9.15/7.08 (~(v194(constB70) | v198(constB70))),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36821, 36820, 36664])).
% 9.15/7.08 tff(36823,plain,
% 9.15/7.08 ((~(v191(constB70) <=> (v194(constB70) | v198(constB70)))) | (~v191(constB70)) | (v194(constB70) | v198(constB70))),
% 9.15/7.08 inference(tautology,[status(thm)],[])).
% 9.15/7.08 tff(36824,plain,
% 9.15/7.08 (~v191(constB70)),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36823, 36822, 36639])).
% 9.15/7.08 tff(36825,plain,
% 9.15/7.08 ((~(v193(constB71) <=> v191(constB70))) | (~v193(constB71)) | v191(constB70)),
% 9.15/7.08 inference(tautology,[status(thm)],[])).
% 9.15/7.08 tff(36826,plain,
% 9.15/7.08 (~v193(constB71)),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36825, 36824, 36637])).
% 9.15/7.08 tff(36827,plain,
% 9.15/7.08 ($false),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36826, 36633])).
% 9.15/7.08 tff(36828,plain,(~(constB71 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.15/7.08 tff(36829,assumption,(constB151 = VarCurr!0), introduced(assumption)).
% 9.15/7.08 tff(36830,plain,
% 9.15/7.08 (v193(constB151) <=> v193(VarCurr!0)),
% 9.15/7.08 inference(monotonicity,[status(thm)],[36829])).
% 9.15/7.08 tff(36831,plain,
% 9.15/7.08 (v193(VarCurr!0) <=> v193(constB151)),
% 9.15/7.08 inference(symmetry,[status(thm)],[36830])).
% 9.15/7.08 tff(36832,plain,
% 9.15/7.08 (v193(constB151)),
% 9.15/7.08 inference(modus_ponens,[status(thm)],[59, 36831])).
% 9.15/7.08 tff(36833,plain,
% 9.15/7.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB150, constB151)) | (v193(constB151) <=> v191(constB150)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB150, constB151)) | (v193(constB151) <=> v191(constB150)))),
% 9.15/7.08 inference(rewrite,[status(thm)],[])).
% 9.15/7.08 tff(36834,plain,
% 9.15/7.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB150, constB151)) | (v193(constB151) <=> v191(constB150)))),
% 9.15/7.08 inference(quant_inst,[status(thm)],[])).
% 9.15/7.08 tff(36835,plain,
% 9.15/7.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB150, constB151)) | (v193(constB151) <=> v191(constB150))),
% 9.15/7.08 inference(modus_ponens,[status(thm)],[36834, 36833])).
% 9.15/7.08 tff(36836,plain,
% 9.15/7.08 (v193(constB151) <=> v191(constB150)),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36835, 16413, 70])).
% 9.15/7.08 tff(36837,plain,
% 9.15/7.08 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB150) <=> (v194(constB150) | v198(constB150)))),
% 9.15/7.08 inference(quant_inst,[status(thm)],[])).
% 9.15/7.08 tff(36838,plain,
% 9.15/7.08 (v191(constB150) <=> (v194(constB150) | v198(constB150))),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36837, 84])).
% 9.15/7.08 tff(36839,plain,
% 9.15/7.08 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB150) <=> (~((~v199(constB150)) | (~v200(constB150)))))),
% 9.15/7.08 inference(quant_inst,[status(thm)],[])).
% 9.15/7.08 tff(36840,plain,
% 9.15/7.08 (v198(constB150) <=> (~((~v199(constB150)) | (~v200(constB150))))),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36839, 96])).
% 9.15/7.08 tff(36841,plain,
% 9.15/7.08 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB150) <=> (~((~v197(constB150)) | (~v201(constB150)))))),
% 9.15/7.08 inference(quant_inst,[status(thm)],[])).
% 9.15/7.08 tff(36842,plain,
% 9.15/7.08 (v200(constB150) <=> (~((~v197(constB150)) | (~v201(constB150))))),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36841, 108])).
% 9.15/7.08 tff(36843,plain,
% 9.15/7.08 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB150) <=> (~((~v39(constB150)) | (~v9(constB150)))))),
% 9.15/7.08 inference(quant_inst,[status(thm)],[])).
% 9.15/7.08 tff(36844,plain,
% 9.15/7.08 (v197(constB150) <=> (~((~v39(constB150)) | (~v9(constB150))))),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36843, 120])).
% 9.15/7.08 tff(36845,plain,
% 9.15/7.08 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB150)) <=> v1(constB150))),
% 9.15/7.08 inference(quant_inst,[status(thm)],[])).
% 9.15/7.08 tff(36846,plain,
% 9.15/7.08 ((~v39(constB150)) <=> v1(constB150)),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36845, 129])).
% 9.15/7.08 tff(36847,plain,
% 9.15/7.08 ((~((~v39(constB150)) <=> v1(constB150))) | (~v39(constB150)) | (~v1(constB150))),
% 9.15/7.08 inference(tautology,[status(thm)],[])).
% 9.15/7.08 tff(36848,plain,
% 9.15/7.08 ((~((~v39(constB150)) <=> v1(constB150))) | (~v39(constB150))),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36847, 20342])).
% 9.15/7.08 tff(36849,plain,
% 9.15/7.08 (~v39(constB150)),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36848, 36846])).
% 9.15/7.08 tff(36850,plain,
% 9.15/7.08 (((~v39(constB150)) | (~v9(constB150))) | v39(constB150)),
% 9.15/7.08 inference(tautology,[status(thm)],[])).
% 9.15/7.08 tff(36851,plain,
% 9.15/7.08 ((~v39(constB150)) | (~v9(constB150))),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36850, 36849])).
% 9.15/7.08 tff(36852,plain,
% 9.15/7.08 ((~(v197(constB150) <=> (~((~v39(constB150)) | (~v9(constB150)))))) | (~v197(constB150)) | (~((~v39(constB150)) | (~v9(constB150))))),
% 9.15/7.08 inference(tautology,[status(thm)],[])).
% 9.15/7.08 tff(36853,plain,
% 9.15/7.08 ((~(v197(constB150) <=> (~((~v39(constB150)) | (~v9(constB150)))))) | (~v197(constB150))),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36852, 36851])).
% 9.15/7.08 tff(36854,plain,
% 9.15/7.08 (~v197(constB150)),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36853, 36844])).
% 9.15/7.08 tff(36855,plain,
% 9.15/7.08 (((~v197(constB150)) | (~v201(constB150))) | v197(constB150)),
% 9.15/7.08 inference(tautology,[status(thm)],[])).
% 9.15/7.08 tff(36856,plain,
% 9.15/7.08 ((~v197(constB150)) | (~v201(constB150))),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36855, 36854])).
% 9.15/7.08 tff(36857,plain,
% 9.15/7.08 ((~(v200(constB150) <=> (~((~v197(constB150)) | (~v201(constB150)))))) | (~v200(constB150)) | (~((~v197(constB150)) | (~v201(constB150))))),
% 9.15/7.08 inference(tautology,[status(thm)],[])).
% 9.15/7.08 tff(36858,plain,
% 9.15/7.08 ((~(v200(constB150) <=> (~((~v197(constB150)) | (~v201(constB150)))))) | (~v200(constB150))),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36857, 36856])).
% 9.15/7.08 tff(36859,plain,
% 9.15/7.08 (~v200(constB150)),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36858, 36842])).
% 9.15/7.08 tff(36860,plain,
% 9.15/7.08 (((~v199(constB150)) | (~v200(constB150))) | v200(constB150)),
% 9.15/7.08 inference(tautology,[status(thm)],[])).
% 9.15/7.08 tff(36861,plain,
% 9.15/7.08 ((~v199(constB150)) | (~v200(constB150))),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36860, 36859])).
% 9.15/7.08 tff(36862,plain,
% 9.15/7.08 ((~(v198(constB150) <=> (~((~v199(constB150)) | (~v200(constB150)))))) | (~v198(constB150)) | (~((~v199(constB150)) | (~v200(constB150))))),
% 9.15/7.08 inference(tautology,[status(thm)],[])).
% 9.15/7.08 tff(36863,plain,
% 9.15/7.08 (~v198(constB150)),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36862, 36861, 36840])).
% 9.15/7.08 tff(36864,plain,
% 9.15/7.08 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB150) <=> (~((~v157(constB150)) | (~v195(constB150)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB150) <=> (~((~v157(constB150)) | (~v195(constB150))))))),
% 9.15/7.08 inference(rewrite,[status(thm)],[])).
% 9.15/7.08 tff(36865,plain,
% 9.15/7.08 ((v194(constB150) <=> (~((~v195(constB150)) | (~v157(constB150))))) <=> (v194(constB150) <=> (~((~v157(constB150)) | (~v195(constB150)))))),
% 9.15/7.08 inference(rewrite,[status(thm)],[])).
% 9.15/7.08 tff(36866,plain,
% 9.15/7.08 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB150) <=> (~((~v195(constB150)) | (~v157(constB150)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB150) <=> (~((~v157(constB150)) | (~v195(constB150))))))),
% 9.15/7.08 inference(monotonicity,[status(thm)],[36865])).
% 9.15/7.08 tff(36867,plain,
% 9.15/7.08 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB150) <=> (~((~v195(constB150)) | (~v157(constB150)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB150) <=> (~((~v157(constB150)) | (~v195(constB150))))))),
% 9.15/7.08 inference(transitivity,[status(thm)],[36866, 36864])).
% 9.15/7.08 tff(36868,plain,
% 9.15/7.08 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB150) <=> (~((~v195(constB150)) | (~v157(constB150)))))),
% 9.15/7.08 inference(quant_inst,[status(thm)],[])).
% 9.15/7.08 tff(36869,plain,
% 9.15/7.08 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB150) <=> (~((~v157(constB150)) | (~v195(constB150)))))),
% 9.15/7.08 inference(modus_ponens,[status(thm)],[36868, 36867])).
% 9.15/7.08 tff(36870,plain,
% 9.15/7.08 (v194(constB150) <=> (~((~v157(constB150)) | (~v195(constB150))))),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36869, 161])).
% 9.15/7.08 tff(36871,plain,
% 9.15/7.08 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB150) <=> v193(constB150))),
% 9.15/7.08 inference(quant_inst,[status(thm)],[])).
% 9.15/7.08 tff(36872,plain,
% 9.15/7.08 (v157(constB150) <=> v193(constB150)),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36871, 13])).
% 9.15/7.08 tff(36873,plain,
% 9.15/7.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB149, constB150)) | (v193(constB150) <=> v191(constB149)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB149, constB150)) | (v193(constB150) <=> v191(constB149)))),
% 9.15/7.08 inference(rewrite,[status(thm)],[])).
% 9.15/7.08 tff(36874,plain,
% 9.15/7.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB149, constB150)) | (v193(constB150) <=> v191(constB149)))),
% 9.15/7.08 inference(quant_inst,[status(thm)],[])).
% 9.15/7.08 tff(36875,plain,
% 9.15/7.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB149, constB150)) | (v193(constB150) <=> v191(constB149))),
% 9.15/7.08 inference(modus_ponens,[status(thm)],[36874, 36873])).
% 9.15/7.08 tff(36876,plain,
% 9.15/7.08 (v193(constB150) <=> v191(constB149)),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36875, 16449, 70])).
% 9.15/7.08 tff(36877,plain,
% 9.15/7.08 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB149) <=> (v194(constB149) | v198(constB149)))),
% 9.15/7.08 inference(quant_inst,[status(thm)],[])).
% 9.15/7.08 tff(36878,plain,
% 9.15/7.08 (v191(constB149) <=> (v194(constB149) | v198(constB149))),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36877, 84])).
% 9.15/7.08 tff(36879,plain,
% 9.15/7.08 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB149) <=> (~((~v157(constB149)) | (~v195(constB149)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB149) <=> (~((~v157(constB149)) | (~v195(constB149))))))),
% 9.15/7.08 inference(rewrite,[status(thm)],[])).
% 9.15/7.08 tff(36880,plain,
% 9.15/7.08 ((v194(constB149) <=> (~((~v195(constB149)) | (~v157(constB149))))) <=> (v194(constB149) <=> (~((~v157(constB149)) | (~v195(constB149)))))),
% 9.15/7.08 inference(rewrite,[status(thm)],[])).
% 9.15/7.08 tff(36881,plain,
% 9.15/7.08 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB149) <=> (~((~v195(constB149)) | (~v157(constB149)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB149) <=> (~((~v157(constB149)) | (~v195(constB149))))))),
% 9.15/7.08 inference(monotonicity,[status(thm)],[36880])).
% 9.15/7.08 tff(36882,plain,
% 9.15/7.08 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB149) <=> (~((~v195(constB149)) | (~v157(constB149)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB149) <=> (~((~v157(constB149)) | (~v195(constB149))))))),
% 9.15/7.08 inference(transitivity,[status(thm)],[36881, 36879])).
% 9.15/7.08 tff(36883,plain,
% 9.15/7.08 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB149) <=> (~((~v195(constB149)) | (~v157(constB149)))))),
% 9.15/7.08 inference(quant_inst,[status(thm)],[])).
% 9.15/7.08 tff(36884,plain,
% 9.15/7.08 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB149) <=> (~((~v157(constB149)) | (~v195(constB149)))))),
% 9.15/7.08 inference(modus_ponens,[status(thm)],[36883, 36882])).
% 9.15/7.08 tff(36885,plain,
% 9.15/7.08 (v194(constB149) <=> (~((~v157(constB149)) | (~v195(constB149))))),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36884, 161])).
% 9.15/7.08 tff(36886,plain,
% 9.15/7.08 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB149)) <=> v196(constB149))),
% 9.15/7.08 inference(quant_inst,[status(thm)],[])).
% 9.15/7.08 tff(36887,plain,
% 9.15/7.08 ((~v195(constB149)) <=> v196(constB149)),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36886, 193])).
% 9.15/7.08 tff(36888,plain,
% 9.15/7.08 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB149) <=> (v197(constB149) | v26(constB149)))),
% 9.15/7.08 inference(quant_inst,[status(thm)],[])).
% 9.15/7.08 tff(36889,plain,
% 9.15/7.08 (v196(constB149) <=> (v197(constB149) | v26(constB149))),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36888, 202])).
% 9.15/7.08 tff(36890,plain,
% 9.15/7.08 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB149) <=> (~((~v39(constB149)) | (~v9(constB149)))))),
% 9.15/7.08 inference(quant_inst,[status(thm)],[])).
% 9.15/7.08 tff(36891,plain,
% 9.15/7.08 (v197(constB149) <=> (~((~v39(constB149)) | (~v9(constB149))))),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36890, 120])).
% 9.15/7.08 tff(36892,plain,
% 9.15/7.08 (((~![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)))),
% 9.15/7.08 inference(rewrite,[status(thm)],[])).
% 9.15/7.08 tff(36893,plain,
% 9.15/7.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB149, constB150)) | (v13(constB150) <=> v9(constB149)))),
% 9.15/7.08 inference(quant_inst,[status(thm)],[])).
% 9.15/7.08 tff(36894,plain,
% 9.15/7.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB149, constB150)) | (v13(constB150) <=> v9(constB149))),
% 9.15/7.08 inference(modus_ponens,[status(thm)],[36893, 36892])).
% 9.15/7.08 tff(36895,plain,
% 9.15/7.08 (v13(constB150) <=> v9(constB149)),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36894, 16449, 216])).
% 9.15/7.08 tff(36896,plain,
% 9.15/7.08 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB150) <=> v13(constB150))),
% 9.15/7.08 inference(quant_inst,[status(thm)],[])).
% 9.15/7.08 tff(36897,plain,
% 9.15/7.08 (v6(constB150) <=> v13(constB150)),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36896, 230])).
% 9.15/7.08 tff(36898,plain,
% 9.15/7.08 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB150)) <=> v6(constB150))),
% 9.15/7.08 inference(quant_inst,[status(thm)],[])).
% 9.15/7.08 tff(36899,plain,
% 9.15/7.08 ((~v21(constB150)) <=> v6(constB150)),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36898, 239])).
% 9.15/7.08 tff(36900,plain,
% 9.15/7.08 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB150) <=> (v20(constB150) | v21(constB150)))),
% 9.15/7.08 inference(quant_inst,[status(thm)],[])).
% 9.15/7.08 tff(36901,plain,
% 9.15/7.08 (v19(constB150) <=> (v20(constB150) | v21(constB150))),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36900, 248])).
% 9.15/7.08 tff(36902,plain,
% 9.15/7.08 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB150) <=> (~((~v19(constB150)) | (~v22(constB150)))))),
% 9.15/7.08 inference(quant_inst,[status(thm)],[])).
% 9.15/7.08 tff(36903,plain,
% 9.15/7.08 (v18(constB150) <=> (~((~v19(constB150)) | (~v22(constB150))))),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36902, 260])).
% 9.15/7.08 tff(36904,plain,
% 9.15/7.08 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB150)) <=> v18(constB150))),
% 9.15/7.08 inference(quant_inst,[status(thm)],[])).
% 9.15/7.08 tff(36905,plain,
% 9.15/7.08 ((~v4(constB150)) <=> v18(constB150)),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36904, 269])).
% 9.15/7.08 tff(36906,plain,
% 9.15/7.08 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB150)),
% 9.15/7.08 inference(quant_inst,[status(thm)],[])).
% 9.15/7.08 tff(36907,plain,
% 9.15/7.08 (v4(constB150)),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36906, 278])).
% 9.15/7.08 tff(36908,plain,
% 9.15/7.08 ((~((~v4(constB150)) <=> v18(constB150))) | (~v4(constB150)) | (~v18(constB150))),
% 9.15/7.08 inference(tautology,[status(thm)],[])).
% 9.15/7.08 tff(36909,plain,
% 9.15/7.08 (~v18(constB150)),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36908, 36907, 36905])).
% 9.15/7.08 tff(36910,plain,
% 9.15/7.08 ((~(v18(constB150) <=> (~((~v19(constB150)) | (~v22(constB150)))))) | v18(constB150) | ((~v19(constB150)) | (~v22(constB150)))),
% 9.15/7.08 inference(tautology,[status(thm)],[])).
% 9.15/7.08 tff(36911,plain,
% 9.15/7.08 ((~v19(constB150)) | (~v22(constB150))),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36910, 36909, 36903])).
% 9.15/7.08 tff(36912,plain,
% 9.15/7.08 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB150) <=> (v1(constB150) | v6(constB150)))),
% 9.15/7.08 inference(quant_inst,[status(thm)],[])).
% 9.15/7.08 tff(36913,plain,
% 9.15/7.08 (v22(constB150) <=> (v1(constB150) | v6(constB150))),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36912, 291])).
% 9.15/7.08 tff(36914,plain,
% 9.15/7.08 ((v1(constB150) | v6(constB150)) | (~v1(constB150))),
% 9.15/7.08 inference(tautology,[status(thm)],[])).
% 9.15/7.08 tff(36915,plain,
% 9.15/7.08 (v1(constB150) | v6(constB150)),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36914, 20342])).
% 9.15/7.08 tff(36916,plain,
% 9.15/7.08 ((~(v22(constB150) <=> (v1(constB150) | v6(constB150)))) | v22(constB150) | (~(v1(constB150) | v6(constB150)))),
% 9.15/7.08 inference(tautology,[status(thm)],[])).
% 9.15/7.08 tff(36917,plain,
% 9.15/7.08 ((~(v22(constB150) <=> (v1(constB150) | v6(constB150)))) | v22(constB150)),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36916, 36915])).
% 9.15/7.08 tff(36918,plain,
% 9.15/7.08 (v22(constB150)),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36917, 36913])).
% 9.15/7.08 tff(36919,plain,
% 9.15/7.08 ((~((~v19(constB150)) | (~v22(constB150)))) | (~v19(constB150)) | (~v22(constB150))),
% 9.15/7.08 inference(tautology,[status(thm)],[])).
% 9.15/7.08 tff(36920,plain,
% 9.15/7.08 ((~((~v19(constB150)) | (~v22(constB150)))) | (~v19(constB150))),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36919, 36918])).
% 9.15/7.08 tff(36921,plain,
% 9.15/7.08 (~v19(constB150)),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36920, 36911])).
% 9.15/7.08 tff(36922,plain,
% 9.15/7.08 ((~(v19(constB150) <=> (v20(constB150) | v21(constB150)))) | v19(constB150) | (~(v20(constB150) | v21(constB150)))),
% 9.15/7.08 inference(tautology,[status(thm)],[])).
% 9.15/7.08 tff(36923,plain,
% 9.15/7.08 (~(v20(constB150) | v21(constB150))),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36922, 36921, 36901])).
% 9.15/7.08 tff(36924,plain,
% 9.15/7.08 ((v20(constB150) | v21(constB150)) | (~v21(constB150))),
% 9.15/7.08 inference(tautology,[status(thm)],[])).
% 9.15/7.08 tff(36925,plain,
% 9.15/7.08 (~v21(constB150)),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36924, 36923])).
% 9.15/7.08 tff(36926,plain,
% 9.15/7.08 ((~((~v21(constB150)) <=> v6(constB150))) | v21(constB150) | v6(constB150)),
% 9.15/7.08 inference(tautology,[status(thm)],[])).
% 9.15/7.08 tff(36927,plain,
% 9.15/7.08 (v6(constB150)),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36926, 36925, 36899])).
% 9.15/7.08 tff(36928,plain,
% 9.15/7.08 ((~(v6(constB150) <=> v13(constB150))) | (~v6(constB150)) | v13(constB150)),
% 9.15/7.08 inference(tautology,[status(thm)],[])).
% 9.15/7.08 tff(36929,plain,
% 9.15/7.08 (v13(constB150)),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36928, 36927, 36897])).
% 9.15/7.08 tff(36930,plain,
% 9.15/7.08 ((~(v13(constB150) <=> v9(constB149))) | (~v13(constB150)) | v9(constB149)),
% 9.15/7.08 inference(tautology,[status(thm)],[])).
% 9.15/7.08 tff(36931,plain,
% 9.15/7.08 (v9(constB149)),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36930, 36929, 36895])).
% 9.15/7.08 tff(36932,plain,
% 9.15/7.08 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB149)) <=> v1(constB149))),
% 9.15/7.08 inference(quant_inst,[status(thm)],[])).
% 9.15/7.08 tff(36933,plain,
% 9.15/7.08 ((~v39(constB149)) <=> v1(constB149)),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36932, 129])).
% 9.15/7.08 tff(36934,plain,
% 9.15/7.08 ((~((~v39(constB149)) <=> v1(constB149))) | v39(constB149) | v1(constB149)),
% 9.15/7.08 inference(tautology,[status(thm)],[])).
% 9.15/7.08 tff(36935,plain,
% 9.15/7.08 ((~((~v39(constB149)) <=> v1(constB149))) | v39(constB149)),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36934, 16493])).
% 9.15/7.08 tff(36936,plain,
% 9.15/7.08 (v39(constB149)),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36935, 36933])).
% 9.15/7.08 tff(36937,plain,
% 9.15/7.08 ((~((~v39(constB149)) | (~v9(constB149)))) | (~v39(constB149)) | (~v9(constB149))),
% 9.15/7.08 inference(tautology,[status(thm)],[])).
% 9.15/7.08 tff(36938,plain,
% 9.15/7.08 ((~((~v39(constB149)) | (~v9(constB149)))) | (~v9(constB149))),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36937, 36936])).
% 9.15/7.08 tff(36939,plain,
% 9.15/7.08 (~((~v39(constB149)) | (~v9(constB149)))),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36938, 36931])).
% 9.15/7.08 tff(36940,plain,
% 9.15/7.08 ((~(v197(constB149) <=> (~((~v39(constB149)) | (~v9(constB149)))))) | v197(constB149) | ((~v39(constB149)) | (~v9(constB149)))),
% 9.15/7.08 inference(tautology,[status(thm)],[])).
% 9.15/7.08 tff(36941,plain,
% 9.15/7.08 (v197(constB149)),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36940, 36939, 36891])).
% 9.15/7.08 tff(36942,plain,
% 9.15/7.08 ((v197(constB149) | v26(constB149)) | (~v197(constB149))),
% 9.15/7.08 inference(tautology,[status(thm)],[])).
% 9.15/7.08 tff(36943,plain,
% 9.15/7.08 (v197(constB149) | v26(constB149)),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36942, 36941])).
% 9.15/7.08 tff(36944,plain,
% 9.15/7.08 ((~(v196(constB149) <=> (v197(constB149) | v26(constB149)))) | v196(constB149) | (~(v197(constB149) | v26(constB149)))),
% 9.15/7.08 inference(tautology,[status(thm)],[])).
% 9.15/7.08 tff(36945,plain,
% 9.15/7.08 (v196(constB149)),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36944, 36943, 36889])).
% 9.15/7.08 tff(36946,plain,
% 9.15/7.08 ((~((~v195(constB149)) <=> v196(constB149))) | (~v195(constB149)) | (~v196(constB149))),
% 9.15/7.08 inference(tautology,[status(thm)],[])).
% 9.15/7.08 tff(36947,plain,
% 9.15/7.08 (~v195(constB149)),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36946, 36945, 36887])).
% 9.15/7.08 tff(36948,plain,
% 9.15/7.08 (((~v157(constB149)) | (~v195(constB149))) | v195(constB149)),
% 9.15/7.08 inference(tautology,[status(thm)],[])).
% 9.15/7.08 tff(36949,plain,
% 9.15/7.08 ((~v157(constB149)) | (~v195(constB149))),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36948, 36947])).
% 9.15/7.08 tff(36950,plain,
% 9.15/7.08 ((~(v194(constB149) <=> (~((~v157(constB149)) | (~v195(constB149)))))) | (~v194(constB149)) | (~((~v157(constB149)) | (~v195(constB149))))),
% 9.15/7.08 inference(tautology,[status(thm)],[])).
% 9.15/7.08 tff(36951,plain,
% 9.15/7.08 (~v194(constB149)),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36950, 36949, 36885])).
% 9.15/7.08 tff(36952,plain,
% 9.15/7.08 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB149) <=> (~((~v199(constB149)) | (~v200(constB149)))))),
% 9.15/7.08 inference(quant_inst,[status(thm)],[])).
% 9.15/7.08 tff(36953,plain,
% 9.15/7.08 (v198(constB149) <=> (~((~v199(constB149)) | (~v200(constB149))))),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36952, 96])).
% 9.15/7.08 tff(36954,plain,
% 9.15/7.08 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB149) <=> (~((~v197(constB149)) | (~v201(constB149)))))),
% 9.15/7.08 inference(quant_inst,[status(thm)],[])).
% 9.15/7.08 tff(36955,plain,
% 9.15/7.08 (v200(constB149) <=> (~((~v197(constB149)) | (~v201(constB149))))),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36954, 108])).
% 9.15/7.08 tff(36956,plain,
% 9.15/7.08 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB149) <=> (~((~v159(constB149)) | (~v161(constB149)))))),
% 9.15/7.08 inference(quant_inst,[status(thm)],[])).
% 9.15/7.08 tff(36957,plain,
% 9.15/7.08 (v201(constB149) <=> (~((~v159(constB149)) | (~v161(constB149))))),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36956, 348])).
% 9.15/7.08 tff(36958,plain,
% 9.15/7.08 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB149) <=> v163(constB149))),
% 9.15/7.08 inference(quant_inst,[status(thm)],[])).
% 9.15/7.08 tff(36959,plain,
% 9.15/7.08 (v161(constB149) <=> v163(constB149)),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36958, 357])).
% 9.15/7.08 tff(36960,plain,
% 9.15/7.08 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB149) <=> (v145(constB149) | v167(constB149)))),
% 9.15/7.08 inference(quant_inst,[status(thm)],[])).
% 9.15/7.08 tff(36961,plain,
% 9.15/7.08 (v166(constB149) <=> (v145(constB149) | v167(constB149))),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36960, 369])).
% 9.15/7.08 tff(36962,plain,
% 9.15/7.08 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB149) <=> (v142(constB149) | v168(constB149)))),
% 9.15/7.08 inference(quant_inst,[status(thm)],[])).
% 9.15/7.08 tff(36963,plain,
% 9.15/7.08 (v167(constB149) <=> (v142(constB149) | v168(constB149))),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36962, 381])).
% 9.15/7.08 tff(36964,plain,
% 9.15/7.08 ((v142(constB149) | v168(constB149)) | (~v142(constB149))),
% 9.15/7.08 inference(tautology,[status(thm)],[])).
% 9.15/7.08 tff(36965,plain,
% 9.15/7.08 (v142(constB149) | v168(constB149)),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36964, 29169])).
% 9.15/7.08 tff(36966,plain,
% 9.15/7.08 ((~(v167(constB149) <=> (v142(constB149) | v168(constB149)))) | v167(constB149) | (~(v142(constB149) | v168(constB149)))),
% 9.15/7.08 inference(tautology,[status(thm)],[])).
% 9.15/7.08 tff(36967,plain,
% 9.15/7.08 ((~(v167(constB149) <=> (v142(constB149) | v168(constB149)))) | v167(constB149)),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36966, 36965])).
% 9.15/7.08 tff(36968,plain,
% 9.15/7.08 (v167(constB149)),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36967, 36963])).
% 9.15/7.08 tff(36969,plain,
% 9.15/7.08 ((v145(constB149) | v167(constB149)) | (~v167(constB149))),
% 9.15/7.08 inference(tautology,[status(thm)],[])).
% 9.15/7.08 tff(36970,plain,
% 9.15/7.08 (v145(constB149) | v167(constB149)),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36969, 36968])).
% 9.15/7.08 tff(36971,plain,
% 9.15/7.08 ((~(v166(constB149) <=> (v145(constB149) | v167(constB149)))) | v166(constB149) | (~(v145(constB149) | v167(constB149)))),
% 9.15/7.08 inference(tautology,[status(thm)],[])).
% 9.15/7.08 tff(36972,plain,
% 9.15/7.08 (v166(constB149)),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36971, 36970, 36961])).
% 9.15/7.08 tff(36973,plain,
% 9.15/7.08 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB149)) | (v163(constB149) <=> v170(constB149)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB149)) | (v163(constB149) <=> v170(constB149)))),
% 9.15/7.08 inference(rewrite,[status(thm)],[])).
% 9.15/7.08 tff(36974,plain,
% 9.15/7.08 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB149)) | (v163(constB149) <=> v170(constB149)))),
% 9.15/7.08 inference(quant_inst,[status(thm)],[])).
% 9.15/7.08 tff(36975,plain,
% 9.15/7.08 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB149)) | (v163(constB149) <=> v170(constB149))),
% 9.15/7.08 inference(modus_ponens,[status(thm)],[36974, 36973])).
% 9.15/7.08 tff(36976,plain,
% 9.15/7.08 ((~v166(constB149)) | (v163(constB149) <=> v170(constB149))),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36975, 9851])).
% 9.15/7.08 tff(36977,plain,
% 9.15/7.08 (v163(constB149) <=> v170(constB149)),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36976, 36972])).
% 9.15/7.08 tff(36978,plain,
% 9.15/7.08 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB149) <=> (v142(constB149) | v150(constB149)))),
% 9.15/7.08 inference(quant_inst,[status(thm)],[])).
% 9.15/7.08 tff(36979,plain,
% 9.15/7.08 (v171(constB149) <=> (v142(constB149) | v150(constB149))),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36978, 9866])).
% 9.15/7.08 tff(36980,plain,
% 9.15/7.08 ((v142(constB149) | v150(constB149)) | (~v142(constB149))),
% 9.15/7.08 inference(tautology,[status(thm)],[])).
% 9.15/7.08 tff(36981,plain,
% 9.15/7.08 (v142(constB149) | v150(constB149)),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36980, 29169])).
% 9.15/7.08 tff(36982,plain,
% 9.15/7.08 ((~(v171(constB149) <=> (v142(constB149) | v150(constB149)))) | v171(constB149) | (~(v142(constB149) | v150(constB149)))),
% 9.15/7.08 inference(tautology,[status(thm)],[])).
% 9.15/7.08 tff(36983,plain,
% 9.15/7.08 ((~(v171(constB149) <=> (v142(constB149) | v150(constB149)))) | v171(constB149)),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36982, 36981])).
% 9.15/7.08 tff(36984,plain,
% 9.15/7.08 (v171(constB149)),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36983, 36979])).
% 9.15/7.08 tff(36985,plain,
% 9.15/7.08 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB149)) | (~v171(constB149)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB149)) | (~v171(constB149)))),
% 9.15/7.08 inference(rewrite,[status(thm)],[])).
% 9.15/7.08 tff(36986,plain,
% 9.15/7.08 (((~v171(constB149)) | (~v170(constB149))) <=> ((~v170(constB149)) | (~v171(constB149)))),
% 9.15/7.08 inference(rewrite,[status(thm)],[])).
% 9.15/7.08 tff(36987,plain,
% 9.15/7.08 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB149)) | (~v170(constB149)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB149)) | (~v171(constB149))))),
% 9.15/7.08 inference(monotonicity,[status(thm)],[36986])).
% 9.15/7.08 tff(36988,plain,
% 9.15/7.08 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB149)) | (~v170(constB149)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB149)) | (~v171(constB149)))),
% 9.15/7.08 inference(transitivity,[status(thm)],[36987, 36985])).
% 9.15/7.08 tff(36989,plain,
% 9.15/7.08 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB149)) | (~v170(constB149)))),
% 9.15/7.08 inference(quant_inst,[status(thm)],[])).
% 9.15/7.08 tff(36990,plain,
% 9.15/7.08 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB149)) | (~v171(constB149))),
% 9.15/7.08 inference(modus_ponens,[status(thm)],[36989, 36988])).
% 9.15/7.08 tff(36991,plain,
% 9.15/7.08 (~v170(constB149)),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36990, 9899, 36984])).
% 9.15/7.08 tff(36992,plain,
% 9.15/7.08 ((~(v163(constB149) <=> v170(constB149))) | (~v163(constB149)) | v170(constB149)),
% 9.15/7.08 inference(tautology,[status(thm)],[])).
% 9.15/7.08 tff(36993,plain,
% 9.15/7.08 (~v163(constB149)),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36992, 36991, 36977])).
% 9.15/7.08 tff(36994,plain,
% 9.15/7.08 ((~(v161(constB149) <=> v163(constB149))) | (~v161(constB149)) | v163(constB149)),
% 9.15/7.08 inference(tautology,[status(thm)],[])).
% 9.15/7.08 tff(36995,plain,
% 9.15/7.08 (~v161(constB149)),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36994, 36993, 36959])).
% 9.15/7.08 tff(36996,plain,
% 9.15/7.08 (((~v159(constB149)) | (~v161(constB149))) | v161(constB149)),
% 9.15/7.08 inference(tautology,[status(thm)],[])).
% 9.15/7.08 tff(36997,plain,
% 9.15/7.08 ((~v159(constB149)) | (~v161(constB149))),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36996, 36995])).
% 9.15/7.08 tff(36998,plain,
% 9.15/7.08 ((~(v201(constB149) <=> (~((~v159(constB149)) | (~v161(constB149)))))) | (~v201(constB149)) | (~((~v159(constB149)) | (~v161(constB149))))),
% 9.15/7.08 inference(tautology,[status(thm)],[])).
% 9.15/7.08 tff(36999,plain,
% 9.15/7.08 (~v201(constB149)),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[36998, 36997, 36957])).
% 9.15/7.08 tff(37000,plain,
% 9.15/7.08 (((~v197(constB149)) | (~v201(constB149))) | v201(constB149)),
% 9.15/7.08 inference(tautology,[status(thm)],[])).
% 9.15/7.08 tff(37001,plain,
% 9.15/7.08 ((~v197(constB149)) | (~v201(constB149))),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[37000, 36999])).
% 9.15/7.08 tff(37002,plain,
% 9.15/7.08 ((~(v200(constB149) <=> (~((~v197(constB149)) | (~v201(constB149)))))) | (~v200(constB149)) | (~((~v197(constB149)) | (~v201(constB149))))),
% 9.15/7.08 inference(tautology,[status(thm)],[])).
% 9.15/7.08 tff(37003,plain,
% 9.15/7.08 (~v200(constB149)),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[37002, 37001, 36955])).
% 9.15/7.08 tff(37004,plain,
% 9.15/7.08 (((~v199(constB149)) | (~v200(constB149))) | v200(constB149)),
% 9.15/7.08 inference(tautology,[status(thm)],[])).
% 9.15/7.08 tff(37005,plain,
% 9.15/7.08 ((~v199(constB149)) | (~v200(constB149))),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[37004, 37003])).
% 9.15/7.08 tff(37006,plain,
% 9.15/7.08 ((~(v198(constB149) <=> (~((~v199(constB149)) | (~v200(constB149)))))) | (~v198(constB149)) | (~((~v199(constB149)) | (~v200(constB149))))),
% 9.15/7.08 inference(tautology,[status(thm)],[])).
% 9.15/7.08 tff(37007,plain,
% 9.15/7.08 (~v198(constB149)),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[37006, 37005, 36953])).
% 9.15/7.08 tff(37008,plain,
% 9.15/7.08 ((~(v194(constB149) | v198(constB149))) | v194(constB149) | v198(constB149)),
% 9.15/7.08 inference(tautology,[status(thm)],[])).
% 9.15/7.08 tff(37009,plain,
% 9.15/7.08 (~(v194(constB149) | v198(constB149))),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[37008, 37007, 36951])).
% 9.15/7.08 tff(37010,plain,
% 9.15/7.08 ((~(v191(constB149) <=> (v194(constB149) | v198(constB149)))) | (~v191(constB149)) | (v194(constB149) | v198(constB149))),
% 9.15/7.08 inference(tautology,[status(thm)],[])).
% 9.15/7.08 tff(37011,plain,
% 9.15/7.08 (~v191(constB149)),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[37010, 37009, 36878])).
% 9.15/7.08 tff(37012,plain,
% 9.15/7.08 ((~(v193(constB150) <=> v191(constB149))) | (~v193(constB150)) | v191(constB149)),
% 9.15/7.08 inference(tautology,[status(thm)],[])).
% 9.15/7.08 tff(37013,plain,
% 9.15/7.08 (~v193(constB150)),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[37012, 37011, 36876])).
% 9.15/7.08 tff(37014,plain,
% 9.15/7.08 ((~(v157(constB150) <=> v193(constB150))) | (~v157(constB150)) | v193(constB150)),
% 9.15/7.08 inference(tautology,[status(thm)],[])).
% 9.15/7.08 tff(37015,plain,
% 9.15/7.08 (~v157(constB150)),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[37014, 37013, 36872])).
% 9.15/7.08 tff(37016,plain,
% 9.15/7.08 (((~v157(constB150)) | (~v195(constB150))) | v157(constB150)),
% 9.15/7.08 inference(tautology,[status(thm)],[])).
% 9.15/7.08 tff(37017,plain,
% 9.15/7.08 ((~v157(constB150)) | (~v195(constB150))),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[37016, 37015])).
% 9.15/7.08 tff(37018,plain,
% 9.15/7.08 ((~(v194(constB150) <=> (~((~v157(constB150)) | (~v195(constB150)))))) | (~v194(constB150)) | (~((~v157(constB150)) | (~v195(constB150))))),
% 9.15/7.08 inference(tautology,[status(thm)],[])).
% 9.15/7.08 tff(37019,plain,
% 9.15/7.08 (~v194(constB150)),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[37018, 37017, 36870])).
% 9.15/7.08 tff(37020,plain,
% 9.15/7.08 ((~(v194(constB150) | v198(constB150))) | v194(constB150) | v198(constB150)),
% 9.15/7.08 inference(tautology,[status(thm)],[])).
% 9.15/7.08 tff(37021,plain,
% 9.15/7.08 (~(v194(constB150) | v198(constB150))),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[37020, 37019, 36863])).
% 9.15/7.08 tff(37022,plain,
% 9.15/7.08 ((~(v191(constB150) <=> (v194(constB150) | v198(constB150)))) | (~v191(constB150)) | (v194(constB150) | v198(constB150))),
% 9.15/7.08 inference(tautology,[status(thm)],[])).
% 9.15/7.08 tff(37023,plain,
% 9.15/7.08 (~v191(constB150)),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[37022, 37021, 36838])).
% 9.15/7.08 tff(37024,plain,
% 9.15/7.08 ((~(v193(constB151) <=> v191(constB150))) | (~v193(constB151)) | v191(constB150)),
% 9.15/7.08 inference(tautology,[status(thm)],[])).
% 9.15/7.08 tff(37025,plain,
% 9.15/7.08 (~v193(constB151)),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[37024, 37023, 36836])).
% 9.15/7.08 tff(37026,plain,
% 9.15/7.08 ($false),
% 9.15/7.08 inference(unit_resolution,[status(thm)],[37025, 36832])).
% 9.15/7.08 tff(37027,plain,(~(constB151 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.15/7.08 tff(37028,assumption,(constB113 = VarCurr!0), introduced(assumption)).
% 9.15/7.08 tff(37029,plain,
% 9.15/7.08 (v193(constB113) <=> v193(VarCurr!0)),
% 9.15/7.08 inference(monotonicity,[status(thm)],[37028])).
% 9.15/7.08 tff(37030,plain,
% 9.15/7.08 (v193(VarCurr!0) <=> v193(constB113)),
% 9.15/7.08 inference(symmetry,[status(thm)],[37029])).
% 9.15/7.08 tff(37031,plain,
% 9.15/7.08 (v193(constB113)),
% 9.15/7.08 inference(modus_ponens,[status(thm)],[59, 37030])).
% 9.15/7.08 tff(37032,plain,
% 9.15/7.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB112, constB113)) | (v193(constB113) <=> v191(constB112)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB112, constB113)) | (v193(constB113) <=> v191(constB112)))),
% 9.15/7.08 inference(rewrite,[status(thm)],[])).
% 9.15/7.08 tff(37033,plain,
% 9.15/7.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB112, constB113)) | (v193(constB113) <=> v191(constB112)))),
% 9.15/7.08 inference(quant_inst,[status(thm)],[])).
% 9.15/7.08 tff(37034,plain,
% 9.15/7.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB112, constB113)) | (v193(constB113) <=> v191(constB112))),
% 9.15/7.09 inference(modus_ponens,[status(thm)],[37033, 37032])).
% 9.15/7.09 tff(37035,plain,
% 9.15/7.09 (v193(constB113) <=> v191(constB112)),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37034, 10424, 70])).
% 9.15/7.09 tff(37036,plain,
% 9.15/7.09 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB112) <=> (v194(constB112) | v198(constB112)))),
% 9.15/7.09 inference(quant_inst,[status(thm)],[])).
% 9.15/7.09 tff(37037,plain,
% 9.15/7.09 (v191(constB112) <=> (v194(constB112) | v198(constB112))),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37036, 84])).
% 9.15/7.09 tff(37038,plain,
% 9.15/7.09 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB112) <=> (~((~v199(constB112)) | (~v200(constB112)))))),
% 9.15/7.09 inference(quant_inst,[status(thm)],[])).
% 9.15/7.09 tff(37039,plain,
% 9.15/7.09 (v198(constB112) <=> (~((~v199(constB112)) | (~v200(constB112))))),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37038, 96])).
% 9.15/7.09 tff(37040,plain,
% 9.15/7.09 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB112) <=> (~((~v197(constB112)) | (~v201(constB112)))))),
% 9.15/7.09 inference(quant_inst,[status(thm)],[])).
% 9.15/7.09 tff(37041,plain,
% 9.15/7.09 (v200(constB112) <=> (~((~v197(constB112)) | (~v201(constB112))))),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37040, 108])).
% 9.15/7.09 tff(37042,plain,
% 9.15/7.09 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB112) <=> (~((~v39(constB112)) | (~v9(constB112)))))),
% 9.15/7.09 inference(quant_inst,[status(thm)],[])).
% 9.15/7.09 tff(37043,plain,
% 9.15/7.09 (v197(constB112) <=> (~((~v39(constB112)) | (~v9(constB112))))),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37042, 120])).
% 9.15/7.09 tff(37044,plain,
% 9.15/7.09 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB112)) <=> v1(constB112))),
% 9.15/7.09 inference(quant_inst,[status(thm)],[])).
% 9.15/7.09 tff(37045,plain,
% 9.15/7.09 ((~v39(constB112)) <=> v1(constB112)),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37044, 129])).
% 9.15/7.09 tff(37046,plain,
% 9.15/7.09 ((~((~v39(constB112)) <=> v1(constB112))) | (~v39(constB112)) | (~v1(constB112))),
% 9.15/7.09 inference(tautology,[status(thm)],[])).
% 9.15/7.09 tff(37047,plain,
% 9.15/7.09 ((~((~v39(constB112)) <=> v1(constB112))) | (~v39(constB112))),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37046, 13883])).
% 9.15/7.09 tff(37048,plain,
% 9.15/7.09 (~v39(constB112)),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37047, 37045])).
% 9.15/7.09 tff(37049,plain,
% 9.15/7.09 (((~v39(constB112)) | (~v9(constB112))) | v39(constB112)),
% 9.15/7.09 inference(tautology,[status(thm)],[])).
% 9.15/7.09 tff(37050,plain,
% 9.15/7.09 ((~v39(constB112)) | (~v9(constB112))),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37049, 37048])).
% 9.15/7.09 tff(37051,plain,
% 9.15/7.09 ((~(v197(constB112) <=> (~((~v39(constB112)) | (~v9(constB112)))))) | (~v197(constB112)) | (~((~v39(constB112)) | (~v9(constB112))))),
% 9.15/7.09 inference(tautology,[status(thm)],[])).
% 9.15/7.09 tff(37052,plain,
% 9.15/7.09 ((~(v197(constB112) <=> (~((~v39(constB112)) | (~v9(constB112)))))) | (~v197(constB112))),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37051, 37050])).
% 9.15/7.09 tff(37053,plain,
% 9.15/7.09 (~v197(constB112)),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37052, 37043])).
% 9.15/7.09 tff(37054,plain,
% 9.15/7.09 (((~v197(constB112)) | (~v201(constB112))) | v197(constB112)),
% 9.15/7.09 inference(tautology,[status(thm)],[])).
% 9.15/7.09 tff(37055,plain,
% 9.15/7.09 ((~v197(constB112)) | (~v201(constB112))),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37054, 37053])).
% 9.15/7.09 tff(37056,plain,
% 9.15/7.09 ((~(v200(constB112) <=> (~((~v197(constB112)) | (~v201(constB112)))))) | (~v200(constB112)) | (~((~v197(constB112)) | (~v201(constB112))))),
% 9.15/7.09 inference(tautology,[status(thm)],[])).
% 9.15/7.09 tff(37057,plain,
% 9.15/7.09 ((~(v200(constB112) <=> (~((~v197(constB112)) | (~v201(constB112)))))) | (~v200(constB112))),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37056, 37055])).
% 9.15/7.09 tff(37058,plain,
% 9.15/7.09 (~v200(constB112)),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37057, 37041])).
% 9.15/7.09 tff(37059,plain,
% 9.15/7.09 (((~v199(constB112)) | (~v200(constB112))) | v200(constB112)),
% 9.15/7.09 inference(tautology,[status(thm)],[])).
% 9.15/7.09 tff(37060,plain,
% 9.15/7.09 ((~v199(constB112)) | (~v200(constB112))),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37059, 37058])).
% 9.15/7.09 tff(37061,plain,
% 9.15/7.09 ((~(v198(constB112) <=> (~((~v199(constB112)) | (~v200(constB112)))))) | (~v198(constB112)) | (~((~v199(constB112)) | (~v200(constB112))))),
% 9.15/7.09 inference(tautology,[status(thm)],[])).
% 9.15/7.09 tff(37062,plain,
% 9.15/7.09 (~v198(constB112)),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37061, 37060, 37039])).
% 9.15/7.09 tff(37063,plain,
% 9.15/7.09 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB112) <=> (~((~v157(constB112)) | (~v195(constB112)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB112) <=> (~((~v157(constB112)) | (~v195(constB112))))))),
% 9.15/7.09 inference(rewrite,[status(thm)],[])).
% 9.15/7.09 tff(37064,plain,
% 9.15/7.09 ((v194(constB112) <=> (~((~v195(constB112)) | (~v157(constB112))))) <=> (v194(constB112) <=> (~((~v157(constB112)) | (~v195(constB112)))))),
% 9.15/7.09 inference(rewrite,[status(thm)],[])).
% 9.15/7.09 tff(37065,plain,
% 9.15/7.09 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB112) <=> (~((~v195(constB112)) | (~v157(constB112)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB112) <=> (~((~v157(constB112)) | (~v195(constB112))))))),
% 9.15/7.09 inference(monotonicity,[status(thm)],[37064])).
% 9.15/7.09 tff(37066,plain,
% 9.15/7.09 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB112) <=> (~((~v195(constB112)) | (~v157(constB112)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB112) <=> (~((~v157(constB112)) | (~v195(constB112))))))),
% 9.15/7.09 inference(transitivity,[status(thm)],[37065, 37063])).
% 9.15/7.09 tff(37067,plain,
% 9.15/7.09 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB112) <=> (~((~v195(constB112)) | (~v157(constB112)))))),
% 9.15/7.09 inference(quant_inst,[status(thm)],[])).
% 9.15/7.09 tff(37068,plain,
% 9.15/7.09 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB112) <=> (~((~v157(constB112)) | (~v195(constB112)))))),
% 9.15/7.09 inference(modus_ponens,[status(thm)],[37067, 37066])).
% 9.15/7.09 tff(37069,plain,
% 9.15/7.09 (v194(constB112) <=> (~((~v157(constB112)) | (~v195(constB112))))),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37068, 161])).
% 9.15/7.09 tff(37070,plain,
% 9.15/7.09 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB112) <=> v193(constB112))),
% 9.15/7.09 inference(quant_inst,[status(thm)],[])).
% 9.15/7.09 tff(37071,plain,
% 9.15/7.09 (v157(constB112) <=> v193(constB112)),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37070, 13])).
% 9.15/7.09 tff(37072,plain,
% 9.15/7.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB111, constB112)) | (v193(constB112) <=> v191(constB111)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB111, constB112)) | (v193(constB112) <=> v191(constB111)))),
% 9.15/7.09 inference(rewrite,[status(thm)],[])).
% 9.15/7.09 tff(37073,plain,
% 9.15/7.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB111, constB112)) | (v193(constB112) <=> v191(constB111)))),
% 9.15/7.09 inference(quant_inst,[status(thm)],[])).
% 9.15/7.09 tff(37074,plain,
% 9.15/7.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB111, constB112)) | (v193(constB112) <=> v191(constB111))),
% 9.15/7.09 inference(modus_ponens,[status(thm)],[37073, 37072])).
% 9.15/7.09 tff(37075,plain,
% 9.15/7.09 (v193(constB112) <=> v191(constB111)),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37074, 10460, 70])).
% 9.15/7.09 tff(37076,plain,
% 9.15/7.09 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB111) <=> (v194(constB111) | v198(constB111)))),
% 9.15/7.09 inference(quant_inst,[status(thm)],[])).
% 9.15/7.09 tff(37077,plain,
% 9.15/7.09 (v191(constB111) <=> (v194(constB111) | v198(constB111))),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37076, 84])).
% 9.15/7.09 tff(37078,plain,
% 9.15/7.09 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB111) <=> (~((~v157(constB111)) | (~v195(constB111)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB111) <=> (~((~v157(constB111)) | (~v195(constB111))))))),
% 9.15/7.09 inference(rewrite,[status(thm)],[])).
% 9.15/7.09 tff(37079,plain,
% 9.15/7.09 ((v194(constB111) <=> (~((~v195(constB111)) | (~v157(constB111))))) <=> (v194(constB111) <=> (~((~v157(constB111)) | (~v195(constB111)))))),
% 9.15/7.09 inference(rewrite,[status(thm)],[])).
% 9.15/7.09 tff(37080,plain,
% 9.15/7.09 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB111) <=> (~((~v195(constB111)) | (~v157(constB111)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB111) <=> (~((~v157(constB111)) | (~v195(constB111))))))),
% 9.15/7.09 inference(monotonicity,[status(thm)],[37079])).
% 9.15/7.09 tff(37081,plain,
% 9.15/7.09 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB111) <=> (~((~v195(constB111)) | (~v157(constB111)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB111) <=> (~((~v157(constB111)) | (~v195(constB111))))))),
% 9.15/7.09 inference(transitivity,[status(thm)],[37080, 37078])).
% 9.15/7.09 tff(37082,plain,
% 9.15/7.09 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB111) <=> (~((~v195(constB111)) | (~v157(constB111)))))),
% 9.15/7.09 inference(quant_inst,[status(thm)],[])).
% 9.15/7.09 tff(37083,plain,
% 9.15/7.09 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB111) <=> (~((~v157(constB111)) | (~v195(constB111)))))),
% 9.15/7.09 inference(modus_ponens,[status(thm)],[37082, 37081])).
% 9.15/7.09 tff(37084,plain,
% 9.15/7.09 (v194(constB111) <=> (~((~v157(constB111)) | (~v195(constB111))))),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37083, 161])).
% 9.15/7.09 tff(37085,plain,
% 9.15/7.09 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB111)) <=> v196(constB111))),
% 9.15/7.09 inference(quant_inst,[status(thm)],[])).
% 9.15/7.09 tff(37086,plain,
% 9.15/7.09 ((~v195(constB111)) <=> v196(constB111)),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37085, 193])).
% 9.15/7.09 tff(37087,plain,
% 9.15/7.09 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB111) <=> (v197(constB111) | v26(constB111)))),
% 9.15/7.09 inference(quant_inst,[status(thm)],[])).
% 9.15/7.09 tff(37088,plain,
% 9.15/7.09 (v196(constB111) <=> (v197(constB111) | v26(constB111))),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37087, 202])).
% 9.15/7.09 tff(37089,plain,
% 9.15/7.09 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB111) <=> (~((~v39(constB111)) | (~v9(constB111)))))),
% 9.15/7.09 inference(quant_inst,[status(thm)],[])).
% 9.15/7.09 tff(37090,plain,
% 9.15/7.09 (v197(constB111) <=> (~((~v39(constB111)) | (~v9(constB111))))),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37089, 120])).
% 9.15/7.09 tff(37091,plain,
% 9.15/7.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB111, constB112)) | (v13(constB112) <=> v9(constB111)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB111, constB112)) | (v13(constB112) <=> v9(constB111)))),
% 9.15/7.09 inference(rewrite,[status(thm)],[])).
% 9.15/7.09 tff(37092,plain,
% 9.15/7.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB111, constB112)) | (v13(constB112) <=> v9(constB111)))),
% 9.15/7.09 inference(quant_inst,[status(thm)],[])).
% 9.15/7.09 tff(37093,plain,
% 9.15/7.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB111, constB112)) | (v13(constB112) <=> v9(constB111))),
% 9.15/7.09 inference(modus_ponens,[status(thm)],[37092, 37091])).
% 9.15/7.09 tff(37094,plain,
% 9.15/7.09 (v13(constB112) <=> v9(constB111)),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37093, 10460, 216])).
% 9.15/7.09 tff(37095,plain,
% 9.15/7.09 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB112) <=> v13(constB112))),
% 9.15/7.09 inference(quant_inst,[status(thm)],[])).
% 9.15/7.09 tff(37096,plain,
% 9.15/7.09 (v6(constB112) <=> v13(constB112)),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37095, 230])).
% 9.15/7.09 tff(37097,plain,
% 9.15/7.09 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB112)) <=> v6(constB112))),
% 9.15/7.09 inference(quant_inst,[status(thm)],[])).
% 9.15/7.09 tff(37098,plain,
% 9.15/7.09 ((~v21(constB112)) <=> v6(constB112)),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37097, 239])).
% 9.15/7.09 tff(37099,plain,
% 9.15/7.09 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB112) <=> (v20(constB112) | v21(constB112)))),
% 9.15/7.09 inference(quant_inst,[status(thm)],[])).
% 9.15/7.09 tff(37100,plain,
% 9.15/7.09 (v19(constB112) <=> (v20(constB112) | v21(constB112))),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37099, 248])).
% 9.15/7.09 tff(37101,plain,
% 9.15/7.09 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB112) <=> (~((~v19(constB112)) | (~v22(constB112)))))),
% 9.15/7.09 inference(quant_inst,[status(thm)],[])).
% 9.15/7.09 tff(37102,plain,
% 9.15/7.09 (v18(constB112) <=> (~((~v19(constB112)) | (~v22(constB112))))),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37101, 260])).
% 9.15/7.09 tff(37103,plain,
% 9.15/7.09 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB112)) <=> v18(constB112))),
% 9.15/7.09 inference(quant_inst,[status(thm)],[])).
% 9.15/7.09 tff(37104,plain,
% 9.15/7.09 ((~v4(constB112)) <=> v18(constB112)),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37103, 269])).
% 9.15/7.09 tff(37105,plain,
% 9.15/7.09 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB112)),
% 9.15/7.09 inference(quant_inst,[status(thm)],[])).
% 9.15/7.09 tff(37106,plain,
% 9.15/7.09 (v4(constB112)),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37105, 278])).
% 9.15/7.09 tff(37107,plain,
% 9.15/7.09 ((~((~v4(constB112)) <=> v18(constB112))) | (~v4(constB112)) | (~v18(constB112))),
% 9.15/7.09 inference(tautology,[status(thm)],[])).
% 9.15/7.09 tff(37108,plain,
% 9.15/7.09 (~v18(constB112)),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37107, 37106, 37104])).
% 9.15/7.09 tff(37109,plain,
% 9.15/7.09 ((~(v18(constB112) <=> (~((~v19(constB112)) | (~v22(constB112)))))) | v18(constB112) | ((~v19(constB112)) | (~v22(constB112)))),
% 9.15/7.09 inference(tautology,[status(thm)],[])).
% 9.15/7.09 tff(37110,plain,
% 9.15/7.09 ((~v19(constB112)) | (~v22(constB112))),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37109, 37108, 37102])).
% 9.15/7.09 tff(37111,plain,
% 9.15/7.09 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB112) <=> (v1(constB112) | v6(constB112)))),
% 9.15/7.09 inference(quant_inst,[status(thm)],[])).
% 9.15/7.09 tff(37112,plain,
% 9.15/7.09 (v22(constB112) <=> (v1(constB112) | v6(constB112))),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37111, 291])).
% 9.15/7.09 tff(37113,plain,
% 9.15/7.09 ((v1(constB112) | v6(constB112)) | (~v1(constB112))),
% 9.15/7.09 inference(tautology,[status(thm)],[])).
% 9.15/7.09 tff(37114,plain,
% 9.15/7.09 (v1(constB112) | v6(constB112)),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37113, 13883])).
% 9.15/7.09 tff(37115,plain,
% 9.15/7.09 ((~(v22(constB112) <=> (v1(constB112) | v6(constB112)))) | v22(constB112) | (~(v1(constB112) | v6(constB112)))),
% 9.15/7.09 inference(tautology,[status(thm)],[])).
% 9.15/7.09 tff(37116,plain,
% 9.15/7.09 ((~(v22(constB112) <=> (v1(constB112) | v6(constB112)))) | v22(constB112)),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37115, 37114])).
% 9.15/7.09 tff(37117,plain,
% 9.15/7.09 (v22(constB112)),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37116, 37112])).
% 9.15/7.09 tff(37118,plain,
% 9.15/7.09 ((~((~v19(constB112)) | (~v22(constB112)))) | (~v19(constB112)) | (~v22(constB112))),
% 9.15/7.09 inference(tautology,[status(thm)],[])).
% 9.15/7.09 tff(37119,plain,
% 9.15/7.09 ((~((~v19(constB112)) | (~v22(constB112)))) | (~v19(constB112))),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37118, 37117])).
% 9.15/7.09 tff(37120,plain,
% 9.15/7.09 (~v19(constB112)),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37119, 37110])).
% 9.15/7.09 tff(37121,plain,
% 9.15/7.09 ((~(v19(constB112) <=> (v20(constB112) | v21(constB112)))) | v19(constB112) | (~(v20(constB112) | v21(constB112)))),
% 9.15/7.09 inference(tautology,[status(thm)],[])).
% 9.15/7.09 tff(37122,plain,
% 9.15/7.09 (~(v20(constB112) | v21(constB112))),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37121, 37120, 37100])).
% 9.15/7.09 tff(37123,plain,
% 9.15/7.09 ((v20(constB112) | v21(constB112)) | (~v21(constB112))),
% 9.15/7.09 inference(tautology,[status(thm)],[])).
% 9.15/7.09 tff(37124,plain,
% 9.15/7.09 (~v21(constB112)),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37123, 37122])).
% 9.15/7.09 tff(37125,plain,
% 9.15/7.09 ((~((~v21(constB112)) <=> v6(constB112))) | v21(constB112) | v6(constB112)),
% 9.15/7.09 inference(tautology,[status(thm)],[])).
% 9.15/7.09 tff(37126,plain,
% 9.15/7.09 (v6(constB112)),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37125, 37124, 37098])).
% 9.15/7.09 tff(37127,plain,
% 9.15/7.09 ((~(v6(constB112) <=> v13(constB112))) | (~v6(constB112)) | v13(constB112)),
% 9.15/7.09 inference(tautology,[status(thm)],[])).
% 9.15/7.09 tff(37128,plain,
% 9.15/7.09 (v13(constB112)),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37127, 37126, 37096])).
% 9.15/7.09 tff(37129,plain,
% 9.15/7.09 ((~(v13(constB112) <=> v9(constB111))) | (~v13(constB112)) | v9(constB111)),
% 9.15/7.09 inference(tautology,[status(thm)],[])).
% 9.15/7.09 tff(37130,plain,
% 9.15/7.09 (v9(constB111)),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37129, 37128, 37094])).
% 9.15/7.09 tff(37131,plain,
% 9.15/7.09 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB111)) <=> v1(constB111))),
% 9.15/7.09 inference(quant_inst,[status(thm)],[])).
% 9.15/7.09 tff(37132,plain,
% 9.15/7.09 ((~v39(constB111)) <=> v1(constB111)),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37131, 129])).
% 9.15/7.09 tff(37133,plain,
% 9.15/7.09 ((~((~v39(constB111)) <=> v1(constB111))) | v39(constB111) | v1(constB111)),
% 9.15/7.09 inference(tautology,[status(thm)],[])).
% 9.15/7.09 tff(37134,plain,
% 9.15/7.09 ((~((~v39(constB111)) <=> v1(constB111))) | v39(constB111)),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37133, 10504])).
% 9.15/7.09 tff(37135,plain,
% 9.15/7.09 (v39(constB111)),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37134, 37132])).
% 9.15/7.09 tff(37136,plain,
% 9.15/7.09 ((~((~v39(constB111)) | (~v9(constB111)))) | (~v39(constB111)) | (~v9(constB111))),
% 9.15/7.09 inference(tautology,[status(thm)],[])).
% 9.15/7.09 tff(37137,plain,
% 9.15/7.09 ((~((~v39(constB111)) | (~v9(constB111)))) | (~v9(constB111))),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37136, 37135])).
% 9.15/7.09 tff(37138,plain,
% 9.15/7.09 (~((~v39(constB111)) | (~v9(constB111)))),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37137, 37130])).
% 9.15/7.09 tff(37139,plain,
% 9.15/7.09 ((~(v197(constB111) <=> (~((~v39(constB111)) | (~v9(constB111)))))) | v197(constB111) | ((~v39(constB111)) | (~v9(constB111)))),
% 9.15/7.09 inference(tautology,[status(thm)],[])).
% 9.15/7.09 tff(37140,plain,
% 9.15/7.09 (v197(constB111)),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37139, 37138, 37090])).
% 9.15/7.09 tff(37141,plain,
% 9.15/7.09 ((v197(constB111) | v26(constB111)) | (~v197(constB111))),
% 9.15/7.09 inference(tautology,[status(thm)],[])).
% 9.15/7.09 tff(37142,plain,
% 9.15/7.09 (v197(constB111) | v26(constB111)),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37141, 37140])).
% 9.15/7.09 tff(37143,plain,
% 9.15/7.09 ((~(v196(constB111) <=> (v197(constB111) | v26(constB111)))) | v196(constB111) | (~(v197(constB111) | v26(constB111)))),
% 9.15/7.09 inference(tautology,[status(thm)],[])).
% 9.15/7.09 tff(37144,plain,
% 9.15/7.09 (v196(constB111)),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37143, 37142, 37088])).
% 9.15/7.09 tff(37145,plain,
% 9.15/7.09 ((~((~v195(constB111)) <=> v196(constB111))) | (~v195(constB111)) | (~v196(constB111))),
% 9.15/7.09 inference(tautology,[status(thm)],[])).
% 9.15/7.09 tff(37146,plain,
% 9.15/7.09 (~v195(constB111)),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37145, 37144, 37086])).
% 9.15/7.09 tff(37147,plain,
% 9.15/7.09 (((~v157(constB111)) | (~v195(constB111))) | v195(constB111)),
% 9.15/7.09 inference(tautology,[status(thm)],[])).
% 9.15/7.09 tff(37148,plain,
% 9.15/7.09 ((~v157(constB111)) | (~v195(constB111))),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37147, 37146])).
% 9.15/7.09 tff(37149,plain,
% 9.15/7.09 ((~(v194(constB111) <=> (~((~v157(constB111)) | (~v195(constB111)))))) | (~v194(constB111)) | (~((~v157(constB111)) | (~v195(constB111))))),
% 9.15/7.09 inference(tautology,[status(thm)],[])).
% 9.15/7.09 tff(37150,plain,
% 9.15/7.09 (~v194(constB111)),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37149, 37148, 37084])).
% 9.15/7.09 tff(37151,plain,
% 9.15/7.09 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB111) <=> (~((~v199(constB111)) | (~v200(constB111)))))),
% 9.15/7.09 inference(quant_inst,[status(thm)],[])).
% 9.15/7.09 tff(37152,plain,
% 9.15/7.09 (v198(constB111) <=> (~((~v199(constB111)) | (~v200(constB111))))),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37151, 96])).
% 9.15/7.09 tff(37153,plain,
% 9.15/7.09 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB111) <=> (~((~v197(constB111)) | (~v201(constB111)))))),
% 9.15/7.09 inference(quant_inst,[status(thm)],[])).
% 9.15/7.09 tff(37154,plain,
% 9.15/7.09 (v200(constB111) <=> (~((~v197(constB111)) | (~v201(constB111))))),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37153, 108])).
% 9.15/7.09 tff(37155,plain,
% 9.15/7.09 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB111) <=> (~((~v159(constB111)) | (~v161(constB111)))))),
% 9.15/7.09 inference(quant_inst,[status(thm)],[])).
% 9.15/7.09 tff(37156,plain,
% 9.15/7.09 (v201(constB111) <=> (~((~v159(constB111)) | (~v161(constB111))))),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37155, 348])).
% 9.15/7.09 tff(37157,plain,
% 9.15/7.09 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB111) <=> v163(constB111))),
% 9.15/7.09 inference(quant_inst,[status(thm)],[])).
% 9.15/7.09 tff(37158,plain,
% 9.15/7.09 (v161(constB111) <=> v163(constB111)),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37157, 357])).
% 9.15/7.09 tff(37159,plain,
% 9.15/7.09 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB111) <=> (v145(constB111) | v167(constB111)))),
% 9.15/7.09 inference(quant_inst,[status(thm)],[])).
% 9.15/7.09 tff(37160,plain,
% 9.15/7.09 (v166(constB111) <=> (v145(constB111) | v167(constB111))),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37159, 369])).
% 9.15/7.09 tff(37161,plain,
% 9.15/7.09 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB111) <=> (v142(constB111) | v168(constB111)))),
% 9.15/7.09 inference(quant_inst,[status(thm)],[])).
% 9.15/7.09 tff(37162,plain,
% 9.15/7.09 (v167(constB111) <=> (v142(constB111) | v168(constB111))),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37161, 381])).
% 9.15/7.09 tff(37163,plain,
% 9.15/7.09 ((~![VarCurr: $i] : (v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr)))) | (v168(constB111) <=> (v141(constB111) | v169(constB111)))),
% 9.15/7.09 inference(quant_inst,[status(thm)],[])).
% 9.15/7.09 tff(37164,plain,
% 9.15/7.09 (v168(constB111) <=> (v141(constB111) | v169(constB111))),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37163, 393])).
% 9.15/7.09 tff(37165,plain,
% 9.15/7.09 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB111) <=> (~((~v88(constB111, bitIndex1)) | v88(constB111, bitIndex2) | (~v88(constB111, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB111) <=> (~((~v88(constB111, bitIndex1)) | v88(constB111, bitIndex2) | (~v88(constB111, bitIndex0))))))),
% 9.15/7.09 inference(rewrite,[status(thm)],[])).
% 9.15/7.09 tff(37166,plain,
% 9.15/7.09 ((v141(constB111) <=> (~(v88(constB111, bitIndex2) | (~v88(constB111, bitIndex1)) | (~v88(constB111, bitIndex0))))) <=> (v141(constB111) <=> (~((~v88(constB111, bitIndex1)) | v88(constB111, bitIndex2) | (~v88(constB111, bitIndex0)))))),
% 9.15/7.09 inference(rewrite,[status(thm)],[])).
% 9.15/7.09 tff(37167,plain,
% 9.15/7.09 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB111) <=> (~(v88(constB111, bitIndex2) | (~v88(constB111, bitIndex1)) | (~v88(constB111, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB111) <=> (~((~v88(constB111, bitIndex1)) | v88(constB111, bitIndex2) | (~v88(constB111, bitIndex0))))))),
% 9.15/7.09 inference(monotonicity,[status(thm)],[37166])).
% 9.15/7.09 tff(37168,plain,
% 9.15/7.09 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB111) <=> (~(v88(constB111, bitIndex2) | (~v88(constB111, bitIndex1)) | (~v88(constB111, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB111) <=> (~((~v88(constB111, bitIndex1)) | v88(constB111, bitIndex2) | (~v88(constB111, bitIndex0))))))),
% 9.15/7.09 inference(transitivity,[status(thm)],[37167, 37165])).
% 9.15/7.09 tff(37169,plain,
% 9.15/7.09 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB111) <=> (~(v88(constB111, bitIndex2) | (~v88(constB111, bitIndex1)) | (~v88(constB111, bitIndex0)))))),
% 9.15/7.09 inference(quant_inst,[status(thm)],[])).
% 9.15/7.09 tff(37170,plain,
% 9.15/7.09 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB111) <=> (~((~v88(constB111, bitIndex1)) | v88(constB111, bitIndex2) | (~v88(constB111, bitIndex0)))))),
% 9.15/7.09 inference(modus_ponens,[status(thm)],[37169, 37168])).
% 9.15/7.09 tff(37171,plain,
% 9.15/7.09 (v141(constB111) <=> (~((~v88(constB111, bitIndex1)) | v88(constB111, bitIndex2) | (~v88(constB111, bitIndex0))))),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37170, 408])).
% 9.15/7.09 tff(37172,plain,
% 9.15/7.09 ((~![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))) | (~(((~v88(constB111, bitIndex1)) <=> v90(constB111, bitIndex1)) | ((~v88(constB111, bitIndex2)) <=> v90(constB111, bitIndex2)) | ((~v88(constB111, bitIndex0)) <=> v90(constB111, bitIndex0))))),
% 9.15/7.09 inference(quant_inst,[status(thm)],[])).
% 9.15/7.09 tff(37173,plain,
% 9.15/7.09 (~(((~v88(constB111, bitIndex1)) <=> v90(constB111, bitIndex1)) | ((~v88(constB111, bitIndex2)) <=> v90(constB111, bitIndex2)) | ((~v88(constB111, bitIndex0)) <=> v90(constB111, bitIndex0)))),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37172, 428])).
% 9.15/7.09 tff(37174,plain,
% 9.15/7.09 ((((~v88(constB111, bitIndex1)) <=> v90(constB111, bitIndex1)) | ((~v88(constB111, bitIndex2)) <=> v90(constB111, bitIndex2)) | ((~v88(constB111, bitIndex0)) <=> v90(constB111, bitIndex0))) | (~((~v88(constB111, bitIndex2)) <=> v90(constB111, bitIndex2)))),
% 9.15/7.09 inference(tautology,[status(thm)],[])).
% 9.15/7.09 tff(37175,plain,
% 9.15/7.09 (~((~v88(constB111, bitIndex2)) <=> v90(constB111, bitIndex2))),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37174, 37173])).
% 9.15/7.09 tff(37176,plain,
% 9.15/7.09 (((~v88(constB111, bitIndex2)) <=> v90(constB111, bitIndex2)) | (~v88(constB111, bitIndex2)) | v90(constB111, bitIndex2)),
% 9.15/7.09 inference(tautology,[status(thm)],[])).
% 9.15/7.09 tff(37177,plain,
% 9.15/7.09 (~v88(constB111, bitIndex2)),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37176, 13802, 37175])).
% 9.15/7.09 tff(37178,plain,
% 9.15/7.09 ((((~v88(constB111, bitIndex1)) <=> v90(constB111, bitIndex1)) | ((~v88(constB111, bitIndex2)) <=> v90(constB111, bitIndex2)) | ((~v88(constB111, bitIndex0)) <=> v90(constB111, bitIndex0))) | (~((~v88(constB111, bitIndex0)) <=> v90(constB111, bitIndex0)))),
% 9.15/7.09 inference(tautology,[status(thm)],[])).
% 9.15/7.09 tff(37179,plain,
% 9.15/7.09 (~((~v88(constB111, bitIndex0)) <=> v90(constB111, bitIndex0))),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37178, 37173])).
% 9.15/7.09 tff(37180,plain,
% 9.15/7.09 (((~v88(constB111, bitIndex0)) <=> v90(constB111, bitIndex0)) | v88(constB111, bitIndex0) | (~v90(constB111, bitIndex0))),
% 9.15/7.09 inference(tautology,[status(thm)],[])).
% 9.15/7.09 tff(37181,plain,
% 9.15/7.09 (v88(constB111, bitIndex0)),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37180, 13820, 37179])).
% 9.15/7.09 tff(37182,plain,
% 9.15/7.09 ((((~v88(constB111, bitIndex1)) <=> v90(constB111, bitIndex1)) | ((~v88(constB111, bitIndex2)) <=> v90(constB111, bitIndex2)) | ((~v88(constB111, bitIndex0)) <=> v90(constB111, bitIndex0))) | (~((~v88(constB111, bitIndex1)) <=> v90(constB111, bitIndex1)))),
% 9.15/7.09 inference(tautology,[status(thm)],[])).
% 9.15/7.09 tff(37183,plain,
% 9.15/7.09 (~((~v88(constB111, bitIndex1)) <=> v90(constB111, bitIndex1))),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37182, 37173])).
% 9.15/7.09 tff(37184,plain,
% 9.15/7.09 (((~v88(constB111, bitIndex1)) <=> v90(constB111, bitIndex1)) | v88(constB111, bitIndex1) | (~v90(constB111, bitIndex1))),
% 9.15/7.09 inference(tautology,[status(thm)],[])).
% 9.15/7.09 tff(37185,plain,
% 9.15/7.09 (v88(constB111, bitIndex1)),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37184, 13838, 37183])).
% 9.15/7.09 tff(37186,plain,
% 9.15/7.09 ((~((~v88(constB111, bitIndex1)) | v88(constB111, bitIndex2) | (~v88(constB111, bitIndex0)))) | (~v88(constB111, bitIndex1)) | v88(constB111, bitIndex2) | (~v88(constB111, bitIndex0))),
% 9.15/7.09 inference(tautology,[status(thm)],[])).
% 9.15/7.09 tff(37187,plain,
% 9.15/7.09 (~((~v88(constB111, bitIndex1)) | v88(constB111, bitIndex2) | (~v88(constB111, bitIndex0)))),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37186, 37185, 37181, 37177])).
% 9.15/7.09 tff(37188,plain,
% 9.15/7.09 ((~(v141(constB111) <=> (~((~v88(constB111, bitIndex1)) | v88(constB111, bitIndex2) | (~v88(constB111, bitIndex0)))))) | v141(constB111) | ((~v88(constB111, bitIndex1)) | v88(constB111, bitIndex2) | (~v88(constB111, bitIndex0)))),
% 9.15/7.09 inference(tautology,[status(thm)],[])).
% 9.15/7.09 tff(37189,plain,
% 9.15/7.09 (v141(constB111)),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37188, 37187, 37171])).
% 9.15/7.09 tff(37190,plain,
% 9.15/7.09 ((v141(constB111) | v169(constB111)) | (~v141(constB111))),
% 9.15/7.09 inference(tautology,[status(thm)],[])).
% 9.15/7.09 tff(37191,plain,
% 9.15/7.09 (v141(constB111) | v169(constB111)),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37190, 37189])).
% 9.15/7.09 tff(37192,plain,
% 9.15/7.09 ((~(v168(constB111) <=> (v141(constB111) | v169(constB111)))) | v168(constB111) | (~(v141(constB111) | v169(constB111)))),
% 9.15/7.09 inference(tautology,[status(thm)],[])).
% 9.15/7.09 tff(37193,plain,
% 9.15/7.09 (v168(constB111)),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37192, 37191, 37164])).
% 9.15/7.09 tff(37194,plain,
% 9.15/7.09 ((v142(constB111) | v168(constB111)) | (~v168(constB111))),
% 9.15/7.09 inference(tautology,[status(thm)],[])).
% 9.15/7.09 tff(37195,plain,
% 9.15/7.09 (v142(constB111) | v168(constB111)),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37194, 37193])).
% 9.15/7.09 tff(37196,plain,
% 9.15/7.09 ((~(v167(constB111) <=> (v142(constB111) | v168(constB111)))) | v167(constB111) | (~(v142(constB111) | v168(constB111)))),
% 9.15/7.09 inference(tautology,[status(thm)],[])).
% 9.15/7.09 tff(37197,plain,
% 9.15/7.09 ((~(v167(constB111) <=> (v142(constB111) | v168(constB111)))) | v167(constB111)),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37196, 37195])).
% 9.15/7.09 tff(37198,plain,
% 9.15/7.09 (v167(constB111)),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37197, 37162])).
% 9.15/7.09 tff(37199,plain,
% 9.15/7.09 ((v145(constB111) | v167(constB111)) | (~v167(constB111))),
% 9.15/7.09 inference(tautology,[status(thm)],[])).
% 9.15/7.09 tff(37200,plain,
% 9.15/7.09 (v145(constB111) | v167(constB111)),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37199, 37198])).
% 9.15/7.09 tff(37201,plain,
% 9.15/7.09 ((~(v166(constB111) <=> (v145(constB111) | v167(constB111)))) | v166(constB111) | (~(v145(constB111) | v167(constB111)))),
% 9.15/7.09 inference(tautology,[status(thm)],[])).
% 9.15/7.09 tff(37202,plain,
% 9.15/7.09 (v166(constB111)),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37201, 37200, 37160])).
% 9.15/7.09 tff(37203,plain,
% 9.15/7.09 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB111)) | (v163(constB111) <=> v170(constB111)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB111)) | (v163(constB111) <=> v170(constB111)))),
% 9.15/7.09 inference(rewrite,[status(thm)],[])).
% 9.15/7.09 tff(37204,plain,
% 9.15/7.09 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB111)) | (v163(constB111) <=> v170(constB111)))),
% 9.15/7.09 inference(quant_inst,[status(thm)],[])).
% 9.15/7.09 tff(37205,plain,
% 9.15/7.09 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB111)) | (v163(constB111) <=> v170(constB111))),
% 9.15/7.09 inference(modus_ponens,[status(thm)],[37204, 37203])).
% 9.15/7.09 tff(37206,plain,
% 9.15/7.09 ((~v166(constB111)) | (v163(constB111) <=> v170(constB111))),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37205, 9851])).
% 9.15/7.09 tff(37207,plain,
% 9.15/7.09 (v163(constB111) <=> v170(constB111)),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37206, 37202])).
% 9.15/7.09 tff(37208,plain,
% 9.15/7.09 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB111) <=> (v142(constB111) | v150(constB111)))),
% 9.15/7.09 inference(quant_inst,[status(thm)],[])).
% 9.15/7.09 tff(37209,plain,
% 9.15/7.09 (v171(constB111) <=> (v142(constB111) | v150(constB111))),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37208, 9866])).
% 9.15/7.09 tff(37210,plain,
% 9.15/7.09 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v141(VarCurr) | v151(VarCurr)))) | (v150(constB111) <=> (v141(constB111) | v151(constB111)))),
% 9.15/7.09 inference(quant_inst,[status(thm)],[])).
% 9.15/7.09 tff(37211,plain,
% 9.15/7.09 (v150(constB111) <=> (v141(constB111) | v151(constB111))),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37210, 9878])).
% 9.15/7.09 tff(37212,plain,
% 9.15/7.09 ((v141(constB111) | v151(constB111)) | (~v141(constB111))),
% 9.15/7.09 inference(tautology,[status(thm)],[])).
% 9.15/7.09 tff(37213,plain,
% 9.15/7.09 (v141(constB111) | v151(constB111)),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37212, 37189])).
% 9.15/7.09 tff(37214,plain,
% 9.15/7.09 ((~(v150(constB111) <=> (v141(constB111) | v151(constB111)))) | v150(constB111) | (~(v141(constB111) | v151(constB111)))),
% 9.15/7.09 inference(tautology,[status(thm)],[])).
% 9.15/7.09 tff(37215,plain,
% 9.15/7.09 (v150(constB111)),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37214, 37213, 37211])).
% 9.15/7.09 tff(37216,plain,
% 9.15/7.09 ((v142(constB111) | v150(constB111)) | (~v150(constB111))),
% 9.15/7.09 inference(tautology,[status(thm)],[])).
% 9.15/7.09 tff(37217,plain,
% 9.15/7.09 (v142(constB111) | v150(constB111)),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37216, 37215])).
% 9.15/7.09 tff(37218,plain,
% 9.15/7.09 ((~(v171(constB111) <=> (v142(constB111) | v150(constB111)))) | v171(constB111) | (~(v142(constB111) | v150(constB111)))),
% 9.15/7.09 inference(tautology,[status(thm)],[])).
% 9.15/7.09 tff(37219,plain,
% 9.15/7.09 ((~(v171(constB111) <=> (v142(constB111) | v150(constB111)))) | v171(constB111)),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37218, 37217])).
% 9.15/7.09 tff(37220,plain,
% 9.15/7.09 (v171(constB111)),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37219, 37209])).
% 9.15/7.09 tff(37221,plain,
% 9.15/7.09 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB111)) | (~v171(constB111)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB111)) | (~v171(constB111)))),
% 9.15/7.09 inference(rewrite,[status(thm)],[])).
% 9.15/7.09 tff(37222,plain,
% 9.15/7.09 (((~v171(constB111)) | (~v170(constB111))) <=> ((~v170(constB111)) | (~v171(constB111)))),
% 9.15/7.09 inference(rewrite,[status(thm)],[])).
% 9.15/7.09 tff(37223,plain,
% 9.15/7.09 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB111)) | (~v170(constB111)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB111)) | (~v171(constB111))))),
% 9.15/7.09 inference(monotonicity,[status(thm)],[37222])).
% 9.15/7.09 tff(37224,plain,
% 9.15/7.09 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB111)) | (~v170(constB111)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB111)) | (~v171(constB111)))),
% 9.15/7.09 inference(transitivity,[status(thm)],[37223, 37221])).
% 9.15/7.09 tff(37225,plain,
% 9.15/7.09 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB111)) | (~v170(constB111)))),
% 9.15/7.09 inference(quant_inst,[status(thm)],[])).
% 9.15/7.09 tff(37226,plain,
% 9.15/7.09 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB111)) | (~v171(constB111))),
% 9.15/7.09 inference(modus_ponens,[status(thm)],[37225, 37224])).
% 9.15/7.09 tff(37227,plain,
% 9.15/7.09 (~v170(constB111)),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37226, 9899, 37220])).
% 9.15/7.09 tff(37228,plain,
% 9.15/7.09 ((~(v163(constB111) <=> v170(constB111))) | (~v163(constB111)) | v170(constB111)),
% 9.15/7.09 inference(tautology,[status(thm)],[])).
% 9.15/7.09 tff(37229,plain,
% 9.15/7.09 (~v163(constB111)),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37228, 37227, 37207])).
% 9.15/7.09 tff(37230,plain,
% 9.15/7.09 ((~(v161(constB111) <=> v163(constB111))) | (~v161(constB111)) | v163(constB111)),
% 9.15/7.09 inference(tautology,[status(thm)],[])).
% 9.15/7.09 tff(37231,plain,
% 9.15/7.09 (~v161(constB111)),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37230, 37229, 37158])).
% 9.15/7.09 tff(37232,plain,
% 9.15/7.09 (((~v159(constB111)) | (~v161(constB111))) | v161(constB111)),
% 9.15/7.09 inference(tautology,[status(thm)],[])).
% 9.15/7.09 tff(37233,plain,
% 9.15/7.09 ((~v159(constB111)) | (~v161(constB111))),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37232, 37231])).
% 9.15/7.09 tff(37234,plain,
% 9.15/7.09 ((~(v201(constB111) <=> (~((~v159(constB111)) | (~v161(constB111)))))) | (~v201(constB111)) | (~((~v159(constB111)) | (~v161(constB111))))),
% 9.15/7.09 inference(tautology,[status(thm)],[])).
% 9.15/7.09 tff(37235,plain,
% 9.15/7.09 (~v201(constB111)),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37234, 37233, 37156])).
% 9.15/7.09 tff(37236,plain,
% 9.15/7.09 (((~v197(constB111)) | (~v201(constB111))) | v201(constB111)),
% 9.15/7.09 inference(tautology,[status(thm)],[])).
% 9.15/7.09 tff(37237,plain,
% 9.15/7.09 ((~v197(constB111)) | (~v201(constB111))),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37236, 37235])).
% 9.15/7.09 tff(37238,plain,
% 9.15/7.09 ((~(v200(constB111) <=> (~((~v197(constB111)) | (~v201(constB111)))))) | (~v200(constB111)) | (~((~v197(constB111)) | (~v201(constB111))))),
% 9.15/7.09 inference(tautology,[status(thm)],[])).
% 9.15/7.09 tff(37239,plain,
% 9.15/7.09 (~v200(constB111)),
% 9.15/7.09 inference(unit_resolution,[status(thm)],[37238, 37237, 37154])).
% 9.15/7.10 tff(37240,plain,
% 9.15/7.10 (((~v199(constB111)) | (~v200(constB111))) | v200(constB111)),
% 9.15/7.10 inference(tautology,[status(thm)],[])).
% 9.15/7.10 tff(37241,plain,
% 9.15/7.10 ((~v199(constB111)) | (~v200(constB111))),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37240, 37239])).
% 9.15/7.10 tff(37242,plain,
% 9.15/7.10 ((~(v198(constB111) <=> (~((~v199(constB111)) | (~v200(constB111)))))) | (~v198(constB111)) | (~((~v199(constB111)) | (~v200(constB111))))),
% 9.15/7.10 inference(tautology,[status(thm)],[])).
% 9.15/7.10 tff(37243,plain,
% 9.15/7.10 (~v198(constB111)),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37242, 37241, 37152])).
% 9.15/7.10 tff(37244,plain,
% 9.15/7.10 ((~(v194(constB111) | v198(constB111))) | v194(constB111) | v198(constB111)),
% 9.15/7.10 inference(tautology,[status(thm)],[])).
% 9.15/7.10 tff(37245,plain,
% 9.15/7.10 (~(v194(constB111) | v198(constB111))),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37244, 37243, 37150])).
% 9.15/7.10 tff(37246,plain,
% 9.15/7.10 ((~(v191(constB111) <=> (v194(constB111) | v198(constB111)))) | (~v191(constB111)) | (v194(constB111) | v198(constB111))),
% 9.15/7.10 inference(tautology,[status(thm)],[])).
% 9.15/7.10 tff(37247,plain,
% 9.15/7.10 (~v191(constB111)),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37246, 37245, 37077])).
% 9.15/7.10 tff(37248,plain,
% 9.15/7.10 ((~(v193(constB112) <=> v191(constB111))) | (~v193(constB112)) | v191(constB111)),
% 9.15/7.10 inference(tautology,[status(thm)],[])).
% 9.15/7.10 tff(37249,plain,
% 9.15/7.10 (~v193(constB112)),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37248, 37247, 37075])).
% 9.15/7.10 tff(37250,plain,
% 9.15/7.10 ((~(v157(constB112) <=> v193(constB112))) | (~v157(constB112)) | v193(constB112)),
% 9.15/7.10 inference(tautology,[status(thm)],[])).
% 9.15/7.10 tff(37251,plain,
% 9.15/7.10 (~v157(constB112)),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37250, 37249, 37071])).
% 9.15/7.10 tff(37252,plain,
% 9.15/7.10 (((~v157(constB112)) | (~v195(constB112))) | v157(constB112)),
% 9.15/7.10 inference(tautology,[status(thm)],[])).
% 9.15/7.10 tff(37253,plain,
% 9.15/7.10 ((~v157(constB112)) | (~v195(constB112))),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37252, 37251])).
% 9.15/7.10 tff(37254,plain,
% 9.15/7.10 ((~(v194(constB112) <=> (~((~v157(constB112)) | (~v195(constB112)))))) | (~v194(constB112)) | (~((~v157(constB112)) | (~v195(constB112))))),
% 9.15/7.10 inference(tautology,[status(thm)],[])).
% 9.15/7.10 tff(37255,plain,
% 9.15/7.10 (~v194(constB112)),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37254, 37253, 37069])).
% 9.15/7.10 tff(37256,plain,
% 9.15/7.10 ((~(v194(constB112) | v198(constB112))) | v194(constB112) | v198(constB112)),
% 9.15/7.10 inference(tautology,[status(thm)],[])).
% 9.15/7.10 tff(37257,plain,
% 9.15/7.10 (~(v194(constB112) | v198(constB112))),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37256, 37255, 37062])).
% 9.15/7.10 tff(37258,plain,
% 9.15/7.10 ((~(v191(constB112) <=> (v194(constB112) | v198(constB112)))) | (~v191(constB112)) | (v194(constB112) | v198(constB112))),
% 9.15/7.10 inference(tautology,[status(thm)],[])).
% 9.15/7.10 tff(37259,plain,
% 9.15/7.10 (~v191(constB112)),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37258, 37257, 37037])).
% 9.15/7.10 tff(37260,plain,
% 9.15/7.10 ((~(v193(constB113) <=> v191(constB112))) | (~v193(constB113)) | v191(constB112)),
% 9.15/7.10 inference(tautology,[status(thm)],[])).
% 9.15/7.10 tff(37261,plain,
% 9.15/7.10 (~v193(constB113)),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37260, 37259, 37035])).
% 9.15/7.10 tff(37262,plain,
% 9.15/7.10 ($false),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37261, 37031])).
% 9.15/7.10 tff(37263,plain,(~(constB113 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.15/7.10 tff(37264,assumption,(constB153 = VarCurr!0), introduced(assumption)).
% 9.15/7.10 tff(37265,plain,
% 9.15/7.10 (v193(constB153) <=> v193(VarCurr!0)),
% 9.15/7.10 inference(monotonicity,[status(thm)],[37264])).
% 9.15/7.10 tff(37266,plain,
% 9.15/7.10 (v193(VarCurr!0) <=> v193(constB153)),
% 9.15/7.10 inference(symmetry,[status(thm)],[37265])).
% 9.15/7.10 tff(37267,plain,
% 9.15/7.10 (v193(constB153)),
% 9.15/7.10 inference(modus_ponens,[status(thm)],[59, 37266])).
% 9.15/7.10 tff(37268,plain,
% 9.15/7.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB152, constB153)) | (v193(constB153) <=> v191(constB152)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB152, constB153)) | (v193(constB153) <=> v191(constB152)))),
% 9.15/7.10 inference(rewrite,[status(thm)],[])).
% 9.15/7.10 tff(37269,plain,
% 9.15/7.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB152, constB153)) | (v193(constB153) <=> v191(constB152)))),
% 9.15/7.10 inference(quant_inst,[status(thm)],[])).
% 9.15/7.10 tff(37270,plain,
% 9.15/7.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB152, constB153)) | (v193(constB153) <=> v191(constB152))),
% 9.15/7.10 inference(modus_ponens,[status(thm)],[37269, 37268])).
% 9.15/7.10 tff(37271,plain,
% 9.15/7.10 (v193(constB153) <=> v191(constB152)),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37270, 16347, 70])).
% 9.15/7.10 tff(37272,plain,
% 9.15/7.10 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB152) <=> (v194(constB152) | v198(constB152)))),
% 9.15/7.10 inference(quant_inst,[status(thm)],[])).
% 9.15/7.10 tff(37273,plain,
% 9.15/7.10 (v191(constB152) <=> (v194(constB152) | v198(constB152))),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37272, 84])).
% 9.15/7.10 tff(37274,plain,
% 9.15/7.10 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB152) <=> (~((~v199(constB152)) | (~v200(constB152)))))),
% 9.15/7.10 inference(quant_inst,[status(thm)],[])).
% 9.15/7.10 tff(37275,plain,
% 9.15/7.10 (v198(constB152) <=> (~((~v199(constB152)) | (~v200(constB152))))),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37274, 96])).
% 9.15/7.10 tff(37276,plain,
% 9.15/7.10 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB152) <=> (~((~v197(constB152)) | (~v201(constB152)))))),
% 9.15/7.10 inference(quant_inst,[status(thm)],[])).
% 9.15/7.10 tff(37277,plain,
% 9.15/7.10 (v200(constB152) <=> (~((~v197(constB152)) | (~v201(constB152))))),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37276, 108])).
% 9.15/7.10 tff(37278,plain,
% 9.15/7.10 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB152) <=> (~((~v39(constB152)) | (~v9(constB152)))))),
% 9.15/7.10 inference(quant_inst,[status(thm)],[])).
% 9.15/7.10 tff(37279,plain,
% 9.15/7.10 (v197(constB152) <=> (~((~v39(constB152)) | (~v9(constB152))))),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37278, 120])).
% 9.15/7.10 tff(37280,plain,
% 9.15/7.10 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB152)) <=> v1(constB152))),
% 9.15/7.10 inference(quant_inst,[status(thm)],[])).
% 9.15/7.10 tff(37281,plain,
% 9.15/7.10 ((~v39(constB152)) <=> v1(constB152)),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37280, 129])).
% 9.15/7.10 tff(37282,plain,
% 9.15/7.10 ((~((~v39(constB152)) <=> v1(constB152))) | (~v39(constB152)) | (~v1(constB152))),
% 9.15/7.10 inference(tautology,[status(thm)],[])).
% 9.15/7.10 tff(37283,plain,
% 9.15/7.10 ((~((~v39(constB152)) <=> v1(constB152))) | (~v39(constB152))),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37282, 20500])).
% 9.15/7.10 tff(37284,plain,
% 9.15/7.10 (~v39(constB152)),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37283, 37281])).
% 9.15/7.10 tff(37285,plain,
% 9.15/7.10 (((~v39(constB152)) | (~v9(constB152))) | v39(constB152)),
% 9.15/7.10 inference(tautology,[status(thm)],[])).
% 9.15/7.10 tff(37286,plain,
% 9.15/7.10 ((~v39(constB152)) | (~v9(constB152))),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37285, 37284])).
% 9.15/7.10 tff(37287,plain,
% 9.15/7.10 ((~(v197(constB152) <=> (~((~v39(constB152)) | (~v9(constB152)))))) | (~v197(constB152)) | (~((~v39(constB152)) | (~v9(constB152))))),
% 9.15/7.10 inference(tautology,[status(thm)],[])).
% 9.15/7.10 tff(37288,plain,
% 9.15/7.10 ((~(v197(constB152) <=> (~((~v39(constB152)) | (~v9(constB152)))))) | (~v197(constB152))),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37287, 37286])).
% 9.15/7.10 tff(37289,plain,
% 9.15/7.10 (~v197(constB152)),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37288, 37279])).
% 9.15/7.10 tff(37290,plain,
% 9.15/7.10 (((~v197(constB152)) | (~v201(constB152))) | v197(constB152)),
% 9.15/7.10 inference(tautology,[status(thm)],[])).
% 9.15/7.10 tff(37291,plain,
% 9.15/7.10 ((~v197(constB152)) | (~v201(constB152))),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37290, 37289])).
% 9.15/7.10 tff(37292,plain,
% 9.15/7.10 ((~(v200(constB152) <=> (~((~v197(constB152)) | (~v201(constB152)))))) | (~v200(constB152)) | (~((~v197(constB152)) | (~v201(constB152))))),
% 9.15/7.10 inference(tautology,[status(thm)],[])).
% 9.15/7.10 tff(37293,plain,
% 9.15/7.10 ((~(v200(constB152) <=> (~((~v197(constB152)) | (~v201(constB152)))))) | (~v200(constB152))),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37292, 37291])).
% 9.15/7.10 tff(37294,plain,
% 9.15/7.10 (~v200(constB152)),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37293, 37277])).
% 9.15/7.10 tff(37295,plain,
% 9.15/7.10 (((~v199(constB152)) | (~v200(constB152))) | v200(constB152)),
% 9.15/7.10 inference(tautology,[status(thm)],[])).
% 9.15/7.10 tff(37296,plain,
% 9.15/7.10 ((~v199(constB152)) | (~v200(constB152))),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37295, 37294])).
% 9.15/7.10 tff(37297,plain,
% 9.15/7.10 ((~(v198(constB152) <=> (~((~v199(constB152)) | (~v200(constB152)))))) | (~v198(constB152)) | (~((~v199(constB152)) | (~v200(constB152))))),
% 9.15/7.10 inference(tautology,[status(thm)],[])).
% 9.15/7.10 tff(37298,plain,
% 9.15/7.10 (~v198(constB152)),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37297, 37296, 37275])).
% 9.15/7.10 tff(37299,plain,
% 9.15/7.10 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB152) <=> (~((~v157(constB152)) | (~v195(constB152)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB152) <=> (~((~v157(constB152)) | (~v195(constB152))))))),
% 9.15/7.10 inference(rewrite,[status(thm)],[])).
% 9.15/7.10 tff(37300,plain,
% 9.15/7.10 ((v194(constB152) <=> (~((~v195(constB152)) | (~v157(constB152))))) <=> (v194(constB152) <=> (~((~v157(constB152)) | (~v195(constB152)))))),
% 9.15/7.10 inference(rewrite,[status(thm)],[])).
% 9.15/7.10 tff(37301,plain,
% 9.15/7.10 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB152) <=> (~((~v195(constB152)) | (~v157(constB152)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB152) <=> (~((~v157(constB152)) | (~v195(constB152))))))),
% 9.15/7.10 inference(monotonicity,[status(thm)],[37300])).
% 9.15/7.10 tff(37302,plain,
% 9.15/7.10 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB152) <=> (~((~v195(constB152)) | (~v157(constB152)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB152) <=> (~((~v157(constB152)) | (~v195(constB152))))))),
% 9.15/7.10 inference(transitivity,[status(thm)],[37301, 37299])).
% 9.15/7.10 tff(37303,plain,
% 9.15/7.10 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB152) <=> (~((~v195(constB152)) | (~v157(constB152)))))),
% 9.15/7.10 inference(quant_inst,[status(thm)],[])).
% 9.15/7.10 tff(37304,plain,
% 9.15/7.10 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB152) <=> (~((~v157(constB152)) | (~v195(constB152)))))),
% 9.15/7.10 inference(modus_ponens,[status(thm)],[37303, 37302])).
% 9.15/7.10 tff(37305,plain,
% 9.15/7.10 (v194(constB152) <=> (~((~v157(constB152)) | (~v195(constB152))))),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37304, 161])).
% 9.15/7.10 tff(37306,plain,
% 9.15/7.10 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB152) <=> v193(constB152))),
% 9.15/7.10 inference(quant_inst,[status(thm)],[])).
% 9.15/7.10 tff(37307,plain,
% 9.15/7.10 (v157(constB152) <=> v193(constB152)),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37306, 13])).
% 9.15/7.10 tff(37308,plain,
% 9.15/7.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB151, constB152)) | (v193(constB152) <=> v191(constB151)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB151, constB152)) | (v193(constB152) <=> v191(constB151)))),
% 9.15/7.10 inference(rewrite,[status(thm)],[])).
% 9.15/7.10 tff(37309,plain,
% 9.15/7.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB151, constB152)) | (v193(constB152) <=> v191(constB151)))),
% 9.15/7.10 inference(quant_inst,[status(thm)],[])).
% 9.15/7.10 tff(37310,plain,
% 9.15/7.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB151, constB152)) | (v193(constB152) <=> v191(constB151))),
% 9.15/7.10 inference(modus_ponens,[status(thm)],[37309, 37308])).
% 9.15/7.10 tff(37311,plain,
% 9.15/7.10 (v193(constB152) <=> v191(constB151)),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37310, 16383, 70])).
% 9.15/7.10 tff(37312,plain,
% 9.15/7.10 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB151) <=> (v194(constB151) | v198(constB151)))),
% 9.15/7.10 inference(quant_inst,[status(thm)],[])).
% 9.15/7.10 tff(37313,plain,
% 9.15/7.10 (v191(constB151) <=> (v194(constB151) | v198(constB151))),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37312, 84])).
% 9.15/7.10 tff(37314,plain,
% 9.15/7.10 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB151) <=> (~((~v157(constB151)) | (~v195(constB151)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB151) <=> (~((~v157(constB151)) | (~v195(constB151))))))),
% 9.15/7.10 inference(rewrite,[status(thm)],[])).
% 9.15/7.10 tff(37315,plain,
% 9.15/7.10 ((v194(constB151) <=> (~((~v195(constB151)) | (~v157(constB151))))) <=> (v194(constB151) <=> (~((~v157(constB151)) | (~v195(constB151)))))),
% 9.15/7.10 inference(rewrite,[status(thm)],[])).
% 9.15/7.10 tff(37316,plain,
% 9.15/7.10 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB151) <=> (~((~v195(constB151)) | (~v157(constB151)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB151) <=> (~((~v157(constB151)) | (~v195(constB151))))))),
% 9.15/7.10 inference(monotonicity,[status(thm)],[37315])).
% 9.15/7.10 tff(37317,plain,
% 9.15/7.10 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB151) <=> (~((~v195(constB151)) | (~v157(constB151)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB151) <=> (~((~v157(constB151)) | (~v195(constB151))))))),
% 9.15/7.10 inference(transitivity,[status(thm)],[37316, 37314])).
% 9.15/7.10 tff(37318,plain,
% 9.15/7.10 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB151) <=> (~((~v195(constB151)) | (~v157(constB151)))))),
% 9.15/7.10 inference(quant_inst,[status(thm)],[])).
% 9.15/7.10 tff(37319,plain,
% 9.15/7.10 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB151) <=> (~((~v157(constB151)) | (~v195(constB151)))))),
% 9.15/7.10 inference(modus_ponens,[status(thm)],[37318, 37317])).
% 9.15/7.10 tff(37320,plain,
% 9.15/7.10 (v194(constB151) <=> (~((~v157(constB151)) | (~v195(constB151))))),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37319, 161])).
% 9.15/7.10 tff(37321,plain,
% 9.15/7.10 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB151)) <=> v196(constB151))),
% 9.15/7.10 inference(quant_inst,[status(thm)],[])).
% 9.15/7.10 tff(37322,plain,
% 9.15/7.10 ((~v195(constB151)) <=> v196(constB151)),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37321, 193])).
% 9.15/7.10 tff(37323,plain,
% 9.15/7.10 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB151) <=> (v197(constB151) | v26(constB151)))),
% 9.15/7.10 inference(quant_inst,[status(thm)],[])).
% 9.15/7.10 tff(37324,plain,
% 9.15/7.10 (v196(constB151) <=> (v197(constB151) | v26(constB151))),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37323, 202])).
% 9.15/7.10 tff(37325,plain,
% 9.15/7.10 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB151) <=> (~((~v39(constB151)) | (~v9(constB151)))))),
% 9.15/7.10 inference(quant_inst,[status(thm)],[])).
% 9.15/7.10 tff(37326,plain,
% 9.15/7.10 (v197(constB151) <=> (~((~v39(constB151)) | (~v9(constB151))))),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37325, 120])).
% 9.15/7.10 tff(37327,plain,
% 9.15/7.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB151, constB152)) | (v13(constB152) <=> v9(constB151)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB151, constB152)) | (v13(constB152) <=> v9(constB151)))),
% 9.15/7.10 inference(rewrite,[status(thm)],[])).
% 9.15/7.10 tff(37328,plain,
% 9.15/7.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB151, constB152)) | (v13(constB152) <=> v9(constB151)))),
% 9.15/7.10 inference(quant_inst,[status(thm)],[])).
% 9.15/7.10 tff(37329,plain,
% 9.15/7.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB151, constB152)) | (v13(constB152) <=> v9(constB151))),
% 9.15/7.10 inference(modus_ponens,[status(thm)],[37328, 37327])).
% 9.15/7.10 tff(37330,plain,
% 9.15/7.10 (v13(constB152) <=> v9(constB151)),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37329, 16383, 216])).
% 9.15/7.10 tff(37331,plain,
% 9.15/7.10 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB152) <=> v13(constB152))),
% 9.15/7.10 inference(quant_inst,[status(thm)],[])).
% 9.15/7.10 tff(37332,plain,
% 9.15/7.10 (v6(constB152) <=> v13(constB152)),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37331, 230])).
% 9.15/7.10 tff(37333,plain,
% 9.15/7.10 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB152)) <=> v6(constB152))),
% 9.15/7.10 inference(quant_inst,[status(thm)],[])).
% 9.15/7.10 tff(37334,plain,
% 9.15/7.10 ((~v21(constB152)) <=> v6(constB152)),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37333, 239])).
% 9.15/7.10 tff(37335,plain,
% 9.15/7.10 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB152) <=> (v20(constB152) | v21(constB152)))),
% 9.15/7.10 inference(quant_inst,[status(thm)],[])).
% 9.15/7.10 tff(37336,plain,
% 9.15/7.10 (v19(constB152) <=> (v20(constB152) | v21(constB152))),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37335, 248])).
% 9.15/7.10 tff(37337,plain,
% 9.15/7.10 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB152) <=> (~((~v19(constB152)) | (~v22(constB152)))))),
% 9.15/7.10 inference(quant_inst,[status(thm)],[])).
% 9.15/7.10 tff(37338,plain,
% 9.15/7.10 (v18(constB152) <=> (~((~v19(constB152)) | (~v22(constB152))))),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37337, 260])).
% 9.15/7.10 tff(37339,plain,
% 9.15/7.10 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB152)) <=> v18(constB152))),
% 9.15/7.10 inference(quant_inst,[status(thm)],[])).
% 9.15/7.10 tff(37340,plain,
% 9.15/7.10 ((~v4(constB152)) <=> v18(constB152)),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37339, 269])).
% 9.15/7.10 tff(37341,plain,
% 9.15/7.10 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB152)),
% 9.15/7.10 inference(quant_inst,[status(thm)],[])).
% 9.15/7.10 tff(37342,plain,
% 9.15/7.10 (v4(constB152)),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37341, 278])).
% 9.15/7.10 tff(37343,plain,
% 9.15/7.10 ((~((~v4(constB152)) <=> v18(constB152))) | (~v4(constB152)) | (~v18(constB152))),
% 9.15/7.10 inference(tautology,[status(thm)],[])).
% 9.15/7.10 tff(37344,plain,
% 9.15/7.10 (~v18(constB152)),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37343, 37342, 37340])).
% 9.15/7.10 tff(37345,plain,
% 9.15/7.10 ((~(v18(constB152) <=> (~((~v19(constB152)) | (~v22(constB152)))))) | v18(constB152) | ((~v19(constB152)) | (~v22(constB152)))),
% 9.15/7.10 inference(tautology,[status(thm)],[])).
% 9.15/7.10 tff(37346,plain,
% 9.15/7.10 ((~v19(constB152)) | (~v22(constB152))),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37345, 37344, 37338])).
% 9.15/7.10 tff(37347,plain,
% 9.15/7.10 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB152) <=> (v1(constB152) | v6(constB152)))),
% 9.15/7.10 inference(quant_inst,[status(thm)],[])).
% 9.15/7.10 tff(37348,plain,
% 9.15/7.10 (v22(constB152) <=> (v1(constB152) | v6(constB152))),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37347, 291])).
% 9.15/7.10 tff(37349,plain,
% 9.15/7.10 ((v1(constB152) | v6(constB152)) | (~v1(constB152))),
% 9.15/7.10 inference(tautology,[status(thm)],[])).
% 9.15/7.10 tff(37350,plain,
% 9.15/7.10 (v1(constB152) | v6(constB152)),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37349, 20500])).
% 9.15/7.10 tff(37351,plain,
% 9.15/7.10 ((~(v22(constB152) <=> (v1(constB152) | v6(constB152)))) | v22(constB152) | (~(v1(constB152) | v6(constB152)))),
% 9.15/7.10 inference(tautology,[status(thm)],[])).
% 9.15/7.10 tff(37352,plain,
% 9.15/7.10 ((~(v22(constB152) <=> (v1(constB152) | v6(constB152)))) | v22(constB152)),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37351, 37350])).
% 9.15/7.10 tff(37353,plain,
% 9.15/7.10 (v22(constB152)),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37352, 37348])).
% 9.15/7.10 tff(37354,plain,
% 9.15/7.10 ((~((~v19(constB152)) | (~v22(constB152)))) | (~v19(constB152)) | (~v22(constB152))),
% 9.15/7.10 inference(tautology,[status(thm)],[])).
% 9.15/7.10 tff(37355,plain,
% 9.15/7.10 ((~((~v19(constB152)) | (~v22(constB152)))) | (~v19(constB152))),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37354, 37353])).
% 9.15/7.10 tff(37356,plain,
% 9.15/7.10 (~v19(constB152)),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37355, 37346])).
% 9.15/7.10 tff(37357,plain,
% 9.15/7.10 ((~(v19(constB152) <=> (v20(constB152) | v21(constB152)))) | v19(constB152) | (~(v20(constB152) | v21(constB152)))),
% 9.15/7.10 inference(tautology,[status(thm)],[])).
% 9.15/7.10 tff(37358,plain,
% 9.15/7.10 (~(v20(constB152) | v21(constB152))),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37357, 37356, 37336])).
% 9.15/7.10 tff(37359,plain,
% 9.15/7.10 ((v20(constB152) | v21(constB152)) | (~v21(constB152))),
% 9.15/7.10 inference(tautology,[status(thm)],[])).
% 9.15/7.10 tff(37360,plain,
% 9.15/7.10 (~v21(constB152)),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37359, 37358])).
% 9.15/7.10 tff(37361,plain,
% 9.15/7.10 ((~((~v21(constB152)) <=> v6(constB152))) | v21(constB152) | v6(constB152)),
% 9.15/7.10 inference(tautology,[status(thm)],[])).
% 9.15/7.10 tff(37362,plain,
% 9.15/7.10 (v6(constB152)),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37361, 37360, 37334])).
% 9.15/7.10 tff(37363,plain,
% 9.15/7.10 ((~(v6(constB152) <=> v13(constB152))) | (~v6(constB152)) | v13(constB152)),
% 9.15/7.10 inference(tautology,[status(thm)],[])).
% 9.15/7.10 tff(37364,plain,
% 9.15/7.10 (v13(constB152)),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37363, 37362, 37332])).
% 9.15/7.10 tff(37365,plain,
% 9.15/7.10 ((~(v13(constB152) <=> v9(constB151))) | (~v13(constB152)) | v9(constB151)),
% 9.15/7.10 inference(tautology,[status(thm)],[])).
% 9.15/7.10 tff(37366,plain,
% 9.15/7.10 (v9(constB151)),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37365, 37364, 37330])).
% 9.15/7.10 tff(37367,plain,
% 9.15/7.10 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB151)) <=> v1(constB151))),
% 9.15/7.10 inference(quant_inst,[status(thm)],[])).
% 9.15/7.10 tff(37368,plain,
% 9.15/7.10 ((~v39(constB151)) <=> v1(constB151)),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37367, 129])).
% 9.15/7.10 tff(37369,plain,
% 9.15/7.10 ((~((~v39(constB151)) <=> v1(constB151))) | v39(constB151) | v1(constB151)),
% 9.15/7.10 inference(tautology,[status(thm)],[])).
% 9.15/7.10 tff(37370,plain,
% 9.15/7.10 ((~((~v39(constB151)) <=> v1(constB151))) | v39(constB151)),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37369, 16427])).
% 9.15/7.10 tff(37371,plain,
% 9.15/7.10 (v39(constB151)),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37370, 37368])).
% 9.15/7.10 tff(37372,plain,
% 9.15/7.10 ((~((~v39(constB151)) | (~v9(constB151)))) | (~v39(constB151)) | (~v9(constB151))),
% 9.15/7.10 inference(tautology,[status(thm)],[])).
% 9.15/7.10 tff(37373,plain,
% 9.15/7.10 ((~((~v39(constB151)) | (~v9(constB151)))) | (~v9(constB151))),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37372, 37371])).
% 9.15/7.10 tff(37374,plain,
% 9.15/7.10 (~((~v39(constB151)) | (~v9(constB151)))),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37373, 37366])).
% 9.15/7.10 tff(37375,plain,
% 9.15/7.10 ((~(v197(constB151) <=> (~((~v39(constB151)) | (~v9(constB151)))))) | v197(constB151) | ((~v39(constB151)) | (~v9(constB151)))),
% 9.15/7.10 inference(tautology,[status(thm)],[])).
% 9.15/7.10 tff(37376,plain,
% 9.15/7.10 (v197(constB151)),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37375, 37374, 37326])).
% 9.15/7.10 tff(37377,plain,
% 9.15/7.10 ((v197(constB151) | v26(constB151)) | (~v197(constB151))),
% 9.15/7.10 inference(tautology,[status(thm)],[])).
% 9.15/7.10 tff(37378,plain,
% 9.15/7.10 (v197(constB151) | v26(constB151)),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37377, 37376])).
% 9.15/7.10 tff(37379,plain,
% 9.15/7.10 ((~(v196(constB151) <=> (v197(constB151) | v26(constB151)))) | v196(constB151) | (~(v197(constB151) | v26(constB151)))),
% 9.15/7.10 inference(tautology,[status(thm)],[])).
% 9.15/7.10 tff(37380,plain,
% 9.15/7.10 (v196(constB151)),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37379, 37378, 37324])).
% 9.15/7.10 tff(37381,plain,
% 9.15/7.10 ((~((~v195(constB151)) <=> v196(constB151))) | (~v195(constB151)) | (~v196(constB151))),
% 9.15/7.10 inference(tautology,[status(thm)],[])).
% 9.15/7.10 tff(37382,plain,
% 9.15/7.10 (~v195(constB151)),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37381, 37380, 37322])).
% 9.15/7.10 tff(37383,plain,
% 9.15/7.10 (((~v157(constB151)) | (~v195(constB151))) | v195(constB151)),
% 9.15/7.10 inference(tautology,[status(thm)],[])).
% 9.15/7.10 tff(37384,plain,
% 9.15/7.10 ((~v157(constB151)) | (~v195(constB151))),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37383, 37382])).
% 9.15/7.10 tff(37385,plain,
% 9.15/7.10 ((~(v194(constB151) <=> (~((~v157(constB151)) | (~v195(constB151)))))) | (~v194(constB151)) | (~((~v157(constB151)) | (~v195(constB151))))),
% 9.15/7.10 inference(tautology,[status(thm)],[])).
% 9.15/7.10 tff(37386,plain,
% 9.15/7.10 (~v194(constB151)),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37385, 37384, 37320])).
% 9.15/7.10 tff(37387,plain,
% 9.15/7.10 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB151) <=> (~((~v199(constB151)) | (~v200(constB151)))))),
% 9.15/7.10 inference(quant_inst,[status(thm)],[])).
% 9.15/7.10 tff(37388,plain,
% 9.15/7.10 (v198(constB151) <=> (~((~v199(constB151)) | (~v200(constB151))))),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37387, 96])).
% 9.15/7.10 tff(37389,plain,
% 9.15/7.10 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB151) <=> (~((~v197(constB151)) | (~v201(constB151)))))),
% 9.15/7.10 inference(quant_inst,[status(thm)],[])).
% 9.15/7.10 tff(37390,plain,
% 9.15/7.10 (v200(constB151) <=> (~((~v197(constB151)) | (~v201(constB151))))),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37389, 108])).
% 9.15/7.10 tff(37391,plain,
% 9.15/7.10 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB151) <=> (~((~v159(constB151)) | (~v161(constB151)))))),
% 9.15/7.10 inference(quant_inst,[status(thm)],[])).
% 9.15/7.10 tff(37392,plain,
% 9.15/7.10 (v201(constB151) <=> (~((~v159(constB151)) | (~v161(constB151))))),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37391, 348])).
% 9.15/7.10 tff(37393,plain,
% 9.15/7.10 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB151) <=> v163(constB151))),
% 9.15/7.10 inference(quant_inst,[status(thm)],[])).
% 9.15/7.10 tff(37394,plain,
% 9.15/7.10 (v161(constB151) <=> v163(constB151)),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37393, 357])).
% 9.15/7.10 tff(37395,plain,
% 9.15/7.10 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB151) <=> (v145(constB151) | v167(constB151)))),
% 9.15/7.10 inference(quant_inst,[status(thm)],[])).
% 9.15/7.10 tff(37396,plain,
% 9.15/7.10 (v166(constB151) <=> (v145(constB151) | v167(constB151))),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37395, 369])).
% 9.15/7.10 tff(37397,plain,
% 9.15/7.10 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB151) <=> (v142(constB151) | v168(constB151)))),
% 9.15/7.10 inference(quant_inst,[status(thm)],[])).
% 9.15/7.10 tff(37398,plain,
% 9.15/7.10 (v167(constB151) <=> (v142(constB151) | v168(constB151))),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37397, 381])).
% 9.15/7.10 tff(37399,plain,
% 9.15/7.10 ((~![VarCurr: $i] : (v168(VarCurr) <=> (v141(VarCurr) | v169(VarCurr)))) | (v168(constB151) <=> (v141(constB151) | v169(constB151)))),
% 9.15/7.10 inference(quant_inst,[status(thm)],[])).
% 9.15/7.10 tff(37400,plain,
% 9.15/7.10 (v168(constB151) <=> (v141(constB151) | v169(constB151))),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37399, 393])).
% 9.15/7.10 tff(37401,plain,
% 9.15/7.10 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB151) <=> (~((~v88(constB151, bitIndex1)) | v88(constB151, bitIndex2) | (~v88(constB151, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB151) <=> (~((~v88(constB151, bitIndex1)) | v88(constB151, bitIndex2) | (~v88(constB151, bitIndex0))))))),
% 9.15/7.10 inference(rewrite,[status(thm)],[])).
% 9.15/7.10 tff(37402,plain,
% 9.15/7.10 ((v141(constB151) <=> (~(v88(constB151, bitIndex2) | (~v88(constB151, bitIndex1)) | (~v88(constB151, bitIndex0))))) <=> (v141(constB151) <=> (~((~v88(constB151, bitIndex1)) | v88(constB151, bitIndex2) | (~v88(constB151, bitIndex0)))))),
% 9.15/7.10 inference(rewrite,[status(thm)],[])).
% 9.15/7.10 tff(37403,plain,
% 9.15/7.10 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB151) <=> (~(v88(constB151, bitIndex2) | (~v88(constB151, bitIndex1)) | (~v88(constB151, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB151) <=> (~((~v88(constB151, bitIndex1)) | v88(constB151, bitIndex2) | (~v88(constB151, bitIndex0))))))),
% 9.15/7.10 inference(monotonicity,[status(thm)],[37402])).
% 9.15/7.10 tff(37404,plain,
% 9.15/7.10 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB151) <=> (~(v88(constB151, bitIndex2) | (~v88(constB151, bitIndex1)) | (~v88(constB151, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB151) <=> (~((~v88(constB151, bitIndex1)) | v88(constB151, bitIndex2) | (~v88(constB151, bitIndex0))))))),
% 9.15/7.10 inference(transitivity,[status(thm)],[37403, 37401])).
% 9.15/7.10 tff(37405,plain,
% 9.15/7.10 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB151) <=> (~(v88(constB151, bitIndex2) | (~v88(constB151, bitIndex1)) | (~v88(constB151, bitIndex0)))))),
% 9.15/7.10 inference(quant_inst,[status(thm)],[])).
% 9.15/7.10 tff(37406,plain,
% 9.15/7.10 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB151) <=> (~((~v88(constB151, bitIndex1)) | v88(constB151, bitIndex2) | (~v88(constB151, bitIndex0)))))),
% 9.15/7.10 inference(modus_ponens,[status(thm)],[37405, 37404])).
% 9.15/7.10 tff(37407,plain,
% 9.15/7.10 (v141(constB151) <=> (~((~v88(constB151, bitIndex1)) | v88(constB151, bitIndex2) | (~v88(constB151, bitIndex0))))),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37406, 408])).
% 9.15/7.10 tff(37408,plain,
% 9.15/7.10 ((~![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))) | (~(((~v88(constB151, bitIndex1)) <=> v90(constB151, bitIndex1)) | ((~v88(constB151, bitIndex2)) <=> v90(constB151, bitIndex2)) | ((~v88(constB151, bitIndex0)) <=> v90(constB151, bitIndex0))))),
% 9.15/7.10 inference(quant_inst,[status(thm)],[])).
% 9.15/7.10 tff(37409,plain,
% 9.15/7.10 (~(((~v88(constB151, bitIndex1)) <=> v90(constB151, bitIndex1)) | ((~v88(constB151, bitIndex2)) <=> v90(constB151, bitIndex2)) | ((~v88(constB151, bitIndex0)) <=> v90(constB151, bitIndex0)))),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37408, 428])).
% 9.15/7.10 tff(37410,plain,
% 9.15/7.10 ((((~v88(constB151, bitIndex1)) <=> v90(constB151, bitIndex1)) | ((~v88(constB151, bitIndex2)) <=> v90(constB151, bitIndex2)) | ((~v88(constB151, bitIndex0)) <=> v90(constB151, bitIndex0))) | (~((~v88(constB151, bitIndex2)) <=> v90(constB151, bitIndex2)))),
% 9.15/7.10 inference(tautology,[status(thm)],[])).
% 9.15/7.10 tff(37411,plain,
% 9.15/7.10 (~((~v88(constB151, bitIndex2)) <=> v90(constB151, bitIndex2))),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37410, 37409])).
% 9.15/7.10 tff(37412,plain,
% 9.15/7.10 (((~v88(constB151, bitIndex2)) <=> v90(constB151, bitIndex2)) | (~v88(constB151, bitIndex2)) | v90(constB151, bitIndex2)),
% 9.15/7.10 inference(tautology,[status(thm)],[])).
% 9.15/7.10 tff(37413,plain,
% 9.15/7.10 (~v88(constB151, bitIndex2)),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37412, 20419, 37411])).
% 9.15/7.10 tff(37414,plain,
% 9.15/7.10 ((((~v88(constB151, bitIndex1)) <=> v90(constB151, bitIndex1)) | ((~v88(constB151, bitIndex2)) <=> v90(constB151, bitIndex2)) | ((~v88(constB151, bitIndex0)) <=> v90(constB151, bitIndex0))) | (~((~v88(constB151, bitIndex0)) <=> v90(constB151, bitIndex0)))),
% 9.15/7.10 inference(tautology,[status(thm)],[])).
% 9.15/7.10 tff(37415,plain,
% 9.15/7.10 (~((~v88(constB151, bitIndex0)) <=> v90(constB151, bitIndex0))),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37414, 37409])).
% 9.15/7.10 tff(37416,plain,
% 9.15/7.10 (((~v88(constB151, bitIndex0)) <=> v90(constB151, bitIndex0)) | v88(constB151, bitIndex0) | (~v90(constB151, bitIndex0))),
% 9.15/7.10 inference(tautology,[status(thm)],[])).
% 9.15/7.10 tff(37417,plain,
% 9.15/7.10 (v88(constB151, bitIndex0)),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37416, 20437, 37415])).
% 9.15/7.10 tff(37418,plain,
% 9.15/7.10 ((((~v88(constB151, bitIndex1)) <=> v90(constB151, bitIndex1)) | ((~v88(constB151, bitIndex2)) <=> v90(constB151, bitIndex2)) | ((~v88(constB151, bitIndex0)) <=> v90(constB151, bitIndex0))) | (~((~v88(constB151, bitIndex1)) <=> v90(constB151, bitIndex1)))),
% 9.15/7.10 inference(tautology,[status(thm)],[])).
% 9.15/7.10 tff(37419,plain,
% 9.15/7.10 (~((~v88(constB151, bitIndex1)) <=> v90(constB151, bitIndex1))),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37418, 37409])).
% 9.15/7.10 tff(37420,plain,
% 9.15/7.10 (((~v88(constB151, bitIndex1)) <=> v90(constB151, bitIndex1)) | v88(constB151, bitIndex1) | (~v90(constB151, bitIndex1))),
% 9.15/7.10 inference(tautology,[status(thm)],[])).
% 9.15/7.10 tff(37421,plain,
% 9.15/7.10 (v88(constB151, bitIndex1)),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37420, 20455, 37419])).
% 9.15/7.10 tff(37422,plain,
% 9.15/7.10 ((~((~v88(constB151, bitIndex1)) | v88(constB151, bitIndex2) | (~v88(constB151, bitIndex0)))) | (~v88(constB151, bitIndex1)) | v88(constB151, bitIndex2) | (~v88(constB151, bitIndex0))),
% 9.15/7.10 inference(tautology,[status(thm)],[])).
% 9.15/7.10 tff(37423,plain,
% 9.15/7.10 (~((~v88(constB151, bitIndex1)) | v88(constB151, bitIndex2) | (~v88(constB151, bitIndex0)))),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37422, 37421, 37417, 37413])).
% 9.15/7.10 tff(37424,plain,
% 9.15/7.10 ((~(v141(constB151) <=> (~((~v88(constB151, bitIndex1)) | v88(constB151, bitIndex2) | (~v88(constB151, bitIndex0)))))) | v141(constB151) | ((~v88(constB151, bitIndex1)) | v88(constB151, bitIndex2) | (~v88(constB151, bitIndex0)))),
% 9.15/7.10 inference(tautology,[status(thm)],[])).
% 9.15/7.10 tff(37425,plain,
% 9.15/7.10 (v141(constB151)),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37424, 37423, 37407])).
% 9.15/7.10 tff(37426,plain,
% 9.15/7.10 ((v141(constB151) | v169(constB151)) | (~v141(constB151))),
% 9.15/7.10 inference(tautology,[status(thm)],[])).
% 9.15/7.10 tff(37427,plain,
% 9.15/7.10 (v141(constB151) | v169(constB151)),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37426, 37425])).
% 9.15/7.10 tff(37428,plain,
% 9.15/7.10 ((~(v168(constB151) <=> (v141(constB151) | v169(constB151)))) | v168(constB151) | (~(v141(constB151) | v169(constB151)))),
% 9.15/7.10 inference(tautology,[status(thm)],[])).
% 9.15/7.10 tff(37429,plain,
% 9.15/7.10 (v168(constB151)),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37428, 37427, 37400])).
% 9.15/7.10 tff(37430,plain,
% 9.15/7.10 ((v142(constB151) | v168(constB151)) | (~v168(constB151))),
% 9.15/7.10 inference(tautology,[status(thm)],[])).
% 9.15/7.10 tff(37431,plain,
% 9.15/7.10 (v142(constB151) | v168(constB151)),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37430, 37429])).
% 9.15/7.10 tff(37432,plain,
% 9.15/7.10 ((~(v167(constB151) <=> (v142(constB151) | v168(constB151)))) | v167(constB151) | (~(v142(constB151) | v168(constB151)))),
% 9.15/7.10 inference(tautology,[status(thm)],[])).
% 9.15/7.10 tff(37433,plain,
% 9.15/7.10 ((~(v167(constB151) <=> (v142(constB151) | v168(constB151)))) | v167(constB151)),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37432, 37431])).
% 9.15/7.10 tff(37434,plain,
% 9.15/7.10 (v167(constB151)),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37433, 37398])).
% 9.15/7.10 tff(37435,plain,
% 9.15/7.10 ((v145(constB151) | v167(constB151)) | (~v167(constB151))),
% 9.15/7.10 inference(tautology,[status(thm)],[])).
% 9.15/7.10 tff(37436,plain,
% 9.15/7.10 (v145(constB151) | v167(constB151)),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37435, 37434])).
% 9.15/7.10 tff(37437,plain,
% 9.15/7.10 ((~(v166(constB151) <=> (v145(constB151) | v167(constB151)))) | v166(constB151) | (~(v145(constB151) | v167(constB151)))),
% 9.15/7.10 inference(tautology,[status(thm)],[])).
% 9.15/7.10 tff(37438,plain,
% 9.15/7.10 (v166(constB151)),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37437, 37436, 37396])).
% 9.15/7.10 tff(37439,plain,
% 9.15/7.10 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB151)) | (v163(constB151) <=> v170(constB151)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB151)) | (v163(constB151) <=> v170(constB151)))),
% 9.15/7.10 inference(rewrite,[status(thm)],[])).
% 9.15/7.10 tff(37440,plain,
% 9.15/7.10 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB151)) | (v163(constB151) <=> v170(constB151)))),
% 9.15/7.10 inference(quant_inst,[status(thm)],[])).
% 9.15/7.10 tff(37441,plain,
% 9.15/7.10 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB151)) | (v163(constB151) <=> v170(constB151))),
% 9.15/7.10 inference(modus_ponens,[status(thm)],[37440, 37439])).
% 9.15/7.10 tff(37442,plain,
% 9.15/7.10 ((~v166(constB151)) | (v163(constB151) <=> v170(constB151))),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37441, 9851])).
% 9.15/7.10 tff(37443,plain,
% 9.15/7.10 (v163(constB151) <=> v170(constB151)),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37442, 37438])).
% 9.15/7.10 tff(37444,plain,
% 9.15/7.10 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB151) <=> (v142(constB151) | v150(constB151)))),
% 9.15/7.10 inference(quant_inst,[status(thm)],[])).
% 9.15/7.10 tff(37445,plain,
% 9.15/7.10 (v171(constB151) <=> (v142(constB151) | v150(constB151))),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37444, 9866])).
% 9.15/7.10 tff(37446,plain,
% 9.15/7.10 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v141(VarCurr) | v151(VarCurr)))) | (v150(constB151) <=> (v141(constB151) | v151(constB151)))),
% 9.15/7.10 inference(quant_inst,[status(thm)],[])).
% 9.15/7.10 tff(37447,plain,
% 9.15/7.10 (v150(constB151) <=> (v141(constB151) | v151(constB151))),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37446, 9878])).
% 9.15/7.10 tff(37448,plain,
% 9.15/7.10 ((v141(constB151) | v151(constB151)) | (~v141(constB151))),
% 9.15/7.10 inference(tautology,[status(thm)],[])).
% 9.15/7.10 tff(37449,plain,
% 9.15/7.10 (v141(constB151) | v151(constB151)),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37448, 37425])).
% 9.15/7.10 tff(37450,plain,
% 9.15/7.10 ((~(v150(constB151) <=> (v141(constB151) | v151(constB151)))) | v150(constB151) | (~(v141(constB151) | v151(constB151)))),
% 9.15/7.10 inference(tautology,[status(thm)],[])).
% 9.15/7.10 tff(37451,plain,
% 9.15/7.10 (v150(constB151)),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37450, 37449, 37447])).
% 9.15/7.10 tff(37452,plain,
% 9.15/7.10 ((v142(constB151) | v150(constB151)) | (~v150(constB151))),
% 9.15/7.10 inference(tautology,[status(thm)],[])).
% 9.15/7.10 tff(37453,plain,
% 9.15/7.10 (v142(constB151) | v150(constB151)),
% 9.15/7.10 inference(unit_resolution,[status(thm)],[37452, 37451])).
% 9.15/7.10 tff(37454,plain,
% 9.15/7.10 ((~(v171(constB151) <=> (v142(constB151) | v150(constB151)))) | v171(constB151) | (~(v142(constB151) | v150(constB151)))),
% 9.15/7.11 inference(tautology,[status(thm)],[])).
% 9.15/7.11 tff(37455,plain,
% 9.15/7.11 ((~(v171(constB151) <=> (v142(constB151) | v150(constB151)))) | v171(constB151)),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37454, 37453])).
% 9.15/7.11 tff(37456,plain,
% 9.15/7.11 (v171(constB151)),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37455, 37445])).
% 9.15/7.11 tff(37457,plain,
% 9.15/7.11 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB151)) | (~v171(constB151)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB151)) | (~v171(constB151)))),
% 9.15/7.11 inference(rewrite,[status(thm)],[])).
% 9.15/7.11 tff(37458,plain,
% 9.15/7.11 (((~v171(constB151)) | (~v170(constB151))) <=> ((~v170(constB151)) | (~v171(constB151)))),
% 9.15/7.11 inference(rewrite,[status(thm)],[])).
% 9.15/7.11 tff(37459,plain,
% 9.15/7.11 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB151)) | (~v170(constB151)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB151)) | (~v171(constB151))))),
% 9.15/7.11 inference(monotonicity,[status(thm)],[37458])).
% 9.15/7.11 tff(37460,plain,
% 9.15/7.11 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB151)) | (~v170(constB151)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB151)) | (~v171(constB151)))),
% 9.15/7.11 inference(transitivity,[status(thm)],[37459, 37457])).
% 9.15/7.11 tff(37461,plain,
% 9.15/7.11 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB151)) | (~v170(constB151)))),
% 9.15/7.11 inference(quant_inst,[status(thm)],[])).
% 9.15/7.11 tff(37462,plain,
% 9.15/7.11 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB151)) | (~v171(constB151))),
% 9.15/7.11 inference(modus_ponens,[status(thm)],[37461, 37460])).
% 9.15/7.11 tff(37463,plain,
% 9.15/7.11 (~v170(constB151)),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37462, 9899, 37456])).
% 9.15/7.11 tff(37464,plain,
% 9.15/7.11 ((~(v163(constB151) <=> v170(constB151))) | (~v163(constB151)) | v170(constB151)),
% 9.15/7.11 inference(tautology,[status(thm)],[])).
% 9.15/7.11 tff(37465,plain,
% 9.15/7.11 (~v163(constB151)),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37464, 37463, 37443])).
% 9.15/7.11 tff(37466,plain,
% 9.15/7.11 ((~(v161(constB151) <=> v163(constB151))) | (~v161(constB151)) | v163(constB151)),
% 9.15/7.11 inference(tautology,[status(thm)],[])).
% 9.15/7.11 tff(37467,plain,
% 9.15/7.11 (~v161(constB151)),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37466, 37465, 37394])).
% 9.15/7.11 tff(37468,plain,
% 9.15/7.11 (((~v159(constB151)) | (~v161(constB151))) | v161(constB151)),
% 9.15/7.11 inference(tautology,[status(thm)],[])).
% 9.15/7.11 tff(37469,plain,
% 9.15/7.11 ((~v159(constB151)) | (~v161(constB151))),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37468, 37467])).
% 9.15/7.11 tff(37470,plain,
% 9.15/7.11 ((~(v201(constB151) <=> (~((~v159(constB151)) | (~v161(constB151)))))) | (~v201(constB151)) | (~((~v159(constB151)) | (~v161(constB151))))),
% 9.15/7.11 inference(tautology,[status(thm)],[])).
% 9.15/7.11 tff(37471,plain,
% 9.15/7.11 (~v201(constB151)),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37470, 37469, 37392])).
% 9.15/7.11 tff(37472,plain,
% 9.15/7.11 (((~v197(constB151)) | (~v201(constB151))) | v201(constB151)),
% 9.15/7.11 inference(tautology,[status(thm)],[])).
% 9.15/7.11 tff(37473,plain,
% 9.15/7.11 ((~v197(constB151)) | (~v201(constB151))),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37472, 37471])).
% 9.15/7.11 tff(37474,plain,
% 9.15/7.11 ((~(v200(constB151) <=> (~((~v197(constB151)) | (~v201(constB151)))))) | (~v200(constB151)) | (~((~v197(constB151)) | (~v201(constB151))))),
% 9.15/7.11 inference(tautology,[status(thm)],[])).
% 9.15/7.11 tff(37475,plain,
% 9.15/7.11 (~v200(constB151)),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37474, 37473, 37390])).
% 9.15/7.11 tff(37476,plain,
% 9.15/7.11 (((~v199(constB151)) | (~v200(constB151))) | v200(constB151)),
% 9.15/7.11 inference(tautology,[status(thm)],[])).
% 9.15/7.11 tff(37477,plain,
% 9.15/7.11 ((~v199(constB151)) | (~v200(constB151))),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37476, 37475])).
% 9.15/7.11 tff(37478,plain,
% 9.15/7.11 ((~(v198(constB151) <=> (~((~v199(constB151)) | (~v200(constB151)))))) | (~v198(constB151)) | (~((~v199(constB151)) | (~v200(constB151))))),
% 9.15/7.11 inference(tautology,[status(thm)],[])).
% 9.15/7.11 tff(37479,plain,
% 9.15/7.11 (~v198(constB151)),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37478, 37477, 37388])).
% 9.15/7.11 tff(37480,plain,
% 9.15/7.11 ((~(v194(constB151) | v198(constB151))) | v194(constB151) | v198(constB151)),
% 9.15/7.11 inference(tautology,[status(thm)],[])).
% 9.15/7.11 tff(37481,plain,
% 9.15/7.11 (~(v194(constB151) | v198(constB151))),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37480, 37479, 37386])).
% 9.15/7.11 tff(37482,plain,
% 9.15/7.11 ((~(v191(constB151) <=> (v194(constB151) | v198(constB151)))) | (~v191(constB151)) | (v194(constB151) | v198(constB151))),
% 9.15/7.11 inference(tautology,[status(thm)],[])).
% 9.15/7.11 tff(37483,plain,
% 9.15/7.11 (~v191(constB151)),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37482, 37481, 37313])).
% 9.15/7.11 tff(37484,plain,
% 9.15/7.11 ((~(v193(constB152) <=> v191(constB151))) | (~v193(constB152)) | v191(constB151)),
% 9.15/7.11 inference(tautology,[status(thm)],[])).
% 9.15/7.11 tff(37485,plain,
% 9.15/7.11 (~v193(constB152)),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37484, 37483, 37311])).
% 9.15/7.11 tff(37486,plain,
% 9.15/7.11 ((~(v157(constB152) <=> v193(constB152))) | (~v157(constB152)) | v193(constB152)),
% 9.15/7.11 inference(tautology,[status(thm)],[])).
% 9.15/7.11 tff(37487,plain,
% 9.15/7.11 (~v157(constB152)),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37486, 37485, 37307])).
% 9.15/7.11 tff(37488,plain,
% 9.15/7.11 (((~v157(constB152)) | (~v195(constB152))) | v157(constB152)),
% 9.15/7.11 inference(tautology,[status(thm)],[])).
% 9.15/7.11 tff(37489,plain,
% 9.15/7.11 ((~v157(constB152)) | (~v195(constB152))),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37488, 37487])).
% 9.15/7.11 tff(37490,plain,
% 9.15/7.11 ((~(v194(constB152) <=> (~((~v157(constB152)) | (~v195(constB152)))))) | (~v194(constB152)) | (~((~v157(constB152)) | (~v195(constB152))))),
% 9.15/7.11 inference(tautology,[status(thm)],[])).
% 9.15/7.11 tff(37491,plain,
% 9.15/7.11 (~v194(constB152)),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37490, 37489, 37305])).
% 9.15/7.11 tff(37492,plain,
% 9.15/7.11 ((~(v194(constB152) | v198(constB152))) | v194(constB152) | v198(constB152)),
% 9.15/7.11 inference(tautology,[status(thm)],[])).
% 9.15/7.11 tff(37493,plain,
% 9.15/7.11 (~(v194(constB152) | v198(constB152))),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37492, 37491, 37298])).
% 9.15/7.11 tff(37494,plain,
% 9.15/7.11 ((~(v191(constB152) <=> (v194(constB152) | v198(constB152)))) | (~v191(constB152)) | (v194(constB152) | v198(constB152))),
% 9.15/7.11 inference(tautology,[status(thm)],[])).
% 9.15/7.11 tff(37495,plain,
% 9.15/7.11 (~v191(constB152)),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37494, 37493, 37273])).
% 9.15/7.11 tff(37496,plain,
% 9.15/7.11 ((~(v193(constB153) <=> v191(constB152))) | (~v193(constB153)) | v191(constB152)),
% 9.15/7.11 inference(tautology,[status(thm)],[])).
% 9.15/7.11 tff(37497,plain,
% 9.15/7.11 (~v193(constB153)),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37496, 37495, 37271])).
% 9.15/7.11 tff(37498,plain,
% 9.15/7.11 ($false),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37497, 37267])).
% 9.15/7.11 tff(37499,plain,(~(constB153 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.15/7.11 tff(37500,assumption,(constB35 = VarCurr!0), introduced(assumption)).
% 9.15/7.11 tff(37501,plain,
% 9.15/7.11 (v86(constB35) <=> v86(VarCurr!0)),
% 9.15/7.11 inference(monotonicity,[status(thm)],[37500])).
% 9.15/7.11 tff(37502,plain,
% 9.15/7.11 (v86(VarCurr!0) <=> v86(constB35)),
% 9.15/7.11 inference(symmetry,[status(thm)],[37501])).
% 9.15/7.11 tff(37503,plain,
% 9.15/7.11 ((~v86(VarCurr!0)) <=> (~v86(constB35))),
% 9.15/7.11 inference(monotonicity,[status(thm)],[37502])).
% 9.15/7.11 tff(37504,plain,
% 9.15/7.11 (~v86(constB35)),
% 9.15/7.11 inference(modus_ponens,[status(thm)],[14736, 37503])).
% 9.15/7.11 tff(37505,plain,
% 9.15/7.11 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB35) <=> (v136(constB35) | v145(constB35)))),
% 9.15/7.11 inference(quant_inst,[status(thm)],[])).
% 9.15/7.11 tff(37506,plain,
% 9.15/7.11 (v135(constB35) <=> (v136(constB35) | v145(constB35))),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37505, 14744])).
% 9.15/7.11 tff(37507,plain,
% 9.15/7.11 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB35) <=> (v137(constB35) | v142(constB35)))),
% 9.15/7.11 inference(quant_inst,[status(thm)],[])).
% 9.15/7.11 tff(37508,plain,
% 9.15/7.11 (v136(constB35) <=> (v137(constB35) | v142(constB35))),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37507, 14753])).
% 9.15/7.11 tff(37509,plain,
% 9.15/7.11 ((v137(constB35) | v142(constB35)) | (~v142(constB35))),
% 9.15/7.11 inference(tautology,[status(thm)],[])).
% 9.15/7.11 tff(37510,plain,
% 9.15/7.11 (v137(constB35) | v142(constB35)),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37509, 28829])).
% 9.15/7.11 tff(37511,plain,
% 9.15/7.11 ((~(v136(constB35) <=> (v137(constB35) | v142(constB35)))) | v136(constB35) | (~(v137(constB35) | v142(constB35)))),
% 9.15/7.11 inference(tautology,[status(thm)],[])).
% 9.15/7.11 tff(37512,plain,
% 9.15/7.11 ((~(v136(constB35) <=> (v137(constB35) | v142(constB35)))) | v136(constB35)),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37511, 37510])).
% 9.15/7.11 tff(37513,plain,
% 9.15/7.11 (v136(constB35)),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37512, 37508])).
% 9.15/7.11 tff(37514,plain,
% 9.15/7.11 ((v136(constB35) | v145(constB35)) | (~v136(constB35))),
% 9.15/7.11 inference(tautology,[status(thm)],[])).
% 9.15/7.11 tff(37515,plain,
% 9.15/7.11 (v136(constB35) | v145(constB35)),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37514, 37513])).
% 9.15/7.11 tff(37516,plain,
% 9.15/7.11 ((~(v135(constB35) <=> (v136(constB35) | v145(constB35)))) | v135(constB35) | (~(v136(constB35) | v145(constB35)))),
% 9.15/7.11 inference(tautology,[status(thm)],[])).
% 9.15/7.11 tff(37517,plain,
% 9.15/7.11 (v135(constB35)),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37516, 37515, 37506])).
% 9.15/7.11 tff(37518,plain,
% 9.15/7.11 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB35)) | (v86(constB35) <=> v148(constB35)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB35)) | (v86(constB35) <=> v148(constB35)))),
% 9.15/7.11 inference(rewrite,[status(thm)],[])).
% 9.15/7.11 tff(37519,plain,
% 9.15/7.11 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB35)) | (v86(constB35) <=> v148(constB35)))),
% 9.15/7.11 inference(quant_inst,[status(thm)],[])).
% 9.15/7.11 tff(37520,plain,
% 9.15/7.11 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB35)) | (v86(constB35) <=> v148(constB35))),
% 9.15/7.11 inference(modus_ponens,[status(thm)],[37519, 37518])).
% 9.15/7.11 tff(37521,plain,
% 9.15/7.11 (v86(constB35) <=> v148(constB35)),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37520, 14818, 37517])).
% 9.15/7.11 tff(37522,plain,
% 9.15/7.11 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB35) | (~v142(constB35)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB35) | (~v142(constB35)))),
% 9.15/7.11 inference(rewrite,[status(thm)],[])).
% 9.15/7.11 tff(37523,plain,
% 9.15/7.11 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB35) | (~v142(constB35)))),
% 9.15/7.11 inference(quant_inst,[status(thm)],[])).
% 9.15/7.11 tff(37524,plain,
% 9.15/7.11 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB35) | (~v142(constB35))),
% 9.15/7.11 inference(modus_ponens,[status(thm)],[37523, 37522])).
% 9.15/7.11 tff(37525,plain,
% 9.15/7.11 (v148(constB35)),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37524, 14832, 28829])).
% 9.15/7.11 tff(37526,plain,
% 9.15/7.11 ((~(v86(constB35) <=> v148(constB35))) | v86(constB35) | (~v148(constB35))),
% 9.15/7.11 inference(tautology,[status(thm)],[])).
% 9.15/7.11 tff(37527,plain,
% 9.15/7.11 ((~(v86(constB35) <=> v148(constB35))) | v86(constB35)),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37526, 37525])).
% 9.15/7.11 tff(37528,plain,
% 9.15/7.11 (v86(constB35)),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37527, 37521])).
% 9.15/7.11 tff(37529,plain,
% 9.15/7.11 ($false),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37528, 37504])).
% 9.15/7.11 tff(37530,plain,(~(constB35 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.15/7.11 tff(37531,assumption,(constB139 = VarCurr!0), introduced(assumption)).
% 9.15/7.11 tff(37532,plain,
% 9.15/7.11 (v86(constB139) <=> v86(VarCurr!0)),
% 9.15/7.11 inference(monotonicity,[status(thm)],[37531])).
% 9.15/7.11 tff(37533,plain,
% 9.15/7.11 (v86(VarCurr!0) <=> v86(constB139)),
% 9.15/7.11 inference(symmetry,[status(thm)],[37532])).
% 9.15/7.11 tff(37534,plain,
% 9.15/7.11 ((~v86(VarCurr!0)) <=> (~v86(constB139))),
% 9.15/7.11 inference(monotonicity,[status(thm)],[37533])).
% 9.15/7.11 tff(37535,plain,
% 9.15/7.11 (~v86(constB139)),
% 9.15/7.11 inference(modus_ponens,[status(thm)],[14736, 37534])).
% 9.15/7.11 tff(37536,plain,
% 9.15/7.11 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB139) <=> (v136(constB139) | v145(constB139)))),
% 9.15/7.11 inference(quant_inst,[status(thm)],[])).
% 9.15/7.11 tff(37537,plain,
% 9.15/7.11 (v135(constB139) <=> (v136(constB139) | v145(constB139))),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37536, 14744])).
% 9.15/7.11 tff(37538,plain,
% 9.15/7.11 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB139) <=> (v137(constB139) | v142(constB139)))),
% 9.15/7.11 inference(quant_inst,[status(thm)],[])).
% 9.15/7.11 tff(37539,plain,
% 9.15/7.11 (v136(constB139) <=> (v137(constB139) | v142(constB139))),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37538, 14753])).
% 9.15/7.11 tff(37540,plain,
% 9.15/7.11 ((v137(constB139) | v142(constB139)) | (~v142(constB139))),
% 9.15/7.11 inference(tautology,[status(thm)],[])).
% 9.15/7.11 tff(37541,plain,
% 9.15/7.11 (v137(constB139) | v142(constB139)),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37540, 36031])).
% 9.15/7.11 tff(37542,plain,
% 9.15/7.11 ((~(v136(constB139) <=> (v137(constB139) | v142(constB139)))) | v136(constB139) | (~(v137(constB139) | v142(constB139)))),
% 9.15/7.11 inference(tautology,[status(thm)],[])).
% 9.15/7.11 tff(37543,plain,
% 9.15/7.11 ((~(v136(constB139) <=> (v137(constB139) | v142(constB139)))) | v136(constB139)),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37542, 37541])).
% 9.15/7.11 tff(37544,plain,
% 9.15/7.11 (v136(constB139)),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37543, 37539])).
% 9.15/7.11 tff(37545,plain,
% 9.15/7.11 ((v136(constB139) | v145(constB139)) | (~v136(constB139))),
% 9.15/7.11 inference(tautology,[status(thm)],[])).
% 9.15/7.11 tff(37546,plain,
% 9.15/7.11 (v136(constB139) | v145(constB139)),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37545, 37544])).
% 9.15/7.11 tff(37547,plain,
% 9.15/7.11 ((~(v135(constB139) <=> (v136(constB139) | v145(constB139)))) | v135(constB139) | (~(v136(constB139) | v145(constB139)))),
% 9.15/7.11 inference(tautology,[status(thm)],[])).
% 9.15/7.11 tff(37548,plain,
% 9.15/7.11 (v135(constB139)),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37547, 37546, 37537])).
% 9.15/7.11 tff(37549,plain,
% 9.15/7.11 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB139)) | (v86(constB139) <=> v148(constB139)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB139)) | (v86(constB139) <=> v148(constB139)))),
% 9.15/7.11 inference(rewrite,[status(thm)],[])).
% 9.15/7.11 tff(37550,plain,
% 9.15/7.11 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB139)) | (v86(constB139) <=> v148(constB139)))),
% 9.15/7.11 inference(quant_inst,[status(thm)],[])).
% 9.15/7.11 tff(37551,plain,
% 9.15/7.11 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB139)) | (v86(constB139) <=> v148(constB139))),
% 9.15/7.11 inference(modus_ponens,[status(thm)],[37550, 37549])).
% 9.15/7.11 tff(37552,plain,
% 9.15/7.11 (v86(constB139) <=> v148(constB139)),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37551, 14818, 37548])).
% 9.15/7.11 tff(37553,plain,
% 9.15/7.11 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB139) | (~v142(constB139)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB139) | (~v142(constB139)))),
% 9.15/7.11 inference(rewrite,[status(thm)],[])).
% 9.15/7.11 tff(37554,plain,
% 9.15/7.11 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB139) | (~v142(constB139)))),
% 9.15/7.11 inference(quant_inst,[status(thm)],[])).
% 9.15/7.11 tff(37555,plain,
% 9.15/7.11 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB139) | (~v142(constB139))),
% 9.15/7.11 inference(modus_ponens,[status(thm)],[37554, 37553])).
% 9.15/7.11 tff(37556,plain,
% 9.15/7.11 (v148(constB139)),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37555, 14832, 36031])).
% 9.15/7.11 tff(37557,plain,
% 9.15/7.11 ((~(v86(constB139) <=> v148(constB139))) | v86(constB139) | (~v148(constB139))),
% 9.15/7.11 inference(tautology,[status(thm)],[])).
% 9.15/7.11 tff(37558,plain,
% 9.15/7.11 ((~(v86(constB139) <=> v148(constB139))) | v86(constB139)),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37557, 37556])).
% 9.15/7.11 tff(37559,plain,
% 9.15/7.11 (v86(constB139)),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37558, 37552])).
% 9.15/7.11 tff(37560,plain,
% 9.15/7.11 ($false),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37559, 37535])).
% 9.15/7.11 tff(37561,plain,(~(constB139 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.15/7.11 tff(37562,assumption,(constB127 = VarCurr!0), introduced(assumption)).
% 9.15/7.11 tff(37563,plain,
% 9.15/7.11 (v193(constB127) <=> v193(VarCurr!0)),
% 9.15/7.11 inference(monotonicity,[status(thm)],[37562])).
% 9.15/7.11 tff(37564,plain,
% 9.15/7.11 (v193(VarCurr!0) <=> v193(constB127)),
% 9.15/7.11 inference(symmetry,[status(thm)],[37563])).
% 9.15/7.11 tff(37565,plain,
% 9.15/7.11 (v193(constB127)),
% 9.15/7.11 inference(modus_ponens,[status(thm)],[59, 37564])).
% 9.15/7.11 tff(37566,plain,
% 9.15/7.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB126, constB127)) | (v193(constB127) <=> v191(constB126)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB126, constB127)) | (v193(constB127) <=> v191(constB126)))),
% 9.15/7.11 inference(rewrite,[status(thm)],[])).
% 9.15/7.11 tff(37567,plain,
% 9.15/7.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB126, constB127)) | (v193(constB127) <=> v191(constB126)))),
% 9.15/7.11 inference(quant_inst,[status(thm)],[])).
% 9.15/7.11 tff(37568,plain,
% 9.15/7.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB126, constB127)) | (v193(constB127) <=> v191(constB126))),
% 9.15/7.11 inference(modus_ponens,[status(thm)],[37567, 37566])).
% 9.15/7.11 tff(37569,plain,
% 9.15/7.11 (v193(constB127) <=> v191(constB126)),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37568, 17180, 70])).
% 9.15/7.11 tff(37570,plain,
% 9.15/7.11 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB126) <=> (v194(constB126) | v198(constB126)))),
% 9.15/7.11 inference(quant_inst,[status(thm)],[])).
% 9.15/7.11 tff(37571,plain,
% 9.15/7.11 (v191(constB126) <=> (v194(constB126) | v198(constB126))),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37570, 84])).
% 9.15/7.11 tff(37572,plain,
% 9.15/7.11 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB126) <=> (~((~v199(constB126)) | (~v200(constB126)))))),
% 9.15/7.11 inference(quant_inst,[status(thm)],[])).
% 9.15/7.11 tff(37573,plain,
% 9.15/7.11 (v198(constB126) <=> (~((~v199(constB126)) | (~v200(constB126))))),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37572, 96])).
% 9.15/7.11 tff(37574,plain,
% 9.15/7.11 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB126) <=> (~((~v197(constB126)) | (~v201(constB126)))))),
% 9.15/7.11 inference(quant_inst,[status(thm)],[])).
% 9.15/7.11 tff(37575,plain,
% 9.15/7.11 (v200(constB126) <=> (~((~v197(constB126)) | (~v201(constB126))))),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37574, 108])).
% 9.15/7.11 tff(37576,plain,
% 9.15/7.11 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB126) <=> (~((~v39(constB126)) | (~v9(constB126)))))),
% 9.15/7.11 inference(quant_inst,[status(thm)],[])).
% 9.15/7.11 tff(37577,plain,
% 9.15/7.11 (v197(constB126) <=> (~((~v39(constB126)) | (~v9(constB126))))),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37576, 120])).
% 9.15/7.11 tff(37578,plain,
% 9.15/7.11 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB126)) <=> v1(constB126))),
% 9.15/7.11 inference(quant_inst,[status(thm)],[])).
% 9.15/7.11 tff(37579,plain,
% 9.15/7.11 ((~v39(constB126)) <=> v1(constB126)),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37578, 129])).
% 9.15/7.11 tff(37580,plain,
% 9.15/7.11 ((~((~v39(constB126)) <=> v1(constB126))) | (~v39(constB126)) | (~v1(constB126))),
% 9.15/7.11 inference(tautology,[status(thm)],[])).
% 9.15/7.11 tff(37581,plain,
% 9.15/7.11 ((~((~v39(constB126)) <=> v1(constB126))) | (~v39(constB126))),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37580, 18427])).
% 9.15/7.11 tff(37582,plain,
% 9.15/7.11 (~v39(constB126)),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37581, 37579])).
% 9.15/7.11 tff(37583,plain,
% 9.15/7.11 (((~v39(constB126)) | (~v9(constB126))) | v39(constB126)),
% 9.15/7.11 inference(tautology,[status(thm)],[])).
% 9.15/7.11 tff(37584,plain,
% 9.15/7.11 ((~v39(constB126)) | (~v9(constB126))),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37583, 37582])).
% 9.15/7.11 tff(37585,plain,
% 9.15/7.11 ((~(v197(constB126) <=> (~((~v39(constB126)) | (~v9(constB126)))))) | (~v197(constB126)) | (~((~v39(constB126)) | (~v9(constB126))))),
% 9.15/7.11 inference(tautology,[status(thm)],[])).
% 9.15/7.11 tff(37586,plain,
% 9.15/7.11 ((~(v197(constB126) <=> (~((~v39(constB126)) | (~v9(constB126)))))) | (~v197(constB126))),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37585, 37584])).
% 9.15/7.11 tff(37587,plain,
% 9.15/7.11 (~v197(constB126)),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37586, 37577])).
% 9.15/7.11 tff(37588,plain,
% 9.15/7.11 (((~v197(constB126)) | (~v201(constB126))) | v197(constB126)),
% 9.15/7.11 inference(tautology,[status(thm)],[])).
% 9.15/7.11 tff(37589,plain,
% 9.15/7.11 ((~v197(constB126)) | (~v201(constB126))),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37588, 37587])).
% 9.15/7.11 tff(37590,plain,
% 9.15/7.11 ((~(v200(constB126) <=> (~((~v197(constB126)) | (~v201(constB126)))))) | (~v200(constB126)) | (~((~v197(constB126)) | (~v201(constB126))))),
% 9.15/7.11 inference(tautology,[status(thm)],[])).
% 9.15/7.11 tff(37591,plain,
% 9.15/7.11 ((~(v200(constB126) <=> (~((~v197(constB126)) | (~v201(constB126)))))) | (~v200(constB126))),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37590, 37589])).
% 9.15/7.11 tff(37592,plain,
% 9.15/7.11 (~v200(constB126)),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37591, 37575])).
% 9.15/7.11 tff(37593,plain,
% 9.15/7.11 (((~v199(constB126)) | (~v200(constB126))) | v200(constB126)),
% 9.15/7.11 inference(tautology,[status(thm)],[])).
% 9.15/7.11 tff(37594,plain,
% 9.15/7.11 ((~v199(constB126)) | (~v200(constB126))),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37593, 37592])).
% 9.15/7.11 tff(37595,plain,
% 9.15/7.11 ((~(v198(constB126) <=> (~((~v199(constB126)) | (~v200(constB126)))))) | (~v198(constB126)) | (~((~v199(constB126)) | (~v200(constB126))))),
% 9.15/7.11 inference(tautology,[status(thm)],[])).
% 9.15/7.11 tff(37596,plain,
% 9.15/7.11 (~v198(constB126)),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37595, 37594, 37573])).
% 9.15/7.11 tff(37597,plain,
% 9.15/7.11 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB126) <=> (~((~v157(constB126)) | (~v195(constB126)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB126) <=> (~((~v157(constB126)) | (~v195(constB126))))))),
% 9.15/7.11 inference(rewrite,[status(thm)],[])).
% 9.15/7.11 tff(37598,plain,
% 9.15/7.11 ((v194(constB126) <=> (~((~v195(constB126)) | (~v157(constB126))))) <=> (v194(constB126) <=> (~((~v157(constB126)) | (~v195(constB126)))))),
% 9.15/7.11 inference(rewrite,[status(thm)],[])).
% 9.15/7.11 tff(37599,plain,
% 9.15/7.11 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB126) <=> (~((~v195(constB126)) | (~v157(constB126)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB126) <=> (~((~v157(constB126)) | (~v195(constB126))))))),
% 9.15/7.11 inference(monotonicity,[status(thm)],[37598])).
% 9.15/7.11 tff(37600,plain,
% 9.15/7.11 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB126) <=> (~((~v195(constB126)) | (~v157(constB126)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB126) <=> (~((~v157(constB126)) | (~v195(constB126))))))),
% 9.15/7.11 inference(transitivity,[status(thm)],[37599, 37597])).
% 9.15/7.11 tff(37601,plain,
% 9.15/7.11 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB126) <=> (~((~v195(constB126)) | (~v157(constB126)))))),
% 9.15/7.11 inference(quant_inst,[status(thm)],[])).
% 9.15/7.11 tff(37602,plain,
% 9.15/7.11 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB126) <=> (~((~v157(constB126)) | (~v195(constB126)))))),
% 9.15/7.11 inference(modus_ponens,[status(thm)],[37601, 37600])).
% 9.15/7.11 tff(37603,plain,
% 9.15/7.11 (v194(constB126) <=> (~((~v157(constB126)) | (~v195(constB126))))),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37602, 161])).
% 9.15/7.11 tff(37604,plain,
% 9.15/7.11 ((~![VarNext: $i] : (v157(VarNext) <=> v193(VarNext))) | (v157(constB126) <=> v193(constB126))),
% 9.15/7.11 inference(quant_inst,[status(thm)],[])).
% 9.15/7.11 tff(37605,plain,
% 9.15/7.11 (v157(constB126) <=> v193(constB126)),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37604, 13])).
% 9.15/7.11 tff(37606,plain,
% 9.15/7.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB125, constB126)) | (v193(constB126) <=> v191(constB125)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB125, constB126)) | (v193(constB126) <=> v191(constB125)))),
% 9.15/7.11 inference(rewrite,[status(thm)],[])).
% 9.15/7.11 tff(37607,plain,
% 9.15/7.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | ((~nextState(constB125, constB126)) | (v193(constB126) <=> v191(constB125)))),
% 9.15/7.11 inference(quant_inst,[status(thm)],[])).
% 9.15/7.11 tff(37608,plain,
% 9.15/7.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v193(VarNext) <=> v191(VarCurr)))) | (~nextState(constB125, constB126)) | (v193(constB126) <=> v191(constB125))),
% 9.15/7.11 inference(modus_ponens,[status(thm)],[37607, 37606])).
% 9.15/7.11 tff(37609,plain,
% 9.15/7.11 (v193(constB126) <=> v191(constB125)),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37608, 17216, 70])).
% 9.15/7.11 tff(37610,plain,
% 9.15/7.11 ((~![VarCurr: $i] : (v191(VarCurr) <=> (v194(VarCurr) | v198(VarCurr)))) | (v191(constB125) <=> (v194(constB125) | v198(constB125)))),
% 9.15/7.11 inference(quant_inst,[status(thm)],[])).
% 9.15/7.11 tff(37611,plain,
% 9.15/7.11 (v191(constB125) <=> (v194(constB125) | v198(constB125))),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37610, 84])).
% 9.15/7.11 tff(37612,plain,
% 9.15/7.11 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB125) <=> (~((~v157(constB125)) | (~v195(constB125)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB125) <=> (~((~v157(constB125)) | (~v195(constB125))))))),
% 9.15/7.11 inference(rewrite,[status(thm)],[])).
% 9.15/7.11 tff(37613,plain,
% 9.15/7.11 ((v194(constB125) <=> (~((~v195(constB125)) | (~v157(constB125))))) <=> (v194(constB125) <=> (~((~v157(constB125)) | (~v195(constB125)))))),
% 9.15/7.11 inference(rewrite,[status(thm)],[])).
% 9.15/7.11 tff(37614,plain,
% 9.15/7.11 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB125) <=> (~((~v195(constB125)) | (~v157(constB125)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB125) <=> (~((~v157(constB125)) | (~v195(constB125))))))),
% 9.15/7.11 inference(monotonicity,[status(thm)],[37613])).
% 9.15/7.11 tff(37615,plain,
% 9.15/7.11 (((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB125) <=> (~((~v195(constB125)) | (~v157(constB125)))))) <=> ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB125) <=> (~((~v157(constB125)) | (~v195(constB125))))))),
% 9.15/7.11 inference(transitivity,[status(thm)],[37614, 37612])).
% 9.15/7.11 tff(37616,plain,
% 9.15/7.11 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB125) <=> (~((~v195(constB125)) | (~v157(constB125)))))),
% 9.15/7.11 inference(quant_inst,[status(thm)],[])).
% 9.15/7.11 tff(37617,plain,
% 9.15/7.11 ((~![VarCurr: $i] : (v194(VarCurr) <=> (~((~v195(VarCurr)) | (~v157(VarCurr)))))) | (v194(constB125) <=> (~((~v157(constB125)) | (~v195(constB125)))))),
% 9.15/7.11 inference(modus_ponens,[status(thm)],[37616, 37615])).
% 9.15/7.11 tff(37618,plain,
% 9.15/7.11 (v194(constB125) <=> (~((~v157(constB125)) | (~v195(constB125))))),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37617, 161])).
% 9.15/7.11 tff(37619,plain,
% 9.15/7.11 ((~![VarCurr: $i] : ((~v195(VarCurr)) <=> v196(VarCurr))) | ((~v195(constB125)) <=> v196(constB125))),
% 9.15/7.11 inference(quant_inst,[status(thm)],[])).
% 9.15/7.11 tff(37620,plain,
% 9.15/7.11 ((~v195(constB125)) <=> v196(constB125)),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37619, 193])).
% 9.15/7.11 tff(37621,plain,
% 9.15/7.11 ((~![VarCurr: $i] : (v196(VarCurr) <=> (v197(VarCurr) | v26(VarCurr)))) | (v196(constB125) <=> (v197(constB125) | v26(constB125)))),
% 9.15/7.11 inference(quant_inst,[status(thm)],[])).
% 9.15/7.11 tff(37622,plain,
% 9.15/7.11 (v196(constB125) <=> (v197(constB125) | v26(constB125))),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37621, 202])).
% 9.15/7.11 tff(37623,plain,
% 9.15/7.11 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(constB125) <=> (~((~v39(constB125)) | (~v9(constB125)))))),
% 9.15/7.11 inference(quant_inst,[status(thm)],[])).
% 9.15/7.11 tff(37624,plain,
% 9.15/7.11 (v197(constB125) <=> (~((~v39(constB125)) | (~v9(constB125))))),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37623, 120])).
% 9.15/7.11 tff(37625,plain,
% 9.15/7.11 (((~![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)))),
% 9.15/7.11 inference(rewrite,[status(thm)],[])).
% 9.15/7.11 tff(37626,plain,
% 9.15/7.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB125, constB126)) | (v13(constB126) <=> v9(constB125)))),
% 9.15/7.11 inference(quant_inst,[status(thm)],[])).
% 9.15/7.11 tff(37627,plain,
% 9.15/7.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB125, constB126)) | (v13(constB126) <=> v9(constB125))),
% 9.15/7.11 inference(modus_ponens,[status(thm)],[37626, 37625])).
% 9.15/7.11 tff(37628,plain,
% 9.15/7.11 (v13(constB126) <=> v9(constB125)),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37627, 17216, 216])).
% 9.15/7.11 tff(37629,plain,
% 9.15/7.11 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB126) <=> v13(constB126))),
% 9.15/7.11 inference(quant_inst,[status(thm)],[])).
% 9.15/7.11 tff(37630,plain,
% 9.15/7.11 (v6(constB126) <=> v13(constB126)),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37629, 230])).
% 9.15/7.11 tff(37631,plain,
% 9.15/7.11 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB126)) <=> v6(constB126))),
% 9.15/7.11 inference(quant_inst,[status(thm)],[])).
% 9.15/7.11 tff(37632,plain,
% 9.15/7.11 ((~v21(constB126)) <=> v6(constB126)),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37631, 239])).
% 9.15/7.11 tff(37633,plain,
% 9.15/7.11 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB126) <=> (v20(constB126) | v21(constB126)))),
% 9.15/7.11 inference(quant_inst,[status(thm)],[])).
% 9.15/7.11 tff(37634,plain,
% 9.15/7.11 (v19(constB126) <=> (v20(constB126) | v21(constB126))),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37633, 248])).
% 9.15/7.11 tff(37635,plain,
% 9.15/7.11 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB126) <=> (~((~v19(constB126)) | (~v22(constB126)))))),
% 9.15/7.11 inference(quant_inst,[status(thm)],[])).
% 9.15/7.11 tff(37636,plain,
% 9.15/7.11 (v18(constB126) <=> (~((~v19(constB126)) | (~v22(constB126))))),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37635, 260])).
% 9.15/7.11 tff(37637,plain,
% 9.15/7.11 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB126)) <=> v18(constB126))),
% 9.15/7.11 inference(quant_inst,[status(thm)],[])).
% 9.15/7.11 tff(37638,plain,
% 9.15/7.11 ((~v4(constB126)) <=> v18(constB126)),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37637, 269])).
% 9.15/7.11 tff(37639,plain,
% 9.15/7.11 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB126)),
% 9.15/7.11 inference(quant_inst,[status(thm)],[])).
% 9.15/7.11 tff(37640,plain,
% 9.15/7.11 (v4(constB126)),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37639, 278])).
% 9.15/7.11 tff(37641,plain,
% 9.15/7.11 ((~((~v4(constB126)) <=> v18(constB126))) | (~v4(constB126)) | (~v18(constB126))),
% 9.15/7.11 inference(tautology,[status(thm)],[])).
% 9.15/7.11 tff(37642,plain,
% 9.15/7.11 (~v18(constB126)),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37641, 37640, 37638])).
% 9.15/7.11 tff(37643,plain,
% 9.15/7.11 ((~(v18(constB126) <=> (~((~v19(constB126)) | (~v22(constB126)))))) | v18(constB126) | ((~v19(constB126)) | (~v22(constB126)))),
% 9.15/7.11 inference(tautology,[status(thm)],[])).
% 9.15/7.11 tff(37644,plain,
% 9.15/7.11 ((~v19(constB126)) | (~v22(constB126))),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37643, 37642, 37636])).
% 9.15/7.11 tff(37645,plain,
% 9.15/7.11 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB126) <=> (v1(constB126) | v6(constB126)))),
% 9.15/7.11 inference(quant_inst,[status(thm)],[])).
% 9.15/7.11 tff(37646,plain,
% 9.15/7.11 (v22(constB126) <=> (v1(constB126) | v6(constB126))),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37645, 291])).
% 9.15/7.11 tff(37647,plain,
% 9.15/7.11 ((v1(constB126) | v6(constB126)) | (~v1(constB126))),
% 9.15/7.11 inference(tautology,[status(thm)],[])).
% 9.15/7.11 tff(37648,plain,
% 9.15/7.11 (v1(constB126) | v6(constB126)),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37647, 18427])).
% 9.15/7.11 tff(37649,plain,
% 9.15/7.11 ((~(v22(constB126) <=> (v1(constB126) | v6(constB126)))) | v22(constB126) | (~(v1(constB126) | v6(constB126)))),
% 9.15/7.11 inference(tautology,[status(thm)],[])).
% 9.15/7.11 tff(37650,plain,
% 9.15/7.11 ((~(v22(constB126) <=> (v1(constB126) | v6(constB126)))) | v22(constB126)),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37649, 37648])).
% 9.15/7.11 tff(37651,plain,
% 9.15/7.11 (v22(constB126)),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37650, 37646])).
% 9.15/7.11 tff(37652,plain,
% 9.15/7.11 ((~((~v19(constB126)) | (~v22(constB126)))) | (~v19(constB126)) | (~v22(constB126))),
% 9.15/7.11 inference(tautology,[status(thm)],[])).
% 9.15/7.11 tff(37653,plain,
% 9.15/7.11 ((~((~v19(constB126)) | (~v22(constB126)))) | (~v19(constB126))),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37652, 37651])).
% 9.15/7.11 tff(37654,plain,
% 9.15/7.11 (~v19(constB126)),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37653, 37644])).
% 9.15/7.11 tff(37655,plain,
% 9.15/7.11 ((~(v19(constB126) <=> (v20(constB126) | v21(constB126)))) | v19(constB126) | (~(v20(constB126) | v21(constB126)))),
% 9.15/7.11 inference(tautology,[status(thm)],[])).
% 9.15/7.11 tff(37656,plain,
% 9.15/7.11 (~(v20(constB126) | v21(constB126))),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37655, 37654, 37634])).
% 9.15/7.11 tff(37657,plain,
% 9.15/7.11 ((v20(constB126) | v21(constB126)) | (~v21(constB126))),
% 9.15/7.11 inference(tautology,[status(thm)],[])).
% 9.15/7.11 tff(37658,plain,
% 9.15/7.11 (~v21(constB126)),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37657, 37656])).
% 9.15/7.11 tff(37659,plain,
% 9.15/7.11 ((~((~v21(constB126)) <=> v6(constB126))) | v21(constB126) | v6(constB126)),
% 9.15/7.11 inference(tautology,[status(thm)],[])).
% 9.15/7.11 tff(37660,plain,
% 9.15/7.11 (v6(constB126)),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37659, 37658, 37632])).
% 9.15/7.11 tff(37661,plain,
% 9.15/7.11 ((~(v6(constB126) <=> v13(constB126))) | (~v6(constB126)) | v13(constB126)),
% 9.15/7.11 inference(tautology,[status(thm)],[])).
% 9.15/7.11 tff(37662,plain,
% 9.15/7.11 (v13(constB126)),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37661, 37660, 37630])).
% 9.15/7.11 tff(37663,plain,
% 9.15/7.11 ((~(v13(constB126) <=> v9(constB125))) | (~v13(constB126)) | v9(constB125)),
% 9.15/7.11 inference(tautology,[status(thm)],[])).
% 9.15/7.11 tff(37664,plain,
% 9.15/7.11 (v9(constB125)),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37663, 37662, 37628])).
% 9.15/7.11 tff(37665,plain,
% 9.15/7.11 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB125)) <=> v1(constB125))),
% 9.15/7.11 inference(quant_inst,[status(thm)],[])).
% 9.15/7.11 tff(37666,plain,
% 9.15/7.11 ((~v39(constB125)) <=> v1(constB125)),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37665, 129])).
% 9.15/7.11 tff(37667,plain,
% 9.15/7.11 ((~((~v39(constB125)) <=> v1(constB125))) | v39(constB125) | v1(constB125)),
% 9.15/7.11 inference(tautology,[status(thm)],[])).
% 9.15/7.11 tff(37668,plain,
% 9.15/7.11 ((~((~v39(constB125)) <=> v1(constB125))) | v39(constB125)),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37667, 17255])).
% 9.15/7.11 tff(37669,plain,
% 9.15/7.11 (v39(constB125)),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37668, 37666])).
% 9.15/7.11 tff(37670,plain,
% 9.15/7.11 ((~((~v39(constB125)) | (~v9(constB125)))) | (~v39(constB125)) | (~v9(constB125))),
% 9.15/7.11 inference(tautology,[status(thm)],[])).
% 9.15/7.11 tff(37671,plain,
% 9.15/7.11 ((~((~v39(constB125)) | (~v9(constB125)))) | (~v9(constB125))),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37670, 37669])).
% 9.15/7.11 tff(37672,plain,
% 9.15/7.11 (~((~v39(constB125)) | (~v9(constB125)))),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37671, 37664])).
% 9.15/7.11 tff(37673,plain,
% 9.15/7.11 ((~(v197(constB125) <=> (~((~v39(constB125)) | (~v9(constB125)))))) | v197(constB125) | ((~v39(constB125)) | (~v9(constB125)))),
% 9.15/7.11 inference(tautology,[status(thm)],[])).
% 9.15/7.11 tff(37674,plain,
% 9.15/7.11 (v197(constB125)),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37673, 37672, 37624])).
% 9.15/7.11 tff(37675,plain,
% 9.15/7.11 ((v197(constB125) | v26(constB125)) | (~v197(constB125))),
% 9.15/7.11 inference(tautology,[status(thm)],[])).
% 9.15/7.11 tff(37676,plain,
% 9.15/7.11 (v197(constB125) | v26(constB125)),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37675, 37674])).
% 9.15/7.11 tff(37677,plain,
% 9.15/7.11 ((~(v196(constB125) <=> (v197(constB125) | v26(constB125)))) | v196(constB125) | (~(v197(constB125) | v26(constB125)))),
% 9.15/7.11 inference(tautology,[status(thm)],[])).
% 9.15/7.11 tff(37678,plain,
% 9.15/7.11 (v196(constB125)),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37677, 37676, 37622])).
% 9.15/7.11 tff(37679,plain,
% 9.15/7.11 ((~((~v195(constB125)) <=> v196(constB125))) | (~v195(constB125)) | (~v196(constB125))),
% 9.15/7.11 inference(tautology,[status(thm)],[])).
% 9.15/7.11 tff(37680,plain,
% 9.15/7.11 (~v195(constB125)),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37679, 37678, 37620])).
% 9.15/7.11 tff(37681,plain,
% 9.15/7.11 (((~v157(constB125)) | (~v195(constB125))) | v195(constB125)),
% 9.15/7.11 inference(tautology,[status(thm)],[])).
% 9.15/7.11 tff(37682,plain,
% 9.15/7.11 ((~v157(constB125)) | (~v195(constB125))),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37681, 37680])).
% 9.15/7.11 tff(37683,plain,
% 9.15/7.11 ((~(v194(constB125) <=> (~((~v157(constB125)) | (~v195(constB125)))))) | (~v194(constB125)) | (~((~v157(constB125)) | (~v195(constB125))))),
% 9.15/7.11 inference(tautology,[status(thm)],[])).
% 9.15/7.11 tff(37684,plain,
% 9.15/7.11 (~v194(constB125)),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37683, 37682, 37618])).
% 9.15/7.11 tff(37685,plain,
% 9.15/7.11 ((~![VarCurr: $i] : (v198(VarCurr) <=> (~((~v199(VarCurr)) | (~v200(VarCurr)))))) | (v198(constB125) <=> (~((~v199(constB125)) | (~v200(constB125)))))),
% 9.15/7.11 inference(quant_inst,[status(thm)],[])).
% 9.15/7.11 tff(37686,plain,
% 9.15/7.11 (v198(constB125) <=> (~((~v199(constB125)) | (~v200(constB125))))),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37685, 96])).
% 9.15/7.11 tff(37687,plain,
% 9.15/7.11 ((~![VarCurr: $i] : (v200(VarCurr) <=> (~((~v197(VarCurr)) | (~v201(VarCurr)))))) | (v200(constB125) <=> (~((~v197(constB125)) | (~v201(constB125)))))),
% 9.15/7.11 inference(quant_inst,[status(thm)],[])).
% 9.15/7.11 tff(37688,plain,
% 9.15/7.11 (v200(constB125) <=> (~((~v197(constB125)) | (~v201(constB125))))),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37687, 108])).
% 9.15/7.11 tff(37689,plain,
% 9.15/7.11 ((~![VarCurr: $i] : (v201(VarCurr) <=> (~((~v159(VarCurr)) | (~v161(VarCurr)))))) | (v201(constB125) <=> (~((~v159(constB125)) | (~v161(constB125)))))),
% 9.15/7.11 inference(quant_inst,[status(thm)],[])).
% 9.15/7.11 tff(37690,plain,
% 9.15/7.11 (v201(constB125) <=> (~((~v159(constB125)) | (~v161(constB125))))),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37689, 348])).
% 9.15/7.11 tff(37691,plain,
% 9.15/7.11 ((~![VarCurr: $i] : (v161(VarCurr) <=> v163(VarCurr))) | (v161(constB125) <=> v163(constB125))),
% 9.15/7.11 inference(quant_inst,[status(thm)],[])).
% 9.15/7.11 tff(37692,plain,
% 9.15/7.11 (v161(constB125) <=> v163(constB125)),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37691, 357])).
% 9.15/7.11 tff(37693,plain,
% 9.15/7.11 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v145(VarCurr) | v167(VarCurr)))) | (v166(constB125) <=> (v145(constB125) | v167(constB125)))),
% 9.15/7.11 inference(quant_inst,[status(thm)],[])).
% 9.15/7.11 tff(37694,plain,
% 9.15/7.11 (v166(constB125) <=> (v145(constB125) | v167(constB125))),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37693, 369])).
% 9.15/7.11 tff(37695,plain,
% 9.15/7.11 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v142(VarCurr) | v168(VarCurr)))) | (v167(constB125) <=> (v142(constB125) | v168(constB125)))),
% 9.15/7.11 inference(quant_inst,[status(thm)],[])).
% 9.15/7.11 tff(37696,plain,
% 9.15/7.11 (v167(constB125) <=> (v142(constB125) | v168(constB125))),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37695, 381])).
% 9.15/7.11 tff(37697,plain,
% 9.15/7.11 ((v142(constB125) | v168(constB125)) | (~v142(constB125))),
% 9.15/7.11 inference(tautology,[status(thm)],[])).
% 9.15/7.11 tff(37698,plain,
% 9.15/7.11 (v142(constB125) | v168(constB125)),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37697, 34420])).
% 9.15/7.11 tff(37699,plain,
% 9.15/7.11 ((~(v167(constB125) <=> (v142(constB125) | v168(constB125)))) | v167(constB125) | (~(v142(constB125) | v168(constB125)))),
% 9.15/7.11 inference(tautology,[status(thm)],[])).
% 9.15/7.11 tff(37700,plain,
% 9.15/7.11 ((~(v167(constB125) <=> (v142(constB125) | v168(constB125)))) | v167(constB125)),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37699, 37698])).
% 9.15/7.11 tff(37701,plain,
% 9.15/7.11 (v167(constB125)),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37700, 37696])).
% 9.15/7.11 tff(37702,plain,
% 9.15/7.11 ((v145(constB125) | v167(constB125)) | (~v167(constB125))),
% 9.15/7.11 inference(tautology,[status(thm)],[])).
% 9.15/7.11 tff(37703,plain,
% 9.15/7.11 (v145(constB125) | v167(constB125)),
% 9.15/7.11 inference(unit_resolution,[status(thm)],[37702, 37701])).
% 9.15/7.11 tff(37704,plain,
% 9.15/7.11 ((~(v166(constB125) <=> (v145(constB125) | v167(constB125)))) | v166(constB125) | (~(v145(constB125) | v167(constB125)))),
% 9.20/7.12 inference(tautology,[status(thm)],[])).
% 9.20/7.12 tff(37705,plain,
% 9.20/7.12 (v166(constB125)),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[37704, 37703, 37694])).
% 9.20/7.12 tff(37706,plain,
% 9.20/7.12 (((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB125)) | (v163(constB125) <=> v170(constB125)))) <=> ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB125)) | (v163(constB125) <=> v170(constB125)))),
% 9.20/7.12 inference(rewrite,[status(thm)],[])).
% 9.20/7.12 tff(37707,plain,
% 9.20/7.12 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | ((~v166(constB125)) | (v163(constB125) <=> v170(constB125)))),
% 9.20/7.12 inference(quant_inst,[status(thm)],[])).
% 9.20/7.12 tff(37708,plain,
% 9.20/7.12 ((~![VarNext: $i] : ((~v166(VarNext)) | (v163(VarNext) <=> v170(VarNext)))) | (~v166(constB125)) | (v163(constB125) <=> v170(constB125))),
% 9.20/7.12 inference(modus_ponens,[status(thm)],[37707, 37706])).
% 9.20/7.12 tff(37709,plain,
% 9.20/7.12 ((~v166(constB125)) | (v163(constB125) <=> v170(constB125))),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[37708, 9851])).
% 9.20/7.12 tff(37710,plain,
% 9.20/7.12 (v163(constB125) <=> v170(constB125)),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[37709, 37705])).
% 9.20/7.12 tff(37711,plain,
% 9.20/7.12 ((~![VarCurr: $i] : (v171(VarCurr) <=> (v142(VarCurr) | v150(VarCurr)))) | (v171(constB125) <=> (v142(constB125) | v150(constB125)))),
% 9.20/7.12 inference(quant_inst,[status(thm)],[])).
% 9.20/7.12 tff(37712,plain,
% 9.20/7.12 (v171(constB125) <=> (v142(constB125) | v150(constB125))),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[37711, 9866])).
% 9.20/7.12 tff(37713,plain,
% 9.20/7.12 ((v142(constB125) | v150(constB125)) | (~v142(constB125))),
% 9.20/7.12 inference(tautology,[status(thm)],[])).
% 9.20/7.12 tff(37714,plain,
% 9.20/7.12 (v142(constB125) | v150(constB125)),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[37713, 34420])).
% 9.20/7.12 tff(37715,plain,
% 9.20/7.12 ((~(v171(constB125) <=> (v142(constB125) | v150(constB125)))) | v171(constB125) | (~(v142(constB125) | v150(constB125)))),
% 9.20/7.12 inference(tautology,[status(thm)],[])).
% 9.20/7.12 tff(37716,plain,
% 9.20/7.12 ((~(v171(constB125) <=> (v142(constB125) | v150(constB125)))) | v171(constB125)),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[37715, 37714])).
% 9.20/7.12 tff(37717,plain,
% 9.20/7.12 (v171(constB125)),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[37716, 37712])).
% 9.20/7.12 tff(37718,plain,
% 9.20/7.12 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB125)) | (~v171(constB125)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB125)) | (~v171(constB125)))),
% 9.20/7.12 inference(rewrite,[status(thm)],[])).
% 9.20/7.12 tff(37719,plain,
% 9.20/7.12 (((~v171(constB125)) | (~v170(constB125))) <=> ((~v170(constB125)) | (~v171(constB125)))),
% 9.20/7.12 inference(rewrite,[status(thm)],[])).
% 9.20/7.12 tff(37720,plain,
% 9.20/7.12 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB125)) | (~v170(constB125)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v170(constB125)) | (~v171(constB125))))),
% 9.20/7.12 inference(monotonicity,[status(thm)],[37719])).
% 9.20/7.12 tff(37721,plain,
% 9.20/7.12 (((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB125)) | (~v170(constB125)))) <=> ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB125)) | (~v171(constB125)))),
% 9.20/7.12 inference(transitivity,[status(thm)],[37720, 37718])).
% 9.20/7.12 tff(37722,plain,
% 9.20/7.12 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | ((~v171(constB125)) | (~v170(constB125)))),
% 9.20/7.12 inference(quant_inst,[status(thm)],[])).
% 9.20/7.12 tff(37723,plain,
% 9.20/7.12 ((~![VarCurr: $i] : ((~v171(VarCurr)) | (~v170(VarCurr)))) | (~v170(constB125)) | (~v171(constB125))),
% 9.20/7.12 inference(modus_ponens,[status(thm)],[37722, 37721])).
% 9.20/7.12 tff(37724,plain,
% 9.20/7.12 (~v170(constB125)),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[37723, 9899, 37717])).
% 9.20/7.12 tff(37725,plain,
% 9.20/7.12 ((~(v163(constB125) <=> v170(constB125))) | (~v163(constB125)) | v170(constB125)),
% 9.20/7.12 inference(tautology,[status(thm)],[])).
% 9.20/7.12 tff(37726,plain,
% 9.20/7.12 (~v163(constB125)),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[37725, 37724, 37710])).
% 9.20/7.12 tff(37727,plain,
% 9.20/7.12 ((~(v161(constB125) <=> v163(constB125))) | (~v161(constB125)) | v163(constB125)),
% 9.20/7.12 inference(tautology,[status(thm)],[])).
% 9.20/7.12 tff(37728,plain,
% 9.20/7.12 (~v161(constB125)),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[37727, 37726, 37692])).
% 9.20/7.12 tff(37729,plain,
% 9.20/7.12 (((~v159(constB125)) | (~v161(constB125))) | v161(constB125)),
% 9.20/7.12 inference(tautology,[status(thm)],[])).
% 9.20/7.12 tff(37730,plain,
% 9.20/7.12 ((~v159(constB125)) | (~v161(constB125))),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[37729, 37728])).
% 9.20/7.12 tff(37731,plain,
% 9.20/7.12 ((~(v201(constB125) <=> (~((~v159(constB125)) | (~v161(constB125)))))) | (~v201(constB125)) | (~((~v159(constB125)) | (~v161(constB125))))),
% 9.20/7.12 inference(tautology,[status(thm)],[])).
% 9.20/7.12 tff(37732,plain,
% 9.20/7.12 (~v201(constB125)),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[37731, 37730, 37690])).
% 9.20/7.12 tff(37733,plain,
% 9.20/7.12 (((~v197(constB125)) | (~v201(constB125))) | v201(constB125)),
% 9.20/7.12 inference(tautology,[status(thm)],[])).
% 9.20/7.12 tff(37734,plain,
% 9.20/7.12 ((~v197(constB125)) | (~v201(constB125))),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[37733, 37732])).
% 9.20/7.12 tff(37735,plain,
% 9.20/7.12 ((~(v200(constB125) <=> (~((~v197(constB125)) | (~v201(constB125)))))) | (~v200(constB125)) | (~((~v197(constB125)) | (~v201(constB125))))),
% 9.20/7.12 inference(tautology,[status(thm)],[])).
% 9.20/7.12 tff(37736,plain,
% 9.20/7.12 (~v200(constB125)),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[37735, 37734, 37688])).
% 9.20/7.12 tff(37737,plain,
% 9.20/7.12 (((~v199(constB125)) | (~v200(constB125))) | v200(constB125)),
% 9.20/7.12 inference(tautology,[status(thm)],[])).
% 9.20/7.12 tff(37738,plain,
% 9.20/7.12 ((~v199(constB125)) | (~v200(constB125))),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[37737, 37736])).
% 9.20/7.12 tff(37739,plain,
% 9.20/7.12 ((~(v198(constB125) <=> (~((~v199(constB125)) | (~v200(constB125)))))) | (~v198(constB125)) | (~((~v199(constB125)) | (~v200(constB125))))),
% 9.20/7.12 inference(tautology,[status(thm)],[])).
% 9.20/7.12 tff(37740,plain,
% 9.20/7.12 (~v198(constB125)),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[37739, 37738, 37686])).
% 9.20/7.12 tff(37741,plain,
% 9.20/7.12 ((~(v194(constB125) | v198(constB125))) | v194(constB125) | v198(constB125)),
% 9.20/7.12 inference(tautology,[status(thm)],[])).
% 9.20/7.12 tff(37742,plain,
% 9.20/7.12 (~(v194(constB125) | v198(constB125))),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[37741, 37740, 37684])).
% 9.20/7.12 tff(37743,plain,
% 9.20/7.12 ((~(v191(constB125) <=> (v194(constB125) | v198(constB125)))) | (~v191(constB125)) | (v194(constB125) | v198(constB125))),
% 9.20/7.12 inference(tautology,[status(thm)],[])).
% 9.20/7.12 tff(37744,plain,
% 9.20/7.12 (~v191(constB125)),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[37743, 37742, 37611])).
% 9.20/7.12 tff(37745,plain,
% 9.20/7.12 ((~(v193(constB126) <=> v191(constB125))) | (~v193(constB126)) | v191(constB125)),
% 9.20/7.12 inference(tautology,[status(thm)],[])).
% 9.20/7.12 tff(37746,plain,
% 9.20/7.12 (~v193(constB126)),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[37745, 37744, 37609])).
% 9.20/7.12 tff(37747,plain,
% 9.20/7.12 ((~(v157(constB126) <=> v193(constB126))) | (~v157(constB126)) | v193(constB126)),
% 9.20/7.12 inference(tautology,[status(thm)],[])).
% 9.20/7.12 tff(37748,plain,
% 9.20/7.12 (~v157(constB126)),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[37747, 37746, 37605])).
% 9.20/7.12 tff(37749,plain,
% 9.20/7.12 (((~v157(constB126)) | (~v195(constB126))) | v157(constB126)),
% 9.20/7.12 inference(tautology,[status(thm)],[])).
% 9.20/7.12 tff(37750,plain,
% 9.20/7.12 ((~v157(constB126)) | (~v195(constB126))),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[37749, 37748])).
% 9.20/7.12 tff(37751,plain,
% 9.20/7.12 ((~(v194(constB126) <=> (~((~v157(constB126)) | (~v195(constB126)))))) | (~v194(constB126)) | (~((~v157(constB126)) | (~v195(constB126))))),
% 9.20/7.12 inference(tautology,[status(thm)],[])).
% 9.20/7.12 tff(37752,plain,
% 9.20/7.12 (~v194(constB126)),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[37751, 37750, 37603])).
% 9.20/7.12 tff(37753,plain,
% 9.20/7.12 ((~(v194(constB126) | v198(constB126))) | v194(constB126) | v198(constB126)),
% 9.20/7.12 inference(tautology,[status(thm)],[])).
% 9.20/7.12 tff(37754,plain,
% 9.20/7.12 (~(v194(constB126) | v198(constB126))),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[37753, 37752, 37596])).
% 9.20/7.12 tff(37755,plain,
% 9.20/7.12 ((~(v191(constB126) <=> (v194(constB126) | v198(constB126)))) | (~v191(constB126)) | (v194(constB126) | v198(constB126))),
% 9.20/7.12 inference(tautology,[status(thm)],[])).
% 9.20/7.12 tff(37756,plain,
% 9.20/7.12 (~v191(constB126)),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[37755, 37754, 37571])).
% 9.20/7.12 tff(37757,plain,
% 9.20/7.12 ((~(v193(constB127) <=> v191(constB126))) | (~v193(constB127)) | v191(constB126)),
% 9.20/7.12 inference(tautology,[status(thm)],[])).
% 9.20/7.12 tff(37758,plain,
% 9.20/7.12 (~v193(constB127)),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[37757, 37756, 37569])).
% 9.20/7.12 tff(37759,plain,
% 9.20/7.12 ($false),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[37758, 37565])).
% 9.20/7.12 tff(37760,plain,(~(constB127 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.12 tff(37761,assumption,(constB5 = VarCurr!0), introduced(assumption)).
% 9.20/7.12 tff(37762,plain,
% 9.20/7.12 (v86(constB5) <=> v86(VarCurr!0)),
% 9.20/7.12 inference(monotonicity,[status(thm)],[37761])).
% 9.20/7.12 tff(37763,plain,
% 9.20/7.12 (v86(VarCurr!0) <=> v86(constB5)),
% 9.20/7.12 inference(symmetry,[status(thm)],[37762])).
% 9.20/7.12 tff(37764,plain,
% 9.20/7.12 ((~v86(VarCurr!0)) <=> (~v86(constB5))),
% 9.20/7.12 inference(monotonicity,[status(thm)],[37763])).
% 9.20/7.12 tff(37765,plain,
% 9.20/7.12 (~v86(constB5)),
% 9.20/7.12 inference(modus_ponens,[status(thm)],[14736, 37764])).
% 9.20/7.12 tff(37766,plain,
% 9.20/7.12 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB5) <=> (v136(constB5) | v145(constB5)))),
% 9.20/7.12 inference(quant_inst,[status(thm)],[])).
% 9.20/7.12 tff(37767,plain,
% 9.20/7.12 (v135(constB5) <=> (v136(constB5) | v145(constB5))),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[37766, 14744])).
% 9.20/7.12 tff(37768,plain,
% 9.20/7.12 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB5) <=> (v137(constB5) | v142(constB5)))),
% 9.20/7.12 inference(quant_inst,[status(thm)],[])).
% 9.20/7.12 tff(37769,plain,
% 9.20/7.12 (v136(constB5) <=> (v137(constB5) | v142(constB5))),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[37768, 14753])).
% 9.20/7.12 tff(37770,plain,
% 9.20/7.12 ((v137(constB5) | v142(constB5)) | (~v142(constB5))),
% 9.20/7.12 inference(tautology,[status(thm)],[])).
% 9.20/7.12 tff(37771,plain,
% 9.20/7.12 (v137(constB5) | v142(constB5)),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[37770, 35770])).
% 9.20/7.12 tff(37772,plain,
% 9.20/7.12 ((~(v136(constB5) <=> (v137(constB5) | v142(constB5)))) | v136(constB5) | (~(v137(constB5) | v142(constB5)))),
% 9.20/7.12 inference(tautology,[status(thm)],[])).
% 9.20/7.12 tff(37773,plain,
% 9.20/7.12 ((~(v136(constB5) <=> (v137(constB5) | v142(constB5)))) | v136(constB5)),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[37772, 37771])).
% 9.20/7.12 tff(37774,plain,
% 9.20/7.12 (v136(constB5)),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[37773, 37769])).
% 9.20/7.12 tff(37775,plain,
% 9.20/7.12 ((v136(constB5) | v145(constB5)) | (~v136(constB5))),
% 9.20/7.12 inference(tautology,[status(thm)],[])).
% 9.20/7.12 tff(37776,plain,
% 9.20/7.12 (v136(constB5) | v145(constB5)),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[37775, 37774])).
% 9.20/7.12 tff(37777,plain,
% 9.20/7.12 ((~(v135(constB5) <=> (v136(constB5) | v145(constB5)))) | v135(constB5) | (~(v136(constB5) | v145(constB5)))),
% 9.20/7.12 inference(tautology,[status(thm)],[])).
% 9.20/7.12 tff(37778,plain,
% 9.20/7.12 (v135(constB5)),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[37777, 37776, 37767])).
% 9.20/7.12 tff(37779,plain,
% 9.20/7.12 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB5)) | (v86(constB5) <=> v148(constB5)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB5)) | (v86(constB5) <=> v148(constB5)))),
% 9.20/7.12 inference(rewrite,[status(thm)],[])).
% 9.20/7.12 tff(37780,plain,
% 9.20/7.12 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB5)) | (v86(constB5) <=> v148(constB5)))),
% 9.20/7.12 inference(quant_inst,[status(thm)],[])).
% 9.20/7.12 tff(37781,plain,
% 9.20/7.12 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB5)) | (v86(constB5) <=> v148(constB5))),
% 9.20/7.12 inference(modus_ponens,[status(thm)],[37780, 37779])).
% 9.20/7.12 tff(37782,plain,
% 9.20/7.12 (v86(constB5) <=> v148(constB5)),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[37781, 14818, 37778])).
% 9.20/7.12 tff(37783,plain,
% 9.20/7.12 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB5) | (~v142(constB5)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB5) | (~v142(constB5)))),
% 9.20/7.12 inference(rewrite,[status(thm)],[])).
% 9.20/7.12 tff(37784,plain,
% 9.20/7.12 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB5) | (~v142(constB5)))),
% 9.20/7.12 inference(quant_inst,[status(thm)],[])).
% 9.20/7.12 tff(37785,plain,
% 9.20/7.12 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB5) | (~v142(constB5))),
% 9.20/7.12 inference(modus_ponens,[status(thm)],[37784, 37783])).
% 9.20/7.12 tff(37786,plain,
% 9.20/7.12 (v148(constB5)),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[37785, 14832, 35770])).
% 9.20/7.12 tff(37787,plain,
% 9.20/7.12 ((~(v86(constB5) <=> v148(constB5))) | v86(constB5) | (~v148(constB5))),
% 9.20/7.12 inference(tautology,[status(thm)],[])).
% 9.20/7.12 tff(37788,plain,
% 9.20/7.12 ((~(v86(constB5) <=> v148(constB5))) | v86(constB5)),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[37787, 37786])).
% 9.20/7.12 tff(37789,plain,
% 9.20/7.12 (v86(constB5)),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[37788, 37782])).
% 9.20/7.12 tff(37790,plain,
% 9.20/7.12 ($false),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[37789, 37765])).
% 9.20/7.12 tff(37791,plain,(~(constB5 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.12 tff(37792,assumption,(constB70 = VarCurr!0), introduced(assumption)).
% 9.20/7.12 tff(37793,plain,
% 9.20/7.12 (v1(constB70) <=> v1(VarCurr!0)),
% 9.20/7.12 inference(monotonicity,[status(thm)],[37792])).
% 9.20/7.12 tff(37794,plain,
% 9.20/7.12 (v1(VarCurr!0) <=> v1(constB70)),
% 9.20/7.12 inference(symmetry,[status(thm)],[37793])).
% 9.20/7.12 tff(37795,plain,
% 9.20/7.12 ((~v1(VarCurr!0)) <=> (~v1(constB70))),
% 9.20/7.12 inference(monotonicity,[status(thm)],[37794])).
% 9.20/7.12 tff(37796,plain,
% 9.20/7.12 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(VarCurr!0)) <=> v1(VarCurr!0))),
% 9.20/7.12 inference(quant_inst,[status(thm)],[])).
% 9.20/7.12 tff(37797,plain,
% 9.20/7.12 ((~v39(VarCurr!0)) <=> v1(VarCurr!0)),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[37796, 129])).
% 9.20/7.12 tff(37798,plain,
% 9.20/7.12 ((~![VarCurr: $i] : (v197(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v197(VarCurr!0) <=> (~((~v39(VarCurr!0)) | (~v9(VarCurr!0)))))),
% 9.20/7.12 inference(quant_inst,[status(thm)],[])).
% 9.20/7.12 tff(37799,plain,
% 9.20/7.12 (v197(VarCurr!0) <=> (~((~v39(VarCurr!0)) | (~v9(VarCurr!0))))),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[37798, 120])).
% 9.20/7.12 tff(37800,plain,
% 9.20/7.12 (((~v197(VarCurr!0)) | (~v208(VarCurr!0))) | v197(VarCurr!0)),
% 9.20/7.12 inference(tautology,[status(thm)],[])).
% 9.20/7.12 tff(37801,plain,
% 9.20/7.12 (v197(VarCurr!0)),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[37800, 14728])).
% 9.20/7.12 tff(37802,plain,
% 9.20/7.12 ((~(v197(VarCurr!0) <=> (~((~v39(VarCurr!0)) | (~v9(VarCurr!0)))))) | (~v197(VarCurr!0)) | (~((~v39(VarCurr!0)) | (~v9(VarCurr!0))))),
% 9.20/7.12 inference(tautology,[status(thm)],[])).
% 9.20/7.12 tff(37803,plain,
% 9.20/7.12 ((~(v197(VarCurr!0) <=> (~((~v39(VarCurr!0)) | (~v9(VarCurr!0)))))) | (~((~v39(VarCurr!0)) | (~v9(VarCurr!0))))),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[37802, 37801])).
% 9.20/7.12 tff(37804,plain,
% 9.20/7.12 (~((~v39(VarCurr!0)) | (~v9(VarCurr!0)))),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[37803, 37799])).
% 9.20/7.12 tff(37805,plain,
% 9.20/7.12 (((~v39(VarCurr!0)) | (~v9(VarCurr!0))) | v39(VarCurr!0)),
% 9.20/7.12 inference(tautology,[status(thm)],[])).
% 9.20/7.12 tff(37806,plain,
% 9.20/7.12 (v39(VarCurr!0)),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[37805, 37804])).
% 9.20/7.12 tff(37807,plain,
% 9.20/7.12 ((~((~v39(VarCurr!0)) <=> v1(VarCurr!0))) | (~v39(VarCurr!0)) | (~v1(VarCurr!0))),
% 9.20/7.12 inference(tautology,[status(thm)],[])).
% 9.20/7.12 tff(37808,plain,
% 9.20/7.12 ((~((~v39(VarCurr!0)) <=> v1(VarCurr!0))) | (~v1(VarCurr!0))),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[37807, 37806])).
% 9.20/7.12 tff(37809,plain,
% 9.20/7.12 (~v1(VarCurr!0)),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[37808, 37797])).
% 9.20/7.12 tff(37810,plain,
% 9.20/7.12 (~v1(constB70)),
% 9.20/7.12 inference(modus_ponens,[status(thm)],[37809, 37795])).
% 9.20/7.12 tff(37811,plain,
% 9.20/7.12 ($false),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[8903, 37810])).
% 9.20/7.12 tff(37812,plain,(~(constB70 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.12 tff(37813,assumption,(constB26 = VarCurr!0), introduced(assumption)).
% 9.20/7.12 tff(37814,plain,
% 9.20/7.12 (v1(constB26) <=> v1(VarCurr!0)),
% 9.20/7.12 inference(monotonicity,[status(thm)],[37813])).
% 9.20/7.12 tff(37815,plain,
% 9.20/7.12 (v1(VarCurr!0) <=> v1(constB26)),
% 9.20/7.12 inference(symmetry,[status(thm)],[37814])).
% 9.20/7.12 tff(37816,plain,
% 9.20/7.12 ((~v1(VarCurr!0)) <=> (~v1(constB26))),
% 9.20/7.12 inference(monotonicity,[status(thm)],[37815])).
% 9.20/7.12 tff(37817,plain,
% 9.20/7.12 (~v1(constB26)),
% 9.20/7.12 inference(modus_ponens,[status(thm)],[37809, 37816])).
% 9.20/7.12 tff(37818,plain,
% 9.20/7.12 ($false),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[5389, 37817])).
% 9.20/7.12 tff(37819,plain,(~(constB26 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.12 tff(37820,assumption,(constB64 = VarCurr!0), introduced(assumption)).
% 9.20/7.12 tff(37821,plain,
% 9.20/7.12 (v1(constB64) <=> v1(VarCurr!0)),
% 9.20/7.12 inference(monotonicity,[status(thm)],[37820])).
% 9.20/7.12 tff(37822,plain,
% 9.20/7.12 (v1(VarCurr!0) <=> v1(constB64)),
% 9.20/7.12 inference(symmetry,[status(thm)],[37821])).
% 9.20/7.12 tff(37823,plain,
% 9.20/7.12 ((~v1(VarCurr!0)) <=> (~v1(constB64))),
% 9.20/7.12 inference(monotonicity,[status(thm)],[37822])).
% 9.20/7.12 tff(37824,plain,
% 9.20/7.12 (~v1(constB64)),
% 9.20/7.12 inference(modus_ponens,[status(thm)],[37809, 37823])).
% 9.20/7.12 tff(37825,plain,
% 9.20/7.12 ($false),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[8409, 37824])).
% 9.20/7.12 tff(37826,plain,(~(constB64 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.12 tff(37827,assumption,(constB14 = VarCurr!0), introduced(assumption)).
% 9.20/7.12 tff(37828,plain,
% 9.20/7.12 (v1(constB14) <=> v1(VarCurr!0)),
% 9.20/7.12 inference(monotonicity,[status(thm)],[37827])).
% 9.20/7.12 tff(37829,plain,
% 9.20/7.12 (v1(VarCurr!0) <=> v1(constB14)),
% 9.20/7.12 inference(symmetry,[status(thm)],[37828])).
% 9.20/7.12 tff(37830,plain,
% 9.20/7.12 ((~v1(VarCurr!0)) <=> (~v1(constB14))),
% 9.20/7.12 inference(monotonicity,[status(thm)],[37829])).
% 9.20/7.12 tff(37831,plain,
% 9.20/7.12 (~v1(constB14)),
% 9.20/7.12 inference(modus_ponens,[status(thm)],[37809, 37830])).
% 9.20/7.12 tff(37832,plain,
% 9.20/7.12 ($false),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[4410, 37831])).
% 9.20/7.12 tff(37833,plain,(~(constB14 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.12 tff(37834,assumption,(constB58 = VarCurr!0), introduced(assumption)).
% 9.20/7.12 tff(37835,plain,
% 9.20/7.12 (v1(constB58) <=> v1(VarCurr!0)),
% 9.20/7.12 inference(monotonicity,[status(thm)],[37834])).
% 9.20/7.12 tff(37836,plain,
% 9.20/7.12 (v1(VarCurr!0) <=> v1(constB58)),
% 9.20/7.12 inference(symmetry,[status(thm)],[37835])).
% 9.20/7.12 tff(37837,plain,
% 9.20/7.12 ((~v1(VarCurr!0)) <=> (~v1(constB58))),
% 9.20/7.12 inference(monotonicity,[status(thm)],[37836])).
% 9.20/7.12 tff(37838,plain,
% 9.20/7.12 (~v1(constB58)),
% 9.20/7.12 inference(modus_ponens,[status(thm)],[37809, 37837])).
% 9.20/7.12 tff(37839,plain,
% 9.20/7.12 ($false),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[7944, 37838])).
% 9.20/7.12 tff(37840,plain,(~(constB58 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.12 tff(37841,assumption,(constB48 = VarCurr!0), introduced(assumption)).
% 9.20/7.12 tff(37842,plain,
% 9.20/7.12 (v1(constB48) <=> v1(VarCurr!0)),
% 9.20/7.12 inference(monotonicity,[status(thm)],[37841])).
% 9.20/7.12 tff(37843,plain,
% 9.20/7.12 (v1(VarCurr!0) <=> v1(constB48)),
% 9.20/7.12 inference(symmetry,[status(thm)],[37842])).
% 9.20/7.12 tff(37844,plain,
% 9.20/7.12 ((~v1(VarCurr!0)) <=> (~v1(constB48))),
% 9.20/7.12 inference(monotonicity,[status(thm)],[37843])).
% 9.20/7.12 tff(37845,plain,
% 9.20/7.12 (~v1(constB48)),
% 9.20/7.12 inference(modus_ponens,[status(thm)],[37809, 37844])).
% 9.20/7.12 tff(37846,plain,
% 9.20/7.12 ($false),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[7146, 37845])).
% 9.20/7.12 tff(37847,plain,(~(constB48 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.12 tff(37848,assumption,(constB50 = VarCurr!0), introduced(assumption)).
% 9.20/7.12 tff(37849,plain,
% 9.20/7.12 (v1(constB50) <=> v1(VarCurr!0)),
% 9.20/7.12 inference(monotonicity,[status(thm)],[37848])).
% 9.20/7.12 tff(37850,plain,
% 9.20/7.12 (v1(VarCurr!0) <=> v1(constB50)),
% 9.20/7.12 inference(symmetry,[status(thm)],[37849])).
% 9.20/7.12 tff(37851,plain,
% 9.20/7.12 ((~v1(VarCurr!0)) <=> (~v1(constB50))),
% 9.20/7.12 inference(monotonicity,[status(thm)],[37850])).
% 9.20/7.12 tff(37852,plain,
% 9.20/7.12 (~v1(constB50)),
% 9.20/7.12 inference(modus_ponens,[status(thm)],[37809, 37851])).
% 9.20/7.12 tff(37853,plain,
% 9.20/7.12 ($false),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[7304, 37852])).
% 9.20/7.12 tff(37854,plain,(~(constB50 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.12 tff(37855,assumption,(constB192 = VarCurr!0), introduced(assumption)).
% 9.20/7.12 tff(37856,plain,
% 9.20/7.12 (v1(constB192) <=> v1(VarCurr!0)),
% 9.20/7.12 inference(monotonicity,[status(thm)],[37855])).
% 9.20/7.12 tff(37857,plain,
% 9.20/7.12 (v1(VarCurr!0) <=> v1(constB192)),
% 9.20/7.12 inference(symmetry,[status(thm)],[37856])).
% 9.20/7.12 tff(37858,plain,
% 9.20/7.12 ((~v1(VarCurr!0)) <=> (~v1(constB192))),
% 9.20/7.12 inference(monotonicity,[status(thm)],[37857])).
% 9.20/7.12 tff(37859,plain,
% 9.20/7.12 (~v1(constB192)),
% 9.20/7.12 inference(modus_ponens,[status(thm)],[37809, 37858])).
% 9.20/7.12 tff(37860,plain,
% 9.20/7.12 ($false),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[23698, 37859])).
% 9.20/7.12 tff(37861,plain,(~(constB192 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.12 tff(37862,assumption,(constB110 = VarCurr!0), introduced(assumption)).
% 9.20/7.12 tff(37863,plain,
% 9.20/7.12 (v1(constB110) <=> v1(VarCurr!0)),
% 9.20/7.12 inference(monotonicity,[status(thm)],[37862])).
% 9.20/7.12 tff(37864,plain,
% 9.20/7.12 (v1(VarCurr!0) <=> v1(constB110)),
% 9.20/7.12 inference(symmetry,[status(thm)],[37863])).
% 9.20/7.12 tff(37865,plain,
% 9.20/7.12 ((~v1(VarCurr!0)) <=> (~v1(constB110))),
% 9.20/7.12 inference(monotonicity,[status(thm)],[37864])).
% 9.20/7.12 tff(37866,plain,
% 9.20/7.12 (~v1(constB110)),
% 9.20/7.12 inference(modus_ponens,[status(thm)],[37809, 37865])).
% 9.20/7.12 tff(37867,plain,
% 9.20/7.12 ($false),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[13725, 37866])).
% 9.20/7.12 tff(37868,plain,(~(constB110 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.12 tff(37869,assumption,(constB24 = VarCurr!0), introduced(assumption)).
% 9.20/7.12 tff(37870,plain,
% 9.20/7.12 (v1(constB24) <=> v1(VarCurr!0)),
% 9.20/7.12 inference(monotonicity,[status(thm)],[37869])).
% 9.20/7.12 tff(37871,plain,
% 9.20/7.12 (v1(VarCurr!0) <=> v1(constB24)),
% 9.20/7.12 inference(symmetry,[status(thm)],[37870])).
% 9.20/7.12 tff(37872,plain,
% 9.20/7.12 ((~v1(VarCurr!0)) <=> (~v1(constB24))),
% 9.20/7.12 inference(monotonicity,[status(thm)],[37871])).
% 9.20/7.12 tff(37873,plain,
% 9.20/7.12 (~v1(constB24)),
% 9.20/7.12 inference(modus_ponens,[status(thm)],[37809, 37872])).
% 9.20/7.12 tff(37874,plain,
% 9.20/7.12 ($false),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[5211, 37873])).
% 9.20/7.12 tff(37875,plain,(~(constB24 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.12 tff(37876,assumption,(constB12 = VarCurr!0), introduced(assumption)).
% 9.20/7.12 tff(37877,plain,
% 9.20/7.12 (v1(constB12) <=> v1(VarCurr!0)),
% 9.20/7.12 inference(monotonicity,[status(thm)],[37876])).
% 9.20/7.12 tff(37878,plain,
% 9.20/7.12 (v1(VarCurr!0) <=> v1(constB12)),
% 9.20/7.12 inference(symmetry,[status(thm)],[37877])).
% 9.20/7.12 tff(37879,plain,
% 9.20/7.12 ((~v1(VarCurr!0)) <=> (~v1(constB12))),
% 9.20/7.12 inference(monotonicity,[status(thm)],[37878])).
% 9.20/7.12 tff(37880,plain,
% 9.20/7.12 (~v1(constB12)),
% 9.20/7.12 inference(modus_ponens,[status(thm)],[37809, 37879])).
% 9.20/7.12 tff(37881,plain,
% 9.20/7.12 ($false),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[4264, 37880])).
% 9.20/7.12 tff(37882,plain,(~(constB12 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.12 tff(37883,assumption,(constB154 = VarCurr!0), introduced(assumption)).
% 9.20/7.12 tff(37884,plain,
% 9.20/7.12 (v1(constB154) <=> v1(VarCurr!0)),
% 9.20/7.12 inference(monotonicity,[status(thm)],[37883])).
% 9.20/7.12 tff(37885,plain,
% 9.20/7.12 (v1(VarCurr!0) <=> v1(constB154)),
% 9.20/7.12 inference(symmetry,[status(thm)],[37884])).
% 9.20/7.12 tff(37886,plain,
% 9.20/7.12 ((~v1(VarCurr!0)) <=> (~v1(constB154))),
% 9.20/7.12 inference(monotonicity,[status(thm)],[37885])).
% 9.20/7.12 tff(37887,plain,
% 9.20/7.12 (~v1(constB154)),
% 9.20/7.12 inference(modus_ponens,[status(thm)],[37809, 37886])).
% 9.20/7.12 tff(37888,plain,
% 9.20/7.12 ($false),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[20646, 37887])).
% 9.20/7.12 tff(37889,plain,(~(constB154 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.12 tff(37890,assumption,(constB150 = VarCurr!0), introduced(assumption)).
% 9.20/7.12 tff(37891,plain,
% 9.20/7.12 (v1(constB150) <=> v1(VarCurr!0)),
% 9.20/7.12 inference(monotonicity,[status(thm)],[37890])).
% 9.20/7.12 tff(37892,plain,
% 9.20/7.12 (v1(VarCurr!0) <=> v1(constB150)),
% 9.20/7.12 inference(symmetry,[status(thm)],[37891])).
% 9.20/7.12 tff(37893,plain,
% 9.20/7.12 ((~v1(VarCurr!0)) <=> (~v1(constB150))),
% 9.20/7.12 inference(monotonicity,[status(thm)],[37892])).
% 9.20/7.12 tff(37894,plain,
% 9.20/7.12 (~v1(constB150)),
% 9.20/7.12 inference(modus_ponens,[status(thm)],[37809, 37893])).
% 9.20/7.12 tff(37895,plain,
% 9.20/7.12 ($false),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[20342, 37894])).
% 9.20/7.12 tff(37896,plain,(~(constB150 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.12 tff(37897,assumption,(constB132 = VarCurr!0), introduced(assumption)).
% 9.20/7.12 tff(37898,plain,
% 9.20/7.12 (v1(constB132) <=> v1(VarCurr!0)),
% 9.20/7.12 inference(monotonicity,[status(thm)],[37897])).
% 9.20/7.12 tff(37899,plain,
% 9.20/7.12 (v1(VarCurr!0) <=> v1(constB132)),
% 9.20/7.12 inference(symmetry,[status(thm)],[37898])).
% 9.20/7.12 tff(37900,plain,
% 9.20/7.12 ((~v1(VarCurr!0)) <=> (~v1(constB132))),
% 9.20/7.12 inference(monotonicity,[status(thm)],[37899])).
% 9.20/7.12 tff(37901,plain,
% 9.20/7.12 (~v1(constB132)),
% 9.20/7.12 inference(modus_ponens,[status(thm)],[37809, 37900])).
% 9.20/7.12 tff(37902,plain,
% 9.20/7.12 ($false),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[18901, 37901])).
% 9.20/7.12 tff(37903,plain,(~(constB132 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.12 tff(37904,assumption,(constB60 = VarCurr!0), introduced(assumption)).
% 9.20/7.12 tff(37905,plain,
% 9.20/7.12 (v1(constB60) <=> v1(VarCurr!0)),
% 9.20/7.12 inference(monotonicity,[status(thm)],[37904])).
% 9.20/7.12 tff(37906,plain,
% 9.20/7.12 (v1(VarCurr!0) <=> v1(constB60)),
% 9.20/7.12 inference(symmetry,[status(thm)],[37905])).
% 9.20/7.12 tff(37907,plain,
% 9.20/7.12 ((~v1(VarCurr!0)) <=> (~v1(constB60))),
% 9.20/7.12 inference(monotonicity,[status(thm)],[37906])).
% 9.20/7.12 tff(37908,plain,
% 9.20/7.12 (~v1(constB60)),
% 9.20/7.12 inference(modus_ponens,[status(thm)],[37809, 37907])).
% 9.20/7.12 tff(37909,plain,
% 9.20/7.12 ($false),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[8105, 37908])).
% 9.20/7.12 tff(37910,plain,(~(constB60 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.12 tff(37911,assumption,(constB80 = VarCurr!0), introduced(assumption)).
% 9.20/7.12 tff(37912,plain,
% 9.20/7.12 (v1(constB80) <=> v1(VarCurr!0)),
% 9.20/7.12 inference(monotonicity,[status(thm)],[37911])).
% 9.20/7.12 tff(37913,plain,
% 9.20/7.12 (v1(VarCurr!0) <=> v1(constB80)),
% 9.20/7.12 inference(symmetry,[status(thm)],[37912])).
% 9.20/7.12 tff(37914,plain,
% 9.20/7.12 ((~v1(VarCurr!0)) <=> (~v1(constB80))),
% 9.20/7.12 inference(monotonicity,[status(thm)],[37913])).
% 9.20/7.12 tff(37915,plain,
% 9.20/7.12 (~v1(constB80)),
% 9.20/7.12 inference(modus_ponens,[status(thm)],[37809, 37914])).
% 9.20/7.12 tff(37916,plain,
% 9.20/7.12 ($false),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[9704, 37915])).
% 9.20/7.12 tff(37917,plain,(~(constB80 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.12 tff(37918,assumption,(constB72 = VarCurr!0), introduced(assumption)).
% 9.20/7.12 tff(37919,plain,
% 9.20/7.12 (v1(constB72) <=> v1(VarCurr!0)),
% 9.20/7.12 inference(monotonicity,[status(thm)],[37918])).
% 9.20/7.12 tff(37920,plain,
% 9.20/7.12 (v1(VarCurr!0) <=> v1(constB72)),
% 9.20/7.12 inference(symmetry,[status(thm)],[37919])).
% 9.20/7.12 tff(37921,plain,
% 9.20/7.12 ((~v1(VarCurr!0)) <=> (~v1(constB72))),
% 9.20/7.12 inference(monotonicity,[status(thm)],[37920])).
% 9.20/7.12 tff(37922,plain,
% 9.20/7.12 (~v1(constB72)),
% 9.20/7.12 inference(modus_ponens,[status(thm)],[37809, 37921])).
% 9.20/7.12 tff(37923,plain,
% 9.20/7.12 ($false),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[9061, 37922])).
% 9.20/7.12 tff(37924,plain,(~(constB72 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.12 tff(37925,assumption,(constB52 = VarCurr!0), introduced(assumption)).
% 9.20/7.12 tff(37926,plain,
% 9.20/7.12 (v1(constB52) <=> v1(VarCurr!0)),
% 9.20/7.12 inference(monotonicity,[status(thm)],[37925])).
% 9.20/7.12 tff(37927,plain,
% 9.20/7.12 (v1(VarCurr!0) <=> v1(constB52)),
% 9.20/7.12 inference(symmetry,[status(thm)],[37926])).
% 9.20/7.12 tff(37928,plain,
% 9.20/7.12 ((~v1(VarCurr!0)) <=> (~v1(constB52))),
% 9.20/7.12 inference(monotonicity,[status(thm)],[37927])).
% 9.20/7.12 tff(37929,plain,
% 9.20/7.12 (~v1(constB52)),
% 9.20/7.12 inference(modus_ponens,[status(thm)],[37809, 37928])).
% 9.20/7.12 tff(37930,plain,
% 9.20/7.12 ($false),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[7462, 37929])).
% 9.20/7.12 tff(37931,plain,(~(constB52 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.12 tff(37932,assumption,(constB180 = VarCurr!0), introduced(assumption)).
% 9.20/7.12 tff(37933,plain,
% 9.20/7.12 (v1(constB180) <=> v1(VarCurr!0)),
% 9.20/7.12 inference(monotonicity,[status(thm)],[37932])).
% 9.20/7.12 tff(37934,plain,
% 9.20/7.12 (v1(VarCurr!0) <=> v1(constB180)),
% 9.20/7.12 inference(symmetry,[status(thm)],[37933])).
% 9.20/7.12 tff(37935,plain,
% 9.20/7.12 ((~v1(VarCurr!0)) <=> (~v1(constB180))),
% 9.20/7.12 inference(monotonicity,[status(thm)],[37934])).
% 9.20/7.12 tff(37936,plain,
% 9.20/7.12 (~v1(constB180)),
% 9.20/7.12 inference(modus_ponens,[status(thm)],[37809, 37935])).
% 9.20/7.12 tff(37937,plain,
% 9.20/7.12 ($false),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[22742, 37936])).
% 9.20/7.12 tff(37938,plain,(~(constB180 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.12 tff(37939,assumption,(constB20 = VarCurr!0), introduced(assumption)).
% 9.20/7.12 tff(37940,plain,
% 9.20/7.12 (v1(constB20) <=> v1(VarCurr!0)),
% 9.20/7.12 inference(monotonicity,[status(thm)],[37939])).
% 9.20/7.12 tff(37941,plain,
% 9.20/7.12 (v1(VarCurr!0) <=> v1(constB20)),
% 9.20/7.12 inference(symmetry,[status(thm)],[37940])).
% 9.20/7.12 tff(37942,plain,
% 9.20/7.12 ((~v1(VarCurr!0)) <=> (~v1(constB20))),
% 9.20/7.12 inference(monotonicity,[status(thm)],[37941])).
% 9.20/7.12 tff(37943,plain,
% 9.20/7.12 (~v1(constB20)),
% 9.20/7.12 inference(modus_ponens,[status(thm)],[37809, 37942])).
% 9.20/7.12 tff(37944,plain,
% 9.20/7.12 ($false),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[4907, 37943])).
% 9.20/7.12 tff(37945,plain,(~(constB20 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.12 tff(37946,assumption,(constB90 = VarCurr!0), introduced(assumption)).
% 9.20/7.12 tff(37947,plain,
% 9.20/7.12 (v1(constB90) <=> v1(VarCurr!0)),
% 9.20/7.12 inference(monotonicity,[status(thm)],[37946])).
% 9.20/7.12 tff(37948,plain,
% 9.20/7.12 (v1(VarCurr!0) <=> v1(constB90)),
% 9.20/7.12 inference(symmetry,[status(thm)],[37947])).
% 9.20/7.12 tff(37949,plain,
% 9.20/7.12 ((~v1(VarCurr!0)) <=> (~v1(constB90))),
% 9.20/7.12 inference(monotonicity,[status(thm)],[37948])).
% 9.20/7.12 tff(37950,plain,
% 9.20/7.12 (~v1(constB90)),
% 9.20/7.12 inference(modus_ponens,[status(thm)],[37809, 37949])).
% 9.20/7.12 tff(37951,plain,
% 9.20/7.12 ($false),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[12126, 37950])).
% 9.20/7.12 tff(37952,plain,(~(constB90 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.12 tff(37953,assumption,(constB46 = VarCurr!0), introduced(assumption)).
% 9.20/7.12 tff(37954,plain,
% 9.20/7.12 (v1(constB46) <=> v1(VarCurr!0)),
% 9.20/7.12 inference(monotonicity,[status(thm)],[37953])).
% 9.20/7.12 tff(37955,plain,
% 9.20/7.12 (v1(VarCurr!0) <=> v1(constB46)),
% 9.20/7.12 inference(symmetry,[status(thm)],[37954])).
% 9.20/7.12 tff(37956,plain,
% 9.20/7.12 ((~v1(VarCurr!0)) <=> (~v1(constB46))),
% 9.20/7.12 inference(monotonicity,[status(thm)],[37955])).
% 9.20/7.12 tff(37957,plain,
% 9.20/7.12 (~v1(constB46)),
% 9.20/7.12 inference(modus_ponens,[status(thm)],[37809, 37956])).
% 9.20/7.12 tff(37958,plain,
% 9.20/7.12 ($false),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[6988, 37957])).
% 9.20/7.12 tff(37959,plain,(~(constB46 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.12 tff(37960,assumption,(constB178 = VarCurr!0), introduced(assumption)).
% 9.20/7.12 tff(37961,plain,
% 9.20/7.12 (v1(constB178) <=> v1(VarCurr!0)),
% 9.20/7.12 inference(monotonicity,[status(thm)],[37960])).
% 9.20/7.12 tff(37962,plain,
% 9.20/7.12 (v1(VarCurr!0) <=> v1(constB178)),
% 9.20/7.12 inference(symmetry,[status(thm)],[37961])).
% 9.20/7.12 tff(37963,plain,
% 9.20/7.12 ((~v1(VarCurr!0)) <=> (~v1(constB178))),
% 9.20/7.12 inference(monotonicity,[status(thm)],[37962])).
% 9.20/7.12 tff(37964,plain,
% 9.20/7.12 (~v1(constB178)),
% 9.20/7.12 inference(modus_ponens,[status(thm)],[37809, 37963])).
% 9.20/7.12 tff(37965,plain,
% 9.20/7.12 ($false),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[22581, 37964])).
% 9.20/7.12 tff(37966,plain,(~(constB178 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.12 tff(37967,assumption,(constB86 = VarCurr!0), introduced(assumption)).
% 9.20/7.12 tff(37968,plain,
% 9.20/7.12 (v1(constB86) <=> v1(VarCurr!0)),
% 9.20/7.12 inference(monotonicity,[status(thm)],[37967])).
% 9.20/7.12 tff(37969,plain,
% 9.20/7.12 (v1(VarCurr!0) <=> v1(constB86)),
% 9.20/7.12 inference(symmetry,[status(thm)],[37968])).
% 9.20/7.12 tff(37970,plain,
% 9.20/7.12 ((~v1(VarCurr!0)) <=> (~v1(constB86))),
% 9.20/7.12 inference(monotonicity,[status(thm)],[37969])).
% 9.20/7.12 tff(37971,plain,
% 9.20/7.12 (~v1(constB86)),
% 9.20/7.12 inference(modus_ponens,[status(thm)],[37809, 37970])).
% 9.20/7.12 tff(37972,plain,
% 9.20/7.12 ($false),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[11810, 37971])).
% 9.20/7.12 tff(37973,plain,(~(constB86 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.12 tff(37974,assumption,(constB130 = VarCurr!0), introduced(assumption)).
% 9.20/7.12 tff(37975,plain,
% 9.20/7.12 (v1(constB130) <=> v1(VarCurr!0)),
% 9.20/7.12 inference(monotonicity,[status(thm)],[37974])).
% 9.20/7.12 tff(37976,plain,
% 9.20/7.12 (v1(VarCurr!0) <=> v1(constB130)),
% 9.20/7.12 inference(symmetry,[status(thm)],[37975])).
% 9.20/7.12 tff(37977,plain,
% 9.20/7.12 ((~v1(VarCurr!0)) <=> (~v1(constB130))),
% 9.20/7.12 inference(monotonicity,[status(thm)],[37976])).
% 9.20/7.12 tff(37978,plain,
% 9.20/7.12 (~v1(constB130)),
% 9.20/7.12 inference(modus_ponens,[status(thm)],[37809, 37977])).
% 9.20/7.12 tff(37979,plain,
% 9.20/7.12 ($false),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[18743, 37978])).
% 9.20/7.12 tff(37980,plain,(~(constB130 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.12 tff(37981,assumption,(constB172 = VarCurr!0), introduced(assumption)).
% 9.20/7.12 tff(37982,plain,
% 9.20/7.12 (v1(constB172) <=> v1(VarCurr!0)),
% 9.20/7.12 inference(monotonicity,[status(thm)],[37981])).
% 9.20/7.12 tff(37983,plain,
% 9.20/7.12 (v1(VarCurr!0) <=> v1(constB172)),
% 9.20/7.12 inference(symmetry,[status(thm)],[37982])).
% 9.20/7.12 tff(37984,plain,
% 9.20/7.12 ((~v1(VarCurr!0)) <=> (~v1(constB172))),
% 9.20/7.12 inference(monotonicity,[status(thm)],[37983])).
% 9.20/7.12 tff(37985,plain,
% 9.20/7.12 (~v1(constB172)),
% 9.20/7.12 inference(modus_ponens,[status(thm)],[37809, 37984])).
% 9.20/7.12 tff(37986,plain,
% 9.20/7.12 ($false),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[22099, 37985])).
% 9.20/7.12 tff(37987,plain,(~(constB172 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.12 tff(37988,assumption,(constB74 = VarCurr!0), introduced(assumption)).
% 9.20/7.12 tff(37989,plain,
% 9.20/7.12 (v1(constB74) <=> v1(VarCurr!0)),
% 9.20/7.12 inference(monotonicity,[status(thm)],[37988])).
% 9.20/7.12 tff(37990,plain,
% 9.20/7.12 (v1(VarCurr!0) <=> v1(constB74)),
% 9.20/7.12 inference(symmetry,[status(thm)],[37989])).
% 9.20/7.12 tff(37991,plain,
% 9.20/7.12 ((~v1(VarCurr!0)) <=> (~v1(constB74))),
% 9.20/7.12 inference(monotonicity,[status(thm)],[37990])).
% 9.20/7.12 tff(37992,plain,
% 9.20/7.12 (~v1(constB74)),
% 9.20/7.12 inference(modus_ponens,[status(thm)],[37809, 37991])).
% 9.20/7.12 tff(37993,plain,
% 9.20/7.12 ($false),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[9207, 37992])).
% 9.20/7.12 tff(37994,plain,(~(constB74 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.12 tff(37995,assumption,(constB108 = VarCurr!0), introduced(assumption)).
% 9.20/7.12 tff(37996,plain,
% 9.20/7.12 (v1(constB108) <=> v1(VarCurr!0)),
% 9.20/7.12 inference(monotonicity,[status(thm)],[37995])).
% 9.20/7.12 tff(37997,plain,
% 9.20/7.12 (v1(VarCurr!0) <=> v1(constB108)),
% 9.20/7.12 inference(symmetry,[status(thm)],[37996])).
% 9.20/7.12 tff(37998,plain,
% 9.20/7.12 ((~v1(VarCurr!0)) <=> (~v1(constB108))),
% 9.20/7.12 inference(monotonicity,[status(thm)],[37997])).
% 9.20/7.12 tff(37999,plain,
% 9.20/7.12 (~v1(constB108)),
% 9.20/7.12 inference(modus_ponens,[status(thm)],[37809, 37998])).
% 9.20/7.12 tff(38000,plain,
% 9.20/7.12 ($false),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[13567, 37999])).
% 9.20/7.12 tff(38001,plain,(~(constB108 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.12 tff(38002,assumption,(constB40 = VarCurr!0), introduced(assumption)).
% 9.20/7.12 tff(38003,plain,
% 9.20/7.12 (v1(constB40) <=> v1(VarCurr!0)),
% 9.20/7.12 inference(monotonicity,[status(thm)],[38002])).
% 9.20/7.12 tff(38004,plain,
% 9.20/7.12 (v1(VarCurr!0) <=> v1(constB40)),
% 9.20/7.12 inference(symmetry,[status(thm)],[38003])).
% 9.20/7.12 tff(38005,plain,
% 9.20/7.12 ((~v1(VarCurr!0)) <=> (~v1(constB40))),
% 9.20/7.12 inference(monotonicity,[status(thm)],[38004])).
% 9.20/7.12 tff(38006,plain,
% 9.20/7.12 (~v1(constB40)),
% 9.20/7.12 inference(modus_ponens,[status(thm)],[37809, 38005])).
% 9.20/7.12 tff(38007,plain,
% 9.20/7.12 ($false),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[6506, 38006])).
% 9.20/7.12 tff(38008,plain,(~(constB40 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.12 tff(38009,assumption,(constB200 = VarCurr!0), introduced(assumption)).
% 9.20/7.12 tff(38010,plain,
% 9.20/7.12 (v1(constB200) <=> v1(VarCurr!0)),
% 9.20/7.12 inference(monotonicity,[status(thm)],[38009])).
% 9.20/7.12 tff(38011,plain,
% 9.20/7.12 (v1(VarCurr!0) <=> v1(constB200)),
% 9.20/7.12 inference(symmetry,[status(thm)],[38010])).
% 9.20/7.12 tff(38012,plain,
% 9.20/7.12 ((~v1(VarCurr!0)) <=> (~v1(constB200))),
% 9.20/7.12 inference(monotonicity,[status(thm)],[38011])).
% 9.20/7.12 tff(38013,plain,
% 9.20/7.12 (~v1(constB200)),
% 9.20/7.12 inference(modus_ponens,[status(thm)],[37809, 38012])).
% 9.20/7.12 tff(38014,plain,
% 9.20/7.12 (v1(constB200) <=> v1(constB200)),
% 9.20/7.12 inference(rewrite,[status(thm)],[])).
% 9.20/7.12 tff(38015,axiom,(v1(constB200)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_200')).
% 9.20/7.12 tff(38016,plain,
% 9.20/7.12 (v1(constB200)),
% 9.20/7.12 inference(modus_ponens,[status(thm)],[38015, 38014])).
% 9.20/7.12 tff(38017,plain,
% 9.20/7.12 ($false),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[38016, 38013])).
% 9.20/7.12 tff(38018,plain,(~(constB200 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.12 tff(38019,assumption,(constB100 = VarCurr!0), introduced(assumption)).
% 9.20/7.12 tff(38020,plain,
% 9.20/7.12 (v1(constB100) <=> v1(VarCurr!0)),
% 9.20/7.12 inference(monotonicity,[status(thm)],[38019])).
% 9.20/7.12 tff(38021,plain,
% 9.20/7.12 (v1(VarCurr!0) <=> v1(constB100)),
% 9.20/7.12 inference(symmetry,[status(thm)],[38020])).
% 9.20/7.12 tff(38022,plain,
% 9.20/7.12 ((~v1(VarCurr!0)) <=> (~v1(constB100))),
% 9.20/7.12 inference(monotonicity,[status(thm)],[38021])).
% 9.20/7.12 tff(38023,plain,
% 9.20/7.12 (~v1(constB100)),
% 9.20/7.12 inference(modus_ponens,[status(thm)],[37809, 38022])).
% 9.20/7.12 tff(38024,plain,
% 9.20/7.12 ($false),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[12927, 38023])).
% 9.20/7.12 tff(38025,plain,(~(constB100 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.12 tff(38026,assumption,(constB88 = VarCurr!0), introduced(assumption)).
% 9.20/7.12 tff(38027,plain,
% 9.20/7.12 (v1(constB88) <=> v1(VarCurr!0)),
% 9.20/7.12 inference(monotonicity,[status(thm)],[38026])).
% 9.20/7.12 tff(38028,plain,
% 9.20/7.12 (v1(VarCurr!0) <=> v1(constB88)),
% 9.20/7.12 inference(symmetry,[status(thm)],[38027])).
% 9.20/7.12 tff(38029,plain,
% 9.20/7.12 ((~v1(VarCurr!0)) <=> (~v1(constB88))),
% 9.20/7.12 inference(monotonicity,[status(thm)],[38028])).
% 9.20/7.12 tff(38030,plain,
% 9.20/7.12 (~v1(constB88)),
% 9.20/7.12 inference(modus_ponens,[status(thm)],[37809, 38029])).
% 9.20/7.12 tff(38031,plain,
% 9.20/7.12 ($false),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[11968, 38030])).
% 9.20/7.12 tff(38032,plain,(~(constB88 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.12 tff(38033,assumption,(constB0 = VarCurr!0), introduced(assumption)).
% 9.20/7.12 tff(38034,plain,
% 9.20/7.12 (v1(constB0) <=> v1(VarCurr!0)),
% 9.20/7.12 inference(monotonicity,[status(thm)],[38033])).
% 9.20/7.12 tff(38035,plain,
% 9.20/7.12 (v1(VarCurr!0) <=> v1(constB0)),
% 9.20/7.12 inference(symmetry,[status(thm)],[38034])).
% 9.20/7.12 tff(38036,plain,
% 9.20/7.12 ((~v1(VarCurr!0)) <=> (~v1(constB0))),
% 9.20/7.12 inference(monotonicity,[status(thm)],[38035])).
% 9.20/7.12 tff(38037,plain,
% 9.20/7.12 (~v1(constB0)),
% 9.20/7.12 inference(modus_ponens,[status(thm)],[37809, 38036])).
% 9.20/7.12 tff(38038,plain,
% 9.20/7.12 (v1(constB0) <=> v1(constB0)),
% 9.20/7.12 inference(rewrite,[status(thm)],[])).
% 9.20/7.12 tff(38039,axiom,(v1(constB0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern')).
% 9.20/7.12 tff(38040,plain,
% 9.20/7.12 (v1(constB0)),
% 9.20/7.12 inference(modus_ponens,[status(thm)],[38039, 38038])).
% 9.20/7.12 tff(38041,plain,
% 9.20/7.12 ($false),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[38040, 38037])).
% 9.20/7.12 tff(38042,plain,(~(constB0 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.12 tff(38043,assumption,(constB44 = VarCurr!0), introduced(assumption)).
% 9.20/7.12 tff(38044,plain,
% 9.20/7.12 (v1(constB44) <=> v1(VarCurr!0)),
% 9.20/7.12 inference(monotonicity,[status(thm)],[38043])).
% 9.20/7.12 tff(38045,plain,
% 9.20/7.12 (v1(VarCurr!0) <=> v1(constB44)),
% 9.20/7.12 inference(symmetry,[status(thm)],[38044])).
% 9.20/7.12 tff(38046,plain,
% 9.20/7.12 ((~v1(VarCurr!0)) <=> (~v1(constB44))),
% 9.20/7.12 inference(monotonicity,[status(thm)],[38045])).
% 9.20/7.12 tff(38047,plain,
% 9.20/7.12 (~v1(constB44)),
% 9.20/7.12 inference(modus_ponens,[status(thm)],[37809, 38046])).
% 9.20/7.12 tff(38048,plain,
% 9.20/7.12 ($false),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[6810, 38047])).
% 9.20/7.12 tff(38049,plain,(~(constB44 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.12 tff(38050,assumption,(constB30 = VarCurr!0), introduced(assumption)).
% 9.20/7.12 tff(38051,plain,
% 9.20/7.12 (v1(constB30) <=> v1(VarCurr!0)),
% 9.20/7.12 inference(monotonicity,[status(thm)],[38050])).
% 9.20/7.12 tff(38052,plain,
% 9.20/7.12 (v1(VarCurr!0) <=> v1(constB30)),
% 9.20/7.12 inference(symmetry,[status(thm)],[38051])).
% 9.20/7.12 tff(38053,plain,
% 9.20/7.12 ((~v1(VarCurr!0)) <=> (~v1(constB30))),
% 9.20/7.12 inference(monotonicity,[status(thm)],[38052])).
% 9.20/7.12 tff(38054,plain,
% 9.20/7.12 (~v1(constB30)),
% 9.20/7.12 inference(modus_ponens,[status(thm)],[37809, 38053])).
% 9.20/7.12 tff(38055,plain,
% 9.20/7.12 ($false),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[5705, 38054])).
% 9.20/7.12 tff(38056,plain,(~(constB30 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.12 tff(38057,assumption,(constB124 = VarCurr!0), introduced(assumption)).
% 9.20/7.12 tff(38058,plain,
% 9.20/7.12 (v1(constB124) <=> v1(VarCurr!0)),
% 9.20/7.12 inference(monotonicity,[status(thm)],[38057])).
% 9.20/7.12 tff(38059,plain,
% 9.20/7.12 (v1(VarCurr!0) <=> v1(constB124)),
% 9.20/7.12 inference(symmetry,[status(thm)],[38058])).
% 9.20/7.12 tff(38060,plain,
% 9.20/7.12 ((~v1(VarCurr!0)) <=> (~v1(constB124))),
% 9.20/7.12 inference(monotonicity,[status(thm)],[38059])).
% 9.20/7.12 tff(38061,plain,
% 9.20/7.12 (~v1(constB124)),
% 9.20/7.12 inference(modus_ponens,[status(thm)],[37809, 38060])).
% 9.20/7.12 tff(38062,plain,
% 9.20/7.12 ($false),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[18249, 38061])).
% 9.20/7.12 tff(38063,plain,(~(constB124 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.12 tff(38064,assumption,(constB96 = VarCurr!0), introduced(assumption)).
% 9.20/7.12 tff(38065,plain,
% 9.20/7.12 (v1(constB96) <=> v1(VarCurr!0)),
% 9.20/7.12 inference(monotonicity,[status(thm)],[38064])).
% 9.20/7.12 tff(38066,plain,
% 9.20/7.12 (v1(VarCurr!0) <=> v1(constB96)),
% 9.20/7.12 inference(symmetry,[status(thm)],[38065])).
% 9.20/7.12 tff(38067,plain,
% 9.20/7.12 ((~v1(VarCurr!0)) <=> (~v1(constB96))),
% 9.20/7.12 inference(monotonicity,[status(thm)],[38066])).
% 9.20/7.12 tff(38068,plain,
% 9.20/7.12 (~v1(constB96)),
% 9.20/7.12 inference(modus_ponens,[status(thm)],[37809, 38067])).
% 9.20/7.12 tff(38069,plain,
% 9.20/7.12 ($false),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[12629, 38068])).
% 9.20/7.12 tff(38070,plain,(~(constB96 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.12 tff(38071,assumption,(constB66 = VarCurr!0), introduced(assumption)).
% 9.20/7.12 tff(38072,plain,
% 9.20/7.12 (v1(constB66) <=> v1(VarCurr!0)),
% 9.20/7.12 inference(monotonicity,[status(thm)],[38071])).
% 9.20/7.12 tff(38073,plain,
% 9.20/7.12 (v1(VarCurr!0) <=> v1(constB66)),
% 9.20/7.12 inference(symmetry,[status(thm)],[38072])).
% 9.20/7.12 tff(38074,plain,
% 9.20/7.12 ((~v1(VarCurr!0)) <=> (~v1(constB66))),
% 9.20/7.12 inference(monotonicity,[status(thm)],[38073])).
% 9.20/7.12 tff(38075,plain,
% 9.20/7.12 (~v1(constB66)),
% 9.20/7.12 inference(modus_ponens,[status(thm)],[37809, 38074])).
% 9.20/7.12 tff(38076,plain,
% 9.20/7.12 ($false),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[8587, 38075])).
% 9.20/7.12 tff(38077,plain,(~(constB66 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.12 tff(38078,assumption,(constB16 = VarCurr!0), introduced(assumption)).
% 9.20/7.12 tff(38079,plain,
% 9.20/7.12 (v1(constB16) <=> v1(VarCurr!0)),
% 9.20/7.12 inference(monotonicity,[status(thm)],[38078])).
% 9.20/7.12 tff(38080,plain,
% 9.20/7.12 (v1(VarCurr!0) <=> v1(constB16)),
% 9.20/7.12 inference(symmetry,[status(thm)],[38079])).
% 9.20/7.12 tff(38081,plain,
% 9.20/7.12 ((~v1(VarCurr!0)) <=> (~v1(constB16))),
% 9.20/7.12 inference(monotonicity,[status(thm)],[38080])).
% 9.20/7.12 tff(38082,plain,
% 9.20/7.12 (~v1(constB16)),
% 9.20/7.12 inference(modus_ponens,[status(thm)],[37809, 38081])).
% 9.20/7.12 tff(38083,plain,
% 9.20/7.12 ($false),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[4609, 38082])).
% 9.20/7.12 tff(38084,plain,(~(constB16 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.12 tff(38085,assumption,(constB146 = VarCurr!0), introduced(assumption)).
% 9.20/7.12 tff(38086,plain,
% 9.20/7.12 (v1(constB146) <=> v1(VarCurr!0)),
% 9.20/7.12 inference(monotonicity,[status(thm)],[38085])).
% 9.20/7.12 tff(38087,plain,
% 9.20/7.12 (v1(VarCurr!0) <=> v1(constB146)),
% 9.20/7.12 inference(symmetry,[status(thm)],[38086])).
% 9.20/7.12 tff(38088,plain,
% 9.20/7.12 ((~v1(VarCurr!0)) <=> (~v1(constB146))),
% 9.20/7.12 inference(monotonicity,[status(thm)],[38087])).
% 9.20/7.12 tff(38089,plain,
% 9.20/7.12 (~v1(constB146)),
% 9.20/7.12 inference(modus_ponens,[status(thm)],[37809, 38088])).
% 9.20/7.12 tff(38090,plain,
% 9.20/7.12 ($false),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[20026, 38089])).
% 9.20/7.12 tff(38091,plain,(~(constB146 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.12 tff(38092,assumption,(constB22 = VarCurr!0), introduced(assumption)).
% 9.20/7.12 tff(38093,plain,
% 9.20/7.12 (v1(constB22) <=> v1(VarCurr!0)),
% 9.20/7.12 inference(monotonicity,[status(thm)],[38092])).
% 9.20/7.12 tff(38094,plain,
% 9.20/7.12 (v1(VarCurr!0) <=> v1(constB22)),
% 9.20/7.12 inference(symmetry,[status(thm)],[38093])).
% 9.20/7.12 tff(38095,plain,
% 9.20/7.12 ((~v1(VarCurr!0)) <=> (~v1(constB22))),
% 9.20/7.12 inference(monotonicity,[status(thm)],[38094])).
% 9.20/7.12 tff(38096,plain,
% 9.20/7.12 (~v1(constB22)),
% 9.20/7.12 inference(modus_ponens,[status(thm)],[37809, 38095])).
% 9.20/7.12 tff(38097,plain,
% 9.20/7.12 ($false),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[5062, 38096])).
% 9.20/7.12 tff(38098,plain,(~(constB22 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.12 tff(38099,assumption,(constB142 = VarCurr!0), introduced(assumption)).
% 9.20/7.12 tff(38100,plain,
% 9.20/7.12 (v1(constB142) <=> v1(VarCurr!0)),
% 9.20/7.12 inference(monotonicity,[status(thm)],[38099])).
% 9.20/7.12 tff(38101,plain,
% 9.20/7.12 (v1(VarCurr!0) <=> v1(constB142)),
% 9.20/7.12 inference(symmetry,[status(thm)],[38100])).
% 9.20/7.12 tff(38102,plain,
% 9.20/7.12 ((~v1(VarCurr!0)) <=> (~v1(constB142))),
% 9.20/7.12 inference(monotonicity,[status(thm)],[38101])).
% 9.20/7.12 tff(38103,plain,
% 9.20/7.12 (~v1(constB142)),
% 9.20/7.12 inference(modus_ponens,[status(thm)],[37809, 38102])).
% 9.20/7.12 tff(38104,plain,
% 9.20/7.12 ($false),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[19699, 38103])).
% 9.20/7.12 tff(38105,plain,(~(constB142 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.12 tff(38106,assumption,(constB188 = VarCurr!0), introduced(assumption)).
% 9.20/7.12 tff(38107,plain,
% 9.20/7.12 (v1(constB188) <=> v1(VarCurr!0)),
% 9.20/7.12 inference(monotonicity,[status(thm)],[38106])).
% 9.20/7.12 tff(38108,plain,
% 9.20/7.12 (v1(VarCurr!0) <=> v1(constB188)),
% 9.20/7.12 inference(symmetry,[status(thm)],[38107])).
% 9.20/7.12 tff(38109,plain,
% 9.20/7.12 ((~v1(VarCurr!0)) <=> (~v1(constB188))),
% 9.20/7.12 inference(monotonicity,[status(thm)],[38108])).
% 9.20/7.12 tff(38110,plain,
% 9.20/7.12 (~v1(constB188)),
% 9.20/7.12 inference(modus_ponens,[status(thm)],[37809, 38109])).
% 9.20/7.12 tff(38111,plain,
% 9.20/7.12 ($false),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[23382, 38110])).
% 9.20/7.12 tff(38112,plain,(~(constB188 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.12 tff(38113,assumption,(constB168 = VarCurr!0), introduced(assumption)).
% 9.20/7.12 tff(38114,plain,
% 9.20/7.12 (v1(constB168) <=> v1(VarCurr!0)),
% 9.20/7.12 inference(monotonicity,[status(thm)],[38113])).
% 9.20/7.12 tff(38115,plain,
% 9.20/7.12 (v1(VarCurr!0) <=> v1(constB168)),
% 9.20/7.12 inference(symmetry,[status(thm)],[38114])).
% 9.20/7.12 tff(38116,plain,
% 9.20/7.12 ((~v1(VarCurr!0)) <=> (~v1(constB168))),
% 9.20/7.12 inference(monotonicity,[status(thm)],[38115])).
% 9.20/7.12 tff(38117,plain,
% 9.20/7.12 (~v1(constB168)),
% 9.20/7.12 inference(modus_ponens,[status(thm)],[37809, 38116])).
% 9.20/7.12 tff(38118,plain,
% 9.20/7.12 ($false),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[21783, 38117])).
% 9.20/7.12 tff(38119,plain,(~(constB168 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.12 tff(38120,assumption,(constB4 = VarCurr!0), introduced(assumption)).
% 9.20/7.12 tff(38121,plain,
% 9.20/7.12 (v1(constB4) <=> v1(VarCurr!0)),
% 9.20/7.12 inference(monotonicity,[status(thm)],[38120])).
% 9.20/7.12 tff(38122,plain,
% 9.20/7.12 (v1(VarCurr!0) <=> v1(constB4)),
% 9.20/7.12 inference(symmetry,[status(thm)],[38121])).
% 9.20/7.12 tff(38123,plain,
% 9.20/7.12 ((~v1(VarCurr!0)) <=> (~v1(constB4))),
% 9.20/7.12 inference(monotonicity,[status(thm)],[38122])).
% 9.20/7.12 tff(38124,plain,
% 9.20/7.12 (~v1(constB4)),
% 9.20/7.12 inference(modus_ponens,[status(thm)],[37809, 38123])).
% 9.20/7.12 tff(38125,plain,
% 9.20/7.12 ($false),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[3534, 38124])).
% 9.20/7.12 tff(38126,plain,(~(constB4 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.12 tff(38127,assumption,(constB68 = VarCurr!0), introduced(assumption)).
% 9.20/7.12 tff(38128,plain,
% 9.20/7.12 (v1(constB68) <=> v1(VarCurr!0)),
% 9.20/7.12 inference(monotonicity,[status(thm)],[38127])).
% 9.20/7.12 tff(38129,plain,
% 9.20/7.12 (v1(VarCurr!0) <=> v1(constB68)),
% 9.20/7.12 inference(symmetry,[status(thm)],[38128])).
% 9.20/7.12 tff(38130,plain,
% 9.20/7.12 ((~v1(VarCurr!0)) <=> (~v1(constB68))),
% 9.20/7.12 inference(monotonicity,[status(thm)],[38129])).
% 9.20/7.12 tff(38131,plain,
% 9.20/7.12 (~v1(constB68)),
% 9.20/7.12 inference(modus_ponens,[status(thm)],[37809, 38130])).
% 9.20/7.12 tff(38132,plain,
% 9.20/7.12 ($false),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[8745, 38131])).
% 9.20/7.12 tff(38133,plain,(~(constB68 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.12 tff(38134,assumption,(constB196 = VarCurr!0), introduced(assumption)).
% 9.20/7.12 tff(38135,plain,
% 9.20/7.12 (v1(constB196) <=> v1(VarCurr!0)),
% 9.20/7.12 inference(monotonicity,[status(thm)],[38134])).
% 9.20/7.12 tff(38136,plain,
% 9.20/7.12 (v1(VarCurr!0) <=> v1(constB196)),
% 9.20/7.12 inference(symmetry,[status(thm)],[38135])).
% 9.20/7.12 tff(38137,plain,
% 9.20/7.12 ((~v1(VarCurr!0)) <=> (~v1(constB196))),
% 9.20/7.12 inference(monotonicity,[status(thm)],[38136])).
% 9.20/7.12 tff(38138,plain,
% 9.20/7.12 (~v1(constB196)),
% 9.20/7.12 inference(modus_ponens,[status(thm)],[37809, 38137])).
% 9.20/7.12 tff(38139,plain,
% 9.20/7.12 ($false),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[14865, 38138])).
% 9.20/7.12 tff(38140,plain,(~(constB196 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.12 tff(38141,assumption,(constB184 = VarCurr!0), introduced(assumption)).
% 9.20/7.12 tff(38142,plain,
% 9.20/7.12 (v1(constB184) <=> v1(VarCurr!0)),
% 9.20/7.12 inference(monotonicity,[status(thm)],[38141])).
% 9.20/7.12 tff(38143,plain,
% 9.20/7.12 (v1(VarCurr!0) <=> v1(constB184)),
% 9.20/7.12 inference(symmetry,[status(thm)],[38142])).
% 9.20/7.12 tff(38144,plain,
% 9.20/7.12 ((~v1(VarCurr!0)) <=> (~v1(constB184))),
% 9.20/7.12 inference(monotonicity,[status(thm)],[38143])).
% 9.20/7.12 tff(38145,plain,
% 9.20/7.12 (~v1(constB184)),
% 9.20/7.12 inference(modus_ponens,[status(thm)],[37809, 38144])).
% 9.20/7.12 tff(38146,plain,
% 9.20/7.12 ($false),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[23046, 38145])).
% 9.20/7.12 tff(38147,plain,(~(constB184 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.12 tff(38148,assumption,(constB82 = VarCurr!0), introduced(assumption)).
% 9.20/7.12 tff(38149,plain,
% 9.20/7.12 (v1(constB82) <=> v1(VarCurr!0)),
% 9.20/7.12 inference(monotonicity,[status(thm)],[38148])).
% 9.20/7.12 tff(38150,plain,
% 9.20/7.12 (v1(VarCurr!0) <=> v1(constB82)),
% 9.20/7.12 inference(symmetry,[status(thm)],[38149])).
% 9.20/7.12 tff(38151,plain,
% 9.20/7.12 ((~v1(VarCurr!0)) <=> (~v1(constB82))),
% 9.20/7.12 inference(monotonicity,[status(thm)],[38150])).
% 9.20/7.12 tff(38152,plain,
% 9.20/7.12 (~v1(constB82)),
% 9.20/7.12 inference(modus_ponens,[status(thm)],[37809, 38151])).
% 9.20/7.12 tff(38153,plain,
% 9.20/7.12 ($false),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[134, 38152])).
% 9.20/7.12 tff(38154,plain,(~(constB82 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.12 tff(38155,assumption,(constB118 = VarCurr!0), introduced(assumption)).
% 9.20/7.12 tff(38156,plain,
% 9.20/7.12 (v1(constB118) <=> v1(VarCurr!0)),
% 9.20/7.12 inference(monotonicity,[status(thm)],[38155])).
% 9.20/7.12 tff(38157,plain,
% 9.20/7.12 (v1(VarCurr!0) <=> v1(constB118)),
% 9.20/7.12 inference(symmetry,[status(thm)],[38156])).
% 9.20/7.12 tff(38158,plain,
% 9.20/7.12 ((~v1(VarCurr!0)) <=> (~v1(constB118))),
% 9.20/7.12 inference(monotonicity,[status(thm)],[38157])).
% 9.20/7.12 tff(38159,plain,
% 9.20/7.12 (~v1(constB118)),
% 9.20/7.12 inference(modus_ponens,[status(thm)],[37809, 38158])).
% 9.20/7.12 tff(38160,plain,
% 9.20/7.12 ($false),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[17784, 38159])).
% 9.20/7.12 tff(38161,plain,(~(constB118 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.12 tff(38162,assumption,(constB136 = VarCurr!0), introduced(assumption)).
% 9.20/7.12 tff(38163,plain,
% 9.20/7.12 (v1(constB136) <=> v1(VarCurr!0)),
% 9.20/7.12 inference(monotonicity,[status(thm)],[38162])).
% 9.20/7.12 tff(38164,plain,
% 9.20/7.12 (v1(VarCurr!0) <=> v1(constB136)),
% 9.20/7.12 inference(symmetry,[status(thm)],[38163])).
% 9.20/7.12 tff(38165,plain,
% 9.20/7.12 ((~v1(VarCurr!0)) <=> (~v1(constB136))),
% 9.20/7.12 inference(monotonicity,[status(thm)],[38164])).
% 9.20/7.12 tff(38166,plain,
% 9.20/7.12 (~v1(constB136)),
% 9.20/7.12 inference(modus_ponens,[status(thm)],[37809, 38165])).
% 9.20/7.12 tff(38167,plain,
% 9.20/7.12 ($false),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[19246, 38166])).
% 9.20/7.12 tff(38168,plain,(~(constB136 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.12 tff(38169,assumption,(constB6 = VarCurr!0), introduced(assumption)).
% 9.20/7.12 tff(38170,plain,
% 9.20/7.12 (v1(constB6) <=> v1(VarCurr!0)),
% 9.20/7.12 inference(monotonicity,[status(thm)],[38169])).
% 9.20/7.12 tff(38171,plain,
% 9.20/7.12 (v1(VarCurr!0) <=> v1(constB6)),
% 9.20/7.12 inference(symmetry,[status(thm)],[38170])).
% 9.20/7.12 tff(38172,plain,
% 9.20/7.12 ((~v1(VarCurr!0)) <=> (~v1(constB6))),
% 9.20/7.12 inference(monotonicity,[status(thm)],[38171])).
% 9.20/7.12 tff(38173,plain,
% 9.20/7.12 (~v1(constB6)),
% 9.20/7.12 inference(modus_ponens,[status(thm)],[37809, 38172])).
% 9.20/7.12 tff(38174,plain,
% 9.20/7.12 ($false),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[3738, 38173])).
% 9.20/7.12 tff(38175,plain,(~(constB6 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.12 tff(38176,assumption,(constB186 = VarCurr!0), introduced(assumption)).
% 9.20/7.12 tff(38177,plain,
% 9.20/7.12 (v1(constB186) <=> v1(VarCurr!0)),
% 9.20/7.12 inference(monotonicity,[status(thm)],[38176])).
% 9.20/7.12 tff(38178,plain,
% 9.20/7.12 (v1(VarCurr!0) <=> v1(constB186)),
% 9.20/7.12 inference(symmetry,[status(thm)],[38177])).
% 9.20/7.12 tff(38179,plain,
% 9.20/7.12 ((~v1(VarCurr!0)) <=> (~v1(constB186))),
% 9.20/7.12 inference(monotonicity,[status(thm)],[38178])).
% 9.20/7.12 tff(38180,plain,
% 9.20/7.12 (~v1(constB186)),
% 9.20/7.12 inference(modus_ponens,[status(thm)],[37809, 38179])).
% 9.20/7.12 tff(38181,plain,
% 9.20/7.12 ($false),
% 9.20/7.12 inference(unit_resolution,[status(thm)],[23224, 38180])).
% 9.20/7.12 tff(38182,plain,(~(constB186 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.12 tff(38183,assumption,(constB198 = VarCurr!0), introduced(assumption)).
% 9.20/7.12 tff(38184,plain,
% 9.20/7.12 (v1(constB198) <=> v1(VarCurr!0)),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38183])).
% 9.20/7.13 tff(38185,plain,
% 9.20/7.13 (v1(VarCurr!0) <=> v1(constB198)),
% 9.20/7.13 inference(symmetry,[status(thm)],[38184])).
% 9.20/7.13 tff(38186,plain,
% 9.20/7.13 ((~v1(VarCurr!0)) <=> (~v1(constB198))),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38185])).
% 9.20/7.13 tff(38187,plain,
% 9.20/7.13 (~v1(constB198)),
% 9.20/7.13 inference(modus_ponens,[status(thm)],[37809, 38186])).
% 9.20/7.13 tff(38188,plain,
% 9.20/7.13 ($false),
% 9.20/7.13 inference(unit_resolution,[status(thm)],[30251, 38187])).
% 9.20/7.13 tff(38189,plain,(~(constB198 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.13 tff(38190,assumption,(constB190 = VarCurr!0), introduced(assumption)).
% 9.20/7.13 tff(38191,plain,
% 9.20/7.13 (v1(constB190) <=> v1(VarCurr!0)),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38190])).
% 9.20/7.13 tff(38192,plain,
% 9.20/7.13 (v1(VarCurr!0) <=> v1(constB190)),
% 9.20/7.13 inference(symmetry,[status(thm)],[38191])).
% 9.20/7.13 tff(38193,plain,
% 9.20/7.13 ((~v1(VarCurr!0)) <=> (~v1(constB190))),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38192])).
% 9.20/7.13 tff(38194,plain,
% 9.20/7.13 (~v1(constB190)),
% 9.20/7.13 inference(modus_ponens,[status(thm)],[37809, 38193])).
% 9.20/7.13 tff(38195,plain,
% 9.20/7.13 ($false),
% 9.20/7.13 inference(unit_resolution,[status(thm)],[23540, 38194])).
% 9.20/7.13 tff(38196,plain,(~(constB190 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.13 tff(38197,assumption,(constB156 = VarCurr!0), introduced(assumption)).
% 9.20/7.13 tff(38198,plain,
% 9.20/7.13 (v1(constB156) <=> v1(VarCurr!0)),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38197])).
% 9.20/7.13 tff(38199,plain,
% 9.20/7.13 (v1(VarCurr!0) <=> v1(constB156)),
% 9.20/7.13 inference(symmetry,[status(thm)],[38198])).
% 9.20/7.13 tff(38200,plain,
% 9.20/7.13 ((~v1(VarCurr!0)) <=> (~v1(constB156))),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38199])).
% 9.20/7.13 tff(38201,plain,
% 9.20/7.13 (~v1(constB156)),
% 9.20/7.13 inference(modus_ponens,[status(thm)],[37809, 38200])).
% 9.20/7.13 tff(38202,plain,
% 9.20/7.13 ($false),
% 9.20/7.13 inference(unit_resolution,[status(thm)],[20845, 38201])).
% 9.20/7.13 tff(38203,plain,(~(constB156 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.13 tff(38204,assumption,(constB56 = VarCurr!0), introduced(assumption)).
% 9.20/7.13 tff(38205,plain,
% 9.20/7.13 (v1(constB56) <=> v1(VarCurr!0)),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38204])).
% 9.20/7.13 tff(38206,plain,
% 9.20/7.13 (v1(VarCurr!0) <=> v1(constB56)),
% 9.20/7.13 inference(symmetry,[status(thm)],[38205])).
% 9.20/7.13 tff(38207,plain,
% 9.20/7.13 ((~v1(VarCurr!0)) <=> (~v1(constB56))),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38206])).
% 9.20/7.13 tff(38208,plain,
% 9.20/7.13 (~v1(constB56)),
% 9.20/7.13 inference(modus_ponens,[status(thm)],[37809, 38207])).
% 9.20/7.13 tff(38209,plain,
% 9.20/7.13 ($false),
% 9.20/7.13 inference(unit_resolution,[status(thm)],[7807, 38208])).
% 9.20/7.13 tff(38210,plain,(~(constB56 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.13 tff(38211,assumption,(constB78 = VarCurr!0), introduced(assumption)).
% 9.20/7.13 tff(38212,plain,
% 9.20/7.13 (v1(constB78) <=> v1(VarCurr!0)),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38211])).
% 9.20/7.13 tff(38213,plain,
% 9.20/7.13 (v1(VarCurr!0) <=> v1(constB78)),
% 9.20/7.13 inference(symmetry,[status(thm)],[38212])).
% 9.20/7.13 tff(38214,plain,
% 9.20/7.13 ((~v1(VarCurr!0)) <=> (~v1(constB78))),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38213])).
% 9.20/7.13 tff(38215,plain,
% 9.20/7.13 (~v1(constB78)),
% 9.20/7.13 inference(modus_ponens,[status(thm)],[37809, 38214])).
% 9.20/7.13 tff(38216,plain,
% 9.20/7.13 ($false),
% 9.20/7.13 inference(unit_resolution,[status(thm)],[9543, 38215])).
% 9.20/7.13 tff(38217,plain,(~(constB78 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.13 tff(38218,assumption,(constB8 = VarCurr!0), introduced(assumption)).
% 9.20/7.13 tff(38219,plain,
% 9.20/7.13 (v1(constB8) <=> v1(VarCurr!0)),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38218])).
% 9.20/7.13 tff(38220,plain,
% 9.20/7.13 (v1(VarCurr!0) <=> v1(constB8)),
% 9.20/7.13 inference(symmetry,[status(thm)],[38219])).
% 9.20/7.13 tff(38221,plain,
% 9.20/7.13 ((~v1(VarCurr!0)) <=> (~v1(constB8))),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38220])).
% 9.20/7.13 tff(38222,plain,
% 9.20/7.13 (~v1(constB8)),
% 9.20/7.13 inference(modus_ponens,[status(thm)],[37809, 38221])).
% 9.20/7.13 tff(38223,plain,
% 9.20/7.13 ($false),
% 9.20/7.13 inference(unit_resolution,[status(thm)],[3922, 38222])).
% 9.20/7.13 tff(38224,plain,(~(constB8 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.13 tff(38225,assumption,(constB120 = VarCurr!0), introduced(assumption)).
% 9.20/7.13 tff(38226,plain,
% 9.20/7.13 (v1(constB120) <=> v1(VarCurr!0)),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38225])).
% 9.20/7.13 tff(38227,plain,
% 9.20/7.13 (v1(VarCurr!0) <=> v1(constB120)),
% 9.20/7.13 inference(symmetry,[status(thm)],[38226])).
% 9.20/7.13 tff(38228,plain,
% 9.20/7.13 ((~v1(VarCurr!0)) <=> (~v1(constB120))),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38227])).
% 9.20/7.13 tff(38229,plain,
% 9.20/7.13 (~v1(constB120)),
% 9.20/7.13 inference(modus_ponens,[status(thm)],[37809, 38228])).
% 9.20/7.13 tff(38230,plain,
% 9.20/7.13 ($false),
% 9.20/7.13 inference(unit_resolution,[status(thm)],[17945, 38229])).
% 9.20/7.13 tff(38231,plain,(~(constB120 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.13 tff(38232,assumption,(constB158 = VarCurr!0), introduced(assumption)).
% 9.20/7.13 tff(38233,plain,
% 9.20/7.13 (v1(constB158) <=> v1(VarCurr!0)),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38232])).
% 9.20/7.13 tff(38234,plain,
% 9.20/7.13 (v1(VarCurr!0) <=> v1(constB158)),
% 9.20/7.13 inference(symmetry,[status(thm)],[38233])).
% 9.20/7.13 tff(38235,plain,
% 9.20/7.13 ((~v1(VarCurr!0)) <=> (~v1(constB158))),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38234])).
% 9.20/7.13 tff(38236,plain,
% 9.20/7.13 (~v1(constB158)),
% 9.20/7.13 inference(modus_ponens,[status(thm)],[37809, 38235])).
% 9.20/7.13 tff(38237,plain,
% 9.20/7.13 ($false),
% 9.20/7.13 inference(unit_resolution,[status(thm)],[20982, 38236])).
% 9.20/7.13 tff(38238,plain,(~(constB158 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.13 tff(38239,assumption,(constB38 = VarCurr!0), introduced(assumption)).
% 9.20/7.13 tff(38240,plain,
% 9.20/7.13 (v1(constB38) <=> v1(VarCurr!0)),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38239])).
% 9.20/7.13 tff(38241,plain,
% 9.20/7.13 (v1(VarCurr!0) <=> v1(constB38)),
% 9.20/7.13 inference(symmetry,[status(thm)],[38240])).
% 9.20/7.13 tff(38242,plain,
% 9.20/7.13 ((~v1(VarCurr!0)) <=> (~v1(constB38))),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38241])).
% 9.20/7.13 tff(38243,plain,
% 9.20/7.13 (~v1(constB38)),
% 9.20/7.13 inference(modus_ponens,[status(thm)],[37809, 38242])).
% 9.20/7.13 tff(38244,plain,
% 9.20/7.13 ($false),
% 9.20/7.13 inference(unit_resolution,[status(thm)],[6345, 38243])).
% 9.20/7.13 tff(38245,plain,(~(constB38 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.13 tff(38246,assumption,(constB170 = VarCurr!0), introduced(assumption)).
% 9.20/7.13 tff(38247,plain,
% 9.20/7.13 (v1(constB170) <=> v1(VarCurr!0)),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38246])).
% 9.20/7.13 tff(38248,plain,
% 9.20/7.13 (v1(VarCurr!0) <=> v1(constB170)),
% 9.20/7.13 inference(symmetry,[status(thm)],[38247])).
% 9.20/7.13 tff(38249,plain,
% 9.20/7.13 ((~v1(VarCurr!0)) <=> (~v1(constB170))),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38248])).
% 9.20/7.13 tff(38250,plain,
% 9.20/7.13 (~v1(constB170)),
% 9.20/7.13 inference(modus_ponens,[status(thm)],[37809, 38249])).
% 9.20/7.13 tff(38251,plain,
% 9.20/7.13 ($false),
% 9.20/7.13 inference(unit_resolution,[status(thm)],[21941, 38250])).
% 9.20/7.13 tff(38252,plain,(~(constB170 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.13 tff(38253,assumption,(constB112 = VarCurr!0), introduced(assumption)).
% 9.20/7.13 tff(38254,plain,
% 9.20/7.13 (v1(constB112) <=> v1(VarCurr!0)),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38253])).
% 9.20/7.13 tff(38255,plain,
% 9.20/7.13 (v1(VarCurr!0) <=> v1(constB112)),
% 9.20/7.13 inference(symmetry,[status(thm)],[38254])).
% 9.20/7.13 tff(38256,plain,
% 9.20/7.13 ((~v1(VarCurr!0)) <=> (~v1(constB112))),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38255])).
% 9.20/7.13 tff(38257,plain,
% 9.20/7.13 (~v1(constB112)),
% 9.20/7.13 inference(modus_ponens,[status(thm)],[37809, 38256])).
% 9.20/7.13 tff(38258,plain,
% 9.20/7.13 ($false),
% 9.20/7.13 inference(unit_resolution,[status(thm)],[13883, 38257])).
% 9.20/7.13 tff(38259,plain,(~(constB112 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.13 tff(38260,assumption,(constB128 = VarCurr!0), introduced(assumption)).
% 9.20/7.13 tff(38261,plain,
% 9.20/7.13 (v1(constB128) <=> v1(VarCurr!0)),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38260])).
% 9.20/7.13 tff(38262,plain,
% 9.20/7.13 (v1(VarCurr!0) <=> v1(constB128)),
% 9.20/7.13 inference(symmetry,[status(thm)],[38261])).
% 9.20/7.13 tff(38263,plain,
% 9.20/7.13 ((~v1(VarCurr!0)) <=> (~v1(constB128))),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38262])).
% 9.20/7.13 tff(38264,plain,
% 9.20/7.13 (~v1(constB128)),
% 9.20/7.13 inference(modus_ponens,[status(thm)],[37809, 38263])).
% 9.20/7.13 tff(38265,plain,
% 9.20/7.13 ($false),
% 9.20/7.13 inference(unit_resolution,[status(thm)],[18585, 38264])).
% 9.20/7.13 tff(38266,plain,(~(constB128 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.13 tff(38267,assumption,(constB54 = VarCurr!0), introduced(assumption)).
% 9.20/7.13 tff(38268,plain,
% 9.20/7.13 (v1(constB54) <=> v1(VarCurr!0)),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38267])).
% 9.20/7.13 tff(38269,plain,
% 9.20/7.13 (v1(VarCurr!0) <=> v1(constB54)),
% 9.20/7.13 inference(symmetry,[status(thm)],[38268])).
% 9.20/7.13 tff(38270,plain,
% 9.20/7.13 ((~v1(VarCurr!0)) <=> (~v1(constB54))),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38269])).
% 9.20/7.13 tff(38271,plain,
% 9.20/7.13 (~v1(constB54)),
% 9.20/7.13 inference(modus_ponens,[status(thm)],[37809, 38270])).
% 9.20/7.13 tff(38272,plain,
% 9.20/7.13 ($false),
% 9.20/7.13 inference(unit_resolution,[status(thm)],[7608, 38271])).
% 9.20/7.13 tff(38273,plain,(~(constB54 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.13 tff(38274,assumption,(constB152 = VarCurr!0), introduced(assumption)).
% 9.20/7.13 tff(38275,plain,
% 9.20/7.13 (v1(constB152) <=> v1(VarCurr!0)),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38274])).
% 9.20/7.13 tff(38276,plain,
% 9.20/7.13 (v1(VarCurr!0) <=> v1(constB152)),
% 9.20/7.13 inference(symmetry,[status(thm)],[38275])).
% 9.20/7.13 tff(38277,plain,
% 9.20/7.13 ((~v1(VarCurr!0)) <=> (~v1(constB152))),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38276])).
% 9.20/7.13 tff(38278,plain,
% 9.20/7.13 (~v1(constB152)),
% 9.20/7.13 inference(modus_ponens,[status(thm)],[37809, 38277])).
% 9.20/7.13 tff(38279,plain,
% 9.20/7.13 ($false),
% 9.20/7.13 inference(unit_resolution,[status(thm)],[20500, 38278])).
% 9.20/7.13 tff(38280,plain,(~(constB152 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.13 tff(38281,assumption,(constB164 = VarCurr!0), introduced(assumption)).
% 9.20/7.13 tff(38282,plain,
% 9.20/7.13 (v1(constB164) <=> v1(VarCurr!0)),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38281])).
% 9.20/7.13 tff(38283,plain,
% 9.20/7.13 (v1(VarCurr!0) <=> v1(constB164)),
% 9.20/7.13 inference(symmetry,[status(thm)],[38282])).
% 9.20/7.13 tff(38284,plain,
% 9.20/7.13 ((~v1(VarCurr!0)) <=> (~v1(constB164))),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38283])).
% 9.20/7.13 tff(38285,plain,
% 9.20/7.13 (~v1(constB164)),
% 9.20/7.13 inference(modus_ponens,[status(thm)],[37809, 38284])).
% 9.20/7.13 tff(38286,plain,
% 9.20/7.13 ($false),
% 9.20/7.13 inference(unit_resolution,[status(thm)],[21447, 38285])).
% 9.20/7.13 tff(38287,plain,(~(constB164 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.13 tff(38288,assumption,(constB76 = VarCurr!0), introduced(assumption)).
% 9.20/7.13 tff(38289,plain,
% 9.20/7.13 (v1(constB76) <=> v1(VarCurr!0)),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38288])).
% 9.20/7.13 tff(38290,plain,
% 9.20/7.13 (v1(VarCurr!0) <=> v1(constB76)),
% 9.20/7.13 inference(symmetry,[status(thm)],[38289])).
% 9.20/7.13 tff(38291,plain,
% 9.20/7.13 ((~v1(VarCurr!0)) <=> (~v1(constB76))),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38290])).
% 9.20/7.13 tff(38292,plain,
% 9.20/7.13 (~v1(constB76)),
% 9.20/7.13 inference(modus_ponens,[status(thm)],[37809, 38291])).
% 9.20/7.13 tff(38293,plain,
% 9.20/7.13 ($false),
% 9.20/7.13 inference(unit_resolution,[status(thm)],[9406, 38292])).
% 9.20/7.13 tff(38294,plain,(~(constB76 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.13 tff(38295,assumption,(constB18 = VarCurr!0), introduced(assumption)).
% 9.20/7.13 tff(38296,plain,
% 9.20/7.13 (v1(constB18) <=> v1(VarCurr!0)),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38295])).
% 9.20/7.13 tff(38297,plain,
% 9.20/7.13 (v1(VarCurr!0) <=> v1(constB18)),
% 9.20/7.13 inference(symmetry,[status(thm)],[38296])).
% 9.20/7.13 tff(38298,plain,
% 9.20/7.13 ((~v1(VarCurr!0)) <=> (~v1(constB18))),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38297])).
% 9.20/7.13 tff(38299,plain,
% 9.20/7.13 (~v1(constB18)),
% 9.20/7.13 inference(modus_ponens,[status(thm)],[37809, 38298])).
% 9.20/7.13 tff(38300,plain,
% 9.20/7.13 ($false),
% 9.20/7.13 inference(unit_resolution,[status(thm)],[4746, 38299])).
% 9.20/7.13 tff(38301,plain,(~(constB18 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.13 tff(38302,assumption,(constB148 = VarCurr!0), introduced(assumption)).
% 9.20/7.13 tff(38303,plain,
% 9.20/7.13 (v1(constB148) <=> v1(VarCurr!0)),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38302])).
% 9.20/7.13 tff(38304,plain,
% 9.20/7.13 (v1(VarCurr!0) <=> v1(constB148)),
% 9.20/7.13 inference(symmetry,[status(thm)],[38303])).
% 9.20/7.13 tff(38305,plain,
% 9.20/7.13 ((~v1(VarCurr!0)) <=> (~v1(constB148))),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38304])).
% 9.20/7.13 tff(38306,plain,
% 9.20/7.13 (~v1(constB148)),
% 9.20/7.13 inference(modus_ponens,[status(thm)],[37809, 38305])).
% 9.20/7.13 tff(38307,plain,
% 9.20/7.13 ($false),
% 9.20/7.13 inference(unit_resolution,[status(thm)],[20184, 38306])).
% 9.20/7.13 tff(38308,plain,(~(constB148 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.13 tff(38309,assumption,(constB34 = VarCurr!0), introduced(assumption)).
% 9.20/7.13 tff(38310,plain,
% 9.20/7.13 (v1(constB34) <=> v1(VarCurr!0)),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38309])).
% 9.20/7.13 tff(38311,plain,
% 9.20/7.13 (v1(VarCurr!0) <=> v1(constB34)),
% 9.20/7.13 inference(symmetry,[status(thm)],[38310])).
% 9.20/7.13 tff(38312,plain,
% 9.20/7.13 ((~v1(VarCurr!0)) <=> (~v1(constB34))),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38311])).
% 9.20/7.13 tff(38313,plain,
% 9.20/7.13 (~v1(constB34)),
% 9.20/7.13 inference(modus_ponens,[status(thm)],[37809, 38312])).
% 9.20/7.13 tff(38314,plain,
% 9.20/7.13 ($false),
% 9.20/7.13 inference(unit_resolution,[status(thm)],[6009, 38313])).
% 9.20/7.13 tff(38315,plain,(~(constB34 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.13 tff(38316,assumption,(constB42 = VarCurr!0), introduced(assumption)).
% 9.20/7.13 tff(38317,plain,
% 9.20/7.13 (v1(constB42) <=> v1(VarCurr!0)),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38316])).
% 9.20/7.13 tff(38318,plain,
% 9.20/7.13 (v1(VarCurr!0) <=> v1(constB42)),
% 9.20/7.13 inference(symmetry,[status(thm)],[38317])).
% 9.20/7.13 tff(38319,plain,
% 9.20/7.13 ((~v1(VarCurr!0)) <=> (~v1(constB42))),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38318])).
% 9.20/7.13 tff(38320,plain,
% 9.20/7.13 (~v1(constB42)),
% 9.20/7.13 inference(modus_ponens,[status(thm)],[37809, 38319])).
% 9.20/7.13 tff(38321,plain,
% 9.20/7.13 ($false),
% 9.20/7.13 inference(unit_resolution,[status(thm)],[6661, 38320])).
% 9.20/7.13 tff(38322,plain,(~(constB42 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.13 tff(38323,assumption,(constB98 = VarCurr!0), introduced(assumption)).
% 9.20/7.13 tff(38324,plain,
% 9.20/7.13 (v1(constB98) <=> v1(VarCurr!0)),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38323])).
% 9.20/7.13 tff(38325,plain,
% 9.20/7.13 (v1(VarCurr!0) <=> v1(constB98)),
% 9.20/7.13 inference(symmetry,[status(thm)],[38324])).
% 9.20/7.13 tff(38326,plain,
% 9.20/7.13 ((~v1(VarCurr!0)) <=> (~v1(constB98))),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38325])).
% 9.20/7.13 tff(38327,plain,
% 9.20/7.13 (~v1(constB98)),
% 9.20/7.13 inference(modus_ponens,[status(thm)],[37809, 38326])).
% 9.20/7.13 tff(38328,plain,
% 9.20/7.13 ($false),
% 9.20/7.13 inference(unit_resolution,[status(thm)],[12766, 38327])).
% 9.20/7.13 tff(38329,plain,(~(constB98 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.13 tff(38330,assumption,(constB182 = VarCurr!0), introduced(assumption)).
% 9.20/7.13 tff(38331,plain,
% 9.20/7.13 (v1(constB182) <=> v1(VarCurr!0)),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38330])).
% 9.20/7.13 tff(38332,plain,
% 9.20/7.13 (v1(VarCurr!0) <=> v1(constB182)),
% 9.20/7.13 inference(symmetry,[status(thm)],[38331])).
% 9.20/7.13 tff(38333,plain,
% 9.20/7.13 ((~v1(VarCurr!0)) <=> (~v1(constB182))),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38332])).
% 9.20/7.13 tff(38334,plain,
% 9.20/7.13 (~v1(constB182)),
% 9.20/7.13 inference(modus_ponens,[status(thm)],[37809, 38333])).
% 9.20/7.13 tff(38335,plain,
% 9.20/7.13 ($false),
% 9.20/7.13 inference(unit_resolution,[status(thm)],[22897, 38334])).
% 9.20/7.13 tff(38336,plain,(~(constB182 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.13 tff(38337,assumption,(constB144 = VarCurr!0), introduced(assumption)).
% 9.20/7.13 tff(38338,plain,
% 9.20/7.13 (v1(constB144) <=> v1(VarCurr!0)),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38337])).
% 9.20/7.13 tff(38339,plain,
% 9.20/7.13 (v1(VarCurr!0) <=> v1(constB144)),
% 9.20/7.13 inference(symmetry,[status(thm)],[38338])).
% 9.20/7.13 tff(38340,plain,
% 9.20/7.13 ((~v1(VarCurr!0)) <=> (~v1(constB144))),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38339])).
% 9.20/7.13 tff(38341,plain,
% 9.20/7.13 (~v1(constB144)),
% 9.20/7.13 inference(modus_ponens,[status(thm)],[37809, 38340])).
% 9.20/7.13 tff(38342,plain,
% 9.20/7.13 ($false),
% 9.20/7.13 inference(unit_resolution,[status(thm)],[19848, 38341])).
% 9.20/7.13 tff(38343,plain,(~(constB144 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.13 tff(38344,assumption,(constB102 = VarCurr!0), introduced(assumption)).
% 9.20/7.13 tff(38345,plain,
% 9.20/7.13 (v1(constB102) <=> v1(VarCurr!0)),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38344])).
% 9.20/7.13 tff(38346,plain,
% 9.20/7.13 (v1(VarCurr!0) <=> v1(constB102)),
% 9.20/7.13 inference(symmetry,[status(thm)],[38345])).
% 9.20/7.13 tff(38347,plain,
% 9.20/7.13 ((~v1(VarCurr!0)) <=> (~v1(constB102))),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38346])).
% 9.20/7.13 tff(38348,plain,
% 9.20/7.13 (~v1(constB102)),
% 9.20/7.13 inference(modus_ponens,[status(thm)],[37809, 38347])).
% 9.20/7.13 tff(38349,plain,
% 9.20/7.13 ($false),
% 9.20/7.13 inference(unit_resolution,[status(thm)],[13082, 38348])).
% 9.20/7.13 tff(38350,plain,(~(constB102 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.13 tff(38351,assumption,(constB114 = VarCurr!0), introduced(assumption)).
% 9.20/7.13 tff(38352,plain,
% 9.20/7.13 (v1(constB114) <=> v1(VarCurr!0)),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38351])).
% 9.20/7.13 tff(38353,plain,
% 9.20/7.13 (v1(VarCurr!0) <=> v1(constB114)),
% 9.20/7.13 inference(symmetry,[status(thm)],[38352])).
% 9.20/7.13 tff(38354,plain,
% 9.20/7.13 ((~v1(VarCurr!0)) <=> (~v1(constB114))),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38353])).
% 9.20/7.13 tff(38355,plain,
% 9.20/7.13 (~v1(constB114)),
% 9.20/7.13 inference(modus_ponens,[status(thm)],[37809, 38354])).
% 9.20/7.13 tff(38356,plain,
% 9.20/7.13 ($false),
% 9.20/7.13 inference(unit_resolution,[status(thm)],[14029, 38355])).
% 9.20/7.13 tff(38357,plain,(~(constB114 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.13 tff(38358,assumption,(constB122 = VarCurr!0), introduced(assumption)).
% 9.20/7.13 tff(38359,plain,
% 9.20/7.13 (v1(constB122) <=> v1(VarCurr!0)),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38358])).
% 9.20/7.13 tff(38360,plain,
% 9.20/7.13 (v1(VarCurr!0) <=> v1(constB122)),
% 9.20/7.13 inference(symmetry,[status(thm)],[38359])).
% 9.20/7.13 tff(38361,plain,
% 9.20/7.13 ((~v1(VarCurr!0)) <=> (~v1(constB122))),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38360])).
% 9.20/7.13 tff(38362,plain,
% 9.20/7.13 (~v1(constB122)),
% 9.20/7.13 inference(modus_ponens,[status(thm)],[37809, 38361])).
% 9.20/7.13 tff(38363,plain,
% 9.20/7.13 ($false),
% 9.20/7.13 inference(unit_resolution,[status(thm)],[18100, 38362])).
% 9.20/7.13 tff(38364,plain,(~(constB122 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.13 tff(38365,assumption,(constB194 = VarCurr!0), introduced(assumption)).
% 9.20/7.13 tff(38366,plain,
% 9.20/7.13 (v1(constB194) <=> v1(VarCurr!0)),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38365])).
% 9.20/7.13 tff(38367,plain,
% 9.20/7.13 (v1(VarCurr!0) <=> v1(constB194)),
% 9.20/7.13 inference(symmetry,[status(thm)],[38366])).
% 9.20/7.13 tff(38368,plain,
% 9.20/7.13 ((~v1(VarCurr!0)) <=> (~v1(constB194))),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38367])).
% 9.20/7.13 tff(38369,plain,
% 9.20/7.13 (~v1(constB194)),
% 9.20/7.13 inference(modus_ponens,[status(thm)],[37809, 38368])).
% 9.20/7.13 tff(38370,plain,
% 9.20/7.13 ($false),
% 9.20/7.13 inference(unit_resolution,[status(thm)],[23844, 38369])).
% 9.20/7.13 tff(38371,plain,(~(constB194 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.13 tff(38372,assumption,(constB28 = VarCurr!0), introduced(assumption)).
% 9.20/7.13 tff(38373,plain,
% 9.20/7.13 (v1(constB28) <=> v1(VarCurr!0)),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38372])).
% 9.20/7.13 tff(38374,plain,
% 9.20/7.13 (v1(VarCurr!0) <=> v1(constB28)),
% 9.20/7.13 inference(symmetry,[status(thm)],[38373])).
% 9.20/7.13 tff(38375,plain,
% 9.20/7.13 ((~v1(VarCurr!0)) <=> (~v1(constB28))),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38374])).
% 9.20/7.13 tff(38376,plain,
% 9.20/7.13 (~v1(constB28)),
% 9.20/7.13 inference(modus_ponens,[status(thm)],[37809, 38375])).
% 9.20/7.13 tff(38377,plain,
% 9.20/7.13 ($false),
% 9.20/7.13 inference(unit_resolution,[status(thm)],[5547, 38376])).
% 9.20/7.13 tff(38378,plain,(~(constB28 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.13 tff(38379,assumption,(constB166 = VarCurr!0), introduced(assumption)).
% 9.20/7.13 tff(38380,plain,
% 9.20/7.13 (v1(constB166) <=> v1(VarCurr!0)),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38379])).
% 9.20/7.13 tff(38381,plain,
% 9.20/7.13 (v1(VarCurr!0) <=> v1(constB166)),
% 9.20/7.13 inference(symmetry,[status(thm)],[38380])).
% 9.20/7.13 tff(38382,plain,
% 9.20/7.13 ((~v1(VarCurr!0)) <=> (~v1(constB166))),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38381])).
% 9.20/7.13 tff(38383,plain,
% 9.20/7.13 (~v1(constB166)),
% 9.20/7.13 inference(modus_ponens,[status(thm)],[37809, 38382])).
% 9.20/7.13 tff(38384,plain,
% 9.20/7.13 ($false),
% 9.20/7.13 inference(unit_resolution,[status(thm)],[21625, 38383])).
% 9.20/7.13 tff(38385,plain,(~(constB166 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.13 tff(38386,assumption,(constB140 = VarCurr!0), introduced(assumption)).
% 9.20/7.13 tff(38387,plain,
% 9.20/7.13 (v1(constB140) <=> v1(VarCurr!0)),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38386])).
% 9.20/7.13 tff(38388,plain,
% 9.20/7.13 (v1(VarCurr!0) <=> v1(constB140)),
% 9.20/7.13 inference(symmetry,[status(thm)],[38387])).
% 9.20/7.13 tff(38389,plain,
% 9.20/7.13 ((~v1(VarCurr!0)) <=> (~v1(constB140))),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38388])).
% 9.20/7.13 tff(38390,plain,
% 9.20/7.13 (~v1(constB140)),
% 9.20/7.13 inference(modus_ponens,[status(thm)],[37809, 38389])).
% 9.20/7.13 tff(38391,plain,
% 9.20/7.13 ($false),
% 9.20/7.13 inference(unit_resolution,[status(thm)],[19544, 38390])).
% 9.20/7.13 tff(38392,plain,(~(constB140 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.13 tff(38393,assumption,(constB162 = VarCurr!0), introduced(assumption)).
% 9.20/7.13 tff(38394,plain,
% 9.20/7.13 (v1(constB162) <=> v1(VarCurr!0)),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38393])).
% 9.20/7.13 tff(38395,plain,
% 9.20/7.13 (v1(VarCurr!0) <=> v1(constB162)),
% 9.20/7.13 inference(symmetry,[status(thm)],[38394])).
% 9.20/7.13 tff(38396,plain,
% 9.20/7.13 ((~v1(VarCurr!0)) <=> (~v1(constB162))),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38395])).
% 9.20/7.13 tff(38397,plain,
% 9.20/7.13 (~v1(constB162)),
% 9.20/7.13 inference(modus_ponens,[status(thm)],[37809, 38396])).
% 9.20/7.13 tff(38398,plain,
% 9.20/7.13 ($false),
% 9.20/7.13 inference(unit_resolution,[status(thm)],[21298, 38397])).
% 9.20/7.13 tff(38399,plain,(~(constB162 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.13 tff(38400,assumption,(constB126 = VarCurr!0), introduced(assumption)).
% 9.20/7.13 tff(38401,plain,
% 9.20/7.13 (v1(constB126) <=> v1(VarCurr!0)),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38400])).
% 9.20/7.13 tff(38402,plain,
% 9.20/7.13 (v1(VarCurr!0) <=> v1(constB126)),
% 9.20/7.13 inference(symmetry,[status(thm)],[38401])).
% 9.20/7.13 tff(38403,plain,
% 9.20/7.13 ((~v1(VarCurr!0)) <=> (~v1(constB126))),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38402])).
% 9.20/7.13 tff(38404,plain,
% 9.20/7.13 (~v1(constB126)),
% 9.20/7.13 inference(modus_ponens,[status(thm)],[37809, 38403])).
% 9.20/7.13 tff(38405,plain,
% 9.20/7.13 ($false),
% 9.20/7.13 inference(unit_resolution,[status(thm)],[18427, 38404])).
% 9.20/7.13 tff(38406,plain,(~(constB126 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.13 tff(38407,assumption,(constB84 = VarCurr!0), introduced(assumption)).
% 9.20/7.13 tff(38408,plain,
% 9.20/7.13 (v1(constB84) <=> v1(VarCurr!0)),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38407])).
% 9.20/7.13 tff(38409,plain,
% 9.20/7.13 (v1(VarCurr!0) <=> v1(constB84)),
% 9.20/7.13 inference(symmetry,[status(thm)],[38408])).
% 9.20/7.13 tff(38410,plain,
% 9.20/7.13 ((~v1(VarCurr!0)) <=> (~v1(constB84))),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38409])).
% 9.20/7.13 tff(38411,plain,
% 9.20/7.13 (~v1(constB84)),
% 9.20/7.13 inference(modus_ponens,[status(thm)],[37809, 38410])).
% 9.20/7.13 tff(38412,plain,
% 9.20/7.13 ($false),
% 9.20/7.13 inference(unit_resolution,[status(thm)],[11632, 38411])).
% 9.20/7.13 tff(38413,plain,(~(constB84 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.13 tff(38414,assumption,(constB116 = VarCurr!0), introduced(assumption)).
% 9.20/7.13 tff(38415,plain,
% 9.20/7.13 (v1(constB116) <=> v1(VarCurr!0)),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38414])).
% 9.20/7.13 tff(38416,plain,
% 9.20/7.13 (v1(VarCurr!0) <=> v1(constB116)),
% 9.20/7.13 inference(symmetry,[status(thm)],[38415])).
% 9.20/7.13 tff(38417,plain,
% 9.20/7.13 ((~v1(VarCurr!0)) <=> (~v1(constB116))),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38416])).
% 9.20/7.13 tff(38418,plain,
% 9.20/7.13 (~v1(constB116)),
% 9.20/7.13 inference(modus_ponens,[status(thm)],[37809, 38417])).
% 9.20/7.13 tff(38419,plain,
% 9.20/7.13 ($false),
% 9.20/7.13 inference(unit_resolution,[status(thm)],[10202, 38418])).
% 9.20/7.13 tff(38420,plain,(~(constB116 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.13 tff(38421,assumption,(constB160 = VarCurr!0), introduced(assumption)).
% 9.20/7.13 tff(38422,plain,
% 9.20/7.13 (v1(constB160) <=> v1(VarCurr!0)),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38421])).
% 9.20/7.13 tff(38423,plain,
% 9.20/7.13 (v1(VarCurr!0) <=> v1(constB160)),
% 9.20/7.13 inference(symmetry,[status(thm)],[38422])).
% 9.20/7.13 tff(38424,plain,
% 9.20/7.13 ((~v1(VarCurr!0)) <=> (~v1(constB160))),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38423])).
% 9.20/7.13 tff(38425,plain,
% 9.20/7.13 (~v1(constB160)),
% 9.20/7.13 inference(modus_ponens,[status(thm)],[37809, 38424])).
% 9.20/7.13 tff(38426,plain,
% 9.20/7.13 ($false),
% 9.20/7.13 inference(unit_resolution,[status(thm)],[21143, 38425])).
% 9.20/7.13 tff(38427,plain,(~(constB160 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.13 tff(38428,assumption,(constB104 = VarCurr!0), introduced(assumption)).
% 9.20/7.13 tff(38429,plain,
% 9.20/7.13 (v1(constB104) <=> v1(VarCurr!0)),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38428])).
% 9.20/7.13 tff(38430,plain,
% 9.20/7.13 (v1(VarCurr!0) <=> v1(constB104)),
% 9.20/7.13 inference(symmetry,[status(thm)],[38429])).
% 9.20/7.13 tff(38431,plain,
% 9.20/7.13 ((~v1(VarCurr!0)) <=> (~v1(constB104))),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38430])).
% 9.20/7.13 tff(38432,plain,
% 9.20/7.13 (~v1(constB104)),
% 9.20/7.13 inference(modus_ponens,[status(thm)],[37809, 38431])).
% 9.20/7.13 tff(38433,plain,
% 9.20/7.13 ($false),
% 9.20/7.13 inference(unit_resolution,[status(thm)],[13231, 38432])).
% 9.20/7.13 tff(38434,plain,(~(constB104 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.13 tff(38435,assumption,(constB92 = VarCurr!0), introduced(assumption)).
% 9.20/7.13 tff(38436,plain,
% 9.20/7.13 (v1(constB92) <=> v1(VarCurr!0)),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38435])).
% 9.20/7.13 tff(38437,plain,
% 9.20/7.13 (v1(VarCurr!0) <=> v1(constB92)),
% 9.20/7.13 inference(symmetry,[status(thm)],[38436])).
% 9.20/7.13 tff(38438,plain,
% 9.20/7.13 ((~v1(VarCurr!0)) <=> (~v1(constB92))),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38437])).
% 9.20/7.13 tff(38439,plain,
% 9.20/7.13 (~v1(constB92)),
% 9.20/7.13 inference(modus_ponens,[status(thm)],[37809, 38438])).
% 9.20/7.13 tff(38440,plain,
% 9.20/7.13 ($false),
% 9.20/7.13 inference(unit_resolution,[status(thm)],[12284, 38439])).
% 9.20/7.13 tff(38441,plain,(~(constB92 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.13 tff(38442,assumption,(constB176 = VarCurr!0), introduced(assumption)).
% 9.20/7.13 tff(38443,plain,
% 9.20/7.13 (v1(constB176) <=> v1(VarCurr!0)),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38442])).
% 9.20/7.13 tff(38444,plain,
% 9.20/7.13 (v1(VarCurr!0) <=> v1(constB176)),
% 9.20/7.13 inference(symmetry,[status(thm)],[38443])).
% 9.20/7.13 tff(38445,plain,
% 9.20/7.13 ((~v1(VarCurr!0)) <=> (~v1(constB176))),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38444])).
% 9.20/7.13 tff(38446,plain,
% 9.20/7.13 (~v1(constB176)),
% 9.20/7.13 inference(modus_ponens,[status(thm)],[37809, 38445])).
% 9.20/7.13 tff(38447,plain,
% 9.20/7.13 ($false),
% 9.20/7.13 inference(unit_resolution,[status(thm)],[22444, 38446])).
% 9.20/7.13 tff(38448,plain,(~(constB176 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.13 tff(38449,assumption,(constB134 = VarCurr!0), introduced(assumption)).
% 9.20/7.13 tff(38450,plain,
% 9.20/7.13 (v1(constB134) <=> v1(VarCurr!0)),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38449])).
% 9.20/7.13 tff(38451,plain,
% 9.20/7.13 (v1(VarCurr!0) <=> v1(constB134)),
% 9.20/7.13 inference(symmetry,[status(thm)],[38450])).
% 9.20/7.13 tff(38452,plain,
% 9.20/7.13 ((~v1(VarCurr!0)) <=> (~v1(constB134))),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38451])).
% 9.20/7.13 tff(38453,plain,
% 9.20/7.13 (~v1(constB134)),
% 9.20/7.13 inference(modus_ponens,[status(thm)],[37809, 38452])).
% 9.20/7.13 tff(38454,plain,
% 9.20/7.13 ($false),
% 9.20/7.13 inference(unit_resolution,[status(thm)],[19047, 38453])).
% 9.20/7.13 tff(38455,plain,(~(constB134 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.13 tff(38456,assumption,(constB10 = VarCurr!0), introduced(assumption)).
% 9.20/7.13 tff(38457,plain,
% 9.20/7.13 (v1(constB10) <=> v1(VarCurr!0)),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38456])).
% 9.20/7.13 tff(38458,plain,
% 9.20/7.13 (v1(VarCurr!0) <=> v1(constB10)),
% 9.20/7.13 inference(symmetry,[status(thm)],[38457])).
% 9.20/7.13 tff(38459,plain,
% 9.20/7.13 ((~v1(VarCurr!0)) <=> (~v1(constB10))),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38458])).
% 9.20/7.13 tff(38460,plain,
% 9.20/7.13 (~v1(constB10)),
% 9.20/7.13 inference(modus_ponens,[status(thm)],[37809, 38459])).
% 9.20/7.13 tff(38461,plain,
% 9.20/7.13 ($false),
% 9.20/7.13 inference(unit_resolution,[status(thm)],[4093, 38460])).
% 9.20/7.13 tff(38462,plain,(~(constB10 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.13 tff(38463,assumption,(constB94 = VarCurr!0), introduced(assumption)).
% 9.20/7.13 tff(38464,plain,
% 9.20/7.13 (v1(constB94) <=> v1(VarCurr!0)),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38463])).
% 9.20/7.13 tff(38465,plain,
% 9.20/7.13 (v1(VarCurr!0) <=> v1(constB94)),
% 9.20/7.13 inference(symmetry,[status(thm)],[38464])).
% 9.20/7.13 tff(38466,plain,
% 9.20/7.13 ((~v1(VarCurr!0)) <=> (~v1(constB94))),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38465])).
% 9.20/7.13 tff(38467,plain,
% 9.20/7.13 (~v1(constB94)),
% 9.20/7.13 inference(modus_ponens,[status(thm)],[37809, 38466])).
% 9.20/7.13 tff(38468,plain,
% 9.20/7.13 ($false),
% 9.20/7.13 inference(unit_resolution,[status(thm)],[12430, 38467])).
% 9.20/7.13 tff(38469,plain,(~(constB94 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.13 tff(38470,assumption,(constB62 = VarCurr!0), introduced(assumption)).
% 9.20/7.13 tff(38471,plain,
% 9.20/7.13 (v1(constB62) <=> v1(VarCurr!0)),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38470])).
% 9.20/7.13 tff(38472,plain,
% 9.20/7.13 (v1(VarCurr!0) <=> v1(constB62)),
% 9.20/7.13 inference(symmetry,[status(thm)],[38471])).
% 9.20/7.13 tff(38473,plain,
% 9.20/7.13 ((~v1(VarCurr!0)) <=> (~v1(constB62))),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38472])).
% 9.20/7.13 tff(38474,plain,
% 9.20/7.13 (~v1(constB62)),
% 9.20/7.13 inference(modus_ponens,[status(thm)],[37809, 38473])).
% 9.20/7.13 tff(38475,plain,
% 9.20/7.13 ($false),
% 9.20/7.13 inference(unit_resolution,[status(thm)],[8260, 38474])).
% 9.20/7.13 tff(38476,plain,(~(constB62 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.13 tff(38477,assumption,(constB138 = VarCurr!0), introduced(assumption)).
% 9.20/7.13 tff(38478,plain,
% 9.20/7.13 (v1(constB138) <=> v1(VarCurr!0)),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38477])).
% 9.20/7.13 tff(38479,plain,
% 9.20/7.13 (v1(VarCurr!0) <=> v1(constB138)),
% 9.20/7.13 inference(symmetry,[status(thm)],[38478])).
% 9.20/7.13 tff(38480,plain,
% 9.20/7.13 ((~v1(VarCurr!0)) <=> (~v1(constB138))),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38479])).
% 9.20/7.13 tff(38481,plain,
% 9.20/7.13 (~v1(constB138)),
% 9.20/7.13 inference(modus_ponens,[status(thm)],[37809, 38480])).
% 9.20/7.13 tff(38482,plain,
% 9.20/7.13 ($false),
% 9.20/7.13 inference(unit_resolution,[status(thm)],[19383, 38481])).
% 9.20/7.13 tff(38483,plain,(~(constB138 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.13 tff(38484,assumption,(constB174 = VarCurr!0), introduced(assumption)).
% 9.20/7.13 tff(38485,plain,
% 9.20/7.13 (v1(constB174) <=> v1(VarCurr!0)),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38484])).
% 9.20/7.13 tff(38486,plain,
% 9.20/7.13 (v1(VarCurr!0) <=> v1(constB174)),
% 9.20/7.13 inference(symmetry,[status(thm)],[38485])).
% 9.20/7.13 tff(38487,plain,
% 9.20/7.13 ((~v1(VarCurr!0)) <=> (~v1(constB174))),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38486])).
% 9.20/7.13 tff(38488,plain,
% 9.20/7.13 (~v1(constB174)),
% 9.20/7.13 inference(modus_ponens,[status(thm)],[37809, 38487])).
% 9.20/7.13 tff(38489,plain,
% 9.20/7.13 ($false),
% 9.20/7.13 inference(unit_resolution,[status(thm)],[22245, 38488])).
% 9.20/7.13 tff(38490,plain,(~(constB174 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.13 tff(38491,assumption,(constB106 = VarCurr!0), introduced(assumption)).
% 9.20/7.13 tff(38492,plain,
% 9.20/7.13 (v1(constB106) <=> v1(VarCurr!0)),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38491])).
% 9.20/7.13 tff(38493,plain,
% 9.20/7.13 (v1(VarCurr!0) <=> v1(constB106)),
% 9.20/7.13 inference(symmetry,[status(thm)],[38492])).
% 9.20/7.13 tff(38494,plain,
% 9.20/7.13 ((~v1(VarCurr!0)) <=> (~v1(constB106))),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38493])).
% 9.20/7.13 tff(38495,plain,
% 9.20/7.13 (~v1(constB106)),
% 9.20/7.13 inference(modus_ponens,[status(thm)],[37809, 38494])).
% 9.20/7.13 tff(38496,plain,
% 9.20/7.13 ($false),
% 9.20/7.13 inference(unit_resolution,[status(thm)],[13409, 38495])).
% 9.20/7.13 tff(38497,plain,(~(constB106 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.13 tff(38498,assumption,(constB2 = VarCurr!0), introduced(assumption)).
% 9.20/7.13 tff(38499,plain,
% 9.20/7.13 (v1(constB2) <=> v1(VarCurr!0)),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38498])).
% 9.20/7.13 tff(38500,plain,
% 9.20/7.13 (v1(VarCurr!0) <=> v1(constB2)),
% 9.20/7.13 inference(symmetry,[status(thm)],[38499])).
% 9.20/7.13 tff(38501,plain,
% 9.20/7.13 ((~v1(VarCurr!0)) <=> (~v1(constB2))),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38500])).
% 9.20/7.13 tff(38502,plain,
% 9.20/7.13 (~v1(constB2)),
% 9.20/7.13 inference(modus_ponens,[status(thm)],[37809, 38501])).
% 9.20/7.13 tff(38503,plain,
% 9.20/7.13 ($false),
% 9.20/7.13 inference(unit_resolution,[status(thm)],[3270, 38502])).
% 9.20/7.13 tff(38504,plain,(~(constB2 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.13 tff(38505,assumption,(constB36 = VarCurr!0), introduced(assumption)).
% 9.20/7.13 tff(38506,plain,
% 9.20/7.13 (v1(constB36) <=> v1(VarCurr!0)),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38505])).
% 9.20/7.13 tff(38507,plain,
% 9.20/7.13 (v1(VarCurr!0) <=> v1(constB36)),
% 9.20/7.13 inference(symmetry,[status(thm)],[38506])).
% 9.20/7.13 tff(38508,plain,
% 9.20/7.13 ((~v1(VarCurr!0)) <=> (~v1(constB36))),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38507])).
% 9.20/7.13 tff(38509,plain,
% 9.20/7.13 (~v1(constB36)),
% 9.20/7.13 inference(modus_ponens,[status(thm)],[37809, 38508])).
% 9.20/7.13 tff(38510,plain,
% 9.20/7.13 ($false),
% 9.20/7.13 inference(unit_resolution,[status(thm)],[6208, 38509])).
% 9.20/7.13 tff(38511,plain,(~(constB36 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.13 tff(38512,assumption,(constB32 = VarCurr!0), introduced(assumption)).
% 9.20/7.13 tff(38513,plain,
% 9.20/7.13 (v1(constB32) <=> v1(VarCurr!0)),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38512])).
% 9.20/7.13 tff(38514,plain,
% 9.20/7.13 (v1(VarCurr!0) <=> v1(constB32)),
% 9.20/7.13 inference(symmetry,[status(thm)],[38513])).
% 9.20/7.13 tff(38515,plain,
% 9.20/7.13 ((~v1(VarCurr!0)) <=> (~v1(constB32))),
% 9.20/7.13 inference(monotonicity,[status(thm)],[38514])).
% 9.20/7.13 tff(38516,plain,
% 9.20/7.13 (~v1(constB32)),
% 9.20/7.13 inference(modus_ponens,[status(thm)],[37809, 38515])).
% 9.20/7.13 tff(38517,plain,
% 9.20/7.13 ($false),
% 9.20/7.13 inference(unit_resolution,[status(thm)],[5863, 38516])).
% 9.20/7.13 tff(38518,plain,(~(constB32 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.20/7.13 tff(38519,plain,
% 9.20/7.13 (reachableState(VarCurr!0)),
% 9.20/7.13 inference(or_elim,[status(thm)],[47])).
% 9.20/7.13 tff(38520,plain,
% 9.20/7.13 (^[VarState: $i] : refl(((constB200 = VarState) | (constB199 = VarState) | (constB198 = VarState) | (constB197 = VarState) | (constB196 = VarState) | (constB195 = VarState) | (constB194 = VarState) | (constB193 = VarState) | (constB192 = VarState) | (constB191 = VarState) | (constB190 = VarState) | (constB189 = VarState) | (constB188 = VarState) | (constB187 = VarState) | (constB186 = VarState) | (constB185 = VarState) | (constB184 = VarState) | (constB183 = VarState) | (constB182 = VarState) | (constB181 = VarState) | (constB180 = VarState) | (constB179 = VarState) | (constB178 = VarState) | (constB177 = VarState) | (constB176 = VarState) | (constB175 = VarState) | (constB174 = VarState) | (constB173 = VarState) | (constB172 = VarState) | (constB171 = VarState) | (constB170 = VarState) | (constB169 = VarState) | (constB168 = VarState) | (constB167 = VarState) | (constB166 = VarState) | (constB165 = VarState) | (constB164 = VarState) | (constB163 = VarState) | (constB162 = VarState) | (constB161 = VarState) | (constB160 = VarState) | (constB159 = VarState) | (constB158 = VarState) | (constB157 = VarState) | (constB156 = VarState) | (constB155 = VarState) | (constB154 = VarState) | (constB153 = VarState) | (constB152 = VarState) | (constB151 = VarState) | (constB150 = VarState) | (constB149 = VarState) | (constB148 = VarState) | (constB147 = VarState) | (constB146 = VarState) | (constB145 = VarState) | (constB144 = VarState) | (constB143 = VarState) | (constB142 = VarState) | (constB141 = VarState) | (constB140 = VarState) | (constB139 = VarState) | (constB138 = VarState) | (constB137 = VarState) | (constB136 = VarState) | (constB135 = VarState) | (constB134 = VarState) | (constB133 = VarState) | (constB132 = VarState) | (constB131 = VarState) | (constB130 = VarState) | (constB129 = VarState) | (constB128 = VarState) | (constB127 = VarState) | (constB126 = VarState) | (constB125 = VarState) | (constB124 = VarState) | (constB123 = VarState) | (constB122 = VarState) | (constB121 = VarState) | (constB120 = VarState) | (constB119 = VarState) | (constB118 = VarState) | (constB117 = VarState) | (constB116 = VarState) | (constB115 = VarState) | (constB114 = VarState) | (constB113 = VarState) | (constB112 = VarState) | (constB111 = VarState) | (constB110 = VarState) | (constB109 = VarState) | (constB108 = VarState) | (constB107 = VarState) | (constB106 = VarState) | (constB105 = VarState) | (constB104 = VarState) | (constB103 = VarState) | (constB102 = VarState) | (constB101 = VarState) | (constB100 = VarState) | (constB99 = VarState) | (constB98 = VarState) | (constB97 = VarState) | (constB96 = VarState) | (constB95 = VarState) | (constB94 = VarState) | (constB93 = VarState) | (constB92 = VarState) | (constB91 = VarState) | (constB90 = VarState) | (constB89 = VarState) | (constB88 = VarState) | (constB87 = VarState) | (constB86 = VarState) | (constB85 = VarState) | (constB84 = VarState) | (constB83 = VarState) | (constB82 = VarState) | (constB81 = VarState) | (constB80 = VarState) | (constB79 = VarState) | (constB78 = VarState) | (constB77 = VarState) | (constB76 = VarState) | (constB75 = VarState) | (constB74 = VarState) | (constB73 = VarState) | (constB72 = VarState) | (constB71 = VarState) | (constB70 = VarState) | (constB69 = VarState) | (constB68 = VarState) | (constB67 = VarState) | (constB66 = VarState) | (constB65 = VarState) | (constB64 = VarState) | (constB63 = VarState) | (constB62 = VarState) | (constB61 = VarState) | (constB60 = VarState) | (constB59 = VarState) | (constB58 = VarState) | (constB57 = VarState) | (constB56 = VarState) | (constB55 = VarState) | (constB54 = VarState) | (constB53 = VarState) | (constB52 = VarState) | (constB51 = VarState) | (constB50 = VarState) | (constB49 = VarState) | (constB48 = VarState) | (constB47 = VarState) | (constB46 = VarState) | (constB45 = VarState) | (constB44 = VarState) | (constB43 = VarState) | (constB42 = VarState) | (constB41 = VarState) | (constB40 = VarState) | (constB39 = VarState) | (constB38 = VarState) | (constB37 = VarState) | (constB36 = VarState) | (constB35 = VarState) | (constB34 = VarState) | (constB33 = VarState) | (constB32 = VarState) | (constB31 = VarState) | (constB30 = VarState) | (constB29 = VarState) | (constB28 = VarState) | (constB27 = VarState) | (constB26 = VarState) | (constB25 = VarState) | (constB24 = VarState) | (constB23 = VarState) | (constB22 = VarState) | (constB21 = VarState) | (constB20 = VarState) | (constB19 = VarState) | (constB18 = VarState) | (constB17 = VarState) | (constB16 = VarState) | (constB15 = VarState) | (constB14 = VarState) | (constB13 = VarState) | (constB12 = VarState) | (constB11 = VarState) | (constB10 = VarState) | (constB9 = VarState) | (constB8 = VarState) | (constB7 = VarState) | (constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState) | (~reachableState(VarState))) <=> ((constB200 = VarState) | (constB199 = VarState) | (constB198 = VarState) | (constB197 = VarState) | (constB196 = VarState) | (constB195 = VarState) | (constB194 = VarState) | (constB193 = VarState) | (constB192 = VarState) | (constB191 = VarState) | (constB190 = VarState) | (constB189 = VarState) | (constB188 = VarState) | (constB187 = VarState) | (constB186 = VarState) | (constB185 = VarState) | (constB184 = VarState) | (constB183 = VarState) | (constB182 = VarState) | (constB181 = VarState) | (constB180 = VarState) | (constB179 = VarState) | (constB178 = VarState) | (constB177 = VarState) | (constB176 = VarState) | (constB175 = VarState) | (constB174 = VarState) | (constB173 = VarState) | (constB172 = VarState) | (constB171 = VarState) | (constB170 = VarState) | (constB169 = VarState) | (constB168 = VarState) | (constB167 = VarState) | (constB166 = VarState) | (constB165 = VarState) | (constB164 = VarState) | (constB163 = VarState) | (constB162 = VarState) | (constB161 = VarState) | (constB160 = VarState) | (constB159 = VarState) | (constB158 = VarState) | (constB157 = VarState) | (constB156 = VarState) | (constB155 = VarState) | (constB154 = VarState) | (constB153 = VarState) | (constB152 = VarState) | (constB151 = VarState) | (constB150 = VarState) | (constB149 = VarState) | (constB148 = VarState) | (constB147 = VarState) | (constB146 = VarState) | (constB145 = VarState) | (constB144 = VarState) | (constB143 = VarState) | (constB142 = VarState) | (constB141 = VarState) | (constB140 = VarState) | (constB139 = VarState) | (constB138 = VarState) | (constB137 = VarState) | (constB136 = VarState) | (constB135 = VarState) | (constB134 = VarState) | (constB133 = VarState) | (constB132 = VarState) | (constB131 = VarState) | (constB130 = VarState) | (constB129 = VarState) | (constB128 = VarState) | (constB127 = VarState) | (constB126 = VarState) | (constB125 = VarState) | (constB124 = VarState) | (constB123 = VarState) | (constB122 = VarState) | (constB121 = VarState) | (constB120 = VarState) | (constB119 = VarState) | (constB118 = VarState) | (constB117 = VarState) | (constB116 = VarState) | (constB115 = VarState) | (constB114 = VarState) | (constB113 = VarState) | (constB112 = VarState) | (constB111 = VarState) | (constB110 = VarState) | (constB109 = VarState) | (constB108 = VarState) | (constB107 = VarState) | (constB106 = VarState) | (constB105 = VarState) | (constB104 = VarState) | (constB103 = VarState) | (constB102 = VarState) | (constB101 = VarState) | (constB100 = VarState) | (constB99 = VarState) | (constB98 = VarState) | (constB97 = VarState) | (constB96 = VarState) | (constB95 = VarState) | (constB94 = VarState) | (constB93 = VarState) | (constB92 = VarState) | (constB91 = VarState) | (constB90 = VarState) | (constB89 = VarState) | (constB88 = VarState) | (constB87 = VarState) | (constB86 = VarState) | (constB85 = VarState) | (constB84 = VarState) | (constB83 = VarState) | (constB82 = VarState) | (constB81 = VarState) | (constB80 = VarState) | (constB79 = VarState) | (constB78 = VarState) | (constB77 = VarState) | (constB76 = VarState) | (constB75 = VarState) | (constB74 = VarState) | (constB73 = VarState) | (constB72 = VarState) | (constB71 = VarState) | (constB70 = VarState) | (constB69 = VarState) | (constB68 = VarState) | (constB67 = VarState) | (constB66 = VarState) | (constB65 = VarState) | (constB64 = VarState) | (constB63 = VarState) | (constB62 = VarState) | (constB61 = VarState) | (constB60 = VarState) | (constB59 = VarState) | (constB58 = VarState) | (constB57 = VarState) | (constB56 = VarState) | (constB55 = VarState) | (constB54 = VarState) | (constB53 = VarState) | (constB52 = VarState) | (constB51 = VarState) | (constB50 = VarState) | (constB49 = VarState) | (constB48 = VarState) | (constB47 = VarState) | (constB46 = VarState) | (constB45 = VarState) | (constB44 = VarState) | (constB43 = VarState) | (constB42 = VarState) | (constB41 = VarState) | (constB40 = VarState) | (constB39 = VarState) | (constB38 = VarState) | (constB37 = VarState) | (constB36 = VarState) | (constB35 = VarState) | (constB34 = VarState) | (constB33 = VarState) | (constB32 = VarState) | (constB31 = VarState) | (constB30 = VarState) | (constB29 = VarState) | (constB28 = VarState) | (constB27 = VarState) | (constB26 = VarState) | (constB25 = VarState) | (constB24 = VarState) | (constB23 = VarState) | (constB22 = VarState) | (constB21 = VarState) | (constB20 = VarState) | (constB19 = VarState) | (constB18 = VarState) | (constB17 = VarState) | (constB16 = VarState) | (constB15 = VarState) | (constB14 = VarState) | (constB13 = VarState) | (constB12 = VarState) | (constB11 = VarState) | (constB10 = VarState) | (constB9 = VarState) | (constB8 = VarState) | (constB7 = VarState) | (constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState) | (~reachableState(VarState))))),
% 9.20/7.13 inference(bind,[status(th)],[])).
% 9.20/7.13 tff(38521,plain,
% 9.20/7.13 (![VarState: $i] : ((constB200 = VarState) | (constB199 = VarState) | (constB198 = VarState) | (constB197 = VarState) | (constB196 = VarState) | (constB195 = VarState) | (constB194 = VarState) | (constB193 = VarState) | (constB192 = VarState) | (constB191 = VarState) | (constB190 = VarState) | (constB189 = VarState) | (constB188 = VarState) | (constB187 = VarState) | (constB186 = VarState) | (constB185 = VarState) | (constB184 = VarState) | (constB183 = VarState) | (constB182 = VarState) | (constB181 = VarState) | (constB180 = VarState) | (constB179 = VarState) | (constB178 = VarState) | (constB177 = VarState) | (constB176 = VarState) | (constB175 = VarState) | (constB174 = VarState) | (constB173 = VarState) | (constB172 = VarState) | (constB171 = VarState) | (constB170 = VarState) | (constB169 = VarState) | (constB168 = VarState) | (constB167 = VarState) | (constB166 = VarState) | (constB165 = VarState) | (constB164 = VarState) | (constB163 = VarState) | (constB162 = VarState) | (constB161 = VarState) | (constB160 = VarState) | (constB159 = VarState) | (constB158 = VarState) | (constB157 = VarState) | (constB156 = VarState) | (constB155 = VarState) | (constB154 = VarState) | (constB153 = VarState) | (constB152 = VarState) | (constB151 = VarState) | (constB150 = VarState) | (constB149 = VarState) | (constB148 = VarState) | (constB147 = VarState) | (constB146 = VarState) | (constB145 = VarState) | (constB144 = VarState) | (constB143 = VarState) | (constB142 = VarState) | (constB141 = VarState) | (constB140 = VarState) | (constB139 = VarState) | (constB138 = VarState) | (constB137 = VarState) | (constB136 = VarState) | (constB135 = VarState) | (constB134 = VarState) | (constB133 = VarState) | (constB132 = VarState) | (constB131 = VarState) | (constB130 = VarState) | (constB129 = VarState) | (constB128 = VarState) | (constB127 = VarState) | (constB126 = VarState) | (constB125 = VarState) | (constB124 = VarState) | (constB123 = VarState) | (constB122 = VarState) | (constB121 = VarState) | (constB120 = VarState) | (constB119 = VarState) | (constB118 = VarState) | (constB117 = VarState) | (constB116 = VarState) | (constB115 = VarState) | (constB114 = VarState) | (constB113 = VarState) | (constB112 = VarState) | (constB111 = VarState) | (constB110 = VarState) | (constB109 = VarState) | (constB108 = VarState) | (constB107 = VarState) | (constB106 = VarState) | (constB105 = VarState) | (constB104 = VarState) | (constB103 = VarState) | (constB102 = VarState) | (constB101 = VarState) | (constB100 = VarState) | (constB99 = VarState) | (constB98 = VarState) | (constB97 = VarState) | (constB96 = VarState) | (constB95 = VarState) | (constB94 = VarState) | (constB93 = VarState) | (constB92 = VarState) | (constB91 = VarState) | (constB90 = VarState) | (constB89 = VarState) | (constB88 = VarState) | (constB87 = VarState) | (constB86 = VarState) | (constB85 = VarState) | (constB84 = VarState) | (constB83 = VarState) | (constB82 = VarState) | (constB81 = VarState) | (constB80 = VarState) | (constB79 = VarState) | (constB78 = VarState) | (constB77 = VarState) | (constB76 = VarState) | (constB75 = VarState) | (constB74 = VarState) | (constB73 = VarState) | (constB72 = VarState) | (constB71 = VarState) | (constB70 = VarState) | (constB69 = VarState) | (constB68 = VarState) | (constB67 = VarState) | (constB66 = VarState) | (constB65 = VarState) | (constB64 = VarState) | (constB63 = VarState) | (constB62 = VarState) | (constB61 = VarState) | (constB60 = VarState) | (constB59 = VarState) | (constB58 = VarState) | (constB57 = VarState) | (constB56 = VarState) | (constB55 = VarState) | (constB54 = VarState) | (constB53 = VarState) | (constB52 = VarState) | (constB51 = VarState) | (constB50 = VarState) | (constB49 = VarState) | (constB48 = VarState) | (constB47 = VarState) | (constB46 = VarState) | (constB45 = VarState) | (constB44 = VarState) | (constB43 = VarState) | (constB42 = VarState) | (constB41 = VarState) | (constB40 = VarState) | (constB39 = VarState) | (constB38 = VarState) | (constB37 = VarState) | (constB36 = VarState) | (constB35 = VarState) | (constB34 = VarState) | (constB33 = VarState) | (constB32 = VarState) | (constB31 = VarState) | (constB30 = VarState) | (constB29 = VarState) | (constB28 = VarState) | (constB27 = VarState) | (constB26 = VarState) | (constB25 = VarState) | (constB24 = VarState) | (constB23 = VarState) | (constB22 = VarState) | (constB21 = VarState) | (constB20 = VarState) | (constB19 = VarState) | (constB18 = VarState) | (constB17 = VarState) | (constB16 = VarState) | (constB15 = VarState) | (constB14 = VarState) | (constB13 = VarState) | (constB12 = VarState) | (constB11 = VarState) | (constB10 = VarState) | (constB9 = VarState) | (constB8 = VarState) | (constB7 = VarState) | (constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState) | (~reachableState(VarState))) <=> ![VarState: $i] : ((constB200 = VarState) | (constB199 = VarState) | (constB198 = VarState) | (constB197 = VarState) | (constB196 = VarState) | (constB195 = VarState) | (constB194 = VarState) | (constB193 = VarState) | (constB192 = VarState) | (constB191 = VarState) | (constB190 = VarState) | (constB189 = VarState) | (constB188 = VarState) | (constB187 = VarState) | (constB186 = VarState) | (constB185 = VarState) | (constB184 = VarState) | (constB183 = VarState) | (constB182 = VarState) | (constB181 = VarState) | (constB180 = VarState) | (constB179 = VarState) | (constB178 = VarState) | (constB177 = VarState) | (constB176 = VarState) | (constB175 = VarState) | (constB174 = VarState) | (constB173 = VarState) | (constB172 = VarState) | (constB171 = VarState) | (constB170 = VarState) | (constB169 = VarState) | (constB168 = VarState) | (constB167 = VarState) | (constB166 = VarState) | (constB165 = VarState) | (constB164 = VarState) | (constB163 = VarState) | (constB162 = VarState) | (constB161 = VarState) | (constB160 = VarState) | (constB159 = VarState) | (constB158 = VarState) | (constB157 = VarState) | (constB156 = VarState) | (constB155 = VarState) | (constB154 = VarState) | (constB153 = VarState) | (constB152 = VarState) | (constB151 = VarState) | (constB150 = VarState) | (constB149 = VarState) | (constB148 = VarState) | (constB147 = VarState) | (constB146 = VarState) | (constB145 = VarState) | (constB144 = VarState) | (constB143 = VarState) | (constB142 = VarState) | (constB141 = VarState) | (constB140 = VarState) | (constB139 = VarState) | (constB138 = VarState) | (constB137 = VarState) | (constB136 = VarState) | (constB135 = VarState) | (constB134 = VarState) | (constB133 = VarState) | (constB132 = VarState) | (constB131 = VarState) | (constB130 = VarState) | (constB129 = VarState) | (constB128 = VarState) | (constB127 = VarState) | (constB126 = VarState) | (constB125 = VarState) | (constB124 = VarState) | (constB123 = VarState) | (constB122 = VarState) | (constB121 = VarState) | (constB120 = VarState) | (constB119 = VarState) | (constB118 = VarState) | (constB117 = VarState) | (constB116 = VarState) | (constB115 = VarState) | (constB114 = VarState) | (constB113 = VarState) | (constB112 = VarState) | (constB111 = VarState) | (constB110 = VarState) | (constB109 = VarState) | (constB108 = VarState) | (constB107 = VarState) | (constB106 = VarState) | (constB105 = VarState) | (constB104 = VarState) | (constB103 = VarState) | (constB102 = VarState) | (constB101 = VarState) | (constB100 = VarState) | (constB99 = VarState) | (constB98 = VarState) | (constB97 = VarState) | (constB96 = VarState) | (constB95 = VarState) | (constB94 = VarState) | (constB93 = VarState) | (constB92 = VarState) | (constB91 = VarState) | (constB90 = VarState) | (constB89 = VarState) | (constB88 = VarState) | (constB87 = VarState) | (constB86 = VarState) | (constB85 = VarState) | (constB84 = VarState) | (constB83 = VarState) | (constB82 = VarState) | (constB81 = VarState) | (constB80 = VarState) | (constB79 = VarState) | (constB78 = VarState) | (constB77 = VarState) | (constB76 = VarState) | (constB75 = VarState) | (constB74 = VarState) | (constB73 = VarState) | (constB72 = VarState) | (constB71 = VarState) | (constB70 = VarState) | (constB69 = VarState) | (constB68 = VarState) | (constB67 = VarState) | (constB66 = VarState) | (constB65 = VarState) | (constB64 = VarState) | (constB63 = VarState) | (constB62 = VarState) | (constB61 = VarState) | (constB60 = VarState) | (constB59 = VarState) | (constB58 = VarState) | (constB57 = VarState) | (constB56 = VarState) | (constB55 = VarState) | (constB54 = VarState) | (constB53 = VarState) | (constB52 = VarState) | (constB51 = VarState) | (constB50 = VarState) | (constB49 = VarState) | (constB48 = VarState) | (constB47 = VarState) | (constB46 = VarState) | (constB45 = VarState) | (constB44 = VarState) | (constB43 = VarState) | (constB42 = VarState) | (constB41 = VarState) | (constB40 = VarState) | (constB39 = VarState) | (constB38 = VarState) | (constB37 = VarState) | (constB36 = VarState) | (constB35 = VarState) | (constB34 = VarState) | (constB33 = VarState) | (constB32 = VarState) | (constB31 = VarState) | (constB30 = VarState) | (constB29 = VarState) | (constB28 = VarState) | (constB27 = VarState) | (constB26 = VarState) | (constB25 = VarState) | (constB24 = VarState) | (constB23 = VarState) | (constB22 = VarState) | (constB21 = VarState) | (constB20 = VarState) | (constB19 = VarState) | (constB18 = VarState) | (constB17 = VarState) | (constB16 = VarState) | (constB15 = VarState) | (constB14 = VarState) | (constB13 = VarState) | (constB12 = VarState) | (constB11 = VarState) | (constB10 = VarState) | (constB9 = VarState) | (constB8 = VarState) | (constB7 = VarState) | (constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState) | (~reachableState(VarState)))),
% 9.20/7.14 inference(quant_intro,[status(thm)],[38520])).
% 9.20/7.14 tff(38522,plain,
% 9.20/7.14 (![VarState: $i] : ((constB200 = VarState) | (constB199 = VarState) | (constB198 = VarState) | (constB197 = VarState) | (constB196 = VarState) | (constB195 = VarState) | (constB194 = VarState) | (constB193 = VarState) | (constB192 = VarState) | (constB191 = VarState) | (constB190 = VarState) | (constB189 = VarState) | (constB188 = VarState) | (constB187 = VarState) | (constB186 = VarState) | (constB185 = VarState) | (constB184 = VarState) | (constB183 = VarState) | (constB182 = VarState) | (constB181 = VarState) | (constB180 = VarState) | (constB179 = VarState) | (constB178 = VarState) | (constB177 = VarState) | (constB176 = VarState) | (constB175 = VarState) | (constB174 = VarState) | (constB173 = VarState) | (constB172 = VarState) | (constB171 = VarState) | (constB170 = VarState) | (constB169 = VarState) | (constB168 = VarState) | (constB167 = VarState) | (constB166 = VarState) | (constB165 = VarState) | (constB164 = VarState) | (constB163 = VarState) | (constB162 = VarState) | (constB161 = VarState) | (constB160 = VarState) | (constB159 = VarState) | (constB158 = VarState) | (constB157 = VarState) | (constB156 = VarState) | (constB155 = VarState) | (constB154 = VarState) | (constB153 = VarState) | (constB152 = VarState) | (constB151 = VarState) | (constB150 = VarState) | (constB149 = VarState) | (constB148 = VarState) | (constB147 = VarState) | (constB146 = VarState) | (constB145 = VarState) | (constB144 = VarState) | (constB143 = VarState) | (constB142 = VarState) | (constB141 = VarState) | (constB140 = VarState) | (constB139 = VarState) | (constB138 = VarState) | (constB137 = VarState) | (constB136 = VarState) | (constB135 = VarState) | (constB134 = VarState) | (constB133 = VarState) | (constB132 = VarState) | (constB131 = VarState) | (constB130 = VarState) | (constB129 = VarState) | (constB128 = VarState) | (constB127 = VarState) | (constB126 = VarState) | (constB125 = VarState) | (constB124 = VarState) | (constB123 = VarState) | (constB122 = VarState) | (constB121 = VarState) | (constB120 = VarState) | (constB119 = VarState) | (constB118 = VarState) | (constB117 = VarState) | (constB116 = VarState) | (constB115 = VarState) | (constB114 = VarState) | (constB113 = VarState) | (constB112 = VarState) | (constB111 = VarState) | (constB110 = VarState) | (constB109 = VarState) | (constB108 = VarState) | (constB107 = VarState) | (constB106 = VarState) | (constB105 = VarState) | (constB104 = VarState) | (constB103 = VarState) | (constB102 = VarState) | (constB101 = VarState) | (constB100 = VarState) | (constB99 = VarState) | (constB98 = VarState) | (constB97 = VarState) | (constB96 = VarState) | (constB95 = VarState) | (constB94 = VarState) | (constB93 = VarState) | (constB92 = VarState) | (constB91 = VarState) | (constB90 = VarState) | (constB89 = VarState) | (constB88 = VarState) | (constB87 = VarState) | (constB86 = VarState) | (constB85 = VarState) | (constB84 = VarState) | (constB83 = VarState) | (constB82 = VarState) | (constB81 = VarState) | (constB80 = VarState) | (constB79 = VarState) | (constB78 = VarState) | (constB77 = VarState) | (constB76 = VarState) | (constB75 = VarState) | (constB74 = VarState) | (constB73 = VarState) | (constB72 = VarState) | (constB71 = VarState) | (constB70 = VarState) | (constB69 = VarState) | (constB68 = VarState) | (constB67 = VarState) | (constB66 = VarState) | (constB65 = VarState) | (constB64 = VarState) | (constB63 = VarState) | (constB62 = VarState) | (constB61 = VarState) | (constB60 = VarState) | (constB59 = VarState) | (constB58 = VarState) | (constB57 = VarState) | (constB56 = VarState) | (constB55 = VarState) | (constB54 = VarState) | (constB53 = VarState) | (constB52 = VarState) | (constB51 = VarState) | (constB50 = VarState) | (constB49 = VarState) | (constB48 = VarState) | (constB47 = VarState) | (constB46 = VarState) | (constB45 = VarState) | (constB44 = VarState) | (constB43 = VarState) | (constB42 = VarState) | (constB41 = VarState) | (constB40 = VarState) | (constB39 = VarState) | (constB38 = VarState) | (constB37 = VarState) | (constB36 = VarState) | (constB35 = VarState) | (constB34 = VarState) | (constB33 = VarState) | (constB32 = VarState) | (constB31 = VarState) | (constB30 = VarState) | (constB29 = VarState) | (constB28 = VarState) | (constB27 = VarState) | (constB26 = VarState) | (constB25 = VarState) | (constB24 = VarState) | (constB23 = VarState) | (constB22 = VarState) | (constB21 = VarState) | (constB20 = VarState) | (constB19 = VarState) | (constB18 = VarState) | (constB17 = VarState) | (constB16 = VarState) | (constB15 = VarState) | (constB14 = VarState) | (constB13 = VarState) | (constB12 = VarState) | (constB11 = VarState) | (constB10 = VarState) | (constB9 = VarState) | (constB8 = VarState) | (constB7 = VarState) | (constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState) | (~reachableState(VarState))) <=> ![VarState: $i] : ((constB200 = VarState) | (constB199 = VarState) | (constB198 = VarState) | (constB197 = VarState) | (constB196 = VarState) | (constB195 = VarState) | (constB194 = VarState) | (constB193 = VarState) | (constB192 = VarState) | (constB191 = VarState) | (constB190 = VarState) | (constB189 = VarState) | (constB188 = VarState) | (constB187 = VarState) | (constB186 = VarState) | (constB185 = VarState) | (constB184 = VarState) | (constB183 = VarState) | (constB182 = VarState) | (constB181 = VarState) | (constB180 = VarState) | (constB179 = VarState) | (constB178 = VarState) | (constB177 = VarState) | (constB176 = VarState) | (constB175 = VarState) | (constB174 = VarState) | (constB173 = VarState) | (constB172 = VarState) | (constB171 = VarState) | (constB170 = VarState) | (constB169 = VarState) | (constB168 = VarState) | (constB167 = VarState) | (constB166 = VarState) | (constB165 = VarState) | (constB164 = VarState) | (constB163 = VarState) | (constB162 = VarState) | (constB161 = VarState) | (constB160 = VarState) | (constB159 = VarState) | (constB158 = VarState) | (constB157 = VarState) | (constB156 = VarState) | (constB155 = VarState) | (constB154 = VarState) | (constB153 = VarState) | (constB152 = VarState) | (constB151 = VarState) | (constB150 = VarState) | (constB149 = VarState) | (constB148 = VarState) | (constB147 = VarState) | (constB146 = VarState) | (constB145 = VarState) | (constB144 = VarState) | (constB143 = VarState) | (constB142 = VarState) | (constB141 = VarState) | (constB140 = VarState) | (constB139 = VarState) | (constB138 = VarState) | (constB137 = VarState) | (constB136 = VarState) | (constB135 = VarState) | (constB134 = VarState) | (constB133 = VarState) | (constB132 = VarState) | (constB131 = VarState) | (constB130 = VarState) | (constB129 = VarState) | (constB128 = VarState) | (constB127 = VarState) | (constB126 = VarState) | (constB125 = VarState) | (constB124 = VarState) | (constB123 = VarState) | (constB122 = VarState) | (constB121 = VarState) | (constB120 = VarState) | (constB119 = VarState) | (constB118 = VarState) | (constB117 = VarState) | (constB116 = VarState) | (constB115 = VarState) | (constB114 = VarState) | (constB113 = VarState) | (constB112 = VarState) | (constB111 = VarState) | (constB110 = VarState) | (constB109 = VarState) | (constB108 = VarState) | (constB107 = VarState) | (constB106 = VarState) | (constB105 = VarState) | (constB104 = VarState) | (constB103 = VarState) | (constB102 = VarState) | (constB101 = VarState) | (constB100 = VarState) | (constB99 = VarState) | (constB98 = VarState) | (constB97 = VarState) | (constB96 = VarState) | (constB95 = VarState) | (constB94 = VarState) | (constB93 = VarState) | (constB92 = VarState) | (constB91 = VarState) | (constB90 = VarState) | (constB89 = VarState) | (constB88 = VarState) | (constB87 = VarState) | (constB86 = VarState) | (constB85 = VarState) | (constB84 = VarState) | (constB83 = VarState) | (constB82 = VarState) | (constB81 = VarState) | (constB80 = VarState) | (constB79 = VarState) | (constB78 = VarState) | (constB77 = VarState) | (constB76 = VarState) | (constB75 = VarState) | (constB74 = VarState) | (constB73 = VarState) | (constB72 = VarState) | (constB71 = VarState) | (constB70 = VarState) | (constB69 = VarState) | (constB68 = VarState) | (constB67 = VarState) | (constB66 = VarState) | (constB65 = VarState) | (constB64 = VarState) | (constB63 = VarState) | (constB62 = VarState) | (constB61 = VarState) | (constB60 = VarState) | (constB59 = VarState) | (constB58 = VarState) | (constB57 = VarState) | (constB56 = VarState) | (constB55 = VarState) | (constB54 = VarState) | (constB53 = VarState) | (constB52 = VarState) | (constB51 = VarState) | (constB50 = VarState) | (constB49 = VarState) | (constB48 = VarState) | (constB47 = VarState) | (constB46 = VarState) | (constB45 = VarState) | (constB44 = VarState) | (constB43 = VarState) | (constB42 = VarState) | (constB41 = VarState) | (constB40 = VarState) | (constB39 = VarState) | (constB38 = VarState) | (constB37 = VarState) | (constB36 = VarState) | (constB35 = VarState) | (constB34 = VarState) | (constB33 = VarState) | (constB32 = VarState) | (constB31 = VarState) | (constB30 = VarState) | (constB29 = VarState) | (constB28 = VarState) | (constB27 = VarState) | (constB26 = VarState) | (constB25 = VarState) | (constB24 = VarState) | (constB23 = VarState) | (constB22 = VarState) | (constB21 = VarState) | (constB20 = VarState) | (constB19 = VarState) | (constB18 = VarState) | (constB17 = VarState) | (constB16 = VarState) | (constB15 = VarState) | (constB14 = VarState) | (constB13 = VarState) | (constB12 = VarState) | (constB11 = VarState) | (constB10 = VarState) | (constB9 = VarState) | (constB8 = VarState) | (constB7 = VarState) | (constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState) | (~reachableState(VarState)))),
% 9.23/7.14 inference(rewrite,[status(thm)],[])).
% 9.23/7.14 tff(38523,plain,
% 9.23/7.14 (^[VarState: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((constB0 = VarState) | (constB1 = VarState)) | (constB2 = VarState)) <=> ((constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState))), (((((constB0 = VarState) | (constB1 = VarState)) | (constB2 = VarState)) | (constB3 = VarState)) <=> (((constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState)) | (constB3 = VarState)))), rewrite((((constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState)) | (constB3 = VarState)) <=> ((constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState))), (((((constB0 = VarState) | (constB1 = VarState)) | (constB2 = VarState)) | (constB3 = VarState)) <=> ((constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState)))), ((((((constB0 = VarState) | (constB1 = VarState)) | (constB2 = VarState)) | (constB3 = VarState)) | (constB4 = VarState)) <=> (((constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState)) | (constB4 = VarState)))), rewrite((((constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState)) | (constB4 = VarState)) <=> ((constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState))), ((((((constB0 = VarState) | (constB1 = VarState)) | (constB2 = VarState)) | (constB3 = VarState)) | (constB4 = VarState)) <=> ((constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState)))), (((((((constB0 = VarState) | (constB1 = VarState)) | (constB2 = VarState)) | (constB3 = VarState)) | (constB4 = VarState)) | (constB5 = VarState)) <=> (((constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState)) | (constB5 = VarState)))), rewrite((((constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState)) | (constB5 = VarState)) <=> ((constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState))), (((((((constB0 = VarState) | (constB1 = VarState)) | (constB2 = VarState)) | (constB3 = VarState)) | (constB4 = VarState)) | (constB5 = VarState)) <=> ((constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState)))), ((((((((constB0 = VarState) | (constB1 = VarState)) | (constB2 = VarState)) | (constB3 = VarState)) | (constB4 = VarState)) | (constB5 = VarState)) | (constB6 = VarState)) <=> (((constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState)) | (constB6 = VarState)))), rewrite((((constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState)) | (constB6 = VarState)) <=> ((constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState))), ((((((((constB0 = VarState) | (constB1 = VarState)) | (constB2 = VarState)) | (constB3 = VarState)) | (constB4 = VarState)) | (constB5 = VarState)) | (constB6 = VarState)) <=> ((constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState)))), (((((((((constB0 = VarState) | (constB1 = VarState)) | (constB2 = VarState)) | (constB3 = VarState)) | (constB4 = VarState)) | (constB5 = VarState)) | (constB6 = VarState)) | (constB7 = VarState)) <=> (((constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState)) | (constB7 = VarState)))), rewrite((((constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState)) | (constB7 = VarState)) <=> ((constB7 = VarState) | (constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState))), (((((((((constB0 = VarState) | (constB1 = VarState)) | (constB2 = VarState)) | (constB3 = VarState)) | (constB4 = VarState)) | (constB5 = VarState)) | (constB6 = VarState)) | (constB7 = VarState)) <=> ((constB7 = VarState) | (constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState)))), ((((((((((constB0 = VarState) | (constB1 = VarState)) | (constB2 = VarState)) | (constB3 = VarState)) | (constB4 = VarState)) | (constB5 = VarState)) | (constB6 = VarState)) | (constB7 = VarState)) | (constB8 = VarState)) <=> (((constB7 = VarState) | (constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState)) | (constB8 = VarState)))), rewrite((((constB7 = VarState) | (constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState)) | (constB8 = VarState)) <=> ((constB8 = VarState) | (constB7 = VarState) | (constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState))), ((((((((((constB0 = VarState) | (constB1 = VarState)) | (constB2 = VarState)) | (constB3 = VarState)) | (constB4 = VarState)) | (constB5 = VarState)) | (constB6 = VarState)) | (constB7 = VarState)) | (constB8 = VarState)) <=> ((constB8 = VarState) | (constB7 = VarState) | (constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState)))), (((((((((((constB0 = VarState) | (constB1 = VarState)) | (constB2 = VarState)) | (constB3 = VarState)) | (constB4 = VarState)) | (constB5 = VarState)) | (constB6 = VarState)) | (constB7 = VarState)) | (constB8 = VarState)) | (constB9 = VarState)) <=> (((constB8 = VarState) | (constB7 = VarState) | (constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState)) | (constB9 = VarState)))), rewrite((((constB8 = VarState) | (constB7 = VarState) | (constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState)) | (constB9 = VarState)) <=> ((constB9 = VarState) | (constB8 = VarState) | (constB7 = VarState) | (constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState))), (((((((((((constB0 = VarState) | (constB1 = VarState)) | (constB2 = VarState)) | (constB3 = VarState)) | (constB4 = VarState)) | (constB5 = VarState)) | (constB6 = VarState)) | (constB7 = VarState)) | (constB8 = VarState)) | (constB9 = VarState)) <=> ((constB9 = VarState) | (constB8 = VarState) | (constB7 = VarState) | (constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState)))), ((((((((((((constB0 = VarState) | (constB1 = VarState)) | (constB2 = VarState)) | (constB3 = VarState)) | (constB4 = VarState)) | (constB5 = VarState)) | (constB6 = VarState)) | (constB7 = VarState)) | (constB8 = VarState)) | (constB9 = VarState)) | (constB10 = VarState)) <=> (((constB9 = VarState) | (constB8 = VarState) | (constB7 = VarState) | (constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState)) | (constB10 = VarState)))), rewrite((((constB9 = VarState) | (constB8 = VarState) | (constB7 = VarState) | (constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState)) | (constB10 = VarState)) <=> ((constB10 = VarState) | (constB9 = VarState) | (constB8 = VarState) | (constB7 = VarState) | (constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState))), ((((((((((((constB0 = VarState) | (constB1 = VarState)) | (constB2 = VarState)) | (constB3 = VarState)) | (constB4 = VarState)) | (constB5 = VarState)) | (constB6 = VarState)) | (constB7 = VarState)) | (constB8 = VarState)) | (constB9 = VarState)) | (constB10 = VarState)) <=> ((constB10 = VarState) | (constB9 = VarState) | (constB8 = VarState) | (constB7 = VarState) | (constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState)))), (((((((((((((constB0 = VarState) | (constB1 = VarState)) | (constB2 = VarState)) | (constB3 = VarState)) | (constB4 = VarState)) | (constB5 = VarState)) | (constB6 = VarState)) | (constB7 = VarState)) | (constB8 = VarState)) | (constB9 = VarState)) | (constB10 = VarState)) | (constB11 = VarState)) <=> (((constB10 = VarState) | (constB9 = VarState) | (constB8 = VarState) | (constB7 = VarState) | (constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState)) | (constB11 = VarState)))), rewrite((((constB10 = VarState) | (constB9 = VarState) | (constB8 = VarState) | (constB7 = VarState) | (constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState)) | (constB11 = VarState)) <=> ((constB11 = VarState) | (constB10 = VarState) | (constB9 = VarState) | (constB8 = VarState) | (constB7 = VarState) | (constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState))), (((((((((((((constB0 = VarState) | (constB1 = VarState)) | (constB2 = VarState)) | (constB3 = VarState)) | (constB4 = VarState)) | (constB5 = VarState)) | (constB6 = VarState)) | (constB7 = VarState)) | (constB8 = VarState)) | (constB9 = VarState)) | (constB10 = VarState)) | (constB11 = VarState)) <=> ((constB11 = VarState) | (constB10 = VarState) | (constB9 = VarState) | (constB8 = VarState) | (constB7 = VarState) | (constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState)))), ((((((((((((((constB0 = VarState) | (constB1 = VarState)) | (constB2 = VarState)) | (constB3 = VarState)) | (constB4 = VarState)) | (constB5 = VarState)) | (constB6 = VarState)) | (constB7 = VarState)) | (constB8 = VarState)) | (constB9 = VarState)) | (constB10 = VarState)) | (constB11 = VarState)) | (constB12 = VarState)) <=> (((constB11 = VarState) | (constB10 = VarState) | (constB9 = VarState) | (constB8 = VarState) | (constB7 = VarState) | (constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState)) | (constB12 = VarState)))), rewrite((((constB11 = VarState) | (constB10 = VarState) | (constB9 = VarState) | (constB8 = VarState) | (constB7 = VarState) | (constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState)) | (constB12 = VarState)) <=> ((constB12 = VarState) | (constB11 = VarState) | (constB10 = VarState) | (constB9 = VarState) | (constB8 = VarState) | (constB7 = VarState) | (constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState))), ((((((((((((((constB0 = VarState) | (constB1 = VarState)) | (constB2 = VarState)) | (constB3 = VarState)) | (constB4 = VarState)) | (constB5 = VarState)) | (constB6 = VarState)) | (constB7 = VarState)) | (constB8 = VarState)) | (constB9 = VarState)) | (constB10 = VarState)) | (constB11 = VarState)) | (constB12 = VarState)) <=> ((constB12 = VarState) | (constB11 = VarState) | (constB10 = VarState) | (constB9 = VarState) | (constB8 = VarState) | (constB7 = VarState) | (constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState)))), (((((((((((((((constB0 = VarState) | (constB1 = VarState)) | (constB2 = VarState)) | (constB3 = VarState)) | (constB4 = VarState)) | (constB5 = VarState)) | (constB6 = VarState)) | (constB7 = VarState)) | (constB8 = VarState)) | (constB9 = VarState)) | (constB10 = VarState)) | (constB11 = VarState)) | (constB12 = VarState)) | (constB13 = VarState)) <=> (((constB12 = VarState) | (constB11 = VarState) | (constB10 = VarState) | (constB9 = VarState) | (constB8 = VarState) | (constB7 = VarState) | (constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState)) | (constB13 = VarState)))), rewrite((((constB12 = VarState) | (constB11 = VarState) | (constB10 = VarState) | (constB9 = VarState) | (constB8 = VarState) | (constB7 = VarState) | (constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState)) | (constB13 = VarState)) <=> ((constB13 = VarState) | (constB12 = VarState) | (constB11 = VarState) | (constB10 = VarState) | (constB9 = VarState) | (constB8 = VarState) | (constB7 = VarState) | (constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState))), (((((((((((((((constB0 = VarState) | (constB1 = VarState)) | (constB2 = VarState)) | (constB3 = VarState)) | (constB4 = VarState)) | (constB5 = VarState)) | (constB6 = VarState)) | (constB7 = VarState)) | (constB8 = VarState)) | (constB9 = VarState)) | (constB10 = VarState)) | (constB11 = VarState)) | (constB12 = VarState)) | (constB13 = VarState)) <=> ((constB13 = VarState) | (constB12 = VarState) | (constB11 = VarState) | (constB10 = VarState) | (constB9 = VarState) | (constB8 = VarState) | (constB7 = VarState) | (constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState)))), ((((((((((((((((constB0 = VarState) | (constB1 = VarState)) | (constB2 = VarState)) | (constB3 = VarState)) | (constB4 = VarState)) | (constB5 = VarState)) | (constB6 = VarState)) | (constB7 = VarState)) | (constB8 = VarState)) | (constB9 = VarState)) | (constB10 = VarState)) | (constB11 = VarState)) | (constB12 = VarState)) | (constB13 = VarState)) | (constB14 = VarState)) <=> (((constB13 = VarState) | (constB12 = VarState) | (constB11 = VarState) | (constB10 = VarState) | (constB9 = VarState) | (constB8 = VarState) | (constB7 = VarState) | (constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState)) | (constB14 = VarState)))), rewrite((((constB13 = VarState) | (constB12 = VarState) | (constB11 = VarState) | (constB10 = VarState) | (constB9 = VarState) | (constB8 = VarState) | (constB7 = VarState) | (constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState)) | (constB14 = VarState)) <=> ((constB14 = VarState) | (constB13 = VarState) | (constB12 = VarState) | (constB11 = VarState) | (constB10 = VarState) | (constB9 = VarState) | (constB8 = VarState) | (constB7 = VarState) | (constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState))), ((((((((((((((((constB0 = VarState) | (constB1 = VarState)) | (constB2 = VarState)) | (constB3 = VarState)) | (constB4 = VarState)) | (constB5 = VarState)) | (constB6 = VarState)) | (constB7 = VarState)) | (constB8 = VarState)) | (constB9 = VarState)) | (constB10 = VarState)) | (constB11 = VarState)) | (constB12 = VarState)) | (constB13 = VarState)) | (constB14 = VarState)) <=> ((constB14 = VarState) | (constB13 = VarState) | (constB12 = VarState) | (constB11 = VarState) | (constB10 = VarState) | (constB9 = VarState) | (constB8 = VarState) | (constB7 = VarState) | (constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState)))), (((((((((((((((((constB0 = VarState) | (constB1 = VarState)) | (constB2 = VarState)) | (constB3 = VarState)) | (constB4 = VarState)) | (constB5 = VarState)) | (constB6 = VarState)) | (constB7 = VarState)) | (constB8 = VarState)) | (constB9 = VarState)) | (constB10 = VarState)) | (constB11 = VarState)) | (constB12 = VarState)) | (constB13 = VarState)) | (constB14 = VarState)) | (constB15 = VarState)) <=> (((constB14 = VarState) | (constB13 = VarState) | (constB12 = VarState) | (constB11 = VarState) | (constB10 = VarState) | (constB9 = VarState) | (constB8 = VarState) | (constB7 = VarState) | (constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState)) | (constB15 = VarState)))), rewrite((((constB14 = VarState) | (constB13 = VarState) | (constB12 = VarState) | (constB11 = VarState) | (constB10 = VarState) | (constB9 = VarState) | (constB8 = VarState) | (constB7 = VarState) | (constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState)) | (constB15 = VarState)) <=> ((constB15 = VarState) | (constB14 = VarState) | (constB13 = VarState) | (constB12 = VarState) | (constB11 = VarState) | (constB10 = VarState) | (constB9 = VarState) | (constB8 = VarState) | (constB7 = VarState) | (constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState))), (((((((((((((((((constB0 = VarState) | (constB1 = VarState)) | (constB2 = VarState)) | (constB3 = VarState)) | (constB4 = VarState)) | (constB5 = VarState)) | (constB6 = VarState)) | (constB7 = VarState)) | (constB8 = VarState)) | (constB9 = VarState)) | (constB10 = VarState)) | (constB11 = VarState)) | (constB12 = VarState)) | (constB13 = VarState)) | (constB14 = VarState)) | (constB15 = VarState)) <=> ((constB15 = VarState) | (constB14 = VarState) | (constB13 = VarState) | (constB12 = VarState) | (constB11 = VarState) | (constB10 = VarState) | (constB9 = VarState) | (constB8 = VarState) | (constB7 = VarState) | (constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState)))), ((((((((((((((((((constB0 = VarState) | (constB1 = VarState)) | (constB2 = VarState)) | (constB3 = VarState)) | (constB4 = VarState)) | (constB5 = VarState)) | (constB6 = VarState)) | (constB7 = VarState)) | (constB8 = VarState)) | (constB9 = VarState)) | (constB10 = VarState)) | (constB11 = VarState)) | (constB12 = VarState)) | (constB13 = VarState)) | (constB14 = VarState)) | (constB15 = VarState)) | (constB16 = VarState)) <=> (((constB15 = VarState) | (constB14 = VarState) | (constB13 = VarState) | (constB12 = VarState) | (constB11 = VarState) | (constB10 = VarState) | (constB9 = VarState) | (constB8 = VarState) | (constB7 = VarState) | (constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState)) | (constB16 = VarState)))), rewrite((((constB15 = VarState) | (constB14 = VarState) | (constB13 = VarState) | (constB12 = VarState) | (constB11 = VarState) | (constB10 = VarState) | (constB9 = VarState) | (constB8 = VarState) | (constB7 = VarState) | (constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState)) | (constB16 = VarState)) <=> ((constB16 = VarState) | (constB15 = VarState) | (constB14 = VarState) | (constB13 = VarState) | (constB12 = VarState) | (constB11 = VarState) | (constB10 = VarState) | (constB9 = VarState) | (constB8 = VarState) | (constB7 = VarState) | (constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState))), ((((((((((((((((((constB0 = VarState) | (constB1 = VarState)) | (constB2 = VarState)) | (constB3 = VarState)) | (constB4 = VarState)) | (constB5 = VarState)) | (constB6 = VarState)) | (constB7 = VarState)) | (constB8 = VarState)) | (constB9 = VarState)) | (constB10 = VarState)) | (constB11 = VarState)) | (constB12 = VarState)) | (constB13 = VarState)) | (constB14 = VarState)) | (constB15 = VarState)) | (constB16 = VarState)) <=> ((constB16 = VarState) | (constB15 = VarState) | (constB14 = VarState) | (constB13 = VarState) | (constB12 = VarState) | (constB11 = VarState) | (constB10 = VarState) | (constB9 = VarState) | (constB8 = VarState) | (constB7 = VarState) | (constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState)))), (((((((((((((((((((constB0 = VarState) | (constB1 = VarState)) | (constB2 = VarState)) | (constB3 = VarState)) | (constB4 = VarState)) | (constB5 = VarState)) | (constB6 = VarState)) | (constB7 = VarState)) | (constB8 = VarState)) | (constB9 = VarState)) | (constB10 = VarState)) | (constB11 = VarState)) | (constB12 = VarState)) | (constB13 = VarState)) | (constB14 = VarState)) | (constB15 = VarState)) | (constB16 = VarState)) | (constB17 = VarState)) <=> (((constB16 = VarState) | (constB15 = VarState) | (constB14 = VarState) | (constB13 = VarState) | (constB12 = VarState) | (constB11 = VarState) | (constB10 = VarState) | (constB9 = VarState) | (constB8 = VarState) | (constB7 = VarState) | (constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState)) | (constB17 = VarState)))), rewrite((((constB16 = VarState) | (constB15 = VarState) | (constB14 = VarState) | (constB13 = VarState) | (constB12 = VarState) | (constB11 = VarState) | (constB10 = VarState) | (constB9 = VarState) | (constB8 = VarState) | (constB7 = VarState) | (constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState)) | (constB17 = VarState)) <=> ((constB17 = VarState) | (constB16 = VarState) | (constB15 = VarState) | (constB14 = VarState) | (constB13 = VarState) | (constB12 = VarState) | (constB11 = VarState) | (constB10 = VarState) | (constB9 = VarState) | (constB8 = VarState) | (constB7 = VarState) | (constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState))), (((((((((((((((((((constB0 = VarState) | (constB1 = VarState)) | (constB2 = VarState)) | (constB3 = VarState)) | (constB4 = VarState)) | (constB5 = VarState)) | (constB6 = VarState)) | (constB7 = VarState)) | (constB8 = VarState)) | (constB9 = VarState)) | (constB10 = VarState)) | (constB11 = VarState)) | (constB12 = VarState)) | (constB13 = VarState)) | (constB14 = VarState)) | (constB15 = VarState)) | (constB16 = VarState)) | (constB17 = VarState)) <=> ((constB17 = VarState) | (constB16 = VarState) | (constB15 = VarState) | (constB14 = VarState) | (constB13 = VarState) | (constB12 = VarState) | (constB11 = VarState) | (constB10 = VarState) | (constB9 = VarState) | (constB8 = VarState) | (constB7 = VarState) | (constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState)))), ((((((((((((((((((((constB0 = VarState) | (constB1 = VarState)) | (constB2 = VarState)) | (constB3 = VarState)) | (constB4 = VarState)) | (constB5 = VarState)) | (constB6 = VarState)) | (constB7 = VarState)) | (constB8 = VarState)) | (constB9 = VarState)) | (constB10 = VarState)) | (constB11 = VarState)) | (constB12 = VarState)) | (constB13 = VarState)) | (constB14 = VarState)) | (constB15 = VarState)) | (constB16 = VarState)) | (constB17 = VarState)) | (constB18 = VarState)) <=> (((constB17 = VarState) | (constB16 = VarState) | (constB15 = VarState) | (constB14 = VarState) | (constB13 = VarState) | (constB12 = VarState) | (constB11 = VarState) | (constB10 = VarState) | (constB9 = VarState) | (constB8 = VarState) | (constB7 = VarState) | (constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState)) | (constB18 = VarState)))), rewrite((((constB17 = VarState) | (constB16 = VarState) | (constB15 = VarState) | (constB14 = VarState) | (constB13 = VarState) | (constB12 = VarState) | (constB11 = VarState) | (constB10 = VarState) | (constB9 = VarState) | (constB8 = VarState) | (constB7 = VarState) | (constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState)) | (constB18 = VarState)) <=> ((constB18 = VarState) | (constB17 = VarState) | (constB16 = VarState) | (constB15 = VarState) | (constB14 = VarState) | (constB13 = VarState) | (constB12 = VarState) | (constB11 = VarState) | (constB10 = VarState) | (constB9 = VarState) | (constB8 = VarState) | (constB7 = VarState) | (constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState))), ((((((((((((((((((((constB0 = VarState) | (constB1 = VarState)) | (constB2 = VarState)) | (constB3 = VarState)) | (constB4 = VarState)) | (constB5 = VarState)) | (constB6 = VarState)) | (constB7 = VarState)) | (constB8 = VarState)) | (constB9 = VarState)) | (constB10 = VarState)) | (constB11 = VarState)) | (constB12 = VarState)) | (constB13 = VarState)) | (constB14 = VarState)) | (constB15 = VarState)) | (constB16 = VarState)) | (constB17 = VarState)) | (constB18 = VarState)) <=> ((constB18 = VarState) | (constB17 = VarState) | (constB16 = VarState) | (constB15 = VarState) | (constB14 = VarState) | (constB13 = VarState) | (constB12 = VarState) | (constB11 = VarState) | (constB10 = VarState) | (constB9 = VarState) | (constB8 = VarState) | (constB7 = VarState) | (constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState)))), (((((((((((((((((((((constB0 = VarState) | (constB1 = VarState)) | (constB2 = VarState)) | (constB3 = VarState)) | (constB4 = VarState)) | (constB5 = VarState)) | (constB6 = VarState)) | (constB7 = VarState)) | (constB8 = VarState)) | (constB9 = VarState)) | (constB10 = VarState)) | (constB11 = VarState)) | (constB12 = VarState)) | (constB13 = VarState)) | (constB14 = VarState)) | (constB15 = VarState)) | (constB16 = VarState)) | (constB17 = VarState)) | (constB18 = VarState)) | (constB19 = VarState)) <=> (((constB18 = VarState) | (constB17 = VarState) | (constB16 = VarState) | (constB15 = VarState) | (constB14 = VarState) | (constB13 = VarState) | (constB12 = VarState) | (constB11 = VarState) | (constB10 = VarState) | (constB9 = VarState) | (constB8 = VarState) | (constB7 = VarState) | (constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState)) | (constB19 = VarState)))), rewrite((((constB18 = VarState) | (constB17 = VarState) | (constB16 = VarState) | (constB15 = VarState) | (constB14 = VarState) | (constB13 = VarState) | (constB12 = VarState) | (constB11 = VarState) | (constB10 = VarState) | (constB9 = VarState) | (constB8 = VarState) | (constB7 = VarState) | (constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState)) | (constB19 = VarState)) <=> ((constB19 = VarState) | (constB18 = VarState) | (constB17 = VarState) | (constB16 = VarState) | (constB15 = VarState) | (constB14 = VarState) | (constB13 = VarState) | (constB12 = VarState) | (constB11 = VarState) | (constB10 = VarState) | (constB9 = VarState) | (constB8 = VarState) | (constB7 = VarState) | (constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState))), (((((((((((((((((((((constB0 = VarState) | (constB1 = VarState)) | (constB2 = VarState)) | (constB3 = VarState)) | (constB4 = VarState)) | (constB5 = VarState)) | (constB6 = VarState)) | (constB7 = VarState)) | (constB8 = VarState)) | (constB9 = VarState)) | (constB10 = VarState)) | (constB11 = VarState)) | (constB12 = VarState)) | (constB13 = VarState)) | (constB14 = VarState)) | (constB15 = VarState)) | (constB16 = VarState)) | (constB17 = VarState)) | (constB18 = VarState)) | (constB19 = VarState)) <=> ((constB19 = VarState) | (constB18 = VarState) | (constB17 = VarState) | (constB16 = VarState) | (constB15 = VarState) | (constB14 = VarState) | (constB13 = VarState) | (constB12 = VarState) | (constB11 = VarState) | (constB10 = VarState) | (constB9 = VarState) | (constB8 = VarState) | (constB7 = VarState) | (constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState)))), ((((((((((((((((((((((constB0 = VarState) | (constB1 = VarState)) | (constB2 = VarState)) | (constB3 = VarState)) | (constB4 = VarState)) | (constB5 = VarState)) | (constB6 = VarState)) | (constB7 = VarState)) | (constB8 = VarState)) | (constB9 = VarState)) | (constB10 = VarState)) | (constB11 = VarState)) | (constB12 = VarState)) | (constB13 = VarState)) | (constB14 = VarState)) | (constB15 = VarState)) | (constB16 = VarState)) | (constB17 = VarState)) | (constB18 = VarState)) | (constB19 = VarState)) | (constB20 = VarState)) <=> (((constB19 = VarState) | (constB18 = VarState) | (constB17 = VarState) | (constB16 = VarState) | (constB15 = VarState) | (constB14 = VarState) | (constB13 = VarState) | (constB12 = VarState) | (constB11 = VarState) | (constB10 = VarState) | (constB9 = VarState) | (constB8 = VarState) | (constB7 = VarState) | (constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState)) | (constB20 = VarState)))), rewrite((((constB19 = VarState) | (constB18 = VarState) | (constB17 = VarState) | (constB16 = VarState) | (constB15 = VarState) | (constB14 = VarState) | (constB13 = VarState) | (constB12 = VarState) | (constB11 = VarState) | (constB10 = VarState) | (constB9 = VarState) | (constB8 = VarState) | (constB7 = VarState) | (constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState)) | (constB20 = VarState)) <=> ((constB20 = VarState) | (constB19 = VarState) | (constB18 = VarState) | (constB17 = VarState) | (constB16 = VarState) | (constB15 = VarState) | (constB14 = VarState) | (constB13 = VarState) | (constB12 = VarState) | (constB11 = VarState) | (constB10 = VarState) | (constB9 = VarState) | (constB8 = VarState) | (constB7 = VarState) | (constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState))), ((((((((((((((((((((((constB0 = VarState) | (constB1 = VarState)) | (constB2 = VarState)) | (constB3 = VarState)) | (constB4 = VarState)) | (constB5 = VarState)) | (constB6 = VarState)) | (constB7 = VarState)) | (constB8 = VarState)) | (constB9 = VarState)) | (constB10 = VarState)) | (constB11 = VarState)) | (constB12 = VarState)) | (constB13 = VarState)) | (constB14 = VarState)) | (constB15 = VarState)) | (constB16 = VarState)) | (constB17 = VarState)) | (constB18 = VarState)) | (constB19 = VarState)) | (constB20 = VarState)) <=> ((constB20 = VarState) | (constB19 = VarState) | (constB18 = VarState) | (constB17 = VarState) | (constB16 = VarState) | (constB15 = VarState) | (constB14 = VarState) | (constB13 = VarState) | (constB12 = VarState) | (constB11 = VarState) | (constB10 = VarState) | (constB9 = VarState) | (constB8 = VarState) | (constB7 = VarState) | (constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState)))), (((((((((((((((((((((((constB0 = VarState) | (constB1 = VarState)) | (constB2 = VarState)) | (constB3 = VarState)) | (constB4 = VarState)) | (constB5 = VarState)) | (constB6 = VarState)) | (constB7 = VarState)) | (constB8 = VarState)) | (constB9 = VarState)) | (constB10 = VarState)) | (constB11 = VarState)) | (constB12 = VarState)) | (constB13 = VarState)) | (constB14 = VarState)) | (constB15 = VarState)) | (constB16 = VarState)) | (constB17 = VarState)) | (constB18 = VarState)) | (constB19 = VarState)) | (constB20 = VarState)) | (constB21 = VarState)) <=> (((constB20 = VarState) | (constB19 = VarState) | (constB18 = VarState) | (constB17 = VarState) | (constB16 = VarState) | (constB15 = VarState) | (constB14 = VarState) | (constB13 = VarState) | (constB12 = VarState) | (constB11 = VarState) | (constB10 = VarState) | (constB9 = VarState) | (constB8 = VarState) | (constB7 = VarState) | (constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState)) | (constB21 = VarState)))), rewrite((((constB20 = VarState) | (constB19 = VarState) | (constB18 = VarState) | (constB17 = VarState) | (constB16 = VarState) | (constB15 = VarState) | (constB14 = VarState) | (constB13 = VarState) | (constB12 = VarState) | (constB11 = VarState) | (constB10 = VarState) | (constB9 = VarState) | (constB8 = VarState) | (constB7 = VarState) | (constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState)) | (constB21 = VarState)) <=> ((constB21 = VarState) | (constB20 = VarState) | (constB19 = VarState) | (constB18 = VarState) | (constB17 = VarState) | (constB16 = VarState) | (constB15 = VarState) | (constB14 = VarState) | (constB13 = VarState) | (constB12 = VarState) | (constB11 = VarState) | (constB10 = VarState) | (constB9 = VarState) | (constB8 = VarState) | (constB7 = VarState) | (constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState))), (((((((((((((((((((((((constB0 = VarState) | (constB1 = VarState)) | (constB2 = VarState)) | (constB3 = VarState)) | (constB4 = VarState)) | (constB5 = VarState)) | (constB6 = VarState)) | (constB7 = VarState)) | (constB8 = VarState)) | (constB9 = VarState)) | (constB10 = VarState)) | (constB11 = VarState)) | (constB12 = VarState)) | (constB13 = VarState)) | (constB14 = VarState)) | (constB15 = VarState)) | (constB16 = VarState)) | (constB17 = VarState)) | (constB18 = VarState)) | (constB19 = VarState)) | (constB20 = VarState)) | (constB21 = VarState)) <=> ((constB21 = VarState) | (constB20 = VarState) | (constB19 = VarState) | (constB18 = VarState) | (constB17 = VarState) | (constB16 = VarState) | (constB15 = VarState) | (constB14 = VarState) | (constB13 = VarState) | (constB12 = VarState) | (constB11 = VarState) | (constB10 = VarState) | (constB9 = VarState) | (constB8 = VarState) | (constB7 = VarState) | (constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState)))), ((((((((((((((((((((((((constB0 = VarState) | (constB1 = VarState)) | (constB2 = VarState)) | (constB3 = VarState)) | (constB4 = VarState)) | (constB5 = VarState)) | (constB6 = VarState)) | (constB7 = VarState)) | (constB8 = VarState)) | (constB9 = VarState)) | (constB10 = VarState)) | (constB11 = VarState)) | (constB12 = VarState)) | (constB13 = VarState)) | (constB14 = VarState)) | (constB15 = VarState)) | (constB16 = VarState)) | (constB17 = VarState)) | (constB18 = VarState)) | (constB19 = VarState)) | (constB20 = VarState)) | (constB21 = VarState)) | (constB22 = VarState)) <=> (((constB21 = VarState) | (constB20 = VarState) | (constB19 = VarState) | (constB18 = VarState) | (constB17 = VarState) | (constB16 = VarState) | (constB15 = VarState) | (constB14 = VarState) | (constB13 = VarState) | (constB12 = VarState) | (constB11 = VarState) | (constB10 = VarState) | (constB9 = VarState) | (constB8 = VarState) | (constB7 = VarState) | (constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState)) | (constB22 = VarState)))), rewrite((((constB21 = VarState) | (constB20 = VarState) | (constB19 = VarState) | (constB18 = VarState) | (constB17 = VarState) | (constB16 = VarState) | (constB15 = VarState) | (constB14 = VarState) | (constB13 = VarState) | (constB12 = VarState) | (constB11 = VarState) | (constB10 = VarState) | (constB9 = VarState) | (constB8 = VarState) | (constB7 = VarState) | (constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState)) | (constB22 = VarState)) <=> ((constB22 = VarState) | (constB21 = VarState) | (constB20 = VarState) | (constB19 = VarState) | (constB18 = VarState) | (constB17 = VarState) | (constB16 = VarState) | (constB15 = VarState) | (constB14 = VarState) | (constB13 = VarState) | (constB12 = VarState) | (constB11 = VarState) | (constB10 = VarState) | (constB9 = VarState) | (constB8 = VarState) | (constB7 = VarState) | (constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState))), ((((((((((((((((((((((((constB0 = VarState) | (constB1 = VarState)) | (constB2 = VarState)) | (constB3 = VarState)) | (constB4 = VarState)) | (constB5 = VarState)) | (constB6 = VarState)) | (constB7 = VarState)) | (constB8 = VarState)) | (constB9 = VarState)) | (constB10 = VarState)) | (constB11 = VarState)) | (constB12 = VarState)) | (constB13 = VarState)) | (constB14 = VarState)) | (constB15 = VarState)) | (constB16 = VarState)) | (constB17 = VarState)) | (constB18 = VarState)) | (constB19 = VarState)) | (constB20 = VarState)) | (constB21 = VarState)) | (constB22 = VarState)) <=> ((constB22 = VarState) | (constB21 = VarState) | (constB20 = VarState) | (constB19 = VarState) | (constB18 = VarState) | (constB17 = VarState) | (constB16 = VarState) | (constB15 = VarState) | (constB14 = VarState) | (constB13 = VarState) | (constB12 = VarState) | (constB11 = VarState) | (constB10 = VarState) | (constB9 = VarState) | (constB8 = VarState) | (constB7 = VarState) | (constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState)))), (((((((((((((((((((((((((constB0 = VarState) | (constB1 = VarState)) | (constB2 = VarState)) | (constB3 = VarState)) | (constB4 = VarState)) | (constB5 = VarState)) | (constB6 = VarState)) | (constB7 = VarState)) | (constB8 = VarState)) | (constB9 = VarState)) | (constB10 = VarState)) | (constB11 = VarState)) | (constB12 = VarState)) | (constB13 = VarState)) | (constB14 = VarState)) | (constB15 = VarState)) | (constB16 = VarState)) | (constB17 = VarState)) | (constB18 = VarState)) | (constB19 = VarState)) | (constB20 = VarState)) | (constB21 = VarState)) | (constB22 = VarState)) | (constB23 = VarState)) <=> (((constB22 = VarState) | (constB21 = VarState) | (constB20 = VarState) | (constB19 = VarState) | (constB18 = VarState) | (constB17 = VarState) | (constB16 = VarState) | (constB15 = VarState) | (constB14 = VarState) | (constB13 = VarState) | (constB12 = VarState) | (constB11 = VarState) | (constB10 = VarState) | (constB9 = VarState) | (constB8 = VarState) | (constB7 = VarState) | (constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState)) | (constB23 = VarState)))), rewrite((((constB22 = VarState) | (constB21 = VarState) | (constB20 = VarState) | (constB19 = VarState) | (constB18 = VarState) | (constB17 = VarState) | (constB16 = VarState) | (constB15 = VarState) | (constB14 = VarState) | (constB13 = VarState) | (constB12 = VarState) | (constB11 = VarState) | (constB10 = VarState) | (constB9 = VarState) | (constB8 = VarState) | (constB7 = VarState) | (constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState)) | (constB23 = VarState)) <=> ((constB23 = VarState) | (constB22 = VarState) | (constB21 = VarState) | (constB20 = VarState) | (constB19 = VarState) | (constB18 = VarState) | (constB17 = VarState) | (constB16 = VarState) | (constB15 = VarState) | (constB14 = VarState) | (constB13 = VarState) | (constB12 = VarState) | (constB11 = VarState) | (constB10 = VarState) | (constB9 = VarState) | (constB8 = VarState) | (constB7 = VarState) | (constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState))), (((((((((((((((((((((((((constB0 = VarState) | (constB1 = VarState)) | (constB2 = VarState)) | (constB3 = VarState)) | (constB4 = VarState)) | (constB5 = VarState)) | (constB6 = VarState)) | (constB7 = VarState)) | (constB8 = VarState)) | (constB9 = VarState)) | (constB10 = VarState)) | (constB11 = VarState)) | (constB12 = VarState)) | (constB13 = VarState)) | (constB14 = VarState)) | (constB15 = VarState)) | (constB16 = VarState)) | (constB17 = VarState)) | (constB18 = VarState)) | (constB19 = VarState)) | (constB20 = VarState)) | (constB21 = VarState)) | (constB22 = VarState)) | (constB23 = VarState)) <=> ((constB23 = VarState) | (constB22 = VarState) | (constB21 = VarState) | (constB20 = VarState) | (constB19 = VarState) | (constB18 = VarState) | (constB17 = VarState) | (constB16 = VarState) | (constB15 = VarState) | (constB14 = VarState) | (constB13 = VarState) | (constB12 = VarState) | (constB11 = VarState) | (constB10 = VarState) | (constB9 = VarState) | (constB8 = VarState) | (constB7 = VarState) | (constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState)))), ((((((((((((((((((((((((((constB0 = VarState) | (constB1 = VarState)) | (constB2 = VarState)) | (constB3 = VarState)) | (constB4 = VarState)) | (constB5 = VarState)) | (constB6 = VarState)) | (constB7 = VarState)) | (constB8 = VarState)) | (constB9 = VarState)) | (constB10 = VarState)) | (constB11 = VarState)) | (constB12 = VarState)) | (constB13 = VarState)) | (constB14 = VarState)) | (constB15 = VarState)) | (constB16 = VarState)) | (constB17 = VarState)) | (constB18 = VarState)) | (constB19 = VarState)) | (constB20 = VarState)) | (constB21 = VarState)) | (constB22 = VarState)) | (constB23 = VarState)) | (constB24 = VarState)) <=> (((constB23 = VarState) | (constB22 = VarState) | (constB21 = VarState) | (constB20 = VarState) | (constB19 = VarState) | (constB18 = VarState) | (constB17 = VarState) | (constB16 = VarState) | (constB15 = VarState) | (constB14 = VarState) | (constB13 = VarState) | (constB12 = VarState) | (constB11 = VarState) | (constB10 = VarState) | (constB9 = VarState) | (constB8 = VarState) | (constB7 = VarState) | (constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState)) | (constB24 = VarState)))), rewrite((((constB23 = VarState) | (constB22 = VarState) | (constB21 = VarState) | (constB20 = VarState) | (constB19 = VarState) | (constB18 = VarState) | (constB17 = VarState) | (constB16 = VarState) | (constB15 = VarState) | (constB14 = VarState) | (constB13 = VarState) | (constB12 = VarState) | (constB11 = VarState) | (constB10 = VarState) | (constB9 = VarState) | (constB8 = VarState) | (constB7 = VarState) | (constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState)) | (constB24 = VarState)) <=> ((constB24 = VarState) | (constB23 = VarState) | (constB22 = VarState) | (constB21 = VarState) | (constB20 = VarState) | (constB19 = VarState) | (constB18 = VarState) | (constB17 = VarState) | (constB16 = VarState) | (constB15 = VarState) | (constB14 = VarState) | (constB13 = VarState) | (constB12 = VarState) | (constB11 = VarState) | (constB10 = VarState) | (constB9 = VarState) | (constB8 = VarState) | (constB7 = VarState) | (constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState))), ((((((((((((((((((((((((((constB0 = VarState) | (constB1 = VarState)) | (constB2 = VarState)) | (constB3 = VarState)) | (constB4 = VarState)) | (constB5 = VarState)) | (constB6 = VarState)) | (constB7 = VarState)) | (constB8 = VarState)) | (constB9 = VarState)) | (constB10 = VarState)) | (constB11 = VarState)) | (constB12 = VarState)) | (constB13 = VarState)) | (constB14 = VarState)) | (constB15 = VarState)) | (constB16 = VarState)) | (constB17 = VarState)) | (constB18 = VarState)) | (constB19 = VarState)) | (constB20 = VarState)) | (constB21 = VarState)) | (constB22 = VarState)) | (constB23 = VarState)) | (constB24 = VarState)) <=> ((constB24 = VarState) | (constB23 = VarState) | (constB22 = VarState) | (constB21 = VarState) | (constB20 = VarState) | (constB19 = VarState) | (constB18 = VarState) | (constB17 = VarState) | (constB16 = VarState) | (constB15 = VarState) | (constB14 = VarState) | (constB13 = VarState) | (constB12 = VarState) | (constB11 = VarState) | (constB10 = VarState) | (constB9 = VarState) | (constB8 = VarState) | (constB7 = VarState) | (constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState)))), (((((((((((((((((((((((((((constB0 = VarState) | (constB1 = VarState)) | (constB2 = VarState)) | (constB3 = VarState)) | (constB4 = VarState)) | (constB5 = VarState)) | (constB6 = VarState)) | (constB7 = VarState)) | (constB8 = VarState)) | (constB9 = VarState)) | (constB10 = VarState)) | (constB11 = VarState)) | (constB12 = VarState)) | (constB13 = VarState)) | (constB14 = VarState)) | (constB15 = VarState)) | (constB16 = VarState)) | (constB17 = VarState)) | (constB18 = VarState)) | (constB19 = VarState)) | (constB20 = VarState)) | (constB21 = VarState)) | (constB22 = VarState)) | (constB23 = VarState)) | (constB24 = VarState)) | (constB25 = VarState)) <=> (((constB24 = VarState) | (constB23 = VarState) | (constB22 = VarState) | (constB21 = VarState) | (constB20 = VarState) | (constB19 = VarState) | (constB18 = VarState) | (constB17 = VarState) | (constB16 = VarState) | (constB15 = VarState) | (constB14 = VarState) | (constB13 = VarState) | (constB12 = VarState) | (constB11 = VarState) | (constB10 = VarState) | (constB9 = VarState) | (constB8 = VarState) | (constB7 = VarState) | (constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState)) | (constB25 = VarState)))), rewrite((((constB24 = VarState) | (constB23 = VarState) | (constB22 = VarState) | (constB21 = VarState) | (constB20 = VarState) | (constB19 = VarState) | (constB18 = VarState) | (constB17 = VarState) | (constB16 = VarState) | (constB15 = VarState) | (constB14 = VarState) | (constB13 = VarState) | (constB12 = VarState) | (constB11 = VarState) | (constB10 = VarState) | (constB9 = VarState) | (constB8 = VarState) | (constB7 = VarState) | (constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState)) | (constB25 = VarState)) <=> ((constB25 = VarState) | (constB24 = VarState) | (constB23 = VarState) | (constB22 = VarState) | (constB21 = VarState) | (constB20 = VarState) | (constB19 = VarState) | (constB18 = VarState) | (constB17 = VarState) | (constB16 = VarState) | (constB15 = VarState) | (constB14 = VarState) | (constB13 = VarState) | (constB12 = VarState) | (constB11 = VarState) | (constB10 = VarState) | (constB9 = VarState) | (constB8 = VarState) | (constB7 = VarState) | (constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState))), (((((((((((((((((((((((((((constB0 = VarState) | (constB1 = VarState)) | (constB2 = VarState)) | (constB3 = VarState)) | (constB4 = VarState)) | (constB5 = VarState)) | (constB6 = VarState)) | (constB7 = VarState)) | (constB8 = VarState)) | (constB9 = VarState)) | (constB10 = VarState)) | (constB11 = VarState)) | (constB12 = VarState)) | (constB13 = VarState)) | (constB14 = VarState)) | (constB15 = VarState)) | (constB16 = VarState)) | (constB17 = VarState)) | (constB18 = VarState)) | (constB19 = VarState)) | (constB20 = VarState)) | (constB21 = VarState)) | (constB22 = VarState)) | (constB23 = VarState)) | (constB24 = VarState)) | (constB25 = VarState)) <=> ((constB25 = VarState) | (constB24 = VarState) | (constB23 = VarState) | (constB22 = VarState) | (constB21 = VarState) | (constB20 = VarState) | (constB19 = VarState) | (constB18 = VarState) | (constB17 = VarState) | (constB16 = VarState) | (constB15 = VarState) | (constB14 = VarState) | (constB13 = VarState) | (constB12 = VarState) | (constB11 = VarState) | (constB10 = VarState) | (constB9 = VarState) | (constB8 = VarState) | (constB7 = VarState) | (constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState)))), ((((((((((((((((((((((((((((constB0 = VarState) | (constB1 = VarState)) | (constB2 = VarState)) | (constB3 = VarState)) | (constB4 = VarState)) | (constB5 = VarState)) | (constB6 = VarState)) | (constB7 = VarState)) | (constB8 = VarState)) | (constB9 = VarState)) | (constB10 = VarState)) | (constB11 = VarState)) | (constB12 = VarState)) | (constB13 = VarState)) | (constB14 = VarState)) | (constB15 = VarState)) | (constB16 = VarState)) | (constB17 = VarState)) | (constB18 = VarState)) | (constB19 = VarState)) | (constB20 = VarState)) | (constB21 = VarState)) | (constB22 = VarState)) | (constB23 = VarState)) | (constB24 = VarState)) | (constB25 = VarState)) | (constB26 = VarState)) <=> (((constB25 = VarState) | (constB24 = VarState) | (constB23 = VarState) | (constB22 = VarState) | (constB21 = VarState) | (constB20 = VarState) | (constB19 = VarState) | (constB18 = VarState) | (constB17 = VarState) | (constB16 = VarState) | (constB15 = VarState) | (constB14 = VarState) | (constB13 = VarState) | (constB12 = VarState) | (constB11 = VarState) | (constB10 = VarState) | (constB9 = VarState) | (constB8 = VarState) | (constB7 = VarState) | (constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState)) | (constB26 = VarState)))), rewrite((((constB25 = VarState) | (constB24 = VarState) | (constB23 = VarState) | (constB22 = VarState) | (constB21 = VarState) | (constB20 = VarState) | (constB19 = VarState) | (constB18 = VarState) | (constB17 = VarState) | (constB16 = VarState) | (constB15 = VarState) | (constB14 = VarState) | (constB13 = VarState) | (constB12 = VarState) | (constB11 = VarState) | (constB10 = VarState) | (constB9 = VarState) | (constB8 = VarState) | (constB7 = VarState) | (constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState)) | (constB26 = VarState)) <=> ((constB26 = VarState) | (constB25 = VarState) | (constB24 = VarState) | (constB23 = VarState) | (constB22 = VarState) | (constB21 = VarState) | (constB20 = VarState) | (constB19 = VarState) | (constB18 = VarState) | (constB17 = VarState) | (constB16 = VarState) | (constB15 = VarState) | (constB14 = VarState) | (constB13 = VarState) | (constB12 = VarState) | (constB11 = VarState) | (constB10 = VarState) | (constB9 = VarState) | (constB8 = VarState) | (constB7 = VarState) | (constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState))), ((((((((((((((((((((((((((((constB0 = VarState) | (constB1 = VarState)) | (constB2 = VarState)) | (constB3 = VarState)) | (constB4 = VarState)) | (constB5 = VarState)) | (constB6 = VarState)) | (constB7 = VarState)) | (constB8 = VarState)) | (constB9 = VarState)) | (constB10 = VarState)) | (constB11 = VarState)) | (constB12 = VarState)) | (constB13 = VarState)) | (constB14 = VarState)) | (constB15 = VarState)) | (constB16 = VarState)) | (constB17 = VarState)) | (constB18 = VarState)) | (constB19 = VarState)) | (constB20 = VarState)) | (constB21 = VarState)) | (constB22 = VarState)) | (constB23 = VarState)) | (constB24 = VarState)) | (constB25 = VarState)) | (constB26 = VarState)) <=> ((constB26 = VarState) | (constB25 = VarState) | (constB24 = VarState) | (constB23 = VarState) | (constB22 = VarState) | (constB21 = VarState) | (constB20 = VarState) | (constB19 = VarState) | (constB18 = VarState) | (constB17 = VarState) | (constB16 = VarState) | (constB15 = VarState) | (constB14 = VarState) | (constB13 = VarState) | (constB12 = VarState) | (constB11 = VarState) | (constB10 = VarState) | (constB9 = VarState) | (constB8 = VarState) | (constB7 = VarState) | (constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState)))), (((((((((((((((((((((((((((((constB0 = VarState) | (constB1 = VarState)) | (constB2 = VarState)) | (constB3 = VarState)) | (constB4 = VarState)) | (constB5 = VarState)) | (constB6 = VarState)) | (constB7 = VarState)) | (constB8 = VarState)) | (constB9 = VarState)) | (constB10 = VarState)) | (constB11 = VarState)) | (constB12 = VarState)) | (constB13 = VarState)) | (constB14 = VarState)) | (constB15 = VarState)) | (constB16 = VarState)) | (constB17 = VarState)) | (constB18 = VarState)) | (constB19 = VarState)) | (constB20 = VarState)) | (constB21 = VarState)) | (constB22 = VarState)) | (constB23 = VarState)) | (constB24 = VarState)) | (constB25 = VarState)) | (constB26 = VarState)) | (constB27 = VarState)) <=> (((constB26 = VarState) | (constB25 = VarState) | (constB24 = VarState) | (constB23 = VarState) | (constB22 = VarState) | (constB21 = VarState) | (constB20 = VarState) | (constB19 = VarState) | (constB18 = VarState) | (constB17 = VarState) | (constB16 = VarState) | (constB15 = VarState) | (constB14 = VarState) | (constB13 = VarState) | (constB12 = VarState) | (constB11 = VarState) | (constB10 = VarState) | (constB9 = VarState) | (constB8 = VarState) | (constB7 = VarState) | (constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState)) | (constB27 = VarState)))), rewrite((((constB26 = VarState) | (constB25 = VarState) | (constB24 = VarState) | (constB23 = VarState) | (constB22 = VarState) | (constB21 = VarState) | (constB20 = VarState) | (constB19 = VarState) | (constB18 = VarState) | (constB17 = VarState) | (constB16 = VarState) | (constB15 = VarState) | (constB14 = VarState) | (constB13 = VarState) | (constB12 = VarState) | (constB11 = VarState) | (constB10 = VarState) | (constB9 = VarState) | (constB8 = VarState) | (constB7 = VarState) | (constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState)) | (constB27 = VarState)) <=> ((constB27 = VarState) | (constB26 = VarState) | (constB25 = VarState) | (constB24 = VarState) | (constB23 = VarState) | (constB22 = VarState) | (constB21 = VarState) | (constB20 = VarState) | (constB19 = VarState) | (constB18 = VarState) | (constB17 = VarState) | (constB16 = VarState) | (constB15 = VarState) | (constB14 = VarState) | (constB13 = VarState) | (constB12 = VarState) | (constB11 = VarState) | (constB10 = VarState) | (constB9 = VarState) | (constB8 = VarState) | (constB7 = VarState) | (constB6 = VarState) | (constB5 = VarState) | (constB4 = VarState) | (constB3 = VarState) | (constB2 = VarState) | (constB1 = VarState) | (constB0 = VarState))), (((((((((((((((((((((((((((((constB0 = VarState) | (constB1 = VarState)) | (constB2 = VarState)) | (constB3 = VarState)) | (constB4 = VarState)) | (constB5 = VarState)) | (constB6 = VarState)) | (constB7 = VarState)) | (constB8 = VarState)) | (constB9 = VarState)) | (constB10 = VarState)) | (constB11 = VarState)) | (constB12 = VarState)) | (constB13 = VarState)) | (constB14 = VarState)) | (constB15 = VarState)) | (constB16 = VarState)) | (constB17 = VarState)) | (constB18 = VarState)) | (constB19 = VarState)) | (constB20 = VarState)) | (constB21 = VarState)) | (constB22 = VarState)) | (constB23 = VarState)) | (constB24 = VarState)) | (constB25 = VarState)) | (constB26 = VarState)) | (constB27 = VarState)) <